LMFDB - Embedded newform 1170.2.bj.d.199.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [1170,2,Mod(199,1170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(1170, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 1]))

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

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

chi := DirichletCharacter("1170.199");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 1170 = 2 \cdot 3^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	1170.bj (of order $6$, 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:	$9.34249703649$
Analytic rank:	$0$
Dimension:	$12$
Relative dimension:	$6$ over $\Q(\zeta_{6})$
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} - 2 x^{11} - 8 x^{10} + 34 x^{9} + 8 x^{8} - 134 x^{7} + 98 x^{6} + 154 x^{5} + 104 x^{4} + \cdots + 2197 $ x^12 - 2x^11 - 8x^10 + 34x^9 + 8x^8 - 134x^7 + 98x^6 + 154x^5 + 104x^4 + 190x^3 - 1196x^2 - 338*x + 2197
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 2^{4} $
Twist minimal:	no (minimal twist has level 390)
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			199.1
Root			$1.40719 + 0.536449i$ of defining polynomial
Character	$\chi$	$=$	1170.199
Dual form			1170.2.bj.d.829.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 - 0.866025i) q^{2} +(-0.500000 - 0.866025i) q^{4} +(-2.03420 - 0.928463i) q^{5} +(1.40247 + 2.42916i) q^{7} -1.00000 q^{8} +O(q^{10})$	\(q+(0.500000 - 0.866025i) q^{2} +(-0.500000 - 0.866025i) q^{4} +(-2.03420 - 0.928463i) q^{5} +(1.40247 + 2.42916i) q^{7} -1.00000 q^{8} +(-1.82117 + 1.29743i) q^{10} +(0.515171 + 0.297434i) q^{11} +(-1.10975 - 3.43052i) q^{13} +2.80495 q^{14} +(-0.500000 + 0.866025i) q^{16} +(-4.98222 + 2.87649i) q^{17} +(-6.59574 + 3.80805i) q^{19} +(0.213026 + 2.22590i) q^{20} +(0.515171 - 0.297434i) q^{22} +(-4.02317 - 2.32278i) q^{23} +(3.27591 + 3.77735i) q^{25} +(-3.52579 - 0.754186i) q^{26} +(1.40247 - 2.42916i) q^{28} +(1.26235 - 2.18645i) q^{29} -6.59309i q^{31} +(0.500000 + 0.866025i) q^{32} +5.75297i q^{34} +(-0.597526 - 6.24353i) q^{35} +(-5.18679 + 8.98379i) q^{37} +7.61611i q^{38} +(2.03420 + 0.928463i) q^{40} +(4.98222 + 2.87649i) q^{41} +(-3.67593 + 2.12230i) q^{43} -0.594869i q^{44} +(-4.02317 + 2.32278i) q^{46} -2.89798 q^{47} +(-0.433868 + 0.751482i) q^{49} +(4.90924 - 0.948346i) q^{50} +(-2.41604 + 2.67633i) q^{52} +13.8960i q^{53} +(-0.771803 - 1.08336i) q^{55} +(-1.40247 - 2.42916i) q^{56} +(-1.26235 - 2.18645i) q^{58} +(-8.40299 + 4.85147i) q^{59} +(-3.41309 - 5.91165i) q^{61} +(-5.70978 - 3.29654i) q^{62} +1.00000 q^{64} +(-0.927657 + 8.00871i) q^{65} +(-3.93121 + 6.80906i) q^{67} +(4.98222 + 2.87649i) q^{68} +(-5.70582 - 2.60429i) q^{70} +(1.11257 - 0.642342i) q^{71} +14.5400 q^{73} +(5.18679 + 8.98379i) q^{74} +(6.59574 + 3.80805i) q^{76} +1.66858i q^{77} -1.83150 q^{79} +(1.82117 - 1.29743i) q^{80} +(4.98222 - 2.87649i) q^{82} -4.19184 q^{83} +(12.8055 - 1.22553i) q^{85} +4.24460i q^{86} +(-0.515171 - 0.297434i) q^{88} +(5.24333 + 3.02724i) q^{89} +(6.77687 - 7.50697i) q^{91} +4.64555i q^{92} +(-1.44899 + 2.50973i) q^{94} +(16.9527 - 1.62243i) q^{95} +(-8.45318 - 14.6413i) q^{97} +(0.433868 + 0.751482i) q^{98} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 12 q + 6 q^{2} - 6 q^{4} + 2 q^{5} - 2 q^{7} - 12 q^{8}+O(q^{10}) $ 12 * q + 6 * q^2 - 6 * q^4 + 2 * q^5 - 2 * q^7 - 12 * q^8	$ 12 q + 6 q^{2} - 6 q^{4} + 2 q^{5} - 2 q^{7} - 12 q^{8} - 2 q^{10} - 6 q^{11} - 8 q^{13} - 4 q^{14} - 6 q^{16} - 18 q^{17} - 6 q^{19} - 4 q^{20} - 6 q^{22} - 6 q^{23} - 10 q^{25} + 2 q^{26} - 2 q^{28} - 14 q^{29} + 6 q^{32} - 26 q^{35} - 12 q^{37} - 2 q^{40} + 18 q^{41} - 36 q^{43} - 6 q^{46} - 16 q^{47} + 8 q^{49} + 10 q^{50} + 10 q^{52} - 28 q^{55} + 2 q^{56} + 14 q^{58} + 36 q^{59} + 10 q^{61} - 6 q^{62} + 12 q^{64} - 6 q^{65} + 4 q^{67} + 18 q^{68} - 4 q^{70} + 12 q^{71} + 28 q^{73} + 12 q^{74} + 6 q^{76} + 4 q^{79} + 2 q^{80} + 18 q^{82} - 72 q^{83} + 18 q^{85} + 6 q^{88} - 18 q^{89} + 2 q^{91} - 8 q^{94} + 42 q^{95} - 48 q^{97} - 8 q^{98}+O(q^{100}) $ 12 * q + 6 * q^2 - 6 * q^4 + 2 * q^5 - 2 * q^7 - 12 * q^8 - 2 * q^10 - 6 * q^11 - 8 * q^13 - 4 * q^14 - 6 * q^16 - 18 * q^17 - 6 * q^19 - 4 * q^20 - 6 * q^22 - 6 * q^23 - 10 * q^25 + 2 * q^26 - 2 * q^28 - 14 * q^29 + 6 * q^32 - 26 * q^35 - 12 * q^37 - 2 * q^40 + 18 * q^41 - 36 * q^43 - 6 * q^46 - 16 * q^47 + 8 * q^49 + 10 * q^50 + 10 * q^52 - 28 * q^55 + 2 * q^56 + 14 * q^58 + 36 * q^59 + 10 * q^61 - 6 * q^62 + 12 * q^64 - 6 * q^65 + 4 * q^67 + 18 * q^68 - 4 * q^70 + 12 * q^71 + 28 * q^73 + 12 * q^74 + 6 * q^76 + 4 * q^79 + 2 * q^80 + 18 * q^82 - 72 * q^83 + 18 * q^85 + 6 * q^88 - 18 * q^89 + 2 * q^91 - 8 * q^94 + 42 * q^95 - 48 * q^97 - 8 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/1170\mathbb{Z}\right)^\times$.

$n$	$911$	$937$	$1081$
$\chi(n)$	$1$	$-1$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$2$	0.500000	−	0.866025i	0.353553	−	0.612372i
$3$		0			0
$3$		0			0
$4$	−0.500000	−	0.866025i	−0.250000	−	0.433013i
$5$	−2.03420	−	0.928463i	−0.909720	−	0.415221i
$5$	−2.03420	−	0.928463i	−0.909720	−	0.415221i
$6$		0			0
$7$	1.40247	+	2.42916i	0.530085	+	0.918135i	0.999384	+	0.0350954i	$0.0111735\pi$
$7$	1.40247	+	2.42916i	0.530085	+	0.918135i	−0.469299	+	0.883040i	$0.655493\pi$
$8$	−1.00000			−0.353553
$9$		0			0
$10$	−1.82117	+	1.29743i	−0.575905	+	0.410285i
$11$	0.515171	+	0.297434i	0.155330	+	0.0896798i	0.575650	−	0.817696i	$-0.304749\pi$
$11$	0.515171	+	0.297434i	0.155330	+	0.0896798i	−0.420320	+	0.907376i	$0.638082\pi$
$12$		0			0
$13$	−1.10975	−	3.43052i	−0.307790	−	0.951454i
$13$	−1.10975	−	3.43052i	−0.307790	−	0.951454i
$14$	2.80495			0.749654
$15$		0			0
$16$	−0.500000	+	0.866025i	−0.125000	+	0.216506i
$17$	−4.98222	+	2.87649i	−1.20837	+	0.697650i	−0.962402	−	0.271629i	$-0.912438\pi$
$17$	−4.98222	+	2.87649i	−1.20837	+	0.697650i	−0.245963	+	0.969279i	$0.579104\pi$
$18$		0			0
$19$	−6.59574	+	3.80805i	−1.51317	+	0.873628i	−0.513286	+	0.858218i	$0.671572\pi$
$19$	−6.59574	+	3.80805i	−1.51317	+	0.873628i	−0.999881	+	0.0154099i	$0.995095\pi$
$20$	0.213026	+	2.22590i	0.0476340	+	0.497726i
$21$		0			0
$22$	0.515171	−	0.297434i	0.109835	−	0.0634132i
$23$	−4.02317	−	2.32278i	−0.838888	−	0.484332i	0.0179978	−	0.999838i	$-0.494271\pi$
$23$	−4.02317	−	2.32278i	−0.838888	−	0.484332i	−0.856886	+	0.515506i	$0.827604\pi$
$24$		0			0
$25$	3.27591	+	3.77735i	0.655182	+	0.755471i
$26$	−3.52579	−	0.754186i	−0.691465	−	0.147908i
$27$		0			0
$28$	1.40247	−	2.42916i	0.265043	−	0.459067i
$29$	1.26235	−	2.18645i	0.234412	−	0.406013i	−0.724690	−	0.689075i	$-0.758017\pi$
$29$	1.26235	−	2.18645i	0.234412	−	0.406013i	0.959102	+	0.283062i	$0.0913502\pi$
$30$		0			0
$31$		−	6.59309i		−	1.18415i	−0.805882	−	0.592077i	$-0.798308\pi$
$31$		−	6.59309i		−	1.18415i	0.805882	−	0.592077i	$-0.201692\pi$
$32$	0.500000	+	0.866025i	0.0883883	+	0.153093i
$33$		0			0
$34$			5.75297i			0.986626i
$35$	−0.597526	−	6.24353i	−0.101000	−	1.05535i
$36$		0			0
$37$	−5.18679	+	8.98379i	−0.852703	+	1.47693i	0.0260561	+	0.999660i	$0.491705\pi$
$37$	−5.18679	+	8.98379i	−0.852703	+	1.47693i	−0.878759	+	0.477265i	$0.841628\pi$
$38$			7.61611i			1.23550i
$39$		0			0
$40$	2.03420	+	0.928463i	0.321635	+	0.146803i
$41$	4.98222	+	2.87649i	0.778092	+	0.449232i	0.835754	−	0.549105i	$-0.185031\pi$
$41$	4.98222	+	2.87649i	0.778092	+	0.449232i	−0.0576618	+	0.998336i	$0.518364\pi$
$42$		0			0
$43$	−3.67593	+	2.12230i	−0.560574	+	0.323648i	−0.753376	−	0.657590i	$-0.771576\pi$
$43$	−3.67593	+	2.12230i	−0.560574	+	0.323648i	0.192802	+	0.981238i	$0.438243\pi$
$44$		−	0.594869i		−	0.0896798i
$45$		0			0
$46$	−4.02317	+	2.32278i	−0.593184	+	0.342475i
$47$	−2.89798			−0.422715			−0.211357	−	0.977409i	$-0.567788\pi$
$47$	−2.89798			−0.422715			−0.211357	+	0.977409i	$0.567788\pi$
$48$		0			0
$49$	−0.433868	+	0.751482i	−0.0619812	+	0.107355i
$50$	4.90924	−	0.948346i	0.694271	−	0.134116i
$51$		0			0
$52$	−2.41604	+	2.67633i	−0.335044	+	0.371140i
$53$			13.8960i			1.90876i	0.298598	+	0.954379i	$0.403481\pi$
$53$			13.8960i			1.90876i	−0.298598	+	0.954379i	$0.596519\pi$
$54$		0			0
$55$	−0.771803	−	1.08336i	−0.104070	−	0.146080i
$56$	−1.40247	−	2.42916i	−0.187414	−	0.324610i
$57$		0			0
$58$	−1.26235	−	2.18645i	−0.165754	−	0.287095i
$59$	−8.40299	+	4.85147i	−1.09398	+	0.631607i	−0.934632	−	0.355616i	$-0.884271\pi$
$59$	−8.40299	+	4.85147i	−1.09398	+	0.631607i	−0.159344	+	0.987223i	$0.550938\pi$
$60$		0			0
$61$	−3.41309	−	5.91165i	−0.437002	−	0.756910i	0.560455	−	0.828185i	$-0.310626\pi$
$61$	−3.41309	−	5.91165i	−0.437002	−	0.756910i	−0.997457	+	0.0712755i	$0.977293\pi$
$62$	−5.70978	−	3.29654i	−0.725143	−	0.418661i
$63$		0			0
$64$	1.00000			0.125000
$65$	−0.927657	+	8.00871i	−0.115062	+	0.993358i
$66$		0			0
$67$	−3.93121	+	6.80906i	−0.480274	+	0.831859i	−0.999744	−	0.0226299i	$-0.992796\pi$
$67$	−3.93121	+	6.80906i	−0.480274	+	0.831859i	0.519470	+	0.854489i	$0.326129\pi$
$68$	4.98222	+	2.87649i	0.604183	+	0.348825i
$69$		0			0
$70$	−5.70582	−	2.60429i	−0.681976	−	0.311272i
$71$	1.11257	−	0.642342i	0.132038	−	0.0762320i	−0.432526	−	0.901621i	$-0.642378\pi$
$71$	1.11257	−	0.642342i	0.132038	−	0.0762320i	0.564564	+	0.825389i	$0.309044\pi$
$72$		0			0
$73$	14.5400			1.70178			0.850892	−	0.525341i	$-0.176062\pi$
$73$	14.5400			1.70178			0.850892	+	0.525341i	$0.176062\pi$
$74$	5.18679	+	8.98379i	0.602952	+	1.04434i
$75$		0			0
$76$	6.59574	+	3.80805i	0.756584	+	0.436814i
$77$			1.66858i			0.190152i
$78$		0			0
$79$	−1.83150			−0.206060			−0.103030	−	0.994678i	$-0.532854\pi$
$79$	−1.83150			−0.206060			−0.103030	+	0.994678i	$0.532854\pi$
$80$	1.82117	−	1.29743i	0.203613	−	0.145058i
$81$		0			0
$82$	4.98222	−	2.87649i	0.550194	−	0.317655i
$83$	−4.19184			−0.460114			−0.230057	−	0.973177i	$-0.573891\pi$
$83$	−4.19184			−0.460114			−0.230057	+	0.973177i	$0.573891\pi$
$84$		0			0
$85$	12.8055	−	1.22553i	1.38895	−	0.132927i
$86$			4.24460i			0.457707i
$87$		0			0
$88$	−0.515171	−	0.297434i	−0.0549175	−	0.0317066i
$89$	5.24333	+	3.02724i	0.555792	+	0.320886i	0.751455	−	0.659785i	$-0.229353\pi$
$89$	5.24333	+	3.02724i	0.555792	+	0.320886i	−0.195663	+	0.980671i	$0.562686\pi$
$90$		0			0
$91$	6.77687	−	7.50697i	0.710409	−	0.786945i
$92$			4.64555i			0.484332i
$93$		0			0
$94$	−1.44899	+	2.50973i	−0.149452	+	0.258859i
$95$	16.9527	−	1.62243i	1.73931	−	0.166457i
$96$		0			0
$97$	−8.45318	−	14.6413i	−0.858291	−	1.48660i	−0.873558	−	0.486719i	$-0.838193\pi$
$97$	−8.45318	−	14.6413i	−0.858291	−	1.48660i	0.0152677	−	0.999883i	$-0.495140\pi$
$98$	0.433868	+	0.751482i	0.0438273	+	0.0759111i
$99$		0			0
$100$	1.63333	−	4.72570i	0.163333	−	0.472570i
$101$	−2.72360	+	4.71741i	−0.271008	+	0.469400i	−0.969120	−	0.246589i	$-0.920690\pi$
$101$	−2.72360	+	4.71741i	−0.271008	+	0.469400i	0.698112	+	0.715988i	$0.254024\pi$
$102$		0			0
$103$		−	13.7529i		−	1.35511i	−0.735471	−	0.677556i	$-0.763039\pi$
$103$		−	13.7529i		−	1.35511i	0.735471	−	0.677556i	$-0.236961\pi$
$104$	1.10975	+	3.43052i	0.108820	+	0.336390i
$105$		0			0
$106$	12.0343	+	6.94798i	1.16887	+	0.674848i
$107$	−3.66407	−	2.11545i	−0.354219	−	0.204509i	0.312323	−	0.949976i	$-0.398893\pi$
$107$	−3.66407	−	2.11545i	−0.354219	−	0.204509i	−0.666542	+	0.745468i	$0.732226\pi$
$108$		0			0
$109$		−	0.447358i		−	0.0428491i	−0.999770	−	0.0214246i	$-0.993180\pi$
$109$		−	0.447358i		−	0.0428491i	0.999770	−	0.0214246i	$-0.00682017\pi$
$110$	−1.32412	+	0.126722i	−0.126250	+	0.0120825i
$111$		0			0
$112$	−2.80495			−0.265043
$113$	−8.11206	+	4.68350i	−0.763119	+	0.440587i	−0.830414	−	0.557146i	$-0.811896\pi$
$113$	−8.11206	+	4.68350i	−0.763119	+	0.440587i	0.0672956	+	0.997733i	$0.478563\pi$
$114$		0			0
$115$	6.02730	+	8.46035i	0.562049	+	0.788932i
$116$	−2.52469			−0.234412
$117$		0			0
$118$			9.70293i			0.893227i
$119$	−13.9749	−	8.06839i	−1.28107	−	0.739628i
$120$		0			0
$121$	−5.32307	−	9.21982i	−0.483915	−	0.838165i
$122$	−6.82619			−0.618014
$123$		0			0
$124$	−5.70978	+	3.29654i	−0.512753	+	0.296038i
$125$	−3.15672	−	10.7254i	−0.282345	−	0.959313i
$126$		0			0
$127$	−5.79190	−	3.34395i	−0.513948	−	0.296728i	0.220507	−	0.975385i	$-0.429229\pi$
$127$	−5.79190	−	3.34395i	−0.513948	−	0.296728i	−0.734455	+	0.678658i	$0.762562\pi$
$128$	0.500000	−	0.866025i	0.0441942	−	0.0765466i
$129$		0			0
$130$	6.47192	+	4.80773i	0.567625	+	0.421666i
$131$	11.6724			1.01982			0.509911	−	0.860227i	$-0.329678\pi$
$131$	11.6724			1.01982			0.509911	+	0.860227i	$0.329678\pi$
$132$		0			0
$133$	−18.5007	−	10.6814i	−1.60422	−	0.926194i
$134$	3.93121	+	6.80906i	0.339605	+	0.588213i
$135$		0			0
$136$	4.98222	−	2.87649i	0.427222	−	0.246657i
$137$	−3.40142	−	5.89144i	−0.290603	−	0.503339i	0.683349	−	0.730092i	$-0.260523\pi$
$137$	−3.40142	−	5.89144i	−0.290603	−	0.503339i	−0.973953	+	0.226752i	$0.927189\pi$
$138$		0			0
$139$	−3.54908	−	6.14719i	−0.301029	−	0.521397i	0.675340	−	0.737506i	$-0.263997\pi$
$139$	−3.54908	−	6.14719i	−0.301029	−	0.521397i	−0.976369	+	0.216109i	$0.930663\pi$
$140$	−5.10829	+	3.63924i	−0.431729	+	0.307572i
$141$		0			0
$142$		−	1.28468i		−	0.107808i
$143$	0.448642	−	2.09738i	0.0375173	−	0.175392i
$144$		0			0
$145$	−4.59790	+	3.27562i	−0.381835	+	0.272026i
$146$	7.27002	−	12.5920i	0.601671	−	1.04213i
$147$		0			0
$148$	10.3736			0.852703
$149$	3.02342	−	1.74557i	0.247688	−	0.143003i	−0.371017	−	0.928626i	$-0.620991\pi$
$149$	3.02342	−	1.74557i	0.247688	−	0.143003i	0.618705	+	0.785623i	$0.287658\pi$
$150$		0			0
$151$			4.54988i			0.370264i	0.982714	+	0.185132i	$0.0592713\pi$
$151$			4.54988i			0.370264i	−0.982714	+	0.185132i	$0.940729\pi$
$152$	6.59574	−	3.80805i	0.534985	−	0.308874i
$153$		0			0
$154$	1.44503	+	0.834288i	0.116444	+	0.0672288i
$155$	−6.12144	+	13.4116i	−0.491686	+	1.07725i
$156$		0			0
$157$		−	11.4957i		−	0.917460i	−0.888576	−	0.458730i	$-0.848305\pi$
$157$		−	11.4957i		−	0.917460i	0.888576	−	0.458730i	$-0.151695\pi$
$158$	−0.915751	+	1.58613i	−0.0728532	+	0.126186i
$159$		0			0
$160$	−0.213026	−	2.22590i	−0.0168411	−	0.175973i
$161$		−	13.0305i		−	1.02695i
$162$		0			0
$163$	6.91443	+	11.9762i	0.541580	+	0.938045i	0.998814	+	0.0486977i	$0.0155071\pi$
$163$	6.91443	+	11.9762i	0.541580	+	0.938045i	−0.457233	+	0.889347i	$0.651160\pi$
$164$		−	5.75297i		−	0.449232i
$165$		0			0
$166$	−2.09592	+	3.63024i	−0.162675	+	0.281761i
$167$	10.7700	−	18.6542i	0.833409	−	1.44351i	−0.0619099	−	0.998082i	$-0.519719\pi$
$167$	10.7700	−	18.6542i	0.833409	−	1.44351i	0.895319	−	0.445425i	$-0.146948\pi$
$168$		0			0
$169$	−10.5369	+	7.61404i	−0.810531	+	0.585696i
$170$	5.34142	−	11.7027i	0.409668	−	0.897554i
$171$		0			0
$172$	3.67593	+	2.12230i	0.280287	+	0.161824i
$173$	11.8342	−	6.83251i	0.899741	−	0.519466i	0.0226249	−	0.999744i	$-0.492798\pi$
$173$	11.8342	−	6.83251i	0.899741	−	0.519466i	0.877116	+	0.480278i	$0.159464\pi$
$174$		0			0
$175$	−4.58140	+	13.2553i	−0.346321	+	1.00201i
$176$	−0.515171	+	0.297434i	−0.0388325	+	0.0224200i
$177$		0			0
$178$	5.24333	−	3.02724i	0.393004	−	0.226901i
$179$	−5.37886	+	9.31647i	−0.402035	+	0.696345i	−0.993971	−	0.109639i	$-0.965030\pi$
$179$	−5.37886	+	9.31647i	−0.402035	+	0.696345i	0.591936	+	0.805985i	$0.298364\pi$
$180$		0			0
$181$	5.86469			0.435919			0.217959	−	0.975958i	$-0.430060\pi$
$181$	5.86469			0.435919			0.217959	+	0.975958i	$0.430060\pi$
$182$	−3.11280	−	9.62243i	−0.230736	−	0.713262i
$183$		0			0
$184$	4.02317	+	2.32278i	0.296592	+	0.171237i
$185$	18.8921	−	13.4590i	1.38897	−	0.989529i
$186$		0			0
$187$	−3.42226			−0.250261
$188$	1.44899	+	2.50973i	0.105679	+	0.183041i
$189$		0			0
$190$	7.07128	−	15.4927i	0.513004	−	1.12396i
$191$	−6.91728	−	11.9811i	−0.500517	−	0.866921i	−1.00000		0.000597179i	$-0.999810\pi$
$191$	−6.91728	−	11.9811i	−0.500517	−	0.866921i	0.499483	−	0.866324i	$-0.333523\pi$
$192$		0			0
$193$	8.50322	−	14.7280i	0.612075	−	1.06014i	−0.378815	−	0.925472i	$-0.623668\pi$
$193$	8.50322	−	14.7280i	0.612075	−	1.06014i	0.990890	−	0.134673i	$-0.0429983\pi$
$194$	−16.9064			−1.21381
$195$		0			0
$196$	0.867736			0.0619812
$197$	−3.16487	+	5.48171i	−0.225487	+	0.390556i	−0.956466	−	0.291845i	$-0.905731\pi$
$197$	−3.16487	+	5.48171i	−0.225487	+	0.390556i	0.730978	+	0.682401i	$0.239064\pi$
$198$		0			0
$199$	8.31782	+	14.4069i	0.589634	+	1.02128i	0.994280	+	0.106803i	$0.0340615\pi$
$199$	8.31782	+	14.4069i	0.589634	+	1.02128i	−0.404646	+	0.914473i	$0.632605\pi$
$200$	−3.27591	−	3.77735i	−0.231642	−	0.267099i
$201$		0			0
$202$	2.72360	+	4.71741i	0.191632	+	0.331916i
$203$	7.08163			0.497033
$204$		0			0
$205$	−7.46410	−	10.4771i	−0.521315	−	0.731755i
$206$	−11.9104	−	6.87645i	−0.829834	−	0.479105i
$207$		0			0
$208$	3.52579	+	0.754186i	0.244470	+	0.0522934i
$209$	−4.53058			−0.313387
$210$		0			0
$211$	−8.27443	+	14.3317i	−0.569635	+	0.986637i	0.426967	+	0.904267i	$0.359582\pi$
$211$	−8.27443	+	14.3317i	−0.569635	+	0.986637i	−0.996602	+	0.0823697i	$0.973751\pi$
$212$	12.0343	−	6.94798i	0.826516	−	0.477190i
$213$		0			0
$214$	−3.66407	+	2.11545i	−0.250471	+	0.144609i
$215$	9.44804	−	0.904208i	0.644351	−	0.0616665i
$216$		0			0
$217$	16.0156	−	9.24663i	1.08721	−	0.627702i
$218$	−0.387423	−	0.223679i	−0.0262396	−	0.0151495i
$219$		0			0
$220$	−0.552314	+	1.21008i	−0.0372370	+	0.0815836i
$221$	15.3969	+	13.8994i	1.03570	+	0.934975i
$222$		0			0
$223$	−8.32779	+	14.4242i	−0.557670	+	0.965913i	0.440020	+	0.897988i	$0.354971\pi$
$223$	−8.32779	+	14.4242i	−0.557670	+	0.965913i	−0.997690	+	0.0679254i	$0.978362\pi$
$224$	−1.40247	+	2.42916i	−0.0937068	+	0.162305i
$225$		0			0
$226$			9.36701i			0.623084i
$227$	1.51105	+	2.61722i	0.100292	+	0.173711i	0.911805	−	0.410624i	$-0.134689\pi$
$227$	1.51105	+	2.61722i	0.100292	+	0.173711i	−0.811513	+	0.584334i	$0.801356\pi$
$228$		0			0
$229$			16.4472i			1.08686i	0.839453	+	0.543432i	$0.182875\pi$
$229$			16.4472i			1.08686i	−0.839453	+	0.543432i	$0.817125\pi$
$230$	10.3405	−	0.989622i	0.681834	−	0.0652537i
$231$		0			0
$232$	−1.26235	+	2.18645i	−0.0828771	+	0.143547i
$233$		−	13.8289i		−	0.905959i	−0.891521	−	0.452980i	$-0.850361\pi$
$233$		−	13.8289i		−	0.905959i	0.891521	−	0.452980i	$-0.149639\pi$
$234$		0			0
$235$	5.89507	+	2.69067i	0.384552	+	0.175520i
$236$	8.40299	+	4.85147i	0.546988	+	0.315804i
$237$		0			0
$238$	−13.9749	+	8.06839i	−0.905856	+	0.522996i
$239$		−	4.60216i		−	0.297689i	−0.988861	−	0.148845i	$-0.952445\pi$
$239$		−	4.60216i		−	0.297689i	0.988861	−	0.148845i	$-0.0475554\pi$
$240$		0			0
$241$	5.38108	−	3.10677i	0.346626	−	0.200125i	−0.316572	−	0.948568i	$-0.602532\pi$
$241$	5.38108	−	3.10677i	0.346626	−	0.200125i	0.663198	+	0.748444i	$0.269199\pi$
$242$	−10.6461			−0.684359
$243$		0			0
$244$	−3.41309	+	5.91165i	−0.218501	+	0.378455i
$245$	1.58030	−	1.12583i	0.100961	−	0.0719267i
$246$		0			0
$247$	20.3832	+	18.4008i	1.29695	+	1.17082i
$248$			6.59309i			0.418661i
$249$		0			0
$250$	−10.8669	−	2.62893i	−0.687281	−	0.166268i
$251$	−8.19386	−	14.1922i	−0.517192	−	0.895802i	−0.999801	−	0.0199663i	$-0.993644\pi$
$251$	−8.19386	−	14.1922i	−0.517192	−	0.895802i	0.482609	−	0.875836i	$-0.339689\pi$
$252$		0			0
$253$	−1.38175	−	2.39326i	−0.0868697	−	0.150463i
$254$	−5.79190	+	3.34395i	−0.363416	+	0.209818i
$255$		0			0
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−7.28269	−	4.20466i	−0.454282	−	0.262280i	0.255355	−	0.966847i	$-0.417808\pi$
$257$	−7.28269	−	4.20466i	−0.454282	−	0.262280i	−0.709637	+	0.704568i	$0.751141\pi$
$258$		0			0
$259$	−29.0974			−1.80802
$260$	7.39958	−	3.20098i	0.458902	−	0.198516i
$261$		0			0
$262$	5.83620	−	10.1086i	0.360562	−	0.624511i
$263$	5.10152	+	2.94536i	0.314573	+	0.181619i	0.648971	−	0.760813i	$-0.275200\pi$
$263$	5.10152	+	2.94536i	0.314573	+	0.181619i	−0.334398	+	0.942432i	$0.608533\pi$
$264$		0			0
$265$	12.9019	−	28.2671i	0.792557	−	1.73644i
$266$	−18.5007	+	10.6814i	−1.13435	+	0.654918i
$267$		0			0
$268$	7.86242			0.480274
$269$	−11.4228	−	19.7848i	−0.696459	−	1.20630i	−0.969686	−	0.244352i	$-0.921425\pi$
$269$	−11.4228	−	19.7848i	−0.696459	−	1.20630i	0.273228	−	0.961949i	$-0.411909\pi$
$270$		0			0
$271$	−23.2565	−	13.4271i	−1.41273	−	0.815639i	−0.417084	−	0.908868i	$-0.636948\pi$
$271$	−23.2565	−	13.4271i	−1.41273	−	0.815639i	−0.995645	+	0.0932285i	$0.970281\pi$
$272$		−	5.75297i		−	0.348825i
$273$		0			0
$274$	−6.80285			−0.410975
$275$	0.564141	+	2.92035i	0.0340190	+	0.176104i
$276$		0			0
$277$	−9.20150	+	5.31249i	−0.552865	+	0.319197i	−0.750277	−	0.661124i	$-0.770080\pi$
$277$	−9.20150	+	5.31249i	−0.552865	+	0.319197i	0.197412	+	0.980321i	$0.436746\pi$
$278$	−7.09816			−0.425719
$279$		0			0
$280$	0.597526	+	6.24353i	0.0357090	+	0.373122i
$281$			28.3732i			1.69260i	0.532705	+	0.846301i	$0.321176\pi$
$281$			28.3732i			1.69260i	−0.532705	+	0.846301i	$0.678824\pi$
$282$		0			0
$283$	4.91005	+	2.83482i	0.291872	+	0.168512i	0.638786	−	0.769385i	$-0.279437\pi$
$283$	4.91005	+	2.83482i	0.291872	+	0.168512i	−0.346914	+	0.937897i	$0.612770\pi$
$284$	−1.11257	−	0.642342i	−0.0660188	−	0.0381160i
$285$		0			0
$286$	−1.59207	−	1.43723i	−0.0941408	−	0.0849850i
$287$			16.1368i			0.952524i
$288$		0			0
$289$	8.04834	−	13.9401i	0.473431	−	0.820007i
$290$	0.537824	+	5.61971i	0.0315821	+	0.330001i
$291$		0			0
$292$	−7.27002	−	12.5920i	−0.425446	−	0.736894i
$293$	−0.829176	−	1.43617i	−0.0484410	−	0.0839022i	0.840788	−	0.541364i	$-0.182092\pi$
$293$	−0.829176	−	1.43617i	−0.0484410	−	0.0839022i	−0.889229	+	0.457462i	$0.848759\pi$
$294$		0			0
$295$	21.5977	−	2.06697i	1.25747	−	0.120344i
$296$	5.18679	−	8.98379i	0.301476	−	0.522172i
$297$		0			0
$298$		−	3.49115i		−	0.202237i
$299$	−3.50361	+	16.3793i	−0.202619	+	0.947237i
$300$		0			0
$301$	−10.3108	−	5.95294i	−0.594304	−	0.343122i
$302$	3.94031	+	2.27494i	0.226740	+	0.130908i
$303$		0			0
$304$		−	7.61611i		−	0.436814i
$305$	1.45415	+	15.1944i	0.0832645	+	0.870029i
$306$		0			0
$307$	−0.384087			−0.0219210			−0.0109605	−	0.999940i	$-0.503489\pi$
$307$	−0.384087			−0.0219210			−0.0109605	+	0.999940i	$0.503489\pi$
$308$	1.44503	−	0.834288i	0.0823382	−	0.0475380i
$309$		0			0
$310$	8.55410	+	12.0071i	0.485840	+	0.681960i
$311$	11.6920			0.662993			0.331497	−	0.943456i	$-0.392446\pi$
$311$	11.6920			0.662993			0.331497	+	0.943456i	$0.392446\pi$
$312$		0			0
$313$		−	10.5788i		−	0.597948i	−0.954261	−	0.298974i	$-0.903356\pi$
$313$		−	10.5788i		−	0.597948i	0.954261	−	0.298974i	$-0.0966444\pi$
$314$	−9.95560	−	5.74787i	−0.561827	−	0.324371i
$315$		0			0
$316$	0.915751	+	1.58613i	0.0515150	+	0.0892266i
$317$	22.1023			1.24139			0.620695	−	0.784052i	$-0.286850\pi$
$317$	22.1023			1.24139			0.620695	+	0.784052i	$0.286850\pi$
$318$		0			0
$319$	1.30065	−	0.750930i	0.0728224	−	0.0420440i
$320$	−2.03420	−	0.928463i	−0.113715	−	0.0519027i
$321$		0			0
$322$	−11.2848	−	6.51527i	−0.628876	−	0.363082i
$323$	21.9076	−	37.9451i	1.21897	−	2.11132i
$324$		0			0
$325$	9.32283	−	15.4300i	0.517138	−	0.855902i
$326$	13.8289			0.765910
$327$		0			0
$328$	−4.98222	−	2.87649i	−0.275097	−	0.158827i
$329$	−4.06435	−	7.03966i	−0.224075	−	0.388109i
$330$		0			0
$331$	−5.28809	+	3.05308i	−0.290660	+	0.167812i	−0.638239	−	0.769838i	$-0.720337\pi$
$331$	−5.28809	+	3.05308i	−0.290660	+	0.167812i	0.347580	+	0.937650i	$0.387004\pi$
$332$	2.09592	+	3.63024i	0.115029	+	0.199235i
$333$		0			0
$334$	−10.7700	−	18.6542i	−0.589309	−	1.02071i
$335$	14.3188	−	10.2010i	0.782321	−	0.557339i
$336$		0			0
$337$			4.29852i			0.234155i	0.993123	+	0.117078i	$0.0373526\pi$
$337$			4.29852i			0.234155i	−0.993123	+	0.117078i	$0.962647\pi$
$338$	1.32550	+	12.9322i	0.0720979	+	0.703422i
$339$		0			0
$340$	−7.46410	−	10.4771i	−0.404798	−	0.568203i
$341$	1.96101	−	3.39657i	0.106195	−	0.183935i
$342$		0			0
$343$	17.2007			0.928750
$344$	3.67593	−	2.12230i	0.198193	−	0.114427i
$345$		0			0
$346$		−	13.6650i		−	0.734636i
$347$	−29.7444	+	17.1730i	−1.59677	+	0.921893i	−0.604660	+	0.796484i	$0.706691\pi$
$347$	−29.7444	+	17.1730i	−1.59677	+	0.921893i	−0.992105	+	0.125409i	$0.959976\pi$
$348$		0			0
$349$	13.8581	+	8.00099i	0.741808	+	0.428283i	0.822726	−	0.568438i	$-0.192452\pi$
$349$	13.8581	+	8.00099i	0.741808	+	0.428283i	−0.0809181	+	0.996721i	$0.525785\pi$
$350$	9.18876	+	10.5953i	0.491160	+	0.566342i
$351$		0			0
$352$			0.594869i			0.0317066i
$353$	9.69607	−	16.7941i	0.516070	−	0.893859i	−0.483756	−	0.875203i	$-0.660728\pi$
$353$	9.69607	−	16.7941i	0.516070	−	0.893859i	0.999826	−	0.0186563i	$-0.00593884\pi$
$354$		0			0
$355$	−2.85958	+	0.273671i	−0.151771	+	0.0145249i
$356$		−	6.05447i		−	0.320886i
$357$		0			0
$358$	5.37886	+	9.31647i	0.284282	+	0.492391i
$359$			15.8342i			0.835699i	0.908516	+	0.417850i	$0.137216\pi$
$359$			15.8342i			0.835699i	−0.908516	+	0.417850i	$0.862784\pi$
$360$		0			0
$361$	19.5026	−	33.7794i	1.02645	−	1.77786i
$362$	2.93234	−	5.07897i	0.154121	−	0.266945i
$363$		0			0
$364$	−9.88966	−	2.11545i	−0.518359	−	0.110880i
$365$	−29.5773	−	13.4999i	−1.54815	−	0.706617i
$366$		0			0
$367$	−13.2440	−	7.64645i	−0.691333	−	0.399141i	0.112778	−	0.993620i	$-0.464025\pi$
$367$	−13.2440	−	7.64645i	−0.691333	−	0.399141i	−0.804111	+	0.594479i	$0.797358\pi$
$368$	4.02317	−	2.32278i	0.209722	−	0.121083i
$369$		0			0
$370$	−2.20984	−	23.0905i	−0.114884	−	1.20042i
$371$	−33.7555	+	19.4887i	−1.75250	+	1.01180i
$372$		0			0
$373$	−18.7508	+	10.8258i	−0.970881	+	0.560538i	−0.899505	−	0.436911i	$-0.856072\pi$
$373$	−18.7508	+	10.8258i	−0.970881	+	0.560538i	−0.0713760	+	0.997449i	$0.522739\pi$
$374$	−1.71113	+	2.96377i	−0.0884805	+	0.153253i
$375$		0			0
$376$	2.89798			0.149452
$377$	−8.90154	−	1.90409i	−0.458453	−	0.0980655i
$378$		0			0
$379$	7.81479	+	4.51187i	0.401419	+	0.231759i	0.687096	−	0.726567i	$-0.258885\pi$
$379$	7.81479	+	4.51187i	0.401419	+	0.231759i	−0.285677	+	0.958326i	$0.592218\pi$
$380$	−9.88140	−	13.8702i	−0.506905	−	0.711528i
$381$		0			0
$382$	−13.8346			−0.707838
$383$	−5.03703	−	8.72439i	−0.257380	−	0.445795i	0.708159	−	0.706053i	$-0.249526\pi$
$383$	−5.03703	−	8.72439i	−0.257380	−	0.445795i	−0.965539	+	0.260257i	$0.916193\pi$
$384$		0			0
$385$	1.54921	−	3.39421i	0.0789551	−	0.172985i
$386$	−8.50322	−	14.7280i	−0.432802	−	0.749636i
$387$		0			0
$388$	−8.45318	+	14.6413i	−0.429145	+	0.743301i
$389$	24.3591			1.23505			0.617527	−	0.786550i	$-0.288135\pi$
$389$	24.3591			1.23505			0.617527	+	0.786550i	$0.288135\pi$
$390$		0			0
$391$	26.7257			1.35158
$392$	0.433868	−	0.751482i	0.0219137	−	0.0379556i
$393$		0			0
$394$	3.16487	+	5.48171i	0.159444	+	0.276165i
$395$	3.72564	+	1.70048i	0.187457	+	0.0855606i
$396$		0			0
$397$	15.0190	+	26.0137i	0.753784	+	1.30559i	0.945977	+	0.324234i	$0.105107\pi$
$397$	15.0190	+	26.0137i	0.753784	+	1.30559i	−0.192193	+	0.981357i	$0.561560\pi$
$398$	16.6356			0.833869
$399$		0			0
$400$	−4.90924	+	0.948346i	−0.245462	+	0.0474173i
$401$	−2.35786	−	1.36131i	−0.117746	−	0.0679807i	0.439970	−	0.898012i	$-0.354989\pi$
$401$	−2.35786	−	1.36131i	−0.117746	−	0.0679807i	−0.557716	+	0.830032i	$0.688322\pi$
$402$		0			0
$403$	−22.6177	+	7.31669i	−1.12667	+	0.364470i
$404$	5.44720			0.271008
$405$		0			0
$406$	3.54082	−	6.13287i	0.175728	−	0.304369i
$407$	−5.34417	+	3.08546i	−0.264901	+	0.152941i
$408$		0			0
$409$	−33.1032	+	19.1121i	−1.63685	+	0.945034i	−0.654938	+	0.755683i	$0.727305\pi$
$409$	−33.1032	+	19.1121i	−1.63685	+	0.945034i	−0.981909	+	0.189352i	$0.939361\pi$
$410$	−12.8055	+	1.22553i	−0.632420	+	0.0605246i
$411$		0			0
$412$	−11.9104	+	6.87645i	−0.586781	+	0.338778i
$413$	−23.5699	−	13.6081i	−1.15980	−	0.669612i
$414$		0			0
$415$	8.52703	+	3.89197i	0.418575	+	0.191049i
$416$	2.41604	−	2.67633i	0.118456	−	0.131218i
$417$		0			0
$418$	−2.26529	+	3.92360i	−0.110799	+	0.191910i
$419$	−14.9365	+	25.8708i	−0.729695	+	1.26387i	0.227317	+	0.973821i	$0.427005\pi$
$419$	−14.9365	+	25.8708i	−0.729695	+	1.26387i	−0.957012	+	0.290048i	$0.906329\pi$
$420$		0			0
$421$			14.2033i			0.692226i	0.938193	+	0.346113i	$0.112499\pi$
$421$			14.2033i			0.692226i	−0.938193	+	0.346113i	$0.887501\pi$
$422$	8.27443	+	14.3317i	0.402793	+	0.697658i
$423$		0			0
$424$		−	13.8960i		−	0.674848i
$425$	−27.1868	−	9.39649i	−1.31875	−	0.455797i
$426$		0			0
$427$	9.57355	−	16.5819i	0.463297	−	0.802453i
$428$			4.23091i			0.204509i
$429$		0			0
$430$	3.94095	−	8.63435i	0.190050	−	0.416385i
$431$	8.09901	+	4.67596i	0.390115	+	0.225233i	0.682210	−	0.731156i	$-0.261019\pi$
$431$	8.09901	+	4.67596i	0.390115	+	0.225233i	−0.292095	+	0.956389i	$0.594352\pi$
$432$		0			0
$433$	−3.42954	+	1.98005i	−0.164813	+	0.0951549i	−0.580138	−	0.814518i	$-0.697001\pi$
$433$	−3.42954	+	1.98005i	−0.164813	+	0.0951549i	0.415325	+	0.909673i	$0.363668\pi$
$434$		−	18.4933i		−	0.887705i
$435$		0			0
$436$	−0.387423	+	0.223679i	−0.0185542	+	0.0107123i
$437$	35.3810			1.69250
$438$		0			0
$439$	−11.2992	+	19.5708i	−0.539281	+	0.934062i	0.459662	+	0.888094i	$0.347971\pi$
$439$	−11.2992	+	19.5708i	−0.539281	+	0.934062i	−0.998943	+	0.0459680i	$0.985363\pi$
$440$	0.771803	+	1.08336i	0.0367943	+	0.0516470i
$441$		0			0
$442$	19.7357	−	6.38437i	0.938730	−	0.303673i
$443$		−	29.0428i		−	1.37987i	−0.723873	−	0.689933i	$-0.757640\pi$
$443$		−	29.0428i		−	1.37987i	0.723873	−	0.689933i	$-0.242360\pi$
$444$		0			0
$445$	−7.85528	−	11.0262i	−0.372376	−	0.522694i
$446$	8.32779	+	14.4242i	0.394332	+	0.683004i
$447$		0			0
$448$	1.40247	+	2.42916i	0.0662607	+	0.114767i
$449$	−23.7886	+	13.7343i	−1.12265	+	0.648164i	−0.942077	−	0.335397i	$-0.891130\pi$
$449$	−23.7886	+	13.7343i	−1.12265	+	0.648164i	−0.180576	+	0.983561i	$0.557796\pi$
$450$		0			0
$451$	1.71113	+	2.96377i	0.0805740	+	0.139558i
$452$	8.11206	+	4.68350i	0.381559	+	0.220293i
$453$		0			0
$454$	3.02210			0.141834
$455$	−20.7554	+	8.97859i	−0.973030	+	0.420923i
$456$		0			0
$457$	2.19087	−	3.79470i	0.102485	−	0.177508i	−0.810223	−	0.586122i	$-0.800654\pi$
$457$	2.19087	−	3.79470i	0.102485	−	0.177508i	0.912708	+	0.408613i	$0.133987\pi$
$458$	14.2437	+	8.22361i	0.665565	+	0.384264i
$459$		0			0
$460$	4.31323	−	9.44997i	0.201105	−	0.440607i
$461$	21.0593	−	12.1586i	0.980829	−	0.566282i	0.0783090	−	0.996929i	$-0.475048\pi$
$461$	21.0593	−	12.1586i	0.980829	−	0.566282i	0.902520	+	0.430647i	$0.141715\pi$
$462$		0			0
$463$	19.0660			0.886071			0.443035	−	0.896504i	$-0.353902\pi$
$463$	19.0660			0.886071			0.443035	+	0.896504i	$0.353902\pi$
$464$	1.26235	+	2.18645i	0.0586030	+	0.101503i
$465$		0			0
$466$	−11.9762	−	6.91443i	−0.554784	−	0.320305i
$467$			10.1176i			0.468188i	0.972214	+	0.234094i	$0.0752123\pi$
$467$			10.1176i			0.468188i	−0.972214	+	0.234094i	$0.924788\pi$
$468$		0			0
$469$	−22.0537			−1.01834
$470$	5.27773	−	3.75995i	0.243443	−	0.173433i
$471$		0			0
$472$	8.40299	−	4.85147i	0.386779	−	0.223307i
$473$	−2.52498			−0.116099
$474$		0			0
$475$	−35.9914	−	12.4396i	−1.65140	−	0.570768i
$476$			16.1368i			0.739628i
$477$		0			0
$478$	−3.98559	−	2.30108i	−0.182297	−	0.105249i
$479$	24.8215	+	14.3307i	1.13412	+	0.654786i	0.944969	−	0.327161i	$-0.106092\pi$
$479$	24.8215	+	14.3307i	1.13412	+	0.654786i	0.189155	+	0.981947i	$0.439425\pi$
$480$		0			0
$481$	36.5751	+	7.82361i	1.66768	+	0.356726i
$482$		−	6.21354i		−	0.283019i
$483$		0			0
$484$	−5.32307	+	9.21982i	−0.241958	+	0.419083i
$485$	3.60149	+	37.6318i	0.163535	+	1.70877i
$486$		0			0
$487$	8.71990	+	15.1033i	0.395136	+	0.684396i	0.993119	−	0.117113i	$-0.0373641\pi$
$487$	8.71990	+	15.1033i	0.395136	+	0.684396i	−0.597982	+	0.801509i	$0.704031\pi$
$488$	3.41309	+	5.91165i	0.154504	+	0.267608i
$489$		0			0
$490$	−0.184850	−	1.93149i	−0.00835067	−	0.0872559i
$491$	11.2233	−	19.4394i	0.506503	−	0.877288i	−0.493469	−	0.869763i	$-0.664271\pi$
$491$	11.2233	−	19.4394i	0.506503	−	0.877288i	0.999972	−	0.00752493i	$-0.00239528\pi$
$492$		0			0
$493$			14.5245i			0.654150i
$494$	26.1272	−	8.45199i	1.17552	−	0.380273i
$495$		0			0
$496$	5.70978	+	3.29654i	0.256377	+	0.148019i
$497$	3.12070	+	1.80174i	0.139983	+	0.0808189i
$498$		0			0
$499$		−	10.4136i		−	0.466177i	−0.972456	−	0.233088i	$-0.925117\pi$
$499$		−	10.4136i		−	0.466177i	0.972456	−	0.233088i	$-0.0748832\pi$
$500$	−7.71015	+	8.09652i	−0.344808	+	0.362087i
$501$		0			0
$502$	−16.3877			−0.731420
$503$	−5.00387	+	2.88899i	−0.223112	+	0.128814i	−0.607390	−	0.794404i	$-0.707784\pi$
$503$	−5.00387	+	2.88899i	−0.223112	+	0.128814i	0.384279	+	0.923217i	$0.374450\pi$
$504$		0			0
$505$	9.92028	−	7.06738i	0.441447	−	0.314494i
$506$	−2.76349			−0.122852
$507$		0			0
$508$			6.68791i			0.296728i
$509$	6.18024	+	3.56816i	0.273934	+	0.158156i	0.630674	−	0.776048i	$-0.282778\pi$
$509$	6.18024	+	3.56816i	0.273934	+	0.158156i	−0.356740	+	0.934204i	$0.616112\pi$
$510$		0			0
$511$	20.3920	+	35.3200i	0.902090	+	1.56247i
$512$	−1.00000			−0.0441942
$513$		0			0
$514$	−7.28269	+	4.20466i	−0.321226	+	0.185460i
$515$	−12.7691	+	27.9761i	−0.562672	+	1.23277i
$516$		0			0
$517$	−1.49296	−	0.861960i	−0.0656603	−	0.0379090i
$518$	−14.5487	+	25.1991i	−0.639232	+	1.10718i
$519$		0			0
$520$	0.927657	−	8.00871i	0.0406805	−	0.351205i
$521$	−1.09782			−0.0480965			−0.0240483	−	0.999711i	$-0.507656\pi$
$521$	−1.09782			−0.0480965			−0.0240483	+	0.999711i	$0.507656\pi$
$522$		0			0
$523$	12.9411	+	7.47153i	0.565873	+	0.326707i	0.755499	−	0.655149i	$-0.227394\pi$
$523$	12.9411	+	7.47153i	0.565873	+	0.326707i	−0.189626	+	0.981856i	$0.560728\pi$
$524$	−5.83620	−	10.1086i	−0.254956	−	0.441596i
$525$		0			0
$526$	5.10152	−	2.94536i	0.222437	−	0.128424i
$527$	18.9649	+	32.8482i	0.826125	+	1.43089i
$528$		0			0
$529$	−0.709414	−	1.22874i	−0.0308441	−	0.0534235i
$530$	−18.0291	−	25.3069i	−0.783134	−	1.09926i
$531$		0			0
$532$			21.3628i			0.926194i
$533$	4.33881	−	20.2838i	0.187935	−	0.878588i
$534$		0			0
$535$	5.48932	+	7.70520i	0.237324	+	0.333125i
$536$	3.93121	−	6.80906i	0.169802	−	0.294106i
$537$		0			0
$538$	−22.8455			−0.984941
$539$	−0.447033	+	0.258095i	−0.0192551	+	0.0111169i
$540$		0			0
$541$			19.3888i			0.833589i	0.909001	+	0.416794i	$0.136846\pi$
$541$			19.3888i			0.833589i	−0.909001	+	0.416794i	$0.863154\pi$
$542$	−23.2565	+	13.4271i	−0.998950	+	0.576744i
$543$		0			0
$544$	−4.98222	−	2.87649i	−0.213611	−	0.123328i
$545$	−0.415355	+	0.910014i	−0.0177919	+	0.0389807i
$546$		0			0
$547$		−	26.1335i		−	1.11739i	−0.829374	−	0.558693i	$-0.811303\pi$
$547$		−	26.1335i		−	1.11739i	0.829374	−	0.558693i	$-0.188697\pi$
$548$	−3.40142	+	5.89144i	−0.145302	+	0.251670i
$549$		0			0
$550$	2.81117	+	0.971616i	0.119869	+	0.0414298i
$551$			19.2283i			0.819155i
$552$		0			0
$553$	−2.56863	−	4.44901i	−0.109229	−	0.189191i
$554$			10.6250i			0.451412i
$555$		0			0
$556$	−3.54908	+	6.14719i	−0.150514	+	0.260699i
$557$	17.6927	−	30.6446i	0.749663	−	1.29846i	−0.198321	−	0.980137i	$-0.563549\pi$
$557$	17.6927	−	30.6446i	0.749663	−	1.29846i	0.947984	−	0.318318i	$-0.103118\pi$
$558$		0			0
$559$	11.3600	+	10.2551i	0.480475	+	0.433745i
$560$	5.70582	+	2.60429i	0.241115	+	0.110051i
$561$		0			0
$562$	24.5719	+	14.1866i	1.03650	+	0.598425i
$563$	−25.8011	+	14.8963i	−1.08739	+	0.627804i	−0.932880	−	0.360187i	$-0.882713\pi$
$563$	−25.8011	+	14.8963i	−1.08739	+	0.627804i	−0.154509	+	0.987991i	$0.549379\pi$
$564$		0			0
$565$	20.8500	−	1.99541i	0.877166	−	0.0839476i
$566$	4.91005	−	2.83482i	0.206385	−	0.119156i
$567$		0			0
$568$	−1.11257	+	0.642342i	−0.0466824	+	0.0269521i
$569$	7.14388	−	12.3736i	0.299487	−	0.518727i	−0.676532	−	0.736414i	$-0.736518\pi$
$569$	7.14388	−	12.3736i	0.299487	−	0.518727i	0.976019	+	0.217687i	$0.0698511\pi$
$570$		0			0
$571$	−37.4439			−1.56698			−0.783490	−	0.621404i	$-0.786562\pi$
$571$	−37.4439			−1.56698			−0.783490	+	0.621404i	$0.786562\pi$
$572$	−2.04071	+	0.660156i	−0.0853263	+	0.0276025i
$573$		0			0
$574$	13.9749	+	8.06839i	0.583300	+	0.336768i
$575$	−4.40559	−	22.8061i	−0.183726	−	0.951082i
$576$		0			0
$577$	47.6052			1.98183			0.990916	−	0.134485i	$-0.0429381\pi$
$577$	47.6052			1.98183			0.990916	+	0.134485i	$0.0429381\pi$
$578$	−8.04834	−	13.9401i	−0.334767	−	0.579833i
$579$		0			0
$580$	5.13572	+	2.34408i	0.213249	+	0.0973328i
$581$	−5.87895	−	10.1826i	−0.243900	−	0.422447i
$582$		0			0
$583$	−4.13314	+	7.15881i	−0.171177	+	0.296487i
$584$	−14.5400			−0.601671
$585$		0			0
$586$	−1.65835			−0.0685059
$587$	−18.8016	+	32.5654i	−0.776027	+	1.34412i	0.158189	+	0.987409i	$0.449435\pi$
$587$	−18.8016	+	32.5654i	−0.776027	+	1.34412i	−0.934216	+	0.356709i	$0.883899\pi$
$588$		0			0
$589$	25.1068	+	43.4863i	1.03451	+	1.79182i
$590$	9.00882	−	19.7377i	0.370887	−	0.812587i
$591$		0			0
$592$	−5.18679	−	8.98379i	−0.213176	−	0.369231i
$593$	−24.0046			−0.985752			−0.492876	−	0.870100i	$-0.664054\pi$
$593$	−24.0046			−0.985752			−0.492876	+	0.870100i	$0.664054\pi$
$594$		0			0
$595$	20.9364	+	29.3878i	0.858310	+	1.20478i
$596$	−3.02342	−	1.74557i	−0.123844	−	0.0715014i
$597$		0			0
$598$	12.4330	+	11.2238i	0.508425	+	0.458977i
$599$	23.7092			0.968731			0.484365	−	0.874866i	$-0.339051\pi$
$599$	23.7092			0.968731			0.484365	+	0.874866i	$0.339051\pi$
$600$		0			0
$601$	0.918249	−	1.59045i	0.0374562	−	0.0648760i	−0.846690	−	0.532087i	$-0.821408\pi$
$601$	0.918249	−	1.59045i	0.0374562	−	0.0648760i	0.884146	+	0.467211i	$0.154741\pi$
$602$	−10.3108	+	5.95294i	−0.420237	+	0.242624i
$603$		0			0
$604$	3.94031	−	2.27494i	0.160329	−	0.0925661i
$605$	2.26790	+	23.6972i	0.0922032	+	0.963428i
$606$		0			0
$607$	−30.2214	+	17.4483i	−1.22665	+	0.708206i	−0.966327	−	0.257316i	$-0.917162\pi$
$607$	−30.2214	+	17.4483i	−1.22665	+	0.708206i	−0.260321	+	0.965522i	$0.583828\pi$
$608$	−6.59574	−	3.80805i	−0.267493	−	0.154437i
$609$		0			0
$610$	13.8858	+	6.33786i	0.562220	+	0.256613i
$611$	3.21604	+	9.94159i	0.130107	+	0.402194i
$612$		0			0
$613$	−4.70575	+	8.15061i	−0.190064	+	0.329200i	−0.945271	−	0.326286i	$-0.894203\pi$
$613$	−4.70575	+	8.15061i	−0.190064	+	0.329200i	0.755207	+	0.655486i	$0.227536\pi$
$614$	−0.192044	+	0.332629i	−0.00775025	+	0.0134238i
$615$		0			0
$616$		−	1.66858i		−	0.0672288i
$617$	−5.47577	−	9.48432i	−0.220446	−	0.381824i	0.734497	−	0.678612i	$-0.237418\pi$
$617$	−5.47577	−	9.48432i	−0.220446	−	0.381824i	−0.954944	+	0.296787i	$0.904085\pi$
$618$		0			0
$619$		−	1.00216i		−	0.0402803i	−0.999797	−	0.0201402i	$-0.993589\pi$
$619$		−	1.00216i		−	0.0402803i	0.999797	−	0.0201402i	$-0.00641125\pi$
$620$	14.6755	−	1.40450i	0.589384	−	0.0564059i
$621$		0			0
$622$	5.84601	−	10.1256i	0.234404	−	0.405999i
$623$			16.9825i			0.680389i
$624$		0			0
$625$	−3.53680	+	24.7486i	−0.141472	+	0.989942i
$626$	−9.16150	−	5.28939i	−0.366167	−	0.211407i
$627$		0			0
$628$	−9.95560	+	5.74787i	−0.397272	+	0.229365i
$629$		−	59.6789i		−	2.37955i
$630$		0			0
$631$	−33.5167	+	19.3509i	−1.33428	+	0.770346i	−0.985952	−	0.167027i	$-0.946583\pi$
$631$	−33.5167	+	19.3509i	−1.33428	+	0.770346i	−0.348327	+	0.937373i	$0.613250\pi$
$632$	1.83150			0.0728532
$633$		0			0
$634$	11.0512	−	19.1412i	0.438898	−	0.760193i
$635$	8.67712	+	12.1798i	0.344341	+	0.483341i
$636$		0			0
$637$	3.05946	+	0.654435i	0.121220	+	0.0259296i
$638$		−	1.50186i		−	0.0594592i
$639$		0			0
$640$	−1.82117	+	1.29743i	−0.0719881	+	0.0512856i
$641$	−4.99961	−	8.65957i	−0.197473	−	0.342033i	0.750236	−	0.661170i	$-0.229940\pi$
$641$	−4.99961	−	8.65957i	−0.197473	−	0.342033i	−0.947708	+	0.319138i	$0.896607\pi$
$642$		0			0
$643$	−3.38728	−	5.86694i	−0.133581	−	0.231369i	0.791473	−	0.611204i	$-0.209314\pi$
$643$	−3.38728	−	5.86694i	−0.133581	−	0.231369i	−0.925055	+	0.379834i	$0.875981\pi$
$644$	−11.2848	+	6.51527i	−0.444683	+	0.256738i
$645$		0			0
$646$	−21.9076	−	37.9451i	−0.861944	−	1.49293i
$647$	14.8850	+	8.59384i	0.585188	+	0.337859i	0.763193	−	0.646171i	$-0.223631\pi$
$647$	14.8850	+	8.59384i	0.585188	+	0.337859i	−0.178004	+	0.984030i	$0.556964\pi$
$648$		0			0
$649$	−5.77197			−0.226570
$650$	−8.70135	−	15.7888i	−0.341295	−	0.619288i
$651$		0			0
$652$	6.91443	−	11.9762i	0.270790	−	0.469022i
$653$	−21.5401	−	12.4362i	−0.842930	−	0.486666i	0.0153292	−	0.999883i	$-0.495120\pi$
$653$	−21.5401	−	12.4362i	−0.842930	−	0.486666i	−0.858259	+	0.513217i	$0.828454\pi$
$654$		0			0
$655$	−23.7440	−	10.8374i	−0.927753	−	0.423452i
$656$	−4.98222	+	2.87649i	−0.194523	+	0.112308i
$657$		0			0
$658$	−8.12870			−0.316890
$659$	4.12151	+	7.13867i	0.160551	+	0.278083i	0.935067	−	0.354472i	$-0.115339\pi$
$659$	4.12151	+	7.13867i	0.160551	+	0.278083i	−0.774515	+	0.632555i	$0.782006\pi$
$660$		0			0
$661$	22.3962	+	12.9305i	0.871112	+	0.502937i	0.867718	−	0.497057i	$-0.165586\pi$
$661$	22.3962	+	12.9305i	0.871112	+	0.502937i	0.00339467	+	0.999994i	$0.498919\pi$
$662$			6.10616i			0.237323i
$663$		0			0
$664$	4.19184			0.162675
$665$	27.7168	+	38.9053i	1.07481	+	1.50868i
$666$		0			0
$667$	−10.1573	+	5.86430i	−0.393291	+	0.227067i
$668$	−21.5400			−0.833409
$669$		0			0
$670$	−1.67490	−	17.5009i	−0.0647069	−	0.676121i
$671$		−	4.06069i		−	0.156761i
$672$		0			0
$673$	−5.99820	−	3.46306i	−0.231213	−	0.133491i	0.379918	−	0.925020i	$-0.375952\pi$
$673$	−5.99820	−	3.46306i	−0.231213	−	0.133491i	−0.611132	+	0.791529i	$0.709285\pi$
$674$	3.72263	+	2.14926i	0.143390	+	0.0827864i
$675$		0			0
$676$	11.8624	+	5.31820i	0.456246	+	0.204546i
$677$		−	4.72639i		−	0.181650i	−0.995867	−	0.0908250i	$-0.971050\pi$
$677$		−	4.72639i		−	0.181650i	0.995867	−	0.0908250i	$-0.0289504\pi$
$678$		0			0
$679$	23.7107	−	41.0682i	0.909935	−	1.57605i
$680$	−12.8055	+	1.22553i	−0.491069	+	0.0469969i
$681$		0			0
$682$	−1.96101	−	3.39657i	−0.0750910	−	0.130061i
$683$	9.78995	+	16.9567i	0.374602	+	0.648830i	0.990267	−	0.139178i	$-0.0444460\pi$
$683$	9.78995	+	16.9567i	0.374602	+	0.648830i	−0.615665	+	0.788008i	$0.711113\pi$
$684$		0			0
$685$	1.44918	+	15.1424i	0.0553703	+	0.578563i
$686$	8.60034	−	14.8962i	0.328363	−	0.568741i
$687$		0			0
$688$		−	4.24460i		−	0.161824i
$689$	47.6704	−	15.4211i	1.81610	−	0.587496i
$690$		0			0
$691$	−10.7079	−	6.18224i	−0.407350	−	0.235183i	0.282301	−	0.959326i	$-0.408902\pi$
$691$	−10.7079	−	6.18224i	−0.407350	−	0.235183i	−0.689650	+	0.724143i	$0.742236\pi$
$692$	−11.8342	−	6.83251i	−0.449871	−	0.259733i
$693$		0			0
$694$			34.3459i			1.30375i
$695$	1.51209	+	15.7998i	0.0573568	+	0.599320i
$696$		0			0
$697$	−33.0967			−1.25363
$698$	13.8581	−	8.00099i	0.524538	−	0.302842i
$699$		0			0
$700$	13.7702	−	2.66006i	0.520463	−	0.100541i
$701$	−43.7550			−1.65260			−0.826302	−	0.563227i	$-0.809559\pi$
$701$	−43.7550			−1.65260			−0.826302	+	0.563227i	$0.809559\pi$
$702$		0			0
$703$		−	79.0063i		−	2.97978i
$704$	0.515171	+	0.297434i	0.0194163	+	0.0112100i
$705$		0			0
$706$	−9.69607	−	16.7941i	−0.364916	−	0.632054i
$707$	−15.2791			−0.574630
$708$		0			0
$709$	16.4104	−	9.47457i	0.616307	−	0.355825i	−0.159123	−	0.987259i	$-0.550867\pi$
$709$	16.4104	−	9.47457i	0.616307	−	0.355825i	0.775430	+	0.631434i	$0.217533\pi$
$710$	−1.19278	+	2.61330i	−0.0447643	+	0.0980754i
$711$		0			0
$712$	−5.24333	−	3.02724i	−0.196502	−	0.113451i
$713$	−15.3143	+	26.5251i	−0.573524	+	0.993372i
$714$		0			0
$715$	−2.85997	+	3.84994i	−0.106957	+	0.143980i
$716$	10.7577			0.402035
$717$		0			0
$718$	13.7129	+	7.91712i	0.511759	+	0.295464i
$719$	23.5155	+	40.7301i	0.876981	+	1.51898i	0.854637	+	0.519225i	$0.173779\pi$
$719$	23.5155	+	40.7301i	0.876981	+	1.51898i	0.0223436	+	0.999750i	$0.492887\pi$
$720$		0			0
$721$	33.4079	−	19.2881i	1.24418	−	0.718326i
$722$	−19.5026	−	33.7794i	−0.725810	−	1.25714i
$723$		0			0
$724$	−2.93234	−	5.07897i	−0.108980	−	0.188758i
$725$	12.3943	−	2.39428i	0.460314	−	0.0889214i
$726$		0			0
$727$			4.10440i			0.152224i	0.997099	+	0.0761119i	$0.0242506\pi$
$727$			4.10440i			0.152224i	−0.997099	+	0.0761119i	$0.975749\pi$
$728$	−6.77687	+	7.50697i	−0.251167	+	0.278227i
$729$		0			0
$730$	−26.4799	+	18.8647i	−0.980065	+	0.698216i
$731$	12.2095	−	21.1475i	0.451586	−	0.782169i
$732$		0			0
$733$	−24.2968			−0.897421			−0.448711	−	0.893677i	$-0.648117\pi$
$733$	−24.2968			−0.897421			−0.448711	+	0.893677i	$0.648117\pi$
$734$	−13.2440	+	7.64645i	−0.488847	+	0.282236i
$735$		0			0
$736$		−	4.64555i		−	0.171237i
$737$	−4.05050	+	2.33855i	−0.149202	+	0.0861418i
$738$		0			0
$739$	−35.0414	−	20.2311i	−1.28902	−	0.744215i	−0.310539	−	0.950561i	$-0.600509\pi$
$739$	−35.0414	−	20.2311i	−1.28902	−	0.744215i	−0.978479	+	0.206346i	$0.933843\pi$
$740$	−21.1019	−	9.63149i	−0.775722	−	0.354061i
$741$		0			0
$742$			38.9775i			1.43091i
$743$	15.7497	−	27.2794i	0.577802	−	1.00078i	−0.417929	−	0.908480i	$-0.637244\pi$
$743$	15.7497	−	27.2794i	0.577802	−	1.00078i	0.995731	−	0.0923027i	$-0.0294227\pi$
$744$		0			0
$745$	−7.77093	+	0.743703i	−0.284705	+	0.0272472i
$746$			21.6516i			0.792721i
$747$		0			0
$748$	1.71113	+	2.96377i	0.0625651	+	0.108366i
$749$		−	11.8675i		−	0.433628i
$750$		0			0
$751$	−8.37551	+	14.5068i	−0.305627	+	0.529361i	−0.977401	−	0.211395i	$-0.932199\pi$
$751$	−8.37551	+	14.5068i	−0.305627	+	0.529361i	0.671774	+	0.740756i	$0.265533\pi$
$752$	1.44899	−	2.50973i	0.0528393	−	0.0915204i
$753$		0			0
$754$	−6.09976	+	6.75692i	−0.222140	+	0.246072i
$755$	4.22440	−	9.25536i	0.153742	−	0.336837i
$756$		0			0
$757$	−23.1908	−	13.3892i	−0.842885	−	0.486640i	0.0153589	−	0.999882i	$-0.495111\pi$
$757$	−23.1908	−	13.3892i	−0.842885	−	0.486640i	−0.858244	+	0.513242i	$0.828444\pi$
$758$	7.81479	−	4.51187i	0.283846	−	0.163879i
$759$		0			0
$760$	−16.9527	+	1.62243i	−0.614938	+	0.0588516i
$761$	0.217029	−	0.125302i	0.00786729	−	0.00454218i	−0.496061	−	0.868288i	$-0.665221\pi$
$761$	0.217029	−	0.125302i	0.00786729	−	0.00454218i	0.503928	+	0.863745i	$0.331888\pi$
$762$		0			0
$763$	1.08670	−	0.627408i	0.0393413	−	0.0227137i
$764$	−6.91728	+	11.9811i	−0.250259	+	0.433461i
$765$		0			0
$766$	−10.0741			−0.363990
$767$	25.9683	+	23.4427i	0.937660	+	0.846466i
$768$		0			0
$769$	17.1777	+	9.91755i	0.619444	+	0.357636i	0.776652	−	0.629929i	$-0.216916\pi$
$769$	17.1777	+	9.91755i	0.619444	+	0.357636i	−0.157209	+	0.987565i	$0.550250\pi$
$770$	−2.16487	−	3.03876i	−0.0780164	−	0.109509i
$771$		0			0
$772$	−17.0064			−0.612075
$773$	18.3185	+	31.7285i	0.658869	+	1.14120i	0.980909	+	0.194469i	$0.0622984\pi$
$773$	18.3185	+	31.7285i	0.658869	+	1.14120i	−0.322039	+	0.946726i	$0.604368\pi$
$774$		0			0
$775$	24.9044	−	21.5984i	0.894593	−	0.775836i
$776$	8.45318	+	14.6413i	0.303452	+	0.525594i
$777$		0			0
$778$	12.1795	−	21.0956i	0.436658	−	0.756313i
$779$	−43.8152			−1.56984
$780$		0			0
$781$	0.764218			0.0273459
$782$	13.3629	−	23.1452i	0.477855	−	0.827669i
$783$		0			0
$784$	−0.433868	−	0.751482i	−0.0154953	−	0.0268386i
$785$	−10.6734	+	23.3846i	−0.380949	+	0.834632i
$786$		0			0
$787$	17.9505	+	31.0911i	0.639865	+	1.10828i	0.985462	+	0.169896i	$0.0543432\pi$
$787$	17.9505	+	31.0911i	0.639865	+	1.10828i	−0.345597	+	0.938383i	$0.612323\pi$
$788$	6.32974			0.225487
$789$		0			0
$790$	3.33548	−	2.37625i	0.118671	−	0.0845433i
$791$	−22.7539	−	13.1370i	−0.809036	−	0.467097i
$792$		0			0
$793$	−16.4923	+	18.2691i	−0.585660	+	0.648756i
$794$	30.0381			1.06601
$795$		0			0
$796$	8.31782	−	14.4069i	0.294817	−	0.510638i
$797$	−4.30187	+	2.48369i	−0.152380	+	0.0879767i	−0.574251	−	0.818679i	$-0.694707\pi$
$797$	−4.30187	+	2.48369i	−0.152380	+	0.0879767i	0.421871	+	0.906656i	$0.361373\pi$
$798$		0			0
$799$	14.4384	−	8.33601i	0.510794	−	0.294907i
$800$	−1.63333	+	4.72570i	−0.0577469	+	0.167079i
$801$		0			0
$802$	−2.35786	+	1.36131i	−0.0832590	+	0.0480696i
$803$	7.49061	+	4.32471i	0.264338	+	0.152616i
$804$		0			0
$805$	−12.0984	+	26.5067i	−0.426412	+	0.934238i
$806$	−4.97241	+	23.2458i	−0.175146	+	0.818800i
$807$		0			0
$808$	2.72360	−	4.71741i	0.0958159	−	0.165958i
$809$	−20.1296	+	34.8656i	−0.707720	+	1.22581i	0.257980	+	0.966150i	$0.416943\pi$
$809$	−20.1296	+	34.8656i	−0.707720	+	1.22581i	−0.965701	+	0.259658i	$0.916390\pi$
$810$		0			0
$811$			7.62969i			0.267914i	0.990987	+	0.133957i	$0.0427685\pi$
$811$			7.62969i			0.267914i	−0.990987	+	0.133957i	$0.957232\pi$
$812$	−3.54082	−	6.13287i	−0.124258	−	0.215222i
$813$		0			0
$814$			6.17092i			0.216291i
$815$	−2.94590	−	30.7816i	−0.103190	−	1.07823i
$816$		0			0
$817$	16.1637	−	27.9963i	0.565495	−	0.979466i
$818$			38.2243i			1.33648i
$819$		0			0
$820$	−5.34142	+	11.7027i	−0.186531	+	0.408675i
$821$	20.8682	+	12.0483i	0.728306	+	0.420487i	0.817802	−	0.575500i	$-0.195192\pi$
$821$	20.8682	+	12.0483i	0.728306	+	0.420487i	−0.0894964	+	0.995987i	$0.528526\pi$
$822$		0			0
$823$	18.6227	−	10.7518i	0.649145	−	0.374784i	−0.138984	−	0.990295i	$-0.544384\pi$
$823$	18.6227	−	10.7518i	0.649145	−	0.374784i	0.788129	+	0.615511i	$0.211050\pi$
$824$			13.7529i			0.479105i
$825$		0			0
$826$	−23.5699	+	13.6081i	−0.820103	+	0.473487i
$827$	38.8887			1.35229			0.676147	−	0.736767i	$-0.263648\pi$
$827$	38.8887			1.35229			0.676147	+	0.736767i	$0.263648\pi$
$828$		0			0
$829$	12.2944	−	21.2945i	0.427001	−	0.739587i	−0.569604	−	0.821919i	$-0.692903\pi$
$829$	12.2944	−	21.2945i	0.427001	−	0.739587i	0.996605	+	0.0823320i	$0.0262368\pi$
$830$	7.63406	−	5.43864i	0.264982	−	0.188778i
$831$		0			0
$832$	−1.10975	−	3.43052i	−0.0384737	−	0.118932i
$833$		−	4.99206i		−	0.172965i
$834$		0			0
$835$	−39.2281	+	27.9468i	−1.35754	+	0.967139i
$836$	2.26529	+	3.92360i	0.0783468	+	0.135701i
$837$		0			0
$838$	14.9365	+	25.8708i	0.515972	+	0.893690i
$839$	−45.1686	+	26.0781i	−1.55939	+	0.900316i	−0.562079	+	0.827084i	$0.689998\pi$
$839$	−45.1686	+	26.0781i	−1.55939	+	0.900316i	−0.997315	+	0.0732324i	$0.976669\pi$
$840$		0			0
$841$	11.3130	+	19.5946i	0.390102	+	0.675677i
$842$	12.3004	+	7.10165i	0.423900	+	0.244739i
$843$		0			0
$844$	16.5489			0.569635
$845$	28.5035	−	5.70533i	0.980550	−	0.196269i
$846$		0			0
$847$	14.9309	−	25.8611i	0.513033	−	0.888599i
$848$	−12.0343	−	6.94798i	−0.413258	−	0.238595i
$849$		0			0
$850$	−21.7310	+	18.8462i	−0.745367	+	0.646420i
$851$	41.7347	−	24.0955i	1.43065	−	0.825984i
$852$		0			0
$853$	2.06762			0.0707938			0.0353969	−	0.999373i	$-0.488730\pi$
$853$	2.06762			0.0707938			0.0353969	+	0.999373i	$0.488730\pi$
$854$	−9.57355	−	16.5819i	−0.327600	−	0.567420i
$855$		0			0
$856$	3.66407	+	2.11545i	0.125235	+	0.0723047i
$857$		−	20.1793i		−	0.689310i	−0.938729	−	0.344655i	$-0.887996\pi$
$857$		−	20.1793i		−	0.689310i	0.938729	−	0.344655i	$-0.112004\pi$
$858$		0			0
$859$	−34.4160			−1.17426			−0.587129	−	0.809493i	$-0.699742\pi$
$859$	−34.4160			−1.17426			−0.587129	+	0.809493i	$0.699742\pi$
$860$	−5.50709	−	7.73014i	−0.187790	−	0.263596i
$861$		0			0
$862$	8.09901	−	4.67596i	0.275853	−	0.159264i
$863$	−1.02382			−0.0348514			−0.0174257	−	0.999848i	$-0.505547\pi$
$863$	−1.02382			−0.0348514			−0.0174257	+	0.999848i	$0.505547\pi$
$864$		0			0
$865$	−30.4169	+	2.91100i	−1.03421	+	0.0989769i
$866$			3.96009i			0.134569i
$867$		0			0
$868$	−16.0156	−	9.24663i	−0.543606	−	0.313851i
$869$	−0.943538	−	0.544752i	−0.0320073	−	0.0184794i
$870$		0			0
$871$	27.7213	+	5.92973i	0.939299	+	0.200921i
$872$			0.447358i			0.0151495i
$873$		0			0
$874$	17.6905	−	30.6409i	0.598391	−	1.03644i
$875$	21.6266	−	22.7103i	0.731112	−	0.767749i
$876$		0			0
$877$	−7.46097	−	12.9228i	−0.251939	−	0.436371i	0.712121	−	0.702057i	$-0.247735\pi$
$877$	−7.46097	−	12.9228i	−0.251939	−	0.436371i	−0.964060	+	0.265686i	$0.914402\pi$
$878$	11.2992	+	19.5708i	0.381329	+	0.660481i
$879$		0			0
$880$	1.32412	−	0.126722i	0.0446360	−	0.00427181i
$881$	−21.5282	+	37.2879i	−0.725303	+	1.25626i	0.233546	+	0.972346i	$0.424967\pi$
$881$	−21.5282	+	37.2879i	−0.725303	+	1.25626i	−0.958849	+	0.283916i	$0.908366\pi$
$882$		0			0
$883$			30.1817i			1.01569i	0.861447	+	0.507847i	$0.169559\pi$
$883$			30.1817i			1.01569i	−0.861447	+	0.507847i	$0.830441\pi$
$884$	4.33881	−	20.2838i	0.145930	−	0.682217i
$885$		0			0
$886$	−25.1518	−	14.5214i	−0.844992	−	0.487856i
$887$	−18.7593	−	10.8307i	−0.629877	−	0.363660i	0.150827	−	0.988560i	$-0.451806\pi$
$887$	−18.7593	−	10.8307i	−0.629877	−	0.363660i	−0.780705	+	0.624900i	$0.785140\pi$
$888$		0			0
$889$		−	18.7592i		−	0.629164i
$890$	−13.4766	+	1.28976i	−0.451738	+	0.0432328i
$891$		0			0
$892$	16.6556			0.557670
$893$	19.1144	−	11.0357i	0.639638	−	0.369295i
$894$		0			0
$895$	19.5917	−	13.9574i	0.654877	−	0.466546i
$896$	2.80495			0.0937068
$897$		0			0
$898$			27.4687i			0.916642i
$899$	−14.4154	−	8.32276i	−0.480782	−	0.277580i
$900$		0			0
$901$	−39.9715	−	69.2328i	−1.33165	−	2.30648i
$902$	3.42226			0.113949
$903$		0			0
$904$	8.11206	−	4.68350i	0.269803	−	0.155771i
$905$	−11.9299	−	5.44515i	−0.396564	−	0.181003i
$906$		0			0
$907$	−2.42051	−	1.39748i	−0.0803717	−	0.0464026i	0.459276	−	0.888294i	$-0.348109\pi$
$907$	−2.42051	−	1.39748i	−0.0803717	−	0.0464026i	−0.539647	+	0.841891i	$0.681442\pi$
$908$	1.51105	−	2.61722i	0.0501460	−	0.0868554i
$909$		0			0
$910$	−2.60203	+	22.4640i	−0.0862565	+	0.744675i
$911$	−24.2193			−0.802422			−0.401211	−	0.915986i	$-0.631411\pi$
$911$	−24.2193			−0.802422			−0.401211	+	0.915986i	$0.631411\pi$
$912$		0			0
$913$	−2.15952	−	1.24680i	−0.0714695	−	0.0412630i
$914$	−2.19087	−	3.79470i	−0.0724675	−	0.125517i
$915$		0			0
$916$	14.2437	−	8.22361i	0.470626	−	0.271716i
$917$	16.3702	+	28.3541i	0.540593	+	0.936334i
$918$		0			0
$919$	−6.54988	−	11.3447i	−0.216061	−	0.374228i	0.737539	−	0.675304i	$-0.235988\pi$
$919$	−6.54988	−	11.3447i	−0.216061	−	0.374228i	−0.953600	+	0.301076i	$0.902654\pi$
$920$	−6.02730	−	8.46035i	−0.198714	−	0.278929i
$921$		0			0
$922$		−	24.3172i		−	0.800844i
$923$	−3.43824	−	3.10385i	−0.113171	−	0.102164i
$924$		0			0
$925$	−50.9264	+	9.83775i	−1.67445	+	0.323463i
$926$	9.53298	−	16.5116i	0.313273	−	0.542605i
$927$		0			0
$928$	2.52469			0.0828771
$929$	−24.1564	+	13.9467i	−0.792544	+	0.457576i	−0.840858	−	0.541257i	$-0.817949\pi$
$929$	−24.1564	+	13.9467i	−0.792544	+	0.457576i	0.0483131	+	0.998832i	$0.484615\pi$
$930$		0			0
$931$		−	6.60877i		−	0.216594i
$932$	−11.9762	+	6.91443i	−0.392292	+	0.226490i
$933$		0			0
$934$	8.76211	+	5.05881i	0.286705	+	0.165529i
$935$	6.96155	+	3.17744i	0.227667	+	0.103914i
$936$		0			0
$937$			49.9741i			1.63258i	0.577640	+	0.816292i	$0.303974\pi$
$937$			49.9741i			1.63258i	−0.577640	+	0.816292i	$0.696026\pi$
$938$	−11.0268	+	19.0991i	−0.360039	+	0.623606i
$939$		0			0
$940$	−0.617345	−	6.45062i	−0.0201356	−	0.210396i
$941$			9.56099i			0.311680i	0.987782	+	0.155840i	$0.0498083\pi$
$941$			9.56099i			0.311680i	−0.987782	+	0.155840i	$0.950192\pi$
$942$		0			0
$943$	−13.3629	−	23.1452i	−0.435155	−	0.753710i
$944$		−	9.70293i		−	0.315804i
$945$		0			0
$946$	−1.26249	+	2.18670i	−0.0410471	+	0.0710956i
$947$	−22.0817	+	38.2466i	−0.717558	+	1.24285i	0.244406	+	0.969673i	$0.421407\pi$
$947$	−22.0817	+	38.2466i	−0.717558	+	1.24285i	−0.961964	+	0.273175i	$0.911926\pi$
$948$		0			0
$949$	−16.1358	−	49.8799i	−0.523791	−	1.61917i
$950$	−28.7687	+	24.9497i	−0.933381	+	0.809475i
$951$		0			0
$952$	13.9749	+	8.06839i	0.452928	+	0.261498i
$953$	−12.8310	+	7.40798i	−0.415637	+	0.239968i	−0.693209	−	0.720737i	$-0.743804\pi$
$953$	−12.8310	+	7.40798i	−0.415637	+	0.239968i	0.277572	+	0.960705i	$0.410470\pi$
$954$		0			0
$955$	2.94712	+	30.7943i	0.0953664	+	0.996481i
$956$	−3.98559	+	2.30108i	−0.128903	+	0.0744223i
$957$		0			0
$958$	24.8215	−	14.3307i	0.801946	−	0.463004i
$959$	9.54082	−	16.5252i	0.308089	−	0.533626i
$960$		0			0
$961$	−12.4688			−0.402219
$962$	25.0630	−	27.7632i	0.808063	−	0.895120i
$963$		0			0
$964$	−5.38108	−	3.10677i	−0.173313	−	0.100062i
$965$	−30.9716	+	22.0647i	−0.997012	+	0.710289i
$966$		0			0
$967$	−1.88667			−0.0606711			−0.0303356	−	0.999540i	$-0.509658\pi$
$967$	−1.88667			−0.0606711			−0.0303356	+	0.999540i	$0.509658\pi$
$968$	5.32307	+	9.21982i	0.171090	+	0.296336i
$969$		0			0
$970$	34.3909	+	15.6969i	1.10422	+	0.503998i
$971$	−23.9611	−	41.5018i	−0.768947	−	1.33186i	−0.938134	−	0.346271i	$-0.887448\pi$
$971$	−23.9611	−	41.5018i	−0.768947	−	1.33186i	0.169187	−	0.985584i	$-0.445886\pi$
$972$		0			0
$973$	9.95499	−	17.2425i	0.319142	−	0.552770i
$974$	17.4398			0.558807
$975$		0			0
$976$	6.82619			0.218501
$977$	16.1581	−	27.9867i	0.516945	−	0.895374i	−0.482862	−	0.875697i	$-0.660403\pi$
$977$	16.1581	−	27.9867i	0.516945	−	0.895374i	0.999806	−	0.0196777i	$-0.00626400\pi$
$978$		0			0
$979$	1.80081	+	3.11909i	0.0575541	+	0.0996866i
$980$	−1.76515	−	0.805661i	−0.0563855	−	0.0257359i
$981$		0			0
$982$	−11.2233	−	19.4394i	−0.358151	−	0.620336i
$983$	−20.4850			−0.653370			−0.326685	−	0.945133i	$-0.605932\pi$
$983$	−20.4850			−0.653370			−0.326685	+	0.945133i	$0.605932\pi$
$984$		0			0
$985$	11.5275	−	8.21242i	0.367298	−	0.261669i
$986$	12.5786	+	7.26224i	0.400583	+	0.231277i
$987$		0			0
$988$	5.74396	−	26.8528i	0.182740	−	0.854302i
$989$	19.7185			0.627012
$990$		0			0
$991$	0.834181	−	1.44484i	0.0264986	−	0.0458970i	−0.852472	−	0.522773i	$-0.824898\pi$
$991$	0.834181	−	1.44484i	0.0264986	−	0.0458970i	0.878971	+	0.476876i	$0.158231\pi$
$992$	5.70978	−	3.29654i	0.181286	−	0.104665i
$993$		0			0
$994$	3.12070	−	1.80174i	0.0989826	−	0.0571476i
$995$	−3.54381	−	37.0292i	−0.112346	−	1.17391i
$996$		0			0
$997$	−2.71512	+	1.56758i	−0.0859887	+	0.0496456i	−0.542378	−	0.840135i	$-0.682476\pi$
$997$	−2.71512	+	1.56758i	−0.0859887	+	0.0496456i	0.456389	+	0.889780i	$0.349143\pi$
$998$	−9.01844	−	5.20680i	−0.285474	−	0.164818i
$999$		0			0

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	1170.2.bj.d.199.1		12
3.2	odd	2		390.2.x.a.199.6	yes	12
5.4	even	2		1170.2.bj.c.199.6		12
13.10	even	6		1170.2.bj.c.829.6		12
15.2	even	4		1950.2.bc.j.901.1		12
15.8	even	4		1950.2.bc.i.901.6		12
15.14	odd	2		390.2.x.b.199.1	yes	12
39.23	odd	6		390.2.x.b.49.1	yes	12
65.49	even	6	inner	1170.2.bj.d.829.1		12
195.23	even	12		1950.2.bc.i.751.6		12
195.62	even	12		1950.2.bc.j.751.1		12
195.179	odd	6		390.2.x.a.49.6	✓	12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
390.2.x.a.49.6	✓	12	195.179	odd	6
390.2.x.a.199.6	yes	12	3.2	odd	2
390.2.x.b.49.1	yes	12	39.23	odd	6
390.2.x.b.199.1	yes	12	15.14	odd	2
1170.2.bj.c.199.6		12	5.4	even	2
1170.2.bj.c.829.6		12	13.10	even	6
1170.2.bj.d.199.1		12	1.1	even	1	trivial
1170.2.bj.d.829.1		12	65.49	even	6	inner
1950.2.bc.i.751.6		12	195.23	even	12
1950.2.bc.i.901.6		12	15.8	even	4
1950.2.bc.j.751.1		12	195.62	even	12
1950.2.bc.j.901.1		12	15.2	even	4

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:	\( N \)	\(=\)	\( 1170 = 2 \cdot 3^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	1170.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 - 0.866025i) q^{2} +(-0.500000 - 0.866025i) q^{4} +(-2.03420 - 0.928463i) q^{5} +(1.40247 + 2.42916i) q^{7} -1.00000 q^{8} +O(q^{10})\)	\(q+(0.500000 - 0.866025i) q^{2} +(-0.500000 - 0.866025i) q^{4} +(-2.03420 - 0.928463i) q^{5} +(1.40247 + 2.42916i) q^{7} -1.00000 q^{8} +(-1.82117 + 1.29743i) q^{10} +(0.515171 + 0.297434i) q^{11} +(-1.10975 - 3.43052i) q^{13} +2.80495 q^{14} +(-0.500000 + 0.866025i) q^{16} +(-4.98222 + 2.87649i) q^{17} +(-6.59574 + 3.80805i) q^{19} +(0.213026 + 2.22590i) q^{20} +(0.515171 - 0.297434i) q^{22} +(-4.02317 - 2.32278i) q^{23} +(3.27591 + 3.77735i) q^{25} +(-3.52579 - 0.754186i) q^{26} +(1.40247 - 2.42916i) q^{28} +(1.26235 - 2.18645i) q^{29} -6.59309i q^{31} +(0.500000 + 0.866025i) q^{32} +5.75297i q^{34} +(-0.597526 - 6.24353i) q^{35} +(-5.18679 + 8.98379i) q^{37} +7.61611i q^{38} +(2.03420 + 0.928463i) q^{40} +(4.98222 + 2.87649i) q^{41} +(-3.67593 + 2.12230i) q^{43} -0.594869i q^{44} +(-4.02317 + 2.32278i) q^{46} -2.89798 q^{47} +(-0.433868 + 0.751482i) q^{49} +(4.90924 - 0.948346i) q^{50} +(-2.41604 + 2.67633i) q^{52} +13.8960i q^{53} +(-0.771803 - 1.08336i) q^{55} +(-1.40247 - 2.42916i) q^{56} +(-1.26235 - 2.18645i) q^{58} +(-8.40299 + 4.85147i) q^{59} +(-3.41309 - 5.91165i) q^{61} +(-5.70978 - 3.29654i) q^{62} +1.00000 q^{64} +(-0.927657 + 8.00871i) q^{65} +(-3.93121 + 6.80906i) q^{67} +(4.98222 + 2.87649i) q^{68} +(-5.70582 - 2.60429i) q^{70} +(1.11257 - 0.642342i) q^{71} +14.5400 q^{73} +(5.18679 + 8.98379i) q^{74} +(6.59574 + 3.80805i) q^{76} +1.66858i q^{77} -1.83150 q^{79} +(1.82117 - 1.29743i) q^{80} +(4.98222 - 2.87649i) q^{82} -4.19184 q^{83} +(12.8055 - 1.22553i) q^{85} +4.24460i q^{86} +(-0.515171 - 0.297434i) q^{88} +(5.24333 + 3.02724i) q^{89} +(6.77687 - 7.50697i) q^{91} +4.64555i q^{92} +(-1.44899 + 2.50973i) q^{94} +(16.9527 - 1.62243i) q^{95} +(-8.45318 - 14.6413i) q^{97} +(0.433868 + 0.751482i) q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 12 q + 6 q^{2} - 6 q^{4} + 2 q^{5} - 2 q^{7} - 12 q^{8}+O(q^{10}) \) 12 * q + 6 * q^2 - 6 * q^4 + 2 * q^5 - 2 * q^7 - 12 * q^8	\( 12 q + 6 q^{2} - 6 q^{4} + 2 q^{5} - 2 q^{7} - 12 q^{8} - 2 q^{10} - 6 q^{11} - 8 q^{13} - 4 q^{14} - 6 q^{16} - 18 q^{17} - 6 q^{19} - 4 q^{20} - 6 q^{22} - 6 q^{23} - 10 q^{25} + 2 q^{26} - 2 q^{28} - 14 q^{29} + 6 q^{32} - 26 q^{35} - 12 q^{37} - 2 q^{40} + 18 q^{41} - 36 q^{43} - 6 q^{46} - 16 q^{47} + 8 q^{49} + 10 q^{50} + 10 q^{52} - 28 q^{55} + 2 q^{56} + 14 q^{58} + 36 q^{59} + 10 q^{61} - 6 q^{62} + 12 q^{64} - 6 q^{65} + 4 q^{67} + 18 q^{68} - 4 q^{70} + 12 q^{71} + 28 q^{73} + 12 q^{74} + 6 q^{76} + 4 q^{79} + 2 q^{80} + 18 q^{82} - 72 q^{83} + 18 q^{85} + 6 q^{88} - 18 q^{89} + 2 q^{91} - 8 q^{94} + 42 q^{95} - 48 q^{97} - 8 q^{98}+O(q^{100}) \) 12 * q + 6 * q^2 - 6 * q^4 + 2 * q^5 - 2 * q^7 - 12 * q^8 - 2 * q^10 - 6 * q^11 - 8 * q^13 - 4 * q^14 - 6 * q^16 - 18 * q^17 - 6 * q^19 - 4 * q^20 - 6 * q^22 - 6 * q^23 - 10 * q^25 + 2 * q^26 - 2 * q^28 - 14 * q^29 + 6 * q^32 - 26 * q^35 - 12 * q^37 - 2 * q^40 + 18 * q^41 - 36 * q^43 - 6 * q^46 - 16 * q^47 + 8 * q^49 + 10 * q^50 + 10 * q^52 - 28 * q^55 + 2 * q^56 + 14 * q^58 + 36 * q^59 + 10 * q^61 - 6 * q^62 + 12 * q^64 - 6 * q^65 + 4 * q^67 + 18 * q^68 - 4 * q^70 + 12 * q^71 + 28 * q^73 + 12 * q^74 + 6 * q^76 + 4 * q^79 + 2 * q^80 + 18 * q^82 - 72 * q^83 + 18 * q^85 + 6 * q^88 - 18 * q^89 + 2 * q^91 - 8 * q^94 + 42 * q^95 - 48 * q^97 - 8 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more