LMFDB - Embedded newform 819.2.s.d.289.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [819,2,Mod(289,819)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(819, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 2, 2]))

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

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

chi := DirichletCharacter("819.289");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 819 = 3^{2} \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	819.s (of order $3$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$6.53974792554$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$6$ over $\Q(\zeta_{3})$
Coefficient field:	$\mathbb{Q}[x]/(x^{12} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{12} - x^{11} + 7x^{10} - 2x^{9} + 33x^{8} - 11x^{7} + 55x^{6} + 17x^{5} + 47x^{4} + x^{3} + 8x^{2} + x + 1 $ x^12 - x^11 + 7x^10 - 2x^9 + 33x^8 - 11x^7 + 55x^6 + 17x^5 + 47x^4 + x^3 + 8x^2 + x + 1
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 91)
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			289.2
Root			$-1.02197 + 1.77010i$ of defining polynomial
Character	$\chi$	$=$	819.289
Dual form			819.2.s.d.802.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q-1.55469 q^{2} +0.417051 q^{4} +(-0.595756 + 1.03188i) q^{5} +(-2.44127 + 1.01990i) q^{7} +2.46099 q^{8} +O(q^{10})$	\(q-1.55469 q^{2} +0.417051 q^{4} +(-0.595756 + 1.03188i) q^{5} +(-2.44127 + 1.01990i) q^{7} +2.46099 q^{8} +(0.926214 - 1.60425i) q^{10} +(1.05807 - 1.83263i) q^{11} +(2.86133 - 2.19381i) q^{13} +(3.79541 - 1.58563i) q^{14} -4.66017 q^{16} +0.906303 q^{17} +(-3.34514 - 5.79395i) q^{19} +(-0.248461 + 0.430346i) q^{20} +(-1.64497 + 2.84917i) q^{22} -3.59733 q^{23} +(1.79015 + 3.10063i) q^{25} +(-4.44847 + 3.41068i) q^{26} +(-1.01813 + 0.425352i) q^{28} +(4.25772 + 7.37459i) q^{29} +(2.64390 + 4.57937i) q^{31} +2.32313 q^{32} -1.40902 q^{34} +(0.401982 - 3.12671i) q^{35} +4.99159 q^{37} +(5.20065 + 9.00778i) q^{38} +(-1.46615 + 2.53944i) q^{40} +(0.768181 + 1.33053i) q^{41} +(-2.71636 + 4.70488i) q^{43} +(0.441269 - 0.764301i) q^{44} +5.59272 q^{46} +(-1.59337 + 2.75979i) q^{47} +(4.91959 - 4.97972i) q^{49} +(-2.78312 - 4.82051i) q^{50} +(1.19332 - 0.914930i) q^{52} +(-1.41239 - 2.44632i) q^{53} +(1.26070 + 2.18360i) q^{55} +(-6.00794 + 2.50997i) q^{56} +(-6.61943 - 11.4652i) q^{58} +10.2460 q^{59} +(4.13423 + 7.16069i) q^{61} +(-4.11044 - 7.11949i) q^{62} +5.70861 q^{64} +(0.559090 + 4.25952i) q^{65} +(1.87182 - 3.24208i) q^{67} +0.377975 q^{68} +(-0.624956 + 4.86105i) q^{70} +(-1.26510 + 2.19122i) q^{71} +(2.86522 + 4.96271i) q^{73} -7.76035 q^{74} +(-1.39510 - 2.41638i) q^{76} +(-0.713925 + 5.55307i) q^{77} +(-3.03620 + 5.25885i) q^{79} +(2.77632 - 4.80873i) q^{80} +(-1.19428 - 2.06856i) q^{82} +11.6309 q^{83} +(-0.539935 + 0.935195i) q^{85} +(4.22310 - 7.31462i) q^{86} +(2.60390 - 4.51008i) q^{88} +17.7511 q^{89} +(-4.74780 + 8.27396i) q^{91} -1.50027 q^{92} +(2.47719 - 4.29061i) q^{94} +7.97155 q^{95} +(-3.10217 + 5.37312i) q^{97} +(-7.64842 + 7.74191i) q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 4 q^{2} + 8 q^{4} - q^{5} - 3 q^{7} + 6 q^{8}+O(q^{10}) $ 12 * q + 4 * q^2 + 8 * q^4 - q^5 - 3 * q^7 + 6 * q^8	$ 12 q + 4 q^{2} + 8 q^{4} - q^{5} - 3 q^{7} + 6 q^{8} + 4 q^{10} - 4 q^{11} - 2 q^{13} + 2 q^{14} - 16 q^{16} + 10 q^{17} - q^{19} + q^{20} - 5 q^{22} - 2 q^{23} + 7 q^{25} + 16 q^{26} - q^{28} - 3 q^{29} + 16 q^{31} + 16 q^{32} + 32 q^{34} - 20 q^{35} + 26 q^{37} + 17 q^{38} - 5 q^{40} + 8 q^{41} - 11 q^{43} - 21 q^{44} - 32 q^{46} + q^{47} - 3 q^{49} - 6 q^{50} + 41 q^{52} + 2 q^{53} + 9 q^{55} - 9 q^{56} - 8 q^{58} + 26 q^{59} - 5 q^{61} - 5 q^{62} - 30 q^{64} + 5 q^{65} - 11 q^{67} + 58 q^{68} - 39 q^{70} - 6 q^{71} - 30 q^{73} - 6 q^{74} - 9 q^{76} - 11 q^{77} + 7 q^{79} + 7 q^{80} + q^{82} + 54 q^{83} - q^{85} + 7 q^{86} + 8 q^{89} - 23 q^{91} - 54 q^{92} + 45 q^{94} - 12 q^{95} - 35 q^{97} - 20 q^{98}+O(q^{100}) $ 12 * q + 4 * q^2 + 8 * q^4 - q^5 - 3 * q^7 + 6 * q^8 + 4 * q^10 - 4 * q^11 - 2 * q^13 + 2 * q^14 - 16 * q^16 + 10 * q^17 - q^19 + q^20 - 5 * q^22 - 2 * q^23 + 7 * q^25 + 16 * q^26 - q^28 - 3 * q^29 + 16 * q^31 + 16 * q^32 + 32 * q^34 - 20 * q^35 + 26 * q^37 + 17 * q^38 - 5 * q^40 + 8 * q^41 - 11 * q^43 - 21 * q^44 - 32 * q^46 + q^47 - 3 * q^49 - 6 * q^50 + 41 * q^52 + 2 * q^53 + 9 * q^55 - 9 * q^56 - 8 * q^58 + 26 * q^59 - 5 * q^61 - 5 * q^62 - 30 * q^64 + 5 * q^65 - 11 * q^67 + 58 * q^68 - 39 * q^70 - 6 * q^71 - 30 * q^73 - 6 * q^74 - 9 * q^76 - 11 * q^77 + 7 * q^79 + 7 * q^80 + q^82 + 54 * q^83 - q^85 + 7 * q^86 + 8 * q^89 - 23 * q^91 - 54 * q^92 + 45 * q^94 - 12 * q^95 - 35 * q^97 - 20 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/819\mathbb{Z}\right)^\times$.

$n$	$92$	$379$	$703$
$\chi(n)$	$1$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	−1.55469			−1.09933			−0.549665	−	0.835385i	$-0.685245\pi$
$2$	−1.55469			−1.09933			−0.549665	+	0.835385i	$0.685245\pi$
$3$		0			0
$3$		0			0
$4$	0.417051			0.208526
$5$	−0.595756	+	1.03188i	−0.266430	+	0.461470i	−0.967937	−	0.251192i	$-0.919177\pi$
$5$	−0.595756	+	1.03188i	−0.266430	+	0.461470i	0.701507	+	0.712662i	$0.252511\pi$
$6$		0			0
$7$	−2.44127	+	1.01990i	−0.922713	+	0.385488i
$7$	−2.44127	+	1.01990i	−0.922713	+	0.385488i
$8$	2.46099			0.870091
$9$		0			0
$10$	0.926214	−	1.60425i	0.292894	−	0.507308i
$11$	1.05807	−	1.83263i	0.319020	−	0.552559i	−0.661264	−	0.750153i	$-0.729980\pi$
$11$	1.05807	−	1.83263i	0.319020	−	0.552559i	0.980284	+	0.197595i	$0.0633130\pi$
$12$		0			0
$13$	2.86133	−	2.19381i	0.793590	−	0.608453i
$13$	2.86133	−	2.19381i	0.793590	−	0.608453i
$14$	3.79541	−	1.58563i	1.01437	−	0.423778i
$15$		0			0
$16$	−4.66017			−1.16504
$17$	0.906303			0.219811			0.109905	−	0.993942i	$-0.464945\pi$
$17$	0.906303			0.219811			0.109905	+	0.993942i	$0.464945\pi$
$18$		0			0
$19$	−3.34514	−	5.79395i	−0.767428	−	1.32922i	−0.938953	−	0.344045i	$-0.888203\pi$
$19$	−3.34514	−	5.79395i	−0.767428	−	1.32922i	0.171525	−	0.985180i	$-0.445130\pi$
$20$	−0.248461	+	0.430346i	−0.0555575	+	0.0962284i
$21$		0			0
$22$	−1.64497	+	2.84917i	−0.350708	+	0.607444i
$23$	−3.59733			−0.750095			−0.375048	−	0.927006i	$-0.622374\pi$
$23$	−3.59733			−0.750095			−0.375048	+	0.927006i	$0.622374\pi$
$24$		0			0
$25$	1.79015	+	3.10063i	0.358030	+	0.620126i
$26$	−4.44847	+	3.41068i	−0.872417	+	0.668890i
$27$		0			0
$28$	−1.01813	+	0.425352i	−0.192409	+	0.0803840i
$29$	4.25772	+	7.37459i	0.790639	+	1.36943i	0.925572	+	0.378573i	$0.123585\pi$
$29$	4.25772	+	7.37459i	0.790639	+	1.36943i	−0.134932	+	0.990855i	$0.543082\pi$
$30$		0			0
$31$	2.64390	+	4.57937i	0.474859	+	0.822479i	0.999585	−	0.0287913i	$-0.00916583\pi$
$31$	2.64390	+	4.57937i	0.474859	+	0.822479i	−0.524727	+	0.851271i	$0.675832\pi$
$32$	2.32313			0.410675
$33$		0			0
$34$	−1.40902			−0.241644
$35$	0.401982	−	3.12671i	0.0679473	−	0.528510i
$36$		0			0
$37$	4.99159			0.820612			0.410306	−	0.911948i	$-0.365422\pi$
$37$	4.99159			0.820612			0.410306	+	0.911948i	$0.365422\pi$
$38$	5.20065	+	9.00778i	0.843656	+	1.46126i
$39$		0			0
$40$	−1.46615	+	2.53944i	−0.231818	+	0.401521i
$41$	0.768181	+	1.33053i	0.119970	+	0.207794i	0.919755	−	0.392492i	$-0.128387\pi$
$41$	0.768181	+	1.33053i	0.119970	+	0.207794i	−0.799786	+	0.600286i	$0.795054\pi$
$42$		0			0
$43$	−2.71636	+	4.70488i	−0.414242	+	0.717488i	−0.995349	−	0.0963397i	$-0.969286\pi$
$43$	−2.71636	+	4.70488i	−0.414242	+	0.717488i	0.581107	+	0.813827i	$0.302620\pi$
$44$	0.441269	−	0.764301i	0.0665238	−	0.115223i
$45$		0			0
$46$	5.59272			0.824602
$47$	−1.59337	+	2.75979i	−0.232416	+	0.402557i	−0.958519	−	0.285030i	$-0.907997\pi$
$47$	−1.59337	+	2.75979i	−0.232416	+	0.402557i	0.726102	+	0.687587i	$0.241330\pi$
$48$		0			0
$49$	4.91959	−	4.97972i	0.702799	−	0.711389i
$50$	−2.78312	−	4.82051i	−0.393593	−	0.681723i
$51$		0			0
$52$	1.19332	−	0.914930i	0.165484	−	0.126878i
$53$	−1.41239	−	2.44632i	−0.194006	−	0.336029i	0.752568	−	0.658514i	$-0.228815\pi$
$53$	−1.41239	−	2.44632i	−0.194006	−	0.336029i	−0.946574	+	0.322486i	$0.895482\pi$
$54$		0			0
$55$	1.26070	+	2.18360i	0.169993	+	0.294436i
$56$	−6.00794	+	2.50997i	−0.802844	+	0.335409i
$57$		0			0
$58$	−6.61943	−	11.4652i	−0.869173	−	1.50545i
$59$	10.2460			1.33391			0.666956	−	0.745097i	$-0.267597\pi$
$59$	10.2460			1.33391			0.666956	+	0.745097i	$0.267597\pi$
$60$		0			0
$61$	4.13423	+	7.16069i	0.529333	+	0.916832i	0.999415	+	0.0342093i	$0.0108913\pi$
$61$	4.13423	+	7.16069i	0.529333	+	0.916832i	−0.470081	+	0.882623i	$0.655775\pi$
$62$	−4.11044	−	7.11949i	−0.522026	−	0.904176i
$63$		0			0
$64$	5.70861			0.713576
$65$	0.559090	+	4.25952i	0.0693465	+	0.528328i
$66$		0			0
$67$	1.87182	−	3.24208i	0.228679	−	0.396083i	−0.728738	−	0.684793i	$-0.759893\pi$
$67$	1.87182	−	3.24208i	0.228679	−	0.396083i	0.957417	+	0.288709i	$0.0932261\pi$
$68$	0.377975			0.0458362
$69$		0			0
$70$	−0.624956	+	4.86105i	−0.0746965	+	0.581007i
$71$	−1.26510	+	2.19122i	−0.150140	+	0.260050i	−0.931279	−	0.364307i	$-0.881306\pi$
$71$	−1.26510	+	2.19122i	−0.150140	+	0.260050i	0.781139	+	0.624357i	$0.214639\pi$
$72$		0			0
$73$	2.86522	+	4.96271i	0.335349	+	0.580841i	0.983552	−	0.180627i	$-0.0578125\pi$
$73$	2.86522	+	4.96271i	0.335349	+	0.580841i	−0.648203	+	0.761468i	$0.724479\pi$
$74$	−7.76035			−0.902123
$75$		0			0
$76$	−1.39510	−	2.41638i	−0.160028	−	0.277177i
$77$	−0.713925	+	5.55307i	−0.0813593	+	0.632831i
$78$		0			0
$79$	−3.03620	+	5.25885i	−0.341599	+	0.591667i	−0.984730	−	0.174089i	$-0.944302\pi$
$79$	−3.03620	+	5.25885i	−0.341599	+	0.591667i	0.643131	+	0.765756i	$0.277635\pi$
$80$	2.77632	−	4.80873i	0.310402	−	0.537633i
$81$		0			0
$82$	−1.19428	−	2.06856i	−0.131886	−	0.228434i
$83$	11.6309			1.27665			0.638327	−	0.769766i	$-0.279627\pi$
$83$	11.6309			1.27665			0.638327	+	0.769766i	$0.279627\pi$
$84$		0			0
$85$	−0.539935	+	0.935195i	−0.0585642	+	0.101436i
$86$	4.22310	−	7.31462i	0.455388	−	0.788755i
$87$		0			0
$88$	2.60390	−	4.51008i	0.277576	−	0.480776i
$89$	17.7511			1.88162			0.940808	−	0.338939i	$-0.110068\pi$
$89$	17.7511			1.88162			0.940808	+	0.338939i	$0.110068\pi$
$90$		0			0
$91$	−4.74780	+	8.27396i	−0.497705	+	0.867346i
$92$	−1.50027			−0.156414
$93$		0			0
$94$	2.47719	−	4.29061i	0.255502	−	0.442543i
$95$	7.97155			0.817863
$96$		0			0
$97$	−3.10217	+	5.37312i	−0.314978	+	0.545557i	−0.979433	−	0.201771i	$-0.935330\pi$
$97$	−3.10217	+	5.37312i	−0.314978	+	0.545557i	0.664455	+	0.747328i	$0.268664\pi$
$98$	−7.64842	+	7.74191i	−0.772607	+	0.782051i
$99$		0			0
$100$	0.746584	+	1.29312i	0.0746584	+	0.129312i
$101$	−3.61133	+	6.25501i	−0.359341	+	0.622397i	−0.987851	−	0.155405i	$-0.950332\pi$
$101$	−3.61133	+	6.25501i	−0.359341	+	0.622397i	0.628510	+	0.777802i	$0.283665\pi$
$102$		0			0
$103$	−4.96322	+	8.59656i	−0.489041	+	0.847044i	−0.999921	−	0.0126084i	$-0.995987\pi$
$103$	−4.96322	+	8.59656i	−0.489041	+	0.847044i	0.510879	+	0.859652i	$0.329320\pi$
$104$	7.04170	−	5.39894i	0.690496	−	0.529409i
$105$		0			0
$106$	2.19582	+	3.80327i	0.213277	+	0.369406i
$107$	2.20006			0.212688			0.106344	−	0.994329i	$-0.466085\pi$
$107$	2.20006			0.212688			0.106344	+	0.994329i	$0.466085\pi$
$108$		0			0
$109$	−6.87291	−	11.9042i	−0.658305	−	1.14022i	−0.981054	−	0.193734i	$-0.937940\pi$
$109$	−6.87291	−	11.9042i	−0.658305	−	1.14022i	0.322749	−	0.946485i	$-0.395393\pi$
$110$	−1.96000	−	3.39481i	−0.186878	−	0.323683i
$111$		0			0
$112$	11.3767	−	4.75293i	1.07500	−	0.449110i
$113$	−8.04736	+	13.9384i	−0.757032	+	1.31122i	0.187326	+	0.982298i	$0.440018\pi$
$113$	−8.04736	+	13.9384i	−0.757032	+	1.31122i	−0.944358	+	0.328920i	$0.893315\pi$
$114$		0			0
$115$	2.14313	−	3.71201i	0.199848	−	0.346147i
$116$	1.77569	+	3.07558i	0.164869	+	0.285561i
$117$		0			0
$118$	−15.9293			−1.46641
$119$	−2.21253	+	0.924342i	−0.202822	+	0.0847343i
$120$		0			0
$121$	3.26098	+	5.64818i	0.296453	+	0.513471i
$122$	−6.42743	−	11.1326i	−0.581912	−	1.00790i
$123$		0			0
$124$	1.10264	+	1.90983i	0.0990202	+	0.171508i
$125$	−10.2235			−0.914420
$126$		0			0
$127$	7.83921	+	13.5779i	0.695617	+	1.20484i	0.969972	+	0.243216i	$0.0782023\pi$
$127$	7.83921	+	13.5779i	0.695617	+	1.20484i	−0.274355	+	0.961628i	$0.588464\pi$
$128$	−13.5213			−1.19513
$129$		0			0
$130$	−0.869209	−	6.62222i	−0.0762347	−	0.580807i
$131$	−4.76884	+	8.25988i	−0.416656	+	0.721669i	−0.995601	−	0.0936976i	$-0.970131\pi$
$131$	−4.76884	+	8.25988i	−0.416656	+	0.721669i	0.578945	+	0.815367i	$0.303465\pi$
$132$		0			0
$133$	14.0757	+	10.7329i	1.22052	+	0.930658i
$134$	−2.91009	+	5.04042i	−0.251393	+	0.435426i
$135$		0			0
$136$	2.23040			0.191255
$137$	2.76461			0.236197			0.118098	−	0.993002i	$-0.462320\pi$
$137$	2.76461			0.236197			0.118098	+	0.993002i	$0.462320\pi$
$138$		0			0
$139$	11.3983	−	19.7425i	0.966795	−	1.67454i	0.262081	−	0.965046i	$-0.415591\pi$
$139$	11.3983	−	19.7425i	0.966795	−	1.67454i	0.704714	−	0.709492i	$-0.251075\pi$
$140$	0.167647	−	1.30400i	0.0141688	−	0.110208i
$141$		0			0
$142$	1.96684	−	3.40666i	0.165053	−	0.285881i
$143$	−0.992950	−	7.56496i	−0.0830346	−	0.632614i
$144$		0			0
$145$	−10.1462			−0.842600
$146$	−4.45452	−	7.71546i	−0.368659	−	0.638536i
$147$		0			0
$148$	2.08175			0.171119
$149$	−7.20581	−	12.4808i	−0.590323	−	1.02247i	−0.994189	−	0.107651i	$-0.965667\pi$
$149$	−7.20581	−	12.4808i	−0.590323	−	1.02247i	0.403866	−	0.914818i	$-0.367666\pi$
$150$		0			0
$151$	−7.62901	−	13.2138i	−0.620840	−	1.07533i	−0.989330	−	0.145695i	$-0.953458\pi$
$151$	−7.62901	−	13.2138i	−0.620840	−	1.07533i	0.368489	−	0.929632i	$-0.379875\pi$
$152$	−8.23236	−	14.2589i	−0.667732	−	1.15655i
$153$		0			0
$154$	1.10993	−	8.63329i	0.0894407	−	0.695690i
$155$	−6.30048			−0.506067
$156$		0			0
$157$	5.70745	+	9.88559i	0.455504	+	0.788956i	0.998717	−	0.0506387i	$-0.0161257\pi$
$157$	5.70745	+	9.88559i	0.455504	+	0.788956i	−0.543213	+	0.839595i	$0.682792\pi$
$158$	4.72034	−	8.17587i	0.375530	−	0.650437i
$159$		0			0
$160$	−1.38402	+	2.39719i	−0.109416	+	0.189514i
$161$	8.78205	−	3.66893i	0.692122	−	0.289152i
$162$		0			0
$163$	7.20385	+	12.4774i	0.564249	+	0.977308i	0.997119	+	0.0758514i	$0.0241675\pi$
$163$	7.20385	+	12.4774i	0.564249	+	0.977308i	−0.432870	+	0.901456i	$0.642499\pi$
$164$	0.320371	+	0.554899i	0.0250168	+	0.0433303i
$165$		0			0
$166$	−18.0824			−1.40346
$167$	3.88595	+	6.73066i	0.300704	+	0.520834i	0.976296	−	0.216442i	$-0.0694452\pi$
$167$	3.88595	+	6.73066i	0.300704	+	0.520834i	−0.675592	+	0.737276i	$0.736112\pi$
$168$		0			0
$169$	3.37442	−	12.5544i	0.259571	−	0.965724i
$170$	0.839430	−	1.45394i	0.0643813	−	0.111512i
$171$		0			0
$172$	−1.13286	+	1.96218i	−0.0863800	+	0.149615i
$173$	3.04731	+	5.27809i	0.231682	+	0.401286i	0.958303	−	0.285753i	$-0.0922436\pi$
$173$	3.04731	+	5.27809i	0.231682	+	0.401286i	−0.726621	+	0.687039i	$0.758910\pi$
$174$		0			0
$175$	−7.53259	−	5.74369i	−0.569410	−	0.434182i
$176$	−4.93078	+	8.54037i	−0.371672	+	0.643754i
$177$		0			0
$178$	−27.5975			−2.06852
$179$	9.26488	−	16.0472i	0.692490	−	1.19943i	−0.278530	−	0.960428i	$-0.589847\pi$
$179$	9.26488	−	16.0472i	0.692490	−	1.19943i	0.971020	−	0.239000i	$-0.0768195\pi$
$180$		0			0
$181$	−5.60520			−0.416631			−0.208316	−	0.978062i	$-0.566798\pi$
$181$	−5.60520			−0.416631			−0.208316	+	0.978062i	$0.566798\pi$
$182$	7.38135	−	12.8634i	0.547142	−	0.953499i
$183$		0			0
$184$	−8.85299			−0.652651
$185$	−2.97377	+	5.15071i	−0.218636	+	0.378688i
$186$		0			0
$187$	0.958931	−	1.66092i	0.0701240	−	0.121458i
$188$	−0.664516	+	1.15097i	−0.0484648	+	0.0839435i
$189$		0			0
$190$	−12.3933			−0.899102
$191$	0.251851	+	0.436219i	0.0182233	+	0.0315637i	0.874993	−	0.484135i	$-0.160866\pi$
$191$	0.251851	+	0.436219i	0.0182233	+	0.0315637i	−0.856770	+	0.515699i	$0.827532\pi$
$192$		0			0
$193$	1.85622	−	3.21507i	0.133614	−	0.231426i	−0.791453	−	0.611230i	$-0.790675\pi$
$193$	1.85622	−	3.21507i	0.133614	−	0.231426i	0.925067	+	0.379804i	$0.124009\pi$
$194$	4.82290	−	8.35351i	0.346264	−	0.599747i
$195$		0			0
$196$	2.05172	−	2.07680i	0.146552	−	0.148343i
$197$	−3.72225	−	6.44713i	−0.265200	−	0.459339i	0.702416	−	0.711766i	$-0.252105\pi$
$197$	−3.72225	−	6.44713i	−0.265200	−	0.459339i	−0.967616	+	0.252427i	$0.918771\pi$
$198$		0			0
$199$	7.50556			0.532055			0.266028	−	0.963965i	$-0.414289\pi$
$199$	7.50556			0.532055			0.266028	+	0.963965i	$0.414289\pi$
$200$	4.40554	+	7.63062i	0.311519	+	0.539566i
$201$		0			0
$202$	5.61449	−	9.72458i	0.395034	−	0.684219i
$203$	−17.9156	−	13.6609i	−1.25743	−	0.958807i
$204$		0			0
$205$	−1.83059			−0.127854
$206$	7.71626	−	13.3650i	0.537617	−	0.931181i
$207$		0			0
$208$	−13.3343	+	10.2235i	−0.924567	+	0.708873i
$209$	−14.1576			−0.979299
$210$		0			0
$211$	−1.89531	−	3.28278i	−0.130479	−	0.225996i	0.793383	−	0.608723i	$-0.208318\pi$
$211$	−1.89531	−	3.28278i	−0.130479	−	0.225996i	−0.923861	+	0.382728i	$0.874985\pi$
$212$	−0.589037	−	1.02024i	−0.0404553	−	0.0700706i
$213$		0			0
$214$	−3.42041			−0.233814
$215$	−3.23658	−	5.60592i	−0.220733	−	0.382320i
$216$		0			0
$217$	−11.1250	−	8.48295i	−0.755214	−	0.575860i
$218$	10.6852	+	18.5073i	0.723695	+	1.25348i
$219$		0			0
$220$	0.525777	+	0.910673i	0.0354479	+	0.0613975i
$221$	2.59323	−	1.98825i	0.174440	−	0.133744i
$222$		0			0
$223$	−2.43440	−	4.21650i	−0.163019	−	0.282358i	0.772931	−	0.634490i	$-0.218790\pi$
$223$	−2.43440	−	4.21650i	−0.163019	−	0.282358i	−0.935950	+	0.352133i	$0.885457\pi$
$224$	−5.67138	+	2.36937i	−0.378935	+	0.158310i
$225$		0			0
$226$	12.5111	−	21.6699i	0.832228	−	1.44146i
$227$	−24.1767			−1.60466			−0.802332	−	0.596877i	$-0.796408\pi$
$227$	−24.1767			−1.60466			−0.802332	+	0.596877i	$0.796408\pi$
$228$		0			0
$229$	10.8561	−	18.8034i	0.717394	−	1.24256i	−0.244635	−	0.969615i	$-0.578668\pi$
$229$	10.8561	−	18.8034i	0.717394	−	1.24256i	0.962029	−	0.272947i	$-0.0879985\pi$
$230$	−3.33190	+	5.77101i	−0.219699	+	0.380529i
$231$		0			0
$232$	10.4782	+	18.1488i	0.687928	+	1.19153i
$233$	1.89842	−	3.28816i	0.124370	−	0.215414i	−0.797117	−	0.603825i	$-0.793642\pi$
$233$	1.89842	−	3.28816i	0.124370	−	0.215414i	0.921486	+	0.388411i	$0.126976\pi$
$234$		0			0
$235$	−1.89851	−	3.28832i	−0.123845	−	0.214507i
$236$	4.27309			0.278155
$237$		0			0
$238$	3.43979	−	1.43706i	0.222968	−	0.0931509i
$239$	−21.9100			−1.41724			−0.708619	−	0.705592i	$-0.750681\pi$
$239$	−21.9100			−1.41724			−0.708619	+	0.705592i	$0.750681\pi$
$240$		0			0
$241$	−20.7488			−1.33655			−0.668273	−	0.743916i	$-0.732966\pi$
$241$	−20.7488			−1.33655			−0.668273	+	0.743916i	$0.732966\pi$
$242$	−5.06980	−	8.78115i	−0.325899	−	0.564474i
$243$		0			0
$244$	1.72418	+	2.98637i	0.110380	+	0.191183i
$245$	2.20760	+	8.04312i	0.141038	+	0.513856i
$246$		0			0
$247$	−22.2824	−	9.23982i	−1.41779	−	0.587916i
$248$	6.50661	+	11.2698i	0.413170	+	0.715632i
$249$		0			0
$250$	15.8944			1.00525
$251$	6.62891	−	11.4816i	0.418413	−	0.724713i	−0.577367	−	0.816485i	$-0.695920\pi$
$251$	6.62891	−	11.4816i	0.418413	−	0.724713i	0.995780	+	0.0917718i	$0.0292530\pi$
$252$		0			0
$253$	−3.80622	+	6.59257i	−0.239295	+	0.414472i
$254$	−12.1875	−	21.1094i	−0.764713	−	1.32452i
$255$		0			0
$256$	9.60425			0.600266
$257$	13.1711			0.821590			0.410795	−	0.911728i	$-0.365251\pi$
$257$	13.1711			0.821590			0.410795	+	0.911728i	$0.365251\pi$
$258$		0			0
$259$	−12.1858	+	5.09094i	−0.757189	+	0.316336i
$260$	0.233169	+	1.77644i	0.0144605	+	0.110170i
$261$		0			0
$262$	7.41406	−	12.8415i	0.458042	−	0.793352i
$263$	−9.57028	+	16.5762i	−0.590129	+	1.02213i	0.404086	+	0.914721i	$0.367590\pi$
$263$	−9.57028	+	16.5762i	−0.590129	+	1.02213i	−0.994215	+	0.107412i	$0.965744\pi$
$264$		0			0
$265$	3.36575			0.206756
$266$	−21.8833	−	16.6863i	−1.34175	−	1.02310i
$267$		0			0
$268$	0.780643	−	1.35211i	0.0476854	−	0.0825935i
$269$	28.4822			1.73659			0.868296	−	0.496047i	$-0.165216\pi$
$269$	28.4822			1.73659			0.868296	+	0.496047i	$0.165216\pi$
$270$		0			0
$271$	17.9474			1.09023			0.545114	−	0.838362i	$-0.316486\pi$
$271$	17.9474			1.09023			0.545114	+	0.838362i	$0.316486\pi$
$272$	−4.22353			−0.256089
$273$		0			0
$274$	−4.29811			−0.259658
$275$	7.57641			0.456875
$276$		0			0
$277$	13.4389			0.807463			0.403732	−	0.914877i	$-0.367713\pi$
$277$	13.4389			0.807463			0.403732	+	0.914877i	$0.367713\pi$
$278$	−17.7209	+	30.6934i	−1.06283	+	1.84087i
$279$		0			0
$280$	0.989273	−	7.69480i	0.0591204	−	0.459852i
$281$	29.9530			1.78685			0.893424	−	0.449214i	$-0.148296\pi$
$281$	29.9530			1.78685			0.893424	+	0.449214i	$0.148296\pi$
$282$		0			0
$283$	4.94561	−	8.56604i	0.293986	−	0.509199i	−0.680763	−	0.732504i	$-0.738351\pi$
$283$	4.94561	−	8.56604i	0.293986	−	0.509199i	0.974748	+	0.223306i	$0.0716848\pi$
$284$	−0.527613	+	0.913852i	−0.0313080	+	0.0542271i
$285$		0			0
$286$	1.54373	+	11.7611i	0.0912824	+	0.695451i
$287$	−3.23235	−	2.46471i	−0.190800	−	0.145487i
$288$		0			0
$289$	−16.1786			−0.951683
$290$	15.7742			0.926295
$291$		0			0
$292$	1.19494	+	2.06970i	0.0699288	+	0.121120i
$293$	3.95529	−	6.85076i	0.231071	−	0.400226i	−0.727053	−	0.686581i	$-0.759111\pi$
$293$	3.95529	−	6.85076i	0.231071	−	0.400226i	0.958123	+	0.286356i	$0.0924438\pi$
$294$		0			0
$295$	−6.10409	+	10.5726i	−0.355394	+	0.615561i
$296$	12.2842			0.714007
$297$		0			0
$298$	11.2028	+	19.4038i	0.648959	+	1.12403i
$299$	−10.2931	+	7.89185i	−0.595268	+	0.456397i
$300$		0			0
$301$	1.83285	−	14.2563i	0.105644	−	0.821720i
$302$	11.8607	+	20.5434i	0.682508	+	1.18214i
$303$		0			0
$304$	15.5889	+	27.0008i	0.894086	+	1.54860i
$305$	−9.85196			−0.564121
$306$		0			0
$307$	1.27238			0.0726187			0.0363094	−	0.999341i	$-0.488440\pi$
$307$	1.27238			0.0726187			0.0363094	+	0.999341i	$0.488440\pi$
$308$	−0.297743	+	2.31592i	−0.0169655	+	0.131962i
$309$		0			0
$310$	9.79527			0.556334
$311$	12.3817	+	21.4458i	0.702103	+	1.21608i	0.967727	+	0.252002i	$0.0810888\pi$
$311$	12.3817	+	21.4458i	0.702103	+	1.21608i	−0.265624	+	0.964077i	$0.585578\pi$
$312$		0			0
$313$	−1.18826	+	2.05812i	−0.0671642	+	0.116332i	−0.897652	−	0.440705i	$-0.854728\pi$
$313$	−1.18826	+	2.05812i	−0.0671642	+	0.116332i	0.830488	+	0.557037i	$0.188062\pi$
$314$	−8.87330	−	15.3690i	−0.500749	−	0.867323i
$315$		0			0
$316$	−1.26625	+	2.19321i	−0.0712322	+	0.123378i
$317$	−9.88979	+	17.1296i	−0.555466	+	0.962096i	0.442401	+	0.896817i	$0.354127\pi$
$317$	−9.88979	+	17.1296i	−0.555466	+	0.962096i	−0.997867	+	0.0652782i	$0.979207\pi$
$318$		0			0
$319$	18.0199			1.00892
$320$	−3.40093	+	5.89059i	−0.190118	+	0.329294i
$321$		0			0
$322$	−13.6533	+	5.70404i	−0.760871	+	0.317874i
$323$	−3.03171	−	5.25108i	−0.168689	−	0.292178i
$324$		0			0
$325$	11.9244	+	4.94469i	0.661447	+	0.274282i
$326$	−11.1997	−	19.3985i	−0.620295	−	1.07438i
$327$		0			0
$328$	1.89049	+	3.27442i	0.104385	+	0.180799i
$329$	1.07511	−	8.36248i	0.0592729	−	0.461038i
$330$		0			0
$331$	−1.96386	−	3.40151i	−0.107944	−	0.186964i	0.806993	−	0.590561i	$-0.201093\pi$
$331$	−1.96386	−	3.40151i	−0.107944	−	0.186964i	−0.914937	+	0.403596i	$0.867760\pi$
$332$	4.85067			0.266215
$333$		0			0
$334$	−6.04143	−	10.4641i	−0.330572	−	0.572568i
$335$	2.23029	+	3.86298i	0.121854	+	0.211057i
$336$		0			0
$337$	−7.14099			−0.388995			−0.194497	−	0.980903i	$-0.562308\pi$
$337$	−7.14099			−0.388995			−0.194497	+	0.980903i	$0.562308\pi$
$338$	−5.24617	+	19.5182i	−0.285354	+	1.06165i
$339$		0			0
$340$	−0.225181	+	0.390024i	−0.0122121	+	0.0211520i
$341$	11.1897			0.605958
$342$		0			0
$343$	−6.93120	+	17.1744i	−0.374250	+	0.927328i
$344$	−6.68494	+	11.5787i	−0.360428	+	0.624280i
$345$		0			0
$346$	−4.73761	−	8.20578i	−0.254695	−	0.441145i
$347$	−10.0700			−0.540584			−0.270292	−	0.962778i	$-0.587120\pi$
$347$	−10.0700			−0.540584			−0.270292	+	0.962778i	$0.587120\pi$
$348$		0			0
$349$	3.14418	+	5.44588i	0.168304	+	0.291512i	0.937824	−	0.347112i	$-0.112838\pi$
$349$	3.14418	+	5.44588i	0.168304	+	0.291512i	−0.769520	+	0.638623i	$0.779504\pi$
$350$	11.7108	+	8.92964i	0.625969	+	0.477310i
$351$		0			0
$352$	2.45803	−	4.25743i	0.131013	−	0.226922i
$353$	17.0836	−	29.5897i	0.909269	−	1.57490i	0.0941861	−	0.995555i	$-0.469975\pi$
$353$	17.0836	−	29.5897i	0.909269	−	1.57490i	0.815083	−	0.579345i	$-0.196692\pi$
$354$		0			0
$355$	−1.50738	−	2.61087i	−0.0800036	−	0.138570i
$356$	7.40313			0.392365
$357$		0			0
$358$	−14.4040	+	24.9484i	−0.761274	+	1.31857i
$359$	9.34327	−	16.1830i	0.493119	−	0.854107i	−0.506850	−	0.862034i	$-0.669190\pi$
$359$	9.34327	−	16.1830i	0.493119	−	0.854107i	0.999969	+	0.00792750i	$0.00252343\pi$
$360$		0			0
$361$	−12.8799	+	22.3087i	−0.677891	+	1.17414i
$362$	8.71433			0.458015
$363$		0			0
$364$	−1.98008	+	3.45066i	−0.103784	+	0.180864i
$365$	−6.82788			−0.357388
$366$		0			0
$367$	15.5305	−	26.8997i	0.810687	−	1.40415i	−0.101696	−	0.994816i	$-0.532427\pi$
$367$	15.5305	−	26.8997i	0.810687	−	1.40415i	0.912384	−	0.409336i	$-0.134240\pi$
$368$	16.7642			0.873893
$369$		0			0
$370$	4.62327	−	8.00775i	0.240353	−	0.416303i
$371$	5.94303	+	4.53164i	0.308547	+	0.235271i
$372$		0			0
$373$	1.46852	+	2.54355i	0.0760371	+	0.131700i	0.901537	−	0.432702i	$-0.142440\pi$
$373$	1.46852	+	2.54355i	0.0760371	+	0.131700i	−0.825500	+	0.564403i	$0.809107\pi$
$374$	−1.49084	+	2.58221i	−0.0770894	+	0.133523i
$375$		0			0
$376$	−3.92126	+	6.79182i	−0.202223	+	0.350261i
$377$	28.3612	+	11.7605i	1.46068	+	0.605698i
$378$		0			0
$379$	−5.04254	−	8.73394i	−0.259018	−	0.448632i	0.706961	−	0.707252i	$-0.250066\pi$
$379$	−5.04254	−	8.73394i	−0.259018	−	0.448632i	−0.965979	+	0.258620i	$0.916732\pi$
$380$	3.32454			0.170545
$381$		0			0
$382$	−0.391550	−	0.678184i	−0.0200334	−	0.0346989i
$383$	1.84466	+	3.19504i	0.0942576	+	0.163259i	0.909299	−	0.416144i	$-0.136619\pi$
$383$	1.84466	+	3.19504i	0.0942576	+	0.163259i	−0.815041	+	0.579403i	$0.803286\pi$
$384$		0			0
$385$	−5.30477	−	4.04496i	−0.270356	−	0.206150i
$386$	−2.88584	+	4.99842i	−0.146885	+	0.254413i
$387$		0			0
$388$	−1.29376	+	2.24086i	−0.0656809	+	0.113763i
$389$	11.3333	+	19.6299i	0.574623	+	0.995277i	0.996082	+	0.0884295i	$0.0281848\pi$
$389$	11.3333	+	19.6299i	0.574623	+	0.995277i	−0.421459	+	0.906847i	$0.638482\pi$
$390$		0			0
$391$	−3.26027			−0.164879
$392$	12.1071	−	12.2550i	0.611499	−	0.618973i
$393$		0			0
$394$	5.78694	+	10.0233i	0.291542	+	0.504965i
$395$	−3.61767	−	6.26598i	−0.182025	−	0.315276i
$396$		0			0
$397$	14.5680	+	25.2325i	0.731146	+	1.26638i	0.956394	+	0.292080i	$0.0943475\pi$
$397$	14.5680	+	25.2325i	0.731146	+	1.26638i	−0.225248	+	0.974302i	$0.572319\pi$
$398$	−11.6688			−0.584904
$399$		0			0
$400$	−8.34241	−	14.4495i	−0.417120	−	0.722474i
$401$	−8.12052			−0.405519			−0.202760	−	0.979229i	$-0.564991\pi$
$401$	−8.12052			−0.405519			−0.202760	+	0.979229i	$0.564991\pi$
$402$		0			0
$403$	17.6113	+	7.30289i	0.877283	+	0.363783i
$404$	−1.50611	+	2.60866i	−0.0749318	+	0.129786i
$405$		0			0
$406$	27.8532	+	21.2384i	1.38233	+	1.05404i
$407$	5.28144	−	9.14773i	0.261791	−	0.453436i
$408$		0			0
$409$	−8.32261			−0.411527			−0.205763	−	0.978602i	$-0.565968\pi$
$409$	−8.32261			−0.411527			−0.205763	+	0.978602i	$0.565968\pi$
$410$	2.84600			0.140554
$411$		0			0
$412$	−2.06992	+	3.58520i	−0.101978	+	0.176630i
$413$	−25.0132	+	10.4499i	−1.23082	+	0.514206i
$414$		0			0
$415$	−6.92915	+	12.0016i	−0.340139	+	0.589138i
$416$	6.64723	−	5.09649i	0.325907	−	0.249876i
$417$		0			0
$418$	22.0106			1.07657
$419$	−6.50832	−	11.2727i	−0.317952	−	0.550710i	0.662108	−	0.749408i	$-0.269662\pi$
$419$	−6.50832	−	11.2727i	−0.317952	−	0.550710i	−0.980061	+	0.198699i	$0.936329\pi$
$420$		0			0
$421$	−8.89681			−0.433604			−0.216802	−	0.976216i	$-0.569563\pi$
$421$	−8.89681			−0.433604			−0.216802	+	0.976216i	$0.569563\pi$
$422$	2.94662	+	5.10369i	0.143439	+	0.248444i
$423$		0			0
$424$	−3.47587	−	6.02038i	−0.168803	−	0.292376i
$425$	1.62242	+	2.81011i	0.0786988	+	0.136310i
$426$		0			0
$427$	−17.3960	−	13.2647i	−0.841850	−	0.641922i
$428$	0.917539			0.0443509
$429$		0			0
$430$	5.03187	+	8.71545i	0.242658	+	0.420296i
$431$	−4.47872	+	7.75736i	−0.215732	+	0.373659i	−0.953499	−	0.301397i	$-0.902547\pi$
$431$	−4.47872	+	7.75736i	−0.215732	+	0.373659i	0.737767	+	0.675056i	$0.235880\pi$
$432$		0			0
$433$	0.0864547	−	0.149744i	0.00415475	−	0.00719624i	−0.863941	−	0.503594i	$-0.832011\pi$
$433$	0.0864547	−	0.149744i	0.00415475	−	0.00719624i	0.868095	+	0.496398i	$0.165344\pi$
$434$	17.2959	+	13.1883i	0.830229	+	0.633060i
$435$		0			0
$436$	−2.86636	−	4.96467i	−0.137274	−	0.237765i
$437$	12.0336	+	20.8428i	0.575644	+	0.997045i
$438$		0			0
$439$	9.54160			0.455396			0.227698	−	0.973732i	$-0.426880\pi$
$439$	9.54160			0.455396			0.227698	+	0.973732i	$0.426880\pi$
$440$	3.10257	+	5.37382i	0.147909	+	0.256187i
$441$		0			0
$442$	−4.03166	+	3.09111i	−0.191767	+	0.147029i
$443$	−6.93676	+	12.0148i	−0.329576	+	0.570842i	−0.982428	−	0.186644i	$-0.940239\pi$
$443$	−6.93676	+	12.0148i	−0.329576	+	0.570842i	0.652852	+	0.757485i	$0.273572\pi$
$444$		0			0
$445$	−10.5753	+	18.3170i	−0.501319	+	0.868310i
$446$	3.78473	+	6.55534i	0.179212	+	0.310404i
$447$		0			0
$448$	−13.9362	+	5.82223i	−0.658426	+	0.275075i
$449$	−10.6456	+	18.4388i	−0.502398	+	0.870180i	0.497598	+	0.867408i	$0.334216\pi$
$449$	−10.6456	+	18.4388i	−0.502398	+	0.870180i	−0.999996	+	0.00277167i	$0.999118\pi$
$450$		0			0
$451$	3.25116			0.153091
$452$	−3.35616	+	5.81304i	−0.157861	+	0.273423i
$453$		0			0
$454$	37.5872			1.76406
$455$	−5.70919	−	9.82842i	−0.267651	−	0.460763i
$456$		0			0
$457$	9.68564			0.453075			0.226538	−	0.974002i	$-0.427259\pi$
$457$	9.68564			0.453075			0.226538	+	0.974002i	$0.427259\pi$
$458$	−16.8779	+	29.2334i	−0.788652	+	1.36599i
$459$		0			0
$460$	0.893795	−	1.54810i	0.0416734	−	0.0721804i
$461$	−0.687178	+	1.19023i	−0.0320051	+	0.0554344i	−0.881584	−	0.472027i	$-0.843523\pi$
$461$	−0.687178	+	1.19023i	−0.0320051	+	0.0554344i	0.849579	+	0.527461i	$0.176856\pi$
$462$		0			0
$463$	31.7710			1.47653			0.738263	−	0.674513i	$-0.235646\pi$
$463$	31.7710			1.47653			0.738263	+	0.674513i	$0.235646\pi$
$464$	−19.8417	−	34.3669i	−0.921128	−	1.59544i
$465$		0			0
$466$	−2.95145	+	5.11206i	−0.136723	+	0.236812i
$467$	−14.5605	+	25.2195i	−0.673778	+	1.16702i	0.303046	+	0.952976i	$0.401996\pi$
$467$	−14.5605	+	25.2195i	−0.673778	+	1.16702i	−0.976824	+	0.214042i	$0.931337\pi$
$468$		0			0
$469$	−1.26299	+	9.82387i	−0.0583197	+	0.453624i
$470$	2.95160	+	5.11231i	0.136147	+	0.235813i
$471$		0			0
$472$	25.2152			1.16062
$473$	5.74820	+	9.95618i	0.264303	+	0.457786i
$474$		0			0
$475$	11.9766	−	20.7441i	0.549525	−	0.951804i
$476$	−0.922738	+	0.385498i	−0.0422936	+	0.0176693i
$477$		0			0
$478$	34.0631			1.55801
$479$	4.86092	−	8.41936i	0.222101	−	0.384690i	−0.733345	−	0.679857i	$-0.762042\pi$
$479$	4.86092	−	8.41936i	0.222101	−	0.384690i	0.955446	+	0.295167i	$0.0953752\pi$
$480$		0			0
$481$	14.2826	−	10.9506i	0.651229	−	0.499303i
$482$	32.2578			1.46930
$483$		0			0
$484$	1.36000	+	2.35558i	0.0618180	+	0.107072i
$485$	−3.69627	−	6.40213i	−0.167839	−	0.290706i
$486$		0			0
$487$	−17.1133			−0.775478			−0.387739	−	0.921769i	$-0.626744\pi$
$487$	−17.1133			−0.775478			−0.387739	+	0.921769i	$0.626744\pi$
$488$	10.1743	+	17.6224i	0.460568	+	0.797728i
$489$		0			0
$490$	−3.43212	−	12.5045i	−0.155048	−	0.564897i
$491$	−12.8607	−	22.2753i	−0.580394	−	1.00527i	−0.995432	−	0.0954681i	$-0.969565\pi$
$491$	−12.8607	−	22.2753i	−0.580394	−	1.00527i	0.415038	−	0.909804i	$-0.363768\pi$
$492$		0			0
$493$	3.85879	+	6.68361i	0.173791	+	0.301015i
$494$	34.6421	+	14.3650i	1.55862	+	0.646313i
$495$		0			0
$496$	−12.3210	−	21.3407i	−0.553231	−	0.958224i
$497$	0.853619	−	6.63965i	0.0382900	−	0.297829i
$498$		0			0
$499$	−2.70198	+	4.67996i	−0.120957	+	0.209504i	−0.920145	−	0.391577i	$-0.871930\pi$
$499$	−2.70198	+	4.67996i	−0.120957	+	0.209504i	0.799188	+	0.601081i	$0.205263\pi$
$500$	−4.26373			−0.190680
$501$		0			0
$502$	−10.3059	+	17.8503i	−0.459974	+	0.796699i
$503$	−6.30847	+	10.9266i	−0.281281	+	0.487193i	−0.971700	−	0.236216i	$-0.924093\pi$
$503$	−6.30847	+	10.9266i	−0.281281	+	0.487193i	0.690420	+	0.723409i	$0.257426\pi$
$504$		0			0
$505$	−4.30294	−	7.45292i	−0.191478	−	0.331650i
$506$	5.91749	−	10.2494i	0.263064	−	0.455641i
$507$		0			0
$508$	3.26935	+	5.66268i	0.145054	+	0.251241i
$509$	1.95876			0.0868204			0.0434102	−	0.999057i	$-0.486178\pi$
$509$	1.95876			0.0868204			0.0434102	+	0.999057i	$0.486178\pi$
$510$		0			0
$511$	−12.0563	−	9.19305i	−0.533338	−	0.406677i
$512$	12.1111			0.535240
$513$		0			0
$514$	−20.4769			−0.903198
$515$	−5.91374	−	10.2429i	−0.260590	−	0.451356i
$516$		0			0
$517$	3.37178	+	5.84010i	0.148291	+	0.256847i
$518$	18.9451	−	7.91482i	0.832400	−	0.347757i
$519$		0			0
$520$	1.37591	+	10.4826i	0.0603378	+	0.459694i
$521$	−19.5477	−	33.8576i	−0.856401	−	1.48333i	−0.875339	−	0.483509i	$-0.839362\pi$
$521$	−19.5477	−	33.8576i	−0.856401	−	1.48333i	0.0189387	−	0.999821i	$-0.493971\pi$
$522$		0			0
$523$	−8.71268			−0.380979			−0.190489	−	0.981689i	$-0.561007\pi$
$523$	−8.71268			−0.380979			−0.190489	+	0.981689i	$0.561007\pi$
$524$	−1.98885	+	3.44479i	−0.0868834	+	0.150486i
$525$		0			0
$526$	14.8788	−	25.7708i	0.648746	−	1.12366i
$527$	2.39618	+	4.15030i	0.104379	+	0.180790i
$528$		0			0
$529$	−10.0592			−0.437357
$530$	−5.23269			−0.227293
$531$		0			0
$532$	5.87028	+	4.47616i	0.254509	+	0.194066i
$533$	5.11694	+	2.12184i	0.221639	+	0.0919072i
$534$		0			0
$535$	−1.31070	+	2.27020i	−0.0566665	+	0.0981493i
$536$	4.60652	−	7.97873i	0.198971	−	0.344629i
$537$		0			0
$538$	−44.2809			−1.90909
$539$	−3.92072	−	14.2847i	−0.168877	−	0.615285i
$540$		0			0
$541$	10.7497	−	18.6190i	0.462165	−	0.800493i	−0.536904	−	0.843644i	$-0.680406\pi$
$541$	10.7497	−	18.6190i	0.462165	−	0.800493i	0.999069	+	0.0431505i	$0.0137395\pi$
$542$	−27.9026			−1.19852
$543$		0			0
$544$	2.10546			0.0902707
$545$	16.3783			0.701569
$546$		0			0
$547$	−30.2968			−1.29540			−0.647699	−	0.761896i	$-0.724269\pi$
$547$	−30.2968			−1.29540			−0.647699	+	0.761896i	$0.724269\pi$
$548$	1.15299			0.0492531
$549$		0			0
$550$	−11.7789			−0.502256
$551$	28.4854	−	49.3381i	1.21352	−	2.10187i
$552$		0			0
$553$	2.04865	−	15.9349i	0.0871176	−	0.677621i
$554$	−20.8932			−0.887668
$555$		0			0
$556$	4.75369	−	8.23364i	0.201601	−	0.349184i
$557$	−8.84201	+	15.3148i	−0.374648	+	0.648909i	−0.990274	−	0.139129i	$-0.955570\pi$
$557$	−8.84201	+	15.3148i	−0.374648	+	0.648909i	0.615626	+	0.788038i	$0.288903\pi$
$558$		0			0
$559$	2.54918	+	19.4214i	0.107819	+	0.821437i
$560$	−1.87330	+	14.5710i	−0.0791616	+	0.615737i
$561$		0			0
$562$	−46.5676			−1.96433
$563$	41.7390			1.75909			0.879545	−	0.475816i	$-0.157847\pi$
$563$	41.7390			1.75909			0.879545	+	0.475816i	$0.157847\pi$
$564$		0			0
$565$	−9.58852	−	16.6078i	−0.403392	−	0.698696i
$566$	−7.68887	+	13.3175i	−0.323187	+	0.559777i
$567$		0			0
$568$	−3.11340	+	5.39257i	−0.130636	+	0.226267i
$569$	−5.46775			−0.229220			−0.114610	−	0.993411i	$-0.536562\pi$
$569$	−5.46775			−0.229220			−0.114610	+	0.993411i	$0.536562\pi$
$570$		0			0
$571$	−4.67621	−	8.09944i	−0.195693	−	0.338951i	0.751434	−	0.659808i	$-0.229362\pi$
$571$	−4.67621	−	8.09944i	−0.195693	−	0.338951i	−0.947128	+	0.320857i	$0.896029\pi$
$572$	−0.414111	−	3.15498i	−0.0173149	−	0.131916i
$573$		0			0
$574$	5.02529	+	3.83185i	0.209752	+	0.159938i
$575$	−6.43976	−	11.1540i	−0.268557	−	0.465154i
$576$		0			0
$577$	1.68462	+	2.91786i	0.0701318	+	0.121472i	0.898959	−	0.438033i	$-0.144325\pi$
$577$	1.68462	+	2.91786i	0.0701318	+	0.121472i	−0.828827	+	0.559505i	$0.810991\pi$
$578$	25.1527			1.04621
$579$		0			0
$580$	−4.23151			−0.175704
$581$	−28.3941	+	11.8624i	−1.17798	+	0.492134i
$582$		0			0
$583$	−5.97761			−0.247567
$584$	7.05128	+	12.2132i	0.291784	+	0.505385i
$585$		0			0
$586$	−6.14924	+	10.6508i	−0.254023	+	0.439980i
$587$	−6.57639	−	11.3906i	−0.271437	−	0.470142i	0.697793	−	0.716299i	$-0.254165\pi$
$587$	−6.57639	−	11.3906i	−0.271437	−	0.470142i	−0.969230	+	0.246157i	$0.920832\pi$
$588$		0			0
$589$	17.6884	−	30.6373i	0.728840	−	1.26239i
$590$	9.48995	−	16.4371i	0.390695	−	0.676704i
$591$		0			0
$592$	−23.2616			−0.956048
$593$	19.2958	−	33.4213i	0.792384	−	1.37245i	−0.132102	−	0.991236i	$-0.542173\pi$
$593$	19.2958	−	33.4213i	0.792384	−	1.37245i	0.924487	−	0.381214i	$-0.124494\pi$
$594$		0			0
$595$	0.364317	−	2.83374i	0.0149356	−	0.116172i
$596$	−3.00519	−	5.20515i	−0.123097	−	0.213211i
$597$		0			0
$598$	16.0026	−	12.2694i	0.654396	−	0.501731i
$599$	9.20762	+	15.9481i	0.376213	+	0.651620i	0.990508	−	0.137457i	$-0.0438927\pi$
$599$	9.20762	+	15.9481i	0.376213	+	0.651620i	−0.614295	+	0.789077i	$0.710559\pi$
$600$		0			0
$601$	20.7018	+	35.8566i	0.844445	+	1.46262i	0.886102	+	0.463490i	$0.153403\pi$
$601$	20.7018	+	35.8566i	0.844445	+	1.46262i	−0.0416571	+	0.999132i	$0.513264\pi$
$602$	−2.84950	+	22.1641i	−0.116137	+	0.903341i
$603$		0			0
$604$	−3.18169	−	5.51085i	−0.129461	−	0.224233i
$605$	−7.77099			−0.315936
$606$		0			0
$607$	−6.15255	−	10.6565i	−0.249724	−	0.432535i	0.713725	−	0.700426i	$-0.247007\pi$
$607$	−6.15255	−	10.6565i	−0.249724	−	0.432535i	−0.963449	+	0.267891i	$0.913673\pi$
$608$	−7.77119	−	13.4601i	−0.315163	−	0.545879i
$609$		0			0
$610$	15.3167			0.620155
$611$	1.49530	+	11.3922i	0.0604934	+	0.460880i
$612$		0			0
$613$	−13.1112	+	22.7093i	−0.529556	+	0.917219i	0.469849	+	0.882747i	$0.344308\pi$
$613$	−13.1112	+	22.7093i	−0.529556	+	0.917219i	−0.999406	+	0.0344720i	$0.989025\pi$
$614$	−1.97816			−0.0798319
$615$		0			0
$616$	−1.75696	+	13.6661i	−0.0707900	+	0.550621i
$617$	−9.41259	+	16.3031i	−0.378936	+	0.656337i	−0.990908	−	0.134543i	$-0.957043\pi$
$617$	−9.41259	+	16.3031i	−0.378936	+	0.656337i	0.611971	+	0.790880i	$0.290377\pi$
$618$		0			0
$619$	7.90415	+	13.6904i	0.317695	+	0.550263i	0.980007	−	0.198965i	$-0.0637580\pi$
$619$	7.90415	+	13.6904i	0.317695	+	0.550263i	−0.662312	+	0.749228i	$0.730425\pi$
$620$	−2.62762			−0.105528
$621$		0			0
$622$	−19.2497	−	33.3415i	−0.771843	−	1.33687i
$623$	−43.3353	+	18.1045i	−1.73619	+	0.725340i
$624$		0			0
$625$	−2.86003	+	4.95371i	−0.114401	+	0.198149i
$626$	1.84737	−	3.19973i	0.0738356	−	0.127887i
$627$		0			0
$628$	2.38030	+	4.12280i	0.0949843	+	0.164518i
$629$	4.52389			0.180379
$630$		0			0
$631$	8.33817	−	14.4421i	0.331937	−	0.574933i	−0.650954	−	0.759117i	$-0.725631\pi$
$631$	8.33817	−	14.4421i	0.331937	−	0.574933i	0.982892	+	0.184184i	$0.0589644\pi$
$632$	−7.47206	+	12.9420i	−0.297222	+	0.514804i
$633$		0			0
$634$	15.3755	−	26.6312i	0.610640	−	1.05766i
$635$	−18.6810			−0.741333
$636$		0			0
$637$	3.15202	−	25.0413i	0.124888	−	0.992171i
$638$	−28.0152			−1.10913
$639$		0			0
$640$	8.05542	−	13.9524i	0.318418	−	0.551517i
$641$	−49.2464			−1.94512			−0.972559	−	0.232658i	$-0.925258\pi$
$641$	−49.2464			−1.94512			−0.972559	+	0.232658i	$0.925258\pi$
$642$		0			0
$643$	−21.4355	+	37.1275i	−0.845335	+	1.46416i	0.0399940	+	0.999200i	$0.487266\pi$
$643$	−21.4355	+	37.1275i	−0.845335	+	1.46416i	−0.885330	+	0.464964i	$0.846067\pi$
$644$	3.66256	−	1.53013i	0.144325	−	0.0602957i
$645$		0			0
$646$	4.71336	+	8.16378i	0.185445	+	0.321200i
$647$	2.12929	−	3.68804i	0.0837112	−	0.144992i	−0.821130	−	0.570741i	$-0.806656\pi$
$647$	2.12929	−	3.68804i	0.0837112	−	0.144992i	0.904841	+	0.425749i	$0.139989\pi$
$648$		0			0
$649$	10.8409	−	18.7771i	0.425544	−	0.737064i
$650$	−18.5387	−	7.68744i	−0.727148	−	0.301526i
$651$		0			0
$652$	3.00437	+	5.20373i	0.117660	+	0.203794i
$653$	2.09552			0.0820040			0.0410020	−	0.999159i	$-0.486945\pi$
$653$	2.09552			0.0820040			0.0410020	+	0.999159i	$0.486945\pi$
$654$		0			0
$655$	−5.68213	−	9.84174i	−0.222019	−	0.384549i
$656$	−3.57986	−	6.20049i	−0.139770	−	0.242089i
$657$		0			0
$658$	−1.67146	+	13.0010i	−0.0651604	+	0.506833i
$659$	12.7259	−	22.0419i	0.495732	−	0.858632i	−0.504256	−	0.863554i	$-0.668233\pi$
$659$	12.7259	−	22.0419i	0.495732	−	0.858632i	0.999988	+	0.00492170i	$0.00156663\pi$
$660$		0			0
$661$	−13.9054	+	24.0848i	−0.540857	+	0.936792i	0.457998	+	0.888953i	$0.348567\pi$
$661$	−13.9054	+	24.0848i	−0.540857	+	0.936792i	−0.998855	+	0.0478387i	$0.984767\pi$
$662$	3.05319	+	5.28829i	0.118666	+	0.205535i
$663$		0			0
$664$	28.6234			1.11080
$665$	−19.4607	+	8.13022i	−0.754653	+	0.315276i
$666$		0			0
$667$	−15.3164	−	26.5288i	−0.593055	−	1.02720i
$668$	1.62064	+	2.80703i	0.0627044	+	0.108607i
$669$		0			0
$670$	−3.46740	−	6.00572i	−0.133957	−	0.232021i
$671$	17.4972			0.675472
$672$		0			0
$673$	−7.76033	−	13.4413i	−0.299139	−	0.518124i	0.676800	−	0.736167i	$-0.263366\pi$
$673$	−7.76033	−	13.4413i	−0.299139	−	0.518124i	−0.975939	+	0.218043i	$0.930033\pi$
$674$	11.1020			0.427633
$675$		0			0
$676$	1.40731	−	5.23583i	0.0541272	−	0.201378i
$677$	17.2813	−	29.9321i	0.664175	−	1.15038i	−0.315334	−	0.948981i	$-0.602116\pi$
$677$	17.2813	−	29.9321i	0.664175	−	1.15038i	0.979508	−	0.201403i	$-0.0645502\pi$
$678$		0			0
$679$	2.09317	−	16.2811i	0.0803284	−	0.624813i
$680$	−1.32877	+	2.30150i	−0.0509562	+	0.0882587i
$681$		0			0
$682$	−17.3965			−0.666147
$683$	−47.0064			−1.79865			−0.899325	−	0.437281i	$-0.855942\pi$
$683$	−47.0064			−1.79865			−0.899325	+	0.437281i	$0.855942\pi$
$684$		0			0
$685$	−1.64703	+	2.85275i	−0.0629299	+	0.108998i
$686$	10.7758	−	26.7007i	0.411424	−	1.01944i
$687$		0			0
$688$	12.6587	−	21.9255i	0.482609	−	0.835904i
$689$	−9.40807	−	3.90124i	−0.358419	−	0.148625i
$690$		0			0
$691$	19.0060			0.723023			0.361512	−	0.932368i	$-0.382261\pi$
$691$	19.0060			0.723023			0.361512	+	0.932368i	$0.382261\pi$
$692$	1.27088	+	2.20123i	0.0483117	+	0.0836784i
$693$		0			0
$694$	15.6556			0.594280
$695$	13.5813	+	23.5234i	0.515166	+	0.892294i
$696$		0			0
$697$	0.696205	+	1.20586i	0.0263706	+	0.0456753i
$698$	−4.88822	−	8.46665i	−0.185022	−	0.320467i
$699$		0			0
$700$	−3.14147	−	2.39541i	−0.118737	−	0.0905382i
$701$	45.4648			1.71718			0.858591	−	0.512662i	$-0.171341\pi$
$701$	45.4648			1.71718			0.858591	+	0.512662i	$0.171341\pi$
$702$		0			0
$703$	−16.6976	−	28.9210i	−0.629760	−	1.09078i
$704$	6.04010	−	10.4618i	0.227645	−	0.394293i
$705$		0			0
$706$	−26.5597	+	46.0027i	−0.999586	+	1.73133i
$707$	2.43672	−	18.9534i	0.0916423	−	0.712815i
$708$		0			0
$709$	4.89390	+	8.47648i	0.183794	+	0.318341i	0.943170	−	0.332312i	$-0.107829\pi$
$709$	4.89390	+	8.47648i	0.183794	+	0.318341i	−0.759375	+	0.650653i	$0.774495\pi$
$710$	2.34351	+	4.05908i	0.0879504	+	0.152334i
$711$		0			0
$712$	43.6854			1.63718
$713$	−9.51099	−	16.4735i	−0.356189	−	0.616938i
$714$		0			0
$715$	8.39768	+	3.48226i	0.314055	+	0.130229i
$716$	3.86393	−	6.69252i	0.144402	−	0.250111i
$717$		0			0
$718$	−14.5259	+	25.1595i	−0.542100	+	0.938945i
$719$	−13.9201	−	24.1104i	−0.519133	−	0.899165i	−0.999753	−	0.0222358i	$-0.992922\pi$
$719$	−13.9201	−	24.1104i	−0.519133	−	0.899165i	0.480620	−	0.876929i	$-0.340412\pi$
$720$		0			0
$721$	3.34890	−	26.0485i	0.124720	−	0.970098i
$722$	20.0243	−	34.6830i	0.745226	−	1.29077i
$723$		0			0
$724$	−2.33766			−0.0868783
$725$	−15.2439	+	26.4033i	−0.566145	+	0.980592i
$726$		0			0
$727$	−14.5650			−0.540186			−0.270093	−	0.962834i	$-0.587055\pi$
$727$	−14.5650			−0.540186			−0.270093	+	0.962834i	$0.587055\pi$
$728$	−11.6843	+	20.3621i	−0.433049	+	0.754670i
$729$		0			0
$730$	10.6152			0.392887
$731$	−2.46185	+	4.26405i	−0.0910547	+	0.157711i
$732$		0			0
$733$	−8.83030	+	15.2945i	−0.326155	+	0.564916i	−0.981745	−	0.190200i	$-0.939086\pi$
$733$	−8.83030	+	15.2945i	−0.326155	+	0.564916i	0.655591	+	0.755116i	$0.272420\pi$
$734$	−24.1451	+	41.8206i	−0.891213	+	1.54363i
$735$		0			0
$736$	−8.35705			−0.308045
$737$	−3.96102	−	6.86069i	−0.145906	−	0.252717i
$738$		0			0
$739$	−4.48279	+	7.76443i	−0.164902	+	0.285619i	−0.936621	−	0.350345i	$-0.886064\pi$
$739$	−4.48279	+	7.76443i	−0.164902	+	0.285619i	0.771718	+	0.635964i	$0.219398\pi$
$740$	−1.24021	+	2.14811i	−0.0455911	+	0.0789661i
$741$		0			0
$742$	−9.23955	−	7.04528i	−0.339195	−	0.258640i
$743$	−13.1839	−	22.8352i	−0.483671	−	0.837743i	0.516153	−	0.856497i	$-0.327364\pi$
$743$	−13.1839	−	22.8352i	−0.483671	−	0.837743i	−0.999824	+	0.0187532i	$0.994030\pi$
$744$		0			0
$745$	17.1716			0.629119
$746$	−2.28309	−	3.95442i	−0.0835898	−	0.144782i
$747$		0			0
$748$	0.399923	−	0.692688i	0.0146226	−	0.0253272i
$749$	−5.37095	+	2.24385i	−0.196250	+	0.0819887i
$750$		0			0
$751$	−20.2876			−0.740305			−0.370152	−	0.928971i	$-0.620695\pi$
$751$	−20.2876			−0.740305			−0.370152	+	0.928971i	$0.620695\pi$
$752$	7.42536	−	12.8611i	0.270775	−	0.468996i
$753$		0			0
$754$	−44.0928	−	18.2839i	−1.60576	−	0.665861i
$755$	18.1801			0.661642
$756$		0			0
$757$	−12.4992	−	21.6493i	−0.454292	−	0.786857i	0.544355	−	0.838855i	$-0.316774\pi$
$757$	−12.4992	−	21.6493i	−0.454292	−	0.786857i	−0.998647	+	0.0519981i	$0.983441\pi$
$758$	7.83957	+	13.5785i	0.284746	+	0.493195i
$759$		0			0
$760$	19.6179			0.711616
$761$	10.0711	+	17.4436i	0.365077	+	0.632332i	0.988789	−	0.149323i	$-0.0477094\pi$
$761$	10.0711	+	17.4436i	0.365077	+	0.632332i	−0.623712	+	0.781655i	$0.714376\pi$
$762$		0			0
$763$	28.9198	+	22.0517i	1.04697	+	0.798326i
$764$	0.105035	+	0.181926i	0.00380003	+	0.00658184i
$765$		0			0
$766$	−2.86786	−	4.96729i	−0.103620	−	0.179475i
$767$	29.3171	−	22.4777i	1.05858	−	0.811622i
$768$		0			0
$769$	−4.33610	−	7.51034i	−0.156364	−	0.270830i	0.777191	−	0.629265i	$-0.216644\pi$
$769$	−4.33610	−	7.51034i	−0.156364	−	0.270830i	−0.933555	+	0.358435i	$0.883311\pi$
$770$	8.24726	+	6.28864i	0.297211	+	0.226627i
$771$		0			0
$772$	0.774139	−	1.34085i	0.0278619	−	0.0482582i
$773$	−2.34567			−0.0843679			−0.0421839	−	0.999110i	$-0.513432\pi$
$773$	−2.34567			−0.0843679			−0.0421839	+	0.999110i	$0.513432\pi$
$774$		0			0
$775$	−9.46596	+	16.3955i	−0.340027	+	0.588945i
$776$	−7.63441	+	13.2232i	−0.274059	+	0.474685i
$777$		0			0
$778$	−17.6198	−	30.5184i	−0.631701	−	1.09414i
$779$	5.13935	−	8.90161i	0.184136	−	0.318933i
$780$		0			0
$781$	2.67713	+	4.63693i	0.0957953	+	0.165922i
$782$	5.06870			0.181256
$783$		0			0
$784$	−22.9261	+	23.2064i	−0.818790	+	0.828798i
$785$	−13.6010			−0.485440
$786$		0			0
$787$	−34.1166			−1.21613			−0.608063	−	0.793889i	$-0.708053\pi$
$787$	−34.1166			−1.21613			−0.608063	+	0.793889i	$0.708053\pi$
$788$	−1.55237	−	2.68878i	−0.0553009	−	0.0957840i
$789$		0			0
$790$	5.62434	+	9.74164i	0.200105	+	0.346592i
$791$	5.42990	−	42.2350i	0.193065	−	1.50170i
$792$		0			0
$793$	27.5386	+	11.4194i	0.977923	+	0.405515i
$794$	−22.6486	−	39.2286i	−0.803770	−	1.39217i
$795$		0			0
$796$	3.13020			0.110947
$797$	−17.0422	+	29.5180i	−0.603666	+	1.04558i	0.388594	+	0.921409i	$0.372961\pi$
$797$	−17.0422	+	29.5180i	−0.603666	+	1.04558i	−0.992261	+	0.124172i	$0.960373\pi$
$798$		0			0
$799$	−1.44407	+	2.50121i	−0.0510876	+	0.0884863i
$800$	4.15875	+	7.20316i	0.147034	+	0.254670i
$801$		0			0
$802$	12.6249			0.445800
$803$	12.1264			0.427932
$804$		0			0
$805$	−1.44606	+	11.2478i	−0.0509670	+	0.396433i
$806$	−27.3801	−	11.3537i	−0.964423	−	0.399917i
$807$		0			0
$808$	−8.88745	+	15.3935i	−0.312659	+	0.541542i
$809$	−13.2603	+	22.9675i	−0.466206	+	0.807493i	−0.999255	−	0.0385914i	$-0.987713\pi$
$809$	−13.2603	+	22.9675i	−0.466206	+	0.807493i	0.533049	+	0.846085i	$0.321046\pi$
$810$		0			0
$811$	52.5463			1.84515			0.922575	−	0.385818i	$-0.126081\pi$
$811$	52.5463			1.84515			0.922575	+	0.385818i	$0.126081\pi$
$812$	−7.47173	−	5.69729i	−0.262206	−	0.199936i
$813$		0			0
$814$	−8.21099	+	14.2219i	−0.287795	+	0.498476i
$815$	−17.1669			−0.601331
$816$		0			0
$817$	36.3465			1.27160
$818$	12.9391			0.452403
$819$		0			0
$820$	−0.763451			−0.0266609
$821$	30.7546			1.07334			0.536671	−	0.843791i	$-0.319682\pi$
$821$	30.7546			1.07334			0.536671	+	0.843791i	$0.319682\pi$
$822$		0			0
$823$	−29.7038			−1.03541			−0.517705	−	0.855559i	$-0.673213\pi$
$823$	−29.7038			−1.03541			−0.517705	+	0.855559i	$0.673213\pi$
$824$	−12.2144	+	21.1560i	−0.425510	+	0.737006i
$825$		0			0
$826$	38.8876	−	16.2463i	1.35307	−	0.565282i
$827$	−14.8351			−0.515866			−0.257933	−	0.966163i	$-0.583041\pi$
$827$	−14.8351			−0.515866			−0.257933	+	0.966163i	$0.583041\pi$
$828$		0			0
$829$	−7.29244	+	12.6309i	−0.253277	+	0.438688i	−0.964426	−	0.264353i	$-0.914842\pi$
$829$	−7.29244	+	12.6309i	−0.253277	+	0.438688i	0.711149	+	0.703041i	$0.248175\pi$
$830$	10.7727	−	18.6588i	0.373925	−	0.647657i
$831$		0			0
$832$	16.3342	−	12.5236i	0.566287	−	0.434177i
$833$	4.45864	−	4.51314i	0.154483	−	0.156371i
$834$		0			0
$835$	−9.26030			−0.320466
$836$	−5.90443			−0.204209
$837$		0			0
$838$	10.1184	+	17.5256i	0.349534	+	0.605411i
$839$	18.4043	−	31.8772i	0.635386	−	1.10052i	−0.351047	−	0.936358i	$-0.614174\pi$
$839$	18.4043	−	31.8772i	0.635386	−	1.10052i	0.986433	−	0.164164i	$-0.0524925\pi$
$840$		0			0
$841$	−21.7564	+	37.6832i	−0.750221	+	1.29942i
$842$	13.8318			0.476674
$843$		0			0
$844$	−0.790442	−	1.36909i	−0.0272082	−	0.0471259i
$845$	10.9443	+	10.9614i	0.376496	+	0.377082i
$846$		0			0
$847$	−13.7215	−	10.4628i	−0.471477	−	0.359508i
$848$	6.58196	+	11.4003i	0.226025	+	0.391488i
$849$		0			0
$850$	−2.52235	−	4.36884i	−0.0865160	−	0.149850i
$851$	−17.9564			−0.615537
$852$		0			0
$853$	−4.10728			−0.140630			−0.0703152	−	0.997525i	$-0.522401\pi$
$853$	−4.10728			−0.140630			−0.0703152	+	0.997525i	$0.522401\pi$
$854$	27.0453	+	20.6224i	0.925471	+	0.705684i
$855$		0			0
$856$	5.41433			0.185058
$857$	−19.1656	−	33.1958i	−0.654684	−	1.13395i	−0.981973	−	0.189022i	$-0.939468\pi$
$857$	−19.1656	−	33.1958i	−0.654684	−	1.13395i	0.327288	−	0.944925i	$-0.393865\pi$
$858$		0			0
$859$	19.7185	−	34.1534i	0.672785	−	1.16530i	−0.304326	−	0.952568i	$-0.598431\pi$
$859$	19.7185	−	34.1534i	0.672785	−	1.16530i	0.977111	−	0.212730i	$-0.0682356\pi$
$860$	−1.34982	−	2.33796i	−0.0460284	−	0.0797236i
$861$		0			0
$862$	6.96300	−	12.0603i	0.237161	−	0.410775i
$863$	−19.3220	+	33.4667i	−0.657728	+	1.13922i	0.323474	+	0.946237i	$0.395149\pi$
$863$	−19.3220	+	33.4667i	−0.657728	+	1.13922i	−0.981202	+	0.192982i	$0.938184\pi$
$864$		0			0
$865$	−7.26180			−0.246909
$866$	−0.134410	+	0.232805i	−0.00456744	+	0.00791104i
$867$		0			0
$868$	−4.63969	−	3.53783i	−0.157481	−	0.120082i
$869$	6.42502	+	11.1285i	0.217954	+	0.377507i
$870$		0			0
$871$	−1.75661	−	13.3831i	−0.0595206	−	0.453468i
$872$	−16.9142	−	29.2962i	−0.572786	−	0.992094i
$873$		0			0
$874$	−18.7084	−	32.4040i	−0.632822	−	1.09608i
$875$	24.9584	−	10.4270i	0.843747	−	0.352498i
$876$		0			0
$877$	29.0371	+	50.2937i	0.980512	+	1.69830i	0.660394	+	0.750919i	$0.270389\pi$
$877$	29.0371	+	50.2937i	0.980512	+	1.69830i	0.320118	+	0.947378i	$0.396277\pi$
$878$	−14.8342			−0.500630
$879$		0			0
$880$	−5.87508	−	10.1759i	−0.198049	−	0.343031i
$881$	10.8118	+	18.7266i	0.364259	+	0.630916i	0.988657	−	0.150191i	$-0.0479888\pi$
$881$	10.8118	+	18.7266i	0.364259	+	0.630916i	−0.624398	+	0.781107i	$0.714655\pi$
$882$		0			0
$883$	−22.7329			−0.765022			−0.382511	−	0.923951i	$-0.624941\pi$
$883$	−22.7329			−0.765022			−0.382511	+	0.923951i	$0.624941\pi$
$884$	1.08151	−	0.829203i	0.0363751	−	0.0278891i
$885$		0			0
$886$	10.7845	−	18.6793i	0.362312	−	0.627543i
$887$	16.3317			0.548365			0.274182	−	0.961678i	$-0.411593\pi$
$887$	16.3317			0.548365			0.274182	+	0.961678i	$0.411593\pi$
$888$		0			0
$889$	−32.9858	−	25.1521i	−1.10631	−	0.843574i
$890$	16.4413	−	28.4772i	0.551115	−	0.954559i
$891$		0			0
$892$	−1.01527	−	1.75850i	−0.0339937	−	0.0588788i
$893$	21.3201			0.713451
$894$		0			0
$895$	11.0392	+	19.1205i	0.369000	+	0.639127i
$896$	33.0093	−	13.7905i	1.10276	−	0.460708i
$897$		0			0
$898$	16.5506	−	28.6665i	0.552301	−	0.956614i
$899$	−22.5140	+	38.9954i	−0.750884	+	1.30057i
$900$		0			0
$901$	−1.28005	−	2.21711i	−0.0426446	−	0.0738627i
$902$	−5.05453			−0.168297
$903$		0			0
$904$	−19.8045	+	34.3023i	−0.658687	+	1.14088i
$905$	3.33933	−	5.78389i	0.111003	−	0.192263i
$906$		0			0
$907$	−7.20480	+	12.4791i	−0.239232	+	0.414361i	−0.960494	−	0.278301i	$-0.910229\pi$
$907$	−7.20480	+	12.4791i	−0.239232	+	0.414361i	0.721262	+	0.692662i	$0.243562\pi$
$908$	−10.0829			−0.334614
$909$		0			0
$910$	8.87600	+	15.2801i	0.294237	+	0.506531i
$911$	1.32236			0.0438118			0.0219059	−	0.999760i	$-0.493027\pi$
$911$	1.32236			0.0438118			0.0219059	+	0.999760i	$0.493027\pi$
$912$		0			0
$913$	12.3063	−	21.3151i	0.407278	−	0.705426i
$914$	−15.0581			−0.498079
$915$		0			0
$916$	4.52757	−	7.84197i	0.149595	−	0.259106i
$917$	3.21774	−	25.0284i	0.106259	−	0.826509i
$918$		0			0
$919$	13.7229	+	23.7688i	0.452677	+	0.784059i	0.998551	−	0.0538078i	$-0.0171358\pi$
$919$	13.7229	+	23.7688i	0.452677	+	0.784059i	−0.545875	+	0.837867i	$0.683802\pi$
$920$	5.27422	−	9.13522i	0.173886	−	0.301179i
$921$		0			0
$922$	1.06835	−	1.85043i	0.0351841	−	0.0609407i
$923$	1.18724	+	9.04520i	0.0390785	+	0.297726i
$924$		0			0
$925$	8.93569	+	15.4771i	0.293804	+	0.508883i
$926$	−49.3940			−1.62319
$927$		0			0
$928$	9.89123	+	17.1321i	0.324696	+	0.562389i
$929$	−14.3194	−	24.8020i	−0.469805	−	0.813727i	0.529599	−	0.848248i	$-0.322343\pi$
$929$	−14.3194	−	24.8020i	−0.469805	−	0.813727i	−0.999404	+	0.0345217i	$0.989009\pi$
$930$		0			0
$931$	−45.3090	−	11.8460i	−1.48494	−	0.388237i
$932$	0.791738	−	1.37133i	0.0259343	−	0.0449194i
$933$		0			0
$934$	22.6370	−	39.2084i	0.740704	−	1.28294i
$935$	1.14258	+	1.97900i	0.0373663	+	0.0647203i
$936$		0			0
$937$	27.9990			0.914688			0.457344	−	0.889290i	$-0.348801\pi$
$937$	27.9990			0.914688			0.457344	+	0.889290i	$0.348801\pi$
$938$	1.96356	−	15.2730i	0.0641126	−	0.498682i
$939$		0			0
$940$	−0.791778	−	1.37140i	−0.0258249	−	0.0447301i
$941$	14.4502	+	25.0284i	0.471062	+	0.815903i	0.999452	−	0.0330983i	$-0.0105375\pi$
$941$	14.4502	+	25.0284i	0.471062	+	0.815903i	−0.528390	+	0.849002i	$0.677204\pi$
$942$		0			0
$943$	−2.76340	−	4.78635i	−0.0899887	−	0.155865i
$944$	−47.7480			−1.55406
$945$		0			0
$946$	−8.93666	−	15.4787i	−0.290556	−	0.503257i
$947$	−30.1235			−0.978881			−0.489441	−	0.872037i	$-0.662799\pi$
$947$	−30.1235			−0.978881			−0.489441	+	0.872037i	$0.662799\pi$
$948$		0			0
$949$	19.0856	+	7.91420i	0.619544	+	0.256906i
$950$	−18.6199	+	32.2506i	−0.604109	+	1.04635i
$951$		0			0
$952$	−5.44501	+	2.27480i	−0.176474	+	0.0737266i
$953$	2.46511	−	4.26969i	0.0798527	−	0.138309i	−0.823334	−	0.567558i	$-0.807888\pi$
$953$	2.46511	−	4.26969i	0.0798527	−	0.138309i	0.903186	+	0.429249i	$0.141222\pi$
$954$		0			0
$955$	−0.600167			−0.0194210
$956$	−9.13757			−0.295530
$957$		0			0
$958$	−7.55721	+	13.0895i	−0.244162	+	0.422902i
$959$	−6.74916	+	2.81964i	−0.217942	+	0.0910509i
$960$		0			0
$961$	1.51957	−	2.63197i	0.0490184	−	0.0849024i
$962$	−22.2049	+	17.0247i	−0.715916	+	0.548899i
$963$		0			0
$964$	−8.65330			−0.278704
$965$	2.21171	+	3.83079i	0.0711974	+	0.123317i
$966$		0			0
$967$	29.1431			0.937180			0.468590	−	0.883416i	$-0.344762\pi$
$967$	29.1431			0.937180			0.468590	+	0.883416i	$0.344762\pi$
$968$	8.02523	+	13.9001i	0.257941	+	0.446767i
$969$		0			0
$970$	5.74654	+	9.95331i	0.184510	+	0.319581i
$971$	7.28843	+	12.6239i	0.233897	+	0.405121i	0.958952	−	0.283570i	$-0.0915188\pi$
$971$	7.28843	+	12.6239i	0.233897	+	0.405121i	−0.725055	+	0.688691i	$0.758186\pi$
$972$		0			0
$973$	−7.69095	+	59.8220i	−0.246561	+	1.91780i
$974$	26.6058			0.852506
$975$		0			0
$976$	−19.2662	−	33.3700i	−0.616696	−	1.06815i
$977$	26.2609	−	45.4852i	0.840161	−	1.45520i	−0.0495974	−	0.998769i	$-0.515794\pi$
$977$	26.2609	−	45.4852i	0.840161	−	1.45520i	0.889758	−	0.456432i	$-0.150873\pi$
$978$		0			0
$979$	18.7819	−	32.5313i	0.600273	−	1.03970i
$980$	0.920681	+	3.35439i	0.0294101	+	0.107152i
$981$		0			0
$982$	19.9943	+	34.6312i	0.638044	+	1.10513i
$983$	−3.01884	−	5.22879i	−0.0962862	−	0.166773i	0.813858	−	0.581063i	$-0.197363\pi$
$983$	−3.01884	−	5.22879i	−0.0962862	−	0.166773i	−0.910145	+	0.414291i	$0.864030\pi$
$984$		0			0
$985$	8.87022			0.282629
$986$	−5.99920	−	10.3909i	−0.191054	−	0.330914i
$987$		0			0
$988$	−9.29289	−	3.85348i	−0.295646	−	0.122596i
$989$	9.77166	−	16.9250i	0.310721	−	0.538184i
$990$		0			0
$991$	−15.6742	+	27.1485i	−0.497907	+	0.862400i	−0.999997	−	0.00241558i	$-0.999231\pi$
$991$	−15.6742	+	27.1485i	−0.497907	+	0.862400i	0.502090	+	0.864815i	$0.332564\pi$
$992$	6.14212	+	10.6385i	0.195012	+	0.337771i
$993$		0			0
$994$	−1.32711	+	10.3226i	−0.0420934	+	0.327412i
$995$	−4.47148	+	7.74483i	−0.141755	+	0.245528i
$996$		0			0
$997$	5.48033			0.173564			0.0867819	−	0.996227i	$-0.472342\pi$
$997$	5.48033			0.173564			0.0867819	+	0.996227i	$0.472342\pi$
$998$	4.20073	−	7.27588i	0.132972	−	0.230314i
$999$		0			0

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	819.2.s.d.289.2		12
3.2	odd	2		91.2.h.b.16.5	yes	12
7.4	even	3		819.2.n.d.172.5		12
13.9	even	3		819.2.n.d.100.5		12
21.2	odd	6		637.2.f.k.393.2		12
21.5	even	6		637.2.f.j.393.2		12
21.11	odd	6		91.2.g.b.81.2	yes	12
21.17	even	6		637.2.g.l.263.2		12
21.20	even	2		637.2.h.l.471.5		12
39.23	odd	6		1183.2.e.g.170.5		12
39.29	odd	6		1183.2.e.h.170.2		12
39.35	odd	6		91.2.g.b.9.2	✓	12
91.74	even	3	inner	819.2.s.d.802.2		12
273.23	odd	6		8281.2.a.ce.1.2		6
273.68	even	6		8281.2.a.ca.1.5		6
273.74	odd	6		91.2.h.b.74.5	yes	12
273.107	odd	6		8281.2.a.bz.1.5		6
273.152	even	6		637.2.f.j.295.2		12
273.179	odd	6		1183.2.e.g.508.5		12
273.191	odd	6		637.2.f.k.295.2		12
273.230	even	6		637.2.g.l.373.2		12
273.257	even	6		8281.2.a.cf.1.2		6
273.263	odd	6		1183.2.e.h.508.2		12
273.269	even	6		637.2.h.l.165.5		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.g.b.9.2	✓	12	39.35	odd	6
91.2.g.b.81.2	yes	12	21.11	odd	6
91.2.h.b.16.5	yes	12	3.2	odd	2
91.2.h.b.74.5	yes	12	273.74	odd	6
637.2.f.j.295.2		12	273.152	even	6
637.2.f.j.393.2		12	21.5	even	6
637.2.f.k.295.2		12	273.191	odd	6
637.2.f.k.393.2		12	21.2	odd	6
637.2.g.l.263.2		12	21.17	even	6
637.2.g.l.373.2		12	273.230	even	6
637.2.h.l.165.5		12	273.269	even	6
637.2.h.l.471.5		12	21.20	even	2
819.2.n.d.100.5		12	13.9	even	3
819.2.n.d.172.5		12	7.4	even	3
819.2.s.d.289.2		12	1.1	even	1	trivial
819.2.s.d.802.2		12	91.74	even	3	inner
1183.2.e.g.170.5		12	39.23	odd	6
1183.2.e.g.508.5		12	273.179	odd	6
1183.2.e.h.170.2		12	39.29	odd	6
1183.2.e.h.508.2		12	273.263	odd	6
8281.2.a.bz.1.5		6	273.107	odd	6
8281.2.a.ca.1.5		6	273.68	even	6
8281.2.a.ce.1.2		6	273.23	odd	6
8281.2.a.cf.1.2		6	273.257	even	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	819.s (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q-1.55469 q^{2} +0.417051 q^{4} +(-0.595756 + 1.03188i) q^{5} +(-2.44127 + 1.01990i) q^{7} +2.46099 q^{8} +O(q^{10})\)	\(q-1.55469 q^{2} +0.417051 q^{4} +(-0.595756 + 1.03188i) q^{5} +(-2.44127 + 1.01990i) q^{7} +2.46099 q^{8} +(0.926214 - 1.60425i) q^{10} +(1.05807 - 1.83263i) q^{11} +(2.86133 - 2.19381i) q^{13} +(3.79541 - 1.58563i) q^{14} -4.66017 q^{16} +0.906303 q^{17} +(-3.34514 - 5.79395i) q^{19} +(-0.248461 + 0.430346i) q^{20} +(-1.64497 + 2.84917i) q^{22} -3.59733 q^{23} +(1.79015 + 3.10063i) q^{25} +(-4.44847 + 3.41068i) q^{26} +(-1.01813 + 0.425352i) q^{28} +(4.25772 + 7.37459i) q^{29} +(2.64390 + 4.57937i) q^{31} +2.32313 q^{32} -1.40902 q^{34} +(0.401982 - 3.12671i) q^{35} +4.99159 q^{37} +(5.20065 + 9.00778i) q^{38} +(-1.46615 + 2.53944i) q^{40} +(0.768181 + 1.33053i) q^{41} +(-2.71636 + 4.70488i) q^{43} +(0.441269 - 0.764301i) q^{44} +5.59272 q^{46} +(-1.59337 + 2.75979i) q^{47} +(4.91959 - 4.97972i) q^{49} +(-2.78312 - 4.82051i) q^{50} +(1.19332 - 0.914930i) q^{52} +(-1.41239 - 2.44632i) q^{53} +(1.26070 + 2.18360i) q^{55} +(-6.00794 + 2.50997i) q^{56} +(-6.61943 - 11.4652i) q^{58} +10.2460 q^{59} +(4.13423 + 7.16069i) q^{61} +(-4.11044 - 7.11949i) q^{62} +5.70861 q^{64} +(0.559090 + 4.25952i) q^{65} +(1.87182 - 3.24208i) q^{67} +0.377975 q^{68} +(-0.624956 + 4.86105i) q^{70} +(-1.26510 + 2.19122i) q^{71} +(2.86522 + 4.96271i) q^{73} -7.76035 q^{74} +(-1.39510 - 2.41638i) q^{76} +(-0.713925 + 5.55307i) q^{77} +(-3.03620 + 5.25885i) q^{79} +(2.77632 - 4.80873i) q^{80} +(-1.19428 - 2.06856i) q^{82} +11.6309 q^{83} +(-0.539935 + 0.935195i) q^{85} +(4.22310 - 7.31462i) q^{86} +(2.60390 - 4.51008i) q^{88} +17.7511 q^{89} +(-4.74780 + 8.27396i) q^{91} -1.50027 q^{92} +(2.47719 - 4.29061i) q^{94} +7.97155 q^{95} +(-3.10217 + 5.37312i) q^{97} +(-7.64842 + 7.74191i) q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 4 q^{2} + 8 q^{4} - q^{5} - 3 q^{7} + 6 q^{8}+O(q^{10}) \) 12 * q + 4 * q^2 + 8 * q^4 - q^5 - 3 * q^7 + 6 * q^8	\( 12 q + 4 q^{2} + 8 q^{4} - q^{5} - 3 q^{7} + 6 q^{8} + 4 q^{10} - 4 q^{11} - 2 q^{13} + 2 q^{14} - 16 q^{16} + 10 q^{17} - q^{19} + q^{20} - 5 q^{22} - 2 q^{23} + 7 q^{25} + 16 q^{26} - q^{28} - 3 q^{29} + 16 q^{31} + 16 q^{32} + 32 q^{34} - 20 q^{35} + 26 q^{37} + 17 q^{38} - 5 q^{40} + 8 q^{41} - 11 q^{43} - 21 q^{44} - 32 q^{46} + q^{47} - 3 q^{49} - 6 q^{50} + 41 q^{52} + 2 q^{53} + 9 q^{55} - 9 q^{56} - 8 q^{58} + 26 q^{59} - 5 q^{61} - 5 q^{62} - 30 q^{64} + 5 q^{65} - 11 q^{67} + 58 q^{68} - 39 q^{70} - 6 q^{71} - 30 q^{73} - 6 q^{74} - 9 q^{76} - 11 q^{77} + 7 q^{79} + 7 q^{80} + q^{82} + 54 q^{83} - q^{85} + 7 q^{86} + 8 q^{89} - 23 q^{91} - 54 q^{92} + 45 q^{94} - 12 q^{95} - 35 q^{97} - 20 q^{98}+O(q^{100}) \) 12 * q + 4 * q^2 + 8 * q^4 - q^5 - 3 * q^7 + 6 * q^8 + 4 * q^10 - 4 * q^11 - 2 * q^13 + 2 * q^14 - 16 * q^16 + 10 * q^17 - q^19 + q^20 - 5 * q^22 - 2 * q^23 + 7 * q^25 + 16 * q^26 - q^28 - 3 * q^29 + 16 * q^31 + 16 * q^32 + 32 * q^34 - 20 * q^35 + 26 * q^37 + 17 * q^38 - 5 * q^40 + 8 * q^41 - 11 * q^43 - 21 * q^44 - 32 * q^46 + q^47 - 3 * q^49 - 6 * q^50 + 41 * q^52 + 2 * q^53 + 9 * q^55 - 9 * q^56 - 8 * q^58 + 26 * q^59 - 5 * q^61 - 5 * q^62 - 30 * q^64 + 5 * q^65 - 11 * q^67 + 58 * q^68 - 39 * q^70 - 6 * q^71 - 30 * q^73 - 6 * q^74 - 9 * q^76 - 11 * q^77 + 7 * q^79 + 7 * q^80 + q^82 + 54 * q^83 - q^85 + 7 * q^86 + 8 * q^89 - 23 * q^91 - 54 * q^92 + 45 * q^94 - 12 * q^95 - 35 * q^97 - 20 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more