LMFDB - Embedded newform 87.2.k.a.8.5

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			8.5
Character	$\chi$	$=$	87.8
Dual form			87.2.k.a.11.5

$q$-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} +(-1.50996 - 0.848534i) q^{3} +(1.52583 + 1.21681i) q^{4} +(2.41194 - 1.16153i) q^{5} +(-0.285876 + 0.251858i) q^{6} +(-1.79859 - 2.25536i) q^{7} +(0.735996 - 0.462457i) q^{8} +(1.55998 + 2.56251i) q^{9} +(-0.0659319 - 0.585161i) q^{10} +(1.11395 + 0.699943i) q^{11} +(-1.27145 - 3.13206i) q^{12} +(-0.986708 + 0.225210i) q^{13} +(-0.598935 + 0.209576i) q^{14} +(-4.62753 - 0.292745i) q^{15} +(0.826004 + 3.61896i) q^{16} +(-4.86592 + 4.86592i) q^{17} +(0.645372 - 0.137721i) q^{18} +(-6.63742 + 0.747857i) q^{19} +(5.09358 + 1.16258i) q^{20} +(0.802056 + 4.93167i) q^{21} +(0.226254 - 0.180432i) q^{22} +(0.885333 - 1.83841i) q^{23} +(-1.50374 + 0.0737759i) q^{24} +(1.35085 - 1.69391i) q^{25} +(-0.0249261 + 0.221226i) q^{26} +(-0.181139 - 5.19299i) 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} +(-1.08810 - 2.00212i) q^{33} +(0.656768 + 1.36379i) q^{34} +(-6.95775 - 3.35068i) q^{35} +(-0.737820 + 5.80817i) q^{36} +(3.07771 + 4.89815i) q^{37} +(-0.326940 + 1.43242i) q^{38} +(1.68099 + 0.497196i) q^{39} +(1.23802 - 1.97030i) q^{40} +(-6.94014 - 6.94014i) q^{41} +(1.08220 + 0.191764i) q^{42} +(-0.563474 - 1.61032i) q^{43} +(0.848008 + 2.42347i) q^{44} +(6.73901 + 4.36865i) q^{45} +(-0.317378 - 0.317378i) q^{46} +(-2.27961 + 3.62798i) q^{47} +(1.82357 - 6.16539i) q^{48} +(-0.294077 + 1.28843i) q^{49} +(-0.253556 - 0.403532i) q^{50} +(11.4763 - 3.21847i) q^{51} +(-1.77959 - 0.857005i) q^{52} +(-1.09138 - 2.26627i) q^{53} +(-1.09135 - 0.339666i) 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} +(-6.70463 - 6.07752i) q^{60} +(0.733676 - 6.51155i) q^{61} +(0.584519 - 0.732963i) q^{62} +(2.97362 - 8.12722i) q^{63} +(-2.97733 + 6.18248i) q^{64} +(-2.11829 + 1.68928i) q^{65} +(-0.494738 + 0.0804611i) q^{66} +(3.47820 + 0.793877i) q^{67} +(-13.3455 + 1.50368i) q^{68} +(-2.89678 + 2.02470i) q^{69} +(-1.20117 + 1.20117i) q^{70} +(-1.39053 - 6.09230i) q^{71} +(2.33319 + 1.16457i) q^{72} +(5.90904 - 2.06766i) q^{73} +(1.24057 - 0.283152i) q^{74} +(-3.47707 + 1.41150i) q^{75} +(-11.0376 - 6.93538i) q^{76} +(-0.424921 - 3.77127i) q^{77} +(0.225355 - 0.312892i) q^{78} +(-3.31969 + 2.08590i) q^{79} +(6.19579 + 7.76928i) q^{80} +(-4.13292 + 7.99494i) q^{81} +(-1.94514 + 0.936731i) q^{82} +(11.0348 + 8.79994i) q^{83} +(-4.77711 + 8.50086i) q^{84} +(-6.08439 + 17.3882i) q^{85} -0.375276 q^{86} +(-9.27457 + 0.991171i) q^{87} +1.14356 q^{88} +(4.97161 - 14.2080i) q^{89} +(1.39663 - 1.08179i) q^{90} +(2.28261 + 1.82032i) q^{91} +(3.58787 - 1.72783i) q^{92} +(-4.87985 - 5.53897i) q^{93} +(0.587639 + 0.736877i) q^{94} +(-15.1404 + 9.51333i) q^{95} +(-3.59093 - 2.58631i) q^{96} +(0.395650 + 3.51149i) q^{97} +(0.246145 + 0.154663i) q^{98} +(-0.0558652 + 3.94641i) 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 $\left(\mathbb{Z}/87\mathbb{Z}\right)^\times$.

$n$	$31$	$59$
$\chi(n)$	$e\left(\frac{3}{28}\right)$	$-1$

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	$-0.868077\pi$
$2$	0.0726507	−	0.207624i	0.0513718	−	0.146812i	0.966710	+	0.255873i	$0.0823628\pi$
$3$	−1.50996	−	0.848534i	−0.871778	−	0.489901i
$3$	−1.50996	−	0.848534i	−0.871778	−	0.489901i
$4$	1.52583	+	1.21681i	0.762917	+	0.608406i
$5$	2.41194	−	1.16153i	1.07865	−	0.519451i	0.191766	−	0.981441i	$-0.438579\pi$
$5$	2.41194	−	1.16153i	1.07865	−	0.519451i	0.886885	+	0.461990i	$0.152864\pi$
$6$	−0.285876	+	0.251858i	−0.116708	+	0.102821i
$7$	−1.79859	−	2.25536i	−0.679803	−	0.852446i	0.315533	−	0.948915i	$-0.397817\pi$
$7$	−1.79859	−	2.25536i	−0.679803	−	0.852446i	−0.995336	+	0.0964688i	$0.969245\pi$
$8$	0.735996	−	0.462457i	0.260214	−	0.163503i
$9$	1.55998	+	2.56251i	0.519994	+	0.854170i
$10$	−0.0659319	−	0.585161i	−0.0208495	−	0.185044i
$11$	1.11395	+	0.699943i	0.335870	+	0.211041i	0.689398	−	0.724383i	$-0.257875\pi$
$11$	1.11395	+	0.699943i	0.335870	+	0.211041i	−0.353528	+	0.935424i	$0.615018\pi$
$12$	−1.27145	−	3.13206i	−0.367035	−	0.904149i
$13$	−0.986708	+	0.225210i	−0.273663	+	0.0624619i	−0.357150	−	0.934047i	$-0.616252\pi$
$13$	−0.986708	+	0.225210i	−0.273663	+	0.0624619i	0.0834867	+	0.996509i	$0.473394\pi$
$14$	−0.598935	+	0.209576i	−0.160072	+	0.0560117i
$15$	−4.62753	−	0.292745i	−1.19482	−	0.0755864i
$16$	0.826004	+	3.61896i	0.206501	+	0.904740i
$17$	−4.86592	+	4.86592i	−1.18016	+	1.18016i	−0.200456	+	0.979703i	$0.564242\pi$
$17$	−4.86592	+	4.86592i	−1.18016	+	1.18016i	−0.979703	+	0.200456i	$0.935758\pi$
$18$	0.645372	−	0.137721i	0.152116	−	0.0324612i
$19$	−6.63742	+	0.747857i	−1.52273	+	0.171570i	−0.833315	−	0.552799i	$-0.813560\pi$
$19$	−6.63742	+	0.747857i	−1.52273	+	0.171570i	−0.689413	+	0.724369i	$0.742131\pi$
$20$	5.09358	+	1.16258i	1.13896	+	0.259960i
$21$	0.802056	+	4.93167i	0.175023	+	1.07618i
$22$	0.226254	−	0.180432i	0.0482376	−	0.0384682i
$23$	0.885333	−	1.83841i	0.184605	−	0.383336i	−0.788043	−	0.615620i	$-0.788906\pi$
$23$	0.885333	−	1.83841i	0.184605	−	0.383336i	0.972648	+	0.232284i	$0.0746199\pi$
$24$	−1.50374	+	0.0737759i	−0.306949	+	0.0150594i
$25$	1.35085	−	1.69391i	0.270170	−	0.338782i
$26$	−0.0249261	+	0.221226i	−0.00488842	+	0.0433859i
$27$	−0.181139	−	5.19299i	−0.0348603	−	0.999392i
$28$		−	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	0.666389	−	0.745604i	$-0.267839\pi$
$31$	4.02280	+	1.40764i	0.722516	+	0.252819i	0.0561273	+	0.998424i	$0.482125\pi$
$32$	2.53891	+	0.286067i	0.448821	+	0.0505700i
$33$	−1.08810	−	2.00212i	−0.189415	−	0.348524i
$34$	0.656768	+	1.36379i	0.112635	+	0.233889i
$35$	−6.95775	−	3.35068i	−1.17607	−	0.566367i
$36$	−0.737820	+	5.80817i	−0.122970	+	0.968028i
$37$	3.07771	+	4.89815i	0.505972	+	0.805250i	0.997859	−	0.0654093i	$-0.0208353\pi$
$37$	3.07771	+	4.89815i	0.505972	+	0.805250i	−0.491886	+	0.870659i	$0.663692\pi$
$38$	−0.326940	+	1.43242i	−0.0530367	+	0.232369i
$39$	1.68099	+	0.497196i	0.269174	+	0.0796151i
$40$	1.23802	−	1.97030i	0.195748	−	0.311531i
$41$	−6.94014	−	6.94014i	−1.08387	−	1.08387i	−0.996145	−	0.0877221i	$-0.972041\pi$
$41$	−6.94014	−	6.94014i	−1.08387	−	1.08387i	−0.0877221	−	0.996145i	$-0.527959\pi$
$42$	1.08220	+	0.191764i	0.166988	+	0.0295898i
$43$	−0.563474	−	1.61032i	−0.0859289	−	0.245571i	0.892899	−	0.450258i	$-0.148668\pi$
$43$	−0.563474	−	1.61032i	−0.0859289	−	0.245571i	−0.978827	+	0.204687i	$0.934382\pi$
$44$	0.848008	+	2.42347i	0.127842	+	0.365352i
$45$	6.73901	+	4.36865i	1.00459	+	0.651240i
$46$	−0.317378	−	0.317378i	−0.0467949	−	0.0467949i
$47$	−2.27961	+	3.62798i	−0.332515	+	0.529195i	−0.970577	−	0.240790i	$-0.922594\pi$
$47$	−2.27961	+	3.62798i	−0.332515	+	0.529195i	0.638062	+	0.769985i	$0.279736\pi$
$48$	1.82357	−	6.16539i	0.263210	−	0.889897i
$49$	−0.294077	+	1.28843i	−0.0420109	+	0.184062i
$50$	−0.253556	−	0.403532i	−0.0358582	−	0.0570680i
$51$	11.4763	−	3.21847i	1.60700	−	0.450675i
$52$	−1.77959	−	0.857005i	−0.246785	−	0.118845i
$53$	−1.09138	−	2.26627i	−0.149912	−	0.311296i	0.812466	−	0.583008i	$-0.198124\pi$
$53$	−1.09138	−	2.26627i	−0.149912	−	0.311296i	−0.962379	+	0.271712i	$0.912410\pi$
$54$	−1.09135	−	0.339666i	−0.148514	−	0.0462227i
$55$	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	$0.799606\pi$
$60$	−6.70463	−	6.07752i	−0.865564	−	0.784604i
$61$	0.733676	−	6.51155i	0.0939376	−	0.833719i	−0.855080	−	0.518496i	$-0.826492\pi$
$61$	0.733676	−	6.51155i	0.0939376	−	0.833719i	0.949018	−	0.315223i	$-0.102079\pi$
$62$	0.584519	−	0.732963i	0.0742339	−	0.0930864i
$63$	2.97362	−	8.12722i	0.374640	−	1.02393i
$64$	−2.97733	+	6.18248i	−0.372166	+	0.772811i
$65$	−2.11829	+	1.68928i	−0.262742	+	0.209529i
$66$	−0.494738	+	0.0804611i	−0.0608981	+	0.00990408i
$67$	3.47820	+	0.793877i	0.424930	+	0.0969875i	0.429637	−	0.903001i	$-0.358641\pi$
$67$	3.47820	+	0.793877i	0.424930	+	0.0969875i	−0.00470763	+	0.999989i	$0.501498\pi$
$68$	−13.3455	+	1.50368i	−1.61838	+	0.182347i
$69$	−2.89678	+	2.02470i	−0.348731	+	0.243746i
$70$	−1.20117	+	1.20117i	−0.143567	+	0.143567i
$71$	−1.39053	−	6.09230i	−0.165025	−	0.723023i	−0.987937	−	0.154854i	$-0.950509\pi$
$71$	−1.39053	−	6.09230i	−0.165025	−	0.723023i	0.822912	−	0.568169i	$-0.192348\pi$
$72$	2.33319	+	1.16457i	0.274969	+	0.137246i
$73$	5.90904	−	2.06766i	0.691601	−	0.242002i	0.0384847	−	0.999259i	$-0.487747\pi$
$73$	5.90904	−	2.06766i	0.691601	−	0.242002i	0.653116	+	0.757257i	$0.273461\pi$
$74$	1.24057	−	0.283152i	0.144213	−	0.0329157i
$75$	−3.47707	+	1.41150i	−0.401498	+	0.162986i
$76$	−11.0376	−	6.93538i	−1.26610	−	0.795543i
$77$	−0.424921	−	3.77127i	−0.0484242	−	0.429777i
$78$	0.225355	−	0.312892i	0.0255164	−	0.0354280i
$79$	−3.31969	+	2.08590i	−0.373495	+	0.234682i	−0.705678	−	0.708533i	$-0.749358\pi$
$79$	−3.31969	+	2.08590i	−0.373495	+	0.234682i	0.332183	+	0.943215i	$0.392215\pi$
$80$	6.19579	+	7.76928i	0.692711	+	0.868632i
$81$	−4.13292	+	7.99494i	−0.459213	+	0.888326i
$82$	−1.94514	+	0.936731i	−0.214805	+	0.103445i
$83$	11.0348	+	8.79994i	1.21122	+	0.965919i	0.999934	−	0.0115042i	$-0.00366198\pi$
$83$	11.0348	+	8.79994i	1.21122	+	0.965919i	0.211290	+	0.977423i	$0.432233\pi$
$84$	−4.77711	+	8.50086i	−0.521226	+	0.927520i
$85$	−6.08439	+	17.3882i	−0.659945	+	1.88601i
$86$	−0.375276			−0.0404671
$87$	−9.27457	+	0.991171i	−0.994338	+	0.106265i
$88$	1.14356			0.121904
$89$	4.97161	−	14.2080i	0.526990	−	1.50605i	−0.305600	−	0.952160i	$-0.598857\pi$
$89$	4.97161	−	14.2080i	0.526990	−	1.50605i	0.832590	−	0.553890i	$-0.186857\pi$
$90$	1.39663	−	1.08179i	0.147218	−	0.114031i
$91$	2.28261	+	1.82032i	0.239283	+	0.190821i
$92$	3.58787	−	1.72783i	0.374062	−	0.180139i
$93$	−4.87985	−	5.53897i	−0.506017	−	0.574364i
$94$	0.587639	+	0.736877i	0.0606104	+	0.0760030i
$95$	−15.1404	+	9.51333i	−1.55337	+	0.976047i
$96$	−3.59093	−	2.58631i	−0.366498	−	0.263964i
$97$	0.395650	+	3.51149i	0.0401722	+	0.356538i	0.997677	+	0.0681209i	$0.0217004\pi$
$97$	0.395650	+	3.51149i	0.0401722	+	0.356538i	−0.957505	+	0.288417i	$0.906871\pi$
$98$	0.246145	+	0.154663i	0.0248644	+	0.0156233i
$99$	−0.0558652	+	3.94641i	−0.00561467	+	0.396630i
$100$	4.12234	−	0.940897i	0.412234	−	0.0940897i
$101$	9.47421	−	3.31517i	0.942719	−	0.329872i	0.185212	−	0.982699i	$-0.440703\pi$
$101$	9.47421	−	3.31517i	0.942719	−	0.329872i	0.757507	+	0.652827i	$0.226417\pi$
$102$	0.165528	−	2.61657i	0.0163897	−	0.259079i
$103$	−4.38222	−	19.1998i	−0.431793	−	1.89181i	−0.452007	−	0.892014i	$-0.649292\pi$
$103$	−4.38222	−	19.1998i	−0.431793	−	1.89181i	0.0202140	−	0.999796i	$-0.493565\pi$
$104$	−0.622063	+	0.622063i	−0.0609983	+	0.0609983i
$105$	7.66279	+	10.9633i	0.747812	+	1.06991i
$106$	−0.549820	+	0.0619498i	−0.0534032	+	0.00601710i
$107$	−10.5333	−	2.40416i	−1.01829	−	0.232419i	−0.319382	−	0.947626i	$-0.603475\pi$
$107$	−10.5333	−	2.40416i	−1.01829	−	0.232419i	−0.698912	+	0.715207i	$0.746332\pi$
$108$	6.04251	−	8.14406i	0.581440	−	0.783662i
$109$	−4.83556	+	3.85623i	−0.463163	+	0.369360i	−0.827092	−	0.562067i	$-0.810006\pi$
$109$	−4.83556	+	3.85623i	−0.463163	+	0.369360i	0.363929	+	0.931427i	$0.381435\pi$
$110$	0.336135	−	0.697991i	0.0320492	−	0.0665508i
$111$	−0.490988	−	10.0076i	−0.0466025	−	0.949876i
$112$	6.67641	−	8.37195i	0.630861	−	0.791075i
$113$	1.04721	−	9.29425i	0.0985133	−	0.874330i	−0.843128	−	0.537713i	$-0.819289\pi$
$113$	1.04721	−	9.29425i	0.0985133	−	0.874330i	0.941642	−	0.336617i	$-0.109283\pi$
$114$	1.70912	−	1.88548i	0.160074	−	0.176591i
$115$		−	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
$120$	−3.54123	+	1.92458i	−0.323268	+	0.175689i
$121$	−4.02175	−	8.35125i	−0.365614	−	0.759205i
$122$	−1.29865	−	0.625398i	−0.117574	−	0.0566208i
$123$	4.59042	+	16.3683i	0.413904	+	1.47588i
$124$	4.42529	+	7.04281i	0.397403	+	0.632463i
$125$	−1.68786	+	7.39500i	−0.150967	+	0.661429i
$126$	−1.47137	−	1.20784i	−0.131080	−	0.107603i
$127$	0.894911	−	1.42424i	0.0794105	−	0.126381i	−0.804658	−	0.593739i	$-0.797651\pi$
$127$	0.894911	−	1.42424i	0.0794105	−	0.126381i	0.884068	+	0.467358i	$0.154794\pi$
$128$	4.68061	+	4.68061i	0.413712	+	0.413712i
$129$	−0.515582	+	2.90964i	−0.0453944	+	0.256180i
$130$	0.196839	+	0.562535i	0.0172640	+	0.0493376i
$131$	−0.644520	−	1.84193i	−0.0563120	−	0.160930i	0.912291	−	0.409542i	$-0.134311\pi$
$131$	−0.644520	−	1.84193i	−0.0563120	−	0.160930i	−0.968603	+	0.248612i	$0.920026\pi$
$132$	0.775932	−	4.37891i	0.0675362	−	0.381135i
$133$	13.6247	+	13.6247i	1.18141	+	1.18141i
$134$	0.417521	−	0.664482i	0.0360684	−	0.0574025i
$135$	−6.46871	−	12.3148i	−0.556738	−	1.05989i
$136$	−1.33102	+	5.83157i	−0.114134	+	0.500053i
$137$	1.63370	+	2.60001i	0.139576	+	0.222134i	0.909196	−	0.416368i	$-0.136697\pi$
$137$	1.63370	+	2.60001i	0.139576	+	0.222134i	−0.769620	+	0.638502i	$0.779554\pi$
$138$	0.209924	+	0.748536i	0.0178699	+	0.0637196i
$139$	3.10527	+	1.49542i	0.263385	+	0.126840i	0.560916	−	0.827872i	$-0.310449\pi$
$139$	3.10527	+	1.49542i	0.263385	+	0.126840i	−0.297531	+	0.954712i	$0.596163\pi$
$140$	−6.53923	−	13.5788i	−0.552665	−	1.14762i
$141$	6.52059	−	3.54379i	0.549133	−	0.298441i
$142$	−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
$147$	1.53732	−	1.69595i	0.126796	−	0.139880i
$148$	−1.26405	+	11.2187i	−0.103904	+	0.922175i
$149$	−6.26162	+	7.85183i	−0.512972	+	0.643247i	−0.969100	−	0.246667i	$-0.920664\pi$
$149$	−6.26162	+	7.85183i	−0.512972	+	0.643247i	0.456128	+	0.889914i	$0.349236\pi$
$150$	0.0404498	+	0.824469i	0.00330272	+	0.0673176i
$151$	4.78111	−	9.92807i	0.389081	−	0.807935i	−0.610789	−	0.791793i	$-0.709148\pi$
$151$	4.78111	−	9.92807i	0.389081	−	0.807935i	0.999870	−	0.0161412i	$-0.00513812\pi$
$152$	−4.53926	+	3.61994i	−0.368182	+	0.293616i
$153$	−20.0597	−	4.87822i	−1.62173	−	0.394381i
$154$	−0.813877	−	0.185762i	−0.0655841	−	0.0149691i
$155$	11.3378	−	1.27746i	0.910671	−	0.102608i
$156$	1.95992	+	2.80409i	0.156919	+	0.224507i
$157$	−7.69482	+	7.69482i	−0.614113	+	0.614113i	−0.944015	−	0.329902i	$-0.892984\pi$
$157$	−7.69482	+	7.69482i	−0.614113	+	0.614113i	0.329902	+	0.944015i	$0.392984\pi$
$158$	0.191905	+	0.840790i	0.0152671	+	0.0668896i
$159$	−0.275064	+	4.34805i	−0.0218140	+	0.344823i
$160$	6.45598	−	2.25905i	0.510390	−	0.178593i
$161$	−5.73863	+	1.30981i	−0.452268	+	0.103227i
$162$	1.35968	+	1.43893i	0.106827	+	0.113053i
$163$	3.15694	+	1.98363i	0.247270	+	0.155370i	0.649965	−	0.759964i	$-0.274784\pi$
$163$	3.15694	+	1.98363i	0.247270	+	0.155370i	−0.402695	+	0.915334i	$0.631926\pi$
$164$	−2.14465	−	19.0343i	−0.167469	−	1.48633i
$165$	−4.94995	−	3.56512i	−0.385353	−	0.277544i
$166$	2.62876	−	1.65176i	0.204031	−	0.128201i
$167$	6.03087	+	7.56247i	0.466683	+	0.585201i	0.958355	−	0.285579i	$-0.0921858\pi$
$167$	6.03087	+	7.56247i	0.466683	+	0.585201i	−0.491673	+	0.870780i	$0.663614\pi$
$168$	2.87100	+	3.25877i	0.221502	+	0.251420i
$169$	−10.7897	+	5.19606i	−0.829979	+	0.399697i
$170$	3.16817	+	2.52653i	0.242987	+	0.193776i
$171$	−12.2706	−	15.8418i	−0.938359	−	1.21145i
$172$	1.09968	−	3.14271i	0.0838501	−	0.239630i
$173$	7.67695			0.583668			0.291834	−	0.956469i	$-0.405735\pi$
$173$	7.67695			0.583668			0.291834	+	0.956469i	$0.405735\pi$
$174$	−0.468013	+	1.99763i	−0.0354800	+	0.151440i
$175$	−6.25000			−0.472455
$176$	−1.61294	+	4.60951i	−0.121580	+	0.347455i
$177$	7.67506	−	13.6578i	0.576893	−	1.02658i
$178$	−2.58874	−	2.06445i	−0.194034	−	0.154737i
$179$	11.8006	−	5.68286i	0.882018	−	0.424757i	0.0626565	−	0.998035i	$-0.480043\pi$
$179$	11.8006	−	5.68286i	0.882018	−	0.424757i	0.819361	+	0.573278i	$0.194328\pi$
$180$	4.96677	+	14.8659i	0.370201	+	1.10804i
$181$	−8.76578	−	10.9919i	−0.651555	−	0.817024i	0.340840	−	0.940121i	$-0.389289\pi$
$181$	−8.76578	−	10.9919i	−0.651555	−	0.817024i	−0.992395	+	0.123097i	$0.960717\pi$
$182$	0.543775	−	0.341677i	0.0403073	−	0.0253268i
$183$	−6.63310	+	9.20966i	−0.490333	+	0.680798i
$184$	−0.198585	−	1.76249i	−0.0146399	−	0.129933i
$185$	13.1126	+	8.23918i	0.964056	+	0.605756i
$186$	−1.50455	+	0.610764i	−0.110319	+	0.0447834i
$187$	−8.82627	+	2.01454i	−0.645441	+	0.147318i
$188$	−7.89287	+	2.76184i	−0.575647	+	0.201428i
$189$	−11.3863	+	9.74860i	−0.828229	+	0.709106i
$190$	0.875234	+	3.83465i	0.0634962	+	0.278195i
$191$	−4.67144	+	4.67144i	−0.338013	+	0.338013i	−0.855619	−	0.517606i	$-0.826823\pi$
$191$	−4.67144	+	4.67144i	−0.338013	+	0.338013i	0.517606	+	0.855619i	$0.326823\pi$
$192$	9.74170	−	6.80897i	0.703047	−	0.491395i
$193$	5.48513	−	0.618026i	0.394828	−	0.0444865i	0.0876814	−	0.996149i	$-0.472054\pi$
$193$	5.48513	−	0.618026i	0.394828	−	0.0444865i	0.307147	+	0.951662i	$0.400626\pi$
$194$	0.757813	+	0.172966i	0.0544078	+	0.0124182i
$195$	4.63195	−	0.753311i	0.331701	−	0.0539457i
$196$	−2.01649	+	1.60810i	−0.144035	+	0.114864i
$197$	−7.21979	+	14.9920i	−0.514389	+	1.06814i	0.468419	+	0.883506i	$0.344824\pi$
$197$	−7.21979	+	14.9920i	−0.514389	+	1.06814i	−0.982808	+	0.184632i	$0.940891\pi$
$198$	0.815311	+	0.298309i	0.0579416	+	0.0211999i
$199$	−14.2739	+	17.8990i	−1.01185	+	1.26882i	−0.0489994	+	0.998799i	$0.515603\pi$
$199$	−14.2739	+	17.8990i	−1.01185	+	1.26882i	−0.962853	+	0.270024i	$0.912968\pi$
$200$	0.210858	−	1.87142i	0.0149099	−	0.132329i
$201$	−4.57833	−	4.15010i	−0.322930	−	0.292725i
$202$		−	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
$207$	6.09206	−	0.599215i	0.423427	−	0.0416484i
$208$	−1.63005	−	3.38483i	−0.113024	−	0.234696i
$209$	−7.91723	−	3.81274i	−0.547646	−	0.263732i
$210$	2.83294	−	0.794487i	0.195492	−	0.0548248i
$211$	9.84877	+	15.6742i	0.678017	+	1.07906i	0.991581	+	0.129491i	$0.0413343\pi$
$211$	9.84877	+	15.6742i	0.678017	+	1.07906i	−0.313564	+	0.949567i	$0.601523\pi$
$212$	1.09236	−	4.78594i	0.0750236	−	0.328700i
$213$	−3.06988	+	10.3791i	−0.210344	+	0.711162i
$214$	−1.26441	+	2.01230i	−0.0864335	+	0.137558i
$215$	−3.22949	−	3.22949i	−0.220249	−	0.220249i
$216$	−2.53485	−	3.73825i	−0.172475	−	0.254356i
$217$	−4.06063	−	11.6046i	−0.275654	−	0.787773i
$218$	0.449338	+	1.28414i	0.0304330	+	0.0869726i
$219$	−10.6769	−	1.89192i	−0.721480	−	0.127844i
$220$	4.86027	+	4.86027i	0.327679	+	0.327679i
$221$	3.70539	−	5.89709i	0.249251	−	0.396681i
$222$	−2.11348	−	0.625116i	−0.141847	−	0.0419550i
$223$	2.38416	−	10.4457i	0.159655	−	0.699494i	−0.830206	−	0.557456i	$-0.811777\pi$
$223$	2.38416	−	10.4457i	0.159655	−	0.699494i	0.989861	−	0.142038i	$-0.0453654\pi$
$224$	−3.92128	−	6.24068i	−0.262002	−	0.416973i
$225$	6.44796	+	0.819094i	0.429864	+	0.0546063i
$226$	−1.85363	−	0.892660i	−0.123301	−	0.0593789i
$227$	3.20979	+	6.66520i	0.213041	+	0.442385i	0.979916	−	0.199412i	$-0.0639033\pi$
$227$	3.20979	+	6.66520i	0.213041	+	0.442385i	−0.766874	+	0.641797i	$0.778189\pi$
$228$	10.7815	+	19.8379i	0.714020	+	1.31380i
$229$	25.7022	+	2.89594i	1.69845	+	0.191369i	0.907366	−	0.420342i	$-0.138090\pi$
$229$	25.7022	+	2.89594i	1.69845	+	0.191369i	0.791081	+	0.611711i	$0.209519\pi$
$230$	−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	$-0.237879\pi$
$234$	−0.605777	+	0.281234i	−0.0396009	+	0.0183849i
$235$	−1.28428	+	11.3983i	−0.0837771	+	0.743543i
$236$	−11.0062	+	13.8013i	−0.716441	+	0.898388i
$237$	6.78257	−	0.332764i	0.440576	−	0.0216154i
$238$	1.89459	−	3.93415i	0.122808	−	0.255013i
$239$	−3.19218	+	2.54568i	−0.206485	+	0.164666i	−0.721272	−	0.692652i	$-0.756442\pi$
$239$	−3.19218	+	2.54568i	−0.206485	+	0.164666i	0.514787	+	0.857318i	$0.327871\pi$
$240$	−2.76293	−	16.9887i	−0.178346	−	1.09661i
$241$	21.0662	+	4.80823i	1.35699	+	0.309725i	0.838288	−	0.545228i	$-0.183557\pi$
$241$	21.0662	+	4.80823i	1.35699	+	0.309725i	0.518706	+	0.854953i	$0.326414\pi$
$242$	−2.02610	+	0.228287i	−0.130243	+	0.0146748i
$243$	13.0245	−	8.56515i	0.835524	−	0.549454i
$244$	9.04280	−	9.04280i	0.578906	−	0.578906i
$245$	0.787258	+	3.44920i	0.0502960	+	0.220361i
$246$	3.73194	+	0.236089i	0.237940	+	0.0150525i
$247$	6.38076	−	2.23273i	0.405998	−	0.142065i
$248$	3.61174	−	0.824355i	0.229345	−	0.0523466i
$249$	−9.19507	−	22.6510i	−0.582714	−	1.43545i
$250$	1.41275	+	0.887691i	0.0893503	+	0.0561425i
$251$	0.714056	+	6.33742i	0.0450708	+	0.400015i	0.995912	+	0.0903342i	$0.0287935\pi$
$251$	0.714056	+	6.33742i	0.0450708	+	0.400015i	−0.950841	+	0.309680i	$0.899778\pi$
$252$	14.4265	−	8.78246i	0.908787	−	0.553243i
$253$	2.27301	−	1.42822i	0.142903	−	0.0897917i
$254$	−0.230691	−	0.289277i	−0.0144748	−	0.0181509i
$255$	23.9417	−	21.0927i	1.49929	−	1.32088i
$256$	−11.0531	+	5.32290i	−0.690820	+	0.332681i
$257$	−10.9093	−	8.69991i	−0.680506	−	0.542685i	0.221096	−	0.975252i	$-0.429037\pi$
$257$	−10.9093	−	8.69991i	−0.680506	−	0.542685i	−0.901602	+	0.432567i	$0.857608\pi$
$258$	0.566654	+	0.318435i	0.0352783	+	0.0198249i
$259$	5.51154	−	15.7511i	0.342471	−	0.978725i
$260$	−5.28769			−0.327929
$261$	14.8453	+	6.37315i	0.918901	+	0.394488i
$262$	−0.429254			−0.0265194
$263$	−3.22343	+	9.21203i	−0.198765	+	0.568038i	−0.999521	−	0.0309528i	$-0.990146\pi$
$263$	−3.22343	+	9.21203i	−0.198765	+	0.568038i	0.800756	+	0.598991i	$0.204432\pi$
$264$	−1.72673	−	0.970348i	−0.106273	−	0.0597208i
$265$	−5.26466	−	4.19843i	−0.323406	−	0.257907i
$266$	3.81865	−	1.83896i	0.234136	−	0.112754i
$267$	−19.5630	+	17.2351i	−1.19723	+	1.05477i
$268$	4.34116	+	5.44364i	0.265178	+	0.332523i
$269$	−5.09140	+	3.19914i	−0.310428	+	0.195055i	−0.678231	−	0.734849i	$-0.737253\pi$
$269$	−5.09140	+	3.19914i	−0.310428	+	0.195055i	0.367803	+	0.929904i	$0.380110\pi$
$270$	−3.02680	+	0.448380i	−0.184205	+	0.0272875i
$271$	0.418314	+	3.71264i	0.0254108	+	0.225527i	0.999999	+	0.00152214i	$0.000484512\pi$
$271$	0.418314	+	3.71264i	0.0254108	+	0.225527i	−0.974588	+	0.224005i	$0.928087\pi$
$272$	−21.6288	−	13.5903i	−1.31144	−	0.824032i
$273$	−1.90206	−	4.68549i	−0.115118	−	0.283579i
$274$	0.658514	−	0.150302i	0.0397823	−	0.00908005i
$275$	2.69042	−	0.941419i	0.162239	−	0.0567697i
$276$	−6.88368	−	0.435472i	−0.414349	−	0.0262124i
$277$	3.70297	+	16.2238i	0.222490	+	0.974792i	0.955596	+	0.294678i	$0.0952125\pi$
$277$	3.70297	+	16.2238i	0.222490	+	0.974792i	−0.733107	+	0.680114i	$0.761930\pi$
$278$	0.536084	−	0.536084i	0.0321522	−	0.0321522i
$279$	2.66841	+	12.5044i	0.159753	+	0.748616i
$280$	−6.67042	+	0.751575i	−0.398634	+	0.0449152i
$281$	0.869591	+	0.198479i	0.0518755	+	0.0118402i	0.248380	−	0.968663i	$-0.420102\pi$
$281$	0.869591	+	0.198479i	0.0518755	+	0.0118402i	−0.196504	+	0.980503i	$0.562959\pi$
$282$	−0.262050	−	1.61129i	−0.0156048	−	0.0959508i
$283$	−7.70735	+	6.14640i	−0.458154	+	0.365366i	−0.825203	−	0.564836i	$-0.808940\pi$
$283$	−7.70735	+	6.14640i	−0.458154	+	0.365366i	0.367049	+	0.930202i	$0.380368\pi$
$284$	5.29147	−	10.9879i	0.313991	−	0.652009i
$285$	30.9338	−	1.51766i	1.83236	−	0.0898987i
$286$	−0.182612	+	0.228988i	−0.0107981	+	0.0135403i
$287$	−3.17005	+	28.1350i	−0.187122	+	1.66075i
$288$	3.22761	+	6.95225i	0.190189	+	0.409666i
$289$		−	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	$-0.498434\pi$
$293$	−3.64260	−	0.410422i	−0.212803	−	0.0239771i	−0.217722	+	0.976011i	$0.569863\pi$
$294$	−0.240433	−	0.442397i	−0.0140223	−	0.0258011i
$295$	10.5061	+	21.8162i	0.611690	+	1.27019i
$296$	4.53036	+	2.18171i	0.263322	+	0.126809i
$297$	3.43302	−	5.91154i	0.199204	−	0.343022i
$298$	1.17531	+	1.87050i	0.0680842	+	0.108355i
$299$	−0.459537	+	2.01336i	−0.0265757	+	0.116436i
$300$	−7.02296	−	2.07722i	−0.405471	−	0.119928i
$301$	−2.61838	+	4.16713i	−0.150921	+	0.240189i
$302$	−1.71395	−	1.71395i	−0.0986269	−	0.0986269i
$303$	−17.1188	−	3.03340i	−0.983446	−	0.174264i
$304$	−8.18899	−	23.4028i	−0.469671	−	1.34224i
$305$	−5.79377	−	16.5576i	−0.331750	−	0.948088i
$306$	−2.47019	+	3.81047i	−0.141211	+	0.217830i
$307$	0.165484	+	0.165484i	0.00944470	+	0.00944470i	0.711813	−	0.702369i	$-0.247874\pi$
$307$	0.165484	+	0.165484i	0.00944470	+	0.00944470i	−0.702369	+	0.711813i	$0.747874\pi$
$308$	3.94057	−	6.27139i	0.224535	−	0.357345i
$309$	−9.67466	+	32.7094i	−0.550372	+	1.86077i
$310$	0.558465	−	2.44680i	0.0317187	−	0.138969i
$311$	6.46040	+	10.2817i	0.366335	+	0.583019i	0.978129	−	0.207998i	$-0.0666947\pi$
$311$	6.46040	+	10.2817i	0.366335	+	0.583019i	−0.611794	+	0.791017i	$0.709552\pi$
$312$	1.46713	−	0.411451i	0.0830601	−	0.0232938i
$313$	−12.8985	−	6.21159i	−0.729067	−	0.351100i	0.0322503	−	0.999480i	$-0.489733\pi$
$313$	−12.8985	−	6.21159i	−0.729067	−	0.351100i	−0.761317	+	0.648380i	$0.775447\pi$
$314$	1.03859	+	2.15666i	0.0586112	+	0.121707i
$315$	−2.26782	−	23.0563i	−0.127777	−	1.29907i
$316$	−7.60345	−	0.856703i	−0.427727	−	0.0481933i
$317$	−7.24726	−	2.53593i	−0.407047	−	0.142432i	0.118986	−	0.992896i	$-0.462036\pi$
$317$	−7.24726	−	2.53593i	−0.407047	−	0.142432i	−0.526033	+	0.850464i	$0.676321\pi$
$318$	0.882775	+	0.372999i	0.0495036	+	0.0209167i
$319$	7.07306	−	0.406747i	0.396015	−	0.0227735i
$320$			18.3700i			1.02692i
$321$	13.8649	+	12.5681i	0.773864	+	0.701481i
$322$	−0.144969	+	1.28664i	−0.00807881	+	0.0717014i
$323$	28.6581	−	35.9361i	1.59458	−	1.99954i
$324$	−16.0345	+	7.16996i	−0.890804	+	0.398331i
$325$	−0.951407	+	1.97562i	−0.0527746	+	0.109588i
$326$	0.641203	−	0.511343i	0.0355130	−	0.0283206i
$327$	10.5737	−	1.71963i	0.584725	−	0.0950959i
$328$	−8.31742	−	1.89840i	−0.459253	−	0.104821i
$329$	12.2825	−	1.38390i	0.677155	−	0.0762970i
$330$	−1.09982	+	0.768720i	−0.0605431	+	0.0423166i
$331$	−10.6316	+	10.6316i	−0.584365	+	0.584365i	−0.936100	−	0.351735i	$-0.885592\pi$
$331$	−10.6316	+	10.6316i	−0.584365	+	0.584365i	0.351735	+	0.936100i	$0.385592\pi$
$332$	6.12936	+	26.8545i	0.336392	+	1.47383i
$333$	−7.75038	+	15.5277i	−0.424718	+	0.850911i
$334$	2.00830	−	0.702733i	0.109889	−	0.0384518i
$335$	9.31131	−	2.12525i	0.508731	−	0.116115i
$336$	−17.1850	+	6.97619i	−0.937520	+	0.380582i
$337$	−14.4238	−	9.06307i	−0.785714	−	0.493697i	0.0784435	−	0.996919i	$-0.475005\pi$
$337$	−14.4238	−	9.06307i	−0.785714	−	0.493697i	−0.864157	+	0.503222i	$0.832148\pi$
$338$	0.294944	+	2.61770i	0.0160428	+	0.142384i
$339$	−9.46774	+	13.1454i	−0.514217	+	0.713960i
$340$	−30.4419	+	19.1279i	−1.65095	+	1.03736i
$341$	3.49594	+	4.38378i	0.189316	+	0.237395i
$342$	−4.18061	+	1.39676i	−0.226061	+	0.0755280i
$343$	−14.7585	+	7.10730i	−0.796881	+	0.383758i
$344$	−1.15942	−	0.924603i	−0.0625115	−	0.0498512i
$345$	−4.63510	+	8.24815i	−0.249545	+	0.444065i
$346$	0.557736	−	1.59392i	0.0299841	−	0.0856896i
$347$	21.7270			1.16637			0.583183	−	0.812340i	$-0.301807\pi$
$347$	21.7270			1.16637			0.583183	+	0.812340i	$0.301807\pi$
$348$	−15.3575	−	9.77304i	−0.823249	−	0.523890i
$349$	−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
$351$	1.34824	+	5.08317i	0.0719639	+	0.271320i
$352$	2.62800	+	2.09576i	0.140073	+	0.111704i
$353$	−25.9226	+	12.4837i	−1.37972	+	0.664439i	−0.968940	−	0.247294i	$-0.920459\pi$
$353$	−25.9226	+	12.4837i	−1.37972	+	0.664439i	−0.410782	+	0.911733i	$0.634744\pi$
$354$	−2.27808	−	2.58577i	−0.121078	−	0.137432i
$355$	−10.4302	−	13.0791i	−0.553580	−	0.694168i
$356$	24.8744	−	15.6296i	1.31834	−	0.828367i
$357$	−27.8999	−	20.0944i	−1.47662	−	1.06351i
$358$	−0.322577	−	2.86295i	−0.0170487	−	0.151311i
$359$	−6.11673	−	3.84340i	−0.322829	−	0.202847i	0.360861	−	0.932620i	$-0.382483\pi$
$359$	−6.11673	−	3.84340i	−0.322829	−	0.202847i	−0.683690	+	0.729773i	$0.739626\pi$
$360$	6.98019	+	0.0988112i	0.367888	+	0.00520781i
$361$	24.9724	−	5.69978i	1.31434	−	0.299988i
$362$	−2.91903	+	1.02141i	−0.153421	+	0.0536842i
$363$	−1.01362	+	16.0227i	−0.0532012	+	0.840972i
$364$	1.26790	+	5.55501i	0.0664558	+	0.291162i
$365$	11.8506	−	11.8506i	0.620288	−	0.620288i
$366$	1.43025	+	2.04628i	0.0747601	+	0.106961i
$367$	34.7450	−	3.91482i	1.81367	−	0.204352i	0.861053	−	0.508515i	$-0.169805\pi$
$367$	34.7450	−	3.91482i	1.81367	−	0.204352i	0.952620	+	0.304163i	$0.0983769\pi$
$368$	7.38443	+	1.68545i	0.384940	+	0.0878601i
$369$	6.95768	−	28.6106i	0.362203	−	1.48941i
$370$	2.66329	−	2.12390i	0.138458	−	0.110416i
$371$	−3.14831	+	6.53753i	−0.163452	+	0.339411i
$372$	−0.705968	−	14.3894i	−0.0366027	−	0.746056i
$373$	0.818330	−	1.02615i	0.0423715	−	0.0531322i	−0.760194	−	0.649696i	$-0.774896\pi$
$373$	0.818330	−	1.02615i	0.0423715	−	0.0531322i	0.802566	+	0.596564i	$0.203468\pi$
$374$	−0.222969	+	1.97890i	−0.0115294	+	0.102327i
$375$	8.82351	−	9.73397i	0.455644	−	0.502660i
$376$			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	0.543539	−	0.839384i	$-0.317084\pi$
$379$	8.66610	+	3.03240i	0.445148	+	0.155764i	−0.0983912	+	0.995148i	$0.531370\pi$
$380$	−34.6776	−	3.90723i	−1.77892	−	0.200437i
$381$	−2.55980	+	1.39119i	−0.131143	+	0.0712730i
$382$	0.630518	+	1.30928i	0.0322601	+	0.0669888i
$383$	21.4111	+	10.3111i	1.09406	+	0.526871i	0.891786	−	0.452458i	$-0.149453\pi$
$383$	21.4111	+	10.3111i	1.09406	+	0.526871i	0.202273	+	0.979329i	$0.435167\pi$
$384$	−3.09590	−	11.0392i	−0.157987	−	0.563343i
$385$	−5.40532	−	8.60252i	−0.275481	−	0.438425i
$386$	0.270182	−	1.18374i	0.0137519	−	0.0602510i
$387$	3.24744	−	3.95597i	0.165077	−	0.201093i
$388$	−3.66913	+	5.83938i	−0.186272	+	0.296450i
$389$	−16.6428	−	16.6428i	−0.843826	−	0.843826i	0.145528	−	0.989354i	$-0.453512\pi$
$389$	−16.6428	−	16.6428i	−0.843826	−	0.843826i	−0.989354	+	0.145528i	$0.953512\pi$
$390$	0.180109	−	1.01643i	0.00912019	−	0.0514690i
$391$	4.63761	+	13.2535i	0.234534	+	0.670260i
$392$	0.379406	+	1.08428i	0.0191629	+	0.0547644i
$393$	−0.589739	+	3.32815i	−0.0297484	+	0.167883i
$394$	2.58818	+	2.58818i	0.130391	+	0.130391i
$395$	−5.58406	+	8.88698i	−0.280965	+	0.447153i
$396$	−4.88728	+	5.95359i	−0.245595	+	0.299179i
$397$	−3.81871	+	16.7309i	−0.191656	+	0.839699i	0.784065	+	0.620679i	$0.213143\pi$
$397$	−3.81871	+	16.7309i	−0.191656	+	0.839699i	−0.975720	+	0.219020i	$0.929714\pi$
$398$	2.67924	+	4.26398i	0.134298	+	0.213734i
$399$	−9.01177	−	32.1338i	−0.451153	−	1.60870i
$400$	7.24599	+	3.48949i	0.362300	+	0.174474i
$401$	11.1526	+	23.1586i	0.556933	+	1.15648i	0.969394	+	0.245509i	$0.0789550\pi$
$401$	11.1526	+	23.1586i	0.556933	+	1.15648i	−0.412461	+	0.910975i	$0.635331\pi$
$402$	−1.19428	+	0.649062i	−0.0595651	+	0.0323723i
$403$	−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
$408$	6.95807	−	7.67605i	0.344476	−	0.380021i
$409$	1.14584	−	10.1696i	0.0566581	−	0.502855i	−0.933049	−	0.359749i	$-0.882862\pi$
$409$	1.14584	−	10.1696i	0.0566581	−	0.502855i	0.989707	−	0.143106i	$-0.0457090\pi$
$410$	−3.60352	+	4.51868i	−0.177965	+	0.223162i
$411$	−0.260624	−	5.31218i	−0.0128556	−	0.262030i
$412$	16.6760	−	34.6280i	0.821566	−	1.70600i
$413$	20.3999	−	16.2684i	1.00381	−	0.800516i
$414$	0.318181	−	1.30839i	0.0156377	−	0.0643038i
$415$	36.8366	+	8.40771i	1.80824	+	0.412718i
$416$	−2.56959	+	0.289523i	−0.125985	+	0.0141951i
$417$	−3.41993	−	4.89295i	−0.167475	−	0.239609i
$418$	−1.36681	+	1.36681i	−0.0668527	+	0.0668527i
$419$	−5.07657	−	22.2419i	−0.248006	−	1.08659i	−0.933519	−	0.358527i	$-0.883279\pi$
$419$	−5.07657	−	22.2419i	−0.248006	−	1.08659i	0.685513	−	0.728060i	$-0.259578\pi$
$420$	−1.64811	+	26.0523i	−0.0804195	+	1.27122i
$421$	5.91461	−	2.06961i	0.288260	−	0.100867i	−0.182276	−	0.983247i	$-0.558346\pi$
$421$	5.91461	−	2.06961i	0.288260	−	0.100867i	0.470536	+	0.882381i	$0.344061\pi$
$422$	3.96986	−	0.906095i	0.193250	−	0.0441080i
$423$	−12.8529	−	0.181945i	−0.624929	−	0.00884645i
$424$	−1.85130	−	1.16325i	−0.0899070	−	0.0564923i
$425$	1.66931	+	14.8155i	0.0809735	+	0.718659i
$426$	1.93191	+	1.39143i	0.0936015	+	0.0674148i
$427$	−16.0055	+	10.0569i	−0.774559	+	0.486688i
$428$	−13.1467	−	16.4854i	−0.635469	−	0.796852i
$429$	1.52454	+	1.73045i	0.0736053	+	0.0835470i
$430$	−0.905144	+	0.435894i	−0.0436499	+	0.0210207i
$431$	−23.3025	−	18.5831i	−1.12244	−	0.895119i	−0.127136	−	0.991885i	$-0.540579\pi$
$431$	−23.3025	−	18.5831i	−1.12244	−	0.895119i	−0.995307	+	0.0967666i	$0.969150\pi$
$432$	18.6436	−	4.94497i	0.896991	−	0.237915i
$433$	−9.20992	+	26.3204i	−0.442600	+	1.26488i	0.479368	+	0.877614i	$0.340866\pi$
$433$	−9.20992	+	26.3204i	−0.442600	+	1.26488i	−0.921968	+	0.387265i	$0.873420\pi$
$434$	−2.70440			−0.129816
$435$	−21.2184	+	13.1633i	−1.01734	+	0.631133i
$436$	−12.0706			−0.578075
$437$	−4.50146	+	12.8644i	−0.215334	+	0.615389i
$438$	−1.16849	+	2.07933i	−0.0558328	+	0.0993544i
$439$	19.3224	+	15.4091i	0.922210	+	0.735438i	0.964615	−	0.263662i	$-0.0849305\pi$
$439$	19.3224	+	15.4091i	0.922210	+	0.735438i	−0.0424048	+	0.999101i	$0.513502\pi$
$440$	2.75819	−	1.32827i	0.131492	−	0.0633230i
$441$	−3.76038	+	1.25636i	−0.179066	+	0.0598266i
$442$	−0.955177	−	1.19775i	−0.0454331	−	0.0569714i
$443$	17.4508	−	10.9651i	0.829114	−	0.520967i	−0.0493462	−	0.998782i	$-0.515714\pi$
$443$	17.4508	−	10.9651i	0.829114	−	0.520967i	0.878461	+	0.477815i	$0.158571\pi$
$444$	11.4282	−	15.8673i	0.542356	−	0.753029i
$445$	−4.51183	−	40.0436i	−0.213881	−	1.89825i
$446$	−1.99556	−	1.25389i	−0.0944924	−	0.0593735i
$447$	16.1174	−	6.54278i	0.762325	−	0.309463i
$448$	19.2987	−	4.40481i	0.911779	−	0.208107i
$449$	11.7738	−	4.11985i	0.555642	−	0.194428i	−0.0378270	−	0.999284i	$-0.512044\pi$
$449$	11.7738	−	4.11985i	0.555642	−	0.194428i	0.593469	+	0.804857i	$0.297758\pi$
$450$	0.638512	−	1.27924i	0.0300997	−	0.0603040i
$451$	−2.87329	−	12.5887i	−0.135298	−	0.592778i
$452$	12.9072	−	12.9072i	0.607105	−	0.607105i
$453$	−15.6436	+	10.9341i	−0.735000	+	0.513729i
$454$	1.61705	−	0.182198i	0.0758919	−	0.00855096i
$455$	7.61987	+	1.73919i	0.357225	+	0.0815343i
$456$	9.92575	−	1.61426i	0.464816	−	0.0755947i
$457$	−6.94711	+	5.54014i	−0.324972	+	0.259157i	−0.772362	−	0.635182i	$-0.780925\pi$
$457$	−6.94711	+	5.54014i	−0.324972	+	0.259157i	0.447390	+	0.894339i	$0.352354\pi$
$458$	2.46855	−	5.12599i	0.115348	−	0.239522i
$459$	26.1501	+	24.3873i	1.22058	+	1.13830i
$460$	6.64681	−	8.33483i	0.309909	−	0.388614i
$461$	2.59507	−	23.0319i	0.120864	−	1.07270i	−0.776103	−	0.630606i	$-0.782807\pi$
$461$	2.59507	−	23.0319i	0.120864	−	1.07270i	0.896968	−	0.442096i	$-0.145765\pi$
$462$	1.07130	+	0.971096i	0.0498414	+	0.0451795i
$463$		−	3.24899i		−	0.150994i	−0.997146	−	0.0754968i	$-0.975946\pi$
$463$		−	3.24899i		−	0.150994i	0.997146	−	0.0754968i	$-0.0240543\pi$
$464$	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	$-0.634092\pi$
$467$	−21.8401	−	2.46079i	−1.01064	−	0.113872i	−0.601727	+	0.798702i	$0.705520\pi$
$468$	−0.580042	−	5.89713i	−0.0268125	−	0.272595i
$469$	−4.46538	−	9.27245i	−0.206192	−	0.428162i
$470$	2.27325	+	1.09474i	0.104857	+	0.0504966i
$471$	18.1482	−	5.08958i	0.836225	−	0.234516i
$472$	4.18296	+	6.65715i	0.192536	+	0.306420i
$473$	0.499446	−	2.18822i	0.0229645	−	0.100614i
$474$	0.423669	−	1.43240i	0.0194598	−	0.0657923i
$475$	−7.69934	+	12.2534i	−0.353270	+	0.562226i
$476$	27.3944	+	27.3944i	1.25562	+	1.25562i
$477$	4.10480	−	6.33200i	0.187946	−	0.289922i
$478$	0.296629	+	0.847718i	0.0135675	+	0.0387737i
$479$	1.77297	+	5.06684i	0.0810088	+	0.231510i	0.977263	−	0.212031i	$-0.0680078\pi$
$479$	1.77297	+	5.06684i	0.0810088	+	0.231510i	−0.896254	+	0.443541i	$0.853722\pi$
$480$	−11.6652	−	2.06704i	−0.532440	−	0.0943470i
$481$	−4.13991	−	4.13991i	−0.188764	−	0.188764i
$482$	2.52878	−	4.02453i	0.115183	−	0.183312i
$483$	9.77654	+	2.89166i	0.444848	+	0.131575i
$484$	4.02538	−	17.6363i	0.182972	−	0.801651i
$485$	5.03298	+	8.00994i	0.228536	+	0.363713i
$486$	−0.832087	−	3.32647i	−0.0377442	−	0.150892i
$487$	−29.6790	−	14.2926i	−1.34488	−	0.647661i	−0.383670	−	0.923470i	$-0.625340\pi$
$487$	−29.6790	−	14.2926i	−1.34488	−	0.647661i	−0.961212	+	0.275809i	$0.911054\pi$
$488$	−2.47133	−	5.13177i	−0.111872	−	0.232304i
$489$	−3.08368	−	5.67398i	−0.139449	−	0.256586i
$490$	0.773331	+	0.0871335i	0.0349355	+	0.00393629i
$491$	−9.43922	−	3.30293i	−0.425986	−	0.149059i	0.108767	−	0.994067i	$-0.465310\pi$
$491$	−9.43922	−	3.30293i	−0.425986	−	0.149059i	−0.534753	+	0.845008i	$0.679595\pi$
$492$	−12.9129	+	30.5610i	−0.582159	+	1.37779i
$493$	−6.15831	+	36.5424i	−0.277356	+	1.64579i
$494$		−	1.48701i		−	0.0669036i
$495$	4.44913	+	9.58340i	0.199973	+	0.430742i
$496$	−1.77134	+	15.7211i	−0.0795354	+	0.705897i
$497$	−11.2393	+	14.0937i	−0.504153	+	0.632188i
$498$	−5.37091	+	0.263506i	−0.240676	+	0.0118080i
$499$	6.36673	−	13.2206i	0.285014	−	0.591837i	−0.708479	−	0.705732i	$-0.750618\pi$
$499$	6.36673	−	13.2206i	0.285014	−	0.591837i	0.993493	+	0.113895i	$0.0363326\pi$
$500$	−11.5737	+	9.22973i	−0.517592	+	0.412766i
$501$	−2.68938	−	16.5364i	−0.120153	−	0.738794i
$502$	1.36768	+	0.312163i	0.0610424	+	0.0139325i
$503$	3.39191	−	0.382177i	0.151238	−	0.0170404i	−0.0360209	−	0.999351i	$-0.511468\pi$
$503$	3.39191	−	0.382177i	0.151238	−	0.0170404i	0.187259	+	0.982311i	$0.440040\pi$
$504$	−1.56992	−	7.35677i	−0.0699298	−	0.327697i
$505$	19.0005	−	19.0005i	0.845513	−	0.845513i
$506$	−0.131398	−	0.575691i	−0.00584134	−	0.0255926i
$507$	20.7011	+	1.30959i	0.919369	+	0.0581607i
$508$	3.09852	−	1.08422i	0.137475	−	0.0481045i
$509$	−0.266921	+	0.0609230i	−0.0118311	+	0.00270036i	−0.228432	−	0.973560i	$-0.573360\pi$
$509$	−0.266921	+	0.0609230i	−0.0118311	+	0.00270036i	0.216601	+	0.976260i	$0.430503\pi$
$510$	−2.63997	−	6.50326i	−0.116900	−	0.287969i
$511$	−15.2913	−	9.60814i	−0.676446	−	0.425039i
$512$	1.78442	+	15.8371i	0.0788608	+	0.699909i
$513$	5.08592	+	34.3326i	0.224549	+	1.51582i
$514$	−2.59888	+	1.63298i	−0.114632	+	0.0720278i
$515$	−32.8707	−	41.2186i	−1.44846	−	1.81631i
$516$	−4.32718	+	3.81227i	−0.190494	+	0.167826i
$517$	−5.07876	+	2.44580i	−0.223364	+	0.107566i
$518$	−2.86988	−	2.28866i	−0.126095	−	0.100558i
$519$	−11.5919	−	6.51415i	−0.508829	−	0.285940i
$520$	−0.777834	+	2.22292i	−0.0341103	+	0.0974815i
$521$	−41.1751			−1.80392			−0.901958	−	0.431824i	$-0.857870\pi$
$521$	−41.1751			−1.80392			−0.901958	+	0.431824i	$0.857870\pi$
$522$	2.40174	−	2.61922i	0.105121	−	0.114640i
$523$	−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
$525$	9.43727	+	5.30333i	0.411876	+	0.231456i
$526$	1.67845	+	1.33852i	0.0731840	+	0.0583623i
$527$	−26.4241	+	12.7252i	−1.15105	+	0.554317i
$528$	6.34680	−	5.59156i	0.276209	−	0.243341i
$529$	11.7443	+	14.7269i	0.510622	+	0.640300i
$530$	−1.25418	+	0.788050i	−0.0544779	+	0.0342307i
$531$	−23.1781	+	14.1102i	−1.00585	+	0.612329i
$532$	4.21032	+	37.3676i	0.182541	+	1.62009i
$533$	8.41087	+	5.28490i	0.364315	+	0.228914i
$534$	2.15715	+	5.31387i	0.0933488	+	0.229954i
$535$	−28.1982	+	6.43606i	−1.21911	+	0.278255i
$536$	2.92707	−	1.02423i	0.126430	−	0.0442399i
$537$	−22.6406	−	1.43228i	−0.977013	−	0.0618073i
$538$	0.294323	+	1.28951i	0.0126892	+	0.0555949i
$539$	−1.22942	+	1.22942i	−0.0529548	+	0.0529548i
$540$	5.11460	−	26.6615i	0.220097	−	1.14733i
$541$	13.3034	−	1.49893i	0.571957	−	0.0644440i	0.178751	−	0.983894i	$-0.442794\pi$
$541$	13.3034	−	1.49893i	0.571957	−	0.0644440i	0.393206	+	0.919450i	$0.371366\pi$
$542$	0.801223	+	0.182874i	0.0344155	+	0.00785511i
$543$	3.90898	+	24.0355i	0.167750	+	1.03146i
$544$	−13.7461	+	10.9622i	−0.589361	+	0.469999i
$545$	−7.18395	+	14.9176i	−0.307727	+	0.639001i
$546$	−1.11100	+	0.0545078i	−0.0475466	+	0.00233272i
$547$	−0.199715	+	0.250435i	−0.00853921	+	0.0107078i	−0.786083	−	0.618121i	$-0.787894\pi$
$547$	−0.199715	+	0.250435i	−0.00853921	+	0.0107078i	0.777544	+	0.628829i	$0.216465\pi$
$548$	−0.670978	+	5.95509i	−0.0286627	+	0.254389i
$549$	17.8304	−	8.27785i	0.760985	−	0.353290i
$550$		−	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
$555$	−12.8083	−	23.5673i	−0.543682	−	1.00038i
$556$	2.91848	+	6.06028i	0.123771	+	0.257013i
$557$	21.6438	+	10.4231i	0.917075	+	0.441640i	0.832026	−	0.554737i	$-0.187181\pi$
$557$	21.6438	+	10.4231i	0.917075	+	0.441640i	0.0850493	+	0.996377i	$0.472895\pi$
$558$	2.79006	+	0.354426i	0.118113	+	0.0150040i
$559$	0.918642	+	1.46201i	0.0388544	+	0.0618365i
$560$	6.37883	−	27.9475i	0.269555	−	1.18100i
$561$	15.0368	+	4.44751i	0.634852	+	0.187774i
$562$	0.104385	−	0.166128i	0.00440323	−	0.00700770i
$563$	27.3242	+	27.3242i	1.15158	+	1.15158i	0.986237	+	0.165340i	$0.0528720\pi$
$563$	27.3242	+	27.3242i	1.15158	+	1.15158i	0.165340	+	0.986237i	$0.447128\pi$
$564$	14.2615	+	2.52710i	0.600516	+	0.106410i
$565$	−8.26973	−	23.6335i	−0.347910	−	0.994270i
$566$	0.716196	+	2.04677i	0.0301039	+	0.0860321i
$567$	25.4649	−	5.05839i	1.06942	−	0.212433i
$568$	−3.84085	−	3.84085i	−0.161158	−	0.161158i
$569$	−10.0159	+	15.9403i	−0.419890	+	0.668251i	−0.987957	−	0.154732i	$-0.950549\pi$
$569$	−10.0159	+	15.9403i	−0.419890	+	0.668251i	0.568067	+	0.822983i	$0.307692\pi$
$570$	1.93226	−	6.53285i	0.0809334	−	0.273631i
$571$	4.74899	−	20.8067i	0.198739	−	0.870733i	−0.772950	−	0.634468i	$-0.781219\pi$
$571$	4.74899	−	20.8067i	0.198739	−	0.870733i	0.971689	−	0.236265i	$-0.0759234\pi$
$572$	−1.38252	−	2.20027i	−0.0578062	−	0.0919981i
$573$	11.0176	−	3.08983i	0.460266	−	0.129079i
$574$	5.61118	+	2.70220i	0.234206	+	0.112788i
$575$	−1.91816	−	3.98309i	−0.0799926	−	0.166106i
$576$	−20.4873	+	2.01513i	−0.853636	+	0.0839637i
$577$	−26.7681	−	3.01604i	−1.11437	−	0.125559i	−0.464477	−	0.885585i	$-0.653758\pi$
$577$	−26.7681	−	3.01604i	−1.11437	−	0.125559i	−0.649893	+	0.760026i	$0.725186\pi$
$578$	−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
$582$	−0.997503	−	0.904202i	−0.0413478	−	0.0374804i
$583$	0.370515	−	3.28842i	0.0153452	−	0.136192i
$584$	3.39283	−	4.25447i	0.140396	−	0.176051i
$585$	−7.63329	−	2.79289i	−0.315598	−	0.115472i
$586$	−0.349851	+	0.726472i	−0.0144522	+	0.0300103i
$587$	7.49243	−	5.97502i	0.309246	−	0.246615i	−0.456552	−	0.889697i	$-0.650916\pi$
$587$	7.49243	−	5.97502i	0.309246	−	0.246615i	0.765798	+	0.643081i	$0.222344\pi$
$588$	4.40936	−	0.717110i	0.181839	−	0.0295731i
$589$	−27.7537	−	6.33460i	−1.14357	−	0.261013i
$590$	5.29284	−	0.596360i	0.217903	−	0.0245517i
$591$	23.6229	−	16.5112i	0.971715	−	0.679180i
$592$	−15.1840	+	15.1840i	−0.624058	+	0.624058i
$593$	−1.65391	−	7.24623i	−0.0679177	−	0.297567i	0.929549	−	0.368698i	$-0.120196\pi$
$593$	−1.65391	−	7.24623i	−0.0679177	−	0.297567i	−0.997467	+	0.0711309i	$0.977339\pi$
$594$	−0.977965	−	1.14225i	−0.0401264	−	0.0468673i
$595$	50.1599	−	17.5517i	2.05636	−	0.719551i
$596$	−19.1084	+	4.36137i	−0.782710	+	0.178648i
$597$	36.7410	−	14.9149i	1.50371	−	0.610424i
$598$	0.384636	+	0.241683i	0.0157289	+	0.00988315i
$599$	1.84370	+	16.3633i	0.0753317	+	0.668587i	0.973461	+	0.228855i	$0.0734981\pi$
$599$	1.84370	+	16.3633i	0.0753317	+	0.668587i	−0.898129	+	0.439732i	$0.855073\pi$
$600$	−1.90635	+	2.64685i	−0.0778264	+	0.108057i
$601$	13.4004	−	8.42004i	0.546614	−	0.343461i	−0.230247	−	0.973132i	$-0.573953\pi$
$601$	13.4004	−	8.42004i	0.546614	−	0.343461i	0.776861	+	0.629672i	$0.216811\pi$
$602$	0.674968	+	0.846383i	0.0275097	+	0.0344960i
$603$	3.39161	+	10.1514i	0.138117	+	0.413395i
$604$	19.3758	−	9.33087i	0.788388	−	0.379668i
$605$	−19.4004	−	15.4713i	−0.788739	−	0.628999i
$606$	−1.87350	+	3.33388i	−0.0761055	+	0.135430i
$607$	−1.38448	+	3.95661i	−0.0561942	+	0.160594i	−0.968559	−	0.248785i	$-0.919969\pi$
$607$	−1.38448	+	3.95661i	−0.0561942	+	0.160594i	0.912365	+	0.409379i	$0.134255\pi$
$608$	−17.0658			−0.692108
$609$	18.9166	+	19.1348i	0.766539	+	0.775380i
$610$	−3.85868			−0.156234
$611$	1.43225	−	4.09314i	0.0579428	−	0.165591i
$612$	−24.6719	−	31.8522i	−0.997302	−	1.28755i
$613$	9.32757	+	7.43849i	0.376737	+	0.300438i	0.793491	−	0.608581i	$-0.208261\pi$
$613$	9.32757	+	7.43849i	0.376737	+	0.300438i	−0.416754	+	0.909019i	$0.636833\pi$
$614$	0.0463811	−	0.0223359i	0.00187179	−	0.000901405i
$615$	30.0840	+	34.1474i	1.21311	+	1.37696i
$616$	−2.05679	−	2.57913i	−0.0828705	−	0.103916i
$617$	13.9311	−	8.75347i	0.560844	−	0.352402i	−0.221585	−	0.975141i	$-0.571123\pi$
$617$	13.9311	−	8.75347i	0.560844	−	0.352402i	0.782429	+	0.622739i	$0.213980\pi$
$618$	6.08838	+	4.38505i	0.244911	+	0.176393i
$619$	−3.18039	−	28.2267i	−0.127831	−	1.13453i	−0.879805	−	0.475335i	$-0.842327\pi$
$619$	−3.18039	−	28.2267i	−0.127831	−	1.13453i	0.751974	−	0.659192i	$-0.229102\pi$
$620$	18.8540	+	11.8467i	0.757193	+	0.475776i
$621$	−9.70724	−	4.26452i	−0.389538	−	0.171129i
$622$	2.60407	−	0.594362i	0.104414	−	0.0238317i
$623$	−40.9861	+	14.3417i	−1.64207	+	0.574587i
$624$	−0.410828	+	6.49412i	−0.0164463	+	0.259973i
$625$	6.92904	+	30.3581i	0.277162	+	1.21432i
$626$	−2.22676	+	2.22676i	−0.0889992	+	0.0889992i
$627$	8.71949	+	12.4751i	0.348223	+	0.498209i
$628$	−21.1041	+	2.37787i	−0.842147	+	0.0948872i
$629$	−38.8099	−	8.85810i	−1.54745	−	0.353195i
$630$	−4.95179	−	1.20420i	−0.197284	−	0.0479766i
$631$	−15.9262	+	12.7007i	−0.634013	+	0.505608i	−0.886945	−	0.461876i	$-0.847177\pi$
$631$	−15.9262	+	12.7007i	−0.634013	+	0.505608i	0.252932	+	0.967484i	$0.418605\pi$
$632$	−1.47864	+	3.07043i	−0.0588172	+	0.122135i
$633$	−1.57118	−	32.0245i	−0.0624487	−	1.27286i
$634$	−1.05304	+	1.32047i	−0.0418215	+	0.0524425i
$635$	0.504172	−	4.47465i	0.0200075	−	0.177571i
$636$	−5.71046	+	6.29970i	−0.226434	+	0.249799i
$637$		−	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	$-0.290114\pi$
$641$	26.1791	+	2.94968i	1.03401	+	0.116505i	0.421389	+	0.906880i	$0.361543\pi$
$642$	3.61673	−	1.96561i	0.142741	−	0.0775763i
$643$	13.4841	+	27.9999i	0.531759	+	1.10421i	0.977866	+	0.209230i	$0.0670958\pi$
$643$	13.4841	+	27.9999i	0.531759	+	1.10421i	−0.446107	+	0.894980i	$0.647190\pi$
$644$	−10.3500	−	4.98429i	−0.407847	−	0.196409i
$645$	2.13608	+	7.61674i	0.0841082	+	0.299909i
$646$	−5.37916	−	8.56089i	−0.211640	−	0.336824i
$647$	3.10493	−	13.6036i	0.122067	−	0.534812i	−0.876505	−	0.481393i	$-0.840131\pi$
$647$	3.10493	−	13.6036i	0.122067	−	0.534812i	0.998572	−	0.0534189i	$-0.0170119\pi$
$648$	0.655504	+	7.79553i	0.0257506	+	0.306237i
$649$	−6.33105	+	10.0758i	−0.248515	+	0.395510i
$650$	0.341065	+	0.341065i	0.0133777	+	0.0133777i
$651$	−3.71550	+	20.9681i	−0.145622	+	0.821807i
$652$	2.40325	+	6.86809i	0.0941185	+	0.268975i
$653$	7.35593	+	21.0220i	0.287860	+	0.822656i	0.993474	+	0.114060i	$0.0363856\pi$
$653$	7.35593	+	21.0220i	0.287860	+	0.822656i	−0.705614	+	0.708596i	$0.749329\pi$
$654$	0.411147	−	2.32028i	0.0160771	−	0.0907300i
$655$	−3.69400	−	3.69400i	−0.144336	−	0.144336i
$656$	19.3835	−	30.8486i	0.756798	−	1.20444i
$657$	14.5164	+	11.9165i	0.566339	+	0.464906i
$658$	0.605000	−	2.65068i	0.0235853	−	0.103334i
$659$	−25.4012	−	40.4258i	−0.989491	−	1.57477i	−0.806146	−	0.591717i	$-0.798450\pi$
$659$	−25.4012	−	40.4258i	−0.989491	−	1.57477i	−0.183345	−	0.983049i	$-0.558692\pi$
$660$	−3.21473	−	11.4629i	−0.125133	−	0.446194i
$661$	24.5067	+	11.8018i	0.953201	+	0.459037i	0.844807	−	0.535071i	$-0.179715\pi$
$661$	24.5067	+	11.8018i	0.953201	+	0.459037i	0.108394	+	0.994108i	$0.465429\pi$
$662$	1.43498	+	2.97976i	0.0557720	+	0.115812i
$663$	−10.5989	+	5.76025i	−0.411626	+	0.223709i
$664$	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
$669$	−12.4635	+	13.7495i	−0.481866	+	0.531588i
$670$	0.235222	−	2.08765i	0.00908741	−	0.0806530i
$671$	5.37500	−	6.74003i	0.207500	−	0.260196i
$672$	0.625563	+	12.7505i	0.0241316	+	0.491863i
$673$	5.06459	−	10.5167i	0.195226	−	0.405390i	−0.780259	−	0.625456i	$-0.784913\pi$
$673$	5.06459	−	10.5167i	0.195226	−	0.405390i	0.975485	+	0.220066i	$0.0706272\pi$
$674$	−2.92961	+	2.33628i	−0.112844	+	0.0899903i
$675$	−9.04116	−	6.70811i	−0.347994	−	0.258195i
$676$	−22.7859	−	5.20074i	−0.876382	−	0.200029i
$677$	1.31548	−	0.148219i	0.0505579	−	0.00569651i	−0.0866493	−	0.996239i	$-0.527616\pi$
$677$	1.31548	−	0.148219i	0.0505579	−	0.00569651i	0.137207	+	0.990542i	$0.456187\pi$
$678$	2.04146	+	2.92075i	0.0784017	+	0.112171i
$679$	7.20806	−	7.20806i	0.276620	−	0.276620i
$680$	3.56320	+	15.6114i	0.136643	+	0.598670i
$681$	0.808978	−	12.7878i	0.0310001	−	0.490031i
$682$	1.16416	−	0.407357i	0.0445780	−	0.0155985i
$683$	−2.27786	+	0.519908i	−0.0871600	+	0.0198937i	−0.265879	−	0.964007i	$-0.585662\pi$
$683$	−2.27786	+	0.519908i	−0.0871600	+	0.0198937i	0.178718	+	0.983900i	$0.442805\pi$
$684$	0.553540	−	39.1030i	0.0211651	−	1.49514i
$685$	6.96037	+	4.37349i	0.265942	+	0.167102i
$686$	0.403432	+	3.58056i	0.0154031	+	0.136706i
$687$	−36.3520	−	26.1819i	−1.38692	−	0.998902i
$688$	5.36223	−	3.36931i	0.204433	−	0.128454i
$689$	1.58725	+	1.99035i	0.0604696	+	0.0758264i
$690$	1.37577	+	1.56159i	0.0523746	+	0.0594487i
$691$	−3.00721	+	1.44820i	−0.114400	+	0.0550920i	−0.490208	−	0.871605i	$-0.663079\pi$
$691$	−3.00721	+	1.44820i	−0.114400	+	0.0550920i	0.375809	+	0.926697i	$0.377365\pi$
$692$	11.7138	+	9.34140i	0.445290	+	0.355107i
$693$	9.00106	−	6.97198i	0.341922	−	0.264844i
$694$	1.57848	−	4.51104i	0.0599184	−	0.171237i
$695$	9.22668			0.349988
$696$	−6.36767	+	5.01858i	−0.241366	+	0.190229i
$697$	67.5403			2.55827
$698$	−0.605804	+	1.73129i	−0.0229300	+	0.0655303i
$699$	−17.6067	+	31.3311i	−0.665948	+	1.18505i
$700$	−9.53645	−	7.60507i	−0.360444	−	0.287445i
$701$	3.20583	−	1.54385i	0.121082	−	0.0583102i	−0.372362	−	0.928088i	$-0.621452\pi$
$701$	3.20583	−	1.54385i	0.121082	−	0.0583102i	0.493444	+	0.869777i	$0.335738\pi$
$702$	1.15334	+	0.0893686i	0.0435300	+	0.00337300i
$703$	−24.0911	−	30.2093i	−0.908615	−	1.13937i
$704$	−7.64399	+	4.80304i	−0.288094	+	0.181021i
$705$	11.6110	−	16.1213i	0.437297	−	0.607162i
$706$	0.708612	+	6.28910i	0.0266690	+	0.236694i
$707$	−24.5171	−	15.4051i	−0.922061	−	0.579369i
$708$	28.3298	−	11.5004i	1.06470	−	0.432210i
$709$	2.07593	−	0.473818i	0.0779632	−	0.0177946i	−0.183361	−	0.983046i	$-0.558698\pi$
$709$	2.07593	−	0.473818i	0.0779632	−	0.0177946i	0.261325	+	0.965251i	$0.415841\pi$
$710$	−3.47330	+	1.21536i	−0.130351	+	0.0456117i
$711$	−10.5238	−	5.25278i	−0.394673	−	0.196995i
$712$	−2.91152	−	12.7562i	−0.109114	−	0.478059i
$713$	6.14934	−	6.14934i	0.230295	−	0.230295i
$714$	−6.19902	+	4.33280i	−0.231992	+	0.162151i
$715$	−3.54208	+	0.399096i	−0.132466	+	0.0149254i
$716$	24.9207	+	5.68799i	0.931331	+	0.212570i
$717$	6.98017	−	1.13521i	0.260679	−	0.0423952i
$718$	−1.24237	+	0.990754i	−0.0463647	+	0.0369746i
$719$	22.7411	−	47.2224i	0.848100	−	1.76110i	0.233320	−	0.972400i	$-0.425041\pi$
$719$	22.7411	−	47.2224i	0.848100	−	1.76110i	0.614780	−	0.788698i	$-0.289245\pi$
$720$	−10.2435	+	27.9967i	−0.381754	+	1.04338i
$721$	−35.4206	+	44.4160i	−1.31913	+	1.65414i
$722$	0.630850	−	5.59895i	0.0234778	−	0.208371i
$723$	−27.7293	−	25.1356i	−1.03126	−	0.934804i
$724$		−	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	−0.368008	−	0.929823i	$-0.619960\pi$
$727$	−33.3117	−	11.6563i	−1.23546	−	0.432307i	−0.867455	+	0.497516i	$0.834246\pi$
$728$	2.52181	+	0.284140i	0.0934645	+	0.0105309i
$729$	−26.9344	+	1.88131i	−0.997570	+	0.0696782i
$730$	−1.59951	−	3.32142i	−0.0592006	−	0.122931i
$731$	10.5775	+	5.09385i	0.391222	+	0.188403i
$732$	−21.3274	+	5.98118i	−0.788284	+	0.221071i
$733$	19.7936	+	31.5014i	0.731095	+	1.16353i	0.980764	+	0.195200i	$0.0625355\pi$
$733$	19.7936	+	31.5014i	0.731095	+	1.16353i	−0.249668	+	0.968331i	$0.580322\pi$
$734$	1.71144	−	7.49830i	0.0631703	−	0.276767i
$735$	1.73803	−	5.87618i	0.0641083	−	0.216746i
$736$	2.77370	−	4.41431i	0.102240	−	0.162714i
$737$	3.31888	+	3.31888i	0.122253	+	0.122253i
$738$	−5.43477	−	3.52316i	−0.200057	−	0.129689i
$739$	2.53638	+	7.24856i	0.0933023	+	0.266643i	0.981071	−	0.193647i	$-0.0620315\pi$
$739$	2.53638	+	7.24856i	0.0933023	+	0.266643i	−0.887769	+	0.460289i	$0.847746\pi$
$740$	9.98208	+	28.5271i	0.366949	+	1.04868i
$741$	−11.5293	−	2.04296i	−0.423538	−	0.0750499i
$742$	1.12862	+	1.12862i	0.0414329	+	0.0414329i
$743$	−11.3618	+	18.0823i	−0.416826	+	0.663374i	−0.987467	−	0.157825i	$-0.949552\pi$
$743$	−11.3618	+	18.0823i	−0.416826	+	0.663374i	0.570641	+	0.821199i	$0.306695\pi$
$744$	−6.15308	−	1.81993i	−0.225583	−	0.0667220i
$745$	−5.98253	+	26.2112i	−0.219183	+	0.960303i
$746$	−0.153602	−	0.244456i	−0.00562376	−	0.00895016i
$747$	−5.33589	+	42.0045i	−0.195230	+	1.53686i
$748$	−15.9187	−	7.66606i	−0.582047	−	0.280299i
$749$	13.5229	+	28.0805i	0.494115	+	1.02604i
$750$	−1.37997	−	2.53915i	−0.0503894	−	0.0927167i
$751$	19.5420	+	2.20185i	0.713097	+	0.0803467i	0.461058	−	0.887370i	$-0.347470\pi$
$751$	19.5420	+	2.20185i	0.713097	+	0.0803467i	0.252039	+	0.967717i	$0.418899\pi$
$752$	−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
$756$	−29.2358	+	1.01979i	−1.06329	+	0.0370893i
$757$	0.861919	−	7.64974i	0.0313270	−	0.278035i	−0.968277	−	0.249881i	$-0.919609\pi$
$757$	0.861919	−	7.64974i	0.0313270	−	0.278035i	0.999604	−	0.0281539i	$-0.00896285\pi$
$758$	1.25920	−	1.57898i	0.0457361	−	0.0573513i
$759$	−4.64405	+	0.227845i	−0.168568	+	0.00827025i
$760$	−6.74375	+	14.0035i	−0.244622	+	0.507962i
$761$	36.9339	−	29.4538i	1.33885	−	1.06770i	0.347332	−	0.937742i	$-0.387088\pi$
$761$	36.9339	−	29.4538i	1.33885	−	1.06770i	0.991520	−	0.129956i	$-0.0414838\pi$
$762$	0.102873	+	0.632547i	0.00372671	+	0.0229148i
$763$	17.3944	+	3.97015i	0.629718	+	0.143729i
$764$	−12.8121	+	1.44358i	−0.463525	+	0.0522267i
$765$	−54.0490	+	11.5339i	−1.95414	+	0.417011i
$766$	3.69636	−	3.69636i	0.133555	−	0.133555i
$767$	−2.03704	−	8.92486i	−0.0735533	−	0.322258i
$768$	21.2065	+	1.34155i	0.765222	+	0.0484091i
$769$	−45.8260	+	16.0352i	−1.65253	+	0.578245i	−0.985928	−	0.167169i	$-0.946537\pi$
$769$	−45.8260	+	16.0352i	−1.65253	+	0.578245i	−0.666601	+	0.745414i	$0.732252\pi$
$770$	−2.17879	+	0.497294i	−0.0785181	+	0.0179212i
$771$	9.09055	+	22.3935i	0.327388	+	0.806482i
$772$	9.12142	+	5.73137i	0.328287	+	0.206276i
$773$	4.92235	+	43.6871i	0.177045	+	1.57132i	0.696968	+	0.717103i	$0.254532\pi$
$773$	4.92235	+	43.6871i	0.177045	+	1.57132i	−0.519923	+	0.854213i	$0.674039\pi$
$774$	−0.585424	−	0.961650i	−0.0210426	−	0.0345658i
$775$	7.81861	−	4.91276i	0.280853	−	0.176471i
$776$	1.91511	+	2.40147i	0.0687484	+	0.0862078i
$777$	−21.6876	+	19.1068i	−0.778037	+	0.685454i
$778$	−4.66457	+	2.24634i	−0.167233	+	0.0805351i
$779$	51.2548	+	40.8743i	1.83639	+	1.46448i
$780$	7.98423	+	4.48679i	0.285881	+	0.160653i
$781$	2.71528	−	7.75983i	0.0971604	−	0.277669i
$782$	3.08867			0.110451
$783$	−17.0080	−	22.2200i	−0.607818	−	0.794077i
$784$	−4.90570			−0.175203
$785$	−9.62167	+	27.4972i	−0.343412	+	0.981416i
$786$	0.648157	+	0.364236i	0.0231190	+	0.0129919i
$787$	−28.7901	−	22.9593i	−1.02626	−	0.818412i	−0.0427137	−	0.999087i	$-0.513600\pi$
$787$	−28.7901	−	22.9593i	−1.02626	−	0.818412i	−0.983543	+	0.180675i	$0.942172\pi$
$788$	−29.2587	+	14.0902i	−1.04230	+	0.501944i
$789$	12.6840	−	11.1746i	0.451562	−	0.397828i
$790$	1.43946	+	1.80503i	0.0512138	+	0.0642201i
$791$	−22.8454	+	14.3547i	−0.812288	+	0.510395i
$792$	1.78393	+	2.93038i	0.0633892	+	0.104127i
$793$	0.742541	+	6.59023i	0.0263684	+	0.234026i
$794$	3.19630	+	2.00837i	0.113432	+	0.0712743i
$795$	4.38694	+	10.8067i	0.155589	+	0.383275i
$796$	−43.5593	+	9.94213i	−1.54392	+	0.352389i
$797$	19.3707	−	6.77809i	0.686145	−	0.240092i	0.0353822	−	0.999374i	$-0.488735\pi$
$797$	19.3707	−	6.77809i	0.686145	−	0.240092i	0.650762	+	0.759281i	$0.274449\pi$
$798$	−7.32644	−	0.463482i	−0.259353	−	0.0164071i
$799$	−6.56105	−	28.7458i	−0.232113	−	1.01695i
$800$	3.91426	−	3.91426i	0.138390	−	0.138390i
$801$	44.1639	−	9.42449i	1.56045	−	0.332998i
$802$	5.61851	−	0.633055i	0.198397	−	0.0223539i
$803$	8.02964	+	1.83271i	0.283360	+	0.0646751i
$804$	−1.93588	−	11.9033i	−0.0682732	−	0.419798i
$805$	−12.3199	+	9.82476i	−0.434218	+	0.346277i
$806$	−0.411679	+	0.854860i	−0.0145008	+	0.0301111i
$807$	10.4024	−	0.510359i	0.366182	−	0.0179655i
$808$	5.43986	−	6.82136i	0.191373	−	0.239975i
$809$	−1.55106	+	13.7660i	−0.0545323	+	0.483988i	0.936530	+	0.350588i	$0.114018\pi$
$809$	−1.55106	+	13.7660i	−0.0545323	+	0.483988i	−0.991062	+	0.133400i	$0.957410\pi$
$810$	4.95082	+	1.89130i	0.173954	+	0.0664536i
$811$			11.3656i			0.399099i	0.979888	+	0.199549i	$0.0639478\pi$
$811$			11.3656i			0.399099i	−0.979888	+	0.199549i	$0.936052\pi$
$812$	−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
$816$	21.1269	+	38.8736i	0.739590	+	1.36085i
$817$	4.94430	+	10.2669i	0.172979	+	0.359195i
$818$	−2.02821	−	0.976732i	−0.0709145	−	0.0341506i
$819$	−1.10376	+	8.68888i	−0.0385685	+	0.303614i
$820$	−27.2817	−	43.4185i	−0.952718	−	1.51624i
$821$	−4.67173	+	20.4682i	−0.163045	+	0.714345i	0.825623	+	0.564222i	$0.190824\pi$
$821$	−4.67173	+	20.4682i	−0.163045	+	0.714345i	−0.988667	+	0.150122i	$0.952033\pi$
$822$	−1.12187	−	0.331822i	−0.0391297	−	0.0115736i
$823$	6.25475	−	9.95438i	0.218027	−	0.346988i	−0.719746	−	0.694238i	$-0.755742\pi$
$823$	6.25475	−	9.95438i	0.218027	−	0.346988i	0.937773	+	0.347250i	$0.112884\pi$
$824$	−12.1044	−	12.1044i	−0.421675	−	0.421675i
$825$	−4.86127	−	0.861404i	−0.169248	−	0.0299902i
$826$	−1.89564	−	5.41742i	−0.0659577	−	0.188496i
$827$	−10.2881	−	29.4016i	−0.357751	−	1.02239i	−0.972345	−	0.233550i	$-0.924966\pi$
$827$	−10.2881	−	29.4016i	−0.357751	−	1.02239i	0.614594	−	0.788844i	$-0.289320\pi$
$828$	10.0246	+	6.49858i	0.348379	+	0.225841i
$829$	10.4079	+	10.4079i	0.361482	+	0.361482i	0.864358	−	0.502876i	$-0.167725\pi$
$829$	10.4079	+	10.4079i	0.361482	+	0.361482i	−0.502876	+	0.864358i	$0.667725\pi$
$830$	4.42184	−	7.03732i	0.153484	−	0.244269i
$831$	8.17507	−	27.6394i	0.283590	−	0.958800i
$832$	1.54540	−	6.77083i	0.0535770	−	0.234736i
$833$	−4.83846	−	7.70037i	−0.167643	−	0.266802i
$834$	−1.26435	+	0.354582i	−0.0437810	+	0.0122782i
$835$	23.3301	+	11.2352i	0.807371	+	0.388810i
$836$	−7.44099	−	15.4514i	−0.257352	−	0.534397i
$837$	6.58117	−	21.1454i	0.227479	−	0.730891i
$838$	−4.98676	−	0.561873i	−0.172265	−	0.0194096i
$839$	−4.17686	−	1.46155i	−0.144201	−	0.0504581i	0.257214	−	0.966355i	$-0.417196\pi$
$839$	−4.17686	−	1.46155i	−0.144201	−	0.0504581i	−0.401415	+	0.915896i	$0.631481\pi$
$840$	10.7098	+	4.52522i	0.369524	+	0.156135i
$841$	9.50451	−	27.3983i	0.327742	−	0.944767i
$842$		−	1.37837i		−	0.0475018i
$843$	−1.14464	−	1.03757i	−0.0394234	−	0.0357359i
$844$	−4.04500	+	35.9003i	−0.139235	+	1.23574i
$845$	−19.9888	+	25.0651i	−0.687635	+	0.862267i
$846$	−0.971547	+	2.65535i	−0.0334025	+	0.0912927i
$847$	−11.6016	+	24.0910i	−0.398635	+	0.827775i
$848$	7.30004	−	5.82159i	0.250684	−	0.199914i
$849$	16.8532	−	2.74091i	0.578402	−	0.0940676i
$850$	3.19734	+	0.729771i	0.109668	+	0.0250309i
$851$	11.7296	−	1.32161i	0.402086	−	0.0453042i
$852$	−17.3135	+	12.1013i	−0.593150	+	0.414583i
$853$	3.39643	−	3.39643i	0.116292	−	0.116292i	−0.646566	−	0.762858i	$-0.723796\pi$
$853$	3.39643	−	3.39643i	0.116292	−	0.116292i	0.762858	+	0.646566i	$0.223796\pi$
$854$	0.925244	+	4.05376i	0.0316612	+	0.138717i
$855$	−47.9967	−	23.9568i	−1.64145	−	0.819304i
$856$	−8.86430	+	3.10175i	−0.302975	+	0.106016i
$857$	13.6725	−	3.12066i	0.467043	−	0.106600i	0.0174784	−	0.999847i	$-0.494436\pi$
$857$	13.6725	−	3.12066i	0.467043	−	0.106600i	0.449565	+	0.893248i	$0.351579\pi$
$858$	0.470041	−	0.190811i	0.0160470	−	0.00651419i
$859$	14.6725	+	9.21937i	0.500621	+	0.314561i	0.758563	−	0.651599i	$-0.225902\pi$
$859$	14.6725	+	9.21937i	0.500621	+	0.314561i	−0.257942	+	0.966160i	$0.583044\pi$
$860$	−0.997983	−	8.85734i	−0.0340309	−	0.302033i
$861$	28.6601	−	39.7929i	0.976734	−	1.35614i
$862$	−5.55125	+	3.48808i	−0.189076	+	0.118804i
$863$	4.58422	+	5.74843i	0.156049	+	0.195679i	0.853710	−	0.520749i	$-0.174347\pi$
$863$	4.58422	+	5.74843i	0.156049	+	0.195679i	−0.697661	+	0.716428i	$0.745776\pi$
$864$	1.02565	−	13.2364i	0.0348932	−	0.450311i
$865$	18.5163	−	8.91700i	0.629574	−	0.303187i
$866$	4.79564	+	3.82440i	0.162963	+	0.129958i
$867$	−25.7567	+	45.8339i	−0.874742	+	1.55660i
$868$	7.92479	−	22.6478i	0.268985	−	0.768715i
$869$	−5.15800			−0.174973
$870$	1.19148	+	5.36177i	0.0403951	+	0.181781i
$871$	−3.61076			−0.122346
$872$	−1.77561	+	5.07441i	−0.0601298	+	0.171841i
$873$	−8.38102	+	6.49172i	−0.283655	+	0.219711i
$874$	2.34393	+	1.86922i	0.0792845	+	0.0632273i
$875$	19.7141	−	9.49383i	0.666460	−	0.320950i
$876$	−13.9891	−	15.8786i	−0.472648	−	0.536487i
$877$	−18.8604	−	23.6502i	−0.636869	−	0.798609i	0.353738	−	0.935344i	$-0.384910\pi$
$877$	−18.8604	−	23.6502i	−0.636869	−	0.798609i	−0.990608	+	0.136736i	$0.956339\pi$
$878$	4.60309	−	2.89232i	0.155347	−	0.0976109i
$879$	5.15193	+	3.71059i	0.173770	+	0.125155i
$880$	1.46377	+	12.9913i	0.0493437	+	0.437937i
$881$	13.0855	+	8.22215i	0.440861	+	0.277011i	0.734117	−	0.679023i	$-0.237596\pi$
$881$	13.0855	+	8.22215i	0.440861	+	0.277011i	−0.293257	+	0.956034i	$0.594739\pi$
$882$	−0.0123443	+	0.872019i	−0.000415653	+	0.0293624i
$883$	50.9226	−	11.6227i	1.71368	−	0.391136i	0.750686	−	0.660659i	$-0.229723\pi$
$883$	50.9226	−	11.6227i	1.71368	−	0.391136i	0.962994	+	0.269522i	$0.0868658\pi$
$884$	12.8295	−	4.48922i	0.431501	−	0.150989i
$885$	2.64791	−	41.8565i	0.0890084	−	1.40699i
$886$	−1.00880	−	4.41983i	−0.0338912	−	0.148487i
$887$	19.4189	−	19.4189i	0.652023	−	0.652023i	−0.301457	−	0.953480i	$-0.597473\pi$
$887$	19.4189	−	19.4189i	0.652023	−	0.652023i	0.953480	+	0.301457i	$0.0974730\pi$
$888$	−4.98943	−	7.13846i	−0.167434	−	0.239551i
$889$	−4.82176	+	0.543282i	−0.161717	+	0.0182211i
$890$	−8.64179	−	1.97243i	−0.289673	−	0.0661161i
$891$	−10.1999	+	6.01318i	−0.341709	+	0.201449i
$892$	16.3482	−	13.0373i	0.547379	−	0.436520i
$893$	12.4175	−	25.7852i	0.415536	−	0.862870i
$894$	−0.187498	−	3.82169i	−0.00627088	−	0.127816i
$895$	21.8615	−	27.4134i	0.730749	−	0.916330i
$896$	2.13797	−	18.9750i	0.0714244	−	0.633909i
$897$	2.40229	−	2.65017i	0.0802101	−	0.0884867i
$898$		−	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
$903$	7.48961	−	4.07043i	0.249239	−	0.135455i
$904$	−3.52745	−	7.32482i	−0.117321	−	0.243620i
$905$	−33.9100	−	16.3302i	−1.12720	−	0.542833i
$906$	1.13366	+	4.04235i	0.0376633	+	0.134298i
$907$	−2.94025	−	4.67938i	−0.0976294	−	0.155376i	0.794338	−	0.607476i	$-0.207818\pi$
$907$	−2.94025	−	4.67938i	−0.0976294	−	0.155376i	−0.891967	+	0.452100i	$0.850675\pi$
$908$	−3.21269	+	14.0757i	−0.106617	+	0.467119i
$909$	23.2748	+	19.1062i	0.771975	+	0.633711i
$910$	0.914685	−	1.45571i	0.0303215	−	0.0482564i
$911$	−10.5946	−	10.5946i	−0.351016	−	0.351016i	0.509471	−	0.860488i	$-0.329841\pi$
$911$	−10.5946	−	10.5946i	−0.351016	−	0.351016i	−0.860488	+	0.509471i	$0.829841\pi$
$912$	−7.49298	+	42.2860i	−0.248117	+	1.40023i
$913$	6.13277	+	17.5264i	0.202965	+	0.580041i
$914$	0.645552	+	1.84488i	0.0213530	+	0.0610232i
$915$	−5.30134	+	29.9177i	−0.175257	+	0.989047i
$916$	35.6934	+	35.6934i	1.17934	+	1.17934i
$917$	−2.99499	+	4.76650i	−0.0989033	+	0.157404i
$918$	6.96320	−	3.65763i	0.229820	−	0.120720i
$919$	−7.40955	+	32.4634i	−0.244418	+	1.07087i	0.692527	+	0.721392i	$0.256497\pi$
$919$	−7.40955	+	32.4634i	−0.244418	+	1.07087i	−0.936946	+	0.349475i	$0.886360\pi$
$920$	−2.52616	−	4.02036i	−0.0832850	−	0.132547i
$921$	−0.109456	−	0.390295i	−0.00360671	−	0.0128606i
$922$	−4.59343	−	2.21208i	−0.151277	−	0.0728510i
$923$	2.74409	+	5.69816i	0.0903228	+	0.187557i
$924$	−11.2716	+	6.12586i	−0.370809	+	0.201526i
$925$	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	$0.747415\pi$
$930$	−2.91945	+	3.22070i	−0.0957326	+	0.105611i
$931$	0.988344	−	8.77180i	0.0323917	−	0.287484i
$932$	25.2484	−	31.6604i	0.827037	−	1.03707i
$933$	−1.03063	−	21.0068i	−0.0337413	−	0.687732i
$934$	−2.09762	+	4.35574i	−0.0686361	+	0.142524i
$935$	−18.9485	+	15.1109i	−0.619681	+	0.494179i
$936$	−2.56445	−	0.623636i	−0.0838216	−	0.0203842i
$937$	−3.11087	−	0.710036i	−0.101628	−	0.0231959i	0.171405	−	0.985201i	$-0.445169\pi$
$937$	−3.11087	−	0.710036i	−0.101628	−	0.0231959i	−0.273032	+	0.962005i	$0.588027\pi$
$938$	−2.24959	+	0.253468i	−0.0734518	+	0.00827604i
$939$	14.2055	+	20.3241i	0.463580	+	0.663252i
$940$	−15.8292	+	15.8292i	−0.516291	+	0.516291i
$941$	0.795977	+	3.48740i	0.0259481	+	0.113686i	0.986243	−	0.165299i	$-0.0528590\pi$
$941$	0.795977	+	3.48740i	0.0259481	+	0.113686i	−0.960295	+	0.278985i	$0.910002\pi$
$942$	0.261761	−	4.13776i	0.00852864	−	0.134816i
$943$	−18.9032	+	6.61451i	−0.615572	+	0.215398i
$944$	−32.7338	+	7.47128i	−1.06539	+	0.243169i
$945$	−16.1397	+	36.7385i	−0.525025	+	1.19510i
$946$	−0.418040	−	0.262672i	−0.0135917	−	0.00854021i
$947$	−3.86229	−	34.2788i	−0.125508	−	1.11391i	−0.885715	−	0.464230i	$-0.846331\pi$
$947$	−3.86229	−	34.2788i	−0.125508	−	1.11391i	0.760207	−	0.649681i	$-0.225097\pi$
$948$	10.7540	+	7.74537i	0.349273	+	0.251558i
$949$	−5.36484	+	3.37095i	−0.174150	+	0.109426i
$950$	1.98474	+	2.48879i	0.0643935	+	0.0807469i
$951$	8.79129	+	9.97871i	0.285077	+	0.323582i
$952$	15.5462	−	7.48668i	0.503857	−	0.242645i
$953$	−19.9918	−	15.9429i	−0.647597	−	0.516442i	0.243706	−	0.969849i	$-0.421637\pi$
$953$	−19.9918	−	15.9429i	−0.647597	−	0.516442i	−0.891303	+	0.453407i	$0.850208\pi$
$954$	−1.01646	−	1.31228i	−0.0329090	−	0.0424866i
$955$	−5.84121	+	16.6932i	−0.189017	+	0.540180i
$956$	−7.96835			−0.257715
$957$	−11.0252	−	5.38755i	−0.356394	−	0.174155i
$958$	1.18080			0.0381501
$959$	2.92562	−	8.36093i	0.0944731	−	0.269989i
$960$	15.5876	−	27.7381i	0.503087	−	0.895242i
$961$	−10.0353	−	8.00288i	−0.323719	−	0.258157i
$962$	−1.16031	+	0.558776i	−0.0374099	+	0.0180157i
$963$	−10.2711	−	30.7422i	−0.330981	−	0.990653i
$964$	26.2928	+	32.9702i	0.846835	+	1.06190i
$965$	12.5119	−	7.86177i	0.402774	−	0.253079i
$966$	1.31065	−	1.81976i	0.0421695	−	0.0585499i
$967$	1.03120	+	9.15211i	0.0331610	+	0.294312i	0.999336	+	0.0364260i	$0.0115973\pi$
$967$	1.03120	+	9.15211i	0.0331610	+	0.294312i	−0.966175	+	0.257886i	$0.916974\pi$
$968$	−6.82208	−	4.28660i	−0.219270	−	0.137776i
$969$	−73.7657	+	29.9449i	−2.36970	+	0.961969i
$970$	2.02870	−	0.463038i	0.0651377	−	0.0148673i
$971$	−47.3064	+	16.5532i	−1.51814	+	0.531218i	−0.955373	−	0.295401i	$-0.904547\pi$
$971$	−47.3064	+	16.5532i	−1.51814	+	0.531218i	−0.562762	+	0.826619i	$0.690261\pi$
$972$	30.2954	+	2.77941i	0.971726	+	0.0891495i
$973$	−2.21239	−	9.69313i	−0.0709261	−	0.310748i
$974$	−5.12369	+	5.12369i	−0.164174	+	0.164174i
$975$	3.11297	−	2.17581i	0.0996948	−	0.0696817i
$976$	24.1711	−	2.72342i	0.773697	−	0.0871747i
$977$	−20.2356	−	4.61865i	−0.647394	−	0.147764i	−0.113799	−	0.993504i	$-0.536302\pi$
$977$	−20.2356	−	4.61865i	−0.647394	−	0.147764i	−0.533595	+	0.845740i	$0.679159\pi$
$978$	−1.40209	+	0.228026i	−0.0448337	+	0.00729147i
$979$	15.4830	−	12.3473i	0.494838	−	0.394620i
$980$	−2.99580	+	6.22085i	−0.0956974	+	0.198718i
$981$	−17.4250	−	6.37552i	−0.556338	−	0.203555i
$982$	−1.37153	+	1.71985i	−0.0437674	+	0.0548825i
$983$	0.774551	−	6.87433i	0.0247043	−	0.219257i	−0.975294	−	0.220910i	$-0.929097\pi$
$983$	0.774551	−	6.87433i	0.0247043	−	0.219257i	0.999999	+	0.00165249i	$0.000526005\pi$
$984$	10.9482	+	9.92412i	0.349014	+	0.316370i
$985$			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
$990$	2.31297	−	0.227504i	0.0735111	−	0.00723056i
$991$	−16.1623	−	33.5614i	−0.513414	−	1.06611i	−0.983064	−	0.183262i	$-0.941334\pi$
$991$	−16.1623	−	33.5614i	−0.513414	−	1.06611i	0.469651	−	0.882852i	$-0.344380\pi$
$992$	9.81087	+	4.72467i	0.311495	+	0.150008i
$993$	25.0746	−	7.03205i	0.795717	−	0.223155i
$994$	2.10964	+	3.35747i	0.0669137	+	0.106493i
$995$	−13.6377	+	59.7508i	−0.432345	+	1.89423i
$996$	13.5318	−	45.7503i	0.428772	−	1.44965i
$997$	22.5181	−	35.8374i	0.713155	−	1.13498i	−0.271830	−	0.962345i	$-0.587629\pi$
$997$	22.5181	−	35.8374i	0.713155	−	1.13498i	0.984986	−	0.172635i	$-0.0552281\pi$
$998$	−2.28237	−	2.28237i	−0.0722472	−	0.0722472i
$999$	24.8785	−	16.8698i	0.787122	−	0.533736i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
87.2.k.a.8.4	✓	96	3.2	odd	2	inner
87.2.k.a.8.5	yes	96	1.1	even	1	trivial
87.2.k.a.11.4	yes	96	29.11	odd	28	inner
87.2.k.a.11.5	yes	96	87.11	even	28	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} +(-1.50996 - 0.848534i) q^{3} +(1.52583 + 1.21681i) q^{4} +(2.41194 - 1.16153i) q^{5} +(-0.285876 + 0.251858i) q^{6} +(-1.79859 - 2.25536i) q^{7} +(0.735996 - 0.462457i) q^{8} +(1.55998 + 2.56251i) q^{9} +(-0.0659319 - 0.585161i) q^{10} +(1.11395 + 0.699943i) q^{11} +(-1.27145 - 3.13206i) q^{12} +(-0.986708 + 0.225210i) q^{13} +(-0.598935 + 0.209576i) q^{14} +(-4.62753 - 0.292745i) q^{15} +(0.826004 + 3.61896i) q^{16} +(-4.86592 + 4.86592i) q^{17} +(0.645372 - 0.137721i) q^{18} +(-6.63742 + 0.747857i) q^{19} +(5.09358 + 1.16258i) q^{20} +(0.802056 + 4.93167i) q^{21} +(0.226254 - 0.180432i) q^{22} +(0.885333 - 1.83841i) q^{23} +(-1.50374 + 0.0737759i) q^{24} +(1.35085 - 1.69391i) q^{25} +(-0.0249261 + 0.221226i) q^{26} +(-0.181139 - 5.19299i) 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} +(-1.08810 - 2.00212i) q^{33} +(0.656768 + 1.36379i) q^{34} +(-6.95775 - 3.35068i) q^{35} +(-0.737820 + 5.80817i) q^{36} +(3.07771 + 4.89815i) q^{37} +(-0.326940 + 1.43242i) q^{38} +(1.68099 + 0.497196i) q^{39} +(1.23802 - 1.97030i) q^{40} +(-6.94014 - 6.94014i) q^{41} +(1.08220 + 0.191764i) q^{42} +(-0.563474 - 1.61032i) q^{43} +(0.848008 + 2.42347i) q^{44} +(6.73901 + 4.36865i) q^{45} +(-0.317378 - 0.317378i) q^{46} +(-2.27961 + 3.62798i) q^{47} +(1.82357 - 6.16539i) q^{48} +(-0.294077 + 1.28843i) q^{49} +(-0.253556 - 0.403532i) q^{50} +(11.4763 - 3.21847i) q^{51} +(-1.77959 - 0.857005i) q^{52} +(-1.09138 - 2.26627i) q^{53} +(-1.09135 - 0.339666i) 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} +(-6.70463 - 6.07752i) q^{60} +(0.733676 - 6.51155i) q^{61} +(0.584519 - 0.732963i) q^{62} +(2.97362 - 8.12722i) q^{63} +(-2.97733 + 6.18248i) q^{64} +(-2.11829 + 1.68928i) q^{65} +(-0.494738 + 0.0804611i) q^{66} +(3.47820 + 0.793877i) q^{67} +(-13.3455 + 1.50368i) q^{68} +(-2.89678 + 2.02470i) q^{69} +(-1.20117 + 1.20117i) q^{70} +(-1.39053 - 6.09230i) q^{71} +(2.33319 + 1.16457i) q^{72} +(5.90904 - 2.06766i) q^{73} +(1.24057 - 0.283152i) q^{74} +(-3.47707 + 1.41150i) q^{75} +(-11.0376 - 6.93538i) q^{76} +(-0.424921 - 3.77127i) q^{77} +(0.225355 - 0.312892i) q^{78} +(-3.31969 + 2.08590i) q^{79} +(6.19579 + 7.76928i) q^{80} +(-4.13292 + 7.99494i) q^{81} +(-1.94514 + 0.936731i) q^{82} +(11.0348 + 8.79994i) q^{83} +(-4.77711 + 8.50086i) q^{84} +(-6.08439 + 17.3882i) q^{85} -0.375276 q^{86} +(-9.27457 + 0.991171i) q^{87} +1.14356 q^{88} +(4.97161 - 14.2080i) q^{89} +(1.39663 - 1.08179i) q^{90} +(2.28261 + 1.82032i) q^{91} +(3.58787 - 1.72783i) q^{92} +(-4.87985 - 5.53897i) q^{93} +(0.587639 + 0.736877i) q^{94} +(-15.1404 + 9.51333i) q^{95} +(-3.59093 - 2.58631i) q^{96} +(0.395650 + 3.51149i) q^{97} +(0.246145 + 0.154663i) q^{98} +(-0.0558652 + 3.94641i) 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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