LMFDB - Embedded newform 280.2.bf.a.109.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(109,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

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

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

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

chi := DirichletCharacter("280.109");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bf (of order $6$, degree $2$, 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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			109.11
Character	$\chi$	$=$	280.109
Dual form			280.2.bf.a.149.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.02388 - 0.975536i) q^{2} +(0.299892 - 0.519428i) q^{3} +(0.0966599 + 1.99766i) q^{4} +(2.04027 + 0.915040i) q^{5} +(-0.813774 + 0.239277i) q^{6} +(-2.46748 - 0.954749i) q^{7} +(1.84982 - 2.13966i) q^{8} +(1.32013 + 2.28653i) q^{9} +O(q^{10})$	\(q+(-1.02388 - 0.975536i) q^{2} +(0.299892 - 0.519428i) q^{3} +(0.0966599 + 1.99766i) q^{4} +(2.04027 + 0.915040i) q^{5} +(-0.813774 + 0.239277i) q^{6} +(-2.46748 - 0.954749i) q^{7} +(1.84982 - 2.13966i) q^{8} +(1.32013 + 2.28653i) q^{9} +(-1.19634 - 2.92725i) q^{10} +(1.86847 + 1.07876i) q^{11} +(1.06663 + 0.548875i) q^{12} +4.00958 q^{13} +(1.59501 + 3.38466i) q^{14} +(1.08716 - 0.785361i) q^{15} +(-3.98131 + 0.386188i) q^{16} +(0.676210 + 0.390410i) q^{17} +(0.878939 - 3.62897i) q^{18} +(1.72433 - 0.995540i) q^{19} +(-1.63073 + 4.16422i) q^{20} +(-1.23590 + 0.995357i) q^{21} +(-0.860720 - 2.92729i) q^{22} +(-1.77812 + 1.02660i) q^{23} +(-0.556653 - 1.60252i) q^{24} +(3.32540 + 3.73386i) q^{25} +(-4.10533 - 3.91149i) q^{26} +3.38294 q^{27} +(1.66876 - 5.02148i) q^{28} -7.60450i q^{29} +(-1.87927 - 0.256446i) q^{30} +(2.72272 - 4.71589i) q^{31} +(4.45313 + 3.48850i) q^{32} +(1.12068 - 0.647025i) q^{33} +(-0.311499 - 1.05940i) q^{34} +(-4.16069 - 4.20579i) q^{35} +(-4.44012 + 2.85819i) q^{36} +(-1.85881 - 3.21956i) q^{37} +(-2.73669 - 0.662828i) q^{38} +(1.20244 - 2.08269i) q^{39} +(5.73202 - 2.67283i) q^{40} -6.11966 q^{41} +(2.23642 + 0.186540i) q^{42} +4.18585 q^{43} +(-1.97440 + 3.83685i) q^{44} +(0.601154 + 5.87311i) q^{45} +(2.82206 + 0.683505i) q^{46} +(-10.2296 + 5.90608i) q^{47} +(-0.993367 + 2.18382i) q^{48} +(5.17691 + 4.71165i) q^{49} +(0.237695 - 7.06707i) q^{50} +(0.405580 - 0.234162i) q^{51} +(0.387566 + 8.00979i) q^{52} +(-3.35286 + 5.80733i) q^{53} +(-3.46372 - 3.30018i) q^{54} +(2.82508 + 3.91070i) q^{55} +(-6.60724 + 3.51346i) q^{56} -1.19422i q^{57} +(-7.41846 + 7.78610i) q^{58} +(3.47242 + 2.00480i) q^{59} +(1.67397 + 2.09586i) q^{60} +(-6.44496 + 3.72100i) q^{61} +(-7.38826 + 2.17239i) q^{62} +(-1.07433 - 6.90236i) q^{63} +(-1.15631 - 7.91599i) q^{64} +(8.18063 + 3.66893i) q^{65} +(-1.77864 - 0.430788i) q^{66} +(0.0517183 - 0.0895787i) q^{67} +(-0.714545 + 1.38858i) q^{68} +1.23147i q^{69} +(0.157153 + 8.36512i) q^{70} -12.1407 q^{71} +(7.33441 + 1.40505i) q^{72} +(9.67727 + 5.58717i) q^{73} +(-1.23759 + 5.10977i) q^{74} +(2.93673 - 0.607555i) q^{75} +(2.15543 + 3.34839i) q^{76} +(-3.58047 - 4.44575i) q^{77} +(-3.26289 + 0.959399i) q^{78} +(-0.445962 - 0.772428i) q^{79} +(-8.47633 - 2.85513i) q^{80} +(-2.94587 + 5.10240i) q^{81} +(6.26580 + 5.96995i) q^{82} -3.99487 q^{83} +(-2.10785 - 2.37270i) q^{84} +(1.02241 + 1.41530i) q^{85} +(-4.28580 - 4.08344i) q^{86} +(-3.94999 - 2.28053i) q^{87} +(5.76454 - 2.00238i) q^{88} +(-4.89384 - 8.47637i) q^{89} +(5.11392 - 6.59981i) q^{90} +(-9.89356 - 3.82814i) q^{91} +(-2.22267 - 3.45285i) q^{92} +(-1.63304 - 2.82851i) q^{93} +(16.2355 + 3.93225i) q^{94} +(4.42905 - 0.453344i) q^{95} +(3.14748 - 1.26690i) q^{96} +2.01151i q^{97} +(-0.704155 - 9.87442i) q^{98} +5.69643i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 2 q^{4} - 40 q^{9}+O(q^{10}) $ 88 * q - 2 * q^4 - 40 * q^9	$ 88 q - 2 q^{4} - 40 q^{9} + 6 q^{10} - 6 q^{14} + 4 q^{15} + 2 q^{16} - 24 q^{20} - 8 q^{24} - 2 q^{25} - 14 q^{26} + 14 q^{30} - 28 q^{31} + 24 q^{34} + 60 q^{36} - 16 q^{39} - 32 q^{40} - 16 q^{41} - 2 q^{44} - 42 q^{46} - 8 q^{49} - 12 q^{50} + 8 q^{54} - 28 q^{55} + 36 q^{56} + 10 q^{60} + 52 q^{64} - 12 q^{65} - 44 q^{66} - 48 q^{70} + 16 q^{71} - 42 q^{74} - 36 q^{76} - 4 q^{79} - 40 q^{80} - 20 q^{81} + 12 q^{84} - 24 q^{86} + 4 q^{89} - 96 q^{90} - 22 q^{94} - 34 q^{95} + 80 q^{96}+O(q^{100}) $ 88 * q - 2 * q^4 - 40 * q^9 + 6 * q^10 - 6 * q^14 + 4 * q^15 + 2 * q^16 - 24 * q^20 - 8 * q^24 - 2 * q^25 - 14 * q^26 + 14 * q^30 - 28 * q^31 + 24 * q^34 + 60 * q^36 - 16 * q^39 - 32 * q^40 - 16 * q^41 - 2 * q^44 - 42 * q^46 - 8 * q^49 - 12 * q^50 + 8 * q^54 - 28 * q^55 + 36 * q^56 + 10 * q^60 + 52 * q^64 - 12 * q^65 - 44 * q^66 - 48 * q^70 + 16 * q^71 - 42 * q^74 - 36 * q^76 - 4 * q^79 - 40 * q^80 - 20 * q^81 + 12 * q^84 - 24 * q^86 + 4 * q^89 - 96 * q^90 - 22 * q^94 - 34 * q^95 + 80 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$-1$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−1.02388	−	0.975536i	−0.723992	−	0.689808i
$2$	−1.02388	−	0.975536i	−0.723992	−	0.689808i
$3$	0.299892	−	0.519428i	0.173143	−	0.299892i	−0.766374	−	0.642394i	$-0.777941\pi$
$3$	0.299892	−	0.519428i	0.173143	−	0.299892i	0.939517	+	0.342502i	$0.111274\pi$
$4$	0.0966599	+	1.99766i	0.0483299	+	0.998831i
$5$	2.04027	+	0.915040i	0.912437	+	0.409218i
$5$	2.04027	+	0.915040i	0.912437	+	0.409218i
$6$	−0.813774	+	0.239277i	−0.332222	+	0.0976843i
$7$	−2.46748	−	0.954749i	−0.932620	−	0.360861i
$7$	−2.46748	−	0.954749i	−0.932620	−	0.360861i
$8$	1.84982	−	2.13966i	0.654011	−	0.756485i
$9$	1.32013	+	2.28653i	0.440043	+	0.762177i
$10$	−1.19634	−	2.92725i	−0.378315	−	0.925677i
$11$	1.86847	+	1.07876i	0.563366	+	0.325260i	0.754495	−	0.656305i	$-0.227882\pi$
$11$	1.86847	+	1.07876i	0.563366	+	0.325260i	−0.191129	+	0.981565i	$0.561215\pi$
$12$	1.06663	+	0.548875i	0.307909	+	0.158447i
$13$	4.00958			1.11206			0.556029	−	0.831163i	$-0.312324\pi$
$13$	4.00958			1.11206			0.556029	+	0.831163i	$0.312324\pi$
$14$	1.59501	+	3.38466i	0.426285	+	0.904589i
$15$	1.08716	−	0.785361i	0.280703	−	0.202779i
$16$	−3.98131	+	0.386188i	−0.995328	+	0.0965469i
$17$	0.676210	+	0.390410i	0.164005	+	0.0946883i	0.579756	−	0.814790i	$-0.303148\pi$
$17$	0.676210	+	0.390410i	0.164005	+	0.0946883i	−0.415751	+	0.909478i	$0.636481\pi$
$18$	0.878939	−	3.62897i	0.207168	−	0.855356i
$19$	1.72433	−	0.995540i	0.395587	−	0.228392i	−0.288991	−	0.957332i	$-0.593320\pi$
$19$	1.72433	−	0.995540i	0.395587	−	0.228392i	0.684578	+	0.728939i	$0.259986\pi$
$20$	−1.63073	+	4.16422i	−0.364642	+	0.931148i
$21$	−1.23590	+	0.995357i	−0.269696	+	0.217205i
$22$	−0.860720	−	2.92729i	−0.183506	−	0.624100i
$23$	−1.77812	+	1.02660i	−0.370763	+	0.214060i	−0.673792	−	0.738921i	$-0.735336\pi$
$23$	−1.77812	+	1.02660i	−0.370763	+	0.214060i	0.303029	+	0.952981i	$0.402002\pi$
$24$	−0.556653	−	1.60252i	−0.113626	−	0.327113i
$25$	3.32540	+	3.73386i	0.665081	+	0.746771i
$26$	−4.10533	−	3.91149i	−0.805122	−	0.767106i
$27$	3.38294			0.651046
$28$	1.66876	−	5.02148i	0.315366	−	0.948970i
$29$		−	7.60450i		−	1.41212i	−0.708152	−	0.706060i	$-0.750471\pi$
$29$		−	7.60450i		−	1.41212i	0.708152	−	0.706060i	$-0.249529\pi$
$30$	−1.87927	−	0.256446i	−0.343106	−	0.0468205i
$31$	2.72272	−	4.71589i	0.489015	−	0.846999i	−0.510905	−	0.859637i	$-0.670690\pi$
$31$	2.72272	−	4.71589i	0.489015	−	0.846999i	0.999920	+	0.0126385i	$0.00402306\pi$
$32$	4.45313	+	3.48850i	0.787209	+	0.616686i
$33$	1.12068	−	0.647025i	0.195085	−	0.112633i
$34$	−0.311499	−	1.05940i	−0.0534216	−	0.181686i
$35$	−4.16069	−	4.20579i	−0.703285	−	0.710908i
$36$	−4.44012	+	2.85819i	−0.740019	+	0.476365i
$37$	−1.85881	−	3.21956i	−0.305587	−	0.529292i	0.671805	−	0.740728i	$-0.265519\pi$
$37$	−1.85881	−	3.21956i	−0.305587	−	0.529292i	−0.977392	+	0.211436i	$0.932186\pi$
$38$	−2.73669	−	0.662828i	−0.443949	−	0.107525i
$39$	1.20244	−	2.08269i	0.192545	−	0.333497i
$40$	5.73202	−	2.67283i	0.906311	−	0.422611i
$41$	−6.11966			−0.955731			−0.477865	−	0.878433i	$-0.658589\pi$
$41$	−6.11966			−0.955731			−0.477865	+	0.878433i	$0.658589\pi$
$42$	2.23642	+	0.186540i	0.345087	+	0.0287837i
$43$	4.18585			0.638336			0.319168	−	0.947698i	$-0.396597\pi$
$43$	4.18585			0.638336			0.319168	+	0.947698i	$0.396597\pi$
$44$	−1.97440	+	3.83685i	−0.297652	+	0.578428i
$45$	0.601154	+	5.87311i	0.0896148	+	0.875512i
$46$	2.82206	+	0.683505i	0.416090	+	0.100777i
$47$	−10.2296	+	5.90608i	−1.49214	+	0.861490i	−0.999959	−	0.00900022i	$-0.997135\pi$
$47$	−10.2296	+	5.90608i	−1.49214	+	0.861490i	−0.492185	+	0.870490i	$0.663802\pi$
$48$	−0.993367	+	2.18382i	−0.143380	+	0.315207i
$49$	5.17691	+	4.71165i	0.739559	+	0.673092i
$50$	0.237695	−	7.06707i	0.0336152	−	0.999435i
$51$	0.405580	−	0.234162i	0.0567925	−	0.0327892i
$52$	0.387566	+	8.00979i	0.0537457	+	1.11076i
$53$	−3.35286	+	5.80733i	−0.460551	+	0.797698i	−0.998988	−	0.0449676i	$-0.985682\pi$
$53$	−3.35286	+	5.80733i	−0.460551	+	0.797698i	0.538437	+	0.842666i	$0.319015\pi$
$54$	−3.46372	−	3.30018i	−0.471353	−	0.449097i
$55$	2.82508	+	3.91070i	0.380934	+	0.527318i
$56$	−6.60724	+	3.51346i	−0.882930	+	0.469505i
$57$		−	1.19422i		−	0.158178i
$58$	−7.41846	+	7.78610i	−0.974092	+	1.02236i
$59$	3.47242	+	2.00480i	0.452071	+	0.261003i	0.708704	−	0.705506i	$-0.249280\pi$
$59$	3.47242	+	2.00480i	0.452071	+	0.261003i	−0.256634	+	0.966509i	$0.582613\pi$
$60$	1.67397	+	2.09586i	0.216109	+	0.270575i
$61$	−6.44496	+	3.72100i	−0.825193	+	0.476425i	−0.852204	−	0.523210i	$-0.824734\pi$
$61$	−6.44496	+	3.72100i	−0.825193	+	0.476425i	0.0270109	+	0.999635i	$0.491401\pi$
$62$	−7.38826	+	2.17239i	−0.938309	+	0.275894i
$63$	−1.07433	−	6.90236i	−0.135353	−	0.869616i
$64$	−1.15631	−	7.91599i	−0.144538	−	0.989499i
$65$	8.18063	+	3.66893i	1.01468	+	0.455074i
$66$	−1.77864	−	0.430788i	−0.218935	−	0.0530263i
$67$	0.0517183	−	0.0895787i	0.00631839	−	0.0109438i	−0.862849	−	0.505462i	$-0.831322\pi$
$67$	0.0517183	−	0.0895787i	0.00631839	−	0.0109438i	0.869167	+	0.494518i	$0.164655\pi$
$68$	−0.714545	+	1.38858i	−0.0866513	+	0.168390i
$69$			1.23147i			0.148252i
$70$	0.157153	+	8.36512i	0.0187834	+	0.999824i
$71$	−12.1407			−1.44084			−0.720419	−	0.693540i	$-0.756050\pi$
$71$	−12.1407			−1.44084			−0.720419	+	0.693540i	$0.756050\pi$
$72$	7.33441	+	1.40505i	0.864369	+	0.165587i
$73$	9.67727	+	5.58717i	1.13264	+	0.653929i	0.944597	−	0.328232i	$-0.106453\pi$
$73$	9.67727	+	5.58717i	1.13264	+	0.653929i	0.188041	+	0.982161i	$0.439786\pi$
$74$	−1.23759	+	5.10977i	−0.143867	+	0.593999i
$75$	2.93673	−	0.607555i	0.339105	−	0.0701544i
$76$	2.15543	+	3.34839i	0.247244	+	0.384087i
$77$	−3.58047	−	4.44575i	−0.408033	−	0.506640i
$78$	−3.26289	+	0.959399i	−0.369450	+	0.108631i
$79$	−0.445962	−	0.772428i	−0.0501746	−	0.0869049i	0.839847	−	0.542823i	$-0.182644\pi$
$79$	−0.445962	−	0.772428i	−0.0501746	−	0.0869049i	−0.890022	+	0.455918i	$0.849311\pi$
$80$	−8.47633	−	2.85513i	−0.947683	−	0.319214i
$81$	−2.94587	+	5.10240i	−0.327319	+	0.566934i
$82$	6.26580	+	5.96995i	0.691942	+	0.659271i
$83$	−3.99487			−0.438494			−0.219247	−	0.975669i	$-0.570360\pi$
$83$	−3.99487			−0.438494			−0.219247	+	0.975669i	$0.570360\pi$
$84$	−2.10785	−	2.37270i	−0.229985	−	0.258883i
$85$	1.02241	+	1.41530i	0.110896	+	0.153511i
$86$	−4.28580	−	4.08344i	−0.462150	−	0.440329i
$87$	−3.94999	−	2.28053i	−0.423484	−	0.244498i
$88$	5.76454	−	2.00238i	0.614502	−	0.213454i
$89$	−4.89384	−	8.47637i	−0.518746	−	0.898494i	−0.999763	−	0.0217826i	$-0.993066\pi$
$89$	−4.89384	−	8.47637i	−0.518746	−	0.898494i	0.481017	−	0.876711i	$-0.340267\pi$
$90$	5.11392	−	6.59981i	0.539055	−	0.695681i
$91$	−9.89356	−	3.82814i	−1.03713	−	0.401298i
$92$	−2.22267	−	3.45285i	−0.231729	−	0.359984i
$93$	−1.63304	−	2.82851i	−0.169339	−	0.293303i
$94$	16.2355	+	3.93225i	1.67456	+	0.405581i
$95$	4.42905	−	0.453344i	0.454411	−	0.0465121i
$96$	3.14748	−	1.26690i	0.321239	−	0.129303i
$97$			2.01151i			0.204237i	0.994772	+	0.102119i	$0.0325622\pi$
$97$			2.01151i			0.204237i	−0.994772	+	0.102119i	$0.967438\pi$
$98$	−0.704155	−	9.87442i	−0.0711304	−	0.997467i
$99$			5.69643i			0.572513i
$100$	−7.13755	+	7.00395i	−0.713755	+	0.700395i
$101$	10.1809	+	5.87796i	1.01304	+	0.584879i	0.912080	−	0.410012i	$-0.134475\pi$
$101$	10.1809	+	5.87796i	1.01304	+	0.584879i	0.100959	+	0.994891i	$0.467809\pi$
$102$	−0.643698	−	0.155904i	−0.0637356	−	0.0154368i
$103$	4.73283	−	2.73250i	0.466340	−	0.269241i	−0.248366	−	0.968666i	$-0.579894\pi$
$103$	4.73283	−	2.73250i	0.466340	−	0.269241i	0.714706	+	0.699425i	$0.246560\pi$
$104$	7.41702	−	8.57915i	0.727299	−	0.841255i
$105$	−3.43236	+	0.899899i	−0.334964	+	0.0878211i
$106$	9.09819	−	2.67517i	0.883694	−	0.259835i
$107$	−9.19065	−	15.9187i	−0.888494	−	1.53892i	−0.841656	−	0.540014i	$-0.818419\pi$
$107$	−9.19065	−	15.9187i	−0.888494	−	1.53892i	−0.0468372	−	0.998903i	$-0.514914\pi$
$108$	0.326994	+	6.75797i	0.0314650	+	0.650286i
$109$	−16.2063	−	9.35673i	−1.55228	−	0.896212i	−0.997955	−	0.0639148i	$-0.979641\pi$
$109$	−16.2063	−	9.35673i	−1.55228	−	0.896212i	−0.554329	−	0.832297i	$-0.687025\pi$
$110$	0.922483	−	6.76005i	0.0879553	−	0.644546i
$111$	−2.22977			−0.211640
$112$	10.1925	+	2.84824i	0.963103	+	0.269134i
$113$			2.15759i			0.202969i	0.994837	+	0.101485i	$0.0323593\pi$
$113$			2.15759i			0.202969i	−0.994837	+	0.101485i	$0.967641\pi$
$114$	−1.16500	+	1.22273i	−0.109112	+	0.114520i
$115$	−4.56722	+	0.467486i	−0.425895	+	0.0435933i
$116$	15.1912	−	0.735050i	1.41047	−	0.0682477i
$117$	5.29317	+	9.16804i	0.489354	+	0.847585i
$118$	−1.59958	−	5.44015i	−0.147254	−	0.500806i
$119$	−1.29579	−	1.60894i	−0.118785	−	0.147491i
$120$	0.330644	−	3.77893i	0.0301835	−	0.344967i
$121$	−3.17254	−	5.49499i	−0.288412	−	0.499545i
$122$	10.2288	+	2.47743i	0.926076	+	0.224296i
$123$	−1.83524	+	3.17872i	−0.165478	+	0.286616i
$124$	9.68393	+	4.98324i	0.869643	+	0.447508i
$125$	3.36810	+	10.6610i	0.301252	+	0.953545i
$126$	−5.63352	+	8.11524i	−0.501874	+	0.722963i
$127$		−	13.3464i		−	1.18430i	−0.805827	−	0.592151i	$-0.798279\pi$
$127$		−	13.3464i		−	1.18430i	0.805827	−	0.592151i	$-0.201721\pi$
$128$	−6.53842	+	9.23304i	−0.577920	+	0.816094i
$129$	1.25530	−	2.17425i	0.110523	−	0.191432i
$130$	−4.79681	−	11.7370i	−0.420708	−	1.02941i
$131$	−6.90278	+	3.98532i	−0.603099	+	0.348199i	−0.770260	−	0.637730i	$-0.779873\pi$
$131$	−6.90278	+	3.98532i	−0.603099	+	0.348199i	0.167161	+	0.985930i	$0.446540\pi$
$132$	1.40086	+	2.17620i	0.121929	+	0.189414i
$133$	−5.20523	+	0.810176i	−0.451350	+	0.0702512i
$134$	−0.140340	+	0.0412648i	−0.0121236	+	0.00356473i
$135$	6.90210	+	3.09552i	0.594039	+	0.266420i
$136$	2.08621	−	0.724671i	0.178891	−	0.0621400i
$137$	−19.5516	−	11.2881i	−1.67041	−	0.964411i	−0.967408	−	0.253222i	$-0.918510\pi$
$137$	−19.5516	−	11.2881i	−1.67041	−	0.964411i	−0.703001	−	0.711189i	$-0.748157\pi$
$138$	1.20134	−	1.26088i	0.102265	−	0.107333i
$139$			22.6473i			1.92092i	0.278421	+	0.960459i	$0.410189\pi$
$139$			22.6473i			1.92092i	−0.278421	+	0.960459i	$0.589811\pi$
$140$	7.99957	−	8.71819i	0.676087	−	0.736822i
$141$			7.08474i			0.596643i
$142$	12.4306	+	11.8437i	1.04316	+	0.993901i
$143$	7.49180	+	4.32539i	0.626496	+	0.361708i
$144$	−6.13888	−	8.59358i	−0.511573	−	0.716132i
$145$	6.95842	−	15.5152i	0.577865	−	1.28847i
$146$	−4.45787	−	15.1611i	−0.368936	−	1.25474i
$147$	3.99987	−	1.27605i	0.329904	−	0.105247i
$148$	6.25191	−	4.02448i	0.513904	−	0.330810i
$149$	7.24474	−	4.18275i	0.593512	−	0.342664i	−0.172973	−	0.984927i	$-0.555337\pi$
$149$	7.24474	−	4.18275i	0.593512	−	0.342664i	0.766485	+	0.642262i	$0.222004\pi$
$150$	−3.59955	−	2.24282i	−0.293902	−	0.183126i
$151$	9.74954	−	16.8867i	0.793406	−	1.37422i	−0.130440	−	0.991456i	$-0.541639\pi$
$151$	9.74954	−	16.8867i	0.793406	−	1.37422i	0.923846	−	0.382764i	$-0.125028\pi$
$152$	1.05958	−	5.53105i	0.0859432	−	0.448627i
$153$			2.06157i			0.166668i
$154$	−0.671015	+	8.04479i	−0.0540720	+	0.648268i
$155$	9.87031	−	7.13029i	0.792802	−	0.572719i
$156$	4.27674	+	2.20076i	0.342413	+	0.176202i
$157$	9.68045	−	16.7670i	0.772584	−	1.33815i	−0.163558	−	0.986534i	$-0.552297\pi$
$157$	9.68045	−	16.7670i	0.772584	−	1.33815i	0.936142	−	0.351621i	$-0.114370\pi$
$158$	−0.296920	+	1.22592i	−0.0236217	+	0.0975293i
$159$	2.01099	+	3.48314i	0.159482	+	0.276231i
$160$	5.89346	+	11.1923i	0.465919	+	0.884827i
$161$	5.36761	−	0.835450i	0.423027	−	0.0658427i
$162$	7.99380	−	2.35044i	0.628052	−	0.184668i
$163$	−3.00829	−	5.21050i	−0.235627	−	0.408118i	0.723828	−	0.689981i	$-0.242381\pi$
$163$	−3.00829	−	5.21050i	−0.235627	−	0.408118i	−0.959455	+	0.281863i	$0.909048\pi$
$164$	−0.591526	−	12.2250i	−0.0461904	−	0.954614i
$165$	2.87854	−	0.294639i	0.224094	−	0.0229376i
$166$	4.09027	+	3.89714i	0.317467	+	0.302477i
$167$			10.3137i			0.798094i	0.916930	+	0.399047i	$0.130659\pi$
$167$			10.3137i			0.798094i	−0.916930	+	0.399047i	$0.869341\pi$
$168$	−0.156471	+	4.48564i	−0.0120720	+	0.346075i
$169$	3.07675			0.236673
$170$	0.333851	−	2.44650i	0.0256052	−	0.187638i
$171$	4.55267	+	2.62848i	0.348151	+	0.201005i
$172$	0.404603	+	8.36191i	0.0308507	+	0.637590i
$173$	−3.52920	−	6.11275i	−0.268320	−	0.464744i	0.700108	−	0.714037i	$-0.253135\pi$
$173$	−3.52920	−	6.11275i	−0.268320	−	0.464744i	−0.968428	+	0.249293i	$0.919802\pi$
$174$	1.81958	+	6.18835i	0.137942	+	0.469137i
$175$	−4.64047	−	12.3881i	−0.350787	−	0.936455i
$176$	−7.85559	−	3.57332i	−0.592137	−	0.269349i
$177$	2.08270	−	1.20245i	0.156546	−	0.0903816i
$178$	−3.25831	+	13.4529i	−0.244220	+	1.00834i
$179$	10.9997	+	6.35071i	0.822160	+	0.474674i	0.851161	−	0.524905i	$-0.175899\pi$
$179$	10.9997	+	6.35071i	0.822160	+	0.474674i	−0.0290009	+	0.999579i	$0.509233\pi$
$180$	−11.6744	+	1.76860i	−0.870158	+	0.131823i
$181$		−	1.52451i		−	0.113316i	−0.998394	−	0.0566581i	$-0.981956\pi$
$181$		−	1.52451i		−	0.113316i	0.998394	−	0.0566581i	$-0.0180445\pi$
$182$	6.39533	+	13.5711i	0.474053	+	1.00596i
$183$			4.46359i			0.329958i
$184$	−1.09263	+	5.70359i	−0.0805500	+	0.420474i
$185$	−0.846456	−	8.26965i	−0.0622327	−	0.607997i
$186$	−1.08728	+	4.48915i	−0.0797230	+	0.329160i
$187$	0.842321	+	1.45894i	0.0615966	+	0.106688i
$188$	−12.7871	−	19.8645i	−0.932599	−	1.44877i
$189$	−8.34733	−	3.22985i	−0.607179	−	0.234937i
$190$	−4.97707	−	3.85652i	−0.361074	−	0.279782i
$191$	10.9788	+	19.0159i	0.794401	+	1.37594i	0.923219	+	0.384274i	$0.125548\pi$
$191$	10.9788	+	19.0159i	0.794401	+	1.37594i	−0.128818	+	0.991668i	$0.541118\pi$
$192$	−4.45856	−	1.77332i	−0.321769	−	0.127979i
$193$	−15.6937	−	9.06078i	−1.12966	−	0.652209i	−0.185810	−	0.982586i	$-0.559491\pi$
$193$	−15.6937	−	9.06078i	−1.12966	−	0.652209i	−0.943849	+	0.330377i	$0.892824\pi$
$194$	1.96230	−	2.05954i	0.140885	−	0.147866i
$195$	4.35905	−	3.14897i	0.312158	−	0.225502i
$196$	−8.91188	+	10.7971i	−0.636563	+	0.771225i
$197$	1.18015			0.0840822			0.0420411	−	0.999116i	$-0.486614\pi$
$197$	1.18015			0.0840822			0.0420411	+	0.999116i	$0.486614\pi$
$198$	5.55707	−	5.83246i	0.394924	−	0.414495i
$199$	−12.6550	+	21.9191i	−0.897089	+	1.55380i	−0.0658918	+	0.997827i	$0.520989\pi$
$199$	−12.6550	+	21.9191i	−0.897089	+	1.55380i	−0.831197	+	0.555977i	$0.812344\pi$
$200$	14.1406	−	0.208267i	0.999892	−	0.0147267i
$201$	−0.0310198	−	0.0537278i	−0.00218797	−	0.00378967i
$202$	−4.68988	−	15.9502i	−0.329979	−	1.12225i
$203$	−7.26039	+	18.7640i	−0.509579	+	1.31697i
$204$	0.506979	+	0.787578i	0.0354956	+	0.0551415i
$205$	−12.4858	−	5.59973i	−0.872044	−	0.391102i
$206$	−7.51151	−	1.81929i	−0.523351	−	0.126756i
$207$	−4.69469	−	2.71048i	−0.326304	−	0.188391i
$208$	−15.9634	+	1.54845i	−1.10686	+	0.107366i
$209$	4.29581			0.297147
$210$	4.39221	+	2.42700i	0.303091	+	0.167479i
$211$		−	10.7394i		−	0.739328i	−0.929166	−	0.369664i	$-0.879473\pi$
$211$		−	10.7394i		−	0.739328i	0.929166	−	0.369664i	$-0.120527\pi$
$212$	−11.9252	−	6.13655i	−0.819024	−	0.421460i
$213$	−3.64090	+	6.30622i	−0.249470	+	0.432095i
$214$	−6.11911	+	25.2646i	−0.418294	+	1.72705i
$215$	8.54026	+	3.83022i	0.582441	+	0.261219i
$216$	6.25784	−	7.23834i	0.425792	−	0.492507i
$217$	−11.2207	+	9.03684i	−0.761714	+	0.613461i
$218$	7.46551	+	25.3900i	0.505628	+	1.71963i
$219$	5.80427	−	3.35110i	0.392216	−	0.226446i
$220$	−7.53918	+	6.02157i	−0.508292	+	0.405974i
$221$	2.71132	+	1.56538i	0.182383	+	0.105299i
$222$	2.28302	+	2.17522i	0.153226	+	0.145991i
$223$			3.39142i			0.227106i	0.993532	+	0.113553i	$0.0362232\pi$
$223$			3.39142i			0.227106i	−0.993532	+	0.113553i	$0.963777\pi$
$224$	−7.65735	−	12.8594i	−0.511628	−	0.859207i
$225$	−4.14761	+	12.5328i	−0.276508	+	0.835521i
$226$	2.10481	−	2.20912i	0.140010	−	0.146948i
$227$	1.61557	−	2.79825i	0.107229	−	0.185726i	−0.807418	−	0.589980i	$-0.799136\pi$
$227$	1.61557	−	2.79825i	0.107229	−	0.185726i	0.914647	+	0.404254i	$0.132469\pi$
$228$	2.38564	−	0.115433i	0.157993	−	0.00764473i
$229$	15.9201	−	9.19148i	1.05203	−	0.607390i	0.128813	−	0.991669i	$-0.458883\pi$
$229$	15.9201	−	9.19148i	1.05203	−	0.607390i	0.923217	+	0.384279i	$0.125550\pi$
$230$	5.13233	+	3.97683i	0.338416	+	0.262225i
$231$	−3.38300	+	0.526553i	−0.222585	+	0.0346447i
$232$	−16.2711	−	14.0670i	−1.06825	−	0.923543i
$233$	2.13185	−	1.23082i	0.139662	−	0.0806340i	−0.428541	−	0.903522i	$-0.640972\pi$
$233$	2.13185	−	1.23082i	0.139662	−	0.0806340i	0.568203	+	0.822888i	$0.307639\pi$
$234$	3.52418	−	14.5506i	0.230383	−	0.951205i
$235$	−26.2755	+	2.68948i	−1.71402	+	0.175442i
$236$	−3.66928	+	7.13051i	−0.238850	+	0.464157i
$237$	−0.534961			−0.0347495
$238$	−0.242844	+	2.91145i	−0.0157412	+	0.188721i
$239$	−24.1102			−1.55956			−0.779778	−	0.626056i	$-0.784668\pi$
$239$	−24.1102			−1.55956			−0.779778	+	0.626056i	$0.784668\pi$
$240$	−4.02502	+	3.54661i	−0.259814	+	0.228933i
$241$	3.42849	−	5.93833i	0.220849	−	0.382521i	−0.734217	−	0.678915i	$-0.762451\pi$
$241$	3.42849	−	5.93833i	0.220849	−	0.382521i	0.955066	+	0.296393i	$0.0957840\pi$
$242$	−2.11227	+	8.72114i	−0.135782	+	0.560616i
$243$	6.84129	+	11.8495i	0.438869	+	0.760144i
$244$	−8.05628	−	12.5152i	−0.515750	−	0.801203i
$245$	6.25095	+	14.3501i	0.399359	+	0.916795i
$246$	4.98002	−	1.46429i	0.317515	−	0.0933598i
$247$	6.91382	−	3.99170i	0.439916	−	0.253986i
$248$	−5.05386	−	14.5493i	−0.320920	−	0.923879i
$249$	−1.19803	+	2.07505i	−0.0759221	+	0.131501i
$250$	6.95161	−	14.2012i	0.439659	−	0.898165i
$251$		−	21.1900i		−	1.33750i	−0.743488	−	0.668749i	$-0.766830\pi$
$251$		−	21.1900i		−	1.33750i	0.743488	−	0.668749i	$-0.233170\pi$
$252$	13.6847	−	2.81333i	0.862058	−	0.177223i
$253$	−4.42982			−0.278500
$254$	−13.0199	+	13.6651i	−0.816941	+	0.857426i
$255$	1.04176	−	0.106631i	0.0652375	−	0.00667752i
$256$	15.7017	−	3.07507i	0.981357	−	0.192192i
$257$	−12.7298	+	7.34955i	−0.794062	+	0.458452i	−0.841391	−	0.540427i	$-0.818263\pi$
$257$	−12.7298	+	7.34955i	−0.794062	+	0.458452i	0.0473283	+	0.998879i	$0.484929\pi$
$258$	−3.40633	+	1.00158i	−0.212069	+	0.0623554i
$259$	1.51271	+	9.71888i	0.0939953	+	0.603902i
$260$	−6.53854	+	16.6968i	−0.405503	+	1.03549i
$261$	17.3879	−	10.0389i	1.07629	−	0.621394i
$262$	10.9554	+	2.65342i	0.676830	+	0.163929i
$263$	22.0466	+	12.7286i	1.35945	+	0.784879i	0.989550	−	0.144192i	$-0.0460583\pi$
$263$	22.0466	+	12.7286i	1.35945	+	0.784879i	0.369901	+	0.929071i	$0.379392\pi$
$264$	0.688646	−	3.59476i	0.0423832	−	0.221242i
$265$	−12.1547	+	8.78052i	−0.746656	+	0.539383i
$266$	6.11988	+	4.24836i	0.375234	+	0.260484i
$267$	−5.87049			−0.359268
$268$	0.183947	+	0.0946570i	0.0112364	+	0.00578210i
$269$	−22.6047	−	13.0508i	−1.37823	−	0.795724i	−0.386288	−	0.922378i	$-0.626243\pi$
$269$	−22.6047	−	13.0508i	−1.37823	−	0.795724i	−0.991947	+	0.126654i	$0.959576\pi$
$270$	−4.04713	−	9.90269i	−0.246301	−	0.602659i
$271$	10.9679	+	18.9970i	0.666254	+	1.15399i	0.978944	+	0.204130i	$0.0654367\pi$
$271$	10.9679	+	18.9970i	0.666254	+	1.15399i	−0.312690	+	0.949855i	$0.601230\pi$
$272$	−2.84298	−	1.29320i	−0.172381	−	0.0784118i
$273$	−4.95544	+	3.99096i	−0.299917	+	0.241544i
$274$	9.00654	+	30.6310i	0.544105	+	1.85049i
$275$	2.18548	+	10.5639i	0.131790	+	0.637030i
$276$	−2.46007	+	0.119034i	−0.148079	+	0.00716500i
$277$	−5.13901	+	8.90103i	−0.308773	+	0.534811i	−0.978094	−	0.208162i	$-0.933252\pi$
$277$	−5.13901	+	8.90103i	−0.308773	+	0.534811i	0.669321	+	0.742973i	$0.266585\pi$
$278$	22.0932	−	23.1881i	1.32506	−	1.39073i
$279$	14.3774			0.860751
$280$	−16.6955	+	1.12251i	−0.997747	+	0.0670828i
$281$	23.4219			1.39723			0.698617	−	0.715496i	$-0.253799\pi$
$281$	23.4219			1.39723			0.698617	+	0.715496i	$0.253799\pi$
$282$	6.91142	−	7.25392i	0.411569	−	0.431965i
$283$	10.2758	−	17.7982i	0.610833	−	1.05799i	−0.380268	−	0.924876i	$-0.624168\pi$
$283$	10.2758	−	17.7982i	0.610833	−	1.05799i	0.991100	−	0.133117i	$-0.0424985\pi$
$284$	−1.17352	−	24.2530i	−0.0696356	−	1.43915i
$285$	1.09276	−	2.43653i	0.0647293	−	0.144327i
$286$	−3.45113	−	11.7372i	−0.204069	−	0.694035i
$287$	15.1001	+	5.84274i	0.891333	+	0.344886i
$288$	−2.09787	+	14.7875i	−0.123618	+	0.871361i
$289$	−8.19516	−	14.1944i	−0.482068	−	0.834967i
$290$	−22.2603	+	9.09755i	−1.30717	+	0.534227i
$291$	1.04483	+	0.603234i	0.0612491	+	0.0353622i
$292$	−10.2259	+	19.8720i	−0.598425	+	1.16292i
$293$	27.6472			1.61516			0.807582	−	0.589755i	$-0.200776\pi$
$293$	27.6472			1.61516			0.807582	+	0.589755i	$0.200776\pi$
$294$	−5.34022	−	2.59550i	−0.311448	−	0.151373i
$295$	5.25020	+	7.26774i	0.305679	+	0.423144i
$296$	−10.3272	−	1.97838i	−0.600258	−	0.114991i
$297$	6.32093	+	3.64939i	0.366777	+	0.211759i
$298$	−11.4982	−	2.78487i	−0.666071	−	0.161323i
$299$	−7.12951	+	4.11622i	−0.412310	+	0.238047i
$300$	1.49755	+	5.80787i	0.0864614	+	0.335318i
$301$	−10.3285	−	3.99643i	−0.595324	−	0.230351i
$302$	−26.4559	+	7.77892i	−1.52237	+	0.447627i
$303$	6.10635	−	3.52550i	0.350801	−	0.202535i
$304$	−6.48062	+	4.62947i	−0.371689	+	0.265518i
$305$	−16.5543	+	1.69445i	−0.947898	+	0.0970240i
$306$	2.01113	−	2.11080i	0.114969	−	0.120666i
$307$	8.33747			0.475845			0.237922	−	0.971284i	$-0.423534\pi$
$307$	8.33747			0.475845			0.237922	+	0.971284i	$0.423534\pi$
$308$	8.53502	−	7.58230i	0.486328	−	0.432042i
$309$		−	3.27782i		−	0.186469i
$310$	−17.0619	−	2.32828i	−0.969049	−	0.132237i
$311$	−6.46514	+	11.1979i	−0.366604	+	0.634977i	−0.989032	−	0.147700i	$-0.952813\pi$
$311$	−6.46514	+	11.1979i	−0.366604	+	0.634977i	0.622428	+	0.782677i	$0.286146\pi$
$312$	−2.23195	−	6.42543i	−0.126359	−	0.363768i
$313$	11.2311	−	6.48430i	0.634822	−	0.366514i	−0.147795	−	0.989018i	$-0.547218\pi$
$313$	11.2311	−	6.48430i	0.634822	−	0.366514i	0.782617	+	0.622504i	$0.213884\pi$
$314$	−26.2685	+	7.72380i	−1.48241	+	0.435879i
$315$	4.12401	−	15.0657i	0.232362	−	0.848858i
$316$	1.49994	−	0.965544i	0.0843785	−	0.0543161i
$317$	−4.23790	−	7.34026i	−0.238024	−	0.412270i	0.722123	−	0.691765i	$-0.243166\pi$
$317$	−4.23790	−	7.34026i	−0.238024	−	0.412270i	−0.960147	+	0.279495i	$0.909833\pi$
$318$	1.33891	−	5.52811i	0.0750826	−	0.310001i
$319$	8.20346	−	14.2088i	0.459306	−	0.795541i
$320$	4.88427	−	17.2088i	0.273039	−	0.962003i
$321$	−11.0248			−0.615345
$322$	−6.31080	−	4.38089i	−0.351687	−	0.244138i
$323$	1.55467			0.0865044
$324$	−10.4776	−	5.39166i	−0.582090	−	0.299537i
$325$	13.3335	+	14.9712i	0.739609	+	0.830453i
$326$	−2.00291	+	8.26962i	−0.110931	+	0.458012i
$327$	−9.72029	+	5.61201i	−0.537534	+	0.310345i
$328$	−11.3203	+	13.0940i	−0.625059	+	0.722996i
$329$	30.8802	−	4.80640i	1.70248	−	0.264986i
$330$	−3.23472	−	2.50645i	−0.178065	−	0.137975i
$331$	14.6024	−	8.43069i	0.802620	−	0.463393i	−0.0417665	−	0.999127i	$-0.513299\pi$
$331$	14.6024	−	8.43069i	0.802620	−	0.463393i	0.844386	+	0.535735i	$0.179965\pi$
$332$	−0.386144	−	7.98041i	−0.0211924	−	0.437982i
$333$	4.90774	−	8.50046i	0.268943	−	0.465822i
$334$	10.0613	−	10.5599i	0.550532	−	0.577814i
$335$	0.187487	−	0.135440i	0.0102435	−	0.00739990i
$336$	4.53611	−	4.44012i	0.247465	−	0.242228i
$337$			9.80152i			0.533923i	0.963707	+	0.266961i	$0.0860196\pi$
$337$			9.80152i			0.533923i	−0.963707	+	0.266961i	$0.913980\pi$
$338$	−3.15022	−	3.00148i	−0.171350	−	0.163259i
$339$	1.12071	+	0.647045i	0.0608688	+	0.0351426i
$340$	−2.72847	+	2.17923i	−0.147972	+	0.118186i
$341$	10.1747	−	5.87434i	0.550989	−	0.318114i
$342$	−2.09720	−	7.13254i	−0.113404	−	0.385684i
$343$	−8.27548	−	16.5685i	−0.446834	−	0.894617i
$344$	7.74308	−	8.95630i	0.417479	−	0.482891i
$345$	−1.12685	+	2.51254i	−0.0606673	+	0.135270i
$346$	−2.34973	+	9.70159i	−0.126322	+	0.521561i
$347$	−12.1796	+	21.0956i	−0.653834	+	1.13247i	0.328351	+	0.944556i	$0.393507\pi$
$347$	−12.1796	+	21.0956i	−0.653834	+	1.13247i	−0.982185	+	0.187918i	$0.939826\pi$
$348$	4.17392	−	8.11119i	0.223746	−	0.434805i
$349$		−	11.2499i		−	0.602193i	−0.953594	−	0.301097i	$-0.902647\pi$
$349$		−	11.2499i		−	0.602193i	0.953594	−	0.301097i	$-0.0973527\pi$
$350$	−7.33379	+	17.2109i	−0.392007	+	0.919962i
$351$	13.5642			0.724001
$352$	4.55728	+	11.3221i	0.242904	+	0.603467i
$353$	−14.0767	−	8.12718i	−0.749227	−	0.432566i	0.0761878	−	0.997093i	$-0.475725\pi$
$353$	−14.0767	−	8.12718i	−0.749227	−	0.432566i	−0.825414	+	0.564527i	$0.809058\pi$
$354$	−3.30547	−	0.800588i	−0.175684	−	0.0425508i
$355$	−24.7703	−	11.1092i	−1.31467	−	0.589617i
$356$	16.4599	−	10.5956i	0.872373	−	0.561564i
$357$	−1.22433	+	0.190562i	−0.0647982	+	0.0100856i
$358$	−5.06708	−	17.2330i	−0.267803	−	0.910793i
$359$	−5.35201	−	9.26995i	−0.282468	−	0.489249i	0.689524	−	0.724263i	$-0.257820\pi$
$359$	−5.35201	−	9.26995i	−0.282468	−	0.489249i	−0.971992	+	0.235014i	$0.924486\pi$
$360$	13.6785	+	9.57796i	0.720921	+	0.504803i
$361$	−7.51780	+	13.0212i	−0.395674	+	0.685327i
$362$	−1.48722	+	1.56092i	−0.0781664	+	0.0820400i
$363$	−3.80567			−0.199746
$364$	6.69103	−	20.1340i	0.350705	−	1.05531i
$365$	14.6318	+	20.2544i	0.765861	+	1.06017i
$366$	4.35440	−	4.57018i	0.227608	−	0.238887i
$367$	11.3825	+	6.57170i	0.594162	+	0.343040i	0.766742	−	0.641956i	$-0.221877\pi$
$367$	11.3825	+	6.57170i	0.594162	+	0.343040i	−0.172579	+	0.984996i	$0.555210\pi$
$368$	6.68278	−	4.77389i	0.348364	−	0.248856i
$369$	−8.07875	−	13.9928i	−0.420563	−	0.728436i
$370$	−7.20067	+	9.29287i	−0.374345	+	0.483114i
$371$	13.8177	−	11.1283i	0.717377	−	0.577754i
$372$	5.49257	−	3.53567i	0.284776	−	0.183316i
$373$	9.52653	+	16.5004i	0.493265	+	0.854360i	0.999970	−	0.00775969i	$-0.00247001\pi$
$373$	9.52653	+	16.5004i	0.493265	+	0.854360i	−0.506705	+	0.862119i	$0.669137\pi$
$374$	0.560815	−	2.31550i	0.0289991	−	0.119731i
$375$	6.54766	+	1.44765i	0.338120	+	0.0747563i
$376$	−6.28600	+	32.8132i	−0.324176	+	1.69221i
$377$		−	30.4909i		−	1.57036i
$378$	5.39582	+	11.4501i	0.277531	+	0.588929i
$379$			12.0265i			0.617760i	0.951101	+	0.308880i	$0.0999542\pi$
$379$			12.0265i			0.617760i	−0.951101	+	0.308880i	$0.900046\pi$
$380$	1.33374	+	8.80392i	0.0684194	+	0.451632i
$381$	−6.93250	−	4.00248i	−0.355163	−	0.205053i
$382$	7.30968	−	30.1802i	0.373996	−	1.54416i
$383$	−21.7948	+	12.5832i	−1.11366	+	0.642973i	−0.939775	−	0.341793i	$-0.888966\pi$
$383$	−21.7948	+	12.5832i	−1.11366	+	0.642973i	−0.173886	+	0.984766i	$0.555632\pi$
$384$	2.83508	+	6.16515i	0.144677	+	0.314614i
$385$	−3.23709	−	12.3468i	−0.164978	−	0.629252i
$386$	7.22938	+	24.5869i	0.367966	+	1.25144i
$387$	5.52586	+	9.57107i	0.280895	+	0.486525i
$388$	−4.01831	+	0.194432i	−0.203999	+	0.00987078i
$389$	4.70793	+	2.71813i	0.238702	+	0.137814i	0.614580	−	0.788855i	$-0.289326\pi$
$389$	4.70793	+	2.71813i	0.238702	+	0.137814i	−0.375878	+	0.926669i	$0.622659\pi$
$390$	−7.53507	−	1.02824i	−0.381553	−	0.0520671i
$391$	−1.60317			−0.0810760
$392$	19.6577	−	2.36112i	0.992864	−	0.119255i
$393$			4.78067i			0.241153i
$394$	−1.20833	−	1.15128i	−0.0608749	−	0.0580006i
$395$	−0.203080	−	1.98403i	−0.0102181	−	0.0998276i
$396$	−11.3796	+	0.550617i	−0.571844	+	0.0276695i
$397$	4.56736	+	7.91090i	0.229229	+	0.397037i	0.957580	−	0.288168i	$-0.0930461\pi$
$397$	4.56736	+	7.91090i	0.229229	+	0.397037i	−0.728351	+	0.685205i	$0.759713\pi$
$398$	34.3401	−	10.0971i	1.72131	−	0.506123i
$399$	−1.14018	+	2.94671i	−0.0570803	+	0.147520i
$400$	−14.6814	−	13.5814i	−0.734072	−	0.679071i
$401$	2.21573	+	3.83776i	0.110648	+	0.191649i	0.916032	−	0.401105i	$-0.131374\pi$
$401$	2.21573	+	3.83776i	0.110648	+	0.191649i	−0.805383	+	0.592754i	$0.798041\pi$
$402$	−0.0206529	+	0.0852717i	−0.00103007	+	0.00425297i
$403$	10.9170	−	18.9087i	0.543813	−	0.941912i
$404$	−10.7581	+	20.9062i	−0.535235	+	1.04012i
$405$	−10.6793	+	7.71469i	−0.530658	+	0.383346i
$406$	25.7387	−	12.1293i	1.27739	−	0.601965i
$407$		−	8.02087i		−	0.397580i
$408$	0.249224	−	1.30096i	0.0123384	−	0.0644072i
$409$	−11.0839	+	19.1979i	−0.548065	+	0.949277i	0.450342	+	0.892856i	$0.351302\pi$
$409$	−11.0839	+	19.1979i	−0.548065	+	0.949277i	−0.998407	+	0.0564207i	$0.982031\pi$
$410$	7.32118	+	17.9138i	0.361567	+	0.884698i
$411$	−11.7268	+	6.77044i	−0.578438	+	0.333961i
$412$	5.91609	+	9.19048i	0.291465	+	0.452782i
$413$	−6.65405	−	8.26210i	−0.327424	−	0.406551i
$414$	2.16263	+	7.35504i	0.106287	+	0.361481i
$415$	−8.15062	−	3.65547i	−0.400098	−	0.179440i
$416$	17.8552	+	13.9874i	0.875422	+	0.685791i
$417$	11.7636	+	6.79174i	0.576068	+	0.332593i
$418$	−4.39839	−	4.19072i	−0.215132	−	0.204975i
$419$			12.1929i			0.595663i	0.954618	+	0.297831i	$0.0962633\pi$
$419$			12.1929i			0.595663i	−0.954618	+	0.297831i	$0.903737\pi$
$420$	−2.12947	−	6.76972i	−0.103907	−	0.330328i
$421$			25.3321i			1.23461i	0.786723	+	0.617307i	$0.211776\pi$
$421$			25.3321i			1.23461i	−0.786723	+	0.617307i	$0.788224\pi$
$422$	−10.4766	+	10.9958i	−0.509994	+	0.535268i
$423$	−27.0089	−	15.5936i	−1.31322	−	0.758186i
$424$	6.22352	+	17.9165i	0.302241	+	0.870103i
$425$	0.790937	+	3.82314i	0.0383661	+	0.185450i
$426$	9.87979	−	2.90499i	0.478678	−	0.140747i
$427$	19.4554	−	3.02817i	0.941515	−	0.146544i
$428$	30.9118	−	19.8985i	1.49418	−	0.961831i
$429$	4.49346	−	2.59430i	0.216946	−	0.125254i
$430$	−5.00769	−	12.2530i	−0.241492	−	0.590893i
$431$	5.72177	−	9.91040i	0.275608	−	0.477367i	−0.694680	−	0.719319i	$-0.744454\pi$
$431$	5.72177	−	9.91040i	0.275608	−	0.477367i	0.970288	+	0.241952i	$0.0777875\pi$
$432$	−13.4685	+	1.30645i	−0.648005	+	0.0628565i
$433$			3.29379i			0.158289i	0.996863	+	0.0791446i	$0.0252189\pi$
$433$			3.29379i			0.158289i	−0.996863	+	0.0791446i	$0.974781\pi$
$434$	20.3045	+	1.69359i	0.974645	+	0.0812950i
$435$	−5.97228	−	8.26729i	−0.286349	−	0.396386i
$436$	17.1251	−	33.2792i	0.820143	−	1.59378i
$437$	−2.04403	+	3.54037i	−0.0977794	+	0.169359i
$438$	−9.21199	−	2.23115i	−0.440166	−	0.106609i
$439$	3.04687	+	5.27733i	0.145419	+	0.251873i	0.929529	−	0.368748i	$-0.120214\pi$
$439$	3.04687	+	5.27733i	0.145419	+	0.251873i	−0.784110	+	0.620622i	$0.786880\pi$
$440$	13.5935	+	1.18938i	0.648043	+	0.0567017i
$441$	−3.93913	+	18.0572i	−0.187578	+	0.859864i
$442$	−1.24898	−	4.24775i	−0.0594079	−	0.202045i
$443$	−0.940732	−	1.62940i	−0.0446955	−	0.0774149i	0.842812	−	0.538208i	$-0.180898\pi$
$443$	−0.940732	−	1.62940i	−0.0446955	−	0.0774149i	−0.887508	+	0.460793i	$0.847565\pi$
$444$	−0.215529	−	4.45433i	−0.0102286	−	0.211393i
$445$	−2.22853	−	21.7721i	−0.105643	−	1.03210i
$446$	3.30845	−	3.47241i	0.156660	−	0.164423i
$447$		−	5.01749i		−	0.237319i
$448$	−4.70462	+	20.6365i	−0.222273	+	0.974985i
$449$	8.85316			0.417807			0.208903	−	0.977936i	$-0.433011\pi$
$449$	8.85316			0.417807			0.208903	+	0.977936i	$0.433011\pi$
$450$	16.4729	−	8.78595i	0.776539	−	0.414174i
$451$	−11.4344	−	6.60167i	−0.538426	−	0.310861i
$452$	−4.31014	+	0.208553i	−0.202732	+	0.00980949i
$453$	−5.84762	−	10.1284i	−0.274745	−	0.475872i
$454$	−4.38394	+	1.28902i	−0.205748	+	0.0604969i
$455$	−16.6826	−	16.8634i	−0.782094	−	0.790571i
$456$	−2.55522	−	2.20909i	−0.119659	−	0.103450i
$457$	15.9439	−	9.20521i	0.745823	−	0.430601i	−0.0783594	−	0.996925i	$-0.524968\pi$
$457$	15.9439	−	9.20521i	0.745823	−	0.430601i	0.824183	+	0.566324i	$0.191635\pi$
$458$	−25.2669	−	6.11967i	−1.18064	−	0.285953i
$459$	2.28758	+	1.32073i	0.106775	+	0.0616465i
$460$	−1.37535	−	9.07857i	−0.0641259	−	0.423290i
$461$		−	5.18101i		−	0.241304i	−0.992695	−	0.120652i	$-0.961502\pi$
$461$		−	5.18101i		−	0.241304i	0.992695	−	0.120652i	$-0.0384985\pi$
$462$	3.97746	+	2.76111i	0.185048	+	0.128459i
$463$		−	12.3275i		−	0.572906i	−0.958094	−	0.286453i	$-0.907524\pi$
$463$		−	12.3275i		−	0.572906i	0.958094	−	0.286453i	$-0.0924762\pi$
$464$	2.93676	+	30.2759i	0.136336	+	1.40552i
$465$	−0.743647	−	7.26523i	−0.0344858	−	0.336917i
$466$	−3.38347	−	0.819480i	−0.156736	−	0.0379617i
$467$	7.08130	+	12.2652i	0.327684	+	0.567565i	0.982052	−	0.188611i	$-0.0603986\pi$
$467$	7.08130	+	12.2652i	0.327684	+	0.567565i	−0.654368	+	0.756176i	$0.727065\pi$
$468$	−17.8030	+	11.4601i	−0.822944	+	0.529746i
$469$	−0.213139	+	0.171656i	−0.00984184	+	0.00792632i
$470$	29.5266	+	22.8790i	1.36196	+	1.05533i
$471$	−5.80618	−	10.0566i	−0.267535	−	0.463383i
$472$	10.7130	−	3.72128i	0.493104	−	0.171286i
$473$	7.82115	+	4.51554i	0.359617	+	0.207625i
$474$	0.547736	+	0.521874i	0.0251583	+	0.0239704i
$475$	9.45128	+	3.12781i	0.433655	+	0.143514i
$476$	3.08887	−	2.74407i	0.141578	−	0.125774i
$477$	−17.7049			−0.810650
$478$	24.6859	+	23.5203i	1.12911	+	1.07579i
$479$	−6.12842	+	10.6147i	−0.280015	+	0.485000i	−0.971388	−	0.237498i	$-0.923673\pi$
$479$	−6.12842	+	10.6147i	−0.280015	+	0.485000i	0.691373	+	0.722498i	$0.257006\pi$
$480$	7.58099	+	0.295244i	0.346023	+	0.0134760i
$481$	−7.45306	−	12.9091i	−0.339830	−	0.588603i
$482$	−9.30342	+	2.73551i	−0.423759	+	0.124599i
$483$	1.17575	−	3.03863i	0.0534983	−	0.138263i
$484$	10.6705	−	6.86880i	0.485022	−	0.312218i
$485$	−1.84061	+	4.10401i	−0.0835777	+	0.186354i
$486$	4.55492	−	18.8064i	0.206615	−	0.853074i
$487$	8.95371	+	5.16942i	0.405731	+	0.234249i	0.688954	−	0.724805i	$-0.258070\pi$
$487$	8.95371	+	5.16942i	0.405731	+	0.234249i	−0.283223	+	0.959054i	$0.591404\pi$
$488$	−3.96036	+	20.6732i	−0.179277	+	0.935834i
$489$	−3.60864			−0.163188
$490$	7.59882	−	20.7908i	0.343280	−	0.939233i
$491$			15.4491i			0.697207i	0.937270	+	0.348604i	$0.113344\pi$
$491$			15.4491i			0.697207i	−0.937270	+	0.348604i	$0.886656\pi$
$492$	−6.52741	−	3.35893i	−0.294279	−	0.151432i
$493$	2.96887	−	5.14224i	0.133711	−	0.231595i
$494$	−10.9730	−	2.65766i	−0.493697	−	0.119574i
$495$	−5.21246	+	11.6223i	−0.234283	+	0.522382i
$496$	−9.01878	+	19.8269i	−0.404955	+	0.890255i
$497$	29.9570	+	11.5913i	1.34375	+	0.519942i
$498$	3.25092	−	0.955880i	0.145677	−	0.0428340i
$499$	16.9345	−	9.77716i	0.758094	−	0.437686i	−0.0705169	−	0.997511i	$-0.522465\pi$
$499$	16.9345	−	9.77716i	0.758094	−	0.437686i	0.828611	+	0.559825i	$0.189132\pi$
$500$	−20.9714	+	7.75881i	−0.937871	+	0.346985i
$501$	5.35720	+	3.09298i	0.239342	+	0.138184i
$502$	−20.6716	+	21.6960i	−0.922617	+	0.968339i
$503$			14.0162i			0.624951i	0.949926	+	0.312475i	$0.101158\pi$
$503$			14.0162i			0.624951i	−0.949926	+	0.312475i	$0.898842\pi$
$504$	−16.7560	−	10.4694i	−0.746373	−	0.466346i
$505$	15.3933	+	21.3086i	0.684991	+	0.948219i
$506$	4.53560	+	4.32145i	0.201632	+	0.192112i
$507$	0.922692	−	1.59815i	0.0409782	−	0.0709763i
$508$	26.6616	−	1.29006i	1.18292	−	0.0572373i
$509$	−21.0859	+	12.1740i	−0.934617	+	0.539601i	−0.888269	−	0.459324i	$-0.848092\pi$
$509$	−21.0859	+	12.1740i	−0.934617	+	0.539601i	−0.0463479	+	0.998925i	$0.514758\pi$
$510$	−1.17066	−	0.907096i	−0.0518377	−	0.0401669i
$511$	−18.5441	−	23.0256i	−0.820343	−	1.01859i
$512$	−19.0765	−	12.1691i	−0.843071	−	0.537803i
$513$	5.83328	−	3.36785i	0.257546	−	0.148694i
$514$	20.2035	+	4.89331i	0.891139	+	0.215835i
$515$	12.1566	−	1.24431i	0.535684	−	0.0548310i
$516$	4.46475	+	2.29751i	0.196550	+	0.101142i
$517$	−25.4851			−1.12083
$518$	7.93228	−	11.4267i	0.348525	−	0.502059i
$519$	−4.23352			−0.185831
$520$	22.9830	−	10.7169i	1.00787	−	0.469968i
$521$	7.55339	−	13.0829i	0.330920	−	0.573170i	−0.651773	−	0.758415i	$-0.725974\pi$
$521$	7.55339	−	13.0829i	0.330920	−	0.573170i	0.982692	+	0.185244i	$0.0593076\pi$
$522$	−27.5965	−	6.68390i	−1.20787	−	0.292546i
$523$	−11.8297	−	20.4897i	−0.517277	−	0.895950i	−0.999799	−	0.0200661i	$-0.993612\pi$
$523$	−11.8297	−	20.4897i	−0.517277	−	0.895950i	0.482522	−	0.875884i	$-0.339721\pi$
$524$	−8.62856	−	13.4042i	−0.376940	−	0.585566i
$525$	−7.82639	−	1.30471i	−0.341572	−	0.0569422i
$526$	−10.1558	−	34.5398i	−0.442816	−	1.50601i
$527$	3.68226	−	2.12595i	0.160402	−	0.0926080i
$528$	−4.21191	+	3.00880i	−0.183300	+	0.130941i
$529$	−9.39220	+	16.2678i	−0.408357	+	0.707294i
$530$	21.0106	+	2.86713i	0.912644	+	0.124540i
$531$			10.5864i			0.459411i
$532$	−2.12160	−	10.3200i	−0.0919828	−	0.447428i
$533$	−24.5373			−1.06283
$534$	6.01067	+	5.72687i	0.260107	+	0.247826i
$535$	−4.18519	−	40.8882i	−0.180942	−	1.76775i
$536$	−0.0959984	−	0.276364i	−0.00414650	−	0.0119371i
$537$	6.59747	−	3.80905i	0.284702	−	0.164373i
$538$	10.4130	+	35.4142i	0.448934	+	1.52682i
$539$	4.59017	+	14.3883i	0.197713	+	0.619746i
$540$	−5.51665	+	14.0873i	−0.237399	+	0.606220i
$541$	−23.6912	+	13.6781i	−1.01856	+	0.588067i	−0.913687	−	0.406418i	$-0.866778\pi$
$541$	−23.6912	+	13.6781i	−1.01856	+	0.588067i	−0.104875	+	0.994485i	$0.533444\pi$
$542$	7.30242	−	30.1503i	0.313666	−	1.29506i
$543$	−0.791874	−	0.457189i	−0.0339826	−	0.0196199i
$544$	1.64930	+	4.09751i	0.0707132	+	0.175679i
$545$	−24.5035	−	33.9197i	−1.04962	−	1.45296i
$546$	8.96711	+	0.747945i	0.383757	+	0.0320091i
$547$	−31.7790			−1.35877			−0.679386	−	0.733781i	$-0.737754\pi$
$547$	−31.7790			−1.35877			−0.679386	+	0.733781i	$0.737754\pi$
$548$	20.6600	−	40.1487i	0.882553	−	1.71507i
$549$	−17.0164	−	9.82441i	−0.726241	−	0.419296i
$550$	8.06783	−	12.9482i	0.344013	−	0.552114i
$551$	−7.57058	−	13.1126i	−0.322518	−	0.558617i
$552$	2.63493	+	2.27801i	0.112150	+	0.0969584i
$553$	0.362926	+	2.33173i	0.0154332	+	0.0991553i
$554$	13.9450	−	4.10029i	0.592466	−	0.174205i
$555$	−4.54933	−	2.04033i	−0.193108	−	0.0866071i
$556$	−45.2416	+	2.18908i	−1.91867	+	0.0928378i
$557$	9.40796	−	16.2951i	0.398628	−	0.690444i	−0.594929	−	0.803778i	$-0.702820\pi$
$557$	9.40796	−	16.2951i	0.398628	−	0.690444i	0.993557	+	0.113334i	$0.0361531\pi$
$558$	−14.7207	−	14.0256i	−0.623177	−	0.593753i
$559$	16.7835			0.709866
$560$	18.1892	+	15.1377i	0.768636	+	0.639687i
$561$	1.01042			0.0426600
$562$	−23.9812	−	22.8489i	−1.01159	−	0.963823i
$563$	−12.4214	+	21.5144i	−0.523498	+	0.906725i	0.476128	+	0.879376i	$0.342040\pi$
$563$	−12.4214	+	21.5144i	−0.523498	+	0.906725i	−0.999626	+	0.0273492i	$0.991293\pi$
$564$	−14.1529	+	0.684810i	−0.595946	+	0.0288357i
$565$	−1.97428	+	4.40207i	−0.0830587	+	0.185197i
$566$	−27.8840	+	8.19881i	−1.17205	+	0.344622i
$567$	12.1404	−	9.77751i	0.509849	−	0.410617i
$568$	−22.4582	+	25.9770i	−0.942324	+	1.08997i
$569$	−8.35108	−	14.4645i	−0.350095	−	0.606383i	0.636170	−	0.771549i	$-0.280518\pi$
$569$	−8.35108	−	14.4645i	−0.350095	−	0.606383i	−0.986266	+	0.165165i	$0.947184\pi$
$570$	−3.49577	+	1.42869i	−0.146422	+	0.0598411i
$571$	−0.138508	−	0.0799677i	−0.00579638	−	0.00334654i	0.497099	−	0.867694i	$-0.334399\pi$
$571$	−0.138508	−	0.0799677i	−0.00579638	−	0.00334654i	−0.502895	+	0.864347i	$0.667732\pi$
$572$	−7.91652	+	15.3842i	−0.331006	+	0.643245i
$573$	13.1699			0.550179
$574$	−9.76093	−	20.7130i	−0.407413	−	0.864544i
$575$	−9.74612	−	3.22538i	−0.406441	−	0.134508i
$576$	16.5737	−	13.0941i	0.690571	−	0.545586i
$577$	35.8293	+	20.6861i	1.49159	+	0.861173i	0.999954	−	0.00962514i	$-0.00306382\pi$
$577$	35.8293	+	20.6861i	1.49159	+	0.861173i	0.491641	+	0.870798i	$0.336397\pi$
$578$	−5.45632	+	22.5281i	−0.226953	+	0.937044i
$579$	−9.41284	+	5.43451i	−0.391184	+	0.225850i
$580$	31.6668	+	12.4009i	1.31489	+	0.514918i
$581$	9.85727	+	3.81410i	0.408948	+	0.158236i
$582$	−0.481306	−	1.63691i	−0.0199508	−	0.0678521i
$583$	−12.5295	+	7.23390i	−0.518918	+	0.299597i
$584$	29.8559	−	10.3708i	1.23545	−	0.429147i
$585$	2.41038	+	23.5487i	0.0996568	+	0.973620i
$586$	−28.3074	−	26.9708i	−1.16937	−	1.11415i
$587$	1.53361			0.0632989			0.0316494	−	0.999499i	$-0.489924\pi$
$587$	1.53361			0.0632989			0.0316494	+	0.999499i	$0.489924\pi$
$588$	2.93574	+	7.86706i	0.121068	+	0.324432i
$589$		−	10.8423i		−	0.446749i
$590$	1.71437	−	12.5631i	0.0705794	−	0.517213i
$591$	0.353918	−	0.613003i	0.0145582	−	0.0252156i
$592$	8.64386	+	12.1002i	0.355261	+	0.497316i
$593$	27.3914	−	15.8144i	1.12483	−	0.649421i	0.182201	−	0.983261i	$-0.441678\pi$
$593$	27.3914	−	15.8144i	1.12483	−	0.649421i	0.942630	+	0.333840i	$0.108345\pi$
$594$	−2.91176	−	9.90283i	−0.119471	−	0.406318i
$595$	−1.17152	−	4.46837i	−0.0480276	−	0.183185i
$596$	9.05601	+	14.0682i	0.370948	+	0.576258i
$597$	7.59027	+	13.1467i	0.310649	+	0.538060i
$598$	11.3153	+	2.74057i	0.462716	+	0.112070i
$599$	4.60932	−	7.98358i	0.188332	−	0.326200i	−0.756362	−	0.654153i	$-0.773025\pi$
$599$	4.60932	−	7.98358i	0.188332	−	0.326200i	0.944694	+	0.327953i	$0.106359\pi$
$600$	4.13247	−	7.40748i	0.168707	−	0.302409i
$601$	0.196870			0.00803049			0.00401524	−	0.999992i	$-0.498722\pi$
$601$	0.196870			0.00803049			0.00401524	+	0.999992i	$0.498722\pi$
$602$	6.67647	+	14.1677i	0.272113	+	0.577431i
$603$	0.273099			0.0111215
$604$	34.6763	+	17.8440i	1.41096	+	0.726063i
$605$	−1.44469	−	14.1143i	−0.0587352	−	0.573827i
$606$	−9.69143	−	2.34727i	−0.393687	−	0.0953514i
$607$	−16.7451	+	9.66780i	−0.679663	+	0.392404i	−0.799728	−	0.600362i	$-0.795023\pi$
$607$	−16.7451	+	9.66780i	−0.679663	+	0.392404i	0.120065	+	0.992766i	$0.461690\pi$
$608$	11.1516	+	1.58205i	0.452256	+	0.0641607i
$609$	7.56919	+	9.39841i	0.306719	+	0.380843i
$610$	18.6026	+	14.4144i	0.753199	+	0.583623i
$611$	−41.0165	+	23.6809i	−1.65935	+	0.958027i
$612$	−4.11832	+	0.199271i	−0.166473	+	0.00805505i
$613$	−14.8975	+	25.8033i	−0.601706	+	1.04219i	0.390857	+	0.920452i	$0.372179\pi$
$613$	−14.8975	+	25.8033i	−0.601706	+	1.04219i	−0.992563	+	0.121734i	$0.961155\pi$
$614$	−8.53657	−	8.13350i	−0.344508	−	0.328241i
$615$	−6.65304	+	4.80614i	−0.268276	+	0.193802i
$616$	−16.1356	−	0.562854i	−0.650124	−	0.0226780i
$617$		−	21.9075i		−	0.881962i	−0.897516	−	0.440981i	$-0.854631\pi$
$617$		−	21.9075i		−	0.881962i	0.897516	−	0.440981i	$-0.145369\pi$
$618$	−3.19763	+	3.35610i	−0.128628	+	0.135002i
$619$	−17.6750	−	10.2047i	−0.710419	−	0.410161i	0.100797	−	0.994907i	$-0.467861\pi$
$619$	−17.6750	−	10.2047i	−0.710419	−	0.410161i	−0.811216	+	0.584746i	$0.801194\pi$
$620$	15.1980	+	19.0283i	0.610365	+	0.764196i
$621$	−6.01526	+	3.47291i	−0.241384	+	0.139363i
$622$	17.5435	−	5.15838i	0.703431	−	0.206832i
$623$	3.98263	+	25.5877i	0.159561	+	1.02515i
$624$	−3.98299	+	8.75621i	−0.159447	+	0.350529i
$625$	−2.88336	+	24.8332i	−0.115335	+	0.993327i
$626$	−17.8250	−	4.31723i	−0.712431	−	0.172551i
$627$	1.28828	−	2.23136i	0.0514489	−	0.0891121i
$628$	34.4306	+	17.7176i	1.37393	+	0.707008i
$629$		−	2.90279i		−	0.115742i
$630$	−18.9197	+	11.4024i	−0.753777	+	0.454282i
$631$	12.8735			0.512485			0.256242	−	0.966613i	$-0.417515\pi$
$631$	12.8735			0.512485			0.256242	+	0.966613i	$0.417515\pi$
$632$	−2.47768	−	0.474649i	−0.0985570	−	0.0188805i
$633$	−5.57832	−	3.22065i	−0.221718	−	0.128009i
$634$	−2.82159	+	11.6498i	−0.112059	+	0.462672i
$635$	12.2125	−	27.2303i	0.484638	−	1.08060i
$636$	−6.76376	+	4.35397i	−0.268201	+	0.172646i
$637$	20.7572	+	18.8917i	0.822432	+	0.748518i
$638$	−22.2606	+	6.54535i	−0.881304	+	0.259133i
$639$	−16.0273	−	27.7601i	−0.634031	−	1.09817i
$640$	−21.7887	+	12.8550i	−0.861276	+	0.508138i
$641$	−13.7940	+	23.8918i	−0.544828	+	0.943670i	0.453789	+	0.891109i	$0.350072\pi$
$641$	−13.7940	+	23.8918i	−0.544828	+	0.943670i	−0.998618	+	0.0525613i	$0.983261\pi$
$642$	11.2881	+	10.7551i	0.445505	+	0.424470i
$643$	−38.9675			−1.53673			−0.768365	−	0.640012i	$-0.778929\pi$
$643$	−38.9675			−1.53673			−0.768365	+	0.640012i	$0.778929\pi$
$644$	2.18778	+	10.6419i	0.0862106	+	0.419350i
$645$	4.55068	−	3.28740i	0.179183	−	0.129441i
$646$	−1.59180	−	1.51664i	−0.0626285	−	0.0596714i
$647$	4.98974	+	2.88083i	0.196167	+	0.113257i	0.594866	−	0.803825i	$-0.297205\pi$
$647$	4.98974	+	2.88083i	0.196167	+	0.113257i	−0.398699	+	0.917082i	$0.630538\pi$
$648$	5.46807	+	15.7417i	0.214806	+	0.618393i
$649$	4.32542	+	7.49185i	0.169788	+	0.294081i
$650$	0.953058	−	28.3360i	0.0373820	−	1.11143i
$651$	1.32898	+	8.53844i	0.0520869	+	0.334648i
$652$	10.1180	−	6.51319i	0.396253	−	0.255076i
$653$	5.12698	+	8.88020i	0.200634	+	0.347509i	0.948733	−	0.316079i	$-0.102366\pi$
$653$	5.12698	+	8.88020i	0.200634	+	0.347509i	−0.748099	+	0.663588i	$0.769033\pi$
$654$	15.4271	+	3.73647i	0.603249	+	0.146107i
$655$	−17.7303	+	1.81482i	−0.692779	+	0.0709108i
$656$	24.3643	−	2.36334i	0.951266	−	0.0922728i
$657$			29.5032i			1.15103i
$658$	−36.3065	−	25.2036i	−1.41537	−	0.982538i
$659$		−	41.0910i		−	1.60068i	−0.599548	−	0.800339i	$-0.704653\pi$
$659$		−	41.0910i		−	1.60068i	0.599548	−	0.800339i	$-0.295347\pi$
$660$	0.866829	+	5.72188i	0.0337413	+	0.222724i
$661$	18.6611	+	10.7740i	0.725834	+	0.419060i	0.816896	−	0.576785i	$-0.195693\pi$
$661$	18.6611	+	10.7740i	0.725834	+	0.419060i	−0.0910623	+	0.995845i	$0.529026\pi$
$662$	−23.1755	−	5.61314i	−0.900743	−	0.218161i
$663$	1.62621	−	0.938890i	0.0631566	−	0.0364635i
$664$	−7.38981	+	8.54768i	−0.286780	+	0.331714i
$665$	−11.3614	−	3.11001i	−0.440577	−	0.120601i
$666$	−13.3174	+	3.91577i	−0.516040	+	0.151733i
$667$	7.80675	+	13.5217i	0.302279	+	0.523562i
$668$	−20.6032	+	0.996916i	−0.797162	+	0.0385718i
$669$	1.76160	+	1.01706i	0.0681073	+	0.0393218i
$670$	−0.324091	−	0.0442258i	−0.0125207	−	0.00170859i
$671$	−16.0563			−0.619848
$672$	−8.97593	+	0.121005i	−0.346254	+	0.00466788i
$673$		−	1.46456i		−	0.0564545i	−0.999602	−	0.0282273i	$-0.991014\pi$
$673$		−	1.46456i		−	0.0564545i	0.999602	−	0.0282273i	$-0.00898621\pi$
$674$	9.56173	−	10.0356i	0.368304	−	0.386556i
$675$	11.2496	+	12.6314i	0.432999	+	0.486183i
$676$	0.297398	+	6.14631i	0.0114384	+	0.236397i
$677$	21.1222	+	36.5847i	0.811792	+	1.40607i	0.911608	+	0.411060i	$0.134841\pi$
$677$	21.1222	+	36.5847i	0.811792	+	1.40607i	−0.0998160	+	0.995006i	$0.531825\pi$
$678$	−0.516261	−	1.75579i	−0.0198269	−	0.0674308i
$679$	1.92048	−	4.96335i	0.0737013	−	0.190476i
$680$	4.91954	+	0.430444i	0.188656	+	0.0165068i
$681$	−0.968992	−	1.67834i	−0.0371318	−	0.0643142i
$682$	−16.1483	−	3.91112i	−0.618349	−	0.149765i
$683$	10.8796	−	18.8441i	0.416298	−	0.721050i	−0.579266	−	0.815139i	$-0.696661\pi$
$683$	10.8796	−	18.8441i	0.416298	−	0.721050i	0.995564	+	0.0940893i	$0.0299939\pi$
$684$	−4.81076	+	9.34876i	−0.183944	+	0.357459i
$685$	−29.5615	−	40.9214i	−1.12949	−	1.56353i
$686$	−7.69010	+	25.0372i	−0.293609	+	0.955925i
$687$		−	11.0258i		−	0.420661i
$688$	−16.6652	+	1.61652i	−0.635354	+	0.0616293i
$689$	−13.4436	+	23.2850i	−0.512160	+	0.887086i
$690$	3.60482	−	1.47326i	0.137233	−	0.0560859i
$691$	26.9061	−	15.5342i	1.02355	−	0.590950i	0.108423	−	0.994105i	$-0.465420\pi$
$691$	26.9061	−	15.5342i	1.02355	−	0.590950i	0.915132	+	0.403155i	$0.132086\pi$
$692$	11.8701	−	7.64101i	0.451233	−	0.290468i
$693$	5.43866	−	14.0558i	0.206598	−	0.533937i
$694$	33.0500	−	9.71779i	1.25456	−	0.368882i
$695$	−20.7232	+	46.2066i	−0.786075	+	1.75272i
$696$	−12.1863	+	4.23307i	−0.461922	+	0.160454i
$697$	−4.13818	−	2.38918i	−0.156745	−	0.0904966i
$698$	−10.9747	+	11.5185i	−0.415398	+	0.435983i
$699$		−	1.47646i		−	0.0558448i
$700$	24.2988	−	10.4675i	0.918407	−	0.395636i
$701$		−	15.3586i		−	0.580087i	−0.957013	−	0.290044i	$-0.906330\pi$
$701$		−	15.3586i		−	0.580087i	0.957013	−	0.290044i	$-0.0936698\pi$
$702$	−13.8881	−	13.2323i	−0.524171	−	0.499422i
$703$	−6.41039	−	3.70104i	−0.241772	−	0.139587i
$704$	6.37896	−	16.0382i	0.240416	−	0.604463i
$705$	−6.48282	+	14.4548i	−0.244157	+	0.544399i
$706$	6.48448	+	22.0536i	0.244047	+	0.829997i
$707$	−19.5092	−	24.2240i	−0.733721	−	0.911036i
$708$	2.60340	+	4.04431i	0.0978418	+	0.151994i
$709$	15.5641	−	8.98596i	0.584523	−	0.337475i	−0.178406	−	0.983957i	$-0.557094\pi$
$709$	15.5641	−	8.98596i	0.584523	−	0.337475i	0.762929	+	0.646482i	$0.223761\pi$
$710$	14.5244	+	35.5389i	0.545091	+	1.33375i
$711$	1.17745	−	2.03941i	0.0441580	−	0.0764839i
$712$	−27.1893	−	5.20864i	−1.01896	−	0.195202i
$713$			11.1805i			0.418714i
$714$	1.43946	+	0.999260i	0.0538705	+	0.0373964i
$715$	11.3274	+	15.6803i	0.423620	+	0.586409i
$716$	−11.6233	+	22.5876i	−0.434385	+	0.844140i
$717$	−7.23044	+	12.5235i	−0.270026	+	0.467699i
$718$	−3.56335	+	14.7124i	−0.132983	+	0.549061i
$719$	5.66631	+	9.81434i	0.211318	+	0.366013i	0.952127	−	0.305702i	$-0.0988912\pi$
$719$	5.66631	+	9.81434i	0.211318	+	0.366013i	−0.740809	+	0.671715i	$0.765558\pi$
$720$	−4.66151	−	23.1505i	−0.173724	−	0.862770i
$721$	−14.2870	+	2.22373i	−0.532076	+	0.0828159i
$722$	20.4000	−	5.99827i	0.759209	−	0.223233i
$723$	−2.05636	−	3.56171i	−0.0764767	−	0.132462i
$724$	3.04546	−	0.147359i	0.113184	−	0.00547656i
$725$	28.3941	−	25.2880i	1.05453	−	0.939174i
$726$	3.89655	+	3.71257i	0.144615	+	0.137786i
$727$		−	15.4116i		−	0.571585i	−0.958291	−	0.285793i	$-0.907743\pi$
$727$		−	15.4116i		−	0.571585i	0.958291	−	0.285793i	$-0.0922569\pi$
$728$	−26.4923	+	14.0875i	−0.981869	+	0.522117i
$729$	−9.46865			−0.350691
$730$	4.77776	−	35.0119i	0.176833	−	1.29585i
$731$	2.83051	+	1.63420i	0.104690	+	0.0604429i
$732$	−8.91675	+	0.431450i	−0.329573	+	0.0159469i
$733$	−15.3608	−	26.6057i	−0.567364	−	0.982703i	−0.996825	−	0.0796177i	$-0.974630\pi$
$733$	−15.3608	−	26.6057i	−0.567364	−	0.982703i	0.429462	−	0.903085i	$-0.358703\pi$
$734$	−5.24340	−	17.8327i	−0.193537	−	0.658216i
$735$	9.32846	+	1.05656i	0.344085	+	0.0389719i
$736$	−11.4995	−	1.63141i	−0.423876	−	0.0601344i
$737$	0.193268	−	0.111584i	0.00711914	−	0.00411023i
$738$	−5.37881	+	22.2081i	−0.197997	+	0.817490i
$739$	22.5691	+	13.0303i	0.830218	+	0.479327i	0.853927	−	0.520392i	$-0.174214\pi$
$739$	22.5691	+	13.0303i	0.830218	+	0.479327i	−0.0237092	+	0.999719i	$0.507548\pi$
$740$	16.4382	−	2.49028i	0.604278	−	0.0915444i
$741$		−	4.78831i		−	0.175903i
$742$	−25.0037	−	2.08556i	−0.917915	−	0.0765632i
$743$		−	0.248382i		−	0.00911225i	−0.999990	−	0.00455612i	$-0.998550\pi$
$743$		−	0.248382i		−	0.00911225i	0.999990	−	0.00455612i	$-0.00145026\pi$
$744$	−9.07290	−	1.73809i	−0.332629	−	0.0637215i
$745$	18.6086	−	1.90472i	0.681767	−	0.0697836i
$746$	6.34274	−	26.1879i	0.232224	−	0.958808i
$747$	−5.27375	−	9.13440i	−0.192956	−	0.334210i
$748$	−2.83306	+	1.82369i	−0.103587	+	0.0666808i
$749$	7.47941	+	48.0538i	0.273292	+	1.75585i
$750$	−5.29179	−	7.86970i	−0.193229	−	0.287361i
$751$	3.34434	+	5.79257i	0.122037	+	0.211374i	0.920571	−	0.390576i	$-0.127724\pi$
$751$	3.34434	+	5.79257i	0.122037	+	0.211374i	−0.798534	+	0.601950i	$0.794391\pi$
$752$	38.4465	−	27.4645i	1.40200	−	1.00153i
$753$	−11.0067	−	6.35470i	−0.401105	−	0.231578i
$754$	−29.7449	+	31.2190i	−1.08325	+	1.13693i
$755$	35.3437	−	25.5322i	1.28629	−	0.929212i
$756$	5.64531	−	16.9873i	0.205318	−	0.617824i
$757$	3.74633			0.136163			0.0680814	−	0.997680i	$-0.478312\pi$
$757$	3.74633			0.136163			0.0680814	+	0.997680i	$0.478312\pi$
$758$	11.7323	−	12.3137i	0.426136	−	0.447254i
$759$	−1.32847	+	2.30097i	−0.0482203	+	0.0835200i
$760$	7.22295	−	10.3153i	0.262004	−	0.374174i
$761$	−5.87916	−	10.1830i	−0.213119	−	0.369134i	0.739570	−	0.673080i	$-0.235029\pi$
$761$	−5.87916	−	10.1830i	−0.213119	−	0.369134i	−0.952689	+	0.303946i	$0.901696\pi$
$762$	3.19348	+	10.8610i	0.115688	+	0.393451i
$763$	31.0555	+	38.5605i	1.12428	+	1.39598i
$764$	−36.9261	+	23.7701i	−1.33594	+	0.859972i
$765$	−1.88642	+	4.20615i	−0.0682035	+	0.152074i
$766$	34.5906	+	8.37788i	1.24981	+	0.302705i
$767$	13.9230	+	8.03843i	0.502729	+	0.290251i
$768$	3.11154	−	9.07810i	0.112278	−	0.327578i
$769$	44.4815			1.60405			0.802023	−	0.597293i	$-0.203757\pi$
$769$	44.4815			1.60405			0.802023	+	0.597293i	$0.203757\pi$
$770$	−8.73036	+	15.7995i	−0.314620	+	0.569376i
$771$			8.81628i			0.317511i
$772$	16.5834	−	32.2266i	0.596850	−	1.15986i
$773$	−5.08075	+	8.80011i	−0.182742	+	0.316518i	−0.942813	−	0.333322i	$-0.891831\pi$
$773$	−5.08075	+	8.80011i	−0.182742	+	0.316518i	0.760072	+	0.649839i	$0.225164\pi$
$774$	3.67911	−	15.1903i	0.132243	−	0.546004i
$775$	26.6626	−	5.51600i	0.957749	−	0.198140i
$776$	4.30394	+	3.72093i	0.154502	+	0.133574i
$777$	5.50191	+	2.12887i	0.197380	+	0.0763728i
$778$	−2.16873	−	7.37579i	−0.0777526	−	0.264435i
$779$	−10.5523	+	6.09237i	−0.378075	+	0.218282i
$780$	6.71192	+	8.40353i	0.240325	+	0.300895i
$781$	−22.6846	−	13.0970i	−0.811719	−	0.468646i
$782$	1.64146	+	1.56395i	0.0586984	+	0.0559269i
$783$		−	25.7255i		−	0.919356i
$784$	−22.4305	−	16.7593i	−0.801089	−	0.598546i
$785$	35.0932	−	25.3513i	1.25253	−	0.904826i
$786$	4.66371	−	4.89483i	0.166349	−	0.174593i
$787$	1.95796	−	3.39129i	0.0697938	−	0.120886i	−0.829017	−	0.559224i	$-0.811099\pi$
$787$	1.95796	−	3.39129i	0.0697938	−	0.120886i	0.898810	+	0.438338i	$0.144433\pi$
$788$	0.114073	+	2.35754i	0.00406369	+	0.0839840i
$789$	13.2232	−	7.63441i	0.470758	−	0.271792i
$790$	−1.72757	+	2.22952i	−0.0614641	+	0.0793229i
$791$	2.05996	−	5.32381i	0.0732437	−	0.189293i
$792$	12.1884	+	10.5374i	0.433097	+	0.374430i
$793$	−25.8416	+	14.9197i	−0.917663	+	0.529813i
$794$	3.04094	−	12.5554i	0.107919	−	0.445576i
$795$	0.915756	+	8.94669i	0.0324785	+	0.317306i
$796$	−45.0102	−	23.1617i	−1.59534	−	0.820946i
$797$	−5.97386			−0.211605			−0.105802	−	0.994387i	$-0.533741\pi$
$797$	−5.97386			−0.211605			−0.105802	+	0.994387i	$0.533741\pi$
$798$	4.04202	−	1.90479i	0.143086	−	0.0674288i
$799$	−9.22317			−0.326292
$800$	1.78288	+	28.2280i	0.0630342	+	0.998011i
$801$	12.9210	−	22.3798i	0.456541	−	0.790752i
$802$	1.47523	−	6.09094i	0.0520922	−	0.215078i
$803$	12.0545	+	20.8790i	0.425394	+	0.736803i
$804$	0.104332	−	0.0671604i	0.00367950	−	0.00236856i
$805$	11.7158	+	3.20703i	0.412929	+	0.113033i
$806$	−29.6238	+	8.71039i	−1.04345	+	0.306810i
$807$	−13.5579	+	7.82769i	−0.477262	+	0.275548i
$808$	31.4097	−	10.9105i	1.10499	−	0.383832i
$809$	15.6037	−	27.0264i	0.548597	−	0.950198i	−0.449774	−	0.893142i	$-0.648495\pi$
$809$	15.6037	−	27.0264i	0.548597	−	0.950198i	0.998371	−	0.0570556i	$-0.0181712\pi$
$810$	18.4603	+	2.51910i	0.648627	+	0.0885123i
$811$		−	9.93463i		−	0.348852i	−0.984670	−	0.174426i	$-0.944193\pi$
$811$		−	9.93463i		−	0.348852i	0.984670	−	0.174426i	$-0.0558070\pi$
$812$	−38.1858	−	12.6901i	−1.34006	−	0.445335i
$813$	13.1568			0.461428
$814$	−7.82465	+	8.21241i	−0.274254	+	0.287845i
$815$	−1.36990	−	13.3835i	−0.0479854	−	0.468805i
$816$	−1.52431	+	1.08890i	−0.0533615	+	0.0381192i
$817$	7.21776	−	4.16718i	0.252518	−	0.145791i
$818$	30.0769	−	8.84361i	1.05161	−	0.309209i
$819$	−4.30761	−	27.6756i	−0.150520	−	0.967063i
$820$	9.97951	−	25.4836i	0.348500	−	0.889927i
$821$	−17.1812	+	9.91959i	−0.599629	+	0.346196i	−0.768896	−	0.639374i	$-0.779194\pi$
$821$	−17.1812	+	9.91959i	−0.599629	+	0.346196i	0.169266	+	0.985570i	$0.445860\pi$
$822$	18.6116	+	4.50775i	0.649154	+	0.157226i
$823$	−8.90593	−	5.14184i	−0.310441	−	0.179233i	0.336683	−	0.941618i	$-0.390695\pi$
$823$	−8.90593	−	5.14184i	−0.310441	−	0.179233i	−0.647124	+	0.762385i	$0.724028\pi$
$824$	2.90827	−	15.1813i	0.101315	−	0.528866i
$825$	6.14262	+	2.03284i	0.213858	+	0.0707744i
$826$	−1.24703	+	14.9507i	−0.0433898	+	0.520200i
$827$	33.0692			1.14993			0.574965	−	0.818178i	$-0.305016\pi$
$827$	33.0692			1.14993			0.574965	+	0.818178i	$0.305016\pi$
$828$	4.96084	−	9.64040i	0.172401	−	0.335027i
$829$	25.9308	+	14.9712i	0.900615	+	0.519970i	0.877400	−	0.479760i	$-0.159276\pi$
$829$	25.9308	+	14.9712i	0.900615	+	0.519970i	0.0232155	+	0.999730i	$0.492610\pi$
$830$	4.77922	+	11.6940i	0.165889	+	0.405904i
$831$	3.08230	+	5.33869i	0.106924	+	0.185197i
$832$	−4.63630	−	31.7398i	−0.160735	−	1.10038i
$833$	1.66120	+	5.20718i	0.0575573	+	0.180418i
$834$	−5.41897	−	18.4298i	−0.187643	−	0.638171i
$835$	−9.43740	+	21.0426i	−0.326595	+	0.728211i
$836$	0.415232	+	8.58158i	0.0143611	+	0.296800i
$837$	9.21079	−	15.9535i	0.318371	−	0.551435i
$838$	11.8946	−	12.4841i	0.410893	−	0.431255i
$839$	27.1661			0.937880			0.468940	−	0.883230i	$-0.344636\pi$
$839$	27.1661			0.937880			0.468940	+	0.883230i	$0.344636\pi$
$840$	−4.42378	+	9.00875i	−0.152635	+	0.310831i
$841$	−28.8284			−0.994084
$842$	24.7124	−	25.9371i	0.851646	−	0.893851i
$843$	7.02404	−	12.1660i	0.241921	−	0.419019i
$844$	21.4536	−	1.03806i	0.738464	−	0.0357317i
$845$	6.27740	+	2.81535i	0.215949	+	0.0968509i
$846$	12.4417	+	42.3141i	0.427756	+	1.45479i
$847$	2.58183	+	16.5878i	0.0887127	+	0.569962i
$848$	11.1061	−	24.4156i	0.381384	−	0.838436i
$849$	−6.16326	−	10.6751i	−0.211522	−	0.366367i
$850$	2.91979	−	4.68603i	0.100148	−	0.160729i
$851$	6.61037	+	3.81650i	0.226600	+	0.130828i
$852$	−12.9496	−	6.66373i	−0.443647	−	0.228296i
$853$	3.67396			0.125794			0.0628970	−	0.998020i	$-0.479966\pi$
$853$	3.67396			0.125794			0.0628970	+	0.998020i	$0.479966\pi$
$854$	−22.8741	−	15.8790i	−0.782736	−	0.543368i
$855$	6.88350	+	9.52869i	0.235411	+	0.325874i
$856$	−51.0617	−	9.78185i	−1.74525	−	0.334337i
$857$	−26.1157	−	15.0779i	−0.892094	−	0.515051i	−0.0174674	−	0.999847i	$-0.505560\pi$
$857$	−26.1157	−	15.0779i	−0.892094	−	0.515051i	−0.874627	+	0.484797i	$0.838894\pi$
$858$	−7.13160	−	1.72728i	−0.243469	−	0.0589684i
$859$	34.5661	−	19.9567i	1.17938	−	0.680915i	0.223508	−	0.974702i	$-0.428249\pi$
$859$	34.5661	−	19.9567i	1.17938	−	0.680915i	0.955871	+	0.293787i	$0.0949157\pi$
$860$	−6.82598	+	17.4308i	−0.232764	+	0.594385i
$861$	7.56329	−	6.09125i	0.257756	−	0.207589i
$862$	−15.5264	+	4.56526i	−0.528830	+	0.155494i
$863$	−4.07178	+	2.35084i	−0.138605	+	0.0800237i	−0.567699	−	0.823236i	$-0.692166\pi$
$863$	−4.07178	+	2.35084i	−0.138605	+	0.0800237i	0.429094	+	0.903260i	$0.358833\pi$
$864$	15.0646	+	11.8014i	0.512510	+	0.401491i
$865$	−1.60711	−	15.7010i	−0.0546434	−	0.533851i
$866$	3.21321	−	3.37244i	0.109189	−	0.114600i
$867$	−9.83065			−0.333866
$868$	−19.1372	−	21.5418i	−0.649558	−	0.731175i
$869$		−	1.92435i		−	0.0652791i
$870$	−1.95015	+	14.2909i	−0.0661162	+	0.484506i
$871$	0.207369	−	0.359173i	0.00702642	−	0.0121701i
$872$	−49.9991	+	17.3678i	−1.69318	+	0.588147i
$873$	−4.59937	+	2.65545i	−0.155665	+	0.0898733i
$874$	5.54661	−	1.63089i	0.187617	−	0.0551656i
$875$	1.86782	−	29.5214i	0.0631438	−	0.998004i
$876$	7.25540	+	11.2711i	0.245137	+	0.380814i
$877$	−4.20632	−	7.28556i	−0.142037	−	0.246016i	0.786226	−	0.617939i	$-0.212032\pi$
$877$	−4.20632	−	7.28556i	−0.142037	−	0.246016i	−0.928264	+	0.371923i	$0.878699\pi$
$878$	2.02860	−	8.37568i	0.0684618	−	0.282666i
$879$	8.29116	−	14.3607i	0.279654	−	0.484375i
$880$	−12.7578	−	14.4787i	−0.430065	−	0.488077i
$881$	32.9632			1.11056			0.555279	−	0.831664i	$-0.312612\pi$
$881$	32.9632			1.11056			0.555279	+	0.831664i	$0.312612\pi$
$882$	21.6486	−	14.6456i	0.728946	−	0.493143i
$883$	50.6114			1.70321			0.851605	−	0.524185i	$-0.175630\pi$
$883$	50.6114			1.70321			0.851605	+	0.524185i	$0.175630\pi$
$884$	−2.86503	+	5.56761i	−0.0963613	+	0.187259i
$885$	5.34956	−	0.547565i	0.179824	−	0.0184062i
$886$	−0.626337	+	2.58602i	−0.0210422	+	0.0868792i
$887$	35.1988	−	20.3220i	1.18186	−	0.682346i	0.225415	−	0.974263i	$-0.427626\pi$
$887$	35.1988	−	20.3220i	1.18186	−	0.682346i	0.956444	+	0.291917i	$0.0942929\pi$
$888$	−4.12468	+	4.77095i	−0.138415	+	0.160103i
$889$	−12.7425	+	32.9320i	−0.427369	+	1.10450i
$890$	−18.9578	+	24.4661i	−0.635466	+	0.820105i
$891$	−11.0086	+	6.35581i	−0.368801	+	0.212927i
$892$	−6.77491	+	0.327814i	−0.226841	+	0.0109760i
$893$	−11.7595	+	20.3680i	−0.393516	+	0.681589i
$894$	−4.89475	+	5.13731i	−0.163705	+	0.171817i
$895$	16.6313	+	23.0224i	0.555923	+	0.769553i
$896$	24.9486	−	16.5398i	0.833476	−	0.552556i
$897$			4.93769i			0.164865i
$898$	−9.06457	−	8.63658i	−0.302489	−	0.288206i
$899$	−35.8620	−	20.7049i	−1.19606	−	0.690548i
$900$	−25.4373	−	7.07412i	−0.847908	−	0.235804i
$901$	−4.53448	+	2.61798i	−0.151065	+	0.0872176i
$902$	5.26732	+	17.9140i	0.175382	+	0.596471i
$903$	−5.17329	+	4.16641i	−0.172156	+	0.138649i
$904$	4.61652	+	3.99117i	0.153543	+	0.132744i
$905$	1.39499	−	3.11042i	0.0463710	−	0.103394i
$906$	−3.89333	+	16.0748i	−0.129347	+	0.534049i
$907$	−19.2920	+	33.4146i	−0.640579	+	1.10951i	0.344725	+	0.938704i	$0.387972\pi$
$907$	−19.2920	+	33.4146i	−0.640579	+	1.10951i	−0.985304	+	0.170811i	$0.945361\pi$
$908$	5.74611	+	2.95688i	0.190691	+	0.0981276i
$909$			31.0387i			1.02949i
$910$	0.630118	+	33.5407i	0.0208882	+	1.11186i
$911$	−28.6947			−0.950699			−0.475350	−	0.879797i	$-0.657678\pi$
$911$	−28.6947			−0.950699			−0.475350	+	0.879797i	$0.657678\pi$
$912$	0.461192	+	4.75455i	0.0152716	+	0.157439i
$913$	−7.46432	−	4.30953i	−0.247033	−	0.142624i
$914$	−25.3046	−	6.12880i	−0.837003	−	0.202723i
$915$	−4.08436	+	9.10694i	−0.135025	+	0.301066i
$916$	19.9003	+	30.9146i	0.657525	+	1.02145i
$917$	20.8375	−	3.24328i	0.688114	−	0.107103i
$918$	−1.05378	−	3.58388i	−0.0347799	−	0.118286i
$919$	1.72875	+	2.99428i	0.0570262	+	0.0987723i	0.893129	−	0.449800i	$-0.148505\pi$
$919$	1.72875	+	2.99428i	0.0570262	+	0.0987723i	−0.836103	+	0.548572i	$0.815171\pi$
$920$	−7.44828	+	10.6371i	−0.245563	+	0.350694i
$921$	2.50034	−	4.33072i	0.0823890	−	0.142702i
$922$	−5.05426	+	5.30473i	−0.166453	+	0.174702i
$923$	−48.6792			−1.60229
$924$	−1.37888	−	6.70720i	−0.0453617	−	0.220651i
$925$	5.84006	−	17.6469i	0.192020	−	0.580225i
$926$	−12.0259	+	12.6218i	−0.395195	+	0.414779i
$927$	12.4959	+	7.21451i	0.410419	+	0.236956i
$928$	26.5283	−	33.8638i	0.870835	−	1.11163i
$929$	1.03198	+	1.78744i	0.0338582	+	0.0586441i	0.882458	−	0.470391i	$-0.155887\pi$
$929$	1.03198	+	1.78744i	0.0338582	+	0.0586441i	−0.848600	+	0.529035i	$0.822554\pi$
$930$	−6.32609	+	8.16418i	−0.207441	+	0.267714i
$931$	13.6173	+	2.97059i	0.446289	+	0.0973572i
$932$	2.66484	+	4.13975i	0.0872897	+	0.135602i
$933$	3.87768	+	6.71635i	0.126950	+	0.219883i
$934$	4.71472	−	19.4661i	0.154270	−	0.636951i
$935$	0.383572	+	3.74739i	0.0125441	+	0.122553i
$936$	29.4079	+	5.63366i	0.961228	+	0.184142i
$937$		−	30.4583i		−	0.995028i	−0.867456	−	0.497514i	$-0.834246\pi$
$937$		−	30.4583i		−	0.995028i	0.867456	−	0.497514i	$-0.165754\pi$
$938$	0.385685	+	0.0321699i	0.0125931	+	0.00105039i
$939$		−	7.77836i		−	0.253837i
$940$	−7.91246	−	52.2296i	−0.258076	−	1.70354i
$941$	−4.41446	−	2.54869i	−0.143907	−	0.0830849i	0.426318	−	0.904574i	$-0.359811\pi$
$941$	−4.41446	−	2.54869i	−0.143907	−	0.0830849i	−0.570225	+	0.821489i	$0.693144\pi$
$942$	−3.86574	+	15.9609i	−0.125953	+	0.520034i
$943$	10.8815	−	6.28242i	0.354350	−	0.204584i
$944$	−14.5990	−	6.64075i	−0.475158	−	0.216138i
$945$	−14.0754	−	14.2279i	−0.457871	−	0.462834i
$946$	−3.60284	−	12.2532i	−0.117139	−	0.398385i
$947$	18.2285	+	31.5726i	0.592345	+	1.02597i	0.993916	+	0.110144i	$0.0351313\pi$
$947$	18.2285	+	31.5726i	0.592345	+	1.02597i	−0.401570	+	0.915828i	$0.631535\pi$
$948$	−0.0517093	−	1.06867i	−0.00167944	−	0.0347088i
$949$	38.8018	+	22.4022i	1.25956	+	0.727207i
$950$	−6.62569	−	12.4226i	−0.214966	−	0.403041i
$951$	−5.08365			−0.164849
$952$	−5.83957	−	0.203700i	−0.189262	−	0.00660194i
$953$			35.7806i			1.15905i	0.814956	+	0.579523i	$0.196761\pi$
$953$			35.7806i			1.15905i	−0.814956	+	0.579523i	$0.803239\pi$
$954$	18.1276	+	17.2717i	0.586904	+	0.559193i
$955$	4.99949	+	48.8436i	0.161780	+	1.58054i
$956$	−2.33049	−	48.1640i	−0.0753733	−	1.55773i
$957$	−4.92030	−	8.52222i	−0.159051	−	0.275484i
$958$	16.6298	−	4.88972i	0.537285	−	0.157980i
$959$	37.4659	+	46.5202i	1.20984	+	1.50221i
$960$	−7.47400	−	7.69782i	−0.241222	−	0.248446i
$961$	0.673599	+	1.16671i	0.0217290	+	0.0376358i
$962$	−4.96223	+	20.4881i	−0.159989	+	0.660562i
$963$	24.2657	−	42.0294i	0.781951	−	1.35438i
$964$	12.1942	+	6.27498i	0.392748	+	0.202103i
$965$	−23.7285	−	32.8468i	−0.763846	−	1.05738i
$966$	−4.16812	+	1.96421i	−0.134107	+	0.0631975i
$967$			23.6710i			0.761208i	0.924738	+	0.380604i	$0.124284\pi$
$967$			23.6710i			0.761208i	−0.924738	+	0.380604i	$0.875716\pi$
$968$	−17.6261	−	3.37661i	−0.566523	−	0.108528i
$969$	0.466234	−	0.807542i	0.0149776	−	0.0259420i
$970$	5.88817	−	2.40644i	0.189058	−	0.0772661i
$971$	19.0185	−	10.9803i	0.610331	−	0.352375i	−0.162764	−	0.986665i	$-0.552041\pi$
$971$	19.0185	−	10.9803i	0.610331	−	0.352375i	0.773095	+	0.634290i	$0.218708\pi$
$972$	−23.0100	+	14.8120i	−0.738045	+	0.475094i
$973$	21.6225	−	55.8817i	0.693185	−	1.79149i
$974$	−4.12456	−	14.0275i	−0.132159	−	0.449471i
$975$	11.7751	−	2.43604i	0.377104	−	0.0780158i
$976$	24.2224	−	17.3034i	0.775341	−	0.553870i
$977$	3.24461	+	1.87328i	0.103804	+	0.0599314i	0.551003	−	0.834503i	$-0.314245\pi$
$977$	3.24461	+	1.87328i	0.103804	+	0.0599314i	−0.447199	+	0.894434i	$0.647578\pi$
$978$	3.69482	+	3.52036i	0.118147	+	0.112569i
$979$		−	21.1172i		−	0.674908i
$980$	−28.0625	+	13.8744i	−0.896422	+	0.443201i
$981$		−	49.4084i		−	1.57749i
$982$	15.0711	−	15.8180i	0.480939	−	0.504773i
$983$	37.1766	+	21.4639i	1.18575	+	0.684593i	0.957338	−	0.288972i	$-0.0933134\pi$
$983$	37.1766	+	21.4639i	1.18575	+	0.684593i	0.228412	+	0.973565i	$0.426647\pi$
$984$	3.40653	+	9.80687i	0.108596	+	0.312631i
$985$	2.40783	+	1.07988i	0.0767197	+	0.0344080i
$986$	−8.05621	+	2.36879i	−0.256562	+	0.0754377i
$987$	6.76415	−	17.4815i	0.215305	−	0.556441i
$988$	8.64236	+	13.4257i	0.274950	+	0.427127i
$989$	−7.44293	+	4.29718i	−0.236671	+	0.136642i
$990$	16.6749	−	6.81486i	0.529962	−	0.216590i
$991$	−20.7154	+	35.8802i	−0.658047	+	1.13977i	0.323073	+	0.946374i	$0.395284\pi$
$991$	−20.7154	+	35.8802i	−0.658047	+	1.13977i	−0.981121	+	0.193397i	$0.938049\pi$
$992$	28.5760	−	11.5022i	0.907289	−	0.365196i
$993$		−	10.1132i		−	0.320932i
$994$	−19.3646	−	41.0922i	−0.614207	−	1.30337i
$995$	−45.8765	+	33.1411i	−1.45438	+	1.05064i
$996$	−4.26105	−	2.19269i	−0.135017	−	0.0694779i
$997$	−11.5282	+	19.9675i	−0.365102	+	0.632376i	−0.988793	−	0.149296i	$-0.952299\pi$
$997$	−11.5282	+	19.9675i	−0.365102	+	0.632376i	0.623690	+	0.781672i	$0.285633\pi$
$998$	−26.8769	−	6.50961i	−0.850774	−	0.206058i
$999$	−6.28824	−	10.8916i	−0.198951	−	0.344593i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bf.a.109.11	✓	88
4.3	odd	2		1120.2.bv.a.529.19		88
5.4	even	2	inner	280.2.bf.a.109.34	yes	88
7.2	even	3	inner	280.2.bf.a.149.20	yes	88
8.3	odd	2		1120.2.bv.a.529.26		88
8.5	even	2	inner	280.2.bf.a.109.25	yes	88
20.19	odd	2		1120.2.bv.a.529.25		88
28.23	odd	6		1120.2.bv.a.849.20		88
35.9	even	6	inner	280.2.bf.a.149.25	yes	88
40.19	odd	2		1120.2.bv.a.529.20		88
40.29	even	2	inner	280.2.bf.a.109.20	yes	88
56.37	even	6	inner	280.2.bf.a.149.34	yes	88
56.51	odd	6		1120.2.bv.a.849.25		88
140.79	odd	6		1120.2.bv.a.849.26		88
280.149	even	6	inner	280.2.bf.a.149.11	yes	88
280.219	odd	6		1120.2.bv.a.849.19		88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bf.a.109.11	✓	88	1.1	even	1	trivial
280.2.bf.a.109.20	yes	88	40.29	even	2	inner
280.2.bf.a.109.25	yes	88	8.5	even	2	inner
280.2.bf.a.109.34	yes	88	5.4	even	2	inner
280.2.bf.a.149.11	yes	88	280.149	even	6	inner
280.2.bf.a.149.20	yes	88	7.2	even	3	inner
280.2.bf.a.149.25	yes	88	35.9	even	6	inner
280.2.bf.a.149.34	yes	88	56.37	even	6	inner
1120.2.bv.a.529.19		88	4.3	odd	2
1120.2.bv.a.529.20		88	40.19	odd	2
1120.2.bv.a.529.25		88	20.19	odd	2
1120.2.bv.a.529.26		88	8.3	odd	2
1120.2.bv.a.849.19		88	280.219	odd	6
1120.2.bv.a.849.20		88	28.23	odd	6
1120.2.bv.a.849.25		88	56.51	odd	6
1120.2.bv.a.849.26		88	140.79	odd	6

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bf (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.02388 - 0.975536i) q^{2} +(0.299892 - 0.519428i) q^{3} +(0.0966599 + 1.99766i) q^{4} +(2.04027 + 0.915040i) q^{5} +(-0.813774 + 0.239277i) q^{6} +(-2.46748 - 0.954749i) q^{7} +(1.84982 - 2.13966i) q^{8} +(1.32013 + 2.28653i) q^{9} +O(q^{10})\)	\(q+(-1.02388 - 0.975536i) q^{2} +(0.299892 - 0.519428i) q^{3} +(0.0966599 + 1.99766i) q^{4} +(2.04027 + 0.915040i) q^{5} +(-0.813774 + 0.239277i) q^{6} +(-2.46748 - 0.954749i) q^{7} +(1.84982 - 2.13966i) q^{8} +(1.32013 + 2.28653i) q^{9} +(-1.19634 - 2.92725i) q^{10} +(1.86847 + 1.07876i) q^{11} +(1.06663 + 0.548875i) q^{12} +4.00958 q^{13} +(1.59501 + 3.38466i) q^{14} +(1.08716 - 0.785361i) q^{15} +(-3.98131 + 0.386188i) q^{16} +(0.676210 + 0.390410i) q^{17} +(0.878939 - 3.62897i) q^{18} +(1.72433 - 0.995540i) q^{19} +(-1.63073 + 4.16422i) q^{20} +(-1.23590 + 0.995357i) q^{21} +(-0.860720 - 2.92729i) q^{22} +(-1.77812 + 1.02660i) q^{23} +(-0.556653 - 1.60252i) q^{24} +(3.32540 + 3.73386i) q^{25} +(-4.10533 - 3.91149i) q^{26} +3.38294 q^{27} +(1.66876 - 5.02148i) q^{28} -7.60450i q^{29} +(-1.87927 - 0.256446i) q^{30} +(2.72272 - 4.71589i) q^{31} +(4.45313 + 3.48850i) q^{32} +(1.12068 - 0.647025i) q^{33} +(-0.311499 - 1.05940i) q^{34} +(-4.16069 - 4.20579i) q^{35} +(-4.44012 + 2.85819i) q^{36} +(-1.85881 - 3.21956i) q^{37} +(-2.73669 - 0.662828i) q^{38} +(1.20244 - 2.08269i) q^{39} +(5.73202 - 2.67283i) q^{40} -6.11966 q^{41} +(2.23642 + 0.186540i) q^{42} +4.18585 q^{43} +(-1.97440 + 3.83685i) q^{44} +(0.601154 + 5.87311i) q^{45} +(2.82206 + 0.683505i) q^{46} +(-10.2296 + 5.90608i) q^{47} +(-0.993367 + 2.18382i) q^{48} +(5.17691 + 4.71165i) q^{49} +(0.237695 - 7.06707i) q^{50} +(0.405580 - 0.234162i) q^{51} +(0.387566 + 8.00979i) q^{52} +(-3.35286 + 5.80733i) q^{53} +(-3.46372 - 3.30018i) q^{54} +(2.82508 + 3.91070i) q^{55} +(-6.60724 + 3.51346i) q^{56} -1.19422i q^{57} +(-7.41846 + 7.78610i) q^{58} +(3.47242 + 2.00480i) q^{59} +(1.67397 + 2.09586i) q^{60} +(-6.44496 + 3.72100i) q^{61} +(-7.38826 + 2.17239i) q^{62} +(-1.07433 - 6.90236i) q^{63} +(-1.15631 - 7.91599i) q^{64} +(8.18063 + 3.66893i) q^{65} +(-1.77864 - 0.430788i) q^{66} +(0.0517183 - 0.0895787i) q^{67} +(-0.714545 + 1.38858i) q^{68} +1.23147i q^{69} +(0.157153 + 8.36512i) q^{70} -12.1407 q^{71} +(7.33441 + 1.40505i) q^{72} +(9.67727 + 5.58717i) q^{73} +(-1.23759 + 5.10977i) q^{74} +(2.93673 - 0.607555i) q^{75} +(2.15543 + 3.34839i) q^{76} +(-3.58047 - 4.44575i) q^{77} +(-3.26289 + 0.959399i) q^{78} +(-0.445962 - 0.772428i) q^{79} +(-8.47633 - 2.85513i) q^{80} +(-2.94587 + 5.10240i) q^{81} +(6.26580 + 5.96995i) q^{82} -3.99487 q^{83} +(-2.10785 - 2.37270i) q^{84} +(1.02241 + 1.41530i) q^{85} +(-4.28580 - 4.08344i) q^{86} +(-3.94999 - 2.28053i) q^{87} +(5.76454 - 2.00238i) q^{88} +(-4.89384 - 8.47637i) q^{89} +(5.11392 - 6.59981i) q^{90} +(-9.89356 - 3.82814i) q^{91} +(-2.22267 - 3.45285i) q^{92} +(-1.63304 - 2.82851i) q^{93} +(16.2355 + 3.93225i) q^{94} +(4.42905 - 0.453344i) q^{95} +(3.14748 - 1.26690i) q^{96} +2.01151i q^{97} +(-0.704155 - 9.87442i) q^{98} +5.69643i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 2 q^{4} - 40 q^{9}+O(q^{10}) \) 88 * q - 2 * q^4 - 40 * q^9	\( 88 q - 2 q^{4} - 40 q^{9} + 6 q^{10} - 6 q^{14} + 4 q^{15} + 2 q^{16} - 24 q^{20} - 8 q^{24} - 2 q^{25} - 14 q^{26} + 14 q^{30} - 28 q^{31} + 24 q^{34} + 60 q^{36} - 16 q^{39} - 32 q^{40} - 16 q^{41} - 2 q^{44} - 42 q^{46} - 8 q^{49} - 12 q^{50} + 8 q^{54} - 28 q^{55} + 36 q^{56} + 10 q^{60} + 52 q^{64} - 12 q^{65} - 44 q^{66} - 48 q^{70} + 16 q^{71} - 42 q^{74} - 36 q^{76} - 4 q^{79} - 40 q^{80} - 20 q^{81} + 12 q^{84} - 24 q^{86} + 4 q^{89} - 96 q^{90} - 22 q^{94} - 34 q^{95} + 80 q^{96}+O(q^{100}) \) 88 * q - 2 * q^4 - 40 * q^9 + 6 * q^10 - 6 * q^14 + 4 * q^15 + 2 * q^16 - 24 * q^20 - 8 * q^24 - 2 * q^25 - 14 * q^26 + 14 * q^30 - 28 * q^31 + 24 * q^34 + 60 * q^36 - 16 * q^39 - 32 * q^40 - 16 * q^41 - 2 * q^44 - 42 * q^46 - 8 * q^49 - 12 * q^50 + 8 * q^54 - 28 * q^55 + 36 * q^56 + 10 * q^60 + 52 * q^64 - 12 * q^65 - 44 * q^66 - 48 * q^70 + 16 * q^71 - 42 * q^74 - 36 * q^76 - 4 * q^79 - 40 * q^80 - 20 * q^81 + 12 * q^84 - 24 * q^86 + 4 * q^89 - 96 * q^90 - 22 * q^94 - 34 * q^95 + 80 * q^96

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