LMFDB - Embedded newform 95.2.p.a.4.3

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			4.3
Character	$\chi$	$=$	95.4
Dual form			95.2.p.a.24.3

$q$-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 $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

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

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	0.746233	+	0.665685i	$0.231861\pi$
$2$	−0.358233	+	0.984236i	−0.253309	+	0.695960i	−0.999542	+	0.0302752i	$0.990362\pi$
$3$	0.523379	−	0.0922859i	0.302173	−	0.0532813i	−0.0205059	−	0.999790i	$-0.506528\pi$
$3$	0.523379	−	0.0922859i	0.302173	−	0.0532813i	0.322679	+	0.946508i	$0.395417\pi$
$4$	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	0.876220	−	0.481911i	$-0.160057\pi$
$7$	2.37320	+	1.37016i	0.896983	+	0.517874i	0.0207632	+	0.999784i	$0.493390\pi$
$8$	−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	0.796395	−	0.604777i	$-0.206738\pi$
$11$	−0.416418	−	0.721257i	−0.125555	−	0.217467i	−0.921950	+	0.387310i	$0.873404\pi$
$12$	0.415583	+	0.239937i	0.119969	+	0.0692639i
$13$	−0.601551	−	0.106070i	−0.166840	−	0.0294185i	0.0896039	−	0.995977i	$-0.471440\pi$
$13$	−0.601551	−	0.106070i	−0.166840	−	0.0294185i	−0.256444	+	0.966559i	$0.582551\pi$
$14$	−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	−0.560259	−	0.828317i	$-0.689299\pi$
$17$	1.65483	−	4.54662i	0.401356	−	1.10272i	0.961616	−	0.274400i	$-0.0884792\pi$
$18$		−	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	−0.453670	−	0.891170i	$-0.649886\pi$
$23$	2.41106	−	2.87338i	0.502740	−	0.599142i	0.956410	+	0.292028i	$0.0943300\pi$
$24$	−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	−0.664698	−	0.747112i	$-0.731440\pi$
$29$	−3.73543	+	1.35958i	−0.693651	+	0.252468i	−0.0289533	+	0.999581i	$0.509217\pi$
$30$	1.18626	+	0.376898i	0.216581	+	0.0688118i
$31$	3.46338	−	5.99875i	0.622042	−	1.07741i	−0.367063	−	0.930196i	$-0.619637\pi$
$31$	3.46338	−	5.99875i	0.622042	−	1.07741i	0.989105	−	0.147212i	$-0.0470300\pi$
$32$	−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	$0.115854\pi$
$37$			4.33071i			0.711965i	−0.934493	+	0.355982i	$0.884146\pi$
$38$	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	0.968013	+	0.250899i	$0.0807260\pi$
$41$	0.923271	+	5.23613i	0.144191	+	0.817746i	−0.823823	+	0.566848i	$0.808163\pi$
$42$	−0.980503	+	1.16852i	−0.151295	+	0.180306i
$43$	6.72257	+	8.01164i	1.02518	+	1.22176i	0.974811	+	0.223034i	$0.0715960\pi$
$43$	6.72257	+	8.01164i	1.02518	+	1.22176i	0.0503713	+	0.998731i	$0.483960\pi$
$44$	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	0.825526	−	0.564364i	$-0.190879\pi$
$47$	−1.16292	−	3.19511i	−0.169630	−	0.466054i	−0.995156	+	0.0983098i	$0.968656\pi$
$48$	−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	−0.339346	+	0.940662i	$0.610206\pi$
$53$	−8.78556	+	10.4702i	−1.20679	+	1.43820i	−0.867444	+	0.497535i	$0.834239\pi$
$54$	−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	0.872050	−	0.489417i	$-0.162790\pi$
$59$	9.41315	+	3.42610i	1.22549	+	0.446041i	0.353437	+	0.935458i	$0.385013\pi$
$60$	0.655091	−	0.849854i	0.0845719	−	0.109716i
$61$	6.94990	+	5.83166i	0.889844	+	0.746668i	0.968179	−	0.250260i	$-0.0805159\pi$
$61$	6.94990	+	5.83166i	0.889844	+	0.746668i	−0.0783350	+	0.996927i	$0.524960\pi$
$62$	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	−0.927785	−	0.373115i	$-0.878290\pi$
$67$	−3.73984	−	10.2751i	−0.456894	−	1.25531i	0.470891	−	0.882191i	$-0.343933\pi$
$68$	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	−0.673075	−	0.739575i	$-0.735027\pi$
$71$	−0.519169	+	0.435634i	−0.0616140	+	0.0517003i	0.611461	+	0.791275i	$0.290582\pi$
$72$	5.31128	−	6.32974i	0.625940	−	0.745967i
$73$	6.90688	−	1.21787i	0.808389	−	0.142541i	0.245846	−	0.969309i	$-0.420934\pi$
$73$	6.90688	−	1.21787i	0.808389	−	0.142541i	0.562543	+	0.826768i	$0.309823\pi$
$74$	−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	−0.999747	−	0.0224781i	$-0.992844\pi$
$79$	−0.604220	−	3.42670i	−0.0679801	−	0.385534i	0.931767	−	0.363056i	$-0.118267\pi$
$80$	−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	0.244552	−	0.969636i	$-0.421359\pi$
$83$	−4.30834	−	2.48742i	−0.472902	−	0.273030i	−0.717454	+	0.696606i	$0.754693\pi$
$84$	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	−0.881421	−	0.472332i	$-0.843412\pi$
$89$	1.02256	−	5.79921i	0.108391	−	0.614716i	0.989812	−	0.142383i	$-0.0454766\pi$
$90$	−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	0.512649	+	0.858598i	$0.328664\pi$
$97$	−4.25430	+	11.6886i	−0.431959	+	1.18680i	−0.944608	+	0.328200i	$0.893558\pi$
$98$	−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	0.310003	+	0.950736i	$0.399670\pi$
$101$	−3.08004	+	17.4678i	−0.306475	+	1.73811i	−0.616478	+	0.787372i	$0.711441\pi$
$102$	2.33245	+	1.34664i	0.230947	+	0.133337i
$103$	4.51935	−	2.60925i	0.445305	−	0.257097i	−0.260541	−	0.965463i	$-0.583901\pi$
$103$	4.51935	−	2.60925i	0.445305	−	0.257097i	0.705845	+	0.708366i	$0.250567\pi$
$104$	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	0.975269	−	0.221021i	$-0.0709390\pi$
$107$	13.1524	+	7.59356i	1.27149	+	0.734097i	0.296225	+	0.955118i	$0.404272\pi$
$108$	−2.70203	−	0.476440i	−0.260003	−	0.0458455i
$109$	−3.00487	+	2.52138i	−0.287814	+	0.241505i	−0.775251	−	0.631654i	$-0.782376\pi$
$109$	−3.00487	+	2.52138i	−0.287814	+	0.241505i	0.487437	+	0.873158i	$0.337932\pi$
$110$	−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	$-0.940158\pi$
$113$		−	3.97342i		−	0.373788i	0.982380	−	0.186894i	$-0.0598421\pi$
$114$	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	0.559901	−	0.828559i	$-0.310839\pi$
$127$	9.04543	+	1.59495i	0.802652	+	0.141529i	0.242751	+	0.970089i	$0.421950\pi$
$128$	−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	0.490917	−	0.871206i	$-0.336662\pi$
$131$	3.51355	+	1.27883i	0.306980	+	0.111732i	−0.183936	+	0.982938i	$0.558884\pi$
$132$		−	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	−0.827025	−	0.562166i	$-0.809968\pi$
$137$	−1.51913	+	1.81043i	−0.129788	+	0.154675i	0.697237	+	0.716841i	$0.254413\pi$
$138$	1.34210	+	1.59946i	0.114247	+	0.136155i
$139$	−0.424186	+	2.40568i	−0.0359790	+	0.204047i	−0.997498	−	0.0706903i	$-0.977480\pi$
$139$	−0.424186	+	2.40568i	−0.0359790	+	0.204047i	0.961519	+	0.274737i	$0.0885909\pi$
$140$	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	−0.900581	−	0.434687i	$-0.856859\pi$
$149$	−2.47773	−	14.0519i	−0.202984	−	1.15118i	0.697598	−	0.716490i	$-0.254252\pi$
$150$	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	−0.999994	−	0.00347076i	$-0.998895\pi$
$157$	−10.3969	−	12.3906i	−0.829765	−	0.988875i	0.170229	−	0.985405i	$-0.445549\pi$
$158$	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	0.154273	−	0.988028i	$-0.450697\pi$
$163$	13.8787	−	8.01289i	1.08707	−	0.627618i	0.932794	+	0.360410i	$0.117363\pi$
$164$	−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	−0.920819	−	0.389989i	$-0.872479\pi$
$167$	−4.87006	+	5.80391i	−0.376856	+	0.449120i	0.543963	+	0.839109i	$0.316923\pi$
$168$	−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	−0.769542	−	0.638596i	$-0.779516\pi$
$173$	3.03100	−	8.32761i	0.230443	−	0.633136i	0.999985	+	0.00545960i	$0.00173785\pi$
$174$	−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	0.949895	−	0.312570i	$-0.101190\pi$
$179$	2.73273	+	4.73323i	0.204254	+	0.353778i	−0.745641	+	0.666348i	$0.767857\pi$
$180$	−2.54426	+	4.86135i	−0.189638	+	0.362343i
$181$	−17.6816	+	6.43559i	−1.31427	+	0.478354i	−0.901617	−	0.432536i	$-0.857619\pi$
$181$	−17.6816	+	6.43559i	−1.31427	+	0.478354i	−0.412650	+	0.910890i	$0.635397\pi$
$182$	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	0.0976691	−	0.995219i	$-0.468861\pi$
$193$	7.36067	−	1.29789i	0.529833	−	0.0934238i	0.432164	+	0.901795i	$0.357750\pi$
$194$	−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	0.0736138	−	0.997287i	$-0.476547\pi$
$197$	−10.5724	−	6.10400i	−0.753255	−	0.434892i	−0.826869	+	0.562395i	$0.809880\pi$
$198$	−2.05297	+	1.18528i	−0.145898	+	0.0842343i
$199$	−7.29002	+	2.65335i	−0.516776	+	0.188091i	−0.587224	−	0.809424i	$-0.699779\pi$
$199$	−7.29002	+	2.65335i	−0.516776	+	0.188091i	0.0704481	+	0.997515i	$0.477557\pi$
$200$	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	−0.00442979	−	0.999990i	$-0.501410\pi$
$211$	−9.45058	−	3.43973i	−0.650605	−	0.236801i	−0.646175	+	0.763190i	$0.723632\pi$
$212$	−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	−0.852731	−	0.522350i	$-0.825056\pi$
$223$	−18.2046	−	21.6954i	−1.21907	−	1.45283i	−0.366339	−	0.930482i	$-0.619389\pi$
$224$	−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	$-0.823336\pi$
$227$		−	15.8786i		−	1.05390i	0.849897	−	0.526949i	$-0.176664\pi$
$228$	−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	0.988517	−	0.151109i	$-0.0482843\pi$
$233$	10.1973	+	12.1527i	0.668050	+	0.796151i	−0.320467	+	0.947260i	$0.603840\pi$
$234$	−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	0.976522	+	0.215416i	$0.0691109\pi$
$239$	10.4324	+	18.0695i	0.674817	+	1.16882i	−0.301705	+	0.953401i	$0.597556\pi$
$240$	−1.60044	+	0.351118i	−0.103308	+	0.0226646i
$241$	4.93664	−	27.9971i	0.317997	−	1.80345i	−0.236902	−	0.971533i	$-0.576132\pi$
$241$	4.93664	−	27.9971i	0.317997	−	1.80345i	0.554899	−	0.831917i	$-0.312757\pi$
$242$	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	0.999636	+	0.0269823i	$0.00858979\pi$
$251$	19.0083	+	15.9499i	1.19979	+	1.00675i	0.200157	+	0.979764i	$0.435855\pi$
$252$	−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	0.984111	−	0.177555i	$-0.0568188\pi$
$257$	1.86135	+	5.11403i	0.116108	+	0.319004i	−0.868003	+	0.496559i	$0.834597\pi$
$258$	−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	−0.731355	−	0.681997i	$-0.761112\pi$
$263$	−19.2231	+	3.38955i	−1.18535	+	0.209009i	−0.453992	+	0.891006i	$0.650001\pi$
$264$	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	−0.909880	−	0.414872i	$-0.863826\pi$
$269$	−3.22722	−	18.3025i	−0.196767	−	1.11592i	0.713113	−	0.701049i	$-0.247285\pi$
$270$	−7.11052	+	0.294782i	−0.432732	+	0.0179399i
$271$	1.44946	−	1.21624i	0.0880485	−	0.0738815i	−0.597701	−	0.801719i	$-0.703919\pi$
$271$	1.44946	−	1.21624i	0.0880485	−	0.0738815i	0.685749	+	0.727838i	$0.259475\pi$
$272$	−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	−0.665889	−	0.746051i	$-0.731948\pi$
$277$	−5.87068	+	3.38944i	−0.352735	+	0.203652i	0.313154	+	0.949702i	$0.398614\pi$
$278$	−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	0.317343	−	0.948311i	$-0.397209\pi$
$281$	−9.41170	−	7.89735i	−0.561455	−	0.471116i	−0.878798	+	0.477194i	$0.841654\pi$
$282$	1.86393	−	0.328661i	0.110995	−	0.0195715i
$283$	−8.77851	+	24.1188i	−0.521829	+	1.43371i	0.346654	+	0.937993i	$0.387318\pi$
$283$	−8.77851	+	24.1188i	−0.521829	+	1.43371i	−0.868483	+	0.495719i	$0.834905\pi$
$284$	−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	0.425800	−	0.904817i	$-0.359993\pi$
$293$	24.3458	−	14.0560i	1.42229	−	0.821162i	0.996495	+	0.0836552i	$0.0266594\pi$
$294$	−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	−0.100763	−	0.994910i	$-0.532128\pi$
$307$	2.53762	−	0.447450i	0.144829	−	0.0255373i	0.245593	+	0.969373i	$0.421017\pi$
$308$	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	−0.995427	−	0.0955246i	$-0.969547\pi$
$311$	−7.31837	+	12.6758i	−0.414987	+	0.718778i	0.580440	+	0.814303i	$0.302880\pi$
$312$	0.854810	−	0.493525i	0.0483941	−	0.0279403i
$313$	0.511007	+	1.40398i	0.0288838	+	0.0793577i	0.953296	−	0.302036i	$-0.0976664\pi$
$313$	0.511007	+	1.40398i	0.0288838	+	0.0793577i	−0.924413	+	0.381394i	$0.875444\pi$
$314$	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	0.327500	−	0.944851i	$-0.393794\pi$
$317$	5.55662	+	0.979782i	0.312091	+	0.0550301i	−0.0154089	+	0.999881i	$0.504905\pi$
$318$	−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	−0.855186	−	0.518321i	$-0.826557\pi$
$331$	−15.9460	−	27.6193i	−0.876472	−	1.51809i	−0.0212866	−	0.999773i	$-0.506776\pi$
$332$	−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	0.964524	−	0.263995i	$-0.0850402\pi$
$337$	9.85896	+	11.7495i	0.537052	+	0.640033i	−0.427472	+	0.904029i	$0.640596\pi$
$338$	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	0.764616	−	0.644486i	$-0.222929\pi$
$347$	−0.0531571	−	0.0633501i	−0.00285362	−	0.00340081i	−0.767469	+	0.641086i	$0.778484\pi$
$348$	−1.87860	−	0.331247i	−0.100703	−	0.0177567i
$349$	−2.32166	+	4.02124i	−0.124276	+	0.215252i	−0.921450	−	0.388498i	$-0.872994\pi$
$349$	−2.32166	+	4.02124i	−0.124276	+	0.215252i	0.797174	+	0.603750i	$0.206327\pi$
$350$	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	−0.589218	−	0.807974i	$-0.700564\pi$
$353$	−3.45892	+	1.99701i	−0.184100	+	0.106290i	0.405118	+	0.914265i	$0.367231\pi$
$354$	−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	0.955738	−	0.294220i	$-0.0950598\pi$
$359$	28.3973	+	10.3358i	1.49875	+	0.545502i	0.543017	+	0.839722i	$0.317282\pi$
$360$	−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	0.619208	−	0.785227i	$-0.287454\pi$
$367$	17.8643	+	3.14996i	0.932511	+	0.164427i	0.313302	+	0.949653i	$0.398565\pi$
$368$	−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	−0.186568	−	0.982442i	$-0.559736\pi$
$373$	−21.8369	−	12.6075i	−1.13067	−	0.652794i	−0.944104	+	0.329648i	$0.893070\pi$
$374$	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	0.307592	−	0.951518i	$-0.400477\pi$
$383$	18.0453	−	3.18187i	0.922072	−	0.162586i	0.614480	+	0.788932i	$0.289366\pi$
$384$	−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	−0.507461	−	0.861674i	$-0.669416\pi$
$389$	−6.75172	+	2.45743i	−0.342326	+	0.124596i	0.165136	+	0.986271i	$0.447194\pi$
$390$	−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	−0.998728	−	0.0504142i	$-0.983946\pi$
$397$	−4.00993	+	11.0172i	−0.201252	+	0.552937i	0.797476	+	0.603351i	$0.206168\pi$
$398$		−	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	−0.989623	−	0.143686i	$-0.954105\pi$
$401$	−36.8475	−	13.4114i	−1.84008	−	0.669734i	−0.850455	−	0.526048i	$-0.823673\pi$
$402$	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	−0.127465	−	0.991843i	$-0.540684\pi$
$409$	8.34099	−	3.03587i	0.412436	−	0.150114i	0.539901	+	0.841729i	$0.318462\pi$
$410$	−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	0.677352	+	0.735659i	$0.263127\pi$
$421$	6.00077	+	34.0320i	0.292459	+	1.65862i	−0.384893	+	0.922961i	$0.625762\pi$
$422$	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	−0.970627	−	0.240590i	$-0.922659\pi$
$431$	0.493077	−	2.79638i	0.0237507	−	0.134697i	0.994377	+	0.105893i	$0.0337702\pi$
$432$	2.69303	+	3.20943i	0.129568	+	0.154414i
$433$	−14.0467	+	16.7402i	−0.675040	+	0.804481i	−0.989461	−	0.144803i	$-0.953745\pi$
$433$	−14.0467	+	16.7402i	−0.675040	+	0.804481i	0.314421	+	0.949284i	$0.398190\pi$
$434$	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	0.945641	−	0.325212i	$-0.105436\pi$
$439$	30.6114	+	11.1416i	1.46100	+	0.531761i	0.515361	+	0.856973i	$0.327658\pi$
$440$	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	−0.0109135	−	0.999940i	$-0.503474\pi$
$443$	−7.64381	−	1.34781i	−0.363169	−	0.0640364i	−0.352255	+	0.935904i	$0.614585\pi$
$444$	−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	−0.456475	−	0.889736i	$-0.650888\pi$
$449$	11.4911	−	19.9031i	0.542296	−	0.939285i	0.998772	−	0.0495489i	$-0.0157784\pi$
$450$	−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	$0.0252549\pi$
$457$			3.38866i			0.158515i	−0.996854	+	0.0792573i	$0.974745\pi$
$458$	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	−0.815526	−	0.578720i	$-0.803552\pi$
$461$	−8.31382	+	6.97612i	−0.387213	+	0.324910i	0.428313	+	0.903630i	$0.359108\pi$
$462$	1.25110	+	0.220603i	0.0582064	+	0.0102634i
$463$	6.33213	+	3.65586i	0.294279	+	0.169902i	0.639870	−	0.768483i	$-0.278988\pi$
$463$	6.33213	+	3.65586i	0.294279	+	0.169902i	−0.345591	+	0.938385i	$0.612322\pi$
$464$	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	−0.701255	−	0.712910i	$-0.747377\pi$
$467$	−9.38929	+	5.42091i	−0.434484	+	0.250850i	0.266771	+	0.963760i	$0.414043\pi$
$468$	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	0.580459	−	0.814289i	$-0.302873\pi$
$479$	−2.64084	−	2.21593i	−0.120663	−	0.101249i	−0.701123	+	0.713041i	$0.747317\pi$
$480$	−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	−0.134177	−	0.990957i	$-0.542839\pi$
$487$	−23.3802	−	13.4986i	−1.05946	−	0.611680i	−0.925283	+	0.379278i	$0.876172\pi$
$488$	−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	0.985749	−	0.168224i	$-0.0538032\pi$
$491$	0.0423665	+	0.240272i	0.00191197	+	0.0108433i	−0.983837	+	0.179067i	$0.942692\pi$
$492$	−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	−0.585383	−	0.810757i	$-0.699056\pi$
$499$	2.48864	−	2.08821i	0.111407	−	0.0934813i	0.696789	+	0.717276i	$0.254611\pi$
$500$	−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	0.982092	−	0.188403i	$-0.0603312\pi$
$503$	2.43705	+	6.69573i	0.108663	+	0.298548i	−0.873429	+	0.486951i	$0.838109\pi$
$504$	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	0.612941	−	0.790129i	$-0.289986\pi$
$509$	−1.32543	−	1.11216i	−0.0587485	−	0.0492958i	−0.671689	+	0.740833i	$0.734431\pi$
$510$	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	0.691037	−	0.722819i	$-0.257154\pi$
$521$	−6.40164	−	11.0880i	−0.280461	−	0.485773i	−0.971498	+	0.237046i	$0.923821\pi$
$522$	3.86989	+	10.6324i	0.169380	+	0.465369i
$523$	2.98119	+	8.19075i	0.130358	+	0.358157i	0.987650	−	0.156674i	$-0.0500771\pi$
$523$	2.98119	+	8.19075i	0.130358	+	0.358157i	−0.857292	+	0.514830i	$0.827855\pi$
$524$	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	−0.554806	−	0.831979i	$-0.687208\pi$
$541$	−10.3511	+	3.76748i	−0.445027	+	0.161977i	0.109780	+	0.993956i	$0.464985\pi$
$542$	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	−0.451525	−	0.892259i	$-0.649120\pi$
$547$	11.8246	−	14.0921i	0.505585	−	0.602533i	0.957110	+	0.289726i	$0.0935642\pi$
$548$	−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	0.177863	−	0.984055i	$-0.443082\pi$
$557$	0.199028	+	0.0350939i	0.00843307	+	0.00148698i	−0.169430	+	0.985542i	$0.554193\pi$
$558$	−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	0.371462	−	0.928448i	$-0.378857\pi$
$563$	−5.85758	−	3.38187i	−0.246867	−	0.142529i	−0.618329	+	0.785919i	$0.712190\pi$
$564$	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	0.835723	−	0.549151i	$-0.185049\pi$
$577$	18.6883	+	10.7897i	0.778006	+	0.449182i	−0.0577173	+	0.998333i	$0.518382\pi$
$578$	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	−0.549356	−	0.835588i	$-0.685127\pi$
$587$	9.89913	−	27.1976i	0.408581	−	1.12257i	0.957937	−	0.286978i	$-0.0926508\pi$
$588$			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	−0.477676	−	0.878536i	$-0.658521\pi$
$593$	11.4565	−	13.6533i	0.470461	−	0.560674i	0.948137	+	0.317863i	$0.102965\pi$
$594$	−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	−0.500914	−	0.865497i	$-0.667003\pi$
$599$	−8.03512	+	2.92455i	−0.328306	+	0.119494i	0.172608	+	0.984991i	$0.444781\pi$
$600$	7.33752	−	3.38232i	0.299553	−	0.138083i
$601$	2.09514	−	3.62889i	0.0854627	−	0.148026i	−0.820126	−	0.572184i	$-0.806096\pi$
$601$	2.09514	−	3.62889i	0.0854627	−	0.148026i	0.905588	+	0.424158i	$0.139430\pi$
$602$	−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	$0.0492566\pi$
$607$			7.59458i			0.308254i	−0.988051	+	0.154127i	$0.950743\pi$
$608$	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	0.481030	−	0.876704i	$-0.340263\pi$
$613$	−11.5348	−	13.7466i	−0.465885	−	0.555220i	−0.946915	+	0.321484i	$0.895818\pi$
$614$	−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	−0.821367	−	0.570400i	$-0.806788\pi$
$617$	−13.8805	−	38.1365i	−0.558809	−	1.53532i	0.262558	−	0.964916i	$-0.415434\pi$
$618$	0.993517	+	2.72967i	0.0399651	+	0.109803i
$619$	−12.7804	−	22.1363i	−0.513688	−	0.889733i	−0.999874	−	0.0158781i	$-0.994946\pi$
$619$	−12.7804	−	22.1363i	−0.513688	−	0.889733i	0.486186	−	0.873855i	$-0.338388\pi$
$620$	−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	0.710718	−	0.703477i	$-0.248370\pi$
$631$	3.55051	+	2.97923i	0.141344	+	0.118601i	−0.569375	+	0.822078i	$0.692815\pi$
$632$	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	−0.220198	−	0.975455i	$-0.570670\pi$
$641$	17.7783	−	14.9178i	0.702201	−	0.589217i	0.922399	+	0.386239i	$0.126226\pi$
$642$	−5.43402	+	6.47602i	−0.214464	+	0.255588i
$643$	15.0138	−	2.64733i	0.592086	−	0.104401i	0.130426	−	0.991458i	$-0.458365\pi$
$643$	15.0138	−	2.64733i	0.592086	−	0.104401i	0.461659	+	0.887057i	$0.347254\pi$
$644$	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	$0.112948\pi$
$647$			17.6749i			0.694872i	−0.937704	+	0.347436i	$0.887052\pi$
$648$	−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	0.379149	−	0.925336i	$-0.376217\pi$
$653$	−5.94488	−	3.43228i	−0.232641	−	0.134315i	−0.611790	+	0.791020i	$0.709550\pi$
$654$	−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	0.740221	+	0.672364i	$0.234721\pi$
$659$	−4.75738	+	26.9804i	−0.185321	+	1.05101i	−0.925542	+	0.378645i	$0.876390\pi$
$660$	−0.885755	−	0.118595i	−0.0344780	−	0.00461629i
$661$	21.8707	+	18.3517i	0.850673	+	0.713800i	0.959938	−	0.280213i	$-0.0904051\pi$
$661$	21.8707	+	18.3517i	0.850673	+	0.713800i	−0.109265	+	0.994013i	$0.534850\pi$
$662$	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	−0.507904	+	0.861414i	$0.669580\pi$
$673$	−39.1173	+	22.5844i	−1.50786	+	0.870565i	−0.999958	+	0.00915115i	$0.997087\pi$
$674$	−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	0.996940	+	0.0781759i	$0.0249096\pi$
$677$	40.6710	+	23.4814i	1.56311	+	0.902463i	0.566172	+	0.824287i	$0.308424\pi$
$678$	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	$-0.878819\pi$
$683$		−	19.4215i		−	0.743142i	0.928405	−	0.371571i	$-0.121181\pi$
$684$	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	−0.644559	−	0.764555i	$-0.722959\pi$
$691$	8.93344	−	15.4732i	0.339844	−	0.588627i	0.984403	+	0.175927i	$0.0562923\pi$
$692$	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	0.264495	−	0.964387i	$-0.414795\pi$
$701$	−4.04522	−	1.47234i	−0.152786	−	0.0556096i	−0.417281	+	0.908777i	$0.637017\pi$
$702$			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	0.625553	+	0.780182i	$0.284873\pi$
$709$	−6.10059	+	34.5982i	−0.229112	+	1.29936i	−0.854665	+	0.519179i	$0.826238\pi$
$710$	−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	−0.918801	−	0.394722i	$-0.870841\pi$
$719$	−5.10577	−	28.9563i	−0.190413	−	1.07989i	0.728388	−	0.685165i	$-0.240270\pi$
$720$	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	0.964681	−	0.263419i	$-0.0848503\pi$
$727$	14.4993	+	17.2796i	0.537749	+	0.640864i	−0.426933	+	0.904283i	$0.640406\pi$
$728$	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	−0.963266	−	0.268550i	$-0.913456\pi$
$733$	−32.8225	+	18.9501i	−1.21233	+	0.699938i	−0.249062	+	0.968488i	$0.580122\pi$
$734$	−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	−0.149442	−	0.988770i	$-0.547748\pi$
$739$	−24.4523	−	8.89989i	−0.899491	−	0.327388i	−0.750049	+	0.661383i	$0.769970\pi$
$740$	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	0.0426041	+	0.999092i	$0.486435\pi$
$743$	−17.2335	+	47.3487i	−0.632237	+	1.73706i	−0.674841	+	0.737964i	$0.735788\pi$
$744$	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	−0.763079	−	0.646305i	$-0.776313\pi$
$751$	−25.5462	+	9.29806i	−0.932195	+	0.339291i	−0.169116	+	0.985596i	$0.554091\pi$
$752$	−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	−0.727969	−	0.685610i	$-0.759536\pi$
$757$	−32.3985	+	5.71273i	−1.17754	+	0.207633i	−0.449575	+	0.893243i	$0.648424\pi$
$758$	−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	−0.817408	−	0.576059i	$-0.804590\pi$
$769$	−29.7634	+	10.8330i	−1.07330	+	0.390648i	−0.255887	+	0.966707i	$0.582368\pi$
$770$	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	0.755844	−	0.654752i	$-0.227227\pi$
$773$	34.5358	+	6.08960i	1.24217	+	0.219028i	0.486323	+	0.873779i	$0.338338\pi$
$774$	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	0.321424	−	0.946936i	$-0.395839\pi$
$787$	36.5314	−	21.0914i	1.30221	−	0.751829i	0.980782	+	0.195107i	$0.0625054\pi$
$788$	−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	$-0.882215\pi$
$797$		−	20.4194i		−	0.723291i	0.932316	−	0.361646i	$-0.117785\pi$
$798$	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	0.999997	+	0.00224865i	$0.000715769\pi$
$809$	14.2768	+	24.7282i	0.501946	+	0.869396i	−0.498051	+	0.867148i	$0.665951\pi$
$810$	14.9562	−	3.28121i	0.525508	−	0.115290i
$811$	−0.279849	+	1.58710i	−0.00982681	+	0.0557306i	−0.989327	−	0.145713i	$-0.953452\pi$
$811$	−0.279849	+	1.58710i	−0.00982681	+	0.0557306i	0.979500	+	0.201444i	$0.0645634\pi$
$812$	−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	0.528822	−	0.848733i	$-0.322634\pi$
$821$	−6.16578	−	5.17371i	−0.215187	−	0.180564i	−0.744010	+	0.668169i	$0.767078\pi$
$822$	−0.845617	−	1.00777i	−0.0294943	−	0.0351499i
$823$	36.7750	+	6.48442i	1.28189	+	0.226033i	0.772784	−	0.634669i	$-0.218863\pi$
$823$	36.7750	+	6.48442i	1.28189	+	0.226033i	0.509110	+	0.860701i	$0.329975\pi$
$824$	−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	0.987566	−	0.157207i	$-0.0502491\pi$
$827$	3.73836	+	10.2711i	0.129996	+	0.357160i	−0.857570	+	0.514367i	$0.828027\pi$
$828$	−7.97098	+	4.60205i	−0.277011	+	0.159932i
$829$	16.8187	−	29.1309i	0.584139	−	1.01176i	−0.410843	−	0.911706i	$-0.634766\pi$
$829$	16.8187	−	29.1309i	0.584139	−	1.01176i	0.994982	−	0.100052i	$-0.0319010\pi$
$830$	−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	−0.997736	−	0.0672492i	$-0.978578\pi$
$839$	−2.40910	−	13.6627i	−0.0831714	−	0.471689i	0.914565	−	0.404439i	$-0.132533\pi$
$840$	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	−0.637591	−	0.770375i	$-0.720069\pi$
$853$	10.1059	−	27.7657i	0.346019	−	0.950680i	0.983611	−	0.180305i	$-0.0577086\pi$
$854$	−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	−0.912135	−	0.409889i	$-0.865567\pi$
$857$	1.46586	−	4.02741i	0.0500727	−	0.137574i	0.962208	+	0.272316i	$0.0877895\pi$
$858$	−0.278876	+	0.0491733i	−0.00952066	+	0.00167875i
$859$	26.7935	+	22.4824i	0.914181	+	0.767089i	0.972910	−	0.231185i	$-0.0742603\pi$
$859$	26.7935	+	22.4824i	0.914181	+	0.767089i	−0.0587290	+	0.998274i	$0.518705\pi$
$860$	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	−0.765294	−	0.643681i	$-0.777407\pi$
$863$	−17.3470	+	10.0153i	−0.590498	+	0.340924i	0.174797	+	0.984605i	$0.444073\pi$
$864$	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	−0.868916	−	0.494959i	$-0.835183\pi$
$877$	−44.8994	+	7.91697i	−1.51614	+	0.267337i	−0.647228	+	0.762297i	$0.724072\pi$
$878$	−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	−0.683069	−	0.730354i	$-0.739355\pi$
$881$	8.63649	−	14.9588i	0.290971	−	0.503976i	0.974040	+	0.226378i	$0.0726885\pi$
$882$	1.25571	−	0.724983i	0.0422819	−	0.0244114i
$883$	−12.0368	−	33.0707i	−0.405069	−	1.11292i	−0.959750	−	0.280856i	$-0.909382\pi$
$883$	−12.0368	−	33.0707i	−0.405069	−	1.11292i	0.554680	−	0.832063i	$-0.312840\pi$
$884$	−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	0.225667	−	0.974205i	$-0.427544\pi$
$887$	3.11307	+	0.548919i	0.104527	+	0.0184309i	−0.121140	+	0.992635i	$0.538655\pi$
$888$	−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	0.568749	−	0.822511i	$-0.307428\pi$
$907$	−10.2405	−	12.2041i	−0.340029	−	0.405230i	−0.908778	+	0.417281i	$0.862983\pi$
$908$	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	−0.0760708	−	0.997102i	$-0.524238\pi$
$919$	25.0245	−	43.3436i	0.825481	−	1.42977i	0.901551	−	0.432672i	$-0.142429\pi$
$920$	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	0.0666498	−	0.997776i	$-0.478769\pi$
$929$	−15.9606	−	5.80920i	−0.523652	−	0.190594i	−0.590302	+	0.807183i	$0.700991\pi$
$930$	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	−0.396997	−	0.917820i	$-0.629948\pi$
$937$	−33.1807	−	5.85065i	−1.08397	−	0.191132i	−0.686968	+	0.726687i	$0.741059\pi$
$938$	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	0.109557	−	0.993980i	$-0.465057\pi$
$941$	25.5345	−	9.29380i	0.832401	−	0.302969i	0.722844	+	0.691011i	$0.242834\pi$
$942$	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	0.386729	−	0.922193i	$-0.373605\pi$
$947$	32.7904	−	5.78183i	1.06554	−	0.187884i	0.678815	+	0.734309i	$0.262494\pi$
$948$	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	−0.636159	−	0.771558i	$-0.719478\pi$
$953$	−29.9466	+	5.28039i	−0.970065	+	0.171049i	−0.333906	+	0.942606i	$0.608367\pi$
$954$	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	−0.0230823	+	0.999734i	$0.507348\pi$
$967$	−20.1511	+	55.3648i	−0.648017	+	1.78041i	−0.624934	+	0.780677i	$0.714874\pi$
$968$			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	0.874426	−	0.485159i	$-0.161238\pi$
$971$	38.4033	+	13.9777i	1.23242	+	0.448564i	0.357995	+	0.933724i	$0.383461\pi$
$972$	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	−0.907021	−	0.421085i	$-0.861649\pi$
$977$	−31.1276	+	17.9716i	−0.995862	+	0.574961i	−0.0888405	+	0.996046i	$0.528316\pi$
$978$	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	0.859300	−	0.511472i	$-0.170900\pi$
$983$	6.47067	+	7.71144i	0.206382	+	0.245957i	−0.652918	+	0.757429i	$0.726455\pi$
$984$	−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	−0.993290	−	0.115646i	$-0.963106\pi$
$991$	−3.13089	−	17.7562i	−0.0994561	−	0.564043i	0.893834	−	0.448397i	$-0.148005\pi$
$992$	−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	0.796024	−	0.605265i	$-0.206933\pi$
$997$	−6.40419	−	17.5954i	−0.202823	−	0.557251i	−0.998847	+	0.0480143i	$0.984711\pi$
$998$	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.4.3	✓	48
3.2	odd	2		855.2.da.b.289.6		48
5.2	odd	4		475.2.l.f.251.3		48
5.3	odd	4		475.2.l.f.251.6		48
5.4	even	2	inner	95.2.p.a.4.6	yes	48
15.14	odd	2		855.2.da.b.289.3		48
19.5	even	9	inner	95.2.p.a.24.6	yes	48
19.9	even	9		1805.2.b.k.1084.9		24
19.10	odd	18		1805.2.b.l.1084.16		24
57.5	odd	18		855.2.da.b.784.3		48
95.9	even	18		1805.2.b.k.1084.16		24
95.24	even	18	inner	95.2.p.a.24.3	yes	48
95.28	odd	36		9025.2.a.cu.1.9		24
95.29	odd	18		1805.2.b.l.1084.9		24
95.43	odd	36		475.2.l.f.176.6		48
95.47	odd	36		9025.2.a.cu.1.16		24
95.48	even	36		9025.2.a.ct.1.16		24
95.62	odd	36		475.2.l.f.176.3		48
95.67	even	36		9025.2.a.ct.1.9		24
285.119	odd	18		855.2.da.b.784.6		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.p.a.4.3	✓	48	1.1	even	1	trivial
95.2.p.a.4.6	yes	48	5.4	even	2	inner
95.2.p.a.24.3	yes	48	95.24	even	18	inner
95.2.p.a.24.6	yes	48	19.5	even	9	inner
475.2.l.f.176.3		48	95.62	odd	36
475.2.l.f.176.6		48	95.43	odd	36
475.2.l.f.251.3		48	5.2	odd	4
475.2.l.f.251.6		48	5.3	odd	4
855.2.da.b.289.3		48	15.14	odd	2
855.2.da.b.289.6		48	3.2	odd	2
855.2.da.b.784.3		48	57.5	odd	18
855.2.da.b.784.6		48	285.119	odd	18
1805.2.b.k.1084.9		24	19.9	even	9
1805.2.b.k.1084.16		24	95.9	even	18
1805.2.b.l.1084.9		24	95.29	odd	18
1805.2.b.l.1084.16		24	19.10	odd	18
9025.2.a.ct.1.9		24	95.67	even	36
9025.2.a.ct.1.16		24	95.48	even	36
9025.2.a.cu.1.9		24	95.28	odd	36
9025.2.a.cu.1.16		24	95.47	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

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