LMFDB - Embedded newform 260.2.o.a.183.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(27,260)]

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, 1, 0]))

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

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

chi := DirichletCharacter("260.27");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.o (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:	$72$
Relative dimension:	$36$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			183.9
Character	$\chi$	$=$	260.183
Dual form			260.2.o.a.27.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.08734 - 0.904262i) q^{2} +(1.78782 - 1.78782i) q^{3} +(0.364619 + 1.96648i) q^{4} +(-1.34049 - 1.78972i) q^{5} +(-3.56063 + 0.327311i) q^{6} +(2.34459 + 2.34459i) q^{7} +(1.38175 - 2.46795i) q^{8} -3.39260i q^{9} +O(q^{10})$	\(q+(-1.08734 - 0.904262i) q^{2} +(1.78782 - 1.78782i) q^{3} +(0.364619 + 1.96648i) q^{4} +(-1.34049 - 1.78972i) q^{5} +(-3.56063 + 0.327311i) q^{6} +(2.34459 + 2.34459i) q^{7} +(1.38175 - 2.46795i) q^{8} -3.39260i q^{9} +(-0.160802 + 3.15819i) q^{10} -5.90452i q^{11} +(4.16759 + 2.86384i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(-0.429245 - 4.66950i) q^{14} +(-5.59625 - 0.803133i) q^{15} +(-3.73411 + 1.43404i) q^{16} +(-0.975710 + 0.975710i) q^{17} +(-3.06780 + 3.68891i) q^{18} +2.12103 q^{19} +(3.03068 - 3.28862i) q^{20} +8.38342 q^{21} +(-5.33924 + 6.42023i) q^{22} +(-3.10133 + 3.10133i) q^{23} +(-1.94193 - 6.88257i) q^{24} +(-1.40617 + 4.79820i) q^{25} +(0.129456 + 1.40828i) q^{26} +(-0.701895 - 0.701895i) q^{27} +(-3.75572 + 5.46549i) q^{28} +5.56185i q^{29} +(5.35878 + 5.93375i) q^{30} -7.23441i q^{31} +(5.35699 + 1.81733i) q^{32} +(-10.5562 - 10.5562i) q^{33} +(1.94323 - 0.178631i) q^{34} +(1.05325 - 7.33907i) q^{35} +(6.67149 - 1.23701i) q^{36} +(-2.19333 + 2.19333i) q^{37} +(-2.30628 - 1.91796i) q^{38} -2.52836 q^{39} +(-6.26915 + 0.835322i) q^{40} -0.538879 q^{41} +(-9.11564 - 7.58081i) q^{42} +(5.78842 - 5.78842i) q^{43} +(11.6111 - 2.15290i) q^{44} +(-6.07179 + 4.54775i) q^{45} +(6.17662 - 0.567787i) q^{46} +(3.98616 + 3.98616i) q^{47} +(-4.11211 + 9.23970i) q^{48} +3.99424i q^{49} +(5.86781 - 3.94573i) q^{50} +3.48879i q^{51} +(1.13269 - 1.64834i) q^{52} +(7.09286 + 7.09286i) q^{53} +(0.128502 + 1.39790i) q^{54} +(-10.5674 + 7.91496i) q^{55} +(9.02598 - 2.54669i) q^{56} +(3.79201 - 3.79201i) q^{57} +(5.02937 - 6.04762i) q^{58} -3.05954 q^{59} +(-0.461154 - 11.2978i) q^{60} +8.82521 q^{61} +(-6.54180 + 7.86626i) q^{62} +(7.95427 - 7.95427i) q^{63} +(-4.18153 - 6.82017i) q^{64} +(-0.317650 + 2.21339i) q^{65} +(1.93262 + 21.0238i) q^{66} +(2.58148 + 2.58148i) q^{67} +(-2.27448 - 1.56295i) q^{68} +11.0892i q^{69} +(-7.78168 + 7.02765i) q^{70} +8.53161i q^{71} +(-8.37276 - 4.68772i) q^{72} +(2.76749 + 2.76749i) q^{73} +(4.36825 - 0.401552i) q^{74} +(6.06434 + 11.0923i) q^{75} +(0.773367 + 4.17096i) q^{76} +(13.8437 - 13.8437i) q^{77} +(2.74919 + 2.28630i) q^{78} +7.02598 q^{79} +(7.57205 + 4.76068i) q^{80} +7.66807 q^{81} +(0.585945 + 0.487288i) q^{82} +(-6.93558 + 6.93558i) q^{83} +(3.05676 + 16.4859i) q^{84} +(3.05417 + 0.438313i) q^{85} +(-11.5282 + 1.05974i) q^{86} +(9.94358 + 9.94358i) q^{87} +(-14.5721 - 8.15857i) q^{88} -9.42448i q^{89} +(10.7145 + 0.545537i) q^{90} -3.31576i q^{91} +(-7.22952 - 4.96791i) q^{92} +(-12.9338 - 12.9338i) q^{93} +(-0.729780 - 7.93885i) q^{94} +(-2.84322 - 3.79603i) q^{95} +(12.8264 - 6.32828i) q^{96} +(-11.8148 + 11.8148i) q^{97} +(3.61184 - 4.34310i) q^{98} -20.0317 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) $ 72 * q - 8 * q^6 - 12 * q^8	$ 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) $ 72 * q - 8 * q^6 - 12 * q^8 - 8 * q^10 - 8 * q^12 - 8 * q^16 + 28 * q^18 - 16 * q^21 - 8 * q^22 - 20 * q^28 - 32 * q^30 - 40 * q^32 + 16 * q^33 + 32 * q^36 - 12 * q^38 - 8 * q^40 - 40 * q^42 - 8 * q^46 + 60 * q^48 + 40 * q^50 + 8 * q^52 - 48 * q^53 + 8 * q^56 - 60 * q^58 + 20 * q^60 - 64 * q^61 + 60 * q^62 + 8 * q^66 - 16 * q^68 - 60 * q^70 + 40 * q^72 - 16 * q^73 - 72 * q^76 + 48 * q^77 - 20 * q^80 + 8 * q^81 - 12 * q^82 + 48 * q^85 + 48 * q^86 + 12 * q^88 + 44 * q^90 - 36 * q^92 + 16 * q^93 + 32 * q^96 - 80 * q^97 - 32 * q^98

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 $

$2$	−1.08734	−	0.904262i	−0.768866	−	0.639410i
$2$	−1.08734	−	0.904262i	−0.768866	−	0.639410i
$3$	1.78782	−	1.78782i	1.03220	−	1.03220i	0.0327341	−	0.999464i	$-0.489579\pi$
$3$	1.78782	−	1.78782i	1.03220	−	1.03220i	0.999464	−	0.0327341i	$-0.0104214\pi$
$4$	0.364619	+	1.96648i	0.182310	+	0.983241i
$5$	−1.34049	−	1.78972i	−0.599486	−	0.800385i
$5$	−1.34049	−	1.78972i	−0.599486	−	0.800385i
$6$	−3.56063	+	0.327311i	−1.45362	+	0.133624i
$7$	2.34459	+	2.34459i	0.886173	+	0.886173i	0.994153	−	0.107980i	$-0.0344382\pi$
$7$	2.34459	+	2.34459i	0.886173	+	0.886173i	−0.107980	+	0.994153i	$0.534438\pi$
$8$	1.38175	−	2.46795i	0.488522	−	0.872551i
$9$		−	3.39260i		−	1.13087i
$10$	−0.160802	+	3.15819i	−0.0508501	+	0.998706i
$11$		−	5.90452i		−	1.78028i	−0.455687	−	0.890140i	$-0.650606\pi$
$11$		−	5.90452i		−	1.78028i	0.455687	−	0.890140i	$-0.349394\pi$
$12$	4.16759	+	2.86384i	1.20308	+	0.826720i
$13$	−0.707107	−	0.707107i	−0.196116	−	0.196116i
$13$	−0.707107	−	0.707107i	−0.196116	−	0.196116i
$14$	−0.429245	−	4.66950i	−0.114720	−	1.24798i
$15$	−5.59625	−	0.803133i	−1.44494	−	0.207368i
$16$	−3.73411	+	1.43404i	−0.933526	+	0.358509i
$17$	−0.975710	+	0.975710i	−0.236644	+	0.236644i	−0.815459	−	0.578815i	$-0.803515\pi$
$17$	−0.975710	+	0.975710i	−0.236644	+	0.236644i	0.578815	+	0.815459i	$0.303515\pi$
$18$	−3.06780	+	3.68891i	−0.723087	+	0.869485i
$19$	2.12103			0.486597			0.243298	−	0.969952i	$-0.421771\pi$
$19$	2.12103			0.486597			0.243298	+	0.969952i	$0.421771\pi$
$20$	3.03068	−	3.28862i	0.677680	−	0.735357i
$21$	8.38342			1.82941
$22$	−5.33924	+	6.42023i	−1.13833	+	1.36880i
$23$	−3.10133	+	3.10133i	−0.646673	+	0.646673i	−0.952187	−	0.305515i	$-0.901171\pi$
$23$	−3.10133	+	3.10133i	−0.646673	+	0.646673i	0.305515	+	0.952187i	$0.401171\pi$
$24$	−1.94193	−	6.88257i	−0.396394	−	1.40490i
$25$	−1.40617	+	4.79820i	−0.281233	+	0.959639i
$26$	0.129456	+	1.40828i	0.0253884	+	0.276186i
$27$	−0.701895	−	0.701895i	−0.135080	−	0.135080i
$28$	−3.75572	+	5.46549i	−0.709764	+	1.03288i
$29$			5.56185i			1.03281i	0.856345	+	0.516405i	$0.172730\pi$
$29$			5.56185i			1.03281i	−0.856345	+	0.516405i	$0.827270\pi$
$30$	5.35878	+	5.93375i	0.978375	+	1.08335i
$31$		−	7.23441i		−	1.29934i	−0.760217	−	0.649669i	$-0.774908\pi$
$31$		−	7.23441i		−	1.29934i	0.760217	−	0.649669i	$-0.225092\pi$
$32$	5.35699	+	1.81733i	0.946991	+	0.321261i
$33$	−10.5562	−	10.5562i	−1.83760	−	1.83760i
$34$	1.94323	−	0.178631i	0.333261	−	0.0306350i
$35$	1.05325	−	7.33907i	0.178032	−	1.24053i
$36$	6.67149	−	1.23701i	1.11191	−	0.206168i
$37$	−2.19333	+	2.19333i	−0.360582	+	0.360582i	−0.864027	−	0.503445i	$-0.832066\pi$
$37$	−2.19333	+	2.19333i	−0.360582	+	0.360582i	0.503445	+	0.864027i	$0.332066\pi$
$38$	−2.30628	−	1.91796i	−0.374128	−	0.311135i
$39$	−2.52836			−0.404861
$40$	−6.26915	+	0.835322i	−0.991240	+	0.132076i
$41$	−0.538879			−0.0841588			−0.0420794	−	0.999114i	$-0.513398\pi$
$41$	−0.538879			−0.0841588			−0.0420794	+	0.999114i	$0.513398\pi$
$42$	−9.11564	−	7.58081i	−1.40657	−	1.16974i
$43$	5.78842	−	5.78842i	0.882726	−	0.882726i	−0.111085	−	0.993811i	$-0.535432\pi$
$43$	5.78842	−	5.78842i	0.882726	−	0.882726i	0.993811	+	0.111085i	$0.0354325\pi$
$44$	11.6111	−	2.15290i	1.75044	−	0.324562i
$45$	−6.07179	+	4.54775i	−0.905129	+	0.677938i
$46$	6.17662	−	0.567787i	0.910693	−	0.0837156i
$47$	3.98616	+	3.98616i	0.581441	+	0.581441i	0.935299	−	0.353858i	$-0.115130\pi$
$47$	3.98616	+	3.98616i	0.581441	+	0.581441i	−0.353858	+	0.935299i	$0.615130\pi$
$48$	−4.11211	+	9.23970i	−0.593532	+	1.33364i
$49$			3.99424i			0.570606i
$50$	5.86781	−	3.94573i	0.829834	−	0.558011i
$51$			3.48879i			0.488528i
$52$	1.13269	−	1.64834i	0.157076	−	0.228583i
$53$	7.09286	+	7.09286i	0.974279	+	0.974279i	0.999677	−	0.0253982i	$-0.00808537\pi$
$53$	7.09286	+	7.09286i	0.974279	+	0.974279i	−0.0253982	+	0.999677i	$0.508085\pi$
$54$	0.128502	+	1.39790i	0.0174869	+	0.190230i
$55$	−10.5674	+	7.91496i	−1.42491	+	1.06725i
$56$	9.02598	−	2.54669i	1.20615	−	0.340316i
$57$	3.79201	−	3.79201i	0.502264	−	0.502264i
$58$	5.02937	−	6.04762i	0.660388	−	0.794092i
$59$	−3.05954			−0.398319			−0.199159	−	0.979967i	$-0.563821\pi$
$59$	−3.05954			−0.398319			−0.199159	+	0.979967i	$0.563821\pi$
$60$	−0.461154	−	11.2978i	−0.0595347	−	1.45853i
$61$	8.82521			1.12995			0.564976	−	0.825107i	$-0.308885\pi$
$61$	8.82521			1.12995			0.564976	+	0.825107i	$0.308885\pi$
$62$	−6.54180	+	7.86626i	−0.830809	+	0.999016i
$63$	7.95427	−	7.95427i	1.00214	−	1.00214i
$64$	−4.18153	−	6.82017i	−0.522692	−	0.852522i
$65$	−0.317650	+	2.21339i	−0.0393996	+	0.274537i
$66$	1.93262	+	21.0238i	0.237889	+	2.58785i
$67$	2.58148	+	2.58148i	0.315378	+	0.315378i	0.846989	−	0.531611i	$-0.178413\pi$
$67$	2.58148	+	2.58148i	0.315378	+	0.315378i	−0.531611	+	0.846989i	$0.678413\pi$
$68$	−2.27448	−	1.56295i	−0.275821	−	0.189536i
$69$			11.0892i			1.33499i
$70$	−7.78168	+	7.02765i	−0.930089	+	0.839965i
$71$			8.53161i			1.01252i	0.862382	+	0.506258i	$0.168972\pi$
$71$			8.53161i			1.01252i	−0.862382	+	0.506258i	$0.831028\pi$
$72$	−8.37276	−	4.68772i	−0.986739	−	0.552454i
$73$	2.76749	+	2.76749i	0.323910	+	0.323910i	0.850265	−	0.526355i	$-0.176442\pi$
$73$	2.76749	+	2.76749i	0.323910	+	0.323910i	−0.526355	+	0.850265i	$0.676442\pi$
$74$	4.36825	−	0.401552i	0.507798	−	0.0466795i
$75$	6.06434	+	11.0923i	0.700250	+	1.28083i
$76$	0.773367	+	4.17096i	0.0887113	+	0.478442i
$77$	13.8437	−	13.8437i	1.57764	−	1.57764i
$78$	2.74919	+	2.28630i	0.311284	+	0.258872i
$79$	7.02598			0.790484			0.395242	−	0.918577i	$-0.370661\pi$
$79$	7.02598			0.790484			0.395242	+	0.918577i	$0.370661\pi$
$80$	7.57205	+	4.76068i	0.846581	+	0.532260i
$81$	7.66807			0.852008
$82$	0.585945	+	0.487288i	0.0647068	+	0.0538120i
$83$	−6.93558	+	6.93558i	−0.761279	+	0.761279i	−0.976554	−	0.215275i	$-0.930935\pi$
$83$	−6.93558	+	6.93558i	−0.761279	+	0.761279i	0.215275	+	0.976554i	$0.430935\pi$
$84$	3.05676	+	16.4859i	0.333520	+	1.79875i
$85$	3.05417	+	0.438313i	0.331272	+	0.0475417i
$86$	−11.5282	+	1.05974i	−1.24312	+	0.114274i
$87$	9.94358	+	9.94358i	1.06606	+	1.06606i
$88$	−14.5721	−	8.15857i	−1.55339	−	0.869707i
$89$		−	9.42448i		−	0.998993i	−0.866316	−	0.499496i	$-0.833518\pi$
$89$		−	9.42448i		−	0.998993i	0.866316	−	0.499496i	$-0.166482\pi$
$90$	10.7145	+	0.545537i	1.12940	+	0.0575046i
$91$		−	3.31576i		−	0.347586i
$92$	−7.22952	−	4.96791i	−0.753730	−	0.517940i
$93$	−12.9338	−	12.9338i	−1.34117	−	1.34117i
$94$	−0.729780	−	7.93885i	−0.0752710	−	0.818829i
$95$	−2.84322	−	3.79603i	−0.291708	−	0.389465i
$96$	12.8264	−	6.32828i	1.30909	−	0.645877i
$97$	−11.8148	+	11.8148i	−1.19961	+	1.19961i	−0.225322	+	0.974284i	$0.572343\pi$
$97$	−11.8148	+	11.8148i	−1.19961	+	1.19961i	−0.974284	+	0.225322i	$0.927657\pi$
$98$	3.61184	−	4.34310i	0.364851	−	0.438720i
$99$	−20.0317			−2.01326
$100$	−9.94829	−	1.01569i	−0.994829	−	0.101569i
$101$	−4.69937			−0.467605			−0.233803	−	0.972284i	$-0.575117\pi$
$101$	−4.69937			−0.467605			−0.233803	+	0.972284i	$0.575117\pi$
$102$	3.15478	−	3.79350i	0.312369	−	0.375612i
$103$	−0.855000	+	0.855000i	−0.0842456	+	0.0842456i	−0.747974	−	0.663728i	$-0.768973\pi$
$103$	−0.855000	+	0.855000i	−0.0842456	+	0.0842456i	0.663728	+	0.747974i	$0.268973\pi$
$104$	−2.72215	+	0.768058i	−0.266929	+	0.0753143i
$105$	−11.2379	−	15.0039i	−1.09671	−	1.46424i
$106$	−1.29855	−	14.1262i	−0.126126	−	1.37205i
$107$	−12.9913	−	12.9913i	−1.25591	−	1.25591i	−0.953026	−	0.302889i	$-0.902049\pi$
$107$	−12.9913	−	12.9913i	−1.25591	−	1.25591i	−0.302889	−	0.953026i	$-0.597951\pi$
$108$	1.12434	−	1.63619i	0.108190	−	0.157442i
$109$		−	2.62288i		−	0.251226i	−0.992079	−	0.125613i	$-0.959910\pi$
$109$		−	2.62288i		−	0.251226i	0.992079	−	0.125613i	$-0.0400898\pi$
$110$	18.6476	+	0.949459i	1.77798	+	0.0905273i
$111$			7.84257i			0.744383i
$112$	−12.1172	−	5.39273i	−1.14497	−	0.509565i
$113$	10.8980	+	10.8980i	1.02520	+	1.02520i	0.999674	+	0.0255277i	$0.00812660\pi$
$113$	10.8980	+	10.8980i	1.02520	+	1.02520i	0.0255277	+	0.999674i	$0.491873\pi$
$114$	−7.55218	+	0.694235i	−0.707326	+	0.0650211i
$115$	9.70781	+	1.39320i	0.905258	+	0.129916i
$116$	−10.9373	+	2.02796i	−1.01550	+	0.188291i
$117$	−2.39893	+	2.39893i	−0.221781	+	0.221781i
$118$	3.32677	+	2.76663i	0.306254	+	0.254689i
$119$	−4.57529			−0.419416
$120$	−9.71470	+	12.7015i	−0.886827	+	1.15948i
$121$	−23.8634			−2.16940
$122$	−9.59601	−	7.98031i	−0.868782	−	0.722503i
$123$	−0.963419	+	0.963419i	−0.0868685	+	0.0868685i
$124$	14.2263	−	2.63781i	1.27756	−	0.236882i
$125$	10.4724	−	3.91530i	0.936677	−	0.350195i
$126$	−15.8417	+	1.45625i	−1.41129	+	0.129733i
$127$	4.31384	+	4.31384i	0.382792	+	0.382792i	0.872107	−	0.489315i	$-0.162753\pi$
$127$	4.31384	+	4.31384i	0.382792	+	0.382792i	−0.489315	+	0.872107i	$0.662753\pi$
$128$	−1.62048	+	11.1971i	−0.143231	+	0.989689i
$129$		−	20.6973i		−	1.82230i
$130$	2.34688	−	2.11947i	0.205835	−	0.185890i
$131$		−	6.36243i		−	0.555888i	−0.960597	−	0.277944i	$-0.910347\pi$
$131$		−	6.36243i		−	0.555888i	0.960597	−	0.277944i	$-0.0896529\pi$
$132$	16.9096	−	24.6076i	1.47179	−	2.14182i
$133$	4.97294	+	4.97294i	0.431209	+	0.431209i
$134$	−0.472614	−	5.14129i	−0.0408276	−	0.444140i
$135$	−0.315309	+	2.19708i	−0.0271375	+	0.189094i
$136$	1.05981	+	3.75619i	0.0908783	+	0.322090i
$137$	−0.675923	+	0.675923i	−0.0577480	+	0.0577480i	−0.735391	−	0.677643i	$-0.763001\pi$
$137$	−0.675923	+	0.675923i	−0.0577480	+	0.0577480i	0.677643	+	0.735391i	$0.263001\pi$
$138$	10.0276	−	12.0578i	0.853605	−	1.02643i
$139$	−4.46061			−0.378344			−0.189172	−	0.981944i	$-0.560580\pi$
$139$	−4.46061			−0.378344			−0.189172	+	0.981944i	$0.560580\pi$
$140$	14.8162	−	0.604769i	1.25220	−	0.0511124i
$141$	14.2531			1.20032
$142$	7.71481	−	9.27677i	0.647413	−	0.778489i
$143$	−4.17513	+	4.17513i	−0.349142	+	0.349142i
$144$	4.86511	+	12.6683i	0.405426	+	1.05569i
$145$	9.95413	−	7.45561i	0.826645	−	0.619155i
$146$	−0.506668	−	5.51174i	−0.0419321	−	0.456155i
$147$	7.14099	+	7.14099i	0.588979	+	0.588979i
$148$	−5.11288	−	3.51342i	−0.420276	−	0.288801i
$149$		−	7.40369i		−	0.606534i	−0.952906	−	0.303267i	$-0.901923\pi$
$149$		−	7.40369i		−	0.606534i	0.952906	−	0.303267i	$-0.0980775\pi$
$150$	3.43633	−	17.5448i	0.280575	−	1.43253i
$151$			8.25499i			0.671782i	0.941901	+	0.335891i	$0.109037\pi$
$151$			8.25499i			0.671782i	−0.941901	+	0.335891i	$0.890963\pi$
$152$	2.93073	−	5.23458i	0.237713	−	0.424581i
$153$	3.31019	+	3.31019i	0.267613	+	0.267613i
$154$	−27.5712	+	2.53448i	−2.22175	+	0.204235i
$155$	−12.9475	+	9.69766i	−1.03997	+	0.778935i
$156$	−0.921889	−	4.97197i	−0.0738102	−	0.398076i
$157$	−14.4491	+	14.4491i	−1.15316	+	1.15316i	−0.167249	+	0.985915i	$0.553488\pi$
$157$	−14.4491	+	14.4491i	−1.15316	+	1.15316i	−0.985915	+	0.167249i	$0.946512\pi$
$158$	−7.63963	−	6.35333i	−0.607776	−	0.505444i
$159$	25.3615			2.01130
$160$	−3.92850	−	12.0236i	−0.310575	−	0.950549i
$161$	−14.5427			−1.14613
$162$	−8.33781	−	6.93395i	−0.655080	−	0.544782i
$163$	9.14075	−	9.14075i	0.715959	−	0.715959i	−0.251816	−	0.967775i	$-0.581028\pi$
$163$	9.14075	−	9.14075i	0.715959	−	0.715959i	0.967775	+	0.251816i	$0.0810278\pi$
$164$	−0.196486	−	1.05970i	−0.0153430	−	0.0827484i
$165$	−4.74212	+	33.0432i	−0.369173	+	2.57241i
$166$	13.8129	−	1.26976i	1.07209	−	0.0985521i
$167$	2.67668	+	2.67668i	0.207128	+	0.207128i	0.803046	−	0.595918i	$-0.203212\pi$
$167$	2.67668	+	2.67668i	0.207128	+	0.207128i	−0.595918	+	0.803046i	$0.703212\pi$
$168$	11.5838	−	20.6899i	0.893709	−	1.59626i
$169$			1.00000i			0.0769231i
$170$	−2.92458	−	3.23837i	−0.224305	−	0.248372i
$171$		−	7.19579i		−	0.550276i
$172$	13.4934	+	9.27226i	1.02886	+	0.707003i
$173$	−4.31314	−	4.31314i	−0.327922	−	0.327922i	0.523874	−	0.851796i	$-0.324486\pi$
$173$	−4.31314	−	4.31314i	−0.327922	−	0.327922i	−0.851796	+	0.523874i	$0.824486\pi$
$174$	−1.82045	−	19.8037i	−0.138008	−	1.50131i
$175$	−14.5467	+	7.95294i	−1.09963	+	0.601185i
$176$	8.46729	+	22.0481i	0.638246	+	1.66194i
$177$	−5.46991	+	5.46991i	−0.411144	+	0.411144i
$178$	−8.52220	+	10.2476i	−0.638766	+	0.768092i
$179$	10.4807			0.783364			0.391682	−	0.920101i	$-0.371893\pi$
$179$	10.4807			0.783364			0.391682	+	0.920101i	$0.371893\pi$
$180$	−11.1570	−	10.2819i	−0.831591	−	0.766365i
$181$	−15.5219			−1.15374			−0.576868	−	0.816837i	$-0.695725\pi$
$181$	−15.5219			−1.15374			−0.576868	+	0.816837i	$0.695725\pi$
$182$	−2.99831	+	3.60536i	−0.222250	+	0.267247i
$183$	15.7779	−	15.7779i	1.16633	−	1.16633i
$184$	3.36866	+	11.9392i	0.248341	+	0.880169i
$185$	6.86559	+	0.985299i	0.504768	+	0.0724406i
$186$	2.36790	+	25.7590i	0.173623	+	1.88874i
$187$	5.76110	+	5.76110i	0.421293	+	0.421293i
$188$	−6.38528	+	9.29214i	−0.465694	+	0.677699i
$189$		−	3.29132i		−	0.239408i
$190$	−0.341065	+	6.69859i	−0.0247435	+	0.485967i
$191$		−	13.2435i		−	0.958268i	−0.877742	−	0.479134i	$-0.840951\pi$
$191$		−	13.2435i		−	0.958268i	0.877742	−	0.479134i	$-0.159049\pi$
$192$	−19.6691	−	4.71742i	−1.41949	−	0.340450i
$193$	−14.6402	−	14.6402i	−1.05383	−	1.05383i	−0.998466	−	0.0553595i	$-0.982370\pi$
$193$	−14.6402	−	14.6402i	−1.05383	−	1.05383i	−0.0553595	−	0.998466i	$-0.517630\pi$
$194$	23.5303	−	2.16303i	1.68938	−	0.155296i
$195$	3.38924	+	4.52504i	0.242709	+	0.324045i
$196$	−7.85461	+	1.45638i	−0.561044	+	0.104027i
$197$	−17.4045	+	17.4045i	−1.24002	+	1.24002i	−0.280030	+	0.959991i	$0.590344\pi$
$197$	−17.4045	+	17.4045i	−1.24002	+	1.24002i	−0.959991	+	0.280030i	$0.909656\pi$
$198$	21.7813	+	18.1139i	1.54793	+	1.28730i
$199$	−26.2930			−1.86386			−0.931930	−	0.362639i	$-0.881876\pi$
$199$	−26.2930			−1.86386			−0.931930	+	0.362639i	$0.881876\pi$
$200$	9.89873	+	10.1003i	0.699946	+	0.714196i
$201$	9.23045			0.651066
$202$	5.10982	+	4.24947i	0.359526	+	0.298991i
$203$	−13.0403	+	13.0403i	−0.915248	+	0.915248i
$204$	−6.86064	+	1.27208i	−0.480341	+	0.0890634i
$205$	0.722363	+	0.964440i	0.0504520	+	0.0673594i
$206$	1.70282	−	0.156532i	0.118641	−	0.0109061i
$207$	10.5216	+	10.5216i	0.731300	+	0.731300i
$208$	3.65443	+	1.62639i	0.253389	+	0.112770i
$209$		−	12.5236i		−	0.866278i
$210$	−1.34807	+	26.4764i	−0.0930258	+	1.82705i
$211$			6.67079i			0.459236i	0.973281	+	0.229618i	$0.0737477\pi$
$211$			6.67079i			0.459236i	−0.973281	+	0.229618i	$0.926252\pi$
$212$	−11.3618	+	16.5342i	−0.780331	+	1.13557i
$213$	15.2530	+	15.2530i	1.04512	+	1.04512i
$214$	2.37842	+	25.8735i	0.162586	+	1.76867i
$215$	−18.1190	−	2.60030i	−1.23570	−	0.177339i
$216$	−2.70209	+	0.762397i	−0.183854	+	0.0518746i
$217$	16.9617	−	16.9617i	1.15144	−	1.15144i
$218$	−2.37177	+	2.85196i	−0.160636	+	0.193159i
$219$	9.89555			0.668679
$220$	−19.4177	−	17.8947i	−1.30914	−	1.20646i
$221$	1.37986			0.0928195
$222$	7.09174	−	8.52754i	0.475966	−	0.572331i
$223$	3.91569	−	3.91569i	0.262214	−	0.262214i	−0.563739	−	0.825953i	$-0.690638\pi$
$223$	3.91569	−	3.91569i	0.262214	−	0.262214i	0.825953	+	0.563739i	$0.190638\pi$
$224$	8.29907	+	16.8209i	0.554505	+	1.12389i
$225$	16.2784	+	4.77056i	1.08522	+	0.318037i
$226$	−1.99520	−	21.7046i	−0.132719	−	1.44377i
$227$	0.441036	+	0.441036i	0.0292726	+	0.0292726i	0.721592	−	0.692319i	$-0.243411\pi$
$227$	0.441036	+	0.441036i	0.0292726	+	0.0292726i	−0.692319	+	0.721592i	$0.743411\pi$
$228$	8.83956	+	6.07428i	0.585414	+	0.402279i
$229$		−	6.34608i		−	0.419361i	−0.977770	−	0.209680i	$-0.932758\pi$
$229$		−	6.34608i		−	0.419361i	0.977770	−	0.209680i	$-0.0672423\pi$
$230$	−9.29589	−	10.2933i	−0.612953	−	0.678719i
$231$		−	49.5001i		−	3.25687i
$232$	13.7263	+	7.68508i	0.901179	+	0.504550i
$233$	6.40187	+	6.40187i	0.419401	+	0.419401i	0.884997	−	0.465596i	$-0.154160\pi$
$233$	6.40187	+	6.40187i	0.419401	+	0.419401i	−0.465596	+	0.884997i	$0.654160\pi$
$234$	4.77771	−	0.439192i	0.312329	−	0.0287109i
$235$	1.79068	−	12.4775i	0.116811	−	0.813943i
$236$	−1.11557	−	6.01654i	−0.0726173	−	0.391643i
$237$	12.5612	−	12.5612i	0.815936	−	0.815936i
$238$	4.97489	+	4.13726i	0.322475	+	0.268179i
$239$	−16.6919			−1.07971			−0.539855	−	0.841758i	$-0.681521\pi$
$239$	−16.6919			−1.07971			−0.539855	+	0.841758i	$0.681521\pi$
$240$	22.0487	−	5.02623i	1.42324	−	0.324442i
$241$	−4.87302			−0.313899			−0.156950	−	0.987607i	$-0.550166\pi$
$241$	−4.87302			−0.313899			−0.156950	+	0.987607i	$0.550166\pi$
$242$	25.9476	+	21.5787i	1.66798	+	1.38713i
$243$	15.8148	−	15.8148i	1.01452	−	1.01452i
$244$	3.21784	+	17.3546i	0.206001	+	1.11102i
$245$	7.14856	−	5.35425i	0.456705	−	0.342070i
$246$	1.91875	−	0.176381i	0.122335	−	0.0112457i
$247$	−1.49979	−	1.49979i	−0.0954294	−	0.0954294i
$248$	−17.8541	−	9.99614i	−1.13374	−	0.634756i
$249$			24.7991i			1.57158i
$250$	−14.9275	−	5.21250i	−0.944097	−	0.329667i
$251$			3.80662i			0.240271i	0.992757	+	0.120136i	$0.0383330\pi$
$251$			3.80662i			0.240271i	−0.992757	+	0.120136i	$0.961667\pi$
$252$	18.5422	+	12.7416i	1.16805	+	0.802648i
$253$	18.3119	+	18.3119i	1.15126	+	1.15126i
$254$	−0.789771	−	8.59146i	−0.0495547	−	0.539076i
$255$	6.24394	−	4.67669i	0.391010	−	0.292865i
$256$	11.8871	−	10.7097i	0.742943	−	0.669355i
$257$	15.4246	−	15.4246i	0.962160	−	0.962160i	−0.0371497	−	0.999310i	$-0.511828\pi$
$257$	15.4246	−	15.4246i	0.962160	−	0.962160i	0.999310	+	0.0371497i	$0.0118278\pi$
$258$	−18.7158	+	22.5050i	−1.16519	+	1.40110i
$259$	−10.2850			−0.639076
$260$	−4.46842	+	0.182393i	−0.277119	+	0.0113115i
$261$	18.8691			1.16797
$262$	−5.75330	+	6.91813i	−0.355440	+	0.427403i
$263$	2.06774	−	2.06774i	0.127502	−	0.127502i	−0.640476	−	0.767978i	$-0.721263\pi$
$263$	2.06774	−	2.06774i	0.127502	−	0.127502i	0.767978	+	0.640476i	$0.221263\pi$
$264$	−40.6383	+	11.4661i	−2.50111	+	0.705692i
$265$	3.18629	−	22.2021i	0.195732	−	1.36387i
$266$	−0.910439	−	9.90413i	−0.0558226	−	0.607261i
$267$	−16.8493	−	16.8493i	−1.03116	−	1.03116i
$268$	−4.13518	+	6.01770i	−0.252596	+	0.367589i
$269$			1.08783i			0.0663260i	0.999450	+	0.0331630i	$0.0105580\pi$
$269$			1.08783i			0.0663260i	−0.999450	+	0.0331630i	$0.989442\pi$
$270$	2.32958	−	2.10385i	0.141774	−	0.128036i
$271$		−	18.6868i		−	1.13514i	−0.823325	−	0.567570i	$-0.807884\pi$
$271$		−	18.6868i		−	1.13514i	0.823325	−	0.567570i	$-0.192116\pi$
$272$	2.24420	−	5.04260i	0.136075	−	0.305753i
$273$	−5.92798	−	5.92798i	−0.358777	−	0.358777i
$274$	1.34617	−	0.123747i	0.0813251	−	0.00747582i
$275$	28.3311	+	8.30274i	1.70843	+	0.500674i
$276$	−21.8068	+	4.04336i	−1.31262	+	0.243381i
$277$	1.31820	−	1.31820i	0.0792032	−	0.0792032i	−0.666395	−	0.745599i	$-0.732164\pi$
$277$	1.31820	−	1.31820i	0.0792032	−	0.0792032i	0.745599	+	0.666395i	$0.232164\pi$
$278$	4.85020	+	4.03356i	0.290896	+	0.241917i
$279$	−24.5434			−1.46938
$280$	−16.6571	−	12.7401i	−0.995452	−	0.761368i
$281$	−7.34919			−0.438416			−0.219208	−	0.975678i	$-0.570347\pi$
$281$	−7.34919			−0.438416			−0.219208	+	0.975678i	$0.570347\pi$
$282$	−15.4979	−	12.8885i	−0.922889	−	0.767500i
$283$	7.05023	−	7.05023i	0.419093	−	0.419093i	−0.465798	−	0.884891i	$-0.654233\pi$
$283$	7.05023	−	7.05023i	0.419093	−	0.419093i	0.884891	+	0.465798i	$0.154233\pi$
$284$	−16.7773	+	3.11079i	−0.995547	+	0.184592i
$285$	−11.8698	−	1.70347i	−0.703105	−	0.100905i
$286$	8.31520	−	0.764376i	0.491688	−	0.0451985i
$287$	−1.26345	−	1.26345i	−0.0745793	−	0.0745793i
$288$	6.16546	−	18.1741i	0.363303	−	1.07092i
$289$			15.0960i			0.887999i
$290$	−17.5654	−	0.894356i	−1.03147	−	0.0525184i
$291$			42.2453i			2.47646i
$292$	−4.43314	+	6.45130i	−0.259430	+	0.377534i
$293$	−11.9457	−	11.9457i	−0.697876	−	0.697876i	0.266076	−	0.963952i	$-0.414273\pi$
$293$	−11.9457	−	11.9457i	−0.697876	−	0.697876i	−0.963952	+	0.266076i	$0.914273\pi$
$294$	−1.30736	−	14.2220i	−0.0762468	−	0.829445i
$295$	4.10129	+	5.47571i	0.238786	+	0.318808i
$296$	2.38239	+	8.44367i	0.138474	+	0.490778i
$297$	−4.14436	+	4.14436i	−0.240480	+	0.240480i
$298$	−6.69488	+	8.05034i	−0.387824	+	0.466344i
$299$	4.38595			0.253646
$300$	−19.6016	+	15.9699i	−1.13170	+	0.922021i
$301$	27.1430			1.56450
$302$	7.46468	−	8.97599i	0.429544	−	0.516510i
$303$	−8.40163	+	8.40163i	−0.482661	+	0.482661i
$304$	−7.92013	+	3.04163i	−0.454251	+	0.174449i
$305$	−11.8301	−	15.7946i	−0.677391	−	0.904397i
$306$	−0.606024	−	6.59259i	−0.0346441	−	0.376873i
$307$	0.789610	+	0.789610i	0.0450654	+	0.0450654i	0.729280	−	0.684215i	$-0.239855\pi$
$307$	0.789610	+	0.789610i	0.0450654	+	0.0450654i	−0.684215	+	0.729280i	$0.739855\pi$
$308$	32.2711	+	22.1757i	1.83882	+	1.26358i
$309$			3.05717i			0.173916i
$310$	22.8476	+	1.16331i	1.29766	+	0.0660714i
$311$		−	18.0187i		−	1.02174i	−0.859657	−	0.510872i	$-0.829323\pi$
$311$		−	18.0187i		−	1.02174i	0.859657	−	0.510872i	$-0.170677\pi$
$312$	−3.49356	+	6.23986i	−0.197784	+	0.353262i
$313$	19.4426	+	19.4426i	1.09896	+	1.09896i	0.994533	+	0.104427i	$0.0333008\pi$
$313$	19.4426	+	19.4426i	1.09896	+	1.09896i	0.104427	+	0.994533i	$0.466699\pi$
$314$	28.7769	−	2.64532i	1.62397	−	0.149284i
$315$	−24.8985	−	3.57325i	−1.40287	−	0.201330i
$316$	2.56181	+	13.8165i	0.144113	+	0.777237i
$317$	−9.02608	+	9.02608i	−0.506955	+	0.506955i	−0.913591	−	0.406635i	$-0.866702\pi$
$317$	−9.02608	+	9.02608i	−0.506955	+	0.506955i	0.406635	+	0.913591i	$0.366702\pi$
$318$	−27.5766	−	22.9335i	−1.54642	−	1.28604i
$319$	32.8400			1.83869
$320$	−6.60087	+	16.6261i	−0.369000	+	0.929430i
$321$	−46.4521			−2.59271
$322$	15.8129	+	13.1504i	0.881219	+	0.732846i
$323$	−2.06950	+	2.06950i	−0.115150	+	0.115150i
$324$	2.79593	+	15.0791i	0.155329	+	0.837729i
$325$	4.38715	−	2.39853i	0.243355	−	0.133046i
$326$	−18.2048	+	1.67347i	−1.00827	+	0.0926852i
$327$	−4.68923	−	4.68923i	−0.259315	−	0.259315i
$328$	−0.744596	+	1.32993i	−0.0411134	+	0.0734328i
$329$			18.6919i			1.03052i
$330$	35.0360	−	31.6411i	1.92867	−	1.74178i
$331$			2.06198i			0.113336i	0.998393	+	0.0566682i	$0.0180477\pi$
$331$			2.06198i			0.113336i	−0.998393	+	0.0566682i	$0.981952\pi$
$332$	−16.1675	−	11.1099i	−0.887309	−	0.609732i
$333$	7.44110	+	7.44110i	0.407770	+	0.407770i
$334$	−0.490043	−	5.33089i	−0.0268139	−	0.291693i
$335$	1.15967	−	8.08057i	0.0633593	−	0.441489i
$336$	−31.3046	+	12.0221i	−1.70781	+	0.655861i
$337$	9.46896	−	9.46896i	0.515807	−	0.515807i	−0.400493	−	0.916300i	$-0.631161\pi$
$337$	9.46896	−	9.46896i	0.515807	−	0.515807i	0.916300	+	0.400493i	$0.131161\pi$
$338$	0.904262	−	1.08734i	0.0491854	−	0.0591435i
$339$	38.9675			2.11642
$340$	0.251677	+	6.16579i	0.0136491	+	0.334387i
$341$	−42.7157			−2.31319
$342$	−6.50688	+	7.82427i	−0.351852	+	0.423088i
$343$	7.04728	−	7.04728i	0.380517	−	0.380517i
$344$	−6.28737	−	22.2837i	−0.338992	−	1.20146i
$345$	19.8466	−	14.8650i	1.06851	−	0.800307i
$346$	0.789644	+	8.59007i	0.0424515	+	0.461805i
$347$	−7.60949	−	7.60949i	−0.408499	−	0.408499i	0.472716	−	0.881215i	$-0.343274\pi$
$347$	−7.60949	−	7.60949i	−0.408499	−	0.408499i	−0.881215	+	0.472716i	$0.843274\pi$
$348$	−15.9283	+	23.1795i	−0.853844	+	1.24255i
$349$			4.69447i			0.251289i	0.992075	+	0.125644i	$0.0400999\pi$
$349$			4.69447i			0.251289i	−0.992075	+	0.125644i	$0.959900\pi$
$350$	23.0088	+	4.50650i	1.22987	+	0.240882i
$351$			0.992630i			0.0529827i
$352$	10.7304	−	31.6305i	0.571934	−	1.68591i
$353$	7.77497	+	7.77497i	0.413820	+	0.413820i	0.883067	−	0.469247i	$-0.155475\pi$
$353$	7.77497	+	7.77497i	0.413820	+	0.413820i	−0.469247	+	0.883067i	$0.655475\pi$
$354$	10.8939	−	1.00142i	0.579004	−	0.0532250i
$355$	15.2692	−	11.4365i	0.810403	−	0.606989i
$356$	18.5331	−	3.43635i	0.982251	−	0.182126i
$357$	−8.17979	+	8.17979i	−0.432920	+	0.432920i
$358$	−11.3961	−	9.47730i	−0.602302	−	0.500891i
$359$	−22.3596			−1.18009			−0.590046	−	0.807369i	$-0.700891\pi$
$359$	−22.3596			−1.18009			−0.590046	+	0.807369i	$0.700891\pi$
$360$	2.83391	+	21.2687i	0.149360	+	1.12096i
$361$	−14.5013			−0.763224
$362$	16.8776	+	14.0359i	0.887068	+	0.737710i
$363$	−42.6634	+	42.6634i	−2.23925	+	2.23925i
$364$	6.52038	−	1.20899i	0.341761	−	0.0633683i
$365$	1.24323	−	8.66282i	0.0650734	−	0.453433i
$366$	−31.4233	+	2.88859i	−1.64252	+	0.150989i
$367$	10.2028	+	10.2028i	0.532580	+	0.532580i	0.921339	−	0.388760i	$-0.127096\pi$
$367$	10.2028	+	10.2028i	0.532580	+	0.532580i	−0.388760	+	0.921339i	$0.627096\pi$
$368$	7.13328	−	16.0281i	0.371848	−	0.835524i
$369$			1.82820i			0.0951723i
$370$	−6.57426	−	7.27965i	−0.341780	−	0.378451i
$371$			33.2598i			1.72676i
$372$	20.7182	−	30.1500i	1.07419	−	1.56321i
$373$	−17.6595	−	17.6595i	−0.914372	−	0.914372i	0.0822402	−	0.996613i	$-0.473793\pi$
$373$	−17.6595	−	17.6595i	−0.914372	−	0.914372i	−0.996613	+	0.0822402i	$0.973793\pi$
$374$	−1.05473	−	11.4738i	−0.0545389	−	0.593297i
$375$	11.7228	−	25.7226i	0.605365	−	1.32831i
$376$	15.3455	−	4.32976i	0.791384	−	0.223290i
$377$	3.93282	−	3.93282i	0.202551	−	0.202551i
$378$	−2.97622	+	3.57879i	−0.153080	+	0.184073i
$379$	−6.98725			−0.358911			−0.179456	−	0.983766i	$-0.557434\pi$
$379$	−6.98725			−0.358911			−0.179456	+	0.983766i	$0.557434\pi$
$380$	6.42814	−	6.97524i	0.329757	−	0.357822i
$381$	15.4247			0.790233
$382$	−11.9756	+	14.4002i	−0.612726	+	0.736779i
$383$	−8.29838	+	8.29838i	−0.424028	+	0.424028i	−0.886588	−	0.462560i	$-0.846931\pi$
$383$	−8.29838	+	8.29838i	−0.424028	+	0.424028i	0.462560	+	0.886588i	$0.346931\pi$
$384$	17.1212	+	22.9154i	0.873713	+	1.16940i
$385$	−43.3337	−	6.21894i	−2.20849	−	0.316946i
$386$	2.68031	+	29.1575i	0.136424	+	1.48408i
$387$	−19.6378	−	19.6378i	−0.998245	−	0.998245i
$388$	−27.5414	−	18.9256i	−1.39820	−	0.960802i
$389$			8.88726i			0.450602i	0.974289	+	0.225301i	$0.0723365\pi$
$389$			8.88726i			0.450602i	−0.974289	+	0.225301i	$0.927663\pi$
$390$	0.406565	−	7.98503i	0.0205872	−	0.404338i
$391$		−	6.05200i		−	0.306063i
$392$	9.85759	+	5.51905i	0.497883	+	0.278754i
$393$	−11.3749	−	11.3749i	−0.573786	−	0.573786i
$394$	34.6629	−	3.18639i	1.74629	−	0.160528i
$395$	−9.41826	−	12.5745i	−0.473884	−	0.632692i
$396$	−7.30394	−	39.3919i	−0.367037	−	1.97952i
$397$	15.3788	−	15.3788i	0.771838	−	0.771838i	−0.206590	−	0.978428i	$-0.566237\pi$
$397$	15.3788	−	15.3788i	0.771838	−	0.771838i	0.978428	+	0.206590i	$0.0662365\pi$
$398$	28.5894	+	23.7757i	1.43306	+	1.19177i
$399$	17.7815			0.890186
$400$	−1.63001	−	19.9335i	−0.0815006	−	0.996673i
$401$	−7.73585			−0.386310			−0.193155	−	0.981168i	$-0.561872\pi$
$401$	−7.73585			−0.386310			−0.193155	+	0.981168i	$0.561872\pi$
$402$	−10.0366	−	8.34675i	−0.500582	−	0.416298i
$403$	−5.11550	+	5.11550i	−0.254821	+	0.254821i
$404$	−1.71348	−	9.24124i	−0.0852490	−	0.459769i
$405$	−10.2790	−	13.7237i	−0.510767	−	0.681935i
$406$	25.9711	−	2.38739i	1.28892	−	0.118484i
$407$	12.9506	+	12.9506i	0.641936	+	0.641936i
$408$	8.61014	+	4.82063i	0.426265	+	0.238657i
$409$		−	7.27059i		−	0.359508i	−0.983712	−	0.179754i	$-0.942470\pi$
$409$		−	7.27059i		−	0.359508i	0.983712	−	0.179754i	$-0.0575301\pi$
$410$	0.0866528	−	1.70188i	0.00427948	−	0.0840499i
$411$			2.41686i			0.119215i
$412$	−1.99309	−	1.36959i	−0.0981926	−	0.0674750i
$413$	−7.17339	−	7.17339i	−0.352979	−	0.352979i
$414$	−1.92627	−	20.9548i	−0.0946712	−	1.02987i
$415$	21.7098	+	3.11563i	1.06569	+	0.152941i
$416$	−2.50292	−	5.07301i	−0.122716	−	0.248725i
$417$	−7.97477	+	7.97477i	−0.390526	+	0.390526i
$418$	−11.3247	+	13.6175i	−0.553907	+	0.666052i
$419$	28.5271			1.39364			0.696819	−	0.717247i	$-0.254598\pi$
$419$	28.5271			1.39364			0.696819	+	0.717247i	$0.254598\pi$
$420$	25.4074	−	27.5699i	1.23976	−	1.34527i
$421$	29.4919			1.43735			0.718674	−	0.695347i	$-0.244749\pi$
$421$	29.4919			1.43735			0.718674	+	0.695347i	$0.244749\pi$
$422$	6.03214	−	7.25342i	0.293640	−	0.353091i
$423$	13.5234	−	13.5234i	0.657532	−	0.657532i
$424$	27.3054	−	7.70425i	1.32607	−	0.374151i
$425$	−3.30964	−	6.05366i	−0.160541	−	0.293645i
$426$	−2.79249	−	30.3779i	−0.135297	−	1.47181i
$427$	20.6915	+	20.6915i	1.00133	+	1.00133i
$428$	20.8103	−	30.2840i	1.00590	−	1.46383i
$429$			14.9287i			0.720767i
$430$	17.3501	+	19.2117i	0.836698	+	0.926471i
$431$		−	22.3840i		−	1.07820i	−0.842242	−	0.539099i	$-0.818765\pi$
$431$		−	22.3840i		−	1.07820i	0.842242	−	0.539099i	$-0.181235\pi$
$432$	3.62749	+	1.61441i	0.174528	+	0.0776733i
$433$	−9.07817	−	9.07817i	−0.436269	−	0.436269i	0.454485	−	0.890754i	$-0.349823\pi$
$433$	−9.07817	−	9.07817i	−0.436269	−	0.436269i	−0.890754	+	0.454485i	$0.849823\pi$
$434$	−33.7811	+	3.10533i	−1.62154	+	0.149061i
$435$	4.46690	−	31.1255i	0.214172	−	1.49235i
$436$	5.15784	−	0.956352i	0.247016	−	0.0458010i
$437$	−6.57801	+	6.57801i	−0.314669	+	0.314669i
$438$	−10.7598	−	8.94817i	−0.514125	−	0.427560i
$439$	0.367210			0.0175260			0.00876298	−	0.999962i	$-0.497211\pi$
$439$	0.367210			0.0175260			0.00876298	+	0.999962i	$0.497211\pi$
$440$	4.93218	+	37.0163i	0.235132	+	1.76468i
$441$	13.5509			0.645279
$442$	−1.50038	−	1.24776i	−0.0713658	−	0.0593497i
$443$	−15.4141	+	15.4141i	−0.732348	+	0.732348i	−0.971084	−	0.238736i	$-0.923267\pi$
$443$	−15.4141	+	15.4141i	−0.732348	+	0.732348i	0.238736	+	0.971084i	$0.423267\pi$
$444$	−15.4223	+	2.85955i	−0.731908	+	0.135708i
$445$	−16.8671	+	12.6334i	−0.799579	+	0.598882i
$446$	−7.79851	+	0.716879i	−0.369270	+	0.0339452i
$447$	−13.2365	−	13.2365i	−0.626064	−	0.626064i
$448$	6.18654	−	25.7945i	0.292287	−	1.21868i
$449$			40.2066i			1.89747i	0.316079	+	0.948733i	$0.397634\pi$
$449$			40.2066i			1.89747i	−0.316079	+	0.948733i	$0.602366\pi$
$450$	−13.3863	−	19.9071i	−0.631035	−	0.938431i
$451$			3.18182i			0.149826i
$452$	−17.4572	+	25.4045i	−0.821116	+	1.19492i
$453$	14.7584	+	14.7584i	0.693412	+	0.693412i
$454$	−0.0807442	−	0.878368i	−0.00378951	−	0.0412239i
$455$	−5.93426	+	4.44474i	−0.278203	+	0.208373i
$456$	−4.11887	−	14.5981i	−0.192884	−	0.683619i
$457$	9.15479	−	9.15479i	0.428243	−	0.428243i	−0.459787	−	0.888029i	$-0.652074\pi$
$457$	9.15479	−	9.15479i	0.428243	−	0.428243i	0.888029	+	0.459787i	$0.152074\pi$
$458$	−5.73852	+	6.90035i	−0.268143	+	0.322432i
$459$	1.36969			0.0639318
$460$	0.799964	+	19.5982i	0.0372985	+	0.913772i
$461$	28.6420			1.33399			0.666995	−	0.745062i	$-0.267580\pi$
$461$	28.6420			1.33399			0.666995	+	0.745062i	$0.267580\pi$
$462$	−44.7611	+	53.8235i	−2.08247	+	2.50409i
$463$	−20.4203	+	20.4203i	−0.949010	+	0.949010i	−0.998762	−	0.0497517i	$-0.984157\pi$
$463$	−20.4203	+	20.4203i	−0.949010	+	0.949010i	0.0497517	+	0.998762i	$0.484157\pi$
$464$	−7.97589	−	20.7685i	−0.370271	−	0.964154i
$465$	−5.81019	+	40.4855i	−0.269441	+	1.87747i
$466$	−1.17204	−	12.7500i	−0.0542939	−	0.590632i
$467$	−21.3596	−	21.3596i	−0.988406	−	0.988406i	0.0115276	−	0.999934i	$-0.496331\pi$
$467$	−21.3596	−	21.3596i	−0.988406	−	0.988406i	−0.999934	+	0.0115276i	$0.996331\pi$
$468$	−5.59215	−	3.84276i	−0.258497	−	0.177631i
$469$			12.1051i			0.558959i
$470$	−13.2300	+	11.9481i	−0.610255	+	0.551123i
$471$			51.6648i			2.38059i
$472$	−4.22752	+	7.55079i	−0.194588	+	0.347553i
$473$	−34.1779	−	34.1779i	−1.57150	−	1.57150i
$474$	−25.0169	+	2.29968i	−1.14906	+	0.105628i
$475$	−2.98251	+	10.1771i	−0.136847	+	0.466957i
$476$	−1.66824	−	8.99722i	−0.0764636	−	0.412387i
$477$	24.0632	−	24.0632i	1.10178	−	1.10178i
$478$	18.1498	+	15.0939i	0.830153	+	0.690378i
$479$	4.14375			0.189333			0.0946664	−	0.995509i	$-0.469822\pi$
$479$	4.14375			0.189333			0.0946664	+	0.995509i	$0.469822\pi$
$480$	−28.5195	−	14.4726i	−1.30173	−	0.660580i
$481$	3.10184			0.141432
$482$	5.29864	+	4.40649i	0.241346	+	0.200710i
$483$	−25.9998	+	25.9998i	−1.18303	+	1.18303i
$484$	−8.70105	−	46.9269i	−0.395502	−	2.13304i
$485$	36.9826	+	5.30748i	1.67929	+	0.241000i
$486$	−31.4968	+	2.89535i	−1.42873	+	0.131336i
$487$	−24.6973	−	24.6973i	−1.11914	−	1.11914i	−0.991868	−	0.127273i	$-0.959378\pi$
$487$	−24.6973	−	24.6973i	−1.11914	−	1.11914i	−0.127273	−	0.991868i	$-0.540622\pi$
$488$	12.1942	−	21.7802i	0.552007	−	0.985942i
$489$		−	32.6840i		−	1.47802i
$490$	−12.6146	−	0.642283i	−0.569868	−	0.0290154i
$491$			19.3185i			0.871832i	0.899987	+	0.435916i	$0.143576\pi$
$491$			19.3185i			0.871832i	−0.899987	+	0.435916i	$0.856424\pi$
$492$	−2.24583	−	1.54326i	−0.101250	−	0.0695757i
$493$	−5.42675	−	5.42675i	−0.244408	−	0.244408i
$494$	0.274579	+	2.98699i	0.0123539	+	0.134391i
$495$	26.8523	+	35.8510i	1.20692	+	1.61138i
$496$	10.3744	+	27.0140i	0.465824	+	1.21297i
$497$	−20.0032	+	20.0032i	−0.897265	+	0.897265i
$498$	22.4249	−	26.9651i	1.00488	−	1.20834i
$499$	−4.80183			−0.214959			−0.107480	−	0.994207i	$-0.534278\pi$
$499$	−4.80183			−0.214959			−0.107480	+	0.994207i	$0.534278\pi$
$500$	11.5178	+	19.1661i	0.515092	+	0.857135i
$501$	9.57085			0.427594
$502$	3.44218	−	4.13909i	0.153632	−	0.184737i
$503$	−7.80160	+	7.80160i	−0.347856	+	0.347856i	−0.859310	−	0.511454i	$-0.829107\pi$
$503$	−7.80160	+	7.80160i	−0.347856	+	0.347856i	0.511454	+	0.859310i	$0.329107\pi$
$504$	−8.63991	−	30.6215i	−0.384852	−	1.36399i
$505$	6.29947	+	8.41055i	0.280323	+	0.374264i
$506$	−3.35251	−	36.4700i	−0.149037	−	1.62129i
$507$	1.78782	+	1.78782i	0.0793999	+	0.0793999i
$508$	−6.91018	+	10.0560i	−0.306590	+	0.446163i
$509$		−	41.1405i		−	1.82352i	−0.410725	−	0.911759i	$-0.634724\pi$
$509$		−	41.1405i		−	1.82352i	0.410725	−	0.911759i	$-0.365276\pi$
$510$	−11.0182	−	0.561004i	−0.487896	−	0.0248417i
$511$			12.9773i			0.574081i
$512$	−22.6097	+	0.896029i	−0.999216	+	0.0395992i
$513$	−1.48874	−	1.48874i	−0.0657294	−	0.0657294i
$514$	−30.7197	+	2.82391i	−1.35499	+	0.124557i
$515$	2.67633	+	0.384087i	0.117933	+	0.0169249i
$516$	40.7009	−	7.54664i	1.79176	−	0.332222i
$517$	23.5364	−	23.5364i	1.03513	−	1.03513i
$518$	11.1832	+	9.30029i	0.491364	+	0.408631i
$519$	−15.4222			−0.676962
$520$	5.02362	+	3.84230i	0.220300	+	0.168496i
$521$	17.4587			0.764881			0.382441	−	0.923980i	$-0.375084\pi$
$521$	17.4587			0.764881			0.382441	+	0.923980i	$0.375084\pi$
$522$	−20.5172	−	17.0626i	−0.898012	−	0.746811i
$523$	20.3908	−	20.3908i	0.891627	−	0.891627i	−0.103050	−	0.994676i	$-0.532860\pi$
$523$	20.3908	−	20.3908i	0.891627	−	0.891627i	0.994676	+	0.103050i	$0.0328600\pi$
$524$	12.5116	−	2.31987i	0.546572	−	0.101344i
$525$	−11.7885	+	40.2253i	−0.514492	+	1.75558i
$526$	−4.11812	+	0.378559i	−0.179559	+	0.0165060i
$527$	7.05868	+	7.05868i	0.307481	+	0.307481i
$528$	54.5560	+	24.2800i	2.37425	+	1.05665i
$529$			3.76347i			0.163629i
$530$	−23.5411	+	21.2600i	−1.02256	+	0.923477i
$531$			10.3798i			0.450445i
$532$	−7.96597	+	11.5924i	−0.345369	+	0.502596i
$533$	0.381045	+	0.381045i	0.0165049	+	0.0165049i
$534$	3.08474	+	33.5571i	0.133490	+	1.45216i
$535$	−5.83600	+	40.6654i	−0.252312	+	1.75812i
$536$	9.93792	−	2.80400i	0.429253	−	0.121114i
$537$	18.7376	−	18.7376i	0.808587	−	0.808587i
$538$	0.983681	−	1.18284i	0.0424095	−	0.0509958i
$539$	23.5841			1.01584
$540$	−4.43548	+	0.181048i	−0.190873	+	0.00779108i
$541$	−13.3562			−0.574228			−0.287114	−	0.957896i	$-0.592696\pi$
$541$	−13.3562			−0.574228			−0.287114	+	0.957896i	$0.592696\pi$
$542$	−16.8977	+	20.3189i	−0.725820	+	0.872770i
$543$	−27.7504	+	27.7504i	−1.19088	+	1.19088i
$544$	−7.00005	+	3.45368i	−0.300125	+	0.148075i
$545$	−4.69421	+	3.51594i	−0.201078	+	0.150607i
$546$	1.08528	+	11.8062i	0.0464459	+	0.505258i
$547$	−16.3289	−	16.3289i	−0.698175	−	0.698175i	0.265842	−	0.964017i	$-0.414350\pi$
$547$	−16.3289	−	16.3289i	−0.698175	−	0.698175i	−0.964017	+	0.265842i	$0.914350\pi$
$548$	−1.57565	−	1.08274i	−0.0673082	−	0.0462522i
$549$		−	29.9404i		−	1.27783i
$550$	−23.2977	−	34.6466i	−0.993415	−	1.47734i
$551$			11.7968i			0.502561i
$552$	27.3677	+	15.3226i	1.16485	+	0.652172i
$553$	16.4731	+	16.4731i	0.700506	+	0.700506i
$554$	−2.62534	+	0.241335i	−0.111540	+	0.0102533i
$555$	14.0360	−	10.5129i	0.595794	−	0.446247i
$556$	−1.62643	−	8.77171i	−0.0689758	−	0.372003i
$557$	−3.94925	+	3.94925i	−0.167335	+	0.167335i	−0.785807	−	0.618472i	$-0.787752\pi$
$557$	−3.94925	+	3.94925i	−0.167335	+	0.167335i	0.618472	+	0.785807i	$0.287752\pi$
$558$	26.6871	+	22.1937i	1.12975	+	0.939534i
$559$	−8.18607			−0.346234
$560$	6.59154	+	28.9152i	0.278543	+	1.22189i
$561$	20.5996			0.869716
$562$	7.99107	+	6.64559i	0.337083	+	0.280327i
$563$	28.4131	−	28.4131i	1.19747	−	1.19747i	0.222547	−	0.974922i	$-0.428563\pi$
$563$	28.4131	−	28.4131i	1.19747	−	1.19747i	0.974922	−	0.222547i	$-0.0714371\pi$
$564$	5.19695	+	28.0284i	0.218831	+	1.18021i
$565$	4.89567	−	34.1131i	0.205962	−	1.43515i
$566$	−14.0413	+	1.29075i	−0.590198	+	0.0542541i
$567$	17.9785	+	17.9785i	0.755027	+	0.755027i
$568$	21.0556	+	11.7886i	0.883472	+	0.494637i
$569$			1.74697i			0.0732369i	0.999329	+	0.0366184i	$0.0116586\pi$
$569$			1.74697i			0.0732369i	−0.999329	+	0.0366184i	$0.988341\pi$
$570$	11.3661	+	12.5856i	0.476074	+	0.527155i
$571$			15.3998i			0.644460i	0.946661	+	0.322230i	$0.104432\pi$
$571$			15.3998i			0.644460i	−0.946661	+	0.322230i	$0.895568\pi$
$572$	−9.73265	−	6.68798i	−0.406942	−	0.279639i
$573$	−23.6770	−	23.6770i	−0.989122	−	0.989122i
$574$	0.231311	+	2.51630i	0.00965473	+	0.105028i
$575$	−10.5198	−	19.2418i	−0.438707	−	0.802438i
$576$	−23.1381	+	14.1863i	−0.964088	+	0.591094i
$577$	−1.31527	+	1.31527i	−0.0547554	+	0.0547554i	−0.733954	−	0.679199i	$-0.762327\pi$
$577$	−1.31527	+	1.31527i	−0.0547554	+	0.0547554i	0.679199	+	0.733954i	$0.262327\pi$
$578$	13.6507	−	16.4145i	0.567795	−	0.682752i
$579$	−52.3481			−2.17551
$580$	18.2908	+	16.8562i	0.759484	+	0.699914i
$581$	−32.5223			−1.34925
$582$	38.2008	−	45.9350i	1.58348	−	1.90407i
$583$	41.8799	−	41.8799i	1.73449	−	1.73449i
$584$	10.6540	−	3.00604i	0.440866	−	0.124391i
$585$	7.50915	+	1.07766i	0.310465	+	0.0445557i
$586$	2.18700	+	23.7911i	0.0903443	+	0.982802i
$587$	6.86501	+	6.86501i	0.283349	+	0.283349i	0.834443	−	0.551094i	$-0.185789\pi$
$587$	6.86501	+	6.86501i	0.283349	+	0.283349i	−0.551094	+	0.834443i	$0.685789\pi$
$588$	−11.4389	+	16.6464i	−0.471732	+	0.686485i
$589$		−	15.3444i		−	0.632253i
$590$	0.491981	−	9.66261i	0.0202545	−	0.397803i
$591$			62.2323i			2.55990i
$592$	5.04482	−	11.3355i	0.207341	−	0.465884i
$593$	27.3416	+	27.3416i	1.12279	+	1.12279i	0.991321	+	0.131466i	$0.0419683\pi$
$593$	27.3416	+	27.3416i	1.12279	+	1.12279i	0.131466	+	0.991321i	$0.458032\pi$
$594$	8.25391	−	0.758742i	0.338662	−	0.0311316i
$595$	6.13313	+	8.18846i	0.251434	+	0.335694i
$596$	14.5592	−	2.69953i	0.596369	−	0.110577i
$597$	−47.0071	+	47.0071i	−1.92387	+	1.92387i
$598$	−4.76902	−	3.96605i	−0.195020	−	0.162184i
$599$	−29.1119			−1.18948			−0.594740	−	0.803918i	$-0.702745\pi$
$599$	−29.1119			−1.18948			−0.594740	+	0.803918i	$0.702745\pi$
$600$	35.7546	+	0.360292i	1.45967	+	0.0147088i
$601$	18.6652			0.761370			0.380685	−	0.924705i	$-0.375688\pi$
$601$	18.6652			0.761370			0.380685	+	0.924705i	$0.375688\pi$
$602$	−29.5137	−	24.5444i	−1.20289	−	1.00035i
$603$	8.75793	−	8.75793i	0.356651	−	0.356651i
$604$	−16.2333	+	3.00993i	−0.660523	+	0.122472i
$605$	31.9886	+	42.7087i	1.30052	+	1.73635i
$606$	16.7327	−	1.53816i	0.679720	−	0.0624834i
$607$	−11.4008	−	11.4008i	−0.462745	−	0.462745i	0.436809	−	0.899554i	$-0.356108\pi$
$607$	−11.4008	−	11.4008i	−0.462745	−	0.462745i	−0.899554	+	0.436809i	$0.856108\pi$
$608$	11.3623	+	3.85459i	0.460802	+	0.156324i
$609$			46.6273i			1.88943i
$610$	−1.41911	+	27.8717i	−0.0574581	+	1.12849i
$611$		−	5.63728i		−	0.228060i
$612$	−5.30247	+	7.71639i	−0.214340	+	0.311917i
$613$	−7.48848	−	7.48848i	−0.302457	−	0.302457i	0.539517	−	0.841974i	$-0.318607\pi$
$613$	−7.48848	−	7.48848i	−0.302457	−	0.302457i	−0.841974	+	0.539517i	$0.818607\pi$
$614$	−0.144561	−	1.57259i	−0.00583399	−	0.0634645i
$615$	3.01570	+	0.432791i	0.121605	+	0.0174518i
$616$	−15.0370	−	53.2941i	−0.605858	−	2.14728i
$617$	−4.44176	+	4.44176i	−0.178818	+	0.178818i	−0.790841	−	0.612022i	$-0.790356\pi$
$617$	−4.44176	+	4.44176i	−0.178818	+	0.178818i	0.612022	+	0.790841i	$0.290356\pi$
$618$	2.76448	−	3.32419i	0.111204	−	0.133718i
$619$	29.5686			1.18846			0.594231	−	0.804294i	$-0.297456\pi$
$619$	29.5686			1.18846			0.594231	+	0.804294i	$0.297456\pi$
$620$	−23.7912	−	21.9251i	−0.955477	−	0.880535i
$621$	4.35362			0.174705
$622$	−16.2936	+	19.5924i	−0.653314	+	0.785585i
$623$	22.0966	−	22.0966i	0.885281	−	0.885281i
$624$	9.44116	−	3.62576i	0.377949	−	0.145146i
$625$	−21.0454	−	13.4941i	−0.841816	−	0.539765i
$626$	−3.55952	−	38.7219i	−0.142267	−	1.54764i
$627$	−22.3900	−	22.3900i	−0.894171	−	0.894171i
$628$	−33.6823	−	23.1455i	−1.34407	−	0.923605i
$629$		−	4.28011i		−	0.170659i
$630$	23.8420	+	26.4001i	0.949888	+	1.05181i
$631$		−	7.08057i		−	0.281873i	−0.990019	−	0.140937i	$-0.954989\pi$
$631$		−	7.08057i		−	0.281873i	0.990019	−	0.140937i	$-0.0450113\pi$
$632$	9.70815	−	17.3397i	0.386169	−	0.689738i
$633$	11.9262	+	11.9262i	0.474023	+	0.474023i
$634$	17.9764	−	1.65248i	0.713933	−	0.0656284i
$635$	1.93788	−	13.5032i	0.0769026	−	0.535859i
$636$	9.24730	+	49.8730i	0.366679	+	1.97759i
$637$	2.82436	−	2.82436i	0.111905	−	0.111905i
$638$	−35.7083	−	29.6960i	−1.41371	−	1.17568i
$639$	28.9443			1.14502
$640$	22.2118	−	12.1094i	0.877998	−	0.478665i
$641$	47.7079			1.88435			0.942174	−	0.335124i	$-0.108778\pi$
$641$	47.7079			1.88435			0.942174	+	0.335124i	$0.108778\pi$
$642$	50.5093	+	42.0049i	1.99344	+	1.65780i
$643$	7.14982	−	7.14982i	0.281961	−	0.281961i	−0.551929	−	0.833891i	$-0.686108\pi$
$643$	7.14982	−	7.14982i	0.281961	−	0.281961i	0.833891	+	0.551929i	$0.186108\pi$
$644$	−5.30256	−	28.5980i	−0.208950	−	1.12692i
$645$	−37.0423	+	27.7446i	−1.45854	+	1.09244i
$646$	4.12163	−	0.378882i	0.162163	−	0.0149069i
$647$	10.5716	+	10.5716i	0.415614	+	0.415614i	0.883689	−	0.468075i	$-0.155052\pi$
$647$	10.5716	+	10.5716i	0.415614	+	0.415614i	−0.468075	+	0.883689i	$0.655052\pi$
$648$	10.5954	−	18.9244i	0.416225	−	0.743421i
$649$			18.0651i			0.709119i
$650$	−6.93922	−	1.35912i	−0.272179	−	0.0533089i
$651$		−	60.6491i		−	2.37703i
$652$	21.3080	+	14.6422i	0.834487	+	0.573434i
$653$	13.5641	+	13.5641i	0.530805	+	0.530805i	0.920812	−	0.390007i	$-0.127527\pi$
$653$	13.5641	+	13.5641i	0.530805	+	0.530805i	−0.390007	+	0.920812i	$0.627527\pi$
$654$	0.858497	+	9.33909i	0.0335699	+	0.365187i
$655$	−11.3869	+	8.52878i	−0.444924	+	0.333247i
$656$	2.01223	−	0.772772i	0.0785644	−	0.0301717i
$657$	9.38899	−	9.38899i	0.366299	−	0.366299i
$658$	16.9023	−	20.3244i	0.658922	−	0.792328i
$659$	12.8543			0.500732			0.250366	−	0.968151i	$-0.419449\pi$
$659$	12.8543			0.500732			0.250366	+	0.968151i	$0.419449\pi$
$660$	−66.7078	+	2.72289i	−2.59660	+	0.105988i
$661$	−21.0808			−0.819949			−0.409975	−	0.912097i	$-0.634462\pi$
$661$	−21.0808			−0.819949			−0.409975	+	0.912097i	$0.634462\pi$
$662$	1.86457	−	2.24207i	0.0724685	−	0.0871405i
$663$	2.46694	−	2.46694i	0.0958082	−	0.0958082i
$664$	7.53341	+	26.6999i	0.292353	+	1.03616i
$665$	2.23397	−	15.5663i	0.0866296	−	0.603637i
$666$	−1.36230	−	14.8197i	−0.0527882	−	0.574252i
$667$	−17.2491	−	17.2491i	−0.667889	−	0.667889i
$668$	−4.28768	+	6.23962i	−0.165895	+	0.241418i
$669$		−	14.0011i		−	0.541314i
$670$	−8.56791	+	7.73769i	−0.331007	+	0.298933i
$671$		−	52.1087i		−	2.01163i
$672$	44.9099	+	15.2354i	1.73244	+	0.587719i
$673$	4.99164	+	4.99164i	0.192414	+	0.192414i	0.796738	−	0.604325i	$-0.206557\pi$
$673$	4.99164	+	4.99164i	0.192414	+	0.192414i	−0.604325	+	0.796738i	$0.706557\pi$
$674$	−18.8584	+	1.73356i	−0.726399	+	0.0667743i
$675$	4.35481	−	2.38085i	0.167617	−	0.0916390i
$676$	−1.96648	+	0.364619i	−0.0756339	+	0.0140238i
$677$	−23.8899	+	23.8899i	−0.918164	+	0.918164i	−0.996896	−	0.0787317i	$-0.974913\pi$
$677$	−23.8899	+	23.8899i	−0.918164	+	0.918164i	0.0787317	+	0.996896i	$0.474913\pi$
$678$	−42.3709	−	35.2368i	−1.62725	−	1.35326i
$679$	−55.4016			−2.12612
$680$	5.30184	−	6.93190i	0.203316	−	0.265826i
$681$	1.57699			0.0604302
$682$	46.4465	+	38.6262i	1.77853	+	1.47907i
$683$	−28.7712	+	28.7712i	−1.10090	+	1.10090i	−0.106598	+	0.994302i	$0.533996\pi$
$683$	−28.7712	+	28.7712i	−1.10090	+	1.10090i	−0.994302	+	0.106598i	$0.966004\pi$
$684$	14.1504	−	2.62372i	0.541054	−	0.100321i
$685$	2.11578	+	0.303641i	0.0808398	+	0.0116015i
$686$	−14.0354	+	1.29020i	−0.535873	+	0.0492602i
$687$	−11.3456	−	11.3456i	−0.432863	−	0.432863i
$688$	−13.3138	+	29.9154i	−0.507583	+	1.14051i
$689$		−	10.0308i		−	0.382144i
$690$	−35.0219	−	1.78317i	−1.33326	−	0.0678842i
$691$			14.3829i			0.547153i	0.961850	+	0.273576i	$0.0882067\pi$
$691$			14.3829i			0.547153i	−0.961850	+	0.273576i	$0.911793\pi$
$692$	6.90906	−	10.0544i	0.262643	−	0.382210i
$693$	−46.9661	−	46.9661i	−1.78410	−	1.78410i
$694$	1.39313	+	15.1551i	0.0528826	+	0.575279i
$695$	5.97941	+	7.98323i	0.226812	+	0.302821i
$696$	38.2798	−	10.8007i	1.45099	−	0.409399i
$697$	0.525789	−	0.525789i	0.0199157	−	0.0199157i
$698$	4.24503	−	5.10448i	0.160677	−	0.193208i
$699$	22.8908			0.865809
$700$	−20.9433	−	25.7061i	−0.791583	−	0.971598i
$701$	−0.729357			−0.0275474			−0.0137737	−	0.999905i	$-0.504384\pi$
$701$	−0.729357			−0.0275474			−0.0137737	+	0.999905i	$0.504384\pi$
$702$	0.897598	−	1.07933i	0.0338777	−	0.0407366i
$703$	−4.65211	+	4.65211i	−0.175458	+	0.175458i
$704$	−40.2699	+	24.6900i	−1.51773	+	0.930538i
$705$	−19.1061	−	25.5089i	−0.719578	−	0.960722i
$706$	−1.42343	−	15.4847i	−0.0535715	−	0.582773i
$707$	−11.0181	−	11.0181i	−0.414379	−	0.414379i
$708$	−12.7509	−	8.76205i	−0.479209	−	0.329298i
$709$			34.6107i			1.29983i	0.760006	+	0.649916i	$0.225196\pi$
$709$			34.6107i			1.29983i	−0.760006	+	0.649916i	$0.774804\pi$
$710$	−26.9444	−	1.37190i	−1.01121	−	0.0514865i
$711$		−	23.8363i		−	0.893932i
$712$	−23.2591	−	13.0223i	−0.871673	−	0.488030i
$713$	22.4363	+	22.4363i	0.840246	+	0.840246i
$714$	16.2909	−	1.49754i	0.609671	−	0.0560441i
$715$	13.0690	+	1.87557i	0.488753	+	0.0701424i
$716$	3.82147	+	20.6101i	0.142815	+	0.770236i
$717$	−29.8421	+	29.8421i	−1.11448	+	1.11448i
$718$	24.3125	+	20.2189i	0.907333	+	0.754563i
$719$	18.2520			0.680684			0.340342	−	0.940302i	$-0.389457\pi$
$719$	18.2520			0.680684			0.340342	+	0.940302i	$0.389457\pi$
$720$	16.1511	−	25.6889i	0.601915	−	0.957370i
$721$	−4.00926			−0.149312
$722$	15.7678	+	13.1129i	0.586817	+	0.488013i
$723$	−8.71209	+	8.71209i	−0.324006	+	0.324006i
$724$	−5.65960	−	30.5236i	−0.210337	−	1.13440i
$725$	−26.6868	−	7.82088i	−0.991124	−	0.290460i
$726$	84.9686	−	7.81075i	3.15348	−	0.289884i
$727$	−4.69639	−	4.69639i	−0.174179	−	0.174179i	0.614633	−	0.788813i	$-0.289304\pi$
$727$	−4.69639	−	4.69639i	−0.174179	−	0.174179i	−0.788813	+	0.614633i	$0.789304\pi$
$728$	−8.18312	−	4.58155i	−0.303286	−	0.169803i
$729$		−	33.5439i		−	1.24237i
$730$	−9.18527	+	8.29523i	−0.339962	+	0.307020i
$731$			11.2956i			0.417784i
$732$	36.7799	+	25.2740i	1.35942	+	0.934154i
$733$	−2.92353	−	2.92353i	−0.107983	−	0.107983i	0.651051	−	0.759034i	$-0.274328\pi$
$733$	−2.92353	−	2.92353i	−0.107983	−	0.107983i	−0.759034	+	0.651051i	$0.774328\pi$
$734$	−1.86790	−	20.3198i	−0.0689456	−	0.750019i
$735$	3.20791	−	22.3528i	0.118326	−	0.824495i
$736$	−22.2499	+	10.9777i	−0.820143	+	0.404642i
$737$	15.2424	−	15.2424i	0.561462	−	0.561462i
$738$	1.65317	−	1.98788i	0.0608541	−	0.0731748i
$739$	−41.5292			−1.52768			−0.763838	−	0.645408i	$-0.776687\pi$
$739$	−41.5292			−1.52768			−0.763838	+	0.645408i	$0.776687\pi$
$740$	0.565753	+	13.8603i	0.0207975	+	0.509515i
$741$	−5.36271			−0.197004
$742$	30.0755	−	36.1647i	1.10411	−	1.32765i
$743$	0.495864	−	0.495864i	0.0181915	−	0.0181915i	−0.697953	−	0.716144i	$-0.745905\pi$
$743$	0.495864	−	0.495864i	0.0181915	−	0.0181915i	0.716144	+	0.697953i	$0.245905\pi$
$744$	−49.7913	+	14.0487i	−1.82544	+	0.515050i
$745$	−13.2505	+	9.92459i	−0.485461	+	0.363609i
$746$	3.23307	+	35.1706i	0.118371	+	1.28769i
$747$	23.5296	+	23.5296i	0.860905	+	0.860905i
$748$	−9.22849	+	13.4297i	−0.337427	+	0.491039i
$749$		−	60.9186i		−	2.22592i
$750$	−36.0067	+	17.3687i	−1.31478	+	0.634214i
$751$			51.0434i			1.86260i	0.364251	+	0.931301i	$0.381325\pi$
$751$			51.0434i			1.86260i	−0.364251	+	0.931301i	$0.618675\pi$
$752$	−20.6010	−	9.16844i	−0.751242	−	0.334339i
$753$	6.80554	+	6.80554i	0.248008	+	0.248008i
$754$	−7.83262	+	0.720014i	−0.285247	+	0.0262214i
$755$	14.7741	−	11.0657i	0.537684	−	0.402724i
$756$	6.47232	−	1.20008i	0.235396	−	0.0436465i
$757$	33.0450	−	33.0450i	1.20104	−	1.20104i	0.227190	−	0.973850i	$-0.427046\pi$
$757$	33.0450	−	33.0450i	1.20104	−	1.20104i	0.973850	−	0.227190i	$-0.0729539\pi$
$758$	7.59752	+	6.31831i	0.275954	+	0.229491i
$759$	65.4767			2.37665
$760$	−13.2970	+	1.77174i	−0.482334	+	0.0642677i
$761$	−53.2090			−1.92882			−0.964412	−	0.264406i	$-0.914824\pi$
$761$	−53.2090			−1.92882			−0.964412	+	0.264406i	$0.914824\pi$
$762$	−16.7719	−	13.9480i	−0.607584	−	0.505283i
$763$	6.14958	−	6.14958i	0.222630	−	0.222630i
$764$	26.0432	−	4.82885i	0.942208	−	0.174702i
$765$	1.48702	−	10.3616i	0.0537633	−	0.374624i
$766$	16.5271	−	1.51926i	0.597148	−	0.0548929i
$767$	2.16342	+	2.16342i	0.0781167	+	0.0781167i
$768$	2.10499	−	40.3989i	0.0759572	−	1.45777i
$769$			42.2296i			1.52284i	0.648259	+	0.761420i	$0.275497\pi$
$769$			42.2296i			1.52284i	−0.648259	+	0.761420i	$0.724503\pi$
$770$	41.4949	+	45.9471i	1.49537	+	1.65582i
$771$		−	55.1528i		−	1.98628i
$772$	23.4516	−	34.1278i	0.844042	−	1.22829i
$773$	−7.25976	−	7.25976i	−0.261115	−	0.261115i	0.564392	−	0.825507i	$-0.309111\pi$
$773$	−7.25976	−	7.25976i	−0.261115	−	0.261115i	−0.825507	+	0.564392i	$0.809111\pi$
$774$	3.59526	+	39.1107i	0.129229	+	1.40580i
$775$	34.7121	+	10.1728i	1.24690	+	0.365417i
$776$	12.8332	+	45.4832i	0.460683	+	1.63275i
$777$	−18.3876	+	18.3876i	−0.659653	+	0.659653i
$778$	8.03641	−	9.66348i	0.288119	−	0.346452i
$779$	−1.14298			−0.0409514
$780$	−7.66264	+	8.31481i	−0.274366	+	0.297718i
$781$	50.3751			1.80256
$782$	−5.47260	+	6.58059i	−0.195700	+	0.235321i
$783$	3.90384	−	3.90384i	0.139512	−	0.139512i
$784$	−5.72789	−	14.9149i	−0.204567	−	0.532676i
$785$	45.2287	+	6.49089i	1.61428	+	0.231670i
$786$	2.08249	+	22.6542i	0.0742801	+	0.808050i
$787$	2.28033	+	2.28033i	0.0812851	+	0.0812851i	0.746580	−	0.665295i	$-0.231694\pi$
$787$	2.28033	+	2.28033i	0.0812851	+	0.0812851i	−0.665295	+	0.746580i	$0.731694\pi$
$788$	−40.5717	−	27.8797i	−1.44531	−	0.993172i
$789$		−	7.39350i		−	0.263216i
$790$	−1.12979	+	22.1894i	−0.0401962	+	0.789462i
$791$			51.1030i			1.81701i
$792$	−27.6788	+	49.4371i	−0.983522	+	1.75667i
$793$	−6.24037	−	6.24037i	−0.221602	−	0.221602i
$794$	−30.6284	+	2.81552i	−1.08696	+	0.0999190i
$795$	−33.9969	−	45.3899i	−1.20575	−	1.60981i
$796$	−9.58693	−	51.7047i	−0.339800	−	1.83262i
$797$	−23.7266	+	23.7266i	−0.840439	+	0.840439i	−0.988916	−	0.148477i	$-0.952563\pi$
$797$	−23.7266	+	23.7266i	−0.840439	+	0.840439i	0.148477	+	0.988916i	$0.452563\pi$
$798$	−19.3345	−	16.0791i	−0.684434	−	0.569194i
$799$	−7.77867			−0.275189
$800$	−16.2527	+	23.1484i	−0.574620	+	0.818420i
$801$	−31.9735			−1.12973
$802$	8.41151	+	6.99524i	0.297021	+	0.247011i
$803$	16.3407	−	16.3407i	0.576651	−	0.576651i
$804$	3.36560	+	18.1515i	0.118696	+	0.640154i
$805$	19.4944	+	26.0274i	0.687088	+	0.917344i
$806$	10.1880	−	0.936537i	0.358858	−	0.0329881i
$807$	1.94484	+	1.94484i	0.0684615	+	0.0684615i
$808$	−6.49336	+	11.5978i	−0.228436	+	0.408010i
$809$		−	46.5795i		−	1.63765i	−0.574045	−	0.818824i	$-0.694627\pi$
$809$		−	46.5795i		−	1.63765i	0.574045	−	0.818824i	$-0.305373\pi$
$810$	−1.23304	+	24.2172i	−0.0433246	+	0.850906i
$811$		−	14.5241i		−	0.510010i	−0.966940	−	0.255005i	$-0.917923\pi$
$811$		−	14.5241i		−	0.510010i	0.966940	−	0.255005i	$-0.0820770\pi$
$812$	−30.3982	−	20.8887i	−1.06677	−	0.733051i
$813$	−33.4086	−	33.4086i	−1.17169	−	1.17169i
$814$	−2.37097	−	25.7924i	−0.0831025	−	0.904024i
$815$	−28.6125	−	4.10625i	−1.00225	−	0.143836i
$816$	−5.00304	−	13.0275i	−0.175142	−	0.456053i
$817$	12.2774	−	12.2774i	0.429532	−	0.429532i
$818$	−6.57452	+	7.90561i	−0.229873	+	0.276413i
$819$	−11.2490			−0.393073
$820$	−1.63317	+	1.77217i	−0.0570327	+	0.0618868i
$821$	11.3924			0.397597			0.198799	−	0.980040i	$-0.436296\pi$
$821$	11.3924			0.397597			0.198799	+	0.980040i	$0.436296\pi$
$822$	2.18547	−	2.62795i	0.0762271	−	0.0916602i
$823$	−31.8998	+	31.8998i	−1.11196	+	1.11196i	−0.119072	+	0.992886i	$0.537992\pi$
$823$	−31.8998	+	31.8998i	−1.11196	+	1.11196i	−0.992886	+	0.119072i	$0.962008\pi$
$824$	0.928699	+	3.29149i	0.0323528	+	0.114665i
$825$	65.4946	−	35.8070i	2.28023	−	1.24664i
$826$	1.31329	+	14.2865i	0.0456953	+	0.497092i
$827$	−3.71377	−	3.71377i	−0.129141	−	0.129141i	0.639582	−	0.768723i	$-0.279107\pi$
$827$	−3.71377	−	3.71377i	−0.129141	−	0.129141i	−0.768723	+	0.639582i	$0.779107\pi$
$828$	−16.8541	+	24.5269i	−0.585721	+	0.852368i
$829$		−	52.6592i		−	1.82893i	−0.404666	−	0.914465i	$-0.632612\pi$
$829$		−	52.6592i		−	1.82893i	0.404666	−	0.914465i	$-0.367388\pi$
$830$	−20.7886	−	23.0191i	−0.721583	−	0.799005i
$831$		−	4.71342i		−	0.163507i
$832$	−1.86580	+	7.77938i	−0.0646850	+	0.269702i
$833$	−3.89722	−	3.89722i	−0.135031	−	0.135031i
$834$	15.8826	−	1.46001i	0.549969	−	0.0505559i
$835$	1.20243	−	8.37857i	0.0416119	−	0.289952i
$836$	24.6275	−	4.56636i	0.851760	−	0.157931i
$837$	−5.07780	+	5.07780i	−0.175514	+	0.175514i
$838$	−31.0186	−	25.7960i	−1.07152	−	0.891106i
$839$	49.5149			1.70944			0.854721	−	0.519087i	$-0.173728\pi$
$839$	49.5149			1.70944			0.854721	+	0.519087i	$0.173728\pi$
$840$	−52.5569	+	7.00286i	−1.81339	+	0.241622i
$841$	−1.93415			−0.0666947
$842$	−32.0678	−	26.6684i	−1.10513	−	0.919055i
$843$	−13.1390	+	13.1390i	−0.452532	+	0.452532i
$844$	−13.1180	+	2.43230i	−0.451540	+	0.0837232i
$845$	1.78972	−	1.34049i	0.0615681	−	0.0461143i
$846$	−26.9333	+	2.47585i	−0.925987	+	0.0851215i
$847$	−55.9499	−	55.9499i	−1.92246	−	1.92246i
$848$	−36.6569	−	16.3141i	−1.25880	−	0.560228i
$849$		−	25.2091i		−	0.865174i
$850$	−1.87539	+	9.57517i	−0.0643254	+	0.328426i
$851$		−	13.6045i		−	0.466357i
$852$	−24.4332	+	35.5563i	−0.837067	+	1.21814i
$853$	3.77420	+	3.77420i	0.129226	+	0.129226i	0.768762	−	0.639535i	$-0.220873\pi$
$853$	3.77420	+	3.77420i	0.129226	+	0.129226i	−0.639535	+	0.768762i	$0.720873\pi$
$854$	−3.78817	−	41.2093i	−0.129629	−	1.41015i
$855$	−12.8784	+	9.64589i	−0.440433	+	0.329882i
$856$	−50.0125	+	14.1111i	−1.70939	+	0.482307i
$857$	5.34477	−	5.34477i	0.182574	−	0.182574i	−0.609903	−	0.792476i	$-0.708791\pi$
$857$	5.34477	−	5.34477i	0.182574	−	0.182574i	0.792476	+	0.609903i	$0.208791\pi$
$858$	13.4995	−	16.2326i	0.460865	−	0.554173i
$859$	−16.2616			−0.554840			−0.277420	−	0.960749i	$-0.589479\pi$
$859$	−16.2616			−0.554840			−0.277420	+	0.960749i	$0.589479\pi$
$860$	−1.49308	−	36.5787i	−0.0509135	−	1.24732i
$861$	−4.51765			−0.153961
$862$	−20.2410	+	24.3390i	−0.689411	+	0.828990i
$863$	0.381854	−	0.381854i	0.0129985	−	0.0129985i	−0.700578	−	0.713576i	$-0.747074\pi$
$863$	0.381854	−	0.381854i	0.0129985	−	0.0129985i	0.713576	+	0.700578i	$0.247074\pi$
$864$	−2.48447	−	5.03562i	−0.0845235	−	0.171315i
$865$	−1.93757	+	13.5010i	−0.0658794	+	0.459049i
$866$	1.66202	+	18.0801i	0.0564777	+	0.614387i
$867$	26.9889	+	26.9889i	0.916591	+	0.916591i
$868$	39.5396	+	27.1704i	1.34206	+	0.922223i
$869$		−	41.4850i		−	1.40728i
$870$	−33.0026	+	29.8047i	−1.11889	+	1.01048i
$871$		−	3.65077i		−	0.123702i
$872$	−6.47313	−	3.62416i	−0.219208	−	0.122730i
$873$	40.0827	+	40.0827i	1.35659	+	1.35659i
$874$	13.1008	−	1.20429i	0.443140	−	0.0407357i
$875$	33.7332	+	15.3736i	1.14039	+	0.519724i
$876$	3.60811	+	19.4594i	0.121907	+	0.657473i
$877$	−23.3288	+	23.3288i	−0.787756	+	0.787756i	−0.981126	−	0.193370i	$-0.938058\pi$
$877$	−23.3288	+	23.3288i	−0.787756	+	0.787756i	0.193370	+	0.981126i	$0.438058\pi$
$878$	−0.399282	−	0.332054i	−0.0134751	−	0.0112063i
$879$	−42.7136			−1.44069
$880$	28.1095	−	44.7093i	0.947571	−	1.50715i
$881$	−1.58726			−0.0534761			−0.0267380	−	0.999642i	$-0.508512\pi$
$881$	−1.58726			−0.0534761			−0.0267380	+	0.999642i	$0.508512\pi$
$882$	−14.7344	−	12.2535i	−0.496133	−	0.412598i
$883$	6.47019	−	6.47019i	0.217739	−	0.217739i	−0.589806	−	0.807545i	$-0.700796\pi$
$883$	6.47019	−	6.47019i	0.217739	−	0.217739i	0.807545	+	0.589806i	$0.200796\pi$
$884$	0.503124	+	2.71347i	0.0169219	+	0.0912640i
$885$	17.1220	+	2.45722i	0.575548	+	0.0825985i
$886$	30.6989	−	2.82200i	1.03135	−	0.0948068i
$887$	−9.17801	−	9.17801i	−0.308167	−	0.308167i	0.536031	−	0.844198i	$-0.319923\pi$
$887$	−9.17801	−	9.17801i	−0.308167	−	0.308167i	−0.844198	+	0.536031i	$0.819923\pi$
$888$	19.3550	+	10.8365i	0.649513	+	0.363648i
$889$			20.2284i			0.678439i
$890$	29.7643	+	1.51548i	0.997700	+	0.0507988i
$891$		−	45.2763i		−	1.51681i
$892$	9.12788	+	6.27241i	0.305624	+	0.210016i
$893$	8.45474	+	8.45474i	0.282927	+	0.282927i
$894$	2.42331	+	26.3618i	0.0810477	+	0.881670i
$895$	−14.0493	−	18.7575i	−0.469616	−	0.626993i
$896$	−30.0519	+	22.4532i	−1.00396	+	0.750109i
$897$	7.84128	−	7.84128i	0.261813	−	0.261813i
$898$	36.3573	−	43.7183i	1.21326	−	1.45890i
$899$	40.2367			1.34197
$900$	−3.44581	+	33.7505i	−0.114860	+	1.12502i
$901$	−13.8411			−0.461115
$902$	2.87720	−	3.45973i	0.0958004	−	0.115196i
$903$	48.5268	−	48.5268i	1.61487	−	1.61487i
$904$	41.9542	−	11.8374i	1.39538	−	0.393707i
$905$	20.8070	+	27.7798i	0.691648	+	0.923433i
$906$	−2.70195	−	29.3929i	−0.0897663	−	0.976515i
$907$	12.0107	+	12.0107i	0.398810	+	0.398810i	0.877813	−	0.479003i	$-0.159002\pi$
$907$	12.0107	+	12.0107i	0.398810	+	0.398810i	−0.479003	+	0.877813i	$0.659002\pi$
$908$	−0.706479	+	1.02810i	−0.0234453	+	0.0341187i
$909$			15.9431i			0.528799i
$910$	10.4718	+	0.533180i	0.347136	+	0.0176748i
$911$		−	14.8483i		−	0.491947i	−0.969277	−	0.245974i	$-0.920892\pi$
$911$		−	14.8483i		−	0.491947i	0.969277	−	0.245974i	$-0.0791076\pi$
$912$	−8.72189	+	19.5976i	−0.288811	+	0.648943i
$913$	40.9513	+	40.9513i	1.35529	+	1.35529i
$914$	−18.2327	+	1.67604i	−0.603084	+	0.0554386i
$915$	−49.3881	−	7.08782i	−1.63272	−	0.234316i
$916$	12.4794	−	2.31390i	0.412333	−	0.0764535i
$917$	14.9173	−	14.9173i	0.492613	−	0.492613i
$918$	−1.48932	−	1.23856i	−0.0491550	−	0.0408786i
$919$	11.8992			0.392517			0.196259	−	0.980552i	$-0.437121\pi$
$919$	11.8992			0.392517			0.196259	+	0.980552i	$0.437121\pi$
$920$	16.8521	−	22.0333i	0.555598	−	0.726417i
$921$	2.82336			0.0930329
$922$	−31.1436	−	25.8999i	−1.02566	−	0.852967i
$923$	6.03276	−	6.03276i	0.198571	−	0.198571i
$924$	97.3411	−	18.0487i	3.20229	−	0.593759i
$925$	−7.43985	−	13.6082i	−0.244621	−	0.447436i
$926$	40.6690	−	3.73851i	1.33647	−	0.122855i
$927$	2.90067	+	2.90067i	0.0952705	+	0.0952705i
$928$	−10.1077	+	29.7948i	−0.331801	+	0.978061i
$929$			48.4616i			1.58998i	0.606626	+	0.794988i	$0.292523\pi$
$929$			48.4616i			1.58998i	−0.606626	+	0.794988i	$0.707477\pi$
$930$	42.9272	−	38.7676i	1.40764	−	1.27124i
$931$			8.47189i			0.277655i
$932$	−10.2549	+	14.9234i	−0.335911	+	0.488833i
$933$	−32.2141	−	32.2141i	−1.05464	−	1.05464i
$934$	3.91049	+	42.5399i	0.127955	+	1.39195i
$935$	2.58803	−	18.0334i	0.0846376	−	0.589756i
$936$	2.60571	+	9.23515i	0.0851704	+	0.301860i
$937$	−9.15329	+	9.15329i	−0.299025	+	0.299025i	−0.840632	−	0.541607i	$-0.817816\pi$
$937$	−9.15329	+	9.15329i	−0.299025	+	0.299025i	0.541607	+	0.840632i	$0.317816\pi$
$938$	10.9461	−	13.1623i	0.357404	−	0.429765i
$939$	69.5196			2.26869
$940$	25.1897	−	1.02820i	0.821598	−	0.0335361i
$941$	2.89295			0.0943076			0.0471538	−	0.998888i	$-0.484985\pi$
$941$	2.89295			0.0943076			0.0471538	+	0.998888i	$0.484985\pi$
$942$	46.7185	−	56.1772i	1.52217	−	1.83035i
$943$	1.67124	−	1.67124i	0.0544232	−	0.0544232i
$944$	11.4247	−	4.38749i	0.371841	−	0.142801i
$945$	−5.89053	+	4.41199i	−0.191619	+	0.143522i
$946$	6.25723	+	68.0687i	0.203440	+	2.21311i
$947$	−26.8015	−	26.8015i	−0.870932	−	0.870932i	0.121642	−	0.992574i	$-0.461184\pi$
$947$	−26.8015	−	26.8015i	−0.870932	−	0.870932i	−0.992574	+	0.121642i	$0.961184\pi$
$948$	29.2814	+	20.1213i	0.951015	+	0.653509i
$949$		−	3.91382i		−	0.127048i
$950$	12.4458	−	8.36900i	0.403794	−	0.271526i
$951$			32.2740i			1.04656i
$952$	−6.32190	+	11.2916i	−0.204894	+	0.365962i
$953$	3.36852	+	3.36852i	0.109117	+	0.109117i	0.759557	−	0.650440i	$-0.225416\pi$
$953$	3.36852	+	3.36852i	0.109117	+	0.109117i	−0.650440	+	0.759557i	$0.725416\pi$
$954$	−47.9244	+	4.40546i	−1.55161	+	0.142632i
$955$	−23.7021	+	17.7528i	−0.766983	+	0.574468i
$956$	−6.08620	−	32.8244i	−0.196842	−	1.06162i
$957$	58.7121	−	58.7121i	1.89789	−	1.89789i
$958$	−4.50567	−	3.74704i	−0.145572	−	0.121061i
$959$	−3.16953			−0.102349
$960$	17.9234	+	41.5257i	0.578475	+	1.34024i
$961$	−21.3366			−0.688278
$962$	−3.37276	−	2.80488i	−0.108742	−	0.0904329i
$963$	−44.0742	+	44.0742i	−1.42027	+	1.42027i
$964$	−1.77680	−	9.58272i	−0.0572269	−	0.308639i
$965$	−6.57675	+	45.8269i	−0.211713	+	1.47522i
$966$	51.7813	−	4.76000i	1.66603	−	0.153150i
$967$	−8.63935	−	8.63935i	−0.277823	−	0.277823i	0.554417	−	0.832239i	$-0.312941\pi$
$967$	−8.63935	−	8.63935i	−0.277823	−	0.277823i	−0.832239	+	0.554417i	$0.812941\pi$
$968$	−32.9732	+	58.8936i	−1.05980	+	1.89291i
$969$			7.39980i			0.237716i
$970$	−35.4134	−	39.2130i	−1.13705	−	1.25905i
$971$			0.617122i			0.0198044i	0.999951	+	0.00990220i	$0.00315202\pi$
$971$			0.617122i			0.0198044i	−0.999951	+	0.00990220i	$0.996848\pi$
$972$	36.8659	+	25.3332i	1.18248	+	0.812562i
$973$	−10.4583	−	10.4583i	−0.335278	−	0.335278i
$974$	4.52154	+	49.1872i	0.144879	+	1.57606i
$975$	3.55529	−	12.1316i	0.113861	−	0.388521i
$976$	−32.9543	+	12.6557i	−1.05484	+	0.405098i
$977$	−33.6160	+	33.6160i	−1.07547	+	1.07547i	−0.0785608	+	0.996909i	$0.525032\pi$
$977$	−33.6160	+	33.6160i	−1.07547	+	1.07547i	−0.996909	+	0.0785608i	$0.974968\pi$
$978$	−29.5549	+	35.5387i	−0.945063	+	1.13640i
$979$	−55.6470			−1.77849
$980$	13.1355	+	12.1053i	0.419600	+	0.386688i
$981$	−8.89837			−0.284103
$982$	17.4690	−	21.0058i	0.557458	−	0.670322i
$983$	−27.8829	+	27.8829i	−0.889327	+	0.889327i	−0.994458	−	0.105131i	$-0.966474\pi$
$983$	−27.8829	+	27.8829i	−0.889327	+	0.889327i	0.105131	+	0.994458i	$0.466474\pi$
$984$	1.04646	+	3.70887i	0.0333600	+	0.118234i
$985$	54.4798	+	7.81855i	1.73587	+	0.249120i
$986$	0.993520	+	10.8079i	0.0316401	+	0.344194i
$987$	33.4177	+	33.4177i	1.06370	+	1.06370i
$988$	2.40246	−	3.49617i	0.0764324	−	0.111228i
$989$			35.9036i			1.14167i
$990$	3.22113	−	63.2638i	0.102374	−	2.01065i
$991$			1.39819i			0.0444150i	0.999753	+	0.0222075i	$0.00706945\pi$
$991$			1.39819i			0.0444150i	−0.999753	+	0.0222075i	$0.992931\pi$
$992$	13.1473	−	38.7546i	0.417426	−	1.23046i
$993$	3.68644	+	3.68644i	0.116986	+	0.116986i
$994$	39.8384	−	3.66215i	1.26360	−	0.116156i
$995$	35.2455	+	47.0570i	1.11736	+	1.49181i
$996$	−48.7671	+	9.04225i	−1.54524	+	0.286515i
$997$	−24.4024	+	24.4024i	−0.772832	+	0.772832i	−0.978601	−	0.205769i	$-0.934030\pi$
$997$	−24.4024	+	24.4024i	−0.772832	+	0.772832i	0.205769	+	0.978601i	$0.434030\pi$
$998$	5.22122	+	4.34211i	0.165275	+	0.137447i
$999$	3.07898			0.0974146

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.o.a.183.9	yes	72
4.3	odd	2	inner	260.2.o.a.183.26	yes	72
5.2	odd	4	inner	260.2.o.a.27.26	yes	72
20.7	even	4	inner	260.2.o.a.27.9	✓	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.o.a.27.9	✓	72	20.7	even	4	inner
260.2.o.a.27.26	yes	72	5.2	odd	4	inner
260.2.o.a.183.9	yes	72	1.1	even	1	trivial
260.2.o.a.183.26	yes	72	4.3	odd	2	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.o (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.08734 - 0.904262i) q^{2} +(1.78782 - 1.78782i) q^{3} +(0.364619 + 1.96648i) q^{4} +(-1.34049 - 1.78972i) q^{5} +(-3.56063 + 0.327311i) q^{6} +(2.34459 + 2.34459i) q^{7} +(1.38175 - 2.46795i) q^{8} -3.39260i q^{9} +O(q^{10})\)	\(q+(-1.08734 - 0.904262i) q^{2} +(1.78782 - 1.78782i) q^{3} +(0.364619 + 1.96648i) q^{4} +(-1.34049 - 1.78972i) q^{5} +(-3.56063 + 0.327311i) q^{6} +(2.34459 + 2.34459i) q^{7} +(1.38175 - 2.46795i) q^{8} -3.39260i q^{9} +(-0.160802 + 3.15819i) q^{10} -5.90452i q^{11} +(4.16759 + 2.86384i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(-0.429245 - 4.66950i) q^{14} +(-5.59625 - 0.803133i) q^{15} +(-3.73411 + 1.43404i) q^{16} +(-0.975710 + 0.975710i) q^{17} +(-3.06780 + 3.68891i) q^{18} +2.12103 q^{19} +(3.03068 - 3.28862i) q^{20} +8.38342 q^{21} +(-5.33924 + 6.42023i) q^{22} +(-3.10133 + 3.10133i) q^{23} +(-1.94193 - 6.88257i) q^{24} +(-1.40617 + 4.79820i) q^{25} +(0.129456 + 1.40828i) q^{26} +(-0.701895 - 0.701895i) q^{27} +(-3.75572 + 5.46549i) q^{28} +5.56185i q^{29} +(5.35878 + 5.93375i) q^{30} -7.23441i q^{31} +(5.35699 + 1.81733i) q^{32} +(-10.5562 - 10.5562i) q^{33} +(1.94323 - 0.178631i) q^{34} +(1.05325 - 7.33907i) q^{35} +(6.67149 - 1.23701i) q^{36} +(-2.19333 + 2.19333i) q^{37} +(-2.30628 - 1.91796i) q^{38} -2.52836 q^{39} +(-6.26915 + 0.835322i) q^{40} -0.538879 q^{41} +(-9.11564 - 7.58081i) q^{42} +(5.78842 - 5.78842i) q^{43} +(11.6111 - 2.15290i) q^{44} +(-6.07179 + 4.54775i) q^{45} +(6.17662 - 0.567787i) q^{46} +(3.98616 + 3.98616i) q^{47} +(-4.11211 + 9.23970i) q^{48} +3.99424i q^{49} +(5.86781 - 3.94573i) q^{50} +3.48879i q^{51} +(1.13269 - 1.64834i) q^{52} +(7.09286 + 7.09286i) q^{53} +(0.128502 + 1.39790i) q^{54} +(-10.5674 + 7.91496i) q^{55} +(9.02598 - 2.54669i) q^{56} +(3.79201 - 3.79201i) q^{57} +(5.02937 - 6.04762i) q^{58} -3.05954 q^{59} +(-0.461154 - 11.2978i) q^{60} +8.82521 q^{61} +(-6.54180 + 7.86626i) q^{62} +(7.95427 - 7.95427i) q^{63} +(-4.18153 - 6.82017i) q^{64} +(-0.317650 + 2.21339i) q^{65} +(1.93262 + 21.0238i) q^{66} +(2.58148 + 2.58148i) q^{67} +(-2.27448 - 1.56295i) q^{68} +11.0892i q^{69} +(-7.78168 + 7.02765i) q^{70} +8.53161i q^{71} +(-8.37276 - 4.68772i) q^{72} +(2.76749 + 2.76749i) q^{73} +(4.36825 - 0.401552i) q^{74} +(6.06434 + 11.0923i) q^{75} +(0.773367 + 4.17096i) q^{76} +(13.8437 - 13.8437i) q^{77} +(2.74919 + 2.28630i) q^{78} +7.02598 q^{79} +(7.57205 + 4.76068i) q^{80} +7.66807 q^{81} +(0.585945 + 0.487288i) q^{82} +(-6.93558 + 6.93558i) q^{83} +(3.05676 + 16.4859i) q^{84} +(3.05417 + 0.438313i) q^{85} +(-11.5282 + 1.05974i) q^{86} +(9.94358 + 9.94358i) q^{87} +(-14.5721 - 8.15857i) q^{88} -9.42448i q^{89} +(10.7145 + 0.545537i) q^{90} -3.31576i q^{91} +(-7.22952 - 4.96791i) q^{92} +(-12.9338 - 12.9338i) q^{93} +(-0.729780 - 7.93885i) q^{94} +(-2.84322 - 3.79603i) q^{95} +(12.8264 - 6.32828i) q^{96} +(-11.8148 + 11.8148i) q^{97} +(3.61184 - 4.34310i) q^{98} -20.0317 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) 72 * q - 8 * q^6 - 12 * q^8	\( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) 72 * q - 8 * q^6 - 12 * q^8 - 8 * q^10 - 8 * q^12 - 8 * q^16 + 28 * q^18 - 16 * q^21 - 8 * q^22 - 20 * q^28 - 32 * q^30 - 40 * q^32 + 16 * q^33 + 32 * q^36 - 12 * q^38 - 8 * q^40 - 40 * q^42 - 8 * q^46 + 60 * q^48 + 40 * q^50 + 8 * q^52 - 48 * q^53 + 8 * q^56 - 60 * q^58 + 20 * q^60 - 64 * q^61 + 60 * q^62 + 8 * q^66 - 16 * q^68 - 60 * q^70 + 40 * q^72 - 16 * q^73 - 72 * q^76 + 48 * q^77 - 20 * q^80 + 8 * q^81 - 12 * q^82 + 48 * q^85 + 48 * q^86 + 12 * q^88 + 44 * q^90 - 36 * q^92 + 16 * q^93 + 32 * q^96 - 80 * q^97 - 32 * q^98

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