LMFDB - Embedded newform 840.2.dc.e.53.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [840,2,Mod(53,840)] 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("840.53"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(840, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([0, 6, 6, 9, 8])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 840 = 2^{3} \cdot 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	840.dc (of order $12$, degree $4$, minimal)

Newform invariants

comment:select newform

sage:traces = [704,0,0,0,0] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(5)] == traces)

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

Self dual:	no
Analytic conductor:	$6.70743376979$
Analytic rank:	$0$
Dimension:	$704$
Relative dimension:	$176$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			53.1
Character	$\chi$	$=$	840.53
Dual form			840.2.dc.e.317.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.41409 - 0.0185834i) q^{2} +(-1.24311 - 1.20610i) q^{3} +(1.99931 + 0.0525572i) q^{4} +(-2.23234 - 0.129106i) q^{5} +(1.73545 + 1.72864i) q^{6} +(-2.05258 - 1.66941i) q^{7} +(-2.82623 - 0.111475i) q^{8} +(0.0906294 + 2.99863i) q^{9} +(3.15433 + 0.224052i) q^{10} +(-0.304342 + 0.527135i) q^{11} +(-2.42197 - 2.47671i) q^{12} +(-1.73968 + 1.73968i) q^{13} +(2.87151 + 2.39884i) q^{14} +(2.61932 + 2.85292i) q^{15} +(3.99448 + 0.210156i) q^{16} +(-3.35811 + 0.899804i) q^{17} +(-0.0724335 - 4.24202i) q^{18} +(-0.632532 - 1.09558i) q^{19} +(-4.45635 - 0.375448i) q^{20} +(0.538100 + 4.55087i) q^{21} +(0.440163 - 0.739762i) q^{22} +(1.31750 + 0.353024i) q^{23} +(3.37886 + 3.54730i) q^{24} +(4.96666 + 0.576416i) q^{25} +(2.49240 - 2.42774i) q^{26} +(3.50400 - 3.83693i) q^{27} +(-4.01600 - 3.44554i) q^{28} +2.52896i q^{29} +(-3.65094 - 4.08297i) q^{30} +(-0.655180 + 1.13481i) q^{31} +(-5.64465 - 0.371411i) q^{32} +(1.01411 - 0.288218i) q^{33} +(4.76540 - 1.21000i) q^{34} +(4.36652 + 3.99168i) q^{35} +(0.0235965 + 5.99995i) q^{36} +(-1.25854 + 4.69693i) q^{37} +(0.874098 + 1.56100i) q^{38} +(4.26085 - 0.0643744i) q^{39} +(6.29471 + 0.613732i) q^{40} -12.5517i q^{41} +(-0.676352 - 6.44535i) q^{42} +(2.61803 - 2.61803i) q^{43} +(-0.636178 + 1.03791i) q^{44} +(0.184826 - 6.70566i) q^{45} +(-1.85651 - 0.523692i) q^{46} +(0.685210 - 2.55724i) q^{47} +(-4.71209 - 5.07900i) q^{48} +(1.42617 + 6.85318i) q^{49} +(-7.01260 - 0.907403i) q^{50} +(5.25975 + 2.93168i) q^{51} +(-3.56960 + 3.38673i) q^{52} +(0.400295 - 0.107259i) q^{53} +(-5.02627 + 5.36065i) q^{54} +(0.747450 - 1.13745i) q^{55} +(5.61497 + 4.94693i) q^{56} +(-0.535075 + 2.12482i) q^{57} +(0.0469966 - 3.57618i) q^{58} +(7.68973 + 4.43967i) q^{59} +(5.08689 + 5.84154i) q^{60} +(-7.80340 + 4.50529i) q^{61} +(0.947573 - 1.59254i) q^{62} +(4.81991 - 6.30623i) q^{63} +(7.97515 + 0.630106i) q^{64} +(4.10817 - 3.65896i) q^{65} +(-1.43940 + 0.388721i) q^{66} +(9.02335 - 2.41780i) q^{67} +(-6.76120 + 1.62249i) q^{68} +(-1.21201 - 2.02789i) q^{69} +(-6.10048 - 5.72574i) q^{70} -7.86817i q^{71} +(0.0781319 - 8.48492i) q^{72} +(7.52753 - 2.01699i) q^{73} +(1.86697 - 6.61850i) q^{74} +(-5.47888 - 6.70686i) q^{75} +(-1.20705 - 2.22364i) q^{76} +(1.50469 - 0.573918i) q^{77} +(-6.02643 + 0.0118502i) q^{78} +(5.78844 - 3.34196i) q^{79} +(-8.88989 - 0.984850i) q^{80} +(-8.98357 + 0.543528i) q^{81} +(-0.233254 + 17.7493i) q^{82} +(5.80831 + 5.80831i) q^{83} +(0.836647 + 9.12688i) q^{84} +(7.61261 - 1.57511i) q^{85} +(-3.75079 + 3.65349i) q^{86} +(3.05019 - 3.14377i) q^{87} +(0.918902 - 1.45588i) q^{88} +(6.06746 + 10.5092i) q^{89} +(-0.385974 + 9.47898i) q^{90} +(6.47508 - 0.666602i) q^{91} +(2.61554 + 0.775048i) q^{92} +(2.18315 - 0.620469i) q^{93} +(-1.01647 + 3.60344i) q^{94} +(1.27058 + 2.52736i) q^{95} +(6.56894 + 7.26973i) q^{96} +(8.73825 - 8.73825i) q^{97} +(-1.88938 - 9.71752i) q^{98} +(-1.60827 - 0.864835i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 704 q - 16 q^{6} - 24 q^{7} + 12 q^{10} + 10 q^{12} + 32 q^{15} - 72 q^{16} + 6 q^{18} + 64 q^{22} - 8 q^{25} + 24 q^{28} + 8 q^{30} - 16 q^{31} + 44 q^{33} - 240 q^{36} + 16 q^{40} - 78 q^{42} - 8 q^{46}+ \cdots - 80 q^{97}+O(q^{100}) $ 704 * q - 16 * q^6 - 24 * q^7 + 12 * q^10 + 10 * q^12 + 32 * q^15 - 72 * q^16 + 6 * q^18 + 64 * q^22 - 8 * q^25 + 24 * q^28 + 8 * q^30 - 16 * q^31 + 44 * q^33 - 240 * q^36 + 16 * q^40 - 78 * q^42 - 8 * q^46 - 20 * q^48 - 60 * q^52 + 272 * q^55 + 8 * q^57 - 20 * q^58 - 14 * q^60 + 12 * q^63 - 84 * q^66 + 112 * q^70 - 38 * q^72 + 104 * q^73 - 64 * q^76 - 16 * q^78 - 168 * q^81 - 72 * q^82 - 64 * q^87 + 52 * q^88 - 44 * q^90 + 40 * q^96 - 80 * q^97

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/840\mathbb{Z}\right)^\times$.

$n$	$241$	$281$	$337$	$421$	$631$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{3}{4}\right)$	$-1$	$1$

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 $

$2$	−1.41409	−	0.0185834i	−0.999914	−	0.0131404i
$2$	−1.41409	−	0.0185834i	−0.999914	−	0.0131404i
$3$	−1.24311	−	1.20610i	−0.717708	−	0.696344i
$3$	−1.24311	−	1.20610i	−0.717708	−	0.696344i
$4$	1.99931	+	0.0525572i	0.999655	+	0.0262786i
$5$	−2.23234	−	0.129106i	−0.998332	−	0.0577379i
$5$	−2.23234	−	0.129106i	−0.998332	−	0.0577379i
$6$	1.73545	+	1.72864i	0.708496	+	0.705715i
$7$	−2.05258	−	1.66941i	−0.775802	−	0.630976i
$7$	−2.05258	−	1.66941i	−0.775802	−	0.630976i
$8$	−2.82623	−	0.111475i	−0.999223	−	0.0394122i
$9$	0.0906294	+	2.99863i	0.0302098	+	0.999544i
$10$	3.15433	+	0.224052i	0.997487	+	0.0708515i
$11$	−0.304342	+	0.527135i	−0.0917625	+	0.158937i	−0.908253	−	0.418422i	$-0.862583\pi$
$11$	−0.304342	+	0.527135i	−0.0917625	+	0.158937i	0.816490	+	0.577359i	$0.195917\pi$
$12$	−2.42197	−	2.47671i	−0.699161	−	0.714964i
$13$	−1.73968	+	1.73968i	−0.482501	+	0.482501i	−0.905930	−	0.423428i	$-0.860827\pi$
$13$	−1.73968	+	1.73968i	−0.482501	+	0.482501i	0.423428	+	0.905930i	$0.360827\pi$
$14$	2.87151	+	2.39884i	0.767444	+	0.641116i
$15$	2.61932	+	2.85292i	0.676305	+	0.736621i
$16$	3.99448	+	0.210156i	0.998619	+	0.0525391i
$17$	−3.35811	+	0.899804i	−0.814462	+	0.218234i	−0.641924	−	0.766768i	$-0.721864\pi$
$17$	−3.35811	+	0.899804i	−0.814462	+	0.218234i	−0.172538	+	0.985003i	$0.555197\pi$
$18$	−0.0724335	−	4.24202i	−0.0170727	−	0.999854i
$19$	−0.632532	−	1.09558i	−0.145113	−	0.251343i	0.784302	−	0.620379i	$-0.213021\pi$
$19$	−0.632532	−	1.09558i	−0.145113	−	0.251343i	−0.929415	+	0.369036i	$0.879688\pi$
$20$	−4.45635	−	0.375448i	−0.996470	−	0.0839528i
$21$	0.538100	+	4.55087i	0.117423	+	0.993082i
$22$	0.440163	−	0.739762i	0.0938431	−	0.157718i
$23$	1.31750	+	0.353024i	0.274718	+	0.0736105i	0.393548	−	0.919304i	$-0.371248\pi$
$23$	1.31750	+	0.353024i	0.274718	+	0.0736105i	−0.118830	+	0.992915i	$0.537914\pi$
$24$	3.37886	+	3.54730i	0.689706	+	0.724090i
$25$	4.96666	+	0.576416i	0.993333	+	0.115283i
$26$	2.49240	−	2.42774i	0.488800	−	0.476120i
$27$	3.50400	−	3.83693i	0.674344	−	0.738417i
$28$	−4.01600	−	3.44554i	−0.758953	−	0.651145i
$29$			2.52896i			0.469616i	0.972042	+	0.234808i	$0.0754462\pi$
$29$			2.52896i			0.469616i	−0.972042	+	0.234808i	$0.924554\pi$
$30$	−3.65094	−	4.08297i	−0.666567	−	0.745445i
$31$	−0.655180	+	1.13481i	−0.117674	+	0.203817i	−0.918845	−	0.394618i	$-0.870877\pi$
$31$	−0.655180	+	1.13481i	−0.117674	+	0.203817i	0.801172	+	0.598435i	$0.204210\pi$
$32$	−5.64465	−	0.371411i	−0.997842	−	0.0656568i
$33$	1.01411	−	0.288218i	0.176534	−	0.0501723i
$34$	4.76540	−	1.21000i	0.817260	−	0.207513i
$35$	4.36652	+	3.99168i	0.738077	+	0.674717i
$36$	0.0235965	+	5.99995i	0.00393274	+	0.999992i
$37$	−1.25854	+	4.69693i	−0.206902	+	0.772170i	0.781959	+	0.623330i	$0.214221\pi$
$37$	−1.25854	+	4.69693i	−0.206902	+	0.772170i	−0.988861	+	0.148840i	$0.952446\pi$
$38$	0.874098	+	1.56100i	0.141797	+	0.253228i
$39$	4.26085	−	0.0643744i	0.682282	−	0.0103082i
$40$	6.29471	+	0.613732i	0.995281	+	0.0970396i
$41$		−	12.5517i		−	1.96025i	−0.198375	−	0.980126i	$-0.563566\pi$
$41$		−	12.5517i		−	1.96025i	0.198375	−	0.980126i	$-0.436434\pi$
$42$	−0.676352	−	6.44535i	−0.104363	−	0.994539i
$43$	2.61803	−	2.61803i	0.399246	−	0.399246i	−0.478721	−	0.877967i	$-0.658899\pi$
$43$	2.61803	−	2.61803i	0.399246	−	0.399246i	0.877967	+	0.478721i	$0.158899\pi$
$44$	−0.636178	+	1.03791i	−0.0959074	+	0.156471i
$45$	0.184826	−	6.70566i	0.0275522	−	0.999620i
$46$	−1.85651	−	0.523692i	−0.273727	−	0.0772141i
$47$	0.685210	−	2.55724i	0.0999482	−	0.373012i	−0.897775	−	0.440455i	$-0.854817\pi$
$47$	0.685210	−	2.55724i	0.0999482	−	0.373012i	0.997723	+	0.0674427i	$0.0214840\pi$
$48$	−4.71209	−	5.07900i	−0.680132	−	0.733090i
$49$	1.42617	+	6.85318i	0.203738	+	0.979025i
$50$	−7.01260	−	0.907403i	−0.991732	−	0.128326i
$51$	5.25975	+	2.93168i	0.736512	+	0.410517i
$52$	−3.56960	+	3.38673i	−0.495014	+	0.469655i
$53$	0.400295	−	0.107259i	0.0549847	−	0.0147331i	−0.231222	−	0.972901i	$-0.574272\pi$
$53$	0.400295	−	0.107259i	0.0549847	−	0.0147331i	0.286207	+	0.958168i	$0.407606\pi$
$54$	−5.02627	+	5.36065i	−0.683989	+	0.729492i
$55$	0.747450	−	1.13745i	0.100786	−	0.153374i
$56$	5.61497	+	4.94693i	0.750331	+	0.661062i
$57$	−0.535075	+	2.12482i	−0.0708724	+	0.281439i
$58$	0.0469966	−	3.57618i	0.00617096	−	0.469576i
$59$	7.68973	+	4.43967i	1.00112	+	0.577995i	0.908579	−	0.417714i	$-0.137169\pi$
$59$	7.68973	+	4.43967i	1.00112	+	0.577995i	0.0925385	+	0.995709i	$0.470502\pi$
$60$	5.08689	+	5.84154i	0.656714	+	0.754139i
$61$	−7.80340	+	4.50529i	−0.999122	+	0.576844i	−0.907989	−	0.418995i	$-0.862382\pi$
$61$	−7.80340	+	4.50529i	−0.999122	+	0.576844i	−0.0911339	+	0.995839i	$0.529049\pi$
$62$	0.947573	−	1.59254i	0.120342	−	0.202253i
$63$	4.81991	−	6.30623i	0.607251	−	0.794510i
$64$	7.97515	+	0.630106i	0.996893	+	0.0787632i
$65$	4.10817	−	3.65896i	0.509555	−	0.453838i
$66$	−1.43940	+	0.388721i	−0.177178	+	0.0478482i
$67$	9.02335	−	2.41780i	1.10238	−	0.295381i	0.338645	−	0.940914i	$-0.390031\pi$
$67$	9.02335	−	2.41780i	1.10238	−	0.295381i	0.763732	+	0.645533i	$0.223365\pi$
$68$	−6.76120	+	1.62249i	−0.819916	+	0.196756i
$69$	−1.21201	−	2.02789i	−0.145909	−	0.244129i
$70$	−6.10048	−	5.72574i	−0.729147	−	0.684357i
$71$		−	7.86817i		−	0.933780i	−0.884315	−	0.466890i	$-0.845374\pi$
$71$		−	7.86817i		−	0.933780i	0.884315	−	0.466890i	$-0.154626\pi$
$72$	0.0781319	−	8.48492i	0.00920793	−	0.999958i
$73$	7.52753	−	2.01699i	0.881030	−	0.236071i	0.210179	−	0.977663i	$-0.432595\pi$
$73$	7.52753	−	2.01699i	0.881030	−	0.236071i	0.670852	+	0.741592i	$0.265929\pi$
$74$	1.86697	−	6.61850i	0.217031	−	0.769385i
$75$	−5.47888	−	6.70686i	−0.632646	−	0.774441i
$76$	−1.20705	−	2.22364i	−0.138458	−	0.255069i
$77$	1.50469	−	0.573918i	0.171475	−	0.0654040i
$78$	−6.02643	+	0.0118502i	−0.682359	+	0.00134178i
$79$	5.78844	−	3.34196i	0.651250	−	0.375999i	−0.137685	−	0.990476i	$-0.543966\pi$
$79$	5.78844	−	3.34196i	0.651250	−	0.375999i	0.788935	+	0.614477i	$0.210633\pi$
$80$	−8.88989	−	0.984850i	−0.993919	−	0.110110i
$81$	−8.98357	+	0.543528i	−0.998175	+	0.0603920i
$82$	−0.233254	+	17.7493i	−0.0257586	+	1.96008i
$83$	5.80831	+	5.80831i	0.637545	+	0.637545i	0.949949	−	0.312404i	$-0.101134\pi$
$83$	5.80831	+	5.80831i	0.637545	+	0.637545i	−0.312404	+	0.949949i	$0.601134\pi$
$84$	0.836647	+	9.12688i	0.0912857	+	0.995825i
$85$	7.61261	−	1.57511i	0.825704	−	0.170845i
$86$	−3.75079	+	3.65349i	−0.404458	+	0.393966i
$87$	3.05019	−	3.14377i	0.327014	−	0.337047i
$88$	0.918902	−	1.45588i	0.0979553	−	0.155197i
$89$	6.06746	+	10.5092i	0.643150	+	1.11397i	0.984726	+	0.174114i	$0.0557060\pi$
$89$	6.06746	+	10.5092i	0.643150	+	1.11397i	−0.341576	+	0.939854i	$0.610961\pi$
$90$	−0.385974	+	9.47898i	−0.0406853	+	0.999172i
$91$	6.47508	−	0.666602i	0.678773	−	0.0698788i
$92$	2.61554	+	0.775048i	0.272689	+	0.0808043i
$93$	2.18315	−	0.620469i	0.226382	−	0.0643397i
$94$	−1.01647	+	3.60344i	−0.104841	+	0.371666i
$95$	1.27058	+	2.52736i	0.130359	+	0.259302i
$96$	6.56894	+	7.26973i	0.670440	+	0.741964i
$97$	8.73825	−	8.73825i	0.887235	−	0.887235i	−0.107021	−	0.994257i	$-0.534131\pi$
$97$	8.73825	−	8.73825i	0.887235	−	0.887235i	0.994257	+	0.107021i	$0.0341313\pi$
$98$	−1.88938	−	9.71752i	−0.190856	−	0.981618i
$99$	−1.60827	−	0.864835i	−0.161637	−	0.0869191i
$100$	9.89960	+	1.41347i	0.989960	+	0.141347i
$101$	8.46421	−	14.6604i	0.842221	−	1.45877i	−0.0457928	−	0.998951i	$-0.514581\pi$
$101$	8.46421	−	14.6604i	0.842221	−	1.45877i	0.888013	−	0.459818i	$-0.152085\pi$
$102$	−7.38329	−	4.24341i	−0.731054	−	0.420160i
$103$	−2.91783	+	10.8895i	−0.287503	+	1.07297i	0.659489	+	0.751715i	$0.270773\pi$
$103$	−2.91783	+	10.8895i	−0.287503	+	1.07297i	−0.946991	+	0.321260i	$0.895894\pi$
$104$	5.11068	−	4.72282i	0.501143	−	0.463110i
$105$	−0.613676	−	10.2286i	−0.0598887	−	0.998205i
$106$	−0.568046	+	0.144235i	−0.0551735	+	0.0140093i
$107$	16.2829	+	4.36299i	1.57413	+	0.421786i	0.937101	−	0.349057i	$-0.113498\pi$
$107$	16.2829	+	4.36299i	1.57413	+	0.421786i	0.637025	+	0.770843i	$0.280165\pi$
$108$	7.20723	−	7.48704i	0.693516	−	0.720441i
$109$	−0.862755	+	1.49434i	−0.0826370	+	0.143131i	−0.904382	−	0.426724i	$-0.859668\pi$
$109$	−0.862755	+	1.49434i	−0.0826370	+	0.143131i	0.821745	+	0.569856i	$0.193001\pi$
$110$	−1.07810	+	1.59457i	−0.102793	+	0.152036i
$111$	7.22948	−	4.32086i	0.686192	−	0.410118i
$112$	−7.84814	−	7.09976i	−0.741580	−	0.670865i
$113$	−12.0780	+	12.0780i	−1.13620	+	1.13620i	−0.147074	+	0.989125i	$0.546986\pi$
$113$	−12.0780	+	12.0780i	−1.13620	+	1.13620i	−0.989125	+	0.147074i	$0.953014\pi$
$114$	0.796131	−	2.99474i	0.0745645	−	0.280484i
$115$	−2.89553	−	0.958166i	−0.270010	−	0.0893494i
$116$	−0.132915	+	5.05617i	−0.0123409	+	0.469454i
$117$	−5.37434	−	5.05900i	−0.496858	−	0.467705i
$118$	−10.7915	−	6.42099i	−0.993436	−	0.591100i
$119$	8.39493	+	3.75914i	0.769562	+	0.344599i
$120$	−7.08477	−	8.35500i	−0.646748	−	0.762704i
$121$	5.31475	+	9.20542i	0.483159	+	0.836856i
$122$	11.1184	−	6.22588i	1.00662	−	0.563665i
$123$	−15.1387	+	15.6032i	−1.36501	+	1.40689i
$124$	−1.36955	+	2.23439i	−0.122989	+	0.200654i
$125$	−11.0129	−	1.92798i	−0.985019	−	0.172444i
$126$	−6.93298	+	8.82801i	−0.617639	+	0.786462i
$127$	8.93227	−	8.93227i	0.792611	−	0.792611i	−0.189307	−	0.981918i	$-0.560624\pi$
$127$	8.93227	−	8.93227i	0.792611	−	0.792611i	0.981918	+	0.189307i	$0.0606242\pi$
$128$	−11.2659	−	1.03923i	−0.995772	−	0.0918561i
$129$	−6.41211	+	0.0968764i	−0.564555	+	0.00852949i
$130$	−5.87732	+	5.09776i	−0.515475	+	0.447103i
$131$	−0.833172	−	1.44310i	−0.0727945	−	0.126084i	0.827331	−	0.561715i	$-0.189858\pi$
$131$	−0.833172	−	1.44310i	−0.0727945	−	0.126084i	−0.900125	+	0.435632i	$0.856525\pi$
$132$	2.04267	−	0.522938i	0.177791	−	0.0455159i
$133$	−0.530641	+	3.30471i	−0.0460124	+	0.286555i
$134$	−12.8048	+	3.25130i	−1.10616	+	0.280870i
$135$	−8.31747	+	8.11293i	−0.715854	+	0.698250i
$136$	9.59110	−	2.16871i	0.822430	−	0.185965i
$137$	9.73058	−	2.60730i	0.831340	−	0.222757i	0.182042	−	0.983291i	$-0.441729\pi$
$137$	9.73058	−	2.60730i	0.831340	−	0.222757i	0.649298	+	0.760534i	$0.275063\pi$
$138$	1.67621	+	2.89015i	0.142689	+	0.246026i
$139$	−19.3724			−1.64315			−0.821574	−	0.570102i	$-0.806904\pi$
$139$	−19.3724			−1.64315			−0.821574	+	0.570102i	$0.806904\pi$
$140$	8.52023	+	8.21009i	0.720091	+	0.693879i
$141$	−3.93609	+	2.35249i	−0.331478	+	0.198115i
$142$	−0.146217	+	11.1263i	−0.0122703	+	0.933699i
$143$	−0.387590	−	1.44651i	−0.0324119	−	0.120963i
$144$	−0.268164	+	11.9970i	−0.0223470	+	0.999750i
$145$	0.326504	−	5.64549i	0.0271147	−	0.468833i
$146$	−10.6821	+	2.71233i	−0.884056	+	0.224474i
$147$	6.49276	−	10.2393i	0.535514	−	0.844526i
$148$	−2.76306	+	9.32447i	−0.227122	+	0.766466i
$149$	0.229631	−	0.132578i	0.0188121	−	0.0108612i	−0.490564	−	0.871405i	$-0.663209\pi$
$149$	0.229631	−	0.132578i	0.0188121	−	0.0108612i	0.509377	+	0.860544i	$0.329876\pi$
$150$	7.62300	+	9.58592i	0.622415	+	0.782687i
$151$	−8.30777	+	14.3895i	−0.676076	+	1.17100i	0.300077	+	0.953915i	$0.402988\pi$
$151$	−8.30777	+	14.3895i	−0.676076	+	1.17100i	−0.976153	+	0.217084i	$0.930346\pi$
$152$	1.66555	+	3.16686i	0.135094	+	0.256867i
$153$	−3.00252	−	9.98819i	−0.242740	−	0.807498i
$154$	−2.13843	+	0.783610i	−0.172320	+	0.0631451i
$155$	1.60909	−	2.44868i	0.129246	−	0.196683i
$156$	8.52214	+	0.0952341i	0.682318	+	0.00762483i
$157$	−20.4710	+	5.48519i	−1.63376	+	0.437766i	−0.955004	−	0.296594i	$-0.904149\pi$
$157$	−20.4710	+	5.48519i	−1.63376	+	0.437766i	−0.678761	+	0.734360i	$0.737483\pi$
$158$	−8.24748	+	4.61826i	−0.656134	+	0.367409i
$159$	−0.626974	−	0.349463i	−0.0497223	−	0.0277142i
$160$	12.5528	+	1.55787i	0.992387	+	0.123161i
$161$	−2.11494	−	2.92406i	−0.166681	−	0.230448i
$162$	12.7137	−	0.601653i	0.998882	−	0.0472703i
$163$	21.6104	+	5.79048i	1.69265	+	0.453546i	0.971073	−	0.238783i	$-0.0767486\pi$
$163$	21.6104	+	5.79048i	1.69265	+	0.453546i	0.721582	+	0.692329i	$0.243415\pi$
$164$	0.659685	−	25.0948i	0.0515127	−	1.95958i
$165$	−2.30104	+	0.512472i	−0.179136	+	0.0398959i
$166$	−8.10555	−	8.32142i	−0.629113	−	0.645868i
$167$	−7.48680	−	7.48680i	−0.579346	−	0.579346i	0.355377	−	0.934723i	$-0.384352\pi$
$167$	−7.48680	−	7.48680i	−0.579346	−	0.579346i	−0.934723	+	0.355377i	$0.884352\pi$
$168$	−1.01349	−	12.9218i	−0.0781922	−	0.996938i
$169$			6.94700i			0.534385i
$170$	−10.7942	+	2.08589i	−0.827878	+	0.159980i
$171$	3.22791	−	1.99602i	0.246844	−	0.152640i
$172$	5.37186	−	5.09666i	0.409600	−	0.388617i
$173$	−2.28226	+	8.51752i	−0.173517	+	0.647575i	0.823282	+	0.567632i	$0.192140\pi$
$173$	−2.28226	+	8.51752i	−0.173517	+	0.647575i	−0.996799	+	0.0799427i	$0.974526\pi$
$174$	−4.37167	+	4.38889i	−0.331415	+	0.332721i
$175$	−9.23220	−	9.47452i	−0.697889	−	0.716206i
$176$	−1.32647	+	2.04167i	−0.0999862	+	0.153897i
$177$	−4.20446	−	14.7936i	−0.316026	−	1.11195i
$178$	−8.38465	−	14.9737i	−0.628456	−	1.12232i
$179$	−3.09194	−	1.78513i	−0.231102	−	0.133427i	0.379978	−	0.924995i	$-0.375931\pi$
$179$	−3.09194	−	1.78513i	−0.231102	−	0.133427i	−0.611080	+	0.791569i	$0.709265\pi$
$180$	0.721955	−	13.3970i	0.0538113	−	0.998551i
$181$			20.2637i			1.50619i	0.657914	+	0.753093i	$0.271439\pi$
$181$			20.2637i			1.50619i	−0.657914	+	0.753093i	$0.728561\pi$
$182$	−9.16874	+	0.822307i	−0.679632	+	0.0609534i
$183$	15.1343	+	3.81114i	1.11876	+	0.281728i
$184$	−3.68421	−	1.14459i	−0.271604	−	0.0843806i
$185$	3.41588	−	10.3226i	0.251141	−	0.758936i
$186$	−3.09871	+	0.836830i	−0.227208	+	0.0613594i
$187$	0.547696	−	2.04403i	0.0400515	−	0.149474i
$188$	1.50435	−	5.07670i	0.109716	−	0.370257i
$189$	−13.5976	+	2.02601i	−0.989081	+	0.147370i
$190$	−1.74975	−	3.59753i	−0.126940	−	0.260993i
$191$	−9.86872	+	5.69771i	−0.714076	+	0.412272i	−0.812568	−	0.582866i	$-0.801931\pi$
$191$	−9.86872	+	5.69771i	−0.714076	+	0.412272i	0.0984925	+	0.995138i	$0.468598\pi$
$192$	−9.15399	−	10.4021i	−0.660632	−	0.750710i
$193$	−24.1212	+	6.46325i	−1.73628	+	0.465235i	−0.981614	−	0.190874i	$-0.938868\pi$
$193$	−24.1212	+	6.46325i	−1.73628	+	0.465235i	−0.754666	+	0.656109i	$0.772201\pi$
$194$	−12.5191	+	12.1943i	−0.898817	+	0.875500i
$195$	−9.51997	−	0.406396i	−0.681739	−	0.0291026i
$196$	2.49117	+	13.7766i	0.177941	+	0.984041i
$197$	−6.29191	+	6.29191i	−0.448280	+	0.448280i	−0.894782	−	0.446502i	$-0.852669\pi$
$197$	−6.29191	+	6.29191i	−0.448280	+	0.448280i	0.446502	+	0.894782i	$0.352669\pi$
$198$	2.25816	+	1.25284i	0.160481	+	0.0890356i
$199$	13.9899	+	8.07710i	0.991721	+	0.572570i	0.905788	−	0.423731i	$-0.139280\pi$
$199$	13.9899	+	8.07710i	0.991721	+	0.572570i	0.0859327	+	0.996301i	$0.472613\pi$
$200$	−13.9727	−	2.18274i	−0.988017	−	0.154343i
$201$	−14.1331	−	7.87751i	−0.996872	−	0.555637i
$202$	−12.2416	+	20.5739i	−0.861317	+	1.44758i
$203$	4.22186	−	5.19089i	0.296317	−	0.364329i
$204$	10.3618	+	6.13777i	0.725470	+	0.429730i
$205$	−1.62050	+	28.0197i	−0.113181	+	1.95698i
$206$	4.32845	−	15.3445i	0.301577	−	1.06910i
$207$	−0.939183	+	3.98270i	−0.0652778	+	0.276817i
$208$	−7.31473	+	6.58352i	−0.507185	+	0.456485i
$209$	0.770023			0.0532636
$210$	0.677713	+	14.4755i	0.0467666	+	0.998906i
$211$		−	17.2868i		−	1.19008i	−0.803698	−	0.595038i	$-0.797137\pi$
$211$		−	17.2868i		−	1.19008i	0.803698	−	0.595038i	$-0.202863\pi$
$212$	0.805950	−	0.193405i	0.0553529	−	0.0132831i
$213$	−9.48983	+	9.78098i	−0.650232	+	0.670181i
$214$	−22.9444	−	6.47226i	−1.56845	−	0.442434i
$215$	−6.18234	+	5.50633i	−0.421632	+	0.375529i
$216$	−10.3308	+	10.4534i	−0.702923	+	0.711266i
$217$	3.23926	−	1.23552i	0.219895	−	0.0838724i
$218$	1.24778	−	2.09709i	0.0845106	−	0.142033i
$219$	−11.7902	−	6.57164i	−0.796710	−	0.444070i
$220$	1.55416	−	2.23483i	0.104782	−	0.150672i
$221$	4.27668	−	7.40743i	0.287681	−	0.498278i
$222$	−10.3034	+	5.97574i	−0.691522	+	0.401065i
$223$	−8.03239	−	8.03239i	−0.537889	−	0.537889i	0.385020	−	0.922908i	$-0.374195\pi$
$223$	−8.03239	−	8.03239i	−0.537889	−	0.537889i	−0.922908	+	0.385020i	$0.874195\pi$
$224$	10.9661	+	10.1856i	0.732700	+	0.680551i
$225$	−1.27833	+	14.9454i	−0.0852223	+	0.996362i
$226$	17.3038	−	16.8549i	1.15103	−	1.12117i
$227$	0.979788	+	3.65662i	0.0650308	+	0.242698i	0.990788	−	0.135419i	$-0.0432381\pi$
$227$	0.979788	+	3.65662i	0.0650308	+	0.242698i	−0.925758	+	0.378118i	$0.876571\pi$
$228$	−1.18145	+	4.22005i	−0.0782437	+	0.279480i
$229$	−9.02500	−	15.6318i	−0.596389	−	1.03298i	−0.993349	−	0.115140i	$-0.963268\pi$
$229$	−9.02500	−	15.6318i	−0.596389	−	1.03298i	0.396960	−	0.917836i	$-0.370065\pi$
$230$	4.07674	+	1.40874i	0.268812	+	0.0928897i
$231$	−2.56269	−	1.10137i	−0.168613	−	0.0724648i
$232$	0.281915	−	7.14742i	0.0185086	−	0.469251i
$233$	0.535843	+	0.143579i	0.0351043	+	0.00940616i	0.276328	−	0.961063i	$-0.410882\pi$
$233$	0.535843	+	0.143579i	0.0351043	+	0.00940616i	−0.241224	+	0.970469i	$0.577549\pi$
$234$	7.50579	+	7.25377i	0.490669	+	0.474194i
$235$	−1.85978	+	5.62016i	−0.121318	+	0.366619i
$236$	15.1408	+	9.28042i	0.985583	+	0.604104i
$237$	−11.2264	−	2.82704i	−0.729232	−	0.183636i
$238$	−11.8013	−	5.47177i	−0.764968	−	0.354682i
$239$	3.27160			0.211622			0.105811	−	0.994386i	$-0.466256\pi$
$239$	3.27160			0.211622			0.105811	+	0.994386i	$0.466256\pi$
$240$	9.86325	+	11.9464i	0.636670	+	0.771137i
$241$	12.6558	−	21.9204i	0.815230	−	1.41202i	−0.0939334	−	0.995578i	$-0.529944\pi$
$241$	12.6558	−	21.9204i	0.815230	−	1.41202i	0.909163	−	0.416441i	$-0.136723\pi$
$242$	−7.34448	−	13.1161i	−0.472121	−	0.843133i
$243$	11.8231	+	10.1595i	0.758452	+	0.651729i
$244$	−15.8382	+	8.59735i	−1.01394	+	0.550389i
$245$	−2.29890	−	15.4827i	−0.146871	−	0.989156i
$246$	21.6975	−	21.7830i	1.38338	−	1.38883i
$247$	3.00636	+	0.805553i	0.191290	+	0.0512561i
$248$	1.97819	−	3.13419i	0.125615	−	0.199021i
$249$	−0.214928	−	14.2258i	−0.0136205	−	0.901522i
$250$	15.5374	+	2.93100i	0.982668	+	0.185373i
$251$	7.52869			0.475207			0.237603	−	0.971362i	$-0.423638\pi$
$251$	7.52869			0.475207			0.237603	+	0.971362i	$0.423638\pi$
$252$	9.96792	−	12.3548i	0.627920	−	0.778278i
$253$	−0.587062	+	0.587062i	−0.0369083	+	0.0369083i
$254$	−12.7970	+	12.4651i	−0.802957	+	0.782127i
$255$	−11.3630	−	7.22356i	−0.711581	−	0.452357i
$256$	15.9117	+	1.67893i	0.994479	+	0.104933i
$257$	−1.88551	+	7.03681i	−0.117615	+	0.438944i	−0.999469	−	0.0325777i	$-0.989628\pi$
$257$	−1.88551	+	7.03681i	−0.117615	+	0.438944i	0.881855	+	0.471522i	$0.156295\pi$
$258$	9.06912	−	0.0178333i	0.564619	−	0.00111025i
$259$	10.4243	−	7.53981i	0.647736	−	0.468501i
$260$	8.40580	−	7.09948i	0.521305	−	0.440291i
$261$	−7.58342	+	0.229198i	−0.469402	+	0.0141870i
$262$	1.15136	+	2.05615i	0.0711315	+	0.127030i
$263$	5.89304	+	21.9931i	0.363381	+	1.35616i	0.869603	+	0.493752i	$0.164375\pi$
$263$	5.89304	+	21.9931i	0.363381	+	1.35616i	−0.506222	+	0.862403i	$0.668958\pi$
$264$	−2.89823	+	0.701523i	−0.178374	+	0.0431757i
$265$	−0.907440	+	0.187757i	−0.0557436	+	0.0115338i
$266$	0.811788	−	4.66331i	0.0497739	−	0.285926i
$267$	5.13262	−	20.3820i	0.314111	−	1.24736i
$268$	18.1675	−	4.35969i	1.10976	−	0.266310i
$269$	12.3826	+	7.14911i	0.754982	+	0.435889i	0.827491	−	0.561479i	$-0.189767\pi$
$269$	12.3826	+	7.14911i	0.754982	+	0.435889i	−0.0725094	+	0.997368i	$0.523101\pi$
$270$	11.9124	−	11.3179i	0.724968	−	0.688783i
$271$	−5.25408	−	9.10033i	−0.319162	−	0.552805i	0.661151	−	0.750253i	$-0.270068\pi$
$271$	−5.25408	−	9.10033i	−0.319162	−	0.552805i	−0.980314	+	0.197447i	$0.936735\pi$
$272$	−13.6030	+	2.88852i	−0.824803	+	0.175142i
$273$	−8.85320	−	6.98096i	−0.535820	−	0.422507i
$274$	−13.8084	+	3.50614i	−0.834195	+	0.211813i
$275$	−1.81541	+	2.44268i	−0.109473	+	0.147299i
$276$	−2.31661	−	4.11808i	−0.139444	−	0.247879i
$277$	22.4351	−	6.01148i	1.34800	−	0.361195i	0.488602	−	0.872507i	$-0.337507\pi$
$277$	22.4351	−	6.01148i	1.34800	−	0.361195i	0.859395	+	0.511312i	$0.170840\pi$
$278$	27.3944	+	0.360005i	1.64301	+	0.0215917i
$279$	−3.46224	−	1.86180i	−0.207279	−	0.111463i
$280$	−11.8958	−	11.7682i	−0.710911	−	0.703282i
$281$			10.8770i			0.648866i	0.945909	+	0.324433i	$0.105173\pi$
$281$			10.8770i			0.648866i	−0.945909	+	0.324433i	$0.894827\pi$
$282$	5.60970	−	3.25349i	0.334053	−	0.193742i
$283$	−3.16671	−	11.8183i	−0.188241	−	0.702526i	−0.993913	−	0.110164i	$-0.964862\pi$
$283$	−3.16671	−	11.8183i	−0.188241	−	0.702526i	0.805672	−	0.592362i	$-0.201804\pi$
$284$	0.413529	−	15.7309i	0.0245384	−	0.933458i
$285$	1.46879	−	4.67423i	0.0870039	−	0.276878i
$286$	0.521207	+	2.05270i	0.0308196	+	0.121378i
$287$	−20.9539	+	25.7634i	−1.23687	+	1.52077i
$288$	0.602154	−	16.9599i	0.0354822	−	0.999370i
$289$	−4.25515	+	2.45671i	−0.250303	+	0.144513i
$290$	−0.566619	+	7.97718i	−0.0332730	+	0.468436i
$291$	−21.4018	+	0.323346i	−1.25460	+	0.0189549i
$292$	15.1559	−	3.63697i	0.886930	−	0.212838i
$293$	9.21958	+	9.21958i	0.538614	+	0.538614i	0.923122	−	0.384508i	$-0.125629\pi$
$293$	9.21958	+	9.21958i	0.538614	+	0.538614i	−0.384508	+	0.923122i	$0.625629\pi$
$294$	−9.37164	+	14.3587i	−0.546565	+	0.837417i
$295$	−16.5929	−	10.9036i	−0.966075	−	0.634834i
$296$	4.08051	−	13.1343i	0.237175	−	0.763416i
$297$	0.956167	+	3.01482i	0.0554825	+	0.174937i
$298$	−0.327183	+	0.183210i	−0.0189532	+	0.0106131i
$299$	−2.90619	+	1.67789i	−0.168069	+	0.0970348i
$300$	−10.6015	−	13.6970i	−0.612076	−	0.790799i
$301$	−9.74428	+	1.00316i	−0.561651	+	0.0578213i
$302$	12.0153	−	20.1936i	0.691405	−	1.16201i
$303$	−28.2039	+	8.01578i	−1.62027	+	0.460495i
$304$	−2.29639	−	4.50919i	−0.131707	−	0.258620i
$305$	18.0015	−	9.04987i	1.03076	−	0.518194i
$306$	4.06023	+	14.1800i	0.232108	+	0.810618i
$307$	5.75656	+	5.75656i	0.328544	+	0.328544i	0.852033	−	0.523488i	$-0.175370\pi$
$307$	5.75656	+	5.75656i	0.328544	+	0.328544i	−0.523488	+	0.852033i	$0.675370\pi$
$308$	3.03850	−	1.06836i	0.173135	−	0.0608753i
$309$	16.7610	−	10.0176i	0.953502	−	0.569882i
$310$	−2.32091	+	3.43276i	−0.131819	+	0.194968i
$311$	27.0109	+	15.5947i	1.53165	+	0.884297i	0.999286	+	0.0377793i	$0.0120284\pi$
$311$	27.0109	+	15.5947i	1.53165	+	0.884297i	0.532361	+	0.846518i	$0.321305\pi$
$312$	−12.0493	−	0.293040i	−0.682158	−	0.0165901i
$313$	−5.10838	+	19.0647i	−0.288743	+	1.07760i	0.657318	+	0.753614i	$0.271691\pi$
$313$	−5.10838	+	19.0647i	−0.288743	+	1.07760i	−0.946061	+	0.323990i	$0.894976\pi$
$314$	29.0498	−	7.37614i	1.63938	−	0.416260i
$315$	−11.5738	+	13.4553i	−0.652112	+	0.758123i
$316$	11.7485	−	6.37738i	0.660906	−	0.358756i
$317$	17.7760	+	4.76307i	0.998401	+	0.267521i	0.720776	−	0.693169i	$-0.243786\pi$
$317$	17.7760	+	4.76307i	0.998401	+	0.267521i	0.277626	+	0.960689i	$0.410453\pi$
$318$	0.880104	+	0.505824i	0.0493538	+	0.0283652i
$319$	−1.33310	−	0.769668i	−0.0746395	−	0.0430931i
$320$	−17.7219	−	2.43625i	−0.990683	−	0.136190i
$321$	−14.9792	−	25.0625i	−0.836055	−	1.39885i
$322$	2.93638	+	4.17419i	0.163638	+	0.232618i
$323$	3.10992	+	3.10992i	0.173041	+	0.173041i
$324$	−17.9895	+	0.614529i	−0.999417	+	0.0341405i
$325$	−9.64321	+	7.63764i	−0.534909	+	0.423660i
$326$	−30.4514	−	8.58986i	−1.68655	−	0.475749i
$327$	2.87482	−	0.817047i	0.158978	−	0.0451828i
$328$	−1.39920	+	35.4741i	−0.0772579	+	1.95873i
$329$	−5.67552	+	4.10505i	−0.312902	+	0.226318i
$330$	3.26341	−	0.681922i	0.179645	−	0.0375385i
$331$	1.98444	−	1.14571i	0.109074	−	0.0629742i	−0.444470	−	0.895794i	$-0.646608\pi$
$331$	1.98444	−	1.14571i	0.109074	−	0.0629742i	0.553545	+	0.832819i	$0.313275\pi$
$332$	11.3073	+	11.9179i	0.620571	+	0.654079i
$333$	−14.1984	−	3.34821i	−0.778068	−	0.183481i
$334$	10.4479	+	10.7261i	0.571683	+	0.586909i
$335$	−20.4553	+	4.23238i	−1.11759	+	0.231239i
$336$	1.19303	+	18.2914i	0.0650853	+	0.997880i
$337$	1.72393	−	1.72393i	0.0939082	−	0.0939082i	−0.658592	−	0.752500i	$-0.728848\pi$
$337$	1.72393	−	1.72393i	0.0939082	−	0.0939082i	0.752500	+	0.658592i	$0.228848\pi$
$338$	0.129099	−	9.82369i	0.00702205	−	0.534338i
$339$	29.5815	−	0.446927i	1.60665	−	0.0242738i
$340$	15.3028	−	2.74904i	0.829908	−	0.149088i
$341$	−0.398797	−	0.690737i	−0.0215961	−	0.0374055i
$342$	−4.60165	+	2.76257i	−0.248829	+	0.149383i
$343$	8.51341	−	16.4475i	0.459681	−	0.888084i
$344$	−7.69101	+	7.10732i	−0.414671	+	0.383201i
$345$	2.44381	+	4.68341i	0.131570	+	0.252147i
$346$	3.38561	−	12.0021i	0.182012	−	0.645239i
$347$	2.07518	+	7.74466i	0.111401	+	0.415755i	0.998993	−	0.0448767i	$-0.0142895\pi$
$347$	2.07518	+	7.74466i	0.111401	+	0.415755i	−0.887591	+	0.460632i	$0.847623\pi$
$348$	6.26350	−	6.12505i	0.335759	−	0.328337i
$349$	10.2163			0.546866			0.273433	−	0.961891i	$-0.411841\pi$
$349$	10.2163			0.546866			0.273433	+	0.961891i	$0.411841\pi$
$350$	12.8791	+	13.5694i	0.688417	+	0.725315i
$351$	0.579193	+	12.7709i	0.0309151	+	0.681659i
$352$	1.91369	−	2.86246i	0.102000	−	0.152570i
$353$	7.45664	+	27.8286i	0.396877	+	1.48117i	0.818559	+	0.574422i	$0.194773\pi$
$353$	7.45664	+	27.8286i	0.396877	+	1.48117i	−0.421682	+	0.906744i	$0.638560\pi$
$354$	5.67057	+	20.9976i	0.301387	+	1.11601i
$355$	−1.01583	+	17.5644i	−0.0539145	+	0.932222i
$356$	11.5784	+	21.3299i	0.613654	+	1.13048i
$357$	−5.90189	−	14.7982i	−0.312361	−	0.783202i
$358$	4.33911	+	2.58180i	0.229329	+	0.136452i
$359$	0.142892	+	0.247496i	0.00754155	+	0.0130623i	0.869772	−	0.493455i	$-0.164266\pi$
$359$	0.142892	+	0.247496i	0.00754155	+	0.0130623i	−0.862230	+	0.506517i	$0.830933\pi$
$360$	−1.26987	+	18.9311i	−0.0669281	+	0.997758i
$361$	8.69981	−	15.0685i	0.457885	−	0.793079i
$362$	0.376567	−	28.6547i	0.0197919	−	1.50606i
$363$	4.49588	−	17.8535i	0.235973	−	0.937064i
$364$	12.9807	−	0.992431i	0.680375	−	0.0520175i
$365$	−17.0644	+	3.53076i	−0.893191	+	0.184809i
$366$	−21.3305	−	5.67055i	−1.11496	−	0.296404i
$367$	5.46188	+	20.3840i	0.285108	+	1.06404i	0.948761	+	0.315996i	$0.102339\pi$
$367$	5.46188	+	20.3840i	0.285108	+	1.06404i	−0.663653	+	0.748041i	$0.730995\pi$
$368$	5.18854	+	1.68703i	0.270471	+	0.0879423i
$369$	37.6380	−	1.13756i	1.95936	−	0.0592188i
$370$	−5.02220	+	14.5337i	−0.261092	+	0.755570i
$371$	−1.00069	−	0.448097i	−0.0519535	−	0.0232641i
$372$	4.39741	−	1.12577i	0.227995	−	0.0583685i
$373$	11.9500	+	3.20199i	0.618748	+	0.165793i	0.554558	−	0.832145i	$-0.312887\pi$
$373$	11.9500	+	3.20199i	0.618748	+	0.165793i	0.0641892	+	0.997938i	$0.479554\pi$
$374$	−0.812477	+	2.88026i	−0.0420122	+	0.148935i
$375$	11.3648	+	15.6793i	0.586876	+	0.809677i
$376$	−2.22163	+	7.15096i	−0.114572	+	0.368783i
$377$	−4.39959	−	4.39959i	−0.226590	−	0.226590i
$378$	19.2659	−	2.61227i	0.990933	−	0.134361i
$379$	−18.6595			−0.958476			−0.479238	−	0.877685i	$-0.659087\pi$
$379$	−18.6595			−0.958476			−0.479238	+	0.877685i	$0.659087\pi$
$380$	2.40745	+	5.11976i	0.123500	+	0.262638i
$381$	−21.8770	+	0.330525i	−1.12079	+	0.0169333i
$382$	14.0612	−	7.87369i	0.719432	−	0.402853i
$383$	−36.3613	−	9.74297i	−1.85797	−	0.497843i	−0.858097	−	0.513488i	$-0.828353\pi$
$383$	−36.3613	−	9.74297i	−1.85797	−	0.497843i	−0.999878	+	0.0156454i	$0.995020\pi$
$384$	12.7513	+	14.8797i	0.650710	+	0.759326i
$385$	−3.43307	+	1.08691i	−0.174965	+	0.0553942i
$386$	34.2297	−	8.69137i	1.74224	−	0.442379i
$387$	8.08779	+	7.61324i	0.411125	+	0.387003i
$388$	17.9297	−	17.0112i	0.910244	−	0.863614i
$389$	15.5976	+	9.00526i	0.790828	+	0.456585i	0.840254	−	0.542193i	$-0.182406\pi$
$389$	15.5976	+	9.00526i	0.790828	+	0.456585i	−0.0494258	+	0.998778i	$0.515739\pi$
$390$	13.4546	+	0.751594i	0.681298	+	0.0380585i
$391$	−4.74198			−0.239812
$392$	−3.26672	−	19.5276i	−0.164994	−	0.986295i
$393$	−0.704801	+	2.79881i	−0.0355525	+	0.141181i
$394$	9.01426	−	8.78041i	0.454132	−	0.442351i
$395$	−13.3532	+	6.71305i	−0.671873	+	0.337770i
$396$	−3.16997	−	1.81360i	−0.159297	−	0.0911367i
$397$	8.81490	−	32.8977i	0.442407	−	1.65109i	−0.280285	−	0.959917i	$-0.590429\pi$
$397$	8.81490	−	32.8977i	0.442407	−	1.65109i	0.722692	−	0.691170i	$-0.242904\pi$
$398$	−19.6330	−	11.6817i	−0.984111	−	0.585553i
$399$	4.64547	−	3.46810i	0.232564	−	0.173622i
$400$	19.7181	+	3.34626i	0.985904	+	0.167313i
$401$	−4.57499	+	2.64137i	−0.228464	+	0.131904i	−0.609863	−	0.792507i	$-0.708776\pi$
$401$	−4.57499	+	2.64137i	−0.228464	+	0.131904i	0.381399	+	0.924410i	$0.375442\pi$
$402$	19.8391	+	11.4022i	0.989485	+	0.568688i
$403$	−0.834396	−	3.11401i	−0.0415642	−	0.155120i
$404$	17.6931	−	28.8659i	0.880264	−	1.43613i
$405$	20.1245	−	0.0535054i	0.999996	−	0.00265870i
$406$	−6.06656	+	7.26194i	−0.301078	+	0.360404i
$407$	−2.09289	−	2.09289i	−0.103741	−	0.103741i
$408$	−14.5385	−	8.87193i	−0.719761	−	0.439226i
$409$	11.6089	+	6.70240i	0.574023	+	0.331412i	0.758754	−	0.651377i	$-0.225808\pi$
$409$	11.6089	+	6.70240i	0.574023	+	0.331412i	−0.184732	+	0.982789i	$0.559142\pi$
$410$	2.81224	−	39.5923i	0.138887	−	1.95533i
$411$	−15.2408	−	8.49493i	−0.751775	−	0.419024i
$412$	−6.40597	+	21.6181i	−0.315600	+	1.06505i
$413$	−8.37217	−	21.9500i	−0.411968	−	1.08009i
$414$	1.40210	−	5.61445i	0.0689096	−	0.275935i
$415$	−12.2162	−	13.7160i	−0.599671	−	0.673292i
$416$	10.4660	−	9.17377i	0.513140	−	0.449781i
$417$	24.0820	+	23.3652i	1.17930	+	1.14420i
$418$	−1.08888	−	0.0143096i	−0.0532590	−	0.000699908i
$419$		−	3.87230i		−	0.189174i	−0.995517	−	0.0945871i	$-0.969847\pi$
$419$		−	3.87230i		−	0.189174i	0.995517	−	0.0945871i	$-0.0301531\pi$
$420$	−0.689344	−	20.4823i	−0.0336365	−	0.999434i
$421$		−	2.71835i		−	0.132484i	−0.997804	−	0.0662422i	$-0.978899\pi$
$421$		−	2.71835i		−	0.132484i	0.997804	−	0.0662422i	$-0.0211010\pi$
$422$	−0.321248	+	24.4452i	−0.0156381	+	1.18997i
$423$	7.73032	+	1.82293i	0.375861	+	0.0886340i
$424$	−1.14328	+	0.258515i	−0.0555226	+	0.0125546i
$425$	−17.1973	+	2.53335i	−0.834191	+	0.122886i
$426$	13.6012	−	13.6548i	0.658983	−	0.661579i
$427$	23.5383	+	3.77956i	1.13910	+	0.182906i
$428$	32.3252	+	9.57875i	1.56250	+	0.463006i
$429$	−1.26282	+	2.26564i	−0.0609696	+	0.109386i
$430$	8.84472	−	7.67157i	0.426530	−	0.369956i
$431$	31.7122	+	18.3091i	1.52752	+	0.881916i	0.999465	+	0.0327084i	$0.0104133\pi$
$431$	31.7122	+	18.3091i	1.52752	+	0.881916i	0.528059	+	0.849208i	$0.322920\pi$
$432$	14.8030	−	14.5901i	0.712209	−	0.701968i
$433$	25.1912	+	25.1912i	1.21061	+	1.21061i	0.970826	+	0.239787i	$0.0770776\pi$
$433$	25.1912	+	25.1912i	1.21061	+	1.21061i	0.239787	+	0.970826i	$0.422922\pi$
$434$	−4.60357	+	1.68694i	−0.220979	+	0.0809756i
$435$	−7.21493	+	6.62415i	−0.345929	+	0.317604i
$436$	−1.80345	+	2.94230i	−0.0863697	+	0.140910i
$437$	−0.446598	−	1.66673i	−0.0213637	−	0.0797303i
$438$	16.5503	+	9.51200i	0.790805	+	0.454501i
$439$	−13.1618	+	7.59898i	−0.628179	+	0.362679i	−0.780047	−	0.625721i	$-0.784805\pi$
$439$	−13.1618	+	7.59898i	−0.628179	+	0.362679i	0.151867	+	0.988401i	$0.451471\pi$
$440$	−2.23926	+	3.13138i	−0.106753	+	0.149283i
$441$	−20.4209	+	4.89765i	−0.972424	+	0.233221i
$442$	−6.18527	+	10.3953i	−0.294203	+	0.494454i
$443$	8.01302	−	29.9050i	0.380710	−	1.42083i	−0.464109	−	0.885778i	$-0.653626\pi$
$443$	8.01302	−	29.9050i	0.380710	−	1.42083i	0.844820	−	0.535051i	$-0.179708\pi$
$444$	14.6811	−	8.25877i	0.696732	−	0.391944i
$445$	−12.1878	−	24.2433i	−0.577759	−	1.14924i
$446$	11.2093	+	11.5078i	0.530774	+	0.544910i
$447$	−0.445359	−	0.112151i	−0.0210647	−	0.00530455i
$448$	−15.3177	−	14.6071i	−0.723694	−	0.690121i
$449$	−21.5532			−1.01716			−0.508579	−	0.861015i	$-0.669829\pi$
$449$	−21.5532			−1.01716			−0.508579	+	0.861015i	$0.669829\pi$
$450$	2.08542	−	21.1104i	0.0983075	−	0.995156i
$451$	6.61647	+	3.82002i	0.311557	+	0.179878i
$452$	−24.7824	+	23.5128i	−1.16567	+	1.10595i
$453$	27.6826	−	7.86763i	1.30064	−	0.369653i
$454$	−1.31756	−	5.18900i	−0.0618361	−	0.243532i
$455$	−14.5406	+	0.652109i	−0.681675	+	0.0305713i
$456$	1.74911	−	5.94558i	0.0819095	−	0.278427i
$457$	16.5602	+	4.43729i	0.774653	+	0.207568i	0.624426	−	0.781084i	$-0.285333\pi$
$457$	16.5602	+	4.43729i	0.774653	+	0.207568i	0.150227	+	0.988652i	$0.452000\pi$
$458$	12.4717	+	22.2725i	0.582764	+	1.04072i
$459$	−8.31434	+	16.0377i	−0.388080	+	0.748578i
$460$	−5.73871	−	2.06785i	−0.267569	−	0.0964140i
$461$	22.0421			1.02660			0.513302	−	0.858208i	$-0.328422\pi$
$461$	22.0421			1.02660			0.513302	+	0.858208i	$0.328422\pi$
$462$	3.60341	+	1.60506i	0.167646	+	0.0746742i
$463$	−13.2407	−	13.2407i	−0.615345	−	0.615345i	0.328989	−	0.944334i	$-0.393292\pi$
$463$	−13.2407	−	13.2407i	−0.615345	−	0.615345i	−0.944334	+	0.328989i	$0.893292\pi$
$464$	−0.531477	+	10.1019i	−0.0246732	+	0.468968i
$465$	−4.95364	+	1.10324i	−0.229720	+	0.0511615i
$466$	−0.755064	−	0.212991i	−0.0349776	−	0.00986664i
$467$	−16.6656	−	4.46554i	−0.771193	−	0.206641i	−0.148294	−	0.988943i	$-0.547378\pi$
$467$	−16.6656	−	4.46554i	−0.771193	−	0.206641i	−0.622898	+	0.782303i	$0.714045\pi$
$468$	−10.4791	−	10.3970i	−0.484395	−	0.480600i
$469$	−22.5574	−	10.1009i	−1.04161	−	0.466417i
$470$	2.73434	−	7.91286i	0.126125	−	0.364993i
$471$	32.0634	+	17.8715i	1.47740	+	0.823474i
$472$	−21.2380	−	13.4047i	−0.977559	−	0.617002i
$473$	0.583281	+	2.17683i	0.0268193	+	0.100091i
$474$	15.8226	+	4.20632i	0.726756	+	0.193203i
$475$	−2.51006	−	5.80597i	−0.115170	−	0.266396i
$476$	16.5865	+	7.95689i	0.760241	+	0.364703i
$477$	0.357907	+	1.19061i	0.0163875	+	0.0545145i
$478$	−4.62634	−	0.0607973i	−0.211604	−	0.00278081i
$479$	14.0948	−	24.4130i	0.644009	−	1.11546i	−0.340520	−	0.940237i	$-0.610603\pi$
$479$	14.0948	−	24.4130i	0.644009	−	1.11546i	0.984529	−	0.175220i	$-0.0560636\pi$
$480$	−13.7255	−	17.0766i	−0.626482	−	0.779436i
$481$	−5.98171	−	10.3606i	−0.272743	−	0.472404i
$482$	−18.3038	+	30.7623i	−0.833714	+	1.40118i
$483$	−0.897618	+	6.18575i	−0.0408430	+	0.281461i
$484$	10.1420	+	18.6838i	0.461001	+	0.849264i
$485$	−20.6349	+	18.3786i	−0.936982	+	0.834528i
$486$	−16.5301	−	14.5861i	−0.749822	−	0.661639i
$487$	−0.496016	−	1.85116i	−0.0224766	−	0.0838840i	0.953776	−	0.300517i	$-0.0971592\pi$
$487$	−0.496016	−	1.85116i	−0.0224766	−	0.0838840i	−0.976253	+	0.216633i	$0.930493\pi$
$488$	22.5564	−	11.8631i	1.02108	−	0.537018i
$489$	−19.8801	−	33.2625i	−0.899008	−	1.50418i
$490$	2.96314	+	21.9367i	0.133861	+	0.991000i
$491$	−23.4050			−1.05625			−0.528126	−	0.849166i	$-0.677105\pi$
$491$	−23.4050			−1.05625			−0.528126	+	0.849166i	$0.677105\pi$
$492$	−31.0870	+	30.3999i	−1.40151	+	1.37053i
$493$	−2.27557	−	8.49254i	−0.102486	−	0.382485i
$494$	−4.23630	−	1.19499i	−0.190600	−	0.0537653i
$495$	3.47854	+	2.13824i	0.156349	+	0.0961067i
$496$	−2.85559	+	4.39526i	−0.128220	+	0.197353i
$497$	−13.1352	+	16.1500i	−0.589193	+	0.724429i
$498$	0.0395646	+	20.1205i	0.00177293	+	0.901623i
$499$	−12.7980	−	22.1667i	−0.572915	−	0.992318i	−0.996265	−	0.0863516i	$-0.972479\pi$
$499$	−12.7980	−	22.1667i	−0.572915	−	0.992318i	0.423350	−	0.905966i	$-0.360854\pi$
$500$	−21.9168	−	4.43344i	−0.980148	−	0.198269i
$501$	0.277038	+	18.3367i	0.0123771	+	0.819225i
$502$	−10.6463	−	0.139909i	−0.475166	−	0.00624443i
$503$	12.8929	−	12.8929i	0.574867	−	0.574867i	−0.358618	−	0.933484i	$-0.616752\pi$
$503$	12.8929	−	12.8929i	0.574867	−	0.574867i	0.933484	+	0.358618i	$0.116752\pi$
$504$	−14.3252	+	17.2855i	−0.638093	+	0.769959i
$505$	−20.7877	+	31.6343i	−0.925042	+	1.40771i
$506$	0.841069	−	0.819250i	0.0373901	−	0.0364201i
$507$	8.37880	−	8.63586i	0.372116	−	0.383532i
$508$	18.3278	−	17.3889i	0.813166	−	0.771508i
$509$	12.7209	−	7.34443i	0.563845	−	0.325536i	−0.190842	−	0.981621i	$-0.561122\pi$
$509$	12.7209	−	7.34443i	0.563845	−	0.325536i	0.754687	+	0.656084i	$0.227788\pi$
$510$	15.9341	+	10.4259i	0.705576	+	0.461669i
$511$	−18.8180	−	8.42645i	−0.832461	−	0.372764i
$512$	−22.4694	−	2.66985i	−0.993015	−	0.117992i
$513$	−6.42004	−	1.41192i	−0.283452	−	0.0623378i
$514$	2.79705	−	9.91565i	0.123372	−	0.437360i
$515$	7.91949	−	23.9323i	0.348974	−	1.05458i
$516$	−12.8249	−	0.143317i	−0.564584	−	0.00630918i
$517$	1.13947	+	1.13947i	0.0501140	+	0.0501140i
$518$	−14.8811	+	10.4683i	−0.653837	+	0.459949i
$519$	13.1101	−	7.83554i	0.575470	−	0.343942i
$520$	−12.0185	+	9.88310i	−0.527046	+	0.433403i
$521$	6.14296	+	3.54664i	0.269128	+	0.155381i	0.628491	−	0.777817i	$-0.283673\pi$
$521$	6.14296	+	3.54664i	0.269128	+	0.155381i	−0.359363	+	0.933198i	$0.617006\pi$
$522$	10.7279	−	0.183181i	0.469548	−	0.00801763i
$523$	20.4466	+	5.47865i	0.894068	+	0.239565i	0.676467	−	0.736473i	$-0.263510\pi$
$523$	20.4466	+	5.47865i	0.894068	+	0.239565i	0.217601	+	0.976038i	$0.430177\pi$
$524$	−1.58992	−	2.92898i	−0.0694561	−	0.127953i
$525$	0.0493646	+	22.9128i	0.00215445	+	0.999998i
$526$	−7.92460	−	31.2098i	−0.345529	−	1.36081i
$527$	1.17907	−	4.40034i	0.0513610	−	0.191682i
$528$	4.11140	−	0.938158i	0.178926	−	0.0408281i
$529$	−18.3074	−	10.5698i	−0.795974	−	0.459556i
$530$	1.28669	−	0.248642i	0.0558904	−	0.0108003i
$531$	−12.6160	+	23.4610i	−0.547488	+	1.01812i
$532$	−1.23460	+	6.57925i	−0.0535268	+	0.285247i
$533$	21.8361	+	21.8361i	0.945825	+	0.945825i
$534$	−7.63676	+	28.7266i	−0.330475	+	1.24312i
$535$	−35.7856	−	11.8419i	−1.54715	−	0.511969i
$536$	−25.7716	+	5.82738i	−1.11316	+	0.251705i
$537$	1.69056	+	5.94830i	0.0729529	+	0.256688i
$538$	−17.3773	−	10.3396i	−0.749189	−	0.445772i
$539$	−4.04659	−	1.33392i	−0.174299	−	0.0574562i
$540$	−17.0556	+	15.7831i	−0.733956	+	0.679197i
$541$	21.7058	−	12.5319i	0.933207	−	0.538787i	0.0453824	−	0.998970i	$-0.485549\pi$
$541$	21.7058	−	12.5319i	0.933207	−	0.538787i	0.887824	+	0.460183i	$0.152216\pi$
$542$	7.26063	+	12.9663i	0.311871	+	0.556952i
$543$	24.4401	−	25.1899i	1.04882	−	1.08100i
$544$	19.2896	−	3.83184i	0.827033	−	0.164289i
$545$	2.11889	−	3.22448i	0.0907632	−	0.138121i
$546$	12.3895	+	10.0362i	0.530222	+	0.429511i
$547$	−6.80879	−	6.80879i	−0.291123	−	0.291123i	0.546401	−	0.837524i	$-0.315998\pi$
$547$	−6.80879	−	6.80879i	−0.291123	−	0.291123i	−0.837524	+	0.546401i	$0.815998\pi$
$548$	19.5915	−	4.70139i	0.836906	−	0.200833i
$549$	−14.2169	−	22.9912i	−0.606764	−	0.981240i
$550$	2.61255	−	3.42043i	0.111400	−	0.145848i
$551$	2.77067	−	1.59965i	0.118035	−	0.0681473i
$552$	3.19937	+	5.86639i	0.136174	+	0.249690i
$553$	−17.4603	−	2.80362i	−0.742488	−	0.119222i
$554$	−31.8371	+	8.08386i	−1.35263	+	0.343450i
$555$	−16.6965	+	8.71224i	−0.708726	+	0.369814i
$556$	−38.7315	−	1.01816i	−1.64258	−	0.0431796i
$557$	8.44606	+	31.5211i	0.357871	+	1.33559i	0.876833	+	0.480795i	$0.159652\pi$
$557$	8.44606	+	31.5211i	0.357871	+	1.33559i	−0.518962	+	0.854797i	$0.673681\pi$
$558$	4.86133	+	2.69709i	0.205796	+	0.114177i
$559$			9.10910i			0.385274i
$560$	16.6031	+	16.8623i	0.701608	+	0.712563i
$561$	−3.14615	+	1.88037i	−0.132831	+	0.0793892i
$562$	0.202131	−	15.3810i	0.00852638	−	0.648810i
$563$	−18.6342	+	4.99301i	−0.785336	+	0.210430i	−0.629136	−	0.777295i	$-0.716591\pi$
$563$	−18.6342	+	4.99301i	−0.785336	+	0.210430i	−0.156200	+	0.987725i	$0.549924\pi$
$564$	−7.99309	+	4.49648i	−0.336570	+	0.189336i
$565$	28.5214	−	25.4028i	1.19991	−	1.06870i
$566$	4.25839	+	16.7710i	0.178993	+	0.704939i
$567$	19.3469	+	13.8816i	0.812492	+	0.582972i
$568$	−0.877102	+	22.2373i	−0.0368024	+	0.933055i
$569$	8.83581	+	15.3041i	0.370416	+	0.641580i	0.989630	−	0.143643i	$-0.0458817\pi$
$569$	8.83581	+	15.3041i	0.370416	+	0.641580i	−0.619213	+	0.785223i	$0.712548\pi$
$570$	−2.16387	+	6.58250i	−0.0906347	+	0.275710i
$571$	−26.9849	−	15.5797i	−1.12928	−	0.651992i	−0.185529	−	0.982639i	$-0.559400\pi$
$571$	−26.9849	−	15.5797i	−1.12928	−	0.651992i	−0.943755	+	0.330647i	$0.892733\pi$
$572$	−0.698889	−	2.91239i	−0.0292220	−	0.121773i
$573$	19.1399	+	4.81984i	0.799581	+	0.201352i
$574$	30.1096	−	36.0425i	1.25675	−	1.50438i
$575$	6.34010	+	2.51278i	0.264401	+	0.104790i
$576$	−1.16667	+	23.9716i	−0.0486113	+	0.998818i
$577$	−2.11722	−	7.90159i	−0.0881412	−	0.328947i	0.907749	−	0.419513i	$-0.137799\pi$
$577$	−2.11722	−	7.90159i	−0.0881412	−	0.328947i	−0.995890	+	0.0905657i	$0.971132\pi$
$578$	6.06283	−	3.39494i	0.252180	−	0.141211i
$579$	37.7805	+	21.0581i	1.57011	+	0.875146i
$580$	0.949494	−	11.2699i	0.0394256	−	0.467958i
$581$	−2.22559	−	21.6185i	−0.0923332	−	0.896885i
$582$	30.2701	−	0.0595226i	1.25474	−	0.00246729i
$583$	−0.0652865	+	0.243653i	−0.00270389	+	0.0100911i
$584$	−21.4994	+	4.86136i	−0.889650	+	0.201165i
$585$	11.3442	+	11.9873i	0.469024	+	0.495612i
$586$	−12.8660	−	13.2087i	−0.531490	−	0.545645i
$587$	2.79900	−	2.79900i	0.115527	−	0.115527i	−0.646980	−	0.762507i	$-0.723968\pi$
$587$	2.79900	−	2.79900i	0.115527	−	0.115527i	0.762507	+	0.646980i	$0.223968\pi$
$588$	13.5192	−	20.1304i	0.557522	−	0.830162i
$589$	1.65769			0.0683039
$590$	23.2612	+	15.7271i	0.957649	+	0.647473i
$591$	15.4102	−	0.232823i	0.633891	−	0.00957705i
$592$	−6.01429	+	18.4973i	−0.247186	+	0.760233i
$593$	12.7042	+	3.40407i	0.521698	+	0.139789i	0.510052	−	0.860144i	$-0.329626\pi$
$593$	12.7042	+	3.40407i	0.521698	+	0.139789i	0.0116461	+	0.999932i	$0.496293\pi$
$594$	−1.29608	−	4.28100i	−0.0531789	−	0.175651i
$595$	−18.2550	−	9.47550i	−0.748382	−	0.388457i
$596$	0.466072	−	0.252995i	0.0190911	−	0.0103631i
$597$	−7.64918	−	26.9140i	−0.313060	−	1.10152i
$598$	4.14080	−	2.31868i	0.169330	−	0.0948179i
$599$	9.92966	−	17.1987i	0.405715	−	0.702719i	−0.588689	−	0.808359i	$-0.700356\pi$
$599$	9.92966	−	17.1987i	0.405715	−	0.702719i	0.994404	+	0.105640i	$0.0336892\pi$
$600$	14.7369	+	19.5659i	0.601632	+	0.798773i
$601$	21.4365			0.874414			0.437207	−	0.899361i	$-0.355968\pi$
$601$	21.4365			0.874414			0.437207	+	0.899361i	$0.355968\pi$
$602$	13.7979	−	1.23748i	0.562362	−	0.0504360i
$603$	8.06787	+	26.8386i	0.328549	+	1.09295i
$604$	−17.3661	+	28.3324i	−0.706615	+	1.15283i
$605$	−10.6758	−	21.2358i	−0.434035	−	0.863357i
$606$	40.0319	−	10.8109i	1.62618	−	0.439164i
$607$	−26.8192	−	7.18618i	−1.08856	−	0.291678i	−0.330460	−	0.943820i	$-0.607204\pi$
$607$	−26.8192	−	7.18618i	−1.08856	−	0.291678i	−0.758097	+	0.652142i	$0.773871\pi$
$608$	3.16351	+	6.41908i	0.128297	+	0.260328i
$609$	−11.5090	+	1.36083i	−0.466367	+	0.0551438i
$610$	−25.6239	+	12.4628i	−1.03748	+	0.504605i
$611$	3.25674	+	5.64084i	0.131754	+	0.228204i
$612$	−5.47802	−	20.1273i	−0.221436	−	0.813598i
$613$	−0.565797	−	2.11158i	−0.0228523	−	0.0852861i	0.953558	−	0.301210i	$-0.0973904\pi$
$613$	−0.565797	−	2.11158i	−0.0228523	−	0.0852861i	−0.976410	+	0.215924i	$0.930724\pi$
$614$	−8.03333	−	8.24729i	−0.324199	−	0.332833i
$615$	35.8091	−	32.8770i	1.44396	−	1.32573i
$616$	−4.31657	+	1.45429i	−0.173920	+	0.0585949i
$617$	−20.2841	−	20.2841i	−0.816609	−	0.816609i	0.169006	−	0.985615i	$-0.445944\pi$
$617$	−20.2841	−	20.2841i	−0.816609	−	0.816609i	−0.985615	+	0.169006i	$0.945944\pi$
$618$	−23.8878	+	13.8543i	−0.960908	+	0.557303i
$619$	10.5025	−	18.1909i	0.422133	−	0.731155i	−0.574015	−	0.818845i	$-0.694615\pi$
$619$	10.5025	−	18.1909i	0.422133	−	0.731155i	0.996148	+	0.0876895i	$0.0279483\pi$
$620$	3.34577	−	4.81110i	0.134369	−	0.193219i
$621$	5.97105	−	3.81817i	0.239610	−	0.153218i
$622$	−37.9061	−	22.5543i	−1.51989	−	0.904347i
$623$	5.09009	−	31.6999i	0.203930	−	1.27003i
$624$	17.0334	+	0.638303i	0.681882	+	0.0255526i
$625$	24.3355	+	5.72573i	0.973420	+	0.229029i
$626$	7.57801	−	26.8644i	0.302878	−	1.07372i
$627$	−0.957221	−	0.928728i	−0.0382277	−	0.0370898i
$628$	−41.2162	+	9.89069i	−1.64470	+	0.394682i
$629$		−	16.9053i		−	0.674057i
$630$	16.6165	−	18.8120i	0.662017	−	0.749488i
$631$	17.7435			0.706359			0.353180	−	0.935556i	$-0.385100\pi$
$631$	17.7435			0.706359			0.353180	+	0.935556i	$0.385100\pi$
$632$	−16.7320	+	8.79987i	−0.665563	+	0.350040i
$633$	−20.8497	+	21.4894i	−0.828702	+	0.854127i
$634$	−25.0484	−	7.06576i	−0.994800	−	0.280617i
$635$	−21.0930	+	18.7866i	−0.837052	+	0.745525i
$636$	−1.23515	−	0.731636i	−0.0489768	−	0.0290113i
$637$	−14.4034	−	9.44128i	−0.570685	−	0.374077i
$638$	1.87083	+	1.11315i	0.0740668	+	0.0440702i
$639$	23.5937	−	0.713087i	0.933354	−	0.0282093i
$640$	25.0151	+	3.77441i	0.988808	+	0.149197i
$641$	−17.0712	−	9.85604i	−0.674270	−	0.389290i	0.123422	−	0.992354i	$-0.460613\pi$
$641$	−17.0712	−	9.85604i	−0.674270	−	0.389290i	−0.797693	+	0.603064i	$0.793946\pi$
$642$	20.7162	+	35.7190i	0.817602	+	1.40972i
$643$	6.96796	−	6.96796i	0.274790	−	0.274790i	−0.556235	−	0.831025i	$-0.687755\pi$
$643$	6.96796	−	6.96796i	0.274790	−	0.274790i	0.831025	+	0.556235i	$0.187755\pi$
$644$	−4.07474	−	5.95725i	−0.160567	−	0.234748i
$645$	14.3265	+	0.611581i	0.564106	+	0.0240810i
$646$	−4.33992	−	4.45550i	−0.170752	−	0.175299i
$647$	−10.4021	+	2.78724i	−0.408949	+	0.109578i	−0.457428	−	0.889247i	$-0.651229\pi$
$647$	−10.4021	+	2.78724i	−0.408949	+	0.109578i	0.0484790	+	0.998824i	$0.484563\pi$
$648$	25.4502	−	0.534694i	0.999779	−	0.0210048i
$649$	−4.68061	+	2.70235i	−0.183730	+	0.106077i
$650$	13.7783	−	10.6211i	0.540430	−	0.416595i
$651$	−5.51691	−	2.37100i	−0.216225	−	0.0929270i
$652$	42.9015	+	12.7127i	1.68015	+	0.497870i
$653$	−7.15614	+	26.7071i	−0.280041	+	1.04513i	0.672346	+	0.740237i	$0.265287\pi$
$653$	−7.15614	+	26.7071i	−0.280041	+	1.04513i	−0.952387	+	0.304891i	$0.901380\pi$
$654$	−4.08044	+	1.10196i	−0.159558	+	0.0430899i
$655$	1.67361	+	3.32904i	0.0653933	+	0.130077i
$656$	2.63783	−	50.1376i	0.102990	−	1.95755i
$657$	6.73044	+	22.3895i	0.262579	+	0.873497i
$658$	8.10199	−	5.69944i	0.315849	−	0.222187i
$659$		−	11.2128i		−	0.436787i	−0.975861	−	0.218394i	$-0.929918\pi$
$659$		−	11.2128i		−	0.436787i	0.975861	−	0.218394i	$-0.0700816\pi$
$660$	−4.62743	+	0.903654i	−0.180123	+	0.0351747i
$661$	40.5674	+	23.4216i	1.57789	+	0.910994i	0.995154	+	0.0983319i	$0.0313507\pi$
$661$	40.5674	+	23.4216i	1.57789	+	0.910994i	0.582735	+	0.812662i	$0.301983\pi$
$662$	−2.82747	+	1.58327i	−0.109893	+	0.0615355i
$663$	−14.2505	+	4.05011i	−0.553443	+	0.157293i
$664$	−15.7681	−	17.0631i	−0.611923	−	0.662177i
$665$	1.61123	−	7.30873i	0.0624808	−	0.283420i
$666$	20.0156	+	4.99853i	0.775590	+	0.193689i
$667$	−0.892783	+	3.33191i	−0.0345687	+	0.129012i
$668$	−14.5749	−	15.3619i	−0.563921	−	0.594370i
$669$	0.297227	+	19.6730i	0.0114914	+	0.760602i
$670$	29.0043	−	5.60484i	1.12054	−	0.216534i
$671$		−	5.48459i		−	0.211730i
$672$	−1.34714	−	25.8879i	−0.0519671	−	0.998649i
$673$	4.08839	+	4.08839i	0.157596	+	0.157596i	0.781500	−	0.623905i	$-0.214455\pi$
$673$	4.08839	+	4.08839i	0.157596	+	0.157596i	−0.623905	+	0.781500i	$0.714455\pi$
$674$	−2.46983	+	2.40575i	−0.0951341	+	0.0926661i
$675$	19.6148	−	17.0370i	0.754975	−	0.655753i
$676$	−0.365115	+	13.8892i	−0.0140429	+	0.534200i
$677$	36.3536	+	9.74092i	1.39718	+	0.374374i	0.877332	−	0.479884i	$-0.159321\pi$
$677$	36.3536	+	9.74092i	1.39718	+	0.374374i	0.519850	+	0.854258i	$0.325988\pi$
$678$	−41.8392	+	0.0822718i	−1.60683	+	0.00315963i
$679$	−32.5237	+	3.34827i	−1.24814	+	0.128495i
$680$	−21.6906	+	3.60302i	−0.831796	+	0.138169i
$681$	3.19228	−	5.72730i	0.122328	−	0.219470i
$682$	0.551100	+	0.984177i	0.0211027	+	0.0376861i
$683$	41.9599	−	11.2431i	1.60555	−	0.430206i	0.658838	−	0.752285i	$-0.271048\pi$
$683$	41.9599	−	11.2431i	1.60555	−	0.430206i	0.946713	+	0.322079i	$0.104382\pi$
$684$	6.55849	−	3.82101i	0.250770	−	0.146100i
$685$	−22.0586	+	4.56410i	−0.842814	+	0.174385i
$686$	−12.3444	+	23.1001i	−0.471311	+	0.881967i
$687$	−7.63448	+	30.3170i	−0.291273	+	1.15667i
$688$	11.0079	−	9.90747i	0.419671	−	0.377719i
$689$	−0.509790	+	0.882982i	−0.0194215	+	0.0336389i
$690$	−3.36874	−	6.66819i	−0.128246	−	0.253854i
$691$	−35.0023	+	20.2086i	−1.33155	+	0.768772i	−0.985538	−	0.169457i	$-0.945798\pi$
$691$	−35.0023	+	20.2086i	−1.33155	+	0.768772i	−0.346014	+	0.938229i	$0.612465\pi$
$692$	−5.01060	+	16.9092i	−0.190475	+	0.642791i
$693$	1.85734	+	4.45999i	0.0705543	+	0.169421i
$694$	−2.79057	−	10.9902i	−0.105928	−	0.417183i
$695$	43.2458	+	2.50110i	1.64041	+	0.0948720i
$696$	−8.97098	+	8.54499i	−0.340044	+	0.323897i
$697$	11.2941	+	42.1502i	0.427795	+	1.59655i
$698$	−14.4468	−	0.189853i	−0.546818	−	0.00718606i
$699$	−0.492940	−	0.824766i	−0.0186447	−	0.0311955i
$700$	−17.9601	−	19.4277i	−0.678827	−	0.734298i
$701$	−31.6979			−1.19721			−0.598606	−	0.801044i	$-0.704278\pi$
$701$	−31.6979			−1.19721			−0.598606	+	0.801044i	$0.704278\pi$
$702$	−0.581706	−	18.0700i	−0.0219551	−	0.682007i
$703$	5.94191	−	1.59213i	0.224104	−	0.0600484i
$704$	−2.75932	+	4.01221i	−0.103996	+	0.151216i
$705$	9.09039	−	4.74338i	0.342364	−	0.178646i
$706$	−10.0272	−	39.4907i	−0.377380	−	1.48625i
$707$	−41.8477	+	15.9615i	−1.57384	+	0.600295i
$708$	−7.62850	−	29.7979i	−0.286697	−	1.11987i
$709$	−5.88623	−	10.1952i	−0.221062	−	0.382890i	0.734069	−	0.679075i	$-0.237619\pi$
$709$	−5.88623	−	10.1952i	−0.221062	−	0.382890i	−0.955131	+	0.296185i	$0.904286\pi$
$710$	1.76288	−	24.8188i	0.0661597	−	0.931433i
$711$	10.5459	+	17.0545i	0.395502	+	0.639594i
$712$	−15.9765	−	30.3776i	−0.598746	−	1.13845i
$713$	−1.26382	+	1.26382i	−0.0473303	+	0.0473303i
$714$	8.07082	+	21.0356i	0.302043	+	0.787239i
$715$	0.678480	+	3.27913i	0.0253737	+	0.122633i
$716$	−6.08792	−	3.73153i	−0.227516	−	0.139454i
$717$	−4.06694	−	3.94588i	−0.151883	−	0.147362i
$718$	−0.197463	−	0.352638i	−0.00736925	−	0.0131603i
$719$	−8.79087	−	15.2262i	−0.327844	−	0.567843i	0.654240	−	0.756287i	$-0.272989\pi$
$719$	−8.79087	−	15.2262i	−0.327844	−	0.567843i	−0.982084	+	0.188444i	$0.939655\pi$
$720$	2.14752	−	26.7467i	0.0800333	−	0.996792i
$721$	24.1681	−	17.4805i	0.900066	−	0.651009i
$722$	−12.5823	+	21.1466i	−0.468266	+	0.786994i
$723$	−42.1708	+	11.9853i	−1.56835	+	0.445737i
$724$	−1.06500	+	40.5133i	−0.0395805	+	1.50567i
$725$	−1.45773	+	12.5605i	−0.0541389	+	0.466485i
$726$	−6.68937	+	25.1629i	−0.248266	+	0.933882i
$727$	4.04368	−	4.04368i	0.149972	−	0.149972i	−0.628134	−	0.778105i	$-0.716181\pi$
$727$	4.04368	−	4.04368i	0.149972	−	0.149972i	0.778105	+	0.628134i	$0.216181\pi$
$728$	−18.3744	+	1.16216i	−0.680999	+	0.0430726i
$729$	−2.44402	−	26.8892i	−0.0905191	−	0.995895i
$730$	24.1962	−	4.67571i	0.895542	−	0.173056i
$731$	−6.43594	+	11.1474i	−0.238042	+	0.412300i
$732$	30.0578	+	8.41507i	1.11097	+	0.311030i
$733$	−4.75138	−	1.27313i	−0.175496	−	0.0470241i	0.170001	−	0.985444i	$-0.445623\pi$
$733$	−4.75138	−	1.27313i	−0.175496	−	0.0470241i	−0.345497	+	0.938420i	$0.612290\pi$
$734$	−7.34479	−	28.9264i	−0.271101	−	1.06769i
$735$	−15.8160	+	22.0194i	−0.583382	+	0.812198i
$736$	−7.30572	−	2.48203i	−0.269292	−	0.0914888i
$737$	−1.47167	+	5.49236i	−0.0542098	+	0.202314i
$738$	−53.2448	+	0.909167i	−1.95997	+	0.0334669i
$739$	−7.70988	+	13.3539i	−0.283613	+	0.491231i	−0.972272	−	0.233854i	$-0.924866\pi$
$739$	−7.70988	+	13.3539i	−0.283613	+	0.491231i	0.688659	+	0.725085i	$0.258200\pi$
$740$	7.37194	−	20.4586i	0.270998	−	0.752074i
$741$	−2.76565	−	4.62737i	−0.101599	−	0.169991i
$742$	1.40675	+	0.652247i	0.0516433	+	0.0239447i
$743$	25.3775	−	25.3775i	0.931012	−	0.931012i	−0.0667575	−	0.997769i	$-0.521265\pi$
$743$	25.3775	−	25.3775i	0.931012	−	0.931012i	0.997769	+	0.0667575i	$0.0212654\pi$
$744$	−6.23926	+	1.51022i	−0.228742	+	0.0553675i
$745$	−0.529731	+	0.266311i	−0.0194079	+	0.00975690i
$746$	−16.8389	−	4.74998i	−0.616516	−	0.173909i
$747$	−16.8906	+	17.9434i	−0.617994	+	0.656514i
$748$	1.20244	−	4.05786i	0.0439656	−	0.148370i
$749$	−26.1383	−	36.1381i	−0.955074	−	1.32046i
$750$	−15.7795	−	22.3832i	−0.576186	−	0.817319i
$751$	−5.33627	−	9.24269i	−0.194723	−	0.337270i	0.752087	−	0.659064i	$-0.229048\pi$
$751$	−5.33627	−	9.24269i	−0.194723	−	0.337270i	−0.946810	+	0.321794i	$0.895714\pi$
$752$	3.27448	−	10.0708i	0.119408	−	0.367245i
$753$	−9.35897	−	9.08038i	−0.341060	−	0.330907i
$754$	6.13967	+	6.30318i	0.223593	+	0.229548i
$755$	20.4035	−	31.0496i	0.742560	−	1.13001i
$756$	−27.2923	+	3.33596i	−0.992613	+	0.121328i
$757$	24.1477	+	24.1477i	0.877663	+	0.877663i	0.993292	−	0.115630i	$-0.0368885\pi$
$757$	24.1477	+	24.1477i	0.877663	+	0.877663i	−0.115630	+	0.993292i	$0.536889\pi$
$758$	26.3863	+	0.346757i	0.958393	+	0.0125948i
$759$	1.43784	−	0.0217234i	0.0521903	−	0.000788508i
$760$	−3.30921	−	7.28454i	−0.120038	−	0.264238i
$761$	−22.6268	+	13.0636i	−0.820222	+	0.473556i	−0.850493	−	0.525986i	$-0.823696\pi$
$761$	−22.6268	+	13.0636i	−0.820222	+	0.473556i	0.0302707	+	0.999542i	$0.490363\pi$
$762$	30.9422	−	0.0608441i	1.12092	−	0.00220415i
$763$	4.26553	−	1.62696i	0.154422	−	0.0588997i
$764$	−20.0301	+	10.8728i	−0.724663	+	0.393365i
$765$	5.41311	+	22.6847i	0.195711	+	0.820166i
$766$	51.2371	+	14.4532i	1.85127	+	0.522214i
$767$	−21.1013	+	5.65408i	−0.761924	+	0.204157i
$768$	−17.7549	−	21.2782i	−0.640676	−	0.767811i
$769$			15.9982i			0.576909i	0.957494	+	0.288454i	$0.0931414\pi$
$769$			15.9982i			0.576909i	−0.957494	+	0.288454i	$0.906859\pi$
$770$	4.87487	−	1.47320i	0.175678	−	0.0530903i
$771$	10.8310	−	6.47339i	0.390069	−	0.233133i
$772$	−48.5654	+	11.6543i	−1.74791	+	0.419447i
$773$	−35.1329	+	9.41382i	−1.26364	+	0.338592i	−0.827591	−	0.561331i	$-0.810289\pi$
$773$	−35.1329	+	9.41382i	−1.26364	+	0.338592i	−0.436050	+	0.899923i	$0.643623\pi$
$774$	−11.2954	−	10.9161i	−0.406004	−	0.392372i
$775$	−3.90818	+	5.25854i	−0.140386	+	0.188892i
$776$	−25.6704	+	23.7222i	−0.921514	+	0.851578i
$777$	−22.0523	−	3.20003i	−0.791123	−	0.114800i
$778$	−21.8890	−	13.0241i	−0.784760	−	0.466937i
$779$	−13.7514	+	7.93938i	−0.492695	+	0.284458i
$780$	−19.0120	−	1.31285i	−0.680739	−	0.0470077i
$781$	4.14759	+	2.39461i	0.148412	+	0.0856860i
$782$	6.70559	+	0.0881220i	0.239791	+	0.00315124i
$783$	9.70344	+	8.86147i	0.346772	+	0.316683i
$784$	4.25655	+	27.6746i	0.152020	+	0.988377i
$785$	46.4064	−	9.60187i	1.65631	−	0.342705i
$786$	1.04866	−	3.94468i	0.0374046	−	0.140702i
$787$	−9.49417	+	2.54396i	−0.338431	+	0.0906822i	−0.424032	−	0.905647i	$-0.639386\pi$
$787$	−9.49417	+	2.54396i	−0.338431	+	0.0906822i	0.0856012	+	0.996329i	$0.472719\pi$
$788$	−12.9102	+	12.2488i	−0.459905	+	0.436345i
$789$	19.2003	−	34.4474i	0.683549	−	1.22636i
$790$	19.0074	−	9.24472i	0.676253	−	0.328912i
$791$	44.9540	−	4.62796i	1.59838	−	0.164551i
$792$	4.44892	+	2.62350i	0.158086	+	0.0932221i
$793$	5.73766	−	21.4132i	0.203750	−	0.760406i
$794$	−13.0764	+	46.3565i	−0.464065	+	1.64513i
$795$	1.35450	+	0.861065i	0.0480392	+	0.0305388i
$796$	27.5457	+	16.8839i	0.976332	+	0.598434i
$797$	−2.81512	+	2.81512i	−0.0997168	+	0.0997168i	−0.755205	−	0.655488i	$-0.772463\pi$
$797$	−2.81512	+	2.81512i	−0.0997168	+	0.0997168i	0.655488	+	0.755205i	$0.272463\pi$
$798$	−6.63357	+	4.81789i	−0.234826	+	0.170551i
$799$			9.20406i			0.325616i
$800$	−27.8210	−	5.09834i	−0.983620	−	0.180254i
$801$	−30.9632	+	19.1465i	−1.09403	+	0.676509i
$802$	6.51854	−	3.65012i	0.230178	−	0.128890i
$803$	−1.22771	+	4.58188i	−0.0433250	+	0.161691i
$804$	−27.8424	−	16.4924i	−0.981927	−	0.581641i
$805$	4.34375	+	6.80053i	0.153097	+	0.239687i
$806$	1.12204	+	4.41900i	0.0395223	+	0.155653i
$807$	−6.77036	−	23.8218i	−0.238328	−	0.838568i
$808$	−25.5561	+	40.4902i	−0.899059	+	1.42444i
$809$	−8.97540	+	15.5459i	−0.315558	+	0.546563i	−0.979556	−	0.201172i	$-0.935525\pi$
$809$	−8.97540	+	15.5459i	−0.315558	+	0.546563i	0.663998	+	0.747735i	$0.268858\pi$
$810$	−28.4589	−	0.298321i	−0.999945	−	0.0104819i
$811$			40.8346i			1.43390i	0.697127	+	0.716948i	$0.254462\pi$
$811$			40.8346i			1.43390i	−0.697127	+	0.716948i	$0.745538\pi$
$812$	8.71362	−	10.1563i	0.305788	−	0.356417i
$813$	−4.44456	+	17.6496i	−0.155877	+	0.619000i
$814$	2.92065	+	2.99843i	0.102369	+	0.105095i
$815$	−47.4941	−	15.7163i	−1.66364	−	0.550519i
$816$	20.3938	+	12.8159i	0.713927	+	0.448646i
$817$	−4.52425	−	1.21227i	−0.158283	−	0.0424119i
$818$	−16.2915	−	9.69353i	−0.569618	−	0.338926i
$819$	2.58572	+	19.3560i	0.0903525	+	0.676352i
$820$	−4.71253	+	55.9349i	−0.164569	+	1.95333i
$821$	7.83653	+	13.5733i	0.273497	+	0.473710i	0.969755	−	0.244081i	$-0.0784864\pi$
$821$	7.83653	+	13.5733i	0.273497	+	0.473710i	−0.696258	+	0.717792i	$0.745153\pi$
$822$	21.3941	+	12.2958i	0.746204	+	0.428867i
$823$	−24.2048	+	6.48566i	−0.843727	+	0.226076i	−0.654693	−	0.755895i	$-0.727202\pi$
$823$	−24.2048	+	6.48566i	−0.843727	+	0.226076i	−0.189033	+	0.981971i	$0.560535\pi$
$824$	9.46037	−	30.4510i	0.329568	−	1.06081i
$825$	5.20287	−	0.846933i	0.181141	−	0.0294864i
$826$	11.4311	+	31.1950i	0.397739	+	1.08541i
$827$	6.93965	−	6.93965i	0.241315	−	0.241315i	−0.576079	−	0.817394i	$-0.695418\pi$
$827$	6.93965	−	6.93965i	0.241315	−	0.241315i	0.817394	+	0.576079i	$0.195418\pi$
$828$	−2.08704	+	7.91328i	−0.0725296	+	0.275006i
$829$	−5.49009	+	9.50912i	−0.190679	+	0.330265i	−0.945475	−	0.325694i	$-0.894402\pi$
$829$	−5.49009	+	9.50912i	−0.190679	+	0.330265i	0.754797	+	0.655959i	$0.227736\pi$
$830$	17.0200	+	19.6227i	0.590772	+	0.681114i
$831$	−35.1397	−	19.5862i	−1.21898	−	0.679437i
$832$	−14.9704	+	12.7780i	−0.519006	+	0.442999i
$833$	−10.9557	−	21.7305i	−0.379594	−	0.752916i
$834$	−33.6199	−	33.4880i	−1.16416	−	1.15959i
$835$	15.7465	+	17.6796i	0.544929	+	0.611829i
$836$	1.53952	+	0.0404703i	0.0532452	+	0.00139969i
$837$	2.05842	+	6.49023i	0.0711493	+	0.224335i
$838$	−0.0719605	+	5.47579i	−0.00248583	+	0.189158i
$839$	9.13044			0.315218			0.157609	−	0.987502i	$-0.449621\pi$
$839$	9.13044			0.315218			0.157609	+	0.987502i	$0.449621\pi$
$840$	0.594165	+	28.9767i	0.0205006	+	0.999790i
$841$	22.6044			0.779461
$842$	−0.0505162	+	3.84400i	−0.00174090	+	0.132473i
$843$	13.1188	−	13.5212i	0.451834	−	0.465696i
$844$	0.908549	−	34.5618i	0.0312735	−	1.18966i
$845$	0.896899	−	15.5081i	0.0308543	−	0.533493i
$846$	−10.8975	−	2.72145i	−0.374664	−	0.0935653i
$847$	4.45863	−	27.7673i	0.153200	−	0.954097i
$848$	1.62151	−	0.344317i	0.0556828	−	0.0118239i
$849$	−10.3176	+	18.5108i	−0.354097	+	0.635289i
$850$	24.3656	−	3.26281i	0.835733	−	0.111913i
$851$	−3.31625	+	5.74392i	−0.113680	+	0.196899i
$852$	−19.4872	+	19.0564i	−0.667619	+	0.652863i
$853$	−5.44094	+	5.44094i	−0.186294	+	0.186294i	−0.794092	−	0.607798i	$-0.792053\pi$
$853$	−5.44094	+	5.44094i	−0.186294	+	0.186294i	0.607798	+	0.794092i	$0.292053\pi$
$854$	−33.2150	−	5.78207i	−1.13659	−	0.197858i
$855$	−7.46348	+	4.03905i	−0.255245	+	0.138133i
$856$	−45.5328	−	14.1459i	−1.55628	−	0.483498i
$857$	19.3858	−	5.19440i	0.662206	−	0.177437i	0.0879644	−	0.996124i	$-0.471964\pi$
$857$	19.3858	−	5.19440i	0.662206	−	0.177437i	0.574241	+	0.818686i	$0.305297\pi$
$858$	1.82785	−	3.18035i	0.0624017	−	0.108575i
$859$	18.3276	+	31.7444i	0.625330	+	1.08310i	0.988477	+	0.151372i	$0.0483691\pi$
$859$	18.3276	+	31.7444i	0.625330	+	1.08310i	−0.363147	+	0.931732i	$0.618298\pi$
$860$	−12.6498	+	10.6839i	−0.431355	+	0.364319i
$861$	57.1214	−	6.75409i	1.94669	−	0.230179i
$862$	−44.5037	−	26.4800i	−1.51580	−	0.901912i
$863$	−24.7136	−	6.62199i	−0.841261	−	0.225415i	−0.187641	−	0.982238i	$-0.560084\pi$
$863$	−24.7136	−	6.62199i	−0.841261	−	0.225415i	−0.653620	+	0.756823i	$0.726751\pi$
$864$	−21.2039	+	20.3567i	−0.721372	+	0.692548i
$865$	6.19444	−	18.7193i	0.210617	−	0.636476i
$866$	−35.1545	−	36.0908i	−1.19460	−	1.22642i
$867$	8.25266	+	2.07820i	0.280275	+	0.0705793i
$868$	6.54122	−	2.29993i	0.222023	−	0.0780649i
$869$			4.06839i			0.138011i
$870$	10.3257	−	9.23308i	0.350073	−	0.313031i
$871$	−11.4916	+	19.9040i	−0.389377	+	0.674421i
$872$	2.60493	−	4.12716i	0.0882139	−	0.139763i
$873$	26.9947	+	25.4109i	0.913634	+	0.860027i
$874$	0.600556	+	2.36520i	0.0203141	+	0.0800041i
$875$	19.3862	+	22.3423i	0.655372	+	0.755306i
$876$	−23.2269	−	13.7584i	−0.784765	−	0.464853i
$877$	−0.655285	+	2.44556i	−0.0221274	+	0.0825806i	−0.976107	−	0.217292i	$-0.930278\pi$
$877$	−0.655285	+	2.44556i	−0.0221274	+	0.0825806i	0.953979	+	0.299873i	$0.0969442\pi$
$878$	18.7532	−	10.5011i	0.632891	−	0.354394i
$879$	−0.341157	−	22.5807i	−0.0115069	−	0.761628i
$880$	3.22471	−	4.38644i	0.108705	−	0.147867i
$881$		−	37.1153i		−	1.25045i	−0.780446	−	0.625223i	$-0.785008\pi$
$881$		−	37.1153i		−	1.25045i	0.780446	−	0.625223i	$-0.214992\pi$
$882$	28.9680	−	6.54624i	0.975404	−	0.220423i
$883$	−32.3385	+	32.3385i	−1.08828	+	1.08828i	−0.0925715	+	0.995706i	$0.529509\pi$
$883$	−32.3385	+	32.3385i	−1.08828	+	1.08828i	−0.995706	+	0.0925715i	$0.970491\pi$
$884$	8.93972	−	14.5850i	0.300675	−	0.490546i
$885$	7.47583	+	33.5671i	0.251297	+	1.12835i
$886$	−11.8869	+	42.1395i	−0.399347	+	1.41570i
$887$	3.32367	−	12.4041i	0.111598	−	0.416490i	−0.887412	−	0.460977i	$-0.847499\pi$
$887$	3.32367	−	12.4041i	0.111598	−	0.416490i	0.999010	+	0.0444878i	$0.0141656\pi$
$888$	−20.9138	+	11.4058i	−0.701822	+	0.382755i
$889$	−33.2458	+	3.42261i	−1.11503	+	0.114791i
$890$	16.7842	+	34.5088i	0.562607	+	1.15674i
$891$	2.44756	−	4.90098i	0.0819965	−	0.164189i
$892$	−15.6371	−	16.4814i	−0.523568	−	0.551838i
$893$	−3.23507	+	0.866835i	−0.108258	+	0.0290075i
$894$	0.627694	+	0.166868i	0.0209932	+	0.00558090i
$895$	6.67177	+	4.38420i	0.223013	+	0.146548i
$896$	21.3892	+	20.9404i	0.714563	+	0.699571i
$897$	5.63641	+	1.41937i	0.188194	+	0.0473913i
$898$	30.4782	+	0.400532i	1.01707	+	0.0133659i
$899$	−2.86988	−	1.65693i	−0.0957158	−	0.0552615i
$900$	−3.34127	+	29.8134i	−0.111376	+	0.993778i
$901$	−1.24772	+	0.720373i	−0.0415677	+	0.0239991i
$902$	−9.28530	−	5.52481i	−0.309167	−	0.183956i
$903$	13.3231	+	10.5056i	0.443365	+	0.349604i
$904$	35.4815	−	32.7887i	1.18010	−	1.09054i
$905$	2.61616	−	45.2353i	0.0869641	−	1.50367i
$906$	−39.2920	+	10.6111i	−1.30539	+	0.352530i
$907$	−56.5234	+	15.1454i	−1.87683	+	0.502895i	−0.877085	+	0.480336i	$0.840515\pi$
$907$	−56.5234	+	15.1454i	−1.87683	+	0.502895i	−0.999746	+	0.0225593i	$0.992819\pi$
$908$	1.76672	+	7.36221i	0.0586306	+	0.244324i
$909$	44.7284	+	24.0524i	1.48355	+	0.797767i
$910$	20.5739	−	0.651927i	0.682018	−	0.0216112i
$911$			46.3594i			1.53596i	0.640476	+	0.767978i	$0.278737\pi$
$911$			46.3594i			1.53596i	−0.640476	+	0.767978i	$0.721263\pi$
$912$	−2.58389	+	8.37509i	−0.0855611	+	0.277327i
$913$	−4.82948	+	1.29406i	−0.159832	+	0.0428270i
$914$	−23.3351	−	6.58247i	−0.771858	−	0.217729i
$915$	−33.2928	−	10.4617i	−1.10063	−	0.345853i
$916$	−17.2222	−	31.7271i	−0.569038	−	1.04829i
$917$	−0.698961	+	4.35297i	−0.0230817	+	0.143748i
$918$	12.0553	−	22.5243i	0.397883	−	0.743414i
$919$	41.7425	−	24.1000i	1.37696	−	0.794986i	0.385165	−	0.922848i	$-0.374145\pi$
$919$	41.7425	−	24.1000i	1.37696	−	0.794986i	0.991792	+	0.127862i	$0.0408113\pi$
$920$	8.07663	+	3.03077i	0.266279	+	0.0999217i
$921$	−0.213013	−	14.0990i	−0.00701902	−	0.464579i
$922$	−31.1695	−	0.409617i	−1.02651	−	0.0134900i
$923$	13.6881	+	13.6881i	0.450550	+	0.450550i
$924$	−5.06573	−	2.33667i	−0.166650	−	0.0768707i
$925$	−8.95812	+	22.6026i	−0.294541	+	0.743170i
$926$	18.4774	+	18.9695i	0.607206	+	0.623378i
$927$	−32.9180	−	7.76259i	−1.08117	−	0.254957i
$928$	0.939284	−	14.2751i	0.0308335	−	0.468603i
$929$	−14.5923	−	25.2747i	−0.478759	−	0.829234i	0.520945	−	0.853590i	$-0.325580\pi$
$929$	−14.5923	−	25.2747i	−0.478759	−	0.829234i	−0.999703	+	0.0243561i	$0.992246\pi$
$930$	7.02540	−	1.46803i	0.230372	−	0.0481385i
$931$	6.60609	−	5.89733i	0.216506	−	0.193277i
$932$	1.06377	+	0.315221i	0.0348450	+	0.0103254i
$933$	−14.7685	−	51.9639i	−0.483501	−	1.70122i
$934$	23.4837	+	6.62438i	0.768411	+	0.216756i
$935$	−1.48654	+	4.49225i	−0.0486150	+	0.146912i
$936$	14.6252	+	14.8970i	0.478038	+	0.486924i
$937$	19.5162	−	19.5162i	0.637566	−	0.637566i	−0.312388	−	0.949955i	$-0.601129\pi$
$937$	19.5162	−	19.5162i	0.637566	−	0.637566i	0.949955	+	0.312388i	$0.101129\pi$
$938$	31.7106	+	14.7028i	1.03539	+	0.480063i
$939$	29.3443	−	17.5383i	0.957616	−	0.572340i
$940$	−4.01365	+	11.1387i	−0.130911	+	0.363304i
$941$	−6.19191	+	10.7247i	−0.201850	+	0.349615i	−0.949125	−	0.314901i	$-0.898029\pi$
$941$	−6.19191	+	10.7247i	−0.201850	+	0.349615i	0.747274	+	0.664516i	$0.231362\pi$
$942$	−45.0084	−	25.8677i	−1.46645	−	0.842817i
$943$	4.43106	−	16.5370i	0.144295	−	0.538517i
$944$	29.7834	+	19.3502i	0.969367	+	0.629795i
$945$	30.6161	−	2.76720i	0.995940	−	0.0900169i
$946$	−0.784360	−	3.08908i	−0.0255017	−	0.100435i
$947$	−16.1132	−	4.31752i	−0.523609	−	0.140301i	−0.0126737	−	0.999920i	$-0.504034\pi$
$947$	−16.1132	−	4.31752i	−0.523609	−	0.140301i	−0.510936	+	0.859619i	$0.670701\pi$
$948$	−22.2964	−	6.24216i	−0.724155	−	0.202736i
$949$	−9.58658	+	16.6045i	−0.311194	+	0.539003i
$950$	3.44157	+	8.25681i	0.111659	+	0.267886i
$951$	−16.3527	−	27.3607i	−0.530274	−	0.887233i
$952$	−23.3070	−	11.5600i	−0.755383	−	0.374662i
$953$	24.6693	−	24.6693i	0.799118	−	0.799118i	−0.183838	−	0.982956i	$-0.558852\pi$
$953$	24.6693	−	24.6693i	0.799118	−	0.799118i	0.982956	+	0.183838i	$0.0588523\pi$
$954$	−0.483988	−	1.69029i	−0.0156697	−	0.0547251i
$955$	22.7659	−	11.4451i	0.736688	−	0.370355i
$956$	6.54093	+	0.171946i	0.211549	+	0.00556113i
$957$	0.728892	+	2.56464i	0.0235617	+	0.0829031i
$958$	−20.3851	+	34.2602i	−0.658611	+	1.10690i
$959$	−24.3254	−	10.8926i	−0.785509	−	0.351740i
$960$	19.0918	+	24.4029i	0.616186	+	0.787601i
$961$	14.6415	+	25.3598i	0.472306	+	0.818058i
$962$	8.26615	+	14.7620i	0.266511	+	0.475947i
$963$	−11.6073	+	49.2218i	−0.374039	+	1.58615i
$964$	26.4549	−	43.1606i	0.852054	−	1.39011i
$965$	54.6811	−	11.3140i	1.76025	−	0.364210i
$966$	1.38427	−	8.73054i	0.0445380	−	0.280900i
$967$	12.1995	−	12.1995i	0.392310	−	0.392310i	−0.483200	−	0.875510i	$-0.660526\pi$
$967$	12.1995	−	12.1995i	0.392310	−	0.392310i	0.875510	+	0.483200i	$0.160526\pi$
$968$	−13.9945	−	26.6091i	−0.449802	−	0.855249i
$969$	−0.115078	−	7.61684i	−0.00369683	−	0.244688i
$970$	29.5212	−	25.6055i	0.947867	−	0.822144i
$971$	−10.5180	−	18.2177i	−0.337538	−	0.584632i	0.646431	−	0.762972i	$-0.276261\pi$
$971$	−10.5180	−	18.2177i	−0.337538	−	0.584632i	−0.983969	+	0.178340i	$0.942927\pi$
$972$	23.1041	+	20.9333i	0.741063	+	0.671435i
$973$	39.7635	+	32.3405i	1.27476	+	1.03679i
$974$	0.667012	+	2.62692i	0.0213724	+	0.0841721i
$975$	21.1993	+	2.13630i	0.678922	+	0.0684163i
$976$	−32.1173	+	16.3563i	−1.02805	+	0.523554i
$977$	47.2216	−	12.6530i	1.51075	−	0.404805i	0.594067	−	0.804415i	$-0.297521\pi$
$977$	47.2216	−	12.6530i	1.51075	−	0.404805i	0.916685	+	0.399611i	$0.130855\pi$
$978$	27.4941	+	47.4057i	0.879165	+	1.51587i
$979$	−7.38633			−0.236068
$980$	−3.78249	−	31.0756i	−0.120827	−	0.992674i
$981$	−4.55915	−	2.45165i	−0.145563	−	0.0782753i
$982$	33.0968	+	0.434944i	1.05616	+	0.0138796i
$983$	−2.81760	−	10.5154i	−0.0898675	−	0.335390i	0.906324	−	0.422584i	$-0.138877\pi$
$983$	−2.81760	−	10.5154i	−0.0898675	−	0.335390i	−0.996191	+	0.0871937i	$0.972210\pi$
$984$	44.5248	−	42.4105i	1.41940	−	1.35200i
$985$	14.8580	−	13.2333i	0.473415	−	0.421649i
$986$	3.06004	+	12.0515i	0.0974516	+	0.383798i
$987$	12.0064	+	1.74225i	0.382168	+	0.0554566i
$988$	5.96831	+	1.76856i	0.189877	+	0.0562652i
$989$	4.37349	−	2.52504i	0.139069	−	0.0802915i
$990$	−4.87924	−	3.08831i	−0.155072	−	0.0981529i
$991$	−8.01125	+	13.8759i	−0.254486	+	0.440782i	−0.964756	−	0.263147i	$-0.915240\pi$
$991$	−8.01125	+	13.8759i	−0.254486	+	0.440782i	0.710270	+	0.703929i	$0.248573\pi$
$992$	4.11974	−	6.16224i	0.130802	−	0.195651i
$993$	−3.84872	−	0.969189i	−0.122135	−	0.0307563i
$994$	18.8745	−	22.5935i	0.598661	−	0.716624i
$995$	−30.1875	−	19.8370i	−0.957007	−	0.628875i
$996$	0.317960	−	28.4530i	0.0100749	−	0.901569i
$997$	−25.5273	+	6.84002i	−0.808458	+	0.216626i	−0.639294	−	0.768962i	$-0.720773\pi$
$997$	−25.5273	+	6.84002i	−0.808458	+	0.216626i	−0.169164	+	0.985588i	$0.554107\pi$
$998$	17.6855	+	31.5836i	0.559826	+	0.999761i
$999$	13.6119	+	21.2869i	0.430660	+	0.673489i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	840.2.dc.e.53.1	✓	704
3.2	odd	2	inner	840.2.dc.e.53.176	yes	704
5.2	odd	4	inner	840.2.dc.e.557.89	yes	704
7.2	even	3	inner	840.2.dc.e.653.116	yes	704
8.5	even	2	inner	840.2.dc.e.53.149	yes	704
15.2	even	4	inner	840.2.dc.e.557.88	yes	704
21.2	odd	6	inner	840.2.dc.e.653.61	yes	704
24.5	odd	2	inner	840.2.dc.e.53.28	yes	704
35.2	odd	12	inner	840.2.dc.e.317.28	yes	704
40.37	odd	4	inner	840.2.dc.e.557.61	yes	704
56.37	even	6	inner	840.2.dc.e.653.88	yes	704
105.2	even	12	inner	840.2.dc.e.317.149	yes	704
120.77	even	4	inner	840.2.dc.e.557.116	yes	704
168.149	odd	6	inner	840.2.dc.e.653.89	yes	704
280.37	odd	12	inner	840.2.dc.e.317.176	yes	704
840.317	even	12	inner	840.2.dc.e.317.1	yes	704

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
840.2.dc.e.53.1	✓	704	1.1	even	1	trivial
840.2.dc.e.53.28	yes	704	24.5	odd	2	inner
840.2.dc.e.53.149	yes	704	8.5	even	2	inner
840.2.dc.e.53.176	yes	704	3.2	odd	2	inner
840.2.dc.e.317.1	yes	704	840.317	even	12	inner
840.2.dc.e.317.28	yes	704	35.2	odd	12	inner
840.2.dc.e.317.149	yes	704	105.2	even	12	inner
840.2.dc.e.317.176	yes	704	280.37	odd	12	inner
840.2.dc.e.557.61	yes	704	40.37	odd	4	inner
840.2.dc.e.557.88	yes	704	15.2	even	4	inner
840.2.dc.e.557.89	yes	704	5.2	odd	4	inner
840.2.dc.e.557.116	yes	704	120.77	even	4	inner
840.2.dc.e.653.61	yes	704	21.2	odd	6	inner
840.2.dc.e.653.88	yes	704	56.37	even	6	inner
840.2.dc.e.653.89	yes	704	168.149	odd	6	inner
840.2.dc.e.653.116	yes	704	7.2	even	3	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:	\( N \)	\(=\)	\( 840 = 2^{3} \cdot 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	840.dc (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41409 - 0.0185834i) q^{2} +(-1.24311 - 1.20610i) q^{3} +(1.99931 + 0.0525572i) q^{4} +(-2.23234 - 0.129106i) q^{5} +(1.73545 + 1.72864i) q^{6} +(-2.05258 - 1.66941i) q^{7} +(-2.82623 - 0.111475i) q^{8} +(0.0906294 + 2.99863i) q^{9} +(3.15433 + 0.224052i) q^{10} +(-0.304342 + 0.527135i) q^{11} +(-2.42197 - 2.47671i) q^{12} +(-1.73968 + 1.73968i) q^{13} +(2.87151 + 2.39884i) q^{14} +(2.61932 + 2.85292i) q^{15} +(3.99448 + 0.210156i) q^{16} +(-3.35811 + 0.899804i) q^{17} +(-0.0724335 - 4.24202i) q^{18} +(-0.632532 - 1.09558i) q^{19} +(-4.45635 - 0.375448i) q^{20} +(0.538100 + 4.55087i) q^{21} +(0.440163 - 0.739762i) q^{22} +(1.31750 + 0.353024i) q^{23} +(3.37886 + 3.54730i) q^{24} +(4.96666 + 0.576416i) q^{25} +(2.49240 - 2.42774i) q^{26} +(3.50400 - 3.83693i) q^{27} +(-4.01600 - 3.44554i) q^{28} +2.52896i q^{29} +(-3.65094 - 4.08297i) q^{30} +(-0.655180 + 1.13481i) q^{31} +(-5.64465 - 0.371411i) q^{32} +(1.01411 - 0.288218i) q^{33} +(4.76540 - 1.21000i) q^{34} +(4.36652 + 3.99168i) q^{35} +(0.0235965 + 5.99995i) q^{36} +(-1.25854 + 4.69693i) q^{37} +(0.874098 + 1.56100i) q^{38} +(4.26085 - 0.0643744i) q^{39} +(6.29471 + 0.613732i) q^{40} -12.5517i q^{41} +(-0.676352 - 6.44535i) q^{42} +(2.61803 - 2.61803i) q^{43} +(-0.636178 + 1.03791i) q^{44} +(0.184826 - 6.70566i) q^{45} +(-1.85651 - 0.523692i) q^{46} +(0.685210 - 2.55724i) q^{47} +(-4.71209 - 5.07900i) q^{48} +(1.42617 + 6.85318i) q^{49} +(-7.01260 - 0.907403i) q^{50} +(5.25975 + 2.93168i) q^{51} +(-3.56960 + 3.38673i) q^{52} +(0.400295 - 0.107259i) q^{53} +(-5.02627 + 5.36065i) q^{54} +(0.747450 - 1.13745i) q^{55} +(5.61497 + 4.94693i) q^{56} +(-0.535075 + 2.12482i) q^{57} +(0.0469966 - 3.57618i) q^{58} +(7.68973 + 4.43967i) q^{59} +(5.08689 + 5.84154i) q^{60} +(-7.80340 + 4.50529i) q^{61} +(0.947573 - 1.59254i) q^{62} +(4.81991 - 6.30623i) q^{63} +(7.97515 + 0.630106i) q^{64} +(4.10817 - 3.65896i) q^{65} +(-1.43940 + 0.388721i) q^{66} +(9.02335 - 2.41780i) q^{67} +(-6.76120 + 1.62249i) q^{68} +(-1.21201 - 2.02789i) q^{69} +(-6.10048 - 5.72574i) q^{70} -7.86817i q^{71} +(0.0781319 - 8.48492i) q^{72} +(7.52753 - 2.01699i) q^{73} +(1.86697 - 6.61850i) q^{74} +(-5.47888 - 6.70686i) q^{75} +(-1.20705 - 2.22364i) q^{76} +(1.50469 - 0.573918i) q^{77} +(-6.02643 + 0.0118502i) q^{78} +(5.78844 - 3.34196i) q^{79} +(-8.88989 - 0.984850i) q^{80} +(-8.98357 + 0.543528i) q^{81} +(-0.233254 + 17.7493i) q^{82} +(5.80831 + 5.80831i) q^{83} +(0.836647 + 9.12688i) q^{84} +(7.61261 - 1.57511i) q^{85} +(-3.75079 + 3.65349i) q^{86} +(3.05019 - 3.14377i) q^{87} +(0.918902 - 1.45588i) q^{88} +(6.06746 + 10.5092i) q^{89} +(-0.385974 + 9.47898i) q^{90} +(6.47508 - 0.666602i) q^{91} +(2.61554 + 0.775048i) q^{92} +(2.18315 - 0.620469i) q^{93} +(-1.01647 + 3.60344i) q^{94} +(1.27058 + 2.52736i) q^{95} +(6.56894 + 7.26973i) q^{96} +(8.73825 - 8.73825i) q^{97} +(-1.88938 - 9.71752i) q^{98} +(-1.60827 - 0.864835i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 704 q - 16 q^{6} - 24 q^{7} + 12 q^{10} + 10 q^{12} + 32 q^{15} - 72 q^{16} + 6 q^{18} + 64 q^{22} - 8 q^{25} + 24 q^{28} + 8 q^{30} - 16 q^{31} + 44 q^{33} - 240 q^{36} + 16 q^{40} - 78 q^{42} - 8 q^{46}+ \cdots - 80 q^{97}+O(q^{100}) \) 704 * q - 16 * q^6 - 24 * q^7 + 12 * q^10 + 10 * q^12 + 32 * q^15 - 72 * q^16 + 6 * q^18 + 64 * q^22 - 8 * q^25 + 24 * q^28 + 8 * q^30 - 16 * q^31 + 44 * q^33 - 240 * q^36 + 16 * q^40 - 78 * q^42 - 8 * q^46 - 20 * q^48 - 60 * q^52 + 272 * q^55 + 8 * q^57 - 20 * q^58 - 14 * q^60 + 12 * q^63 - 84 * q^66 + 112 * q^70 - 38 * q^72 + 104 * q^73 - 64 * q^76 - 16 * q^78 - 168 * q^81 - 72 * q^82 - 64 * q^87 + 52 * q^88 - 44 * q^90 + 40 * q^96 - 80 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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