LMFDB - Embedded newform 296.2.q.a.85.2

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(85,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(6)) chi = DirichletCharacter(H, H._module([0, 3, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.85"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.q (of order $6$, degree $2$, 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:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			85.2
Character	$\chi$	$=$	296.85
Dual form			296.2.q.a.101.2

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.38029 - 0.307877i) q^{2} +(-1.31634 - 0.759988i) q^{3} +(1.81042 + 0.849922i) q^{4} +(0.762054 - 1.31992i) q^{5} +(1.58295 + 1.45428i) q^{6} +(-2.35964 + 4.08701i) q^{7} +(-2.23725 - 1.73053i) q^{8} +(-0.344836 - 0.597274i) q^{9} +(-1.45823 + 1.58725i) q^{10} -0.210369i q^{11} +(-1.73720 - 2.49468i) q^{12} +(-0.457733 + 0.792818i) q^{13} +(4.51529 - 4.91480i) q^{14} +(-2.00624 + 1.15830i) q^{15} +(2.55527 + 3.07744i) q^{16} +(-2.84107 + 1.64029i) q^{17} +(0.292088 + 0.930581i) q^{18} +(-0.642128 + 1.11220i) q^{19} +(2.50146 - 1.74192i) q^{20} +(6.21216 - 3.58659i) q^{21} +(-0.0647679 + 0.290371i) q^{22} +6.24690i q^{23} +(1.62979 + 3.97824i) q^{24} +(1.33855 + 2.31843i) q^{25} +(0.875897 - 0.953396i) q^{26} +5.60821i q^{27} +(-7.74558 + 5.39371i) q^{28} -1.76703 q^{29} +(3.12582 - 0.981124i) q^{30} +2.65182i q^{31} +(-2.57955 - 5.03447i) q^{32} +(-0.159878 + 0.276917i) q^{33} +(4.42652 - 1.38938i) q^{34} +(3.59634 + 6.22904i) q^{35} +(-0.116664 - 1.37440i) q^{36} +(-3.36577 + 5.06671i) q^{37} +(1.22875 - 1.33746i) q^{38} +(1.20506 - 0.695744i) q^{39} +(-3.98905 + 1.63422i) q^{40} +(-1.18127 + 2.04601i) q^{41} +(-9.67883 + 3.03797i) q^{42} -6.62052 q^{43} +(0.178797 - 0.380857i) q^{44} -1.05113 q^{45} +(1.92328 - 8.62256i) q^{46} +11.5460 q^{47} +(-1.02478 - 5.99292i) q^{48} +(-7.63576 - 13.2255i) q^{49} +(-1.13380 - 3.61223i) q^{50} +4.98641 q^{51} +(-1.50252 + 1.04630i) q^{52} +(8.29608 - 4.78975i) q^{53} +(1.72664 - 7.74098i) q^{54} +(-0.277670 - 0.160313i) q^{55} +(12.3518 - 5.06022i) q^{56} +(1.69051 - 0.976019i) q^{57} +(2.43903 + 0.544029i) q^{58} +(-5.93478 - 10.2793i) q^{59} +(-4.61661 + 0.391872i) q^{60} +(-2.99085 + 5.18030i) q^{61} +(0.816435 - 3.66029i) q^{62} +3.25475 q^{63} +(2.01053 + 7.74324i) q^{64} +(0.697635 + 1.20834i) q^{65} +(0.305935 - 0.333004i) q^{66} +(-11.0182 - 6.36134i) q^{67} +(-6.53765 + 0.554937i) q^{68} +(4.74757 - 8.22303i) q^{69} +(-3.04622 - 9.70513i) q^{70} +(-2.90084 + 5.02440i) q^{71} +(-0.262117 + 1.93300i) q^{72} +4.74515 q^{73} +(6.20568 - 5.95731i) q^{74} -4.06913i q^{75} +(-2.10780 + 1.46779i) q^{76} +(0.859781 + 0.496395i) q^{77} +(-1.87755 + 0.589320i) q^{78} +(-8.93147 - 5.15659i) q^{79} +(6.00921 - 1.02756i) q^{80} +(3.22767 - 5.59048i) q^{81} +(2.26041 - 2.46041i) q^{82} +(-8.68083 + 5.01188i) q^{83} +(14.2950 - 1.21340i) q^{84} +4.99996i q^{85} +(9.13827 + 2.03831i) q^{86} +(2.32601 + 1.34292i) q^{87} +(-0.364050 + 0.470648i) q^{88} +(-3.86550 + 2.23175i) q^{89} +(1.45087 + 0.323620i) q^{90} +(-2.16017 - 3.74152i) q^{91} +(-5.30938 + 11.3095i) q^{92} +(2.01535 - 3.49069i) q^{93} +(-15.9369 - 3.55475i) q^{94} +(0.978672 + 1.69511i) q^{95} +(-0.430585 + 8.58750i) q^{96} -3.33903i q^{97} +(6.46776 + 20.6060i) q^{98} +(-0.125648 + 0.0725429i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) $ 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$1$

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 $

$2$	−1.38029	−	0.307877i	−0.976015	−	0.217702i
$2$	−1.38029	−	0.307877i	−0.976015	−	0.217702i
$3$	−1.31634	−	0.759988i	−0.759988	−	0.438779i	0.0693034	−	0.997596i	$-0.477922\pi$
$3$	−1.31634	−	0.759988i	−0.759988	−	0.438779i	−0.829291	+	0.558816i	$0.811256\pi$
$4$	1.81042	+	0.849922i	0.905212	+	0.424961i
$5$	0.762054	−	1.31992i	0.340801	−	0.590284i	−0.643781	−	0.765210i	$-0.722635\pi$
$5$	0.762054	−	1.31992i	0.340801	−	0.590284i	0.984582	+	0.174926i	$0.0559685\pi$
$6$	1.58295	+	1.45428i	0.646237	+	0.593706i
$7$	−2.35964	+	4.08701i	−0.891858	+	1.54474i	−0.0542132	+	0.998529i	$0.517265\pi$
$7$	−2.35964	+	4.08701i	−0.891858	+	1.54474i	−0.837645	+	0.546215i	$0.816068\pi$
$8$	−2.23725	−	1.73053i	−0.790986	−	0.611835i
$9$	−0.344836	−	0.597274i	−0.114945	−	0.199091i
$10$	−1.45823	+	1.58725i	−0.461133	+	0.501933i
$11$		−	0.210369i		−	0.0634287i	−0.999497	−	0.0317144i	$-0.989903\pi$
$11$		−	0.210369i		−	0.0634287i	0.999497	−	0.0317144i	$-0.0100967\pi$
$12$	−1.73720	−	2.49468i	−0.501486	−	0.720153i
$13$	−0.457733	+	0.792818i	−0.126952	+	0.219888i	−0.922494	−	0.386010i	$-0.873853\pi$
$13$	−0.457733	+	0.792818i	−0.126952	+	0.219888i	0.795542	+	0.605898i	$0.207186\pi$
$14$	4.51529	−	4.91480i	1.20676	−	1.31353i
$15$	−2.00624	+	1.15830i	−0.518009	+	0.299073i
$16$	2.55527	+	3.07744i	0.638817	+	0.769359i
$17$	−2.84107	+	1.64029i	−0.689060	+	0.397829i	−0.803260	−	0.595629i	$-0.796903\pi$
$17$	−2.84107	+	1.64029i	−0.689060	+	0.397829i	0.114200	+	0.993458i	$0.463570\pi$
$18$	0.292088	+	0.930581i	0.0688459	+	0.219340i
$19$	−0.642128	+	1.11220i	−0.147314	+	0.255156i	−0.930234	−	0.366967i	$-0.880396\pi$
$19$	−0.642128	+	1.11220i	−0.147314	+	0.255156i	0.782920	+	0.622123i	$0.213730\pi$
$20$	2.50146	−	1.74192i	0.559344	−	0.389505i
$21$	6.21216	−	3.58659i	1.35560	−	0.782658i
$22$	−0.0647679	+	0.290371i	−0.0138086	+	0.0619074i
$23$			6.24690i			1.30257i	0.758834	+	0.651284i	$0.225770\pi$
$23$			6.24690i			1.30257i	−0.758834	+	0.651284i	$0.774230\pi$
$24$	1.62979	+	3.97824i	0.332679	+	0.812055i
$25$	1.33855	+	2.31843i	0.267710	+	0.463687i
$26$	0.875897	−	0.953396i	0.171778	−	0.186976i
$27$			5.60821i			1.07930i
$28$	−7.74558	+	5.39371i	−1.46378	+	1.01932i
$29$	−1.76703			−0.328130			−0.164065	−	0.986450i	$-0.552461\pi$
$29$	−1.76703			−0.328130			−0.164065	+	0.986450i	$0.552461\pi$
$30$	3.12582	−	0.981124i	0.570693	−	0.179128i
$31$			2.65182i			0.476281i	0.971231	+	0.238141i	$0.0765379\pi$
$31$			2.65182i			0.476281i	−0.971231	+	0.238141i	$0.923462\pi$
$32$	−2.57955	−	5.03447i	−0.456004	−	0.889978i
$33$	−0.159878	+	0.276917i	−0.0278312	+	0.0482051i
$34$	4.42652	−	1.38938i	0.759141	−	0.238277i
$35$	3.59634	+	6.22904i	0.607892	+	1.05290i
$36$	−0.116664	−	1.37440i	−0.0194439	−	0.229067i
$37$	−3.36577	+	5.06671i	−0.553330	+	0.832962i
$37$	−3.36577	+	5.06671i	−0.553330	+	0.832962i
$38$	1.22875	−	1.33746i	0.199329	−	0.216965i
$39$	1.20506	−	0.695744i	0.192965	−	0.111408i
$40$	−3.98905	+	1.63422i	−0.630725	+	0.258393i
$41$	−1.18127	+	2.04601i	−0.184483	+	0.319533i	−0.943402	−	0.331651i	$-0.892394\pi$
$41$	−1.18127	+	2.04601i	−0.184483	+	0.319533i	0.758919	+	0.651185i	$0.225728\pi$
$42$	−9.67883	+	3.03797i	−1.49348	+	0.468769i
$43$	−6.62052			−1.00962			−0.504810	−	0.863231i	$-0.668437\pi$
$43$	−6.62052			−1.00962			−0.504810	+	0.863231i	$0.668437\pi$
$44$	0.178797	−	0.380857i	0.0269547	−	0.0574164i
$45$	−1.05113			−0.156694
$46$	1.92328	−	8.62256i	0.283572	−	1.27133i
$47$	11.5460			1.68416			0.842079	−	0.539355i	$-0.181332\pi$
$47$	11.5460			1.68416			0.842079	+	0.539355i	$0.181332\pi$
$48$	−1.02478	−	5.99292i	−0.147914	−	0.865003i
$49$	−7.63576	−	13.2255i	−1.09082	−	1.88936i
$50$	−1.13380	−	3.61223i	−0.160343	−	0.510846i
$51$	4.98641			0.698236
$52$	−1.50252	+	1.04630i	−0.208363	+	0.145095i
$53$	8.29608	−	4.78975i	1.13955	−	0.657922i	0.193234	−	0.981153i	$-0.438102\pi$
$53$	8.29608	−	4.78975i	1.13955	−	0.657922i	0.946320	+	0.323231i	$0.104769\pi$
$54$	1.72664	−	7.74098i	0.234966	−	1.05341i
$55$	−0.277670	−	0.160313i	−0.0374410	−	0.0216165i
$56$	12.3518	−	5.06022i	1.65058	−	0.676201i
$57$	1.69051	−	0.976019i	0.223914	−	0.129277i
$58$	2.43903	+	0.544029i	0.320260	+	0.0714345i
$59$	−5.93478	−	10.2793i	−0.772643	−	1.33826i	−0.936110	−	0.351708i	$-0.885601\pi$
$59$	−5.93478	−	10.2793i	−0.772643	−	1.33826i	0.163467	−	0.986549i	$-0.447732\pi$
$60$	−4.61661	+	0.391872i	−0.596002	+	0.0505905i
$61$	−2.99085	+	5.18030i	−0.382939	+	0.663269i	−0.991481	−	0.130252i	$-0.958421\pi$
$61$	−2.99085	+	5.18030i	−0.382939	+	0.663269i	0.608542	+	0.793522i	$0.291755\pi$
$62$	0.816435	−	3.66029i	0.103687	−	0.464858i
$63$	3.25475			0.410060
$64$	2.01053	+	7.74324i	0.251317	+	0.967905i
$65$	0.697635	+	1.20834i	0.0865309	+	0.149876i
$66$	0.305935	−	0.333004i	0.0376580	−	0.0409900i
$67$	−11.0182	−	6.36134i	−1.34608	−	0.777161i	−0.358391	−	0.933572i	$-0.616674\pi$
$67$	−11.0182	−	6.36134i	−1.34608	−	0.777161i	−0.987692	+	0.156411i	$0.950008\pi$
$68$	−6.53765	+	0.554937i	−0.792807	+	0.0672959i
$69$	4.74757	−	8.22303i	0.571540	−	0.989937i
$70$	−3.04622	−	9.70513i	−0.364094	−	1.15999i
$71$	−2.90084	+	5.02440i	−0.344267	+	0.596287i	−0.985220	−	0.171292i	$-0.945206\pi$
$71$	−2.90084	+	5.02440i	−0.344267	+	0.596287i	0.640954	+	0.767580i	$0.278539\pi$
$72$	−0.262117	+	1.93300i	−0.0308908	+	0.227806i
$73$	4.74515			0.555377			0.277689	−	0.960671i	$-0.410432\pi$
$73$	4.74515			0.555377			0.277689	+	0.960671i	$0.410432\pi$
$74$	6.20568	−	5.95731i	0.721396	−	0.692523i
$75$		−	4.06913i		−	0.469862i
$76$	−2.10780	+	1.46779i	−0.241782	+	0.168367i
$77$	0.859781	+	0.496395i	0.0979811	+	0.0565694i
$78$	−1.87755	+	0.589320i	−0.212590	+	0.0667273i
$79$	−8.93147	−	5.15659i	−1.00487	−	0.580161i	−0.0951835	−	0.995460i	$-0.530344\pi$
$79$	−8.93147	−	5.15659i	−1.00487	−	0.580161i	−0.909685	+	0.415299i	$0.863677\pi$
$80$	6.00921	−	1.02756i	0.671850	−	0.114885i
$81$	3.22767	−	5.59048i	0.358630	−	0.621165i
$82$	2.26041	−	2.46041i	0.249621	−	0.271707i
$83$	−8.68083	+	5.01188i	−0.952845	+	0.550125i	−0.893964	−	0.448140i	$-0.852087\pi$
$83$	−8.68083	+	5.01188i	−0.952845	+	0.550125i	−0.0588813	+	0.998265i	$0.518753\pi$
$84$	14.2950	−	1.21340i	1.55971	−	0.132393i
$85$			4.99996i			0.542322i
$86$	9.13827	+	2.03831i	0.985404	+	0.219796i
$87$	2.32601	+	1.34292i	0.249375	+	0.143977i
$88$	−0.364050	+	0.470648i	−0.0388079	+	0.0501712i
$89$	−3.86550	+	2.23175i	−0.409742	+	0.236565i	−0.690679	−	0.723162i	$-0.742688\pi$
$89$	−3.86550	+	2.23175i	−0.409742	+	0.236565i	0.280937	+	0.959726i	$0.409355\pi$
$90$	1.45087	+	0.323620i	0.152936	+	0.0341126i
$91$	−2.16017	−	3.74152i	−0.226447	−	0.392218i
$92$	−5.30938	+	11.3095i	−0.553541	+	1.17910i
$93$	2.01535	−	3.49069i	0.208982	−	0.361968i
$94$	−15.9369	−	3.55475i	−1.64376	−	0.366644i
$95$	0.978672	+	1.69511i	0.100410	+	0.173915i
$96$	−0.430585	+	8.58750i	−0.0439464	+	0.876458i
$97$		−	3.33903i		−	0.339027i	−0.985528	−	0.169514i	$-0.945780\pi$
$97$		−	3.33903i		−	0.339027i	0.985528	−	0.169514i	$-0.0542197\pi$
$98$	6.46776	+	20.6060i	0.653342	+	2.08152i
$99$	−0.125648	+	0.0725429i	−0.0126281	+	0.00729084i
$100$	0.452852	+	5.33501i	0.0452852	+	0.533501i
$101$		−	9.87169i		−	0.982269i	−0.871084	−	0.491135i	$-0.836582\pi$
$101$		−	9.87169i		−	0.982269i	0.871084	−	0.491135i	$-0.163418\pi$
$102$	−6.88271	−	1.53520i	−0.681489	−	0.152007i
$103$		−	7.52687i		−	0.741645i	−0.928704	−	0.370822i	$-0.879076\pi$
$103$		−	7.52687i		−	0.741645i	0.928704	−	0.370822i	$-0.120924\pi$
$104$	2.39606	−	0.981606i	0.234953	−	0.0962544i
$105$		−	10.9327i		−	1.06692i
$106$	−12.9257	+	4.05708i	−1.25545	+	0.394059i
$107$	−5.52637	−	3.19065i	−0.534254	−	0.308452i	0.208493	−	0.978024i	$-0.433144\pi$
$107$	−5.52637	−	3.19065i	−0.534254	−	0.308452i	−0.742747	+	0.669572i	$0.766477\pi$
$108$	−4.76654	+	10.1532i	−0.458661	+	0.976996i
$109$	9.62253	+	16.6667i	0.921671	+	1.59638i	0.796829	+	0.604205i	$0.206509\pi$
$109$	9.62253	+	16.6667i	0.921671	+	1.59638i	0.124842	+	0.992177i	$0.460158\pi$
$110$	0.333909	+	0.306767i	0.0318370	+	0.0292491i
$111$	8.28114	−	4.11156i	0.786011	−	0.390252i
$112$	−18.6070	+	3.18177i	−1.75820	+	0.300649i
$113$	−4.06625	+	2.34765i	−0.382521	+	0.220849i	−0.678915	−	0.734217i	$-0.737549\pi$
$113$	−4.06625	+	2.34765i	−0.382521	+	0.220849i	0.296394	+	0.955066i	$0.404216\pi$
$114$	−2.63390	+	0.826723i	−0.246687	+	0.0774297i
$115$	8.24538	+	4.76047i	0.768886	+	0.443916i
$116$	−3.19908	−	1.50184i	−0.297027	−	0.139442i
$117$	0.631372			0.0583704
$118$	5.02697	+	16.0157i	0.462770	+	1.47436i
$119$		−	15.4820i		−	1.41923i
$120$	6.49293	+	0.880449i	0.592721	+	0.0803736i
$121$	10.9557			0.995977
$122$	5.72314	−	6.22952i	0.518149	−	0.563995i
$123$	3.10989	−	1.79550i	0.280409	−	0.161894i
$124$	−2.25384	+	4.80092i	−0.202401	+	0.431135i
$125$	11.7007			1.04654
$126$	−4.49251	−	1.00206i	−0.400225	−	0.0892709i
$127$	2.33775	+	4.04910i	0.207442	+	0.359300i	0.950908	−	0.309474i	$-0.100153\pi$
$127$	2.33775	+	4.04910i	0.207442	+	0.359300i	−0.743466	+	0.668773i	$0.766820\pi$
$128$	−0.391163	−	11.3069i	−0.0345743	−	0.999402i
$129$	8.71484	+	5.03152i	0.767299	+	0.443000i
$130$	−0.590921	−	1.88265i	−0.0518272	−	0.165119i
$131$	2.42728	+	4.20418i	0.212073	+	0.367321i	0.952363	−	0.304967i	$-0.0986453\pi$
$131$	2.42728	+	4.20418i	0.212073	+	0.367321i	−0.740290	+	0.672287i	$0.765312\pi$
$132$	−0.524805	+	0.365453i	−0.0456784	+	0.0318086i
$133$	−3.03038	−	5.24877i	−0.262767	−	0.455126i
$134$	13.2498	+	12.1728i	1.14461	+	1.05157i
$135$	7.40237	+	4.27376i	0.637094	+	0.367827i
$136$	9.19474	+	1.24682i	0.788442	+	0.106914i
$137$	−8.39642			−0.717354			−0.358677	−	0.933462i	$-0.616772\pi$
$137$	−8.39642			−0.717354			−0.358677	+	0.933462i	$0.616772\pi$
$138$	−9.08473	+	9.88854i	−0.773343	+	0.841768i
$139$	9.77919	−	5.64602i	0.829460	−	0.478889i	−0.0242076	−	0.999707i	$-0.507706\pi$
$139$	9.77919	−	5.64602i	0.829460	−	0.478889i	0.853668	+	0.520818i	$0.174373\pi$
$140$	1.21670	+	14.3338i	0.102830	+	1.21143i
$141$	−15.1984	−	8.77482i	−1.27994	−	0.738973i
$142$	5.55091	−	6.04205i	0.465822	−	0.507038i
$143$	0.166784	+	0.0962931i	0.0139472	+	0.00805243i
$144$	0.956924	−	2.58740i	0.0797436	−	0.215617i
$145$	−1.34657	+	2.33233i	−0.111827	+	0.193690i
$146$	−6.54970	−	1.46092i	−0.542057	−	0.120907i
$147$			23.2123i			1.91452i
$148$	−10.3998	+	6.31225i	−0.854857	+	0.518864i
$149$			11.7697i			0.964208i	0.876114	+	0.482104i	$0.160127\pi$
$149$			11.7697i			0.964208i	−0.876114	+	0.482104i	$0.839873\pi$
$150$	−1.25279	+	5.61659i	−0.102290	+	0.458593i
$151$	0.667806	−	1.15667i	0.0543453	−	0.0941288i	−0.837573	−	0.546325i	$-0.816026\pi$
$151$	0.667806	−	1.15667i	0.0543453	−	0.0941288i	0.891918	+	0.452197i	$0.149360\pi$
$152$	3.36129	−	1.37704i	0.272637	−	0.111693i
$153$	1.95941	+	1.13126i	0.158409	+	0.0914572i
$154$	−1.03392	−	0.949878i	−0.0833158	−	0.0765433i
$155$	3.50018	+	2.02083i	0.281141	+	0.162317i
$156$	2.77300	−	0.235381i	0.222018	−	0.0188456i
$157$	1.71623	−	0.990864i	0.136970	−	0.0790796i	−0.429949	−	0.902853i	$-0.641469\pi$
$157$	1.71623	−	0.990864i	0.136970	−	0.0790796i	0.566919	+	0.823773i	$0.308135\pi$
$158$	10.7405	+	9.86740i	0.854465	+	0.785008i
$159$	−14.5606			−1.15473
$160$	−8.61083	−	0.431755i	−0.680746	−	0.0341333i
$161$	−25.5311	−	14.7404i	−2.01214	−	1.16171i
$162$	−6.17631	+	6.72279i	−0.485257	+	0.528192i
$163$	0.914340	+	1.58368i	0.0716167	+	0.124044i	0.899610	−	0.436694i	$-0.143851\pi$
$163$	0.914340	+	1.58368i	0.0716167	+	0.124044i	−0.827993	+	0.560738i	$0.810518\pi$
$164$	−3.87754	+	2.70016i	−0.302785	+	0.210847i
$165$	0.243671	+	0.422051i	0.0189698	+	0.0328566i
$166$	13.5251	−	4.24524i	1.04975	−	0.329494i
$167$	−16.5956	−	9.58146i	−1.28420	−	0.741436i	−0.306590	−	0.951842i	$-0.599188\pi$
$167$	−16.5956	−	9.58146i	−1.28420	−	0.741436i	−0.977614	+	0.210406i	$0.932521\pi$
$168$	−20.1048	−	2.72624i	−1.55112	−	0.210334i
$169$	6.08096	+	10.5325i	0.467766	+	0.810195i
$170$	1.53937	−	6.90141i	0.118064	−	0.529314i
$171$	0.885716			0.0677324
$172$	−11.9859	−	5.62692i	−0.913920	−	0.429049i
$173$	−3.41085	+	1.96925i	−0.259322	+	0.149720i	−0.624025	−	0.781404i	$-0.714504\pi$
$173$	−3.41085	+	1.96925i	−0.259322	+	0.149720i	0.364703	+	0.931124i	$0.381170\pi$
$174$	−2.79713	−	2.56976i	−0.212050	−	0.194813i
$175$	−12.6340			−0.955037
$176$	0.647398	−	0.537549i	0.0487995	−	0.0405193i
$177$			18.0415i			1.35608i
$178$	6.02263	−	1.89037i	0.451415	−	0.141689i
$179$	21.0549			1.57372			0.786859	−	0.617133i	$-0.211706\pi$
$179$	21.0549			1.57372			0.786859	+	0.617133i	$0.211706\pi$
$180$	−1.90300	−	0.893382i	−0.141841	−	0.0665888i
$181$	3.03554	+	1.75257i	0.225630	+	0.130268i	0.608555	−	0.793512i	$-0.291750\pi$
$181$	3.03554	+	1.75257i	0.225630	+	0.130268i	−0.382924	+	0.923780i	$0.625083\pi$
$182$	1.82974	+	5.82947i	0.135629	+	0.432109i
$183$	7.87393	−	4.54602i	0.582058	−	0.336051i
$184$	10.8104	−	13.9758i	0.796957	−	1.03031i
$185$	4.12273	+	8.30364i	0.303109	+	0.610496i
$186$	−3.85648	+	4.19770i	−0.282771	+	0.307790i
$187$	0.345067	+	0.597673i	0.0252338	+	0.0437062i
$188$	20.9031	+	9.81319i	1.52452	+	0.715701i
$189$	−22.9208	−	13.2333i	−1.66724	−	0.962584i
$190$	−0.828970	−	2.64106i	−0.0601398	−	0.191603i
$191$		−	16.5324i		−	1.19624i	−0.801406	−	0.598121i	$-0.795914\pi$
$191$		−	16.5324i		−	1.19624i	0.801406	−	0.598121i	$-0.204086\pi$
$192$	3.23823	−	11.7207i	0.233699	−	0.845869i
$193$		−	25.0176i		−	1.80081i	−0.435054	−	0.900404i	$-0.643271\pi$
$193$		−	25.0176i		−	1.80081i	0.435054	−	0.900404i	$-0.356729\pi$
$194$	−1.02801	+	4.60885i	−0.0738069	+	0.330896i
$195$		−	2.12078i		−	0.151872i
$196$	−2.58330	−	30.4336i	−0.184521	−	2.17383i
$197$	−24.0168	+	13.8661i	−1.71113	+	0.987920i	−0.778082	+	0.628162i	$0.783807\pi$
$197$	−24.0168	+	13.8661i	−1.71113	+	0.987920i	−0.933046	+	0.359758i	$0.882859\pi$
$198$	0.195766	−	0.0614464i	0.0139125	−	0.00436681i
$199$			20.3746i			1.44432i	0.691726	+	0.722160i	$0.256850\pi$
$199$			20.3746i			1.44432i	−0.691726	+	0.722160i	$0.743150\pi$
$200$	1.01746	−	7.50331i	0.0719451	−	0.530564i
$201$	9.66908	+	16.7473i	0.682005	+	1.18127i
$202$	−3.03927	+	13.6258i	−0.213842	+	0.958710i
$203$	4.16956	−	7.22188i	0.292645	−	0.506877i
$204$	9.02751	+	4.23805i	0.632052	+	0.296723i
$205$	1.80037	+	3.11834i	0.125744	+	0.217794i
$206$	−2.31735	+	10.3893i	−0.161457	+	0.723856i
$207$	3.73111	−	2.15416i	0.259330	−	0.149724i
$208$	−3.60948	+	0.617215i	−0.250272	+	0.0427961i
$209$	0.233972	+	0.135084i	0.0161842	+	0.00934395i
$210$	−3.36593	+	15.0903i	−0.232271	+	1.04133i
$211$			25.7073i			1.76976i	0.465818	+	0.884881i	$0.345760\pi$
$211$			25.7073i			1.76976i	−0.465818	+	0.884881i	$0.654240\pi$
$212$	19.0903	−	1.62045i	1.31113	−	0.111293i
$213$	7.63697	−	4.40921i	0.523277	−	0.302114i
$214$	6.64568	+	6.10548i	0.454290	+	0.417362i
$215$	−5.04519	+	8.73853i	−0.344079	+	0.595963i
$216$	9.70518	−	12.5470i	0.660354	−	0.853712i
$217$	−10.8380	−	6.25733i	−0.735732	−	0.424775i
$218$	−8.15062	−	25.9675i	−0.552030	−	1.75874i
$219$	−6.24622	−	3.60626i	−0.422080	−	0.243688i
$220$	−0.366446	−	0.526231i	−0.0247058	−	0.0354785i
$221$		−	3.00326i		−	0.202021i
$222$	−12.6963	+	3.12559i	−0.852117	+	0.209776i
$223$	28.0641			1.87931			0.939655	−	0.342122i	$-0.111146\pi$
$223$	28.0641			1.87931			0.939655	+	0.342122i	$0.111146\pi$
$224$	26.6627	+	1.33689i	1.78148	+	0.0893250i
$225$	0.923160	−	1.59896i	0.0615440	−	0.106597i
$226$	6.33541	−	1.98855i	0.421426	−	0.132276i
$227$	8.22118	−	14.2395i	0.545659	−	0.945109i	−0.452906	−	0.891558i	$-0.649613\pi$
$227$	8.22118	−	14.2395i	0.545659	−	0.945109i	0.998565	−	0.0535506i	$-0.0170538\pi$
$228$	3.89009	−	0.330203i	0.257627	−	0.0218682i
$229$	8.53070	+	4.92520i	0.563725	+	0.325467i	0.754639	−	0.656140i	$-0.227812\pi$
$229$	8.53070	+	4.92520i	0.563725	+	0.325467i	−0.190915	+	0.981607i	$0.561145\pi$
$230$	−9.91541	−	9.10942i	−0.653803	−	0.600657i
$231$	−0.754508	−	1.30685i	−0.0496430	−	0.0859842i
$232$	3.95329	+	3.05790i	0.259546	+	0.200761i
$233$	17.0653			1.11798			0.558992	−	0.829173i	$-0.311188\pi$
$233$	17.0653			1.11798			0.558992	+	0.829173i	$0.311188\pi$
$234$	−0.871479	−	0.194385i	−0.0569704	−	0.0127073i
$235$	8.79867	−	15.2397i	0.573962	−	0.994131i
$236$	−2.00783	−	23.6541i	−0.130699	−	1.53975i
$237$	7.83789	+	13.5756i	0.509126	+	0.881831i
$238$	−4.76654	+	21.3696i	−0.308969	+	1.38519i
$239$	−9.98571	+	5.76525i	−0.645922	+	0.372923i	−0.786892	−	0.617091i	$-0.788311\pi$
$239$	−9.98571	+	5.76525i	−0.645922	+	0.372923i	0.140970	+	0.990014i	$0.454978\pi$
$240$	−8.69108	−	3.21430i	−0.561007	−	0.207482i
$241$	14.8427	+	8.56943i	0.956102	+	0.552006i	0.894971	−	0.446124i	$-0.147196\pi$
$241$	14.8427	+	8.56943i	0.956102	+	0.552006i	0.0611309	+	0.998130i	$0.480529\pi$
$242$	−15.1221	−	3.37302i	−0.972089	−	0.216826i
$243$	6.07316	−	3.50634i	0.389594	−	0.224932i
$244$	−9.81755	+	6.83655i	−0.628504	+	0.437665i
$245$	−23.2754			−1.48701
$246$	−4.84535	+	1.52085i	−0.308928	+	0.0969657i
$247$	−0.587847	−	1.01818i	−0.0374038	−	0.0647853i
$248$	4.58905	−	5.93277i	0.291405	−	0.376732i
$249$	15.2359			0.965534
$250$	−16.1504	−	3.60238i	−1.02144	−	0.227835i
$251$	−11.6102			−0.732831			−0.366415	−	0.930451i	$-0.619415\pi$
$251$	−11.6102			−0.732831			−0.366415	+	0.930451i	$0.619415\pi$
$252$	5.89248	+	2.76628i	0.371191	+	0.174259i
$253$	1.31416			0.0826203
$254$	−1.98016	−	6.30869i	−0.124246	−	0.395842i
$255$	3.79991	−	6.58163i	0.237959	−	0.412158i
$256$	−2.94123	+	15.7273i	−0.183827	+	0.982959i
$257$	−1.07861	+	0.622733i	−0.0672816	+	0.0388450i	−0.533263	−	0.845949i	$-0.679035\pi$
$257$	−1.07861	+	0.622733i	−0.0672816	+	0.0388450i	0.465982	+	0.884794i	$0.345701\pi$
$258$	−10.4800	−	9.62807i	−0.652454	−	0.599418i
$259$	−12.7657	−	25.7115i	−0.793222	−	1.59764i
$260$	0.236021	+	2.78054i	0.0146374	+	0.172442i
$261$	0.609337	+	1.05540i	0.0377170	+	0.0653278i
$262$	−2.05599	−	6.55031i	−0.127020	−	0.404679i
$263$	−9.97223	+	17.2724i	−0.614914	+	1.06506i	0.375485	+	0.926828i	$0.377476\pi$
$263$	−9.97223	+	17.2724i	−0.614914	+	1.06506i	−0.990400	+	0.138234i	$0.955857\pi$
$264$	0.836900	−	0.342858i	0.0515076	−	0.0211014i
$265$		−	14.6002i		−	0.896881i
$266$	2.56684	+	8.17782i	0.157383	+	0.501414i
$267$	6.78440			0.415199
$268$	−14.5409	−	20.8813i	−0.888227	−	1.27553i
$269$		−	13.1662i		−	0.802756i	−0.915913	−	0.401378i	$-0.868531\pi$
$269$		−	13.1662i		−	0.802756i	0.915913	−	0.401378i	$-0.131469\pi$
$270$	−8.90165	−	8.17806i	−0.541737	−	0.497701i
$271$	−2.69450	−	4.66700i	−0.163679	−	0.283500i	0.772506	−	0.635007i	$-0.219003\pi$
$271$	−2.69450	−	4.66700i	−0.163679	−	0.283500i	−0.936185	+	0.351507i	$0.885669\pi$
$272$	−12.3076	−	4.55182i	−0.746256	−	0.275995i
$273$			6.56681i			0.397441i
$274$	11.5895	+	2.58506i	0.700149	+	0.156169i
$275$	0.487727	−	0.281590i	0.0294111	−	0.0169805i
$276$	15.5840	−	10.8521i	0.938049	−	0.653220i
$277$	−4.08253	+	7.07115i	−0.245296	+	0.424864i	−0.962215	−	0.272292i	$-0.912218\pi$
$277$	−4.08253	+	7.07115i	−0.245296	+	0.424864i	0.716919	+	0.697156i	$0.245552\pi$
$278$	−15.2364	+	4.78238i	−0.913821	+	0.286828i
$279$	1.58386	−	0.914444i	0.0948234	−	0.0547463i
$280$	2.73365	−	20.1595i	0.163367	−	1.20476i
$281$	−5.84337	+	3.37367i	−0.348586	+	0.201256i	−0.664062	−	0.747677i	$-0.731169\pi$
$281$	−5.84337	+	3.37367i	−0.348586	+	0.201256i	0.315476	+	0.948934i	$0.397836\pi$
$282$	18.2767	+	16.7911i	1.08836	+	0.999895i
$283$	7.08563	−	12.2727i	0.421197	−	0.729535i	−0.574860	−	0.818252i	$-0.694943\pi$
$283$	7.08563	−	12.2727i	0.421197	−	0.729535i	0.996057	+	0.0887172i	$0.0282767\pi$
$284$	−9.52210	+	6.63081i	−0.565033	+	0.393466i
$285$		−	2.97512i		−	0.176231i
$286$	−0.200565	−	0.184262i	−0.0118597	−	0.0108956i
$287$	−5.57471	−	9.65568i	−0.329065	−	0.569957i
$288$	−2.11744	+	3.27676i	−0.124771	+	0.193085i
$289$	−3.11889	+	5.40208i	−0.183464	+	0.317769i
$290$	2.57674	−	2.80473i	0.151311	−	0.164699i
$291$	−2.53762	+	4.39529i	−0.148758	+	0.257657i
$292$	8.59073	+	4.03300i	0.502734	+	0.236014i
$293$	−19.3318	−	11.1612i	−1.12937	−	0.652045i	−0.185597	−	0.982626i	$-0.559422\pi$
$293$	−19.3318	−	11.1612i	−1.12937	−	0.652045i	−0.943777	+	0.330581i	$0.892755\pi$
$294$	7.14655	−	32.0399i	0.416795	−	1.86860i
$295$	−18.0905			−1.05327
$296$	16.2982	−	5.51091i	0.947311	−	0.320315i
$297$	1.17980			0.0684587
$298$	3.62361	−	16.2456i	0.209910	−	0.941082i
$299$	−4.95265	−	2.85942i	−0.286419	−	0.165364i
$300$	3.45844	−	7.36684i	0.199673	−	0.425325i
$301$	15.6220	−	27.0581i	0.900438	−	1.55960i
$302$	−1.27788	+	1.39095i	−0.0735338	+	0.0800401i
$303$	−7.50236	+	12.9945i	−0.431000	+	0.746513i
$304$	−5.06353	+	0.865855i	−0.290413	+	0.0496602i
$305$	4.55837	+	7.89533i	0.261012	+	0.452085i
$306$	−2.35627	−	2.16473i	−0.134699	−	0.123749i
$307$			26.7053i			1.52415i	0.647487	+	0.762076i	$0.275820\pi$
$307$			26.7053i			1.52415i	−0.647487	+	0.762076i	$0.724180\pi$
$308$	1.13467	+	1.62943i	0.0646539	+	0.0928455i
$309$	−5.72033	+	9.90791i	−0.325418	+	0.563641i
$310$	−4.20911	−	3.86696i	−0.239061	−	0.219629i
$311$	17.9013	−	10.3353i	1.01509	−	0.586061i	0.102410	−	0.994742i	$-0.467345\pi$
$311$	17.9013	−	10.3353i	1.01509	−	0.586061i	0.912677	+	0.408682i	$0.134011\pi$
$312$	−3.90003	−	0.528849i	−0.220796	−	0.0299402i
$313$	−13.8339	+	7.98703i	−0.781940	+	0.451453i	−0.837117	−	0.547023i	$-0.815761\pi$
$313$	−13.8339	+	7.98703i	−0.781940	+	0.451453i	0.0551773	+	0.998477i	$0.482428\pi$
$314$	−2.67396	+	0.839297i	−0.150900	+	0.0473643i
$315$	2.48029	−	4.29600i	0.139749	−	0.242052i
$316$	−11.7870	−	16.9267i	−0.663073	−	0.952199i
$317$	−1.74849	+	1.00949i	−0.0982050	+	0.0566987i	−0.548298	−	0.836283i	$-0.684724\pi$
$317$	−1.74849	+	1.00949i	−0.0982050	+	0.0566987i	0.450093	+	0.892982i	$0.351391\pi$
$318$	20.0979	+	4.48287i	1.12703	+	0.251387i
$319$			0.371730i			0.0208129i
$320$	11.7526	+	3.24703i	0.656988	+	0.181514i
$321$	4.84971	+	8.39995i	0.270684	+	0.468839i
$322$	30.7022	+	28.2065i	1.71097	+	1.57189i
$323$		−	4.21311i		−	0.234424i
$324$	10.5949	−	7.37788i	0.588607	−	0.409882i
$325$	−2.45079			−0.135946
$326$	−0.774479	−	2.46745i	−0.0428944	−	0.136660i
$327$		−	29.2520i		−	1.61764i
$328$	6.18346	−	2.53322i	0.341425	−	0.139873i
$329$	−27.2443	+	47.1886i	−1.50203	+	2.60159i
$330$	−0.206398	−	0.657576i	−0.0113619	−	0.0361983i
$331$	−10.5769	−	18.3198i	−0.581361	−	1.00695i	−0.995318	−	0.0966502i	$-0.969187\pi$
$331$	−10.5769	−	18.3198i	−0.581361	−	1.00695i	0.413958	−	0.910296i	$-0.364146\pi$
$332$	−19.9757	+	1.69560i	−1.09631	+	0.0930581i
$333$	4.18685	+	0.263103i	0.229438	+	0.0144180i
$334$	19.9569	+	18.3346i	1.09199	+	1.00323i
$335$	−16.7929	+	9.69536i	−0.917492	+	0.529714i
$336$	26.9112	+	9.95282i	1.46813	+	0.542971i
$337$	−6.49549	+	11.2505i	−0.353832	+	0.612855i	−0.986917	−	0.161227i	$-0.948455\pi$
$337$	−6.49549	+	11.2505i	−0.353832	+	0.612855i	0.633086	+	0.774082i	$0.281788\pi$
$338$	−5.15079	−	16.4102i	−0.280166	−	0.892596i
$339$	7.13675			0.387615
$340$	−4.24957	+	9.05204i	−0.230465	+	0.490916i
$341$	0.557862			0.0302099
$342$	−1.22255	−	0.272692i	−0.0661078	−	0.0147455i
$343$	39.0355			2.10772
$344$	14.8117	+	11.4570i	0.798595	+	0.617720i
$345$	−7.23580	−	12.5328i	−0.389563	−	0.674742i
$346$	5.31426	−	1.66803i	0.285696	−	0.0896737i
$347$	26.5921			1.42754			0.713769	−	0.700381i	$-0.246986\pi$
$347$	26.5921			1.42754			0.713769	+	0.700381i	$0.246986\pi$
$348$	3.06969	+	4.40819i	0.164553	+	0.236304i
$349$	−18.5765	+	10.7251i	−0.994375	+	0.574103i	−0.906579	−	0.422036i	$-0.861316\pi$
$349$	−18.5765	+	10.7251i	−0.994375	+	0.574103i	−0.0877961	+	0.996138i	$0.527982\pi$
$350$	17.4386	+	3.88970i	0.932131	+	0.207913i
$351$	−4.44629	−	2.56707i	−0.237325	−	0.137020i
$352$	−1.05910	+	0.542657i	−0.0564502	+	0.0289237i
$353$	−1.22947	+	0.709833i	−0.0654379	+	0.0377806i	−0.532362	−	0.846517i	$-0.678695\pi$
$353$	−1.22947	+	0.709833i	−0.0654379	+	0.0377806i	0.466924	+	0.884297i	$0.345362\pi$
$354$	5.55455	−	24.9025i	0.295221	−	1.32355i
$355$	4.42119	+	7.65773i	0.234653	+	0.406430i
$356$	−8.89500	+	0.755036i	−0.471434	+	0.0400168i
$357$	−11.7661	+	20.3795i	−0.622728	+	1.07860i
$358$	−29.0620	−	6.48232i	−1.53597	−	0.342601i
$359$	8.32975			0.439627			0.219814	−	0.975542i	$-0.429455\pi$
$359$	8.32975			0.439627			0.219814	+	0.975542i	$0.429455\pi$
$360$	2.35165	+	1.81902i	0.123943	+	0.0958707i
$361$	8.67534	+	15.0261i	0.456597	+	0.790849i
$362$	−3.65037	−	3.35364i	−0.191859	−	0.176263i
$363$	−14.4215	−	8.32624i	−0.756931	−	0.437014i
$364$	−0.730819	−	8.60971i	−0.0383053	−	0.451272i
$365$	3.61606	−	6.26319i	0.189273	−	0.327830i
$366$	−12.2680	+	3.85064i	−0.641256	+	0.201276i
$367$	−3.66164	+	6.34215i	−0.191136	+	0.331058i	−0.945627	−	0.325253i	$-0.894551\pi$
$367$	−3.66164	+	6.34215i	−0.191136	+	0.331058i	0.754491	+	0.656311i	$0.227884\pi$
$368$	−19.2244	+	15.9625i	−1.00214	+	0.832103i
$369$	1.62937			0.0848217
$370$	−3.13408	−	12.7308i	−0.162933	−	0.661841i
$371$			45.2082i			2.34709i
$372$	6.61546	−	4.60674i	0.342995	−	0.238848i
$373$	21.3128	+	12.3050i	1.10354	+	0.637127i	0.937147	−	0.348934i	$-0.113456\pi$
$373$	21.3128	+	12.3050i	1.10354	+	0.637127i	0.166388	+	0.986060i	$0.446790\pi$
$374$	−0.292284	−	0.931203i	−0.0151136	−	0.0481513i
$375$	−15.4021	−	8.89241i	−0.795361	−	0.459202i
$376$	−25.8312	−	19.9807i	−1.33214	−	1.03043i
$377$	0.808830	−	1.40094i	0.0416569	−	0.0721518i
$378$	27.5632	+	25.3227i	1.41770	+	1.30246i
$379$	−21.4085	+	12.3602i	−1.09968	+	0.634901i	−0.936137	−	0.351635i	$-0.885626\pi$
$379$	−21.4085	+	12.3602i	−1.09968	+	0.634901i	−0.163544	+	0.986536i	$0.552292\pi$
$380$	0.331100	+	3.90066i	0.0169851	+	0.200100i
$381$		−	7.10665i		−	0.364085i
$382$	−5.08995	+	22.8196i	−0.260424	+	1.16755i
$383$	10.9496	+	6.32176i	0.559498	+	0.323027i	0.752944	−	0.658084i	$-0.228633\pi$
$383$	10.9496	+	6.32176i	0.559498	+	0.323027i	−0.193446	+	0.981111i	$0.561966\pi$
$384$	−8.07824	+	15.1810i	−0.412241	+	0.774704i
$385$	1.31040	−	0.756559i	0.0667841	−	0.0385578i
$386$	−7.70236	+	34.5317i	−0.392040	+	1.75762i
$387$	2.28299	+	3.95426i	0.116051	+	0.201006i
$388$	2.83792	−	6.04506i	0.144073	−	0.306891i
$389$	−13.4173	+	23.2394i	−0.680283	+	1.17828i	0.294611	+	0.955617i	$0.404810\pi$
$389$	−13.4173	+	23.2394i	−0.680283	+	1.17828i	−0.974894	+	0.222668i	$0.928524\pi$
$390$	−0.652938	+	2.92730i	−0.0330628	+	0.148229i
$391$	−10.2467	−	17.7479i	−0.518200	−	0.897548i
$392$	−5.80409	+	42.8027i	−0.293151	+	2.16186i
$393$		−	7.37883i		−	0.372212i
$394$	37.4193	−	11.7451i	1.88516	−	0.591709i
$395$	−13.6125	+	7.85919i	−0.684920	+	0.395439i
$396$	−0.289132	+	0.0245424i	−0.0145294	+	0.00123330i
$397$		−	6.19269i		−	0.310802i	−0.987851	−	0.155401i	$-0.950333\pi$
$397$		−	6.19269i		−	0.310802i	0.987851	−	0.155401i	$-0.0496670\pi$
$398$	6.27288	−	28.1230i	0.314431	−	1.40968i
$399$			9.21220i			0.461187i
$400$	−3.71449	+	10.0435i	−0.185724	+	0.502176i
$401$			16.3013i			0.814048i	0.913417	+	0.407024i	$0.133434\pi$
$401$			16.3013i			0.814048i	−0.913417	+	0.407024i	$0.866566\pi$
$402$	−8.19006	−	26.0931i	−0.408483	−	1.30141i
$403$	−2.10241	−	1.21383i	−0.104729	−	0.0604650i
$404$	8.39016	−	17.8719i	0.417426	−	0.889162i
$405$	−4.91931	−	8.52050i	−0.244443	−	0.423387i
$406$	−7.97866	+	8.68461i	−0.395974	+	0.431010i
$407$	1.06588	+	0.708055i	0.0528337	+	0.0350970i
$408$	−11.1558	−	8.62912i	−0.552295	−	0.427205i
$409$	21.6597	−	12.5052i	1.07100	−	0.618345i	0.142549	−	0.989788i	$-0.454470\pi$
$409$	21.6597	−	12.5052i	1.07100	−	0.618345i	0.928456	+	0.371443i	$0.121137\pi$
$410$	−1.52498	−	4.85852i	−0.0753135	−	0.239945i
$411$	11.0525	+	6.38118i	0.545181	+	0.314760i
$412$	6.39725	−	13.6268i	0.315170	−	0.671345i
$413$	56.0157			2.75635
$414$	−5.81324	+	1.82465i	−0.285705	+	0.0896765i
$415$			15.2773i			0.749932i
$416$	5.17217	+	0.259337i	0.253586	+	0.0127151i
$417$	−17.1636			−0.840507
$418$	−0.281361	−	0.258490i	−0.0137618	−	0.0126432i
$419$	31.0488	−	17.9260i	1.51683	−	0.875743i	0.517027	−	0.855969i	$-0.327039\pi$
$419$	31.0488	−	17.9260i	1.51683	−	0.875743i	0.999804	−	0.0197735i	$-0.00629450\pi$
$420$	9.29193	−	19.7928i	0.453400	−	0.965790i
$421$	−11.2114			−0.546408			−0.273204	−	0.961956i	$-0.588083\pi$
$421$	−11.2114			−0.546408			−0.273204	+	0.961956i	$0.588083\pi$
$422$	7.91468	−	35.4836i	0.385280	−	1.72731i
$423$	−3.98148	−	6.89612i	−0.193586	−	0.335301i
$424$	−26.8492	−	3.64078i	−1.30391	−	0.176812i
$425$	−7.60581	−	4.39122i	−0.368936	−	0.213005i
$426$	−11.8988	+	3.73476i	−0.576497	+	0.180950i
$427$	−14.1146	−	24.4472i	−0.683054	−	1.18308i
$428$	−7.29326	−	10.4734i	−0.352533	−	0.506251i
$429$	−0.146363	−	0.253508i	−0.00706648	−	0.0122395i
$430$	9.65424	−	10.5084i	0.465569	−	0.506762i
$431$	19.9633	+	11.5258i	0.961597	+	0.555178i	0.896664	−	0.442712i	$-0.145983\pi$
$431$	19.9633	+	11.5258i	0.961597	+	0.555178i	0.0649325	+	0.997890i	$0.479317\pi$
$432$	−17.2589	+	14.3305i	−0.830370	+	0.689476i
$433$	40.1267			1.92836			0.964182	−	0.265240i	$-0.0854511\pi$
$433$	40.1267			1.92836			0.964182	+	0.265240i	$0.0854511\pi$
$434$	13.0332	+	11.9737i	0.625612	+	0.574758i
$435$	3.54509	−	2.04676i	0.169974	−	0.0981347i
$436$	3.25546	+	38.3522i	0.155908	+	1.83674i
$437$	−6.94779	−	4.01131i	−0.332358	−	0.191887i
$438$	7.51133	+	6.90076i	0.358905	+	0.329731i
$439$	14.3362	+	8.27701i	0.684230	+	0.395040i	0.801447	−	0.598066i	$-0.204064\pi$
$439$	14.3362	+	8.27701i	0.684230	+	0.395040i	−0.117217	+	0.993106i	$0.537397\pi$
$440$	0.343789	+	0.839174i	0.0163895	+	0.0400061i
$441$	−5.26617	+	9.12128i	−0.250770	+	0.434347i
$442$	−0.924636	+	4.14539i	−0.0439804	+	0.197176i
$443$		−	7.52266i		−	0.357412i	−0.983903	−	0.178706i	$-0.942809\pi$
$443$		−	7.52266i		−	0.357412i	0.983903	−	0.178706i	$-0.0571911\pi$
$444$	18.4869	−	0.405342i	0.877348	−	0.0192367i
$445$			6.80284i			0.322486i
$446$	−38.7367	−	8.64029i	−1.83424	−	0.409130i
$447$	8.94480	−	15.4928i	0.423075	−	0.732787i
$448$	−36.3908	−	10.0542i	−1.71930	−	0.475014i
$449$	−7.70464	−	4.44828i	−0.363604	−	0.209927i	0.307056	−	0.951691i	$-0.400656\pi$
$449$	−7.70464	−	4.44828i	−0.363604	−	0.209927i	−0.670661	+	0.741764i	$0.733989\pi$
$450$	−1.76652	+	1.92282i	−0.0832743	+	0.0906424i
$451$	0.430418	+	0.248502i	0.0202676	+	0.0117015i
$452$	−9.35696	+	0.794248i	−0.440114	+	0.0373583i
$453$	−1.75812	+	1.01505i	−0.0826035	+	0.0476912i
$454$	−15.7317	+	17.1236i	−0.738323	+	0.803650i
$455$	−6.58466			−0.308693
$456$	−5.47113	−	0.741892i	−0.256209	−	0.0347423i
$457$	−28.5202	−	16.4661i	−1.33412	−	0.770252i	−0.348189	−	0.937424i	$-0.613203\pi$
$457$	−28.5202	−	16.4661i	−1.33412	−	0.770252i	−0.985928	+	0.167172i	$0.946536\pi$
$458$	−10.2585	−	9.42463i	−0.479349	−	0.440384i
$459$	−9.19910	−	15.9333i	−0.429377	−	0.743703i
$460$	10.8816	+	15.6264i	0.507357	+	0.728585i
$461$	2.16877	+	3.75642i	0.101010	+	0.174954i	0.912101	−	0.409966i	$-0.134459\pi$
$461$	2.16877	+	3.75642i	0.101010	+	0.174954i	−0.811091	+	0.584920i	$0.801126\pi$
$462$	0.639095	+	2.03613i	0.0297334	+	0.0947293i
$463$	−15.5545	−	8.98037i	−0.722877	−	0.417353i	0.0929335	−	0.995672i	$-0.470376\pi$
$463$	−15.5545	−	8.98037i	−0.722877	−	0.417353i	−0.815811	+	0.578319i	$0.803709\pi$
$464$	−4.51524	−	5.43793i	−0.209615	−	0.252450i
$465$	−3.07161	−	5.32019i	−0.142443	−	0.246718i
$466$	−23.5551	−	5.25401i	−1.09117	−	0.243387i
$467$	−18.9532			−0.877051			−0.438526	−	0.898719i	$-0.644499\pi$
$467$	−18.9532			−0.877051			−0.438526	+	0.898719i	$0.644499\pi$
$468$	1.14305	+	0.536617i	0.0528376	+	0.0248051i
$469$	51.9977	−	30.0209i	2.40103	−	1.38624i
$470$	−16.8367	+	18.3264i	−0.776620	+	0.845335i
$471$	−3.01218			−0.138794
$472$	−4.51115	+	33.2677i	−0.207642	+	1.53127i
$473$			1.39275i			0.0640389i
$474$	−6.63897	−	21.1515i	−0.304938	−	0.971518i
$475$	−3.43808			−0.157750
$476$	13.1584	−	28.0289i	0.603116	−	1.28470i
$477$	−5.72158	−	3.30335i	−0.261973	−	0.151250i
$478$	15.5582	−	4.88337i	0.711616	−	0.223360i
$479$	−20.3192	+	11.7313i	−0.928408	+	0.536016i	−0.886308	−	0.463097i	$-0.846738\pi$
$479$	−20.3192	+	11.7313i	−0.928408	+	0.536016i	−0.0421000	+	0.999113i	$0.513405\pi$
$480$	11.0066	+	7.11247i	0.502382	+	0.324638i
$481$	−2.47635	−	4.98765i	−0.112912	−	0.227417i
$482$	−17.8490	−	16.3981i	−0.812998	−	0.746911i
$483$	22.4051	+	38.8067i	1.01947	+	1.76577i
$484$	19.8345	+	9.31152i	0.901570	+	0.423251i
$485$	−4.40724	−	2.54452i	−0.200122	−	0.115541i
$486$	−9.46228	+	2.97000i	−0.429218	+	0.134722i
$487$			19.7947i			0.896985i	0.893787	+	0.448493i	$0.148039\pi$
$487$			19.7947i			0.896985i	−0.893787	+	0.448493i	$0.851961\pi$
$488$	15.6559	−	6.41385i	0.708710	−	0.290341i
$489$		−	2.77955i		−	0.125696i
$490$	32.1269	+	7.16597i	1.45135	+	0.323726i
$491$			3.70004i			0.166981i	0.996509	+	0.0834903i	$0.0266068\pi$
$491$			3.70004i			0.166981i	−0.996509	+	0.0834903i	$0.973393\pi$
$492$	7.15625	−	0.607445i	0.322628	−	0.0273857i
$493$	5.02026	−	2.89845i	0.226101	−	0.130540i
$494$	0.497927	+	1.58637i	0.0224028	+	0.0713743i
$495$			0.221126i			0.00993889i
$496$	−8.16081	+	6.77611i	−0.366431	+	0.304256i
$497$	−13.6899	−	23.7115i	−0.614074	−	1.06361i
$498$	−21.0300	−	4.69078i	−0.942376	−	0.210199i
$499$	−6.51904	+	11.2913i	−0.291832	+	0.505469i	−0.974243	−	0.225500i	$-0.927598\pi$
$499$	−6.51904	+	11.2913i	−0.291832	+	0.505469i	0.682411	+	0.730969i	$0.260932\pi$
$500$	21.1833	+	9.94469i	0.947344	+	0.444740i
$501$	14.5636	+	25.2249i	0.650653	+	1.12696i
$502$	16.0255	+	3.57452i	0.715254	+	0.159539i
$503$	3.57958	−	2.06667i	0.159605	−	0.0921482i	−0.418070	−	0.908415i	$-0.637293\pi$
$503$	3.57958	−	2.06667i	0.159605	−	0.0921482i	0.577675	+	0.816267i	$0.303960\pi$
$504$	−7.28168	−	5.63244i	−0.324352	−	0.250889i
$505$	−13.0298	−	7.52275i	−0.579818	−	0.334758i
$506$	−1.81392	−	0.404598i	−0.0806386	−	0.0179866i
$507$		−	18.4858i		−	0.820985i
$508$	0.790898	+	9.31749i	0.0350904	+	0.413397i
$509$	−19.9898	+	11.5411i	−0.886033	+	0.511551i	−0.872643	−	0.488359i	$-0.837596\pi$
$509$	−19.9898	+	11.5411i	−0.886033	+	0.511551i	−0.0133901	+	0.999910i	$0.504262\pi$
$510$	−7.27132	+	7.91469i	−0.321980	+	0.350468i
$511$	−11.1968	+	19.3935i	−0.495318	+	0.857916i
$512$	8.90185	−	20.8028i	0.393410	−	0.919363i
$513$	−6.23745	−	3.60119i	−0.275390	−	0.158996i
$514$	1.68052	−	0.527477i	0.0741245	−	0.0232660i
$515$	−9.93483	−	5.73588i	−0.437781	−	0.252753i
$516$	11.5012	+	16.5161i	0.506310	+	0.727081i
$517$		−	2.42892i		−	0.106824i
$518$	9.70442	+	39.4198i	0.426388	+	1.73200i
$519$	5.98644			0.262775
$520$	0.530286	−	3.91063i	0.0232546	−	0.171492i
$521$	21.0864	−	36.5228i	0.923814	−	1.60009i	0.130356	−	0.991467i	$-0.458388\pi$
$521$	21.0864	−	36.5228i	0.923814	−	1.60009i	0.793458	−	0.608625i	$-0.208279\pi$
$522$	−0.516130	−	1.64437i	−0.0225904	−	0.0719720i
$523$	15.8816	−	27.5077i	0.694452	−	1.20283i	−0.275913	−	0.961183i	$-0.588980\pi$
$523$	15.8816	−	27.5077i	0.694452	−	1.20283i	0.970365	−	0.241644i	$-0.0776866\pi$
$524$	0.821189	+	9.67434i	0.0358738	+	0.422626i
$525$	16.6305	+	9.60165i	0.725817	+	0.419050i
$526$	19.0824	−	20.7708i	0.832032	−	0.905649i
$527$	−4.34976	−	7.53400i	−0.189478	−	0.328186i
$528$	−1.26073	+	0.215582i	−0.0548660	+	0.00938200i
$529$	−16.0238			−0.696686
$530$	−4.49506	+	20.1525i	−0.195253	+	0.875370i
$531$	−4.09305	+	7.08938i	−0.177623	+	0.307653i
$532$	−1.02522	−	12.0781i	−0.0444491	−	0.523651i
$533$	−1.08141	−	1.87306i	−0.0468410	−	0.0811311i
$534$	−9.36447	−	2.08876i	−0.405240	−	0.0903896i
$535$	−8.42277	+	4.86289i	−0.364148	+	0.210241i
$536$	13.6418	+	33.2991i	0.589238	+	1.43830i
$537$	−27.7154	−	16.0015i	−1.19601	−	0.690515i
$538$	−4.05356	+	18.1732i	−0.174761	+	0.783502i
$539$	−2.78224	+	1.60633i	−0.119840	+	0.0691895i
$540$	9.76906	+	14.0287i	0.420393	+	0.603701i
$541$	−23.7474			−1.02098			−0.510491	−	0.859883i	$-0.670536\pi$
$541$	−23.7474			−1.02098			−0.510491	+	0.859883i	$0.670536\pi$
$542$	2.28233	+	7.27141i	0.0980346	+	0.312334i
$543$	−2.66387	−	4.61395i	−0.114318	−	0.198004i
$544$	15.5867	+	10.0721i	0.668273	+	0.431837i
$545$	29.3315			1.25642
$546$	2.02177	−	9.06413i	0.0865238	−	0.387909i
$547$	−11.5859			−0.495377			−0.247688	−	0.968840i	$-0.579671\pi$
$547$	−11.5859			−0.495377			−0.247688	+	0.968840i	$0.579671\pi$
$548$	−15.2011	−	7.13630i	−0.649358	−	0.304848i
$549$	4.12541			0.176068
$550$	−0.759902	+	0.238516i	−0.0324023	+	0.0101704i
$551$	1.13466	−	1.96529i	0.0483382	−	0.0837242i
$552$	−24.8517	+	10.1811i	−1.05776	+	0.433338i
$553$	42.1500	−	24.3353i	1.79240	−	1.03484i
$554$	7.81214	−	8.50335i	0.331906	−	0.361273i
$555$	0.883762	−	14.0636i	0.0375136	−	0.596968i
$556$	22.5032	−	1.91014i	0.954346	−	0.0810079i
$557$	6.30165	+	10.9148i	0.267009	+	0.462474i	0.968088	−	0.250610i	$-0.0806312\pi$
$557$	6.30165	+	10.9148i	0.267009	+	0.462474i	−0.701079	+	0.713084i	$0.747298\pi$
$558$	−2.46773	+	0.774566i	−0.104467	+	0.0327900i
$559$	3.03043	−	5.24887i	0.128174	−	0.222003i
$560$	−9.97987	+	26.9844i	−0.421726	+	1.14030i
$561$		−	1.04899i		−	0.0442882i
$562$	9.10425	−	2.85762i	0.384040	−	0.120541i
$563$	6.29921			0.265480			0.132740	−	0.991151i	$-0.457622\pi$
$563$	6.29921			0.265480			0.132740	+	0.991151i	$0.457622\pi$
$564$	−20.0577	−	28.8036i	−0.844581	−	1.21285i
$565$			7.15615i			0.301061i
$566$	−13.5587	+	14.7584i	−0.569916	+	0.620342i
$567$	15.2322	+	26.3830i	0.639694	+	1.10798i
$568$	15.1848	−	6.22083i	0.637139	−	0.261020i
$569$		−	17.0889i		−	0.716404i	−0.933644	−	0.358202i	$-0.883390\pi$
$569$		−	17.0889i		−	0.716404i	0.933644	−	0.358202i	$-0.116610\pi$
$570$	−0.915970	+	4.10653i	−0.0383657	+	0.172004i
$571$	2.86439	−	1.65376i	0.119871	−	0.0692076i	−0.438866	−	0.898553i	$-0.644620\pi$
$571$	2.86439	−	1.65376i	0.119871	−	0.0692076i	0.558737	+	0.829345i	$0.311286\pi$
$572$	0.220109	+	0.316085i	0.00920322	+	0.0132162i
$573$	−12.5644	+	21.7622i	−0.524886	+	0.909130i
$574$	4.72198	+	15.0440i	0.197092	+	0.627925i
$575$	−14.4830	+	8.36178i	−0.603984	+	0.348710i
$576$	3.93153	−	3.87099i	0.163814	−	0.161291i
$577$	25.7058	−	14.8413i	1.07015	−	0.617850i	0.141926	−	0.989877i	$-0.454670\pi$
$577$	25.7058	−	14.8413i	1.07015	−	0.617850i	0.928222	+	0.372027i	$0.121337\pi$
$578$	5.96817	−	6.49622i	0.248243	−	0.270207i
$579$	−19.0131	+	32.9317i	−0.790158	+	1.36859i
$580$	−4.42017	+	3.07803i	−0.183538	+	0.127808i
$581$		−	47.3048i		−	1.96254i
$582$	4.85588	−	5.28552i	0.201283	−	0.219092i
$583$	−1.00762	−	1.74524i	−0.0417312	−	0.0722805i
$584$	−10.6161	−	8.21162i	−0.439296	−	0.339799i
$585$	0.481139	−	0.833358i	0.0198927	−	0.0344551i
$586$	23.2473	+	21.3576i	0.960335	+	0.882272i
$587$	−23.4040	+	40.5368i	−0.965985	+	1.67313i	−0.259039	+	0.965867i	$0.583406\pi$
$587$	−23.4040	+	40.5368i	−0.965985	+	1.67313i	−0.706946	+	0.707268i	$0.749928\pi$
$588$	−19.7287	+	42.0242i	−0.813597	+	1.73305i
$589$	−2.94935	−	1.70281i	−0.121526	−	0.0701630i
$590$	24.9702	+	5.56964i	1.02801	+	0.229299i
$591$	42.1523			1.73392
$592$	−24.1929	+	2.58884i	−0.994323	+	0.106401i
$593$	5.72203			0.234976			0.117488	−	0.993074i	$-0.462516\pi$
$593$	5.72203			0.234976			0.117488	+	0.993074i	$0.462516\pi$
$594$	−1.62847	−	0.363232i	−0.0668167	−	0.0149036i
$595$	−20.4349	−	11.7981i	−0.837748	−	0.483674i
$596$	−10.0033	+	21.3081i	−0.409751	+	0.872812i
$597$	15.4845	−	26.8199i	0.633737	−	1.09767i
$598$	5.95577	+	5.47164i	0.243550	+	0.223752i
$599$	8.93213	−	15.4709i	0.364957	−	0.632124i	−0.623812	−	0.781574i	$-0.714417\pi$
$599$	8.93213	−	15.4709i	0.364957	−	0.632124i	0.988769	+	0.149450i	$0.0477504\pi$
$600$	−7.04174	+	9.10363i	−0.287478	+	0.371654i
$601$	8.72002	+	15.1035i	0.355697	+	0.616085i	0.987237	−	0.159258i	$-0.0509102\pi$
$601$	8.72002	+	15.1035i	0.355697	+	0.616085i	−0.631540	+	0.775343i	$0.717577\pi$
$602$	−29.8936	+	32.5385i	−1.21837	+	1.32617i
$603$			8.77448i			0.357324i
$604$	2.19209	−	1.52649i	0.0891950	−	0.0621119i
$605$	8.34886	−	14.4607i	0.339430	−	0.587909i
$606$	14.3562	−	15.6264i	0.583179	−	0.634779i
$607$	15.8372	−	9.14361i	0.642812	−	0.371128i	−0.142885	−	0.989739i	$-0.545638\pi$
$607$	15.8372	−	9.14361i	0.642812	−	0.371128i	0.785697	+	0.618612i	$0.212305\pi$
$608$	7.25573	+	0.363809i	0.294259	+	0.0147544i
$609$	−10.9771	+	6.33762i	−0.444814	+	0.256814i
$610$	−3.86110	−	12.3013i	−0.156331	−	0.498065i
$611$	−5.28499	+	9.15387i	−0.213808	+	0.370326i
$612$	2.58587	+	3.71341i	0.104528	+	0.150106i
$613$	24.2636	−	14.0086i	0.979998	−	0.565802i	0.0777285	−	0.996975i	$-0.475233\pi$
$613$	24.2636	−	14.0086i	0.979998	−	0.565802i	0.902270	+	0.431172i	$0.141900\pi$
$614$	8.22195	−	36.8612i	0.331811	−	1.48760i
$615$		−	5.47305i		−	0.220695i
$616$	−1.06452	−	2.59843i	−0.0428905	−	0.104694i
$617$	−6.23669	−	10.8023i	−0.251080	−	0.434883i	0.712744	−	0.701425i	$-0.247452\pi$
$617$	−6.23669	−	10.8023i	−0.251080	−	0.434883i	−0.963823	+	0.266542i	$0.914119\pi$
$618$	10.9462	−	11.9147i	0.440319	−	0.479278i
$619$		−	11.6262i		−	0.467296i	−0.972321	−	0.233648i	$-0.924934\pi$
$619$		−	11.6262i		−	0.467296i	0.972321	−	0.233648i	$-0.0750664\pi$
$620$	4.61926	+	6.63344i	0.185514	+	0.266405i
$621$	−35.0340			−1.40586
$622$	−27.8910	+	8.75436i	−1.11833	+	0.351018i
$623$		−	21.0644i		−	0.843929i
$624$	5.22037	+	1.93070i	0.208982	+	0.0772897i
$625$	2.22383	−	3.85178i	0.0889532	−	0.154071i
$626$	21.5539	−	6.76529i	0.861468	−	0.270396i
$627$	−0.205324	−	0.355632i	−0.00819987	−	0.0142026i
$628$	3.94925	−	0.335225i	0.157592	−	0.0133769i
$629$	1.25151	−	19.9157i	0.0499009	−	0.794092i
$630$	−4.74617	+	5.16611i	−0.189092	+	0.205823i
$631$	−4.25170	+	2.45472i	−0.169257	+	0.0977209i	−0.582236	−	0.813020i	$-0.697822\pi$
$631$	−4.25170	+	2.45472i	−0.169257	+	0.0977209i	0.412978	+	0.910741i	$0.364489\pi$
$632$	11.0583	+	26.9927i	0.439874	+	1.07371i
$633$	19.5372	−	33.8394i	0.776535	−	1.34500i
$634$	2.72423	−	0.855075i	0.108193	−	0.0339594i
$635$	7.12596			0.282785
$636$	−26.3608	−	12.3754i	−1.04528	−	0.490715i
$637$	13.9806			0.553930
$638$	0.114447	−	0.513096i	0.00453100	−	0.0203137i
$639$	4.00126			0.158287
$640$	−15.2223	−	8.10019i	−0.601714	−	0.320188i
$641$	−2.71549	−	4.70337i	−0.107256	−	0.185772i	0.807402	−	0.590002i	$-0.200873\pi$
$641$	−2.71549	−	4.70337i	−0.107256	−	0.185772i	−0.914657	+	0.404230i	$0.867540\pi$
$642$	−4.10788	−	13.0875i	−0.162125	−	0.516523i
$643$	−21.3286			−0.841120			−0.420560	−	0.907265i	$-0.638166\pi$
$643$	−21.3286			−0.841120			−0.420560	+	0.907265i	$0.638166\pi$
$644$	−33.6940	−	48.3858i	−1.32773	−	1.90667i
$645$	13.2824	−	7.66857i	0.522992	−	0.301950i
$646$	−1.29712	+	5.81533i	−0.0510344	+	0.228801i
$647$	−3.52259	−	2.03377i	−0.138487	−	0.0799556i	0.429156	−	0.903231i	$-0.358811\pi$
$647$	−3.52259	−	2.03377i	−0.138487	−	0.0799556i	−0.567643	+	0.823275i	$0.692145\pi$
$648$	−16.8956	+	6.92171i	−0.663721	+	0.271910i
$649$	−2.16246	+	1.24850i	−0.0848839	+	0.0490077i
$650$	3.38282	+	0.754543i	0.132685	+	0.0295956i
$651$	9.51099	+	16.4735i	0.372765	+	0.645648i
$652$	0.309336	+	3.64426i	0.0121145	+	0.142720i
$653$	−20.1509	+	34.9023i	−0.788564	+	1.36583i	0.138283	+	0.990393i	$0.455842\pi$
$653$	−20.1509	+	34.9023i	−0.788564	+	1.36583i	−0.926847	+	0.375440i	$0.877492\pi$
$654$	−9.00603	+	40.3764i	−0.352164	+	1.57884i
$655$	7.39888			0.289098
$656$	−9.31492	+	1.59284i	−0.363686	+	0.0621898i
$657$	−1.63630	−	2.83415i	−0.0638381	−	0.110571i
$658$	52.1335	−	56.7462i	2.03238	−	2.21220i
$659$	21.1512	+	12.2116i	0.823933	+	0.475698i	0.851771	−	0.523914i	$-0.175529\pi$
$659$	21.1512	+	12.2116i	0.823933	+	0.475698i	−0.0278377	+	0.999612i	$0.508862\pi$
$660$	0.0824379	+	0.971193i	0.00320889	+	0.0378036i
$661$	0.656735	−	1.13750i	0.0255440	−	0.0442436i	−0.852971	−	0.521959i	$-0.825202\pi$
$661$	0.656735	−	1.13750i	0.0255440	−	0.0442436i	0.878515	+	0.477715i	$0.158535\pi$
$662$	8.95904	+	28.5431i	0.348203	+	1.10936i
$663$	−2.28244	+	3.95331i	−0.0886428	+	0.153534i
$664$	28.0944	+	3.80963i	1.09027	+	0.147842i
$665$	−9.23723			−0.358205
$666$	−5.69809	−	1.65220i	−0.220796	−	0.0640213i
$667$		−	11.0385i		−	0.427412i
$668$	−21.9015	−	31.4514i	−0.847396	−	1.21689i
$669$	−36.9418	−	21.3284i	−1.42825	−	0.824603i
$670$	26.1641	−	8.21231i	1.01081	−	0.317269i
$671$	1.08978	+	0.629182i	0.0420703	+	0.0242893i
$672$	−34.0811	−	22.0232i	−1.31471	−	0.849562i
$673$	14.5678	−	25.2321i	0.561547	−	0.972627i	−0.435815	−	0.900036i	$-0.643540\pi$
$673$	14.5678	−	25.2321i	0.561547	−	0.972627i	0.997362	−	0.0725910i	$-0.0231268\pi$
$674$	12.4295	−	13.5292i	0.478765	−	0.521126i
$675$	−13.0023	+	7.50687i	−0.500458	+	0.288940i
$676$	2.05729	+	24.2367i	0.0791264	+	0.932180i
$677$		−	28.6213i		−	1.10001i	−0.835163	−	0.550003i	$-0.814627\pi$
$677$		−	28.6213i		−	1.10001i	0.835163	−	0.550003i	$-0.185373\pi$
$678$	−9.85082	−	2.19724i	−0.378318	−	0.0843846i
$679$	13.6467	+	7.87890i	0.523710	+	0.302364i
$680$	8.65257	−	11.1861i	0.331811	−	0.428969i
$681$	−21.6437	+	12.4960i	−0.829388	+	0.478848i
$682$	−0.770013	−	0.171753i	−0.0294853	−	0.00657675i
$683$	−14.2757	−	24.7262i	−0.546244	−	0.946122i	−0.998527	−	0.0542479i	$-0.982724\pi$
$683$	−14.2757	−	24.7262i	−0.546244	−	0.946122i	0.452284	−	0.891874i	$-0.350609\pi$
$684$	1.60352	+	0.752789i	0.0613121	+	0.0287836i
$685$	−6.39852	+	11.0826i	−0.244475	+	0.423443i
$686$	−53.8805	−	12.0181i	−2.05717	−	0.458855i
$687$	−7.48619	−	12.9665i	−0.285616	−	0.494701i
$688$	−16.9172	−	20.3742i	−0.644962	−	0.776760i
$689$			8.76971i			0.334099i
$690$	6.12898	+	19.5267i	0.233326	+	0.743367i
$691$	35.8497	−	20.6978i	1.36379	−	0.787382i	0.373661	−	0.927566i	$-0.378102\pi$
$691$	35.8497	−	20.6978i	1.36379	−	0.787382i	0.990126	+	0.140183i	$0.0447692\pi$
$692$	−7.84879	+	0.666230i	−0.298366	+	0.0253263i
$693$		−	0.684699i		−	0.0260096i
$694$	−36.7049	−	8.18710i	−1.39330	−	0.310778i
$695$		−	17.2103i		−	0.652823i
$696$	−2.87989	−	7.02969i	−0.109162	−	0.266460i
$697$		−	7.75047i		−	0.293570i
$698$	28.9430	−	9.08456i	1.09551	−	0.343856i
$699$	−22.4637	−	12.9694i	−0.849654	−	0.490548i
$700$	−22.8728	−	10.7379i	−0.864511	−	0.405853i
$701$	0.354028	+	0.613195i	0.0133715	+	0.0231600i	0.872634	−	0.488375i	$-0.162410\pi$
$701$	0.354028	+	0.613195i	0.0133715	+	0.0231600i	−0.859262	+	0.511535i	$0.829077\pi$
$702$	5.34685	+	4.91222i	0.201804	+	0.185400i
$703$	−3.47393	−	6.99689i	−0.131022	−	0.263893i
$704$	1.62894	−	0.422955i	0.0613930	−	0.0159407i
$705$	−23.1640	+	13.3738i	−0.872408	+	0.503685i
$706$	1.91557	−	0.601253i	0.0720933	−	0.0226285i
$707$	40.3457	+	23.2936i	1.51735	+	0.876045i
$708$	−15.3338	+	32.6627i	−0.576280	+	1.22754i
$709$	31.1144			1.16853			0.584263	−	0.811565i	$-0.301384\pi$
$709$	31.1144			1.16853			0.584263	+	0.811565i	$0.301384\pi$
$710$	−3.74491	−	11.9311i	−0.140544	−	0.447766i
$711$			7.11271i			0.266747i
$712$	12.5102	+	1.69640i	0.468839	+	0.0635751i
$713$	−16.5657			−0.620389
$714$	22.5151	−	24.5072i	0.842605	−	0.917158i
$715$	0.254197	−	0.146761i	0.00950644	−	0.00548855i
$716$	38.1183	+	17.8950i	1.42455	+	0.668768i
$717$	17.5261			0.654524
$718$	−11.4975	−	2.56454i	−0.429083	−	0.0957077i
$719$	1.62985	+	2.82298i	0.0607830	+	0.105279i	0.894816	−	0.446436i	$-0.147307\pi$
$719$	1.62985	+	2.82298i	0.0607830	+	0.105279i	−0.834033	+	0.551715i	$0.813974\pi$
$720$	−2.68593	−	3.23480i	−0.100099	−	0.120554i
$721$	30.7624	+	17.7607i	1.14565	+	0.661442i
$722$	−7.34832	−	23.4114i	−0.273476	−	0.871283i
$723$	−13.0253	−	22.5605i	−0.484418	−	0.839036i
$724$	4.00607	+	5.75287i	0.148884	+	0.213804i
$725$	−2.36526	−	4.09675i	−0.0878436	−	0.152150i
$726$	17.3424	+	15.9327i	0.643637	+	0.591318i
$727$	−0.0240511	−	0.0138859i	−0.000892007	−	0.000515000i	0.499554	−	0.866283i	$-0.333497\pi$
$727$	−0.0240511	−	0.0138859i	−0.000892007	−	0.000515000i	−0.500446	+	0.865768i	$0.666831\pi$
$728$	−1.64199	+	12.1089i	−0.0608561	+	0.448787i
$729$	−30.0251			−1.11204
$730$	−6.91951	+	7.53175i	−0.256103	+	0.278762i
$731$	18.8093	−	10.8596i	0.695689	−	0.401656i
$732$	18.1189	−	1.53799i	0.669694	−	0.0568458i
$733$	−5.03987	−	2.90977i	−0.186152	−	0.107475i	0.404028	−	0.914747i	$-0.367610\pi$
$733$	−5.03987	−	2.90977i	−0.186152	−	0.107475i	−0.590180	+	0.807272i	$0.700943\pi$
$734$	7.00675	−	7.62670i	0.258624	−	0.281507i
$735$	30.6383	+	17.6891i	1.13011	+	0.652470i
$736$	31.4499	−	16.1142i	1.15926	−	0.593976i
$737$	−1.33823	+	2.31788i	−0.0492943	+	0.0853803i
$738$	−2.24901	−	0.501646i	−0.0827873	−	0.0184659i
$739$			26.2013i			0.963830i	0.876218	+	0.481915i	$0.160059\pi$
$739$			26.2013i			0.963830i	−0.876218	+	0.481915i	$0.839941\pi$
$740$	0.406444	+	18.5371i	0.0149412	+	0.681438i
$741$			1.78703i			0.0656481i
$742$	13.9186	−	62.4006i	0.510967	−	2.29080i
$743$	−19.9004	+	34.4686i	−0.730076	+	1.26453i	0.226774	+	0.973947i	$0.427182\pi$
$743$	−19.9004	+	34.4686i	−0.730076	+	1.26453i	−0.956850	+	0.290581i	$0.906151\pi$
$744$	−10.5496	+	4.32191i	−0.386767	+	0.158449i
$745$	15.5350	+	8.96911i	0.569157	+	0.328603i
$746$	−25.6295	−	23.5462i	−0.938364	−	0.862087i
$747$	5.98693	+	3.45655i	0.219050	+	0.126469i
$748$	0.116742	+	1.37532i	0.00426850	+	0.0502867i
$749$	26.0804	−	15.0575i	0.952958	−	0.550190i
$750$	18.5217	+	17.0161i	0.676315	+	0.621340i
$751$	−42.8381			−1.56318			−0.781592	−	0.623790i	$-0.785592\pi$
$751$	−42.8381			−1.56318			−0.781592	+	0.623790i	$0.785592\pi$
$752$	29.5031	+	35.5321i	1.07587	+	1.29572i
$753$	15.2830	+	8.82363i	0.556943	+	0.321551i
$754$	−1.54774	+	1.68468i	−0.0563654	+	0.0613525i
$755$	−1.01781	−	1.76289i	−0.0370418	−	0.0641583i
$756$	−30.2491	−	43.4389i	−1.10015	−	1.57986i
$757$	10.0326	+	17.3769i	0.364640	+	0.631574i	0.988718	−	0.149787i	$-0.0478588\pi$
$757$	10.0326	+	17.3769i	0.364640	+	0.631574i	−0.624079	+	0.781362i	$0.714526\pi$
$758$	33.3555	−	10.4695i	1.21152	−	0.380270i
$759$	−1.72987	−	0.998743i	−0.0627904	−	0.0362521i
$760$	0.743908	−	5.48600i	0.0269844	−	0.198998i
$761$	−2.83759	−	4.91486i	−0.102863	−	0.178163i	0.810000	−	0.586429i	$-0.199467\pi$
$761$	−2.83759	−	4.91486i	−0.102863	−	0.178163i	−0.912863	+	0.408266i	$0.866134\pi$
$762$	−2.18797	+	9.80926i	−0.0792619	+	0.355352i
$763$	−90.8226			−3.28800
$764$	14.0512	−	29.9306i	0.508356	−	1.08285i
$765$	2.98634	−	1.72417i	0.107971	−	0.0623374i
$766$	−13.1673	−	12.0970i	−0.475756	−	0.437083i
$767$	10.8662			0.392356
$768$	15.8242	−	18.4672i	0.571008	−	0.666378i
$769$			8.52198i			0.307310i	0.988125	+	0.153655i	$0.0491045\pi$
$769$			8.52198i			0.307310i	−0.988125	+	0.153655i	$0.950896\pi$
$770$	−2.04166	+	0.640832i	−0.0735764	+	0.0230940i
$771$	1.89308			0.0681776
$772$	21.2630	−	45.2925i	0.765273	−	1.63011i
$773$	−0.478781	−	0.276424i	−0.0172206	−	0.00994229i	0.491365	−	0.870954i	$-0.336498\pi$
$773$	−0.478781	−	0.276424i	−0.0172206	−	0.00994229i	−0.508586	+	0.861011i	$0.669831\pi$
$774$	−1.93378	−	6.16093i	−0.0695082	−	0.221450i
$775$	−6.14807	+	3.54959i	−0.220845	+	0.127505i
$776$	−5.77829	+	7.47023i	−0.207429	+	0.268166i
$777$	−2.73650	+	43.5469i	−0.0981712	+	1.56223i
$778$	25.6747	−	27.9463i	0.920482	−	1.00193i
$779$	−1.51705	−	2.62760i	−0.0543539	−	0.0941436i
$780$	1.80249	−	3.83950i	0.0645396	−	0.137476i
$781$	1.05698	+	0.610248i	0.0378217	+	0.0218364i
$782$	8.67935	+	27.6520i	0.310373	+	0.988834i
$783$		−	9.90990i		−	0.354151i
$784$	21.1893	−	57.2933i	0.756761	−	2.04619i
$785$		−	3.02037i		−	0.107801i
$786$	−2.27177	+	10.1849i	−0.0810314	+	0.363285i
$787$			0.858786i			0.0306124i	0.999883	+	0.0153062i	$0.00487231\pi$
$787$			0.858786i			0.0306124i	−0.999883	+	0.0153062i	$0.995128\pi$
$788$	−55.2657	+	4.69113i	−1.96876	+	0.167115i
$789$	26.2537	−	15.1576i	0.934655	−	0.539623i
$790$	21.2089	−	6.65701i	0.754580	−	0.236846i
$791$		−	22.1584i		−	0.787863i
$792$	0.406643	+	0.0551413i	0.0144494	+	0.00195936i
$793$	−2.73802	−	4.74239i	−0.0972300	−	0.168407i
$794$	−1.90659	+	8.54773i	−0.0676622	+	0.303348i
$795$	−11.0960	+	19.2188i	−0.393533	+	0.681619i
$796$	−17.3168	+	36.8867i	−0.613779	+	1.30741i
$797$	11.5431	+	19.9933i	0.408878	+	0.708198i	0.994764	−	0.102196i	$-0.0325868\pi$
$797$	11.5431	+	19.9933i	0.408878	+	0.708198i	−0.585886	+	0.810393i	$0.699253\pi$
$798$	2.83622	−	12.7155i	0.100401	−	0.450125i
$799$	−32.8030	+	18.9388i	−1.16049	+	0.670006i
$800$	8.21925	−	12.7194i	0.290594	−	0.449699i
$801$	2.66593	+	1.53917i	0.0941959	+	0.0543840i
$802$	5.01880	−	22.5006i	0.177220	−	0.794524i
$803$		−	0.998233i		−	0.0352269i
$804$	3.27121	+	38.5377i	0.115367	+	1.35912i
$805$	−38.9122	+	22.4660i	−1.37147	+	0.791821i
$806$	2.52824	+	2.32272i	0.0890533	+	0.0818144i
$807$	−10.0061	+	17.3311i	−0.352233	+	0.610085i
$808$	−17.0832	+	22.0854i	−0.600986	+	0.776961i
$809$	−39.3722	−	22.7316i	−1.38425	−	0.799199i	−0.391593	−	0.920138i	$-0.628076\pi$
$809$	−39.3722	−	22.7316i	−1.38425	−	0.799199i	−0.992660	+	0.120940i	$0.961409\pi$
$810$	4.16683	+	13.2753i	0.146407	+	0.466448i
$811$	29.6726	+	17.1315i	1.04195	+	0.601569i	0.920384	−	0.391015i	$-0.127876\pi$
$811$	29.6726	+	17.1315i	1.04195	+	0.601569i	0.121563	+	0.992584i	$0.461209\pi$
$812$	13.6867	−	9.53087i	0.480309	−	0.334468i
$813$			8.19114i			0.287276i
$814$	−1.25323	−	1.30548i	−0.0439258	−	0.0457572i
$815$	2.78710			0.0976280
$816$	12.7416	+	15.3453i	0.446045	+	0.537195i
$817$	4.25122	−	7.36333i	0.148731	−	0.257610i
$818$	−33.7469	+	10.5924i	−1.17993	+	0.370354i
$819$	−1.48981	+	2.58042i	−0.0520581	+	0.0901673i
$820$	0.609096	+	7.17569i	0.0212705	+	0.250586i
$821$	13.0348	+	7.52563i	0.454917	+	0.262646i	0.709904	−	0.704298i	$-0.248738\pi$
$821$	13.0348	+	7.52563i	0.454917	+	0.262646i	−0.254988	+	0.966944i	$0.582071\pi$
$822$	−13.2911	−	12.2107i	−0.463581	−	0.425898i
$823$	−0.438435	−	0.759391i	−0.0152829	−	0.0264707i	0.858283	−	0.513177i	$-0.171532\pi$
$823$	−0.438435	−	0.759391i	−0.0152829	−	0.0264707i	−0.873566	+	0.486706i	$0.838198\pi$
$824$	−13.0255	+	16.8395i	−0.453764	+	0.586630i
$825$	−0.856019			−0.0298027
$826$	−77.3181	−	17.2459i	−2.69024	−	0.600063i
$827$	12.7282	−	22.0459i	0.442603	−	0.766611i	−0.555279	−	0.831664i	$-0.687388\pi$
$827$	12.7282	−	22.0459i	0.442603	−	0.766611i	0.997882	+	0.0650534i	$0.0207218\pi$
$828$	8.58575	−	0.728786i	0.298376	−	0.0253271i
$829$	3.21393	+	5.56670i	0.111625	+	0.193339i	0.916425	−	0.400206i	$-0.131061\pi$
$829$	3.21393	+	5.56670i	0.111625	+	0.193339i	−0.804801	+	0.593545i	$0.797728\pi$
$830$	4.70352	−	21.0871i	0.163262	−	0.731945i
$831$	10.7480	−	6.20535i	0.372844	−	0.215261i
$832$	−7.05927	−	1.95035i	−0.244736	−	0.0676163i
$833$	43.3874	+	25.0497i	1.50328	+	0.867922i
$834$	23.6909	+	5.28429i	0.820347	+	0.182980i
$835$	−25.2934	+	14.6032i	−0.875315	+	0.505364i
$836$	0.308778	+	0.443417i	0.0106793	+	0.0153359i
$837$	−14.8720			−0.514051
$838$	−48.3754	+	15.1840i	−1.67110	+	0.524521i
$839$	10.8559	+	18.8030i	0.374788	+	0.649151i	0.990295	−	0.138980i	$-0.0443823\pi$
$839$	10.8559	+	18.8030i	0.374788	+	0.649151i	−0.615508	+	0.788131i	$0.711049\pi$
$840$	−18.9194	+	24.4591i	−0.652780	+	0.843920i
$841$	−25.8776			−0.892331
$842$	15.4750	+	3.45172i	0.533302	+	0.118954i
$843$	10.2558			0.353229
$844$	−21.8492	+	46.5410i	−0.752079	+	1.60201i
$845$	18.5361			0.637660
$846$	3.37245	+	10.7445i	0.115947	+	0.369403i
$847$	−25.8516	+	44.7762i	−0.888270	+	1.53853i
$848$	35.9388	+	13.2916i	1.23414	+	0.456435i
$849$	−18.6542	+	10.7700i	−0.640210	+	0.369625i
$850$	9.14630	+	8.40283i	0.313716	+	0.288215i
$851$	−31.6512	−	21.0257i	−1.08499	−	0.720750i
$852$	17.5736	−	1.49171i	0.602063	−	0.0511050i
$853$	28.9690	+	50.1757i	0.991879	+	1.71798i	0.606087	+	0.795399i	$0.292738\pi$
$853$	28.9690	+	50.1757i	0.991879	+	1.71798i	0.385792	+	0.922586i	$0.373928\pi$
$854$	11.9556	+	38.0899i	0.409112	+	1.30341i
$855$	0.674963	−	1.16907i	0.0230832	−	0.0399813i
$856$	6.84233	+	16.7018i	0.233866	+	0.570856i
$857$			34.9396i			1.19351i	0.802422	+	0.596756i	$0.203544\pi$
$857$			34.9396i			1.19351i	−0.802422	+	0.596756i	$0.796456\pi$
$858$	0.123975	+	0.394978i	0.00423243	+	0.0134843i
$859$	14.4430			0.492788			0.246394	−	0.969170i	$-0.420754\pi$
$859$	14.4430			0.492788			0.246394	+	0.969170i	$0.420754\pi$
$860$	−16.5610	+	11.5324i	−0.564725	+	0.393252i
$861$			16.9469i			0.577547i
$862$	−24.0066	−	22.0552i	−0.817670	−	0.751204i
$863$	20.5343	+	35.5665i	0.698997	+	1.21070i	0.968815	+	0.247786i	$0.0797031\pi$
$863$	20.5343	+	35.5665i	0.698997	+	1.21070i	−0.269818	+	0.962911i	$0.586964\pi$
$864$	28.2344	−	14.4667i	0.960554	−	0.492166i
$865$			6.00271i			0.204098i
$866$	−55.3866	−	12.3541i	−1.88211	−	0.419809i
$867$	8.21103	−	4.74064i	0.278861	−	0.161001i
$868$	−14.3032	−	20.5399i	−0.485481	−	0.697169i
$869$	−1.08479	+	1.87891i	−0.0367989	+	0.0637375i
$870$	−5.52342	+	1.73368i	−0.187262	+	0.0587772i
$871$	10.0868	−	5.82360i	0.341777	−	0.197325i
$872$	7.31427	−	53.9396i	0.247693	−	1.82663i
$873$	−1.99432	+	1.15142i	−0.0674974	+	0.0389696i
$874$	8.35501	+	7.67585i	0.282612	+	0.259640i
$875$	−27.6094	+	47.8209i	−0.933369	+	1.61664i
$876$	−8.24326	−	11.8376i	−0.278514	−	0.399957i
$877$		−	11.1809i		−	0.377551i	−0.982020	−	0.188776i	$-0.939548\pi$
$877$		−	11.1809i		−	0.377551i	0.982020	−	0.188776i	$-0.0604519\pi$
$878$	−17.2399	−	15.8385i	−0.581818	−	0.534523i
$879$	16.9648	+	29.3838i	0.572207	+	0.991092i
$880$	−0.216168	−	1.26415i	−0.00728702	−	0.0426146i
$881$	10.9456	−	18.9583i	0.368767	−	0.638723i	−0.620606	−	0.784122i	$-0.713113\pi$
$881$	10.9456	−	18.9583i	0.368767	−	0.638723i	0.989373	+	0.145399i	$0.0464467\pi$
$882$	10.0771	−	10.9687i	0.339314	−	0.369336i
$883$	17.3799	−	30.1029i	0.584880	−	1.01304i	−0.410010	−	0.912081i	$-0.634475\pi$
$883$	17.3799	−	30.1029i	0.584880	−	1.01304i	0.994890	−	0.100961i	$-0.0321918\pi$
$884$	2.55254	−	5.43718i	0.0858512	−	0.182872i
$885$	23.8132	+	13.7486i	0.800472	+	0.462153i
$886$	−2.31605	+	10.3835i	−0.0778093	+	0.348840i
$887$	25.7419			0.864328			0.432164	−	0.901795i	$-0.357750\pi$
$887$	25.7419			0.864328			0.432164	+	0.901795i	$0.357750\pi$
$888$	−25.6421	−	5.13219i	−0.860493	−	0.172225i
$889$	−22.0649			−0.740034
$890$	2.09444	−	9.38992i	0.0702058	−	0.314751i
$891$	−1.17607	−	0.679002i	−0.0393997	−	0.0227474i
$892$	50.8079	+	23.8523i	1.70117	+	0.798634i
$893$	−7.41401	+	12.8414i	−0.248100	+	0.429722i
$894$	−17.1163	+	18.6308i	−0.572456	+	0.623107i
$895$	16.0450	−	27.7907i	0.536324	−	0.928940i
$896$	47.1346	+	25.0816i	1.57466	+	0.837917i
$897$	4.34624	+	7.52791i	0.145117	+	0.251350i
$898$	9.26515	+	8.51201i	0.309182	+	0.284049i
$899$		−	4.68586i		−	0.156282i
$900$	3.03030	−	2.11018i	0.101010	−	0.0703394i
$901$	−15.7131	+	27.2160i	−0.523481	+	0.906696i
$902$	−0.517595	−	0.475521i	−0.0172340	−	0.0158331i
$903$	−41.1277	+	23.7451i	−1.36864	+	0.790187i
$904$	13.1599	+	1.78450i	0.437691	+	0.0593515i
$905$	4.62649	−	2.67111i	0.153790	−	0.0887906i
$906$	2.73923	−	0.859783i	0.0910048	−	0.0285644i
$907$	20.8766	−	36.1593i	0.693196	−	1.20065i	−0.277590	−	0.960700i	$-0.589536\pi$
$907$	20.8766	−	36.1593i	0.693196	−	1.20065i	0.970785	−	0.239950i	$-0.0771311\pi$
$908$	26.9863	−	18.7922i	0.895571	−	0.623640i
$909$	−5.89610	+	3.40411i	−0.195561	+	0.112907i
$910$	9.08876	+	2.02726i	0.301290	+	0.0672032i
$911$		−	48.9007i		−	1.62015i	−0.586324	−	0.810077i	$-0.699425\pi$
$911$		−	48.9007i		−	1.62015i	0.586324	−	0.810077i	$-0.300575\pi$
$912$	7.32335	+	2.70846i	0.242500	+	0.0896862i
$913$	1.05435	+	1.82618i	0.0348937	+	0.0604377i
$914$	34.2967	+	31.5088i	1.13443	+	1.04222i
$915$		−	13.8572i		−	0.458106i
$916$	11.2581	+	16.1671i	0.371980	+	0.534177i
$917$	−22.9100			−0.756555
$918$	7.79197	+	24.8248i	0.257173	+	0.819342i
$919$			24.8173i			0.818648i	0.912389	+	0.409324i	$0.134236\pi$
$919$			24.8173i			0.818648i	−0.912389	+	0.409324i	$0.865764\pi$
$920$	−10.2088	−	24.9192i	−0.336574	−	0.821562i
$921$	20.2957	−	35.1532i	0.668767	−	1.15834i
$922$	−1.83702	−	5.85268i	−0.0604992	−	0.192748i
$923$	−2.65562	−	4.59968i	−0.0874109	−	0.151400i
$924$	−0.255262	−	3.00722i	−0.00839751	−	0.0989302i
$925$	−16.2521	−	1.02129i	−0.534366	−	0.0335797i
$926$	18.7049	+	17.1844i	0.614681	+	0.564715i
$927$	−4.49560	+	2.59554i	−0.147655	+	0.0852486i
$928$	4.55815	+	8.89609i	0.149628	+	0.292028i
$929$	−22.9992	+	39.8357i	−0.754578	+	1.30697i	0.191006	+	0.981589i	$0.438825\pi$
$929$	−22.9992	+	39.8357i	−0.754578	+	1.30697i	−0.945584	+	0.325379i	$0.894508\pi$
$930$	2.60176	+	8.28910i	0.0853152	+	0.271810i
$931$	19.6125			0.642775
$932$	30.8954	+	14.5041i	1.01201	+	0.475099i
$933$	−31.4188			−1.02861
$934$	26.1610	+	5.83527i	0.856016	+	0.190936i
$935$	1.05184			0.0343988
$936$	−1.41253	−	1.09261i	−0.0461701	−	0.0357130i
$937$	17.5581	+	30.4115i	0.573598	+	0.993501i	0.996192	+	0.0871822i	$0.0277862\pi$
$937$	17.5581	+	30.4115i	0.573598	+	0.993501i	−0.422594	+	0.906319i	$0.638880\pi$
$938$	−81.0148	+	25.4288i	−2.64523	+	0.830278i
$939$	24.2802			0.792354
$940$	28.8819	−	20.1122i	0.942024	−	0.655988i
$941$	11.9336	−	6.88985i	0.389024	−	0.224603i	−0.292713	−	0.956200i	$-0.594558\pi$
$941$	11.9336	−	6.88985i	0.389024	−	0.224603i	0.681737	+	0.731597i	$0.261225\pi$
$942$	4.15769	+	0.927381i	0.135465	+	0.0302157i
$943$	−12.7812	−	7.37925i	−0.416214	−	0.240301i
$944$	16.4691	−	44.5304i	0.536023	−	1.44934i
$945$	−34.9338	+	20.1690i	−1.13640	+	0.656099i
$946$	0.428797	−	1.92241i	0.0139414	−	0.0625029i
$947$	3.38298	+	5.85949i	0.109932	+	0.190408i	0.915742	−	0.401766i	$-0.131603\pi$
$947$	3.38298	+	5.85949i	0.109932	+	0.190408i	−0.805811	+	0.592173i	$0.798270\pi$
$948$	2.65168	+	31.2392i	0.0861226	+	1.01460i
$949$	−2.17201	+	3.76204i	−0.0705065	+	0.122121i
$950$	4.74556	+	1.05851i	0.153966	+	0.0343425i
$951$	3.06881			0.0995129
$952$	−26.7920	+	34.6369i	−0.868333	+	1.12259i
$953$	8.90120	+	15.4173i	0.288338	+	0.499416i	0.973413	−	0.229056i	$-0.0735639\pi$
$953$	8.90120	+	15.4173i	0.288338	+	0.499416i	−0.685075	+	0.728473i	$0.740231\pi$
$954$	6.88043	+	6.32114i	0.222762	+	0.204655i
$955$	−21.8214	−	12.5986i	−0.706123	−	0.407680i
$956$	−22.9784	+	1.95048i	−0.743174	+	0.0630829i
$957$	0.282510	−	0.489322i	0.00913225	−	0.0158175i
$958$	31.6583	−	9.93682i	1.02283	−	0.321044i
$959$	19.8125	−	34.3162i	0.639779	−	1.10813i
$960$	−13.0026	−	13.2060i	−0.419658	−	0.426221i
$961$	23.9678			0.773156
$962$	1.88251	+	7.64683i	0.0606946	+	0.246544i
$963$			4.40100i			0.141820i
$964$	19.5882	+	28.1294i	0.630894	+	0.905988i
$965$	−33.0212	−	19.0648i	−1.06299	−	0.613717i
$966$	−18.9779	−	60.4627i	−0.610604	−	1.94536i
$967$	−14.0315	−	8.10111i	−0.451224	−	0.260514i	0.257123	−	0.966379i	$-0.417225\pi$
$967$	−14.0315	−	8.10111i	−0.451224	−	0.260514i	−0.708347	+	0.705865i	$0.750559\pi$
$968$	−24.5107	−	18.9592i	−0.787803	−	0.609373i
$969$	−3.20191	+	5.54587i	−0.102860	+	0.178159i
$970$	5.29989	+	4.86907i	0.170169	+	0.156337i
$971$	−35.2895	+	20.3744i	−1.13249	+	0.653846i	−0.944561	−	0.328336i	$-0.893512\pi$
$971$	−35.2895	+	20.3744i	−1.13249	+	0.653846i	−0.187934	+	0.982182i	$0.560179\pi$
$972$	13.9751	−	1.18625i	0.448252	−	0.0380490i
$973$			53.2902i			1.70840i
$974$	6.09435	−	27.3226i	0.195275	−	0.875471i
$975$	3.22607	+	1.86257i	0.103317	+	0.0596501i
$976$	−23.5845	+	4.03290i	−0.754920	+	0.129090i
$977$	−14.9647	+	8.63987i	−0.478763	+	0.276414i	−0.719901	−	0.694077i	$-0.755813\pi$
$977$	−14.9647	+	8.63987i	−0.478763	+	0.276414i	0.241138	+	0.970491i	$0.422479\pi$
$978$	−0.855760	+	3.83660i	−0.0273642	+	0.122681i
$979$	0.469491	+	0.813182i	0.0150050	+	0.0259894i
$980$	−42.1384	−	19.7823i	−1.34606	−	0.631922i
$981$	6.63639	−	11.4946i	0.211884	−	0.366993i
$982$	1.13916	−	5.10715i	0.0363520	−	0.162976i
$983$	0.895394	+	1.55087i	0.0285586	+	0.0494650i	0.879951	−	0.475064i	$-0.157575\pi$
$983$	0.895394	+	1.55087i	0.0285586	+	0.0494650i	−0.851393	+	0.524529i	$0.824242\pi$
$984$	−10.0647	−	1.36479i	−0.320852	−	0.0435080i
$985$			42.2669i			1.34674i
$986$	−7.82180	+	2.45509i	−0.249097	+	0.0781860i
$987$	71.7255	−	41.4108i	2.28305	−	1.31812i
$988$	−0.198878	−	2.34296i	−0.00632715	−	0.0745396i
$989$		−	41.3577i		−	1.31510i
$990$	0.0680797	−	0.305219i	0.00216372	−	0.00970051i
$991$		−	29.9611i		−	0.951744i	−0.879514	−	0.475872i	$-0.842132\pi$
$991$		−	29.9611i		−	0.951744i	0.879514	−	0.475872i	$-0.157868\pi$
$992$	13.3505	−	6.84050i	0.423880	−	0.217186i
$993$			32.1534i			1.02036i
$994$	11.5958	+	36.9437i	0.367796	+	1.17178i
$995$	26.8928	+	15.5266i	0.852559	+	0.492225i
$996$	27.5834	+	12.9493i	0.874013	+	0.410314i
$997$	−20.9381	−	36.2659i	−0.663117	−	1.14855i	−0.979792	−	0.200018i	$-0.935900\pi$
$997$	−20.9381	−	36.2659i	−0.663117	−	1.14855i	0.316675	−	0.948534i	$-0.397433\pi$
$998$	12.4745	−	13.5783i	0.394874	−	0.429813i
$999$	−28.4152	−	18.8760i	−0.899017	−	0.597210i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.q.a.85.2	✓	72
4.3	odd	2		1184.2.y.a.529.27		72
8.3	odd	2		1184.2.y.a.529.10		72
8.5	even	2	inner	296.2.q.a.85.15	yes	72
37.27	even	6	inner	296.2.q.a.101.15	yes	72
148.27	odd	6		1184.2.y.a.1137.10		72
296.27	odd	6		1184.2.y.a.1137.27		72
296.101	even	6	inner	296.2.q.a.101.2	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.q.a.85.2	✓	72	1.1	even	1	trivial
296.2.q.a.85.15	yes	72	8.5	even	2	inner
296.2.q.a.101.2	yes	72	296.101	even	6	inner
296.2.q.a.101.15	yes	72	37.27	even	6	inner
1184.2.y.a.529.10		72	8.3	odd	2
1184.2.y.a.529.27		72	4.3	odd	2
1184.2.y.a.1137.10		72	148.27	odd	6
1184.2.y.a.1137.27		72	296.27	odd	6

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:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.q (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.38029 - 0.307877i) q^{2} +(-1.31634 - 0.759988i) q^{3} +(1.81042 + 0.849922i) q^{4} +(0.762054 - 1.31992i) q^{5} +(1.58295 + 1.45428i) q^{6} +(-2.35964 + 4.08701i) q^{7} +(-2.23725 - 1.73053i) q^{8} +(-0.344836 - 0.597274i) q^{9} +(-1.45823 + 1.58725i) q^{10} -0.210369i q^{11} +(-1.73720 - 2.49468i) q^{12} +(-0.457733 + 0.792818i) q^{13} +(4.51529 - 4.91480i) q^{14} +(-2.00624 + 1.15830i) q^{15} +(2.55527 + 3.07744i) q^{16} +(-2.84107 + 1.64029i) q^{17} +(0.292088 + 0.930581i) q^{18} +(-0.642128 + 1.11220i) q^{19} +(2.50146 - 1.74192i) q^{20} +(6.21216 - 3.58659i) q^{21} +(-0.0647679 + 0.290371i) q^{22} +6.24690i q^{23} +(1.62979 + 3.97824i) q^{24} +(1.33855 + 2.31843i) q^{25} +(0.875897 - 0.953396i) q^{26} +5.60821i q^{27} +(-7.74558 + 5.39371i) q^{28} -1.76703 q^{29} +(3.12582 - 0.981124i) q^{30} +2.65182i q^{31} +(-2.57955 - 5.03447i) q^{32} +(-0.159878 + 0.276917i) q^{33} +(4.42652 - 1.38938i) q^{34} +(3.59634 + 6.22904i) q^{35} +(-0.116664 - 1.37440i) q^{36} +(-3.36577 + 5.06671i) q^{37} +(1.22875 - 1.33746i) q^{38} +(1.20506 - 0.695744i) q^{39} +(-3.98905 + 1.63422i) q^{40} +(-1.18127 + 2.04601i) q^{41} +(-9.67883 + 3.03797i) q^{42} -6.62052 q^{43} +(0.178797 - 0.380857i) q^{44} -1.05113 q^{45} +(1.92328 - 8.62256i) q^{46} +11.5460 q^{47} +(-1.02478 - 5.99292i) q^{48} +(-7.63576 - 13.2255i) q^{49} +(-1.13380 - 3.61223i) q^{50} +4.98641 q^{51} +(-1.50252 + 1.04630i) q^{52} +(8.29608 - 4.78975i) q^{53} +(1.72664 - 7.74098i) q^{54} +(-0.277670 - 0.160313i) q^{55} +(12.3518 - 5.06022i) q^{56} +(1.69051 - 0.976019i) q^{57} +(2.43903 + 0.544029i) q^{58} +(-5.93478 - 10.2793i) q^{59} +(-4.61661 + 0.391872i) q^{60} +(-2.99085 + 5.18030i) q^{61} +(0.816435 - 3.66029i) q^{62} +3.25475 q^{63} +(2.01053 + 7.74324i) q^{64} +(0.697635 + 1.20834i) q^{65} +(0.305935 - 0.333004i) q^{66} +(-11.0182 - 6.36134i) q^{67} +(-6.53765 + 0.554937i) q^{68} +(4.74757 - 8.22303i) q^{69} +(-3.04622 - 9.70513i) q^{70} +(-2.90084 + 5.02440i) q^{71} +(-0.262117 + 1.93300i) q^{72} +4.74515 q^{73} +(6.20568 - 5.95731i) q^{74} -4.06913i q^{75} +(-2.10780 + 1.46779i) q^{76} +(0.859781 + 0.496395i) q^{77} +(-1.87755 + 0.589320i) q^{78} +(-8.93147 - 5.15659i) q^{79} +(6.00921 - 1.02756i) q^{80} +(3.22767 - 5.59048i) q^{81} +(2.26041 - 2.46041i) q^{82} +(-8.68083 + 5.01188i) q^{83} +(14.2950 - 1.21340i) q^{84} +4.99996i q^{85} +(9.13827 + 2.03831i) q^{86} +(2.32601 + 1.34292i) q^{87} +(-0.364050 + 0.470648i) q^{88} +(-3.86550 + 2.23175i) q^{89} +(1.45087 + 0.323620i) q^{90} +(-2.16017 - 3.74152i) q^{91} +(-5.30938 + 11.3095i) q^{92} +(2.01535 - 3.49069i) q^{93} +(-15.9369 - 3.55475i) q^{94} +(0.978672 + 1.69511i) q^{95} +(-0.430585 + 8.58750i) q^{96} -3.33903i q^{97} +(6.46776 + 20.6060i) q^{98} +(-0.125648 + 0.0725429i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) \) 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

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