LMFDB - Embedded newform 350.2.x.a.283.17

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [350,2,Mod(3,350)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(350, base_ring=CyclotomicField(60)) chi = DirichletCharacter(H, H._module([21, 10])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("350.3"); S:= CuspForms(chi, 2); N := Newforms(S);

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

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$20$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			283.17
Character	$\chi$	$=$	350.283
Dual form			350.2.x.a.47.17

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.0523360 + 0.998630i) q^{2} +(0.726362 + 0.588197i) q^{3} +(-0.994522 + 0.104528i) q^{4} +(0.322475 - 2.21269i) q^{5} +(-0.549376 + 0.756151i) q^{6} +(2.50155 - 0.861541i) q^{7} +(-0.156434 - 0.987688i) q^{8} +(-0.442108 - 2.07995i) q^{9} +(2.22654 + 0.206230i) q^{10} +(3.36278 + 0.714781i) q^{11} +(-0.783867 - 0.509049i) q^{12} +(-0.449259 - 0.881721i) q^{13} +(0.991281 + 2.45303i) q^{14} +(1.53573 - 1.41754i) q^{15} +(0.978148 - 0.207912i) q^{16} +(0.865666 + 0.332298i) q^{17} +(2.05397 - 0.550359i) q^{18} +(-0.491301 + 4.67441i) q^{19} +(-0.0894196 + 2.23428i) q^{20} +(2.32379 + 0.845612i) q^{21} +(-0.537807 + 3.39558i) q^{22} +(-2.08157 + 0.109090i) q^{23} +(0.467327 - 0.809434i) q^{24} +(-4.79202 - 1.42708i) q^{25} +(0.857000 - 0.494789i) q^{26} +(2.17526 - 4.26920i) q^{27} +(-2.39779 + 1.11830i) q^{28} +(-0.250782 - 0.345171i) q^{29} +(1.49597 + 1.45944i) q^{30} +(2.65228 + 5.95712i) q^{31} +(0.258819 + 0.965926i) q^{32} +(2.02217 + 2.49717i) q^{33} +(-0.286537 + 0.881870i) q^{34} +(-1.09964 - 5.81299i) q^{35} +(0.657101 + 2.02235i) q^{36} +(-3.48571 + 5.36753i) q^{37} +(-4.69372 - 0.245987i) q^{38} +(0.192300 - 0.904702i) q^{39} +(-2.23590 + 0.0276361i) q^{40} +(-0.924781 - 0.300480i) q^{41} +(-0.722836 + 2.36486i) q^{42} +(-5.88242 - 5.88242i) q^{43} +(-3.41907 - 0.359359i) q^{44} +(-4.74487 + 0.307515i) q^{45} +(-0.217881 - 2.07300i) q^{46} +(2.70812 + 7.05488i) q^{47} +(0.832783 + 0.424324i) q^{48} +(5.51550 - 4.31037i) q^{49} +(1.17433 - 4.86014i) q^{50} +(0.433330 + 0.750550i) q^{51} +(0.538963 + 0.829931i) q^{52} +(1.33772 - 1.65194i) q^{53} +(4.37719 + 1.94885i) q^{54} +(2.66601 - 7.21030i) q^{55} +(-1.24226 - 2.33598i) q^{56} +(-3.10634 + 3.10634i) q^{57} +(0.331574 - 0.268503i) q^{58} +(-4.36563 - 4.84853i) q^{59} +(-1.37915 + 1.57030i) q^{60} +(4.65677 + 4.19298i) q^{61} +(-5.81015 + 2.96042i) q^{62} +(-2.89792 - 4.82222i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(-2.09585 + 0.709740i) q^{65} +(-2.38791 + 2.15009i) q^{66} +(-2.14691 + 5.59289i) q^{67} +(-0.895658 - 0.239991i) q^{68} +(-1.57614 - 1.14513i) q^{69} +(5.74747 - 1.40236i) q^{70} +(11.7761 - 8.55586i) q^{71} +(-1.98519 + 0.762042i) q^{72} +(-13.0232 + 8.45737i) q^{73} +(-5.54260 - 3.20002i) q^{74} +(-2.64134 - 3.85523i) q^{75} -4.70016i q^{76} +(9.02797 - 1.10911i) q^{77} +(0.913526 + 0.144688i) q^{78} +(4.70945 - 10.5776i) q^{79} +(-0.144616 - 2.23139i) q^{80} +(-1.73659 + 0.773181i) q^{81} +(0.251668 - 0.939239i) q^{82} +(-1.75461 + 0.277904i) q^{83} +(-2.39945 - 0.598078i) q^{84} +(1.01443 - 1.80829i) q^{85} +(5.56650 - 6.18222i) q^{86} +(0.0208703 - 0.398229i) q^{87} +(0.179926 - 3.43320i) q^{88} +(-2.87690 + 3.19512i) q^{89} +(-0.555421 - 4.72227i) q^{90} +(-1.88348 - 1.81861i) q^{91} +(2.05876 - 0.326075i) q^{92} +(-1.57744 + 5.88709i) q^{93} +(-6.90348 + 3.07363i) q^{94} +(10.1846 + 2.59448i) q^{95} +(-0.380158 + 0.853849i) q^{96} +(-6.42485 - 1.01760i) q^{97} +(4.59312 + 5.28235i) q^{98} -7.31044i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) $ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

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

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{20}\right)$

Coefficient data

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

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

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

$2$	0.0523360	+	0.998630i	0.0370071	+	0.706138i
$2$	0.0523360	+	0.998630i	0.0370071	+	0.706138i
$3$	0.726362	+	0.588197i	0.419366	+	0.339596i	0.815664	−	0.578526i	$-0.196372\pi$
$3$	0.726362	+	0.588197i	0.419366	+	0.339596i	−0.396298	+	0.918122i	$0.629705\pi$
$4$	−0.994522	+	0.104528i	−0.497261	+	0.0522642i
$5$	0.322475	−	2.21269i	0.144215	−	0.989546i
$5$	0.322475	−	2.21269i	0.144215	−	0.989546i
$6$	−0.549376	+	0.756151i	−0.224282	+	0.308697i
$7$	2.50155	−	0.861541i	0.945497	−	0.325632i
$7$	2.50155	−	0.861541i	0.945497	−	0.325632i
$8$	−0.156434	−	0.987688i	−0.0553079	−	0.349201i
$9$	−0.442108	−	2.07995i	−0.147369	−	0.693318i
$10$	2.22654	+	0.206230i	0.704093	+	0.0652157i
$11$	3.36278	+	0.714781i	1.01392	+	0.215515i	0.684766	−	0.728763i	$-0.259904\pi$
$11$	3.36278	+	0.714781i	1.01392	+	0.215515i	0.329150	+	0.944278i	$0.393238\pi$
$12$	−0.783867	−	0.509049i	−0.226283	−	0.146950i
$13$	−0.449259	−	0.881721i	−0.124602	−	0.244545i	0.820276	−	0.571968i	$-0.193820\pi$
$13$	−0.449259	−	0.881721i	−0.124602	−	0.244545i	−0.944878	+	0.327423i	$0.893820\pi$
$14$	0.991281	+	2.45303i	0.264931	+	0.655600i
$15$	1.53573	−	1.41754i	0.396524	−	0.366007i
$16$	0.978148	−	0.207912i	0.244537	−	0.0519779i
$17$	0.865666	+	0.332298i	0.209955	+	0.0805941i	0.461072	−	0.887362i	$-0.347465\pi$
$17$	0.865666	+	0.332298i	0.209955	+	0.0805941i	−0.251118	+	0.967957i	$0.580798\pi$
$18$	2.05397	−	0.550359i	0.484124	−	0.129721i
$19$	−0.491301	+	4.67441i	−0.112712	+	1.07238i	0.781243	+	0.624227i	$0.214586\pi$
$19$	−0.491301	+	4.67441i	−0.112712	+	1.07238i	−0.893955	+	0.448157i	$0.852081\pi$
$20$	−0.0894196	+	2.23428i	−0.0199948	+	0.499600i
$21$	2.32379	+	0.845612i	0.507092	+	0.184528i
$22$	−0.537807	+	3.39558i	−0.114661	+	0.723940i
$23$	−2.08157	+	0.109090i	−0.434036	+	0.0227469i	−0.268103	−	0.963390i	$-0.586397\pi$
$23$	−2.08157	+	0.109090i	−0.434036	+	0.0227469i	−0.165933	+	0.986137i	$0.553064\pi$
$24$	0.467327	−	0.809434i	0.0953927	−	0.165225i
$25$	−4.79202	−	1.42708i	−0.958404	−	0.285416i
$26$	0.857000	−	0.494789i	0.168072	−	0.0970362i
$27$	2.17526	−	4.26920i	0.418630	−	0.821607i
$28$	−2.39779	+	1.11830i	−0.453140	+	0.211340i
$29$	−0.250782	−	0.345171i	−0.0465690	−	0.0640967i	0.785097	−	0.619372i	$-0.212613\pi$
$29$	−0.250782	−	0.345171i	−0.0465690	−	0.0640967i	−0.831666	+	0.555276i	$0.812613\pi$
$30$	1.49597	+	1.45944i	0.273125	+	0.266456i
$31$	2.65228	+	5.95712i	0.476364	+	1.06993i	0.978707	+	0.205262i	$0.0658048\pi$
$31$	2.65228	+	5.95712i	0.476364	+	1.06993i	−0.502343	+	0.864668i	$0.667529\pi$
$32$	0.258819	+	0.965926i	0.0457532	+	0.170753i
$33$	2.02217	+	2.49717i	0.352014	+	0.434701i
$34$	−0.286537	+	0.881870i	−0.0491407	+	0.151240i
$35$	−1.09964	−	5.81299i	−0.185872	−	0.982574i
$36$	0.657101	+	2.02235i	0.109517	+	0.337058i
$37$	−3.48571	+	5.36753i	−0.573048	+	0.882416i	−0.999759	−	0.0219721i	$-0.993006\pi$
$37$	−3.48571	+	5.36753i	−0.573048	+	0.882416i	0.426711	+	0.904388i	$0.359672\pi$
$38$	−4.69372	−	0.245987i	−0.761422	−	0.0399044i
$39$	0.192300	−	0.904702i	0.0307927	−	0.144868i
$40$	−2.23590	+	0.0276361i	−0.353526	+	0.00436966i
$41$	−0.924781	−	0.300480i	−0.144427	−	0.0469270i	0.235912	−	0.971775i	$-0.424192\pi$
$41$	−0.924781	−	0.300480i	−0.144427	−	0.0469270i	−0.380338	+	0.924847i	$0.624192\pi$
$42$	−0.722836	+	2.36486i	−0.111536	+	0.364905i
$43$	−5.88242	−	5.88242i	−0.897061	−	0.897061i	0.0981140	−	0.995175i	$-0.468719\pi$
$43$	−5.88242	−	5.88242i	−0.897061	−	0.897061i	−0.995175	+	0.0981140i	$0.968719\pi$
$44$	−3.41907	−	0.359359i	−0.515445	−	0.0541754i
$45$	−4.74487	+	0.307515i	−0.707323	+	0.0458416i
$46$	−0.217881	−	2.07300i	−0.0321249	−	0.305648i
$47$	2.70812	+	7.05488i	0.395019	+	1.02906i	0.976503	+	0.215503i	$0.0691390\pi$
$47$	2.70812	+	7.05488i	0.395019	+	1.02906i	−0.581484	+	0.813558i	$0.697528\pi$
$48$	0.832783	+	0.424324i	0.120202	+	0.0612459i
$49$	5.51550	−	4.31037i	0.787928	−	0.615767i
$50$	1.17433	−	4.86014i	0.166075	−	0.687327i
$51$	0.433330	+	0.750550i	0.0606784	+	0.105098i
$52$	0.538963	+	0.829931i	0.0747408	+	0.115091i
$53$	1.33772	−	1.65194i	0.183750	−	0.226912i	−0.676945	−	0.736034i	$-0.736696\pi$
$53$	1.33772	−	1.65194i	0.183750	−	0.226912i	0.860694	+	0.509122i	$0.170030\pi$
$54$	4.37719	+	1.94885i	0.595660	+	0.265205i
$55$	2.66601	−	7.21030i	0.359484	−	0.972237i
$56$	−1.24226	−	2.33598i	−0.166004	−	0.312158i
$57$	−3.10634	+	3.10634i	−0.411444	+	0.411444i
$58$	0.331574	−	0.268503i	0.0435377	−	0.0352562i
$59$	−4.36563	−	4.84853i	−0.568357	−	0.631225i	0.388616	−	0.921400i	$-0.372953\pi$
$59$	−4.36563	−	4.84853i	−0.568357	−	0.631225i	−0.956974	+	0.290175i	$0.906286\pi$
$60$	−1.37915	+	1.57030i	−0.178047	+	0.202725i
$61$	4.65677	+	4.19298i	0.596239	+	0.536856i	0.911049	−	0.412299i	$-0.135274\pi$
$61$	4.65677	+	4.19298i	0.596239	+	0.536856i	−0.314810	+	0.949155i	$0.601941\pi$
$62$	−5.81015	+	2.96042i	−0.737890	+	0.375974i
$63$	−2.89792	−	4.82222i	−0.365104	−	0.607542i
$64$	−0.951057	+	0.309017i	−0.118882	+	0.0386271i
$65$	−2.09585	+	0.709740i	−0.259959	+	0.0880324i
$66$	−2.38791	+	2.15009i	−0.293932	+	0.264657i
$67$	−2.14691	+	5.59289i	−0.262287	+	0.683280i	0.737680	+	0.675150i	$0.235921\pi$
$67$	−2.14691	+	5.59289i	−0.262287	+	0.683280i	−0.999967	+	0.00812972i	$0.997412\pi$
$68$	−0.895658	−	0.239991i	−0.108614	−	0.0291032i
$69$	−1.57614	−	1.14513i	−0.189745	−	0.137858i
$70$	5.74747	−	1.40236i	0.686954	−	0.167614i
$71$	11.7761	−	8.55586i	1.39757	−	1.01539i	0.402583	−	0.915383i	$-0.368112\pi$
$71$	11.7761	−	8.55586i	1.39757	−	1.01539i	0.994986	−	0.100011i	$-0.0318877\pi$
$72$	−1.98519	+	0.762042i	−0.233956	+	0.0898075i
$73$	−13.0232	+	8.45737i	−1.52425	+	0.989860i	−0.534802	+	0.844977i	$0.679614\pi$
$73$	−13.0232	+	8.45737i	−1.52425	+	0.989860i	−0.989449	+	0.144883i	$0.953719\pi$
$74$	−5.54260	−	3.20002i	−0.644314	−	0.371995i
$75$	−2.64134	−	3.85523i	−0.304996	−	0.445163i
$76$		−	4.70016i		−	0.539146i
$77$	9.02797	−	1.10911i	1.02883	−	0.126395i
$78$	0.913526	+	0.144688i	0.103436	+	0.0163827i
$79$	4.70945	−	10.5776i	0.529855	−	1.19007i	−0.428251	−	0.903660i	$-0.640870\pi$
$79$	4.70945	−	10.5776i	0.529855	−	1.19007i	0.958106	−	0.286414i	$-0.0924632\pi$
$80$	−0.144616	−	2.23139i	−0.0161686	−	0.249477i
$81$	−1.73659	+	0.773181i	−0.192955	+	0.0859090i
$82$	0.251668	−	0.939239i	0.0277921	−	0.103722i
$83$	−1.75461	+	0.277904i	−0.192594	+	0.0305039i	−0.251986	−	0.967731i	$-0.581084\pi$
$83$	−1.75461	+	0.277904i	−0.192594	+	0.0305039i	0.0593922	+	0.998235i	$0.481084\pi$
$84$	−2.39945	−	0.598078i	−0.261801	−	0.0652557i
$85$	1.01443	−	1.80829i	0.110030	−	0.196137i
$86$	5.56650	−	6.18222i	0.600251	−	0.666646i
$87$	0.0208703	−	0.398229i	0.00223753	−	0.0426946i
$88$	0.179926	−	3.43320i	0.0191802	−	0.365980i
$89$	−2.87690	+	3.19512i	−0.304951	+	0.338682i	−0.876069	−	0.482186i	$-0.839843\pi$
$89$	−2.87690	+	3.19512i	−0.304951	+	0.338682i	0.571118	+	0.820868i	$0.306510\pi$
$90$	−0.555421	−	4.72227i	−0.0585465	−	0.497771i
$91$	−1.88348	−	1.81861i	−0.197443	−	0.190642i
$92$	2.05876	−	0.326075i	0.214641	−	0.0339957i
$93$	−1.57744	+	5.88709i	−0.163573	+	0.610463i
$94$	−6.90348	+	3.07363i	−0.712040	+	0.317021i
$95$	10.1846	+	2.59448i	1.04492	+	0.266188i
$96$	−0.380158	+	0.853849i	−0.0387997	+	0.0871456i
$97$	−6.42485	−	1.01760i	−0.652344	−	0.103321i	−0.178514	−	0.983937i	$-0.557129\pi$
$97$	−6.42485	−	1.01760i	−0.652344	−	0.103321i	−0.473830	+	0.880616i	$0.657129\pi$
$98$	4.59312	+	5.28235i	0.463976	+	0.533598i
$99$		−	7.31044i		−	0.734727i
$100$	4.91494	+	0.918358i	0.491494	+	0.0918358i
$101$	3.27459	+	1.89058i	0.325833	+	0.188120i	0.653990	−	0.756503i	$-0.273094\pi$
$101$	3.27459	+	1.89058i	0.325833	+	0.188120i	−0.328156	+	0.944623i	$0.606427\pi$
$102$	−0.726843	+	0.472017i	−0.0719682	+	0.0467367i
$103$	−16.9880	+	6.52108i	−1.67388	+	0.642541i	−0.995724	−	0.0923787i	$-0.970553\pi$
$103$	−16.9880	+	6.52108i	−1.67388	+	0.642541i	−0.678154	+	0.734920i	$0.737220\pi$
$104$	−0.800586	+	0.581660i	−0.0785039	+	0.0570364i
$105$	2.62044	−	4.86914i	0.255729	−	0.475179i
$106$	1.71969	+	1.24943i	0.167031	+	0.121355i
$107$	−15.0528	−	4.03339i	−1.45521	−	0.389923i	−0.557378	−	0.830259i	$-0.688193\pi$
$107$	−15.0528	−	4.03339i	−1.45521	−	0.389923i	−0.897833	+	0.440336i	$0.854859\pi$
$108$	−1.71709	+	4.47319i	−0.165228	+	0.430432i
$109$	−9.90989	+	8.92290i	−0.949195	+	0.854659i	−0.989501	−	0.144528i	$-0.953833\pi$
$109$	−9.90989	+	8.92290i	−0.949195	+	0.854659i	0.0403058	+	0.999187i	$0.487167\pi$
$110$	7.33995	+	2.28499i	0.699837	+	0.217866i
$111$	−5.68905	+	1.84849i	−0.539981	+	0.175450i
$112$	2.26776	−	1.36282i	0.214283	−	0.128774i
$113$	11.0507	−	5.63060i	1.03956	−	0.529682i	0.151043	−	0.988527i	$-0.451737\pi$
$113$	11.0507	−	5.63060i	1.03956	−	0.529682i	0.888516	+	0.458845i	$0.151737\pi$
$114$	−3.26465	−	2.93951i	−0.305763	−	0.275310i
$115$	−0.429871	+	4.64104i	−0.0400857	+	0.432780i
$116$	0.285488	+	0.317067i	0.0265069	+	0.0294389i
$117$	−1.63532	+	1.32426i	−0.151185	+	0.122427i
$118$	4.61340	−	4.61340i	0.424698	−	0.424698i
$119$	2.45179	+	0.0854534i	0.224755	+	0.00783350i
$120$	−1.64033	−	1.29507i	−0.149741	−	0.118223i
$121$	0.748381	+	0.333201i	0.0680347	+	0.0302910i
$122$	−3.94352	+	4.86984i	−0.357029	+	0.440894i
$123$	−0.494985	−	0.762210i	−0.0446313	−	0.0687262i
$124$	−3.26044	−	5.64725i	−0.292796	−	0.507138i
$125$	−4.70299	+	10.1431i	−0.420649	+	0.907224i
$126$	4.66394	−	3.14632i	0.415497	−	0.280297i
$127$	−4.42953	−	2.25696i	−0.393058	−	0.200273i	0.246280	−	0.969199i	$-0.420792\pi$
$127$	−4.42953	−	2.25696i	−0.393058	−	0.200273i	−0.639338	+	0.768926i	$0.720792\pi$
$128$	−0.358368	−	0.933580i	−0.0316756	−	0.0825176i
$129$	−0.812749	−	7.73279i	−0.0715586	−	0.680835i
$130$	−0.818455	−	2.05584i	−0.0717833	−	0.180309i
$131$	5.99254	+	0.629841i	0.523571	+	0.0550295i	0.362627	−	0.931934i	$-0.381880\pi$
$131$	5.99254	+	0.629841i	0.523571	+	0.0550295i	0.160943	+	0.986964i	$0.448546\pi$
$132$	−2.27211	−	2.27211i	−0.197762	−	0.197762i
$133$	2.79818	+	12.1166i	0.242633	+	1.05064i
$134$	−5.69758	−	1.85126i	−0.492196	−	0.159924i
$135$	−8.74495	−	6.18990i	−0.752645	−	0.532742i
$136$	0.192787	−	0.906991i	0.0165313	−	0.0777738i
$137$	6.28408	+	0.329335i	0.536885	+	0.0281370i	0.318852	−	0.947804i	$-0.396703\pi$
$137$	6.28408	+	0.329335i	0.536885	+	0.0281370i	0.218033	+	0.975941i	$0.430036\pi$
$138$	1.06107	−	1.63391i	0.0903245	−	0.139088i
$139$	3.49526	+	10.7573i	0.296464	+	0.912423i	0.982726	+	0.185068i	$0.0592505\pi$
$139$	3.49526	+	10.7573i	0.296464	+	0.912423i	−0.686262	+	0.727355i	$0.740749\pi$
$140$	1.70123	+	5.66620i	0.143781	+	0.478881i
$141$	−2.18259	+	6.71731i	−0.183807	+	0.565699i
$142$	9.16045	+	11.3122i	0.768728	+	0.949300i
$143$	−0.880523	−	3.28616i	−0.0736330	−	0.274802i
$144$	−0.864894	−	1.94258i	−0.0720745	−	0.161882i
$145$	−0.844629	+	0.443594i	−0.0701427	+	0.0368384i
$146$	−9.12736	−	12.5627i	−0.755386	−	1.03970i
$147$	6.54160	+	0.113304i	0.539542	+	0.00934514i
$148$	2.90556	−	5.70248i	0.238835	−	0.468741i
$149$	3.29435	−	1.90199i	0.269884	−	0.155817i	−0.358951	−	0.933356i	$-0.616866\pi$
$149$	3.29435	−	1.90199i	0.269884	−	0.155817i	0.628835	+	0.777539i	$0.283532\pi$
$150$	3.71171	−	2.83949i	0.303059	−	0.231843i
$151$	−7.55838	+	13.0915i	−0.615092	+	1.06537i	0.375276	+	0.926913i	$0.377548\pi$
$151$	−7.55838	+	13.0915i	−0.615092	+	1.06537i	−0.990368	+	0.138458i	$0.955785\pi$
$152$	4.69372	−	0.245987i	0.380711	−	0.0199522i
$153$	0.308447	−	1.94746i	0.0249364	−	0.157443i
$154$	1.58008	+	8.95755i	0.127326	+	0.721820i
$155$	14.0366	−	3.94766i	1.12745	−	0.317084i
$156$	−0.0966798	+	0.919847i	−0.00774058	+	0.0736467i
$157$	9.96384	−	2.66980i	0.795201	−	0.213074i	0.161725	−	0.986836i	$-0.448294\pi$
$157$	9.96384	−	2.66980i	0.795201	−	0.213074i	0.633476	+	0.773762i	$0.281628\pi$
$158$	10.8096	+	4.14941i	0.859964	+	0.330109i
$159$	1.94334	−	0.413069i	0.154117	−	0.0327585i
$160$	2.22076	−	0.261200i	0.175566	−	0.0206496i
$161$	−5.11315	+	2.06625i	−0.402973	+	0.162843i
$162$	−0.863008	−	1.69375i	−0.0678043	−	0.133073i
$163$	14.6045	+	9.48426i	1.14391	+	0.742865i	0.970289	−	0.241948i	$-0.0777863\pi$
$163$	14.6045	+	9.48426i	1.14391	+	0.742865i	0.173622	+	0.984812i	$0.444453\pi$
$164$	0.951124	+	0.202168i	0.0742703	+	0.0157866i
$165$	6.17756	−	3.66916i	0.480922	−	0.285643i
$166$	−0.369352	−	1.73767i	−0.0286673	−	0.134869i
$167$	−1.79830	−	11.3540i	−0.139157	−	0.878601i	−0.954193	−	0.299191i	$-0.903283\pi$
$167$	−1.79830	−	11.3540i	−0.139157	−	0.878601i	0.815037	−	0.579410i	$-0.196717\pi$
$168$	0.471681	−	2.42746i	0.0363910	−	0.187283i
$169$	7.06561	−	9.72498i	0.543508	−	0.748075i
$170$	1.85891	+	0.918400i	0.142572	+	0.0704381i
$171$	9.93978	−	1.04471i	0.760114	−	0.0798912i
$172$	6.46508	+	5.23532i	0.492958	+	0.399189i
$173$	1.08614	+	20.7248i	0.0825777	+	1.57568i	0.654944	+	0.755677i	$0.272692\pi$
$173$	1.08614	+	20.7248i	0.0825777	+	1.57568i	−0.572366	+	0.819998i	$0.693974\pi$
$174$	0.398775			0.0302311
$175$	−13.2170	+	0.558612i	−0.999108	+	0.0422271i
$176$	3.43791			0.259142
$177$	−0.319144	−	6.08964i	−0.0239884	−	0.457725i
$178$	−3.34131	−	2.70574i	−0.250442	−	0.202804i
$179$	−0.305571	+	0.0321168i	−0.0228395	+	0.00240053i	−0.115941	−	0.993256i	$-0.536988\pi$
$179$	−0.305571	+	0.0321168i	−0.0228395	+	0.00240053i	0.0931018	+	0.995657i	$0.470322\pi$
$180$	4.68673	−	0.801804i	0.349328	−	0.0597630i
$181$	−13.6085	+	18.7304i	−1.01151	+	1.39222i	−0.0935185	+	0.995618i	$0.529811\pi$
$181$	−13.6085	+	18.7304i	−1.01151	+	1.39222i	−0.917990	+	0.396604i	$0.870189\pi$
$182$	1.71755	−	1.97608i	0.127313	−	0.146477i
$183$	0.916210	+	5.78472i	0.0677282	+	0.427619i
$184$	0.433376	+	2.03887i	0.0319489	+	0.150308i
$185$	10.7526	+	9.44371i	0.790549	+	0.694315i
$186$	−5.96158	−	1.26717i	−0.437124	−	0.0929137i
$187$	2.67352	+	1.73621i	0.195507	+	0.126964i
$188$	−3.43072	−	6.73316i	−0.250211	−	0.491066i
$189$	1.76344	−	12.5537i	0.128272	−	0.913146i
$190$	−2.05790	+	10.3064i	−0.149296	+	0.747708i
$191$	22.5770	−	4.79890i	1.63362	−	0.347236i	0.702423	−	0.711759i	$-0.252101\pi$
$191$	22.5770	−	4.79890i	1.63362	−	0.347236i	0.931194	+	0.364523i	$0.118768\pi$
$192$	−0.872574	−	0.334950i	−0.0629726	−	0.0241729i
$193$	−9.60966	+	2.57490i	−0.691719	+	0.185345i	−0.587518	−	0.809211i	$-0.699895\pi$
$193$	−9.60966	+	2.57490i	−0.691719	+	0.185345i	−0.104200	+	0.994556i	$0.533228\pi$
$194$	0.679951	−	6.46930i	0.0488176	−	0.464469i
$195$	−1.93982	−	0.717246i	−0.138913	−	0.0513630i
$196$	−5.03472	+	4.86329i	−0.359623	+	0.347378i
$197$	−0.0760704	+	0.480289i	−0.00541979	+	0.0342192i	−0.990250	−	0.139301i	$-0.955514\pi$
$197$	−0.0760704	+	0.480289i	−0.00541979	+	0.0342192i	0.984830	+	0.173521i	$0.0555143\pi$
$198$	7.30042	−	0.382599i	0.518819	−	0.0271901i
$199$	−2.02114	+	3.50071i	−0.143275	+	0.248159i	−0.928728	−	0.370762i	$-0.879097\pi$
$199$	−2.02114	+	3.50071i	−0.143275	+	0.248159i	0.785453	+	0.618921i	$0.212430\pi$
$200$	−0.659872	+	4.95627i	−0.0466600	+	0.350461i
$201$	−4.84915	+	2.79966i	−0.342033	+	0.197473i
$202$	−1.71661	+	3.36904i	−0.120780	+	0.237045i
$203$	−0.924722	−	0.647405i	−0.0649028	−	0.0454389i
$204$	−0.509410	−	0.701143i	−0.0356659	−	0.0490899i
$205$	−0.963088	+	1.94936i	−0.0672650	+	0.136149i
$206$	−7.40123	−	16.6234i	−0.515668	−	1.15821i
$207$	1.14718	+	4.28133i	0.0797345	+	0.297573i
$208$	−0.622762	−	0.769047i	−0.0431808	−	0.0533238i
$209$	−4.99332	+	15.3679i	−0.345395	+	1.06302i
$210$	4.99961	+	2.36202i	0.345006	+	0.162995i
$211$	−1.93951	−	5.96921i	−0.133522	−	0.410937i	0.861835	−	0.507188i	$-0.169315\pi$
$211$	−1.93951	−	5.96921i	−0.133522	−	0.410937i	−0.995357	+	0.0962505i	$0.969315\pi$
$212$	−1.15772	+	1.78272i	−0.0795122	+	0.122438i
$213$	13.5863	+	0.712026i	0.930916	+	0.0487872i
$214$	3.24006	−	15.2433i	0.221486	−	1.04201i
$215$	−14.9129	+	11.1191i	−1.01705	+	0.758314i
$216$	−4.55692	−	1.48063i	−0.310059	−	0.100744i
$217$	11.7671	+	12.6170i	0.798804	+	0.856497i
$218$	−9.42932	−	9.42932i	−0.638634	−	0.638634i
$219$	−14.4342	−	1.51709i	−0.975370	−	0.102516i
$220$	−1.89772	+	7.44948i	−0.127944	+	0.502244i
$221$	−0.0959143	−	0.912564i	−0.00645189	−	0.0613857i
$222$	−2.14369	−	5.58451i	−0.143875	−	0.374808i
$223$	0.992470	+	0.505689i	0.0664607	+	0.0338634i	0.486905	−	0.873455i	$-0.338126\pi$
$223$	0.992470	+	0.505689i	0.0664607	+	0.0338634i	−0.420444	+	0.907318i	$0.638126\pi$
$224$	1.47963	+	2.19333i	0.0988621	+	0.146548i
$225$	−0.849669	+	10.5981i	−0.0566446	+	0.706540i
$226$	6.20123	+	10.7408i	0.412500	+	0.714470i
$227$	−3.00681	−	4.63008i	−0.199569	−	0.307309i	0.724690	−	0.689075i	$-0.241983\pi$
$227$	−3.00681	−	4.63008i	−0.199569	−	0.307309i	−0.924259	+	0.381766i	$0.875316\pi$
$228$	2.76462	−	3.41402i	0.183091	−	0.226099i
$229$	24.2356	+	10.7904i	1.60154	+	0.713050i	0.996535	−	0.0831743i	$-0.0265058\pi$
$229$	24.2356	+	10.7904i	1.60154	+	0.713050i	0.605002	+	0.796224i	$0.293172\pi$
$230$	−4.65718	−	0.186388i	−0.307085	−	0.0122901i
$231$	7.20996	+	4.50461i	0.474380	+	0.296381i
$232$	−0.301691	+	0.301691i	−0.0198070	+	0.0198070i
$233$	−20.0255	+	16.2164i	−1.31192	+	1.06237i	−0.318486	+	0.947927i	$0.603175\pi$
$233$	−20.0255	+	16.2164i	−1.31192	+	1.06237i	−0.993430	+	0.114442i	$0.963492\pi$
$234$	−1.40803	−	1.56377i	−0.0920456	−	0.102227i
$235$	16.4836	−	3.71720i	1.07527	−	0.242484i
$236$	4.84853	+	4.36563i	0.315612	+	0.284179i
$237$	9.64248	−	4.91309i	0.626347	−	0.319140i
$238$	0.0429806	+	2.45291i	0.00278602	+	0.158998i
$239$	25.3951	−	8.25136i	1.64267	−	0.533736i	0.665538	−	0.746364i	$-0.268202\pi$
$239$	25.3951	−	8.25136i	1.64267	−	0.533736i	0.977133	+	0.212628i	$0.0682022\pi$
$240$	1.20745	−	1.70586i	0.0779406	−	0.110113i
$241$	6.75769	−	6.08465i	0.435301	−	0.391947i	−0.422139	−	0.906531i	$-0.638720\pi$
$241$	6.75769	−	6.08465i	0.435301	−	0.391947i	0.857440	+	0.514584i	$0.172054\pi$
$242$	−0.293577	+	0.764794i	−0.0188718	+	0.0491628i
$243$	−15.6007	−	4.18019i	−1.00078	−	0.268159i
$244$	−5.06955	−	3.68324i	−0.324545	−	0.235796i
$245$	−7.75892	−	13.5941i	−0.495699	−	0.868494i
$246$	0.735260	−	0.534198i	0.0468785	−	0.0340592i
$247$	4.34225	−	1.66683i	0.276291	−	0.106058i
$248$	5.46887	−	3.55153i	0.347274	−	0.225522i
$249$	−1.43795	−	0.830199i	−0.0911262	−	0.0526118i
$250$	−10.3753	−	4.16570i	−0.656192	−	0.263462i
$251$		−	19.2051i		−	1.21222i	−0.795382	−	0.606109i	$-0.792730\pi$
$251$		−	19.2051i		−	1.21222i	0.795382	−	0.606109i	$-0.207270\pi$
$252$	3.38610	+	4.49288i	0.213305	+	0.283025i
$253$	−7.07782	−	1.12102i	−0.444979	−	0.0704777i
$254$	2.02204	−	4.54158i	0.126874	−	0.284964i
$255$	1.80048	−	0.716793i	0.112750	−	0.0448873i
$256$	0.913545	−	0.406737i	0.0570966	−	0.0254210i
$257$	5.58689	−	20.8506i	0.348501	−	1.30062i	−0.539968	−	0.841686i	$-0.681564\pi$
$257$	5.58689	−	20.8506i	0.348501	−	1.30062i	0.888469	−	0.458937i	$-0.151770\pi$
$258$	7.67966	−	1.21634i	0.478115	−	0.0757259i
$259$	−4.09534	+	16.4302i	−0.254472	+	1.02092i
$260$	2.01018	−	0.924928i	0.124666	−	0.0573616i
$261$	−0.607068	+	0.674218i	−0.0375766	+	0.0417330i
$262$	−0.315353	+	6.01729i	−0.0194826	+	0.371749i
$263$	1.44743	−	27.6185i	0.0892521	−	1.70303i	−0.477085	−	0.878857i	$-0.658307\pi$
$263$	1.44743	−	27.6185i	0.0892521	−	1.70303i	0.566337	−	0.824174i	$-0.308360\pi$
$264$	2.15009	−	2.38791i	0.132329	−	0.146966i
$265$	−3.22386	−	3.49267i	−0.198040	−	0.214553i
$266$	−11.9535	+	3.42848i	−0.732916	+	0.210214i
$267$	−3.96903	+	0.628633i	−0.242901	+	0.0384717i
$268$	1.55053	−	5.78666i	0.0947138	−	0.353477i
$269$	−12.0758	+	5.37648i	−0.736273	+	0.327810i	−0.740386	−	0.672182i	$-0.765357\pi$
$269$	−12.0758	+	5.37648i	−0.736273	+	0.327810i	0.00411310	+	0.999992i	$0.498691\pi$
$270$	5.72374	−	9.05692i	0.348336	−	0.551187i
$271$	−8.70811	+	19.5587i	−0.528980	+	1.18811i	0.429531	+	0.903052i	$0.358679\pi$
$271$	−8.70811	+	19.5587i	−0.528980	+	1.18811i	−0.958511	+	0.285056i	$0.907988\pi$
$272$	0.915837	+	0.145054i	0.0555308	+	0.00879521i
$273$	−0.298389	−	2.42883i	−0.0180593	−	0.147000i
$274$			6.29270i			0.380156i
$275$	−15.0945	−	8.22420i	−0.910230	−	0.495938i
$276$	1.68720	+	0.974107i	0.101558	+	0.0586343i
$277$	3.49710	−	2.27105i	0.210121	−	0.136454i	−0.435288	−	0.900291i	$-0.643354\pi$
$277$	3.49710	−	2.27105i	0.210121	−	0.136454i	0.645409	+	0.763837i	$0.276687\pi$
$278$	−10.5596	+	4.05346i	−0.633325	+	0.243111i
$279$	11.2179	−	8.15032i	0.671601	−	0.487947i
$280$	−5.56940	+	1.99545i	−0.332835	+	0.119251i
$281$	−17.1369	−	12.4507i	−1.02230	−	0.742746i	−0.0555491	−	0.998456i	$-0.517691\pi$
$281$	−17.1369	−	12.4507i	−1.02230	−	0.742746i	−0.966754	+	0.255710i	$0.917691\pi$
$282$	−6.82233	−	1.82804i	−0.406264	−	0.108858i
$283$	7.14469	−	18.6126i	0.424708	−	1.10640i	−0.539671	−	0.841876i	$-0.681451\pi$
$283$	7.14469	−	18.6126i	0.424708	−	1.10640i	0.964379	−	0.264526i	$-0.0852155\pi$
$284$	−10.8173	+	9.73993i	−0.641888	+	0.577959i
$285$	5.87165	+	7.87509i	0.347807	+	0.466480i
$286$	3.23557	−	1.05130i	0.191323	−	0.0621647i
$287$	−2.57226	+	0.0450720i	−0.151836	+	0.00266052i
$288$	1.89466	−	0.965376i	0.111644	−	0.0568853i
$289$	−11.9945	−	10.7999i	−0.705559	−	0.635288i
$290$	−0.487190	−	0.820256i	−0.0286088	−	0.0481671i
$291$	−4.06822	−	4.51822i	−0.238483	−	0.264863i
$292$	12.0678	−	9.77233i	0.706216	−	0.571883i
$293$	−13.0360	+	13.0360i	−0.761570	+	0.761570i	−0.976606	−	0.215036i	$-0.931013\pi$
$293$	−13.0360	+	13.0360i	−0.761570	+	0.761570i	0.215036	+	0.976606i	$0.431013\pi$
$294$	0.229212	+	6.53856i	0.0133679	+	0.381337i
$295$	−12.1361	+	8.09628i	−0.706592	+	0.471383i
$296$	5.84673	+	2.60313i	0.339834	+	0.151304i
$297$	10.3665	−	12.8015i	0.601524	−	0.742820i
$298$	2.07180	+	3.19029i	0.120016	+	0.184809i
$299$	1.03135	+	1.78635i	0.0596445	+	0.103307i
$300$	3.02985	+	3.55801i	0.174929	+	0.205422i
$301$	−19.7831	−	9.64722i	−1.14028	−	0.556057i
$302$	−13.4691	−	6.86287i	−0.775061	−	0.394914i
$303$	1.26650	+	3.29935i	0.0727586	+	0.189543i
$304$	0.491301	+	4.67441i	0.0281780	+	0.268096i
$305$	10.7795	−	8.95188i	0.617231	−	0.512583i
$306$	1.96093	+	0.206102i	0.112099	+	0.0117821i
$307$	−3.61413	−	3.61413i	−0.206269	−	0.206269i	0.596410	−	0.802680i	$-0.296593\pi$
$307$	−3.61413	−	3.61413i	−0.206269	−	0.206269i	−0.802680	+	0.596410i	$0.796593\pi$
$308$	−8.86258	+	2.04672i	−0.504993	+	0.116622i
$309$	−16.1751	−	5.25562i	−0.920171	−	0.298982i
$310$	4.67687	+	13.8107i	0.265628	+	0.784397i
$311$	−0.467631	+	2.20003i	−0.0265169	+	0.124752i	−0.989415	−	0.145112i	$-0.953646\pi$
$311$	−0.467631	+	2.20003i	−0.0265169	+	0.124752i	0.962898	+	0.269865i	$0.0869790\pi$
$312$	−0.923646	−	0.0484062i	−0.0522912	−	0.00274046i
$313$	15.7006	−	24.1768i	0.887452	−	1.36656i	−0.0425862	−	0.999093i	$-0.513560\pi$
$313$	15.7006	−	24.1768i	0.887452	−	1.36656i	0.930038	−	0.367463i	$-0.119774\pi$
$314$	3.18761	+	9.81046i	0.179887	+	0.553636i
$315$	−11.6046	+	4.85716i	−0.653845	+	0.273670i
$316$	−3.57799	+	11.0119i	−0.201278	+	0.619470i
$317$	−21.7468	−	26.8550i	−1.22142	−	1.50833i	−0.798304	−	0.602255i	$-0.794269\pi$
$317$	−21.7468	−	26.8550i	−1.22142	−	1.50833i	−0.423118	−	0.906075i	$-0.639064\pi$
$318$	0.514209	+	1.91906i	0.0288354	+	0.107615i
$319$	−0.596602	−	1.33999i	−0.0334033	−	0.0750250i
$320$	0.377067	+	2.20405i	0.0210787	+	0.123210i
$321$	−8.56138	−	11.7837i	−0.477849	−	0.657703i
$322$	−2.33102	−	4.99801i	−0.129903	−	0.278528i
$323$	−1.97860	+	3.88322i	−0.110092	+	0.216068i
$324$	1.64626	−	0.950469i	0.0914589	−	0.0528038i
$325$	0.894574	+	4.86635i	0.0496220	+	0.269937i
$326$	−8.70692	+	15.0808i	−0.482232	+	0.835250i
$327$	−12.4466	+	0.652298i	−0.688298	+	0.0360722i
$328$	−0.152113	+	0.960401i	−0.00839901	+	0.0530293i
$329$	12.8526	+	15.3150i	0.708584	+	0.844343i
$330$	3.98744	+	5.97707i	0.219501	+	0.329027i
$331$	0.886098	−	8.43066i	0.0487043	−	0.463391i	−0.942804	−	0.333348i	$-0.891822\pi$
$331$	0.886098	−	8.43066i	0.0487043	−	0.463391i	0.991508	−	0.130043i	$-0.0415116\pi$
$332$	1.71595	−	0.459788i	0.0941752	−	0.0252342i
$333$	12.7053	+	4.87710i	0.696245	+	0.267263i
$334$	11.2443	−	2.39006i	0.615263	−	0.130778i
$335$	11.6830	+	6.55402i	0.638311	+	0.358084i
$336$	2.44882	+	0.343991i	0.133594	+	0.0187663i
$337$	−5.79063	−	11.3647i	−0.315436	−	0.619077i	0.677793	−	0.735253i	$-0.262937\pi$
$337$	−5.79063	−	11.3647i	−0.315436	−	0.619077i	−0.993229	+	0.116175i	$0.962937\pi$
$338$	10.0814	+	6.54696i	0.548358	+	0.356108i
$339$	11.3387	+	2.41011i	0.615833	+	0.130899i
$340$	−0.819854	+	1.90442i	−0.0444628	+	0.103282i
$341$	4.66100	+	21.9283i	0.252407	+	1.18748i
$342$	1.56349	+	9.87148i	0.0845438	+	0.533788i
$343$	10.0837	−	15.5344i	0.544470	−	0.838780i
$344$	−4.88979	+	6.73022i	−0.263640	+	0.362869i
$345$	−3.04209	+	3.11823i	−0.163781	+	0.167880i
$346$	−20.6395	+	2.16930i	−1.10959	+	0.116622i
$347$	10.1206	+	8.19548i	0.543301	+	0.439957i	0.861272	−	0.508144i	$-0.169668\pi$
$347$	10.1206	+	8.19548i	0.543301	+	0.439957i	−0.317971	+	0.948100i	$0.603001\pi$
$348$	0.0208703	+	0.398229i	0.00111876	+	0.0213473i
$349$	7.44069			0.398291			0.199145	−	0.979970i	$-0.436183\pi$
$349$	7.44069			0.398291			0.199145	+	0.979970i	$0.436183\pi$
$350$	−1.24957	−	13.1696i	−0.0667923	−	0.703945i
$351$	−4.74150			−0.253082
$352$	0.179926	+	3.43320i	0.00959010	+	0.182990i
$353$	6.40290	+	5.18497i	0.340792	+	0.275968i	0.784403	−	0.620251i	$-0.212969\pi$
$353$	6.40290	+	5.18497i	0.340792	+	0.275968i	−0.443611	+	0.896220i	$0.646303\pi$
$354$	6.06459	−	0.637414i	0.322329	−	0.0338782i
$355$	−15.1340	−	28.8160i	−0.803228	−	1.52940i
$356$	2.52716	−	3.47834i	0.133939	−	0.184351i
$357$	1.73063	+	1.50421i	0.0915945	+	0.0796111i
$358$	−0.0480652	−	0.303472i	−0.00254032	−	0.0160390i
$359$	2.11542	+	9.95228i	0.111648	+	0.525261i	0.998054	+	0.0623535i	$0.0198606\pi$
$359$	2.11542	+	9.95228i	0.111648	+	0.525261i	−0.886406	+	0.462908i	$0.846806\pi$
$360$	1.04599	+	4.63835i	0.0551285	+	0.244462i
$361$	−3.02396	−	0.642764i	−0.159156	−	0.0338297i
$362$	−19.4170	−	12.6095i	−1.02053	−	0.662742i
$363$	0.347608	+	0.682220i	0.0182447	+	0.0358073i
$364$	2.06326	+	1.61177i	0.108144	+	0.0844799i
$365$	14.5139	+	31.5436i	0.759692	+	1.65107i
$366$	−5.72884	+	1.21770i	−0.299451	+	0.0636504i
$367$	−6.11119	−	2.34587i	−0.319002	−	0.122453i	0.193598	−	0.981081i	$-0.437984\pi$
$367$	−6.11119	−	2.34587i	−0.319002	−	0.122453i	−0.512600	+	0.858628i	$0.671318\pi$
$368$	−2.01340	+	0.539488i	−0.104956	+	0.0281228i
$369$	−0.216131	+	2.05635i	−0.0112513	+	0.107049i
$370$	−8.86802	+	11.2321i	−0.461026	+	0.583931i
$371$	1.92315	−	5.28492i	0.0998450	−	0.274379i
$372$	0.953432	−	6.01973i	0.0494331	−	0.312108i
$373$	3.17419	−	0.166352i	0.164354	−	0.00861340i	0.0300183	−	0.999549i	$-0.490443\pi$
$373$	3.17419	−	0.166352i	0.164354	−	0.00861340i	0.134335	+	0.990936i	$0.457110\pi$
$374$	−1.59391	+	2.76073i	−0.0824189	+	0.142754i
$375$	−9.38220	+	4.60126i	−0.484495	+	0.237608i
$376$	6.54438	−	3.77840i	0.337501	−	0.194856i
$377$	−0.191679	+	0.376191i	−0.00987197	+	0.0193748i
$378$	12.6288	+	1.10402i	0.649554	+	0.0567846i
$379$	20.1348	+	27.7131i	1.03425	+	1.42353i	0.901705	+	0.432352i	$0.142316\pi$
$379$	20.1348	+	27.7131i	1.03425	+	1.42353i	0.132549	+	0.991176i	$0.457684\pi$
$380$	−10.4000	−	1.51569i	−0.533509	−	0.0777531i
$381$	−1.88991	−	4.24481i	−0.0968231	−	0.217468i
$382$	5.97391	+	22.2950i	0.305652	+	1.14071i
$383$	5.48379	+	6.77191i	0.280208	+	0.346029i	0.897747	−	0.440512i	$-0.145203\pi$
$383$	5.48379	+	6.77191i	0.280208	+	0.346029i	−0.617538	+	0.786541i	$0.711870\pi$
$384$	0.288824	−	0.888909i	0.0147390	−	0.0453619i
$385$	0.457176	−	20.3338i	0.0232998	−	1.03631i
$386$	−3.07430	−	9.46173i	−0.156478	−	0.481589i
$387$	−9.63451	+	14.8358i	−0.489750	+	0.754148i
$388$	6.49602	+	0.340442i	0.329785	+	0.0172833i
$389$	−4.38329	+	20.6217i	−0.222242	+	1.04556i	0.715603	+	0.698508i	$0.246152\pi$
$389$	−4.38329	+	20.6217i	−0.222242	+	1.04556i	−0.937844	+	0.347057i	$0.887181\pi$
$390$	0.614741	−	1.97469i	0.0311286	−	0.0999926i
$391$	−1.83819	−	0.597264i	−0.0929613	−	0.0302049i
$392$	−5.12012	−	4.77330i	−0.258605	−	0.241088i
$393$	3.98228	+	3.98228i	0.200880	+	0.200880i
$394$	−0.483612	−	0.0508297i	−0.0243640	−	0.00256076i
$395$	−21.8863	−	13.8316i	−1.10122	−	0.695943i
$396$	0.764149	+	7.27039i	0.0383999	+	0.365351i
$397$	−12.3640	−	32.2092i	−0.620529	−	1.61653i	−0.777466	−	0.628925i	$-0.783495\pi$
$397$	−12.3640	−	32.2092i	−0.620529	−	1.61653i	0.156937	−	0.987609i	$-0.449838\pi$
$398$	−3.60169	−	1.83515i	−0.180536	−	0.0919879i
$399$	−5.09442	+	10.4469i	−0.255040	+	0.522999i
$400$	−4.98401	−	0.399577i	−0.249200	−	0.0199788i
$401$	−10.8743	−	18.8348i	−0.543036	−	0.940566i	−0.998728	−	0.0504284i	$-0.983941\pi$
$401$	−10.8743	−	18.8348i	−0.543036	−	0.940566i	0.455692	−	0.890138i	$-0.349392\pi$
$402$	−3.04961	−	4.69598i	−0.152101	−	0.234214i
$403$	4.06096	−	5.01487i	0.202291	−	0.249808i
$404$	−3.45427	−	1.53794i	−0.171856	−	0.0765153i
$405$	1.15080	+	4.09188i	0.0571839	+	0.203327i
$406$	0.598121	−	0.957337i	0.0296843	−	0.0475119i
$407$	−15.5583	+	15.5583i	−0.771196	+	0.771196i
$408$	0.673522	−	0.545407i	0.0333443	−	0.0270017i
$409$	−16.5167	−	18.3436i	−0.816697	−	0.907034i	0.180367	−	0.983599i	$-0.442271\pi$
$409$	−16.5167	−	18.3436i	−0.816697	−	0.907034i	−0.997065	+	0.0765652i	$0.975605\pi$
$410$	−1.99709	−	0.859747i	−0.0986293	−	0.0424599i
$411$	4.37080	+	3.93549i	0.215596	+	0.194123i
$412$	16.2133	−	8.26109i	0.798772	−	0.406995i
$413$	−15.0981	−	8.36766i	−0.742926	−	0.411746i
$414$	−4.21543	+	1.36968i	−0.207177	+	0.0673159i
$415$	0.0490952	+	3.97204i	0.00240999	+	0.194980i
$416$	0.735400	−	0.662157i	0.0360560	−	0.0324649i
$417$	−3.78859	+	9.86960i	−0.185528	+	0.483317i
$418$	−15.6081	−	4.18218i	−0.763418	−	0.204557i
$419$	9.44651	+	6.86329i	0.461492	+	0.335294i	0.794116	−	0.607766i	$-0.207934\pi$
$419$	9.44651	+	6.86329i	0.461492	+	0.335294i	−0.332624	+	0.943059i	$0.607934\pi$
$420$	−2.09713	+	5.11637i	−0.102329	+	0.249653i
$421$	−25.6631	+	18.6454i	−1.25075	+	0.908719i	−0.998265	−	0.0588826i	$-0.981246\pi$
$421$	−25.6631	+	18.6454i	−1.25075	+	0.908719i	−0.252480	+	0.967602i	$0.581246\pi$
$422$	5.85952	−	2.24926i	0.285237	−	0.109492i
$423$	13.4766	−	8.75178i	0.655253	−	0.425526i
$424$	−1.84087	−	1.06283i	−0.0894006	−	0.0516155i
$425$	−3.67407	−	2.82775i	−0.178219	−	0.137166i
$426$			13.6049i			0.659160i
$427$	15.2616	+	6.47694i	0.738559	+	0.313441i
$428$	15.3920	+	2.43785i	0.743999	+	0.117838i
$429$	1.29333	−	2.90486i	0.0624425	−	0.140248i
$430$	−11.8843	−	14.3106i	−0.573112	−	0.690117i
$431$	18.2364	−	8.11938i	0.878418	−	0.391097i	0.0825642	−	0.996586i	$-0.473689\pi$
$431$	18.2364	−	8.11938i	0.878418	−	0.391097i	0.795854	+	0.605489i	$0.207022\pi$
$432$	1.24011	−	4.62817i	0.0596650	−	0.222673i
$433$	38.1689	−	6.04536i	1.83428	−	0.290522i	0.859080	−	0.511841i	$-0.171036\pi$
$433$	38.1689	−	6.04536i	1.83428	−	0.290522i	0.975201	+	0.221319i	$0.0710363\pi$
$434$	−11.9839	+	12.4113i	−0.575243	+	0.595762i
$435$	−0.874427	−	0.174598i	−0.0419256	−	0.00837136i
$436$	8.92290	−	9.90989i	0.427329	−	0.474597i
$437$	0.512742	−	9.78369i	0.0245278	−	0.468018i
$438$	0.759587	−	14.4938i	0.0362945	−	0.692540i
$439$	22.9332	−	25.4699i	1.09454	−	1.21561i	0.119679	−	0.992813i	$-0.461813\pi$
$439$	22.9332	−	25.4699i	1.09454	−	1.21561i	0.974864	−	0.222801i	$-0.0715199\pi$
$440$	−7.53859	−	1.50524i	−0.359388	−	0.0717596i
$441$	−11.4038	−	9.56633i	−0.543039	−	0.455540i
$442$	0.906293	−	0.143543i	0.0431080	−	0.00682763i
$443$	−4.56229	+	17.0267i	−0.216761	+	0.808963i	0.768778	+	0.639515i	$0.220865\pi$
$443$	−4.56229	+	17.0267i	−0.216761	+	0.808963i	−0.985539	+	0.169448i	$0.945802\pi$
$444$	5.46467	−	2.43303i	0.259342	−	0.115466i
$445$	6.14209	+	7.39604i	0.291163	+	0.350606i
$446$	−0.453054	+	1.01758i	−0.0214527	+	0.0481836i
$447$	3.51164	+	0.556189i	0.166095	+	0.0263068i
$448$	−2.11288	+	1.59239i	−0.0998244	+	0.0752336i
$449$		−	32.2439i		−	1.52168i	−0.648937	−	0.760842i	$-0.724786\pi$
$449$		−	32.2439i		−	1.52168i	0.648937	−	0.760842i	$-0.275214\pi$
$450$	−10.6281	−	0.293842i	−0.501011	−	0.0138518i
$451$	−2.89506	−	1.67146i	−0.136323	−	0.0787061i
$452$	−10.4016	+	6.75486i	−0.489249	+	0.317722i
$453$	−13.1905	+	5.06336i	−0.619744	+	0.237897i
$454$	4.46637	−	3.24500i	0.209617	−	0.152296i
$455$	−4.63141	+	3.58111i	−0.217124	+	0.167885i
$456$	3.55403	+	2.58215i	0.166433	+	0.120920i
$457$	8.30635	+	2.22568i	0.388555	+	0.104113i	0.447807	−	0.894130i	$-0.352205\pi$
$457$	8.30635	+	2.22568i	0.388555	+	0.104113i	−0.0592526	+	0.998243i	$0.518872\pi$
$458$	−9.50722	+	24.7672i	−0.444243	+	1.15729i
$459$	3.30170	−	2.97286i	0.154110	−	0.138761i
$460$	−0.0576054	−	4.66055i	−0.00268586	−	0.217299i
$461$	7.77087	−	2.52491i	0.361926	−	0.117597i	−0.122409	−	0.992480i	$-0.539062\pi$
$461$	7.77087	−	2.52491i	0.361926	−	0.117597i	0.484334	+	0.874883i	$0.339062\pi$
$462$	−4.12109	+	7.43583i	−0.191731	+	0.345946i
$463$	28.7275	−	14.6374i	1.33508	−	0.680257i	0.366841	−	0.930284i	$-0.380439\pi$
$463$	28.7275	−	14.6374i	1.33508	−	0.680257i	0.968239	+	0.250026i	$0.0804392\pi$
$464$	−0.317067	−	0.285488i	−0.0147195	−	0.0132535i
$465$	12.5176	+	5.38884i	0.580492	+	0.249901i
$466$	−17.2422	−	19.1494i	−0.798729	−	0.887078i
$467$	−3.33249	+	2.69860i	−0.154209	+	0.124876i	−0.703320	−	0.710873i	$-0.748300\pi$
$467$	−3.33249	+	2.69860i	−0.154209	+	0.124876i	0.549111	+	0.835750i	$0.314967\pi$
$468$	1.48794	−	1.48794i	0.0687800	−	0.0687800i
$469$	−0.552097	+	15.8405i	−0.0254935	+	0.731448i
$470$	4.57479	+	16.2665i	0.211019	+	0.750316i
$471$	8.80773	+	3.92145i	0.405839	+	0.180691i
$472$	−4.10590	+	5.07036i	−0.188989	+	0.233382i
$473$	−15.5767	−	23.9859i	−0.716215	−	1.10287i
$474$	5.41101	+	9.37214i	0.248536	+	0.430477i
$475$	9.02508	−	21.6988i	0.414099	−	0.995607i
$476$	−2.44729	+	0.171297i	−0.112172	+	0.00785138i
$477$	−4.02739	−	2.05206i	−0.184401	−	0.0939572i
$478$	9.56913	+	24.9284i	0.437682	+	1.14020i
$479$	2.68370	+	25.5337i	0.122621	+	1.16666i	0.866790	+	0.498673i	$0.166179\pi$
$479$	2.68370	+	25.5337i	0.122621	+	1.16666i	−0.744169	+	0.667991i	$0.767154\pi$
$480$	1.76671	+	1.11652i	0.0806391	+	0.0509618i
$481$	6.29865	+	0.662015i	0.287194	+	0.0301853i
$482$	6.42998	+	6.42998i	0.292878	+	0.292878i
$483$	−4.92936	−	1.50669i	−0.224294	−	0.0685570i
$484$	−0.779111	−	0.253148i	−0.0354141	−	0.0115067i
$485$	−4.32348	+	13.8881i	−0.196319	+	0.630624i
$486$	3.35798	−	15.7981i	0.152321	−	0.716615i
$487$	−28.4045	−	1.48862i	−1.28713	−	0.0674557i	−0.603547	−	0.797328i	$-0.706246\pi$
$487$	−28.4045	−	1.48862i	−1.28713	−	0.0674557i	−0.683584	+	0.729872i	$0.739580\pi$
$488$	3.41288	−	5.25537i	0.154494	−	0.237899i
$489$	5.02953	+	15.4793i	0.227443	+	0.699999i
$490$	13.1694	−	8.45974i	0.594932	−	0.382172i
$491$	−0.530928	+	1.63403i	−0.0239604	+	0.0737426i	−0.962322	−	0.271913i	$-0.912344\pi$
$491$	−0.530928	+	1.63403i	−0.0239604	+	0.0737426i	0.938361	+	0.345656i	$0.112344\pi$
$492$	0.571946	+	0.706295i	0.0257853	+	0.0318422i
$493$	−0.102393	−	0.382137i	−0.00461157	−	0.0172106i
$494$	1.89181	+	4.24906i	0.0851164	+	0.191174i
$495$	−16.1758	−	2.35744i	−0.727046	−	0.105959i
$496$	3.83288	+	5.27550i	0.172101	+	0.236877i
$497$	22.0874	−	31.5485i	0.990753	−	1.41514i
$498$	0.753805	−	1.47943i	0.0337788	−	0.0662947i
$499$	−2.51797	+	1.45375i	−0.112720	+	0.0650787i	−0.555300	−	0.831650i	$-0.687397\pi$
$499$	−2.51797	+	1.45375i	−0.112720	+	0.0650787i	0.442580	+	0.896729i	$0.354063\pi$
$500$	3.61699	−	10.5791i	0.161757	−	0.473112i
$501$	5.37218	−	9.30489i	0.240011	−	0.415712i
$502$	19.1788	−	1.00512i	0.855993	−	0.0448607i
$503$	1.03004	−	6.50344i	0.0459274	−	0.289974i	−0.954025	−	0.299727i	$-0.903104\pi$
$503$	1.03004	−	6.50344i	0.0459274	−	0.289974i	0.999952	+	0.00975285i	$0.00310448\pi$
$504$	−4.30951	+	3.61660i	−0.191961	+	0.161096i
$505$	5.23925	−	6.63599i	0.233144	−	0.295297i
$506$	0.749056	−	7.12679i	0.0332996	−	0.316825i
$507$	10.8524	−	2.90789i	0.481972	−	0.129144i
$508$	4.64119	+	1.78158i	0.205919	+	0.0790450i
$509$	29.2167	−	6.21019i	1.29501	−	0.275262i	0.491666	−	0.870784i	$-0.336388\pi$
$509$	29.2167	−	6.21019i	1.29501	−	0.275262i	0.803339	+	0.595522i	$0.203055\pi$
$510$	0.810040	+	1.76049i	0.0358692	+	0.0779560i
$511$	−25.2918	+	32.3765i	−1.11884	+	1.43225i
$512$	0.453990	+	0.891007i	0.0200637	+	0.0393773i
$513$	18.8873	+	12.2655i	0.833894	+	0.541537i
$514$	21.1144	+	4.48800i	0.931316	+	0.197957i
$515$	8.95094	+	39.6921i	0.394426	+	1.74904i
$516$	1.61659	+	7.60548i	0.0711666	+	0.334812i
$517$	4.06410	+	25.6597i	0.178739	+	1.12851i
$518$	−16.6220	−	3.22984i	−0.730330	−	0.141911i
$519$	−11.4013	+	15.6926i	−0.500462	+	0.688827i
$520$	1.02887	+	1.95902i	0.0451187	+	0.0859088i
$521$	32.1622	−	3.38038i	1.40905	−	0.148097i	0.630749	−	0.775987i	$-0.282748\pi$
$521$	32.1622	−	3.38038i	1.40905	−	0.148097i	0.778302	+	0.627890i	$0.216081\pi$
$522$	−0.705065	−	0.570951i	−0.0308599	−	0.0249898i
$523$	−0.451169	−	8.60882i	−0.0197283	−	0.376438i	−0.990596	−	0.136821i	$-0.956312\pi$
$523$	−0.451169	−	8.60882i	−0.0197283	−	0.376438i	0.970868	−	0.239617i	$-0.0770218\pi$
$524$	−6.02555			−0.263227
$525$	−9.92887	−	7.36842i	−0.433332	−	0.321584i
$526$	27.6564			1.20588
$527$	0.316450	+	6.03822i	0.0137848	+	0.263029i
$528$	2.49717	+	2.02217i	0.108675	+	0.0880035i
$529$	−18.5530	+	1.95000i	−0.806652	+	0.0847825i
$530$	3.31916	−	3.40224i	0.144175	−	0.147784i
$531$	−8.15464	+	11.2239i	−0.353881	+	0.487076i
$532$	−4.04938	−	11.7577i	−0.175563	−	0.509760i
$533$	0.150527	+	0.950392i	0.00652006	+	0.0411661i
$534$	−0.835494	−	3.93069i	−0.0361554	−	0.170098i
$535$	−13.7788	+	32.0066i	−0.595710	+	1.38377i
$536$	5.85988	+	1.24556i	0.253108	+	0.0537998i
$537$	−0.240847	−	0.156408i	−0.0103933	−	0.00674949i
$538$	−6.00111	−	11.7778i	−0.258726	−	0.507779i
$539$	21.6284	−	10.5525i	0.931600	−	0.454527i
$540$	9.34406	+	5.24190i	0.402104	+	0.225575i
$541$	42.7839	−	9.09400i	1.83942	−	0.390982i	0.848926	−	0.528512i	$-0.177250\pi$
$541$	42.7839	−	9.09400i	1.83942	−	0.390982i	0.990498	+	0.137530i	$0.0439165\pi$
$542$	−19.9877	−	7.67255i	−0.858544	−	0.329564i
$543$	−20.9018	+	5.60063i	−0.896984	+	0.240346i
$544$	−0.0969244	+	0.922174i	−0.00415560	+	0.0395379i
$545$	16.5479	+	24.8049i	0.708836	+	1.06253i
$546$	2.40989	−	0.425095i	0.103134	−	0.0181924i
$547$	−6.24525	+	39.4309i	−0.267028	+	1.68595i	0.381195	+	0.924495i	$0.375513\pi$
$547$	−6.24525	+	39.4309i	−0.267028	+	1.68595i	−0.648223	+	0.761451i	$0.724487\pi$
$548$	−6.28408	+	0.329335i	−0.268443	+	0.0140685i
$549$	6.66241	−	11.5396i	0.284345	−	0.492499i
$550$	7.42294	−	15.5042i	0.316515	−	0.661101i
$551$	1.73668	−	1.00267i	0.0739852	−	0.0427154i
$552$	−0.884470	+	1.73587i	−0.0376456	+	0.0738836i
$553$	2.66789	−	30.5178i	0.113450	−	1.29775i
$554$	2.45096	+	3.37345i	0.104131	+	0.143324i
$555$	2.25555	+	13.1842i	0.0957428	+	0.559639i
$556$	−4.60056	−	10.3330i	−0.195107	−	0.438218i
$557$	−1.79321	−	6.69235i	−0.0759808	−	0.283564i	0.917473	−	0.397798i	$-0.130225\pi$
$557$	−1.79321	−	6.69235i	−0.0759808	−	0.283564i	−0.993454	+	0.114234i	$0.963559\pi$
$558$	8.72625	+	10.7760i	0.369412	+	0.456185i
$559$	−2.54392	+	7.82939i	−0.107597	+	0.331148i
$560$	−2.28419	−	5.45733i	−0.0965248	−	0.230614i
$561$	0.920716	+	2.83367i	0.0388727	+	0.119638i
$562$	11.5368	−	17.7651i	0.486649	−	0.749373i
$563$	23.0012	+	1.20544i	0.969383	+	0.0508032i	0.530450	−	0.847716i	$-0.322023\pi$
$563$	23.0012	+	1.20544i	0.969383	+	0.0508032i	0.438933	+	0.898520i	$0.355356\pi$
$564$	1.46848	−	6.90865i	0.0618341	−	0.290907i
$565$	−8.89521	−	26.2675i	−0.374224	−	1.10508i
$566$	18.9610	+	6.16080i	0.796989	+	0.258958i
$567$	−3.67805	+	3.43030i	−0.154463	+	0.144059i
$568$	−10.2927	−	10.2927i	−0.431873	−	0.431873i
$569$	22.8341	+	2.39996i	0.957256	+	0.100612i	0.570255	−	0.821468i	$-0.306844\pi$
$569$	22.8341	+	2.39996i	0.957256	+	0.100612i	0.387001	+	0.922079i	$0.373511\pi$
$570$	−7.55700	+	6.27576i	−0.316528	+	0.262862i
$571$	−3.37074	−	32.0704i	−0.141061	−	1.34211i	−0.804535	−	0.593906i	$-0.797585\pi$
$571$	−3.37074	−	32.0704i	−0.141061	−	1.34211i	0.663474	−	0.748200i	$-0.269082\pi$
$572$	1.21920	+	3.17612i	0.0509772	+	0.132800i
$573$	19.2218	+	9.79400i	0.803003	+	0.409150i
$574$	−0.179632	−	2.56638i	−0.00749769	−	0.107118i
$575$	10.1306	+	2.44779i	0.422474	+	0.102080i
$576$	1.06321	+	1.84154i	0.0443005	+	0.0767307i
$577$	7.14766	+	11.0064i	0.297561	+	0.458204i	0.955552	−	0.294822i	$-0.0952603\pi$
$577$	7.14766	+	11.0064i	0.297561	+	0.458204i	−0.657991	+	0.753026i	$0.728594\pi$
$578$	10.1574	−	12.5433i	0.422490	−	0.521732i
$579$	−8.49465	−	3.78206i	−0.353025	−	0.157177i
$580$	0.793634	−	0.529451i	0.0329539	−	0.0219843i
$581$	−4.14983	+	2.20686i	−0.172164	+	0.0915560i
$582$	4.29911	−	4.29911i	0.178204	−	0.178204i
$583$	5.67923	−	4.59895i	0.235210	−	0.190469i
$584$	10.3905	+	11.5398i	0.429963	+	0.477522i
$585$	2.40282	+	4.04550i	0.0993444	+	0.167261i
$586$	−13.7004	−	12.3359i	−0.565957	−	0.509590i
$587$	4.05074	−	2.06396i	0.167192	−	0.0851886i	−0.368392	−	0.929671i	$-0.620092\pi$
$587$	4.05074	−	2.06396i	0.167192	−	0.0851886i	0.535584	+	0.844482i	$0.320092\pi$
$588$	−6.51760	+	0.571100i	−0.268781	+	0.0235518i
$589$	−29.1491	+	9.47112i	−1.20107	+	0.390251i
$590$	−8.72033	−	11.6958i	−0.359010	−	0.481507i
$591$	−0.337759	+	0.304120i	−0.0138936	+	0.0125098i
$592$	−2.29357	+	5.97495i	−0.0942651	+	0.245569i
$593$	−14.6687	−	3.93047i	−0.602372	−	0.161405i	−0.0552705	−	0.998471i	$-0.517602\pi$
$593$	−14.6687	−	3.93047i	−0.602372	−	0.161405i	−0.547101	+	0.837066i	$0.684269\pi$
$594$	13.3265	+	9.68229i	0.546794	+	0.397269i
$595$	0.979725	−	5.39751i	0.0401648	−	0.221276i
$596$	−3.07749	+	2.23593i	−0.126059	+	0.0915872i
$597$	−3.52718	+	1.35396i	−0.144358	+	0.0554138i
$598$	−1.72993	+	1.12343i	−0.0707419	+	0.0459403i
$599$	−13.7531	−	7.94033i	−0.561934	−	0.324433i	0.191987	−	0.981397i	$-0.438507\pi$
$599$	−13.7531	−	7.94033i	−0.561934	−	0.324433i	−0.753922	+	0.656964i	$0.771840\pi$
$600$	−3.39457	+	3.21191i	−0.138583	+	0.131126i
$601$		−	27.0937i		−	1.10518i	−0.833454	−	0.552588i	$-0.813640\pi$
$601$		−	27.0937i		−	1.10518i	0.833454	−	0.552588i	$-0.186360\pi$
$602$	8.59864	−	20.2609i	0.350454	−	0.825773i
$603$	12.5821	+	1.99281i	0.512383	+	0.0811536i
$604$	6.14854	−	13.8098i	0.250181	−	0.561915i
$605$	0.978606	−	1.54849i	0.0397860	−	0.0629550i
$606$	−3.22854	+	1.43744i	−0.131151	+	0.0583920i
$607$	2.35924	−	8.80479i	0.0957584	−	0.357375i	−0.901375	−	0.433040i	$-0.857441\pi$
$607$	2.35924	−	8.80479i	0.0957584	−	0.357375i	0.997133	+	0.0756642i	$0.0241077\pi$
$608$	−4.64230	+	0.735267i	−0.188270	+	0.0298190i
$609$	−0.290882	−	1.01417i	−0.0117871	−	0.0410962i
$610$	9.50377	+	10.2962i	0.384796	+	0.416881i
$611$	5.00379	−	5.55728i	0.202432	−	0.224823i
$612$	−0.103192	+	1.96903i	−0.00417131	+	0.0795933i
$613$	−0.628218	+	11.9871i	−0.0253735	+	0.484155i	0.956158	+	0.292853i	$0.0946045\pi$
$613$	−0.628218	+	11.9871i	−0.0253735	+	0.484155i	−0.981531	+	0.191303i	$0.938729\pi$
$614$	3.42003	−	3.79833i	0.138021	−	0.153288i
$615$	−1.84616	+	0.849456i	−0.0744443	+	0.0342534i
$616$	−2.50774	−	8.74332i	−0.101040	−	0.352278i
$617$	−8.38830	+	1.32858i	−0.337700	+	0.0534865i	−0.322982	−	0.946405i	$-0.604685\pi$
$617$	−8.38830	+	1.32858i	−0.337700	+	0.0534865i	−0.0147186	+	0.999892i	$0.504685\pi$
$618$	4.40187	−	16.4280i	0.177069	−	0.660832i
$619$	−28.1371	+	12.5274i	−1.13092	+	0.503520i	−0.884917	−	0.465748i	$-0.845785\pi$
$619$	−28.1371	+	12.5274i	−1.13092	+	0.503520i	−0.246007	+	0.969268i	$0.579119\pi$
$620$	−13.5470	+	5.39325i	−0.544062	+	0.216598i
$621$	−4.06223	+	9.12391i	−0.163012	+	0.366130i
$622$	−2.22149	−	0.351850i	−0.0890737	−	0.0141079i
$623$	−4.44398	+	10.4713i	−0.178044	+	0.419524i
$624$		−	0.924914i		−	0.0370262i
$625$	20.9269	+	13.6772i	0.837076	+	0.547087i
$626$	24.9654	+	14.4138i	0.997819	+	0.576091i
$627$	−12.6663	+	8.22558i	−0.505843	+	0.328498i
$628$	−9.63019	+	3.69668i	−0.384286	+	0.147514i
$629$	−4.80108	+	3.48819i	−0.191432	+	0.139083i
$630$	−5.45784	−	11.3345i	−0.217446	−	0.451577i
$631$	6.42948	+	4.67129i	0.255954	+	0.185961i	0.708361	−	0.705850i	$-0.249435\pi$
$631$	6.42948	+	4.67129i	0.255954	+	0.185961i	−0.452408	+	0.891811i	$0.649435\pi$
$632$	−11.1841	−	2.99677i	−0.444880	−	0.119205i
$633$	2.10228	−	5.47663i	0.0835581	−	0.217676i
$634$	25.6801	−	23.1225i	1.01989	−	0.918311i
$635$	−6.42238	+	9.07338i	−0.254864	+	0.360066i
$636$	−1.88951	+	0.613940i	−0.0749241	+	0.0243443i
$637$	−6.27843	−	2.92665i	−0.248761	−	0.115958i
$638$	1.30693	−	0.665914i	0.0517418	−	0.0263638i
$639$	−23.0021	−	20.7112i	−0.909950	−	0.819323i
$640$	−2.18129	+	0.491901i	−0.0862231	+	0.0194441i
$641$	−25.4873	−	28.3065i	−1.00669	−	1.11804i	−0.992998	−	0.118133i	$-0.962309\pi$
$641$	−25.4873	−	28.3065i	−1.00669	−	1.11804i	−0.0136895	−	0.999906i	$-0.504358\pi$
$642$	11.3195	−	9.16636i	0.446745	−	0.361767i
$643$	10.0739	−	10.0739i	0.397276	−	0.397276i	−0.479995	−	0.877271i	$-0.659362\pi$
$643$	10.0739	−	10.0739i	0.397276	−	0.397276i	0.877271	+	0.479995i	$0.159362\pi$
$644$	4.86916	−	2.58940i	0.191872	−	0.102037i
$645$	−17.3724	−	0.695272i	−0.684037	−	0.0273763i
$646$	−3.98145	−	1.77266i	−0.156648	−	0.0697442i
$647$	−15.2029	+	18.7740i	−0.597686	+	0.738081i	−0.982777	−	0.184798i	$-0.940837\pi$
$647$	−15.2029	+	18.7740i	−0.597686	+	0.738081i	0.385090	+	0.922879i	$0.374170\pi$
$648$	1.03533	+	1.59426i	0.0406714	+	0.0626285i
$649$	−11.2150	−	19.4250i	−0.440229	−	0.762498i
$650$	−4.81287	+	1.14803i	−0.188776	+	0.0450296i
$651$	1.12592	+	16.0859i	0.0441283	+	0.630455i
$652$	−15.5158	−	7.90572i	−0.607648	−	0.309612i
$653$	−3.73468	−	9.72918i	−0.146149	−	0.380732i	0.840891	−	0.541205i	$-0.182032\pi$
$653$	−3.73468	−	9.72918i	−0.146149	−	0.380732i	−0.987040	+	0.160472i	$0.948698\pi$
$654$	−1.30281	−	12.3954i	−0.0509438	−	0.484698i
$655$	3.32609	−	13.0565i	0.129961	−	0.510161i
$656$	−0.967045	−	0.101641i	−0.0377568	−	0.00396840i
$657$	23.3486	+	23.3486i	0.910916	+	0.910916i
$658$	−14.6213	+	13.6365i	−0.569999	+	0.531605i
$659$	−10.0404	−	3.26234i	−0.391120	−	0.127083i	0.106854	−	0.994275i	$-0.465922\pi$
$659$	−10.0404	−	3.26234i	−0.391120	−	0.127083i	−0.497974	+	0.867192i	$0.665922\pi$
$660$	−5.76019	+	4.29479i	−0.224215	+	0.167174i
$661$	−6.36679	+	29.9534i	−0.247639	+	1.16505i	0.661951	+	0.749547i	$0.269729\pi$
$661$	−6.36679	+	29.9534i	−0.247639	+	1.16505i	−0.909591	+	0.415505i	$0.863605\pi$
$662$	8.46548	+	0.443657i	0.329020	+	0.0172432i
$663$	0.467098	−	0.719268i	0.0181406	−	0.0279341i
$664$	0.548964	+	1.68954i	0.0213039	+	0.0655668i
$665$	27.7126	−	2.28423i	1.07465	−	0.0885787i
$666$	−4.20547	+	12.9431i	−0.162959	+	0.501535i
$667$	0.559673	+	0.691139i	0.0216706	+	0.0267610i
$668$	2.97527	+	11.1039i	0.115117	+	0.429621i
$669$	0.423448	+	0.951081i	0.0163715	+	0.0367709i
$670$	−5.93359	+	12.0100i	−0.229235	+	0.463987i
$671$	12.6627	+	17.4286i	0.488836	+	0.672825i
$672$	−0.215358	+	2.46347i	−0.00830763	+	0.0950303i
$673$	−8.85040	+	17.3699i	−0.341158	+	0.669560i	−0.996300	−	0.0859456i	$-0.972609\pi$
$673$	−8.85040	+	17.3699i	−0.341158	+	0.669560i	0.655142	+	0.755506i	$0.272609\pi$
$674$	11.0461	−	6.37748i	0.425480	−	0.245651i
$675$	−16.5164	+	17.3538i	−0.635716	+	0.667948i
$676$	−6.01037	+	10.4103i	−0.231168	+	0.400395i
$677$	3.06092	−	0.160416i	0.117641	−	0.00616529i	0.00657532	−	0.999978i	$-0.497907\pi$
$677$	3.06092	−	0.160416i	0.117641	−	0.00616529i	0.111066	+	0.993813i	$0.464574\pi$
$678$	−1.81339	+	11.4493i	−0.0696428	+	0.439707i
$679$	−16.9488	+	2.98970i	−0.650434	+	0.114734i
$680$	−1.94472	−	0.719060i	−0.0745767	−	0.0275747i
$681$	0.539364	−	5.13171i	0.0206685	−	0.196647i
$682$	−21.6543	+	5.80225i	−0.829186	+	0.222180i
$683$	7.63095	+	2.92925i	0.291990	+	0.112085i	0.499954	−	0.866052i	$-0.333350\pi$
$683$	7.63095	+	2.92925i	0.291990	+	0.112085i	−0.207964	+	0.978137i	$0.566684\pi$
$684$	−9.77612	+	2.07798i	−0.373799	+	0.0794535i
$685$	2.75518	−	13.7985i	0.105270	−	0.527215i
$686$	16.0409	+	9.25689i	0.612444	+	0.353430i
$687$	11.2570	+	22.0931i	0.429481	+	0.842903i
$688$	−6.97690	−	4.53085i	−0.265992	−	0.172737i
$689$	−2.05754	−	0.437343i	−0.0783859	−	0.0166614i
$690$	−3.27317	−	2.87472i	−0.124607	−	0.109439i
$691$	1.64826	+	7.75447i	0.0627029	+	0.294994i	0.998314	−	0.0580373i	$-0.0184842\pi$
$691$	1.64826	+	7.75447i	0.0627029	+	0.294994i	−0.935611	+	0.353031i	$0.885151\pi$
$692$	−3.24652	−	20.4977i	−0.123414	−	0.779206i
$693$	−6.29824	−	18.2874i	−0.239250	−	0.694682i
$694$	−7.65458	+	10.5356i	−0.290564	+	0.399927i
$695$	24.9297	−	4.26497i	0.945639	−	0.161780i
$696$	−0.396591	+	0.0416833i	−0.0150327	+	0.00158000i
$697$	−0.700702	−	0.567418i	−0.0265410	−	0.0214925i
$698$	0.389416	+	7.43049i	0.0147396	+	0.281248i
$699$	−24.0842			−0.910948
$700$	13.0862	−	1.93710i	0.494610	−	0.0732155i
$701$	−45.4601			−1.71701			−0.858503	−	0.512809i	$-0.828605\pi$
$701$	−45.4601			−1.71701			−0.858503	+	0.512809i	$0.828605\pi$
$702$	−0.248151	−	4.73500i	−0.00936585	−	0.178711i
$703$	−23.3775	−	18.9307i	−0.881699	−	0.713986i
$704$	−3.41907	+	0.359359i	−0.128861	+	0.0135439i
$705$	14.1595	+	6.99556i	0.533278	+	0.263468i
$706$	−4.84276	+	6.66549i	−0.182260	+	0.250859i
$707$	9.82035	+	1.90820i	0.369332	+	0.0717651i
$708$	0.953937	+	6.02292i	0.0358511	+	0.226355i
$709$	−9.45353	−	44.4754i	−0.355035	−	1.67031i	−0.686723	−	0.726919i	$-0.740952\pi$
$709$	−9.45353	−	44.4754i	−0.355035	−	1.67031i	0.331688	−	0.943389i	$-0.392382\pi$
$710$	27.9845	−	16.6214i	1.05024	−	0.623788i
$711$	−24.0830	−	5.11901i	−0.903184	−	0.191978i
$712$	3.60583	+	2.34165i	0.135134	+	0.0877572i
$713$	−6.17076	−	12.1108i	−0.231097	−	0.453553i
$714$	−1.41157	+	1.80698i	−0.0528267	+	0.0676245i
$715$	−7.55520	+	0.888622i	−0.282549	+	0.0332326i
$716$	0.300540	−	0.0638818i	0.0112317	−	0.00238738i
$717$	23.2995	+	8.94382i	0.870134	+	0.334013i
$718$	−9.82793	+	2.63339i	−0.366775	+	0.0982771i
$719$	−3.72334	+	35.4252i	−0.138857	+	1.32114i	0.674025	+	0.738708i	$0.264564\pi$
$719$	−3.72334	+	35.4252i	−0.138857	+	1.32114i	−0.812882	+	0.582428i	$0.802103\pi$
$720$	−4.57725	+	1.28731i	−0.170584	+	0.0479752i
$721$	−36.8781	+	30.9487i	−1.37341	+	1.15259i
$722$	0.483621	−	3.05346i	0.0179985	−	0.113638i
$723$	8.48750	−	0.444811i	0.315654	−	0.0165427i
$724$	11.5760	−	20.0503i	0.430220	−	0.745163i
$725$	0.709164	+	2.01195i	0.0263377	+	0.0747221i
$726$	−0.663093	+	0.382837i	−0.0246097	+	0.0142084i
$727$	5.90291	−	11.5851i	0.218927	−	0.429668i	−0.755256	−	0.655430i	$-0.772487\pi$
$727$	5.90291	−	11.5851i	0.218927	−	0.429668i	0.974182	+	0.225762i	$0.0724873\pi$
$728$	−1.50158	+	2.14479i	−0.0556523	+	0.0794911i
$729$	−5.52094	−	7.59892i	−0.204479	−	0.281442i
$730$	−30.7408	+	16.1449i	−1.13777	+	0.597548i
$731$	−3.13749	−	7.04693i	−0.116044	−	0.260640i
$732$	−1.51586	−	5.65726i	−0.0560278	−	0.209098i
$733$	25.2511	+	31.1825i	0.932671	+	1.15175i	0.988181	+	0.153294i	$0.0489882\pi$
$733$	25.2511	+	31.1825i	0.932671	+	1.15175i	−0.0555100	+	0.998458i	$0.517678\pi$
$734$	2.02282	−	6.22559i	0.0746635	−	0.229791i
$735$	2.36021	−	14.4380i	0.0870577	−	0.532554i
$736$	−0.644122	−	1.98240i	−0.0237426	−	0.0730724i
$737$	−11.2173	+	17.2731i	−0.413193	+	0.636262i
$738$	−2.06484	−	0.108214i	−0.0760078	−	0.00398340i
$739$	−4.78623	+	22.5174i	−0.176064	+	0.828317i	0.798109	+	0.602513i	$0.205834\pi$
$739$	−4.78623	+	22.5174i	−0.176064	+	0.828317i	−0.974173	+	0.225803i	$0.927499\pi$
$740$	−11.6809	−	8.26802i	−0.429397	−	0.303938i
$741$	4.13447	+	1.34337i	0.151884	+	0.0493500i
$742$	5.37833	+	1.64392i	0.197445	+	0.0603504i
$743$	15.9493	+	15.9493i	0.585122	+	0.585122i	0.936306	−	0.351185i	$-0.114221\pi$
$743$	15.9493	+	15.9493i	0.585122	+	0.585122i	−0.351185	+	0.936306i	$0.614221\pi$
$744$	6.06138	+	0.637077i	0.222221	+	0.0233564i
$745$	−3.14618	−	7.90273i	−0.115267	−	0.289534i
$746$	0.332249	+	3.16114i	0.0121645	+	0.115737i
$747$	1.35376	+	3.52665i	0.0495313	+	0.129034i
$748$	−2.84036	−	1.44724i	−0.103854	−	0.0529162i
$749$	−41.1303	+	2.87889i	−1.50287	+	0.105192i
$750$	−5.08598	−	9.12853i	−0.185714	−	0.333327i
$751$	5.64194	+	9.77212i	0.205877	+	0.356590i	0.950412	−	0.310994i	$-0.100662\pi$
$751$	5.64194	+	9.77212i	0.205877	+	0.356590i	−0.744535	+	0.667584i	$0.767329\pi$
$752$	4.11573	+	6.33767i	0.150085	+	0.231111i
$753$	11.2964	−	13.9499i	0.411664	−	0.508362i
$754$	−0.385707	−	0.171728i	−0.0140466	−	0.00625396i
$755$	26.5301	+	20.9461i	0.965528	+	0.762305i
$756$	−0.441566	+	12.6692i	−0.0160596	+	0.460776i
$757$	−4.13285	+	4.13285i	−0.150211	+	0.150211i	−0.778212	−	0.628001i	$-0.783873\pi$
$757$	−4.13285	+	4.13285i	−0.150211	+	0.150211i	0.628001	+	0.778212i	$0.283873\pi$
$758$	−26.6214	+	21.5576i	−0.966932	+	0.783006i
$759$	−4.48169	−	4.97742i	−0.162675	−	0.180669i
$760$	0.969315	−	10.4651i	0.0351608	−	0.379609i
$761$	1.89671	+	1.70780i	0.0687556	+	0.0619078i	0.702792	−	0.711395i	$-0.251936\pi$
$761$	1.89671	+	1.70780i	0.0687556	+	0.0619078i	−0.634036	+	0.773303i	$0.718603\pi$
$762$	4.14008	−	2.10948i	0.149979	−	0.0764183i
$763$	−17.1026	+	30.8588i	−0.619157	+	1.11717i
$764$	−21.9517	+	7.13255i	−0.794186	+	0.258047i
$765$	−4.20966	−	1.31051i	−0.152200	−	0.0473814i
$766$	−6.47563	+	5.83069i	−0.233974	+	0.210671i
$767$	−2.31375	+	6.02752i	−0.0835446	+	0.217641i
$768$	0.902806	+	0.241906i	0.0325772	+	0.00872904i
$769$	−25.9008	−	18.8181i	−0.934008	−	0.678596i	0.0129631	−	0.999916i	$-0.495874\pi$
$769$	−25.9008	−	18.8181i	−0.934008	−	0.678596i	−0.946971	+	0.321320i	$0.895874\pi$
$770$	20.3299	−	0.607639i	0.732637	−	0.0218978i
$771$	16.3223	−	11.8589i	0.587835	−	0.427087i
$772$	9.28787	−	3.56528i	0.334278	−	0.128317i
$773$	−34.8522	+	22.6333i	−1.25355	+	0.814063i	−0.988653	−	0.150214i	$-0.952004\pi$
$773$	−34.8522	+	22.6333i	−1.25355	+	0.814063i	−0.264894	+	0.964277i	$0.585337\pi$
$774$	−15.3197	−	8.84486i	−0.550657	−	0.317922i
$775$	−4.20850	−	32.3317i	−0.151174	−	1.16139i
$776$			6.50493i			0.233514i
$777$	−12.6389	+	9.52543i	−0.453418	+	0.341723i
$778$	−20.8229	−	3.29802i	−0.746537	−	0.118240i
$779$	1.85891	−	4.17518i	0.0666024	−	0.149591i
$780$	2.00416	+	0.510551i	0.0717605	+	0.0182806i
$781$	45.7161	−	20.3541i	1.63585	−	0.728328i
$782$	0.500242	−	1.86693i	0.0178886	−	0.0667612i
$783$	−2.01912	+	0.319797i	−0.0721575	+	0.0114286i
$784$	4.49879	−	5.36292i	0.160671	−	0.191533i
$785$	−2.69436	−	22.9079i	−0.0961658	−	0.817617i
$786$	−3.76841	+	4.18524i	−0.134415	+	0.149283i
$787$	0.653882	−	12.4768i	0.0233084	−	0.444751i	−0.961901	−	0.273397i	$-0.911853\pi$
$787$	0.653882	−	12.4768i	0.0233084	−	0.444751i	0.985210	−	0.171353i	$-0.0548140\pi$
$788$	0.0254497	−	0.485610i	0.000906609	−	0.0172991i
$789$	17.2965	−	19.2097i	0.615771	−	0.683883i
$790$	12.6672	−	22.5802i	0.450679	−	0.803368i
$791$	22.7928	−	23.6058i	0.810419	−	0.839326i
$792$	−7.22044	+	1.14361i	−0.256567	+	0.0406362i
$793$	1.60494	−	5.98971i	0.0569930	−	0.212701i
$794$	31.5180	−	14.0327i	1.11853	−	0.498002i
$795$	−0.287316	−	4.43321i	−0.0101901	−	0.157230i
$796$	1.64414	−	3.69280i	0.0582750	−	0.130888i
$797$	−24.4063	−	3.86558i	−0.864517	−	0.136926i	−0.291601	−	0.956540i	$-0.594188\pi$
$797$	−24.4063	−	3.86558i	−0.864517	−	0.136926i	−0.572916	+	0.819614i	$0.694188\pi$
$798$	−10.6992	−	4.54069i	−0.378747	−	0.160739i
$799$			7.00707i			0.247892i
$800$	0.138186	−	4.99809i	0.00488562	−	0.176709i
$801$	7.91761	+	4.57123i	0.279755	+	0.161517i
$802$	18.2399	−	11.8451i	0.644073	−	0.418266i
$803$	−49.8394	+	19.1315i	−1.75879	+	0.675137i
$804$	4.52994	−	3.29120i	0.159759	−	0.116072i
$805$	2.92311	+	11.9802i	0.103026	+	0.422245i
$806$	5.22053	+	3.79293i	0.183885	+	0.133600i
$807$	−11.9338	−	3.19766i	−0.420090	−	0.112563i
$808$	1.35505	−	3.53002i	0.0476704	−	0.124186i
$809$	−19.9403	+	17.9543i	−0.701063	+	0.631240i	−0.940548	−	0.339660i	$-0.889688\pi$
$809$	−19.9403	+	17.9543i	−0.701063	+	0.631240i	0.239485	+	0.970900i	$0.423021\pi$
$810$	−4.02604	+	1.36338i	−0.141461	+	0.0479043i
$811$	−8.70158	+	2.82732i	−0.305554	+	0.0992805i	−0.457781	−	0.889065i	$-0.651356\pi$
$811$	−8.70158	+	2.82732i	−0.305554	+	0.0992805i	0.152227	+	0.988346i	$0.451356\pi$
$812$	0.987329	+	0.547198i	0.0346484	+	0.0192029i
$813$	−17.8296	+	9.08465i	−0.625312	+	0.318612i
$814$	−16.3512	−	14.7227i	−0.573110	−	0.516031i
$815$	25.6953	−	29.2568i	0.900068	−	1.02482i
$816$	0.579909	+	0.644054i	0.0203009	+	0.0225464i
$817$	30.3869	−	24.6068i	1.06310	−	0.860885i
$818$	17.4541	−	17.4541i	0.610267	−	0.610267i
$819$	−2.94993	+	4.72158i	−0.103079	+	0.164985i
$820$	0.754049	−	2.03935i	0.0263325	−	0.0712172i
$821$	−6.19672	−	2.75896i	−0.216267	−	0.0962883i	0.295744	−	0.955267i	$-0.404433\pi$
$821$	−6.19672	−	2.75896i	−0.216267	−	0.0962883i	−0.512011	+	0.858979i	$0.671099\pi$
$822$	−3.70135	+	4.57078i	−0.129099	+	0.159424i
$823$	−18.8465	−	29.0211i	−0.656949	−	1.01161i	−0.997450	−	0.0713690i	$-0.977263\pi$
$823$	−18.8465	−	29.0211i	−0.656949	−	1.01161i	0.340501	−	0.940244i	$-0.389403\pi$
$824$	9.09831	+	15.7587i	0.316955	+	0.548981i
$825$	−6.12660	−	14.8523i	−0.213301	−	0.517089i
$826$	7.56602	−	15.5153i	0.263256	−	0.539846i
$827$	15.0004	+	7.64308i	0.521615	+	0.265776i	0.694914	−	0.719093i	$-0.255443\pi$
$827$	15.0004	+	7.64308i	0.521615	+	0.265776i	−0.173299	+	0.984869i	$0.555443\pi$
$828$	−1.58842	−	4.13797i	−0.0552013	−	0.143804i
$829$	−1.26197	−	12.0068i	−0.0438300	−	0.417015i	−0.994334	−	0.106302i	$-0.966099\pi$
$829$	−1.26197	−	12.0068i	−0.0438300	−	0.417015i	0.950504	−	0.310713i	$-0.100568\pi$
$830$	−3.96403	+	0.256908i	−0.137593	+	0.00891742i
$831$	3.87599	+	0.407383i	0.134456	+	0.0141319i
$832$	0.699738	+	0.699738i	0.0242590	+	0.0242590i
$833$	6.20690	−	1.89855i	0.215056	−	0.0657810i
$834$	−10.0544	−	3.26686i	−0.348154	−	0.113122i
$835$	−25.7029	+	0.317693i	−0.889485	+	0.0109942i
$836$	3.35959	−	15.8056i	0.116194	−	0.546649i
$837$	31.2015	+	1.63520i	1.07848	+	0.0565209i
$838$	−6.35949	+	9.79276i	−0.219685	+	0.338285i
$839$	−7.80656	−	24.0261i	−0.269512	−	0.829473i	−0.990619	−	0.136650i	$-0.956366\pi$
$839$	−7.80656	−	24.0261i	−0.269512	−	0.829473i	0.721107	−	0.692824i	$-0.243634\pi$
$840$	−5.21912	−	1.82648i	−0.180077	−	0.0630196i
$841$	8.90524	−	27.4075i	0.307077	−	0.945087i
$842$	−19.9629	−	24.6521i	−0.687968	−	0.849569i
$843$	−5.12415	−	19.1236i	−0.176485	−	0.658652i
$844$	2.55284	+	5.73378i	0.0878724	+	0.197365i
$845$	−19.2399	−	18.7701i	−0.661873	−	0.645711i
$846$	9.44510	+	13.0001i	0.324729	+	0.446951i
$847$	2.15918	+	0.188757i	0.0741903	+	0.00648578i
$848$	0.965028	−	1.89397i	0.0331392	−	0.0650393i
$849$	16.1375	−	9.31698i	0.553837	−	0.319758i
$850$	2.63159	−	3.81703i	0.0902628	−	0.130923i
$851$	6.67019	−	11.5531i	0.228651	−	0.396036i
$852$	−13.5863	+	0.712026i	−0.465458	+	0.0243936i
$853$	−4.04731	+	25.5537i	−0.138577	+	0.874941i	0.816233	+	0.577723i	$0.196059\pi$
$853$	−4.04731	+	25.5537i	−0.138577	+	0.874941i	−0.954810	+	0.297218i	$0.903941\pi$
$854$	−5.66934	+	15.5796i	−0.194001	+	0.533124i
$855$	0.893706	−	22.3306i	0.0305641	−	0.763689i
$856$	−1.62895	+	15.4985i	−0.0556765	+	0.529726i
$857$	−26.1468	+	7.00601i	−0.893157	+	0.239321i	−0.676075	−	0.736833i	$-0.736321\pi$
$857$	−26.1468	+	7.00601i	−0.893157	+	0.239321i	−0.217082	+	0.976153i	$0.569654\pi$
$858$	2.96857	+	1.13953i	0.101345	+	0.0389028i
$859$	30.9938	−	6.58793i	1.05749	−	0.224777i	0.353830	−	0.935310i	$-0.384879\pi$
$859$	30.9938	−	6.58793i	1.05749	−	0.224777i	0.703664	+	0.710533i	$0.251546\pi$
$860$	13.6690	−	12.6170i	0.466108	−	0.430235i
$861$	−1.89490	−	1.48026i	−0.0645782	−	0.0504470i
$862$	9.06268	+	17.7865i	0.308676	+	0.605811i
$863$	22.9323	+	14.8924i	0.780625	+	0.506944i	0.872374	−	0.488838i	$-0.162579\pi$
$863$	22.9323	+	14.8924i	0.780625	+	0.506944i	−0.0917493	+	0.995782i	$0.529246\pi$
$864$	4.68673	+	0.996194i	0.159446	+	0.0338912i
$865$	46.2078	+	4.27994i	1.57111	+	0.145522i
$866$	8.03469	+	37.8002i	0.273030	+	1.28450i
$867$	−2.35989	−	14.8998i	−0.0801461	−	0.506023i
$868$	−13.0215	−	11.3179i	−0.441978	−	0.384154i
$869$	23.3975	−	32.2039i	0.793707	−	1.09244i
$870$	0.128595	−	0.882367i	0.00435979	−	0.0299150i
$871$	5.89588	−	0.619682i	0.199774	−	0.0209971i
$872$	10.3633	+	8.39203i	0.350945	+	0.284190i
$873$	0.723923	+	13.8133i	0.0245011	+	0.467509i
$874$	9.79712			0.331393
$875$	−3.02611	+	29.4252i	−0.102301	+	0.994753i
$876$	14.5137			0.490372
$877$	1.54850	+	29.5472i	0.0522892	+	0.997737i	0.891241	+	0.453531i	$0.149836\pi$
$877$	1.54850	+	29.5472i	0.0522892	+	0.997737i	−0.838951	+	0.544206i	$0.816831\pi$
$878$	26.6353	+	21.5688i	0.898896	+	0.727912i
$879$	−17.1366	+	1.80113i	−0.578002	+	0.0607505i
$880$	1.10864	−	7.60703i	0.0373723	−	0.256433i
$881$	−12.7257	+	17.5155i	−0.428741	+	0.590111i	−0.967664	−	0.252244i	$-0.918831\pi$
$881$	−12.7257	+	17.5155i	−0.428741	+	0.590111i	0.538923	+	0.842355i	$0.318831\pi$
$882$	8.95639	−	11.8889i	0.301577	−	0.400319i
$883$	2.04616	+	12.9190i	0.0688589	+	0.434758i	0.997900	+	0.0647803i	$0.0206347\pi$
$883$	2.04616	+	12.9190i	0.0688589	+	0.434758i	−0.929041	+	0.369978i	$0.879365\pi$
$884$	0.190778	+	0.897539i	0.00641655	+	0.0301875i
$885$	−13.5774	−	1.25759i	−0.456400	−	0.0422735i
$886$	−17.2421	−	3.66493i	−0.579261	−	0.123126i
$887$	22.6374	+	14.7009i	0.760089	+	0.493607i	0.865554	−	0.500816i	$-0.166967\pi$
$887$	22.6374	+	14.7009i	0.760089	+	0.493607i	−0.105465	+	0.994423i	$0.533633\pi$
$888$	2.71569	+	5.32984i	0.0911326	+	0.178858i
$889$	−13.0252	−	1.82967i	−0.436850	−	0.0613653i
$890$	−7.06446	+	6.52075i	−0.236801	+	0.218576i
$891$	−6.39244	+	1.35875i	−0.214155	+	0.0455200i
$892$	−1.03989	−	0.399177i	−0.0348181	−	0.0133654i
$893$	−34.3080	+	9.19279i	−1.14807	+	0.307625i
$894$	−0.371642	+	3.53594i	−0.0124296	+	0.118259i
$895$	−0.0274746	+	0.686492i	−0.000918373	+	0.0229469i
$896$	−1.70079	−	2.02665i	−0.0568195	−	0.0677056i
$897$	−0.301592	+	1.90417i	−0.0100699	+	0.0635785i
$898$	32.1997	−	1.68752i	1.07452	−	0.0563131i
$899$	1.39108	−	2.40943i	0.0463953	−	0.0803590i
$900$	−0.262790	−	10.6289i	−0.00875966	−	0.354295i
$901$	1.70695	−	0.985511i	0.0568669	−	0.0328321i
$902$	1.51766	−	2.97857i	0.0505324	−	0.0991755i
$903$	−8.69525	−	18.6437i	−0.289360	−	0.620425i
$904$	−7.28998	−	10.0338i	−0.242461	−	0.333719i
$905$	37.0563	+	36.1514i	1.23179	+	1.20171i
$906$	−5.74676	−	12.9074i	−0.190923	−	0.428821i
$907$	−3.98269	−	14.8636i	−0.132243	−	0.493538i	0.867751	−	0.496999i	$-0.165565\pi$
$907$	−3.98269	−	14.8636i	−0.132243	−	0.493538i	−0.999994	+	0.00346133i	$0.998898\pi$
$908$	3.47431	+	4.29041i	0.115299	+	0.142382i
$909$	2.48461	−	7.64683i	0.0824092	−	0.253629i
$910$	−3.81859	−	4.43764i	−0.126585	−	0.147106i
$911$	−8.08460	−	24.8818i	−0.267855	−	0.824372i	−0.991022	−	0.133699i	$-0.957314\pi$
$911$	−8.08460	−	24.8818i	−0.267855	−	0.824372i	0.723167	−	0.690673i	$-0.242686\pi$
$912$	−2.39261	+	3.68430i	−0.0792273	+	0.121999i
$913$	−6.09902	−	0.319636i	−0.201848	−	0.0105784i
$914$	−1.78791	+	8.41145i	−0.0591388	+	0.278226i
$915$	13.0953	−	0.161860i	0.432916	−	0.00535093i
$916$	−25.2308	−	8.19798i	−0.833649	−	0.270869i
$917$	15.5333	−	3.58724i	0.512954	−	0.118461i
$918$	3.14158	+	3.14158i	0.103688	+	0.103688i
$919$	23.0701	+	2.42477i	0.761013	+	0.0799856i	0.477081	−	0.878859i	$-0.341695\pi$
$919$	23.0701	+	2.42477i	0.761013	+	0.0799856i	0.283931	+	0.958845i	$0.408361\pi$
$920$	4.65115	−	0.301441i	0.153344	−	0.00993821i
$921$	−0.499349	−	4.75099i	−0.0164541	−	0.156550i
$922$	2.92814	+	7.62808i	0.0964333	+	0.251217i
$923$	−12.8344	−	6.53946i	−0.422450	−	0.215249i
$924$	−7.64132	−	3.72628i	−0.251381	−	0.122586i
$925$	24.3635	−	20.7469i	0.801066	−	0.682154i
$926$	16.1208	+	27.9221i	0.529763	+	0.917576i
$927$	21.0741	+	32.4513i	0.692164	+	1.06584i
$928$	0.268503	−	0.331574i	0.00881404	−	0.0108844i
$929$	−26.7668	−	11.9174i	−0.878191	−	0.390996i	−0.0824230	−	0.996597i	$-0.526266\pi$
$929$	−26.7668	−	11.9174i	−0.878191	−	0.390996i	−0.795768	+	0.605602i	$0.792933\pi$
$930$	−4.72633	+	12.7825i	−0.154982	+	0.419155i
$931$	17.4387	+	27.8994i	0.571530	+	0.914366i
$932$	18.2208	−	18.2208i	0.596841	−	0.596841i
$933$	−1.63372	+	1.32296i	−0.0534856	+	0.0433118i
$934$	−2.86931	−	3.18669i	−0.0938866	−	0.104272i
$935$	4.70384	−	5.35580i	0.153832	−	0.175153i
$936$	1.56377	+	1.40803i	0.0511135	+	0.0460228i
$937$	5.88098	−	2.99651i	0.192123	−	0.0978917i	−0.355283	−	0.934759i	$-0.615615\pi$
$937$	5.88098	−	2.99651i	0.192123	−	0.0978917i	0.547406	+	0.836867i	$0.315615\pi$
$938$	−15.8477	+	0.277689i	−0.517446	+	0.00906687i
$939$	25.6251	−	8.32609i	0.836243	−	0.271712i
$940$	−16.0047	+	5.41984i	−0.522017	+	0.176776i
$941$	−33.9566	+	30.5747i	−1.10695	+	0.996705i	−0.106956	+	0.994264i	$0.534110\pi$
$941$	−33.9566	+	30.5747i	−1.10695	+	0.996705i	−0.999997	+	0.00244142i	$0.999223\pi$
$942$	−3.45512	+	9.00089i	−0.112574	+	0.293265i
$943$	1.95777	+	0.524583i	0.0637538	+	0.0170828i
$944$	−5.27830	−	3.83491i	−0.171794	−	0.124816i
$945$	−27.2088	−	7.95021i	−0.885101	−	0.258620i
$946$	23.1379	−	16.8106i	0.752277	−	0.546561i
$947$	−31.0542	+	11.9206i	−1.00913	+	0.387367i	−0.806083	−	0.591802i	$-0.798417\pi$
$947$	−31.0542	+	11.9206i	−1.00913	+	0.387367i	−0.203044	+	0.979170i	$0.565083\pi$
$948$	−9.07610	+	5.89409i	−0.294778	+	0.191431i
$949$	13.3078	+	7.68328i	0.431991	+	0.249410i
$950$	22.1414	+	7.87708i	0.718360	+	0.255566i
$951$		−	32.2979i		−	1.04733i
$952$	−0.299144	−	2.43498i	−0.00969530	−	0.0789180i
$953$	−19.5077	−	3.08971i	−0.631915	−	0.100085i	−0.167743	−	0.985831i	$-0.553648\pi$
$953$	−19.5077	−	3.08971i	−0.631915	−	0.100085i	−0.464172	+	0.885745i	$0.653648\pi$
$954$	1.83847	−	4.12926i	0.0595226	−	0.133690i
$955$	−3.33795	−	51.5036i	−0.108013	−	1.66662i
$956$	−24.3935	+	10.8607i	−0.788941	+	0.351259i
$957$	0.354828	−	1.32424i	0.0114700	−	0.0428065i
$958$	−25.3582	+	4.01635i	−0.819287	+	0.129762i
$959$	16.0037	−	4.59014i	0.516785	−	0.148223i
$960$	−1.02253	+	1.82273i	−0.0330019	+	0.0588282i
$961$	−7.70966	+	8.56244i	−0.248699	+	0.276208i
$962$	−0.331462	+	6.32467i	−0.0106868	+	0.203915i
$963$	−1.73430	+	33.0924i	−0.0558870	+	1.06639i
$964$	−6.08465	+	6.75769i	−0.195973	+	0.217651i
$965$	2.59858	+	22.0936i	0.0836514	+	0.711217i
$966$	1.24665	−	5.00146i	0.0401102	−	0.160919i
$967$	34.4499	−	5.45633i	1.10783	−	0.175464i	0.424399	−	0.905475i	$-0.360485\pi$
$967$	34.4499	−	5.45633i	1.10783	−	0.175464i	0.683435	+	0.730012i	$0.260485\pi$
$968$	0.212026	−	0.791292i	0.00681477	−	0.0254331i
$969$	−3.72128	+	1.65682i	−0.119545	+	0.0532247i
$970$	−14.0953	−	3.59071i	−0.452573	−	0.115291i
$971$	10.1383	−	22.7711i	0.325355	−	0.730759i	−0.674618	−	0.738167i	$-0.735691\pi$
$971$	10.1383	−	22.7711i	0.325355	−	0.730759i	0.999973	+	0.00740817i	$0.00235812\pi$
$972$	15.9522	+	2.52657i	0.511666	+	0.0810399i
$973$	18.0114	+	23.8986i	0.577420	+	0.766154i
$974$		−	28.4435i		−	0.911388i
$975$	−2.21259	+	4.06092i	−0.0708595	+	0.130054i
$976$	5.42678	+	3.13315i	0.173707	+	0.100290i
$977$	−0.912223	+	0.592405i	−0.0291846	+	0.0189527i	−0.559149	−	0.829067i	$-0.688872\pi$
$977$	−0.912223	+	0.592405i	−0.0291846	+	0.0189527i	0.529964	+	0.848020i	$0.322205\pi$
$978$	−15.1949	+	5.83277i	−0.485879	+	0.186511i
$979$	−11.9582	+	8.68814i	−0.382186	+	0.277674i
$980$	9.13738	+	12.7086i	0.291883	+	0.405961i
$981$	22.9405	+	16.6672i	0.732433	+	0.532144i
$982$	−1.65957	−	0.444682i	−0.0529592	−	0.0141904i
$983$	21.9760	−	57.2494i	0.700926	−	1.82597i	0.155456	−	0.987843i	$-0.450315\pi$
$983$	21.9760	−	57.2494i	0.700926	−	1.82597i	0.545470	−	0.838131i	$-0.316351\pi$
$984$	−0.675393	+	0.608127i	−0.0215308	+	0.0193864i
$985$	1.03820	+	0.323202i	0.0330799	+	0.0102981i
$986$	0.376255	−	0.122253i	0.0119824	−	0.00389332i
$987$	0.327388	+	18.6841i	0.0104209	+	0.594720i
$988$	−4.14423	+	2.11159i	−0.131846	+	0.0671787i
$989$	12.8864	+	11.6029i	0.409763	+	0.368952i
$990$	1.50763	−	16.2770i	0.0479157	−	0.517316i
$991$	−21.7330	−	24.1369i	−0.690371	−	0.766735i	0.291441	−	0.956589i	$-0.405865\pi$
$991$	−21.7330	−	24.1369i	−0.690371	−	0.766735i	−0.981812	+	0.189854i	$0.939198\pi$
$992$	−5.06768	+	4.10372i	−0.160899	+	0.130293i
$993$	5.60251	−	5.60251i	0.177790	−	0.177790i
$994$	32.6612	+	20.4060i	1.03595	+	0.647238i
$995$	7.09423	+	5.60105i	0.224902	+	0.177565i
$996$	1.51685	+	0.675345i	0.0480632	+	0.0213991i
$997$	−13.5998	+	16.7943i	−0.430709	+	0.531881i	−0.945581	−	0.325386i	$-0.894506\pi$
$997$	−13.5998	+	16.7943i	−0.430709	+	0.531881i	0.514873	+	0.857267i	$0.327839\pi$
$998$	−1.58354	−	2.43843i	−0.0501259	−	0.0771872i
$999$	15.3327	+	26.5570i	0.485104	+	0.840226i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.283.17	yes	320
7.5	odd	6	inner	350.2.x.a.33.17	✓	320
25.22	odd	20	inner	350.2.x.a.297.17	yes	320
175.47	even	60	inner	350.2.x.a.47.17	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.33.17	✓	320	7.5	odd	6	inner
350.2.x.a.47.17	yes	320	175.47	even	60	inner
350.2.x.a.283.17	yes	320	1.1	even	1	trivial
350.2.x.a.297.17	yes	320	25.22	odd	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.0523360 + 0.998630i) q^{2} +(0.726362 + 0.588197i) q^{3} +(-0.994522 + 0.104528i) q^{4} +(0.322475 - 2.21269i) q^{5} +(-0.549376 + 0.756151i) q^{6} +(2.50155 - 0.861541i) q^{7} +(-0.156434 - 0.987688i) q^{8} +(-0.442108 - 2.07995i) q^{9} +(2.22654 + 0.206230i) q^{10} +(3.36278 + 0.714781i) q^{11} +(-0.783867 - 0.509049i) q^{12} +(-0.449259 - 0.881721i) q^{13} +(0.991281 + 2.45303i) q^{14} +(1.53573 - 1.41754i) q^{15} +(0.978148 - 0.207912i) q^{16} +(0.865666 + 0.332298i) q^{17} +(2.05397 - 0.550359i) q^{18} +(-0.491301 + 4.67441i) q^{19} +(-0.0894196 + 2.23428i) q^{20} +(2.32379 + 0.845612i) q^{21} +(-0.537807 + 3.39558i) q^{22} +(-2.08157 + 0.109090i) q^{23} +(0.467327 - 0.809434i) q^{24} +(-4.79202 - 1.42708i) q^{25} +(0.857000 - 0.494789i) q^{26} +(2.17526 - 4.26920i) q^{27} +(-2.39779 + 1.11830i) q^{28} +(-0.250782 - 0.345171i) q^{29} +(1.49597 + 1.45944i) q^{30} +(2.65228 + 5.95712i) q^{31} +(0.258819 + 0.965926i) q^{32} +(2.02217 + 2.49717i) q^{33} +(-0.286537 + 0.881870i) q^{34} +(-1.09964 - 5.81299i) q^{35} +(0.657101 + 2.02235i) q^{36} +(-3.48571 + 5.36753i) q^{37} +(-4.69372 - 0.245987i) q^{38} +(0.192300 - 0.904702i) q^{39} +(-2.23590 + 0.0276361i) q^{40} +(-0.924781 - 0.300480i) q^{41} +(-0.722836 + 2.36486i) q^{42} +(-5.88242 - 5.88242i) q^{43} +(-3.41907 - 0.359359i) q^{44} +(-4.74487 + 0.307515i) q^{45} +(-0.217881 - 2.07300i) q^{46} +(2.70812 + 7.05488i) q^{47} +(0.832783 + 0.424324i) q^{48} +(5.51550 - 4.31037i) q^{49} +(1.17433 - 4.86014i) q^{50} +(0.433330 + 0.750550i) q^{51} +(0.538963 + 0.829931i) q^{52} +(1.33772 - 1.65194i) q^{53} +(4.37719 + 1.94885i) q^{54} +(2.66601 - 7.21030i) q^{55} +(-1.24226 - 2.33598i) q^{56} +(-3.10634 + 3.10634i) q^{57} +(0.331574 - 0.268503i) q^{58} +(-4.36563 - 4.84853i) q^{59} +(-1.37915 + 1.57030i) q^{60} +(4.65677 + 4.19298i) q^{61} +(-5.81015 + 2.96042i) q^{62} +(-2.89792 - 4.82222i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(-2.09585 + 0.709740i) q^{65} +(-2.38791 + 2.15009i) q^{66} +(-2.14691 + 5.59289i) q^{67} +(-0.895658 - 0.239991i) q^{68} +(-1.57614 - 1.14513i) q^{69} +(5.74747 - 1.40236i) q^{70} +(11.7761 - 8.55586i) q^{71} +(-1.98519 + 0.762042i) q^{72} +(-13.0232 + 8.45737i) q^{73} +(-5.54260 - 3.20002i) q^{74} +(-2.64134 - 3.85523i) q^{75} -4.70016i q^{76} +(9.02797 - 1.10911i) q^{77} +(0.913526 + 0.144688i) q^{78} +(4.70945 - 10.5776i) q^{79} +(-0.144616 - 2.23139i) q^{80} +(-1.73659 + 0.773181i) q^{81} +(0.251668 - 0.939239i) q^{82} +(-1.75461 + 0.277904i) q^{83} +(-2.39945 - 0.598078i) q^{84} +(1.01443 - 1.80829i) q^{85} +(5.56650 - 6.18222i) q^{86} +(0.0208703 - 0.398229i) q^{87} +(0.179926 - 3.43320i) q^{88} +(-2.87690 + 3.19512i) q^{89} +(-0.555421 - 4.72227i) q^{90} +(-1.88348 - 1.81861i) q^{91} +(2.05876 - 0.326075i) q^{92} +(-1.57744 + 5.88709i) q^{93} +(-6.90348 + 3.07363i) q^{94} +(10.1846 + 2.59448i) q^{95} +(-0.380158 + 0.853849i) q^{96} +(-6.42485 - 1.01760i) q^{97} +(4.59312 + 5.28235i) q^{98} -7.31044i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) \) 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more