LMFDB - Embedded newform 350.2.x.a.3.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(3,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([21, 10]))

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

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

chi := DirichletCharacter("350.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			3.19
Character	$\chi$	$=$	350.3
Dual form			350.2.x.a.117.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.544639 - 0.838671i) q^{2} +(0.894901 - 2.33130i) q^{3} +(-0.406737 - 0.913545i) q^{4} +(0.406439 + 2.19882i) q^{5} +(-1.46779 - 2.02024i) q^{6} +(-1.33531 - 2.28406i) q^{7} +(-0.987688 - 0.156434i) q^{8} +(-2.40466 - 2.16517i) q^{9} +(2.06545 + 0.856694i) q^{10} +(-2.84566 - 3.16043i) q^{11} +(-2.49373 + 0.130691i) q^{12} +(-0.691054 - 0.352110i) q^{13} +(-2.64284 - 0.124107i) q^{14} +(5.48982 + 1.02020i) q^{15} +(-0.669131 + 0.743145i) q^{16} +(3.04697 - 3.76270i) q^{17} +(-3.12554 + 0.837485i) q^{18} +(4.40043 + 1.95920i) q^{19} +(1.84341 - 1.26564i) q^{20} +(-6.51980 + 1.06899i) q^{21} +(-4.20041 + 0.665280i) q^{22} +(7.12692 + 4.62828i) q^{23} +(-1.24858 + 2.16260i) q^{24} +(-4.66961 + 1.78737i) q^{25} +(-0.671679 + 0.387794i) q^{26} +(-0.524637 + 0.267316i) q^{27} +(-1.54348 + 2.14888i) q^{28} +(1.98115 - 2.72681i) q^{29} +(3.84558 - 4.04852i) q^{30} +(-0.556378 + 0.0584777i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-9.91447 + 3.80581i) q^{33} +(-1.49616 - 4.60472i) q^{34} +(4.47952 - 3.86444i) q^{35} +(-0.999915 + 3.07742i) q^{36} +(0.487443 + 9.30096i) q^{37} +(4.03976 - 2.62345i) q^{38} +(-1.43930 + 1.29595i) q^{39} +(-0.0574641 - 2.23533i) q^{40} +(-8.87410 + 2.88337i) q^{41} +(-2.65441 + 6.05018i) q^{42} +(4.84614 + 4.84614i) q^{43} +(-1.72976 + 3.88510i) q^{44} +(3.78347 - 6.16743i) q^{45} +(7.76320 - 3.45640i) q^{46} +(0.835673 - 0.676715i) q^{47} +(1.13369 + 2.22498i) q^{48} +(-3.43390 + 6.09986i) q^{49} +(-1.04424 + 4.88974i) q^{50} +(-6.04523 - 10.4706i) q^{51} +(-0.0405911 + 0.774525i) q^{52} +(7.81491 + 2.99986i) q^{53} +(-0.0615478 + 0.585588i) q^{54} +(5.79262 - 7.54161i) q^{55} +(0.961562 + 2.46483i) q^{56} +(8.50541 - 8.50541i) q^{57} +(-1.20789 - 3.14666i) q^{58} +(3.59544 + 0.764235i) q^{59} +(-1.30092 - 5.43015i) q^{60} +(-1.73612 - 8.16781i) q^{61} +(-0.253982 + 0.498467i) q^{62} +(-1.73442 + 8.38357i) q^{63} +(0.951057 + 0.309017i) q^{64} +(0.493354 - 1.66261i) q^{65} +(-2.20799 + 10.3878i) q^{66} +(-2.58259 - 2.09134i) q^{67} +(-4.67671 - 1.25312i) q^{68} +(17.1678 - 12.4731i) q^{69} +(-0.801264 - 5.86157i) q^{70} +(0.714471 + 0.519094i) q^{71} +(2.03635 + 2.51468i) q^{72} +(0.328678 + 0.0172253i) q^{73} +(8.06593 + 4.65686i) q^{74} +(-0.0119458 + 12.4858i) q^{75} -4.81687i q^{76} +(-3.41878 + 10.7198i) q^{77} +(0.302977 + 1.91292i) q^{78} +(8.09904 + 0.851243i) q^{79} +(-1.90600 - 1.16925i) q^{80} +(-0.861003 - 8.19190i) q^{81} +(-2.41498 + 9.01284i) q^{82} +(1.74825 - 11.0380i) q^{83} +(3.62841 + 5.52134i) q^{84} +(9.51191 + 5.17044i) q^{85} +(6.70371 - 1.42492i) q^{86} +(-4.58408 - 7.05887i) q^{87} +(2.31623 + 3.56667i) q^{88} +(-4.40945 + 0.937257i) q^{89} +(-3.11182 - 6.53210i) q^{90} +(0.118529 + 2.04859i) q^{91} +(1.32936 - 8.39326i) q^{92} +(-0.361574 + 1.34941i) q^{93} +(-0.112401 - 1.06942i) q^{94} +(-2.51941 + 10.4720i) q^{95} +(2.48348 + 0.261024i) q^{96} +(1.46109 + 9.22498i) q^{97} +(3.24554 + 6.20214i) q^{98} +13.7611i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) $ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

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

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{20}\right)$

Coefficient data

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

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

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

$2$	0.544639	−	0.838671i	0.385118	−	0.593030i
$2$	0.544639	−	0.838671i	0.385118	−	0.593030i
$3$	0.894901	−	2.33130i	0.516671	−	1.34597i	−0.388704	−	0.921363i	$-0.627077\pi$
$3$	0.894901	−	2.33130i	0.516671	−	1.34597i	0.905375	−	0.424612i	$-0.139590\pi$
$4$	−0.406737	−	0.913545i	−0.203368	−	0.456773i
$5$	0.406439	+	2.19882i	0.181765	+	0.983342i
$5$	0.406439	+	2.19882i	0.181765	+	0.983342i
$6$	−1.46779	−	2.02024i	−0.599224	−	0.824761i
$7$	−1.33531	−	2.28406i	−0.504699	−	0.863295i
$7$	−1.33531	−	2.28406i	−0.504699	−	0.863295i
$8$	−0.987688	−	0.156434i	−0.349201	−	0.0553079i
$9$	−2.40466	−	2.16517i	−0.801554	−	0.721723i
$10$	2.06545	+	0.856694i	0.653152	+	0.270911i
$11$	−2.84566	−	3.16043i	−0.857999	−	0.952904i	0.141314	−	0.989965i	$-0.454867\pi$
$11$	−2.84566	−	3.16043i	−0.857999	−	0.952904i	−0.999313	+	0.0370606i	$0.988201\pi$
$12$	−2.49373	+	0.130691i	−0.719879	+	0.0377273i
$13$	−0.691054	−	0.352110i	−0.191664	−	0.0976576i	0.355525	−	0.934667i	$-0.384302\pi$
$13$	−0.691054	−	0.352110i	−0.191664	−	0.0976576i	−0.547189	+	0.837009i	$0.684302\pi$
$14$	−2.64284	−	0.124107i	−0.706328	−	0.0331690i
$15$	5.48982	+	1.02020i	1.41747	+	0.263413i
$16$	−0.669131	+	0.743145i	−0.167283	+	0.185786i
$17$	3.04697	−	3.76270i	0.739000	−	0.912589i	−0.259588	−	0.965719i	$-0.583587\pi$
$17$	3.04697	−	3.76270i	0.739000	−	0.912589i	0.998588	+	0.0531309i	$0.0169201\pi$
$18$	−3.12554	+	0.837485i	−0.736696	+	0.197397i
$19$	4.40043	+	1.95920i	1.00953	+	0.449470i	0.843775	−	0.536697i	$-0.180328\pi$
$19$	4.40043	+	1.95920i	1.00953	+	0.449470i	0.165752	+	0.986167i	$0.446995\pi$
$20$	1.84341	−	1.26564i	0.412199	−	0.283006i
$21$	−6.51980	+	1.06899i	−1.42274	+	0.233272i
$22$	−4.20041	+	0.665280i	−0.895531	+	0.141838i
$23$	7.12692	+	4.62828i	1.48607	+	0.965063i	0.995610	+	0.0935969i	$0.0298365\pi$
$23$	7.12692	+	4.62828i	1.48607	+	0.965063i	0.490456	+	0.871466i	$0.336830\pi$
$24$	−1.24858	+	2.16260i	−0.254865	+	0.441439i
$25$	−4.66961	+	1.78737i	−0.933923	+	0.357475i
$26$	−0.671679	+	0.387794i	−0.131727	+	0.0760526i
$27$	−0.524637	+	0.267316i	−0.100966	+	0.0514450i
$28$	−1.54348	+	2.14888i	−0.291690	+	0.406100i
$29$	1.98115	−	2.72681i	0.367889	−	0.506356i	−0.584436	−	0.811440i	$-0.698684\pi$
$29$	1.98115	−	2.72681i	0.367889	−	0.506356i	0.952326	+	0.305083i	$0.0986843\pi$
$30$	3.84558	−	4.04852i	0.702104	−	0.739154i
$31$	−0.556378	+	0.0584777i	−0.0999284	+	0.0105029i	−0.154361	−	0.988015i	$-0.549332\pi$
$31$	−0.556378	+	0.0584777i	−0.0999284	+	0.0105029i	0.0544322	+	0.998517i	$0.482665\pi$
$32$	0.258819	+	0.965926i	0.0457532	+	0.170753i
$33$	−9.91447	+	3.80581i	−1.72589	+	0.662507i
$34$	−1.49616	−	4.60472i	−0.256590	−	0.789703i
$35$	4.47952	−	3.86444i	0.757178	−	0.653209i
$36$	−0.999915	+	3.07742i	−0.166653	+	0.512904i
$37$	0.487443	+	9.30096i	0.0801351	+	1.52907i	0.682522	+	0.730865i	$0.260883\pi$
$37$	0.487443	+	9.30096i	0.0801351	+	1.52907i	−0.602387	+	0.798204i	$0.705784\pi$
$38$	4.03976	−	2.62345i	0.655336	−	0.425580i
$39$	−1.43930	+	1.29595i	−0.230472	+	0.207518i
$40$	−0.0574641	−	2.23533i	−0.00908587	−	0.353437i
$41$	−8.87410	+	2.88337i	−1.38590	+	0.450307i	−0.904605	−	0.426251i	$-0.859834\pi$
$41$	−8.87410	+	2.88337i	−1.38590	+	0.450307i	−0.481297	+	0.876558i	$0.659834\pi$
$42$	−2.65441	+	6.05018i	−0.409584	+	0.933563i
$43$	4.84614	+	4.84614i	0.739029	+	0.739029i	0.972390	−	0.233361i	$-0.0749724\pi$
$43$	4.84614	+	4.84614i	0.739029	+	0.739029i	−0.233361	+	0.972390i	$0.574972\pi$
$44$	−1.72976	+	3.88510i	−0.260771	+	0.585701i
$45$	3.78347	−	6.16743i	0.564006	−	0.919386i
$46$	7.76320	−	3.45640i	1.14462	−	0.509618i
$47$	0.835673	−	0.676715i	0.121895	−	0.0987090i	−0.566434	−	0.824107i	$-0.691678\pi$
$47$	0.835673	−	0.676715i	0.121895	−	0.0987090i	0.688330	+	0.725398i	$0.258344\pi$
$48$	1.13369	+	2.22498i	0.163633	+	0.321149i
$49$	−3.43390	+	6.09986i	−0.490558	+	0.871409i
$50$	−1.04424	+	4.88974i	−0.147677	+	0.691514i
$51$	−6.04523	−	10.4706i	−0.846501	−	1.46618i
$52$	−0.0405911	+	0.774525i	−0.00562898	+	0.107407i
$53$	7.81491	+	2.99986i	1.07346	+	0.412063i	0.829951	−	0.557836i	$-0.188368\pi$
$53$	7.81491	+	2.99986i	1.07346	+	0.412063i	0.243509	+	0.969899i	$0.421702\pi$
$54$	−0.0615478	+	0.585588i	−0.00837559	+	0.0796885i
$55$	5.79262	−	7.54161i	0.781076	−	1.01691i
$56$	0.961562	+	2.46483i	0.128494	+	0.329377i
$57$	8.50541	−	8.50541i	1.12657	−	1.12657i
$58$	−1.20789	−	3.14666i	−0.158604	−	0.413176i
$59$	3.59544	+	0.764235i	0.468087	+	0.0994949i	0.435916	−	0.899988i	$-0.356425\pi$
$59$	3.59544	+	0.764235i	0.468087	+	0.0994949i	0.0321709	+	0.999482i	$0.489758\pi$
$60$	−1.30092	−	5.43015i	−0.167948	−	0.701030i
$61$	−1.73612	−	8.16781i	−0.222288	−	1.04578i	−0.937799	−	0.347179i	$-0.887139\pi$
$61$	−1.73612	−	8.16781i	−0.222288	−	1.04578i	0.715511	−	0.698601i	$-0.246194\pi$
$62$	−0.253982	+	0.498467i	−0.0322557	+	0.0633054i
$63$	−1.73442	+	8.38357i	−0.218516	+	1.05623i
$64$	0.951057	+	0.309017i	0.118882	+	0.0386271i
$65$	0.493354	−	1.66261i	0.0611930	−	0.206222i
$66$	−2.20799	+	10.3878i	−0.271785	+	1.27865i
$67$	−2.58259	−	2.09134i	−0.315513	−	0.255498i	0.458461	−	0.888714i	$-0.348401\pi$
$67$	−2.58259	−	2.09134i	−0.315513	−	0.255498i	−0.773975	+	0.633217i	$0.781734\pi$
$68$	−4.67671	−	1.25312i	−0.567135	−	0.151963i
$69$	17.1678	−	12.4731i	2.06676	−	1.50159i
$70$	−0.801264	−	5.86157i	−0.0957694	−	0.700591i
$71$	0.714471	+	0.519094i	0.0847921	+	0.0616051i	0.629374	−	0.777103i	$-0.283312\pi$
$71$	0.714471	+	0.519094i	0.0847921	+	0.0616051i	−0.544582	+	0.838708i	$0.683312\pi$
$72$	2.03635	+	2.51468i	0.239986	+	0.296358i
$73$	0.328678	+	0.0172253i	0.0384688	+	0.00201607i	0.0715607	−	0.997436i	$-0.477202\pi$
$73$	0.328678	+	0.0172253i	0.0384688	+	0.00201607i	−0.0330918	+	0.999452i	$0.510535\pi$
$74$	8.06593	+	4.65686i	0.937645	+	0.541349i
$75$	−0.0119458	+	12.4858i	−0.00137938	+	1.44173i
$76$		−	4.81687i		−	0.552532i
$77$	−3.41878	+	10.7198i	−0.389606	+	1.22164i
$78$	0.302977	+	1.91292i	0.0343054	+	0.216596i
$79$	8.09904	+	0.851243i	0.911213	+	0.0957724i	0.548521	−	0.836137i	$-0.315191\pi$
$79$	8.09904	+	0.851243i	0.911213	+	0.0957724i	0.362692	+	0.931909i	$0.381858\pi$
$80$	−1.90600	−	1.16925i	−0.213098	−	0.130727i
$81$	−0.861003	−	8.19190i	−0.0956670	−	0.910211i
$82$	−2.41498	+	9.01284i	−0.266690	+	0.995302i
$83$	1.74825	−	11.0380i	0.191895	−	1.21158i	−0.684147	−	0.729344i	$-0.739825\pi$
$83$	1.74825	−	11.0380i	0.191895	−	1.21158i	0.876042	−	0.482235i	$-0.160175\pi$
$84$	3.62841	+	5.52134i	0.395892	+	0.602427i
$85$	9.51191	+	5.17044i	1.03171	+	0.560813i
$86$	6.70371	−	1.42492i	0.722879	−	0.153653i
$87$	−4.58408	−	7.05887i	−0.491465	−	0.756790i
$88$	2.31623	+	3.56667i	0.246910	+	0.380209i
$89$	−4.40945	+	0.937257i	−0.467401	+	0.0993491i	−0.435591	−	0.900145i	$-0.643460\pi$
$89$	−4.40945	+	0.937257i	−0.467401	+	0.0993491i	−0.0318100	+	0.999494i	$0.510127\pi$
$90$	−3.11182	−	6.53210i	−0.328015	−	0.688544i
$91$	0.118529	+	2.04859i	0.0124252	+	0.214750i
$92$	1.32936	−	8.39326i	0.138596	−	0.875058i
$93$	−0.361574	+	1.34941i	−0.0374935	+	0.139928i
$94$	−0.112401	−	1.06942i	−0.0115932	−	0.110302i
$95$	−2.51941	+	10.4720i	−0.258486	+	1.07441i
$96$	2.48348	+	0.261024i	0.253469	+	0.0266406i
$97$	1.46109	+	9.22498i	0.148352	+	0.936655i	0.943772	+	0.330597i	$0.107250\pi$
$97$	1.46109	+	9.22498i	0.148352	+	0.936655i	−0.795421	+	0.606058i	$0.792750\pi$
$98$	3.24554	+	6.20214i	0.327849	+	0.626510i
$99$			13.7611i			1.38304i
$100$	3.53215	+	3.53891i	0.353215	+	0.353891i
$101$	−13.9089	−	8.03031i	−1.38399	−	0.799046i	−0.391359	−	0.920238i	$-0.627995\pi$
$101$	−13.9089	−	8.03031i	−1.38399	−	0.799046i	−0.992629	+	0.121192i	$0.961328\pi$
$102$	−12.0739	−	0.632766i	−1.19549	−	0.0626531i
$103$	−2.66443	−	3.29030i	−0.262534	−	0.324203i	0.628785	−	0.777579i	$-0.283553\pi$
$103$	−2.66443	−	3.29030i	−0.262534	−	0.324203i	−0.891319	+	0.453377i	$0.850219\pi$
$104$	0.627464	+	0.455879i	0.0615279	+	0.0447026i
$105$	−5.00042	−	13.9014i	−0.487991	−	1.35664i
$106$	6.77220	−	4.92029i	0.657774	−	0.477901i
$107$	−19.0200	−	5.09638i	−1.83873	−	0.492686i	−0.839977	−	0.542623i	$-0.817431\pi$
$107$	−19.0200	−	5.09638i	−1.83873	−	0.492686i	−0.998752	+	0.0499367i	$0.984098\pi$
$108$	0.457594	+	0.370553i	0.0440320	+	0.0356564i
$109$	−4.05139	+	19.0603i	−0.388053	+	1.82565i	0.157437	+	0.987529i	$0.449677\pi$
$109$	−4.05139	+	19.0603i	−0.388053	+	1.82565i	−0.545490	+	0.838117i	$0.683656\pi$
$110$	−3.17004	−	8.96555i	−0.302252	−	0.854832i
$111$	22.1195	+	7.18707i	2.09949	+	0.682166i
$112$	2.59089	+	0.536010i	0.244816	+	0.0506482i
$113$	−1.01594	+	1.99389i	−0.0955712	+	0.187569i	−0.933843	−	0.357684i	$-0.883566\pi$
$113$	−1.01594	+	1.99389i	−0.0955712	+	0.187569i	0.838271	+	0.545253i	$0.183566\pi$
$114$	−2.50086	−	11.7656i	−0.234227	−	1.10195i
$115$	−7.28009	+	17.5519i	−0.678872	+	1.63673i
$116$	−3.29687	−	0.700772i	−0.306107	−	0.0650650i
$117$	0.899375	+	2.34295i	0.0831473	+	0.216606i
$118$	2.59916	−	2.59916i	0.239272	−	0.239272i
$119$	−12.6629	−	1.93512i	−1.16081	−	0.177392i
$120$	−5.26264	−	1.86643i	−0.480411	−	0.170381i
$121$	−0.740696	+	7.04725i	−0.0673360	+	0.640659i
$122$	−7.79566	−	2.99247i	−0.705786	−	0.270926i
$123$	−1.21945	+	23.2685i	−0.109954	+	2.09805i
$124$	0.279721	+	0.484492i	0.0251197	+	0.0435086i
$125$	−5.82802	−	9.54118i	−0.521274	−	0.853389i
$126$	6.08643	+	6.02063i	0.542222	+	0.536360i
$127$	5.01526	+	9.84301i	0.445033	+	0.873425i	0.999159	+	0.0409933i	$0.0130522\pi$
$127$	5.01526	+	9.84301i	0.445033	+	0.873425i	−0.554127	+	0.832432i	$0.686948\pi$
$128$	0.777146	−	0.629320i	0.0686906	−	0.0556246i
$129$	15.6346	−	6.96097i	1.37655	−	0.612879i
$130$	−1.12569	−	1.31929i	−0.0987291	−	0.115709i
$131$	5.12094	−	11.5018i	0.447419	−	1.00492i	−0.539245	−	0.842149i	$-0.681290\pi$
$131$	5.12094	−	11.5018i	0.447419	−	1.00492i	0.986664	−	0.162770i	$-0.0520430\pi$
$132$	7.50936	+	7.50936i	0.653606	+	0.653606i
$133$	−1.40100	−	12.6670i	−0.121482	−	1.09837i
$134$	−3.16052	+	1.02692i	−0.273028	+	0.0887120i
$135$	−0.801012	−	1.04493i	−0.0689402	−	0.0899336i
$136$	−3.59808	+	3.23972i	−0.308532	+	0.277804i
$137$	−3.66693	+	2.38133i	−0.313287	+	0.203451i	−0.691698	−	0.722187i	$-0.743137\pi$
$137$	−3.66693	+	2.38133i	−0.313287	+	0.203451i	0.378411	+	0.925638i	$0.376471\pi$
$138$	−1.11060	−	21.1915i	−0.0945403	−	1.80394i
$139$	0.0963636	−	0.296577i	0.00817345	−	0.0251553i	−0.946887	−	0.321568i	$-0.895790\pi$
$139$	0.0963636	−	0.296577i	0.00817345	−	0.0251553i	0.955060	+	0.296412i	$0.0957903\pi$
$140$	−5.35232	−	2.52044i	−0.452354	−	0.213016i
$141$	−0.829779	−	2.55380i	−0.0698800	−	0.215068i
$142$	0.824477	−	0.316487i	0.0691886	−	0.0265590i
$143$	0.853688	+	3.18601i	0.0713890	+	0.266427i
$144$	3.21807	−	0.338233i	0.268172	−	0.0281860i
$145$	6.80098	+	3.24790i	0.564791	+	0.269723i
$146$	0.193457	−	0.266271i	0.0160106	−	0.0220367i
$147$	11.1476	+	13.4642i	0.919437	+	1.11051i
$148$	8.29859	−	4.22834i	0.682140	−	0.347568i
$149$	−2.83576	+	1.63723i	−0.232315	+	0.134127i	−0.611639	−	0.791137i	$-0.709490\pi$
$149$	−2.83576	+	1.63723i	−0.232315	+	0.134127i	0.379325	+	0.925264i	$0.376156\pi$
$150$	10.4649	+	6.81026i	0.854460	+	0.556056i
$151$	1.29321	−	2.23990i	0.105240	−	0.182280i	−0.808596	−	0.588364i	$-0.799772\pi$
$151$	1.29321	−	2.23990i	0.105240	−	0.182280i	0.913836	+	0.406083i	$0.133106\pi$
$152$	−4.03976	−	2.62345i	−0.327668	−	0.212790i
$153$	−15.4738	+	2.45081i	−1.25098	+	0.198136i
$154$	7.12839	+	8.70566i	0.574422	+	0.701522i
$155$	−0.354716	−	1.19961i	−0.0284915	−	0.0963548i
$156$	1.76932	+	0.787753i	0.141659	+	0.0630707i
$157$	2.62510	−	0.703393i	0.209506	−	0.0561368i	−0.152540	−	0.988297i	$-0.548745\pi$
$157$	2.62510	−	0.703393i	0.209506	−	0.0561368i	0.362045	+	0.932160i	$0.382079\pi$
$158$	5.12497	−	6.32881i	0.407720	−	0.503493i
$159$	13.9871	−	15.5343i	1.10925	−	1.23195i
$160$	−2.01870	+	0.961686i	−0.159592	+	0.0760280i
$161$	1.05465	−	22.4585i	0.0831178	−	1.76998i
$162$	−7.33924	−	3.73953i	−0.576625	−	0.293805i
$163$	−20.2046	+	1.05888i	−1.58255	+	0.0829378i	−0.823201	−	0.567749i	$-0.807814\pi$
$163$	−20.2046	+	1.05888i	−1.58255	+	0.0829378i	−0.759346	+	0.650687i	$0.774481\pi$
$164$	6.24351	+	6.93412i	0.487536	+	0.541464i
$165$	−12.3979	−	20.2533i	−0.965177	−	1.57672i
$166$	−8.30509	−	7.47794i	−0.644600	−	0.580400i
$167$	−3.85559	−	0.610665i	−0.298354	−	0.0472547i	0.00546269	−	0.999985i	$-0.498261\pi$
$167$	−3.85559	−	0.610665i	−0.298354	−	0.0472547i	−0.303817	+	0.952730i	$0.598261\pi$
$168$	6.60676	−	0.0359056i	0.509723	−	0.00277018i
$169$	−7.28763	−	10.0306i	−0.560587	−	0.771582i
$170$	9.51685	−	5.16133i	0.729909	−	0.395856i
$171$	−6.33955	−	14.2389i	−0.484798	−	1.08887i
$172$	2.45607	−	6.39827i	0.187273	−	0.487863i
$173$	−1.60539	+	2.47208i	−0.122055	+	0.187949i	−0.894417	−	0.447235i	$-0.852409\pi$
$173$	−1.60539	+	2.47208i	−0.122055	+	0.187949i	0.772361	+	0.635184i	$0.219076\pi$
$174$	−8.41673			−0.638071
$175$	10.3179	+	8.27901i	0.779956	+	0.625834i
$176$	4.25277			0.320565
$177$	4.99922	−	7.69813i	0.375765	−	0.578627i
$178$	−1.61551	+	4.20854i	−0.121087	+	0.315444i
$179$	4.70238	+	10.5617i	0.351472	+	0.789420i	0.999611	+	0.0278972i	$0.00888112\pi$
$179$	4.70238	+	10.5617i	0.351472	+	0.789420i	−0.648138	+	0.761522i	$0.724452\pi$
$180$	−7.17310	−	0.947848i	−0.534651	−	0.0706484i
$181$	12.7032	+	17.4845i	0.944224	+	1.29961i	0.954046	+	0.299661i	$0.0968735\pi$
$181$	12.7032	+	17.4845i	0.944224	+	1.29961i	−0.00982219	+	0.999952i	$0.503127\pi$
$182$	1.78264	+	1.01633i	0.132138	+	0.0753356i
$183$	−20.5952	−	3.26197i	−1.52244	−	0.241131i
$184$	−6.31516	−	5.68619i	−0.465560	−	0.419192i
$185$	−20.2530	+	4.85208i	−1.48903	+	0.356732i
$186$	0.934786	+	1.03819i	0.0685419	+	0.0761235i
$187$	−20.5624	+	1.07763i	−1.50367	+	0.0788040i
$188$	−0.958109	−	0.488181i	−0.0698773	−	0.0356042i
$189$	1.31112	+	0.841356i	0.0953699	+	0.0611996i
$190$	7.41042	+	7.81644i	0.537608	+	0.567064i
$191$	−2.05940	+	2.28720i	−0.149013	+	0.165496i	−0.813030	−	0.582222i	$-0.802184\pi$
$191$	−2.05940	+	2.28720i	−0.149013	+	0.165496i	0.664017	+	0.747717i	$0.268850\pi$
$192$	1.57151	−	1.94066i	0.113414	−	0.140055i
$193$	17.0000	−	4.55513i	1.22368	−	0.327885i	0.411567	−	0.911379i	$-0.364981\pi$
$193$	17.0000	−	4.55513i	1.22368	−	0.327885i	0.812117	+	0.583494i	$0.198315\pi$
$194$	8.53249	+	3.79891i	0.612597	+	0.272746i
$195$	−3.43454	−	2.63803i	−0.245953	−	0.188913i
$196$	6.96919	+	0.655990i	0.497800	+	0.0468564i
$197$	3.93569	−	0.623352i	0.280406	−	0.0444120i	−0.0146473	−	0.999893i	$-0.504663\pi$
$197$	3.93569	−	0.623352i	0.280406	−	0.0444120i	0.295053	+	0.955481i	$0.404663\pi$
$198$	11.5410	+	7.49483i	0.820185	+	0.532634i
$199$	3.91451	−	6.78012i	0.277492	−	0.480630i	−0.693269	−	0.720679i	$-0.743830\pi$
$199$	3.91451	−	6.78012i	0.277492	−	0.480630i	0.970761	+	0.240049i	$0.0771635\pi$
$200$	4.89173	−	1.03488i	0.345898	−	0.0731770i
$201$	−7.18669	+	4.14924i	−0.506910	+	0.292665i
$202$	−14.3101	+	7.29137i	−1.00686	+	0.513019i
$203$	−8.87366	−	0.883929i	−0.622809	−	0.0620396i
$204$	−7.10659	+	9.78139i	−0.497561	+	0.684834i
$205$	−9.94679	−	18.3406i	−0.694714	−	1.28097i
$206$	−4.21063	+	0.442555i	−0.293368	+	0.0308343i
$207$	−7.11685	−	26.5604i	−0.494655	−	1.84608i
$208$	0.724074	−	0.277946i	0.0502055	−	0.0192721i
$209$	−6.33022	−	19.4824i	−0.437871	−	1.34763i
$210$	−14.3821	−	3.37754i	−0.992460	−	0.233072i
$211$	−8.38553	+	25.8080i	−0.577284	+	1.77670i	0.0509832	+	0.998700i	$0.483764\pi$
$211$	−8.38553	+	25.8080i	−0.577284	+	1.77670i	−0.628267	+	0.777998i	$0.716236\pi$
$212$	−0.438099	−	8.35942i	−0.0300888	−	0.574128i
$213$	1.84954	−	1.20111i	0.126729	−	0.0822985i
$214$	−14.6332	+	13.1758i	−1.00030	+	0.900679i
$215$	−8.68612	+	12.6254i	−0.592389	+	0.861048i
$216$	0.559995	−	0.181953i	0.0381028	−	0.0123804i
$217$	0.876503	+	1.19272i	0.0595009	+	0.0809670i
$218$	13.7788	+	13.7788i	0.933216	+	0.933216i
$219$	0.334291	−	0.750831i	0.0225893	−	0.0507364i
$220$	−9.24568	−	2.22437i	−0.623343	−	0.149967i
$221$	−3.43050	+	1.52736i	−0.230761	+	0.102741i
$222$	18.0747	−	14.6366i	1.21310	−	0.982347i
$223$	4.15530	+	8.15523i	0.278259	+	0.546115i	0.987264	−	0.159089i	$-0.0508556\pi$
$223$	4.15530	+	8.15523i	0.278259	+	0.546115i	−0.709005	+	0.705203i	$0.750856\pi$
$224$	1.86063	−	1.88097i	0.124319	−	0.125677i
$225$	15.0988	+	5.81247i	1.00659	+	0.387498i
$226$	1.11890	+	1.93798i	0.0744278	+	0.128913i
$227$	1.27088	−	24.2498i	0.0843512	−	1.60952i	−0.549115	−	0.835747i	$-0.685035\pi$
$227$	1.27088	−	24.2498i	0.0843512	−	1.60952i	0.633466	−	0.773770i	$-0.281632\pi$
$228$	−11.2295	−	4.31062i	−0.743695	−	0.285478i
$229$	1.25027	−	11.8956i	0.0826205	−	0.786081i	−0.872250	−	0.489060i	$-0.837340\pi$
$229$	1.25027	−	11.8956i	0.0826205	−	0.786081i	0.954871	−	0.297022i	$-0.0959934\pi$
$230$	10.7553	+	15.6651i	0.709181	+	1.03292i
$231$	21.9316	+	17.5634i	1.44299	+	1.15559i
$232$	−2.38332	+	2.38332i	−0.156473	+	0.156473i
$233$	7.27388	+	18.9491i	0.476528	+	1.24140i	0.935620	+	0.353009i	$0.114841\pi$
$233$	7.27388	+	18.9491i	0.476528	+	1.24140i	−0.459092	+	0.888389i	$0.651825\pi$
$234$	2.45480	+	0.521784i	0.160475	+	0.0341101i
$235$	1.82762	+	1.56245i	0.119221	+	0.101923i
$236$	−0.764235	−	3.59544i	−0.0497474	−	0.234043i
$237$	9.23234	−	18.1195i	0.599705	−	1.17699i
$238$	−8.51964	+	9.56606i	−0.552246	+	0.620075i
$239$	−4.66310	−	1.51513i	−0.301631	−	0.0980058i	0.154291	−	0.988025i	$-0.450691\pi$
$239$	−4.66310	−	1.51513i	−0.301631	−	0.0980058i	−0.455922	+	0.890020i	$0.650691\pi$
$240$	−4.43156	+	3.39709i	−0.286056	+	0.219281i
$241$	−5.11745	+	24.0757i	−0.329644	+	1.55085i	0.431406	+	0.902158i	$0.358018\pi$
$241$	−5.11745	+	24.0757i	−0.329644	+	1.55085i	−0.761049	+	0.648694i	$0.775316\pi$
$242$	5.50691	+	4.45941i	0.353998	+	0.286662i
$243$	−21.5745	−	5.78087i	−1.38401	−	0.370843i
$244$	−6.75552	+	4.90817i	−0.432478	+	0.314214i
$245$	−14.8082	−	5.07131i	−0.946059	−	0.323994i
$246$	18.8504	+	13.6957i	1.20186	+	0.873203i
$247$	−2.35108	−	2.90334i	−0.149596	−	0.184735i
$248$	0.558676	+	0.0292790i	0.0354760	+	0.00185922i
$249$	−24.1684	−	13.9536i	−1.53161	−	0.884274i
$250$	−11.1761	−	0.308707i	−0.706837	−	0.0195243i
$251$		−	7.20459i		−	0.454750i	−0.973807	−	0.227375i	$-0.926986\pi$
$251$		−	7.20459i		−	0.454750i	0.973807	−	0.227375i	$-0.0730143\pi$
$252$	8.36423	−	1.82544i	0.526897	−	0.114992i
$253$	−5.65347	−	35.6946i	−0.355431	−	2.24410i
$254$	10.9865	+	1.15473i	0.689357	+	0.0724544i
$255$	20.5660	−	17.5480i	1.28790	−	1.09890i
$256$	−0.104528	−	0.994522i	−0.00653303	−	0.0621576i
$257$	−5.57499	+	20.8061i	−0.347758	+	1.29785i	0.541599	+	0.840637i	$0.317819\pi$
$257$	−5.57499	+	20.8061i	−0.347758	+	1.29785i	−0.889357	+	0.457214i	$0.848847\pi$
$258$	2.67725	−	16.9035i	0.166678	−	1.05237i
$259$	20.5931	−	13.5330i	1.27959	−	0.840900i
$260$	−1.71954	+	0.225545i	−0.106641	+	0.0139877i
$261$	−10.6680	+	2.26755i	−0.660332	+	0.140358i
$262$	−6.85718	−	10.5591i	−0.423638	−	0.652345i
$263$	7.81603	+	12.0356i	0.481957	+	0.742149i	0.993090	−	0.117352i	$-0.0374407\pi$
$263$	7.81603	+	12.0356i	0.481957	+	0.742149i	−0.511133	+	0.859502i	$0.670774\pi$
$264$	10.3878	−	2.20799i	0.639323	−	0.135892i
$265$	−3.41987	+	18.4028i	−0.210081	+	1.13048i
$266$	−11.3865	−	5.72396i	−0.698149	−	0.350959i
$267$	−1.76100	+	11.1185i	−0.107771	+	0.680440i
$268$	−0.860100	+	3.20994i	−0.0525390	+	0.196078i
$269$	−0.483460	−	4.59981i	−0.0294771	−	0.280456i	−0.999325	−	0.0367436i	$-0.988302\pi$
$269$	−0.483460	−	4.59981i	−0.0294771	−	0.280456i	0.969848	−	0.243712i	$-0.0783652\pi$
$270$	−1.31262	+	0.102674i	−0.0798834	+	0.00624851i
$271$	−1.29293	−	0.135892i	−0.0785396	−	0.00825485i	0.0651771	−	0.997874i	$-0.479239\pi$
$271$	−1.29293	−	0.135892i	−0.0785396	−	0.00825485i	−0.143717	+	0.989619i	$0.545905\pi$
$272$	0.757407	+	4.78208i	0.0459245	+	0.289956i
$273$	4.88194	+	1.55696i	0.295468	+	0.0942313i
$274$			4.37232i			0.264141i
$275$	18.9370	+	9.67171i	1.14194	+	0.583226i
$276$	−18.3775	−	10.6103i	−1.10620	−	0.638663i
$277$	28.7093	+	1.50459i	1.72498	+	0.0904022i	0.888868	−	0.458163i	$-0.151492\pi$
$277$	28.7093	+	1.50459i	1.72498	+	0.0904022i	0.836108	+	0.548565i	$0.184826\pi$
$278$	−0.196247	−	0.242344i	−0.0117701	−	0.0145349i
$279$	1.46452	+	1.06403i	0.0876783	+	0.0637020i
$280$	−5.02890	+	3.11611i	−0.300535	+	0.186223i
$281$	−6.16360	+	4.47811i	−0.367689	+	0.267142i	−0.756252	−	0.654280i	$-0.772972\pi$
$281$	−6.16360	+	4.47811i	−0.367689	+	0.267142i	0.388563	+	0.921422i	$0.372972\pi$
$282$	−2.59372	−	0.694986i	−0.154454	−	0.0413858i
$283$	5.76716	+	4.67015i	0.342822	+	0.277612i	0.785233	−	0.619201i	$-0.212543\pi$
$283$	5.76716	+	4.67015i	0.342822	+	0.277612i	−0.442411	+	0.896813i	$0.645877\pi$
$284$	0.183614	−	0.863836i	0.0108955	−	0.0512593i
$285$	22.1588	+	15.2449i	1.31257	+	0.903032i
$286$	3.13696	+	1.01926i	0.185493	+	0.0602702i
$287$	18.4355	+	16.4188i	1.08821	+	0.969173i
$288$	1.46902	−	2.88311i	0.0865628	−	0.169889i
$289$	−1.33936	−	6.30118i	−0.0787857	−	0.370658i
$290$	6.42800	−	3.93485i	0.377465	−	0.231063i
$291$	22.8137	+	4.84920i	1.33736	+	0.284265i
$292$	−0.117949	−	0.307268i	−0.00690246	−	0.0179815i
$293$	8.99790	−	8.99790i	0.525663	−	0.525663i	−0.393613	−	0.919276i	$-0.628775\pi$
$293$	8.99790	−	8.99790i	0.525663	−	0.525663i	0.919276	+	0.393613i	$0.128775\pi$
$294$	17.3635	−	2.01601i	1.01266	−	0.117576i
$295$	−0.219086	+	8.21634i	−0.0127557	+	0.478374i
$296$	0.973550	−	9.26271i	0.0565864	−	0.538384i
$297$	2.33777	+	0.897386i	0.135651	+	0.0520716i
$298$	−0.171372	+	3.26997i	−0.00992729	+	0.189424i
$299$	−3.29543	−	5.70785i	−0.190579	−	0.330093i
$300$	11.4112	−	5.06751i	0.658825	−	0.292573i
$301$	4.59780	−	17.5400i	0.265013	−	1.01099i
$302$	−1.17421	−	2.30451i	−0.0675680	−	0.132610i
$303$	−31.1681	+	25.2395i	−1.79056	+	1.44997i
$304$	−4.40043	+	1.95920i	−0.252382	+	0.112368i
$305$	17.2539	−	7.13714i	0.987956	−	0.408671i
$306$	−6.37222	+	14.3122i	−0.364276	+	0.818177i
$307$	8.44851	+	8.44851i	0.482182	+	0.482182i	0.905828	−	0.423646i	$-0.139250\pi$
$307$	8.44851	+	8.44851i	0.482182	+	0.482182i	−0.423646	+	0.905828i	$0.639250\pi$
$308$	11.1836	−	1.23693i	0.637244	−	0.0704805i
$309$	−10.0551	+	3.26709i	−0.572013	+	0.185858i
$310$	−1.19927	−	0.355863i	−0.0681138	−	0.0202117i
$311$	0.433441	−	0.390272i	0.0245782	−	0.0221303i	−0.656750	−	0.754108i	$-0.728069\pi$
$311$	0.433441	−	0.390272i	0.0245782	−	0.0221303i	0.681328	+	0.731978i	$0.261403\pi$
$312$	1.62431	−	1.05484i	0.0919583	−	0.0597184i
$313$	0.619032	+	11.8118i	0.0349897	+	0.667644i	0.958677	+	0.284497i	$0.0918265\pi$
$313$	0.619032	+	11.8118i	0.0349897	+	0.667644i	−0.923687	+	0.383147i	$0.874840\pi$
$314$	0.839816	−	2.58469i	0.0473935	−	0.145862i
$315$	−19.1389	−	0.406259i	−1.07835	−	0.0228901i
$316$	−2.51653	−	7.74507i	−0.141566	−	0.435694i
$317$	22.9085	−	8.79375i	1.28667	−	0.493906i	0.383639	−	0.923483i	$-0.374671\pi$
$317$	22.9085	−	8.79375i	1.28667	−	0.493906i	0.903030	+	0.429577i	$0.141337\pi$
$318$	−5.41021	−	20.1912i	−0.303389	−	1.13226i
$319$	−14.2556	+	1.49832i	−0.798158	+	0.0838898i
$320$	−0.292926	+	2.21680i	−0.0163751	+	0.123923i
$321$	−28.9022	+	39.7804i	−1.61316	+	2.22033i
$322$	−18.2609	−	13.1163i	−1.01764	−	0.730943i
$323$	20.7798	−	10.5879i	1.15622	−	0.589124i
$324$	−7.13347	+	4.11851i	−0.396304	+	0.228806i
$325$	3.85631	+	0.409045i	0.213909	+	0.0226897i
$326$	−10.1162	+	17.5217i	−0.560283	+	0.970438i
$327$	40.8096	+	26.5021i	2.25678	+	1.46557i
$328$	9.21591	−	1.45966i	0.508863	−	0.0805960i
$329$	−2.66154	−	1.00511i	−0.146736	−	0.0554135i
$330$	−23.7382	−	0.632972i	−1.30675	−	0.0348439i
$331$	−29.3788	−	13.0803i	−1.61480	−	0.718957i	−0.617112	−	0.786875i	$-0.711697\pi$
$331$	−29.3788	−	13.0803i	−1.61480	−	0.718957i	−0.997691	+	0.0679187i	$0.978364\pi$
$332$	−10.7948	+	2.89246i	−0.592442	+	0.158744i
$333$	18.9660	−	23.4211i	1.03933	−	1.28347i
$334$	−2.61205	+	2.90098i	−0.142925	+	0.158734i
$335$	3.54881	−	6.52865i	0.193892	−	0.356698i
$336$	3.56819	−	5.56045i	0.194661	−	0.303347i
$337$	−14.0796	−	7.17389i	−0.766962	−	0.390787i	0.0263102	−	0.999654i	$-0.491624\pi$
$337$	−14.0796	−	7.17389i	−0.766962	−	0.390787i	−0.793272	+	0.608867i	$0.791624\pi$
$338$	−12.3815	+	0.648885i	−0.673463	+	0.0352947i
$339$	3.73918	+	4.15278i	0.203084	+	0.225548i
$340$	0.854588	−	10.7926i	0.0463466	−	0.585309i
$341$	1.76808	+	1.59198i	0.0957467	+	0.0862108i
$342$	−15.3945	−	2.43825i	−0.832439	−	0.131845i
$343$	18.5178	−	0.301938i	0.999867	−	0.0163031i
$344$	−4.02837	−	5.54458i	−0.217195	−	0.298944i
$345$	34.4038	+	32.6793i	1.85224	+	1.75939i
$346$	1.19891	+	2.69279i	0.0644536	+	0.144765i
$347$	10.0815	−	26.2633i	0.541205	−	1.40989i	−0.341465	−	0.939894i	$-0.610923\pi$
$347$	10.0815	−	26.2633i	0.541205	−	1.40989i	0.882670	−	0.469993i	$-0.155743\pi$
$348$	−4.58408	+	7.05887i	−0.245733	+	0.378395i
$349$	−17.9015			−0.958244			−0.479122	−	0.877748i	$-0.659045\pi$
$349$	−17.9015			−0.958244			−0.479122	+	0.877748i	$0.659045\pi$
$350$	12.5629	−	4.14421i	0.671513	−	0.221517i
$351$	0.456677			0.0243756
$352$	2.31623	−	3.56667i	0.123455	−	0.190104i
$353$	−9.66654	+	25.1822i	−0.514498	+	1.34031i	0.392722	+	0.919657i	$0.371534\pi$
$353$	−9.66654	+	25.1822i	−0.514498	+	1.34031i	−0.907220	+	0.420656i	$0.861800\pi$
$354$	−3.73342	−	8.38540i	−0.198429	−	0.445679i
$355$	−0.851004	+	1.78197i	−0.0451666	+	0.0945773i
$356$	2.64971	+	3.64702i	0.140434	+	0.193291i
$357$	−15.8434	+	27.7892i	−0.838521	+	1.47076i
$358$	11.4189	+	1.80858i	0.603508	+	0.0955862i
$359$	−21.4190	−	19.2857i	−1.13045	−	1.01786i	−0.999650	−	0.0264537i	$-0.991579\pi$
$359$	−21.4190	−	19.2857i	−1.13045	−	1.01786i	−0.130801	−	0.991409i	$-0.541755\pi$
$360$	−4.70168	+	5.49963i	−0.247800	+	0.289856i
$361$	2.81182	+	3.12284i	0.147990	+	0.164360i
$362$	21.5824	−	1.13109i	1.13435	−	0.0594486i
$363$	15.7664	+	8.03338i	0.827521	+	0.421643i
$364$	1.82327	−	0.941517i	0.0955651	−	0.0493489i
$365$	0.0957123	+	0.729704i	0.00500981	+	0.0381945i
$366$	−13.9527	+	15.4960i	−0.729319	+	0.809991i
$367$	1.74235	−	2.15163i	0.0909500	−	0.112314i	−0.729639	−	0.683832i	$-0.760312\pi$
$367$	1.74235	−	2.15163i	0.0909500	−	0.112314i	0.820589	+	0.571518i	$0.193645\pi$
$368$	−8.20832	+	2.19941i	−0.427888	+	0.114652i
$369$	27.5822	+	12.2804i	1.43587	+	0.639292i
$370$	−6.96130	+	19.6282i	−0.361901	+	1.02042i
$371$	−3.58343	−	21.8555i	−0.186042	−	1.13468i
$372$	1.37982	−	0.218542i	0.0715402	−	0.0113308i
$373$	6.99218	+	4.54078i	0.362041	+	0.235112i	0.712822	−	0.701345i	$-0.247417\pi$
$373$	6.99218	+	4.54078i	0.362041	+	0.235112i	−0.350780	+	0.936458i	$0.614084\pi$
$374$	−10.2953	+	17.8320i	−0.532357	+	0.922070i
$375$	−27.4588	+	5.04844i	−1.41797	+	0.260701i
$376$	−0.931246	+	0.537655i	−0.0480254	+	0.0277275i
$377$	−2.32921	+	1.18679i	−0.119961	+	0.0611230i
$378$	1.41971	−	0.641362i	0.0730218	−	0.0329881i
$379$	−0.416998	+	0.573949i	−0.0214198	+	0.0294818i	−0.819593	−	0.572947i	$-0.805800\pi$
$379$	−0.416998	+	0.573949i	−0.0214198	+	0.0294818i	0.798173	+	0.602429i	$0.205800\pi$
$380$	10.5914	−	1.95776i	0.543328	−	0.100431i
$381$	27.4351	−	2.88355i	1.40554	−	0.147729i
$382$	0.796574	+	2.97286i	0.0407563	+	0.152105i
$383$	19.4113	−	7.45129i	0.991870	−	0.380743i	0.192313	−	0.981334i	$-0.438401\pi$
$383$	19.4113	−	7.45129i	0.991870	−	0.380743i	0.799557	+	0.600590i	$0.205068\pi$
$384$	−0.771664	−	2.37494i	−0.0393788	−	0.121196i
$385$	−24.9605	−	3.16033i	−1.27210	−	0.161066i
$386$	5.43860	−	16.7383i	0.276817	−	0.851956i
$387$	−1.16062	−	22.1460i	−0.0589979	−	1.12575i
$388$	7.83316	−	5.08691i	0.397668	−	0.258249i
$389$	−10.1424	+	9.13230i	−0.514242	+	0.463026i	−0.884925	−	0.465734i	$-0.845790\pi$
$389$	−10.1424	+	9.13230i	−0.514242	+	0.463026i	0.370683	+	0.928760i	$0.379124\pi$
$390$	−4.08302	+	1.44368i	−0.206752	+	0.0731034i
$391$	39.1304	−	12.7142i	1.97891	−	0.642986i
$392$	4.34585	−	5.48758i	0.219499	−	0.277165i
$393$	−22.2314	−	22.2314i	−1.12143	−	1.12143i
$394$	1.62074	−	3.64025i	0.0816518	−	0.183393i
$395$	1.42004	+	18.1543i	0.0714498	+	0.913442i
$396$	12.5714	−	5.59714i	0.631736	−	0.281267i
$397$	−8.94949	+	7.24716i	−0.449162	+	0.363724i	−0.827051	−	0.562126i	$-0.809983\pi$
$397$	−8.94949	+	7.24716i	−0.449162	+	0.363724i	0.377889	+	0.925851i	$0.376650\pi$
$398$	−3.55430	−	6.97570i	−0.178161	−	0.349660i
$399$	−30.7843	−	8.06957i	−1.54114	−	0.403984i
$400$	1.79630	−	4.66619i	0.0898152	−	0.233309i
$401$	13.3285	+	23.0856i	0.665593	+	1.15284i	0.979124	+	0.203263i	$0.0651548\pi$
$401$	13.3285	+	23.0856i	0.665593	+	1.15284i	−0.313531	+	0.949578i	$0.601512\pi$
$402$	−0.434309	+	8.28711i	−0.0216614	+	0.413323i
$403$	0.405078	+	0.155495i	0.0201784	+	0.00774575i
$404$	−1.67879	+	15.9726i	−0.0835230	+	0.794669i
$405$	17.6626	−	5.22270i	0.877660	−	0.259518i
$406$	−5.57426	+	6.96065i	−0.276646	+	0.345451i
$407$	28.0079	−	28.0079i	1.38830	−	1.38830i
$408$	4.33283	+	11.2874i	0.214507	+	0.558810i
$409$	12.5862	+	2.67528i	0.622347	+	0.132284i	0.508284	−	0.861189i	$-0.330280\pi$
$409$	12.5862	+	2.67528i	0.622347	+	0.132284i	0.114063	+	0.993473i	$0.463613\pi$
$410$	−20.7992	−	1.64694i	−1.02720	−	0.0813366i
$411$	2.27005	+	10.6798i	0.111974	+	0.526794i
$412$	−1.92212	+	3.77236i	−0.0946958	+	0.185851i
$413$	−3.05546	−	9.23271i	−0.150349	−	0.454312i
$414$	−26.1516	−	8.49716i	−1.28528	−	0.417613i
$415$	24.9811	−	0.642196i	1.22628	−	0.0315242i
$416$	0.161254	−	0.758639i	0.00790612	−	0.0371954i
$417$	−0.605172	−	0.490059i	−0.0296354	−	0.0239983i
$418$	−19.7870	−	5.30192i	−0.967815	−	0.259325i
$419$	−6.53938	+	4.75114i	−0.319470	+	0.232108i	−0.735949	−	0.677037i	$-0.763264\pi$
$419$	−6.53938	+	4.75114i	−0.319470	+	0.232108i	0.416479	+	0.909145i	$0.363264\pi$
$420$	−10.6657	+	10.2223i	−0.520433	+	0.498798i
$421$	−12.5581	−	9.12398i	−0.612043	−	0.444675i	0.238090	−	0.971243i	$-0.423479\pi$
$421$	−12.5581	−	9.12398i	−0.612043	−	0.444675i	−0.850133	+	0.526568i	$0.823479\pi$
$422$	17.0773	+	21.0888i	0.831312	+	1.02658i
$423$	−3.47472	−	0.182102i	−0.168946	−	0.00885411i
$424$	−7.24941	−	4.18545i	−0.352062	−	0.203263i
$425$	−7.50284	+	23.0164i	−0.363941	+	1.11646i
$426$		−	2.20533i		−	0.106848i
$427$	−16.3375	+	14.8720i	−0.790629	+	0.719704i
$428$	3.08034	+	19.4485i	0.148894	+	0.940078i
$429$	8.19150	+	0.860961i	0.395489	+	0.0415676i
$430$	5.85779	+	14.1611i	0.282488	+	0.682909i
$431$	−0.818175	−	7.78442i	−0.0394101	−	0.374962i	−0.996396	−	0.0848267i	$-0.972966\pi$
$431$	−0.818175	−	7.78442i	−0.0394101	−	0.374962i	0.956986	−	0.290135i	$-0.0937003\pi$
$432$	0.152396	−	0.568750i	0.00733217	−	0.0273640i
$433$	2.85460	−	18.0232i	0.137183	−	0.866142i	−0.819089	−	0.573666i	$-0.805521\pi$
$433$	2.85460	−	18.0232i	0.137183	−	0.866142i	0.956273	−	0.292476i	$-0.0944792\pi$
$434$	1.47768	−	0.0854967i	0.0709307	−	0.00410397i
$435$	13.6580	−	12.9486i	0.654852	−	0.620836i
$436$	19.0603	−	4.05139i	0.912823	−	0.194027i
$437$	22.2938	+	34.3294i	1.06646	+	1.64220i
$438$	−0.447631	−	0.689292i	−0.0213887	−	0.0329356i
$439$	−24.3535	+	5.17650i	−1.16233	+	0.247061i	−0.748399	−	0.663248i	$-0.769177\pi$
$439$	−24.3535	+	5.17650i	−1.16233	+	0.247061i	−0.413930	+	0.910309i	$0.635844\pi$
$440$	−6.90107	+	6.54260i	−0.328996	+	0.311906i
$441$	21.4646	−	7.23313i	1.02212	−	0.344435i
$442$	−0.587436	+	3.70892i	−0.0279415	+	0.176415i
$443$	1.82222	−	6.80062i	0.0865763	−	0.323107i	−0.909032	−	0.416727i	$-0.863177\pi$
$443$	1.82222	−	6.80062i	0.0865763	−	0.323107i	0.995608	+	0.0936197i	$0.0298438\pi$
$444$	−2.43111	−	23.1304i	−0.115375	−	1.09772i
$445$	−3.85303	−	9.31464i	−0.182651	−	0.441556i
$446$	9.10269	+	0.956731i	0.431025	+	0.0453025i
$447$	1.27914	+	8.07615i	0.0605011	+	0.381989i
$448$	−0.564139	−	2.58491i	−0.0266531	−	0.122125i
$449$			5.15694i			0.243371i	0.992569	+	0.121685i	$0.0388299\pi$
$449$			5.15694i			0.243371i	−0.992569	+	0.121685i	$0.961170\pi$
$450$	13.0982	−	9.49723i	0.617453	−	0.447704i
$451$	34.3654	+	19.8408i	1.61820	+	0.934269i
$452$	2.23472	+	0.117117i	0.105113	+	0.00550872i
$453$	−4.06458	−	5.01934i	−0.190971	−	0.235829i
$454$	−19.6454	−	14.2732i	−0.922006	−	0.669877i
$455$	−4.45630	+	1.09325i	−0.208914	+	0.0512523i
$456$	−9.73124	+	7.07016i	−0.455707	+	0.331090i
$457$	11.1727	+	2.99372i	0.522637	+	0.140040i	0.510486	−	0.859886i	$-0.329466\pi$
$457$	11.1727	+	2.99372i	0.522637	+	0.140040i	0.0121508	+	0.999926i	$0.496132\pi$
$458$	−9.29552	−	7.52736i	−0.434351	−	0.351730i
$459$	−0.592726	+	2.78856i	−0.0276661	+	0.130159i
$460$	18.9956	−	0.488323i	0.885673	−	0.0227682i
$461$	−2.17752	−	0.707519i	−0.101417	−	0.0329524i	0.257869	−	0.966180i	$-0.416980\pi$
$461$	−2.17752	−	0.707519i	−0.101417	−	0.0329524i	−0.359286	+	0.933227i	$0.616980\pi$
$462$	26.6747	−	8.82769i	1.24102	−	0.410701i
$463$	−1.22270	+	2.39968i	−0.0568237	+	0.111523i	−0.917672	−	0.397339i	$-0.869934\pi$
$463$	−1.22270	+	2.39968i	−0.0568237	+	0.111523i	0.860848	+	0.508862i	$0.169934\pi$
$464$	0.700772	+	3.29687i	0.0325325	+	0.153053i
$465$	−3.11408	−	0.246582i	−0.144412	−	0.0114350i
$466$	19.8537	+	4.22004i	0.919705	+	0.195489i
$467$	−12.6667	−	32.9980i	−0.586147	−	1.52697i	−0.830351	−	0.557241i	$-0.811860\pi$
$467$	−12.6667	−	32.9980i	−0.586147	−	1.52697i	0.244204	−	0.969724i	$-0.421473\pi$
$468$	1.77459	−	1.77459i	0.0820302	−	0.0820302i
$469$	−1.32820	+	8.69138i	−0.0613306	+	0.401331i
$470$	2.30578	−	0.681803i	0.106358	−	0.0314492i
$471$	0.709385	−	6.74935i	0.0326867	−	0.310994i
$472$	−3.43162	−	1.31728i	−0.157953	−	0.0606326i
$473$	1.52540	−	29.1063i	0.0701378	−	1.33831i
$474$	−10.1680	−	17.6115i	−0.467031	−	0.808922i
$475$	−24.0501	−	1.28349i	−1.10349	−	0.0588904i
$476$	3.38264	+	12.3552i	0.155043	+	0.566300i
$477$	−12.2970	−	24.1342i	−0.563041	−	1.10503i
$478$	−3.81040	+	3.08560i	−0.174284	+	0.141132i
$479$	−35.7009	+	15.8951i	−1.63121	+	0.726264i	−0.998829	−	0.0483895i	$-0.984591\pi$
$479$	−35.7009	+	15.8951i	−1.63121	+	0.726264i	−0.632386	+	0.774653i	$0.717924\pi$
$480$	0.435438	+	5.56681i	0.0198749	+	0.254089i
$481$	2.93811	−	6.59910i	0.133966	−	0.300893i
$482$	17.4044	+	17.4044i	0.792749	+	0.792749i
$483$	−51.4137	−	22.5569i	−2.33940	−	1.02637i
$484$	6.73925	−	2.18972i	0.306330	−	0.0995325i
$485$	−19.6902	+	6.96207i	−0.894087	+	0.316131i
$486$	−16.5986	+	14.9454i	−0.752926	+	0.677938i
$487$	−25.0934	+	16.2958i	−1.13709	+	0.738435i	−0.968933	−	0.247325i	$-0.920448\pi$
$487$	−25.0934	+	16.2958i	−1.13709	+	0.738435i	−0.168158	+	0.985760i	$0.553782\pi$
$488$	0.437020	+	8.33884i	0.0197830	+	0.377481i
$489$	−15.6126	+	48.0505i	−0.706025	+	2.17292i
$490$	−12.3183	+	9.65714i	−0.556482	+	0.436265i
$491$	−8.38674	−	25.8117i	−0.378488	−	1.16487i	−0.941095	−	0.338142i	$-0.890202\pi$
$491$	−8.38674	−	25.8117i	−0.378488	−	1.16487i	0.562607	−	0.826725i	$-0.309798\pi$
$492$	21.7528	−	8.35013i	0.980693	−	0.376453i
$493$	−4.22368	−	15.7630i	−0.190225	−	0.709929i
$494$	−3.71544	+	0.390508i	−0.167165	+	0.0175698i
$495$	−30.2582	+	5.59305i	−1.36000	+	0.251389i
$496$	0.328832	−	0.452599i	0.0147650	−	0.0203223i
$497$	0.231604	−	2.32505i	0.0103889	−	0.104293i
$498$	−24.8655	+	12.6696i	−1.11425	+	0.567739i
$499$	14.6344	−	8.44915i	0.655124	−	0.378236i	−0.135293	−	0.990806i	$-0.543198\pi$
$499$	14.6344	−	8.44915i	0.655124	−	0.378236i	0.790416	+	0.612570i	$0.209864\pi$
$500$	−6.34583	+	9.20491i	−0.283794	+	0.411656i
$501$	−4.87401	+	8.44204i	−0.217755	+	0.377162i
$502$	−6.04228	−	3.92390i	−0.269680	−	0.175132i
$503$	−24.6155	+	3.89872i	−1.09755	+	0.173835i	−0.678842	−	0.734284i	$-0.737518\pi$
$503$	−24.6155	+	3.89872i	−1.09755	+	0.173835i	−0.418711	+	0.908120i	$0.637518\pi$
$504$	3.02454	−	8.00904i	0.134724	−	0.356751i
$505$	12.0041	−	33.8470i	0.534175	−	1.50617i
$506$	−33.0151	−	14.6993i	−1.46770	−	0.653463i
$507$	−29.9059	+	8.01327i	−1.32817	+	0.355882i
$508$	6.95214	−	8.58518i	0.308451	−	0.380906i
$509$	4.52606	−	5.02670i	0.200614	−	0.222804i	−0.634440	−	0.772972i	$-0.718769\pi$
$509$	4.52606	−	5.02670i	0.200614	−	0.222804i	0.835054	+	0.550167i	$0.185436\pi$
$510$	−3.51596	−	26.8055i	−0.155690	−	1.18697i
$511$	−0.399543	−	0.773722i	−0.0176747	−	0.0342275i
$512$	−0.891007	−	0.453990i	−0.0393773	−	0.0200637i
$513$	−2.83235	+	0.148437i	−0.125051	+	0.00655366i
$514$	14.4131	+	16.0074i	0.635736	+	0.706056i
$515$	6.15184	−	7.19591i	0.271083	−	0.317090i
$516$	−12.7183	−	11.4516i	−0.559893	−	0.504130i
$517$	−4.51675	−	0.715383i	−0.198646	−	0.0314625i
$518$	−0.133918	−	24.6414i	−0.00588403	−	1.08268i
$519$	4.32649	+	5.95491i	0.189912	+	0.261391i
$520$	−0.747370	+	1.56497i	−0.0327743	+	0.0686283i
$521$	−14.5051	−	32.5791i	−0.635481	−	1.42731i	−0.888055	−	0.459737i	$-0.847944\pi$
$521$	−14.5051	−	32.5791i	−0.635481	−	1.42731i	0.252574	−	0.967578i	$-0.418723\pi$
$522$	−3.90848	+	10.1819i	−0.171069	+	0.445651i
$523$	8.60969	−	13.2578i	0.376475	−	0.579721i	−0.598750	−	0.800936i	$-0.704336\pi$
$523$	8.60969	−	13.2578i	0.376475	−	0.579721i	0.975225	+	0.221215i	$0.0710022\pi$
$524$	−12.5903			−0.550011
$525$	28.5343	−	16.6451i	1.24534	−	0.726451i
$526$	14.3509			0.625727
$527$	−1.47524	+	2.27166i	−0.0642623	+	0.0989552i
$528$	3.80581	−	9.91447i	0.165627	−	0.431472i
$529$	20.0171	+	44.9592i	0.870310	+	1.95475i
$530$	13.5713	+	12.8910i	0.589500	+	0.559951i
$531$	−6.99113	−	9.62246i	−0.303389	−	0.417579i
$532$	−11.0020	+	6.43200i	−0.476999	+	0.278863i
$533$	7.14774	+	1.13209i	0.309603	+	0.0490363i
$534$	8.36564	+	7.53246i	0.362017	+	0.325961i
$535$	3.47557	−	43.8928i	0.150262	−	1.89765i
$536$	2.22364	+	2.46960i	0.0960464	+	0.106670i
$537$	28.8307	−	1.51095i	1.24413	−	0.0652023i
$538$	−4.12104	−	2.09977i	−0.177671	−	0.0905277i
$539$	29.0499	−	6.50554i	1.25127	−	0.280213i
$540$	−0.628794	+	1.15677i	−0.0270590	+	0.0497796i
$541$	−0.526418	+	0.584647i	−0.0226325	+	0.0251359i	−0.754355	−	0.656467i	$-0.772050\pi$
$541$	−0.526418	+	0.584647i	−0.0226325	+	0.0251359i	0.731722	+	0.681603i	$0.238717\pi$
$542$	−0.818146	+	1.01033i	−0.0351424	+	0.0433972i
$543$	52.1297	−	13.9681i	2.23710	−	0.599429i
$544$	4.42310	+	1.96929i	0.189639	+	0.0844327i
$545$	−43.5568	−	1.16143i	−1.86577	−	0.0497500i
$546$	3.96467	−	3.24636i	0.169672	−	0.138931i
$547$	−11.2027	+	1.77433i	−0.478992	+	0.0758649i	−0.391262	−	0.920279i	$-0.627961\pi$
$547$	−11.2027	+	1.77433i	−0.478992	+	0.0758649i	−0.0877303	+	0.996144i	$0.527961\pi$
$548$	3.66693	+	2.38133i	0.156644	+	0.101726i
$549$	−13.5099	+	23.3998i	−0.576588	+	0.998680i
$550$	18.4252	−	10.6143i	0.785653	−	0.452596i
$551$	14.0602	−	8.11769i	0.598987	−	0.345825i
$552$	−18.9076	+	9.63393i	−0.804763	+	0.410047i
$553$	−8.87042	−	19.6354i	−0.377209	−	0.834982i
$554$	16.8981	−	23.2582i	0.717930	−	0.988146i
$555$	−6.81283	+	51.5579i	−0.289188	+	2.18851i
$556$	−0.310131	+	0.0325961i	−0.0131525	+	0.00138238i
$557$	−2.51256	−	9.37701i	−0.106461	−	0.397317i	0.892046	−	0.451944i	$-0.149269\pi$
$557$	−2.51256	−	9.37701i	−0.106461	−	0.397317i	−0.998507	+	0.0546277i	$0.982603\pi$
$558$	1.69001	−	0.648732i	0.0715437	−	0.0274630i
$559$	−1.64257	−	5.05531i	−0.0694733	−	0.213817i
$560$	−0.125552	+	5.91475i	−0.00530552	+	0.249944i
$561$	−15.8890	+	48.9014i	−0.670835	+	2.06462i
$562$	0.398728	+	7.60818i	0.0168193	+	0.320932i
$563$	33.4977	−	21.7537i	1.41176	−	0.916809i	0.411777	−	0.911285i	$-0.364908\pi$
$563$	33.4977	−	21.7537i	1.41176	−	0.916809i	0.999985	−	0.00552384i	$-0.00175830\pi$
$564$	−1.99551	+	1.79676i	−0.0840260	+	0.0756574i
$565$	−4.79711	−	1.42347i	−0.201816	−	0.0598857i
$566$	7.05774	−	2.29320i	0.296659	−	0.0963903i
$567$	−17.5611	+	12.9053i	−0.737498	+	0.541971i
$568$	−0.624471	−	0.624471i	−0.0262022	−	0.0262022i
$569$	6.81415	−	15.3048i	0.285664	−	0.641612i	−0.712533	−	0.701639i	$-0.752452\pi$
$569$	6.81415	−	15.3048i	0.285664	−	0.641612i	0.998197	+	0.0600269i	$0.0191187\pi$
$570$	24.8540	−	10.2809i	1.04102	−	0.430622i
$571$	3.69795	−	1.64643i	0.154755	−	0.0689012i	−0.327898	−	0.944713i	$-0.606340\pi$
$571$	3.69795	−	1.64643i	0.154755	−	0.0689012i	0.482652	+	0.875812i	$0.339673\pi$
$572$	2.56334	−	2.07575i	0.107179	−	0.0867914i
$573$	3.48917	+	6.84789i	0.145762	+	0.286075i
$574$	23.8107	−	6.51895i	0.993838	−	0.272096i
$575$	−41.5524	−	8.87380i	−1.73286	−	0.370063i
$576$	−1.61790	−	2.80228i	−0.0674124	−	0.116762i
$577$	0.0286590	−	0.546846i	0.00119309	−	0.0227655i	−0.997968	−	0.0637153i	$-0.979705\pi$
$577$	0.0286590	−	0.546846i	0.00119309	−	0.0227655i	0.999161	+	0.0409498i	$0.0130384\pi$
$578$	−6.01408	−	2.30859i	−0.250153	−	0.0960246i
$579$	4.59394	−	43.7084i	0.190917	−	1.81646i
$580$	0.200893	−	7.53405i	0.00834161	−	0.312834i
$581$	−27.5460	+	10.7460i	−1.14280	+	0.445821i
$582$	16.4921	−	16.4921i	0.683620	−	0.683620i
$583$	−12.7577	−	33.2350i	−0.528371	−	1.37645i
$584$	−0.321937	−	0.0684297i	−0.0133218	−	0.00283164i
$585$	−4.78619	+	2.92983i	−0.197885	+	0.121134i
$586$	−2.64567	−	12.4469i	−0.109291	−	0.514176i
$587$	8.32310	−	16.3350i	0.343531	−	0.674217i	−0.653007	−	0.757352i	$-0.726493\pi$
$587$	8.32310	−	16.3350i	0.343531	−	0.674217i	0.996538	+	0.0831340i	$0.0264930\pi$
$588$	7.76605	−	15.6602i	0.320266	−	0.645816i
$589$	−2.56287	−	0.832727i	−0.105601	−	0.0343119i
$590$	6.77148	+	4.65868i	0.278777	+	0.191795i
$591$	2.06883	−	9.73309i	0.0851004	−	0.400366i
$592$	−7.23813	−	5.86132i	−0.297485	−	0.240899i
$593$	26.7429	+	7.16573i	1.09820	+	0.294261i	0.762030	−	0.647541i	$-0.224203\pi$
$593$	26.7429	+	7.16573i	1.09820	+	0.294261i	0.336167	+	0.941802i	$0.390869\pi$
$594$	2.02585	−	1.47187i	0.0831217	−	0.0603915i
$595$	−0.891715	−	28.6299i	−0.0365568	−	1.17371i
$596$	2.64909	+	1.92468i	0.108511	+	0.0788378i
$597$	−12.3034	−	15.1934i	−0.503544	−	0.621825i
$598$	−6.58182	−	0.344939i	−0.269151	−	0.0141056i
$599$	23.1743	+	13.3797i	0.946878	+	0.546680i	0.892110	−	0.451819i	$-0.149225\pi$
$599$	23.1743	+	13.3797i	0.946878	+	0.546680i	0.0547682	+	0.998499i	$0.482558\pi$
$600$	1.96500	−	12.3302i	0.0802210	−	0.503378i
$601$			14.3685i			0.586103i	0.956097	+	0.293052i	$0.0946708\pi$
$601$			14.3685i			0.586103i	−0.956097	+	0.293052i	$0.905329\pi$
$602$	−12.2061	−	13.4090i	−0.497484	−	0.546510i
$603$	1.68215	+	10.6207i	0.0685026	+	0.432509i
$604$	−2.57224	−	0.270354i	−0.104663	−	0.0110005i
$605$	−15.7967	+	1.23562i	−0.642226	+	0.0502352i
$606$	4.19221	+	39.8862i	0.170297	+	1.62027i
$607$	7.70428	−	28.7528i	0.312707	−	1.16704i	−0.613398	−	0.789774i	$-0.710198\pi$
$607$	7.70428	−	28.7528i	0.312707	−	1.16704i	0.926105	−	0.377265i	$-0.123135\pi$
$608$	−0.753524	+	4.75756i	−0.0305594	+	0.192945i
$609$	−10.0017	+	19.8961i	−0.405291	+	0.806231i
$610$	3.41145	−	18.3575i	0.138125	−	0.743274i
$611$	−0.815773	+	0.173398i	−0.0330026	+	0.00701493i
$612$	8.53270	+	13.1392i	0.344914	+	0.531121i
$613$	−20.4707	−	31.5221i	−0.826803	−	1.27317i	−0.959415	−	0.281998i	$-0.909003\pi$
$613$	−20.4707	−	31.5221i	−0.826803	−	1.27317i	0.132612	−	0.991168i	$-0.457664\pi$
$614$	11.6869	−	2.48413i	0.471645	−	0.100251i
$615$	−51.6589	+	6.77588i	−2.08309	+	0.273230i
$616$	5.05364	−	10.0530i	0.203617	−	0.405048i
$617$	−2.31569	+	14.6207i	−0.0932262	+	0.588607i	0.896209	+	0.443632i	$0.146310\pi$
$617$	−2.31569	+	14.6207i	−0.0932262	+	0.588607i	−0.989435	+	0.144975i	$0.953690\pi$
$618$	−2.73637	+	10.2123i	−0.110073	+	0.410798i
$619$	−0.233947	−	2.22586i	−0.00940313	−	0.0894648i	0.988814	−	0.149155i	$-0.0476554\pi$
$619$	−0.233947	−	2.22586i	−0.00940313	−	0.0894648i	−0.998217	+	0.0596903i	$0.980989\pi$
$620$	−0.951620	+	0.811973i	−0.0382180	+	0.0326096i
$621$	−4.97626	−	0.523026i	−0.199690	−	0.0209883i
$622$	−0.0912408	−	0.576071i	−0.00365842	−	0.0230984i
$623$	8.02873	+	8.81994i	0.321664	+	0.353363i
$624$		−	1.93676i		−	0.0775326i
$625$	18.6106	−	16.6927i	0.744424	−	0.667707i
$626$	10.2434	+	5.91402i	0.409408	+	0.236372i
$627$	−51.0842	−	2.67721i	−2.04011	−	0.106918i
$628$	−1.71030	−	2.11205i	−0.0682486	−	0.0842800i
$629$	36.4820	+	26.5057i	1.45463	+	1.05685i
$630$	−10.7645	+	15.8300i	−0.428868	+	0.630681i
$631$	−2.52009	+	1.83095i	−0.100323	+	0.0728891i	−0.636816	−	0.771016i	$-0.719749\pi$
$631$	−2.52009	+	1.83095i	−0.100323	+	0.0728891i	0.536493	+	0.843905i	$0.319749\pi$
$632$	−7.86616	−	2.10773i	−0.312899	−	0.0838411i
$633$	52.6619	+	42.6448i	2.09312	+	1.69498i
$634$	5.10180	−	24.0021i	0.202619	−	0.953245i
$635$	−19.6046	+	15.0282i	−0.777985	+	0.596377i
$636$	−19.8804	−	6.45952i	−0.788307	−	0.256137i
$637$	4.52083	−	3.00622i	0.179122	−	0.119111i
$638$	−6.50754	+	12.7718i	−0.257636	+	0.505639i
$639$	−0.594137	−	2.79520i	−0.0235037	−	0.110576i
$640$	1.69962	+	1.45302i	0.0671836	+	0.0574358i
$641$	21.4151	+	4.55191i	0.845844	+	0.179790i	0.610395	−	0.792097i	$-0.291011\pi$
$641$	21.4151	+	4.55191i	0.845844	+	0.179790i	0.235449	+	0.971887i	$0.424344\pi$
$642$	17.6214	+	45.9054i	0.695462	+	1.81174i
$643$	2.54053	−	2.54053i	0.100189	−	0.100189i	−0.655236	−	0.755425i	$-0.727431\pi$
$643$	2.54053	−	2.54053i	0.100189	−	0.100189i	0.755425	+	0.655236i	$0.227431\pi$
$644$	−20.9459	+	8.17124i	−0.825382	+	0.321992i
$645$	21.6604	+	31.5485i	0.852879	+	1.24222i
$646$	2.43779	−	23.1940i	0.0959135	−	0.912556i
$647$	−1.50108	−	0.576211i	−0.0590136	−	0.0226532i	0.328682	−	0.944441i	$-0.393396\pi$
$647$	−1.50108	−	0.576211i	−0.0590136	−	0.0226532i	−0.387696	+	0.921787i	$0.626729\pi$
$648$	−0.431092	+	8.22573i	−0.0169349	+	0.323137i
$649$	−7.81610	−	13.5379i	−0.306809	−	0.531408i
$650$	2.44335	−	3.01139i	0.0958360	−	0.118116i
$651$	3.56496	−	0.976025i	0.139722	−	0.0382534i
$652$	9.18529	+	18.0271i	0.359724	+	0.705998i
$653$	−25.5739	+	20.7093i	−1.00078	+	0.810417i	−0.981899	−	0.189404i	$-0.939344\pi$
$653$	−25.5739	+	20.7093i	−1.00078	+	0.810417i	−0.0188830	+	0.999822i	$0.506011\pi$
$654$	44.4530	−	19.7918i	1.73825	−	0.773919i
$655$	27.3718	+	6.58524i	1.06950	+	0.257306i
$656$	3.79517	−	8.52409i	0.148177	−	0.332810i
$657$	−0.753064	−	0.753064i	−0.0293798	−	0.0293798i
$658$	−2.29254	+	1.68474i	−0.0893723	+	0.0656778i
$659$	9.03671	−	2.93620i	0.352020	−	0.114378i	−0.127669	−	0.991817i	$-0.540749\pi$
$659$	9.03671	−	2.93620i	0.352020	−	0.114378i	0.479689	+	0.877439i	$0.340749\pi$
$660$	−13.4596	+	19.5638i	−0.523915	+	0.761521i
$661$	4.31625	−	3.88637i	0.167883	−	0.151162i	−0.580907	−	0.813970i	$-0.697302\pi$
$661$	4.31625	−	3.88637i	0.167883	−	0.151162i	0.748790	+	0.662808i	$0.230635\pi$
$662$	−26.9709	+	17.5151i	−1.04825	+	0.680743i
$663$	0.490765	+	9.36436i	0.0190597	+	0.363682i
$664$	−3.45345	+	10.6286i	−0.134020	+	0.412471i
$665$	27.2830	−	8.22890i	1.05799	−	0.319103i
$666$	−9.31294	−	28.6623i	−0.360869	−	1.11064i
$667$	26.7399	−	10.2645i	1.03537	−	0.397443i
$668$	1.01034	+	3.77063i	0.0390912	+	0.145890i
$669$	22.7308	−	2.38911i	0.878825	−	0.0923682i
$670$	−3.54256	−	6.53204i	−0.136861	−	0.252355i
$671$	−20.8733	+	28.7297i	−0.805806	+	1.10910i
$672$	−2.72001	−	6.02097i	−0.104927	−	0.232264i
$673$	−15.8813	+	8.09192i	−0.612179	+	0.311921i	−0.732450	−	0.680820i	$-0.761623\pi$
$673$	−15.8813	+	8.09192i	−0.612179	+	0.311921i	0.120272	+	0.992741i	$0.461623\pi$
$674$	−13.6848	+	7.90092i	−0.527119	+	0.304332i
$675$	1.97206	−	2.18598i	0.0759046	−	0.0841386i
$676$	−6.19923	+	10.7374i	−0.238432	+	0.412976i
$677$	29.0551	+	18.8686i	1.11668	+	0.725180i	0.964739	−	0.263209i	$-0.0847810\pi$
$677$	29.0551	+	18.8686i	1.11668	+	0.725180i	0.151941	+	0.988390i	$0.451448\pi$
$678$	5.51932	−	0.874174i	0.211968	−	0.0335725i
$679$	19.1194	−	15.6554i	0.733737	−	0.600800i
$680$	−8.58596	−	6.59477i	−0.329257	−	0.252898i
$681$	−55.3962	−	24.6640i	−2.12279	−	0.945126i
$682$	2.29811	−	0.615778i	0.0879993	−	0.0235793i
$683$	−18.0181	+	22.2505i	−0.689444	+	0.851393i	−0.994906	−	0.100812i	$-0.967856\pi$
$683$	−18.0181	+	22.2505i	−0.689444	+	0.851393i	0.305461	+	0.952204i	$0.401189\pi$
$684$	−10.4293	+	11.5829i	−0.398775	+	0.442885i
$685$	−6.72651	−	7.09506i	−0.257007	−	0.271088i
$686$	9.83229	−	15.6948i	0.375399	−	0.599229i
$687$	−26.6132	−	13.5601i	−1.01536	−	0.517351i
$688$	−6.84408	+	0.358683i	−0.260928	+	0.0136747i
$689$	−4.34424	−	4.82477i	−0.165502	−	0.183809i
$690$	46.1448	−	11.0550i	1.75670	−	0.420858i
$691$	16.2271	+	14.6110i	0.617310	+	0.555828i	0.917342	−	0.398101i	$-0.130331\pi$
$691$	16.2271	+	14.6110i	0.617310	+	0.555828i	−0.300032	+	0.953929i	$0.596997\pi$
$692$	2.91133	+	0.461109i	0.110672	+	0.0175288i
$693$	31.4312	−	18.3753i	1.19397	−	0.698020i
$694$	−16.5355	−	22.7591i	−0.627677	−	0.863923i
$695$	0.691284	+	0.0913457i	0.0262219	+	0.00346494i
$696$	3.42339	+	7.68907i	0.129763	+	0.291453i
$697$	−16.1899	+	42.1761i	−0.613236	+	1.59753i
$698$	−9.74985	+	15.0134i	−0.369037	+	0.568267i
$699$	50.6854			1.91710
$700$	3.36660	−	12.7932i	0.127246	−	0.483538i
$701$	−6.89111			−0.260273			−0.130137	−	0.991496i	$-0.541542\pi$
$701$	−6.89111			−0.260273			−0.130137	+	0.991496i	$0.541542\pi$
$702$	0.248724	−	0.383001i	0.00938748	−	0.0144555i
$703$	−16.0775	+	41.8832i	−0.606373	+	1.57965i
$704$	−1.72976	−	3.88510i	−0.0651927	−	0.146425i
$705$	5.27808	−	2.86250i	0.198784	−	0.107808i
$706$	15.8548	+	21.8223i	0.596703	+	0.821292i
$707$	0.230929	+	42.4918i	0.00868498	+	1.59807i
$708$	−9.06595	−	1.43591i	−0.340719	−	0.0539647i
$709$	−16.0356	−	14.4385i	−0.602228	−	0.542249i	0.310627	−	0.950532i	$-0.399461\pi$
$709$	−16.0356	−	14.4385i	−0.602228	−	0.542249i	−0.912855	+	0.408283i	$0.866128\pi$
$710$	1.03100	+	1.68424i	0.0386927	+	0.0632086i
$711$	−17.6324	−	19.5827i	−0.661266	−	0.734410i
$712$	4.50178	−	0.235928i	0.168711	−	0.00884179i
$713$	−4.23592	−	2.15831i	−0.158636	−	0.0808292i
$714$	14.6771	+	28.4225i	0.549276	+	1.06368i
$715$	−6.65848	+	3.17203i	−0.249013	+	0.118627i
$716$	7.73598	−	8.59167i	0.289107	−	0.321086i
$717$	−7.70524	+	9.51518i	−0.287757	+	0.355351i
$718$	−27.8400	+	7.45970i	−1.03898	+	0.278394i
$719$	29.8548	+	13.2922i	1.11340	+	0.495716i	0.879190	−	0.476471i	$-0.158084\pi$
$719$	29.8548	+	13.2922i	1.11340	+	0.495716i	0.234206	+	0.972187i	$0.424751\pi$
$720$	2.05166	+	6.93848i	0.0764609	+	0.258582i
$721$	−3.95742	+	10.4793i	−0.147382	+	0.390269i
$722$	4.15046	−	0.657369i	0.154464	−	0.0244647i
$723$	51.5480	+	33.4757i	1.91709	+	1.24497i
$724$	10.8060	−	18.7166i	0.401602	−	0.695596i
$725$	−4.37735	+	16.2742i	−0.162571	+	0.604409i
$726$	15.3243	−	8.84752i	0.568740	−	0.328362i
$727$	−15.8042	+	8.05263i	−0.586145	+	0.298656i	−0.721801	−	0.692100i	$-0.756686\pi$
$727$	−15.8042	+	8.05263i	−0.586145	+	0.298656i	0.135657	+	0.990756i	$0.456686\pi$
$728$	0.203400	−	2.04191i	0.00753850	−	0.0756781i
$729$	−18.2592	+	25.1316i	−0.676266	+	0.930800i
$730$	0.664110	+	0.317154i	0.0245798	+	0.0117384i
$731$	33.0006	−	3.46850i	1.22057	−	0.128287i
$732$	5.39689	+	20.1415i	0.199475	+	0.744450i
$733$	−44.4548	+	17.0646i	−1.64198	+	0.630296i	−0.991603	−	0.129318i	$-0.958721\pi$
$733$	−44.4548	+	17.0646i	−1.64198	+	0.630296i	−0.650374	+	0.759614i	$0.725388\pi$
$734$	−0.855552	−	2.63312i	−0.0315790	−	0.0971902i
$735$	−25.0746	+	29.9839i	−0.924890	+	1.10597i
$736$	−2.62599	+	8.08197i	−0.0967953	+	0.297905i
$737$	0.739648	+	14.1133i	0.0272453	+	0.519871i
$738$	25.3216	−	16.4440i	0.932099	−	0.605312i
$739$	−10.0969	+	9.09129i	−0.371421	+	0.334429i	−0.833611	−	0.552352i	$-0.813730\pi$
$739$	−10.0969	+	9.09129i	−0.371421	+	0.334429i	0.462190	+	0.886781i	$0.347064\pi$
$740$	12.6702	+	16.5285i	0.465767	+	0.607601i
$741$	−8.87254	+	2.88286i	−0.325941	+	0.105905i
$742$	−20.2812	−	8.89803i	−0.744547	−	0.326657i
$743$	23.8086	+	23.8086i	0.873452	+	0.873452i	0.992847	−	0.119395i	$-0.0380955\pi$
$743$	23.8086	+	23.8086i	0.873452	+	0.873452i	−0.119395	+	0.992847i	$0.538096\pi$
$744$	0.568218	−	1.27624i	0.0208319	−	0.0467892i
$745$	−4.75253	−	5.56989i	−0.174119	−	0.204065i
$746$	7.61643	−	3.39105i	0.278857	−	0.124155i
$747$	−28.1031	+	22.7574i	−1.02824	+	0.832651i
$748$	9.34794	+	18.3464i	0.341794	+	0.670809i
$749$	13.7570	+	50.2481i	0.502671	+	1.83602i
$750$	−10.7212	+	25.7785i	−0.391482	+	0.941297i
$751$	6.33114	+	10.9659i	0.231027	+	0.400150i	0.958110	−	0.286399i	$-0.0924582\pi$
$751$	6.33114	+	10.9659i	0.231027	+	0.400150i	−0.727084	+	0.686549i	$0.759125\pi$
$752$	−0.0562774	+	1.07384i	−0.00205223	+	0.0391588i
$753$	−16.7960	−	6.44739i	−0.612082	−	0.234956i
$754$	−0.273252	+	2.59982i	−0.00995125	+	0.0946798i
$755$	5.45074	+	1.93314i	0.198373	+	0.0703543i
$756$	0.235337	−	1.53998i	0.00855911	−	0.0560084i
$757$	2.76287	−	2.76287i	0.100418	−	0.100418i	−0.655113	−	0.755531i	$-0.727379\pi$
$757$	2.76287	−	2.76287i	0.100418	−	0.100418i	0.755531	+	0.655113i	$0.227379\pi$
$758$	0.254240	+	0.662319i	0.00923443	+	0.0240565i
$759$	−88.2741	−	18.7632i	−3.20415	−	0.681062i
$760$	4.12658	−	9.94899i	0.149687	−	0.360888i
$761$	−6.14572	−	28.9133i	−0.222782	−	1.04811i	−0.937309	−	0.348499i	$-0.886691\pi$
$761$	−6.14572	−	28.9133i	−0.222782	−	1.04811i	0.714527	−	0.699608i	$-0.246642\pi$
$762$	12.5239	−	24.5795i	0.453693	−	0.890422i
$763$	48.9448	−	16.1977i	1.77192	−	0.586398i
$764$	2.92709	+	0.951070i	0.105898	+	0.0344085i
$765$	−11.6781	−	33.0280i	−0.422221	−	1.19413i
$766$	4.32296	−	20.3379i	0.156195	−	0.734839i
$767$	−2.21555	−	1.79412i	−0.0799988	−	0.0647818i
$768$	−2.41207	−	0.646312i	−0.0870380	−	0.0233218i
$769$	−18.9476	+	13.7662i	−0.683267	+	0.496423i	−0.874440	−	0.485134i	$-0.838771\pi$
$769$	−18.9476	+	13.7662i	−0.683267	+	0.496423i	0.191173	+	0.981556i	$0.438771\pi$
$770$	−16.2449	+	19.2124i	−0.585426	+	0.692366i
$771$	43.5162	+	31.6164i	1.56720	+	1.13864i
$772$	−11.0758	−	13.6775i	−0.398628	−	0.492264i
$773$	−49.6519	−	2.60214i	−1.78585	−	0.0935926i	−0.869492	−	0.493946i	$-0.835554\pi$
$773$	−49.6519	−	2.60214i	−1.78585	−	0.0935926i	−0.916361	+	0.400354i	$0.868887\pi$
$774$	−19.2053	−	11.0882i	−0.690322	−	0.398558i
$775$	2.49355	−	1.26752i	0.0895709	−	0.0455308i
$776$		−	9.33997i		−	0.335285i
$777$	−13.1207	−	60.1194i	−0.470701	−	2.15677i
$778$	2.13502	+	13.4800i	0.0765441	+	0.483280i
$779$	−44.6989	−	4.69805i	−1.60150	−	0.168325i
$780$	−1.01300	+	4.21059i	−0.0362714	+	0.150763i
$781$	−0.392585	−	3.73520i	−0.0140478	−	0.133656i
$782$	10.6489	−	39.7422i	0.380803	−	1.42118i
$783$	−0.310462	+	1.96018i	−0.0110950	+	0.0700511i
$784$	−2.23535	−	6.63349i	−0.0798340	−	0.236910i
$785$	2.61358	+	5.48623i	0.0932825	+	0.195812i
$786$	−30.7530	+	6.53674i	−1.09692	+	0.233158i
$787$	10.5641	+	16.2673i	0.376570	+	0.579867i	0.975246	−	0.221125i	$-0.0709728\pi$
$787$	10.5641	+	16.2673i	0.376570	+	0.579867i	−0.598676	+	0.800992i	$0.704306\pi$
$788$	−2.17025	−	3.34189i	−0.0773119	−	0.119050i
$789$	35.0532	−	7.45079i	1.24793	−	0.265255i
$790$	15.9989	+	8.69660i	0.569215	+	0.309411i
$791$	5.91075	−	0.341990i	0.210162	−	0.0121598i
$792$	2.15271	−	13.5917i	0.0764932	−	0.482959i
$793$	−1.67621	+	6.25570i	−0.0595240	+	0.222146i
$794$	1.20373	+	11.4528i	0.0427189	+	0.406443i
$795$	39.8420	+	24.4414i	1.41305	+	0.866849i
$796$	−7.78613	−	0.818355i	−0.275972	−	0.0290058i
$797$	−7.27358	−	45.9236i	−0.257644	−	1.62670i	−0.689172	−	0.724598i	$-0.742026\pi$
$797$	−7.27358	−	45.9236i	−0.257644	−	1.62670i	0.431528	−	0.902099i	$-0.357974\pi$
$798$	−23.5340	+	21.4229i	−0.833095	+	0.758361i
$799$		−	5.20632i		−	0.184186i
$800$	−2.93505	−	4.04789i	−0.103770	−	0.143115i
$801$	12.6326	+	7.29341i	0.446350	+	0.257700i
$802$	26.6205	+	1.39512i	0.940001	+	0.0492634i
$803$	−0.880866	−	1.08778i	−0.0310851	−	0.0383869i
$804$	6.71361	+	4.87772i	0.236771	+	0.172024i
$805$	49.8109	−	6.80905i	1.75560	−	0.239988i
$806$	0.351030	−	0.255038i	0.0123645	−	0.00898334i
$807$	−11.1562	−	2.98929i	−0.392716	−	0.105228i
$808$	12.4814	+	10.1073i	0.439096	+	0.355573i
$809$	−5.71657	+	26.8944i	−0.200984	+	0.945555i	0.755811	+	0.654790i	$0.227243\pi$
$809$	−5.71657	+	26.8944i	−0.200984	+	0.945555i	−0.956795	+	0.290765i	$0.906090\pi$
$810$	5.23959	−	17.6576i	0.184101	−	0.620423i
$811$	−19.5779	−	6.36124i	−0.687472	−	0.223373i	−0.0556085	−	0.998453i	$-0.517710\pi$
$811$	−19.5779	−	6.36124i	−0.687472	−	0.223373i	−0.631864	+	0.775079i	$0.717710\pi$
$812$	2.80173	+	8.46601i	0.0983215	+	0.297099i
$813$	−1.47384	+	2.89258i	−0.0516900	+	0.101447i
$814$	−8.23521	−	38.7436i	−0.288644	−	1.35796i
$815$	−10.5402	−	43.9959i	−0.369208	−	1.54111i
$816$	11.8263	+	2.51375i	0.414002	+	0.0879988i
$817$	11.8305	+	30.8196i	0.413898	+	1.07824i
$818$	9.09861	−	9.09861i	0.318126	−	0.318126i
$819$	4.15051	−	5.18280i	0.145031	−	0.181102i
$820$	−12.7093	+	16.5467i	−0.443827	+	0.577834i
$821$	−3.46061	+	32.9255i	−0.120776	+	1.14911i	0.751376	+	0.659874i	$0.229390\pi$
$821$	−3.46061	+	32.9255i	−0.120776	+	1.14911i	−0.872152	+	0.489235i	$0.837276\pi$
$822$	10.1932	+	3.91279i	0.355528	+	0.136474i
$823$	−0.711648	+	13.5790i	−0.0248065	+	0.473336i	0.957777	+	0.287513i	$0.0928284\pi$
$823$	−0.711648	+	13.5790i	−0.0248065	+	0.473336i	−0.982583	+	0.185823i	$0.940505\pi$
$824$	2.11691	+	3.66660i	0.0737461	+	0.127732i
$825$	39.4944	−	35.4925i	1.37502	−	1.23569i
$826$	−9.40732	−	2.46597i	−0.327323	−	0.0858020i
$827$	−16.5486	−	32.4785i	−0.575451	−	1.12939i	−0.976938	−	0.213522i	$-0.931506\pi$
$827$	−16.5486	−	32.4785i	−0.575451	−	1.12939i	0.401487	−	0.915865i	$-0.368494\pi$
$828$	−21.3695	+	17.3047i	−0.742641	+	0.601379i
$829$	−0.385496	+	0.171634i	−0.0133888	+	0.00596108i	−0.413420	−	0.910540i	$-0.635666\pi$
$829$	−0.385496	+	0.171634i	−0.0133888	+	0.00596108i	0.400031	+	0.916501i	$0.368999\pi$
$830$	13.0671	−	21.3007i	0.453566	−	0.739359i
$831$	29.1997	−	65.5835i	1.01292	−	2.27507i
$832$	−0.548423	−	0.548423i	−0.0190132	−	0.0190132i
$833$	12.4889	+	31.5069i	0.432716	+	1.09165i
$834$	−0.740598	+	0.240635i	−0.0256448	+	0.00833251i
$835$	−0.224320	−	8.72594i	−0.00776290	−	0.301974i
$836$	−15.2233	+	13.7072i	−0.526510	+	0.474072i
$837$	0.276264	−	0.179408i	0.00954910	−	0.00620126i
$838$	0.423038	+	8.07204i	0.0146136	+	0.278844i
$839$	9.61652	−	29.5966i	0.331999	−	1.02179i	−0.636182	−	0.771539i	$-0.719487\pi$
$839$	9.61652	−	29.5966i	0.331999	−	1.02179i	0.968181	−	0.250249i	$-0.0805125\pi$
$840$	2.76420	+	14.5125i	0.0953738	+	0.500728i
$841$	5.45092	+	16.7762i	0.187963	+	0.578490i
$842$	−14.4916	+	5.56281i	−0.499414	+	0.191707i
$843$	4.92401	+	18.3766i	0.169592	+	0.632925i
$844$	26.9875	−	2.83650i	0.928948	−	0.0976364i
$845$	19.0934	−	20.1010i	0.656834	−	0.691496i
$846$	−2.04519	+	2.81496i	−0.0703151	+	0.0967804i
$847$	17.0854	−	7.71846i	0.587063	−	0.265209i
$848$	−7.45852	+	3.80031i	−0.256127	+	0.130503i
$849$	16.0485	−	9.26563i	0.550785	−	0.317996i
$850$	15.2169	+	18.8281i	0.521934	+	0.645797i
$851$	−39.5735	+	68.5433i	−1.35656	+	2.34963i
$852$	−1.84954	−	1.20111i	−0.0633643	−	0.0411492i
$853$	50.8629	−	8.05589i	1.74151	−	0.275828i	0.796922	−	0.604082i	$-0.206460\pi$
$853$	50.8629	−	8.05589i	1.74151	−	0.275828i	0.944590	+	0.328254i	$0.106460\pi$
$854$	3.57461	+	21.8017i	0.122321	+	0.746038i
$855$	28.7321	−	19.7268i	0.982616	−	0.674641i
$856$	17.9885	+	8.00902i	0.614836	+	0.273743i
$857$	29.7378	−	7.96821i	1.01582	−	0.272189i	0.287763	−	0.957702i	$-0.407089\pi$
$857$	29.7378	−	7.96821i	1.01582	−	0.272189i	0.728061	+	0.685513i	$0.240422\pi$
$858$	5.18347	−	6.40106i	0.176961	−	0.218528i
$859$	11.2961	−	12.5456i	0.385419	−	0.428051i	−0.518949	−	0.854805i	$-0.673676\pi$
$859$	11.2961	−	12.5456i	0.385419	−	0.428051i	0.904367	+	0.426755i	$0.140343\pi$
$860$	15.0669	+	2.79994i	0.513776	+	0.0954771i
$861$	54.7751	−	28.2853i	1.86673	−	0.963961i
$862$	−6.97417	−	3.55352i	−0.237541	−	0.121033i
$863$	52.6503	−	2.75928i	1.79224	−	0.0939271i	0.873021	−	0.487683i	$-0.162158\pi$
$863$	52.6503	−	2.75928i	1.79224	−	0.0939271i	0.919215	+	0.393756i	$0.128825\pi$
$864$	−0.393993	−	0.437574i	−0.0134039	−	0.0148866i
$865$	−6.08816	−	2.52521i	−0.207004	−	0.0858597i
$866$	−13.5608	−	12.2102i	−0.460816	−	0.414921i
$867$	−15.8885	−	2.51649i	−0.539602	−	0.0854646i
$868$	0.733096	−	1.28585i	0.0248829	−	0.0436445i
$869$	−20.3568	−	28.0188i	−0.690558	−	0.950471i
$870$	−3.42089	−	18.5069i	−0.115979	−	0.627442i
$871$	1.04833	+	2.35458i	0.0355212	+	0.0797820i
$872$	6.98320	−	18.1919i	0.236481	−	0.616054i
$873$	16.4602	−	25.3465i	0.557093	−	0.857848i
$874$	40.9332			1.38458
$875$	−14.0105	+	26.0520i	−0.473640	+	0.880718i
$876$	−0.821887			−0.0277690
$877$	31.2836	−	48.1725i	1.05637	−	1.62667i	0.323604	−	0.946193i	$-0.395105\pi$
$877$	31.2836	−	48.1725i	1.05637	−	1.62667i	0.732768	−	0.680478i	$-0.238228\pi$
$878$	−8.92249	+	23.2439i	−0.301119	+	0.784443i
$879$	−12.9245	−	29.0290i	−0.435934	−	0.979124i
$880$	1.72849	+	9.35108i	0.0582675	+	0.315225i
$881$	−25.9011	−	35.6498i	−0.872630	−	1.20107i	−0.978408	−	0.206683i	$-0.933733\pi$
$881$	−25.9011	−	35.6498i	−0.872630	−	1.20107i	0.105778	−	0.994390i	$-0.466267\pi$
$882$	5.62425	−	21.9412i	0.189378	−	0.738798i
$883$	8.16875	+	1.29380i	0.274900	+	0.0435399i	0.292362	−	0.956308i	$-0.405559\pi$
$883$	8.16875	+	1.29380i	0.274900	+	0.0435399i	−0.0174621	+	0.999848i	$0.505559\pi$
$884$	2.79062	+	2.51269i	0.0938588	+	0.0845109i
$885$	18.9587	+	7.86357i	0.637289	+	0.264331i
$886$	−4.71103	−	5.23213i	−0.158270	−	0.175777i
$887$	−30.6948	+	1.60865i	−1.03063	+	0.0540131i	−0.560146	−	0.828394i	$-0.689255\pi$
$887$	−30.6948	+	1.60865i	−1.03063	+	0.0540131i	−0.470486	+	0.882407i	$0.655922\pi$
$888$	−20.7229	−	10.5588i	−0.695415	−	0.354331i
$889$	15.7851	−	24.5986i	0.529417	−	0.825012i
$890$	−9.91043	−	1.84169i	−0.332198	−	0.0617337i
$891$	−23.4398	+	26.0325i	−0.785261	+	0.872121i
$892$	5.76006	−	7.11308i	0.192861	−	0.238164i
$893$	5.00314	−	1.34059i	0.167424	−	0.0448610i
$894$	7.46990	+	3.32581i	0.249831	+	0.111232i
$895$	−21.3121	+	14.6324i	−0.712384	+	0.489106i
$896$	−2.47514	−	0.934715i	−0.0826886	−	0.0312266i
$897$	−16.2558	+	2.57466i	−0.542764	+	0.0859654i
$898$	4.32497	+	2.80867i	0.144326	+	0.0937265i
$899$	−0.942808	+	1.63299i	−0.0314444	+	0.0544633i
$900$	−0.831283	−	16.1576i	−0.0277094	−	0.538587i
$901$	35.0994	−	20.2646i	1.16933	−	0.675113i
$902$	35.3566	−	18.0151i	1.17725	−	0.599838i
$903$	−36.7763	−	26.4154i	−1.22384	−	0.879049i
$904$	1.31534	−	1.81041i	0.0437476	−	0.0602134i
$905$	−33.2822	+	35.0385i	−1.10634	+	1.16472i
$906$	−6.42330	+	0.675116i	−0.213400	+	0.0224292i
$907$	−9.93482	−	37.0773i	−0.329880	−	1.23113i	−0.909314	−	0.416111i	$-0.863393\pi$
$907$	−9.93482	−	37.0773i	−0.329880	−	1.23113i	0.579433	−	0.815020i	$-0.303274\pi$
$908$	−22.6702	+	8.70229i	−0.752338	+	0.288795i
$909$	16.0593	+	49.4253i	0.532652	+	1.63933i
$910$	−1.51020	+	4.33279i	−0.0500625	+	0.143631i
$911$	−6.74627	+	20.7629i	−0.223514	+	0.687905i	0.774925	+	0.632053i	$0.217788\pi$
$911$	−6.74627	+	20.7629i	−0.223514	+	0.687905i	−0.998439	+	0.0558520i	$0.982212\pi$
$912$	0.629522	+	12.0120i	0.0208455	+	0.397757i
$913$	−39.8597	+	25.8852i	−1.31916	+	0.856675i
$914$	8.59583	−	7.73972i	0.284325	−	0.256007i
$915$	−1.19824	−	46.6110i	−0.0396126	−	1.54091i
$916$	−11.3757	+	3.69618i	−0.375863	+	0.122125i
$917$	−33.1090	+	3.66192i	−1.09335	+	0.120927i
$918$	2.01586	+	2.01586i	0.0665332	+	0.0665332i
$919$	0.220300	−	0.494802i	0.00726702	−	0.0163220i	−0.909875	−	0.414881i	$-0.863823\pi$
$919$	0.220300	−	0.494802i	0.00726702	−	0.0163220i	0.917143	+	0.398559i	$0.130490\pi$
$920$	9.93618	−	16.1970i	0.327586	−	0.533999i
$921$	27.2566	−	12.1354i	0.898135	−	0.399875i
$922$	−1.77934	+	1.44088i	−0.0585994	+	0.0474528i
$923$	−0.310960	−	0.610294i	−0.0102354	−	0.0200881i
$924$	7.12455	−	27.1792i	0.234381	−	0.894129i
$925$	−18.9005	−	42.5607i	−0.621443	−	1.39939i
$926$	1.34661	+	2.33240i	0.0442525	+	0.0766475i
$927$	−0.716991	+	13.6810i	−0.0235491	+	0.449343i
$928$	3.14666	+	1.20789i	0.103294	+	0.0396509i
$929$	−3.92594	+	37.3529i	−0.128806	+	1.22551i	0.718927	+	0.695085i	$0.244633\pi$
$929$	−3.92594	+	37.3529i	−0.128806	+	1.22551i	−0.847733	+	0.530423i	$0.822033\pi$
$930$	−1.90285	+	2.47739i	−0.0623969	+	0.0812367i
$931$	−27.0615	+	20.1143i	−0.886904	+	0.659220i
$932$	14.3523	−	14.3523i	0.470126	−	0.470126i
$933$	−0.521953	−	1.35973i	−0.0170880	−	0.0445157i
$934$	−34.5733	−	7.34877i	−1.13127	−	0.240459i
$935$	−10.7269	−	44.7750i	−0.350806	−	1.46430i
$936$	−0.521784	−	2.45480i	−0.0170550	−	0.0802377i
$937$	18.2227	−	35.7641i	0.595310	−	1.16836i	−0.375119	−	0.926977i	$-0.622398\pi$
$937$	18.2227	−	35.7641i	0.595310	−	1.16836i	0.970429	−	0.241385i	$-0.0776017\pi$
$938$	6.56582	+	5.84759i	0.214381	+	0.190931i
$939$	28.0908	+	9.12727i	0.916710	+	0.297857i
$940$	0.684009	−	2.30512i	0.0223099	−	0.0751849i
$941$	3.56749	−	16.7837i	0.116297	−	0.547134i	−0.880965	−	0.473182i	$-0.843105\pi$
$941$	3.56749	−	16.7837i	0.116297	−	0.547134i	0.997262	−	0.0739522i	$-0.0235612\pi$
$942$	−5.27412	−	4.27090i	−0.171840	−	0.139153i
$943$	−76.5901	−	20.5223i	−2.49412	−	0.668297i
$944$	−2.97376	+	2.16056i	−0.0967875	+	0.0703203i
$945$	−1.31710	+	3.22487i	−0.0428452	+	0.104905i
$946$	−23.5798	−	17.1317i	−0.766646	−	0.557001i
$947$	−7.88402	−	9.73595i	−0.256196	−	0.316376i	0.632778	−	0.774333i	$-0.281915\pi$
$947$	−7.88402	−	9.73595i	−0.256196	−	0.316376i	−0.888974	+	0.457957i	$0.848581\pi$
$948$	−20.3081	−	1.06430i	−0.659577	−	0.0345669i
$949$	−0.221069	−	0.127634i	−0.00717620	−	0.00414318i
$950$	−14.1750	+	19.4711i	−0.459899	+	0.631725i
$951$		−	61.2760i		−	1.98701i
$952$	12.2043	+	3.89221i	0.395543	+	0.126147i
$953$	−1.64433	−	10.3819i	−0.0532649	−	0.336301i	−0.999902	−	0.0140000i	$-0.995544\pi$
$953$	−1.64433	−	10.3819i	−0.0532649	−	0.336301i	0.946637	−	0.322301i	$-0.104456\pi$
$954$	−26.9381	−	2.83131i	−0.872154	−	0.0916670i
$955$	−5.86615	−	3.59864i	−0.189824	−	0.116449i
$956$	0.512511	+	4.87621i	0.0165758	+	0.157708i
$957$	−9.26428	+	34.5748i	−0.299472	+	1.11764i
$958$	−6.11338	+	38.5983i	−0.197514	+	1.24706i
$959$	10.3356	+	5.19570i	0.333754	+	0.167778i
$960$	4.90588	+	2.66671i	0.158336	+	0.0860678i
$961$	−30.0164	+	6.38019i	−0.968272	+	0.205813i
$962$	−3.93426	−	6.05823i	−0.126846	−	0.195325i
$963$	34.7021	+	53.4365i	1.11826	+	1.72197i
$964$	24.0757	−	5.11745i	0.775426	−	0.164822i
$965$	16.9254	+	35.5285i	0.544847	+	1.14370i
$966$	−46.9197	+	30.8338i	−1.50962	+	0.992062i
$967$	−6.48464	+	40.9424i	−0.208532	+	1.31662i	0.632047	+	0.774930i	$0.282215\pi$
$967$	−6.48464	+	40.9424i	−0.208532	+	1.31662i	−0.840579	+	0.541689i	$0.817785\pi$
$968$	1.83401	−	6.84462i	0.0589473	−	0.219994i
$969$	−6.08754	−	57.9191i	−0.195560	−	1.86063i
$970$	−4.88517	+	20.3054i	−0.156854	+	0.651968i
$971$	−35.4319	−	3.72404i	−1.13706	−	0.119510i	−0.482768	−	0.875748i	$-0.660368\pi$
$971$	−35.4319	−	3.72404i	−1.13706	−	0.119510i	−0.654296	+	0.756238i	$0.727035\pi$
$972$	3.49405	+	22.0606i	0.112072	+	0.707594i
$973$	−0.806075	+	0.175921i	−0.0258416	+	0.00563975i
$974$			29.9204i			0.958713i
$975$	4.40462	−	8.62414i	0.141061	−	0.276194i
$976$	7.23156	+	4.17514i	0.231476	+	0.133643i
$977$	−12.9500	−	0.678680i	−0.414307	−	0.0217129i	−0.155956	−	0.987764i	$-0.549846\pi$
$977$	−12.9500	−	0.678680i	−0.414307	−	0.0217129i	−0.258351	+	0.966051i	$0.583179\pi$
$978$	31.7954	+	39.2640i	1.01670	+	1.25552i
$979$	15.5099	+	11.2686i	0.495699	+	0.360147i
$980$	1.39015	+	15.5906i	0.0444068	+	0.498024i
$981$	51.0110	−	37.0617i	1.62866	−	1.18329i
$982$	−26.2153	−	7.02436i	−0.836563	−	0.224156i
$983$	−21.4893	−	17.4017i	−0.685401	−	0.555027i	0.222127	−	0.975018i	$-0.428700\pi$
$983$	−21.4893	−	17.4017i	−0.685401	−	0.555027i	−0.907528	+	0.419991i	$0.862033\pi$
$984$	4.84443	−	22.7913i	0.154435	−	0.726559i
$985$	2.97026	+	8.40051i	0.0946402	+	0.267663i
$986$	−15.5203	−	5.04286i	−0.494268	−	0.160597i
$987$	−4.72502	+	5.30537i	−0.150399	+	0.168872i
$988$	−1.69606	+	3.32871i	−0.0539590	+	0.105900i
$989$	12.1088	+	56.9673i	0.385037	+	1.81146i
$990$	−11.7891	+	28.4228i	−0.374681	+	0.903336i
$991$	−59.4933	−	12.6457i	−1.88987	−	0.401704i	−0.891214	−	0.453584i	$-0.850145\pi$
$991$	−59.4933	−	12.6457i	−1.88987	−	0.401704i	−0.998653	+	0.0518803i	$0.983479\pi$
$992$	−0.200486	−	0.522285i	−0.00636545	−	0.0165826i
$993$	−56.7851	+	56.7851i	−1.80202	+	1.80202i
$994$	−1.82381	−	1.46055i	−0.0578477	−	0.0463259i
$995$	16.4993	+	5.85159i	0.523062	+	0.185508i
$996$	−2.91710	+	27.7543i	−0.0924318	+	0.879430i
$997$	29.3205	+	11.2551i	0.928588	+	0.356452i	0.775201	−	0.631714i	$-0.217648\pi$
$997$	29.3205	+	11.2551i	0.928588	+	0.356452i	0.153387	+	0.988166i	$0.450982\pi$
$998$	0.884389	−	16.8751i	0.0279948	−	0.534173i
$999$	−2.74203	−	4.74933i	−0.0867539	−	0.150262i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.3.19	✓	320
7.5	odd	6	inner	350.2.x.a.103.2	yes	320
25.17	odd	20	inner	350.2.x.a.17.2	yes	320
175.117	even	60	inner	350.2.x.a.117.19	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.3.19	✓	320	1.1	even	1	trivial
350.2.x.a.17.2	yes	320	25.17	odd	20	inner
350.2.x.a.103.2	yes	320	7.5	odd	6	inner
350.2.x.a.117.19	yes	320	175.117	even	60	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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(0.544639 - 0.838671i) q^{2} +(0.894901 - 2.33130i) q^{3} +(-0.406737 - 0.913545i) q^{4} +(0.406439 + 2.19882i) q^{5} +(-1.46779 - 2.02024i) q^{6} +(-1.33531 - 2.28406i) q^{7} +(-0.987688 - 0.156434i) q^{8} +(-2.40466 - 2.16517i) q^{9} +(2.06545 + 0.856694i) q^{10} +(-2.84566 - 3.16043i) q^{11} +(-2.49373 + 0.130691i) q^{12} +(-0.691054 - 0.352110i) q^{13} +(-2.64284 - 0.124107i) q^{14} +(5.48982 + 1.02020i) q^{15} +(-0.669131 + 0.743145i) q^{16} +(3.04697 - 3.76270i) q^{17} +(-3.12554 + 0.837485i) q^{18} +(4.40043 + 1.95920i) q^{19} +(1.84341 - 1.26564i) q^{20} +(-6.51980 + 1.06899i) q^{21} +(-4.20041 + 0.665280i) q^{22} +(7.12692 + 4.62828i) q^{23} +(-1.24858 + 2.16260i) q^{24} +(-4.66961 + 1.78737i) q^{25} +(-0.671679 + 0.387794i) q^{26} +(-0.524637 + 0.267316i) q^{27} +(-1.54348 + 2.14888i) q^{28} +(1.98115 - 2.72681i) q^{29} +(3.84558 - 4.04852i) q^{30} +(-0.556378 + 0.0584777i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-9.91447 + 3.80581i) q^{33} +(-1.49616 - 4.60472i) q^{34} +(4.47952 - 3.86444i) q^{35} +(-0.999915 + 3.07742i) q^{36} +(0.487443 + 9.30096i) q^{37} +(4.03976 - 2.62345i) q^{38} +(-1.43930 + 1.29595i) q^{39} +(-0.0574641 - 2.23533i) q^{40} +(-8.87410 + 2.88337i) q^{41} +(-2.65441 + 6.05018i) q^{42} +(4.84614 + 4.84614i) q^{43} +(-1.72976 + 3.88510i) q^{44} +(3.78347 - 6.16743i) q^{45} +(7.76320 - 3.45640i) q^{46} +(0.835673 - 0.676715i) q^{47} +(1.13369 + 2.22498i) q^{48} +(-3.43390 + 6.09986i) q^{49} +(-1.04424 + 4.88974i) q^{50} +(-6.04523 - 10.4706i) q^{51} +(-0.0405911 + 0.774525i) q^{52} +(7.81491 + 2.99986i) q^{53} +(-0.0615478 + 0.585588i) q^{54} +(5.79262 - 7.54161i) q^{55} +(0.961562 + 2.46483i) q^{56} +(8.50541 - 8.50541i) q^{57} +(-1.20789 - 3.14666i) q^{58} +(3.59544 + 0.764235i) q^{59} +(-1.30092 - 5.43015i) q^{60} +(-1.73612 - 8.16781i) q^{61} +(-0.253982 + 0.498467i) q^{62} +(-1.73442 + 8.38357i) q^{63} +(0.951057 + 0.309017i) q^{64} +(0.493354 - 1.66261i) q^{65} +(-2.20799 + 10.3878i) q^{66} +(-2.58259 - 2.09134i) q^{67} +(-4.67671 - 1.25312i) q^{68} +(17.1678 - 12.4731i) q^{69} +(-0.801264 - 5.86157i) q^{70} +(0.714471 + 0.519094i) q^{71} +(2.03635 + 2.51468i) q^{72} +(0.328678 + 0.0172253i) q^{73} +(8.06593 + 4.65686i) q^{74} +(-0.0119458 + 12.4858i) q^{75} -4.81687i q^{76} +(-3.41878 + 10.7198i) q^{77} +(0.302977 + 1.91292i) q^{78} +(8.09904 + 0.851243i) q^{79} +(-1.90600 - 1.16925i) q^{80} +(-0.861003 - 8.19190i) q^{81} +(-2.41498 + 9.01284i) q^{82} +(1.74825 - 11.0380i) q^{83} +(3.62841 + 5.52134i) q^{84} +(9.51191 + 5.17044i) q^{85} +(6.70371 - 1.42492i) q^{86} +(-4.58408 - 7.05887i) q^{87} +(2.31623 + 3.56667i) q^{88} +(-4.40945 + 0.937257i) q^{89} +(-3.11182 - 6.53210i) q^{90} +(0.118529 + 2.04859i) q^{91} +(1.32936 - 8.39326i) q^{92} +(-0.361574 + 1.34941i) q^{93} +(-0.112401 - 1.06942i) q^{94} +(-2.51941 + 10.4720i) q^{95} +(2.48348 + 0.261024i) q^{96} +(1.46109 + 9.22498i) q^{97} +(3.24554 + 6.20214i) q^{98} +13.7611i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) \) 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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