LMFDB - Embedded newform 360.2.bk.a.349.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(229,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 2, 3]))

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

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

chi := DirichletCharacter("360.229");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.bk (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$136$
Relative dimension:	$68$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			349.18
Character	$\chi$	$=$	360.349
Dual form			360.2.bk.a.229.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.954059 - 1.04392i) q^{2} +(-1.07030 - 1.36178i) q^{3} +(-0.179543 + 1.99192i) q^{4} +(1.96832 + 1.06099i) q^{5} +(-0.400461 + 2.41653i) q^{6} +(-1.60442 - 0.926310i) q^{7} +(2.25071 - 1.71299i) q^{8} +(-0.708903 + 2.91504i) q^{9} +O(q^{10})$	\(q+(-0.954059 - 1.04392i) q^{2} +(-1.07030 - 1.36178i) q^{3} +(-0.179543 + 1.99192i) q^{4} +(1.96832 + 1.06099i) q^{5} +(-0.400461 + 2.41653i) q^{6} +(-1.60442 - 0.926310i) q^{7} +(2.25071 - 1.71299i) q^{8} +(-0.708903 + 2.91504i) q^{9} +(-0.770302 - 3.06702i) q^{10} +(-2.88736 - 1.66702i) q^{11} +(2.90473 - 1.88746i) q^{12} +(-3.23243 - 5.59873i) q^{13} +(0.563713 + 2.55864i) q^{14} +(-0.661859 - 3.81601i) q^{15} +(-3.93553 - 0.715271i) q^{16} +0.590749i q^{17} +(3.71941 - 2.04108i) q^{18} -4.73221i q^{19} +(-2.46682 + 3.73026i) q^{20} +(0.455778 + 3.17630i) q^{21} +(1.01448 + 4.60462i) q^{22} +(-7.05625 + 4.07393i) q^{23} +(-4.74165 - 1.23156i) q^{24} +(2.74859 + 4.17675i) q^{25} +(-2.76071 + 8.71592i) q^{26} +(4.72839 - 2.15460i) q^{27} +(2.13320 - 3.02956i) q^{28} +(0.135659 + 0.0783230i) q^{29} +(-3.35216 + 4.33163i) q^{30} +(-2.77492 - 4.80630i) q^{31} +(3.00804 + 4.79079i) q^{32} +(0.820235 + 5.71618i) q^{33} +(0.616695 - 0.563609i) q^{34} +(-2.17520 - 3.52555i) q^{35} +(-5.67926 - 1.93546i) q^{36} -3.21991 q^{37} +(-4.94005 + 4.51480i) q^{38} +(-4.16458 + 10.3942i) q^{39} +(6.24758 - 0.983722i) q^{40} +(-0.929101 - 1.60925i) q^{41} +(2.88096 - 3.50617i) q^{42} +(-1.08597 + 1.88095i) q^{43} +(3.83898 - 5.45211i) q^{44} +(-4.48819 + 4.98560i) q^{45} +(10.9849 + 3.47940i) q^{46} +(8.32731 + 4.80777i) q^{47} +(3.23816 + 6.12489i) q^{48} +(-1.78390 - 3.08981i) q^{49} +(1.73789 - 6.85418i) q^{50} +(0.804471 - 0.632280i) q^{51} +(11.7326 - 5.43354i) q^{52} -6.40212 q^{53} +(-6.76040 - 2.88045i) q^{54} +(-3.91456 - 6.34471i) q^{55} +(-5.19782 + 0.663489i) q^{56} +(-6.44424 + 5.06489i) q^{57} +(-0.0476640 - 0.216342i) q^{58} +(1.67616 - 0.967729i) q^{59} +(7.72004 - 0.633235i) q^{60} +(2.78455 + 1.60766i) q^{61} +(-2.36996 + 7.48229i) q^{62} +(3.83760 - 4.02027i) q^{63} +(2.13136 - 7.71086i) q^{64} +(-0.422244 - 14.4497i) q^{65} +(5.18469 - 6.30983i) q^{66} +(-3.33522 - 5.77678i) q^{67} +(-1.17673 - 0.106065i) q^{68} +(13.1001 + 5.24874i) q^{69} +(-1.60513 + 5.63432i) q^{70} +2.20166 q^{71} +(3.39789 + 7.77524i) q^{72} -15.2968i q^{73} +(3.07198 + 3.36133i) q^{74} +(2.74601 - 8.21337i) q^{75} +(9.42620 + 0.849633i) q^{76} +(3.08835 + 5.34919i) q^{77} +(14.8240 - 5.56919i) q^{78} +(-0.603265 + 1.04489i) q^{79} +(-6.98749 - 5.58346i) q^{80} +(-7.99491 - 4.13296i) q^{81} +(-0.793513 + 2.50523i) q^{82} +(2.12097 - 3.67362i) q^{83} +(-6.40878 + 0.337595i) q^{84} +(-0.626781 + 1.16278i) q^{85} +(2.99964 - 0.660873i) q^{86} +(-0.0385378 - 0.268568i) q^{87} +(-9.35419 + 1.19404i) q^{88} +12.3193 q^{89} +(9.48657 - 0.0712379i) q^{90} +11.9769i q^{91} +(-6.84806 - 14.7870i) q^{92} +(-3.57513 + 8.92303i) q^{93} +(-2.92581 - 13.2800i) q^{94} +(5.02084 - 9.31451i) q^{95} +(3.30450 - 9.22390i) q^{96} +(12.0457 + 6.95457i) q^{97} +(-1.52357 + 4.81011i) q^{98} +(6.90629 - 7.23502i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 136 q - 2 q^{4} - 8 q^{9}+O(q^{10}) $ 136 * q - 2 * q^4 - 8 * q^9	$ 136 q - 2 q^{4} - 8 q^{9} - 10 q^{14} + 2 q^{15} - 2 q^{16} - 2 q^{20} - 38 q^{24} - 2 q^{25} + 16 q^{26} - 12 q^{30} - 4 q^{31} + 8 q^{34} - 24 q^{36} + 4 q^{39} - 6 q^{40} - 4 q^{41} - 56 q^{44} - 28 q^{46} + 40 q^{49} - 12 q^{50} + 10 q^{54} - 28 q^{55} + 26 q^{56} - 58 q^{60} - 20 q^{64} + 18 q^{65} + 16 q^{66} - 6 q^{70} - 128 q^{71} + 36 q^{74} + 12 q^{76} - 4 q^{79} - 36 q^{80} - 16 q^{81} - 110 q^{84} + 44 q^{86} - 32 q^{89} + 32 q^{90} - 34 q^{94} + 8 q^{95} - 2 q^{96}+O(q^{100}) $ 136 * q - 2 * q^4 - 8 * q^9 - 10 * q^14 + 2 * q^15 - 2 * q^16 - 2 * q^20 - 38 * q^24 - 2 * q^25 + 16 * q^26 - 12 * q^30 - 4 * q^31 + 8 * q^34 - 24 * q^36 + 4 * q^39 - 6 * q^40 - 4 * q^41 - 56 * q^44 - 28 * q^46 + 40 * q^49 - 12 * q^50 + 10 * q^54 - 28 * q^55 + 26 * q^56 - 58 * q^60 - 20 * q^64 + 18 * q^65 + 16 * q^66 - 6 * q^70 - 128 * q^71 + 36 * q^74 + 12 * q^76 - 4 * q^79 - 36 * q^80 - 16 * q^81 - 110 * q^84 + 44 * q^86 - 32 * q^89 + 32 * q^90 - 34 * q^94 + 8 * q^95 - 2 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$-1$	$1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.954059	−	1.04392i	−0.674622	−	0.738164i
$2$	−0.954059	−	1.04392i	−0.674622	−	0.738164i
$3$	−1.07030	−	1.36178i	−0.617940	−	0.786225i
$3$	−1.07030	−	1.36178i	−0.617940	−	0.786225i
$4$	−0.179543	+	1.99192i	−0.0897714	+	0.995962i
$5$	1.96832	+	1.06099i	0.880260	+	0.474491i
$5$	1.96832	+	1.06099i	0.880260	+	0.474491i
$6$	−0.400461	+	2.41653i	−0.163488	+	0.986545i
$7$	−1.60442	−	0.926310i	−0.606412	−	0.350112i	0.165148	−	0.986269i	$-0.447190\pi$
$7$	−1.60442	−	0.926310i	−0.606412	−	0.350112i	−0.771560	+	0.636157i	$0.780523\pi$
$8$	2.25071	−	1.71299i	0.795745	−	0.605632i
$9$	−0.708903	+	2.91504i	−0.236301	+	0.971680i
$10$	−0.770302	−	3.06702i	−0.243591	−	0.969878i
$11$	−2.88736	−	1.66702i	−0.870573	−	0.502625i	−0.00303427	−	0.999995i	$-0.500966\pi$
$11$	−2.88736	−	1.66702i	−0.870573	−	0.502625i	−0.867539	+	0.497370i	$0.834299\pi$
$12$	2.90473	−	1.88746i	0.838524	−	0.544864i
$13$	−3.23243	−	5.59873i	−0.896514	−	1.55281i	−0.831919	−	0.554897i	$-0.812758\pi$
$13$	−3.23243	−	5.59873i	−0.896514	−	1.55281i	−0.0645952	−	0.997912i	$-0.520576\pi$
$14$	0.563713	+	2.55864i	0.150659	+	0.683825i
$15$	−0.661859	−	3.81601i	−0.170891	−	0.985290i
$16$	−3.93553	−	0.715271i	−0.983882	−	0.178818i
$17$			0.590749i			0.143278i	0.997431	+	0.0716388i	$0.0228229\pi$
$17$			0.590749i			0.143278i	−0.997431	+	0.0716388i	$0.977177\pi$
$18$	3.71941	−	2.04108i	0.876673	−	0.481087i
$19$		−	4.73221i		−	1.08564i	−0.839848	−	0.542821i	$-0.817356\pi$
$19$		−	4.73221i		−	1.08564i	0.839848	−	0.542821i	$-0.182644\pi$
$20$	−2.46682	+	3.73026i	−0.551597	+	0.834111i
$21$	0.455778	+	3.17630i	0.0994590	+	0.693125i
$22$	1.01448	+	4.60462i	0.216287	+	0.981707i
$23$	−7.05625	+	4.07393i	−1.47133	+	0.849473i	−0.999481	−	0.0322071i	$-0.989746\pi$
$23$	−7.05625	+	4.07393i	−1.47133	+	0.849473i	−0.471848	+	0.881680i	$0.656413\pi$
$24$	−4.74165	−	1.23156i	−0.967886	−	0.251391i
$25$	2.74859	+	4.17675i	0.549717	+	0.835351i
$26$	−2.76071	+	8.71592i	−0.541419	+	1.70933i
$27$	4.72839	−	2.15460i	0.909979	−	0.414654i
$28$	2.13320	−	3.02956i	0.403137	−	0.572534i
$29$	0.135659	+	0.0783230i	0.0251913	+	0.0145442i	0.512543	−	0.858662i	$-0.328704\pi$
$29$	0.135659	+	0.0783230i	0.0251913	+	0.0145442i	−0.487351	+	0.873206i	$0.662037\pi$
$30$	−3.35216	+	4.33163i	−0.612018	+	0.790844i
$31$	−2.77492	−	4.80630i	−0.498390	−	0.863236i	0.501608	−	0.865095i	$-0.332742\pi$
$31$	−2.77492	−	4.80630i	−0.498390	−	0.863236i	−0.999998	+	0.00185828i	$0.999408\pi$
$32$	3.00804	+	4.79079i	0.531751	+	0.846901i
$33$	0.820235	+	5.71618i	0.142785	+	0.995059i
$34$	0.616695	−	0.563609i	0.105762	−	0.0966582i
$35$	−2.17520	−	3.52555i	−0.367676	−	0.595927i
$36$	−5.67926	−	1.93546i	−0.946544	−	0.322576i
$37$	−3.21991			−0.529350			−0.264675	−	0.964338i	$-0.585265\pi$
$37$	−3.21991			−0.529350			−0.264675	+	0.964338i	$0.585265\pi$
$38$	−4.94005	+	4.51480i	−0.801382	+	0.732398i
$39$	−4.16458	+	10.3942i	−0.666866	+	1.66440i
$40$	6.24758	−	0.983722i	0.987830	−	0.155540i
$41$	−0.929101	−	1.60925i	−0.145101	−	0.251323i	0.784309	−	0.620370i	$-0.213017\pi$
$41$	−0.929101	−	1.60925i	−0.145101	−	0.251323i	−0.929411	+	0.369047i	$0.879684\pi$
$42$	2.88096	−	3.50617i	0.444542	−	0.541014i
$43$	−1.08597	+	1.88095i	−0.165608	+	0.286842i	−0.936871	−	0.349675i	$-0.886292\pi$
$43$	−1.08597	+	1.88095i	−0.165608	+	0.286842i	0.771263	+	0.636517i	$0.219625\pi$
$44$	3.83898	−	5.45211i	0.578749	−	0.821936i
$45$	−4.48819	+	4.98560i	−0.669060	+	0.743209i
$46$	10.9849	+	3.47940i	1.61964	+	0.513010i
$47$	8.32731	+	4.80777i	1.21466	+	0.701286i	0.963771	−	0.266729i	$-0.0859430\pi$
$47$	8.32731	+	4.80777i	1.21466	+	0.701286i	0.250891	+	0.968015i	$0.419276\pi$
$48$	3.23816	+	6.12489i	0.467389	+	0.884052i
$49$	−1.78390	−	3.08981i	−0.254843	−	0.441401i
$50$	1.73789	−	6.85418i	0.245775	−	0.969327i
$51$	0.804471	−	0.632280i	0.112649	−	0.0885369i
$52$	11.7326	−	5.43354i	1.62702	−	0.753497i
$53$	−6.40212			−0.879398			−0.439699	−	0.898145i	$-0.644915\pi$
$53$	−6.40212			−0.879398			−0.439699	+	0.898145i	$0.644915\pi$
$54$	−6.76040	−	2.88045i	−0.919974	−	0.391979i
$55$	−3.91456	−	6.34471i	−0.527840	−	0.855520i
$56$	−5.19782	+	0.663489i	−0.694588	+	0.0886624i
$57$	−6.44424	+	5.06489i	−0.853560	+	0.670862i
$58$	−0.0476640	−	0.216342i	−0.00625859	−	0.0284072i
$59$	1.67616	−	0.967729i	0.218217	−	0.125988i	−0.386907	−	0.922119i	$-0.626457\pi$
$59$	1.67616	−	0.967729i	0.218217	−	0.125988i	0.605124	+	0.796131i	$0.293123\pi$
$60$	7.72004	−	0.633235i	0.996653	−	0.0817503i
$61$	2.78455	+	1.60766i	0.356526	+	0.205840i	0.667556	−	0.744560i	$-0.267341\pi$
$61$	2.78455	+	1.60766i	0.356526	+	0.205840i	−0.311030	+	0.950400i	$0.600674\pi$
$62$	−2.36996	+	7.48229i	−0.300985	+	0.950251i
$63$	3.83760	−	4.02027i	0.483493	−	0.506507i
$64$	2.13136	−	7.71086i	0.266420	−	0.963857i
$65$	−0.422244	−	14.4497i	−0.0523729	−	1.79226i
$66$	5.18469	−	6.30983i	0.638191	−	0.776687i
$67$	−3.33522	−	5.77678i	−0.407462	−	0.705745i	0.587142	−	0.809484i	$-0.300253\pi$
$67$	−3.33522	−	5.77678i	−0.407462	−	0.705745i	−0.994605	+	0.103738i	$0.966920\pi$
$68$	−1.17673	−	0.106065i	−0.142699	−	0.0128622i
$69$	13.1001	+	5.24874i	1.57707	+	0.631874i
$70$	−1.60513	+	5.63432i	−0.191850	+	0.673430i
$71$	2.20166			0.261289			0.130644	−	0.991429i	$-0.458295\pi$
$71$	2.20166			0.261289			0.130644	+	0.991429i	$0.458295\pi$
$72$	3.39789	+	7.77524i	0.400445	+	0.916321i
$73$		−	15.2968i		−	1.79035i	−0.445710	−	0.895177i	$-0.647049\pi$
$73$		−	15.2968i		−	1.79035i	0.445710	−	0.895177i	$-0.352951\pi$
$74$	3.07198	+	3.36133i	0.357111	+	0.390747i
$75$	2.74601	−	8.21337i	0.317082	−	0.948398i
$76$	9.42620	+	0.849633i	1.08126	+	0.0974596i
$77$	3.08835	+	5.34919i	0.351951	+	0.609596i
$78$	14.8240	−	5.56919i	1.67848	−	0.630587i
$79$	−0.603265	+	1.04489i	−0.0678727	+	0.117559i	−0.897965	−	0.440068i	$-0.854954\pi$
$79$	−0.603265	+	1.04489i	−0.0678727	+	0.117559i	0.830092	+	0.557626i	$0.188288\pi$
$80$	−6.98749	−	5.58346i	−0.781225	−	0.624249i
$81$	−7.99491	−	4.13296i	−0.888324	−	0.459218i
$82$	−0.793513	+	2.50523i	−0.0876289	+	0.276656i
$83$	2.12097	−	3.67362i	0.232806	−	0.403232i	−0.725827	−	0.687878i	$-0.758543\pi$
$83$	2.12097	−	3.67362i	0.232806	−	0.403232i	0.958633	+	0.284645i	$0.0918759\pi$
$84$	−6.40878	+	0.337595i	−0.699255	+	0.0368346i
$85$	−0.626781	+	1.16278i	−0.0679839	+	0.126122i
$86$	2.99964	−	0.660873i	0.323459	−	0.0712638i
$87$	−0.0385378	−	0.268568i	−0.00413168	−	0.0287935i
$88$	−9.35419	+	1.19404i	−0.997160	+	0.127285i
$89$	12.3193			1.30584			0.652921	−	0.757426i	$-0.273543\pi$
$89$	12.3193			1.30584			0.652921	+	0.757426i	$0.273543\pi$
$90$	9.48657	−	0.0712379i	0.999972	−	0.00750913i
$91$			11.9769i			1.25552i
$92$	−6.84806	−	14.7870i	−0.713959	−	1.54165i
$93$	−3.57513	+	8.92303i	−0.370724	+	0.925275i
$94$	−2.92581	−	13.2800i	−0.301774	−	1.36972i
$95$	5.02084	−	9.31451i	0.515127	−	0.955648i
$96$	3.30450	−	9.22390i	0.337265	−	0.941410i
$97$	12.0457	+	6.95457i	1.22305	+	0.706130i	0.965568	−	0.260152i	$-0.0837727\pi$
$97$	12.0457	+	6.95457i	1.22305	+	0.706130i	0.257485	+	0.966282i	$0.417106\pi$
$98$	−1.52357	+	4.81011i	−0.153904	+	0.485894i
$99$	6.90629	−	7.23502i	0.694108	−	0.727147i
$100$	−8.81327	+	4.72507i	−0.881327	+	0.472507i
$101$	−12.4676	−	7.19817i	−1.24057	−	0.716245i	−0.271362	−	0.962477i	$-0.587474\pi$
$101$	−12.4676	−	7.19817i	−1.24057	−	0.716245i	−0.969211	+	0.246233i	$0.920807\pi$
$102$	−1.42756	−	0.236572i	−0.141350	−	0.0234241i
$103$	−7.10860	+	4.10415i	−0.700431	+	0.404394i	−0.807508	−	0.589857i	$-0.799184\pi$
$103$	−7.10860	+	4.10415i	−0.700431	+	0.404394i	0.107077	+	0.994251i	$0.465851\pi$
$104$	−16.8658	−	7.06400i	−1.65383	−	0.692682i
$105$	−2.47291	+	6.73555i	−0.241332	+	0.657323i
$106$	6.10800	+	6.68331i	0.593261	+	0.649140i
$107$	17.4628			1.68819			0.844094	−	0.536195i	$-0.180139\pi$
$107$	17.4628			1.68819			0.844094	+	0.536195i	$0.180139\pi$
$108$	3.44286	+	9.80544i	0.331289	+	0.943529i
$109$			16.1089i			1.54295i	0.636259	+	0.771476i	$0.280481\pi$
$109$			16.1089i			1.54295i	−0.636259	+	0.771476i	$0.719519\pi$
$110$	−2.88865	+	10.1397i	−0.275422	+	0.966784i
$111$	3.44628	+	4.38481i	0.327106	+	0.416188i
$112$	5.65166	+	4.79311i	0.534032	+	0.452906i
$113$	3.62139	−	2.09081i	0.340671	−	0.196687i	−0.319898	−	0.947452i	$-0.603649\pi$
$113$	3.62139	−	2.09081i	0.340671	−	0.196687i	0.660569	+	0.750765i	$0.270315\pi$
$114$	11.4355	+	1.89507i	1.07104	+	0.177489i
$115$	−18.2114	+	0.532167i	−1.69822	+	0.0496248i
$116$	−0.180370	+	0.256161i	−0.0167469	+	0.0237839i
$117$	18.6120	−	5.45370i	1.72068	−	0.504195i
$118$	−2.60938	−	0.826504i	−0.240213	−	0.0760858i
$119$	0.547216	−	0.947806i	0.0501632	−	0.0868853i
$120$	−8.02642	−	7.45497i	−0.732709	−	0.680542i
$121$	0.0579116	+	0.100306i	0.00526469	+	0.00911872i
$122$	−0.978355	−	4.44066i	−0.0885761	−	0.402038i
$123$	−1.19703	+	2.98762i	−0.107933	+	0.269385i
$124$	10.0720	−	4.66449i	0.904492	−	0.418884i
$125$	0.978591	+	11.1374i	0.0875278	+	0.996162i
$126$	−7.85815	−	0.170581i	−0.700059	−	0.0151966i
$127$		−	1.18401i		−	0.105064i	−0.998619	−	0.0525322i	$-0.983271\pi$
$127$		−	1.18401i		−	0.105064i	0.998619	−	0.0525322i	$-0.0167292\pi$
$128$	−10.0830	+	5.13164i	−0.891217	+	0.453577i
$129$	3.72376	−	0.534335i	0.327858	−	0.0470456i
$130$	−14.6815	+	14.2266i	−1.28765	+	1.24776i
$131$	−6.15679	+	3.55462i	−0.537921	+	0.310569i	−0.744236	−	0.667917i	$-0.767186\pi$
$131$	−6.15679	+	3.55462i	−0.537921	+	0.310569i	0.206315	+	0.978486i	$0.433853\pi$
$132$	−11.5335	+	0.607548i	−1.00386	+	0.0528803i
$133$	−4.38349	+	7.59243i	−0.380097	+	0.658347i
$134$	−2.84850	+	8.99309i	−0.246073	+	0.776885i
$135$	11.5930	+	0.775838i	0.997768	+	0.0667735i
$136$	1.01194	+	1.32960i	0.0867735	+	0.114012i
$137$	−3.36728	−	1.94410i	−0.287686	−	0.166096i	0.349212	−	0.937044i	$-0.386449\pi$
$137$	−3.36728	−	1.94410i	−0.287686	−	0.166096i	−0.636898	+	0.770948i	$0.719783\pi$
$138$	−7.01902	−	18.6831i	−0.597499	−	1.59041i
$139$	2.71801	−	1.56924i	0.230538	−	0.133101i	−0.380282	−	0.924871i	$-0.624173\pi$
$139$	2.71801	−	1.56924i	0.230538	−	0.133101i	0.610820	+	0.791769i	$0.290840\pi$
$140$	7.41317	−	3.69984i	0.626527	−	0.312694i
$141$	−2.36560	−	16.4858i	−0.199219	−	1.38835i
$142$	−2.10051	−	2.29836i	−0.176271	−	0.192874i
$143$			21.5541i			1.80244i
$144$	4.87495	−	10.9652i	0.406246	−	0.913764i
$145$	0.183921	+	0.298099i	0.0152738	+	0.0247557i
$146$	−15.9686	+	14.5940i	−1.32157	+	1.20781i
$147$	−2.29833	+	5.73631i	−0.189563	+	0.473123i
$148$	0.578111	−	6.41382i	0.0475204	−	0.527212i
$149$	6.27214	−	3.62122i	0.513834	−	0.296662i	−0.220574	−	0.975370i	$-0.570793\pi$
$149$	6.27214	−	3.62122i	0.513834	−	0.296662i	0.734408	+	0.678708i	$0.237460\pi$
$150$	−11.1940	+	4.96942i	−0.913984	+	0.405751i
$151$	6.77715	−	11.7384i	0.551517	−	0.955255i	−0.446649	−	0.894709i	$-0.647383\pi$
$151$	6.77715	−	11.7384i	0.551517	−	0.955255i	0.998165	−	0.0605455i	$-0.0192840\pi$
$152$	−8.10620	−	10.6508i	−0.657500	−	0.863895i
$153$	−1.72206	−	0.418784i	−0.139220	−	0.0338567i
$154$	2.63766	−	8.32744i	0.212548	−	0.671044i
$155$	−0.362480	−	12.4045i	−0.0291151	−	0.996354i
$156$	−19.9567	−	10.1617i	−1.59782	−	0.813589i
$157$	−1.59282	−	2.75885i	−0.127121	−	0.220180i	0.795439	−	0.606034i	$-0.207240\pi$
$157$	−1.59282	−	2.75885i	−0.127121	−	0.220180i	−0.922560	+	0.385854i	$0.873907\pi$
$158$	1.66633	−	0.367122i	0.132566	−	0.0292066i
$159$	6.85221	+	8.71829i	0.543415	+	0.691405i
$160$	0.837791	+	12.6213i	0.0662332	+	0.997804i
$161$	15.0949			1.18964
$162$	3.31313	+	12.2891i	0.260304	+	0.965527i
$163$	14.4380			1.13087			0.565435	−	0.824793i	$-0.308708\pi$
$163$	14.4380			1.13087			0.565435	+	0.824793i	$0.308708\pi$
$164$	3.37232	−	1.56177i	0.263334	−	0.121954i
$165$	−4.45034	+	12.1215i	−0.346459	+	0.943661i
$166$	−5.85850	+	1.29073i	−0.454708	+	0.100180i
$167$	10.4193	−	6.01557i	0.806268	−	0.465499i	−0.0393901	−	0.999224i	$-0.512542\pi$
$167$	10.4193	−	6.01557i	0.806268	−	0.465499i	0.845658	+	0.533725i	$0.179208\pi$
$168$	6.46677	+	6.36817i	0.498922	+	0.491315i
$169$	−14.3972	+	24.9367i	−1.10748	+	1.91820i
$170$	1.81184	−	0.455055i	0.138962	−	0.0349011i
$171$	13.7946	+	3.35468i	1.05490	+	0.256539i
$172$	−3.55173	−	2.50087i	−0.270817	−	0.190690i
$173$	5.44736	−	9.43511i	0.414155	−	0.717338i	−0.581184	−	0.813772i	$-0.697410\pi$
$173$	5.44736	−	9.43511i	0.414155	−	0.717338i	0.995339	+	0.0964340i	$0.0307437\pi$
$174$	−0.243596	+	0.296460i	−0.0184670	+	0.0224746i
$175$	−0.540904	−	9.24729i	−0.0408885	−	0.699029i
$176$	10.1709	+	8.62585i	0.766663	+	0.650198i
$177$	−3.11183	−	1.24680i	−0.233899	−	0.0937149i
$178$	−11.7533	−	12.8604i	−0.880949	−	0.963925i
$179$			0.363546i			0.0271727i	0.999908	+	0.0135863i	$0.00432480\pi$
$179$			0.363546i			0.0271727i	−0.999908	+	0.0135863i	$0.995675\pi$
$180$	−9.12511	−	9.83526i	−0.680146	−	0.733077i
$181$		−	3.06981i		−	0.228177i	−0.993471	−	0.114089i	$-0.963605\pi$
$181$		−	3.06981i		−	0.228177i	0.993471	−	0.114089i	$-0.0363948\pi$
$182$	12.5030	−	11.4267i	0.926781	−	0.847002i
$183$	−0.791029	−	5.51264i	−0.0584746	−	0.407506i
$184$	−8.90297	+	21.2565i	−0.656336	+	1.56705i
$185$	−6.33782	−	3.41630i	−0.465966	−	0.251172i
$186$	12.7258	−	4.78094i	0.933103	−	0.350556i
$187$	0.984790	−	1.70571i	0.0720150	−	0.124734i
$188$	−11.0718	+	15.7242i	−0.807496	+	1.14680i
$189$	−9.58213	−	0.923075i	−0.696998	−	0.0671438i
$190$	−14.5138	+	3.64523i	−1.05294	+	0.264453i
$191$	−9.10363	+	15.7680i	−0.658716	+	1.14093i	0.322233	+	0.946661i	$0.395567\pi$
$191$	−9.10363	+	15.7680i	−0.658716	+	1.14093i	−0.980948	+	0.194269i	$0.937767\pi$
$192$	−12.7817	+	5.35050i	−0.922441	+	0.386139i
$193$	19.6102	−	11.3220i	1.41158	−	0.814974i	0.416039	−	0.909347i	$-0.363418\pi$
$193$	19.6102	−	11.3220i	1.41158	−	0.814974i	0.995537	+	0.0943730i	$0.0300846\pi$
$194$	−4.23226	−	19.2098i	−0.303858	−	1.37918i
$195$	−19.2254	+	16.0406i	−1.37676	+	1.14869i
$196$	6.47495	−	2.99864i	0.462496	−	0.214189i
$197$	−12.2075			−0.869747			−0.434873	−	0.900492i	$-0.643207\pi$
$197$	−12.2075			−0.869747			−0.434873	+	0.900492i	$0.643207\pi$
$198$	−14.1418	−	0.306984i	−1.00501	−	0.0218164i
$199$	−14.9325			−1.05854			−0.529269	−	0.848454i	$-0.677534\pi$
$199$	−14.9325			−1.05854			−0.529269	+	0.848454i	$0.677534\pi$
$200$	13.3410	+	4.69236i	0.943350	+	0.331800i
$201$	−4.29701	+	10.7247i	−0.303088	+	0.756465i
$202$	4.38050	+	19.8827i	0.308211	+	1.39894i
$203$	−0.145103	−	0.251325i	−0.0101842	−	0.0176396i
$204$	1.11502	+	1.71597i	0.0780668	+	0.120142i
$205$	−0.121366	−	4.15329i	−0.00847657	−	0.290079i
$206$	11.0664	+	3.50521i	0.771035	+	0.244220i
$207$	−6.87346	−	23.4573i	−0.477739	−	1.63039i
$208$	8.71670	+	24.3460i	0.604395	+	1.68809i
$209$	−7.88868	+	13.6636i	−0.545672	+	0.945131i
$210$	9.39069	−	3.84459i	0.648019	−	0.265302i
$211$	−5.55973	+	3.20991i	−0.382748	+	0.220980i	−0.679013	−	0.734126i	$-0.737592\pi$
$211$	−5.55973	+	3.20991i	−0.382748	+	0.220980i	0.296265	+	0.955106i	$0.404259\pi$
$212$	1.14945	−	12.7525i	0.0789448	−	0.875848i
$213$	−2.35644	−	2.99818i	−0.161461	−	0.205432i
$214$	−16.6605	−	18.2297i	−1.13889	−	1.24616i
$215$	−4.13321	+	2.55011i	−0.281882	+	0.173916i
$216$	6.95142	−	12.9490i	0.472984	−	0.881071i
$217$			10.2817i			0.697969i
$218$	16.8164	−	15.3688i	1.13895	−	1.04091i
$219$	−20.8309	+	16.3722i	−1.40762	+	1.10633i
$220$	13.3410	−	6.65837i	0.899451	−	0.448907i
$221$	3.30744	−	1.90955i	0.222483	−	0.128450i
$222$	1.28945	−	7.78101i	0.0865421	−	0.522227i
$223$	−20.2535	−	11.6934i	−1.35628	−	0.783046i	−0.367156	−	0.930159i	$-0.619668\pi$
$223$	−20.2535	−	11.6934i	−1.35628	−	0.783046i	−0.989120	+	0.147113i	$0.953002\pi$
$224$	−0.388388	−	10.4728i	−0.0259503	−	0.699743i
$225$	−14.1239	+	5.05132i	−0.941592	+	0.336755i
$226$	−5.63765	−	1.78569i	−0.375011	−	0.118782i
$227$	−11.6127	+	20.1137i	−0.770760	+	1.33500i	0.166387	+	0.986061i	$0.446790\pi$
$227$	−11.6127	+	20.1137i	−0.770760	+	1.33500i	−0.937147	+	0.348935i	$0.886543\pi$
$228$	−8.93187	−	13.7458i	−0.591528	−	0.910338i
$229$	6.49252	−	3.74846i	0.429038	−	0.247705i	−0.269899	−	0.962889i	$-0.586990\pi$
$229$	6.49252	−	3.74846i	0.429038	−	0.247705i	0.698937	+	0.715184i	$0.253657\pi$
$230$	17.9303	+	18.5035i	1.18229	+	1.22009i
$231$	3.97895	−	9.93092i	0.261796	−	0.653406i
$232$	0.439496	−	0.0561005i	0.0288543	−	0.00368318i
$233$		−	19.5735i		−	1.28230i	−0.767414	−	0.641152i	$-0.778457\pi$
$233$		−	19.5735i		−	1.28230i	0.767414	−	0.641152i	$-0.221543\pi$
$234$	−23.4502	−	14.2263i	−1.53299	−	0.930003i
$235$	11.2898	+	18.2985i	0.736466	+	1.19366i
$236$	1.62670	+	3.51252i	0.105889	+	0.228646i
$237$	2.06858	−	0.296829i	0.134369	−	0.0192811i
$238$	−1.51151	+	0.333013i	−0.0979768	+	0.0215860i
$239$	2.50305	+	4.33540i	0.161909	+	0.280434i	0.935553	−	0.353186i	$-0.114902\pi$
$239$	2.50305	+	4.33540i	0.161909	+	0.280434i	−0.773645	+	0.633620i	$0.781568\pi$
$240$	−0.124720	+	15.4914i	−0.00805064	+	0.999968i
$241$	5.73015	−	9.92490i	0.369111	−	0.639319i	−0.620316	−	0.784352i	$-0.712995\pi$
$241$	5.73015	−	9.92490i	0.369111	−	0.639319i	0.989427	+	0.145033i	$0.0463288\pi$
$242$	0.0494603	−	0.156153i	0.00317943	−	0.0100379i
$243$	2.92878	+	15.3109i	0.187882	+	0.982192i
$244$	−3.70229	+	5.25798i	−0.237015	+	0.336608i
$245$	−0.233026	−	7.97444i	−0.0148875	−	0.509468i
$246$	4.26088	−	1.60076i	0.271664	−	0.102061i
$247$	−26.4943	+	15.2965i	−1.68580	+	0.973294i
$248$	−14.4786	−	6.06417i	−0.919395	−	0.385075i
$249$	−7.27275	+	1.04359i	−0.460892	+	0.0661350i
$250$	10.6930	−	11.6473i	0.676283	−	0.736642i
$251$		−	5.20608i		−	0.328605i	−0.986410	−	0.164303i	$-0.947463\pi$
$251$		−	5.20608i		−	0.328605i	0.986410	−	0.164303i	$-0.0525373\pi$
$252$	7.31906	+	8.36603i	0.461058	+	0.527010i
$253$	27.1653			1.70787
$254$	−1.23602	+	1.12962i	−0.0775547	+	0.0708786i
$255$	2.25430	−	0.390992i	0.141170	−	0.0244849i
$256$	14.9768	+	5.62994i	0.936048	+	0.351871i
$257$	8.63681	−	4.98647i	0.538750	−	0.311047i	−0.205822	−	0.978589i	$-0.565987\pi$
$257$	8.63681	−	4.98647i	0.538750	−	0.311047i	0.744572	+	0.667542i	$0.232654\pi$
$258$	−4.11049	−	3.37752i	−0.255908	−	0.210275i
$259$	5.16607	+	2.98263i	0.321004	+	0.185332i
$260$	28.8585	+	1.75326i	1.78973	+	0.108733i
$261$	−0.324484	+	0.339929i	−0.0200851	+	0.0210411i
$262$	9.58468	+	3.03588i	0.592144	+	0.187557i
$263$	10.2358	+	5.90965i	0.631167	+	0.364404i	0.781204	−	0.624276i	$-0.214606\pi$
$263$	10.2358	+	5.90965i	0.631167	+	0.364404i	−0.150037	+	0.988680i	$0.547939\pi$
$264$	11.6378	+	11.4604i	0.716259	+	0.705338i
$265$	−12.6014	−	6.79261i	−0.774100	−	0.417266i
$266$	12.1080	−	2.66761i	0.742389	−	0.163561i
$267$	−13.1854	−	16.7762i	−0.806932	−	1.02669i
$268$	12.1057	−	5.60634i	0.739474	−	0.342461i
$269$		−	16.1799i		−	0.986508i	−0.869885	−	0.493254i	$-0.835807\pi$
$269$		−	16.1799i		−	0.986508i	0.869885	−	0.493254i	$-0.164193\pi$
$270$	−10.2505	−	12.8424i	−0.623826	−	0.781563i
$271$	20.1093			1.22155			0.610776	−	0.791803i	$-0.290857\pi$
$271$	20.1093			1.22155			0.610776	+	0.791803i	$0.290857\pi$
$272$	0.422546	−	2.32491i	0.0256206	−	0.140968i
$273$	16.3100	−	12.8189i	0.987124	−	0.775837i
$274$	1.18310	+	5.36997i	0.0714736	+	0.324412i
$275$	−0.973430	−	16.6418i	−0.0587000	−	1.00354i
$276$	−12.8071	+	25.1521i	−0.770899	+	1.51398i
$277$	1.26920	−	2.19832i	0.0762588	−	0.132084i	−0.825374	−	0.564586i	$-0.809036\pi$
$277$	1.26920	−	2.19832i	0.0762588	−	0.132084i	0.901633	+	0.432502i	$0.142369\pi$
$278$	−4.23130	−	1.34023i	−0.253777	−	0.0803819i
$279$	15.9777	−	4.68179i	0.956560	−	0.280292i
$280$	−10.9349	−	4.20890i	−0.653488	−	0.251530i
$281$	−3.84074	+	6.65235i	−0.229119	+	0.396846i	−0.957547	−	0.288276i	$-0.906918\pi$
$281$	−3.84074	+	6.65235i	−0.229119	+	0.396846i	0.728428	+	0.685122i	$0.240251\pi$
$282$	−14.9529	+	18.1979i	−0.890433	+	1.08367i
$283$	1.95480	+	3.38581i	0.116201	+	0.201266i	0.918259	−	0.395980i	$-0.129595\pi$
$283$	1.95480	+	3.38581i	0.116201	+	0.201266i	−0.802058	+	0.597246i	$0.796262\pi$
$284$	−0.395292	+	4.38554i	−0.0234563	+	0.260234i
$285$	−18.0582	+	3.13205i	−1.06967	+	0.185527i
$286$	22.5008	−	20.5639i	1.33050	−	1.21597i
$287$			3.44254i			0.203207i
$288$	−16.0978	+	5.37235i	−0.948570	+	0.316569i
$289$	16.6510			0.979472
$290$	0.135720	−	0.476403i	0.00796974	−	0.0279753i
$291$	−3.42190	−	23.8471i	−0.200596	−	1.39794i
$292$	30.4701	+	2.74643i	1.78313	+	0.160723i
$293$	−0.689283	−	1.19387i	−0.0402683	−	0.0697468i	0.845189	−	0.534468i	$-0.179488\pi$
$293$	−0.689283	−	1.19387i	−0.0402683	−	0.0697468i	−0.885457	+	0.464721i	$0.846155\pi$
$294$	8.18100	−	3.07351i	0.477126	−	0.179251i
$295$	4.32597	−	0.126412i	0.251868	−	0.00735998i
$296$	−7.24707	+	5.51566i	−0.421227	+	0.320591i
$297$	−17.2444	−	1.66120i	−1.00062	−	0.0963925i
$298$	−9.76426	−	3.09276i	−0.565629	−	0.179159i
$299$	45.6176	+	26.3374i	2.63814	+	1.52313i
$300$	15.8674	+	6.94450i	0.916104	+	0.400941i
$301$	3.48468	−	2.01188i	0.200854	−	0.115963i
$302$	−18.7197	+	4.12429i	−1.07720	+	0.237326i
$303$	3.54176	+	24.6824i	0.203469	+	1.41797i
$304$	−3.38481	+	18.6237i	−0.194132	+	1.06814i
$305$	3.77518	+	6.11879i	0.216166	+	0.350361i
$306$	1.20577	+	2.19724i	0.0689291	+	0.125608i
$307$	−27.3968			−1.56362			−0.781808	−	0.623519i	$-0.785702\pi$
$307$	−27.3968			−1.56362			−0.781808	+	0.623519i	$0.785702\pi$
$308$	−11.2097	+	5.19136i	−0.638730	+	0.295805i
$309$	13.1973	+	5.28768i	0.750769	+	0.300805i
$310$	−12.6035	+	12.2130i	−0.715831	+	0.693654i
$311$	2.27190	+	3.93505i	0.128828	+	0.223136i	0.923223	−	0.384265i	$-0.125545\pi$
$311$	2.27190	+	3.93505i	0.128828	+	0.223136i	−0.794395	+	0.607402i	$0.792212\pi$
$312$	8.43188	+	30.5282i	0.477361	+	1.72832i
$313$	15.7733	+	9.10673i	0.891561	+	0.514743i	0.874453	−	0.485111i	$-0.161221\pi$
$313$	15.7733	+	9.10673i	0.891561	+	0.514743i	0.0171079	+	0.999854i	$0.494554\pi$
$314$	−1.36037	+	4.29488i	−0.0767704	+	0.242374i
$315$	11.8191	−	3.84151i	0.665932	−	0.216445i
$316$	−1.97302	−	1.38926i	−0.110991	−	0.0781520i
$317$	−3.94082	+	6.82570i	−0.221338	+	0.383369i	−0.955215	−	0.295914i	$-0.904376\pi$
$317$	−3.94082	+	6.82570i	−0.221338	+	0.383369i	0.733876	+	0.679283i	$0.237709\pi$
$318$	2.56380	−	15.4709i	0.143771	−	0.867566i
$319$	−0.261132	−	0.452294i	−0.0146206	−	0.0253236i
$320$	12.3764	−	12.9161i	0.691860	−	0.722031i
$321$	−18.6904	−	23.7805i	−1.04320	−	1.32730i
$322$	−14.4014	−	15.7579i	−0.802559	−	0.878151i
$323$	2.79555			0.155548
$324$	9.66798	−	15.1832i	0.537110	−	0.843512i
$325$	14.4999	−	28.8896i	0.804311	−	1.60251i
$326$	−13.7747	−	15.0721i	−0.762910	−	0.834768i
$327$	21.9368	−	17.2414i	1.21311	−	0.953451i
$328$	−4.84776	−	2.03041i	−0.267673	−	0.112111i
$329$	−8.90697	−	15.4273i	−0.491057	−	0.850536i
$330$	16.8998	−	6.91886i	0.930305	−	0.380871i
$331$	3.80014	+	2.19401i	0.208874	+	0.120594i	0.600788	−	0.799408i	$-0.294854\pi$
$331$	3.80014	+	2.19401i	0.208874	+	0.120594i	−0.391914	+	0.920002i	$0.628187\pi$
$332$	6.93677	+	4.88438i	0.380705	+	0.268065i
$333$	2.28260	−	9.38616i	0.125086	−	0.514358i
$334$	−16.2204	−	5.13769i	−0.887540	−	0.281122i
$335$	−0.435671	−	14.9092i	−0.0238033	−	0.814577i
$336$	0.478186	−	12.8264i	0.0260872	−	0.699738i
$337$	−9.50739	+	5.48909i	−0.517900	+	0.299010i	−0.736075	−	0.676900i	$-0.763323\pi$
$337$	−9.50739	+	5.48909i	−0.517900	+	0.299010i	0.218175	+	0.975910i	$0.429990\pi$
$338$	39.7677	−	8.76152i	2.16308	−	0.476564i
$339$	−6.72320	−	2.69374i	−0.365154	−	0.146304i
$340$	−2.20364	−	1.45727i	−0.119509	−	0.0790315i
$341$			18.5034i			1.00201i
$342$	−9.65882	−	17.6010i	−0.522289	−	0.951753i
$343$			19.5781i			1.05712i
$344$	0.777846	+	6.09371i	0.0419386	+	0.328551i
$345$	20.2164	+	24.2304i	1.08841	+	1.30452i
$346$	−15.0466	+	3.31503i	−0.808911	+	0.178217i
$347$	−1.19627	−	2.07199i	−0.0642189	−	0.111230i	0.832128	−	0.554583i	$-0.187122\pi$
$347$	−1.19627	−	2.07199i	−0.0642189	−	0.111230i	−0.896347	+	0.443353i	$0.853789\pi$
$348$	0.541886	−	0.0285449i	0.0290481	−	0.00153017i
$349$	−17.7287	−	10.2357i	−0.948995	−	0.547903i	−0.0562266	−	0.998418i	$-0.517907\pi$
$349$	−17.7287	−	10.2357i	−0.948995	−	0.547903i	−0.892769	+	0.450515i	$0.851240\pi$
$350$	−9.13739	+	9.38712i	−0.488414	+	0.501763i
$351$	−27.3472	−	19.5084i	−1.45969	−	1.04128i
$352$	−0.698957	−	18.8472i	−0.0372545	−	1.00456i
$353$	−22.2359	−	12.8379i	−1.18350	−	0.683293i	−0.226677	−	0.973970i	$-0.572786\pi$
$353$	−22.2359	−	12.8379i	−1.18350	−	0.683293i	−0.956821	+	0.290677i	$0.906119\pi$
$354$	1.66731	+	4.43802i	0.0886167	+	0.235878i
$355$	4.33357	+	2.33595i	0.230002	+	0.123979i
$356$	−2.21184	+	24.5391i	−0.117227	+	1.30057i
$357$	−1.87639	+	0.269250i	−0.0993093	+	0.0142502i
$358$	0.379513	−	0.346844i	0.0200579	−	0.0183313i
$359$	−13.8514			−0.731051			−0.365525	−	0.930801i	$-0.619111\pi$
$359$	−13.8514			−0.731051			−0.365525	+	0.930801i	$0.619111\pi$
$360$	−1.56134	+	18.9093i	−0.0822900	+	0.996608i
$361$	−3.39378			−0.178620
$362$	−3.20464	+	2.92878i	−0.168432	+	0.153933i
$363$	0.0746118	−	0.186221i	0.00391611	−	0.00977406i
$364$	−23.8571	−	2.15037i	−1.25045	−	0.112710i
$365$	16.2298	−	30.1090i	0.849507	−	1.57598i
$366$	−5.00008	+	6.08516i	−0.261358	+	0.318076i
$367$	16.1398	+	9.31834i	0.842493	+	0.486414i	0.858111	−	0.513464i	$-0.171638\pi$
$367$	16.1398	+	9.31834i	0.842493	+	0.486414i	−0.0156178	+	0.999878i	$0.504972\pi$
$368$	30.6840	−	10.9859i	1.59952	−	0.572681i
$369$	5.34967	−	1.56756i	0.278493	−	0.0816041i
$370$	2.48030	+	9.87554i	0.128945	+	0.513405i
$371$	10.2717	+	5.93034i	0.533278	+	0.307888i
$372$	−17.1321	−	8.72345i	−0.888259	−	0.452290i
$373$	−10.8701	−	18.8276i	−0.562834	−	0.974858i	−0.997248	−	0.0741441i	$-0.976378\pi$
$373$	−10.8701	−	18.8276i	−0.562834	−	0.974858i	0.434413	−	0.900714i	$-0.356956\pi$
$374$	−2.72017	+	0.599301i	−0.140657	+	0.0309891i
$375$	14.1194	−	13.2531i	0.729121	−	0.684385i
$376$	26.9780	−	3.44367i	1.39128	−	0.177594i
$377$		−	1.01269i		−	0.0521564i
$378$	8.17830	+	10.8837i	0.420647	+	0.559795i
$379$		−	26.5083i		−	1.36164i	−0.732450	−	0.680821i	$-0.761623\pi$
$379$		−	26.5083i		−	1.36164i	0.732450	−	0.680821i	$-0.238377\pi$
$380$	17.6523	+	11.6735i	0.905546	+	0.598837i
$381$	−1.61237	+	1.26725i	−0.0826042	+	0.0649234i
$382$	25.1459	−	5.54008i	1.28658	−	0.283455i
$383$	−9.17444	+	5.29687i	−0.468792	+	0.270657i	−0.715734	−	0.698373i	$-0.753908\pi$
$383$	−9.17444	+	5.29687i	−0.468792	+	0.270657i	0.246942	+	0.969030i	$0.420574\pi$
$384$	17.7800	+	8.23841i	0.907332	+	0.420414i
$385$	0.403424	+	13.8056i	0.0205604	+	0.703601i
$386$	−30.5286	−	9.66971i	−1.55386	−	0.492175i
$387$	−4.71319	−	4.49904i	−0.239585	−	0.228699i
$388$	−16.0157	+	22.7454i	−0.813074	+	1.15472i
$389$	−28.8599	−	16.6623i	−1.46326	−	0.844811i	−0.464095	−	0.885785i	$-0.653621\pi$
$389$	−28.8599	−	16.6623i	−1.46326	−	0.844811i	−0.999160	+	0.0409742i	$0.986954\pi$
$390$	35.0872	+	4.76618i	1.77671	+	0.241345i
$391$	−2.40667	−	4.16847i	−0.121710	−	0.210809i
$392$	−9.30783	−	3.89845i	−0.470116	−	0.196902i
$393$	11.4303	+	4.57968i	0.576580	+	0.231014i
$394$	11.6467	+	12.7436i	0.586750	+	0.642016i
$395$	−2.29604	+	1.41661i	−0.115526	+	0.0712775i
$396$	13.1716	+	15.0558i	0.661900	+	0.756583i
$397$	−20.1614			−1.01187			−0.505936	−	0.862571i	$-0.668853\pi$
$397$	−20.1614			−1.01187			−0.505936	+	0.862571i	$0.668853\pi$
$398$	14.2465	+	15.5884i	0.714113	+	0.781375i
$399$	15.0309	−	2.15684i	0.752486	−	0.107977i
$400$	−7.82962	−	18.4037i	−0.391481	−	0.920186i
$401$	1.93691	+	3.35482i	0.0967246	+	0.167532i	0.910327	−	0.413890i	$-0.135830\pi$
$401$	1.93691	+	3.35482i	0.0967246	+	0.167532i	−0.813602	+	0.581422i	$0.802497\pi$
$402$	15.2954	−	5.74630i	0.762865	−	0.286599i
$403$	−17.9394	+	31.0720i	−0.893627	+	1.54781i
$404$	16.5767	−	23.5421i	0.824721	−	1.17127i
$405$	−11.3515	−	16.6176i	−0.564061	−	0.825733i
$406$	−0.123927	+	0.391255i	−0.00615040	+	0.0194176i
$407$	9.29705	+	5.36765i	0.460837	+	0.266065i
$408$	0.727542	−	2.80112i	0.0360187	−	0.138676i
$409$	15.0600	+	26.0847i	0.744671	+	1.28981i	0.950348	+	0.311188i	$0.100727\pi$
$409$	15.0600	+	26.0847i	0.744671	+	1.28981i	−0.205678	+	0.978620i	$0.565940\pi$
$410$	−4.21992	+	4.08918i	−0.208407	+	0.201950i
$411$	0.956569	+	6.66629i	0.0471841	+	0.328824i
$412$	−6.89886	−	14.8967i	−0.339882	−	0.733906i
$413$	−3.58567			−0.176439
$414$	−17.9298	+	29.5550i	−0.881204	+	1.45255i
$415$	8.07243	−	4.98054i	0.396260	−	0.244485i
$416$	17.0991	−	32.3271i	0.838352	−	1.58497i
$417$	−5.04605	−	2.02177i	−0.247106	−	0.0990064i
$418$	21.7900	−	4.80072i	1.06578	−	0.234811i
$419$	−23.7922	+	13.7364i	−1.16232	+	0.671067i	−0.951860	−	0.306534i	$-0.900831\pi$
$419$	−23.7922	+	13.7364i	−1.16232	+	0.671067i	−0.210463	+	0.977602i	$0.567497\pi$
$420$	−12.9727	−	6.13518i	−0.633004	−	0.299366i
$421$	0.0412004	+	0.0237870i	0.00200798	+	0.00115931i	0.501004	−	0.865445i	$-0.332964\pi$
$421$	0.0412004	+	0.0237870i	0.00200798	+	0.00115931i	−0.498996	+	0.866604i	$0.666298\pi$
$422$	8.65521	+	2.74148i	0.421329	+	0.133453i
$423$	−19.9181	+	20.8662i	−0.968451	+	1.01455i
$424$	−14.4093	+	10.9667i	−0.699777	+	0.532592i
$425$	−2.46741	+	1.62372i	−0.119687	+	0.0787621i
$426$	−0.881679	+	5.32038i	−0.0427175	+	0.257773i
$427$	−2.97839	−	5.15872i	−0.144134	−	0.249648i
$428$	−3.13531	+	34.7845i	−0.151551	+	1.68137i
$429$	29.3520	−	23.0694i	1.41713	−	1.11380i
$430$	6.60544	+	1.88179i	0.318542	+	0.0907478i
$431$	−6.98377			−0.336396			−0.168198	−	0.985753i	$-0.553795\pi$
$431$	−6.98377			−0.336396			−0.168198	+	0.985753i	$0.553795\pi$
$432$	−20.1498	+	5.09742i	−0.969460	+	0.245250i
$433$			13.4813i			0.647869i	0.946080	+	0.323934i	$0.105006\pi$
$433$			13.4813i			0.647869i	−0.946080	+	0.323934i	$0.894994\pi$
$434$	10.7333	−	9.80938i	0.515216	−	0.470865i
$435$	0.209094	−	0.569516i	0.0100253	−	0.0273062i
$436$	−32.0877	−	2.89223i	−1.53672	−	0.138513i
$437$	19.2787	+	33.3916i	0.922224	+	1.59734i
$438$	36.9652	+	6.12578i	1.76627	+	0.292701i
$439$	2.35018	−	4.07064i	0.112168	−	0.194281i	−0.804476	−	0.593985i	$-0.797554\pi$
$439$	2.35018	−	4.07064i	0.112168	−	0.194281i	0.916644	+	0.399704i	$0.130887\pi$
$440$	−19.6789	−	7.57448i	−0.938156	−	0.361099i
$441$	10.2715	−	3.00977i	0.489120	−	0.143322i
$442$	−5.14892	−	1.63088i	−0.244909	−	0.0775732i
$443$	4.10464	−	7.10944i	0.195017	−	0.337780i	−0.751889	−	0.659290i	$-0.770857\pi$
$443$	4.10464	−	7.10944i	0.195017	−	0.337780i	0.946906	+	0.321510i	$0.104190\pi$
$444$	−9.35298	+	6.07746i	−0.443873	+	0.288424i
$445$	24.2483	+	13.0707i	1.14948	+	0.619610i
$446$	7.11609	+	32.2992i	0.336957	+	1.52941i
$447$	−11.6444	−	4.66549i	−0.550762	−	0.220670i
$448$	−10.5622	+	10.3971i	−0.499019	+	0.491217i
$449$	−35.1881			−1.66063			−0.830314	−	0.557297i	$-0.811839\pi$
$449$	−35.1881			−1.66063			−0.830314	+	0.557297i	$0.811839\pi$
$450$	18.7482	+	9.92497i	0.883799	+	0.467867i
$451$			6.19532i			0.291726i
$452$	3.51454	+	7.58892i	0.165310	+	0.356953i
$453$	−23.2387	+	3.33461i	−1.09185	+	0.156673i
$454$	32.0763	−	7.06698i	1.50542	−	0.331670i
$455$	−12.7074	+	23.5744i	−0.595734	+	1.10519i
$456$	−5.82800	+	22.4385i	−0.272921	+	1.05078i
$457$	−30.6355	−	17.6874i	−1.43307	−	0.827383i	−0.435716	−	0.900084i	$-0.643505\pi$
$457$	−30.6355	−	17.6874i	−1.43307	−	0.827383i	−0.997354	+	0.0727007i	$0.976838\pi$
$458$	−10.1073	−	3.20143i	−0.472285	−	0.149593i
$459$	1.27283	+	2.79329i	0.0594106	+	0.130380i
$460$	2.20969	−	36.3713i	0.103027	−	1.69582i
$461$	13.7003	+	7.90989i	0.638088	+	0.368400i	0.783878	−	0.620915i	$-0.213239\pi$
$461$	13.7003	+	7.90989i	0.638088	+	0.368400i	−0.145790	+	0.989316i	$0.546572\pi$
$462$	−14.1632	+	5.32097i	−0.658934	+	0.247554i
$463$	−5.52455	+	3.18960i	−0.256748	+	0.148233i	−0.622850	−	0.782341i	$-0.714025\pi$
$463$	−5.52455	+	3.18960i	−0.256748	+	0.148233i	0.366102	+	0.930575i	$0.380692\pi$
$464$	−0.477869	−	0.405276i	−0.0221845	−	0.0188144i
$465$	−16.5043	+	13.7702i	−0.765368	+	0.638578i
$466$	−20.4332	+	18.6743i	−0.946550	+	0.865070i
$467$	−24.9649			−1.15524			−0.577618	−	0.816307i	$-0.696018\pi$
$467$	−24.9649			−1.15524			−0.577618	+	0.816307i	$0.696018\pi$
$468$	7.52171	+	38.0529i	0.347691	+	1.75899i
$469$			12.3578i			0.570630i
$470$	8.33101	−	29.2435i	0.384281	−	1.34890i
$471$	−2.05215	+	5.12188i	−0.0945581	+	0.236004i
$472$	2.11483	−	5.04930i	0.0973429	−	0.232413i
$473$	6.27116	−	3.62065i	0.288348	−	0.166478i
$474$	−2.28342	−	1.87625i	−0.104881	−	0.0861789i
$475$	19.7653	−	13.0069i	0.906893	−	0.596796i
$476$	1.78971	+	1.26019i	0.0820312	+	0.0577605i
$477$	4.53848	−	18.6624i	0.207803	−	0.854494i
$478$	2.13776	−	6.74921i	0.0977791	−	0.308702i
$479$	−1.38572	+	2.40013i	−0.0633150	+	0.109665i	−0.895945	−	0.444164i	$-0.853501\pi$
$479$	−1.38572	+	2.40013i	−0.0633150	+	0.109665i	0.832630	+	0.553829i	$0.186834\pi$
$480$	16.2908	−	14.6495i	0.743571	−	0.668657i
$481$	10.4081	+	18.0274i	0.474570	+	0.821979i
$482$	−15.8277	+	3.48712i	−0.720933	+	0.158834i
$483$	−16.1561	−	20.5559i	−0.735127	−	0.935327i
$484$	−0.210199	+	0.0973464i	−0.00955452	+	0.00442484i
$485$	16.3310	+	26.4692i	0.741553	+	1.20191i
$486$	13.1891	−	17.6649i	0.598269	−	0.801295i
$487$		−	20.8545i		−	0.945008i	−0.881329	−	0.472504i	$-0.843350\pi$
$487$		−	20.8545i		−	0.945008i	0.881329	−	0.472504i	$-0.156650\pi$
$488$	9.02112	−	1.15152i	0.408367	−	0.0521270i
$489$	−15.4530	−	19.6614i	−0.698810	−	0.889119i
$490$	−8.10237	+	7.85135i	−0.366028	+	0.354688i
$491$	−32.5679	+	18.8031i	−1.46977	+	0.848571i	−0.999425	−	0.0339131i	$-0.989203\pi$
$491$	−32.5679	+	18.8031i	−1.46977	+	0.848571i	−0.470343	+	0.882484i	$0.655870\pi$
$492$	−5.73620	−	2.92080i	−0.258608	−	0.131680i
$493$	−0.0462692	+	0.0801406i	−0.00208386	+	0.00360935i
$494$	41.2455	+	13.0642i	1.85572	+	0.587787i
$495$	21.2701	−	6.91333i	0.956021	−	0.310731i
$496$	7.48296	+	20.9001i	0.335995	+	0.938444i
$497$	−3.53238	−	2.03942i	−0.158449	−	0.0914804i
$498$	8.02806	+	6.59653i	0.359746	+	0.295597i
$499$	26.4715	−	15.2833i	1.18503	−	0.684175i	0.227854	−	0.973695i	$-0.426829\pi$
$499$	26.4715	−	15.2833i	1.18503	−	0.684175i	0.957172	+	0.289520i	$0.0934958\pi$
$500$	−22.3606	−	0.0503652i	−0.999997	−	0.00225240i
$501$	−19.3437	−	7.75031i	−0.864212	−	0.346258i
$502$	−5.43474	+	4.96691i	−0.242564	+	0.221684i
$503$		−	20.6381i		−	0.920208i	−0.887865	−	0.460104i	$-0.847812\pi$
$503$		−	20.6381i		−	0.920208i	0.887865	−	0.460104i	$-0.152188\pi$
$504$	1.75066	−	15.6222i	0.0779805	−	0.695869i
$505$	−16.9030	−	27.3964i	−0.752175	−	1.21912i
$506$	−25.9173	−	28.3584i	−1.15216	−	1.26068i
$507$	49.3677	−	7.08394i	2.19249	−	0.314609i
$508$	2.35847	+	0.212581i	0.104640	+	0.00943177i
$509$	1.15035	−	0.664155i	0.0509884	−	0.0294381i	−0.474289	−	0.880369i	$-0.657295\pi$
$509$	1.15035	−	0.664155i	0.0509884	−	0.0294381i	0.525277	+	0.850931i	$0.323962\pi$
$510$	−2.55890	−	1.98029i	−0.113310	−	0.0876885i
$511$	−14.1696	+	24.5424i	−0.626825	+	1.08569i
$512$	−8.41151	−	21.0059i	−0.371740	−	0.928337i
$513$	−10.1960	−	22.3757i	−0.450166	−	0.987912i
$514$	−13.4455	−	4.25877i	−0.593056	−	0.187846i
$515$	−18.3465	+	0.536114i	−0.808443	+	0.0236240i
$516$	0.395782	+	7.51338i	0.0174233	+	0.330758i
$517$	−16.0293	−	27.7636i	−0.704968	−	1.22104i
$518$	−1.81510	−	8.23858i	−0.0797511	−	0.361982i
$519$	−18.6789	+	2.68030i	−0.819913	+	0.117652i
$520$	−25.7025	−	31.7987i	−1.12713	−	1.39447i
$521$	0.811244			0.0355412			0.0177706	−	0.999842i	$-0.494343\pi$
$521$	0.811244			0.0355412			0.0177706	+	0.999842i	$0.494343\pi$
$522$	0.664436	+	0.0144233i	0.0290816	+	0.000631289i
$523$	30.4237			1.33034			0.665169	−	0.746693i	$-0.268360\pi$
$523$	30.4237			1.33034			0.665169	+	0.746693i	$0.268360\pi$
$524$	−5.97513	−	12.9021i	−0.261025	−	0.563629i
$525$	−12.0139	+	10.6340i	−0.524328	+	0.464106i
$526$	−3.59636	−	16.3235i	−0.156809	−	0.711740i
$527$	2.83931	−	1.63928i	0.123682	−	0.0714081i
$528$	0.860560	−	23.0829i	0.0374511	−	1.00455i
$529$	21.6938	−	37.5747i	0.943207	−	1.63368i
$530$	4.93156	+	19.6354i	0.214213	+	0.852909i
$531$	1.63274	+	5.57209i	0.0708547	+	0.241808i
$532$	−14.3365	−	10.0947i	−0.621567	−	0.437663i
$533$	−6.00651	+	10.4036i	−0.260171	+	0.450629i
$534$	−4.93340	+	29.7700i	−0.213489	+	1.28827i
$535$	34.3723	+	18.5279i	1.48605	+	0.801030i
$536$	−17.4021	−	7.28864i	−0.751658	−	0.314821i
$537$	0.495070	−	0.389104i	0.0213639	−	0.0167911i
$538$	−16.8906	+	15.4366i	−0.728205	+	0.665520i
$539$			11.8952i			0.512362i
$540$	−3.62685	+	22.9531i	−0.156075	+	0.987745i
$541$			11.9797i			0.515048i	0.966272	+	0.257524i	$0.0829067\pi$
$541$			11.9797i			0.515048i	−0.966272	+	0.257524i	$0.917093\pi$
$542$	−19.1855	−	20.9925i	−0.824086	−	0.901706i
$543$	−4.18041	+	3.28563i	−0.179399	+	0.141000i
$544$	−2.83015	+	1.77700i	−0.121342	+	0.0761881i
$545$	−17.0914	+	31.7075i	−0.732116	+	1.35820i
$546$	−28.9426	−	4.79629i	−1.23863	−	0.205262i
$547$	−4.69681	+	8.13511i	−0.200821	+	0.347832i	−0.948793	−	0.315898i	$-0.897694\pi$
$547$	−4.69681	+	8.13511i	−0.200821	+	0.347832i	0.747972	+	0.663730i	$0.231028\pi$
$548$	4.47708	−	6.35833i	0.191251	−	0.271614i
$549$	−6.66038	+	6.97741i	−0.284258	+	0.297789i
$550$	−16.4440	+	16.8934i	−0.701173	+	0.720337i
$551$	0.370640	−	0.641968i	0.0157898	−	0.0273488i
$552$	38.4756	−	10.6270i	1.63763	−	0.452313i
$553$	1.93578	−	1.11762i	0.0823176	−	0.0475261i
$554$	−3.50576	+	0.772381i	−0.148946	+	0.0328153i
$555$	2.13112	+	12.2872i	0.0904612	+	0.521563i
$556$	2.63781	+	5.69581i	0.111868	+	0.241556i
$557$	−8.56289			−0.362821			−0.181411	−	0.983407i	$-0.558066\pi$
$557$	−8.56289			−0.362821			−0.181411	+	0.983407i	$0.558066\pi$
$558$	−20.1311	−	12.2127i	−0.852217	−	0.517007i
$559$	14.0412			0.593881
$560$	6.03883	+	15.4308i	0.255187	+	0.652069i
$561$	−3.37682	+	0.484553i	−0.142570	+	0.0204578i
$562$	10.6088	−	2.33731i	0.447506	−	0.0985935i
$563$	−5.86483	−	10.1582i	−0.247173	−	0.428116i	0.715567	−	0.698544i	$-0.246168\pi$
$563$	−5.86483	−	10.1582i	−0.247173	−	0.428116i	−0.962740	+	0.270427i	$0.912835\pi$
$564$	33.2631	−	1.75220i	1.40063	−	0.0737809i
$565$	9.34639	−	0.273117i	0.393205	−	0.0114901i
$566$	1.66953	−	5.27092i	0.0701755	−	0.221553i
$567$	8.99876	+	14.0368i	0.377912	+	0.589488i
$568$	4.95529	−	3.77141i	0.207919	−	0.158245i
$569$	19.7153	−	34.1479i	0.826509	−	1.43156i	−0.0742514	−	0.997240i	$-0.523657\pi$
$569$	19.7153	−	34.1479i	0.826509	−	1.43156i	0.900761	−	0.434316i	$-0.143010\pi$
$570$	20.4982	+	15.8631i	0.858573	+	0.664433i
$571$	7.92266	−	4.57415i	0.331553	−	0.191422i	−0.324977	−	0.945722i	$-0.605357\pi$
$571$	7.92266	−	4.57415i	0.331553	−	0.191422i	0.656530	+	0.754300i	$0.272023\pi$
$572$	−42.9341	−	3.86988i	−1.79517	−	0.161808i
$573$	31.2162	−	4.47932i	1.30407	−	0.187126i
$574$	3.59374	−	3.28439i	0.150000	−	0.137088i
$575$	−36.4105	−	18.2747i	−1.51842	−	0.762107i
$576$	20.9665	+	11.6793i	0.873605	+	0.486636i
$577$			20.4943i			0.853190i	0.904443	+	0.426595i	$0.140287\pi$
$577$			20.4943i			0.853190i	−0.904443	+	0.426595i	$0.859713\pi$
$578$	−15.8861	−	17.3823i	−0.660773	−	0.723010i
$579$	−36.4070	−	14.5869i	−1.51302	−	0.606212i
$580$	−0.626812	+	0.312836i	−0.0260269	+	0.0129898i
$581$	−6.80582	+	3.92934i	−0.282353	+	0.163017i
$582$	−21.6298	+	26.3237i	−0.896583	+	1.09115i
$583$	18.4852	+	10.6725i	0.765580	+	0.442008i
$584$	−26.2032	−	34.4286i	−1.08430	−	1.42467i
$585$	42.4208	+	9.01257i	1.75388	+	0.372624i
$586$	−0.588693	+	1.85858i	−0.0243187	+	0.0767773i
$587$	−12.1463	+	21.0379i	−0.501330	+	0.868329i	0.498669	+	0.866793i	$0.333822\pi$
$587$	−12.1463	+	21.0379i	−0.501330	+	0.868329i	−0.999999	+	0.00153627i	$0.999511\pi$
$588$	−11.0137	−	5.60801i	−0.454196	−	0.231271i
$589$	−22.7444	+	13.1315i	−0.937166	+	0.541073i
$590$	−4.25919	−	4.39537i	−0.175348	−	0.180954i
$591$	13.0657	+	16.6239i	0.537451	+	0.683817i
$592$	12.6720	+	2.30311i	0.520818	+	0.0946572i
$593$		−	6.89686i		−	0.283220i	−0.989923	−	0.141610i	$-0.954772\pi$
$593$		−	6.89686i		−	0.283220i	0.989923	−	0.141610i	$-0.0452279\pi$
$594$	14.7180	+	19.5866i	0.603886	+	0.803649i
$595$	2.08271	−	1.28500i	0.0853830	−	0.0526797i
$596$	6.08709	+	13.1438i	0.249337	+	0.538391i
$597$	15.9823	+	20.3349i	0.654113	+	0.832250i
$598$	−16.0278	−	72.7486i	−0.655425	−	2.97491i
$599$	−1.81418	−	3.14225i	−0.0741254	−	0.128389i	0.826580	−	0.562819i	$-0.190283\pi$
$599$	−1.81418	−	3.14225i	−0.0741254	−	0.128389i	−0.900706	+	0.434430i	$0.856950\pi$
$600$	−7.88891	−	23.1898i	−0.322063	−	0.946718i
$601$	0.432510	−	0.749129i	0.0176424	−	0.0305576i	−0.857069	−	0.515201i	$-0.827717\pi$
$601$	0.432510	−	0.749129i	0.0176424	−	0.0305576i	0.874712	+	0.484643i	$0.161051\pi$
$602$	−5.42484	−	1.71828i	−0.221100	−	0.0700318i
$603$	19.2039	−	5.62713i	0.782042	−	0.229155i
$604$	22.1652	+	15.6071i	0.901888	+	0.635044i
$605$	0.00756485	+	0.258878i	0.000307555	+	0.0105249i
$606$	22.3874	−	27.2458i	0.909426	−	1.10678i
$607$	−2.81348	+	1.62436i	−0.114196	+	0.0659309i	−0.556010	−	0.831176i	$-0.687668\pi$
$607$	−2.81348	+	1.62436i	−0.114196	+	0.0659309i	0.441814	+	0.897107i	$0.354335\pi$
$608$	22.6710	−	14.2347i	0.919431	−	0.577292i
$609$	−0.186946	+	0.466592i	−0.00757545	+	0.0189073i
$610$	2.78579	−	9.77868i	0.112793	−	0.395927i
$611$		−	62.1631i		−	2.51485i
$612$	1.14337	−	3.35502i	0.0462179	−	0.135619i
$613$	−13.7010			−0.553380			−0.276690	−	0.960959i	$-0.589238\pi$
$613$	−13.7010			−0.553380			−0.276690	+	0.960959i	$0.589238\pi$
$614$	26.1381	+	28.6001i	1.05485	+	1.15420i
$615$	−5.52598	+	4.61056i	−0.222829	+	0.185916i
$616$	16.1141	+	6.74914i	0.649254	+	0.271931i
$617$	13.1108	−	7.56954i	0.527822	−	0.304738i	−0.212307	−	0.977203i	$-0.568098\pi$
$617$	13.1108	−	7.56954i	0.527822	−	0.304738i	0.740129	+	0.672465i	$0.234764\pi$
$618$	−7.07109	−	18.8217i	−0.284441	−	0.757120i
$619$	−7.93920	−	4.58370i	−0.319103	−	0.184234i	0.331889	−	0.943318i	$-0.392314\pi$
$619$	−7.93920	−	4.58370i	−0.319103	−	0.184234i	−0.650993	+	0.759084i	$0.725647\pi$
$620$	24.7739	+	1.50511i	0.994945	+	0.0604465i
$621$	−24.5870	+	34.4665i	−0.986643	+	1.38309i
$622$	1.94035	−	6.12596i	0.0778011	−	0.245629i
$623$	−19.7653	−	11.4115i	−0.791878	−	0.457191i
$624$	23.8245	−	37.9279i	0.953743	−	1.51833i
$625$	−9.89056	+	22.9603i	−0.395622	+	0.918413i
$626$	−5.54197	−	25.1545i	−0.221502	−	1.00537i
$627$	27.0501	−	3.88152i	1.08028	−	0.155013i
$628$	5.78140	−	2.67745i	0.230703	−	0.106842i
$629$		−	1.90216i		−	0.0758440i
$630$	−15.2864	−	8.67320i	−0.609024	−	0.345549i
$631$	26.2470			1.04488			0.522439	−	0.852677i	$-0.325022\pi$
$631$	26.2470			1.04488			0.522439	+	0.852677i	$0.325022\pi$
$632$	0.432101	+	3.38512i	0.0171881	+	0.134653i
$633$	10.3218	+	4.13557i	0.410255	+	0.164374i
$634$	10.8853	−	2.39822i	0.432309	−	0.0952453i
$635$	1.25623	−	2.33052i	0.0498520	−	0.0924840i
$636$	−18.5964	+	12.0838i	−0.737397	+	0.479153i
$637$	−11.5327	+	19.9752i	−0.456941	+	0.791445i
$638$	−0.223024	+	0.704116i	−0.00882960	+	0.0278762i
$639$	−1.56076	+	6.41792i	−0.0617428	+	0.253889i
$640$	−25.2912	−	0.597252i	−0.999721	−	0.0236085i
$641$	−20.3809	+	35.3008i	−0.804998	+	1.39430i	0.111294	+	0.993788i	$0.464500\pi$
$641$	−20.3809	+	35.3008i	−0.804998	+	1.39430i	−0.916292	+	0.400510i	$0.868833\pi$
$642$	−6.99316	+	42.1993i	−0.275998	+	1.66547i
$643$	−15.9839	−	27.6850i	−0.630345	−	1.09179i	−0.987481	−	0.157737i	$-0.949580\pi$
$643$	−15.9839	−	27.6850i	−0.630345	−	1.09179i	0.357137	−	0.934052i	$-0.383753\pi$
$644$	−2.71018	+	30.0679i	−0.106796	+	1.18484i
$645$	7.89648	+	2.89914i	0.310923	+	0.114153i
$646$	−2.66712	−	2.91833i	−0.104936	−	0.114820i
$647$		−	31.4488i		−	1.23638i	−0.786029	−	0.618190i	$-0.787866\pi$
$647$		−	31.4488i		−	1.23638i	0.786029	−	0.618190i	$-0.212134\pi$
$648$	−25.0739	+	4.39308i	−0.984996	+	0.172577i
$649$	−6.45289			−0.253298
$650$	−43.9923	+	12.4257i	−1.72552	+	0.487374i
$651$	14.0015	−	11.0046i	0.548761	−	0.431303i
$652$	−2.59224	+	28.7594i	−0.101520	+	1.12630i
$653$	−4.85136	−	8.40281i	−0.189849	−	0.328827i	0.755351	−	0.655320i	$-0.227466\pi$
$653$	−4.85136	−	8.40281i	−0.189849	−	0.328827i	−0.945200	+	0.326493i	$0.894133\pi$
$654$	−38.9276	−	6.45099i	−1.52219	−	0.252253i
$655$	−15.8900	+	0.464331i	−0.620873	+	0.0181429i
$656$	2.50545	+	6.99781i	0.0978215	+	0.273219i
$657$	44.5908	+	10.8439i	1.73965	+	0.423063i
$658$	−7.60714	+	24.0168i	−0.296557	+	0.936271i
$659$	17.1787	+	9.91816i	0.669189	+	0.386356i	0.795769	−	0.605600i	$-0.207067\pi$
$659$	17.1787	+	9.91816i	0.669189	+	0.386356i	−0.126580	+	0.991956i	$0.540400\pi$
$660$	−23.3462	−	11.0411i	−0.908749	−	0.429773i
$661$	34.2332	−	19.7646i	1.33152	−	0.768753i	0.345986	−	0.938240i	$-0.387544\pi$
$661$	34.2332	−	19.7646i	1.33152	−	0.768753i	0.985532	+	0.169487i	$0.0542110\pi$
$662$	−1.33518	−	6.06026i	−0.0518933	−	0.235539i
$663$	−6.14036	−	2.46022i	−0.238472	−	0.0955469i
$664$	−1.51919	−	11.9014i	−0.0589559	−	0.461865i
$665$	−16.6836	+	10.2935i	−0.646964	+	0.399164i
$666$	−11.9761	+	6.57209i	−0.464066	+	0.254663i
$667$	−1.27633			−0.0494196
$668$	10.1119	+	21.8345i	0.391240	+	0.844801i
$669$	5.75357	+	40.0963i	0.222446	+	1.55021i
$670$	−15.1484	+	14.6791i	−0.585233	+	0.567102i
$671$	−5.36001	−	9.28381i	−0.206921	−	0.358398i
$672$	−13.8460	+	11.7380i	−0.534120	+	0.452802i
$673$	−13.7903	−	7.96182i	−0.531576	−	0.306905i	0.210082	−	0.977684i	$-0.432627\pi$
$673$	−13.7903	−	7.96182i	−0.531576	−	0.306905i	−0.741658	+	0.670778i	$0.765960\pi$
$674$	14.8008	+	4.68804i	0.570105	+	0.180577i
$675$	21.9956	+	13.8272i	0.846612	+	0.532210i
$676$	−47.0870	−	33.1553i	−1.81104	−	1.27520i
$677$	2.57113	−	4.45333i	0.0988166	−	0.171155i	−0.812379	−	0.583130i	$-0.801828\pi$
$677$	2.57113	−	4.45333i	0.0988166	−	0.171155i	0.911195	+	0.411975i	$0.135161\pi$
$678$	3.60228	+	9.58848i	0.138345	+	0.368243i
$679$	−12.8842	−	22.3161i	−0.494449	−	0.856411i
$680$	0.581132	+	3.69075i	0.0222854	+	0.141534i
$681$	39.8196	−	5.71386i	1.52589	−	0.218956i
$682$	19.3161	−	17.6533i	0.739650	−	0.675980i
$683$	32.5301			1.24473			0.622364	−	0.782728i	$-0.286172\pi$
$683$	32.5301			1.24473			0.622364	+	0.782728i	$0.286172\pi$
$684$	−9.15898	+	26.8754i	−0.350202	+	1.02761i
$685$	−4.56522	−	7.39929i	−0.174428	−	0.282712i
$686$	20.4380	−	18.6787i	0.780327	−	0.713155i
$687$	−12.0535	−	4.82941i	−0.459871	−	0.184254i
$688$	5.61924	−	6.62577i	0.214231	−	0.252605i
$689$	20.6944	+	35.8437i	0.788393	+	1.36554i
$690$	6.00696	−	44.2215i	0.228681	−	1.68348i
$691$	−21.0875	−	12.1749i	−0.802207	−	0.463154i	0.0420353	−	0.999116i	$-0.486616\pi$
$691$	−21.0875	−	12.1749i	−0.802207	−	0.463154i	−0.844242	+	0.535962i	$0.819949\pi$
$692$	17.8160	+	12.5447i	0.677263	+	0.476880i
$693$	−17.7824	+	5.21062i	−0.675499	+	0.197935i
$694$	−1.02169	+	3.22561i	−0.0387828	+	0.122442i
$695$	7.01486	−	0.204986i	0.266089	−	0.00777556i
$696$	−0.546790	−	0.538453i	−0.0207260	−	0.0204100i
$697$	0.950663	−	0.548865i	0.0360089	−	0.0207898i
$698$	6.22899	+	28.2728i	0.235771	+	1.07014i
$699$	−26.6549	+	20.9496i	−1.00818	+	0.792386i
$700$	18.5170	+	0.582844i	0.699878	+	0.0220294i
$701$			29.3780i			1.10959i	0.831987	+	0.554796i	$0.187204\pi$
$701$			29.3780i			1.10959i	−0.831987	+	0.554796i	$0.812796\pi$
$702$	5.72566	+	47.1605i	0.216101	+	1.77996i
$703$			15.2373i			0.574685i
$704$	−19.0082	+	18.7110i	−0.716397	+	0.705198i
$705$	12.8350	−	34.9592i	0.483395	−	1.31664i
$706$	7.81261	+	35.4607i	0.294031	+	1.33458i
$707$	13.3355	+	23.0977i	0.501532	+	0.868679i
$708$	3.04223	−	5.97468i	0.114334	−	0.224542i
$709$	12.2117	+	7.05045i	0.458622	+	0.264785i	0.711464	−	0.702722i	$-0.248032\pi$
$709$	12.2117	+	7.05045i	0.458622	+	0.264785i	−0.252843	+	0.967507i	$0.581366\pi$
$710$	−1.69594	−	6.75254i	−0.0636476	−	0.253418i
$711$	−2.61823	−	2.49927i	−0.0981912	−	0.0937298i
$712$	27.7271	−	21.1028i	1.03912	−	0.790859i
$713$	39.1610	+	22.6096i	1.46659	+	0.846737i
$714$	2.07127	+	1.70193i	0.0775152	+	0.0636930i
$715$	−22.8688	+	42.4254i	−0.855243	+	1.58662i
$716$	−0.724156	−	0.0652720i	−0.0270630	−	0.00243933i
$717$	3.22486	−	8.04880i	0.120435	−	0.300588i
$718$	13.2151	+	14.4598i	0.493183	+	0.539635i
$719$	45.4953			1.69669			0.848345	−	0.529444i	$-0.177600\pi$
$719$	45.4953			1.69669			0.848345	+	0.529444i	$0.177600\pi$
$720$	21.2294	−	16.4107i	0.791175	−	0.611590i
$721$	15.2069			0.566333
$722$	3.23787	+	3.54284i	0.120501	+	0.131851i
$723$	−19.6486	+	2.81944i	−0.730738	+	0.104856i
$724$	6.11483	+	0.551162i	0.227256	+	0.0204838i
$725$	0.0457355	+	0.781893i	0.00169857	+	0.0290388i
$726$	−0.265584	+	0.0997767i	−0.00985674	+	0.00370306i
$727$	13.8164	+	7.97688i	0.512420	+	0.295846i	0.733828	−	0.679335i	$-0.237732\pi$
$727$	13.8164	+	7.97688i	0.512420	+	0.295846i	−0.221408	+	0.975181i	$0.571065\pi$
$728$	20.5163	+	26.9565i	0.760384	+	0.999076i
$729$	17.7154	−	20.3756i	0.656125	−	0.754653i
$730$	−46.9156	+	11.7832i	−1.73643	+	0.436114i
$731$	−1.11117	−	0.641533i	−0.0410980	−	0.0237280i
$732$	11.1228	−	0.585915i	0.411110	−	0.0216561i
$733$	17.2293	+	29.8421i	0.636380	+	1.10224i	0.986221	+	0.165434i	$0.0529023\pi$
$733$	17.2293	+	29.8421i	0.636380	+	1.10224i	−0.349841	+	0.936809i	$0.613764\pi$
$734$	−5.67075	−	25.7390i	−0.209311	−	0.950043i
$735$	−10.6100	+	8.85240i	−0.391357	+	0.326526i
$736$	−40.7428	−	21.5505i	−1.50180	−	0.794362i
$737$			22.2395i			0.819204i
$738$	−6.74032	−	4.08909i	−0.248114	−	0.150521i
$739$		−	16.8961i		−	0.621532i	−0.950487	−	0.310766i	$-0.899415\pi$
$739$		−	16.8961i		−	0.621532i	0.950487	−	0.310766i	$-0.100585\pi$
$740$	7.94293	−	12.0111i	0.291988	−	0.441536i
$741$	49.1875	+	19.7076i	1.80695	+	0.723978i
$742$	−3.60896	−	16.3807i	−0.132489	−	0.601354i
$743$	−17.4220	+	10.0586i	−0.639152	+	0.369015i	−0.784288	−	0.620397i	$-0.786971\pi$
$743$	−17.4220	+	10.0586i	−0.639152	+	0.369015i	0.145136	+	0.989412i	$0.453638\pi$
$744$	7.23845	+	26.2073i	0.265374	+	0.960805i
$745$	16.1877	−	0.473031i	0.593071	−	0.0173305i
$746$	−9.28381	+	29.3102i	−0.339904	+	1.07312i
$747$	9.20519	+	8.78694i	0.336800	+	0.321497i
$748$	3.22083	+	2.26787i	0.117765	+	0.0829217i
$749$	−28.0175	−	16.1759i	−1.02374	−	0.591055i
$750$	−27.3059	−	2.09531i	−0.997069	−	0.0765100i
$751$	−4.26382	−	7.38515i	−0.155589	−	0.269488i	0.777684	−	0.628655i	$-0.216394\pi$
$751$	−4.26382	−	7.38515i	−0.155589	−	0.269488i	−0.933273	+	0.359167i	$0.883061\pi$
$752$	−29.3335	−	24.8774i	−1.06968	−	0.907186i
$753$	−7.08955	+	5.57209i	−0.258358	+	0.203058i
$754$	−1.05717	+	0.966169i	−0.0384999	+	0.0351858i
$755$	25.7940	−	15.9144i	0.938738	−	0.579184i
$756$	3.55910	−	18.9212i	0.129443	−	0.688156i
$757$	30.3158			1.10185			0.550924	−	0.834556i	$-0.314276\pi$
$757$	30.3158			1.10185			0.550924	+	0.834556i	$0.314276\pi$
$758$	−27.6726	+	25.2905i	−1.00511	+	0.918593i
$759$	−29.0751	−	36.9932i	−1.05536	−	1.34277i
$760$	−4.65517	−	29.5649i	−0.168861	−	1.07243i
$761$	−20.0870	−	34.7918i	−0.728154	−	1.26120i	−0.957662	−	0.287894i	$-0.907045\pi$
$761$	−20.0870	−	34.7918i	−0.728154	−	1.26120i	0.229508	−	0.973307i	$-0.426288\pi$
$762$	2.86121	+	0.474152i	0.103651	+	0.0171767i
$763$	14.9218	−	25.8453i	0.540206	−	0.935664i
$764$	−29.7741	−	20.9648i	−1.07719	−	0.758479i
$765$	−2.94523	−	2.65139i	−0.106485	−	0.0958613i
$766$	14.2825	+	4.52387i	0.516047	+	0.163454i
$767$	−10.8361	−	6.25623i	−0.391269	−	0.225899i
$768$	−8.36293	−	26.4209i	−0.301771	−	0.953380i
$769$	−18.9297	−	32.7872i	−0.682623	−	1.18234i	−0.974177	−	0.225784i	$-0.927506\pi$
$769$	−18.9297	−	32.7872i	−0.682623	−	1.18234i	0.291554	−	0.956554i	$-0.405828\pi$
$770$	14.0271	−	13.5925i	0.505502	−	0.489841i
$771$	−16.0345	−	6.42443i	−0.577468	−	0.231370i
$772$	19.0317	+	41.0949i	0.684964	+	1.47904i
$773$	−11.8902			−0.427662			−0.213831	−	0.976871i	$-0.568594\pi$
$773$	−11.8902			−0.427662			−0.213831	+	0.976871i	$0.568594\pi$
$774$	−0.199982	+	9.21256i	−0.00718820	+	0.331139i
$775$	12.4476	−	24.8007i	0.447132	−	0.890866i
$776$	39.0244	−	4.98136i	1.40089	−	0.178820i
$777$	−1.46756	−	10.2274i	−0.0526486	−	0.366905i
$778$	10.1400	+	46.0243i	0.363535	+	1.65005i
$779$	−7.61531	+	4.39670i	−0.272847	+	0.157528i
$780$	−28.4998	−	41.1755i	−1.02046	−	1.47432i
$781$	−6.35699	−	3.67021i	−0.227471	−	0.131330i
$782$	−2.05545	+	6.48934i	−0.0735028	+	0.232058i
$783$	0.810206	+	0.0780495i	0.0289544	+	0.00278926i
$784$	4.81054	+	13.4360i	0.171805	+	0.479857i
$785$	−0.208066	−	7.12028i	−0.00742620	−	0.254134i
$786$	−6.12431	−	16.3016i	−0.218447	−	0.581458i
$787$	−3.21964	−	5.57658i	−0.114768	−	0.198784i	0.802919	−	0.596088i	$-0.203279\pi$
$787$	−3.21964	−	5.57658i	−0.114768	−	0.198784i	−0.917687	+	0.397304i	$0.869946\pi$
$788$	2.19176	−	24.3164i	0.0780784	−	0.866235i
$789$	−2.90776	−	20.2641i	−0.103519	−	0.721419i
$790$	3.66939	+	1.04535i	0.130551	+	0.0371919i
$791$	−7.74694			−0.275450
$792$	3.15055	−	28.1143i	0.111950	−	0.998998i
$793$		−	20.7866i		−	0.738155i
$794$	19.2352	+	21.0469i	0.682630	+	0.746927i
$795$	4.23730	+	24.4306i	0.150281	+	0.866462i
$796$	2.68103	−	29.7445i	0.0950265	−	1.05426i
$797$	15.1379	+	26.2197i	0.536213	+	0.928748i	0.999104	+	0.0423326i	$0.0134789\pi$
$797$	15.1379	+	26.2197i	0.536213	+	0.928748i	−0.462891	+	0.886415i	$0.653188\pi$
$798$	−16.5919	−	13.6333i	−0.587348	−	0.482614i
$799$	−2.84019	+	4.91935i	−0.100479	+	0.174034i
$800$	−11.7421	+	25.7317i	−0.415146	+	0.909755i
$801$	−8.73318	+	35.9112i	−0.308572	+	1.26886i
$802$	1.65425	−	5.22268i	0.0584135	−	0.184419i
$803$	−25.5001	+	44.1674i	−0.899878	+	1.55863i
$804$	−20.5914	−	10.4849i	−0.726202	−	0.369773i
$805$	29.7116	+	16.0156i	1.04720	+	0.564475i
$806$	49.5520	−	10.9172i	1.74540	−	0.384541i
$807$	−22.0336	+	17.3174i	−0.775618	+	0.609603i
$808$	−40.3913	+	5.15584i	−1.42096	+	0.181382i
$809$	3.79502			0.133426			0.0667130	−	0.997772i	$-0.478749\pi$
$809$	3.79502			0.133426			0.0667130	+	0.997772i	$0.478749\pi$
$810$	−6.51739	+	27.7042i	−0.228998	+	0.973427i
$811$		−	25.9465i		−	0.911105i	−0.890209	−	0.455552i	$-0.849442\pi$
$811$		−	25.9465i		−	0.911105i	0.890209	−	0.455552i	$-0.150558\pi$
$812$	0.526673	−	0.243910i	0.0184826	−	0.00855956i
$813$	−21.5230	−	27.3845i	−0.754846	−	0.960416i
$814$	−3.26653	−	14.8264i	−0.114492	−	0.519666i
$815$	28.4186	+	15.3186i	0.995461	+	0.536588i
$816$	−3.61827	+	1.91294i	−0.126665	+	0.0669663i
$817$	8.90104	+	5.13902i	0.311408	+	0.179791i
$818$	12.8623	−	40.6079i	0.449718	−	1.41982i
$819$	−34.9132	−	8.49048i	−1.21997	−	0.296681i
$820$	8.29484	+	0.503942i	0.289668	+	0.0175984i
$821$	39.0578	+	22.5500i	1.36313	+	0.787002i	0.990039	−	0.140794i	$-0.0449654\pi$
$821$	39.0578	+	22.5500i	1.36313	+	0.787002i	0.373089	+	0.927796i	$0.378299\pi$
$822$	6.04645	−	7.35861i	0.210894	−	0.256661i
$823$	36.8115	−	21.2532i	1.28317	−	0.740838i	0.305743	−	0.952114i	$-0.401095\pi$
$823$	36.8115	−	21.2532i	1.28317	−	0.740838i	0.977427	+	0.211276i	$0.0677617\pi$
$824$	−8.96902	+	21.4142i	−0.312450	+	0.745997i
$825$	−21.6206	+	19.1373i	−0.752732	+	0.666276i
$826$	3.42094	+	3.74315i	0.119030	+	0.130241i
$827$	26.0006			0.904131			0.452065	−	0.891985i	$-0.350687\pi$
$827$	26.0006			0.904131			0.452065	+	0.891985i	$0.350687\pi$
$828$	47.9592	−	9.47984i	1.66670	−	0.329447i
$829$			31.5003i			1.09405i	0.837116	+	0.547025i	$0.184240\pi$
$829$			31.5003i			1.09405i	−0.837116	+	0.547025i	$0.815760\pi$
$830$	−12.9009	−	3.67526i	−0.447796	−	0.127570i
$831$	−4.35206	+	0.624493i	−0.150971	+	0.0216634i
$832$	−50.0605	+	12.9919i	−1.73553	+	0.450412i
$833$	1.82530	−	1.05384i	0.0632429	−	0.0365133i
$834$	2.70367	+	7.19657i	0.0936203	+	0.249197i
$835$	26.8910	−	0.785799i	0.930601	−	0.0271937i
$836$	−25.8005	−	18.1669i	−0.892329	−	0.628314i
$837$	−23.4766	−	16.7472i	−0.811469	−	0.578868i
$838$	37.0388	+	11.7318i	1.27949	+	0.405268i
$839$	28.7717	−	49.8341i	0.993310	−	1.72046i	0.396649	−	0.917971i	$-0.370173\pi$
$839$	28.7717	−	49.8341i	0.993310	−	1.72046i	0.596661	−	0.802493i	$-0.296494\pi$
$840$	5.97210	+	19.3958i	0.206057	+	0.669219i
$841$	−14.4877	−	25.0935i	−0.499577	−	0.865293i
$842$	−0.0144758	−	0.0657042i	−0.000498868	−	0.00226432i
$843$	13.1698	−	1.88978i	0.453592	−	0.0650876i
$844$	−5.39570	−	11.6509i	−0.185728	−	0.401040i
$845$	−54.7959	+	33.8081i	−1.88504	+	1.16303i
$846$	40.7857	+	0.885357i	1.40224	+	0.0304392i
$847$		−	0.214576i		−	0.00737293i
$848$	25.1957	+	4.57925i	0.865224	+	0.157252i
$849$	2.51851	−	6.28586i	0.0864351	−	0.215730i
$850$	4.04910	+	1.02666i	0.138883	+	0.0352140i
$851$	22.7205	−	13.1177i	0.778848	−	0.449668i
$852$	6.39523	−	4.15555i	0.219097	−	0.142367i
$853$	−21.6573	+	37.5115i	−0.741532	+	1.28437i	0.210266	+	0.977644i	$0.432567\pi$
$853$	−21.6573	+	37.5115i	−0.741532	+	1.28437i	−0.951798	+	0.306726i	$0.900766\pi$
$854$	−2.54374	+	8.03092i	−0.0870449	+	0.274813i
$855$	23.5929	+	21.2390i	0.806859	+	0.726360i
$856$	39.3036	−	29.9135i	1.34337	−	1.02242i
$857$	46.1891	+	26.6673i	1.57779	+	0.910938i	0.995167	+	0.0981959i	$0.0313072\pi$
$857$	46.1891	+	26.6673i	1.57779	+	0.910938i	0.582624	+	0.812742i	$0.302026\pi$
$858$	−52.0862	−	8.63158i	−1.77819	−	0.294677i
$859$	14.2097	−	8.20399i	0.484830	−	0.279916i	−0.237597	−	0.971364i	$-0.576360\pi$
$859$	14.2097	−	8.20399i	0.484830	−	0.279916i	0.722427	+	0.691447i	$0.243027\pi$
$860$	−4.33754	−	8.69089i	−0.147909	−	0.296357i
$861$	4.68799	−	3.68456i	0.159766	−	0.125570i
$862$	6.66293	+	7.29051i	0.226940	+	0.248316i
$863$		−	29.1271i		−	0.991499i	−0.868466	−	0.495750i	$-0.834893\pi$
$863$		−	29.1271i		−	0.991499i	0.868466	−	0.495750i	$-0.165107\pi$
$864$	24.5454	+	16.1716i	0.835053	+	0.550169i
$865$	20.7328	−	12.7917i	0.704935	−	0.434932i
$866$	14.0734	−	12.8619i	0.478233	−	0.437066i
$867$	−17.8216	−	22.6751i	−0.605254	−	0.770085i
$868$	−20.4804	−	1.84601i	−0.695151	−	0.0626577i
$869$	3.48369	−	2.01131i	0.118176	−	0.0682290i
$870$	−0.794018	+	0.325075i	−0.0269197	+	0.0110211i
$871$	−21.5617	+	37.3460i	−0.730592	+	1.26542i
$872$	27.5943	+	36.2564i	0.934460	+	1.22780i
$873$	−28.8121	+	30.1835i	−0.975141	+	1.02156i
$874$	16.4652	−	51.9830i	0.556945	−	1.75835i
$875$	8.74664	−	18.7755i	0.295691	−	0.634729i
$876$	−28.8722	−	44.4331i	−0.975500	−	1.50126i
$877$	−8.30152	−	14.3786i	−0.280322	−	0.485532i	0.691142	−	0.722719i	$-0.257108\pi$
$877$	−8.30152	−	14.3786i	−0.280322	−	0.485532i	−0.971464	+	0.237187i	$0.923775\pi$
$878$	−6.49164	+	1.43022i	−0.219082	+	0.0482676i
$879$	−0.888054	+	2.21646i	−0.0299533	+	0.0747593i
$880$	10.8677	+	27.7698i	0.366350	+	0.936118i
$881$	22.4187			0.755305			0.377652	−	0.925947i	$-0.376731\pi$
$881$	22.4187			0.755305			0.377652	+	0.925947i	$0.376731\pi$
$882$	−12.9416	−	7.85116i	−0.435766	−	0.264362i
$883$	−1.09932			−0.0369951			−0.0184976	−	0.999829i	$-0.505888\pi$
$883$	−1.09932			−0.0369951			−0.0184976	+	0.999829i	$0.505888\pi$
$884$	3.20986	+	6.93102i	0.107959	+	0.233116i
$885$	−4.80224	−	5.75573i	−0.161426	−	0.193477i
$886$	−11.3378	+	2.49791i	−0.380900	+	0.0839189i
$887$	−2.99508	+	1.72921i	−0.100565	+	0.0580612i	−0.549439	−	0.835534i	$-0.685159\pi$
$887$	−2.99508	+	1.72921i	−0.100565	+	0.0580612i	0.448874	+	0.893595i	$0.351825\pi$
$888$	15.2677	+	3.96551i	0.512350	+	0.133074i
$889$	−1.09676	+	1.89965i	−0.0367843	+	0.0637123i
$890$	−9.48957	−	37.7835i	−0.318091	−	1.26651i
$891$	16.1945	+	25.2610i	0.542536	+	0.846277i
$892$	26.9287	−	38.2440i	0.901639	−	1.28050i
$893$	22.7514	−	39.4065i	0.761346	−	1.31869i
$894$	6.23905	+	16.6070i	0.208665	+	0.555421i
$895$	−0.385720	+	0.715575i	−0.0128932	+	0.0239191i
$896$	20.9308	+	1.10668i	0.699248	+	0.0369714i
$897$	−12.9589	−	90.3103i	−0.432687	−	3.01537i
$898$	33.5715	+	36.7336i	1.12029	+	1.22581i
$899$		−	0.869359i		−	0.0289947i
$900$	−7.52601	−	29.0406i	−0.250867	−	0.968022i
$901$		−	3.78204i		−	0.125998i
$902$	6.46743	−	5.91070i	0.215342	−	0.196805i
$903$	−6.46941	−	2.59206i	−0.215289	−	0.0862582i
$904$	4.56915	−	10.9092i	0.151968	−	0.362834i
$905$	3.25705	−	6.04238i	0.108268	−	0.200855i
$906$	25.6522	+	21.0780i	0.852236	+	0.700269i
$907$	16.7205	−	28.9607i	0.555194	−	0.961625i	−0.442694	−	0.896673i	$-0.645977\pi$
$907$	16.7205	−	28.9607i	0.555194	−	0.961625i	0.997888	−	0.0649519i	$-0.0206894\pi$
$908$	−37.9801	−	26.7429i	−1.26041	−	0.887493i
$909$	29.8213	−	31.2407i	0.989109	−	1.03619i
$910$	36.7335	−	9.22584i	1.21770	−	0.305834i
$911$	4.97939	−	8.62456i	0.164975	−	0.285745i	−0.771672	−	0.636021i	$-0.780579\pi$
$911$	4.97939	−	8.62456i	0.164975	−	0.285745i	0.936646	+	0.350277i	$0.113912\pi$
$912$	28.9843	−	15.3237i	0.959764	−	0.507417i
$913$	−12.2480	+	7.07139i	−0.405350	+	0.234029i
$914$	10.7638	+	48.8559i	0.356036	+	1.61601i
$915$	4.29188	−	11.6899i	0.141885	−	0.386457i
$916$	6.30096	+	13.6056i	0.208190	+	0.449542i
$917$	13.1707			0.434936
$918$	1.70162	−	3.99370i	0.0561619	−	0.131812i
$919$	−26.5683			−0.876408			−0.438204	−	0.898875i	$-0.644385\pi$
$919$	−26.5683			−0.876408			−0.438204	+	0.898875i	$0.644385\pi$
$920$	−40.0769	+	32.3936i	−1.32130	+	1.06798i
$921$	29.3228	+	37.3084i	0.966221	+	1.22936i
$922$	−4.81362	−	21.8486i	−0.158528	−	0.719544i
$923$	−7.11671	−	12.3265i	−0.234249	−	0.405732i
$924$	19.0672	+	9.70880i	0.627266	+	0.319396i
$925$	−8.85019	−	13.4488i	−0.290993	−	0.442193i
$926$	8.60044	+	2.72413i	0.282628	+	0.0895204i
$927$	−6.92445	−	23.6313i	−0.227429	−	0.776153i
$928$	0.0328397	+	0.885515i	0.00107801	+	0.0290684i
$929$	−29.4711	+	51.0454i	−0.966915	+	1.67475i	−0.262537	+	0.964922i	$0.584559\pi$
$929$	−29.4711	+	51.0454i	−0.966915	+	1.67475i	−0.704378	+	0.709825i	$0.748774\pi$
$930$	30.1211	+	4.09158i	0.987709	+	0.134168i
$931$	−14.6216	+	8.44179i	−0.479204	+	0.276668i
$932$	38.9890	+	3.51428i	1.27713	+	0.115114i
$933$	2.92706	−	7.30554i	0.0958276	−	0.239173i
$934$	23.8180	+	26.0614i	0.779348	+	0.852754i
$935$	3.74813	−	2.31252i	0.122577	−	0.0756276i
$936$	32.5480	−	44.1568i	1.06387	−	1.44331i
$937$			35.6730i			1.16538i	0.812693	+	0.582692i	$0.198001\pi$
$937$			35.6730i			1.16538i	−0.812693	+	0.582692i	$0.801999\pi$
$938$	12.9006	−	11.7901i	0.421218	−	0.384959i
$939$	−4.48084	−	31.2268i	−0.146227	−	1.01905i
$940$	−38.4762	+	19.2031i	−1.25495	+	0.626336i
$941$	18.8543	−	10.8855i	0.614632	−	0.354858i	−0.160144	−	0.987094i	$-0.551196\pi$
$941$	18.8543	−	10.8855i	0.614632	−	0.354858i	0.774776	+	0.632236i	$0.217863\pi$
$942$	7.30471	−	2.74429i	0.238000	−	0.0894139i
$943$	13.1119	+	7.57018i	0.426983	+	0.246519i
$944$	−7.28875	+	2.60962i	−0.237228	+	0.0849358i
$945$	−17.8814	−	11.9835i	−0.581680	−	0.389823i
$946$	−9.76273	−	3.09228i	−0.317414	−	0.100539i
$947$	16.9667	−	29.3872i	0.551344	−	0.954955i	−0.446834	−	0.894617i	$-0.647449\pi$
$947$	16.9667	−	29.3872i	0.551344	−	0.954955i	0.998178	−	0.0603385i	$-0.0192180\pi$
$948$	0.219861	+	4.17376i	0.00714075	+	0.135557i
$949$	−85.6426	+	49.4458i	−2.78008	+	1.60508i
$950$	−32.4354	−	8.22406i	−1.05234	−	0.266824i
$951$	13.5130	−	1.93903i	0.438189	−	0.0628773i
$952$	−0.391955	−	3.07061i	−0.0127033	−	0.0995190i
$953$			29.8028i			0.965408i	0.875783	+	0.482704i	$0.160345\pi$
$953$			29.8028i			0.965408i	−0.875783	+	0.482704i	$0.839655\pi$
$954$	−23.8121	+	13.0672i	−0.770945	+	0.423067i
$955$	−34.6486	+	21.3775i	−1.12120	+	0.691760i
$956$	−9.08520	+	4.20749i	−0.293836	+	0.136080i
$957$	−0.336435	+	0.839696i	−0.0108754	+	0.0271435i
$958$	3.82760	−	0.843288i	0.123664	−	0.0272454i
$959$	3.60168	+	6.23829i	0.116304	+	0.201445i
$960$	−30.8354	−	3.02981i	−0.995207	−	0.0977866i
$961$	0.0996707	−	0.172635i	0.00321518	−	0.00556886i
$962$	8.88922	−	28.0645i	0.286600	−	0.904835i
$963$	−12.3794	+	50.9046i	−0.398921	+	1.64038i
$964$	18.7409	+	13.1960i	0.603602	+	0.425013i
$965$	50.6118	−	1.47896i	1.62925	−	0.0476094i
$966$	−6.04491	+	36.4773i	−0.194492	+	1.17364i
$967$	−8.50028	+	4.90764i	−0.273351	+	0.157819i	−0.630409	−	0.776263i	$-0.717113\pi$
$967$	−8.50028	+	4.90764i	−0.273351	+	0.157819i	0.357059	+	0.934082i	$0.383780\pi$
$968$	0.302165	+	0.126557i	0.00971194	+	0.00406771i
$969$	−2.99208	−	3.80692i	−0.0961195	−	0.122296i
$970$	12.0510	−	42.3015i	0.386935	−	1.35822i
$971$		−	16.8674i		−	0.541300i	−0.962678	−	0.270650i	$-0.912761\pi$
$971$		−	16.8674i		−	0.541300i	0.962678	−	0.270650i	$-0.0872386\pi$
$972$	−31.0239	+	3.08496i	−0.995092	+	0.0989503i
$973$	−5.81441			−0.186402
$974$	−21.7705	+	19.8964i	−0.697570	+	0.637523i
$975$	−54.8607	+	11.1749i	−1.75695	+	0.357884i
$976$	−9.80878	−	8.31872i	−0.313971	−	0.266276i
$977$	−24.3616	+	14.0652i	−0.779396	+	0.449984i	−0.836216	−	0.548400i	$-0.815237\pi$
$977$	−24.3616	+	14.0652i	−0.779396	+	0.449984i	0.0568205	+	0.998384i	$0.481904\pi$
$978$	−5.78186	+	34.8899i	−0.184883	+	1.11566i
$979$	−35.5703	−	20.5365i	−1.13683	−	0.656349i
$980$	15.9263	+	0.967582i	0.508748	+	0.0309083i
$981$	−46.9580	−	11.4196i	−1.49925	−	0.364601i
$982$	50.7006	+	16.0591i	1.61792	+	0.512465i
$983$	−15.1286	−	8.73451i	−0.482528	−	0.278588i	0.238941	−	0.971034i	$-0.423200\pi$
$983$	−15.1286	−	8.73451i	−0.482528	−	0.278588i	−0.721469	+	0.692446i	$0.756533\pi$
$984$	2.42359	+	8.77475i	0.0772611	+	0.279729i
$985$	−24.0283	−	12.9521i	−0.765604	−	0.412687i
$986$	0.127804	−	0.0281575i	0.00407011	−	0.000896717i
$987$	−11.4755	+	28.6413i	−0.365269	+	0.911662i
$988$	−25.7126	−	55.5211i	−0.818028	−	1.76636i
$989$		−	17.6966i		−	0.562719i
$990$	−27.5099	−	15.6086i	−0.874323	−	0.496074i
$991$	−55.1709			−1.75256			−0.876280	−	0.481801i	$-0.839983\pi$
$991$	−55.1709			−1.75256			−0.876280	+	0.481801i	$0.839983\pi$
$992$	14.6789	−	27.7516i	0.466056	−	0.881114i
$993$	−1.07953	−	7.52322i	−0.0342580	−	0.238742i
$994$	1.24110	+	5.63325i	0.0393654	+	0.178676i
$995$	−29.3920	−	15.8433i	−0.931790	−	0.502267i
$996$	−0.772989	−	14.6741i	−0.0244931	−	0.464968i
$997$	12.3131	−	21.3268i	0.389959	−	0.675428i	−0.602485	−	0.798130i	$-0.705823\pi$
$997$	12.3131	−	21.3268i	0.389959	−	0.675428i	0.992444	+	0.122702i	$0.0391560\pi$
$998$	−41.2099	−	13.0529i	−1.30448	−	0.413184i
$999$	−15.2250	+	6.93763i	−0.481697	+	0.219497i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bk.a.349.18	yes	136
5.4	even	2	inner	360.2.bk.a.349.51	yes	136
8.5	even	2	inner	360.2.bk.a.349.5	yes	136
9.4	even	3	inner	360.2.bk.a.229.64	yes	136
40.29	even	2	inner	360.2.bk.a.349.64	yes	136
45.4	even	6	inner	360.2.bk.a.229.5	✓	136
72.13	even	6	inner	360.2.bk.a.229.51	yes	136
360.229	even	6	inner	360.2.bk.a.229.18	yes	136

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bk.a.229.5	✓	136	45.4	even	6	inner
360.2.bk.a.229.18	yes	136	360.229	even	6	inner
360.2.bk.a.229.51	yes	136	72.13	even	6	inner
360.2.bk.a.229.64	yes	136	9.4	even	3	inner
360.2.bk.a.349.5	yes	136	8.5	even	2	inner
360.2.bk.a.349.18	yes	136	1.1	even	1	trivial
360.2.bk.a.349.51	yes	136	5.4	even	2	inner
360.2.bk.a.349.64	yes	136	40.29	even	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bk (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.954059 - 1.04392i) q^{2} +(-1.07030 - 1.36178i) q^{3} +(-0.179543 + 1.99192i) q^{4} +(1.96832 + 1.06099i) q^{5} +(-0.400461 + 2.41653i) q^{6} +(-1.60442 - 0.926310i) q^{7} +(2.25071 - 1.71299i) q^{8} +(-0.708903 + 2.91504i) q^{9} +O(q^{10})\)	\(q+(-0.954059 - 1.04392i) q^{2} +(-1.07030 - 1.36178i) q^{3} +(-0.179543 + 1.99192i) q^{4} +(1.96832 + 1.06099i) q^{5} +(-0.400461 + 2.41653i) q^{6} +(-1.60442 - 0.926310i) q^{7} +(2.25071 - 1.71299i) q^{8} +(-0.708903 + 2.91504i) q^{9} +(-0.770302 - 3.06702i) q^{10} +(-2.88736 - 1.66702i) q^{11} +(2.90473 - 1.88746i) q^{12} +(-3.23243 - 5.59873i) q^{13} +(0.563713 + 2.55864i) q^{14} +(-0.661859 - 3.81601i) q^{15} +(-3.93553 - 0.715271i) q^{16} +0.590749i q^{17} +(3.71941 - 2.04108i) q^{18} -4.73221i q^{19} +(-2.46682 + 3.73026i) q^{20} +(0.455778 + 3.17630i) q^{21} +(1.01448 + 4.60462i) q^{22} +(-7.05625 + 4.07393i) q^{23} +(-4.74165 - 1.23156i) q^{24} +(2.74859 + 4.17675i) q^{25} +(-2.76071 + 8.71592i) q^{26} +(4.72839 - 2.15460i) q^{27} +(2.13320 - 3.02956i) q^{28} +(0.135659 + 0.0783230i) q^{29} +(-3.35216 + 4.33163i) q^{30} +(-2.77492 - 4.80630i) q^{31} +(3.00804 + 4.79079i) q^{32} +(0.820235 + 5.71618i) q^{33} +(0.616695 - 0.563609i) q^{34} +(-2.17520 - 3.52555i) q^{35} +(-5.67926 - 1.93546i) q^{36} -3.21991 q^{37} +(-4.94005 + 4.51480i) q^{38} +(-4.16458 + 10.3942i) q^{39} +(6.24758 - 0.983722i) q^{40} +(-0.929101 - 1.60925i) q^{41} +(2.88096 - 3.50617i) q^{42} +(-1.08597 + 1.88095i) q^{43} +(3.83898 - 5.45211i) q^{44} +(-4.48819 + 4.98560i) q^{45} +(10.9849 + 3.47940i) q^{46} +(8.32731 + 4.80777i) q^{47} +(3.23816 + 6.12489i) q^{48} +(-1.78390 - 3.08981i) q^{49} +(1.73789 - 6.85418i) q^{50} +(0.804471 - 0.632280i) q^{51} +(11.7326 - 5.43354i) q^{52} -6.40212 q^{53} +(-6.76040 - 2.88045i) q^{54} +(-3.91456 - 6.34471i) q^{55} +(-5.19782 + 0.663489i) q^{56} +(-6.44424 + 5.06489i) q^{57} +(-0.0476640 - 0.216342i) q^{58} +(1.67616 - 0.967729i) q^{59} +(7.72004 - 0.633235i) q^{60} +(2.78455 + 1.60766i) q^{61} +(-2.36996 + 7.48229i) q^{62} +(3.83760 - 4.02027i) q^{63} +(2.13136 - 7.71086i) q^{64} +(-0.422244 - 14.4497i) q^{65} +(5.18469 - 6.30983i) q^{66} +(-3.33522 - 5.77678i) q^{67} +(-1.17673 - 0.106065i) q^{68} +(13.1001 + 5.24874i) q^{69} +(-1.60513 + 5.63432i) q^{70} +2.20166 q^{71} +(3.39789 + 7.77524i) q^{72} -15.2968i q^{73} +(3.07198 + 3.36133i) q^{74} +(2.74601 - 8.21337i) q^{75} +(9.42620 + 0.849633i) q^{76} +(3.08835 + 5.34919i) q^{77} +(14.8240 - 5.56919i) q^{78} +(-0.603265 + 1.04489i) q^{79} +(-6.98749 - 5.58346i) q^{80} +(-7.99491 - 4.13296i) q^{81} +(-0.793513 + 2.50523i) q^{82} +(2.12097 - 3.67362i) q^{83} +(-6.40878 + 0.337595i) q^{84} +(-0.626781 + 1.16278i) q^{85} +(2.99964 - 0.660873i) q^{86} +(-0.0385378 - 0.268568i) q^{87} +(-9.35419 + 1.19404i) q^{88} +12.3193 q^{89} +(9.48657 - 0.0712379i) q^{90} +11.9769i q^{91} +(-6.84806 - 14.7870i) q^{92} +(-3.57513 + 8.92303i) q^{93} +(-2.92581 - 13.2800i) q^{94} +(5.02084 - 9.31451i) q^{95} +(3.30450 - 9.22390i) q^{96} +(12.0457 + 6.95457i) q^{97} +(-1.52357 + 4.81011i) q^{98} +(6.90629 - 7.23502i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 136 q - 2 q^{4} - 8 q^{9}+O(q^{10}) \) 136 * q - 2 * q^4 - 8 * q^9	\( 136 q - 2 q^{4} - 8 q^{9} - 10 q^{14} + 2 q^{15} - 2 q^{16} - 2 q^{20} - 38 q^{24} - 2 q^{25} + 16 q^{26} - 12 q^{30} - 4 q^{31} + 8 q^{34} - 24 q^{36} + 4 q^{39} - 6 q^{40} - 4 q^{41} - 56 q^{44} - 28 q^{46} + 40 q^{49} - 12 q^{50} + 10 q^{54} - 28 q^{55} + 26 q^{56} - 58 q^{60} - 20 q^{64} + 18 q^{65} + 16 q^{66} - 6 q^{70} - 128 q^{71} + 36 q^{74} + 12 q^{76} - 4 q^{79} - 36 q^{80} - 16 q^{81} - 110 q^{84} + 44 q^{86} - 32 q^{89} + 32 q^{90} - 34 q^{94} + 8 q^{95} - 2 q^{96}+O(q^{100}) \) 136 * q - 2 * q^4 - 8 * q^9 - 10 * q^14 + 2 * q^15 - 2 * q^16 - 2 * q^20 - 38 * q^24 - 2 * q^25 + 16 * q^26 - 12 * q^30 - 4 * q^31 + 8 * q^34 - 24 * q^36 + 4 * q^39 - 6 * q^40 - 4 * q^41 - 56 * q^44 - 28 * q^46 + 40 * q^49 - 12 * q^50 + 10 * q^54 - 28 * q^55 + 26 * q^56 - 58 * q^60 - 20 * q^64 + 18 * q^65 + 16 * q^66 - 6 * q^70 - 128 * q^71 + 36 * q^74 + 12 * q^76 - 4 * q^79 - 36 * q^80 - 16 * q^81 - 110 * q^84 + 44 * q^86 - 32 * q^89 + 32 * q^90 - 34 * q^94 + 8 * q^95 - 2 * q^96

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