LMFDB - Embedded newform 483.2.u.a.113.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(113,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 13]))

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

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

chi := DirichletCharacter("483.113");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.u (of order $22$, degree $10$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$48$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			113.14
Character	$\chi$	$=$	483.113
Dual form			483.2.u.a.218.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.732726 + 1.14014i) q^{2} +(1.28310 + 1.16347i) q^{3} +(0.0677890 + 0.148437i) q^{4} +(3.54035 + 1.03954i) q^{5} +(-2.26668 + 0.610418i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-2.90190 - 0.417231i) q^{8} +(0.292696 + 2.98569i) q^{9} +O(q^{10})$	\(q+(-0.732726 + 1.14014i) q^{2} +(1.28310 + 1.16347i) q^{3} +(0.0677890 + 0.148437i) q^{4} +(3.54035 + 1.03954i) q^{5} +(-2.26668 + 0.610418i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-2.90190 - 0.417231i) q^{8} +(0.292696 + 2.98569i) q^{9} +(-3.77934 + 3.27481i) q^{10} +(-3.70108 + 2.37854i) q^{11} +(-0.0857214 + 0.269330i) q^{12} +(-3.39543 - 3.91853i) q^{13} +(1.30039 - 0.381830i) q^{14} +(3.33316 + 5.45292i) q^{15} +(2.38828 - 2.75622i) q^{16} +(-1.20694 + 2.64283i) q^{17} +(-3.61858 - 1.85398i) q^{18} +(3.24002 - 1.47967i) q^{19} +(0.0856903 + 0.595989i) q^{20} +(-0.207795 - 1.71954i) q^{21} -5.96258i q^{22} +(4.65641 + 1.14797i) q^{23} +(-3.23800 - 3.91162i) q^{24} +(7.24719 + 4.65749i) q^{25} +(6.95561 - 1.00007i) q^{26} +(-3.09819 + 4.17148i) q^{27} +(0.0459742 - 0.156574i) q^{28} +(8.03007 + 3.66721i) q^{29} +(-8.65941 - 0.195211i) q^{30} +(-0.230867 + 1.60572i) q^{31} +(-0.259401 - 0.883440i) q^{32} +(-7.51620 - 1.25417i) q^{33} +(-2.12885 - 3.31256i) q^{34} +(-1.99487 - 3.10407i) q^{35} +(-0.423345 + 0.245844i) q^{36} +(-1.89958 - 6.46938i) q^{37} +(-0.687013 + 4.77828i) q^{38} +(0.202401 - 8.97834i) q^{39} +(-9.84004 - 4.49380i) q^{40} +(2.13004 - 7.25425i) q^{41} +(2.11278 + 1.02304i) q^{42} +(5.85354 - 0.841611i) q^{43} +(-0.603955 - 0.388138i) q^{44} +(-2.06750 + 10.8747i) q^{45} +(-4.72072 + 4.46783i) q^{46} +7.85531i q^{47} +(6.27117 - 0.757829i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-10.6204 + 4.85018i) q^{50} +(-4.62347 + 1.98679i) q^{51} +(0.351483 - 0.769641i) q^{52} +(2.45889 - 2.83771i) q^{53} +(-2.48597 - 6.58893i) q^{54} +(-15.5757 + 4.57344i) q^{55} +(1.91988 + 2.21567i) q^{56} +(5.87882 + 1.87109i) q^{57} +(-10.0650 + 6.46838i) q^{58} +(1.56632 - 1.35723i) q^{59} +(-0.583464 + 0.864412i) q^{60} +(1.50764 + 0.216766i) q^{61} +(-1.66158 - 1.43977i) q^{62} +(1.73400 - 2.44811i) q^{63} +(8.19587 + 2.40652i) q^{64} +(-7.94754 - 17.4027i) q^{65} +(6.93725 - 7.65059i) q^{66} +(-3.13542 + 4.87882i) q^{67} -0.474112 q^{68} +(4.63902 + 6.89053i) q^{69} +5.00078 q^{70} +(2.11058 - 3.28412i) q^{71} +(0.396346 - 8.78630i) q^{72} +(-3.68553 - 8.07019i) q^{73} +(8.76790 + 2.57449i) q^{74} +(3.88005 + 14.4079i) q^{75} +(0.439275 + 0.380634i) q^{76} +(4.35470 + 0.626111i) q^{77} +(10.0883 + 6.80943i) q^{78} +(1.26576 - 1.09679i) q^{79} +(11.3206 - 7.27528i) q^{80} +(-8.82866 + 1.74780i) q^{81} +(6.71016 + 7.74393i) q^{82} +(-3.17441 + 0.932092i) q^{83} +(0.241157 - 0.147410i) q^{84} +(-7.02034 + 8.10190i) q^{85} +(-3.32948 + 7.29054i) q^{86} +(6.03672 + 14.0481i) q^{87} +(11.7326 - 5.35808i) q^{88} +(-1.67804 - 11.6710i) q^{89} +(-10.8838 - 10.3254i) q^{90} +5.18496i q^{91} +(0.145252 + 0.769004i) q^{92} +(-2.16442 + 1.79169i) q^{93} +(-8.95619 - 5.75579i) q^{94} +(13.0090 - 1.87041i) q^{95} +(0.695014 - 1.43535i) q^{96} +(4.40231 - 14.9929i) q^{97} +(-1.23282 - 0.563009i) q^{98} +(-8.18486 - 10.3541i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q + 4 q^{3} + 40 q^{4} - 6 q^{6} - 4 q^{9}+O(q^{10}) $ 480 * q + 4 * q^3 + 40 * q^4 - 6 * q^6 - 4 * q^9	$ 480 q + 4 q^{3} + 40 q^{4} - 6 q^{6} - 4 q^{9} - 22 q^{12} + 8 q^{13} - 22 q^{15} - 24 q^{16} - 30 q^{18} - 120 q^{24} - 88 q^{25} + 16 q^{27} - 44 q^{30} + 8 q^{31} - 22 q^{33} - 44 q^{34} + 10 q^{36} - 44 q^{37} - 308 q^{40} - 44 q^{43} - 184 q^{46} + 98 q^{48} + 48 q^{49} - 28 q^{52} + 28 q^{54} - 44 q^{55} + 66 q^{57} + 4 q^{58} + 220 q^{60} + 84 q^{64} + 176 q^{66} + 44 q^{67} + 102 q^{69} - 8 q^{70} - 60 q^{72} + 4 q^{73} - 8 q^{75} + 176 q^{76} + 18 q^{78} - 16 q^{81} + 20 q^{82} - 154 q^{84} + 84 q^{85} + 28 q^{87} - 418 q^{90} - 188 q^{93} + 12 q^{94} - 412 q^{96} - 132 q^{97}+O(q^{100}) $ 480 * q + 4 * q^3 + 40 * q^4 - 6 * q^6 - 4 * q^9 - 22 * q^12 + 8 * q^13 - 22 * q^15 - 24 * q^16 - 30 * q^18 - 120 * q^24 - 88 * q^25 + 16 * q^27 - 44 * q^30 + 8 * q^31 - 22 * q^33 - 44 * q^34 + 10 * q^36 - 44 * q^37 - 308 * q^40 - 44 * q^43 - 184 * q^46 + 98 * q^48 + 48 * q^49 - 28 * q^52 + 28 * q^54 - 44 * q^55 + 66 * q^57 + 4 * q^58 + 220 * q^60 + 84 * q^64 + 176 * q^66 + 44 * q^67 + 102 * q^69 - 8 * q^70 - 60 * q^72 + 4 * q^73 - 8 * q^75 + 176 * q^76 + 18 * q^78 - 16 * q^81 + 20 * q^82 - 154 * q^84 + 84 * q^85 + 28 * q^87 - 418 * q^90 - 188 * q^93 + 12 * q^94 - 412 * q^96 - 132 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$1$	$e\left(\frac{13}{22}\right)$

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 $

$2$	−0.732726	+	1.14014i	−0.518116	+	0.806204i	−0.997446	−	0.0714311i	$-0.977243\pi$
$2$	−0.732726	+	1.14014i	−0.518116	+	0.806204i	0.479330	+	0.877635i	$0.340880\pi$
$3$	1.28310	+	1.16347i	0.740799	+	0.671727i
$3$	1.28310	+	1.16347i	0.740799	+	0.671727i
$4$	0.0677890	+	0.148437i	0.0338945	+	0.0742185i
$5$	3.54035	+	1.03954i	1.58329	+	0.464897i	0.950835	−	0.309697i	$-0.100227\pi$
$5$	3.54035	+	1.03954i	1.58329	+	0.464897i	0.632459	+	0.774594i	$0.282046\pi$
$6$	−2.26668	+	0.610418i	−0.925368	+	0.249202i
$7$	−0.755750	−	0.654861i	−0.285646	−	0.247514i
$7$	−0.755750	−	0.654861i	−0.285646	−	0.247514i
$8$	−2.90190	−	0.417231i	−1.02598	−	0.147513i
$9$	0.292696	+	2.98569i	0.0975653	+	0.995229i
$10$	−3.77934	+	3.27481i	−1.19513	+	1.03559i
$11$	−3.70108	+	2.37854i	−1.11592	+	0.717156i	−0.962574	−	0.271017i	$-0.912640\pi$
$11$	−3.70108	+	2.37854i	−1.11592	+	0.717156i	−0.153342	+	0.988173i	$0.549004\pi$
$12$	−0.0857214	+	0.269330i	−0.0247456	+	0.0777488i
$13$	−3.39543	−	3.91853i	−0.941722	−	1.08681i	−0.996095	−	0.0882849i	$-0.971861\pi$
$13$	−3.39543	−	3.91853i	−0.941722	−	1.08681i	0.0543729	−	0.998521i	$-0.482684\pi$
$14$	1.30039	−	0.381830i	0.347545	−	0.102048i
$15$	3.33316	+	5.45292i	0.860618	+	1.40794i
$16$	2.38828	−	2.75622i	0.597070	−	0.689055i
$17$	−1.20694	+	2.64283i	−0.292726	+	0.640981i	−0.997666	−	0.0682862i	$-0.978247\pi$
$17$	−1.20694	+	2.64283i	−0.292726	+	0.640981i	0.704939	+	0.709268i	$0.250974\pi$
$18$	−3.61858	−	1.85398i	−0.852907	−	0.436986i
$19$	3.24002	−	1.47967i	0.743312	−	0.339459i	−0.00750314	−	0.999972i	$-0.502388\pi$
$19$	3.24002	−	1.47967i	0.743312	−	0.339459i	0.750815	+	0.660513i	$0.229661\pi$
$20$	0.0856903	+	0.595989i	0.0191609	+	0.133267i
$21$	−0.207795	−	1.71954i	−0.0453446	−	0.375235i
$22$		−	5.96258i		−	1.27123i
$23$	4.65641	+	1.14797i	0.970929	+	0.239368i
$23$	4.65641	+	1.14797i	0.970929	+	0.239368i
$24$	−3.23800	−	3.91162i	−0.660955	−	0.798455i
$25$	7.24719	+	4.65749i	1.44944	+	0.931498i
$26$	6.95561	−	1.00007i	1.36411	−	0.196129i
$27$	−3.09819	+	4.17148i	−0.596246	+	0.802802i
$28$	0.0459742	−	0.156574i	0.00868830	−	0.0295896i
$29$	8.03007	+	3.66721i	1.49115	+	0.680984i	0.983554	−	0.180613i	$-0.0578082\pi$
$29$	8.03007	+	3.66721i	1.49115	+	0.680984i	0.507593	+	0.861597i	$0.330535\pi$
$30$	−8.65941	−	0.195211i	−1.58098	−	0.0356406i
$31$	−0.230867	+	1.60572i	−0.0414649	+	0.288395i	0.958529	+	0.284994i	$0.0919916\pi$
$31$	−0.230867	+	1.60572i	−0.0414649	+	0.288395i	−0.999994	+	0.00340092i	$0.998917\pi$
$32$	−0.259401	−	0.883440i	−0.0458561	−	0.156172i
$33$	−7.51620	−	1.25417i	−1.30840	−	0.218323i
$34$	−2.12885	−	3.31256i	−0.365095	−	0.568100i
$35$	−1.99487	−	3.10407i	−0.337194	−	0.524684i
$36$	−0.423345	+	0.245844i	−0.0705575	+	0.0409739i
$37$	−1.89958	−	6.46938i	−0.312289	−	1.06356i	−0.954792	−	0.297276i	$-0.903922\pi$
$37$	−1.89958	−	6.46938i	−0.312289	−	1.06356i	0.642502	−	0.766284i	$-0.277896\pi$
$38$	−0.687013	+	4.77828i	−0.111448	+	0.775140i
$39$	0.202401	−	8.97834i	0.0324101	−	1.43768i
$40$	−9.84004	−	4.49380i	−1.55585	−	0.710532i
$41$	2.13004	−	7.25425i	0.332656	−	1.13292i	−0.608105	−	0.793856i	$-0.708070\pi$
$41$	2.13004	−	7.25425i	0.332656	−	1.13292i	0.940762	−	0.339068i	$-0.110112\pi$
$42$	2.11278	+	1.02304i	0.326009	+	0.157858i
$43$	5.85354	−	0.841611i	0.892656	−	0.128345i	0.319303	−	0.947653i	$-0.396551\pi$
$43$	5.85354	−	0.841611i	0.892656	−	0.128345i	0.573353	+	0.819308i	$0.305642\pi$
$44$	−0.603955	−	0.388138i	−0.0910497	−	0.0585141i
$45$	−2.06750	+	10.8747i	−0.308205	+	1.62110i
$46$	−4.72072	+	4.46783i	−0.696033	+	0.658746i
$47$			7.85531i			1.14581i	0.819620	+	0.572907i	$0.194185\pi$
$47$			7.85531i			1.14581i	−0.819620	+	0.572907i	$0.805815\pi$
$48$	6.27117	−	0.757829i	0.905166	−	0.109383i
$49$	0.142315	+	0.989821i	0.0203307	+	0.141403i
$50$	−10.6204	+	4.85018i	−1.50195	+	0.685919i
$51$	−4.62347	+	1.98679i	−0.647416	+	0.278206i
$52$	0.351483	−	0.769641i	0.0487419	−	0.106730i
$53$	2.45889	−	2.83771i	0.337754	−	0.389789i	−0.561310	−	0.827606i	$-0.689703\pi$
$53$	2.45889	−	2.83771i	0.337754	−	0.389789i	0.899064	+	0.437816i	$0.144248\pi$
$54$	−2.48597	−	6.58893i	−0.338297	−	0.896640i
$55$	−15.5757	+	4.57344i	−2.10023	+	0.616683i
$56$	1.91988	+	2.21567i	0.256555	+	0.296081i
$57$	5.87882	+	1.87109i	0.778668	+	0.247832i
$58$	−10.0650	+	6.46838i	−1.32160	+	0.849340i
$59$	1.56632	−	1.35723i	0.203918	−	0.176696i	−0.546915	−	0.837188i	$-0.684198\pi$
$59$	1.56632	−	1.35723i	0.203918	−	0.176696i	0.750833	+	0.660492i	$0.229652\pi$
$60$	−0.583464	+	0.864412i	−0.0753248	+	0.111595i
$61$	1.50764	+	0.216766i	0.193034	+	0.0277540i	0.238153	−	0.971228i	$-0.423458\pi$
$61$	1.50764	+	0.216766i	0.193034	+	0.0277540i	−0.0451198	+	0.998982i	$0.514367\pi$
$62$	−1.66158	−	1.43977i	−0.211021	−	0.182851i
$63$	1.73400	−	2.44811i	0.218464	−	0.308432i
$64$	8.19587	+	2.40652i	1.02448	+	0.300815i
$65$	−7.94754	−	17.4027i	−0.985771	−	2.15854i
$66$	6.93725	−	7.65059i	0.853917	−	0.941722i
$67$	−3.13542	+	4.87882i	−0.383053	+	0.596042i	−0.978223	−	0.207558i	$-0.933448\pi$
$67$	−3.13542	+	4.87882i	−0.383053	+	0.596042i	0.595170	+	0.803600i	$0.297085\pi$
$68$	−0.474112			−0.0574945
$69$	4.63902	+	6.89053i	0.558473	+	0.829523i
$70$	5.00078			0.597708
$71$	2.11058	−	3.28412i	0.250479	−	0.389753i	−0.693131	−	0.720812i	$-0.743769\pi$
$71$	2.11058	−	3.28412i	0.250479	−	0.389753i	0.943610	+	0.331058i	$0.107406\pi$
$72$	0.396346	−	8.78630i	0.0467098	−	1.03548i
$73$	−3.68553	−	8.07019i	−0.431359	−	0.944544i	−0.993104	−	0.117234i	$-0.962597\pi$
$73$	−3.68553	−	8.07019i	−0.431359	−	0.944544i	0.561746	−	0.827310i	$-0.310130\pi$
$74$	8.76790	+	2.57449i	1.01925	+	0.299278i
$75$	3.88005	+	14.4079i	0.448030	+	1.66368i
$76$	0.439275	+	0.380634i	0.0503883	+	0.0436617i
$77$	4.35470	+	0.626111i	0.496264	+	0.0713520i
$78$	10.0883	+	6.80943i	1.14227	+	0.771016i
$79$	1.26576	−	1.09679i	0.142409	−	0.123398i	−0.580743	−	0.814087i	$-0.697238\pi$
$79$	1.26576	−	1.09679i	0.142409	−	0.123398i	0.723152	+	0.690689i	$0.242692\pi$
$80$	11.3206	−	7.27528i	1.26568	−	0.813401i
$81$	−8.82866	+	1.74780i	−0.980962	+	0.194200i
$82$	6.71016	+	7.74393i	0.741013	+	0.855175i
$83$	−3.17441	+	0.932092i	−0.348437	+	0.102310i	−0.451268	−	0.892388i	$-0.649028\pi$
$83$	−3.17441	+	0.932092i	−0.348437	+	0.102310i	0.102831	+	0.994699i	$0.467210\pi$
$84$	0.241157	−	0.147410i	0.0263124	−	0.0160838i
$85$	−7.02034	+	8.10190i	−0.761463	+	0.878775i
$86$	−3.32948	+	7.29054i	−0.359027	+	0.786160i
$87$	6.03672	+	14.0481i	0.647204	+	1.50612i
$88$	11.7326	−	5.35808i	1.25070	−	0.571174i
$89$	−1.67804	−	11.6710i	−0.177872	−	1.23713i	−0.861675	−	0.507461i	$-0.830584\pi$
$89$	−1.67804	−	11.6710i	−0.177872	−	1.23713i	0.683803	−	0.729667i	$-0.260325\pi$
$90$	−10.8838	−	10.3254i	−1.14725	−	1.08839i
$91$			5.18496i			0.543532i
$92$	0.145252	+	0.769004i	0.0151436	+	0.0801742i
$93$	−2.16442	+	1.79169i	−0.224440	+	0.185790i
$94$	−8.95619	−	5.75579i	−0.923760	−	0.593665i
$95$	13.0090	−	1.87041i	1.33469	−	0.191900i
$96$	0.695014	−	1.43535i	0.0709345	−	0.146494i
$97$	4.40231	−	14.9929i	0.446987	−	1.52230i	−0.360698	−	0.932682i	$-0.617462\pi$
$97$	4.40231	−	14.9929i	0.446987	−	1.52230i	0.807685	−	0.589614i	$-0.200720\pi$
$98$	−1.23282	−	0.563009i	−0.124533	−	0.0568725i
$99$	−8.18486	−	10.3541i	−0.822609	−	1.04062i
$100$	−0.200064	+	1.39148i	−0.0200064	+	0.139148i
$101$	1.59669	+	5.43782i	0.158877	+	0.541084i	1.00000		0.000240574i	$7.65772e-5\pi$
$101$	1.59669	+	5.43782i	0.158877	+	0.541084i	−0.841123	+	0.540843i	$0.818105\pi$
$102$	1.12252	−	6.72720i	0.111146	−	0.666092i
$103$	0.322301	+	0.501509i	0.0317572	+	0.0494152i	0.856769	−	0.515700i	$-0.172468\pi$
$103$	0.322301	+	0.501509i	0.0317572	+	0.0494152i	−0.825012	+	0.565115i	$0.808832\pi$
$104$	8.21828	+	12.7879i	0.805868	+	1.25396i
$105$	1.05187	−	6.30380i	0.102652	−	0.615187i
$106$	1.43370	+	4.88275i	0.139254	+	0.474255i
$107$	−0.793426	+	5.51840i	−0.0767034	+	0.533484i	0.914851	+	0.403792i	$0.132308\pi$
$107$	−0.793426	+	5.51840i	−0.0767034	+	0.533484i	−0.991554	+	0.129692i	$0.958601\pi$
$108$	−0.829225	−	0.177106i	−0.0797922	−	0.0170420i
$109$	2.30713	+	1.05363i	0.220983	+	0.100920i	0.522831	−	0.852437i	$-0.324876\pi$
$109$	2.30713	+	1.05363i	0.220983	+	0.100920i	−0.301847	+	0.953356i	$0.597603\pi$
$110$	6.19835	−	21.1096i	0.590989	−	2.01272i
$111$	5.08955	−	10.5110i	0.483078	−	0.997656i
$112$	−3.60988	+	0.519023i	−0.341102	+	0.0490430i
$113$	−7.06416	−	4.53986i	−0.664541	−	0.427074i	0.164413	−	0.986392i	$-0.447427\pi$
$113$	−7.06416	−	4.53986i	−0.664541	−	0.427074i	−0.828954	+	0.559317i	$0.811063\pi$
$114$	−6.44087	+	5.33170i	−0.603243	+	0.499360i
$115$	15.2920	+	8.90475i	1.42598	+	0.830372i
$116$			1.44056i			0.133752i
$117$	10.7057	−	11.2846i	0.989741	−	1.04326i
$118$	0.399748	+	2.78031i	0.0367998	+	0.255948i
$119$	2.64283	−	1.20694i	0.242268	−	0.110640i
$120$	−7.39739	−	17.2145i	−0.675286	−	1.57147i
$121$	3.47096	−	7.60034i	0.315542	−	0.690940i
$122$	−1.35183	+	1.56010i	−0.122389	+	0.141245i
$123$	11.1731	−	6.82971i	1.00745	−	0.615814i
$124$	−0.253998	+	0.0745805i	−0.0228097	+	0.00669753i
$125$	8.73439	+	10.0800i	0.781228	+	0.901585i
$126$	1.52064	+	3.77081i	0.135470	+	0.335930i
$127$	0.705141	−	0.453167i	0.0625712	−	0.0402121i	−0.508981	−	0.860778i	$-0.669978\pi$
$127$	0.705141	−	0.453167i	0.0625712	−	0.0402121i	0.571552	+	0.820566i	$0.306341\pi$
$128$	−7.35742	+	6.37524i	−0.650310	+	0.563497i
$129$	8.48986	+	5.73051i	0.747491	+	0.504544i
$130$	25.6649	+	3.69006i	2.25096	+	0.323640i
$131$	−7.26531	−	6.29543i	−0.634773	−	0.550034i	0.276927	−	0.960891i	$-0.410684\pi$
$131$	−7.26531	−	6.29543i	−0.634773	−	0.550034i	−0.911700	+	0.410857i	$0.865230\pi$
$132$	−0.323350	−	1.20070i	−0.0281440	−	0.104508i
$133$	−3.41762	−	1.00350i	−0.296345	−	0.0870148i
$134$	−3.26515	−	7.14967i	−0.282066	−	0.617638i
$135$	−15.3051	+	11.5478i	−1.31725	+	0.993878i
$136$	4.60510	−	7.16568i	0.394884	−	0.614452i
$137$	7.76463			0.663377			0.331688	−	0.943389i	$-0.392382\pi$
$137$	7.76463			0.663377			0.331688	+	0.943389i	$0.392382\pi$
$138$	−11.2553	+	0.240282i	−0.958118	+	0.0204542i
$139$	−5.13130			−0.435231			−0.217616	−	0.976035i	$-0.569828\pi$
$139$	−5.13130			−0.435231			−0.217616	+	0.976035i	$0.569828\pi$
$140$	0.325530	−	0.506534i	0.0275123	−	0.0428099i
$141$	−9.13938	+	10.0792i	−0.769675	+	0.848818i
$142$	2.19790	+	4.81272i	0.184443	+	0.403875i
$143$	21.8871	+	6.42664i	1.83029	+	0.537422i
$144$	8.92826	+	6.32392i	0.744021	+	0.526993i
$145$	24.6171	+	21.3308i	2.04434	+	1.77143i
$146$	11.9017	+	1.71120i	0.984988	+	0.141620i
$147$	−0.969019	+	1.43562i	−0.0799233	+	0.118408i
$148$	0.831525	−	0.720521i	0.0683510	−	0.0592264i
$149$	−16.9275	+	10.8786i	−1.38675	+	0.891213i	−0.999526	−	0.0307716i	$-0.990204\pi$
$149$	−16.9275	+	10.8786i	−1.38675	+	0.891213i	−0.387227	+	0.921984i	$0.626567\pi$
$150$	−19.2701	−	6.13322i	−1.57340	−	0.500775i
$151$	5.71319	+	6.59338i	0.464933	+	0.536561i	0.938995	−	0.343930i	$-0.111758\pi$
$151$	5.71319	+	6.59338i	0.464933	+	0.536561i	−0.474062	+	0.880491i	$0.657213\pi$
$152$	−10.0196	+	2.94202i	−0.812696	+	0.238629i
$153$	−8.24394	−	2.83000i	−0.666483	−	0.228792i
$154$	−3.90466	+	4.50621i	−0.314646	+	0.363121i
$155$	−2.48656	+	5.44481i	−0.199725	+	0.437337i
$156$	1.34644	−	0.578588i	0.107801	−	0.0463241i
$157$	18.2517	−	8.33529i	1.45665	−	0.665229i	0.479452	−	0.877568i	$-0.340836\pi$
$157$	18.2517	−	8.33529i	1.45665	−	0.665229i	0.977196	+	0.212340i	$0.0681083\pi$
$158$	0.323040	+	2.24680i	0.0256997	+	0.178745i
$159$	6.45658	−	0.780234i	0.512040	−	0.0618766i
$160$		−	3.39735i		−	0.268584i
$161$	−2.76732	−	3.91688i	−0.218095	−	0.308693i
$162$	4.47625	−	11.3466i	0.351687	−	0.891473i
$163$	−10.4064	−	6.68777i	−0.815091	−	0.523827i	0.0654175	−	0.997858i	$-0.479162\pi$
$163$	−10.4064	−	6.68777i	−0.815091	−	0.523827i	−0.880508	+	0.474031i	$0.842798\pi$
$164$	1.22119	−	0.175581i	0.0953592	−	0.0137106i
$165$	−25.3062	−	12.2536i	−1.97009	−	0.953943i
$166$	1.26326	−	4.30226i	0.0980477	−	0.333920i
$167$	−8.12261	−	3.70947i	−0.628547	−	0.287048i	0.0755607	−	0.997141i	$-0.475925\pi$
$167$	−8.12261	−	3.70947i	−0.628547	−	0.287048i	−0.704107	+	0.710094i	$0.748653\pi$
$168$	−0.114444	+	5.07664i	−0.00882956	+	0.391671i
$169$	−1.97588	+	13.7425i	−0.151990	+	1.05712i
$170$	−4.09335	−	13.9407i	−0.313946	−	1.06920i
$171$	5.36617	+	9.24060i	0.410361	+	0.706646i
$172$	0.521731	+	0.811830i	0.0397816	+	0.0619014i
$173$	−9.30459	−	14.4782i	−0.707415	−	1.10076i	−0.989938	−	0.141499i	$-0.954808\pi$
$173$	−9.30459	−	14.4782i	−0.707415	−	1.10076i	0.282524	−	0.959260i	$-0.408828\pi$
$174$	−20.4401	−	3.41069i	−1.54956	−	0.258564i
$175$	−2.42706	−	8.26580i	−0.183468	−	0.624836i
$176$	−2.28343	+	15.8816i	−0.172120	+	1.19712i
$177$	3.58884	+	0.0809042i	0.269754	+	0.00608113i
$178$	14.5362	+	6.63847i	1.08954	+	0.497574i
$179$	−6.97190	+	23.7441i	−0.521105	+	1.77472i	0.104441	+	0.994531i	$0.466695\pi$
$179$	−6.97190	+	23.7441i	−0.521105	+	1.77472i	−0.625545	+	0.780188i	$0.715123\pi$
$180$	−1.75436	+	0.430288i	−0.130762	+	0.0320718i
$181$	25.0938	−	3.60795i	1.86521	−	0.268177i	0.884920	−	0.465743i	$-0.154213\pi$
$181$	25.0938	−	3.60795i	1.86521	−	0.268177i	0.980289	+	0.197567i	$0.0633038\pi$
$182$	−5.91160	−	3.79916i	−0.438197	−	0.281612i
$183$	1.68226	+	2.03222i	0.124356	+	0.150226i
$184$	−13.0335	−	5.27409i	−0.960842	−	0.388811i
$185$		−	24.8786i		−	1.82911i
$186$	−0.456857	−	3.78057i	−0.0334983	−	0.277205i
$187$	−1.81910	−	12.6521i	−0.133025	−	0.925212i
$188$	−1.16602	+	0.532503i	−0.0850407	+	0.0388368i
$189$	5.07319	−	1.12371i	0.369020	−	0.0817381i
$190$	−7.39949	+	16.2026i	−0.536816	+	1.17546i
$191$	−2.98536	+	3.44529i	−0.216013	+	0.249292i	−0.853406	−	0.521246i	$-0.825467\pi$
$191$	−2.98536	+	3.44529i	−0.216013	+	0.249292i	0.637393	+	0.770539i	$0.280013\pi$
$192$	7.71622	+	12.6234i	0.556870	+	0.911017i
$193$	−15.5842	+	4.57594i	−1.12178	+	0.329383i	−0.789470	−	0.613789i	$-0.789645\pi$
$193$	−15.5842	+	4.57594i	−1.12178	+	0.329383i	−0.332305	+	0.943172i	$0.607826\pi$
$194$	13.8684	+	16.0049i	0.995690	+	1.14909i
$195$	10.0499	−	31.5761i	0.719690	−	2.26121i
$196$	−0.137279	+	0.0882238i	−0.00980563	+	0.00630170i
$197$	5.94078	−	5.14772i	0.423263	−	0.366760i	−0.417029	−	0.908893i	$-0.636929\pi$
$197$	5.94078	−	5.14772i	0.423263	−	0.366760i	0.840292	+	0.542133i	$0.182383\pi$
$198$	17.8024	−	1.74522i	1.26516	−	0.124027i
$199$	−25.8541	−	3.71726i	−1.83275	−	0.263510i	−0.862579	−	0.505923i	$-0.831152\pi$
$199$	−25.8541	−	3.71726i	−1.83275	−	0.263510i	−0.970173	+	0.242413i	$0.922061\pi$
$200$	−19.0874	−	16.5393i	−1.34968	−	1.16951i
$201$	−9.69940	+	2.61205i	−0.684143	+	0.184240i
$202$	−7.36984	−	2.16398i	−0.518540	−	0.152257i
$203$	−3.66721	−	8.03007i	−0.257388	−	0.563601i
$204$	−0.608333	−	0.551613i	−0.0425919	−	0.0386206i
$205$	15.0822	−	23.4684i	1.05339	−	1.63910i
$206$	−0.807951			−0.0562926
$207$	−2.06456	+	14.2386i	−0.143497	+	0.989651i
$208$	−18.9096			−1.31114
$209$	−8.47212	+	13.1829i	−0.586029	+	0.911878i
$210$	6.41651	+	5.81824i	0.442781	+	0.401496i
$211$	−6.63429	−	14.5271i	−0.456723	−	1.00008i	−0.988222	−	0.153025i	$-0.951098\pi$
$211$	−6.63429	−	14.5271i	−0.456723	−	1.00008i	0.531499	−	0.847059i	$-0.321629\pi$
$212$	0.587907	+	0.172625i	0.0403776	+	0.0118559i
$213$	6.52904	−	1.75828i	0.447363	−	0.120475i
$214$	−5.71041	−	4.94810i	−0.390356	−	0.338245i
$215$	21.5985	+	3.10539i	1.47300	+	0.211786i
$216$	10.7311	−	10.8126i	0.730160	−	0.735703i
$217$	1.22600	−	1.06233i	0.0832261	−	0.0721159i
$218$	−2.89179	+	1.85844i	−0.195856	+	0.125869i
$219$	4.66048	−	14.6428i	0.314926	−	0.989472i
$220$	−1.73473	−	2.00198i	−0.116955	−	0.134974i
$221$	14.4541	−	4.24411i	0.972289	−	0.285490i
$222$	8.25477	+	13.5045i	0.554024	+	0.906361i
$223$	−16.0274	+	18.4966i	−1.07328	+	1.23863i	−0.103500	+	0.994629i	$0.533004\pi$
$223$	−16.0274	+	18.4966i	−1.07328	+	1.23863i	−0.969776	+	0.243998i	$0.921541\pi$
$224$	−0.382488	+	0.837531i	−0.0255560	+	0.0559599i
$225$	−11.7846	+	23.0011i	−0.785639	+	1.53341i
$226$	10.3522	−	4.72769i	0.688618	−	0.314481i
$227$	−1.26298	−	8.78424i	−0.0838271	−	0.583030i	−0.987834	−	0.155512i	$-0.950297\pi$
$227$	−1.26298	−	8.78424i	−0.0838271	−	0.583030i	0.904007	−	0.427518i	$-0.140612\pi$
$228$	0.120780	+	0.999473i	0.00799883	+	0.0661917i
$229$			18.8201i			1.24367i	0.783148	+	0.621835i	$0.213613\pi$
$229$			18.8201i			1.24367i	−0.783148	+	0.621835i	$0.786387\pi$
$230$	−21.3575	+	10.9103i	−1.40827	+	0.719406i
$231$	4.85906	+	5.86990i	0.319702	+	0.386211i
$232$	−21.7724	−	13.9923i	−1.42943	−	0.918639i
$233$	12.7377	−	1.83140i	0.834472	−	0.119979i	0.288183	−	0.957575i	$-0.406949\pi$
$233$	12.7377	−	1.83140i	0.834472	−	0.119979i	0.546289	+	0.837597i	$0.316040\pi$
$234$	5.02176	+	20.4746i	0.328283	+	1.33846i
$235$	−8.16592	+	27.8106i	−0.532686	+	1.81416i
$236$	0.307642	+	0.140495i	0.0200258	+	0.00914548i
$237$	2.90017	+	0.0653794i	0.188387	+	0.00424685i
$238$	−0.560386	+	3.89757i	−0.0363244	+	0.252642i
$239$	−6.24009	−	21.2518i	−0.403638	−	1.37466i	−0.871297	−	0.490755i	$-0.836721\pi$
$239$	−6.24009	−	21.2518i	−0.403638	−	1.37466i	0.467660	−	0.883909i	$-0.345097\pi$
$240$	22.9900	+	3.83616i	1.48400	+	0.247623i
$241$	5.07552	+	7.89767i	0.326943	+	0.508733i	0.965348	−	0.260968i	$-0.0840416\pi$
$241$	5.07552	+	7.89767i	0.326943	+	0.508733i	−0.638404	+	0.769701i	$0.720405\pi$
$242$	6.12222	+	9.52636i	0.393551	+	0.612378i
$243$	−13.3616	−	8.02924i	−0.857145	−	0.515076i
$244$	0.0700253	+	0.238484i	0.00448291	+	0.0152674i
$245$	−0.525116	+	3.65226i	−0.0335484	+	0.233334i
$246$	−0.399992	+	17.7433i	−0.0255025	+	1.13127i
$247$	−16.7994	−	7.67202i	−1.06892	−	0.488159i
$248$	1.33991	−	4.56331i	0.0850843	−	0.289770i
$249$	−5.15755	−	2.49735i	−0.326846	−	0.158263i
$250$	−17.8926	+	2.57257i	−1.13163	+	0.162703i
$251$	20.6843	+	13.2930i	1.30558	+	0.839045i	0.993808	−	0.111112i	$-0.0354412\pi$
$251$	20.6843	+	13.2930i	1.30558	+	0.839045i	0.311772	+	0.950157i	$0.399078\pi$
$252$	0.480936	+	0.0914360i	0.0302961	+	0.00575993i
$253$	−19.9642	+	6.82673i	−1.25514	+	0.429193i
$254$			1.13601i			0.0712796i
$255$	−18.4341	+	2.22764i	−1.15439	+	0.139500i
$256$	0.553552	+	3.85004i	0.0345970	+	0.240627i
$257$	−23.5017	+	10.7329i	−1.46599	+	0.669497i	−0.978991	−	0.203904i	$-0.934637\pi$
$257$	−23.5017	+	10.7329i	−1.46599	+	0.669497i	−0.487003	+	0.873401i	$0.661910\pi$
$258$	−12.7544	+	5.48077i	−0.794052	+	0.341218i
$259$	−2.80093	+	6.13319i	−0.174042	+	0.381098i
$260$	2.04445	−	2.35942i	0.126791	−	0.146325i
$261$	−8.59878	+	25.0487i	−0.532251	+	1.55047i
$262$	12.5012	−	3.67068i	0.772325	−	0.226775i
$263$	−15.7794	−	18.2104i	−0.972999	−	1.12290i	−0.992396	−	0.123088i	$-0.960720\pi$
$263$	−15.7794	−	18.2104i	−0.972999	−	1.12290i	0.0193971	−	0.999812i	$-0.493825\pi$
$264$	21.2880	+	6.77548i	1.31019	+	0.417002i
$265$	11.6553	−	7.49038i	0.715977	−	0.460130i
$266$	3.64832	−	3.16129i	0.223693	−	0.193831i
$267$	11.4258	−	16.9275i	0.699245	−	1.03594i
$268$	−0.936744	−	0.134683i	−0.0572208	−	0.00822710i
$269$	−5.70879	−	4.94669i	−0.348071	−	0.301605i	0.463225	−	0.886241i	$-0.346692\pi$
$269$	−5.70879	−	4.94669i	−0.348071	−	0.301605i	−0.811296	+	0.584636i	$0.801238\pi$
$270$	−1.95173	−	25.9114i	−0.118779	−	1.57692i
$271$	14.9387	+	4.38640i	0.907462	+	0.266455i	0.701972	−	0.712205i	$-0.252303\pi$
$271$	14.9387	+	4.38640i	0.907462	+	0.266455i	0.205490	+	0.978659i	$0.434121\pi$
$272$	4.40172	+	9.63842i	0.266894	+	0.584415i
$273$	−6.03253	+	6.65283i	−0.365105	+	0.402648i
$274$	−5.68935	+	8.85280i	−0.343706	+	0.534817i
$275$	−37.9004			−2.28548
$276$	−0.708336	+	1.15571i	−0.0426368	+	0.0695653i
$277$	−17.9936			−1.08113			−0.540567	−	0.841301i	$-0.681790\pi$
$277$	−17.9936			−1.08113			−0.540567	+	0.841301i	$0.681790\pi$
$278$	3.75984	−	5.85042i	0.225500	−	0.350885i
$279$	−4.86174	−	0.219311i	−0.291065	−	0.0131298i
$280$	4.49380	+	9.84004i	0.268556	+	0.588055i
$281$	19.5032	+	5.72666i	1.16346	+	0.341624i	0.805778	−	0.592218i	$-0.201747\pi$
$281$	19.5032	+	5.72666i	1.16346	+	0.341624i	0.357686	+	0.933842i	$0.383566\pi$
$282$	−4.79503	−	17.8055i	−0.285540	−	1.06030i
$283$	6.09867	+	5.28452i	0.362528	+	0.314132i	0.817010	−	0.576624i	$-0.195630\pi$
$283$	6.09867	+	5.28452i	0.362528	+	0.314132i	−0.454482	+	0.890756i	$0.650176\pi$
$284$	0.630559	+	0.0906607i	0.0374168	+	0.00537972i
$285$	18.8680	+	12.7356i	1.11764	+	0.754391i
$286$	−23.3646	+	20.2455i	−1.38158	+	1.19714i
$287$	−6.36030	+	4.08752i	−0.375437	+	0.241279i
$288$	2.56175	−	1.03307i	0.150953	−	0.0608743i
$289$	5.60477	+	6.46825i	0.329692	+	0.380485i
$290$	−42.3578	+	12.4374i	−2.48733	+	0.730347i
$291$	23.0923	−	14.1154i	1.35370	−	0.827462i
$292$	0.948077	−	1.09414i	0.0554820	−	0.0640296i
$293$	−0.563270	+	1.23339i	−0.0329066	+	0.0720554i	−0.925372	−	0.379061i	$-0.876247\pi$
$293$	−0.563270	+	1.23339i	−0.0329066	+	0.0720554i	0.892465	+	0.451117i	$0.148974\pi$
$294$	−0.926787	−	2.15674i	−0.0540513	−	0.125783i
$295$	6.95623	−	3.17680i	0.405008	−	0.184961i
$296$	2.81318	+	19.5661i	0.163513	+	1.13726i
$297$	1.54460	−	22.8081i	0.0896269	−	1.32346i
$298$		−	27.2708i		−	1.57976i
$299$	−11.3122	−	22.1441i	−0.654199	−	1.28063i
$300$	−1.87564	+	1.55264i	−0.108290	+	0.0896417i
$301$	−4.97494	−	3.19720i	−0.286751	−	0.184284i
$302$	−11.7036	+	1.68272i	−0.673467	+	0.0968299i
$303$	−4.27801	+	8.83497i	−0.245765	+	0.507556i
$304$	3.65978	−	12.4641i	0.209903	−	0.714864i
$305$	5.11225	+	2.33468i	0.292726	+	0.133684i
$306$	9.26716	−	7.32566i	0.529769	−	0.418780i
$307$	2.68763	−	18.6929i	0.153391	−	1.06686i	−0.757091	−	0.653309i	$-0.773380\pi$
$307$	2.68763	−	18.6929i	0.153391	−	1.06686i	0.910482	−	0.413548i	$-0.135711\pi$
$308$	0.202262	+	0.688842i	0.0115250	+	0.0392504i
$309$	−0.169945	+	1.01847i	−0.00966782	+	0.0579389i
$310$	−4.38590	−	6.82459i	−0.249102	−	0.387611i
$311$	2.43819	+	3.79390i	0.138257	+	0.215132i	0.903477	−	0.428637i	$-0.141006\pi$
$311$	2.43819	+	3.79390i	0.138257	+	0.215132i	−0.765220	+	0.643769i	$0.777370\pi$
$312$	−4.33339	+	25.9698i	−0.245330	+	1.47025i
$313$	−0.966696	−	3.29227i	−0.0546409	−	0.186090i	0.927650	−	0.373450i	$-0.121825\pi$
$313$	−0.966696	−	3.29227i	−0.0546409	−	0.186090i	−0.982291	+	0.187360i	$0.940007\pi$
$314$	−3.87009	+	26.9171i	−0.218402	+	1.51902i
$315$	8.68390	−	6.86460i	0.489282	−	0.386776i
$316$	0.248609	+	0.113536i	0.0139853	+	0.00638689i
$317$	−5.10245	+	17.3773i	−0.286582	+	0.976008i	0.682832	+	0.730576i	$0.260748\pi$
$317$	−5.10245	+	17.3773i	−0.286582	+	0.976008i	−0.969414	+	0.245433i	$0.921070\pi$
$318$	−3.84132	+	7.93313i	−0.215411	+	0.444868i
$319$	−38.4425	+	5.52720i	−2.15237	+	0.309464i
$320$	26.5146	+	17.0399i	1.48221	+	0.952559i
$321$	−7.43852	+	6.15754i	−0.415178	+	0.343681i
$322$	6.49349	−	0.285147i	0.361868	−	0.0158906i
$323$			10.3487i			0.575818i
$324$	−0.857923	−	1.19202i	−0.0476624	−	0.0662233i
$325$	−6.35680	−	44.2125i	−0.352612	−	2.45247i
$326$	15.2501	−	6.96447i	0.844622	−	0.385726i
$327$	1.73442	+	4.03618i	0.0959135	+	0.223201i
$328$	−9.20787	+	20.1624i	−0.508420	+	1.11328i
$329$	5.14413	−	5.93665i	0.283605	−	0.327298i
$330$	32.5134	−	19.8742i	1.78981	−	1.09404i
$331$	16.6277	−	4.88233i	0.913940	−	0.268357i	0.209241	−	0.977864i	$-0.432901\pi$
$331$	16.6277	−	4.88233i	0.913940	−	0.268357i	0.704698	+	0.709507i	$0.251082\pi$
$332$	−0.353547	−	0.408015i	−0.0194034	−	0.0223927i
$333$	18.7595	−	7.56512i	1.02802	−	0.414566i
$334$	10.1810	−	6.54292i	0.557079	−	0.358013i
$335$	−16.1722	+	14.0133i	−0.883584	+	0.765630i
$336$	−5.23571	−	3.53402i	−0.285631	−	0.192796i
$337$	24.6960	+	3.55074i	1.34527	+	0.193421i	0.777043	−	0.629448i	$-0.216719\pi$
$337$	24.6960	+	3.55074i	1.34527	+	0.193421i	0.568231	+	0.822869i	$0.307628\pi$
$338$	−14.2207	−	12.3223i	−0.773503	−	0.670244i
$339$	−3.78206	−	14.0440i	−0.205413	−	0.762766i
$340$	−1.67852	−	0.492859i	−0.0910307	−	0.0267290i
$341$	−2.96480	−	6.49200i	−0.160553	−	0.351562i
$342$	−14.4675	−	0.652623i	−0.782315	−	0.0352898i
$343$	0.540641	−	0.841254i	0.0291919	−	0.0454234i
$344$	−17.3375			−0.934778
$345$	9.26079	+	29.2174i	0.498584	+	1.57301i
$346$	23.3250			1.25396
$347$	−4.51791	+	7.03000i	−0.242534	+	0.377390i	−0.941085	−	0.338170i	$-0.890192\pi$
$347$	−4.51791	+	7.03000i	−0.242534	+	0.377390i	0.698551	+	0.715560i	$0.253829\pi$
$348$	−1.67604	+	1.84838i	−0.0898451	+	0.0990836i
$349$	11.0137	+	24.1166i	0.589548	+	1.29093i	0.935715	+	0.352758i	$0.114756\pi$
$349$	11.0137	+	24.1166i	0.589548	+	1.29093i	−0.346166	+	0.938173i	$0.612517\pi$
$350$	11.2026	+	3.28937i	0.598802	+	0.175824i
$351$	26.8658	−	2.02362i	1.43399	−	0.108013i
$352$	3.06136	+	2.65268i	0.163171	+	0.141388i
$353$	11.9853	+	1.72323i	0.637915	+	0.0917183i	0.453681	−	0.891164i	$-0.350111\pi$
$353$	11.9853	+	1.72323i	0.637915	+	0.0917183i	0.184234	+	0.982882i	$0.441020\pi$
$354$	−2.72188	+	4.03251i	−0.144666	+	0.214326i
$355$	10.8862	−	9.43292i	0.577778	−	0.500647i
$356$	1.61866	−	1.04025i	0.0857889	−	0.0551332i
$357$	4.79526	+	1.52622i	0.253792	+	0.0807760i
$358$	−21.9632	−	25.3469i	−1.16079	−	1.33963i
$359$	−2.74322	+	0.805483i	−0.144782	+	0.0425117i	−0.353320	−	0.935502i	$-0.614947\pi$
$359$	−2.74322	+	0.805483i	−0.144782	+	0.0425117i	0.208539	+	0.978014i	$0.433129\pi$
$360$	10.5369	−	30.6946i	0.555345	−	1.61775i
$361$	−4.13404	+	4.77094i	−0.217581	+	0.251102i
$362$	−14.2733	+	31.2542i	−0.750189	+	1.64269i
$363$	13.2963	−	5.71366i	0.697876	−	0.299890i
$364$	−0.769641	+	0.351483i	−0.0403401	+	0.0184227i
$365$	−4.65879	−	32.4026i	−0.243852	−	1.69603i
$366$	−3.54966	+	0.428952i	−0.185544	+	0.0224217i
$367$			0.686905i			0.0358561i	0.999839	+	0.0179281i	$0.00570699\pi$
$367$			0.686905i			0.0358561i	−0.999839	+	0.0179281i	$0.994293\pi$
$368$	14.2849	−	10.0924i	0.744650	−	0.526104i
$369$	22.2824	+	4.23635i	1.15997	+	0.220535i
$370$	28.3652	+	18.2292i	1.47464	+	0.947691i
$371$	−3.71661	+	0.534368i	−0.192957	+	0.0277430i
$372$	−0.412677	−	0.199824i	−0.0213963	−	0.0103604i
$373$	9.27713	−	31.5950i	0.480352	−	1.63593i	−0.261384	−	0.965235i	$-0.584179\pi$
$373$	9.27713	−	31.5950i	0.480352	−	1.63593i	0.741735	−	0.670693i	$-0.234003\pi$
$374$	15.7581	+	7.19648i	0.814832	+	0.372121i
$375$	−0.520656	+	23.0959i	−0.0268866	+	1.19267i
$376$	3.27748	−	22.7954i	0.169023	−	1.17558i
$377$	−12.8954	−	43.9179i	−0.664149	−	2.26188i
$378$	−2.43606	+	6.60754i	−0.125298	+	0.339855i
$379$	−2.49084	−	3.87582i	−0.127946	−	0.199088i	0.771370	−	0.636386i	$-0.219572\pi$
$379$	−2.49084	−	3.87582i	−0.127946	−	0.199088i	−0.899316	+	0.437299i	$0.855935\pi$
$380$	1.15950	+	1.80422i	0.0594813	+	0.0925548i
$381$	1.43201	+	0.238949i	0.0733642	+	0.0122417i
$382$	−1.74068	−	5.92820i	−0.0890607	−	0.303313i
$383$	1.62082	−	11.2731i	0.0828200	−	0.576026i	−0.905583	−	0.424170i	$-0.860566\pi$
$383$	1.62082	−	11.2731i	0.0828200	−	0.576026i	0.988403	−	0.151856i	$-0.0485250\pi$
$384$	−16.8577	−	0.380027i	−0.860265	−	0.0193932i
$385$	14.7663	+	6.74354i	0.752560	+	0.343683i
$386$	6.20173	−	21.1211i	0.315660	−	1.07504i
$387$	4.22609	+	17.2305i	0.214824	+	0.875875i
$388$	2.52393	−	0.362886i	0.128133	−	0.0184227i
$389$	−29.8856	−	19.2063i	−1.51526	−	0.973800i	−0.992622	−	0.121247i	$-0.961311\pi$
$389$	−29.8856	−	19.2063i	−1.51526	−	0.973800i	−0.522640	−	0.852553i	$-0.675053\pi$
$390$	28.6374	+	34.5950i	1.45011	+	1.75179i
$391$	−8.65391	+	10.9206i	−0.437647	+	0.552278i
$392$		−	2.93175i		−	0.148076i
$393$	−1.99761	−	16.5306i	−0.100766	−	0.833859i
$394$	1.51617	+	10.5452i	0.0763837	+	0.531260i
$395$	5.62140	−	2.56721i	0.282843	−	0.129170i
$396$	0.982085	−	1.91683i	0.0493516	−	0.0963242i
$397$	15.6153	−	34.1927i	0.783710	−	1.71608i	0.0898721	−	0.995953i	$-0.471354\pi$
$397$	15.6153	−	34.1927i	0.783710	−	1.71608i	0.693838	−	0.720132i	$-0.255919\pi$
$398$	23.1822	−	26.7537i	1.16202	−	1.34104i
$399$	−3.21761	−	5.26388i	−0.161082	−	0.263524i
$400$	30.1454	−	8.85149i	1.50727	−	0.442574i
$401$	−8.21866	−	9.48484i	−0.410420	−	0.473650i	0.512475	−	0.858702i	$-0.328729\pi$
$401$	−8.21866	−	9.48484i	−0.410420	−	0.473650i	−0.922895	+	0.385052i	$0.874183\pi$
$402$	4.12889	−	12.9726i	0.205930	−	0.647016i
$403$	7.07594	−	4.54743i	0.352478	−	0.226524i
$404$	−0.698937	+	0.605632i	−0.0347734	+	0.0301313i
$405$	−33.0735	−	2.98994i	−1.64343	−	0.148571i
$406$	11.8425	+	1.70269i	0.587733	+	0.0845033i
$407$	22.4182	+	19.4254i	1.11123	+	0.962883i
$408$	14.2458	−	3.83641i	0.705274	−	0.189931i
$409$	−20.3023	−	5.96130i	−1.00389	−	0.294768i	−0.261836	−	0.965112i	$-0.584328\pi$
$409$	−20.3023	−	5.96130i	−1.00389	−	0.294768i	−0.742050	+	0.670345i	$0.766146\pi$
$410$	15.7062	+	34.3918i	0.775673	+	1.69849i
$411$	9.96280	+	9.03388i	0.491429	+	0.445608i
$412$	−0.0525942	+	0.0818381i	−0.00259113	+	0.00403188i
$413$	−2.07254			−0.101983
$414$	−14.7213	−	12.7869i	−0.723512	−	0.628441i
$415$	−12.2075			−0.599242
$416$	−2.58101	+	4.01613i	−0.126544	+	0.196907i
$417$	−6.58397	−	5.97009i	−0.322419	−	0.292356i
$418$	−8.82263	−	19.3189i	−0.431529	−	0.944917i
$419$	4.63376	+	1.36059i	0.226374	+	0.0664693i	0.392952	−	0.919559i	$-0.371454\pi$
$419$	4.63376	+	1.36059i	0.226374	+	0.0664693i	−0.166579	+	0.986028i	$0.553272\pi$
$420$	1.00702	−	0.271192i	0.0491376	−	0.0132328i
$421$	−5.74021	−	4.97392i	−0.279761	−	0.242414i	0.503666	−	0.863899i	$-0.331984\pi$
$421$	−5.74021	−	4.97392i	−0.279761	−	0.242414i	−0.783426	+	0.621485i	$0.786530\pi$
$422$	21.4241	+	3.08031i	1.04291	+	0.149947i
$423$	−23.4535	+	2.29922i	−1.14035	+	0.111792i
$424$	−8.31944	+	7.20884i	−0.404028	+	0.350092i
$425$	−21.0559	+	13.5318i	−1.02136	+	0.656389i
$426$	−2.77931	+	8.73238i	−0.134658	+	0.423085i
$427$	−0.997447	−	1.15112i	−0.0482699	−	0.0557064i
$428$	−0.872921	+	0.256313i	−0.0421942	+	0.0123893i
$429$	20.6062	+	33.7109i	0.994877	+	1.62758i
$430$	−19.3664	+	22.3500i	−0.933929	+	1.07781i
$431$	−9.48785	+	20.7755i	−0.457014	+	1.00072i	0.531144	+	0.847281i	$0.321762\pi$
$431$	−9.48785	+	20.7755i	−0.457014	+	1.00072i	−0.988158	+	0.153439i	$0.950965\pi$
$432$	4.09819	+	18.5019i	0.197174	+	0.890175i
$433$	24.2489	−	11.0741i	1.16533	−	0.532188i	0.263661	−	0.964615i	$-0.415070\pi$
$433$	24.2489	−	11.0741i	1.16533	−	0.532188i	0.901669	+	0.432427i	$0.142343\pi$
$434$	0.312892	+	2.17621i	0.0150193	+	0.104462i
$435$	6.76852	+	56.0107i	0.324526	+	2.68551i
$436$			0.413888i			0.0198217i
$437$	16.7855	−	3.17050i	0.802958	−	0.151666i
$438$	13.2801	+	16.0428i	0.634548	+	0.766555i
$439$	21.4711	+	13.7986i	1.02476	+	0.658573i	0.941172	−	0.337927i	$-0.109726\pi$
$439$	21.4711	+	13.7986i	1.02476	+	0.658573i	0.0835879	+	0.996500i	$0.473362\pi$
$440$	47.1074	−	6.77302i	2.24576	−	0.322891i
$441$	−2.91364	+	0.714624i	−0.138745	+	0.0340297i
$442$	−5.75201	+	19.5895i	−0.273595	+	0.931780i
$443$	−23.0057	−	10.5063i	−1.09303	−	0.499172i	−0.214438	−	0.976738i	$-0.568792\pi$
$443$	−23.0057	−	10.5063i	−1.09303	−	0.499172i	−0.878596	+	0.477566i	$0.841519\pi$
$444$	1.90523	+	0.0429502i	0.0904183	+	0.00203832i
$445$	6.19167	−	43.0640i	0.293513	−	2.04143i
$446$	−9.34512	−	31.8266i	−0.442504	−	1.50703i
$447$	−34.3766	−	5.73616i	−1.62596	−	0.271311i
$448$	−4.61809	−	7.18588i	−0.218184	−	0.339501i
$449$	−17.2903	−	26.9042i	−0.815978	−	1.26969i	−0.959969	−	0.280108i	$-0.909630\pi$
$449$	−17.2903	−	26.9042i	−0.815978	−	1.26969i	0.143990	−	0.989579i	$-0.454007\pi$
$450$	−17.5897	−	30.2896i	−0.829185	−	1.42787i
$451$	9.37107	+	31.9149i	0.441266	+	1.50282i
$452$	0.195012	−	1.35634i	0.00917258	−	0.0637967i
$453$	−0.340563	+	15.1071i	−0.0160010	+	0.709792i
$454$	10.9407	+	4.99646i	0.513473	+	0.234495i
$455$	−5.38999	+	18.3566i	−0.252686	+	0.860571i
$456$	−16.2791	−	7.88255i	−0.762338	−	0.369134i
$457$	−17.4591	+	2.51023i	−0.816701	+	0.117424i	−0.537990	−	0.842951i	$-0.680816\pi$
$457$	−17.4591	+	2.51023i	−0.816701	+	0.117424i	−0.278711	+	0.960375i	$0.589907\pi$
$458$	−21.4577	−	13.7900i	−1.00265	−	0.644365i
$459$	−7.28520	−	13.2227i	−0.340044	−	0.617184i
$460$	−0.285167	+	2.87354i	−0.0132960	+	0.133980i
$461$			4.24536i			0.197726i	0.995101	+	0.0988631i	$0.0315206\pi$
$461$			4.24536i			0.197726i	−0.995101	+	0.0988631i	$0.968479\pi$
$462$	−10.2529	+	1.23899i	−0.477008	+	0.0576432i
$463$	−1.22087	−	8.49137i	−0.0567388	−	0.394627i	−0.998325	−	0.0578551i	$-0.981574\pi$
$463$	−1.22087	−	8.49137i	−0.0567388	−	0.394627i	0.941586	−	0.336772i	$-0.109335\pi$
$464$	29.2857	−	13.3743i	1.35955	−	0.620888i
$465$	−9.52535	+	4.09321i	−0.441728	+	0.189818i
$466$	−7.24516	+	15.8647i	−0.335625	+	0.734917i
$467$	−1.45588	+	1.68017i	−0.0673700	+	0.0777491i	−0.788434	−	0.615119i	$-0.789108\pi$
$467$	−1.45588	+	1.68017i	−0.0673700	+	0.0777491i	0.721064	+	0.692868i	$0.243653\pi$
$468$	2.40078	+	0.824148i	0.110976	+	0.0380963i
$469$	5.56454	−	1.63390i	0.256947	−	0.0754463i
$470$	−25.7247	−	29.6879i	−1.18659	−	1.36940i
$471$	33.1166	+	10.5403i	1.52593	+	0.485669i
$472$	−5.11160	+	3.28502i	−0.235280	+	0.151205i
$473$	−19.6626	+	17.0377i	−0.904086	+	0.783395i
$474$	−2.19958	+	3.25871i	−0.101030	+	0.149678i
$475$	30.3726	+	4.36692i	1.39359	+	0.200368i
$476$	0.358310	+	0.310477i	0.0164231	+	0.0142307i
$477$	9.19222	+	6.51089i	0.420883	+	0.298113i
$478$	28.8024	+	8.45714i	1.31739	+	0.386821i
$479$	8.49666	+	18.6051i	0.388222	+	0.850088i	0.998330	+	0.0577694i	$0.0183988\pi$
$479$	8.49666	+	18.6051i	0.388222	+	0.850088i	−0.610108	+	0.792318i	$0.708874\pi$
$480$	3.95270	−	4.35914i	0.180415	−	0.198967i
$481$	−18.9006	+	29.4099i	−0.861793	+	1.34098i
$482$	−12.7234			−0.579537
$483$	1.00640	−	8.24543i	0.0457928	−	0.375180i
$484$	1.36347			0.0619757
$485$	31.1715	−	48.5037i	1.41542	−	2.20244i
$486$	18.9449	−	9.35087i	0.859356	−	0.424164i
$487$	14.5176	+	31.7892i	0.657857	+	1.44051i	0.884506	+	0.466530i	$0.154496\pi$
$487$	14.5176	+	31.7892i	0.657857	+	1.44051i	−0.226648	+	0.973977i	$0.572777\pi$
$488$	−4.28459	−	1.25807i	−0.193954	−	0.0569501i
$489$	−5.57144	−	20.6886i	−0.251949	−	0.935569i
$490$	−3.77934	−	3.27481i	−0.170733	−	0.147941i
$491$	−0.893603	−	0.128481i	−0.0403278	−	0.00579826i	0.122121	−	0.992515i	$-0.461030\pi$
$491$	−0.893603	−	0.128481i	−0.0403278	−	0.00579826i	−0.162449	+	0.986717i	$0.551939\pi$
$492$	1.77120	+	1.19553i	0.0798517	+	0.0538986i
$493$	−19.3837	+	16.7960i	−0.872996	+	0.756455i
$494$	21.0566	−	13.5322i	0.947379	−	0.608844i
$495$	−18.2138	−	45.1656i	−0.818650	−	2.03004i
$496$	3.87433	+	4.47122i	0.173963	+	0.200764i
$497$	−3.74571	+	1.09984i	−0.168018	+	0.0493345i
$498$	6.62641	−	4.05047i	0.296937	−	0.181506i
$499$	2.11610	−	2.44211i	0.0947295	−	0.109324i	−0.706405	−	0.707807i	$-0.749684\pi$
$499$	2.11610	−	2.44211i	0.0947295	−	0.109324i	0.801135	+	0.598484i	$0.204230\pi$
$500$	−0.904155	+	1.97982i	−0.0404350	+	0.0885404i
$501$	−6.10629	−	14.2100i	−0.272809	−	0.634856i
$502$	−30.3118	+	13.8429i	−1.35288	+	0.617841i
$503$	2.74348	+	19.0813i	0.122326	+	0.850794i	0.954910	+	0.296896i	$0.0959514\pi$
$503$	2.74348	+	19.0813i	0.122326	+	0.850794i	−0.832584	+	0.553899i	$0.813140\pi$
$504$	−6.05334	+	6.38069i	−0.269637	+	0.284219i
$505$			20.9117i			0.930556i
$506$	6.84485	−	27.7642i	0.304291	−	1.23427i
$507$	−18.5242	+	15.3342i	−0.822688	+	0.681015i
$508$	0.115068	+	0.0739494i	0.00510530	+	0.00328098i
$509$	−30.3844	+	4.36861i	−1.34676	+	0.193635i	−0.777688	−	0.628650i	$-0.783608\pi$
$509$	−30.3844	+	4.36861i	−1.34676	+	0.193635i	−0.569075	+	0.822286i	$0.692699\pi$
$510$	10.9673	−	22.6498i	0.485641	−	1.00295i
$511$	−2.49951	+	8.51255i	−0.110572	+	0.376573i
$512$	−22.5062	−	10.2782i	−0.994643	−	0.454238i
$513$	−3.86578	+	18.1000i	−0.170678	+	0.799133i
$514$	4.98329	−	34.6595i	0.219803	−	1.52877i
$515$	0.619718	+	2.11057i	0.0273080	+	0.0930026i
$516$	−0.275102	+	1.64868i	−0.0121107	+	0.0725789i
$517$	−18.6841	−	29.0731i	−0.821728	−	1.27863i
$518$	−4.94040	−	7.68742i	−0.217069	−	0.337766i
$519$	4.90619	−	29.4026i	0.215358	−	1.29063i
$520$	15.8021	+	53.8169i	0.692966	+	2.36003i
$521$	−1.53481	+	10.6749i	−0.0672414	+	0.467674i	0.928183	+	0.372124i	$0.121370\pi$
$521$	−1.53481	+	10.6749i	−0.0672414	+	0.467674i	−0.995425	+	0.0955507i	$0.969539\pi$
$522$	−22.2585	−	28.1577i	−0.974230	−	1.23243i
$523$	−16.4380	−	7.50696i	−0.718782	−	0.328257i	0.0222262	−	0.999753i	$-0.492925\pi$
$523$	−16.4380	−	7.50696i	−0.718782	−	0.328257i	−0.741008	+	0.671496i	$0.765652\pi$
$524$	0.441967	−	1.50520i	0.0193074	−	0.0657550i
$525$	6.50281	−	13.4296i	0.283806	−	0.586118i
$526$	32.3244	−	4.64755i	1.40941	−	0.202643i
$527$	−3.96500	−	2.54815i	−0.172718	−	0.110999i
$528$	−21.4076	+	17.7210i	−0.931644	+	0.771208i
$529$	20.3643	+	10.6908i	0.885406	+	0.464819i
$530$			18.7771i			0.815624i
$531$	4.51071	+	4.27930i	0.195748	+	0.185706i
$532$	−0.0827197	−	0.575328i	−0.00358635	−	0.0249436i
$533$	−35.6584	+	16.2847i	−1.54454	+	0.705367i
$534$	10.9278	+	25.4302i	0.472892	+	1.10047i
$535$	−8.54562	+	18.7123i	−0.369459	+	0.809003i
$536$	11.1343	−	12.8497i	0.480928	−	0.555021i
$537$	−36.5711	+	22.3545i	−1.57816	+	0.964669i
$538$	9.82292	−	2.88427i	0.423496	−	0.124350i
$539$	−2.88105	−	3.32490i	−0.124095	−	0.143214i
$540$	−2.75164	−	1.48903i	−0.118412	−	0.0640777i
$541$	−28.5209	+	18.3292i	−1.22621	+	0.788036i	−0.983296	−	0.182013i	$-0.941739\pi$
$541$	−28.5209	+	18.3292i	−1.22621	+	0.788036i	−0.242911	+	0.970048i	$0.578102\pi$
$542$	−15.9471	+	13.8182i	−0.684987	+	0.593545i
$543$	36.3956	+	24.5664i	1.56189	+	1.05425i
$544$	2.64787	+	0.380706i	0.113526	+	0.0163226i
$545$	7.07277	+	6.12859i	0.302964	+	0.262520i
$546$	−3.16500	−	11.7527i	−0.135449	−	0.502967i
$547$	−20.2474	−	5.94518i	−0.865717	−	0.254197i	−0.181424	−	0.983405i	$-0.558071\pi$
$547$	−20.2474	−	5.94518i	−0.865717	−	0.254197i	−0.684293	+	0.729208i	$0.739889\pi$
$548$	0.526356	+	1.15256i	0.0224848	+	0.0492349i
$549$	−0.205915	+	4.56479i	−0.00878825	+	0.194821i
$550$	27.7706	−	43.2119i	1.18414	−	1.84256i
$551$	31.4438			1.33955
$552$	−10.5871	−	21.9312i	−0.450615	−	0.933454i
$553$	−1.67484			−0.0712215
$554$	13.1844	−	20.5154i	0.560152	−	0.871614i
$555$	28.9454	−	31.9217i	1.22866	−	1.35500i
$556$	−0.347845	−	0.761675i	−0.0147519	−	0.0323022i
$557$	26.7968	+	7.86825i	1.13542	+	0.333388i	0.794834	−	0.606827i	$-0.207558\pi$
$557$	26.7968	+	7.86825i	1.13542	+	0.333388i	0.340582	+	0.940215i	$0.389376\pi$
$558$	3.81237	−	5.38239i	0.161390	−	0.227855i
$559$	−23.1731	−	20.0796i	−0.980119	−	0.849278i
$560$	−13.3198	−	1.91510i	−0.562865	−	0.0809277i
$561$	12.3862	−	18.3504i	0.522945	−	0.774753i
$562$	−20.8197	+	18.0404i	−0.878228	+	0.760989i
$563$	5.45565	−	3.50613i	0.229928	−	0.147766i	−0.420605	−	0.907244i	$-0.638182\pi$
$563$	5.45565	−	3.50613i	0.229928	−	0.147766i	0.650533	+	0.759478i	$0.274546\pi$
$564$	−2.11567	−	0.673368i	−0.0890858	−	0.0283539i
$565$	−20.2903	−	23.4162i	−0.853618	−	0.985127i
$566$	−10.4938	+	3.08125i	−0.441086	+	0.129515i
$567$	7.81682	+	4.46065i	0.328276	+	0.187329i
$568$	−7.49493	+	8.64961i	−0.314480	+	0.362929i
$569$	8.28472	−	18.1410i	0.347313	−	0.760510i	−0.652682	−	0.757632i	$-0.726356\pi$
$569$	8.28472	−	18.1410i	0.347313	−	0.760510i	0.999996	−	0.00287866i	$-0.000916306\pi$
$570$	−28.3455	+	12.1806i	−1.18726	+	0.510187i
$571$	7.33174	−	3.34829i	0.306824	−	0.140122i	−0.256053	−	0.966663i	$-0.582422\pi$
$571$	7.33174	−	3.34829i	0.306824	−	0.140122i	0.562876	+	0.826541i	$0.309695\pi$
$572$	0.529753	+	3.68451i	0.0221501	+	0.154057i
$573$	−7.83900	+	0.947291i	−0.327479	+	0.0395736i
$574$		−	10.2467i		−	0.427689i
$575$	28.3993	+	30.0067i	1.18433	+	1.25137i
$576$	−4.78623	+	25.1747i	−0.199426	+	1.04894i
$577$	−9.83666	−	6.32164i	−0.409506	−	0.263173i	0.319630	−	0.947542i	$-0.396441\pi$
$577$	−9.83666	−	6.32164i	−0.409506	−	0.263173i	−0.729136	+	0.684369i	$0.760078\pi$
$578$	−11.4815	+	1.65079i	−0.477567	+	0.0686638i
$579$	−25.3201	−	12.2603i	−1.05227	−	0.509521i
$580$	−1.49752	+	5.10008i	−0.0621811	+	0.211769i
$581$	3.00945	+	1.37437i	0.124853	+	0.0570185i
$582$	−0.826692	+	36.6713i	−0.0342675	+	1.52008i
$583$	−2.35094	+	16.3511i	−0.0973659	+	0.677195i
$584$	7.32793	+	24.9566i	0.303232	+	1.03271i
$585$	49.6328	−	28.8226i	2.05206	−	1.19167i
$586$	−0.993520	−	1.54595i	−0.0410419	−	0.0638625i
$587$	14.4696	+	22.5151i	0.597223	+	0.929297i	0.999903	+	0.0139562i	$0.00444254\pi$
$587$	14.4696	+	22.5151i	0.597223	+	0.929297i	−0.402680	+	0.915341i	$0.631921\pi$
$588$	−0.278788	−	0.0465192i	−0.0114970	−	0.00191842i
$589$	1.62791	+	5.54416i	0.0670769	+	0.228443i
$590$	−1.47500	+	10.2588i	−0.0607247	+	0.422350i
$591$	13.6118	+	0.306855i	0.559915	+	0.0126223i
$592$	−22.3678	−	10.2150i	−0.919310	−	0.419835i
$593$	−1.94200	+	6.61383i	−0.0797482	+	0.271598i	−0.989709	−	0.143098i	$-0.954294\pi$
$593$	−1.94200	+	6.61383i	−0.0797482	+	0.271598i	0.909960	+	0.414695i	$0.136112\pi$
$594$	24.8728	+	18.4732i	1.02054	+	0.757963i
$595$	10.6112	−	1.52567i	0.435018	−	0.0625462i
$596$	−2.76229	−	1.77522i	−0.113148	−	0.0727157i
$597$	−28.8486	−	34.8500i	−1.18069	−	1.42632i
$598$	33.5362	+	3.32810i	1.37140	+	0.136096i
$599$		−	0.998098i		−	0.0407812i	−0.999792	−	0.0203906i	$-0.993509\pi$
$599$		−	0.998098i		−	0.0407812i	0.999792	−	0.0203906i	$-0.00649097\pi$
$600$	−5.24813	−	43.4292i	−0.214254	−	1.77299i
$601$	−1.12822	−	7.84692i	−0.0460209	−	0.320082i	−0.999808	−	0.0195990i	$-0.993761\pi$
$601$	−1.12822	−	7.84692i	−0.0460209	−	0.320082i	0.953787	−	0.300484i	$-0.0971480\pi$
$602$	7.29054	−	3.32948i	0.297140	−	0.135699i
$603$	−15.4843	−	7.93339i	−0.630571	−	0.323073i
$604$	−0.591410	+	1.29501i	−0.0240641	+	0.0526931i
$605$	20.1893	−	23.2997i	0.820812	−	0.947267i
$606$	−6.93853	−	11.3512i	−0.281859	−	0.461109i
$607$	−5.22301	+	1.53362i	−0.211996	+	0.0622475i	−0.386006	−	0.922496i	$-0.626146\pi$
$607$	−5.22301	+	1.53362i	−0.211996	+	0.0622475i	0.174010	+	0.984744i	$0.444327\pi$
$608$	−2.14766	−	2.47854i	−0.0870992	−	0.100518i
$609$	4.63731	−	14.5701i	0.187913	−	0.590409i
$610$	−6.40775	+	4.11801i	−0.259442	+	0.166733i
$611$	30.7813	−	26.6721i	1.24528	−	1.07904i
$612$	−0.138771	−	1.41555i	−0.00560947	−	0.0572202i
$613$	−22.3275	−	3.21021i	−0.901798	−	0.129659i	−0.324208	−	0.945986i	$-0.605098\pi$
$613$	−22.3275	−	3.21021i	−0.901798	−	0.129659i	−0.577590	+	0.816327i	$0.696007\pi$
$614$	19.3433	+	16.7610i	0.780630	+	0.676420i
$615$	46.6566	−	12.5647i	1.88138	−	0.506656i
$616$	−12.3757	−	3.63383i	−0.498630	−	0.146411i
$617$	13.4261	+	29.3991i	0.540515	+	1.18356i	0.961073	+	0.276296i	$0.0891071\pi$
$617$	13.4261	+	29.3991i	0.540515	+	1.18356i	−0.420558	+	0.907266i	$0.638166\pi$
$618$	−1.03668	−	0.940023i	−0.0417015	−	0.0378133i
$619$	13.3923	−	20.8389i	0.538284	−	0.837586i	−0.460461	−	0.887680i	$-0.652316\pi$
$619$	13.3923	−	20.8389i	0.538284	−	0.837586i	0.998745	+	0.0500940i	$0.0159521\pi$
$620$	−0.976772			−0.0392281
$621$	−19.2152	+	15.8675i	−0.771078	+	0.636741i
$622$	−6.11212			−0.245074
$623$	−6.37473	+	9.91927i	−0.255398	+	0.397407i
$624$	−24.2629	−	22.0006i	−0.971293	−	0.880731i
$625$	2.55074	+	5.58535i	0.102030	+	0.223414i
$626$	4.46198	+	1.31016i	0.178337	+	0.0523644i
$627$	−26.2084	+	7.05794i	−1.04666	+	0.281867i
$628$	2.47453	+	2.14419i	0.0987446	+	0.0855627i
$629$	19.3902	+	2.78789i	0.773137	+	0.111160i
$630$	1.46371	+	14.9308i	0.0583155	+	0.594856i
$631$	21.3537	−	18.5031i	0.850078	−	0.736597i	−0.116440	−	0.993198i	$-0.537148\pi$
$631$	21.3537	−	18.5031i	0.850078	−	0.736597i	0.966517	+	0.256601i	$0.0826027\pi$
$632$	−4.13073	+	2.65466i	−0.164312	+	0.105597i
$633$	8.38927	−	26.3584i	0.333444	−	1.04765i
$634$	−16.0740	−	18.5504i	−0.638379	−	0.736729i
$635$	2.96754	−	0.871347i	0.117763	−	0.0345784i
$636$	0.553500	+	0.905504i	0.0219477	+	0.0359056i
$637$	3.39543	−	3.91853i	0.134532	−	0.155258i
$638$	21.8660	−	47.8799i	0.865684	−	1.89558i
$639$	10.4231	+	5.34027i	0.412332	+	0.211258i
$640$	−32.6752	+	14.9223i	−1.29160	+	0.589854i
$641$	−2.54581	−	17.7065i	−0.100554	−	0.699366i	−0.976273	−	0.216545i	$-0.930521\pi$
$641$	−2.54581	−	17.7065i	−0.100554	−	0.699366i	0.875719	−	0.482821i	$-0.160388\pi$
$642$	−1.57009	−	12.9928i	−0.0619665	−	0.512784i
$643$		−	36.8642i		−	1.45378i	−0.686752	−	0.726892i	$-0.740964\pi$
$643$		−	36.8642i		−	1.45378i	0.686752	−	0.726892i	$-0.259036\pi$
$644$	0.393816	−	0.676294i	0.0155185	−	0.0266497i
$645$	24.1000	+	29.1136i	0.948937	+	1.14635i
$646$	−11.7990	−	7.58277i	−0.464226	−	0.298340i
$647$	−21.7295	+	3.12423i	−0.854275	+	0.122826i	−0.555520	−	0.831503i	$-0.687481\pi$
$647$	−21.7295	+	3.12423i	−0.854275	+	0.122826i	−0.298756	+	0.954330i	$0.596572\pi$
$648$	26.3492	−	1.38835i	1.03509	−	0.0545396i
$649$	−2.56887	+	8.74876i	−0.100837	+	0.343419i
$650$	55.0665	+	25.1480i	2.15988	+	0.986386i
$651$	2.80907	+	0.0633256i	0.110096	+	0.00248192i
$652$	0.287276	−	1.99805i	0.0112506	−	0.0782497i
$653$	6.25800	+	21.3128i	0.244894	+	0.834034i	0.986579	+	0.163285i	$0.0522090\pi$
$653$	6.25800	+	21.3128i	0.244894	+	0.834034i	−0.741685	+	0.670749i	$0.765973\pi$
$654$	−5.87268	−	0.979930i	−0.229640	−	0.0383183i
$655$	−19.1774	−	29.8406i	−0.749323	−	1.16597i
$656$	−14.9072	−	23.1960i	−0.582028	−	0.905654i
$657$	23.0163	−	13.3660i	0.897952	−	0.521455i
$658$	2.99939	+	10.2150i	0.116928	+	0.398222i
$659$	−4.39330	+	30.5561i	−0.171139	+	1.19030i	0.705345	+	0.708864i	$0.250792\pi$
$659$	−4.39330	+	30.5561i	−0.171139	+	1.19030i	−0.876484	+	0.481431i	$0.840117\pi$
$660$	0.103407	−	4.58705i	0.00402511	−	0.178551i
$661$	−0.449956	−	0.205488i	−0.0175013	−	0.00799256i	0.406645	−	0.913586i	$-0.366699\pi$
$661$	−0.449956	−	0.205488i	−0.0175013	−	0.00799256i	−0.424146	+	0.905594i	$0.639426\pi$
$662$	−6.61698	+	22.5354i	−0.257176	+	0.875861i
$663$	23.4840	+	11.3712i	0.912042	+	0.441622i
$664$	9.60074	−	1.38038i	0.372581	−	0.0535691i
$665$	−11.0564	−	7.10552i	−0.428749	−	0.275540i
$666$	−5.12029	+	26.9317i	−0.198407	+	1.04358i
$667$	33.1815	+	26.2943i	1.28479	+	1.01812i
$668$		−	1.45716i		−	0.0563791i
$669$	−42.0850	+	5.08569i	−1.62710	+	0.196624i
$670$	−4.12739	−	28.7066i	−0.159455	−	1.10903i
$671$	−6.09548	+	2.78371i	−0.235313	+	0.107464i
$672$	−1.46521	+	0.629626i	−0.0565217	+	0.0242883i
$673$	−12.4289	+	27.2154i	−0.479097	+	1.04908i	0.503614	+	0.863929i	$0.332004\pi$
$673$	−12.4289	+	27.2154i	−0.479097	+	1.04908i	−0.982711	+	0.185147i	$0.940724\pi$
$674$	−22.1437	+	25.5552i	−0.852945	+	0.984350i
$675$	−41.8818	+	15.8018i	−1.61203	+	0.608210i
$676$	−2.17384	+	0.638298i	−0.0836093	+	0.0245499i
$677$	−8.44229	−	9.74292i	−0.324464	−	0.374451i	0.569960	−	0.821673i	$-0.306959\pi$
$677$	−8.44229	−	9.74292i	−0.324464	−	0.374451i	−0.894423	+	0.447222i	$0.852413\pi$
$678$	18.7834	+	5.97832i	0.721373	+	0.229596i
$679$	−13.1453	+	8.44797i	−0.504470	+	0.324203i
$680$	23.7527	−	20.5818i	0.910875	−	0.789278i
$681$	8.59962	−	12.7405i	0.329538	−	0.488217i
$682$	9.57420	+	1.37656i	0.366615	+	0.0527113i
$683$	−10.4276	−	9.03555i	−0.399000	−	0.345736i	0.432132	−	0.901810i	$-0.357761\pi$
$683$	−10.4276	−	9.03555i	−0.399000	−	0.345736i	−0.831132	+	0.556075i	$0.812307\pi$
$684$	−1.00788	+	1.42295i	−0.0385373	+	0.0544078i
$685$	27.4895	+	8.07166i	1.05032	+	0.308402i
$686$	0.563009	+	1.23282i	0.0214958	+	0.0470692i
$687$	−21.8966	+	24.1481i	−0.835407	+	0.921309i
$688$	11.6602	−	18.1436i	0.444541	−	0.691720i
$689$	−19.4686			−0.741696
$690$	−40.0977	−	10.8497i	−1.52649	−	0.413041i
$691$	−18.9011			−0.719032			−0.359516	−	0.933139i	$-0.617058\pi$
$691$	−18.9011			−0.719032			−0.359516	+	0.933139i	$0.617058\pi$
$692$	1.51836	−	2.36261i	0.0577193	−	0.0898129i
$693$	−0.594770	+	13.1850i	−0.0225934	+	0.500858i
$694$	−4.70483	−	10.3021i	−0.178593	−	0.391064i
$695$	−18.1666	−	5.33420i	−0.689099	−	0.202338i
$696$	−11.6567	−	43.2850i	−0.441845	−	1.64071i
$697$	16.6009	+	14.3848i	0.628806	+	0.544863i
$698$	−35.5664	−	5.11367i	−1.34621	−	0.193555i
$699$	18.4745	+	12.4700i	0.698769	+	0.471657i
$700$	1.06242	−	0.920595i	0.0401558	−	0.0347952i
$701$	−19.2455	+	12.3684i	−0.726894	+	0.467147i	−0.851029	−	0.525119i	$-0.824021\pi$
$701$	−19.2455	+	12.3684i	−0.726894	+	0.467147i	0.124135	+	0.992265i	$0.460385\pi$
$702$	−17.3780	+	32.1136i	−0.655891	+	1.21205i
$703$	−15.7272	−	18.1502i	−0.593163	−	0.684547i
$704$	−36.0575	+	10.5874i	−1.35897	+	0.399029i
$705$	−42.8344	+	26.1830i	−1.61324	+	0.986109i
$706$	−10.7467	+	12.4024i	−0.404457	+	0.466769i
$707$	2.35432	−	5.15524i	0.0885433	−	0.193883i
$708$	0.231274	+	0.538201i	0.00869182	+	0.0202268i
$709$	−3.24590	+	1.48235i	−0.121902	+	0.0556710i	−0.475433	−	0.879752i	$-0.657708\pi$
$709$	−3.24590	+	1.48235i	−0.121902	+	0.0556710i	0.353530	+	0.935423i	$0.384981\pi$
$710$	2.77831	+	19.3235i	0.104268	+	0.725200i
$711$	3.64515	+	3.45814i	0.136704	+	0.129690i
$712$			34.5684i			1.29550i
$713$	−2.91832	+	7.21184i	−0.109292	+	0.270086i
$714$	−5.25372	+	4.34898i	−0.196615	+	0.162757i
$715$	70.8074	+	45.5051i	2.64805	+	1.70180i
$716$	−3.99713	+	0.574700i	−0.149380	+	0.0214775i
$717$	16.7191	−	34.5283i	0.624385	−	1.28948i
$718$	1.09166	−	3.71787i	0.0407405	−	0.138750i
$719$	−30.5708	−	13.9612i	−1.14010	−	0.520666i	−0.246327	−	0.969187i	$-0.579224\pi$
$719$	−30.5708	−	13.9612i	−1.14010	−	0.520666i	−0.893773	+	0.448520i	$0.851951\pi$
$720$	25.0352	+	31.6702i	0.933007	+	1.18028i
$721$	0.0848403	−	0.590077i	0.00315962	−	0.0219756i
$722$	−2.41044	−	8.20919i	−0.0897071	−	0.305514i
$723$	−2.67626	+	16.0387i	−0.0995310	+	0.596486i
$724$	2.23664	+	3.48028i	0.0831240	+	0.129343i
$725$	41.1155	+	63.9770i	1.52699	+	2.37604i
$726$	−3.22817	+	19.3463i	−0.119809	+	0.718008i
$727$	5.49678	+	18.7203i	0.203864	+	0.694298i	0.996423	+	0.0845026i	$0.0269301\pi$
$727$	5.49678	+	18.7203i	0.203864	+	0.694298i	−0.792559	+	0.609795i	$0.791252\pi$
$728$	2.16333	−	15.0463i	0.0801782	−	0.557652i
$729$	−7.80249	−	25.8480i	−0.288981	−	0.957335i
$730$	40.3572	+	18.4305i	1.49369	+	0.682144i
$731$	−4.84064	+	16.4857i	−0.179037	+	0.609745i
$732$	−0.187619	+	0.387471i	−0.00693458	+	0.0143214i
$733$	−26.0424	+	3.74434i	−0.961899	+	0.138300i	−0.605335	−	0.795971i	$-0.706961\pi$
$733$	−26.0424	+	3.74434i	−0.961899	+	0.138300i	−0.356564	+	0.934271i	$0.616052\pi$
$734$	−0.783171	−	0.503313i	−0.0289074	−	0.0185776i
$735$	−4.92306	+	4.07526i	−0.181590	+	0.150318i
$736$	−0.193718	−	4.41144i	−0.00714055	−	0.162608i
$737$		−	25.5146i		−	0.939842i
$738$	−21.1569	+	22.3011i	−0.778797	+	0.820913i
$739$	2.67853	+	18.6296i	0.0985313	+	0.685300i	0.977887	+	0.209135i	$0.0670647\pi$
$739$	2.67853	+	18.6296i	0.0985313	+	0.685300i	−0.879356	+	0.476166i	$0.842026\pi$
$740$	3.69291	−	1.68649i	0.135754	−	0.0619967i
$741$	−12.6292	−	29.3895i	−0.463944	−	1.07965i
$742$	2.11400	−	4.62901i	0.0776074	−	0.169936i
$743$	−19.2052	+	22.1640i	−0.704570	+	0.813117i	−0.989362	−	0.145472i	$-0.953530\pi$
$743$	−19.2052	+	22.1640i	−0.704570	+	0.813117i	0.284792	+	0.958589i	$0.408075\pi$
$744$	7.02849	−	4.29625i	0.257677	−	0.157508i
$745$	−71.2381	+	20.9174i	−2.60996	+	0.766354i
$746$	29.2253	+	33.7278i	1.07001	+	1.23486i
$747$	−3.71207	−	9.20499i	−0.135818	−	0.336793i
$748$	1.75472	−	1.12769i	0.0641591	−	0.0412325i
$749$	4.21342	−	3.65095i	0.153955	−	0.133403i
$750$	−25.9511	−	17.5166i	−0.947601	−	0.639614i
$751$	−4.18559	−	0.601796i	−0.152734	−	0.0219599i	0.0655235	−	0.997851i	$-0.479128\pi$
$751$	−4.18559	−	0.601796i	−0.152734	−	0.0219599i	−0.218258	+	0.975891i	$0.570037\pi$
$752$	21.6510	+	18.7607i	0.789530	+	0.684132i
$753$	11.0741	+	41.1217i	0.403562	+	1.49856i
$754$	59.5215	+	17.4771i	2.16765	+	0.636478i
$755$	13.3726	+	29.2820i	0.486680	+	1.06568i
$756$	0.510707	+	0.676874i	0.0185742	+	0.0246177i
$757$	−8.40382	+	13.0766i	−0.305442	+	0.475277i	−0.959713	−	0.280984i	$-0.909339\pi$
$757$	−8.40382	+	13.0766i	−0.305442	+	0.475277i	0.654271	+	0.756260i	$0.272976\pi$
$758$	6.24410			0.226796
$759$	−33.5588	−	14.4683i	−1.21811	−	0.525166i
$760$	−38.5313			−1.39768
$761$	18.3616	−	28.5712i	0.665607	−	1.03570i	−0.330172	−	0.943921i	$-0.607107\pi$
$761$	18.3616	−	28.5712i	0.665607	−	1.03570i	0.995779	−	0.0917834i	$-0.0292567\pi$
$762$	−1.32171	+	1.45762i	−0.0478804	+	0.0528038i
$763$	−1.05363	−	2.30713i	−0.0381440	−	0.0835237i
$764$	−0.713783	−	0.209586i	−0.0258238	−	0.00758255i
$765$	−26.2446	−	18.5891i	−0.948874	−	0.672092i
$766$	11.6653	+	10.1080i	0.421484	+	0.365218i
$767$	−10.6367	−	1.52932i	−0.384068	−	0.0552207i
$768$	−3.76912	+	5.58402i	−0.136006	+	0.201496i
$769$	18.0015	−	15.5983i	0.649149	−	0.562491i	−0.266817	−	0.963747i	$-0.585972\pi$
$769$	18.0015	−	15.5983i	0.649149	−	0.562491i	0.915966	+	0.401256i	$0.131426\pi$
$770$	−18.5083	+	11.8945i	−0.666992	+	0.428650i
$771$	−42.6423	−	13.5720i	−1.53573	−	0.488785i
$772$	−1.73568	−	2.00308i	−0.0624683	−	0.0720923i
$773$	−0.566074	+	0.166214i	−0.0203603	+	0.00597831i	−0.291897	−	0.956450i	$-0.594286\pi$
$773$	−0.566074	+	0.166214i	−0.0203603	+	0.00597831i	0.271537	+	0.962428i	$0.412468\pi$
$774$	−22.7418	−	7.80687i	−0.817438	−	0.280612i
$775$	−9.15174	+	10.5617i	−0.328740	+	0.379386i
$776$	−19.0306	+	41.6711i	−0.683158	+	1.49591i
$777$	−10.7296	+	4.61071i	−0.384924	+	0.165408i
$778$	43.7960	−	20.0010i	1.57016	−	0.717069i
$779$	−3.83251	−	26.6557i	−0.137314	−	0.955039i
$780$	5.36834	−	0.648728i	0.192217	−	0.0232282i
$781$			17.1749i			0.614565i
$782$	−6.11010	−	17.8685i	−0.218497	−	0.638976i
$783$	−40.1764	+	22.1356i	−1.43579	+	0.791061i
$784$	3.06805	+	1.97172i	0.109573	+	0.0704185i
$785$	73.2825	−	10.5364i	2.61557	−	0.376061i
$786$	20.3110	+	9.83484i	0.724468	+	0.350797i
$787$	−6.99087	+	23.8087i	−0.249198	+	0.848689i	0.735958	+	0.677027i	$0.236732\pi$
$787$	−6.99087	+	23.8087i	−0.249198	+	0.848689i	−0.985156	+	0.171662i	$0.945086\pi$
$788$	1.16683	+	0.532874i	0.0415667	+	0.0189829i
$789$	0.940608	−	41.7245i	0.0334865	−	1.48543i
$790$	−1.19196	+	8.29026i	−0.0424080	+	0.294954i
$791$	2.36576	+	8.05704i	0.0841168	+	0.286475i
$792$	19.4316	+	33.4615i	0.690473	+	1.18900i
$793$	−4.26968	−	6.64375i	−0.151621	−	0.235927i
$794$	27.5429	+	42.8576i	0.977462	+	1.52096i
$795$	23.6697	+	3.94958i	0.839476	+	0.140077i
$796$	−1.20085	−	4.08970i	−0.0425628	−	0.144956i
$797$	5.55562	−	38.6402i	0.196790	−	1.36871i	−0.616732	−	0.787173i	$-0.711544\pi$
$797$	5.55562	−	38.6402i	0.196790	−	1.36871i	0.813522	−	0.581533i	$-0.197547\pi$
$798$	8.35921	+	0.188444i	0.295913	+	0.00667084i
$799$	−20.7603	−	9.48090i	−0.734446	−	0.335410i
$800$	2.23468	−	7.61062i	0.0790078	−	0.269076i
$801$	34.3549	−	8.42617i	1.21387	−	0.297724i
$802$	16.8361	−	2.42067i	0.594504	−	0.0854767i
$803$	32.8357	+	21.1022i	1.15875	+	0.744680i
$804$	−1.04524	−	1.26268i	−0.0368627	−	0.0445314i
$805$	−5.72554	−	16.7439i	−0.201799	−	0.590144i
$806$			11.3996i			0.401534i
$807$	−1.56964	−	12.9891i	−0.0552541	−	0.457237i
$808$	−2.36461	−	16.4462i	−0.0831867	−	0.578577i
$809$	−6.87987	+	3.14193i	−0.241883	+	0.110464i	−0.532668	−	0.846324i	$-0.678811\pi$
$809$	−6.87987	+	3.14193i	−0.241883	+	0.110464i	0.290785	+	0.956788i	$0.406083\pi$
$810$	27.6428	−	35.5177i	0.971268	−	1.24797i
$811$	1.91011	−	4.18256i	0.0670730	−	0.146869i	−0.873126	−	0.487494i	$-0.837911\pi$
$811$	1.91011	−	4.18256i	0.0670730	−	0.146869i	0.940199	+	0.340624i	$0.110638\pi$
$812$	0.943364	−	1.08870i	0.0331056	−	0.0382059i
$813$	14.0644	+	23.0089i	0.493261	+	0.806956i
$814$	−38.5742	+	11.3264i	−1.35202	+	0.396990i
$815$	−29.8900	−	34.4950i	−1.04700	−	1.20831i
$816$	−5.56612	+	17.4883i	−0.194853	+	0.612214i
$817$	17.7203	−	11.3881i	0.619954	−	0.398420i
$818$	21.6728	−	18.7796i	0.757772	−	0.656613i
$819$	−15.4807	+	1.51762i	−0.540939	+	0.0530298i
$820$	4.50598	+	0.647862i	0.157356	+	0.0226243i
$821$	−9.24421	−	8.01015i	−0.322625	−	0.279556i	0.478457	−	0.878111i	$-0.341196\pi$
$821$	−9.24421	−	8.01015i	−0.322625	−	0.279556i	−0.801082	+	0.598555i	$0.795742\pi$
$822$	−17.5999	+	4.73967i	−0.613868	+	0.165315i
$823$	51.9147	+	15.2435i	1.80963	+	0.531356i	0.998563	−	0.0535923i	$-0.0170671\pi$
$823$	51.9147	+	15.2435i	1.80963	+	0.531356i	0.811070	+	0.584949i	$0.198885\pi$
$824$	−0.726040	−	1.58981i	−0.0252928	−	0.0553835i
$825$	−48.6301	−	44.0958i	−1.69308	−	1.53522i
$826$	1.51861	−	2.36300i	0.0528391	−	0.0822192i
$827$	15.2132			0.529015			0.264507	−	0.964384i	$-0.414791\pi$
$827$	15.2132			0.529015			0.264507	+	0.964384i	$0.414791\pi$
$828$	−2.25349	+	0.658762i	−0.0783142	+	0.0228936i
$829$	19.3762			0.672964			0.336482	−	0.941690i	$-0.390763\pi$
$829$	19.3762			0.672964			0.336482	+	0.941690i	$0.390763\pi$
$830$	8.94475	−	13.9183i	0.310477	−	0.483111i
$831$	−23.0877	−	20.9350i	−0.800902	−	0.726227i
$832$	−18.3984	−	40.2870i	−0.637851	−	1.39670i
$833$	−2.78770	−	0.818542i	−0.0965881	−	0.0283608i
$834$	11.6310	−	3.13224i	0.402749	−	0.108461i
$835$	−24.9008	−	21.5766i	−0.861727	−	0.746690i
$836$	−2.53114	−	0.363923i	−0.0875414	−	0.0125866i
$837$	−5.98294	−	5.93786i	−0.206801	−	0.205243i
$838$	−4.94655	+	4.28621i	−0.170876	+	0.148065i
$839$	43.9049	−	28.2159i	1.51576	−	0.974122i	0.523225	−	0.852195i	$-0.324729\pi$
$839$	43.9049	−	28.2159i	1.51576	−	0.974122i	0.992539	−	0.121928i	$-0.0389076\pi$
$840$	−5.68255	+	17.8541i	−0.196067	+	0.616026i
$841$	32.0427	+	36.9792i	1.10492	+	1.27514i
$842$	9.87698	−	2.90014i	0.340383	−	0.0999456i
$843$	18.3618	+	30.0392i	0.632415	+	1.03461i
$844$	1.70662	−	1.96955i	0.0587444	−	0.0677946i
$845$	−21.2812	+	46.5994i	−0.732096	+	1.60307i
$846$	14.5636	−	28.4251i	0.500705	−	0.977274i
$847$	−7.60034	+	3.47096i	−0.261151	+	0.119264i
$848$	−1.94884	−	13.5545i	−0.0669235	−	0.465463i
$849$	1.67684	+	13.8762i	0.0575491	+	0.476229i
$850$		−	33.9219i		−	1.16351i
$851$	−1.41859	−	32.3047i	−0.0486286	−	1.10739i
$852$	0.703590	+	0.849960i	0.0241046	+	0.0291192i
$853$	−22.1324	−	14.2236i	−0.757800	−	0.487008i	0.103799	−	0.994598i	$-0.466900\pi$
$853$	−22.1324	−	14.2236i	−0.757800	−	0.487008i	−0.861599	+	0.507590i	$0.830537\pi$
$854$	2.04329	−	0.293781i	0.0699201	−	0.0100530i
$855$	9.39214	+	38.2933i	0.321205	+	1.30960i
$856$	4.60490	−	15.6828i	0.157392	−	0.536028i
$857$	13.4489	+	6.14191i	0.459406	+	0.209804i	0.631655	−	0.775250i	$-0.282376\pi$
$857$	13.4489	+	6.14191i	0.459406	+	0.209804i	−0.172249	+	0.985053i	$0.555103\pi$
$858$	−53.5340	−	1.20683i	−1.82762	−	0.0412006i
$859$	6.38836	−	44.4320i	0.217968	−	1.51600i	−0.527556	−	0.849521i	$-0.676891\pi$
$859$	6.38836	−	44.4320i	0.217968	−	1.51600i	0.745523	−	0.666479i	$-0.232200\pi$
$860$	1.00318	+	3.41653i	0.0342082	+	0.116503i
$861$	−12.9166	−	2.15529i	−0.440196	−	0.0734522i
$862$	−16.7351	−	26.0403i	−0.569999	−	0.886935i
$863$	1.54113	+	2.39805i	0.0524607	+	0.0816305i	0.866493	−	0.499189i	$-0.166369\pi$
$863$	1.54113	+	2.39805i	0.0524607	+	0.0816305i	−0.814032	+	0.580819i	$0.802732\pi$
$864$	4.48892	+	1.65497i	0.152716	+	0.0563033i
$865$	−17.8908	−	60.9305i	−0.608306	−	2.07170i
$866$	−5.14174	+	35.7616i	−0.174723	+	1.21523i
$867$	−0.334100	+	14.8204i	−0.0113466	+	0.503326i
$868$	0.240799	+	0.109969i	0.00817324	+	0.00373259i
$869$	−2.07593	+	7.06996i	−0.0704210	+	0.239832i
$870$	−68.8198	−	33.3234i	−2.33321	−	1.12977i
$871$	29.7639	−	4.27940i	1.00851	−	0.145002i
$872$	−6.25547	−	4.02014i	−0.211837	−	0.136139i
$873$	46.0526	+	8.75556i	1.55864	+	0.296331i
$874$	−8.68433	+	21.4610i	−0.293752	+	0.725928i
$875$		−	13.3378i		−	0.450900i
$876$	2.48947	−	0.300836i	0.0841114	−	0.0101643i
$877$	6.93609	+	48.2415i	0.234215	+	1.62900i	0.679544	+	0.733634i	$0.262177\pi$
$877$	6.93609	+	48.2415i	0.234215	+	1.62900i	−0.445329	+	0.895367i	$0.646913\pi$
$878$	−31.4649	+	14.3695i	−1.06189	+	0.484948i
$879$	−2.15774	+	0.927218i	−0.0727788	+	0.0312743i
$880$	−24.5937	+	53.8528i	−0.829054	+	1.81538i
$881$	20.9101	−	24.1316i	0.704480	−	0.813014i	−0.284870	−	0.958566i	$-0.591950\pi$
$881$	20.9101	−	24.1316i	0.704480	−	0.813014i	0.989351	+	0.145552i	$0.0464959\pi$
$882$	1.32013	−	3.84560i	0.0444510	−	0.129488i
$883$	−45.5223	+	13.3665i	−1.53195	+	0.449820i	−0.935646	−	0.352941i	$-0.885182\pi$
$883$	−45.5223	+	13.3665i	−1.53195	+	0.449820i	−0.596301	+	0.802761i	$0.703363\pi$
$884$	1.60981	+	1.85782i	0.0541439	+	0.0624854i
$885$	12.6217	+	4.01718i	0.424272	+	0.135036i
$886$	28.8356	−	18.5315i	0.968752	−	0.622579i
$887$	24.5241	−	21.2503i	0.823439	−	0.713514i	−0.137432	−	0.990511i	$-0.543885\pi$
$887$	24.5241	−	21.2503i	0.823439	−	0.713514i	0.960871	+	0.276997i	$0.0893393\pi$
$888$	−19.1549	+	28.3783i	−0.642795	+	0.952313i
$889$	−0.829671	−	0.119289i	−0.0278263	−	0.00400082i
$890$	44.5624	+	38.6135i	1.49373	+	1.29433i
$891$	28.5183	−	27.4680i	0.955400	−	0.920213i
$892$	−3.83207	−	1.12520i	−0.128307	−	0.0376744i
$893$	11.6232	+	25.4514i	0.388957	+	0.851698i
$894$	31.7287	−	34.9912i	1.06117	−	1.17028i
$895$	−49.3660	+	76.8150i	−1.65012	+	2.56764i
$896$	9.73526			0.325232
$897$	11.2493	−	41.5745i	0.375604	−	1.38813i
$898$	43.3437			1.44640
$899$	−7.74238	+	12.0474i	−0.258223	+	0.401802i
$900$	−4.21308	−	0.190050i	−0.140436	−	0.00633499i
$901$	4.53186	+	9.92338i	0.150978	+	0.330596i
$902$	−43.2540	−	12.7005i	−1.44020	−	0.422881i
$903$	−2.66352	−	9.89051i	−0.0886364	−	0.329136i
$904$	18.6054	+	16.1216i	0.618805	+	0.536198i
$905$	92.5916	+	13.3127i	3.07785	+	0.442528i
$906$	−16.9747	−	11.4576i	−0.563947	−	0.380654i
$907$	19.6723	−	17.0461i	0.653207	−	0.566007i	−0.263948	−	0.964537i	$-0.585025\pi$
$907$	19.6723	−	17.0461i	0.653207	−	0.566007i	0.917156	+	0.398529i	$0.130479\pi$
$908$	1.21829	−	0.782948i	0.0404304	−	0.0259830i
$909$	−15.7683	+	6.35884i	−0.523001	+	0.210910i
$910$	−16.9798	−	19.5957i	−0.562875	−	0.649592i
$911$	−8.77779	+	2.57739i	−0.290821	+	0.0853928i	−0.423889	−	0.905714i	$-0.639335\pi$
$911$	−8.77779	+	2.57739i	−0.290821	+	0.0853928i	0.133068	+	0.991107i	$0.457517\pi$
$912$	19.1974	−	11.7346i	0.635689	−	0.388573i
$913$	9.53173	−	11.0002i	0.315454	−	0.364054i
$914$	9.93069	−	21.7452i	0.328478	−	0.719266i
$915$	3.84320	+	8.94356i	0.127052	+	0.295665i
$916$	−2.79361	+	1.27580i	−0.0923034	+	0.0421535i
$917$	1.36813	+	9.51553i	0.0451795	+	0.314231i
$918$	20.4139	+	1.38246i	0.673758	+	0.0456280i
$919$			0.504886i			0.0166547i	0.999965	+	0.00832733i	$0.00265070\pi$
$919$			0.504886i			0.0166547i	−0.999965	+	0.00832733i	$0.997349\pi$
$920$	−40.6605	−	32.2210i	−1.34054	−	1.06230i
$921$	25.1970	−	20.8579i	0.830269	−	0.687290i
$922$	−4.84032	−	3.11069i	−0.159408	−	0.102445i
$923$	−20.0352	+	2.88063i	−0.659468	+	0.0948172i
$924$	−0.541921	+	1.11918i	−0.0178279	+	0.0368183i
$925$	16.3644	−	55.7321i	0.538059	−	1.83246i
$926$	10.5759	+	4.82987i	0.347547	+	0.158720i
$927$	−1.40301	+	1.10908i	−0.0460810	+	0.0364269i
$928$	1.15675	−	8.04536i	0.0379721	−	0.264102i
$929$	4.66930	+	15.9022i	0.153195	+	0.521733i	0.999947	−	0.0102535i	$-0.00326383\pi$
$929$	4.66930	+	15.9022i	0.153195	+	0.521733i	−0.846753	+	0.531987i	$0.821446\pi$
$930$	2.31263	−	13.8595i	0.0758340	−	0.454470i
$931$	1.92571	+	2.99646i	0.0631126	+	0.0982051i
$932$	1.13532	+	1.76659i	0.0371886	+	0.0578667i
$933$	−1.28563	+	7.70471i	−0.0420895	+	0.252241i
$934$	−0.848879	−	2.89102i	−0.0277762	−	0.0945969i
$935$	6.71213	−	46.6839i	0.219510	−	1.52673i
$936$	−35.7752	+	28.2802i	−1.16935	+	0.924366i
$937$	−29.5965	−	13.5163i	−0.966877	−	0.441558i	−0.131549	−	0.991310i	$-0.541995\pi$
$937$	−29.5965	−	13.5163i	−0.966877	−	0.441558i	−0.835328	+	0.549752i	$0.814722\pi$
$938$	−2.21441	+	7.54158i	−0.0723029	+	0.246241i
$939$	2.59007	−	5.34903i	0.0845237	−	0.174559i
$940$	−4.68168	+	0.673124i	−0.152700	+	0.0219549i
$941$	2.93437	+	1.88580i	0.0956576	+	0.0614754i	0.587595	−	0.809155i	$-0.300075\pi$
$941$	2.93437	+	1.88580i	0.0956576	+	0.0614754i	−0.491938	+	0.870630i	$0.663711\pi$
$942$	−36.2828	+	30.0346i	−1.18216	+	0.978581i
$943$	18.2460	−	31.3336i	0.594172	−	1.02036i
$944$		−	7.55857i		−	0.246010i
$945$	19.1290	+	1.29545i	0.622268	+	0.0421410i
$946$	−5.01817	−	34.9021i	−0.163155	−	1.13477i
$947$	2.65504	−	1.21252i	0.0862773	−	0.0394015i	−0.371809	−	0.928309i	$-0.621262\pi$
$947$	2.65504	−	1.21252i	0.0862773	−	0.0394015i	0.458086	+	0.888908i	$0.348535\pi$
$948$	0.186895	+	0.434925i	0.00607007	+	0.0141257i
$949$	−19.1093	+	41.8436i	−0.620315	+	1.35830i
$950$	−27.2337	+	31.4294i	−0.883578	+	1.01970i
$951$	−26.7649	+	16.3604i	−0.867911	+	0.530521i
$952$	−8.17282	+	2.39976i	−0.264883	+	0.0777766i
$953$	13.8415	+	15.9739i	0.448370	+	0.517446i	0.934269	−	0.356569i	$-0.116053\pi$
$953$	13.8415	+	15.9739i	0.448370	+	0.517446i	−0.485900	+	0.874015i	$0.661508\pi$
$954$	−14.1587	+	5.70976i	−0.458406	+	0.184860i
$955$	−14.1508	+	9.09414i	−0.457908	+	0.294280i
$956$	2.73154	−	2.36690i	0.0883445	−	0.0765509i
$957$	−55.7563	−	37.6346i	−1.80235	−	1.21655i
$958$	−27.4382	−	3.94502i	−0.886488	−	0.127458i
$959$	−5.86811	−	5.08475i	−0.189491	−	0.164195i
$960$	14.1956	+	52.7127i	0.458160	+	1.70130i
$961$	27.2193	+	7.99230i	0.878041	+	0.257816i
$962$	−19.6826	−	43.0988i	−0.634591	−	1.38956i
$963$	−16.7085	−	0.753710i	−0.538422	−	0.0242880i
$964$	−0.828242	+	1.28877i	−0.0266759	+	0.0415085i
$965$	−59.9305			−1.92923
$966$	8.66357	+	7.18908i	0.278746	+	0.231305i
$967$	−19.6749			−0.632702			−0.316351	−	0.948642i	$-0.602458\pi$
$967$	−19.6749			−0.632702			−0.316351	+	0.948642i	$0.602458\pi$
$968$	−13.2435	+	20.6073i	−0.425662	+	0.662343i
$969$	−12.0404	+	13.2784i	−0.386792	+	0.426565i
$970$	32.4611	+	71.0799i	1.04226	+	2.28224i
$971$	5.92076	+	1.73849i	0.190006	+	0.0557909i	0.375351	−	0.926883i	$-0.377522\pi$
$971$	5.92076	+	1.73849i	0.190006	+	0.0557909i	−0.185345	+	0.982674i	$0.559340\pi$
$972$	0.286071	−	2.52765i	0.00917573	−	0.0810743i
$973$	3.87798	+	3.36029i	0.124322	+	0.107726i
$974$	−46.8817	−	6.74058i	−1.50219	−	0.215982i
$975$	43.2833	−	64.1251i	1.38618	−	2.05365i
$976$	4.19812	−	3.63769i	0.134379	−	0.116440i
$977$	−43.0207	+	27.6478i	−1.37636	+	0.884530i	−0.999135	−	0.0415934i	$-0.986757\pi$
$977$	−43.0207	+	27.6478i	−1.37636	+	0.884530i	−0.377221	+	0.926123i	$0.623120\pi$
$978$	27.6703	+	8.80680i	0.884798	+	0.281610i
$979$	33.9706	+	39.2041i	1.08570	+	1.25297i
$980$	−0.577728	+	0.169636i	−0.0184548	+	0.00541883i
$981$	−2.47053	+	7.19676i	−0.0788778	+	0.229775i
$982$	0.801253	−	0.924696i	0.0255690	−	0.0295082i
$983$	8.34282	−	18.2682i	0.266095	−	0.582666i	−0.728669	−	0.684866i	$-0.759861\pi$
$983$	8.34282	−	18.2682i	0.266095	−	0.582666i	0.994764	+	0.102200i	$0.0325881\pi$
$984$	−35.2729	+	15.1574i	−1.12446	+	0.483200i
$985$	26.3837	−	12.0491i	0.840656	−	0.383915i
$986$	−4.94699	−	34.4071i	−0.157544	−	1.09574i
$987$	13.5075	−	1.63229i	0.429949	−	0.0519565i
$988$		−	3.01373i		−	0.0958795i
$989$	28.2226	+	2.80078i	0.897427	+	0.0890598i
$990$	64.8410	+	12.3276i	2.06078	+	0.391798i
$991$	−40.1957	−	25.8322i	−1.27686	−	0.820587i	−0.286362	−	0.958122i	$-0.592446\pi$
$991$	−40.1957	−	25.8322i	−1.27686	−	0.820587i	−0.990497	+	0.137534i	$0.956082\pi$
$992$	1.47844	−	0.212568i	0.0469405	−	0.00674903i
$993$	27.0154	+	13.0812i	0.857308	+	0.415120i
$994$	1.49060	−	5.07653i	0.0472791	−	0.161018i
$995$	−87.6686	−	40.0369i	−2.77928	−	1.26926i
$996$	0.0210749	−	0.934865i	0.000667784	−	0.0296223i
$997$	−2.92117	+	20.3172i	−0.0925144	+	0.643452i	0.889819	+	0.456313i	$0.150830\pi$
$997$	−2.92117	+	20.3172i	−0.0925144	+	0.643452i	−0.982334	+	0.187138i	$0.940079\pi$
$998$	1.23383	+	4.20205i	0.0390563	+	0.133014i
$999$	32.8721	+	12.1193i	1.04003	+	0.383437i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.u.a.113.14	✓	480
3.2	odd	2	inner	483.2.u.a.113.35	yes	480
23.11	odd	22	inner	483.2.u.a.218.35	yes	480
69.11	even	22	inner	483.2.u.a.218.14	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.u.a.113.14	✓	480	1.1	even	1	trivial
483.2.u.a.113.35	yes	480	3.2	odd	2	inner
483.2.u.a.218.14	yes	480	69.11	even	22	inner
483.2.u.a.218.35	yes	480	23.11	odd	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.u (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.732726 + 1.14014i) q^{2} +(1.28310 + 1.16347i) q^{3} +(0.0677890 + 0.148437i) q^{4} +(3.54035 + 1.03954i) q^{5} +(-2.26668 + 0.610418i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-2.90190 - 0.417231i) q^{8} +(0.292696 + 2.98569i) q^{9} +O(q^{10})\)	\(q+(-0.732726 + 1.14014i) q^{2} +(1.28310 + 1.16347i) q^{3} +(0.0677890 + 0.148437i) q^{4} +(3.54035 + 1.03954i) q^{5} +(-2.26668 + 0.610418i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-2.90190 - 0.417231i) q^{8} +(0.292696 + 2.98569i) q^{9} +(-3.77934 + 3.27481i) q^{10} +(-3.70108 + 2.37854i) q^{11} +(-0.0857214 + 0.269330i) q^{12} +(-3.39543 - 3.91853i) q^{13} +(1.30039 - 0.381830i) q^{14} +(3.33316 + 5.45292i) q^{15} +(2.38828 - 2.75622i) q^{16} +(-1.20694 + 2.64283i) q^{17} +(-3.61858 - 1.85398i) q^{18} +(3.24002 - 1.47967i) q^{19} +(0.0856903 + 0.595989i) q^{20} +(-0.207795 - 1.71954i) q^{21} -5.96258i q^{22} +(4.65641 + 1.14797i) q^{23} +(-3.23800 - 3.91162i) q^{24} +(7.24719 + 4.65749i) q^{25} +(6.95561 - 1.00007i) q^{26} +(-3.09819 + 4.17148i) q^{27} +(0.0459742 - 0.156574i) q^{28} +(8.03007 + 3.66721i) q^{29} +(-8.65941 - 0.195211i) q^{30} +(-0.230867 + 1.60572i) q^{31} +(-0.259401 - 0.883440i) q^{32} +(-7.51620 - 1.25417i) q^{33} +(-2.12885 - 3.31256i) q^{34} +(-1.99487 - 3.10407i) q^{35} +(-0.423345 + 0.245844i) q^{36} +(-1.89958 - 6.46938i) q^{37} +(-0.687013 + 4.77828i) q^{38} +(0.202401 - 8.97834i) q^{39} +(-9.84004 - 4.49380i) q^{40} +(2.13004 - 7.25425i) q^{41} +(2.11278 + 1.02304i) q^{42} +(5.85354 - 0.841611i) q^{43} +(-0.603955 - 0.388138i) q^{44} +(-2.06750 + 10.8747i) q^{45} +(-4.72072 + 4.46783i) q^{46} +7.85531i q^{47} +(6.27117 - 0.757829i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-10.6204 + 4.85018i) q^{50} +(-4.62347 + 1.98679i) q^{51} +(0.351483 - 0.769641i) q^{52} +(2.45889 - 2.83771i) q^{53} +(-2.48597 - 6.58893i) q^{54} +(-15.5757 + 4.57344i) q^{55} +(1.91988 + 2.21567i) q^{56} +(5.87882 + 1.87109i) q^{57} +(-10.0650 + 6.46838i) q^{58} +(1.56632 - 1.35723i) q^{59} +(-0.583464 + 0.864412i) q^{60} +(1.50764 + 0.216766i) q^{61} +(-1.66158 - 1.43977i) q^{62} +(1.73400 - 2.44811i) q^{63} +(8.19587 + 2.40652i) q^{64} +(-7.94754 - 17.4027i) q^{65} +(6.93725 - 7.65059i) q^{66} +(-3.13542 + 4.87882i) q^{67} -0.474112 q^{68} +(4.63902 + 6.89053i) q^{69} +5.00078 q^{70} +(2.11058 - 3.28412i) q^{71} +(0.396346 - 8.78630i) q^{72} +(-3.68553 - 8.07019i) q^{73} +(8.76790 + 2.57449i) q^{74} +(3.88005 + 14.4079i) q^{75} +(0.439275 + 0.380634i) q^{76} +(4.35470 + 0.626111i) q^{77} +(10.0883 + 6.80943i) q^{78} +(1.26576 - 1.09679i) q^{79} +(11.3206 - 7.27528i) q^{80} +(-8.82866 + 1.74780i) q^{81} +(6.71016 + 7.74393i) q^{82} +(-3.17441 + 0.932092i) q^{83} +(0.241157 - 0.147410i) q^{84} +(-7.02034 + 8.10190i) q^{85} +(-3.32948 + 7.29054i) q^{86} +(6.03672 + 14.0481i) q^{87} +(11.7326 - 5.35808i) q^{88} +(-1.67804 - 11.6710i) q^{89} +(-10.8838 - 10.3254i) q^{90} +5.18496i q^{91} +(0.145252 + 0.769004i) q^{92} +(-2.16442 + 1.79169i) q^{93} +(-8.95619 - 5.75579i) q^{94} +(13.0090 - 1.87041i) q^{95} +(0.695014 - 1.43535i) q^{96} +(4.40231 - 14.9929i) q^{97} +(-1.23282 - 0.563009i) q^{98} +(-8.18486 - 10.3541i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q + 4 q^{3} + 40 q^{4} - 6 q^{6} - 4 q^{9}+O(q^{10}) \) 480 * q + 4 * q^3 + 40 * q^4 - 6 * q^6 - 4 * q^9	\( 480 q + 4 q^{3} + 40 q^{4} - 6 q^{6} - 4 q^{9} - 22 q^{12} + 8 q^{13} - 22 q^{15} - 24 q^{16} - 30 q^{18} - 120 q^{24} - 88 q^{25} + 16 q^{27} - 44 q^{30} + 8 q^{31} - 22 q^{33} - 44 q^{34} + 10 q^{36} - 44 q^{37} - 308 q^{40} - 44 q^{43} - 184 q^{46} + 98 q^{48} + 48 q^{49} - 28 q^{52} + 28 q^{54} - 44 q^{55} + 66 q^{57} + 4 q^{58} + 220 q^{60} + 84 q^{64} + 176 q^{66} + 44 q^{67} + 102 q^{69} - 8 q^{70} - 60 q^{72} + 4 q^{73} - 8 q^{75} + 176 q^{76} + 18 q^{78} - 16 q^{81} + 20 q^{82} - 154 q^{84} + 84 q^{85} + 28 q^{87} - 418 q^{90} - 188 q^{93} + 12 q^{94} - 412 q^{96} - 132 q^{97}+O(q^{100}) \) 480 * q + 4 * q^3 + 40 * q^4 - 6 * q^6 - 4 * q^9 - 22 * q^12 + 8 * q^13 - 22 * q^15 - 24 * q^16 - 30 * q^18 - 120 * q^24 - 88 * q^25 + 16 * q^27 - 44 * q^30 + 8 * q^31 - 22 * q^33 - 44 * q^34 + 10 * q^36 - 44 * q^37 - 308 * q^40 - 44 * q^43 - 184 * q^46 + 98 * q^48 + 48 * q^49 - 28 * q^52 + 28 * q^54 - 44 * q^55 + 66 * q^57 + 4 * q^58 + 220 * q^60 + 84 * q^64 + 176 * q^66 + 44 * q^67 + 102 * q^69 - 8 * q^70 - 60 * q^72 + 4 * q^73 - 8 * q^75 + 176 * q^76 + 18 * q^78 - 16 * q^81 + 20 * q^82 - 154 * q^84 + 84 * q^85 + 28 * q^87 - 418 * q^90 - 188 * q^93 + 12 * q^94 - 412 * q^96 - 132 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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