LMFDB - Embedded newform 87.2.k.a.2.6

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			2.6
Character	$\chi$	$=$	87.2
Dual form			87.2.k.a.44.6

$q$-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} +(-1.50970 - 0.849011i) q^{3} +(0.655718 + 0.149663i) q^{4} +(-1.88898 - 2.36870i) q^{5} +(-1.16677 + 1.61892i) q^{6} +(-0.0467107 - 0.204653i) q^{7} +(1.01699 - 2.90639i) q^{8} +(1.55836 + 2.56350i) q^{9} +(-2.95558 + 1.85712i) q^{10} +(1.18041 + 3.37343i) q^{11} +(-0.862869 - 0.782658i) q^{12} +(1.48207 - 3.07756i) q^{13} +(-0.240331 + 0.0270788i) q^{14} +(0.840725 + 5.17978i) q^{15} +(-1.98436 - 0.955617i) q^{16} +(2.49052 + 2.49052i) q^{17} +(3.13595 - 1.45347i) q^{18} +(0.890780 + 1.41767i) q^{19} +(-0.884129 - 1.83591i) q^{20} +(-0.103234 + 0.348622i) q^{21} +(4.01448 - 0.916279i) q^{22} +(4.98279 + 3.97364i) q^{23} +(-4.00290 + 3.52432i) q^{24} +(-0.929911 + 4.07421i) q^{25} +(-3.33229 - 2.09382i) q^{26} +(-0.176211 - 5.19316i) 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} +(1.08201 - 6.09503i) q^{33} +(3.17265 - 2.53010i) q^{34} +(-0.396526 + 0.497228i) q^{35} +(0.638184 + 1.91416i) q^{36} +(-10.1328 - 3.54562i) q^{37} +(1.73799 - 0.836970i) q^{38} +(-4.85036 + 3.38788i) q^{39} +(-8.80543 + 3.08115i) q^{40} +(-0.790755 + 0.790755i) q^{41} +(0.385817 + 0.163163i) q^{42} +(1.16988 + 10.3830i) q^{43} +(0.269140 + 2.38868i) q^{44} +(3.12845 - 8.53368i) q^{45} +(5.19217 - 5.19217i) q^{46} +(-11.6801 + 4.08706i) q^{47} +(2.18445 + 3.12743i) q^{48} +(6.26708 - 3.01807i) q^{49} +(4.54457 + 1.59021i) q^{50} +(-1.64545 - 5.87440i) q^{51} +(1.43242 - 1.79620i) q^{52} +(7.14433 - 5.69741i) q^{53} +(-5.96834 - 0.468167i) 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} +(-0.223945 + 3.52230i) q^{60} +(4.60945 + 2.89631i) q^{61} +(-0.350825 + 1.53707i) q^{62} +(0.451835 - 0.438666i) q^{63} +(-6.70546 - 5.34743i) q^{64} +(-10.0894 + 2.30285i) q^{65} +(-6.83857 - 2.02504i) q^{66} +(1.93035 + 4.00841i) q^{67} +(1.26034 + 2.00582i) q^{68} +(-4.14883 - 10.2294i) q^{69} +(0.518122 + 0.518122i) q^{70} +(7.50627 + 3.61483i) q^{71} +(9.03534 - 1.92215i) q^{72} +(2.69501 - 0.303655i) q^{73} +(-5.36646 + 11.1436i) q^{74} +(4.86293 - 5.36131i) q^{75} +(0.371928 + 1.06291i) q^{76} +(0.635244 - 0.399150i) q^{77} +(3.25307 + 5.99018i) q^{78} +(-2.42181 + 6.92112i) q^{79} +(1.48484 + 6.50549i) q^{80} +(-4.14303 + 7.98970i) q^{81} +(0.803323 + 1.00734i) q^{82} +(1.09179 + 0.249194i) q^{83} +(-0.119868 + 0.213147i) q^{84} +(1.19476 - 10.6038i) q^{85} +12.0383 q^{86} +(6.85492 + 6.32535i) q^{87} +11.0049 q^{88} +(-0.773147 + 6.86187i) q^{89} +(-9.36657 - 4.68257i) q^{90} +(-0.699061 - 0.159556i) q^{91} +(2.67260 + 3.35133i) q^{92} +(1.92281 + 1.38579i) q^{93} +(3.17252 + 13.8997i) q^{94} +(1.67537 - 4.78793i) q^{95} +(-5.51118 + 2.99294i) q^{96} +(-6.84115 + 4.29858i) q^{97} +(-2.64692 - 7.56446i) q^{98} +(-6.80826 + 8.28299i) 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	$-0.830741\pi$
$2$	0.128998	−	1.14489i	0.0912156	−	0.809561i	0.953141	−	0.302526i	$-0.0978299\pi$
$3$	−1.50970	−	0.849011i	−0.871623	−	0.490177i
$3$	−1.50970	−	0.849011i	−0.871623	−	0.490177i
$4$	0.655718	+	0.149663i	0.327859	+	0.0748317i
$5$	−1.88898	−	2.36870i	−0.844776	−	1.05932i	−0.997473	−	0.0710427i	$-0.977367\pi$
$5$	−1.88898	−	2.36870i	−0.844776	−	1.05932i	0.152697	−	0.988273i	$-0.451204\pi$
$6$	−1.16677	+	1.61892i	−0.476334	+	0.660920i
$7$	−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
$9$	1.55836	+	2.56350i	0.519453	+	0.854499i
$10$	−2.95558	+	1.85712i	−0.934637	+	0.587272i
$11$	1.18041	+	3.37343i	0.355908	+	1.01713i	0.973114	+	0.230324i	$0.0739787\pi$
$11$	1.18041	+	3.37343i	0.355908	+	1.01713i	−0.617206	+	0.786801i	$0.711736\pi$
$12$	−0.862869	−	0.782658i	−0.249089	−	0.225934i
$13$	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
$15$	0.840725	+	5.17978i	0.217074	+	1.33741i
$16$	−1.98436	−	0.955617i	−0.496090	−	0.238904i
$17$	2.49052	+	2.49052i	0.604039	+	0.604039i	0.941382	−	0.337343i	$-0.109528\pi$
$17$	2.49052	+	2.49052i	0.604039	+	0.604039i	−0.337343	+	0.941382i	$0.609528\pi$
$18$	3.13595	−	1.45347i	0.739151	−	0.342586i
$19$	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
$21$	−0.103234	+	0.348622i	−0.0225275	+	0.0760755i
$22$	4.01448	−	0.916279i	0.855890	−	0.195351i
$23$	4.98279	+	3.97364i	1.03898	+	0.828562i	0.985443	−	0.170003i	$-0.0543779\pi$
$23$	4.98279	+	3.97364i	1.03898	+	0.828562i	0.0535407	+	0.998566i	$0.482949\pi$
$24$	−4.00290	+	3.52432i	−0.817088	+	0.719399i
$25$	−0.929911	+	4.07421i	−0.185982	+	0.814841i
$26$	−3.33229	−	2.09382i	−0.653516	−	0.410631i
$27$	−0.176211	−	5.19316i	−0.0339119	−	0.999425i
$28$		−	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
$33$	1.08201	−	6.09503i	0.188354	−	1.06101i
$34$	3.17265	−	2.53010i	0.544105	−	0.433909i
$35$	−0.396526	+	0.497228i	−0.0670252	+	0.0840470i
$36$	0.638184	+	1.91416i	0.106364	+	0.319027i
$37$	−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
$39$	−4.85036	+	3.38788i	−0.776680	+	0.542495i
$40$	−8.80543	+	3.08115i	−1.39226	+	0.487173i
$41$	−0.790755	+	0.790755i	−0.123495	+	0.123495i	−0.766153	−	0.642658i	$-0.777832\pi$
$41$	−0.790755	+	0.790755i	−0.123495	+	0.123495i	0.642658	+	0.766153i	$0.277832\pi$
$42$	0.385817	+	0.163163i	0.0595329	+	0.0251766i
$43$	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
$45$	3.12845	−	8.53368i	0.466362	−	1.27213i
$46$	5.19217	−	5.19217i	0.765543	−	0.765543i
$47$	−11.6801	+	4.08706i	−1.70372	+	0.596158i	−0.994104	−	0.108428i	$-0.965418\pi$
$47$	−11.6801	+	4.08706i	−1.70372	+	0.596158i	−0.709618	+	0.704586i	$0.751133\pi$
$48$	2.18445	+	3.12743i	0.315298	+	0.451406i
$49$	6.26708	−	3.01807i	0.895297	−	0.431152i
$50$	4.54457	+	1.59021i	0.642699	+	0.224890i
$51$	−1.64545	−	5.87440i	−0.230409	−	0.822581i
$52$	1.43242	−	1.79620i	0.198641	−	0.249088i
$53$	7.14433	−	5.69741i	0.981349	−	0.782599i	0.00526300	−	0.999986i	$-0.498325\pi$
$53$	7.14433	−	5.69741i	0.981349	−	0.782599i	0.976086	+	0.217387i	$0.0697533\pi$
$54$	−5.96834	−	0.468167i	−0.812189	−	0.0637094i
$55$	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	$-0.999441\pi$
$59$		−	0.0269662i		−	0.00351070i	0.999998	−	0.00175535i	$-0.000558746\pi$
$60$	−0.223945	+	3.52230i	−0.0289112	+	0.454727i
$61$	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
$63$	0.451835	−	0.438666i	0.0569259	−	0.0552667i
$64$	−6.70546	−	5.34743i	−0.838183	−	0.668429i
$65$	−10.0894	+	2.30285i	−1.25144	+	0.285633i
$66$	−6.83857	−	2.02504i	−0.841770	−	0.249265i
$67$	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
$69$	−4.14883	−	10.2294i	−0.499460	−	1.23148i
$70$	0.518122	+	0.518122i	0.0619274	+	0.0619274i
$71$	7.50627	+	3.61483i	0.890831	+	0.429002i	0.822569	−	0.568666i	$-0.192540\pi$
$71$	7.50627	+	3.61483i	0.890831	+	0.429002i	0.0682623	+	0.997667i	$0.478255\pi$
$72$	9.03534	−	1.92215i	1.06483	−	0.226527i
$73$	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
$75$	4.86293	−	5.36131i	0.561523	−	0.619070i
$76$	0.371928	+	1.06291i	0.0426630	+	0.121924i
$77$	0.635244	−	0.399150i	0.0723927	−	0.0454874i
$78$	3.25307	+	5.99018i	0.368337	+	0.678254i
$79$	−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
$81$	−4.14303	+	7.98970i	−0.460337	+	0.887744i
$82$	0.803323	+	1.00734i	0.0887122	+	0.111242i
$83$	1.09179	+	0.249194i	0.119839	+	0.0273526i	0.282020	−	0.959409i	$-0.408996\pi$
$83$	1.09179	+	0.249194i	0.119839	+	0.0273526i	−0.162181	+	0.986761i	$0.551853\pi$
$84$	−0.119868	+	0.213147i	−0.0130787	+	0.0232563i
$85$	1.19476	−	10.6038i	0.129590	−	1.15015i
$86$	12.0383			1.29812
$87$	6.85492	+	6.32535i	0.734925	+	0.678149i
$88$	11.0049			1.17313
$89$	−0.773147	+	6.86187i	−0.0819534	+	0.727357i	0.883795	+	0.467875i	$0.154980\pi$
$89$	−0.773147	+	6.86187i	−0.0819534	+	0.727357i	−0.965748	+	0.259482i	$0.916448\pi$
$90$	−9.36657	−	4.68257i	−0.987323	−	0.493586i
$91$	−0.699061	−	0.159556i	−0.0732815	−	0.0167260i
$92$	2.67260	+	3.35133i	0.278638	+	0.349401i
$93$	1.92281	+	1.38579i	0.199386	+	0.143700i
$94$	3.17252	+	13.8997i	0.327220	+	1.43365i
$95$	1.67537	−	4.78793i	0.171889	−	0.491232i
$96$	−5.51118	+	2.99294i	−0.562482	+	0.305466i
$97$	−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
$99$	−6.80826	+	8.28299i	−0.684255	+	0.832472i
$100$	−1.21952	+	2.53236i	−0.121952	+	0.253236i
$101$	7.28220	−	0.820506i	0.724606	−	0.0816434i	0.258045	−	0.966133i	$-0.416922\pi$
$101$	7.28220	−	0.820506i	0.724606	−	0.0816434i	0.466560	+	0.884489i	$0.345493\pi$
$102$	−6.93782	+	1.12607i	−0.686946	+	0.111498i
$103$	−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
$105$	1.02079	−	0.414008i	0.0996186	−	0.0404031i
$106$	−5.60131	−	8.91444i	−0.544048	−	0.865847i
$107$	−6.31935	−	13.1223i	−0.610914	−	1.26858i	−0.945319	−	0.326147i	$-0.894249\pi$
$107$	−6.31935	−	13.1223i	−0.610914	−	1.26858i	0.334405	−	0.942430i	$-0.391465\pi$
$108$	0.661682	−	3.43163i	0.0636703	−	0.330208i
$109$	−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
$111$	12.2872	+	13.9557i	1.16625	+	1.32461i
$112$	−0.102879	+	0.450742i	−0.00972115	+	0.0425912i
$113$	4.15295	+	2.60947i	0.390677	+	0.245478i	0.713019	−	0.701145i	$-0.247327\pi$
$113$	4.15295	+	2.60947i	0.390677	+	0.245478i	−0.322342	+	0.946623i	$0.604470\pi$
$114$	−3.33443	−	0.212000i	−0.312298	−	0.0198556i
$115$		−	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
$120$	15.9094	+	2.82431i	1.45233	+	0.257823i
$121$	−1.38648	+	1.10568i	−0.126043	+	0.100516i
$122$	3.91057	−	4.90370i	0.354046	−	0.443960i
$123$	1.86516	−	0.522439i	0.168176	−	0.0471068i
$124$	−0.868719	−	0.303978i	−0.0780132	−	0.0272980i
$125$	−2.24109	+	1.07925i	−0.200449	+	0.0965313i
$126$	−0.443939	−	0.573890i	−0.0395492	−	0.0511262i
$127$	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
$129$	7.04911	−	16.6684i	0.620639	−	1.46757i
$130$	1.33499	+	11.8484i	0.117086	+	1.03917i
$131$	−1.37361	−	12.1911i	−0.120013	−	1.06515i	−0.898953	−	0.438046i	$-0.855671\pi$
$131$	−1.37361	−	12.1911i	−0.120013	−	1.06515i	0.778940	−	0.627099i	$-0.215758\pi$
$132$	1.62170	−	3.83468i	0.141151	−	0.333766i
$133$	0.248521	−	0.248521i	0.0215495	−	0.0215495i
$134$	4.83821	−	1.69296i	0.417958	−	0.146250i
$135$	−11.9682	+	10.2272i	−1.03006	+	0.880214i
$136$	9.77123	−	4.70558i	0.837876	−	0.403500i
$137$	−13.4396	−	4.70273i	−1.14822	−	0.401781i	−0.311953	−	0.950098i	$-0.600983\pi$
$137$	−13.4396	−	4.70273i	−1.14822	−	0.401781i	−0.836271	+	0.548317i	$0.815269\pi$
$138$	−12.2468	+	3.43038i	−1.04252	+	0.292014i
$139$	−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
$141$	21.1034	+	3.74636i	1.77723	+	0.315500i
$142$	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
$147$	−12.0238	−	0.764460i	−0.991703	−	0.0630516i
$148$	−6.11361	−	3.84144i	−0.502536	−	0.315764i
$149$	1.49410	−	6.54606i	0.122401	−	0.536274i	−0.876129	−	0.482077i	$-0.839883\pi$
$149$	1.49410	−	6.54606i	0.122401	−	0.536274i	0.998530	−	0.0541979i	$-0.0172602\pi$
$150$	−5.51081	−	6.25913i	−0.449955	−	0.511056i
$151$	−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
$153$	−2.50331	+	10.2656i	−0.202381	+	0.829921i
$154$	−0.375038	−	0.778775i	−0.0302215	−	0.0627555i
$155$	2.20572	+	3.51039i	0.177168	+	0.281961i
$156$	−3.68751	+	1.49557i	−0.295237	+	0.119742i
$157$	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
$159$	−15.6229	+	2.53574i	−1.23898	+	0.201097i
$160$	−10.9009	+	1.22824i	−0.861794	+	0.0971009i
$161$	0.580469	−	1.20536i	0.0457473	−	0.0949953i
$162$	8.61290	+	5.77398i	0.676693	+	0.453647i
$163$	−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
$165$	−16.4812	+	8.95040i	−1.28306	+	0.696788i
$166$	0.426139	−	1.21783i	0.0330748	−	0.0945223i
$167$	−0.545222	−	2.38877i	−0.0421906	−	0.184849i	0.949442	−	0.313943i	$-0.101650\pi$
$167$	−0.545222	−	2.38877i	−0.0421906	−	0.184849i	−0.991632	+	0.129094i	$0.958793\pi$
$168$	0.908241	+	0.654581i	0.0700723	+	0.0505020i
$169$	0.830537	+	1.04146i	0.0638875	+	0.0801123i
$170$	−11.9861	−	2.73575i	−0.919293	−	0.209823i
$171$	−2.24603	+	4.49275i	−0.171758	+	0.343569i
$172$	−0.786841	+	6.98340i	−0.0599960	+	0.532480i
$173$	−9.88473			−0.751522			−0.375761	−	0.926717i	$-0.622619\pi$
$173$	−9.88473			−0.751522			−0.375761	+	0.926717i	$0.622619\pi$
$174$	8.12612	−	7.03218i	0.616040	−	0.533108i
$175$	0.877235			0.0663128
$176$	0.881340	−	7.82211i	0.0664335	−	0.589613i
$177$	−0.0228946	+	0.0407108i	−0.00172086	+	0.00306001i
$178$	7.75637	+	1.77034i	0.581364	+	0.132693i
$179$	3.92735	+	4.92474i	0.293544	+	0.368092i	0.906632	−	0.421922i	$-0.138644\pi$
$179$	3.92735	+	4.92474i	0.293544	+	0.368092i	−0.613088	+	0.790014i	$0.710073\pi$
$180$	3.32856	−	5.12747i	0.248096	−	0.382179i
$181$	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
$183$	−4.49986	−	8.28601i	−0.332639	−	0.612520i
$184$	16.6164	−	10.4408i	1.22498	−	0.769704i
$185$	10.7421	+	30.6992i	0.789775	+	2.25705i
$186$	1.83463	−	2.02265i	0.134521	−	0.148308i
$187$	−5.46174	+	11.3414i	−0.399402	+	0.829366i
$188$	−8.27056	+	0.931868i	−0.603193	+	0.0679635i
$189$	−1.05457	+	0.278639i	−0.0767084	+	0.0202680i
$190$	−5.26555	−	2.53575i	−0.382003	−	0.183963i
$191$	−0.780952	−	0.780952i	−0.0565077	−	0.0565077i	0.678288	−	0.734796i	$-0.262722\pi$
$191$	−0.780952	−	0.780952i	−0.0565077	−	0.0565077i	−0.734796	+	0.678288i	$0.762722\pi$
$192$	5.58318	+	13.7660i	0.402931	+	0.993476i
$193$	−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
$195$	17.1871	+	5.08944i	1.23079	+	0.364462i
$196$	4.56113	−	1.04105i	0.325795	−	0.0743607i
$197$	−1.50373	−	1.19918i	−0.107136	−	0.0854383i	0.568456	−	0.822713i	$-0.307541\pi$
$197$	−1.50373	−	1.19918i	−0.107136	−	0.0854383i	−0.675593	+	0.737275i	$0.736112\pi$
$198$	8.60488	+	8.86321i	0.611522	+	0.629881i
$199$	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
$201$	0.488947	−	7.69037i	0.0344877	−	0.542437i
$202$		−	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
$207$	−2.42144	+	18.9657i	−0.168302	+	1.31821i
$208$	−5.88193	+	4.69069i	−0.407839	+	0.325241i
$209$	−3.73091	+	4.67841i	−0.258072	+	0.323613i
$210$	−0.342315	−	1.22210i	−0.0236220	−	0.0843327i
$211$	−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
$213$	−8.26316	−	11.8302i	−0.566182	−	0.810592i
$214$	−15.8388	+	5.54222i	−1.08272	+	0.378858i
$215$	22.3843	−	22.3843i	1.52660	−	1.52660i
$216$	−15.2725	−	4.76925i	−1.03916	−	0.324506i
$217$	0.0321619	+	0.285445i	0.00218329	+	0.0193773i
$218$	1.17336	+	10.4139i	0.0794701	+	0.705317i
$219$	−4.32646	−	1.82967i	−0.292355	−	0.123638i
$220$	5.14968	−	5.14968i	0.347191	−	0.347191i
$221$	11.3559	−	3.97359i	0.763877	−	0.267292i
$222$	17.5627	−	12.2672i	1.17873	−	0.823322i
$223$	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
$225$	−11.8933	+	3.96526i	−0.792890	+	0.264350i
$226$	3.52329	−	4.41806i	0.234366	−	0.293885i
$227$	−15.9139	+	12.6909i	−1.05625	+	0.842328i	−0.987862	−	0.155332i	$-0.950355\pi$
$227$	−15.9139	+	12.6909i	−1.05625	+	0.842328i	−0.0683830	+	0.997659i	$0.521784\pi$
$228$	0.340924	−	1.92044i	0.0225782	−	0.127184i
$229$	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	$0.147535\pi$
$233$			13.6487i			0.894153i	−0.894496	+	0.447076i	$0.852465\pi$
$234$	0.174584	−	11.8052i	0.0114129	−	0.771732i
$235$	31.7445	+	19.9464i	2.07078	+	1.30116i
$236$	0.00403586	−	0.0176822i	0.000262712	−	0.00115102i
$237$	9.53230	−	8.39265i	0.619189	−	0.545161i
$238$	−0.665990	−	0.531109i	−0.0431697	−	0.0344267i
$239$	9.60385	−	2.19202i	0.621221	−	0.141790i	0.0996853	−	0.995019i	$-0.468216\pi$
$239$	9.60385	−	2.19202i	0.621221	−	0.141790i	0.521536	+	0.853229i	$0.325359\pi$
$240$	3.28158	−	11.0820i	0.211825	−	0.715337i
$241$	−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
$243$	13.0381	−	8.54454i	0.836392	−	0.548132i
$244$	2.58903	+	2.58903i	0.165745	+	0.165745i
$245$	−18.9873	−	9.14379i	−1.21305	−	0.584175i
$246$	−0.357534	−	2.20280i	−0.0227955	−	0.140445i
$247$	5.68316	−	0.640339i	0.361611	−	0.0407438i
$248$	−1.82820	+	3.79630i	−0.116091	+	0.241065i
$249$	−1.43670	−	1.30315i	−0.0910472	−	0.0825836i
$250$	0.946531	+	2.70503i	0.0598639	+	0.171081i
$251$	11.1029	−	6.97644i	0.700811	−	0.440349i	−0.133930	−	0.990991i	$-0.542760\pi$
$251$	11.1029	−	6.97644i	0.700811	−	0.440349i	0.834742	+	0.550642i	$0.185617\pi$
$252$	0.361929	−	0.220018i	0.0227994	−	0.0138598i
$253$	−7.52304	+	21.4996i	−0.472970	+	1.35167i
$254$	−1.38236	−	6.05652i	−0.0867371	−	0.380020i
$255$	−10.8065	+	14.9942i	−0.676729	+	0.938972i
$256$	−8.79856	−	11.0331i	−0.549910	−	0.689566i
$257$	−18.5315	−	4.22969i	−1.15596	−	0.263841i	−0.398782	−	0.917046i	$-0.630567\pi$
$257$	−18.5315	−	4.22969i	−1.15596	−	0.263841i	−0.757181	+	0.653205i	$0.773424\pi$
$258$	−18.1742	−	10.2207i	−1.13148	−	0.636311i
$259$	−0.252311	+	2.23933i	−0.0156779	+	0.139145i
$260$	−6.96047			−0.431670
$261$	−4.97855	−	15.3693i	−0.308164	−	0.951333i
$262$	−14.1347			−0.873247
$263$	2.22186	−	19.7195i	0.137006	−	1.21596i	−0.717516	−	0.696542i	$-0.754721\pi$
$263$	2.22186	−	19.7195i	0.137006	−	1.21596i	0.854522	−	0.519416i	$-0.173850\pi$
$264$	−16.6141	−	9.34332i	−1.02253	−	0.575041i
$265$	−26.9909	−	6.16050i	−1.65804	−	0.378437i
$266$	−0.252471	−	0.316589i	−0.0154800	−	0.0194113i
$267$	6.99302	−	9.70292i	0.427966	−	0.593809i
$268$	0.665853	+	2.91729i	0.0406734	+	0.178202i
$269$	−4.92428	+	14.0728i	−0.300238	+	0.858032i	0.690631	+	0.723207i	$0.257333\pi$
$269$	−4.92428	+	14.0728i	−0.300238	+	0.858032i	−0.990869	+	0.134825i	$0.956953\pi$
$270$	10.1651	+	15.0216i	0.618629	+	0.914184i
$271$	−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
$273$	0.919904	+	0.834391i	0.0556751	+	0.0504997i
$274$	−7.11780	+	14.7803i	−0.430002	+	0.892909i
$275$	−14.8417	+	1.67226i	−0.894989	+	0.100841i
$276$	−1.18949	−	7.32856i	−0.0715989	−	0.441127i
$277$	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
$279$	−1.72630	−	3.72462i	−0.103351	−	0.222987i
$280$	1.04187	+	1.65813i	0.0622639	+	0.0990925i
$281$	11.1644	+	23.1832i	0.666013	+	1.38299i	0.910570	+	0.413356i	$0.135643\pi$
$281$	11.1644	+	23.1832i	0.666013	+	1.38299i	−0.244556	+	0.969635i	$0.578642\pi$
$282$	7.01148	−	23.6778i	0.417527	−	1.40999i
$283$	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
$285$	−6.59431	+	5.80591i	−0.390613	+	0.343913i
$286$	3.12986	−	13.7128i	0.185072	−	0.810855i
$287$	0.198767	+	0.124894i	0.0117329	+	0.00737224i
$288$	10.8612	+	0.160624i	0.640005	+	0.00946485i
$289$		−	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	−0.502818	−	0.864392i	$-0.667703\pi$
$293$	8.45827	−	13.4613i	0.494137	−	0.786415i	0.996955	+	0.0779774i	$0.0248462\pi$
$294$	−2.42627	+	13.6673i	−0.141503	+	0.797093i
$295$	−0.0638749	+	0.0509385i	−0.00371894	+	0.00296576i
$296$	−20.6099	+	25.8440i	−1.19792	+	1.50215i
$297$	17.3107	−	6.72451i	1.00447	−	0.390196i
$298$	−7.30180	−	2.55501i	−0.422982	−	0.148008i
$299$	19.6140	−	9.44561i	1.13431	−	0.546254i
$300$	3.99110	−	2.78770i	0.230426	−	0.160948i
$301$	2.07026	−	0.724417i	0.119328	−	0.0417547i
$302$	−5.19692	+	5.19692i	−0.299049	+	0.299049i
$303$	−11.6905	−	4.94395i	−0.671603	−	0.284023i
$304$	−0.412879	−	3.66441i	−0.0236803	−	0.210168i
$305$	−1.84665	−	16.3895i	−0.105739	−	0.938458i
$306$	11.4300	+	4.19026i	0.653412	+	0.239541i
$307$	−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
$309$	11.4693	+	16.4204i	0.652464	+	0.934121i
$310$	4.30355	−	2.07248i	0.244425	−	0.117709i
$311$	−15.1806	−	5.31194i	−0.860815	−	0.301212i	−0.136465	−	0.990645i	$-0.543574\pi$
$311$	−15.1806	−	5.31194i	−0.860815	−	0.301212i	−0.724350	+	0.689433i	$0.757860\pi$
$312$	4.91372	+	17.5425i	0.278185	+	0.993146i
$313$	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
$315$	−1.89257	−	0.241633i	−0.106634	−	0.0136145i
$316$	−2.62386	+	4.17585i	−0.147604	+	0.234910i
$317$	13.6626	+	1.53940i	0.767367	+	0.0864615i	0.486965	−	0.873421i	$-0.338104\pi$
$317$	13.6626	+	1.53940i	0.767367	+	0.0864615i	0.280402	+	0.959883i	$0.409532\pi$
$318$	0.887818	+	18.2137i	0.0497863	+	1.02137i
$319$	−1.99135	−	19.1432i	−0.111494	−	1.07181i
$320$			25.9844i			1.45257i
$321$	−1.60066	+	25.1758i	−0.0893399	+	1.40518i
$322$	−1.30512	−	0.820063i	−0.0727316	−	0.0457003i
$323$	−1.31222	+	5.74923i	−0.0730141	+	0.319896i
$324$	−3.91243	+	4.61893i	−0.217357	+	0.256607i
$325$	11.1604	+	8.90014i	0.619069	+	0.493691i
$326$	−13.2007	+	3.01297i	−0.731119	+	0.166873i
$327$	15.1062	+	4.47326i	0.835377	+	0.247372i
$328$	1.49405	+	3.10243i	0.0824951	+	0.171303i
$329$	1.38202	+	2.19947i	0.0761930	+	0.121260i
$330$	8.12120	+	20.0238i	0.447057	+	1.10227i
$331$	−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
$333$	−6.70136	−	31.5007i	−0.367232	−	1.72623i
$334$	−2.80522	+	0.316073i	−0.153495	+	0.0172947i
$335$	5.84834	−	12.1442i	0.319529	−	0.663509i
$336$	0.538001	−	0.593138i	0.0293504	−	0.0323583i
$337$	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
$339$	−4.05422	−	7.46541i	−0.220195	−	0.405465i
$340$	2.37043	−	6.77431i	0.128555	−	0.367389i
$341$	−1.08828	−	4.76805i	−0.0589335	−	0.258205i
$342$	4.85398	+	3.15102i	0.262473	+	0.170388i
$343$	−1.82656	−	2.29043i	−0.0986250	−	0.123672i
$344$	31.3667	+	7.15925i	1.69118	+	0.386001i
$345$	−16.3935	+	29.1505i	−0.882594	+	1.56941i
$346$	−1.27511	+	11.3169i	−0.0685505	+	0.608403i
$347$	−33.8811			−1.81883			−0.909415	−	0.415889i	$-0.863470\pi$
$347$	−33.8811			−1.81883			−0.909415	+	0.415889i	$0.863470\pi$
$348$	3.54822	+	5.17358i	0.190205	+	0.277333i
$349$	−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
$351$	−16.2434	−	7.15436i	−0.867010	−	0.381871i
$352$	12.6163	+	2.87958i	0.672449	+	0.153482i
$353$	13.5908	+	17.0424i	0.723367	+	0.907074i	0.998523	−	0.0543256i	$-0.0173009\pi$
$353$	13.5908	+	17.0424i	0.723367	+	0.907074i	−0.275156	+	0.961400i	$0.588729\pi$
$354$	0.0436561	+	0.0314635i	0.00232029	+	0.00167227i
$355$	−5.61672	−	24.6085i	−0.298105	−	1.30608i
$356$	−1.53394	+	4.38374i	−0.0812986	+	0.232338i
$357$	−1.12535	+	0.611143i	−0.0595600	+	0.0323451i
$358$	6.14491	−	3.86111i	0.324769	−	0.204066i
$359$	−8.26518	−	23.6205i	−0.436220	−	1.24664i	−0.926901	−	0.375305i	$-0.877538\pi$
$359$	−8.26518	−	23.6205i	−0.436220	−	1.24664i	0.490681	−	0.871339i	$-0.336748\pi$
$360$	−21.6205	−	17.7711i	−1.13950	−	0.936621i
$361$	7.02750	−	14.5927i	0.369868	−	0.768039i
$362$	10.3155	−	1.16227i	0.542168	−	0.0610877i
$363$	3.03189	−	0.492103i	0.159133	−	0.0258287i
$364$	−0.434507	−	0.209248i	−0.0227744	−	0.0109676i
$365$	−5.81009	−	5.81009i	−0.304114	−	0.304114i
$366$	−10.0671	+	4.08297i	−0.526214	+	0.213421i
$367$	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
$369$	−3.25938	−	0.794817i	−0.169676	−	0.0413765i
$370$	36.5329	−	8.33841i	1.89926	−	0.433493i
$371$	−1.49971	−	1.19598i	−0.0778610	−	0.0620921i
$372$	1.05342	+	1.19647i	0.0546173	+	0.0620339i
$373$	−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
$375$	4.29966	+	0.273369i	0.222034	+	0.0141167i
$376$			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
$381$	−9.19538	−	1.63240i	−0.471094	−	0.0836304i
$382$	−0.994848	+	0.793365i	−0.0509008	+	0.0405921i
$383$	4.55026	−	5.70584i	0.232507	−	0.291555i	−0.651867	−	0.758333i	$-0.726014\pi$
$383$	4.55026	−	5.70584i	0.232507	−	0.291555i	0.884374	+	0.466778i	$0.154585\pi$
$384$	4.40282	−	1.23325i	0.224681	−	0.0629340i
$385$	−2.14543	−	0.750718i	−0.109341	−	0.0382601i
$386$	−17.0827	+	8.22660i	−0.869487	+	0.418723i
$387$	−24.7937	+	19.1794i	−1.26033	+	0.974945i
$388$	−5.12921	+	1.79479i	−0.260396	+	0.0911165i
$389$	4.56253	−	4.56253i	0.231329	−	0.231329i	−0.581918	−	0.813247i	$-0.697698\pi$
$389$	4.56253	−	4.56253i	0.231329	−	0.231329i	0.813247	+	0.581918i	$0.197698\pi$
$390$	8.04397	−	19.0209i	0.407322	−	0.963158i
$391$	2.51330	+	22.3062i	0.127103	+	1.12807i
$392$	−2.39812	−	21.2839i	−0.121123	−	1.07500i
$393$	−8.27668	+	19.5711i	−0.417503	+	0.987232i
$394$	−1.56691	+	1.56691i	−0.0789400	+	0.0789400i
$395$	20.9688	−	7.33730i	1.05506	−	0.369180i
$396$	−5.70396	+	4.41236i	−0.286635	+	0.221730i
$397$	−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
$399$	−0.586188	+	0.164194i	−0.0293461	+	0.00821998i
$400$	5.73866	−	7.19605i	0.286933	−	0.359802i
$401$	−0.406748	+	0.324371i	−0.0203120	+	0.0161983i	−0.633593	−	0.773666i	$-0.718421\pi$
$401$	−0.406748	+	0.324371i	−0.0203120	+	0.0161983i	0.613281	+	0.789865i	$0.289849\pi$
$402$	−8.74157	−	1.55184i	−0.435990	−	0.0773985i
$403$	−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
$408$	−18.7467	−	1.19190i	−0.928099	−	0.0590077i
$409$	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
$411$	16.2971	+	18.5101i	0.803875	+	0.913034i
$412$	−6.08083	−	4.84930i	−0.299581	−	0.238908i
$413$	−0.00551872	+	0.00125961i	−0.000271558	+	6.19814e-5i
$414$	21.4014	+	5.21884i	1.05182	+	0.256492i
$415$	−1.47210	−	3.05684i	−0.0722625	−	0.150055i
$416$	−6.58022	−	10.4724i	−0.322622	−	0.513449i
$417$	16.3897	−	6.64730i	0.802608	−	0.325520i
$418$	4.87500	+	4.87500i	0.238444	+	0.238444i
$419$	17.0012	+	8.18735i	0.830564	+	0.399978i	0.800326	−	0.599564i	$-0.204659\pi$
$419$	17.0012	+	8.18735i	0.830564	+	0.399978i	0.0302371	+	0.999543i	$0.490374\pi$
$420$	0.731310	−	0.118698i	0.0356843	−	0.00579188i
$421$	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
$423$	−28.6790	−	23.5729i	−1.39442	−	1.14615i
$424$	−9.29317	−	26.5584i	−0.451316	−	1.28979i
$425$	−12.4628	+	7.83092i	−0.604537	+	0.379856i
$426$	−14.6102	+	7.93434i	−0.707869	+	0.384420i
$427$	0.377427	−	1.07863i	0.0182650	−	0.0521983i
$428$	−2.17979	−	9.55028i	−0.105364	−	0.461630i
$429$	−17.1542	−	12.3632i	−0.828212	−	0.596903i
$430$	−22.7401	−	28.5152i	−1.09662	−	1.37512i
$431$	−2.26048	−	0.515941i	−0.108884	−	0.0248520i	0.167732	−	0.985833i	$-0.446356\pi$
$431$	−2.26048	−	0.515941i	−0.108884	−	0.0248520i	−0.276616	+	0.960981i	$0.589213\pi$
$432$	−4.61301	+	10.4735i	−0.221943	+	0.503906i
$433$	−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
$435$	2.03409	−	28.1857i	0.0975271	−	1.35140i
$436$	−6.11776			−0.292988
$437$	−1.19474	+	10.6036i	−0.0571521	+	0.507239i
$438$	−2.65288	+	4.71730i	−0.126760	+	0.225401i
$439$	−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
$441$	17.5032	+	11.3624i	0.833484	+	0.541067i
$442$	−3.08444	−	13.5138i	−0.146712	−	0.642787i
$443$	3.28356	−	9.38387i	0.156007	−	0.445841i	−0.839178	−	0.543856i	$-0.816964\pi$
$443$	3.28356	−	9.38387i	0.156007	−	0.445841i	0.995185	+	0.0980151i	$0.0312493\pi$
$444$	5.96827	+	10.9899i	0.283241	+	0.521559i
$445$	17.7142	−	11.1306i	0.839733	−	0.527639i
$446$	−4.14536	−	11.8468i	−0.196289	−	0.560960i
$447$	−7.81331	+	8.61406i	−0.369557	+	0.407431i
$448$	−0.781150	+	1.62208i	−0.0369059	+	0.0766359i
$449$	11.7589	−	1.32491i	0.554936	−	0.0625263i	0.169957	−	0.985452i	$-0.445637\pi$
$449$	11.7589	−	1.32491i	0.554936	−	0.0625263i	0.384979	+	0.922925i	$0.374209\pi$
$450$	3.00557	+	14.1281i	0.141684	+	0.666006i
$451$	−3.60097	−	1.73414i	−0.169563	−	0.0816573i
$452$	2.33262	+	2.33262i	0.109717	+	0.109717i
$453$	4.15263	+	10.2388i	0.195108	+	0.481061i
$454$	12.4769	+	19.8569i	0.585569	+	0.931928i
$455$	0.942569	+	1.95726i	0.0441883	+	0.0917580i
$456$	−8.56202	−	2.53538i	−0.400953	−	0.118730i
$457$	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
$459$	12.4948	−	13.3725i	0.583208	−	0.624176i
$460$	2.88983	−	12.6612i	0.134739	−	0.590331i
$461$	−6.36737	−	4.00088i	−0.296558	−	0.186340i	0.375532	−	0.926810i	$-0.377460\pi$
$461$	−6.36737	−	4.00088i	−0.296558	−	0.186340i	−0.672090	+	0.740470i	$0.734603\pi$
$462$	−0.0949952	+	1.49413i	−0.00441958	+	0.0695130i
$463$			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	$0.396127\pi$
$467$	−14.5208	+	23.1097i	−0.671943	+	1.06939i	−0.992510	+	0.122165i	$0.961016\pi$
$468$	6.83678	+	0.872882i	0.316030	+	0.0403490i
$469$	0.730165	−	0.582287i	0.0337159	−	0.0268875i
$470$	26.9315	−	33.7710i	1.24226	−	1.55774i
$471$	−7.63265	−	27.2493i	−0.351694	−	1.25558i
$472$	−0.0783742	−	0.0274243i	−0.00360746	−	0.00126231i
$473$	−33.6453	+	16.2027i	−1.54701	+	0.745002i
$474$	−8.37902	−	11.9961i	−0.384861	−	0.550999i
$475$	−6.60422	+	2.31092i	−0.303022	+	0.106032i
$476$	0.351625	−	0.351625i	0.0161167	−	0.0161167i
$477$	25.7387	+	9.43584i	1.17849	+	0.432037i
$478$	−1.27074	−	11.2781i	−0.0581223	−	0.515850i
$479$	2.92958	+	26.0007i	0.133856	+	1.18800i	0.863562	+	0.504243i	$0.168228\pi$
$479$	2.92958	+	26.0007i	0.133856	+	1.18800i	−0.729706	+	0.683761i	$0.760343\pi$
$480$	17.4999	+	7.40074i	0.798756	+	0.337796i
$481$	−25.9294	+	25.9294i	−1.18228	+	1.18228i
$482$	−12.2026	+	4.26989i	−0.555815	+	0.194488i
$483$	−1.89969	+	1.32690i	−0.0864389	+	0.0603758i
$484$	−1.07462	+	0.517509i	−0.0488463	+	0.0235231i
$485$	23.1048	+	8.08473i	1.04914	+	0.367109i
$486$	−8.10068	−	16.0294i	−0.367454	−	0.727108i
$487$	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
$489$	−3.55795	+	20.0421i	−0.160896	+	0.906335i
$490$	−12.9180	+	20.5588i	−0.583575	+	0.928754i
$491$	−23.4634	−	2.64369i	−1.05889	−	0.119308i	−0.434695	−	0.900578i	$-0.643144\pi$
$491$	−23.4634	−	2.64369i	−1.05889	−	0.119308i	−0.624193	+	0.781270i	$0.714572\pi$
$492$	1.30121	−	0.0634269i	0.0586630	−	0.00285951i
$493$	−9.95351	−	16.1457i	−0.448284	−	0.727165i
$494$		−	6.58921i		−	0.296463i
$495$	32.4806	+	0.480346i	1.45989	+	0.0215900i
$496$	2.55193	+	1.60348i	0.114585	+	0.0719985i
$497$	0.389163	−	1.70503i	0.0174563	−	0.0764812i
$498$	−1.67730	+	1.47676i	−0.0751614	+	0.0661753i
$499$	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
$501$	−1.20498	+	4.06922i	−0.0538344	+	0.181799i
$502$	−6.55501	−	13.6116i	−0.292564	−	0.607516i
$503$	14.6351	+	23.2917i	0.652548	+	1.03852i	0.995085	+	0.0990195i	$0.0315706\pi$
$503$	14.6351	+	23.2917i	0.652548	+	1.03852i	−0.342538	+	0.939504i	$0.611287\pi$
$504$	−0.815421	−	1.75932i	−0.0363217	−	0.0783666i
$505$	−15.6994	−	15.6994i	−0.698616	−	0.698616i
$506$	23.6443	+	11.3865i	1.05112	+	0.506191i
$507$	−0.369646	−	2.27742i	−0.0164166	−	0.101144i
$508$	3.60373	−	0.406043i	0.159890	−	0.0180152i
$509$	−1.80735	+	3.75301i	−0.0801095	+	0.166349i	−0.937176	−	0.348856i	$-0.886570\pi$
$509$	−1.80735	+	3.75301i	−0.0801095	+	0.166349i	0.857067	+	0.515205i	$0.172284\pi$
$510$	15.7727	+	14.3065i	0.698427	+	0.633502i
$511$	−0.188030	−	0.537359i	−0.00831795	−	0.0237713i
$512$	−18.2370	+	11.4591i	−0.805971	+	0.506425i
$513$	7.20522	−	4.87578i	0.318118	−	0.215271i
$514$	−7.23308	+	20.6709i	−0.319037	+	0.911756i
$515$	7.79602	+	34.1566i	0.343534	+	1.50512i
$516$	7.11688	−	9.87478i	0.313303	−	0.434713i
$517$	−27.5748	−	34.5776i	−1.21274	−	1.52072i
$518$	2.53124	+	0.577739i	0.111216	+	0.0253844i
$519$	14.9229	+	8.39225i	0.655044	+	0.368379i
$520$	−3.56787	+	31.6657i	−0.156461	+	1.38863i
$521$	30.0073			1.31464			0.657321	−	0.753611i	$-0.271690\pi$
$521$	30.0073			1.31464			0.657321	+	0.753611i	$0.271690\pi$
$522$	−18.2384	+	3.71729i	−0.798272	+	0.162701i
$523$	−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
$525$	−1.32436	−	0.744783i	−0.0577997	−	0.0325050i
$526$	−22.2901	−	5.08757i	−0.971895	−	0.221829i
$527$	−3.00504	−	3.76820i	−0.130902	−	0.164145i
$528$	−7.97161	+	11.0607i	−0.346920	+	0.481356i
$529$	3.92039	+	17.1764i	0.170452	+	0.746798i
$530$	−10.5349	+	30.1070i	−0.457607	+	1.30776i
$531$	0.0691278	−	0.0420231i	0.00299989	−	0.00182365i
$532$	0.200154	−	0.125765i	0.00867779	−	0.00545262i
$533$	1.26164	+	3.60555i	0.0546476	+	0.156174i
$534$	−10.2067	−	9.25792i	−0.441688	−	0.400629i
$535$	−19.1456	+	39.7563i	−0.827737	+	1.71881i
$536$	13.6131	−	1.53383i	0.587997	−	0.0662514i
$537$	−1.74794	−	10.7692i	−0.0754292	−	0.464726i
$538$	15.4766	+	7.45313i	0.667243	+	0.321327i
$539$	17.5790	+	17.5790i	0.757180	+	0.757180i
$540$	−9.37840	+	4.91493i	−0.403582	+	0.211505i
$541$	−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
$543$	4.43098	−	14.9635i	0.190152	−	0.642144i
$544$	12.4332	−	2.83780i	0.533069	−	0.121670i
$545$	21.5456	+	17.1820i	0.922912	+	0.735997i
$546$	1.07395	−	0.945555i	0.0459610	−	0.0404660i
$547$	−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
$549$	−0.241497	+	16.3298i	−0.0103068	+	0.696938i
$550$			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
$555$	9.84663	−	55.4665i	0.417966	−	2.35442i
$556$	−5.36954	+	4.28207i	−0.227719	+	0.181600i
$557$	−0.590656	+	0.740660i	−0.0250269	+	0.0313828i	−0.794187	−	0.607673i	$-0.792103\pi$
$557$	−0.590656	+	0.740660i	−0.0250269	+	0.0313828i	0.769161	+	0.639056i	$0.220675\pi$
$558$	−4.48697	+	1.49596i	−0.189949	+	0.0633291i
$559$	33.6881	+	11.7880i	1.42486	+	0.498579i
$560$	1.26201	−	0.607752i	0.0533297	−	0.0256822i
$561$	17.8745	−	12.4850i	0.754664	−	0.527117i
$562$	27.9824	−	9.79147i	1.18037	−	0.413028i
$563$	−31.0197	+	31.0197i	−1.30732	+	1.30732i	−0.383985	+	0.923339i	$0.625449\pi$
$563$	−31.0197	+	31.0197i	−1.30732	+	1.30732i	−0.923339	+	0.383985i	$0.874551\pi$
$564$	13.2772	+	5.61496i	0.559071	+	0.236433i
$565$	−1.66377	−	14.7663i	−0.0699951	−	0.621224i
$566$	−0.624213	−	5.54004i	−0.0262376	−	0.232865i
$567$	1.82864	+	0.474679i	0.0767957	+	0.0199346i
$568$	18.1399	−	18.1399i	0.761133	−	0.761133i
$569$	−17.3208	+	6.06079i	−0.726124	+	0.254082i	−0.667931	−	0.744224i	$-0.732820\pi$
$569$	−17.3208	+	6.06079i	−0.726124	+	0.254082i	−0.0581933	+	0.998305i	$0.518534\pi$
$570$	5.79649	+	8.29873i	0.242788	+	0.347595i
$571$	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
$573$	0.515963	+	1.84204i	0.0215547	+	0.0769522i
$574$	0.168630	−	0.211456i	0.00703850	−	0.00882599i
$575$	−20.8230	+	16.6058i	−0.868379	+	0.692509i
$576$	3.25859	−	25.5227i	0.135775	−	1.06344i
$577$	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
$582$	1.02303	−	16.0907i	0.0424062	−	0.666982i
$583$	27.6530	+	17.3756i	1.14527	+	0.719622i
$584$	1.85826	−	8.14156i	0.0768953	−	0.336900i
$585$	−21.6263	−	22.2755i	−0.894137	−	0.920981i
$586$	−14.3206	−	11.4203i	−0.591578	−	0.471768i
$587$	−8.11115	+	1.85132i	−0.334783	+	0.0764121i	−0.386608	−	0.922244i	$-0.626353\pi$
$587$	−8.11115	+	1.85132i	−0.334783	+	0.0764121i	0.0518249	+	0.998656i	$0.483496\pi$
$588$	−7.76979	−	2.30079i	−0.320421	−	0.0948829i
$589$	−0.994082	−	2.06423i	−0.0409604	−	0.0850552i
$590$	0.0500794	+	0.0797009i	0.00206174	+	0.00328123i
$591$	1.25205	+	3.08708i	0.0515025	+	0.126986i
$592$	16.7188	+	16.7188i	0.687140	+	0.687140i
$593$	−31.3582	−	15.1013i	−1.28773	−	0.620136i	−0.340361	−	0.940295i	$-0.610549\pi$
$593$	−31.3582	−	15.1013i	−1.28773	−	0.620136i	−0.947364	+	0.320159i	$0.896264\pi$
$594$	−5.46578	−	20.6864i	−0.224264	−	0.848773i
$595$	−2.22591	+	0.250800i	−0.0912535	+	0.0102818i
$596$	1.95941	−	4.06876i	0.0802607	−	0.166663i
$597$	−2.24981	+	2.48038i	−0.0920786	+	0.101515i
$598$	−8.28403	−	23.6744i	−0.338759	−	0.968118i
$599$	−0.785728	+	0.493705i	−0.0321040	+	0.0201723i	−0.547988	−	0.836486i	$-0.684606\pi$
$599$	−0.785728	+	0.493705i	−0.0321040	+	0.0201723i	0.515884	+	0.856658i	$0.327463\pi$
$600$	−10.6365	−	19.5859i	−0.434232	−	0.799592i
$601$	−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
$603$	−7.26737	+	11.1950i	−0.295950	+	0.455895i
$604$	−2.67505	−	3.35440i	−0.108846	−	0.136489i
$605$	5.23805	+	1.19555i	0.212957	+	0.0486060i
$606$	−7.16835	+	12.7466i	−0.291194	+	0.517796i
$607$	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
$609$	0.974304	−	1.69834i	0.0394808	−	0.0688203i
$610$	−19.0024			−0.769384
$611$	−4.73267	+	42.0036i	−0.191463	+	1.69929i
$612$	−3.17785	+	6.35666i	−0.128457	+	0.256953i
$613$	−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
$615$	−4.76074	−	3.43113i	−0.191972	−	0.138357i
$616$	−0.514049	−	2.25219i	−0.0207116	−	0.0907435i
$617$	14.2586	−	40.7488i	0.574031	−	1.64049i	−0.180015	−	0.983664i	$-0.557615\pi$
$617$	14.2586	−	40.7488i	0.574031	−	1.64049i	0.754046	−	0.656822i	$-0.228100\pi$
$618$	20.2791	−	11.0129i	0.815743	−	0.443003i
$619$	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
$621$	19.7578	−	26.5767i	0.792852	−	1.06648i
$622$	−8.03987	+	16.6950i	−0.322369	+	0.669407i
$623$	1.44042	−	0.162296i	0.0577091	−	0.00650225i
$624$	12.8624	−	2.08768i	0.514907	−	0.0835740i
$625$	25.6155	+	12.3358i	1.02462	+	0.493430i
$626$	−19.0070	−	19.0070i	−0.759672	−	0.759672i
$627$	9.60456	−	3.89539i	0.383569	−	0.155567i
$628$	5.84627	+	9.30429i	0.233292	+	0.371282i
$629$	−16.4055	−	34.0663i	−0.654129	−	1.35831i
$630$	−0.520783	+	2.13562i	−0.0207485	+	0.0850853i
$631$	−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
$633$	3.26605	+	3.70955i	0.129814	+	0.147441i
$634$	3.52490	−	15.4436i	0.139992	−	0.613344i
$635$	−13.8320	−	8.69124i	−0.548908	−	0.344902i
$636$	−10.6237	−	0.675448i	−0.421259	−	0.0267833i
$637$		−	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	$-0.462560\pi$
$641$	24.3351	−	38.7290i	0.961177	−	1.52970i	0.843828	−	0.536614i	$-0.180297\pi$
$642$	28.6171	+	5.08022i	1.12943	+	0.200500i
$643$	−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
$645$	−52.7980	+	14.7890i	−2.07892	+	0.582315i
$646$	6.41298	+	2.24400i	0.252315	+	0.0882889i
$647$	29.8464	−	14.3733i	1.17338	−	0.565071i	0.257406	−	0.966303i	$-0.417132\pi$
$647$	29.8464	−	14.3733i	1.17338	−	0.565071i	0.915976	+	0.401232i	$0.131418\pi$
$648$	19.0077	+	20.1667i	0.746694	+	0.792222i
$649$	0.0909685	−	0.0318313i	0.00357083	−	0.00124949i
$650$	11.6294	−	11.6294i	0.456141	−	0.456141i
$651$	0.193791	−	0.458241i	0.00759528	−	0.0179599i
$652$	−0.885004	−	7.85463i	−0.0346594	−	0.307611i
$653$	5.40942	+	48.0100i	0.211687	+	1.87878i	0.429903	+	0.902875i	$0.358548\pi$
$653$	5.40942	+	48.0100i	0.211687	+	1.87878i	−0.218216	+	0.975900i	$0.570024\pi$
$654$	7.07008	−	16.7180i	0.276462	−	0.653725i
$655$	−26.2825	+	26.2825i	−1.02694	+	1.02694i
$656$	2.32480	−	0.813483i	0.0907682	−	0.0317612i
$657$	4.97822	+	6.43545i	0.194219	+	0.251071i
$658$	2.69643	−	1.29853i	0.105118	−	0.0506220i
$659$	5.59379	+	1.95735i	0.217903	+	0.0762476i	0.437023	−	0.899450i	$-0.356033\pi$
$659$	5.59379	+	1.95735i	0.217903	+	0.0762476i	−0.219120	+	0.975698i	$0.570319\pi$
$660$	−12.1466	+	3.40231i	−0.472805	+	0.132435i
$661$	−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
$663$	−20.5175	−	3.64234i	−0.796834	−	0.141457i
$664$	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
$669$	−18.8305	−	1.19723i	−0.728029	−	0.0462875i
$670$	−13.1494	−	8.26231i	−0.508005	−	0.319201i
$671$	−4.32943	+	18.9685i	−0.167136	+	0.732269i
$672$	0.869945	+	0.988077i	0.0335589	+	0.0381159i
$673$	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
$675$	21.3219	+	4.11126i	0.820680	+	0.158242i
$676$	0.388730	+	0.807206i	0.0149511	+	0.0310464i
$677$	−8.24181	−	13.1168i	−0.316758	−	0.504118i	0.649957	−	0.759971i	$-0.274787\pi$
$677$	−8.24181	−	13.1168i	−0.316758	−	0.504118i	−0.966716	+	0.255852i	$0.917644\pi$
$678$	−9.07007	+	3.67862i	−0.348334	+	0.141276i
$679$	1.19927	+	1.19927i	0.0460238	+	0.0460238i
$680$	−29.6037	−	14.2564i	−1.13525	−	0.546708i
$681$	34.8000	−	5.64835i	1.33354	−	0.216445i
$682$	−5.59929	+	0.630889i	−0.214408	+	0.0241580i
$683$	6.91303	−	14.3551i	0.264520	−	0.549281i	−0.725829	−	0.687875i	$-0.758544\pi$
$683$	6.91303	−	14.3551i	0.264520	−	0.549281i	0.990349	+	0.138593i	$0.0442581\pi$
$684$	−2.14516	+	2.60983i	−0.0820224	+	0.0997893i
$685$	14.2478	+	40.7178i	0.544379	+	1.55575i
$686$	−2.85792	+	1.79575i	−0.109116	+	0.0685621i
$687$	−37.3963	+	20.3087i	−1.42676	+	0.774826i
$688$	7.60069	−	21.7215i	0.289774	−	0.828125i
$689$	−6.94569	−	30.4311i	−0.264610	−	1.15933i
$690$	31.2595	+	22.5291i	1.19003	+	0.857668i
$691$	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
$693$	2.01316	+	1.00643i	0.0764735	+	0.0382309i
$694$	−4.37060	+	38.7902i	−0.165906	+	1.47245i
$695$	30.9369			1.17350
$696$	25.3553	−	13.4902i	0.961090	−	0.511346i
$697$	−3.93878			−0.149192
$698$	−2.69649	+	23.9320i	−0.102064	+	0.905841i
$699$	11.5879	−	20.6053i	0.438293	−	0.779364i
$700$	0.575219	+	0.131290i	0.0217412	+	0.00496230i
$701$	−25.1632	−	31.5536i	−0.950400	−	1.19176i	−0.981347	−	0.192243i	$-0.938424\pi$
$701$	−25.1632	−	31.5536i	−0.950400	−	1.19176i	0.0309469	−	0.999521i	$-0.490148\pi$
$702$	−10.2863	+	17.6741i	−0.388233	+	0.667065i
$703$	−3.99958	−	17.5233i	−0.150847	−	0.660904i
$704$	10.1239	−	28.9326i	0.381560	−	1.09044i
$705$	−30.9898	−	57.0644i	−1.16714	−	2.14917i
$706$	21.2649	−	13.3616i	0.800314	−	0.502871i
$707$	−0.508076	−	1.45200i	−0.0191082	−	0.0546080i
$708$	−0.0211053	+	0.0232683i	−0.000793187	+	0.000874477i
$709$	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
$711$	−21.5163	+	4.57731i	−0.806925	+	0.171663i
$712$	19.1570	+	9.22551i	0.717938	+	0.345740i
$713$	−6.16681	−	6.16681i	−0.230949	−	0.230949i
$714$	0.554524	+	1.36725i	0.0207525	+	0.0511679i
$715$	−19.6782	−	31.3176i	−0.735922	−	1.17121i
$716$	1.83818	+	3.81702i	0.0686960	+	0.142649i
$717$	−16.3599	−	4.84450i	−0.610973	−	0.180921i
$718$	−28.1092	+	6.41573i	−1.04902	+	0.239433i
$719$	16.2436	+	12.9539i	0.605786	+	0.483098i	0.877692	−	0.479226i	$-0.159083\pi$
$719$	16.2436	+	12.9539i	0.605786	+	0.483098i	−0.271906	+	0.962324i	$0.587654\pi$
$720$	−14.3629	+	13.9443i	−0.535273	+	0.519672i
$721$	−0.540159	+	2.36659i	−0.0201166	+	0.0881364i
$722$	−15.8006	−	9.92817i	−0.588037	−	0.369488i
$723$	−1.23319	+	19.3962i	−0.0458629	+	0.721352i
$724$			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
$729$	−26.9379	+	1.83019i	−0.997700	+	0.0677848i
$730$	−7.40141	+	5.90243i	−0.273939	+	0.218459i
$731$	−22.9454	+	28.7726i	−0.848667	+	1.06419i
$732$	−1.71053	−	6.10676i	−0.0632230	−	0.225712i
$733$	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
$735$	20.9018	+	29.9247i	0.770975	+	1.10379i
$736$	21.7813	−	7.62160i	0.802869	−	0.280936i
$737$	−11.2435	+	11.2435i	−0.414158	+	0.414158i
$738$	−1.33043	+	3.62911i	−0.0489739	+	0.133589i
$739$	−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
$741$	−9.12350	−	3.85835i	−0.335160	−	0.141740i
$742$	−1.56273	+	1.56273i	−0.0573694	+	0.0573694i
$743$	−19.3844	+	6.78291i	−0.711146	+	0.248841i	−0.661520	−	0.749927i	$-0.730088\pi$
$743$	−19.3844	+	6.78291i	−0.711146	+	0.248841i	−0.0496255	+	0.998768i	$0.515803\pi$
$744$	5.98313	−	4.17909i	0.219352	−	0.153213i
$745$	−18.3280	+	8.82629i	−0.671486	+	0.323370i
$746$	28.0459	+	9.81369i	1.02683	+	0.359305i
$747$	1.06259	+	3.18713i	0.0388782	+	0.116611i
$748$	−5.27876	+	6.61935i	−0.193010	+	0.242027i
$749$	−2.39033	+	1.90622i	−0.0873407	+	0.0696519i
$750$	0.867628	−	4.88739i	0.0316813	−	0.178462i
$751$	−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
$756$	−0.733200	+	0.0248785i	−0.0266662	+	0.000904823i
$757$	−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
$759$	29.6109	−	26.0707i	1.07481	−	0.946307i
$760$	−12.2118	−	9.73855i	−0.442967	−	0.353254i
$761$	32.5740	−	7.43480i	1.18081	−	0.269511i	0.413325	−	0.910583i	$-0.364367\pi$
$761$	32.5740	−	7.43480i	1.18081	−	0.269511i	0.767481	+	0.641072i	$0.221510\pi$
$762$	−3.05511	+	10.3171i	−0.110675	+	0.373751i
$763$	0.828451	+	1.72030i	0.0299919	+	0.0622789i
$764$	−0.395205	−	0.628965i	−0.0142980	−	0.0227551i
$765$	29.0447	−	13.4618i	1.05011	−	0.486713i
$766$	−5.94560	−	5.94560i	−0.214823	−	0.214823i
$767$	−0.0829901	−	0.0399659i	−0.00299660	−	0.00144309i
$768$	3.91597	+	24.1266i	0.141305	+	0.870595i
$769$	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
$771$	24.3859	+	22.1190i	0.878235	+	0.796596i
$772$	−3.65569	−	10.4474i	−0.131571	−	0.376008i
$773$	39.7003	−	24.9453i	1.42792	−	0.897221i	0.427941	−	0.903807i	$-0.359239\pi$
$773$	39.7003	−	24.9453i	1.42792	−	0.897221i	0.999978	+	0.00658548i	$0.00209624\pi$
$774$	18.7600	+	30.8602i	0.674315	+	1.10925i
$775$	1.88872	−	5.39765i	0.0678448	−	0.193889i
$776$	5.53596	+	24.2546i	0.198729	+	0.870690i
$777$	2.28213	−	3.16648i	0.0818708	−	0.113597i
$778$	−4.63504	−	5.81216i	−0.166174	−	0.208376i
$779$	−1.82542	−	0.416639i	−0.0654023	−	0.0149277i
$780$	10.5082	+	5.90952i	0.376254	+	0.211595i
$781$	−3.33386	+	29.5888i	−0.119295	+	1.05877i
$782$	25.8624			0.924837
$783$	−5.53259	+	27.4297i	−0.197718	+	0.980259i
$784$	−15.3202			−0.547152
$785$	5.54209	−	49.1874i	0.197806	−	1.75558i
$786$	21.3391	+	12.0005i	0.761142	+	0.428045i
$787$	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
$789$	−20.0964	+	27.8841i	−0.715452	+	0.992700i
$790$	−5.69548	−	24.9535i	−0.202636	−	0.887807i
$791$	0.340049	−	0.971804i	0.0120907	−	0.0345534i
$792$	17.1497	+	28.2111i	0.609387	+	1.00244i
$793$	15.7451	−	9.89330i	0.559125	−	0.351322i
$794$	8.08705	+	23.1115i	0.286999	+	0.820195i
$795$	35.5177	+	32.2161i	1.25968	+	1.14259i
$796$	0.564205	−	1.17158i	0.0199977	−	0.0415257i
$797$	8.45975	−	0.953185i	0.299660	−	0.0337635i	0.0391454	−	0.999234i	$-0.487536\pi$
$797$	8.45975	−	0.953185i	0.299660	−	0.0337635i	0.260514	+	0.965470i	$0.416108\pi$
$798$	0.112367	+	0.692303i	0.00397775	+	0.0245073i
$799$	−39.2685	−	18.9107i	−1.38922	−	0.669012i
$800$	10.6994	+	10.6994i	0.378282	+	0.378282i
$801$	−18.7952	+	8.71131i	−0.664097	+	0.307799i
$802$	0.318899	+	0.507526i	0.0112607	+	0.0179214i
$803$	4.20559	+	8.73299i	0.148412	+	0.308180i
$804$	1.47158	−	4.96954i	0.0518986	−	0.175262i
$805$	−3.95162	+	0.901931i	−0.139276	+	0.0317889i
$806$	4.21046	+	3.35773i	0.148307	+	0.118271i
$807$	19.3821	−	17.0648i	0.682282	−	0.600711i
$808$	5.02120	−	21.9993i	0.176645	−	0.773933i
$809$	−35.1604	−	22.0927i	−1.23617	−	0.776739i	−0.254456	−	0.967084i	$-0.581896\pi$
$809$	−35.1604	−	22.0927i	−1.23617	−	0.776739i	−0.981717	+	0.190345i	$0.939039\pi$
$810$	−2.59273	−	31.3083i	−0.0910994	−	1.10006i
$811$		−	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
$816$	−2.34852	+	13.2293i	−0.0822147	+	0.463119i
$817$	−13.6775	+	10.9075i	−0.478516	+	0.381604i
$818$	5.84926	−	7.33474i	0.204514	−	0.256453i
$819$	−0.680367	−	2.04069i	−0.0237739	−	0.0713073i
$820$	2.15089	+	0.752627i	0.0751122	+	0.0262829i
$821$	10.4174	−	5.01674i	0.363569	−	0.175085i	−0.243176	−	0.969982i	$-0.578189\pi$
$821$	10.4174	−	5.01674i	0.363569	−	0.175085i	0.606745	+	0.794897i	$0.292475\pi$
$822$	23.2943	−	16.2706i	0.812483	−	0.567503i
$823$	−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
$825$	23.8262	+	10.0762i	0.829523	+	0.350807i
$826$	0.000730213		0.00648082i	2.54074e−5		0.000225497i
$827$	0.466458	+	4.13993i	0.0162203	+	0.143960i	0.999212	−	0.0396906i	$-0.0126372\pi$
$827$	0.466458	+	4.13993i	0.0162203	+	0.143960i	−0.982992	+	0.183650i	$0.941209\pi$
$828$	−4.42626	+	12.0738i	−0.153823	+	0.419593i
$829$	−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
$831$	−8.58238	−	12.2872i	−0.297720	−	0.426240i
$832$	−26.3950	+	12.7112i	−0.915083	+	0.440681i
$833$	23.1248	+	8.09173i	0.801228	+	0.280362i
$834$	−5.49619	−	19.6219i	−0.190318	−	0.679453i
$835$	−4.62838	+	5.80381i	−0.160172	+	0.200849i
$836$	−3.14661	+	2.50934i	−0.108828	+	0.0867874i
$837$	−0.556048	+	7.08869i	−0.0192198	+	0.245021i
$838$	11.5668	−	18.4084i	0.399567	−	0.635908i
$839$	−16.2122	−	1.82668i	−0.559708	−	0.0630640i	−0.172421	−	0.985023i	$-0.555159\pi$
$839$	−16.2122	−	1.82668i	−0.559708	−	0.0630640i	−0.387287	+	0.921959i	$0.626588\pi$
$840$	−0.165139	−	3.38784i	−0.00569784	−	0.116892i
$841$	25.9092	+	13.0275i	0.893419	+	0.449224i
$842$		−	35.1705i		−	1.21206i
$843$	2.82789	−	44.4782i	0.0973976	−	1.53191i
$844$	−1.62506	−	1.02109i	−0.0559368	−	0.0351474i
$845$	0.898044	−	3.93459i	0.0308937	−	0.135354i
$846$	−30.6879	+	29.7935i	−1.05507	+	1.02432i
$847$	0.291044	+	0.232100i	0.0100004	+	0.00797504i
$848$	−19.6214	+	4.47847i	−0.673803	+	0.153791i
$849$	−8.03632	−	2.37971i	−0.275806	−	0.0816715i
$850$	7.35788	+	15.2788i	0.252373	+	0.524058i
$851$	−36.4006	−	57.9312i	−1.24780	−	1.98586i
$852$	−3.64775	−	8.99397i	−0.124970	−	0.308128i
$853$	−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
$855$	14.8847	−	3.16652i	0.509045	−	0.108293i
$856$	−44.5650	+	5.02127i	−1.52320	+	0.171624i
$857$	6.06210	−	12.5881i	0.207077	−	0.430001i	−0.771401	−	0.636349i	$-0.780444\pi$
$857$	6.06210	−	12.5881i	0.207077	−	0.430001i	0.978479	+	0.206348i	$0.0661580\pi$
$858$	−16.3674	+	18.0449i	−0.558775	+	0.616041i
$859$	−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
$861$	−0.194042	−	0.357307i	−0.00661292	−	0.0121770i
$862$	−0.882295	+	2.52145i	−0.0300511	+	0.0858811i
$863$	−7.12166	−	31.2020i	−0.242424	−	1.06213i	−0.938803	−	0.344455i	$-0.888064\pi$
$863$	−7.12166	−	31.2020i	−0.242424	−	1.06213i	0.696379	−	0.717675i	$-0.254793\pi$
$864$	−16.2608	−	9.46381i	−0.553203	−	0.321965i
$865$	18.6720	+	23.4140i	0.634868	+	0.796099i
$866$	1.62564	+	0.371041i	0.0552414	+	0.0126085i
$867$	−3.90090	+	6.93650i	−0.132481	+	0.235576i
$868$	−0.0216315	+	0.191985i	−0.000734221	+	0.00651639i
$869$	−26.2066			−0.888999
$870$	−32.0072	−	5.96472i	−1.08515	−	0.202223i
$871$	15.1970			0.514932
$872$	−3.13591	+	27.8319i	−0.106195	+	0.942508i
$873$	−21.6804	−	10.8385i	−0.733769	−	0.366829i
$874$	11.9858	+	2.73569i	0.405427	+	0.0925362i
$875$	0.325555	+	0.408234i	0.0110058	+	0.0138008i
$876$	−2.56310	−	1.84726i	−0.0865992	−	0.0624131i
$877$	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
$879$	−24.1982	+	13.1412i	−0.816184	+	0.443243i
$880$	−20.1931	+	12.6881i	−0.680708	+	0.427717i
$881$	−1.60230	−	4.57911i	−0.0539828	−	0.154274i	0.913735	−	0.406311i	$-0.133185\pi$
$881$	−1.60230	−	4.57911i	−0.0539828	−	0.154274i	−0.967718	+	0.252037i	$0.918899\pi$
$882$	15.2666	−	18.5735i	0.514053	−	0.625403i
$883$	−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
$885$	0.139679	−	0.0226712i	0.00469526	−	0.000762083i
$886$	−10.3199	−	4.96983i	−0.346705	−	0.166965i
$887$	11.9205	+	11.9205i	0.400251	+	0.400251i	0.878322	−	0.478070i	$-0.158664\pi$
$887$	11.9205	+	11.9205i	0.400251	+	0.400251i	−0.478070	+	0.878322i	$0.658664\pi$
$888$	53.0564	−	21.5185i	1.78046	−	0.722113i
$889$	−0.602186	−	0.958373i	−0.0201967	−	0.0321428i
$890$	−10.4582	−	21.7167i	−0.350559	−	0.727944i
$891$	−31.8431	−	4.54505i	−1.06679	−	0.152265i
$892$	7.14323	−	1.63040i	0.239173	−	0.0545897i
$893$	−16.1985	−	12.9179i	−0.542063	−	0.432281i
$894$	8.85426	+	10.0566i	0.296131	+	0.336343i
$895$	4.24657	−	18.6054i	0.141947	−	0.621911i
$896$	0.469202	+	0.294819i	0.0156749	+	0.00984921i
$897$	−37.6306	−	2.39252i	−1.25645	−	0.0798840i
$898$		−	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
$903$	−3.74050	−	0.664029i	−0.124476	−	0.0220975i
$904$	11.8076	−	9.41627i	0.392716	−	0.313180i
$905$	17.0196	−	21.3420i	0.565752	−	0.709431i
$906$	12.2580	−	3.43352i	0.407245	−	0.114071i
$907$	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
$909$	13.4516	+	17.3892i	0.446163	+	0.576765i
$910$	2.36245	−	0.826656i	0.0783143	−	0.0274034i
$911$	−12.7309	+	12.7309i	−0.421793	+	0.421793i	−0.885821	−	0.464028i	$-0.846404\pi$
$911$	−12.7309	+	12.7309i	−0.421793	+	0.421793i	0.464028	+	0.885821i	$0.346404\pi$
$912$	−2.48780	+	5.88268i	−0.0823793	+	0.194795i
$913$	0.448125	+	3.97722i	0.0148308	+	0.131627i
$914$	−2.26341	−	20.0883i	−0.0748668	−	0.664462i
$915$	−11.1270	+	26.3109i	−0.367846	+	0.869812i
$916$	11.6848	−	11.6848i	0.386076	−	0.386076i
$917$	−2.43079	+	0.850571i	−0.0802718	+	0.0280883i
$918$	−13.6983	−	16.0302i	−0.452111	−	0.529077i
$919$	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
$921$	29.7885	−	8.34389i	0.981564	−	0.274940i
$922$	−5.40196	+	6.77385i	−0.177904	+	0.223085i
$923$	22.2497	−	17.7436i	0.732358	−	0.584036i
$924$	−0.860530	−	0.152765i	−0.0283094	−	0.00502559i
$925$	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	$-0.946835\pi$
$929$		−	10.1343i		−	0.332496i	0.986084	−	0.166248i	$-0.0531652\pi$
$930$	−8.25661	−	0.524948i	−0.270745	−	0.0172137i
$931$	9.86121	+	6.19621i	0.323188	+	0.203073i
$932$	−2.04270	+	8.94967i	−0.0669110	+	0.293156i
$933$	18.4082	+	20.9079i	0.602659	+	0.684495i
$934$	24.5850	+	19.6059i	0.804445	+	0.641524i
$935$	37.1815	−	8.48644i	1.21597	−	0.277536i
$936$	7.47553	−	30.6556i	0.244345	−	1.00201i
$937$	−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
$939$	−37.4470	+	15.1876i	−1.22204	+	0.495630i
$940$	17.8302	+	17.8302i	0.581558	+	0.581558i
$941$	27.6443	+	13.3128i	0.901179	+	0.433985i	0.826315	−	0.563209i	$-0.190433\pi$
$941$	27.6443	+	13.3128i	0.901179	+	0.433985i	0.0748645	+	0.997194i	$0.476148\pi$
$942$	−32.1821	+	5.22344i	−1.04855	+	0.170189i
$943$	−7.08235	+	0.797989i	−0.230633	+	0.0259861i
$944$	−0.0257694	+	0.0535106i	−0.000838721	+	0.00174162i
$945$	2.65206	+	1.97161i	0.0862716	+	0.0641365i
$946$	14.2102	+	40.6104i	0.462013	+	1.32036i
$947$	−11.4050	+	7.16627i	−0.370614	+	0.232872i	−0.704442	−	0.709762i	$-0.748803\pi$
$947$	−11.4050	+	7.16627i	−0.370614	+	0.232872i	0.333828	+	0.942634i	$0.391660\pi$
$948$	7.50658	−	4.07658i	0.243802	−	0.132401i
$949$	3.05969	−	8.74411i	0.0993219	−	0.283846i
$950$	1.79382	+	7.85922i	0.0581991	+	0.254987i
$951$	−19.3194	−	13.9237i	−0.626473	−	0.451507i
$952$	−1.41943	−	1.77991i	−0.0460041	−	0.0576873i
$953$	10.8922	+	2.48608i	0.352834	+	0.0805319i	0.395264	−	0.918567i	$-0.370653\pi$
$953$	10.8922	+	2.48608i	0.352834	+	0.0805319i	−0.0424307	+	0.999099i	$0.513510\pi$
$954$	14.1233	−	28.2508i	0.457258	−	0.914655i
$955$	−0.374642	+	3.32504i	−0.0121231	+	0.107596i
$956$	6.62548			0.214283
$957$	−13.2465	+	30.5911i	−0.428198	+	0.988869i
$958$	30.1459			0.973971
$959$	−0.334653	+	2.97013i	−0.0108065	+	0.0959104i
$960$	22.0611	−	39.2285i	0.712018	−	1.26610i
$961$	−28.3972	−	6.48147i	−0.916038	−	0.209080i
$962$	26.3415	+	33.0312i	0.849285	+	1.06497i
$963$	23.7911	−	36.6488i	0.766656	−	1.18099i
$964$	−1.67937	−	7.35782i	−0.0540890	−	0.236979i
$965$	−16.4673	+	47.0607i	−0.530100	+	1.51494i
$966$	1.27409	+	2.34611i	0.0409933	+	0.0754848i
$967$	−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
$969$	6.86222	−	7.56550i	0.220446	−	0.243039i
$970$	12.2366	−	25.4096i	0.392894	−	0.815854i
$971$	−2.86213	+	0.322485i	−0.0918501	+	0.0103490i	−0.157770	−	0.987476i	$-0.550430\pi$
$971$	−2.86213	+	0.322485i	−0.0918501	+	0.0103490i	0.0659198	+	0.997825i	$0.479002\pi$
$972$	9.82810	−	3.65149i	0.315236	−	0.117122i
$973$	1.93123	+	0.930033i	0.0619125	+	0.0298155i
$974$	−26.4977	−	26.4977i	−0.849041	−	0.849041i
$975$	−9.29251	−	22.9118i	−0.297599	−	0.733765i
$976$	−6.37903	−	10.1522i	−0.204188	−	0.324963i
$977$	10.5390	+	21.8845i	0.337174	+	0.700148i	0.998763	−	0.0497177i	$-0.0158322\pi$
$977$	10.5390	+	21.8845i	0.337174	+	0.700148i	−0.661590	+	0.749866i	$0.730118\pi$
$978$	22.4871	+	6.65887i	0.719057	+	0.212927i
$979$	−24.0606	+	5.49168i	−0.768981	+	0.175515i
$980$	−11.0818	−	8.83745i	−0.353996	−	0.282302i
$981$	−19.0080	−	19.5786i	−0.606878	−	0.625098i
$982$	−6.05348	+	26.5220i	−0.193174	+	0.846352i
$983$	−0.590660	−	0.371137i	−0.0188391	−	0.0118374i	0.522580	−	0.852591i	$-0.324970\pi$
$983$	−0.590660	−	0.371137i	−0.0188391	−	0.0118374i	−0.541419	+	0.840753i	$0.682113\pi$
$984$	0.378435	−	5.95218i	0.0120641	−	0.189749i
$985$			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
$990$	4.73989	−	37.1248i	0.150643	−	1.17990i
$991$	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
$993$	3.51240	+	12.5396i	0.111463	+	0.397933i
$994$	−1.90188	−	0.665496i	−0.0603239	−	0.0211082i
$995$	−5.27747	+	2.54149i	−0.167307	+	0.0805708i
$996$	−0.747037	−	1.06952i	−0.0236708	−	0.0338890i
$997$	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
$999$	−16.6275	+	53.2460i	−0.526070	+	1.68463i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
87.2.k.a.2.3	✓	96	3.2	odd	2	inner
87.2.k.a.2.6	yes	96	1.1	even	1	trivial
87.2.k.a.44.3	yes	96	29.15	odd	28	inner
87.2.k.a.44.6	yes	96	87.44	even	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} +(-1.50970 - 0.849011i) q^{3} +(0.655718 + 0.149663i) q^{4} +(-1.88898 - 2.36870i) q^{5} +(-1.16677 + 1.61892i) q^{6} +(-0.0467107 - 0.204653i) q^{7} +(1.01699 - 2.90639i) q^{8} +(1.55836 + 2.56350i) q^{9} +(-2.95558 + 1.85712i) q^{10} +(1.18041 + 3.37343i) q^{11} +(-0.862869 - 0.782658i) q^{12} +(1.48207 - 3.07756i) q^{13} +(-0.240331 + 0.0270788i) q^{14} +(0.840725 + 5.17978i) q^{15} +(-1.98436 - 0.955617i) q^{16} +(2.49052 + 2.49052i) q^{17} +(3.13595 - 1.45347i) q^{18} +(0.890780 + 1.41767i) q^{19} +(-0.884129 - 1.83591i) q^{20} +(-0.103234 + 0.348622i) q^{21} +(4.01448 - 0.916279i) q^{22} +(4.98279 + 3.97364i) q^{23} +(-4.00290 + 3.52432i) q^{24} +(-0.929911 + 4.07421i) q^{25} +(-3.33229 - 2.09382i) q^{26} +(-0.176211 - 5.19316i) 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} +(1.08201 - 6.09503i) q^{33} +(3.17265 - 2.53010i) q^{34} +(-0.396526 + 0.497228i) q^{35} +(0.638184 + 1.91416i) q^{36} +(-10.1328 - 3.54562i) q^{37} +(1.73799 - 0.836970i) q^{38} +(-4.85036 + 3.38788i) q^{39} +(-8.80543 + 3.08115i) q^{40} +(-0.790755 + 0.790755i) q^{41} +(0.385817 + 0.163163i) q^{42} +(1.16988 + 10.3830i) q^{43} +(0.269140 + 2.38868i) q^{44} +(3.12845 - 8.53368i) q^{45} +(5.19217 - 5.19217i) q^{46} +(-11.6801 + 4.08706i) q^{47} +(2.18445 + 3.12743i) q^{48} +(6.26708 - 3.01807i) q^{49} +(4.54457 + 1.59021i) q^{50} +(-1.64545 - 5.87440i) q^{51} +(1.43242 - 1.79620i) q^{52} +(7.14433 - 5.69741i) q^{53} +(-5.96834 - 0.468167i) 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} +(-0.223945 + 3.52230i) q^{60} +(4.60945 + 2.89631i) q^{61} +(-0.350825 + 1.53707i) q^{62} +(0.451835 - 0.438666i) q^{63} +(-6.70546 - 5.34743i) q^{64} +(-10.0894 + 2.30285i) q^{65} +(-6.83857 - 2.02504i) q^{66} +(1.93035 + 4.00841i) q^{67} +(1.26034 + 2.00582i) q^{68} +(-4.14883 - 10.2294i) q^{69} +(0.518122 + 0.518122i) q^{70} +(7.50627 + 3.61483i) q^{71} +(9.03534 - 1.92215i) q^{72} +(2.69501 - 0.303655i) q^{73} +(-5.36646 + 11.1436i) q^{74} +(4.86293 - 5.36131i) q^{75} +(0.371928 + 1.06291i) q^{76} +(0.635244 - 0.399150i) q^{77} +(3.25307 + 5.99018i) q^{78} +(-2.42181 + 6.92112i) q^{79} +(1.48484 + 6.50549i) q^{80} +(-4.14303 + 7.98970i) q^{81} +(0.803323 + 1.00734i) q^{82} +(1.09179 + 0.249194i) q^{83} +(-0.119868 + 0.213147i) q^{84} +(1.19476 - 10.6038i) q^{85} +12.0383 q^{86} +(6.85492 + 6.32535i) q^{87} +11.0049 q^{88} +(-0.773147 + 6.86187i) q^{89} +(-9.36657 - 4.68257i) q^{90} +(-0.699061 - 0.159556i) q^{91} +(2.67260 + 3.35133i) q^{92} +(1.92281 + 1.38579i) q^{93} +(3.17252 + 13.8997i) q^{94} +(1.67537 - 4.78793i) q^{95} +(-5.51118 + 2.99294i) q^{96} +(-6.84115 + 4.29858i) q^{97} +(-2.64692 - 7.56446i) q^{98} +(-6.80826 + 8.28299i) 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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