LMFDB - Embedded newform 210.2.x.a.137.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [210,2,Mod(23,210)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(210, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 4]))

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

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

chi := DirichletCharacter("210.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 210 = 2 \cdot 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	210.x (of order $12$, degree $4$, 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:	$1.67685844245$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$16$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			137.9
Character	$\chi$	$=$	210.137
Dual form			210.2.x.a.23.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.965926 + 0.258819i) q^{2} +(-1.71308 - 0.255627i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.962923 + 2.01811i) q^{5} +(-1.58855 - 0.690295i) q^{6} +(1.50791 + 2.17399i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.86931 + 0.875819i) q^{9} +O(q^{10})$	\(q+(0.965926 + 0.258819i) q^{2} +(-1.71308 - 0.255627i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.962923 + 2.01811i) q^{5} +(-1.58855 - 0.690295i) q^{6} +(1.50791 + 2.17399i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.86931 + 0.875819i) q^{9} +(-1.45244 + 1.70012i) q^{10} +(0.149681 + 0.0864181i) q^{11} +(-1.35576 - 1.07792i) q^{12} +(-2.28029 + 2.28029i) q^{13} +(0.893856 + 2.49019i) q^{14} +(2.16545 - 3.21105i) q^{15} +(0.500000 + 0.866025i) q^{16} +(0.891651 + 3.32769i) q^{17} +(2.54486 + 1.58861i) q^{18} +(2.38005 - 1.37412i) q^{19} +(-1.84297 + 1.26628i) q^{20} +(-2.02744 - 4.10968i) q^{21} +(0.122214 + 0.122214i) q^{22} +(1.68559 - 6.29072i) q^{23} +(-1.03058 - 1.39209i) q^{24} +(-3.14556 - 3.88657i) q^{25} +(-2.79277 + 1.61241i) q^{26} +(-4.69148 - 2.23382i) q^{27} +(0.218891 + 2.63668i) q^{28} -0.840779 q^{29} +(2.92274 - 2.54117i) q^{30} +(4.06710 - 7.04442i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-0.234325 - 0.186304i) q^{33} +3.44508i q^{34} +(-5.83935 + 0.949743i) q^{35} +(2.04699 + 2.19314i) q^{36} +(-1.58924 + 5.93113i) q^{37} +(2.65460 - 0.711298i) q^{38} +(4.48922 - 3.32342i) q^{39} +(-2.10791 + 0.746132i) q^{40} -10.1114i q^{41} +(-0.894692 - 4.49439i) q^{42} +(-3.19626 + 3.19626i) q^{43} +(0.0864181 + 0.149681i) q^{44} +(-4.53043 + 4.94725i) q^{45} +(3.25632 - 5.64011i) q^{46} +(-1.52745 - 0.409280i) q^{47} +(-0.635163 - 1.61139i) q^{48} +(-2.45244 + 6.55634i) q^{49} +(-2.03246 - 4.56827i) q^{50} +(-0.676827 - 5.92854i) q^{51} +(-3.11493 + 0.834642i) q^{52} +(10.2236 - 2.73940i) q^{53} +(-3.95347 - 3.37195i) q^{54} +(-0.318532 + 0.218858i) q^{55} +(-0.470991 + 2.60349i) q^{56} +(-4.42849 + 1.74558i) q^{57} +(-0.812130 - 0.217610i) q^{58} +(4.86826 - 8.43207i) q^{59} +(3.48086 - 1.69812i) q^{60} +(6.03552 + 10.4538i) q^{61} +(5.75174 - 5.75174i) q^{62} +(2.42263 + 7.55850i) q^{63} +1.00000i q^{64} +(-2.40614 - 6.79761i) q^{65} +(-0.178121 - 0.240603i) q^{66} +(1.24153 - 0.332666i) q^{67} +(-0.891651 + 3.32769i) q^{68} +(-4.49564 + 10.3457i) q^{69} +(-5.88619 - 0.593954i) q^{70} +9.00908i q^{71} +(1.40961 + 2.64821i) q^{72} +(-0.0189461 - 0.0707076i) q^{73} +(-3.07018 + 5.31771i) q^{74} +(4.39510 + 7.46211i) q^{75} +2.74825 q^{76} +(0.0378323 + 0.455714i) q^{77} +(5.19642 - 2.04828i) q^{78} +(12.0207 - 6.94014i) q^{79} +(-2.22920 + 0.175141i) q^{80} +(7.46588 + 5.02600i) q^{81} +(2.61703 - 9.76690i) q^{82} +(-5.33300 - 5.33300i) q^{83} +(0.299027 - 4.57281i) q^{84} +(-7.57424 - 1.40485i) q^{85} +(-3.91461 + 2.26010i) q^{86} +(1.44032 + 0.214926i) q^{87} +(0.0447333 + 0.166947i) q^{88} +(7.02662 + 12.1705i) q^{89} +(-5.65650 + 3.60611i) q^{90} +(-8.39577 - 1.51886i) q^{91} +(4.60513 - 4.60513i) q^{92} +(-8.76802 + 11.0280i) q^{93} +(-1.36948 - 0.790668i) q^{94} +(0.481331 + 6.12638i) q^{95} +(-0.196462 - 1.72087i) q^{96} +(-6.33765 - 6.33765i) q^{97} +(-4.06578 + 5.69820i) q^{98} +(0.353793 + 0.379054i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q + 8 q^{6} + 4 q^{7}+O(q^{10}) $ 64 * q + 8 * q^6 + 4 * q^7	$ 64 q + 8 q^{6} + 4 q^{7} + 4 q^{10} - 24 q^{15} + 32 q^{16} - 8 q^{18} + 12 q^{21} - 24 q^{22} - 8 q^{25} - 72 q^{27} + 4 q^{28} - 12 q^{30} + 32 q^{31} - 20 q^{33} - 24 q^{36} - 8 q^{37} - 40 q^{42} - 64 q^{43} - 28 q^{45} + 24 q^{46} - 16 q^{55} + 24 q^{57} - 28 q^{58} + 8 q^{60} + 24 q^{61} - 88 q^{63} - 16 q^{67} - 12 q^{70} + 8 q^{72} - 56 q^{73} + 8 q^{75} - 32 q^{76} - 16 q^{78} + 4 q^{81} + 16 q^{82} + 32 q^{85} + 76 q^{87} + 12 q^{88} + 40 q^{90} - 48 q^{91} + 84 q^{93} + 4 q^{96} + 104 q^{97}+O(q^{100}) $ 64 * q + 8 * q^6 + 4 * q^7 + 4 * q^10 - 24 * q^15 + 32 * q^16 - 8 * q^18 + 12 * q^21 - 24 * q^22 - 8 * q^25 - 72 * q^27 + 4 * q^28 - 12 * q^30 + 32 * q^31 - 20 * q^33 - 24 * q^36 - 8 * q^37 - 40 * q^42 - 64 * q^43 - 28 * q^45 + 24 * q^46 - 16 * q^55 + 24 * q^57 - 28 * q^58 + 8 * q^60 + 24 * q^61 - 88 * q^63 - 16 * q^67 - 12 * q^70 + 8 * q^72 - 56 * q^73 + 8 * q^75 - 32 * q^76 - 16 * q^78 + 4 * q^81 + 16 * q^82 + 32 * q^85 + 76 * q^87 + 12 * q^88 + 40 * q^90 - 48 * q^91 + 84 * q^93 + 4 * q^96 + 104 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/210\mathbb{Z}\right)^\times$.

$n$	$31$	$71$	$127$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.965926	+	0.258819i	0.683013	+	0.183013i
$2$	0.965926	+	0.258819i	0.683013	+	0.183013i
$3$	−1.71308	−	0.255627i	−0.989049	−	0.147586i
$3$	−1.71308	−	0.255627i	−0.989049	−	0.147586i
$4$	0.866025	+	0.500000i	0.433013	+	0.250000i
$5$	−0.962923	+	2.01811i	−0.430632	+	0.902528i
$5$	−0.962923	+	2.01811i	−0.430632	+	0.902528i
$6$	−1.58855	−	0.690295i	−0.648523	−	0.281812i
$7$	1.50791	+	2.17399i	0.569935	+	0.821690i
$7$	1.50791	+	2.17399i	0.569935	+	0.821690i
$8$	0.707107	+	0.707107i	0.250000	+	0.250000i
$9$	2.86931	+	0.875819i	0.956437	+	0.291940i
$10$	−1.45244	+	1.70012i	−0.459301	+	0.537627i
$11$	0.149681	+	0.0864181i	0.0451304	+	0.0260560i	0.522395	−	0.852703i	$-0.325038\pi$
$11$	0.149681	+	0.0864181i	0.0451304	+	0.0260560i	−0.477265	+	0.878759i	$0.658372\pi$
$12$	−1.35576	−	1.07792i	−0.391374	−	0.311169i
$13$	−2.28029	+	2.28029i	−0.632437	+	0.632437i	−0.948679	−	0.316241i	$-0.897579\pi$
$13$	−2.28029	+	2.28029i	−0.632437	+	0.632437i	0.316241	+	0.948679i	$0.397579\pi$
$14$	0.893856	+	2.49019i	0.238893	+	0.665530i
$15$	2.16545	−	3.21105i	0.559117	−	0.829089i
$16$	0.500000	+	0.866025i	0.125000	+	0.216506i
$17$	0.891651	+	3.32769i	0.216257	+	0.807083i	0.985720	+	0.168391i	$0.0538573\pi$
$17$	0.891651	+	3.32769i	0.216257	+	0.807083i	−0.769463	+	0.638691i	$0.779476\pi$
$18$	2.54486	+	1.58861i	0.599830	+	0.374439i
$19$	2.38005	−	1.37412i	0.546021	−	0.315245i	−0.201495	−	0.979490i	$-0.564580\pi$
$19$	2.38005	−	1.37412i	0.546021	−	0.315245i	0.747516	+	0.664244i	$0.231247\pi$
$20$	−1.84297	+	1.26628i	−0.412101	+	0.283148i
$21$	−2.02744	−	4.10968i	−0.442424	−	0.896806i
$22$	0.122214	+	0.122214i	0.0260560	+	0.0260560i
$23$	1.68559	−	6.29072i	0.351471	−	1.31171i	−0.533397	−	0.845865i	$-0.679085\pi$
$23$	1.68559	−	6.29072i	0.351471	−	1.31171i	0.884868	−	0.465842i	$-0.154248\pi$
$24$	−1.03058	−	1.39209i	−0.210366	−	0.284159i
$25$	−3.14556	−	3.88657i	−0.629112	−	0.777315i
$26$	−2.79277	+	1.61241i	−0.547707	+	0.316219i
$27$	−4.69148	−	2.23382i	−0.902877	−	0.429900i
$28$	0.218891	+	2.63668i	0.0413665	+	0.498286i
$29$	−0.840779			−0.156129			−0.0780644	−	0.996948i	$-0.524874\pi$
$29$	−0.840779			−0.156129			−0.0780644	+	0.996948i	$0.524874\pi$
$30$	2.92274	−	2.54117i	0.533618	−	0.463953i
$31$	4.06710	−	7.04442i	0.730472	−	1.26522i	−0.226209	−	0.974079i	$-0.572633\pi$
$31$	4.06710	−	7.04442i	0.730472	−	1.26522i	0.956682	−	0.291136i	$-0.0940333\pi$
$32$	0.258819	+	0.965926i	0.0457532	+	0.170753i
$33$	−0.234325	−	0.186304i	−0.0407907	−	0.0324313i
$34$			3.44508i			0.590826i
$35$	−5.83935	+	0.949743i	−0.987030	+	0.160536i
$36$	2.04699	+	2.19314i	0.341164	+	0.365523i
$37$	−1.58924	+	5.93113i	−0.261270	+	0.975072i	0.703224	+	0.710968i	$0.251743\pi$
$37$	−1.58924	+	5.93113i	−0.261270	+	0.975072i	−0.964494	+	0.264104i	$0.914924\pi$
$38$	2.65460	−	0.711298i	0.430633	−	0.115388i
$39$	4.48922	−	3.32342i	0.718851	−	0.532173i
$40$	−2.10791	+	0.746132i	−0.333290	+	0.117974i
$41$		−	10.1114i		−	1.57914i	−0.613659	−	0.789571i	$-0.710303\pi$
$41$		−	10.1114i		−	1.57914i	0.613659	−	0.789571i	$-0.289697\pi$
$42$	−0.894692	−	4.49439i	−0.138054	−	0.693499i
$43$	−3.19626	+	3.19626i	−0.487426	+	0.487426i	−0.907493	−	0.420067i	$-0.862006\pi$
$43$	−3.19626	+	3.19626i	−0.487426	+	0.487426i	0.420067	+	0.907493i	$0.362006\pi$
$44$	0.0864181	+	0.149681i	0.0130280	+	0.0225652i
$45$	−4.53043	+	4.94725i	−0.675356	+	0.737492i
$46$	3.25632	−	5.64011i	0.480118	−	0.831589i
$47$	−1.52745	−	0.409280i	−0.222802	−	0.0596996i	0.145691	−	0.989330i	$-0.453459\pi$
$47$	−1.52745	−	0.409280i	−0.222802	−	0.0596996i	−0.368493	+	0.929631i	$0.620126\pi$
$48$	−0.635163	−	1.61139i	−0.0916778	−	0.232584i
$49$	−2.45244	+	6.55634i	−0.350349	+	0.936619i
$50$	−2.03246	−	4.56827i	−0.287433	−	0.646051i
$51$	−0.676827	−	5.92854i	−0.0947748	−	0.830161i
$52$	−3.11493	+	0.834642i	−0.431963	+	0.115744i
$53$	10.2236	−	2.73940i	1.40431	−	0.376285i	0.524422	−	0.851458i	$-0.324281\pi$
$53$	10.2236	−	2.73940i	1.40431	−	0.376285i	0.879892	+	0.475174i	$0.157615\pi$
$54$	−3.95347	−	3.37195i	−0.537999	−	0.458865i
$55$	−0.318532	+	0.218858i	−0.0429509	+	0.0295109i
$56$	−0.470991	+	2.60349i	−0.0629388	+	0.347906i
$57$	−4.42849	+	1.74558i	−0.586567	+	0.231208i
$58$	−0.812130	−	0.217610i	−0.106638	−	0.0285736i
$59$	4.86826	−	8.43207i	0.633793	−	1.09776i	−0.352976	−	0.935632i	$-0.614830\pi$
$59$	4.86826	−	8.43207i	0.633793	−	1.09776i	0.986769	−	0.162130i	$-0.0518363\pi$
$60$	3.48086	−	1.69812i	0.449377	−	0.219227i
$61$	6.03552	+	10.4538i	0.772769	+	1.33848i	0.936040	+	0.351894i	$0.114462\pi$
$61$	6.03552	+	10.4538i	0.772769	+	1.33848i	−0.163270	+	0.986581i	$0.552204\pi$
$62$	5.75174	−	5.75174i	0.730472	−	0.730472i
$63$	2.42263	+	7.55850i	0.305223	+	0.952281i
$64$			1.00000i			0.125000i
$65$	−2.40614	−	6.79761i	−0.298444	−	0.843140i
$66$	−0.178121	−	0.240603i	−0.0219252	−	0.0296162i
$67$	1.24153	−	0.332666i	0.151677	−	0.0406416i	−0.182182	−	0.983265i	$-0.558316\pi$
$67$	1.24153	−	0.332666i	0.151677	−	0.0406416i	0.333858	+	0.942623i	$0.391649\pi$
$68$	−0.891651	+	3.32769i	−0.108129	+	0.403541i
$69$	−4.49564	+	10.3457i	−0.541211	+	1.24547i
$70$	−5.88619	−	0.593954i	−0.703534	−	0.0709910i
$71$			9.00908i			1.06918i	0.845111	+	0.534591i	$0.179534\pi$
$71$			9.00908i			1.06918i	−0.845111	+	0.534591i	$0.820466\pi$
$72$	1.40961	+	2.64821i	0.166124	+	0.312094i
$73$	−0.0189461	−	0.0707076i	−0.00221747	−	0.00827570i	0.964808	−	0.262955i	$-0.0846969\pi$
$73$	−0.0189461	−	0.0707076i	−0.00221747	−	0.00827570i	−0.967026	+	0.254679i	$0.918030\pi$
$74$	−3.07018	+	5.31771i	−0.356901	+	0.618171i
$75$	4.39510	+	7.46211i	0.507502	+	0.861651i
$76$	2.74825			0.315245
$77$	0.0378323	+	0.455714i	0.00431139	+	0.0519334i
$78$	5.19642	−	2.04828i	0.588379	−	0.231922i
$79$	12.0207	−	6.94014i	1.35243	−	0.780826i	0.363842	−	0.931461i	$-0.381465\pi$
$79$	12.0207	−	6.94014i	1.35243	−	0.780826i	0.988590	+	0.150634i	$0.0481316\pi$
$80$	−2.22920	+	0.175141i	−0.249232	+	0.0195814i
$81$	7.46588	+	5.02600i	0.829542	+	0.558444i
$82$	2.61703	−	9.76690i	0.289003	−	1.07857i
$83$	−5.33300	−	5.33300i	−0.585372	−	0.585372i	0.351002	−	0.936375i	$-0.385841\pi$
$83$	−5.33300	−	5.33300i	−0.585372	−	0.585372i	−0.936375	+	0.351002i	$0.885841\pi$
$84$	0.299027	−	4.57281i	0.0326266	−	0.498934i
$85$	−7.57424	−	1.40485i	−0.821542	−	0.152378i
$86$	−3.91461	+	2.26010i	−0.422123	+	0.243713i
$87$	1.44032	+	0.214926i	0.154419	+	0.0230424i
$88$	0.0447333	+	0.166947i	0.00476859	+	0.0177966i
$89$	7.02662	+	12.1705i	0.744820	+	1.29007i	0.950279	+	0.311401i	$0.100798\pi$
$89$	7.02662	+	12.1705i	0.744820	+	1.29007i	−0.205458	+	0.978666i	$0.565868\pi$
$90$	−5.65650	+	3.60611i	−0.596247	+	0.380118i
$91$	−8.39577	−	1.51886i	−0.880116	−	0.159219i
$92$	4.60513	−	4.60513i	0.480118	−	0.480118i
$93$	−8.76802	+	11.0280i	−0.909201	+	1.14355i
$94$	−1.36948	−	0.790668i	−0.141251	−	0.0815512i
$95$	0.481331	+	6.12638i	0.0493835	+	0.628554i
$96$	−0.196462	−	1.72087i	−0.0200513	−	0.175636i
$97$	−6.33765	−	6.33765i	−0.643491	−	0.643491i	0.307921	−	0.951412i	$-0.400367\pi$
$97$	−6.33765	−	6.33765i	−0.643491	−	0.643491i	−0.951412	+	0.307921i	$0.900367\pi$
$98$	−4.06578	+	5.69820i	−0.410706	+	0.575605i
$99$	0.353793	+	0.379054i	0.0355576	+	0.0380963i
$100$	−0.780849	−	4.93865i	−0.0780849	−	0.493865i
$101$	−8.57430	−	4.95037i	−0.853174	−	0.492580i	0.00854630	−	0.999963i	$-0.497280\pi$
$101$	−8.57430	−	4.95037i	−0.853174	−	0.492580i	−0.861721	+	0.507383i	$0.830613\pi$
$102$	0.880653	−	5.90170i	0.0871977	−	0.584356i
$103$	8.70127	+	2.33150i	0.857362	+	0.229729i	0.660615	−	0.750725i	$-0.270296\pi$
$103$	8.70127	+	2.33150i	0.857362	+	0.229729i	0.196747	+	0.980454i	$0.436962\pi$
$104$	−3.22481			−0.316219
$105$	10.2461	−	0.134296i	0.999914	−	0.0131059i
$106$	10.5842			1.02803
$107$	−5.87171	−	1.57332i	−0.567640	−	0.152099i	−0.0364257	−	0.999336i	$-0.511597\pi$
$107$	−5.87171	−	1.57332i	−0.567640	−	0.152099i	−0.531214	+	0.847238i	$0.678264\pi$
$108$	−2.94603	−	4.28029i	−0.283482	−	0.411871i
$109$	−13.6018	−	7.85302i	−1.30282	−	0.752183i	−0.321933	−	0.946763i	$-0.604333\pi$
$109$	−13.6018	−	7.85302i	−1.30282	−	0.752183i	−0.980887	+	0.194579i	$0.937666\pi$
$110$	−0.364323	+	0.128959i	−0.0347369	+	0.0122957i
$111$	4.23866	−	9.75428i	0.402316	−	0.925835i
$112$	−1.12878	+	2.39288i	−0.106659	+	0.226106i
$113$	−1.64994	−	1.64994i	−0.155213	−	0.155213i	0.625228	−	0.780442i	$-0.285006\pi$
$113$	−1.64994	−	1.64994i	−0.155213	−	0.155213i	−0.780442	+	0.625228i	$0.785006\pi$
$114$	−4.72938	+	0.539926i	−0.442947	+	0.0505687i
$115$	11.0723	+	9.45920i	1.03250	+	0.882075i
$116$	−0.728136	−	0.420390i	−0.0676057	−	0.0390322i
$117$	−8.53997	+	4.54573i	−0.789520	+	0.420253i
$118$	6.88476	−	6.88476i	0.633793	−	0.633793i
$119$	−5.88982	+	6.95628i	−0.539919	+	0.637681i
$120$	3.80176	−	0.739349i	0.347051	−	0.0674930i
$121$	−5.48506	−	9.50041i	−0.498642	−	0.863674i
$122$	3.12422	+	11.6597i	0.282853	+	1.05562i
$123$	−2.58475	+	17.3217i	−0.233059	+	1.56185i
$124$	7.04442	−	4.06710i	0.632608	−	0.365236i
$125$	10.8725	−	2.60563i	0.972464	−	0.233054i
$126$	0.383797	+	7.92797i	0.0341913	+	0.706280i
$127$	2.13805	+	2.13805i	0.189721	+	0.189721i	0.795576	−	0.605854i	$-0.207169\pi$
$127$	2.13805	+	2.13805i	0.189721	+	0.189721i	−0.605854	+	0.795576i	$0.707169\pi$
$128$	−0.258819	+	0.965926i	−0.0228766	+	0.0853766i
$129$	6.29252	−	4.65842i	0.554025	−	0.410151i
$130$	−0.564797	−	7.18874i	−0.0495360	−	0.630494i
$131$	−5.20685	+	3.00618i	−0.454925	+	0.262651i	−0.709908	−	0.704294i	$-0.751263\pi$
$131$	−5.20685	+	3.00618i	−0.454925	+	0.262651i	0.254983	+	0.966946i	$0.417930\pi$
$132$	−0.109779	−	0.278506i	−0.00955505	−	0.0242408i
$133$	6.57622	+	3.10215i	0.570230	+	0.268991i
$134$	1.28532			0.111035
$135$	9.02565	−	7.31695i	0.776804	−	0.629743i
$136$	−1.72254	+	2.98352i	−0.147706	+	0.255835i
$137$	2.50449	+	9.34687i	0.213973	+	0.798557i	0.986526	+	0.163607i	$0.0523129\pi$
$137$	2.50449	+	9.34687i	0.213973	+	0.798557i	−0.772553	+	0.634951i	$0.781020\pi$
$138$	−7.02011	+	8.82957i	−0.597591	+	0.751623i
$139$		−	10.1596i		−	0.861723i	−0.902418	−	0.430861i	$-0.858210\pi$
$139$		−	10.1596i		−	0.861723i	0.902418	−	0.430861i	$-0.141790\pi$
$140$	−5.53190	−	2.09717i	−0.467530	−	0.177243i
$141$	2.51203	+	1.09159i	0.211551	+	0.0919283i
$142$	−2.33172	+	8.70211i	−0.195674	+	0.730265i
$143$	−0.538372	+	0.144256i	−0.0450210	+	0.0120633i
$144$	0.676173	+	2.92281i	0.0563478	+	0.243567i
$145$	0.809605	−	1.69679i	0.0672341	−	0.140911i
$146$		−	0.0732019i		−	0.00605824i
$147$	5.87721	−	10.6046i	0.484744	−	0.874656i
$148$	−4.34189	+	4.34189i	−0.356901	+	0.356901i
$149$	2.65975	+	4.60681i	0.217895	+	0.377405i	0.954164	−	0.299284i	$-0.0967477\pi$
$149$	2.65975	+	4.60681i	0.217895	+	0.377405i	−0.736269	+	0.676689i	$0.763414\pi$
$150$	2.31400	+	8.34538i	0.188937	+	0.681398i
$151$	−7.80296	+	13.5151i	−0.634996	+	1.09984i	0.351520	+	0.936180i	$0.385665\pi$
$151$	−7.80296	+	13.5151i	−0.634996	+	1.09984i	−0.986516	+	0.163665i	$0.947669\pi$
$152$	2.65460	+	0.711298i	0.215317	+	0.0576939i
$153$	−0.356030	+	10.3291i	−0.0287833	+	0.835058i
$154$	−0.0814043	+	0.449978i	−0.00655974	+	0.0362602i
$155$	10.3001	+	14.9911i	0.827327	+	1.20411i
$156$	5.54949	−	0.633554i	0.444315	−	0.0507249i
$157$	8.75604	−	2.34617i	0.698808	−	0.187245i	0.108112	−	0.994139i	$-0.465520\pi$
$157$	8.75604	−	2.34617i	0.698808	−	0.187245i	0.590697	+	0.806894i	$0.298853\pi$
$158$	13.4073	−	3.59248i	1.06663	−	0.285802i
$159$	−18.2141	+	2.07940i	−1.44447	+	0.164907i
$160$	−2.19857	−	0.407786i	−0.173812	−	0.0322383i
$161$	16.2177	−	5.82136i	1.27813	−	0.458787i
$162$	5.91066	+	6.78705i	0.464386	+	0.533241i
$163$	−21.2648	−	5.69789i	−1.66559	−	0.446293i	−0.701672	−	0.712500i	$-0.747563\pi$
$163$	−21.2648	−	5.69789i	−1.66559	−	0.446293i	−0.963916	+	0.266207i	$0.914229\pi$
$164$	5.05572	−	8.75677i	0.394786	−	0.683789i
$165$	0.601618	−	0.293497i	0.0468359	−	0.0228487i
$166$	−3.77100	−	6.53156i	−0.292686	−	0.506947i
$167$	−6.24746	+	6.24746i	−0.483443	+	0.483443i	−0.906229	−	0.422786i	$-0.861052\pi$
$167$	−6.24746	+	6.24746i	−0.483443	+	0.483443i	0.422786	+	0.906229i	$0.361052\pi$
$168$	1.47237	−	4.33960i	0.113596	−	0.334807i
$169$			2.60059i			0.200046i
$170$	−6.95255	−	3.31734i	−0.533236	−	0.254428i
$171$	8.03258	−	1.85829i	0.614267	−	0.142107i
$172$	−4.36618	+	1.16991i	−0.332918	+	0.0892051i
$173$	5.21669	−	19.4689i	0.396617	−	1.48020i	−0.422390	−	0.906414i	$-0.638809\pi$
$173$	5.21669	−	19.4689i	0.396617	−	1.48020i	0.819008	−	0.573783i	$-0.194525\pi$
$174$	1.33562	+	0.580386i	0.101253	+	0.0439989i
$175$	3.70615	−	12.6990i	0.280159	−	0.959954i
$176$			0.172836i			0.0130280i
$177$	−10.4952	+	13.2004i	−0.788867	+	0.992202i
$178$	3.63725	+	13.5744i	0.272623	+	1.01744i
$179$	0.0831851	−	0.144081i	0.00621755	−	0.0107691i	−0.862900	−	0.505375i	$-0.831354\pi$
$179$	0.0831851	−	0.144081i	0.00621755	−	0.0107691i	0.869117	+	0.494606i	$0.164688\pi$
$180$	−6.39709	+	2.01923i	−0.476811	+	0.150504i
$181$	−0.628045			−0.0466822			−0.0233411	−	0.999728i	$-0.507430\pi$
$181$	−0.628045			−0.0466822			−0.0233411	+	0.999728i	$0.507430\pi$
$182$	−7.71658	−	3.64009i	−0.571991	−	0.269821i
$183$	−7.66707	−	19.4511i	−0.566766	−	1.43787i
$184$	5.64011	−	3.25632i	0.415794	−	0.240059i
$185$	−10.4394	−	8.91849i	−0.767519	−	0.655701i
$186$	−11.3235	+	8.38292i	−0.830281	+	0.614665i
$187$	−0.154110	+	0.575145i	−0.0112696	+	0.0420588i
$188$	−1.11817	−	1.11817i	−0.0815512	−	0.0815512i
$189$	−2.21801	−	13.5676i	−0.161337	−	0.986899i
$190$	−1.12069	+	6.04221i	−0.0813038	+	0.438348i
$191$	−0.811340	+	0.468427i	−0.0587065	+	0.0338942i	−0.529066	−	0.848581i	$-0.677458\pi$
$191$	−0.811340	+	0.468427i	−0.0587065	+	0.0338942i	0.470359	+	0.882475i	$0.344124\pi$
$192$	0.255627	−	1.71308i	0.0184483	−	0.123631i
$193$	−6.34457	−	23.6783i	−0.456692	−	1.70440i	−0.683065	−	0.730358i	$-0.739353\pi$
$193$	−6.34457	−	23.6783i	−0.456692	−	1.70440i	0.226373	−	0.974041i	$-0.427313\pi$
$194$	−4.48140	−	7.76201i	−0.321746	−	0.557280i
$195$	2.38426	+	12.2600i	0.170740	+	0.877953i
$196$	−5.40204	+	4.45173i	−0.385860	+	0.317981i
$197$	3.05486	−	3.05486i	0.217650	−	0.217650i	−0.589857	−	0.807507i	$-0.700816\pi$
$197$	3.05486	−	3.05486i	0.217650	−	0.217650i	0.807507	+	0.589857i	$0.200816\pi$
$198$	0.243632	+	0.457706i	0.0173142	+	0.0325278i
$199$	−8.08620	−	4.66857i	−0.573216	−	0.330946i	0.185217	−	0.982698i	$-0.440701\pi$
$199$	−8.08620	−	4.66857i	−0.573216	−	0.330946i	−0.758433	+	0.651751i	$0.774035\pi$
$200$	0.523975	−	4.97247i	0.0370506	−	0.351607i
$201$	−2.21188	+	0.252518i	−0.156014	+	0.0178112i
$202$	−7.00088	−	7.00088i	−0.492580	−	0.492580i
$203$	−1.26782	−	1.82784i	−0.0889832	−	0.128289i
$204$	2.37812	−	5.47268i	0.166502	−	0.383164i
$205$	20.4060	+	9.73654i	1.42522	+	0.680029i
$206$	7.80135	+	4.50411i	0.543546	+	0.313816i
$207$	10.3460	−	16.5738i	0.719099	−	1.15196i
$208$	−3.11493	−	0.834642i	−0.215981	−	0.0578720i
$209$	0.474996			0.0328562
$210$	9.93170	+	2.52216i	0.685353	+	0.174045i
$211$	−17.7735			−1.22358			−0.611790	−	0.791020i	$-0.709550\pi$
$211$	−17.7735			−1.22358			−0.611790	+	0.791020i	$0.709550\pi$
$212$	10.2236	+	2.73940i	0.702157	+	0.188142i
$213$	2.30296	−	15.4333i	0.157796	−	1.05747i
$214$	−5.26443	−	3.03942i	−0.359869	−	0.207770i
$215$	−3.37267	−	9.52818i	−0.230014	−	0.649816i
$216$	−1.73783	−	4.89693i	−0.118244	−	0.333194i
$217$	21.4473	−	1.78050i	1.45594	−	0.120868i
$218$	−11.1059	−	11.1059i	−0.752183	−	0.752183i
$219$	0.0143814	+	0.125971i	0.000971806	+	0.00851235i
$220$	−0.385286	+	0.0302707i	−0.0259760	+	0.00204085i
$221$	−9.62130	−	5.55486i	−0.647199	−	0.373660i
$222$	6.61882	−	8.32486i	0.444226	−	0.558728i
$223$	20.7814	−	20.7814i	1.39162	−	1.39162i	0.569929	−	0.821694i	$-0.306971\pi$
$223$	20.7814	−	20.7814i	1.39162	−	1.39162i	0.821694	−	0.569929i	$-0.193029\pi$
$224$	−1.70964	+	2.01919i	−0.114230	+	0.134913i
$225$	−5.62165	−	13.9067i	−0.374777	−	0.927115i
$226$	−1.16668	−	2.02076i	−0.0776067	−	0.134419i
$227$	1.63340	+	6.09593i	0.108413	+	0.404601i	0.998710	−	0.0507784i	$-0.0161702\pi$
$227$	1.63340	+	6.09593i	0.108413	+	0.404601i	−0.890297	+	0.455380i	$0.849504\pi$
$228$	−4.70797	−	0.702525i	−0.311793	−	0.0465258i
$229$	0.820517	−	0.473726i	0.0542213	−	0.0313047i	−0.472644	−	0.881253i	$-0.656700\pi$
$229$	0.820517	−	0.473726i	0.0542213	−	0.0313047i	0.526866	+	0.849949i	$0.323367\pi$
$230$	8.24679	+	12.0026i	0.543777	+	0.791428i
$231$	0.0516828	−	0.790347i	0.00340048	−	0.0520010i
$232$	−0.594521	−	0.594521i	−0.0390322	−	0.0390322i
$233$	−2.22516	+	8.30443i	−0.145775	+	0.544041i	0.853944	+	0.520364i	$0.174204\pi$
$233$	−2.22516	+	8.30443i	−0.145775	+	0.544041i	−0.999720	+	0.0236767i	$0.992463\pi$
$234$	−9.42549	+	2.18053i	−0.616164	+	0.142546i
$235$	2.29679	−	2.68847i	0.149826	−	0.175376i
$236$	8.43207	−	4.86826i	0.548881	−	0.316897i
$237$	−22.3665	+	8.81623i	−1.45286	+	0.572676i
$238$	−7.48955	+	5.19485i	−0.485476	+	0.336732i
$239$	1.10308			0.0713521			0.0356760	−	0.999363i	$-0.488642\pi$
$239$	1.10308			0.0713521			0.0356760	+	0.999363i	$0.488642\pi$
$240$	3.86357	+	0.269811i	0.249393	+	0.0174162i
$241$	−7.44133	+	12.8888i	−0.479338	+	0.830238i	−0.999719	−	0.0236964i	$-0.992456\pi$
$241$	−7.44133	+	12.8888i	−0.479338	+	0.830238i	0.520381	+	0.853934i	$0.325790\pi$
$242$	−2.83928	−	10.5963i	−0.182516	−	0.681158i
$243$	−11.5049	−	10.5184i	−0.738040	−	0.674757i
$244$			12.0710i			0.772769i
$245$	−10.8699	−	11.2625i	−0.694453	−	0.719538i
$246$	−6.97988	+	16.0625i	−0.445021	+	1.02411i
$247$	−2.29380	+	8.56059i	−0.145951	+	0.544697i
$248$	7.85703	−	2.10528i	0.498922	−	0.133686i
$249$	7.77261	+	10.4991i	0.492569	+	0.665355i
$250$	11.1764	+	0.297161i	0.706857	+	0.0187941i
$251$			21.0507i			1.32871i	0.747419	+	0.664353i	$0.231293\pi$
$251$			21.0507i			1.32871i	−0.747419	+	0.664353i	$0.768707\pi$
$252$	−1.68119	+	7.75716i	−0.105905	+	0.488655i
$253$	0.795933	−	0.795933i	0.0500399	−	0.0500399i
$254$	1.51183	+	2.61856i	0.0948606	+	0.164303i
$255$	12.6162	+	4.34281i	0.790056	+	0.271957i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	1.77969	+	0.476866i	0.111014	+	0.0297461i	0.313898	−	0.949457i	$-0.398365\pi$
$257$	1.77969	+	0.476866i	0.111014	+	0.0297461i	−0.202884	+	0.979203i	$0.565032\pi$
$258$	7.28379	−	2.87106i	0.453469	−	0.178744i
$259$	−15.2906	+	5.48860i	−0.950114	+	0.341045i
$260$	1.31503	−	7.08997i	0.0815548	−	0.439701i
$261$	−2.41246	−	0.736371i	−0.149327	−	0.0455802i
$262$	−5.80749	+	1.55611i	−0.358788	+	0.0961370i
$263$	−18.6556	+	4.99875i	−1.15035	+	0.308236i	−0.783106	−	0.621888i	$-0.786366\pi$
$263$	−18.6556	+	4.99875i	−1.15035	+	0.308236i	−0.367246	+	0.930124i	$0.619699\pi$
$264$	−0.0339558	−	0.297429i	−0.00208983	−	0.0183055i
$265$	−4.31609	+	23.2701i	−0.265135	+	1.42947i
$266$	5.54924	+	4.69850i	0.340246	+	0.288083i
$267$	−8.92609	−	22.6452i	−0.546268	−	1.38586i
$268$	1.24153	+	0.332666i	0.0758383	+	0.0203208i
$269$	−10.7688	+	18.6522i	−0.656588	+	1.13724i	0.324905	+	0.945747i	$0.394668\pi$
$269$	−10.7688	+	18.6522i	−0.656588	+	1.13724i	−0.981493	+	0.191497i	$0.938666\pi$
$270$	10.6119	−	4.73162i	0.645818	−	0.287957i
$271$	7.65045	+	13.2510i	0.464732	+	0.804939i	0.999189	−	0.0402561i	$-0.0128174\pi$
$271$	7.65045	+	13.2510i	0.464732	+	0.804939i	−0.534458	+	0.845195i	$0.679484\pi$
$272$	−2.43604	+	2.43604i	−0.147706	+	0.147706i
$273$	13.9944	+	4.74811i	0.846979	+	0.287369i
$274$			9.67660i			0.584585i
$275$	−0.134959	−	0.853578i	−0.00813833	−	0.0514727i
$276$	−9.06616	+	6.71178i	−0.545719	+	0.404001i
$277$	17.6004	−	4.71602i	1.05751	−	0.283358i	0.312156	−	0.950031i	$-0.398949\pi$
$277$	17.6004	−	4.71602i	1.05751	−	0.283358i	0.745351	+	0.666673i	$0.232282\pi$
$278$	2.62949	−	9.81338i	0.157706	−	0.588567i
$279$	17.8394	−	16.6506i	1.06802	−	0.996844i
$280$	−4.80061	−	3.45747i	−0.286891	−	0.206624i
$281$			0.120405i			0.00718275i	0.999994	+	0.00359138i	$0.00114317\pi$
$281$			0.120405i			0.00718275i	−0.999994	+	0.00359138i	$0.998857\pi$
$282$	2.14391	+	1.70455i	0.127668	+	0.101505i
$283$	−1.24800	−	4.65758i	−0.0741857	−	0.276865i	0.918862	−	0.394580i	$-0.129110\pi$
$283$	−1.24800	−	4.65758i	−0.0741857	−	0.276865i	−0.993047	+	0.117715i	$0.962443\pi$
$284$	−4.50454	+	7.80210i	−0.267295	+	0.462969i
$285$	0.741507	−	10.6180i	0.0439231	−	0.628959i
$286$	−0.557364			−0.0329576
$287$	21.9821	−	15.2471i	1.29757	−	0.900008i
$288$	−0.103345	+	2.99822i	−0.00608964	+	0.176672i
$289$	4.44397	−	2.56573i	0.261410	−	0.150925i
$290$	1.22118	−	1.42943i	0.0717101	−	0.0839390i
$291$	9.23686	+	12.4770i	0.541474	+	0.731415i
$292$	0.0189461	−	0.0707076i	0.00110873	−	0.00413785i
$293$	6.50068	+	6.50068i	0.379774	+	0.379774i	0.871020	−	0.491247i	$-0.163459\pi$
$293$	6.50068	+	6.50068i	0.379774	+	0.379774i	−0.491247	+	0.871020i	$0.663459\pi$
$294$	8.42163	−	8.72216i	0.491160	−	0.508687i
$295$	12.3291	+	17.9441i	0.717829	+	1.04475i
$296$	−5.31771	+	3.07018i	−0.309086	+	0.178451i
$297$	−0.509181	−	0.739789i	−0.0295457	−	0.0429269i
$298$	1.37679	+	5.13823i	0.0797550	+	0.297650i
$299$	10.5010	+	18.1883i	0.607289	+	1.05186i
$300$	0.0752081	+	8.65993i	0.00434214	+	0.499981i
$301$	−11.7683	−	2.12897i	−0.678314	−	0.122712i
$302$	−11.0350	+	11.0350i	−0.634996	+	0.634996i
$303$	13.4230	+	10.6722i	0.771133	+	0.613103i
$304$	2.38005	+	1.37412i	0.136505	+	0.0788113i
$305$	−26.9087	+	2.11414i	−1.54079	+	0.121055i
$306$	−3.01726	+	9.88499i	−0.172486	+	0.565087i
$307$	−3.46539	−	3.46539i	−0.197780	−	0.197780i	0.601268	−	0.799048i	$-0.294663\pi$
$307$	−3.46539	−	3.46539i	−0.197780	−	0.197780i	−0.799048	+	0.601268i	$0.794663\pi$
$308$	−0.195093	+	0.413576i	−0.0111165	+	0.0235657i
$309$	−14.3100	−	6.21833i	−0.814068	−	0.353748i
$310$	6.06919	+	17.1462i	0.344707	+	0.973836i
$311$	−17.5784	−	10.1489i	−0.996778	−	0.575490i	−0.0894849	−	0.995988i	$-0.528522\pi$
$311$	−17.5784	−	10.1489i	−0.996778	−	0.575490i	−0.907294	+	0.420498i	$0.861855\pi$
$312$	5.52437	+	0.824348i	0.312756	+	0.0466695i
$313$	11.8085	+	3.16408i	0.667455	+	0.178844i	0.576608	−	0.817021i	$-0.304376\pi$
$313$	11.8085	+	3.16408i	0.667455	+	0.178844i	0.0908470	+	0.995865i	$0.471043\pi$
$314$	9.06492			0.511563
$315$	−17.5867	−	2.38911i	−0.990899	−	0.134611i
$316$	13.8803			0.780826
$317$	26.1124	+	6.99681i	1.46662	+	0.392980i	0.901771	−	0.432214i	$-0.142268\pi$
$317$	26.1124	+	6.99681i	1.46662	+	0.392980i	0.564850	+	0.825194i	$0.308934\pi$
$318$	−18.1316	−	2.70561i	−1.01677	−	0.151723i
$319$	−0.125848	−	0.0726586i	−0.00704615	−	0.00406810i
$320$	−2.01811	−	0.962923i	−0.112816	−	0.0538290i
$321$	9.65655	+	4.19619i	0.538976	+	0.234209i
$322$	17.1717	−	1.42556i	0.956944	−	0.0794432i
$323$	6.69483	+	6.69483i	0.372510	+	0.372510i
$324$	3.95264	+	8.08558i	0.219591	+	0.449199i
$325$	16.0353	+	1.68972i	0.889477	+	0.0937288i
$326$	−19.0655	−	11.0075i	−1.05594	−	0.609647i
$327$	21.2936	+	16.9299i	1.17754	+	0.936224i
$328$	7.14987	−	7.14987i	0.394786	−	0.394786i
$329$	−1.41349	−	3.93782i	−0.0779280	−	0.217099i
$330$	0.657082	−	0.127786i	0.0361711	−	0.00703440i
$331$	2.95741	+	5.12239i	0.162554	+	0.281552i	0.935784	−	0.352574i	$-0.114693\pi$
$331$	2.95741	+	5.12239i	0.162554	+	0.281552i	−0.773230	+	0.634126i	$0.781360\pi$
$332$	−1.95201	−	7.28501i	−0.107131	−	0.399817i
$333$	−9.75463	+	15.6264i	−0.534551	+	0.856320i
$334$	−7.65154	+	4.41762i	−0.418674	+	0.241721i
$335$	−0.524137	+	2.82587i	−0.0286366	+	0.154394i
$336$	2.54537	−	3.81066i	0.138861	−	0.207888i
$337$	−8.82126	−	8.82126i	−0.480524	−	0.480524i	0.424775	−	0.905299i	$-0.360353\pi$
$337$	−8.82126	−	8.82126i	−0.480524	−	0.480524i	−0.905299	+	0.424775i	$0.860353\pi$
$338$	−0.673083	+	2.51198i	−0.0366109	+	0.136634i
$339$	2.40472	+	3.24826i	0.130606	+	0.176421i
$340$	−5.85706	−	5.00376i	−0.317644	−	0.271367i
$341$	1.21753	−	0.702942i	0.0659330	−	0.0380664i
$342$	8.23984	+	0.284016i	0.445560	+	0.0153578i
$343$	−17.9514	+	4.55476i	−0.969287	+	0.245934i
$344$	−4.52020			−0.243713
$345$	−16.5497	−	19.0348i	−0.891008	−	1.02480i
$346$	10.0779	−	17.4554i	0.541790	−	0.938407i
$347$	−2.37362	−	8.85847i	−0.127423	−	0.475547i	0.872492	−	0.488629i	$-0.162503\pi$
$347$	−2.37362	−	8.85847i	−0.127423	−	0.475547i	−0.999914	+	0.0130812i	$0.995836\pi$
$348$	1.13990	+	0.906293i	0.0611048	+	0.0485824i
$349$			17.5265i			0.938173i	0.883152	+	0.469086i	$0.155417\pi$
$349$			17.5265i			0.938173i	−0.883152	+	0.469086i	$0.844583\pi$
$350$	6.86661	−	11.3071i	0.367036	−	0.604388i
$351$	15.7917	−	5.60417i	0.842898	−	0.299128i
$352$	−0.0447333	+	0.166947i	−0.00238429	+	0.00889830i
$353$	1.24625	−	0.333932i	0.0663312	−	0.0177734i	−0.225501	−	0.974243i	$-0.572402\pi$
$353$	1.24625	−	0.333932i	0.0663312	−	0.0177734i	0.291832	+	0.956470i	$0.405735\pi$
$354$	−13.5541	+	10.0342i	−0.720392	+	0.533314i
$355$	−18.1814	−	8.67505i	−0.964966	−	0.460424i
$356$			14.0532i			0.744820i
$357$	11.8680	−	10.4111i	0.628120	−	0.551013i
$358$	0.117642	−	0.117642i	0.00621755	−	0.00621755i
$359$	−8.44776	−	14.6320i	−0.445856	−	0.772245i	0.552255	−	0.833675i	$-0.313767\pi$
$359$	−8.44776	−	14.6320i	−0.445856	−	0.772245i	−0.998111	+	0.0614298i	$0.980434\pi$
$360$	−6.70173	+	0.294736i	−0.353212	+	0.0155339i
$361$	−5.72357	+	9.91352i	−0.301241	+	0.521764i
$362$	−0.606645	−	0.162550i	−0.0318846	−	0.00854344i
$363$	6.96781	+	17.6771i	0.365715	+	0.927808i
$364$	−6.51152	−	5.51325i	−0.341296	−	0.288973i
$365$	0.160940	+	0.0298507i	0.00842396	+	0.00156246i
$366$	−2.37150	−	20.7727i	−0.123961	−	1.08581i
$367$	−31.9548	+	8.56227i	−1.66803	+	0.446947i	−0.964578	−	0.263797i	$-0.915025\pi$
$367$	−31.9548	+	8.56227i	−1.66803	+	0.446947i	−0.703451	+	0.710744i	$0.748358\pi$
$368$	6.29072	−	1.68559i	0.327927	−	0.0878677i
$369$	8.85580	−	29.0129i	0.461014	−	1.51035i
$370$	−7.77539	−	11.3165i	−0.404223	−	0.588318i
$371$	21.3716	+	18.0951i	1.10956	+	0.939453i
$372$	−13.1073	+	5.16654i	−0.679584	+	0.267872i
$373$	−6.44654	−	1.72735i	−0.333789	−	0.0894386i	0.0880318	−	0.996118i	$-0.471942\pi$
$373$	−6.44654	−	1.72735i	−0.333789	−	0.0894386i	−0.421821	+	0.906679i	$0.638609\pi$
$374$	−0.297717	+	0.515661i	−0.0153946	+	0.0266642i
$375$	−19.2915	+	1.68436i	−0.996210	+	0.0869801i
$376$	−0.790668	−	1.36948i	−0.0407756	−	0.0706254i
$377$	1.91722	−	1.91722i	0.0987417	−	0.0987417i
$378$	1.36912	−	13.6794i	0.0704202	−	0.703592i
$379$			16.1481i			0.829472i	0.909942	+	0.414736i	$0.136126\pi$
$379$			16.1481i			0.829472i	−0.909942	+	0.414736i	$0.863874\pi$
$380$	−2.64635	+	5.54627i	−0.135755	+	0.284518i
$381$	−3.11611	−	4.20920i	−0.159643	−	0.215644i
$382$	−0.904932	+	0.242476i	−0.0463004	+	0.0124061i
$383$	−4.19914	+	15.6714i	−0.214566	+	0.800771i	0.771753	+	0.635922i	$0.219380\pi$
$383$	−4.19914	+	15.6714i	−0.214566	+	0.800771i	−0.986319	+	0.164849i	$0.947286\pi$
$384$	0.690295	−	1.58855i	0.0352265	−	0.0810654i
$385$	−0.956112	−	0.362467i	−0.0487280	−	0.0184731i
$386$		−	24.5135i		−	1.24771i
$387$	−11.9704	+	6.37172i	−0.608491	+	0.323893i
$388$	−2.31974	−	8.65739i	−0.117767	−	0.439513i
$389$	11.9713	−	20.7349i	0.606970	−	1.05130i	−0.384766	−	0.923014i	$-0.625718\pi$
$389$	11.9713	−	20.7349i	0.606970	−	1.05130i	0.991737	−	0.128290i	$-0.0409487\pi$
$390$	−0.870090	+	12.4593i	−0.0440587	+	0.630901i
$391$	22.4365			1.13466
$392$	−6.37017	+	2.90189i	−0.321742	+	0.146568i
$393$	9.68824	−	3.81882i	0.488707	−	0.192634i
$394$	3.74143	−	2.16011i	0.188490	−	0.108825i
$395$	2.43101	+	30.9419i	0.122317	+	1.55686i
$396$	0.116867	+	0.505167i	0.00587280	+	0.0253856i
$397$	6.04487	−	22.5598i	0.303383	−	1.13224i	−0.630945	−	0.775828i	$-0.717333\pi$
$397$	6.04487	−	22.5598i	0.303383	−	1.13224i	0.934328	−	0.356414i	$-0.116001\pi$
$398$	−6.60236	−	6.60236i	−0.330946	−	0.330946i
$399$	−10.4726	−	6.99530i	−0.524286	−	0.350203i
$400$	1.79309	−	4.66742i	0.0896545	−	0.233371i
$401$	−15.6286	+	9.02316i	−0.780454	+	0.450595i	−0.836591	−	0.547828i	$-0.815455\pi$
$401$	−15.6286	+	9.02316i	−0.780454	+	0.450595i	0.0561374	+	0.998423i	$0.482122\pi$
$402$	−2.20187	−	0.328563i	−0.109819	−	0.0163872i
$403$	6.78914	+	25.3374i	0.338191	+	1.26215i
$404$	−4.95037	−	8.57430i	−0.246290	−	0.426587i
$405$	−17.3321	+	10.2273i	−0.861239	+	0.508201i
$406$	−0.751535	−	2.09370i	−0.0372981	−	0.103908i
$407$	−0.750436	+	0.750436i	−0.0371977	+	0.0371977i
$408$	3.71352	−	4.67070i	0.183847	−	0.231234i
$409$	8.76716	+	5.06172i	0.433508	+	0.250286i	0.700840	−	0.713318i	$-0.252809\pi$
$409$	8.76716	+	5.06172i	0.433508	+	0.250286i	−0.267332	+	0.963605i	$0.586142\pi$
$410$	17.1907	+	14.6862i	0.848989	+	0.725302i
$411$	−1.90109	−	16.6522i	−0.0937737	−	0.821392i
$412$	6.36977	+	6.36977i	0.313816	+	0.313816i
$413$	25.6721	−	2.13124i	1.26324	−	0.104871i
$414$	14.2831	−	13.3313i	0.701976	−	0.655196i
$415$	15.8978	−	5.62733i	0.780395	−	0.276235i
$416$	−2.79277	−	1.61241i	−0.136927	−	0.0790547i
$417$	−2.59705	+	17.4042i	−0.127178	+	0.852286i
$418$	0.458811	+	0.122938i	0.0224412	+	0.00601310i
$419$	−6.63936			−0.324354			−0.162177	−	0.986762i	$-0.551852\pi$
$419$	−6.63936			−0.324354			−0.162177	+	0.986762i	$0.551852\pi$
$420$	8.94051	+	5.00673i	0.436252	+	0.244303i
$421$	8.33324			0.406137			0.203069	−	0.979165i	$-0.434909\pi$
$421$	8.33324			0.406137			0.203069	+	0.979165i	$0.434909\pi$
$422$	−17.1679	−	4.60012i	−0.835720	−	0.223931i
$423$	−4.02428	−	2.51212i	−0.195667	−	0.122144i
$424$	9.16619	+	5.29210i	0.445150	+	0.257007i
$425$	10.1286	−	13.9329i	0.491307	−	0.675845i
$426$	6.21893	−	14.3114i	0.301308	−	0.693389i
$427$	−13.6255	+	28.8845i	−0.659384	+	1.39782i
$428$	−4.29839	−	4.29839i	−0.207770	−	0.207770i
$429$	0.959153	−	0.109501i	0.0463083	−	0.00528676i
$430$	−0.791673	−	10.0764i	−0.0381779	−	0.485928i
$431$	19.2198	+	11.0966i	0.925787	+	0.534503i	0.885477	−	0.464684i	$-0.153832\pi$
$431$	19.2198	+	11.0966i	0.925787	+	0.534503i	0.0403101	+	0.999187i	$0.487165\pi$
$432$	−0.411194	−	5.17986i	−0.0197836	−	0.249216i
$433$	8.46111	−	8.46111i	0.406615	−	0.406615i	−0.473941	−	0.880556i	$-0.657169\pi$
$433$	8.46111	−	8.46111i	0.406615	−	0.406615i	0.880556	+	0.473941i	$0.157169\pi$
$434$	21.1773	+	3.83113i	1.01654	+	0.183900i
$435$	−1.82067	+	2.69978i	−0.0872942	+	0.129445i
$436$	−7.85302	−	13.6018i	−0.376092	−	0.651410i
$437$	−4.63243	−	17.2884i	−0.221599	−	0.827019i
$438$	−0.0187124	+	0.125401i	−0.000894111	+	0.00599189i
$439$	−6.47188	+	3.73654i	−0.308886	+	0.178335i	−0.646428	−	0.762975i	$-0.723738\pi$
$439$	−6.47188	+	3.73654i	−0.308886	+	0.178335i	0.337542	+	0.941311i	$0.390405\pi$
$440$	−0.379993	−	0.0704801i	−0.0181154	−	0.00336001i
$441$	−12.7790	+	16.6643i	−0.608523	+	0.793536i
$442$	−7.85576	−	7.85576i	−0.373660	−	0.373660i
$443$	−0.830863	+	3.10082i	−0.0394755	+	0.147325i	−0.982851	−	0.184403i	$-0.940965\pi$
$443$	−0.830863	+	3.10082i	−0.0394755	+	0.147325i	0.943375	+	0.331728i	$0.107631\pi$
$444$	8.54793	−	6.32812i	0.405667	−	0.300319i
$445$	−31.3275	+	2.46130i	−1.48506	+	0.116677i
$446$	25.4519	−	14.6946i	1.20518	−	0.695811i
$447$	−3.37874	−	8.57176i	−0.159809	−	0.405430i
$448$	−2.17399	+	1.50791i	−0.102711	+	0.0712418i
$449$	−28.3899			−1.33980			−0.669901	−	0.742451i	$-0.733663\pi$
$449$	−28.3899			−1.33980			−0.669901	+	0.742451i	$0.733663\pi$
$450$	−1.83077	−	14.8879i	−0.0863034	−	0.701820i
$451$	0.873812	−	1.51349i	0.0411462	−	0.0712673i
$452$	−0.603920	−	2.25386i	−0.0284060	−	0.106013i
$453$	16.8219	−	21.1579i	0.790364	−	0.994084i
$454$			6.31097i			0.296189i
$455$	11.1497	−	15.4811i	0.522706	−	0.725764i
$456$	−4.36573	−	1.89710i	−0.204444	−	0.0888398i
$457$	0.586692	−	2.18957i	0.0274443	−	0.102424i	−0.950845	−	0.309667i	$-0.899782\pi$
$457$	0.586692	−	2.18957i	0.0274443	−	0.102424i	0.978289	+	0.207243i	$0.0664492\pi$
$458$	0.915168	−	0.245219i	0.0427630	−	0.0114583i
$459$	3.25030	−	17.6036i	0.151711	−	0.821665i
$460$	4.85929	+	13.7281i	0.226565	+	0.640074i
$461$			12.6234i			0.587928i	0.955816	+	0.293964i	$0.0949746\pi$
$461$			12.6234i			0.587928i	−0.955816	+	0.293964i	$0.905025\pi$
$462$	0.254479	−	0.750040i	0.0118394	−	0.0348950i
$463$	−8.56001	+	8.56001i	−0.397817	+	0.397817i	−0.877463	−	0.479645i	$-0.840765\pi$
$463$	−8.56001	+	8.56001i	−0.397817	+	0.397817i	0.479645	+	0.877463i	$0.340765\pi$
$464$	−0.420390	−	0.728136i	−0.0195161	−	0.0338029i
$465$	−13.8129	−	28.3140i	−0.640556	−	1.31303i
$466$	−4.29869	+	7.44555i	−0.199133	+	0.344908i
$467$	−37.4312	−	10.0297i	−1.73211	−	0.464118i	−0.751443	−	0.659797i	$-0.770642\pi$
$467$	−37.4312	−	10.0297i	−1.73211	−	0.464118i	−0.980668	+	0.195680i	$0.937309\pi$
$468$	−9.66869	−	0.333267i	−0.446935	−	0.0154053i
$469$	2.59532	+	2.19743i	0.119841	+	0.101468i
$470$	2.91436	−	2.00241i	0.134429	−	0.0923642i
$471$	−15.5996	+	1.78092i	−0.718790	+	0.0820602i
$472$	9.40475	−	2.52000i	0.432889	−	0.115992i
$473$	−0.754634	+	0.202203i	−0.0346981	+	0.00929733i
$474$	−23.8862	+	2.72695i	−1.09713	+	0.125253i
$475$	−12.8272	−	4.92785i	−0.588553	−	0.226105i
$476$	−8.57888	+	3.07940i	−0.393212	+	0.141144i
$477$	31.7338	+	1.09382i	1.45299	+	0.0500826i
$478$	1.06549	+	0.285497i	0.0487344	+	0.0130583i
$479$	10.0175	−	17.3509i	0.457713	−	0.792783i	−0.541126	−	0.840941i	$-0.682002\pi$
$479$	10.0175	−	17.3509i	0.457713	−	0.792783i	0.998840	+	0.0481586i	$0.0153353\pi$
$480$	3.66209	+	1.26058i	0.167151	+	0.0575375i
$481$	−9.90075	−	17.1486i	−0.451435	−	0.781909i
$482$	−10.5236	+	10.5236i	−0.479338	+	0.479338i
$483$	−29.2703	+	5.82680i	−1.33185	+	0.265129i
$484$		−	10.9701i		−	0.498642i
$485$	18.8928	−	6.68743i	0.857876	−	0.303661i
$486$	−8.39051	−	13.1377i	−0.380601	−	0.595939i
$487$	21.2750	−	5.70061i	0.964060	−	0.258319i	0.257742	−	0.966214i	$-0.417021\pi$
$487$	21.2750	−	5.70061i	0.964060	−	0.258319i	0.706318	+	0.707895i	$0.250355\pi$
$488$	−3.12422	+	11.6597i	−0.141427	+	0.527811i
$489$	34.9718	+	15.1968i	1.58148	+	0.687223i
$490$	−7.58457	−	13.6921i	−0.342636	−	0.618547i
$491$		−	34.1772i		−	1.54240i	−0.636595	−	0.771198i	$-0.719658\pi$
$491$		−	34.1772i		−	1.54240i	0.636595	−	0.771198i	$-0.280342\pi$
$492$	−10.8993	+	13.7087i	−0.491380	+	0.618036i
$493$	−0.749682	−	2.79785i	−0.0337640	−	0.126009i
$494$	−4.43129	+	7.67521i	−0.199373	+	0.345324i
$495$	−1.10565	+	0.348996i	−0.0496952	+	0.0156862i
$496$	8.13419			0.365236
$497$	−19.5856	+	13.5848i	−0.878536	+	0.609364i
$498$	4.79039	+	12.1531i	0.214663	+	0.544592i
$499$	5.61952	−	3.24443i	0.251564	−	0.145241i	−0.368916	−	0.929463i	$-0.620271\pi$
$499$	5.61952	−	3.24443i	0.251564	−	0.145241i	0.620480	+	0.784222i	$0.286938\pi$
$500$	10.7187	+	3.17970i	0.479353	+	0.142200i
$501$	12.2994	−	9.10540i	0.549498	−	0.406799i
$502$	−5.44831	+	20.3334i	−0.243170	+	0.907523i
$503$	−15.7838	−	15.7838i	−0.703766	−	0.703766i	0.261451	−	0.965217i	$-0.415799\pi$
$503$	−15.7838	−	15.7838i	−0.703766	−	0.703766i	−0.965217	+	0.261451i	$0.915799\pi$
$504$	−3.63161	+	7.05772i	−0.161765	+	0.314376i
$505$	18.2468	−	12.5371i	0.811972	−	0.557892i
$506$	0.974815	−	0.562810i	0.0433358	−	0.0250199i
$507$	0.664781	−	4.45504i	0.0295240	−	0.197855i
$508$	0.782580	+	2.92063i	0.0347214	+	0.129582i
$509$	1.27596	+	2.21004i	0.0565561	+	0.0979581i	0.892917	−	0.450221i	$-0.148655\pi$
$509$	1.27596	+	2.21004i	0.0565561	+	0.0979581i	−0.836361	+	0.548179i	$0.815321\pi$
$510$	11.0623	+	7.46014i	0.489847	+	0.330341i
$511$	0.125149	−	0.147809i	0.00553625	−	0.00653868i
$512$	−0.707107	+	0.707107i	−0.0312500	+	0.0312500i
$513$	−14.2355	+	1.13006i	−0.628513	+	0.0498935i
$514$	1.59563	+	0.921235i	0.0703801	+	0.0406339i
$515$	−13.0839	+	15.3151i	−0.576545	+	0.674864i
$516$	7.77869	−	0.888049i	0.342438	−	0.0390942i
$517$	−0.193261	−	0.193261i	−0.00849960	−	0.00849960i
$518$	−16.1902	+	1.34407i	−0.711355	+	0.0590550i
$519$	−13.9134	+	32.0184i	−0.610731	+	1.40545i
$520$	3.10524	−	6.50803i	0.136174	−	0.285396i
$521$	11.9593	+	6.90469i	0.523945	+	0.302500i	0.738547	−	0.674202i	$-0.235512\pi$
$521$	11.9593	+	6.90469i	0.523945	+	0.302500i	−0.214602	+	0.976702i	$0.568845\pi$
$522$	−2.13967	−	1.33567i	−0.0936507	−	0.0584607i
$523$	0.896548	+	0.240229i	0.0392033	+	0.0105045i	0.278367	−	0.960475i	$-0.410207\pi$
$523$	0.896548	+	0.240229i	0.0392033	+	0.0105045i	−0.239164	+	0.970979i	$0.576873\pi$
$524$	−6.01236			−0.262651
$525$	−9.59515	+	20.8070i	−0.418767	+	0.908094i
$526$	−19.3137			−0.842116
$527$	27.0681	+	7.25287i	1.17910	+	0.315940i
$528$	0.0441815	−	0.296083i	0.00192275	−	0.0128854i
$529$	−16.8134	−	9.70721i	−0.731017	−	0.422053i
$530$	−10.1918	+	21.3601i	−0.442702	+	0.927825i
$531$	21.3535	−	19.9305i	0.926663	−	0.864910i
$532$	4.14409	+	5.97465i	0.179669	+	0.259034i
$533$	23.0570	+	23.0570i	0.998709	+	0.998709i
$534$	−2.76093	−	24.1838i	−0.119477	−	1.04654i
$535$	8.82914	−	10.3348i	0.381717	−	0.446812i
$536$	1.11312	+	0.642662i	0.0480796	+	0.0277588i
$537$	−0.179334	+	0.225558i	−0.00773883	+	0.00973356i
$538$	−15.2294	+	15.2294i	−0.656588	+	0.656588i
$539$	−0.933669	+	0.769421i	−0.0402160	+	0.0331413i
$540$	11.4749	−	1.82384i	0.493802	−	0.0784855i
$541$	−14.3269	−	24.8148i	−0.615960	−	1.06687i	−0.990215	−	0.139548i	$-0.955435\pi$
$541$	−14.3269	−	24.8148i	−0.615960	−	1.06687i	0.374256	−	0.927326i	$-0.377898\pi$
$542$	3.96017	+	14.7795i	0.170104	+	0.634836i
$543$	1.07589	+	0.160545i	0.0461710	+	0.00688965i
$544$	−2.98352	+	1.72254i	−0.127918	+	0.0738532i
$545$	28.9458	−	19.8882i	1.23990	−	0.851916i
$546$	12.2886	+	8.20834i	0.525905	+	0.351284i
$547$	−5.24672	−	5.24672i	−0.224333	−	0.224333i	0.585987	−	0.810320i	$-0.300707\pi$
$547$	−5.24672	−	5.24672i	−0.224333	−	0.224333i	−0.810320	+	0.585987i	$0.800707\pi$
$548$	−2.50449	+	9.34687i	−0.106986	+	0.399279i
$549$	8.16211	+	35.2813i	0.348351	+	1.50577i
$550$	0.0905619	−	0.859423i	0.00386157	−	0.0366459i
$551$	−2.00110	+	1.15533i	−0.0852496	+	0.0492189i
$552$	−10.4944	+	4.13658i	−0.446670	+	0.176065i
$553$	33.2138	+	15.6677i	1.41239	+	0.666259i
$554$	18.2213			0.774149
$555$	15.6037	+	17.9467i	0.662341	+	0.761795i
$556$	5.07978	−	8.79844i	0.215431	−	0.373137i
$557$	−2.57858	−	9.62338i	−0.109258	−	0.407756i	0.889536	−	0.456866i	$-0.151028\pi$
$557$	−2.57858	−	9.62338i	−0.109258	−	0.407756i	−0.998793	+	0.0491102i	$0.984361\pi$
$558$	21.5410	−	11.4660i	0.911904	−	0.485397i
$559$		−	14.5768i		−	0.616532i
$560$	−3.74218	−	4.58215i	−0.158136	−	0.193631i
$561$	0.411025	−	0.945877i	0.0173535	−	0.0399350i
$562$	−0.0311631	+	0.116302i	−0.00131453	+	0.00490591i
$563$	−23.4051	+	6.27139i	−0.986409	+	0.264307i	−0.715741	−	0.698366i	$-0.753911\pi$
$563$	−23.4051	+	6.27139i	−0.986409	+	0.264307i	−0.270667	+	0.962673i	$0.587244\pi$
$564$	1.62969	+	2.20136i	0.0686223	+	0.0926939i
$565$	4.91853	−	1.74100i	0.206924	−	0.0732445i
$566$		−	4.82189i		−	0.202679i
$567$	0.331394	+	23.8095i	0.0139172	+	0.999903i
$568$	−6.37038	+	6.37038i	−0.267295	+	0.267295i
$569$	−8.36329	−	14.4856i	−0.350607	−	0.607270i	0.635749	−	0.771896i	$-0.280691\pi$
$569$	−8.36329	−	14.4856i	−0.350607	−	0.607270i	−0.986356	+	0.164627i	$0.947358\pi$
$570$	3.46439	−	10.0643i	0.145107	−	0.421548i
$571$	11.2493	−	19.4844i	0.470770	−	0.815397i	−0.528671	−	0.848827i	$-0.677310\pi$
$571$	11.2493	−	19.4844i	0.470770	−	0.815397i	0.999441	+	0.0334297i	$0.0106430\pi$
$572$	−0.538372	−	0.144256i	−0.0225105	−	0.00603167i
$573$	1.50964	−	0.595055i	0.0630659	−	0.0248588i
$574$	25.1794	−	9.03817i	1.05097	−	0.377246i
$575$	−29.7515	+	13.2367i	−1.24072	+	0.552007i
$576$	−0.875819	+	2.86931i	−0.0364925	+	0.119555i
$577$	−42.9101	+	11.4977i	−1.78637	+	0.478656i	−0.991721	−	0.128413i	$-0.959012\pi$
$577$	−42.9101	+	11.4977i	−1.78637	+	0.478656i	−0.794649	+	0.607069i	$0.792345\pi$
$578$	4.95660	−	1.32812i	0.206167	−	0.0552424i
$579$	4.81599	+	42.1847i	0.200146	+	1.75314i
$580$	1.54953	−	1.06466i	0.0643408	−	0.0442075i
$581$	3.55221	−	19.6355i	0.147370	−	0.814619i
$582$	5.69283	+	14.4425i	0.235975	+	0.598662i
$583$	1.76700	+	0.473467i	0.0731817	+	0.0196090i
$584$	0.0366010	−	0.0633947i	0.00151456	−	0.00262329i
$585$	−0.950468	−	21.6118i	−0.0392970	−	0.893538i
$586$	4.59667	+	7.96167i	0.189887	+	0.328894i
$587$	−0.955230	+	0.955230i	−0.0394266	+	0.0394266i	−0.726545	−	0.687119i	$-0.758875\pi$
$587$	−0.955230	+	0.955230i	−0.0394266	+	0.0394266i	0.687119	+	0.726545i	$0.258875\pi$
$588$	10.3921	−	6.24528i	0.428564	−	0.257551i
$589$		−	22.3548i		−	0.921112i
$590$	7.26473	+	20.5237i	0.299084	+	0.844947i
$591$	−6.01414	+	4.45233i	−0.247389	+	0.183144i
$592$	−5.93113	+	1.58924i	−0.243768	+	0.0653175i
$593$	−6.65439	+	24.8345i	−0.273263	+	1.01983i	0.683733	+	0.729732i	$0.260355\pi$
$593$	−6.65439	+	24.8345i	−0.273263	+	1.01983i	−0.956996	+	0.290100i	$0.906312\pi$
$594$	−0.300360	−	0.846367i	−0.0123239	−	0.0347269i
$595$	−8.36711	−	18.5847i	−0.343018	−	0.761898i
$596$			5.31949i			0.217895i
$597$	12.6589	+	10.0647i	0.518095	+	0.411921i
$598$	5.43572	+	20.2864i	0.222283	+	0.829572i
$599$	20.7500	−	35.9400i	0.847821	−	1.46847i	−0.0353276	−	0.999376i	$-0.511247\pi$
$599$	20.7500	−	35.9400i	0.847821	−	1.46847i	0.883149	−	0.469093i	$-0.155419\pi$
$600$	−2.16871	+	8.38431i	−0.0885372	+	0.342288i
$601$	6.20524			0.253117			0.126559	−	0.991959i	$-0.459607\pi$
$601$	6.20524			0.253117			0.126559	+	0.991959i	$0.459607\pi$
$602$	−10.8163	−	5.10229i	−0.440839	−	0.207954i
$603$	3.85368	+	0.132831i	0.156934	+	0.00540931i
$604$	−13.5151	+	7.80296i	−0.549922	+	0.317498i
$605$	24.4546	−	1.92132i	0.994221	−	0.0781128i
$606$	10.2035	+	13.7827i	0.414488	+	0.559884i
$607$	7.92700	−	29.5840i	0.321747	−	1.20078i	−0.595795	−	0.803137i	$-0.703163\pi$
$607$	7.92700	−	29.5840i	0.321747	−	1.20078i	0.917542	−	0.397640i	$-0.130171\pi$
$608$	1.94330	+	1.94330i	0.0788113	+	0.0788113i
$609$	1.70463	+	3.45534i	0.0690750	+	0.140017i
$610$	−26.5390	−	4.92240i	−1.07453	−	0.199302i
$611$	4.41630	−	2.54975i	0.178665	−	0.103152i
$612$	−5.47288	+	8.76724i	−0.221228	+	0.354395i
$613$	−1.32432	−	4.94242i	−0.0534887	−	0.199623i	0.934011	−	0.357245i	$-0.116284\pi$
$613$	−1.32432	−	4.94242i	−0.0534887	−	0.199623i	−0.987499	+	0.157622i	$0.949617\pi$
$614$	−2.45040	−	4.24422i	−0.0988900	−	0.171283i
$615$	−32.4683	−	21.8958i	−1.30925	−	0.882925i
$616$	−0.295487	+	0.348990i	−0.0119055	+	0.0140612i
$617$	−1.50283	+	1.50283i	−0.0605015	+	0.0605015i	−0.736710	−	0.676209i	$-0.763622\pi$
$617$	−1.50283	+	1.50283i	−0.0605015	+	0.0605015i	0.676209	+	0.736710i	$0.263622\pi$
$618$	−12.2130	−	9.71015i	−0.491278	−	0.390599i
$619$	26.6491	+	15.3858i	1.07112	+	0.618409i	0.928486	−	0.371367i	$-0.121111\pi$
$619$	26.6491	+	15.3858i	1.07112	+	0.618409i	0.142630	+	0.989776i	$0.454444\pi$
$620$	1.42463	+	18.1327i	0.0572146	+	0.728228i
$621$	−21.9603	+	25.7475i	−0.881237	+	1.03321i
$622$	−14.3527	−	14.3527i	−0.575490	−	0.575490i
$623$	−15.8630	+	33.6277i	−0.635536	+	1.34727i
$624$	5.12278	+	2.22607i	0.205075	+	0.0891142i
$625$	−5.21090	+	24.4509i	−0.208436	+	0.978036i
$626$	10.5872	+	6.11252i	0.423150	+	0.244306i
$627$	−0.813708	−	0.121422i	−0.0324964	−	0.00484912i
$628$	8.75604	+	2.34617i	0.349404	+	0.0936225i
$629$	−21.1540			−0.843466
$630$	−16.3691	−	6.85948i	−0.652161	−	0.273288i
$631$	15.9868			0.636424			0.318212	−	0.948020i	$-0.396918\pi$
$631$	15.9868			0.636424			0.318212	+	0.948020i	$0.396918\pi$
$632$	13.4073	+	3.59248i	0.533314	+	0.142901i
$633$	30.4475	+	4.54338i	1.21018	+	0.180583i
$634$	23.4118	+	13.5168i	0.929800	+	0.536820i
$635$	−6.37360	+	2.25605i	−0.252929	+	0.0895286i
$636$	−16.8136	−	7.30623i	−0.666701	−	0.289711i
$637$	−9.35805	−	20.5426i	−0.370780	−	0.813927i
$638$	−0.102755	−	0.102755i	−0.00406810	−	0.00406810i
$639$	−7.89033	+	25.8499i	−0.312137	+	1.02260i
$640$	−1.70012	−	1.45244i	−0.0672033	−	0.0574126i
$641$	−29.7998	−	17.2049i	−1.17702	−	0.679553i	−0.221697	−	0.975116i	$-0.571159\pi$
$641$	−29.7998	−	17.2049i	−1.17702	−	0.679553i	−0.955323	+	0.295563i	$0.904493\pi$
$642$	8.24145	+	6.55251i	0.325264	+	0.258607i
$643$	−4.05504	+	4.05504i	−0.159915	+	0.159915i	−0.782529	−	0.622614i	$-0.786071\pi$
$643$	−4.05504	+	4.05504i	−0.159915	+	0.159915i	0.622614	+	0.782529i	$0.286071\pi$
$644$	16.9556	+	3.06739i	0.668144	+	0.120872i
$645$	3.34200	+	17.1847i	0.131591	+	0.676647i
$646$	4.73396	+	8.19945i	0.186255	+	0.322603i
$647$	−1.51377	−	5.64948i	−0.0595126	−	0.222104i	0.929765	−	0.368155i	$-0.120010\pi$
$647$	−1.51377	−	5.64948i	−0.0595126	−	0.222104i	−0.989277	+	0.146051i	$0.953344\pi$
$648$	1.72526	+	8.83309i	0.0677746	+	0.346997i
$649$	1.45737	−	0.841411i	0.0572067	−	0.0330283i
$650$	15.0516	+	5.78238i	0.590370	+	0.226804i
$651$	−37.1961	−	2.43235i	−1.45783	−	0.0953312i
$652$	−15.5669	−	15.5669i	−0.609647	−	0.609647i
$653$	1.69456	−	6.32418i	0.0663132	−	0.247484i	−0.924810	−	0.380429i	$-0.875777\pi$
$653$	1.69456	−	6.32418i	0.0663132	−	0.247484i	0.991123	+	0.132944i	$0.0424432\pi$
$654$	16.1863	+	21.8642i	0.632934	+	0.854958i
$655$	−1.05301	−	13.4027i	−0.0411445	−	0.523688i
$656$	8.75677	−	5.05572i	0.341894	−	0.197393i
$657$	0.00756502	−	0.219475i	0.000295140	−	0.00856255i
$658$	−0.346140	−	4.16948i	−0.0134939	−	0.162543i
$659$	32.3314			1.25945			0.629727	−	0.776817i	$-0.283167\pi$
$659$	32.3314			1.25945			0.629727	+	0.776817i	$0.283167\pi$
$660$	0.667766	+	0.0466331i	0.0259927	+	0.00181519i
$661$	16.4102	−	28.4234i	0.638285	−	1.10554i	−0.347524	−	0.937671i	$-0.612978\pi$
$661$	16.4102	−	28.4234i	0.638285	−	1.10554i	0.985809	−	0.167871i	$-0.0536891\pi$
$662$	1.53087	+	5.71328i	0.0594989	+	0.222053i
$663$	15.0621	+	11.9754i	0.584964	+	0.465086i
$664$		−	7.54199i		−	0.292686i
$665$	−12.5929	+	10.2844i	−0.488331	+	0.398813i
$666$	−13.4667	+	12.5692i	−0.521822	+	0.487048i
$667$	−1.41721	+	5.28911i	−0.0548747	+	0.204795i
$668$	−8.53419	+	2.28673i	−0.330198	+	0.0884762i
$669$	−40.9125	+	30.2879i	−1.58177	+	1.17100i
$670$	−1.23767	+	2.59393i	−0.0478152	+	0.100212i
$671$			2.08631i			0.0805412i
$672$	3.44491	−	3.02202i	0.132890	−	0.116577i
$673$	6.60249	−	6.60249i	0.254507	−	0.254507i	−0.568308	−	0.822816i	$-0.692402\pi$
$673$	6.60249	−	6.60249i	0.254507	−	0.254507i	0.822816	+	0.568308i	$0.192402\pi$
$674$	−6.23757	−	10.8038i	−0.240262	−	0.416146i
$675$	6.07543	+	25.2604i	0.233843	+	0.972274i
$676$	−1.30030	+	2.25218i	−0.0500114	+	0.0866224i
$677$	−8.50593	−	2.27916i	−0.326909	−	0.0875951i	0.0916318	−	0.995793i	$-0.470792\pi$
$677$	−8.50593	−	2.27916i	−0.326909	−	0.0875951i	−0.418541	+	0.908198i	$0.637458\pi$
$678$	1.48207	+	3.75996i	0.0569185	+	0.144400i
$679$	4.22139	−	23.3346i	0.162002	−	0.895498i
$680$	−4.36242	−	6.34918i	−0.167291	−	0.243480i
$681$	−1.23987	−	10.8604i	−0.0475118	−	0.416171i
$682$	1.35798	−	0.363869i	0.0519997	−	0.0139333i
$683$	34.4132	−	9.22099i	1.31678	−	0.352831i	0.469012	−	0.883192i	$-0.344610\pi$
$683$	34.4132	−	9.22099i	1.31678	−	0.352831i	0.847772	+	0.530361i	$0.177943\pi$
$684$	7.88557	+	2.40697i	0.301512	+	0.0920327i
$685$	−21.2747	−	3.94598i	−0.812864	−	0.150768i
$686$	−18.5186	−	0.246614i	−0.707044	−	0.00941576i
$687$	−1.52671	+	0.601786i	−0.0582477	+	0.0229596i
$688$	−4.36618	−	1.16991i	−0.166459	−	0.0446025i
$689$	−17.0660	+	29.5592i	−0.650164	+	1.12612i
$690$	−11.0593	−	22.6696i	−0.421019	−	0.863016i
$691$	−0.329316	−	0.570391i	−0.0125278	−	0.0216987i	0.859694	−	0.510810i	$-0.170654\pi$
$691$	−0.329316	−	0.570391i	−0.0125278	−	0.0216987i	−0.872221	+	0.489111i	$0.837321\pi$
$692$	14.2523	−	14.2523i	0.541790	−	0.541790i
$693$	−0.290571	+	1.34072i	−0.0110379	+	0.0509297i
$694$		−	9.17096i		−	0.348125i
$695$	20.5031	+	9.78287i	0.777728	+	0.371085i
$696$	0.866488	+	1.17044i	0.0328442	+	0.0443654i
$697$	33.6477	−	9.01588i	1.27450	−	0.341501i
$698$	−4.53620	+	16.9293i	−0.171698	+	0.640784i
$699$	5.93473	−	13.6574i	0.224472	−	0.516569i
$700$	9.55912	−	9.14458i	0.361301	−	0.345632i
$701$			11.3501i			0.428686i	0.976758	+	0.214343i	$0.0687610\pi$
$701$			11.3501i			0.428686i	−0.976758	+	0.214343i	$0.931239\pi$
$702$	16.7041	−	1.32602i	0.630454	−	0.0500475i
$703$	4.36763	+	16.3002i	0.164728	+	0.614774i
$704$	−0.0864181	+	0.149681i	−0.00325701	+	0.00564130i
$705$	−4.62184	+	4.01845i	−0.174069	+	0.151344i
$706$	1.29021			0.0485578
$707$	−2.16718	−	26.1051i	−0.0815053	−	0.981783i
$708$	−15.6893	+	6.18427i	−0.589640	+	0.232419i
$709$	−12.1585	+	7.01970i	−0.456621	+	0.263630i	−0.710622	−	0.703574i	$-0.751587\pi$
$709$	−12.1585	+	7.01970i	−0.456621	+	0.263630i	0.254001	+	0.967204i	$0.418253\pi$
$710$	−15.3166	−	13.0851i	−0.574821	−	0.491076i
$711$	40.5693	−	9.38547i	1.52147	−	0.351983i
$712$	−3.63725	+	13.5744i	−0.136312	+	0.508722i
$713$	−37.4590	−	37.4590i	−1.40285	−	1.40285i
$714$	14.1582	−	6.98468i	0.529856	−	0.261395i
$715$	0.227285	−	1.22540i	0.00849998	−	0.0458275i
$716$	0.144081	−	0.0831851i	0.00538456	−	0.00310877i
$717$	−1.88966	−	0.281976i	−0.0705707	−	0.0105306i
$718$	−4.37288	−	16.3198i	−0.163195	−	0.609051i
$719$	−1.85130	−	3.20654i	−0.0690418	−	0.119584i	0.829438	−	0.558599i	$-0.188661\pi$
$719$	−1.85130	−	3.20654i	−0.0690418	−	0.119584i	−0.898480	+	0.439015i	$0.855328\pi$
$720$	−6.54965	−	1.44984i	−0.244091	−	0.0540324i
$721$	8.05205	+	22.4321i	0.299874	+	0.835416i
$722$	−8.09436	+	8.09436i	−0.301241	+	0.301241i
$723$	16.0423	−	20.1773i	0.596620	−	0.750402i
$724$	−0.543903	−	0.314023i	−0.0202140	−	0.0116706i
$725$	2.64472	+	3.26775i	0.0982225	+	0.121361i
$726$	2.15522	+	18.8782i	0.0799876	+	0.700635i
$727$	−1.93909	−	1.93909i	−0.0719167	−	0.0719167i	0.670234	−	0.742150i	$-0.266194\pi$
$727$	−1.93909	−	1.93909i	−0.0719167	−	0.0719167i	−0.742150	+	0.670234i	$0.766194\pi$
$728$	−4.86271	−	7.01070i	−0.180224	−	0.259834i
$729$	17.0201	+	20.9599i	0.630373	+	0.776293i
$730$	0.147730	+	0.0704878i	0.00546772	+	0.00260887i
$731$	−13.4861	−	7.78622i	−0.498802	−	0.287984i
$732$	3.08568	−	20.6787i	0.114050	−	0.764307i
$733$	−11.5739	−	3.10122i	−0.427492	−	0.114546i	0.0386564	−	0.999253i	$-0.487692\pi$
$733$	−11.5739	−	3.10122i	−0.427492	−	0.114546i	−0.466149	+	0.884706i	$0.654359\pi$
$734$	−33.0821			−1.22108
$735$	15.7421	+	22.0723i	0.580655	+	0.814150i
$736$	6.51264			0.240059
$737$	0.214581	+	0.0574968i	0.00790419	+	0.00211792i
$738$	16.0631	−	25.7322i	0.591292	−	0.947216i
$739$	10.6023	+	6.12123i	0.390011	+	0.225173i	0.682165	−	0.731198i	$-0.261039\pi$
$739$	10.6023	+	6.12123i	0.390011	+	0.225173i	−0.292154	+	0.956371i	$0.594372\pi$
$740$	−4.58152	−	12.9433i	−0.168420	−	0.475806i
$741$	6.11779	−	14.0786i	0.224743	−	0.517192i
$742$	15.9600	+	23.0099i	0.585910	+	0.844721i
$743$	15.5281	+	15.5281i	0.569671	+	0.569671i	0.932036	−	0.362365i	$-0.118031\pi$
$743$	15.5281	+	15.5281i	0.569671	+	0.569671i	−0.362365	+	0.932036i	$0.618031\pi$
$744$	−13.9979	+	1.59806i	−0.513188	+	0.0585878i
$745$	−11.8582	+	0.931662i	−0.434451	+	0.0341334i
$746$	−5.77981	−	3.33698i	−0.211614	−	0.122175i
$747$	−10.6313	−	19.9728i	−0.388978	−	0.730765i
$748$	−0.421035	+	0.421035i	−0.0153946	+	0.0153946i
$749$	−5.43361	−	15.1374i	−0.198540	−	0.553110i
$750$	−19.0701	−	3.36604i	−0.696343	−	0.122911i
$751$	21.0530	+	36.4649i	0.768235	+	1.33062i	0.938519	+	0.345228i	$0.112198\pi$
$751$	21.0530	+	36.4649i	0.768235	+	1.33062i	−0.170284	+	0.985395i	$0.554468\pi$
$752$	−0.409280	−	1.52745i	−0.0149249	−	0.0557005i
$753$	5.38111	−	36.0616i	0.196099	−	1.31416i
$754$	2.34810	−	1.35568i	0.0855128	−	0.0493708i
$755$	−19.7614	−	28.7613i	−0.719191	−	1.04673i
$756$	4.86296	−	12.8589i	0.176864	−	0.467674i
$757$	23.9201	+	23.9201i	0.869389	+	0.869389i	0.992405	−	0.123015i	$-0.0392565\pi$
$757$	23.9201	+	23.9201i	0.869389	+	0.869389i	−0.123015	+	0.992405i	$0.539256\pi$
$758$	−4.17944	+	15.5979i	−0.151804	+	0.566540i
$759$	−1.56696	+	1.16004i	−0.0568771	+	0.0421067i
$760$	−3.99166	+	4.67236i	−0.144793	+	0.169484i
$761$	−0.160794	+	0.0928347i	−0.00582879	+	0.00336526i	−0.502912	−	0.864338i	$-0.667738\pi$
$761$	−0.160794	+	0.0928347i	−0.00582879	+	0.00336526i	0.497083	+	0.867703i	$0.334405\pi$
$762$	−1.92051	−	4.87228i	−0.0695729	−	0.176504i
$763$	−3.43791	−	41.4118i	−0.124461	−	1.49921i
$764$	−0.936855			−0.0338942
$765$	−20.5024	−	10.6646i	−0.741268	−	0.385580i
$766$	−8.11211	+	14.0506i	−0.293103	+	0.507668i
$767$	8.12651	+	30.3285i	0.293431	+	1.09510i
$768$	1.07792	−	1.35576i	0.0388961	−	0.0489218i
$769$			29.4164i			1.06078i	0.847753	+	0.530392i	$0.177955\pi$
$769$			29.4164i			1.06078i	−0.847753	+	0.530392i	$0.822045\pi$
$770$	−0.829720	−	0.597577i	−0.0299010	−	0.0215352i
$771$	−2.92686	−	1.27185i	−0.105408	−	0.0458045i
$772$	6.34457	−	23.6783i	0.228346	−	0.852199i
$773$	17.1007	−	4.58211i	0.615068	−	0.164807i	0.0621831	−	0.998065i	$-0.480194\pi$
$773$	17.1007	−	4.58211i	0.615068	−	0.164807i	0.552885	+	0.833258i	$0.313527\pi$
$774$	−13.2117	+	3.05644i	−0.474883	+	0.109861i
$775$	−40.1720	+	6.35157i	−1.44302	+	0.228155i
$776$		−	8.96279i		−	0.321746i
$777$	27.5972	−	5.49373i	0.990043	−	0.197087i
$778$	16.9300	−	16.9300i	0.606970	−	0.606970i
$779$	−13.8944	−	24.0657i	−0.497817	−	0.862245i
$780$	−4.06514	+	11.8096i	−0.145556	+	0.422850i
$781$	−0.778548	+	1.34848i	−0.0278586	+	0.0482526i
$782$	21.6720	+	5.80700i	0.774990	+	0.207658i
$783$	3.94450	+	1.87815i	0.140965	+	0.0671197i
$784$	−6.90417	+	1.15429i	−0.246578	+	0.0412247i
$785$	−3.69655	+	19.9299i	−0.131935	+	0.711327i
$786$	10.3465	−	1.18120i	0.369048	−	0.0421321i
$787$	−9.72104	+	2.60475i	−0.346518	+	0.0928491i	−0.427880	−	0.903835i	$-0.640740\pi$
$787$	−9.72104	+	2.60475i	−0.346518	+	0.0928491i	0.0813625	+	0.996685i	$0.474073\pi$
$788$	4.17302	−	1.11816i	0.148658	−	0.0398327i
$789$	33.2364	−	3.79441i	1.18325	−	0.135085i
$790$	−5.66018	+	30.5168i	−0.201380	+	1.08574i
$791$	1.09900	−	6.07491i	0.0390758	−	0.215999i
$792$	−0.0178617	+	0.518201i	−0.000634687	+	0.0184135i
$793$	−37.6004	−	10.0750i	−1.33523	−	0.357774i
$794$	11.6778	−	20.2265i	0.414429	−	0.717813i
$795$	13.3423	−	38.7604i	0.473202	−	1.37469i
$796$	−4.66857	−	8.08620i	−0.165473	−	0.286608i
$797$	1.48738	−	1.48738i	0.0526858	−	0.0526858i	−0.680273	−	0.732959i	$-0.738139\pi$
$797$	1.48738	−	1.48738i	0.0526858	−	0.0526858i	0.732959	+	0.680273i	$0.238139\pi$
$798$	−8.30525	−	9.46745i	−0.294003	−	0.335144i
$799$		−	5.44782i		−	0.192730i
$800$	2.94001	−	4.04430i	0.103945	−	0.142987i
$801$	9.50243	+	41.0749i	0.335752	+	1.45131i
$802$	−17.4314	+	4.67073i	−0.615524	+	0.164929i
$803$	0.00327456	−	0.0122208i	0.000115557	−	0.000431264i
$804$	−2.04180	−	0.887252i	−0.0720088	−	0.0312910i
$805$	−3.86820	+	38.3346i	−0.136336	+	1.35112i
$806$			26.2312i			0.923956i
$807$	23.2159	−	29.2000i	0.817239	−	1.02789i
$808$	−2.56250	−	9.56338i	−0.0901485	−	0.336439i
$809$	12.1034	−	20.9637i	0.425534	−	0.737046i	−0.570936	−	0.820994i	$-0.693420\pi$
$809$	12.1034	−	20.9637i	0.425534	−	0.737046i	0.996470	+	0.0839482i	$0.0267530\pi$
$810$	−19.3885	+	5.39298i	−0.681244	+	0.189490i
$811$	−28.4058			−0.997462			−0.498731	−	0.866757i	$-0.666201\pi$
$811$	−28.4058			−0.997462			−0.498731	+	0.866757i	$0.666201\pi$
$812$	−0.184039	−	2.21687i	−0.00645850	−	0.0777968i
$813$	−9.71856	−	24.6557i	−0.340845	−	0.864712i
$814$	−0.919093	+	0.530639i	−0.0322142	+	0.0185989i
$815$	31.9753	−	37.4281i	1.12005	−	1.31105i
$816$	4.79585	−	3.55042i	0.167888	−	0.124290i
$817$	−3.21521	+	11.9993i	−0.112486	+	0.419803i
$818$	7.15836	+	7.15836i	0.250286	+	0.250286i
$819$	−22.7598	−	11.7112i	−0.795292	−	0.409224i
$820$	12.8039	+	18.6351i	0.447131	+	0.650766i
$821$	20.2229	−	11.6757i	0.705783	−	0.407484i	−0.103715	−	0.994607i	$-0.533073\pi$
$821$	20.2229	−	11.6757i	0.705783	−	0.407484i	0.809498	+	0.587123i	$0.199740\pi$
$822$	2.47360	−	16.5768i	0.0862766	−	0.578183i
$823$	9.58542	+	35.7733i	0.334127	+	1.24698i	0.904813	+	0.425810i	$0.140011\pi$
$823$	9.58542	+	35.7733i	0.334127	+	1.24698i	−0.570686	+	0.821168i	$0.693323\pi$
$824$	4.50411	+	7.80135i	0.156908	+	0.271773i
$825$	0.0129987	+	1.49675i	0.000452556	+	0.0521101i
$826$	25.3489	+	4.58581i	0.882002	+	0.159561i
$827$	13.5105	−	13.5105i	0.469805	−	0.469805i	−0.432047	−	0.901851i	$-0.642208\pi$
$827$	13.5105	−	13.5105i	0.469805	−	0.469805i	0.901851	+	0.432047i	$0.142208\pi$
$828$	17.2468	−	9.18028i	0.599368	−	0.319037i
$829$	−34.5823	−	19.9661i	−1.20109	−	0.693452i	−0.240296	−	0.970700i	$-0.577245\pi$
$829$	−34.5823	−	19.9661i	−1.20109	−	0.693452i	−0.960799	+	0.277247i	$0.910578\pi$
$830$	16.8126	−	1.32091i	0.583574	−	0.0458496i
$831$	−31.3565	+	3.57980i	−1.08775	+	0.124182i
$832$	−2.28029	−	2.28029i	−0.0790547	−	0.0790547i
$833$	−24.0042	−	2.31499i	−0.831695	−	0.0802098i
$834$	−7.01309	+	16.1390i	−0.242844	+	0.558847i
$835$	−6.59226	−	18.6239i	−0.228135	−	0.644507i
$836$	0.411359	+	0.237498i	0.0142271	+	0.00821405i
$837$	−34.8167	+	23.9636i	−1.20344	+	0.828303i
$838$	−6.41313	−	1.71839i	−0.221538	−	0.0593609i
$839$	−3.82196			−0.131949			−0.0659743	−	0.997821i	$-0.521016\pi$
$839$	−3.82196			−0.131949			−0.0659743	+	0.997821i	$0.521016\pi$
$840$	7.34003	+	7.15010i	0.253255	+	0.246702i
$841$	−28.2931			−0.975624
$842$	8.04929	+	2.15680i	0.277397	+	0.0743282i
$843$	0.0307787	−	0.206264i	0.00106007	−	0.00710410i
$844$	−15.3923	−	8.88676i	−0.529825	−	0.305895i
$845$	−5.24829	−	2.50417i	−0.180547	−	0.0861461i
$846$	−3.23697	−	3.46809i	−0.111289	−	0.119235i
$847$	12.3828	−	26.2502i	0.425478	−	0.901967i
$848$	7.48417	+	7.48417i	0.257007	+	0.257007i
$849$	0.947319	+	8.29785i	0.0325119	+	0.284782i
$850$	13.3895	−	10.8367i	0.459257	−	0.371696i
$851$	34.6323	+	19.9950i	1.18718	+	0.685419i
$852$	9.71108	−	12.2142i	0.332696	−	0.418450i
$853$	−22.9546	+	22.9546i	−0.785949	+	0.785949i	−0.980827	−	0.194878i	$-0.937569\pi$
$853$	−22.9546	+	22.9546i	−0.785949	+	0.785949i	0.194878	+	0.980827i	$0.437569\pi$
$854$	−20.6371	+	24.3738i	−0.706186	+	0.834054i
$855$	−3.98452	+	18.0001i	−0.136268	+	0.615589i
$856$	−3.03942	−	5.26443i	−0.103885	−	0.179935i
$857$	2.42738	+	9.05910i	0.0829176	+	0.309453i	0.994912	−	0.100751i	$-0.0321244\pi$
$857$	2.42738	+	9.05910i	0.0829176	+	0.309453i	−0.911994	+	0.410203i	$0.865458\pi$
$858$	0.954811	+	0.142477i	0.0325967	+	0.00486409i
$859$	22.9758	−	13.2651i	0.783923	−	0.452598i	−0.0538960	−	0.998547i	$-0.517164\pi$
$859$	22.9758	−	13.2651i	0.783923	−	0.452598i	0.837819	+	0.545949i	$0.183831\pi$
$860$	1.84327	−	9.93798i	0.0628551	−	0.338882i
$861$	−41.5548	+	20.5003i	−1.41618	+	0.698650i
$862$	15.6929	+	15.6929i	0.534503	+	0.534503i
$863$	7.52307	−	28.0765i	0.256088	−	0.955735i	−0.711393	−	0.702794i	$-0.751936\pi$
$863$	7.52307	−	28.0765i	0.256088	−	0.955735i	0.967482	−	0.252941i	$-0.0813978\pi$
$864$	0.943463	−	5.10978i	0.0320973	−	0.173838i
$865$	34.2673	+	29.2750i	1.16512	+	0.995378i
$866$	10.3627	−	5.98291i	0.352139	−	0.203308i
$867$	−8.26875	+	3.25931i	−0.280822	+	0.110692i
$868$	19.4641	+	9.18168i	0.660656	+	0.311646i
$869$	2.39901			0.0813810
$870$	−2.45738	+	2.13657i	−0.0833131	+	0.0724364i
$871$	−2.07246	+	3.58961i	−0.0702227	+	0.121629i
$872$	−4.06502	−	15.1709i	−0.137659	−	0.513751i
$873$	−12.6341	−	23.7353i	−0.427598	−	0.803319i
$874$		−	17.8983i		−	0.605420i
$875$	22.0593	+	19.7076i	0.745739	+	0.666238i
$876$	−0.0505309	+	0.116285i	−0.00170728	+	0.00392891i
$877$	−13.9767	+	52.1619i	−0.471961	+	1.76138i	0.160752	+	0.986995i	$0.448608\pi$
$877$	−13.9767	+	52.1619i	−0.471961	+	1.76138i	−0.632712	+	0.774387i	$0.718059\pi$
$878$	−7.21845	+	1.93418i	−0.243611	+	0.0652753i
$879$	−9.47446	−	12.7979i	−0.319566	−	0.431664i
$880$	−0.348803	−	0.166428i	−0.0117581	−	0.00561028i
$881$			54.1575i			1.82461i	0.409509	+	0.912306i	$0.365700\pi$
$881$			54.1575i			1.82461i	−0.409509	+	0.912306i	$0.634300\pi$
$882$	−16.6566	+	12.7890i	−0.560856	+	0.430628i
$883$	19.2945	−	19.2945i	0.649313	−	0.649313i	−0.303514	−	0.952827i	$-0.598160\pi$
$883$	19.2945	−	19.2945i	0.649313	−	0.649313i	0.952827	+	0.303514i	$0.0981599\pi$
$884$	−5.55486	−	9.62130i	−0.186830	−	0.323599i
$885$	−16.5338	−	33.8914i	−0.555778	−	1.13925i
$886$	−1.60510	+	2.78012i	−0.0539245	+	0.0934001i
$887$	−31.6212	−	8.47287i	−1.06174	−	0.284491i	−0.314642	−	0.949210i	$-0.601884\pi$
$887$	−31.6212	−	8.47287i	−1.06174	−	0.284491i	−0.747093	+	0.664719i	$0.768551\pi$
$888$	9.89450	−	3.90013i	0.332038	−	0.130880i
$889$	−1.42411	+	7.87207i	−0.0477633	+	0.264021i
$890$	−30.8970	−	5.73071i	−1.03567	−	0.192094i
$891$	0.683160	+	1.39748i	0.0228867	+	0.0468174i
$892$	28.3879	−	7.60651i	0.950496	−	0.254685i
$893$	−4.19782	+	1.12480i	−0.140475	+	0.0376400i
$894$	−1.04508	−	9.15417i	−0.0349527	−	0.306161i
$895$	0.210671	+	0.306616i	0.00704194	+	0.0102490i
$896$	−2.49019	+	0.893856i	−0.0831912	+	0.0298616i
$897$	−13.3397	−	33.8424i	−0.445399	−	1.12996i
$898$	−27.4225	−	7.34784i	−0.915102	−	0.245201i
$899$	−3.41953	+	5.92280i	−0.114048	+	0.197536i
$900$	2.08487	−	14.8544i	0.0694957	−	0.495147i
$901$	18.2317	+	31.5782i	0.607386	+	1.05202i
$902$	1.23576	−	1.23576i	0.0411462	−	0.0411462i
$903$	19.6159	+	6.65540i	0.652775	+	0.221478i
$904$		−	2.33337i		−	0.0776067i
$905$	0.604759	−	1.26747i	0.0201029	−	0.0421320i
$906$	21.7248	−	16.0831i	0.721759	−	0.534325i
$907$	10.4202	−	2.79208i	0.345997	−	0.0927095i	−0.0816359	−	0.996662i	$-0.526014\pi$
$907$	10.4202	−	2.79208i	0.345997	−	0.0927095i	0.427632	+	0.903953i	$0.359348\pi$
$908$	−1.63340	+	6.09593i	−0.0542063	+	0.202301i
$909$	−20.2667	−	21.7137i	−0.672203	−	0.720198i
$910$	14.7766	−	12.0678i	0.489839	−	0.400044i
$911$		−	25.0692i		−	0.830579i	−0.909689	−	0.415290i	$-0.863680\pi$
$911$		−	25.0692i		−	0.830579i	0.909689	−	0.415290i	$-0.136320\pi$
$912$	−3.72596	−	2.96239i	−0.123379	−	0.0980946i
$913$	−0.337378	−	1.25911i	−0.0111656	−	0.0416706i
$914$	1.13340	−	1.96311i	0.0374896	−	0.0649340i
$915$	46.6374	+	3.25690i	1.54178	+	0.107670i
$916$	0.947452			0.0313047
$917$	−14.3868	−	6.78660i	−0.475095	−	0.224113i
$918$	7.69569	−	16.1625i	0.253996	−	0.533443i
$919$	8.61762	−	4.97538i	0.284269	−	0.164123i	−0.351086	−	0.936343i	$-0.614187\pi$
$919$	8.61762	−	4.97538i	0.284269	−	0.164123i	0.635354	+	0.772221i	$0.280854\pi$
$920$	1.14063	+	14.5180i	0.0376055	+	0.478643i
$921$	5.05065	+	6.82234i	0.166425	+	0.224804i
$922$	−3.26716	+	12.1932i	−0.107598	+	0.401562i
$923$	−20.5433	−	20.5433i	−0.676191	−	0.676191i
$924$	0.439932	−	0.658619i	0.0144727	−	0.0216670i
$925$	28.0508	−	12.4800i	0.922306	−	0.410341i
$926$	−10.4838	+	6.05284i	−0.344520	+	0.198909i
$927$	22.9247	+	14.3105i	0.752945	+	0.470020i
$928$	−0.217610	−	0.812130i	−0.00714339	−	0.0266595i
$929$	5.51726	+	9.55617i	0.181015	+	0.313528i	0.942227	−	0.334976i	$-0.108728\pi$
$929$	5.51726	+	9.55617i	0.181015	+	0.313528i	−0.761211	+	0.648504i	$0.775395\pi$
$930$	−6.01401	−	30.9242i	−0.197207	−	1.01405i
$931$	3.17228	+	18.9744i	0.103967	+	0.621860i
$932$	−6.07926	+	6.07926i	−0.199133	+	0.199133i
$933$	27.5189	+	21.8794i	0.900929	+	0.716299i
$934$	−33.5599	−	19.3758i	−1.09811	−	0.633997i
$935$	−1.01231	−	0.864831i	−0.0331061	−	0.0282830i
$936$	−9.25298	−	2.82435i	−0.302443	−	0.0923168i
$937$	24.3351	+	24.3351i	0.794993	+	0.794993i	0.982301	−	0.187308i	$-0.0599763\pi$
$937$	24.3351	+	24.3351i	0.794993	+	0.794993i	−0.187308	+	0.982301i	$0.559976\pi$
$938$	1.93815	+	2.79428i	0.0632827	+	0.0912364i
$939$	−19.4201	−	8.43889i	−0.633751	−	0.275393i
$940$	3.33331	−	1.17989i	0.108721	−	0.0384836i
$941$	15.8705	+	9.16283i	0.517363	+	0.298700i	0.735855	−	0.677139i	$-0.236780\pi$
$941$	15.8705	+	9.16283i	0.517363	+	0.298700i	−0.218492	+	0.975839i	$0.570114\pi$
$942$	−15.5290	−	2.31724i	−0.505961	−	0.0754996i
$943$	−63.6083	−	17.0438i	−2.07137	−	0.555022i
$944$	9.73652			0.316897
$945$	29.5168	+	8.58837i	0.960181	+	0.279380i
$946$	−0.781254			−0.0254008
$947$	−50.6300	−	13.5663i	−1.64525	−	0.440844i	−0.686975	−	0.726681i	$-0.741062\pi$
$947$	−50.6300	−	13.5663i	−1.64525	−	0.440844i	−0.958278	+	0.285837i	$0.907728\pi$
$948$	−23.7781	−	3.54817i	−0.772276	−	0.115239i
$949$	0.204436	+	0.118031i	0.00663627	+	0.00383145i
$950$	−11.1147	−	8.07987i	−0.360609	−	0.262146i
$951$	−42.9442	−	18.6611i	−1.39256	−	0.605129i
$952$	−9.08357	+	0.754096i	−0.294400	+	0.0244404i
$953$	9.37397	+	9.37397i	0.303653	+	0.303653i	0.842441	−	0.538788i	$-0.181118\pi$
$953$	9.37397	+	9.37397i	0.303653	+	0.303653i	−0.538788	+	0.842441i	$0.681118\pi$
$954$	30.3694	+	9.26986i	0.983245	+	0.300123i
$955$	−0.164082	−	2.08843i	−0.00530956	−	0.0675802i
$956$	0.955292	+	0.551538i	0.0308963	+	0.0178380i
$957$	0.197015	+	0.156640i	0.00636860	+	0.00506346i
$958$	14.1669	−	14.1669i	0.457713	−	0.457713i
$959$	−16.5435	+	19.5389i	−0.534216	+	0.630945i
$960$	3.21105	+	2.16545i	0.103636	+	0.0698896i
$961$	−17.5826	−	30.4539i	−0.567179	−	0.982384i
$962$	−5.12501	−	19.1268i	−0.165237	−	0.616672i
$963$	−15.4698	−	9.65690i	−0.498508	−	0.311189i
$964$	−12.8888	+	7.44133i	−0.415119	+	0.239669i
$965$	53.8947	+	9.99627i	1.73493	+	0.321791i
$966$	−29.7810	−	1.94746i	−0.958189	−	0.0626584i
$967$	8.40858	+	8.40858i	0.270402	+	0.270402i	0.829262	−	0.558860i	$-0.188761\pi$
$967$	8.40858	+	8.40858i	0.270402	+	0.270402i	−0.558860	+	0.829262i	$0.688761\pi$
$968$	2.83928	−	10.5963i	0.0912578	−	0.340579i
$969$	−9.75742	−	13.1802i	−0.313453	−	0.423408i
$970$	19.9798	−	1.56975i	0.641514	−	0.0504018i
$971$	41.1227	−	23.7422i	1.31969	−	0.761924i	0.336013	−	0.941857i	$-0.390922\pi$
$971$	41.1227	−	23.7422i	1.31969	−	0.761924i	0.983679	+	0.179933i	$0.0575882\pi$
$972$	−4.70432	−	14.8617i	−0.150891	−	0.476688i
$973$	22.0868	−	15.3197i	0.708069	−	0.491126i
$974$	22.0255			0.705741
$975$	−27.0378	−	6.99368i	−0.865903	−	0.223977i
$976$	−6.03552	+	10.4538i	−0.193192	+	0.334619i
$977$	14.0296	+	52.3593i	0.448848	+	1.67512i	0.705571	+	0.708639i	$0.250690\pi$
$977$	14.0296	+	52.3593i	0.448848	+	1.67512i	−0.256723	+	0.966485i	$0.582643\pi$
$978$	29.8470	+	23.7304i	0.954401	+	0.758813i
$979$			2.42891i			0.0776283i
$980$	−3.78235	−	15.1886i	−0.120823	−	0.485182i
$981$	−32.1501	−	34.4455i	−1.02647	−	1.09976i
$982$	8.84572	−	33.0127i	0.282278	−	1.05348i
$983$	−10.1451	+	2.71838i	−0.323579	+	0.0867028i	−0.416952	−	0.908928i	$-0.636902\pi$
$983$	−10.1451	+	2.71838i	−0.323579	+	0.0867028i	0.0933730	+	0.995631i	$0.470235\pi$
$984$	−14.0760	+	10.4206i	−0.448727	+	0.332197i
$985$	3.22346	+	9.10666i	0.102708	+	0.290162i
$986$		−	2.89655i		−	0.0922449i
$987$	1.41481	+	7.10714i	0.0450338	+	0.226223i
$988$	−6.26678	+	6.26678i	−0.199373	+	0.199373i
$989$	14.7192	+	25.4944i	0.468044	+	0.810675i
$990$	−1.15830	+	0.0509410i	−0.0368132	+	0.00161901i
$991$	−12.3659	+	21.4183i	−0.392815	+	0.680375i	−0.992820	−	0.119621i	$-0.961832\pi$
$991$	−12.3659	+	21.4183i	−0.392815	+	0.680375i	0.600005	+	0.799996i	$0.295165\pi$
$992$	7.85703	+	2.10528i	0.249461	+	0.0668428i
$993$	−3.75687	−	9.53107i	−0.119221	−	0.302459i
$994$	−22.4343	+	8.05282i	−0.711572	+	0.255420i
$995$	17.2081	−	11.8234i	0.545533	−	0.374827i
$996$	1.48172	+	12.9788i	0.0469500	+	0.411249i
$997$	51.1086	−	13.6945i	1.61862	−	0.433709i	0.668028	−	0.744137i	$-0.267139\pi$
$997$	51.1086	−	13.6945i	1.61862	−	0.433709i	0.950597	+	0.310427i	$0.100472\pi$
$998$	6.26776	−	1.67944i	0.198403	−	0.0531618i
$999$	20.7050	−	24.2757i	0.655078	−	0.768050i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	210.2.x.a.137.9	yes	64
3.2	odd	2	inner	210.2.x.a.137.8	yes	64
5.3	odd	4	inner	210.2.x.a.53.12	yes	64
7.2	even	3	inner	210.2.x.a.107.6	yes	64
15.8	even	4	inner	210.2.x.a.53.6	yes	64
21.2	odd	6	inner	210.2.x.a.107.12	yes	64
35.23	odd	12	inner	210.2.x.a.23.8	✓	64
105.23	even	12	inner	210.2.x.a.23.9	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
210.2.x.a.23.8	✓	64	35.23	odd	12	inner
210.2.x.a.23.9	yes	64	105.23	even	12	inner
210.2.x.a.53.6	yes	64	15.8	even	4	inner
210.2.x.a.53.12	yes	64	5.3	odd	4	inner
210.2.x.a.107.6	yes	64	7.2	even	3	inner
210.2.x.a.107.12	yes	64	21.2	odd	6	inner
210.2.x.a.137.8	yes	64	3.2	odd	2	inner
210.2.x.a.137.9	yes	64	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	210.x (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.965926 + 0.258819i) q^{2} +(-1.71308 - 0.255627i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.962923 + 2.01811i) q^{5} +(-1.58855 - 0.690295i) q^{6} +(1.50791 + 2.17399i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.86931 + 0.875819i) q^{9} +O(q^{10})\)	\(q+(0.965926 + 0.258819i) q^{2} +(-1.71308 - 0.255627i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.962923 + 2.01811i) q^{5} +(-1.58855 - 0.690295i) q^{6} +(1.50791 + 2.17399i) q^{7} +(0.707107 + 0.707107i) q^{8} +(2.86931 + 0.875819i) q^{9} +(-1.45244 + 1.70012i) q^{10} +(0.149681 + 0.0864181i) q^{11} +(-1.35576 - 1.07792i) q^{12} +(-2.28029 + 2.28029i) q^{13} +(0.893856 + 2.49019i) q^{14} +(2.16545 - 3.21105i) q^{15} +(0.500000 + 0.866025i) q^{16} +(0.891651 + 3.32769i) q^{17} +(2.54486 + 1.58861i) q^{18} +(2.38005 - 1.37412i) q^{19} +(-1.84297 + 1.26628i) q^{20} +(-2.02744 - 4.10968i) q^{21} +(0.122214 + 0.122214i) q^{22} +(1.68559 - 6.29072i) q^{23} +(-1.03058 - 1.39209i) q^{24} +(-3.14556 - 3.88657i) q^{25} +(-2.79277 + 1.61241i) q^{26} +(-4.69148 - 2.23382i) q^{27} +(0.218891 + 2.63668i) q^{28} -0.840779 q^{29} +(2.92274 - 2.54117i) q^{30} +(4.06710 - 7.04442i) q^{31} +(0.258819 + 0.965926i) q^{32} +(-0.234325 - 0.186304i) q^{33} +3.44508i q^{34} +(-5.83935 + 0.949743i) q^{35} +(2.04699 + 2.19314i) q^{36} +(-1.58924 + 5.93113i) q^{37} +(2.65460 - 0.711298i) q^{38} +(4.48922 - 3.32342i) q^{39} +(-2.10791 + 0.746132i) q^{40} -10.1114i q^{41} +(-0.894692 - 4.49439i) q^{42} +(-3.19626 + 3.19626i) q^{43} +(0.0864181 + 0.149681i) q^{44} +(-4.53043 + 4.94725i) q^{45} +(3.25632 - 5.64011i) q^{46} +(-1.52745 - 0.409280i) q^{47} +(-0.635163 - 1.61139i) q^{48} +(-2.45244 + 6.55634i) q^{49} +(-2.03246 - 4.56827i) q^{50} +(-0.676827 - 5.92854i) q^{51} +(-3.11493 + 0.834642i) q^{52} +(10.2236 - 2.73940i) q^{53} +(-3.95347 - 3.37195i) q^{54} +(-0.318532 + 0.218858i) q^{55} +(-0.470991 + 2.60349i) q^{56} +(-4.42849 + 1.74558i) q^{57} +(-0.812130 - 0.217610i) q^{58} +(4.86826 - 8.43207i) q^{59} +(3.48086 - 1.69812i) q^{60} +(6.03552 + 10.4538i) q^{61} +(5.75174 - 5.75174i) q^{62} +(2.42263 + 7.55850i) q^{63} +1.00000i q^{64} +(-2.40614 - 6.79761i) q^{65} +(-0.178121 - 0.240603i) q^{66} +(1.24153 - 0.332666i) q^{67} +(-0.891651 + 3.32769i) q^{68} +(-4.49564 + 10.3457i) q^{69} +(-5.88619 - 0.593954i) q^{70} +9.00908i q^{71} +(1.40961 + 2.64821i) q^{72} +(-0.0189461 - 0.0707076i) q^{73} +(-3.07018 + 5.31771i) q^{74} +(4.39510 + 7.46211i) q^{75} +2.74825 q^{76} +(0.0378323 + 0.455714i) q^{77} +(5.19642 - 2.04828i) q^{78} +(12.0207 - 6.94014i) q^{79} +(-2.22920 + 0.175141i) q^{80} +(7.46588 + 5.02600i) q^{81} +(2.61703 - 9.76690i) q^{82} +(-5.33300 - 5.33300i) q^{83} +(0.299027 - 4.57281i) q^{84} +(-7.57424 - 1.40485i) q^{85} +(-3.91461 + 2.26010i) q^{86} +(1.44032 + 0.214926i) q^{87} +(0.0447333 + 0.166947i) q^{88} +(7.02662 + 12.1705i) q^{89} +(-5.65650 + 3.60611i) q^{90} +(-8.39577 - 1.51886i) q^{91} +(4.60513 - 4.60513i) q^{92} +(-8.76802 + 11.0280i) q^{93} +(-1.36948 - 0.790668i) q^{94} +(0.481331 + 6.12638i) q^{95} +(-0.196462 - 1.72087i) q^{96} +(-6.33765 - 6.33765i) q^{97} +(-4.06578 + 5.69820i) q^{98} +(0.353793 + 0.379054i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q + 8 q^{6} + 4 q^{7}+O(q^{10}) \) 64 * q + 8 * q^6 + 4 * q^7	\( 64 q + 8 q^{6} + 4 q^{7} + 4 q^{10} - 24 q^{15} + 32 q^{16} - 8 q^{18} + 12 q^{21} - 24 q^{22} - 8 q^{25} - 72 q^{27} + 4 q^{28} - 12 q^{30} + 32 q^{31} - 20 q^{33} - 24 q^{36} - 8 q^{37} - 40 q^{42} - 64 q^{43} - 28 q^{45} + 24 q^{46} - 16 q^{55} + 24 q^{57} - 28 q^{58} + 8 q^{60} + 24 q^{61} - 88 q^{63} - 16 q^{67} - 12 q^{70} + 8 q^{72} - 56 q^{73} + 8 q^{75} - 32 q^{76} - 16 q^{78} + 4 q^{81} + 16 q^{82} + 32 q^{85} + 76 q^{87} + 12 q^{88} + 40 q^{90} - 48 q^{91} + 84 q^{93} + 4 q^{96} + 104 q^{97}+O(q^{100}) \) 64 * q + 8 * q^6 + 4 * q^7 + 4 * q^10 - 24 * q^15 + 32 * q^16 - 8 * q^18 + 12 * q^21 - 24 * q^22 - 8 * q^25 - 72 * q^27 + 4 * q^28 - 12 * q^30 + 32 * q^31 - 20 * q^33 - 24 * q^36 - 8 * q^37 - 40 * q^42 - 64 * q^43 - 28 * q^45 + 24 * q^46 - 16 * q^55 + 24 * q^57 - 28 * q^58 + 8 * q^60 + 24 * q^61 - 88 * q^63 - 16 * q^67 - 12 * q^70 + 8 * q^72 - 56 * q^73 + 8 * q^75 - 32 * q^76 - 16 * q^78 + 4 * q^81 + 16 * q^82 + 32 * q^85 + 76 * q^87 + 12 * q^88 + 40 * q^90 - 48 * q^91 + 84 * q^93 + 4 * q^96 + 104 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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