LMFDB - Embedded newform 483.2.u.a.113.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(113,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 13]))

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

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

chi := DirichletCharacter("483.113");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.u (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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$48$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			113.4
Character	$\chi$	$=$	483.113
Dual form			483.2.u.a.218.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39646 + 2.17293i) q^{2} +(-1.51591 + 0.837856i) q^{3} +(-1.94070 - 4.24954i) q^{4} +(3.72219 + 1.09293i) q^{5} +(0.296307 - 4.46400i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(6.83069 + 0.982105i) q^{8} +(1.59599 - 2.54024i) q^{9} +O(q^{10})$	\(q+(-1.39646 + 2.17293i) q^{2} +(-1.51591 + 0.837856i) q^{3} +(-1.94070 - 4.24954i) q^{4} +(3.72219 + 1.09293i) q^{5} +(0.296307 - 4.46400i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(6.83069 + 0.982105i) q^{8} +(1.59599 - 2.54024i) q^{9} +(-7.57275 + 6.56182i) q^{10} +(-1.89359 + 1.21694i) q^{11} +(6.50243 + 4.81591i) q^{12} +(0.129908 + 0.149921i) q^{13} +(2.47834 - 0.727705i) q^{14} +(-6.55825 + 1.46187i) q^{15} +(-5.55417 + 6.40986i) q^{16} +(-2.83910 + 6.21676i) q^{17} +(3.29102 + 7.01531i) q^{18} +(-5.95643 + 2.72021i) q^{19} +(-2.57919 - 17.9387i) q^{20} +(1.69433 + 0.359503i) q^{21} -5.81404i q^{22} +(-4.79370 - 0.143129i) q^{23} +(-11.1776 + 4.23435i) q^{24} +(8.45394 + 5.43302i) q^{25} +(-0.507179 + 0.0729213i) q^{26} +(-0.291036 + 5.18800i) q^{27} +(-1.31617 + 4.48247i) q^{28} +(-1.83008 - 0.835770i) q^{29} +(5.98177 - 16.2920i) q^{30} +(0.105665 - 0.734919i) q^{31} +(-2.28357 - 7.77711i) q^{32} +(1.85091 - 3.43133i) q^{33} +(-9.54390 - 14.8506i) q^{34} +(-2.09733 - 3.26350i) q^{35} +(-13.8922 - 1.85240i) q^{36} +(1.24652 + 4.24526i) q^{37} +(2.40707 - 16.7416i) q^{38} +(-0.322541 - 0.118424i) q^{39} +(24.3518 + 11.1211i) q^{40} +(-0.682861 + 2.32561i) q^{41} +(-3.14723 + 3.17963i) q^{42} +(6.29071 - 0.904467i) q^{43} +(8.84632 + 5.68518i) q^{44} +(8.71691 - 7.71094i) q^{45} +(7.00520 - 10.2165i) q^{46} -1.21408i q^{47} +(3.04911 - 14.3704i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-23.6111 + 10.7828i) q^{50} +(-0.904920 - 11.8028i) q^{51} +(0.384985 - 0.843000i) q^{52} +(-2.69685 + 3.11233i) q^{53} +(-10.8667 - 7.87721i) q^{54} +(-8.37835 + 2.46011i) q^{55} +(-4.51915 - 5.21538i) q^{56} +(6.75030 - 9.11424i) q^{57} +(4.37169 - 2.80952i) q^{58} +(-8.76537 + 7.59524i) q^{59} +(18.9398 + 25.0325i) q^{60} +(-6.71757 - 0.965841i) q^{61} +(1.44937 + 1.25589i) q^{62} +(-2.86967 + 0.874630i) q^{63} +(3.81221 + 1.11937i) q^{64} +(0.319687 + 0.700017i) q^{65} +(4.87133 + 8.81359i) q^{66} +(4.96308 - 7.72270i) q^{67} +31.9282 q^{68} +(7.38675 - 3.79946i) q^{69} +10.0202 q^{70} +(2.46403 - 3.83411i) q^{71} +(13.3965 - 15.7841i) q^{72} +(4.83826 + 10.5943i) q^{73} +(-10.9654 - 3.21972i) q^{74} +(-17.3675 - 1.15280i) q^{75} +(23.1193 + 20.0330i) q^{76} +(2.22801 + 0.320339i) q^{77} +(0.707742 - 0.535486i) q^{78} +(-5.34425 + 4.63082i) q^{79} +(-27.6793 + 17.7884i) q^{80} +(-3.90561 - 8.10840i) q^{81} +(-4.09980 - 4.73142i) q^{82} +(14.3802 - 4.22240i) q^{83} +(-1.76046 - 7.89781i) q^{84} +(-17.3622 + 20.0370i) q^{85} +(-6.81936 + 14.9323i) q^{86} +(3.47450 - 0.266389i) q^{87} +(-14.1297 + 6.45282i) q^{88} +(-2.60651 - 18.1287i) q^{89} +(4.58253 + 29.7092i) q^{90} -0.198374i q^{91} +(8.69489 + 20.6488i) q^{92} +(0.455577 + 1.20261i) q^{93} +(2.63811 + 1.69541i) q^{94} +(-25.1440 + 3.61516i) q^{95} +(9.97779 + 9.87613i) q^{96} +(-1.53315 + 5.22145i) q^{97} +(-2.34955 - 1.07300i) q^{98} +(0.0691497 + 6.75240i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q + 4 q^{3} + 40 q^{4} - 6 q^{6} - 4 q^{9}+O(q^{10}) $ 480 * q + 4 * q^3 + 40 * q^4 - 6 * q^6 - 4 * q^9	$ 480 q + 4 q^{3} + 40 q^{4} - 6 q^{6} - 4 q^{9} - 22 q^{12} + 8 q^{13} - 22 q^{15} - 24 q^{16} - 30 q^{18} - 120 q^{24} - 88 q^{25} + 16 q^{27} - 44 q^{30} + 8 q^{31} - 22 q^{33} - 44 q^{34} + 10 q^{36} - 44 q^{37} - 308 q^{40} - 44 q^{43} - 184 q^{46} + 98 q^{48} + 48 q^{49} - 28 q^{52} + 28 q^{54} - 44 q^{55} + 66 q^{57} + 4 q^{58} + 220 q^{60} + 84 q^{64} + 176 q^{66} + 44 q^{67} + 102 q^{69} - 8 q^{70} - 60 q^{72} + 4 q^{73} - 8 q^{75} + 176 q^{76} + 18 q^{78} - 16 q^{81} + 20 q^{82} - 154 q^{84} + 84 q^{85} + 28 q^{87} - 418 q^{90} - 188 q^{93} + 12 q^{94} - 412 q^{96} - 132 q^{97}+O(q^{100}) $ 480 * q + 4 * q^3 + 40 * q^4 - 6 * q^6 - 4 * q^9 - 22 * q^12 + 8 * q^13 - 22 * q^15 - 24 * q^16 - 30 * q^18 - 120 * q^24 - 88 * q^25 + 16 * q^27 - 44 * q^30 + 8 * q^31 - 22 * q^33 - 44 * q^34 + 10 * q^36 - 44 * q^37 - 308 * q^40 - 44 * q^43 - 184 * q^46 + 98 * q^48 + 48 * q^49 - 28 * q^52 + 28 * q^54 - 44 * q^55 + 66 * q^57 + 4 * q^58 + 220 * q^60 + 84 * q^64 + 176 * q^66 + 44 * q^67 + 102 * q^69 - 8 * q^70 - 60 * q^72 + 4 * q^73 - 8 * q^75 + 176 * q^76 + 18 * q^78 - 16 * q^81 + 20 * q^82 - 154 * q^84 + 84 * q^85 + 28 * q^87 - 418 * q^90 - 188 * q^93 + 12 * q^94 - 412 * q^96 - 132 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$1$	$e\left(\frac{13}{22}\right)$

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 $

$2$	−1.39646	+	2.17293i	−0.987444	+	1.53649i	−0.150932	+	0.988544i	$0.548227\pi$
$2$	−1.39646	+	2.17293i	−0.987444	+	1.53649i	−0.836512	+	0.547948i	$0.815409\pi$
$3$	−1.51591	+	0.837856i	−0.875214	+	0.483737i
$3$	−1.51591	+	0.837856i	−0.875214	+	0.483737i
$4$	−1.94070	−	4.24954i	−0.970349	−	2.12477i
$5$	3.72219	+	1.09293i	1.66462	+	0.488775i	0.972479	−	0.232992i	$-0.0748515\pi$
$5$	3.72219	+	1.09293i	1.66462	+	0.488775i	0.692136	+	0.721767i	$0.256670\pi$
$6$	0.296307	−	4.46400i	0.120967	−	1.82242i
$7$	−0.755750	−	0.654861i	−0.285646	−	0.247514i
$7$	−0.755750	−	0.654861i	−0.285646	−	0.247514i
$8$	6.83069	+	0.982105i	2.41501	+	0.347227i
$9$	1.59599	−	2.54024i	0.531998	−	0.846746i
$10$	−7.57275	+	6.56182i	−2.39471	+	2.07503i
$11$	−1.89359	+	1.21694i	−0.570940	+	0.366921i	−0.794031	−	0.607877i	$-0.792021\pi$
$11$	−1.89359	+	1.21694i	−0.570940	+	0.366921i	0.223092	+	0.974797i	$0.428385\pi$
$12$	6.50243	+	4.81591i	1.87709	+	1.39023i
$13$	0.129908	+	0.149921i	0.0360299	+	0.0415807i	0.773479	−	0.633823i	$-0.218515\pi$
$13$	0.129908	+	0.149921i	0.0360299	+	0.0415807i	−0.737449	+	0.675403i	$0.763970\pi$
$14$	2.47834	−	0.727705i	0.662363	−	0.194487i
$15$	−6.55825	+	1.46187i	−1.69333	+	0.377453i
$16$	−5.55417	+	6.40986i	−1.38854	+	1.60246i
$17$	−2.83910	+	6.21676i	−0.688583	+	1.50779i	0.164703	+	0.986343i	$0.447333\pi$
$17$	−2.83910	+	6.21676i	−0.688583	+	1.50779i	−0.853286	+	0.521443i	$0.825394\pi$
$18$	3.29102	+	7.01531i	0.775701	+	1.65352i
$19$	−5.95643	+	2.72021i	−1.36650	+	0.624059i	−0.957489	−	0.288470i	$-0.906853\pi$
$19$	−5.95643	+	2.72021i	−1.36650	+	0.624059i	−0.409011	+	0.912530i	$0.634126\pi$
$20$	−2.57919	−	17.9387i	−0.576724	−	4.01120i
$21$	1.69433	+	0.359503i	0.369733	+	0.0784501i
$22$		−	5.81404i		−	1.23956i
$23$	−4.79370	−	0.143129i	−0.999555	−	0.0298444i
$23$	−4.79370	−	0.143129i	−0.999555	−	0.0298444i
$24$	−11.1776	+	4.23435i	−2.28162	+	0.864333i
$25$	8.45394	+	5.43302i	1.69079	+	1.08660i
$26$	−0.507179	+	0.0729213i	−0.0994660	+	0.0143010i
$27$	−0.291036	+	5.18800i	−0.0560099	+	0.998430i
$28$	−1.31617	+	4.48247i	−0.248733	+	0.847108i
$29$	−1.83008	−	0.835770i	−0.339837	−	0.155199i	0.238184	−	0.971220i	$-0.423448\pi$
$29$	−1.83008	−	0.835770i	−0.339837	−	0.155199i	−0.578022	+	0.816021i	$0.696175\pi$
$30$	5.98177	−	16.2920i	1.09212	−	2.97451i
$31$	0.105665	−	0.734919i	0.0189781	−	0.131995i	−0.978130	−	0.207996i	$-0.933306\pi$
$31$	0.105665	−	0.734919i	0.0189781	−	0.131995i	0.997108	+	0.0760004i	$0.0242150\pi$
$32$	−2.28357	−	7.77711i	−0.403681	−	1.37481i
$33$	1.85091	−	3.43133i	0.322201	−	0.597318i
$34$	−9.54390	−	14.8506i	−1.63677	−	2.54686i
$35$	−2.09733	−	3.26350i	−0.354513	−	0.551633i
$36$	−13.8922	−	1.85240i	−2.31536	−	0.308733i
$37$	1.24652	+	4.24526i	0.204927	+	0.697916i	0.996250	+	0.0865185i	$0.0275742\pi$
$37$	1.24652	+	4.24526i	0.204927	+	0.697916i	−0.791324	+	0.611398i	$0.790608\pi$
$38$	2.40707	−	16.7416i	0.390479	−	2.71584i
$39$	−0.322541	−	0.118424i	−0.0516480	−	0.0189630i
$40$	24.3518	+	11.1211i	3.85035	+	1.75840i
$41$	−0.682861	+	2.32561i	−0.106645	+	0.363199i	−0.995473	−	0.0950409i	$-0.969702\pi$
$41$	−0.682861	+	2.32561i	−0.106645	+	0.363199i	0.888828	+	0.458240i	$0.151520\pi$
$42$	−3.14723	+	3.17963i	−0.485629	+	0.490628i
$43$	6.29071	−	0.904467i	0.959324	−	0.137930i	0.355174	−	0.934800i	$-0.384422\pi$
$43$	6.29071	−	0.904467i	0.959324	−	0.137930i	0.604150	+	0.796870i	$0.293513\pi$
$44$	8.84632	+	5.68518i	1.33363	+	0.857073i
$45$	8.71691	−	7.71094i	1.29944	−	1.14948i
$46$	7.00520	−	10.2165i	1.03286	−	1.50634i
$47$		−	1.21408i		−	0.177092i	−0.996072	−	0.0885459i	$-0.971778\pi$
$47$		−	1.21408i		−	0.177092i	0.996072	−	0.0885459i	$-0.0282220\pi$
$48$	3.04911	−	14.3704i	0.440101	−	2.07419i
$49$	0.142315	+	0.989821i	0.0203307	+	0.141403i
$50$	−23.6111	+	10.7828i	−3.33912	+	1.52492i
$51$	−0.904920	−	11.8028i	−0.126714	−	1.65273i
$52$	0.384985	−	0.843000i	0.0533878	−	0.116903i
$53$	−2.69685	+	3.11233i	−0.370440	+	0.427511i	−0.910110	−	0.414366i	$-0.864003\pi$
$53$	−2.69685	+	3.11233i	−0.370440	+	0.427511i	0.539670	+	0.841876i	$0.318549\pi$
$54$	−10.8667	−	7.87721i	−1.47877	−	1.07195i
$55$	−8.37835	+	2.46011i	−1.12974	+	0.331721i
$56$	−4.51915	−	5.21538i	−0.603897	−	0.696934i
$57$	6.75030	−	9.11424i	0.894099	−	1.20721i
$58$	4.37169	−	2.80952i	0.574032	−	0.368908i
$59$	−8.76537	+	7.59524i	−1.14115	+	0.988815i	−0.999999	−	0.00117207i	$-0.999627\pi$
$59$	−8.76537	+	7.59524i	−1.14115	+	0.988815i	−0.141155	+	0.989988i	$0.545081\pi$
$60$	18.9398	+	25.0325i	2.44512	+	3.23168i
$61$	−6.71757	−	0.965841i	−0.860097	−	0.123663i	−0.301867	−	0.953350i	$-0.597610\pi$
$61$	−6.71757	−	0.965841i	−0.860097	−	0.123663i	−0.558229	+	0.829687i	$0.688519\pi$
$62$	1.44937	+	1.25589i	0.184070	+	0.159498i
$63$	−2.86967	+	0.874630i	−0.361545	+	0.110193i
$64$	3.81221	+	1.11937i	0.476526	+	0.139921i
$65$	0.319687	+	0.700017i	0.0396523	+	0.0868264i
$66$	4.87133	+	8.81359i	0.599620	+	1.08488i
$67$	4.96308	−	7.72270i	0.606337	−	0.943478i	−0.393373	−	0.919379i	$-0.628692\pi$
$67$	4.96308	−	7.72270i	0.606337	−	0.943478i	0.999710	−	0.0240994i	$-0.00767181\pi$
$68$	31.9282			3.87186
$69$	7.38675	−	3.79946i	0.889261	−	0.457401i
$70$	10.0202			1.19764
$71$	2.46403	−	3.83411i	0.292427	−	0.455026i	−0.663691	−	0.748007i	$-0.731011\pi$
$71$	2.46403	−	3.83411i	0.292427	−	0.455026i	0.956118	+	0.292981i	$0.0946474\pi$
$72$	13.3965	−	15.7841i	1.57880	−	1.86018i
$73$	4.83826	+	10.5943i	0.566276	+	1.23997i	0.948757	+	0.316008i	$0.102343\pi$
$73$	4.83826	+	10.5943i	0.566276	+	1.23997i	−0.382481	+	0.923963i	$0.624930\pi$
$74$	−10.9654	−	3.21972i	−1.27470	−	0.374285i
$75$	−17.3675	−	1.15280i	−2.00543	−	0.133114i
$76$	23.1193	+	20.0330i	2.65196	+	2.29794i
$77$	2.22801	+	0.320339i	0.253905	+	0.0365060i
$78$	0.707742	−	0.535486i	0.0801360	−	0.0606318i
$79$	−5.34425	+	4.63082i	−0.601275	+	0.521007i	−0.901454	−	0.432875i	$-0.857499\pi$
$79$	−5.34425	+	4.63082i	−0.601275	+	0.521007i	0.300179	+	0.953883i	$0.402954\pi$
$80$	−27.6793	+	17.7884i	−3.09463	+	1.98880i
$81$	−3.90561	−	8.10840i	−0.433957	−	0.900934i
$82$	−4.09980	−	4.73142i	−0.452747	−	0.522498i
$83$	14.3802	−	4.22240i	1.57843	−	0.463469i	0.628989	−	0.777414i	$-0.283469\pi$
$83$	14.3802	−	4.22240i	1.57843	−	0.463469i	0.949441	+	0.313945i	$0.101651\pi$
$84$	−1.76046	−	7.89781i	−0.192082	−	0.861722i
$85$	−17.3622	+	20.0370i	−1.88319	+	2.17332i
$86$	−6.81936	+	14.9323i	−0.735350	+	1.61019i
$87$	3.47450	−	0.266389i	0.372505	−	0.0285599i
$88$	−14.1297	+	6.45282i	−1.50623	+	0.687873i
$89$	−2.60651	−	18.1287i	−0.276289	−	1.92163i	−0.376003	−	0.926619i	$-0.622702\pi$
$89$	−2.60651	−	18.1287i	−0.276289	−	1.92163i	0.0997134	−	0.995016i	$-0.468207\pi$
$90$	4.58253	+	29.7092i	0.483041	+	3.13163i
$91$		−	0.198374i		−	0.0207953i
$92$	8.69489	+	20.6488i	0.906505	+	2.15278i
$93$	0.455577	+	1.20261i	0.0472411	+	0.124705i
$94$	2.63811	+	1.69541i	0.272100	+	0.174868i
$95$	−25.1440	+	3.61516i	−2.57972	+	0.370908i
$96$	9.97779	+	9.87613i	1.01835	+	1.00798i
$97$	−1.53315	+	5.22145i	−0.155668	+	0.530158i	−0.999984	−	0.00568882i	$-0.998189\pi$
$97$	−1.53315	+	5.22145i	−0.155668	+	0.530158i	0.844316	+	0.535846i	$0.180007\pi$
$98$	−2.34955	−	1.07300i	−0.237340	−	0.108390i
$99$	0.0691497	+	6.75240i	0.00694981	+	0.678642i
$100$	6.68126	−	46.4692i	0.668126	−	4.64692i
$101$	1.35121	+	4.60181i	0.134451	+	0.457898i	0.999003	−	0.0446457i	$-0.0142159\pi$
$101$	1.35121	+	4.60181i	0.134451	+	0.457898i	−0.864552	+	0.502543i	$0.832398\pi$
$102$	26.9104	+	14.5158i	2.66453	+	1.43728i
$103$	4.27525	+	6.65242i	0.421253	+	0.655482i	0.985412	−	0.170184i	$-0.0544361\pi$
$103$	4.27525	+	6.65242i	0.421253	+	0.655482i	−0.564160	+	0.825666i	$0.690800\pi$
$104$	0.740121	+	1.15165i	0.0725748	+	0.112929i
$105$	5.91371	+	3.18993i	0.577119	+	0.311306i
$106$	−2.99683	−	10.2063i	−0.291078	−	0.991322i
$107$	−1.26583	+	8.80403i	−0.122372	+	0.851118i	0.832484	+	0.554049i	$0.186918\pi$
$107$	−1.26583	+	8.80403i	−0.122372	+	0.851118i	−0.954856	+	0.297068i	$0.903991\pi$
$108$	22.6114	−	8.83157i	2.17578	−	0.849818i
$109$	−11.9513	−	5.45799i	−1.14473	−	0.522780i	−0.249495	−	0.968376i	$-0.580265\pi$
$109$	−11.9513	−	5.45799i	−1.14473	−	0.522780i	−0.895234	+	0.445596i	$0.852992\pi$
$110$	6.35437	−	21.6410i	0.605865	−	2.06339i
$111$	−5.44653	−	5.39104i	−0.516962	−	0.511695i
$112$	8.39513	−	1.20704i	0.793265	−	0.114054i
$113$	−6.09224	−	3.91524i	−0.573109	−	0.368315i	0.221755	−	0.975102i	$-0.428822\pi$
$113$	−6.09224	−	3.91524i	−0.573109	−	0.368315i	−0.794864	+	0.606787i	$0.792458\pi$
$114$	10.3781	+	27.3956i	0.971999	+	2.56583i
$115$	−17.6866	−	5.77195i	−1.64929	−	0.538237i
$116$			9.39897i			0.872672i
$117$	0.588168	−	0.0907226i	0.0543761	−	0.00838731i
$118$	−4.26345	−	29.6529i	−0.392482	−	2.72977i
$119$	6.21676	−	2.83910i	0.569890	−	0.260260i
$120$	−46.2331	+	3.54468i	−4.22048	+	0.323583i
$121$	−2.46481	+	5.39718i	−0.224074	+	0.490653i
$122$	11.4795	−	13.2480i	1.03931	−	1.19942i
$123$	−0.913369	−	4.09756i	−0.0823557	−	0.369465i
$124$	−3.32813	+	0.977228i	−0.298875	+	0.0877576i
$125$	12.8272	+	14.8033i	1.14730	+	1.32405i
$126$	2.10687	−	7.45698i	0.187695	−	0.664320i
$127$	−8.25040	+	5.30221i	−0.732104	+	0.470495i	−0.852828	−	0.522191i	$-0.825115\pi$
$127$	−8.25040	+	5.30221i	−0.732104	+	0.470495i	0.120724	+	0.992686i	$0.461478\pi$
$128$	4.49547	−	3.89535i	0.397347	−	0.344303i
$129$	−8.77836	+	6.64180i	−0.772892	+	0.584778i
$130$	−1.96752	−	0.282886i	−0.172563	−	0.0248107i
$131$	7.02679	+	6.08874i	0.613933	+	0.531976i	0.905375	−	0.424612i	$-0.139590\pi$
$131$	7.02679	+	6.08874i	0.613933	+	0.531976i	−0.291442	+	0.956588i	$0.594135\pi$
$132$	−18.1736	−	1.20631i	−1.58181	−	0.104996i
$133$	6.28293	+	1.84484i	0.544799	+	0.159968i
$134$	9.85016	+	21.5688i	0.850924	+	1.86326i
$135$	−6.75343	+	18.9926i	−0.581243	+	1.63463i
$136$	−25.4985	+	39.6765i	−2.18648	+	3.40223i
$137$	−3.01098			−0.257245			−0.128623	−	0.991694i	$-0.541056\pi$
$137$	−3.01098			−0.257245			−0.128623	+	0.991694i	$0.541056\pi$
$138$	−2.05933	+	21.3567i	−0.175302	+	1.81800i
$139$	17.6563			1.49759			0.748795	−	0.662802i	$-0.230633\pi$
$139$	17.6563			1.49759			0.748795	+	0.662802i	$0.230633\pi$
$140$	−9.79810	+	15.2461i	−0.828090	+	1.28853i
$141$	1.01723	+	1.84044i	0.0856658	+	0.154993i
$142$	4.89034	+	10.7083i	0.410388	+	0.898624i
$143$	−0.428437	−	0.125801i	−0.0358277	−	0.0105200i
$144$	7.41813	+	24.3390i	0.618178	+	2.02825i
$145$	−5.89847	−	5.11105i	−0.489841	−	0.424450i
$146$	−29.7771	−	4.28130i	−2.46437	−	0.354323i
$147$	−1.04507	−	1.38125i	−0.0861955	−	0.113923i
$148$	15.6213	−	13.5359i	1.28406	−	1.11264i
$149$	17.4961	−	11.2441i	1.43334	−	0.921150i	0.433538	−	0.901135i	$-0.357265\pi$
$149$	17.4961	−	11.2441i	1.43334	−	0.921150i	0.999800	−	0.0200151i	$-0.00637144\pi$
$150$	26.7580	−	36.1286i	2.18478	−	2.94989i
$151$	2.47900	+	2.86092i	0.201738	+	0.232818i	0.847599	−	0.530637i	$-0.178047\pi$
$151$	2.47900	+	2.86092i	0.201738	+	0.232818i	−0.645861	+	0.763455i	$0.723502\pi$
$152$	−43.3581	+	12.7311i	−3.51681	+	1.03263i
$153$	11.2609	+	17.1339i	0.910387	+	1.38519i
$154$	−3.80739	+	4.39396i	−0.306808	+	0.354075i
$155$	1.19653	−	2.62003i	0.0961073	−	0.210446i
$156$	0.122708	+	1.60048i	0.00982452	+	0.128141i
$157$	6.87976	−	3.14188i	0.549065	−	0.250750i	−0.121511	−	0.992590i	$-0.538774\pi$
$157$	6.87976	−	3.14188i	0.549065	−	0.250750i	0.670576	+	0.741840i	$0.266047\pi$
$158$	−2.59942	−	18.0794i	−0.206799	−	1.43832i
$159$	1.48051	−	6.97759i	0.117412	−	0.553359i
$160$		−	31.4437i		−	2.48584i
$161$	3.52910	+	3.24737i	0.278132	+	0.255929i
$162$	23.0730	+	2.83642i	1.81279	+	0.222850i
$163$	−1.05026	−	0.674964i	−0.0822630	−	0.0528672i	0.498863	−	0.866681i	$-0.333751\pi$
$163$	−1.05026	−	0.674964i	−0.0822630	−	0.0528672i	−0.581126	+	0.813814i	$0.697388\pi$
$164$	11.2080	−	1.61147i	0.875197	−	0.125834i
$165$	10.6396	−	10.7492i	0.828295	−	0.836821i
$166$	−10.9063	+	37.1435i	−0.846495	+	2.88290i
$167$	4.66808	+	2.13184i	0.361227	+	0.164967i	0.587757	−	0.809037i	$-0.300011\pi$
$167$	4.66808	+	2.13184i	0.361227	+	0.164967i	−0.226530	+	0.974004i	$0.572738\pi$
$168$	11.2204	+	4.11967i	0.865672	+	0.317839i
$169$	1.84449	−	12.8287i	0.141884	−	0.986825i
$170$	−19.2935	−	65.7076i	−1.47974	−	5.03955i
$171$	−2.59645	+	19.4722i	−0.198555	+	1.48908i
$172$	−16.0519	−	24.9773i	−1.22395	−	1.90450i
$173$	3.81846	+	5.94164i	0.290312	+	0.451734i	0.955521	−	0.294923i	$-0.0952939\pi$
$173$	3.81846	+	5.94164i	0.290312	+	0.451734i	−0.665209	+	0.746657i	$0.731658\pi$
$174$	−4.27314	+	7.92184i	−0.323946	+	0.600553i
$175$	−2.83119	−	9.64216i	−0.214018	−	0.728879i
$176$	2.71694	−	18.8967i	0.204797	−	1.42440i
$177$	6.92383	−	18.8578i	0.520427	−	1.41744i
$178$	43.0322	+	19.6521i	3.22540	+	1.47299i
$179$	2.29837	−	7.82753i	0.171788	−	0.585057i	−0.827919	−	0.560848i	$-0.810475\pi$
$179$	2.29837	−	7.82753i	0.171788	−	0.585057i	0.999707	−	0.0242091i	$-0.00770674\pi$
$180$	−49.6848	−	22.0782i	−3.70329	−	1.64561i
$181$	25.2280	−	3.62723i	1.87518	−	0.269610i	0.891971	−	0.452093i	$-0.149323\pi$
$181$	25.2280	−	3.62723i	1.87518	−	0.269610i	0.983209	+	0.182483i	$0.0584136\pi$
$182$	0.431054	+	0.277021i	0.0319518	+	0.0205342i
$183$	10.9925	−	4.16423i	0.812589	−	0.307829i
$184$	−32.6037	−	5.68558i	−2.40358	−	0.419147i
$185$			17.1640i			1.26192i
$186$	−3.24937	−	0.689452i	−0.238256	−	0.0505531i
$187$	−2.18931	−	15.2270i	−0.160099	−	1.11351i
$188$	−5.15928	+	2.35616i	−0.376279	+	0.171841i
$189$	3.61736	−	3.73024i	0.263125	−	0.271335i
$190$	27.2570	−	59.6846i	1.97743	−	4.32997i
$191$	−2.02263	+	2.33424i	−0.146353	+	0.168900i	−0.824193	−	0.566309i	$-0.808371\pi$
$191$	−2.02263	+	2.33424i	−0.146353	+	0.168900i	0.677840	+	0.735209i	$0.262916\pi$
$192$	−6.71685	+	1.49722i	−0.484747	+	0.108053i
$193$	1.48572	−	0.436246i	0.106944	−	0.0314016i	−0.227823	−	0.973703i	$-0.573161\pi$
$193$	1.48572	−	0.436246i	0.106944	−	0.0314016i	0.334767	+	0.942301i	$0.391342\pi$
$194$	−9.20485	−	10.6230i	−0.660869	−	0.762684i
$195$	−1.07113	−	0.793314i	−0.0767053	−	0.0568104i
$196$	3.93009	−	2.52572i	0.280721	−	0.180408i
$197$	8.33492	−	7.22225i	0.593838	−	0.514564i	−0.305284	−	0.952261i	$-0.598751\pi$
$197$	8.33492	−	7.22225i	0.593838	−	0.514564i	0.899122	+	0.437697i	$0.144206\pi$
$198$	−14.7690	−	9.27917i	−1.04959	−	0.659442i
$199$	−6.47983	−	0.931660i	−0.459343	−	0.0660436i	−0.0912409	−	0.995829i	$-0.529083\pi$
$199$	−6.47983	−	0.931660i	−0.459343	−	0.0660436i	−0.368102	+	0.929785i	$0.619992\pi$
$200$	52.4105	+	45.4140i	3.70598	+	3.21125i
$201$	−1.05309	+	15.8653i	−0.0742792	+	1.11905i
$202$	−11.8863	−	3.49014i	−0.836319	−	0.245565i
$203$	0.835770	+	1.83008i	0.0586595	+	0.128446i
$204$	−48.4004	+	26.7512i	−3.38871	+	1.87296i
$205$	−5.08348	+	7.91005i	−0.355045	+	0.552462i
$206$	−20.4254			−1.42311
$207$	−8.01429	+	11.9487i	−0.557031	+	0.830491i
$208$	−1.68250			−0.116661
$209$	7.96873	−	12.3996i	0.551208	−	0.857697i
$210$	−15.1897	+	8.39547i	−1.04819	+	0.579343i
$211$	2.49635	+	5.46625i	0.171856	+	0.376312i	0.975887	−	0.218275i	$-0.0700429\pi$
$211$	2.49635	+	5.46625i	0.171856	+	0.376312i	−0.804031	+	0.594587i	$0.797316\pi$
$212$	18.4597	+	5.42026i	1.26782	+	0.372265i
$213$	−0.522830	+	7.87669i	−0.0358237	+	0.539702i
$214$	−17.3629	−	15.0450i	−1.18690	−	1.02845i
$215$	24.4037	+	3.50873i	1.66432	+	0.239293i
$216$	−7.08314	+	35.1518i	−0.481946	+	2.39178i
$217$	−0.561126	+	0.486219i	−0.0380917	+	0.0330067i
$218$	28.5493	−	18.3475i	1.93360	−	1.24265i
$219$	−16.2109	−	12.0063i	−1.09543	−	0.811311i
$220$	26.7142	+	30.8298i	1.80107	+	2.07854i
$221$	−1.30085	+	0.381963i	−0.0875044	+	0.0256936i
$222$	19.3202	−	4.30657i	1.29669	−	0.289038i
$223$	−8.45655	+	9.75937i	−0.566292	+	0.653536i	−0.964600	−	0.263716i	$-0.915052\pi$
$223$	−8.45655	+	9.75937i	−0.566292	+	0.653536i	0.398308	+	0.917252i	$0.369597\pi$
$224$	−3.36712	+	7.37296i	−0.224975	+	0.492627i
$225$	27.2936	−	12.8040i	1.81957	−	0.853597i
$226$	17.0151	−	7.77053i	1.13183	−	0.516888i
$227$	−1.65714	−	11.5256i	−0.109988	−	0.764983i	−0.967927	−	0.251232i	$-0.919164\pi$
$227$	−1.65714	−	11.5256i	−0.109988	−	0.764983i	0.857939	−	0.513752i	$-0.171745\pi$
$228$	−51.8316	−	10.9976i	−3.43263	−	0.728336i
$229$		−	5.87267i		−	0.388077i	−0.980994	−	0.194038i	$-0.937841\pi$
$229$		−	5.87267i		−	0.388077i	0.980994	−	0.194038i	$-0.0621587\pi$
$230$	37.2406	−	30.3715i	2.45557	−	2.00264i
$231$	−3.64587	+	1.38114i	−0.239880	+	0.0908725i
$232$	−11.6799	−	7.50622i	−0.766823	−	0.492807i
$233$	−2.29940	+	0.330604i	−0.150639	+	0.0216586i	−0.217222	−	0.976122i	$-0.569699\pi$
$233$	−2.29940	+	0.330604i	−0.150639	+	0.0216586i	0.0665829	+	0.997781i	$0.478790\pi$
$234$	−0.624217	+	1.40474i	−0.0408063	+	0.0918305i
$235$	1.32691	−	4.51904i	0.0865581	−	0.294790i
$236$	49.2872	+	22.5087i	3.20832	+	1.46519i
$237$	4.22146	−	11.4976i	0.274213	−	0.746851i
$238$	−2.51228	+	17.4733i	−0.162847	+	1.13262i
$239$	7.31155	+	24.9008i	0.472945	+	1.61070i	0.758044	+	0.652203i	$0.226155\pi$
$239$	7.31155	+	24.9008i	0.472945	+	1.61070i	−0.285099	+	0.958498i	$0.592027\pi$
$240$	27.0553	−	50.1569i	1.74641	−	3.23761i
$241$	10.8208	+	16.8374i	0.697027	+	1.08460i	0.991647	+	0.128981i	$0.0411706\pi$
$241$	10.8208	+	16.8374i	0.697027	+	1.08460i	−0.294620	+	0.955614i	$0.595193\pi$
$242$	−8.28569	−	12.8928i	−0.532624	−	0.828780i
$243$	12.7142	+	9.01931i	0.815619	+	0.578589i
$244$	8.93240	+	30.4210i	0.571839	+	1.94750i
$245$	−0.552087	+	3.83985i	−0.0352715	+	0.245319i
$246$	10.1792	+	3.73739i	0.649002	+	0.238287i
$247$	−1.18160	−	0.539621i	−0.0751837	−	0.0343352i
$248$	1.44354	−	4.91623i	0.0916647	−	0.312181i
$249$	−18.2614	+	18.4493i	−1.15727	+	1.16918i
$250$	−50.0792	+	7.20030i	−3.16728	+	0.455387i
$251$	−2.24409	−	1.44219i	−0.141646	−	0.0910301i	0.467899	−	0.883782i	$-0.345011\pi$
$251$	−2.24409	−	1.44219i	−0.141646	−	0.0910301i	−0.609544	+	0.792752i	$0.708648\pi$
$252$	9.28594	+	10.4974i	0.584959	+	0.661273i
$253$	9.25148	−	5.56260i	0.581636	−	0.349718i
$254$		−	25.3318i		−	1.58946i
$255$	9.53144	−	44.9214i	0.596882	−	2.81309i
$256$	3.31746	+	23.0734i	0.207341	+	1.44209i
$257$	−10.1750	+	4.64676i	−0.634698	+	0.289857i	−0.706663	−	0.707550i	$-0.749800\pi$
$257$	−10.1750	+	4.64676i	−0.634698	+	0.289857i	0.0719649	+	0.997407i	$0.477073\pi$
$258$	−2.17357	−	28.3497i	−0.135320	−	1.76498i
$259$	1.83800	−	4.02465i	0.114207	−	0.250079i
$260$	2.35433	−	2.71704i	0.146009	−	0.168504i
$261$	−5.04385	+	3.31495i	−0.312206	+	0.205191i
$262$	−23.0430	+	6.76604i	−1.42360	+	0.418007i
$263$	−2.17107	−	2.50555i	−0.133874	−	0.154499i	0.684854	−	0.728680i	$-0.259866\pi$
$263$	−2.17107	−	2.50555i	−0.133874	−	0.154499i	−0.818728	+	0.574181i	$0.805320\pi$
$264$	16.0129	−	21.6206i	0.985526	−	1.33066i
$265$	−13.4397	+	8.63720i	−0.825597	+	0.530579i
$266$	−12.7825	+	11.0761i	−0.783748	+	0.679121i
$267$	19.1405	+	25.2976i	1.17138	+	1.54819i
$268$	−42.4498	−	6.10335i	−2.59303	−	0.372822i
$269$	5.75803	+	4.98936i	0.351073	+	0.304207i	0.812488	−	0.582978i	$-0.198113\pi$
$269$	5.75803	+	4.98936i	0.351073	+	0.304207i	−0.461415	+	0.887184i	$0.652658\pi$
$270$	−31.8388	−	41.1971i	−1.93765	−	2.50718i
$271$	21.8516	+	6.41621i	1.32739	+	0.389757i	0.867155	−	0.498039i	$-0.165946\pi$
$271$	21.8516	+	6.41621i	1.32739	+	0.389757i	0.460237	+	0.887796i	$0.347765\pi$
$272$	−24.0797	−	52.7272i	−1.46005	−	3.19705i
$273$	0.166209	+	0.300719i	0.0100594	+	0.0182003i
$274$	4.20470	−	6.54265i	0.254015	−	0.395256i
$275$	−22.6200			−1.36404
$276$	−30.4814	−	24.0167i	−1.83476	−	1.44563i
$277$	−15.1190			−0.908411			−0.454205	−	0.890897i	$-0.650077\pi$
$277$	−15.1190			−0.908411			−0.454205	+	0.890897i	$0.650077\pi$
$278$	−24.6563	+	38.3659i	−1.47879	+	2.30103i
$279$	−1.69823	−	1.44134i	−0.101670	−	0.0862909i
$280$	−11.1211	−	24.3518i	−0.664612	−	1.45530i
$281$	−24.1726	−	7.09770i	−1.44201	−	0.423413i	−0.535121	−	0.844775i	$-0.679734\pi$
$281$	−24.1726	−	7.09770i	−1.44201	−	0.423413i	−0.906893	+	0.421362i	$0.861552\pi$
$282$	−5.41966	−	0.359740i	−0.322736	−	0.0214222i
$283$	−9.26298	−	8.02641i	−0.550627	−	0.477121i	0.334549	−	0.942379i	$-0.391416\pi$
$283$	−9.26298	−	8.02641i	−0.550627	−	0.477121i	−0.885175	+	0.465258i	$0.845962\pi$
$284$	−21.0752	−	3.03015i	−1.25058	−	0.179806i
$285$	35.0872	−	26.5473i	2.07839	−	1.57253i
$286$	0.871649	−	0.755289i	0.0515417	−	0.0446611i
$287$	2.03902	−	1.31040i	0.120360	−	0.0773505i
$288$	−23.4003	−	6.61142i	−1.37887	−	0.389582i
$289$	−19.4550	−	22.4523i	−1.14441	−	1.32072i
$290$	19.3429	−	5.67959i	1.13585	−	0.333517i
$291$	−2.05069	−	9.19983i	−0.120214	−	0.539304i
$292$	35.6313	−	41.1208i	2.08517	−	2.40641i
$293$	−12.0614	+	26.4108i	−0.704636	+	1.54294i	0.129623	+	0.991563i	$0.458623\pi$
$293$	−12.0614	+	26.4108i	−0.704636	+	1.54294i	−0.834259	+	0.551373i	$0.814104\pi$
$294$	4.46074	−	0.342003i	0.260155	−	0.0199460i
$295$	−40.9275	+	18.6910i	−2.38289	+	1.08823i
$296$	4.34531	+	30.2223i	0.252566	+	1.75663i
$297$	−5.76237	−	10.1781i	−0.334366	−	0.590595i
$298$			53.7197i			3.11190i
$299$	−0.601280	−	0.737271i	−0.0347729	−	0.0426375i
$300$	28.8063	+	76.0413i	1.66313	+	4.39025i
$301$	−5.34650	−	3.43599i	−0.308167	−	0.198047i
$302$	−9.67838	+	1.39154i	−0.556928	+	0.0800742i
$303$	−5.90399	−	5.84383i	−0.339175	−	0.335719i
$304$	15.6469	−	53.2884i	0.897411	−	3.05630i
$305$	−23.9485	−	10.9369i	−1.37129	−	0.626246i
$306$	−52.9560	+	0.542310i	−3.02730	+	0.0310018i
$307$	−2.23552	+	15.5484i	−0.127588	+	0.887393i	0.821011	+	0.570912i	$0.193410\pi$
$307$	−2.23552	+	15.5484i	−0.127588	+	0.887393i	−0.948599	+	0.316481i	$0.897499\pi$
$308$	−2.96260	−	10.0897i	−0.168810	−	0.574913i
$309$	−12.0547	−	6.50245i	−0.685767	−	0.369912i
$310$	4.02223	+	6.25872i	0.228448	+	0.355471i
$311$	10.4886	+	16.3206i	0.594756	+	0.925459i	0.999937	+	0.0112222i	$0.00357222\pi$
$311$	10.4886	+	16.3206i	0.594756	+	0.925459i	−0.405181	+	0.914237i	$0.632791\pi$
$312$	−2.08688	−	1.12569i	−0.118146	−	0.0637296i
$313$	−3.89479	−	13.2645i	−0.220147	−	0.749751i	−0.993303	−	0.115536i	$-0.963141\pi$
$313$	−3.89479	−	13.2645i	−0.220147	−	0.749751i	0.773157	−	0.634215i	$-0.218677\pi$
$314$	−2.78020	+	19.3367i	−0.156896	+	1.09124i
$315$	−11.6374	+	0.119176i	−0.655693	+	0.00671479i
$316$	30.0504	+	13.7236i	1.69047	+	0.772010i
$317$	−1.78208	+	6.06921i	−0.100092	+	0.340881i	−0.994279	−	0.106812i	$-0.965936\pi$
$317$	−1.78208	+	6.06921i	−0.100092	+	0.340881i	0.894188	+	0.447692i	$0.147754\pi$
$318$	13.0943	+	12.9609i	0.734294	+	0.726813i
$319$	4.48251	−	0.644487i	0.250972	−	0.0360843i
$320$	12.9664	+	8.33299i	0.724843	+	0.465828i
$321$	−5.45762	−	14.4067i	−0.304615	−	0.804106i
$322$	−11.9845	+	3.13368i	−0.667873	+	0.174633i
$323$		−	44.7527i		−	2.49011i
$324$	−26.8774	+	32.3330i	−1.49319	+	1.79628i
$325$	0.283706	+	1.97322i	0.0157372	+	0.109454i
$326$	2.93330	−	1.33959i	0.162460	−	0.0741931i
$327$	22.6902	−	1.73965i	1.25477	−	0.0962029i
$328$	−6.94841	+	15.2149i	−0.383662	+	0.840102i
$329$	−0.795054	+	0.917541i	−0.0438327	+	0.0505857i
$330$	8.49936	+	38.1299i	0.467874	+	2.09898i
$331$	−4.56581	+	1.34064i	−0.250960	+	0.0736884i	−0.404793	−	0.914408i	$-0.632656\pi$
$331$	−4.56581	+	1.34064i	−0.250960	+	0.0736884i	0.153833	+	0.988097i	$0.450838\pi$
$332$	−45.8509	−	52.9147i	−2.51639	−	2.90407i
$333$	12.7734	+	3.60895i	0.699978	+	0.197769i
$334$	−11.1511	+	7.16639i	−0.610162	+	0.392127i
$335$	26.9139	−	23.3211i	1.47047	−	1.27417i
$336$	−11.7150	+	8.86368i	−0.639104	+	0.483553i
$337$	26.6461	+	3.83113i	1.45151	+	0.208695i	0.822527	−	0.568726i	$-0.192564\pi$
$337$	26.6461	+	3.83113i	1.45151	+	0.208695i	0.628980	+	0.777421i	$0.283473\pi$
$338$	25.3002	+	21.9227i	1.37615	+	1.19244i
$339$	12.5157	+	0.830754i	0.679761	+	0.0451204i
$340$	118.843	+	34.8954i	6.44516	+	1.89247i
$341$	0.694264	+	1.52023i	0.0375965	+	0.0823249i
$342$	−38.6859	−	32.8340i	−2.09189	−	1.77546i
$343$	0.540641	−	0.841254i	0.0291919	−	0.0454234i
$344$	43.8582			2.36467
$345$	31.6475	−	6.06907i	1.70384	−	0.326748i
$346$	−18.2431			−0.980754
$347$	5.02963	−	7.82626i	0.270005	−	0.420136i	−0.679601	−	0.733582i	$-0.737847\pi$
$347$	5.02963	−	7.82626i	0.270005	−	0.420136i	0.949606	+	0.313446i	$0.101484\pi$
$348$	−7.87499	−	14.2480i	−0.422144	−	0.763775i
$349$	−1.61381	−	3.53375i	−0.0863853	−	0.189157i	0.861509	−	0.507742i	$-0.169520\pi$
$349$	−1.61381	−	3.53375i	−0.0863853	−	0.189157i	−0.947894	+	0.318585i	$0.896792\pi$
$350$	24.9054	+	7.31287i	1.33125	+	0.390890i
$351$	−0.815599	+	0.630328i	−0.0435335	+	0.0336444i
$352$	13.7884	+	11.9477i	0.734924	+	0.636816i
$353$	1.56303	+	0.224730i	0.0831918	+	0.0119612i	0.183785	−	0.982966i	$-0.441165\pi$
$353$	1.56303	+	0.224730i	0.0831918	+	0.0119612i	−0.100593	+	0.994928i	$0.532074\pi$
$354$	31.3079	+	41.3792i	1.66400	+	2.19928i
$355$	13.3620	−	11.5783i	0.709184	−	0.614511i
$356$	−71.9800	+	46.2587i	−3.81493	+	2.45171i
$357$	−7.04532	+	9.51258i	−0.372878	+	0.503459i
$358$	13.7991	+	15.9250i	0.729305	+	0.841663i
$359$	−16.3720	+	4.80726i	−0.864082	+	0.253717i	−0.683596	−	0.729860i	$-0.739585\pi$
$359$	−16.3720	+	4.80726i	−0.864082	+	0.253717i	−0.180485	+	0.983578i	$0.557767\pi$
$360$	67.1155	−	44.1101i	3.53730	−	2.32481i
$361$	15.6372	−	18.0463i	0.823010	−	0.949804i
$362$	−27.3480	+	59.8838i	−1.43738	+	3.14742i
$363$	−0.785621	−	10.2468i	−0.0412344	−	0.537819i
$364$	−0.843000	+	0.384985i	−0.0441852	+	0.0201787i
$365$	6.43005	+	44.7220i	0.336564	+	2.34086i
$366$	−6.30198	+	29.7011i	−0.329410	+	1.55250i
$367$			8.06322i			0.420897i	0.977605	+	0.210448i	$0.0674924\pi$
$367$			8.06322i			0.420897i	−0.977605	+	0.210448i	$0.932508\pi$
$368$	27.5424	−	29.9319i	1.43575	−	1.56031i
$369$	4.81776	+	5.44629i	0.250803	+	0.283522i
$370$	−37.2962	−	23.9688i	−1.93894	−	1.24608i
$371$	4.07628	−	0.586081i	0.211630	−	0.0304278i
$372$	4.22639	−	4.26989i	0.219128	−	0.221383i
$373$	−4.31218	+	14.6859i	−0.223276	+	0.760410i	0.769311	+	0.638875i	$0.220600\pi$
$373$	−4.31218	+	14.6859i	−0.223276	+	0.760410i	−0.992587	+	0.121535i	$0.961218\pi$
$374$	36.1445	+	16.5066i	1.86899	+	0.853538i
$375$	−31.8479	−	11.6933i	−1.64462	−	0.603838i
$376$	1.19236	−	8.29301i	0.0614910	−	0.427680i
$377$	−0.112442	−	0.382941i	−0.00579104	−	0.0197225i
$378$	3.05405	+	13.0694i	0.157083	+	0.672217i
$379$	−1.29158	−	2.00973i	−0.0663439	−	0.103233i	0.806497	−	0.591239i	$-0.201361\pi$
$379$	−1.29158	−	2.00973i	−0.0663439	−	0.103233i	−0.872840	+	0.488006i	$0.837725\pi$
$380$	64.1597	+	99.8344i	3.29132	+	5.12140i
$381$	8.06441	−	14.9503i	0.413152	−	0.765929i
$382$	−2.24763	−	7.65471i	−0.114999	−	0.391649i
$383$	0.775572	−	5.39422i	0.0396299	−	0.275632i	−0.960365	−	0.278745i	$-0.910082\pi$
$383$	0.775572	−	5.39422i	0.0396299	−	0.275632i	0.999995	+	0.00311276i	$0.000990825\pi$
$384$	−3.55101	+	9.67157i	−0.181212	+	0.493550i
$385$	7.94296	+	3.62743i	0.404811	+	0.184871i
$386$	−1.12681	+	3.83755i	−0.0573530	+	0.195326i
$387$	7.74237	−	17.4234i	0.393567	−	0.885682i
$388$	25.1641	−	3.61805i	1.27751	−	0.183679i
$389$	−5.76897	−	3.70749i	−0.292498	−	0.187977i	0.386159	−	0.922432i	$-0.373802\pi$
$389$	−5.76897	−	3.70749i	−0.292498	−	0.187977i	−0.678657	+	0.734455i	$0.737438\pi$
$390$	3.21960	−	1.21966i	0.163031	−	0.0617601i
$391$	14.4996	−	29.3949i	0.733275	−	1.48656i
$392$			6.90093i			0.348550i
$393$	−15.7535	−	3.34258i	−0.794659	−	0.168611i
$394$	4.05408	+	28.1967i	0.204242	+	1.42053i
$395$	−24.9535	+	11.3959i	−1.25555	+	0.573389i
$396$	28.5604	−	13.3982i	1.43521	−	0.673286i
$397$	−2.16540	+	4.74156i	−0.108678	+	0.237972i	−0.956155	−	0.292860i	$-0.905393\pi$
$397$	−2.16540	+	4.74156i	−0.108678	+	0.237972i	0.847477	+	0.530832i	$0.178120\pi$
$398$	11.0732	−	12.7792i	0.555051	−	0.640563i
$399$	−11.0701	+	2.46758i	−0.554198	+	0.123534i
$400$	−81.7795	+	24.0126i	−4.08898	+	1.20063i
$401$	18.0147	+	20.7901i	0.899610	+	1.03821i	0.999068	+	0.0431639i	$0.0137438\pi$
$401$	18.0147	+	20.7901i	0.899610	+	1.03821i	−0.0994576	+	0.995042i	$0.531711\pi$
$402$	−33.0036	−	24.4435i	−1.64607	−	1.21913i
$403$	0.123907	−	0.0796301i	0.00617224	−	0.00396666i
$404$	16.9333	−	14.6728i	0.842462	−	0.729998i
$405$	−5.67548	−	34.4496i	−0.282017	−	1.71182i
$406$	−5.14375	−	0.739559i	−0.255280	−	0.0367037i
$407$	−7.52662	−	6.52185i	−0.373080	−	0.323276i
$408$	5.41040	−	81.5103i	0.267855	−	4.03536i
$409$	−12.9113	−	3.79110i	−0.638423	−	0.187458i	−0.0535273	−	0.998566i	$-0.517046\pi$
$409$	−12.9113	−	3.79110i	−0.638423	−	0.187458i	−0.584896	+	0.811108i	$0.698865\pi$
$410$	−10.0891	−	22.0921i	−0.498266	−	1.09105i
$411$	4.56439	−	2.52277i	0.225145	−	0.124439i
$412$	19.9727	−	31.0782i	0.983986	−	1.53111i
$413$	11.5982			0.570712
$414$	−14.7720	−	34.1003i	−0.726007	−	1.67594i
$415$	58.1406			2.85401
$416$	0.869303	−	1.35266i	0.0426211	−	0.0663197i
$417$	−26.7655	+	14.7935i	−1.31071	+	0.724439i
$418$	15.8154	+	34.6310i	0.773558	+	1.69386i
$419$	25.2440	+	7.41230i	1.23325	+	0.362115i	0.832475	−	0.554062i	$-0.186923\pi$
$419$	25.2440	+	7.41230i	1.23325	+	0.362115i	0.400774	+	0.916177i	$0.368741\pi$
$420$	2.07901	−	31.3212i	0.101445	−	1.52832i
$421$	−0.539529	−	0.467504i	−0.0262950	−	0.0227848i	0.641614	−	0.767028i	$-0.278265\pi$
$421$	−0.539529	−	0.467504i	−0.0262950	−	0.0227848i	−0.667909	+	0.744243i	$0.732811\pi$
$422$	−15.3638	−	2.20898i	−0.747899	−	0.107532i
$423$	−3.08405	−	1.93767i	−0.149952	−	0.0942125i
$424$	−21.4780	+	18.6108i	−1.04306	+	0.903818i
$425$	−57.7774	+	37.1313i	−2.80261	+	1.80113i
$426$	−16.3854	−	12.1355i	−0.793875	−	0.587969i
$427$	4.44431	+	5.12901i	0.215075	+	0.248210i
$428$	39.8696	−	11.7068i	1.92717	−	0.565869i
$429$	0.754877	−	0.168266i	0.0364458	−	0.00812396i
$430$	−41.7030	+	48.1278i	−2.01110	+	2.32093i
$431$	6.28072	−	13.7529i	0.302532	−	0.662452i	−0.695918	−	0.718122i	$-0.745002\pi$
$431$	6.28072	−	13.7529i	0.302532	−	0.662452i	0.998449	+	0.0556698i	$0.0177294\pi$
$432$	−31.6378	−	30.6805i	−1.52218	−	1.47612i
$433$	16.0433	−	7.32671i	0.770990	−	0.352099i	0.00922891	−	0.999957i	$-0.497062\pi$
$433$	16.0433	−	7.32671i	0.770990	−	0.352099i	0.761761	+	0.647858i	$0.224335\pi$
$434$	−0.272930	−	1.89827i	−0.0131011	−	0.0911199i
$435$	13.2239	+	2.80585i	0.634038	+	0.134530i
$436$			61.3799i			2.93956i
$437$	28.9427	−	12.1873i	1.38452	−	0.582999i
$438$	48.7267	−	18.4589i	2.32825	−	0.881998i
$439$	2.99646	+	1.92571i	0.143013	+	0.0919090i	0.610191	−	0.792254i	$-0.291093\pi$
$439$	2.99646	+	1.92571i	0.143013	+	0.0919090i	−0.467178	+	0.884163i	$0.654729\pi$
$440$	−59.6460	+	8.57580i	−2.84351	+	0.408835i
$441$	2.74151	+	1.21824i	0.130548	+	0.0580112i
$442$	0.986597	−	3.36004i	0.0469276	−	0.159821i
$443$	−19.5636	−	8.93438i	−0.929493	−	0.424485i	−0.107643	−	0.994190i	$-0.534330\pi$
$443$	−19.5636	−	8.93438i	−0.929493	−	0.424485i	−0.821850	+	0.569705i	$0.807058\pi$
$444$	−12.3394	+	33.6076i	−0.585600	+	1.59495i
$445$	10.1115	−	70.3271i	0.479332	−	3.33383i
$446$	−9.39723	−	32.0040i	−0.444972	−	1.51543i
$447$	−17.1017	+	31.7043i	−0.808883	+	1.49956i
$448$	−2.14805	−	3.34243i	−0.101486	−	0.157915i
$449$	13.6471	+	21.2353i	0.644048	+	1.00216i	0.997766	+	0.0668060i	$0.0212809\pi$
$449$	13.6471	+	21.2353i	0.644048	+	1.00216i	−0.353718	+	0.935352i	$0.615083\pi$
$450$	−10.2922	+	77.1872i	−0.485181	+	3.63864i
$451$	−1.53706	−	5.23476i	−0.0723775	−	0.246495i
$452$	−4.81477	+	33.4875i	−0.226468	+	1.57512i
$453$	−6.15499	−	2.25986i	−0.289187	−	0.106178i
$454$	27.3585	+	12.4942i	1.28400	+	0.586382i
$455$	0.216810	−	0.738388i	0.0101642	−	0.0346162i
$456$	55.0604	−	55.6271i	2.57844	−	2.60498i
$457$	20.9569	−	3.01315i	0.980322	−	0.140949i	0.366521	−	0.930410i	$-0.380549\pi$
$457$	20.9569	−	3.01315i	0.980322	−	0.140949i	0.613801	+	0.789461i	$0.289640\pi$
$458$	12.7609	+	8.20093i	0.596277	+	0.383204i
$459$	−31.4262	−	16.5385i	−1.46685	−	0.771953i
$460$	9.79631	+	86.3616i	0.456755	+	4.02663i
$461$		−	20.2383i		−	0.942592i	−0.881975	−	0.471296i	$-0.843786\pi$
$461$		−	20.2383i		−	0.942592i	0.881975	−	0.471296i	$-0.156214\pi$
$462$	2.09017	−	9.85091i	0.0972434	−	0.458306i
$463$	−1.06396	−	7.40000i	−0.0494464	−	0.343907i	−0.999494	−	0.0318028i	$-0.989875\pi$
$463$	−1.06396	−	7.40000i	−0.0494464	−	0.343907i	0.950048	−	0.312105i	$-0.101034\pi$
$464$	15.5217	−	7.08854i	0.720579	−	0.329077i
$465$	0.381375	+	4.97425i	0.0176858	+	0.230675i
$466$	2.49263	−	5.45810i	0.115469	−	0.252842i
$467$	23.7663	−	27.4278i	1.09977	−	1.26921i	0.139476	−	0.990225i	$-0.455458\pi$
$467$	23.7663	−	27.4278i	1.09977	−	1.26921i	0.960297	−	0.278980i	$-0.0899965\pi$
$468$	−1.52699	−	2.32338i	−0.0705849	−	0.107398i
$469$	−8.80814	+	2.58630i	−0.406722	+	0.119424i
$470$	7.96658	+	9.19393i	0.367471	+	0.424084i
$471$	−7.79669	+	10.5271i	−0.359252	+	0.485062i
$472$	−67.3329	+	43.2722i	−3.09925	+	1.99176i
$473$	−10.8114	+	9.36809i	−0.497107	+	0.430745i
$474$	19.0884	+	25.2289i	0.876761	+	1.15880i
$475$	−65.1343	−	9.36490i	−2.98857	−	0.429691i
$476$	−24.1297	−	20.9085i	−1.10598	−	0.958340i
$477$	3.60190	+	11.8179i	0.164920	+	0.541103i
$478$	−64.3180	−	18.8855i	−2.94184	−	0.863801i
$479$	−18.0750	−	39.5788i	−0.825870	−	1.80840i	−0.512185	−	0.858875i	$-0.671164\pi$
$479$	−18.0750	−	39.5788i	−0.825870	−	1.80840i	−0.313685	−	0.949527i	$-0.601563\pi$
$480$	26.3453	+	47.6659i	1.20249	+	2.17564i
$481$	−0.474522	+	0.738371i	−0.0216364	+	0.0336668i
$482$	−51.6973			−2.35475
$483$	−8.07065	−	1.96586i	−0.367227	−	0.0894496i
$484$	27.7190			1.25995
$485$	−11.4134	+	17.7596i	−0.518256	+	0.806421i
$486$	−37.3532	+	15.0321i	−1.69438	+	0.681869i
$487$	12.0796	+	26.4507i	0.547380	+	1.19860i	0.957994	+	0.286787i	$0.0925871\pi$
$487$	12.0796	+	26.4507i	0.547380	+	1.19860i	−0.410614	+	0.911809i	$0.634686\pi$
$488$	−44.9371	−	13.1947i	−2.03421	−	0.597297i
$489$	2.15763	+	0.143217i	0.0975715	+	0.00647649i
$490$	−7.57275	−	6.56182i	−0.342102	−	0.296433i
$491$	37.7099	+	5.42187i	1.70182	+	0.244685i	0.923615	−	0.383320i	$-0.125220\pi$
$491$	37.7099	+	5.42187i	1.70182	+	0.244685i	0.778209	+	0.628006i	$0.216129\pi$
$492$	−15.6402	+	11.8335i	−0.705114	+	0.533497i
$493$	10.3916	−	9.00434i	0.468012	−	0.405535i
$494$	2.82262	−	1.81399i	0.126996	−	0.0816151i
$495$	−7.12254	+	25.2093i	−0.320134	+	1.13307i
$496$	4.12384	+	4.75917i	0.185166	+	0.213693i
$497$	−4.37300	+	1.28403i	−0.196156	+	0.0575966i
$498$	−14.5879	−	65.4443i	−0.653699	−	2.93263i
$499$	11.1384	−	12.8544i	0.498624	−	0.575443i	−0.449525	−	0.893268i	$-0.648407\pi$
$499$	11.1384	−	12.8544i	0.498624	−	0.575443i	0.948149	+	0.317825i	$0.102952\pi$
$500$	38.0137	−	83.2383i	1.70002	−	3.72253i
$501$	−8.86259	+	0.679493i	−0.395951	+	0.0303575i
$502$	6.26755	−	2.86229i	0.279734	−	0.127750i
$503$	4.30218	+	29.9223i	0.191825	+	1.33417i	0.827174	+	0.561946i	$0.189947\pi$
$503$	4.30218	+	29.9223i	0.191825	+	1.33417i	−0.635349	+	0.772225i	$0.719144\pi$
$504$	−20.4608	+	3.15601i	−0.911398	+	0.140580i
$505$			18.6056i			0.827940i
$506$	−0.832157	+	27.8707i	−0.0369939	+	1.23901i
$507$	7.95254	+	20.9927i	0.353185	+	0.932317i
$508$	38.5435	+	24.7704i	1.71009	+	1.09901i
$509$	−8.65928	+	1.24502i	−0.383816	+	0.0551844i	−0.331522	−	0.943447i	$-0.607562\pi$
$509$	−8.65928	+	1.24502i	−0.383816	+	0.0551844i	−0.0522936	+	0.998632i	$0.516653\pi$
$510$	84.3009	+	83.4420i	3.73290	+	3.69487i
$511$	3.28129	−	11.1750i	0.145156	−	0.494355i
$512$	−43.9480	−	20.0704i	−1.94225	−	0.886994i
$513$	−12.3789	−	31.6936i	−0.546542	−	1.39931i
$514$	4.11185	−	28.5985i	0.181366	−	1.26143i
$515$	8.64264	+	29.4341i	0.380840	+	1.29702i
$516$	45.2607	+	24.4142i	1.99249	+	1.07478i
$517$	1.47746	+	2.29897i	0.0649787	+	0.101109i
$518$	6.17859	+	9.61408i	0.271472	+	0.422418i
$519$	−10.7667	−	5.80770i	−0.472606	−	0.254930i
$520$	1.49619	+	5.09557i	0.0656124	+	0.223455i
$521$	4.30638	−	29.9515i	0.188666	−	1.31220i	−0.646801	−	0.762659i	$-0.723893\pi$
$521$	4.30638	−	29.9515i	0.188666	−	1.31220i	0.835467	−	0.549541i	$-0.185198\pi$
$522$	−0.159644	−	15.5891i	−0.00698744	−	0.682317i
$523$	6.76740	+	3.09057i	0.295918	+	0.135141i	0.557842	−	0.829947i	$-0.311630\pi$
$523$	6.76740	+	3.09057i	0.295918	+	0.135141i	−0.261924	+	0.965089i	$0.584357\pi$
$524$	12.2375	−	41.6770i	0.534596	−	1.82067i
$525$	12.3706	+	12.2446i	0.539897	+	0.534396i
$526$	8.47619	−	1.21869i	0.369579	−	0.0531375i
$527$	4.26882	+	2.74341i	0.185953	+	0.119505i
$528$	11.7141	+	30.9222i	0.509791	+	1.34572i
$529$	22.9590	+	1.37223i	0.998219	+	0.0596622i
$530$		−	41.2651i		−	1.79244i
$531$	5.30423	+	34.3881i	0.230184	+	1.49231i
$532$	−4.35358	−	30.2798i	−0.188752	−	1.31280i
$533$	−0.437368	+	0.199739i	−0.0189445	+	0.00865166i
$534$	−81.6988	+	6.26382i	−3.53545	+	0.271062i
$535$	−14.3339	+	31.3868i	−0.619708	+	1.35697i
$536$	41.4858	−	47.8772i	1.79191	−	2.06798i
$537$	3.07421	+	13.7916i	0.132662	+	0.595151i
$538$	−18.8824	+	5.54436i	−0.814076	+	0.239034i
$539$	−1.47404	−	1.70113i	−0.0634913	−	0.0732729i
$540$	93.8163	−	8.16003i	4.03721	−	0.351152i
$541$	−3.67820	+	2.36384i	−0.158138	+	0.101629i	−0.617317	−	0.786715i	$-0.711780\pi$
$541$	−3.67820	+	2.36384i	−0.158138	+	0.101629i	0.459178	+	0.888344i	$0.348144\pi$
$542$	−44.4568	+	38.5220i	−1.90958	+	1.65466i
$543$	−35.2043	+	26.6360i	−1.51076	+	1.14306i
$544$	54.8317	+	7.88361i	2.35089	+	0.338007i
$545$	−38.5199	−	33.3777i	−1.65001	−	1.42974i
$546$	−0.885544	−	0.0587797i	−0.0378978	−	0.00251554i
$547$	−42.2901	−	12.4175i	−1.80819	−	0.530933i	−0.809753	−	0.586771i	$-0.800399\pi$
$547$	−42.2901	−	12.4175i	−1.80819	−	0.530933i	−0.998440	+	0.0558374i	$0.982217\pi$
$548$	5.84341	+	12.7953i	0.249618	+	0.546587i
$549$	−13.1747	+	15.5227i	−0.562281	+	0.662495i
$550$	31.5878	−	49.1516i	1.34691	−	2.09583i
$551$	13.1742			0.561241
$552$	54.1881	−	18.6984i	2.30640	−	0.795855i
$553$	7.07145			0.300709
$554$	21.1130	−	32.8524i	0.897005	−	1.39577i
$555$	−14.3810	−	26.0192i	−0.610439	−	1.10445i
$556$	−34.2656	−	75.0312i	−1.45318	−	3.18203i
$557$	19.6878	+	5.78085i	0.834198	+	0.244943i	0.670819	−	0.741621i	$-0.265943\pi$
$557$	19.6878	+	5.78085i	0.834198	+	0.244943i	0.163379	+	0.986563i	$0.447761\pi$
$558$	5.50343	−	1.67736i	0.232979	−	0.0710082i
$559$	0.952810	+	0.825615i	0.0402996	+	0.0349198i
$560$	32.5675	+	4.68250i	1.37623	+	0.197872i
$561$	16.0769	+	21.2485i	0.678766	+	0.897114i
$562$	49.1787	−	42.6136i	2.07448	−	1.79755i
$563$	36.8207	−	23.6632i	1.55181	−	0.997287i	0.566985	−	0.823728i	$-0.308110\pi$
$563$	36.8207	−	23.6632i	1.55181	−	0.997287i	0.984824	−	0.173558i	$-0.0555265\pi$
$564$	5.84690	−	7.89448i	0.246199	−	0.332418i
$565$	−18.3974	−	21.2317i	−0.773983	−	0.893224i
$566$	30.3762	−	8.91925i	1.27681	−	0.374904i
$567$	−2.35821	+	8.68555i	−0.0990356	+	0.364759i
$568$	20.5966	−	23.7697i	0.864213	−	0.997355i
$569$	−0.0929307	+	0.203490i	−0.00389586	+	0.00853073i	−0.911570	−	0.411145i	$-0.865129\pi$
$569$	−0.0929307	+	0.203490i	−0.00389586	+	0.00853073i	0.907674	+	0.419676i	$0.137856\pi$
$570$	8.68777	+	113.314i	0.363890	+	4.74621i
$571$	−19.7757	+	9.03126i	−0.827587	+	0.377946i	−0.783738	−	0.621092i	$-0.786689\pi$
$571$	−19.7757	+	9.03126i	−0.827587	+	0.377946i	−0.0438493	+	0.999038i	$0.513962\pi$
$572$	0.296874	+	2.06480i	0.0124129	+	0.0863337i
$573$	1.11038	−	5.23319i	0.0463867	−	0.218620i
$574$			6.26057i			0.261311i
$575$	−39.7480	−	27.2542i	−1.65761	−	1.13658i
$576$	8.92772	−	7.89742i	0.371988	−	0.329059i
$577$	13.5010	+	8.67654i	0.562052	+	0.361209i	0.790609	−	0.612322i	$-0.209764\pi$
$577$	13.5010	+	8.67654i	0.562052	+	0.361209i	−0.228556	+	0.973531i	$0.573401\pi$
$578$	75.9552	−	10.9207i	3.15932	−	0.454242i
$579$	−1.88671	+	1.90613i	−0.0784089	+	0.0792159i
$580$	−10.2725	+	34.9848i	−0.426541	+	1.45266i
$581$	−13.6329	−	6.22594i	−0.565588	−	0.258295i
$582$	22.8543	+	8.39116i	0.947340	+	0.347825i
$583$	1.31922	−	9.17537i	0.0546365	−	0.380005i
$584$	22.6440	+	77.1182i	0.937013	+	3.19117i
$585$	2.28843	+	0.305142i	0.0946148	+	0.0126161i
$586$	−40.5456	−	63.0902i	−1.67492	−	2.60623i
$587$	19.3469	+	30.1043i	0.798530	+	1.24254i	0.966480	+	0.256742i	$0.0826491\pi$
$587$	19.3469	+	30.1043i	0.798530	+	1.24254i	−0.167950	+	0.985796i	$0.553715\pi$
$588$	−3.84150	+	7.12162i	−0.158421	+	0.293691i
$589$	1.36975	+	4.66493i	0.0564395	+	0.192215i
$590$	16.5393	−	115.034i	0.680914	−	4.73586i
$591$	−6.58382	+	17.9318i	−0.270822	+	0.737615i
$592$	−34.1349	−	15.5889i	−1.40293	−	0.640699i
$593$	−10.5477	+	35.9221i	−0.433141	+	1.47514i	0.397119	+	0.917767i	$0.370010\pi$
$593$	−10.5477	+	35.9221i	−0.433141	+	1.47514i	−0.830260	+	0.557376i	$0.811808\pi$
$594$	30.1632	+	1.69210i	1.23761	+	0.0694275i
$595$	26.2429	−	3.77316i	1.07586	−	0.154685i
$596$	−81.7368	−	52.5290i	−3.34807	−	2.15167i
$597$	10.6035	−	4.01685i	0.433971	−	0.164399i
$598$	2.44170	−	0.276971i	0.0998485	−	0.0113262i
$599$			10.2149i			0.417369i	0.977983	+	0.208684i	$0.0669181\pi$
$599$			10.2149i			0.417369i	−0.977983	+	0.208684i	$0.933082\pi$
$600$	−117.500	−	24.9312i	−4.79693	−	1.01781i
$601$	−1.88619	−	13.1187i	−0.0769391	−	0.535123i	−0.991442	−	0.130545i	$-0.958327\pi$
$601$	−1.88619	−	13.1187i	−0.0769391	−	0.535123i	0.914503	−	0.404578i	$-0.132582\pi$
$602$	14.9323	−	6.81936i	0.608595	−	0.277936i
$603$	−11.6965	−	24.9328i	−0.476316	−	1.01534i
$604$	7.34658	−	16.0868i	0.298928	−	0.654562i
$605$	−15.0733	+	17.3955i	−0.612815	+	0.707227i
$606$	20.9429	−	4.66828i	0.850747	−	0.189636i
$607$	−23.6515	+	6.94470i	−0.959984	+	0.281877i	−0.723938	−	0.689865i	$-0.757670\pi$
$607$	−23.6515	+	6.94470i	−0.959984	+	0.281877i	−0.236046	+	0.971742i	$0.575852\pi$
$608$	34.7573	+	40.1121i	1.40959	+	1.62676i
$609$	−2.80030	−	2.07399i	−0.113474	−	0.0840423i
$610$	57.2082	−	36.7655i	2.31629	−	1.48859i
$611$	0.182017	−	0.157718i	0.00736361	−	0.00638060i
$612$	50.9572	−	81.1052i	2.05982	−	3.27848i
$613$	−4.39566	−	0.632000i	−0.177539	−	0.0255263i	0.0529719	−	0.998596i	$-0.483131\pi$
$613$	−4.39566	−	0.632000i	−0.177539	−	0.0255263i	−0.230511	+	0.973070i	$0.574040\pi$
$614$	−30.6637	−	26.5703i	−1.23749	−	1.07229i
$615$	1.07864	−	16.2502i	0.0434948	−	0.655270i
$616$	14.9042	+	4.37627i	0.600508	+	0.176325i
$617$	−1.19892	−	2.62528i	−0.0482668	−	0.105690i	0.883962	−	0.467558i	$-0.154866\pi$
$617$	−1.19892	−	2.62528i	−0.0482668	−	0.105690i	−0.932229	+	0.361869i	$0.882139\pi$
$618$	30.9632	−	17.1136i	1.24552	−	0.688409i
$619$	13.8802	−	21.5980i	0.557892	−	0.868097i	−0.441685	−	0.897170i	$-0.645619\pi$
$619$	13.8802	−	21.5980i	0.557892	−	0.868097i	0.999577	+	0.0290732i	$0.00925559\pi$
$620$	−13.4560			−0.540406
$621$	2.13769	−	24.8280i	0.0857825	−	0.996314i
$622$	−50.1105			−2.00925
$623$	−9.90188	+	15.4076i	−0.396711	+	0.617294i
$624$	2.55053	−	1.40970i	0.102103	−	0.0564330i
$625$	10.6931	+	23.4146i	0.427724	+	0.936585i
$626$	34.2616	+	10.0601i	1.36937	+	0.402083i
$627$	−1.69084	+	25.4734i	−0.0675257	+	1.01731i
$628$	−26.7031	−	23.1384i	−1.06557	−	0.923321i
$629$	−29.9307	−	4.30339i	−1.19342	−	0.171587i
$630$	15.9921	−	25.4536i	0.637142	−	1.01410i
$631$	−24.2428	+	21.0065i	−0.965089	+	0.836255i	−0.986541	−	0.163515i	$-0.947717\pi$
$631$	−24.2428	+	21.0065i	−0.965089	+	0.836255i	0.0214513	+	0.999770i	$0.493171\pi$
$632$	−41.0529	+	26.3831i	−1.63299	+	1.04946i
$633$	−8.36419	−	6.19478i	−0.332447	−	0.246220i
$634$	−10.6994	−	12.3477i	−0.424926	−	0.490391i
$635$	−36.5045	+	10.7187i	−1.44864	+	0.425359i
$636$	−32.5247	+	7.24993i	−1.28969	+	0.287479i
$637$	−0.129908	+	0.149921i	−0.00514713	+	0.00594010i
$638$	−4.85920	+	10.6402i	−0.192378	+	0.421248i
$639$	−5.80697	−	12.3785i	−0.229720	−	0.489684i
$640$	20.9904	−	9.58598i	0.829717	−	0.378919i
$641$	0.849098	+	5.90561i	0.0335374	+	0.233257i	0.999695	−	0.0246948i	$-0.00786139\pi$
$641$	0.849098	+	5.90561i	0.0335374	+	0.233257i	−0.966158	+	0.257952i	$0.916952\pi$
$642$	38.9261	+	8.25935i	1.53629	+	0.325971i
$643$			0.431094i			0.0170007i	0.999964	+	0.00850035i	$0.00270578\pi$
$643$			0.431094i			0.0170007i	−0.999964	+	0.00850035i	$0.997294\pi$
$644$	6.95090	−	21.2992i	0.273904	−	0.839307i
$645$	−39.9338	+	15.1279i	−1.57239	+	0.595661i
$646$	97.2444	+	62.4952i	3.82603	+	2.45884i
$647$	36.3596	−	5.22772i	1.42944	−	0.205523i	0.616265	−	0.787539i	$-0.288645\pi$
$647$	36.3596	−	5.22772i	1.42944	−	0.205523i	0.813177	+	0.582016i	$0.197736\pi$
$648$	−18.7147	−	59.2217i	−0.735183	−	2.32645i
$649$	7.35511	−	25.0492i	0.288713	−	0.983267i
$650$	−4.68385	−	2.13904i	−0.183716	−	0.0839001i
$651$	0.443238	−	1.20721i	0.0173719	−	0.0473143i
$652$	−0.830037	+	5.77304i	−0.0325068	+	0.226090i
$653$	−7.46052	−	25.4082i	−0.291953	−	0.994299i	−0.966628	−	0.256184i	$-0.917535\pi$
$653$	−7.46052	−	25.4082i	−0.291953	−	0.994299i	0.674675	−	0.738115i	$-0.264284\pi$
$654$	−27.9057	+	51.7335i	−1.09120	+	2.02294i
$655$	19.5005	+	30.3433i	0.761946	+	1.18561i
$656$	−11.1141	−	17.2939i	−0.433933	−	0.675212i
$657$	34.6339	+	4.61813i	1.35120	+	0.180170i
$658$	−0.883493	−	3.00890i	−0.0344421	−	0.117299i
$659$	1.83540	−	12.7655i	0.0714970	−	0.497273i	−0.922336	−	0.386388i	$-0.873723\pi$
$659$	1.83540	−	12.7655i	0.0714970	−	0.497273i	0.993833	−	0.110885i	$-0.0353684\pi$
$660$	−66.3273	−	24.3527i	−2.58179	−	0.947927i
$661$	6.22322	+	2.84205i	0.242055	+	0.110543i	0.532749	−	0.846273i	$-0.321159\pi$
$661$	6.22322	+	2.84205i	0.242055	+	0.110543i	−0.290694	+	0.956816i	$0.593886\pi$
$662$	3.46284	−	11.7933i	0.134587	−	0.458361i
$663$	1.65194	−	1.66895i	0.0641561	−	0.0648165i
$664$	102.373	−	14.7191i	3.97286	−	0.571211i
$665$	21.3700	+	13.7337i	0.828693	+	0.532569i
$666$	−25.6795	+	22.7159i	−0.995060	+	0.880225i
$667$	8.65322	+	4.26836i	0.335054	+	0.165272i
$668$		−	23.9745i		−	0.927600i
$669$	4.64245	−	21.8797i	0.179487	−	0.845920i
$670$	13.0909	+	91.0490i	0.505744	+	3.51753i
$671$	13.8957	−	6.34596i	0.536438	−	0.244983i
$672$	−1.07322	−	13.9979i	−0.0414003	−	0.539983i
$673$	−8.33082	+	18.2419i	−0.321129	+	0.703175i	−0.999502	−	0.0315423i	$-0.989958\pi$
$673$	−8.33082	+	18.2419i	−0.321129	+	0.703175i	0.678373	+	0.734718i	$0.262685\pi$
$674$	−45.5349	+	52.5501i	−1.75394	+	2.02415i
$675$	−30.6469	+	42.2778i	−1.17960	+	1.62727i
$676$	−58.0958	+	17.0585i	−2.23445	+	0.656094i
$677$	−10.6750	−	12.3196i	−0.410275	−	0.473482i	0.512575	−	0.858643i	$-0.328692\pi$
$677$	−10.6750	−	12.3196i	−0.410275	−	0.473482i	−0.922850	+	0.385160i	$0.874146\pi$
$678$	−19.2828	+	26.0357i	−0.740553	+	0.999893i
$679$	4.57800	−	2.94210i	0.175688	−	0.112908i
$680$	−138.274	+	119.815i	−5.30258	+	4.59471i
$681$	12.1689	+	16.0834i	0.466313	+	0.616318i
$682$	−4.27285	−	0.614343i	−0.163616	−	0.0235244i
$683$	10.0051	+	8.66949i	0.382835	+	0.331729i	0.824925	−	0.565242i	$-0.191217\pi$
$683$	10.0051	+	8.66949i	0.382835	+	0.331729i	−0.442090	+	0.896971i	$0.645763\pi$
$684$	87.7867	−	26.7560i	3.35661	−	1.02304i
$685$	−11.2075	−	3.29080i	−0.428215	−	0.125735i
$686$	1.07300	+	2.34955i	0.0409674	+	0.0897062i
$687$	4.92045	+	8.90247i	0.187727	+	0.339650i
$688$	−29.1422	+	45.3461i	−1.11103	+	1.72880i
$689$	−0.816945			−0.0311231
$690$	−31.0067	+	77.2429i	−1.18040	+	2.94059i
$691$	−27.2728			−1.03750			−0.518752	−	0.854925i	$-0.673603\pi$
$691$	−27.2728			−1.03750			−0.518752	+	0.854925i	$0.673603\pi$
$692$	17.8387	−	27.7576i	0.678127	−	1.05519i
$693$	4.36962	−	5.14841i	0.165988	−	0.195572i
$694$	9.98224	+	21.8581i	0.378921	+	0.829721i
$695$	65.7202	+	19.2972i	2.49291	+	0.731984i
$696$	23.9949	+	1.59270i	0.909523	+	0.0603713i
$697$	−12.5190	−	10.8478i	−0.474193	−	0.410890i
$698$	9.93220	+	1.42804i	0.375939	+	0.0540519i
$699$	3.20869	−	2.42773i	0.121364	−	0.0918253i
$700$	−35.4802	+	30.7438i	−1.34103	+	1.16201i
$701$	−15.9862	+	10.2737i	−0.603790	+	0.388032i	−0.806524	−	0.591201i	$-0.798654\pi$
$701$	−15.9862	+	10.2737i	−0.603790	+	0.388032i	0.202734	+	0.979234i	$0.435017\pi$
$702$	−0.230708	−	2.65246i	−0.00870752	−	0.100111i
$703$	−18.9728	−	21.8958i	−0.715573	−	0.825815i
$704$	−8.58097	+	2.51960i	−0.323408	+	0.0949610i
$705$	1.77483	+	7.96224i	0.0668438	+	0.299875i
$706$	−2.67103	+	3.08253i	−0.100525	+	0.116013i
$707$	1.99237	−	4.36268i	0.0749307	−	0.164075i
$708$	−93.5742	+	7.17431i	−3.51673	+	0.269627i
$709$	19.1996	−	8.76818i	0.721057	−	0.329296i	−0.0208644	−	0.999782i	$-0.506642\pi$
$709$	19.1996	−	8.76818i	0.721057	−	0.329296i	0.741922	+	0.670486i	$0.233915\pi$
$710$	6.49926	+	45.2033i	0.243913	+	1.69645i
$711$	3.23399	+	20.9664i	0.121284	+	0.786302i
$712$		−	126.391i		−	4.73671i
$713$	−0.611716	+	3.50786i	−0.0229089	+	0.131370i
$714$	−10.8317	−	28.5929i	−0.405366	−	1.07006i
$715$	−1.45723	−	0.936507i	−0.0544975	−	0.0350234i
$716$	−37.7238	+	5.42387i	−1.40981	+	0.202700i
$717$	−31.9470	−	31.6215i	−1.19308	−	1.18093i
$718$	12.4170	−	42.2883i	0.463397	−	1.57819i
$719$	−10.5514	−	4.81866i	−0.393500	−	0.179706i	0.208831	−	0.977952i	$-0.433034\pi$
$719$	−10.5514	−	4.81866i	−0.393500	−	0.179706i	−0.602331	+	0.798246i	$0.705761\pi$
$720$	1.01078	+	98.7020i	0.0376697	+	3.67841i
$721$	1.12539	−	7.82725i	0.0419117	−	0.291502i
$722$	17.3766	+	59.1794i	0.646691	+	2.20243i
$723$	−30.5107	−	16.4579i	−1.13471	−	0.612075i
$724$	−64.3739	−	100.168i	−2.39244	−	3.72271i
$725$	−10.9306	−	17.0084i	−0.405954	−	0.631677i
$726$	23.3627	+	12.6021i	0.867071	+	0.467709i
$727$	0.361926	+	1.23261i	0.0134231	+	0.0457148i	0.965932	−	0.258795i	$-0.0833255\pi$
$727$	0.361926	+	1.23261i	0.0134231	+	0.0457148i	−0.952509	+	0.304510i	$0.901507\pi$
$728$	0.194825	−	1.35504i	0.00722068	−	0.0502209i
$729$	−26.8306	−	3.01979i	−0.993726	−	0.111844i
$730$	−106.157	−	48.4803i	−3.92905	−	1.79434i
$731$	−12.2371	+	41.6757i	−0.452605	+	1.54143i
$732$	−39.0292	−	38.6315i	−1.44256	−	1.42786i
$733$	−11.9250	+	1.71455i	−0.440459	+	0.0633285i	−0.358977	−	0.933346i	$-0.616874\pi$
$733$	−11.9250	+	1.71455i	−0.440459	+	0.0633285i	−0.0814821	+	0.996675i	$0.525965\pi$
$734$	−17.5208	−	11.2599i	−0.646705	−	0.415612i
$735$	−2.38032	−	6.28345i	−0.0877996	−	0.231768i
$736$	9.83359	+	37.6079i	0.362471	+	1.38625i
$737$			20.6634i			0.761147i
$738$	−18.5622	+	2.86315i	−0.683283	+	0.105394i
$739$	−0.970779	−	6.75191i	−0.0357107	−	0.248373i	0.964145	−	0.265377i	$-0.0854964\pi$
$739$	−0.970779	−	6.75191i	−0.0357107	−	0.248373i	−0.999855	+	0.0170037i	$0.994587\pi$
$740$	72.9392	−	33.3102i	2.68130	−	1.22451i
$741$	2.24334	−	0.171996i	0.0824110	−	0.00631843i
$742$	−4.41884	+	9.67590i	−0.162221	+	0.355213i
$743$	−22.4528	+	25.9119i	−0.823712	+	0.950614i	−0.999428	−	0.0338269i	$-0.989231\pi$
$743$	−22.4528	+	25.9119i	−0.823712	+	0.950614i	0.175716	+	0.984441i	$0.443776\pi$
$744$	1.93082	+	8.66207i	0.0707873	+	0.317567i
$745$	77.4130	−	22.7305i	2.83619	−	0.832781i
$746$	−25.8897	−	29.8784i	−0.947891	−	1.09392i
$747$	12.2248	−	43.2680i	0.447281	−	1.58309i
$748$	−60.4590	+	38.8546i	−2.21060	+	1.42067i
$749$	6.72206	−	5.82470i	0.245619	−	0.212830i
$750$	69.8829	−	52.8742i	2.55176	−	1.93069i
$751$	12.6848	+	1.82380i	0.462876	+	0.0665516i	0.369808	−	0.929108i	$-0.379423\pi$
$751$	12.6848	+	1.82380i	0.462876	+	0.0665516i	0.0930682	+	0.995660i	$0.470333\pi$
$752$	7.78208	+	6.74321i	0.283783	+	0.245900i
$753$	4.61019	+	0.306010i	0.168005	+	0.0111516i
$754$	0.989123	+	0.290433i	0.0360217	+	0.0105769i
$755$	6.10052	+	13.3583i	0.222021	+	0.486157i
$756$	−22.8720	−	8.13286i	−0.831846	−	0.295789i
$757$	11.5808	−	18.0202i	0.420913	−	0.654954i	−0.564441	−	0.825473i	$-0.690908\pi$
$757$	11.5808	−	18.0202i	0.420913	−	0.654954i	0.985354	+	0.170520i	$0.0545447\pi$
$758$	6.17064			0.224128
$759$	−9.36380	+	16.1838i	−0.339884	+	0.587436i
$760$	−175.301			−6.35885
$761$	16.4842	−	25.6499i	0.597551	−	0.929808i	−0.402346	−	0.915488i	$-0.631805\pi$
$761$	16.4842	−	25.6499i	0.597551	−	0.929808i	0.999897	−	0.0143204i	$-0.00455849\pi$
$762$	21.2244	+	38.4009i	0.768880	+	1.39112i
$763$	5.45799	+	11.9513i	0.197592	+	0.432667i
$764$	13.8448	+	4.06519i	0.500886	+	0.147074i
$765$	23.1889	+	76.0830i	0.838395	+	2.75079i
$766$	10.6382	+	9.21806i	0.384374	+	0.333062i
$767$	−2.27738	−	0.327437i	−0.0822313	−	0.0118231i
$768$	−24.3612	−	32.1978i	−0.879060	−	1.16184i
$769$	28.0487	−	24.3043i	1.01146	−	0.876437i	0.0191023	−	0.999818i	$-0.493919\pi$
$769$	28.0487	−	24.3043i	1.01146	−	0.876437i	0.992359	+	0.123381i	$0.0393737\pi$
$770$	−18.9741	+	12.1939i	−0.683781	+	0.439439i
$771$	11.5311	−	15.5693i	0.415282	−	0.560713i
$772$	−4.73717	−	5.46698i	−0.170494	−	0.196761i
$773$	−27.8477	+	8.17683i	−1.00161	+	0.294100i	−0.741118	−	0.671375i	$-0.765704\pi$
$773$	−27.8477	+	8.17683i	−1.00161	+	0.294100i	−0.260496	+	0.965475i	$0.583886\pi$
$774$	27.0480	+	41.1547i	0.972219	+	1.47927i
$775$	4.88612	−	5.63889i	0.175515	−	0.202555i
$776$	−15.6005	+	34.1604i	−0.560026	+	1.22629i
$777$	0.585833	+	7.64100i	0.0210167	+	0.274119i
$778$	16.1122	−	7.35821i	0.577651	−	0.263805i
$779$	−2.25874	−	15.7099i	−0.0809277	−	0.562864i
$780$	−1.29247	+	6.09140i	−0.0462780	+	0.218107i
$781$			10.2588i			0.367090i
$782$	43.6250	+	72.5552i	1.56003	+	2.59457i
$783$	4.86859	−	9.25121i	0.173989	−	0.330611i
$784$	−7.13505	−	4.58542i	−0.254823	−	0.163765i
$785$	29.0417	−	4.17556i	1.03654	−	0.149032i
$786$	29.2623	−	29.5635i	1.04375	−	1.05449i
$787$	1.30781	−	4.45400i	0.0466185	−	0.158768i	−0.932894	−	0.360151i	$-0.882725\pi$
$787$	1.30781	−	4.45400i	0.0466185	−	0.158768i	0.979513	+	0.201383i	$0.0645435\pi$
$788$	−46.8668	−	21.4033i	−1.66956	−	0.762462i
$789$	5.39045	+	1.97915i	0.191905	+	0.0704597i
$790$	10.0840	−	70.1360i	0.358774	−	2.49533i
$791$	2.04027	+	6.94851i	0.0725435	+	0.247061i
$792$	−6.15923	+	46.1915i	−0.218859	+	1.64134i
$793$	−0.727864	−	1.13258i	−0.0258472	−	0.0402190i
$794$	−7.27919	−	11.3266i	−0.258329	−	0.401967i
$795$	13.1368	−	24.3538i	0.465913	−	0.863741i
$796$	8.61628	+	29.3444i	0.305396	+	1.04008i
$797$	0.489387	−	3.40376i	0.0173350	−	0.120567i	−0.979316	−	0.202334i	$-0.935147\pi$
$797$	0.489387	−	3.40376i	0.0173350	−	0.120567i	0.996651	+	0.0817669i	$0.0260563\pi$
$798$	10.0970	−	27.5004i	0.357431	−	0.973504i
$799$	7.54765	+	3.44690i	0.267017	+	0.121942i
$800$	22.9481	−	78.1539i	0.811336	−	2.76316i
$801$	−50.2111	−	22.3121i	−1.77412	−	0.788359i
$802$	−70.3320	+	10.1122i	−2.48351	+	0.357075i
$803$	−22.0543	−	14.1735i	−0.778280	−	0.500170i
$804$	69.4639	−	26.3146i	2.44980	−	0.928046i
$805$	9.58684	+	15.9444i	0.337892	+	0.561967i
$806$			0.380441i			0.0134005i
$807$	−12.9090	−	2.73904i	−0.454420	−	0.0964189i
$808$	4.71027	+	32.7606i	0.165707	+	1.15251i
$809$	30.2771	−	13.8271i	1.06449	−	0.486135i	0.195364	−	0.980731i	$-0.437411\pi$
$809$	30.2771	−	13.8271i	1.06449	−	0.486135i	0.869123	+	0.494595i	$0.164684\pi$
$810$	82.7821	+	35.7750i	2.90867	+	1.25700i
$811$	−15.9540	+	34.9343i	−0.560219	+	1.22671i	0.391624	+	0.920125i	$0.371913\pi$
$811$	−15.9540	+	34.9343i	−0.560219	+	1.22671i	−0.951844	+	0.306584i	$0.900814\pi$
$812$	6.15502	−	7.10327i	0.215999	−	0.249276i
$813$	−38.5010	+	8.58208i	−1.35029	+	0.300987i
$814$	24.6821	−	7.24732i	0.865107	−	0.254018i
$815$	−3.17159	−	3.66021i	−0.111096	−	0.128212i
$816$	80.6806	+	59.7546i	2.82438	+	2.09183i
$817$	−35.0098	+	22.4995i	−1.22484	+	0.787156i
$818$	26.2679	−	22.7612i	0.918435	−	0.795828i
$819$	−0.503918	−	0.316604i	−0.0176083	−	0.0110631i
$820$	43.4795	+	6.25141i	1.51837	+	0.218309i
$821$	−31.5207	−	27.3129i	−1.10008	−	0.953226i	−0.100950	−	0.994892i	$-0.532188\pi$
$821$	−31.5207	−	27.3129i	−1.10008	−	0.953226i	−0.999132	+	0.0416657i	$0.986734\pi$
$822$	−0.892173	+	13.4410i	−0.0311181	+	0.468810i
$823$	0.241654	+	0.0709561i	0.00842354	+	0.00247337i	0.285942	−	0.958247i	$-0.407694\pi$
$823$	0.241654	+	0.0709561i	0.00842354	+	0.00247337i	−0.277518	+	0.960720i	$0.589512\pi$
$824$	22.6695	+	49.6394i	0.789731	+	1.72927i
$825$	34.2899	−	18.9523i	1.19382	−	0.659834i
$826$	−16.1964	+	25.2022i	−0.563546	+	0.876895i
$827$	12.1967			0.424121			0.212060	−	0.977257i	$-0.431983\pi$
$827$	12.1967			0.424121			0.212060	+	0.977257i	$0.431983\pi$
$828$	66.3297	+	10.8682i	2.30512	+	0.377696i
$829$	41.6291			1.44584			0.722920	−	0.690932i	$-0.242799\pi$
$829$	41.6291			1.44584			0.722920	+	0.690932i	$0.242799\pi$
$830$	−81.1909	+	126.335i	−2.81818	+	4.38517i
$831$	22.9191	−	12.6675i	0.795053	−	0.439432i
$832$	0.327418	+	0.716946i	0.0113512	+	0.0248556i
$833$	−6.55753	−	1.92546i	−0.227205	−	0.0667134i
$834$	5.23168	−	78.8179i	0.181158	−	2.72924i
$835$	15.0455	+	13.0370i	0.520672	+	0.451165i
$836$	−68.1574	−	9.79955i	−2.35727	−	0.338925i
$837$	3.78201	+	0.762080i	0.130725	+	0.0263413i
$838$	−51.3585	+	44.5024i	−1.77415	+	1.53731i
$839$	−33.6634	+	21.6342i	−1.16219	+	0.746894i	−0.972029	−	0.234859i	$-0.924537\pi$
$839$	−33.6634	+	21.6342i	−1.16219	+	0.746894i	−0.190160	+	0.981753i	$0.560901\pi$
$840$	37.2619	+	27.5973i	1.28566	+	0.952199i
$841$	−16.3403	−	18.8577i	−0.563458	−	0.650265i
$842$	1.76928	−	0.519508i	0.0609735	−	0.0179034i
$843$	42.5904	−	9.49362i	1.46689	−	0.326978i
$844$	18.3844	−	21.2167i	0.632816	−	0.730308i
$845$	20.8865	−	45.7351i	0.718518	−	1.57333i
$846$	8.51715	−	3.99556i	0.292826	−	0.137370i
$847$	5.39718	−	2.46481i	0.185449	−	0.0846919i
$848$	−4.97082	−	34.5728i	−0.170699	−	1.18723i
$849$	20.7669	+	4.40631i	0.712717	+	0.151224i
$850$		−	177.398i		−	6.08471i
$851$	−5.36782	−	20.5289i	−0.184006	−	0.703721i
$852$	34.4870	−	13.0645i	1.18150	−	0.447583i
$853$	−16.8696	−	10.8415i	−0.577606	−	0.371205i	0.218981	−	0.975729i	$-0.429727\pi$
$853$	−16.8696	−	10.8415i	−0.577606	−	0.371205i	−0.796587	+	0.604525i	$0.793363\pi$
$854$	−17.3513	+	2.49473i	−0.593748	+	0.0853680i
$855$	−30.9463	+	69.6415i	−1.05834	+	2.38169i
$856$	−17.2930	+	58.8944i	−0.591062	+	2.01297i
$857$	30.5237	+	13.9397i	1.04267	+	0.476172i	0.861754	−	0.507326i	$-0.169366\pi$
$857$	30.5237	+	13.9397i	1.04267	+	0.476172i	0.180917	+	0.983498i	$0.442093\pi$
$858$	−0.688523	+	1.87527i	−0.0235058	+	0.0640207i
$859$	4.04059	−	28.1029i	0.137863	−	0.958860i	−0.797032	−	0.603937i	$-0.793598\pi$
$859$	4.04059	−	28.1029i	0.137863	−	0.958860i	0.934895	−	0.354923i	$-0.115493\pi$
$860$	−32.4498	−	110.514i	−1.10653	−	3.76850i
$861$	−1.99306	+	3.69486i	−0.0679232	+	0.125921i
$862$	21.1132	+	32.8528i	0.719119	+	1.11897i
$863$	−15.2212	−	23.6847i	−0.518136	−	0.806236i	0.479311	−	0.877645i	$-0.340887\pi$
$863$	−15.2212	−	23.6847i	−0.518136	−	0.806236i	−0.997447	+	0.0714096i	$0.977250\pi$
$864$	41.0122	−	9.58371i	1.39526	−	0.326044i
$865$	7.71922	+	26.2893i	0.262461	+	0.893861i
$866$	−6.48329	+	45.0923i	−0.220311	+	1.53230i
$867$	48.3039	+	17.7352i	1.64049	+	0.602320i
$868$	3.15518	+	1.44092i	0.107094	+	0.0489081i
$869$	4.48441	−	15.2725i	0.152123	−	0.518084i
$870$	−24.5635	+	24.8164i	−0.832781	+	0.841353i
$871$	1.80254	−	0.259166i	0.0610768	−	0.00878151i
$872$	−76.2755	−	49.0193i	−2.58302	−	1.66000i
$873$	10.8168	+	12.2280i	0.366093	+	0.413854i
$874$	−13.9350	+	79.9094i	−0.471358	+	2.70298i
$875$		−	19.5876i		−	0.662182i
$876$	−19.5608	+	92.1895i	−0.660897	+	3.11479i
$877$	4.16349	+	28.9577i	0.140591	+	0.977832i	0.930939	+	0.365174i	$0.118990\pi$
$877$	4.16349	+	28.9577i	0.140591	+	0.977832i	−0.790348	+	0.612658i	$0.790100\pi$
$878$	−8.36885	+	3.82193i	−0.282435	+	0.128984i
$879$	−3.84440	−	50.1423i	−0.129668	−	1.69126i
$880$	30.7659	−	67.3679i	1.03712	−	2.27097i
$881$	−4.06205	+	4.68786i	−0.136854	+	0.157938i	−0.820039	−	0.572307i	$-0.806049\pi$
$881$	−4.06205	+	4.68786i	−0.136854	+	0.157938i	0.683186	+	0.730245i	$0.260594\pi$
$882$	−6.47554	+	4.25590i	−0.218043	+	0.143304i
$883$	−31.9054	+	9.36827i	−1.07370	+	0.315267i	−0.770357	−	0.637613i	$-0.779922\pi$
$883$	−31.9054	+	9.36827i	−1.07370	+	0.315267i	−0.303346	+	0.952881i	$0.598104\pi$
$884$	4.14772	+	4.78672i	0.139503	+	0.160995i
$885$	46.3822	−	62.6252i	1.55912	−	2.10512i
$886$	46.7334	−	30.0337i	1.57004	−	1.00900i
$887$	−17.4503	+	15.1208i	−0.585924	+	0.507706i	−0.896618	−	0.442804i	$-0.853984\pi$
$887$	−17.4503	+	15.1208i	−0.585924	+	0.507706i	0.310695	+	0.950510i	$0.399438\pi$
$888$	−31.9090	−	42.1736i	−1.07080	−	1.41525i
$889$	9.70744	+	1.39572i	0.325577	+	0.0468109i
$890$	138.696	+	120.180i	4.64909	+	4.02846i
$891$	17.2631	+	10.6011i	0.578334	+	0.355151i
$892$	57.8844	+	16.9964i	1.93811	+	0.569082i
$893$	3.30256	+	7.23159i	0.110516	+	0.241996i
$894$	−45.0094	−	81.4344i	−1.50534	−	2.72358i
$895$	17.1100	−	26.6236i	0.571923	−	0.889930i
$896$	−5.94836			−0.198721
$897$	1.52922	+	0.613854i	0.0510590	+	0.0204960i
$898$	−65.2005			−2.17577
$899$	−0.807599	+	1.25665i	−0.0269349	+	0.0419116i
$900$	−107.380	−	91.1365i	−3.57932	−	3.03788i
$901$	−11.6920	−	25.6018i	−0.389516	−	0.852921i
$902$	13.5212	+	3.97018i	0.450207	+	0.132193i
$903$	10.9837	+	0.729063i	0.365515	+	0.0242617i
$904$	−37.7690	−	32.7270i	−1.25618	−	1.08849i
$905$	97.8677	+	14.0712i	3.25323	+	0.467744i
$906$	13.5057	−	10.2186i	0.448697	−	0.339489i
$907$	−19.4582	+	16.8606i	−0.646100	+	0.559849i	−0.915068	−	0.403301i	$-0.867863\pi$
$907$	−19.4582	+	16.8606i	−0.646100	+	0.559849i	0.268968	+	0.963149i	$0.413317\pi$
$908$	−45.7626	+	29.4098i	−1.51869	+	0.976000i
$909$	13.8462	+	3.91206i	0.459250	+	0.129755i
$910$	1.30170	+	1.50224i	0.0431509	+	0.0497988i
$911$	34.1907	−	10.0393i	1.13279	−	0.332617i	0.338986	−	0.940791i	$-0.389916\pi$
$911$	34.1907	−	10.0393i	1.13279	−	0.332617i	0.793803	+	0.608175i	$0.208098\pi$
$912$	20.9287	+	93.8905i	0.693018	+	3.10903i
$913$	−22.0918	+	25.4953i	−0.731132	+	0.843771i
$914$	−22.7180	+	49.7456i	−0.751446	+	1.64544i
$915$	45.4674	−	3.48598i	1.50311	−	0.115243i
$916$	−24.9561	+	11.3971i	−0.824574	+	0.376570i
$917$	−1.32321	−	9.20313i	−0.0436963	−	0.303914i
$918$	79.8224	−	45.1916i	2.63453	−	1.49155i
$919$			34.0937i			1.12465i	0.826918	+	0.562323i	$0.190092\pi$
$919$			34.0937i			1.12465i	−0.826918	+	0.562323i	$0.809908\pi$
$920$	−115.143	−	56.7965i	−3.79616	−	1.87253i
$921$	−9.63845	−	25.4431i	−0.317598	−	0.838377i
$922$	43.9764	+	28.2619i	1.44829	+	0.930757i
$923$	0.894913	−	0.128669i	0.0294564	−	0.00423519i
$924$	12.9447	+	12.8129i	0.425851	+	0.421512i
$925$	−12.5266	+	42.6615i	−0.411871	+	1.40270i
$926$	17.5655	+	8.02187i	0.577237	+	0.263615i
$927$	23.7220	−	0.242931i	0.779132	−	0.00797891i
$928$	−2.32076	+	16.1413i	−0.0761828	+	0.529863i
$929$	−0.830282	−	2.82768i	−0.0272407	−	0.0927732i	0.944751	−	0.327790i	$-0.106304\pi$
$929$	−0.830282	−	2.82768i	−0.0272407	−	0.0927732i	−0.971991	+	0.235017i	$0.924486\pi$
$930$	−11.3413	−	6.11763i	−0.371895	−	0.200605i
$931$	−3.54021	−	5.50868i	−0.116026	−	0.180540i
$932$	5.86735	+	9.12978i	0.192191	+	0.299056i
$933$	−29.5742	−	15.9527i	−0.968217	−	0.522269i
$934$	26.4100	+	89.9442i	0.864161	+	2.94306i
$935$	8.49308	−	59.0707i	0.277753	−	1.93182i
$936$	4.10669	−	0.0420556i	0.134231	−	0.00137463i
$937$	6.93213	+	3.16580i	0.226463	+	0.103422i	0.525415	−	0.850846i	$-0.323910\pi$
$937$	6.93213	+	3.16580i	0.226463	+	0.103422i	−0.298952	+	0.954268i	$0.596637\pi$
$938$	6.68033	−	22.7511i	0.218121	−	0.742851i
$939$	17.0179	+	16.8445i	0.555358	+	0.549699i
$940$	−21.7790	+	3.13134i	−0.710352	+	0.102133i
$941$	−7.65422	−	4.91907i	−0.249520	−	0.160357i	0.409902	−	0.912129i	$-0.365563\pi$
$941$	−7.65422	−	4.91907i	−0.249520	−	0.160357i	−0.659423	+	0.751772i	$0.729199\pi$
$942$	−11.9869	−	31.6423i	−0.390553	−	1.03096i
$943$	3.60629	−	11.0505i	0.117437	−	0.359855i
$944$		−	98.3700i		−	3.20167i
$945$	17.5414	−	9.93112i	0.570623	−	0.323059i
$946$	−5.25861	−	36.5744i	−0.170972	−	1.18914i
$947$	11.9749	−	5.46876i	0.389132	−	0.177711i	−0.211235	−	0.977435i	$-0.567748\pi$
$947$	11.9749	−	5.46876i	0.389132	−	0.177711i	0.600367	+	0.799725i	$0.295021\pi$
$948$	−57.0522	+	4.37418i	−1.85297	+	0.142067i
$949$	−0.959788	+	2.10164i	−0.0311560	+	0.0682222i
$950$	111.307	−	128.455i	3.61126	−	4.16762i
$951$	−2.38364	−	10.6935i	−0.0772949	−	0.346761i
$952$	45.2531	−	13.2875i	1.46666	−	0.430650i
$953$	−24.0769	−	27.7862i	−0.779927	−	0.900084i	0.217177	−	0.976132i	$-0.430315\pi$
$953$	−24.0769	−	27.7862i	−0.779927	−	0.900084i	−0.997104	+	0.0760486i	$0.975770\pi$
$954$	−30.7093	−	8.67649i	−0.994250	−	0.280912i
$955$	−10.0798	+	6.47790i	−0.326175	+	0.209620i
$956$	91.6275	−	79.3957i	2.96345	−	2.56784i
$957$	−6.25511	+	4.73268i	−0.202199	+	0.152986i
$958$	111.243	+	15.9943i	3.59410	+	0.516753i
$959$	2.27555	+	1.97177i	0.0734813	+	0.0636719i
$960$	−26.6378	−	1.76813i	−0.859731	−	0.0570662i
$961$	29.2153	+	8.57840i	0.942430	+	0.276723i
$962$	−0.941778	−	2.06221i	−0.0303642	−	0.0664882i
$963$	20.3441	+	17.2667i	0.655578	+	0.556411i
$964$	50.5515	−	78.6597i	1.62815	−	2.53346i
$965$	6.00691			0.193369
$966$	15.5420	−	14.7917i	0.500055	−	0.475916i
$967$	34.9423			1.12367			0.561834	−	0.827250i	$-0.310096\pi$
$967$	34.9423			1.12367			0.561834	+	0.827250i	$0.310096\pi$
$968$	−22.1370	+	34.4458i	−0.711509	+	1.10713i
$969$	37.4963	+	67.8412i	1.20456	+	2.17937i
$970$	−22.6520	−	49.6010i	−0.727312	−	1.59259i
$971$	4.47417	+	1.31373i	0.143583	+	0.0421598i	0.352734	−	0.935724i	$-0.385252\pi$
$971$	4.47417	+	1.31373i	0.143583	+	0.0421598i	−0.209151	+	0.977883i	$0.567070\pi$
$972$	13.6534	−	71.5334i	0.437932	−	2.29444i
$973$	−13.3438	−	11.5624i	−0.427781	−	0.370674i
$974$	−74.3442	−	10.6891i	−2.38214	−	0.342500i
$975$	−2.08335	−	2.75353i	−0.0667205	−	0.0881834i
$976$	43.5015	−	37.6942i	1.39245	−	1.20656i
$977$	−1.75676	+	1.12900i	−0.0562037	+	0.0361199i	−0.568441	−	0.822724i	$-0.692453\pi$
$977$	−1.75676	+	1.12900i	−0.0562037	+	0.0361199i	0.512237	+	0.858844i	$0.328817\pi$
$978$	−3.32424	+	4.48839i	−0.106297	+	0.143523i
$979$	26.9971	+	31.1563i	0.862832	+	0.995761i
$980$	17.3890	−	5.10587i	0.555471	−	0.163101i
$981$	−32.9388	+	21.6483i	−1.05166	+	0.691177i
$982$	−64.4416	+	74.3695i	−2.05641	+	2.37323i
$983$	−11.2236	+	24.5762i	−0.357977	+	0.783861i	0.641877	+	0.766807i	$0.278156\pi$
$983$	−11.2236	+	24.5762i	−0.357977	+	0.783861i	−0.999855	+	0.0170534i	$0.994571\pi$
$984$	−2.21470	−	28.8862i	−0.0706020	−	0.920859i
$985$	38.9176	−	17.7731i	1.24002	−	0.566297i
$986$	5.05442	+	35.1543i	0.160966	+	1.11954i
$987$	0.436466	−	2.05705i	0.0138929	−	0.0654768i
$988$			6.06851i			0.193065i
$989$	−30.2852	+	3.43536i	−0.963013	+	0.109238i
$990$	−44.8317	−	50.6805i	−1.42485	−	1.61073i
$991$	7.44534	+	4.78483i	0.236509	+	0.151995i	0.653527	−	0.756903i	$-0.273289\pi$
$991$	7.44534	+	4.78483i	0.236509	+	0.151995i	−0.417018	+	0.908898i	$0.636925\pi$
$992$	−5.95684	+	0.856465i	−0.189130	+	0.0271928i
$993$	5.79812	−	5.85780i	0.183998	−	0.185892i
$994$	3.31660	−	11.2953i	0.105196	−	0.358266i
$995$	−23.1009	−	10.5498i	−0.732349	−	0.334453i
$996$	113.841	+	41.7977i	3.60719	+	1.32441i
$997$	−5.39065	+	37.4928i	−0.170724	+	1.18741i	0.706637	+	0.707576i	$0.250211\pi$
$997$	−5.39065	+	37.4928i	−0.170724	+	1.18741i	−0.877360	+	0.479832i	$0.840698\pi$
$998$	12.3774	+	42.1536i	0.391800	+	1.33435i
$999$	−22.3872	+	5.23142i	−0.708298	+	0.165515i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.u.a.113.4	✓	480
3.2	odd	2	inner	483.2.u.a.113.45	yes	480
23.11	odd	22	inner	483.2.u.a.218.45	yes	480
69.11	even	22	inner	483.2.u.a.218.4	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.u.a.113.4	✓	480	1.1	even	1	trivial
483.2.u.a.113.45	yes	480	3.2	odd	2	inner
483.2.u.a.218.4	yes	480	69.11	even	22	inner
483.2.u.a.218.45	yes	480	23.11	odd	22	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.u (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39646 + 2.17293i) q^{2} +(-1.51591 + 0.837856i) q^{3} +(-1.94070 - 4.24954i) q^{4} +(3.72219 + 1.09293i) q^{5} +(0.296307 - 4.46400i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(6.83069 + 0.982105i) q^{8} +(1.59599 - 2.54024i) q^{9} +O(q^{10})\)	\(q+(-1.39646 + 2.17293i) q^{2} +(-1.51591 + 0.837856i) q^{3} +(-1.94070 - 4.24954i) q^{4} +(3.72219 + 1.09293i) q^{5} +(0.296307 - 4.46400i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(6.83069 + 0.982105i) q^{8} +(1.59599 - 2.54024i) q^{9} +(-7.57275 + 6.56182i) q^{10} +(-1.89359 + 1.21694i) q^{11} +(6.50243 + 4.81591i) q^{12} +(0.129908 + 0.149921i) q^{13} +(2.47834 - 0.727705i) q^{14} +(-6.55825 + 1.46187i) q^{15} +(-5.55417 + 6.40986i) q^{16} +(-2.83910 + 6.21676i) q^{17} +(3.29102 + 7.01531i) q^{18} +(-5.95643 + 2.72021i) q^{19} +(-2.57919 - 17.9387i) q^{20} +(1.69433 + 0.359503i) q^{21} -5.81404i q^{22} +(-4.79370 - 0.143129i) q^{23} +(-11.1776 + 4.23435i) q^{24} +(8.45394 + 5.43302i) q^{25} +(-0.507179 + 0.0729213i) q^{26} +(-0.291036 + 5.18800i) q^{27} +(-1.31617 + 4.48247i) q^{28} +(-1.83008 - 0.835770i) q^{29} +(5.98177 - 16.2920i) q^{30} +(0.105665 - 0.734919i) q^{31} +(-2.28357 - 7.77711i) q^{32} +(1.85091 - 3.43133i) q^{33} +(-9.54390 - 14.8506i) q^{34} +(-2.09733 - 3.26350i) q^{35} +(-13.8922 - 1.85240i) q^{36} +(1.24652 + 4.24526i) q^{37} +(2.40707 - 16.7416i) q^{38} +(-0.322541 - 0.118424i) q^{39} +(24.3518 + 11.1211i) q^{40} +(-0.682861 + 2.32561i) q^{41} +(-3.14723 + 3.17963i) q^{42} +(6.29071 - 0.904467i) q^{43} +(8.84632 + 5.68518i) q^{44} +(8.71691 - 7.71094i) q^{45} +(7.00520 - 10.2165i) q^{46} -1.21408i q^{47} +(3.04911 - 14.3704i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-23.6111 + 10.7828i) q^{50} +(-0.904920 - 11.8028i) q^{51} +(0.384985 - 0.843000i) q^{52} +(-2.69685 + 3.11233i) q^{53} +(-10.8667 - 7.87721i) q^{54} +(-8.37835 + 2.46011i) q^{55} +(-4.51915 - 5.21538i) q^{56} +(6.75030 - 9.11424i) q^{57} +(4.37169 - 2.80952i) q^{58} +(-8.76537 + 7.59524i) q^{59} +(18.9398 + 25.0325i) q^{60} +(-6.71757 - 0.965841i) q^{61} +(1.44937 + 1.25589i) q^{62} +(-2.86967 + 0.874630i) q^{63} +(3.81221 + 1.11937i) q^{64} +(0.319687 + 0.700017i) q^{65} +(4.87133 + 8.81359i) q^{66} +(4.96308 - 7.72270i) q^{67} +31.9282 q^{68} +(7.38675 - 3.79946i) q^{69} +10.0202 q^{70} +(2.46403 - 3.83411i) q^{71} +(13.3965 - 15.7841i) q^{72} +(4.83826 + 10.5943i) q^{73} +(-10.9654 - 3.21972i) q^{74} +(-17.3675 - 1.15280i) q^{75} +(23.1193 + 20.0330i) q^{76} +(2.22801 + 0.320339i) q^{77} +(0.707742 - 0.535486i) q^{78} +(-5.34425 + 4.63082i) q^{79} +(-27.6793 + 17.7884i) q^{80} +(-3.90561 - 8.10840i) q^{81} +(-4.09980 - 4.73142i) q^{82} +(14.3802 - 4.22240i) q^{83} +(-1.76046 - 7.89781i) q^{84} +(-17.3622 + 20.0370i) q^{85} +(-6.81936 + 14.9323i) q^{86} +(3.47450 - 0.266389i) q^{87} +(-14.1297 + 6.45282i) q^{88} +(-2.60651 - 18.1287i) q^{89} +(4.58253 + 29.7092i) q^{90} -0.198374i q^{91} +(8.69489 + 20.6488i) q^{92} +(0.455577 + 1.20261i) q^{93} +(2.63811 + 1.69541i) q^{94} +(-25.1440 + 3.61516i) q^{95} +(9.97779 + 9.87613i) q^{96} +(-1.53315 + 5.22145i) q^{97} +(-2.34955 - 1.07300i) q^{98} +(0.0691497 + 6.75240i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q + 4 q^{3} + 40 q^{4} - 6 q^{6} - 4 q^{9}+O(q^{10}) \) 480 * q + 4 * q^3 + 40 * q^4 - 6 * q^6 - 4 * q^9	\( 480 q + 4 q^{3} + 40 q^{4} - 6 q^{6} - 4 q^{9} - 22 q^{12} + 8 q^{13} - 22 q^{15} - 24 q^{16} - 30 q^{18} - 120 q^{24} - 88 q^{25} + 16 q^{27} - 44 q^{30} + 8 q^{31} - 22 q^{33} - 44 q^{34} + 10 q^{36} - 44 q^{37} - 308 q^{40} - 44 q^{43} - 184 q^{46} + 98 q^{48} + 48 q^{49} - 28 q^{52} + 28 q^{54} - 44 q^{55} + 66 q^{57} + 4 q^{58} + 220 q^{60} + 84 q^{64} + 176 q^{66} + 44 q^{67} + 102 q^{69} - 8 q^{70} - 60 q^{72} + 4 q^{73} - 8 q^{75} + 176 q^{76} + 18 q^{78} - 16 q^{81} + 20 q^{82} - 154 q^{84} + 84 q^{85} + 28 q^{87} - 418 q^{90} - 188 q^{93} + 12 q^{94} - 412 q^{96} - 132 q^{97}+O(q^{100}) \) 480 * q + 4 * q^3 + 40 * q^4 - 6 * q^6 - 4 * q^9 - 22 * q^12 + 8 * q^13 - 22 * q^15 - 24 * q^16 - 30 * q^18 - 120 * q^24 - 88 * q^25 + 16 * q^27 - 44 * q^30 + 8 * q^31 - 22 * q^33 - 44 * q^34 + 10 * q^36 - 44 * q^37 - 308 * q^40 - 44 * q^43 - 184 * q^46 + 98 * q^48 + 48 * q^49 - 28 * q^52 + 28 * q^54 - 44 * q^55 + 66 * q^57 + 4 * q^58 + 220 * q^60 + 84 * q^64 + 176 * q^66 + 44 * q^67 + 102 * q^69 - 8 * q^70 - 60 * q^72 + 4 * q^73 - 8 * q^75 + 176 * q^76 + 18 * q^78 - 16 * q^81 + 20 * q^82 - 154 * q^84 + 84 * q^85 + 28 * q^87 - 418 * q^90 - 188 * q^93 + 12 * q^94 - 412 * q^96 - 132 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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