LMFDB - Embedded newform 192.2.s.a.11.19

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			11.19
Character	$\chi$	$=$	192.11
Dual form			192.2.s.a.35.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.321350 + 1.37722i) q^{2} +(-1.15334 + 1.29221i) q^{3} +(-1.79347 + 0.885139i) q^{4} +(-1.30855 + 0.874343i) q^{5} +(-2.15028 - 1.17315i) q^{6} +(0.168531 - 0.406870i) q^{7} +(-1.79536 - 2.18556i) q^{8} +(-0.339613 - 2.98072i) q^{9} +O(q^{10})$	\(q+(0.321350 + 1.37722i) q^{2} +(-1.15334 + 1.29221i) q^{3} +(-1.79347 + 0.885139i) q^{4} +(-1.30855 + 0.874343i) q^{5} +(-2.15028 - 1.17315i) q^{6} +(0.168531 - 0.406870i) q^{7} +(-1.79536 - 2.18556i) q^{8} +(-0.339613 - 2.98072i) q^{9} +(-1.62466 - 1.52119i) q^{10} +(-0.752179 + 3.78146i) q^{11} +(0.924694 - 3.33840i) q^{12} +(0.0436304 - 0.0652976i) q^{13} +(0.614507 + 0.101357i) q^{14} +(0.379365 - 2.69933i) q^{15} +(2.43306 - 3.17494i) q^{16} +(-1.55016 - 1.55016i) q^{17} +(3.99597 - 1.42557i) q^{18} +(-2.79972 + 4.19007i) q^{19} +(1.57292 - 2.72635i) q^{20} +(0.331388 + 0.687037i) q^{21} +(-5.44961 + 0.179256i) q^{22} +(2.75223 + 6.64447i) q^{23} +(4.89487 + 0.200711i) q^{24} +(-0.965598 + 2.33116i) q^{25} +(0.103950 + 0.0391053i) q^{26} +(4.24340 + 2.99893i) q^{27} +(0.0578812 + 0.878881i) q^{28} +(3.71849 - 0.739653i) q^{29} +(3.83948 - 0.344961i) 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} +(3.24743 + 5.04521i) q^{36} +(2.61217 - 1.74540i) q^{37} +(-6.67034 - 2.50935i) q^{38} +(0.0340574 + 0.131690i) q^{39} +(4.26024 + 1.29015i) q^{40} +(1.33020 - 0.550986i) q^{41} +(-0.839709 + 0.677173i) q^{42} +(-1.69766 + 8.53471i) q^{43} +(-1.99811 - 7.44771i) q^{44} +(3.05057 + 3.60347i) q^{45} +(-8.26646 + 5.92562i) q^{46} +(7.32240 - 7.32240i) q^{47} +(1.29654 + 6.80581i) q^{48} +(4.81261 + 4.81261i) q^{49} +(-3.52081 - 0.580723i) q^{50} +(3.79101 - 0.215271i) q^{51} +(-0.0204524 + 0.155728i) q^{52} +(-7.18480 - 1.42914i) q^{53} +(-2.76657 + 6.80780i) q^{54} +(-2.32203 - 5.60588i) q^{55} +(-1.19181 + 0.362144i) q^{56} +(-2.18543 - 8.45040i) q^{57} +(2.21360 + 4.88348i) q^{58} +(2.48021 + 3.71190i) q^{59} +(1.70890 + 5.17696i) 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} +(6.05362 - 7.24879i) q^{66} +(-2.12490 - 10.6826i) q^{67} +(4.15228 + 1.40806i) q^{68} +(-11.7603 - 4.10688i) q^{69} +(-0.892731 + 0.404660i) q^{70} +(9.65353 + 3.99862i) q^{71} +(-5.90481 + 6.09371i) q^{72} +(-10.8167 + 4.48041i) q^{73} +(3.24322 + 3.03665i) q^{74} +(-1.89868 - 3.93638i) q^{75} +(1.31241 - 9.99290i) q^{76} +(1.41180 + 0.943332i) q^{77} +(-0.170422 + 0.0892231i) q^{78} +(9.60521 - 9.60521i) q^{79} +(-0.407787 + 6.28188i) q^{80} +(-8.76933 + 2.02458i) q^{81} +(1.18629 + 1.65492i) q^{82} +(-4.53596 - 3.03083i) q^{83} +(-1.20246 - 0.938855i) q^{84} +(3.38384 + 0.673087i) q^{85} +(-12.2997 + 0.404578i) q^{86} +(-3.33289 + 5.65814i) q^{87} +(9.61504 - 5.14515i) q^{88} +(3.67309 + 1.52144i) q^{89} +(-3.98247 + 5.35927i) q^{90} +(-0.0192145 - 0.0287566i) q^{91} +(-10.8173 - 9.48054i) q^{92} +(6.83716 - 7.66040i) q^{93} +(12.4376 + 7.73150i) q^{94} -7.93082i q^{95} +(-8.95645 + 3.97267i) q^{96} -14.6774i q^{97} +(-5.08149 + 8.17455i) q^{98} +(11.5269 + 0.957801i) 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
$3$	−1.15334	+	1.29221i	−0.665881	+	0.746058i
$3$	−1.15334	+	1.29221i	−0.665881	+	0.746058i
$4$	−1.79347	+	0.885139i	−0.896734	+	0.442569i
$5$	−1.30855	+	0.874343i	−0.585200	+	0.391018i	−0.812633	−	0.582776i	$-0.801967\pi$
$5$	−1.30855	+	0.874343i	−0.585200	+	0.391018i	0.227433	+	0.973794i	$0.426967\pi$
$6$	−2.15028	−	1.17315i	−0.877849	−	0.478937i
$7$	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
$9$	−0.339613	−	2.98072i	−0.113204	−	0.993572i
$10$	−1.62466	−	1.52119i	−0.513764	−	0.481041i
$11$	−0.752179	+	3.78146i	−0.226791	+	1.14015i	0.684698	+	0.728827i	$0.259934\pi$
$11$	−0.752179	+	3.78146i	−0.226791	+	1.14015i	−0.911488	+	0.411326i	$0.865066\pi$
$12$	0.924694	−	3.33840i	0.266936	−	0.963714i
$13$	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
$15$	0.379365	−	2.69933i	0.0979516	−	0.696965i
$16$	2.43306	−	3.17494i	0.608265	−	0.793734i
$17$	−1.55016	−	1.55016i	−0.375970	−	0.375970i	0.493676	−	0.869646i	$-0.335653\pi$
$17$	−1.55016	−	1.55016i	−0.375970	−	0.375970i	−0.869646	+	0.493676i	$0.835653\pi$
$18$	3.99597	−	1.42557i	0.941858	−	0.336011i
$19$	−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
$21$	0.331388	+	0.687037i	0.0723147	+	0.149924i
$22$	−5.44961	+	0.179256i	−1.16186	+	0.0382175i
$23$	2.75223	+	6.64447i	0.573879	+	1.38547i	0.898228	+	0.439530i	$0.144855\pi$
$23$	2.75223	+	6.64447i	0.573879	+	1.38547i	−0.324349	+	0.945938i	$0.605145\pi$
$24$	4.89487	+	0.200711i	0.999160	+	0.0409701i
$25$	−0.965598	+	2.33116i	−0.193120	+	0.466232i
$26$	0.103950	+	0.0391053i	0.0203862	+	0.00766919i
$27$	4.24340	+	2.99893i	0.816642	+	0.577144i
$28$	0.0578812	+	0.878881i	0.0109385	+	0.166093i
$29$	3.71849	−	0.739653i	0.690505	−	0.137350i	0.162649	−	0.986684i	$-0.447996\pi$
$29$	3.71849	−	0.739653i	0.690505	−	0.137350i	0.527856	+	0.849334i	$0.322996\pi$
$30$	3.83948	−	0.344961i	0.700990	−	0.0629810i
$31$	−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
$36$	3.24743	+	5.04521i	0.541239	+	0.840869i
$37$	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
$39$	0.0340574	+	0.131690i	0.00545355	+	0.0210873i
$40$	4.26024	+	1.29015i	0.673604	+	0.203990i
$41$	1.33020	−	0.550986i	0.207742	−	0.0860496i	−0.276386	−	0.961047i	$-0.589137\pi$
$41$	1.33020	−	0.550986i	0.207742	−	0.0860496i	0.484128	+	0.874997i	$0.339137\pi$
$42$	−0.839709	+	0.677173i	−0.129570	+	0.104490i
$43$	−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
$45$	3.05057	+	3.60347i	0.454752	+	0.537173i
$46$	−8.26646	+	5.92562i	−1.21882	+	0.873685i
$47$	7.32240	−	7.32240i	1.06808	−	1.06808i	0.0705750	−	0.997506i	$-0.477517\pi$
$47$	7.32240	−	7.32240i	1.06808	−	1.06808i	0.997506	−	0.0705750i	$-0.0224834\pi$
$48$	1.29654	+	6.80581i	0.187140	+	0.982333i
$49$	4.81261	+	4.81261i	0.687515	+	0.687515i
$50$	−3.52081	−	0.580723i	−0.497918	−	0.0821266i
$51$	3.79101	−	0.215271i	0.530847	−	0.0301439i
$52$	−0.0204524	+	0.155728i	−0.00283624	+	0.0215956i
$53$	−7.18480	−	1.42914i	−0.986908	−	0.196308i	−0.324854	−	0.945764i	$-0.605315\pi$
$53$	−7.18480	−	1.42914i	−0.986908	−	0.196308i	−0.662054	+	0.749456i	$0.730315\pi$
$54$	−2.76657	+	6.80780i	−0.376482	+	0.926424i
$55$	−2.32203	−	5.60588i	−0.313103	−	0.755897i
$56$	−1.19181	+	0.362144i	−0.159263	+	0.0483935i
$57$	−2.18543	−	8.45040i	−0.289467	−	1.11928i
$58$	2.21360	+	4.88348i	0.290660	+	0.641233i
$59$	2.48021	+	3.71190i	0.322896	+	0.483248i	0.957035	−	0.289971i	$-0.0936456\pi$
$59$	2.48021	+	3.71190i	0.322896	+	0.483248i	−0.634140	+	0.773218i	$0.718646\pi$
$60$	1.70890	+	5.17696i	0.220619	+	0.668342i
$61$	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
$66$	6.05362	−	7.24879i	0.745149	−	0.892264i
$67$	−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
$69$	−11.7603	−	4.10688i	−1.41577	−	0.494410i
$70$	−0.892731	+	0.404660i	−0.106702	+	0.0483661i
$71$	9.65353	+	3.99862i	1.14566	+	0.474549i	0.873077	−	0.487582i	$-0.162121\pi$
$71$	9.65353	+	3.99862i	1.14566	+	0.474549i	0.272586	+	0.962131i	$0.412121\pi$
$72$	−5.90481	+	6.09371i	−0.695888	+	0.718150i
$73$	−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
$75$	−1.89868	−	3.93638i	−0.219241	−	0.454534i
$76$	1.31241	−	9.99290i	0.150544	−	1.14626i
$77$	1.41180	+	0.943332i	0.160889	+	0.107503i
$78$	−0.170422	+	0.0892231i	−0.0192965	+	0.0101025i
$79$	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
$81$	−8.76933	+	2.02458i	−0.974370	+	0.224953i
$82$	1.18629	+	1.65492i	0.131004	+	0.182755i
$83$	−4.53596	−	3.03083i	−0.497886	−	0.332677i	0.281142	−	0.959666i	$-0.409287\pi$
$83$	−4.53596	−	3.03083i	−0.497886	−	0.332677i	−0.779028	+	0.626989i	$0.784287\pi$
$84$	−1.20246	−	0.938855i	−0.131199	−	0.102437i
$85$	3.38384	+	0.673087i	0.367029	+	0.0730066i
$86$	−12.2997	+	0.404578i	−1.32631	+	0.0436268i
$87$	−3.33289	+	5.65814i	−0.357324	+	0.606616i
$88$	9.61504	−	5.14515i	1.02497	−	0.548475i
$89$	3.67309	+	1.52144i	0.389346	+	0.161273i	0.568765	−	0.822500i	$-0.307422\pi$
$89$	3.67309	+	1.52144i	0.389346	+	0.161273i	−0.179418	+	0.983773i	$0.557422\pi$
$90$	−3.98247	+	5.35927i	−0.419789	+	0.564917i
$91$	−0.0192145	−	0.0287566i	−0.00201423	−	0.00301451i
$92$	−10.8173	−	9.48054i	−1.12778	−	0.988415i
$93$	6.83716	−	7.66040i	0.708980	−	0.794346i
$94$	12.4376	+	7.73150i	1.28284	+	0.797443i
$95$		−	7.93082i		−	0.813685i
$96$	−8.95645	+	3.97267i	−0.914113	+	0.405459i
$97$		−	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
$99$	11.5269	+	0.957801i	1.15850	+	0.0962626i
$100$	−0.331630	−	5.03555i	−0.0331630	−	0.503555i
$101$	6.92470	+	10.3635i	0.689034	+	1.03121i	0.996815	+	0.0797544i	$0.0254136\pi$
$101$	6.92470	+	10.3635i	0.689034	+	1.03121i	−0.307781	+	0.951457i	$0.599586\pi$
$102$	1.51471	+	5.15187i	0.149979	+	0.510111i
$103$	−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
$105$	−1.03434	−	0.609273i	−0.100941	−	0.0594590i
$106$	−0.340587	−	10.3543i	−0.0330807	−	1.00570i
$107$	−11.2155	−	2.23090i	−1.08424	−	0.215669i	−0.379543	−	0.925174i	$-0.623919\pi$
$107$	−11.2155	−	2.23090i	−1.08424	−	0.215669i	−0.704701	+	0.709505i	$0.748919\pi$
$108$	−10.2649	−	1.62249i	−0.987737	−	0.156124i
$109$	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
$111$	−0.757304	+	5.38851i	−0.0718801	+	0.511455i
$112$	−0.881740	−	1.52501i	−0.0833166	−	0.144100i
$113$	0.888803	−	0.888803i	0.0836116	−	0.0836116i	−0.664064	−	0.747676i	$-0.731170\pi$
$113$	0.888803	−	0.888803i	0.0836116	−	0.0836116i	0.747676	+	0.664064i	$0.231170\pi$
$114$	10.9358	−	5.72535i	1.02423	−	0.536228i
$115$	−9.41097	−	6.28821i	−0.877577	−	0.586378i
$116$	−6.01429	+	4.61792i	−0.558413	+	0.428763i
$117$	−0.209451	−	0.107874i	−0.0193637	−	0.00997296i
$118$	−4.31508	+	4.60861i	−0.397235	+	0.424257i
$119$	−0.891966	+	0.369464i	−0.0817664	+	0.0338687i
$120$	−6.58065	+	4.01715i	−0.600729	+	0.366714i
$121$	−3.57099	−	1.47915i	−0.324635	−	0.134468i
$122$	5.92624	+	13.0740i	0.536536	+	1.18367i
$123$	−0.822181	+	2.35437i	−0.0741336	+	0.212286i
$124$	10.6319	−	5.24722i	0.954775	−	0.471215i
$125$	−2.30985	−	11.6124i	−0.206599	−	1.03864i
$126$	0.0934212	−	1.86609i	0.00832262	−	0.166245i
$127$			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	−0.853961	−	0.520337i	$-0.825806\pi$
$131$	−16.5250	+	3.28702i	−1.44379	+	0.287188i	−0.589833	+	0.807525i	$0.700806\pi$
$132$	11.9285	+	6.00777i	1.03824	+	0.522909i
$133$	1.23297	+	1.84528i	0.106912	+	0.160006i
$134$	14.0294	−	6.35930i	1.21196	−	0.549360i
$135$	−8.17478	−	0.214052i	−0.703573	−	0.0184227i
$136$	−0.604873	+	6.17109i	−0.0518674	+	0.529166i
$137$	8.86197	+	21.3947i	0.757129	+	1.82787i	0.513752	+	0.857939i	$0.328255\pi$
$137$	8.86197	+	21.3947i	0.757129	+	1.82787i	0.243377	+	0.969932i	$0.421745\pi$
$138$	1.87690	−	17.5163i	0.159772	−	1.49108i
$139$	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
$141$	1.01686	+	17.9073i	0.0856349	+	1.50807i
$142$	−2.40482	+	14.5800i	−0.201808	+	1.22353i
$143$	0.214102	+	0.214102i	0.0179041	+	0.0179041i
$144$	−10.2899	−	6.17401i	−0.857490	−	0.514500i
$145$	−4.21910	+	4.21910i	−0.350377	+	0.350377i
$146$	−9.64644	−	13.4571i	−0.798345	−	1.11372i
$147$	−11.7695	+	0.668325i	−0.970730	+	0.0551225i
$148$	−3.13993	+	5.44245i	−0.258101	+	0.447367i
$149$	0.258843	−	1.30129i	0.0212053	−	0.106606i	−0.968733	−	0.248105i	$-0.920192\pi$
$149$	0.258843	−	1.30129i	0.0212053	−	0.106606i	0.989938	+	0.141499i	$0.0451922\pi$
$150$	4.81111	−	3.87986i	0.392826	−	0.316789i
$151$	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
$153$	−4.09414	+	5.14705i	−0.330992	+	0.416115i
$154$	−0.845495	+	2.24749i	−0.0681319	+	0.181108i
$155$	7.75724	−	5.18322i	0.623077	−	0.416327i
$156$	−0.177645	−	0.206036i	−0.0142230	−	0.0164961i
$157$	−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
$162$	−5.60631	−	11.4267i	−0.440473	−	0.897766i
$163$	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
$165$	9.92206	+	3.46493i	0.772432	+	0.269745i
$166$	2.71649	−	7.22097i	0.210841	−	0.560456i
$167$	2.08059	−	5.02298i	0.161001	−	0.388690i	−0.822707	−	0.568466i	$-0.807537\pi$
$167$	2.08059	−	5.02298i	0.161001	−	0.388690i	0.983708	+	0.179776i	$0.0575372\pi$
$168$	0.906600	−	1.95775i	0.0699457	−	0.151043i
$169$	4.97252	+	12.0047i	0.382502	+	0.923441i
$170$	0.160407	+	4.87659i	0.0123027	+	0.374017i
$171$	13.4402	+	6.92216i	1.02780	+	0.529351i
$172$	−4.50971	−	16.8094i	−0.343862	−	1.28170i
$173$	3.92400	−	5.87268i	0.298336	−	0.446492i	−0.651771	−	0.758416i	$-0.725974\pi$
$173$	3.92400	−	5.87268i	0.298336	−	0.446492i	0.950107	+	0.311924i	$0.100974\pi$
$174$	−8.86352	−	2.77188i	−0.671942	−	0.210136i
$175$	0.785745	+	0.785745i	0.0593968	+	0.0593968i
$176$	10.1758	+	11.5886i	0.767030	+	0.873526i
$177$	−7.65707	−	1.07613i	−0.575541	−	0.0808867i
$178$	−0.915015	+	5.54756i	−0.0685832	+	0.415807i
$179$	−7.16269	+	10.7197i	−0.535365	+	0.801230i	−0.996276	−	0.0862160i	$-0.972522\pi$
$179$	−7.16269	+	10.7197i	−0.535365	+	0.801230i	0.460912	+	0.887446i	$0.347522\pi$
$180$	−8.66066	−	3.76253i	−0.645528	−	0.280442i
$181$	−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
$183$	−8.92281	+	15.1479i	−0.659593	+	1.11977i
$184$	9.58064	−	17.9444i	0.706294	−	1.32288i
$185$	−1.89207	+	4.56787i	−0.139108	+	0.335837i
$186$	12.7472	+	6.95460i	0.934668	+	0.509936i
$187$	7.02789	−	4.69588i	0.513930	−	0.343397i
$188$	−6.65115	+	19.6138i	−0.485085	+	1.43049i
$189$	1.93532	−	1.22110i	0.140774	−	0.0888218i
$190$	10.9225	−	2.54857i	0.792400	−	0.184893i
$191$	−6.46052			−0.467467			−0.233733	−	0.972301i	$-0.575094\pi$
$191$	−6.46052			−0.467467			−0.233733	+	0.972301i	$0.575094\pi$
$192$	−8.34939	−	11.0584i	−0.602565	−	0.798070i
$193$	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
$195$	−0.159708	−	0.142545i	−0.0114369	−	0.0102078i
$196$	−12.8911	−	4.37143i	−0.920792	−	0.312245i
$197$	0.162447	−	0.108544i	0.0115739	−	0.00773342i	−0.549770	−	0.835316i	$-0.685285\pi$
$197$	0.162447	−	0.108544i	0.0115739	−	0.00773342i	0.561344	+	0.827583i	$0.310285\pi$
$198$	2.38507	+	16.1829i	0.169499	+	1.15007i
$199$	−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
$201$	16.2549	+	9.57484i	1.14653	+	0.675357i
$202$	−12.0476	+	12.8672i	−0.847668	+	0.905330i
$203$	0.325738	−	1.63759i	0.0228623	−	0.114937i
$204$	−6.60850	+	3.74165i	−0.462688	+	0.261968i
$205$	−1.25888	+	1.88404i	−0.0879237	+	0.131587i
$206$	3.23021	−	19.5842i	0.225059	−	1.36449i
$207$	18.8706	−	10.4602i	1.31160	−	0.727031i
$208$	−0.101160	−	0.297397i	−0.00701420	−	0.0206208i
$209$	−13.7387	−	13.7387i	−0.950326	−	0.950326i
$210$	0.506718	−	1.62031i	0.0349668	−	0.111812i
$211$	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
$213$	−16.3009	+	7.86261i	−1.11692	+	0.538737i
$214$	−0.531658	−	16.1631i	−0.0363434	−	1.10489i
$215$	−5.24080	−	12.6524i	−0.357420	−	0.862887i
$216$	−1.06409	−	14.6584i	−0.0724024	−	0.997375i
$217$	−0.999075	+	2.41198i	−0.0678216	+	0.163736i
$218$	−4.48264	+	11.9157i	−0.303603	+	0.807036i
$219$	6.68567	−	19.1448i	0.451775	−	1.29369i
$220$	9.12647	+	7.99865i	0.615307	+	0.539269i
$221$	−0.168856	+	0.0335876i	−0.0113585	+	0.00225935i
$222$	−7.66453	+	0.688625i	−0.514409	+	0.0462175i
$223$	−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	0.967763	−	0.251864i	$-0.0810437\pi$
$227$	−0.342277	−	1.72074i	−0.0227177	−	0.114210i	−0.990480	+	0.137654i	$0.956044\pi$
$228$	11.3993	+	13.2211i	0.754935	+	0.875590i
$229$	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
$231$	−2.84726	+	0.736354i	−0.187336	+	0.0484485i
$232$	−8.29258	−	6.79903i	−0.544435	−	0.446378i
$233$	2.16362	−	0.896200i	0.141743	−	0.0587120i	−0.310684	−	0.950513i	$-0.600558\pi$
$233$	2.16362	−	0.896200i	0.141743	−	0.0587120i	0.452427	+	0.891801i	$0.350558\pi$
$234$	0.0812593	−	0.323125i	0.00531208	−	0.0211234i
$235$	−3.17941	+	15.9840i	−0.207402	+	1.04268i
$236$	−7.73372	−	4.46184i	−0.503422	−	0.290441i
$237$	1.33387	+	23.4900i	0.0866443	+	1.52584i
$238$	−0.795467	−	1.10971i	−0.0515625	−	0.0719315i
$239$	5.35116	−	5.35116i	0.346138	−	0.346138i	−0.512531	−	0.858669i	$-0.671292\pi$
$239$	5.35116	−	5.35116i	0.346138	−	0.346138i	0.858669	+	0.512531i	$0.171292\pi$
$240$	−7.64719	−	7.77209i	−0.493624	−	0.501686i
$241$	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
$243$	7.49784	−	13.6668i	0.480987	−	0.876728i
$244$	−16.1014	+	12.3631i	−1.03079	+	0.791465i
$245$	−10.5054	−	2.08965i	−0.671165	−	0.133503i
$246$	−3.50669	−	0.375748i	−0.223579	−	0.0239568i
$247$	0.151449	+	0.365629i	0.00963645	+	0.0232644i
$248$	10.6431	+	12.9563i	0.675841	+	0.822726i
$249$	9.14797	−	2.36583i	0.579729	−	0.149928i
$250$	15.2505	−	6.91280i	0.964528	−	0.437204i
$251$	−2.26152	−	3.38461i	−0.142746	−	0.213634i	0.753207	−	0.657784i	$-0.228506\pi$
$251$	−2.26152	−	3.38461i	−0.142746	−	0.213634i	−0.895953	+	0.444149i	$0.853506\pi$
$252$	2.60004	−	0.471007i	0.163787	−	0.0296706i
$253$	−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	$0.143266\pi$
$257$			13.9485i			0.870082i	−0.900411	+	0.435041i	$0.856734\pi$
$258$	13.6630	−	16.3604i	0.850619	−	1.01856i
$259$	−0.269918	−	1.35697i	−0.0167719	−	0.0843179i
$260$	−0.109397	−	0.221660i	−0.00678451	−	0.0137468i
$261$	−3.46754	−	10.8326i	−0.214635	−	0.670518i
$262$	−9.83725	−	21.7022i	−0.607747	−	1.34077i
$263$	7.07196	+	2.92930i	0.436076	+	0.180629i	0.589911	−	0.807468i	$-0.299163\pi$
$263$	7.07196	+	2.92930i	0.436076	+	0.180629i	−0.153836	+	0.988096i	$0.549163\pi$
$264$	−4.44080	+	18.3588i	−0.273312	+	1.12990i
$265$	10.6512	−	4.41187i	0.654298	−	0.271019i
$266$	−2.14514	+	2.29106i	−0.131527	+	0.140474i
$267$	−6.20234	+	2.99166i	−0.379577	+	0.183087i
$268$	13.2665	+	17.2780i	0.810381	+	1.05542i
$269$	−26.4574	−	17.6782i	−1.61313	−	1.07786i	−0.941518	−	0.336963i	$-0.890600\pi$
$269$	−26.4574	−	17.6782i	−1.61313	−	1.07786i	−0.671616	−	0.740899i	$-0.734400\pi$
$270$	−2.33217	−	11.3273i	−0.141931	−	0.689355i
$271$	−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
$273$	0.0593204	+	0.00833691i	0.00359024	+	0.000504573i
$274$	−26.6174	+	19.0801i	−1.60801	+	1.15267i
$275$	−8.08888	−	5.40482i	−0.487778	−	0.325923i
$276$	24.7269	−	3.04395i	1.48838	−	0.183224i
$277$	−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
$279$	2.01327	+	17.6701i	0.120531	+	1.05788i
$280$	1.24291	−	1.51594i	0.0742778	−	0.0905945i
$281$	2.71096	+	1.12292i	0.161722	+	0.0669876i	0.462076	−	0.886840i	$-0.347105\pi$
$281$	2.71096	+	1.12292i	0.161722	+	0.0669876i	−0.300354	+	0.953828i	$0.597105\pi$
$282$	−24.3355	+	7.15494i	−1.44916	+	0.426071i
$283$	−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
$285$	10.2483	+	9.14693i	0.607056	+	0.541818i
$286$	−0.226064	+	0.363668i	−0.0133675	+	0.0215041i
$287$		−	0.634076i		−	0.0374283i
$288$	5.19631	−	16.1554i	0.306196	−	0.951969i
$289$		−	12.1940i		−	0.717293i
$290$	−7.16644	−	4.45482i	−0.420828	−	0.261596i
$291$	18.9662	+	16.9280i	1.11182	+	0.992337i
$292$	15.4336	−	17.6097i	0.903181	−	1.03053i
$293$	−6.88222	−	10.3000i	−0.402064	−	0.601731i	0.574095	−	0.818789i	$-0.305354\pi$
$293$	−6.88222	−	10.3000i	−0.402064	−	0.601731i	−0.976159	+	0.217058i	$0.930354\pi$
$294$	−4.70255	−	15.9944i	−0.274258	−	0.932811i
$295$	−6.49094	−	2.68864i	−0.377917	−	0.156538i
$296$	−8.50447	−	2.57544i	−0.494312	−	0.149695i
$297$	−14.5321	+	13.7905i	−0.843239	+	0.800206i
$298$	1.87535	−	0.0616864i	0.108636	−	0.00357339i
$299$	0.553949	+	0.110187i	0.0320357	+	0.00637229i
$300$	6.88947	+	5.37917i	0.397764	+	0.310566i
$301$	3.18641	+	2.12909i	0.183662	+	0.122719i
$302$	9.13404	+	12.7423i	0.525605	+	0.733238i
$303$	−21.3784	−	3.00453i	−1.22816	−	0.172606i
$304$	6.49134	+	19.0836i	0.372304	+	1.09452i
$305$	−11.2954	+	11.2954i	−0.646771	+	0.646771i
$306$	−8.40428	−	3.98453i	−0.480441	−	0.227780i
$307$	−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
$309$	21.8957	−	10.5612i	1.24560	−	0.600808i
$310$	9.63123	+	9.01780i	0.547017	+	0.512177i
$311$	−25.2986	+	10.4790i	−1.43455	+	0.594211i	−0.958471	−	0.285191i	$-0.907943\pi$
$311$	−25.2986	+	10.4790i	−1.43455	+	0.594211i	−0.476081	+	0.879402i	$0.657943\pi$
$312$	0.226671	−	0.310866i	0.0128327	−	0.0175993i
$313$	−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
$315$	1.98026	−	0.633887i	0.111575	−	0.0357155i
$316$	−8.72470	+	25.7286i	−0.490803	+	1.44735i
$317$	1.65046	+	8.29744i	0.0926992	+	0.466031i	0.999053	+	0.0435108i	$0.0138543\pi$
$317$	1.65046	+	8.29744i	0.0926992	+	0.466031i	−0.906354	+	0.422520i	$0.861146\pi$
$318$	13.7727	+	11.5019i	0.772337	+	0.644996i
$319$			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
$324$	13.9355	−	11.3931i	0.774193	−	0.632949i
$325$	0.110090	+	0.164761i	0.00610667	+	0.00913928i
$326$	5.18737	+	11.4440i	0.287302	+	0.633825i
$327$	−15.0956	+	3.90400i	−0.834789	+	0.215892i
$328$	−3.59240	−	1.91801i	−0.198357	−	0.105904i
$329$	−1.74521	−	4.21331i	−0.0962166	−	0.232287i
$330$	−1.58352	+	14.7783i	−0.0871700	+	0.813520i
$331$	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
$333$	−6.08966	−	7.19338i	−0.333711	−	0.394195i
$334$	7.58635	+	1.25129i	0.415107	+	0.0684676i
$335$	12.1208	+	12.1208i	0.662228	+	0.662228i
$336$	2.98758	+	0.619466i	0.162986	+	0.0337946i
$337$	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
$339$	0.123428	+	2.17361i	0.00670367	+	0.118054i
$340$	−6.66458	+	1.78801i	−0.361438	+	0.0969682i
$341$	4.45902	−	22.4170i	0.241469	−	1.21395i
$342$	−5.21431	+	20.7346i	−0.281958	+	1.12120i
$343$	5.61727	−	2.32675i	0.303304	−	0.125633i
$344$	21.7010	−	11.6126i	1.17004	−	0.626107i
$345$	18.9797	−	4.90850i	1.02183	−	0.264265i
$346$	9.34895	+	3.51703i	0.502603	+	0.189076i
$347$	25.1014	−	16.7722i	1.34751	−	0.900379i	0.348198	−	0.937421i	$-0.386794\pi$
$347$	25.1014	−	16.7722i	1.34751	−	0.900379i	0.999314	+	0.0370425i	$0.0117937\pi$
$348$	0.969203	−	13.0978i	0.0519547	−	0.702114i
$349$	−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	$-0.179053\pi$
$353$	31.7867			1.69184			0.845918	+	0.533313i	$0.179053\pi$
$354$	−0.978535	−	10.8913i	−0.0520086	−	0.578865i
$355$	−16.1283	+	3.20811i	−0.855999	+	0.170269i
$356$	−7.93425	+	0.522533i	−0.420515	+	0.0276942i
$357$	0.551315	−	1.57873i	0.0291787	−	0.0835550i
$358$	−17.0652	−	6.41982i	−0.901921	−	0.339298i
$359$	4.61584	−	11.1436i	0.243615	−	0.588138i	−0.754022	−	0.656849i	$-0.771889\pi$
$359$	4.61584	−	11.1436i	0.243615	−	0.588138i	0.997637	+	0.0687112i	$0.0218887\pi$
$360$	2.39873	−	13.1367i	0.126424	−	0.692366i
$361$	−2.44731	−	5.90832i	−0.128806	−	0.310964i
$362$	−25.9886	+	0.854851i	−1.36593	+	0.0449300i
$363$	6.02994	−	2.90850i	0.316490	−	0.152657i
$364$	0.0599142	+	0.0345665i	0.00314036	+	0.00181178i
$365$	10.2367	−	15.3203i	0.535813	−	0.801901i
$366$	−23.7294	−	7.42088i	−1.24035	−	0.387895i
$367$	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
$369$	−2.09408	−	3.77782i	−0.109014	−	0.196665i
$370$	−6.89898	−	1.13792i	−0.358661	−	0.0591575i
$371$	−1.79234	+	2.68242i	−0.0930535	+	0.139264i
$372$	−5.48171	+	19.7905i	−0.284214	+	1.02609i
$373$	−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
$375$	17.6697	+	10.4082i	0.912458	+	0.537478i
$376$	−29.1499	−	2.85719i	−1.50329	−	0.147349i
$377$	0.113942	−	0.275080i	0.00586829	−	0.0141673i
$378$	2.30363	+	2.27296i	0.118486	+	0.116908i
$379$	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
$381$	−14.4857	−	12.9290i	−0.742124	−	0.662371i
$382$	−2.07609	−	8.89755i	−0.106222	−	0.455238i
$383$	−11.9755			−0.611921			−0.305960	−	0.952044i	$-0.598977\pi$
$383$	−11.9755			−0.611921			−0.305960	+	0.952044i	$0.598977\pi$
$384$	12.5467	−	15.0526i	0.640273	−	0.768147i
$385$	−2.67220			−0.136188
$386$	4.89723	+	20.9882i	0.249263	+	1.06827i
$387$	26.0161	+	2.16175i	1.32247	+	0.109888i
$388$	12.9915	+	26.3234i	0.659544	+	1.33637i
$389$	15.2422	−	10.1845i	0.772812	−	0.516377i	−0.105526	−	0.994417i	$-0.533653\pi$
$389$	15.2422	−	10.1845i	0.772812	−	0.516377i	0.878338	+	0.478040i	$0.158653\pi$
$390$	0.144993	−	0.265760i	0.00734202	−	0.0134573i
$391$	6.03361	−	14.5664i	0.305133	−	0.736656i
$392$	1.87788	−	19.1586i	0.0948471	−	0.967656i
$393$	14.8114	−	25.1448i	0.747136	−	1.26839i
$394$	0.201691	+	0.188845i	0.0101610	+	0.00951387i
$395$	−4.17062	+	20.9671i	−0.209847	+	1.05497i
$396$	−21.5209	+	8.48512i	−1.08147	+	0.426394i
$397$	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
$399$	−3.80652	−	0.534970i	−0.190565	−	0.0267820i
$400$	5.05193	+	8.73756i	0.252596	+	0.436878i
$401$	−0.241562	−	0.241562i	−0.0120631	−	0.0120631i	0.701050	−	0.713113i	$-0.252715\pi$
$401$	−0.241562	−	0.241562i	−0.0120631	−	0.0120631i	−0.713113	+	0.701050i	$0.752715\pi$
$402$	−7.96315	+	25.4634i	−0.397166	+	1.27000i
$403$	−0.258647	+	0.387093i	−0.0128841	+	0.0192825i
$404$	−21.5924	−	12.4574i	−1.07426	−	0.619778i
$405$	9.70490	−	10.3167i	0.482240	−	0.512639i
$406$	2.36000	−	0.0776283i	0.117125	−	0.00385263i
$407$	4.63533	+	11.1907i	0.229765	+	0.554701i
$408$	−7.27671	−	7.89898i	−0.360251	−	0.391058i
$409$	−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
$411$	−37.8673	−	13.2238i	−1.86785	−	0.652283i
$412$	28.0097	−	1.84466i	1.37994	−	0.0908799i
$413$	1.92825	−	0.383553i	0.0948830	−	0.0188734i
$414$	20.4700	+	22.6276i	1.00605	+	1.11208i
$415$	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	0.987962	−	0.154699i	$-0.0494408\pi$
$419$	0.327580	+	1.64686i	0.0160034	+	0.0804543i	−0.971958	+	0.235153i	$0.924441\pi$
$420$	2.39435	+	0.177176i	0.116832	+	0.00864531i
$421$	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
$423$	−24.3128	−	19.3392i	−1.18213	−	0.940304i
$424$	9.77582	+	18.2686i	0.474756	+	0.887204i
$425$	5.11052	−	2.11685i	0.247896	−	0.102682i
$426$	−16.0668	−	19.9232i	−0.778440	−	0.965283i
$427$	0.872064	−	4.38416i	0.0422021	−	0.212164i
$428$	22.0893	−	5.92622i	1.06773	−	0.286455i
$429$	−0.523598	+	0.0297323i	−0.0252795	+	0.00143549i
$430$	15.7410	−	11.2836i	0.759099	−	0.544143i
$431$	10.1219	−	10.1219i	0.487556	−	0.487556i	−0.419978	−	0.907534i	$-0.637962\pi$
$431$	10.1219	−	10.1219i	0.487556	−	0.487556i	0.907534	+	0.419978i	$0.137962\pi$
$432$	19.8458	−	6.17596i	0.954834	−	0.297141i
$433$	−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
$435$	−0.585905	−	10.3180i	−0.0280920	−	0.494712i
$436$	−17.8511	−	2.34446i	−0.854913	−	0.112279i
$437$	−35.5463	−	7.07059i	−1.70041	−	0.338232i
$438$	28.5151	+	3.05544i	1.36250	+	0.145995i
$439$	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
$441$	12.7106	−	15.9794i	0.605266	−	0.760925i
$442$	−0.100520	−	0.221759i	−0.00478123	−	0.0105480i
$443$	17.6077	+	26.3518i	0.836567	+	1.25201i	0.965512	+	0.260360i	$0.0838412\pi$
$443$	17.6077	+	26.3518i	0.836567	+	1.25201i	−0.128944	+	0.991652i	$0.541159\pi$
$444$	−3.41138	−	10.3344i	−0.161897	−	0.490451i
$445$	−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	$0.184151\pi$
$449$			23.1726i			1.09358i	−0.837269	+	0.546792i	$0.815849\pi$
$450$	−0.535256	+	10.6918i	−0.0252322	+	0.504015i
$451$	1.08298	+	5.44453i	0.0509957	+	0.256373i
$452$	−0.807326	+	2.38075i	−0.0379734	+	0.111981i
$453$	−6.33053	+	18.1279i	−0.297434	+	0.851723i
$454$	2.25985	−	1.02435i	0.106060	−	0.0480752i
$455$	0.0502862	+	0.0208292i	0.00235745	+	0.000976490i
$456$	−14.5452	+	19.9479i	−0.681143	+	0.934146i
$457$	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
$459$	−1.92913	−	11.2268i	−0.0900442	−	0.524022i
$460$	22.4442	+	2.94769i	1.04647	+	0.137437i
$461$	16.9045	+	11.2952i	0.787319	+	0.526070i	0.883017	−	0.469340i	$-0.155508\pi$
$461$	16.9045	+	11.2952i	0.787319	+	0.526070i	−0.0956980	+	0.995410i	$0.530508\pi$
$462$	−1.92909	−	3.68468i	−0.0897494	−	0.171427i
$463$	−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
$465$	−2.24893	+	16.0020i	−0.104292	+	0.742075i
$466$	1.92954	+	2.69178i	0.0893844	+	0.124695i
$467$	4.44598	+	2.97071i	0.205735	+	0.137468i	0.654170	−	0.756348i	$-0.273018\pi$
$467$	4.44598	+	2.97071i	0.205735	+	0.137468i	−0.448434	+	0.893816i	$0.648018\pi$
$468$	0.471127	+	0.00807558i	0.0217779	+	0.000373294i
$469$	−4.70453	−	0.935789i	−0.217235	−	0.0432107i
$470$	−23.0352	+	0.757703i	−1.06253	+	0.0349502i
$471$	7.54353	+	4.44348i	0.347588	+	0.204745i
$472$	3.65970	−	12.0848i	0.168451	−	0.556250i
$473$	−30.9967	−	12.8393i	−1.42523	−	0.590350i
$474$	−31.9223	+	9.38555i	−1.46624	+	0.431093i
$475$	−7.06433	−	10.5725i	−0.324134	−	0.485100i
$476$	1.27269	−	1.45214i	0.0583334	−	0.0665586i
$477$	−1.81983	+	21.9012i	−0.0833241	+	1.00279i
$478$	9.08932	+	5.65013i	0.415736	+	0.258431i
$479$			15.9720i			0.729781i	0.931051	+	0.364890i	$0.118894\pi$
$479$			15.9720i			0.729781i	−0.931051	+	0.364890i	$0.881106\pi$
$480$	8.24646	−	13.0294i	0.376397	−	0.594709i
$481$		−	0.246721i		−	0.0112495i
$482$	−14.3740	+	23.1234i	−0.654719	+	1.05324i
$483$	−3.65294	+	4.09278i	−0.166214	+	0.186228i
$484$	7.71371	−	0.508008i	0.350623	−	0.0230913i
$485$	12.8331	+	19.2060i	0.582719	+	0.872101i
$486$	21.2317	+	5.93434i	0.963088	+	0.269187i
$487$	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
$489$	−7.81034	+	13.2593i	−0.353196	+	0.599608i
$490$	−0.497996	−	15.1397i	−0.0224972	−	0.683944i
$491$	−35.9516	−	7.15122i	−1.62247	−	0.322730i	−0.701594	−	0.712576i	$-0.747528\pi$
$491$	−35.9516	−	7.15122i	−1.62247	−	0.322730i	−0.920880	+	0.389846i	$0.872528\pi$
$492$	−0.609387	−	4.95023i	−0.0274733	−	0.223174i
$493$	−6.91085	−	4.61768i	−0.311249	−	0.207970i
$494$	−0.454884	+	0.326073i	−0.0204662	+	0.0146707i
$495$	−15.9209	+	8.82514i	−0.715593	+	0.396661i
$496$	−14.4235	+	18.8215i	−0.647634	+	0.845108i
$497$	3.25384	−	3.25384i	0.145955	−	0.145955i
$498$	6.19797	+	11.8385i	0.277738	+	0.530496i
$499$	−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
$501$	4.09112	+	8.48177i	0.182778	+	0.378937i
$502$	3.93461	−	4.20226i	0.175610	−	0.187556i
$503$	28.2014	−	11.6814i	1.25744	−	0.520849i	0.348317	−	0.937377i	$-0.386753\pi$
$503$	28.2014	−	11.6814i	1.25744	−	0.520849i	0.909123	+	0.416528i	$0.136753\pi$
$504$	1.48420	+	3.42947i	0.0661116	+	0.152761i
$505$	−18.1226	−	7.50662i	−0.806445	−	0.334040i
$506$	−16.1896	−	35.7164i	−0.719717	−	1.58779i
$507$	−21.2477	−	7.42000i	−0.943641	−	0.329534i
$508$	−9.92242	−	20.1048i	−0.440236	−	0.892007i
$509$	2.34798	+	11.8041i	0.104072	+	0.523207i	0.997289	+	0.0735807i	$0.0234427\pi$
$509$	2.34798	+	11.8041i	0.104072	+	0.523207i	−0.893217	+	0.449626i	$0.851557\pi$
$510$	−6.48658	−	5.41708i	−0.287230	−	0.239872i
$511$			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
$516$	26.9225	+	13.5595i	1.18520	+	0.596922i
$517$	22.1816	+	33.1971i	0.975545	+	1.46001i
$518$	1.78211	−	0.807798i	0.0783012	−	0.0354926i
$519$	3.06303	+	11.8438i	0.134452	+	0.519887i
$520$	0.270120	−	0.221894i	0.0118455	−	0.00973070i
$521$	1.37107	+	3.31006i	0.0600678	+	0.145016i	0.951064	−	0.308995i	$-0.0999926\pi$
$521$	1.37107	+	3.31006i	0.0600678	+	0.145016i	−0.890996	+	0.454011i	$0.849993\pi$
$522$	13.8045	−	8.25660i	0.604207	−	0.361382i
$523$	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
$525$	−1.92158	+	0.109116i	−0.0838646	+	0.00476222i
$526$	−1.76172	+	10.6810i	−0.0768146	+	0.465713i
$527$	9.18959	+	9.18959i	0.400305	+	0.400305i
$528$	−26.7111	−	0.216367i	−1.16245	−	0.00941617i
$529$	−20.3107	+	20.3107i	−0.883076	+	0.883076i
$530$	9.49888	+	13.2513i	0.412605	+	0.575599i
$531$	10.2218	−	8.65340i	0.443588	−	0.375526i
$532$	−3.84463	−	2.21809i	−0.166686	−	0.0961665i
$533$	0.0220591	−	0.110898i	0.000955485	−	0.00480355i
$534$	−6.11329	−	7.58062i	−0.264548	−	0.328045i
$535$	16.6266	−	6.88696i	0.718830	−	0.297749i
$536$	−19.5325	+	23.8232i	−0.843674	+	1.02900i
$537$	−5.59112	−	21.6192i	−0.241274	−	0.932937i
$538$	15.8448	−	42.1185i	0.683116	−	1.81586i
$539$	−21.8186	+	14.5787i	−0.939795	+	0.627951i
$540$	14.8507	−	6.85192i	0.639071	−	0.294860i
$541$	−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
$546$	0.00758085	+	0.0843763i	0.000324430	+	0.00361097i
$547$	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
$549$	−9.28328	−	29.0009i	−0.396201	−	1.23773i
$550$	4.84426	−	12.8770i	0.206560	−	0.549077i
$551$	−7.31151	+	17.6515i	−0.311481	+	0.751981i
$552$	12.1382	+	33.0762i	0.516635	+	1.40782i
$553$	−2.28930	−	5.52685i	−0.0973507	−	0.235025i
$554$	−1.33092	−	40.4617i	−0.0565454	−	1.71905i
$555$	−3.72044	−	7.71327i	−0.157924	−	0.327410i
$556$	−15.9871	+	4.28909i	−0.678004	+	0.181898i
$557$	−14.4090	+	21.5645i	−0.610527	+	0.913719i	−0.999973	−	0.00733055i	$-0.997667\pi$
$557$	−14.4090	+	21.5645i	−0.610527	+	0.913719i	0.389446	+	0.921049i	$0.372667\pi$
$558$	−23.6886	+	8.45099i	−1.00282	+	0.357759i
$559$	0.483226	+	0.483226i	0.0204383	+	0.0204383i
$560$	2.48718	+	1.22461i	0.105103	+	0.0517491i
$561$	−2.03748	+	14.4975i	−0.0860224	+	0.612083i
$562$	−0.675336	+	4.09444i	−0.0284873	+	0.172713i
$563$	9.91814	−	14.8435i	0.418000	−	0.625581i	−0.561392	−	0.827550i	$-0.689734\pi$
$563$	9.91814	−	14.8435i	0.418000	−	0.625581i	0.979392	+	0.201969i	$0.0647341\pi$
$564$	−17.6741	−	31.2161i	−0.744216	−	1.31443i
$565$	−0.385922	+	1.94016i	−0.0162358	+	0.0816231i
$566$	5.72809	−	6.11774i	0.240770	−	0.257148i
$567$	−0.654164	+	3.90918i	−0.0274723	+	0.164170i
$568$	−8.59234	−	28.2773i	−0.360527	−	1.18649i
$569$	−2.48919	+	6.00945i	−0.104352	+	0.251929i	−0.967428	−	0.253145i	$-0.918535\pi$
$569$	−2.48919	+	6.00945i	−0.104352	+	0.251929i	0.863076	+	0.505074i	$0.168535\pi$
$570$	−9.30405	+	17.0535i	−0.389704	+	0.714293i
$571$	−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
$573$	7.45118	−	8.34835i	0.311277	−	0.348757i
$574$	0.873261	−	0.203760i	0.0364492	−	0.00850478i
$575$	−18.1469			−0.756777
$576$	23.9194	+	1.96491i	0.996643	+	0.0818713i
$577$	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
$579$	−17.5764	+	19.6927i	−0.730450	+	0.818401i
$580$	3.83234	−	11.3013i	0.159129	−	0.469262i
$581$	−1.99760	+	1.33476i	−0.0828745	+	0.0553750i
$582$	−17.2188	+	31.5605i	−0.713742	+	1.30822i
$583$	10.8085	−	26.0940i	0.447643	−	1.08070i
$584$	29.2120	+	15.5965i	1.20880	+	0.645389i
$585$	0.368395	−	0.0419737i	0.0152313	−	0.00173540i
$586$	11.9737	−	12.7882i	0.494630	−	0.528277i
$587$	2.51402	−	12.6388i	0.103765	−	0.521660i	−0.893585	−	0.448895i	$-0.851818\pi$
$587$	2.51402	−	12.6388i	0.103765	−	0.521660i	0.997349	−	0.0727648i	$-0.0231822\pi$
$588$	20.5166	−	11.6162i	0.846091	−	0.479046i
$589$	16.5971	−	24.8393i	0.683872	−	1.02349i
$590$	1.61698	−	9.80344i	0.0665700	−	0.403601i
$591$	−0.0470956	+	0.335104i	−0.00193725	+	0.0137843i
$592$	0.814040	−	12.5401i	0.0334568	−	0.515397i
$593$	−0.621807	−	0.621807i	−0.0255346	−	0.0255346i	0.694224	−	0.719759i	$-0.255748\pi$
$593$	−0.621807	−	0.621807i	−0.0255346	−	0.0255346i	−0.719759	+	0.694224i	$0.755748\pi$
$594$	−23.6625	−	15.5823i	−0.970882	−	0.639351i
$595$	0.844141	−	1.26335i	0.0346064	−	0.0517921i
$596$	0.687598	+	2.56294i	0.0281651	+	0.104982i
$597$	−1.74054	−	3.60851i	−0.0712355	−	0.147686i
$598$	0.0262593	+	0.798318i	0.00107382	+	0.0326456i
$599$	−15.6275	−	37.7280i	−0.638521	−	1.54153i	−0.828650	−	0.559767i	$-0.810891\pi$
$599$	−15.6275	−	37.7280i	−0.638521	−	1.54153i	0.190129	−	0.981759i	$-0.439109\pi$
$600$	−5.19436	+	11.2169i	−0.212059	+	0.457928i
$601$	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
$603$	−31.1201	+	9.96165i	−1.26731	+	0.405670i
$604$	−14.6138	+	16.6743i	−0.594625	+	0.678468i
$605$	5.96609	−	1.18673i	0.242556	−	0.0482474i
$606$	−2.73205	−	30.4083i	−0.110982	−	1.23525i
$607$	−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
$612$	2.78686	−	12.8550i	0.112652	−	0.519631i
$613$	−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
$615$	−0.982664	−	3.79967i	−0.0396248	−	0.153218i
$616$	−0.472975	−	4.77919i	−0.0190567	−	0.192559i
$617$	24.7265	−	10.2420i	0.995451	−	0.412329i	0.175324	−	0.984511i	$-0.443903\pi$
$617$	24.7265	−	10.2420i	0.995451	−	0.412329i	0.820127	+	0.572182i	$0.193903\pi$
$618$	21.5813	+	26.7613i	0.868128	+	1.07650i
$619$	−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
$621$	−8.24748	+	36.4489i	−0.330960	+	1.46264i
$622$	−22.5616	−	31.4743i	−0.904638	−	1.26200i
$623$	1.23806	−	1.23806i	0.0496018	−	0.0496018i
$624$	0.500971	+	0.212279i	0.0200549	+	0.00849797i
$625$	4.25478	+	4.25478i	0.170191	+	0.170191i
$626$	6.20659	−	37.6294i	0.248065	−	1.50397i
$627$	33.5987	−	1.90789i	1.34180	−	0.0761937i
$628$	6.15670	+	8.01837i	0.245679	+	0.319968i
$629$	−6.75495	−	1.34364i	−0.269338	−	0.0535746i
$630$	1.50936	+	2.52355i	0.0601343	+	0.100541i
$631$	−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
$633$	1.70073	+	6.57620i	0.0675978	+	0.261381i
$634$	−10.8970	+	4.93943i	−0.432776	+	0.196170i
$635$	−9.80140	−	14.6688i	−0.388957	−	0.582115i
$636$	−11.4148	+	22.6642i	−0.452626	+	0.898695i
$637$	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	$0.0849649\pi$
$641$			13.3561i			0.527533i	−0.964587	+	0.263767i	$0.915035\pi$
$642$	21.4993	+	17.9546i	0.848510	+	0.708610i
$643$	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
$645$	22.3940	+	7.82032i	0.881762	+	0.307925i
$646$	6.45022	+	14.2300i	0.253781	+	0.559873i
$647$	6.10577	+	2.52909i	0.240042	+	0.0994288i	0.499462	−	0.866336i	$-0.333531\pi$
$647$	6.10577	+	2.52909i	0.240042	+	0.0994288i	−0.259419	+	0.965765i	$0.583531\pi$
$648$	20.1689	+	15.5311i	0.792311	+	0.610117i
$649$	−15.9019	+	6.58680i	−0.624206	+	0.258555i
$650$	−0.191534	+	0.204563i	−0.00751260	+	0.00802364i
$651$	−1.96451	−	4.07285i	−0.0769952	−	0.159627i
$652$	−14.0940	+	10.8217i	−0.551962	+	0.423810i
$653$	12.1470	+	8.11635i	0.475348	+	0.317617i	0.770063	−	0.637968i	$-0.220225\pi$
$653$	12.1470	+	8.11635i	0.475348	+	0.317617i	−0.294715	+	0.955585i	$0.595225\pi$
$654$	−10.2276	−	19.5354i	−0.399932	−	0.763896i
$655$	18.7497	−	18.7497i	0.732612	−	0.732612i
$656$	1.48710	−	5.56388i	0.0580616	−	0.217233i
$657$	17.0283	+	30.7198i	0.664337	+	1.19849i
$658$	5.24183	−	3.75749i	0.204348	−	0.146482i
$659$	32.8618	+	21.9575i	1.28011	+	0.855344i	0.994676	−	0.103053i	$-0.0328613\pi$
$659$	32.8618	+	21.9575i	1.28011	+	0.855344i	0.285437	+	0.958397i	$0.407861\pi$
$660$	−20.8619	+	2.56815i	−0.812047	+	0.0999652i
$661$	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
$663$	0.151347	−	0.256936i	0.00587781	−	0.00997856i
$664$	1.51962	+	15.3551i	0.0589727	+	0.595892i
$665$	−3.22681	−	1.33659i	−0.125130	−	0.0518307i
$666$	7.94996	−	10.6984i	0.308055	−	0.414554i
$667$	15.1487	+	22.6717i	0.586561	+	0.877850i
$668$	0.714569	+	10.8502i	0.0276475	+	0.419806i
$669$	9.96507	−	11.1649i	0.385272	−	0.431661i
$670$	−12.7980	+	20.5880i	−0.494428	+	0.795383i
$671$			39.1343i			1.51076i
$672$	0.106919	+	4.31362i	0.00412450	+	0.166402i
$673$			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
$675$	−11.0884	+	6.99628i	−0.426793	+	0.269287i
$676$	−19.5439	−	17.1287i	−0.751689	−	0.658798i
$677$	9.37335	+	14.0282i	0.360247	+	0.539148i	0.966680	−	0.255987i	$-0.0824003\pi$
$677$	9.37335	+	14.0282i	0.360247	+	0.539148i	−0.606433	+	0.795134i	$0.707400\pi$
$678$	−2.95388	+	0.868477i	−0.113443	+	0.0333537i
$679$	−5.97178	−	2.47359i	−0.229176	−	0.0949278i
$680$	−4.60414	−	8.60402i	−0.176561	−	0.329949i
$681$	2.61832	+	1.54231i	0.100334	+	0.0591014i
$682$	32.3060	−	1.06265i	1.23706	−	0.0406911i
$683$	−26.3869	−	5.24869i	−1.00967	−	0.200835i	−0.337572	−	0.941300i	$-0.609606\pi$
$683$	−26.3869	−	5.24869i	−1.00967	−	0.200835i	−0.672096	+	0.740464i	$0.734606\pi$
$684$	−30.2317	−	0.518201i	−1.15594	−	0.0198139i
$685$	−30.3026	−	20.2475i	−1.15780	−	0.773619i
$686$	5.00955	+	6.98851i	0.191266	+	0.266823i
$687$	−1.47387	+	10.4872i	−0.0562318	+	0.400111i
$688$	22.9667	+	26.1554i	0.875596	+	0.997166i
$689$	−0.406796	+	0.406796i	−0.0154977	+	0.0154977i
$690$	12.8592	+	24.5619i	0.489542	+	0.935056i
$691$	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
$693$	2.33234	−	4.52853i	0.0885983	−	0.172025i
$694$	31.1653	+	29.1803i	1.18302	+	1.10767i
$695$	−12.0335	+	4.98442i	−0.456455	+	0.189070i
$696$	18.3499	−	2.87416i	0.695553	−	0.108945i
$697$	−2.91614	−	1.20791i	−0.110457	−	0.0457527i
$698$	32.9726	−	14.9459i	1.24803	−	0.565712i
$699$	−1.33731	+	3.82947i	−0.0505817	+	0.144844i
$700$	−2.10470	−	0.713716i	−0.0795503	−	0.0269759i
$701$	5.50494	+	27.6752i	0.207919	+	1.04528i	0.933892	+	0.357555i	$0.116389\pi$
$701$	5.50494	+	27.6752i	0.207919	+	1.04528i	−0.725974	+	0.687723i	$0.758611\pi$
$702$	0.323826	+	0.477677i	0.0122220	+	0.0180288i
$703$			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
$708$	14.6852	−	4.84757i	0.551905	−	0.182183i
$709$	−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
$711$	−31.8925	−	25.3684i	−1.19606	−	0.951388i
$712$	−3.26931	−	10.7593i	−0.122523	−	0.403222i
$713$	−16.3156	−	39.3893i	−0.611023	−	1.47514i
$714$	2.35142	+	0.251958i	0.0879996	+	0.00942930i
$715$	−0.467362	−	0.0929640i	−0.0174783	−	0.00347666i
$716$	3.35762	−	25.5655i	0.125480	−	0.955427i
$717$	0.743113	+	13.0865i	0.0277521	+	0.488725i
$718$	16.8305	+	2.77602i	0.628110	+	0.103600i
$719$	−13.4342	−	13.4342i	−0.501012	−	0.501012i	0.410740	−	0.911752i	$-0.365270\pi$
$719$	−13.4342	−	13.4342i	−0.501012	−	0.501012i	−0.911752	+	0.410740i	$0.865270\pi$
$720$	18.8630	−	0.917910i	0.702982	−	0.0342085i
$721$	−4.37063	+	4.37063i	−0.162771	+	0.162771i
$722$	7.35061	−	5.26912i	0.273561	−	0.196096i
$723$	−33.2923	+	1.89049i	−1.23816	+	0.0703082i
$724$	−9.52875	−	35.5173i	−0.354133	−	1.31999i
$725$	−1.86631	+	9.38259i	−0.0693131	+	0.348461i
$726$	5.94336	+	7.36990i	0.220579	+	0.273523i
$727$	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
$729$	9.01286	+	25.4513i	0.333810	+	0.942641i
$730$	24.3890	+	9.17500i	0.902677	+	0.339582i
$731$	15.8619	−	10.5986i	0.586672	−	0.392002i
$732$	2.59475	−	35.0653i	0.0959046	−	1.29605i
$733$	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
$738$	4.52995	−	4.09802i	0.166750	−	0.150850i
$739$	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
$741$	−0.647142	−	0.225992i	−0.0237733	−	0.00830201i
$742$	−4.27025	−	1.60645i	−0.156766	−	0.0589745i
$743$	8.23030	−	19.8697i	0.301940	−	0.728948i	−0.697977	−	0.716120i	$-0.745916\pi$
$743$	8.23030	−	19.8697i	0.301940	−	0.728948i	0.999918	−	0.0128286i	$-0.00408358\pi$
$744$	−29.0174	−	1.18985i	−1.06383	−	0.0436218i
$745$	0.799069	+	1.92912i	0.0292756	+	0.0706776i
$746$	−18.9316	+	0.622724i	−0.693136	+	0.0227995i
$747$	−7.49357	+	14.5497i	−0.274176	+	0.532346i
$748$	−8.44778	+	14.6426i	−0.308882	+	0.535385i
$749$	−2.79785	+	4.18727i	−0.102231	+	0.153000i
$750$	−8.65626	+	27.6797i	−0.316082	+	1.01072i
$751$	−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
$753$	6.98193	+	0.981242i	0.254436	+	0.0357585i
$754$	0.415460	+	0.0685259i	0.0151302	+	0.00249557i
$755$	−9.69294	+	14.5065i	−0.352762	+	0.527946i
$756$	−2.39009	+	3.90303i	−0.0869267	+	0.141952i
$757$	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
$759$	24.3758	−	41.3820i	0.884787	−	1.50207i
$760$	−17.3333	+	14.2387i	−0.628744	+	0.516491i
$761$	4.37747	−	10.5681i	0.158683	−	0.383095i	−0.824463	−	0.565916i	$-0.808523\pi$
$761$	4.37747	−	10.5681i	0.158683	−	0.383095i	0.983146	+	0.182821i	$0.0585228\pi$
$762$	13.1510	−	24.1047i	0.476412	−	0.873221i
$763$	3.29636	−	2.20256i	0.119336	−	0.0797380i
$764$	11.5867	−	5.71846i	0.419193	−	0.206886i
$765$	0.857088	−	10.3148i	0.0309881	−	0.372934i
$766$	−3.84833	−	16.4929i	−0.139046	−	0.595914i
$767$	0.350590			0.0126591
$768$	24.7626	+	12.4425i	0.893542	+	0.448980i
$769$	−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
$771$	−18.0244	−	16.0873i	−0.649131	−	0.579371i
$772$	−27.3317	+	13.4891i	−0.983689	+	0.485484i
$773$	40.9878	−	27.3872i	1.47423	−	0.985049i	0.480059	−	0.877236i	$-0.340615\pi$
$773$	40.9878	−	27.3872i	1.47423	−	0.985049i	0.994171	−	0.107813i	$-0.0343848\pi$
$774$	5.38307	+	36.5246i	0.193490	+	1.31285i
$775$	5.72420	−	13.8194i	0.205619	−	0.496409i
$776$	−32.0783	+	26.3512i	−1.15154	+	0.945953i
$777$	2.06479	+	1.21626i	0.0740741	+	0.0436329i
$778$	18.9244	+	17.7191i	0.678474	+	0.635261i
$779$	−1.41551	+	7.11623i	−0.0507158	+	0.254965i
$780$	0.412603	+	0.114286i	0.0147736	+	0.00409208i
$781$	−22.3818	+	33.4967i	−0.800884	+	1.19861i
$782$	22.0001	+	3.62869i	0.786721	+	0.129762i
$783$	17.9972	+	8.01283i	0.643167	+	0.286355i
$784$	26.9891	−	3.57037i	0.963896	−	0.127513i
$785$	5.62499	+	5.62499i	0.200764	+	0.200764i
$786$	39.3895	+	12.3183i	1.40498	+	0.439378i
$787$	−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
$789$	−11.9417	+	5.75998i	−0.425134	+	0.205061i
$790$	−30.2166	+	0.993922i	−1.07506	+	0.0353622i
$791$	−0.211836	−	0.511418i	−0.00753203	−	0.0181839i
$792$	−18.6016	−	26.9123i	−0.660980	−	0.956289i
$793$	0.305044	−	0.736442i	0.0108324	−	0.0261518i
$794$	15.9481	+	5.99958i	0.565976	+	0.212917i
$795$	−6.58340	+	18.8520i	−0.233489	+	0.668611i
$796$	−0.304008	−	4.61613i	−0.0107753	−	0.163614i
$797$	−28.5633	+	5.68159i	−1.01176	+	0.201252i	−0.673019	−	0.739626i	$-0.735003\pi$
$797$	−28.5633	+	5.68159i	−1.01176	+	0.201252i	−0.338746	+	0.940878i	$0.610003\pi$
$798$	−0.486455	−	5.41433i	−0.0172203	−	0.191665i
$799$	−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
$804$	−37.6276	−	2.78436i	−1.32702	−	0.0981966i
$805$	−4.14452	+	2.76928i	−0.146075	+	0.0976043i
$806$	−0.616228	−	0.231822i	−0.0217057	−	0.00816557i
$807$	53.3584	−	13.7994i	1.87830	−	0.485763i
$808$	10.2178	−	33.7407i	0.359462	−	1.18699i
$809$	4.14938	−	1.71873i	0.145884	−	0.0604273i	−0.308547	−	0.951209i	$-0.599843\pi$
$809$	4.14938	−	1.71873i	0.145884	−	0.0604273i	0.454431	+	0.890782i	$0.349843\pi$
$810$	17.3270	+	10.0505i	0.608808	+	0.353139i
$811$	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
$813$	−0.600827	−	10.5808i	−0.0210719	−	0.371085i
$814$	−13.9225	+	9.97999i	−0.487982	+	0.349799i
$815$	−9.88709	+	9.88709i	−0.346330	+	0.346330i
$816$	8.54027	−	12.5600i	0.298969	−	0.439687i
$817$	−31.0081	−	31.0081i	−1.08484	−	1.08484i
$818$	−25.6144	−	4.22483i	−0.895586	−	0.147718i
$819$	−0.0791897	+	0.0670391i	−0.00276711	+	0.00234254i
$820$	0.590116	−	4.49325i	0.0206078	−	0.156911i
$821$	52.4380	+	10.4306i	1.83010	+	0.364029i	0.985270	−	0.171008i	$-0.0547024\pi$
$821$	52.4380	+	10.4306i	1.83010	+	0.364029i	0.844829	+	0.535037i	$0.179702\pi$
$822$	6.04347	−	56.4010i	0.210790	−	1.96721i
$823$	−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
$825$	16.3134	−	4.21894i	0.567960	−	0.146885i
$826$	1.14788	+	2.53237i	0.0399398	+	0.0881124i
$827$	4.94686	+	7.40349i	0.172019	+	0.257445i	0.907455	−	0.420150i	$-0.138022\pi$
$827$	4.94686	+	7.40349i	0.172019	+	0.257445i	−0.735436	+	0.677595i	$0.763022\pi$
$828$	−24.5851	+	35.4630i	−0.854391	+	1.23243i
$829$	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
$834$	−15.5601	−	12.9946i	−0.538802	−	0.449965i
$835$	1.66926	+	8.39196i	0.0577673	+	0.290416i
$836$	36.8006	+	12.4793i	1.27277	+	0.431605i
$837$	−25.1554	−	17.7781i	−0.869499	−	0.614499i
$838$	−2.16282	+	0.980368i	−0.0747133	+	0.0338663i
$839$	27.9738	+	11.5871i	0.965762	+	0.400032i	0.809133	−	0.587626i	$-0.199937\pi$
$839$	27.9738	+	11.5871i	0.965762	+	0.400032i	0.156629	+	0.987657i	$0.449937\pi$
$840$	0.525414	+	3.35448i	0.0181285	+	0.115741i
$841$	−13.5125	+	5.59704i	−0.465947	+	0.193001i
$842$	22.4111	+	20.9837i	0.772339	+	0.723147i
$843$	−4.57771	+	2.20803i	−0.157665	+	0.0760484i
$844$	−1.02133	+	7.77660i	−0.0351557	+	0.267682i
$845$	−17.0030	−	11.3611i	−0.584922	−	0.390833i
$846$	18.8214	−	39.6987i	0.647094	−	1.36487i
$847$	−1.20364	+	1.20364i	−0.0413577	+	0.0413577i
$848$	−22.0185	+	19.3341i	−0.756117	+	0.663935i
$849$	10.1644	+	1.42851i	0.348843	+	0.0490265i
$850$	4.55763	+	6.35806i	0.156325	+	0.218080i
$851$	18.7865	+	12.5528i	0.643994	+	0.430303i
$852$	22.2756	−	28.5299i	0.763149	−	0.977417i
$853$	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
$855$	−23.6395	+	2.69341i	−0.808454	+	0.0921125i
$856$	15.2601	+	28.5174i	0.521580	+	0.974706i
$857$	−22.1000	−	9.15412i	−0.754921	−	0.312699i	−0.0281736	−	0.999603i	$-0.508969\pi$
$857$	−22.1000	−	9.15412i	−0.754921	−	0.312699i	−0.726748	+	0.686904i	$0.758969\pi$
$858$	−0.209206	−	0.711555i	−0.00714217	−	0.0242921i
$859$	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
$861$	0.819359	+	0.731305i	0.0279237	+	0.0249228i
$862$	17.1928	+	10.6874i	0.585589	+	0.364016i
$863$			5.07229i			0.172663i	0.996266	+	0.0863314i	$0.0275144\pi$
$863$			5.07229i			0.172663i	−0.996266	+	0.0863314i	$0.972486\pi$
$864$	14.8831	+	25.3474i	0.506334	+	0.862338i
$865$			11.1156i			0.377942i
$866$	7.49873	−	12.0632i	0.254817	−	0.409923i
$867$	15.7572	+	14.0638i	0.535142	+	0.477632i
$868$	−0.343128	−	5.21013i	−0.0116465	−	0.176843i
$869$	29.0969	+	43.5466i	0.987044	+	1.47722i
$870$	14.0219	−	4.12262i	0.475387	−	0.139770i
$871$	−0.790257	−	0.327335i	−0.0267768	−	0.0110913i
$872$	−2.50762	−	25.3383i	−0.0849186	−	0.858062i
$873$	−43.7491	+	4.98462i	−1.48068	+	0.168704i
$874$	−1.68503	−	51.2271i	−0.0569970	−	1.73278i
$875$	−5.11401	−	1.01724i	−0.172885	−	0.0343890i
$876$	4.95531	+	40.2534i	0.167424	+	1.36004i
$877$	−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
$879$	21.2473	+	2.98610i	0.716653	+	0.100719i
$880$	−23.4480	−	6.26713i	−0.790430	−	0.211265i
$881$	32.0431	−	32.0431i	1.07956	−	1.07956i	0.0830093	−	0.996549i	$-0.473547\pi$
$881$	32.0431	−	32.0431i	1.07956	−	1.07956i	0.996549	−	0.0830093i	$-0.0264531\pi$
$882$	26.0917	+	12.3703i	0.878555	+	0.416529i
$883$	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
$885$	10.9605	−	5.28675i	0.368435	−	0.177712i
$886$	−30.6340	+	32.7178i	−1.02917	+	1.09918i
$887$	−17.0759	+	7.07308i	−0.573353	+	0.237491i	−0.650471	−	0.759531i	$-0.725428\pi$
$887$	−17.0759	+	7.07308i	−0.573353	+	0.237491i	0.0771175	+	0.997022i	$0.475428\pi$
$888$	13.1366	−	8.01920i	0.440834	−	0.269107i
$889$	4.56102	+	1.88923i	0.152972	+	0.0633629i
$890$	−3.65313	−	8.05928i	−0.122453	−	0.270148i
$891$	−1.05975	−	34.6837i	−0.0355030	−	1.16195i
$892$	15.4959	−	7.64776i	0.518841	−	0.256066i
$893$	10.1807	+	51.1820i	0.340685	+	1.71274i
$894$	−2.08320	+	2.49449i	−0.0696727	+	0.0834281i
$895$		−	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
$900$	−14.8969	+	2.69863i	−0.496564	+	0.0899544i
$901$	8.92221	+	13.3530i	0.297242	+	0.444854i
$902$	−7.15030	+	3.24111i	−0.238079	+	0.107917i
$903$	−6.42624	+	1.66194i	−0.213852	+	0.0553060i
$904$	−3.53826	−	0.346810i	−0.117681	−	0.0115347i
$905$	−11.0735	−	26.7338i	−0.368096	−	0.888662i
$906$	−27.0004	−	2.89314i	−0.897028	−	0.0961181i
$907$	−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
$909$	28.5391	−	24.1602i	0.946581	−	0.801342i
$910$	−0.0125270	+	0.0759487i	−0.000415265	+	0.00251767i
$911$	−8.74875	−	8.74875i	−0.289859	−	0.289859i	0.547165	−	0.837025i	$-0.315707\pi$
$911$	−8.74875	−	8.74875i	−0.289859	−	0.289859i	−0.837025	+	0.547165i	$0.815707\pi$
$912$	−32.1468	−	13.6217i	−1.06449	−	0.451060i
$913$	14.8728	−	14.8728i	0.492218	−	0.492218i
$914$	18.0936	+	25.2413i	0.598484	+	0.834908i
$915$	−1.56858	−	27.6234i	−0.0518557	−	0.913201i
$916$	−6.11097	+	10.5922i	−0.201912	+	0.349975i
$917$	−1.44758	+	7.27748i	−0.0478033	+	0.240324i
$918$	14.8418	−	6.26457i	0.489854	−	0.206762i
$919$	−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
$921$	28.6211	−	7.40192i	0.943096	−	0.243902i
$922$	−10.1237	+	26.9109i	−0.333407	+	0.886262i
$923$	0.682288	−	0.455890i	0.0224578	−	0.0150058i
$924$	4.45470	−	3.84085i	0.146549	−	0.126355i
$925$	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	$-0.758155\pi$
$929$	−44.1946			−1.44998			−0.724988	+	0.688761i	$0.758155\pi$
$930$	−22.7610	+	2.04498i	−0.746362	+	0.0670574i
$931$	−33.6391	+	6.69123i	−1.10248	+	0.219296i
$932$	−3.08712	+	3.52241i	−0.101122	+	0.115380i
$933$	15.6368	−	44.7770i	0.511925	−	1.46593i
$934$	−2.66260	+	7.07773i	−0.0871231	+	0.231590i
$935$	−5.09051	+	12.2896i	−0.166477	+	0.401912i
$936$	0.140275	+	0.651441i	0.00458503	+	0.0212930i
$937$	−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
$939$	42.0708	−	20.2926i	1.37293	−	0.662223i
$940$	−8.44587	−	31.4810i	−0.275474	−	1.02680i
$941$	12.5037	−	18.7132i	0.407610	−	0.610032i	−0.569698	−	0.821854i	$-0.692940\pi$
$941$	12.5037	−	18.7132i	0.407610	−	0.610032i	0.977308	+	0.211822i	$0.0679399\pi$
$942$	−3.69553	+	11.8170i	−0.120407	+	0.385019i
$943$	7.32202	+	7.32202i	0.238438	+	0.238438i
$944$	17.8195	+	1.15675i	0.579976	+	0.0376490i
$945$	−1.46479	+	3.29000i	−0.0476498	+	0.107024i
$946$	7.72169	−	46.8152i	0.251054	−	1.52209i
$947$	−3.23352	+	4.83931i	−0.105075	+	0.157256i	−0.880281	−	0.474452i	$-0.842646\pi$
$947$	−3.23352	+	4.83931i	−0.105075	+	0.157256i	0.775206	+	0.631709i	$0.217646\pi$
$948$	−23.1842	−	40.9480i	−0.752988	−	1.32993i
$949$	−0.179376	+	0.901784i	−0.00582279	+	0.0292732i
$950$	12.2906	−	13.1266i	0.398758	−	0.425883i
$951$	−12.6256	−	7.43703i	−0.409412	−	0.241162i
$952$	2.40889	+	1.28612i	0.0780725	+	0.0416835i
$953$	−14.3371	+	34.6127i	−0.464423	+	1.12122i	0.502140	+	0.864786i	$0.332546\pi$
$953$	−14.3371	+	34.6127i	−0.464423	+	1.12122i	−0.966563	+	0.256430i	$0.917454\pi$
$954$	−30.7475	+	4.53164i	−0.995489	+	0.146717i
$955$	8.45389	−	5.64871i	0.273562	−	0.182788i
$956$	−4.86062	+	14.3337i	−0.157204	+	0.463584i
$957$	−18.8891	−	16.8591i	−0.610597	−	0.544978i
$958$	−21.9970	+	5.13261i	−0.710691	+	0.165827i
$959$	10.1984			0.329322
$960$	20.5944	+	7.17018i	0.664681	+	0.231416i
$961$	4.14279			0.133639
$962$	0.339789	−	0.0792838i	0.0109552	−	0.00255621i
$963$	−2.84076	+	34.1879i	−0.0915422	+	1.10169i
$964$	−36.4651	−	12.3655i	−1.17446	−	0.398266i
$965$	−19.9417	+	13.3246i	−0.641946	+	0.428934i
$966$	−6.81052	−	3.71569i	−0.219125	−	0.119550i
$967$	−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
$969$	−9.71174	+	16.4873i	−0.311986	+	0.529648i
$970$	−22.3270	+	23.8458i	−0.716878	+	0.765643i
$971$	3.41390	−	17.1628i	0.109557	−	0.550782i	−0.886550	−	0.462633i	$-0.846905\pi$
$971$	3.41390	−	17.1628i	0.109557	−	0.550782i	0.996107	−	0.0881491i	$-0.0280952\pi$
$972$	−1.35009	+	31.1477i	−0.0433042	+	0.999062i
$973$	2.02494	−	3.03053i	0.0649164	−	0.0971543i
$974$	−4.86887	+	29.5190i	−0.156009	+	0.945851i
$975$	−0.339876	−	0.0477663i	−0.0108848	−	0.00152975i
$976$	17.9344	−	36.4248i	0.574066	−	1.16593i
$977$	−35.2475	−	35.2475i	−1.12767	−	1.12767i	−0.990556	−	0.137110i	$-0.956219\pi$
$977$	−35.2475	−	35.2475i	−1.12767	−	1.12767i	−0.137110	−	0.990556i	$-0.543781\pi$
$978$	−20.7709	−	6.49567i	−0.664179	−	0.207708i
$979$	−8.51609	+	12.7452i	−0.272176	+	0.407339i
$980$	20.6907	−	5.55100i	0.660941	−	0.177320i
$981$	12.3656	−	24.0093i	0.394803	−	0.766559i
$982$	−1.70425	−	51.8113i	−0.0543847	−	1.65337i
$983$	−19.8208	−	47.8517i	−0.632186	−	1.52623i	−0.836869	−	0.547404i	$-0.815616\pi$
$983$	−19.8208	−	47.8517i	−0.632186	−	1.52623i	0.204682	−	0.978828i	$-0.434384\pi$
$984$	6.62173	−	2.43002i	0.211093	−	0.0774661i
$985$	−0.117665	+	0.284069i	−0.00374913	+	0.00905120i
$986$	4.13876	−	11.0016i	0.131805	−	0.350364i
$987$	7.45731	+	2.60420i	0.237369	+	0.0828927i
$988$	−0.595251	−	0.521692i	−0.0189375	−	0.0165972i
$989$	−61.3810	+	12.2094i	−1.95180	+	0.388237i
$990$	−17.2704	−	19.0907i	−0.548888	−	0.606741i
$991$	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
$996$	−14.3125	+	12.3403i	−0.453509	+	0.391016i
$997$	−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
$999$	16.3188	+	0.427299i	0.516304	+	0.0135192i

Twists

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

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

\(f(q)\)	\(=\)	\(q+(0.321350 + 1.37722i) q^{2} +(-1.15334 + 1.29221i) q^{3} +(-1.79347 + 0.885139i) q^{4} +(-1.30855 + 0.874343i) q^{5} +(-2.15028 - 1.17315i) q^{6} +(0.168531 - 0.406870i) q^{7} +(-1.79536 - 2.18556i) q^{8} +(-0.339613 - 2.98072i) q^{9} +O(q^{10})\)	\(q+(0.321350 + 1.37722i) q^{2} +(-1.15334 + 1.29221i) q^{3} +(-1.79347 + 0.885139i) q^{4} +(-1.30855 + 0.874343i) q^{5} +(-2.15028 - 1.17315i) q^{6} +(0.168531 - 0.406870i) q^{7} +(-1.79536 - 2.18556i) q^{8} +(-0.339613 - 2.98072i) q^{9} +(-1.62466 - 1.52119i) q^{10} +(-0.752179 + 3.78146i) q^{11} +(0.924694 - 3.33840i) q^{12} +(0.0436304 - 0.0652976i) q^{13} +(0.614507 + 0.101357i) q^{14} +(0.379365 - 2.69933i) q^{15} +(2.43306 - 3.17494i) q^{16} +(-1.55016 - 1.55016i) q^{17} +(3.99597 - 1.42557i) q^{18} +(-2.79972 + 4.19007i) q^{19} +(1.57292 - 2.72635i) q^{20} +(0.331388 + 0.687037i) q^{21} +(-5.44961 + 0.179256i) q^{22} +(2.75223 + 6.64447i) q^{23} +(4.89487 + 0.200711i) q^{24} +(-0.965598 + 2.33116i) q^{25} +(0.103950 + 0.0391053i) q^{26} +(4.24340 + 2.99893i) q^{27} +(0.0578812 + 0.878881i) q^{28} +(3.71849 - 0.739653i) q^{29} +(3.83948 - 0.344961i) 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} +(3.24743 + 5.04521i) q^{36} +(2.61217 - 1.74540i) q^{37} +(-6.67034 - 2.50935i) q^{38} +(0.0340574 + 0.131690i) q^{39} +(4.26024 + 1.29015i) q^{40} +(1.33020 - 0.550986i) q^{41} +(-0.839709 + 0.677173i) q^{42} +(-1.69766 + 8.53471i) q^{43} +(-1.99811 - 7.44771i) q^{44} +(3.05057 + 3.60347i) q^{45} +(-8.26646 + 5.92562i) q^{46} +(7.32240 - 7.32240i) q^{47} +(1.29654 + 6.80581i) q^{48} +(4.81261 + 4.81261i) q^{49} +(-3.52081 - 0.580723i) q^{50} +(3.79101 - 0.215271i) q^{51} +(-0.0204524 + 0.155728i) q^{52} +(-7.18480 - 1.42914i) q^{53} +(-2.76657 + 6.80780i) q^{54} +(-2.32203 - 5.60588i) q^{55} +(-1.19181 + 0.362144i) q^{56} +(-2.18543 - 8.45040i) q^{57} +(2.21360 + 4.88348i) q^{58} +(2.48021 + 3.71190i) q^{59} +(1.70890 + 5.17696i) 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} +(6.05362 - 7.24879i) q^{66} +(-2.12490 - 10.6826i) q^{67} +(4.15228 + 1.40806i) q^{68} +(-11.7603 - 4.10688i) q^{69} +(-0.892731 + 0.404660i) q^{70} +(9.65353 + 3.99862i) q^{71} +(-5.90481 + 6.09371i) q^{72} +(-10.8167 + 4.48041i) q^{73} +(3.24322 + 3.03665i) q^{74} +(-1.89868 - 3.93638i) q^{75} +(1.31241 - 9.99290i) q^{76} +(1.41180 + 0.943332i) q^{77} +(-0.170422 + 0.0892231i) q^{78} +(9.60521 - 9.60521i) q^{79} +(-0.407787 + 6.28188i) q^{80} +(-8.76933 + 2.02458i) q^{81} +(1.18629 + 1.65492i) q^{82} +(-4.53596 - 3.03083i) q^{83} +(-1.20246 - 0.938855i) q^{84} +(3.38384 + 0.673087i) q^{85} +(-12.2997 + 0.404578i) q^{86} +(-3.33289 + 5.65814i) q^{87} +(9.61504 - 5.14515i) q^{88} +(3.67309 + 1.52144i) q^{89} +(-3.98247 + 5.35927i) q^{90} +(-0.0192145 - 0.0287566i) q^{91} +(-10.8173 - 9.48054i) q^{92} +(6.83716 - 7.66040i) q^{93} +(12.4376 + 7.73150i) q^{94} -7.93082i q^{95} +(-8.95645 + 3.97267i) q^{96} -14.6774i q^{97} +(-5.08149 + 8.17455i) q^{98} +(11.5269 + 0.957801i) 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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