LMFDB - Embedded newform 350.2.x.a.3.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(3,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([21, 10]))

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

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

chi := DirichletCharacter("350.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.x (of order $60$, degree $16$, 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:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$20$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			3.13
Character	$\chi$	$=$	350.3
Dual form			350.2.x.a.117.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.544639 - 0.838671i) q^{2} +(-0.439528 + 1.14501i) q^{3} +(-0.406737 - 0.913545i) q^{4} +(-2.19147 + 0.444347i) q^{5} +(0.720902 + 0.992236i) q^{6} +(-2.02541 + 1.70227i) q^{7} +(-0.987688 - 0.156434i) q^{8} +(1.11157 + 1.00086i) q^{9} +(-0.820901 + 2.07993i) q^{10} +(-3.47341 - 3.85762i) q^{11} +(1.22479 - 0.0641885i) q^{12} +(-5.81042 - 2.96056i) q^{13} +(0.324528 + 2.62577i) q^{14} +(0.454432 - 2.70456i) q^{15} +(-0.669131 + 0.743145i) q^{16} +(-3.46131 + 4.27436i) q^{17} +(1.44480 - 0.387133i) q^{18} +(1.57686 + 0.702065i) q^{19} +(1.29728 + 1.82128i) q^{20} +(-1.05889 - 3.06731i) q^{21} +(-5.12702 + 0.812041i) q^{22} +(5.50435 + 3.57457i) q^{23} +(0.613236 - 1.06216i) q^{24} +(4.60511 - 1.94755i) q^{25} +(-5.64752 + 3.26060i) q^{26} +(-4.91295 + 2.50327i) q^{27} +(2.37891 + 1.15793i) q^{28} +(-3.54157 + 4.87455i) q^{29} +(-2.02073 - 1.85413i) q^{30} +(3.32210 - 0.349166i) q^{31} +(0.258819 + 0.965926i) q^{32} +(5.94367 - 2.28156i) q^{33} +(1.69962 + 5.23088i) q^{34} +(3.68223 - 4.63046i) q^{35} +(0.462218 - 1.42256i) q^{36} +(-0.276396 - 5.27395i) q^{37} +(1.44762 - 0.940097i) q^{38} +(5.94371 - 5.35174i) q^{39} +(2.23400 - 0.0960546i) q^{40} +(-3.17857 + 1.03278i) q^{41} +(-3.14917 - 0.782512i) q^{42} +(1.35311 + 1.35311i) q^{43} +(-2.11134 + 4.74215i) q^{44} +(-2.88071 - 1.69944i) q^{45} +(5.99577 - 2.66949i) q^{46} +(-0.0403009 + 0.0326350i) q^{47} +(-0.556806 - 1.09279i) q^{48} +(1.20455 - 6.89558i) q^{49} +(0.874770 - 4.92288i) q^{50} +(-3.37284 - 5.84193i) q^{51} +(-0.341293 + 6.51225i) q^{52} +(-7.97165 - 3.06003i) q^{53} +(-0.576363 + 5.48372i) q^{54} +(9.32601 + 6.91046i) q^{55} +(2.26676 - 1.36447i) q^{56} +(-1.49695 + 1.49695i) q^{57} +(2.15927 + 5.62508i) q^{58} +(8.83582 + 1.87811i) q^{59} +(-2.65557 + 0.684900i) q^{60} +(0.00596695 + 0.0280723i) q^{61} +(1.51651 - 2.97631i) q^{62} +(-3.95513 - 0.134961i) q^{63} +(0.951057 + 0.309017i) q^{64} +(14.0489 + 3.90614i) q^{65} +(1.32368 - 6.22740i) q^{66} +(8.67101 + 7.02164i) q^{67} +(5.31266 + 1.42352i) q^{68} +(-6.51223 + 4.73141i) q^{69} +(-1.87795 - 5.61011i) q^{70} +(-11.7493 - 8.53636i) q^{71} +(-0.941318 - 1.16243i) q^{72} +(-7.91985 - 0.415062i) q^{73} +(-4.57364 - 2.64059i) q^{74} +(0.205888 + 6.12890i) q^{75} -1.72609i q^{76} +(13.6018 + 1.90055i) q^{77} +(-1.25117 - 7.89958i) q^{78} +(-0.606037 - 0.0636970i) q^{79} +(1.13617 - 1.92591i) q^{80} +(-0.237841 - 2.26290i) q^{81} +(-0.865010 + 3.22826i) q^{82} +(-1.19525 + 7.54649i) q^{83} +(-2.37143 + 2.21493i) q^{84} +(5.68606 - 10.9052i) q^{85} +(1.87177 - 0.397857i) q^{86} +(-4.02479 - 6.19763i) q^{87} +(2.82718 + 4.35348i) q^{88} +(4.63906 - 0.986062i) q^{89} +(-2.99422 + 1.49039i) q^{90} +(16.8081 - 3.89458i) q^{91} +(1.02671 - 6.48238i) q^{92} +(-1.06036 + 3.95730i) q^{93} +(0.00542059 + 0.0515735i) q^{94} +(-3.76761 - 0.837881i) q^{95} +(-1.21975 - 0.128201i) q^{96} +(0.395936 + 2.49984i) q^{97} +(-5.12708 - 4.76582i) q^{98} -7.76444i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) $ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{7}{20}\right)$

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 $

$2$	0.544639	−	0.838671i	0.385118	−	0.593030i
$2$	0.544639	−	0.838671i	0.385118	−	0.593030i
$3$	−0.439528	+	1.14501i	−0.253762	+	0.661071i	−0.999989	−	0.00461925i	$-0.998530\pi$
$3$	−0.439528	+	1.14501i	−0.253762	+	0.661071i	0.746228	+	0.665691i	$0.231863\pi$
$4$	−0.406737	−	0.913545i	−0.203368	−	0.456773i
$5$	−2.19147	+	0.444347i	−0.980057	+	0.198718i
$5$	−2.19147	+	0.444347i	−0.980057	+	0.198718i
$6$	0.720902	+	0.992236i	0.294307	+	0.405079i
$7$	−2.02541	+	1.70227i	−0.765532	+	0.643398i
$7$	−2.02541	+	1.70227i	−0.765532	+	0.643398i
$8$	−0.987688	−	0.156434i	−0.349201	−	0.0553079i
$9$	1.11157	+	1.00086i	0.370524	+	0.333622i
$10$	−0.820901	+	2.07993i	−0.259592	+	0.657733i
$11$	−3.47341	−	3.85762i	−1.04727	−	1.16311i	−0.986298	−	0.164975i	$-0.947246\pi$
$11$	−3.47341	−	3.85762i	−1.04727	−	1.16311i	−0.0609755	−	0.998139i	$-0.519421\pi$
$12$	1.22479	−	0.0641885i	0.353566	−	0.0185296i
$13$	−5.81042	−	2.96056i	−1.61152	−	0.821111i	−0.999543	−	0.0302373i	$-0.990374\pi$
$13$	−5.81042	−	2.96056i	−1.61152	−	0.821111i	−0.611979	−	0.790874i	$-0.709626\pi$
$14$	0.324528	+	2.62577i	0.0867339	+	0.701767i
$15$	0.454432	−	2.70456i	0.117334	−	0.698315i
$16$	−0.669131	+	0.743145i	−0.167283	+	0.185786i
$17$	−3.46131	+	4.27436i	−0.839490	+	1.03668i	0.159286	+	0.987232i	$0.449081\pi$
$17$	−3.46131	+	4.27436i	−0.839490	+	1.03668i	−0.998777	+	0.0494516i	$0.984253\pi$
$18$	1.44480	−	0.387133i	0.340543	−	0.0912482i
$19$	1.57686	+	0.702065i	0.361757	+	0.161065i	0.579563	−	0.814927i	$-0.303223\pi$
$19$	1.57686	+	0.702065i	0.361757	+	0.161065i	−0.217806	+	0.975992i	$0.569890\pi$
$20$	1.29728	+	1.82128i	0.290081	+	0.407250i
$21$	−1.05889	−	3.06731i	−0.231069	−	0.669341i
$22$	−5.12702	+	0.812041i	−1.09309	+	0.173128i
$23$	5.50435	+	3.57457i	1.14774	+	0.745349i	0.971040	−	0.238916i	$-0.0767922\pi$
$23$	5.50435	+	3.57457i	1.14774	+	0.745349i	0.176697	+	0.984265i	$0.443459\pi$
$24$	0.613236	−	1.06216i	0.125176	−	0.216811i
$25$	4.60511	−	1.94755i	0.921022	−	0.389510i
$26$	−5.64752	+	3.26060i	−1.10757	+	0.639455i
$27$	−4.91295	+	2.50327i	−0.945497	+	0.481755i
$28$	2.37891	+	1.15793i	0.449572	+	0.218827i
$29$	−3.54157	+	4.87455i	−0.657653	+	0.905181i	−0.999401	−	0.0346105i	$-0.988981\pi$
$29$	−3.54157	+	4.87455i	−0.657653	+	0.905181i	0.341748	+	0.939791i	$0.388981\pi$
$30$	−2.02073	−	1.85413i	−0.368934	−	0.338516i
$31$	3.32210	−	0.349166i	0.596666	−	0.0627121i	0.198618	−	0.980077i	$-0.436355\pi$
$31$	3.32210	−	0.349166i	0.596666	−	0.0627121i	0.398048	+	0.917365i	$0.369688\pi$
$32$	0.258819	+	0.965926i	0.0457532	+	0.170753i
$33$	5.94367	−	2.28156i	1.03466	−	0.397169i
$34$	1.69962	+	5.23088i	0.291482	+	0.897088i
$35$	3.68223	−	4.63046i	0.622410	−	0.782691i
$36$	0.462218	−	1.42256i	0.0770363	−	0.237093i
$37$	−0.276396	−	5.27395i	−0.0454392	−	0.867032i	−0.922345	−	0.386368i	$-0.873729\pi$
$37$	−0.276396	−	5.27395i	−0.0454392	−	0.867032i	0.876905	−	0.480663i	$-0.159604\pi$
$38$	1.44762	−	0.940097i	0.234835	−	0.152504i
$39$	5.94371	−	5.35174i	0.951756	−	0.856965i
$40$	2.23400	−	0.0960546i	0.353227	−	0.0151876i
$41$	−3.17857	+	1.03278i	−0.496409	+	0.161293i	−0.546512	−	0.837451i	$-0.684045\pi$
$41$	−3.17857	+	1.03278i	−0.496409	+	0.161293i	0.0501036	+	0.998744i	$0.484045\pi$
$42$	−3.14917	−	0.782512i	−0.485928	−	0.120744i
$43$	1.35311	+	1.35311i	0.206347	+	0.206347i	0.802713	−	0.596366i	$-0.203389\pi$
$43$	1.35311	+	1.35311i	0.206347	+	0.206347i	−0.596366	+	0.802713i	$0.703389\pi$
$44$	−2.11134	+	4.74215i	−0.318297	+	0.714907i
$45$	−2.88071	−	1.69944i	−0.429431	−	0.253338i
$46$	5.99577	−	2.66949i	0.884028	−	0.393595i
$47$	−0.0403009	+	0.0326350i	−0.00587849	+	0.00476030i	−0.632255	−	0.774760i	$-0.717871\pi$
$47$	−0.0403009	+	0.0326350i	−0.00587849	+	0.00476030i	0.626377	+	0.779521i	$0.284537\pi$
$48$	−0.556806	−	1.09279i	−0.0803681	−	0.157731i
$49$	1.20455	−	6.89558i	0.172078	−	0.985083i
$50$	0.874770	−	4.92288i	0.123711	−	0.696201i
$51$	−3.37284	−	5.84193i	−0.472292	−	0.818034i
$52$	−0.341293	+	6.51225i	−0.0473288	+	0.903087i
$53$	−7.97165	−	3.06003i	−1.09499	−	0.420327i	−0.257222	−	0.966352i	$-0.582807\pi$
$53$	−7.97165	−	3.06003i	−1.09499	−	0.420327i	−0.837769	+	0.546025i	$0.816140\pi$
$54$	−0.576363	+	5.48372i	−0.0784330	+	0.746240i
$55$	9.32601	+	6.91046i	1.25752	+	0.931806i
$56$	2.26676	−	1.36447i	0.302909	−	0.182335i
$57$	−1.49695	+	1.49695i	−0.198275	+	0.198275i
$58$	2.15927	+	5.62508i	0.283525	+	0.738609i
$59$	8.83582	+	1.87811i	1.15033	+	0.244509i	0.743333	−	0.668922i	$-0.233244\pi$
$59$	8.83582	+	1.87811i	1.15033	+	0.244509i	0.406993	+	0.913431i	$0.366577\pi$
$60$	−2.65557	+	0.684900i	−0.342833	+	0.0884201i
$61$	0.00596695	+	0.0280723i	0.000763990	+	0.00359429i	0.978528	−	0.206114i	$-0.0660818\pi$
$61$	0.00596695	+	0.0280723i	0.000763990	+	0.00359429i	−0.977764	+	0.209708i	$0.932749\pi$
$62$	1.51651	−	2.97631i	0.192597	−	0.377992i
$63$	−3.95513	−	0.134961i	−0.498300	−	0.0170035i
$64$	0.951057	+	0.309017i	0.118882	+	0.0386271i
$65$	14.0489	+	3.90614i	1.74255	+	0.484497i
$66$	1.32368	−	6.22740i	0.162933	−	0.766541i
$67$	8.67101	+	7.02164i	1.05933	+	0.857830i	0.990183	−	0.139776i	$-0.0446383\pi$
$67$	8.67101	+	7.02164i	1.05933	+	0.857830i	0.0691490	+	0.997606i	$0.477972\pi$
$68$	5.31266	+	1.42352i	0.644255	+	0.172628i
$69$	−6.51223	+	4.73141i	−0.783980	+	0.569595i
$70$	−1.87795	−	5.61011i	−0.224458	−	0.670536i
$71$	−11.7493	−	8.53636i	−1.39438	−	1.01308i	−0.995368	−	0.0961351i	$-0.969352\pi$
$71$	−11.7493	−	8.53636i	−1.39438	−	1.01308i	−0.399016	−	0.916944i	$-0.630648\pi$
$72$	−0.941318	−	1.16243i	−0.110935	−	0.136994i
$73$	−7.91985	−	0.415062i	−0.926949	−	0.0485793i	−0.417116	−	0.908853i	$-0.636959\pi$
$73$	−7.91985	−	0.415062i	−0.926949	−	0.0485793i	−0.509832	+	0.860274i	$0.670293\pi$
$74$	−4.57364	−	2.64059i	−0.531675	−	0.306963i
$75$	0.205888	+	6.12890i	0.0237739	+	0.707704i
$76$		−	1.72609i		−	0.197996i
$77$	13.6018	+	1.90055i	1.55007	+	0.216588i
$78$	−1.25117	−	7.89958i	−0.141667	−	0.894452i
$79$	−0.606037	−	0.0636970i	−0.0681844	−	0.00716647i	0.0703748	−	0.997521i	$-0.477580\pi$
$79$	−0.606037	−	0.0636970i	−0.0681844	−	0.00716647i	−0.138559	+	0.990354i	$0.544247\pi$
$80$	1.13617	−	1.92591i	0.127027	−	0.215323i
$81$	−0.237841	−	2.26290i	−0.0264268	−	0.251434i
$82$	−0.865010	+	3.22826i	−0.0955244	+	0.356502i
$83$	−1.19525	+	7.54649i	−0.131195	+	0.828335i	0.831059	+	0.556184i	$0.187735\pi$
$83$	−1.19525	+	7.54649i	−0.131195	+	0.828335i	−0.962255	+	0.272151i	$0.912265\pi$
$84$	−2.37143	+	2.21493i	−0.258745	+	0.241669i
$85$	5.68606	−	10.9052i	0.616740	−	1.18283i
$86$	1.87177	−	0.397857i	0.201838	−	0.0429020i
$87$	−4.02479	−	6.19763i	−0.431502	−	0.664455i
$88$	2.82718	+	4.35348i	0.301379	+	0.464083i
$89$	4.63906	−	0.986062i	0.491739	−	0.104522i	0.0446332	−	0.999003i	$-0.485788\pi$
$89$	4.63906	−	0.986062i	0.491739	−	0.104522i	0.447106	+	0.894481i	$0.352455\pi$
$90$	−2.99422	+	1.49039i	−0.315619	+	0.157101i
$91$	16.8081	−	3.89458i	1.76197	−	0.408263i
$92$	1.02671	−	6.48238i	0.107042	−	0.675835i
$93$	−1.06036	+	3.95730i	−0.109954	+	0.410353i
$94$	0.00542059	+	0.0515735i	0.000559091	+	0.00531940i
$95$	−3.76761	−	0.837881i	−0.386549	−	0.0859648i
$96$	−1.21975	−	0.128201i	−0.124490	−	0.0130845i
$97$	0.395936	+	2.49984i	0.0402012	+	0.253820i	0.999602	−	0.0282276i	$-0.00898632\pi$
$97$	0.395936	+	2.49984i	0.0402012	+	0.253820i	−0.959400	+	0.282048i	$0.908986\pi$
$98$	−5.12708	−	4.76582i	−0.517913	−	0.481421i
$99$		−	7.76444i		−	0.780355i
$100$	−3.65224	−	3.41484i	−0.365224	−	0.341484i
$101$	−11.6554	−	6.72924i	−1.15975	−	0.669585i	−0.208510	−	0.978020i	$-0.566861\pi$
$101$	−11.6554	−	6.72924i	−1.15975	−	0.669585i	−0.951245	+	0.308436i	$0.900195\pi$
$102$	−6.73643	−	0.353041i	−0.667006	−	0.0349563i
$103$	2.53645	+	3.13226i	0.249924	+	0.308630i	0.886633	−	0.462474i	$-0.153038\pi$
$103$	2.53645	+	3.13226i	0.249924	+	0.308630i	−0.636709	+	0.771104i	$0.719705\pi$
$104$	5.27575	+	3.83306i	0.517330	+	0.375862i
$105$	3.68348	+	6.25140i	0.359471	+	0.610074i
$106$	−6.90803	+	5.01898i	−0.670967	+	0.487486i
$107$	−6.82981	−	1.83004i	−0.660263	−	0.176917i	−0.0868981	−	0.996217i	$-0.527695\pi$
$107$	−6.82981	−	1.83004i	−0.660263	−	0.176917i	−0.573365	+	0.819300i	$0.694362\pi$
$108$	4.28513	+	3.47003i	0.412337	+	0.333904i
$109$	−0.682942	+	3.21299i	−0.0654140	+	0.307749i	−0.998676	−	0.0514486i	$-0.983616\pi$
$109$	−0.682942	+	3.21299i	−0.0654140	+	0.307749i	0.933262	+	0.359197i	$0.116950\pi$
$110$	10.8749	−	4.05774i	1.03688	−	0.386891i
$111$	6.16020	+	2.00157i	0.584701	+	0.189981i
$112$	0.0902284	−	2.64421i	0.00852578	−	0.249855i
$113$	−6.94368	+	13.6277i	−0.653207	+	1.28199i	0.292281	+	0.956333i	$0.405586\pi$
$113$	−6.94368	+	13.6277i	−0.653207	+	1.28199i	−0.945488	+	0.325658i	$0.894414\pi$
$114$	0.440149	+	2.07074i	0.0412238	+	0.193943i
$115$	−13.6510	−	5.38773i	−1.27296	−	0.502408i
$116$	5.89361	+	1.25272i	0.547208	+	0.116313i
$117$	−3.49559	−	9.10633i	−0.323168	−	0.841880i
$118$	6.38745	−	6.38745i	0.588012	−	0.588012i
$119$	−0.265558	−	14.5494i	−0.0243437	−	1.33374i
$120$	−0.871924	+	2.60017i	−0.0795954	+	0.237362i
$121$	−1.66679	+	15.8584i	−0.151526	+	1.44168i
$122$	0.0267933	+	0.0102850i	0.00242575	+	0.000931157i
$123$	0.214527	−	4.09342i	0.0193433	−	0.369092i
$124$	−1.67020	−	2.89287i	−0.149988	−	0.259787i
$125$	−9.22659	+	6.31427i	−0.825251	+	0.564766i
$126$	−2.26731	+	3.24355i	−0.201988	+	0.288958i
$127$	−3.96107	−	7.77403i	−0.351488	−	0.689834i	0.645794	−	0.763511i	$-0.276526\pi$
$127$	−3.96107	−	7.77403i	−0.351488	−	0.689834i	−0.997282	+	0.0736779i	$0.976526\pi$
$128$	0.777146	−	0.629320i	0.0686906	−	0.0556246i
$129$	−2.14405	+	0.954593i	−0.188773	+	0.0840472i
$130$	10.9275	−	9.65497i	0.958409	−	0.846797i
$131$	3.57192	−	8.02267i	0.312080	−	0.700944i	−0.687604	−	0.726086i	$-0.741337\pi$
$131$	3.57192	−	8.02267i	0.312080	−	0.700944i	0.999684	+	0.0251425i	$0.00800395\pi$
$132$	−4.50182	−	4.50182i	−0.391833	−	0.391833i
$133$	−4.38889	+	1.26228i	−0.380565	+	0.109454i
$134$	10.6114	−	3.44786i	0.916687	−	0.297850i
$135$	9.65427	−	7.66891i	0.830907	−	0.660035i
$136$	4.08735	−	3.68027i	0.350487	−	0.315580i
$137$	−10.1681	+	6.60325i	−0.868721	+	0.564154i	−0.900262	−	0.435348i	$-0.856625\pi$
$137$	−10.1681	+	6.60325i	−0.868721	+	0.564154i	0.0315410	+	0.999502i	$0.489959\pi$
$138$	0.421281	+	8.03853i	0.0358619	+	0.684285i
$139$	−0.308910	+	0.950726i	−0.0262014	+	0.0806395i	−0.963302	−	0.268419i	$-0.913499\pi$
$139$	−0.308910	+	0.950726i	−0.0262014	+	0.0806395i	0.937101	+	0.349059i	$0.113499\pi$
$140$	−5.72784	−	1.48050i	−0.484091	−	0.125125i
$141$	−0.0196540	−	0.0604889i	−0.00165517	−	0.00509408i
$142$	−13.5583	+	5.20455i	−1.13779	+	0.436756i
$143$	8.76130	+	32.6976i	0.732657	+	2.73431i
$144$	−1.48757	+	0.156350i	−0.123965	+	0.0130292i
$145$	5.59526	−	12.2561i	0.464661	−	1.01782i
$146$	−4.66156	+	6.41609i	−0.385794	+	0.530999i
$147$	7.36607	+	4.41002i	0.607544	+	0.363732i
$148$	−4.70557	+	2.39761i	−0.386795	+	0.197082i
$149$	−0.386099	+	0.222915i	−0.0316305	+	0.0182619i	−0.515732	−	0.856750i	$-0.672480\pi$
$149$	−0.386099	+	0.222915i	−0.0316305	+	0.0182619i	0.484101	+	0.875012i	$0.339147\pi$
$150$	5.25226	+	3.16536i	0.428845	+	0.258451i
$151$	−0.589415	+	1.02090i	−0.0479659	+	0.0830794i	−0.889012	−	0.457885i	$-0.848607\pi$
$151$	−0.589415	+	1.02090i	−0.0479659	+	0.0830794i	0.841046	+	0.540964i	$0.181941\pi$
$152$	−1.44762	−	0.940097i	−0.117418	−	0.0762519i
$153$	−8.12555	+	1.28696i	−0.656912	+	0.104045i
$154$	9.00200	−	10.3723i	0.725402	−	0.835823i
$155$	−7.12513	+	2.24135i	−0.572305	+	0.180030i
$156$	−7.30658	−	3.25310i	−0.584995	−	0.260457i
$157$	6.59584	−	1.76735i	0.526405	−	0.141050i	0.0141774	−	0.999899i	$-0.495487\pi$
$157$	6.59584	−	1.76735i	0.526405	−	0.141050i	0.512228	+	0.858850i	$0.328820\pi$
$158$	−0.383492	+	0.473573i	−0.0305090	+	0.0376755i
$159$	7.00753	−	7.78265i	0.555733	−	0.617204i
$160$	−0.996401	−	2.00180i	−0.0787725	−	0.158256i
$161$	−17.2334	+	2.12994i	−1.35819	+	0.167863i
$162$	−2.02737	−	1.03300i	−0.159285	−	0.0811598i
$163$	9.18277	−	0.481249i	0.719250	−	0.0376943i	0.310800	−	0.950475i	$-0.399403\pi$
$163$	9.18277	−	0.481249i	0.719250	−	0.0376943i	0.408450	+	0.912781i	$0.366070\pi$
$164$	2.23633	+	2.48370i	0.174628	+	0.193944i
$165$	−12.0116	+	7.64103i	−0.935100	+	0.594853i
$166$	5.67804	+	5.11253i	0.440702	+	0.396809i
$167$	11.3486	+	1.79744i	0.878181	+	0.139090i	0.579216	−	0.815174i	$-0.303359\pi$
$167$	11.3486	+	1.79744i	0.878181	+	0.139090i	0.298965	+	0.954264i	$0.403359\pi$
$168$	0.566024	+	3.19519i	0.0436697	+	0.246514i
$169$	17.3549	+	23.8870i	1.33499	+	1.83746i
$170$	−6.04899	−	10.7081i	−0.463936	−	0.821275i
$171$	1.05013	+	2.35862i	0.0803052	+	0.180368i
$172$	0.685767	−	1.78649i	0.0522893	−	0.136218i
$173$	−13.3260	+	20.5202i	−1.01315	+	1.56012i	−0.198562	+	0.980088i	$0.563627\pi$
$173$	−13.3260	+	20.5202i	−1.01315	+	1.56012i	−0.814593	+	0.580033i	$0.803040\pi$
$174$	−7.38982			−0.560221
$175$	−6.01197	+	11.7837i	−0.454462	+	0.890766i
$176$	5.19093			0.391281
$177$	−6.03404	+	9.29161i	−0.453546	+	0.698400i
$178$	1.69963	−	4.42769i	0.127393	−	0.331869i
$179$	4.98447	+	11.1953i	0.372557	+	0.836776i	0.998385	+	0.0568148i	$0.0180945\pi$
$179$	4.98447	+	11.1953i	0.372557	+	0.836776i	−0.625828	+	0.779961i	$0.715239\pi$
$180$	−0.380828	+	3.32289i	−0.0283852	+	0.247674i
$181$	−5.17536	−	7.12328i	−0.384682	−	0.529469i	0.572136	−	0.820159i	$-0.306115\pi$
$181$	−5.17536	−	7.12328i	−0.384682	−	0.529469i	−0.956817	+	0.290690i	$0.906115\pi$
$182$	5.88811	−	16.2176i	0.436455	−	1.20213i
$183$	−0.0347657	−	0.00550635i	−0.00256995	−	0.000407041i
$184$	−4.87740	−	4.39163i	−0.359567	−	0.323755i
$185$	2.94918	+	11.4349i	0.216828	+	0.840710i
$186$	2.74136	+	3.04459i	0.201006	+	0.223240i
$187$	28.5114	−	1.49422i	2.08496	−	0.109268i
$188$	0.0462054	+	0.0235428i	0.00336988	+	0.00171704i
$189$	5.68947	−	13.4333i	0.413848	−	0.977130i
$190$	−2.75470	+	2.70344i	−0.199847	+	0.196128i
$191$	−10.0708	+	11.1847i	−0.728695	+	0.809298i	−0.987664	−	0.156588i	$-0.949951\pi$
$191$	−10.0708	+	11.1847i	−0.728695	+	0.809298i	0.258969	+	0.965886i	$0.416617\pi$
$192$	−0.771843	+	0.953147i	−0.0557030	+	0.0687875i
$193$	2.54762	−	0.682634i	0.183382	−	0.0491370i	−0.165959	−	0.986133i	$-0.553072\pi$
$193$	2.54762	−	0.682634i	0.183382	−	0.0491370i	0.349341	+	0.936996i	$0.386405\pi$
$194$	2.31218	+	1.02945i	0.166005	+	0.0739102i
$195$	−10.6475	+	14.3693i	−0.762480	+	1.02900i
$196$	−6.78936	+	1.70428i	−0.484954	+	0.121734i
$197$	−18.6113	+	2.94774i	−1.32600	+	0.210017i	−0.778951	−	0.627084i	$-0.784248\pi$
$197$	−18.6113	+	2.94774i	−1.32600	+	0.210017i	−0.547047	+	0.837102i	$0.684248\pi$
$198$	−6.51180	−	4.22881i	−0.462774	−	0.300529i
$199$	−4.60081	+	7.96884i	−0.326143	+	0.564896i	−0.981743	−	0.190212i	$-0.939082\pi$
$199$	−4.60081	+	7.96884i	−0.326143	+	0.564896i	0.655600	+	0.755108i	$0.272416\pi$
$200$	−4.85308	+	1.20317i	−0.343164	+	0.0850773i
$201$	−11.8510	+	6.84218i	−0.835905	+	0.482610i
$202$	−11.9916	+	6.11002i	−0.843726	+	0.429900i
$203$	−1.12469	−	15.9017i	−0.0789375	−	1.11608i
$204$	−3.96501	+	5.45737i	−0.277606	+	0.382092i
$205$	6.50683	−	3.67569i	0.454457	−	0.256722i
$206$	4.00838	−	0.421298i	0.279277	−	0.0293532i
$207$	2.54083	+	9.48251i	0.176600	+	0.659080i
$208$	6.08806	−	2.33699i	0.422131	−	0.162041i
$209$	−2.76880	−	8.52149i	−0.191522	−	0.589444i
$210$	7.24904	+	0.315528i	0.500231	+	0.0217735i
$211$	2.02826	−	6.24235i	0.139631	−	0.429741i	−0.856650	−	0.515898i	$-0.827458\pi$
$211$	2.02826	−	6.24235i	0.139631	−	0.429741i	0.996282	+	0.0861564i	$0.0274585\pi$
$212$	0.446886	+	8.52709i	0.0306922	+	0.585643i
$213$	14.9383	−	9.70108i	1.02356	−	0.664707i
$214$	−5.25458	+	4.73125i	−0.359196	+	0.323422i
$215$	−3.56655	−	2.36405i	−0.243237	−	0.161227i
$216$	5.24406	−	1.70390i	0.356813	−	0.115936i
$217$	−6.13422	+	6.36231i	−0.416418	+	0.431902i
$218$	2.32268	+	2.32268i	0.157312	+	0.157312i
$219$	3.95625	−	8.88587i	0.267338	−	0.600452i
$220$	2.51979	−	11.3305i	0.169884	−	0.763900i
$221$	32.7661	−	14.5884i	2.20409	−	0.981324i
$222$	5.03375	−	4.07625i	0.337843	−	0.273580i
$223$	−11.5903	−	22.7472i	−0.776144	−	1.52327i	−0.850464	−	0.526033i	$-0.823679\pi$
$223$	−11.5903	−	22.7472i	−0.776144	−	1.52327i	0.0743205	−	0.997234i	$-0.476321\pi$
$224$	−2.16848	−	1.51581i	−0.144888	−	0.101280i
$225$	7.06815	+	2.44425i	0.471210	+	0.162950i
$226$	7.64739	+	13.2457i	0.508697	+	0.881089i
$227$	1.27495	−	24.3275i	0.0846213	−	1.61467i	−0.545457	−	0.838139i	$-0.683644\pi$
$227$	1.27495	−	24.3275i	0.0846213	−	1.61467i	0.630078	−	0.776532i	$-0.283023\pi$
$228$	1.97639	+	0.758665i	0.130890	+	0.0502438i
$229$	−0.292657	+	2.78444i	−0.0193393	+	0.184001i	−0.999927	−	0.0120796i	$-0.996155\pi$
$229$	−0.292657	+	2.78444i	−0.0193393	+	0.184001i	0.980588	+	0.196081i	$0.0628215\pi$
$230$	−11.9534	+	8.51432i	−0.788183	+	0.561417i
$231$	−8.15451	+	14.7388i	−0.536528	+	0.969743i
$232$	4.26051	−	4.26051i	0.279716	−	0.279716i
$233$	−3.80581	−	9.91447i	−0.249327	−	0.649519i	0.750610	−	0.660745i	$-0.229760\pi$
$233$	−3.80581	−	9.91447i	−0.249327	−	0.649519i	−0.999937	+	0.0112268i	$0.996426\pi$
$234$	−9.54104	−	2.02801i	−0.623717	−	0.132575i
$235$	0.0738170	−	0.0894263i	0.00481529	−	0.00583353i
$236$	−1.87811	−	8.83582i	−0.122255	−	0.575163i
$237$	0.339304	−	0.665921i	0.0220401	−	0.0432562i
$238$	−12.3468	−	7.70145i	−0.800323	−	0.499211i
$239$	−20.4163	−	6.63365i	−1.32062	−	0.429095i	−0.437911	−	0.899018i	$-0.644282\pi$
$239$	−20.4163	−	6.63365i	−1.32062	−	0.429095i	−0.882707	+	0.469923i	$0.844282\pi$
$240$	1.70581	+	2.14741i	0.110109	+	0.138615i
$241$	−0.903557	+	4.25090i	−0.0582032	+	0.273825i	−0.997620	−	0.0689526i	$-0.978034\pi$
$241$	−0.903557	+	4.25090i	−0.0582032	+	0.273825i	0.939417	+	0.342777i	$0.111368\pi$
$242$	12.3922	+	10.0350i	0.796601	+	0.645075i
$243$	−13.2826	−	3.55905i	−0.852077	−	0.228313i
$244$	0.0232183	−	0.0168691i	0.00148640	−	0.00107993i
$245$	0.424295	+	15.6467i	0.0271072	+	0.999633i
$246$	−3.31619	−	2.40936i	−0.211433	−	0.153615i
$247$	−7.08374	−	8.74769i	−0.450728	−	0.556602i
$248$	−3.33582	−	0.174823i	−0.211825	−	0.0111013i
$249$	−8.11546	−	4.68546i	−0.514296	−	0.296929i
$250$	0.270433	+	11.1771i	0.0171037	+	0.706900i
$251$			1.55927i			0.0984201i	0.998788	+	0.0492101i	$0.0156704\pi$
$251$			1.55927i			0.0984201i	−0.998788	+	0.0492101i	$0.984330\pi$
$252$	1.48540	+	3.66808i	0.0935716	+	0.231068i
$253$	−5.32958	−	33.6496i	−0.335068	−	2.11553i
$254$	−8.67720	−	0.912010i	−0.544456	−	0.0572246i
$255$	9.98733	+	11.3037i	0.625431	+	0.707866i
$256$	−0.104528	−	0.994522i	−0.00653303	−	0.0621576i
$257$	4.79177	−	17.8831i	0.298902	−	1.11552i	−0.639166	−	0.769069i	$-0.720720\pi$
$257$	4.79177	−	17.8831i	0.298902	−	1.11552i	0.938068	−	0.346450i	$-0.112613\pi$
$258$	−0.367145	+	2.31806i	−0.0228574	+	0.144316i
$259$	9.53750	+	10.2114i	0.592631	+	0.634505i
$260$	−2.14577	−	14.4231i	−0.133075	−	0.894482i
$261$	−8.81547	+	1.87379i	−0.545664	+	0.115984i
$262$	−4.78297	−	7.36512i	−0.295493	−	0.455019i
$263$	4.78214	+	7.36386i	0.294880	+	0.454075i	0.954795	−	0.297265i	$-0.0960745\pi$
$263$	4.78214	+	7.36386i	0.294880	+	0.454075i	−0.659915	+	0.751340i	$0.729408\pi$
$264$	−6.22740	+	1.32368i	−0.383270	+	0.0814666i
$265$	18.8294	+	3.16379i	1.15668	+	0.194350i
$266$	−1.33173	+	4.36832i	−0.0816533	+	0.267839i
$267$	−0.909944	+	5.74516i	−0.0556877	+	0.351598i
$268$	2.88777	−	10.7773i	0.176399	−	0.658330i
$269$	2.53844	+	24.1517i	0.154771	+	1.47255i	0.745945	+	0.666008i	$0.231998\pi$
$269$	2.53844	+	24.1517i	0.154771	+	1.47255i	−0.591173	+	0.806544i	$0.701335\pi$
$270$	−1.17359	−	12.2735i	−0.0714227	−	0.746944i
$271$	−2.69878	−	0.283654i	−0.163939	−	0.0172307i	0.0222031	−	0.999753i	$-0.492932\pi$
$271$	−2.69878	−	0.283654i	−0.163939	−	0.0172307i	−0.186143	+	0.982523i	$0.559599\pi$
$272$	−0.860401	−	5.43236i	−0.0521695	−	0.329385i
$273$	−2.92832	+	20.9573i	−0.177230	+	1.26839i
$274$			12.1241i			0.732443i
$275$	−23.5083	−	11.0001i	−1.41761	−	0.663331i
$276$	6.97112	+	4.02478i	0.419612	+	0.242263i
$277$	−23.1597	−	1.21375i	−1.39153	−	0.0729271i	−0.658223	−	0.752823i	$-0.728692\pi$
$277$	−23.1597	−	1.21375i	−1.39153	−	0.0729271i	−0.733309	+	0.679896i	$0.762025\pi$
$278$	0.629102	+	0.776876i	0.0377310	+	0.0465939i
$279$	4.04222	+	2.93684i	0.242001	+	0.175824i
$280$	−4.36126	+	3.99743i	−0.260635	+	0.238892i
$281$	18.4498	−	13.4046i	1.10062	−	0.799649i	0.119461	−	0.992839i	$-0.461883\pi$
$281$	18.4498	−	13.4046i	1.10062	−	0.799649i	0.981161	+	0.193190i	$0.0618835\pi$
$282$	−0.0614346	−	0.0164613i	−0.00365838	−	0.000980259i
$283$	13.6660	+	11.0665i	0.812356	+	0.657833i	0.942702	−	0.333635i	$-0.108275\pi$
$283$	13.6660	+	11.0665i	0.812356	+	0.657833i	−0.130346	+	0.991469i	$0.541609\pi$
$284$	−3.01948	+	14.2056i	−0.179173	+	0.842945i
$285$	2.61535	−	3.94568i	0.154920	−	0.233722i
$286$	32.1943	+	10.4606i	1.90369	+	0.618546i
$287$	4.67982	−	7.50258i	0.276241	−	0.442863i
$288$	−0.679065	+	1.33274i	−0.0400143	+	0.0785324i
$289$	−2.75499	−	12.9612i	−0.162058	−	0.762425i
$290$	−7.23146	−	11.3677i	−0.424646	−	0.667537i
$291$	−3.03636	−	0.645399i	−0.177995	−	0.0378340i
$292$	2.84212	+	7.40397i	0.166322	+	0.433284i
$293$	6.23520	−	6.23520i	0.364264	−	0.364264i	−0.501116	−	0.865380i	$-0.667077\pi$
$293$	6.23520	−	6.23520i	0.364264	−	0.364264i	0.865380	+	0.501116i	$0.167077\pi$
$294$	7.71041	−	3.77584i	0.449680	−	0.220211i
$295$	−20.1980	−	0.189660i	−1.17597	−	0.0110424i
$296$	−0.552034	+	5.25225i	−0.0320863	+	0.305281i
$297$	26.7214	+	10.2574i	1.55053	+	0.595193i
$298$	−0.0233329	+	0.445218i	−0.00135164	+	0.0257908i
$299$	−21.3999	−	37.0657i	−1.23759	−	2.14357i
$300$	5.51528	−	2.68094i	0.318425	−	0.154784i
$301$	−5.04395	−	0.437239i	−0.290729	−	0.0252020i
$302$	0.535177	+	1.05034i	0.0307960	+	0.0604406i
$303$	12.8279	−	10.3878i	0.736944	−	0.596766i
$304$	−1.57686	+	0.702065i	−0.0904393	+	0.0402662i
$305$	−0.0255503	−	0.0588683i	−0.00146300	−	0.00337079i
$306$	−3.34616	+	7.51559i	−0.191287	+	0.429638i
$307$	−8.98433	−	8.98433i	−0.512763	−	0.512763i	0.402609	−	0.915372i	$-0.368103\pi$
$307$	−8.98433	−	8.98433i	−0.512763	−	0.512763i	−0.915372	+	0.402609i	$0.868103\pi$
$308$	−3.79610	−	13.1989i	−0.216303	−	0.752075i
$309$	−4.70130	+	1.52755i	−0.267448	+	0.0868991i
$310$	−2.00087	+	7.19637i	−0.113642	+	0.408726i
$311$	−20.1527	+	18.1456i	−1.14276	+	1.02894i	−0.143527	+	0.989646i	$0.545845\pi$
$311$	−20.1527	+	18.1456i	−1.14276	+	1.02894i	−0.999228	+	0.0392950i	$0.987489\pi$
$312$	−6.70773	+	4.35605i	−0.379750	+	0.246613i
$313$	0.0632325	+	1.20655i	0.00357411	+	0.0681982i	0.999834	−	0.0182064i	$-0.00579558\pi$
$313$	0.0632325	+	1.20655i	0.00357411	+	0.0681982i	−0.996260	+	0.0864045i	$0.972462\pi$
$314$	2.11013	−	6.49430i	0.119081	−	0.366495i
$315$	8.72753	−	1.46169i	0.491741	−	0.0823568i
$316$	0.188307	+	0.579550i	0.0105931	+	0.0326022i
$317$	19.2954	−	7.40679i	1.08374	−	0.416007i	0.250042	−	0.968235i	$-0.419556\pi$
$317$	19.2954	−	7.40679i	1.08374	−	0.416007i	0.833693	+	0.552228i	$0.186222\pi$
$318$	−2.71050	−	10.1157i	−0.151998	−	0.567262i
$319$	31.1055	−	3.26932i	1.74157	−	0.183047i
$320$	−2.22153	−	0.254603i	−0.124187	−	0.0142328i
$321$	5.09731	−	7.01584i	0.284504	−	0.391586i
$322$	−7.59968	+	15.6132i	−0.423514	+	0.870091i
$323$	−8.45888	+	4.31002i	−0.470665	+	0.239816i
$324$	−1.97053	+	1.13768i	−0.109474	+	0.0632047i
$325$	−32.5235	−	2.31761i	−1.80408	−	0.128558i
$326$	4.59769	−	7.96343i	0.254642	−	0.441053i
$327$	−3.37873	−	2.19417i	−0.186844	−	0.121338i
$328$	3.30100	−	0.522826i	0.182267	−	0.0288683i
$329$	0.0260721	−	0.134702i	0.00143740	−	0.00742637i
$330$	−0.133670	+	14.2354i	−0.00735831	+	0.783631i
$331$	28.9467	+	12.8879i	1.59105	+	0.708383i	0.995485	−	0.0949206i	$-0.0302597\pi$
$331$	28.9467	+	12.8879i	1.59105	+	0.708383i	0.595570	+	0.803304i	$0.296926\pi$
$332$	7.38021	−	1.97752i	0.405042	−	0.108531i
$333$	4.97127	−	6.13901i	0.272424	−	0.336416i
$334$	7.68835	−	8.53878i	0.420688	−	0.467221i
$335$	−22.1223	−	11.5348i	−1.20867	−	0.630214i
$336$	2.98799	+	1.26552i	0.163008	+	0.0690396i
$337$	22.1530	+	11.2875i	1.20675	+	0.614871i	0.937428	−	0.348178i	$-0.113200\pi$
$337$	22.1530	+	11.2875i	1.20675	+	0.614871i	0.269325	+	0.963049i	$0.413200\pi$
$338$	29.4855	−	1.54527i	1.60380	−	0.0840515i
$339$	−12.5520	−	13.9404i	−0.681729	−	0.757136i
$340$	−12.2751	−	0.758947i	−0.665710	−	0.0411597i
$341$	−12.8860	−	11.6026i	−0.697814	−	0.628314i
$342$	2.55005	+	0.403888i	0.137891	+	0.0218398i
$343$	9.29845	+	16.0168i	0.502069	+	0.864828i
$344$	−1.12478	−	1.54812i	−0.0606439	−	0.0834692i
$345$	12.1690	−	13.2625i	0.655156	−	0.714027i
$346$	9.95184	+	22.3522i	0.535014	+	1.20166i
$347$	−5.76376	+	15.0151i	−0.309415	+	0.806053i	0.687398	+	0.726281i	$0.258753\pi$
$347$	−5.76376	+	15.0151i	−0.309415	+	0.806053i	−0.996813	+	0.0797724i	$0.974581\pi$
$348$	−4.02479	+	6.19763i	−0.215751	+	0.332228i
$349$	19.3446			1.03549			0.517747	−	0.855534i	$-0.326771\pi$
$349$	19.3446			1.03549			0.517747	+	0.855534i	$0.326771\pi$
$350$	6.60831	+	11.4599i	0.353229	+	0.612560i
$351$	35.9574			1.91926
$352$	2.82718	−	4.35348i	0.150689	−	0.232041i
$353$	12.1263	−	31.5902i	0.645420	−	1.68138i	−0.0832643	−	0.996528i	$-0.526535\pi$
$353$	12.1263	−	31.5902i	0.645420	−	1.68138i	0.728684	−	0.684850i	$-0.240132\pi$
$354$	4.50623	+	10.1211i	0.239503	+	0.537933i
$355$	29.5414	+	13.4864i	1.56789	+	0.715786i
$356$	−2.78769	−	3.83692i	−0.147747	−	0.203356i
$357$	16.7759	+	6.09080i	0.887876	+	0.322359i
$358$	12.1039	+	1.91707i	0.639711	+	0.101320i
$359$	14.1231	+	12.7165i	0.745390	+	0.671152i	0.951594	−	0.307357i	$-0.0994444\pi$
$359$	14.1231	+	12.7165i	0.745390	+	0.671152i	−0.206204	+	0.978509i	$0.566111\pi$
$360$	2.57940	+	2.12916i	0.135946	+	0.112217i
$361$	−10.7199	−	11.9056i	−0.564204	−	0.626612i
$362$	−8.79279	+	0.460810i	−0.462139	+	0.0242197i
$363$	−17.4255	−	8.87871i	−0.914599	−	0.466012i
$364$	−10.3944	−	13.7709i	−0.544813	−	0.721793i
$365$	17.5406	−	2.60957i	0.918116	−	0.136591i
$366$	−0.0235528	+	0.0261580i	−0.00123112	+	0.00136730i
$367$	4.99103	−	6.16340i	0.260529	−	0.321727i	−0.630050	−	0.776554i	$-0.716966\pi$
$367$	4.99103	−	6.16340i	0.260529	−	0.321727i	0.890580	+	0.454827i	$0.150299\pi$
$368$	−6.33955	+	1.69868i	−0.330472	+	0.0885497i
$369$	−4.56688	−	2.03331i	−0.237742	−	0.105850i
$370$	11.1964	+	3.75450i	0.582071	+	0.195187i
$371$	21.3548	−	7.37210i	1.10869	−	0.382740i
$372$	4.04646	−	0.640896i	0.209799	−	0.0332289i
$373$	22.1386	+	14.3770i	1.14629	+	0.744411i	0.970757	−	0.240063i	$-0.0771680\pi$
$373$	22.1386	+	14.3770i	1.14629	+	0.744411i	0.175534	+	0.984473i	$0.443835\pi$
$374$	14.2752	−	24.7255i	0.738156	−	1.27852i
$375$	−3.17456	−	13.3398i	−0.163933	−	0.688866i
$376$	0.0449099	−	0.0259288i	0.00231605	−	0.00133717i
$377$	35.0094	−	17.8382i	1.80308	−	0.918713i
$378$	−8.16741	−	12.0879i	−0.420086	−	0.621735i
$379$	−7.45404	+	10.2596i	−0.382889	+	0.527001i	−0.956347	−	0.292234i	$-0.905601\pi$
$379$	−7.45404	+	10.2596i	−0.382889	+	0.527001i	0.573458	+	0.819235i	$0.305601\pi$
$380$	0.766984	+	3.78268i	0.0393454	+	0.194048i
$381$	10.6423	−	1.11855i	0.545223	−	0.0573053i
$382$	3.89536	+	14.5377i	0.199304	+	0.743813i
$383$	3.46197	−	1.32893i	0.176899	−	0.0679050i	−0.268307	−	0.963334i	$-0.586464\pi$
$383$	3.46197	−	1.32893i	0.176899	−	0.0679050i	0.445205	+	0.895429i	$0.353131\pi$
$384$	0.379000	+	1.16644i	0.0193408	+	0.0595248i
$385$	−30.6524	+	1.87890i	−1.56219	+	0.0957576i
$386$	0.815030	−	2.50841i	0.0414840	−	0.127674i
$387$	0.149800	+	2.85836i	0.00761477	+	0.145298i
$388$	2.12268	−	1.37848i	0.107762	−	0.0699818i
$389$	−3.76366	+	3.38881i	−0.190825	+	0.171820i	−0.759005	−	0.651085i	$-0.774314\pi$
$389$	−3.76366	+	3.38881i	−0.190825	+	0.171820i	0.568180	+	0.822904i	$0.307648\pi$
$390$	6.25207	+	16.7558i	0.316586	+	0.848461i
$391$	−34.3312	+	11.1549i	−1.73621	+	0.564127i
$392$	−2.26843	+	6.62225i	−0.114573	+	0.334474i
$393$	7.61607	+	7.61607i	0.384180	+	0.384180i
$394$	−7.66425	+	17.2142i	−0.386119	+	0.867238i
$395$	1.35642	−	0.129700i	0.0682487	−	0.00652593i
$396$	−7.09317	+	3.15808i	−0.356445	+	0.158700i
$397$	−3.76869	+	3.05182i	−0.189145	+	0.153167i	−0.719216	−	0.694787i	$-0.755499\pi$
$397$	−3.76869	+	3.05182i	−0.189145	+	0.153167i	0.530071	+	0.847953i	$0.322165\pi$
$398$	4.17745	+	8.19870i	0.209397	+	0.410964i
$399$	0.483718	−	5.58013i	0.0242162	−	0.279356i
$400$	−1.63411	+	4.72543i	−0.0817055	+	0.236271i
$401$	0.746594	+	1.29314i	0.0372831	+	0.0645763i	0.884065	−	0.467364i	$-0.154796\pi$
$401$	0.746594	+	1.29314i	0.0372831	+	0.0645763i	−0.846782	+	0.531941i	$0.821463\pi$
$402$	−0.716184	+	13.6656i	−0.0357200	+	0.681578i
$403$	−20.3365	−	7.80646i	−1.01303	−	0.388867i
$404$	−1.40679	+	13.3848i	−0.0699907	+	0.665917i
$405$	1.52674	+	4.85341i	0.0758642	+	0.241168i
$406$	−13.9488	−	7.71742i	−0.692267	−	0.383009i
$407$	−19.3848	+	19.3848i	−0.960870	+	0.960870i
$408$	2.41743	+	6.29763i	0.119681	+	0.311779i
$409$	−32.3645	−	6.87928i	−1.60032	−	0.340158i	−0.680576	−	0.732678i	$-0.738270\pi$
$409$	−32.3645	−	6.87928i	−1.60032	−	0.340158i	−0.919744	+	0.392519i	$0.871604\pi$
$410$	0.461178	−	7.45901i	0.0227759	−	0.368374i
$411$	−3.09161	−	14.5449i	−0.152498	−	0.717447i
$412$	1.82979	−	3.59117i	0.0901474	−	0.176924i
$413$	−21.0932	+	11.2370i	−1.03793	+	0.552937i
$414$	9.33653	+	3.03362i	0.458866	+	0.149094i
$415$	−0.733911	−	17.0690i	−0.0360263	−	0.837886i
$416$	1.35583	−	6.37869i	0.0664751	−	0.312741i
$417$	−0.952816	−	0.771575i	−0.0466596	−	0.0377842i
$418$	−8.65472	−	2.31903i	−0.423316	−	0.113427i
$419$	−2.34075	+	1.70065i	−0.114353	+	0.0830824i	−0.643492	−	0.765453i	$-0.722515\pi$
$419$	−2.34075	+	1.70065i	−0.114353	+	0.0830824i	0.529139	+	0.848535i	$0.322515\pi$
$420$	4.21273	−	5.90770i	0.205560	−	0.288266i
$421$	−3.77490	−	2.74262i	−0.183977	−	0.133667i	0.491985	−	0.870604i	$-0.336272\pi$
$421$	−3.77490	−	2.74262i	−0.183977	−	0.133667i	−0.675962	+	0.736937i	$0.736272\pi$
$422$	−4.13061	−	5.10087i	−0.201075	−	0.248307i
$423$	−0.0774606	−	0.00405954i	−0.00376626	−	0.000197381i
$424$	7.39481	+	4.26940i	0.359124	+	0.207340i
$425$	−7.61518	+	26.4250i	−0.369390	+	1.28180i
$426$		−	17.8119i		−	0.862991i
$427$	−0.0598722	−	0.0467005i	−0.00289742	−	0.00225999i
$428$	1.10611	+	6.98369i	0.0534657	+	0.337569i
$429$	−41.2899	−	4.33975i	−1.99350	−	0.209525i
$430$	−3.92514	+	1.70361i	−0.189287	+	0.0821552i
$431$	0.653749	+	6.22000i	0.0314900	+	0.299607i	0.998920	+	0.0464677i	$0.0147965\pi$
$431$	0.653749	+	6.22000i	0.0314900	+	0.299607i	−0.967430	+	0.253139i	$0.918537\pi$
$432$	1.42711	−	5.32605i	0.0686619	−	0.256250i
$433$	3.91261	−	24.7032i	0.188028	−	1.18716i	−0.695410	−	0.718613i	$-0.744777\pi$
$433$	3.91261	−	24.7032i	0.188028	−	1.18716i	0.883438	−	0.468548i	$-0.155223\pi$
$434$	1.99495	+	8.60975i	0.0957605	+	0.413281i
$435$	11.5741	+	11.7935i	0.554936	+	0.565457i
$436$	3.21299	−	0.682942i	0.153874	−	0.0327070i
$437$	6.17003	+	9.50102i	0.295153	+	0.454495i
$438$	−5.29759	−	8.15758i	−0.253129	−	0.389784i
$439$	−2.46519	+	0.523993i	−0.117657	+	0.0250088i	−0.266364	−	0.963873i	$-0.585822\pi$
$439$	−2.46519	+	0.523993i	−0.117657	+	0.0250088i	0.148707	+	0.988881i	$0.452489\pi$
$440$	−8.13016	−	8.28429i	−0.387590	−	0.394938i
$441$	8.24049	−	6.45935i	0.392404	−	0.307588i
$442$	5.61084	−	35.4254i	0.266880	−	1.68502i
$443$	2.44045	−	9.10787i	0.115949	−	0.432728i	−0.883407	−	0.468606i	$-0.844756\pi$
$443$	2.44045	−	9.10787i	0.115949	−	0.432728i	0.999356	+	0.0358785i	$0.0114229\pi$
$444$	−0.677054	−	6.44174i	−0.0321316	−	0.305711i
$445$	−9.72821	+	4.22228i	−0.461162	+	0.200155i
$446$	−25.3900	−	2.66859i	−1.20225	−	0.126362i
$447$	−0.0855378	−	0.540064i	−0.00404580	−	0.0255442i
$448$	−2.45231	+	0.993070i	−0.115861	+	0.0469182i
$449$			20.0383i			0.945667i	0.881152	+	0.472834i	$0.156769\pi$
$449$			20.0383i			0.945667i	−0.881152	+	0.472834i	$0.843231\pi$
$450$	5.89951	−	4.59662i	0.278106	−	0.216687i
$451$	15.0245	+	8.67442i	0.707478	+	0.408462i
$452$	15.2738	+	0.800467i	0.718420	+	0.0376508i
$453$	−0.909872	−	1.12360i	−0.0427495	−	0.0527912i
$454$	−19.7083	−	14.3189i	−0.924958	−	0.672022i
$455$	−35.1041	+	16.0035i	−1.64570	+	0.750256i
$456$	1.71269	−	1.24434i	0.0802041	−	0.0582717i
$457$	19.4307	+	5.20644i	0.908929	+	0.243547i	0.682847	−	0.730561i	$-0.260742\pi$
$457$	19.4307	+	5.20644i	0.908929	+	0.243547i	0.226082	+	0.974108i	$0.427408\pi$
$458$	2.17584	+	1.76196i	0.101670	+	0.0823310i
$459$	6.30534	−	29.6643i	0.294308	−	1.38461i
$460$	0.630424	+	14.6622i	0.0293937	+	0.683628i
$461$	16.3429	+	5.31014i	0.761165	+	0.247318i	0.663779	−	0.747929i	$-0.268952\pi$
$461$	16.3429	+	5.31014i	0.761165	+	0.247318i	0.0973867	+	0.995247i	$0.468952\pi$
$462$	7.91975	+	14.8663i	0.368460	+	0.691642i
$463$	11.3391	−	22.2542i	0.526972	−	1.03424i	−0.462103	−	0.886826i	$-0.652905\pi$
$463$	11.3391	−	22.2542i	0.526972	−	1.03424i	0.989075	−	0.147415i	$-0.0470951\pi$
$464$	−1.25272	−	5.89361i	−0.0581563	−	0.273604i
$465$	0.565325	−	9.14348i	0.0262163	−	0.424019i
$466$	−10.3878	−	2.20799i	−0.481204	−	0.102283i
$467$	−6.33084	−	16.4924i	−0.292956	−	0.763177i	−0.998513	−	0.0545230i	$-0.982636\pi$
$467$	−6.33084	−	16.4924i	−0.292956	−	0.763177i	0.705556	−	0.708654i	$-0.250697\pi$
$468$	−6.89726	+	6.89726i	−0.318826	+	0.318826i
$469$	−29.5151	+	0.538714i	−1.36288	+	0.0248755i
$470$	−0.0347956	−	0.110613i	−0.00160500	−	0.00510221i
$471$	−0.875423	+	8.32909i	−0.0403374	+	0.383784i
$472$	−8.43323	−	3.23721i	−0.388171	−	0.149005i
$473$	0.519868	−	9.91968i	0.0239036	−	0.456107i
$474$	−0.373690	−	0.647251i	−0.0171642	−	0.0297292i
$475$	8.62894	+	0.162066i	0.395923	+	0.00743610i
$476$	−13.1835	+	6.16037i	−0.604266	+	0.282360i
$477$	−5.79839	−	11.3800i	−0.265490	−	0.521054i
$478$	−16.6829	+	13.5096i	−0.763060	+	0.617914i
$479$	−2.52250	+	1.12309i	−0.115256	+	0.0513152i	−0.463555	−	0.886068i	$-0.653426\pi$
$479$	−2.52250	+	1.12309i	−0.115256	+	0.0513152i	0.348299	+	0.937384i	$0.386760\pi$
$480$	2.73002	−	0.261044i	0.124608	−	0.0119150i
$481$	−14.0079	+	31.4622i	−0.638703	+	1.43455i
$482$	3.07299	+	3.07299i	0.139971	+	0.139971i
$483$	5.13577	−	20.6686i	0.233686	−	0.940455i
$484$	15.1653	−	4.92752i	0.689334	−	0.223978i
$485$	−1.97848	−	5.30240i	−0.0898381	−	0.240769i
$486$	−10.2191	+	9.20129i	−0.463546	+	0.417379i
$487$	−6.63617	+	4.30958i	−0.300713	+	0.195286i	−0.686172	−	0.727440i	$-0.740710\pi$
$487$	−6.63617	+	4.30958i	−0.300713	+	0.195286i	0.385458	+	0.922725i	$0.374043\pi$
$488$	−0.00150201	−	0.0286601i	−6.79930e−5	−	0.00129738i
$489$	−3.48505	+	10.7259i	−0.157599	+	0.485041i
$490$	13.3535	+	8.16597i	0.603251	+	0.368901i
$491$	9.43788	+	29.0468i	0.425926	+	1.31086i	0.902105	+	0.431516i	$0.142021\pi$
$491$	9.43788	+	29.0468i	0.425926	+	1.31086i	−0.476180	+	0.879348i	$0.657979\pi$
$492$	−3.82678	+	1.46896i	−0.172525	+	0.0662261i
$493$	−8.57712	−	32.0102i	−0.386294	−	1.44167i
$494$	−11.1945	+	1.17659i	−0.503665	+	0.0529373i
$495$	3.45011	+	17.0156i	0.155071	+	0.764792i
$496$	−1.96343	+	2.70244i	−0.0881608	+	0.121343i
$497$	38.3283	−	2.71087i	1.71926	−	0.121599i
$498$	−8.34956	+	4.25431i	−0.374153	+	0.190640i
$499$	−0.806362	+	0.465553i	−0.0360977	+	0.0208410i	−0.517940	−	0.855417i	$-0.673301\pi$
$499$	−0.806362	+	0.465553i	−0.0360977	+	0.0208410i	0.481843	+	0.876258i	$0.339968\pi$
$500$	9.52117	+	5.86066i	0.425800	+	0.262097i
$501$	−7.04611	+	12.2042i	−0.314797	+	0.545245i
$502$	1.30771	+	0.849238i	0.0583661	+	0.0379034i
$503$	22.0461	−	3.49176i	0.982988	−	0.155690i	0.355803	−	0.934561i	$-0.384207\pi$
$503$	22.0461	−	3.49176i	0.982988	−	0.155690i	0.627184	+	0.778871i	$0.284207\pi$
$504$	3.88532	+	0.752018i	0.173066	+	0.0334975i
$505$	28.5326	+	9.56792i	1.26968	+	0.425767i
$506$	−31.1236	−	13.8571i	−1.38361	−	0.616025i
$507$	−34.9788	+	9.37254i	−1.55346	+	0.416249i
$508$	−5.49082	+	6.78060i	−0.243616	+	0.300840i
$509$	−7.74028	+	8.59645i	−0.343082	+	0.381031i	−0.889850	−	0.456253i	$-0.849191\pi$
$509$	−7.74028	+	8.59645i	−0.343082	+	0.381031i	0.546768	+	0.837284i	$0.315858\pi$
$510$	14.9196	−	2.21963i	0.660650	−	0.0982870i
$511$	16.7475	−	12.6411i	0.740865	−	0.559208i
$512$	−0.891007	−	0.453990i	−0.0393773	−	0.0200637i
$513$	−9.50451	+	0.498110i	−0.419634	+	0.0219921i
$514$	−12.3883	−	13.7586i	−0.546423	−	0.606865i
$515$	−6.95038	−	5.73719i	−0.306270	−	0.252811i
$516$	1.74413	+	1.57042i	0.0767810	+	0.0691339i
$517$	0.265875	+	0.0421104i	0.0116932	+	0.00185201i
$518$	13.7585	−	2.43730i	0.604513	−	0.107089i
$519$	−17.6387	−	24.2776i	−0.774252	−	1.06567i
$520$	−13.2649	−	6.05578i	−0.581704	−	0.265564i
$521$	−9.49844	−	21.3338i	−0.416134	−	0.934653i	−0.993033	−	0.117837i	$-0.962404\pi$
$521$	−9.49844	−	21.3338i	−0.416134	−	0.934653i	0.576899	−	0.816816i	$-0.304263\pi$
$522$	−3.22976	+	8.41382i	−0.141363	+	0.368263i
$523$	−15.3606	+	23.6532i	−0.671671	+	1.03428i	0.324417	+	0.945914i	$0.394832\pi$
$523$	−15.3606	+	23.6532i	−0.671671	+	1.03428i	−0.996088	+	0.0883685i	$0.971835\pi$
$524$	−8.78190			−0.383639
$525$	−10.8501	−	12.0630i	−0.473535	−	0.526474i
$526$	8.78039			0.382843
$527$	−10.0063	+	15.4084i	−0.435883	+	0.671200i
$528$	−2.28156	+	5.94367i	−0.0992921	+	0.258665i
$529$	8.16541	+	18.3398i	0.355018	+	0.797383i
$530$	12.9086	−	14.0685i	0.560713	−	0.611097i
$531$	7.94192	+	10.9311i	0.344650	+	0.474370i
$532$	2.93828	+	3.49604i	0.127390	+	0.151572i
$533$	21.5264	+	3.40945i	0.932413	+	0.147680i
$534$	4.32271	+	3.89218i	0.187062	+	0.168431i
$535$	15.7805	+	0.975682i	0.682251	+	0.0421824i
$536$	−7.46583	−	8.29164i	−0.322475	−	0.358144i
$537$	−15.0095	+	0.786616i	−0.647709	+	0.0339450i
$538$	21.6378	+	11.0250i	0.932872	+	0.475322i
$539$	−30.7844	+	19.3045i	−1.32598	+	0.831504i
$540$	−10.9326	−	5.70039i	−0.470466	−	0.245306i
$541$	−11.3046	+	12.5550i	−0.486022	+	0.539782i	−0.935415	−	0.353552i	$-0.884974\pi$
$541$	−11.3046	+	12.5550i	−0.486022	+	0.539782i	0.449393	+	0.893334i	$0.351640\pi$
$542$	−1.70776	+	2.10890i	−0.0733544	+	0.0905851i
$543$	10.4309	−	2.79496i	0.447634	−	0.119943i
$544$	−5.02456	−	2.23708i	−0.215426	−	0.0959140i
$545$	0.0689664	−	7.34465i	0.00295420	−	0.314610i
$546$	15.9814	+	13.8700i	0.683939	+	0.593583i
$547$	−9.63498	+	1.52603i	−0.411962	+	0.0652484i	−0.358976	−	0.933347i	$-0.616874\pi$
$547$	−9.63498	+	1.52603i	−0.411962	+	0.0652484i	−0.0529862	+	0.998595i	$0.516874\pi$
$548$	10.1681	+	6.60325i	0.434360	+	0.282077i
$549$	−0.0214639	+	0.0371765i	−0.000916056	+	0.00158666i
$550$	−22.0290	+	13.7247i	−0.939321	+	0.585222i
$551$	−9.00682	+	5.20009i	−0.383703	+	0.221531i
$552$	7.17221	−	3.65442i	0.305270	−	0.155543i
$553$	1.33590	−	0.902626i	0.0568083	−	0.0383836i
$554$	−13.6316	+	18.7623i	−0.579152	+	0.797134i
$555$	−14.3893	−	1.64912i	−0.610792	−	0.0700013i
$556$	0.994177	−	0.104492i	0.0421625	−	0.00443145i
$557$	−4.94267	−	18.4463i	−0.209428	−	0.781595i	−0.988054	−	0.154107i	$-0.950750\pi$
$557$	−4.94267	−	18.4463i	−0.209428	−	0.781595i	0.778626	−	0.627488i	$-0.215917\pi$
$558$	4.66460	−	1.79057i	0.197468	−	0.0758009i
$559$	−3.85618	−	11.8681i	−0.163099	−	0.501967i
$560$	0.977215	+	5.83481i	0.0412949	+	0.246566i
$561$	−10.8207	+	33.3025i	−0.456848	+	1.40603i
$562$	−1.19353	−	22.7739i	−0.0503461	−	0.960661i
$563$	−7.33848	+	4.76566i	−0.309280	+	0.200849i	−0.689940	−	0.723866i	$-0.742363\pi$
$563$	−7.33848	+	4.76566i	−0.309280	+	0.200849i	0.380661	+	0.924715i	$0.375697\pi$
$564$	−0.0472653	+	0.0425579i	−0.00199023	+	0.00179201i
$565$	9.16145	−	32.9503i	0.385425	−	1.38623i
$566$	16.7241	−	5.43400i	0.702968	−	0.228408i
$567$	4.33380	+	4.17843i	0.182002	+	0.175478i
$568$	10.2693	+	10.2693i	0.430888	+	0.430888i
$569$	−5.80804	+	13.0451i	−0.243486	+	0.546878i	−0.993406	−	0.114650i	$-0.963425\pi$
$569$	−5.80804	+	13.0451i	−0.243486	+	0.546878i	0.749920	+	0.661528i	$0.230092\pi$
$570$	−1.88470	−	4.34239i	−0.0789415	−	0.181883i
$571$	−10.4153	+	4.63720i	−0.435868	+	0.194061i	−0.612927	−	0.790139i	$-0.710008\pi$
$571$	−10.4153	+	4.63720i	−0.435868	+	0.194061i	0.177060	+	0.984200i	$0.443341\pi$
$572$	26.3072	−	21.3032i	1.09996	−	0.890730i
$573$	−8.38022	−	16.4471i	−0.350089	−	0.687088i
$574$	−3.74338	−	8.01103i	−0.156246	−	0.334374i
$575$	32.3098	+	5.74128i	1.34741	+	0.239428i
$576$	0.747884	+	1.29537i	0.0311619	+	0.0539739i
$577$	−0.867306	+	16.5492i	−0.0361064	+	0.688951i	0.919282	+	0.393599i	$0.128770\pi$
$577$	−0.867306	+	16.5492i	−0.0361064	+	0.688951i	−0.955388	+	0.295352i	$0.904563\pi$
$578$	−12.3707	−	4.74866i	−0.514552	−	0.197518i
$579$	−0.338130	+	3.21709i	−0.0140522	+	0.133698i
$580$	−13.4723	−	0.126505i	−0.559408	−	0.00525285i
$581$	−10.4253	−	17.3194i	−0.432515	−	0.718528i
$582$	−2.19500	+	2.19500i	−0.0909857	+	0.0909857i
$583$	15.8844	+	41.3803i	0.657865	+	1.71380i
$584$	7.75742	+	1.64889i	0.321004	+	0.0682315i
$585$	11.7069	+	18.4030i	0.484019	+	0.760871i
$586$	−1.83335	−	8.62522i	−0.0757348	−	0.356304i
$587$	−10.9800	+	21.5495i	−0.453194	+	0.889444i	0.545488	+	0.838119i	$0.316344\pi$
$587$	−10.9800	+	21.5495i	−0.453194	+	0.889444i	−0.998682	+	0.0513252i	$0.983656\pi$
$588$	1.03270	−	8.52296i	0.0425879	−	0.351481i
$589$	5.48363	+	1.78174i	0.225949	+	0.0734153i
$590$	−11.1597	+	16.8362i	−0.459437	+	0.693134i
$591$	4.80499	−	22.6057i	0.197651	−	0.929874i
$592$	4.10425	+	3.32356i	0.168684	+	0.136597i
$593$	0.0929734	+	0.0249121i	0.00381796	+	0.00102302i	0.260728	−	0.965412i	$-0.416038\pi$
$593$	0.0929734	+	0.0249121i	0.00381796	+	0.00102302i	−0.256910	+	0.966435i	$0.582704\pi$
$594$	23.1560	−	16.8238i	0.950104	−	0.690291i
$595$	7.04695	+	31.7666i	0.288897	+	1.30230i
$596$	0.360683	+	0.262052i	0.0147742	+	0.0107341i
$597$	−7.10221	−	8.77050i	−0.290674	−	0.358953i
$598$	−42.7411	−	2.23997i	−1.74782	−	0.0915991i
$599$	15.5923	+	9.00223i	0.637085	+	0.367821i	0.783491	−	0.621404i	$-0.213437\pi$
$599$	15.5923	+	9.00223i	0.637085	+	0.367821i	−0.146406	+	0.989225i	$0.546771\pi$
$600$	0.755418	−	6.08565i	0.0308398	−	0.248446i
$601$		−	17.2878i		−	0.705185i	−0.935777	−	0.352593i	$-0.885300\pi$
$601$		−	17.2878i		−	0.705185i	0.935777	−	0.352593i	$-0.114700\pi$
$602$	−3.11383	+	3.99208i	−0.126910	+	0.162705i
$603$	2.61074	+	16.4836i	0.106318	+	0.671263i
$604$	1.17237	+	0.123221i	0.0477031	+	0.00501380i
$605$	−3.39393	−	35.4940i	−0.137983	−	1.44303i
$606$	−1.72539	−	16.4160i	−0.0700893	−	0.666855i
$607$	8.10560	−	30.2505i	0.328996	−	1.22783i	−0.581237	−	0.813735i	$-0.697431\pi$
$607$	8.10560	−	30.2505i	0.328996	−	1.22783i	0.910233	−	0.414096i	$-0.135902\pi$
$608$	−0.270020	+	1.70484i	−0.0109508	+	0.0691404i
$609$	18.7019	+	5.70144i	0.757838	+	0.231034i
$610$	−0.0632868	−	0.0106337i	−0.00256241	−	0.000430547i
$611$	0.330783	−	0.0703101i	0.0133820	−	0.00284444i
$612$	4.48066	+	6.89960i	0.181120	+	0.278900i
$613$	−19.8453	−	30.5592i	−0.801546	−	1.23427i	−0.968674	−	0.248337i	$-0.920116\pi$
$613$	−19.8453	−	30.5592i	−0.801546	−	1.23427i	0.167128	−	0.985935i	$-0.446551\pi$
$614$	−12.4281	+	2.64168i	−0.501558	+	0.106609i
$615$	1.34877	+	9.06595i	0.0543877	+	0.365575i
$616$	−13.1370	−	4.00494i	−0.529305	−	0.161364i
$617$	−3.17746	+	20.0617i	−0.127920	+	0.807652i	0.837402	+	0.546588i	$0.184074\pi$
$617$	−3.17746	+	20.0617i	−0.127920	+	0.807652i	−0.965321	+	0.261065i	$0.915926\pi$
$618$	−1.27941	+	4.77481i	−0.0514653	+	0.192071i
$619$	−0.172698	−	1.64311i	−0.00694130	−	0.0660421i	0.990503	−	0.137492i	$-0.0439041\pi$
$619$	−0.172698	−	1.64311i	−0.00694130	−	0.0660421i	−0.997444	+	0.0714498i	$0.977237\pi$
$620$	4.94563	+	5.59749i	0.198621	+	0.224801i
$621$	−35.9907	−	3.78278i	−1.44426	−	0.151798i
$622$	4.24221	+	26.7843i	0.170097	+	1.07395i
$623$	−7.71743	+	9.89410i	−0.309192	+	0.396399i
$624$			7.99805i			0.320178i
$625$	17.4141	−	17.9374i	0.696564	−	0.717495i
$626$	1.04634	+	0.604102i	0.0418200	+	0.0241448i
$627$	10.9742	+	0.575131i	0.438265	+	0.0229685i
$628$	−4.29732	−	5.30675i	−0.171482	−	0.211762i
$629$	23.4994	+	17.0733i	0.936984	+	0.680758i
$630$	3.52748	−	8.11562i	0.140538	−	0.323334i
$631$	9.87117	−	7.17183i	0.392965	−	0.285506i	−0.373704	−	0.927548i	$-0.621913\pi$
$631$	9.87117	−	7.17183i	0.392965	−	0.285506i	0.766670	+	0.642042i	$0.221913\pi$
$632$	0.588611	+	0.157718i	0.0234137	+	0.00627368i
$633$	6.25607	+	5.06607i	0.248657	+	0.201358i
$634$	4.29714	−	20.2165i	0.170661	−	0.802899i
$635$	12.1349	+	15.2765i	0.481560	+	0.606229i
$636$	−9.96002	−	3.23621i	−0.394940	−	0.128324i
$637$	−27.4137	+	36.5001i	−1.08617	+	1.44619i
$638$	14.1994	−	27.8678i	0.562158	−	1.10330i
$639$	−4.51645	−	21.2482i	−0.178668	−	0.840567i
$640$	−1.42346	+	1.72446i	−0.0562671	+	0.0681653i
$641$	9.89976	+	2.10426i	0.391017	+	0.0831133i	0.399225	−	0.916853i	$-0.369279\pi$
$641$	9.89976	+	2.10426i	0.391017	+	0.0831133i	−0.00820769	+	0.999966i	$0.502613\pi$
$642$	−3.10779	−	8.09606i	−0.122655	−	0.319526i
$643$	−24.3319	+	24.3319i	−0.959558	+	0.959558i	−0.999213	−	0.0396551i	$-0.987374\pi$
$643$	−24.3319	+	24.3319i	−0.959558	+	0.959558i	0.0396551	+	0.999213i	$0.487374\pi$
$644$	8.95527	+	14.8772i	0.352887	+	0.586244i
$645$	4.27446	−	3.04467i	0.168307	−	0.119884i
$646$	−0.992354	+	9.44162i	−0.0390437	+	0.371476i
$647$	−4.60576	−	1.76799i	−0.181071	−	0.0695067i	0.266143	−	0.963933i	$-0.414251\pi$
$647$	−4.60576	−	1.76799i	−0.181071	−	0.0695067i	−0.447214	+	0.894427i	$0.647584\pi$
$648$	−0.119084	+	2.27225i	−0.00467805	+	0.0892624i
$649$	−23.4454	−	40.6086i	−0.920313	−	1.59403i
$650$	−19.6573	+	26.0142i	−0.771022	+	1.02036i
$651$	−4.58874	−	9.82015i	−0.179847	−	0.384882i
$652$	−4.17461	−	8.19314i	−0.163490	−	0.320868i
$653$	38.9697	−	31.5570i	1.52500	−	1.23492i	0.640905	−	0.767621i	$-0.278559\pi$
$653$	38.9697	−	31.5570i	1.52500	−	1.23492i	0.884098	−	0.467302i	$-0.154774\pi$
$654$	−3.68038	+	1.63861i	−0.143914	+	0.0640748i
$655$	−4.26292	+	19.1686i	−0.166566	+	0.748981i
$656$	1.35937	−	3.05320i	0.0530746	−	0.119207i
$657$	−8.38807	−	8.38807i	−0.327250	−	0.327250i
$658$	−0.0987709	−	0.0952299i	−0.00385049	−	0.00371245i
$659$	−7.09217	+	2.30438i	−0.276272	+	0.0897661i	−0.443876	−	0.896088i	$-0.646397\pi$
$659$	−7.09217	+	2.30438i	−0.276272	+	0.0897661i	0.167604	+	0.985854i	$0.446397\pi$
$660$	11.8660	+	7.86524i	0.461883	+	0.306154i
$661$	−2.46948	+	2.22353i	−0.0960516	+	0.0864852i	−0.715758	−	0.698349i	$-0.753918\pi$
$661$	−2.46948	+	2.22353i	−0.0960516	+	0.0864852i	0.619706	+	0.784834i	$0.287252\pi$
$662$	26.5742	−	17.2575i	1.03284	−	0.670731i
$663$	2.30225	+	43.9296i	0.0894120	+	1.70608i
$664$	2.36106	−	7.26660i	0.0916270	−	0.281999i
$665$	9.05725	−	4.71645i	0.351225	−	0.182896i
$666$	−2.44106	−	7.51281i	−0.0945891	−	0.291115i
$667$	−36.9184	+	14.1717i	−1.42949	+	0.548729i
$668$	−2.97385	−	11.0985i	−0.115062	−	0.429416i
$669$	31.1401	−	3.27295i	1.20394	−	0.126540i
$670$	−21.7226	+	12.2710i	−0.839217	+	0.474072i
$671$	0.0875665	−	0.120525i	0.00338047	−	0.00465281i
$672$	2.68873	−	1.81669i	0.103720	−	0.0700803i
$673$	−39.9668	+	20.3641i	−1.54061	+	0.784978i	−0.998469	−	0.0553125i	$-0.982384\pi$
$673$	−39.9668	+	20.3641i	−1.54061	+	0.784978i	−0.542137	+	0.840290i	$0.682384\pi$
$674$	21.5319	−	12.4315i	0.829379	−	0.478842i
$675$	−17.7494	+	21.0961i	−0.683176	+	0.811988i
$676$	14.7630	−	25.5702i	0.567807	−	0.983470i
$677$	32.3496	+	21.0081i	1.24330	+	0.807405i	0.987237	−	0.159256i	$-0.0509095\pi$
$677$	32.3496	+	21.0081i	1.24330	+	0.807405i	0.256058	+	0.966661i	$0.417576\pi$
$678$	−18.5277	+	2.93449i	−0.711550	+	0.112698i
$679$	−5.05733	−	4.38920i	−0.194083	−	0.168442i
$680$	−7.32200	+	9.88141i	−0.280786	+	0.378935i
$681$	27.2948	+	12.1524i	1.04594	+	0.465682i
$682$	−16.7489	+	4.48786i	−0.641350	+	0.171849i
$683$	−0.280189	+	0.346005i	−0.0107211	+	0.0132395i	−0.782478	−	0.622678i	$-0.786045\pi$
$683$	−0.280189	+	0.346005i	−0.0107211	+	0.0132395i	0.771757	+	0.635917i	$0.219378\pi$
$684$	1.72758	−	1.91868i	0.0660558	−	0.0733624i
$685$	19.3490	−	18.9890i	0.739288	−	0.725533i
$686$	18.4971	+	0.925059i	0.706224	+	0.0353189i
$687$	−3.05958	−	1.55894i	−0.116730	−	0.0594771i
$688$	−1.91096	+	0.100149i	−0.0728548	+	0.00381816i
$689$	37.2593	+	41.3806i	1.41947	+	1.57648i
$690$	−4.49512	−	17.4290i	−0.171126	−	0.663512i
$691$	4.41893	+	3.97882i	0.168104	+	0.151362i	0.748889	−	0.662695i	$-0.230588\pi$
$691$	4.41893	+	3.97882i	0.168104	+	0.151362i	−0.580785	+	0.814057i	$0.697254\pi$
$692$	24.1663	+	3.82756i	0.918664	+	0.145502i
$693$	13.2172	+	15.7261i	0.502079	+	0.597387i
$694$	9.45356	+	13.0117i	0.358852	+	0.493918i
$695$	0.254515	−	2.22075i	0.00965430	−	0.0842380i
$696$	3.00571	+	6.75094i	0.113931	+	0.255894i
$697$	6.58753	−	17.1611i	0.249520	−	0.650023i
$698$	10.5358	−	16.2238i	0.398787	−	0.614078i
$699$	13.0249			0.492648
$700$	13.2103	+	0.699333i	0.499301	+	0.0264323i
$701$	10.8580			0.410102			0.205051	−	0.978751i	$-0.434264\pi$
$701$	10.8580			0.410102			0.205051	+	0.978751i	$0.434264\pi$
$702$	19.5838	−	30.1564i	0.739143	−	1.13818i
$703$	3.26681	−	8.51034i	0.123210	−	0.320974i
$704$	−2.11134	−	4.74215i	−0.0795742	−	0.178727i
$705$	0.0699493	+	0.123827i	0.00263444	+	0.00466358i
$706$	−19.8893	−	27.3753i	−0.748544	−	1.03028i
$707$	35.0619	−	6.21117i	1.31864	−	0.233595i
$708$	10.9426	+	1.73313i	0.411247	+	0.0651352i
$709$	4.23393	+	3.81224i	0.159008	+	0.143172i	0.744795	−	0.667294i	$-0.232547\pi$
$709$	4.23393	+	3.81224i	0.159008	+	0.143172i	−0.585786	+	0.810466i	$0.699214\pi$
$710$	27.4001	−	17.4302i	1.02831	−	0.654145i
$711$	−0.609902	−	0.677365i	−0.0228731	−	0.0254032i
$712$	−4.73619	+	0.248213i	−0.177496	+	0.00930219i
$713$	19.5341	+	9.95312i	0.731558	+	0.372747i
$714$	14.2450	−	10.7522i	0.533105	−	0.402390i
$715$	−33.7293	−	67.7629i	−1.26140	−	2.53419i
$716$	8.20005	−	9.10707i	0.306450	−	0.340347i
$717$	16.5691	−	20.4611i	0.618784	−	0.764135i
$718$	18.3570	−	4.91874i	0.685076	−	0.183566i
$719$	5.53707	+	2.46526i	0.206498	+	0.0919388i	0.507379	−	0.861723i	$-0.330614\pi$
$719$	5.53707	+	2.46526i	0.206498	+	0.0919388i	−0.300882	+	0.953661i	$0.597281\pi$
$720$	3.19051	−	1.00364i	0.118903	−	0.0374034i
$721$	−10.4693	−	2.02637i	−0.389897	−	0.0754659i
$722$	−15.8234	+	2.50618i	−0.588885	+	0.0932702i
$723$	−4.47018	−	2.90297i	−0.166248	−	0.107963i
$724$	−4.40243	+	7.62523i	−0.163615	+	0.283389i
$725$	−6.81588	+	29.3452i	−0.253136	+	1.08985i
$726$	−16.9369	+	9.77852i	−0.628587	+	0.362915i
$727$	−8.70810	+	4.43700i	−0.322966	+	0.164559i	−0.607955	−	0.793971i	$-0.708010\pi$
$727$	−8.70810	+	4.43700i	−0.322966	+	0.164559i	0.284989	+	0.958531i	$0.408010\pi$
$728$	−17.2105	+	1.21725i	−0.637862	+	0.0451145i
$729$	13.9255	−	19.1668i	0.515759	−	0.709881i
$730$	7.36472	−	16.1320i	0.272580	−	0.597074i
$731$	−10.4672	+	1.10015i	−0.387143	+	0.0406904i
$732$	0.00911019	+	0.0339997i	0.000336722	+	0.00125666i
$733$	−19.5882	+	7.51922i	−0.723509	+	0.277729i	−0.692124	−	0.721778i	$-0.743325\pi$
$733$	−19.5882	+	7.51922i	−0.723509	+	0.277729i	−0.0313844	+	0.999507i	$0.509992\pi$
$734$	−2.45076	−	7.54266i	−0.0904591	−	0.278405i
$735$	−18.1021	−	6.39135i	−0.667707	−	0.235748i
$736$	−2.02814	+	6.24196i	−0.0747581	+	0.230082i
$737$	−3.03119	−	57.8385i	−0.111655	−	2.13051i
$738$	−4.19258	+	2.72269i	−0.154331	+	0.100224i
$739$	−1.15153	+	1.03684i	−0.0423597	+	0.0381409i	−0.690039	−	0.723773i	$-0.742406\pi$
$739$	−1.15153	+	1.03684i	−0.0423597	+	0.0381409i	0.647679	+	0.761913i	$0.275740\pi$
$740$	9.24676	−	7.34520i	0.339918	−	0.270015i
$741$	13.1297	−	4.26609i	0.482331	−	0.156719i
$742$	5.44791	−	21.9248i	0.199999	−	0.804885i
$743$	16.6888	+	16.6888i	0.612254	+	0.612254i	0.943533	−	0.331279i	$-0.107480\pi$
$743$	16.6888	+	16.6888i	0.612254	+	0.612254i	−0.331279	+	0.943533i	$0.607480\pi$
$744$	1.66636	−	3.74270i	0.0610917	−	0.137214i
$745$	0.747075	−	0.660073i	0.0273707	−	0.0241832i
$746$	24.1151	−	10.7367i	0.882915	−	0.393099i
$747$	−8.88162	+	7.19220i	−0.324962	+	0.263149i
$748$	−12.9617	−	25.4387i	−0.473925	−	0.930130i
$749$	16.9484	−	7.91961i	0.619280	−	0.289376i
$750$	−12.9167	−	4.60299i	−0.471652	−	0.168077i
$751$	8.21620	+	14.2309i	0.299813	+	0.519292i	0.976093	−	0.217353i	$-0.0697423\pi$
$751$	8.21620	+	14.2309i	0.299813	+	0.519292i	−0.676280	+	0.736645i	$0.736409\pi$
$752$	0.00271401	−	0.0517865i	9.89699e−5	−	0.00188846i
$753$	−1.78538	−	0.685342i	−0.0650627	−	0.0249752i
$754$	4.10713	−	39.0767i	0.149573	−	1.42309i
$755$	0.838054	−	2.49917i	0.0304999	−	0.0909542i
$756$	−14.5861	+	0.266227i	−0.530490	+	0.00968259i
$757$	−18.8812	+	18.8812i	−0.686248	+	0.686248i	−0.961401	−	0.275152i	$-0.911272\pi$
$757$	−18.8812	+	18.8812i	−0.686248	+	0.686248i	0.275152	+	0.961401i	$0.411272\pi$
$758$	4.54467	+	11.8393i	0.165070	+	0.430022i
$759$	40.8716	+	8.68753i	1.48355	+	0.315337i
$760$	3.59015	+	1.41695i	0.130229	+	0.0513982i
$761$	6.47724	+	30.4730i	0.234800	+	1.10465i	0.924687	+	0.380729i	$0.124327\pi$
$761$	6.47724	+	30.4730i	0.234800	+	1.10465i	−0.689887	+	0.723917i	$0.742340\pi$
$762$	4.85813	−	9.53462i	0.175992	−	0.345403i
$763$	−4.08614	−	7.67017i	−0.147928	−	0.277679i
$764$	14.3139	+	4.65087i	0.517859	+	0.168262i
$765$	17.2351	−	6.43090i	0.623135	−	0.232510i
$766$	0.770994	−	3.62724i	0.0278571	−	0.131057i
$767$	−45.7796	−	37.0716i	−1.65301	−	1.33858i
$768$	1.18468	+	0.317434i	0.0427485	+	0.0114544i
$769$	−6.60172	+	4.79643i	−0.238064	+	0.172964i	−0.700420	−	0.713730i	$-0.747004\pi$
$769$	−6.60172	+	4.79643i	−0.238064	+	0.172964i	0.462356	+	0.886694i	$0.347004\pi$
$770$	−15.1187	+	26.7306i	−0.544842	+	0.963305i
$771$	18.3702	+	13.3468i	0.661588	+	0.480672i
$772$	−1.65983	−	2.04972i	−0.0597385	−	0.0737709i
$773$	−22.8287	−	1.19640i	−0.821090	−	0.0430315i	−0.362836	−	0.931853i	$-0.618192\pi$
$773$	−22.8287	−	1.19640i	−0.821090	−	0.0430315i	−0.458254	+	0.888821i	$0.651525\pi$
$774$	2.47881	+	1.43114i	0.0890989	+	0.0514413i
$775$	14.6186	−	8.07790i	0.525116	−	0.290167i
$776$		−	2.53100i		−	0.0908576i
$777$	−15.8841	+	6.43234i	−0.569840	+	0.230759i
$778$	0.792262	+	5.00215i	0.0284040	+	0.179336i
$779$	−5.73724	−	0.603008i	−0.205558	−	0.0216050i
$780$	17.4577	+	3.88242i	0.625086	+	0.139013i
$781$	7.88014	+	74.9745i	0.281974	+	2.68280i
$782$	−9.34285	+	34.8680i	−0.334100	+	1.24688i
$783$	5.19721	−	32.8139i	0.185733	−	1.17267i
$784$	4.31842	+	5.50920i	0.154229	+	0.196757i
$785$	−13.6693	+	6.80394i	−0.487878	+	0.242843i
$786$	10.5354	−	2.23936i	0.375785	−	0.0798755i
$787$	−19.2210	−	29.5977i	−0.685153	−	1.05504i	−0.994565	−	0.104115i	$-0.966799\pi$
$787$	−19.2210	−	29.5977i	−0.685153	−	1.05504i	0.309412	−	0.950928i	$-0.399868\pi$
$788$	10.2628	+	15.8033i	0.365596	+	0.562969i
$789$	−10.5336	+	2.23898i	−0.375005	+	0.0797098i
$790$	0.629982	−	1.20823i	0.0224137	−	0.0429868i
$791$	−9.13433	−	39.4218i	−0.324779	−	1.40168i
$792$	−1.21463	+	7.66884i	−0.0431598	+	0.272500i
$793$	0.0484392	−	0.180778i	0.00172013	−	0.00641960i
$794$	0.506900	+	4.82283i	0.0179892	+	0.171156i
$795$	−11.8986	+	20.1692i	−0.422000	+	0.715329i
$796$	9.15121	+	0.961831i	0.324356	+	0.0340912i
$797$	1.65605	+	10.4559i	0.0586603	+	0.370367i	0.999503	+	0.0315231i	$0.0100358\pi$
$797$	1.65605	+	10.4559i	0.0586603	+	0.370367i	−0.940843	+	0.338844i	$0.889964\pi$
$798$	−4.41644	−	3.44484i	−0.156340	−	0.121946i
$799$		−	0.285220i		−	0.0100904i
$800$	3.07308	+	3.94413i	0.108650	+	0.139446i
$801$	6.14356	+	3.54699i	0.217072	+	0.125327i
$802$	1.49114	+	0.0781475i	0.0526541	+	0.00275948i
$803$	25.9078	+	31.9934i	0.914265	+	1.12902i
$804$	11.0709	+	8.04346i	0.390440	+	0.283671i
$805$	36.8202	−	12.3253i	1.29774	−	0.434411i
$806$	−17.6231	+	12.8039i	−0.620747	+	0.450999i
$807$	−28.7696	−	7.70879i	−1.01274	−	0.271362i
$808$	10.4592	+	8.46970i	0.367954	+	0.297963i
$809$	−7.32164	+	34.4456i	−0.257415	+	1.21104i	0.639483	+	0.768805i	$0.279148\pi$
$809$	−7.32164	+	34.4456i	−0.257415	+	1.21104i	−0.896898	+	0.442237i	$0.854185\pi$
$810$	4.90193	+	1.36293i	0.172236	+	0.0478884i
$811$	44.4955	+	14.4575i	1.56245	+	0.507671i	0.957461	−	0.288563i	$-0.0931776\pi$
$811$	44.4955	+	14.4575i	1.56245	+	0.507671i	0.604989	+	0.796234i	$0.293178\pi$
$812$	−14.0694	+	7.49524i	−0.493740	+	0.263031i
$813$	1.51098	−	2.96546i	0.0529923	−	0.104003i
$814$	5.69975	+	26.8152i	0.199776	+	0.939873i
$815$	−19.9100	+	5.13498i	−0.697415	+	0.179871i
$816$	6.59827	+	1.40251i	0.230986	+	0.0490975i
$817$	1.18370	+	3.08364i	0.0414123	+	0.107883i
$818$	−23.3964	+	23.3964i	−0.818036	+	0.818036i
$819$	22.5814	+	12.4936i	0.789059	+	0.436561i
$820$	−6.00448	−	4.44925i	−0.209686	−	0.155374i
$821$	0.497119	−	4.72978i	0.0173496	−	0.165070i	−0.982416	−	0.186703i	$-0.940220\pi$
$821$	0.497119	−	4.72978i	0.0173496	−	0.165070i	0.999766	+	0.0216327i	$0.00688645\pi$
$822$	−13.8822	−	5.32888i	−0.484197	−	0.185866i
$823$	1.80525	−	34.4463i	0.0629271	−	1.20072i	−0.766552	−	0.642183i	$-0.778029\pi$
$823$	1.80525	−	34.4463i	0.0629271	−	1.20072i	0.829479	−	0.558538i	$-0.188638\pi$
$824$	−2.01523	−	3.49048i	−0.0702039	−	0.121597i
$825$	22.9278	−	22.0824i	0.798243	−	0.768811i
$826$	−2.06402	+	23.8103i	−0.0718164	+	0.828468i
$827$	−12.4517	−	24.4378i	−0.432987	−	0.849786i	−0.999666	−	0.0258466i	$-0.991772\pi$
$827$	−12.4517	−	24.4378i	−0.432987	−	0.849786i	0.566679	−	0.823939i	$-0.308228\pi$
$828$	7.62925	−	6.17805i	0.265135	−	0.214702i
$829$	4.68887	−	2.08762i	0.162851	−	0.0725061i	−0.323692	−	0.946162i	$-0.604924\pi$
$829$	4.68887	−	2.08762i	0.162851	−	0.0725061i	0.486543	+	0.873656i	$0.338258\pi$
$830$	−14.7150	−	8.68096i	−0.510766	−	0.301320i
$831$	11.5691	−	25.9846i	0.401327	−	0.901396i
$832$	−4.61118	−	4.61118i	−0.159864	−	0.159864i
$833$	25.3049	+	29.0164i	0.876762	+	1.00536i
$834$	−1.16604	+	0.378869i	−0.0403766	+	0.0131192i
$835$	−25.6688	+	1.10367i	−0.888307	+	0.0381942i
$836$	−6.65860	+	5.99543i	−0.230292	+	0.207356i
$837$	−15.4472	+	10.0315i	−0.533934	+	0.346741i
$838$	0.151425	+	2.88936i	0.00523089	+	0.0998113i
$839$	−9.55777	+	29.4158i	−0.329971	+	1.01555i	0.639176	+	0.769061i	$0.279276\pi$
$839$	−9.55777	+	29.4158i	−0.329971	+	1.01555i	−0.969147	+	0.246485i	$0.920724\pi$
$840$	−2.66020	−	6.75066i	−0.0917856	−	0.232920i
$841$	−2.25704	−	6.94645i	−0.0778289	−	0.239533i
$842$	−4.35612	+	1.67216i	−0.150122	+	0.0576263i
$843$	7.23914	+	27.0169i	0.249329	+	0.930510i
$844$	−6.52764	+	0.686083i	−0.224691	+	0.0236159i
$845$	−48.6469	−	44.6361i	−1.67351	−	1.53553i
$846$	−0.0455927	+	0.0627529i	−0.00156751	+	0.00215749i
$847$	−23.6194	−	34.9571i	−0.811573	−	1.20114i
$848$	7.60812	−	3.87653i	0.261264	−	0.133121i
$849$	−18.6778	+	10.7836i	−0.641020	+	0.370093i
$850$	18.0143	+	20.7787i	0.617886	+	0.712703i
$851$	17.3307	−	30.0177i	0.594089	−	1.02899i
$852$	−14.9383	−	9.70108i	−0.511779	−	0.332353i
$853$	26.8359	−	4.25039i	0.918844	−	0.145531i	0.320941	−	0.947099i	$-0.396001\pi$
$853$	26.8359	−	4.25039i	0.918844	−	0.145531i	0.597903	+	0.801568i	$0.296001\pi$
$854$	−0.0717750	+	0.0247781i	−0.00245609	+	0.000847890i
$855$	−3.34937	−	4.70224i	−0.114546	−	0.160813i
$856$	6.45944	+	2.87593i	0.220779	+	0.0982972i
$857$	5.26056	−	1.40956i	0.179697	−	0.0481498i	−0.167848	−	0.985813i	$-0.553682\pi$
$857$	5.26056	−	1.40956i	0.179697	−	0.0481498i	0.347546	+	0.937663i	$0.387015\pi$
$858$	−26.1277	+	32.2650i	−0.891986	+	1.10151i
$859$	11.0832	−	12.3092i	0.378155	−	0.419984i	−0.523781	−	0.851853i	$-0.675479\pi$
$859$	11.0832	−	12.3092i	0.378155	−	0.419984i	0.901936	+	0.431869i	$0.142146\pi$
$860$	−0.709021	+	4.21975i	−0.0241774	+	0.143892i
$861$	6.53361	+	8.65603i	0.222665	+	0.294997i
$862$	5.57259	+	2.83938i	0.189803	+	0.0967096i
$863$	−34.6499	+	1.81592i	−1.17950	+	0.0618147i	−0.631983	−	0.774983i	$-0.717759\pi$
$863$	−34.6499	+	1.81592i	−1.17950	+	0.0618147i	−0.547513	+	0.836797i	$0.684425\pi$
$864$	−3.68954	−	4.09765i	−0.125521	−	0.139405i
$865$	20.0854	−	50.8908i	0.682925	−	1.73034i
$866$	−18.5869	−	16.7357i	−0.631609	−	0.568703i
$867$	16.0516	+	2.54233i	0.545141	+	0.0863419i
$868$	8.30727	+	3.01611i	0.281967	+	0.102373i
$869$	1.85930	+	2.55910i	0.0630723	+	0.0868116i
$870$	16.1946	−	3.28365i	0.549048	−	0.111326i
$871$	−29.5942	−	66.4698i	−1.00276	−	2.25224i
$872$	1.17716	−	3.06660i	0.0398636	−	0.103848i
$873$	−2.06189	+	3.17503i	−0.0697844	+	0.107459i
$874$	11.3287			0.383198
$875$	7.93900	−	28.4951i	0.268387	−	0.963311i
$876$	−9.72680			−0.328638
$877$	−25.4902	+	39.2515i	−0.860744	+	1.32543i	0.0836105	+	0.996499i	$0.473355\pi$
$877$	−25.4902	+	39.2515i	−0.860744	+	1.32543i	−0.944354	+	0.328930i	$0.893312\pi$
$878$	−0.903183	+	2.35287i	−0.0304809	+	0.0794056i
$879$	4.39882	+	9.87991i	0.148369	+	0.333241i
$880$	−11.3758	+	2.30658i	−0.383478	+	0.0777547i
$881$	−17.1521	−	23.6079i	−0.577870	−	0.795370i	0.415590	−	0.909552i	$-0.363575\pi$
$881$	−17.1521	−	23.6079i	−0.577870	−	0.795370i	−0.993460	+	0.114183i	$0.963575\pi$
$882$	−0.929176	−	10.4291i	−0.0312870	−	0.351165i
$883$	−14.8492	−	2.35188i	−0.499715	−	0.0791471i	−0.0985114	−	0.995136i	$-0.531408\pi$
$883$	−14.8492	−	2.35188i	−0.499715	−	0.0791471i	−0.401204	+	0.915989i	$0.631408\pi$
$884$	−26.6544	−	23.9997i	−0.896484	−	0.807198i
$885$	9.09474	−	23.0435i	0.305716	−	0.774600i
$886$	−6.30934	−	7.00723i	−0.211966	−	0.235412i
$887$	15.8548	−	0.830913i	0.532351	−	0.0278993i	0.215733	−	0.976452i	$-0.430786\pi$
$887$	15.8548	−	0.830913i	0.532351	−	0.0278993i	0.316618	+	0.948553i	$0.397453\pi$
$888$	−5.77125	−	2.94060i	−0.193670	−	0.0986800i
$889$	21.2563	+	9.00277i	0.712912	+	0.301943i
$890$	−1.75726	+	10.4584i	−0.0589036	+	0.350566i
$891$	−7.90329	+	8.77750i	−0.264770	+	0.294057i
$892$	−16.0664	+	19.8404i	−0.537944	+	0.664306i
$893$	−0.0864608	+	0.0231671i	−0.00289330	+	0.000775258i
$894$	−0.499523	−	0.222402i	−0.0167066	−	0.00743824i
$895$	−15.8979	−	22.3194i	−0.531409	−	0.746054i
$896$	−0.502763	+	2.59754i	−0.0167961	+	0.0867778i
$897$	51.8464	−	8.21167i	1.73110	−	0.274180i
$898$	16.8056	+	10.9137i	0.560809	+	0.364194i
$899$	−10.0634	+	17.4303i	−0.335633	+	0.581334i
$900$	−0.641943	−	7.45124i	−0.0213981	−	0.248375i
$901$	40.6720	−	23.4820i	1.35498	−	0.782298i
$902$	15.4579	−	7.87621i	0.514693	−	0.262249i
$903$	2.71760	−	5.58320i	0.0904361	−	0.185797i
$904$	8.99004	−	12.3737i	0.299004	−	0.411544i
$905$	14.5069	+	13.3108i	0.482225	+	0.442466i
$906$	−1.43788	+	0.151127i	−0.0477704	+	0.00502087i
$907$	11.1855	+	41.7449i	0.371409	+	1.38612i	0.858522	+	0.512777i	$0.171383\pi$
$907$	11.1855	+	41.7449i	0.371409	+	1.38612i	−0.487113	+	0.873339i	$0.661950\pi$
$908$	−22.7428	+	8.73015i	−0.754747	+	0.289720i
$909$	−6.22075	−	19.1455i	−0.206329	−	0.635017i
$910$	−5.69737	+	38.1569i	−0.188866	+	1.26489i
$911$	11.8702	−	36.5327i	0.393277	−	1.21038i	−0.537019	−	0.843570i	$-0.680450\pi$
$911$	11.8702	−	36.5327i	0.393277	−	1.21038i	0.930296	−	0.366811i	$-0.119550\pi$
$912$	−0.110795	−	2.11410i	−0.00366880	−	0.0700048i
$913$	33.2630	−	21.6013i	1.10085	−	0.714898i
$914$	14.9492	−	13.4603i	0.494475	−	0.445228i
$915$	0.0786348	−	0.00338103i	0.00259959	−	0.000111773i
$916$	2.66275	−	0.865180i	0.0879797	−	0.0285863i
$917$	6.42216	+	22.3295i	0.212078	+	0.737387i
$918$	−21.4444	−	21.4444i	−0.707772	−	0.707772i
$919$	−20.9192	+	46.9853i	−0.690060	+	1.54990i	0.138723	+	0.990331i	$0.455700\pi$
$919$	−20.9192	+	46.9853i	−0.690060	+	1.54990i	−0.828783	+	0.559569i	$0.810967\pi$
$920$	12.6401	+	7.45688i	0.416732	+	0.245846i
$921$	14.2360	−	6.33828i	0.469092	−	0.208853i
$922$	13.3544	−	10.8142i	0.439805	−	0.356147i
$923$	42.9960	+	84.3843i	1.41523	+	2.77754i
$924$	16.7813	+	1.45470i	0.552065	+	0.0478562i
$925$	−11.5441	−	23.7488i	−0.379568	−	0.780856i
$926$	−12.4882	−	21.6303i	−0.410389	−	0.710815i
$927$	−0.315515	+	6.02038i	−0.0103629	+	0.197735i
$928$	−5.62508	−	2.15927i	−0.184652	−	0.0708813i
$929$	3.16046	−	30.0698i	0.103691	−	0.986557i	−0.811723	−	0.584043i	$-0.801470\pi$
$929$	3.16046	−	30.0698i	0.103691	−	0.986557i	0.915414	−	0.402514i	$-0.131863\pi$
$930$	−7.36047	−	5.45402i	−0.241359	−	0.178844i
$931$	6.74055	−	10.0277i	0.220913	−	0.328645i
$932$	−7.50936	+	7.50936i	−0.245977	+	0.245977i
$933$	−11.9192	−	31.0505i	−0.390216	−	1.01655i
$934$	−17.2797	−	3.67291i	−0.565409	−	0.120181i
$935$	−61.8180	+	15.9435i	−2.02166	+	0.521408i
$936$	2.02801	+	9.54104i	0.0662876	+	0.311859i
$937$	−12.2796	+	24.1001i	−0.401158	+	0.787317i	−0.999907	−	0.0136198i	$-0.995665\pi$
$937$	−12.2796	+	24.1001i	−0.401158	+	0.787317i	0.598749	+	0.800936i	$0.295665\pi$
$938$	−15.6232	+	25.0468i	−0.510117	+	0.817807i
$939$	−1.40930	−	0.457910i	−0.0459908	−	0.0149433i
$940$	−0.111719	−	0.0310622i	−0.00364388	−	0.00101314i
$941$	−10.5619	+	49.6897i	−0.344307	+	1.61984i	0.376303	+	0.926497i	$0.377195\pi$
$941$	−10.5619	+	49.6897i	−0.344307	+	1.61984i	−0.720610	+	0.693341i	$0.756138\pi$
$942$	6.50858	+	5.27054i	0.212061	+	0.171724i
$943$	−21.1877	−	5.67722i	−0.689966	−	0.184876i
$944$	−7.30802	+	5.30959i	−0.237856	+	0.172812i
$945$	−6.49928	+	31.9668i	−0.211421	+	1.03988i
$946$	−8.03620	−	5.83864i	−0.261279	−	0.189831i
$947$	−25.0311	−	30.9108i	−0.813401	−	1.00447i	−0.999758	−	0.0219849i	$-0.993001\pi$
$947$	−25.0311	−	30.9108i	−0.813401	−	1.00447i	0.186357	−	0.982482i	$-0.440332\pi$
$948$	−0.746356	−	0.0391149i	−0.0242405	−	0.00127039i
$949$	44.7889	+	25.8589i	1.45391	+	0.839415i
$950$	4.83558	−	7.14857i	0.156887	−	0.231930i
$951$			25.3489i			0.821993i
$952$	−2.01374	+	14.4118i	−0.0652656	+	0.467090i
$953$	−1.10839	−	6.99810i	−0.0359043	−	0.226691i	0.963211	−	0.268746i	$-0.0866093\pi$
$953$	−1.10839	−	6.99810i	−0.0359043	−	0.226691i	−0.999115	+	0.0420556i	$0.986609\pi$
$954$	−12.7021	−	1.33504i	−0.411245	−	0.0432236i
$955$	17.0999	−	28.9859i	0.553340	−	0.937963i
$956$	2.24391	+	21.3493i	0.0725731	+	0.690487i
$957$	−9.92832	+	37.0530i	−0.320937	+	1.19775i
$958$	−0.431950	+	2.72722i	−0.0139557	+	0.0881126i
$959$	9.35406	−	30.6832i	0.302058	−	0.990811i
$960$	1.26795	−	2.43176i	0.0409228	−	0.0784848i
$961$	−19.4082	+	4.12533i	−0.626070	+	0.133075i
$962$	18.7572	+	28.8835i	0.604755	+	0.931241i
$963$	−5.76021	−	8.86994i	−0.185620	−	0.285830i
$964$	4.25090	−	0.903557i	0.136912	−	0.0291016i
$965$	−5.27972	+	2.62800i	−0.169960	+	0.0845984i
$966$	−14.5370	−	15.5642i	−0.467721	−	0.500769i
$967$	−6.02923	+	38.0670i	−0.193887	+	1.22415i	0.678228	+	0.734852i	$0.262748\pi$
$967$	−6.02923	+	38.0670i	−0.193887	+	1.22415i	−0.872115	+	0.489302i	$0.837252\pi$
$968$	4.12707	−	15.4024i	0.132649	−	0.495053i
$969$	−1.21709	−	11.5799i	−0.0390987	−	0.371999i
$970$	−5.52452	−	1.22860i	−0.177382	−	0.0394480i
$971$	15.1122	+	1.58835i	0.484973	+	0.0509727i	0.343860	−	0.939021i	$-0.388265\pi$
$971$	15.1122	+	1.58835i	0.484973	+	0.0509727i	0.141113	+	0.989994i	$0.454932\pi$
$972$	2.15115	+	13.5818i	0.0689981	+	0.435637i
$973$	−0.992725	−	2.45146i	−0.0318253	−	0.0785901i
$974$			7.91272i			0.253540i
$975$	16.9487	−	36.2210i	0.542792	−	1.16000i
$976$	−0.0248545	−	0.0143497i	−0.000795572	−	0.000459324i
$977$	−4.18890	−	0.219531i	−0.134015	−	0.00702341i	−0.0147893	−	0.999891i	$-0.504708\pi$
$977$	−4.18890	−	0.219531i	−0.134015	−	0.00702341i	−0.119225	+	0.992867i	$0.538041\pi$
$978$	7.09738	+	8.76454i	0.226949	+	0.280259i
$979$	−19.9172	−	14.4707i	−0.636556	−	0.462485i
$980$	14.1214	−	6.75171i	0.451092	−	0.215675i
$981$	−3.97491	+	2.88794i	−0.126909	+	0.0922049i
$982$	29.5009	+	7.90475i	0.941413	+	0.252251i
$983$	−8.67608	−	7.02575i	−0.276724	−	0.224087i	0.480904	−	0.876773i	$-0.340309\pi$
$983$	−8.67608	−	7.02575i	−0.276724	−	0.224087i	−0.757628	+	0.652687i	$0.773642\pi$
$984$	−0.852239	+	4.00947i	−0.0271684	+	0.127817i
$985$	39.4763	−	14.7297i	1.25782	−	0.469329i
$986$	−31.5175	−	10.2406i	−1.00372	−	0.326129i
$987$	0.142776	+	0.0890581i	0.00454461	+	0.00283475i
$988$	−5.11020	+	10.0293i	−0.162577	+	0.319075i
$989$	2.61121	+	12.2848i	0.0830316	+	0.390633i
$990$	16.1495	+	6.37383i	0.513265	+	0.202574i
$991$	−14.2915	−	3.03776i	−0.453986	−	0.0964977i	−0.0247571	−	0.999693i	$-0.507881\pi$
$991$	−14.2915	−	3.03776i	−0.453986	−	0.0964977i	−0.429229	+	0.903196i	$0.641215\pi$
$992$	1.19709	+	3.11853i	0.0380077	+	0.0990133i
$993$	−27.4796	+	27.4796i	−0.872040	+	0.872040i
$994$	18.6016	−	33.6212i	0.590005	−	1.06640i
$995$	6.54162	−	19.5079i	0.207383	−	0.618441i
$996$	−0.979528	+	9.31959i	−0.0310375	+	0.295303i
$997$	−44.6247	−	17.1298i	−1.41328	−	0.542507i	−0.472440	−	0.881363i	$-0.656627\pi$
$997$	−44.6247	−	17.1298i	−1.41328	−	0.542507i	−0.940838	+	0.338856i	$0.889960\pi$
$998$	−0.0487304	+	0.929831i	−0.00154253	+	0.0294333i
$999$	14.5600	+	25.2187i	0.460659	+	0.797885i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.3.13	✓	320
7.5	odd	6	inner	350.2.x.a.103.8	yes	320
25.17	odd	20	inner	350.2.x.a.17.8	yes	320
175.117	even	60	inner	350.2.x.a.117.13	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.3.13	✓	320	1.1	even	1	trivial
350.2.x.a.17.8	yes	320	25.17	odd	20	inner
350.2.x.a.103.8	yes	320	7.5	odd	6	inner
350.2.x.a.117.13	yes	320	175.117	even	60	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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(0.544639 - 0.838671i) q^{2} +(-0.439528 + 1.14501i) q^{3} +(-0.406737 - 0.913545i) q^{4} +(-2.19147 + 0.444347i) q^{5} +(0.720902 + 0.992236i) q^{6} +(-2.02541 + 1.70227i) q^{7} +(-0.987688 - 0.156434i) q^{8} +(1.11157 + 1.00086i) q^{9} +(-0.820901 + 2.07993i) q^{10} +(-3.47341 - 3.85762i) q^{11} +(1.22479 - 0.0641885i) q^{12} +(-5.81042 - 2.96056i) q^{13} +(0.324528 + 2.62577i) q^{14} +(0.454432 - 2.70456i) q^{15} +(-0.669131 + 0.743145i) q^{16} +(-3.46131 + 4.27436i) q^{17} +(1.44480 - 0.387133i) q^{18} +(1.57686 + 0.702065i) q^{19} +(1.29728 + 1.82128i) q^{20} +(-1.05889 - 3.06731i) q^{21} +(-5.12702 + 0.812041i) q^{22} +(5.50435 + 3.57457i) q^{23} +(0.613236 - 1.06216i) q^{24} +(4.60511 - 1.94755i) q^{25} +(-5.64752 + 3.26060i) q^{26} +(-4.91295 + 2.50327i) q^{27} +(2.37891 + 1.15793i) q^{28} +(-3.54157 + 4.87455i) q^{29} +(-2.02073 - 1.85413i) q^{30} +(3.32210 - 0.349166i) q^{31} +(0.258819 + 0.965926i) q^{32} +(5.94367 - 2.28156i) q^{33} +(1.69962 + 5.23088i) q^{34} +(3.68223 - 4.63046i) q^{35} +(0.462218 - 1.42256i) q^{36} +(-0.276396 - 5.27395i) q^{37} +(1.44762 - 0.940097i) q^{38} +(5.94371 - 5.35174i) q^{39} +(2.23400 - 0.0960546i) q^{40} +(-3.17857 + 1.03278i) q^{41} +(-3.14917 - 0.782512i) q^{42} +(1.35311 + 1.35311i) q^{43} +(-2.11134 + 4.74215i) q^{44} +(-2.88071 - 1.69944i) q^{45} +(5.99577 - 2.66949i) q^{46} +(-0.0403009 + 0.0326350i) q^{47} +(-0.556806 - 1.09279i) q^{48} +(1.20455 - 6.89558i) q^{49} +(0.874770 - 4.92288i) q^{50} +(-3.37284 - 5.84193i) q^{51} +(-0.341293 + 6.51225i) q^{52} +(-7.97165 - 3.06003i) q^{53} +(-0.576363 + 5.48372i) q^{54} +(9.32601 + 6.91046i) q^{55} +(2.26676 - 1.36447i) q^{56} +(-1.49695 + 1.49695i) q^{57} +(2.15927 + 5.62508i) q^{58} +(8.83582 + 1.87811i) q^{59} +(-2.65557 + 0.684900i) q^{60} +(0.00596695 + 0.0280723i) q^{61} +(1.51651 - 2.97631i) q^{62} +(-3.95513 - 0.134961i) q^{63} +(0.951057 + 0.309017i) q^{64} +(14.0489 + 3.90614i) q^{65} +(1.32368 - 6.22740i) q^{66} +(8.67101 + 7.02164i) q^{67} +(5.31266 + 1.42352i) q^{68} +(-6.51223 + 4.73141i) q^{69} +(-1.87795 - 5.61011i) q^{70} +(-11.7493 - 8.53636i) q^{71} +(-0.941318 - 1.16243i) q^{72} +(-7.91985 - 0.415062i) q^{73} +(-4.57364 - 2.64059i) q^{74} +(0.205888 + 6.12890i) q^{75} -1.72609i q^{76} +(13.6018 + 1.90055i) q^{77} +(-1.25117 - 7.89958i) q^{78} +(-0.606037 - 0.0636970i) q^{79} +(1.13617 - 1.92591i) q^{80} +(-0.237841 - 2.26290i) q^{81} +(-0.865010 + 3.22826i) q^{82} +(-1.19525 + 7.54649i) q^{83} +(-2.37143 + 2.21493i) q^{84} +(5.68606 - 10.9052i) q^{85} +(1.87177 - 0.397857i) q^{86} +(-4.02479 - 6.19763i) q^{87} +(2.82718 + 4.35348i) q^{88} +(4.63906 - 0.986062i) q^{89} +(-2.99422 + 1.49039i) q^{90} +(16.8081 - 3.89458i) q^{91} +(1.02671 - 6.48238i) q^{92} +(-1.06036 + 3.95730i) q^{93} +(0.00542059 + 0.0515735i) q^{94} +(-3.76761 - 0.837881i) q^{95} +(-1.21975 - 0.128201i) q^{96} +(0.395936 + 2.49984i) q^{97} +(-5.12708 - 4.76582i) q^{98} -7.76444i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) \) 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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