LMFDB - Embedded newform 605.2.j.k.124.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(9,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 6]))

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

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

chi := DirichletCharacter("605.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.j (of order $10$, degree $4$, not 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:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			124.3
Character	$\chi$	$=$	605.124
Dual form			605.2.j.k.444.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.18898 - 1.63648i) q^{2} +(-2.77210 + 0.900709i) q^{3} +(-0.646385 + 1.98937i) q^{4} +(-2.08073 + 0.818876i) q^{5} +(4.76995 + 3.46557i) q^{6} +(3.05411 + 0.992339i) q^{7} +(0.176498 - 0.0573478i) q^{8} +(4.44619 - 3.23035i) q^{9} +O(q^{10})$	\(q+(-1.18898 - 1.63648i) q^{2} +(-2.77210 + 0.900709i) q^{3} +(-0.646385 + 1.98937i) q^{4} +(-2.08073 + 0.818876i) q^{5} +(4.76995 + 3.46557i) q^{6} +(3.05411 + 0.992339i) q^{7} +(0.176498 - 0.0573478i) q^{8} +(4.44619 - 3.23035i) q^{9} +(3.81402 + 2.43146i) q^{10} -6.09692i q^{12} +(-0.381328 - 0.524853i) q^{13} +(-2.00731 - 6.17786i) q^{14} +(5.03042 - 4.14414i) q^{15} +(3.08081 + 2.23834i) q^{16} +(0.698566 - 0.961493i) q^{17} +(-10.5728 - 3.43532i) q^{18} +(0.584338 + 1.79841i) q^{19} +(-0.284093 - 4.66865i) q^{20} -9.36008 q^{21} -4.35986i q^{23} +(-0.437617 + 0.317947i) q^{24} +(3.65888 - 3.40772i) q^{25} +(-0.405524 + 1.24807i) q^{26} +(-4.27591 + 5.88529i) q^{27} +(-3.94825 + 5.43431i) q^{28} +(-1.28673 + 3.96013i) q^{29} +(-12.7629 - 3.30492i) q^{30} +(-6.39110 + 4.64341i) q^{31} -8.07420i q^{32} -2.40405 q^{34} +(-7.16738 + 0.436144i) q^{35} +(3.55239 + 10.9331i) q^{36} +(-1.95774 - 0.636109i) q^{37} +(2.24830 - 3.09452i) q^{38} +(1.52982 + 1.11148i) q^{39} +(-0.320285 + 0.263856i) q^{40} +(1.02136 + 3.14343i) q^{41} +(11.1289 + 15.3176i) q^{42} +10.9313i q^{43} +(-6.60607 + 10.3624i) q^{45} +(-7.13485 + 5.18377i) q^{46} +(-2.77210 + 0.900709i) q^{47} +(-10.5564 - 3.42998i) q^{48} +(2.67971 + 1.94692i) q^{49} +(-9.92701 - 1.93601i) q^{50} +(-1.07047 + 3.29456i) q^{51} +(1.29061 - 0.419344i) q^{52} +(-3.77262 - 5.19256i) q^{53} +14.7151 q^{54} +0.595953 q^{56} +(-3.23968 - 4.45904i) q^{57} +(8.01058 - 2.60280i) q^{58} +(1.14842 - 3.53446i) q^{59} +(4.99262 + 12.6861i) q^{60} +(-6.29977 - 4.57705i) q^{61} +(15.1977 + 4.93804i) q^{62} +(16.7847 - 5.45369i) q^{63} +(-7.05167 + 5.12334i) q^{64} +(1.22323 + 0.779817i) q^{65} -2.37993i q^{67} +(1.46122 + 2.01120i) q^{68} +(3.92697 + 12.0860i) q^{69} +(9.23558 + 11.2107i) q^{70} +(-12.7148 - 9.23784i) q^{71} +(0.599492 - 0.825129i) q^{72} +(-5.43460 - 1.76581i) q^{73} +(1.28673 + 3.96013i) q^{74} +(-7.07341 + 12.7421i) q^{75} -3.95540 q^{76} -3.82504i q^{78} +(12.3424 - 8.96729i) q^{79} +(-8.24327 - 2.13458i) q^{80} +(1.45743 - 4.48551i) q^{81} +(3.92980 - 5.40890i) q^{82} +(-6.25211 + 8.60529i) q^{83} +(6.05021 - 18.6206i) q^{84} +(-0.666184 + 2.57265i) q^{85} +(17.8890 - 12.9971i) q^{86} -12.1368i q^{87} -9.00000 q^{89} +(24.8123 - 1.50986i) q^{90} +(-0.643784 - 1.98136i) q^{91} +(8.67337 + 2.81815i) q^{92} +(13.5344 - 18.6285i) q^{93} +(4.76995 + 3.46557i) q^{94} +(-2.68852 - 3.26350i) q^{95} +(7.27250 + 22.3825i) q^{96} +(-8.89794 - 12.2470i) q^{97} -6.70015i q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 20 q^{4} + 6 q^{5} + 20 q^{9}+O(q^{10}) $ 48 * q + 20 * q^4 + 6 * q^5 + 20 * q^9	$ 48 q + 20 q^{4} + 6 q^{5} + 20 q^{9} + 32 q^{14} - 20 q^{15} - 36 q^{16} - 26 q^{20} + 10 q^{25} - 20 q^{26} - 8 q^{31} + 48 q^{34} - 92 q^{36} - 72 q^{45} + 4 q^{49} + 192 q^{56} + 32 q^{59} + 92 q^{60} - 28 q^{64} + 16 q^{69} + 12 q^{70} - 112 q^{71} - 36 q^{75} + 106 q^{80} + 20 q^{81} + 56 q^{86} - 432 q^{89} - 72 q^{91}+O(q^{100}) $ 48 * q + 20 * q^4 + 6 * q^5 + 20 * q^9 + 32 * q^14 - 20 * q^15 - 36 * q^16 - 26 * q^20 + 10 * q^25 - 20 * q^26 - 8 * q^31 + 48 * q^34 - 92 * q^36 - 72 * q^45 + 4 * q^49 + 192 * q^56 + 32 * q^59 + 92 * q^60 - 28 * q^64 + 16 * q^69 + 12 * q^70 - 112 * q^71 - 36 * q^75 + 106 * q^80 + 20 * q^81 + 56 * q^86 - 432 * q^89 - 72 * q^91

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$-1$	$e\left(\frac{4}{5}\right)$

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 $

$2$	−1.18898	−	1.63648i	−0.840733	−	1.15717i	−0.985829	−	0.167752i	$-0.946349\pi$
$2$	−1.18898	−	1.63648i	−0.840733	−	1.15717i	0.145097	−	0.989417i	$-0.453651\pi$
$3$	−2.77210	+	0.900709i	−1.60047	+	0.520024i	−0.967224	−	0.253926i	$-0.918278\pi$
$3$	−2.77210	+	0.900709i	−1.60047	+	0.520024i	−0.633247	+	0.773950i	$0.718278\pi$
$4$	−0.646385	+	1.98937i	−0.323192	+	0.994684i
$5$	−2.08073	+	0.818876i	−0.930531	+	0.366213i
$5$	−2.08073	+	0.818876i	−0.930531	+	0.366213i
$6$	4.76995	+	3.46557i	1.94732	+	1.41481i
$7$	3.05411	+	0.992339i	1.15434	+	0.375069i	0.822778	−	0.568363i	$-0.192423\pi$
$7$	3.05411	+	0.992339i	1.15434	+	0.375069i	0.331566	+	0.943432i	$0.392423\pi$
$8$	0.176498	−	0.0573478i	0.0624016	−	0.0202755i
$9$	4.44619	−	3.23035i	1.48206	−	1.07678i
$10$	3.81402	+	2.43146i	1.20610	+	0.768895i
$11$		0			0
$11$		0			0
$12$		−	6.09692i		−	1.76003i
$13$	−0.381328	−	0.524853i	−0.105761	−	0.145568i	0.752856	−	0.658186i	$-0.228676\pi$
$13$	−0.381328	−	0.524853i	−0.105761	−	0.145568i	−0.858617	+	0.512618i	$0.828676\pi$
$14$	−2.00731	−	6.17786i	−0.536476	−	1.65110i
$15$	5.03042	−	4.14414i	1.29885	−	1.07001i
$16$	3.08081	+	2.23834i	0.770203	+	0.559585i
$17$	0.698566	−	0.961493i	0.169427	−	0.233196i	−0.715857	−	0.698247i	$-0.753964\pi$
$17$	0.698566	−	0.961493i	0.169427	−	0.233196i	0.885284	+	0.465050i	$0.153964\pi$
$18$	−10.5728	−	3.43532i	−2.49204	−	0.809712i
$19$	0.584338	+	1.79841i	0.134056	+	0.412583i	0.995442	−	0.0953685i	$-0.0304030\pi$
$19$	0.584338	+	1.79841i	0.134056	+	0.412583i	−0.861386	+	0.507951i	$0.830403\pi$
$20$	−0.284093	−	4.66865i	−0.0635251	−	1.04394i
$21$	−9.36008			−2.04254
$22$		0			0
$23$		−	4.35986i		−	0.909095i	−0.890723	−	0.454547i	$-0.849801\pi$
$23$		−	4.35986i		−	0.909095i	0.890723	−	0.454547i	$-0.150199\pi$
$24$	−0.437617	+	0.317947i	−0.0893281	+	0.0649007i
$25$	3.65888	−	3.40772i	0.731777	−	0.681544i
$26$	−0.405524	+	1.24807i	−0.0795298	+	0.244767i
$27$	−4.27591	+	5.88529i	−0.822900	+	1.13262i
$28$	−3.94825	+	5.43431i	−0.746150	+	1.02699i
$29$	−1.28673	+	3.96013i	−0.238939	+	0.735378i	0.757635	+	0.652678i	$0.226355\pi$
$29$	−1.28673	+	3.96013i	−0.238939	+	0.735378i	−0.996574	+	0.0827006i	$0.973645\pi$
$30$	−12.7629	−	3.30492i	−2.33017	−	0.603394i
$31$	−6.39110	+	4.64341i	−1.14788	+	0.833981i	−0.988197	−	0.153188i	$-0.951046\pi$
$31$	−6.39110	+	4.64341i	−1.14788	+	0.833981i	−0.159679	+	0.987169i	$0.551046\pi$
$32$		−	8.07420i		−	1.42733i
$33$		0			0
$34$	−2.40405			−0.412291
$35$	−7.16738	+	0.436144i	−1.21151	+	0.0737217i
$36$	3.55239	+	10.9331i	0.592066	+	1.82219i
$37$	−1.95774	−	0.636109i	−0.321851	−	0.104576i	0.143636	−	0.989631i	$-0.454121\pi$
$37$	−1.95774	−	0.636109i	−0.321851	−	0.104576i	−0.465487	+	0.885055i	$0.654121\pi$
$38$	2.24830	−	3.09452i	0.364723	−	0.501998i
$39$	1.52982	+	1.11148i	0.244967	+	0.177979i
$40$	−0.320285	+	0.263856i	−0.0506415	+	0.0417192i
$41$	1.02136	+	3.14343i	0.159510	+	0.490921i	0.998590	−	0.0530871i	$-0.0169061\pi$
$41$	1.02136	+	3.14343i	0.159510	+	0.490921i	−0.839080	+	0.544008i	$0.816906\pi$
$42$	11.1289	+	15.3176i	1.71723	+	2.36356i
$43$			10.9313i			1.66701i	0.552509	+	0.833507i	$0.313670\pi$
$43$			10.9313i			1.66701i	−0.552509	+	0.833507i	$0.686330\pi$
$44$		0			0
$45$	−6.60607	+	10.3624i	−0.984775	+	1.54473i
$46$	−7.13485	+	5.18377i	−1.05198	+	0.764306i
$47$	−2.77210	+	0.900709i	−0.404352	+	0.131382i	−0.504130	−	0.863628i	$-0.668187\pi$
$47$	−2.77210	+	0.900709i	−0.404352	+	0.131382i	0.0997781	+	0.995010i	$0.468187\pi$
$48$	−10.5564	−	3.42998i	−1.52369	−	0.495075i
$49$	2.67971	+	1.94692i	0.382816	+	0.278132i
$50$	−9.92701	−	1.93601i	−1.40389	−	0.273793i
$51$	−1.07047	+	3.29456i	−0.149895	+	0.461330i
$52$	1.29061	−	0.419344i	0.178975	−	0.0581526i
$53$	−3.77262	−	5.19256i	−0.518209	−	0.713253i	0.467068	−	0.884221i	$-0.345310\pi$
$53$	−3.77262	−	5.19256i	−0.518209	−	0.713253i	−0.985276	+	0.170969i	$0.945310\pi$
$54$	14.7151			2.00248
$55$		0			0
$56$	0.595953			0.0796376
$57$	−3.23968	−	4.45904i	−0.429106	−	0.590614i
$58$	8.01058	−	2.60280i	1.05184	−	0.341764i
$59$	1.14842	−	3.53446i	0.149511	−	0.460147i	−0.848053	−	0.529912i	$-0.822225\pi$
$59$	1.14842	−	3.53446i	0.149511	−	0.460147i	0.997563	+	0.0697649i	$0.0222249\pi$
$60$	4.99262	+	12.6861i	0.644545	+	1.63776i
$61$	−6.29977	−	4.57705i	−0.806602	−	0.586031i	0.106241	−	0.994340i	$-0.466118\pi$
$61$	−6.29977	−	4.57705i	−0.806602	−	0.586031i	−0.912844	+	0.408309i	$0.866118\pi$
$62$	15.1977	+	4.93804i	1.93011	+	0.627132i
$63$	16.7847	−	5.45369i	2.11468	−	0.687100i
$64$	−7.05167	+	5.12334i	−0.881459	+	0.640418i
$65$	1.22323	+	0.779817i	0.151723	+	0.0967244i
$66$		0			0
$67$		−	2.37993i		−	0.290755i	−0.989376	−	0.145377i	$-0.953560\pi$
$67$		−	2.37993i		−	0.290755i	0.989376	−	0.145377i	$-0.0464396\pi$
$68$	1.46122	+	2.01120i	0.177199	+	0.243894i
$69$	3.92697	+	12.0860i	0.472751	+	1.45498i
$70$	9.23558	+	11.2107i	1.10386	+	1.33994i
$71$	−12.7148	−	9.23784i	−1.50897	−	1.09633i	−0.966632	−	0.256168i	$-0.917540\pi$
$71$	−12.7148	−	9.23784i	−1.50897	−	1.09633i	−0.542336	−	0.840162i	$-0.682460\pi$
$72$	0.599492	−	0.825129i	0.0706508	−	0.0972424i
$73$	−5.43460	−	1.76581i	−0.636072	−	0.206672i	−0.0268093	−	0.999641i	$-0.508535\pi$
$73$	−5.43460	−	1.76581i	−0.636072	−	0.206672i	−0.609263	+	0.792968i	$0.708535\pi$
$74$	1.28673	+	3.96013i	0.149579	+	0.460356i
$75$	−7.07341	+	12.7421i	−0.816767	+	1.47133i
$76$	−3.95540			−0.453715
$77$		0			0
$78$		−	3.82504i		−	0.433100i
$79$	12.3424	−	8.96729i	1.38863	−	1.00890i	0.392616	−	0.919702i	$-0.371570\pi$
$79$	12.3424	−	8.96729i	1.38863	−	1.00890i	0.996014	−	0.0891967i	$-0.0284300\pi$
$80$	−8.24327	−	2.13458i	−0.921625	−	0.238654i
$81$	1.45743	−	4.48551i	0.161937	−	0.498391i
$82$	3.92980	−	5.40890i	0.433973	−	0.597313i
$83$	−6.25211	+	8.60529i	−0.686258	+	0.944553i	−0.999988	−	0.00495917i	$-0.998421\pi$
$83$	−6.25211	+	8.60529i	−0.686258	+	0.944553i	0.313730	+	0.949512i	$0.398421\pi$
$84$	6.05021	−	18.6206i	0.660132	−	2.03168i
$85$	−0.666184	+	2.57265i	−0.0722578	+	0.279043i
$86$	17.8890	−	12.9971i	1.92902	−	1.40151i
$87$		−	12.1368i		−	1.30121i
$88$		0			0
$89$	−9.00000			−0.953998			−0.476999	−	0.878904i	$-0.658275\pi$
$89$	−9.00000			−0.953998			−0.476999	+	0.878904i	$0.658275\pi$
$90$	24.8123	−	1.50986i	2.61545	−	0.159153i
$91$	−0.643784	−	1.98136i	−0.0674869	−	0.207703i
$92$	8.67337	+	2.81815i	0.904261	+	0.293812i
$93$	13.5344	−	18.6285i	1.40345	−	1.93168i
$94$	4.76995	+	3.46557i	0.491983	+	0.357446i
$95$	−2.68852	−	3.26350i	−0.275837	−	0.334828i
$96$	7.27250	+	22.3825i	0.742246	+	2.28440i
$97$	−8.89794	−	12.2470i	−0.903449	−	1.24349i	−0.969355	−	0.245665i	$-0.920994\pi$
$97$	−8.89794	−	12.2470i	−0.903449	−	1.24349i	0.0659054	−	0.997826i	$-0.479006\pi$
$98$		−	6.70015i		−	0.676817i
$99$		0			0
$100$	4.41416	+	9.48156i	0.441416	+	0.948156i
$101$	−4.51283	+	3.27877i	−0.449044	+	0.326249i	−0.789218	−	0.614113i	$-0.789514\pi$
$101$	−4.51283	+	3.27877i	−0.449044	+	0.326249i	0.340174	+	0.940362i	$0.389514\pi$
$102$	6.66425	−	2.16535i	0.659859	−	0.214401i
$103$	3.02642	+	0.983344i	0.298202	+	0.0968917i	0.454297	−	0.890850i	$-0.349891\pi$
$103$	3.02642	+	0.983344i	0.298202	+	0.0968917i	−0.156095	+	0.987742i	$0.549891\pi$
$104$	−0.0974028	−	0.0707673i	−0.00955113	−	0.00693930i
$105$	19.4758	−	7.66475i	1.90065	−	0.748003i
$106$	−4.01200	+	12.3477i	−0.389679	+	1.19931i
$107$	3.77481	−	1.22651i	0.364924	−	0.118571i	−0.120814	−	0.992675i	$-0.538551\pi$
$107$	3.77481	−	1.22651i	0.364924	−	0.118571i	0.485739	+	0.874104i	$0.338551\pi$
$108$	−8.94412	−	12.3105i	−0.860648	−	1.18458i
$109$	−15.4150			−1.47649			−0.738243	−	0.674535i	$-0.764344\pi$
$109$	−15.4150			−1.47649			−0.738243	+	0.674535i	$0.764344\pi$
$110$		0			0
$111$	6.00000			0.569495
$112$	7.18794	+	9.89334i	0.679196	+	0.934833i
$113$	−9.63929	+	3.13200i	−0.906788	+	0.294633i	−0.725036	−	0.688711i	$-0.758177\pi$
$113$	−9.63929	+	3.13200i	−0.906788	+	0.294633i	−0.181752	+	0.983344i	$0.558177\pi$
$114$	−3.44525	+	10.6034i	−0.322677	+	0.993097i
$115$	3.57019	+	9.07171i	0.332922	+	0.845941i
$116$	−7.04644	−	5.11954i	−0.654246	−	0.475337i
$117$	−3.39091	−	1.10177i	−0.313490	−	0.101859i
$118$	−7.14952	+	2.32302i	−0.658167	+	0.213851i
$119$	3.08762	−	2.24329i	0.283042	−	0.205642i
$120$	0.650203	−	1.01992i	0.0593552	−	0.0931052i
$121$		0			0
$122$			15.7515i			1.42607i
$123$	−5.66262	−	7.79393i	−0.510582	−	0.702755i
$124$	−5.10633	−	15.7157i	−0.458562	−	1.41131i
$125$	−4.82265	+	10.0867i	−0.431351	+	0.902184i
$126$	−28.8815	−	20.9836i	−2.57297	−	1.86937i
$127$	9.66496	−	13.3027i	0.857627	−	1.18042i	−0.124504	−	0.992219i	$-0.539734\pi$
$127$	9.66496	−	13.3027i	0.857627	−	1.18042i	0.982130	−	0.188203i	$-0.0602662\pi$
$128$	1.41050	+	0.458299i	0.124672	+	0.0405083i
$129$	−9.84595	−	30.3027i	−0.866888	−	2.66801i
$130$	−0.178232	−	2.92898i	−0.0156320	−	0.256889i
$131$	14.0007			1.22325			0.611625	−	0.791148i	$-0.290516\pi$
$131$	14.0007			1.22325			0.611625	+	0.791148i	$0.290516\pi$
$132$		0			0
$133$			6.07239i			0.526543i
$134$	−3.89472	+	2.82968i	−0.336452	+	0.244447i
$135$	4.07770	−	15.7471i	0.350953	−	1.35530i
$136$	0.0681562	−	0.209763i	0.00584434	−	0.0179870i
$137$	−8.09470	+	11.1414i	−0.691577	+	0.951874i	0.308423	+	0.951249i	$0.400199\pi$
$137$	−8.09470	+	11.1414i	−0.691577	+	0.951874i	−1.00000		0.000624937i	$0.999801\pi$
$138$	15.1094	−	20.7963i	1.28620	−	1.77030i
$139$	−2.08732	+	6.42412i	−0.177044	+	0.544887i	−0.999721	−	0.0236231i	$-0.992480\pi$
$139$	−2.08732	+	6.42412i	−0.177044	+	0.544887i	0.822677	+	0.568510i	$0.192480\pi$
$140$	3.76523	−	14.5405i	0.318220	−	1.22889i
$141$	6.87324	−	4.99370i	0.578831	−	0.420545i
$142$			31.7911i			2.66785i
$143$		0			0
$144$	20.9285			1.74404
$145$	−0.565529	−	9.29364i	−0.0469647	−	0.771795i
$146$	3.57189	+	10.9932i	0.295612	+	0.909800i
$147$	−9.18202	−	2.98342i	−0.757320	−	0.246068i
$148$	2.53091	−	3.48350i	0.208039	−	0.286342i
$149$	−15.5306	−	11.2836i	−1.27232	−	0.924392i	−0.273025	−	0.962007i	$-0.588024\pi$
$149$	−15.5306	−	11.2836i	−1.27232	−	0.924392i	−0.999292	+	0.0376147i	$0.988024\pi$
$150$	29.2624	−	3.57454i	2.38926	−	0.291860i
$151$	−1.01686	−	3.12956i	−0.0827506	−	0.254680i	0.901118	−	0.433575i	$-0.142748\pi$
$151$	−1.01686	−	3.12956i	−0.0827506	−	0.254680i	−0.983868	+	0.178894i	$0.942748\pi$
$152$	0.206269	+	0.283905i	0.0167306	+	0.0230278i
$153$		−	6.53159i		−	0.528048i
$154$		0			0
$155$	9.49579	−	14.8952i	0.762720	−	1.19641i
$156$	−3.19998	+	2.32493i	−0.256204	+	0.186143i
$157$	−13.3285	+	4.33069i	−1.06373	+	0.345627i	−0.788043	−	0.615621i	$-0.788905\pi$
$157$	−13.3285	+	4.33069i	−1.06373	+	0.345627i	−0.275687	+	0.961247i	$0.588905\pi$
$158$	−29.3497	−	9.53628i	−2.33493	−	0.758666i
$159$	15.1350	+	10.9962i	1.20029	+	0.872059i
$160$	6.61177	+	16.8002i	0.522706	+	1.32818i
$161$	4.32646	−	13.3155i	0.340973	−	1.04941i
$162$	−9.07333	+	2.94810i	−0.712868	+	0.231625i
$163$	6.06709	+	8.35064i	0.475211	+	0.654072i	0.977576	−	0.210584i	$-0.0675364\pi$
$163$	6.06709	+	8.35064i	0.475211	+	0.654072i	−0.502365	+	0.864656i	$0.667536\pi$
$164$	−6.91362			−0.539863
$165$		0			0
$166$	21.5160			1.66997
$167$	8.58507	+	11.8163i	0.664332	+	0.914375i	0.999615	−	0.0277424i	$-0.00883182\pi$
$167$	8.58507	+	11.8163i	0.664332	+	0.914375i	−0.335283	+	0.942118i	$0.608832\pi$
$168$	−1.65204	+	0.536780i	−0.127458	+	0.0414135i
$169$	3.88716	−	11.9635i	0.299012	−	0.920266i
$170$	5.00218	−	1.96862i	0.383649	−	0.150986i
$171$	8.40755	+	6.10844i	0.642942	+	0.467124i
$172$	−21.7464	−	7.06585i	−1.65815	−	0.538766i
$173$	−2.10030	+	0.682429i	−0.159683	+	0.0518841i	−0.387768	−	0.921757i	$-0.626754\pi$
$173$	−2.10030	+	0.682429i	−0.159683	+	0.0518841i	0.228085	+	0.973641i	$0.426754\pi$
$174$	−19.8617	+	14.4304i	−1.50571	+	1.09397i
$175$	14.5562	−	6.77669i	1.10035	−	0.512270i
$176$		0			0
$177$			10.8322i			0.814201i
$178$	10.7008	+	14.7284i	0.802057	+	1.10394i
$179$	−3.33988	−	10.2791i	−0.249635	−	0.768297i	−0.994840	−	0.101461i	$-0.967648\pi$
$179$	−3.33988	−	10.2791i	−0.249635	−	0.768297i	0.745205	−	0.666836i	$-0.232352\pi$
$180$	−16.3445	−	19.8400i	−1.21825	−	1.47878i
$181$	2.72394	+	1.97906i	0.202469	+	0.147102i	0.684400	−	0.729107i	$-0.260064\pi$
$181$	2.72394	+	1.97906i	0.202469	+	0.147102i	−0.481931	+	0.876209i	$0.660064\pi$
$182$	−2.47703	+	3.40933i	−0.183609	+	0.252717i
$183$	21.5861	+	7.01376i	1.59569	+	0.518472i
$184$	−0.250029	−	0.769509i	−0.0184323	−	0.0567289i
$185$	4.59443	−	0.279577i	0.337789	−	0.0205549i
$186$	−46.5773			−3.41521
$187$		0			0
$188$		−	6.09692i		−	0.444664i
$189$	−18.8993	+	13.7311i	−1.37472	+	0.998794i
$190$	−2.14408	+	8.27995i	−0.155548	+	0.600691i
$191$	2.86620	−	8.82127i	0.207391	−	0.638285i	−0.792215	−	0.610242i	$-0.791072\pi$
$191$	2.86620	−	8.82127i	0.207391	−	0.638285i	0.999607	−	0.0280432i	$-0.00892761\pi$
$192$	14.9333	−	20.5539i	1.07772	−	1.48335i
$193$	−2.85835	+	3.93419i	−0.205749	+	0.283189i	−0.899404	−	0.437118i	$-0.855999\pi$
$193$	−2.85835	+	3.93419i	−0.205749	+	0.283189i	0.693655	+	0.720307i	$0.255999\pi$
$194$	−9.46254	+	29.1227i	−0.679371	+	2.09089i
$195$	−4.09330	−	1.05995i	−0.293127	−	0.0759049i
$196$	−5.60527	+	4.07246i	−0.400376	+	0.290890i
$197$		−	11.8747i		−	0.846038i	−0.906121	−	0.423019i	$-0.860970\pi$
$197$		−	11.8747i		−	0.846038i	0.906121	−	0.423019i	$-0.139030\pi$
$198$		0			0
$199$	4.99158			0.353844			0.176922	−	0.984225i	$-0.443386\pi$
$199$	4.99158			0.353844			0.176922	+	0.984225i	$0.443386\pi$
$200$	0.450361	−	0.811286i	0.0318454	−	0.0573666i
$201$	2.14362	+	6.59739i	0.151199	+	0.465344i
$202$	10.7313	+	3.48681i	0.755052	+	0.245331i
$203$	−7.85959	+	10.8178i	−0.551635	+	0.759261i
$204$	−5.86215	−	4.25910i	−0.410433	−	0.298197i
$205$	−4.69926	−	5.70426i	−0.328210	−	0.398403i
$206$	−1.98911	−	6.12186i	−0.138588	−	0.426530i
$207$	−14.0839	−	19.3848i	−0.978896	−	1.34734i
$208$		−	2.47051i		−	0.171299i
$209$		0			0
$210$	−35.6995	−	22.7587i	−2.46350	−	1.57050i
$211$	−1.27270	+	0.924671i	−0.0876163	+	0.0636570i	−0.630731	−	0.776002i	$-0.717245\pi$
$211$	−1.27270	+	0.924671i	−0.0876163	+	0.0636570i	0.543115	+	0.839659i	$0.317245\pi$
$212$	12.7685	−	4.14873i	0.876942	−	0.284936i
$213$	43.5672	+	14.1559i	2.98518	+	0.969943i
$214$	−6.49532	−	4.71912i	−0.444011	−	0.322593i
$215$	−8.95141	−	22.7452i	−0.610481	−	1.55121i
$216$	−0.417183	+	1.28396i	−0.0283857	+	0.0873623i
$217$	−24.1269	+	7.83932i	−1.63784	+	0.532168i
$218$	18.3280	+	25.2264i	1.24133	+	1.70854i
$219$	16.6557			1.12549
$220$		0			0
$221$	−0.771025			−0.0518647
$222$	−7.13385	−	9.81891i	−0.478793	−	0.659002i
$223$	−3.15251	+	1.02431i	−0.211108	+	0.0685931i	−0.412662	−	0.910884i	$-0.635401\pi$
$223$	−3.15251	+	1.02431i	−0.211108	+	0.0685931i	0.201554	+	0.979477i	$0.435401\pi$
$224$	8.01234	−	24.6595i	0.535347	−	1.64763i
$225$	5.25997	−	26.9708i	0.350665	−	1.79806i
$226$	16.5863	+	12.0507i	1.10331	+	0.801599i
$227$	−2.70111	−	0.877644i	−0.179279	−	0.0582513i	0.218002	−	0.975948i	$-0.430046\pi$
$227$	−2.70111	−	0.877644i	−0.179279	−	0.0582513i	−0.397281	+	0.917697i	$0.630046\pi$
$228$	10.9647	−	3.56266i	0.726158	−	0.235943i
$229$	−1.61122	+	1.17062i	−0.106473	+	0.0773570i	−0.639748	−	0.768585i	$-0.720961\pi$
$229$	−1.61122	+	1.17062i	−0.106473	+	0.0773570i	0.533275	+	0.845942i	$0.320961\pi$
$230$	10.6008	−	16.6286i	0.698999	−	1.09646i
$231$		0			0
$232$			0.772748i			0.0507334i
$233$	11.9047	+	16.3854i	0.779904	+	1.07345i	0.995292	+	0.0969179i	$0.0308984\pi$
$233$	11.9047	+	16.3854i	0.779904	+	1.07345i	−0.215388	+	0.976529i	$0.569102\pi$
$234$	2.22867	+	6.85915i	0.145693	+	0.448397i
$235$	5.03042	−	4.14414i	0.328148	−	0.270334i
$236$	6.28902	+	4.56924i	0.409380	+	0.297432i
$237$	−26.1374	+	35.9751i	−1.69781	+	2.33683i
$238$	−7.34222	−	2.38563i	−0.475925	−	0.154637i
$239$	0.584338	+	1.79841i	0.0377977	+	0.116329i	0.968175	−	0.250274i	$-0.0805207\pi$
$239$	0.584338	+	1.79841i	0.0377977	+	0.116329i	−0.930377	+	0.366603i	$0.880521\pi$
$240$	24.7738	−	1.50751i	1.59914	−	0.0973096i
$241$	−4.00503			−0.257986			−0.128993	−	0.991645i	$-0.541175\pi$
$241$	−4.00503			−0.257986			−0.128993	+	0.991645i	$0.541175\pi$
$242$		0			0
$243$		−	8.07686i		−	0.518131i
$244$	13.1775	−	9.57401i	0.843603	−	0.612914i
$245$	−7.17004	−	1.85667i	−0.458077	−	0.118618i
$246$	−6.02193	+	18.5336i	−0.383944	+	1.18166i
$247$	0.721074	−	0.992474i	0.0458809	−	0.0631496i
$248$	−0.861730	+	1.18607i	−0.0547199	+	0.0753155i
$249$	9.58059	−	29.4860i	0.607145	−	1.86860i
$250$	22.2408	−	4.10068i	1.40663	−	0.259350i
$251$	−18.3711	+	13.3474i	−1.15957	+	0.842480i	−0.989724	−	0.142990i	$-0.954328\pi$
$251$	−18.3711	+	13.3474i	−1.15957	+	0.842480i	−0.169850	+	0.985470i	$0.554328\pi$
$252$			36.9162i			2.32550i
$253$		0			0
$254$	−33.2610			−2.08698
$255$	−0.470481	−	7.73167i	−0.0294627	−	0.484176i
$256$	4.45995	+	13.7263i	0.278747	+	0.857895i
$257$	3.86411	+	1.25552i	0.241036	+	0.0783174i	0.427044	−	0.904231i	$-0.359555\pi$
$257$	3.86411	+	1.25552i	0.241036	+	0.0783174i	−0.186008	+	0.982548i	$0.559555\pi$
$258$	−37.8833	+	52.1419i	−2.35851	+	3.24622i
$259$	−5.34792	−	3.88549i	−0.332303	−	0.241433i
$260$	−2.34202	+	1.92939i	−0.145246	+	0.119656i
$261$	7.07158	+	21.7641i	0.437720	+	1.34716i
$262$	−16.6465	−	22.9120i	−1.02843	−	1.41551i
$263$			12.3054i			0.758783i	0.925236	+	0.379391i	$0.123867\pi$
$263$			12.3054i			0.758783i	−0.925236	+	0.379391i	$0.876133\pi$
$264$		0			0
$265$	12.1019	+	7.71502i	0.743411	+	0.473930i
$266$	9.93737	−	7.21992i	0.609299	−	0.442682i
$267$	24.9489	−	8.10638i	1.52685	−	0.496102i
$268$	4.73455	+	1.53835i	0.289209	+	0.0939696i
$269$	−6.23585	−	4.53061i	−0.380206	−	0.276236i	0.381224	−	0.924483i	$-0.375503\pi$
$269$	−6.23585	−	4.53061i	−0.380206	−	0.276236i	−0.761431	+	0.648247i	$0.775503\pi$
$270$	−30.6183	+	12.0499i	−1.86337	+	0.733332i
$271$	−4.81259	+	14.8116i	−0.292344	+	0.899743i	0.691756	+	0.722131i	$0.256837\pi$
$271$	−4.81259	+	14.8116i	−0.292344	+	0.899743i	−0.984101	+	0.177612i	$0.943163\pi$
$272$	4.30430	−	1.39855i	0.260987	−	0.0847997i
$273$	3.56926	+	4.91266i	0.216021	+	0.297328i
$274$	27.8571			1.68291
$275$		0			0
$276$	−26.5817			−1.60003
$277$	−11.9338	−	16.4255i	−0.717034	−	0.986913i	−0.999617	−	0.0276702i	$-0.991191\pi$
$277$	−11.9338	−	16.4255i	−0.717034	−	0.986913i	0.282583	−	0.959243i	$-0.408809\pi$
$278$	12.9947	−	4.22225i	0.779373	−	0.253234i
$279$	−13.4162	+	41.2909i	−0.803209	+	2.47202i
$280$	−1.24002	+	0.488012i	−0.0741052	+	0.0291643i
$281$	19.5940	+	14.2359i	1.16888	+	0.849242i	0.990875	−	0.134787i	$-0.0430350\pi$
$281$	19.5940	+	14.2359i	1.16888	+	0.849242i	0.178007	+	0.984029i	$0.443035\pi$
$282$	−16.3442	−	5.31056i	−0.973285	−	0.316239i
$283$	−13.7306	+	4.46135i	−0.816201	+	0.265200i	−0.687222	−	0.726448i	$-0.741170\pi$
$283$	−13.7306	+	4.46135i	−0.816201	+	0.265200i	−0.128979	+	0.991647i	$0.541170\pi$
$284$	26.5961	−	19.3232i	1.57819	−	1.14662i
$285$	10.3923	+	6.62516i	0.615587	+	0.392441i
$286$		0			0
$287$			10.6139i			0.626519i
$288$	−26.0824	−	35.8994i	−1.53692	−	2.11539i
$289$	4.81681	+	14.8246i	0.283342	+	0.872037i
$290$	−14.5365	+	11.9754i	−0.853613	+	0.703219i
$291$	35.6969	+	25.9353i	2.09259	+	1.52036i
$292$	7.02569	−	9.67003i	0.411147	−	0.565896i
$293$	14.4204	+	4.68548i	0.842450	+	0.273729i	0.698280	−	0.715824i	$-0.253949\pi$
$293$	14.4204	+	4.68548i	0.842450	+	0.273729i	0.144170	+	0.989553i	$0.453949\pi$
$294$	6.03488	+	18.5734i	0.351961	+	1.08323i
$295$	0.504741	+	8.29467i	0.0293871	+	0.482934i
$296$	−0.382018			−0.0222043
$297$		0			0
$298$			38.8316i			2.24945i
$299$	−2.28829	+	1.66254i	−0.132335	+	0.0961470i
$300$	−20.7766	−	22.3079i	−1.19954	−	1.28795i
$301$	−10.8476	+	33.3855i	−0.625245	+	1.92431i
$302$	−3.91246	+	5.38504i	−0.225137	+	0.309874i
$303$	9.55680	−	13.1538i	0.549024	−	0.755666i
$304$	−2.22521	+	6.84850i	−0.127625	+	0.392789i
$305$	16.8562	+	4.36488i	0.965181	+	0.249932i
$306$	−10.6888	+	7.76590i	−0.611041	+	0.443947i
$307$		−	8.04171i		−	0.458965i	−0.973313	−	0.229482i	$-0.926297\pi$
$307$		−	8.04171i		−	0.458965i	0.973313	−	0.229482i	$-0.0737033\pi$
$308$		0			0
$309$	−9.27523			−0.527650
$310$	−35.6660	+	2.17032i	−2.02569	+	0.123266i
$311$	6.88082	+	21.1770i	0.390176	+	1.20084i	0.932655	+	0.360769i	$0.117486\pi$
$311$	6.88082	+	21.1770i	0.390176	+	1.20084i	−0.542480	+	0.840069i	$0.682514\pi$
$312$	0.333751	+	0.108442i	0.0188949	+	0.00613933i
$313$	1.38155	−	1.90155i	0.0780900	−	0.107482i	−0.768185	−	0.640228i	$-0.778840\pi$
$313$	1.38155	−	1.90155i	0.0780900	−	0.107482i	0.846275	+	0.532746i	$0.178840\pi$
$314$	22.9344	+	16.6628i	1.29426	+	0.940336i
$315$	−30.4586	+	25.0923i	−1.71615	+	1.41379i
$316$	9.86129	+	30.3499i	0.554741	+	1.70732i
$317$	10.5939	+	14.5812i	0.595010	+	0.818962i	0.995240	−	0.0974533i	$-0.0310697\pi$
$317$	10.5939	+	14.5812i	0.595010	+	0.818962i	−0.400230	+	0.916415i	$0.631070\pi$
$318$		−	37.8425i		−	2.12210i
$319$		0			0
$320$	10.4773	−	16.4347i	0.585696	−	0.918730i
$321$	−9.35940	+	6.80000i	−0.522391	+	0.379539i
$322$	−26.9347	+	8.75160i	−1.50101	+	0.487708i
$323$	2.13735	+	0.694469i	0.118926	+	0.0386413i
$324$	7.98127	+	5.79874i	0.443404	+	0.322152i
$325$	−3.18379	−	0.620916i	−0.176605	−	0.0344422i
$326$	6.45206	−	19.8574i	0.357347	−	1.09980i
$327$	42.7318	−	13.8844i	2.36307	−	0.767809i
$328$	0.360537	+	0.496237i	0.0199073	+	0.0274001i
$329$	−9.36008			−0.516038
$330$		0			0
$331$	−3.09174			−0.169938			−0.0849688	−	0.996384i	$-0.527079\pi$
$331$	−3.09174			−0.169938			−0.0849688	+	0.996384i	$0.527079\pi$
$332$	−13.0778	−	18.0001i	−0.717738	−	0.987882i
$333$	−10.7593	+	3.49592i	−0.589609	+	0.191575i
$334$	9.12981	−	28.0987i	0.499561	−	1.53749i
$335$	1.94887	+	4.95199i	0.106478	+	0.270556i
$336$	−28.8367	−	20.9511i	−1.57317	−	1.14297i
$337$	−34.1865	−	11.1079i	−1.86226	−	0.605083i	−0.994056	−	0.108867i	$-0.965278\pi$
$337$	−34.1865	−	11.1079i	−1.86226	−	0.605083i	−0.868199	−	0.496216i	$-0.834722\pi$
$338$	−24.1997	+	7.86297i	−1.31629	+	0.427689i
$339$	23.9000	−	17.3644i	1.29807	−	0.943104i
$340$	−4.68733	−	2.98820i	−0.254206	−	0.162058i
$341$		0			0
$342$		−	21.0216i		−	1.13672i
$343$	−6.96068	−	9.58056i	−0.375842	−	0.517301i
$344$	0.626888	+	1.92936i	0.0337995	+	0.104024i
$345$	−18.0679	−	21.9319i	−0.972741	−	1.18078i
$346$	3.61399	+	2.62572i	0.194289	+	0.141160i
$347$	−7.20795	+	9.92089i	−0.386943	+	0.532581i	−0.957407	−	0.288741i	$-0.906763\pi$
$347$	−7.20795	+	9.92089i	−0.386943	+	0.532581i	0.570464	+	0.821322i	$0.306763\pi$
$348$	24.1446	+	7.84506i	1.29429	+	0.420540i
$349$	5.46137	+	16.8084i	0.292340	+	0.899732i	0.984102	+	0.177605i	$0.0568350\pi$
$349$	5.46137	+	16.8084i	0.292340	+	0.899732i	−0.691761	+	0.722126i	$0.743165\pi$
$350$	−28.3970	−	15.7637i	−1.51788	−	0.842607i
$351$	4.71943			0.251905
$352$		0			0
$353$		−	18.7202i		−	0.996378i	−0.867068	−	0.498189i	$-0.833999\pi$
$353$		−	18.7202i		−	0.996378i	0.867068	−	0.498189i	$-0.166001\pi$
$354$	17.7268	−	12.8793i	0.942169	−	0.684526i
$355$	34.0207	+	8.80962i	1.80563	+	0.467566i
$356$	5.81746	−	17.9043i	0.308325	−	0.948926i
$357$	−6.53864	+	8.99966i	−0.346061	+	0.476313i
$358$	−12.8506	+	17.6873i	−0.679173	+	0.934802i
$359$	11.5161	−	35.4429i	0.607796	−	1.87060i	0.131506	−	0.991315i	$-0.458019\pi$
$359$	11.5161	−	35.4429i	0.607796	−	1.87060i	0.476290	−	0.879288i	$-0.341981\pi$
$360$	−0.571702	+	2.20778i	−0.0301313	+	0.116360i
$361$	12.4785	−	9.06617i	0.656763	−	0.477167i
$362$		−	6.81074i		−	0.357965i
$363$		0			0
$364$	4.35779			0.228410
$365$	12.7539	−	0.776092i	0.667571	−	0.0406225i
$366$	−14.1875	−	43.6646i	−0.741592	−	2.28238i
$367$	−17.1179	−	5.56194i	−0.893547	−	0.290331i	−0.173976	−	0.984750i	$-0.555661\pi$
$367$	−17.1179	−	5.56194i	−0.893547	−	0.290331i	−0.719571	+	0.694419i	$0.755661\pi$
$368$	9.75887	−	13.4319i	0.508716	−	0.700188i
$369$	14.6955	+	10.6769i	0.765018	+	0.555818i
$370$	−5.92019	−	7.18631i	−0.307776	−	0.373598i
$371$	−6.36919	−	19.6023i	−0.330672	−	1.01770i
$372$	28.3105	+	38.9661i	1.46783	+	2.02030i
$373$			0.202607i			0.0104906i	0.999986	+	0.00524531i	$0.00166964\pi$
$373$			0.202607i			0.0104906i	−0.999986	+	0.00524531i	$0.998330\pi$
$374$		0			0
$375$	4.28365	−	32.3052i	0.221207	−	1.66823i
$376$	−0.437617	+	0.317947i	−0.0225684	+	0.0163969i
$377$	2.56915	−	0.834768i	0.132318	−	0.0429927i
$378$	44.9416	+	14.6024i	2.31155	+	0.751067i
$379$	−27.4930	−	19.9748i	−1.41222	−	1.02604i	−0.992995	−	0.118153i	$-0.962303\pi$
$379$	−27.4930	−	19.9748i	−1.41222	−	1.02604i	−0.419223	−	0.907883i	$-0.637697\pi$
$380$	8.23012	−	3.23898i	0.422196	−	0.166156i
$381$	−14.8104	+	45.5816i	−0.758758	+	2.33522i
$382$	−17.8437	+	5.79778i	−0.912964	+	0.296640i
$383$	4.19798	+	5.77803i	0.214507	+	0.295244i	0.902688	−	0.430295i	$-0.141591\pi$
$383$	4.19798	+	5.77803i	0.214507	+	0.295244i	−0.688181	+	0.725539i	$0.741591\pi$
$384$	−4.32284			−0.220599
$385$		0			0
$386$	9.83675			0.500677
$387$	35.3120	+	48.6028i	1.79501	+	2.47062i
$388$	30.1152	−	9.78503i	1.52887	−	0.496759i
$389$	−4.09967	+	12.6175i	−0.207862	+	0.639732i	0.791722	+	0.610881i	$0.209185\pi$
$389$	−4.09967	+	12.6175i	−0.207862	+	0.639732i	−0.999584	+	0.0288508i	$0.990815\pi$
$390$	3.13223	+	7.95888i	0.158607	+	0.403013i
$391$	−4.19198	−	3.04565i	−0.211998	−	0.154025i
$392$	0.584616	+	0.189953i	0.0295276	+	0.00959408i
$393$	−38.8114	+	12.6106i	−1.95777	+	0.636120i
$394$	−19.4328	+	14.1187i	−0.979009	+	0.711292i
$395$	−18.3382	+	28.7654i	−0.922692	+	1.44735i
$396$		0			0
$397$		−	33.5614i		−	1.68440i	−0.539165	−	0.842200i	$-0.681260\pi$
$397$		−	33.5614i		−	1.68440i	0.539165	−	0.842200i	$-0.318740\pi$
$398$	−5.93487	−	8.16865i	−0.297488	−	0.409457i
$399$	−5.46945	−	16.8332i	−0.273815	−	0.842716i
$400$	18.9000	−	2.30872i	0.944999	−	0.115436i
$401$	−27.1756	−	19.7443i	−1.35709	−	0.985981i	−0.998624	−	0.0524370i	$-0.983301\pi$
$401$	−27.1756	−	19.7443i	−1.35709	−	0.985981i	−0.358462	−	0.933544i	$-0.616699\pi$
$402$	8.24781	−	11.3521i	0.411364	−	0.566193i
$403$	4.87421	+	1.58373i	0.242802	+	0.0788911i
$404$	−3.60564	−	11.0970i	−0.179387	−	0.552098i
$405$	0.640557	+	10.5266i	0.0318295	+	0.523071i
$406$	27.0480			1.34237
$407$		0			0
$408$			0.642872i			0.0318269i
$409$	−6.60883	+	4.80159i	−0.326785	+	0.237423i	−0.739065	−	0.673634i	$-0.764733\pi$
$409$	−6.60883	+	4.80159i	−0.326785	+	0.237423i	0.412280	+	0.911057i	$0.364733\pi$
$410$	−3.74763	+	14.4725i	−0.185082	+	0.714745i
$411$	12.4041	−	38.1760i	0.611851	−	1.88308i
$412$	−3.91246	+	5.38504i	−0.192753	+	0.265302i
$413$	7.01476	−	9.65499i	0.345174	−	0.475091i
$414$	−14.9775	+	46.0961i	−0.736105	+	2.26550i
$415$	5.96229	−	23.0250i	0.292677	−	1.13025i
$416$	−4.23776	+	3.07892i	−0.207773	+	0.150956i
$417$		−	19.6883i		−	0.964142i
$418$		0			0
$419$	−19.5329			−0.954243			−0.477121	−	0.878837i	$-0.658320\pi$
$419$	−19.5329			−0.954243			−0.477121	+	0.878837i	$0.658320\pi$
$420$	2.65913	+	43.6989i	0.129752	+	2.13229i
$421$	−7.38806	−	22.7381i	−0.360072	−	1.10819i	−0.953010	−	0.302939i	$-0.902032\pi$
$421$	−7.38806	−	22.7381i	−0.360072	−	1.10819i	0.592938	−	0.805248i	$-0.297968\pi$
$422$	3.02642	+	0.983344i	0.147324	+	0.0478684i
$423$	−9.41566	+	12.9595i	−0.457805	+	0.630115i
$424$	−0.963642	−	0.700127i	−0.0467986	−	0.0340012i
$425$	−0.720531	−	5.89851i	−0.0349509	−	0.286120i
$426$	−28.6345	−	88.1281i	−1.38735	−	4.26982i
$427$	−14.6982	−	20.2303i	−0.711294	−	0.979013i
$428$			8.30227i			0.401306i
$429$		0			0
$430$	−26.5791	+	41.6923i	−1.28176	+	2.01058i
$431$	−6.11927	+	4.44591i	−0.294755	+	0.214152i	−0.725327	−	0.688404i	$-0.758312\pi$
$431$	−6.11927	+	4.44591i	−0.294755	+	0.214152i	0.430573	+	0.902556i	$0.358312\pi$
$432$	−26.3466	+	8.56052i	−1.26760	+	0.411868i
$433$	−24.3655	−	7.91683i	−1.17093	−	0.380459i	−0.341941	−	0.939721i	$-0.611084\pi$
$433$	−24.3655	−	7.91683i	−1.17093	−	0.380459i	−0.828990	+	0.559263i	$0.811084\pi$
$434$	41.5153	+	30.1626i	1.99280	+	1.44785i
$435$	9.93857	+	25.2535i	0.476518	+	1.21081i
$436$	9.96400	−	30.6660i	0.477189	−	1.46864i
$437$	7.84081	−	2.54763i	0.375077	−	0.121870i
$438$	−19.8033	−	27.2568i	−0.946236	−	1.30238i
$439$	−20.4668			−0.976827			−0.488413	−	0.872612i	$-0.662424\pi$
$439$	−20.4668			−0.976827			−0.488413	+	0.872612i	$0.662424\pi$
$440$		0			0
$441$	18.2037			0.866844
$442$	0.916730	+	1.26177i	0.0436044	+	0.0600163i
$443$	9.66734	−	3.14111i	0.459309	−	0.149239i	−0.0702179	−	0.997532i	$-0.522369\pi$
$443$	9.66734	−	3.14111i	0.459309	−	0.149239i	0.529527	+	0.848293i	$0.322369\pi$
$444$	−3.87831	+	11.9362i	−0.184056	+	0.566467i
$445$	18.7266	−	7.36989i	0.887725	−	0.349366i
$446$	5.42453	+	3.94115i	0.256859	+	0.186619i
$447$	53.2156	+	17.2908i	2.51701	+	0.817827i
$448$	−26.6207	+	8.64958i	−1.25771	+	0.408654i
$449$	−11.8922	+	8.64016i	−0.561226	+	0.407754i	−0.831907	−	0.554915i	$-0.812751\pi$
$449$	−11.8922	+	8.64016i	−0.561226	+	0.407754i	0.270682	+	0.962669i	$0.412751\pi$
$450$	−50.3913	+	23.4598i	−2.37547	+	1.10591i
$451$		0			0
$452$		−	21.2006i		−	0.997190i
$453$	5.63765	+	7.75956i	0.264880	+	0.364576i
$454$	1.77530	+	5.46382i	0.0833191	+	0.256430i
$455$	2.96203	+	3.59550i	0.138862	+	0.168560i
$456$	−0.827514	−	0.601224i	−0.0387519	−	0.0281549i
$457$	−1.97661	+	2.72057i	−0.0924618	+	0.127263i	−0.852742	−	0.522333i	$-0.825062\pi$
$457$	−1.97661	+	2.72057i	−0.0924618	+	0.127263i	0.760280	+	0.649596i	$0.225062\pi$
$458$	3.83141	+	1.24490i	0.179030	+	0.0581704i
$459$	2.67166	+	8.22253i	0.124702	+	0.383795i
$460$	−20.3547	+	1.23861i	−0.949041	+	0.0577503i
$461$	1.41424			0.0658677			0.0329338	−	0.999458i	$-0.489515\pi$
$461$	1.41424			0.0658677			0.0329338	+	0.999458i	$0.489515\pi$
$462$		0			0
$463$			15.4595i			0.718465i	0.933248	+	0.359232i	$0.116961\pi$
$463$			15.4595i			0.718465i	−0.933248	+	0.359232i	$0.883039\pi$
$464$	−12.8283	+	9.32030i	−0.595539	+	0.432684i
$465$	−12.9070	+	49.8439i	−0.598548	+	2.31145i
$466$	12.6601	−	38.9638i	0.586468	−	1.80496i
$467$	10.9862	−	15.1211i	0.508378	−	0.699723i	−0.475266	−	0.879842i	$-0.657648\pi$
$467$	10.9862	−	15.1211i	0.508378	−	0.699723i	0.983645	+	0.180119i	$0.0576483\pi$
$468$	4.38366	−	6.03360i	0.202635	−	0.278903i
$469$	2.36170	−	7.26856i	0.109053	−	0.335631i
$470$	−12.7629	−	3.30492i	−0.588707	−	0.152445i
$471$	33.0472	−	24.0102i	1.52273	−	1.10633i
$472$		−	0.689685i		−	0.0317453i
$473$		0			0
$474$	89.9495			4.13152
$475$	8.26649	+	4.58890i	0.379293	+	0.210553i
$476$	2.46693	+	7.59244i	0.113072	+	0.347999i
$477$	−33.5475	−	10.9003i	−1.53604	−	0.499088i
$478$	2.24830	−	3.09452i	0.102835	−	0.141540i
$479$	24.1706	+	17.5610i	1.10438	+	0.802381i	0.981770	−	0.190073i	$-0.0608726\pi$
$479$	24.1706	+	17.5610i	1.10438	+	0.802381i	0.122613	+	0.992455i	$0.460873\pi$
$480$	−33.4606	−	40.6166i	−1.52726	−	1.85389i
$481$	0.412678	+	1.27009i	0.0188165	+	0.0579112i
$482$	4.76188	+	6.55416i	0.216898	+	0.298534i
$483$			40.8087i			1.85686i
$484$		0			0
$485$	28.5430	+	18.1963i	1.29607	+	0.826253i
$486$	−13.2177	+	9.60318i	−0.599565	+	0.435609i
$487$	−0.889065	+	0.288875i	−0.0402874	+	0.0130902i	−0.329091	−	0.944298i	$-0.606742\pi$
$487$	−0.889065	+	0.288875i	−0.0402874	+	0.0130902i	0.288804	+	0.957388i	$0.406742\pi$
$488$	−1.37438	−	0.446564i	−0.0622153	−	0.0202150i
$489$	−24.3400	−	17.6841i	−1.10070	−	0.799702i
$490$	5.48659	+	13.9412i	0.247859	+	0.629799i
$491$	10.1649	−	31.2844i	0.458737	−	1.41185i	−0.407955	−	0.913002i	$-0.633758\pi$
$491$	10.1649	−	31.2844i	0.458737	−	1.41185i	0.866692	−	0.498844i	$-0.166242\pi$
$492$	19.1652	−	6.22716i	0.864035	−	0.280742i
$493$	2.90878	+	4.00359i	0.131005	+	0.180313i
$494$	−2.48151			−0.111648
$495$		0			0
$496$	−30.0833			−1.35078
$497$	−29.6653	−	40.8307i	−1.33067	−	1.83151i
$498$	−59.6445	+	19.3797i	−2.67273	+	0.868424i
$499$	−2.77855	+	8.55150i	−0.124385	+	0.382818i	−0.993789	−	0.111285i	$-0.964503\pi$
$499$	−2.77855	+	8.55150i	−0.124385	+	0.382818i	0.869403	+	0.494103i	$0.164503\pi$
$500$	−16.9489	−	16.1139i	−0.757978	−	0.720637i
$501$	−34.4417	−	25.0234i	−1.53874	−	1.11796i
$502$	43.6856	+	14.1943i	1.94978	+	0.633523i
$503$	1.16120	−	0.377298i	0.0517755	−	0.0168229i	−0.283015	−	0.959116i	$-0.591335\pi$
$503$	1.16120	−	0.377298i	0.0517755	−	0.0168229i	0.334790	+	0.942293i	$0.391335\pi$
$504$	2.64972	−	1.92513i	0.118028	−	0.0857523i
$505$	6.70509	−	10.5177i	0.298373	−	0.468031i
$506$		0			0
$507$			36.6650i			1.62835i
$508$	20.2166	+	27.8258i	0.896968	+	1.23457i
$509$	−7.47676	−	23.0111i	−0.331402	−	1.01995i	−0.968468	−	0.249140i	$-0.919852\pi$
$509$	−7.47676	−	23.0111i	−0.331402	−	1.01995i	0.637066	−	0.770809i	$-0.280148\pi$
$510$	−12.0934	+	9.96270i	−0.535503	+	0.441156i
$511$	−14.8456	−	10.7859i	−0.656730	−	0.477142i
$512$	18.9036	−	26.0186i	0.835429	−	1.14987i
$513$	−13.0827	−	4.25083i	−0.577616	−	0.187679i
$514$	−2.53968	−	7.81634i	−0.112021	−	0.344764i
$515$	−7.10240	+	0.432190i	−0.312969	+	0.0190446i
$516$	66.6475			2.93399
$517$		0			0
$518$			13.3715i			0.587512i
$519$	5.20757	−	3.78352i	0.228587	−	0.166078i
$520$	0.260619	+	0.0674869i	0.0114289	+	0.00295949i
$521$	−1.49984	+	4.61603i	−0.0657091	+	0.202232i	−0.978520	−	0.206150i	$-0.933907\pi$
$521$	−1.49984	+	4.61603i	−0.0657091	+	0.202232i	0.912811	+	0.408381i	$0.133907\pi$
$522$	27.2086	−	37.4495i	1.19089	−	1.63912i
$523$	−4.31049	+	5.93287i	−0.188484	+	0.259426i	−0.892793	−	0.450468i	$-0.851257\pi$
$523$	−4.31049	+	5.93287i	−0.188484	+	0.259426i	0.704308	+	0.709894i	$0.251257\pi$
$524$	−9.04986	+	27.8526i	−0.395345	+	1.21675i
$525$	−34.2475	+	31.8966i	−1.49468	+	1.39208i
$526$	20.1376	−	14.6308i	0.878040	−	0.637934i
$527$			9.38873i			0.408980i
$528$		0			0
$529$	3.99158			0.173547
$530$	−1.76331	−	28.9775i	−0.0765935	−	1.25870i
$531$	−6.31145	−	19.4246i	−0.273894	−	0.842958i
$532$	−12.0802	−	3.92510i	−0.523743	−	0.170175i
$533$	1.26036	−	1.73474i	0.0545924	−	0.0751400i
$534$	−42.9295	−	31.1901i	−1.85774	−	1.34973i
$535$	−6.85000	+	5.64313i	−0.296151	+	0.243974i
$536$	−0.136484	−	0.420053i	−0.00589519	−	0.0181435i
$537$	18.5170	+	25.4864i	0.799066	+	1.09982i
$538$			15.5917i			0.672204i
$539$		0			0
$540$	28.6911	+	18.2908i	1.23467	+	0.787109i
$541$	22.7174	−	16.5052i	0.976697	−	0.709612i	0.0197293	−	0.999805i	$-0.493720\pi$
$541$	22.7174	−	16.5052i	0.976697	−	0.709612i	0.956968	+	0.290193i	$0.0937196\pi$
$542$	29.9611	−	9.73494i	1.28694	−	0.418152i
$543$	−9.33359	−	3.03267i	−0.400542	−	0.130144i
$544$	−7.76329	−	5.64036i	−0.332848	−	0.241828i
$545$	32.0744	−	12.6230i	1.37392	−	0.540708i
$546$	3.79574	−	11.6821i	0.162443	−	0.499947i
$547$	−22.2193	+	7.21950i	−0.950030	+	0.308684i	−0.742728	−	0.669593i	$-0.766468\pi$
$547$	−22.2193	+	7.21950i	−0.950030	+	0.308684i	−0.207302	+	0.978277i	$0.566468\pi$
$548$	−16.9321	−	23.3050i	−0.723301	−	0.995539i
$549$	−42.7954			−1.82646
$550$		0			0
$551$	−7.87382			−0.335436
$552$	1.38621	+	1.90795i	0.0590008	+	0.0812077i
$553$	46.5936	−	15.1392i	1.98136	−	0.643784i
$554$	−12.6911	+	39.0591i	−0.539191	+	1.65946i
$555$	−12.4844	+	4.91326i	−0.529933	+	0.208556i
$556$	−11.4307	−	8.30490i	−0.484770	−	0.352206i
$557$	0.0323855	+	0.0105227i	0.00137222	+	0.000445860i	0.309703	−	0.950833i	$-0.399770\pi$
$557$	0.0323855	+	0.0105227i	0.00137222	+	0.000445860i	−0.308331	+	0.951279i	$0.599770\pi$
$558$	83.5236	−	27.1385i	3.53583	−	1.14886i
$559$	5.73734	−	4.16842i	0.242664	−	0.176305i
$560$	−23.0576	−	14.6994i	−0.974361	−	0.621161i
$561$		0			0
$562$		−	48.9915i		−	2.06658i
$563$	13.9055	+	19.1392i	0.586046	+	0.806623i	0.994342	−	0.106227i	$-0.0338769\pi$
$563$	13.9055	+	19.1392i	0.586046	+	0.806623i	−0.408296	+	0.912850i	$0.633877\pi$
$564$	5.49155	+	16.9012i	0.231236	+	0.711671i
$565$	17.4921	−	14.4102i	0.735896	−	0.606243i
$566$	23.6263	+	17.1655i	0.993088	+	0.721521i
$567$	8.90231	−	12.2530i	0.373862	−	0.514576i
$568$	−2.77391	−	0.901298i	−0.116391	−	0.0378176i
$569$	9.49771	+	29.2310i	0.398165	+	1.22543i	0.926469	+	0.376370i	$0.122828\pi$
$569$	9.49771	+	29.2310i	0.398165	+	1.22543i	−0.528304	+	0.849055i	$0.677172\pi$
$570$	−1.51422	−	24.8840i	−0.0634238	−	1.04228i
$571$	28.4768			1.19172			0.595860	−	0.803089i	$-0.296812\pi$
$571$	28.4768			1.19172			0.595860	+	0.803089i	$0.296812\pi$
$572$		0			0
$573$			27.0350i			1.12940i
$574$	17.3695	−	12.6197i	0.724988	−	0.526735i
$575$	−14.8572	−	15.9522i	−0.619588	−	0.665254i
$576$	−14.8029	+	45.5587i	−0.616788	+	1.89828i
$577$	−22.6963	+	31.2388i	−0.944859	+	1.30049i	0.00891463	+	0.999960i	$0.497162\pi$
$577$	−22.6963	+	31.2388i	−0.944859	+	1.30049i	−0.953773	+	0.300526i	$0.902838\pi$
$578$	18.5332	−	25.5088i	0.770879	−	1.06102i
$579$	4.38007	−	13.4805i	0.182030	−	0.560230i
$580$	18.8540	+	4.88222i	0.782871	+	0.202723i
$581$	−27.6340	+	20.0773i	−1.14645	+	0.832945i
$582$		−	89.2539i		−	3.69969i
$583$		0			0
$584$	−1.06046			−0.0438823
$585$	7.95779	−	0.484241i	0.329014	−	0.0200209i
$586$	−9.47782	−	29.1697i	−0.391525	−	1.20499i
$587$	13.5828	+	4.41333i	0.560623	+	0.182157i	0.575602	−	0.817730i	$-0.304768\pi$
$587$	13.5828	+	4.41333i	0.560623	+	0.182157i	−0.0149784	+	0.999888i	$0.504768\pi$
$588$	11.8702	−	16.3380i	0.489520	−	0.673767i
$589$	−12.0853	−	8.78049i	−0.497966	−	0.361794i
$590$	12.9740	−	10.6882i	0.534130	−	0.440024i
$591$	10.6957	+	32.9178i	0.439960	+	1.35406i
$592$	−4.60761	−	6.34183i	−0.189372	−	0.260648i
$593$		−	36.4700i		−	1.49764i	−0.662771	−	0.748822i	$-0.730620\pi$
$593$		−	36.4700i		−	1.49764i	0.662771	−	0.748822i	$-0.269380\pi$
$594$		0			0
$595$	−4.58754	+	7.19606i	−0.188071	+	0.295010i
$596$	32.4861	−	23.6025i	1.33068	−	0.966796i
$597$	−13.8371	+	4.49596i	−0.566317	+	0.184007i
$598$	5.44143	+	1.76803i	0.222517	+	0.0723001i
$599$	24.5463	+	17.8340i	1.00294	+	0.728676i	0.962716	−	0.270515i	$-0.0871939\pi$
$599$	24.5463	+	17.8340i	1.00294	+	0.728676i	0.0402207	+	0.999191i	$0.487194\pi$
$600$	−0.517713	+	2.65461i	−0.0211355	+	0.108374i
$601$	−11.6878	+	35.9712i	−0.476753	+	1.46730i	0.366825	+	0.930290i	$0.380445\pi$
$601$	−11.6878	+	35.9712i	−0.476753	+	1.46730i	−0.843579	+	0.537006i	$0.819555\pi$
$602$	67.5323	−	21.9426i	2.75241	−	0.894313i
$603$	−7.68799	−	10.5816i	−0.313079	−	0.430917i
$604$	6.88313			0.280071
$605$		0			0
$606$	−32.8888			−1.33602
$607$	18.2700	+	25.1466i	0.741558	+	1.02067i	0.998528	+	0.0542477i	$0.0172761\pi$
$607$	18.2700	+	25.1466i	0.741558	+	1.02067i	−0.256969	+	0.966420i	$0.582724\pi$
$608$	14.5207	−	4.71806i	0.588892	−	0.191343i
$609$	12.0439	−	37.0672i	0.488042	−	1.50204i
$610$	−12.8985	−	32.7746i	−0.522245	−	1.32700i
$611$	1.52982	+	1.11148i	0.0618897	+	0.0449655i
$612$	12.9937	+	4.22192i	0.525240	+	0.170661i
$613$	34.4924	−	11.2072i	1.39313	−	0.452657i	0.486170	−	0.873865i	$-0.338394\pi$
$613$	34.4924	−	11.2072i	1.39313	−	0.452657i	0.906964	+	0.421208i	$0.138394\pi$
$614$	−13.1601	+	9.56139i	−0.531100	+	0.385866i
$615$	18.1647	+	11.5801i	0.732470	+	0.466954i
$616$		0			0
$617$		−	1.28079i		−	0.0515626i	−0.999668	−	0.0257813i	$-0.991793\pi$
$617$		−	1.28079i		−	0.0515626i	0.999668	−	0.0257813i	$-0.00820735\pi$
$618$	11.0280	+	15.1788i	0.443612	+	0.610580i
$619$	−2.54655	−	7.83746i	−0.102354	−	0.315014i	0.886746	−	0.462257i	$-0.152960\pi$
$619$	−2.54655	−	7.83746i	−0.102354	−	0.315014i	−0.989100	+	0.147243i	$0.952960\pi$
$620$	23.4941	+	28.5186i	0.943546	+	1.14534i
$621$	25.6591	+	18.6424i	1.02966	+	0.748094i
$622$	26.4747	−	36.4393i	1.06154	−	1.46108i
$623$	−27.4870	−	8.93105i	−1.10124	−	0.357815i
$624$	2.22521	+	6.84850i	0.0890798	+	0.274160i
$625$	1.77486	−	24.9369i	0.0709944	−	0.997477i
$626$	−4.75448			−0.190027
$627$		0			0
$628$		−	29.3146i		−	1.16978i
$629$	−1.97923	+	1.43799i	−0.0789170	+	0.0573365i
$630$	77.2777	+	20.0109i	3.07882	+	0.797255i
$631$	−3.83411	+	11.8002i	−0.152634	+	0.469758i	−0.997913	−	0.0645659i	$-0.979434\pi$
$631$	−3.83411	+	11.8002i	−0.152634	+	0.469758i	0.845280	+	0.534324i	$0.179434\pi$
$632$	1.66416	−	2.29052i	0.0661968	−	0.0911121i
$633$	2.69519	−	3.70961i	0.107124	−	0.147444i
$634$	11.2661	−	34.6734i	0.447432	−	1.37706i
$635$	−9.21694	+	35.5937i	−0.365763	+	1.41249i
$636$	−31.6586	+	23.0013i	−1.25535	+	0.912062i
$637$		−	2.14887i		−	0.0851412i
$638$		0			0
$639$	−86.3738			−3.41689
$640$	−3.31016	+	0.201427i	−0.130846	+	0.00796212i
$641$	−1.67775	−	5.16357i	−0.0662670	−	0.203949i	0.912440	−	0.409210i	$-0.134196\pi$
$641$	−1.67775	−	5.16357i	−0.0662670	−	0.203949i	−0.978707	+	0.205261i	$0.934196\pi$
$642$	22.2562	+	7.23148i	0.878382	+	0.285404i
$643$	1.22729	−	1.68921i	0.0483994	−	0.0666161i	−0.784131	−	0.620595i	$-0.786891\pi$
$643$	1.22729	−	1.68921i	0.0483994	−	0.0666161i	0.832531	+	0.553979i	$0.186891\pi$
$644$	23.6928	+	17.2139i	0.933629	+	0.678321i
$645$	45.3010	+	54.9892i	1.78372	+	2.16520i
$646$	−1.40478	−	4.32345i	−0.0552702	−	0.170104i
$647$	14.5554	+	20.0338i	0.572232	+	0.787610i	0.992817	−	0.119643i	$-0.0381751\pi$
$647$	14.5554	+	20.0338i	0.572232	+	0.787610i	−0.420585	+	0.907253i	$0.638175\pi$
$648$		−	0.875266i		−	0.0343837i
$649$		0			0
$650$	2.76932	+	5.94847i	0.108622	+	0.233318i
$651$	59.8213	−	43.4627i	2.34458	−	1.70344i
$652$	−20.5342	+	6.67195i	−0.804180	+	0.261294i
$653$	−6.56149	−	2.13196i	−0.256771	−	0.0834299i	0.177803	−	0.984066i	$-0.443101\pi$
$653$	−6.56149	−	2.13196i	−0.256771	−	0.0834299i	−0.434574	+	0.900636i	$0.643101\pi$
$654$	−73.5286	−	53.4217i	−2.87520	−	2.08895i
$655$	−29.1318	+	11.4649i	−1.13827	+	0.447969i
$656$	−3.88944	+	11.9705i	−0.151857	+	0.467368i
$657$	−29.8675	+	9.70452i	−1.16524	+	0.378610i
$658$	11.1289	+	15.3176i	0.433850	+	0.597143i
$659$	−12.4567			−0.485246			−0.242623	−	0.970121i	$-0.578008\pi$
$659$	−12.4567			−0.485246			−0.242623	+	0.970121i	$0.578008\pi$
$660$		0			0
$661$	17.8173			0.693012			0.346506	−	0.938048i	$-0.387368\pi$
$661$	17.8173			0.693012			0.346506	+	0.938048i	$0.387368\pi$
$662$	3.67601	+	5.05959i	0.142872	+	0.196647i
$663$	2.13735	−	0.694469i	0.0830080	−	0.0269709i
$664$	−0.609992	+	1.87736i	−0.0236723	+	0.0728558i
$665$	−4.97253	−	12.6350i	−0.192827	−	0.489964i
$666$	18.5136	+	13.4509i	0.717388	+	0.521213i
$667$	17.2656	+	5.60995i	0.668529	+	0.217218i
$668$	−29.0563	+	9.44096i	−1.12422	+	0.365282i
$669$	7.81646	−	5.67899i	0.302202	−	0.219562i
$670$	5.78670	−	9.07709i	0.223560	−	0.350679i
$671$		0			0
$672$			75.5752i			2.91538i
$673$	−17.0911	−	23.5238i	−0.658813	−	0.906778i	0.340629	−	0.940198i	$-0.389360\pi$
$673$	−17.0911	−	23.5238i	−0.658813	−	0.906778i	−0.999441	+	0.0334202i	$0.989360\pi$
$674$	22.4690	+	69.1526i	0.865475	+	2.66366i
$675$	4.41036	+	36.1047i	0.169755	+	1.38967i
$676$	21.2871	+	15.4660i	0.818735	+	0.594846i
$677$	−24.0217	+	33.0631i	−0.923230	+	1.27072i	0.0392120	+	0.999231i	$0.487515\pi$
$677$	−24.0217	+	33.0631i	−0.923230	+	1.27072i	−0.962442	+	0.271487i	$0.912485\pi$
$678$	−56.8331	−	18.4662i	−2.18266	−	0.709190i
$679$	−15.0221	−	46.2333i	−0.576496	−	1.77427i
$680$	0.0299554	+	0.492272i	0.00114874	+	0.0188778i
$681$	8.27824			0.317223
$682$		0			0
$683$			17.2211i			0.658948i	0.944165	+	0.329474i	$0.106871\pi$
$683$			17.2211i			0.658948i	−0.944165	+	0.329474i	$0.893129\pi$
$684$	−17.5864	+	12.7773i	−0.672435	+	0.488552i
$685$	7.71947	−	29.8108i	0.294946	−	1.13901i
$686$	−7.40235	+	22.7821i	−0.282623	+	0.869824i
$687$	3.41208	−	4.69632i	0.130179	−	0.179176i
$688$	−24.4681	+	33.6774i	−0.932836	+	1.28394i
$689$	−1.28673	+	3.96013i	−0.0490203	+	0.150869i
$690$	−14.4090	+	55.6443i	−0.548542	+	2.11834i
$691$	−16.2941	+	11.8384i	−0.619857	+	0.450353i	−0.852872	−	0.522121i	$-0.825141\pi$
$691$	−16.2941	+	11.8384i	−0.619857	+	0.450353i	0.233014	+	0.972473i	$0.425141\pi$
$692$		−	4.61938i		−	0.175603i
$693$		0			0
$694$	24.8055			0.941603
$695$	−0.917400	−	15.0761i	−0.0347990	−	0.571870i
$696$	−0.696021	−	2.14213i	−0.0263826	−	0.0811973i
$697$	3.73587	+	1.21386i	0.141506	+	0.0459782i
$698$	21.0132	−	28.9222i	0.795361	−	1.09472i
$699$	−47.7596	−	34.6993i	−1.80643	−	1.31245i
$700$	4.07240	+	33.3380i	0.153922	+	1.26006i
$701$	−6.54085	−	20.1307i	−0.247044	−	0.760324i	−0.995293	−	0.0969066i	$-0.969105\pi$
$701$	−6.54085	−	20.1307i	−0.247044	−	0.760324i	0.748249	−	0.663418i	$-0.230895\pi$
$702$	−5.61129	−	7.72328i	−0.211785	−	0.291496i
$703$		−	3.89252i		−	0.146809i
$704$		0			0
$705$	−10.2121	+	16.0189i	−0.384611	+	0.603306i
$706$	−30.6354	+	22.2579i	−1.15298	+	0.837688i
$707$	−17.0363	+	5.53544i	−0.640717	+	0.208182i
$708$	−21.5493	−	7.00180i	−0.809873	−	0.263144i
$709$	16.6352	+	12.0862i	0.624749	+	0.453907i	0.854577	−	0.519324i	$-0.173816\pi$
$709$	16.6352	+	12.0862i	0.624749	+	0.453907i	−0.229828	+	0.973231i	$0.573816\pi$
$710$	−26.0330	−	66.1488i	−0.977001	−	2.48252i
$711$	25.9093	−	79.7405i	0.971674	−	2.99050i
$712$	−1.58848	+	0.516130i	−0.0595310	+	0.0193428i
$713$	20.2446	+	27.8643i	0.758167	+	1.04353i
$714$	22.5021			0.842119
$715$		0			0
$716$	22.6078			0.844892
$717$	−3.23968	−	4.45904i	−0.120988	−	0.166526i
$718$	−71.6941	+	23.2948i	−2.67560	+	0.869355i
$719$	5.63955	−	17.3568i	0.210320	−	0.647298i	−0.789133	−	0.614222i	$-0.789470\pi$
$719$	5.63955	−	17.3568i	0.210320	−	0.647298i	0.999453	−	0.0330757i	$-0.0105302\pi$
$720$	−43.5466	+	17.1378i	−1.62288	+	0.638690i
$721$	8.26720	+	6.00647i	0.307887	+	0.223693i
$722$	−29.6733	−	9.64143i	−1.10433	−	0.358817i
$723$	11.1023	−	3.60736i	0.412900	−	0.134159i
$724$	−5.69779	+	4.13969i	−0.211757	+	0.153850i
$725$	8.78706	+	18.8745i	0.326343	+	0.700980i
$726$		0			0
$727$		−	0.218345i		−	0.00809798i	−0.999992	−	0.00404899i	$-0.998711\pi$
$727$		−	0.218345i		−	0.00809798i	0.999992	−	0.00404899i	$-0.00128884\pi$
$728$	−0.227253	−	0.312787i	−0.00842257	−	0.0115927i
$729$	11.6472	+	35.8464i	0.431377	+	1.32764i
$730$	−16.4342	−	19.9489i	−0.608256	−	0.738340i
$731$	10.5104	+	7.63626i	0.388742	+	0.282437i
$732$	−27.9059	+	38.4092i	−1.03143	+	1.41964i
$733$	−1.65831	−	0.538818i	−0.0612512	−	0.0199017i	0.278231	−	0.960514i	$-0.410252\pi$
$733$	−1.65831	−	0.538818i	−0.0612512	−	0.0199017i	−0.339482	+	0.940612i	$0.610252\pi$
$734$	11.2507	+	34.6262i	0.415272	+	1.27808i
$735$	21.5484	−	1.31124i	0.794823	−	0.0483660i
$736$	−35.2024			−1.29758
$737$		0			0
$738$		−	36.7436i		−	1.35255i
$739$	−24.5809	+	17.8591i	−0.904225	+	0.656958i	−0.939548	−	0.342418i	$-0.888754\pi$
$739$	−24.5809	+	17.8591i	−0.904225	+	0.656958i	0.0353229	+	0.999376i	$0.488754\pi$
$740$	−2.41359	+	9.32072i	−0.0887253	+	0.342637i
$741$	−1.10496	+	3.40071i	−0.0405916	+	0.124928i
$742$	−24.5061	+	33.7298i	−0.899648	+	1.23826i
$743$	−20.3757	+	28.0448i	−0.747514	+	1.02886i	0.250637	+	0.968081i	$0.419360\pi$
$743$	−20.3757	+	28.0448i	−0.747514	+	1.02886i	−0.998151	+	0.0607833i	$0.980640\pi$
$744$	1.32049	−	4.06407i	0.0484117	−	0.148996i
$745$	41.5549	+	10.7606i	1.52245	+	0.394238i
$746$	0.331564	−	0.240895i	0.0121394	−	0.00881980i
$747$			58.4572i			2.13884i
$748$		0			0
$749$	12.7458			0.465720
$750$	−57.9601	+	31.3999i	−2.11640	+	1.14656i
$751$	2.95386	+	9.09104i	0.107788	+	0.331737i	0.990375	−	0.138413i	$-0.0442000\pi$
$751$	2.95386	+	9.09104i	0.107788	+	0.331737i	−0.882587	+	0.470149i	$0.844200\pi$
$752$	−10.5564	−	3.42998i	−0.384952	−	0.125079i
$753$	38.9044	−	53.5472i	1.41775	−	1.95137i
$754$	−4.42074	−	3.21186i	−0.160994	−	0.116969i
$755$	4.67853	+	5.67910i	0.170269	+	0.206684i
$756$	−15.1001	−	46.4732i	−0.549184	−	1.69022i
$757$	3.68027	+	5.06545i	0.133762	+	0.184107i	0.870644	−	0.491914i	$-0.163703\pi$
$757$	3.68027	+	5.06545i	0.133762	+	0.184107i	−0.736882	+	0.676021i	$0.763703\pi$
$758$			68.7414i			2.49680i
$759$		0			0
$760$	−0.661674	−	0.421822i	−0.0240014	−	0.0153011i
$761$	21.5733	−	15.6739i	0.782030	−	0.568178i	−0.123558	−	0.992337i	$-0.539430\pi$
$761$	21.5733	−	15.6739i	0.782030	−	0.568178i	0.905588	+	0.424159i	$0.139430\pi$
$762$	92.2028	−	29.9585i	3.34015	−	1.08528i
$763$	−47.0790	−	15.2969i	−1.70437	−	0.553784i
$764$	15.6961	+	11.4039i	0.567864	+	0.412577i
$765$	5.34856	+	13.5905i	0.193378	+	0.491365i
$766$	4.46436	−	13.7399i	0.161304	−	0.496442i
$767$	−2.29299	+	0.745038i	−0.0827952	+	0.0269018i
$768$	−24.7268	−	34.0335i	−0.892252	−	1.22808i
$769$	42.2399			1.52321			0.761605	−	0.648042i	$-0.224412\pi$
$769$	42.2399			1.52321			0.761605	+	0.648042i	$0.224412\pi$
$770$		0			0
$771$	−11.8425			−0.426498
$772$	−5.97894	−	8.22931i	−0.215187	−	0.296179i
$773$	−44.0292	+	14.3060i	−1.58362	+	0.514550i	−0.962986	−	0.269551i	$-0.913125\pi$
$773$	−44.0292	+	14.3060i	−1.58362	+	0.514550i	−0.620634	+	0.784100i	$0.713125\pi$
$774$	37.5526	−	115.575i	1.34980	−	4.15426i
$775$	−7.56086	+	38.7688i	−0.271594	+	1.39262i
$776$	−2.27281	−	1.65129i	−0.0815891	−	0.0592779i
$777$	18.3246	+	5.95404i	0.657393	+	0.213600i
$778$	25.5227	−	8.29284i	0.915035	−	0.297313i
$779$	−5.05634	+	3.67365i	−0.181162	+	0.131622i
$780$	4.75448	−	7.45793i	0.170238	−	0.267037i
$781$		0			0
$782$			10.4813i			0.374811i
$783$	−17.8046	−	24.5059i	−0.636285	−	0.875771i
$784$	3.89780	+	11.9962i	0.139207	+	0.428436i
$785$	24.1867	−	19.9254i	0.863261	−	0.711168i
$786$	66.7828	+	48.5205i	2.38206	+	1.73067i
$787$	28.8867	−	39.7592i	1.02970	−	1.41726i	0.124528	−	0.992216i	$-0.460258\pi$
$787$	28.8867	−	39.7592i	1.02970	−	1.41726i	0.905172	−	0.425045i	$-0.139742\pi$
$788$	23.6232	+	7.67563i	0.841540	+	0.273433i
$789$	−11.0836	−	34.1117i	−0.394586	−	1.21441i
$790$	68.8778	−	4.19130i	2.45056	−	0.149120i
$791$	−32.5474			−1.15725
$792$		0			0
$793$			5.05180i			0.179395i
$794$	−54.9228	+	39.9037i	−1.94914	+	1.41613i
$795$	−40.4965	−	10.4865i	−1.43626	−	0.371918i
$796$	−3.22648	+	9.93009i	−0.114360	+	0.351963i
$797$	25.6686	−	35.3298i	0.909228	−	1.25144i	−0.0582020	−	0.998305i	$-0.518537\pi$
$797$	25.6686	−	35.3298i	0.909228	−	1.25144i	0.967430	−	0.253140i	$-0.0814632\pi$
$798$	−21.0443	+	28.9650i	−0.744960	+	1.02535i
$799$	−1.07047	+	3.29456i	−0.0378704	+	0.116553i
$800$	−27.5146	−	29.5426i	−0.972789	−	1.04449i
$801$	−40.0157	+	29.0731i	−1.41389	+	1.02725i
$802$			67.9480i			2.39933i
$803$		0			0
$804$	−14.5102			−0.511737
$805$	1.90153	+	31.2488i	0.0670200	+	1.10138i
$806$	−3.20357	−	9.85958i	−0.112841	−	0.347289i
$807$	21.3671	+	6.94260i	0.752159	+	0.244391i
$808$	−0.608478	+	0.837498i	−0.0214062	+	0.0294631i
$809$	31.9600	+	23.2203i	1.12366	+	0.816383i	0.984759	−	0.173924i	$-0.0556446\pi$
$809$	31.9600	+	23.2203i	1.12366	+	0.816383i	0.138896	+	0.990307i	$0.455645\pi$
$810$	16.4650	−	13.5641i	0.578522	−	0.476595i
$811$	−14.3932	−	44.2977i	−0.505413	−	1.55550i	−0.800075	−	0.599900i	$-0.795207\pi$
$811$	−14.3932	−	44.2977i	−0.505413	−	1.55550i	0.294662	−	0.955601i	$-0.404793\pi$
$812$	−16.4403	−	22.6281i	−0.576940	−	0.794090i
$813$		−	45.3940i		−	1.59204i
$814$		0			0
$815$	−19.4621	−	12.4072i	−0.681728	−	0.434606i
$816$	−10.6722	+	7.75384i	−0.373603	+	0.271439i
$817$	−19.6590	+	6.38759i	−0.687781	+	0.223474i
$818$	15.7155	+	5.10626i	0.549478	+	0.178536i
$819$	−9.26287	−	6.72987i	−0.323671	−	0.235161i
$820$	14.3854	−	5.66140i	0.502360	−	0.197705i
$821$	−9.02551	+	27.7777i	−0.314993	+	0.969447i	0.660765	+	0.750593i	$0.270232\pi$
$821$	−9.02551	+	27.7777i	−0.314993	+	0.969447i	−0.975757	+	0.218855i	$0.929768\pi$
$822$	−77.2227	+	25.0912i	−2.69345	+	0.875155i
$823$	8.15954	+	11.2306i	0.284424	+	0.391475i	0.927193	−	0.374584i	$-0.122215\pi$
$823$	8.15954	+	11.2306i	0.284424	+	0.391475i	−0.642769	+	0.766060i	$0.722215\pi$
$824$	0.590551			0.0205728
$825$		0			0
$826$	−24.1406			−0.839960
$827$	5.61350	+	7.72633i	0.195201	+	0.268671i	0.895386	−	0.445290i	$-0.146899\pi$
$827$	5.61350	+	7.72633i	0.195201	+	0.268671i	−0.700186	+	0.713961i	$0.746899\pi$
$828$	47.6670	−	15.4880i	1.65654	−	0.538244i
$829$	−11.5338	+	35.4973i	−0.400585	+	1.23287i	0.523941	+	0.851755i	$0.324461\pi$
$829$	−11.5338	+	35.4973i	−0.400585	+	1.23287i	−0.924526	+	0.381119i	$0.875539\pi$
$830$	−44.7691	+	17.6190i	−1.55396	+	0.611563i
$831$	47.8763	+	34.7842i	1.66081	+	1.20665i
$832$	5.37800	+	1.74742i	0.186449	+	0.0605808i
$833$	3.74391	−	1.21647i	0.129719	−	0.0421482i
$834$	−32.2197	+	23.4090i	−1.11568	+	0.810586i
$835$	−27.5393	−	17.5565i	−0.953038	−	0.607568i
$836$		0			0
$837$		−	57.4683i		−	1.98640i
$838$	23.2241	+	31.9652i	0.802263	+	1.10422i
$839$	0.442728	+	1.36258i	0.0152847	+	0.0470414i	0.958408	−	0.285402i	$-0.0921270\pi$
$839$	0.442728	+	1.36258i	0.0152847	+	0.0470414i	−0.943123	+	0.332443i	$0.892127\pi$
$840$	2.99789	−	2.46971i	0.103437	−	0.0852131i
$841$	9.43449	+	6.85456i	0.325327	+	0.236364i
$842$	−28.4263	+	39.1255i	−0.979636	+	1.34835i
$843$	−67.1389	−	21.8148i	−2.31239	−	0.751340i
$844$	−1.01686	−	3.12956i	−0.0350016	−	0.107724i
$845$	1.70845	+	28.0758i	0.0587724	+	0.965838i
$846$	32.4031			1.11404
$847$		0			0
$848$		−	24.4417i		−	0.839332i
$849$	34.0442	−	24.7346i	1.16840	−	0.848889i
$850$	−8.79613	+	8.19232i	−0.301705	+	0.280994i
$851$	−2.77335	+	8.53549i	−0.0950692	+	0.292593i
$852$	−56.3224	+	77.5211i	−1.92957	+	2.65583i
$853$	16.5415	−	22.7675i	0.566371	−	0.779543i	−0.425748	−	0.904842i	$-0.639989\pi$
$853$	16.5415	−	22.7675i	0.566371	−	0.779543i	0.992119	+	0.125299i	$0.0399889\pi$
$854$	−15.6308	+	48.1067i	−0.534875	+	1.64618i
$855$	−22.4959	−	5.82529i	−0.769344	−	0.199221i
$856$	0.595909	−	0.432954i	0.0203678	−	0.0147980i
$857$		−	4.04561i		−	0.138195i	−0.997610	−	0.0690977i	$-0.977988\pi$
$857$		−	4.04561i		−	0.138195i	0.997610	−	0.0690977i	$-0.0220120\pi$
$858$		0			0
$859$	55.2064			1.88362			0.941808	−	0.336151i	$-0.109125\pi$
$859$	55.2064			1.88362			0.941808	+	0.336151i	$0.109125\pi$
$860$	51.0346	−	3.10551i	1.74026	−	0.105897i
$861$	−9.56003	−	29.4227i	−0.325805	−	1.00272i
$862$	14.5513	+	4.72801i	0.495620	+	0.161037i
$863$	−17.7468	+	24.4264i	−0.604108	+	0.831483i	−0.996077	−	0.0884952i	$-0.971794\pi$
$863$	−17.7468	+	24.4264i	−0.604108	+	0.831483i	0.391969	+	0.919979i	$0.371794\pi$
$864$	47.5190	+	34.5246i	1.61663	+	1.17455i
$865$	3.81134	−	3.13984i	0.129589	−	0.106758i
$866$	16.0142	+	49.2867i	0.544185	+	1.67483i
$867$	−26.7053	−	36.7567i	−0.906961	−	1.24832i
$868$		−	53.0646i		−	1.80113i
$869$		0			0
$870$	29.5102	−	46.2901i	1.00049	−	1.56938i
$871$	−1.24911	+	0.907533i	−0.0423245	+	0.0307506i
$872$	−2.72072	+	0.884014i	−0.0921351	+	0.0299365i
$873$	−79.1239	−	25.7089i	−2.67794	−	0.870115i
$874$	−13.4917	−	9.80229i	−0.456363	−	0.331567i
$875$	−24.7383	+	26.0202i	−0.836309	+	0.879644i
$876$	−10.7660	+	33.1344i	−0.363750	+	1.11951i
$877$	−29.4255	+	9.56091i	−0.993627	+	0.322849i	−0.760316	−	0.649553i	$-0.774956\pi$
$877$	−29.4255	+	9.56091i	−0.993627	+	0.322849i	−0.233311	+	0.972402i	$0.574956\pi$
$878$	24.3345	+	33.4936i	0.821250	+	1.13035i
$879$	−44.1951			−1.49066
$880$		0			0
$881$	−8.25840			−0.278233			−0.139116	−	0.990276i	$-0.544426\pi$
$881$	−8.25840			−0.278233			−0.139116	+	0.990276i	$0.544426\pi$
$882$	−21.6438	−	29.7901i	−0.728784	−	1.00309i
$883$	38.0697	−	12.3696i	1.28115	−	0.416270i	0.412163	−	0.911110i	$-0.364773\pi$
$883$	38.0697	−	12.3696i	1.28115	−	0.416270i	0.868984	+	0.494840i	$0.164773\pi$
$884$	0.498379	−	1.53385i	0.0167623	−	0.0515890i
$885$	−8.87027	−	22.5390i	−0.298171	−	0.757640i
$886$	−16.6346	−	12.0857i	−0.558850	−	0.406029i
$887$	−35.8882	−	11.6608i	−1.20501	−	0.391530i	−0.363406	−	0.931631i	$-0.618386\pi$
$887$	−35.8882	−	11.6608i	−1.20501	−	0.391530i	−0.841601	+	0.540101i	$0.818386\pi$
$888$	1.05899	−	0.344087i	0.0355374	−	0.0115468i
$889$	42.7186	−	31.0369i	1.43274	−	1.04094i
$890$	−34.3261	−	21.8831i	−1.15062	−	0.733525i
$891$		0			0
$892$		−	6.93360i		−	0.232154i
$893$	−3.23968	−	4.45904i	−0.108412	−	0.149216i
$894$	−34.9759	−	107.645i	−1.16977	−	3.60018i
$895$	15.3667	+	18.6531i	0.513653	+	0.623505i
$896$	3.85303	+	2.79939i	0.128721	+	0.0935211i
$897$	4.84589	−	6.66979i	0.161799	−	0.222698i
$898$	28.2790	+	9.18839i	0.943681	+	0.306621i
$899$	−10.1649	−	31.2844i	−0.339019	−	1.04339i
$900$	50.2549	+	27.8975i	1.67516	+	0.929918i
$901$	−7.62803			−0.254127
$902$		0			0
$903$		−	102.318i		−	3.40494i
$904$	−1.52171	+	1.10558i	−0.0506112	+	0.0367712i
$905$	−7.28840	−	1.88732i	−0.242274	−	0.0627366i
$906$	5.99537	−	18.4518i	0.199183	−	0.613022i
$907$	19.7096	−	27.1279i	0.654446	−	0.900767i	−0.344836	−	0.938663i	$-0.612065\pi$
$907$	19.7096	−	27.1279i	0.654446	−	0.900767i	0.999282	+	0.0378956i	$0.0120654\pi$
$908$	3.49191	−	4.80620i	0.115883	−	0.159499i
$909$	−9.47337	+	29.1560i	−0.314212	+	0.967044i
$910$	2.36220	−	9.12228i	0.0783062	−	0.302401i
$911$	11.1506	−	8.10135i	0.369434	−	0.268410i	−0.387542	−	0.921852i	$-0.626676\pi$
$911$	11.1506	−	8.10135i	0.369434	−	0.268410i	0.756976	+	0.653442i	$0.226676\pi$
$912$		−	20.9890i		−	0.695014i
$913$		0			0
$914$	6.80231			0.225000
$915$	−50.6584	+	3.08262i	−1.67471	+	0.101908i
$916$	−1.28733	−	3.96199i	−0.0425345	−	0.130908i
$917$	42.7597	+	13.8935i	1.41205	+	0.458803i
$918$	10.2795	−	14.1485i	0.339274	−	0.466971i
$919$	−33.8273	−	24.5769i	−1.11586	−	0.810719i	−0.132282	−	0.991212i	$-0.542231\pi$
$919$	−33.8273	−	24.5769i	−1.11586	−	0.810719i	−0.983576	+	0.180493i	$0.942231\pi$
$920$	1.15037	+	1.39640i	0.0379267	+	0.0460379i
$921$	7.24324	+	22.2924i	0.238673	+	0.734559i
$922$	−1.68150	−	2.31438i	−0.0553771	−	0.0762200i
$923$			10.1960i			0.335607i
$924$		0			0
$925$	−9.33084	+	4.34399i	−0.306796	+	0.142830i
$926$	25.2993	−	18.3810i	0.831386	−	0.604037i
$927$	16.6326	−	5.40425i	0.546285	−	0.177499i
$928$	31.9749	+	10.3893i	1.04963	+	0.341045i
$929$	10.6004	+	7.70163i	0.347787	+	0.252682i	0.747940	−	0.663766i	$-0.231043\pi$
$929$	10.6004	+	7.70163i	0.347787	+	0.252682i	−0.400153	+	0.916448i	$0.631043\pi$
$930$	96.9149	−	38.1410i	3.17796	−	1.25069i
$931$	−1.93550	+	5.95687i	−0.0634336	+	0.195228i
$932$	−40.2917	+	13.0916i	−1.31980	+	0.428829i
$933$	−38.1486	−	52.5071i	−1.24893	−	1.71900i
$934$	−37.8078			−1.23711
$935$		0			0
$936$	−0.661674			−0.0216275
$937$	−5.14632	−	7.08330i	−0.168123	−	0.231401i	0.716639	−	0.697444i	$-0.245679\pi$
$937$	−5.14632	−	7.08330i	−0.168123	−	0.231401i	−0.884762	+	0.466043i	$0.845679\pi$
$938$	−14.7029	+	4.77725i	−0.480066	+	0.155983i
$939$	−2.11706	+	6.51564i	−0.0690877	+	0.212630i
$940$	4.99262	+	12.6861i	0.162841	+	0.413773i
$941$	−14.2815	−	10.3761i	−0.465563	−	0.338252i	0.330146	−	0.943930i	$-0.392902\pi$
$941$	−14.2815	−	10.3761i	−0.465563	−	0.338252i	−0.795710	+	0.605678i	$0.792902\pi$
$942$	−78.5846	−	25.5337i	−2.56042	−	0.831932i
$943$	13.7049	−	4.45300i	0.446294	−	0.145010i
$944$	11.4494	−	8.31846i	0.372645	−	0.270743i
$945$	28.0803	−	44.0470i	0.913451	−	1.43285i
$946$		0			0
$947$			56.2415i			1.82760i	0.406159	+	0.913802i	$0.366868\pi$
$947$			56.2415i			1.82760i	−0.406159	+	0.913802i	$0.633132\pi$
$948$	−54.6729	−	75.2507i	−1.77569	−	2.44403i
$949$	1.14558	+	3.52572i	0.0371870	+	0.114450i
$950$	−2.31900	−	18.9841i	−0.0752382	−	0.615925i
$951$	−42.5006	−	30.8785i	−1.37818	−	1.00130i
$952$	0.416312	−	0.573005i	0.0134928	−	0.0185712i
$953$	−4.51170	−	1.46594i	−0.146148	−	0.0474865i	0.235029	−	0.971988i	$-0.424481\pi$
$953$	−4.51170	−	1.46594i	−0.146148	−	0.0474865i	−0.381178	+	0.924502i	$0.624481\pi$
$954$	22.0491	+	67.8601i	0.713866	+	2.19705i
$955$	1.25973	+	20.7018i	0.0407638	+	0.669893i
$956$	−3.95540			−0.127927
$957$		0			0
$958$		−	60.4344i		−	1.95255i
$959$	−35.7781	+	25.9943i	−1.15534	+	0.839401i
$960$	−14.2410	+	54.9956i	−0.459628	+	1.77498i
$961$	9.70544	−	29.8703i	0.313079	−	0.963557i
$962$	1.58782	−	2.18545i	0.0511935	−	0.0704617i
$963$	12.8215	−	17.6472i	0.413166	−	0.568674i
$964$	2.58879	−	7.96747i	0.0833792	−	0.256615i
$965$	2.72585	−	10.5266i	0.0877483	−	0.338864i
$966$	66.7828	−	48.5205i	2.14870	−	1.56112i
$967$		−	33.8619i		−	1.08892i	−0.838785	−	0.544462i	$-0.816734\pi$
$967$		−	33.8619i		−	1.08892i	0.838785	−	0.544462i	$-0.183266\pi$
$968$		0			0
$969$	−6.55047			−0.210431
$970$	−4.15888	−	68.3451i	−0.133534	−	2.19443i
$971$	−6.11323	−	18.8146i	−0.196183	−	0.603789i	−0.999961	−	0.00885957i	$-0.997180\pi$
$971$	−6.11323	−	18.8146i	−0.196183	−	0.603789i	0.803778	−	0.594930i	$-0.202820\pi$
$972$	16.0678	+	5.22076i	0.515376	+	0.167456i
$973$	−12.7498	+	17.5486i	−0.408740	+	0.562583i
$974$	1.52982	+	1.11148i	0.0490185	+	0.0356140i
$975$	9.38502	−	1.14643i	0.300561	−	0.0367150i
$976$	−9.16340	−	28.2021i	−0.293313	−	0.902726i
$977$	3.91538	+	5.38905i	0.125264	+	0.172411i	0.867043	−	0.498233i	$-0.166018\pi$
$977$	3.91538	+	5.38905i	0.125264	+	0.172411i	−0.741779	+	0.670644i	$0.766018\pi$
$978$			60.8581i			1.94603i
$979$		0			0
$980$	8.32821	−	13.0637i	0.266035	−	0.417305i
$981$	−68.5379	+	49.7957i	−2.18825	+	1.58985i
$982$	−63.2823	+	20.5617i	−2.01942	+	0.656149i
$983$	4.90945	+	1.59518i	0.156587	+	0.0508783i	0.386262	−	0.922389i	$-0.373766\pi$
$983$	4.90945	+	1.59518i	0.156587	+	0.0508783i	−0.229675	+	0.973267i	$0.573766\pi$
$984$	−1.44641	−	1.05088i	−0.0461098	−	0.0335007i
$985$	9.72392	+	24.7081i	0.309830	+	0.787265i
$986$	3.09335	−	9.52035i	0.0985123	−	0.303190i
$987$	25.9471	−	8.43071i	0.825904	−	0.268352i
$988$	1.50830	+	2.07600i	0.0479855	+	0.0660464i
$989$	47.6592			1.51547
$990$		0			0
$991$	−23.8830			−0.758669			−0.379334	−	0.925260i	$-0.623847\pi$
$991$	−23.8830			−0.758669			−0.379334	+	0.925260i	$0.623847\pi$
$992$	37.4918	+	51.6030i	1.19037	+	1.63840i
$993$	8.57061	−	2.78476i	0.271980	−	0.0883717i
$994$	−31.5476	+	97.0935i	−1.00063	+	3.07962i
$995$	−10.3861	+	4.08749i	−0.329263	+	0.129582i
$996$	52.4658	+	38.1186i	1.66244	+	1.20783i
$997$	−28.1915	−	9.15996i	−0.892833	−	0.290099i	−0.173557	−	0.984824i	$-0.555526\pi$
$997$	−28.1915	−	9.15996i	−0.892833	−	0.290099i	−0.719276	+	0.694725i	$0.755526\pi$
$998$	17.2980	−	5.62047i	0.547560	−	0.177913i
$999$	12.1148	−	8.80194i	0.383296	−	0.278481i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.j.k.124.3		48
5.4	even	2	inner	605.2.j.k.124.10		48
11.2	odd	10		605.2.b.h.364.4	yes	12
11.3	even	5	inner	605.2.j.k.269.4		48
11.4	even	5	inner	605.2.j.k.444.10		48
11.5	even	5	inner	605.2.j.k.9.9		48
11.6	odd	10	inner	605.2.j.k.9.3		48
11.7	odd	10	inner	605.2.j.k.444.4		48
11.8	odd	10	inner	605.2.j.k.269.10		48
11.9	even	5		605.2.b.h.364.10	yes	12
11.10	odd	2	inner	605.2.j.k.124.9		48
55.2	even	20		3025.2.a.bo.1.10		12
55.4	even	10	inner	605.2.j.k.444.3		48
55.9	even	10		605.2.b.h.364.3	✓	12
55.13	even	20		3025.2.a.bo.1.3		12
55.14	even	10	inner	605.2.j.k.269.9		48
55.19	odd	10	inner	605.2.j.k.269.3		48
55.24	odd	10		605.2.b.h.364.9	yes	12
55.29	odd	10	inner	605.2.j.k.444.9		48
55.39	odd	10	inner	605.2.j.k.9.10		48
55.42	odd	20		3025.2.a.bo.1.4		12
55.49	even	10	inner	605.2.j.k.9.4		48
55.53	odd	20		3025.2.a.bo.1.9		12
55.54	odd	2	inner	605.2.j.k.124.4		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
605.2.b.h.364.3	✓	12	55.9	even	10
605.2.b.h.364.4	yes	12	11.2	odd	10
605.2.b.h.364.9	yes	12	55.24	odd	10
605.2.b.h.364.10	yes	12	11.9	even	5
605.2.j.k.9.3		48	11.6	odd	10	inner
605.2.j.k.9.4		48	55.49	even	10	inner
605.2.j.k.9.9		48	11.5	even	5	inner
605.2.j.k.9.10		48	55.39	odd	10	inner
605.2.j.k.124.3		48	1.1	even	1	trivial
605.2.j.k.124.4		48	55.54	odd	2	inner
605.2.j.k.124.9		48	11.10	odd	2	inner
605.2.j.k.124.10		48	5.4	even	2	inner
605.2.j.k.269.3		48	55.19	odd	10	inner
605.2.j.k.269.4		48	11.3	even	5	inner
605.2.j.k.269.9		48	55.14	even	10	inner
605.2.j.k.269.10		48	11.8	odd	10	inner
605.2.j.k.444.3		48	55.4	even	10	inner
605.2.j.k.444.4		48	11.7	odd	10	inner
605.2.j.k.444.9		48	55.29	odd	10	inner
605.2.j.k.444.10		48	11.4	even	5	inner
3025.2.a.bo.1.3		12	55.13	even	20
3025.2.a.bo.1.4		12	55.42	odd	20
3025.2.a.bo.1.9		12	55.53	odd	20
3025.2.a.bo.1.10		12	55.2	even	20

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:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.j (of order \(10\), degree \(4\), not minimal)

\(f(q)\)	\(=\)	\(q+(-1.18898 - 1.63648i) q^{2} +(-2.77210 + 0.900709i) q^{3} +(-0.646385 + 1.98937i) q^{4} +(-2.08073 + 0.818876i) q^{5} +(4.76995 + 3.46557i) q^{6} +(3.05411 + 0.992339i) q^{7} +(0.176498 - 0.0573478i) q^{8} +(4.44619 - 3.23035i) q^{9} +O(q^{10})\)	\(q+(-1.18898 - 1.63648i) q^{2} +(-2.77210 + 0.900709i) q^{3} +(-0.646385 + 1.98937i) q^{4} +(-2.08073 + 0.818876i) q^{5} +(4.76995 + 3.46557i) q^{6} +(3.05411 + 0.992339i) q^{7} +(0.176498 - 0.0573478i) q^{8} +(4.44619 - 3.23035i) q^{9} +(3.81402 + 2.43146i) q^{10} -6.09692i q^{12} +(-0.381328 - 0.524853i) q^{13} +(-2.00731 - 6.17786i) q^{14} +(5.03042 - 4.14414i) q^{15} +(3.08081 + 2.23834i) q^{16} +(0.698566 - 0.961493i) q^{17} +(-10.5728 - 3.43532i) q^{18} +(0.584338 + 1.79841i) q^{19} +(-0.284093 - 4.66865i) q^{20} -9.36008 q^{21} -4.35986i q^{23} +(-0.437617 + 0.317947i) q^{24} +(3.65888 - 3.40772i) q^{25} +(-0.405524 + 1.24807i) q^{26} +(-4.27591 + 5.88529i) q^{27} +(-3.94825 + 5.43431i) q^{28} +(-1.28673 + 3.96013i) q^{29} +(-12.7629 - 3.30492i) q^{30} +(-6.39110 + 4.64341i) q^{31} -8.07420i q^{32} -2.40405 q^{34} +(-7.16738 + 0.436144i) q^{35} +(3.55239 + 10.9331i) q^{36} +(-1.95774 - 0.636109i) q^{37} +(2.24830 - 3.09452i) q^{38} +(1.52982 + 1.11148i) q^{39} +(-0.320285 + 0.263856i) q^{40} +(1.02136 + 3.14343i) q^{41} +(11.1289 + 15.3176i) q^{42} +10.9313i q^{43} +(-6.60607 + 10.3624i) q^{45} +(-7.13485 + 5.18377i) q^{46} +(-2.77210 + 0.900709i) q^{47} +(-10.5564 - 3.42998i) q^{48} +(2.67971 + 1.94692i) q^{49} +(-9.92701 - 1.93601i) q^{50} +(-1.07047 + 3.29456i) q^{51} +(1.29061 - 0.419344i) q^{52} +(-3.77262 - 5.19256i) q^{53} +14.7151 q^{54} +0.595953 q^{56} +(-3.23968 - 4.45904i) q^{57} +(8.01058 - 2.60280i) q^{58} +(1.14842 - 3.53446i) q^{59} +(4.99262 + 12.6861i) q^{60} +(-6.29977 - 4.57705i) q^{61} +(15.1977 + 4.93804i) q^{62} +(16.7847 - 5.45369i) q^{63} +(-7.05167 + 5.12334i) q^{64} +(1.22323 + 0.779817i) q^{65} -2.37993i q^{67} +(1.46122 + 2.01120i) q^{68} +(3.92697 + 12.0860i) q^{69} +(9.23558 + 11.2107i) q^{70} +(-12.7148 - 9.23784i) q^{71} +(0.599492 - 0.825129i) q^{72} +(-5.43460 - 1.76581i) q^{73} +(1.28673 + 3.96013i) q^{74} +(-7.07341 + 12.7421i) q^{75} -3.95540 q^{76} -3.82504i q^{78} +(12.3424 - 8.96729i) q^{79} +(-8.24327 - 2.13458i) q^{80} +(1.45743 - 4.48551i) q^{81} +(3.92980 - 5.40890i) q^{82} +(-6.25211 + 8.60529i) q^{83} +(6.05021 - 18.6206i) q^{84} +(-0.666184 + 2.57265i) q^{85} +(17.8890 - 12.9971i) q^{86} -12.1368i q^{87} -9.00000 q^{89} +(24.8123 - 1.50986i) q^{90} +(-0.643784 - 1.98136i) q^{91} +(8.67337 + 2.81815i) q^{92} +(13.5344 - 18.6285i) q^{93} +(4.76995 + 3.46557i) q^{94} +(-2.68852 - 3.26350i) q^{95} +(7.27250 + 22.3825i) q^{96} +(-8.89794 - 12.2470i) q^{97} -6.70015i q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 20 q^{4} + 6 q^{5} + 20 q^{9}+O(q^{10}) \) 48 * q + 20 * q^4 + 6 * q^5 + 20 * q^9	\( 48 q + 20 q^{4} + 6 q^{5} + 20 q^{9} + 32 q^{14} - 20 q^{15} - 36 q^{16} - 26 q^{20} + 10 q^{25} - 20 q^{26} - 8 q^{31} + 48 q^{34} - 92 q^{36} - 72 q^{45} + 4 q^{49} + 192 q^{56} + 32 q^{59} + 92 q^{60} - 28 q^{64} + 16 q^{69} + 12 q^{70} - 112 q^{71} - 36 q^{75} + 106 q^{80} + 20 q^{81} + 56 q^{86} - 432 q^{89} - 72 q^{91}+O(q^{100}) \) 48 * q + 20 * q^4 + 6 * q^5 + 20 * q^9 + 32 * q^14 - 20 * q^15 - 36 * q^16 - 26 * q^20 + 10 * q^25 - 20 * q^26 - 8 * q^31 + 48 * q^34 - 92 * q^36 - 72 * q^45 + 4 * q^49 + 192 * q^56 + 32 * q^59 + 92 * q^60 - 28 * q^64 + 16 * q^69 + 12 * q^70 - 112 * q^71 - 36 * q^75 + 106 * q^80 + 20 * q^81 + 56 * q^86 - 432 * q^89 - 72 * q^91

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