LMFDB - Embedded newform 160.2.z.a.29.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [160,2,Mod(29,160)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(160, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([0, 3, 4]))

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

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

chi := DirichletCharacter("160.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 160 = 2^{5} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	160.z (of order $8$, degree $4$, 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:	$1.27760643234$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			29.20
Character	$\chi$	$=$	160.29
Dual form			160.2.z.a.149.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.31115 - 0.529979i) q^{2} +(-0.763124 + 1.84234i) q^{3} +(1.43825 - 1.38977i) q^{4} +(0.359048 - 2.20705i) q^{5} +(-0.0241693 + 2.82004i) q^{6} +(2.19624 + 2.19624i) q^{7} +(1.14921 - 2.58444i) q^{8} +(-0.690555 - 0.690555i) q^{9} +O(q^{10})$	\(q+(1.31115 - 0.529979i) q^{2} +(-0.763124 + 1.84234i) q^{3} +(1.43825 - 1.38977i) q^{4} +(0.359048 - 2.20705i) q^{5} +(-0.0241693 + 2.82004i) q^{6} +(2.19624 + 2.19624i) q^{7} +(1.14921 - 2.58444i) q^{8} +(-0.690555 - 0.690555i) q^{9} +(-0.698924 - 3.08407i) q^{10} +(-4.14149 + 1.71546i) q^{11} +(1.46287 + 3.71031i) q^{12} +(0.268345 + 0.111152i) q^{13} +(4.04357 + 1.71565i) q^{14} +(3.79215 + 2.34575i) q^{15} +(0.137099 - 3.99765i) q^{16} -3.30238 q^{17} +(-1.27140 - 0.539444i) q^{18} +(2.84584 - 6.87046i) q^{19} +(-2.55089 - 3.67328i) q^{20} +(-5.72223 + 2.37023i) q^{21} +(-4.52098 + 4.44414i) q^{22} +(-4.78351 + 4.78351i) q^{23} +(3.88443 + 4.08949i) q^{24} +(-4.74217 - 1.58488i) q^{25} +(0.410750 + 0.00352035i) q^{26} +(-3.72781 + 1.54411i) q^{27} +(6.21099 + 0.106471i) q^{28} +(-5.16612 - 2.13988i) q^{29} +(6.21529 + 1.06587i) q^{30} +2.03536 q^{31} +(-1.93891 - 5.31419i) q^{32} -8.93917i q^{33} +(-4.32992 + 1.75019i) q^{34} +(5.63577 - 4.05866i) q^{35} +(-1.95290 - 0.0334773i) q^{36} +(0.162114 - 0.0671500i) q^{37} +(0.0901319 - 10.5165i) q^{38} +(-0.409561 + 0.409561i) q^{39} +(-5.29137 - 3.46431i) q^{40} +(5.98352 + 5.98352i) q^{41} +(-6.24656 + 6.14039i) q^{42} +(-0.378206 - 0.913070i) q^{43} +(-3.57239 + 8.22297i) q^{44} +(-1.77203 + 1.27615i) q^{45} +(-3.73675 + 8.80706i) q^{46} +5.69667 q^{47} +(7.26043 + 3.30329i) q^{48} +2.64694i q^{49} +(-7.05766 + 0.435233i) q^{50} +(2.52012 - 6.08411i) q^{51} +(0.540421 - 0.213073i) q^{52} +(1.10924 + 2.67794i) q^{53} +(-4.06939 + 4.00023i) q^{54} +(2.29912 + 9.75643i) q^{55} +(8.19999 - 3.15209i) q^{56} +(10.4860 + 10.4860i) q^{57} +(-7.90766 - 0.0677731i) q^{58} +(-0.616504 - 1.48837i) q^{59} +(8.71409 - 1.89645i) q^{60} +(10.1359 + 4.19843i) q^{61} +(2.66867 - 1.07870i) q^{62} -3.03325i q^{63} +(-5.35862 - 5.94014i) q^{64} +(0.341667 - 0.552343i) q^{65} +(-4.73757 - 11.7206i) q^{66} +(-3.25008 + 7.84638i) q^{67} +(-4.74963 + 4.58953i) q^{68} +(-5.16246 - 12.4633i) q^{69} +(5.23836 - 8.30837i) q^{70} +(-1.34366 + 1.34366i) q^{71} +(-2.57829 + 0.991100i) q^{72} +(6.43600 - 6.43600i) q^{73} +(0.176969 - 0.173961i) q^{74} +(6.53875 - 7.52725i) q^{75} +(-5.45532 - 13.8365i) q^{76} +(-12.8633 - 5.32815i) q^{77} +(-0.319939 + 0.754056i) q^{78} +4.47776i q^{79} +(-8.77380 - 1.73793i) q^{80} -10.9760i q^{81} +(11.0165 + 4.67418i) q^{82} +(3.24712 + 1.34500i) q^{83} +(-4.93591 + 11.3615i) q^{84} +(-1.18571 + 7.28852i) q^{85} +(-0.979794 - 0.996734i) q^{86} +(7.88478 - 7.88478i) q^{87} +(-0.325956 + 12.6749i) q^{88} +(8.43730 - 8.43730i) q^{89} +(-1.64708 + 2.61237i) q^{90} +(0.345233 + 0.833467i) q^{91} +(-0.231899 + 13.5278i) q^{92} +(-1.55323 + 3.74983i) q^{93} +(7.46921 - 3.01912i) q^{94} +(-14.1417 - 8.74774i) q^{95} +(11.2702 + 0.483244i) q^{96} -9.25957i q^{97} +(1.40282 + 3.47055i) q^{98} +(4.04455 + 1.67531i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 8 q^{4} - 4 q^{5} - 8 q^{6} - 8 q^{9}+O(q^{10}) $ 88 * q - 8 * q^4 - 4 * q^5 - 8 * q^6 - 8 * q^9	$ 88 q - 8 q^{4} - 4 q^{5} - 8 q^{6} - 8 q^{9} - 4 q^{10} - 8 q^{11} - 24 q^{14} - 8 q^{16} - 8 q^{19} - 4 q^{20} - 8 q^{21} - 16 q^{24} - 4 q^{25} + 32 q^{26} - 8 q^{29} - 52 q^{30} - 64 q^{31} - 24 q^{34} + 20 q^{35} + 72 q^{36} - 8 q^{39} - 56 q^{40} - 8 q^{41} - 8 q^{44} - 16 q^{45} - 8 q^{46} - 44 q^{50} - 48 q^{51} + 24 q^{54} + 28 q^{55} - 56 q^{56} + 24 q^{59} + 32 q^{60} + 24 q^{61} + 64 q^{64} - 8 q^{65} - 8 q^{66} - 40 q^{69} + 80 q^{70} - 40 q^{71} + 128 q^{74} + 28 q^{75} - 8 q^{76} + 48 q^{80} + 200 q^{84} - 24 q^{85} + 24 q^{86} - 8 q^{89} + 80 q^{90} - 8 q^{91} + 120 q^{94} - 8 q^{95} - 56 q^{96} - 48 q^{99}+O(q^{100}) $ 88 * q - 8 * q^4 - 4 * q^5 - 8 * q^6 - 8 * q^9 - 4 * q^10 - 8 * q^11 - 24 * q^14 - 8 * q^16 - 8 * q^19 - 4 * q^20 - 8 * q^21 - 16 * q^24 - 4 * q^25 + 32 * q^26 - 8 * q^29 - 52 * q^30 - 64 * q^31 - 24 * q^34 + 20 * q^35 + 72 * q^36 - 8 * q^39 - 56 * q^40 - 8 * q^41 - 8 * q^44 - 16 * q^45 - 8 * q^46 - 44 * q^50 - 48 * q^51 + 24 * q^54 + 28 * q^55 - 56 * q^56 + 24 * q^59 + 32 * q^60 + 24 * q^61 + 64 * q^64 - 8 * q^65 - 8 * q^66 - 40 * q^69 + 80 * q^70 - 40 * q^71 + 128 * q^74 + 28 * q^75 - 8 * q^76 + 48 * q^80 + 200 * q^84 - 24 * q^85 + 24 * q^86 - 8 * q^89 + 80 * q^90 - 8 * q^91 + 120 * q^94 - 8 * q^95 - 56 * q^96 - 48 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/160\mathbb{Z}\right)^\times$.

$n$	$31$	$97$	$101$
$\chi(n)$	$1$	$-1$	$e\left(\frac{3}{8}\right)$

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 $

$2$	1.31115	−	0.529979i	0.927125	−	0.374752i
$2$	1.31115	−	0.529979i	0.927125	−	0.374752i
$3$	−0.763124	+	1.84234i	−0.440590	+	1.06368i	0.535152	+	0.844756i	$0.320254\pi$
$3$	−0.763124	+	1.84234i	−0.440590	+	1.06368i	−0.975742	+	0.218923i	$0.929746\pi$
$4$	1.43825	−	1.38977i	0.719123	−	0.694883i
$5$	0.359048	−	2.20705i	0.160571	−	0.987024i
$5$	0.359048	−	2.20705i	0.160571	−	0.987024i
$6$	−0.0241693	+	2.82004i	−0.00986707	+	1.15127i
$7$	2.19624	+	2.19624i	0.830101	+	0.830101i	0.987530	−	0.157429i	$-0.0503207\pi$
$7$	2.19624	+	2.19624i	0.830101	+	0.830101i	−0.157429	+	0.987530i	$0.550321\pi$
$8$	1.14921	−	2.58444i	0.406308	−	0.913736i
$9$	−0.690555	−	0.690555i	−0.230185	−	0.230185i
$10$	−0.698924	−	3.08407i	−0.221019	−	0.975269i
$11$	−4.14149	+	1.71546i	−1.24871	+	0.517232i	−0.906426	−	0.422366i	$-0.861200\pi$
$11$	−4.14149	+	1.71546i	−1.24871	+	0.517232i	−0.342282	+	0.939597i	$0.611200\pi$
$12$	1.46287	+	3.71031i	0.422294	+	1.07107i
$13$	0.268345	+	0.111152i	0.0744255	+	0.0308281i	0.419586	−	0.907716i	$-0.362175\pi$
$13$	0.268345	+	0.111152i	0.0744255	+	0.0308281i	−0.345160	+	0.938544i	$0.612175\pi$
$14$	4.04357	+	1.71565i	1.08069	+	0.458526i
$15$	3.79215	+	2.34575i	0.979130	+	0.605669i
$16$	0.137099	−	3.99765i	0.0342747	−	0.999412i
$17$	−3.30238			−0.800944			−0.400472	−	0.916309i	$-0.631154\pi$
$17$	−3.30238			−0.800944			−0.400472	+	0.916309i	$0.631154\pi$
$18$	−1.27140	−	0.539444i	−0.299672	−	0.127148i
$19$	2.84584	−	6.87046i	0.652880	−	1.57619i	−0.155700	−	0.987804i	$-0.549763\pi$
$19$	2.84584	−	6.87046i	0.652880	−	1.57619i	0.808580	−	0.588387i	$-0.200237\pi$
$20$	−2.55089	−	3.67328i	−0.570396	−	0.821370i
$21$	−5.72223	+	2.37023i	−1.24869	+	0.517226i
$22$	−4.52098	+	4.44414i	−0.963875	+	0.947494i
$23$	−4.78351	+	4.78351i	−0.997430	+	0.997430i	−0.999997	−	0.00256694i	$-0.999183\pi$
$23$	−4.78351	+	4.78351i	−0.997430	+	0.997430i	0.00256694	+	0.999997i	$0.499183\pi$
$24$	3.88443	+	4.08949i	0.792906	+	0.834764i
$25$	−4.74217	−	1.58488i	−0.948434	−	0.316975i
$26$	0.410750	+	0.00352035i	0.0805546	+	0.000690398i
$27$	−3.72781	+	1.54411i	−0.717418	+	0.297164i
$28$	6.21099	+	0.106471i	1.17377	+	0.0201212i
$29$	−5.16612	−	2.13988i	−0.959324	−	0.397365i	−0.152597	−	0.988289i	$-0.548764\pi$
$29$	−5.16612	−	2.13988i	−0.959324	−	0.397365i	−0.806728	+	0.590923i	$0.798764\pi$
$30$	6.21529	+	1.06587i	1.13475	+	0.194601i
$31$	2.03536			0.365561			0.182781	−	0.983154i	$-0.441490\pi$
$31$	2.03536			0.365561			0.182781	+	0.983154i	$0.441490\pi$
$32$	−1.93891	−	5.31419i	−0.342754	−	0.939425i
$33$		−	8.93917i		−	1.55611i
$34$	−4.32992	+	1.75019i	−0.742575	+	0.300155i
$35$	5.63577	−	4.05866i	0.952620	−	0.686039i
$36$	−1.95290	−	0.0334773i	−0.325483	−	0.00557955i
$37$	0.162114	−	0.0671500i	0.0266514	−	0.0110394i	−0.369318	−	0.929303i	$-0.620409\pi$
$37$	0.162114	−	0.0671500i	0.0266514	−	0.0110394i	0.395969	+	0.918264i	$0.370409\pi$
$38$	0.0901319	−	10.5165i	0.0146213	−	1.70599i
$39$	−0.409561	+	0.409561i	−0.0655823	+	0.0655823i
$40$	−5.29137	−	3.46431i	−0.836638	−	0.547756i
$41$	5.98352	+	5.98352i	0.934469	+	0.934469i	0.997981	−	0.0635116i	$-0.0202300\pi$
$41$	5.98352	+	5.98352i	0.934469	+	0.934469i	−0.0635116	+	0.997981i	$0.520230\pi$
$42$	−6.24656	+	6.14039i	−0.963865	+	0.947483i
$43$	−0.378206	−	0.913070i	−0.0576759	−	0.139242i	0.892415	−	0.451216i	$-0.149010\pi$
$43$	−0.378206	−	0.913070i	−0.0576759	−	0.139242i	−0.950091	+	0.311974i	$0.899010\pi$
$44$	−3.57239	+	8.22297i	−0.538558	+	1.23966i
$45$	−1.77203	+	1.27615i	−0.264159	+	0.190237i
$46$	−3.73675	+	8.80706i	−0.550954	+	1.29853i
$47$	5.69667			0.830945			0.415473	−	0.909606i	$-0.363616\pi$
$47$	5.69667			0.830945			0.415473	+	0.909606i	$0.363616\pi$
$48$	7.26043	+	3.30329i	1.04795	+	0.476788i
$49$			2.64694i			0.378134i
$50$	−7.05766	+	0.435233i	−0.998104	+	0.0615512i
$51$	2.52012	−	6.08411i	0.352888	−	0.851946i
$52$	0.540421	−	0.213073i	0.0749430	−	0.0295479i
$53$	1.10924	+	2.67794i	0.152366	+	0.367843i	0.981570	−	0.191102i	$-0.0612062\pi$
$53$	1.10924	+	2.67794i	0.152366	+	0.367843i	−0.829205	+	0.558945i	$0.811206\pi$
$54$	−4.06939	+	4.00023i	−0.553774	+	0.544362i
$55$	2.29912	+	9.75643i	0.310014	+	1.31556i
$56$	8.19999	−	3.15209i	1.09577	−	0.421216i
$57$	10.4860	+	10.4860i	1.38891	+	1.38891i
$58$	−7.90766	−	0.0677731i	−1.03833	−	0.00889904i
$59$	−0.616504	−	1.48837i	−0.0802620	−	0.193770i	0.878654	−	0.477458i	$-0.158442\pi$
$59$	−0.616504	−	1.48837i	−0.0802620	−	0.193770i	−0.958916	+	0.283689i	$0.908442\pi$
$60$	8.71409	−	1.89645i	1.12498	−	0.244831i
$61$	10.1359	+	4.19843i	1.29777	+	0.537554i	0.921292	−	0.388871i	$-0.127135\pi$
$61$	10.1359	+	4.19843i	1.29777	+	0.537554i	0.376478	+	0.926425i	$0.377135\pi$
$62$	2.66867	−	1.07870i	0.338921	−	0.136995i
$63$		−	3.03325i		−	0.382153i
$64$	−5.35862	−	5.94014i	−0.669827	−	0.742517i
$65$	0.341667	−	0.552343i	0.0423786	−	0.0685097i
$66$	−4.73757	−	11.7206i	−0.583155	−	1.44271i
$67$	−3.25008	+	7.84638i	−0.397060	+	0.958588i	0.591300	+	0.806452i	$0.298615\pi$
$67$	−3.25008	+	7.84638i	−0.397060	+	0.958588i	−0.988360	+	0.152136i	$0.951385\pi$
$68$	−4.74963	+	4.58953i	−0.575977	+	0.556562i
$69$	−5.16246	−	12.4633i	−0.621487	−	1.50040i
$70$	5.23836	−	8.30837i	0.626104	−	0.993040i
$71$	−1.34366	+	1.34366i	−0.159463	+	0.159463i	−0.782329	−	0.622866i	$-0.785968\pi$
$71$	−1.34366	+	1.34366i	−0.159463	+	0.159463i	0.622866	+	0.782329i	$0.285968\pi$
$72$	−2.57829	+	0.991100i	−0.303854	+	0.116802i
$73$	6.43600	−	6.43600i	0.753277	−	0.753277i	−0.221812	−	0.975089i	$-0.571197\pi$
$73$	6.43600	−	6.43600i	0.753277	−	0.753277i	0.975089	+	0.221812i	$0.0711971\pi$
$74$	0.176969	−	0.173961i	0.0205722	−	0.0202226i
$75$	6.53875	−	7.52725i	0.755030	−	0.869172i
$76$	−5.45532	−	13.8365i	−0.625768	−	1.58715i
$77$	−12.8633	−	5.32815i	−1.46591	−	0.607199i
$78$	−0.319939	+	0.754056i	−0.0362259	+	0.0853800i
$79$			4.47776i			0.503787i	0.967755	+	0.251894i	$0.0810533\pi$
$79$			4.47776i			0.503787i	−0.967755	+	0.251894i	$0.918947\pi$
$80$	−8.77380	−	1.73793i	−0.980941	−	0.194307i
$81$		−	10.9760i		−	1.21956i
$82$	11.0165	+	4.67418i	1.21656	+	0.516176i
$83$	3.24712	+	1.34500i	0.356418	+	0.147633i	0.553705	−	0.832713i	$-0.313213\pi$
$83$	3.24712	+	1.34500i	0.356418	+	0.147633i	−0.197288	+	0.980346i	$0.563213\pi$
$84$	−4.93591	+	11.3615i	−0.538552	+	1.23965i
$85$	−1.18571	+	7.28852i	−0.128608	+	0.790551i
$86$	−0.979794	−	0.996734i	−0.105654	−	0.107481i
$87$	7.88478	−	7.88478i	0.845337	−	0.845337i
$88$	−0.325956	+	12.6749i	−0.0347470	+	1.35114i
$89$	8.43730	−	8.43730i	0.894352	−	0.894352i	−0.100577	−	0.994929i	$-0.532069\pi$
$89$	8.43730	−	8.43730i	0.894352	−	0.894352i	0.994929	+	0.100577i	$0.0320690\pi$
$90$	−1.64708	+	2.61237i	−0.173617	+	0.275368i
$91$	0.345233	+	0.833467i	0.0361903	+	0.0873711i
$92$	−0.231899	+	13.5278i	−0.0241771	+	1.41037i
$93$	−1.55323	+	3.74983i	−0.161062	+	0.388839i
$94$	7.46921	−	3.01912i	0.770390	−	0.311398i
$95$	−14.1417	−	8.74774i	−1.45091	−	0.897499i
$96$	11.2702	+	0.483244i	1.15026	+	0.0493208i
$97$		−	9.25957i		−	0.940167i	−0.882622	−	0.470084i	$-0.844224\pi$
$97$		−	9.25957i		−	0.940167i	0.882622	−	0.470084i	$-0.155776\pi$
$98$	1.40282	+	3.47055i	0.141706	+	0.350578i
$99$	4.04455	+	1.67531i	0.406493	+	0.168375i
$100$	−9.02301	+	4.31107i	−0.902301	+	0.431107i
$101$	2.39482	+	5.78160i	0.238293	+	0.575291i	0.997106	−	0.0760175i	$-0.0242205\pi$
$101$	2.39482	+	5.78160i	0.238293	+	0.575291i	−0.758813	+	0.651308i	$0.774220\pi$
$102$	0.0798161	−	9.31282i	0.00790297	−	0.922106i
$103$	−1.04741	−	1.04741i	−0.103205	−	0.103205i	0.653619	−	0.756824i	$-0.273250\pi$
$103$	−1.04741	−	1.04741i	−0.103205	−	0.103205i	−0.756824	+	0.653619i	$0.773250\pi$
$104$	0.595651	−	0.565783i	0.0584084	−	0.0554796i
$105$	3.17666	+	13.4803i	0.310010	+	1.31554i
$106$	2.87363	+	2.92331i	0.279112	+	0.283937i
$107$	−2.95457	−	7.13296i	−0.285629	−	0.689570i	0.714318	−	0.699821i	$-0.246737\pi$
$107$	−2.95457	−	7.13296i	−0.285629	−	0.689570i	−0.999947	+	0.0102512i	$0.996737\pi$
$108$	−3.21556	+	7.40160i	−0.309417	+	0.712220i
$109$	−2.79775	+	6.75437i	−0.267976	+	0.646951i	−0.999388	−	0.0349850i	$-0.988862\pi$
$109$	−2.79775	+	6.75437i	−0.267976	+	0.646951i	0.731412	+	0.681936i	$0.238862\pi$
$110$	8.18520	+	11.5737i	0.780429	+	1.10351i
$111$			0.349914i			0.0332124i
$112$	9.08090	−	8.47870i	0.858064	−	0.801162i
$113$	7.42627			0.698604			0.349302	−	0.937010i	$-0.386419\pi$
$113$	7.42627			0.698604			0.349302	+	0.937010i	$0.386419\pi$
$114$	19.3062	+	8.19142i	1.80819	+	0.767196i
$115$	8.83994	+	12.2750i	0.824329	+	1.14465i
$116$	−10.4041	+	4.10203i	−0.965994	+	0.380864i
$117$	−0.108550	−	0.262064i	−0.0100355	−	0.0242278i
$118$	−1.59714	−	1.62475i	−0.147028	−	0.149570i
$119$	−7.25281	−	7.25281i	−0.664864	−	0.664864i
$120$	10.4204	−	7.10482i	0.951250	−	0.648578i
$121$	6.43099	−	6.43099i	0.584636	−	0.584636i
$122$	15.5148	+	0.132971i	1.40464	+	0.0120386i
$123$	−15.5899	+	6.45754i	−1.40569	+	0.582257i
$124$	2.92734	−	2.82867i	0.262883	−	0.254022i
$125$	−5.20057	+	9.89717i	−0.465153	+	0.885230i
$126$	−1.60756	−	3.97705i	−0.143213	−	0.354304i
$127$		−	7.70600i		−	0.683797i	−0.939737	−	0.341898i	$-0.888930\pi$
$127$		−	7.70600i		−	0.683797i	0.939737	−	0.341898i	$-0.111070\pi$
$128$	−10.1741	−	4.94848i	−0.899273	−	0.437388i
$129$	1.97081			0.173520
$130$	0.155248	−	0.905282i	0.0136162	−	0.0793985i
$131$	−15.8220	−	6.55368i	−1.38237	−	0.572597i	−0.437258	−	0.899336i	$-0.644050\pi$
$131$	−15.8220	−	6.55368i	−1.38237	−	0.572597i	−0.945115	+	0.326739i	$0.894050\pi$
$132$	−12.4234	−	12.8567i	−1.08131	−	1.11903i
$133$	21.3393	−	8.83904i	1.85035	−	0.766442i
$134$	−0.102935	+	12.0103i	−0.00889221	+	1.03753i
$135$	2.06947	+	8.78190i	0.178112	+	0.755825i
$136$	−3.79513	+	8.53478i	−0.325430	+	0.731851i
$137$	−11.8486	+	11.8486i	−1.01229	+	1.01229i	−0.0123672	+	0.999924i	$0.503937\pi$
$137$	−11.8486	+	11.8486i	−1.01229	+	1.01229i	−0.999924	+	0.0123672i	$0.996063\pi$
$138$	−13.3740	−	13.6053i	−1.13847	−	1.15816i
$139$	−9.11782	+	3.77673i	−0.773364	+	0.320338i	−0.734234	−	0.678896i	$-0.762459\pi$
$139$	−9.11782	+	3.77673i	−0.773364	+	0.320338i	−0.0391295	+	0.999234i	$0.512459\pi$
$140$	2.46503	−	13.6698i	0.208333	−	1.15531i
$141$	−4.34727	+	10.4952i	−0.366106	+	0.883858i
$142$	−1.04963	+	2.47386i	−0.0880833	+	0.207602i
$143$	−1.30203			−0.108881
$144$	−2.85527	+	2.66592i	−0.237939	+	0.222160i
$145$	−6.57771	+	10.6336i	−0.546249	+	0.883071i
$146$	5.02764	−	11.8495i	0.416091	−	0.980674i
$147$	−4.87658	−	2.01994i	−0.402213	−	0.166602i
$148$	0.139837	−	0.321879i	0.0114946	−	0.0264583i
$149$	20.3451	−	8.42722i	1.66674	−	0.690385i	0.668175	−	0.744004i	$-0.267076\pi$
$149$	20.3451	−	8.42722i	1.66674	−	0.690385i	0.998561	+	0.0536191i	$0.0170757\pi$
$150$	4.58402	−	13.3348i	0.374284	−	1.08878i
$151$	11.8423	+	11.8423i	0.963713	+	0.963713i	0.999364	−	0.0356515i	$-0.0113506\pi$
$151$	11.8423	+	11.8423i	0.963713	+	0.963713i	−0.0356515	+	0.999364i	$0.511351\pi$
$152$	−14.4858	−	15.2505i	−1.17495	−	1.23698i
$153$	2.28047	+	2.28047i	0.184365	+	0.184365i
$154$	−19.6895	−	0.168750i	−1.58663	−	0.0135983i
$155$	0.730791	−	4.49214i	0.0586986	−	0.360818i
$156$	−0.0198550	+	1.15824i	−0.00158968	+	0.0927337i
$157$	−5.98504	+	14.4492i	−0.477659	+	1.15317i	0.483046	+	0.875595i	$0.339531\pi$
$157$	−5.98504	+	14.4492i	−0.477659	+	1.15317i	−0.960704	+	0.277575i	$0.910469\pi$
$158$	2.37312	+	5.87103i	0.188795	+	0.467074i
$159$	−5.78017			−0.458397
$160$	−12.4249	+	2.37123i	−0.982272	+	0.187462i
$161$	−21.0115			−1.65593
$162$	−5.81707	−	14.3913i	−0.457032	−	1.13069i
$163$	0.263524	−	0.636202i	0.0206408	−	0.0498312i	−0.913223	−	0.407460i	$-0.866415\pi$
$163$	0.263524	−	0.636202i	0.0206408	−	0.0498312i	0.933864	+	0.357629i	$0.116415\pi$
$164$	16.9215	+	0.290074i	1.32135	+	0.0226510i
$165$	−19.7292	−	3.20959i	−1.53592	−	0.249866i
$166$	4.97029	+	0.0425982i	0.385770	+	0.00330626i
$167$	−7.94206	−	7.94206i	−0.614575	−	0.614575i	0.329560	−	0.944135i	$-0.393100\pi$
$167$	−7.94206	−	7.94206i	−0.614575	−	0.614575i	−0.944135	+	0.329560i	$0.893100\pi$
$168$	−0.450368	+	17.5126i	−0.0347466	+	1.35113i
$169$	−9.13273	−	9.13273i	−0.702518	−	0.702518i
$170$	2.30811	+	10.1848i	0.177024	+	0.781136i
$171$	−6.70964	+	2.77922i	−0.513099	+	0.212532i
$172$	−1.81291	−	0.787601i	−0.138233	−	0.0600540i
$173$	4.08742	+	1.69306i	0.310760	+	0.128721i	0.532613	−	0.846359i	$-0.321210\pi$
$173$	4.08742	+	1.69306i	0.310760	+	0.128721i	−0.221852	+	0.975080i	$0.571210\pi$
$174$	6.15939	−	14.5169i	0.466942	−	1.10052i
$175$	−6.93417	−	13.8957i	−0.524174	−	1.05042i
$176$	6.29003	+	16.7914i	0.474129	+	1.26570i
$177$	3.21256			0.241471
$178$	6.59100	−	15.5342i	0.494016	−	1.16434i
$179$	6.16930	−	14.8940i	0.461115	−	1.11323i	−0.506825	−	0.862049i	$-0.669181\pi$
$179$	6.16930	−	14.8940i	0.461115	−	1.11323i	0.967940	−	0.251181i	$-0.0808190\pi$
$180$	−0.775070	+	4.29813i	−0.0577703	+	0.320364i
$181$	1.52652	−	0.632303i	0.113465	−	0.0469987i	−0.325229	−	0.945635i	$-0.605441\pi$
$181$	1.52652	−	0.632303i	0.113465	−	0.0469987i	0.438694	+	0.898637i	$0.355441\pi$
$182$	0.894373	+	0.909836i	0.0662954	+	0.0674416i
$183$	−15.4699	+	15.4699i	−1.14357	+	1.14357i
$184$	6.86539	+	17.8599i	0.506124	+	1.31665i
$185$	−0.0899967	−	0.381905i	−0.00661669	−	0.0280782i
$186$	−0.0491931	+	5.73978i	−0.00360702	+	0.420861i
$187$	13.6768	−	5.66510i	1.00014	−	0.414273i
$188$	8.19321	−	7.91705i	0.597552	−	0.577410i
$189$	−11.5784	−	4.79594i	−0.842206	−	0.348853i
$190$	−23.1780	−	3.97484i	−1.68151	−	0.288365i
$191$	9.40246			0.680338			0.340169	−	0.940364i	$-0.389516\pi$
$191$	9.40246			0.680338			0.340169	+	0.940364i	$0.389516\pi$
$192$	15.0331	−	5.33936i	1.08492	−	0.385335i
$193$			8.65123i			0.622729i	0.950291	+	0.311364i	$0.100786\pi$
$193$			8.65123i			0.622729i	−0.950291	+	0.311364i	$0.899214\pi$
$194$	−4.90738	−	12.1407i	−0.352329	−	0.871653i
$195$	0.756871	+	1.05098i	0.0542007	+	0.0752619i
$196$	3.67863	+	3.80695i	0.262759	+	0.271925i
$197$	22.4479	−	9.29823i	1.59935	−	0.662471i	0.608024	−	0.793919i	$-0.291962\pi$
$197$	22.4479	−	9.29823i	1.59935	−	0.662471i	0.991323	+	0.131448i	$0.0419625\pi$
$198$	6.19090	+	0.0530595i	0.439968	+	0.00377078i
$199$	−3.50777	+	3.50777i	−0.248659	+	0.248659i	−0.820420	−	0.571761i	$-0.806260\pi$
$199$	−3.50777	+	3.50777i	−0.248659	+	0.248659i	0.571761	+	0.820420i	$0.306260\pi$
$200$	−9.54578	+	10.4345i	−0.674988	+	0.737828i
$201$	−11.9755	−	11.9755i	−0.844688	−	0.844688i
$202$	6.20410	+	6.31136i	0.436519	+	0.444066i
$203$	−6.64635	−	16.0457i	−0.466483	−	1.12619i
$204$	−4.83094	−	12.2528i	−0.338234	−	0.857870i
$205$	15.3543	−	11.0576i	1.07239	−	0.772295i
$206$	−1.92842	−	0.818212i	−0.134360	−	0.0570075i
$207$	6.60655			0.459187
$208$	0.481137	−	1.05751i	0.0333609	−	0.0733252i
$209$			33.3359i			2.30589i
$210$	11.3094	+	15.9912i	0.780420	+	1.10350i
$211$	−10.9070	+	26.3318i	−0.750868	+	1.81276i	−0.196459	+	0.980512i	$0.562944\pi$
$211$	−10.9070	+	26.3318i	−0.750868	+	1.81276i	−0.554410	+	0.832244i	$0.687056\pi$
$212$	5.31706	+	2.30995i	0.365177	+	0.158648i
$213$	−1.45011	−	3.50087i	−0.0993597	−	0.239876i
$214$	−7.65421	−	7.78655i	−0.523231	−	0.532278i
$215$	−2.15099	+	0.506885i	−0.146696	+	0.0345693i
$216$	−0.293397	+	11.4088i	−0.0199631	+	0.776271i
$217$	4.47013	+	4.47013i	0.303452	+	0.303452i
$218$	−0.0886089	+	10.3388i	−0.00600135	+	0.700229i
$219$	6.94587	+	16.7688i	0.469358	+	1.13313i
$220$	16.8659	+	10.8369i	1.13710	+	0.730624i
$221$	−0.886176	−	0.367066i	−0.0596106	−	0.0246915i
$222$	0.185447	+	0.458791i	0.0124464	+	0.0307921i
$223$			6.84319i			0.458254i	0.973397	+	0.229127i	$0.0735871\pi$
$223$			6.84319i			0.458254i	−0.973397	+	0.229127i	$0.926413\pi$
$224$	7.41292	−	15.9296i	0.495297	−	1.06434i
$225$	2.18028	+	4.36917i	0.145352	+	0.291278i
$226$	9.73697	−	3.93576i	0.647694	−	0.261803i
$227$	4.96859	−	11.9952i	0.329777	−	0.796152i	−0.668831	−	0.743414i	$-0.733205\pi$
$227$	4.96859	−	11.9952i	0.329777	−	0.796152i	0.998608	−	0.0527380i	$-0.0167948\pi$
$228$	29.6546	+	0.508350i	1.96392	+	0.0336663i
$229$	8.48021	+	20.4730i	0.560388	+	1.35290i	0.909456	+	0.415799i	$0.136498\pi$
$229$	8.48021	+	20.4730i	0.560388	+	1.35290i	−0.349068	+	0.937097i	$0.613502\pi$
$230$	18.0960	+	11.4094i	1.19321	+	0.752312i
$231$	19.6326	−	19.6326i	1.29173	−	1.29173i
$232$	−11.4673	+	10.8923i	−0.752868	+	0.715116i
$233$	−13.9784	+	13.9784i	−0.915752	+	0.915752i	−0.996717	−	0.0809647i	$-0.974200\pi$
$233$	−13.9784	+	13.9784i	−0.915752	+	0.915752i	0.0809647	+	0.996717i	$0.474200\pi$
$234$	−0.281214	−	0.286076i	−0.0183835	−	0.0187014i
$235$	2.04538	−	12.5729i	0.133426	−	0.820163i
$236$	−2.95517	−	1.28385i	−0.192365	−	0.0835714i
$237$	−8.24957	−	3.41708i	−0.535867	−	0.221963i
$238$	−13.3534	−	5.66571i	−0.865571	−	0.367253i
$239$		−	14.1343i		−	0.914274i	−0.889396	−	0.457137i	$-0.848875\pi$
$239$		−	14.1343i		−	0.914274i	0.889396	−	0.457137i	$-0.151125\pi$
$240$	9.89737	−	14.8381i	0.638873	−	0.957796i
$241$		−	14.2293i		−	0.916587i	−0.888801	−	0.458293i	$-0.848461\pi$
$241$		−	14.2293i		−	0.916587i	0.888801	−	0.458293i	$-0.151539\pi$
$242$	5.02373	−	11.8403i	0.322937	−	0.761123i
$243$	9.03821	+	3.74375i	0.579802	+	0.240162i
$244$	20.4128	−	8.04817i	1.30679	−	0.515231i
$245$	5.84194	+	0.950379i	0.373228	+	0.0607175i
$246$	−17.0184	+	16.7291i	−1.08505	+	1.06661i
$247$	1.52733	−	1.52733i	0.0971818	−	0.0971818i
$248$	2.33906	−	5.26025i	0.148530	−	0.334026i
$249$	−4.95591	+	4.95591i	−0.314068	+	0.314068i
$250$	−1.57346	+	15.7329i	−0.0995142	+	0.995036i
$251$	2.41343	+	5.82653i	0.152334	+	0.367767i	0.981562	−	0.191143i	$-0.0612195\pi$
$251$	2.41343	+	5.82653i	0.152334	+	0.367767i	−0.829228	+	0.558910i	$0.811220\pi$
$252$	−4.21551	−	4.36256i	−0.265552	−	0.274815i
$253$	11.6049	−	28.0168i	0.729596	−	1.76140i
$254$	−4.08401	−	10.1037i	−0.256254	−	0.633965i
$255$	−12.5231	−	7.74653i	−0.784228	−	0.485107i
$256$	−15.9624	−	1.09615i	−0.997650	−	0.0685091i
$257$		−	2.99567i		−	0.186865i	−0.995626	−	0.0934323i	$-0.970216\pi$
$257$		−	2.99567i		−	0.186865i	0.995626	−	0.0934323i	$-0.0297839\pi$
$258$	2.58403	−	1.04449i	0.160875	−	0.0650269i
$259$	0.503520	+	0.208565i	0.0312872	+	0.0129596i
$260$	−0.276226	−	1.26924i	−0.0171308	−	0.0787151i
$261$	2.08979	+	5.04519i	0.129355	+	0.312289i
$262$	−24.2183	−	0.207565i	−1.49621	−	0.0128234i
$263$	10.2113	+	10.2113i	0.629656	+	0.629656i	0.947981	−	0.318326i	$-0.103121\pi$
$263$	10.2113	+	10.2113i	0.629656	+	0.629656i	−0.318326	+	0.947981i	$0.603121\pi$
$264$	−23.1027	−	10.2730i	−1.42187	−	0.632260i
$265$	6.30862	−	1.48664i	0.387535	−	0.0913235i
$266$	23.2946	−	22.8987i	1.42828	−	1.40401i
$267$	9.10570	+	21.9831i	0.557260	+	1.34534i
$268$	6.23023	+	15.8019i	0.380572	+	0.965252i
$269$	0.681031	−	1.64415i	0.0415232	−	0.100246i	−0.901757	−	0.432243i	$-0.857722\pi$
$269$	0.681031	−	1.64415i	0.0415232	−	0.100246i	0.943280	+	0.331997i	$0.107722\pi$
$270$	7.36761	+	10.4176i	0.448379	+	0.633997i
$271$		−	22.6158i		−	1.37381i	−0.726747	−	0.686905i	$-0.758969\pi$
$271$		−	22.6158i		−	1.37381i	0.726747	−	0.686905i	$-0.241031\pi$
$272$	−0.452752	+	13.2017i	−0.0274521	+	0.800473i
$273$	−1.79899			−0.108880
$274$	−9.25579	+	21.8148i	−0.559163	+	1.31788i
$275$	22.3585	−	1.57126i	1.34827	−	0.0947505i
$276$	−24.7459	−	10.7506i	−1.48953	−	0.647112i
$277$	−11.3092	−	27.3027i	−0.679501	−	1.64046i	−0.764927	−	0.644117i	$-0.777225\pi$
$277$	−11.3092	−	27.3027i	−0.679501	−	1.64046i	0.0854261	−	0.996345i	$-0.472775\pi$
$278$	−9.95328	+	9.78412i	−0.596958	+	0.586812i
$279$	−1.40553	−	1.40553i	−0.0841466	−	0.0841466i
$280$	−4.01265	−	19.2296i	−0.239802	−	1.14919i
$281$	−2.27822	+	2.27822i	−0.135907	+	0.135907i	−0.771788	−	0.635880i	$-0.780637\pi$
$281$	−2.27822	+	2.27822i	−0.135907	+	0.135907i	0.635880	+	0.771788i	$0.280637\pi$
$282$	−0.137685	+	16.0648i	−0.00819899	+	0.956646i
$283$	−3.55566	+	1.47280i	−0.211362	+	0.0875489i	−0.485852	−	0.874041i	$-0.661491\pi$
$283$	−3.55566	+	1.47280i	−0.211362	+	0.0875489i	0.274491	+	0.961590i	$0.411491\pi$
$284$	−0.0651392	+	3.79989i	−0.00386530	+	0.225482i
$285$	26.9082	−	19.3782i	1.59390	−	1.14787i
$286$	−1.70716	+	0.690046i	−0.100946	+	0.0408033i
$287$			26.2825i			1.55141i
$288$	−2.33082	+	5.00867i	−0.137345	+	0.295138i
$289$	−6.09432			−0.358489
$290$	−2.98881	+	17.4283i	−0.175509	+	1.02342i
$291$	17.0593	+	7.06620i	1.00004	+	0.414228i
$292$	0.312010	−	18.2011i	0.0182590	−	1.06514i
$293$	−24.5889	+	10.1851i	−1.43650	+	0.595018i	−0.958947	−	0.283586i	$-0.908476\pi$
$293$	−24.5889	+	10.1851i	−1.43650	+	0.595018i	−0.477552	+	0.878603i	$0.658476\pi$
$294$	−7.46447	−	0.0639747i	−0.435337	−	0.00373108i
$295$	−3.50627	+	0.826260i	−0.204143	+	0.0481067i
$296$	0.0127592	−	0.496144i	0.000741613	−	0.0288378i
$297$	12.7899	−	12.7899i	0.742143	−	0.742143i
$298$	22.2093	−	21.8319i	1.28655	−	1.26469i
$299$	−1.81533	+	0.751933i	−0.104983	+	0.0434854i
$300$	−1.05679	−	19.9134i	−0.0610140	−	1.14970i
$301$	1.17469	−	2.83595i	0.0677080	−	0.163462i
$302$	21.8032	+	9.25090i	1.25464	+	0.532330i
$303$	−12.4792			−0.716914
$304$	−27.0755	−	12.3186i	−1.55289	−	0.706520i
$305$	12.9054	−	20.8631i	0.738963	−	1.19462i
$306$	4.19865	+	1.78145i	0.240021	+	0.101839i
$307$	−10.1389	−	4.19968i	−0.578659	−	0.239688i	0.0741043	−	0.997250i	$-0.476390\pi$
$307$	−10.1389	−	4.19968i	−0.578659	−	0.239688i	−0.652763	+	0.757562i	$0.726390\pi$
$308$	−25.9054	+	10.2138i	−1.47610	+	0.581984i
$309$	2.72900	−	1.13039i	0.155247	−	0.0643056i
$310$	−1.42256	−	6.27719i	−0.0807960	−	0.356520i
$311$	12.0596	+	12.0596i	0.683836	+	0.683836i	0.960862	−	0.277026i	$-0.0893489\pi$
$311$	12.0596	+	12.0596i	0.683836	+	0.683836i	−0.277026	+	0.960862i	$0.589349\pi$
$312$	0.587811	+	1.52916i	0.0332783	+	0.0865715i
$313$	−7.80525	−	7.80525i	−0.441179	−	0.441179i	0.451229	−	0.892408i	$-0.350986\pi$
$313$	−7.80525	−	7.80525i	−0.441179	−	0.441179i	−0.892408	+	0.451229i	$0.850986\pi$
$314$	−0.189555	+	22.1170i	−0.0106972	+	1.24814i
$315$	−6.69454	−	1.08908i	−0.377195	−	0.0613628i
$316$	6.22304	+	6.44011i	0.350073	+	0.362285i
$317$	−8.55491	+	20.6534i	−0.480492	+	1.16001i	0.478884	+	0.877878i	$0.341041\pi$
$317$	−8.55491	+	20.6534i	−0.480492	+	1.16001i	−0.959376	+	0.282132i	$0.908959\pi$
$318$	−7.57869	+	3.06337i	−0.424992	+	0.171785i
$319$	25.0663			1.40345
$320$	−15.0342	+	9.69396i	−0.840437	+	0.541909i
$321$	15.3961			0.859326
$322$	−27.5492	+	11.1356i	−1.53526	+	0.620564i
$323$	−9.39802	+	22.6888i	−0.522920	+	1.26244i
$324$	−15.2541	−	15.7862i	−0.847452	−	0.877014i
$325$	−1.09637	−	0.952396i	−0.0608159	−	0.0528294i
$326$	0.00834619	−	0.973821i	0.000462253	−	0.0539349i
$327$	−10.3088	−	10.3088i	−0.570080	−	0.570080i
$328$	22.3404	−	8.58769i	1.23354	−	0.474176i
$329$	12.5113	+	12.5113i	0.689768	+	0.689768i
$330$	−27.5691	+	6.24780i	−1.51763	+	0.343930i
$331$	−8.03889	+	3.32982i	−0.441858	+	0.183023i	−0.592509	−	0.805563i	$-0.701863\pi$
$331$	−8.03889	+	3.32982i	−0.441858	+	0.183023i	0.150652	+	0.988587i	$0.451863\pi$
$332$	6.53939	−	2.57830i	0.358896	−	0.141502i
$333$	−0.158320	−	0.0655781i	−0.00867586	−	0.00359366i
$334$	−14.6224	−	6.20413i	−0.800101	−	0.339475i
$335$	16.1504	+	9.99032i	0.882393	+	0.545829i
$336$	8.69083	+	23.2004i	0.474124	+	1.26569i
$337$	−28.3328			−1.54339			−0.771693	−	0.635995i	$-0.780590\pi$
$337$	−28.3328			−1.54339			−0.771693	+	0.635995i	$0.780590\pi$
$338$	−16.8146	−	7.13426i	−0.914592	−	0.388053i
$339$	−5.66716	+	13.6817i	−0.307798	+	0.743090i
$340$	8.42400	+	12.1305i	0.456855	+	0.657871i
$341$	−8.42942	+	3.49158i	−0.456479	+	0.189080i
$342$	−7.32443	+	7.19995i	−0.396060	+	0.389329i
$343$	9.56036	−	9.56036i	0.516211	−	0.516211i
$344$	−2.79441	−	0.0718631i	−0.150665	−	0.00387460i
$345$	−29.3607	+	6.91890i	−1.58073	+	0.372501i
$346$	6.25652	+	0.0536218i	0.336352	+	0.00288273i
$347$	18.5291	−	7.67499i	0.994692	−	0.412015i	0.174844	−	0.984596i	$-0.444058\pi$
$347$	18.5291	−	7.67499i	0.994692	−	0.412015i	0.819848	+	0.572581i	$0.194058\pi$
$348$	0.382245	−	22.2982i	0.0204905	−	1.19531i
$349$	14.8925	+	6.16867i	0.797177	+	0.330201i	0.743825	−	0.668374i	$-0.233010\pi$
$349$	14.8925	+	6.16867i	0.797177	+	0.330201i	0.0533516	+	0.998576i	$0.483010\pi$
$350$	−16.4562	−	14.5444i	−0.879620	−	0.777433i
$351$	−1.17197			−0.0625552
$352$	17.1463	+	18.6826i	0.913900	+	0.995784i
$353$		−	3.02077i		−	0.160779i	−0.996764	−	0.0803896i	$-0.974384\pi$
$353$		−	3.02077i		−	0.160779i	0.996764	−	0.0803896i	$-0.0256165\pi$
$354$	4.21216	−	1.70259i	0.223874	−	0.0904916i
$355$	2.48309	+	3.44797i	0.131789	+	0.182999i
$356$	0.409030	−	23.8608i	0.0216786	−	1.26462i
$357$	18.8970	−	7.82738i	1.00013	−	0.414269i
$358$	0.195391	−	22.7979i	0.0103267	−	1.20491i
$359$	−6.88961	+	6.88961i	−0.363619	+	0.363619i	−0.865144	−	0.501524i	$-0.832773\pi$
$359$	−6.88961	+	6.88961i	−0.363619	+	0.363619i	0.501524	+	0.865144i	$0.332773\pi$
$360$	1.26168	+	6.04628i	0.0664964	+	0.318667i
$361$	−25.6694	−	25.6694i	−1.35102	−	1.35102i
$362$	1.66639	−	1.63807i	0.0875834	−	0.0860949i
$363$	6.94046	+	16.7557i	0.364280	+	0.879449i
$364$	1.65485	+	0.718936i	0.0867379	+	0.0376825i
$365$	−11.8938	−	16.5154i	−0.622548	−	0.864458i
$366$	−12.0847	+	28.4822i	−0.631678	+	1.48879i
$367$	−25.6538			−1.33912			−0.669559	−	0.742759i	$-0.733517\pi$
$367$	−25.6538			−1.33912			−0.669559	+	0.742759i	$0.733517\pi$
$368$	18.4670	+	19.7786i	0.962657	+	1.03103i
$369$		−	8.26390i		−	0.430202i
$370$	−0.320401	−	0.453040i	−0.0166569	−	0.0235524i
$371$	−3.44524	+	8.31754i	−0.178868	+	0.431825i
$372$	2.97746	+	7.55180i	0.154374	+	0.391543i
$373$	−0.623416	−	1.50506i	−0.0322792	−	0.0779290i	0.906918	−	0.421307i	$-0.138429\pi$
$373$	−0.623416	−	1.50506i	−0.0322792	−	0.0779290i	−0.939197	+	0.343378i	$0.888429\pi$
$374$	14.9300	−	14.6762i	0.772010	−	0.758889i
$375$	−14.2653	−	17.1340i	−0.736658	−	0.884797i
$376$	6.54669	−	14.7227i	0.337620	−	0.759265i
$377$	−1.14845	−	1.14845i	−0.0591482	−	0.0591482i
$378$	−17.7228	−	0.151894i	−0.911564	−	0.00781261i
$379$	5.07272	+	12.2466i	0.260568	+	0.629067i	0.998974	−	0.0452898i	$-0.0144211\pi$
$379$	5.07272	+	12.2466i	0.260568	+	0.629067i	−0.738406	+	0.674356i	$0.764421\pi$
$380$	−32.4965	+	7.07223i	−1.66704	+	0.362798i
$381$	14.1971	+	5.88063i	0.727340	+	0.301274i
$382$	12.3281	−	4.98310i	0.630759	−	0.254958i
$383$		−	28.3477i		−	1.44850i	−0.689537	−	0.724251i	$-0.742186\pi$
$383$		−	28.3477i		−	1.44850i	0.689537	−	0.724251i	$-0.257814\pi$
$384$	16.8809	−	14.9679i	0.861450	−	0.763829i
$385$	−16.3780	+	26.4769i	−0.834702	+	1.34939i
$386$	4.58497	+	11.3431i	0.233369	+	0.577348i
$387$	−0.369353	+	0.891697i	−0.0187753	+	0.0453275i
$388$	−12.8686	−	13.3175i	−0.653306	−	0.676095i
$389$	−3.35864	−	8.10846i	−0.170290	−	0.411115i	0.815577	−	0.578649i	$-0.196420\pi$
$389$	−3.35864	−	8.10846i	−0.170290	−	0.411115i	−0.985866	+	0.167533i	$0.946420\pi$
$390$	1.54937	+	0.976864i	0.0784553	+	0.0494654i
$391$	15.7969	−	15.7969i	0.798885	−	0.798885i
$392$	6.84085	+	3.04190i	0.345515	+	0.153639i
$393$	24.1483	−	24.1483i	1.21812	−	1.21812i
$394$	24.5048	−	24.0883i	1.23453	−	1.21355i
$395$	9.88265	+	1.60773i	0.497250	+	0.0808937i
$396$	8.14534	−	3.21148i	0.409319	−	0.161383i
$397$	8.93921	+	3.70274i	0.448646	+	0.185835i	0.595555	−	0.803315i	$-0.296932\pi$
$397$	8.93921	+	3.70274i	0.448646	+	0.185835i	−0.146909	+	0.989150i	$0.546932\pi$
$398$	−2.74018	+	6.45827i	−0.137353	+	0.323724i
$399$			46.0597i			2.30587i
$400$	−6.98593	+	18.7402i	−0.349296	+	0.937012i
$401$		−	16.0328i		−	0.800638i	−0.916376	−	0.400319i	$-0.868899\pi$
$401$		−	16.0328i		−	0.800638i	0.916376	−	0.400319i	$-0.131101\pi$
$402$	−22.0485	−	9.35497i	−1.09968	−	0.466584i
$403$	0.546178	+	0.226234i	0.0272071	+	0.0112695i
$404$	11.4794	+	4.98712i	0.571122	+	0.248119i
$405$	−24.2247	−	3.94093i	−1.20374	−	0.195826i
$406$	−17.2183	−	17.5160i	−0.854529	−	0.869303i
$407$	−0.556203	+	0.556203i	−0.0275699	+	0.0275699i
$408$	−12.8278	−	13.5050i	−0.635073	−	0.668599i
$409$	−8.75033	+	8.75033i	−0.432676	+	0.432676i	−0.889538	−	0.456862i	$-0.848973\pi$
$409$	−8.75033	+	8.75033i	−0.432676	+	0.432676i	0.456862	+	0.889538i	$0.348973\pi$
$410$	14.2716	−	22.6357i	0.704824	−	1.11790i
$411$	−12.7872	−	30.8710i	−0.630746	−	1.52276i
$412$	−2.96209	−	0.0507773i	−0.145932	−	0.00250162i
$413$	1.91483	−	4.62281i	0.0942227	−	0.227474i
$414$	8.66219	−	3.50133i	0.425724	−	0.172081i
$415$	4.13436	−	6.68365i	0.202948	−	0.328087i
$416$	0.0703864	−	1.64155i	0.00345098	−	0.0804836i
$417$		−	19.6803i		−	0.963747i
$418$	17.6673	+	43.7085i	0.864137	+	2.13785i
$419$	22.9012	+	9.48601i	1.11880	+	0.463422i	0.863959	−	0.503562i	$-0.167977\pi$
$419$	22.9012	+	9.48601i	1.11880	+	0.463422i	0.254840	+	0.966983i	$0.417977\pi$
$420$	23.3033	+	14.9732i	1.13708	+	0.730616i
$421$	5.86797	+	14.1665i	0.285987	+	0.690435i	0.999953	−	0.00974665i	$-0.00310250\pi$
$421$	5.86797	+	14.1665i	0.285987	+	0.690435i	−0.713965	+	0.700181i	$0.753103\pi$
$422$	−0.345441	+	40.3055i	−0.0168158	+	1.96204i
$423$	−3.93387	−	3.93387i	−0.191271	−	0.191271i
$424$	8.19571	+	0.210767i	0.398019	+	0.0102357i
$425$	15.6604	+	5.23386i	0.759642	+	0.253879i
$426$	−3.75670	−	3.82165i	−0.182013	−	0.185159i
$427$	13.0401	+	31.4817i	0.631056	+	1.52350i
$428$	−14.1626	−	6.15279i	−0.684573	−	0.297406i
$429$	0.993608	−	2.39878i	0.0479718	−	0.115814i
$430$	−2.55164	+	1.80458i	−0.123051	+	0.0870247i
$431$		−	2.69295i		−	0.129715i	−0.997895	−	0.0648574i	$-0.979341\pi$
$431$		−	2.69295i		−	0.129715i	0.997895	−	0.0648574i	$-0.0206592\pi$
$432$	5.66174	+	15.1142i	0.272400	+	0.727182i
$433$	14.0835			0.676811			0.338406	−	0.941000i	$-0.390112\pi$
$433$	14.0835			0.676811			0.338406	+	0.941000i	$0.390112\pi$
$434$	8.23011	+	3.49195i	0.395058	+	0.167619i
$435$	−14.5711	−	20.2331i	−0.698631	−	0.970105i
$436$	5.36314	+	13.6027i	0.256848	+	0.651449i
$437$	19.2518	+	46.4780i	0.920938	+	2.22334i
$438$	17.9942	+	18.3053i	0.859797	+	0.874662i
$439$	−18.1230	−	18.1230i	−0.864964	−	0.864964i	0.126946	−	0.991910i	$-0.459483\pi$
$439$	−18.1230	−	18.1230i	−0.864964	−	0.864964i	−0.991910	+	0.126946i	$0.959483\pi$
$440$	27.8571	+	5.27029i	1.32803	+	0.251251i
$441$	1.82786	−	1.82786i	0.0870409	−	0.0870409i
$442$	−1.35645	−	0.0116255i	−0.0645197	−	0.000552970i
$443$	14.1631	−	5.86655i	0.672910	−	0.278728i	−0.0199497	−	0.999801i	$-0.506351\pi$
$443$	14.1631	−	5.86655i	0.672910	−	0.278728i	0.692860	+	0.721073i	$0.256351\pi$
$444$	0.486299	+	0.503263i	0.0230787	+	0.0238838i
$445$	−15.5922	−	21.6510i	−0.739140	−	1.02635i
$446$	3.62674	+	8.97247i	0.171731	+	0.424859i
$447$			43.9137i			2.07705i
$448$	1.27715	−	24.8148i	0.0603398	−	1.17239i
$449$	2.38592			0.112599			0.0562993	−	0.998414i	$-0.482070\pi$
$449$	2.38592			0.112599			0.0562993	+	0.998414i	$0.482070\pi$
$450$	5.17425	+	4.57315i	0.243917	+	0.215580i
$451$	−35.0453	−	14.5162i	−1.65022	−	0.683542i
$452$	10.6808	−	10.3208i	0.502382	−	0.485448i
$453$	−30.8547	+	12.7805i	−1.44968	+	0.600478i
$454$	0.157363	−	18.3608i	0.00738540	−	0.861717i
$455$	1.96346	−	0.462694i	0.0920485	−	0.0216914i
$456$	39.1511	−	15.0498i	1.83342	−	0.704771i
$457$	−15.7056	+	15.7056i	−0.734678	+	0.734678i	−0.971543	−	0.236865i	$-0.923880\pi$
$457$	−15.7056	+	15.7056i	−0.734678	+	0.734678i	0.236865	+	0.971543i	$0.423880\pi$
$458$	21.9691	+	22.3490i	1.02655	+	1.04430i
$459$	12.3106	−	5.09924i	0.574612	−	0.238012i
$460$	29.7733	+	5.36895i	1.38819	+	0.250328i
$461$	−12.2046	+	29.4645i	−0.568426	+	1.37230i	0.334456	+	0.942411i	$0.391447\pi$
$461$	−12.2046	+	29.4645i	−0.568426	+	1.37230i	−0.902882	+	0.429889i	$0.858553\pi$
$462$	15.3365	−	36.1461i	0.713517	−	1.68167i
$463$	5.07917			0.236049			0.118025	−	0.993011i	$-0.462344\pi$
$463$	5.07917			0.236049			0.118025	+	0.993011i	$0.462344\pi$
$464$	−9.26275	+	20.3590i	−0.430012	+	0.945141i
$465$	7.71839	+	4.77443i	0.357932	+	0.221409i
$466$	−10.9195	+	25.7360i	−0.505838	+	1.19220i
$467$	−22.3699	−	9.26592i	−1.03516	−	0.428775i	−0.200585	−	0.979676i	$-0.564284\pi$
$467$	−22.3699	−	9.26592i	−1.03516	−	0.428775i	−0.834571	+	0.550901i	$0.814284\pi$
$468$	−0.520329	−	0.226052i	−0.0240522	−	0.0104493i
$469$	−24.3705	+	10.0946i	−1.12532	+	0.466125i
$470$	−3.98154	−	17.5690i	−0.183655	−	0.810396i
$471$	−22.0530	−	22.0530i	−1.01615	−	1.01615i
$472$	−4.55510	−	0.117142i	−0.209665	−	0.00539190i
$473$	3.13268	+	3.13268i	0.144041	+	0.144041i
$474$	−12.6274	−	0.108224i	−0.579997	−	0.00497090i
$475$	−24.3843	+	28.0706i	−1.11883	+	1.28797i
$476$	−20.5110	−	0.351608i	−0.940122	−	0.0161159i
$477$	1.08327	−	2.61525i	0.0495996	−	0.119744i
$478$	−7.49089	−	18.5323i	−0.342625	−	0.847646i
$479$	−12.6572			−0.578323			−0.289161	−	0.957280i	$-0.593376\pi$
$479$	−12.6572			−0.578323			−0.289161	+	0.957280i	$0.593376\pi$
$480$	5.11309	−	24.7004i	0.233379	−	1.12742i
$481$	0.0509664			0.00232387
$482$	−7.54120	−	18.6567i	−0.343492	−	0.849791i
$483$	16.0343	−	38.7103i	0.729588	−	1.76138i
$484$	0.311767	−	18.1869i	0.0141712	−	0.826678i
$485$	−20.4364	−	3.32463i	−0.927968	−	0.150964i
$486$	13.8346	+	0.118570i	0.627550	+	0.00537845i
$487$	−2.08946	−	2.08946i	−0.0946824	−	0.0946824i	0.658179	−	0.752861i	$-0.271327\pi$
$487$	−2.08946	−	2.08946i	−0.0946824	−	0.0946824i	−0.752861	+	0.658179i	$0.771327\pi$
$488$	22.4989	−	21.3707i	1.01848	−	0.967407i
$489$	0.971003	+	0.971003i	0.0439103	+	0.0439103i
$490$	8.16336	−	1.85001i	0.368783	−	0.0835750i
$491$	3.61044	−	1.49549i	0.162937	−	0.0674907i	−0.299724	−	0.954026i	$-0.596895\pi$
$491$	3.61044	−	1.49549i	0.162937	−	0.0674907i	0.462661	+	0.886535i	$0.346895\pi$
$492$	−13.4476	+	30.9538i	−0.606265	+	1.39551i
$493$	17.0605	+	7.06668i	0.768365	+	0.318267i
$494$	1.19311	−	2.81202i	0.0536807	−	0.126519i
$495$	5.14968	−	8.32502i	0.231461	−	0.374182i
$496$	0.279045	−	8.13665i	0.0125295	−	0.365346i
$497$	−5.90201			−0.264741
$498$	−3.87143	+	9.12448i	−0.173483	+	0.408878i
$499$	6.13816	−	14.8188i	0.274782	−	0.663382i	−0.724894	−	0.688861i	$-0.758111\pi$
$499$	6.13816	−	14.8188i	0.274782	−	0.663382i	0.999675	+	0.0254792i	$0.00811115\pi$
$500$	6.27506	+	21.4621i	0.280629	+	0.959816i
$501$	20.6928	−	8.57123i	0.924485	−	0.382934i
$502$	6.25231	+	6.36040i	0.279054	+	0.283879i
$503$	15.4065	−	15.4065i	0.686941	−	0.686941i	−0.274613	−	0.961555i	$-0.588550\pi$
$503$	15.4065	−	15.4065i	0.686941	−	0.686941i	0.961555	+	0.274613i	$0.0885498\pi$
$504$	−7.83924	−	3.48585i	−0.349187	−	0.155272i
$505$	13.6202	−	3.20962i	0.606089	−	0.142826i
$506$	0.367546	−	42.8847i	0.0163394	−	1.90646i
$507$	23.7951	−	9.85623i	1.05678	−	0.437731i
$508$	−10.7095	−	11.0831i	−0.475159	−	0.491734i
$509$	−7.17285	−	2.97109i	−0.317931	−	0.131691i	0.218010	−	0.975946i	$-0.430043\pi$
$509$	−7.17285	−	2.97109i	−0.317931	−	0.131691i	−0.535942	+	0.844255i	$0.680043\pi$
$510$	−20.5252	−	3.51991i	−0.908872	−	0.155864i
$511$	28.2700			1.25059
$512$	−21.5101	+	7.02252i	−0.950621	+	0.310355i
$513$			30.0061i			1.32480i
$514$	−1.58764	−	3.92778i	−0.0700278	−	0.173247i
$515$	−2.68777	+	1.93562i	−0.118437	+	0.0852937i
$516$	2.83451	−	2.73896i	0.124782	−	0.120576i
$517$	−23.5927	+	9.77243i	−1.03761	+	0.429791i
$518$	0.770726	+	0.00660556i	0.0338638	+	0.000290231i
$519$	−6.23841	+	6.23841i	−0.273836	+	0.273836i
$520$	−1.03485	−	1.51778i	−0.0453810	−	0.0665589i
$521$	8.58903	+	8.58903i	0.376292	+	0.376292i	0.869763	−	0.493470i	$-0.164272\pi$
$521$	8.58903	+	8.58903i	0.376292	+	0.376292i	−0.493470	+	0.869763i	$0.664272\pi$
$522$	5.41387	+	5.50748i	0.236959	+	0.241056i
$523$	8.76759	+	21.1668i	0.383380	+	0.925561i	0.991307	+	0.131568i	$0.0420013\pi$
$523$	8.76759	+	21.1668i	0.383380	+	0.925561i	−0.607927	+	0.793993i	$0.707999\pi$
$524$	−31.8640	+	12.5631i	−1.39198	+	0.548820i
$525$	30.8923	−	2.17098i	1.34825	−	0.0947495i
$526$	18.8004	+	7.97681i	0.819734	+	0.347805i
$527$	−6.72152			−0.292794
$528$	−35.7357	−	1.22555i	−1.55520	−	0.0533352i
$529$		−	22.7638i		−	0.989732i
$530$	7.48368	−	5.29264i	0.325070	−	0.229898i
$531$	−0.602073	+	1.45353i	−0.0261277	+	0.0630779i
$532$	18.4070	−	42.3694i	0.798044	−	1.83695i
$533$	0.940567	+	2.27073i	0.0407405	+	0.0983562i
$534$	23.5896	+	23.9974i	1.02082	+	1.03847i
$535$	−16.8037	+	3.95982i	−0.726486	+	0.171198i
$536$	16.5434	+	17.4168i	0.714567	+	0.752290i
$537$	22.7319	+	22.7319i	0.980956	+	0.980956i
$538$	0.0215693	−	2.51667i	0.000929917	−	0.108501i
$539$	−4.54073	−	10.9623i	−0.195583	−	0.472179i
$540$	15.1812	+	9.75444i	0.653294	+	0.419764i
$541$	−7.45872	−	3.08950i	−0.320675	−	0.132828i	0.216539	−	0.976274i	$-0.430523\pi$
$541$	−7.45872	−	3.08950i	−0.320675	−	0.132828i	−0.537214	+	0.843446i	$0.680523\pi$
$542$	−11.9859	−	29.6528i	−0.514838	−	1.27369i
$543$			3.29489i			0.141397i
$544$	6.40301	+	17.5495i	0.274527	+	0.752427i
$545$	13.9027	+	8.59992i	0.595527	+	0.368380i
$546$	−2.35875	+	0.953426i	−0.100945	+	0.0408029i
$547$	−3.12845	+	7.55275i	−0.133763	+	0.322932i	−0.976542	−	0.215328i	$-0.930918\pi$
$547$	−3.12845	+	7.55275i	−0.133763	+	0.322932i	0.842779	+	0.538260i	$0.180918\pi$
$548$	−0.574404	+	33.5079i	−0.0245373	+	1.43138i
$549$	−4.10015	−	9.89865i	−0.174990	−	0.422464i
$550$	28.4826	−	13.9097i	1.21450	−	0.593110i
$551$	−29.4039	+	29.4039i	−1.25265	+	1.25265i
$552$	−38.1433	−	0.980920i	−1.62349	−	0.0417507i
$553$	−9.83423	+	9.83423i	−0.418194	+	0.418194i
$554$	−29.2979	−	29.8044i	−1.24475	−	1.26627i
$555$	0.772280	+	0.125636i	0.0327814	+	0.00533295i
$556$	−7.86490	+	18.1035i	−0.333546	+	0.767759i
$557$	5.36449	+	2.22204i	0.227301	+	0.0941510i	0.493427	−	0.869787i	$-0.335744\pi$
$557$	5.36449	+	2.22204i	0.227301	+	0.0941510i	−0.266127	+	0.963938i	$0.585744\pi$
$558$	−2.58776	−	1.09796i	−0.109549	−	0.0464804i
$559$		−	0.287056i		−	0.0121412i
$560$	−15.4525	−	23.0863i	−0.652985	−	0.975574i
$561$			29.5205i			1.24636i
$562$	−1.77969	+	4.19450i	−0.0750715	+	0.176934i
$563$	−15.5167	−	6.42721i	−0.653949	−	0.270875i	0.0309407	−	0.999521i	$-0.490150\pi$
$563$	−15.5167	−	6.42721i	−0.653949	−	0.270875i	−0.684890	+	0.728647i	$0.740150\pi$
$564$	8.33349	+	21.1364i	0.350903	+	0.890003i
$565$	2.66639	−	16.3902i	0.112176	−	0.689540i
$566$	−3.88146	+	3.81549i	−0.163150	+	0.160377i
$567$	24.1060	−	24.1060i	1.01236	−	1.01236i
$568$	1.92845	+	5.01676i	0.0809161	+	0.210499i
$569$	−11.2694	+	11.2694i	−0.472436	+	0.472436i	−0.902702	−	0.430266i	$-0.858420\pi$
$569$	−11.2694	+	11.2694i	−0.472436	+	0.472436i	0.430266	+	0.902702i	$0.358420\pi$
$570$	25.0107	−	39.6686i	1.04758	−	1.66153i
$571$	−3.02709	−	7.30805i	−0.126680	−	0.305832i	0.847797	−	0.530321i	$-0.177929\pi$
$571$	−3.02709	−	7.30805i	−0.126680	−	0.305832i	−0.974477	+	0.224489i	$0.927929\pi$
$572$	−1.87263	+	1.80951i	−0.0782988	+	0.0756595i
$573$	−7.17525	+	17.3226i	−0.299750	+	0.723661i
$574$	13.9292	+	34.4604i	0.581392	+	1.43835i
$575$	30.2655	−	15.1029i	1.26216	−	0.629836i
$576$	−0.401570	+	7.80241i	−0.0167321	+	0.325100i
$577$		−	10.4773i		−	0.436174i	−0.975929	−	0.218087i	$-0.930018\pi$
$577$		−	10.4773i		−	0.436174i	0.975929	−	0.218087i	$-0.0699816\pi$
$578$	−7.99058	+	3.22986i	−0.332364	+	0.134344i
$579$	−15.9385	−	6.60196i	−0.662383	−	0.274368i
$580$	5.31784	+	24.4352i	0.220811	+	1.01462i
$581$	4.17751	+	10.0854i	0.173312	+	0.418413i
$582$	26.1123	+	0.223797i	1.08239	+	0.00927669i
$583$	−9.18780	−	9.18780i	−0.380520	−	0.380520i
$584$	−9.23710	−	24.0298i	−0.382234	−	0.994360i
$585$	−0.617363	+	0.145483i	−0.0255248	+	0.00601498i
$586$	−26.8420	+	26.3858i	−1.10883	+	1.08999i
$587$	−13.1064	−	31.6416i	−0.540957	−	1.30599i	−0.924048	−	0.382276i	$-0.875140\pi$
$587$	−13.1064	−	31.6416i	−0.540957	−	1.30599i	0.383091	−	0.923711i	$-0.374860\pi$
$588$	−9.82097	+	3.87213i	−0.405010	+	0.159684i
$589$	5.79230	−	13.9838i	0.238667	−	0.576194i
$590$	−4.15936	+	2.94160i	−0.171238	+	0.121104i
$591$			48.4525i			1.99307i
$592$	−0.246216	−	0.657283i	−0.0101194	−	0.0270142i
$593$	−2.53713			−0.104187			−0.0520937	−	0.998642i	$-0.516589\pi$
$593$	−2.53713			−0.104187			−0.0520937	+	0.998642i	$0.516589\pi$
$594$	9.99111	−	23.5478i	0.409940	−	0.966179i
$595$	−18.6114	+	13.4032i	−0.762995	+	0.549479i
$596$	17.5494	−	40.3954i	0.718851	−	1.65466i
$597$	−3.78566	−	9.13939i	−0.154937	−	0.374050i
$598$	−1.98166	+	1.94798i	−0.0810362	+	0.0796590i
$599$	5.09806	+	5.09806i	0.208301	+	0.208301i	0.803545	−	0.595244i	$-0.202945\pi$
$599$	5.09806	+	5.09806i	0.208301	+	0.208301i	−0.595244	+	0.803545i	$0.702945\pi$
$600$	−11.9393	−	25.5494i	−0.487419	−	1.04305i
$601$	5.13633	−	5.13633i	0.209515	−	0.209515i	−0.594546	−	0.804061i	$-0.702668\pi$
$601$	5.13633	−	5.13633i	0.209515	−	0.209515i	0.804061	+	0.594546i	$0.202668\pi$
$602$	0.0372042	−	4.34093i	0.00151633	−	0.176923i
$603$	7.66271	−	3.17400i	0.312050	−	0.129255i
$604$	33.4902	+	0.574101i	1.36270	+	0.0233598i
$605$	−11.8845	−	16.5026i	−0.483174	−	0.670925i
$606$	−16.3622	+	6.61373i	−0.664669	+	0.268665i
$607$			28.5540i			1.15897i	0.814983	+	0.579485i	$0.196746\pi$
$607$			28.5540i			1.15897i	−0.814983	+	0.579485i	$0.803254\pi$
$608$	−42.0288	−	1.80211i	−1.70449	−	0.0730852i
$609$	34.6337			1.40343
$610$	5.86404	−	34.1943i	0.237428	−	1.38449i
$611$	1.52867	+	0.633197i	0.0618435	+	0.0256164i
$612$	6.44920	+	0.110555i	0.260693	+	0.00446891i
$613$	−4.88841	+	2.02484i	−0.197441	+	0.0817827i	−0.479213	−	0.877699i	$-0.659078\pi$
$613$	−4.88841	+	2.02484i	−0.197441	+	0.0817827i	0.281772	+	0.959481i	$0.409078\pi$
$614$	−15.5194	−	0.133010i	−0.626313	−	0.00536785i
$615$	8.65462	+	36.7263i	0.348988	+	1.48095i
$616$	−28.5529	+	27.1212i	−1.15043	+	1.09274i
$617$	23.2468	−	23.2468i	0.935880	−	0.935880i	−0.0621850	−	0.998065i	$-0.519807\pi$
$617$	23.2468	−	23.2468i	0.935880	−	0.935880i	0.998065	+	0.0621850i	$0.0198069\pi$
$618$	2.97905	−	2.92842i	0.119835	−	0.117798i
$619$	−7.42106	+	3.07390i	−0.298278	+	0.123551i	−0.526803	−	0.849987i	$-0.676610\pi$
$619$	−7.42106	+	3.07390i	−0.298278	+	0.123551i	0.228526	+	0.973538i	$0.426610\pi$
$620$	−5.19197	−	7.47643i	−0.208515	−	0.300261i
$621$	10.4458	−	25.2183i	0.419174	−	1.01197i
$622$	22.2033	+	9.42064i	0.890270	+	0.377733i
$623$	37.0607			1.48480
$624$	1.58113	+	1.69343i	0.0632959	+	0.0677915i
$625$	19.9763	+	15.0315i	0.799053	+	0.601260i
$626$	−14.3705	−	6.09726i	−0.574361	−	0.243696i
$627$	−61.4162	−	25.4394i	−2.45273	−	1.01595i
$628$	11.4730	+	29.0993i	0.457823	+	1.16119i
$629$	−0.535363	+	0.221754i	−0.0213463	+	0.00884193i
$630$	−9.35476	+	2.12001i	−0.372703	+	0.0844633i
$631$	−0.544062	−	0.544062i	−0.0216588	−	0.0216588i	0.696194	−	0.717853i	$-0.254875\pi$
$631$	−0.544062	−	0.544062i	−0.0216588	−	0.0216588i	−0.717853	+	0.696194i	$0.754875\pi$
$632$	11.5725	+	5.14590i	0.460328	+	0.204693i
$633$	−40.1889	−	40.1889i	−1.59736	−	1.59736i
$634$	−0.270947	+	31.6137i	−0.0107607	+	1.25554i
$635$	−17.0075	−	2.76682i	−0.674924	−	0.109798i
$636$	−8.31330	+	8.03308i	−0.329644	+	0.318532i
$637$	−0.294213	+	0.710293i	−0.0116572	+	0.0281428i
$638$	32.8658	−	13.2846i	1.30117	−	0.525943i
$639$	1.85574			0.0734121
$640$	−14.5745	+	20.6781i	−0.576109	+	0.817373i
$641$	39.3654			1.55484			0.777420	−	0.628982i	$-0.216528\pi$
$641$	39.3654			1.55484			0.777420	+	0.628982i	$0.216528\pi$
$642$	20.1866	−	8.15960i	0.796702	−	0.322034i
$643$	11.7060	−	28.2608i	0.461640	−	1.11450i	−0.506084	−	0.862484i	$-0.668907\pi$
$643$	11.7060	−	28.2608i	0.461640	−	1.11450i	0.967724	−	0.252013i	$-0.0810925\pi$
$644$	−30.2196	+	29.2010i	−1.19082	+	1.15068i
$645$	0.707615	−	4.34968i	0.0278623	−	0.171268i
$646$	−0.297649	+	34.7293i	−0.0117109	+	1.36641i
$647$	−10.4453	−	10.4453i	−0.410646	−	0.410646i	0.471317	−	0.881964i	$-0.343779\pi$
$647$	−10.4453	−	10.4453i	−0.410646	−	0.410646i	−0.881964	+	0.471317i	$0.843779\pi$
$648$	−28.3669	−	12.6138i	−1.11436	−	0.495517i
$649$	5.10649	+	5.10649i	0.200447	+	0.200447i
$650$	−1.94226	−	0.667682i	−0.0761819	−	0.0261886i
$651$	−11.6468	+	4.82426i	−0.456474	+	0.189078i
$652$	−0.505161	−	1.28125i	−0.0197836	−	0.0501777i
$653$	−27.4537	−	11.3717i	−1.07435	−	0.445009i	−0.225825	−	0.974168i	$-0.572508\pi$
$653$	−27.4537	−	11.3717i	−1.07435	−	0.445009i	−0.848523	+	0.529159i	$0.822508\pi$
$654$	−18.9799	−	8.05300i	−0.742174	−	0.314897i
$655$	−20.1452	+	32.5669i	−0.787137	+	1.27249i
$656$	24.7404	−	23.0997i	0.965949	−	0.901892i
$657$	−8.88883			−0.346786
$658$	23.0349	+	9.77348i	0.897993	+	0.381010i
$659$	−11.5549	+	27.8960i	−0.450116	+	1.08668i	0.522162	+	0.852846i	$0.325126\pi$
$659$	−11.5549	+	27.8960i	−0.450116	+	1.08668i	−0.972278	+	0.233829i	$0.924874\pi$
$660$	−32.8361	+	22.8028i	−1.27814	+	0.887599i
$661$	3.72998	−	1.54501i	0.145079	−	0.0600939i	−0.308962	−	0.951074i	$-0.599982\pi$
$661$	3.72998	−	1.54501i	0.145079	−	0.0600939i	0.454042	+	0.890980i	$0.349982\pi$
$662$	−8.77549	+	8.62634i	−0.341069	+	0.335272i
$663$	1.35252	−	1.35252i	0.0525277	−	0.0525277i
$664$	7.20770	−	6.84628i	0.279713	−	0.265687i
$665$	−11.8464	−	50.2707i	−0.459383	−	1.94941i
$666$	−0.242336	−	0.00207696i	−0.00939034	−	8.04805e-5i
$667$	34.9483	−	14.4760i	1.35320	−	0.560515i
$668$	−22.4602	−	0.385022i	−0.869013	−	0.0148969i
$669$	−12.6075	−	5.22220i	−0.487434	−	0.201902i
$670$	26.4704	+	4.53945i	1.02264	+	0.175374i
$671$	−49.1801			−1.89858
$672$	23.6907	+	25.8134i	0.913890	+	0.995773i
$673$			46.3919i			1.78828i	0.447791	+	0.894138i	$0.352211\pi$
$673$			46.3919i			1.78828i	−0.447791	+	0.894138i	$0.647789\pi$
$674$	−37.1486	+	15.0158i	−1.43091	+	0.578386i
$675$	20.1252	−	1.41431i	0.774617	−	0.0544369i
$676$	−25.8275	−	0.442744i	−0.993365	−	0.0170286i
$677$	35.0198	−	14.5057i	1.34592	−	0.557498i	0.410766	−	0.911741i	$-0.365261\pi$
$677$	35.0198	−	14.5057i	1.34592	−	0.557498i	0.935153	+	0.354243i	$0.115261\pi$
$678$	−0.179488	+	20.9423i	−0.00689318	+	0.804286i
$679$	20.3362	−	20.3362i	0.780433	−	0.780433i
$680$	17.4741	+	11.4405i	0.670100	+	0.438722i
$681$	18.3077	+	18.3077i	0.701553	+	0.701553i
$682$	−9.20180	+	9.04541i	−0.352355	+	0.346367i
$683$	−14.2038	−	34.2910i	−0.543493	−	1.31211i	−0.922244	−	0.386609i	$-0.873646\pi$
$683$	−14.2038	−	34.2910i	−0.543493	−	1.31211i	0.378751	−	0.925499i	$-0.376354\pi$
$684$	−5.78763	+	13.3220i	−0.221296	+	0.509381i
$685$	21.8962	+	30.4046i	0.836611	+	1.16170i
$686$	7.46831	−	17.6019i	0.285141	−	0.672043i
$687$	−44.1898			−1.68595
$688$	−3.70199	+	1.38676i	−0.141137	+	0.0528695i
$689$			0.841905i			0.0320740i
$690$	−34.8295	+	24.6323i	−1.32594	+	0.937735i
$691$	5.93341	−	14.3245i	0.225717	−	0.544930i	−0.769930	−	0.638128i	$-0.779709\pi$
$691$	5.93341	−	14.3245i	0.225717	−	0.544930i	0.995648	+	0.0931981i	$0.0297090\pi$
$692$	8.23167	−	3.24551i	0.312921	−	0.123376i
$693$	5.20343	+	12.5622i	0.197662	+	0.477198i
$694$	20.2269	−	19.8831i	0.767801	−	0.754752i
$695$	5.06170	+	21.4795i	0.192001	+	0.814766i
$696$	−11.3164	−	29.4390i	−0.428948	−	1.11588i
$697$	−19.7598	−	19.7598i	−0.748457	−	0.748457i
$698$	22.7956	+	0.195371i	0.862826	+	0.00739490i
$699$	−15.0857	−	36.4202i	−0.570594	−	1.37754i
$700$	−29.2848	−	10.3486i	−1.10686	−	0.391139i
$701$	−5.23751	−	2.16945i	−0.197818	−	0.0819389i	0.281575	−	0.959539i	$-0.409143\pi$
$701$	−5.23751	−	2.16945i	−0.197818	−	0.0819389i	−0.479393	+	0.877600i	$0.659143\pi$
$702$	−1.53663	+	0.621120i	−0.0579965	+	0.0234427i
$703$		−	1.30490i		−	0.0492152i
$704$	32.3828	+	15.4085i	1.22047	+	0.580731i
$705$	21.6027	+	13.3629i	0.813604	+	0.503278i
$706$	−1.60094	−	3.96069i	−0.0602523	−	0.149063i
$707$	−7.43819	+	17.9574i	−0.279742	+	0.675357i
$708$	4.62045	−	4.46471i	0.173647	−	0.167794i
$709$	5.17455	+	12.4925i	0.194334	+	0.469165i	0.990769	−	0.135560i	$-0.0432833\pi$
$709$	5.17455	+	12.4925i	0.194334	+	0.469165i	−0.796435	+	0.604724i	$0.793283\pi$
$710$	5.08307	+	3.20483i	0.190764	+	0.120275i
$711$	3.09214	−	3.09214i	0.115964	−	0.115964i
$712$	−12.1094	−	31.5019i	−0.453819	−	1.18058i
$713$	−9.73614	+	9.73614i	−0.364621	+	0.364621i
$714$	20.6285	−	20.2779i	0.772001	−	0.758881i
$715$	−0.467490	+	2.87364i	−0.0174831	+	0.107468i
$716$	−11.8262	−	29.9951i	−0.441967	−	1.12097i
$717$	26.0403	+	10.7862i	0.972493	+	0.402820i
$718$	−5.38198	+	12.6847i	−0.200854	+	0.473388i
$719$		−	40.2960i		−	1.50279i	−0.659854	−	0.751394i	$-0.729382\pi$
$719$		−	40.2960i		−	1.50279i	0.659854	−	0.751394i	$-0.270618\pi$
$720$	4.85865	+	7.25893i	0.181071	+	0.270524i
$721$		−	4.60074i		−	0.171340i
$722$	−47.2607	−	20.0523i	−1.75886	−	0.746268i
$723$	26.2152	+	10.8587i	0.974954	+	0.403839i
$724$	1.31675	−	3.03091i	0.0489366	−	0.112643i
$725$	21.1072	+	18.3353i	0.783901	+	0.680957i
$726$	17.9802	+	18.2911i	0.667307	+	0.678845i
$727$	31.3779	−	31.3779i	1.16374	−	1.16374i	0.180092	−	0.983650i	$-0.442361\pi$
$727$	31.3779	−	31.3779i	1.16374	−	1.16374i	0.983650	−	0.180092i	$-0.0576395\pi$
$728$	2.55079	+	0.0655979i	0.0945385	+	0.00243122i
$729$	9.48915	−	9.48915i	0.351450	−	0.351450i
$730$	−24.3474	−	15.3508i	−0.901137	−	0.568160i
$731$	1.24898	+	3.01530i	0.0461952	+	0.111525i
$732$	−0.749964	+	43.7491i	−0.0277195	+	1.61701i
$733$	−14.3414	+	34.6232i	−0.529712	+	1.27884i	0.401999	+	0.915640i	$0.368315\pi$
$733$	−14.3414	+	34.6232i	−0.529712	+	1.27884i	−0.931712	+	0.363199i	$0.881685\pi$
$734$	−33.6361	+	13.5960i	−1.24153	+	0.501837i
$735$	−6.20905	+	10.0376i	−0.229024	+	0.370243i
$736$	34.6953	+	16.1457i	1.27888	+	0.595137i
$737$		−	38.0711i		−	1.40237i
$738$	−4.37969	−	10.8352i	−0.161219	−	0.398851i
$739$	−20.5711	−	8.52083i	−0.756720	−	0.313444i	−0.0292398	−	0.999572i	$-0.509309\pi$
$739$	−20.5711	−	8.52083i	−0.756720	−	0.313444i	−0.727480	+	0.686129i	$0.759309\pi$
$740$	−0.660196	−	0.424199i	−0.0242693	−	0.0155939i
$741$	1.64833	+	3.97942i	0.0605529	+	0.146188i
$742$	−0.109116	+	12.7315i	−0.00400577	+	0.467387i
$743$	14.5271	+	14.5271i	0.532949	+	0.532949i	0.921449	−	0.388500i	$-0.127007\pi$
$743$	14.5271	+	14.5271i	0.532949	+	0.532949i	−0.388500	+	0.921449i	$0.627007\pi$
$744$	7.90620	+	8.32358i	0.289855	+	0.305157i
$745$	−11.2945	−	47.9285i	−0.413797	−	1.75597i
$746$	−1.61504	−	1.64297i	−0.0591309	−	0.0601533i
$747$	−1.31352	−	3.17111i	−0.0480591	−	0.116025i
$748$	11.7974	−	27.1553i	0.431355	−	0.992897i
$749$	9.17676	−	22.1546i	0.335311	−	0.809513i
$750$	−27.7847	−	14.9050i	−1.01455	−	0.544254i
$751$		−	15.2467i		−	0.556359i	−0.960529	−	0.278180i	$-0.910269\pi$
$751$		−	15.2467i		−	0.556359i	0.960529	−	0.278180i	$-0.0897311\pi$
$752$	0.781007	−	22.7733i	0.0284804	−	0.830457i
$753$	−12.5762			−0.458303
$754$	−2.11445	−	0.897140i	−0.0770037	−	0.0326719i
$755$	30.3885	−	21.8846i	1.10595	−	0.796463i
$756$	−23.3178	+	9.19356i	−0.848061	+	0.334367i
$757$	−1.26031	−	3.04266i	−0.0458067	−	0.110587i	0.899320	−	0.437291i	$-0.144062\pi$
$757$	−1.26031	−	3.04266i	−0.0458067	−	0.110587i	−0.945127	+	0.326704i	$0.894062\pi$
$758$	13.1416	+	13.3688i	0.477323	+	0.485575i
$759$	42.7606	+	42.7606i	1.55211	+	1.55211i
$760$	−38.8598	+	26.4952i	−1.40959	+	0.961083i
$761$	−8.33151	+	8.33151i	−0.302017	+	0.302017i	−0.841803	−	0.539785i	$-0.818505\pi$
$761$	−8.33151	+	8.33151i	−0.302017	+	0.302017i	0.539785	+	0.841803i	$0.318505\pi$
$762$	21.7312	+	0.186248i	0.787238	+	0.00674707i
$763$	−20.9787	+	8.68968i	−0.759481	+	0.314587i
$764$	13.5230	−	13.0672i	0.489247	−	0.472756i
$765$	5.85192	−	4.21432i	0.211577	−	0.152369i
$766$	−15.0237	−	37.1682i	−0.542828	−	1.34294i
$767$		−	0.467923i		−	0.0168957i
$768$	14.2008	−	28.5718i	0.512426	−	1.03099i
$769$	−2.69504			−0.0971856			−0.0485928	−	0.998819i	$-0.515474\pi$
$769$	−2.69504			−0.0971856			−0.0485928	+	0.998819i	$0.515474\pi$
$770$	−7.44193	+	43.3953i	−0.268189	+	1.56386i
$771$	5.51905	+	2.28607i	0.198764	+	0.0823307i
$772$	12.0232	+	12.4426i	0.432724	+	0.447818i
$773$	−11.6983	+	4.84561i	−0.420760	+	0.174284i	−0.583009	−	0.812465i	$-0.698125\pi$
$773$	−11.6983	+	4.84561i	−0.420760	+	0.174284i	0.162250	+	0.986750i	$0.448125\pi$
$774$	−0.0116980	+	1.36490i	−0.000420475	+	0.0490604i
$775$	−9.65201	−	3.22579i	−0.346710	−	0.115874i
$776$	−23.9308	−	10.6412i	−0.859065	−	0.381998i
$777$	−0.768496	+	0.768496i	−0.0275696	+	0.0275696i
$778$	−8.70100	−	8.85143i	−0.311946	−	0.317339i
$779$	58.1377	−	24.0814i	2.08300	−	0.862806i
$780$	2.54918	+	0.459686i	0.0912751	+	0.0164594i
$781$	3.25977	−	7.86977i	0.116644	−	0.281602i
$782$	12.3402	−	29.0842i	0.441283	−	1.04005i
$783$	22.5625			0.806319
$784$	10.5815	+	0.362892i	0.377912	+	0.0129604i
$785$	29.7412	+	18.3973i	1.06151	+	0.656626i
$786$	18.8640	−	44.4601i	0.672857	−	1.58584i
$787$	36.2065	+	14.9972i	1.29062	+	0.534593i	0.919171	−	0.393859i	$-0.128860\pi$
$787$	36.2065	+	14.9972i	1.29062	+	0.534593i	0.371452	+	0.928452i	$0.378860\pi$
$788$	19.3632	−	44.5705i	0.689786	−	1.58776i
$789$	−26.6052	+	11.0202i	−0.947171	+	0.392331i
$790$	13.8097	−	3.12961i	0.491328	−	0.111347i
$791$	16.3099	+	16.3099i	0.579912	+	0.579912i
$792$	8.97778	−	8.52760i	0.319011	−	0.303015i
$793$	2.25326	+	2.25326i	0.0800155	+	0.0800155i
$794$	13.6830	+	0.117271i	0.485593	+	0.00416181i
$795$	−2.07536	+	12.7571i	−0.0736054	+	0.452449i
$796$	−0.170053	+	9.92002i	−0.00602736	+	0.351606i
$797$	2.84710	−	6.87352i	0.100850	−	0.243473i	−0.865399	−	0.501083i	$-0.832935\pi$
$797$	2.84710	−	6.87352i	0.100850	−	0.243473i	0.966249	+	0.257610i	$0.0829351\pi$
$798$	24.4106	+	60.3913i	0.864127	+	2.13783i
$799$	−18.8126			−0.665540
$800$	0.772311	+	28.2737i	0.0273053	+	0.999627i
$801$	−11.6528			−0.411733
$802$	−8.49702	−	21.0214i	−0.300040	−	0.742292i
$803$	−15.6140	+	37.6954i	−0.551004	+	1.33024i
$804$	−33.8669	−	0.580559i	−1.19439	−	0.0204748i
$805$	−7.54412	+	46.3734i	−0.265895	+	1.63445i
$806$	0.836022	+	0.00716518i	0.0294476	+	0.000252383i
$807$	2.50939	+	2.50939i	0.0883346	+	0.0883346i
$808$	17.6943	+	0.455040i	0.622484	+	0.0160083i
$809$	5.60192	+	5.60192i	0.196953	+	0.196953i	0.798692	−	0.601740i	$-0.205525\pi$
$809$	5.60192	+	5.60192i	0.196953	+	0.196953i	−0.601740	+	0.798692i	$0.705525\pi$
$810$	−33.8509	+	7.67142i	−1.18940	+	0.269546i
$811$	45.8128	−	18.9763i	1.60870	−	0.666347i	0.616092	−	0.787674i	$-0.288715\pi$
$811$	45.8128	−	18.9763i	1.60870	−	0.666347i	0.992613	+	0.121327i	$0.0387150\pi$
$812$	−31.8589	−	13.8408i	−1.11803	−	0.485717i
$813$	41.6661	+	17.2586i	1.46129	+	0.605287i
$814$	−0.434491	+	1.02404i	−0.0152289	+	0.0358927i
$815$	−1.30952	−	0.810038i	−0.0458703	−	0.0283744i
$816$	−23.9767	−	10.9087i	−0.839351	−	0.381881i
$817$	−7.34953			−0.257127
$818$	−6.83553	+	16.1105i	−0.238999	+	0.563291i
$819$	0.337152	−	0.813957i	0.0117810	−	0.0284420i
$820$	6.71583	−	37.2424i	0.234527	−	1.30056i
$821$	−31.7320	+	13.1438i	−1.10746	+	0.458723i	−0.860061	−	0.510191i	$-0.829575\pi$
$821$	−31.7320	+	13.1438i	−1.10746	+	0.458723i	−0.247395	+	0.968915i	$0.579575\pi$
$822$	−33.1270	−	33.6997i	−1.15544	−	1.17541i
$823$	22.3684	−	22.3684i	0.779714	−	0.779714i	−0.200068	−	0.979782i	$-0.564116\pi$
$823$	22.3684	−	22.3684i	0.779714	−	0.779714i	0.979782	+	0.200068i	$0.0641164\pi$
$824$	−3.91067	+	1.50327i	−0.136235	+	0.0523689i
$825$	−14.1675	+	42.3911i	−0.493248	+	1.47587i
$826$	0.0606456	−	7.07604i	0.00211013	−	0.246207i
$827$	−26.8118	+	11.1058i	−0.932339	+	0.386187i	−0.796565	−	0.604552i	$-0.793352\pi$
$827$	−26.8118	+	11.1058i	−0.932339	+	0.386187i	−0.135774	+	0.990740i	$0.543352\pi$
$828$	9.50183	−	9.18155i	0.330212	−	0.319081i
$829$	7.89878	+	3.27178i	0.274336	+	0.113634i	0.515610	−	0.856823i	$-0.327565\pi$
$829$	7.89878	+	3.27178i	0.274336	+	0.113634i	−0.241274	+	0.970457i	$0.577565\pi$
$830$	1.87859	−	10.9544i	0.0652068	−	0.380233i
$831$	58.9313			2.04430
$832$	−0.777699	−	2.18963i	−0.0269619	−	0.0759117i
$833$		−	8.74119i		−	0.302864i
$834$	−10.4301	−	25.8039i	−0.361166	−	0.893515i
$835$	−20.3801	+	14.6770i	−0.705283	+	0.507917i
$836$	46.3291	+	47.9452i	1.60233	+	1.65822i
$837$	−7.58744	+	3.14282i	−0.262260	+	0.108632i
$838$	35.0544	+	0.300436i	1.21093	+	0.0103784i
$839$	−17.2073	+	17.2073i	−0.594062	+	0.594062i	−0.938726	−	0.344664i	$-0.887993\pi$
$839$	−17.2073	+	17.2073i	−0.594062	+	0.594062i	0.344664	+	0.938726i	$0.387993\pi$
$840$	38.4896	+	7.28187i	1.32802	+	0.251248i
$841$	1.60362	+	1.60362i	0.0552971	+	0.0552971i
$842$	15.2018	+	15.4646i	0.523888	+	0.532945i
$843$	−2.45870	−	5.93583i	−0.0846821	−	0.204441i
$844$	20.9081	+	53.0298i	0.719687	+	1.82536i
$845$	−23.4355	+	16.8773i	−0.806206	+	0.580598i
$846$	−7.24277	−	3.07304i	−0.249011	−	0.105653i
$847$	28.2480			0.970613
$848$	10.8575	−	4.06720i	0.372849	−	0.139668i
$849$		−	7.67467i		−	0.263394i
$850$	23.3070	−	1.43730i	0.799425	−	0.0492990i
$851$	−0.454263	+	1.09669i	−0.0155719	+	0.0375940i
$852$	−6.95100	−	3.01980i	−0.238137	−	0.103457i
$853$	−2.21633	−	5.35068i	−0.0758856	−	0.183204i	0.881384	−	0.472400i	$-0.156612\pi$
$853$	−2.21633	−	5.35068i	−0.0758856	−	0.183204i	−0.957270	+	0.289196i	$0.906612\pi$
$854$	33.7822	+	34.3663i	1.15600	+	1.17599i
$855$	3.72481	+	15.8064i	0.127386	+	0.540567i
$856$	−21.8301	−	0.561399i	−0.746138	−	0.0191882i
$857$	36.1321	+	36.1321i	1.23425	+	1.23425i	0.962317	+	0.271931i	$0.0876621\pi$
$857$	36.1321	+	36.1321i	1.23425	+	1.23425i	0.271931	+	0.962317i	$0.412338\pi$
$858$	0.0314691	−	3.67176i	0.00107434	−	0.125352i
$859$	−13.5620	−	32.7415i	−0.462728	−	1.11713i	−0.967273	−	0.253739i	$-0.918339\pi$
$859$	−13.5620	−	32.7415i	−0.462728	−	1.11713i	0.504544	−	0.863386i	$-0.331661\pi$
$860$	−2.38920	+	3.71840i	−0.0814710	+	0.126796i
$861$	−48.4214	−	20.0568i	−1.65020	−	0.683535i
$862$	−1.42721	−	3.53087i	−0.0486108	−	0.120262i
$863$			17.8298i			0.606933i	0.952842	+	0.303466i	$0.0981440\pi$
$863$			17.8298i			0.606933i	−0.952842	+	0.303466i	$0.901856\pi$
$864$	15.4336	+	16.8164i	0.525062	+	0.572106i
$865$	5.20426	−	8.41325i	0.176950	−	0.286059i
$866$	18.4657	−	7.46397i	0.627489	−	0.253636i
$867$	4.65072	−	11.2278i	0.157947	−	0.381317i
$868$	12.6416	+	0.216707i	0.429084	+	0.00735551i
$869$	−7.68143	−	18.5446i	−0.260575	−	0.629083i
$870$	−29.8281	−	18.8064i	−1.01127	−	0.637596i
$871$	−1.74428	+	1.74428i	−0.0591028	+	0.0591028i
$872$	14.2410	+	14.9928i	0.482262	+	0.507721i
$873$	−6.39424	+	6.39424i	−0.216412	+	0.216412i
$874$	49.8744	+	50.7367i	1.68703	+	1.71619i
$875$	−33.1583	+	10.3149i	−1.12095	+	0.348706i
$876$	33.2946	+	14.4645i	1.12492	+	0.488711i
$877$	−48.9217	−	20.2640i	−1.65197	−	0.684267i	−0.654545	−	0.756023i	$-0.727140\pi$
$877$	−48.9217	−	20.2640i	−1.65197	−	0.684267i	−0.997422	+	0.0717560i	$0.977140\pi$
$878$	−33.3668	−	14.1572i	−1.12608	−	0.477783i
$879$		−	53.0737i		−	1.79013i
$880$	39.3180	−	7.85350i	1.32541	−	0.264741i
$881$		−	1.84609i		−	0.0621963i	−0.999516	−	0.0310982i	$-0.990100\pi$
$881$		−	1.84609i		−	0.0621963i	0.999516	−	0.0310982i	$-0.00990045\pi$
$882$	1.42788	−	3.36533i	0.0480791	−	0.113316i
$883$	−35.5383	−	14.7205i	−1.19596	−	0.495383i	−0.306268	−	0.951945i	$-0.599080\pi$
$883$	−35.5383	−	14.7205i	−1.19596	−	0.495383i	−0.889691	+	0.456563i	$0.849080\pi$
$884$	−1.78467	+	0.703646i	−0.0600251	+	0.0236662i
$885$	1.15346	−	7.09030i	0.0387733	−	0.238338i
$886$	15.4609	−	15.1981i	0.519418	−	0.510590i
$887$	−1.56471	+	1.56471i	−0.0525378	+	0.0525378i	−0.732888	−	0.680350i	$-0.761828\pi$
$887$	−1.56471	+	1.56471i	−0.0525378	+	0.0525378i	0.680350	+	0.732888i	$0.261828\pi$
$888$	0.904331	+	0.402126i	0.0303474	+	0.0134945i
$889$	16.9242	−	16.9242i	0.567620	−	0.567620i
$890$	−31.9183	−	20.1242i	−1.06990	−	0.674565i
$891$	18.8290	+	45.4572i	0.630795	+	1.52287i
$892$	9.51043	+	9.84218i	0.318433	+	0.329541i
$893$	16.2118	−	39.1388i	0.542507	−	1.30973i
$894$	23.2733	+	57.5776i	0.778377	+	1.92568i
$895$	−30.6568	−	18.9636i	−1.02474	−	0.633884i
$896$	−11.4768	−	33.2128i	−0.383412	−	1.10956i
$897$		−	3.91827i		−	0.130827i
$898$	3.12831	−	1.26449i	0.104393	−	0.0421965i
$899$	−10.5149	−	4.35541i	−0.350692	−	0.145261i
$900$	9.20791	+	3.25386i	0.306930	+	0.108462i
$901$	−3.66312	−	8.84355i	−0.122036	−	0.294621i
$902$	−53.6430	−	0.459750i	−1.78612	−	0.0153080i
$903$	4.32837	+	4.32837i	0.144039	+	0.144039i
$904$	8.53436	−	19.1927i	0.283849	−	0.638340i
$905$	−0.847435	−	3.59613i	−0.0281697	−	0.119539i
$906$	−33.6819	+	33.1095i	−1.11901	+	1.09999i
$907$	19.3159	+	46.6327i	0.641373	+	1.54841i	0.824828	+	0.565384i	$0.191272\pi$
$907$	19.3159	+	46.6327i	0.641373	+	1.54841i	−0.183454	+	0.983028i	$0.558728\pi$
$908$	−9.52453	−	24.1573i	−0.316083	−	0.801688i
$909$	2.33876	−	5.64626i	0.0775718	−	0.187275i
$910$	2.32918	−	1.64725i	0.0772116	−	0.0546060i
$911$		−	1.97689i		−	0.0654972i	−0.999464	−	0.0327486i	$-0.989574\pi$
$911$		−	1.97689i		−	0.0654972i	0.999464	−	0.0327486i	$-0.0104261\pi$
$912$	43.3571	−	40.4818i	1.43570	−	1.34049i
$913$	−15.7552			−0.521422
$914$	−12.2688	+	28.9161i	−0.405817	+	0.956460i
$915$	28.5885	+	39.6974i	0.945106	+	1.31235i
$916$	40.6494	+	17.6597i	1.34309	+	0.583494i
$917$	−20.3554	−	49.1423i	−0.672195	−	1.62282i
$918$	13.4387	−	13.2103i	0.443542	−	0.436003i
$919$	−3.60620	−	3.60620i	−0.118958	−	0.118958i	0.645122	−	0.764080i	$-0.276807\pi$
$919$	−3.60620	−	3.60620i	−0.118958	−	0.118958i	−0.764080	+	0.645122i	$0.776807\pi$
$920$	41.8828	−	8.73972i	1.38084	−	0.288140i
$921$	15.4745	−	15.4745i	0.509902	−	0.509902i
$922$	−0.386538	+	45.1007i	−0.0127300	+	1.48531i
$923$	−0.509916	+	0.211214i	−0.0167841	+	0.00695219i
$924$	0.951764	−	55.5211i	0.0313107	−	1.82651i
$925$	−0.875198	+	0.0615053i	−0.0287763	+	0.00202228i
$926$	6.65958	−	2.69185i	0.218847	−	0.0884598i
$927$			1.44659i			0.0475123i
$928$	−1.35506	+	31.6028i	−0.0444821	+	1.03741i
$929$	−53.0383			−1.74013			−0.870065	−	0.492938i	$-0.835923\pi$
$929$	−53.0383			−1.74013			−0.870065	+	0.492938i	$0.835923\pi$
$930$	12.6503	+	2.16943i	0.414821	+	0.0711384i
$931$	18.1857	+	7.53276i	0.596012	+	0.246876i
$932$	−0.677654	+	39.5309i	−0.0221973	+	1.29488i
$933$	−31.4209	+	13.0149i	−1.02867	+	0.426090i
$934$	−34.2411	−	0.293465i	−1.12040	−	0.00960248i
$935$	−7.59257	−	32.2194i	−0.248304	−	1.05369i
$936$	−0.802034	−	0.0206257i	−0.0262153	−	0.000674171i
$937$	19.8532	−	19.8532i	0.648576	−	0.648576i	−0.304073	−	0.952649i	$-0.598347\pi$
$937$	19.8532	−	19.8532i	0.648576	−	0.648576i	0.952649	+	0.304073i	$0.0983467\pi$
$938$	−26.6035	+	26.1514i	−0.868636	+	0.853873i
$939$	20.3363	−	8.42359i	0.663651	−	0.274893i
$940$	−14.5316	−	20.9255i	−0.473968	−	0.682513i
$941$	−8.00625	+	19.3288i	−0.260996	+	0.630101i	−0.999001	−	0.0446950i	$-0.985768\pi$
$941$	−8.00625	+	19.3288i	−0.260996	+	0.630101i	0.738004	+	0.674796i	$0.235768\pi$
$942$	−40.6025	−	17.2273i	−1.32290	−	0.561295i
$943$	−57.2444			−1.86414
$944$	−6.03451	+	2.26051i	−0.196407	+	0.0735734i
$945$	−14.7421	+	23.8322i	−0.479560	+	0.775262i
$946$	5.76767	+	2.44717i	0.187523	+	0.0795643i
$947$	−9.36913	−	3.88082i	−0.304456	−	0.126110i	0.225225	−	0.974307i	$-0.427688\pi$
$947$	−9.36913	−	3.88082i	−0.304456	−	0.126110i	−0.529681	+	0.848197i	$0.677688\pi$
$948$	−16.6139	+	6.55037i	−0.539593	+	0.212746i
$949$	2.44245	−	1.01169i	0.0792851	−	0.0328410i
$950$	−17.0947	+	49.7280i	−0.554625	+	1.61339i
$951$	−31.5222	−	31.5222i	−1.02218	−	1.02218i
$952$	−27.0794	+	10.4094i	−0.877650	+	0.337370i
$953$	19.1076	+	19.1076i	0.618955	+	0.618955i	0.945263	−	0.326309i	$-0.105805\pi$
$953$	19.1076	+	19.1076i	0.618955	+	0.618955i	−0.326309	+	0.945263i	$0.605805\pi$
$954$	0.0343089	−	4.00311i	0.00111079	−	0.129605i
$955$	3.37594	−	20.7517i	0.109243	−	0.671510i
$956$	−19.6434	−	20.3286i	−0.635313	−	0.657475i
$957$	−19.1287	+	46.1808i	−0.618344	+	1.49281i
$958$	−16.5955	+	6.70805i	−0.536178	+	0.216727i
$959$	−52.0446			−1.68061
$960$	−6.38666	−	35.0959i	−0.206128	−	1.13271i
$961$	−26.8573			−0.866365
$962$	0.0668248	−	0.0270111i	0.00215452	−	0.000870874i
$963$	−2.88541	+	6.96600i	−0.0929810	+	0.224476i
$964$	−19.7753	−	20.4652i	−0.636921	−	0.659138i
$965$	19.0937	+	3.10621i	0.614649	+	0.0999923i
$966$	0.507832	−	59.2530i	0.0163392	−	1.90644i
$967$	−4.66003	−	4.66003i	−0.149856	−	0.149856i	0.628197	−	0.778054i	$-0.283793\pi$
$967$	−4.66003	−	4.66003i	−0.149856	−	0.149856i	−0.778054	+	0.628197i	$0.783793\pi$
$968$	−9.22990	−	24.0111i	−0.296660	−	0.771745i
$969$	−34.6288	−	34.6288i	−1.11244	−	1.11244i
$970$	−28.5572	+	6.47174i	−0.916916	+	0.207795i
$971$	−38.2149	+	15.8291i	−1.22638	+	0.507981i	−0.899431	−	0.437062i	$-0.856019\pi$
$971$	−38.2149	+	15.8291i	−1.22638	+	0.507981i	−0.326944	+	0.945044i	$0.606019\pi$
$972$	18.2021	−	7.17657i	0.583833	−	0.230189i
$973$	−28.3195	−	11.7303i	−0.907882	−	0.376057i
$974$	−3.84697	−	1.63223i	−0.123265	−	0.0523001i
$975$	2.59131	−	1.29310i	0.0829884	−	0.0414125i
$976$	18.1735	−	39.9442i	0.581719	−	1.27858i
$977$	55.5668			1.77774			0.888871	−	0.458159i	$-0.151491\pi$
$977$	55.5668			1.77774			0.888871	+	0.458159i	$0.151491\pi$
$978$	1.78774	+	0.758523i	0.0571658	+	0.0242549i
$979$	−20.4692	+	49.4169i	−0.654197	+	1.57937i
$980$	9.72295	−	6.75205i	0.310588	−	0.215686i
$981$	6.59626	−	2.73226i	0.210602	−	0.0872344i
$982$	3.94126	−	3.87428i	0.125771	−	0.123633i
$983$	−32.0528	+	32.0528i	−1.02233	+	1.02233i	−0.0225803	+	0.999745i	$0.507188\pi$
$983$	−32.0528	+	32.0528i	−1.02233	+	1.02233i	−0.999745	+	0.0225803i	$0.992812\pi$
$984$	−1.22700	+	47.7122i	−0.0391153	+	1.52101i
$985$	−12.4618	−	52.8822i	−0.397066	−	1.68497i
$986$	26.1141	+	0.223812i	0.831641	+	0.00712763i
$987$	−32.5977	+	13.5024i	−1.03760	+	0.429786i
$988$	0.0740433	−	4.31931i	0.00235563	−	0.137416i
$989$	6.17683	+	2.55853i	0.196412	+	0.0813564i
$990$	2.33994	−	13.6446i	0.0743681	−	0.433654i
$991$	−23.8639			−0.758063			−0.379032	−	0.925384i	$-0.623743\pi$
$991$	−23.8639			−0.758063			−0.379032	+	0.925384i	$0.623743\pi$
$992$	−3.94638	−	10.8163i	−0.125298	−	0.343417i
$993$		−	17.3515i		−	0.550633i
$994$	−7.73843	+	3.12794i	−0.245448	+	0.0992122i
$995$	6.48238	+	9.00130i	0.205505	+	0.285360i
$996$	−0.240257	+	14.0154i	−0.00761283	+	0.444094i
$997$	46.4435	−	19.2375i	1.47088	−	0.609259i	0.503822	−	0.863808i	$-0.331927\pi$
$997$	46.4435	−	19.2375i	1.47088	−	0.609259i	0.967060	+	0.254549i	$0.0819269\pi$
$998$	0.194405	−	22.6828i	0.00615377	−	0.718013i
$999$	−0.500645	+	0.500645i	−0.0158397	+	0.0158397i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	160.2.z.a.29.20	yes	88
4.3	odd	2		640.2.z.a.209.18		88
5.2	odd	4		800.2.y.f.701.14		88
5.3	odd	4		800.2.y.f.701.9		88
5.4	even	2	inner	160.2.z.a.29.3	✓	88
20.19	odd	2		640.2.z.a.209.5		88
32.11	odd	8		640.2.z.a.49.5		88
32.21	even	8	inner	160.2.z.a.149.3	yes	88
160.53	odd	8		800.2.y.f.501.9		88
160.117	odd	8		800.2.y.f.501.14		88
160.139	odd	8		640.2.z.a.49.18		88
160.149	even	8	inner	160.2.z.a.149.20	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
160.2.z.a.29.3	✓	88	5.4	even	2	inner
160.2.z.a.29.20	yes	88	1.1	even	1	trivial
160.2.z.a.149.3	yes	88	32.21	even	8	inner
160.2.z.a.149.20	yes	88	160.149	even	8	inner
640.2.z.a.49.5		88	32.11	odd	8
640.2.z.a.49.18		88	160.139	odd	8
640.2.z.a.209.5		88	20.19	odd	2
640.2.z.a.209.18		88	4.3	odd	2
800.2.y.f.501.9		88	160.53	odd	8
800.2.y.f.501.14		88	160.117	odd	8
800.2.y.f.701.9		88	5.3	odd	4
800.2.y.f.701.14		88	5.2	odd	4

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:	\( N \)	\(=\)	\( 160 = 2^{5} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	160.z (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.31115 - 0.529979i) q^{2} +(-0.763124 + 1.84234i) q^{3} +(1.43825 - 1.38977i) q^{4} +(0.359048 - 2.20705i) q^{5} +(-0.0241693 + 2.82004i) q^{6} +(2.19624 + 2.19624i) q^{7} +(1.14921 - 2.58444i) q^{8} +(-0.690555 - 0.690555i) q^{9} +O(q^{10})\)	\(q+(1.31115 - 0.529979i) q^{2} +(-0.763124 + 1.84234i) q^{3} +(1.43825 - 1.38977i) q^{4} +(0.359048 - 2.20705i) q^{5} +(-0.0241693 + 2.82004i) q^{6} +(2.19624 + 2.19624i) q^{7} +(1.14921 - 2.58444i) q^{8} +(-0.690555 - 0.690555i) q^{9} +(-0.698924 - 3.08407i) q^{10} +(-4.14149 + 1.71546i) q^{11} +(1.46287 + 3.71031i) q^{12} +(0.268345 + 0.111152i) q^{13} +(4.04357 + 1.71565i) q^{14} +(3.79215 + 2.34575i) q^{15} +(0.137099 - 3.99765i) q^{16} -3.30238 q^{17} +(-1.27140 - 0.539444i) q^{18} +(2.84584 - 6.87046i) q^{19} +(-2.55089 - 3.67328i) q^{20} +(-5.72223 + 2.37023i) q^{21} +(-4.52098 + 4.44414i) q^{22} +(-4.78351 + 4.78351i) q^{23} +(3.88443 + 4.08949i) q^{24} +(-4.74217 - 1.58488i) q^{25} +(0.410750 + 0.00352035i) q^{26} +(-3.72781 + 1.54411i) q^{27} +(6.21099 + 0.106471i) q^{28} +(-5.16612 - 2.13988i) q^{29} +(6.21529 + 1.06587i) q^{30} +2.03536 q^{31} +(-1.93891 - 5.31419i) q^{32} -8.93917i q^{33} +(-4.32992 + 1.75019i) q^{34} +(5.63577 - 4.05866i) q^{35} +(-1.95290 - 0.0334773i) q^{36} +(0.162114 - 0.0671500i) q^{37} +(0.0901319 - 10.5165i) q^{38} +(-0.409561 + 0.409561i) q^{39} +(-5.29137 - 3.46431i) q^{40} +(5.98352 + 5.98352i) q^{41} +(-6.24656 + 6.14039i) q^{42} +(-0.378206 - 0.913070i) q^{43} +(-3.57239 + 8.22297i) q^{44} +(-1.77203 + 1.27615i) q^{45} +(-3.73675 + 8.80706i) q^{46} +5.69667 q^{47} +(7.26043 + 3.30329i) q^{48} +2.64694i q^{49} +(-7.05766 + 0.435233i) q^{50} +(2.52012 - 6.08411i) q^{51} +(0.540421 - 0.213073i) q^{52} +(1.10924 + 2.67794i) q^{53} +(-4.06939 + 4.00023i) q^{54} +(2.29912 + 9.75643i) q^{55} +(8.19999 - 3.15209i) q^{56} +(10.4860 + 10.4860i) q^{57} +(-7.90766 - 0.0677731i) q^{58} +(-0.616504 - 1.48837i) q^{59} +(8.71409 - 1.89645i) q^{60} +(10.1359 + 4.19843i) q^{61} +(2.66867 - 1.07870i) q^{62} -3.03325i q^{63} +(-5.35862 - 5.94014i) q^{64} +(0.341667 - 0.552343i) q^{65} +(-4.73757 - 11.7206i) q^{66} +(-3.25008 + 7.84638i) q^{67} +(-4.74963 + 4.58953i) q^{68} +(-5.16246 - 12.4633i) q^{69} +(5.23836 - 8.30837i) q^{70} +(-1.34366 + 1.34366i) q^{71} +(-2.57829 + 0.991100i) q^{72} +(6.43600 - 6.43600i) q^{73} +(0.176969 - 0.173961i) q^{74} +(6.53875 - 7.52725i) q^{75} +(-5.45532 - 13.8365i) q^{76} +(-12.8633 - 5.32815i) q^{77} +(-0.319939 + 0.754056i) q^{78} +4.47776i q^{79} +(-8.77380 - 1.73793i) q^{80} -10.9760i q^{81} +(11.0165 + 4.67418i) q^{82} +(3.24712 + 1.34500i) q^{83} +(-4.93591 + 11.3615i) q^{84} +(-1.18571 + 7.28852i) q^{85} +(-0.979794 - 0.996734i) q^{86} +(7.88478 - 7.88478i) q^{87} +(-0.325956 + 12.6749i) q^{88} +(8.43730 - 8.43730i) q^{89} +(-1.64708 + 2.61237i) q^{90} +(0.345233 + 0.833467i) q^{91} +(-0.231899 + 13.5278i) q^{92} +(-1.55323 + 3.74983i) q^{93} +(7.46921 - 3.01912i) q^{94} +(-14.1417 - 8.74774i) q^{95} +(11.2702 + 0.483244i) q^{96} -9.25957i q^{97} +(1.40282 + 3.47055i) q^{98} +(4.04455 + 1.67531i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 8 q^{4} - 4 q^{5} - 8 q^{6} - 8 q^{9}+O(q^{10}) \) 88 * q - 8 * q^4 - 4 * q^5 - 8 * q^6 - 8 * q^9	\( 88 q - 8 q^{4} - 4 q^{5} - 8 q^{6} - 8 q^{9} - 4 q^{10} - 8 q^{11} - 24 q^{14} - 8 q^{16} - 8 q^{19} - 4 q^{20} - 8 q^{21} - 16 q^{24} - 4 q^{25} + 32 q^{26} - 8 q^{29} - 52 q^{30} - 64 q^{31} - 24 q^{34} + 20 q^{35} + 72 q^{36} - 8 q^{39} - 56 q^{40} - 8 q^{41} - 8 q^{44} - 16 q^{45} - 8 q^{46} - 44 q^{50} - 48 q^{51} + 24 q^{54} + 28 q^{55} - 56 q^{56} + 24 q^{59} + 32 q^{60} + 24 q^{61} + 64 q^{64} - 8 q^{65} - 8 q^{66} - 40 q^{69} + 80 q^{70} - 40 q^{71} + 128 q^{74} + 28 q^{75} - 8 q^{76} + 48 q^{80} + 200 q^{84} - 24 q^{85} + 24 q^{86} - 8 q^{89} + 80 q^{90} - 8 q^{91} + 120 q^{94} - 8 q^{95} - 56 q^{96} - 48 q^{99}+O(q^{100}) \) 88 * q - 8 * q^4 - 4 * q^5 - 8 * q^6 - 8 * q^9 - 4 * q^10 - 8 * q^11 - 24 * q^14 - 8 * q^16 - 8 * q^19 - 4 * q^20 - 8 * q^21 - 16 * q^24 - 4 * q^25 + 32 * q^26 - 8 * q^29 - 52 * q^30 - 64 * q^31 - 24 * q^34 + 20 * q^35 + 72 * q^36 - 8 * q^39 - 56 * q^40 - 8 * q^41 - 8 * q^44 - 16 * q^45 - 8 * q^46 - 44 * q^50 - 48 * q^51 + 24 * q^54 + 28 * q^55 - 56 * q^56 + 24 * q^59 + 32 * q^60 + 24 * q^61 + 64 * q^64 - 8 * q^65 - 8 * q^66 - 40 * q^69 + 80 * q^70 - 40 * q^71 + 128 * q^74 + 28 * q^75 - 8 * q^76 + 48 * q^80 + 200 * q^84 - 24 * q^85 + 24 * q^86 - 8 * q^89 + 80 * q^90 - 8 * q^91 + 120 * q^94 - 8 * q^95 - 56 * q^96 - 48 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more