LMFDB - Embedded newform 276.2.o.a.35.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [276,2,Mod(35,276)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(276, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 20]))

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

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

chi := DirichletCharacter("276.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 276 = 2^{2} \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	276.o (of order $22$, degree $10$, 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:	$2.20387109579$
Analytic rank:	$0$
Dimension:	$440$
Relative dimension:	$44$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			35.20
Character	$\chi$	$=$	276.35
Dual form			276.2.o.a.71.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.306189 - 1.38067i) q^{2} +(-1.60391 + 0.653824i) q^{3} +(-1.81250 + 0.845492i) q^{4} +(0.250263 + 0.852318i) q^{5} +(1.39381 + 2.01427i) q^{6} +(1.73353 - 1.50211i) q^{7} +(1.72231 + 2.24358i) q^{8} +(2.14503 - 2.09735i) q^{9} +O(q^{10})$	\(q+(-0.306189 - 1.38067i) q^{2} +(-1.60391 + 0.653824i) q^{3} +(-1.81250 + 0.845492i) q^{4} +(0.250263 + 0.852318i) q^{5} +(1.39381 + 2.01427i) q^{6} +(1.73353 - 1.50211i) q^{7} +(1.72231 + 2.24358i) q^{8} +(2.14503 - 2.09735i) q^{9} +(1.10014 - 0.606501i) q^{10} +(-3.94293 - 2.53397i) q^{11} +(2.35427 - 2.54114i) q^{12} +(4.32888 - 4.99580i) q^{13} +(-2.60471 - 1.93350i) q^{14} +(-0.958664 - 1.20341i) q^{15} +(2.57029 - 3.06490i) q^{16} +(-3.69390 + 1.68695i) q^{17} +(-3.55253 - 2.31939i) q^{18} +(-3.94170 - 1.80011i) q^{19} +(-1.17423 - 1.33323i) q^{20} +(-1.79830 + 3.54267i) q^{21} +(-2.29129 + 6.21976i) q^{22} +(3.68990 - 3.06344i) q^{23} +(-4.22933 - 2.47240i) q^{24} +(3.54245 - 2.27660i) q^{25} +(-8.22301 - 4.44710i) q^{26} +(-2.06913 + 4.76642i) q^{27} +(-1.87199 + 4.18826i) q^{28} +(5.83444 - 2.66450i) q^{29} +(-1.36798 + 1.69207i) q^{30} +(5.38279 - 0.773929i) q^{31} +(-5.01861 - 2.61028i) q^{32} +(7.98087 + 1.48626i) q^{33} +(3.46015 + 4.58353i) q^{34} +(1.71411 + 1.10159i) q^{35} +(-2.11457 + 5.61503i) q^{36} +(-8.50962 - 2.49865i) q^{37} +(-1.27846 + 5.99336i) q^{38} +(-3.67675 + 10.8431i) q^{39} +(-1.48121 + 2.02944i) q^{40} +(-0.885944 - 3.01725i) q^{41} +(5.44187 + 1.39813i) q^{42} +(4.37045 + 0.628375i) q^{43} +(9.28901 + 1.25909i) q^{44} +(2.32443 + 1.30336i) q^{45} +(-5.35940 - 4.15654i) q^{46} +2.31745 q^{47} +(-2.11859 + 6.59633i) q^{48} +(-0.247420 + 1.72084i) q^{49} +(-4.22789 - 4.19389i) q^{50} +(4.82169 - 5.12086i) q^{51} +(-3.62218 + 12.7149i) q^{52} +(-6.44542 + 5.58499i) q^{53} +(7.21439 + 1.39735i) q^{54} +(1.17298 - 3.99479i) q^{55} +(6.35578 + 1.30220i) q^{56} +(7.49908 + 0.310033i) q^{57} +(-5.46523 - 7.23959i) q^{58} +(-0.264424 + 0.305161i) q^{59} +(2.75505 + 1.37063i) q^{60} +(-0.544015 - 3.78371i) q^{61} +(-2.71669 - 7.19489i) q^{62} +(0.568020 - 6.85788i) q^{63} +(-2.06729 + 7.72828i) q^{64} +(5.34137 + 2.43932i) q^{65} +(-0.391618 - 11.4740i) q^{66} +(-1.39761 - 2.17473i) q^{67} +(5.26888 - 6.18074i) q^{68} +(-3.91530 + 7.32601i) q^{69} +(0.996095 - 2.70392i) q^{70} +(2.91111 - 1.87085i) q^{71} +(8.39996 + 1.20025i) q^{72} +(-4.87452 + 10.6737i) q^{73} +(-0.844257 + 12.5140i) q^{74} +(-4.19327 + 5.96759i) q^{75} +(8.66630 - 0.0699746i) q^{76} +(-10.6415 + 1.53002i) q^{77} +(16.0965 + 1.75633i) q^{78} +(8.85470 + 7.67265i) q^{79} +(3.25552 + 1.42367i) q^{80} +(0.202282 - 8.99773i) q^{81} +(-3.89456 + 2.14704i) q^{82} +(-2.87504 - 0.844189i) q^{83} +(0.264115 - 7.94152i) q^{84} +(-2.36226 - 2.72619i) q^{85} +(-0.470604 - 6.22654i) q^{86} +(-7.61577 + 8.08830i) q^{87} +(-1.10580 - 13.2106i) q^{88} +(8.15231 + 1.17212i) q^{89} +(1.08779 - 3.60834i) q^{90} -15.1628i q^{91} +(-4.09781 + 8.67225i) q^{92} +(-8.12748 + 4.76071i) q^{93} +(-0.709577 - 3.19963i) q^{94} +(0.547807 - 3.81008i) q^{95} +(9.75604 + 0.905349i) q^{96} +(-5.89808 + 1.73183i) q^{97} +(2.45167 - 0.185298i) q^{98} +(-13.7723 + 2.83426i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9}+O(q^{10}) $ 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9	$ 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9} - 30 q^{10} - 18 q^{12} - 36 q^{13} - 30 q^{16} - 10 q^{18} - 22 q^{21} - 48 q^{22} - 14 q^{24} - 8 q^{25} - 34 q^{28} - 21 q^{30} - 6 q^{33} - 32 q^{34} + 22 q^{36} - 36 q^{37} - 168 q^{40} + q^{42} - 44 q^{45} - 110 q^{46} - 6 q^{48} - 16 q^{49} - 94 q^{52} + 21 q^{54} - 46 q^{57} - 116 q^{58} - 47 q^{60} - 68 q^{61} - 28 q^{64} - 20 q^{66} - 22 q^{69} - 44 q^{70} - 23 q^{72} - 36 q^{73} - 74 q^{76} + 134 q^{78} - 130 q^{81} + 36 q^{82} + 105 q^{84} - 60 q^{85} + 38 q^{88} + 162 q^{90} - 332 q^{93} - 40 q^{94} + 225 q^{96} - 36 q^{97}+O(q^{100}) $ 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9 - 30 * q^10 - 18 * q^12 - 36 * q^13 - 30 * q^16 - 10 * q^18 - 22 * q^21 - 48 * q^22 - 14 * q^24 - 8 * q^25 - 34 * q^28 - 21 * q^30 - 6 * q^33 - 32 * q^34 + 22 * q^36 - 36 * q^37 - 168 * q^40 + q^42 - 44 * q^45 - 110 * q^46 - 6 * q^48 - 16 * q^49 - 94 * q^52 + 21 * q^54 - 46 * q^57 - 116 * q^58 - 47 * q^60 - 68 * q^61 - 28 * q^64 - 20 * q^66 - 22 * q^69 - 44 * q^70 - 23 * q^72 - 36 * q^73 - 74 * q^76 + 134 * q^78 - 130 * q^81 + 36 * q^82 + 105 * q^84 - 60 * q^85 + 38 * q^88 + 162 * q^90 - 332 * q^93 - 40 * q^94 + 225 * q^96 - 36 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/276\mathbb{Z}\right)^\times$.

$n$	$97$	$139$	$185$
$\chi(n)$	$e\left(\frac{10}{11}\right)$	$-1$	$-1$

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 $

$2$	−0.306189	−	1.38067i	−0.216508	−	0.976281i
$2$	−0.306189	−	1.38067i	−0.216508	−	0.976281i
$3$	−1.60391	+	0.653824i	−0.926015	+	0.377486i
$3$	−1.60391	+	0.653824i	−0.926015	+	0.377486i
$4$	−1.81250	+	0.845492i	−0.906248	+	0.422746i
$5$	0.250263	+	0.852318i	0.111921	+	0.381168i	0.996335	−	0.0855349i	$-0.0272599\pi$
$5$	0.250263	+	0.852318i	0.111921	+	0.381168i	−0.884414	+	0.466703i	$0.845442\pi$
$6$	1.39381	+	2.01427i	0.569022	+	0.822322i
$7$	1.73353	−	1.50211i	0.655212	−	0.567745i	−0.262529	−	0.964924i	$-0.584556\pi$
$7$	1.73353	−	1.50211i	0.655212	−	0.567745i	0.917741	+	0.397179i	$0.130011\pi$
$8$	1.72231	+	2.24358i	0.608929	+	0.793225i
$9$	2.14503	−	2.09735i	0.715009	−	0.699115i
$10$	1.10014	−	0.606501i	0.347895	−	0.191792i
$11$	−3.94293	−	2.53397i	−1.18884	−	0.764021i	−0.211849	−	0.977302i	$-0.567948\pi$
$11$	−3.94293	−	2.53397i	−1.18884	−	0.764021i	−0.976991	+	0.213282i	$0.931585\pi$
$12$	2.35427	−	2.54114i	0.679619	−	0.733565i
$13$	4.32888	−	4.99580i	1.20062	−	1.38559i	0.298322	−	0.954465i	$-0.403573\pi$
$13$	4.32888	−	4.99580i	1.20062	−	1.38559i	0.902294	−	0.431120i	$-0.141882\pi$
$14$	−2.60471	−	1.93350i	−0.696137	−	0.516750i
$15$	−0.958664	−	1.20341i	−0.247526	−	0.310719i
$16$	2.57029	−	3.06490i	0.642572	−	0.766225i
$17$	−3.69390	+	1.68695i	−0.895901	+	0.409144i	−0.809503	−	0.587116i	$-0.800263\pi$
$17$	−3.69390	+	1.68695i	−0.895901	+	0.409144i	−0.0863987	+	0.996261i	$0.527536\pi$
$18$	−3.55253	−	2.31939i	−0.837338	−	0.546685i
$19$	−3.94170	−	1.80011i	−0.904288	−	0.412975i	−0.0916824	−	0.995788i	$-0.529224\pi$
$19$	−3.94170	−	1.80011i	−0.904288	−	0.412975i	−0.812606	+	0.582814i	$0.801952\pi$
$20$	−1.17423	−	1.33323i	−0.262565	−	0.298119i
$21$	−1.79830	+	3.54267i	−0.392421	+	0.773074i
$22$	−2.29129	+	6.21976i	−0.488505	+	1.32606i
$23$	3.68990	−	3.06344i	0.769397	−	0.638771i
$23$	3.68990	−	3.06344i	0.769397	−	0.638771i
$24$	−4.22933	−	2.47240i	−0.863309	−	0.504676i
$25$	3.54245	−	2.27660i	0.708491	−	0.455319i
$26$	−8.22301	−	4.44710i	−1.61266	−	0.872148i
$27$	−2.06913	+	4.76642i	−0.398203	+	0.917297i
$28$	−1.87199	+	4.18826i	−0.353773	+	0.791506i
$29$	5.83444	−	2.66450i	1.08343	−	0.494785i	0.207997	−	0.978129i	$-0.433305\pi$
$29$	5.83444	−	2.66450i	1.08343	−	0.494785i	0.875430	+	0.483345i	$0.160578\pi$
$30$	−1.36798	+	1.69207i	−0.249757	+	0.308928i
$31$	5.38279	−	0.773929i	0.966778	−	0.139002i	0.359199	−	0.933261i	$-0.383050\pi$
$31$	5.38279	−	0.773929i	0.966778	−	0.139002i	0.607579	+	0.794259i	$0.292141\pi$
$32$	−5.01861	−	2.61028i	−0.887173	−	0.461436i
$33$	7.98087	+	1.48626i	1.38929	+	0.258725i
$34$	3.46015	+	4.58353i	0.593410	+	0.786068i
$35$	1.71411	+	1.10159i	0.289738	+	0.186203i
$36$	−2.11457	+	5.61503i	−0.352428	+	0.935839i
$37$	−8.50962	−	2.49865i	−1.39897	−	0.410775i	−0.506641	−	0.862157i	$-0.669113\pi$
$37$	−8.50962	−	2.49865i	−1.39897	−	0.410775i	−0.892331	+	0.451382i	$0.850931\pi$
$38$	−1.27846	+	5.99336i	−0.207393	+	0.972252i
$39$	−3.67675	+	10.8431i	−0.588751	+	1.73629i
$40$	−1.48121	+	2.02944i	−0.234200	+	0.320883i
$41$	−0.885944	−	3.01725i	−0.138361	−	0.471215i	0.860935	−	0.508714i	$-0.169879\pi$
$41$	−0.885944	−	3.01725i	−0.138361	−	0.471215i	−0.999297	+	0.0374992i	$0.988061\pi$
$42$	5.44187	+	1.39813i	0.839700	+	0.215736i
$43$	4.37045	+	0.628375i	0.666487	+	0.0958263i	0.467250	−	0.884125i	$-0.345245\pi$
$43$	4.37045	+	0.628375i	0.666487	+	0.0958263i	0.199236	+	0.979951i	$0.436154\pi$
$44$	9.28901	+	1.25909i	1.40037	+	0.189815i
$45$	2.32443	+	1.30336i	0.346505	+	0.194293i
$46$	−5.35940	−	4.15654i	−0.790201	−	0.612848i
$47$	2.31745			0.338034			0.169017	−	0.985613i	$-0.445941\pi$
$47$	2.31745			0.338034			0.169017	+	0.985613i	$0.445941\pi$
$48$	−2.11859	+	6.59633i	−0.305792	+	0.952098i
$49$	−0.247420	+	1.72084i	−0.0353457	+	0.245835i
$50$	−4.22789	−	4.19389i	−0.597914	−	0.593105i
$51$	4.82169	−	5.12086i	0.675172	−	0.717064i
$52$	−3.62218	+	12.7149i	−0.502306	+	1.76324i
$53$	−6.44542	+	5.58499i	−0.885346	+	0.767157i	−0.973437	−	0.228955i	$-0.926469\pi$
$53$	−6.44542	+	5.58499i	−0.885346	+	0.767157i	0.0880904	+	0.996112i	$0.471924\pi$
$54$	7.21439	+	1.39735i	0.981754	+	0.190156i
$55$	1.17298	−	3.99479i	0.158164	−	0.538658i
$56$	6.35578	+	1.30220i	0.849327	+	0.174014i
$57$	7.49908	+	0.310033i	0.993277	+	0.0410649i
$58$	−5.46523	−	7.23959i	−0.717620	−	0.950604i
$59$	−0.264424	+	0.305161i	−0.0344250	+	0.0397286i	−0.772701	−	0.634770i	$-0.781095\pi$
$59$	−0.264424	+	0.305161i	−0.0344250	+	0.0397286i	0.738276	+	0.674499i	$0.235640\pi$
$60$	2.75505	+	1.37063i	0.355675	+	0.176948i
$61$	−0.544015	−	3.78371i	−0.0696540	−	0.484454i	−0.994552	−	0.104240i	$-0.966759\pi$
$61$	−0.544015	−	3.78371i	−0.0696540	−	0.484454i	0.924898	−	0.380215i	$-0.124150\pi$
$62$	−2.71669	−	7.19489i	−0.345020	−	0.913752i
$63$	0.568020	−	6.85788i	0.0715638	−	0.864012i
$64$	−2.06729	+	7.72828i	−0.258411	+	0.966035i
$65$	5.34137	+	2.43932i	0.662515	+	0.302560i
$66$	−0.391618	−	11.4740i	−0.0482048	−	1.41235i
$67$	−1.39761	−	2.17473i	−0.170746	−	0.265686i	0.745326	−	0.666700i	$-0.232294\pi$
$67$	−1.39761	−	2.17473i	−0.170746	−	0.265686i	−0.916072	+	0.401015i	$0.868658\pi$
$68$	5.26888	−	6.18074i	0.638945	−	0.749525i
$69$	−3.91530	+	7.32601i	−0.471346	+	0.881948i
$70$	0.996095	−	2.70392i	0.119056	−	0.323180i
$71$	2.91111	−	1.87085i	0.345485	−	0.222030i	−0.356378	−	0.934342i	$-0.615988\pi$
$71$	2.91111	−	1.87085i	0.345485	−	0.222030i	0.701863	+	0.712312i	$0.252352\pi$
$72$	8.39996	+	1.20025i	0.989945	+	0.141451i
$73$	−4.87452	+	10.6737i	−0.570520	+	1.24926i	0.376001	+	0.926619i	$0.377299\pi$
$73$	−4.87452	+	10.6737i	−0.570520	+	1.24926i	−0.946520	+	0.322644i	$0.895428\pi$
$74$	−0.844257	+	12.5140i	−0.0981428	+	1.45473i
$75$	−4.19327	+	5.96759i	−0.484197	+	0.689078i
$76$	8.66630	−	0.0699746i	0.994093	−	0.00802664i
$77$	−10.6415	+	1.53002i	−1.21271	+	0.174362i
$78$	16.0965	+	1.75633i	1.82258	+	0.198865i
$79$	8.85470	+	7.67265i	0.996232	+	0.863240i	0.990606	−	0.136744i	$-0.0436638\pi$
$79$	8.85470	+	7.67265i	0.996232	+	0.863240i	0.00562573	+	0.999984i	$0.498209\pi$
$80$	3.25552	+	1.42367i	0.363978	+	0.159171i
$81$	0.202282	−	8.99773i	0.0224758	−	0.999747i
$82$	−3.89456	+	2.14704i	−0.430082	+	0.237101i
$83$	−2.87504	−	0.844189i	−0.315577	−	0.0926618i	0.120108	−	0.992761i	$-0.461676\pi$
$83$	−2.87504	−	0.844189i	−0.315577	−	0.0926618i	−0.435685	+	0.900099i	$0.643494\pi$
$84$	0.264115	−	7.94152i	0.0288173	−	0.866491i
$85$	−2.36226	−	2.72619i	−0.256223	−	0.295697i
$86$	−0.470604	−	6.22654i	−0.0507465	−	0.671425i
$87$	−7.61577	+	8.08830i	−0.816496	+	0.867157i
$88$	−1.10580	−	13.2106i	−0.117879	−	1.40825i
$89$	8.15231	+	1.17212i	0.864143	+	0.124245i	0.560112	−	0.828417i	$-0.310758\pi$
$89$	8.15231	+	1.17212i	0.864143	+	0.124245i	0.304031	+	0.952662i	$0.401667\pi$
$90$	1.08779	−	3.60834i	0.114663	−	0.380352i
$91$		−	15.1628i		−	1.58950i
$92$	−4.09781	+	8.67225i	−0.427227	+	0.904145i
$93$	−8.12748	+	4.76071i	−0.842781	+	0.493663i
$94$	−0.709577	−	3.19963i	−0.0731873	−	0.330017i
$95$	0.547807	−	3.81008i	0.0562038	−	0.390906i
$96$	9.75604	+	0.905349i	0.995722	+	0.0924018i
$97$	−5.89808	+	1.73183i	−0.598859	+	0.175841i	−0.567092	−	0.823654i	$-0.691932\pi$
$97$	−5.89808	+	1.73183i	−0.598859	+	0.175841i	−0.0317671	+	0.999495i	$0.510113\pi$
$98$	2.45167	−	0.185298i	0.247656	−	0.0187179i
$99$	−13.7723	+	2.83426i	−1.38417	+	0.284854i
$100$	−4.49584	+	7.12144i	−0.449584	+	0.712144i
$101$	−1.80579	+	6.14996i	−0.179683	+	0.611944i	0.819558	+	0.572996i	$0.194219\pi$
$101$	−1.80579	+	6.14996i	−0.179683	+	0.611944i	−0.999241	+	0.0389480i	$0.987599\pi$
$102$	−8.54657	−	5.08921i	−0.846236	−	0.503907i
$103$	−3.61601	+	5.62662i	−0.356296	+	0.554407i	−0.972418	−	0.233243i	$-0.925066\pi$
$103$	−3.61601	+	5.62662i	−0.356296	+	0.554407i	0.616123	+	0.787650i	$0.288703\pi$
$104$	18.6642	+	1.10787i	1.83017	+	0.108636i
$105$	−3.46953	−	0.646124i	−0.338591	−	0.0630552i
$106$	9.68454	+	7.18893i	0.940646	+	0.698251i
$107$	0.444508	+	3.09162i	0.0429722	+	0.298879i	0.999962	+	0.00875572i	$0.00278707\pi$
$107$	0.444508	+	3.09162i	0.0429722	+	0.298879i	−0.956989	+	0.290123i	$0.906304\pi$
$108$	−0.279683	−	10.3885i	−0.0269126	−	0.999638i
$109$	2.11393	+	4.62887i	0.202478	+	0.443365i	0.983445	−	0.181207i	$-0.0580005\pi$
$109$	2.11393	+	4.62887i	0.202478	+	0.443365i	−0.780967	+	0.624573i	$0.785273\pi$
$110$	−5.87464	−	0.396332i	−0.560125	−	0.0377887i
$111$	15.2823	−	1.55620i	1.45053	−	0.147708i
$112$	−0.148157	−	9.17395i	−0.0139995	−	0.866857i
$113$	−7.37040	−	11.4686i	−0.693349	−	1.07887i	−0.992210	−	0.124576i	$-0.960243\pi$
$113$	−7.37040	−	11.4686i	−0.693349	−	1.07887i	0.298861	−	0.954297i	$-0.403393\pi$
$114$	−1.86808	−	10.4487i	−0.174962	−	0.978608i
$115$	3.53447	+	2.37830i	0.329591	+	0.221777i
$116$	−8.32208	+	9.76236i	−0.772686	+	0.906412i
$117$	−1.19234	−	19.7953i	−0.110232	−	1.83008i
$118$	0.502290	+	0.271645i	0.0462396	+	0.0250069i
$119$	−3.86950	+	8.47301i	−0.354716	+	0.776720i
$120$	1.04882	−	4.22348i	0.0957440	−	0.385550i
$121$	4.55616	+	9.97661i	0.414197	+	0.906964i
$122$	−5.05748	+	1.90964i	−0.457883	+	0.172890i
$123$	3.39372	+	4.26013i	0.306002	+	0.384123i
$124$	−9.10195	+	5.95385i	−0.817379	+	0.534672i
$125$	6.18359	+	5.35811i	0.553077	+	0.479244i
$126$	−9.64239	+	1.31556i	−0.859012	+	0.117199i
$127$	1.62784	−	2.53297i	0.144447	−	0.224765i	−0.761489	−	0.648177i	$-0.775532\pi$
$127$	1.62784	−	2.53297i	0.144447	−	0.224765i	0.905937	+	0.423413i	$0.139168\pi$
$128$	11.3032	+	0.487925i	0.999070	+	0.0431269i
$129$	−7.42063	+	1.84965i	−0.653350	+	0.162853i
$130$	1.73243	−	8.12156i	0.151944	−	0.712308i
$131$	−0.0700022	−	0.0807869i	−0.00611612	−	0.00705838i	0.752683	−	0.658383i	$-0.228759\pi$
$131$	−0.0700022	−	0.0807869i	−0.00611612	−	0.00705838i	−0.758799	+	0.651324i	$0.774214\pi$
$132$	−15.7219	+	4.05391i	−1.36842	+	0.352848i
$133$	−9.53703	+	2.80032i	−0.826965	+	0.242819i
$134$	−2.57465	+	2.59552i	−0.222416	+	0.224219i
$135$	−4.58033	−	0.570694i	−0.394212	−	0.0491175i
$136$	−10.1468	−	5.38210i	−0.870084	−	0.461511i
$137$		−	18.0708i		−	1.54390i	−0.635685	−	0.771948i	$-0.719282\pi$
$137$		−	18.0708i		−	1.54390i	0.635685	−	0.771948i	$-0.280718\pi$
$138$	11.3136	+	3.16258i	0.963080	+	0.269217i
$139$			8.29312i			0.703414i	0.936110	+	0.351707i	$0.114399\pi$
$139$			8.29312i			0.703414i	−0.936110	+	0.351707i	$0.885601\pi$
$140$	−4.03821	−	0.547366i	−0.341291	−	0.0462609i
$141$	−3.71697	+	1.51520i	−0.313025	+	0.127603i
$142$	−3.47438	−	3.44644i	−0.291564	−	0.289219i
$143$	−29.7277	+	8.72885i	−2.48596	+	0.729943i
$144$	−0.914823	−	11.9651i	−0.0762353	−	0.997090i
$145$	3.73114	+	4.30597i	0.309854	+	0.357591i
$146$	16.2294	+	3.46193i	1.34315	+	0.286511i
$147$	−0.728291	−	2.92184i	−0.0600684	−	0.240989i
$148$	17.5362	−	2.66602i	1.44147	−	0.219145i
$149$	4.39832	−	6.84392i	0.360324	−	0.560676i	−0.613007	−	0.790077i	$-0.710040\pi$
$149$	4.39832	−	6.84392i	0.360324	−	0.560676i	0.973332	+	0.229401i	$0.0736768\pi$
$150$	9.52320	+	3.96231i	0.777566	+	0.323521i
$151$	−15.3350	−	13.2879i	−1.24795	−	1.08135i	−0.993449	−	0.114277i	$-0.963545\pi$
$151$	−15.3350	−	13.2879i	−1.24795	−	1.08135i	−0.254496	−	0.967074i	$-0.581910\pi$
$152$	−2.75014	−	11.9439i	−0.223066	−	0.968776i
$153$	−4.38540	+	11.3659i	−0.354538	+	0.918880i
$154$	5.37076	+	14.2239i	0.432788	+	1.14620i
$155$	2.00675	+	4.39416i	0.161186	+	0.352948i
$156$	−2.50368	−	22.7618i	−0.200455	−	1.82240i
$157$	−2.50609	+	5.48757i	−0.200008	+	0.437956i	−0.982885	−	0.184220i	$-0.941024\pi$
$157$	−2.50609	+	5.48757i	−0.200008	+	0.437956i	0.782877	+	0.622176i	$0.213751\pi$
$158$	7.88217	−	14.5747i	0.627072	−	1.15950i
$159$	6.68624	−	13.1720i	0.530254	−	1.04460i
$160$	0.968813	−	4.93071i	0.0765914	−	0.389807i
$161$	1.79492	−	10.8532i	0.141459	−	0.855352i
$162$	−12.4848	+	2.47572i	−0.980900	+	0.194511i
$163$	6.54722	+	10.1877i	0.512818	+	0.797960i	0.997032	−	0.0769893i	$-0.0245307\pi$
$163$	6.54722	+	10.1877i	0.512818	+	0.797960i	−0.484214	+	0.874950i	$0.660894\pi$
$164$	4.15683	+	4.71969i	0.324594	+	0.368546i
$165$	0.730549	+	7.17419i	0.0568731	+	0.558510i
$166$	−0.285239	+	4.22797i	−0.0221388	+	0.328154i
$167$	−0.285226	−	0.624557i	−0.0220714	−	0.0483297i	0.898275	−	0.439433i	$-0.144821\pi$
$167$	−0.285226	−	0.624557i	−0.0220714	−	0.0483297i	−0.920347	+	0.391104i	$0.872093\pi$
$168$	−11.0455	+	2.06695i	−0.852178	+	0.159469i
$169$	−4.36868	−	30.3848i	−0.336052	−	2.33729i
$170$	−3.04067	+	4.09623i	−0.233209	+	0.314166i
$171$	−12.2305	+	4.40582i	−0.935291	+	0.336921i
$172$	−8.45270	+	2.55625i	−0.644513	+	0.194912i
$173$	−1.22464	+	1.90558i	−0.0931077	+	0.144878i	−0.884683	−	0.466194i	$-0.845625\pi$
$173$	−1.22464	+	1.90558i	−0.0931077	+	0.144878i	0.791575	+	0.611072i	$0.209261\pi$
$174$	13.4991	+	8.03831i	1.02337	+	0.609383i
$175$	2.72124	−	9.26771i	0.205707	−	0.700573i
$176$	−17.9008	+	5.57168i	−1.34933	+	0.419981i
$177$	0.224589	−	0.662336i	0.0168811	−	0.0497842i
$178$	−0.877830	−	11.6145i	−0.0657962	−	0.870546i
$179$	22.8358	−	6.70518i	1.70682	−	0.501169i	0.724646	−	0.689121i	$-0.242003\pi$
$179$	22.8358	−	6.70518i	1.70682	−	0.501169i	0.982178	+	0.187952i	$0.0601851\pi$
$180$	−5.31499	−	0.397046i	−0.396156	−	0.0295940i
$181$	0.312619	−	2.17431i	0.0232368	−	0.161615i	−0.974899	−	0.222647i	$-0.928530\pi$
$181$	0.312619	−	2.17431i	0.0232368	−	0.161615i	0.998136	+	0.0610321i	$0.0194392\pi$
$182$	−20.9349	+	4.64269i	−1.55179	+	0.344139i
$183$	3.34643	+	5.71302i	0.247375	+	0.422319i
$184$	13.2282	+	3.00238i	0.975197	+	0.221338i
$185$		−	7.87821i		−	0.579218i
$186$	9.06152	+	9.76369i	0.664423	+	0.715908i
$187$	18.8395	+	2.70871i	1.37768	+	0.198080i
$188$	−4.20037	+	1.95938i	−0.306343	+	0.142903i
$189$	3.57280	+	11.3708i	0.259883	+	0.827102i
$190$	−5.42820	+	0.410265i	−0.393803	+	0.0297638i
$191$	10.0775	+	11.6301i	0.729185	+	0.841524i	0.992380	−	0.123218i	$-0.0393216\pi$
$191$	10.0775	+	11.6301i	0.729185	+	0.841524i	−0.263195	+	0.964743i	$0.584776\pi$
$192$	−1.73721	−	13.7471i	−0.125372	−	0.992110i
$193$	7.34887	+	2.15782i	0.528983	+	0.155323i	0.535309	−	0.844657i	$-0.320195\pi$
$193$	7.34887	+	2.15782i	0.528983	+	0.155323i	−0.00632552	+	0.999980i	$0.502013\pi$
$194$	4.19702	+	7.61303i	0.301328	+	0.546584i
$195$	−10.1619	−	0.420124i	−0.727711	−	0.0300857i
$196$	−1.00651	−	3.32821i	−0.0718936	−	0.237729i
$197$	−1.03947	−	0.900704i	−0.0740590	−	0.0641725i	0.617045	−	0.786928i	$-0.288330\pi$
$197$	−1.03947	−	0.900704i	−0.0740590	−	0.0641725i	−0.691104	+	0.722756i	$0.742875\pi$
$198$	8.13011	+	18.1472i	0.577782	+	1.28966i
$199$	18.5334	−	2.66470i	1.31380	−	0.188896i	0.550442	−	0.834874i	$-0.314459\pi$
$199$	18.5334	−	2.66470i	1.31380	−	0.188896i	0.763356	+	0.645978i	$0.223550\pi$
$200$	11.2089	+	4.02676i	0.792591	+	0.284735i
$201$	3.66353	+	2.57427i	0.258406	+	0.181575i
$202$	9.04397	+	0.610150i	0.636332	+	0.0429300i
$203$	6.11179	−	13.3830i	0.428964	−	0.939299i
$204$	−4.40966	+	13.3582i	−0.308738	+	0.935264i
$205$	2.34994	−	1.51021i	0.164127	−	0.105478i
$206$	8.87568	+	3.26970i	0.618398	+	0.227811i
$207$	1.48984	−	14.3101i	0.103551	−	0.994624i
$208$	−4.18516	−	26.1082i	−0.290189	−	1.81028i
$209$	10.9804	+	17.0859i	0.759532	+	1.18186i
$210$	0.170248	+	4.98811i	0.0117482	+	0.344212i
$211$	−8.93806	−	4.08188i	−0.615322	−	0.281008i	0.0832718	−	0.996527i	$-0.473463\pi$
$211$	−8.93806	−	4.08188i	−0.615322	−	0.281008i	−0.698593	+	0.715519i	$0.746190\pi$
$212$	6.96024	−	15.5723i	0.478031	−	1.06951i
$213$	−3.44593	+	4.90403i	−0.236111	+	0.336018i
$214$	4.13241	−	1.56034i	0.282486	−	0.106663i
$215$	0.558186	+	3.88227i	0.0380679	+	0.264768i
$216$	−14.2575	+	3.56701i	−0.970100	+	0.242704i
$217$	8.16870	−	9.42719i	0.554528	−	0.639959i
$218$	5.74368	−	4.33596i	0.389011	−	0.293668i
$219$	0.839538	−	20.3067i	0.0567307	−	1.37220i
$220$	1.25155	+	8.23229i	0.0843793	+	0.555021i
$221$	−7.56281	+	25.7566i	−0.508730	+	1.73257i
$222$	−6.82787	−	20.6233i	−0.458257	−	1.38415i
$223$	−4.18574	+	3.62697i	−0.280298	+	0.242880i	−0.783651	−	0.621201i	$-0.786645\pi$
$223$	−4.18574	+	3.62697i	−0.280298	+	0.242880i	0.503353	+	0.864081i	$0.332099\pi$
$224$	−12.6208	+	3.01352i	−0.843265	+	0.201349i
$225$	2.82385	−	12.3131i	0.188257	−	0.820874i
$226$	−13.5776	+	13.6876i	−0.903167	+	0.910489i
$227$	−2.62249	+	18.2398i	−0.174061	+	1.21062i	0.696134	+	0.717912i	$0.254902\pi$
$227$	−2.62249	+	18.2398i	−0.174061	+	1.21062i	−0.870195	+	0.492708i	$0.836007\pi$
$228$	−13.8542	+	5.77847i	−0.917515	+	0.382689i
$229$	8.71139			0.575665			0.287832	−	0.957681i	$-0.407065\pi$
$229$	8.71139			0.575665			0.287832	+	0.957681i	$0.407065\pi$
$230$	2.20143	−	5.60814i	0.145158	−	0.369790i
$231$	16.0676	−	9.41167i	1.05717	−	0.619243i
$232$	16.0267	+	8.50092i	1.05221	+	0.558113i
$233$	−1.86147	−	0.267639i	−0.121949	−	0.0175336i	0.0810700	−	0.996708i	$-0.474166\pi$
$233$	−1.86147	−	0.267639i	−0.121949	−	0.0175336i	−0.203019	+	0.979175i	$0.565075\pi$
$234$	−26.9657	+	7.70733i	−1.76280	+	0.503844i
$235$	0.579971	+	1.97520i	0.0378332	+	0.128848i
$236$	0.221256	−	0.776671i	0.0144025	−	0.0505570i
$237$	−19.2187	−	6.51678i	−1.24839	−	0.423310i
$238$	12.8832	+	2.74815i	0.835096	+	0.178136i
$239$	−4.69479	−	1.37851i	−0.303681	−	0.0891686i	0.126342	−	0.991987i	$-0.459676\pi$
$239$	−4.69479	−	1.37851i	−0.303681	−	0.0891686i	−0.430023	+	0.902818i	$0.641494\pi$
$240$	−6.15237	−	0.154894i	−0.397134	−	0.00999838i
$241$	14.6964	+	9.44482i	0.946680	+	0.608394i	0.920281	−	0.391257i	$-0.127960\pi$
$241$	14.6964	+	9.44482i	0.946680	+	0.608394i	0.0263987	+	0.999651i	$0.491596\pi$
$242$	12.3793	−	9.34528i	0.795775	−	0.600738i
$243$	5.55849	+	14.5638i	0.356577	+	0.934266i
$244$	4.18512	+	6.39800i	0.267925	+	0.409590i
$245$	−1.52862	+	0.219783i	−0.0976602	+	0.0140414i
$246$	4.84271	−	5.99001i	0.308760	−	0.381909i
$247$	−26.0562	+	11.8995i	−1.65792	+	0.757144i
$248$	11.0072	+	10.7438i	0.698959	+	0.682230i
$249$	5.16325	−	0.525775i	0.327208	−	0.0333196i
$250$	5.50443	−	10.1781i	0.348131	−	0.643719i
$251$	22.7468	−	14.6185i	1.43576	−	0.922709i	0.436022	−	0.899936i	$-0.356387\pi$
$251$	22.7468	−	14.6185i	1.43576	−	0.922709i	0.999741	−	0.0227727i	$-0.00724940\pi$
$252$	4.76875	+	12.9101i	0.300403	+	0.813262i
$253$	−22.3117	+	2.72885i	−1.40272	+	0.171561i
$254$	−3.99562	−	1.47194i	−0.250707	−	0.0923578i
$255$	5.57129	+	2.82805i	0.348888	+	0.177100i
$256$	−2.78725	−	15.7554i	−0.174203	−	0.984710i
$257$	19.3644	+	8.84345i	1.20792	+	0.551639i	0.914594	−	0.404373i	$-0.132510\pi$
$257$	19.3644	+	8.84345i	1.20792	+	0.551639i	0.293327	+	0.956012i	$0.405238\pi$
$258$	4.82587	+	9.67909i	0.300446	+	0.602594i
$259$	−18.5049	+	8.45091i	−1.14984	+	0.525114i
$260$	−11.7436	+	0.0948220i	−0.728309	+	0.00588061i
$261$	6.92665	−	17.9522i	0.428749	−	1.11122i
$262$	−0.0901061	+	0.121386i	−0.00556677	+	0.00749925i
$263$	−9.80172	+	11.3118i	−0.604400	+	0.697514i	−0.972667	−	0.232206i	$-0.925406\pi$
$263$	−9.80172	+	11.3118i	−0.604400	+	0.697514i	0.368267	+	0.929720i	$0.379951\pi$
$264$	10.4110	+	20.4655i	0.640752	+	1.25956i
$265$	−6.37323	−	4.09583i	−0.391505	−	0.251605i
$266$	6.78645	+	12.3101i	0.416104	+	0.754778i
$267$	−13.8419	+	3.45020i	−0.847110	+	0.211149i
$268$	4.37189	+	2.76002i	0.267056	+	0.168595i
$269$	2.01516	−	1.74614i	0.122866	−	0.106464i	−0.591260	−	0.806481i	$-0.701369\pi$
$269$	2.01516	−	1.74614i	0.122866	−	0.106464i	0.714127	+	0.700016i	$0.246824\pi$
$270$	0.614506	+	6.49866i	0.0373976	+	0.395496i
$271$	1.07047	+	3.64570i	0.0650266	+	0.221460i	0.985595	−	0.169120i	$-0.0540926\pi$
$271$	1.07047	+	3.64570i	0.0650266	+	0.221460i	−0.920569	+	0.390580i	$0.872274\pi$
$272$	−4.32405	+	15.6574i	−0.262184	+	0.949367i
$273$	9.91383	+	24.3198i	0.600012	+	1.47190i
$274$	−24.9499	+	5.53310i	−1.50728	+	0.334267i
$275$	−19.7365			−1.19016
$276$	0.902376	−	16.5887i	0.0543166	−	0.998524i
$277$	−0.860661			−0.0517121			−0.0258561	−	0.999666i	$-0.508231\pi$
$277$	−0.860661			−0.0517121			−0.0258561	+	0.999666i	$0.508231\pi$
$278$	11.4501	−	2.53926i	0.686729	−	0.152295i
$279$	9.92304	−	12.9497i	0.594077	−	0.775277i
$280$	0.480725	+	5.74304i	0.0287288	+	0.343212i
$281$	3.28155	+	11.1759i	0.195761	+	0.666701i	0.997605	+	0.0691674i	$0.0220343\pi$
$281$	3.28155	+	11.1759i	0.195761	+	0.666701i	−0.801844	+	0.597533i	$0.796148\pi$
$282$	3.23009	+	4.66796i	0.192349	+	0.277973i
$283$	−11.7480	+	10.1797i	−0.698349	+	0.605123i	−0.929949	−	0.367688i	$-0.880149\pi$
$283$	−11.7480	+	10.1797i	−0.698349	+	0.605123i	0.231600	+	0.972811i	$0.425604\pi$
$284$	−3.69458	+	5.85224i	−0.219233	+	0.347266i
$285$	1.61249	+	6.46918i	0.0955159	+	0.383201i
$286$	21.1540	+	38.3715i	1.25086	+	2.26895i
$287$	−6.06805	−	3.89970i	−0.358186	−	0.230192i
$288$	−16.2397	+	4.92664i	−0.956934	+	0.290305i
$289$	−0.333549	+	0.384936i	−0.0196205	+	0.0226433i
$290$	4.80268	−	6.46991i	0.282023	−	0.379926i
$291$	8.32765	−	6.63400i	0.488175	−	0.388892i
$292$	−0.189484	−	23.4674i	−0.0110887	−	1.37333i
$293$	0.00187563		0.000856573i	0.000109576		5.00415e-5i	−0.415360	−	0.909657i	$-0.636344\pi$
$293$	0.00187563		0.000856573i	0.000109576		5.00415e-5i	0.415470	+	0.909607i	$0.363617\pi$
$294$	−3.81110	+	1.90016i	−0.222268	+	0.110820i
$295$	−0.326270	−	0.149002i	−0.0189961	−	0.00867525i
$296$	−9.05029	−	23.3954i	−0.526038	−	1.35983i
$297$	20.2364	−	13.5506i	1.17423	−	0.786284i
$298$	−10.7959	−	3.97709i	−0.625390	−	0.230387i
$299$	0.668813	−	31.6953i	0.0386784	−	1.83298i
$300$	2.55473	−	14.3616i	0.147498	−	0.829168i
$301$	8.52018	−	5.47559i	0.491095	−	0.315608i
$302$	−13.6507	+	25.2412i	−0.785511	+	1.45247i
$303$	−1.12468	−	11.0446i	−0.0646109	−	0.634497i
$304$	−15.6485	+	7.45412i	−0.897502	+	0.427523i
$305$	3.08878	−	1.41060i	0.176863	−	0.0807705i
$306$	17.0353	+	2.57467i	0.973846	+	0.147184i
$307$	−0.568643	+	0.0817585i	−0.0324541	+	0.00466620i	−0.158523	−	0.987355i	$-0.550673\pi$
$307$	−0.568643	+	0.0817585i	−0.0324541	+	0.00466620i	0.126069	+	0.992022i	$0.459764\pi$
$308$	17.9941	−	11.7704i	1.02531	−	0.670684i
$309$	2.12091	−	11.3888i	0.120655	−	0.647886i
$310$	5.45244	−	4.11610i	0.309678	−	0.233779i
$311$	6.29953	+	4.04846i	0.357213	+	0.229567i	0.706922	−	0.707291i	$-0.250083\pi$
$311$	6.29953	+	4.04846i	0.357213	+	0.229567i	−0.349709	+	0.936858i	$0.613719\pi$
$312$	−30.6599	+	10.4262i	−1.73577	+	0.590265i
$313$	22.7153	+	6.66982i	1.28395	+	0.377000i	0.851355	−	0.524590i	$-0.175781\pi$
$313$	22.7153	+	6.66982i	1.28395	+	0.377000i	0.432590	+	0.901591i	$0.357600\pi$
$314$	8.34386	+	1.77985i	0.470871	+	0.100443i
$315$	5.98725	−	1.23214i	0.337343	−	0.0694232i
$316$	−22.5363	−	6.42006i	−1.26776	−	0.361157i
$317$	4.95415	+	16.8723i	0.278253	+	0.947642i	0.973465	+	0.228837i	$0.0734924\pi$
$317$	4.95415	+	16.8723i	0.278253	+	0.947642i	−0.695212	+	0.718805i	$0.744689\pi$
$318$	−20.2334	−	5.19838i	−1.13463	−	0.291511i
$319$	−29.7566	−	4.27835i	−1.66605	−	0.239541i
$320$	−7.10431	+	0.172118i	−0.397143	+	0.00962168i
$321$	−2.73433	−	4.66804i	−0.152615	−	0.260545i
$322$	−15.5343	+	0.844943i	−0.865691	+	0.0470869i
$323$	17.5969			0.979119
$324$	7.24087	+	16.4794i	0.402270	+	0.915521i
$325$	3.96145	−	27.5525i	0.219742	−	1.52834i
$326$	12.0611	−	12.1589i	0.668004	−	0.673419i
$327$	−6.41702	−	6.04213i	−0.354862	−	0.334131i
$328$	5.24356	−	7.18433i	0.289527	−	0.396688i
$329$	4.01736	−	3.48106i	0.221484	−	0.191917i
$330$	9.68150	−	3.20530i	0.532949	−	0.176446i
$331$	−1.16675	+	3.97358i	−0.0641303	+	0.218408i	−0.985323	−	0.170698i	$-0.945398\pi$
$331$	−1.16675	+	3.97358i	−0.0641303	+	0.218408i	0.921193	+	0.389106i	$0.127216\pi$
$332$	5.92476	−	0.900736i	0.325164	−	0.0494343i
$333$	−23.4939	+	12.4879i	−1.28746	+	0.684335i
$334$	−0.774974	+	0.585035i	−0.0424047	+	0.0320117i
$335$	1.50379	−	1.73547i	0.0821608	−	0.0948186i
$336$	6.23579	+	14.6173i	0.340190	+	0.797439i
$337$	1.96050	+	13.6356i	0.106795	+	0.742777i	0.970903	+	0.239471i	$0.0769741\pi$
$337$	1.96050	+	13.6356i	0.106795	+	0.742777i	−0.864108	+	0.503306i	$0.832117\pi$
$338$	−40.6137	+	15.3352i	−2.20910	+	0.834124i
$339$	19.3199	+	13.5756i	1.04931	+	0.737323i
$340$	6.58656	+	2.94394i	0.357206	+	0.159658i
$341$	−23.1851	−	10.5883i	−1.25554	−	0.573388i
$342$	9.82783	+	15.5373i	0.531428	+	0.840160i
$343$	10.8368	+	16.8624i	0.585132	+	0.910483i
$344$	6.11746	+	10.8877i	0.329831	+	0.587025i
$345$	−7.22394	−	1.50365i	−0.388924	−	0.0809535i
$346$	3.00595	+	1.10736i	0.161601	+	0.0595319i
$347$	−1.78063	+	1.14434i	−0.0955894	+	0.0614315i	−0.587562	−	0.809179i	$-0.699912\pi$
$347$	−1.78063	+	1.14434i	−0.0955894	+	0.0614315i	0.491973	+	0.870611i	$0.336276\pi$
$348$	6.96497	−	21.0991i	0.373361	−	1.13103i
$349$	−3.80212	+	8.32549i	−0.203523	+	0.445653i	−0.983679	−	0.179932i	$-0.942412\pi$
$349$	−3.80212	+	8.32549i	−0.203523	+	0.445653i	0.780156	+	0.625585i	$0.215140\pi$
$350$	−13.6289	−	0.919469i	−0.728493	−	0.0491477i
$351$	14.8551	+	30.9702i	0.792904	+	1.65307i
$352$	13.1737	+	23.0092i	0.702160	+	1.22639i
$353$	10.0978	−	1.45184i	0.537452	−	0.0772739i	0.131756	−	0.991282i	$-0.457938\pi$
$353$	10.0978	−	1.45184i	0.537452	−	0.0772739i	0.405696	+	0.914008i	$0.367029\pi$
$354$	−0.983234	−	0.107283i	−0.0522583	−	0.00570201i
$355$	2.32310	+	2.01298i	0.123298	+	0.106838i
$356$	−15.7670	+	4.76824i	−0.835652	+	0.252716i
$357$	0.666442	−	16.1199i	0.0352719	−	0.853155i
$358$	−16.2497	−	29.4756i	−0.858823	−	1.55783i
$359$	−27.7679	−	8.15338i	−1.46553	−	0.430319i	−0.550887	−	0.834580i	$-0.685711\pi$
$359$	−27.7679	−	8.15338i	−1.46553	−	0.430319i	−0.914644	+	0.404261i	$0.867529\pi$
$360$	1.07920	+	7.45982i	0.0568790	+	0.393167i
$361$	−0.145759	−	0.168215i	−0.00767154	−	0.00885343i
$362$	−3.09773	+	0.234127i	−0.162813	+	0.0123055i
$363$	−13.8306	−	13.0226i	−0.725919	−	0.683509i
$364$	12.8200	+	27.4826i	0.671953	+	1.44048i
$365$	−10.3173	−	1.48340i	−0.540033	−	0.0776450i
$366$	6.86316	−	6.36958i	0.358743	−	0.332943i
$367$		−	26.0405i		−	1.35930i	−0.733536	−	0.679651i	$-0.762131\pi$
$367$		−	26.0405i		−	1.35930i	0.733536	−	0.679651i	$-0.237869\pi$
$368$	0.0949550	−	19.1831i	0.00494987	−	0.999988i
$369$	−8.22859	−	4.61395i	−0.428363	−	0.240193i
$370$	−10.8772	+	2.41222i	−0.565479	+	0.125406i
$371$	−2.78405	+	19.3635i	−0.144541	+	1.00530i
$372$	10.7059	−	15.5005i	0.555074	−	0.803663i
$373$	8.78438	−	2.57933i	0.454838	−	0.133553i	−0.0462855	−	0.998928i	$-0.514738\pi$
$373$	8.78438	−	2.57933i	0.454838	−	0.133553i	0.501124	+	0.865376i	$0.332920\pi$
$374$	−2.02861	−	26.8404i	−0.104897	−	1.38789i
$375$	−13.4212	−	4.55092i	−0.693066	−	0.235009i
$376$	3.99137	+	5.19937i	0.205839	+	0.268137i
$377$	11.9453	−	40.6820i	0.615215	−	2.09523i
$378$	14.6053	−	8.41446i	0.751217	−	0.432793i
$379$	9.90513	−	15.4127i	0.508792	−	0.791696i	−0.487905	−	0.872896i	$-0.662239\pi$
$379$	9.90513	−	15.4127i	0.508792	−	0.791696i	0.996698	+	0.0812001i	$0.0258753\pi$
$380$	2.22850	+	7.36893i	0.114319	+	0.378018i
$381$	−0.954785	+	5.12696i	−0.0489151	+	0.262662i
$382$	12.9717	−	17.4748i	0.663689	−	0.894086i
$383$	−1.18343	−	8.23092i	−0.0604703	−	0.420580i	−0.997460	−	0.0712242i	$-0.977309\pi$
$383$	−1.18343	−	8.23092i	−0.0604703	−	0.420580i	0.936990	−	0.349356i	$-0.113600\pi$
$384$	−18.4483	+	6.60771i	−0.941434	+	0.337198i
$385$	−3.96723	−	8.68703i	−0.202189	−	0.442732i
$386$	0.729096	−	10.8071i	0.0371100	−	0.550065i
$387$	10.6926	−	7.81845i	0.543538	−	0.397434i
$388$	9.22600	−	8.12572i	0.468379	−	0.412521i
$389$	−0.146121	−	0.227369i	−0.00740865	−	0.0115281i	0.837529	−	0.546392i	$-0.183999\pi$
$389$	−0.146121	−	0.227369i	−0.00740865	−	0.0115281i	−0.844938	+	0.534864i	$0.820363\pi$
$390$	2.53142	+	14.1589i	0.128184	+	0.716964i
$391$	−8.46224	+	17.5407i	−0.427954	+	0.887070i
$392$	−4.28698	+	2.40872i	−0.216525	+	0.121659i
$393$	0.165097	+	0.0838054i	0.00832806	+	0.00422742i
$394$	−0.925301	+	1.71095i	−0.0466160	+	0.0861963i
$395$	−4.32353	+	9.46720i	−0.217540	+	0.476347i
$396$	22.5659	−	16.7815i	1.13398	−	0.843301i
$397$	5.67966	+	12.4367i	0.285054	+	0.624181i	0.996945	−	0.0781088i	$-0.0248882\pi$
$397$	5.67966	+	12.4367i	0.285054	+	0.624181i	−0.711891	+	0.702290i	$0.752161\pi$
$398$	−9.35379	−	24.7726i	−0.468863	−	1.24174i
$399$	13.4656	−	10.7270i	0.674122	−	0.537022i
$400$	2.12758	−	16.7088i	0.106379	−	0.835439i
$401$	−8.25156	−	7.15002i	−0.412063	−	0.357055i	0.424024	−	0.905651i	$-0.360617\pi$
$401$	−8.25156	−	7.15002i	−0.412063	−	0.357055i	−0.836088	+	0.548596i	$0.815163\pi$
$402$	2.43248	−	5.84634i	0.121321	−	0.291589i
$403$	19.4351	−	30.2416i	0.968131	−	1.50644i
$404$	−1.92675	−	12.6736i	−0.0958594	−	0.630533i
$405$	7.71954	−	2.07939i	0.383587	−	0.103326i
$406$	−20.3488	−	4.34065i	−1.00989	−	0.215423i
$407$	27.2214	+	31.4151i	1.34931	+	1.55719i
$408$	19.7935	+	1.99813i	0.979925	+	0.0989222i
$409$	−3.07234	+	0.902120i	−0.151917	+	0.0446069i	−0.356807	−	0.934178i	$-0.616135\pi$
$409$	−3.07234	+	0.902120i	−0.151917	+	0.0446069i	0.204890	+	0.978785i	$0.434316\pi$
$410$	−2.80463	−	2.78207i	−0.138511	−	0.137397i
$411$	11.8152	+	28.9839i	0.582799	+	1.42967i
$412$	1.79674	−	13.2555i	0.0885191	−	0.653053i
$413$			0.926199i			0.0455753i
$414$	−20.2138	+	2.32464i	−0.993452	+	0.114250i
$415$		−	2.66172i		−	0.130659i
$416$	−34.7654	+	13.7724i	−1.70451	+	0.675246i
$417$	−5.42225	−	13.3014i	−0.265529	−	0.651372i
$418$	20.2279	−	20.3919i	0.989378	−	0.997398i
$419$	23.2355	−	6.82255i	1.13513	−	0.333303i	0.340406	−	0.940279i	$-0.389435\pi$
$419$	23.2355	−	6.82255i	1.13513	−	0.333303i	0.794721	+	0.606975i	$0.207617\pi$
$420$	6.83480	−	1.76236i	0.333504	−	0.0859944i
$421$	17.8620	+	20.6138i	0.870540	+	1.00466i	0.999915	+	0.0130605i	$0.00415740\pi$
$421$	17.8620	+	20.6138i	0.870540	+	1.00466i	−0.129375	+	0.991596i	$0.541297\pi$
$422$	−2.89899	+	13.5903i	−0.141120	+	0.661567i
$423$	4.97099	−	4.86049i	0.241698	−	0.236325i
$424$	−23.6314	−	4.84172i	−1.14764	−	0.235134i
$425$	−9.24496	+	14.3854i	−0.448447	+	0.697796i
$426$	7.82595	+	3.25613i	0.379168	+	0.157760i
$427$	−6.62662	−	5.74200i	−0.320685	−	0.277875i
$428$	−3.41961	−	5.22773i	−0.165293	−	0.252692i
$429$	41.9733	−	33.4370i	2.02649	−	1.61435i
$430$	5.18922	−	1.95938i	0.250246	−	0.0944896i
$431$	−12.2133	−	26.7433i	−0.588292	−	1.28818i	−0.936469	−	0.350751i	$-0.885926\pi$
$431$	−12.2133	−	26.7433i	−0.588292	−	1.28818i	0.348176	−	0.937429i	$-0.386801\pi$
$432$	9.29035	+	18.5927i	0.446982	+	0.894543i
$433$	−1.97709	+	4.32923i	−0.0950130	+	0.208049i	−0.951171	−	0.308665i	$-0.900118\pi$
$433$	−1.97709	+	4.32923i	−0.0950130	+	0.208049i	0.856158	+	0.516714i	$0.172845\pi$
$434$	−15.5170	−	8.39178i	−0.744840	−	0.402818i
$435$	−8.79975	−	4.46685i	−0.421915	−	0.214169i
$436$	−7.74517	−	6.60250i	−0.370926	−	0.316202i
$437$	−20.0590	+	5.43292i	−0.959553	+	0.259892i
$438$	−28.2939	+	5.05857i	−1.35194	+	0.241708i
$439$	12.7838	+	19.8920i	0.610139	+	0.949394i	0.999598	+	0.0283506i	$0.00902548\pi$
$439$	12.7838	+	19.8920i	0.610139	+	0.949394i	−0.389459	+	0.921044i	$0.627338\pi$
$440$	10.9829	−	4.24861i	0.523587	−	0.202545i
$441$	3.07848	+	4.21018i	0.146594	+	0.200485i
$442$	37.8769	+	2.55536i	1.80162	+	0.121546i
$443$	−9.52306	−	20.8526i	−0.452454	−	0.990737i	−0.989143	−	0.146956i	$-0.953052\pi$
$443$	−9.52306	−	20.8526i	−0.452454	−	0.990737i	0.536689	−	0.843780i	$-0.319675\pi$
$444$	−26.3834	+	15.7417i	−1.25210	+	0.747066i
$445$	1.04120	+	7.24169i	0.0493575	+	0.343289i
$446$	6.28927	+	4.66859i	0.297805	+	0.221064i
$447$	−2.57977	+	13.8527i	−0.122019	+	0.655212i
$448$	8.02504	+	16.5025i	0.379147	+	0.779670i
$449$	−20.0327	+	31.1714i	−0.945400	+	1.47107i	−0.0644162	+	0.997923i	$0.520519\pi$
$449$	−20.0327	+	31.1714i	−0.945400	+	1.47107i	−0.880983	+	0.473147i	$0.843118\pi$
$450$	−17.8650	−	0.128662i	−0.842163	−	0.00606516i
$451$	−4.15240	+	14.1418i	−0.195529	+	0.665910i
$452$	23.0554	+	14.5551i	1.08444	+	0.684616i
$453$	33.2838	+	11.2861i	1.56381	+	0.530266i
$454$	25.9862	−	1.96404i	1.21959	−	0.0921771i
$455$	12.9235	−	3.79470i	0.605865	−	0.177898i
$456$	12.2202	+	17.3587i	0.572261	+	0.812897i
$457$	−0.701717	+	4.88055i	−0.0328249	+	0.228302i	−0.999630	−	0.0272141i	$-0.991336\pi$
$457$	−0.701717	+	4.88055i	−0.0328249	+	0.228302i	0.966805	+	0.255516i	$0.0822455\pi$
$458$	−2.66733	−	12.0275i	−0.124636	−	0.562010i
$459$	−0.397552	−	21.0971i	−0.0185561	−	0.984731i
$460$	−8.41704	−	1.32229i	−0.392447	−	0.0616523i
$461$		−	28.4522i		−	1.32515i	−0.748994	−	0.662576i	$-0.769463\pi$
$461$		−	28.4522i		−	1.32515i	0.748994	−	0.662576i	$-0.230537\pi$
$462$	−17.9141	−	19.3023i	−0.833441	−	0.898024i
$463$	−16.7543	−	2.40891i	−0.778640	−	0.111951i	−0.258476	−	0.966018i	$-0.583220\pi$
$463$	−16.7543	−	2.40891i	−0.778640	−	0.111951i	−0.520164	+	0.854066i	$0.674129\pi$
$464$	6.82975	−	24.7305i	0.317063	−	1.14808i
$465$	−6.09165	−	5.73576i	−0.282493	−	0.265990i
$466$	0.200441	+	2.65203i	0.00928525	+	0.122853i
$467$	−7.16079	−	8.26399i	−0.331362	−	0.382412i	0.565481	−	0.824761i	$-0.308691\pi$
$467$	−7.16079	−	8.26399i	−0.331362	−	0.382412i	−0.896843	+	0.442349i	$0.854145\pi$
$468$	18.8979	+	34.8708i	0.873555	+	1.61190i
$469$	−5.68949	−	1.67059i	−0.262716	−	0.0771405i
$470$	2.54952	−	1.40553i	0.117601	−	0.0648324i
$471$	0.431623	−	10.4401i	0.0198882	−	0.481054i
$472$	−1.14007	−	0.0676726i	−0.0524761	−	0.00311488i
$473$	−15.6401	−	13.5522i	−0.719132	−	0.623132i
$474$	−3.11297	+	28.5300i	−0.142983	+	1.31043i
$475$	−18.0614	+	2.59684i	−0.828715	+	0.119151i
$476$	−0.150416	−	18.6289i	−0.00689432	−	0.853856i
$477$	−2.11195	+	25.4982i	−0.0966995	+	1.16748i
$478$	−0.465780	+	6.90403i	−0.0213043	+	0.315783i
$479$	−7.10529	+	15.5584i	−0.324649	+	0.710882i	−0.999637	−	0.0269468i	$-0.991422\pi$
$479$	−7.10529	+	15.5584i	−0.324649	+	0.710882i	0.674988	+	0.737829i	$0.264149\pi$
$480$	1.66993	+	8.54182i	0.0762216	+	0.389879i
$481$	−49.3199	+	31.6960i	−2.24879	+	1.44521i
$482$	8.54029	−	23.1828i	0.389000	−	1.05595i
$483$	4.21721	+	18.5811i	0.191890	+	0.845468i
$484$	−16.6932	−	14.2304i	−0.758780	−	0.646835i
$485$	−2.95214	−	4.59362i	−0.134050	−	0.208586i
$486$	18.4058	−	12.1337i	0.834904	−	0.550396i
$487$	−25.3053	−	11.5565i	−1.14669	−	0.523677i	−0.250840	−	0.968028i	$-0.580707\pi$
$487$	−25.3053	−	11.5565i	−1.14669	−	0.523677i	−0.895853	+	0.444351i	$0.853434\pi$
$488$	7.55209	−	7.73727i	0.341867	−	0.350250i
$489$	−17.1621	−	12.0593i	−0.776096	−	0.545342i
$490$	0.771496	+	2.04323i	0.0348526	+	0.0923037i
$491$	−5.23087	−	36.3815i	−0.236066	−	1.64187i	−0.671033	−	0.741427i	$-0.734149\pi$
$491$	−5.23087	−	36.3815i	−0.236066	−	1.64187i	0.434967	−	0.900446i	$-0.356760\pi$
$492$	−9.75302	−	4.85211i	−0.439700	−	0.218750i
$493$	−17.0569	+	19.6848i	−0.768206	+	0.886557i
$494$	24.4073	+	32.3315i	1.09814	+	1.45466i
$495$	−5.86239	−	11.0291i	−0.263495	−	0.495720i
$496$	11.4633	−	18.4870i	0.514718	−	0.830089i
$497$	2.23626	−	7.61599i	0.100310	−	0.341624i
$498$	−2.30685	−	6.96776i	−0.103373	−	0.312233i
$499$	−30.0834	+	26.0674i	−1.34672	+	1.16694i	−0.376026	+	0.926609i	$0.622710\pi$
$499$	−30.0834	+	26.0674i	−1.34672	+	1.16694i	−0.970692	+	0.240329i	$0.922745\pi$
$500$	−15.7380	−	4.48338i	−0.703824	−	0.200503i
$501$	0.865826	+	0.815243i	0.0386823	+	0.0364224i
$502$	−27.1481	−	26.9297i	−1.21168	−	1.20193i
$503$	−5.06328	+	35.2159i	−0.225761	+	1.57020i	0.489917	+	0.871769i	$0.337027\pi$
$503$	−5.06328	+	35.2159i	−0.225761	+	1.57020i	−0.715677	+	0.698431i	$0.753882\pi$
$504$	16.3645	−	10.5370i	0.728933	−	0.469356i
$505$	−5.69364			−0.253364
$506$	10.5992	+	29.9695i	0.471193	+	1.33231i
$507$	26.8733	+	45.8780i	1.19348	+	2.03751i
$508$	−0.808850	+	5.96732i	−0.0358869	+	0.264757i
$509$	40.1023	+	5.76583i	1.77750	+	0.255566i	0.951401	−	0.307956i	$-0.0996450\pi$
$509$	40.1023	+	5.76583i	1.77750	+	0.255566i	0.826101	+	0.563522i	$0.190554\pi$
$510$	2.19874	−	8.55803i	0.0973617	−	0.378956i
$511$	7.58298	+	25.8253i	0.335451	+	1.14244i
$512$	−20.8995	+	8.67239i	−0.923637	+	0.383269i
$513$	16.7360	−	15.0631i	0.738911	−	0.665053i
$514$	6.28069	−	29.4437i	0.277030	−	1.29870i
$515$	−5.70062	−	1.67385i	−0.251199	−	0.0737587i
$516$	11.8860	−	9.62656i	0.523252	−	0.423786i
$517$	−9.13754	−	5.87234i	−0.401869	−	0.258265i
$518$	17.3339	+	22.9616i	0.761609	+	1.00887i
$519$	0.718295	−	3.85707i	0.0315296	−	0.169306i
$520$	3.72669	+	16.1850i	0.163426	+	0.709761i
$521$	−35.1375	+	5.05201i	−1.53940	+	0.221333i	−0.859180	−	0.511674i	$-0.829026\pi$
$521$	−35.1375	+	5.05201i	−1.53940	+	0.221333i	−0.680222	+	0.733006i	$0.738116\pi$
$522$	−26.9070	−	4.06663i	−1.17769	−	0.177992i
$523$	2.39162	−	1.09222i	0.104578	−	0.0477592i	−0.362439	−	0.932007i	$-0.618056\pi$
$523$	2.39162	−	1.09222i	0.104578	−	0.0477592i	0.467017	+	0.884248i	$0.345329\pi$
$524$	0.195183	+	0.0872396i	0.00852663	+	0.00381108i
$525$	1.69483	+	16.6437i	0.0739687	+	0.726393i
$526$	18.6190	+	10.0694i	0.811828	+	0.439046i
$527$	−18.5779	+	11.9393i	−0.809266	+	0.520084i
$528$	25.0684	−	20.6405i	1.09096	−	0.898260i
$529$	4.23068	−	22.6076i	0.183943	−	0.982937i
$530$	−3.70357	+	10.0534i	−0.160873	+	0.436693i
$531$	0.0728325	+	1.20917i	0.00316066	+	0.0524733i
$532$	14.9182	−	13.1391i	0.646785	−	0.569650i
$533$	−18.9087	−	8.63532i	−0.819028	−	0.374037i
$534$	9.00182	+	18.0547i	0.389547	+	0.781302i
$535$	−2.52380	+	1.15258i	−0.109113	+	0.0498304i
$536$	2.47205	−	6.88122i	0.106776	−	0.297223i
$537$	−32.2424	+	25.6851i	−1.39136	+	1.10839i
$538$	−3.02787	−	2.24762i	−0.130541	−	0.0969016i
$539$	5.33612	−	6.15821i	0.229843	−	0.265253i
$540$	8.78434	−	2.83825i	0.378018	−	0.122139i
$541$	−19.4244	−	12.4833i	−0.835122	−	0.536700i	0.0517800	−	0.998659i	$-0.483511\pi$
$541$	−19.4244	−	12.4833i	−0.835122	−	0.536700i	−0.886902	+	0.461959i	$0.847147\pi$
$542$	4.70573	−	2.59424i	0.202129	−	0.111432i
$543$	0.920207	+	3.69179i	0.0394899	+	0.158430i
$544$	22.9416	+	1.17597i	0.983614	+	0.0504193i
$545$	−3.41623	+	2.96018i	−0.146335	+	0.126800i
$546$	30.5420	−	21.1342i	1.30708	−	0.904459i
$547$	7.54307	+	25.6893i	0.322518	+	1.09840i	0.948030	+	0.318182i	$0.103072\pi$
$547$	7.54307	+	25.6893i	0.322518	+	1.09840i	−0.625511	+	0.780215i	$0.715110\pi$
$548$	15.2788	+	32.7534i	0.652676	+	1.39915i
$549$	−9.10268	−	6.97517i	−0.388493	−	0.297693i
$550$	6.04310	+	27.2496i	0.257679	+	1.16193i
$551$	−27.7940			−1.18406
$552$	−23.1798	+	3.83340i	−0.986600	+	0.163160i
$553$	26.8751			1.14284
$554$	0.263525	+	1.18829i	0.0111961	+	0.0504855i
$555$	5.15097	+	12.6359i	0.218646	+	0.536365i
$556$	−7.01177	−	15.0313i	−0.297365	−	0.637467i
$557$	−0.255938	−	0.871646i	−0.0108445	−	0.0369328i	0.953893	−	0.300147i	$-0.0970357\pi$
$557$	−0.255938	−	0.871646i	−0.0108445	−	0.0369328i	−0.964737	+	0.263214i	$0.915217\pi$
$558$	−20.9176	−	9.73539i	−0.885511	−	0.412132i
$559$	22.0584	−	19.1137i	0.932971	−	0.808424i
$560$	7.78204	−	2.42218i	0.328851	−	0.102356i
$561$	−31.9877	+	7.97319i	−1.35052	+	0.336628i
$562$	14.4255	−	7.95269i	0.608503	−	0.335464i
$563$	−6.85435	−	4.40502i	−0.288876	−	0.185650i	0.388174	−	0.921586i	$-0.373106\pi$
$563$	−6.85435	−	4.40502i	−0.288876	−	0.185650i	−0.677051	+	0.735936i	$0.736742\pi$
$564$	5.45590	−	5.88897i	0.229735	−	0.247970i
$565$	7.93033	−	9.15208i	0.333631	−	0.385031i
$566$	17.6520	+	13.1032i	0.741968	+	0.550770i
$567$	−13.1649	−	15.9017i	−0.552875	−	0.667807i
$568$	9.21124	+	3.30910i	0.386495	+	0.138847i
$569$	38.8936	−	17.7621i	1.63050	−	0.744626i	0.630989	−	0.775792i	$-0.282649\pi$
$569$	38.8936	−	17.7621i	1.63050	−	0.744626i	0.999514	+	0.0311661i	$0.00992208\pi$
$570$	8.43808	−	4.20712i	0.353432	−	0.176217i
$571$	33.8816	+	15.4732i	1.41790	+	0.647534i	0.969229	−	0.246162i	$-0.0791695\pi$
$571$	33.8816	+	15.4732i	1.41790	+	0.647534i	0.448673	+	0.893696i	$0.351897\pi$
$572$	46.5012	−	40.9555i	1.94431	−	1.71244i
$573$	−23.7675	−	12.0646i	−0.992900	−	0.504008i
$574$	−3.52623	+	9.57202i	−0.147182	+	0.399529i
$575$	6.09707	−	19.2525i	0.254266	−	0.802885i
$576$	11.7745	+	20.9132i	0.490604	+	0.871383i
$577$	0.641384	−	0.412192i	0.0267012	−	0.0171598i	−0.527222	−	0.849727i	$-0.676766\pi$
$577$	0.641384	−	0.412192i	0.0267012	−	0.0171598i	0.553923	+	0.832568i	$0.313130\pi$
$578$	0.633599	+	0.342658i	0.0263542	+	0.0142527i
$579$	−13.1977	+	1.34393i	−0.548479	+	0.0558517i
$580$	−10.4033	−	4.64990i	−0.431975	−	0.193077i
$581$	−6.25204	+	2.85521i	−0.259378	+	0.118454i
$582$	−11.7092	−	9.46647i	−0.485362	−	0.392398i
$583$	39.5661	−	5.68874i	1.63866	−	0.235604i
$584$	−32.3428	+	7.44709i	−1.33835	+	0.308163i
$585$	16.5735	−	5.97028i	0.685229	−	0.246841i
$586$	−0.00175694	−	0.00232736i	−7.25786e−5	−	9.61422e-5i
$587$	−9.99654	−	6.42438i	−0.412601	−	0.265163i	0.317832	−	0.948147i	$-0.397045\pi$
$587$	−9.99654	−	6.42438i	−0.412601	−	0.265163i	−0.730433	+	0.682984i	$0.760682\pi$
$588$	3.79041	+	4.68006i	0.156314	+	0.193002i
$589$	−22.6105	−	6.63905i	−0.931651	−	0.273557i
$590$	−0.105823	+	0.496093i	−0.00435665	+	0.0204238i
$591$	2.25611	+	0.765015i	0.0928040	+	0.0314685i
$592$	−29.5303	+	19.6589i	−1.21369	+	0.807976i
$593$	11.1415	+	37.9444i	0.457526	+	1.55819i	0.788796	+	0.614655i	$0.210705\pi$
$593$	11.1415	+	37.9444i	0.457526	+	1.55819i	−0.331270	+	0.943536i	$0.607477\pi$
$594$	−24.9050	−	23.7907i	−1.02186	−	0.976145i
$595$	−8.19009	−	1.17756i	−0.335761	−	0.0482751i
$596$	−2.18546	+	16.1233i	−0.0895200	+	0.660437i
$597$	−27.9836	+	16.3915i	−1.14529	+	0.670860i
$598$	−43.9655	+	8.78133i	−1.79788	+	0.359095i
$599$	32.7381			1.33764			0.668822	−	0.743422i	$-0.266799\pi$
$599$	32.7381			1.33764			0.668822	+	0.743422i	$0.266799\pi$
$600$	−20.6109	+	0.870125i	−0.841435	+	0.0355227i
$601$	−3.14662	+	21.8852i	−0.128353	+	0.892718i	0.819288	+	0.573382i	$0.194369\pi$
$601$	−3.14662	+	21.8852i	−0.128353	+	0.892718i	−0.947642	+	0.319336i	$0.896540\pi$
$602$	−10.1688	−	10.0870i	−0.414448	−	0.411115i
$603$	−7.55908	−	1.73358i	−0.307830	−	0.0705966i
$604$	39.0294	+	11.1186i	1.58808	+	0.452408i
$605$	−7.36300	+	6.38007i	−0.299348	+	0.259387i
$606$	−14.9046	+	4.93455i	−0.605459	+	0.200452i
$607$	3.61645	−	12.3165i	0.146787	−	0.499911i	−0.852970	−	0.521960i	$-0.825201\pi$
$607$	3.61645	−	12.3165i	0.146787	−	0.499911i	0.999757	+	0.0220494i	$0.00701910\pi$
$608$	15.0831	+	19.3230i	0.611699	+	0.783651i
$609$	−1.05263	+	25.4610i	−0.0426548	+	1.03173i
$610$	−2.89332	−	3.83267i	−0.117147	−	0.155180i
$611$	10.0320	−	11.5775i	0.405850	−	0.468376i
$612$	−1.66127	−	24.3085i	−0.0671530	−	0.982613i
$613$	−0.00585301	−	0.0407086i	−0.000236401	−	0.00164420i	0.989703	−	0.143137i	$-0.0457189\pi$
$613$	−0.00585301	−	0.0407086i	−0.000236401	−	0.00164420i	−0.989939	+	0.141493i	$0.954810\pi$
$614$	0.286994	+	0.760074i	0.0115821	+	0.0306741i
$615$	−2.78166	+	3.95868i	−0.112167	+	0.159629i
$616$	−21.7607	−	21.2399i	−0.876763	−	0.855779i
$617$	−36.6351	−	16.7307i	−1.47487	−	0.673552i	−0.494225	−	0.869334i	$-0.664548\pi$
$617$	−36.6351	−	16.7307i	−1.47487	−	0.673552i	−0.980647	+	0.195782i	$0.937276\pi$
$618$	−16.3736	+	0.558843i	−0.658641	+	0.0224800i
$619$	−3.17418	−	4.93912i	−0.127581	−	0.198520i	0.771587	−	0.636124i	$-0.219463\pi$
$619$	−3.17418	−	4.93912i	−0.127581	−	0.198520i	−0.899168	+	0.437604i	$0.855827\pi$
$620$	−7.35245	−	6.26772i	−0.295282	−	0.251718i
$621$	6.96677	+	23.9262i	0.279567	+	0.960126i
$622$	3.66074	−	9.93716i	0.146782	−	0.398444i
$623$	15.8929	−	10.2138i	0.636736	−	0.409206i
$624$	23.7828	+	39.1388i	0.952074	+	1.56681i
$625$	5.72712	−	12.5406i	0.229085	−	0.501625i
$626$	2.25363	−	33.4046i	0.0900733	−	1.33511i
$627$	−28.7828	−	20.2249i	−1.14947	−	0.807704i
$628$	−0.0974176	−	12.0651i	−0.00388738	−	0.481449i
$629$	35.6487	−	5.12551i	1.42141	−	0.204368i
$630$	−3.53441	−	7.88914i	−0.140814	−	0.314311i
$631$	11.4134	+	9.88977i	0.454360	+	0.393705i	0.851753	−	0.523943i	$-0.175540\pi$
$631$	11.4134	+	9.88977i	0.454360	+	0.393705i	−0.397393	+	0.917649i	$0.630085\pi$
$632$	−1.96362	+	33.0809i	−0.0781087	+	1.31589i
$633$	17.0046	+	0.703021i	0.675874	+	0.0279426i
$634$	21.7782	−	12.0062i	0.864921	−	0.476825i
$635$	2.56628	+	0.753528i	0.101840	+	0.0299029i
$636$	−0.982003	+	29.5273i	−0.0389389	+	1.17083i
$637$	7.52593	+	8.68539i	0.298188	+	0.344128i
$638$	3.20415	+	42.3940i	0.126853	+	1.67839i
$639$	2.32057	−	10.1186i	0.0918005	−	0.400287i
$640$	2.41290	+	9.75601i	0.0953783	+	0.385640i
$641$	31.4751	+	4.52544i	1.24319	+	0.178744i	0.732348	−	0.680930i	$-0.238424\pi$
$641$	31.4751	+	4.52544i	1.24319	+	0.178744i	0.510843	+	0.859674i	$0.329333\pi$
$642$	−5.60780	+	5.20451i	−0.221322	+	0.205406i
$643$			16.3820i			0.646044i	0.946391	+	0.323022i	$0.104699\pi$
$643$			16.3820i			0.646044i	−0.946391	+	0.323022i	$0.895301\pi$
$644$	5.92301	+	21.1890i	0.233399	+	0.834962i
$645$	−3.43360	−	5.86183i	−0.135198	−	0.230809i
$646$	−5.38799	−	24.2955i	−0.211988	−	0.955895i
$647$	1.94462	−	13.5251i	0.0764510	−	0.531728i	−0.915222	−	0.402949i	$-0.867985\pi$
$647$	1.94462	−	13.5251i	0.0764510	−	0.531728i	0.991673	−	0.128779i	$-0.0411058\pi$
$648$	20.5355	−	15.0431i	0.806710	−	0.590947i
$649$	1.81587	−	0.533189i	0.0712793	−	0.0209295i
$650$	−39.2539	+	2.96682i	−1.53966	+	0.116368i
$651$	−6.93810	+	20.4612i	−0.271926	+	0.801938i
$652$	−20.4804	−	12.9295i	−0.802075	−	0.506358i
$653$	−4.75066	+	16.1793i	−0.185908	+	0.633144i	0.812810	+	0.582528i	$0.197936\pi$
$653$	−4.75066	+	16.1793i	−0.185908	+	0.633144i	−0.998718	+	0.0506154i	$0.983882\pi$
$654$	−6.37736	+	10.7098i	−0.249375	+	0.418787i
$655$	0.0513371	−	0.0798821i	0.00200591	−	0.00312125i
$656$	−11.5247	−	5.03986i	−0.449964	−	0.196774i
$657$	11.9305	+	33.1190i	0.465453	+	1.29209i
$658$	−6.03627	−	4.48079i	−0.235318	−	0.174679i
$659$	6.06585	+	42.1889i	0.236292	+	1.64345i	0.669978	+	0.742381i	$0.266304\pi$
$659$	6.06585	+	42.1889i	0.236292	+	1.64345i	−0.433686	+	0.901064i	$0.642787\pi$
$660$	−7.38984	−	12.3855i	−0.287649	−	0.482106i
$661$	5.53444	+	12.1187i	0.215265	+	0.471364i	0.986202	−	0.165547i	$-0.0529391\pi$
$661$	5.53444	+	12.1187i	0.215265	+	0.471364i	−0.770937	+	0.636911i	$0.780212\pi$
$662$	5.84345	+	0.394227i	0.227112	+	0.0153221i
$663$	−4.71024	−	46.2558i	−0.182930	−	1.79643i
$664$	−3.05772	−	7.90434i	−0.118662	−	0.306748i
$665$	−4.77353	−	7.42776i	−0.185110	−	0.288036i
$666$	24.4353	+	28.6136i	0.946848	+	1.10876i
$667$	13.3659	−	27.7052i	0.517531	−	1.07275i
$668$	1.04503	+	0.890852i	0.0404334	+	0.0344681i
$669$	4.34214	−	8.55405i	0.167877	−	0.330719i
$670$	−2.85655	−	1.54486i	−0.110358	−	0.0596830i
$671$	−7.44279	+	16.2974i	−0.287326	+	0.629156i
$672$	18.2723	−	13.0852i	0.704870	−	0.504773i
$673$	−13.4724	−	29.5005i	−0.519323	−	1.13716i	−0.969695	−	0.244318i	$-0.921436\pi$
$673$	−13.4724	−	29.5005i	−0.519323	−	1.13716i	0.450372	−	0.892841i	$-0.351291\pi$
$674$	18.2259	−	6.88187i	0.702037	−	0.265080i
$675$	3.52143	+	21.5954i	0.135540	+	0.831206i
$676$	33.6083	+	51.3787i	1.29263	+	1.97610i
$677$	−5.05560	−	4.38070i	−0.194303	−	0.168364i	0.552276	−	0.833661i	$-0.313759\pi$
$677$	−5.05560	−	4.38070i	−0.194303	−	0.168364i	−0.746579	+	0.665297i	$0.768305\pi$
$678$	12.8278	−	30.8310i	0.492650	−	1.18406i
$679$	−7.62309	+	11.8618i	−0.292547	+	0.455212i
$680$	2.04788	−	9.99527i	0.0785326	−	0.383301i
$681$	−7.71942	−	30.9696i	−0.295809	−	1.18676i
$682$	−7.51990	+	35.2530i	−0.287952	+	1.34991i
$683$	29.8954	+	34.5012i	1.14392	+	1.32015i	0.940005	+	0.341161i	$0.110820\pi$
$683$	29.8954	+	34.5012i	1.14392	+	1.32015i	0.203911	+	0.978989i	$0.434635\pi$
$684$	18.4427	−	18.3263i	0.705174	−	0.700725i
$685$	15.4021	−	4.52246i	0.588484	−	0.172795i
$686$	19.9633	−	20.1251i	0.762201	−	0.768380i
$687$	−13.9722	+	5.69572i	−0.533074	+	0.217305i
$688$	13.1592	−	11.7799i	0.501690	−	0.449104i
$689$			56.3768i			2.14778i
$690$	0.135855	+	10.4343i	0.00517192	+	0.397226i
$691$		−	35.1017i		−	1.33533i	−0.744461	−	0.667665i	$-0.767294\pi$
$691$		−	35.1017i		−	1.33533i	0.744461	−	0.667665i	$-0.232706\pi$
$692$	0.608506	−	4.48928i	0.0231319	−	0.170657i
$693$	−19.6173	+	25.6008i	−0.745201	+	0.972495i
$694$	2.12517	+	2.10808i	0.0806703	+	0.0800216i
$695$	−7.06837	+	2.07546i	−0.268119	+	0.0787268i
$696$	−31.2635	−	3.15601i	−1.18504	−	0.119628i
$697$	8.36252	+	9.65086i	0.316753	+	0.365553i
$698$	12.6589	+	2.70030i	0.479147	+	0.102208i
$699$	3.16061	−	0.787808i	0.119545	−	0.0297976i
$700$	2.90352	+	19.0985i	0.109743	+	0.721855i
$701$	4.99350	−	7.77003i	0.188602	−	0.293470i	−0.734057	−	0.679088i	$-0.762375\pi$
$701$	4.99350	−	7.77003i	0.188602	−	0.293470i	0.922658	+	0.385618i	$0.126012\pi$
$702$	38.2112	−	29.9927i	1.44219	−	1.13200i
$703$	29.0445	+	25.1672i	1.09543	+	0.949199i
$704$	27.7344	−	25.2337i	1.04528	−	0.951029i
$705$	−2.22165	−	2.78884i	−0.0836723	−	0.105034i
$706$	−5.09635	−	13.4972i	−0.191804	−	0.507973i
$707$	6.10753	+	13.3736i	0.229697	+	0.502967i
$708$	0.152934	+	1.39037i	0.00574760	+	0.0522533i
$709$	18.4489	−	40.3974i	0.692862	−	1.51716i	−0.155554	−	0.987827i	$-0.549716\pi$
$709$	18.4489	−	40.3974i	0.692862	−	1.51716i	0.848416	−	0.529329i	$-0.177556\pi$
$710$	2.06795	−	3.82379i	0.0776089	−	0.143504i
$711$	35.0858	−	2.11334i	1.31582	−	0.0792566i
$712$	11.4111	+	20.3091i	0.427647	+	0.761116i
$713$	17.4911	−	19.3456i	0.655046	−	0.724498i
$714$	−22.4603	+	4.01560i	−0.840555	+	0.150280i
$715$	−14.8795	−	23.1529i	−0.556462	−	0.865871i
$716$	−35.7205	+	31.4606i	−1.33494	+	1.17574i
$717$	8.43130	−	0.858560i	0.314873	−	0.0320635i
$718$	−2.75491	+	40.8347i	−0.102812	+	1.52394i
$719$	12.4151	+	27.1852i	0.463004	+	1.01384i	0.986792	+	0.161989i	$0.0517911\pi$
$719$	12.4151	+	27.1852i	0.463004	+	1.01384i	−0.523788	+	0.851849i	$0.675482\pi$
$720$	9.96910	−	3.77414i	0.371526	−	0.140654i
$721$	2.18335	+	15.1856i	0.0813123	+	0.565539i
$722$	−0.187620	+	0.252751i	−0.00698248	+	0.00940642i
$723$	−29.7469	−	5.53972i	−1.10630	−	0.206024i
$724$	1.27174	+	4.20525i	0.0472639	+	0.156287i
$725$	14.6022	−	22.7215i	0.542313	−	0.843856i
$726$	−13.7451	+	23.0829i	−0.510130	+	0.856686i
$727$	13.6377	−	46.4459i	0.505796	−	1.72258i	−0.169954	−	0.985452i	$-0.554362\pi$
$727$	13.6377	−	46.4459i	0.505796	−	1.72258i	0.675750	−	0.737131i	$-0.263820\pi$
$728$	34.0190	−	26.1151i	1.26083	−	0.967891i
$729$	−18.4374	−	19.7246i	−0.682868	−	0.730542i
$730$	1.11095	+	14.6990i	0.0411183	+	0.544034i
$731$	−17.2040	+	5.05155i	−0.636313	+	0.186838i
$732$	−10.8957	−	7.52545i	−0.402717	−	0.278149i
$733$	0.656047	−	4.56291i	0.0242316	−	0.168535i	−0.974112	−	0.226066i	$-0.927414\pi$
$733$	0.656047	−	4.56291i	0.0242316	−	0.168535i	0.998344	+	0.0575308i	$0.0183227\pi$
$734$	−35.9533	+	7.97331i	−1.32706	+	0.294300i
$735$	2.30807	−	1.35196i	0.0851344	−	0.0498679i
$736$	−26.5146	+	5.74255i	−0.977340	+	0.211673i
$737$			12.1163i			0.446311i
$738$	−3.85084	+	12.7737i	−0.141751	+	0.470206i
$739$	−24.1626	−	3.47406i	−0.888837	−	0.127795i	−0.317255	−	0.948340i	$-0.602761\pi$
$739$	−24.1626	−	3.47406i	−0.888837	−	0.127795i	−0.571582	+	0.820545i	$0.693670\pi$
$740$	6.66097	+	14.2792i	0.244862	+	0.524915i
$741$	34.0115	−	36.1218i	1.24944	−	1.32697i
$742$	27.5870	−	2.08504i	1.01275	−	0.0765441i
$743$	8.55749	+	9.87587i	0.313944	+	0.362311i	0.890689	−	0.454614i	$-0.150223\pi$
$743$	8.55749	+	9.87587i	0.313944	+	0.362311i	−0.576745	+	0.816924i	$0.695677\pi$
$744$	−24.6791	−	10.0352i	−0.904779	−	0.367909i
$745$	6.93393	+	2.03599i	0.254040	+	0.0745927i
$746$	−6.25088	−	11.3386i	−0.228861	−	0.415134i
$747$	−7.93760	+	4.21915i	−0.290422	+	0.154371i
$748$	−36.4366	+	11.0191i	−1.33226	+	0.402898i
$749$	5.41453	+	4.69172i	0.197843	+	0.171432i
$750$	−2.17391	+	19.9236i	−0.0793799	+	0.727508i
$751$	−36.7341	+	5.28156i	−1.34045	+	0.192727i	−0.774949	−	0.632024i	$-0.782225\pi$
$751$	−36.7341	+	5.28156i	−1.34045	+	0.192727i	−0.565497	+	0.824751i	$0.691315\pi$
$752$	5.95651	−	7.10275i	0.217211	−	0.259011i
$753$	−26.9258	+	38.3190i	−0.981229	+	1.39642i
$754$	−59.8259	−	4.03614i	−2.17873	−	0.146988i
$755$	7.48769	−	16.3958i	0.272505	−	0.596703i
$756$	−16.0896	−	17.5887i	−0.585173	−	0.639696i
$757$	36.5744	−	23.5050i	1.32932	−	0.854303i	0.333248	−	0.942839i	$-0.391855\pi$
$757$	36.5744	−	23.5050i	1.32932	−	0.854303i	0.996073	+	0.0885365i	$0.0282190\pi$
$758$	−24.3127	−	8.95652i	−0.883076	−	0.325315i
$759$	34.0017	−	18.9647i	1.23418	−	0.688377i
$760$	9.49171	−	5.33310i	0.344301	−	0.193452i
$761$	0.741379	+	1.15361i	0.0268750	+	0.0418183i	0.854431	−	0.519565i	$-0.173906\pi$
$761$	0.741379	+	1.15361i	0.0268750	+	0.0418183i	−0.827556	+	0.561383i	$0.810269\pi$
$762$	7.37099	−	0.251578i	0.267023	−	0.00911370i
$763$	10.6176	+	4.84892i	0.384385	+	0.175543i
$764$	−28.0987	−	12.5590i	−1.01657	−	0.454370i
$765$	−10.7849	−	0.893282i	−0.389928	−	0.0322967i
$766$	−11.0018	+	4.15414i	−0.397512	+	0.150095i
$767$	0.379864	+	2.64201i	0.0137161	+	0.0953976i
$768$	14.7717	+	23.4477i	0.533029	+	0.846097i
$769$	−3.98474	+	4.59864i	−0.143694	+	0.165831i	−0.823034	−	0.567992i	$-0.807720\pi$
$769$	−3.98474	+	4.59864i	−0.143694	+	0.165831i	0.679341	+	0.733823i	$0.262266\pi$
$770$	−10.7792	+	8.13731i	−0.388455	+	0.293248i
$771$	−36.8408	−	1.52310i	−1.32679	−	0.0548533i
$772$	−15.1442	+	2.30236i	−0.545052	+	0.0828638i
$773$	−5.06545	+	17.2513i	−0.182192	+	0.620488i	0.816856	+	0.576842i	$0.195715\pi$
$773$	−5.06545	+	17.2513i	−0.182192	+	0.620488i	−0.999047	+	0.0436452i	$0.986103\pi$
$774$	−14.0687	−	12.3691i	−0.505688	−	0.444597i
$775$	17.3064	−	14.9961i	0.621663	−	0.538674i
$776$	−14.0438	−	10.2500i	−0.504144	−	0.367955i
$777$	24.1547	−	25.6534i	0.866546	−	0.920312i
$778$	−0.269181	+	0.271363i	−0.00965061	+	0.00972885i
$779$	−1.93927	+	13.4879i	−0.0694814	+	0.483254i
$780$	18.7737	−	7.83036i	0.672206	−	0.280372i
$781$	−16.2190			−0.580361
$782$	26.8089	+	6.31279i	0.958685	+	0.225745i
$783$	0.627926	+	33.3225i	0.0224402	+	1.19085i
$784$	4.63827	+	5.18138i	0.165653	+	0.185049i
$785$	−5.30434	−	0.762649i	−0.189320	−	0.0272201i
$786$	0.0651565	−	0.253605i	0.00232405	−	0.00904580i
$787$	−8.43135	−	28.7145i	−0.300545	−	1.02356i	−0.961880	−	0.273472i	$-0.911828\pi$
$787$	−8.43135	−	28.7145i	−0.300545	−	1.02356i	0.661335	−	0.750091i	$-0.269990\pi$
$788$	2.64557	+	0.753661i	0.0942445	+	0.0268481i
$789$	8.32511	−	24.5516i	0.296382	−	0.874061i
$790$	14.3949	+	3.07061i	0.512147	+	0.109247i
$791$	−30.0039	−	8.80994i	−1.06682	−	0.313245i
$792$	−30.0791	−	26.0178i	−1.06881	−	0.924502i
$793$	−21.2576	−	13.6615i	−0.754881	−	0.485132i
$794$	15.4320	−	11.6497i	0.547660	−	0.413433i
$795$	12.9000	+	2.40235i	0.457516	+	0.0852024i
$796$	−31.3387	+	20.4996i	−1.11077	+	0.726589i
$797$	28.7011	−	4.12659i	1.01664	−	0.146171i	0.386208	−	0.922412i	$-0.373785\pi$
$797$	28.7011	−	4.12659i	1.01664	−	0.146171i	0.630437	+	0.776241i	$0.282876\pi$
$798$	−18.9334	−	15.3070i	−0.670237	−	0.541862i
$799$	−8.56041	+	3.90941i	−0.302846	+	0.138305i
$800$	−23.7207	+	2.17856i	−0.838655	+	0.0770239i
$801$	19.9453	−	14.5840i	0.704731	−	0.515299i
$802$	−7.34528	+	13.5819i	−0.259371	+	0.479595i
$803$	46.2668	−	29.7339i	1.63272	−	1.04929i
$804$	−8.81666	−	1.56836i	−0.310940	−	0.0553119i
$805$	9.69957	−	1.18631i	0.341865	−	0.0418121i
$806$	−47.7045	−	17.5738i	−1.68032	−	0.619011i
$807$	−2.09045	+	4.11821i	−0.0735874	+	0.144968i
$808$	−16.9080	+	6.54071i	−0.594823	+	0.230101i
$809$	−34.7776	−	15.8824i	−1.22272	−	0.558396i	−0.303758	−	0.952749i	$-0.598241\pi$
$809$	−34.7776	−	15.8824i	−1.22272	−	0.558396i	−0.918959	+	0.394353i	$0.870969\pi$
$810$	−5.23459	−	10.0215i	−0.183925	−	0.352118i
$811$	38.7102	−	17.6783i	1.35930	−	0.620770i	0.403550	−	0.914958i	$-0.367776\pi$
$811$	38.7102	−	17.6783i	1.35930	−	0.620770i	0.955748	+	0.294187i	$0.0950489\pi$
$812$	0.237579	+	29.4240i	0.00833741	+	1.03258i
$813$	−4.10058	−	5.14745i	−0.143814	−	0.180529i
$814$	35.0390	−	47.2027i	1.22812	−	1.65445i
$815$	−7.04461	+	8.12991i	−0.246762	+	0.284778i
$816$	−3.30180	−	27.9401i	−0.115586	−	0.978099i
$817$	−16.0958	−	10.3442i	−0.563122	−	0.361897i
$818$	2.18624	+	3.96566i	0.0764403	+	0.138656i
$819$	−31.8017	−	32.5247i	−1.11124	−	1.13650i
$820$	−2.98238	+	4.72410i	−0.104149	+	0.164973i
$821$	11.9775	−	10.3786i	0.418017	−	0.362214i	−0.420311	−	0.907380i	$-0.638079\pi$
$821$	11.9775	−	10.3786i	0.418017	−	0.362214i	0.838328	+	0.545166i	$0.183533\pi$
$822$	36.3996	−	25.1874i	1.26958	−	0.878511i
$823$	1.41454	+	4.81748i	0.0493078	+	0.167927i	0.980466	−	0.196688i	$-0.0630187\pi$
$823$	1.41454	+	4.81748i	0.0493078	+	0.167927i	−0.931158	+	0.364615i	$0.881201\pi$
$824$	−18.8516	+	1.57799i	−0.656728	+	0.0549719i
$825$	31.6555	−	12.9042i	1.10210	−	0.449267i
$826$	1.27877	−	0.283592i	0.0444943	−	0.00986743i
$827$	−14.4254			−0.501621			−0.250810	−	0.968036i	$-0.580697\pi$
$827$	−14.4254			−0.501621			−0.250810	+	0.968036i	$0.580697\pi$
$828$	9.39879	+	27.1967i	0.326630	+	0.945152i
$829$	48.9017			1.69843			0.849213	−	0.528051i	$-0.177077\pi$
$829$	48.9017			1.69843			0.849213	+	0.528051i	$0.177077\pi$
$830$	−3.67496	+	0.814990i	−0.127560	+	0.0282887i
$831$	1.38042	−	0.562721i	0.0478862	−	0.0195206i
$832$	29.6599	+	43.7826i	1.02827	+	1.51789i
$833$	−1.98902	−	6.77400i	−0.0689156	−	0.234705i
$834$	−16.7046	+	11.5591i	−0.578433	+	0.400258i
$835$	0.460940	−	0.399406i	0.0159515	−	0.0138220i
$836$	−34.3480	−	21.6842i	−1.18795	−	0.749965i
$837$	−7.44881	+	27.2580i	−0.257468	+	0.942174i
$838$	−16.5341	−	29.9915i	−0.571162	−	1.03604i
$839$	−40.5302	−	26.0472i	−1.39926	−	0.899249i	−0.399412	−	0.916771i	$-0.630786\pi$
$839$	−40.5302	−	26.0472i	−1.39926	−	0.899249i	−0.999846	+	0.0175222i	$0.994422\pi$
$840$	−4.52598	−	8.89698i	−0.156161	−	0.306975i
$841$	7.95013	−	9.17494i	0.274142	−	0.316377i
$842$	22.9917	−	30.9732i	0.792347	−	1.06741i
$843$	−12.5704	−	15.7796i	−0.432948	−	0.543478i
$844$	19.6514	−	0.158672i	0.676429	−	0.00546171i
$845$	24.8042	−	11.3277i	0.853290	−	0.389684i
$846$	−8.23279	−	5.37506i	−0.283049	−	0.184798i
$847$	22.8842	+	10.4509i	0.786311	+	0.359096i
$848$	0.550861	+	34.1096i	0.0189166	+	1.17133i
$849$	12.1870	−	24.0085i	0.418257	−	0.823970i
$850$	22.6922	+	8.35957i	0.778338	+	0.286731i
$851$	−39.0541	+	16.8489i	−1.33876	+	0.577574i
$852$	2.09942	−	11.8020i	0.0719250	−	0.404331i
$853$	−41.0748	+	26.3972i	−1.40638	+	0.903823i	−0.999951	−	0.00986166i	$-0.996861\pi$
$853$	−41.0748	+	26.3972i	−1.40638	+	0.903823i	−0.406424	+	0.913684i	$0.633225\pi$
$854$	−5.89880	+	10.9073i	−0.201853	+	0.373240i
$855$	−6.81600	−	9.32167i	−0.233102	−	0.318794i
$856$	−6.17072	+	6.32203i	−0.210911	+	0.216082i
$857$	13.7480	−	6.27850i	0.469623	−	0.214469i	−0.166524	−	0.986037i	$-0.553254\pi$
$857$	13.7480	−	6.27850i	0.469623	−	0.214469i	0.636147	+	0.771568i	$0.280527\pi$
$858$	−59.0172	−	47.7133i	−2.01481	−	1.62890i
$859$	−33.1113	+	4.76068i	−1.12974	+	0.162432i	−0.681736	−	0.731598i	$-0.738775\pi$
$859$	−33.1113	+	4.76068i	−1.12974	+	0.162432i	−0.448006	+	0.894030i	$0.647866\pi$
$860$	−4.29413	−	6.56465i	−0.146429	−	0.223853i
$861$	12.2823	+	2.28731i	0.418580	+	0.0779514i
$862$	−33.1841	+	25.0510i	−1.13026	+	0.853240i
$863$	−4.33545	−	2.78622i	−0.147580	−	0.0948442i	0.464767	−	0.885433i	$-0.346138\pi$
$863$	−4.33545	−	2.78622i	−0.147580	−	0.0948442i	−0.612347	+	0.790589i	$0.709775\pi$
$864$	22.8258	−	18.5198i	0.776550	−	0.630056i
$865$	−1.93064	−	0.566887i	−0.0656437	−	0.0192747i
$866$	6.58260	+	1.40415i	0.223686	+	0.0477149i
$867$	0.283301	−	0.835484i	0.00962140	−	0.0283745i
$868$	−6.83514	+	23.9933i	−0.232000	+	0.814386i
$869$	−15.4713	−	52.6903i	−0.524827	−	1.78740i
$870$	−3.47286	+	13.5172i	−0.117741	+	0.458277i
$871$	−16.9146	−	2.43196i	−0.573130	−	0.0824037i
$872$	−6.74438	+	12.7151i	−0.228394	+	0.430589i
$873$	−9.01929	+	16.0851i	−0.305257	+	0.544399i
$874$	13.6429	+	26.0314i	0.461479	+	0.880524i
$875$	18.7679			0.634471
$876$	15.6475	+	37.5157i	0.528680	+	1.26754i
$877$	2.25954	−	15.7154i	0.0762993	−	0.530673i	−0.915445	−	0.402443i	$-0.868161\pi$
$877$	2.25954	−	15.7154i	0.0762993	−	0.530673i	0.991744	−	0.128230i	$-0.0409297\pi$
$878$	23.5500	−	23.7410i	0.794775	−	0.801218i
$879$	−0.00244829	+	0.00260020i	−8.25788e−5	+	8.77025e-5i
$880$	−9.22876	−	13.8628i	−0.311101	−	0.467316i
$881$	−4.82276	+	4.17895i	−0.162483	+	0.140792i	−0.732308	−	0.680974i	$-0.761557\pi$
$881$	−4.82276	+	4.17895i	−0.162483	+	0.140792i	0.569824	+	0.821766i	$0.307011\pi$
$882$	4.87027	−	5.53947i	0.163990	−	0.186524i
$883$	6.68531	−	22.7681i	0.224979	−	0.766207i	−0.767203	−	0.641404i	$-0.778352\pi$
$883$	6.68531	−	22.7681i	0.224979	−	0.766207i	0.992182	−	0.124802i	$-0.0398297\pi$
$884$	−8.06940	−	53.0780i	−0.271403	−	1.78521i
$885$	0.620727	+	0.0256626i	0.0208655	+	0.000862640i
$886$	−25.8747	+	19.5330i	−0.869277	+	0.656225i
$887$	−15.9094	+	18.3604i	−0.534186	+	0.616484i	−0.957125	−	0.289675i	$-0.906453\pi$
$887$	−15.9094	+	18.3604i	−0.534186	+	0.616484i	0.422939	+	0.906158i	$0.360998\pi$
$888$	29.8123	+	31.6068i	1.00044	+	1.06065i
$889$	−0.982893	−	6.83617i	−0.0329652	−	0.229278i
$890$	9.67958	−	3.65488i	0.324460	−	0.122512i
$891$	−23.5976	+	34.9649i	−0.790548	+	1.17137i
$892$	4.52007	−	10.1129i	0.151343	−	0.338604i
$893$	−9.13468	−	4.17167i	−0.305681	−	0.139600i
$894$	19.9159	−	0.679747i	0.666089	−	0.0227342i
$895$	11.4299	+	17.7853i	0.382059	+	0.594495i
$896$	20.3273	−	16.1328i	0.679088	−	0.538959i
$897$	19.6504	+	51.2735i	0.656109	+	1.71197i
$898$	49.1712	+	18.1141i	1.64086	+	0.604476i
$899$	29.3434	−	18.8579i	0.978658	−	0.628946i
$900$	5.29242	+	24.7050i	0.176414	+	0.823501i
$901$	14.3871	−	31.5034i	0.479305	−	1.04953i
$902$	20.7965	+	1.40303i	0.692449	+	0.0467159i
$903$	−10.0855	+	14.3530i	−0.335624	+	0.477639i
$904$	13.0365	−	36.2885i	0.433588	−	1.20694i
$905$	1.93144	−	0.277699i	0.0642033	−	0.00923103i
$906$	5.39119	−	49.4096i	0.179110	−	1.64153i
$907$	6.62920	+	5.74423i	0.220119	+	0.190734i	0.757939	−	0.652326i	$-0.226207\pi$
$907$	6.62920	+	5.74423i	0.220119	+	0.190734i	−0.537820	+	0.843060i	$0.680752\pi$
$908$	−10.6684	−	35.2769i	−0.354042	−	1.17071i
$909$	9.02512	+	16.9792i	0.299344	+	0.563164i
$910$	−9.19627	−	16.6813i	−0.304853	−	0.552978i
$911$	−11.8806	−	3.48847i	−0.393623	−	0.115578i	0.0789307	−	0.996880i	$-0.474849\pi$
$911$	−11.8806	−	3.48847i	−0.393623	−	0.115578i	−0.472553	+	0.881302i	$0.656668\pi$
$912$	20.2250	−	22.1871i	0.669717	−	0.734687i
$913$	9.19696	+	10.6139i	0.304375	+	0.351267i
$914$	6.95328	−	0.525531i	0.229994	−	0.0173830i
$915$	−4.03182	+	4.28198i	−0.133288	+	0.141558i
$916$	−15.7894	+	7.36541i	−0.521695	+	0.243360i
$917$	−0.242702	−	0.0348952i	−0.00801472	−	0.00115234i
$918$	−29.0065	+	7.00860i	−0.957356	+	0.231318i
$919$			11.3029i			0.372850i	0.982469	+	0.186425i	$0.0596901\pi$
$919$			11.3029i			0.372850i	−0.982469	+	0.186425i	$0.940310\pi$
$920$	0.751555	+	12.0260i	0.0247780	+	0.396486i
$921$	0.858593	−	0.502925i	0.0282916	−	0.0165720i
$922$	−39.2831	+	8.71177i	−1.29372	+	0.286907i
$923$	3.25543	−	22.6420i	0.107154	−	0.745271i
$924$	−21.1650	+	30.6436i	−0.696276	+	1.00810i
$925$	−35.8333	+	10.5216i	−1.17819	+	0.345949i
$926$	1.80409	+	23.8698i	0.0592859	+	0.784409i
$927$	4.04453	+	19.6533i	0.132840	+	0.645498i
$928$	−36.2358	−	1.85742i	−1.18950	−	0.0609729i
$929$	−4.12231	+	14.0393i	−0.135249	+	0.460615i	−0.999067	−	0.0431887i	$-0.986248\pi$
$929$	−4.12231	+	14.0393i	−0.135249	+	0.460615i	0.863818	+	0.503804i	$0.168067\pi$
$930$	−6.05400	+	10.1668i	−0.198518	+	0.333382i
$931$	4.07297	−	6.33766i	0.133486	−	0.207708i
$932$	3.60020	−	1.08876i	0.117928	−	0.0356637i
$933$	−12.7508	−	2.37456i	−0.417443	−	0.0777397i
$934$	−9.21728	+	12.4170i	−0.301599	+	0.406298i
$935$	2.40614	+	16.7351i	0.0786893	+	0.547296i
$936$	42.3587	−	36.7688i	1.38454	−	1.20182i
$937$	−23.5967	−	51.6695i	−0.770870	−	1.68797i	−0.724729	−	0.689034i	$-0.758035\pi$
$937$	−23.5967	−	51.6695i	−0.770870	−	1.68797i	−0.0461403	−	0.998935i	$-0.514692\pi$
$938$	−0.564466	+	8.36682i	−0.0184305	+	0.273187i
$939$	−40.7941	+	4.15407i	−1.33127	+	0.135563i
$940$	−2.72121	−	3.08968i	−0.0887562	−	0.100774i
$941$	29.1006	+	45.2815i	0.948654	+	1.47613i	0.878016	+	0.478632i	$0.158867\pi$
$941$	29.1006	+	45.2815i	0.948654	+	1.47613i	0.0706379	+	0.997502i	$0.477497\pi$
$942$	−14.5465	+	2.60071i	−0.473950	+	0.0847358i
$943$	−12.5122	−	8.41930i	−0.407453	−	0.274170i
$944$	0.255644	+	1.59478i	0.00832051	+	0.0519058i
$945$	−8.79737	+	5.89084i	−0.286179	+	0.191629i
$946$	−13.9223	+	25.7433i	−0.452653	+	0.836988i
$947$	9.26473	−	20.2869i	0.301063	−	0.659237i	−0.697278	−	0.716800i	$-0.745606\pi$
$947$	9.26473	−	20.2869i	0.301063	−	0.659237i	0.998342	+	0.0575635i	$0.0183332\pi$
$948$	40.3437	−	4.43760i	1.31030	−	0.144126i
$949$	32.2225	+	70.5574i	1.04599	+	2.29039i
$950$	9.11559	+	24.1417i	0.295749	+	0.783262i
$951$	−18.9775	−	23.8224i	−0.615388	−	0.772495i
$952$	−25.6743	+	5.91165i	−0.832110	+	0.191598i
$953$	23.4069	+	20.2822i	0.758223	+	0.657004i	0.945618	−	0.325280i	$-0.105459\pi$
$953$	23.4069	+	20.2822i	0.758223	+	0.657004i	−0.187394	+	0.982285i	$0.560004\pi$
$954$	35.8513	−	4.89137i	1.16073	−	0.158364i
$955$	−7.39050	+	11.4998i	−0.239151	+	0.372126i
$956$	9.67481	−	1.47085i	0.312906	−	0.0475708i
$957$	50.5240	−	12.5935i	1.63321	−	0.407090i
$958$	23.6566	+	5.04624i	0.764309	+	0.163037i
$959$	−27.1444	−	31.3263i	−0.876539	−	1.01158i
$960$	11.2821	−	4.92104i	0.364129	−	0.158826i
$961$	−1.36877	+	0.401908i	−0.0441540	+	0.0129648i
$962$	58.8629	+	58.3895i	1.89782	+	1.88255i
$963$	7.43769	+	5.69933i	0.239676	+	0.183658i
$964$	−34.6227	−	4.69300i	−1.11512	−	0.151151i
$965$			6.80359i			0.219015i
$966$	24.3630	−	11.5119i	0.783868	−	0.370389i
$967$		−	2.44181i		−	0.0785233i	−0.999229	−	0.0392617i	$-0.987499\pi$
$967$		−	2.44181i		−	0.0785233i	0.999229	−	0.0392617i	$-0.0125006\pi$
$968$	−14.5362	+	27.4049i	−0.467210	+	0.880828i
$969$	−28.2238	+	11.5053i	−0.906680	+	0.369604i
$970$	−5.43836	+	5.48245i	−0.174615	+	0.176031i
$971$	−39.4271	+	11.5769i	−1.26528	+	0.371519i	−0.844456	−	0.535625i	$-0.820076\pi$
$971$	−39.4271	+	11.5769i	−1.26528	+	0.371519i	−0.420821	+	0.907144i	$0.638258\pi$
$972$	−22.3883	−	21.6971i	−0.718105	−	0.695935i
$973$	12.4572	+	14.3764i	0.399359	+	0.460885i
$974$	−8.20756	+	38.4768i	−0.262987	+	1.23287i
$975$	11.6607	+	46.7817i	0.373442	+	1.49821i
$976$	−12.9950	−	8.05787i	−0.415959	−	0.257926i
$977$	4.98267	−	7.75318i	0.159410	−	0.248046i	−0.752356	−	0.658756i	$-0.771083\pi$
$977$	4.98267	−	7.75318i	0.159410	−	0.248046i	0.911766	+	0.410710i	$0.134719\pi$
$978$	−11.3951	+	27.3876i	−0.364376	+	0.875759i
$979$	−29.1739	−	25.2793i	−0.932401	−	0.807930i
$980$	2.58480	−	1.69079i	0.0825684	−	0.0540105i
$981$	14.2428	+	5.49540i	0.454737	+	0.175455i
$982$	−48.6292	+	18.3617i	−1.55182	+	0.585946i
$983$	22.6901	+	49.6845i	0.723703	+	1.58469i	0.808641	+	0.588303i	$0.200204\pi$
$983$	22.6901	+	49.6845i	0.723703	+	1.58469i	−0.0849376	+	0.996386i	$0.527069\pi$
$984$	−3.71289	+	14.9514i	−0.118363	+	0.476632i
$985$	0.507545	−	1.11137i	0.0161717	−	0.0354112i
$986$	32.4008	+	17.5227i	1.03185	+	0.558038i
$987$	−4.16747	+	8.20995i	−0.132652	+	0.261326i
$988$	37.1658	−	43.5980i	1.18240	−	1.38704i
$989$	18.0515	−	11.0700i	0.574004	−	0.352004i
$990$	−13.4325	+	11.4710i	−0.426913	+	0.364573i
$991$	11.4186	+	17.7677i	0.362725	+	0.564411i	0.973870	−	0.227108i	$-0.0729270\pi$
$991$	11.4186	+	17.7677i	0.362725	+	0.564411i	−0.611145	+	0.791519i	$0.709291\pi$
$992$	−29.0343	−	10.1665i	−0.921841	−	0.322788i
$993$	−0.726670	−	7.13610i	−0.0230602	−	0.226457i
$994$	−11.1999	−	0.755598i	−0.355239	−	0.0239661i
$995$	6.90939	+	15.1295i	0.219043	+	0.479636i
$996$	−8.91384	+	5.31845i	−0.282446	+	0.168522i
$997$	5.53154	+	38.4727i	0.175186	+	1.21844i	0.867718	+	0.497056i	$0.165586\pi$
$997$	5.53154	+	38.4727i	0.175186	+	1.21844i	−0.692533	+	0.721387i	$0.743505\pi$
$998$	45.2017	+	33.5537i	1.43083	+	1.06212i
$999$	29.5171	−	35.3904i	0.933878	−	1.11970i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	276.2.o.a.35.20	yes	440
3.2	odd	2	inner	276.2.o.a.35.25	yes	440
4.3	odd	2	inner	276.2.o.a.35.9	✓	440
12.11	even	2	inner	276.2.o.a.35.36	yes	440
23.2	even	11	inner	276.2.o.a.71.36	yes	440
69.2	odd	22	inner	276.2.o.a.71.9	yes	440
92.71	odd	22	inner	276.2.o.a.71.25	yes	440
276.71	even	22	inner	276.2.o.a.71.20	yes	440

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
276.2.o.a.35.9	✓	440	4.3	odd	2	inner
276.2.o.a.35.20	yes	440	1.1	even	1	trivial
276.2.o.a.35.25	yes	440	3.2	odd	2	inner
276.2.o.a.35.36	yes	440	12.11	even	2	inner
276.2.o.a.71.9	yes	440	69.2	odd	22	inner
276.2.o.a.71.20	yes	440	276.71	even	22	inner
276.2.o.a.71.25	yes	440	92.71	odd	22	inner
276.2.o.a.71.36	yes	440	23.2	even	11	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:	\( N \)	\(=\)	\( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	276.o (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.306189 - 1.38067i) q^{2} +(-1.60391 + 0.653824i) q^{3} +(-1.81250 + 0.845492i) q^{4} +(0.250263 + 0.852318i) q^{5} +(1.39381 + 2.01427i) q^{6} +(1.73353 - 1.50211i) q^{7} +(1.72231 + 2.24358i) q^{8} +(2.14503 - 2.09735i) q^{9} +O(q^{10})\)	\(q+(-0.306189 - 1.38067i) q^{2} +(-1.60391 + 0.653824i) q^{3} +(-1.81250 + 0.845492i) q^{4} +(0.250263 + 0.852318i) q^{5} +(1.39381 + 2.01427i) q^{6} +(1.73353 - 1.50211i) q^{7} +(1.72231 + 2.24358i) q^{8} +(2.14503 - 2.09735i) q^{9} +(1.10014 - 0.606501i) q^{10} +(-3.94293 - 2.53397i) q^{11} +(2.35427 - 2.54114i) q^{12} +(4.32888 - 4.99580i) q^{13} +(-2.60471 - 1.93350i) q^{14} +(-0.958664 - 1.20341i) q^{15} +(2.57029 - 3.06490i) q^{16} +(-3.69390 + 1.68695i) q^{17} +(-3.55253 - 2.31939i) q^{18} +(-3.94170 - 1.80011i) q^{19} +(-1.17423 - 1.33323i) q^{20} +(-1.79830 + 3.54267i) q^{21} +(-2.29129 + 6.21976i) q^{22} +(3.68990 - 3.06344i) q^{23} +(-4.22933 - 2.47240i) q^{24} +(3.54245 - 2.27660i) q^{25} +(-8.22301 - 4.44710i) q^{26} +(-2.06913 + 4.76642i) q^{27} +(-1.87199 + 4.18826i) q^{28} +(5.83444 - 2.66450i) q^{29} +(-1.36798 + 1.69207i) q^{30} +(5.38279 - 0.773929i) q^{31} +(-5.01861 - 2.61028i) q^{32} +(7.98087 + 1.48626i) q^{33} +(3.46015 + 4.58353i) q^{34} +(1.71411 + 1.10159i) q^{35} +(-2.11457 + 5.61503i) q^{36} +(-8.50962 - 2.49865i) q^{37} +(-1.27846 + 5.99336i) q^{38} +(-3.67675 + 10.8431i) q^{39} +(-1.48121 + 2.02944i) q^{40} +(-0.885944 - 3.01725i) q^{41} +(5.44187 + 1.39813i) q^{42} +(4.37045 + 0.628375i) q^{43} +(9.28901 + 1.25909i) q^{44} +(2.32443 + 1.30336i) q^{45} +(-5.35940 - 4.15654i) q^{46} +2.31745 q^{47} +(-2.11859 + 6.59633i) q^{48} +(-0.247420 + 1.72084i) q^{49} +(-4.22789 - 4.19389i) q^{50} +(4.82169 - 5.12086i) q^{51} +(-3.62218 + 12.7149i) q^{52} +(-6.44542 + 5.58499i) q^{53} +(7.21439 + 1.39735i) q^{54} +(1.17298 - 3.99479i) q^{55} +(6.35578 + 1.30220i) q^{56} +(7.49908 + 0.310033i) q^{57} +(-5.46523 - 7.23959i) q^{58} +(-0.264424 + 0.305161i) q^{59} +(2.75505 + 1.37063i) q^{60} +(-0.544015 - 3.78371i) q^{61} +(-2.71669 - 7.19489i) q^{62} +(0.568020 - 6.85788i) q^{63} +(-2.06729 + 7.72828i) q^{64} +(5.34137 + 2.43932i) q^{65} +(-0.391618 - 11.4740i) q^{66} +(-1.39761 - 2.17473i) q^{67} +(5.26888 - 6.18074i) q^{68} +(-3.91530 + 7.32601i) q^{69} +(0.996095 - 2.70392i) q^{70} +(2.91111 - 1.87085i) q^{71} +(8.39996 + 1.20025i) q^{72} +(-4.87452 + 10.6737i) q^{73} +(-0.844257 + 12.5140i) q^{74} +(-4.19327 + 5.96759i) q^{75} +(8.66630 - 0.0699746i) q^{76} +(-10.6415 + 1.53002i) q^{77} +(16.0965 + 1.75633i) q^{78} +(8.85470 + 7.67265i) q^{79} +(3.25552 + 1.42367i) q^{80} +(0.202282 - 8.99773i) q^{81} +(-3.89456 + 2.14704i) q^{82} +(-2.87504 - 0.844189i) q^{83} +(0.264115 - 7.94152i) q^{84} +(-2.36226 - 2.72619i) q^{85} +(-0.470604 - 6.22654i) q^{86} +(-7.61577 + 8.08830i) q^{87} +(-1.10580 - 13.2106i) q^{88} +(8.15231 + 1.17212i) q^{89} +(1.08779 - 3.60834i) q^{90} -15.1628i q^{91} +(-4.09781 + 8.67225i) q^{92} +(-8.12748 + 4.76071i) q^{93} +(-0.709577 - 3.19963i) q^{94} +(0.547807 - 3.81008i) q^{95} +(9.75604 + 0.905349i) q^{96} +(-5.89808 + 1.73183i) q^{97} +(2.45167 - 0.185298i) q^{98} +(-13.7723 + 2.83426i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9}+O(q^{10}) \) 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9	\( 440 q - 22 q^{4} - 8 q^{6} - 18 q^{9} - 30 q^{10} - 18 q^{12} - 36 q^{13} - 30 q^{16} - 10 q^{18} - 22 q^{21} - 48 q^{22} - 14 q^{24} - 8 q^{25} - 34 q^{28} - 21 q^{30} - 6 q^{33} - 32 q^{34} + 22 q^{36} - 36 q^{37} - 168 q^{40} + q^{42} - 44 q^{45} - 110 q^{46} - 6 q^{48} - 16 q^{49} - 94 q^{52} + 21 q^{54} - 46 q^{57} - 116 q^{58} - 47 q^{60} - 68 q^{61} - 28 q^{64} - 20 q^{66} - 22 q^{69} - 44 q^{70} - 23 q^{72} - 36 q^{73} - 74 q^{76} + 134 q^{78} - 130 q^{81} + 36 q^{82} + 105 q^{84} - 60 q^{85} + 38 q^{88} + 162 q^{90} - 332 q^{93} - 40 q^{94} + 225 q^{96} - 36 q^{97}+O(q^{100}) \) 440 * q - 22 * q^4 - 8 * q^6 - 18 * q^9 - 30 * q^10 - 18 * q^12 - 36 * q^13 - 30 * q^16 - 10 * q^18 - 22 * q^21 - 48 * q^22 - 14 * q^24 - 8 * q^25 - 34 * q^28 - 21 * q^30 - 6 * q^33 - 32 * q^34 + 22 * q^36 - 36 * q^37 - 168 * q^40 + q^42 - 44 * q^45 - 110 * q^46 - 6 * q^48 - 16 * q^49 - 94 * q^52 + 21 * q^54 - 46 * q^57 - 116 * q^58 - 47 * q^60 - 68 * q^61 - 28 * q^64 - 20 * q^66 - 22 * q^69 - 44 * q^70 - 23 * q^72 - 36 * q^73 - 74 * q^76 + 134 * q^78 - 130 * q^81 + 36 * q^82 + 105 * q^84 - 60 * q^85 + 38 * q^88 + 162 * q^90 - 332 * q^93 - 40 * q^94 + 225 * q^96 - 36 * q^97

Introduction

L-functions

Modular forms

Varieties

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Representations

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Database

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