LMFDB - Embedded newform 87.2.k.a.2.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [87,2,Mod(2,87)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("87.2"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(87, base_ring=CyclotomicField(28)) chi = DirichletCharacter(H, H._module([14, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 87 = 3 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	87.k (of order $28$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$0.694698497585$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			2.3
Character	$\chi$	$=$	87.2
Dual form			87.2.k.a.44.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.128998 + 1.14489i) q^{2} +(-1.41996 - 0.991816i) q^{3} +(0.655718 + 0.149663i) q^{4} +(1.88898 + 2.36870i) q^{5} +(1.31870 - 1.49776i) q^{6} +(-0.0467107 - 0.204653i) q^{7} +(-1.01699 + 2.90639i) q^{8} +(1.03260 + 2.81669i) q^{9} +(-2.95558 + 1.85712i) q^{10} +(-1.18041 - 3.37343i) q^{11} +(-0.782658 - 0.862869i) q^{12} +(1.48207 - 3.07756i) q^{13} +(0.240331 - 0.0270788i) q^{14} +(-0.332963 - 5.23699i) q^{15} +(-1.98436 - 0.955617i) q^{16} +(-2.49052 - 2.49052i) q^{17} +(-3.35801 + 0.818868i) q^{18} +(0.890780 + 1.41767i) q^{19} +(0.884129 + 1.83591i) q^{20} +(-0.136651 + 0.336929i) q^{21} +(4.01448 - 0.916279i) q^{22} +(-4.98279 - 3.97364i) q^{23} +(4.32669 - 3.11830i) q^{24} +(-0.929911 + 4.07421i) q^{25} +(3.33229 + 2.09382i) q^{26} +(1.32738 - 5.02375i) q^{27} -0.141186i q^{28} +(5.23971 + 1.24315i) q^{29} +(6.03874 + 0.294356i) q^{30} +(-1.35980 - 0.153213i) q^{31} +(-1.92639 + 3.06583i) q^{32} +(-1.66967 + 5.96090i) q^{33} +(3.17265 - 2.53010i) q^{34} +(0.396526 - 0.497228i) q^{35} +(0.255540 + 2.00150i) q^{36} +(-10.1328 - 3.54562i) q^{37} +(-1.73799 + 0.836970i) q^{38} +(-5.15687 + 2.90008i) q^{39} +(-8.80543 + 3.08115i) q^{40} +(0.790755 - 0.790755i) q^{41} +(-0.368119 - 0.199913i) q^{42} +(1.16988 + 10.3830i) q^{43} +(-0.269140 - 2.38868i) q^{44} +(-4.72134 + 7.76658i) q^{45} +(5.19217 - 5.19217i) q^{46} +(11.6801 - 4.08706i) q^{47} +(1.86992 + 3.32506i) q^{48} +(6.26708 - 3.01807i) q^{49} +(-4.54457 - 1.59021i) q^{50} +(1.06631 + 6.00659i) q^{51} +(1.43242 - 1.79620i) q^{52} +(-7.14433 + 5.69741i) q^{53} +(5.58042 + 2.16776i) q^{54} +(5.76087 - 9.16837i) q^{55} +(0.642305 + 0.0723704i) q^{56} +(0.141190 - 2.89653i) q^{57} +(-2.09919 + 5.83854i) q^{58} +0.0269662i q^{59} +(0.565456 - 3.48382i) q^{60} +(4.60945 + 2.89631i) q^{61} +(0.350825 - 1.53707i) q^{62} +(0.528210 - 0.342894i) q^{63} +(-6.70546 - 5.34743i) q^{64} +(10.0894 - 2.30285i) q^{65} +(-6.60920 - 2.68054i) q^{66} +(1.93035 + 4.00841i) q^{67} +(-1.26034 - 2.00582i) q^{68} +(3.13427 + 10.5845i) q^{69} +(0.518122 + 0.518122i) q^{70} +(-7.50627 - 3.61483i) q^{71} +(-9.23653 + 0.136596i) q^{72} +(2.69501 - 0.303655i) q^{73} +(5.36646 - 11.1436i) q^{74} +(5.36131 - 4.86293i) q^{75} +(0.371928 + 1.06291i) q^{76} +(-0.635244 + 0.399150i) q^{77} +(-2.65505 - 6.27816i) q^{78} +(-2.42181 + 6.92112i) q^{79} +(-1.48484 - 6.50549i) q^{80} +(-6.86747 + 5.81703i) q^{81} +(0.803323 + 1.00734i) q^{82} +(-1.09179 - 0.249194i) q^{83} +(-0.140030 + 0.200479i) q^{84} +(1.19476 - 10.6038i) q^{85} -12.0383 q^{86} +(-6.20723 - 6.96206i) q^{87} +11.0049 q^{88} +(0.773147 - 6.86187i) q^{89} +(-8.28286 - 6.40730i) q^{90} +(-0.699061 - 0.159556i) q^{91} +(-2.67260 - 3.35133i) q^{92} +(1.77892 + 1.56623i) q^{93} +(3.17252 + 13.8997i) q^{94} +(-1.67537 + 4.78793i) q^{95} +(5.77614 - 2.44274i) q^{96} +(-6.84115 + 4.29858i) q^{97} +(2.64692 + 7.56446i) q^{98} +(8.28299 - 6.80826i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{3} - 28 q^{4} - 14 q^{6} - 20 q^{7} - 14 q^{9} - 4 q^{10} - 8 q^{12} - 28 q^{13} - 16 q^{15} - 48 q^{16} - 28 q^{18} - 20 q^{19} + 26 q^{21} - 28 q^{22} + 58 q^{24} - 20 q^{25} + 36 q^{27}+ \cdots + 82 q^{99}+O(q^{100}) $ 96 * q - 12 * q^3 - 28 * q^4 - 14 * q^6 - 20 * q^7 - 14 * q^9 - 4 * q^10 - 8 * q^12 - 28 * q^13 - 16 * q^15 - 48 * q^16 - 28 * q^18 - 20 * q^19 + 26 * q^21 - 28 * q^22 + 58 * q^24 - 20 * q^25 + 36 * q^27 + 96 * q^30 - 32 * q^31 + 28 * q^33 - 28 * q^34 + 22 * q^36 - 4 * q^37 - 40 * q^39 - 48 * q^40 - 14 * q^42 - 32 * q^43 + 42 * q^45 + 120 * q^46 - 20 * q^48 + 4 * q^49 - 14 * q^51 + 72 * q^52 - 30 * q^54 + 148 * q^55 + 112 * q^58 + 20 * q^60 + 12 * q^61 - 14 * q^63 + 224 * q^64 - 32 * q^66 + 28 * q^67 + 10 * q^69 + 52 * q^70 - 44 * q^72 + 16 * q^73 - 144 * q^75 - 100 * q^76 - 102 * q^78 - 60 * q^79 - 146 * q^81 - 108 * q^82 - 64 * q^84 - 104 * q^85 - 70 * q^87 - 312 * q^88 - 96 * q^90 - 112 * q^91 - 70 * q^93 + 56 * q^94 - 168 * q^96 + 32 * q^97 + 82 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/87\mathbb{Z}\right)^\times$.

$n$	$31$	$59$
$\chi(n)$	$e\left(\frac{1}{28}\right)$	$-1$

Coefficient data

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

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

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

$2$	−0.128998	+	1.14489i	−0.0912156	+	0.809561i	0.861925	+	0.507035i	$0.169259\pi$
$2$	−0.128998	+	1.14489i	−0.0912156	+	0.809561i	−0.953141	+	0.302526i	$0.902170\pi$
$3$	−1.41996	−	0.991816i	−0.819817	−	0.572625i
$3$	−1.41996	−	0.991816i	−0.819817	−	0.572625i
$4$	0.655718	+	0.149663i	0.327859	+	0.0748317i
$5$	1.88898	+	2.36870i	0.844776	+	1.05932i	0.997473	+	0.0710427i	$0.0226327\pi$
$5$	1.88898	+	2.36870i	0.844776	+	1.05932i	−0.152697	+	0.988273i	$0.548796\pi$
$6$	1.31870	−	1.49776i	0.538355	−	0.611460i
$7$	−0.0467107	−	0.204653i	−0.0176550	−	0.0773516i	0.965333	−	0.261022i	$-0.0840594\pi$
$7$	−0.0467107	−	0.204653i	−0.0176550	−	0.0773516i	−0.982988	+	0.183670i	$0.941202\pi$
$8$	−1.01699	+	2.90639i	−0.359560	+	1.02756i
$9$	1.03260	+	2.81669i	0.344200	+	0.938896i
$10$	−2.95558	+	1.85712i	−0.934637	+	0.587272i
$11$	−1.18041	−	3.37343i	−0.355908	−	1.01713i	−0.973114	−	0.230324i	$-0.926021\pi$
$11$	−1.18041	−	3.37343i	−0.355908	−	1.01713i	0.617206	−	0.786801i	$-0.288264\pi$
$12$	−0.782658	−	0.862869i	−0.225934	−	0.249089i
$13$	1.48207	−	3.07756i	0.411054	−	0.853562i	−0.587948	−	0.808898i	$-0.700064\pi$
$13$	1.48207	−	3.07756i	0.411054	−	0.853562i	0.999002	−	0.0446632i	$-0.0142215\pi$
$14$	0.240331	−	0.0270788i	0.0642312	−	0.00723712i
$15$	−0.332963	−	5.23699i	−0.0859708	−	1.35219i
$16$	−1.98436	−	0.955617i	−0.496090	−	0.238904i
$17$	−2.49052	−	2.49052i	−0.604039	−	0.604039i	0.337343	−	0.941382i	$-0.390472\pi$
$17$	−2.49052	−	2.49052i	−0.604039	−	0.604039i	−0.941382	+	0.337343i	$0.890472\pi$
$18$	−3.35801	+	0.818868i	−0.791490	+	0.193009i
$19$	0.890780	+	1.41767i	0.204359	+	0.325235i	0.933141	−	0.359510i	$-0.117056\pi$
$19$	0.890780	+	1.41767i	0.204359	+	0.325235i	−0.728782	+	0.684746i	$0.759913\pi$
$20$	0.884129	+	1.83591i	0.197697	+	0.410522i
$21$	−0.136651	+	0.336929i	−0.0298196	+	0.0735238i
$22$	4.01448	−	0.916279i	0.855890	−	0.195351i
$23$	−4.98279	−	3.97364i	−1.03898	−	0.828562i	−0.0535407	−	0.998566i	$-0.517051\pi$
$23$	−4.98279	−	3.97364i	−1.03898	−	0.828562i	−0.985443	+	0.170003i	$0.945622\pi$
$24$	4.32669	−	3.11830i	0.883182	−	0.636520i
$25$	−0.929911	+	4.07421i	−0.185982	+	0.814841i
$26$	3.33229	+	2.09382i	0.653516	+	0.410631i
$27$	1.32738	−	5.02375i	0.255455	−	0.966821i
$28$		−	0.141186i		−	0.0266816i
$29$	5.23971	+	1.24315i	0.972990	+	0.230847i
$29$	5.23971	+	1.24315i	0.972990	+	0.230847i
$30$	6.03874	+	0.294356i	1.10252	+	0.0537418i
$31$	−1.35980	−	0.153213i	−0.244228	−	0.0275179i	−0.0109982	−	0.999940i	$-0.503501\pi$
$31$	−1.35980	−	0.153213i	−0.244228	−	0.0275179i	−0.233230	+	0.972422i	$0.574929\pi$
$32$	−1.92639	+	3.06583i	−0.340540	+	0.541967i
$33$	−1.66967	+	5.96090i	−0.290653	+	1.03766i
$34$	3.17265	−	2.53010i	0.544105	−	0.433909i
$35$	0.396526	−	0.497228i	0.0670252	−	0.0840470i
$36$	0.255540	+	2.00150i	0.0425900	+	0.333583i
$37$	−10.1328	−	3.54562i	−1.66582	−	0.582896i	−0.677533	−	0.735493i	$-0.736951\pi$
$37$	−10.1328	−	3.54562i	−1.66582	−	0.582896i	−0.988289	+	0.152597i	$0.951236\pi$
$38$	−1.73799	+	0.836970i	−0.281939	+	0.135774i
$39$	−5.15687	+	2.90008i	−0.825760	+	0.464385i
$40$	−8.80543	+	3.08115i	−1.39226	+	0.487173i
$41$	0.790755	−	0.790755i	0.123495	−	0.123495i	−0.642658	−	0.766153i	$-0.722168\pi$
$41$	0.790755	−	0.790755i	0.123495	−	0.123495i	0.766153	+	0.642658i	$0.222168\pi$
$42$	−0.368119	−	0.199913i	−0.0568020	−	0.0308473i
$43$	1.16988	+	10.3830i	0.178405	+	1.58339i	0.689771	+	0.724028i	$0.257711\pi$
$43$	1.16988	+	10.3830i	0.178405	+	1.58339i	−0.511366	+	0.859363i	$0.670860\pi$
$44$	−0.269140	−	2.38868i	−0.0405743	−	0.360107i
$45$	−4.72134	+	7.76658i	−0.703815	+	1.15777i
$46$	5.19217	−	5.19217i	0.765543	−	0.765543i
$47$	11.6801	−	4.08706i	1.70372	−	0.596158i	0.709618	−	0.704586i	$-0.248867\pi$
$47$	11.6801	−	4.08706i	1.70372	−	0.596158i	0.994104	+	0.108428i	$0.0345817\pi$
$48$	1.86992	+	3.32506i	0.269900	+	0.479931i
$49$	6.26708	−	3.01807i	0.895297	−	0.431152i
$50$	−4.54457	−	1.59021i	−0.642699	−	0.224890i
$51$	1.06631	+	6.00659i	0.149314	+	0.841090i
$52$	1.43242	−	1.79620i	0.198641	−	0.249088i
$53$	−7.14433	+	5.69741i	−0.981349	+	0.782599i	−0.976086	−	0.217387i	$-0.930247\pi$
$53$	−7.14433	+	5.69741i	−0.981349	+	0.782599i	−0.00526300	+	0.999986i	$0.501675\pi$
$54$	5.58042	+	2.16776i	0.759399	+	0.294995i
$55$	5.76087	−	9.16837i	0.776795	−	1.23626i
$56$	0.642305	+	0.0723704i	0.0858316	+	0.00967090i
$57$	0.141190	−	2.89653i	0.0187011	−	0.383655i
$58$	−2.09919	+	5.83854i	−0.275637	+	0.766638i
$59$			0.0269662i			0.00351070i	0.999998	+	0.00175535i	$0.000558746\pi$
$59$			0.0269662i			0.00351070i	−0.999998	+	0.00175535i	$0.999441\pi$
$60$	0.565456	−	3.48382i	0.0730000	−	0.449760i
$61$	4.60945	+	2.89631i	0.590179	+	0.370834i	0.793766	−	0.608223i	$-0.208117\pi$
$61$	4.60945	+	2.89631i	0.590179	+	0.370834i	−0.203587	+	0.979057i	$0.565260\pi$
$62$	0.350825	−	1.53707i	0.0445548	−	0.195208i
$63$	0.528210	−	0.342894i	0.0665482	−	0.0432006i
$64$	−6.70546	−	5.34743i	−0.838183	−	0.668429i
$65$	10.0894	−	2.30285i	1.25144	−	0.285633i
$66$	−6.60920	−	2.68054i	−0.813536	−	0.329952i
$67$	1.93035	+	4.00841i	0.235830	+	0.489705i	0.984974	−	0.172701i	$-0.0552495\pi$
$67$	1.93035	+	4.00841i	0.235830	+	0.489705i	−0.749145	+	0.662406i	$0.769535\pi$
$68$	−1.26034	−	2.00582i	−0.152839	−	0.243241i
$69$	3.13427	+	10.5845i	0.377321	+	1.27422i
$70$	0.518122	+	0.518122i	0.0619274	+	0.0619274i
$71$	−7.50627	−	3.61483i	−0.890831	−	0.429002i	−0.0682623	−	0.997667i	$-0.521745\pi$
$71$	−7.50627	−	3.61483i	−0.890831	−	0.429002i	−0.822569	+	0.568666i	$0.807460\pi$
$72$	−9.23653	+	0.136596i	−1.08854	+	0.0160980i
$73$	2.69501	−	0.303655i	0.315427	−	0.0355401i	0.0471684	−	0.998887i	$-0.484980\pi$
$73$	2.69501	−	0.303655i	0.315427	−	0.0355401i	0.268259	+	0.963347i	$0.413552\pi$
$74$	5.36646	−	11.1436i	0.623839	−	1.29541i
$75$	5.36131	−	4.86293i	0.619070	−	0.561523i
$76$	0.371928	+	1.06291i	0.0426630	+	0.121924i
$77$	−0.635244	+	0.399150i	−0.0723927	+	0.0454874i
$78$	−2.65505	−	6.27816i	−0.300626	−	0.710862i
$79$	−2.42181	+	6.92112i	−0.272474	+	0.778687i	0.723604	+	0.690215i	$0.242484\pi$
$79$	−2.42181	+	6.92112i	−0.272474	+	0.778687i	−0.996079	+	0.0884720i	$0.971802\pi$
$80$	−1.48484	−	6.50549i	−0.166010	−	0.727336i
$81$	−6.86747	+	5.81703i	−0.763052	+	0.646337i
$82$	0.803323	+	1.00734i	0.0887122	+	0.111242i
$83$	−1.09179	−	0.249194i	−0.119839	−	0.0273526i	0.162181	−	0.986761i	$-0.448147\pi$
$83$	−1.09179	−	0.249194i	−0.119839	−	0.0273526i	−0.282020	+	0.959409i	$0.591004\pi$
$84$	−0.140030	+	0.200479i	−0.0152785	+	0.0218740i
$85$	1.19476	−	10.6038i	0.129590	−	1.15015i
$86$	−12.0383			−1.29812
$87$	−6.20723	−	6.96206i	−0.665485	−	0.746411i
$88$	11.0049			1.17313
$89$	0.773147	−	6.86187i	0.0819534	−	0.727357i	−0.883795	−	0.467875i	$-0.845020\pi$
$89$	0.773147	−	6.86187i	0.0819534	−	0.727357i	0.965748	−	0.259482i	$-0.0835517\pi$
$90$	−8.28286	−	6.40730i	−0.873090	−	0.675389i
$91$	−0.699061	−	0.159556i	−0.0732815	−	0.0167260i
$92$	−2.67260	−	3.35133i	−0.278638	−	0.349401i
$93$	1.77892	+	1.56623i	0.184465	+	0.162411i
$94$	3.17252	+	13.8997i	0.327220	+	1.43365i
$95$	−1.67537	+	4.78793i	−0.171889	+	0.491232i
$96$	5.77614	−	2.44274i	0.589525	−	0.249312i
$97$	−6.84115	+	4.29858i	−0.694613	+	0.436455i	−0.832523	−	0.553990i	$-0.813104\pi$
$97$	−6.84115	+	4.29858i	−0.694613	+	0.436455i	0.137910	+	0.990445i	$0.455962\pi$
$98$	2.64692	+	7.56446i	0.267379	+	0.764126i
$99$	8.28299	−	6.80826i	0.832472	−	0.684255i
$100$	−1.21952	+	2.53236i	−0.121952	+	0.253236i
$101$	−7.28220	+	0.820506i	−0.724606	+	0.0816434i	−0.466560	−	0.884489i	$-0.654507\pi$
$101$	−7.28220	+	0.820506i	−0.724606	+	0.0816434i	−0.258045	+	0.966133i	$0.583078\pi$
$102$	−7.01444	+	0.445972i	−0.694534	+	0.0441579i
$103$	−10.4187	−	5.01739i	−1.02659	−	0.494379i	−0.156709	−	0.987645i	$-0.550089\pi$
$103$	−10.4187	−	5.01739i	−1.02659	−	0.494379i	−0.869878	+	0.493266i	$0.835803\pi$
$104$	7.43732	+	7.43732i	0.729290	+	0.729290i
$105$	−1.05621	+	0.312766i	−0.103076	+	0.0305228i
$106$	−5.60131	−	8.91444i	−0.544048	−	0.865847i
$107$	6.31935	+	13.1223i	0.610914	+	1.26858i	0.945319	+	0.326147i	$0.105751\pi$
$107$	6.31935	+	13.1223i	0.610914	+	1.26858i	−0.334405	+	0.942430i	$0.608535\pi$
$108$	1.62226	−	3.09550i	0.156102	−	0.297865i
$109$	−8.86789	+	2.02404i	−0.849390	+	0.193868i	−0.624993	−	0.780630i	$-0.714898\pi$
$109$	−8.86789	+	2.02404i	−0.849390	+	0.193868i	−0.224397	+	0.974498i	$0.572041\pi$
$110$	9.75365	+	7.77828i	0.929974	+	0.741629i
$111$	10.8716	+	15.0845i	1.03189	+	1.43176i
$112$	−0.102879	+	0.450742i	−0.00972115	+	0.0425912i
$113$	−4.15295	−	2.60947i	−0.390677	−	0.245478i	0.322342	−	0.946623i	$-0.395530\pi$
$113$	−4.15295	−	2.60947i	−0.390677	−	0.245478i	−0.713019	+	0.701145i	$0.752673\pi$
$114$	3.29800	+	0.535295i	0.308886	+	0.0501350i
$115$		−	19.3089i		−	1.80056i
$116$	3.24972	+	1.59935i	0.301729	+	0.148496i
$117$	10.1989	+	0.996653i	0.942891	+	0.0921406i
$118$	−0.0308734	−	0.00347860i	−0.00284213	−	0.000320231i
$119$	−0.393358	+	0.626026i	−0.0360591	+	0.0573877i
$120$	15.5593	+	4.35824i	1.42037	+	0.397851i
$121$	−1.38648	+	1.10568i	−0.126043	+	0.100516i
$122$	−3.91057	+	4.90370i	−0.354046	+	0.443960i
$123$	−1.90713	+	0.338561i	−0.171960	+	0.0305270i
$124$	−0.868719	−	0.303978i	−0.0780132	−	0.0272980i
$125$	2.24109	−	1.07925i	0.200449	−	0.0965313i
$126$	0.324439	+	0.648977i	0.0289033	+	0.0578154i
$127$	5.08938	−	1.78085i	0.451610	−	0.158025i	−0.0948839	−	0.995488i	$-0.530248\pi$
$127$	5.08938	−	1.78085i	0.451610	−	0.158025i	0.546494	+	0.837463i	$0.315962\pi$
$128$	1.86663	−	1.86663i	0.164988	−	0.164988i
$129$	8.63683	−	15.9038i	0.760430	−	1.40025i
$130$	1.33499	+	11.8484i	0.117086	+	1.03917i
$131$	1.37361	+	12.1911i	0.120013	+	1.06515i	0.898953	+	0.438046i	$0.144329\pi$
$131$	1.37361	+	12.1911i	0.120013	+	1.06515i	−0.778940	+	0.627099i	$0.784242\pi$
$132$	−1.98696	+	3.65878i	−0.172943	+	0.318456i
$133$	0.248521	−	0.248521i	0.0215495	−	0.0215495i
$134$	−4.83821	+	1.69296i	−0.417958	+	0.146250i
$135$	14.4072	−	6.34558i	1.23997	−	0.546140i
$136$	9.77123	−	4.70558i	0.837876	−	0.403500i
$137$	13.4396	+	4.70273i	1.14822	+	0.401781i	0.836271	−	0.548317i	$-0.184731\pi$
$137$	13.4396	+	4.70273i	1.14822	+	0.401781i	0.311953	+	0.950098i	$0.399017\pi$
$138$	−12.5224	+	2.22302i	−1.06598	+	0.189236i
$139$	−6.36662	+	7.98348i	−0.540009	+	0.677150i	−0.974723	−	0.223419i	$-0.928278\pi$
$139$	−6.36662	+	7.98348i	−0.540009	+	0.677150i	0.434713	+	0.900569i	$0.356850\pi$
$140$	0.334427	−	0.266696i	0.0282642	−	0.0225400i
$141$	−20.6390	−	5.78107i	−1.73812	−	0.486854i
$142$	5.10689	−	8.12757i	0.428561	−	0.682050i
$143$	−12.1314	−	1.36688i	−1.01448	−	0.114304i
$144$	0.642625	−	6.57609i	0.0535521	−	0.548008i
$145$	6.95304	+	14.7596i	0.577419	+	1.22572i
$146$			3.12467i			0.258600i
$147$	−11.8924	−	1.93024i	−0.980869	−	0.159204i
$148$	−6.11361	−	3.84144i	−0.502536	−	0.315764i
$149$	−1.49410	+	6.54606i	−0.122401	+	0.536274i	0.876129	+	0.482077i	$0.160117\pi$
$149$	−1.49410	+	6.54606i	−0.122401	+	0.536274i	−0.998530	+	0.0541979i	$0.982740\pi$
$150$	4.87593	+	6.76543i	0.398118	+	0.552395i
$151$	−4.98736	−	3.97728i	−0.405865	−	0.323667i	0.399188	−	0.916869i	$-0.369292\pi$
$151$	−4.98736	−	3.97728i	−0.405865	−	0.323667i	−0.805053	+	0.593202i	$0.797863\pi$
$152$	−5.02620	+	1.14720i	−0.407679	+	0.0930501i
$153$	4.44330	−	9.58673i	0.359220	−	0.775041i
$154$	−0.375038	−	0.778775i	−0.0302215	−	0.0627555i
$155$	−2.20572	−	3.51039i	−0.177168	−	0.281961i
$156$	−3.81549	+	1.12984i	−0.305484	+	0.0904598i
$157$	11.5526	+	11.5526i	0.922001	+	0.922001i	0.997171	−	0.0751693i	$-0.0239497\pi$
$157$	11.5526	+	11.5526i	0.922001	+	0.922001i	−0.0751693	+	0.997171i	$0.523950\pi$
$158$	−7.61153	−	3.66552i	−0.605541	−	0.291613i
$159$	15.7955	−	1.00426i	1.25266	−	0.0796432i
$160$	−10.9009	+	1.22824i	−0.861794	+	0.0971009i
$161$	−0.580469	+	1.20536i	−0.0457473	+	0.0949953i
$162$	−5.77398	−	8.61290i	−0.453647	−	0.676693i
$163$	−3.88151	−	11.0927i	−0.304024	−	0.868850i	−0.989980	−	0.141207i	$-0.954902\pi$
$163$	−3.88151	−	11.0927i	−0.304024	−	0.868850i	0.685956	−	0.727643i	$-0.259384\pi$
$164$	0.636860	−	0.400165i	0.0497304	−	0.0312477i
$165$	−17.2736	+	7.30504i	−1.34475	+	0.568696i
$166$	0.426139	−	1.21783i	0.0330748	−	0.0945223i
$167$	0.545222	+	2.38877i	0.0421906	+	0.184849i	0.991632	−	0.129094i	$-0.0412070\pi$
$167$	0.545222	+	2.38877i	0.0421906	+	0.184849i	−0.949442	+	0.313943i	$0.898350\pi$
$168$	−0.840272	−	0.739812i	−0.0648284	−	0.0570777i
$169$	0.830537	+	1.04146i	0.0638875	+	0.0801123i
$170$	11.9861	+	2.73575i	0.919293	+	0.209823i
$171$	−3.07331	+	3.97294i	−0.235022	+	0.303818i
$172$	−0.786841	+	6.98340i	−0.0599960	+	0.532480i
$173$	9.88473			0.751522			0.375761	−	0.926717i	$-0.377381\pi$
$173$	9.88473			0.751522			0.375761	+	0.926717i	$0.377381\pi$
$174$	8.77153	−	6.20851i	0.664968	−	0.470666i
$175$	0.877235			0.0663128
$176$	−0.881340	+	7.82211i	−0.0664335	+	0.589613i
$177$	0.0267455	−	0.0382911i	0.00201032	−	0.00287813i
$178$	7.75637	+	1.77034i	0.581364	+	0.132693i
$179$	−3.92735	−	4.92474i	−0.293544	−	0.368092i	0.613088	−	0.790014i	$-0.289927\pi$
$179$	−3.92735	−	4.92474i	−0.293544	−	0.368092i	−0.906632	+	0.421922i	$0.861356\pi$
$180$	−4.25824	+	4.38608i	−0.317391	+	0.326919i
$181$	2.00491	+	8.78408i	0.149024	+	0.652916i	0.993157	+	0.116783i	$0.0372582\pi$
$181$	2.00491	+	8.78408i	0.149024	+	0.652916i	−0.844134	+	0.536133i	$0.819885\pi$
$182$	0.272852	−	0.779767i	0.0202251	−	0.0578001i
$183$	−3.67265	−	8.68438i	−0.271490	−	0.641968i
$184$	16.6164	−	10.4408i	1.22498	−	0.769704i
$185$	−10.7421	−	30.6992i	−0.789775	−	2.25705i
$186$	−2.02265	+	1.83463i	−0.148308	+	0.134521i
$187$	−5.46174	+	11.3414i	−0.399402	+	0.829366i
$188$	8.27056	−	0.931868i	0.603193	−	0.0679635i
$189$	−1.09013	−	0.0369896i	−0.0792952	−	0.00269060i
$190$	−5.26555	−	2.53575i	−0.382003	−	0.183963i
$191$	0.780952	+	0.780952i	0.0565077	+	0.0565077i	0.734796	−	0.678288i	$-0.237278\pi$
$191$	0.780952	+	0.780952i	0.0565077	+	0.0565077i	−0.678288	+	0.734796i	$0.737278\pi$
$192$	4.21786	+	14.2437i	0.304398	+	1.02795i
$193$	−8.75550	−	13.9343i	−0.630235	−	1.00301i	−0.997344	−	0.0728350i	$-0.976795\pi$
$193$	−8.75550	−	13.9343i	−0.630235	−	1.00301i	0.367109	−	0.930178i	$-0.380347\pi$
$194$	−4.03891	−	8.38689i	−0.289977	−	0.602143i
$195$	−16.6106	−	6.73690i	−1.18951	−	0.482439i
$196$	4.56113	−	1.04105i	0.325795	−	0.0743607i
$197$	1.50373	+	1.19918i	0.107136	+	0.0854383i	0.675593	−	0.737275i	$-0.263888\pi$
$197$	1.50373	+	1.19918i	0.107136	+	0.0854383i	−0.568456	+	0.822713i	$0.692459\pi$
$198$	6.72623	+	10.3614i	0.478012	+	0.736352i
$199$	0.430219	−	1.88491i	0.0304974	−	0.133618i	−0.957387	−	0.288807i	$-0.906741\pi$
$199$	0.430219	−	1.88491i	0.0304974	−	0.133618i	0.987885	+	0.155189i	$0.0495986\pi$
$200$	−10.8955	−	6.84610i	−0.770429	−	0.484092i
$201$	1.23458	−	7.60635i	0.0870805	−	0.536511i
$202$		−	8.44317i		−	0.594060i
$203$	0.00966376	−	1.13039i	0.000678263	−	0.0793379i
$204$	−0.199766	+	4.09822i	−0.0139864	+	0.286933i
$205$	3.36678	+	0.379345i	0.235146	+	0.0264946i
$206$	7.08837	−	11.2811i	0.493870	−	0.785990i
$207$	6.04729	−	18.1382i	0.420315	−	1.26069i
$208$	−5.88193	+	4.69069i	−0.407839	+	0.325241i
$209$	3.73091	−	4.67841i	0.258072	−	0.323613i
$210$	−0.221833	−	1.24960i	−0.0153079	−	0.0862303i
$211$	−2.69340	−	0.942460i	−0.185421	−	0.0648816i	0.235971	−	0.971760i	$-0.424173\pi$
$211$	−2.69340	−	0.942460i	−0.185421	−	0.0648816i	−0.421393	+	0.906878i	$0.638459\pi$
$212$	−5.53736	+	2.66665i	−0.380307	+	0.183146i
$213$	7.07340	+	12.5778i	0.484661	+	0.861815i
$214$	−15.8388	+	5.54222i	−1.08272	+	0.378858i
$215$	−22.3843	+	22.3843i	−1.52660	+	1.52660i
$216$	13.2510	+	8.96698i	0.901618	+	0.610125i
$217$	0.0321619	+	0.285445i	0.00218329	+	0.0193773i
$218$	−1.17336	−	10.4139i	−0.0794701	−	0.705317i
$219$	−4.12799	−	2.24178i	−0.278944	−	0.151485i
$220$	5.14968	−	5.14968i	0.347191	−	0.347191i
$221$	−11.3559	+	3.97359i	−0.763877	+	0.267292i
$222$	−18.6726	+	10.5009i	−1.25322	+	0.704777i
$223$	9.81493	−	4.72662i	0.657256	−	0.316518i	−0.0753635	−	0.997156i	$-0.524012\pi$
$223$	9.81493	−	4.72662i	0.657256	−	0.316518i	0.732620	+	0.680638i	$0.238297\pi$
$224$	0.717414	+	0.251034i	0.0479342	+	0.0167729i
$225$	−12.4360	+	1.58776i	−0.829066	+	0.105851i
$226$	3.52329	−	4.41806i	0.234366	−	0.293885i
$227$	15.9139	−	12.6909i	1.05625	−	0.842328i	0.0683830	−	0.997659i	$-0.478216\pi$
$227$	15.9139	−	12.6909i	1.05625	−	0.842328i	0.987862	+	0.155332i	$0.0496446\pi$
$228$	0.526086	−	1.87818i	0.0348409	−	0.124385i
$229$	13.0716	−	20.8033i	0.863794	−	1.37472i	−0.0625495	−	0.998042i	$-0.519923\pi$
$229$	13.0716	−	20.8033i	0.863794	−	1.37472i	0.926344	−	0.376679i	$-0.122934\pi$
$230$	22.1066	+	2.49081i	1.45766	+	0.164239i
$231$	1.29791	+	0.0632660i	0.0853960	+	0.00416260i
$232$	−8.94180	+	13.9644i	−0.587058	+	0.916805i
$233$		−	13.6487i		−	0.894153i	−0.894496	−	0.447076i	$-0.852465\pi$
$233$		−	13.6487i		−	0.894153i	0.894496	−	0.447076i	$-0.147535\pi$
$234$	−2.45670	+	11.5481i	−0.160600	+	0.754923i
$235$	31.7445	+	19.9464i	2.07078	+	1.30116i
$236$	−0.00403586	+	0.0176822i	−0.000262712	+	0.00115102i
$237$	10.3034	−	7.42576i	0.669275	−	0.482355i
$238$	−0.665990	−	0.531109i	−0.0431697	−	0.0344267i
$239$	−9.60385	+	2.19202i	−0.621221	+	0.141790i	−0.521536	−	0.853229i	$-0.674641\pi$
$239$	−9.60385	+	2.19202i	−0.621221	+	0.141790i	−0.0996853	+	0.995019i	$0.531784\pi$
$240$	−4.34384	+	10.7103i	−0.280393	+	0.691344i
$241$	−4.86861	−	10.1098i	−0.313615	−	0.651228i	0.683264	−	0.730171i	$-0.260560\pi$
$241$	−4.86861	−	10.1098i	−0.313615	−	0.651228i	−0.996879	+	0.0789432i	$0.974845\pi$
$242$	−1.08703	−	1.73000i	−0.0698769	−	0.111208i
$243$	15.5210	−	1.44871i	0.995672	−	0.0929347i
$244$	2.58903	+	2.58903i	0.165745	+	0.165745i
$245$	18.9873	+	9.14379i	1.21305	+	0.584175i
$246$	−0.141599	−	2.22713i	−0.00902802	−	0.141997i
$247$	5.68316	−	0.640339i	0.361611	−	0.0407438i
$248$	1.82820	−	3.79630i	0.116091	−	0.241065i
$249$	1.30315	+	1.43670i	0.0825836	+	0.0910472i
$250$	0.946531	+	2.70503i	0.0598639	+	0.171081i
$251$	−11.1029	+	6.97644i	−0.700811	+	0.440349i	−0.834742	−	0.550642i	$-0.814383\pi$
$251$	−11.1029	+	6.97644i	−0.700811	+	0.440349i	0.133930	+	0.990991i	$0.457240\pi$
$252$	0.397676	−	0.145788i	0.0250512	−	0.00918380i
$253$	−7.52304	+	21.4996i	−0.472970	+	1.35167i
$254$	1.38236	+	6.05652i	0.0867371	+	0.380020i
$255$	−12.2136	+	13.8721i	−0.764844	+	0.868703i
$256$	−8.79856	−	11.0331i	−0.549910	−	0.689566i
$257$	18.5315	+	4.22969i	1.15596	+	0.263841i	0.757181	−	0.653205i	$-0.226576\pi$
$257$	18.5315	+	4.22969i	1.15596	+	0.263841i	0.398782	+	0.917046i	$0.369433\pi$
$258$	17.0940	+	11.9398i	1.06422	+	0.743339i
$259$	−0.252311	+	2.23933i	−0.0156779	+	0.139145i
$260$	6.96047			0.431670
$261$	1.90896	+	16.0423i	0.118162	+	0.992994i
$262$	−14.1347			−0.873247
$263$	−2.22186	+	19.7195i	−0.137006	+	1.21596i	0.717516	+	0.696542i	$0.245279\pi$
$263$	−2.22186	+	19.7195i	−0.137006	+	1.21596i	−0.854522	+	0.519416i	$0.826150\pi$
$264$	−15.6266	−	10.9149i	−0.961752	−	0.671764i
$265$	−26.9909	−	6.16050i	−1.65804	−	0.378437i
$266$	0.252471	+	0.316589i	0.0154800	+	0.0194113i
$267$	−7.90356	+	8.97680i	−0.483690	+	0.549371i
$268$	0.665853	+	2.91729i	0.0406734	+	0.178202i
$269$	4.92428	−	14.0728i	0.300238	−	0.858032i	−0.690631	−	0.723207i	$-0.742667\pi$
$269$	4.92428	−	14.0728i	0.300238	−	0.858032i	0.990869	−	0.134825i	$-0.0430472\pi$
$270$	5.40650	+	17.3132i	0.329029	+	1.05365i
$271$	−8.63110	+	5.42328i	−0.524302	+	0.329441i	−0.768042	−	0.640400i	$-0.778769\pi$
$271$	−8.63110	+	5.42328i	−0.524302	+	0.329441i	0.243740	+	0.969841i	$0.421626\pi$
$272$	2.56210	+	7.32206i	0.155350	+	0.443965i
$273$	0.834391	+	0.919904i	0.0504997	+	0.0556751i
$274$	−7.11780	+	14.7803i	−0.430002	+	0.892909i
$275$	14.8417	−	1.67226i	0.894989	−	0.100841i
$276$	0.471090	+	7.40950i	0.0283563	+	0.446000i
$277$	7.79626	+	3.75448i	0.468432	+	0.225585i	0.653183	−	0.757201i	$-0.273433\pi$
$277$	7.79626	+	3.75448i	0.468432	+	0.225585i	−0.184751	+	0.982785i	$0.559148\pi$
$278$	−8.31894	−	8.31894i	−0.498937	−	0.498937i
$279$	−0.972582	−	3.98836i	−0.0582269	−	0.238777i
$280$	1.04187	+	1.65813i	0.0622639	+	0.0990925i
$281$	−11.1644	−	23.1832i	−0.666013	−	1.38299i	−0.910570	−	0.413356i	$-0.864357\pi$
$281$	−11.1644	−	23.1832i	−0.666013	−	1.38299i	0.244556	−	0.969635i	$-0.421358\pi$
$282$	9.28110	−	22.8837i	0.552681	−	1.36270i
$283$	4.71760	−	1.07676i	0.280432	−	0.0640068i	−0.0799915	−	0.996796i	$-0.525489\pi$
$283$	4.71760	−	1.07676i	0.280432	−	0.0640068i	0.360424	+	0.932789i	$0.382632\pi$
$284$	−4.38099	−	3.49373i	−0.259964	−	0.207314i
$285$	7.12772	−	5.13704i	0.422210	−	0.304292i
$286$	3.12986	−	13.7128i	0.185072	−	0.810855i
$287$	−0.198767	−	0.124894i	−0.0117329	−	0.00737224i
$288$	−10.6247	−	2.26026i	−0.626065	−	0.133187i
$289$		−	4.59464i		−	0.270273i
$290$	−17.7951	+	6.05652i	−1.04496	+	0.355651i
$291$	13.9776	+	0.681332i	0.819381	+	0.0399404i
$292$	1.81262	+	0.204233i	0.106075	+	0.0119518i
$293$	−8.45827	+	13.4613i	−0.494137	+	0.786415i	−0.996955	−	0.0779774i	$-0.975154\pi$
$293$	−8.45827	+	13.4613i	−0.494137	+	0.786415i	0.502818	+	0.864392i	$0.332297\pi$
$294$	3.74402	−	13.3665i	0.218356	−	0.779551i
$295$	−0.0638749	+	0.0509385i	−0.00371894	+	0.00296576i
$296$	20.6099	−	25.8440i	1.19792	−	1.50215i
$297$	−18.5141	+	1.45228i	−1.07430	+	0.0842696i
$298$	−7.30180	−	2.55501i	−0.422982	−	0.148008i
$299$	−19.6140	+	9.44561i	−1.13431	+	0.546254i
$300$	4.24331	−	2.38632i	0.244988	−	0.137774i
$301$	2.07026	−	0.724417i	0.119328	−	0.0417547i
$302$	5.19692	−	5.19692i	0.299049	−	0.299049i
$303$	11.1543	+	6.05751i	0.640795	+	0.347995i
$304$	−0.412879	−	3.66441i	−0.0236803	−	0.210168i
$305$	1.84665	+	16.3895i	0.105739	+	0.938458i
$306$	10.4026	+	6.32378i	0.594676	+	0.361506i
$307$	−12.6292	+	12.6292i	−0.720784	+	0.720784i	−0.968765	−	0.247981i	$-0.920233\pi$
$307$	−12.6292	+	12.6292i	−0.720784	+	0.720784i	0.247981	+	0.968765i	$0.420233\pi$
$308$	−0.476279	+	0.166657i	−0.0271385	+	0.00949618i
$309$	9.81789	+	17.4580i	0.558520	+	0.993150i
$310$	4.30355	−	2.07248i	0.244425	−	0.117709i
$311$	15.1806	+	5.31194i	0.860815	+	0.301212i	0.724350	−	0.689433i	$-0.242140\pi$
$311$	15.1806	+	5.31194i	0.860815	+	0.301212i	0.136465	+	0.990645i	$0.456426\pi$
$312$	−3.18428	−	17.9372i	−0.180274	−	1.01549i
$313$	14.5463	−	18.2405i	0.822208	−	1.03102i	−0.176699	−	0.984265i	$-0.556542\pi$
$313$	14.5463	−	18.2405i	0.822208	−	1.03102i	0.998907	−	0.0467509i	$-0.0148867\pi$
$314$	−14.7168	+	11.7363i	−0.830517	+	0.662315i
$315$	1.80999	+	0.603453i	0.101981	+	0.0340007i
$316$	−2.62386	+	4.17585i	−0.147604	+	0.234910i
$317$	−13.6626	−	1.53940i	−0.767367	−	0.0864615i	−0.280402	−	0.959883i	$-0.590468\pi$
$317$	−13.6626	−	1.53940i	−0.767367	−	0.0864615i	−0.486965	+	0.873421i	$0.661896\pi$
$318$	−0.887818	+	18.2137i	−0.0497863	+	1.02137i
$319$	−1.99135	−	19.1432i	−0.111494	−	1.07181i
$320$		−	25.9844i		−	1.45257i
$321$	4.04162	−	24.9008i	0.225581	−	1.38983i
$322$	−1.30512	−	0.820063i	−0.0727316	−	0.0457003i
$323$	1.31222	−	5.74923i	0.0730141	−	0.319896i
$324$	−5.37372	+	2.78652i	−0.298540	+	0.154807i
$325$	11.1604	+	8.90014i	0.619069	+	0.493691i
$326$	13.2007	−	3.01297i	0.731119	−	0.166873i
$327$	14.5996	+	5.92126i	0.807358	+	0.327446i
$328$	1.49405	+	3.10243i	0.0824951	+	0.171303i
$329$	−1.38202	−	2.19947i	−0.0761930	−	0.121260i
$330$	−6.13522	−	20.7187i	−0.337733	−	1.14053i
$331$	−5.31631	−	5.31631i	−0.292211	−	0.292211i	0.545742	−	0.837953i	$-0.316248\pi$
$331$	−5.31631	−	5.31631i	−0.292211	−	0.292211i	−0.837953	+	0.545742i	$0.816248\pi$
$332$	−0.678611	−	0.326802i	−0.0372436	−	0.0179356i
$333$	−0.476228	−	32.2021i	−0.0260971	−	1.76467i
$334$	−2.80522	+	0.316073i	−0.153495	+	0.0172947i
$335$	−5.84834	+	12.1442i	−0.319529	+	0.663509i
$336$	0.593138	−	0.538001i	0.0323583	−	0.0293504i
$337$	3.11681	+	8.90733i	0.169784	+	0.485213i	0.997064	−	0.0765761i	$-0.0243988\pi$
$337$	3.11681	+	8.90733i	0.169784	+	0.485213i	−0.827280	+	0.561789i	$0.810113\pi$
$338$	−1.29950	+	0.816529i	−0.0706834	+	0.0444133i
$339$	3.30893	+	7.82432i	0.179716	+	0.424959i
$340$	2.37043	−	6.77431i	0.128555	−	0.367389i
$341$	1.08828	+	4.76805i	0.0589335	+	0.258205i
$342$	−4.15213	−	4.03111i	−0.224522	−	0.217978i
$343$	−1.82656	−	2.29043i	−0.0986250	−	0.123672i
$344$	−31.3667	−	7.15925i	−1.69118	−	0.386001i
$345$	−19.1509	+	27.4179i	−1.03105	+	1.47613i
$346$	−1.27511	+	11.3169i	−0.0685505	+	0.608403i
$347$	33.8811			1.81883			0.909415	−	0.415889i	$-0.136530\pi$
$347$	33.8811			1.81883			0.909415	+	0.415889i	$0.136530\pi$
$348$	−3.02823	−	5.49415i	−0.162330	−	0.294517i
$349$	−20.9033			−1.11893			−0.559464	−	0.828855i	$-0.688993\pi$
$349$	−20.9033			−1.11893			−0.559464	+	0.828855i	$0.688993\pi$
$350$	−0.113162	+	1.00434i	−0.00604876	+	0.0536842i
$351$	−13.4936	−	11.5307i	−0.720236	−	0.615462i
$352$	12.6163	+	2.87958i	0.672449	+	0.153482i
$353$	−13.5908	−	17.0424i	−0.723367	−	0.907074i	0.275156	−	0.961400i	$-0.411271\pi$
$353$	−13.5908	−	17.0424i	−0.723367	−	0.907074i	−0.998523	+	0.0543256i	$0.982699\pi$
$354$	0.0403890	+	0.0355602i	0.00214665	+	0.00189000i
$355$	−5.61672	−	24.6085i	−0.298105	−	1.30608i
$356$	1.53394	−	4.38374i	0.0812986	−	0.232338i
$357$	1.17946	−	0.498796i	0.0624235	−	0.0263991i
$358$	6.14491	−	3.86111i	0.324769	−	0.204066i
$359$	8.26518	+	23.6205i	0.436220	+	1.24664i	0.926901	+	0.375305i	$0.122462\pi$
$359$	8.26518	+	23.6205i	0.436220	+	1.24664i	−0.490681	+	0.871339i	$0.663252\pi$
$360$	−17.7711	−	21.6205i	−0.936621	−	1.13950i
$361$	7.02750	−	14.5927i	0.369868	−	0.768039i
$362$	−10.3155	+	1.16227i	−0.542168	+	0.0610877i
$363$	3.06538	−	0.194894i	0.160891	−	0.0102293i
$364$	−0.434507	−	0.209248i	−0.0227744	−	0.0109676i
$365$	5.81009	+	5.81009i	0.304114	+	0.304114i
$366$	10.4164	−	3.08451i	0.544476	−	0.161230i
$367$	0.398518	+	0.634237i	0.0208024	+	0.0331069i	0.856964	−	0.515377i	$-0.172348\pi$
$367$	0.398518	+	0.634237i	0.0208024	+	0.0331069i	−0.836161	+	0.548484i	$0.815205\pi$
$368$	6.09037	+	12.6468i	0.317482	+	0.659259i
$369$	3.04384	+	1.41078i	0.158456	+	0.0734421i
$370$	36.5329	−	8.33841i	1.89926	−	0.433493i
$371$	1.49971	+	1.19598i	0.0778610	+	0.0620921i
$372$	0.932060	+	1.29325i	0.0483251	+	0.0670517i
$373$	−5.73876	+	25.1432i	−0.297142	+	1.30186i	0.577220	+	0.816589i	$0.304138\pi$
$373$	−5.73876	+	25.1432i	−0.297142	+	1.30186i	−0.874362	+	0.485275i	$0.838719\pi$
$374$	−12.2801	−	7.71612i	−0.634991	−	0.398991i
$375$	−4.25269	−	0.690250i	−0.219608	−	0.0356444i
$376$			38.1035i			1.96504i
$377$	11.5915	−	14.2831i	0.596993	−	0.735616i
$378$	0.182974	−	1.24331i	0.00941116	−	0.0639488i
$379$	10.1793	+	1.14693i	0.522876	+	0.0589140i	0.369458	−	0.929247i	$-0.379543\pi$
$379$	10.1793	+	1.14693i	0.522876	+	0.0589140i	0.153418	+	0.988161i	$0.450972\pi$
$380$	−1.81515	+	2.88879i	−0.0931152	+	0.148192i
$381$	−8.99303	−	2.51899i	−0.460727	−	0.129052i
$382$	−0.994848	+	0.793365i	−0.0509008	+	0.0405921i
$383$	−4.55026	+	5.70584i	−0.232507	+	0.291555i	−0.884374	−	0.466778i	$-0.845415\pi$
$383$	−4.55026	+	5.70584i	−0.232507	+	0.291555i	0.651867	+	0.758333i	$0.273986\pi$
$384$	−4.50189	+	0.799193i	−0.229736	+	0.0407836i
$385$	−2.14543	−	0.750718i	−0.109341	−	0.0382601i
$386$	17.0827	−	8.22660i	0.869487	−	0.418723i
$387$	−28.0376	+	14.0167i	−1.42523	+	0.712508i
$388$	−5.12921	+	1.79479i	−0.260396	+	0.0911165i
$389$	−4.56253	+	4.56253i	−0.231329	+	0.231329i	−0.813247	−	0.581918i	$-0.802302\pi$
$389$	−4.56253	+	4.56253i	−0.231329	+	0.231329i	0.581918	+	0.813247i	$0.302302\pi$
$390$	9.85577	−	18.1483i	0.499066	−	0.918977i
$391$	2.51330	+	22.3062i	0.127103	+	1.12807i
$392$	2.39812	+	21.2839i	0.121123	+	1.07500i
$393$	10.1409	−	18.6734i	0.511540	−	0.941947i
$394$	−1.56691	+	1.56691i	−0.0789400	+	0.0789400i
$395$	−20.9688	+	7.33730i	−1.05506	+	0.369180i
$396$	6.45026	−	3.22464i	0.324138	−	0.162044i
$397$	−19.1476	+	9.22101i	−0.960992	+	0.462789i	−0.847527	−	0.530753i	$-0.821909\pi$
$397$	−19.1476	+	9.22101i	−0.960992	+	0.462789i	−0.113465	+	0.993542i	$0.536195\pi$
$398$	2.10252	+	0.735705i	0.105390	+	0.0368775i
$399$	−0.599379	+	0.106404i	−0.0300065	+	0.00532686i
$400$	5.73866	−	7.19605i	0.286933	−	0.359802i
$401$	0.406748	−	0.324371i	0.0203120	−	0.0161983i	−0.613281	−	0.789865i	$-0.710151\pi$
$401$	0.406748	−	0.324371i	0.0203120	−	0.0161983i	0.633593	+	0.773666i	$0.281579\pi$
$402$	8.54919	+	2.39467i	0.426395	+	0.119435i
$403$	−2.48686	+	3.95781i	−0.123879	+	0.197152i
$404$	−4.89787	−	0.551857i	−0.243678	−	0.0274559i
$405$	−26.7513	−	5.27876i	−1.32928	−	0.262304i
$406$	1.29293	+	0.156883i	0.0641670	+	0.00778595i
$407$			38.3675i			1.90181i
$408$	−18.5419	−	3.00951i	−0.917960	−	0.148993i
$409$	6.89460	+	4.33217i	0.340916	+	0.214212i	0.691598	−	0.722283i	$-0.256907\pi$
$409$	6.89460	+	4.33217i	0.340916	+	0.214212i	−0.350681	+	0.936495i	$0.614050\pi$
$410$	−0.868618	+	3.80567i	−0.0428980	+	0.187948i
$411$	−14.4195	−	20.0073i	−0.711264	−	0.986889i
$412$	−6.08083	−	4.84930i	−0.299581	−	0.238908i
$413$	0.00551872	−	0.00125961i	0.000271558	−	6.19814e-5i
$414$	19.9862	+	9.26328i	0.982266	+	0.455266i
$415$	−1.47210	−	3.05684i	−0.0722625	−	0.150055i
$416$	6.58022	+	10.4724i	0.322622	+	0.513449i
$417$	16.9585	−	5.02175i	0.830462	−	0.245916i
$418$	4.87500	+	4.87500i	0.238444	+	0.238444i
$419$	−17.0012	−	8.18735i	−0.830564	−	0.399978i	−0.0302371	−	0.999543i	$-0.509626\pi$
$419$	−17.0012	−	8.18735i	−0.830564	−	0.399978i	−0.800326	+	0.599564i	$0.795341\pi$
$420$	−0.739388	+	0.0470097i	−0.0360784	+	0.00229384i
$421$	30.3344	−	3.41787i	1.47841	−	0.166577i	0.664377	−	0.747398i	$-0.268697\pi$
$421$	30.3344	−	3.41787i	1.47841	−	0.166577i	0.814031	+	0.580821i	$0.197268\pi$
$422$	1.42646	−	2.96207i	0.0694389	−	0.144191i
$423$	23.5729	+	28.6790i	1.14615	+	1.39442i
$424$	−9.29317	−	26.5584i	−0.451316	−	1.28979i
$425$	12.4628	−	7.83092i	0.604537	−	0.379856i
$426$	−15.3127	+	6.47576i	−0.741901	+	0.313752i
$427$	0.377427	−	1.07863i	0.0182650	−	0.0521983i
$428$	2.17979	+	9.55028i	0.105364	+	0.461630i
$429$	15.8704	+	13.9730i	0.766232	+	0.674624i
$430$	−22.7401	−	28.5152i	−1.09662	−	1.37512i
$431$	2.26048	+	0.515941i	0.108884	+	0.0248520i	0.276616	−	0.960981i	$-0.410787\pi$
$431$	2.26048	+	0.515941i	0.108884	+	0.0248520i	−0.167732	+	0.985833i	$0.553644\pi$
$432$	−7.43478	+	8.70045i	−0.357706	+	0.418601i
$433$	−0.162042	+	1.43816i	−0.00778724	+	0.0691137i	−0.997005	−	0.0773399i	$-0.975357\pi$
$433$	−0.162042	+	1.43816i	−0.00778724	+	0.0691137i	0.989218	+	0.146454i	$0.0467859\pi$
$434$	−0.330952			−0.0158862
$435$	4.76573	−	27.8542i	0.228499	−	1.33551i
$436$	−6.11776			−0.292988
$437$	1.19474	−	10.6036i	0.0571521	−	0.507239i
$438$	3.09910	−	4.43692i	0.148081	−	0.212004i
$439$	−13.6446	−	3.11430i	−0.651222	−	0.148637i	−0.115868	−	0.993265i	$-0.536965\pi$
$439$	−13.6446	−	3.11430i	−0.651222	−	0.148637i	−0.535355	+	0.844627i	$0.679822\pi$
$440$	20.7881	+	26.0674i	0.991033	+	1.24272i
$441$	14.9723	+	14.5360i	0.712969	+	0.692189i
$442$	−3.08444	−	13.5138i	−0.146712	−	0.642787i
$443$	−3.28356	+	9.38387i	−0.156007	+	0.445841i	−0.995185	−	0.0980151i	$-0.968751\pi$
$443$	−3.28356	+	9.38387i	−0.156007	+	0.445841i	0.839178	+	0.543856i	$0.183036\pi$
$444$	4.87111	+	11.5183i	0.231173	+	0.546634i
$445$	17.7142	−	11.1306i	0.839733	−	0.527639i
$446$	4.14536	+	11.8468i	0.196289	+	0.560960i
$447$	8.61406	−	7.81331i	0.407431	−	0.369557i
$448$	−0.781150	+	1.62208i	−0.0369059	+	0.0766359i
$449$	−11.7589	+	1.32491i	−0.554936	+	0.0625263i	−0.384979	−	0.922925i	$-0.625791\pi$
$449$	−11.7589	+	1.32491i	−0.554936	+	0.0625263i	−0.169957	+	0.985452i	$0.554363\pi$
$450$	−0.213589	−	14.4427i	−0.0100687	−	0.680835i
$451$	−3.60097	−	1.73414i	−0.169563	−	0.0816573i
$452$	−2.33262	−	2.33262i	−0.109717	−	0.109717i
$453$	3.13714	+	10.5941i	0.147395	+	0.497756i
$454$	12.4769	+	19.8569i	0.585569	+	0.931928i
$455$	−0.942569	−	1.95726i	−0.0441883	−	0.0917580i
$456$	8.27484	+	3.35609i	0.387505	+	0.157163i
$457$	17.1061	−	3.90435i	0.800189	−	0.182638i	0.197175	−	0.980368i	$-0.436823\pi$
$457$	17.1061	−	3.90435i	0.800189	−	0.182638i	0.603014	+	0.797730i	$0.293966\pi$
$458$	22.1313	+	17.6491i	1.03413	+	0.824690i
$459$	−15.8176	+	9.20587i	−0.738303	+	0.429693i
$460$	2.88983	−	12.6612i	0.134739	−	0.590331i
$461$	6.36737	+	4.00088i	0.296558	+	0.186340i	0.672090	−	0.740470i	$-0.265397\pi$
$461$	6.36737	+	4.00088i	0.296558	+	0.186340i	−0.375532	+	0.926810i	$0.622540\pi$
$462$	−0.239861	+	1.47780i	−0.0111593	+	0.0687536i
$463$			26.8405i			1.24738i	0.781670	+	0.623692i	$0.214368\pi$
$463$			26.8405i			1.24738i	−0.781670	+	0.623692i	$0.785632\pi$
$464$	−9.20949	−	7.47401i	−0.427540	−	0.346972i
$465$	−0.349611	+	7.17230i	−0.0162128	+	0.332608i
$466$	15.6262	+	1.76065i	0.723871	+	0.0815607i
$467$	14.5208	−	23.1097i	0.671943	−	1.06939i	−0.320567	−	0.947226i	$-0.603873\pi$
$467$	14.5208	−	23.1097i	0.671943	−	1.06939i	0.992510	−	0.122165i	$-0.0389837\pi$
$468$	6.53846	+	2.17993i	0.302240	+	0.100767i
$469$	0.730165	−	0.582287i	0.0337159	−	0.0268875i
$470$	−26.9315	+	33.7710i	−1.24226	+	1.55774i
$471$	−4.94625	−	27.8625i	−0.227911	−	1.28383i
$472$	−0.0783742	−	0.0274243i	−0.00360746	−	0.00126231i
$473$	33.6453	−	16.2027i	1.54701	−	0.745002i
$474$	7.17258	+	12.7541i	0.329448	+	0.585817i
$475$	−6.60422	+	2.31092i	−0.303022	+	0.106032i
$476$	−0.351625	+	0.351625i	−0.0161167	+	0.0161167i
$477$	−23.4251	−	14.2402i	−1.07256	−	0.652014i
$478$	−1.27074	−	11.2781i	−0.0581223	−	0.515850i
$479$	−2.92958	−	26.0007i	−0.133856	−	1.18800i	−0.863562	−	0.504243i	$-0.831772\pi$
$479$	−2.92958	−	26.0007i	−0.133856	−	1.18800i	0.729706	−	0.683761i	$-0.239657\pi$
$480$	16.6971	+	9.06766i	0.762116	+	0.413880i
$481$	−25.9294	+	25.9294i	−1.18228	+	1.18228i
$482$	12.2026	−	4.26989i	0.555815	−	0.194488i
$483$	2.01974	−	1.13584i	0.0919012	−	0.0516827i
$484$	−1.07462	+	0.517509i	−0.0488463	+	0.0235231i
$485$	−23.1048	−	8.08473i	−1.04914	−	0.367109i
$486$	−0.343568	+	17.9567i	−0.0155846	+	0.814534i
$487$	20.2791	−	25.4292i	0.918933	−	1.15231i	−0.0690298	−	0.997615i	$-0.521990\pi$
$487$	20.2791	−	25.4292i	0.918933	−	1.15231i	0.987963	−	0.154691i	$-0.0494382\pi$
$488$	−13.1055	+	10.4513i	−0.593260	+	0.473109i
$489$	−5.49034	+	19.6010i	−0.248282	+	0.886390i
$490$	−12.9180	+	20.5588i	−0.583575	+	0.928754i
$491$	23.4634	+	2.64369i	1.05889	+	0.119308i	0.624193	−	0.781270i	$-0.285428\pi$
$491$	23.4634	+	2.64369i	1.05889	+	0.119308i	0.434695	+	0.900578i	$0.356856\pi$
$492$	−1.30121	−	0.0634269i	−0.0586630	−	0.00285951i
$493$	−9.95351	−	16.1457i	−0.448284	−	0.727165i
$494$			6.58921i			0.296463i
$495$	31.7731	+	6.75931i	1.42810	+	0.303808i
$496$	2.55193	+	1.60348i	0.114585	+	0.0719985i
$497$	−0.389163	+	1.70503i	−0.0174563	+	0.0764812i
$498$	−1.81297	+	1.30663i	−0.0812412	+	0.0585515i
$499$	8.47054	+	6.75503i	0.379193	+	0.302397i	0.794476	−	0.607296i	$-0.207746\pi$
$499$	8.47054	+	6.75503i	0.379193	+	0.302397i	−0.415282	+	0.909693i	$0.636317\pi$
$500$	1.63105	−	0.372277i	0.0729428	−	0.0166487i
$501$	1.59503	−	3.93274i	0.0712607	−	0.175702i
$502$	−6.55501	−	13.6116i	−0.292564	−	0.607516i
$503$	−14.6351	−	23.2917i	−0.652548	−	1.03852i	−0.995085	−	0.0990195i	$-0.968429\pi$
$503$	−14.6351	−	23.2917i	−0.652548	−	1.03852i	0.342538	−	0.939504i	$-0.388713\pi$
$504$	0.459400	+	1.88390i	0.0204633	+	0.0839157i
$505$	−15.6994	−	15.6994i	−0.698616	−	0.698616i
$506$	−23.6443	−	11.3865i	−1.05112	−	0.506191i
$507$	−0.146396	−	2.30258i	−0.00650167	−	0.102261i
$508$	3.60373	−	0.406043i	0.159890	−	0.0180152i
$509$	1.80735	−	3.75301i	0.0801095	−	0.166349i	−0.857067	−	0.515205i	$-0.827716\pi$
$509$	1.80735	−	3.75301i	0.0801095	−	0.166349i	0.937176	+	0.348856i	$0.113430\pi$
$510$	−14.3065	−	15.7727i	−0.633502	−	0.698427i
$511$	−0.188030	−	0.537359i	−0.00831795	−	0.0237713i
$512$	18.2370	−	11.4591i	0.805971	−	0.506425i
$513$	8.30441	−	2.59327i	0.366649	−	0.114496i
$514$	−7.23308	+	20.6709i	−0.319037	+	0.911756i
$515$	−7.79602	−	34.1566i	−0.343534	−	1.50512i
$516$	8.04354	−	9.13579i	0.354097	−	0.402181i
$517$	−27.5748	−	34.5776i	−1.21274	−	1.52072i
$518$	−2.53124	−	0.577739i	−0.111216	−	0.0253844i
$519$	−14.0360	−	9.80383i	−0.616111	−	0.430341i
$520$	−3.56787	+	31.6657i	−0.156461	+	1.38863i
$521$	−30.0073			−1.31464			−0.657321	−	0.753611i	$-0.728310\pi$
$521$	−30.0073			−1.31464			−0.657321	+	0.753611i	$0.728310\pi$
$522$	−18.6130	+	0.116124i	−0.814668	+	0.00508262i
$523$	−30.0561			−1.31426			−0.657131	−	0.753776i	$-0.728230\pi$
$523$	−30.0561			−1.31426			−0.657131	+	0.753776i	$0.728230\pi$
$524$	−0.923866	+	8.19953i	−0.0403593	+	0.358198i
$525$	−1.24564	−	0.870056i	−0.0543643	−	0.0379724i
$526$	−22.2901	−	5.08757i	−0.971895	−	0.221829i
$527$	3.00504	+	3.76820i	0.130902	+	0.164145i
$528$	9.00956	−	10.2330i	0.392091	−	0.445334i
$529$	3.92039	+	17.1764i	0.170452	+	0.746798i
$530$	10.5349	−	30.1070i	0.457607	−	1.30776i
$531$	−0.0759554	+	0.0278453i	−0.00329618	+	0.00120838i
$532$	0.200154	−	0.125765i	0.00867779	−	0.00545262i
$533$	−1.26164	−	3.60555i	−0.0546476	−	0.156174i
$534$	−9.25792	−	10.2067i	−0.400629	−	0.441688i
$535$	−19.1456	+	39.7563i	−0.827737	+	1.71881i
$536$	−13.6131	+	1.53383i	−0.587997	+	0.0662514i
$537$	0.692260	+	10.8882i	0.0298732	+	0.469859i
$538$	15.4766	+	7.45313i	0.667243	+	0.321327i
$539$	−17.5790	−	17.5790i	−0.757180	−	0.757180i
$540$	10.3967	−	2.00469i	0.447404	−	0.0862679i
$541$	−11.0276	−	17.5503i	−0.474114	−	0.754548i	0.520971	−	0.853575i	$-0.325570\pi$
$541$	−11.0276	−	17.5503i	−0.474114	−	0.754548i	−0.995085	+	0.0990263i	$0.968427\pi$
$542$	−5.09567	−	10.5813i	−0.218878	−	0.454505i
$543$	5.86529	−	14.4616i	0.251704	−	0.620606i
$544$	12.4332	−	2.83780i	0.533069	−	0.121670i
$545$	−21.5456	−	17.1820i	−0.922912	−	0.735997i
$546$	−1.16083	+	0.836622i	−0.0496788	+	0.0358041i
$547$	−1.09056	+	4.77805i	−0.0466289	+	0.204295i	−0.992876	−	0.119149i	$-0.961983\pi$
$547$	−1.09056	+	4.77805i	−0.0466289	+	0.204295i	0.946247	+	0.323443i	$0.104841\pi$
$548$	8.10878	+	5.09508i	0.346390	+	0.217651i
$549$	−3.39828	+	15.9741i	−0.145035	+	0.681758i
$550$			17.2079i			0.733746i
$551$	2.90506	+	8.53555i	0.123760	+	0.363626i
$552$	−33.9500	−	1.65488i	−1.44501	−	0.0704364i
$553$	1.52955	+	0.172339i	0.0650432	+	0.00732861i
$554$	−5.30418	+	8.44156i	−0.225353	+	0.358647i
$555$	−15.1945	+	54.2459i	−0.644972	+	2.30261i
$556$	−5.36954	+	4.28207i	−0.227719	+	0.181600i
$557$	0.590656	−	0.740660i	0.0250269	−	0.0313828i	−0.769161	−	0.639056i	$-0.779325\pi$
$557$	0.590656	−	0.740660i	0.0250269	−	0.0313828i	0.794187	+	0.607673i	$0.207897\pi$
$558$	4.69170	−	0.599010i	0.198615	−	0.0253581i
$559$	33.6881	+	11.7880i	1.42486	+	0.498579i
$560$	−1.26201	+	0.607752i	−0.0533297	+	0.0256822i
$561$	19.0041	−	10.6874i	0.802353	−	0.451221i
$562$	27.9824	−	9.79147i	1.18037	−	0.413028i
$563$	31.0197	−	31.0197i	1.30732	−	1.30732i	0.383985	−	0.923339i	$-0.374551\pi$
$563$	31.0197	−	31.0197i	1.30732	−	1.30732i	0.923339	−	0.383985i	$-0.125449\pi$
$564$	−12.6681	−	6.87966i	−0.533425	−	0.289686i
$565$	−1.66377	−	14.7663i	−0.0699951	−	0.621224i
$566$	0.624213	+	5.54004i	0.0262376	+	0.232865i
$567$	1.51126	+	1.13373i	0.0634668	+	0.0476122i
$568$	18.1399	−	18.1399i	0.761133	−	0.761133i
$569$	17.3208	−	6.06079i	0.726124	−	0.254082i	0.0581933	−	0.998305i	$-0.481466\pi$
$569$	17.3208	−	6.06079i	0.726124	−	0.254082i	0.667931	+	0.744224i	$0.267180\pi$
$570$	4.96189	+	8.82314i	0.207831	+	0.369561i
$571$	26.9551	−	12.9809i	1.12804	−	0.543234i	0.225670	−	0.974204i	$-0.427543\pi$
$571$	26.9551	−	12.9809i	1.12804	−	0.543234i	0.902366	+	0.430970i	$0.141829\pi$
$572$	−7.75020	−	2.71191i	−0.324052	−	0.113391i
$573$	−0.334364	−	1.88349i	−0.0139682	−	0.0786838i
$574$	0.168630	−	0.211456i	0.00703850	−	0.00882599i
$575$	20.8230	−	16.6058i	0.868379	−	0.692509i
$576$	8.13798	−	24.4090i	0.339082	−	1.01704i
$577$	0.839115	−	1.33544i	0.0349328	−	0.0555953i	−0.828801	−	0.559543i	$-0.810977\pi$
$577$	0.839115	−	1.33544i	0.0349328	−	0.0555953i	0.863734	+	0.503948i	$0.168120\pi$
$578$	5.26036	+	0.592701i	0.218802	+	0.0246531i
$579$	−1.38776	+	28.4701i	−0.0576734	+	1.18318i
$580$	2.35026	+	10.7188i	0.0975894	+	0.445072i
$581$			0.235078i			0.00975267i
$582$	−2.58314	+	15.9149i	−0.107075	+	0.659696i
$583$	27.6530	+	17.3756i	1.14527	+	0.719622i
$584$	−1.85826	+	8.14156i	−0.0768953	+	0.336900i
$585$	16.9048	+	26.0409i	0.698925	+	1.07666i
$586$	−14.3206	−	11.4203i	−0.591578	−	0.471768i
$587$	8.11115	−	1.85132i	0.334783	−	0.0764121i	−0.0518249	−	0.998656i	$-0.516504\pi$
$587$	8.11115	−	1.85132i	0.334783	−	0.0764121i	0.386608	+	0.922244i	$0.373647\pi$
$588$	−7.50918	−	3.04555i	−0.309673	−	0.125597i
$589$	−0.994082	−	2.06423i	−0.0409604	−	0.0850552i
$590$	−0.0500794	−	0.0797009i	−0.00206174	−	0.00328123i
$591$	−0.945872	−	3.19422i	−0.0389080	−	0.131393i
$592$	16.7188	+	16.7188i	0.687140	+	0.687140i
$593$	31.3582	+	15.1013i	1.28773	+	0.620136i	0.947364	−	0.320159i	$-0.103736\pi$
$593$	31.3582	+	15.1013i	1.28773	+	0.620136i	0.340361	+	0.940295i	$0.389451\pi$
$594$	0.725589	−	21.3840i	0.0297713	−	0.877396i
$595$	−2.22591	+	0.250800i	−0.0912535	+	0.0102818i
$596$	−1.95941	+	4.06876i	−0.0802607	+	0.166663i
$597$	−2.48038	+	2.24981i	−0.101515	+	0.0920786i
$598$	−8.28403	−	23.6744i	−0.338759	−	0.968118i
$599$	0.785728	−	0.493705i	0.0321040	−	0.0201723i	−0.515884	−	0.856658i	$-0.672537\pi$
$599$	0.785728	−	0.493705i	0.0321040	−	0.0201723i	0.547988	+	0.836486i	$0.315394\pi$
$600$	8.68116	+	20.5276i	0.354407	+	0.838034i
$601$	−2.03931	+	5.82800i	−0.0831850	+	0.237729i	−0.977962	−	0.208785i	$-0.933049\pi$
$601$	−2.03931	+	5.82800i	−0.0831850	+	0.237729i	0.894777	+	0.446514i	$0.147335\pi$
$602$	0.562318	+	2.46368i	0.0229184	+	0.100412i
$603$	−9.29716	+	9.57628i	−0.378610	+	0.389976i
$604$	−2.67505	−	3.35440i	−0.108846	−	0.136489i
$605$	−5.23805	−	1.19555i	−0.212957	−	0.0486060i
$606$	−8.37408	+	11.9890i	−0.340174	+	0.487020i
$607$	5.16649	−	45.8539i	0.209701	−	1.86115i	−0.243707	−	0.969849i	$-0.578363\pi$
$607$	5.16649	−	45.8539i	0.209701	−	1.86115i	0.453408	−	0.891303i	$-0.350208\pi$
$608$	−6.06231			−0.245859
$609$	−1.13486	+	1.59553i	−0.0459870	+	0.0646542i
$610$	−19.0024			−0.769384
$611$	4.73267	−	42.0036i	0.191463	−	1.69929i
$612$	4.34834	−	5.62119i	0.175771	−	0.227223i
$613$	−23.9770	−	5.47260i	−0.968423	−	0.221036i	−0.291076	−	0.956700i	$-0.594013\pi$
$613$	−23.9770	−	5.47260i	−0.968423	−	0.221036i	−0.677347	+	0.735664i	$0.736870\pi$
$614$	−12.8299	−	16.0882i	−0.517772	−	0.649266i
$615$	−4.40447	−	3.87788i	−0.177605	−	0.156371i
$616$	−0.514049	−	2.25219i	−0.0207116	−	0.0907435i
$617$	−14.2586	+	40.7488i	−0.574031	+	1.64049i	0.180015	+	0.983664i	$0.442385\pi$
$617$	−14.2586	+	40.7488i	−0.574031	+	1.64049i	−0.754046	+	0.656822i	$0.771900\pi$
$618$	−21.2540	+	8.98838i	−0.854961	+	0.361566i
$619$	6.85749	−	4.30884i	0.275626	−	0.173187i	−0.387125	−	0.922027i	$-0.626532\pi$
$619$	6.85749	−	4.30884i	0.275626	−	0.173187i	0.662751	+	0.748840i	$0.269389\pi$
$620$	−0.920957	−	2.63194i	−0.0369865	−	0.105701i
$621$	−26.5767	+	19.7578i	−1.06648	+	0.792852i
$622$	−8.03987	+	16.6950i	−0.322369	+	0.669407i
$623$	−1.44042	+	0.162296i	−0.0577091	+	0.00650225i
$624$	13.0044	−	0.826811i	0.520594	−	0.0330989i
$625$	25.6155	+	12.3358i	1.02462	+	0.493430i
$626$	19.0070	+	19.0070i	0.759672	+	0.759672i
$627$	−9.93789	+	2.94281i	−0.396881	+	0.117524i
$628$	5.84627	+	9.30429i	0.233292	+	0.371282i
$629$	16.4055	+	34.0663i	0.654129	+	1.35831i
$630$	−0.924375	+	1.99440i	−0.0368280	+	0.0794588i
$631$	−11.8100	+	2.69555i	−0.470148	+	0.107308i	−0.451030	−	0.892509i	$-0.648943\pi$
$631$	−11.8100	+	2.69555i	−0.470148	+	0.107308i	−0.0191185	+	0.999817i	$0.506086\pi$
$632$	−17.6525	−	14.0774i	−0.702179	−	0.559969i
$633$	2.88978	+	4.00962i	0.114858	+	0.159368i
$634$	3.52490	−	15.4436i	0.139992	−	0.613344i
$635$	13.8320	+	8.69124i	0.548908	+	0.344902i
$636$	10.5077	+	1.70549i	0.416657	+	0.0676271i
$637$		−	23.7603i		−	0.941418i
$638$	22.1738	+	0.189565i	0.877869	+	0.00750493i
$639$	2.43087	−	24.8755i	0.0961637	−	0.984060i
$640$	7.94749	+	0.895467i	0.314152	+	0.0353964i
$641$	−24.3351	+	38.7290i	−0.961177	+	1.52970i	−0.117350	+	0.993091i	$0.537440\pi$
$641$	−24.3351	+	38.7290i	−0.961177	+	1.52970i	−0.843828	+	0.536614i	$0.819703\pi$
$642$	27.9873	+	7.83938i	1.10457	+	0.309396i
$643$	−5.36371	+	4.27742i	−0.211524	+	0.168685i	−0.723521	−	0.690302i	$-0.757477\pi$
$643$	−5.36371	+	4.27742i	−0.211524	+	0.168685i	0.511997	+	0.858987i	$0.328906\pi$
$644$	−0.561021	+	0.703499i	−0.0221073	+	0.0277217i
$645$	53.9861	−	9.58382i	2.12570	−	0.377362i
$646$	6.41298	+	2.24400i	0.252315	+	0.0882889i
$647$	−29.8464	+	14.3733i	−1.17338	+	0.565071i	−0.915976	−	0.401232i	$-0.868582\pi$
$647$	−29.8464	+	14.3733i	−1.17338	+	0.565071i	−0.257406	+	0.966303i	$0.582868\pi$
$648$	−9.92239	−	25.8754i	−0.389788	−	1.01648i
$649$	0.0909685	−	0.0318313i	0.00357083	−	0.00124949i
$650$	−11.6294	+	11.6294i	−0.456141	+	0.456141i
$651$	0.237440	−	0.437220i	0.00930601	−	0.0171360i
$652$	−0.885004	−	7.85463i	−0.0346594	−	0.307611i
$653$	−5.40942	−	48.0100i	−0.211687	−	1.87878i	−0.429903	−	0.902875i	$-0.641452\pi$
$653$	−5.40942	−	48.0100i	−0.211687	−	1.87878i	0.218216	−	0.975900i	$-0.429976\pi$
$654$	−8.66252	+	15.9511i	−0.338731	+	0.623737i
$655$	−26.2825	+	26.2825i	−1.02694	+	1.02694i
$656$	−2.32480	+	0.813483i	−0.0907682	+	0.0317612i
$657$	3.63817	+	7.27746i	0.141939	+	0.283921i
$658$	2.69643	−	1.29853i	0.105118	−	0.0506220i
$659$	−5.59379	−	1.95735i	−0.217903	−	0.0762476i	0.219120	−	0.975698i	$-0.429681\pi$
$659$	−5.59379	−	1.95735i	−0.217903	−	0.0762476i	−0.437023	+	0.899450i	$0.643967\pi$
$660$	−12.4199	+	2.20483i	−0.483444	+	0.0858227i
$661$	−7.72608	+	9.68820i	−0.300510	+	0.376827i	−0.909044	−	0.416700i	$-0.863186\pi$
$661$	−7.72608	+	9.68820i	−0.300510	+	0.376827i	0.608534	+	0.793528i	$0.291758\pi$
$662$	6.77240	−	5.40081i	0.263217	−	0.209908i
$663$	20.0660	+	5.62057i	0.779298	+	0.218285i
$664$	1.83459	−	2.91973i	0.0711959	−	0.113308i
$665$	1.05812	+	0.119222i	0.0410322	+	0.00462322i
$666$	36.9294	+	3.60879i	1.43099	+	0.139838i
$667$	−21.1686	−	27.0151i	−0.819650	−	1.04603i
$668$			1.64796i			0.0637616i
$669$	−18.6248	−	3.02297i	−0.720076	−	0.116875i
$670$	−13.1494	−	8.26231i	−0.508005	−	0.319201i
$671$	4.32943	−	18.9685i	0.167136	−	0.732269i
$672$	−0.769723	−	1.06800i	−0.0296927	−	0.0411991i
$673$	26.7855	+	21.3608i	1.03251	+	0.823397i	0.984488	−	0.175450i	$-0.0561379\pi$
$673$	26.7855	+	21.3608i	1.03251	+	0.823397i	0.0480186	+	0.998846i	$0.484709\pi$
$674$	−10.6000	+	2.41938i	−0.408297	+	0.0931911i
$675$	19.2334	+	10.0797i	0.740296	+	0.387966i
$676$	0.388730	+	0.807206i	0.0149511	+	0.0310464i
$677$	8.24181	+	13.1168i	0.316758	+	0.504118i	0.966716	−	0.255852i	$-0.0823561\pi$
$677$	8.24181	+	13.1168i	0.316758	+	0.504118i	−0.649957	+	0.759971i	$0.725213\pi$
$678$	−9.38485	+	2.77904i	−0.360423	+	0.106728i
$679$	1.19927	+	1.19927i	0.0460238	+	0.0460238i
$680$	29.6037	+	14.2564i	1.13525	+	0.546708i
$681$	−35.1843	+	2.23699i	−1.34827	+	0.0857216i
$682$	−5.59929	+	0.630889i	−0.214408	+	0.0241580i
$683$	−6.91303	+	14.3551i	−0.264520	+	0.549281i	−0.990349	−	0.138593i	$-0.955742\pi$
$683$	−6.91303	+	14.3551i	−0.264520	+	0.549281i	0.725829	+	0.687875i	$0.241456\pi$
$684$	−2.60983	+	2.14516i	−0.0997893	+	0.0820224i
$685$	14.2478	+	40.7178i	0.544379	+	1.55575i
$686$	2.85792	−	1.79575i	0.109116	−	0.0685621i
$687$	−39.1942	+	16.5754i	−1.49535	+	0.632389i
$688$	7.60069	−	21.7215i	0.289774	−	0.828125i
$689$	6.94569	+	30.4311i	0.264610	+	1.15933i
$690$	−28.9201	−	25.4625i	−1.10097	−	0.969342i
$691$	18.0487	+	22.6324i	0.686607	+	0.860977i	0.995944	−	0.0899750i	$-0.0286787\pi$
$691$	18.0487	+	22.6324i	0.686607	+	0.860977i	−0.309338	+	0.950952i	$0.600107\pi$
$692$	6.48160	+	1.47938i	0.246393	+	0.0562377i
$693$	−1.78023	−	1.37712i	−0.0676255	−	0.0523125i
$694$	−4.37060	+	38.7902i	−0.165906	+	1.47245i
$695$	−30.9369			−1.17350
$696$	26.5471	−	10.9603i	1.00627	−	0.415448i
$697$	−3.93878			−0.149192
$698$	2.69649	−	23.9320i	0.102064	−	0.905841i
$699$	−13.5370	+	19.3806i	−0.512015	+	0.733042i
$700$	0.575219	+	0.131290i	0.0217412	+	0.00496230i
$701$	25.1632	+	31.5536i	0.950400	+	1.19176i	0.981347	+	0.192243i	$0.0615763\pi$
$701$	25.1632	+	31.5536i	0.950400	+	1.19176i	−0.0309469	+	0.999521i	$0.509852\pi$
$702$	14.9420	−	13.9613i	0.563950	−	0.526935i
$703$	−3.99958	−	17.5233i	−0.150847	−	0.660904i
$704$	−10.1239	+	28.9326i	−0.381560	+	1.09044i
$705$	−25.2929	−	59.8079i	−0.952587	−	2.25250i
$706$	21.2649	−	13.3616i	0.800314	−	0.502871i
$707$	0.508076	+	1.45200i	0.0191082	+	0.0546080i
$708$	0.0232683	−	0.0211053i	0.000874477	−	0.000793187i
$709$	7.35662	−	15.2762i	0.276284	−	0.573709i	−0.715942	−	0.698160i	$-0.754003\pi$
$709$	7.35662	−	15.2762i	0.276284	−	0.573709i	0.992226	+	0.124451i	$0.0397169\pi$
$710$	28.8986	−	3.25609i	1.08454	−	0.122199i
$711$	−21.9954	+	0.325284i	−0.824892	+	0.0121991i
$712$	19.1570	+	9.22551i	0.717938	+	0.345740i
$713$	6.16681	+	6.16681i	0.230949	+	0.230949i
$714$	0.418919	+	1.41470i	0.0156777	+	0.0529436i
$715$	−19.6782	−	31.3176i	−0.735922	−	1.17121i
$716$	−1.83818	−	3.81702i	−0.0686960	−	0.142649i
$717$	15.8112	+	6.41267i	0.590480	+	0.239485i
$718$	−28.1092	+	6.41573i	−1.04902	+	0.239433i
$719$	−16.2436	−	12.9539i	−0.605786	−	0.483098i	0.271906	−	0.962324i	$-0.412346\pi$
$719$	−16.2436	−	12.9539i	−0.605786	−	0.483098i	−0.877692	+	0.479226i	$0.840917\pi$
$720$	16.7907	−	10.8999i	0.625752	−	0.406215i
$721$	−0.540159	+	2.36659i	−0.0201166	+	0.0881364i
$722$	15.8006	+	9.92817i	0.588037	+	0.369488i
$723$	−3.11378	+	19.1843i	−0.115803	+	0.713472i
$724$			6.05994i			0.225216i
$725$	−9.93732	+	20.1916i	−0.369063	+	0.749899i
$726$	−0.172296	+	3.53467i	−0.00639451	+	0.131184i
$727$	8.99792	+	1.01382i	0.333714	+	0.0376006i	0.277232	−	0.960803i	$-0.410583\pi$
$727$	8.99792	+	1.01382i	0.333714	+	0.0376006i	0.0564824	+	0.998404i	$0.482012\pi$
$728$	1.17467	−	1.86947i	0.0435361	−	0.0692873i
$729$	−23.4761	−	13.3369i	−0.869486	−	0.493958i
$730$	−7.40141	+	5.90243i	−0.273939	+	0.218459i
$731$	22.9454	−	28.7726i	0.848667	−	1.06419i
$732$	−1.10849	−	6.24417i	−0.0409709	−	0.230791i
$733$	28.4689	+	9.96169i	1.05152	+	0.367943i	0.800058	−	0.599923i	$-0.204802\pi$
$733$	28.4689	+	9.96169i	1.05152	+	0.367943i	0.251464	+	0.967867i	$0.419088\pi$
$734$	−0.777541	+	0.374444i	−0.0286996	+	0.0138210i
$735$	−17.8923	−	31.8157i	−0.659967	−	1.17354i
$736$	21.7813	−	7.62160i	0.802869	−	0.280936i
$737$	11.2435	−	11.2435i	0.414158	−	0.414158i
$738$	−2.00784	+	3.30289i	−0.0739095	+	0.121581i
$739$	−3.12041	−	27.6944i	−0.114786	−	1.01876i	−0.910621	−	0.413242i	$-0.864396\pi$
$739$	−3.12041	−	27.6944i	−0.114786	−	1.01876i	0.795835	−	0.605514i	$-0.207032\pi$
$740$	−2.44925	−	21.7377i	−0.0900363	−	0.799094i
$741$	−8.70499	−	4.72739i	−0.319786	−	0.173665i
$742$	−1.56273	+	1.56273i	−0.0573694	+	0.0573694i
$743$	19.3844	−	6.78291i	0.711146	−	0.248841i	0.0496255	−	0.998768i	$-0.484197\pi$
$743$	19.3844	−	6.78291i	0.711146	−	0.248841i	0.661520	+	0.749927i	$0.269912\pi$
$744$	−6.36122	+	3.57737i	−0.233214	+	0.131153i
$745$	−18.3280	+	8.82629i	−0.671486	+	0.323370i
$746$	−28.0459	−	9.81369i	−1.02683	−	0.359305i
$747$	−0.425481	−	3.33255i	−0.0155675	−	0.121932i
$748$	−5.27876	+	6.61935i	−0.193010	+	0.242027i
$749$	2.39033	−	1.90622i	0.0873407	−	0.0696519i
$750$	1.33885	−	4.77983i	0.0488880	−	0.174535i
$751$	−16.3849	+	26.0764i	−0.597893	+	0.951541i	0.401471	+	0.915872i	$0.368499\pi$
$751$	−16.3849	+	26.0764i	−0.597893	+	0.951541i	−0.999364	+	0.0356692i	$0.988644\pi$
$752$	−27.0832	−	3.05155i	−0.987624	−	0.111278i
$753$	22.6851	+	1.10578i	0.826692	+	0.0402968i
$754$	14.8573	+	15.1135i	0.541071	+	0.550402i
$755$		−	19.3266i		−	0.703365i
$756$	−0.709281	−	0.187407i	−0.0257963	−	0.00681593i
$757$	−5.81261	−	3.65231i	−0.211263	−	0.132745i	0.422244	−	0.906482i	$-0.361242\pi$
$757$	−5.81261	−	3.65231i	−0.211263	−	0.132745i	−0.633507	+	0.773737i	$0.718385\pi$
$758$	−2.62623	+	11.5063i	−0.0953889	+	0.417926i
$759$	32.0061	−	23.0672i	1.16175	−	0.837287i
$760$	−12.2118	−	9.73855i	−0.442967	−	0.353254i
$761$	−32.5740	+	7.43480i	−1.18081	+	0.269511i	−0.767481	−	0.641072i	$-0.778490\pi$
$761$	−32.5740	+	7.43480i	−1.18081	+	0.269511i	−0.413325	+	0.910583i	$0.635633\pi$
$762$	4.04405	−	9.97110i	0.146501	−	0.361215i
$763$	0.828451	+	1.72030i	0.0299919	+	0.0622789i
$764$	0.395205	+	0.628965i	0.0142980	+	0.0227551i
$765$	31.1014	−	7.58424i	1.12447	−	0.274209i
$766$	−5.94560	−	5.94560i	−0.214823	−	0.214823i
$767$	0.0829901	+	0.0399659i	0.00299660	+	0.00144309i
$768$	1.55089	+	24.3931i	0.0559630	+	0.880210i
$769$	11.0015	−	1.23957i	0.396725	−	0.0447002i	0.0886516	−	0.996063i	$-0.471744\pi$
$769$	11.0015	−	1.23957i	0.396725	−	0.0447002i	0.308074	+	0.951362i	$0.400316\pi$
$770$	1.13625	−	2.35944i	0.0409475	−	0.0850284i
$771$	−22.1190	−	24.3859i	−0.796596	−	0.878235i
$772$	−3.65569	−	10.4474i	−0.131571	−	0.376008i
$773$	−39.7003	+	24.9453i	−1.42792	+	0.897221i	−0.999978	−	0.00658548i	$-0.997904\pi$
$773$	−39.7003	+	24.9453i	−1.42792	+	0.897221i	−0.427941	+	0.903807i	$0.640761\pi$
$774$	−12.4308	−	33.9082i	−0.446815	−	1.21880i
$775$	1.88872	−	5.39765i	0.0678448	−	0.193889i
$776$	−5.53596	−	24.2546i	−0.198729	−	0.870690i
$777$	2.57927	−	2.92952i	0.0925309	−	0.105096i
$778$	−4.63504	−	5.81216i	−0.166174	−	0.208376i
$779$	1.82542	+	0.416639i	0.0654023	+	0.0149277i
$780$	−9.88363	−	6.90351i	−0.353891	−	0.247185i
$781$	−3.33386	+	29.5888i	−0.119295	+	1.05877i
$782$	−25.8624			−0.924837
$783$	13.2004	−	24.6729i	0.471743	−	0.881736i
$784$	−15.3202			−0.547152
$785$	−5.54209	+	49.1874i	−0.197806	+	1.75558i
$786$	20.0708	+	14.0191i	0.715903	+	0.500043i
$787$	49.2635	+	11.2441i	1.75605	+	0.400808i	0.974742	−	0.223334i	$-0.0716940\pi$
$787$	49.2635	+	11.2441i	1.75605	+	0.400808i	0.781311	+	0.624142i	$0.214551\pi$
$788$	0.806549	+	1.01138i	0.0287321	+	0.0360289i
$789$	22.7131	−	25.7974i	0.808608	−	0.918410i
$790$	−5.69548	−	24.9535i	−0.202636	−	0.887807i
$791$	−0.340049	+	0.971804i	−0.0120907	+	0.0345534i
$792$	11.3637	+	30.9975i	0.403792	+	1.10145i
$793$	15.7451	−	9.89330i	0.559125	−	0.351322i
$794$	−8.08705	−	23.1115i	−0.286999	−	0.820195i
$795$	32.2161	+	35.5177i	1.14259	+	1.25968i
$796$	0.564205	−	1.17158i	0.0199977	−	0.0415257i
$797$	−8.45975	+	0.953185i	−0.299660	+	0.0337635i	−0.260514	−	0.965470i	$-0.583892\pi$
$797$	−8.45975	+	0.953185i	−0.299660	+	0.0337635i	−0.0391454	+	0.999234i	$0.512464\pi$
$798$	−0.0445022	−	0.699950i	−0.00157536	−	0.0247780i
$799$	−39.2685	−	18.9107i	−1.38922	−	0.669012i
$800$	−10.6994	−	10.6994i	−0.378282	−	0.378282i
$801$	20.1261	−	4.90786i	0.711121	−	0.173411i
$802$	0.318899	+	0.507526i	0.0112607	+	0.0179214i
$803$	−4.20559	−	8.73299i	−0.148412	−	0.308180i
$804$	1.94793	−	4.80285i	0.0686982	−	0.169384i
$805$	−3.95162	+	0.901931i	−0.139276	+	0.0317889i
$806$	−4.21046	−	3.35773i	−0.148307	−	0.118271i
$807$	−20.9499	+	15.0989i	−0.737472	+	0.531505i
$808$	5.02120	−	21.9993i	0.176645	−	0.773933i
$809$	35.1604	+	22.0927i	1.23617	+	0.776739i	0.981717	−	0.190345i	$-0.0609607\pi$
$809$	35.1604	+	22.0927i	1.23617	+	0.776739i	0.254456	+	0.967084i	$0.418104\pi$
$810$	9.49448	−	29.9464i	0.333602	−	1.05221i
$811$		−	19.8288i		−	0.696283i	−0.937442	−	0.348142i	$-0.886813\pi$
$811$		−	19.8288i		−	0.696283i	0.937442	−	0.348142i	$-0.113187\pi$
$812$	0.175515	−	0.739772i	0.00615937	−	0.0259609i
$813$	17.6348	+	0.859599i	0.618478	+	0.0301475i
$814$	−43.9267	−	4.94935i	−1.53963	−	0.173475i
$815$	18.9433	−	30.1481i	0.663554	−	1.05604i
$816$	3.62405	−	12.9382i	0.126867	−	0.452928i
$817$	−13.6775	+	10.9075i	−0.478516	+	0.381604i
$818$	−5.84926	+	7.33474i	−0.204514	+	0.256453i
$819$	−0.272431	−	2.13379i	−0.00951950	−	0.0745608i
$820$	2.15089	+	0.752627i	0.0751122	+	0.0262829i
$821$	−10.4174	+	5.01674i	−0.363569	+	0.175085i	−0.606745	−	0.794897i	$-0.707525\pi$
$821$	−10.4174	+	5.01674i	−0.363569	+	0.175085i	0.243176	+	0.969982i	$0.421811\pi$
$822$	24.7663	−	13.9279i	0.863825	−	0.485792i
$823$	−13.3671	+	4.67735i	−0.465948	+	0.163042i	−0.553034	−	0.833158i	$-0.686530\pi$
$823$	−13.3671	+	4.67735i	−0.465948	+	0.163042i	0.0870862	+	0.996201i	$0.472244\pi$
$824$	25.1782	−	25.1782i	0.877124	−	0.877124i
$825$	−22.7333	−	12.3457i	−0.791471	−	0.429822i
$826$	0.000730213		0.00648082i	2.54074e−5		0.000225497i
$827$	−0.466458	−	4.13993i	−0.0162203	−	0.143960i	0.982992	−	0.183650i	$-0.0587913\pi$
$827$	−0.466458	−	4.13993i	−0.0162203	−	0.143960i	−0.999212	+	0.0396906i	$0.987363\pi$
$828$	6.67994	−	10.9885i	0.232144	−	0.381876i
$829$	−0.360310	+	0.360310i	−0.0125141	+	0.0125141i	−0.713336	−	0.700822i	$-0.752817\pi$
$829$	−0.360310	+	0.360310i	−0.0125141	+	0.0125141i	0.700822	+	0.713336i	$0.252817\pi$
$830$	3.68965	−	1.29107i	0.128070	−	0.0448135i
$831$	−7.34666	−	13.0637i	−0.254853	−	0.453174i
$832$	−26.3950	+	12.7112i	−0.915083	+	0.440681i
$833$	−23.1248	−	8.09173i	−0.801228	−	0.280362i
$834$	3.56174	+	20.0635i	0.123333	+	0.694741i
$835$	−4.62838	+	5.80381i	−0.160172	+	0.200849i
$836$	3.14661	−	2.50934i	0.108828	−	0.0867874i
$837$	−2.57468	+	6.62795i	−0.0889941	+	0.229095i
$838$	11.5668	−	18.4084i	0.399567	−	0.635908i
$839$	16.2122	+	1.82668i	0.559708	+	0.0630640i	0.387287	−	0.921959i	$-0.373412\pi$
$839$	16.2122	+	1.82668i	0.559708	+	0.0630640i	0.172421	+	0.985023i	$0.444841\pi$
$840$	0.165139	−	3.38784i	0.00569784	−	0.116892i
$841$	25.9092	+	13.0275i	0.893419	+	0.449224i
$842$			35.1705i			1.21206i
$843$	−7.14035	+	43.9923i	−0.245927	+	1.51518i
$844$	−1.62506	−	1.02109i	−0.0559368	−	0.0351474i
$845$	−0.898044	+	3.93459i	−0.0308937	+	0.135354i
$846$	−35.8752	+	23.2889i	−1.23342	+	0.800687i
$847$	0.291044	+	0.232100i	0.0100004	+	0.00797504i
$848$	19.6214	−	4.47847i	0.673803	−	0.153791i
$849$	−7.76677	−	3.15003i	−0.266555	−	0.108109i
$850$	7.35788	+	15.2788i	0.252373	+	0.524058i
$851$	36.4006	+	57.9312i	1.24780	+	1.98586i
$852$	2.75572	+	9.30611i	0.0944095	+	0.318822i
$853$	−22.3257	−	22.3257i	−0.764419	−	0.764419i	0.212699	−	0.977118i	$-0.431775\pi$
$853$	−22.3257	−	22.3257i	−0.764419	−	0.764419i	−0.977118	+	0.212699i	$0.931775\pi$
$854$	1.18622	+	0.571255i	0.0405917	+	0.0195479i
$855$	−15.2161	+	0.225027i	−0.520380	+	0.00769575i
$856$	−44.5650	+	5.02127i	−1.52320	+	0.171624i
$857$	−6.06210	+	12.5881i	−0.207077	+	0.430001i	−0.978479	−	0.206348i	$-0.933842\pi$
$857$	−6.06210	+	12.5881i	−0.207077	+	0.430001i	0.771401	+	0.636349i	$0.219556\pi$
$858$	−18.0449	+	16.3674i	−0.616041	+	0.558775i
$859$	−6.46701	−	18.4817i	−0.220652	−	0.630586i	−0.999992	−	0.00398524i	$-0.998731\pi$
$859$	−6.46701	−	18.4817i	−0.220652	−	0.630586i	0.779341	−	0.626601i	$-0.215554\pi$
$860$	−18.0279	+	11.3277i	−0.614747	+	0.386271i
$861$	0.158371	+	0.374485i	0.00539726	+	0.0127624i
$862$	−0.882295	+	2.52145i	−0.0300511	+	0.0858811i
$863$	7.12166	+	31.2020i	0.242424	+	1.06213i	0.938803	+	0.344455i	$0.111936\pi$
$863$	7.12166	+	31.2020i	0.242424	+	1.06213i	−0.696379	+	0.717675i	$0.745207\pi$
$864$	12.8449	+	13.7472i	0.436992	+	0.467689i
$865$	18.6720	+	23.4140i	0.634868	+	0.796099i
$866$	−1.62564	−	0.371041i	−0.0552414	−	0.0126085i
$867$	−4.55704	+	6.52422i	−0.154765	+	0.221574i
$868$	−0.0216315	+	0.191985i	−0.000734221	+	0.00651639i
$869$	26.2066			0.888999
$870$	31.2753	+	9.04940i	1.06033	+	0.306804i
$871$	15.1970			0.514932
$872$	3.13591	−	27.8319i	0.106195	−	0.942508i
$873$	−19.1719	−	14.8307i	−0.648872	−	0.501942i
$874$	11.9858	+	2.73569i	0.405427	+	0.0925362i
$875$	−0.325555	−	0.408234i	−0.0110058	−	0.0138008i
$876$	−2.37129	−	2.08779i	−0.0801185	−	0.0705397i
$877$	12.1702	+	53.3209i	0.410957	+	1.80052i	0.579666	+	0.814854i	$0.303183\pi$
$877$	12.1702	+	53.3209i	0.410957	+	1.80052i	−0.168709	+	0.985666i	$0.553960\pi$
$878$	5.32567	−	15.2199i	0.179733	−	0.513646i
$879$	25.3615	−	10.7255i	0.855423	−	0.361761i
$880$	−20.1931	+	12.6881i	−0.680708	+	0.427717i
$881$	1.60230	+	4.57911i	0.0539828	+	0.154274i	0.967718	−	0.252037i	$-0.0811006\pi$
$881$	1.60230	+	4.57911i	0.0539828	+	0.154274i	−0.913735	+	0.406311i	$0.866815\pi$
$882$	−18.5735	+	15.2666i	−0.625403	+	0.514053i
$883$	−3.66196	+	7.60415i	−0.123235	+	0.255900i	−0.953455	−	0.301536i	$-0.902501\pi$
$883$	−3.66196	+	7.60415i	−0.123235	+	0.255900i	0.830220	+	0.557436i	$0.188215\pi$
$884$	−8.04094	+	0.905997i	−0.270446	+	0.0304720i
$885$	0.141222	−	0.00897876i	0.00474712	−	0.000301818i
$886$	−10.3199	−	4.96983i	−0.346705	−	0.166965i
$887$	−11.9205	−	11.9205i	−0.400251	−	0.400251i	0.478070	−	0.878322i	$-0.341336\pi$
$887$	−11.9205	−	11.9205i	−0.400251	−	0.400251i	−0.878322	+	0.478070i	$0.841336\pi$
$888$	−54.8977	+	16.2563i	−1.84225	+	0.545526i
$889$	−0.602186	−	0.958373i	−0.0201967	−	0.0321428i
$890$	10.4582	+	21.7167i	0.350559	+	0.727944i
$891$	27.7298	+	16.3004i	0.928982	+	0.546084i
$892$	7.14323	−	1.63040i	0.239173	−	0.0545897i
$893$	16.1985	+	12.9179i	0.542063	+	0.432281i
$894$	7.83420	+	10.8701i	0.262015	+	0.363550i
$895$	4.24657	−	18.6054i	0.141947	−	0.621911i
$896$	−0.469202	−	0.294819i	−0.0156749	−	0.00984921i
$897$	37.2195	+	6.04106i	1.24272	+	0.201705i
$898$		−	13.6336i		−	0.454958i
$899$	−6.93452	−	2.49323i	−0.231279	−	0.0831540i
$900$	−8.39214	−	0.820092i	−0.279738	−	0.0273364i
$901$	31.9826	+	3.60357i	1.06549	+	0.120052i
$902$	2.44992	−	3.89902i	0.0815733	−	0.129823i
$903$	−3.65819	−	1.02468i	−0.121737	−	0.0340991i
$904$	11.8076	−	9.41627i	0.392716	−	0.313180i
$905$	−17.0196	+	21.3420i	−0.565752	+	0.709431i
$906$	−12.5338	+	2.22505i	−0.416409	+	0.0739225i
$907$	6.05597	+	2.11908i	0.201085	+	0.0703627i	0.428943	−	0.903332i	$-0.358886\pi$
$907$	6.05597	+	2.11908i	0.201085	+	0.0703627i	−0.227857	+	0.973695i	$0.573172\pi$
$908$	12.3344	−	5.93995i	0.409333	−	0.197124i
$909$	−9.83071	−	19.6644i	−0.326064	−	0.652228i
$910$	2.36245	−	0.826656i	0.0783143	−	0.0274034i
$911$	12.7309	−	12.7309i	0.421793	−	0.421793i	−0.464028	−	0.885821i	$-0.653596\pi$
$911$	12.7309	−	12.7309i	0.421793	−	0.421793i	0.885821	+	0.464028i	$0.153596\pi$
$912$	−3.04814	+	5.61283i	−0.100934	+	0.185859i
$913$	0.448125	+	3.97722i	0.0148308	+	0.131627i
$914$	2.26341	+	20.0883i	0.0748668	+	0.664462i
$915$	13.6332	−	25.1040i	0.450698	−	0.829913i
$916$	11.6848	−	11.6848i	0.386076	−	0.386076i
$917$	2.43079	−	0.850571i	0.0802718	−	0.0280883i
$918$	−8.49929	−	19.2970i	−0.280518	−	0.636896i
$919$	25.0903	−	12.0828i	0.827651	−	0.398576i	0.0284174	−	0.999596i	$-0.490953\pi$
$919$	25.0903	−	12.0828i	0.827651	−	0.398576i	0.799234	+	0.601020i	$0.205239\pi$
$920$	56.1190	+	19.6369i	1.85019	+	0.647409i
$921$	30.4588	−	5.40716i	1.00365	−	0.178172i
$922$	−5.40196	+	6.77385i	−0.177904	+	0.223085i
$923$	−22.2497	+	17.7436i	−0.732358	+	0.584036i
$924$	0.841593	+	0.235734i	0.0276864	+	0.00775508i
$925$	23.8682	−	37.9860i	0.784781	−	1.24897i
$926$	−30.7295	−	3.46238i	−1.00983	−	0.113781i
$927$	3.37405	−	34.5273i	0.110818	−	1.13402i
$928$	−13.9050	+	13.6693i	−0.456454	+	0.448715i
$929$			10.1343i			0.332496i	0.986084	+	0.166248i	$0.0531652\pi$
$929$			10.1343i			0.332496i	−0.986084	+	0.166248i	$0.946835\pi$
$930$	−8.16641	−	1.32548i	−0.267787	−	0.0434643i
$931$	9.86121	+	6.19621i	0.323188	+	0.203073i
$932$	2.04270	−	8.94967i	0.0669110	−	0.293156i
$933$	−16.2875	−	22.5992i	−0.533229	−	0.739864i
$934$	24.5850	+	19.6059i	0.804445	+	0.641524i
$935$	−37.1815	+	8.48644i	−1.21597	+	0.277536i
$936$	−13.2688	+	28.6284i	−0.433706	+	0.935749i
$937$	−13.6017	−	28.2442i	−0.444347	−	0.922697i	−0.996062	−	0.0886635i	$-0.971740\pi$
$937$	−13.6017	−	28.2442i	−0.444347	−	0.922697i	0.551714	−	0.834033i	$-0.313974\pi$
$938$	0.572466	+	0.911074i	0.0186917	+	0.0297476i
$939$	−38.7465	+	11.4736i	−1.26445	+	0.374427i
$940$	17.8302	+	17.8302i	0.581558	+	0.581558i
$941$	−27.6443	−	13.3128i	−0.901179	−	0.433985i	−0.0748645	−	0.997194i	$-0.523852\pi$
$941$	−27.6443	−	13.3128i	−0.901179	−	0.433985i	−0.826315	+	0.563209i	$0.809567\pi$
$942$	32.5376	−	2.06871i	1.06013	−	0.0674022i
$943$	−7.08235	+	0.797989i	−0.230633	+	0.0259861i
$944$	0.0257694	−	0.0535106i	0.000838721	−	0.00174162i
$945$	−1.97161	−	2.65206i	−0.0641365	−	0.0862716i
$946$	14.2102	+	40.6104i	0.462013	+	1.32036i
$947$	11.4050	−	7.16627i	0.370614	−	0.232872i	−0.333828	−	0.942634i	$-0.608340\pi$
$947$	11.4050	−	7.16627i	0.370614	−	0.232872i	0.704442	+	0.709762i	$0.251197\pi$
$948$	7.86747	−	3.32717i	0.255523	−	0.108062i
$949$	3.05969	−	8.74411i	0.0993219	−	0.283846i
$950$	−1.79382	−	7.85922i	−0.0581991	−	0.254987i
$951$	17.8736	+	15.7367i	0.579591	+	0.510297i
$952$	−1.41943	−	1.77991i	−0.0460041	−	0.0576873i
$953$	−10.8922	−	2.48608i	−0.352834	−	0.0805319i	0.0424307	−	0.999099i	$-0.486490\pi$
$953$	−10.8922	−	2.48608i	−0.352834	−	0.0805319i	−0.395264	+	0.918567i	$0.629347\pi$
$954$	19.3253	−	24.9822i	0.625679	−	0.808829i
$955$	−0.374642	+	3.32504i	−0.0121231	+	0.107596i
$956$	−6.62548			−0.214283
$957$	−16.1589	+	29.1577i	−0.522343	+	0.942536i
$958$	30.1459			0.973971
$959$	0.334653	−	2.97013i	0.0108065	−	0.0959104i
$960$	−25.7718	+	36.8970i	−0.831780	+	1.19084i
$961$	−28.3972	−	6.48147i	−0.916038	−	0.209080i
$962$	−26.3415	−	33.0312i	−0.849285	−	1.06497i
$963$	−30.4360	+	31.3497i	−0.980785	+	1.01023i
$964$	−1.67937	−	7.35782i	−0.0540890	−	0.236979i
$965$	16.4673	−	47.0607i	0.530100	−	1.51494i
$966$	1.03988	+	2.45890i	0.0334575	+	0.0791139i
$967$	−30.4465	+	19.1308i	−0.979092	+	0.615204i	−0.923642	−	0.383257i	$-0.874802\pi$
$967$	−30.4465	+	19.1308i	−0.979092	+	0.615204i	−0.0554503	+	0.998461i	$0.517659\pi$
$968$	−1.80350	−	5.15410i	−0.0579666	−	0.165659i
$969$	−7.56550	+	6.86222i	−0.243039	+	0.220446i
$970$	12.2366	−	25.4096i	0.392894	−	0.815854i
$971$	2.86213	−	0.322485i	0.0918501	−	0.0103490i	−0.0659198	−	0.997825i	$-0.520998\pi$
$971$	2.86213	−	0.322485i	0.0918501	−	0.0103490i	0.157770	+	0.987476i	$0.449570\pi$
$972$	10.3942	+	1.37298i	0.333395	+	0.0440384i
$973$	1.93123	+	0.930033i	0.0619125	+	0.0298155i
$974$	26.4977	+	26.4977i	0.849041	+	0.849041i
$975$	−7.02010	−	23.7070i	−0.224823	−	0.759230i
$976$	−6.37903	−	10.1522i	−0.204188	−	0.324963i
$977$	−10.5390	−	21.8845i	−0.337174	−	0.700148i	0.661590	−	0.749866i	$-0.269882\pi$
$977$	−10.5390	−	21.8845i	−0.337174	−	0.700148i	−0.998763	+	0.0497177i	$0.984168\pi$
$978$	−21.7328	−	8.81435i	−0.694939	−	0.281852i
$979$	−24.0606	+	5.49168i	−0.768981	+	0.175515i
$980$	11.0818	+	8.83745i	0.353996	+	0.282302i
$981$	−14.8581	−	22.8881i	−0.474382	−	0.730760i
$982$	−6.05348	+	26.5220i	−0.193174	+	0.846352i
$983$	0.590660	+	0.371137i	0.0188391	+	0.0118374i	0.541419	−	0.840753i	$-0.317887\pi$
$983$	0.590660	+	0.371137i	0.0188391	+	0.0118374i	−0.522580	+	0.852591i	$0.675030\pi$
$984$	0.955539	−	5.88716i	0.0304615	−	0.187676i
$985$			5.82711i			0.185667i
$986$	19.7691	−	9.31293i	0.629575	−	0.296584i
$987$	−0.219052	+	4.49387i	−0.00697250	+	0.143041i
$988$	3.82239	+	0.430680i	0.121606	+	0.0137017i
$989$	35.4290	−	56.3850i	1.12658	−	1.79294i
$990$	−11.8374	+	35.5048i	−0.376216	+	1.12842i
$991$	8.26077	−	6.58774i	0.262412	−	0.209267i	−0.483441	−	0.875377i	$-0.660613\pi$
$991$	8.26077	−	6.58774i	0.262412	−	0.209267i	0.745853	+	0.666110i	$0.232042\pi$
$992$	3.08924	−	3.87378i	0.0980833	−	0.122993i
$993$	2.27617	+	12.8218i	0.0722321	+	0.406887i
$994$	−1.90188	−	0.665496i	−0.0603239	−	0.0211082i
$995$	5.27747	−	2.54149i	0.167307	−	0.0805708i
$996$	0.639476	+	1.13710i	0.0202626	+	0.0360305i
$997$	10.2825	−	3.59799i	0.325649	−	0.113950i	−0.162503	−	0.986708i	$-0.551957\pi$
$997$	10.2825	−	3.59799i	0.325649	−	0.113950i	0.488152	+	0.872758i	$0.337671\pi$
$998$	−8.82646	+	8.82646i	−0.279397	+	0.279397i
$999$	−31.2624	+	46.1982i	−0.989098	+	1.46165i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	87.2.k.a.2.3	✓	96
3.2	odd	2	inner	87.2.k.a.2.6	yes	96
29.15	odd	28	inner	87.2.k.a.44.6	yes	96
87.44	even	28	inner	87.2.k.a.44.3	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
87.2.k.a.2.3	✓	96	1.1	even	1	trivial
87.2.k.a.2.6	yes	96	3.2	odd	2	inner
87.2.k.a.44.3	yes	96	87.44	even	28	inner
87.2.k.a.44.6	yes	96	29.15	odd	28	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 87 = 3 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	87.k (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.128998 + 1.14489i) q^{2} +(-1.41996 - 0.991816i) q^{3} +(0.655718 + 0.149663i) q^{4} +(1.88898 + 2.36870i) q^{5} +(1.31870 - 1.49776i) q^{6} +(-0.0467107 - 0.204653i) q^{7} +(-1.01699 + 2.90639i) q^{8} +(1.03260 + 2.81669i) q^{9} +(-2.95558 + 1.85712i) q^{10} +(-1.18041 - 3.37343i) q^{11} +(-0.782658 - 0.862869i) q^{12} +(1.48207 - 3.07756i) q^{13} +(0.240331 - 0.0270788i) q^{14} +(-0.332963 - 5.23699i) q^{15} +(-1.98436 - 0.955617i) q^{16} +(-2.49052 - 2.49052i) q^{17} +(-3.35801 + 0.818868i) q^{18} +(0.890780 + 1.41767i) q^{19} +(0.884129 + 1.83591i) q^{20} +(-0.136651 + 0.336929i) q^{21} +(4.01448 - 0.916279i) q^{22} +(-4.98279 - 3.97364i) q^{23} +(4.32669 - 3.11830i) q^{24} +(-0.929911 + 4.07421i) q^{25} +(3.33229 + 2.09382i) q^{26} +(1.32738 - 5.02375i) q^{27} -0.141186i q^{28} +(5.23971 + 1.24315i) q^{29} +(6.03874 + 0.294356i) q^{30} +(-1.35980 - 0.153213i) q^{31} +(-1.92639 + 3.06583i) q^{32} +(-1.66967 + 5.96090i) q^{33} +(3.17265 - 2.53010i) q^{34} +(0.396526 - 0.497228i) q^{35} +(0.255540 + 2.00150i) q^{36} +(-10.1328 - 3.54562i) q^{37} +(-1.73799 + 0.836970i) q^{38} +(-5.15687 + 2.90008i) q^{39} +(-8.80543 + 3.08115i) q^{40} +(0.790755 - 0.790755i) q^{41} +(-0.368119 - 0.199913i) q^{42} +(1.16988 + 10.3830i) q^{43} +(-0.269140 - 2.38868i) q^{44} +(-4.72134 + 7.76658i) q^{45} +(5.19217 - 5.19217i) q^{46} +(11.6801 - 4.08706i) q^{47} +(1.86992 + 3.32506i) q^{48} +(6.26708 - 3.01807i) q^{49} +(-4.54457 - 1.59021i) q^{50} +(1.06631 + 6.00659i) q^{51} +(1.43242 - 1.79620i) q^{52} +(-7.14433 + 5.69741i) q^{53} +(5.58042 + 2.16776i) q^{54} +(5.76087 - 9.16837i) q^{55} +(0.642305 + 0.0723704i) q^{56} +(0.141190 - 2.89653i) q^{57} +(-2.09919 + 5.83854i) q^{58} +0.0269662i q^{59} +(0.565456 - 3.48382i) q^{60} +(4.60945 + 2.89631i) q^{61} +(0.350825 - 1.53707i) q^{62} +(0.528210 - 0.342894i) q^{63} +(-6.70546 - 5.34743i) q^{64} +(10.0894 - 2.30285i) q^{65} +(-6.60920 - 2.68054i) q^{66} +(1.93035 + 4.00841i) q^{67} +(-1.26034 - 2.00582i) q^{68} +(3.13427 + 10.5845i) q^{69} +(0.518122 + 0.518122i) q^{70} +(-7.50627 - 3.61483i) q^{71} +(-9.23653 + 0.136596i) q^{72} +(2.69501 - 0.303655i) q^{73} +(5.36646 - 11.1436i) q^{74} +(5.36131 - 4.86293i) q^{75} +(0.371928 + 1.06291i) q^{76} +(-0.635244 + 0.399150i) q^{77} +(-2.65505 - 6.27816i) q^{78} +(-2.42181 + 6.92112i) q^{79} +(-1.48484 - 6.50549i) q^{80} +(-6.86747 + 5.81703i) q^{81} +(0.803323 + 1.00734i) q^{82} +(-1.09179 - 0.249194i) q^{83} +(-0.140030 + 0.200479i) q^{84} +(1.19476 - 10.6038i) q^{85} -12.0383 q^{86} +(-6.20723 - 6.96206i) q^{87} +11.0049 q^{88} +(0.773147 - 6.86187i) q^{89} +(-8.28286 - 6.40730i) q^{90} +(-0.699061 - 0.159556i) q^{91} +(-2.67260 - 3.35133i) q^{92} +(1.77892 + 1.56623i) q^{93} +(3.17252 + 13.8997i) q^{94} +(-1.67537 + 4.78793i) q^{95} +(5.77614 - 2.44274i) q^{96} +(-6.84115 + 4.29858i) q^{97} +(2.64692 + 7.56446i) q^{98} +(8.28299 - 6.80826i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{3} - 28 q^{4} - 14 q^{6} - 20 q^{7} - 14 q^{9} - 4 q^{10} - 8 q^{12} - 28 q^{13} - 16 q^{15} - 48 q^{16} - 28 q^{18} - 20 q^{19} + 26 q^{21} - 28 q^{22} + 58 q^{24} - 20 q^{25} + 36 q^{27}+ \cdots + 82 q^{99}+O(q^{100}) \) 96 * q - 12 * q^3 - 28 * q^4 - 14 * q^6 - 20 * q^7 - 14 * q^9 - 4 * q^10 - 8 * q^12 - 28 * q^13 - 16 * q^15 - 48 * q^16 - 28 * q^18 - 20 * q^19 + 26 * q^21 - 28 * q^22 + 58 * q^24 - 20 * q^25 + 36 * q^27 + 96 * q^30 - 32 * q^31 + 28 * q^33 - 28 * q^34 + 22 * q^36 - 4 * q^37 - 40 * q^39 - 48 * q^40 - 14 * q^42 - 32 * q^43 + 42 * q^45 + 120 * q^46 - 20 * q^48 + 4 * q^49 - 14 * q^51 + 72 * q^52 - 30 * q^54 + 148 * q^55 + 112 * q^58 + 20 * q^60 + 12 * q^61 - 14 * q^63 + 224 * q^64 - 32 * q^66 + 28 * q^67 + 10 * q^69 + 52 * q^70 - 44 * q^72 + 16 * q^73 - 144 * q^75 - 100 * q^76 - 102 * q^78 - 60 * q^79 - 146 * q^81 - 108 * q^82 - 64 * q^84 - 104 * q^85 - 70 * q^87 - 312 * q^88 - 96 * q^90 - 112 * q^91 - 70 * q^93 + 56 * q^94 - 168 * q^96 + 32 * q^97 + 82 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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