LMFDB - Embedded newform 583.2.q.b.21.19

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [583,2,Mod(21,583)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(583, base_ring=CyclotomicField(52)) chi = DirichletCharacter(H, H._module([26, 31])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("583.21"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 583 = 11 \cdot 53 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	583.q (of order $52$, degree $24$, minimal)

Newform invariants

comment:select newform

sage:traces = [1200] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.65527843784$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$50$ over $\Q(\zeta_{52})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{52}]$

Embedding invariants

Embedding label			21.19
Character	$\chi$	$=$	583.21
Dual form			583.2.q.b.472.19

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.926926 - 0.288842i) q^{2} +(-3.04302 - 1.36955i) q^{3} +(-0.870206 - 0.600660i) q^{4} +(-3.15436 - 0.190803i) q^{5} +(2.42507 + 2.14842i) q^{6} +(2.28573 - 1.19964i) q^{7} +(1.83065 + 2.33665i) q^{8} +(5.39491 + 6.08959i) q^{9} +(2.86874 + 1.08797i) q^{10} +(3.26778 - 0.567137i) q^{11} +(1.82542 + 3.01961i) q^{12} +(-3.65597 + 2.52354i) q^{13} +(-2.46521 + 0.451766i) q^{14} +(9.33744 + 4.90067i) q^{15} +(-0.272049 - 0.717335i) q^{16} +(-0.601793 - 4.95621i) q^{17} +(-3.24175 - 7.20288i) q^{18} +(-1.15833 + 6.32082i) q^{19} +(2.63033 + 2.06073i) q^{20} +(-8.59848 + 0.520112i) q^{21} +(-3.19280 - 0.418176i) q^{22} +(1.00236 + 1.00236i) q^{23} +(-2.37053 - 9.61763i) q^{24} +(4.95002 + 0.601041i) q^{25} +(4.11772 - 1.28313i) q^{26} +(-5.09848 - 16.3616i) q^{27} +(-2.70963 - 0.329009i) q^{28} +(7.45303 - 1.83701i) q^{29} +(-7.23960 - 7.23960i) q^{30} +(0.795225 - 1.31546i) q^{31} +(-0.313478 - 5.18241i) q^{32} +(-10.7206 - 2.74958i) q^{33} +(-0.873743 + 4.76786i) q^{34} +(-7.43890 + 3.34798i) q^{35} +(-1.03691 - 8.53971i) q^{36} +(-3.96166 + 1.50246i) q^{37} +(2.89941 - 5.52436i) q^{38} +(14.5813 - 2.67212i) q^{39} +(-5.32868 - 7.71992i) q^{40} +(-0.308948 - 0.511062i) q^{41} +(8.12038 + 2.00149i) q^{42} +(-0.277576 + 0.731908i) q^{43} +(-3.18430 - 1.46930i) q^{44} +(-15.8556 - 20.2381i) q^{45} +(-0.639589 - 1.21863i) q^{46} +(6.17696 + 5.47231i) q^{47} +(-0.154576 + 2.55545i) q^{48} +(-0.191039 + 0.276768i) q^{49} +(-4.41469 - 1.98689i) q^{50} +(-4.95652 + 15.9060i) q^{51} +4.69724 q^{52} +(6.88492 + 2.36598i) q^{53} +16.6386i q^{54} +(-10.4159 + 1.16545i) q^{55} +(6.98751 + 3.14482i) q^{56} +(12.1815 - 17.6480i) q^{57} +(-7.43901 - 0.449977i) q^{58} +(-2.14039 + 2.41600i) q^{59} +(-5.18187 - 9.87322i) q^{60} +(-2.13346 - 2.72317i) q^{61} +(-1.11708 + 0.989642i) q^{62} +(19.6366 + 7.44720i) q^{63} +(-1.57353 + 6.38405i) q^{64} +(12.0137 - 7.26256i) q^{65} +(9.14302 + 5.64521i) q^{66} +(-10.1832 + 1.86614i) q^{67} +(-2.45331 + 4.67440i) q^{68} +(-1.67741 - 4.42297i) q^{69} +(7.86234 - 0.954661i) q^{70} +(5.68258 - 2.55752i) q^{71} +(-4.35307 + 23.7539i) q^{72} +(-1.10334 + 1.40831i) q^{73} +(4.10614 - 0.248376i) q^{74} +(-14.2398 - 8.60828i) q^{75} +(4.80466 - 4.80466i) q^{76} +(6.78889 - 5.21649i) q^{77} +(-14.2876 - 1.73483i) q^{78} +(-0.629619 - 2.02052i) q^{79} +(0.721270 + 2.31464i) q^{80} +(-3.95136 + 32.5424i) q^{81} +(0.138756 + 0.562953i) q^{82} +(-4.94401 - 4.94401i) q^{83} +(7.79486 + 4.71216i) q^{84} +(0.952608 + 15.7485i) q^{85} +(0.468698 - 0.598249i) q^{86} +(-25.1956 - 4.61726i) q^{87} +(7.30735 + 6.59742i) q^{88} +(-1.40077 - 11.5364i) q^{89} +(8.85131 + 23.3390i) q^{90} +(-5.32922 + 10.1540i) q^{91} +(-0.270182 - 1.47434i) q^{92} +(-4.22148 + 2.91387i) q^{93} +(-4.14495 - 6.85659i) q^{94} +(4.85983 - 19.7171i) q^{95} +(-6.14365 + 16.1995i) q^{96} +(13.9055 - 12.3192i) q^{97} +(0.257021 - 0.201363i) q^{98} +(21.0830 + 16.8398i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 48 q^{3} - 52 q^{4} - 44 q^{5} - 52 q^{9} - 26 q^{11} - 64 q^{12} - 28 q^{14} - 28 q^{15} + 72 q^{16} - 52 q^{20} - 12 q^{22} - 68 q^{23} - 52 q^{25} - 80 q^{26} - 72 q^{27} - 56 q^{31} - 28 q^{33}+ \cdots - 258 q^{99}+O(q^{100}) $ 1200 * q - 48 * q^3 - 52 * q^4 - 44 * q^5 - 52 * q^9 - 26 * q^11 - 64 * q^12 - 28 * q^14 - 28 * q^15 + 72 * q^16 - 52 * q^20 - 12 * q^22 - 68 * q^23 - 52 * q^25 - 80 * q^26 - 72 * q^27 - 56 * q^31 - 28 * q^33 - 40 * q^34 - 144 * q^36 - 52 * q^37 - 52 * q^38 + 164 * q^42 - 150 * q^44 + 224 * q^45 - 36 * q^47 - 128 * q^48 - 180 * q^49 + 56 * q^53 - 124 * q^55 + 220 * q^56 - 104 * q^59 - 520 * q^60 + 156 * q^64 - 70 * q^66 + 12 * q^67 - 36 * q^69 - 52 * q^70 - 68 * q^71 + 8 * q^75 - 38 * q^77 - 52 * q^78 - 80 * q^80 + 40 * q^81 - 52 * q^82 - 48 * q^86 - 138 * q^88 - 12 * q^89 - 52 * q^91 - 144 * q^92 + 156 * q^93 + 36 * q^97 - 258 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/583\mathbb{Z}\right)^\times$.

$n$	$266$	$320$
$\chi(n)$	$-1$	$e\left(\frac{31}{52}\right)$

Coefficient data

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

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

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

$2$	−0.926926	−	0.288842i	−0.655435	−	0.204242i	−0.0482908	−	0.998833i	$-0.515377\pi$
$2$	−0.926926	−	0.288842i	−0.655435	−	0.204242i	−0.607145	+	0.794591i	$0.707685\pi$
$3$	−3.04302	−	1.36955i	−1.75689	−	0.790710i	−0.988593	−	0.150612i	$-0.951876\pi$
$3$	−3.04302	−	1.36955i	−1.75689	−	0.790710i	−0.768293	−	0.640098i	$-0.778894\pi$
$4$	−0.870206	−	0.600660i	−0.435103	−	0.300330i
$5$	−3.15436	−	0.190803i	−1.41067	−	0.0853299i	−0.662613	−	0.748962i	$-0.730552\pi$
$5$	−3.15436	−	0.190803i	−1.41067	−	0.0853299i	−0.748059	+	0.663632i	$0.769014\pi$
$6$	2.42507	+	2.14842i	0.990029	+	0.877089i
$7$	2.28573	−	1.19964i	0.863924	−	0.453423i	0.0262904	−	0.999654i	$-0.491631\pi$
$7$	2.28573	−	1.19964i	0.863924	−	0.453423i	0.837634	+	0.546232i	$0.183938\pi$
$8$	1.83065	+	2.33665i	0.647232	+	0.826131i
$9$	5.39491	+	6.08959i	1.79830	+	2.02986i
$10$	2.86874	+	1.08797i	0.907176	+	0.344046i
$11$	3.26778	−	0.567137i	0.985271	−	0.170998i
$11$	3.26778	−	0.567137i	0.985271	−	0.170998i
$12$	1.82542	+	3.01961i	0.526953	+	0.871686i
$13$	−3.65597	+	2.52354i	−1.01398	+	0.699903i	−0.954465	−	0.298324i	$-0.903572\pi$
$13$	−3.65597	+	2.52354i	−1.01398	+	0.699903i	−0.0595198	+	0.998227i	$0.518957\pi$
$14$	−2.46521	+	0.451766i	−0.658854	+	0.120740i
$15$	9.33744	+	4.90067i	2.41092	+	1.26535i
$16$	−0.272049	−	0.717335i	−0.0680123	−	0.179334i
$17$	−0.601793	−	4.95621i	−0.145956	−	1.20206i	−0.863064	−	0.505095i	$-0.831457\pi$
$17$	−0.601793	−	4.95621i	−0.145956	−	1.20206i	0.717107	−	0.696963i	$-0.245466\pi$
$18$	−3.24175	−	7.20288i	−0.764088	−	1.69773i
$19$	−1.15833	+	6.32082i	−0.265740	+	1.45010i	0.531820	+	0.846857i	$0.321508\pi$
$19$	−1.15833	+	6.32082i	−0.265740	+	1.45010i	−0.797560	+	0.603239i	$0.793876\pi$
$20$	2.63033	+	2.06073i	0.588160	+	0.460794i
$21$	−8.59848	+	0.520112i	−1.87634	+	0.113498i
$22$	−3.19280	−	0.418176i	−0.680707	−	0.0891554i
$23$	1.00236	+	1.00236i	0.209006	+	0.209006i	0.803845	−	0.594839i	$-0.202784\pi$
$23$	1.00236	+	1.00236i	0.209006	+	0.209006i	−0.594839	+	0.803845i	$0.702784\pi$
$24$	−2.37053	−	9.61763i	−0.483883	−	1.96319i
$25$	4.95002	+	0.601041i	0.990004	+	0.120208i
$26$	4.11772	−	1.28313i	0.807551	−	0.251643i
$27$	−5.09848	−	16.3616i	−0.981203	−	3.14879i
$28$	−2.70963	−	0.329009i	−0.512073	−	0.0621769i
$29$	7.45303	−	1.83701i	1.38399	−	0.341124i	0.524126	−	0.851641i	$-0.324392\pi$
$29$	7.45303	−	1.83701i	1.38399	−	0.341124i	0.859867	+	0.510517i	$0.170546\pi$
$30$	−7.23960	−	7.23960i	−1.32176	−	1.32176i
$31$	0.795225	−	1.31546i	0.142827	−	0.236264i	−0.776175	−	0.630517i	$-0.782843\pi$
$31$	0.795225	−	1.31546i	0.142827	−	0.236264i	0.919002	+	0.394253i	$0.128997\pi$
$32$	−0.313478	−	5.18241i	−0.0554156	−	0.916129i
$33$	−10.7206	−	2.74958i	−1.86622	−	0.478640i
$34$	−0.873743	+	4.76786i	−0.149846	+	0.817682i
$35$	−7.43890	+	3.34798i	−1.25740	+	0.565912i
$36$	−1.03691	−	8.53971i	−0.172818	−	1.42329i
$37$	−3.96166	+	1.50246i	−0.651293	+	0.247003i	−0.658050	−	0.752974i	$-0.728618\pi$
$37$	−3.96166	+	1.50246i	−0.651293	+	0.247003i	0.00675682	+	0.999977i	$0.497849\pi$
$38$	2.89941	−	5.52436i	0.470346	−	0.896169i
$39$	14.5813	−	2.67212i	2.33488	−	0.427882i
$40$	−5.32868	−	7.71992i	−0.842538	−	1.22063i
$41$	−0.308948	−	0.511062i	−0.0482495	−	0.0798145i	0.830726	−	0.556682i	$-0.187926\pi$
$41$	−0.308948	−	0.511062i	−0.0482495	−	0.0798145i	−0.878975	+	0.476868i	$0.841772\pi$
$42$	8.12038	+	2.00149i	1.25300	+	0.308837i
$43$	−0.277576	+	0.731908i	−0.0423300	+	0.111615i	−0.954514	−	0.298165i	$-0.903625\pi$
$43$	−0.277576	+	0.731908i	−0.0423300	+	0.111615i	0.912184	+	0.409780i	$0.134395\pi$
$44$	−3.18430	−	1.46930i	−0.480051	−	0.221505i
$45$	−15.8556	−	20.2381i	−2.36361	−	3.01692i
$46$	−0.639589	−	1.21863i	−0.0943022	−	0.179678i
$47$	6.17696	+	5.47231i	0.901002	+	0.798218i	0.980070	−	0.198651i	$-0.0636560\pi$
$47$	6.17696	+	5.47231i	0.901002	+	0.798218i	−0.0790681	+	0.996869i	$0.525194\pi$
$48$	−0.154576	+	2.55545i	−0.0223111	+	0.368847i
$49$	−0.191039	+	0.276768i	−0.0272913	+	0.0395383i
$50$	−4.41469	−	1.98689i	−0.624332	−	0.280989i
$51$	−4.95652	+	15.9060i	−0.694051	+	2.22729i
$52$	4.69724			0.651390
$53$	6.88492	+	2.36598i	0.945717	+	0.324992i
$53$	6.88492	+	2.36598i	0.945717	+	0.324992i
$54$			16.6386i			2.26423i
$55$	−10.4159	+	1.16545i	−1.40449	+	0.157149i
$56$	6.98751	+	3.14482i	0.933746	+	0.420245i
$57$	12.1815	−	17.6480i	1.61348	−	2.33753i
$58$	−7.43901	−	0.449977i	−0.976790	−	0.0590849i
$59$	−2.14039	+	2.41600i	−0.278655	+	0.314537i	−0.871130	−	0.491052i	$-0.836612\pi$
$59$	−2.14039	+	2.41600i	−0.278655	+	0.314537i	0.592475	+	0.805589i	$0.298151\pi$
$60$	−5.18187	−	9.87322i	−0.668976	−	1.27463i
$61$	−2.13346	−	2.72317i	−0.273162	−	0.348666i	0.631056	−	0.775738i	$-0.282622\pi$
$61$	−2.13346	−	2.72317i	−0.273162	−	0.348666i	−0.904218	+	0.427072i	$0.859545\pi$
$62$	−1.11708	+	0.989642i	−0.141869	+	0.125685i
$63$	19.6366	+	7.44720i	2.47398	+	0.938259i
$64$	−1.57353	+	6.38405i	−0.196691	+	0.798006i
$65$	12.0137	−	7.26256i	1.49012	−	0.900810i
$66$	9.14302	+	5.64521i	1.12543	+	0.694878i
$67$	−10.1832	+	1.86614i	−1.24408	+	0.227986i	−0.761672	−	0.647962i	$-0.775621\pi$
$67$	−10.1832	+	1.86614i	−1.24408	+	0.227986i	−0.482406	+	0.875948i	$0.660237\pi$
$68$	−2.45331	+	4.67440i	−0.297508	+	0.566854i
$69$	−1.67741	−	4.42297i	−0.201937	−	0.532463i
$70$	7.86234	−	0.954661i	0.939730	−	0.114104i
$71$	5.68258	−	2.55752i	0.674398	−	0.303522i	−0.0441242	−	0.999026i	$-0.514050\pi$
$71$	5.68258	−	2.55752i	0.674398	−	0.303522i	0.718522	+	0.695504i	$0.244819\pi$
$72$	−4.35307	+	23.7539i	−0.513014	+	2.79943i
$73$	−1.10334	+	1.40831i	−0.129137	+	0.164831i	−0.847426	−	0.530914i	$-0.821849\pi$
$73$	−1.10334	+	1.40831i	−0.129137	+	0.164831i	0.718289	+	0.695745i	$0.244926\pi$
$74$	4.10614	−	0.248376i	0.477329	−	0.0288731i
$75$	−14.2398	−	8.60828i	−1.64427	−	0.993998i
$76$	4.80466	−	4.80466i	0.551132	−	0.551132i
$77$	6.78889	−	5.21649i	0.773666	−	0.594474i
$78$	−14.2876	−	1.73483i	−1.61775	−	0.196431i
$79$	−0.629619	−	2.02052i	−0.0708377	−	0.227326i	0.912512	−	0.409050i	$-0.134140\pi$
$79$	−0.629619	−	2.02052i	−0.0708377	−	0.227326i	−0.983350	+	0.181724i	$0.941832\pi$
$80$	0.721270	+	2.31464i	0.0806405	+	0.258784i
$81$	−3.95136	+	32.5424i	−0.439040	+	3.61582i
$82$	0.138756	+	0.562953i	0.0153230	+	0.0621678i
$83$	−4.94401	−	4.94401i	−0.542675	−	0.542675i	0.381637	−	0.924312i	$-0.375360\pi$
$83$	−4.94401	−	4.94401i	−0.542675	−	0.542675i	−0.924312	+	0.381637i	$0.875360\pi$
$84$	7.79486	+	4.71216i	0.850489	+	0.514139i
$85$	0.952608	+	15.7485i	0.103325	+	1.70816i
$86$	0.468698	−	0.598249i	0.0505410	−	0.0645108i
$87$	−25.1956	−	4.61726i	−2.70125	−	0.495022i
$88$	7.30735	+	6.59742i	0.778966	+	0.703287i
$89$	−1.40077	−	11.5364i	−0.148482	−	1.22286i	−0.856306	−	0.516469i	$-0.827246\pi$
$89$	−1.40077	−	11.5364i	−0.148482	−	1.22286i	0.707824	−	0.706389i	$-0.249677\pi$
$90$	8.85131	+	23.3390i	0.933010	+	2.46014i
$91$	−5.32922	+	10.1540i	−0.558654	+	1.06443i
$92$	−0.270182	−	1.47434i	−0.0281684	−	0.153710i
$93$	−4.22148	+	2.91387i	−0.437747	+	0.302155i
$94$	−4.14495	−	6.85659i	−0.427519	−	0.707203i
$95$	4.85983	−	19.7171i	0.498608	−	2.02293i
$96$	−6.14365	+	16.1995i	−0.627034	+	1.65335i
$97$	13.9055	−	12.3192i	1.41189	−	1.25083i	0.485512	−	0.874230i	$-0.338633\pi$
$97$	13.9055	−	12.3192i	1.41189	−	1.25083i	0.926378	−	0.376595i	$-0.122905\pi$
$98$	0.257021	−	0.201363i	0.0259631	−	0.0203408i
$99$	21.0830	+	16.8398i	2.11892	+	1.69246i
$100$	−3.94652	−	3.49631i	−0.394652	−	0.349631i
$101$	9.42139	+	0.569889i	0.937463	+	0.0567061i	0.522039	−	0.852922i	$-0.325172\pi$
$101$	9.42139	+	0.569889i	0.937463	+	0.0567061i	0.415424	+	0.909628i	$0.363633\pi$
$102$	9.18864	−	13.3120i	0.909811	−	1.31809i
$103$	5.80404	−	12.8960i	0.571889	−	1.27068i	−0.368197	−	0.929748i	$-0.620025\pi$
$103$	5.80404	−	12.8960i	0.571889	−	1.27068i	0.940086	−	0.340937i	$-0.110744\pi$
$104$	−12.5894	−	3.92302i	−1.23449	−	0.384684i
$105$	27.2219			2.65659
$106$	−5.69842	−	4.18174i	−0.553479	−	0.406166i
$107$		−	14.3660i		−	1.38881i	−0.719583	−	0.694407i	$-0.755667\pi$
$107$		−	14.3660i		−	1.38881i	0.719583	−	0.694407i	$-0.244333\pi$
$108$	−5.39103	+	17.3004i	−0.518752	+	1.66473i
$109$	2.54587	−	5.65668i	0.243850	−	0.541812i	−0.748805	−	0.662790i	$-0.769372\pi$
$109$	2.54587	−	5.65668i	0.243850	−	0.541812i	0.992655	+	0.120978i	$0.0386030\pi$
$110$	9.99143	+	1.92827i	0.952646	+	0.183854i
$111$	14.1131	+	0.853685i	1.33956	+	0.0810282i
$112$	−1.48238	−	1.31327i	−0.140071	−	0.124092i
$113$	0.134433	+	0.256140i	0.0126464	+	0.0240956i	0.891697	−	0.452632i	$-0.149515\pi$
$113$	0.134433	+	0.256140i	0.0126464	+	0.0240956i	−0.879051	+	0.476728i	$0.841823\pi$
$114$	−16.3888	+	12.8398i	−1.53495	+	1.20256i
$115$	−2.97054	−	3.35305i	−0.277005	−	0.312674i
$116$	−7.58909	−	2.87816i	−0.704629	−	0.267231i
$117$	−35.0910	−	8.64914i	−3.24416	−	0.799614i
$118$	2.68183	−	1.62122i	0.246882	−	0.149245i
$119$	−7.32122	−	10.6066i	−0.671135	−	0.972308i
$120$	5.64243	+	30.7897i	0.515081	+	2.81071i
$121$	10.3567	−	3.70655i	0.941519	−	0.336959i
$122$	1.19100	+	3.14041i	0.107828	+	0.284319i
$123$	0.240208	+	1.97829i	0.0216588	+	0.178376i
$124$	−1.48216	+	0.667064i	−0.133102	+	0.0599041i
$125$	0.0423546	+	0.00776177i	0.00378831	+	0.000694234i
$126$	−16.0506	−	12.5749i	−1.42991	−	1.12026i
$127$	0.122795	−	0.00742771i	0.0108963	−	0.000659103i	−0.0549295	−	0.998490i	$-0.517493\pi$
$127$	0.122795	−	0.00742771i	0.0108963	−	0.000659103i	0.0658257	+	0.997831i	$0.479032\pi$
$128$	−2.06939	+	3.42320i	−0.182910	+	0.302571i
$129$	1.84705	−	1.84705i	0.162624	−	0.162624i
$130$	−13.2336	+	3.26178i	−1.16066	+	0.286077i
$131$	−1.81745	+	14.9680i	−0.158791	+	1.30776i	0.667538	+	0.744576i	$0.267348\pi$
$131$	−1.81745	+	14.9680i	−0.158791	+	1.30776i	−0.826329	+	0.563188i	$0.809575\pi$
$132$	7.67759	+	8.83214i	0.668248	+	0.768739i
$133$	4.93510	+	15.8373i	0.427927	+	1.37327i
$134$	9.97810	+	1.21156i	0.861977	+	0.104663i
$135$	12.9606	+	52.5832i	1.11547	+	4.52564i
$136$	10.4793	−	10.4793i	0.898590	−	0.898590i
$137$	−0.445824	+	0.737483i	−0.0380893	+	0.0630074i	−0.874246	−	0.485483i	$-0.838644\pi$
$137$	−0.445824	+	0.737483i	−0.0380893	+	0.0630074i	0.836157	+	0.548491i	$0.184797\pi$
$138$	0.277297	+	4.58427i	0.0236051	+	0.390239i
$139$	7.04512	+	5.51950i	0.597560	+	0.468158i	0.869349	−	0.494199i	$-0.164538\pi$
$139$	7.04512	+	5.51950i	0.597560	+	0.468158i	−0.271789	+	0.962357i	$0.587615\pi$
$140$	8.48438	+	1.55482i	0.717061	+	0.131406i
$141$	−11.3020	−	25.1120i	−0.951799	−	2.11481i
$142$	−6.00604	+	0.729266i	−0.504016	+	0.0611986i
$143$	−10.5157	+	10.3198i	−0.879368	+	0.862984i
$144$	2.90060	−	5.52663i	0.241716	−	0.460552i
$145$	−23.8600	+	4.37251i	−1.98147	+	0.363117i
$146$	1.42950	−	0.986711i	0.118306	−	0.0816608i
$147$	0.960382	−	0.580571i	0.0792110	−	0.0478847i
$148$	4.34993	+	1.07216i	0.357562	+	0.0881311i
$149$	5.28610	−	13.9383i	0.433054	−	1.14187i	−0.523939	−	0.851756i	$-0.675538\pi$
$149$	5.28610	−	13.9383i	0.433054	−	1.14187i	0.956992	−	0.290113i	$-0.0936929\pi$
$150$	10.7128	+	12.0923i	0.874699	+	0.987331i
$151$	−0.386618	+	0.302896i	−0.0314625	+	0.0246493i	−0.632327	−	0.774702i	$-0.717900\pi$
$151$	−0.386618	+	0.302896i	−0.0314625	+	0.0246493i	0.600864	+	0.799351i	$0.294823\pi$
$152$	−16.8901	+	8.86459i	−1.36996	+	0.719013i
$153$	26.9347	−	30.4030i	2.17754	−	2.45794i
$154$	−7.79953	+	2.87438i	−0.628504	+	0.231624i
$155$	−2.75942	+	3.99771i	−0.221642	+	0.321104i
$156$	−14.2938	−	6.43310i	−1.14442	−	0.515060i
$157$	12.2444	+	3.81551i	0.977209	+	0.304511i	0.744195	−	0.667963i	$-0.232833\pi$
$157$	12.2444	+	3.81551i	0.977209	+	0.304511i	0.233014	+	0.972473i	$0.425141\pi$
$158$			2.05473i			0.163466i
$159$	−17.7106	−	16.6289i	−1.40454	−	1.31876i
$160$			16.4070i			1.29709i
$161$	3.49359	+	1.08865i	0.275334	+	0.0857974i
$162$	13.0622	−	29.0230i	1.02626	−	2.28026i
$163$	4.85930	+	3.35414i	0.380610	+	0.262716i	0.742974	−	0.669321i	$-0.233415\pi$
$163$	4.85930	+	3.35414i	0.380610	+	0.262716i	−0.362364	+	0.932037i	$0.618030\pi$
$164$	−0.0381262	+	0.630302i	−0.00297716	+	0.0492183i
$165$	33.2920	+	10.7187i	2.59178	+	0.834448i
$166$	3.15469	+	6.01076i	0.244852	+	0.466526i
$167$	−1.74020	−	2.22120i	−0.134661	−	0.171882i	0.715148	−	0.698973i	$-0.246359\pi$
$167$	−1.74020	−	2.22120i	−0.134661	−	0.171882i	−0.849809	+	0.527092i	$0.823282\pi$
$168$	−16.9561	−	19.1395i	−1.30819	−	1.47664i
$169$	2.38804	−	6.29674i	0.183695	−	0.484365i
$170$	3.66582	−	14.8728i	0.281156	−	1.14069i
$171$	−44.7404	+	27.0465i	−3.42138	+	2.06830i
$172$	0.681176	−	0.470182i	0.0519392	−	0.0358511i
$173$	−2.30822	−	12.5956i	−0.175491	−	0.957622i	−0.946959	−	0.321355i	$-0.895862\pi$
$173$	−2.30822	−	12.5956i	−0.175491	−	0.957622i	0.771468	−	0.636268i	$-0.219523\pi$
$174$	22.0208	+	11.5574i	1.66939	+	0.876163i
$175$	12.0354	−	4.56444i	0.909793	−	0.345039i
$176$	−1.29582	−	2.18980i	−0.0976763	−	0.165062i
$177$	9.82209	−	4.42056i	0.738273	−	0.332270i
$178$	−2.03378	+	11.0980i	−0.152439	+	0.831831i
$179$	10.4098	+	8.15558i	0.778068	+	0.609577i	0.925174	−	0.379544i	$-0.123919\pi$
$179$	10.4098	+	8.15558i	0.778068	+	0.609577i	−0.147106	+	0.989121i	$0.546996\pi$
$180$	1.64137	+	27.1351i	0.122341	+	2.02253i
$181$	2.49507	+	1.50832i	0.185457	+	0.112113i	0.607020	−	0.794686i	$-0.292365\pi$
$181$	2.49507	+	1.50832i	0.185457	+	0.112113i	−0.421563	+	0.906799i	$0.638519\pi$
$182$	7.87268	−	7.87268i	0.583562	−	0.583562i
$183$	2.76265	+	11.2085i	0.204221	+	0.828558i
$184$	−0.507195	+	4.17713i	−0.0373909	+	0.307942i
$185$	12.7832	−	3.98340i	0.939837	−	0.292865i
$186$	4.75464	−	1.48161i	0.348627	−	0.108637i
$187$	−4.77738	−	15.8545i	−0.349356	−	1.15940i
$188$	−2.08823	−	8.47229i	−0.152300	−	0.617905i
$189$	−31.2818	−	31.2818i	−2.27542	−	2.27542i
$190$	−10.1998	+	16.8726i	−0.739974	+	1.22407i
$191$	−15.4345	+	0.933616i	−1.11680	+	0.0675541i	−0.608448	−	0.793594i	$-0.708208\pi$
$191$	−15.4345	+	0.933616i	−1.11680	+	0.0675541i	−0.508355	+	0.861148i	$0.669746\pi$
$192$	13.5315	−	17.2717i	0.976555	−	1.24648i
$193$	−10.1500	−	1.86006i	−0.730613	−	0.133890i	−0.197944	−	0.980213i	$-0.563426\pi$
$193$	−10.1500	−	1.86006i	−0.730613	−	0.133890i	−0.532669	+	0.846324i	$0.678811\pi$
$194$	−16.4477	+	7.40249i	−1.18087	+	0.531468i
$195$	−46.5045	+	5.64666i	−3.33025	+	0.404366i
$196$	0.332487	−	0.126096i	0.0237491	−	0.00900683i
$197$	−23.5445	−	12.3571i	−1.67748	−	0.880407i	−0.987696	−	0.156388i	$-0.950015\pi$
$197$	−23.5445	−	12.3571i	−1.67748	−	0.880407i	−0.689780	−	0.724019i	$-0.742293\pi$
$198$	−14.6783	−	21.6989i	−1.04314	−	1.54207i
$199$	−9.30036	+	6.41958i	−0.659285	+	0.455072i	−0.850147	−	0.526545i	$-0.823487\pi$
$199$	−9.30036	+	6.41958i	−0.659285	+	0.455072i	0.190862	+	0.981617i	$0.438872\pi$
$200$	7.65732	+	12.6668i	0.541454	+	0.895675i
$201$	33.5435	+	8.26772i	2.36597	+	0.583160i
$202$	−8.56832	−	3.24953i	−0.602865	−	0.228636i
$203$	14.8319	−	13.1399i	1.04099	−	0.922239i
$204$	13.8673	−	10.8643i	0.970905	−	0.760656i
$205$	0.877019	+	1.67102i	0.0612537	+	0.116709i
$206$	−9.10483	+	10.2772i	−0.634363	+	0.716048i
$207$	−0.696323	+	11.5116i	−0.0483978	+	0.800111i
$208$	2.80482	+	1.93603i	0.194480	+	0.134240i
$209$	−0.200401	+	21.3120i	−0.0138620	+	1.47418i
$210$	−25.2327	−	7.86283i	−1.74122	−	0.542587i
$211$	17.2343			1.18646			0.593228	−	0.805035i	$-0.297853\pi$
$211$	17.2343			1.18646			0.593228	+	0.805035i	$0.297853\pi$
$212$	−4.57016	−	6.19438i	−0.313880	−	0.425432i
$213$	−20.7948			−1.42484
$214$	−4.14950	+	13.3162i	−0.283654	+	0.910277i
$215$	1.01522	−	2.25574i	0.0692378	−	0.153840i
$216$	28.8978	−	41.8657i	1.96625	−	2.84860i
$217$	0.239583	−	3.96078i	0.0162640	−	0.268875i
$218$	−3.99372	+	4.50797i	−0.270489	+	0.305318i
$219$	5.28625	−	2.77444i	0.357212	−	0.187479i
$220$	9.76406	+	5.24226i	0.658293	+	0.353433i
$221$	14.7073	+	16.6011i	0.989321	+	1.11671i
$222$	−12.8352	−	4.86775i	−0.861443	−	0.326702i
$223$	−2.81976	+	11.4402i	−0.188825	+	0.766094i	0.797777	+	0.602952i	$0.206009\pi$
$223$	−2.81976	+	11.4402i	−0.188825	+	0.766094i	−0.986603	+	0.163142i	$0.947837\pi$
$224$	−6.93357	−	11.4695i	−0.463269	−	0.766340i
$225$	23.0448	+	33.3862i	1.53632	+	2.22574i
$226$	−0.0506251	−	0.276252i	−0.00336753	−	0.0183760i
$227$	11.6996	−	22.2917i	0.776529	−	1.47955i	−0.0983192	−	0.995155i	$-0.531347\pi$
$227$	11.6996	−	22.2917i	0.776529	−	1.47955i	0.874848	−	0.484397i	$-0.160961\pi$
$228$	−21.2009	+	8.04043i	−1.40406	+	0.532490i
$229$	−6.88842	+	0.836405i	−0.455199	+	0.0552712i	−0.344926	−	0.938630i	$-0.612096\pi$
$229$	−6.88842	+	0.836405i	−0.455199	+	0.0552712i	−0.110274	+	0.993901i	$0.535173\pi$
$230$	1.78497	+	3.96604i	0.117698	+	0.261513i
$231$	−27.8029	+	6.57613i	−1.82930	+	0.432678i
$232$	17.9363	+	14.0522i	1.17758	+	0.922573i
$233$	21.3885	−	1.29377i	1.40121	−	0.0847576i	0.657598	−	0.753369i	$-0.271573\pi$
$233$	21.3885	−	1.29377i	1.40121	−	0.0847576i	0.743612	+	0.668612i	$0.233111\pi$
$234$	30.0285	+	18.1528i	1.96302	+	1.18669i
$235$	−18.4402	−	18.4402i	−1.20291	−	1.20291i
$236$	3.31378	−	0.816773i	0.215709	−	0.0531674i
$237$	−0.851261	+	7.01077i	−0.0552954	+	0.455398i
$238$	3.72259	+	11.9462i	0.241300	+	0.774359i
$239$	−14.2794	+	4.44965i	−0.923660	+	0.287824i	−0.722209	−	0.691675i	$-0.756873\pi$
$239$	−14.2794	+	4.44965i	−0.923660	+	0.287824i	−0.201450	+	0.979499i	$0.564565\pi$
$240$	0.975176	−	8.03130i	0.0629473	−	0.518418i
$241$	18.1109	−	4.46393i	1.16662	−	0.287547i	0.391998	−	0.919966i	$-0.371784\pi$
$241$	18.1109	−	4.46393i	1.16662	−	0.287547i	0.774626	+	0.632419i	$0.217938\pi$
$242$	−10.6705	+	0.444249i	−0.685926	+	0.0285574i
$243$	29.9947	−	49.6173i	1.92416	−	3.18295i
$244$	0.220857	+	3.65120i	0.0141389	+	0.233744i
$245$	0.655414	−	0.836574i	0.0418728	−	0.0534467i
$246$	0.348758	−	1.90311i	0.0222360	−	0.121338i
$247$	−11.7160	−	26.0319i	−0.745470	−	1.65637i
$248$	4.52956	−	0.549988i	0.287627	−	0.0349243i
$249$	8.27363	+	21.8158i	0.524320	+	1.38252i
$250$	−0.0370177	−	0.0194284i	−0.00234120	−	0.00122876i
$251$	3.17077	+	17.3023i	0.200137	+	1.09211i	0.918195	+	0.396129i	$0.129647\pi$
$251$	3.17077	+	17.3023i	0.200137	+	1.09211i	−0.718058	+	0.695983i	$0.754969\pi$
$252$	−12.6147	−	18.2755i	−0.794651	−	1.15125i
$253$	3.84396	+	2.70701i	0.241667	+	0.170188i
$254$	−0.115967	−	0.0285833i	−0.00727642	−	0.00179348i
$255$	18.6695	−	49.2276i	1.16913	−	3.08275i
$256$	12.7500	−	11.2955i	0.796876	−	0.705970i
$257$	1.76893	+	2.25787i	0.110343	+	0.140842i	0.839199	−	0.543825i	$-0.183025\pi$
$257$	1.76893	+	2.25787i	0.110343	+	0.140842i	−0.728856	+	0.684667i	$0.759948\pi$
$258$	−2.24559	+	1.17858i	−0.139804	+	0.0733749i
$259$	−7.25287	+	8.18680i	−0.450671	+	0.508703i
$260$	−14.8168	−	0.896249i	−0.918897	−	0.0555830i
$261$	51.3951	+	35.4754i	3.18127	+	2.19588i
$262$	6.00804	−	13.3493i	0.371178	−	0.824723i
$263$	−0.646312	+	2.07409i	−0.0398533	+	0.127894i	−0.972504	−	0.232888i	$-0.925182\pi$
$263$	−0.646312	+	2.07409i	−0.0398533	+	0.127894i	0.932650	+	0.360782i	$0.117490\pi$
$264$	−13.2009	−	30.0838i	−0.812458	−	1.85153i
$265$	−21.2661	−	8.77680i	−1.30636	−	0.539154i
$266$		−	16.1054i		−	0.987488i
$267$	−11.5371	+	37.0239i	−0.706061	+	2.26583i
$268$	9.98242	+	4.49272i	0.609773	+	0.274437i
$269$	−10.5998	−	7.31654i	−0.646283	−	0.446097i	0.199302	−	0.979938i	$-0.436133\pi$
$269$	−10.5998	−	7.31654i	−0.646283	−	0.446097i	−0.845585	+	0.533841i	$0.820748\pi$
$270$	3.17471	−	52.4842i	0.193207	−	3.19409i
$271$	9.04908	+	8.01678i	0.549692	+	0.486985i	0.891647	−	0.452732i	$-0.149550\pi$
$271$	9.04908	+	8.01678i	0.549692	+	0.486985i	−0.341955	+	0.939716i	$0.611089\pi$
$272$	−3.39155	+	1.78002i	−0.205643	+	0.107930i
$273$	30.1233	−	23.6001i	1.82314	−	1.42834i
$274$	0.626262	−	0.554819i	0.0378339	−	0.0335179i
$275$	16.5164	−	0.843272i	0.995977	−	0.0508512i
$276$	−1.19701	+	4.85645i	−0.0720514	+	0.292324i
$277$	5.97174	−	3.61004i	0.358807	−	0.216906i	−0.326439	−	0.945218i	$-0.605849\pi$
$277$	5.97174	−	3.61004i	0.358807	−	0.216906i	0.685246	+	0.728312i	$0.259695\pi$
$278$	−4.93604	−	7.15109i	−0.296044	−	0.428894i
$279$	12.3008	−	2.25421i	0.736430	−	0.134956i
$280$	−21.4411	−	11.2531i	−1.28135	−	0.672504i
$281$	15.1850	−	5.75892i	0.905863	−	0.343549i	0.142709	−	0.989765i	$-0.454419\pi$
$281$	15.1850	−	5.75892i	0.905863	−	0.343549i	0.763154	+	0.646216i	$0.223650\pi$
$282$	3.22271	+	26.5414i	0.191910	+	1.58052i
$283$	−6.27105	−	13.9337i	−0.372775	−	0.828273i	−0.998824	−	0.0484886i	$-0.984560\pi$
$283$	−6.27105	−	13.9337i	−0.372775	−	0.828273i	0.626048	−	0.779784i	$-0.284671\pi$
$284$	−6.48121	−	1.18773i	−0.384589	−	0.0704786i
$285$	−41.7921	+	53.3437i	−2.47555	+	3.15981i
$286$	12.7281	−	6.52830i	0.752626	−	0.386026i
$287$	−1.31926	−	0.797522i	−0.0778736	−	0.0470762i
$288$	29.8676	−	29.8676i	1.75996	−	1.75996i
$289$	−7.69588	+	1.89686i	−0.452699	+	0.111580i
$290$	23.3794	+	2.83878i	1.37289	+	0.166699i
$291$	−59.1864	+	18.4432i	−3.46957	+	1.08116i
$292$	1.80605	−	0.562789i	0.105691	−	0.0329348i
$293$	12.6782	+	1.53941i	0.740667	+	0.0899333i	0.482169	−	0.876078i	$-0.339849\pi$
$293$	12.6782	+	1.53941i	0.740667	+	0.0899333i	0.258499	+	0.966012i	$0.416772\pi$
$294$	−1.05790	+	0.260748i	−0.0616978	+	0.0152071i
$295$	7.21254	−	7.21254i	0.419931	−	0.419931i
$296$	−10.7631	−	6.50654i	−0.625595	−	0.378185i
$297$	−25.9400	−	50.5745i	−1.50519	−	2.93463i
$298$	−8.92578	+	11.3929i	−0.517056	+	0.659974i
$299$	−6.19408	−	1.13511i	−0.358213	−	0.0656450i
$300$	7.22094	+	16.0443i	0.416901	+	0.926316i
$301$	0.243565	+	2.00594i	0.0140388	+	0.115620i
$302$	0.445855	−	0.169090i	0.0256560	−	0.00973006i
$303$	−27.8889	−	14.6372i	−1.60218	−	0.840888i
$304$	4.84927	−	0.888662i	0.278125	−	0.0509683i
$305$	6.21012	+	8.99691i	0.355590	+	0.515162i
$306$	−33.7481	+	20.4015i	−1.92925	+	1.16627i
$307$	4.65184	−	18.8732i	0.265494	−	1.07715i	−0.675129	−	0.737700i	$-0.735912\pi$
$307$	4.65184	−	18.8732i	0.265494	−	1.07715i	0.940623	−	0.339453i	$-0.110242\pi$
$308$	−9.04107	+	0.461606i	−0.515163	+	0.0263025i
$309$	−35.3236	+	31.2939i	−2.00949	+	1.78025i
$310$	3.71248	−	2.90854i	0.210855	−	0.165194i
$311$	4.47438	−	2.34834i	0.253719	−	0.133162i	−0.333069	−	0.942902i	$-0.608084\pi$
$311$	4.47438	−	2.34834i	0.253719	−	0.133162i	0.586788	+	0.809740i	$0.300392\pi$
$312$	32.9370	+	29.1797i	1.86469	+	1.65197i
$313$	−0.118534	+	1.95959i	−0.00669991	+	0.110763i	−0.999988	−	0.00490414i	$-0.998439\pi$
$313$	−0.118534	+	1.95959i	−0.00669991	+	0.110763i	0.993288	+	0.115667i	$0.0369005\pi$
$314$	−10.2476	−	7.07338i	−0.578304	−	0.399174i
$315$	−60.5200	−	27.2379i	−3.40992	−	1.53468i
$316$	−0.665746	+	2.13646i	−0.0374512	+	0.120185i
$317$		−	11.8413i		−	0.665073i	−0.943090	−	0.332537i	$-0.892095\pi$
$317$		−	11.8413i		−	0.665073i	0.943090	−	0.332537i	$-0.107905\pi$
$318$	11.6133	+	20.5294i	0.651241	+	1.15123i
$319$	23.3130	−	10.2298i	1.30528	−	0.572760i
$320$	6.18156	−	19.8373i	0.345560	−	1.10894i
$321$	−19.6750	+	43.7160i	−1.09815	+	2.43999i
$322$	−2.92385	−	2.01819i	−0.162940	−	0.112469i
$323$	32.0244	+	1.93712i	1.78189	+	0.107784i
$324$	22.9854	−	25.9451i	1.27697	−	1.44140i
$325$	−19.6139	+	10.2942i	−1.08798	+	0.571017i
$326$	−3.53540	−	4.51260i	−0.195808	−	0.249930i
$327$	−15.4942	+	13.7267i	−0.856833	+	0.759088i
$328$	0.628598	−	1.65748i	0.0347085	−	0.0915189i
$329$	20.6837	+	5.09807i	1.14033	+	0.281066i
$330$	−27.7632	−	19.5515i	−1.52832	−	1.07628i
$331$	3.35500	+	4.86056i	0.184408	+	0.267161i	0.904274	−	0.426952i	$-0.140413\pi$
$331$	3.35500	+	4.86056i	0.184408	+	0.267161i	−0.719867	+	0.694112i	$0.755797\pi$
$332$	1.33264	+	7.27197i	0.0731381	+	0.399101i
$333$	−30.5222	−	16.0193i	−1.67261	−	0.877851i
$334$	0.971461	+	2.56153i	0.0531560	+	0.140161i
$335$	32.4776	−	3.94349i	1.77444	−	0.215456i
$336$	2.71230	+	6.02649i	0.147968	+	0.328772i
$337$	−0.224351	+	1.22425i	−0.0122212	+	0.0666889i	−0.989165	−	0.146807i	$-0.953100\pi$
$337$	−0.224351	+	1.22425i	−0.0122212	+	0.0666889i	0.976944	+	0.213496i	$0.0684850\pi$
$338$	−4.03230	+	5.14685i	−0.219328	+	0.279952i
$339$	−0.0582840	−	0.963550i	−0.00316555	−	0.0523329i
$340$	8.63052	−	14.2766i	0.468056	−	0.774259i
$341$	1.85257	−	4.74964i	0.100322	−	0.257207i
$342$	49.2831	−	12.1472i	2.66493	−	0.656846i
$343$	−2.28273	+	18.7999i	−0.123256	+	1.01510i
$344$	−2.21836	+	0.691268i	−0.119606	+	0.0372707i
$345$	4.44724	+	14.2717i	0.239431	+	0.768362i
$346$	−1.49857	+	12.3419i	−0.0805638	+	0.663502i
$347$	9.17334	−	2.26102i	0.492450	−	0.121378i	0.0147326	−	0.999891i	$-0.495310\pi$
$347$	9.17334	−	2.26102i	0.492450	−	0.121378i	0.477718	+	0.878513i	$0.341464\pi$
$348$	19.1519	+	19.1519i	1.02665	+	1.02665i
$349$	−8.82258	−	5.33343i	−0.472262	−	0.285492i	0.261124	−	0.965305i	$-0.415907\pi$
$349$	−8.82258	−	5.33343i	−0.472262	−	0.285492i	−0.733385	+	0.679813i	$0.762061\pi$
$350$	−12.4744	+	0.754559i	−0.666782	+	0.0403329i
$351$	59.9290	+	46.9514i	3.19877	+	2.50608i
$352$	−3.96351	−	16.7572i	−0.211256	−	0.893160i
$353$	9.36818	+	20.8152i	0.498618	+	1.10788i	0.973678	+	0.227930i	$0.0731958\pi$
$353$	9.36818	+	20.8152i	0.498618	+	1.10788i	−0.475060	+	0.879954i	$0.657573\pi$
$354$	−10.3812	+	1.26050i	−0.551754	+	0.0669950i
$355$	−18.4129	+	6.98308i	−0.977253	+	0.370623i
$356$	−5.71050	+	10.8805i	−0.302656	+	0.576663i
$357$	7.75230	+	42.3029i	0.410295	+	2.23891i
$358$	−7.29347	−	10.5664i	−0.385472	−	0.558452i
$359$	−5.45937	−	9.03090i	−0.288134	−	0.476632i	0.677862	−	0.735190i	$-0.262907\pi$
$359$	−5.45937	−	9.03090i	−0.288134	−	0.476632i	−0.965996	+	0.258557i	$0.916753\pi$
$360$	18.2635	−	74.0978i	0.962569	−	3.90530i
$361$	−20.8458	−	7.90576i	−1.09715	−	0.416093i
$362$	−1.87708	−	2.11878i	−0.0986569	−	0.111361i
$363$	−36.5919	−	2.90493i	−1.92058	−	0.152470i
$364$	10.7366	−	5.63501i	0.562751	−	0.295355i
$365$	3.74905	−	4.23180i	0.196234	−	0.221503i
$366$	0.676715	−	11.1874i	0.0353725	−	0.584777i
$367$	−6.37313	+	9.23307i	−0.332675	+	0.481962i	−0.953249	−	0.302185i	$-0.902284\pi$
$367$	−6.37313	+	9.23307i	−0.332675	+	0.481962i	0.620575	+	0.784147i	$0.286899\pi$
$368$	0.446336	−	0.991717i	0.0232669	−	0.0516968i
$369$	1.44542	−	4.63850i	0.0752453	−	0.241471i
$370$	−12.9996			−0.675818
$371$	18.5754	−	2.85147i	0.964386	−	0.148041i
$372$	5.42380			0.281211
$373$	−19.2026	−	5.98378i	−0.994274	−	0.309828i	−0.243149	−	0.969989i	$-0.578181\pi$
$373$	−19.2026	−	5.98378i	−0.994274	−	0.309828i	−0.751125	+	0.660161i	$0.770488\pi$
$374$	−0.151165	+	16.0758i	−0.00781654	+	0.831262i
$375$	−0.118256	−	0.0816260i	−0.00610669	−	0.00421515i
$376$	−1.47903	+	24.4513i	−0.0762751	+	1.26098i
$377$	−22.6123	+	25.5240i	−1.16459	+	1.31455i
$378$	19.9604	+	38.0314i	1.02665	+	1.95613i
$379$	13.4981	−	10.5751i	0.693351	−	0.543206i	−0.207016	−	0.978338i	$-0.566375\pi$
$379$	13.4981	−	10.5751i	0.693351	−	0.543206i	0.900367	+	0.435132i	$0.143298\pi$
$380$	−16.0723	+	14.2389i	−0.824494	+	0.730438i
$381$	−0.383839	−	0.145571i	−0.0196647	−	0.00745783i
$382$	14.5763	+	3.59274i	0.745789	+	0.183821i
$383$	0.133482	+	0.220806i	0.00682060	+	0.0112826i	0.859173	−	0.511685i	$-0.170979\pi$
$383$	0.133482	+	0.220806i	0.00682060	+	0.0112826i	−0.852352	+	0.522968i	$0.824825\pi$
$384$	10.9854	−	7.58270i	0.560598	−	0.386953i
$385$	−22.4099	+	15.1593i	−1.14211	+	0.772590i
$386$	8.87103	+	4.65588i	0.451524	+	0.236978i
$387$	−5.95452	+	2.25825i	−0.302685	+	0.114793i
$388$	−19.5003	+	2.36777i	−0.989978	+	0.120205i
$389$	−4.36171	+	1.96304i	−0.221147	+	0.0995303i	−0.517958	−	0.855406i	$-0.673308\pi$
$389$	−4.36171	+	1.96304i	−0.221147	+	0.0995303i	0.296811	+	0.954936i	$0.404077\pi$
$390$	44.7372	+	8.19839i	2.26535	+	0.415142i
$391$	4.36469	−	5.57111i	0.220732	−	0.281743i
$392$	−0.996435	+	0.0602732i	−0.0503276	+	0.00304426i
$393$	26.0300	−	43.0589i	1.31304	−	2.17203i
$394$	18.2547	+	18.2547i	0.919661	+	0.919661i
$395$	1.60052	+	6.49357i	0.0805310	+	0.326727i
$396$	−8.23157	−	27.3178i	−0.413652	−	1.37277i
$397$	22.2073	−	6.92009i	1.11455	−	0.347309i	0.315715	−	0.948854i	$-0.397755\pi$
$397$	22.2073	−	6.92009i	1.11455	−	0.347309i	0.798839	+	0.601545i	$0.205448\pi$
$398$	10.4750	−	3.26414i	0.525064	−	0.163616i
$399$	6.67238	−	54.9520i	0.334037	−	2.75104i
$400$	−0.915501	−	3.71433i	−0.0457750	−	0.185717i
$401$	19.0222	−	19.0222i	0.949925	−	0.949925i	−0.0488794	−	0.998805i	$-0.515565\pi$
$401$	19.0222	−	19.0222i	0.949925	−	0.949925i	0.998805	+	0.0488794i	$0.0155650\pi$
$402$	−28.7042	−	17.3523i	−1.43164	−	0.865455i
$403$	0.412297	+	6.81608i	0.0205380	+	0.339533i
$404$	−7.85624	−	6.15497i	−0.390863	−	0.306221i
$405$	18.6732	−	101.896i	0.927878	−	5.06327i
$406$	−17.5434	+	7.89563i	−0.870663	+	0.391854i
$407$	−12.0937	+	7.15651i	−0.599463	+	0.354735i
$408$	−46.2405	+	17.5367i	−2.28924	+	0.868196i
$409$	−9.00044	−	4.72380i	−0.445043	−	0.233577i	0.227287	−	0.973828i	$-0.427014\pi$
$409$	−9.00044	−	4.72380i	−0.445043	−	0.233577i	−0.672331	+	0.740251i	$0.734707\pi$
$410$	−0.330271	−	1.80223i	−0.0163109	−	0.0890058i
$411$	2.36667	−	1.63359i	0.116739	−	0.0805793i
$412$	−12.7968	+	7.73596i	−0.630455	+	0.381124i
$413$	−1.99402	+	8.09004i	−0.0981191	+	0.398085i
$414$	3.97047	−	10.4693i	0.195138	−	0.514536i
$415$	14.6518	+	16.5385i	0.719230	+	0.811843i
$416$	14.2241	+	18.1557i	0.697392	+	0.890155i
$417$	−13.8792	−	26.4446i	−0.679667	−	1.29500i
$418$	6.34154	−	19.6967i	0.310175	−	0.963398i
$419$	0.850351	−	14.0580i	0.0415423	−	0.686777i	−0.916479	−	0.400082i	$-0.868982\pi$
$419$	0.850351	−	14.0580i	0.0415423	−	0.686777i	0.958022	−	0.286695i	$-0.0925567\pi$
$420$	−23.6887	−	16.3511i	−1.15589	−	0.797853i
$421$	9.60631	−	21.3443i	0.468183	−	1.04026i	−0.514925	−	0.857235i	$-0.672180\pi$
$421$	9.60631	−	21.3443i	0.468183	−	1.04026i	0.983108	−	0.183025i	$-0.0585888\pi$
$422$	−15.9749	−	4.97797i	−0.777645	−	0.242324i
$423$			67.1378i			3.26435i
$424$	7.07542	+	20.4189i	0.343613	+	0.991631i
$425$		−	24.8950i		−	1.20759i
$426$	19.2753	+	6.00641i	0.933889	+	0.291012i
$427$	−8.14335	−	3.66502i	−0.394084	−	0.177363i
$428$	−8.62908	+	12.5014i	−0.417102	+	0.604277i
$429$	46.1329	−	17.0015i	2.22732	−	0.820839i
$430$	−1.59259	+	1.79766i	−0.0768015	+	0.0866909i
$431$	−16.0206	+	8.40825i	−0.771685	+	0.405011i	−0.804123	−	0.594462i	$-0.797365\pi$
$431$	−16.0206	+	8.40825i	−0.771685	+	0.405011i	0.0324387	+	0.999474i	$0.489673\pi$
$432$	−10.3497	+	8.10848i	−0.497951	+	0.390119i
$433$	7.09046	+	8.00348i	0.340746	+	0.384623i	0.893757	−	0.448551i	$-0.148060\pi$
$433$	7.09046	+	8.00348i	0.340746	+	0.384623i	−0.553011	+	0.833174i	$0.686521\pi$
$434$	−1.36611	+	3.60215i	−0.0655756	+	0.172909i
$435$	78.5948	+	19.3719i	3.76833	+	0.928811i
$436$	−5.61317	+	3.39328i	−0.268822	+	0.162509i
$437$	−7.49680	+	5.17467i	−0.358620	+	0.247538i
$438$	−5.70133	+	1.04481i	−0.272420	+	0.0499229i
$439$	1.00991	−	1.92423i	0.0482006	−	0.0918386i	−0.860164	−	0.510017i	$-0.829639\pi$
$439$	1.00991	−	1.92423i	0.0482006	−	0.0918386i	0.908365	+	0.418179i	$0.137331\pi$
$440$	−21.7912	−	22.2049i	−1.03885	−	1.05858i
$441$	−2.71604	+	0.329787i	−0.129335	+	0.0157042i
$442$	−8.83749	−	19.6361i	−0.420357	−	0.933994i
$443$	−33.7940	−	6.19298i	−1.60560	−	0.294237i	−0.698647	−	0.715466i	$-0.746214\pi$
$443$	−33.7940	−	6.19298i	−1.60560	−	0.294237i	−0.906954	+	0.421229i	$0.861599\pi$
$444$	−11.7685	−	9.22005i	−0.558510	−	0.437564i
$445$	2.21736	+	36.6573i	0.105113	+	1.73772i
$446$	5.91812	−	9.78977i	0.280231	−	0.463559i
$447$	−35.1749	+	35.1749i	−1.66371	+	1.66371i
$448$	4.06192	+	16.4799i	0.191908	+	0.778601i
$449$	37.0575	+	4.49960i	1.74885	+	0.212349i	0.931488	−	0.363771i	$-0.118511\pi$
$449$	37.0575	+	4.49960i	1.74885	+	0.212349i	0.817365	+	0.576120i	$0.195434\pi$
$450$	−11.7175	−	37.6028i	−0.552368	−	1.77261i
$451$	−1.29941	−	1.49482i	−0.0611870	−	0.0703883i
$452$	0.0368689	−	0.303643i	0.00173417	−	0.0142822i
$453$	1.59131	−	0.392224i	0.0747665	−	0.0184283i
$454$	−17.2834	+	17.2834i	−0.811151	+	0.811151i
$455$	18.7477	−	31.0125i	0.878905	−	1.45389i
$456$	63.5372	−	3.84329i	2.97540	−	0.179979i
$457$	4.73694	+	3.71116i	0.221585	+	0.173601i	0.721372	−	0.692547i	$-0.243512\pi$
$457$	4.73694	+	3.71116i	0.221585	+	0.173601i	−0.499788	+	0.866148i	$0.666589\pi$
$458$	6.62664	+	1.21438i	0.309642	+	0.0567441i
$459$	−78.0234	+	35.1155i	−3.64182	+	1.63905i
$460$	0.570942	+	4.70213i	0.0266203	+	0.219238i
$461$	−8.47094	−	22.3360i	−0.394531	−	1.04029i	−0.974249	−	0.225475i	$-0.927606\pi$
$461$	−8.47094	−	22.3360i	−0.394531	−	1.04029i	0.579718	−	0.814817i	$-0.303163\pi$
$462$	27.6707	+	1.93506i	1.28736	+	0.0900273i
$463$	3.92497	+	21.4179i	0.182409	+	0.995373i	0.939624	+	0.342208i	$0.111175\pi$
$463$	3.92497	+	21.4179i	0.182409	+	0.995373i	−0.757215	+	0.653165i	$0.773441\pi$
$464$	−3.34534	−	4.84656i	−0.155304	−	0.224996i
$465$	13.8720	−	8.38593i	0.643300	−	0.388888i
$466$	−20.1993	−	4.97867i	−0.935713	−	0.230633i
$467$	15.8876	+	6.02536i	0.735189	+	0.278820i	0.693646	−	0.720316i	$-0.256003\pi$
$467$	15.8876	+	6.02536i	0.735189	+	0.278820i	0.0415431	+	0.999137i	$0.486773\pi$
$468$	25.3412	+	28.6043i	1.17140	+	1.32223i
$469$	−21.0374	+	16.4817i	−0.971416	+	0.761055i
$470$	11.7664	+	22.4190i	0.542743	+	1.03411i
$471$	−32.0344	−	28.3800i	−1.47607	−	1.30768i
$472$	−9.56366	−	0.578495i	−0.440203	−	0.0266274i
$473$	−0.491964	+	2.54914i	−0.0226205	+	0.117209i
$474$	2.81406	−	6.25258i	0.129254	−	0.287190i
$475$	−9.53285	+	30.5920i	−0.437397	+	1.40366i
$476$			13.6275i			0.624616i
$477$	22.7357	+	54.6906i	1.04100	+	2.50411i
$478$	14.5212			0.664185
$479$	29.0944	+	9.06618i	1.32936	+	0.414244i	0.878240	−	0.478220i	$-0.158718\pi$
$479$	29.0944	+	9.06618i	1.32936	+	0.414244i	0.451117	+	0.892465i	$0.351026\pi$
$480$	22.4702	−	49.9267i	1.02562	−	2.27883i
$481$	10.6922	−	15.4903i	0.487523	−	0.706299i
$482$	−18.0768	−	1.09345i	−0.823376	−	0.0498051i
$483$	−9.14010	−	8.09742i	−0.415889	−	0.368445i
$484$	−11.2389	−	2.99540i	−0.510857	−	0.136154i
$485$	−46.2135	+	36.2059i	−2.09845	+	1.64403i
$486$	−42.1344	+	37.3278i	−1.91126	+	1.69322i
$487$	7.12777	−	18.7944i	0.322990	−	0.851654i	−0.670927	−	0.741523i	$-0.734104\pi$
$487$	7.12777	−	18.7944i	0.322990	−	0.851654i	0.993917	−	0.110131i	$-0.0351271\pi$
$488$	2.45746	−	9.97032i	0.111244	−	0.451335i
$489$	−10.1933	−	16.8617i	−0.460956	−	0.762515i
$490$	−0.849157	+	0.586131i	−0.0383610	+	0.0264787i
$491$	−1.26058	−	6.87878i	−0.0568894	−	0.310435i	0.942851	−	0.333214i	$-0.108133\pi$
$491$	−1.26058	−	6.87878i	−0.0568894	−	0.310435i	−0.999741	+	0.0227790i	$0.992749\pi$
$492$	0.979249	−	1.86580i	0.0441479	−	0.0841169i
$493$	−13.5898	−	35.8333i	−0.612053	−	1.61385i
$494$	3.34076	+	27.5137i	0.150308	+	1.23790i
$495$	−63.2902	−	57.1414i	−2.84468	−	2.56831i
$496$	−1.15997	−	0.212572i	−0.0520841	−	0.00954477i
$497$	9.92072	−	12.6629i	0.445005	−	0.568007i
$498$	−1.36774	−	22.6114i	−0.0612897	−	1.01324i
$499$	25.6618	+	15.5131i	1.14878	+	0.694462i	0.957886	−	0.287148i	$-0.0927073\pi$
$499$	25.6618	+	15.5131i	1.14878	+	0.694462i	0.190895	+	0.981611i	$0.438861\pi$
$500$	−0.0321951	−	0.0321951i	−0.00143981	−	0.00143981i
$501$	2.25341	+	9.14245i	0.100675	+	0.408455i
$502$	2.05856	−	16.9538i	0.0918782	−	0.756685i
$503$	−5.20532	−	16.7044i	−0.232094	−	0.744814i	−0.995140	−	0.0984707i	$-0.968605\pi$
$503$	−5.20532	−	16.7044i	−0.232094	−	0.744814i	0.763046	−	0.646344i	$-0.223703\pi$
$504$	18.5463	+	59.5172i	0.826118	+	2.65111i
$505$	−29.6097	−	3.59527i	−1.31761	−	0.159987i
$506$	−2.78117	−	3.61949i	−0.123638	−	0.160906i
$507$	−15.8905	+	15.8905i	−0.705724	+	0.705724i
$508$	−0.111318	−	0.0672943i	−0.00493895	−	0.00298570i
$509$	21.9393	−	1.32709i	0.972444	−	0.0588220i	0.433491	−	0.901158i	$-0.357282\pi$
$509$	21.9393	−	1.32709i	0.972444	−	0.0588220i	0.538953	+	0.842336i	$0.318820\pi$
$510$	−31.5242	+	40.2377i	−1.39592	+	1.78176i
$511$	−0.832470	+	4.54264i	−0.0368263	+	0.200955i
$512$	−7.78558	+	3.50401i	−0.344077	+	0.154857i
$513$	109.325	−	13.2744i	4.82680	−	0.586079i
$514$	−0.987497	−	2.60382i	−0.0435566	−	0.114849i
$515$	−20.7686	+	39.5713i	−0.915175	+	1.74372i
$516$	−2.71677	+	0.497866i	−0.119599	+	0.0219173i
$517$	23.2885	+	14.3791i	1.02423	+	0.632392i
$518$	9.08756	−	5.49362i	0.399284	−	0.241376i
$519$	−10.2263	+	41.4897i	−0.448885	+	1.82120i
$520$	38.9630	+	14.7767i	1.70864	+	0.648002i
$521$	0.563787	−	0.499471i	0.0246999	−	0.0218822i	−0.650682	−	0.759350i	$-0.725517\pi$
$521$	0.563787	−	0.499471i	0.0246999	−	0.0218822i	0.675382	+	0.737468i	$0.263979\pi$
$522$	−37.3926	−	47.7281i	−1.63663	−	2.08900i
$523$	18.8973	+	36.0057i	0.826320	+	1.57442i	0.818539	+	0.574451i	$0.194784\pi$
$523$	18.8973	+	36.0057i	0.826320	+	1.57442i	0.00778077	+	0.999970i	$0.497523\pi$
$524$	10.5723	−	11.9336i	0.461851	−	0.521322i
$525$	−42.8752	−	2.59347i	−1.87123	−	0.113189i
$526$	1.19817	−	1.73584i	0.0522425	−	0.0756863i
$527$	−6.99828	−	3.14967i	−0.304850	−	0.137202i
$528$	0.944169	+	8.43829i	0.0410897	+	0.367229i
$529$		−	20.9906i		−	0.912633i
$530$	17.1770	+	14.2780i	0.746119	+	0.620195i
$531$	−26.2597			−1.13957
$532$	5.21827	−	16.7460i	0.226241	−	0.726032i
$533$	2.41919	+	1.08879i	0.104787	+	0.0471606i
$534$	21.3881	−	30.9860i	0.925554	−	1.34090i
$535$	−2.74108	+	45.3155i	−0.118507	+	1.95916i
$536$	−23.0024	−	20.3784i	−0.993553	−	0.880211i
$537$	−20.5078	−	39.0744i	−0.884977	−	1.68618i
$538$	7.71194	+	9.84356i	0.332485	+	0.424386i
$539$	−0.467307	+	1.01276i	−0.0201284	+	0.0436227i
$540$	20.3062	−	53.5431i	0.873840	−	2.30413i
$541$	−43.1528	−	10.6362i	−1.85528	−	0.457286i	−0.856970	−	0.515366i	$-0.827656\pi$
$541$	−43.1528	−	10.6362i	−1.85528	−	0.457286i	−0.998312	+	0.0580803i	$0.981502\pi$
$542$	−6.07224	−	10.0447i	−0.260825	−	0.431457i
$543$	−5.52681	−	8.00697i	−0.237178	−	0.343612i
$544$	−25.4965	+	4.67240i	−1.09315	+	0.200328i
$545$	−9.10989	+	17.3574i	−0.390225	+	0.743511i
$546$	−34.7387	+	13.1747i	−1.48668	+	0.563824i
$547$	−0.496616	−	4.09000i	−0.0212338	−	0.174876i	0.978234	−	0.207506i	$-0.0665347\pi$
$547$	−0.496616	−	4.09000i	−0.0212338	−	0.174876i	−0.999467	+	0.0326303i	$0.989612\pi$
$548$	0.830936	−	0.373974i	0.0354958	−	0.0159754i
$549$	5.07313	−	27.6832i	0.216516	−	1.18149i
$550$	−15.5531	−	3.98898i	−0.663185	−	0.170091i
$551$	2.97830	+	49.2372i	0.126880	+	2.09757i
$552$	7.26419	−	12.0164i	0.309184	−	0.511454i
$553$	−3.86304	−	3.86304i	−0.164273	−	0.164273i
$554$	−6.57808	+	1.62135i	−0.279476	+	0.0688846i
$555$	−44.3549	−	5.38565i	−1.88276	−	0.228608i
$556$	−2.81537	−	9.03483i	−0.119398	−	0.383162i
$557$	20.5148	−	6.39267i	0.869240	−	0.270866i	0.169731	−	0.985490i	$-0.445710\pi$
$557$	20.5148	−	6.39267i	0.869240	−	0.270866i	0.699509	+	0.714624i	$0.253402\pi$
$558$	−12.0530	−	1.46350i	−0.510246	−	0.0619551i
$559$	−0.832186	−	3.37631i	−0.0351977	−	0.142803i
$560$	4.42537	+	4.42537i	0.187006	+	0.187006i
$561$	−7.17589	+	54.7883i	−0.302966	+	2.31317i
$562$	−15.7388	+	0.952023i	−0.663902	+	0.0401587i
$563$	30.5831	+	23.9603i	1.28893	+	1.00981i	0.998601	+	0.0528800i	$0.0168401\pi$
$563$	30.5831	+	23.9603i	1.28893	+	1.00981i	0.290324	+	0.956928i	$0.406237\pi$
$564$	−5.24870	+	28.6413i	−0.221010	+	1.20601i
$565$	−0.375176	−	0.833607i	−0.0157838	−	0.0350701i
$566$	1.78816	+	14.7268i	0.0751621	+	0.619016i
$567$	30.0075	+	79.1233i	1.26020	+	3.32286i
$568$	16.3788	+	8.59627i	0.687241	+	0.360692i
$569$	22.3901	−	4.10314i	0.938643	−	0.172013i	0.310908	−	0.950440i	$-0.399367\pi$
$569$	22.3901	−	4.10314i	0.938643	−	0.172013i	0.627735	+	0.778427i	$0.283982\pi$
$570$	54.1461	−	37.3744i	2.26793	−	1.56544i
$571$	12.4074	+	20.5243i	0.519233	+	0.858916i	0.999838	−	0.0180215i	$-0.00573674\pi$
$571$	12.4074	+	20.5243i	0.519233	+	0.858916i	−0.480605	+	0.876937i	$0.659583\pi$
$572$	15.3495	−	2.66398i	0.641795	−	0.111387i
$573$	48.2461	+	18.2973i	2.01551	+	0.764382i
$574$	0.992501	+	1.12030i	0.0414262	+	0.0467605i
$575$	4.35923	+	5.56415i	0.181793	+	0.232041i
$576$	−47.3653	+	24.8592i	−1.97355	+	1.03580i
$577$	−10.3576	−	9.17599i	−0.431191	−	0.382002i	0.419425	−	0.907790i	$-0.362232\pi$
$577$	−10.3576	−	9.17599i	−0.431191	−	0.382002i	−0.850615	+	0.525789i	$0.823770\pi$
$578$	7.68140	+	0.464639i	0.319504	+	0.0193264i
$579$	28.3392	+	19.5611i	1.17774	+	0.812932i
$580$	23.3895	+	10.5268i	0.971198	+	0.437101i
$581$	−17.2317	−	5.36962i	−0.714892	−	0.222769i
$582$	60.1886			2.49490
$583$	23.8402	+	3.82678i	0.987361	+	0.158489i
$584$	−5.31057			−0.219753
$585$	109.039	+	33.9780i	4.50821	+	1.40482i
$586$	−11.3071	−	5.08891i	−0.467091	−	0.210221i
$587$	2.34119	+	1.61601i	0.0966313	+	0.0666998i	0.615401	−	0.788214i	$-0.288994\pi$
$587$	2.34119	+	1.61601i	0.0966313	+	0.0666998i	−0.518769	+	0.854914i	$0.673610\pi$
$588$	−1.18446	−	0.0716464i	−0.0488462	−	0.00295465i
$589$	7.39368	+	6.55022i	0.304651	+	0.269897i
$590$	−8.76877	+	4.60221i	−0.361005	+	0.189470i
$591$	54.7226	+	69.8482i	2.25099	+	2.87317i
$592$	2.15553	+	2.43309i	0.0885919	+	0.0999996i
$593$	6.64637	+	2.52063i	0.272934	+	0.103510i	0.487275	−	0.873249i	$-0.337991\pi$
$593$	6.64637	+	2.52063i	0.272934	+	0.103510i	−0.214341	+	0.976759i	$0.568760\pi$
$594$	9.43639	+	54.3714i	0.387180	+	2.23088i
$595$	21.0700	+	34.8540i	0.863785	+	1.42887i
$596$	−12.9722	+	8.95404i	−0.531361	+	0.366772i
$597$	37.0931	−	6.79756i	1.51812	−	0.278206i
$598$	5.41359	+	2.84127i	0.221378	+	0.116188i
$599$	−0.517848	−	1.36545i	−0.0211587	−	0.0557909i	0.924021	−	0.382342i	$-0.124883\pi$
$599$	−0.517848	−	1.36545i	−0.0211587	−	0.0557909i	−0.945179	+	0.326552i	$0.894113\pi$
$600$	−5.95359	−	49.0322i	−0.243054	−	2.00173i
$601$	−0.826545	−	1.83651i	−0.0337155	−	0.0749127i	0.894273	−	0.447523i	$-0.147694\pi$
$601$	−0.826545	−	1.83651i	−0.0337155	−	0.0749127i	−0.927988	+	0.372610i	$0.878463\pi$
$602$	0.353632	−	1.92971i	0.0144129	−	0.0786489i
$603$	−66.3016	−	51.9440i	−2.70001	−	2.11532i
$604$	0.518374	−	0.0313559i	0.0210924	−	0.00127585i
$605$	−33.3760	+	9.71570i	−1.35693	+	0.394999i
$606$	21.6231	+	21.6231i	0.878379	+	0.878379i
$607$	5.10647	+	20.7178i	0.207265	+	0.840908i	0.978816	+	0.204741i	$0.0656351\pi$
$607$	5.10647	+	20.7178i	0.207265	+	0.840908i	−0.771551	+	0.636167i	$0.780519\pi$
$608$	33.1202	+	4.02152i	1.34320	+	0.163094i
$609$	−63.1293	+	19.6719i	−2.55813	+	0.797145i
$610$	−3.15763	−	10.1332i	−0.127849	−	0.410282i
$611$	−36.3924	−	4.41883i	−1.47228	−	0.178767i
$612$	−41.7006	+	10.2783i	−1.68565	+	0.415475i
$613$	20.9595	+	20.9595i	0.846545	+	0.846545i	0.989700	−	0.143155i	$-0.0457247\pi$
$613$	20.9595	+	20.9595i	0.846545	+	0.846545i	−0.143155	+	0.989700i	$0.545725\pi$
$614$	−9.76328	+	16.1504i	−0.394014	+	0.651779i
$615$	−0.380237	−	6.28606i	−0.0153326	−	0.253479i
$616$	24.6172	+	6.31370i	0.991854	+	0.254386i
$617$	−4.52822	+	24.7097i	−0.182299	+	0.994774i	0.757446	+	0.652898i	$0.226447\pi$
$617$	−4.52822	+	24.7097i	−0.182299	+	0.994774i	−0.939745	+	0.341876i	$0.888938\pi$
$618$	41.7813	−	18.8042i	1.68069	−	0.756417i
$619$	0.734418	+	6.04847i	0.0295187	+	0.243109i	0.999998	+	0.00192469i	$0.000612647\pi$
$619$	0.734418	+	6.04847i	0.0295187	+	0.243109i	−0.970479	+	0.241184i	$0.922464\pi$
$620$	4.80253	−	1.82136i	0.192874	−	0.0731475i
$621$	11.2897	−	21.5107i	0.453040	−	0.863195i
$622$	−4.82572	+	0.884345i	−0.193494	+	0.0354590i
$623$	−17.0414	−	24.6887i	−0.682748	−	0.989132i
$624$	−5.88363	−	9.73272i	−0.235534	−	0.389621i
$625$	−24.3395	−	5.99915i	−0.973581	−	0.239966i
$626$	0.675884	−	1.78216i	0.0270137	−	0.0712294i
$627$	29.7976	−	64.5782i	1.19000	−	2.57900i
$628$	−8.36333	−	10.6750i	−0.333733	−	0.425979i
$629$	9.83061	+	18.7307i	0.391972	+	0.746841i
$630$	48.2301	+	42.7282i	1.92153	+	1.70233i
$631$	2.07972	−	34.3818i	0.0827923	−	1.36872i	−0.685244	−	0.728313i	$-0.740305\pi$
$631$	2.07972	−	34.3818i	0.0827923	−	1.36872i	0.768037	−	0.640406i	$-0.221234\pi$
$632$	3.56864	−	5.17006i	0.141953	−	0.205654i
$633$	−52.4441	−	23.6032i	−2.08447	−	0.938143i
$634$	−3.42026	+	10.9760i	−0.135836	+	0.435913i
$635$	−0.388756			−0.0154273
$636$	5.42354	+	25.1087i	0.215057	+	0.995623i
$637$		−	1.49395i		−	0.0591924i
$638$	−24.5642	+	2.74851i	−0.972506	+	0.108815i
$639$	46.2313	+	20.8070i	1.82888	+	0.823112i
$640$	7.18076	−	10.4031i	0.283845	−	0.411220i
$641$	−38.1682	−	2.30875i	−1.50756	−	0.0911903i	−0.714197	−	0.699945i	$-0.753208\pi$
$641$	−38.1682	−	2.30875i	−1.50756	−	0.0911903i	−0.793358	+	0.608755i	$0.791669\pi$
$642$	30.8642	−	34.8385i	1.21811	−	1.37497i
$643$	17.1727	+	32.7198i	0.677223	+	1.29034i	0.945066	+	0.326879i	$0.105997\pi$
$643$	17.1727	+	32.7198i	0.677223	+	1.29034i	−0.267843	+	0.963463i	$0.586311\pi$
$644$	−2.38624	−	3.04581i	−0.0940310	−	0.120022i
$645$	−6.17869	+	5.47384i	−0.243286	+	0.215532i
$646$	−29.1247	−	11.0456i	−1.14590	−	0.434582i
$647$	−9.94868	+	40.3634i	−0.391123	+	1.58685i	0.364086	+	0.931365i	$0.381381\pi$
$647$	−9.94868	+	40.3634i	−0.391123	+	1.58685i	−0.755209	+	0.655484i	$0.772465\pi$
$648$	−83.2737	+	50.3407i	−3.27130	+	1.97757i
$649$	−5.62412	+	9.10885i	−0.220766	+	0.357554i
$650$	21.1540	−	3.87661i	0.829728	−	0.152053i
$651$	−6.15354	+	11.7246i	−0.241176	+	0.459523i
$652$	−2.21390	−	5.83758i	−0.0867031	−	0.228617i
$653$	−37.4424	+	4.54633i	−1.46523	+	0.177912i	−0.813955	−	0.580927i	$-0.802690\pi$
$653$	−37.4424	+	4.54633i	−1.46523	+	0.177912i	−0.651278	+	0.758839i	$0.725767\pi$
$654$	18.3268	−	8.24824i	0.716636	−	0.322532i
$655$	8.58884	−	46.8678i	0.335594	−	1.83128i
$656$	−0.282554	+	0.360653i	−0.0110319	+	0.0140811i
$657$	−14.5285	+	0.878813i	−0.566811	+	0.0342857i
$658$	−17.6997	−	10.6998i	−0.690006	−	0.417123i
$659$	17.2217	−	17.2217i	0.670862	−	0.670862i	−0.287053	−	0.957915i	$-0.592676\pi$
$659$	17.2217	−	17.2217i	0.670862	−	0.670862i	0.957915	+	0.287053i	$0.0926756\pi$
$660$	−22.5326	−	29.3246i	−0.877082	−	1.14146i
$661$	−15.5270	−	1.88532i	−0.603932	−	0.0733306i	−0.187141	−	0.982333i	$-0.559922\pi$
$661$	−15.5270	−	1.88532i	−0.603932	−	0.0733306i	−0.416791	+	0.909002i	$0.636845\pi$
$662$	−1.70591	−	5.47444i	−0.0663019	−	0.212770i
$663$	−22.0185	−	70.6599i	−0.855129	−	2.74420i
$664$	2.50168	−	20.6032i	0.0970839	−	0.799558i
$665$	−12.5452	−	50.8981i	−0.486484	−	1.97374i
$666$	23.6648	+	23.6648i	0.916991	+	0.916991i
$667$	9.31195	+	5.62927i	0.360560	+	0.217966i
$668$	0.180146	+	2.97817i	0.00697007	+	0.115229i
$669$	24.2485	−	30.9510i	0.937503	−	1.19663i
$670$	−31.2433	−	5.72555i	−1.20704	−	0.221197i
$671$	−8.51609	−	7.68873i	−0.328760	−	0.296820i
$672$	5.39087	+	44.3978i	0.207957	+	1.71268i
$673$	−10.5181	−	27.7340i	−0.405444	−	1.06907i	−0.969878	−	0.243590i	$-0.921675\pi$
$673$	−10.5181	−	27.7340i	−0.405444	−	1.06907i	0.564434	−	0.825478i	$-0.309094\pi$
$674$	0.561570	−	1.06998i	0.0216309	−	0.0412142i
$675$	−15.4036	−	84.0546i	−0.592884	−	3.23526i
$676$	−5.86029	+	4.04507i	−0.225396	+	0.155579i
$677$	−6.76623	−	11.1927i	−0.260047	−	0.430171i	0.698288	−	0.715817i	$-0.253946\pi$
$677$	−6.76623	−	11.1927i	−0.260047	−	0.430171i	−0.958335	+	0.285646i	$0.907792\pi$
$678$	−0.224288	+	0.909974i	−0.00861375	+	0.0349473i
$679$	17.0056	−	44.8400i	0.652614	−	1.72080i
$680$	−35.0548	+	31.0559i	−1.34429	+	1.19094i
$681$	−66.1316	+	51.8108i	−2.53417	+	1.98540i
$682$	−3.08909	+	3.86746i	−0.118287	+	0.148093i
$683$	7.47171	+	6.61936i	0.285897	+	0.253283i	0.793866	−	0.608093i	$-0.208065\pi$
$683$	7.47171	+	6.61936i	0.285897	+	0.253283i	−0.507969	+	0.861375i	$0.669604\pi$
$684$	55.1791	+	3.33772i	2.10983	+	0.127621i
$685$	1.54700	−	2.24122i	0.0591079	−	0.0856326i
$686$	7.54613	−	16.7668i	0.288112	−	0.640160i
$687$	22.1071	+	6.88884i	0.843437	+	0.262826i
$688$	0.600538			0.0228953
$689$	−31.1417	+	8.72441i	−1.18640	+	0.332373i
$690$		−	14.5133i		−	0.552514i
$691$	−6.54476	+	21.0029i	−0.248974	+	0.798987i	0.742633	+	0.669699i	$0.233577\pi$
$691$	−6.54476	+	21.0029i	−0.248974	+	0.798987i	−0.991607	+	0.129288i	$0.958731\pi$
$692$	−5.55702	+	12.3472i	−0.211246	+	0.469370i
$693$	68.3917	+	13.1991i	2.59799	+	0.501392i
$694$	−9.15608	−	0.553841i	−0.347560	−	0.0210235i
$695$	−21.1697	−	18.7547i	−0.803012	−	0.711407i
$696$	−35.3353	−	67.3258i	−1.33938	−	2.55198i
$697$	−2.34701	+	1.83876i	−0.0888993	+	0.0696482i
$698$	6.63735	+	7.49202i	0.251228	+	0.283577i
$699$	−66.8575	−	25.3557i	−2.52878	−	0.959042i
$700$	−13.2150	−	3.25720i	−0.499480	−	0.123111i
$701$	6.83810	−	4.13377i	0.258271	−	0.156131i	−0.382278	−	0.924047i	$-0.624860\pi$
$701$	6.83810	−	4.13377i	0.258271	−	0.156131i	0.640550	+	0.767917i	$0.278707\pi$
$702$	−41.9882	−	60.8304i	−1.58474	−	2.29590i
$703$	−4.90786	−	26.7813i	−0.185103	−	1.01008i
$704$	−1.52130	+	21.7540i	−0.0573362	+	0.819886i
$705$	30.8590	+	81.3686i	1.16222	+	3.06452i
$706$	−2.67130	−	22.0001i	−0.100536	−	0.827985i
$707$	22.2184	−	9.99969i	0.835609	−	0.376077i
$708$	−11.2025	−	2.05293i	−0.421016	−	0.0771540i
$709$	−12.8218	−	10.0452i	−0.481533	−	0.377257i	0.346397	−	0.938088i	$-0.387405\pi$
$709$	−12.8218	−	10.0452i	−0.481533	−	0.377257i	−0.827930	+	0.560831i	$0.810482\pi$
$710$	19.0844	−	1.15439i	0.716223	−	0.0433235i
$711$	8.90740	−	14.7346i	0.334054	−	0.552592i
$712$	24.3923	−	24.3923i	0.914138	−	0.914138i
$713$	2.11567	−	0.521465i	0.0792323	−	0.0195290i
$714$	5.03304	−	41.4508i	0.188357	−	1.55126i
$715$	35.1393	−	30.5459i	1.31414	−	1.14235i
$716$	−4.15997	−	13.3498i	−0.155465	−	0.498906i
$717$	49.5466	+	6.01604i	1.85035	+	0.224673i
$718$	2.45193	+	9.94786i	0.0915051	+	0.371251i
$719$	21.3394	−	21.3394i	0.795823	−	0.795823i	−0.186611	−	0.982434i	$-0.559750\pi$
$719$	21.3394	−	21.3394i	0.795823	−	0.795823i	0.982434	+	0.186611i	$0.0597502\pi$
$720$	−10.2040	+	16.8795i	−0.380281	+	0.629062i
$721$	−2.20419	−	36.4396i	−0.0820884	−	1.35708i
$722$	17.0390	+	13.3492i	0.634125	+	0.496805i
$723$	−61.2253	−	11.2199i	−2.27699	−	0.417274i
$724$	−1.26524	−	2.81124i	−0.0470221	−	0.104479i
$725$	37.9967	−	4.61364i	1.41116	−	0.171346i
$726$	33.0789	+	13.2619i	1.22767	+	0.492197i
$727$	11.9791	−	22.8242i	0.444280	−	0.846504i	−0.555607	−	0.831445i	$-0.687514\pi$
$727$	11.9791	−	22.8242i	0.444280	−	0.846504i	0.999887	−	0.0150592i	$-0.00479367\pi$
$728$	−33.4822	+	6.13585i	−1.24093	+	0.227410i
$729$	−78.2921	+	54.0411i	−2.89971	+	2.00152i
$730$	−4.69741	+	2.83969i	−0.173859	+	0.105101i
$731$	3.79454	+	0.935269i	0.140346	+	0.0345922i
$732$	4.32843	−	11.4131i	0.159984	−	0.421842i
$733$	−23.5537	−	26.5867i	−0.869977	−	0.982001i	0.129978	−	0.991517i	$-0.458509\pi$
$733$	−23.5537	−	26.5867i	−0.869977	−	0.982001i	−0.999955	+	0.00951634i	$0.996971\pi$
$734$	8.57431	−	6.71755i	0.316484	−	0.247949i
$735$	−3.14016	+	1.64809i	−0.115827	+	0.0607905i
$736$	4.88042	−	5.50885i	0.179894	−	0.203059i
$737$	−32.2181	+	11.8734i	−1.18677	+	0.437363i
$738$	−2.67958	+	3.88205i	−0.0986369	+	0.142900i
$739$	24.3905	+	10.9773i	0.897219	+	0.403806i	0.805925	−	0.592018i	$-0.201669\pi$
$739$	24.3905	+	10.9773i	0.897219	+	0.403806i	0.0912948	+	0.995824i	$0.470899\pi$
$740$	−13.5167	−	4.21196i	−0.496882	−	0.154835i
$741$			95.2610i			3.49950i
$742$	−18.0416	−	2.72225i	−0.662329	−	0.0999368i
$743$		−	20.0004i		−	0.733743i	−0.930272	−	0.366872i	$-0.880429\pi$
$743$		−	20.0004i		−	0.733743i	0.930272	−	0.366872i	$-0.119571\pi$
$744$	−14.5367	−	4.52983i	−0.532943	−	0.166072i
$745$	−19.3337	+	42.9577i	−0.708332	+	1.57385i
$746$	16.0710	+	11.0930i	0.588402	+	0.406145i
$747$	3.43453	−	56.7795i	0.125663	−	2.07745i
$748$	−5.36586	+	16.6663i	−0.196195	+	0.609379i
$749$	−17.2341	−	32.8368i	−0.629719	−	1.19983i
$750$	0.0860372	+	0.109818i	0.00314163	+	0.00401000i
$751$	14.9017	+	16.8205i	0.543769	+	0.613789i	0.954588	−	0.297928i	$-0.0962956\pi$
$751$	14.9017	+	16.8205i	0.543769	+	0.613789i	−0.410819	+	0.911717i	$0.634757\pi$
$752$	2.24504	−	5.91969i	0.0818682	−	0.215869i
$753$	14.0477	−	56.9937i	0.511926	−	2.07697i
$754$	28.3323	−	17.1275i	1.03180	−	0.623747i
$755$	1.27732	−	0.881673i	0.0464866	−	0.0320874i
$756$	8.43190	+	46.0114i	0.306665	+	1.67342i
$757$	39.8946	+	20.9383i	1.44999	+	0.761016i	0.991796	−	0.127833i	$-0.0408023\pi$
$757$	39.8946	+	20.9383i	1.44999	+	0.761016i	0.458199	+	0.888850i	$0.348495\pi$
$758$	−15.5663	+	5.90350i	−0.565392	+	0.214425i
$759$	−7.98984	−	13.5020i	−0.290013	−	0.490090i
$760$	54.9687	−	24.7394i	1.99392	−	0.897392i
$761$	−0.294977	+	1.60964i	−0.0106929	+	0.0583494i	−0.988534	−	0.151001i	$-0.951750\pi$
$761$	−0.294977	+	1.60964i	−0.0106929	+	0.0583494i	0.977841	+	0.209350i	$0.0671349\pi$
$762$	0.313743	+	0.245802i	0.0113657	+	0.00890447i
$763$	−0.966841	−	15.9838i	−0.0350020	−	0.578652i
$764$	13.9920	+	8.45846i	0.506213	+	0.306016i
$765$	−90.7627	+	90.7627i	−3.28153	+	3.28153i
$766$	−0.0599497	−	0.243226i	−0.00216607	−	0.00878810i
$767$	1.72834	−	14.2342i	0.0624069	−	0.513967i
$768$	−54.2683	+	16.9107i	−1.95824	+	0.610212i
$769$	11.2666	−	3.51082i	0.406285	−	0.126604i	−0.0875479	−	0.996160i	$-0.527903\pi$
$769$	11.2666	−	3.51082i	0.406285	−	0.126604i	0.493833	+	0.869557i	$0.335595\pi$
$770$	25.1509	−	7.57865i	0.906377	−	0.273115i
$771$	−2.29061	−	9.29336i	−0.0824942	−	0.334692i
$772$	7.71533	+	7.71533i	0.277681	+	0.277681i
$773$	24.2649	−	40.1390i	0.872747	−	1.44370i	−0.0232944	−	0.999729i	$-0.507415\pi$
$773$	24.2649	−	40.1390i	0.872747	−	1.44370i	0.896041	−	0.443971i	$-0.146431\pi$
$774$	6.17168	−	0.373318i	0.221836	−	0.0134186i
$775$	4.72703	−	6.03360i	0.169800	−	0.216733i
$776$	54.2417	+	9.94017i	1.94717	+	0.356831i
$777$	33.2828	−	14.9794i	1.19401	−	0.537382i
$778$	4.60999	−	0.559754i	0.165276	−	0.0200681i
$779$	3.58820	−	1.36082i	0.128561	−	0.0487566i
$780$	43.8602	+	23.0196i	1.57045	+	0.824234i
$781$	17.1189	−	11.5802i	0.612563	−	0.414372i
$782$	−5.65491	+	3.90330i	−0.202219	+	0.139582i
$783$	−68.0555	−	112.578i	−2.43211	−	4.02320i
$784$	0.250507	+	0.0617445i	0.00894669	+	0.00220516i
$785$	−37.8952	−	14.3717i	−1.35254	−	0.512950i
$786$	−36.5651	+	32.3938i	−1.30423	+	1.15545i
$787$	28.9618	−	22.6901i	1.03238	−	0.808815i	0.0505738	−	0.998720i	$-0.483895\pi$
$787$	28.9618	−	22.6901i	1.03238	−	0.808815i	0.981802	+	0.189905i	$0.0608181\pi$
$788$	13.0661	+	24.8955i	0.465462	+	0.886864i
$789$	4.80730	−	5.42633i	0.171145	−	0.193182i
$790$	0.392050	−	6.48136i	0.0139485	−	0.230596i
$791$	0.614553	+	0.424195i	0.0218510	+	0.0150826i
$792$	−0.753116	+	80.0913i	−0.0267608	+	2.84592i
$793$	14.6719	+	4.57195i	0.521014	+	0.162355i
$794$	−22.5834			−0.801454
$795$	52.6927	+	55.8329i	1.86882	+	1.98019i
$796$	11.9492			0.423529
$797$	10.6915	−	34.3101i	0.378711	−	1.21533i	−0.547012	−	0.837125i	$-0.684235\pi$
$797$	10.6915	−	34.3101i	0.378711	−	1.21533i	0.925723	−	0.378202i	$-0.123458\pi$
$798$	−22.0572	+	49.0091i	−0.780817	+	1.73490i
$799$	23.4047	−	33.9075i	0.827998	−	1.19956i
$800$	1.56312	−	25.8414i	0.0552646	−	0.913633i
$801$	62.6951	−	70.7681i	2.21522	−	2.50047i
$802$	−23.1266	+	12.1378i	−0.816629	+	0.428600i
$803$	−2.80677	+	5.22780i	−0.0990488	+	0.184485i
$804$	−24.2236	−	27.3428i	−0.854302	−	0.964308i
$805$	−10.8123	−	4.10057i	−0.381084	−	0.144526i
$806$	1.58660	−	6.43708i	0.0558856	−	0.226737i
$807$	22.2351	+	36.7813i	0.782713	+	1.29476i
$808$	15.9156	+	23.0578i	0.559909	+	0.811169i
$809$	3.55649	+	19.4071i	0.125039	+	0.682318i	0.985081	+	0.172093i	$0.0550531\pi$
$809$	3.55649	+	19.4071i	0.125039	+	0.682318i	−0.860041	+	0.510224i	$0.829562\pi$
$810$	−46.7406	+	89.0567i	−1.64230	+	3.12913i
$811$	−8.31307	+	3.15273i	−0.291911	+	0.110707i	−0.496214	−	0.868201i	$-0.665277\pi$
$811$	−8.31307	+	3.15273i	−0.291911	+	0.110707i	0.204302	+	0.978908i	$0.434507\pi$
$812$	−20.7994	+	2.52550i	−0.729915	+	0.0886277i
$813$	−16.5571	−	36.7884i	−0.580683	−	1.29022i
$814$	13.2771	−	3.14038i	0.465361	−	0.110070i
$815$	−14.6880	−	11.5073i	−0.514498	−	0.403084i
$816$	12.7584	−	0.771739i	0.446632	−	0.0270163i
$817$	−4.30474	−	2.60230i	−0.150604	−	0.0910431i
$818$	6.97831	+	6.97831i	0.243991	+	0.243991i
$819$	−90.5843	+	22.3270i	−3.16527	+	0.780169i
$820$	0.240528	−	1.98092i	0.00839959	−	0.0691768i
$821$	−16.4946	−	52.9330i	−0.575666	−	1.84738i	−0.529271	−	0.848453i	$-0.677535\pi$
$821$	−16.4946	−	52.9330i	−0.575666	−	1.84738i	−0.0463944	−	0.998923i	$-0.514773\pi$
$822$	−2.66558	+	0.830628i	−0.0929727	+	0.0289715i
$823$	−0.801328	+	6.59953i	−0.0279325	+	0.230045i	−0.999989	−	0.00470230i	$-0.998503\pi$
$823$	−0.801328	+	6.59953i	−0.0279325	+	0.230045i	0.972056	+	0.234747i	$0.0754263\pi$
$824$	40.7587	−	10.0461i	1.41990	−	0.349973i
$825$	−51.4146	−	20.0540i	−1.79003	−	0.698190i
$826$	4.18504	−	6.92291i	0.145616	−	0.240879i
$827$	2.48855	+	41.1407i	0.0865354	+	1.43060i	0.739471	+	0.673188i	$0.235076\pi$
$827$	2.48855	+	41.1407i	0.0865354	+	1.43060i	−0.652936	+	0.757413i	$0.726463\pi$
$828$	7.52050	−	9.59920i	0.261355	−	0.333595i
$829$	1.13946	−	6.21783i	0.0395751	−	0.215954i	−0.957888	−	0.287143i	$-0.907295\pi$
$829$	1.13946	−	6.21783i	0.0395751	−	0.215954i	0.997463	+	0.0711885i	$0.0226792\pi$
$830$	−8.80415	−	19.5620i	−0.305596	−	0.679008i
$831$	−23.1162	+	2.80682i	−0.801893	+	0.0973674i
$832$	−10.3576	−	27.3108i	−0.359085	−	0.946830i
$833$	1.48669	+	0.780273i	0.0515106	+	0.0270349i
$834$	5.22668	+	28.5210i	0.180985	+	0.987603i
$835$	5.06540	+	7.33850i	0.175296	+	0.253959i
$836$	12.9756	−	18.4254i	0.448772	−	0.637257i
$837$	−25.5775	−	6.30430i	−0.884089	−	0.217908i
$838$	−4.84874	+	12.7851i	−0.167497	+	0.441653i
$839$	17.2990	−	15.3256i	0.597229	−	0.529099i	−0.309452	−	0.950915i	$-0.600146\pi$
$839$	17.2990	−	15.3256i	0.597229	−	0.529099i	0.906681	+	0.421816i	$0.138607\pi$
$840$	49.8338	+	63.6081i	1.71943	+	2.19469i
$841$	26.4948	−	13.9056i	0.913615	−	0.479502i
$842$	−15.0695	+	17.0099i	−0.519328	+	0.586200i
$843$	−54.0954	−	3.27217i	−1.86315	−	0.112700i
$844$	−14.9974	−	10.3519i	−0.516231	−	0.356328i
$845$	−8.73417	+	19.4065i	−0.300465	+	0.667605i
$846$	19.3922	−	62.2317i	0.666717	−	2.13957i
$847$	19.2261	−	20.8965i	0.660616	−	0.718013i
$848$	−0.175842	−	5.58246i	−0.00603842	−	0.191702i
$849$			50.9890i			1.74994i
$850$	−7.19073	+	23.0759i	−0.246640	+	0.791495i
$851$	−5.47701	−	2.46500i	−0.187749	−	0.0844992i
$852$	18.0958	+	12.4906i	0.619951	+	0.427922i
$853$	2.70113	−	44.6550i	0.0924850	−	1.52896i	−0.595572	−	0.803302i	$-0.703075\pi$
$853$	2.70113	−	44.6550i	0.0924850	−	1.52896i	0.688057	−	0.725657i	$-0.258464\pi$
$854$	6.48967	+	5.74934i	0.222072	+	0.196738i
$855$	146.288	−	76.7777i	5.00293	−	2.62574i
$856$	33.5683	−	26.2991i	1.14734	−	0.898884i
$857$	−32.3066	+	28.6211i	−1.10357	+	0.977679i	−0.999857	−	0.0169279i	$-0.994611\pi$
$857$	−32.3066	+	28.6211i	−1.10357	+	0.977679i	−0.103715	+	0.994607i	$0.533073\pi$
$858$	−47.6725	+	2.43400i	−1.62751	+	0.0830953i
$859$	−3.98844	+	16.1817i	−0.136084	+	0.552114i	0.862829	+	0.505496i	$0.168690\pi$
$859$	−3.98844	+	16.1817i	−0.136084	+	0.552114i	−0.998913	+	0.0466180i	$0.985156\pi$
$860$	−2.23839	+	1.35315i	−0.0763283	+	0.0461421i
$861$	2.92229	+	4.23367i	0.0995914	+	0.144283i
$862$	17.2785	−	3.16641i	0.588510	−	0.107848i
$863$	−42.1569	−	22.1256i	−1.43504	−	0.753165i	−0.445207	−	0.895428i	$-0.646870\pi$
$863$	−42.1569	−	22.1256i	−1.43504	−	0.753165i	−0.989829	+	0.142263i	$0.954562\pi$
$864$	−83.1943	+	31.5514i	−2.83033	+	1.07340i
$865$	4.87768	+	40.1713i	0.165846	+	1.36587i
$866$	−4.26059	−	9.46665i	−0.144781	−	0.321690i
$867$	26.0165	+	4.76771i	0.883568	+	0.161920i
$868$	−2.58757	+	3.30279i	−0.0878278	+	0.112104i
$869$	−3.20337	−	6.24552i	−0.108667	−	0.211865i
$870$	−67.2561	−	40.6578i	−2.28020	−	1.37843i
$871$	32.5203	−	32.5203i	1.10191	−	1.10191i
$872$	17.8783	−	4.40660i	0.605435	−	0.149226i
$873$	150.038	+	18.2179i	5.07801	+	0.616582i
$874$	8.44363	−	2.63114i	0.285610	−	0.0889997i
$875$	0.106123	−	0.0330691i	0.00358760	−	0.00111794i
$876$	−6.26662	−	0.760906i	−0.211730	−	0.0257086i
$877$	−44.9337	+	11.0752i	−1.51730	+	0.373982i	−0.908005	−	0.418959i	$-0.862395\pi$
$877$	−44.9337	+	11.0752i	−1.51730	+	0.373982i	−0.609299	+	0.792941i	$0.708549\pi$
$878$	−1.49191	+	1.49191i	−0.0503497	+	0.0503497i
$879$	−36.4716	−	22.0479i	−1.23016	−	0.743656i
$880$	3.66967	+	7.15466i	0.123704	+	0.241183i
$881$	9.61245	−	12.2694i	0.323852	−	0.413366i	−0.597640	−	0.801765i	$-0.703895\pi$
$881$	9.61245	−	12.2694i	0.323852	−	0.413366i	0.921491	+	0.388399i	$0.126972\pi$
$882$	2.61283	+	0.478818i	0.0879784	+	0.0161226i
$883$	3.18405	+	7.07467i	0.107152	+	0.238082i	0.957672	−	0.287860i	$-0.0929438\pi$
$883$	3.18405	+	7.07467i	0.107152	+	0.238082i	−0.850521	+	0.525942i	$0.823713\pi$
$884$	−2.82677	−	23.2805i	−0.0950744	−	0.783008i
$885$	−31.8258	+	12.0699i	−1.06981	+	0.405727i
$886$	29.5357	+	15.5015i	0.992272	+	0.520785i
$887$	6.32257	−	1.15865i	0.212291	−	0.0389038i	−0.0730569	−	0.997328i	$-0.523275\pi$
$887$	6.32257	−	1.15865i	0.212291	−	0.0389038i	0.285348	+	0.958424i	$0.407891\pi$
$888$	23.8414	+	34.5402i	0.800063	+	1.15909i
$889$	0.271765	−	0.164288i	0.00911470	−	0.00551003i
$890$	8.53282	−	34.6190i	0.286021	−	1.16043i
$891$	5.54383	+	108.582i	0.185725	+	3.63764i
$892$	9.32546	−	8.26164i	0.312240	−	0.276620i
$893$	−41.7445	+	32.7047i	−1.39693	+	1.09442i
$894$	42.7644	−	22.4445i	1.43026	−	0.750657i
$895$	−31.2802	−	27.7119i	−1.04558	−	0.926305i
$896$	−0.623461	+	10.3070i	−0.0208284	+	0.344334i
$897$	17.2941	+	11.9373i	0.577433	+	0.398573i
$898$	−33.0499	−	14.8746i	−1.10289	−	0.496370i
$899$	3.51032	−	11.2650i	0.117076	−	0.375710i
$900$		−	42.8949i		−	1.42983i
$901$	7.58298	−	35.5470i	0.252626	−	1.18424i
$902$	0.772694	+	1.76091i	0.0257279	+	0.0586319i
$903$	2.00606	−	6.43767i	0.0667575	−	0.214232i
$904$	−0.352411	+	0.783024i	−0.0117210	+	0.0260430i
$905$	−7.58254	−	5.23385i	−0.252052	−	0.173979i
$906$	−1.58832	−	0.0960757i	−0.0527684	−	0.00319190i
$907$	−7.54355	+	8.51491i	−0.250480	+	0.282733i	−0.860280	−	0.509822i	$-0.829711\pi$
$907$	−7.54355	+	8.51491i	−0.250480	+	0.282733i	0.609800	+	0.792555i	$0.291250\pi$
$908$	−23.5708	+	12.3709i	−0.782224	+	0.410543i
$909$	47.3571	+	60.4469i	1.57074	+	2.00490i
$910$	−26.3354	+	23.3311i	−0.873010	+	0.773419i
$911$	−20.1056	+	53.0140i	−0.666127	+	1.75643i	−0.0121421	+	0.999926i	$0.503865\pi$
$911$	−20.1056	+	53.0140i	−0.666127	+	1.75643i	−0.653985	+	0.756507i	$0.726904\pi$
$912$	−15.9735	−	3.93711i	−0.528935	−	0.130371i
$913$	−18.9598	−	13.3520i	−0.627479	−	0.441886i
$914$	−3.31885	−	4.80819i	−0.109778	−	0.159041i
$915$	−6.57577	−	35.8828i	−0.217388	−	1.18625i
$916$	6.49674	+	3.40975i	0.214658	+	0.112661i
$917$	13.8021	+	36.3932i	0.455786	+	1.20181i
$918$	82.4647	−	10.0130i	2.72174	−	0.330479i
$919$	−20.1069	−	44.6758i	−0.663267	−	1.47372i	−0.868849	−	0.495078i	$-0.835140\pi$
$919$	−20.1069	−	44.6758i	−0.663267	−	1.47372i	0.205582	−	0.978640i	$-0.434091\pi$
$920$	2.39688	−	13.0794i	0.0790230	−	0.431214i
$921$	−40.0035	+	51.0607i	−1.31816	+	1.68251i
$922$	1.40035	+	23.1506i	0.0461182	+	0.762424i
$923$	−14.3214	+	23.6904i	−0.471393	+	0.779779i
$924$	28.1443	+	10.9775i	0.925880	+	0.361134i
$925$	−20.5133	+	5.05608i	−0.674474	+	0.166243i
$926$	2.54822	−	20.9865i	0.0837397	−	0.689658i
$927$	109.844	−	34.2288i	3.60775	−	1.12422i
$928$	−11.8565	−	38.0488i	−0.389208	−	1.24901i
$929$	0.299806	−	2.46913i	0.00983632	−	0.0810094i	−0.986964	−	0.160941i	$-0.948547\pi$
$929$	0.299806	−	2.46913i	0.00983632	−	0.0810094i	0.996800	+	0.0799316i	$0.0254702\pi$
$930$	−15.2805	+	3.76631i	−0.501069	+	0.123502i
$931$	−1.52811	−	1.52811i	−0.0500819	−	0.0500819i
$932$	−19.3896	−	11.7214i	−0.635126	−	0.383947i
$933$	−16.8318	+	1.01813i	−0.551048	+	0.0333322i
$934$	−12.9862	−	10.1740i	−0.424922	−	0.332905i
$935$	12.0445	+	50.9223i	0.393896	+	1.66534i
$936$	−44.0292	−	97.8288i	−1.43914	−	3.19764i
$937$	−34.2467	+	4.15831i	−1.11879	+	0.135846i	−0.658973	−	0.752166i	$-0.729009\pi$
$937$	−34.2467	+	4.15831i	−1.11879	+	0.135846i	−0.459819	+	0.888012i	$0.652086\pi$
$938$	24.2607	−	9.20086i	0.792139	−	0.300419i
$939$	3.04446	−	5.80073i	0.0993522	−	0.189300i
$940$	4.97049	+	27.1231i	0.162119	+	0.884657i
$941$	−1.32470	−	1.91915i	−0.0431838	−	0.0625626i	0.800797	−	0.598936i	$-0.204409\pi$
$941$	−1.32470	−	1.91915i	−0.0431838	−	0.0625626i	−0.843981	+	0.536373i	$0.819794\pi$
$942$	21.4961	+	35.5590i	0.700382	+	1.15857i
$943$	0.202591	−	0.821944i	0.00659727	−	0.0267662i
$944$	2.31538	+	0.878106i	0.0753590	+	0.0285799i
$945$	92.7054	+	104.643i	3.01571	+	3.40403i
$946$	1.19231	−	2.22076i	0.0387654	−	0.0722031i
$947$	−40.8255	+	21.4269i	−1.32665	+	0.696280i	−0.971167	−	0.238402i	$-0.923377\pi$
$947$	−40.8255	+	21.4269i	−1.32665	+	0.696280i	−0.355485	+	0.934682i	$0.615684\pi$
$948$	4.95186	−	5.58949i	0.160829	−	0.181538i
$949$	0.479863	−	7.93309i	0.0155770	−	0.257519i
$950$	17.6725	−	25.6030i	0.573371	−	0.830671i
$951$	−16.2172	+	36.0332i	−0.525880	+	1.16846i
$952$	11.3814	−	36.5241i	0.368873	−	1.18375i
$953$	30.8144			0.998176			0.499088	−	0.866551i	$-0.333668\pi$
$953$	30.8144			0.998176			0.499088	+	0.866551i	$0.333668\pi$
$954$	−5.27738	−	57.2611i	−0.170862	−	1.85390i
$955$	48.8641			1.58121
$956$	15.0988	+	4.70497i	0.488329	+	0.152170i
$957$	−84.9521	−	0.798823i	−2.74611	−	0.0258223i
$958$	−24.3496	−	16.8073i	−0.786701	−	0.543021i
$959$	−0.134317	+	2.22052i	−0.00433731	+	0.0717042i
$960$	−45.9788	+	51.8994i	−1.48396	+	1.67504i
$961$	13.3084	+	25.3570i	0.429302	+	0.817966i
$962$	−14.3851	+	11.2700i	−0.463796	+	0.363361i
$963$	87.4831	−	77.5033i	2.81910	−	2.49751i
$964$	−18.4415	−	6.99394i	−0.593961	−	0.225260i
$965$	31.6618	+	7.80394i	1.01923	+	0.251218i
$966$	6.13332	+	10.1457i	0.197336	+	0.326434i
$967$	28.4255	−	19.6207i	0.914103	−	0.630960i	−0.0153573	−	0.999882i	$-0.504889\pi$
$967$	28.4255	−	19.6207i	0.914103	−	0.630960i	0.929460	+	0.368922i	$0.120273\pi$
$968$	27.6204	+	17.4146i	0.887754	+	0.559727i
$969$	−94.7979	−	49.7538i	−3.04535	−	1.59832i
$970$	53.2942	−	20.2118i	1.71117	−	0.648963i
$971$	−36.7415	+	4.46122i	−1.17909	+	0.143167i	−0.686524	−	0.727108i	$-0.740864\pi$
$971$	−36.7415	+	4.46122i	−1.17909	+	0.143167i	−0.492566	+	0.870275i	$0.663941\pi$
$972$	−55.9047	+	25.1607i	−1.79314	+	0.807029i
$973$	22.7247	+	4.16445i	0.728520	+	0.133506i
$974$	−12.0355	+	15.3622i	−0.385643	+	0.492236i
$975$	73.7837	−	4.46309i	2.36297	−	0.142933i
$976$	−1.37301	+	2.27124i	−0.0439491	+	0.0727007i
$977$	28.3457	+	28.3457i	0.906859	+	0.906859i	0.996017	−	0.0891584i	$-0.0284177\pi$
$977$	28.3457	+	28.3457i	0.906859	+	0.906859i	−0.0891584	+	0.996017i	$0.528418\pi$
$978$	4.57804	+	18.5738i	0.146390	+	0.593926i
$979$	−11.1202	−	36.9040i	−0.355402	−	1.17946i
$980$	−1.07284	+	0.334311i	−0.0342707	+	0.0106792i
$981$	48.1816	−	15.0140i	1.53832	−	0.479360i
$982$	−0.818412	+	6.74023i	−0.0261166	+	0.215089i
$983$	9.58251	+	38.8778i	0.305635	+	1.24001i	0.900027	+	0.435834i	$0.143546\pi$
$983$	9.58251	+	38.8778i	0.305635	+	1.24001i	−0.594393	+	0.804175i	$0.702607\pi$
$984$	−4.18283	+	4.18283i	−0.133344	+	0.133344i
$985$	71.9099	+	43.4711i	2.29124	+	1.38510i
$986$	2.24656	+	37.1401i	0.0715451	+	1.18278i
$987$	−55.9587	−	43.8408i	−1.78118	−	1.39547i
$988$	−5.44097	+	29.6904i	−0.173100	+	0.944578i
$989$	−1.01187	+	0.455404i	−0.0321754	+	0.0144810i
$990$	42.1605	+	71.2466i	1.33995	+	2.26437i
$991$	−21.7301	+	8.24116i	−0.690281	+	0.261789i	−0.674703	−	0.738090i	$-0.735728\pi$
$991$	−21.7301	+	8.24116i	−0.690281	+	0.261789i	−0.0155781	+	0.999879i	$0.504959\pi$
$992$	−7.06656	−	3.70881i	−0.224363	−	0.117755i
$993$	−3.55255	−	19.3856i	−0.112737	−	0.615184i
$994$	−12.8533	+	8.87201i	−0.407683	+	0.281403i
$995$	30.5615	−	18.4751i	0.968866	−	0.585700i
$996$	5.90409	−	23.9538i	0.187078	−	0.759007i
$997$	2.77410	−	7.31469i	0.0878565	−	0.231659i	−0.883886	−	0.467703i	$-0.845082\pi$
$997$	2.77410	−	7.31469i	0.0878565	−	0.231659i	0.971742	+	0.236044i	$0.0758510\pi$
$998$	−19.3058	−	21.7917i	−0.611113	−	0.689804i
$999$	44.7811	+	57.1589i	1.41681	+	1.80843i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	583.2.q.b.21.19	✓	1200
11.10	odd	2	inner	583.2.q.b.21.32	yes	1200
53.48	odd	52	inner	583.2.q.b.472.32	yes	1200
583.472	even	52	inner	583.2.q.b.472.19	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
583.2.q.b.21.19	✓	1200	1.1	even	1	trivial
583.2.q.b.21.32	yes	1200	11.10	odd	2	inner
583.2.q.b.472.19	yes	1200	583.472	even	52	inner
583.2.q.b.472.32	yes	1200	53.48	odd	52	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 583 = 11 \cdot 53 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	583.q (of order \(52\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.926926 - 0.288842i) q^{2} +(-3.04302 - 1.36955i) q^{3} +(-0.870206 - 0.600660i) q^{4} +(-3.15436 - 0.190803i) q^{5} +(2.42507 + 2.14842i) q^{6} +(2.28573 - 1.19964i) q^{7} +(1.83065 + 2.33665i) q^{8} +(5.39491 + 6.08959i) q^{9} +(2.86874 + 1.08797i) q^{10} +(3.26778 - 0.567137i) q^{11} +(1.82542 + 3.01961i) q^{12} +(-3.65597 + 2.52354i) q^{13} +(-2.46521 + 0.451766i) q^{14} +(9.33744 + 4.90067i) q^{15} +(-0.272049 - 0.717335i) q^{16} +(-0.601793 - 4.95621i) q^{17} +(-3.24175 - 7.20288i) q^{18} +(-1.15833 + 6.32082i) q^{19} +(2.63033 + 2.06073i) q^{20} +(-8.59848 + 0.520112i) q^{21} +(-3.19280 - 0.418176i) q^{22} +(1.00236 + 1.00236i) q^{23} +(-2.37053 - 9.61763i) q^{24} +(4.95002 + 0.601041i) q^{25} +(4.11772 - 1.28313i) q^{26} +(-5.09848 - 16.3616i) q^{27} +(-2.70963 - 0.329009i) q^{28} +(7.45303 - 1.83701i) q^{29} +(-7.23960 - 7.23960i) q^{30} +(0.795225 - 1.31546i) q^{31} +(-0.313478 - 5.18241i) q^{32} +(-10.7206 - 2.74958i) q^{33} +(-0.873743 + 4.76786i) q^{34} +(-7.43890 + 3.34798i) q^{35} +(-1.03691 - 8.53971i) q^{36} +(-3.96166 + 1.50246i) q^{37} +(2.89941 - 5.52436i) q^{38} +(14.5813 - 2.67212i) q^{39} +(-5.32868 - 7.71992i) q^{40} +(-0.308948 - 0.511062i) q^{41} +(8.12038 + 2.00149i) q^{42} +(-0.277576 + 0.731908i) q^{43} +(-3.18430 - 1.46930i) q^{44} +(-15.8556 - 20.2381i) q^{45} +(-0.639589 - 1.21863i) q^{46} +(6.17696 + 5.47231i) q^{47} +(-0.154576 + 2.55545i) q^{48} +(-0.191039 + 0.276768i) q^{49} +(-4.41469 - 1.98689i) q^{50} +(-4.95652 + 15.9060i) q^{51} +4.69724 q^{52} +(6.88492 + 2.36598i) q^{53} +16.6386i q^{54} +(-10.4159 + 1.16545i) q^{55} +(6.98751 + 3.14482i) q^{56} +(12.1815 - 17.6480i) q^{57} +(-7.43901 - 0.449977i) q^{58} +(-2.14039 + 2.41600i) q^{59} +(-5.18187 - 9.87322i) q^{60} +(-2.13346 - 2.72317i) q^{61} +(-1.11708 + 0.989642i) q^{62} +(19.6366 + 7.44720i) q^{63} +(-1.57353 + 6.38405i) q^{64} +(12.0137 - 7.26256i) q^{65} +(9.14302 + 5.64521i) q^{66} +(-10.1832 + 1.86614i) q^{67} +(-2.45331 + 4.67440i) q^{68} +(-1.67741 - 4.42297i) q^{69} +(7.86234 - 0.954661i) q^{70} +(5.68258 - 2.55752i) q^{71} +(-4.35307 + 23.7539i) q^{72} +(-1.10334 + 1.40831i) q^{73} +(4.10614 - 0.248376i) q^{74} +(-14.2398 - 8.60828i) q^{75} +(4.80466 - 4.80466i) q^{76} +(6.78889 - 5.21649i) q^{77} +(-14.2876 - 1.73483i) q^{78} +(-0.629619 - 2.02052i) q^{79} +(0.721270 + 2.31464i) q^{80} +(-3.95136 + 32.5424i) q^{81} +(0.138756 + 0.562953i) q^{82} +(-4.94401 - 4.94401i) q^{83} +(7.79486 + 4.71216i) q^{84} +(0.952608 + 15.7485i) q^{85} +(0.468698 - 0.598249i) q^{86} +(-25.1956 - 4.61726i) q^{87} +(7.30735 + 6.59742i) q^{88} +(-1.40077 - 11.5364i) q^{89} +(8.85131 + 23.3390i) q^{90} +(-5.32922 + 10.1540i) q^{91} +(-0.270182 - 1.47434i) q^{92} +(-4.22148 + 2.91387i) q^{93} +(-4.14495 - 6.85659i) q^{94} +(4.85983 - 19.7171i) q^{95} +(-6.14365 + 16.1995i) q^{96} +(13.9055 - 12.3192i) q^{97} +(0.257021 - 0.201363i) q^{98} +(21.0830 + 16.8398i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 48 q^{3} - 52 q^{4} - 44 q^{5} - 52 q^{9} - 26 q^{11} - 64 q^{12} - 28 q^{14} - 28 q^{15} + 72 q^{16} - 52 q^{20} - 12 q^{22} - 68 q^{23} - 52 q^{25} - 80 q^{26} - 72 q^{27} - 56 q^{31} - 28 q^{33}+ \cdots - 258 q^{99}+O(q^{100}) \) 1200 * q - 48 * q^3 - 52 * q^4 - 44 * q^5 - 52 * q^9 - 26 * q^11 - 64 * q^12 - 28 * q^14 - 28 * q^15 + 72 * q^16 - 52 * q^20 - 12 * q^22 - 68 * q^23 - 52 * q^25 - 80 * q^26 - 72 * q^27 - 56 * q^31 - 28 * q^33 - 40 * q^34 - 144 * q^36 - 52 * q^37 - 52 * q^38 + 164 * q^42 - 150 * q^44 + 224 * q^45 - 36 * q^47 - 128 * q^48 - 180 * q^49 + 56 * q^53 - 124 * q^55 + 220 * q^56 - 104 * q^59 - 520 * q^60 + 156 * q^64 - 70 * q^66 + 12 * q^67 - 36 * q^69 - 52 * q^70 - 68 * q^71 + 8 * q^75 - 38 * q^77 - 52 * q^78 - 80 * q^80 + 40 * q^81 - 52 * q^82 - 48 * q^86 - 138 * q^88 - 12 * q^89 - 52 * q^91 - 144 * q^92 + 156 * q^93 + 36 * q^97 - 258 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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