LMFDB - Embedded newform 95.2.p.a.4.6

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			4.6
Character	$\chi$	$=$	95.4
Dual form			95.2.p.a.24.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.358233 - 0.984236i) q^{2} +(-0.523379 + 0.0922859i) q^{3} +(0.691698 + 0.580404i) q^{4} +(2.23415 + 0.0926215i) q^{5} +(-0.0966605 + 0.548189i) q^{6} +(-2.37320 - 1.37016i) q^{7} +(2.63320 - 1.52028i) q^{8} +(-2.55367 + 0.929459i) q^{9} +O(q^{10})$	\(q+(0.358233 - 0.984236i) q^{2} +(-0.523379 + 0.0922859i) q^{3} +(0.691698 + 0.580404i) q^{4} +(2.23415 + 0.0926215i) 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} +(0.891507 - 2.16575i) 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} +(-1.17785 + 0.157704i) 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} +(4.98284 + 0.413861i) 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} +(-0.266728 + 1.21578i) 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} +(-5.17516 - 3.28096i) q^{35} +(-2.30583 - 0.839253i) q^{36} -4.33071i q^{37} +(-1.73279 + 4.22391i) q^{38} -0.324628 q^{39} +(6.02377 - 3.15264i) 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} +(-5.79136 + 1.84003i) 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} +(2.19235 - 4.75604i) 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} +(-0.863535 - 1.64996i) q^{55} -8.33212 q^{56} +(2.29569 - 0.310183i) q^{57} +4.16359i q^{58} +(9.41315 + 3.42610i) q^{59} +(-0.906252 - 0.574547i) 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} +(1.33413 + 0.292692i) 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} +(-5.08316 + 3.91824i) 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} +(-0.409144 - 3.05580i) 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} +(-4.11826 + 10.0046i) 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} +(-0.263636 + 6.35923i) q^{90} +(-1.28227 - 1.07595i) q^{91} +(-3.33544 + 0.588129i) q^{92} +(-1.25906 + 3.45924i) q^{93} +3.56134 q^{94} +(-9.71431 - 0.795079i) 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	$-0.768139\pi$
$2$	0.358233	−	0.984236i	0.253309	−	0.695960i	0.999542	−	0.0302752i	$-0.00963837\pi$
$3$	−0.523379	+	0.0922859i	−0.302173	+	0.0532813i	−0.322679	−	0.946508i	$-0.604583\pi$
$3$	−0.523379	+	0.0922859i	−0.302173	+	0.0532813i	0.0205059	+	0.999790i	$0.493472\pi$
$4$	0.691698	+	0.580404i	0.345849	+	0.290202i
$5$	2.23415	+	0.0926215i	0.999142	+	0.0414216i
$5$	2.23415	+	0.0926215i	0.999142	+	0.0414216i
$6$	−0.0966605	+	0.548189i	−0.0394615	+	0.223797i
$7$	−2.37320	−	1.37016i	−0.896983	−	0.517874i	−0.0207632	−	0.999784i	$-0.506610\pi$
$7$	−2.37320	−	1.37016i	−0.896983	−	0.517874i	−0.876220	+	0.481911i	$0.839943\pi$
$8$	2.63320	−	1.52028i	0.930976	−	0.537499i
$9$	−2.55367	+	0.929459i	−0.851223	+	0.309820i
$10$	0.891507	−	2.16575i	0.281919	−	0.684871i
$11$	−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	0.256444	−	0.966559i	$-0.417449\pi$
$13$	0.601551	+	0.106070i	0.166840	+	0.0294185i	−0.0896039	+	0.995977i	$0.528560\pi$
$14$	−2.19872	+	1.84495i	−0.587633	+	0.493083i
$15$	−1.17785	+	0.157704i	−0.304121	+	0.0407190i
$16$	−0.239424	−	1.35784i	−0.0598561	−	0.339461i
$17$	−1.65483	+	4.54662i	−0.401356	+	1.10272i	0.560259	+	0.828317i	$0.310701\pi$
$17$	−1.65483	+	4.54662i	−0.401356	+	1.10272i	−0.961616	+	0.274400i	$0.911521\pi$
$18$			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	$-0.905670\pi$
$23$	−2.41106	+	2.87338i	−0.502740	+	0.599142i	0.453670	+	0.891170i	$0.350114\pi$
$24$	−1.23786	+	1.03869i	−0.252677	+	0.212021i
$25$	4.98284	+	0.413861i	0.996569	+	0.0827721i
$26$	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	$0.509217\pi$
$30$	−0.266728	+	1.21578i	−0.0486976	+	0.221970i
$31$	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
$35$	−5.17516	−	3.28096i	−0.874762	−	0.554584i
$36$	−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
$40$	6.02377	−	3.15264i	0.952441	−	0.498475i
$41$	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	$-0.928404\pi$
$43$	−6.72257	−	8.01164i	−1.02518	−	1.22176i	−0.0503713	−	0.998731i	$-0.516040\pi$
$44$	0.130585	−	0.740582i	0.0196864	−	0.111647i
$45$	−5.79136	+	1.84003i	−0.863326	+	0.274295i
$46$	1.96437	+	3.40239i	0.289631	+	0.501655i
$47$	1.16292	+	3.19511i	0.169630	+	0.466054i	0.995156	−	0.0983098i	$-0.0313436\pi$
$47$	1.16292	+	3.19511i	0.169630	+	0.466054i	−0.825526	+	0.564364i	$0.809121\pi$
$48$	0.250619	+	0.688571i	0.0361738	+	0.0993867i
$49$	0.254704	+	0.441160i	0.0363862	+	0.0630228i
$50$	2.19235	−	4.75604i	0.310046	−	0.672605i
$51$	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	$-0.389794\pi$
$53$	8.78556	−	10.4702i	1.20679	−	1.43820i	0.867444	−	0.497535i	$-0.165761\pi$
$54$	−0.552662	−	3.13430i	−0.0752077	−	0.426524i
$55$	−0.863535	−	1.64996i	−0.116439	−	0.222481i
$56$	−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	$0.385013\pi$
$60$	−0.906252	−	0.574547i	−0.116997	−	0.0741738i
$61$	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
$65$	1.33413	+	0.292692i	0.165479	+	0.0363040i
$66$	0.435636	−	0.158558i	0.0536231	−	0.0195172i
$67$	3.73984	+	10.2751i	0.456894	+	1.25531i	0.927785	+	0.373115i	$0.121710\pi$
$67$	3.73984	+	10.2751i	0.456894	+	1.25531i	−0.470891	+	0.882191i	$0.656067\pi$
$68$	−3.78352	+	2.18442i	−0.458819	+	0.264899i
$69$	0.996723	−	1.72638i	0.119991	−	0.207831i
$70$	−5.08316	+	3.91824i	−0.607553	+	0.468319i
$71$	−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	−0.562543	−	0.826768i	$-0.690177\pi$
$73$	−6.90688	+	1.21787i	−0.808389	+	0.142541i	−0.245846	+	0.969309i	$0.579066\pi$
$74$	−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	$-0.118267\pi$
$80$	−0.409144	−	3.05580i	−0.0457437	−	0.341649i
$81$	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	$-0.245307\pi$
$83$	4.30834	+	2.48742i	0.472902	+	0.273030i	−0.244552	+	0.969636i	$0.578641\pi$
$84$	0.657507	+	1.13884i	0.0717399	+	0.124257i
$85$	−4.11826	+	10.0046i	−0.446688	+	1.08515i
$86$	−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	$-0.0454766\pi$
$90$	−0.263636	+	6.35923i	−0.0277897	+	0.670322i
$91$	−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
$95$	−9.71431	−	0.795079i	−0.996667	−	0.0815734i
$96$	−2.46433			−0.251514
$97$	4.25430	−	11.6886i	0.431959	−	1.18680i	−0.512649	−	0.858598i	$-0.671336\pi$
$97$	4.25430	−	11.6886i	0.431959	−	1.18680i	0.944608	−	0.328200i	$-0.106442\pi$
$98$	0.525449	−	0.0926508i	0.0530783	−	0.00935914i
$99$	1.73377	+	1.45481i	0.174251	+	0.146214i
$100$	3.20642	+	3.17833i	0.320642	+	0.317833i
$101$	−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	−0.705845	−	0.708366i	$-0.749433\pi$
$103$	−4.51935	+	2.60925i	−0.445305	+	0.257097i	0.260541	+	0.965463i	$0.416099\pi$
$104$	1.74526	−	0.635222i	0.171137	−	0.0622887i
$105$	3.01136	+	1.23959i	0.293879	+	0.120972i
$106$	−7.15790	−	12.3979i	−0.695237	−	1.20419i
$107$	−13.1524	−	7.59356i	−1.27149	−	0.734097i	−0.296225	−	0.955118i	$-0.595728\pi$
$107$	−13.1524	−	7.59356i	−1.27149	−	0.734097i	−0.975269	+	0.221021i	$0.929061\pi$
$108$	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	$0.337932\pi$
$110$	−1.93330	+	0.258852i	−0.184333	+	0.0246805i
$111$	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
$120$	−2.86177	+	2.20593i	−0.261243	+	0.201373i
$121$	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
$125$	11.0941	+	1.38614i	0.992285	+	0.123981i
$126$	3.90001	−	6.75501i	0.347440	−	0.601784i
$127$	−9.04543	−	1.59495i	−0.802652	−	0.141529i	−0.242751	−	0.970089i	$-0.578050\pi$
$127$	−9.04543	−	1.59495i	−0.802652	−	0.141529i	−0.559901	+	0.828559i	$0.689161\pi$
$128$	0.834749	+	0.994815i	0.0737821	+	0.0879301i
$129$	4.25781	+	3.57273i	0.374880	+	0.314561i
$130$	0.766008	−	1.20825i	0.0671833	−	0.105970i
$131$	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
$135$	6.01992	−	3.15062i	0.518112	−	0.271162i
$136$	2.55462	+	14.4880i	0.219057	+	1.24233i
$137$	1.51913	−	1.81043i	0.129788	−	0.154675i	−0.697237	−	0.716841i	$-0.745587\pi$
$137$	1.51913	−	1.81043i	0.129788	−	0.154675i	0.827025	+	0.562166i	$0.190032\pi$
$138$	−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	$0.0885909\pi$
$140$	−1.67537	−	5.27312i	−0.141595	−	0.445660i
$141$	−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
$145$	−8.47142	+	2.69153i	−0.703513	+	0.223520i
$146$	−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	$-0.254252\pi$
$150$	−0.708517	+	2.69153i	−0.0578502	+	0.219763i
$151$	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
$155$	8.29333	−	13.0813i	0.666136	−	1.05072i
$156$	−0.224545	−	0.188415i	−0.0179780	−	0.0150853i
$157$	10.3969	+	12.3906i	0.829765	+	0.988875i	0.999994	+	0.00347076i	$0.00110478\pi$
$157$	10.3969	+	12.3906i	0.829765	+	0.988875i	−0.170229	+	0.985405i	$0.554451\pi$
$158$	−3.58914	−	0.632862i	−0.285536	−	0.0503478i
$159$	−3.63193	+	6.29068i	−0.288031	+	0.498884i
$160$	10.1277	+	2.22189i	0.800665	+	0.175656i
$161$	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	$-0.882637\pi$
$163$	−13.8787	+	8.01289i	−1.08707	+	0.627618i	−0.154273	+	0.988028i	$0.549303\pi$
$164$	−2.40044	+	4.15769i	−0.187443	+	0.324661i
$165$	0.604225	+	0.783865i	0.0470388	+	0.0610238i
$166$	3.99160	−	3.34935i	0.309809	−	0.259960i
$167$	4.87006	−	5.80391i	0.376856	−	0.449120i	−0.543963	−	0.839109i	$-0.683077\pi$
$167$	4.87006	−	5.80391i	0.376856	−	0.449120i	0.920819	+	0.389989i	$0.127521\pi$
$168$	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	$-0.998262\pi$
$173$	−3.03100	+	8.32761i	−0.230443	+	0.633136i	0.769542	+	0.638596i	$0.220484\pi$
$174$	−0.384240	−	2.17914i	−0.0291292	−	0.165200i
$175$	−11.2582	−	7.80949i	−0.851040	−	0.590342i
$176$	−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	$0.767857\pi$
$180$	−5.07383	−	2.08859i	−0.378181	−	0.155674i
$181$	−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
$185$	0.401117	−	9.67545i	0.0294907	−	0.711354i
$186$	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
$190$	−4.26253	+	9.27636i	−0.309236	+	0.672978i
$191$	−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	$-0.642250\pi$
$193$	−7.36067	+	1.29789i	−0.529833	+	0.0934238i	−0.0976691	+	0.995219i	$0.531139\pi$
$194$	−9.98032	−	8.37448i	−0.716545	−	0.601253i
$195$	−0.725268	−	0.0300676i	−0.0519375	−	0.00215318i
$196$	−0.0798727	+	0.452980i	−0.00570519	+	0.0323557i
$197$	10.5724	+	6.10400i	0.753255	+	0.434892i	0.826869	−	0.562395i	$-0.190120\pi$
$197$	10.5724	+	6.10400i	0.753255	+	0.434892i	−0.0736138	+	0.997287i	$0.523453\pi$
$198$	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	$0.477557\pi$
$200$	13.7500	−	6.48553i	0.972271	−	0.458596i
$201$	−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
$205$	1.57775	+	11.7838i	0.110195	+	0.823017i
$206$	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
$215$	−14.2772	−	18.5219i	−0.973695	−	1.26318i
$216$	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
$220$	0.360339	−	1.64248i	0.0242941	−	0.110736i
$221$	−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	$0.174944\pi$
$223$	18.2046	+	21.6954i	1.21907	+	1.45283i	0.366339	+	0.930482i	$0.380611\pi$
$224$	−9.73398	−	8.16778i	−0.650379	−	0.545733i
$225$	−13.1092	+	3.57449i	−0.873946	+	0.238299i
$226$	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	$0.622776\pi$
$230$	4.07356	+	7.78339i	0.268603	+	0.513221i
$231$	−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	$-0.396160\pi$
$233$	−10.1973	−	12.1527i	−0.668050	−	0.796151i	−0.988517	+	0.151109i	$0.951716\pi$
$234$	−0.301914	+	1.71224i	−0.0197368	+	0.111933i
$235$	2.30221	+	7.24606i	0.150180	+	0.472681i
$236$	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	$0.597556\pi$
$240$	0.496144	+	1.56158i	0.0320260	+	0.100800i
$241$	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
$245$	0.528185	+	1.00921i	0.0337445	+	0.0644759i
$246$	−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
$250$	5.33856	−	10.4226i	0.337640	−	0.659185i
$251$	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
$255$	1.23213	−	5.61623i	0.0771592	−	0.351702i
$256$	15.5885	−	5.67373i	0.974279	−	0.354608i
$257$	−1.86135	−	5.11403i	−0.116108	−	0.319004i	0.868003	−	0.496559i	$-0.165403\pi$
$257$	−1.86135	−	5.11403i	−0.116108	−	0.319004i	−0.984111	+	0.177555i	$0.943181\pi$
$258$	5.04170	−	2.91083i	0.313882	−	0.181220i
$259$	−5.93379	+	10.2776i	−0.368708	+	0.638620i
$260$	0.752936	+	0.976789i	0.0466951	+	0.0605779i
$261$	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	$-0.349999\pi$
$263$	19.2231	−	3.38955i	1.18535	−	0.209009i	0.731355	+	0.681997i	$0.238888\pi$
$264$	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	$-0.247285\pi$
$270$	−0.944425	−	7.05368i	−0.0574759	−	0.429273i
$271$	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
$275$	−1.77644	−	3.76625i	−0.107124	−	0.227113i
$276$	1.69143	−	0.615629i	0.101812	−	0.0370565i
$277$	5.87068	−	3.38944i	0.352735	−	0.203652i	−0.313154	−	0.949702i	$-0.601386\pi$
$277$	5.87068	−	3.38944i	0.352735	−	0.203652i	0.665889	+	0.746051i	$0.268052\pi$
$278$	2.21580	+	1.27929i	0.132895	+	0.0767269i
$279$	−3.26873	+	18.5379i	−0.195694	+	1.10984i
$280$	−18.6152	−	0.771734i	−1.11247	−	0.0461199i
$281$	−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	$-0.612682\pi$
$283$	8.77851	−	24.1188i	0.521829	−	1.43371i	0.868483	−	0.495719i	$-0.165095\pi$
$284$	−0.611952			−0.0363126
$285$	5.15764	−	0.480366i	0.305512	−	0.0284544i
$286$	−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
$290$	−0.385638	+	9.30208i	−0.0226454	+	0.546237i
$291$	−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	$-0.973341\pi$
$293$	−24.3458	+	14.0560i	−1.42229	+	0.821162i	−0.425800	+	0.904817i	$0.640007\pi$
$294$	−0.266459	+	0.0969830i	−0.0155402	+	0.00565616i
$295$	20.7130	+	8.52629i	1.20596	+	0.496420i
$296$	−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
$300$	−1.97149	−	1.36756i	−0.113824	−	0.0789563i
$301$	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	$-0.578983\pi$
$307$	−2.53762	+	0.447450i	−0.144829	+	0.0255373i	0.100763	+	0.994910i	$0.467872\pi$
$308$	−1.32462	+	1.57862i	−0.0754774	+	0.0899504i
$309$	2.12454	−	1.78270i	0.120861	−	0.101414i
$310$	−9.90418	−	12.8488i	−0.562519	−	0.729760i
$311$	−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	0.924413	−	0.381394i	$-0.124556\pi$
$313$	−0.511007	−	1.40398i	−0.0288838	−	0.0793577i	−0.953296	+	0.302036i	$0.902334\pi$
$314$	15.9198	−	5.79432i	0.898405	−	0.326993i
$315$	16.2652	+	3.56838i	0.916439	+	0.201056i
$316$	1.57093	−	2.72094i	0.0883719	−	0.153065i
$317$	−5.55662	−	0.979782i	−0.312091	−	0.0550301i	0.0154089	−	0.999881i	$-0.495095\pi$
$317$	−5.55662	−	0.979782i	−0.312091	−	0.0550301i	−0.327500	+	0.944851i	$0.606206\pi$
$318$	4.89044	+	5.82820i	0.274242	+	0.326829i
$319$	2.53611	+	2.12805i	0.141995	+	0.119148i
$320$	9.11656	−	14.3798i	0.509631	−	0.803857i
$321$	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
$325$	2.95354	+	0.777487i	0.163833	+	0.0431272i
$326$	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
$330$	0.987961	−	0.313894i	0.0543855	−	0.0172793i
$331$	−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
$335$	7.40366	+	23.3026i	0.404505	+	1.27315i
$336$	0.348687	−	1.97750i	0.0190224	−	0.107882i
$337$	−9.85896	−	11.7495i	−0.537052	−	0.640033i	0.427472	−	0.904029i	$-0.359404\pi$
$337$	−9.85896	−	11.7495i	−0.537052	−	0.640033i	−0.964524	+	0.263995i	$0.914960\pi$
$338$	−8.50114	+	10.1313i	−0.462401	+	0.551068i
$339$	−0.366691	−	2.07961i	−0.0199159	−	0.112949i
$340$	−8.65527	+	4.52988i	−0.469398	+	0.245667i
$341$	−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
$345$	2.38673	−	3.76466i	0.128497	−	0.202683i
$346$	7.11053	+	5.96644i	0.382264	+	0.320758i
$347$	0.0531571	+	0.0633501i	0.00285362	+	0.00340081i	0.767469	−	0.641086i	$-0.221516\pi$
$347$	0.0531571	+	0.0633501i	0.00285362	+	0.00340081i	−0.764616	+	0.644486i	$0.777071\pi$
$348$	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	$0.206327\pi$
$350$	−11.7194	+	8.28312i	−0.626430	+	0.442751i
$351$	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	$-0.632769\pi$
$353$	3.45892	−	1.99701i	0.184100	−	0.106290i	0.589218	+	0.807974i	$0.299436\pi$
$354$	−2.78803	+	4.82901i	−0.148182	+	0.256659i
$355$	−1.20025	+	0.925185i	−0.0637026	+	0.0491037i
$356$	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
$365$	−15.5438	+	2.08117i	−0.813599	+	0.108934i
$366$	−3.86863	+	3.24617i	−0.202217	+	0.169680i
$367$	−17.8643	−	3.14996i	−0.932511	−	0.164427i	−0.313302	−	0.949653i	$-0.601435\pi$
$367$	−17.8643	−	3.14996i	−0.932511	−	0.164427i	−0.619208	+	0.785227i	$0.712546\pi$
$368$	4.47887	+	2.58588i	0.233477	+	0.134798i
$369$	−7.22450	−	12.5132i	−0.376092	−	0.651411i
$370$	−9.37924	−	3.86086i	−0.487604	−	0.200717i
$371$	−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	$-0.106930\pi$
$373$	21.8369	+	12.6075i	1.13067	+	0.652794i	0.186568	+	0.982442i	$0.440264\pi$
$374$	0.732902	−	4.15649i	0.0378975	−	0.214927i
$375$	−5.93433	+	0.298347i	−0.306448	+	0.0154066i
$376$	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	$0.249634\pi$
$380$	−6.25790	−	6.18818i	−0.321024	−	0.317447i
$381$	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	$-0.710634\pi$
$383$	−18.0453	+	3.18187i	−0.922072	+	0.162586i	−0.307592	+	0.951518i	$0.599523\pi$
$384$	−0.528698	−	0.443630i	−0.0269800	−	0.0226389i
$385$	−0.211385	+	5.09887i	−0.0107732	+	0.259863i
$386$	−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	$0.447194\pi$
$390$	−0.289408	+	0.703064i	−0.0146548	+	0.0356010i
$391$	−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
$395$	−1.03253	−	7.71173i	−0.0519523	−	0.388019i
$396$	0.354871	+	2.01257i	0.0178330	+	0.101136i
$397$	4.00993	−	11.0172i	0.201252	−	0.552937i	−0.797476	−	0.603351i	$-0.793832\pi$
$397$	4.00993	−	11.0172i	0.201252	−	0.552937i	0.998728	+	0.0504142i	$0.0160541\pi$
$398$			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
$405$	11.5784	−	8.92494i	0.575335	−	0.443484i
$406$	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	$0.318462\pi$
$410$	12.1633	+	2.66847i	0.600700	+	0.131786i
$411$	−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
$415$	9.39509	+	5.95632i	0.461187	+	0.292384i
$416$	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	$0.438965\pi$
$420$	1.36349	+	2.60523i	0.0665314	+	0.127122i
$421$	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
$425$	−10.1274	+	21.9702i	−0.491253	+	1.06571i
$426$	−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
$430$	−23.3444	+	7.41697i	−1.12577	+	0.357678i
$431$	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	−0.314421	−	0.949284i	$-0.601810\pi$
$433$	14.0467	−	16.7402i	0.675040	−	0.804481i	0.989461	+	0.144803i	$0.0462548\pi$
$434$	3.45237	+	19.5794i	0.165719	+	0.939839i
$435$	4.18538	−	2.19048i	0.200673	−	0.105026i
$436$	−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	$0.327658\pi$
$440$	−4.78226	−	3.03187i	−0.227985	−	0.144539i
$441$	−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	$-0.385415\pi$
$443$	7.64381	+	1.34781i	0.363169	+	0.0640364i	0.0109135	+	0.999940i	$0.496526\pi$
$444$	−1.03910	+	1.79977i	−0.0493134	+	0.0854134i
$445$	2.82168	−	12.8616i	0.133760	−	0.609698i
$446$	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	$-0.0157784\pi$
$450$	−1.17800	+	14.1830i	−0.0555316	+	0.668595i
$451$	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
$460$	−7.50635	+	1.00503i	−0.349986	+	0.0468599i
$461$	−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	0.345591	−	0.938385i	$-0.387678\pi$
$463$	−6.33213	−	3.65586i	−0.294279	−	0.169902i	−0.639870	+	0.768483i	$0.721012\pi$
$464$	2.74045	+	4.74660i	0.127222	+	0.220355i
$465$	−3.13333	+	7.61185i	−0.145305	+	0.352991i
$466$	−15.6142	+	5.68309i	−0.723313	+	0.263264i
$467$	9.38929	−	5.42091i	0.434484	−	0.250850i	−0.266771	−	0.963760i	$-0.585957\pi$
$467$	9.38929	−	5.42091i	0.434484	−	0.250850i	0.701255	+	0.712910i	$0.252623\pi$
$468$	−1.29806	−	0.749433i	−0.0600026	−	0.0346425i
$469$	5.20325	−	29.5091i	0.240264	−	1.36260i
$470$	7.95656	+	0.329857i	0.367009	+	0.0152152i
$471$	−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
$475$	−21.6296	−	2.67608i	−0.992433	−	0.122787i
$476$	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	$0.747317\pi$
$480$	−5.50568	−	0.228250i	−0.251299	−	0.0104181i
$481$	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
$485$	10.5874	−	25.7200i	0.480747	−	1.16789i
$486$	6.59359	+	11.4204i	0.299091	+	0.518042i
$487$	23.3802	+	13.4986i	1.05946	+	0.611680i	0.925283	−	0.379278i	$-0.123828\pi$
$487$	23.3802	+	13.4986i	1.05946	+	0.611680i	0.134177	+	0.990957i	$0.457161\pi$
$488$	27.1662	+	4.79014i	1.22976	+	0.216839i
$489$	6.52436	−	5.47459i	0.295042	−	0.247570i
$490$	1.18251	−	0.158328i	0.0534205	−	0.00715252i
$491$	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	$0.254611\pi$
$500$	6.86923	+	7.39784i	0.307201	+	0.330841i
$501$	−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	$-0.161891\pi$
$503$	−2.43705	−	6.69573i	−0.108663	−	0.298548i	−0.982092	+	0.188403i	$0.939669\pi$
$504$	21.2775	−	7.74437i	0.947774	−	0.344962i
$505$	−8.49915	+	38.7403i	−0.378207	+	1.72392i
$506$	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	$0.734431\pi$
$510$	−5.08631	−	3.22463i	−0.225226	−	0.142789i
$511$	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
$515$	−10.3386	+	5.41086i	−0.455572	+	0.238431i
$516$	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
$520$	3.95800	−	1.25753i	0.173570	−	0.0551465i
$521$	−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	0.857292	−	0.514830i	$-0.172145\pi$
$523$	−2.98119	−	8.19075i	−0.130358	−	0.358157i	−0.987650	+	0.156674i	$0.949923\pi$
$524$	1.68808	+	2.92384i	0.0737441	+	0.127729i
$525$	6.61301	+	3.04835i	0.288616	+	0.133041i
$526$	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
$530$	−14.8435	−	28.3616i	−0.644761	−	1.23195i
$531$	−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
$535$	−28.6812	−	18.1833i	−1.23999	−	0.786135i
$536$	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
$540$	5.99260	+	1.31470i	0.257880	+	0.0565759i
$541$	−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
$545$	−6.94685	+	5.35483i	−0.297570	+	0.229376i
$546$	0.713767	−	0.598922i	0.0305464	−	0.0256315i
$547$	−11.8246	+	14.0921i	−0.505585	+	0.602533i	−0.957110	−	0.289726i	$-0.906436\pi$
$547$	−11.8246	+	14.0921i	−0.505585	+	0.602533i	0.451525	+	0.892259i	$0.350880\pi$
$548$	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
$555$	0.682971	+	5.10095i	0.0289905	+	0.216523i
$556$	−1.68967	+	1.41780i	−0.0716581	+	0.0601283i
$557$	−0.199028	−	0.0350939i	−0.00843307	−	0.00148698i	0.169430	−	0.985542i	$-0.445807\pi$
$557$	−0.199028	−	0.0350939i	−0.00843307	−	0.00148698i	−0.177863	+	0.984055i	$0.556918\pi$
$558$	17.0747	+	9.85809i	0.722830	+	0.417326i
$559$	−3.19418	−	5.53248i	−0.135099	−	0.233999i
$560$	−3.21597	+	7.81260i	−0.135900	+	0.330143i
$561$	−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	$-0.287810\pi$
$563$	5.85758	+	3.38187i	0.246867	+	0.142529i	−0.371462	+	0.928448i	$0.621143\pi$
$564$	0.283333	−	1.60686i	0.0119305	−	0.0676611i
$565$	−0.368025	+	8.87722i	−0.0154829	+	0.373468i
$566$	−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	$0.547933\pi$
$570$	1.37484	−	5.24842i	0.0575858	−	0.219832i
$571$	−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
$575$	−13.2031	+	13.3198i	−0.550607	+	0.555473i
$576$	−3.59320	+	20.3781i	−0.149717	+	0.849086i
$577$	−18.6883	−	10.7897i	−0.778006	−	0.449182i	0.0577173	−	0.998333i	$-0.481618\pi$
$577$	−18.6883	−	10.7897i	−0.778006	−	0.449182i	−0.835723	+	0.549151i	$0.814951\pi$
$578$	−5.81457	+	3.35704i	−0.241854	+	0.139635i
$579$	3.73265	−	1.35857i	0.155124	−	0.0564603i
$580$	−7.42184	−	3.05512i	−0.308175	−	0.126857i
$581$	−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
$585$	−3.67897	+	0.492582i	−0.152107	+	0.0203657i
$586$	5.11301	+	28.9973i	0.211216	+	1.19787i
$587$	−9.89913	+	27.1976i	−0.408581	+	1.12257i	0.549356	+	0.835588i	$0.314873\pi$
$587$	−9.89913	+	27.1976i	−0.408581	+	1.12257i	−0.957937	+	0.286978i	$0.907349\pi$
$588$		−	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	$-0.897035\pi$
$593$	−11.4565	+	13.6533i	−0.470461	+	0.560674i	0.477676	+	0.878536i	$0.341479\pi$
$594$	−2.03050	+	1.70379i	−0.0833123	+	0.0699073i
$595$	23.4813	−	18.1001i	0.962640	−	0.742030i
$596$	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	$0.444781\pi$
$600$	−6.59794	+	4.66332i	−0.269360	+	0.190379i
$601$	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
$605$	12.3397	−	19.4638i	0.501680	−	0.791316i
$606$	−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
$610$	18.8258	−	9.85279i	0.762235	−	0.398928i
$611$	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	$-0.104182\pi$
$613$	11.5348	+	13.7466i	0.465885	+	0.555220i	−0.481030	+	0.876704i	$0.659737\pi$
$614$	−0.468661	+	2.65791i	−0.0189136	+	0.107264i
$615$	−1.91324	−	6.02180i	−0.0771492	−	0.242822i
$616$	3.46964	+	6.00960i	0.139796	+	0.242134i
$617$	13.8805	+	38.1365i	0.558809	+	1.53532i	0.821367	+	0.570400i	$0.193212\pi$
$617$	13.8805	+	38.1365i	0.558809	+	1.53532i	−0.262558	+	0.964916i	$0.584566\pi$
$618$	−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	$-0.338388\pi$
$620$	13.3289	−	4.23485i	0.535303	−	0.170076i
$621$	−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
$625$	24.6574	+	4.12440i	0.986298	+	0.164976i
$626$	−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
$630$	9.33885	−	14.7305i	0.372069	−	0.586876i
$631$	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
$635$	−20.0611	−	4.40116i	−0.796101	−	0.174655i
$636$	−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
$640$	1.77281	+	2.29988i	0.0700766	+	0.0909108i
$641$	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	−0.461659	−	0.887057i	$-0.652746\pi$
$643$	−15.0138	+	2.64733i	−0.592086	+	0.104401i	−0.130426	+	0.991458i	$0.541635\pi$
$644$	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
$650$	1.82329	−	2.62846i	0.0715151	−	0.103097i
$651$	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	$-0.290450\pi$
$653$	5.94488	+	3.43228i	0.232641	+	0.134315i	−0.379149	+	0.925336i	$0.623783\pi$
$654$	−1.09174	−	1.89095i	−0.0426905	−	0.0739420i
$655$	7.73135	+	3.18252i	0.302089	+	0.124351i
$656$	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	$0.876390\pi$
$660$	−0.0370168	+	0.892892i	−0.00144088	+	0.0347558i
$661$	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
$665$	21.9646	+	15.1971i	0.851749	+	0.589318i
$666$	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
$670$	25.5875	+	1.06078i	0.988530	+	0.0409817i
$671$	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	$-0.330420\pi$
$673$	39.1173	−	22.5844i	1.50786	−	0.870565i	0.999958	−	0.00915115i	$-0.00291294\pi$
$674$	−15.0960	+	5.49451i	−0.581478	+	0.211641i
$675$	13.7412	−	6.48139i	0.528900	−	0.249469i
$676$	−5.70071	−	9.87392i	−0.219258	−	0.379766i
$677$	−40.6710	−	23.4814i	−1.56311	−	0.902463i	−0.996940	−	0.0781759i	$-0.975090\pi$
$677$	−40.6710	−	23.4814i	−1.56311	−	0.902463i	−0.566172	−	0.824287i	$-0.691576\pi$
$678$	−2.17819	−	0.384073i	−0.0836527	−	0.0147502i
$679$	−26.1116	+	21.9102i	−1.00207	+	0.840838i
$680$	4.36550	+	32.6049i	0.167409	+	1.25034i
$681$	−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
$690$	−2.85031	−	3.69773i	−0.108510	−	0.140770i
$691$	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
$695$	−1.17051	+	5.33536i	−0.0444001	+	0.202382i
$696$	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
$700$	−3.25462	−	11.9361i	−0.123013	−	0.451143i
$701$	−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
$705$	−1.87364	−	3.57997i	−0.0705653	−	0.134830i
$706$	−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	$0.826238\pi$
$710$	0.480633	+	1.51276i	0.0180378	+	0.0567729i
$711$	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
$715$	−0.344450	−	1.08413i	−0.0128817	−	0.0405443i
$716$	−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	$-0.240270\pi$
$720$	3.88506	+	7.42321i	0.144788	+	0.276647i
$721$	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
$725$	−19.1757	+	5.22865i	−0.712168	+	0.194187i
$726$	4.39480	+	3.68767i	0.163106	+	0.136862i
$727$	−14.4993	−	17.2796i	−0.537749	−	0.640864i	0.426933	−	0.904283i	$-0.359594\pi$
$727$	−14.4993	−	17.2796i	−0.537749	−	0.640864i	−0.964681	+	0.263419i	$0.915150\pi$
$728$	−5.01220	−	0.883786i	−0.185765	−	0.0327553i
$729$	−6.46109	+	11.1909i	−0.239300	+	0.414479i
$730$	−3.51993	+	16.0443i	−0.130278	+	0.593827i
$731$	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	$-0.419878\pi$
$733$	32.8225	−	18.9501i	1.21233	−	0.699938i	0.963266	+	0.268550i	$0.0865443\pi$
$734$	−9.49990	+	16.4543i	−0.350648	+	0.607340i
$735$	−0.369577	−	0.479454i	−0.0136320	−	0.0176849i
$736$	−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	$-0.513565\pi$
$743$	17.2335	−	47.3487i	0.632237	−	1.73706i	0.674841	−	0.737964i	$-0.264212\pi$
$744$	1.94365	+	11.0230i	0.0712577	+	0.404123i
$745$	−4.23411	−	31.6235i	−0.155126	−	1.15860i
$746$	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
$750$	−1.83223	+	5.94766i	−0.0669035	+	0.217178i
$751$	−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
$755$	5.23504	+	0.217030i	0.190523	+	0.00789854i
$756$	−5.75963	−	4.83291i	−0.209476	−	0.175771i
$757$	32.3985	−	5.71273i	1.17754	−	0.207633i	0.449575	−	0.893243i	$-0.351576\pi$
$757$	32.3985	−	5.71273i	1.17754	−	0.207633i	0.727969	+	0.685610i	$0.240464\pi$
$758$	9.87411	−	27.1289i	0.358644	−	0.985366i
$759$	−1.66021			−0.0602619
$760$	−26.7884	+	12.6748i	−0.971719	+	0.459765i
$761$	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
$765$	1.21785	−	29.3761i	0.0440314	−	1.06209i
$766$	−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	$0.582368\pi$
$770$	4.94277	+	2.03464i	0.178125	+	0.0733232i
$771$	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	$-0.661662\pi$
$773$	−34.5358	−	6.08960i	−1.24217	−	0.219028i	−0.755844	+	0.654752i	$0.772773\pi$
$774$	22.8042	−	19.1350i	0.819679	−	0.687792i
$775$	19.7401	−	28.4575i	0.709087	−	1.02222i
$776$	−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
$785$	22.0806	+	28.6454i	0.788092	+	1.02240i
$786$	−1.04066	+	1.80248i	−0.0371191	+	0.0642922i
$787$	−36.5314	+	21.0914i	−1.30221	+	0.751829i	−0.980782	−	0.195107i	$-0.937495\pi$
$787$	−36.5314	+	21.0914i	−1.30221	+	0.751829i	−0.321424	+	0.946936i	$0.604161\pi$
$788$	3.77015	+	10.3584i	0.134306	+	0.369003i
$789$	−9.74816	+	3.54804i	−0.347044	+	0.126314i
$790$	−7.96005	−	1.74634i	−0.283206	−	0.0621320i
$791$	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
$795$	−8.69692	+	13.7179i	−0.308448	+	0.486525i
$796$	−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
$800$	22.4210	+	5.90209i	0.792702	+	0.208670i
$801$	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
$805$	21.9051	−	6.95965i	0.772052	−	0.245296i
$806$	−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	$0.665951\pi$
$810$	−4.63650	−	14.5931i	−0.162910	−	0.512748i
$811$	−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
$815$	−31.7493	+	16.6165i	−1.11213	+	0.582051i
$816$	−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
$820$	−5.74804	+	9.06657i	−0.200730	+	0.316618i
$821$	−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	−0.509110	−	0.860701i	$-0.670025\pi$
$823$	−36.7750	−	6.48442i	−1.28189	−	0.226033i	−0.772784	+	0.634669i	$0.781137\pi$
$824$	−7.93356	+	13.7413i	−0.276379	+	0.478702i
$825$	1.27733	+	1.80723i	0.0444708	+	0.0629198i
$826$	−27.0179	+	9.83370i	−0.940072	+	0.342158i
$827$	−3.73836	−	10.2711i	−0.129996	−	0.357160i	0.857570	−	0.514367i	$-0.171973\pi$
$827$	−3.73836	−	10.2711i	−0.129996	−	0.357160i	−0.987566	+	0.157207i	$0.949751\pi$
$828$	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	$-0.0319010\pi$
$830$	9.22806	−	7.11324i	0.320311	−	0.246904i
$831$	−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	$-0.132533\pi$
$840$	9.81403	−	1.31401i	0.338616	−	0.0453377i
$841$	−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
$845$	−26.1090	−	10.7475i	−0.898179	−	0.369725i
$846$	−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
$850$	17.9959	+	17.8383i	0.617255	+	0.611847i
$851$	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	$0.279931\pi$
$853$	−10.1059	+	27.7657i	−0.346019	+	0.950680i	−0.983611	+	0.180305i	$0.942291\pi$
$854$	−26.0400			−0.891071
$855$	25.5461	−	6.99869i	0.873659	−	0.239350i
$856$	−46.1773			−1.57831
$857$	−1.46586	+	4.02741i	−0.0500727	+	0.137574i	−0.962208	−	0.272316i	$-0.912210\pi$
$857$	−1.46586	+	4.02741i	−0.0500727	+	0.137574i	0.912135	+	0.409889i	$0.134433\pi$
$858$	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	$0.518705\pi$
$860$	0.874666	−	21.0981i	0.0298259	−	0.719438i
$861$	−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	$-0.555927\pi$
$863$	17.3470	−	10.0153i	0.590498	−	0.340924i	0.765294	+	0.643681i	$0.222593\pi$
$864$	13.2402	−	4.81904i	0.450441	−	0.163947i
$865$	−7.54302	+	18.3244i	−0.256470	+	0.623047i
$866$	−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
$870$	−0.656615	−	4.90410i	−0.0222613	−	0.166265i
$871$	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	$-0.275928\pi$
$877$	44.8994	−	7.91697i	1.51614	−	0.267337i	0.868916	+	0.494959i	$0.164817\pi$
$878$	21.9320	−	26.1376i	0.740170	−	0.882100i
$879$	11.4449	−	9.60340i	0.386027	−	0.323915i
$880$	−2.03364	+	1.56759i	−0.0685540	+	0.0528433i
$881$	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	$0.0906183\pi$
$883$	12.0368	+	33.0707i	0.405069	+	1.11292i	−0.554680	+	0.832063i	$0.687160\pi$
$884$	−2.50768	+	0.912722i	−0.0843425	+	0.0306982i
$885$	−11.6276	−	2.55096i	−0.390858	−	0.0857496i
$886$	4.06483	−	7.04049i	0.136561	−	0.236530i
$887$	−3.11307	−	0.548919i	−0.104527	−	0.0184309i	0.121140	−	0.992635i	$-0.461345\pi$
$887$	−3.11307	−	0.548919i	−0.104527	−	0.0184309i	−0.225667	+	0.974205i	$0.572456\pi$
$888$	4.49826	+	5.36082i	0.150952	+	0.179897i
$889$	19.2812	+	16.1789i	0.646671	+	0.542622i
$890$	−11.6480	−	7.38465i	−0.390443	−	0.247534i
$891$	−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
$895$	5.66693	+	10.8278i	0.189424	+	0.361935i
$896$	−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
$900$	−11.1423	−	5.13616i	−0.371408	−	0.171205i
$901$	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
$905$	−40.0995	+	12.7404i	−1.33295	+	0.423504i
$906$	−0.226494	+	1.28451i	−0.00752476	+	0.0426751i
$907$	10.2405	+	12.2041i	0.340029	+	0.405230i	0.908778	−	0.417281i	$-0.137017\pi$
$907$	10.2405	+	12.2041i	0.340029	+	0.405230i	−0.568749	+	0.822511i	$0.692572\pi$
$908$	−9.21597	+	10.9832i	−0.305843	+	0.364489i
$909$	−8.37018	−	47.4697i	−0.277621	−	1.57447i
$910$	−3.47339	+	1.81785i	−0.115142	+	0.0602612i
$911$	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
$915$	−9.10565	−	5.77282i	−0.301024	−	0.190844i
$916$	−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	$-0.142429\pi$
$920$	−5.46490	+	24.9098i	−0.180172	+	0.821251i
$921$	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
$925$	1.79231	−	21.5793i	0.0589308	−	0.709521i
$926$	−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
$935$	8.93077	−	1.19575i	0.292067	−	0.0391052i
$936$	−3.86640	+	3.24430i	−0.126377	+	0.106043i
$937$	33.1807	+	5.85065i	1.08397	+	0.191132i	0.686968	−	0.726687i	$-0.258941\pi$
$937$	33.1807	+	5.85065i	1.08397	+	0.191132i	0.396997	+	0.917820i	$0.370052\pi$
$938$	−27.1799	−	15.6923i	−0.887456	−	0.512373i
$939$	0.397018	+	0.687655i	0.0129562	+	0.0224408i
$940$	−2.61320	+	6.34830i	−0.0852333	+	0.207059i
$941$	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
$945$	−18.6033	−	0.771241i	−0.605166	−	0.0250885i
$946$	6.98867	+	5.86419i	0.227221	+	0.190661i
$947$	−32.7904	+	5.78183i	−1.06554	+	0.187884i	−0.678815	−	0.734309i	$-0.737506\pi$
$947$	−32.7904	+	5.78183i	−1.06554	+	0.187884i	−0.386729	+	0.922193i	$0.626395\pi$
$948$	−0.571090	+	1.56906i	−0.0185481	+	0.0509606i
$949$	−4.28402			−0.139065
$950$	−10.3823	+	20.3300i	−0.336847	+	0.659591i
$951$	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	$-0.391633\pi$
$953$	29.9466	−	5.28039i	0.970065	−	0.171049i	0.636159	+	0.771558i	$0.280522\pi$
$954$	29.8022	+	25.0070i	0.964882	+	0.809632i
$955$	−38.5627	−	1.59870i	−1.24786	−	0.0517327i
$956$	−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
$960$	−3.44436	+	8.36744i	−0.111166	+	0.270058i
$961$	−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
$965$	−16.5651	+	2.21791i	−0.533248	+	0.0713971i
$966$	0.993554	+	5.63472i	0.0319671	+	0.181294i
$967$	20.1511	−	55.3648i	0.648017	−	1.78041i	0.0230823	−	0.999734i	$-0.492652\pi$
$967$	20.1511	−	55.3648i	0.648017	−	1.78041i	0.624934	−	0.780677i	$-0.285126\pi$
$968$		−	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
$975$	−1.61757	−	0.134351i	−0.0518037	−	0.00430267i
$976$	6.25450	−	10.8331i	0.200202	−	0.346760i
$977$	31.1276	−	17.9716i	0.995862	−	0.574961i	0.0888405	−	0.996046i	$-0.471684\pi$
$977$	31.1276	−	17.9716i	0.995862	−	0.574961i	0.907021	+	0.421085i	$0.138351\pi$
$978$	−3.05105	−	8.38270i	−0.0975619	−	0.268049i
$979$	−4.60853	+	1.67737i	−0.147289	+	0.0536089i
$980$	−0.220403	+	1.00463i	−0.00704052	+	0.0320917i
$981$	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	$-0.273545\pi$
$983$	−6.47067	−	7.71144i	−0.206382	−	0.245957i	−0.859300	+	0.511472i	$0.829100\pi$
$984$	−6.58159	−	5.52261i	−0.209813	−	0.176054i
$985$	23.0550	+	14.6165i	0.734595	+	0.465720i
$986$	−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
$990$	4.69642	−	2.45795i	0.149262	−	0.0781187i
$991$	−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
$995$	−16.5328	+	5.25277i	−0.524124	+	0.166524i
$996$	−1.19365	−	2.06746i	−0.0378223	−	0.0655101i
$997$	6.40419	+	17.5954i	0.202823	+	0.557251i	0.998847	−	0.0480143i	$-0.0152893\pi$
$997$	6.40419	+	17.5954i	0.202823	+	0.557251i	−0.796024	+	0.605265i	$0.793067\pi$
$998$	−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.4.6	yes	48
3.2	odd	2		855.2.da.b.289.3		48
5.2	odd	4		475.2.l.f.251.6		48
5.3	odd	4		475.2.l.f.251.3		48
5.4	even	2	inner	95.2.p.a.4.3	✓	48
15.14	odd	2		855.2.da.b.289.6		48
19.5	even	9	inner	95.2.p.a.24.3	yes	48
19.9	even	9		1805.2.b.k.1084.16		24
19.10	odd	18		1805.2.b.l.1084.9		24
57.5	odd	18		855.2.da.b.784.6		48
95.9	even	18		1805.2.b.k.1084.9		24
95.24	even	18	inner	95.2.p.a.24.6	yes	48
95.28	odd	36		9025.2.a.cu.1.16		24
95.29	odd	18		1805.2.b.l.1084.16		24
95.43	odd	36		475.2.l.f.176.3		48
95.47	odd	36		9025.2.a.cu.1.9		24
95.48	even	36		9025.2.a.ct.1.9		24
95.62	odd	36		475.2.l.f.176.6		48
95.67	even	36		9025.2.a.ct.1.16		24
285.119	odd	18		855.2.da.b.784.3		48

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

\(f(q)\)	\(=\)	\(q+(0.358233 - 0.984236i) q^{2} +(-0.523379 + 0.0922859i) q^{3} +(0.691698 + 0.580404i) q^{4} +(2.23415 + 0.0926215i) q^{5} +(-0.0966605 + 0.548189i) q^{6} +(-2.37320 - 1.37016i) q^{7} +(2.63320 - 1.52028i) q^{8} +(-2.55367 + 0.929459i) q^{9} +O(q^{10})\)	\(q+(0.358233 - 0.984236i) q^{2} +(-0.523379 + 0.0922859i) q^{3} +(0.691698 + 0.580404i) q^{4} +(2.23415 + 0.0926215i) 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} +(0.891507 - 2.16575i) 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} +(-1.17785 + 0.157704i) 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} +(4.98284 + 0.413861i) 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} +(-0.266728 + 1.21578i) 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} +(-5.17516 - 3.28096i) q^{35} +(-2.30583 - 0.839253i) q^{36} -4.33071i q^{37} +(-1.73279 + 4.22391i) q^{38} -0.324628 q^{39} +(6.02377 - 3.15264i) 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} +(-5.79136 + 1.84003i) 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} +(2.19235 - 4.75604i) 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} +(-0.863535 - 1.64996i) q^{55} -8.33212 q^{56} +(2.29569 - 0.310183i) q^{57} +4.16359i q^{58} +(9.41315 + 3.42610i) q^{59} +(-0.906252 - 0.574547i) 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} +(1.33413 + 0.292692i) 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} +(-5.08316 + 3.91824i) 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} +(-0.409144 - 3.05580i) 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} +(-4.11826 + 10.0046i) 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} +(-0.263636 + 6.35923i) q^{90} +(-1.28227 - 1.07595i) q^{91} +(-3.33544 + 0.588129i) q^{92} +(-1.25906 + 3.45924i) q^{93} +3.56134 q^{94} +(-9.71431 - 0.795079i) 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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