LMFDB - Embedded newform 95.2.p.a.24.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(4,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 2]))

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

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

chi := DirichletCharacter("95.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.p (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$8$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			24.3
Character	$\chi$	$=$	95.24
Dual form			95.2.p.a.4.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.358233 - 0.984236i) q^{2} +(0.523379 + 0.0922859i) q^{3} +(0.691698 - 0.580404i) q^{4} +(0.296741 + 2.21629i) q^{5} +(-0.0966605 - 0.548189i) q^{6} +(2.37320 - 1.37016i) q^{7} +(-2.63320 - 1.52028i) q^{8} +(-2.55367 - 0.929459i) q^{9} +O(q^{10})$	\(q+(-0.358233 - 0.984236i) q^{2} +(0.523379 + 0.0922859i) q^{3} +(0.691698 - 0.580404i) q^{4} +(0.296741 + 2.21629i) q^{5} +(-0.0966605 - 0.548189i) q^{6} +(2.37320 - 1.37016i) q^{7} +(-2.63320 - 1.52028i) q^{8} +(-2.55367 - 0.929459i) q^{9} +(2.07505 - 1.08601i) q^{10} +(-0.416418 + 0.721257i) q^{11} +(0.415583 - 0.239937i) q^{12} +(-0.601551 + 0.106070i) q^{13} +(-2.19872 - 1.84495i) q^{14} +(-0.0492240 + 1.18735i) q^{15} +(-0.239424 + 1.35784i) q^{16} +(1.65483 + 4.54662i) q^{17} +2.84638i q^{18} +(-4.35537 + 0.175314i) q^{19} +(1.49160 + 1.36077i) q^{20} +(1.36853 - 0.498103i) q^{21} +(0.859062 + 0.151476i) q^{22} +(2.41106 + 2.87338i) q^{23} +(-1.23786 - 1.03869i) q^{24} +(-4.82389 + 1.31533i) q^{25} +(0.319893 + 0.554071i) q^{26} +(-2.63152 - 1.51931i) q^{27} +(0.846286 - 2.32515i) q^{28} +(-3.73543 - 1.35958i) q^{29} +(1.18626 - 0.376898i) q^{30} +(3.46338 + 5.99875i) q^{31} +(-4.56652 + 0.805200i) q^{32} +(-0.284506 + 0.339061i) q^{33} +(3.88213 - 3.25750i) q^{34} +(3.74091 + 4.85311i) q^{35} +(-2.30583 + 0.839253i) q^{36} -4.33071i q^{37} +(1.73279 + 4.22391i) q^{38} -0.324628 q^{39} +(2.58800 - 6.28706i) q^{40} +(0.923271 - 5.23613i) q^{41} +(-0.980503 - 1.16852i) q^{42} +(6.72257 - 8.01164i) q^{43} +(0.130585 + 0.740582i) q^{44} +(1.30217 - 5.93548i) q^{45} +(1.96437 - 3.40239i) q^{46} +(-1.16292 + 3.19511i) q^{47} +(-0.250619 + 0.688571i) q^{48} +(0.254704 - 0.441160i) q^{49} +(3.02267 + 4.27665i) q^{50} +(0.446517 + 2.53232i) q^{51} +(-0.354529 + 0.422511i) q^{52} +(-8.78556 - 10.4702i) q^{53} +(-0.552662 + 3.13430i) q^{54} +(-1.72208 - 0.708876i) q^{55} -8.33212 q^{56} +(-2.29569 - 0.310183i) q^{57} +4.16359i q^{58} +(9.41315 - 3.42610i) q^{59} +(0.655091 + 0.849854i) q^{60} +(6.94990 - 5.83166i) q^{61} +(4.66350 - 5.55774i) q^{62} +(-7.33387 + 1.29316i) q^{63} +(3.80717 + 6.59422i) q^{64} +(-0.413587 - 1.30174i) q^{65} +(0.435636 + 0.158558i) q^{66} +(-3.73984 + 10.2751i) q^{67} +(3.78352 + 2.18442i) q^{68} +(0.996723 + 1.72638i) q^{69} +(3.43649 - 5.42048i) q^{70} +(-0.519169 - 0.435634i) q^{71} +(5.31128 + 6.32974i) q^{72} +(6.90688 + 1.21787i) q^{73} +(-4.26244 + 1.55140i) q^{74} +(-2.64611 + 0.243240i) q^{75} +(-2.91085 + 2.64914i) q^{76} +2.28224i q^{77} +(0.116292 + 0.319511i) q^{78} +(-0.604220 + 3.42670i) q^{79} +(-3.08042 - 0.127706i) q^{80} +(5.00824 + 4.20241i) q^{81} +(-5.48434 + 0.967036i) q^{82} +(-4.30834 + 2.48742i) q^{83} +(0.657507 - 1.13884i) q^{84} +(-9.58557 + 5.01676i) q^{85} +(-10.2936 - 3.74656i) q^{86} +(-1.82957 - 1.05630i) q^{87} +(2.19302 - 1.26614i) q^{88} +(1.02256 + 5.79921i) q^{89} +(-6.30840 + 0.844638i) q^{90} +(-1.28227 + 1.07595i) q^{91} +(3.33544 + 0.588129i) q^{92} +(1.25906 + 3.45924i) q^{93} +3.56134 q^{94} +(-1.68097 - 9.60075i) q^{95} -2.46433 q^{96} +(-4.25430 - 11.6886i) q^{97} +(-0.525449 - 0.0926508i) q^{98} +(1.73377 - 1.45481i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9}+O(q^{10}) $ 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9	$ 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9} - 15 q^{10} - 12 q^{11} + 6 q^{14} + 3 q^{15} - 42 q^{16} + 12 q^{19} + 42 q^{20} - 54 q^{21} + 24 q^{24} + 12 q^{25} + 12 q^{26} + 18 q^{30} - 42 q^{31} - 36 q^{34} + 6 q^{35} + 18 q^{36} - 48 q^{39} + 66 q^{40} + 6 q^{41} - 6 q^{44} - 9 q^{45} - 6 q^{46} + 12 q^{49} - 18 q^{50} + 108 q^{51} + 24 q^{54} + 36 q^{56} - 36 q^{59} - 114 q^{60} + 48 q^{61} - 18 q^{65} + 180 q^{66} + 66 q^{69} - 123 q^{70} - 24 q^{71} + 84 q^{74} + 72 q^{75} + 66 q^{76} + 48 q^{79} - 39 q^{80} - 78 q^{81} - 54 q^{84} - 84 q^{85} - 42 q^{86} - 12 q^{89} + 18 q^{90} - 30 q^{91} - 72 q^{94} - 63 q^{95} - 240 q^{96} - 36 q^{99}+O(q^{100}) $ 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9 - 15 * q^10 - 12 * q^11 + 6 * q^14 + 3 * q^15 - 42 * q^16 + 12 * q^19 + 42 * q^20 - 54 * q^21 + 24 * q^24 + 12 * q^25 + 12 * q^26 + 18 * q^30 - 42 * q^31 - 36 * q^34 + 6 * q^35 + 18 * q^36 - 48 * q^39 + 66 * q^40 + 6 * q^41 - 6 * q^44 - 9 * q^45 - 6 * q^46 + 12 * q^49 - 18 * q^50 + 108 * q^51 + 24 * q^54 + 36 * q^56 - 36 * q^59 - 114 * q^60 + 48 * q^61 - 18 * q^65 + 180 * q^66 + 66 * q^69 - 123 * q^70 - 24 * q^71 + 84 * q^74 + 72 * q^75 + 66 * q^76 + 48 * q^79 - 39 * q^80 - 78 * q^81 - 54 * q^84 - 84 * q^85 - 42 * q^86 - 12 * q^89 + 18 * q^90 - 30 * q^91 - 72 * q^94 - 63 * q^95 - 240 * q^96 - 36 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$-1$

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 $

$2$	−0.358233	−	0.984236i	−0.253309	−	0.695960i	−0.999542	−	0.0302752i	$-0.990362\pi$
$2$	−0.358233	−	0.984236i	−0.253309	−	0.695960i	0.746233	−	0.665685i	$-0.231861\pi$
$3$	0.523379	+	0.0922859i	0.302173	+	0.0532813i	0.322679	−	0.946508i	$-0.395417\pi$
$3$	0.523379	+	0.0922859i	0.302173	+	0.0532813i	−0.0205059	+	0.999790i	$0.506528\pi$
$4$	0.691698	−	0.580404i	0.345849	−	0.290202i
$5$	0.296741	+	2.21629i	0.132707	+	0.991155i
$5$	0.296741	+	2.21629i	0.132707	+	0.991155i
$6$	−0.0966605	−	0.548189i	−0.0394615	−	0.223797i
$7$	2.37320	−	1.37016i	0.896983	−	0.517874i	0.0207632	−	0.999784i	$-0.493390\pi$
$7$	2.37320	−	1.37016i	0.896983	−	0.517874i	0.876220	+	0.481911i	$0.160057\pi$
$8$	−2.63320	−	1.52028i	−0.930976	−	0.537499i
$9$	−2.55367	−	0.929459i	−0.851223	−	0.309820i
$10$	2.07505	−	1.08601i	0.656189	−	0.343427i
$11$	−0.416418	+	0.721257i	−0.125555	+	0.217467i	−0.921950	−	0.387310i	$-0.873404\pi$
$11$	−0.416418	+	0.721257i	−0.125555	+	0.217467i	0.796395	+	0.604777i	$0.206738\pi$
$12$	0.415583	−	0.239937i	0.119969	−	0.0692639i
$13$	−0.601551	+	0.106070i	−0.166840	+	0.0294185i	−0.256444	−	0.966559i	$-0.582551\pi$
$13$	−0.601551	+	0.106070i	−0.166840	+	0.0294185i	0.0896039	+	0.995977i	$0.471440\pi$
$14$	−2.19872	−	1.84495i	−0.587633	−	0.493083i
$15$	−0.0492240	+	1.18735i	−0.0127096	+	0.306571i
$16$	−0.239424	+	1.35784i	−0.0598561	+	0.339461i
$17$	1.65483	+	4.54662i	0.401356	+	1.10272i	0.961616	+	0.274400i	$0.0884792\pi$
$17$	1.65483	+	4.54662i	0.401356	+	1.10272i	−0.560259	+	0.828317i	$0.689299\pi$
$18$			2.84638i			0.670897i
$19$	−4.35537	+	0.175314i	−0.999191	+	0.0402198i
$19$	−4.35537	+	0.175314i	−0.999191	+	0.0402198i
$20$	1.49160	+	1.36077i	0.333532	+	0.304278i
$21$	1.36853	−	0.498103i	0.298637	−	0.108695i
$22$	0.859062	+	0.151476i	0.183153	+	0.0322947i
$23$	2.41106	+	2.87338i	0.502740	+	0.599142i	0.956410	−	0.292028i	$-0.0943300\pi$
$23$	2.41106	+	2.87338i	0.502740	+	0.599142i	−0.453670	+	0.891170i	$0.649886\pi$
$24$	−1.23786	−	1.03869i	−0.252677	−	0.212021i
$25$	−4.82389	+	1.31533i	−0.964778	+	0.263066i
$26$	0.319893	+	0.554071i	0.0627362	+	0.108662i
$27$	−2.63152	−	1.51931i	−0.506436	−	0.292391i
$28$	0.846286	−	2.32515i	0.159933	−	0.439412i
$29$	−3.73543	−	1.35958i	−0.693651	−	0.252468i	−0.0289533	−	0.999581i	$-0.509217\pi$
$29$	−3.73543	−	1.35958i	−0.693651	−	0.252468i	−0.664698	+	0.747112i	$0.731440\pi$
$30$	1.18626	−	0.376898i	0.216581	−	0.0688118i
$31$	3.46338	+	5.99875i	0.622042	+	1.07741i	0.989105	+	0.147212i	$0.0470300\pi$
$31$	3.46338	+	5.99875i	0.622042	+	1.07741i	−0.367063	+	0.930196i	$0.619637\pi$
$32$	−4.56652	+	0.805200i	−0.807254	+	0.142341i
$33$	−0.284506	+	0.339061i	−0.0495262	+	0.0590230i
$34$	3.88213	−	3.25750i	0.665780	−	0.558656i
$35$	3.74091	+	4.85311i	0.632329	+	0.820325i
$36$	−2.30583	+	0.839253i	−0.384305	+	0.139876i
$37$		−	4.33071i		−	0.711965i	−0.934493	−	0.355982i	$-0.884146\pi$
$37$		−	4.33071i		−	0.711965i	0.934493	−	0.355982i	$-0.115854\pi$
$38$	1.73279	+	4.22391i	0.281095	+	0.685209i
$39$	−0.324628			−0.0519821
$40$	2.58800	−	6.28706i	0.409198	−	0.994072i
$41$	0.923271	−	5.23613i	0.144191	−	0.817746i	−0.823823	−	0.566848i	$-0.808163\pi$
$41$	0.923271	−	5.23613i	0.144191	−	0.817746i	0.968013	−	0.250899i	$-0.0807260\pi$
$42$	−0.980503	−	1.16852i	−0.151295	−	0.180306i
$43$	6.72257	−	8.01164i	1.02518	−	1.22176i	0.0503713	−	0.998731i	$-0.483960\pi$
$43$	6.72257	−	8.01164i	1.02518	−	1.22176i	0.974811	−	0.223034i	$-0.0715960\pi$
$44$	0.130585	+	0.740582i	0.0196864	+	0.111647i
$45$	1.30217	−	5.93548i	0.194116	−	0.884809i
$46$	1.96437	−	3.40239i	0.289631	−	0.501655i
$47$	−1.16292	+	3.19511i	−0.169630	+	0.466054i	−0.995156	−	0.0983098i	$-0.968656\pi$
$47$	−1.16292	+	3.19511i	−0.169630	+	0.466054i	0.825526	+	0.564364i	$0.190879\pi$
$48$	−0.250619	+	0.688571i	−0.0361738	+	0.0993867i
$49$	0.254704	−	0.441160i	0.0363862	−	0.0630228i
$50$	3.02267	+	4.27665i	0.427470	+	0.604810i
$51$	0.446517	+	2.53232i	0.0625249	+	0.354596i
$52$	−0.354529	+	0.422511i	−0.0491643	+	0.0585917i
$53$	−8.78556	−	10.4702i	−1.20679	−	1.43820i	−0.867444	−	0.497535i	$-0.834239\pi$
$53$	−8.78556	−	10.4702i	−1.20679	−	1.43820i	−0.339346	−	0.940662i	$-0.610206\pi$
$54$	−0.552662	+	3.13430i	−0.0752077	+	0.426524i
$55$	−1.72208	−	0.708876i	−0.232206	−	0.0955848i
$56$	−8.33212			−1.11343
$57$	−2.29569	−	0.310183i	−0.304072	−	0.0410848i
$58$			4.16359i			0.546706i
$59$	9.41315	−	3.42610i	1.22549	−	0.446041i	0.353437	−	0.935458i	$-0.385013\pi$
$59$	9.41315	−	3.42610i	1.22549	−	0.446041i	0.872050	+	0.489417i	$0.162790\pi$
$60$	0.655091	+	0.849854i	0.0845719	+	0.109716i
$61$	6.94990	−	5.83166i	0.889844	−	0.746668i	−0.0783350	−	0.996927i	$-0.524960\pi$
$61$	6.94990	−	5.83166i	0.889844	−	0.746668i	0.968179	+	0.250260i	$0.0805159\pi$
$62$	4.66350	−	5.55774i	0.592265	−	0.705833i
$63$	−7.33387	+	1.29316i	−0.923980	+	0.162923i
$64$	3.80717	+	6.59422i	0.475897	+	0.824277i
$65$	−0.413587	−	1.30174i	−0.0512991	−	0.161461i
$66$	0.435636	+	0.158558i	0.0536231	+	0.0195172i
$67$	−3.73984	+	10.2751i	−0.456894	+	1.25531i	0.470891	+	0.882191i	$0.343933\pi$
$67$	−3.73984	+	10.2751i	−0.456894	+	1.25531i	−0.927785	+	0.373115i	$0.878290\pi$
$68$	3.78352	+	2.18442i	0.458819	+	0.264899i
$69$	0.996723	+	1.72638i	0.119991	+	0.207831i
$70$	3.43649	−	5.42048i	0.410739	−	0.647871i
$71$	−0.519169	−	0.435634i	−0.0616140	−	0.0517003i	0.611461	−	0.791275i	$-0.290582\pi$
$71$	−0.519169	−	0.435634i	−0.0616140	−	0.0517003i	−0.673075	+	0.739575i	$0.735027\pi$
$72$	5.31128	+	6.32974i	0.625940	+	0.745967i
$73$	6.90688	+	1.21787i	0.808389	+	0.142541i	0.562543	−	0.826768i	$-0.309823\pi$
$73$	6.90688	+	1.21787i	0.808389	+	0.142541i	0.245846	+	0.969309i	$0.420934\pi$
$74$	−4.26244	+	1.55140i	−0.495499	+	0.180347i
$75$	−2.64611	+	0.243240i	−0.305546	+	0.0280869i
$76$	−2.91085	+	2.64914i	−0.333897	+	0.303877i
$77$			2.28224i			0.260086i
$78$	0.116292	+	0.319511i	0.0131675	+	0.0361775i
$79$	−0.604220	+	3.42670i	−0.0679801	+	0.385534i	0.931767	+	0.363056i	$0.118267\pi$
$79$	−0.604220	+	3.42670i	−0.0679801	+	0.385534i	−0.999747	+	0.0224781i	$0.992844\pi$
$80$	−3.08042	−	0.127706i	−0.344402	−	0.0142779i
$81$	5.00824	+	4.20241i	0.556471	+	0.466935i
$82$	−5.48434	+	0.967036i	−0.605644	+	0.106791i
$83$	−4.30834	+	2.48742i	−0.472902	+	0.273030i	−0.717454	−	0.696606i	$-0.754693\pi$
$83$	−4.30834	+	2.48742i	−0.472902	+	0.273030i	0.244552	+	0.969636i	$0.421359\pi$
$84$	0.657507	−	1.13884i	0.0717399	−	0.124257i
$85$	−9.58557	+	5.01676i	−1.03970	+	0.544145i
$86$	−10.2936	−	3.74656i	−1.10999	−	0.404002i
$87$	−1.82957	−	1.05630i	−0.196151	−	0.113248i
$88$	2.19302	−	1.26614i	0.233777	−	0.134971i
$89$	1.02256	+	5.79921i	0.108391	+	0.614716i	0.989812	+	0.142383i	$0.0454766\pi$
$89$	1.02256	+	5.79921i	0.108391	+	0.614716i	−0.881421	+	0.472332i	$0.843412\pi$
$90$	−6.30840	+	0.844638i	−0.664964	+	0.0890327i
$91$	−1.28227	+	1.07595i	−0.134418	+	0.112790i
$92$	3.33544	+	0.588129i	0.347744	+	0.0613167i
$93$	1.25906	+	3.45924i	0.130559	+	0.358707i
$94$	3.56134			0.367324
$95$	−1.68097	−	9.60075i	−0.172464	−	0.985016i
$96$	−2.46433			−0.251514
$97$	−4.25430	−	11.6886i	−0.431959	−	1.18680i	−0.944608	−	0.328200i	$-0.893558\pi$
$97$	−4.25430	−	11.6886i	−0.431959	−	1.18680i	0.512649	−	0.858598i	$-0.328664\pi$
$98$	−0.525449	−	0.0926508i	−0.0530783	−	0.00935914i
$99$	1.73377	−	1.45481i	0.174251	−	0.146214i
$100$	−2.57325	+	3.70961i	−0.257325	+	0.370961i
$101$	−3.08004	−	17.4678i	−0.306475	−	1.73811i	−0.616478	−	0.787372i	$-0.711441\pi$
$101$	−3.08004	−	17.4678i	−0.306475	−	1.73811i	0.310003	−	0.950736i	$-0.399670\pi$
$102$	2.33245	−	1.34664i	0.230947	−	0.133337i
$103$	4.51935	+	2.60925i	0.445305	+	0.257097i	0.705845	−	0.708366i	$-0.250567\pi$
$103$	4.51935	+	2.60925i	0.445305	+	0.257097i	−0.260541	+	0.965463i	$0.583901\pi$
$104$	1.74526	+	0.635222i	0.171137	+	0.0622887i
$105$	1.51004	+	2.88525i	0.147365	+	0.281571i
$106$	−7.15790	+	12.3979i	−0.695237	+	1.20419i
$107$	13.1524	−	7.59356i	1.27149	−	0.734097i	0.296225	−	0.955118i	$-0.404272\pi$
$107$	13.1524	−	7.59356i	1.27149	−	0.734097i	0.975269	+	0.221021i	$0.0709390\pi$
$108$	−2.70203	+	0.476440i	−0.260003	+	0.0458455i
$109$	−3.00487	−	2.52138i	−0.287814	−	0.241505i	0.487437	−	0.873158i	$-0.337932\pi$
$109$	−3.00487	−	2.52138i	−0.287814	−	0.241505i	−0.775251	+	0.631654i	$0.782376\pi$
$110$	−0.0807951	+	1.94888i	−0.00770351	+	0.185818i
$111$	0.399663	−	2.26660i	0.0379344	−	0.215137i
$112$	1.29227	+	3.55048i	0.122108	+	0.335489i
$113$			3.97342i			0.373788i	0.982380	+	0.186894i	$0.0598421\pi$
$113$			3.97342i			0.373788i	−0.982380	+	0.186894i	$0.940158\pi$
$114$	0.517097	+	2.37062i	0.0484306	+	0.222029i
$115$	−5.65279	+	6.19625i	−0.527126	+	0.577803i
$116$	−3.37289	+	1.22763i	−0.313165	+	0.113983i
$117$	1.63475	+	0.288251i	0.151133	+	0.0266488i
$118$	−6.74420	−	8.03742i	−0.620853	−	0.739904i
$119$	10.1569	+	8.52262i	0.931078	+	0.781267i
$120$	1.93471	−	3.05168i	0.176614	−	0.278579i
$121$	5.15319	+	8.92559i	0.468472	+	0.811417i
$122$	−8.22942	−	4.75126i	−0.745056	−	0.430158i
$123$	0.966441	−	2.65528i	0.0871411	−	0.239418i
$124$	5.87731	+	2.13917i	0.527798	+	0.192103i
$125$	−4.34660	−	10.3008i	−0.388772	−	0.921334i
$126$	3.90001	+	6.75501i	0.347440	+	0.601784i
$127$	9.04543	−	1.59495i	0.802652	−	0.141529i	0.242751	−	0.970089i	$-0.421950\pi$
$127$	9.04543	−	1.59495i	0.802652	−	0.141529i	0.559901	+	0.828559i	$0.310839\pi$
$128$	−0.834749	+	0.994815i	−0.0737821	+	0.0879301i
$129$	4.25781	−	3.57273i	0.374880	−	0.314561i
$130$	−1.13306	+	0.873392i	−0.0993757	+	0.0766016i
$131$	3.51355	−	1.27883i	0.306980	−	0.111732i	−0.183936	−	0.982938i	$-0.558884\pi$
$131$	3.51355	−	1.27883i	0.306980	−	0.111732i	0.490917	+	0.871206i	$0.336662\pi$
$132$			0.399656i			0.0347856i
$133$	−10.0959	+	6.38363i	−0.875429	+	0.553531i
$134$	11.4529			0.989379
$135$	2.58635	−	6.28305i	0.222597	−	0.540759i
$136$	2.55462	−	14.4880i	0.219057	−	1.24233i
$137$	−1.51913	−	1.81043i	−0.129788	−	0.154675i	0.697237	−	0.716841i	$-0.254413\pi$
$137$	−1.51913	−	1.81043i	−0.129788	−	0.154675i	−0.827025	+	0.562166i	$0.809968\pi$
$138$	1.34210	−	1.59946i	0.114247	−	0.136155i
$139$	−0.424186	−	2.40568i	−0.0359790	−	0.204047i	0.961519	−	0.274737i	$-0.0885909\pi$
$139$	−0.424186	−	2.40568i	−0.0359790	−	0.204047i	−0.997498	+	0.0706903i	$0.977480\pi$
$140$	5.40434	+	1.18565i	0.456750	+	0.100205i
$141$	−0.903514	+	1.56493i	−0.0760896	+	0.131791i
$142$	−0.242784	+	0.667043i	−0.0203740	+	0.0559770i
$143$	0.173993	−	0.478042i	0.0145500	−	0.0399759i
$144$	1.87347	−	3.24495i	0.156123	−	0.270412i
$145$	1.90478	−	8.68223i	0.158183	−	0.721020i
$146$	−1.27560	−	7.23428i	−0.105569	−	0.598713i
$147$	0.174019	−	0.207388i	0.0143529	−	0.0171051i
$148$	−2.51356	−	2.99555i	−0.206613	−	0.246232i
$149$	−2.47773	+	14.0519i	−0.202984	+	1.15118i	0.697598	+	0.716490i	$0.254252\pi$
$149$	−2.47773	+	14.0519i	−0.202984	+	1.15118i	−0.900581	+	0.434687i	$0.856859\pi$
$150$	1.18733	+	2.51726i	0.0969450	+	0.205533i
$151$	2.34319			0.190686			0.0953432	−	0.995444i	$-0.469605\pi$
$151$	2.34319			0.190686			0.0953432	+	0.995444i	$0.469605\pi$
$152$	11.7351	+	6.15974i	0.951841	+	0.499621i
$153$		−	13.1487i		−	1.06301i
$154$	2.24627	−	0.817575i	0.181009	−	0.0658820i
$155$	−12.2673	+	9.45594i	−0.985330	+	0.759519i
$156$	−0.224545	+	0.188415i	−0.0179780	+	0.0150853i
$157$	−10.3969	+	12.3906i	−0.829765	+	0.988875i	0.170229	+	0.985405i	$0.445549\pi$
$157$	−10.3969	+	12.3906i	−0.829765	+	0.988875i	−0.999994	+	0.00347076i	$0.998895\pi$
$158$	3.58914	−	0.632862i	0.285536	−	0.0503478i
$159$	−3.63193	−	6.29068i	−0.288031	−	0.498884i
$160$	−3.13963	−	9.88179i	−0.248210	−	0.781224i
$161$	9.65891	+	3.51556i	0.761229	+	0.277065i
$162$	2.34205	−	6.43473i	0.184009	−	0.505560i
$163$	13.8787	+	8.01289i	1.08707	+	0.627618i	0.932794	−	0.360410i	$-0.117363\pi$
$163$	13.8787	+	8.01289i	1.08707	+	0.627618i	0.154273	+	0.988028i	$0.450697\pi$
$164$	−2.40044	−	4.15769i	−0.187443	−	0.324661i
$165$	−0.835883	−	0.529935i	−0.0650734	−	0.0412554i
$166$	3.99160	+	3.34935i	0.309809	+	0.259960i
$167$	−4.87006	−	5.80391i	−0.376856	−	0.449120i	0.543963	−	0.839109i	$-0.316923\pi$
$167$	−4.87006	−	5.80391i	−0.376856	−	0.449120i	−0.920819	+	0.389989i	$0.872479\pi$
$168$	−4.36086	−	0.768937i	−0.336448	−	0.0593248i
$169$	−11.8654	+	4.31865i	−0.912722	+	0.332204i
$170$	8.37155	+	7.63730i	0.642069	+	0.585754i
$171$	11.2851	+	3.60045i	0.862995	+	0.275333i
$172$		−	9.44344i		−	0.720056i
$173$	3.03100	+	8.32761i	0.230443	+	0.633136i	0.999985	−	0.00545960i	$-0.00173785\pi$
$173$	3.03100	+	8.32761i	0.230443	+	0.633136i	−0.769542	+	0.638596i	$0.779516\pi$
$174$	−0.384240	+	2.17914i	−0.0291292	+	0.165200i
$175$	−9.64581	+	9.73106i	−0.729155	+	0.735599i
$176$	−0.879653	−	0.738116i	−0.0663063	−	0.0556376i
$177$	5.24283	−	0.924452i	0.394075	−	0.0694860i
$178$	5.34148	−	3.08391i	0.400361	−	0.231149i
$179$	2.73273	−	4.73323i	0.204254	−	0.353778i	−0.745641	−	0.666348i	$-0.767857\pi$
$179$	2.73273	−	4.73323i	0.204254	−	0.353778i	0.949895	+	0.312570i	$0.101190\pi$
$180$	−2.54426	−	4.86135i	−0.189638	−	0.362343i
$181$	−17.6816	−	6.43559i	−1.31427	−	0.478354i	−0.412650	−	0.910890i	$-0.635397\pi$
$181$	−17.6816	−	6.43559i	−1.31427	−	0.478354i	−0.901617	+	0.432536i	$0.857619\pi$
$182$	1.51834	+	0.876613i	0.112547	+	0.0649789i
$183$	4.17561	−	2.41079i	0.308670	−	0.178211i
$184$	−1.98044	−	11.2317i	−0.146000	−	0.828009i
$185$	9.59812	−	1.28510i	0.705668	−	0.0944826i
$186$	2.95368	−	2.47843i	0.216574	−	0.181727i
$187$	−3.96838	−	0.699733i	−0.290197	−	0.0511695i
$188$	1.05006	+	2.88502i	0.0765835	+	0.210411i
$189$	−8.32680			−0.605686
$190$	−8.84723	+	5.09377i	−0.641845	+	0.369541i
$191$	−17.2606			−1.24893			−0.624465	−	0.781053i	$-0.714683\pi$
$191$	−17.2606			−1.24893			−0.624465	+	0.781053i	$0.714683\pi$
$192$	1.38404	+	3.80262i	0.0998846	+	0.274431i
$193$	7.36067	+	1.29789i	0.529833	+	0.0934238i	0.432164	−	0.901795i	$-0.357750\pi$
$193$	7.36067	+	1.29789i	0.529833	+	0.0934238i	0.0976691	+	0.995219i	$0.468861\pi$
$194$	−9.98032	+	8.37448i	−0.716545	+	0.601253i
$195$	−0.0963306	−	0.719470i	−0.00689838	−	0.0515223i
$196$	−0.0798727	−	0.452980i	−0.00570519	−	0.0323557i
$197$	−10.5724	+	6.10400i	−0.753255	+	0.434892i	−0.826869	−	0.562395i	$-0.809880\pi$
$197$	−10.5724	+	6.10400i	−0.753255	+	0.434892i	0.0736138	+	0.997287i	$0.476547\pi$
$198$	−2.05297	−	1.18528i	−0.145898	−	0.0842343i
$199$	−7.29002	−	2.65335i	−0.516776	−	0.188091i	0.0704481	−	0.997515i	$-0.477557\pi$
$199$	−7.29002	−	2.65335i	−0.516776	−	0.188091i	−0.587224	+	0.809424i	$0.699779\pi$
$200$	14.7019	+	3.87012i	1.03958	+	0.273659i
$201$	−2.90560	+	5.03265i	−0.204945	+	0.354976i
$202$	−16.0890	+	9.28901i	−1.13202	+	0.653573i
$203$	−10.7277	+	1.89159i	−0.752940	+	0.132764i
$204$	1.77862	+	1.49244i	0.124529	+	0.104492i
$205$	11.8788	+	0.492460i	0.829648	+	0.0343949i
$206$	0.949137	−	5.38282i	0.0661295	−	0.375039i
$207$	−3.48634	−	9.57865i	−0.242318	−	0.665762i
$208$		−	0.842208i		−	0.0583966i
$209$	1.68721	−	3.21434i	0.116707	−	0.222341i
$210$	2.29882	−	2.51983i	0.158634	−	0.173885i
$211$	−9.45058	+	3.43973i	−0.650605	+	0.236801i	−0.646175	−	0.763190i	$-0.723632\pi$
$211$	−9.45058	+	3.43973i	−0.650605	+	0.236801i	−0.00442979	+	0.999990i	$0.501410\pi$
$212$	−12.1539	−	2.14306i	−0.834734	−	0.147186i
$213$	−0.231519	−	0.275914i	−0.0158634	−	0.0189053i
$214$	−12.1855	−	10.2248i	−0.832983	−	0.698956i
$215$	19.7510	+	12.5218i	1.34701	+	0.853978i
$216$	4.61954	+	8.00127i	0.314320	+	0.544418i
$217$	16.4386	+	9.49081i	1.11592	+	0.644278i
$218$	−1.40519	+	3.86074i	−0.0951718	+	0.261482i
$219$	3.50252	+	1.27481i	0.236679	+	0.0861440i
$220$	−1.60260	+	0.509175i	−0.108047	+	0.0343286i
$221$	−1.47773	−	2.55950i	−0.0994027	−	0.172170i
$222$	−2.37405	+	0.418609i	−0.159336	+	0.0280952i
$223$	−18.2046	+	21.6954i	−1.21907	+	1.45283i	−0.366339	+	0.930482i	$0.619389\pi$
$223$	−18.2046	+	21.6954i	−1.21907	+	1.45283i	−0.852731	+	0.522350i	$0.825056\pi$
$224$	−9.73398	+	8.16778i	−0.650379	+	0.545733i
$225$	13.5412	+	1.12469i	0.902744	+	0.0749793i
$226$	3.91079	−	1.42341i	0.260142	−	0.0946839i
$227$			15.8786i			1.05390i	0.849897	+	0.526949i	$0.176664\pi$
$227$			15.8786i			1.05390i	−0.849897	+	0.526949i	$0.823336\pi$
$228$	−1.76796	+	1.11787i	−0.117086	+	0.0740330i
$229$	−11.3865			−0.752438			−0.376219	−	0.926531i	$-0.622776\pi$
$229$	−11.3865			−0.752438			−0.376219	+	0.926531i	$0.622776\pi$
$230$	8.12359	+	3.34399i	0.535654	+	0.220496i
$231$	−0.210619	+	1.19448i	−0.0138577	+	0.0785909i
$232$	7.76917	+	9.25894i	0.510071	+	0.607879i
$233$	10.1973	−	12.1527i	0.668050	−	0.796151i	−0.320467	−	0.947260i	$-0.603840\pi$
$233$	10.1973	−	12.1527i	0.668050	−	0.796151i	0.988517	+	0.151109i	$0.0482843\pi$
$234$	−0.301914	−	1.71224i	−0.0197368	−	0.111933i
$235$	−7.42638	−	1.62926i	−0.484443	−	0.106281i
$236$	4.52253	−	7.83325i	0.294392	−	0.509901i
$237$	−0.632473	+	1.73770i	−0.0410835	+	0.112876i
$238$	4.74975	−	13.0498i	0.307881	−	0.845895i
$239$	10.4324	−	18.0695i	0.674817	−	1.16882i	−0.301705	−	0.953401i	$-0.597556\pi$
$239$	10.4324	−	18.0695i	0.674817	−	1.16882i	0.976522	−	0.215416i	$-0.0691109\pi$
$240$	−1.60044	−	0.351118i	−0.103308	−	0.0226646i
$241$	4.93664	+	27.9971i	0.317997	+	1.80345i	0.554899	+	0.831917i	$0.312757\pi$
$241$	4.93664	+	27.9971i	0.317997	+	1.80345i	−0.236902	+	0.971533i	$0.576132\pi$
$242$	6.93885	−	8.26940i	0.446046	−	0.531577i
$243$	8.09293	+	9.64478i	0.519162	+	0.618713i
$244$	1.42252	−	8.06750i	0.0910673	−	0.516469i
$245$	1.05332	+	0.433587i	0.0672941	+	0.0277009i
$246$	−2.95963			−0.188699
$247$	2.60138	−	0.567434i	0.165522	−	0.0361049i
$248$		−	21.0612i		−	1.33739i
$249$	−2.48445	+	0.904266i	−0.157446	+	0.0573056i
$250$	−8.58135	+	7.96818i	−0.542732	+	0.503952i
$251$	19.0083	−	15.9499i	1.19979	−	1.00675i	0.200157	−	0.979764i	$-0.435855\pi$
$251$	19.0083	−	15.9499i	1.19979	−	1.00675i	0.999636	−	0.0269823i	$-0.00858979\pi$
$252$	−4.32227	+	5.15108i	−0.272277	+	0.324487i
$253$	−3.07645	+	0.542462i	−0.193415	+	0.0341043i
$254$	−4.81018	−	8.33148i	−0.301818	−	0.522763i
$255$	−5.47987	+	1.74106i	−0.343162	+	0.109029i
$256$	15.5885	+	5.67373i	0.974279	+	0.354608i
$257$	1.86135	−	5.11403i	0.116108	−	0.319004i	−0.868003	−	0.496559i	$-0.834597\pi$
$257$	1.86135	−	5.11403i	0.116108	−	0.319004i	0.984111	+	0.177555i	$0.0568188\pi$
$258$	−5.04170	−	2.91083i	−0.313882	−	0.181220i
$259$	−5.93379	−	10.2776i	−0.368708	−	0.638620i
$260$	−1.04161	−	0.660362i	−0.0645979	−	0.0409539i
$261$	8.27536	+	6.94385i	0.512232	+	0.429814i
$262$	−2.51734	−	3.00005i	−0.155522	−	0.185344i
$263$	−19.2231	−	3.38955i	−1.18535	−	0.209009i	−0.453992	−	0.891006i	$-0.650001\pi$
$263$	−19.2231	−	3.38955i	−1.18535	−	0.209009i	−0.731355	+	0.681997i	$0.761112\pi$
$264$	1.26463	−	0.460287i	0.0778325	−	0.0283287i
$265$	20.5980	−	22.5783i	1.26533	−	1.38697i
$266$	9.89970	+	7.64996i	0.606990	+	0.469049i
$267$			3.12956i			0.191526i
$268$	3.37688	+	9.27790i	0.206276	+	0.566738i
$269$	−3.22722	+	18.3025i	−0.196767	+	1.11592i	0.713113	+	0.701049i	$0.247285\pi$
$269$	−3.22722	+	18.3025i	−0.196767	+	1.11592i	−0.909880	+	0.414872i	$0.863826\pi$
$270$	−7.11052	−	0.294782i	−0.432732	−	0.0179399i
$271$	1.44946	+	1.21624i	0.0880485	+	0.0738815i	0.685749	−	0.727838i	$-0.259475\pi$
$271$	1.44946	+	1.21624i	0.0880485	+	0.0738815i	−0.597701	+	0.801719i	$0.703919\pi$
$272$	−6.56980	+	1.15843i	−0.398353	+	0.0702403i
$273$	−0.770406	+	0.444794i	−0.0466271	+	0.0269202i
$274$	−1.23769	+	2.14374i	−0.0747715	+	0.129508i
$275$	1.06006	−	4.02699i	0.0639241	−	0.242837i
$276$	1.69143	+	0.615629i	0.101812	+	0.0370565i
$277$	−5.87068	−	3.38944i	−0.352735	−	0.203652i	0.313154	−	0.949702i	$-0.398614\pi$
$277$	−5.87068	−	3.38944i	−0.352735	−	0.203652i	−0.665889	+	0.746051i	$0.731948\pi$
$278$	−2.21580	+	1.27929i	−0.132895	+	0.0767269i
$279$	−3.26873	−	18.5379i	−0.195694	−	1.10984i
$280$	−2.47249	−	18.4664i	−0.147759	−	1.10358i
$281$	−9.41170	+	7.89735i	−0.561455	+	0.471116i	−0.878798	−	0.477194i	$-0.841654\pi$
$281$	−9.41170	+	7.89735i	−0.561455	+	0.471116i	0.317343	+	0.948311i	$0.397209\pi$
$282$	1.86393	+	0.328661i	0.110995	+	0.0195715i
$283$	−8.77851	−	24.1188i	−0.521829	−	1.43371i	−0.868483	−	0.495719i	$-0.834905\pi$
$283$	−8.77851	−	24.1188i	−0.521829	−	1.43371i	0.346654	−	0.937993i	$-0.387318\pi$
$284$	−0.611952			−0.0363126
$285$	0.00623036	−	5.17996i	0.000369055	−	0.306834i
$286$	−0.532837			−0.0315073
$287$	−4.98326	−	13.6914i	−0.294152	−	0.808177i
$288$	12.4098	+	2.18818i	0.731253	+	0.128940i
$289$	−4.91052	+	4.12042i	−0.288854	+	0.242377i
$290$	−9.22772	+	1.23551i	−0.541871	+	0.0725516i
$291$	−1.14792	−	6.51018i	−0.0672923	−	0.381634i
$292$	5.48433	−	3.16638i	0.320946	−	0.185298i
$293$	24.3458	+	14.0560i	1.42229	+	0.821162i	0.996495	−	0.0836552i	$-0.0266594\pi$
$293$	24.3458	+	14.0560i	1.42229	+	0.821162i	0.425800	+	0.904817i	$0.359993\pi$
$294$	−0.266459	−	0.0969830i	−0.0155402	−	0.00565616i
$295$	10.3865	+	19.8456i	0.604726	+	1.15546i
$296$	−6.58388	+	11.4036i	−0.382680	+	0.662822i
$297$	2.19162	−	1.26533i	0.127171	−	0.0734220i
$298$	14.7180	−	2.59518i	0.852591	−	0.150335i
$299$	−1.75515	−	1.47275i	−0.101503	−	0.0851712i
$300$	−1.68913	+	1.70406i	−0.0975221	+	0.0983840i
$301$	4.97669	−	28.2242i	0.286852	−	1.62682i
$302$	−0.839409	−	2.30626i	−0.0483025	−	0.132710i
$303$		−	9.42651i		−	0.541539i
$304$	0.804733	−	5.95588i	0.0461546	−	0.341593i
$305$	14.9870	+	13.6725i	0.858152	+	0.782886i
$306$	−12.9414	+	4.71028i	−0.739810	+	0.269269i
$307$	2.53762	+	0.447450i	0.144829	+	0.0255373i	0.245593	−	0.969373i	$-0.421017\pi$
$307$	2.53762	+	0.447450i	0.144829	+	0.0255373i	−0.100763	+	0.994910i	$0.532128\pi$
$308$	1.32462	+	1.57862i	0.0754774	+	0.0899504i
$309$	2.12454	+	1.78270i	0.120861	+	0.101414i
$310$	13.7014	+	8.68645i	0.778188	+	0.493357i
$311$	−7.31837	−	12.6758i	−0.414987	−	0.718778i	0.580440	−	0.814303i	$-0.302880\pi$
$311$	−7.31837	−	12.6758i	−0.414987	−	0.718778i	−0.995427	+	0.0955246i	$0.969547\pi$
$312$	0.854810	+	0.493525i	0.0483941	+	0.0279403i
$313$	0.511007	−	1.40398i	0.0288838	−	0.0793577i	−0.924413	−	0.381394i	$-0.875444\pi$
$313$	0.511007	−	1.40398i	0.0288838	−	0.0793577i	0.953296	+	0.302036i	$0.0976664\pi$
$314$	15.9198	+	5.79432i	0.898405	+	0.326993i
$315$	−5.04228	−	15.8702i	−0.284100	−	0.894187i
$316$	1.57093	+	2.72094i	0.0883719	+	0.153065i
$317$	5.55662	−	0.979782i	0.312091	−	0.0550301i	−0.0154089	−	0.999881i	$-0.504905\pi$
$317$	5.55662	−	0.979782i	0.312091	−	0.0550301i	0.327500	+	0.944851i	$0.393794\pi$
$318$	−4.89044	+	5.82820i	−0.274242	+	0.326829i
$319$	2.53611	−	2.12805i	0.141995	−	0.119148i
$320$	−13.4850	+	10.3946i	−0.753832	+	0.581075i
$321$	7.58449	−	2.76053i	0.423325	−	0.154078i
$322$		−	10.7660i		−	0.599968i
$323$	−8.00451	−	19.5121i	−0.445383	−	1.08568i
$324$	5.90329			0.327960
$325$	2.76230	−	1.30291i	0.153225	−	0.0722723i
$326$	2.91476	−	16.5304i	0.161434	−	0.915536i
$327$	−1.34000	−	1.59694i	−0.0741019	−	0.0883113i
$328$	−10.3915	+	12.3841i	−0.573776	+	0.683800i
$329$	1.61798	+	9.17601i	0.0892021	+	0.505890i
$330$	−0.222140	+	1.01255i	−0.0122284	+	0.0557389i
$331$	−15.9460	+	27.6193i	−0.876472	+	1.51809i	−0.0212866	+	0.999773i	$0.506776\pi$
$331$	−15.9460	+	27.6193i	−0.876472	+	1.51809i	−0.855186	+	0.518321i	$0.826557\pi$
$332$	−1.53636	+	4.22113i	−0.0843189	+	0.231664i
$333$	−4.02522	+	11.0592i	−0.220581	+	0.606041i
$334$	−3.96780	+	6.87244i	−0.217109	+	0.376043i
$335$	−23.8824	−	5.23952i	−1.30484	−	0.286265i
$336$	0.348687	+	1.97750i	0.0190224	+	0.107882i
$337$	9.85896	−	11.7495i	0.537052	−	0.640033i	−0.427472	−	0.904029i	$-0.640596\pi$
$337$	9.85896	−	11.7495i	0.537052	−	0.640033i	0.964524	+	0.263995i	$0.0850402\pi$
$338$	8.50114	+	10.1313i	0.462401	+	0.551068i
$339$	−0.366691	+	2.07961i	−0.0199159	+	0.112949i
$340$	−3.71857	+	9.03359i	−0.201668	+	0.489915i
$341$	−5.76886			−0.312401
$342$	−0.499010	−	12.3970i	−0.0269834	−	0.670355i
$343$			17.7864i			0.960373i
$344$	−29.8818	+	10.8761i	−1.61112	+	0.586399i
$345$	−3.53038	+	2.72132i	−0.190069	+	0.146511i
$346$	7.11053	−	5.96644i	0.382264	−	0.320758i
$347$	−0.0531571	+	0.0633501i	−0.00285362	+	0.00340081i	−0.767469	−	0.641086i	$-0.778484\pi$
$347$	−0.0531571	+	0.0633501i	−0.00285362	+	0.00340081i	0.764616	+	0.644486i	$0.222929\pi$
$348$	−1.87860	+	0.331247i	−0.100703	+	0.0177567i
$349$	−2.32166	−	4.02124i	−0.124276	−	0.215252i	0.797174	−	0.603750i	$-0.206327\pi$
$349$	−2.32166	−	4.02124i	−0.124276	−	0.215252i	−0.921450	+	0.388498i	$0.872994\pi$
$350$	13.0331	+	6.00777i	0.696649	+	0.321129i
$351$	1.74415	+	0.634817i	0.0930956	+	0.0338840i
$352$	1.32082	−	3.62893i	0.0704001	−	0.193423i
$353$	−3.45892	−	1.99701i	−0.184100	−	0.106290i	0.405118	−	0.914265i	$-0.367231\pi$
$353$	−3.45892	−	1.99701i	−0.184100	−	0.106290i	−0.589218	+	0.807974i	$0.700564\pi$
$354$	−2.78803	−	4.82901i	−0.148182	−	0.256659i
$355$	0.811433	−	1.27990i	0.0430664	−	0.0679300i
$356$	4.07319	+	3.41781i	0.215878	+	0.181144i
$357$	4.52937	+	5.39790i	0.239720	+	0.285687i
$358$	−5.63757	−	0.994055i	−0.297955	−	0.0525374i
$359$	28.3973	−	10.3358i	1.49875	−	0.545502i	0.543017	−	0.839722i	$-0.317282\pi$
$359$	28.3973	−	10.3358i	1.49875	−	0.545502i	0.955738	+	0.294220i	$0.0950598\pi$
$360$	−12.4525	+	13.6496i	−0.656302	+	0.719399i
$361$	18.9385	−	1.52712i	0.996765	−	0.0803746i
$362$			19.7084i			1.03585i
$363$	1.87337	+	5.14704i	0.0983263	+	0.270149i
$364$	−0.262456	+	1.48846i	−0.0137564	+	0.0780167i
$365$	−0.649594	+	15.6690i	−0.0340013	+	0.820155i
$366$	−3.86863	−	3.24617i	−0.202217	−	0.169680i
$367$	17.8643	−	3.14996i	0.932511	−	0.164427i	0.313302	−	0.949653i	$-0.398565\pi$
$367$	17.8643	−	3.14996i	0.932511	−	0.164427i	0.619208	+	0.785227i	$0.287454\pi$
$368$	−4.47887	+	2.58588i	−0.233477	+	0.134798i
$369$	−7.22450	+	12.5132i	−0.376092	+	0.651411i
$370$	−4.70320	−	8.98645i	−0.244508	−	0.467183i
$371$	−35.1958	−	12.8102i	−1.82727	−	0.665074i
$372$	2.87865	+	1.66199i	0.149251	+	0.0861701i
$373$	−21.8369	+	12.6075i	−1.13067	+	0.652794i	−0.944104	−	0.329648i	$-0.893070\pi$
$373$	−21.8369	+	12.6075i	−1.13067	+	0.652794i	−0.186568	+	0.982442i	$0.559736\pi$
$374$	0.732902	+	4.15649i	0.0378975	+	0.214927i
$375$	−1.32430	−	5.79237i	−0.0683866	−	0.299117i
$376$	7.91966	−	6.64538i	0.408425	−	0.342710i
$377$	2.39126	+	0.421644i	0.123156	+	0.0217158i
$378$	2.98293	+	8.19554i	0.153426	+	0.421533i
$379$	27.5634			1.41584			0.707918	−	0.706294i	$-0.249634\pi$
$379$	27.5634			1.41584			0.707918	+	0.706294i	$0.249634\pi$
$380$	−6.73503	−	5.66518i	−0.345500	−	0.290618i
$381$	4.88138			0.250081
$382$	6.18330	+	16.9885i	0.316365	+	0.869206i
$383$	18.0453	+	3.18187i	0.922072	+	0.162586i	0.614480	−	0.788932i	$-0.289366\pi$
$383$	18.0453	+	3.18187i	0.922072	+	0.162586i	0.307592	+	0.951518i	$0.400477\pi$
$384$	−0.528698	+	0.443630i	−0.0269800	+	0.0226389i
$385$	−5.05812	+	0.677236i	−0.257785	+	0.0345152i
$386$	−1.35941	−	7.70959i	−0.0691921	−	0.392408i
$387$	−24.6137	+	14.2107i	−1.25119	+	0.722372i
$388$	−9.72680	−	5.61577i	−0.493803	−	0.285098i
$389$	−6.75172	−	2.45743i	−0.342326	−	0.124596i	0.165136	−	0.986271i	$-0.447194\pi$
$389$	−6.75172	−	2.45743i	−0.342326	−	0.124596i	−0.507461	+	0.861674i	$0.669416\pi$
$390$	−0.673620	+	0.352550i	−0.0341101	+	0.0178521i
$391$	−9.07429	+	15.7171i	−0.458906	+	0.794849i
$392$	−1.34137	+	0.774441i	−0.0677495	+	0.0391152i
$393$	1.95694	−	0.345061i	0.0987144	−	0.0174060i
$394$	9.79517	+	8.21913i	0.493474	+	0.414074i
$395$	−7.77387	−	0.322283i	−0.391146	−	0.0162158i
$396$	0.354871	−	2.01257i	0.0178330	−	0.101136i
$397$	−4.00993	−	11.0172i	−0.201252	−	0.552937i	0.797476	−	0.603351i	$-0.206168\pi$
$397$	−4.00993	−	11.0172i	−0.201252	−	0.552937i	−0.998728	+	0.0504142i	$0.983946\pi$
$398$			8.12562i			0.407301i
$399$	−5.87312	+	2.40935i	−0.294024	+	0.120618i
$400$	−0.631056	−	6.86500i	−0.0315528	−	0.343250i
$401$	−36.8475	+	13.4114i	−1.84008	+	0.669734i	−0.850455	+	0.526048i	$0.823673\pi$
$401$	−36.8475	+	13.4114i	−1.84008	+	0.669734i	−0.989623	+	0.143686i	$0.954105\pi$
$402$	5.99420	+	1.05694i	0.298964	+	0.0527154i
$403$	−2.71969	−	3.24120i	−0.135477	−	0.161456i
$404$	−12.2688	−	10.2948i	−0.610396	−	0.512183i
$405$	−7.82761	+	12.3467i	−0.388957	+	0.613515i
$406$	5.70480	+	9.88101i	0.283125	+	0.490386i
$407$	3.12355	+	1.80339i	0.154829	+	0.0893905i
$408$	2.67407	−	7.34694i	0.132386	−	0.363728i
$409$	8.34099	+	3.03587i	0.412436	+	0.150114i	0.539901	−	0.841729i	$-0.318462\pi$
$409$	8.34099	+	3.03587i	0.412436	+	0.150114i	−0.127465	+	0.991843i	$0.540684\pi$
$410$	−3.77066	−	11.8679i	−0.186220	−	0.586115i
$411$	−0.628004	−	1.08773i	−0.0309772	−	0.0536540i
$412$	4.64044	−	0.818235i	0.228618	−	0.0403115i
$413$	17.6449	−	21.0284i	0.868249	−	1.03474i
$414$	−8.17873	+	6.86277i	−0.401963	+	0.337287i
$415$	−6.79132	−	8.81042i	−0.333373	−	0.432487i
$416$	2.66159	−	0.968738i	0.130495	−	0.0474963i
$417$		−	1.29823i		−	0.0635745i
$418$	−3.76809	−	0.509128i	−0.184303	−	0.0249022i
$419$	7.80196			0.381151			0.190575	−	0.981673i	$-0.438965\pi$
$419$	7.80196			0.381151			0.190575	+	0.981673i	$0.438965\pi$
$420$	2.71910	+	1.11929i	0.132679	+	0.0546156i
$421$	6.00077	−	34.0320i	0.292459	−	1.65862i	−0.384893	−	0.922961i	$-0.625762\pi$
$421$	6.00077	−	34.0320i	0.292459	−	1.65862i	0.677352	−	0.735659i	$-0.263127\pi$
$422$	6.77101	+	8.06938i	0.329608	+	0.392811i
$423$	5.93945	−	7.07836i	0.288786	−	0.344161i
$424$	7.21648	+	40.9267i	0.350463	+	1.98758i
$425$	−13.9630	−	19.7557i	−0.677307	−	0.958294i
$426$	−0.188627	+	0.326711i	−0.00913899	+	0.0158292i
$427$	8.50314	−	23.3622i	0.411496	−	1.13058i
$428$	4.69018	−	12.8862i	0.226709	−	0.622877i
$429$	0.135181	−	0.234140i	0.00652660	−	0.0113044i
$430$	5.24894	−	23.9254i	0.253126	−	1.15378i
$431$	0.493077	+	2.79638i	0.0237507	+	0.134697i	0.994377	−	0.105893i	$-0.0337702\pi$
$431$	0.493077	+	2.79638i	0.0237507	+	0.134697i	−0.970627	+	0.240590i	$0.922659\pi$
$432$	2.69303	−	3.20943i	0.129568	−	0.154414i
$433$	−14.0467	−	16.7402i	−0.675040	−	0.804481i	0.314421	−	0.949284i	$-0.398190\pi$
$433$	−14.0467	−	16.7402i	−0.675040	−	0.804481i	−0.989461	+	0.144803i	$0.953745\pi$
$434$	3.45237	−	19.5794i	0.165719	−	0.939839i
$435$	1.79817	−	4.36832i	0.0862155	−	0.209445i
$436$	−3.54188			−0.169625
$437$	−11.0048	−	12.0920i	−0.526430	−	0.578437i
$438$		−	3.90399i		−	0.186540i
$439$	30.6114	−	11.1416i	1.46100	−	0.531761i	0.515361	−	0.856973i	$-0.327658\pi$
$439$	30.6114	−	11.1416i	1.46100	−	0.531761i	0.945641	+	0.325212i	$0.105436\pi$
$440$	3.45690	+	4.48465i	0.164801	+	0.213798i
$441$	−1.06047	+	0.889839i	−0.0504985	+	0.0423733i
$442$	−1.98978	+	2.37133i	−0.0946442	+	0.112793i
$443$	−7.64381	+	1.34781i	−0.363169	+	0.0640364i	−0.352255	−	0.935904i	$-0.614585\pi$
$443$	−7.64381	+	1.34781i	−0.363169	+	0.0640364i	−0.0109135	+	0.999940i	$0.503474\pi$
$444$	−1.03910	−	1.79977i	−0.0493134	−	0.0854134i
$445$	−12.5493	+	3.98715i	−0.594894	+	0.189009i
$446$	27.8749	+	10.1456i	1.31991	+	0.480409i
$447$	−2.59358	+	7.12581i	−0.122672	+	0.337039i
$448$	18.0703	+	10.4329i	0.853743	+	0.492909i
$449$	11.4911	+	19.9031i	0.542296	+	0.939285i	0.998772	+	0.0495489i	$0.0157784\pi$
$449$	11.4911	+	19.9031i	0.542296	+	0.939285i	−0.456475	+	0.889736i	$0.650888\pi$
$450$	−3.74393	−	13.7306i	−0.176490	−	0.647267i
$451$	3.39213	+	2.84633i	0.159729	+	0.134029i
$452$	2.30619	+	2.74841i	0.108474	+	0.129274i
$453$	1.22638	+	0.216244i	0.0576203	+	0.0101600i
$454$	15.6283	−	5.68822i	0.733470	−	0.266961i
$455$	−2.76512	−	2.52260i	−0.129631	−	0.118261i
$456$	5.57344	+	4.30686i	0.261000	+	0.201687i
$457$		−	3.38866i		−	0.158515i	−0.996854	−	0.0792573i	$-0.974745\pi$
$457$		−	3.38866i		−	0.158515i	0.996854	−	0.0792573i	$-0.0252549\pi$
$458$	4.07900	+	11.2070i	0.190599	+	0.523667i
$459$	2.55299	−	14.4787i	0.119163	−	0.675808i
$460$	−0.313700	+	7.56684i	−0.0146263	+	0.352806i
$461$	−8.31382	−	6.97612i	−0.387213	−	0.324910i	0.428313	−	0.903630i	$-0.359108\pi$
$461$	−8.31382	−	6.97612i	−0.387213	−	0.324910i	−0.815526	+	0.578720i	$0.803552\pi$
$462$	1.25110	−	0.220603i	0.0582064	−	0.0102634i
$463$	6.33213	−	3.65586i	0.294279	−	0.169902i	−0.345591	−	0.938385i	$-0.612322\pi$
$463$	6.33213	−	3.65586i	0.294279	−	0.169902i	0.639870	+	0.768483i	$0.278988\pi$
$464$	2.74045	−	4.74660i	0.127222	−	0.220355i
$465$	−7.29307	+	3.81695i	−0.338208	+	0.177007i
$466$	−15.6142	−	5.68309i	−0.723313	−	0.263264i
$467$	−9.38929	−	5.42091i	−0.434484	−	0.250850i	0.266771	−	0.963760i	$-0.414043\pi$
$467$	−9.38929	−	5.42091i	−0.434484	−	0.250850i	−0.701255	+	0.712910i	$0.747377\pi$
$468$	1.29806	−	0.749433i	0.0600026	−	0.0346425i
$469$	5.20325	+	29.5091i	0.240264	+	1.36260i
$470$	1.05680	+	7.89296i	0.0487464	+	0.364075i
$471$	−6.58501	+	5.52548i	−0.303421	+	0.254601i
$472$	−29.9953	−	5.28898i	−1.38065	−	0.243445i
$473$	2.97906	+	8.18489i	0.136977	+	0.376342i
$474$	1.93688			0.0889640
$475$	20.7792	−	6.57445i	0.953417	−	0.301656i
$476$	11.9720			0.548738
$477$	12.7038	+	34.9033i	0.581666	+	1.59811i
$478$	−21.5219	−	3.79489i	−0.984388	−	0.173574i
$479$	−2.64084	+	2.21593i	−0.120663	+	0.101249i	−0.701123	−	0.713041i	$-0.747317\pi$
$479$	−2.64084	+	2.21593i	−0.120663	+	0.101249i	0.580459	+	0.814289i	$0.302873\pi$
$480$	−0.731268	−	5.46167i	−0.0333777	−	0.249290i
$481$	0.459357	+	2.60515i	0.0209449	+	0.118784i
$482$	25.7873	−	14.8883i	1.17458	−	0.678143i
$483$	4.73084	+	2.73135i	0.215261	+	0.124281i
$484$	8.74490	+	3.18288i	0.397495	+	0.144677i
$485$	24.6429	−	12.8973i	1.11898	−	0.585635i
$486$	6.59359	−	11.4204i	0.299091	−	0.518042i
$487$	−23.3802	+	13.4986i	−1.05946	+	0.611680i	−0.925283	−	0.379278i	$-0.876172\pi$
$487$	−23.3802	+	13.4986i	−1.05946	+	0.611680i	−0.134177	+	0.990957i	$0.542839\pi$
$488$	−27.1662	+	4.79014i	−1.22976	+	0.216839i
$489$	6.52436	+	5.47459i	0.295042	+	0.247570i
$490$	0.0494187	−	1.19204i	0.00223251	−	0.0538509i
$491$	0.0423665	−	0.240272i	0.00191197	−	0.0108433i	−0.983837	−	0.179067i	$-0.942692\pi$
$491$	0.0423665	−	0.240272i	0.00191197	−	0.0108433i	0.985749	+	0.168224i	$0.0538032\pi$
$492$	−0.872646	−	2.39758i	−0.0393419	−	0.108091i
$493$		−	19.2334i		−	0.866231i
$494$	−1.49039	−	2.35710i	−0.0670558	−	0.106051i
$495$	3.73876	+	3.41084i	0.168045	+	0.153306i
$496$	−8.97458	+	3.26648i	−0.402971	+	0.146669i
$497$	−1.82898	−	0.322498i	−0.0820409	−	0.0144660i
$498$	1.78002	+	2.12135i	0.0797648	+	0.0950600i
$499$	2.48864	+	2.08821i	0.111407	+	0.0934813i	0.696789	−	0.717276i	$-0.254611\pi$
$499$	2.48864	+	2.08821i	0.111407	+	0.0934813i	−0.585383	+	0.810757i	$0.699056\pi$
$500$	−8.98518	−	4.60228i	−0.401829	−	0.205820i
$501$	−2.01327	−	3.48708i	−0.0899462	−	0.155791i
$502$	−22.5078	−	12.9949i	−1.00457	−	0.579991i
$503$	2.43705	−	6.69573i	0.108663	−	0.298548i	−0.873429	−	0.486951i	$-0.838109\pi$
$503$	2.43705	−	6.69573i	0.108663	−	0.298548i	0.982092	+	0.188403i	$0.0603312\pi$
$504$	21.2775	+	7.74437i	0.947774	+	0.344962i
$505$	37.7997	−	12.0097i	1.68206	−	0.534423i
$506$	1.63600	+	2.83363i	0.0727289	+	0.125970i
$507$	−6.60865	+	1.16528i	−0.293500	+	0.0517520i
$508$	5.33099	−	6.35323i	0.236524	−	0.281879i
$509$	−1.32543	+	1.11216i	−0.0587485	+	0.0492958i	−0.671689	−	0.740833i	$-0.734431\pi$
$509$	−1.32543	+	1.11216i	−0.0587485	+	0.0492958i	0.612941	+	0.790129i	$0.289986\pi$
$510$	3.67668	+	4.76978i	0.162806	+	0.211209i
$511$	18.0600	−	6.57332i	0.798929	−	0.290787i
$512$		−	14.7780i		−	0.653100i
$513$	11.7276	+	6.15580i	0.517786	+	0.271785i
$514$	−5.70021			−0.251426
$515$	−4.44177	+	10.7905i	−0.195728	+	0.475484i
$516$	0.871496	−	4.94250i	0.0383655	−	0.217581i
$517$	−1.82023	−	2.16927i	−0.0800537	−	0.0954042i
$518$	−7.98993	+	9.52203i	−0.351058	+	0.418374i
$519$	0.817842	+	4.63821i	0.0358993	+	0.203595i
$520$	−0.889947	+	4.05650i	−0.0390267	+	0.177889i
$521$	−6.40164	+	11.0880i	−0.280461	+	0.485773i	−0.971498	−	0.237046i	$-0.923821\pi$
$521$	−6.40164	+	11.0880i	−0.280461	+	0.485773i	0.691037	+	0.722819i	$0.257154\pi$
$522$	3.86989	−	10.6324i	0.169380	−	0.465369i
$523$	2.98119	−	8.19075i	0.130358	−	0.358157i	−0.857292	−	0.514830i	$-0.827855\pi$
$523$	2.98119	−	8.19075i	0.130358	−	0.358157i	0.987650	+	0.156674i	$0.0500771\pi$
$524$	1.68808	−	2.92384i	0.0737441	−	0.127729i
$525$	−5.94646	+	4.20286i	−0.259525	+	0.183428i
$526$	3.55023	+	20.1343i	0.154797	+	0.877898i
$527$	−21.5427	+	25.6736i	−0.938416	+	1.11836i
$528$	−0.392274	−	0.467494i	−0.0170715	−	0.0203451i
$529$	1.55076	−	8.79481i	0.0674244	−	0.382383i
$530$	−29.6013	−	12.1850i	−1.28580	−	0.529284i
$531$	−27.2225			−1.18136
$532$	−3.27826	+	10.2753i	−0.142131	+	0.445489i
$533$			3.24773i			0.140675i
$534$	3.08022	−	1.12111i	0.133294	−	0.0485151i
$535$	20.7324	+	26.8963i	0.896340	+	1.16283i
$536$	25.4688	−	21.3708i	1.10008	−	0.923080i
$537$	1.86706	−	2.22508i	0.0805697	−	0.0960193i
$538$	19.1701	−	3.38020i	0.826480	−	0.145731i
$539$	0.212126	+	0.367414i	0.00913693	+	0.0158256i
$540$	−1.85773	−	5.84710i	−0.0799441	−	0.251619i
$541$	−10.3511	−	3.76748i	−0.445027	−	0.161977i	0.109780	−	0.993956i	$-0.464985\pi$
$541$	−10.3511	−	3.76748i	−0.445027	−	0.161977i	−0.554806	+	0.831979i	$0.687208\pi$
$542$	0.677825	−	1.86231i	0.0291151	−	0.0799931i
$543$	−8.66029	−	5.00002i	−0.371649	−	0.214571i
$544$	−11.2178	−	19.4297i	−0.480958	−	0.833043i
$545$	4.69645	−	7.40785i	0.201174	−	0.317318i
$546$	0.713767	+	0.598922i	0.0305464	+	0.0256315i
$547$	11.8246	+	14.0921i	0.505585	+	0.602533i	0.957110	−	0.289726i	$-0.0935642\pi$
$547$	11.8246	+	14.0921i	0.505585	+	0.602533i	−0.451525	+	0.892259i	$0.649120\pi$
$548$	−2.10156	−	0.370562i	−0.0897741	−	0.0158296i
$549$	−23.1680	+	8.43248i	−0.988788	+	0.359889i
$550$	−4.34326	+	0.399248i	−0.185197	+	0.0170240i
$551$	16.5075	+	5.26662i	0.703244	+	0.224366i
$552$		−	6.06118i		−	0.257981i
$553$	3.26122	+	8.96012i	0.138681	+	0.381023i
$554$	−1.23294	+	6.99234i	−0.0523825	+	0.297076i
$555$	5.14205	+	0.213175i	0.218268	+	0.00904877i
$556$	−1.68967	−	1.41780i	−0.0716581	−	0.0601283i
$557$	0.199028	−	0.0350939i	0.00843307	−	0.00148698i	−0.169430	−	0.985542i	$-0.554193\pi$
$557$	0.199028	−	0.0350939i	0.00843307	−	0.00148698i	0.177863	+	0.984055i	$0.443082\pi$
$558$	−17.0747	+	9.85809i	−0.722830	+	0.417326i
$559$	−3.19418	+	5.53248i	−0.135099	+	0.233999i
$560$	−7.48542	+	3.91761i	−0.316317	+	0.165549i
$561$	−2.01239	−	0.732451i	−0.0849633	−	0.0309241i
$562$	11.1444	+	6.43424i	0.470100	+	0.271412i
$563$	−5.85758	+	3.38187i	−0.246867	+	0.142529i	−0.618329	−	0.785919i	$-0.712190\pi$
$563$	−5.85758	+	3.38187i	−0.246867	+	0.142529i	0.371462	+	0.928448i	$0.378857\pi$
$564$	0.283333	+	1.60686i	0.0119305	+	0.0676611i
$565$	−8.80626	+	1.17908i	−0.370482	+	0.0496043i
$566$	−20.5938	+	17.2803i	−0.865623	+	0.726344i
$567$	17.6435	+	3.11103i	0.740958	+	0.130651i
$568$	0.704789	+	1.93639i	0.0295723	+	0.0812492i
$569$	−7.15701			−0.300038			−0.150019	−	0.988683i	$-0.547933\pi$
$569$	−7.15701			−0.300038			−0.150019	+	0.988683i	$0.547933\pi$
$570$	−5.10054	+	1.84950i	−0.213638	+	0.0774670i
$571$	−18.3153			−0.766471			−0.383236	−	0.923651i	$-0.625190\pi$
$571$	−18.3153			−0.766471			−0.383236	+	0.923651i	$0.625190\pi$
$572$	−0.157107	−	0.431647i	−0.00656896	−	0.0180481i
$573$	−9.03382	−	1.59291i	−0.377393	−	0.0665446i
$574$	−11.6904	+	9.80941i	−0.487948	+	0.409437i
$575$	−15.4101	−	10.6895i	−0.642646	−	0.445785i
$576$	−3.59320	−	20.3781i	−0.149717	−	0.849086i
$577$	18.6883	−	10.7897i	0.778006	−	0.449182i	−0.0577173	−	0.998333i	$-0.518382\pi$
$577$	18.6883	−	10.7897i	0.778006	−	0.449182i	0.835723	+	0.549151i	$0.185049\pi$
$578$	5.81457	+	3.35704i	0.241854	+	0.139635i
$579$	3.73265	+	1.35857i	0.155124	+	0.0564603i
$580$	−3.72167	−	7.11102i	−0.154534	−	0.295269i
$581$	−6.81636	+	11.8063i	−0.282790	+	0.489807i
$582$	−5.99634	+	3.46199i	−0.248556	+	0.143504i
$583$	11.2102	−	1.97666i	0.464278	−	0.0818648i
$584$	−16.3357	−	13.7073i	−0.675975	−	0.567210i
$585$	−0.153749	+	3.70862i	−0.00635673	+	0.153333i
$586$	5.11301	−	28.9973i	0.211216	−	1.19787i
$587$	9.89913	+	27.1976i	0.408581	+	1.12257i	0.957937	+	0.286978i	$0.0926508\pi$
$587$	9.89913	+	27.1976i	0.408581	+	1.12257i	−0.549356	+	0.835588i	$0.685127\pi$
$588$		−	0.244452i		−	0.0100810i
$589$	−16.1360	−	25.5196i	−0.664872	−	1.05152i
$590$	15.8120	−	17.3321i	0.650969	−	0.713553i
$591$	−6.09671	+	2.21902i	−0.250785	+	0.0912783i
$592$	5.88043	+	1.03688i	0.241684	+	0.0426154i
$593$	11.4565	+	13.6533i	0.470461	+	0.560674i	0.948137	−	0.317863i	$-0.102965\pi$
$593$	11.4565	+	13.6533i	0.470461	+	0.560674i	−0.477676	+	0.878536i	$0.658521\pi$
$594$	−2.03050	−	1.70379i	−0.0833123	−	0.0699073i
$595$	−15.8746	+	25.0396i	−0.650797	+	1.02652i
$596$	6.44194	+	11.1578i	0.263872	+	0.457040i
$597$	−3.57058	−	2.06147i	−0.146134	−	0.0843706i
$598$	−0.820779	+	2.25507i	−0.0335642	+	0.0922167i
$599$	−8.03512	−	2.92455i	−0.328306	−	0.119494i	0.172608	−	0.984991i	$-0.444781\pi$
$599$	−8.03512	−	2.92455i	−0.328306	−	0.119494i	−0.500914	+	0.865497i	$0.667003\pi$
$600$	7.33752	+	3.38232i	0.299553	+	0.138083i
$601$	2.09514	+	3.62889i	0.0854627	+	0.148026i	0.905588	−	0.424158i	$-0.139430\pi$
$601$	2.09514	+	3.62889i	0.0854627	+	0.148026i	−0.820126	+	0.572184i	$0.806096\pi$
$602$	−29.5621	+	5.21260i	−1.20486	+	0.212450i
$603$	19.1006	−	22.7632i	0.777838	−	0.926991i
$604$	1.62078	−	1.36000i	0.0659487	−	0.0553375i
$605$	−18.2525	+	14.0696i	−0.742071	+	0.572009i
$606$	−9.27791	+	3.37688i	−0.376889	+	0.137177i
$607$		−	7.59458i		−	0.308254i	−0.988051	−	0.154127i	$-0.950743\pi$
$607$		−	7.59458i		−	0.308254i	0.988051	−	0.154127i	$-0.0492566\pi$
$608$	19.7477	−	4.30752i	0.800876	−	0.174693i
$609$	−5.78925			−0.234592
$610$	8.08815	−	19.6487i	0.327480	−	0.795551i
$611$	0.360654	−	2.04537i	0.0145905	−	0.0827469i
$612$	−7.63153	−	9.09491i	−0.308486	−	0.367640i
$613$	−11.5348	+	13.7466i	−0.465885	+	0.555220i	−0.946915	−	0.321484i	$-0.895818\pi$
$613$	−11.5348	+	13.7466i	−0.465885	+	0.555220i	0.481030	+	0.876704i	$0.340263\pi$
$614$	−0.468661	−	2.65791i	−0.0189136	−	0.107264i
$615$	6.17165	+	1.35398i	0.248865	+	0.0545979i
$616$	3.46964	−	6.00960i	0.139796	−	0.242134i
$617$	−13.8805	+	38.1365i	−0.558809	+	1.53532i	0.262558	+	0.964916i	$0.415434\pi$
$617$	−13.8805	+	38.1365i	−0.558809	+	1.53532i	−0.821367	+	0.570400i	$0.806788\pi$
$618$	0.993517	−	2.72967i	0.0399651	−	0.109803i
$619$	−12.7804	+	22.1363i	−0.513688	+	0.889733i	0.486186	+	0.873855i	$0.338388\pi$
$619$	−12.7804	+	22.1363i	−0.513688	+	0.889733i	−0.999874	+	0.0158781i	$0.994946\pi$
$620$	−2.99697	+	13.6606i	−0.120361	+	0.548624i
$621$	−1.97918	−	11.2245i	−0.0794218	−	0.450423i
$622$	−9.85430	+	11.7439i	−0.395121	+	0.470887i
$623$	10.3726	+	12.3616i	0.415570	+	0.495257i
$624$	0.0777239	−	0.440794i	0.00311145	−	0.0176459i
$625$	21.5398	−	12.6900i	0.861592	−	0.507601i
$626$	−1.56491			−0.0625463
$627$	1.17969	−	1.52662i	0.0471122	−	0.0609672i
$628$			14.6049i			0.582801i
$629$	19.6901	−	7.16661i	0.785096	−	0.285751i
$630$	−13.8138	+	10.6480i	−0.550354	+	0.424228i
$631$	3.55051	−	2.97923i	0.141344	−	0.118601i	−0.569375	−	0.822078i	$-0.692815\pi$
$631$	3.55051	−	2.97923i	0.141344	−	0.118601i	0.710718	+	0.703477i	$0.248370\pi$
$632$	6.80057	−	8.10461i	0.270512	−	0.322384i
$633$	−5.26367	+	0.928128i	−0.209212	+	0.0368898i
$634$	−2.95490	−	5.11804i	−0.117354	−	0.203263i
$635$	6.21903	+	19.5740i	0.246795	+	0.776771i
$636$	−6.16333	−	2.24327i	−0.244392	−	0.0889514i
$637$	−0.106424	+	0.292397i	−0.00421666	+	0.0115852i
$638$	−3.00302	−	1.73379i	−0.118891	−	0.0686415i
$639$	0.920880	+	1.59501i	0.0364295	+	0.0630977i
$640$	−2.45250	−	1.55484i	−0.0969438	−	0.0614606i
$641$	17.7783	+	14.9178i	0.702201	+	0.589217i	0.922399	−	0.386239i	$-0.126226\pi$
$641$	17.7783	+	14.9178i	0.702201	+	0.589217i	−0.220198	+	0.975455i	$0.570670\pi$
$642$	−5.43402	−	6.47602i	−0.214464	−	0.255588i
$643$	15.0138	+	2.64733i	0.592086	+	0.104401i	0.461659	−	0.887057i	$-0.347254\pi$
$643$	15.0138	+	2.64733i	0.592086	+	0.104401i	0.130426	+	0.991458i	$0.458365\pi$
$644$	8.72149	−	3.17436i	0.343675	−	0.125087i
$645$	9.18168	+	8.37638i	0.361528	+	0.329819i
$646$	−16.3370	+	14.8682i	−0.642773	+	0.584982i
$647$		−	17.6749i		−	0.694872i	−0.937704	−	0.347436i	$-0.887052\pi$
$647$		−	17.6749i		−	0.694872i	0.937704	−	0.347436i	$-0.112948\pi$
$648$	−6.79885	−	18.6797i	−0.267084	−	0.733808i
$649$	−1.44870	+	8.21599i	−0.0568664	+	0.322506i
$650$	−2.27192	−	2.25201i	−0.0891119	−	0.0883312i
$651$	7.72773	+	6.48434i	0.302874	+	0.254141i
$652$	14.2506	−	2.51277i	0.558097	−	0.0984075i
$653$	−5.94488	+	3.43228i	−0.232641	+	0.134315i	−0.611790	−	0.791020i	$-0.709550\pi$
$653$	−5.94488	+	3.43228i	−0.232641	+	0.134315i	0.379149	+	0.925336i	$0.376217\pi$
$654$	−1.09174	+	1.89095i	−0.0426905	+	0.0739420i
$655$	3.87687	+	7.40757i	0.151482	+	0.289438i
$656$	6.88879	+	2.50731i	0.268962	+	0.0978941i
$657$	−16.5059	−	9.52969i	−0.643957	−	0.371789i
$658$	8.45175	−	4.87962i	0.329484	−	0.190227i
$659$	−4.75738	−	26.9804i	−0.185321	−	1.05101i	−0.925542	−	0.378645i	$-0.876390\pi$
$659$	−4.75738	−	26.9804i	−0.185321	−	1.05101i	0.740221	−	0.672364i	$-0.234721\pi$
$660$	−0.885755	+	0.118595i	−0.0344780	+	0.00461629i
$661$	21.8707	−	18.3517i	0.850673	−	0.713800i	−0.109265	−	0.994013i	$-0.534850\pi$
$661$	21.8707	−	18.3517i	0.850673	−	0.713800i	0.959938	+	0.280213i	$0.0904051\pi$
$662$	32.8963	+	5.80051i	1.27855	+	0.225443i
$663$	−0.537206	−	1.47596i	−0.0208633	−	0.0573216i
$664$	15.1263			0.587014
$665$	−17.1439	−	20.4812i	−0.664811	−	0.794229i
$666$	12.3268			0.477655
$667$	−5.09971	−	14.0113i	−0.197462	−	0.542521i
$668$	−6.73722	−	1.18795i	−0.260671	−	0.0459633i
$669$	−11.5301	+	9.67489i	−0.445779	+	0.374053i
$670$	3.39855	+	25.3829i	0.131297	+	0.980628i
$671$	1.31206	+	7.44107i	0.0506516	+	0.287259i
$672$	−5.84833	+	3.37654i	−0.225604	+	0.130253i
$673$	−39.1173	−	22.5844i	−1.50786	−	0.870565i	−0.999958	−	0.00915115i	$-0.997087\pi$
$673$	−39.1173	−	22.5844i	−1.50786	−	0.870565i	−0.507904	−	0.861414i	$-0.669580\pi$
$674$	−15.0960	−	5.49451i	−0.581478	−	0.211641i
$675$	14.6925	+	3.86765i	0.565516	+	0.148866i
$676$	−5.70071	+	9.87392i	−0.219258	+	0.379766i
$677$	40.6710	−	23.4814i	1.56311	−	0.902463i	0.566172	−	0.824287i	$-0.308424\pi$
$677$	40.6710	−	23.4814i	1.56311	−	0.902463i	0.996940	−	0.0781759i	$-0.0249096\pi$
$678$	2.17819	−	0.384073i	0.0836527	−	0.0147502i
$679$	−26.1116	−	21.9102i	−1.00207	−	0.840838i
$680$	32.8676	+	1.36260i	1.26041	+	0.0522532i
$681$	−1.46537	+	8.31051i	−0.0561530	+	0.318459i
$682$	2.06659	+	5.67792i	0.0791339	+	0.217419i
$683$			19.4215i			0.743142i	0.928405	+	0.371571i	$0.121181\pi$
$683$			19.4215i			0.743142i	−0.928405	+	0.371571i	$0.878819\pi$
$684$	9.89561	−	4.05951i	0.378368	−	0.155219i
$685$	3.56165	−	3.90406i	0.136084	−	0.149167i
$686$	17.5060	−	6.37166i	0.668382	−	0.243271i
$687$	−5.95943	−	1.05081i	−0.227367	−	0.0400909i
$688$	9.26901	+	11.0464i	0.353378	+	0.421139i
$689$	6.39554	+	5.36650i	0.243651	+	0.204447i
$690$	3.94312	+	2.49986i	0.150112	+	0.0951682i
$691$	8.93344	+	15.4732i	0.339844	+	0.588627i	0.984403	−	0.175927i	$-0.0562923\pi$
$691$	8.93344	+	15.4732i	0.339844	+	0.588627i	−0.644559	+	0.764555i	$0.722959\pi$
$692$	6.92991	+	4.00099i	0.263436	+	0.152095i
$693$	2.12125	−	5.82809i	0.0805797	−	0.221391i
$694$	0.0813941	+	0.0296250i	0.00308968	+	0.00112455i
$695$	5.20581	−	1.65398i	0.197468	−	0.0627392i
$696$	3.21175	+	5.56292i	0.121741	+	0.210862i
$697$	25.3346	−	4.46716i	0.959615	−	0.169206i
$698$	−3.12615	+	3.72561i	−0.118327	+	0.141016i
$699$	6.45860	−	5.41941i	0.244287	−	0.204981i
$700$	−1.02405	+	12.3294i	−0.0387053	+	0.466008i
$701$	−4.04522	+	1.47234i	−0.152786	+	0.0556096i	−0.417281	−	0.908777i	$-0.637017\pi$
$701$	−4.04522	+	1.47234i	−0.152786	+	0.0556096i	0.264495	+	0.964387i	$0.414795\pi$
$702$		−	1.94406i		−	0.0733739i
$703$	0.759235	+	18.8619i	0.0286351	+	0.711389i
$704$	−6.34150			−0.239004
$705$	−3.73645	−	1.53807i	−0.140723	−	0.0579270i
$706$	−0.726431	+	4.11979i	−0.0273396	+	0.155050i
$707$	−31.2432	−	37.2343i	−1.17502	−	1.40034i
$708$	3.08990	−	3.68240i	0.116125	−	0.138393i
$709$	−6.10059	−	34.5982i	−0.229112	−	1.29936i	−0.854665	−	0.519179i	$-0.826238\pi$
$709$	−6.10059	−	34.5982i	−0.229112	−	1.29936i	0.625553	−	0.780182i	$-0.284873\pi$
$710$	−1.55041	−	0.340140i	−0.0581857	−	0.0127652i
$711$	4.72796	−	8.18907i	0.177312	−	0.307114i
$712$	6.12382	−	16.8251i	0.229500	−	0.630545i
$713$	−8.88632	+	24.4150i	−0.332795	+	0.914347i
$714$	3.69024	−	6.39168i	0.138104	−	0.239203i
$715$	1.11111	+	0.243764i	0.0415532	+	0.00911627i
$716$	−0.856958	−	4.86005i	−0.0320260	−	0.181629i
$717$	7.12767	−	8.49442i	0.266188	−	0.317230i
$718$	−20.3457	−	24.2471i	−0.759295	−	0.904893i
$719$	−5.10577	+	28.9563i	−0.190413	+	1.07989i	0.728388	+	0.685165i	$0.240270\pi$
$719$	−5.10577	+	28.9563i	−0.190413	+	1.07989i	−0.918801	+	0.394722i	$0.870841\pi$
$720$	7.74768	+	3.18924i	0.288739	+	0.118856i
$721$	14.3004			0.532574
$722$	−8.28745	−	18.0929i	−0.308427	−	0.673349i
$723$			15.1087i			0.561898i
$724$	−15.9656	+	5.81100i	−0.593357	+	0.215964i
$725$	19.8076	+	1.64516i	0.735635	+	0.0610997i
$726$	4.39480	−	3.68767i	0.163106	−	0.136862i
$727$	14.4993	−	17.2796i	0.537749	−	0.640864i	−0.426933	−	0.904283i	$-0.640406\pi$
$727$	14.4993	−	17.2796i	0.537749	−	0.640864i	0.964681	+	0.263419i	$0.0848503\pi$
$728$	5.01220	−	0.883786i	0.185765	−	0.0327553i
$729$	−6.46109	−	11.1909i	−0.239300	−	0.414479i
$730$	15.6547	−	4.97381i	0.579408	−	0.184089i
$731$	47.5506	+	17.3070i	1.75872	+	0.640123i
$732$	1.48903	−	4.09108i	0.0550362	−	0.151211i
$733$	−32.8225	−	18.9501i	−1.21233	−	0.699938i	−0.249062	−	0.968488i	$-0.580122\pi$
$733$	−32.8225	−	18.9501i	−1.21233	−	0.699938i	−0.963266	+	0.268550i	$0.913456\pi$
$734$	−9.49990	−	16.4543i	−0.350648	−	0.607340i
$735$	0.511272	+	0.324137i	0.0188585	+	0.0119560i
$736$	−13.3238	−	11.1800i	−0.491121	−	0.412099i
$737$	−5.85367	−	6.97613i	−0.215623	−	0.256969i
$738$	14.9040	+	2.62798i	0.548624	+	0.0967372i
$739$	−24.4523	+	8.89989i	−0.899491	+	0.327388i	−0.750049	−	0.661383i	$-0.769970\pi$
$739$	−24.4523	+	8.89989i	−0.899491	+	0.327388i	−0.149442	+	0.988770i	$0.547748\pi$
$740$	5.89312	−	6.45968i	0.216635	−	0.237463i
$741$	1.41388	−	0.0569119i	0.0519401	−	0.00209071i
$742$			39.2300i			1.44018i
$743$	−17.2335	−	47.3487i	−0.632237	−	1.73706i	−0.674841	−	0.737964i	$-0.735788\pi$
$743$	−17.2335	−	47.3487i	−0.632237	−	1.73706i	0.0426041	−	0.999092i	$-0.486435\pi$
$744$	1.94365	−	11.0230i	0.0712577	−	0.404123i
$745$	−31.8784	−	1.32159i	−1.16793	−	0.0484192i
$746$	20.2315	+	16.9762i	0.740728	+	0.621544i
$747$	13.3140	−	2.34763i	0.487135	−	0.0858951i
$748$	−3.15105	+	1.81926i	−0.115214	+	0.0665187i
$749$	20.8089	−	36.0420i	0.760339	−	1.31695i
$750$	−5.22665	+	3.37844i	−0.190850	+	0.123363i
$751$	−25.5462	−	9.29806i	−0.932195	−	0.339291i	−0.169116	−	0.985596i	$-0.554091\pi$
$751$	−25.5462	−	9.29806i	−0.932195	−	0.339291i	−0.763079	+	0.646305i	$0.776313\pi$
$752$	−4.06002	−	2.34405i	−0.148054	−	0.0854789i
$753$	11.4205	−	6.59363i	0.416186	−	0.240285i
$754$	−0.441631	−	2.50461i	−0.0160832	−	0.0912126i
$755$	0.695323	+	5.19320i	0.0253054	+	0.189000i
$756$	−5.75963	+	4.83291i	−0.209476	+	0.175771i
$757$	−32.3985	−	5.71273i	−1.17754	−	0.207633i	−0.449575	−	0.893243i	$-0.648424\pi$
$757$	−32.3985	−	5.71273i	−1.17754	−	0.207633i	−0.727969	+	0.685610i	$0.759536\pi$
$758$	−9.87411	−	27.1289i	−0.358644	−	0.985366i
$759$	−1.66021			−0.0602619
$760$	−10.1695	+	27.8362i	−0.368886	+	1.00973i
$761$	3.47213			0.125865			0.0629323	−	0.998018i	$-0.479955\pi$
$761$	3.47213			0.125865			0.0629323	+	0.998018i	$0.479955\pi$
$762$	−1.74867	−	4.80443i	−0.0633476	−	0.174046i
$763$	−10.5858	−	1.86657i	−0.383233	−	0.0675743i
$764$	−11.9391	+	10.0181i	−0.431941	+	0.362442i
$765$	29.1413	−	3.90175i	1.05360	−	0.141068i
$766$	−3.33270	−	18.9007i	−0.120415	−	0.682910i
$767$	−5.29909	+	3.05943i	−0.191339	+	0.110470i
$768$	7.63507	+	4.40811i	0.275507	+	0.159064i
$769$	−29.7634	−	10.8330i	−1.07330	−	0.390648i	−0.255887	−	0.966707i	$-0.582368\pi$
$769$	−29.7634	−	10.8330i	−1.07330	−	0.390648i	−0.817408	+	0.576059i	$0.804590\pi$
$770$	2.47854	+	4.73577i	0.0893205	+	0.170665i
$771$	1.44615	−	2.50480i	0.0520817	−	0.0902081i
$772$	5.84466	−	3.37442i	0.210354	−	0.121448i
$773$	34.5358	−	6.08960i	1.24217	−	0.219028i	0.486323	−	0.873779i	$-0.338338\pi$
$773$	34.5358	−	6.08960i	1.24217	−	0.219028i	0.755844	+	0.654752i	$0.227227\pi$
$774$	22.8042	+	19.1350i	0.819679	+	0.687792i
$775$	−24.5973	−	24.3818i	−0.883562	−	0.875821i
$776$	−6.56750	+	37.2461i	−0.235759	+	1.33706i
$777$	−2.15714	−	5.92670i	−0.0773870	−	0.212619i
$778$			7.52562i			0.269807i
$779$	−3.10322	+	22.9672i	−0.111184	+	0.822884i
$780$	−0.484215	−	0.441746i	−0.0173377	−	0.0158170i
$781$	0.530395	−	0.193048i	0.0189790	−	0.00690780i
$782$	18.7201	+	3.30085i	0.669428	+	0.118038i
$783$	7.76421	+	9.25302i	0.277470	+	0.330676i
$784$	0.538043	+	0.451472i	0.0192158	+	0.0161240i
$785$	−30.5463	−	19.3658i	−1.09024	−	0.691195i
$786$	−1.04066	−	1.80248i	−0.0371191	−	0.0642922i
$787$	36.5314	+	21.0914i	1.30221	+	0.751829i	0.980782	−	0.195107i	$-0.0625054\pi$
$787$	36.5314	+	21.0914i	1.30221	+	0.751829i	0.321424	+	0.946936i	$0.395839\pi$
$788$	−3.77015	+	10.3584i	−0.134306	+	0.369003i
$789$	−9.74816	−	3.54804i	−0.347044	−	0.126314i
$790$	2.46765	+	7.76678i	0.0877951	+	0.276330i
$791$	5.44425	+	9.42971i	0.193575	+	0.335282i
$792$	−6.77708	+	1.19498i	−0.240813	+	0.0424618i
$793$	−3.56216	+	4.24522i	−0.126496	+	0.150752i
$794$	−9.40703	+	7.89343i	−0.333843	+	0.280127i
$795$	12.8642	−	9.91611i	0.456247	−	0.351688i
$796$	−6.58251	+	2.39584i	−0.233311	+	0.0849182i
$797$			20.4194i			0.723291i	0.932316	+	0.361646i	$0.117785\pi$
$797$			20.4194i			0.723291i	−0.932316	+	0.361646i	$0.882215\pi$
$798$	4.47531	+	4.91743i	0.158424	+	0.174075i
$799$	−16.4514			−0.582008
$800$	20.9693	−	9.89068i	0.741375	−	0.349688i
$801$	2.77886	−	15.7597i	0.0981862	−	0.556842i
$802$	26.4000	+	31.4623i	0.932216	+	1.11097i
$803$	−3.75454	+	4.47449i	−0.132495	+	0.157901i
$804$	0.911169	+	5.16750i	0.0321345	+	0.182244i
$805$	−4.92530	+	22.4502i	−0.173594	+	0.791265i
$806$	−2.21582	+	3.83792i	−0.0780491	+	0.135185i
$807$	−3.37812	+	9.28131i	−0.118915	+	0.326717i
$808$	−18.4455	+	50.6786i	−0.648910	+	1.78287i
$809$	14.2768	−	24.7282i	0.501946	−	0.869396i	−0.498051	−	0.867148i	$-0.665951\pi$
$809$	14.2768	−	24.7282i	0.501946	−	0.869396i	0.999997	−	0.00224865i	$-0.000715769\pi$
$810$	14.9562	+	3.28121i	0.525508	+	0.115290i
$811$	−0.279849	−	1.58710i	−0.00982681	−	0.0557306i	0.979500	−	0.201444i	$-0.0645634\pi$
$811$	−0.279849	−	1.58710i	−0.00982681	−	0.0557306i	−0.989327	+	0.145713i	$0.953452\pi$
$812$	−6.32248	+	7.53483i	−0.221875	+	0.264421i
$813$	0.646376	+	0.770321i	0.0226694	+	0.0270163i
$814$	0.655998	−	3.72035i	0.0229927	−	0.130398i
$815$	−13.6405	+	33.1371i	−0.477806	+	1.16074i
$816$	−3.54540			−0.124114
$817$	−27.8747	+	36.0723i	−0.975213	+	1.26201i
$818$		−	9.29706i		−	0.325064i
$819$	4.27453	−	1.55580i	0.149364	−	0.0543642i
$820$	8.50234	−	6.55384i	0.296915	−	0.228870i
$821$	−6.16578	+	5.17371i	−0.215187	+	0.180564i	−0.744010	−	0.668169i	$-0.767078\pi$
$821$	−6.16578	+	5.17371i	−0.215187	+	0.180564i	0.528822	+	0.848733i	$0.322634\pi$
$822$	−0.845617	+	1.00777i	−0.0294943	+	0.0351499i
$823$	36.7750	−	6.48442i	1.28189	−	0.226033i	0.509110	−	0.860701i	$-0.329975\pi$
$823$	36.7750	−	6.48442i	1.28189	−	0.226033i	0.772784	+	0.634669i	$0.218863\pi$
$824$	−7.93356	−	13.7413i	−0.276379	−	0.478702i
$825$	0.926448	−	2.00981i	0.0322548	−	0.0699727i
$826$	−27.0179	−	9.83370i	−0.940072	−	0.342158i
$827$	3.73836	−	10.2711i	0.129996	−	0.357160i	−0.857570	−	0.514367i	$-0.828027\pi$
$827$	3.73836	−	10.2711i	0.129996	−	0.357160i	0.987566	+	0.157207i	$0.0502491\pi$
$828$	−7.97098	−	4.60205i	−0.277011	−	0.159932i
$829$	16.8187	+	29.1309i	0.584139	+	1.01176i	0.994982	+	0.100052i	$0.0319010\pi$
$829$	16.8187	+	29.1309i	0.584139	+	1.01176i	−0.410843	+	0.911706i	$0.634766\pi$
$830$	−6.23867	+	9.84045i	−0.216547	+	0.341567i
$831$	−2.75979	−	2.31574i	−0.0957361	−	0.0803322i
$832$	−2.98966	−	3.56293i	−0.103648	−	0.123523i
$833$	2.42728	+	0.427995i	0.0841002	+	0.0148291i
$834$	−1.27776	+	0.465068i	−0.0442454	+	0.0161040i
$835$	11.4180	−	12.5157i	0.395136	−	0.433124i
$836$	−0.698579	−	3.20262i	−0.0241609	−	0.110765i
$837$		−	21.0478i		−	0.727517i
$838$	−2.79492	−	7.67897i	−0.0965488	−	0.265266i
$839$	−2.40910	+	13.6627i	−0.0831714	+	0.471689i	0.914565	+	0.404439i	$0.132533\pi$
$839$	−2.40910	+	13.6627i	−0.0831714	+	0.471689i	−0.997736	+	0.0672492i	$0.978578\pi$
$840$	0.410140	−	9.89311i	0.0141512	−	0.341345i
$841$	−10.1104	−	8.48360i	−0.348633	−	0.292538i
$842$	−35.6452	+	6.28522i	−1.22842	+	0.216603i
$843$	−5.65470	+	3.26474i	−0.194758	+	0.112444i
$844$	−4.54052	+	7.86440i	−0.156291	+	0.270704i
$845$	−13.0923	−	25.0156i	−0.450390	−	0.860564i
$846$	−9.09448	−	3.31012i	−0.312675	−	0.113804i
$847$	24.4591	+	14.1214i	0.840423	+	0.485219i
$848$	16.3204	−	9.42259i	0.560445	−	0.323573i
$849$	−2.36867	−	13.4334i	−0.0812925	−	0.461033i
$850$	−14.4423	+	20.8201i	−0.495367	+	0.714123i
$851$	12.4438	−	10.4416i	0.426568	−	0.357933i
$852$	−0.320283	−	0.0564745i	−0.0109727	−	0.00193478i
$853$	10.1059	+	27.7657i	0.346019	+	0.950680i	0.983611	+	0.180305i	$0.0577086\pi$
$853$	10.1059	+	27.7657i	0.346019	+	0.950680i	−0.637591	+	0.770375i	$0.720069\pi$
$854$	−26.0400			−0.891071
$855$	−4.63087	+	26.0795i	−0.158373	+	0.891901i
$856$	−46.1773			−1.57831
$857$	1.46586	+	4.02741i	0.0500727	+	0.137574i	0.962208	−	0.272316i	$-0.0877895\pi$
$857$	1.46586	+	4.02741i	0.0500727	+	0.137574i	−0.912135	+	0.409889i	$0.865567\pi$
$858$	−0.278876	−	0.0491733i	−0.00952066	−	0.00167875i
$859$	26.7935	−	22.4824i	0.914181	−	0.767089i	−0.0587290	−	0.998274i	$-0.518705\pi$
$859$	26.7935	−	22.4824i	0.914181	−	0.767089i	0.972910	+	0.231185i	$0.0742603\pi$
$860$	20.9294	−	2.80226i	0.713687	−	0.0955563i
$861$	−1.34461	−	7.62567i	−0.0458243	−	0.259882i
$862$	2.57566	−	1.48706i	0.0877273	−	0.0506494i
$863$	−17.3470	−	10.0153i	−0.590498	−	0.340924i	0.174797	−	0.984605i	$-0.444073\pi$
$863$	−17.3470	−	10.0153i	−0.590498	−	0.340924i	−0.765294	+	0.643681i	$0.777407\pi$
$864$	13.2402	+	4.81904i	0.450441	+	0.163947i
$865$	−17.5570	+	9.18872i	−0.596955	+	0.312426i
$866$	−11.4443	+	19.8221i	−0.388893	+	0.673583i
$867$	−2.95032	+	1.70337i	−0.100198	+	0.0578494i
$868$	16.8790	−	2.97623i	0.572911	−	0.101020i
$869$	−2.21992	−	1.86274i	−0.0753058	−	0.0631891i
$870$	−4.94362	−	0.204949i	−0.167604	−	0.00694841i
$871$	1.15983	−	6.57770i	0.0392992	−	0.222877i
$872$	4.07921	+	11.2075i	0.138139	+	0.379535i
$873$			33.8030i			1.14406i
$874$	−7.95907	+	15.1630i	−0.269220	+	0.512898i
$875$	−24.4292	−	18.4903i	−0.825857	−	0.625087i
$876$	3.16260	−	1.15109i	0.106854	−	0.0388917i
$877$	−44.8994	−	7.91697i	−1.51614	−	0.267337i	−0.647228	−	0.762297i	$-0.724072\pi$
$877$	−44.8994	−	7.91697i	−1.51614	−	0.267337i	−0.868916	+	0.494959i	$0.835183\pi$
$878$	−21.9320	−	26.1376i	−0.740170	−	0.882100i
$879$	11.4449	+	9.60340i	0.386027	+	0.323915i
$880$	1.37485	−	2.16860i	0.0463462	−	0.0731033i
$881$	8.63649	+	14.9588i	0.290971	+	0.503976i	0.974040	−	0.226378i	$-0.0726885\pi$
$881$	8.63649	+	14.9588i	0.290971	+	0.503976i	−0.683069	+	0.730354i	$0.739355\pi$
$882$	1.25571	+	0.724983i	0.0422819	+	0.0244114i
$883$	−12.0368	+	33.0707i	−0.405069	+	1.11292i	0.554680	+	0.832063i	$0.312840\pi$
$883$	−12.0368	+	33.0707i	−0.405069	+	1.11292i	−0.959750	+	0.280856i	$0.909382\pi$
$884$	−2.50768	−	0.912722i	−0.0843425	−	0.0306982i
$885$	3.60462	+	11.3453i	0.121168	+	0.381368i
$886$	4.06483	+	7.04049i	0.136561	+	0.236530i
$887$	3.11307	−	0.548919i	0.104527	−	0.0184309i	−0.121140	−	0.992635i	$-0.538655\pi$
$887$	3.11307	−	0.548919i	0.104527	−	0.0184309i	0.225667	+	0.974205i	$0.427544\pi$
$888$	−4.49826	+	5.36082i	−0.150952	+	0.179897i
$889$	19.2812	−	16.1789i	0.646671	−	0.542622i
$890$	8.41988	+	10.9232i	0.282235	+	0.366145i
$891$	−5.11654	+	1.86227i	−0.171410	+	0.0623883i
$892$			25.5727i			0.856237i
$893$	4.50482	−	14.1198i	0.150748	−	0.472500i
$894$	7.94259			0.265640
$895$	11.3011	+	4.65198i	0.377755	+	0.155498i
$896$	−0.617962	+	3.50464i	−0.0206447	+	0.117082i
$897$	−0.782696	−	0.932781i	−0.0261335	−	0.0311447i
$898$	15.4729	−	18.4399i	0.516337	−	0.615346i
$899$	−4.78140	−	27.1167i	−0.159469	−	0.904391i
$900$	10.0192	−	7.08139i	0.333972	−	0.236046i
$901$	33.0655	−	57.2711i	1.10157	−	1.90798i
$902$	1.58629	−	4.35830i	0.0528178	−	0.145116i
$903$	5.20939	−	14.3127i	0.173358	−	0.476297i
$904$	6.04071	−	10.4628i	0.200911	−	0.347988i
$905$	9.01627	−	41.0974i	0.299711	−	1.36612i
$906$	−0.226494	−	1.28451i	−0.00752476	−	0.0426751i
$907$	−10.2405	+	12.2041i	−0.340029	+	0.405230i	−0.908778	−	0.417281i	$-0.862983\pi$
$907$	−10.2405	+	12.2041i	−0.340029	+	0.405230i	0.568749	+	0.822511i	$0.307428\pi$
$908$	9.21597	+	10.9832i	0.305843	+	0.364489i
$909$	−8.37018	+	47.4697i	−0.277621	+	1.57447i
$910$	−1.49227	+	3.62521i	−0.0494684	+	0.120174i
$911$	0.0577380			0.00191294			0.000956472	−	1.00000i	$-0.499696\pi$
$911$	0.0577380			0.00191294			0.000956472		1.00000i	$0.499696\pi$
$912$	0.970824	−	3.04292i	0.0321472	−	0.100761i
$913$		−	4.14323i		−	0.137121i
$914$	−3.33524	+	1.21393i	−0.110320	+	0.0401532i
$915$	6.58209	+	8.53899i	0.217597	+	0.282290i
$916$	−7.87599	+	6.60874i	−0.260230	+	0.218359i
$917$	6.58614	−	7.84905i	0.217493	−	0.259199i
$918$	−15.1650	+	2.67400i	−0.500521	+	0.0882553i
$919$	25.0245	+	43.3436i	0.825481	+	1.42977i	0.901551	+	0.432672i	$0.142429\pi$
$919$	25.0245	+	43.3436i	0.825481	+	1.42977i	−0.0760708	+	0.997102i	$0.524238\pi$
$920$	24.3049	−	7.72214i	0.801310	−	0.254591i
$921$	1.28684	+	0.468372i	0.0424029	+	0.0154334i
$922$	−3.88787	+	10.6818i	−0.128040	+	0.351788i
$923$	0.358514	+	0.206988i	0.0118006	+	0.00681310i
$924$	0.547595	+	0.948463i	0.0180146	+	0.0312021i
$925$	5.69632	+	20.8909i	0.187294	+	0.686888i
$926$	−5.86660	−	4.92267i	−0.192789	−	0.161769i
$927$	−9.11573	−	10.8637i	−0.299400	−	0.356811i
$928$	18.1526	+	3.20080i	0.595889	+	0.105071i
$929$	−15.9606	+	5.80920i	−0.523652	+	0.190594i	−0.590302	−	0.807183i	$-0.700991\pi$
$929$	−15.9606	+	5.80920i	−0.523652	+	0.190594i	0.0666498	+	0.997776i	$0.478769\pi$
$930$	6.36940	+	5.81075i	0.208861	+	0.190542i
$931$	−1.03199	+	1.96607i	−0.0338220	+	0.0644353i
$932$		−	14.3246i		−	0.469218i
$933$	−2.66049	−	7.30963i	−0.0871004	−	0.239306i
$934$	−1.97190	+	11.1832i	−0.0645227	+	0.365926i
$935$	0.373228	−	9.00273i	0.0122059	−	0.294421i
$936$	−3.86640	−	3.24430i	−0.126377	−	0.106043i
$937$	−33.1807	+	5.85065i	−1.08397	+	0.191132i	−0.686968	−	0.726687i	$-0.741059\pi$
$937$	−33.1807	+	5.85065i	−1.08397	+	0.191132i	−0.396997	+	0.917820i	$0.629948\pi$
$938$	27.1799	−	15.6923i	0.887456	−	0.512373i
$939$	0.397018	−	0.687655i	0.0129562	−	0.0224408i
$940$	−6.08244	+	3.18334i	−0.198387	+	0.103829i
$941$	25.5345	+	9.29380i	0.832401	+	0.302969i	0.722844	−	0.691011i	$-0.242834\pi$
$941$	25.5345	+	9.29380i	0.832401	+	0.302969i	0.109557	+	0.993980i	$0.465057\pi$
$942$	7.79734	+	4.50180i	0.254051	+	0.146676i
$943$	17.2715	−	9.97169i	0.562436	−	0.324723i
$944$	2.39838	+	13.6019i	0.0780605	+	0.442703i
$945$	−2.47091	−	18.4546i	−0.0803786	−	0.600329i
$946$	6.98867	−	5.86419i	0.227221	−	0.190661i
$947$	32.7904	+	5.78183i	1.06554	+	0.187884i	0.678815	−	0.734309i	$-0.262494\pi$
$947$	32.7904	+	5.78183i	1.06554	+	0.187884i	0.386729	+	0.922193i	$0.373605\pi$
$948$	0.571090	+	1.56906i	0.0185481	+	0.0509606i
$949$	−4.28402			−0.139065
$950$	−13.9146	−	18.0965i	−0.451450	−	0.587128i
$951$	2.99864			0.0972376
$952$	−13.7883	−	37.8830i	−0.446881	−	1.22780i
$953$	−29.9466	−	5.28039i	−0.970065	−	0.171049i	−0.333906	−	0.942606i	$-0.608367\pi$
$953$	−29.9466	−	5.28039i	−0.970065	−	0.171049i	−0.636159	+	0.771558i	$0.719478\pi$
$954$	29.8022	−	25.0070i	0.964882	−	0.809632i
$955$	−5.12192	−	38.2544i	−0.165742	−	1.23788i
$956$	−3.27151	−	18.5536i	−0.105808	−	0.600068i
$957$	1.52373	−	0.879728i	0.0492553	−	0.0284376i
$958$	3.12704	+	1.80540i	0.101030	+	0.0583297i
$959$	−6.08578	−	2.21504i	−0.196520	−	0.0715274i
$960$	−8.01702	+	4.19584i	−0.258748	+	0.135420i
$961$	−8.49003	+	14.7052i	−0.273872	+	0.474360i
$962$	2.39952	−	1.38536i	0.0773637	−	0.0446660i
$963$	−40.6449	+	7.16679i	−1.30976	+	0.230946i
$964$	19.6643	+	16.5003i	0.633344	+	0.531438i
$965$	−0.692274	+	16.6985i	−0.0222851	+	0.537545i
$966$	0.993554	−	5.63472i	0.0319671	−	0.181294i
$967$	−20.1511	−	55.3648i	−0.648017	−	1.78041i	−0.624934	−	0.780677i	$-0.714874\pi$
$967$	−20.1511	−	55.3648i	−0.648017	−	1.78041i	−0.0230823	−	0.999734i	$-0.507348\pi$
$968$		−	31.3371i		−	1.00721i
$969$	−2.38870	−	10.9509i	−0.0767361	−	0.351795i
$970$	−21.5219	−	19.6342i	−0.691025	−	0.630417i
$971$	38.4033	−	13.9777i	1.23242	−	0.448564i	0.357995	−	0.933724i	$-0.383461\pi$
$971$	38.4033	−	13.9777i	1.23242	−	0.448564i	0.874426	+	0.485159i	$0.161238\pi$
$972$	11.1957	+	1.97411i	0.359103	+	0.0633196i
$973$	−4.30285	−	5.12794i	−0.137943	−	0.164394i
$974$	21.6614	+	18.1761i	0.694075	+	0.582398i
$975$	1.56597	−	0.426993i	0.0501512	−	0.0136747i
$976$	6.25450	+	10.8331i	0.200202	+	0.346760i
$977$	−31.1276	−	17.9716i	−0.995862	−	0.574961i	−0.0888405	−	0.996046i	$-0.528316\pi$
$977$	−31.1276	−	17.9716i	−0.995862	−	0.574961i	−0.907021	+	0.421085i	$0.861649\pi$
$978$	3.05105	−	8.38270i	0.0975619	−	0.268049i
$979$	−4.60853	−	1.67737i	−0.147289	−	0.0536089i
$980$	0.980235	−	0.311439i	0.0313125	−	0.00994856i
$981$	5.32991	+	9.23167i	0.170171	+	0.294745i
$982$	−0.251662	+	0.0443747i	−0.00803085	+	0.00141606i
$983$	6.47067	−	7.71144i	0.206382	−	0.245957i	−0.652918	−	0.757429i	$-0.726455\pi$
$983$	6.47067	−	7.71144i	0.206382	−	0.245957i	0.859300	+	0.511472i	$0.170900\pi$
$984$	−6.58159	+	5.52261i	−0.209813	+	0.176054i
$985$	−16.6655	−	21.6203i	−0.531008	−	0.688880i
$986$	−18.9303	+	6.89005i	−0.602862	+	0.219424i
$987$			4.95185i			0.157619i
$988$	1.47003	−	1.90235i	0.0467680	−	0.0605217i
$989$	39.2290			1.24741
$990$	2.01773	−	4.90170i	0.0641276	−	0.155786i
$991$	−3.13089	+	17.7562i	−0.0994561	+	0.564043i	0.893834	+	0.448397i	$0.148005\pi$
$991$	−3.13089	+	17.7562i	−0.0994561	+	0.564043i	−0.993290	+	0.115646i	$0.963106\pi$
$992$	−20.6458	−	24.6047i	−0.655504	−	0.781200i
$993$	−10.8947	+	12.9838i	−0.345732	+	0.412028i
$994$	0.337786	+	1.91568i	0.0107139	+	0.0607616i
$995$	3.71735	−	16.9442i	0.117848	−	0.537166i
$996$	−1.19365	+	2.06746i	−0.0378223	+	0.0655101i
$997$	−6.40419	+	17.5954i	−0.202823	+	0.557251i	−0.998847	−	0.0480143i	$-0.984711\pi$
$997$	−6.40419	+	17.5954i	−0.202823	+	0.557251i	0.796024	+	0.605265i	$0.206933\pi$
$998$	1.16378	−	3.19747i	0.0368390	−	0.101214i
$999$	−6.57968	+	11.3963i	−0.208172	+	0.360564i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.p.a.24.3	yes	48
3.2	odd	2		855.2.da.b.784.6		48
5.2	odd	4		475.2.l.f.176.6		48
5.3	odd	4		475.2.l.f.176.3		48
5.4	even	2	inner	95.2.p.a.24.6	yes	48
15.14	odd	2		855.2.da.b.784.3		48
19.2	odd	18		1805.2.b.l.1084.9		24
19.4	even	9	inner	95.2.p.a.4.6	yes	48
19.17	even	9		1805.2.b.k.1084.16		24
57.23	odd	18		855.2.da.b.289.3		48
95.2	even	36		9025.2.a.ct.1.16		24
95.4	even	18	inner	95.2.p.a.4.3	✓	48
95.17	odd	36		9025.2.a.cu.1.9		24
95.23	odd	36		475.2.l.f.251.3		48
95.42	odd	36		475.2.l.f.251.6		48
95.59	odd	18		1805.2.b.l.1084.16		24
95.74	even	18		1805.2.b.k.1084.9		24
95.78	even	36		9025.2.a.ct.1.9		24
95.93	odd	36		9025.2.a.cu.1.16		24
285.194	odd	18		855.2.da.b.289.6		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.p.a.4.3	✓	48	95.4	even	18	inner
95.2.p.a.4.6	yes	48	19.4	even	9	inner
95.2.p.a.24.3	yes	48	1.1	even	1	trivial
95.2.p.a.24.6	yes	48	5.4	even	2	inner
475.2.l.f.176.3		48	5.3	odd	4
475.2.l.f.176.6		48	5.2	odd	4
475.2.l.f.251.3		48	95.23	odd	36
475.2.l.f.251.6		48	95.42	odd	36
855.2.da.b.289.3		48	57.23	odd	18
855.2.da.b.289.6		48	285.194	odd	18
855.2.da.b.784.3		48	15.14	odd	2
855.2.da.b.784.6		48	3.2	odd	2
1805.2.b.k.1084.9		24	95.74	even	18
1805.2.b.k.1084.16		24	19.17	even	9
1805.2.b.l.1084.9		24	19.2	odd	18
1805.2.b.l.1084.16		24	95.59	odd	18
9025.2.a.ct.1.9		24	95.78	even	36
9025.2.a.ct.1.16		24	95.2	even	36
9025.2.a.cu.1.9		24	95.17	odd	36
9025.2.a.cu.1.16		24	95.93	odd	36

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.p (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.358233 - 0.984236i) q^{2} +(0.523379 + 0.0922859i) q^{3} +(0.691698 - 0.580404i) q^{4} +(0.296741 + 2.21629i) q^{5} +(-0.0966605 - 0.548189i) q^{6} +(2.37320 - 1.37016i) q^{7} +(-2.63320 - 1.52028i) q^{8} +(-2.55367 - 0.929459i) q^{9} +O(q^{10})\)	\(q+(-0.358233 - 0.984236i) q^{2} +(0.523379 + 0.0922859i) q^{3} +(0.691698 - 0.580404i) q^{4} +(0.296741 + 2.21629i) q^{5} +(-0.0966605 - 0.548189i) q^{6} +(2.37320 - 1.37016i) q^{7} +(-2.63320 - 1.52028i) q^{8} +(-2.55367 - 0.929459i) q^{9} +(2.07505 - 1.08601i) q^{10} +(-0.416418 + 0.721257i) q^{11} +(0.415583 - 0.239937i) q^{12} +(-0.601551 + 0.106070i) q^{13} +(-2.19872 - 1.84495i) q^{14} +(-0.0492240 + 1.18735i) q^{15} +(-0.239424 + 1.35784i) q^{16} +(1.65483 + 4.54662i) q^{17} +2.84638i q^{18} +(-4.35537 + 0.175314i) q^{19} +(1.49160 + 1.36077i) q^{20} +(1.36853 - 0.498103i) q^{21} +(0.859062 + 0.151476i) q^{22} +(2.41106 + 2.87338i) q^{23} +(-1.23786 - 1.03869i) q^{24} +(-4.82389 + 1.31533i) q^{25} +(0.319893 + 0.554071i) q^{26} +(-2.63152 - 1.51931i) q^{27} +(0.846286 - 2.32515i) q^{28} +(-3.73543 - 1.35958i) q^{29} +(1.18626 - 0.376898i) q^{30} +(3.46338 + 5.99875i) q^{31} +(-4.56652 + 0.805200i) q^{32} +(-0.284506 + 0.339061i) q^{33} +(3.88213 - 3.25750i) q^{34} +(3.74091 + 4.85311i) q^{35} +(-2.30583 + 0.839253i) q^{36} -4.33071i q^{37} +(1.73279 + 4.22391i) q^{38} -0.324628 q^{39} +(2.58800 - 6.28706i) q^{40} +(0.923271 - 5.23613i) q^{41} +(-0.980503 - 1.16852i) q^{42} +(6.72257 - 8.01164i) q^{43} +(0.130585 + 0.740582i) q^{44} +(1.30217 - 5.93548i) q^{45} +(1.96437 - 3.40239i) q^{46} +(-1.16292 + 3.19511i) q^{47} +(-0.250619 + 0.688571i) q^{48} +(0.254704 - 0.441160i) q^{49} +(3.02267 + 4.27665i) q^{50} +(0.446517 + 2.53232i) q^{51} +(-0.354529 + 0.422511i) q^{52} +(-8.78556 - 10.4702i) q^{53} +(-0.552662 + 3.13430i) q^{54} +(-1.72208 - 0.708876i) q^{55} -8.33212 q^{56} +(-2.29569 - 0.310183i) q^{57} +4.16359i q^{58} +(9.41315 - 3.42610i) q^{59} +(0.655091 + 0.849854i) q^{60} +(6.94990 - 5.83166i) q^{61} +(4.66350 - 5.55774i) q^{62} +(-7.33387 + 1.29316i) q^{63} +(3.80717 + 6.59422i) q^{64} +(-0.413587 - 1.30174i) q^{65} +(0.435636 + 0.158558i) q^{66} +(-3.73984 + 10.2751i) q^{67} +(3.78352 + 2.18442i) q^{68} +(0.996723 + 1.72638i) q^{69} +(3.43649 - 5.42048i) q^{70} +(-0.519169 - 0.435634i) q^{71} +(5.31128 + 6.32974i) q^{72} +(6.90688 + 1.21787i) q^{73} +(-4.26244 + 1.55140i) q^{74} +(-2.64611 + 0.243240i) q^{75} +(-2.91085 + 2.64914i) q^{76} +2.28224i q^{77} +(0.116292 + 0.319511i) q^{78} +(-0.604220 + 3.42670i) q^{79} +(-3.08042 - 0.127706i) q^{80} +(5.00824 + 4.20241i) q^{81} +(-5.48434 + 0.967036i) q^{82} +(-4.30834 + 2.48742i) q^{83} +(0.657507 - 1.13884i) q^{84} +(-9.58557 + 5.01676i) q^{85} +(-10.2936 - 3.74656i) q^{86} +(-1.82957 - 1.05630i) q^{87} +(2.19302 - 1.26614i) q^{88} +(1.02256 + 5.79921i) q^{89} +(-6.30840 + 0.844638i) q^{90} +(-1.28227 + 1.07595i) q^{91} +(3.33544 + 0.588129i) q^{92} +(1.25906 + 3.45924i) q^{93} +3.56134 q^{94} +(-1.68097 - 9.60075i) q^{95} -2.46433 q^{96} +(-4.25430 - 11.6886i) q^{97} +(-0.525449 - 0.0926508i) q^{98} +(1.73377 - 1.45481i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9}+O(q^{10}) \) 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9	\( 48 q - 18 q^{4} - 6 q^{5} - 6 q^{6} - 12 q^{9} - 15 q^{10} - 12 q^{11} + 6 q^{14} + 3 q^{15} - 42 q^{16} + 12 q^{19} + 42 q^{20} - 54 q^{21} + 24 q^{24} + 12 q^{25} + 12 q^{26} + 18 q^{30} - 42 q^{31} - 36 q^{34} + 6 q^{35} + 18 q^{36} - 48 q^{39} + 66 q^{40} + 6 q^{41} - 6 q^{44} - 9 q^{45} - 6 q^{46} + 12 q^{49} - 18 q^{50} + 108 q^{51} + 24 q^{54} + 36 q^{56} - 36 q^{59} - 114 q^{60} + 48 q^{61} - 18 q^{65} + 180 q^{66} + 66 q^{69} - 123 q^{70} - 24 q^{71} + 84 q^{74} + 72 q^{75} + 66 q^{76} + 48 q^{79} - 39 q^{80} - 78 q^{81} - 54 q^{84} - 84 q^{85} - 42 q^{86} - 12 q^{89} + 18 q^{90} - 30 q^{91} - 72 q^{94} - 63 q^{95} - 240 q^{96} - 36 q^{99}+O(q^{100}) \) 48 * q - 18 * q^4 - 6 * q^5 - 6 * q^6 - 12 * q^9 - 15 * q^10 - 12 * q^11 + 6 * q^14 + 3 * q^15 - 42 * q^16 + 12 * q^19 + 42 * q^20 - 54 * q^21 + 24 * q^24 + 12 * q^25 + 12 * q^26 + 18 * q^30 - 42 * q^31 - 36 * q^34 + 6 * q^35 + 18 * q^36 - 48 * q^39 + 66 * q^40 + 6 * q^41 - 6 * q^44 - 9 * q^45 - 6 * q^46 + 12 * q^49 - 18 * q^50 + 108 * q^51 + 24 * q^54 + 36 * q^56 - 36 * q^59 - 114 * q^60 + 48 * q^61 - 18 * q^65 + 180 * q^66 + 66 * q^69 - 123 * q^70 - 24 * q^71 + 84 * q^74 + 72 * q^75 + 66 * q^76 + 48 * q^79 - 39 * q^80 - 78 * q^81 - 54 * q^84 - 84 * q^85 - 42 * q^86 - 12 * q^89 + 18 * q^90 - 30 * q^91 - 72 * q^94 - 63 * q^95 - 240 * q^96 - 36 * q^99

Introduction

L-functions

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