LMFDB - Embedded newform 260.2.p.d.103.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(103,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 3, 2]))

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

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

chi := DirichletCharacter("260.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.p (of order $4$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$32$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			103.11
Character	$\chi$	$=$	260.103
Dual form			260.2.p.d.207.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.693735 - 1.23237i) q^{2} +(0.828304 - 0.828304i) q^{3} +(-1.03746 + 1.70987i) q^{4} +(-1.31937 + 1.80534i) q^{5} +(-1.59540 - 0.446152i) q^{6} +(-2.94084 + 2.94084i) q^{7} +(2.82692 + 0.0923349i) q^{8} +1.62783i q^{9} +O(q^{10})$	\(q+(-0.693735 - 1.23237i) q^{2} +(0.828304 - 0.828304i) q^{3} +(-1.03746 + 1.70987i) q^{4} +(-1.31937 + 1.80534i) q^{5} +(-1.59540 - 0.446152i) q^{6} +(-2.94084 + 2.94084i) q^{7} +(2.82692 + 0.0923349i) q^{8} +1.62783i q^{9} +(3.14014 + 0.373519i) q^{10} +3.40117 q^{11} +(0.556962 + 2.27563i) q^{12} +(-1.99125 + 3.00581i) q^{13} +(5.66436 + 1.58403i) q^{14} +(0.402533 + 2.58821i) q^{15} +(-1.84734 - 3.54786i) q^{16} +(-2.96509 + 2.96509i) q^{17} +(2.00608 - 1.12928i) q^{18} -7.33328i q^{19} +(-1.71811 - 4.12893i) q^{20} +4.87182i q^{21} +(-2.35951 - 4.19149i) q^{22} +(-1.65342 + 1.65342i) q^{23} +(2.41803 - 2.26507i) q^{24} +(-1.51853 - 4.76383i) q^{25} +(5.08567 + 0.368715i) q^{26} +(3.83325 + 3.83325i) q^{27} +(-1.97746 - 8.07948i) q^{28} +1.98422i q^{29} +(2.91038 - 2.29160i) q^{30} +4.43526 q^{31} +(-3.09070 + 4.73788i) q^{32} +(2.81720 - 2.81720i) q^{33} +(5.71107 + 1.59709i) q^{34} +(-1.42917 - 9.18928i) q^{35} +(-2.78338 - 1.68881i) q^{36} +(1.88762 + 1.88762i) q^{37} +(-9.03730 + 5.08735i) q^{38} +(0.840366 + 4.13909i) q^{39} +(-3.89645 + 4.98174i) q^{40} +7.55280i q^{41} +(6.00387 - 3.37975i) q^{42} +(-0.548655 + 0.548655i) q^{43} +(-3.52858 + 5.81557i) q^{44} +(-2.93878 - 2.14770i) q^{45} +(3.18465 + 0.890583i) q^{46} +(5.58516 - 5.58516i) q^{47} +(-4.46887 - 1.40855i) q^{48} -10.2971i q^{49} +(-4.81734 + 5.17622i) q^{50} +4.91199i q^{51} +(-3.07372 - 6.52321i) q^{52} +(-0.437273 - 0.437273i) q^{53} +(2.06471 - 7.38323i) q^{54} +(-4.48740 + 6.14027i) q^{55} +(-8.58506 + 8.04197i) q^{56} +(-6.07418 - 6.07418i) q^{57} +(2.44529 - 1.37652i) q^{58} +6.14051i q^{59} +(-4.84313 - 1.99689i) q^{60} +8.12327 q^{61} +(-3.07690 - 5.46588i) q^{62} +(-4.78717 - 4.78717i) q^{63} +(7.98295 + 0.522046i) q^{64} +(-2.79933 - 7.56067i) q^{65} +(-5.42622 - 1.51744i) q^{66} +(-3.78718 + 3.78718i) q^{67} +(-1.99376 - 8.14610i) q^{68} +2.73906i q^{69} +(-10.3331 + 8.13619i) q^{70} -8.90033 q^{71} +(-0.150305 + 4.60173i) q^{72} +(4.20522 - 4.20522i) q^{73} +(1.01673 - 3.63575i) q^{74} +(-5.20370 - 2.68810i) q^{75} +(12.5390 + 7.60800i) q^{76} +(-10.0023 + 10.0023i) q^{77} +(4.51789 - 3.90707i) q^{78} -13.2369 q^{79} +(8.84244 + 1.34585i) q^{80} +1.46671 q^{81} +(9.30783 - 5.23964i) q^{82} +(0.688014 + 0.688014i) q^{83} +(-8.33020 - 5.05433i) q^{84} +(-1.44095 - 9.26505i) q^{85} +(1.05677 + 0.295523i) q^{86} +(1.64354 + 1.64354i) q^{87} +(9.61483 + 0.314046i) q^{88} +17.5962 q^{89} +(-0.608024 + 5.11160i) q^{90} +(-2.98367 - 14.6956i) q^{91} +(-1.11178 - 4.54249i) q^{92} +(3.67375 - 3.67375i) q^{93} +(-10.7576 - 3.00835i) q^{94} +(13.2391 + 9.67530i) q^{95} +(1.36437 + 6.48445i) q^{96} +(-3.63754 - 3.63754i) q^{97} +(-12.6898 + 7.14344i) q^{98} +5.53651i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q+O(q^{10}) $ 64 * q	$ 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) $ 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.693735	−	1.23237i	−0.490545	−	0.871416i
$2$	−0.693735	−	1.23237i	−0.490545	−	0.871416i
$3$	0.828304	−	0.828304i	0.478221	−	0.478221i	−0.426341	−	0.904562i	$-0.640198\pi$
$3$	0.828304	−	0.828304i	0.478221	−	0.478221i	0.904562	+	0.426341i	$0.140198\pi$
$4$	−1.03746	+	1.70987i	−0.518731	+	0.854937i
$5$	−1.31937	+	1.80534i	−0.590040	+	0.807374i
$5$	−1.31937	+	1.80534i	−0.590040	+	0.807374i
$6$	−1.59540	−	0.446152i	−0.651319	−	0.182141i
$7$	−2.94084	+	2.94084i	−1.11153	+	1.11153i	−0.118589	+	0.992943i	$0.537837\pi$
$7$	−2.94084	+	2.94084i	−1.11153	+	1.11153i	−0.992943	+	0.118589i	$0.962163\pi$
$8$	2.82692	+	0.0923349i	0.999467	+	0.0326453i
$9$			1.62783i			0.542609i
$10$	3.14014	+	0.373519i	0.993000	+	0.118117i
$11$	3.40117			1.02549			0.512745	−	0.858541i	$-0.328629\pi$
$11$	3.40117			1.02549			0.512745	+	0.858541i	$0.328629\pi$
$12$	0.556962	+	2.27563i	0.160781	+	0.656918i
$13$	−1.99125	+	3.00581i	−0.552274	+	0.833663i
$13$	−1.99125	+	3.00581i	−0.552274	+	0.833663i
$14$	5.66436	+	1.58403i	1.51386	+	0.423350i
$15$	0.402533	+	2.58821i	0.103934	+	0.668273i
$16$	−1.84734	−	3.54786i	−0.461836	−	0.886965i
$17$	−2.96509	+	2.96509i	−0.719140	+	0.719140i	−0.968429	−	0.249289i	$-0.919803\pi$
$17$	−2.96509	+	2.96509i	−0.719140	+	0.719140i	0.249289	+	0.968429i	$0.419803\pi$
$18$	2.00608	−	1.12928i	0.472838	−	0.266174i
$19$		−	7.33328i		−	1.68237i	−0.540748	−	0.841184i	$-0.681859\pi$
$19$		−	7.33328i		−	1.68237i	0.540748	−	0.841184i	$-0.318141\pi$
$20$	−1.71811	−	4.12893i	−0.384182	−	0.923257i
$21$			4.87182i			1.06312i
$22$	−2.35951	−	4.19149i	−0.503049	−	0.893629i
$23$	−1.65342	+	1.65342i	−0.344761	+	0.344761i	−0.858154	−	0.513393i	$-0.828388\pi$
$23$	−1.65342	+	1.65342i	−0.344761	+	0.344761i	0.513393	+	0.858154i	$0.328388\pi$
$24$	2.41803	−	2.26507i	0.493578	−	0.462355i
$25$	−1.51853	−	4.76383i	−0.303705	−	0.952766i
$26$	5.08567	+	0.368715i	0.997382	+	0.0723109i
$27$	3.83325	+	3.83325i	0.737708	+	0.737708i
$28$	−1.97746	−	8.07948i	−0.373704	−	1.52688i
$29$			1.98422i			0.368460i	0.982883	+	0.184230i	$0.0589792\pi$
$29$			1.98422i			0.368460i	−0.982883	+	0.184230i	$0.941021\pi$
$30$	2.91038	−	2.29160i	0.531360	−	0.418388i
$31$	4.43526			0.796597			0.398299	−	0.917256i	$-0.369601\pi$
$31$	4.43526			0.796597			0.398299	+	0.917256i	$0.369601\pi$
$32$	−3.09070	+	4.73788i	−0.546364	+	0.837548i
$33$	2.81720	−	2.81720i	0.490412	−	0.490412i
$34$	5.71107	+	1.59709i	0.979440	+	0.273899i
$35$	−1.42917	−	9.18928i	−0.241573	−	1.55327i
$36$	−2.78338	−	1.68881i	−0.463896	−	0.281468i
$37$	1.88762	+	1.88762i	0.310322	+	0.310322i	0.845034	−	0.534712i	$-0.179580\pi$
$37$	1.88762	+	1.88762i	0.310322	+	0.310322i	−0.534712	+	0.845034i	$0.679580\pi$
$38$	−9.03730	+	5.08735i	−1.46604	+	0.825278i
$39$	0.840366	+	4.13909i	0.134566	+	0.662785i
$40$	−3.89645	+	4.98174i	−0.616083	+	0.787682i
$41$			7.55280i			1.17955i	0.807568	+	0.589774i	$0.200783\pi$
$41$			7.55280i			1.17955i	−0.807568	+	0.589774i	$0.799217\pi$
$42$	6.00387	−	3.37975i	0.926417	−	0.521507i
$43$	−0.548655	+	0.548655i	−0.0836691	+	0.0836691i	−0.747703	−	0.664034i	$-0.768843\pi$
$43$	−0.548655	+	0.548655i	−0.0836691	+	0.0836691i	0.664034	+	0.747703i	$0.268843\pi$
$44$	−3.52858	+	5.81557i	−0.531954	+	0.876730i
$45$	−2.93878	−	2.14770i	−0.438088	−	0.320161i
$46$	3.18465	+	0.890583i	0.469551	+	0.131309i
$47$	5.58516	−	5.58516i	0.814679	−	0.814679i	−0.170652	−	0.985331i	$-0.554587\pi$
$47$	5.58516	−	5.58516i	0.814679	−	0.814679i	0.985331	+	0.170652i	$0.0545874\pi$
$48$	−4.46887	−	1.40855i	−0.645026	−	0.203306i
$49$		−	10.2971i		−	1.47101i
$50$	−4.81734	+	5.17622i	−0.681274	+	0.732028i
$51$			4.91199i			0.687816i
$52$	−3.07372	−	6.52321i	−0.426248	−	0.904606i
$53$	−0.437273	−	0.437273i	−0.0600640	−	0.0600640i	0.676437	−	0.736501i	$-0.263523\pi$
$53$	−0.437273	−	0.437273i	−0.0600640	−	0.0600640i	−0.736501	+	0.676437i	$0.763523\pi$
$54$	2.06471	−	7.38323i	0.280972	−	1.00473i
$55$	−4.48740	+	6.14027i	−0.605081	+	0.827954i
$56$	−8.58506	+	8.04197i	−1.14723	+	1.07465i
$57$	−6.07418	−	6.07418i	−0.804545	−	0.804545i
$58$	2.44529	−	1.37652i	0.321082	−	0.180746i
$59$			6.14051i			0.799426i	0.916640	+	0.399713i	$0.130890\pi$
$59$			6.14051i			0.799426i	−0.916640	+	0.399713i	$0.869110\pi$
$60$	−4.84313	−	1.99689i	−0.625246	−	0.257797i
$61$	8.12327			1.04008			0.520039	−	0.854142i	$-0.325917\pi$
$61$	8.12327			1.04008			0.520039	+	0.854142i	$0.325917\pi$
$62$	−3.07690	−	5.46588i	−0.390767	−	0.694167i
$63$	−4.78717	−	4.78717i	−0.603127	−	0.603127i
$64$	7.98295	+	0.522046i	0.997869	+	0.0652558i
$65$	−2.79933	−	7.56067i	−0.347214	−	0.937786i
$66$	−5.42622	−	1.51744i	−0.667921	−	0.186783i
$67$	−3.78718	+	3.78718i	−0.462678	+	0.462678i	−0.899532	−	0.436854i	$-0.856092\pi$
$67$	−3.78718	+	3.78718i	−0.462678	+	0.462678i	0.436854	+	0.899532i	$0.356092\pi$
$68$	−1.99376	−	8.14610i	−0.241779	−	0.987860i
$69$			2.73906i			0.329744i
$70$	−10.3331	+	8.13619i	−1.23504	+	0.972460i
$71$	−8.90033			−1.05628			−0.528138	−	0.849159i	$-0.677109\pi$
$71$	−8.90033			−1.05628			−0.528138	+	0.849159i	$0.677109\pi$
$72$	−0.150305	+	4.60173i	−0.0177136	+	0.542319i
$73$	4.20522	−	4.20522i	0.492184	−	0.492184i	−0.416810	−	0.908994i	$-0.636852\pi$
$73$	4.20522	−	4.20522i	0.492184	−	0.492184i	0.908994	+	0.416810i	$0.136852\pi$
$74$	1.01673	−	3.63575i	0.118193	−	0.422647i
$75$	−5.20370	−	2.68810i	−0.600871	−	0.310395i
$76$	12.5390	+	7.60800i	1.43832	+	0.872697i
$77$	−10.0023	+	10.0023i	−1.13987	+	1.13987i
$78$	4.51789	−	3.90707i	0.511550	−	0.442389i
$79$	−13.2369			−1.48927			−0.744633	−	0.667474i	$-0.767376\pi$
$79$	−13.2369			−1.48927			−0.744633	+	0.667474i	$0.767376\pi$
$80$	8.84244	+	1.34585i	0.988614	+	0.150471i
$81$	1.46671			0.162967
$82$	9.30783	−	5.23964i	1.02788	−	0.578622i
$83$	0.688014	+	0.688014i	0.0755194	+	0.0755194i	0.743858	−	0.668338i	$-0.232994\pi$
$83$	0.688014	+	0.688014i	0.0755194	+	0.0755194i	−0.668338	+	0.743858i	$0.732994\pi$
$84$	−8.33020	−	5.05433i	−0.908899	−	0.551472i
$85$	−1.44095	−	9.26505i	−0.156293	−	1.00494i
$86$	1.05677	+	0.295523i	0.113954	+	0.0318671i
$87$	1.64354	+	1.64354i	0.176206	+	0.176206i
$88$	9.61483	+	0.314046i	1.02494	+	0.0334775i
$89$	17.5962			1.86520			0.932599	−	0.360915i	$-0.117536\pi$
$89$	17.5962			1.86520			0.932599	+	0.360915i	$0.117536\pi$
$90$	−0.608024	+	5.11160i	−0.0640914	+	0.538810i
$91$	−2.98367	−	14.6956i	−0.312773	−	1.54051i
$92$	−1.11178	−	4.54249i	−0.115911	−	0.473587i
$93$	3.67375	−	3.67375i	0.380950	−	0.380950i
$94$	−10.7576	−	3.00835i	−1.10956	−	0.310288i
$95$	13.2391	+	9.67530i	1.35830	+	0.992665i
$96$	1.36437	+	6.48445i	0.139250	+	0.661816i
$97$	−3.63754	−	3.63754i	−0.369336	−	0.369336i	0.497899	−	0.867235i	$-0.334105\pi$
$97$	−3.63754	−	3.63754i	−0.369336	−	0.369336i	−0.867235	+	0.497899i	$0.834105\pi$
$98$	−12.6898	+	7.14344i	−1.28186	+	0.721596i
$99$			5.53651i			0.556440i
$100$	9.72097	+	2.34581i	0.972097	+	0.234581i
$101$	2.16914			0.215838			0.107919	−	0.994160i	$-0.465581\pi$
$101$	2.16914			0.215838			0.107919	+	0.994160i	$0.465581\pi$
$102$	6.05338	−	3.40762i	0.599374	−	0.337405i
$103$	13.3191	−	13.3191i	1.31237	−	1.31237i	0.392713	−	0.919661i	$-0.371536\pi$
$103$	13.3191	−	13.3191i	1.31237	−	1.31237i	0.919661	−	0.392713i	$-0.128464\pi$
$104$	−5.90665	+	8.31333i	−0.579195	+	0.815189i
$105$	−8.79530	−	6.42773i	−0.858333	−	0.627282i
$106$	−0.235529	+	0.842233i	−0.0228766	+	0.0818049i
$107$	4.28539	+	4.28539i	0.414284	+	0.414284i	0.883228	−	0.468944i	$-0.155365\pi$
$107$	4.28539	+	4.28539i	0.414284	+	0.414284i	−0.468944	+	0.883228i	$0.655365\pi$
$108$	−10.5312	+	2.57752i	−1.01337	+	0.248022i
$109$	−6.58437			−0.630668			−0.315334	−	0.948981i	$-0.602117\pi$
$109$	−6.58437			−0.630668			−0.315334	+	0.948981i	$0.602117\pi$
$110$	10.6801	+	1.27040i	1.01831	+	0.121128i
$111$	3.12704			0.296806
$112$	15.8664	+	5.00095i	1.49924	+	0.472545i
$113$	8.42371	+	8.42371i	0.792436	+	0.792436i	0.981890	−	0.189453i	$-0.0606716\pi$
$113$	8.42371	+	8.42371i	0.792436	+	0.792436i	−0.189453	+	0.981890i	$0.560672\pi$
$114$	−3.27175	+	11.6995i	−0.306428	+	1.09576i
$115$	−0.803515	−	5.16645i	−0.0749282	−	0.481774i
$116$	−3.39277	−	2.05855i	−0.315011	−	0.191132i
$117$	−4.89294	−	3.24141i	−0.452353	−	0.299668i
$118$	7.56737	−	4.25989i	0.696633	−	0.392155i
$119$		−	17.4397i		−	1.59869i
$120$	0.898947	+	7.35383i	0.0820623	+	0.671310i
$121$	0.567942			0.0516310
$122$	−5.63540	−	10.0109i	−0.510205	−	0.906341i
$123$	6.25601	+	6.25601i	0.564085	+	0.564085i
$124$	−4.60142	+	7.58375i	−0.413220	+	0.681041i
$125$	10.6038	+	3.54379i	0.948437	+	0.316967i
$126$	−2.57853	+	9.22059i	−0.229713	+	0.821435i
$127$	−3.55390	−	3.55390i	−0.315357	−	0.315357i	0.531624	−	0.846981i	$-0.321582\pi$
$127$	−3.55390	−	3.55390i	−0.315357	−	0.315357i	−0.846981	+	0.531624i	$0.821582\pi$
$128$	−4.89470	−	10.2001i	−0.432635	−	0.901569i
$129$			0.908906i			0.0800247i
$130$	−7.37554	+	8.69491i	−0.646877	+	0.762594i
$131$			10.9417i			0.955984i	0.878364	+	0.477992i	$0.158635\pi$
$131$			10.9417i			0.955984i	−0.878364	+	0.477992i	$0.841365\pi$
$132$	1.89432	+	7.73980i	0.164879	+	0.673663i
$133$	21.5660	+	21.5660i	1.87001	+	1.87001i
$134$	7.29450	+	2.03990i	0.630149	+	0.176220i
$135$	−11.9778	+	1.86285i	−1.03088	+	0.160329i
$136$	−8.65585	+	8.10829i	−0.742233	+	0.695280i
$137$	−0.789026	−	0.789026i	−0.0674110	−	0.0674110i	0.672597	−	0.740009i	$-0.265179\pi$
$137$	−0.789026	−	0.789026i	−0.0674110	−	0.0674110i	−0.740009	+	0.672597i	$0.765179\pi$
$138$	3.37553	−	1.90018i	0.287344	−	0.161754i
$139$	14.6017			1.23850			0.619251	−	0.785193i	$-0.287436\pi$
$139$	14.6017			1.23850			0.619251	+	0.785193i	$0.287436\pi$
$140$	17.1952	+	7.08983i	1.45326	+	0.599200i
$141$		−	9.25242i		−	0.779194i
$142$	6.17448	+	10.9685i	0.518150	+	0.920455i
$143$	−6.77258	+	10.2233i	−0.566352	+	0.854913i
$144$	5.77530	−	3.00715i	0.481275	−	0.250596i
$145$	−3.58220	−	2.61792i	−0.297485	−	0.217406i
$146$	−8.09970	−	2.26507i	−0.670336	−	0.187459i
$147$	−8.52910	−	8.52910i	−0.703468	−	0.703468i
$148$	−5.18592	+	1.26926i	−0.426280	+	0.104332i
$149$	13.1526			1.07751			0.538753	−	0.842464i	$-0.318896\pi$
$149$	13.1526			1.07751			0.538753	+	0.842464i	$0.318896\pi$
$150$	0.297264	+	8.27770i	0.0242715	+	0.675872i
$151$	−1.17393			−0.0955332			−0.0477666	−	0.998859i	$-0.515210\pi$
$151$	−1.17393			−0.0955332			−0.0477666	+	0.998859i	$0.515210\pi$
$152$	0.677117	−	20.7306i	0.0549214	−	1.68147i
$153$	−4.82665	−	4.82665i	−0.390211	−	0.390211i
$154$	19.2654	+	5.38756i	1.55245	+	0.434142i
$155$	−5.85175	+	8.00717i	−0.470024	+	0.643152i
$156$	−7.94917	−	2.85723i	−0.636443	−	0.228761i
$157$	−0.498889	+	0.498889i	−0.0398157	+	0.0398157i	−0.726734	−	0.686919i	$-0.758963\pi$
$157$	−0.498889	+	0.498889i	−0.0398157	+	0.0398157i	0.686919	+	0.726734i	$0.258963\pi$
$158$	9.18290	+	16.3127i	0.730552	+	1.29777i
$159$	−0.724390			−0.0574478
$160$	−4.47572	−	11.8308i	−0.353837	−	0.935307i
$161$		−	9.72485i		−	0.766426i
$162$	−1.01751	−	1.80752i	−0.0799429	−	0.142012i
$163$	−6.52976	−	6.52976i	−0.511450	−	0.511450i	0.403520	−	0.914971i	$-0.367786\pi$
$163$	−6.52976	−	6.52976i	−0.511450	−	0.511450i	−0.914971	+	0.403520i	$0.867786\pi$
$164$	−12.9143	−	7.83574i	−1.00844	−	0.611869i
$165$	1.36908	+	8.80294i	0.106583	+	0.685308i
$166$	0.370587	−	1.32519i	0.0287631	−	0.102854i
$167$	5.63541	−	5.63541i	0.436081	−	0.436081i	−0.454610	−	0.890691i	$-0.650221\pi$
$167$	5.63541	−	5.63541i	0.436081	−	0.436081i	0.890691	+	0.454610i	$0.150221\pi$
$168$	−0.449838	+	13.7722i	−0.0347058	+	1.06255i
$169$	−5.06984	−	11.9707i	−0.389987	−	0.920820i
$170$	−10.4183	+	8.20328i	−0.799048	+	0.629163i
$171$	11.9373			0.912868
$172$	−0.368922	−	1.50734i	−0.0281301	−	0.114934i
$173$	2.77038	+	2.77038i	0.210628	+	0.210628i	0.804534	−	0.593906i	$-0.202415\pi$
$173$	2.77038	+	2.77038i	0.210628	+	0.210628i	−0.593906	+	0.804534i	$0.702415\pi$
$174$	0.885263	−	3.16562i	0.0671116	−	0.239985i
$175$	18.4754	+	9.54392i	1.39661	+	0.721452i
$176$	−6.28313	−	12.0669i	−0.473608	−	0.909575i
$177$	5.08621	+	5.08621i	0.382303	+	0.382303i
$178$	−12.2071	−	21.6850i	−0.914963	−	1.62536i
$179$	9.15302			0.684129			0.342064	−	0.939677i	$-0.388874\pi$
$179$	9.15302			0.684129			0.342064	+	0.939677i	$0.388874\pi$
$180$	6.72118	−	2.79679i	0.500967	−	0.208460i
$181$	11.6077			0.862792			0.431396	−	0.902163i	$-0.358021\pi$
$181$	11.6077			0.862792			0.431396	+	0.902163i	$0.358021\pi$
$182$	−16.0405	+	13.8718i	−1.18900	+	1.02825i
$183$	6.72854	−	6.72854i	0.497388	−	0.497388i
$184$	−4.82674	+	4.52140i	−0.355832	+	0.333322i
$185$	−5.89826	+	0.917331i	−0.433649	+	0.0674435i
$186$	−7.07602	−	1.97880i	−0.518839	−	0.145093i
$187$	−10.0848	+	10.0848i	−0.737471	+	0.737471i
$188$	3.75553	+	15.3443i	0.273900	+	1.11910i
$189$	−22.5459			−1.63997
$190$	2.73912	−	23.0275i	0.198717	−	1.67059i
$191$		−	12.7491i		−	0.922496i	−0.887271	−	0.461248i	$-0.847402\pi$
$191$		−	12.7491i		−	0.922496i	0.887271	−	0.461248i	$-0.152598\pi$
$192$	7.04472	−	6.17989i	0.508409	−	0.445995i
$193$	−8.64101	+	8.64101i	−0.621994	+	0.621994i	−0.946041	−	0.324047i	$-0.894956\pi$
$193$	−8.64101	+	8.64101i	−0.621994	+	0.621994i	0.324047	+	0.946041i	$0.394956\pi$
$194$	−1.95930	+	7.00627i	−0.140669	+	0.503021i
$195$	−8.58123	−	3.94384i	−0.614514	−	0.282424i
$196$	17.6067	+	10.6828i	1.25762	+	0.763058i
$197$	6.24790	+	6.24790i	0.445145	+	0.445145i	0.893737	−	0.448592i	$-0.148074\pi$
$197$	6.24790	+	6.24790i	0.445145	+	0.445145i	−0.448592	+	0.893737i	$0.648074\pi$
$198$	6.82302	−	3.84087i	0.484891	−	0.272959i
$199$	−6.11372			−0.433390			−0.216695	−	0.976239i	$-0.569528\pi$
$199$	−6.11372			−0.433390			−0.216695	+	0.976239i	$0.569528\pi$
$200$	−3.85288	−	13.6072i	−0.272440	−	0.962173i
$201$			6.27387i			0.442525i
$202$	−1.50481	−	2.67318i	−0.105878	−	0.188084i
$203$	−5.83527	−	5.83527i	−0.409556	−	0.409556i
$204$	−8.39889	−	5.09600i	−0.588040	−	0.356792i
$205$	−13.6354	−	9.96493i	−0.952337	−	0.695981i
$206$	−25.6540	−	7.17413i	−1.78740	−	0.499845i
$207$	−2.69147	−	2.69147i	−0.187070	−	0.187070i
$208$	14.3427	+	1.51191i	0.994490	+	0.104832i
$209$		−	24.9417i		−	1.72525i
$210$	−1.81972	+	15.2982i	−0.125572	+	1.05568i
$211$		−	7.61186i		−	0.524022i	−0.965065	−	0.262011i	$-0.915614\pi$
$211$		−	7.61186i		−	0.524022i	0.965065	−	0.262011i	$-0.0843857\pi$
$212$	1.20134	−	0.294028i	0.0825081	−	0.0201939i
$213$	−7.37218	+	7.37218i	−0.505133	+	0.505133i
$214$	2.30825	−	8.25411i	0.157789	−	0.564239i
$215$	−0.266631	−	1.71439i	−0.0181841	−	0.116920i
$216$	10.4823	+	11.1902i	0.713233	+	0.761398i
$217$	−13.0434	+	13.0434i	−0.885444	+	0.885444i
$218$	4.56781	+	8.11437i	0.309371	+	0.549574i
$219$		−	6.96641i		−	0.470746i
$220$	−5.84359	−	14.0432i	−0.393975	−	0.946792i
$221$	−3.00827	−	14.8167i	−0.202358	−	0.996682i
$222$	−2.16934	−	3.85367i	−0.145597	−	0.258641i
$223$	7.50725	+	7.50725i	0.502723	+	0.502723i	0.912283	−	0.409560i	$-0.134318\pi$
$223$	7.50725	+	7.50725i	0.502723	+	0.502723i	−0.409560	+	0.912283i	$0.634318\pi$
$224$	−4.84409	−	23.0226i	−0.323660	−	1.53826i
$225$	7.75468	−	2.47190i	0.516979	−	0.164793i
$226$	4.53729	−	16.2249i	0.301816	−	1.07927i
$227$	−11.9566	+	11.9566i	−0.793590	+	0.793590i	−0.982076	−	0.188486i	$-0.939642\pi$
$227$	−11.9566	+	11.9566i	−0.793590	+	0.793590i	0.188486	+	0.982076i	$0.439642\pi$
$228$	16.6878	−	4.08435i	1.10518	−	0.270493i
$229$	−1.91943			−0.126839			−0.0634197	−	0.997987i	$-0.520201\pi$
$229$	−1.91943			−0.126839			−0.0634197	+	0.997987i	$0.520201\pi$
$230$	−5.80954	+	4.57437i	−0.383070	+	0.301625i
$231$			16.5699i			1.09022i
$232$	−0.183213	+	5.60923i	−0.0120285	+	0.368264i
$233$	−18.7540	−	18.7540i	−1.22862	−	1.22862i	−0.964487	−	0.264131i	$-0.914915\pi$
$233$	−18.7540	−	18.7540i	−1.22862	−	1.22862i	−0.264131	−	0.964487i	$-0.585085\pi$
$234$	−0.600203	+	8.27859i	−0.0392365	+	0.541188i
$235$	2.71424	+	17.4520i	0.177057	+	1.13844i
$236$	−10.4995	−	6.37055i	−0.683459	−	0.414687i
$237$	−10.9642	+	10.9642i	−0.712199	+	0.712199i
$238$	−21.4921	+	12.0985i	−1.39313	+	0.784232i
$239$			18.0653i			1.16854i	0.811558	+	0.584272i	$0.198620\pi$
$239$			18.0653i			1.16854i	−0.811558	+	0.584272i	$0.801380\pi$
$240$	8.43900	−	6.20945i	0.544735	−	0.400818i
$241$			18.1104i			1.16659i	0.812259	+	0.583297i	$0.198238\pi$
$241$			18.1104i			1.16659i	−0.812259	+	0.583297i	$0.801762\pi$
$242$	−0.394001	−	0.699913i	−0.0253274	−	0.0449921i
$243$	−10.2849	+	10.2849i	−0.659774	+	0.659774i
$244$	−8.42759	+	13.8898i	−0.539521	+	0.889202i
$245$	18.5897	+	13.5856i	1.18765	+	0.867954i
$246$	3.36969	−	12.0497i	0.214844	−	0.768262i
$247$	22.0425	+	14.6024i	1.40253	+	0.929128i
$248$	12.5381	+	0.409530i	0.796172	+	0.0260052i
$249$	1.13977			0.0722300
$250$	−2.98900	−	15.5263i	−0.189041	−	0.981969i
$251$		−	6.46202i		−	0.407879i	−0.978983	−	0.203940i	$-0.934625\pi$
$251$		−	6.46202i		−	0.407879i	0.978983	−	0.203940i	$-0.0653746\pi$
$252$	13.1520	−	3.21895i	0.828497	−	0.202775i
$253$	−5.62354	+	5.62354i	−0.353549	+	0.353549i
$254$	−1.91424	+	6.84517i	−0.120110	+	0.429504i
$255$	−8.86782	−	6.48073i	−0.555325	−	0.405839i
$256$	−9.17464	+	13.1082i	−0.573415	+	0.819265i
$257$	10.4843	−	10.4843i	0.653990	−	0.653990i	−0.299961	−	0.953951i	$-0.596974\pi$
$257$	10.4843	−	10.4843i	0.653990	−	0.653990i	0.953951	+	0.299961i	$0.0969738\pi$
$258$	1.12011	−	0.630540i	0.0697348	−	0.0392557i
$259$	−11.1024			−0.689867
$260$	15.8320	+	3.05741i	0.981859	+	0.189613i
$261$	−3.22996			−0.199930
$262$	13.4842	−	7.59067i	0.833059	−	0.468953i
$263$	6.53406	−	6.53406i	0.402907	−	0.402907i	−0.476349	−	0.879256i	$-0.658040\pi$
$263$	6.53406	−	6.53406i	0.402907	−	0.402907i	0.879256	+	0.476349i	$0.158040\pi$
$264$	8.22412	−	7.70387i	0.506160	−	0.474141i
$265$	1.36635	−	0.212503i	0.0839343	−	0.0130539i
$266$	11.6161	−	41.5383i	0.712231	−	2.54688i
$267$	14.5750	−	14.5750i	0.891977	−	0.891977i
$268$	−2.54655	−	10.4047i	−0.155555	−	0.635566i
$269$			29.0536i			1.77143i	0.464230	+	0.885715i	$0.346331\pi$
$269$			29.0536i			1.77143i	−0.464230	+	0.885715i	$0.653669\pi$
$270$	10.6051	+	13.4687i	0.645408	+	0.819680i
$271$	−6.41043			−0.389406			−0.194703	−	0.980862i	$-0.562374\pi$
$271$	−6.41043			−0.389406			−0.194703	+	0.980862i	$0.562374\pi$
$272$	15.9973	+	5.04219i	0.969977	+	0.305727i
$273$	−14.6438	−	9.70101i	−0.886281	−	0.587132i
$274$	−0.424995	+	1.51975i	−0.0256749	+	0.0918112i
$275$	−5.16476	−	16.2026i	−0.311447	−	0.977053i
$276$	−4.68345	−	2.84167i	−0.281911	−	0.171049i
$277$	4.16505	−	4.16505i	0.250253	−	0.250253i	−0.570821	−	0.821074i	$-0.693375\pi$
$277$	4.16505	−	4.16505i	0.250253	−	0.250253i	0.821074	+	0.570821i	$0.193375\pi$
$278$	−10.1297	−	17.9947i	−0.607541	−	1.07925i
$279$			7.21984i			0.432240i
$280$	−3.19165	−	26.1093i	−0.190738	−	1.56033i
$281$			2.13811i			0.127549i	0.997964	+	0.0637745i	$0.0203139\pi$
$281$			2.13811i			0.127549i	−0.997964	+	0.0637745i	$0.979686\pi$
$282$	−11.4024	+	6.41873i	−0.679002	+	0.382230i
$283$	−14.5899	+	14.5899i	−0.867280	+	0.867280i	−0.992171	−	0.124891i	$-0.960142\pi$
$283$	−14.5899	+	14.5899i	−0.867280	+	0.867280i	0.124891	+	0.992171i	$0.460142\pi$
$284$	9.23376	−	15.2185i	0.547923	−	0.903049i
$285$	18.9801	−	2.95189i	1.12428	−	0.174855i
$286$	17.2972	+	1.25406i	1.02281	+	0.0741542i
$287$	−22.2116	−	22.2116i	−1.31111	−	1.31111i
$288$	−7.71245	−	5.03113i	−0.454460	−	0.296462i
$289$		−	0.583505i		−	0.0343238i
$290$	−0.741144	+	6.23073i	−0.0435215	+	0.365881i
$291$	−6.02597			−0.353249
$292$	2.82765	+	11.5532i	0.165475	+	0.676098i
$293$	−11.2013	+	11.2013i	−0.654388	+	0.654388i	−0.954046	−	0.299659i	$-0.903127\pi$
$293$	−11.2013	+	11.2013i	−0.654388	+	0.654388i	0.299659	+	0.954046i	$0.403127\pi$
$294$	−4.59405	+	16.4279i	−0.267930	+	0.958096i
$295$	−11.0857	−	8.10160i	−0.645436	−	0.471694i
$296$	5.16185	+	5.51044i	0.300026	+	0.320288i
$297$	13.0375	+	13.0375i	0.756513	+	0.756513i
$298$	−9.12445	−	16.2089i	−0.528565	−	0.938956i
$299$	−1.67749	−	8.26222i	−0.0970120	−	0.477817i
$300$	9.99495	−	6.10887i	0.577059	−	0.352696i
$301$		−	3.22701i		−	0.186002i
$302$	0.814398	+	1.44672i	0.0468633	+	0.0832491i
$303$	1.79671	−	1.79671i	0.103218	−	0.103218i
$304$	−26.0174	+	13.5471i	−1.49220	+	0.776978i
$305$	−10.7176	+	14.6653i	−0.613688	+	0.839732i
$306$	−2.59979	+	9.29662i	−0.148620	+	0.531453i
$307$	17.3623	−	17.3623i	0.990919	−	0.990919i	−0.00903979	−	0.999959i	$-0.502877\pi$
$307$	17.3623	−	17.3623i	0.990919	−	0.990919i	0.999959	+	0.00903979i	$0.00287749\pi$
$308$	−6.72566	−	27.4797i	−0.383230	−	1.56580i
$309$		−	22.0646i		−	1.25521i
$310$	13.9274	+	1.65666i	0.791021	+	0.0940918i
$311$		−	4.44104i		−	0.251828i	−0.992041	−	0.125914i	$-0.959814\pi$
$311$		−	4.44104i		−	0.251828i	0.992041	−	0.125914i	$-0.0401863\pi$
$312$	1.99347	+	11.7785i	0.112858	+	0.666824i
$313$	−0.961022	−	0.961022i	−0.0543202	−	0.0543202i	0.679425	−	0.733745i	$-0.262229\pi$
$313$	−0.961022	−	0.961022i	−0.0543202	−	0.0543202i	−0.733745	+	0.679425i	$0.762229\pi$
$314$	0.960912	+	0.268718i	0.0542274	+	0.0151646i
$315$	14.9585	−	2.32644i	0.842818	−	0.131080i
$316$	13.7328	−	22.6334i	0.772529	−	1.27323i
$317$	7.81668	+	7.81668i	0.439028	+	0.439028i	0.891685	−	0.452657i	$-0.149524\pi$
$317$	7.81668	+	7.81668i	0.439028	+	0.439028i	−0.452657	+	0.891685i	$0.649524\pi$
$318$	0.502535	+	0.892715i	0.0281807	+	0.0500609i
$319$			6.74867i			0.377853i
$320$	−11.4749	+	13.7232i	−0.641468	+	0.767149i
$321$	7.09921			0.396239
$322$	−11.9846	+	6.74648i	−0.667876	+	0.375966i
$323$	21.7438	+	21.7438i	1.20986	+	1.20986i
$324$	−1.52165	+	2.50789i	−0.0845363	+	0.139327i
$325$	17.3430	+	4.92158i	0.962014	+	0.273000i
$326$	−3.51714	+	12.5770i	−0.194797	+	0.696575i
$327$	−5.45386	+	5.45386i	−0.301599	+	0.301599i
$328$	−0.697386	+	21.3511i	−0.0385067	+	1.17892i
$329$			32.8501i			1.81109i
$330$	9.89868	−	7.79413i	0.544905	−	0.429053i
$331$	2.80448			0.154148			0.0770739	−	0.997025i	$-0.475442\pi$
$331$	2.80448			0.154148			0.0770739	+	0.997025i	$0.475442\pi$
$332$	−1.89021	+	0.462629i	−0.103739	+	0.0253901i
$333$	−3.07271	+	3.07271i	−0.168384	+	0.168384i
$334$	−10.8544	−	3.03541i	−0.593925	−	0.166090i
$335$	−1.84047	−	11.8339i	−0.100555	−	0.646552i
$336$	17.2845	−	8.99992i	0.942948	−	0.490986i
$337$	5.84766	−	5.84766i	0.318542	−	0.318542i	−0.529665	−	0.848207i	$-0.677682\pi$
$337$	5.84766	−	5.84766i	0.318542	−	0.318542i	0.848207	+	0.529665i	$0.177682\pi$
$338$	−11.2351	+	14.5524i	−0.611111	+	0.791545i
$339$	13.9548			0.757920
$340$	17.3370	+	7.14829i	0.940232	+	0.387671i
$341$	15.0851			0.816903
$342$	−8.28132	−	14.7111i	−0.447803	−	0.795487i
$343$	9.69613	+	9.69613i	0.523542	+	0.523542i
$344$	−1.60166	+	1.50034i	−0.0863559	+	0.0808931i
$345$	−4.94494	−	3.61383i	−0.266227	−	0.194562i
$346$	1.49222	−	5.33605i	0.0802222	−	0.286868i
$347$	17.2927	+	17.2927i	0.928322	+	0.928322i	0.997598	−	0.0692758i	$-0.0220688\pi$
$347$	17.2927	+	17.2927i	0.928322	+	0.928322i	−0.0692758	+	0.997598i	$0.522069\pi$
$348$	−4.51535	+	1.10513i	−0.242048	+	0.0592414i
$349$	−32.9448			−1.76349			−0.881747	−	0.471722i	$-0.843633\pi$
$349$	−32.9448			−1.76349			−0.881747	+	0.471722i	$0.843633\pi$
$350$	−1.05542	−	29.3894i	−0.0564145	−	1.57093i
$351$	−19.1550	+	3.88907i	−1.02242	+	0.207583i
$352$	−10.5120	+	16.1143i	−0.560292	+	0.858897i
$353$	16.6561	−	16.6561i	0.886515	−	0.886515i	−0.107672	−	0.994187i	$-0.534340\pi$
$353$	16.6561	−	16.6561i	0.886515	−	0.886515i	0.994187	+	0.107672i	$0.0343395\pi$
$354$	2.73960	−	9.79656i	0.145608	−	0.520681i
$355$	11.7428	−	16.0682i	0.623245	−	0.852809i
$356$	−18.2554	+	30.0874i	−0.967536	+	1.59463i
$357$	−14.4454	−	14.4454i	−0.764530	−	0.764530i
$358$	−6.34977	−	11.2799i	−0.335596	−	0.596161i
$359$			9.59143i			0.506216i	0.967438	+	0.253108i	$0.0814528\pi$
$359$			9.59143i			0.506216i	−0.967438	+	0.253108i	$0.918547\pi$
$360$	−8.10940	−	6.34274i	−0.427403	−	0.334292i
$361$	−34.7769			−1.83037
$362$	−8.05266	−	14.3049i	−0.423239	−	0.751851i
$363$	0.470428	−	0.470428i	0.0246911	−	0.0246911i
$364$	28.2230	+	10.1444i	1.47929	+	0.531711i
$365$	2.04363	+	13.1401i	0.106968	+	0.687785i
$366$	−12.9599	−	3.62421i	−0.677423	−	0.189440i
$367$	5.20933	+	5.20933i	0.271925	+	0.271925i	0.829875	−	0.557950i	$-0.188412\pi$
$367$	5.20933	+	5.20933i	0.271925	+	0.271925i	−0.557950	+	0.829875i	$0.688412\pi$
$368$	8.92051	+	2.81166i	0.465014	+	0.146568i
$369$	−12.2946			−0.640033
$370$	5.22232	+	6.63245i	0.271496	+	0.344804i
$371$	2.57190			0.133526
$372$	2.47027	+	10.0930i	0.128078	+	0.523299i
$373$	4.85688	+	4.85688i	0.251480	+	0.251480i	0.821577	−	0.570097i	$-0.193095\pi$
$373$	4.85688	+	4.85688i	0.251480	+	0.251480i	−0.570097	+	0.821577i	$0.693095\pi$
$374$	19.4243	+	5.43198i	1.00441	+	0.280881i
$375$	11.7185	−	5.84787i	0.605143	−	0.301983i
$376$	16.3045	−	15.2731i	0.840840	−	0.787650i
$377$	−5.96420	−	3.95108i	−0.307172	−	0.203491i
$378$	15.6409	+	27.7849i	0.804481	+	1.42910i
$379$			21.2083i			1.08940i	0.838632	+	0.544699i	$0.183356\pi$
$379$			21.2083i			1.08940i	−0.838632	+	0.544699i	$0.816644\pi$
$380$	−30.2786	+	12.5994i	−1.55326	+	0.646336i
$381$	−5.88741			−0.301621
$382$	−15.7116	+	8.84453i	−0.803877	+	0.452526i
$383$	−23.7062	−	23.7062i	−1.21133	−	1.21133i	−0.970590	−	0.240739i	$-0.922610\pi$
$383$	−23.7062	−	23.7062i	−1.21133	−	1.21133i	−0.240739	−	0.970590i	$-0.577390\pi$
$384$	−12.5031	−	4.39448i	−0.638045	−	0.224255i
$385$	−4.86084	−	31.2543i	−0.247731	−	1.59287i
$386$	16.6435	+	4.65433i	0.847131	+	0.236899i
$387$	−0.893115	−	0.893115i	−0.0453996	−	0.0453996i
$388$	9.99354	−	2.44592i	0.507345	−	0.124173i
$389$			12.0053i			0.608695i	0.952561	+	0.304347i	$0.0984384\pi$
$389$			12.0053i			0.608695i	−0.952561	+	0.304347i	$0.901562\pi$
$390$	1.09284	+	13.3112i	0.0553381	+	0.674039i
$391$		−	9.80505i		−	0.495862i
$392$	0.950778	−	29.1090i	0.0480215	−	1.47023i
$393$	9.06308	+	9.06308i	0.457172	+	0.457172i
$394$	3.36532	−	12.0341i	0.169543	−	0.606270i
$395$	17.4644	−	23.8971i	0.878727	−	1.20239i
$396$	−9.46673	−	5.74392i	−0.475721	−	0.288643i
$397$	6.52656	+	6.52656i	0.327559	+	0.327559i	0.851657	−	0.524099i	$-0.175598\pi$
$397$	6.52656	+	6.52656i	0.327559	+	0.327559i	−0.524099	+	0.851657i	$0.675598\pi$
$398$	4.24130	+	7.53435i	0.212597	+	0.377663i
$399$	35.7264			1.78856
$400$	−14.0962	+	14.1880i	−0.704809	+	0.709398i
$401$		−	10.7459i		−	0.536623i	−0.963332	−	0.268312i	$-0.913534\pi$
$401$		−	10.7459i		−	0.536623i	0.963332	−	0.268312i	$-0.0864657\pi$
$402$	7.73172	−	4.35241i	0.385623	−	0.217078i
$403$	−8.83173	+	13.3316i	−0.439940	+	0.664093i
$404$	−2.25040	+	3.70896i	−0.111962	+	0.184528i
$405$	−1.93513	+	2.64791i	−0.0961574	+	0.131576i
$406$	−3.14307	+	11.2393i	−0.155988	+	0.557799i
$407$	6.42010	+	6.42010i	0.318233	+	0.318233i
$408$	−0.453548	+	13.8858i	−0.0224540	+	0.687449i
$409$	25.0704			1.23965			0.619827	−	0.784739i	$-0.287203\pi$
$409$	25.0704			1.23965			0.619827	+	0.784739i	$0.287203\pi$
$410$	−2.82111	+	23.7168i	−0.139325	+	1.17129i
$411$	−1.30711			−0.0644748
$412$	8.95596	+	36.5922i	0.441228	+	1.80277i
$413$	−18.0582	−	18.0582i	−0.888588	−	0.888588i
$414$	−1.44971	+	5.18405i	−0.0712496	+	0.254782i
$415$	−2.14985	+	0.334356i	−0.105532	+	0.0164129i
$416$	−8.08683	−	18.7244i	−0.396490	−	0.918039i
$417$	12.0947	−	12.0947i	0.592278	−	0.592278i
$418$	−30.7374	+	17.3029i	−1.50341	+	0.846315i
$419$	−23.3976			−1.14305			−0.571523	−	0.820586i	$-0.693647\pi$
$419$	−23.3976			−1.14305			−0.571523	+	0.820586i	$0.693647\pi$
$420$	20.1154	−	8.37033i	0.981531	−	0.408430i
$421$		−	18.3566i		−	0.894645i	−0.894373	−	0.447322i	$-0.852378\pi$
$421$		−	18.3566i		−	0.894645i	0.894373	−	0.447322i	$-0.147622\pi$
$422$	−9.38061	+	5.28062i	−0.456641	+	0.257056i
$423$	9.09167	+	9.09167i	0.442052	+	0.442052i
$424$	−1.19576	−	1.27651i	−0.0580712	−	0.0619928i
$425$	18.6277	+	9.62262i	0.903578	+	0.466765i
$426$	14.1996	+	3.97090i	0.687972	+	0.192391i
$427$	−23.8892	+	23.8892i	−1.15608	+	1.15608i
$428$	−11.7734	+	2.88155i	−0.569089	+	0.139285i
$429$	2.85823	+	14.0777i	0.137996	+	0.679679i
$430$	−1.92779	+	1.51792i	−0.0929661	+	0.0732006i
$431$	−11.6050			−0.558995			−0.279498	−	0.960146i	$-0.590168\pi$
$431$	−11.6050			−0.558995			−0.279498	+	0.960146i	$0.590168\pi$
$432$	6.51850	−	20.6811i	0.313622	−	0.995022i
$433$	7.37080	+	7.37080i	0.354218	+	0.354218i	0.861676	−	0.507458i	$-0.169415\pi$
$433$	7.37080	+	7.37080i	0.354218	+	0.354218i	−0.507458	+	0.861676i	$0.669415\pi$
$434$	25.1229	+	7.02560i	1.20594	+	0.337240i
$435$	−5.13558	+	0.798715i	−0.246232	+	0.0382954i
$436$	6.83104	−	11.2584i	0.327147	−	0.539182i
$437$	12.1249	+	12.1249i	0.580015	+	0.580015i
$438$	−8.58518	+	4.83284i	−0.410216	+	0.230922i
$439$	−12.3992			−0.591780			−0.295890	−	0.955222i	$-0.595616\pi$
$439$	−12.3992			−0.591780			−0.295890	+	0.955222i	$0.595616\pi$
$440$	−13.2525	+	16.9437i	−0.631787	+	0.807760i
$441$	16.7618			0.798182
$442$	−16.1727	+	13.9862i	−0.769259	+	0.665255i
$443$	7.43297	−	7.43297i	0.353151	−	0.353151i	−0.508130	−	0.861281i	$-0.669663\pi$
$443$	7.43297	−	7.43297i	0.353151	−	0.353151i	0.861281	+	0.508130i	$0.169663\pi$
$444$	−3.24419	+	5.34685i	−0.153962	+	0.253750i
$445$	−23.2159	+	31.7672i	−1.10054	+	1.50591i
$446$	4.04365	−	14.4597i	0.191472	−	0.684688i
$447$	10.8944	−	10.8944i	0.515286	−	0.515286i
$448$	−25.0118	+	21.9413i	−1.18170	+	1.03663i
$449$	20.8335			0.983195			0.491598	−	0.870822i	$-0.336413\pi$
$449$	20.8335			0.983195			0.491598	+	0.870822i	$0.336413\pi$
$450$	−8.42598	−	7.84178i	−0.397205	−	0.369665i
$451$			25.6883i			1.20962i
$452$	−23.1428	+	5.66421i	−1.08855	+	0.266422i
$453$	−0.972372	+	0.972372i	−0.0456860	+	0.0456860i
$454$	23.0297	+	6.44024i	1.08084	+	0.302255i
$455$	30.4671	+	14.0023i	1.42832	+	0.656440i
$456$	−16.6104	−	17.7321i	−0.777851	−	0.830381i
$457$	−21.5022	−	21.5022i	−1.00583	−	1.00583i	−0.999983	−	0.00584703i	$-0.998139\pi$
$457$	−21.5022	−	21.5022i	−1.00583	−	1.00583i	−0.00584703	−	0.999983i	$-0.501861\pi$
$458$	1.33158	+	2.36544i	0.0622204	+	0.110530i
$459$	−22.7318			−1.06103
$460$	9.66760	+	3.98608i	0.450754	+	0.185852i
$461$		−	0.539391i		−	0.0251219i	−0.999921	−	0.0125610i	$-0.996002\pi$
$461$		−	0.539391i		−	0.0251219i	0.999921	−	0.0125610i	$-0.00399838\pi$
$462$	20.4202	−	11.4951i	0.950032	−	0.534800i
$463$	−17.7638	−	17.7638i	−0.825555	−	0.825555i	0.161344	−	0.986898i	$-0.448417\pi$
$463$	−17.7638	−	17.7638i	−0.825555	−	0.825555i	−0.986898	+	0.161344i	$0.948417\pi$
$464$	7.03974	−	3.66554i	0.326812	−	0.170168i
$465$	1.78534	+	11.4794i	0.0827932	+	0.532345i
$466$	−10.1015	+	36.1222i	−0.467945	+	1.67333i
$467$	−3.70108	−	3.70108i	−0.171266	−	0.171266i	0.616270	−	0.787535i	$-0.288643\pi$
$467$	−3.70108	−	3.70108i	−0.171266	−	0.171266i	−0.787535	+	0.616270i	$0.788643\pi$
$468$	10.6186	−	5.00348i	0.490847	−	0.231286i
$469$		−	22.2750i		−	1.02856i
$470$	19.6244	−	15.4520i	0.905204	−	0.712749i
$471$			0.826463i			0.0380814i
$472$	−0.566983	+	17.3587i	−0.0260975	+	0.799000i
$473$	−1.86607	+	1.86607i	−0.0858019	+	0.0858019i
$474$	21.1181	+	5.90566i	0.969987	+	0.271256i
$475$	−34.9345	+	11.1358i	−1.60290	+	0.510944i
$476$	29.8197	+	18.0930i	1.36678	+	0.829293i
$477$	0.711804	−	0.711804i	0.0325913	−	0.0325913i
$478$	22.2631	−	12.5325i	1.01829	−	0.573224i
$479$		−	17.2329i		−	0.787393i	−0.919240	−	0.393697i	$-0.871196\pi$
$479$		−	17.2329i		−	0.787393i	0.919240	−	0.393697i	$-0.128804\pi$
$480$	−13.5068	−	6.09224i	−0.616496	−	0.278071i
$481$	−9.43255	+	1.91511i	−0.430087	+	0.0873214i
$482$	22.3187	−	12.5638i	1.01659	−	0.572267i
$483$	−8.05513	−	8.05513i	−0.366521	−	0.366521i
$484$	−0.589218	+	0.971109i	−0.0267826	+	0.0441413i
$485$	11.3663	−	1.76774i	0.516115	−	0.0802691i
$486$	19.8097	+	5.53976i	0.898586	+	0.251289i
$487$	21.1196	−	21.1196i	0.957019	−	0.957019i	−0.0420947	−	0.999114i	$-0.513403\pi$
$487$	21.1196	−	21.1196i	0.957019	−	0.957019i	0.999114	+	0.0420947i	$0.0134031\pi$
$488$	22.9638	+	0.750061i	1.03952	+	0.0339537i
$489$	−10.8173			−0.489173
$490$	3.84615	−	32.3342i	0.173751	−	1.46071i
$491$		−	16.7896i		−	0.757704i	−0.925457	−	0.378852i	$-0.876319\pi$
$491$		−	16.7896i		−	0.757704i	0.925457	−	0.378852i	$-0.123681\pi$
$492$	−17.1874	+	4.20662i	−0.774867	+	0.189649i
$493$	−5.88339	−	5.88339i	−0.264975	−	0.264975i
$494$	2.70389	−	37.2946i	0.121654	−	1.67796i
$495$	−9.99529	−	7.30470i	−0.449255	−	0.328322i
$496$	−8.19346	−	15.7357i	−0.367897	−	0.706554i
$497$	26.1744	−	26.1744i	1.17408	−	1.17408i
$498$	−0.790699	−	1.40462i	−0.0354321	−	0.0629424i
$499$		−	33.8593i		−	1.51575i	−0.652399	−	0.757876i	$-0.726237\pi$
$499$		−	33.8593i		−	1.51575i	0.652399	−	0.757876i	$-0.273763\pi$
$500$	−17.0605	+	14.4547i	−0.762970	+	0.646434i
$501$		−	9.33566i		−	0.417086i
$502$	−7.96359	+	4.48293i	−0.355432	+	0.200083i
$503$	−9.11180	+	9.11180i	−0.406275	+	0.406275i	−0.880437	−	0.474162i	$-0.842751\pi$
$503$	−9.11180	+	9.11180i	−0.406275	+	0.406275i	0.474162	+	0.880437i	$0.342751\pi$
$504$	−13.0909	−	13.9750i	−0.583116	−	0.622495i
$505$	−2.86190	+	3.91605i	−0.127353	+	0.174262i
$506$	10.8315	+	3.02902i	0.481520	+	0.134657i
$507$	−14.1147	−	5.71598i	−0.626856	−	0.253856i
$508$	9.76375	−	2.38968i	0.433196	−	0.106025i
$509$	28.4383			1.26051			0.630253	−	0.776390i	$-0.282951\pi$
$509$	28.4383			1.26051			0.630253	+	0.776390i	$0.282951\pi$
$510$	−1.83472	+	15.4243i	−0.0812429	+	0.683001i
$511$			24.7338i			1.09416i
$512$	22.5190	+	2.21289i	0.995206	+	0.0977967i
$513$	28.1102	−	28.1102i	1.24110	−	1.24110i
$514$	−20.1938	−	5.64716i	−0.890709	−	0.249086i
$515$	6.47274	+	41.6185i	0.285223	+	1.83393i
$516$	−1.55412	−	0.942956i	−0.0684161	−	0.0415113i
$517$	18.9961	−	18.9961i	0.835446	−	0.835446i
$518$	7.70210	+	13.6822i	0.338411	+	0.601161i
$519$	4.58944			0.201454
$520$	−7.21536	−	21.6319i	−0.316415	−	0.948621i
$521$	−16.5062			−0.723149			−0.361574	−	0.932343i	$-0.617761\pi$
$521$	−16.5062			−0.723149			−0.361574	+	0.932343i	$0.617761\pi$
$522$	2.24074	+	3.98050i	0.0980745	+	0.174222i
$523$	26.6496	−	26.6496i	1.16531	−	1.16531i	0.182010	−	0.983297i	$-0.441740\pi$
$523$	26.6496	−	26.6496i	1.16531	−	1.16531i	0.983297	−	0.182010i	$-0.0582604\pi$
$524$	−18.7090	−	11.3516i	−0.817306	−	0.495899i
$525$	23.2085	−	7.39798i	1.01290	−	0.322874i
$526$	−12.5853	−	3.51946i	−0.548744	−	0.153456i
$527$	−13.1510	+	13.1510i	−0.572865	+	0.572865i
$528$	−15.1994	−	4.79070i	−0.661468	−	0.208488i
$529$			17.5324i			0.762280i
$530$	−1.20977	−	1.53643i	−0.0525490	−	0.0667382i
$531$	−9.99568			−0.433776
$532$	−59.2490	+	14.5012i	−2.56877	+	0.628708i
$533$	−22.7023	−	15.0395i	−0.983346	−	0.651434i
$534$	−28.0730	−	7.85059i	−1.21484	−	0.339728i
$535$	−13.3906	+	2.08258i	−0.578927	+	0.0900379i
$536$	−11.0557	+	10.3564i	−0.477535	+	0.447327i
$537$	7.58148	−	7.58148i	0.327165	−	0.327165i
$538$	35.8047	−	20.1555i	1.54365	−	0.868966i
$539$		−	35.0220i		−	1.50851i
$540$	9.24126	−	22.4132i	0.397681	−	0.964509i
$541$		−	5.74827i		−	0.247137i	−0.992336	−	0.123569i	$-0.960566\pi$
$541$		−	5.74827i		−	0.247137i	0.992336	−	0.123569i	$-0.0394339\pi$
$542$	4.44714	+	7.90001i	0.191021	+	0.339335i
$543$	9.61469	−	9.61469i	0.412606	−	0.412606i
$544$	−4.88404	−	23.2125i	−0.209401	−	0.995226i
$545$	8.68722	−	11.8870i	0.372120	−	0.509185i
$546$	−1.79631	+	24.7765i	−0.0768750	+	1.06033i
$547$	−5.92809	−	5.92809i	−0.253467	−	0.253467i	0.568924	−	0.822390i	$-0.307360\pi$
$547$	−5.92809	−	5.92809i	−0.253467	−	0.253467i	−0.822390	+	0.568924i	$0.807360\pi$
$548$	2.16772	−	0.530551i	0.0926004	−	0.0226640i
$549$			13.2233i			0.564355i
$550$	−16.3846	+	17.6052i	−0.698641	+	0.750688i
$551$	14.5508			0.619886
$552$	−0.252911	+	7.74310i	−0.0107646	+	0.329568i
$553$	38.9276	−	38.9276i	1.65537	−	1.65537i
$554$	−8.02231	−	2.24343i	−0.340835	−	0.0953142i
$555$	−4.12573	+	5.64538i	−0.175127	+	0.239633i
$556$	−15.1487	+	24.9671i	−0.642450	+	1.05884i
$557$	−19.7561	−	19.7561i	−0.837091	−	0.837091i	0.151384	−	0.988475i	$-0.451627\pi$
$557$	−19.7561	−	19.7561i	−0.837091	−	0.837091i	−0.988475	+	0.151384i	$0.951627\pi$
$558$	8.89750	−	5.00866i	0.376661	−	0.212033i
$559$	−0.556645	−	2.74166i	−0.0235436	−	0.115960i
$560$	−29.9621	+	22.0462i	−1.26613	+	0.931624i
$561$			16.7065i			0.705349i
$562$	2.63494	−	1.48328i	0.111148	−	0.0625686i
$563$	18.8438	−	18.8438i	0.794170	−	0.794170i	−0.187999	−	0.982169i	$-0.560200\pi$
$563$	18.8438	−	18.8438i	0.794170	−	0.794170i	0.982169	+	0.187999i	$0.0602002\pi$
$564$	15.8205	+	9.59904i	0.666162	+	0.404192i
$565$	−26.3217	+	4.09370i	−1.10736	+	0.172223i
$566$	28.1017	+	7.85860i	1.18120	+	0.330322i
$567$	−4.31335	+	4.31335i	−0.181144	+	0.181144i
$568$	−25.1605	−	0.821811i	−1.05571	−	0.0344824i
$569$			6.29158i			0.263757i	0.991266	+	0.131878i	$0.0421009\pi$
$569$			6.29158i			0.263757i	−0.991266	+	0.131878i	$0.957899\pi$
$570$	−16.8050	−	21.3426i	−0.703882	−	0.893943i
$571$		−	1.50121i		−	0.0628236i	−0.999507	−	0.0314118i	$-0.990000\pi$
$571$		−	1.50121i		−	0.0628236i	0.999507	−	0.0314118i	$-0.0100003\pi$
$572$	−10.4542	−	22.1865i	−0.437113	−	0.927665i
$573$	−10.5602	−	10.5602i	−0.441157	−	0.441157i
$574$	−11.9639	+	42.7818i	−0.499362	+	1.78568i
$575$	10.3873	+	5.36584i	0.433182	+	0.223771i
$576$	−0.849801	+	12.9948i	−0.0354084	+	0.541452i
$577$	28.7928	+	28.7928i	1.19866	+	1.19866i	0.974569	+	0.224089i	$0.0719407\pi$
$577$	28.7928	+	28.7928i	1.19866	+	1.19866i	0.224089	+	0.974569i	$0.428059\pi$
$578$	−0.719093	+	0.404798i	−0.0299103	+	0.0168374i
$579$			14.3148i			0.594902i
$580$	8.19271	−	3.40912i	0.340184	−	0.141556i
$581$	−4.04668			−0.167885
$582$	4.18043	+	7.42621i	0.173284	+	0.307826i
$583$	−1.48724	−	1.48724i	−0.0615951	−	0.0615951i
$584$	12.2761	−	11.4995i	0.507989	−	0.475854i
$585$	12.3075	−	4.55682i	0.508851	−	0.188401i
$586$	21.5749	+	6.03339i	0.891250	+	0.249237i
$587$	−12.4530	+	12.4530i	−0.513991	+	0.513991i	−0.915747	−	0.401756i	$-0.868400\pi$
$587$	−12.4530	+	12.4530i	−0.513991	+	0.513991i	0.401756	+	0.915747i	$0.368400\pi$
$588$	23.4323	−	5.73507i	0.966332	−	0.236510i
$589$		−	32.5250i		−	1.34017i
$590$	−2.29360	+	19.2821i	−0.0944259	+	0.793830i
$591$	10.3503			0.425755
$592$	3.20993	−	10.1841i	0.131927	−	0.418563i
$593$	−11.1783	+	11.1783i	−0.459037	+	0.459037i	−0.898339	−	0.439303i	$-0.855226\pi$
$593$	−11.1783	+	11.1783i	−0.459037	+	0.459037i	0.439303	+	0.898339i	$0.355226\pi$
$594$	7.02243	−	25.1116i	0.288134	−	1.03034i
$595$	31.4846	+	23.0094i	1.29074	+	0.943294i
$596$	−13.6454	+	22.4894i	−0.558936	+	0.921200i
$597$	−5.06402	+	5.06402i	−0.207256	+	0.207256i
$598$	−9.01836	+	7.79909i	−0.368788	+	0.318928i
$599$	−2.19935			−0.0898631			−0.0449316	−	0.998990i	$-0.514307\pi$
$599$	−2.19935			−0.0898631			−0.0449316	+	0.998990i	$0.514307\pi$
$600$	−14.4622	−	8.07952i	−0.590418	−	0.329845i
$601$	−46.4120			−1.89319			−0.946593	−	0.322432i	$-0.895500\pi$
$601$	−46.4120			−1.89319			−0.946593	+	0.322432i	$0.895500\pi$
$602$	−3.97687	+	2.23869i	−0.162085	+	0.0912423i
$603$	−6.16487	−	6.16487i	−0.251053	−	0.251053i
$604$	1.21791	−	2.00728i	0.0495560	−	0.0816749i
$605$	−0.749325	+	1.02533i	−0.0304644	+	0.0416856i
$606$	−3.46065	−	0.967766i	−0.140579	−	0.0393128i
$607$	−18.8555	−	18.8555i	−0.765320	−	0.765320i	0.211958	−	0.977279i	$-0.432016\pi$
$607$	−18.8555	−	18.8555i	−0.765320	−	0.765320i	−0.977279	+	0.211958i	$0.932016\pi$
$608$	34.7442	+	22.6650i	1.40906	+	0.919186i
$609$	−9.66675			−0.391717
$610$	25.5082	+	3.03420i	1.03280	+	0.122851i
$611$	5.66650	+	27.9094i	0.229242	+	1.12909i
$612$	13.2604	−	3.24550i	0.536021	−	0.131191i
$613$	−15.9427	+	15.9427i	−0.643918	+	0.643918i	−0.951516	−	0.307598i	$-0.900475\pi$
$613$	−15.9427	+	15.9427i	−0.643918	+	0.643918i	0.307598	+	0.951516i	$0.400475\pi$
$614$	−33.4416	−	9.35191i	−1.34959	−	0.377412i
$615$	−19.5482	+	3.04025i	−0.788261	+	0.122595i
$616$	−29.1992	+	27.3521i	−1.17647	+	1.10205i
$617$	−23.2627	−	23.2627i	−0.936521	−	0.936521i	0.0615814	−	0.998102i	$-0.480386\pi$
$617$	−23.2627	−	23.2627i	−0.936521	−	0.936521i	−0.998102	+	0.0615814i	$0.980386\pi$
$618$	−27.1917	+	15.3070i	−1.09381	+	0.615737i
$619$			25.4127i			1.02142i	0.859753	+	0.510711i	$0.170618\pi$
$619$			25.4127i			1.02142i	−0.859753	+	0.510711i	$0.829382\pi$
$620$	−7.62029	−	18.3129i	−0.306038	−	0.735464i
$621$	−12.6759			−0.508666
$622$	−5.47299	+	3.08090i	−0.219447	+	0.123533i
$623$	−51.7477	+	51.7477i	−2.07323	+	2.07323i
$624$	13.1325	−	10.6278i	0.525719	−	0.425453i
$625$	−20.3882	+	14.4680i	−0.815526	+	0.578720i
$626$	−0.517638	+	1.85103i	−0.0206890	+	0.0739819i
$627$	−20.6593	−	20.6593i	−0.825053	−	0.825053i
$628$	−0.335459	−	1.37062i	−0.0133863	−	0.0546935i
$629$	−11.1939			−0.446330
$630$	−13.2443	−	16.8205i	−0.527665	−	0.670145i
$631$	13.3790			0.532611			0.266306	−	0.963889i	$-0.414197\pi$
$631$	13.3790			0.532611			0.266306	+	0.963889i	$0.414197\pi$
$632$	−37.4196	−	1.22223i	−1.48847	−	0.0486176i
$633$	−6.30493	−	6.30493i	−0.250599	−	0.250599i
$634$	4.21032	−	15.0557i	0.167213	−	0.597939i
$635$	11.1049	−	1.72710i	0.440685	−	0.0685378i
$636$	0.751527	−	1.23862i	0.0298000	−	0.0491143i
$637$	30.9511	+	20.5040i	1.22633	+	0.812400i
$638$	8.31684	−	4.68179i	0.329267	−	0.185354i
$639$		−	14.4882i		−	0.573144i
$640$	24.8726	+	4.62108i	0.983175	+	0.182664i
$641$	11.8619			0.468515			0.234257	−	0.972175i	$-0.424734\pi$
$641$	11.8619			0.468515			0.234257	+	0.972175i	$0.424734\pi$
$642$	−4.92497	−	8.74884i	−0.194373	−	0.345289i
$643$	9.06620	+	9.06620i	0.357536	+	0.357536i	0.862904	−	0.505368i	$-0.168643\pi$
$643$	9.06620	+	9.06620i	0.357536	+	0.357536i	−0.505368	+	0.862904i	$0.668643\pi$
$644$	16.6283	+	10.0892i	0.655246	+	0.397569i
$645$	−1.64089	−	1.19918i	−0.0646099	−	0.0472178i
$646$	11.7119	−	41.8808i	0.460800	−	1.64778i
$647$	9.84858	+	9.84858i	0.387188	+	0.387188i	0.873683	−	0.486495i	$-0.161725\pi$
$647$	9.84858	+	9.84858i	0.387188	+	0.387188i	−0.486495	+	0.873683i	$0.661725\pi$
$648$	4.14626	+	0.135428i	0.162881	+	0.00532012i
$649$			20.8849i			0.819804i
$650$	−5.96623	−	24.7872i	−0.234015	−	0.972233i
$651$			21.6078i			0.846876i
$652$	17.9395	−	4.39069i	0.702563	−	0.171953i
$653$	15.5910	+	15.5910i	0.610124	+	0.610124i	0.942978	−	0.332854i	$-0.108012\pi$
$653$	15.5910	+	15.5910i	0.610124	+	0.610124i	−0.332854	+	0.942978i	$0.608012\pi$
$654$	10.5047	+	2.93763i	0.410766	+	0.114870i
$655$	−19.7536	−	14.4362i	−0.771836	−	0.564069i
$656$	26.7963	−	13.9526i	1.04622	−	0.544758i
$657$	6.84537	+	6.84537i	0.267063	+	0.267063i
$658$	40.4834	−	22.7893i	1.57821	−	0.888419i
$659$	−21.0850			−0.821357			−0.410678	−	0.911780i	$-0.634708\pi$
$659$	−21.0850			−0.821357			−0.410678	+	0.911780i	$0.634708\pi$
$660$	−16.4723	−	6.79176i	−0.641183	−	0.264369i
$661$		−	45.4347i		−	1.76721i	−0.468237	−	0.883603i	$-0.655111\pi$
$661$		−	45.4347i		−	1.76721i	0.468237	−	0.883603i	$-0.344889\pi$
$662$	−1.94556	−	3.45615i	−0.0756165	−	0.134327i
$663$	−14.7645	−	9.78100i	−0.573407	−	0.379863i
$664$	1.88143	+	2.00849i	0.0730138	+	0.0779445i
$665$	−67.3875	+	10.4805i	−2.61318	+	0.406416i
$666$	5.91836	+	1.65506i	0.229332	+	0.0641324i
$667$	−3.28074	−	3.28074i	−0.127031	−	0.127031i
$668$	3.78932	+	15.4824i	0.146613	+	0.599031i
$669$	12.4366			0.480825
$670$	−13.3069	+	10.4777i	−0.514089	+	0.404789i
$671$	27.6286			1.06659
$672$	−23.0821	−	15.0573i	−0.890411	−	0.580849i
$673$	23.8509	+	23.8509i	0.919385	+	0.919385i	0.996985	−	0.0775994i	$-0.0247255\pi$
$673$	23.8509	+	23.8509i	0.919385	+	0.919385i	−0.0775994	+	0.996985i	$0.524726\pi$
$674$	−11.2632	−	3.14974i	−0.433842	−	0.121323i
$675$	12.4400	−	24.0818i	0.478818	−	0.926909i
$676$	25.7281	+	3.75032i	0.989542	+	0.144243i
$677$	29.0222	−	29.0222i	1.11541	−	1.11541i	0.123009	−	0.992406i	$-0.460746\pi$
$677$	29.0222	−	29.0222i	1.11541	−	1.11541i	0.992406	−	0.123009i	$-0.0392545\pi$
$678$	−9.68093	−	17.1974i	−0.371794	−	0.660464i
$679$	21.3948			0.821057
$680$	−3.21797	−	26.3246i	−0.123404	−	1.00950i
$681$			19.8075i			0.759023i
$682$	−10.4651	−	18.5904i	−0.400728	−	0.711862i
$683$	−12.9148	−	12.9148i	−0.494172	−	0.494172i	0.415446	−	0.909618i	$-0.363625\pi$
$683$	−12.9148	−	12.9148i	−0.494172	−	0.494172i	−0.909618	+	0.415446i	$0.863625\pi$
$684$	−12.3845	+	20.4113i	−0.473533	+	0.780445i
$685$	2.46548	−	0.383445i	0.0942011	−	0.0146507i
$686$	5.22265	−	18.6758i	0.199402	−	0.713044i
$687$	−1.58987	+	1.58987i	−0.0606573	+	0.0606573i
$688$	2.96011	+	0.932998i	0.112853	+	0.0355702i
$689$	2.18508	−	0.443641i	0.0832450	−	0.0169014i
$690$	−1.02309	+	8.60103i	−0.0389484	+	0.327436i
$691$	46.8753			1.78322			0.891611	−	0.452803i	$-0.149576\pi$
$691$	46.8753			1.78322			0.891611	+	0.452803i	$0.149576\pi$
$692$	−7.61118	+	1.86284i	−0.289334	+	0.0708146i
$693$	−16.2820	−	16.2820i	−0.618501	−	0.618501i
$694$	9.31442	−	33.3076i	0.353571	−	1.26434i
$695$	−19.2651	+	26.3611i	−0.730766	+	0.999935i
$696$	4.49439	+	4.79790i	0.170359	+	0.181864i
$697$	−22.3947	−	22.3947i	−0.848260	−	0.848260i
$698$	22.8550	+	40.6001i	0.865074	+	1.53674i
$699$	−31.0681			−1.17510
$700$	−35.4864	+	21.6892i	−1.34126	+	0.819773i
$701$	−28.4061			−1.07288			−0.536441	−	0.843938i	$-0.680232\pi$
$701$	−28.4061			−1.07288			−0.536441	+	0.843938i	$0.680232\pi$
$702$	18.0813	+	20.9080i	0.682433	+	0.789122i
$703$	13.8424	−	13.8424i	0.522077	−	0.522077i
$704$	27.1513	+	1.77557i	1.02330	+	0.0669192i
$705$	16.7038	+	12.2074i	0.629101	+	0.459756i
$706$	−32.0814	−	8.97152i	−1.20740	−	0.337648i
$707$	−6.37910	+	6.37910i	−0.239911	+	0.239911i
$708$	−13.9735	+	3.42003i	−0.525157	+	0.128533i
$709$	17.7546			0.666789			0.333395	−	0.942787i	$-0.391806\pi$
$709$	17.7546			0.666789			0.333395	+	0.942787i	$0.391806\pi$
$710$	−27.9483	−	3.32444i	−1.04888	−	0.124764i
$711$		−	21.5473i		−	0.808089i
$712$	49.7431	+	1.62475i	1.86420	+	0.0608899i
$713$	−7.33333	+	7.33333i	−0.274636	+	0.274636i
$714$	−7.78075	+	27.8233i	−0.291187	+	1.04126i
$715$	−9.52098	−	25.7151i	−0.356065	−	0.961691i
$716$	−9.49591	+	15.6505i	−0.354879	+	0.584887i
$717$	14.9635	+	14.9635i	0.558823	+	0.558823i
$718$	11.8202	−	6.65391i	0.441125	−	0.248322i
$719$	37.6027			1.40234			0.701172	−	0.712992i	$-0.252660\pi$
$719$	37.6027			1.40234			0.701172	+	0.712992i	$0.252660\pi$
$720$	−2.19081	+	14.3939i	−0.0816468	+	0.536431i
$721$			78.3389i			2.91749i
$722$	24.1260	+	42.8580i	0.897877	+	1.59501i
$723$	15.0009	+	15.0009i	0.557890	+	0.557890i
$724$	−12.0425	+	19.8477i	−0.447557	+	0.737634i
$725$	9.45249	−	3.01309i	0.351057	−	0.111903i
$726$	−0.906093	−	0.253388i	−0.0336283	−	0.00940411i
$727$	19.3815	+	19.3815i	0.718821	+	0.718821i	0.968364	−	0.249543i	$-0.0802803\pi$
$727$	19.3815	+	19.3815i	0.718821	+	0.718821i	−0.249543	+	0.968364i	$0.580280\pi$
$728$	−7.07767	−	41.8187i	−0.262316	−	1.54990i
$729$			21.4381i			0.794004i
$730$	14.7757	−	11.6343i	0.546874	−	0.430603i
$731$		−	3.25362i		−	0.120340i
$732$	4.52435	+	18.4856i	0.167225	+	0.683246i
$733$	9.74025	−	9.74025i	0.359764	−	0.359764i	−0.503962	−	0.863726i	$-0.668125\pi$
$733$	9.74025	−	9.74025i	0.359764	−	0.359764i	0.863726	+	0.503962i	$0.168125\pi$
$734$	2.80592	−	10.0337i	0.103568	−	0.370351i
$735$	26.6510	−	4.14491i	0.983036	−	0.152887i
$736$	−2.72347	−	12.9439i	−0.100389	−	0.477119i
$737$	−12.8808	+	12.8808i	−0.474472	+	0.474472i
$738$	8.52922	+	15.1515i	0.313965	+	0.557735i
$739$			16.2811i			0.598908i	0.954111	+	0.299454i	$0.0968046\pi$
$739$			16.2811i			0.598908i	−0.954111	+	0.299454i	$0.903195\pi$
$740$	4.55070	−	11.0370i	0.167287	−	0.405728i
$741$	30.3531	−	6.16264i	1.11505	−	0.226390i
$742$	−1.78422	−	3.16952i	−0.0655007	−	0.116357i
$743$	16.8082	+	16.8082i	0.616634	+	0.616634i	0.944666	−	0.328033i	$-0.106386\pi$
$743$	16.8082	+	16.8082i	0.616634	+	0.616634i	−0.328033	+	0.944666i	$0.606386\pi$
$744$	10.7246	−	10.0462i	0.393183	−	0.368311i
$745$	−17.3532	+	23.7450i	−0.635772	+	0.869950i
$746$	2.61607	−	9.35485i	0.0957812	−	0.342505i
$747$	−1.11997	+	1.11997i	−0.0409775	+	0.0409775i
$748$	−6.78112	−	27.7062i	−0.247942	−	1.01304i
$749$	−25.2053			−0.920981
$750$	−15.3363	−	10.3847i	−0.560002	−	0.379195i
$751$		−	17.9246i		−	0.654080i	−0.945011	−	0.327040i	$-0.893949\pi$
$751$		−	17.9246i		−	0.654080i	0.945011	−	0.327040i	$-0.106051\pi$
$752$	−30.1331	−	9.49766i	−1.09884	−	0.346344i
$753$	−5.35252	−	5.35252i	−0.195057	−	0.195057i
$754$	−0.731611	+	10.0911i	−0.0266437	+	0.367496i
$755$	1.54885	−	2.11935i	0.0563684	−	0.0771310i
$756$	23.3905	−	38.5507i	0.850706	−	1.40208i
$757$	26.9558	−	26.9558i	0.979726	−	0.979726i	−0.0200726	−	0.999799i	$-0.506390\pi$
$757$	26.9558	−	26.9558i	0.979726	−	0.979726i	0.999799	+	0.0200726i	$0.00638974\pi$
$758$	26.1364	−	14.7130i	0.949318	−	0.534399i
$759$			9.31600i			0.338149i
$760$	36.5324	+	28.5737i	1.32517	+	1.03648i
$761$			39.0244i			1.41463i	0.706897	+	0.707316i	$0.250094\pi$
$761$			39.0244i			1.41463i	−0.706897	+	0.707316i	$0.749906\pi$
$762$	4.08431	+	7.25546i	0.147959	+	0.262837i
$763$	19.3636	−	19.3636i	0.701008	−	0.701008i
$764$	21.7994	+	13.2268i	0.788676	+	0.478527i
$765$	15.0819	−	2.34562i	0.545287	−	0.0848061i
$766$	−12.7689	+	45.6605i	−0.461360	+	1.64978i
$767$	−18.4572	−	12.2273i	−0.666452	−	0.441502i
$768$	3.25821	+	18.4570i	0.117571	+	0.666009i
$769$	−0.308598			−0.0111283			−0.00556416	−	0.999985i	$-0.501771\pi$
$769$	−0.308598			−0.0111283			−0.00556416	+	0.999985i	$0.501771\pi$
$770$	−35.1446	+	27.6725i	−1.26652	+	0.997249i
$771$		−	17.3683i		−	0.625504i
$772$	−5.81033	−	23.7398i	−0.209118	−	0.854413i
$773$	7.48016	−	7.48016i	0.269043	−	0.269043i	−0.559672	−	0.828714i	$-0.689073\pi$
$773$	7.48016	−	7.48016i	0.269043	−	0.269043i	0.828714	+	0.559672i	$0.189073\pi$
$774$	−0.481061	+	1.72023i	−0.0172914	+	0.0618324i
$775$	−6.73506	−	21.1288i	−0.241931	−	0.758971i
$776$	−9.94715	−	10.6189i	−0.357082	−	0.381196i
$777$	−9.19613	+	9.19613i	−0.329909	+	0.329909i
$778$	14.7950	−	8.32853i	0.530426	−	0.298592i
$779$	55.3867			1.98444
$780$	15.6462	−	10.5812i	0.560223	−	0.378869i
$781$	−30.2715			−1.08320
$782$	−12.0834	+	6.80211i	−0.432102	+	0.243243i
$783$	−7.60600	+	7.60600i	−0.271816	+	0.271816i
$784$	−36.5326	+	19.0222i	−1.30473	+	0.679365i
$785$	−0.242447	−	1.55889i	−0.00865329	−	0.0556390i
$786$	4.88167	−	17.4564i	0.174123	−	0.622650i
$787$	37.3152	−	37.3152i	1.33014	−	1.33014i	0.424906	−	0.905238i	$-0.360307\pi$
$787$	37.3152	−	37.3152i	1.33014	−	1.33014i	0.905238	−	0.424906i	$-0.139693\pi$
$788$	−17.1651	+	4.20117i	−0.611481	+	0.149660i
$789$		−	10.8244i		−	0.385358i
$790$	−41.5657	−	4.94423i	−1.47884	−	0.175908i
$791$	−49.5456			−1.76164
$792$	−0.511213	+	15.6513i	−0.0181652	+	0.556143i
$793$	−16.1755	+	24.4170i	−0.574408	+	0.867075i
$794$	3.51542	−	12.5708i	0.124758	−	0.446122i
$795$	0.955738	−	1.30777i	0.0338965	−	0.0463819i
$796$	6.34275	−	10.4537i	0.224813	−	0.370521i
$797$	−22.8667	+	22.8667i	−0.809978	+	0.809978i	−0.984630	−	0.174652i	$-0.944120\pi$
$797$	−22.8667	+	22.8667i	−0.809978	+	0.809978i	0.174652	+	0.984630i	$0.444120\pi$
$798$	−24.7846	−	44.0280i	−0.877367	−	1.55858i
$799$			33.1210i			1.17174i
$800$	27.2638	+	7.52899i	0.963921	+	0.266190i
$801$			28.6436i			1.01207i
$802$	−13.2429	+	7.45480i	−0.467622	+	0.263238i
$803$	14.3027	−	14.3027i	0.504730	−	0.504730i
$804$	−10.7275	−	6.50891i	−0.378331	−	0.229551i
$805$	17.5567	+	12.8307i	0.618792	+	0.452222i
$806$	22.5563	+	1.63535i	0.794512	+	0.0576027i
$807$	24.0652	+	24.0652i	0.847135	+	0.847135i
$808$	6.13199	+	0.200288i	0.215723	+	0.00704609i
$809$		−	29.5735i		−	1.03975i	−0.854243	−	0.519874i	$-0.825979\pi$
$809$		−	29.5735i		−	1.03975i	0.854243	−	0.519874i	$-0.174021\pi$
$810$	4.60567	+	0.547843i	0.161827	+	0.0192493i
$811$	−8.80243			−0.309095			−0.154548	−	0.987985i	$-0.549392\pi$
$811$	−8.80243			−0.309095			−0.154548	+	0.987985i	$0.549392\pi$
$812$	16.0315	−	3.92371i	0.562594	−	0.137695i
$813$	−5.30978	+	5.30978i	−0.186222	+	0.186222i
$814$	3.45808	−	12.3658i	0.121206	−	0.433421i
$815$	20.4036	−	3.17329i	0.714708	−	0.111155i
$816$	17.4271	−	9.07413i	0.610069	−	0.317658i
$817$	4.02344	+	4.02344i	0.140762	+	0.140762i
$818$	−17.3923	−	30.8960i	−0.608106	−	1.08025i
$819$	23.9218	−	4.85689i	0.835896	−	0.169713i
$820$	31.1850	−	12.9766i	1.08903	−	0.453161i
$821$			22.9355i			0.800456i	0.916416	+	0.400228i	$0.131069\pi$
$821$			22.9355i			0.800456i	−0.916416	+	0.400228i	$0.868931\pi$
$822$	0.906786	+	1.61084i	0.0316278	+	0.0561844i
$823$	−31.1108	+	31.1108i	−1.08446	+	1.08446i	−0.0883682	+	0.996088i	$0.528165\pi$
$823$	−31.1108	+	31.1108i	−1.08446	+	1.08446i	−0.996088	+	0.0883682i	$0.971835\pi$
$824$	38.8820	−	36.4223i	1.35452	−	1.26883i
$825$	−17.6987	−	9.14267i	−0.616188	−	0.318307i
$826$	−9.72676	+	34.7821i	−0.338437	+	1.21022i
$827$	6.78549	−	6.78549i	0.235955	−	0.235955i	−0.579218	−	0.815173i	$-0.696642\pi$
$827$	6.78549	−	6.78549i	0.235955	−	0.235955i	0.815173	+	0.579218i	$0.196642\pi$
$828$	7.39438	−	1.80978i	0.256972	−	0.0628942i
$829$		−	8.41984i		−	0.292433i	−0.989253	−	0.146217i	$-0.953290\pi$
$829$		−	8.41984i		−	0.292433i	0.989253	−	0.146217i	$-0.0467097\pi$
$830$	1.90348	+	2.41745i	0.0660706	+	0.0839109i
$831$		−	6.89985i		−	0.239353i
$832$	−17.4652	+	22.9557i	−0.605498	+	0.795847i
$833$	30.5317	+	30.5317i	1.05786	+	1.05786i
$834$	−23.2956	−	6.51458i	−0.806660	−	0.225582i
$835$	2.73866	+	17.6090i	0.0947751	+	0.609386i
$836$	42.6472	+	25.8761i	1.47498	+	0.894943i
$837$	17.0015	+	17.0015i	0.587656	+	0.587656i
$838$	16.2317	+	28.8344i	0.560715	+	0.996068i
$839$		−	40.2917i		−	1.39103i	−0.718514	−	0.695513i	$-0.755177\pi$
$839$		−	40.2917i		−	1.39103i	0.718514	−	0.695513i	$-0.244823\pi$
$840$	−24.2701	−	18.9828i	−0.837398	−	0.654968i
$841$	25.0629			0.864237
$842$	−22.6221	+	12.7346i	−0.779608	+	0.438864i
$843$	1.77101	+	1.77101i	0.0609967	+	0.0609967i
$844$	13.0153	+	7.89702i	0.448006	+	0.271826i
$845$	28.3001	+	6.64094i	0.973554	+	0.228455i
$846$	4.89707	−	17.5115i	0.168365	−	0.602057i
$847$	−1.67022	+	1.67022i	−0.0573896	+	0.0573896i
$848$	−0.743590	+	2.35918i	−0.0255350	+	0.0810145i
$849$			24.1698i			0.829504i
$850$	−1.06412	−	29.6318i	−0.0364990	−	1.01636i
$851$	−6.24203			−0.213974
$852$	−4.95714	−	20.2539i	−0.169829	−	0.693886i
$853$	8.82894	−	8.82894i	0.302297	−	0.302297i	−0.539615	−	0.841912i	$-0.681430\pi$
$853$	8.82894	−	8.82894i	0.302297	−	0.302297i	0.841912	+	0.539615i	$0.181430\pi$
$854$	46.0131	+	12.8675i	1.57454	+	0.440317i
$855$	−15.7497	+	21.5509i	−0.538629	+	0.737026i
$856$	11.7188	+	12.5101i	0.400539	+	0.427588i
$857$	−17.4628	+	17.4628i	−0.596516	+	0.596516i	−0.939384	−	0.342868i	$-0.888602\pi$
$857$	−17.4628	+	17.4628i	−0.596516	+	0.596516i	0.342868	+	0.939384i	$0.388602\pi$
$858$	15.3661	−	13.2886i	0.524590	−	0.453666i
$859$	−24.9704			−0.851980			−0.425990	−	0.904728i	$-0.640074\pi$
$859$	−24.9704			−0.851980			−0.425990	+	0.904728i	$0.640074\pi$
$860$	3.20801	+	1.32271i	0.109392	+	0.0451040i
$861$	−36.7958			−1.25400
$862$	8.05083	+	14.3017i	0.274212	+	0.487117i
$863$	21.9784	+	21.9784i	0.748152	+	0.748152i	0.974132	−	0.225980i	$-0.0725584\pi$
$863$	21.9784	+	21.9784i	0.748152	+	0.748152i	−0.225980	+	0.974132i	$0.572558\pi$
$864$	−30.0089	+	6.31405i	−1.02092	+	0.214808i
$865$	−8.65665	+	1.34633i	−0.294335	+	0.0457766i
$866$	3.97016	−	14.1969i	0.134911	−	0.482431i
$867$	−0.483319	−	0.483319i	−0.0164144	−	0.0164144i
$868$	−8.77054	−	35.8346i	−0.297692	−	1.21631i
$869$	−45.0209			−1.52723
$870$	4.54705	+	5.77483i	0.154159	+	0.195785i
$871$	−3.84233	−	18.9248i	−0.130192	−	0.641242i
$872$	−18.6135	−	0.607967i	−0.630332	−	0.0205884i
$873$	5.92127	−	5.92127i	0.200405	−	0.200405i
$874$	6.53089	−	23.3539i	0.220911	−	0.789958i
$875$	−41.6059	+	20.7625i	−1.40654	+	0.701900i
$876$	11.9117	+	7.22739i	0.402459	+	0.244191i
$877$	9.98299	+	9.98299i	0.337102	+	0.337102i	0.855275	−	0.518174i	$-0.173388\pi$
$877$	9.98299	+	9.98299i	0.337102	+	0.337102i	−0.518174	+	0.855275i	$0.673388\pi$
$878$	8.60175	+	15.2804i	0.290295	+	0.515687i
$879$			18.5562i			0.625884i
$880$	30.0746	+	4.57747i	1.01381	+	0.154307i
$881$	44.8852			1.51222			0.756111	−	0.654443i	$-0.227097\pi$
$881$	44.8852			1.51222			0.756111	+	0.654443i	$0.227097\pi$
$882$	−11.6283	−	20.6567i	−0.391544	−	0.695548i
$883$	−16.4821	+	16.4821i	−0.554666	+	0.554666i	−0.927784	−	0.373118i	$-0.878289\pi$
$883$	−16.4821	+	16.4821i	−0.554666	+	0.554666i	0.373118	+	0.927784i	$0.378289\pi$
$884$	28.4557	+	10.2280i	0.957070	+	0.344007i
$885$	−15.8929	+	2.47176i	−0.534235	+	0.0830873i
$886$	−14.3167	−	4.00364i	−0.480978	−	0.134505i
$887$	−30.6655	−	30.6655i	−1.02965	−	1.02965i	−0.999547	−	0.0300985i	$-0.990418\pi$
$887$	−30.6655	−	30.6655i	−1.02965	−	1.02965i	−0.0300985	−	0.999547i	$-0.509582\pi$
$888$	8.83990	+	0.288735i	0.296647	+	0.00968931i
$889$	20.9029			0.701060
$890$	55.2547	+	6.57253i	1.85214	+	0.220312i
$891$	4.98852			0.167122
$892$	−20.6249	+	5.04797i	−0.690574	+	0.169018i
$893$	−40.9575	−	40.9575i	−1.37059	−	1.37059i
$894$	−20.9837	−	5.86807i	−0.701800	−	0.196258i
$895$	−12.0762	+	16.5243i	−0.403664	+	0.552348i
$896$	44.3914	+	15.6023i	1.48301	+	0.521236i
$897$	−8.23311	−	5.45416i	−0.274895	−	0.182109i
$898$	−14.4530	−	25.6746i	−0.482302	−	0.856772i
$899$			8.80054i			0.293514i
$900$	−3.81856	+	15.8240i	−0.127285	+	0.527468i
$901$	2.59311			0.0863889
$902$	31.6575	−	17.8209i	1.05408	−	0.593371i
$903$	−2.67295	−	2.67295i	−0.0889501	−	0.0889501i
$904$	23.0354	+	24.5910i	0.766145	+	0.817883i
$905$	−15.3148	+	20.9559i	−0.509082	+	0.696596i
$906$	1.87289	+	0.523751i	0.0622225	+	0.0174005i
$907$	−21.6975	−	21.6975i	−0.720453	−	0.720453i	0.248244	−	0.968697i	$-0.420146\pi$
$907$	−21.6975	−	21.6975i	−0.720453	−	0.720453i	−0.968697	+	0.248244i	$0.920146\pi$
$908$	−8.03979	−	32.8489i	−0.266810	−	1.09013i
$909$			3.53099i			0.117115i
$910$	−3.88006	−	47.2606i	−0.128623	−	1.56667i
$911$			27.2309i			0.902201i	0.892473	+	0.451100i	$0.148968\pi$
$911$			27.2309i			0.902201i	−0.892473	+	0.451100i	$0.851032\pi$
$912$	−10.3293	+	32.7715i	−0.342036	+	1.08517i
$913$	2.34005	+	2.34005i	0.0774444	+	0.0774444i
$914$	−11.5818	+	41.4154i	−0.383091	+	1.36990i
$915$	3.26989	+	21.0247i	0.108099	+	0.695057i
$916$	1.99133	−	3.28198i	0.0657956	−	0.108440i
$917$	−32.1779	−	32.1779i	−1.06261	−	1.06261i
$918$	15.7699	+	28.0140i	0.520483	+	0.924599i
$919$	−54.2372			−1.78912			−0.894559	−	0.446949i	$-0.852511\pi$
$919$	−54.2372			−1.78912			−0.894559	+	0.446949i	$0.852511\pi$
$920$	−1.79443	−	14.6793i	−0.0591606	−	0.483963i
$921$		−	28.7625i		−	0.947758i
$922$	−0.664728	+	0.374194i	−0.0218916	+	0.0123234i
$923$	17.7228	−	26.7527i	0.583353	−	0.880577i
$924$	−28.3324	−	17.1906i	−0.932067	−	0.565530i
$925$	6.12589	−	11.8587i	0.201418	−	0.389911i
$926$	−9.56817	+	34.2150i	−0.314430	+	1.12437i
$927$	21.6812	+	21.6812i	0.712105	+	0.712105i
$928$	−9.40101	−	6.13264i	−0.308603	−	0.201314i
$929$	28.8893			0.947826			0.473913	−	0.880572i	$-0.342841\pi$
$929$	28.8893			0.947826			0.473913	+	0.880572i	$0.342841\pi$
$930$	12.9083	−	10.1639i	0.423280	−	0.333286i
$931$	−75.5112			−2.47478
$932$	51.5237	−	12.6105i	1.68771	−	0.413069i
$933$	−3.67853	−	3.67853i	−0.120430	−	0.120430i
$934$	−1.99352	+	7.12867i	−0.0652301	+	0.233257i
$935$	−4.90092	−	31.5120i	−0.160277	−	1.03055i
$936$	−13.5327	−	9.61499i	−0.442329	−	0.314276i
$937$	−10.0842	+	10.0842i	−0.329438	+	0.329438i	−0.852373	−	0.522935i	$-0.824837\pi$
$937$	−10.0842	+	10.0842i	−0.329438	+	0.329438i	0.522935	+	0.852373i	$0.324837\pi$
$938$	−27.4510	+	15.4529i	−0.896306	+	0.504556i
$939$	−1.59204			−0.0519541
$940$	−32.6567	−	13.4648i	−1.06514	−	0.439174i
$941$		−	14.1759i		−	0.462120i	−0.972940	−	0.231060i	$-0.925781\pi$
$941$		−	14.1759i		−	0.462120i	0.972940	−	0.231060i	$-0.0742194\pi$
$942$	1.01851	−	0.573347i	0.0331848	−	0.0186807i
$943$	−12.4879	−	12.4879i	−0.406662	−	0.406662i
$944$	21.7857	−	11.3436i	0.709063	−	0.369204i
$945$	29.7464	−	40.7031i	0.967650	−	1.32407i
$946$	3.59424	+	1.00512i	0.116859	+	0.0326794i
$947$	2.31797	−	2.31797i	0.0753238	−	0.0753238i	−0.668441	−	0.743765i	$-0.733038\pi$
$947$	2.31797	−	2.31797i	0.0753238	−	0.0753238i	0.743765	+	0.668441i	$0.233038\pi$
$948$	−7.37244	−	30.1223i	−0.239446	−	0.978326i
$949$	4.26646	+	21.0138i	0.138495	+	0.682136i
$950$	37.9587	+	35.3269i	1.23154	+	1.14615i
$951$	12.9492			0.419906
$952$	1.61029	−	49.3006i	0.0521899	−	1.59784i
$953$	−4.60082	−	4.60082i	−0.149035	−	0.149035i	0.628652	−	0.777687i	$-0.283607\pi$
$953$	−4.60082	−	4.60082i	−0.149035	−	0.149035i	−0.777687	+	0.628652i	$0.783607\pi$
$954$	−1.37101	−	0.383401i	−0.0443880	−	0.0124131i
$955$	23.0166	+	16.8208i	0.744799	+	0.544310i
$956$	−30.8893	−	18.7420i	−0.999033	−	0.606161i
$957$	5.58995	+	5.58995i	0.180697	+	0.180697i
$958$	−21.2373	+	11.9551i	−0.686147	+	0.386252i
$959$	4.64080			0.149859
$960$	1.86224	+	20.8717i	0.0601034	+	0.673631i
$961$	−11.3284			−0.365433
$962$	8.90381	+	10.2958i	0.287070	+	0.331950i
$963$	−6.97587	+	6.97587i	−0.224794	+	0.224794i
$964$	−30.9665	−	18.7889i	−0.997364	−	0.605148i
$965$	−4.19930	−	27.0007i	−0.135180	−	0.869183i
$966$	−4.33876	+	15.5150i	−0.139597	+	0.499188i
$967$	−11.1112	+	11.1112i	−0.357311	+	0.357311i	−0.862821	−	0.505510i	$-0.831304\pi$
$967$	−11.1112	+	11.1112i	−0.357311	+	0.357311i	0.505510	+	0.862821i	$0.331304\pi$
$968$	1.60553	+	0.0524408i	0.0516035	+	0.00168551i
$969$	36.0210			1.15716
$970$	−10.0637	−	12.7811i	−0.323125	−	0.410375i
$971$		−	4.15527i		−	0.133349i	−0.997775	−	0.0666745i	$-0.978761\pi$
$971$		−	4.15527i		−	0.133349i	0.997775	−	0.0666745i	$-0.0212389\pi$
$972$	−6.91567	−	28.2560i	−0.221820	−	0.906311i
$973$	−42.9413	+	42.9413i	−1.37664	+	1.37664i
$974$	−40.6785	−	11.3757i	−1.30342	−	0.364501i
$975$	18.4418	−	10.2887i	0.590610	−	0.329501i
$976$	−15.0065	−	28.8202i	−0.480346	−	0.922513i
$977$	−34.3076	−	34.3076i	−1.09760	−	1.09760i	−0.994691	−	0.102905i	$-0.967186\pi$
$977$	−34.3076	−	34.3076i	−1.09760	−	1.09760i	−0.102905	−	0.994691i	$-0.532814\pi$
$978$	7.50431	+	13.3308i	0.239961	+	0.426273i
$979$	59.8477			1.91274
$980$	−42.5159	+	17.6915i	−1.35812	+	0.565135i
$981$		−	10.7182i		−	0.342206i
$982$	−20.6910	+	11.6475i	−0.660275	+	0.371688i
$983$	−17.3327	−	17.3327i	−0.552827	−	0.552827i	0.374429	−	0.927256i	$-0.377839\pi$
$983$	−17.3327	−	17.3327i	−0.552827	−	0.552827i	−0.927256	+	0.374429i	$0.877839\pi$
$984$	17.1076	+	18.2629i	0.545370	+	0.582200i
$985$	−19.5229	+	3.03631i	−0.622051	+	0.0967449i
$986$	−3.16899	+	11.3320i	−0.100921	+	0.360885i
$987$	27.2099	+	27.2099i	0.866100	+	0.866100i
$988$	−47.8365	+	22.5404i	−1.52188	+	0.717106i
$989$		−	1.81431i		−	0.0576917i
$990$	−2.06799	+	17.3854i	−0.0657251	+	0.552545i
$991$			52.6971i			1.67398i	0.547220	+	0.836989i	$0.315686\pi$
$991$			52.6971i			1.67398i	−0.547220	+	0.836989i	$0.684314\pi$
$992$	−13.7081	+	21.0138i	−0.435232	+	0.667188i
$993$	2.32296	−	2.32296i	0.0737168	−	0.0737168i
$994$	−50.4147	−	14.0984i	−1.59906	−	0.447174i
$995$	8.06625	−	11.0374i	0.255717	−	0.349908i
$996$	−1.18247	+	1.94886i	−0.0374679	+	0.0617521i
$997$	29.6613	−	29.6613i	0.939384	−	0.939384i	−0.0588813	−	0.998265i	$-0.518753\pi$
$997$	29.6613	−	29.6613i	0.939384	−	0.939384i	0.998265	+	0.0588813i	$0.0187533\pi$
$998$	−41.7271	+	23.4894i	−1.32085	+	0.743544i
$999$			14.4714i			0.457855i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.p.d.103.11	yes	64
4.3	odd	2	inner	260.2.p.d.103.6	✓	64
5.2	odd	4	inner	260.2.p.d.207.27	yes	64
13.12	even	2	inner	260.2.p.d.103.22	yes	64
20.7	even	4	inner	260.2.p.d.207.22	yes	64
52.51	odd	2	inner	260.2.p.d.103.27	yes	64
65.12	odd	4	inner	260.2.p.d.207.6	yes	64
260.207	even	4	inner	260.2.p.d.207.11	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.p.d.103.6	✓	64	4.3	odd	2	inner
260.2.p.d.103.11	yes	64	1.1	even	1	trivial
260.2.p.d.103.22	yes	64	13.12	even	2	inner
260.2.p.d.103.27	yes	64	52.51	odd	2	inner
260.2.p.d.207.6	yes	64	65.12	odd	4	inner
260.2.p.d.207.11	yes	64	260.207	even	4	inner
260.2.p.d.207.22	yes	64	20.7	even	4	inner
260.2.p.d.207.27	yes	64	5.2	odd	4	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.p (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.693735 - 1.23237i) q^{2} +(0.828304 - 0.828304i) q^{3} +(-1.03746 + 1.70987i) q^{4} +(-1.31937 + 1.80534i) q^{5} +(-1.59540 - 0.446152i) q^{6} +(-2.94084 + 2.94084i) q^{7} +(2.82692 + 0.0923349i) q^{8} +1.62783i q^{9} +O(q^{10})\)	\(q+(-0.693735 - 1.23237i) q^{2} +(0.828304 - 0.828304i) q^{3} +(-1.03746 + 1.70987i) q^{4} +(-1.31937 + 1.80534i) q^{5} +(-1.59540 - 0.446152i) q^{6} +(-2.94084 + 2.94084i) q^{7} +(2.82692 + 0.0923349i) q^{8} +1.62783i q^{9} +(3.14014 + 0.373519i) q^{10} +3.40117 q^{11} +(0.556962 + 2.27563i) q^{12} +(-1.99125 + 3.00581i) q^{13} +(5.66436 + 1.58403i) q^{14} +(0.402533 + 2.58821i) q^{15} +(-1.84734 - 3.54786i) q^{16} +(-2.96509 + 2.96509i) q^{17} +(2.00608 - 1.12928i) q^{18} -7.33328i q^{19} +(-1.71811 - 4.12893i) q^{20} +4.87182i q^{21} +(-2.35951 - 4.19149i) q^{22} +(-1.65342 + 1.65342i) q^{23} +(2.41803 - 2.26507i) q^{24} +(-1.51853 - 4.76383i) q^{25} +(5.08567 + 0.368715i) q^{26} +(3.83325 + 3.83325i) q^{27} +(-1.97746 - 8.07948i) q^{28} +1.98422i q^{29} +(2.91038 - 2.29160i) q^{30} +4.43526 q^{31} +(-3.09070 + 4.73788i) q^{32} +(2.81720 - 2.81720i) q^{33} +(5.71107 + 1.59709i) q^{34} +(-1.42917 - 9.18928i) q^{35} +(-2.78338 - 1.68881i) q^{36} +(1.88762 + 1.88762i) q^{37} +(-9.03730 + 5.08735i) q^{38} +(0.840366 + 4.13909i) q^{39} +(-3.89645 + 4.98174i) q^{40} +7.55280i q^{41} +(6.00387 - 3.37975i) q^{42} +(-0.548655 + 0.548655i) q^{43} +(-3.52858 + 5.81557i) q^{44} +(-2.93878 - 2.14770i) q^{45} +(3.18465 + 0.890583i) q^{46} +(5.58516 - 5.58516i) q^{47} +(-4.46887 - 1.40855i) q^{48} -10.2971i q^{49} +(-4.81734 + 5.17622i) q^{50} +4.91199i q^{51} +(-3.07372 - 6.52321i) q^{52} +(-0.437273 - 0.437273i) q^{53} +(2.06471 - 7.38323i) q^{54} +(-4.48740 + 6.14027i) q^{55} +(-8.58506 + 8.04197i) q^{56} +(-6.07418 - 6.07418i) q^{57} +(2.44529 - 1.37652i) q^{58} +6.14051i q^{59} +(-4.84313 - 1.99689i) q^{60} +8.12327 q^{61} +(-3.07690 - 5.46588i) q^{62} +(-4.78717 - 4.78717i) q^{63} +(7.98295 + 0.522046i) q^{64} +(-2.79933 - 7.56067i) q^{65} +(-5.42622 - 1.51744i) q^{66} +(-3.78718 + 3.78718i) q^{67} +(-1.99376 - 8.14610i) q^{68} +2.73906i q^{69} +(-10.3331 + 8.13619i) q^{70} -8.90033 q^{71} +(-0.150305 + 4.60173i) q^{72} +(4.20522 - 4.20522i) q^{73} +(1.01673 - 3.63575i) q^{74} +(-5.20370 - 2.68810i) q^{75} +(12.5390 + 7.60800i) q^{76} +(-10.0023 + 10.0023i) q^{77} +(4.51789 - 3.90707i) q^{78} -13.2369 q^{79} +(8.84244 + 1.34585i) q^{80} +1.46671 q^{81} +(9.30783 - 5.23964i) q^{82} +(0.688014 + 0.688014i) q^{83} +(-8.33020 - 5.05433i) q^{84} +(-1.44095 - 9.26505i) q^{85} +(1.05677 + 0.295523i) q^{86} +(1.64354 + 1.64354i) q^{87} +(9.61483 + 0.314046i) q^{88} +17.5962 q^{89} +(-0.608024 + 5.11160i) q^{90} +(-2.98367 - 14.6956i) q^{91} +(-1.11178 - 4.54249i) q^{92} +(3.67375 - 3.67375i) q^{93} +(-10.7576 - 3.00835i) q^{94} +(13.2391 + 9.67530i) q^{95} +(1.36437 + 6.48445i) q^{96} +(-3.63754 - 3.63754i) q^{97} +(-12.6898 + 7.14344i) q^{98} +5.53651i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q+O(q^{10}) \) 64 * q	\( 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) \) 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

Introduction

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