LMFDB - Embedded newform 87.2.k.a.11.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [87,2,Mod(2,87)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("87.2"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(87, base_ring=CyclotomicField(28)) chi = DirichletCharacter(H, H._module([14, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 87 = 3 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	87.k (of order $28$, degree $12$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$0.694698497585$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$8$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			11.4
Character	$\chi$	$=$	87.11
Dual form			87.2.k.a.8.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0726507 - 0.207624i) q^{2} +(1.66092 + 0.491261i) q^{3} +(1.52583 - 1.21681i) q^{4} +(-2.41194 - 1.16153i) q^{5} +(-0.0186698 - 0.380537i) q^{6} +(-1.79859 + 2.25536i) q^{7} +(-0.735996 - 0.462457i) q^{8} +(2.51733 + 1.63189i) q^{9} +(-0.0659319 + 0.585161i) q^{10} +(-1.11395 + 0.699943i) q^{11} +(3.13206 - 1.27145i) q^{12} +(-0.986708 - 0.225210i) q^{13} +(0.598935 + 0.209576i) q^{14} +(-3.43543 - 3.11410i) q^{15} +(0.826004 - 3.61896i) q^{16} +(4.86592 + 4.86592i) q^{17} +(0.155934 - 0.641215i) q^{18} +(-6.63742 - 0.747857i) q^{19} +(-5.09358 + 1.16258i) q^{20} +(-4.09529 + 2.86240i) q^{21} +(0.226254 + 0.180432i) q^{22} +(-0.885333 - 1.83841i) q^{23} +(-0.995245 - 1.12967i) q^{24} +(1.35085 + 1.69391i) q^{25} +(0.0249261 + 0.221226i) q^{26} +(3.37940 + 3.94711i) q^{27} +5.62985i q^{28} +(-4.38774 - 3.12214i) q^{29} +(-0.396974 + 0.939518i) q^{30} +(4.02280 - 1.40764i) q^{31} +(-2.53891 + 0.286067i) q^{32} +(-2.19404 + 0.615310i) q^{33} +(0.656768 - 1.36379i) q^{34} +(6.95775 - 3.35068i) q^{35} +(5.82672 - 0.573117i) q^{36} +(3.07771 - 4.89815i) q^{37} +(0.326940 + 1.43242i) q^{38} +(-1.52821 - 0.858786i) q^{39} +(1.23802 + 1.97030i) q^{40} +(6.94014 - 6.94014i) q^{41} +(0.891828 + 0.642323i) q^{42} +(-0.563474 + 1.61032i) q^{43} +(-0.848008 + 2.42347i) q^{44} +(-4.17615 - 6.85997i) q^{45} +(-0.317378 + 0.317378i) q^{46} +(2.27961 + 3.62798i) q^{47} +(3.14978 - 5.60503i) q^{48} +(-0.294077 - 1.28843i) q^{49} +(0.253556 - 0.403532i) q^{50} +(5.69148 + 10.4723i) q^{51} +(-1.77959 + 0.857005i) q^{52} +(1.09138 - 2.26627i) q^{53} +(0.573998 - 0.988404i) q^{54} +(3.49979 - 0.394332i) q^{55} +(2.36676 - 0.828165i) q^{56} +(-10.6568 - 4.50283i) q^{57} +(-0.329458 + 1.13782i) q^{58} +9.04509i q^{59} +(-9.03116 - 0.571325i) q^{60} +(0.733676 + 6.51155i) q^{61} +(-0.584519 - 0.732963i) q^{62} +(-8.20814 + 2.74237i) q^{63} +(-2.97733 - 6.18248i) q^{64} +(2.11829 + 1.68928i) q^{65} +(0.287152 + 0.410833i) q^{66} +(3.47820 - 0.793877i) q^{67} +(13.3455 + 1.50368i) q^{68} +(-0.567330 - 3.48839i) q^{69} +(-1.20117 - 1.20117i) q^{70} +(1.39053 - 6.09230i) q^{71} +(-1.09806 - 2.36522i) q^{72} +(5.90904 + 2.06766i) q^{73} +(-1.24057 - 0.283152i) q^{74} +(1.41150 + 3.47707i) q^{75} +(-11.0376 + 6.93538i) q^{76} +(0.424921 - 3.77127i) q^{77} +(-0.0672790 + 0.379684i) q^{78} +(-3.31969 - 2.08590i) q^{79} +(-6.19579 + 7.76928i) q^{80} +(3.67386 + 8.21601i) q^{81} +(-1.94514 - 0.936731i) q^{82} +(-11.0348 + 8.79994i) q^{83} +(-2.76572 + 9.35074i) q^{84} +(-6.08439 - 17.3882i) q^{85} +0.375276 q^{86} +(-5.75391 - 7.34115i) q^{87} +1.14356 q^{88} +(-4.97161 - 14.2080i) q^{89} +(-1.12089 + 1.36545i) q^{90} +(2.28261 - 1.82032i) q^{91} +(-3.58787 - 1.72783i) q^{92} +(7.37308 - 0.361736i) q^{93} +(0.587639 - 0.736877i) q^{94} +(15.1404 + 9.51333i) q^{95} +(-4.35747 - 0.772134i) q^{96} +(0.395650 - 3.51149i) q^{97} +(-0.246145 + 0.154663i) q^{98} +(-3.94641 - 0.0558652i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 12 q^{3} - 28 q^{4} - 14 q^{6} - 20 q^{7} - 14 q^{9} - 4 q^{10} - 8 q^{12} - 28 q^{13} - 16 q^{15} - 48 q^{16} - 28 q^{18} - 20 q^{19} + 26 q^{21} - 28 q^{22} + 58 q^{24} - 20 q^{25} + 36 q^{27}+ \cdots + 82 q^{99}+O(q^{100}) $ 96 * q - 12 * q^3 - 28 * q^4 - 14 * q^6 - 20 * q^7 - 14 * q^9 - 4 * q^10 - 8 * q^12 - 28 * q^13 - 16 * q^15 - 48 * q^16 - 28 * q^18 - 20 * q^19 + 26 * q^21 - 28 * q^22 + 58 * q^24 - 20 * q^25 + 36 * q^27 + 96 * q^30 - 32 * q^31 + 28 * q^33 - 28 * q^34 + 22 * q^36 - 4 * q^37 - 40 * q^39 - 48 * q^40 - 14 * q^42 - 32 * q^43 + 42 * q^45 + 120 * q^46 - 20 * q^48 + 4 * q^49 - 14 * q^51 + 72 * q^52 - 30 * q^54 + 148 * q^55 + 112 * q^58 + 20 * q^60 + 12 * q^61 - 14 * q^63 + 224 * q^64 - 32 * q^66 + 28 * q^67 + 10 * q^69 + 52 * q^70 - 44 * q^72 + 16 * q^73 - 144 * q^75 - 100 * q^76 - 102 * q^78 - 60 * q^79 - 146 * q^81 - 108 * q^82 - 64 * q^84 - 104 * q^85 - 70 * q^87 - 312 * q^88 - 96 * q^90 - 112 * q^91 - 70 * q^93 + 56 * q^94 - 168 * q^96 + 32 * q^97 + 82 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/87\mathbb{Z}\right)^\times$.

$n$	$31$	$59$
$\chi(n)$	$e\left(\frac{25}{28}\right)$	$-1$

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 $

$2$	−0.0726507	−	0.207624i	−0.0513718	−	0.146812i	0.915339	−	0.402685i	$-0.131923\pi$
$2$	−0.0726507	−	0.207624i	−0.0513718	−	0.146812i	−0.966710	+	0.255873i	$0.917637\pi$
$3$	1.66092	+	0.491261i	0.958934	+	0.283629i
$3$	1.66092	+	0.491261i	0.958934	+	0.283629i
$4$	1.52583	−	1.21681i	0.762917	−	0.608406i
$5$	−2.41194	−	1.16153i	−1.07865	−	0.519451i	−0.191766	−	0.981441i	$-0.561421\pi$
$5$	−2.41194	−	1.16153i	−1.07865	−	0.519451i	−0.886885	+	0.461990i	$0.847136\pi$
$6$	−0.0186698	−	0.380537i	−0.00762192	−	0.155354i
$7$	−1.79859	+	2.25536i	−0.679803	+	0.852446i	−0.995336	−	0.0964688i	$-0.969245\pi$
$7$	−1.79859	+	2.25536i	−0.679803	+	0.852446i	0.315533	+	0.948915i	$0.397817\pi$
$8$	−0.735996	−	0.462457i	−0.260214	−	0.163503i
$9$	2.51733	+	1.63189i	0.839109	+	0.543964i
$10$	−0.0659319	+	0.585161i	−0.0208495	+	0.185044i
$11$	−1.11395	+	0.699943i	−0.335870	+	0.211041i	−0.689398	−	0.724383i	$-0.742125\pi$
$11$	−1.11395	+	0.699943i	−0.335870	+	0.211041i	0.353528	+	0.935424i	$0.384982\pi$
$12$	3.13206	−	1.27145i	0.904149	−	0.367035i
$13$	−0.986708	−	0.225210i	−0.273663	−	0.0624619i	0.0834867	−	0.996509i	$-0.473394\pi$
$13$	−0.986708	−	0.225210i	−0.273663	−	0.0624619i	−0.357150	+	0.934047i	$0.616252\pi$
$14$	0.598935	+	0.209576i	0.160072	+	0.0560117i
$15$	−3.43543	−	3.11410i	−0.887024	−	0.804057i
$16$	0.826004	−	3.61896i	0.206501	−	0.904740i
$17$	4.86592	+	4.86592i	1.18016	+	1.18016i	0.979703	+	0.200456i	$0.0642423\pi$
$17$	4.86592	+	4.86592i	1.18016	+	1.18016i	0.200456	+	0.979703i	$0.435758\pi$
$18$	0.155934	−	0.641215i	0.0367540	−	0.151136i
$19$	−6.63742	−	0.747857i	−1.52273	−	0.171570i	−0.689413	−	0.724369i	$-0.742131\pi$
$19$	−6.63742	−	0.747857i	−1.52273	−	0.171570i	−0.833315	+	0.552799i	$0.813560\pi$
$20$	−5.09358	+	1.16258i	−1.13896	+	0.259960i
$21$	−4.09529	+	2.86240i	−0.893665	+	0.624627i
$22$	0.226254	+	0.180432i	0.0482376	+	0.0384682i
$23$	−0.885333	−	1.83841i	−0.184605	−	0.383336i	0.788043	−	0.615620i	$-0.211094\pi$
$23$	−0.885333	−	1.83841i	−0.184605	−	0.383336i	−0.972648	+	0.232284i	$0.925380\pi$
$24$	−0.995245	−	1.12967i	−0.203154	−	0.230593i
$25$	1.35085	+	1.69391i	0.270170	+	0.338782i
$26$	0.0249261	+	0.221226i	0.00488842	+	0.0433859i
$27$	3.37940	+	3.94711i	0.650366	+	0.759621i
$28$			5.62985i			1.06394i
$29$	−4.38774	−	3.12214i	−0.814783	−	0.579766i
$29$	−4.38774	−	3.12214i	−0.814783	−	0.579766i
$30$	−0.396974	+	0.939518i	−0.0724773	+	0.171532i
$31$	4.02280	−	1.40764i	0.722516	−	0.252819i	0.0561273	−	0.998424i	$-0.482125\pi$
$31$	4.02280	−	1.40764i	0.722516	−	0.252819i	0.666389	+	0.745604i	$0.267839\pi$
$32$	−2.53891	+	0.286067i	−0.448821	+	0.0505700i
$33$	−2.19404	+	0.615310i	−0.381934	+	0.107112i
$34$	0.656768	−	1.36379i	0.112635	−	0.233889i
$35$	6.95775	−	3.35068i	1.17607	−	0.566367i
$36$	5.82672	−	0.573117i	0.971121	−	0.0955195i
$37$	3.07771	−	4.89815i	0.505972	−	0.805250i	−0.491886	−	0.870659i	$-0.663692\pi$
$37$	3.07771	−	4.89815i	0.505972	−	0.805250i	0.997859	+	0.0654093i	$0.0208353\pi$
$38$	0.326940	+	1.43242i	0.0530367	+	0.232369i
$39$	−1.52821	−	0.858786i	−0.244709	−	0.137516i
$40$	1.23802	+	1.97030i	0.195748	+	0.311531i
$41$	6.94014	−	6.94014i	1.08387	−	1.08387i	0.0877221	−	0.996145i	$-0.472041\pi$
$41$	6.94014	−	6.94014i	1.08387	−	1.08387i	0.996145	−	0.0877221i	$-0.0279587\pi$
$42$	0.891828	+	0.642323i	0.137612	+	0.0991126i
$43$	−0.563474	+	1.61032i	−0.0859289	+	0.245571i	−0.978827	−	0.204687i	$-0.934382\pi$
$43$	−0.563474	+	1.61032i	−0.0859289	+	0.245571i	0.892899	+	0.450258i	$0.148668\pi$
$44$	−0.848008	+	2.42347i	−0.127842	+	0.365352i
$45$	−4.17615	−	6.85997i	−0.622543	−	1.02262i
$46$	−0.317378	+	0.317378i	−0.0467949	+	0.0467949i
$47$	2.27961	+	3.62798i	0.332515	+	0.529195i	0.970577	−	0.240790i	$-0.0774065\pi$
$47$	2.27961	+	3.62798i	0.332515	+	0.529195i	−0.638062	+	0.769985i	$0.720264\pi$
$48$	3.14978	−	5.60503i	0.454631	−	0.809016i
$49$	−0.294077	−	1.28843i	−0.0420109	−	0.184062i
$50$	0.253556	−	0.403532i	0.0358582	−	0.0570680i
$51$	5.69148	+	10.4723i	0.796966	+	1.46642i
$52$	−1.77959	+	0.857005i	−0.246785	+	0.118845i
$53$	1.09138	−	2.26627i	0.149912	−	0.311296i	−0.812466	−	0.583008i	$-0.801876\pi$
$53$	1.09138	−	2.26627i	0.149912	−	0.311296i	0.962379	+	0.271712i	$0.0875899\pi$
$54$	0.573998	−	0.988404i	0.0781112	−	0.134505i
$55$	3.49979	−	0.394332i	0.471912	−	0.0531717i
$56$	2.36676	−	0.828165i	0.316272	−	0.110668i
$57$	−10.6568	−	4.50283i	−1.41153	−	0.596415i
$58$	−0.329458	+	1.13782i	−0.0432599	+	0.149404i
$59$			9.04509i			1.17757i	0.808290	+	0.588785i	$0.200394\pi$
$59$			9.04509i			1.17757i	−0.808290	+	0.588785i	$0.799606\pi$
$60$	−9.03116	−	0.571325i	−1.16592	−	0.0737578i
$61$	0.733676	+	6.51155i	0.0939376	+	0.833719i	0.949018	+	0.315223i	$0.102079\pi$
$61$	0.733676	+	6.51155i	0.0939376	+	0.833719i	−0.855080	+	0.518496i	$0.826492\pi$
$62$	−0.584519	−	0.732963i	−0.0742339	−	0.0930864i
$63$	−8.20814	+	2.74237i	−1.03413	+	0.345507i
$64$	−2.97733	−	6.18248i	−0.372166	−	0.772811i
$65$	2.11829	+	1.68928i	0.262742	+	0.209529i
$66$	0.287152	+	0.410833i	0.0353459	+	0.0505701i
$67$	3.47820	−	0.793877i	0.424930	−	0.0969875i	−0.00470763	−	0.999989i	$-0.501498\pi$
$67$	3.47820	−	0.793877i	0.424930	−	0.0969875i	0.429637	+	0.903001i	$0.358641\pi$
$68$	13.3455	+	1.50368i	1.61838	+	0.182347i
$69$	−0.567330	−	3.48839i	−0.0682985	−	0.419953i
$70$	−1.20117	−	1.20117i	−0.143567	−	0.143567i
$71$	1.39053	−	6.09230i	0.165025	−	0.723023i	−0.822912	−	0.568169i	$-0.807652\pi$
$71$	1.39053	−	6.09230i	0.165025	−	0.723023i	0.987937	−	0.154854i	$-0.0494908\pi$
$72$	−1.09806	−	2.36522i	−0.129408	−	0.278744i
$73$	5.90904	+	2.06766i	0.691601	+	0.242002i	0.653116	−	0.757257i	$-0.273461\pi$
$73$	5.90904	+	2.06766i	0.691601	+	0.242002i	0.0384847	+	0.999259i	$0.487747\pi$
$74$	−1.24057	−	0.283152i	−0.144213	−	0.0329157i
$75$	1.41150	+	3.47707i	0.162986	+	0.401498i
$76$	−11.0376	+	6.93538i	−1.26610	+	0.795543i
$77$	0.424921	−	3.77127i	0.0484242	−	0.429777i
$78$	−0.0672790	+	0.379684i	−0.00761785	+	0.0429907i
$79$	−3.31969	−	2.08590i	−0.373495	−	0.234682i	0.332183	−	0.943215i	$-0.392215\pi$
$79$	−3.31969	−	2.08590i	−0.373495	−	0.234682i	−0.705678	+	0.708533i	$0.749358\pi$
$80$	−6.19579	+	7.76928i	−0.692711	+	0.868632i
$81$	3.67386	+	8.21601i	0.408207	+	0.912889i
$82$	−1.94514	−	0.936731i	−0.214805	−	0.103445i
$83$	−11.0348	+	8.79994i	−1.21122	+	0.965919i	−0.999934	−	0.0115042i	$-0.996338\pi$
$83$	−11.0348	+	8.79994i	−1.21122	+	0.965919i	−0.211290	+	0.977423i	$0.567767\pi$
$84$	−2.76572	+	9.35074i	−0.301765	+	1.02025i
$85$	−6.08439	−	17.3882i	−0.659945	−	1.88601i
$86$	0.375276			0.0404671
$87$	−5.75391	−	7.34115i	−0.616884	−	0.787054i
$88$	1.14356			0.121904
$89$	−4.97161	−	14.2080i	−0.526990	−	1.50605i	−0.832590	−	0.553890i	$-0.813143\pi$
$89$	−4.97161	−	14.2080i	−0.526990	−	1.50605i	0.305600	−	0.952160i	$-0.401143\pi$
$90$	−1.12089	+	1.36545i	−0.118152	+	0.143931i
$91$	2.28261	−	1.82032i	0.239283	−	0.190821i
$92$	−3.58787	−	1.72783i	−0.374062	−	0.180139i
$93$	7.37308	−	0.361736i	0.764553	−	0.0375102i
$94$	0.587639	−	0.736877i	0.0606104	−	0.0760030i
$95$	15.1404	+	9.51333i	1.55337	+	0.976047i
$96$	−4.35747	−	0.772134i	−0.444733	−	0.0788056i
$97$	0.395650	−	3.51149i	0.0401722	−	0.356538i	−0.957505	−	0.288417i	$-0.906871\pi$
$97$	0.395650	−	3.51149i	0.0401722	−	0.356538i	0.997677	−	0.0681209i	$-0.0217004\pi$
$98$	−0.246145	+	0.154663i	−0.0248644	+	0.0156233i
$99$	−3.94641	−	0.0558652i	−0.396630	−	0.00561467i
$100$	4.12234	+	0.940897i	0.412234	+	0.0940897i
$101$	−9.47421	−	3.31517i	−0.942719	−	0.329872i	−0.185212	−	0.982699i	$-0.559297\pi$
$101$	−9.47421	−	3.31517i	−0.942719	−	0.329872i	−0.757507	+	0.652827i	$0.773583\pi$
$102$	1.76082	−	1.94251i	0.174347	−	0.192337i
$103$	−4.38222	+	19.1998i	−0.431793	+	1.89181i	0.0202140	+	0.999796i	$0.493565\pi$
$103$	−4.38222	+	19.1998i	−0.431793	+	1.89181i	−0.452007	+	0.892014i	$0.649292\pi$
$104$	0.622063	+	0.622063i	0.0609983	+	0.0609983i
$105$	13.2023	−	2.14714i	1.28842	−	0.209540i
$106$	−0.549820	−	0.0619498i	−0.0534032	−	0.00601710i
$107$	10.5333	−	2.40416i	1.01829	−	0.232419i	0.319382	−	0.947626i	$-0.396525\pi$
$107$	10.5333	−	2.40416i	1.01829	−	0.232419i	0.698912	+	0.715207i	$0.253668\pi$
$108$	9.95929	+	1.91054i	0.958333	+	0.183841i
$109$	−4.83556	−	3.85623i	−0.463163	−	0.369360i	0.363929	−	0.931427i	$-0.381435\pi$
$109$	−4.83556	−	3.85623i	−0.463163	−	0.369360i	−0.827092	+	0.562067i	$0.810006\pi$
$110$	−0.336135	−	0.697991i	−0.0320492	−	0.0665508i
$111$	7.51810	−	6.62348i	0.713587	−	0.628673i
$112$	6.67641	+	8.37195i	0.630861	+	0.791075i
$113$	−1.04721	−	9.29425i	−0.0985133	−	0.874330i	−0.941642	−	0.336617i	$-0.890717\pi$
$113$	−1.04721	−	9.29425i	−0.0985133	−	0.874330i	0.843128	−	0.537713i	$-0.180711\pi$
$114$	−0.160668	+	2.53975i	−0.0150480	+	0.237869i
$115$			5.46248i			0.509379i
$116$	−10.4940	+	0.575189i	−0.974345	+	0.0534050i
$117$	−2.11635	−	2.17713i	−0.195656	−	0.201275i
$118$	1.87798	−	0.657132i	0.172882	−	0.0604939i
$119$	−19.7262	+	2.22261i	−1.80830	+	0.203746i
$120$	1.08833	+	3.88070i	0.0993500	+	0.354258i
$121$	−4.02175	+	8.35125i	−0.365614	+	0.759205i
$122$	1.29865	−	0.625398i	0.117574	−	0.0566208i
$123$	14.9364	−	8.11761i	1.34677	−	0.731940i
$124$	4.42529	−	7.04281i	0.397403	−	0.632463i
$125$	1.68786	+	7.39500i	0.150967	+	0.661429i
$126$	1.16571	+	1.50497i	0.103850	+	0.134073i
$127$	0.894911	+	1.42424i	0.0794105	+	0.126381i	0.884068	−	0.467358i	$-0.154794\pi$
$127$	0.894911	+	1.42424i	0.0794105	+	0.126381i	−0.804658	+	0.593739i	$0.797651\pi$
$128$	−4.68061	+	4.68061i	−0.413712	+	0.413712i
$129$	−1.72697	+	2.39780i	−0.152051	+	0.211114i
$130$	0.196839	−	0.562535i	0.0172640	−	0.0493376i
$131$	0.644520	−	1.84193i	0.0563120	−	0.160930i	−0.912291	−	0.409542i	$-0.865689\pi$
$131$	0.644520	−	1.84193i	0.0563120	−	0.160930i	0.968603	+	0.248612i	$0.0799743\pi$
$132$	−2.59903	+	3.60860i	−0.226216	+	0.314088i
$133$	13.6247	−	13.6247i	1.18141	−	1.18141i
$134$	−0.417521	−	0.664482i	−0.0360684	−	0.0574025i
$135$	−3.56623	−	13.4454i	−0.306932	−	1.15720i
$136$	−1.33102	−	5.83157i	−0.114134	−	0.500053i
$137$	−1.63370	+	2.60001i	−0.139576	+	0.222134i	−0.909196	−	0.416368i	$-0.863303\pi$
$137$	−1.63370	+	2.60001i	−0.139576	+	0.222134i	0.769620	+	0.638502i	$0.220446\pi$
$138$	−0.683056	+	0.371225i	−0.0581456	+	0.0316008i
$139$	3.10527	−	1.49542i	0.263385	−	0.126840i	−0.297531	−	0.954712i	$-0.596163\pi$
$139$	3.10527	−	1.49542i	0.263385	−	0.126840i	0.560916	+	0.827872i	$0.310449\pi$
$140$	6.53923	−	13.5788i	0.552665	−	1.14762i
$141$	2.00397	+	7.14567i	0.168765	+	0.601774i
$142$	−1.36593	+	0.153903i	−0.114626	+	0.0129153i
$143$	1.25678	−	0.439766i	0.105097	−	0.0367751i
$144$	7.98507	−	7.76215i	0.665422	−	0.646846i
$145$	6.95650	+	12.6269i	0.577706	+	1.04861i
$146$		−	1.37707i		−	0.113968i
$147$	0.144518	−	2.28446i	0.0119197	−	0.188419i
$148$	−1.26405	−	11.2187i	−0.103904	−	0.922175i
$149$	6.26162	+	7.85183i	0.512972	+	0.643247i	0.969100	−	0.246667i	$-0.0793355\pi$
$149$	6.26162	+	7.85183i	0.512972	+	0.643247i	−0.456128	+	0.889914i	$0.650764\pi$
$150$	0.619376	−	0.545673i	0.0505718	−	0.0445540i
$151$	4.78111	+	9.92807i	0.389081	+	0.807935i	0.999870	+	0.0161412i	$0.00513812\pi$
$151$	4.78111	+	9.92807i	0.389081	+	0.807935i	−0.610789	+	0.791793i	$0.709148\pi$
$152$	4.53926	+	3.61994i	0.368182	+	0.293616i
$153$	4.30845	+	20.1898i	0.348318	+	1.63224i
$154$	−0.813877	+	0.185762i	−0.0655841	+	0.0149691i
$155$	−11.3378	−	1.27746i	−0.910671	−	0.102608i
$156$	−3.37677	+	0.549177i	−0.270358	+	0.0439693i
$157$	−7.69482	−	7.69482i	−0.614113	−	0.614113i	0.329902	−	0.944015i	$-0.392984\pi$
$157$	−7.69482	−	7.69482i	−0.614113	−	0.614113i	−0.944015	+	0.329902i	$0.892984\pi$
$158$	−0.191905	+	0.840790i	−0.0152671	+	0.0668896i
$159$	2.92602	−	3.22794i	0.232048	−	0.255992i
$160$	6.45598	+	2.25905i	0.510390	+	0.178593i
$161$	5.73863	+	1.30981i	0.452268	+	0.103227i
$162$	1.43893	−	1.35968i	0.113053	−	0.106827i
$163$	3.15694	−	1.98363i	0.247270	−	0.155370i	−0.402695	−	0.915334i	$-0.631926\pi$
$163$	3.15694	−	1.98363i	0.247270	−	0.155370i	0.649965	+	0.759964i	$0.274784\pi$
$164$	2.14465	−	19.0343i	0.167469	−	1.48633i
$165$	6.00660	+	1.06435i	0.467613	+	0.0828599i
$166$	2.62876	+	1.65176i	0.204031	+	0.128201i
$167$	−6.03087	+	7.56247i	−0.466683	+	0.585201i	−0.958355	−	0.285579i	$-0.907814\pi$
$167$	−6.03087	+	7.56247i	−0.466683	+	0.585201i	0.491673	+	0.870780i	$0.336386\pi$
$168$	4.33785	−	0.212822i	0.334672	−	0.0164196i
$169$	−10.7897	−	5.19606i	−0.829979	−	0.399697i
$170$	−3.16817	+	2.52653i	−0.242987	+	0.193776i
$171$	−15.4881	−	12.7141i	−1.18441	−	0.972275i
$172$	1.09968	+	3.14271i	0.0838501	+	0.239630i
$173$	−7.67695			−0.583668			−0.291834	−	0.956469i	$-0.594265\pi$
$173$	−7.67695			−0.583668			−0.291834	+	0.956469i	$0.594265\pi$
$174$	−1.10617	+	1.72799i	−0.0838587	+	0.130998i
$175$	−6.25000			−0.472455
$176$	1.61294	+	4.60951i	0.121580	+	0.347455i
$177$	−4.44350	+	15.0232i	−0.333994	+	1.12921i
$178$	−2.58874	+	2.06445i	−0.194034	+	0.154737i
$179$	−11.8006	−	5.68286i	−0.882018	−	0.424757i	−0.0626565	−	0.998035i	$-0.519957\pi$
$179$	−11.8006	−	5.68286i	−0.882018	−	0.424757i	−0.819361	+	0.573278i	$0.805672\pi$
$180$	−14.7194	−	5.38558i	−1.09712	−	0.401418i
$181$	−8.76578	+	10.9919i	−0.651555	+	0.817024i	−0.992395	−	0.123097i	$-0.960717\pi$
$181$	−8.76578	+	10.9919i	−0.651555	+	0.817024i	0.340840	+	0.940121i	$0.389289\pi$
$182$	−0.543775	−	0.341677i	−0.0403073	−	0.0253268i
$183$	−1.98029	+	11.1756i	−0.146387	+	0.826125i
$184$	−0.198585	+	1.76249i	−0.0146399	+	0.129933i
$185$	−13.1126	+	8.23918i	−0.964056	+	0.605756i
$186$	−0.610764	−	1.50455i	−0.0447834	−	0.110319i
$187$	−8.82627	−	2.01454i	−0.645441	−	0.147318i
$188$	7.89287	+	2.76184i	0.575647	+	0.201428i
$189$	−14.9803	+	0.522535i	−1.08966	+	0.0380089i
$190$	0.875234	−	3.83465i	0.0634962	−	0.278195i
$191$	4.67144	+	4.67144i	0.338013	+	0.338013i	0.855619	−	0.517606i	$-0.173177\pi$
$191$	4.67144	+	4.67144i	0.338013	+	0.338013i	−0.517606	+	0.855619i	$0.673177\pi$
$192$	−1.90790	−	11.7313i	−0.137691	−	0.846632i
$193$	5.48513	+	0.618026i	0.394828	+	0.0444865i	0.307147	−	0.951662i	$-0.400626\pi$
$193$	5.48513	+	0.618026i	0.394828	+	0.0444865i	0.0876814	+	0.996149i	$0.472054\pi$
$194$	−0.757813	+	0.172966i	−0.0544078	+	0.0124182i
$195$	2.68844	+	3.84640i	0.192523	+	0.275446i
$196$	−2.01649	−	1.60810i	−0.144035	−	0.114864i
$197$	7.21979	+	14.9920i	0.514389	+	1.06814i	0.982808	+	0.184632i	$0.0591095\pi$
$197$	7.21979	+	14.9920i	0.514389	+	1.06814i	−0.468419	+	0.883506i	$0.655176\pi$
$198$	0.275111	+	0.823428i	0.0195513	+	0.0585185i
$199$	−14.2739	−	17.8990i	−1.01185	−	1.26882i	−0.962853	−	0.270024i	$-0.912968\pi$
$199$	−14.2739	−	17.8990i	−1.01185	−	1.26882i	−0.0489994	−	0.998799i	$-0.515603\pi$
$200$	−0.210858	−	1.87142i	−0.0149099	−	0.132329i
$201$	6.16702	+	0.390135i	0.434988	+	0.0275180i
$202$			2.20792i			0.155349i
$203$	14.9333	−	4.28049i	1.04811	−	0.300431i
$204$	21.4271	+	9.05360i	1.50020	+	0.633879i
$205$	−24.8003	+	8.67801i	−1.73213	+	0.606099i
$206$	4.30470	−	0.485023i	0.299923	−	0.0337932i
$207$	0.771418	−	6.07265i	0.0536173	−	0.422079i
$208$	−1.63005	+	3.38483i	−0.113024	+	0.234696i
$209$	7.91723	−	3.81274i	0.547646	−	0.263732i
$210$	−1.40496	−	2.58513i	−0.0969512	−	0.178391i
$211$	9.84877	−	15.6742i	0.678017	−	1.07906i	−0.313564	−	0.949567i	$-0.601523\pi$
$211$	9.84877	−	15.6742i	0.678017	−	1.07906i	0.991581	−	0.129491i	$-0.0413343\pi$
$212$	−1.09236	−	4.78594i	−0.0750236	−	0.328700i
$213$	5.30247	−	9.43573i	0.363319	−	0.646526i
$214$	−1.26441	−	2.01230i	−0.0864335	−	0.137558i
$215$	3.22949	−	3.22949i	0.220249	−	0.220249i
$216$	−0.661857	−	4.46788i	−0.0450337	−	0.304001i
$217$	−4.06063	+	11.6046i	−0.275654	+	0.787773i
$218$	−0.449338	+	1.28414i	−0.0304330	+	0.0869726i
$219$	8.79870	+	6.33711i	0.594561	+	0.428222i
$220$	4.86027	−	4.86027i	0.327679	−	0.327679i
$221$	−3.70539	−	5.89709i	−0.249251	−	0.396681i
$222$	−1.92139	−	1.07974i	−0.128955	−	0.0724671i
$223$	2.38416	+	10.4457i	0.159655	+	0.699494i	0.989861	+	0.142038i	$0.0453654\pi$
$223$	2.38416	+	10.4457i	0.159655	+	0.699494i	−0.830206	+	0.557456i	$0.811777\pi$
$224$	3.92128	−	6.24068i	0.262002	−	0.416973i
$225$	0.636248	+	6.46856i	0.0424166	+	0.431237i
$226$	−1.85363	+	0.892660i	−0.123301	+	0.0593789i
$227$	−3.20979	+	6.66520i	−0.213041	+	0.442385i	−0.979916	−	0.199412i	$-0.936097\pi$
$227$	−3.20979	+	6.66520i	−0.213041	+	0.442385i	0.766874	+	0.641797i	$0.221811\pi$
$228$	−21.7397	+	6.09679i	−1.43974	+	0.403770i
$229$	25.7022	−	2.89594i	1.69845	−	0.191369i	0.791081	−	0.611711i	$-0.209519\pi$
$229$	25.7022	−	2.89594i	1.69845	−	0.191369i	0.907366	+	0.420342i	$0.138090\pi$
$230$	1.13414	−	0.396853i	0.0747830	−	0.0261677i
$231$	2.55844	−	6.05505i	0.168333	−	0.398393i
$232$	1.78550	+	4.32702i	0.117224	+	0.284083i
$233$		−	20.7496i		−	1.35935i	−0.733513	−	0.679676i	$-0.762121\pi$
$233$		−	20.7496i		−	1.35935i	0.733513	−	0.679676i	$-0.237879\pi$
$234$	−0.298269	+	0.597574i	−0.0194984	+	0.0390646i
$235$	−1.28428	−	11.3983i	−0.0837771	−	0.743543i
$236$	11.0062	+	13.8013i	0.716441	+	0.898388i
$237$	−4.48903	−	5.09536i	−0.291594	−	0.330979i
$238$	1.89459	+	3.93415i	0.122808	+	0.255013i
$239$	3.19218	+	2.54568i	0.206485	+	0.164666i	0.721272	−	0.692652i	$-0.243558\pi$
$239$	3.19218	+	2.54568i	0.206485	+	0.164666i	−0.514787	+	0.857318i	$0.672129\pi$
$240$	−14.1075	+	9.86042i	−0.910633	+	0.636487i
$241$	21.0662	−	4.80823i	1.35699	−	0.309725i	0.518706	−	0.854953i	$-0.326414\pi$
$241$	21.0662	−	4.80823i	1.35699	−	0.309725i	0.838288	+	0.545228i	$0.183557\pi$
$242$	2.02610	+	0.228287i	0.130243	+	0.0146748i
$243$	2.06580	+	15.4510i	0.132521	+	0.991180i
$244$	9.04280	+	9.04280i	0.578906	+	0.578906i
$245$	−0.787258	+	3.44920i	−0.0502960	+	0.220361i
$246$	−2.77055	−	2.51141i	−0.176644	−	0.160122i
$247$	6.38076	+	2.23273i	0.405998	+	0.142065i
$248$	−3.61174	−	0.824355i	−0.229345	−	0.0523466i
$249$	−22.6510	+	9.19507i	−1.43545	+	0.582714i
$250$	1.41275	−	0.887691i	0.0893503	−	0.0561425i
$251$	−0.714056	+	6.33742i	−0.0450708	+	0.400015i	0.950841	+	0.309680i	$0.100222\pi$
$251$	−0.714056	+	6.33742i	−0.0450708	+	0.400015i	−0.995912	+	0.0903342i	$0.971206\pi$
$252$	−9.18730	+	14.1722i	−0.578745	+	0.892762i
$253$	2.27301	+	1.42822i	0.142903	+	0.0897917i
$254$	0.230691	−	0.289277i	0.0144748	−	0.0181509i
$255$	−1.56357	−	31.8695i	−0.0979145	−	1.99574i
$256$	−11.0531	−	5.32290i	−0.690820	−	0.332681i
$257$	10.9093	−	8.69991i	0.680506	−	0.542685i	−0.221096	−	0.975252i	$-0.570963\pi$
$257$	10.9093	−	8.69991i	0.680506	−	0.542685i	0.901602	+	0.432567i	$0.142392\pi$
$258$	0.623305	+	0.184359i	0.0388053	+	0.0114777i
$259$	5.51154	+	15.7511i	0.342471	+	0.978725i
$260$	5.28769			0.327929
$261$	−5.95038	−	15.0198i	−0.368319	−	0.929699i
$262$	−0.429254			−0.0265194
$263$	3.22343	+	9.21203i	0.198765	+	0.568038i	0.999521	−	0.0309528i	$-0.00985416\pi$
$263$	3.22343	+	9.21203i	0.198765	+	0.568038i	−0.800756	+	0.598991i	$0.795568\pi$
$264$	1.89936	+	0.561785i	0.116898	+	0.0345755i
$265$	−5.26466	+	4.19843i	−0.323406	+	0.257907i
$266$	−3.81865	−	1.83896i	−0.234136	−	0.112754i
$267$	−1.27761	−	26.0408i	−0.0781882	−	1.59367i
$268$	4.34116	−	5.44364i	0.265178	−	0.332523i
$269$	5.09140	+	3.19914i	0.310428	+	0.195055i	0.678231	−	0.734849i	$-0.262747\pi$
$269$	5.09140	+	3.19914i	0.310428	+	0.195055i	−0.367803	+	0.929904i	$0.619890\pi$
$270$	−2.53251	+	1.71725i	−0.154123	+	0.104509i
$271$	0.418314	−	3.71264i	0.0254108	−	0.225527i	−0.974588	−	0.224005i	$-0.928087\pi$
$271$	0.418314	−	3.71264i	0.0254108	−	0.225527i	0.999999	−	0.00152214i	$-0.000484512\pi$
$272$	21.6288	−	13.5903i	1.31144	−	0.824032i
$273$	4.68549	−	1.90206i	0.283579	−	0.115118i
$274$	0.658514	+	0.150302i	0.0397823	+	0.00908005i
$275$	−2.69042	−	0.941419i	−0.162239	−	0.0567697i
$276$	−5.11037	−	4.63237i	−0.307608	−	0.278836i
$277$	3.70297	−	16.2238i	0.222490	−	0.974792i	−0.733107	−	0.680114i	$-0.761930\pi$
$277$	3.70297	−	16.2238i	0.222490	−	0.974792i	0.955596	−	0.294678i	$-0.0952125\pi$
$278$	−0.536084	−	0.536084i	−0.0321522	−	0.0321522i
$279$	12.4238	+	3.02129i	0.743794	+	0.180880i
$280$	−6.67042	−	0.751575i	−0.398634	−	0.0449152i
$281$	−0.869591	+	0.198479i	−0.0518755	+	0.0118402i	−0.248380	−	0.968663i	$-0.579898\pi$
$281$	−0.869591	+	0.198479i	−0.0518755	+	0.0118402i	0.196504	+	0.980503i	$0.437041\pi$
$282$	1.33802	−	0.935211i	0.0796780	−	0.0556910i
$283$	−7.70735	−	6.14640i	−0.458154	−	0.365366i	0.367049	−	0.930202i	$-0.380368\pi$
$283$	−7.70735	−	6.14640i	−0.458154	−	0.365366i	−0.825203	+	0.564836i	$0.808940\pi$
$284$	−5.29147	−	10.9879i	−0.313991	−	0.652009i
$285$	20.4735	+	23.2388i	1.21274	+	1.37655i
$286$	−0.182612	−	0.228988i	−0.0107981	−	0.0135403i
$287$	3.17005	+	28.1350i	0.187122	+	1.66075i
$288$	−6.85811	−	3.42311i	−0.404118	−	0.201709i
$289$			30.3543i			1.78555i
$290$	2.11625	−	2.36169i	0.124270	−	0.138683i
$291$	2.38220	−	5.63795i	0.139647	−	0.330502i
$292$	11.5322	−	4.03528i	0.674869	−	0.236147i
$293$	3.64260	−	0.410422i	0.212803	−	0.0239771i	−0.00491939	−	0.999988i	$-0.501566\pi$
$293$	3.64260	−	0.410422i	0.212803	−	0.0239771i	0.217722	+	0.976011i	$0.430137\pi$
$294$	−0.484807	+	0.135962i	−0.0282745	+	0.00792946i
$295$	10.5061	−	21.8162i	0.611690	−	1.27019i
$296$	−4.53036	+	2.18171i	−0.263322	+	0.126809i
$297$	−6.52724	−	2.03151i	−0.378749	−	0.117880i
$298$	1.17531	−	1.87050i	0.0680842	−	0.108355i
$299$	0.459537	+	2.01336i	0.0265757	+	0.116436i
$300$	6.38466	+	3.58790i	0.368618	+	0.207147i
$301$	−2.61838	−	4.16713i	−0.150921	−	0.240189i
$302$	1.71395	−	1.71395i	0.0986269	−	0.0986269i
$303$	−14.1073	−	10.1605i	−0.810444	−	0.583708i
$304$	−8.18899	+	23.4028i	−0.469671	+	1.34224i
$305$	5.79377	−	16.5576i	0.331750	−	0.948088i
$306$	3.87886	−	2.36134i	0.221740	−	0.134989i
$307$	0.165484	−	0.165484i	0.00944470	−	0.00944470i	−0.702369	−	0.711813i	$-0.747874\pi$
$307$	0.165484	−	0.165484i	0.00944470	−	0.00944470i	0.711813	+	0.702369i	$0.247874\pi$
$308$	−3.94057	−	6.27139i	−0.224535	−	0.357345i
$309$	−16.7106	+	29.7365i	−0.950634	+	1.69165i
$310$	0.558465	+	2.44680i	0.0317187	+	0.138969i
$311$	−6.46040	+	10.2817i	−0.366335	+	0.583019i	−0.978129	−	0.207998i	$-0.933305\pi$
$311$	−6.46040	+	10.2817i	−0.366335	+	0.583019i	0.611794	+	0.791017i	$0.290448\pi$
$312$	0.727603	+	1.33879i	0.0411924	+	0.0757942i
$313$	−12.8985	+	6.21159i	−0.729067	+	0.351100i	−0.761317	−	0.648380i	$-0.775447\pi$
$313$	−12.8985	+	6.21159i	−0.729067	+	0.351100i	0.0322503	+	0.999480i	$0.489733\pi$
$314$	−1.03859	+	2.15666i	−0.0586112	+	0.121707i
$315$	22.9829	+	2.91955i	1.29494	+	0.164498i
$316$	−7.60345	+	0.856703i	−0.427727	+	0.0481933i
$317$	7.24726	−	2.53593i	0.407047	−	0.142432i	−0.118986	−	0.992896i	$-0.537964\pi$
$317$	7.24726	−	2.53593i	0.407047	−	0.142432i	0.526033	+	0.850464i	$0.323679\pi$
$318$	−0.882775	−	0.372999i	−0.0495036	−	0.0209167i
$319$	7.07306	+	0.406747i	0.396015	+	0.0227735i
$320$			18.3700i			1.02692i
$321$	18.6761	+	1.18148i	1.04240	+	0.0659437i
$322$	−0.144969	−	1.28664i	−0.00807881	−	0.0717014i
$323$	−28.6581	−	35.9361i	−1.59458	−	1.99954i
$324$	15.6030	+	8.06586i	0.866835	+	0.448103i
$325$	−0.951407	−	1.97562i	−0.0527746	−	0.109588i
$326$	−0.641203	−	0.511343i	−0.0355130	−	0.0283206i
$327$	−6.13708	−	8.78042i	−0.339381	−	0.485558i
$328$	−8.31742	+	1.89840i	−0.459253	+	0.104821i
$329$	−12.2825	−	1.38390i	−0.677155	−	0.0762970i
$330$	−0.215398	−	1.32444i	−0.0118573	−	0.0729080i
$331$	−10.6316	−	10.6316i	−0.584365	−	0.584365i	0.351735	−	0.936100i	$-0.385592\pi$
$331$	−10.6316	−	10.6316i	−0.584365	−	0.584365i	−0.936100	+	0.351735i	$0.885592\pi$
$332$	−6.12936	+	26.8545i	−0.336392	+	1.47383i
$333$	15.7408	−	7.30774i	0.862593	−	0.400462i
$334$	2.00830	+	0.702733i	0.109889	+	0.0384518i
$335$	−9.31131	−	2.12525i	−0.508731	−	0.116115i
$336$	6.97619	+	17.1850i	0.380582	+	0.937520i
$337$	−14.4238	+	9.06307i	−0.785714	+	0.493697i	−0.864157	−	0.503222i	$-0.832148\pi$
$337$	−14.4238	+	9.06307i	−0.785714	+	0.493697i	0.0784435	+	0.996919i	$0.475005\pi$
$338$	−0.294944	+	2.61770i	−0.0160428	+	0.142384i
$339$	2.82656	−	15.9515i	0.153518	−	0.866366i
$340$	−30.4419	−	19.1279i	−1.65095	−	1.03736i
$341$	−3.49594	+	4.38378i	−0.189316	+	0.237395i
$342$	−1.51454	+	4.13939i	−0.0818967	+	0.223833i
$343$	−14.7585	−	7.10730i	−0.796881	−	0.383758i
$344$	1.15942	−	0.924603i	0.0625115	−	0.0498512i
$345$	−2.68350	+	9.07275i	−0.144475	+	0.488461i
$346$	0.557736	+	1.59392i	0.0299841	+	0.0856896i
$347$	−21.7270			−1.16637			−0.583183	−	0.812340i	$-0.698193\pi$
$347$	−21.7270			−1.16637			−0.583183	+	0.812340i	$0.698193\pi$
$348$	−17.7123	−	4.19995i	−0.949479	−	0.225141i
$349$	−8.33859			−0.446354			−0.223177	−	0.974778i	$-0.571643\pi$
$349$	−8.33859			−0.446354			−0.223177	+	0.974778i	$0.571643\pi$
$350$	0.454067	+	1.29765i	0.0242709	+	0.0693622i
$351$	−2.44555	−	4.65571i	−0.130534	−	0.248504i
$352$	2.62800	−	2.09576i	0.140073	−	0.111704i
$353$	25.9226	+	12.4837i	1.37972	+	0.664439i	0.968940	−	0.247294i	$-0.0795414\pi$
$353$	25.9226	+	12.4837i	1.37972	+	0.664439i	0.410782	+	0.911733i	$0.365256\pi$
$354$	3.44199	−	0.168870i	0.182940	−	0.00897534i
$355$	−10.4302	+	13.0791i	−0.553580	+	0.694168i
$356$	−24.8744	−	15.6296i	−1.31834	−	0.828367i
$357$	−33.8555	−	5.99912i	−1.79182	−	0.317507i
$358$	−0.322577	+	2.86295i	−0.0170487	+	0.151311i
$359$	6.11673	−	3.84340i	0.322829	−	0.202847i	−0.360861	−	0.932620i	$-0.617517\pi$
$359$	6.11673	−	3.84340i	0.322829	−	0.202847i	0.683690	+	0.729773i	$0.260374\pi$
$360$	−0.0988112	+	6.98019i	−0.00520781	+	0.367888i
$361$	24.9724	+	5.69978i	1.31434	+	0.299988i
$362$	2.91903	+	1.02141i	0.153421	+	0.0536842i
$363$	−10.7825	+	11.8951i	−0.565932	+	0.624328i
$364$	1.26790	−	5.55501i	0.0664558	−	0.291162i
$365$	−11.8506	−	11.8506i	−0.620288	−	0.620288i
$366$	2.46419	−	0.400761i	0.128805	−	0.0209481i
$367$	34.7450	+	3.91482i	1.81367	+	0.204352i	0.952620	−	0.304163i	$-0.0983769\pi$
$367$	34.7450	+	3.91482i	1.81367	+	0.204352i	0.861053	+	0.508515i	$0.169805\pi$
$368$	−7.38443	+	1.68545i	−0.384940	+	0.0878601i
$369$	28.7961	−	6.14504i	1.49907	−	0.319898i
$370$	2.66329	+	2.12390i	0.138458	+	0.110416i
$371$	3.14831	+	6.53753i	0.163452	+	0.339411i
$372$	10.8099	−	9.52359i	0.560468	−	0.493775i
$373$	0.818330	+	1.02615i	0.0423715	+	0.0531322i	0.802566	−	0.596564i	$-0.203468\pi$
$373$	0.818330	+	1.02615i	0.0423715	+	0.0531322i	−0.760194	+	0.649696i	$0.774896\pi$
$374$	0.222969	+	1.97890i	0.0115294	+	0.102327i
$375$	−0.829466	+	13.1117i	−0.0428334	+	0.677085i
$376$		−	3.72440i		−	0.192071i
$377$	3.62628	+	4.06880i	0.186763	+	0.209554i
$378$	1.19682	+	3.07230i	0.0615578	+	0.158022i
$379$	8.66610	−	3.03240i	0.445148	−	0.155764i	−0.0983912	−	0.995148i	$-0.531370\pi$
$379$	8.66610	−	3.03240i	0.445148	−	0.155764i	0.543539	+	0.839384i	$0.317084\pi$
$380$	34.6776	−	3.90723i	1.77892	−	0.200437i
$381$	0.786704	+	2.80519i	0.0403041	+	0.143714i
$382$	0.630518	−	1.30928i	0.0322601	−	0.0669888i
$383$	−21.4111	+	10.3111i	−1.09406	+	0.526871i	−0.891786	−	0.452458i	$-0.850547\pi$
$383$	−21.4111	+	10.3111i	−1.09406	+	0.526871i	−0.202273	+	0.979329i	$0.564833\pi$
$384$	−10.0735	+	5.47473i	−0.514063	+	0.279381i
$385$	−5.40532	+	8.60252i	−0.275481	+	0.438425i
$386$	−0.270182	−	1.18374i	−0.0137519	−	0.0602510i
$387$	−4.04631	+	3.13416i	−0.205685	+	0.159318i
$388$	−3.66913	−	5.83938i	−0.186272	−	0.296450i
$389$	16.6428	−	16.6428i	0.843826	−	0.843826i	−0.145528	−	0.989354i	$-0.546488\pi$
$389$	16.6428	−	16.6428i	0.843826	−	0.843826i	0.989354	+	0.145528i	$0.0464881\pi$
$390$	0.603286	−	0.837627i	0.0305486	−	0.0424149i
$391$	4.63761	−	13.2535i	0.234534	−	0.670260i
$392$	−0.379406	+	1.08428i	−0.0191629	+	0.0547644i
$393$	1.97537	−	2.74268i	0.0996440	−	0.138350i
$394$	2.58818	−	2.58818i	0.130391	−	0.130391i
$395$	5.58406	+	8.88698i	0.280965	+	0.447153i
$396$	−6.08955	+	4.71680i	−0.306011	+	0.237028i
$397$	−3.81871	−	16.7309i	−0.191656	−	0.839699i	−0.975720	−	0.219020i	$-0.929714\pi$
$397$	−3.81871	−	16.7309i	−0.191656	−	0.839699i	0.784065	−	0.620679i	$-0.213143\pi$
$398$	−2.67924	+	4.26398i	−0.134298	+	0.213734i
$399$	29.3228	−	15.9363i	1.46798	−	0.797811i
$400$	7.24599	−	3.48949i	0.362300	−	0.174474i
$401$	−11.1526	+	23.1586i	−0.556933	+	1.15648i	0.412461	+	0.910975i	$0.364669\pi$
$401$	−11.1526	+	23.1586i	−0.556933	+	1.15648i	−0.969394	+	0.245509i	$0.921045\pi$
$402$	−0.367037	−	1.30876i	−0.0183061	−	0.0652752i
$403$	−4.28634	+	0.482955i	−0.213518	+	0.0240577i
$404$	−18.4900	+	6.46993i	−0.919912	+	0.321891i
$405$	0.681994	−	24.0838i	0.0338886	−	1.19673i
$406$	−1.97364	−	2.78952i	−0.0979503	−	0.138442i
$407$			7.61053i			0.377240i
$408$	0.654103	−	10.3397i	0.0323829	−	0.511890i
$409$	1.14584	+	10.1696i	0.0566581	+	0.502855i	0.989707	+	0.143106i	$0.0457090\pi$
$409$	1.14584	+	10.1696i	0.0566581	+	0.502855i	−0.933049	+	0.359749i	$0.882862\pi$
$410$	3.60352	+	4.51868i	0.177965	+	0.223162i
$411$	−3.99073	+	3.51585i	−0.196848	+	0.173424i
$412$	16.6760	+	34.6280i	0.821566	+	1.70600i
$413$	−20.3999	−	16.2684i	−1.00381	−	0.800516i
$414$	−1.31687	+	0.281018i	−0.0647207	+	0.0138113i
$415$	36.8366	−	8.40771i	1.80824	−	0.412718i
$416$	2.56959	+	0.289523i	0.125985	+	0.0141951i
$417$	5.89225	−	0.958278i	0.288545	−	0.0469271i
$418$	−1.36681	−	1.36681i	−0.0668527	−	0.0668527i
$419$	5.07657	−	22.2419i	0.248006	−	1.08659i	−0.685513	−	0.728060i	$-0.740422\pi$
$419$	5.07657	−	22.2419i	0.248006	−	1.08659i	0.933519	−	0.358527i	$-0.116721\pi$
$420$	17.5319	−	19.3409i	0.855469	−	0.943741i
$421$	5.91461	+	2.06961i	0.288260	+	0.100867i	0.470536	−	0.882381i	$-0.344061\pi$
$421$	5.91461	+	2.06961i	0.288260	+	0.100867i	−0.182276	+	0.983247i	$0.558346\pi$
$422$	−3.96986	−	0.906095i	−0.193250	−	0.0441080i
$423$	−0.181945	+	12.8529i	−0.00884645	+	0.624929i
$424$	−1.85130	+	1.16325i	−0.0899070	+	0.0564923i
$425$	−1.66931	+	14.8155i	−0.0809735	+	0.718659i
$426$	−2.34431	−	0.415406i	−0.113582	−	0.0201265i
$427$	−16.0055	−	10.0569i	−0.774559	−	0.486688i
$428$	13.1467	−	16.4854i	0.635469	−	0.796852i
$429$	2.30345	−	0.113011i	0.111212	−	0.00545624i
$430$	−0.905144	−	0.435894i	−0.0436499	−	0.0210207i
$431$	23.3025	−	18.5831i	1.12244	−	0.895119i	0.127136	−	0.991885i	$-0.459421\pi$
$431$	23.3025	−	18.5831i	1.12244	−	0.895119i	0.995307	+	0.0967666i	$0.0308500\pi$
$432$	17.0758	−	8.96958i	0.821561	−	0.431549i
$433$	−9.20992	−	26.3204i	−0.442600	−	1.26488i	−0.921968	−	0.387265i	$-0.873420\pi$
$433$	−9.20992	−	26.3204i	−0.442600	−	1.26488i	0.479368	−	0.877614i	$-0.340866\pi$
$434$	2.70440			0.129816
$435$	5.35112	+	24.3897i	0.256567	+	1.16940i
$436$	−12.0706			−0.578075
$437$	4.50146	+	12.8644i	0.215334	+	0.615389i
$438$	0.676503	−	2.28721i	0.0323245	−	0.109287i
$439$	19.3224	−	15.4091i	0.922210	−	0.735438i	−0.0424048	−	0.999101i	$-0.513502\pi$
$439$	19.3224	−	15.4091i	0.922210	−	0.735438i	0.964615	+	0.263662i	$0.0849305\pi$
$440$	−2.75819	−	1.32827i	−0.131492	−	0.0633230i
$441$	1.36230	−	3.72331i	0.0648713	−	0.177300i
$442$	−0.955177	+	1.19775i	−0.0454331	+	0.0569714i
$443$	−17.4508	−	10.9651i	−0.829114	−	0.520967i	0.0493462	−	0.998782i	$-0.484286\pi$
$443$	−17.4508	−	10.9651i	−0.829114	−	0.520967i	−0.878461	+	0.477815i	$0.841429\pi$
$444$	3.41184	−	19.2544i	0.161919	−	0.913775i
$445$	−4.51183	+	40.0436i	−0.213881	+	1.89825i
$446$	1.99556	−	1.25389i	0.0944924	−	0.0593735i
$447$	6.54278	+	16.1174i	0.309463	+	0.762325i
$448$	19.2987	+	4.40481i	0.911779	+	0.208107i
$449$	−11.7738	−	4.11985i	−0.555642	−	0.194428i	0.0378270	−	0.999284i	$-0.487956\pi$
$449$	−11.7738	−	4.11985i	−0.555642	−	0.194428i	−0.593469	+	0.804857i	$0.702242\pi$
$450$	1.29680	−	0.602046i	0.0611319	−	0.0283807i
$451$	−2.87329	+	12.5887i	−0.135298	+	0.592778i
$452$	−12.9072	−	12.9072i	−0.607105	−	0.607105i
$453$	3.06378	+	18.8385i	0.143949	+	0.885111i
$454$	1.61705	+	0.182198i	0.0758919	+	0.00855096i
$455$	−7.61987	+	1.73919i	−0.357225	+	0.0815343i
$456$	5.76102	+	8.24239i	0.269785	+	0.385985i
$457$	−6.94711	−	5.54014i	−0.324972	−	0.259157i	0.447390	−	0.894339i	$-0.352354\pi$
$457$	−6.94711	−	5.54014i	−0.324972	−	0.259157i	−0.772362	+	0.635182i	$0.780925\pi$
$458$	−2.46855	−	5.12599i	−0.115348	−	0.239522i
$459$	−2.76242	+	35.6502i	−0.128939	+	1.66401i
$460$	6.64681	+	8.33483i	0.309909	+	0.388614i
$461$	−2.59507	−	23.0319i	−0.120864	−	1.07270i	−0.896968	−	0.442096i	$-0.854235\pi$
$461$	−2.59507	−	23.0319i	−0.120864	−	1.07270i	0.776103	−	0.630606i	$-0.217193\pi$
$462$	−1.44304	−	0.0912892i	−0.0671365	−	0.00424716i
$463$			3.24899i			0.150994i	0.997146	+	0.0754968i	$0.0240543\pi$
$463$			3.24899i			0.150994i	−0.997146	+	0.0754968i	$0.975946\pi$
$464$	−14.9232	+	13.3001i	−0.692791	+	0.617444i
$465$	−18.2036	−	7.69155i	−0.844170	−	0.356687i
$466$	−4.30811	+	1.50747i	−0.199569	+	0.0698323i
$467$	21.8401	−	2.46079i	1.01064	−	0.113872i	0.408912	−	0.912574i	$-0.365908\pi$
$467$	21.8401	−	2.46079i	1.01064	−	0.113872i	0.601727	+	0.798702i	$0.294480\pi$
$468$	−5.87835	−	0.746735i	−0.271727	−	0.0345178i
$469$	−4.46538	+	9.27245i	−0.206192	+	0.428162i
$470$	−2.27325	+	1.09474i	−0.104857	+	0.0504966i
$471$	−9.00033	−	16.5606i	−0.414713	−	0.763074i
$472$	4.18296	−	6.65715i	0.192536	−	0.306420i
$473$	−0.499446	−	2.18822i	−0.0229645	−	0.100614i
$474$	−0.731786	+	1.30221i	−0.0336120	+	0.0598125i
$475$	−7.69934	−	12.2534i	−0.353270	−	0.562226i
$476$	−27.3944	+	27.3944i	−1.25562	+	1.25562i
$477$	6.44565	−	3.92392i	0.295126	−	0.179664i
$478$	0.296629	−	0.847718i	0.0135675	−	0.0387737i
$479$	−1.77297	+	5.06684i	−0.0810088	+	0.231510i	−0.977263	−	0.212031i	$-0.931992\pi$
$479$	−1.77297	+	5.06684i	−0.0810088	+	0.231510i	0.896254	+	0.443541i	$0.146278\pi$
$480$	9.61310	+	6.92367i	0.438776	+	0.316021i
$481$	−4.13991	+	4.13991i	−0.188764	+	0.188764i
$482$	−2.52878	−	4.02453i	−0.115183	−	0.183312i
$483$	8.88797	+	4.99465i	0.404417	+	0.227264i
$484$	4.02538	+	17.6363i	0.182972	+	0.801651i
$485$	−5.03298	+	8.00994i	−0.228536	+	0.363713i
$486$	3.05791	−	1.55143i	0.138709	−	0.0703744i
$487$	−29.6790	+	14.2926i	−1.34488	+	0.647661i	−0.961212	−	0.275809i	$-0.911054\pi$
$487$	−29.6790	+	14.2926i	−1.34488	+	0.647661i	−0.383670	+	0.923470i	$0.625340\pi$
$488$	2.47133	−	5.13177i	0.111872	−	0.232304i
$489$	6.21791	−	1.74378i	0.281183	−	0.0788567i
$490$	0.773331	−	0.0871335i	0.0349355	−	0.00393629i
$491$	9.43922	−	3.30293i	0.425986	−	0.149059i	−0.108767	−	0.994067i	$-0.534690\pi$
$491$	9.43922	−	3.30293i	0.425986	−	0.149059i	0.534753	+	0.845008i	$0.320405\pi$
$492$	12.9129	−	30.5610i	0.582159	−	1.37779i
$493$	−6.15831	−	36.5424i	−0.277356	−	1.64579i
$494$		−	1.48701i		−	0.0669036i
$495$	9.45362	+	4.71861i	0.424909	+	0.212086i
$496$	−1.77134	−	15.7211i	−0.0795354	−	0.705897i
$497$	11.2393	+	14.0937i	0.504153	+	0.632188i
$498$	3.55472	+	4.03485i	0.159291	+	0.180806i
$499$	6.36673	+	13.2206i	0.285014	+	0.591837i	0.993493	−	0.113895i	$-0.0363326\pi$
$499$	6.36673	+	13.2206i	0.285014	+	0.591837i	−0.708479	+	0.705732i	$0.750618\pi$
$500$	11.5737	+	9.22973i	0.517592	+	0.412766i
$501$	−13.7319	+	9.59795i	−0.613498	+	0.428805i
$502$	1.36768	−	0.312163i	0.0610424	−	0.0139325i
$503$	−3.39191	−	0.382177i	−0.151238	−	0.0170404i	0.0360209	−	0.999351i	$-0.488532\pi$
$503$	−3.39191	−	0.382177i	−0.151238	−	0.0170404i	−0.187259	+	0.982311i	$0.559960\pi$
$504$	7.30938	+	1.77753i	0.325586	+	0.0791776i
$505$	19.0005	+	19.0005i	0.845513	+	0.845513i
$506$	0.131398	−	0.575691i	0.00584134	−	0.0255926i
$507$	−15.3683	−	13.9308i	−0.682529	−	0.618689i
$508$	3.09852	+	1.08422i	0.137475	+	0.0481045i
$509$	0.266921	+	0.0609230i	0.0118311	+	0.00270036i	0.228432	−	0.973560i	$-0.426640\pi$
$509$	0.266921	+	0.0609230i	0.0118311	+	0.00270036i	−0.216601	+	0.976260i	$0.569497\pi$
$510$	−6.50326	+	2.63997i	−0.287969	+	0.116900i
$511$	−15.2913	+	9.60814i	−0.676446	+	0.425039i
$512$	−1.78442	+	15.8371i	−0.0788608	+	0.699909i
$513$	−19.4786	−	28.7259i	−0.860002	−	1.26828i
$514$	−2.59888	−	1.63298i	−0.114632	−	0.0720278i
$515$	32.8707	−	41.2186i	1.44846	−	1.81631i
$516$	0.282597	+	5.76004i	0.0124406	+	0.253571i
$517$	−5.07876	−	2.44580i	−0.223364	−	0.107566i
$518$	2.86988	−	2.28866i	0.126095	−	0.100558i
$519$	−12.7508	−	3.77138i	−0.559699	−	0.165545i
$520$	−0.777834	−	2.22292i	−0.0341103	−	0.0974815i
$521$	41.1751			1.80392			0.901958	−	0.431824i	$-0.142130\pi$
$521$	41.1751			1.80392			0.901958	+	0.431824i	$0.142130\pi$
$522$	−2.68616	+	2.32664i	−0.117570	+	0.101834i
$523$	−27.7030			−1.21137			−0.605683	−	0.795706i	$-0.707100\pi$
$523$	−27.7030			−1.21137			−0.605683	+	0.795706i	$0.707100\pi$
$524$	−1.25785	−	3.59474i	−0.0549496	−	0.157037i
$525$	−10.3808	−	3.07038i	−0.453053	−	0.134002i
$526$	1.67845	−	1.33852i	0.0731840	−	0.0583623i
$527$	26.4241	+	12.7252i	1.15105	+	0.554317i
$528$	0.414493	+	8.44840i	0.0180385	+	0.367670i
$529$	11.7443	−	14.7269i	0.510622	−	0.640300i
$530$	1.25418	+	0.788050i	0.0544779	+	0.0342307i
$531$	−14.7606	+	22.7694i	−0.640556	+	0.988110i
$532$	4.21032	−	37.3676i	0.182541	−	1.62009i
$533$	−8.41087	+	5.28490i	−0.364315	+	0.228914i
$534$	−5.31387	+	2.15715i	−0.229954	+	0.0933488i
$535$	−28.1982	−	6.43606i	−1.21911	−	0.278255i
$536$	−2.92707	−	1.02423i	−0.126430	−	0.0442399i
$537$	−16.8081	−	15.2360i	−0.725323	−	0.657480i
$538$	0.294323	−	1.28951i	0.0126892	−	0.0555949i
$539$	1.22942	+	1.22942i	0.0529548	+	0.0529548i
$540$	−21.8020	−	16.1761i	−0.938210	−	0.696108i
$541$	13.3034	+	1.49893i	0.571957	+	0.0644440i	0.393206	−	0.919450i	$-0.371366\pi$
$541$	13.3034	+	1.49893i	0.571957	+	0.0644440i	0.178751	+	0.983894i	$0.442794\pi$
$542$	−0.801223	+	0.182874i	−0.0344155	+	0.00785511i
$543$	−19.9592	+	13.9505i	−0.856530	+	0.598672i
$544$	−13.7461	−	10.9622i	−0.589361	−	0.469999i
$545$	7.18395	+	14.9176i	0.307727	+	0.639001i
$546$	−0.735316	−	0.834634i	−0.0314686	−	0.0357190i
$547$	−0.199715	−	0.250435i	−0.00853921	−	0.0107078i	0.777544	−	0.628829i	$-0.216465\pi$
$547$	−0.199715	−	0.250435i	−0.00853921	−	0.0107078i	−0.786083	+	0.618121i	$0.787894\pi$
$548$	0.670978	+	5.95509i	0.0286627	+	0.254389i
$549$	−8.77925	+	17.5890i	−0.374689	+	0.750680i
$550$			0.626990i			0.0267350i
$551$	26.7883	+	24.0043i	1.14122	+	1.02262i
$552$	−1.19568	+	2.82981i	−0.0508914	+	0.120445i
$553$	10.6752	−	3.73542i	0.453957	−	0.158846i
$554$	−3.63747	+	0.409844i	−0.154541	+	0.0174126i
$555$	−25.8266	+	7.24294i	−1.09628	+	0.307446i
$556$	2.91848	−	6.06028i	0.123771	−	0.257013i
$557$	−21.6438	+	10.4231i	−0.917075	+	0.441640i	−0.832026	−	0.554737i	$-0.812819\pi$
$557$	−21.6438	+	10.4231i	−0.917075	+	0.441640i	−0.0850493	+	0.996377i	$0.527105\pi$
$558$	−0.275308	−	2.79898i	−0.0116547	−	0.118490i
$559$	0.918642	−	1.46201i	0.0388544	−	0.0618365i
$560$	−6.37883	−	27.9475i	−0.269555	−	1.18100i
$561$	−13.6701	−	7.68199i	−0.577152	−	0.324334i
$562$	0.104385	+	0.166128i	0.00440323	+	0.00700770i
$563$	−27.3242	+	27.3242i	−1.15158	+	1.15158i	−0.165340	+	0.986237i	$0.552872\pi$
$563$	−27.3242	+	27.3242i	−1.15158	+	1.15158i	−0.986237	+	0.165340i	$0.947128\pi$
$564$	11.7527	+	8.46465i	0.494877	+	0.356426i
$565$	−8.26973	+	23.6335i	−0.347910	+	0.994270i
$566$	−0.716196	+	2.04677i	−0.0301039	+	0.0860321i
$567$	−25.1378	−	6.49134i	−1.05569	−	0.272611i
$568$	−3.84085	+	3.84085i	−0.161158	+	0.161158i
$569$	10.0159	+	15.9403i	0.419890	+	0.668251i	0.987957	−	0.154732i	$-0.0494513\pi$
$569$	10.0159	+	15.9403i	0.419890	+	0.668251i	−0.568067	+	0.822983i	$0.692308\pi$
$570$	3.33751	−	5.93909i	0.139793	−	0.248761i
$571$	4.74899	+	20.8067i	0.198739	+	0.870733i	0.971689	+	0.236265i	$0.0759234\pi$
$571$	4.74899	+	20.8067i	0.198739	+	0.870733i	−0.772950	+	0.634468i	$0.781219\pi$
$572$	1.38252	−	2.20027i	0.0578062	−	0.0919981i
$573$	5.46400	+	10.0538i	0.228262	+	0.420003i
$574$	5.61118	−	2.70220i	0.234206	−	0.112788i
$575$	1.91816	−	3.98309i	0.0799926	−	0.166106i
$576$	2.59424	−	20.4220i	0.108093	−	0.850917i
$577$	−26.7681	+	3.01604i	−1.11437	+	0.125559i	−0.649893	−	0.760026i	$-0.725186\pi$
$577$	−26.7681	+	3.01604i	−1.11437	+	0.125559i	−0.464477	+	0.885585i	$0.653758\pi$
$578$	6.30228	−	2.20526i	0.262140	−	0.0917268i
$579$	8.80677	+	3.72112i	0.365997	+	0.154645i
$580$	25.9790	+	10.8018i	1.07872	+	0.448519i
$581$		−	40.7149i		−	1.68914i
$582$	−1.34364	−	0.0850008i	−0.0556957	−	0.00352340i
$583$	0.370515	+	3.28842i	0.0153452	+	0.136192i
$584$	−3.39283	−	4.25447i	−0.140396	−	0.176051i
$585$	2.57571	+	7.70929i	0.106492	+	0.318740i
$586$	−0.349851	−	0.726472i	−0.0144522	−	0.0300103i
$587$	−7.49243	−	5.97502i	−0.309246	−	0.246615i	0.456552	−	0.889697i	$-0.349084\pi$
$587$	−7.49243	−	5.97502i	−0.309246	−	0.246615i	−0.765798	+	0.643081i	$0.777656\pi$
$588$	−2.55924	−	3.66155i	−0.105541	−	0.151000i
$589$	−27.7537	+	6.33460i	−1.14357	+	0.261013i
$590$	−5.29284	−	0.596360i	−0.217903	−	0.0245517i
$591$	4.62651	+	28.4474i	0.190309	+	1.17017i
$592$	−15.1840	−	15.1840i	−0.624058	−	0.624058i
$593$	1.65391	−	7.24623i	0.0679177	−	0.297567i	−0.929549	−	0.368698i	$-0.879804\pi$
$593$	1.65391	−	7.24623i	0.0679177	−	0.297567i	0.997467	+	0.0711309i	$0.0226608\pi$
$594$	0.0524200	+	1.50280i	0.00215082	+	0.0616607i
$595$	50.1599	+	17.5517i	2.05636	+	0.719551i
$596$	19.1084	+	4.36137i	0.782710	+	0.178648i
$597$	−14.9149	−	36.7410i	−0.610424	−	1.50371i
$598$	0.384636	−	0.241683i	0.0157289	−	0.00988315i
$599$	−1.84370	+	16.3633i	−0.0753317	+	0.668587i	0.898129	+	0.439732i	$0.144927\pi$
$599$	−1.84370	+	16.3633i	−0.0753317	+	0.668587i	−0.973461	+	0.228855i	$0.926502\pi$
$600$	0.569135	−	3.21187i	0.0232348	−	0.131124i
$601$	13.4004	+	8.42004i	0.546614	+	0.343461i	0.776861	−	0.629672i	$-0.216811\pi$
$601$	13.4004	+	8.42004i	0.546614	+	0.343461i	−0.230247	+	0.973132i	$0.573953\pi$
$602$	−0.674968	+	0.846383i	−0.0275097	+	0.0344960i
$603$	10.0513	+	3.67760i	0.409320	+	0.149763i
$604$	19.3758	+	9.33087i	0.788388	+	0.379668i
$605$	19.4004	−	15.4713i	0.788739	−	0.628999i
$606$	−1.08466	+	3.66719i	−0.0440615	+	0.148969i
$607$	−1.38448	−	3.95661i	−0.0561942	−	0.160594i	0.912365	−	0.409379i	$-0.134255\pi$
$607$	−1.38448	−	3.95661i	−0.0561942	−	0.160594i	−0.968559	+	0.248785i	$0.919969\pi$
$608$	17.0658			0.692108
$609$	26.9059	+	0.226578i	1.09028	+	0.00918142i
$610$	−3.85868			−0.156234
$611$	−1.43225	−	4.09314i	−0.0579428	−	0.165591i
$612$	31.1411	+	25.5636i	1.25880	+	1.03335i
$613$	9.32757	−	7.43849i	0.376737	−	0.300438i	−0.416754	−	0.909019i	$-0.636833\pi$
$613$	9.32757	−	7.43849i	0.376737	−	0.300438i	0.793491	+	0.608581i	$0.208261\pi$
$614$	−0.0463811	−	0.0223359i	−0.00187179	−	0.000901405i
$615$	−45.4546	+	2.23008i	−1.83291	+	0.0899255i
$616$	−2.05679	+	2.57913i	−0.0828705	+	0.103916i
$617$	−13.9311	−	8.75347i	−0.560844	−	0.352402i	0.221585	−	0.975141i	$-0.428877\pi$
$617$	−13.9311	−	8.75347i	−0.560844	−	0.352402i	−0.782429	+	0.622739i	$0.786020\pi$
$618$	7.38805	+	1.30914i	0.297191	+	0.0526615i
$619$	−3.18039	+	28.2267i	−0.127831	+	1.13453i	0.751974	+	0.659192i	$0.229102\pi$
$619$	−3.18039	+	28.2267i	−0.127831	+	1.13453i	−0.879805	+	0.475335i	$0.842327\pi$
$620$	−18.8540	+	11.8467i	−0.757193	+	0.475776i
$621$	4.26452	−	9.70724i	0.171129	−	0.389538i
$622$	2.60407	+	0.594362i	0.104414	+	0.0238317i
$623$	40.9861	+	14.3417i	1.64207	+	0.574587i
$624$	−4.37022	+	4.82116i	−0.174949	+	0.193001i
$625$	6.92904	−	30.3581i	0.277162	−	1.21432i
$626$	2.22676	+	2.22676i	0.0889992	+	0.0889992i
$627$	15.0229	−	2.44324i	0.599959	−	0.0975735i
$628$	−21.1041	−	2.37787i	−0.842147	−	0.0948872i
$629$	38.8099	−	8.85810i	1.54745	−	0.353195i
$630$	−1.06355	−	4.98390i	−0.0423730	−	0.198563i
$631$	−15.9262	−	12.7007i	−0.634013	−	0.505608i	0.252932	−	0.967484i	$-0.418605\pi$
$631$	−15.9262	−	12.7007i	−0.634013	−	0.505608i	−0.886945	+	0.461876i	$0.847177\pi$
$632$	1.47864	+	3.07043i	0.0588172	+	0.122135i
$633$	24.0582	−	21.1954i	0.956226	−	0.842440i
$634$	−1.05304	−	1.32047i	−0.0418215	−	0.0524425i
$635$	−0.504172	−	4.47465i	−0.0200075	−	0.177571i
$636$	0.536820	−	8.48571i	0.0212863	−	0.336480i
$637$			1.33754i			0.0529951i
$638$	−0.429412	−	1.49808i	−0.0170006	−	0.0593097i
$639$	13.4424	−	13.0671i	0.531773	−	0.516927i
$640$	16.7260	−	5.85269i	0.661154	−	0.231348i
$641$	−26.1791	+	2.94968i	−1.03401	+	0.116505i	−0.612624	−	0.790375i	$-0.709886\pi$
$641$	−26.1791	+	2.94968i	−1.03401	+	0.116505i	−0.421389	+	0.906880i	$0.638457\pi$
$642$	−1.11153	−	3.96344i	−0.0438685	−	0.156424i
$643$	13.4841	−	27.9999i	0.531759	−	1.10421i	−0.446107	−	0.894980i	$-0.647190\pi$
$643$	13.4841	−	27.9999i	0.531759	−	1.10421i	0.977866	−	0.209230i	$-0.0670958\pi$
$644$	10.3500	−	4.98429i	0.407847	−	0.196409i
$645$	6.95045	−	3.77741i	0.273674	−	0.148735i
$646$	−5.37916	+	8.56089i	−0.211640	+	0.336824i
$647$	−3.10493	−	13.6036i	−0.122067	−	0.534812i	−0.998572	−	0.0534189i	$-0.982988\pi$
$647$	−3.10493	−	13.6036i	−0.122067	−	0.534812i	0.876505	−	0.481393i	$-0.159869\pi$
$648$	1.09560	−	7.74595i	0.0430393	−	0.304290i
$649$	−6.33105	−	10.0758i	−0.248515	−	0.395510i
$650$	−0.341065	+	0.341065i	−0.0133777	+	0.0133777i
$651$	−12.4453	+	17.2796i	−0.487769	+	0.677239i
$652$	2.40325	−	6.86809i	0.0941185	−	0.268975i
$653$	−7.35593	+	21.0220i	−0.287860	+	0.822656i	0.705614	+	0.708596i	$0.250671\pi$
$653$	−7.35593	+	21.0220i	−0.287860	+	0.822656i	−0.993474	+	0.114060i	$0.963614\pi$
$654$	−1.37716	+	1.91211i	−0.0538513	+	0.0747693i
$655$	−3.69400	+	3.69400i	−0.144336	+	0.144336i
$656$	−19.3835	−	30.8486i	−0.756798	−	1.20444i
$657$	11.5008	+	14.8479i	0.448688	+	0.579272i
$658$	0.605000	+	2.65068i	0.0235853	+	0.103334i
$659$	25.4012	−	40.4258i	0.989491	−	1.57477i	0.183345	−	0.983049i	$-0.441308\pi$
$659$	25.4012	−	40.4258i	0.989491	−	1.57477i	0.806146	−	0.591717i	$-0.201550\pi$
$660$	10.4602	−	5.68487i	0.407162	−	0.221283i
$661$	24.5067	−	11.8018i	0.953201	−	0.459037i	0.108394	−	0.994108i	$-0.465429\pi$
$661$	24.5067	−	11.8018i	0.953201	−	0.459037i	0.844807	+	0.535071i	$0.179715\pi$
$662$	−1.43498	+	2.97976i	−0.0557720	+	0.115812i
$663$	−3.25735	−	11.6149i	−0.126505	−	0.451086i
$664$	12.1911	−	1.37361i	0.473108	−	0.0533065i
$665$	−48.6873	+	17.0364i	−1.88801	+	0.660644i
$666$	−2.66084	−	2.73726i	−0.103106	−	0.106067i
$667$	−1.85517	+	10.8306i	−0.0718324	+	0.419363i
$668$			18.8775i			0.730392i
$669$	−1.17165	+	18.5207i	−0.0452985	+	0.716051i
$670$	0.235222	+	2.08765i	0.00908741	+	0.0806530i
$671$	−5.37500	−	6.74003i	−0.207500	−	0.260196i
$672$	9.57874	−	8.43892i	0.369508	−	0.325538i
$673$	5.06459	+	10.5167i	0.195226	+	0.405390i	0.975485	−	0.220066i	$-0.0706272\pi$
$673$	5.06459	+	10.5167i	0.195226	+	0.405390i	−0.780259	+	0.625456i	$0.784913\pi$
$674$	2.92961	+	2.33628i	0.112844	+	0.0899903i
$675$	−2.12099	+	11.0563i	−0.0816369	+	0.425559i
$676$	−22.7859	+	5.20074i	−0.876382	+	0.200029i
$677$	−1.31548	−	0.148219i	−0.0505579	−	0.00569651i	0.0866493	−	0.996239i	$-0.472384\pi$
$677$	−1.31548	−	0.148219i	−0.0505579	−	0.00569651i	−0.137207	+	0.990542i	$0.543813\pi$
$678$	−3.51726	+	0.572025i	−0.135080	+	0.0219685i
$679$	7.20806	+	7.20806i	0.276620	+	0.276620i
$680$	−3.56320	+	15.6114i	−0.136643	+	0.598670i
$681$	−8.60557	+	9.49354i	−0.329766	+	0.363793i
$682$	1.16416	+	0.407357i	0.0445780	+	0.0155985i
$683$	2.27786	+	0.519908i	0.0871600	+	0.0198937i	0.265879	−	0.964007i	$-0.414338\pi$
$683$	2.27786	+	0.519908i	0.0871600	+	0.0198937i	−0.178718	+	0.983900i	$0.557195\pi$
$684$	−39.1030	−	0.553540i	−1.49514	−	0.0211651i
$685$	6.96037	−	4.37349i	0.265942	−	0.167102i
$686$	−0.403432	+	3.58056i	−0.0154031	+	0.136706i
$687$	44.1120	+	7.81653i	1.68298	+	0.298219i
$688$	5.36223	+	3.36931i	0.204433	+	0.128454i
$689$	−1.58725	+	1.99035i	−0.0604696	+	0.0758264i
$690$	2.07868	−	0.101983i	0.0791339	−	0.00388244i
$691$	−3.00721	−	1.44820i	−0.114400	−	0.0550920i	0.375809	−	0.926697i	$-0.377365\pi$
$691$	−3.00721	−	1.44820i	−0.114400	−	0.0550920i	−0.490208	+	0.871605i	$0.663079\pi$
$692$	−11.7138	+	9.34140i	−0.445290	+	0.355107i
$693$	7.22397	−	8.80010i	0.274416	−	0.334288i
$694$	1.57848	+	4.51104i	0.0599184	+	0.171237i
$695$	−9.22668			−0.349988
$696$	0.839889	+	8.06399i	0.0318359	+	0.305665i
$697$	67.5403			2.55827
$698$	0.605804	+	1.73129i	0.0229300	+	0.0655303i
$699$	10.1935	−	34.4635i	0.385552	−	1.30353i
$700$	−9.53645	+	7.60507i	−0.360444	+	0.287445i
$701$	−3.20583	−	1.54385i	−0.121082	−	0.0583102i	0.372362	−	0.928088i	$-0.378548\pi$
$701$	−3.20583	−	1.54385i	−0.121082	−	0.0583102i	−0.493444	+	0.869777i	$0.664262\pi$
$702$	−0.788966	+	0.845996i	−0.0297776	+	0.0319301i
$703$	−24.0911	+	30.2093i	−0.908615	+	1.13937i
$704$	7.64399	+	4.80304i	0.288094	+	0.181021i
$705$	3.46644	−	19.5626i	0.130554	−	0.736770i
$706$	0.708612	−	6.28910i	0.0266690	−	0.236694i
$707$	24.5171	−	15.4051i	0.922061	−	0.579369i
$708$	11.5004	+	28.3298i	0.432210	+	1.06470i
$709$	2.07593	+	0.473818i	0.0779632	+	0.0177946i	0.261325	−	0.965251i	$-0.415841\pi$
$709$	2.07593	+	0.473818i	0.0779632	+	0.0177946i	−0.183361	+	0.983046i	$0.558698\pi$
$710$	3.47330	+	1.21536i	0.130351	+	0.0456117i
$711$	−4.95279	−	10.6683i	−0.185744	−	0.400092i
$712$	−2.91152	+	12.7562i	−0.109114	+	0.478059i
$713$	−6.14934	−	6.14934i	−0.230295	−	0.230295i
$714$	1.21407	+	7.46505i	0.0454354	+	0.279373i
$715$	−3.54208	−	0.399096i	−0.132466	−	0.0149254i
$716$	−24.9207	+	5.68799i	−0.931331	+	0.212570i
$717$	4.05137	+	5.79637i	0.151301	+	0.216469i
$718$	−1.24237	−	0.990754i	−0.0463647	−	0.0369746i
$719$	−22.7411	−	47.2224i	−0.848100	−	1.76110i	−0.614780	−	0.788698i	$-0.710755\pi$
$719$	−22.7411	−	47.2224i	−0.848100	−	1.76110i	−0.233320	−	0.972400i	$-0.574959\pi$
$720$	−28.2754	+	9.44695i	−1.05376	+	0.352067i
$721$	−35.4206	−	44.4160i	−1.31913	−	1.65414i
$722$	−0.630850	−	5.59895i	−0.0234778	−	0.208371i
$723$	37.3514	+	2.36291i	1.38911	+	0.0878776i
$724$			27.4382i			1.01973i
$725$	−0.638549	−	11.6500i	−0.0237151	−	0.432669i
$726$	3.25305	+	1.37451i	0.120732	+	0.0510129i
$727$	−33.3117	+	11.6563i	−1.23546	+	0.432307i	−0.867455	−	0.497516i	$-0.834246\pi$
$727$	−33.3117	+	11.6563i	−1.23546	+	0.432307i	−0.368008	+	0.929823i	$0.619960\pi$
$728$	−2.52181	+	0.284140i	−0.0934645	+	0.0105309i
$729$	−4.15932	+	26.6777i	−0.154049	+	0.988063i
$730$	−1.59951	+	3.32142i	−0.0592006	+	0.122931i
$731$	−10.5775	+	5.09385i	−0.391222	+	0.188403i
$732$	10.5770	+	19.4618i	0.390938	+	0.719327i
$733$	19.7936	−	31.5014i	0.731095	−	1.16353i	−0.249668	−	0.968331i	$-0.580322\pi$
$733$	19.7936	−	31.5014i	0.731095	−	1.16353i	0.980764	−	0.195200i	$-0.0625355\pi$
$734$	−1.71144	−	7.49830i	−0.0631703	−	0.276767i
$735$	−3.00203	+	5.34211i	−0.110732	+	0.197047i
$736$	2.77370	+	4.41431i	0.102240	+	0.162714i
$737$	−3.31888	+	3.31888i	−0.122253	+	0.122253i
$738$	−3.36792	−	5.53232i	−0.123975	−	0.203648i
$739$	2.53638	−	7.24856i	0.0933023	−	0.266643i	−0.887769	−	0.460289i	$-0.847746\pi$
$739$	2.53638	−	7.24856i	0.0933023	−	0.266643i	0.981071	+	0.193647i	$0.0620315\pi$
$740$	−9.98208	+	28.5271i	−0.366949	+	1.04868i
$741$	9.50110	+	6.84300i	0.349032	+	0.251384i
$742$	1.12862	−	1.12862i	0.0414329	−	0.0414329i
$743$	11.3618	+	18.0823i	0.416826	+	0.663374i	0.987467	−	0.157825i	$-0.0504482\pi$
$743$	11.3618	+	18.0823i	0.416826	+	0.663374i	−0.570641	+	0.821199i	$0.693305\pi$
$744$	−5.59384	−	3.14349i	−0.205080	−	0.115246i
$745$	−5.98253	−	26.2112i	−0.219183	−	0.960303i
$746$	0.153602	−	0.244456i	0.00562376	−	0.00895016i
$747$	−42.1387	+	4.14477i	−1.54177	+	0.151649i
$748$	−15.9187	+	7.66606i	−0.582047	+	0.280299i
$749$	−13.5229	+	28.0805i	−0.494115	+	1.02604i
$750$	2.78256	−	0.780357i	0.101605	−	0.0284946i
$751$	19.5420	−	2.20185i	0.713097	−	0.0803467i	0.252039	−	0.967717i	$-0.418899\pi$
$751$	19.5420	−	2.20185i	0.713097	−	0.0803467i	0.461058	+	0.887370i	$0.347470\pi$
$752$	15.0125	−	5.25309i	0.547448	−	0.191561i
$753$	−4.29932	+	10.1752i	−0.156676	+	0.370804i
$754$	0.581327	−	1.04850i	0.0211707	−	0.0381842i
$755$		−	29.4993i		−	1.07359i
$756$	−22.2216	+	19.0255i	−0.808192	+	0.691951i
$757$	0.861919	+	7.64974i	0.0313270	+	0.278035i	0.999604	+	0.0281539i	$0.00896285\pi$
$757$	0.861919	+	7.64974i	0.0313270	+	0.278035i	−0.968277	+	0.249881i	$0.919609\pi$
$758$	−1.25920	−	1.57898i	−0.0457361	−	0.0573513i
$759$	3.07365	+	3.48881i	0.111567	+	0.126636i
$760$	−6.74375	−	14.0035i	−0.244622	−	0.507962i
$761$	−36.9339	−	29.4538i	−1.33885	−	1.06770i	−0.991520	−	0.129956i	$-0.958516\pi$
$761$	−36.9339	−	29.4538i	−1.33885	−	1.06770i	−0.347332	−	0.937742i	$-0.612912\pi$
$762$	0.525270	−	0.367138i	0.0190285	−	0.0133000i
$763$	17.3944	−	3.97015i	0.629718	−	0.143729i
$764$	12.8121	+	1.44358i	0.463525	+	0.0522267i
$765$	13.0592	−	53.7008i	0.472158	−	1.94156i
$766$	3.69636	+	3.69636i	0.133555	+	0.133555i
$767$	2.03704	−	8.92486i	0.0735533	−	0.322258i
$768$	−15.7434	−	14.2709i	−0.568092	−	0.514956i
$769$	−45.8260	−	16.0352i	−1.65253	−	0.578245i	−0.666601	−	0.745414i	$-0.732252\pi$
$769$	−45.8260	−	16.0352i	−1.65253	−	0.578245i	−0.985928	+	0.167169i	$0.946537\pi$
$770$	2.17879	+	0.497294i	0.0785181	+	0.0179212i
$771$	22.3935	−	9.09055i	0.806482	−	0.327388i
$772$	9.12142	−	5.73137i	0.328287	−	0.206276i
$773$	−4.92235	+	43.6871i	−0.177045	+	1.57132i	0.519923	+	0.854213i	$0.325961\pi$
$773$	−4.92235	+	43.6871i	−0.177045	+	1.57132i	−0.696968	+	0.717103i	$0.745468\pi$
$774$	0.944693	+	0.612410i	0.0339563	+	0.0220126i
$775$	7.81861	+	4.91276i	0.280853	+	0.176471i
$776$	−1.91511	+	2.40147i	−0.0687484	+	0.0862078i
$777$	1.41636	+	28.8689i	0.0508116	+	1.03567i
$778$	−4.66457	−	2.24634i	−0.167233	−	0.0805351i
$779$	−51.2548	+	40.8743i	−1.83639	+	1.46448i
$780$	8.78245	+	2.59764i	0.314462	+	0.0930103i
$781$	2.71528	+	7.75983i	0.0971604	+	0.277669i
$782$	−3.08867			−0.110451
$783$	−2.50451	−	27.8698i	−0.0895038	−	0.995986i
$784$	−4.90570			−0.175203
$785$	9.62167	+	27.4972i	0.343412	+	0.981416i
$786$	−0.712957	−	0.210875i	−0.0254303	−	0.00752168i
$787$	−28.7901	+	22.9593i	−1.02626	+	0.818412i	−0.983543	−	0.180675i	$-0.942172\pi$
$787$	−28.7901	+	22.9593i	−1.02626	+	0.818412i	−0.0427137	+	0.999087i	$0.513600\pi$
$788$	29.2587	+	14.0902i	1.04230	+	0.501944i
$789$	0.828358	+	16.8840i	0.0294903	+	0.601087i
$790$	1.43946	−	1.80503i	0.0512138	−	0.0642201i
$791$	22.8454	+	14.3547i	0.812288	+	0.510395i
$792$	2.87871	+	1.86616i	0.102290	+	0.0663112i
$793$	0.742541	−	6.59023i	0.0263684	−	0.234026i
$794$	−3.19630	+	2.00837i	−0.113432	+	0.0712743i
$795$	−10.8067	+	4.38694i	−0.383275	+	0.155589i
$796$	−43.5593	−	9.94213i	−1.54392	−	0.352389i
$797$	−19.3707	−	6.77809i	−0.686145	−	0.240092i	−0.0353822	−	0.999374i	$-0.511265\pi$
$797$	−19.3707	−	6.77809i	−0.686145	−	0.240092i	−0.650762	+	0.759281i	$0.725551\pi$
$798$	−5.43907	−	4.93033i	−0.192541	−	0.174532i
$799$	−6.56105	+	28.7458i	−0.232113	+	1.01695i
$800$	−3.91426	−	3.91426i	−0.138390	−	0.138390i
$801$	10.6708	−	43.8794i	0.377035	−	1.55040i
$802$	5.61851	+	0.633055i	0.198397	+	0.0223539i
$803$	−8.02964	+	1.83271i	−0.283360	+	0.0646751i
$804$	9.88457	−	6.90882i	0.348602	−	0.243655i
$805$	−12.3199	−	9.82476i	−0.434218	−	0.346277i
$806$	0.411679	+	0.854860i	0.0145008	+	0.0301111i
$807$	6.88481	+	7.81472i	0.242357	+	0.275091i
$808$	5.43986	+	6.82136i	0.191373	+	0.239975i
$809$	1.55106	+	13.7660i	0.0545323	+	0.483988i	0.991062	+	0.133400i	$0.0425895\pi$
$809$	1.55106	+	13.7660i	0.0545323	+	0.483988i	−0.936530	+	0.350588i	$0.885982\pi$
$810$	−5.04991	+	1.60811i	−0.177436	+	0.0565031i
$811$		−	11.3656i		−	0.399099i	−0.979888	−	0.199549i	$-0.936052\pi$
$811$		−	11.3656i		−	0.399099i	0.979888	−	0.199549i	$-0.0639478\pi$
$812$	17.5772	−	24.7023i	0.616837	−	0.866881i
$813$	2.51866	−	5.96090i	0.0883333	−	0.209058i
$814$	1.58013	−	0.552910i	0.0553834	−	0.0193795i
$815$	−9.91838	+	1.11753i	−0.347426	+	0.0391455i
$816$	42.6002	−	11.9470i	1.49130	−	0.418230i
$817$	4.94430	−	10.2669i	0.172979	−	0.359195i
$818$	2.02821	−	0.976732i	0.0709145	−	0.0341506i
$819$	8.71664	−	0.857370i	0.304584	−	0.0299589i
$820$	−27.2817	+	43.4185i	−0.952718	+	1.51624i
$821$	4.67173	+	20.4682i	0.163045	+	0.714345i	0.988667	+	0.150122i	$0.0479668\pi$
$821$	4.67173	+	20.4682i	0.163045	+	0.714345i	−0.825623	+	0.564222i	$0.809176\pi$
$822$	1.01990	+	0.573141i	0.0355732	+	0.0199906i
$823$	6.25475	+	9.95438i	0.218027	+	0.346988i	0.937773	−	0.347250i	$-0.112884\pi$
$823$	6.25475	+	9.95438i	0.218027	+	0.346988i	−0.719746	+	0.694238i	$0.755742\pi$
$824$	12.1044	−	12.1044i	0.421675	−	0.421675i
$825$	−4.00610	−	2.88532i	−0.139474	−	0.100454i
$826$	−1.89564	+	5.41742i	−0.0659577	+	0.188496i
$827$	10.2881	−	29.4016i	0.357751	−	1.02239i	−0.614594	−	0.788844i	$-0.710680\pi$
$827$	10.2881	−	29.4016i	0.357751	−	1.02239i	0.972345	−	0.233550i	$-0.0750341\pi$
$828$	−6.21222	−	10.2045i	−0.215890	−	0.354632i
$829$	10.4079	−	10.4079i	0.361482	−	0.361482i	−0.502876	−	0.864358i	$-0.667725\pi$
$829$	10.4079	−	10.4079i	0.361482	−	0.361482i	0.864358	+	0.502876i	$0.167725\pi$
$830$	−4.42184	−	7.03732i	−0.153484	−	0.244269i
$831$	14.1204	−	25.1273i	0.489833	−	0.871657i
$832$	1.54540	+	6.77083i	0.0535770	+	0.234736i
$833$	4.83846	−	7.70037i	0.167643	−	0.266802i
$834$	−0.627037	−	1.15375i	−0.0217125	−	0.0399511i
$835$	23.3301	−	11.2352i	0.807371	−	0.388810i
$836$	7.44099	−	15.4514i	0.257352	−	0.534397i
$837$	19.1508	+	11.1215i	0.661947	+	0.384414i
$838$	−4.98676	+	0.561873i	−0.172265	+	0.0194096i
$839$	4.17686	−	1.46155i	0.144201	−	0.0504581i	−0.257214	−	0.966355i	$-0.582804\pi$
$839$	4.17686	−	1.46155i	0.144201	−	0.0504581i	0.401415	+	0.915896i	$0.368519\pi$
$840$	−10.7098	−	4.52522i	−0.369524	−	0.156135i
$841$	9.50451	+	27.3983i	0.327742	+	0.944767i
$842$		−	1.37837i		−	0.0475018i
$843$	−1.54183	−	0.0975385i	−0.0531034	−	0.00335940i
$844$	−4.04500	−	35.9003i	−0.139235	−	1.23574i
$845$	19.9888	+	25.0651i	0.687635	+	0.862267i
$846$	2.68178	−	0.895995i	0.0922016	−	0.0308049i
$847$	−11.6016	−	24.0910i	−0.398635	−	0.827775i
$848$	−7.30004	−	5.82159i	−0.250684	−	0.199914i
$849$	−9.78182	−	13.9950i	−0.335711	−	0.480308i
$850$	3.19734	−	0.729771i	0.109668	−	0.0250309i
$851$	−11.7296	−	1.32161i	−0.402086	−	0.0453042i
$852$	−3.39082	−	20.8495i	−0.116168	−	0.714291i
$853$	3.39643	+	3.39643i	0.116292	+	0.116292i	0.762858	−	0.646566i	$-0.223796\pi$
$853$	3.39643	+	3.39643i	0.116292	+	0.116292i	−0.646566	+	0.762858i	$0.723796\pi$
$854$	−0.925244	+	4.05376i	−0.0316612	+	0.138717i
$855$	22.5885	+	48.6556i	0.772512	+	1.66399i
$856$	−8.86430	−	3.10175i	−0.302975	−	0.106016i
$857$	−13.6725	−	3.12066i	−0.467043	−	0.106600i	−0.0174784	−	0.999847i	$-0.505564\pi$
$857$	−13.6725	−	3.12066i	−0.467043	−	0.106600i	−0.449565	+	0.893248i	$0.648421\pi$
$858$	−0.190811	−	0.470041i	−0.00651419	−	0.0160470i
$859$	14.6725	−	9.21937i	0.500621	−	0.314561i	−0.257942	−	0.966160i	$-0.583044\pi$
$859$	14.6725	−	9.21937i	0.500621	−	0.314561i	0.758563	+	0.651599i	$0.225902\pi$
$860$	0.997983	−	8.85734i	0.0340309	−	0.302033i
$861$	−8.55639	+	48.2873i	−0.291601	+	1.64563i
$862$	−5.55125	−	3.48808i	−0.189076	−	0.118804i
$863$	−4.58422	+	5.74843i	−0.156049	+	0.195679i	−0.853710	−	0.520749i	$-0.825653\pi$
$863$	−4.58422	+	5.74843i	−0.156049	+	0.195679i	0.697661	+	0.716428i	$0.254224\pi$
$864$	−9.70915	−	9.05464i	−0.330312	−	0.308045i
$865$	18.5163	+	8.91700i	0.629574	+	0.303187i
$866$	−4.79564	+	3.82440i	−0.162963	+	0.129958i
$867$	−14.9119	+	50.4162i	−0.506434	+	1.71222i
$868$	7.92479	+	22.6478i	0.268985	+	0.768715i
$869$	5.15800			0.174973
$870$	4.67513	−	2.88295i	0.158502	−	0.0977412i
$871$	−3.61076			−0.122346
$872$	1.77561	+	5.07441i	0.0601298	+	0.171841i
$873$	6.72635	−	8.19391i	0.227653	−	0.277322i
$874$	2.34393	−	1.86922i	0.0792845	−	0.0632273i
$875$	−19.7141	−	9.49383i	−0.666460	−	0.320950i
$876$	21.1364	−	1.03699i	0.714133	−	0.0350366i
$877$	−18.8604	+	23.6502i	−0.636869	+	0.798609i	−0.990608	−	0.136736i	$-0.956339\pi$
$877$	−18.8604	+	23.6502i	−0.636869	+	0.798609i	0.353738	+	0.935344i	$0.384910\pi$
$878$	−4.60309	−	2.89232i	−0.155347	−	0.0976109i
$879$	6.25170	+	1.10779i	0.210864	+	0.0373647i
$880$	1.46377	−	12.9913i	0.0493437	−	0.437937i
$881$	−13.0855	+	8.22215i	−0.440861	+	0.277011i	−0.734117	−	0.679023i	$-0.762404\pi$
$881$	−13.0855	+	8.22215i	−0.440861	+	0.277011i	0.293257	+	0.956034i	$0.405261\pi$
$882$	−0.872019	−	0.0123443i	−0.0293624	−	0.000415653i
$883$	50.9226	+	11.6227i	1.71368	+	0.391136i	0.962994	−	0.269522i	$-0.0868658\pi$
$883$	50.9226	+	11.6227i	1.71368	+	0.391136i	0.750686	+	0.660659i	$0.229723\pi$
$884$	−12.8295	−	4.48922i	−0.431501	−	0.150989i
$885$	28.1673	−	31.0738i	0.946833	−	1.04453i
$886$	−1.00880	+	4.41983i	−0.0338912	+	0.148487i
$887$	−19.4189	−	19.4189i	−0.652023	−	0.652023i	0.301457	−	0.953480i	$-0.402527\pi$
$887$	−19.4189	−	19.4189i	−0.652023	−	0.652023i	−0.953480	+	0.301457i	$0.902527\pi$
$888$	−8.59636	+	1.39806i	−0.288475	+	0.0469158i
$889$	−4.82176	−	0.543282i	−0.161717	−	0.0182211i
$890$	8.64179	−	1.97243i	0.289673	−	0.0661161i
$891$	−9.84325	−	6.58075i	−0.329761	−	0.220463i
$892$	16.3482	+	13.0373i	0.547379	+	0.436520i
$893$	−12.4175	−	25.7852i	−0.415536	−	0.862870i
$894$	2.87101	−	2.52937i	0.0960210	−	0.0845949i
$895$	21.8615	+	27.4134i	0.730749	+	0.916330i
$896$	−2.13797	−	18.9750i	−0.0714244	−	0.633909i
$897$	−0.225831	+	3.56979i	−0.00754026	+	0.119192i
$898$			2.74384i			0.0915631i
$899$	−22.0458	−	6.38339i	−0.735270	−	0.212898i
$900$	8.84183	+	9.09575i	0.294728	+	0.303192i
$901$	16.3380	−	5.71692i	0.544298	−	0.190458i
$902$	2.82246	−	0.318015i	0.0939775	−	0.0105887i
$903$	−2.30178	−	8.20759i	−0.0765985	−	0.273131i
$904$	−3.52745	+	7.32482i	−0.117321	+	0.243620i
$905$	33.9100	−	16.3302i	1.12720	−	0.542833i
$906$	3.68874	−	2.00474i	0.122550	−	0.0666032i
$907$	−2.94025	+	4.67938i	−0.0976294	+	0.155376i	−0.891967	−	0.452100i	$-0.850675\pi$
$907$	−2.94025	+	4.67938i	−0.0976294	+	0.155376i	0.794338	+	0.607476i	$0.207818\pi$
$908$	3.21269	+	14.0757i	0.106617	+	0.467119i
$909$	−18.4397	−	23.8062i	−0.611606	−	0.789603i
$910$	0.914685	+	1.45571i	0.0303215	+	0.0482564i
$911$	10.5946	−	10.5946i	0.351016	−	0.351016i	−0.509471	−	0.860488i	$-0.670159\pi$
$911$	10.5946	−	10.5946i	0.351016	−	0.351016i	0.860488	+	0.509471i	$0.170159\pi$
$912$	−25.0982	+	34.8473i	−0.831083	+	1.15391i
$913$	6.13277	−	17.5264i	0.202965	−	0.580041i
$914$	−0.645552	+	1.84488i	−0.0213530	+	0.0610232i
$915$	17.7571	−	24.6547i	0.587032	−	0.815060i
$916$	35.6934	−	35.6934i	1.17934	−	1.17934i
$917$	2.99499	+	4.76650i	0.0989033	+	0.157404i
$918$	7.60252	−	2.01647i	0.250920	−	0.0665533i
$919$	−7.40955	−	32.4634i	−0.244418	−	1.07087i	−0.936946	−	0.349475i	$-0.886360\pi$
$919$	−7.40955	−	32.4634i	−0.244418	−	1.07087i	0.692527	−	0.721392i	$-0.256497\pi$
$920$	2.52616	−	4.02036i	0.0832850	−	0.132547i
$921$	0.356153	−	0.193561i	0.0117356	−	0.00637805i
$922$	−4.59343	+	2.21208i	−0.151277	+	0.0728510i
$923$	−2.74409	+	5.69816i	−0.0903228	+	0.187557i
$924$	−3.46410	−	12.3521i	−0.113961	−	0.406355i
$925$	12.4545	−	1.40329i	0.409503	−	0.0461399i
$926$	0.674569	−	0.236042i	0.0221677	−	0.00775681i
$927$	−42.3634	+	41.1808i	−1.39140	+	1.35255i
$928$	12.0332	+	6.67166i	0.395010	+	0.219008i
$929$			43.4532i			1.42565i	0.701340	+	0.712827i	$0.252585\pi$
$929$			43.4532i			1.42565i	−0.701340	+	0.712827i	$0.747415\pi$
$930$	−0.274447	+	4.33829i	−0.00899947	+	0.142258i
$931$	0.988344	+	8.77180i	0.0323917	+	0.287484i
$932$	−25.2484	−	31.6604i	−0.827037	−	1.03707i
$933$	−15.7812	+	13.9033i	−0.516653	+	0.455174i
$934$	−2.09762	−	4.35574i	−0.0686361	−	0.142524i
$935$	18.9485	+	15.1109i	0.619681	+	0.494179i
$936$	0.550796	+	2.58107i	0.0180033	+	0.0843651i
$937$	−3.11087	+	0.710036i	−0.101628	+	0.0231959i	−0.273032	−	0.962005i	$-0.588027\pi$
$937$	−3.11087	+	0.710036i	−0.101628	+	0.0231959i	0.171405	+	0.985201i	$0.445169\pi$
$938$	2.24959	+	0.253468i	0.0734518	+	0.00827604i
$939$	−24.4749	+	3.98045i	−0.798709	+	0.129897i
$940$	−15.8292	−	15.8292i	−0.516291	−	0.516291i
$941$	−0.795977	+	3.48740i	−0.0259481	+	0.113686i	−0.986243	−	0.165299i	$-0.947141\pi$
$941$	−0.795977	+	3.48740i	−0.0259481	+	0.113686i	0.960295	+	0.278985i	$0.0899981\pi$
$942$	−2.78450	+	3.07183i	−0.0907241	+	0.100085i
$943$	−18.9032	−	6.61451i	−0.615572	−	0.215398i
$944$	32.7338	+	7.47128i	1.06539	+	0.243169i
$945$	36.7385	+	16.1397i	1.19510	+	0.525025i
$946$	−0.418040	+	0.262672i	−0.0135917	+	0.00854021i
$947$	3.86229	−	34.2788i	0.125508	−	1.11391i	−0.760207	−	0.649681i	$-0.774903\pi$
$947$	3.86229	−	34.2788i	0.125508	−	1.11391i	0.885715	−	0.464230i	$-0.153669\pi$
$948$	−13.0496	−	2.31236i	−0.423831	−	0.0751019i
$949$	−5.36484	−	3.37095i	−0.174150	−	0.109426i
$950$	−1.98474	+	2.48879i	−0.0643935	+	0.0807469i
$951$	13.2829	−	0.651684i	0.430729	−	0.0211323i
$952$	15.5462	+	7.48668i	0.503857	+	0.242645i
$953$	19.9918	−	15.9429i	0.647597	−	0.516442i	−0.243706	−	0.969849i	$-0.578363\pi$
$953$	19.9918	−	15.9429i	0.647597	−	0.516442i	0.891303	+	0.453407i	$0.149792\pi$
$954$	−1.28298	−	1.05319i	−0.0415380	−	0.0340984i
$955$	−5.84121	−	16.6932i	−0.189017	−	0.540180i
$956$	7.96835			0.257715
$957$	11.5480	+	4.15029i	0.373293	+	0.134160i
$958$	1.18080			0.0381501
$959$	−2.92562	−	8.36093i	−0.0944731	−	0.269989i
$960$	−9.02447	+	30.5112i	−0.291263	+	0.984744i
$961$	−10.0353	+	8.00288i	−0.323719	+	0.258157i
$962$	1.16031	+	0.558776i	0.0374099	+	0.0180157i
$963$	30.4391	+	11.1372i	0.980887	+	0.358890i
$964$	26.2928	−	32.9702i	0.846835	−	1.06190i
$965$	−12.5119	−	7.86177i	−0.402774	−	0.253079i
$966$	0.391291	−	2.20822i	0.0125896	−	0.0710483i
$967$	1.03120	−	9.15211i	0.0331610	−	0.294312i	−0.966175	−	0.257886i	$-0.916974\pi$
$967$	1.03120	−	9.15211i	0.0331610	−	0.294312i	0.999336	−	0.0364260i	$-0.0115973\pi$
$968$	6.82208	−	4.28660i	0.219270	−	0.137776i
$969$	−29.9449	−	73.7657i	−0.961969	−	2.36970i
$970$	2.02870	+	0.463038i	0.0651377	+	0.0148673i
$971$	47.3064	+	16.5532i	1.51814	+	0.531218i	0.955373	−	0.295401i	$-0.0954532\pi$
$971$	47.3064	+	16.5532i	1.51814	+	0.531218i	0.562762	+	0.826619i	$0.309739\pi$
$972$	21.9530	+	21.0619i	0.704142	+	0.675561i
$973$	−2.21239	+	9.69313i	−0.0709261	+	0.310748i
$974$	5.12369	+	5.12369i	0.164174	+	0.164174i
$975$	−0.609671	−	3.74874i	−0.0195251	−	0.120056i
$976$	24.1711	+	2.72342i	0.773697	+	0.0871747i
$977$	20.2356	−	4.61865i	0.647394	−	0.147764i	0.113799	−	0.993504i	$-0.463698\pi$
$977$	20.2356	−	4.61865i	0.647394	−	0.147764i	0.533595	+	0.845740i	$0.320841\pi$
$978$	−0.813786	−	1.16430i	−0.0260220	−	0.0372302i
$979$	15.4830	+	12.3473i	0.494838	+	0.394620i
$980$	2.99580	+	6.22085i	0.0956974	+	0.198718i
$981$	−5.87973	−	17.5985i	−0.187725	−	0.561877i
$982$	−1.37153	−	1.71985i	−0.0437674	−	0.0548825i
$983$	−0.774551	−	6.87433i	−0.0247043	−	0.219257i	0.975294	−	0.220910i	$-0.0709026\pi$
$983$	−0.774551	−	6.87433i	−0.0247043	−	0.219257i	−0.999999	+	0.00165249i	$0.999474\pi$
$984$	−14.7472	−	0.932931i	−0.470124	−	0.0297408i
$985$		−	44.5459i		−	1.41935i
$986$	−7.13968	+	3.93345i	−0.227374	+	0.125266i
$987$	−19.7204	−	8.33245i	−0.627707	−	0.265225i
$988$	12.4528	−	4.35742i	0.396176	−	0.138628i
$989$	3.45929	−	0.389768i	0.109999	−	0.0123939i
$990$	0.292885	−	2.30561i	0.00930849	−	0.0732770i
$991$	−16.1623	+	33.5614i	−0.513414	+	1.06611i	0.469651	+	0.882852i	$0.344380\pi$
$991$	−16.1623	+	33.5614i	−0.513414	+	1.06611i	−0.983064	+	0.183262i	$0.941334\pi$
$992$	−9.81087	+	4.72467i	−0.311495	+	0.150008i
$993$	−12.4354	−	22.8811i	−0.394624	−	0.726110i
$994$	2.10964	−	3.35747i	0.0669137	−	0.106493i
$995$	13.6377	+	59.7508i	0.432345	+	1.89423i
$996$	−23.3729	+	41.5921i	−0.740600	+	1.31790i
$997$	22.5181	+	35.8374i	0.713155	+	1.13498i	0.984986	+	0.172635i	$0.0552281\pi$
$997$	22.5181	+	35.8374i	0.713155	+	1.13498i	−0.271830	+	0.962345i	$0.587629\pi$
$998$	2.28237	−	2.28237i	0.0722472	−	0.0722472i
$999$	29.7343	−	4.40474i	0.940752	−	0.139360i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	87.2.k.a.11.4	yes	96
3.2	odd	2	inner	87.2.k.a.11.5	yes	96
29.8	odd	28	inner	87.2.k.a.8.5	yes	96
87.8	even	28	inner	87.2.k.a.8.4	✓	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
87.2.k.a.8.4	✓	96	87.8	even	28	inner
87.2.k.a.8.5	yes	96	29.8	odd	28	inner
87.2.k.a.11.4	yes	96	1.1	even	1	trivial
87.2.k.a.11.5	yes	96	3.2	odd	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 87 = 3 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	87.k (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0726507 - 0.207624i) q^{2} +(1.66092 + 0.491261i) q^{3} +(1.52583 - 1.21681i) q^{4} +(-2.41194 - 1.16153i) q^{5} +(-0.0186698 - 0.380537i) q^{6} +(-1.79859 + 2.25536i) q^{7} +(-0.735996 - 0.462457i) q^{8} +(2.51733 + 1.63189i) q^{9} +(-0.0659319 + 0.585161i) q^{10} +(-1.11395 + 0.699943i) q^{11} +(3.13206 - 1.27145i) q^{12} +(-0.986708 - 0.225210i) q^{13} +(0.598935 + 0.209576i) q^{14} +(-3.43543 - 3.11410i) q^{15} +(0.826004 - 3.61896i) q^{16} +(4.86592 + 4.86592i) q^{17} +(0.155934 - 0.641215i) q^{18} +(-6.63742 - 0.747857i) q^{19} +(-5.09358 + 1.16258i) q^{20} +(-4.09529 + 2.86240i) q^{21} +(0.226254 + 0.180432i) q^{22} +(-0.885333 - 1.83841i) q^{23} +(-0.995245 - 1.12967i) q^{24} +(1.35085 + 1.69391i) q^{25} +(0.0249261 + 0.221226i) q^{26} +(3.37940 + 3.94711i) q^{27} +5.62985i q^{28} +(-4.38774 - 3.12214i) q^{29} +(-0.396974 + 0.939518i) q^{30} +(4.02280 - 1.40764i) q^{31} +(-2.53891 + 0.286067i) q^{32} +(-2.19404 + 0.615310i) q^{33} +(0.656768 - 1.36379i) q^{34} +(6.95775 - 3.35068i) q^{35} +(5.82672 - 0.573117i) q^{36} +(3.07771 - 4.89815i) q^{37} +(0.326940 + 1.43242i) q^{38} +(-1.52821 - 0.858786i) q^{39} +(1.23802 + 1.97030i) q^{40} +(6.94014 - 6.94014i) q^{41} +(0.891828 + 0.642323i) q^{42} +(-0.563474 + 1.61032i) q^{43} +(-0.848008 + 2.42347i) q^{44} +(-4.17615 - 6.85997i) q^{45} +(-0.317378 + 0.317378i) q^{46} +(2.27961 + 3.62798i) q^{47} +(3.14978 - 5.60503i) q^{48} +(-0.294077 - 1.28843i) q^{49} +(0.253556 - 0.403532i) q^{50} +(5.69148 + 10.4723i) q^{51} +(-1.77959 + 0.857005i) q^{52} +(1.09138 - 2.26627i) q^{53} +(0.573998 - 0.988404i) q^{54} +(3.49979 - 0.394332i) q^{55} +(2.36676 - 0.828165i) q^{56} +(-10.6568 - 4.50283i) q^{57} +(-0.329458 + 1.13782i) q^{58} +9.04509i q^{59} +(-9.03116 - 0.571325i) q^{60} +(0.733676 + 6.51155i) q^{61} +(-0.584519 - 0.732963i) q^{62} +(-8.20814 + 2.74237i) q^{63} +(-2.97733 - 6.18248i) q^{64} +(2.11829 + 1.68928i) q^{65} +(0.287152 + 0.410833i) q^{66} +(3.47820 - 0.793877i) q^{67} +(13.3455 + 1.50368i) q^{68} +(-0.567330 - 3.48839i) q^{69} +(-1.20117 - 1.20117i) q^{70} +(1.39053 - 6.09230i) q^{71} +(-1.09806 - 2.36522i) q^{72} +(5.90904 + 2.06766i) q^{73} +(-1.24057 - 0.283152i) q^{74} +(1.41150 + 3.47707i) q^{75} +(-11.0376 + 6.93538i) q^{76} +(0.424921 - 3.77127i) q^{77} +(-0.0672790 + 0.379684i) q^{78} +(-3.31969 - 2.08590i) q^{79} +(-6.19579 + 7.76928i) q^{80} +(3.67386 + 8.21601i) q^{81} +(-1.94514 - 0.936731i) q^{82} +(-11.0348 + 8.79994i) q^{83} +(-2.76572 + 9.35074i) q^{84} +(-6.08439 - 17.3882i) q^{85} +0.375276 q^{86} +(-5.75391 - 7.34115i) q^{87} +1.14356 q^{88} +(-4.97161 - 14.2080i) q^{89} +(-1.12089 + 1.36545i) q^{90} +(2.28261 - 1.82032i) q^{91} +(-3.58787 - 1.72783i) q^{92} +(7.37308 - 0.361736i) q^{93} +(0.587639 - 0.736877i) q^{94} +(15.1404 + 9.51333i) q^{95} +(-4.35747 - 0.772134i) q^{96} +(0.395650 - 3.51149i) q^{97} +(-0.246145 + 0.154663i) q^{98} +(-3.94641 - 0.0558652i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 12 q^{3} - 28 q^{4} - 14 q^{6} - 20 q^{7} - 14 q^{9} - 4 q^{10} - 8 q^{12} - 28 q^{13} - 16 q^{15} - 48 q^{16} - 28 q^{18} - 20 q^{19} + 26 q^{21} - 28 q^{22} + 58 q^{24} - 20 q^{25} + 36 q^{27}+ \cdots + 82 q^{99}+O(q^{100}) \) 96 * q - 12 * q^3 - 28 * q^4 - 14 * q^6 - 20 * q^7 - 14 * q^9 - 4 * q^10 - 8 * q^12 - 28 * q^13 - 16 * q^15 - 48 * q^16 - 28 * q^18 - 20 * q^19 + 26 * q^21 - 28 * q^22 + 58 * q^24 - 20 * q^25 + 36 * q^27 + 96 * q^30 - 32 * q^31 + 28 * q^33 - 28 * q^34 + 22 * q^36 - 4 * q^37 - 40 * q^39 - 48 * q^40 - 14 * q^42 - 32 * q^43 + 42 * q^45 + 120 * q^46 - 20 * q^48 + 4 * q^49 - 14 * q^51 + 72 * q^52 - 30 * q^54 + 148 * q^55 + 112 * q^58 + 20 * q^60 + 12 * q^61 - 14 * q^63 + 224 * q^64 - 32 * q^66 + 28 * q^67 + 10 * q^69 + 52 * q^70 - 44 * q^72 + 16 * q^73 - 144 * q^75 - 100 * q^76 - 102 * q^78 - 60 * q^79 - 146 * q^81 - 108 * q^82 - 64 * q^84 - 104 * q^85 - 70 * q^87 - 312 * q^88 - 96 * q^90 - 112 * q^91 - 70 * q^93 + 56 * q^94 - 168 * q^96 + 32 * q^97 + 82 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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