LMFDB - Embedded newform 230.2.l.a.7.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(7,230)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(44))

chi = DirichletCharacter(H, H._module([11, 38]))

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

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

chi := DirichletCharacter("230.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.l (of order $44$, degree $20$, 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:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{44})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label			7.6
Character	$\chi$	$=$	230.7
Dual form			230.2.l.a.33.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.997452 + 0.0713392i) q^{2} +(0.445581 - 2.04831i) q^{3} +(0.989821 - 0.142315i) q^{4} +(0.313060 - 2.21404i) q^{5} +(-0.298322 + 2.07487i) q^{6} +(0.390085 - 0.714388i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-1.26811 - 0.579129i) q^{9} +(-0.154315 + 2.23074i) q^{10} +(0.227504 - 0.197133i) q^{11} +(0.149542 - 2.09087i) q^{12} +(-2.16625 + 1.18286i) q^{13} +(-0.338128 + 0.740396i) q^{14} +(-4.39554 - 1.62778i) q^{15} +(0.959493 - 0.281733i) q^{16} +(-2.33418 - 3.11810i) q^{17} +(1.30620 + 0.487187i) q^{18} +(0.734740 + 5.11023i) q^{19} +(-0.00521751 - 2.23606i) q^{20} +(-1.28947 - 1.11733i) q^{21} +(-0.212861 + 0.212861i) q^{22} +(2.45971 - 4.11702i) q^{23} +2.09621i q^{24} +(-4.80399 - 1.38626i) q^{25} +(2.07635 - 1.33439i) q^{26} +(2.01736 - 2.69487i) q^{27} +(0.284447 - 0.762632i) q^{28} +(2.53852 + 0.364985i) q^{29} +(4.50047 + 1.31006i) q^{30} +(-1.50555 - 0.967558i) q^{31} +(-0.936950 + 0.349464i) q^{32} +(-0.302418 - 0.553837i) q^{33} +(2.55068 + 2.94364i) q^{34} +(-1.45957 - 1.08731i) q^{35} +(-1.33763 - 0.392762i) q^{36} +(-0.257255 - 0.689729i) q^{37} +(-1.09743 - 5.04480i) q^{38} +(1.45762 + 4.96421i) q^{39} +(0.164723 + 2.22999i) q^{40} +(-0.0867320 - 0.189917i) q^{41} +(1.36589 + 1.02250i) q^{42} +(10.0465 + 2.18548i) q^{43} +(0.197133 - 0.227504i) q^{44} +(-1.67921 + 2.62636i) q^{45} +(-2.15974 + 4.28200i) q^{46} +(8.33589 + 8.33589i) q^{47} +(-0.149542 - 2.09087i) q^{48} +(3.42630 + 5.33143i) q^{49} +(4.89064 + 1.04001i) q^{50} +(-7.42690 + 3.39175i) q^{51} +(-1.97587 + 1.47912i) q^{52} +(-8.05563 - 4.39871i) q^{53} +(-1.81997 + 2.83192i) q^{54} +(-0.365240 - 0.565419i) q^{55} +(-0.229317 + 0.780981i) q^{56} +(10.7947 + 0.772052i) q^{57} +(-2.55809 - 0.182959i) q^{58} +(-0.263189 + 0.896340i) q^{59} +(-4.58246 - 0.985661i) q^{60} +(-2.69749 + 4.19738i) q^{61} +(1.57074 + 0.857688i) q^{62} +(-0.908396 + 0.680016i) q^{63} +(0.909632 - 0.415415i) q^{64} +(1.94075 + 5.16649i) q^{65} +(0.341158 + 0.530852i) q^{66} +(0.705970 + 9.87075i) q^{67} +(-2.75418 - 2.75418i) q^{68} +(-7.33690 - 6.87271i) q^{69} +(1.53342 + 0.980418i) q^{70} +(5.22431 - 6.02918i) q^{71} +(1.36224 + 0.296336i) q^{72} +(3.89022 + 2.91218i) q^{73} +(0.305805 + 0.669619i) q^{74} +(-4.98005 + 9.22234i) q^{75} +(1.45452 + 4.95365i) q^{76} +(-0.0520837 - 0.239425i) q^{77} +(-1.80805 - 4.84758i) q^{78} +(11.3120 + 3.32150i) q^{79} +(-0.323389 - 2.21256i) q^{80} +(-7.35984 - 8.49371i) q^{81} +(0.100060 + 0.183245i) q^{82} +(1.05349 - 0.392931i) q^{83} +(-1.43536 - 0.922448i) q^{84} +(-7.63436 + 4.19183i) q^{85} +(-10.1768 - 1.46321i) q^{86} +(1.87872 - 5.03704i) q^{87} +(-0.180401 + 0.240988i) q^{88} +(11.4942 - 7.38685i) q^{89} +(1.48757 - 2.73946i) q^{90} +2.00896i q^{91} +(1.84876 - 4.42516i) q^{92} +(-2.65270 + 2.65270i) q^{93} +(-8.90933 - 7.71997i) q^{94} +(11.5443 - 0.0269369i) q^{95} +(0.298322 + 2.07487i) q^{96} +(-11.4609 - 4.27471i) q^{97} +(-3.79791 - 5.07342i) q^{98} +(-0.402667 + 0.118234i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) $ 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{19}{22}\right)$

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 $

$2$	−0.997452	+	0.0713392i	−0.705305	+	0.0504444i
$2$	−0.997452	+	0.0713392i	−0.705305	+	0.0504444i
$3$	0.445581	−	2.04831i	0.257257	−	1.18259i	−0.649309	−	0.760525i	$-0.724942\pi$
$3$	0.445581	−	2.04831i	0.257257	−	1.18259i	0.906566	−	0.422065i	$-0.138695\pi$
$4$	0.989821	−	0.142315i	0.494911	−	0.0711574i
$5$	0.313060	−	2.21404i	0.140005	−	0.990151i
$5$	0.313060	−	2.21404i	0.140005	−	0.990151i
$6$	−0.298322	+	2.07487i	−0.121789	+	0.847064i
$7$	0.390085	−	0.714388i	0.147438	−	0.270013i	−0.793514	−	0.608552i	$-0.791751\pi$
$7$	0.390085	−	0.714388i	0.147438	−	0.270013i	0.940953	+	0.338539i	$0.109933\pi$
$8$	−0.977147	+	0.212565i	−0.345474	+	0.0751532i
$9$	−1.26811	−	0.579129i	−0.422705	−	0.193043i
$10$	−0.154315	+	2.23074i	−0.0487986	+	0.705421i
$11$	0.227504	−	0.197133i	0.0685951	−	0.0594380i	−0.619888	−	0.784690i	$-0.712822\pi$
$11$	0.227504	−	0.197133i	0.0685951	−	0.0594380i	0.688484	+	0.725252i	$0.258277\pi$
$12$	0.149542	−	2.09087i	0.0431690	−	0.603582i
$13$	−2.16625	+	1.18286i	−0.600811	+	0.328068i	−0.750708	−	0.660634i	$-0.770288\pi$
$13$	−2.16625	+	1.18286i	−0.600811	+	0.328068i	0.149897	+	0.988702i	$0.452106\pi$
$14$	−0.338128	+	0.740396i	−0.0903684	+	0.197879i
$15$	−4.39554	−	1.62778i	−1.13492	−	0.420291i
$16$	0.959493	−	0.281733i	0.239873	−	0.0704331i
$17$	−2.33418	−	3.11810i	−0.566123	−	0.756251i	0.422550	−	0.906340i	$-0.361135\pi$
$17$	−2.33418	−	3.11810i	−0.566123	−	0.756251i	−0.988673	+	0.150088i	$0.952044\pi$
$18$	1.30620	+	0.487187i	0.307874	+	0.114831i
$19$	0.734740	+	5.11023i	0.168561	+	1.17237i	0.881861	+	0.471509i	$0.156291\pi$
$19$	0.734740	+	5.11023i	0.168561	+	1.17237i	−0.713300	+	0.700859i	$0.752800\pi$
$20$	−0.00521751	−	2.23606i	−0.00116667	−	0.499999i
$21$	−1.28947	−	1.11733i	−0.281385	−	0.243822i
$22$	−0.212861	+	0.212861i	−0.0453821	+	0.0453821i
$23$	2.45971	−	4.11702i	0.512885	−	0.858457i
$23$	2.45971	−	4.11702i	0.512885	−	0.858457i
$24$			2.09621i			0.427887i
$25$	−4.80399	−	1.38626i	−0.960797	−	0.277252i
$26$	2.07635	−	1.33439i	0.407206	−	0.261695i
$27$	2.01736	−	2.69487i	0.388240	−	0.518628i
$28$	0.284447	−	0.762632i	0.0537554	−	0.144124i
$29$	2.53852	+	0.364985i	0.471392	+	0.0677760i	0.373917	−	0.927462i	$-0.378014\pi$
$29$	2.53852	+	0.364985i	0.471392	+	0.0677760i	0.0974748	+	0.995238i	$0.468923\pi$
$30$	4.50047	+	1.31006i	0.821670	+	0.239183i
$31$	−1.50555	−	0.967558i	−0.270405	−	0.173778i	0.398411	−	0.917207i	$-0.369562\pi$
$31$	−1.50555	−	0.967558i	−0.270405	−	0.173778i	−0.668815	+	0.743429i	$0.733198\pi$
$32$	−0.936950	+	0.349464i	−0.165631	+	0.0617771i
$33$	−0.302418	−	0.553837i	−0.0526442	−	0.0964106i
$34$	2.55068	+	2.94364i	0.437438	+	0.504830i
$35$	−1.45957	−	1.08731i	−0.246712	−	0.183789i
$36$	−1.33763	−	0.392762i	−0.222938	−	0.0654604i
$37$	−0.257255	−	0.689729i	−0.0422925	−	0.113391i	0.914087	−	0.405519i	$-0.132909\pi$
$37$	−0.257255	−	0.689729i	−0.0422925	−	0.113391i	−0.956379	+	0.292128i	$0.905637\pi$
$38$	−1.09743	−	5.04480i	−0.178026	−	0.818374i
$39$	1.45762	+	4.96421i	0.233407	+	0.794910i
$40$	0.164723	+	2.22999i	0.0260450	+	0.352593i
$41$	−0.0867320	−	0.189917i	−0.0135453	−	0.0296600i	0.902738	−	0.430190i	$-0.141553\pi$
$41$	−0.0867320	−	0.189917i	−0.0135453	−	0.0296600i	−0.916284	+	0.400530i	$0.868826\pi$
$42$	1.36589	+	1.02250i	0.210762	+	0.157774i
$43$	10.0465	+	2.18548i	1.53208	+	0.333283i	0.898003	−	0.439988i	$-0.145017\pi$
$43$	10.0465	+	2.18548i	1.53208	+	0.333283i	0.634075	+	0.773272i	$0.281381\pi$
$44$	0.197133	−	0.227504i	0.0297190	−	0.0342975i
$45$	−1.67921	+	2.62636i	−0.250322	+	0.391515i
$46$	−2.15974	+	4.28200i	−0.318436	+	0.631346i
$47$	8.33589	+	8.33589i	1.21591	+	1.21591i	0.969050	+	0.246864i	$0.0794002\pi$
$47$	8.33589	+	8.33589i	1.21591	+	1.21591i	0.246864	+	0.969050i	$0.420600\pi$
$48$	−0.149542	−	2.09087i	−0.0215845	−	0.301791i
$49$	3.42630	+	5.33143i	0.489472	+	0.761633i
$50$	4.89064	+	1.04001i	0.691641	+	0.147080i
$51$	−7.42690	+	3.39175i	−1.03997	+	0.474940i
$52$	−1.97587	+	1.47912i	−0.274003	+	0.205116i
$53$	−8.05563	−	4.39871i	−1.10653	−	0.604209i	−0.181225	−	0.983442i	$-0.558006\pi$
$53$	−8.05563	−	4.39871i	−1.10653	−	0.604209i	−0.925301	+	0.379233i	$0.876188\pi$
$54$	−1.81997	+	2.83192i	−0.247666	+	0.385376i
$55$	−0.365240	−	0.565419i	−0.0492489	−	0.0762411i
$56$	−0.229317	+	0.780981i	−0.0306437	+	0.104363i
$57$	10.7947	+	0.772052i	1.42979	+	0.102261i
$58$	−2.55809	−	0.182959i	−0.335894	−	0.0240236i
$59$	−0.263189	+	0.896340i	−0.0342643	+	0.116693i	−0.974849	−	0.222864i	$-0.928459\pi$
$59$	−0.263189	+	0.896340i	−0.0342643	+	0.116693i	0.940585	+	0.339558i	$0.110277\pi$
$60$	−4.58246	−	0.985661i	−0.591593	−	0.127248i
$61$	−2.69749	+	4.19738i	−0.345379	+	0.537420i	−0.969873	−	0.243609i	$-0.921669\pi$
$61$	−2.69749	+	4.19738i	−0.345379	+	0.537420i	0.624495	+	0.781029i	$0.285305\pi$
$62$	1.57074	+	0.857688i	0.199484	+	0.108926i
$63$	−0.908396	+	0.680016i	−0.114447	+	0.0856740i
$64$	0.909632	−	0.415415i	0.113704	−	0.0519269i
$65$	1.94075	+	5.16649i	0.240720	+	0.640825i
$66$	0.341158	+	0.530852i	0.0419936	+	0.0653433i
$67$	0.705970	+	9.87075i	0.0862479	+	1.20590i	0.837706	+	0.546122i	$0.183897\pi$
$67$	0.705970	+	9.87075i	0.0862479	+	1.20590i	−0.751458	+	0.659781i	$0.770649\pi$
$68$	−2.75418	−	2.75418i	−0.333993	−	0.333993i
$69$	−7.33690	−	6.87271i	−0.883259	−	0.827377i
$70$	1.53342	+	0.980418i	0.183278	+	0.117182i
$71$	5.22431	−	6.02918i	0.620012	−	0.715532i	−0.355697	−	0.934601i	$-0.615757\pi$
$71$	5.22431	−	6.02918i	0.620012	−	0.715532i	0.975709	+	0.219069i	$0.0703020\pi$
$72$	1.36224	+	0.296336i	0.160541	+	0.0349236i
$73$	3.89022	+	2.91218i	0.455316	+	0.340845i	0.802192	−	0.597066i	$-0.203667\pi$
$73$	3.89022	+	2.91218i	0.455316	+	0.340845i	−0.346876	+	0.937911i	$0.612758\pi$
$74$	0.305805	+	0.669619i	0.0355491	+	0.0778416i
$75$	−4.98005	+	9.22234i	−0.575047	+	1.06490i
$76$	1.45452	+	4.95365i	0.166845	+	0.568223i
$77$	−0.0520837	−	0.239425i	−0.00593549	−	0.0272850i
$78$	−1.80805	−	4.84758i	−0.204722	−	0.548880i
$79$	11.3120	+	3.32150i	1.27270	+	0.373697i	0.847206	−	0.531265i	$-0.178283\pi$
$79$	11.3120	+	3.32150i	1.27270	+	0.373697i	0.425491	+	0.904963i	$0.360101\pi$
$80$	−0.323389	−	2.21256i	−0.0361560	−	0.247372i
$81$	−7.35984	−	8.49371i	−0.817760	−	0.943745i
$82$	0.100060	+	0.183245i	0.0110497	+	0.0202361i
$83$	1.05349	−	0.392931i	0.115635	−	0.0431298i	−0.290981	−	0.956729i	$-0.593981\pi$
$83$	1.05349	−	0.392931i	0.115635	−	0.0431298i	0.406616	+	0.913599i	$0.366709\pi$
$84$	−1.43536	−	0.922448i	−0.156610	−	0.100647i
$85$	−7.63436	+	4.19183i	−0.828063	+	0.454668i
$86$	−10.1768	−	1.46321i	−1.09740	−	0.157782i
$87$	1.87872	−	5.03704i	0.201420	−	0.540028i
$88$	−0.180401	+	0.240988i	−0.0192308	+	0.0256894i
$89$	11.4942	−	7.38685i	1.21838	−	0.783004i	0.236337	−	0.971671i	$-0.424053\pi$
$89$	11.4942	−	7.38685i	1.21838	−	0.783004i	0.982041	+	0.188667i	$0.0604167\pi$
$90$	1.48757	−	2.73946i	0.156804	−	0.288765i
$91$			2.00896i			0.210597i
$92$	1.84876	−	4.42516i	0.192747	−	0.461355i
$93$	−2.65270	+	2.65270i	−0.275072	+	0.275072i
$94$	−8.90933	−	7.71997i	−0.918927	−	0.796255i
$95$	11.5443	−	0.0269369i	1.18442	−	0.00276367i
$96$	0.298322	+	2.07487i	0.0304473	+	0.211766i
$97$	−11.4609	−	4.27471i	−1.16368	−	0.434031i	−0.307926	−	0.951410i	$-0.599635\pi$
$97$	−11.4609	−	4.27471i	−1.16368	−	0.434031i	−0.855756	+	0.517380i	$0.826907\pi$
$98$	−3.79791	−	5.07342i	−0.383647	−	0.512492i
$99$	−0.402667	+	0.118234i	−0.0404696	+	0.0118829i
$100$	−4.95237	−	0.688471i	−0.495237	−	0.0688471i
$101$	−0.0176928	+	0.0387419i	−0.00176050	+	0.00385496i	−0.910510	−	0.413487i	$-0.864311\pi$
$101$	−0.0176928	+	0.0387419i	−0.00176050	+	0.00385496i	0.908750	+	0.417342i	$0.137038\pi$
$102$	7.16601	−	3.91294i	0.709541	−	0.387439i
$103$	0.920342	−	12.8681i	0.0906840	−	1.26793i	−0.724723	−	0.689040i	$-0.758032\pi$
$103$	0.920342	−	12.8681i	0.0906840	−	1.26793i	0.815407	−	0.578888i	$-0.196513\pi$
$104$	1.86531	−	1.61630i	0.182909	−	0.158492i
$105$	−2.87750	+	2.50515i	−0.280816	+	0.244478i
$106$	8.34891	+	3.81282i	0.810917	+	0.370334i
$107$	−11.2346	+	2.44394i	−1.08609	+	0.236264i	−0.719761	−	0.694222i	$-0.755749\pi$
$107$	−11.2346	+	2.44394i	−1.08609	+	0.236264i	−0.366328	+	0.930486i	$0.619385\pi$
$108$	1.61330	−	2.95454i	0.155240	−	0.284301i
$109$	2.48985	−	17.3173i	0.238485	−	1.65870i	−0.421061	−	0.907032i	$-0.638342\pi$
$109$	2.48985	−	17.3173i	0.238485	−	1.65870i	0.659545	−	0.751665i	$-0.270749\pi$
$110$	0.404646	+	0.537922i	0.0385815	+	0.0512889i
$111$	−1.52740	+	0.219607i	−0.144975	+	0.0208442i
$112$	0.173018	−	0.795350i	0.0163486	−	0.0751535i
$113$	8.64161	−	0.618060i	0.812934	−	0.0581422i	0.341320	−	0.939947i	$-0.389126\pi$
$113$	8.64161	−	0.618060i	0.812934	−	0.0581422i	0.471614	+	0.881805i	$0.343671\pi$
$114$	−10.8223			−1.01360
$115$	−8.34522	−	6.73479i	−0.778196	−	0.628022i
$116$	2.56463			0.238120
$117$	3.43209	−	0.245468i	0.317297	−	0.0226935i
$118$	0.198574	−	0.912832i	0.0182803	−	0.0840330i
$119$	−3.13807	+	0.451186i	−0.287666	+	0.0413601i
$120$	4.64110	+	0.656240i	0.423673	+	0.0599063i
$121$	−1.55257	+	10.7983i	−0.141142	+	0.981667i
$122$	2.39118	−	4.37912i	0.216487	−	0.396467i
$123$	−0.427653	+	0.0930303i	−0.0385602	+	0.00838826i
$124$	−1.62792	−	0.743447i	−0.146192	−	0.0667635i
$125$	−4.57318	+	10.2023i	−0.409037	+	0.912518i
$126$	0.857569	−	0.743088i	0.0763983	−	0.0661995i
$127$	−0.417232	+	5.83366i	−0.0370233	+	0.517654i	0.944774	+	0.327722i	$0.106281\pi$
$127$	−0.417232	+	5.83366i	−0.0370233	+	0.517654i	−0.981797	+	0.189931i	$0.939173\pi$
$128$	−0.877679	+	0.479249i	−0.0775766	+	0.0423600i
$129$	8.95308	−	19.6045i	0.788275	−	1.72608i
$130$	−2.30438	−	5.01488i	−0.202107	−	0.439834i
$131$	−5.15494	+	1.51363i	−0.450389	+	0.132246i	−0.499057	−	0.866569i	$-0.666320\pi$
$131$	−5.15494	+	1.51363i	−0.450389	+	0.132246i	0.0486686	+	0.998815i	$0.484502\pi$
$132$	−0.378159	−	0.505161i	−0.0329145	−	0.0439686i
$133$	3.93730	+	1.46854i	0.341407	+	0.127338i
$134$	−1.40834	−	9.79523i	−0.121662	−	0.846179i
$135$	−5.33501	−	5.31017i	−0.459165	−	0.457027i
$136$	2.94364	+	2.55068i	0.252415	+	0.218719i
$137$	−0.574330	+	0.574330i	−0.0490683	+	0.0490683i	−0.731215	−	0.682147i	$-0.761046\pi$
$137$	−0.574330	+	0.574330i	−0.0490683	+	0.0490683i	0.682147	+	0.731215i	$0.261046\pi$
$138$	7.80850	+	6.33179i	0.664704	+	0.538997i
$139$			9.74328i			0.826414i	0.910637	+	0.413207i	$0.135591\pi$
$139$			9.74328i			0.826414i	−0.910637	+	0.413207i	$0.864409\pi$
$140$	−1.59945	−	0.868528i	−0.135178	−	0.0734040i
$141$	20.7888	−	13.3601i	1.75073	−	1.12513i
$142$	−4.78089	+	6.38652i	−0.401203	+	0.535945i
$143$	−0.259650	+	0.696148i	−0.0217130	+	0.0582148i
$144$	−1.37991	−	0.198401i	−0.114992	−	0.0165334i
$145$	1.60280	−	5.50614i	0.133106	−	0.457260i
$146$	−4.08806	−	2.62724i	−0.338331	−	0.217432i
$147$	12.4471	−	4.64253i	1.02662	−	0.382909i
$148$	−0.352796	−	0.646097i	−0.0289996	−	0.0531088i
$149$	3.61941	+	4.17702i	0.296513	+	0.342195i	0.884384	−	0.466760i	$-0.154579\pi$
$149$	3.61941	+	4.17702i	0.296513	+	0.342195i	−0.587870	+	0.808955i	$0.700034\pi$
$150$	4.30945	−	9.55411i	0.351865	−	0.780090i
$151$	8.89604	+	2.61211i	0.723950	+	0.212571i	0.622890	−	0.782310i	$-0.285958\pi$
$151$	8.89604	+	2.61211i	0.723950	+	0.212571i	0.101060	+	0.994880i	$0.467777\pi$
$152$	−1.80421	−	4.83727i	−0.146341	−	0.392354i
$153$	1.15423	+	5.30591i	0.0933139	+	0.428957i
$154$	0.0690314	+	0.235099i	0.00556271	+	0.0189449i
$155$	−2.61354	+	3.03045i	−0.209925	+	0.243411i
$156$	2.14927	+	4.70624i	0.172079	+	0.376801i
$157$	−17.5797	−	13.1600i	−1.40301	−	1.05028i	−0.990229	−	0.139454i	$-0.955465\pi$
$157$	−17.5797	−	13.1600i	−1.40301	−	1.05028i	−0.412785	−	0.910829i	$-0.635444\pi$
$158$	−11.5201	−	2.50605i	−0.916490	−	0.199370i
$159$	−12.5993	+	14.5404i	−0.999192	+	1.15313i
$160$	0.480407	+	2.18385i	0.0379795	+	0.172649i
$161$	−1.98165	−	3.36318i	−0.156176	−	0.265055i
$162$	7.94702	+	7.94702i	0.624377	+	0.624377i
$163$	1.45945	+	20.4057i	0.114313	+	1.59830i	0.654041	+	0.756459i	$0.273073\pi$
$163$	1.45945	+	20.4057i	0.114313	+	1.59830i	−0.539728	+	0.841839i	$0.681473\pi$
$164$	−0.112877	−	0.175640i	−0.00881423	−	0.0137152i
$165$	−1.32089	+	0.496182i	−0.102832	+	0.0386277i
$166$	−1.02277	+	0.467085i	−0.0793826	+	0.0362528i
$167$	−16.6406	+	12.4570i	−1.28768	+	0.963949i	−0.287704	+	0.957719i	$0.592892\pi$
$167$	−16.6406	+	12.4570i	−1.28768	+	0.963949i	−0.999981	+	0.00622950i	$0.998017\pi$
$168$	1.49751	+	0.817701i	0.115535	+	0.0630870i
$169$	−3.73484	+	5.81152i	−0.287295	+	0.447040i
$170$	7.31587	−	4.72578i	0.561101	−	0.362451i
$171$	2.02775	−	6.90587i	0.155066	−	0.528105i
$172$	10.2553	+	0.733472i	0.781958	+	0.0559267i
$173$	−17.2471	−	1.23353i	−1.31127	−	0.0937839i	−0.601872	−	0.798592i	$-0.705578\pi$
$173$	−17.2471	−	1.23353i	−1.31127	−	0.0937839i	−0.709398	+	0.704809i	$0.751033\pi$
$174$	−1.51459	+	5.15823i	−0.114821	+	0.391045i
$175$	−2.86429	+	2.89115i	−0.216520	+	0.218550i
$176$	0.162750	−	0.253243i	0.0122677	−	0.0190889i
$177$	1.71871	+	0.938484i	0.129186	+	0.0705408i
$178$	−10.9379	+	8.18801i	−0.819830	+	0.613717i
$179$	−14.9118	+	6.80998i	−1.11456	+	0.509002i	−0.885607	−	0.464436i	$-0.846257\pi$
$179$	−14.9118	+	6.80998i	−1.11456	+	0.509002i	−0.228952	+	0.973438i	$0.573530\pi$
$180$	−1.28835	+	2.83860i	−0.0960280	+	0.211577i
$181$	−7.04082	−	10.9557i	−0.523340	−	0.814333i	0.474484	−	0.880264i	$-0.342635\pi$
$181$	−7.04082	−	10.9557i	−0.523340	−	0.814333i	−0.997824	+	0.0659311i	$0.978998\pi$
$182$	−0.143318	−	2.00385i	−0.0106234	−	0.148535i
$183$	7.39556	+	7.39556i	0.546696	+	0.546696i
$184$	−1.52836	+	4.54578i	−0.112673	+	0.335119i
$185$	−1.60763	+	0.353648i	−0.118195	+	0.0260007i
$186$	2.45670	−	2.83518i	0.180134	−	0.207886i
$187$	−1.14572	−	0.249236i	−0.0837833	−	0.0182259i
$188$	9.43736	+	7.06472i	0.688290	+	0.515248i
$189$	−1.13824	−	2.49240i	−0.0827950	−	0.181296i
$190$	−11.5130	+	0.850429i	−0.835238	+	0.0616966i
$191$	−2.53147	−	8.62141i	−0.183171	−	0.623823i	−0.998965	−	0.0454809i	$-0.985518\pi$
$191$	−2.53147	−	8.62141i	−0.183171	−	0.623823i	0.815794	−	0.578342i	$-0.196300\pi$
$192$	−0.445581	−	2.04831i	−0.0321571	−	0.147824i
$193$	6.33647	+	16.9887i	0.456109	+	1.22287i	0.937997	+	0.346642i	$0.112678\pi$
$193$	6.33647	+	16.9887i	0.456109	+	1.22287i	−0.481889	+	0.876232i	$0.660049\pi$
$194$	11.7367	+	3.44620i	0.842645	+	0.247423i
$195$	11.4473	−	1.67315i	0.819759	−	0.119817i
$196$	4.15017	+	4.78955i	0.296441	+	0.342111i
$197$	7.32240	+	13.4100i	0.521699	+	0.955421i	0.997133	+	0.0756696i	$0.0241094\pi$
$197$	7.32240	+	13.4100i	0.521699	+	0.955421i	−0.475433	+	0.879752i	$0.657709\pi$
$198$	0.393206	−	0.146658i	0.0279440	−	0.0104226i
$199$	8.28311	+	5.32323i	0.587174	+	0.377354i	0.800236	−	0.599685i	$-0.204707\pi$
$199$	8.28311	+	5.32323i	0.587174	+	0.377354i	−0.213062	+	0.977039i	$0.568344\pi$
$200$	4.98887	+	0.333418i	0.352766	+	0.0235762i
$201$	20.5329	+	2.95218i	1.44828	+	0.208231i
$202$	0.0148839	−	0.0399053i	0.00104723	−	0.00280773i
$203$	1.25098	−	1.67112i	0.0878017	−	0.117289i
$204$	−6.86861	+	4.41418i	−0.480899	+	0.309055i
$205$	−0.447636	+	0.132573i	−0.0312643	+	0.00925931i
$206$			12.9009i			0.898850i
$207$	−5.50348	+	3.79636i	−0.382518	+	0.263865i
$208$	−1.74525	+	1.74525i	−0.121012	+	0.121012i
$209$	1.17455	+	1.01776i	0.0812456	+	0.0703997i
$210$	2.69146	−	2.70405i	0.185728	−	0.186597i
$211$	−1.26338	−	8.78703i	−0.0869749	−	0.604924i	−0.985965	−	0.166954i	$-0.946607\pi$
$211$	−1.26338	−	8.78703i	−0.0869749	−	0.604924i	0.898990	−	0.437970i	$-0.144302\pi$
$212$	−8.59964	−	3.20750i	−0.590625	−	0.220292i
$213$	−10.0217	−	13.3875i	−0.686678	−	0.917295i
$214$	11.0316	−	3.23917i	0.754106	−	0.221425i
$215$	7.98392	−	21.5592i	0.544499	−	1.47033i
$216$	−1.39842	+	3.06210i	−0.0951502	+	0.208350i
$217$	−1.27850	+	0.698116i	−0.0867905	+	0.0473912i
$218$	−1.24811	+	17.4508i	−0.0845324	+	1.18192i
$219$	7.69845	−	6.67075i	0.520213	−	0.450767i
$220$	−0.441990	−	0.507685i	−0.0297989	−	0.0342281i
$221$	8.74473	+	3.99358i	0.588234	+	0.268638i
$222$	1.50784	−	0.328012i	0.101200	−	0.0220147i
$223$	8.42256	−	15.4248i	0.564016	−	1.03292i	−0.427633	−	0.903953i	$-0.640652\pi$
$223$	8.42256	−	15.4248i	0.564016	−	1.03292i	0.991649	−	0.128966i	$-0.0411659\pi$
$224$	−0.115837	+	0.805667i	−0.00773971	+	0.0538309i
$225$	5.28918	+	4.54006i	0.352612	+	0.302671i
$226$	−8.57550	+	1.23297i	−0.570434	+	0.0820160i
$227$	−2.69194	+	12.3747i	−0.178670	+	0.821335i	0.797326	+	0.603549i	$0.206247\pi$
$227$	−2.69194	+	12.3747i	−0.178670	+	0.821335i	−0.975997	+	0.217786i	$0.930117\pi$
$228$	10.7947	−	0.772052i	0.714897	−	0.0511304i
$229$	−9.06938			−0.599322			−0.299661	−	0.954046i	$-0.596873\pi$
$229$	−9.06938			−0.599322			−0.299661	+	0.954046i	$0.596873\pi$
$230$	8.80441	+	6.12229i	0.580546	+	0.403692i
$231$	−0.513623			−0.0337939
$232$	−2.55809	+	0.182959i	−0.167947	+	0.0120118i
$233$	−5.33646	+	24.5313i	−0.349603	+	1.60710i	0.381188	+	0.924497i	$0.375515\pi$
$233$	−5.33646	+	24.5313i	−0.349603	+	1.60710i	−0.730791	+	0.682601i	$0.760849\pi$
$234$	−3.40583	+	0.489685i	−0.222646	+	0.0320117i
$235$	21.0657	−	15.8464i	1.37417	−	1.03370i
$236$	−0.132948	+	0.924672i	−0.00865416	+	0.0601910i
$237$	11.8438	−	21.6904i	0.769340	−	1.40894i
$238$	3.09788	−	0.673903i	0.200806	−	0.0436827i
$239$	−1.22371	−	0.558848i	−0.0791549	−	0.0361489i	0.375444	−	0.926845i	$-0.377490\pi$
$239$	−1.22371	−	0.558848i	−0.0791549	−	0.0361489i	−0.454599	+	0.890696i	$0.650217\pi$
$240$	−4.67609	−	0.323476i	−0.301841	−	0.0208803i
$241$	16.6323	−	14.4120i	1.07138	−	0.928357i	0.0737588	−	0.997276i	$-0.476500\pi$
$241$	16.6323	−	14.4120i	1.07138	−	0.928357i	0.997622	+	0.0689191i	$0.0219550\pi$
$242$	0.778266	−	10.8816i	0.0500289	−	0.699495i
$243$	−11.8135	+	6.45065i	−0.757836	+	0.413810i
$244$	−2.07269	+	4.53855i	−0.132690	+	0.290551i
$245$	12.8767	−	5.91693i	0.822660	−	0.378019i
$246$	0.419927	−	0.123302i	0.0267736	−	0.00786143i
$247$	−7.63635	−	10.2010i	−0.485889	−	0.649072i
$248$	1.67681	+	0.625418i	0.106478	+	0.0397141i
$249$	−0.335427	−	2.33295i	−0.0212568	−	0.147845i
$250$	3.83370	−	10.5025i	0.242465	−	0.664237i
$251$	6.92815	+	6.00328i	0.437301	+	0.378923i	0.845505	−	0.533967i	$-0.179299\pi$
$251$	6.92815	+	6.00328i	0.437301	+	0.378923i	−0.408204	+	0.912891i	$0.633845\pi$
$252$	−0.802373	+	0.802373i	−0.0505447	+	0.0505447i
$253$	−0.252007	−	1.42153i	−0.0158435	−	0.0893708i
$254$		−	5.84856i		−	0.366972i
$255$	5.18442	+	17.5053i	0.324661	+	1.09622i
$256$	0.841254	−	0.540641i	0.0525783	−	0.0337901i
$257$	−13.8005	+	18.4353i	−0.860850	+	1.14996i	0.126589	+	0.991955i	$0.459597\pi$
$257$	−13.8005	+	18.4353i	−0.860850	+	1.14996i	−0.987438	+	0.158005i	$0.949494\pi$
$258$	−7.53170	+	20.1933i	−0.468903	+	1.25718i
$259$	−0.593086	−	0.0852728i	−0.0368525	−	0.00529860i
$260$	2.65626	+	4.83771i	0.164734	+	0.300022i
$261$	−3.00777	−	1.93297i	−0.186176	−	0.119648i
$262$	5.03382	−	1.87752i	0.310991	−	0.115993i
$263$	−6.96136	−	12.7488i	−0.429256	−	0.786123i	0.570116	−	0.821564i	$-0.306898\pi$
$263$	−6.96136	−	12.7488i	−0.429256	−	0.786123i	−0.999372	+	0.0354408i	$0.988716\pi$
$264$	0.413233	+	0.476896i	0.0254327	+	0.0293509i
$265$	−12.2608	+	16.4585i	−0.753177	+	1.01104i
$266$	−4.03203	−	1.18391i	−0.247220	−	0.0725903i
$267$	−10.0089	−	26.8350i	−0.612537	−	1.64227i
$268$	2.10354	+	9.66981i	0.128494	+	0.590677i
$269$	−4.07193	−	13.8677i	−0.248270	−	0.845529i	−0.985469	−	0.169854i	$-0.945670\pi$
$269$	−4.07193	−	13.8677i	−0.248270	−	0.845529i	0.737200	−	0.675675i	$-0.236148\pi$
$270$	5.70024	+	4.91605i	0.346906	+	0.299181i
$271$	−9.10100	−	19.9284i	−0.552846	−	1.21056i	−0.955440	−	0.295186i	$-0.904619\pi$
$271$	−9.10100	−	19.9284i	−0.552846	−	1.21056i	0.402594	−	0.915379i	$-0.368109\pi$
$272$	−3.11810	−	2.33418i	−0.189063	−	0.141531i
$273$	4.11497	+	0.895158i	0.249049	+	0.0541774i
$274$	0.531895	−	0.613839i	0.0321329	−	0.0370834i
$275$	−1.36620	+	0.631647i	−0.0823853	+	0.0380897i
$276$	−8.24031	−	5.75860i	−0.496008	−	0.346627i
$277$	12.6669	+	12.6669i	0.761080	+	0.761080i	0.976518	−	0.215438i	$-0.0691178\pi$
$277$	12.6669	+	12.6669i	0.761080	+	0.761080i	−0.215438	+	0.976518i	$0.569118\pi$
$278$	−0.695077	−	9.71845i	−0.0416880	−	0.582874i
$279$	1.34887	+	2.09888i	0.0807546	+	0.125657i
$280$	1.65734	+	0.752211i	0.0990448	+	0.0449532i
$281$	−11.4051	+	5.20854i	−0.680372	+	0.310715i	−0.725457	−	0.688268i	$-0.758371\pi$
$281$	−11.4051	+	5.20854i	−0.680372	+	0.310715i	0.0450850	+	0.998983i	$0.485644\pi$
$282$	−19.7827	+	14.8091i	−1.17804	+	0.881871i
$283$	−1.90736	−	1.04150i	−0.113381	−	0.0619105i	0.421558	−	0.906801i	$-0.361483\pi$
$283$	−1.90736	−	1.04150i	−0.113381	−	0.0619105i	−0.534939	+	0.844891i	$0.679665\pi$
$284$	4.31310	−	6.71131i	0.255935	−	0.398243i
$285$	5.08875	−	23.6582i	0.301432	−	1.40139i
$286$	0.209326	−	0.712897i	0.0123777	−	0.0421545i
$287$	−0.169507	−	0.0121234i	−0.0100057	−	0.000715621i
$288$	1.39054	+	0.0994537i	0.0819386	+	0.00586037i
$289$	0.515293	−	1.75493i	0.0303114	−	0.103231i
$290$	−1.20592	+	5.60646i	−0.0708138	+	0.329223i
$291$	−13.8627	+	21.5708i	−0.812645	+	1.26450i
$292$	4.26507	+	2.32891i	0.249594	+	0.136289i
$293$	−19.0883	+	14.2893i	−1.11515	+	0.834793i	−0.987593	−	0.157038i	$-0.949805\pi$
$293$	−19.0883	+	14.2893i	−1.11515	+	0.834793i	−0.127560	+	0.991831i	$0.540715\pi$
$294$	−12.0842	+	5.51866i	−0.704764	+	0.321855i
$295$	1.90214	+	0.863321i	0.110747	+	0.0502645i
$296$	0.397989	+	0.619283i	0.0231326	+	0.0359951i
$297$	−0.0722926	−	1.01078i	−0.00419484	−	0.0586515i
$298$	−3.90817	−	3.90817i	−0.226394	−	0.226394i
$299$	−0.458490	+	11.8280i	−0.0265152	+	0.684032i
$300$	−3.61688	+	9.83720i	−0.208821	+	0.567951i
$301$	5.48028	−	6.32458i	0.315878	−	0.364543i
$302$	−9.05972	−	1.97082i	−0.521329	−	0.113408i
$303$	0.0714716	+	0.0535029i	0.00410593	+	0.00307366i
$304$	2.14470	+	4.69623i	0.123007	+	0.269347i
$305$	8.44871	+	7.28640i	0.483772	+	0.417218i
$306$	−1.52981	−	5.21004i	−0.0874533	−	0.297838i
$307$	−5.79598	−	26.6437i	−0.330794	−	1.52064i	−0.779183	−	0.626797i	$-0.784366\pi$
$307$	−5.79598	−	26.6437i	−0.330794	−	1.52064i	0.448389	−	0.893839i	$-0.351998\pi$
$308$	−0.0856274	−	0.229576i	−0.00487907	−	0.0130813i
$309$	−25.9476	−	7.61891i	−1.47611	−	0.433425i
$310$	2.39069	−	3.20918i	0.135782	−	0.182269i
$311$	−13.2381	−	15.2776i	−0.750663	−	0.866311i	0.243970	−	0.969783i	$-0.421550\pi$
$311$	−13.2381	−	15.2776i	−0.750663	−	0.866311i	−0.994632	+	0.103472i	$0.967005\pi$
$312$	−2.47953	−	4.54093i	−0.140376	−	0.257079i
$313$	−8.09970	+	3.02103i	−0.457822	+	0.170759i	−0.567785	−	0.823177i	$-0.692199\pi$
$313$	−8.09970	+	3.02103i	−0.457822	+	0.170759i	0.109963	+	0.993936i	$0.464927\pi$
$314$	18.4737	+	11.8723i	1.04253	+	0.669995i
$315$	1.22120	+	2.22411i	0.0688070	+	0.125315i
$316$	11.6695	+	1.67783i	0.656462	+	0.0943851i
$317$	−9.76654	+	26.1851i	−0.548543	+	1.47070i	0.306361	+	0.951916i	$0.400889\pi$
$317$	−9.76654	+	26.1851i	−0.548543	+	1.47070i	−0.854904	+	0.518786i	$0.826384\pi$
$318$	11.5299	−	15.4022i	0.646566	−	0.863712i
$319$	0.649475	−	0.417393i	0.0363636	−	0.0233695i
$320$	−0.634978	−	2.14402i	−0.0354963	−	0.119854i
$321$			24.1008i			1.34518i
$322$	2.21653	+	3.21324i	0.123522	+	0.179067i
$323$	14.2192	−	14.2192i	0.791178	−	0.791178i
$324$	−8.49371	−	7.35984i	−0.471873	−	0.408880i
$325$	12.0464	−	2.67947i	0.668215	−	0.148631i
$326$	−2.91145	−	20.2496i	−0.161251	−	1.12152i
$327$	−34.3617	−	12.8162i	−1.90021	−	0.708740i
$328$	0.125120	+	0.167140i	0.00690857	+	0.00922878i
$329$	9.20677	−	2.70335i	0.507586	−	0.149041i
$330$	1.28213	−	0.589149i	0.0705790	−	0.0324316i
$331$	−7.66937	+	16.7936i	−0.421547	+	0.923059i	0.573077	+	0.819502i	$0.305750\pi$
$331$	−7.66937	+	16.7936i	−0.421547	+	0.923059i	−0.994624	+	0.103557i	$0.966978\pi$
$332$	0.986845	−	0.538858i	0.0541602	−	0.0295737i
$333$	−0.0732121	+	1.02364i	−0.00401200	+	0.0560951i
$334$	15.7095	−	13.6123i	0.859585	−	0.744835i
$335$	22.0753	+	1.52709i	1.20610	+	0.0834339i
$336$	−1.55203	−	0.708787i	−0.0846700	−	0.0386675i
$337$	19.1771	−	4.17172i	1.04464	−	0.227248i	0.342672	−	0.939455i	$-0.388668\pi$
$337$	19.1771	−	4.17172i	1.04464	−	0.227248i	0.701969	+	0.712207i	$0.252304\pi$
$338$	3.31073	−	6.06316i	0.180080	−	0.329792i
$339$	2.58457	−	17.9760i	0.140374	−	0.976325i
$340$	−6.96009	+	5.23565i	−0.377464	+	0.283943i
$341$	−0.533257	+	0.0766707i	−0.0288775	+	0.00415195i
$342$	−1.52992	+	7.03293i	−0.0827286	+	0.380297i
$343$	10.8284	−	0.774463i	0.584679	−	0.0418171i
$344$	−10.2815			−0.554340
$345$	−17.5134	+	14.0927i	−0.942888	+	0.758723i
$346$	17.2911			0.929576
$347$	26.3318	−	1.88329i	1.41357	−	0.101100i	0.656445	−	0.754374i	$-0.272059\pi$
$347$	26.3318	−	1.88329i	1.41357	−	0.101100i	0.757122	+	0.653273i	$0.226605\pi$
$348$	1.14275	−	5.25314i	0.0612579	−	0.281598i
$349$	−19.2927	+	2.77387i	−1.03271	+	0.148482i	−0.637772	−	0.770225i	$-0.720144\pi$
$349$	−19.2927	+	2.77387i	−1.03271	+	0.148482i	−0.394940	+	0.918707i	$0.629235\pi$
$350$	2.65074	−	3.08812i	0.141688	−	0.165067i
$351$	−1.18244	+	8.22404i	−0.0631139	+	0.438967i
$352$	−0.144269	+	0.264209i	−0.00768956	+	0.0140824i
$353$	12.6687	−	2.75591i	0.674289	−	0.146683i	0.137632	−	0.990483i	$-0.456051\pi$
$353$	12.6687	−	2.75591i	0.674289	−	0.146683i	0.536656	+	0.843801i	$0.319687\pi$
$354$	−1.78128	−	0.813482i	−0.0946738	−	0.0432361i
$355$	−11.7133	−	13.4544i	−0.621680	−	0.714083i
$356$	10.3259	−	8.94745i	0.547272	−	0.474214i
$357$	−0.474098	+	6.62876i	−0.0250919	+	0.350831i
$358$	14.3880	−	7.85642i	0.760427	−	0.415225i
$359$	10.4494	−	22.8811i	0.551500	−	1.20762i	−0.404578	−	0.914504i	$-0.632581\pi$
$359$	10.4494	−	22.8811i	0.551500	−	1.20762i	0.956078	−	0.293113i	$-0.0946913\pi$
$360$	1.08256	−	2.92328i	0.0570562	−	0.154070i
$361$	−7.34426	+	2.15647i	−0.386540	+	0.113498i
$362$	7.80445	+	10.4255i	0.410193	+	0.547954i
$363$	21.4265	+	7.99167i	1.12460	+	0.419454i
$364$	0.285906	+	1.98852i	0.0149855	+	0.104227i
$365$	7.66558	−	7.70144i	0.401235	−	0.403112i
$366$	−7.90431	−	6.84913i	−0.413165	−	0.358010i
$367$	−2.73519	+	2.73519i	−0.142776	+	0.142776i	−0.774882	−	0.632106i	$-0.782191\pi$
$367$	−2.73519	+	2.73519i	−0.142776	+	0.142776i	0.632106	+	0.774882i	$0.282191\pi$
$368$	1.20018	−	4.64323i	0.0625636	−	0.242045i
$369$			0.291065i			0.0151522i
$370$	1.57830	−	0.467434i	0.0820520	−	0.0243007i
$371$	−6.28477	+	4.03897i	−0.326289	+	0.209693i
$372$	−2.24818	+	3.00322i	−0.116563	+	0.155709i
$373$	4.47342	−	11.9937i	0.231625	−	0.621011i	−0.768190	−	0.640221i	$-0.778843\pi$
$373$	4.47342	−	11.9937i	0.231625	−	0.621011i	0.999815	+	0.0192106i	$0.00611530\pi$
$374$	1.16058	+	0.166866i	0.0600122	+	0.00862845i
$375$	18.8596	+	13.9132i	0.973906	+	0.718475i
$376$	−9.91731	−	6.37347i	−0.511446	−	0.328686i
$377$	−5.93082	+	2.21208i	−0.305453	+	0.113928i
$378$	1.31315	+	2.40485i	0.0675411	+	0.123692i
$379$	−7.86590	−	9.07773i	−0.404044	−	0.466292i	0.516866	−	0.856066i	$-0.327098\pi$
$379$	−7.86590	−	9.07773i	−0.404044	−	0.466292i	−0.920910	+	0.389775i	$0.872553\pi$
$380$	11.4230	−	1.66959i	0.585986	−	0.0856480i
$381$	11.7632	+	3.45399i	0.602648	+	0.176953i
$382$	3.14007	+	8.41885i	0.160660	+	0.430746i
$383$	1.21473	+	5.58401i	0.0620696	+	0.285329i	0.997711	−	0.0676228i	$-0.0215415\pi$
$383$	1.21473	+	5.58401i	0.0620696	+	0.285329i	−0.935641	+	0.352952i	$0.885178\pi$
$384$	0.590571	+	2.01130i	0.0301374	+	0.102639i
$385$	−0.546403	+	0.0403612i	−0.0278473	+	0.00205700i
$386$	−7.53228	−	16.4934i	−0.383383	−	0.839492i
$387$	−11.4745	−	8.58967i	−0.583279	−	0.436637i
$388$	−11.9526	−	2.60014i	−0.606803	−	0.132002i
$389$	−23.5502	+	27.1783i	−1.19404	+	1.37800i	−0.286474	+	0.958088i	$0.592483\pi$
$389$	−23.5502	+	27.1783i	−1.19404	+	1.37800i	−0.907566	+	0.419909i	$0.862062\pi$
$390$	−11.2988	+	2.48553i	−0.572136	+	0.125860i
$391$	−18.5787	+	1.94023i	−0.939565	+	0.0981218i
$392$	−4.48128	−	4.48128i	−0.226339	−	0.226339i
$393$	0.803423	+	11.2333i	0.0405273	+	0.566646i
$394$	−8.26040	−	12.8534i	−0.416153	−	0.647547i
$395$	10.8953	−	24.0054i	0.548200	−	1.20784i
$396$	−0.381742	+	0.174336i	−0.0191833	+	0.00876070i
$397$	24.9679	−	18.6907i	1.25310	−	0.938059i	0.253529	−	0.967328i	$-0.418409\pi$
$397$	24.9679	−	18.6907i	1.25310	−	0.938059i	0.999572	+	0.0292683i	$0.00931771\pi$
$398$	−8.64176	−	4.71876i	−0.433172	−	0.236530i
$399$	4.76240	−	7.41044i	0.238418	−	0.370986i
$400$	−4.99995	+	0.0233334i	−0.249997	+	0.00116667i
$401$	−8.94339	+	30.4584i	−0.446612	+	1.52102i	0.361717	+	0.932288i	$0.382191\pi$
$401$	−8.94339	+	30.4584i	−0.446612	+	1.52102i	−0.808329	+	0.588732i	$0.799627\pi$
$402$	−20.6912	−	1.47986i	−1.03198	−	0.0738087i
$403$	4.40589	+	0.315116i	0.219473	+	0.0156970i
$404$	−0.0119992	+	0.0408655i	−0.000596982	+	0.00203313i
$405$	−21.1095	+	13.6360i	−1.04894	+	0.677577i
$406$	−1.12858	+	1.75610i	−0.0560104	+	0.0871539i
$407$	−0.194495	−	0.106202i	−0.00964077	−	0.00526426i
$408$	6.53620	−	4.89294i	0.323590	−	0.242237i
$409$	−31.6575	+	14.4575i	−1.56536	+	0.714877i	−0.994359	−	0.106070i	$-0.966173\pi$
$409$	−31.6575	+	14.4575i	−1.56536	+	0.714877i	−0.571004	+	0.820947i	$0.693446\pi$
$410$	0.437038	−	0.164169i	0.0215838	−	0.00810775i
$411$	0.920493	+	1.43231i	0.0454046	+	0.0706509i
$412$	−0.920342	−	12.8681i	−0.0453420	−	0.633964i
$413$	0.537668	+	0.537668i	0.0264569	+	0.0264569i
$414$	5.21863	−	4.17930i	0.256481	−	0.205401i
$415$	−0.540161	−	2.45548i	−0.0265155	−	0.120535i
$416$	1.61630	−	1.86531i	0.0792458	−	0.0914545i
$417$	19.9572	+	4.34142i	0.977308	+	0.212600i
$418$	−1.24417	−	0.931372i	−0.0608542	−	0.0455549i
$419$	−1.63468	−	3.57946i	−0.0798595	−	0.174868i	0.865490	−	0.500925i	$-0.167007\pi$
$419$	−1.63468	−	3.57946i	−0.0798595	−	0.174868i	−0.945350	+	0.326058i	$0.894280\pi$
$420$	−2.49170	+	2.88916i	−0.121582	+	0.140977i
$421$	−2.56072	−	8.72101i	−0.124802	−	0.425036i	0.873261	−	0.487253i	$-0.162001\pi$
$421$	−2.56072	−	8.72101i	−0.124802	−	0.425036i	−0.998063	+	0.0622169i	$0.980183\pi$
$422$	1.88702	+	8.67451i	0.0918589	+	0.422269i
$423$	−5.74331	−	15.3984i	−0.279249	−	0.748697i
$424$	8.80655	+	2.58584i	0.427684	+	0.125579i
$425$	6.89088	+	18.2151i	0.334257	+	0.883563i
$426$	10.9513	+	12.6384i	0.530590	+	0.612334i
$427$	1.94631	+	3.56439i	0.0941883	+	0.172493i
$428$	−10.7724	+	4.01791i	−0.520705	+	0.194213i
$429$	1.31023	+	0.842033i	0.0632584	+	0.0406537i
$430$	−6.42556	+	22.0739i	−0.309868	+	1.06450i
$431$	9.50992	+	1.36732i	0.458077	+	0.0658615i	0.367491	−	0.930027i	$-0.380217\pi$
$431$	9.50992	+	1.36732i	0.458077	+	0.0658615i	0.0905860	+	0.995889i	$0.471126\pi$
$432$	1.17641	−	3.15406i	0.0565998	−	0.151750i
$433$	3.34858	−	4.47317i	0.160922	−	0.214967i	−0.712832	−	0.701335i	$-0.752588\pi$
$433$	3.34858	−	4.47317i	0.160922	−	0.214967i	0.873754	+	0.486368i	$0.161679\pi$
$434$	1.22544	−	0.787545i	0.0588232	−	0.0378034i
$435$	−10.5641	−	5.73647i	−0.506509	−	0.275043i
$436$		−	17.4954i		−	0.837877i
$437$	22.8462	+	9.54476i	1.09288	+	0.456588i
$438$	−7.20295	+	7.20295i	−0.344170	+	0.344170i
$439$	22.8695	+	19.8165i	1.09150	+	0.945790i	0.998754	−	0.0498996i	$-0.0158901\pi$
$439$	22.8695	+	19.8165i	1.09150	+	0.945790i	0.0927459	+	0.995690i	$0.470436\pi$
$440$	0.477081	+	0.474860i	0.0227440	+	0.0226381i
$441$	−1.25736	−	8.74513i	−0.0598743	−	0.416435i
$442$	−9.00735	−	3.35957i	−0.428436	−	0.159798i
$443$	−8.15863	−	10.8986i	−0.387628	−	0.517810i	0.563705	−	0.825977i	$-0.309376\pi$
$443$	−8.15863	−	10.8986i	−0.387628	−	0.517810i	−0.951333	+	0.308166i	$0.900285\pi$
$444$	−1.48060	+	0.434744i	−0.0702663	+	0.0206320i
$445$	−12.7564	−	27.7611i	−0.604713	−	1.31600i
$446$	−7.30071	+	15.9863i	−0.345699	+	0.756975i
$447$	10.1685	−	5.55245i	0.480956	−	0.262622i
$448$	0.0580666	−	0.811878i	0.00274339	−	0.0383576i
$449$	30.2476	−	26.2097i	1.42747	−	1.23691i	0.498431	−	0.866929i	$-0.333910\pi$
$449$	30.2476	−	26.2097i	1.42747	−	1.23691i	0.929039	−	0.369981i	$-0.120636\pi$
$450$	−5.59959	−	4.15117i	−0.263967	−	0.195688i
$451$	−0.0571708	−	0.0261090i	−0.00269207	−	0.00122943i
$452$	8.46569	−	1.84160i	0.398193	−	0.0866215i
$453$	9.31432	−	17.0579i	0.437625	−	0.801450i
$454$	1.80228	−	12.5352i	0.0845854	−	0.588304i
$455$	4.44794	+	0.628927i	0.208523	+	0.0294846i
$456$	−10.7121	+	1.54017i	−0.501641	+	0.0721251i
$457$	−1.03535	+	4.75942i	−0.0484316	+	0.222636i	−0.995001	−	0.0998632i	$-0.968159\pi$
$457$	−1.03535	+	4.75942i	−0.0484316	+	0.222636i	0.946570	+	0.322500i	$0.104523\pi$
$458$	9.04627	−	0.647002i	0.422705	−	0.0302324i
$459$	−13.1118			−0.612005
$460$	−9.21874	−	5.47859i	−0.429826	−	0.255440i
$461$	6.99829			0.325943			0.162971	−	0.986631i	$-0.447892\pi$
$461$	6.99829			0.325943			0.162971	+	0.986631i	$0.447892\pi$
$462$	0.512315	−	0.0366415i	0.0238350	−	0.00170472i
$463$	−5.84275	+	26.8587i	−0.271536	+	1.24823i	0.616095	+	0.787672i	$0.288714\pi$
$463$	−5.84275	+	26.8587i	−0.271536	+	1.24823i	−0.887630	+	0.460557i	$0.847650\pi$
$464$	2.53852	−	0.364985i	0.117848	−	0.0169440i
$465$	5.04274	+	6.70365i	0.233851	+	0.310874i
$466$	3.57282	−	24.8495i	0.165508	−	1.15113i
$467$	7.00315	−	12.8253i	0.324067	−	0.593485i	−0.663959	−	0.747769i	$-0.731125\pi$
$467$	7.00315	−	12.8253i	0.324067	−	0.593485i	0.988027	+	0.154284i	$0.0493070\pi$
$468$	3.36222	−	0.731407i	0.155419	−	0.0338093i
$469$	7.32693	+	3.34610i	0.338326	+	0.154508i
$470$	−19.8815	+	17.3088i	−0.917066	+	0.798397i
$471$	−34.7889	+	30.1447i	−1.60299	+	1.38900i
$472$	0.0666437	−	0.931800i	0.00306752	−	0.0428896i
$473$	2.71645	−	1.48330i	0.124903	−	0.0682020i
$474$	−10.2663	+	22.4800i	−0.471546	+	1.03254i
$475$	3.55442	−	25.5680i	0.163088	−	1.17314i
$476$	−3.04192	+	0.893187i	−0.139426	+	0.0409392i
$477$	7.66805	+	10.2433i	0.351096	+	0.469009i
$478$	1.26046	+	0.470126i	0.0576519	+	0.0215030i
$479$	2.09468	+	14.5688i	0.0957082	+	0.665665i	0.980039	+	0.198805i	$0.0637060\pi$
$479$	2.09468	+	14.5688i	0.0957082	+	0.665665i	−0.884331	+	0.466861i	$0.845385\pi$
$480$	4.68726	−	0.0109370i	0.213943	−	0.000499204i
$481$	1.37314	+	1.18983i	0.0626096	+	0.0542516i
$482$	−15.5618	+	15.5618i	−0.708820	+	0.708820i
$483$	−7.77180	+	2.56045i	−0.353629	+	0.116505i
$484$			10.9094i			0.495881i
$485$	−13.0524	+	24.0368i	−0.592677	+	1.09145i
$486$	11.3232	−	7.27698i	0.513631	−	0.330091i
$487$	5.17667	−	6.91522i	0.234577	−	0.313359i	−0.667770	−	0.744367i	$-0.732751\pi$
$487$	5.17667	−	6.91522i	0.234577	−	0.313359i	0.902348	+	0.431009i	$0.141842\pi$
$488$	1.74363	−	4.67485i	0.0789304	−	0.211621i
$489$	42.4474	+	6.10302i	1.91954	+	0.275988i
$490$	−12.4217	+	6.82046i	−0.561157	+	0.308117i
$491$	17.5085	+	11.2520i	0.790149	+	0.507798i	0.872387	−	0.488815i	$-0.162571\pi$
$491$	17.5085	+	11.2520i	0.790149	+	0.507798i	−0.0822389	+	0.996613i	$0.526207\pi$
$492$	−0.410061	+	0.152945i	−0.0184870	+	0.00689528i
$493$	−4.78732	−	8.76732i	−0.215610	−	0.394860i
$494$	8.34462	+	9.63020i	0.375442	+	0.433283i
$495$	0.135716	+	0.928537i	0.00609996	+	0.0417346i
$496$	−1.71716	−	0.504203i	−0.0771026	−	0.0226394i
$497$	−2.26925	−	6.08408i	−0.101790	−	0.272908i
$498$	0.501003	+	2.30307i	0.0224505	+	0.103203i
$499$	7.13127	+	24.2869i	0.319239	+	1.08723i	0.950259	+	0.311462i	$0.100819\pi$
$499$	7.13127	+	24.2869i	0.319239	+	1.08723i	−0.631019	+	0.775767i	$0.717363\pi$
$500$	−3.07470	+	10.7492i	−0.137505	+	0.480721i
$501$	18.1009	+	39.6355i	0.808690	+	1.77078i
$502$	−7.33877	−	5.49373i	−0.327545	−	0.245197i
$503$	−32.7289	−	7.11973i	−1.45931	−	0.317453i	−0.588269	−	0.808665i	$-0.700190\pi$
$503$	−32.7289	−	7.11973i	−1.45931	−	0.317453i	−0.871040	+	0.491212i	$0.836554\pi$
$504$	0.743088	−	0.857569i	0.0330998	−	0.0381992i
$505$	0.0802373	+	0.0513012i	0.00357051	+	0.00228287i
$506$	0.352776	+	1.39993i	0.0156828	+	0.0622345i
$507$	10.2396	+	10.2396i	0.454756	+	0.454756i
$508$	0.417232	+	5.83366i	0.0185117	+	0.258827i
$509$	0.0394504	+	0.0613860i	0.00174861	+	0.00272089i	0.842127	−	0.539280i	$-0.181303\pi$
$509$	0.0394504	+	0.0613860i	0.00174861	+	0.00272089i	−0.840378	+	0.542001i	$0.817667\pi$
$510$	−6.42002	−	17.0908i	−0.284283	−	0.756796i
$511$	3.59795	−	1.64313i	0.159164	−	0.0726877i
$512$	−0.800541	+	0.599278i	−0.0353793	+	0.0264846i
$513$	15.2536	+	8.32912i	0.673465	+	0.367740i
$514$	12.4501	−	19.3728i	0.549153	−	0.854498i
$515$	−28.2023	−	6.06616i	−1.24274	−	0.267307i
$516$	6.07194	−	20.6791i	0.267302	−	0.910347i
$517$	3.53973	+	0.253167i	0.155677	+	0.0111343i
$518$	0.597658	+	0.0427453i	0.0262596	+	0.00187812i
$519$	−10.2116	+	34.7776i	−0.448241	+	1.52657i
$520$	−2.99461	−	4.63589i	−0.131322	−	0.203297i
$521$	21.5883	−	33.5921i	0.945801	−	1.47170i	0.0651807	−	0.997873i	$-0.479238\pi$
$521$	21.5883	−	33.5921i	0.945801	−	1.47170i	0.880621	−	0.473822i	$-0.157126\pi$
$522$	3.13800	+	1.71348i	0.137347	+	0.0749969i
$523$	−21.5620	+	16.1411i	−0.942841	+	0.705802i	−0.955770	−	0.294115i	$-0.904975\pi$
$523$	−21.5620	+	16.1411i	−0.942841	+	0.705802i	0.0129296	+	0.999916i	$0.495884\pi$
$524$	−4.88705	+	2.23184i	−0.213492	+	0.0974985i
$525$	4.64568	+	7.15519i	0.202754	+	0.312278i
$526$	7.85311	+	12.2197i	0.342412	+	0.532803i
$527$	0.497282	+	6.95292i	0.0216620	+	0.302874i
$528$	−0.446202	−	0.446202i	−0.0194184	−	0.0194184i
$529$	−10.8996	−	20.2533i	−0.473897	−	0.880580i
$530$	11.0555	−	17.2912i	0.480218	−	0.751082i
$531$	0.852850	−	0.984241i	0.0370105	−	0.0427124i
$532$	4.10622	+	0.893253i	0.178027	+	0.0387274i
$533$	0.412529	+	0.308816i	0.0178686	+	0.0133763i
$534$	11.8978	+	26.0526i	0.514869	+	1.12741i
$535$	1.89388	+	25.6390i	0.0818794	+	1.10847i
$536$	−2.78801	−	9.49510i	−0.120424	−	0.410126i
$537$	7.30450	+	33.5783i	0.315213	+	1.44901i
$538$	5.05086	+	13.5419i	0.217758	+	0.583832i
$539$	1.83050	+	0.537484i	0.0788453	+	0.0231511i
$540$	−6.03642	−	4.49687i	−0.259766	−	0.193514i
$541$	12.2196	+	14.1021i	0.525360	+	0.606298i	0.954965	−	0.296719i	$-0.0958926\pi$
$541$	12.2196	+	14.1021i	0.525360	+	0.606298i	−0.429605	+	0.903017i	$0.641347\pi$
$542$	10.4995	+	19.2284i	0.450992	+	0.825929i
$543$	−25.5779	+	9.54008i	−1.09765	+	0.409404i
$544$	3.27668	+	2.10579i	0.140486	+	0.0902851i
$545$	−37.5618	−	10.9340i	−1.60897	−	0.468361i
$546$	−4.16835	−	0.599318i	−0.178389	−	0.0256484i
$547$	13.4128	−	35.9612i	0.573491	−	1.53759i	−0.248820	−	0.968550i	$-0.580043\pi$
$547$	13.4128	−	35.9612i	0.573491	−	1.53759i	0.822311	−	0.569039i	$-0.192685\pi$
$548$	−0.486749	+	0.650220i	−0.0207929	+	0.0277760i
$549$	5.85155	−	3.76056i	0.249738	−	0.160497i
$550$	1.31766	−	0.727501i	0.0561853	−	0.0310208i
$551$			13.2406i			0.564069i
$552$	8.63013	+	5.15607i	0.367323	+	0.219457i
$553$	6.78547	−	6.78547i	0.288548	−	0.288548i
$554$	−13.5383	−	11.7310i	−0.575186	−	0.498401i
$555$	0.00805119	+	3.45049i	0.000341754	+	0.146465i
$556$	1.38661	+	9.64410i	0.0588055	+	0.409001i
$557$	−13.6475	−	5.09024i	−0.578261	−	0.215680i	0.0432783	−	0.999063i	$-0.486220\pi$
$557$	−13.6475	−	5.09024i	−0.578261	−	0.215680i	−0.621540	+	0.783383i	$0.713493\pi$
$558$	−1.49516	−	1.99731i	−0.0632953	−	0.0845527i
$559$	−24.3484	+	7.14935i	−1.02983	+	0.302385i
$560$	−1.70678	−	0.632062i	−0.0721244	−	0.0267095i
$561$	−1.02102	+	2.23573i	−0.0431076	+	0.0943925i
$562$	11.0045	−	6.00890i	0.464196	−	0.253470i
$563$	1.14362	−	15.9899i	0.0481977	−	0.673892i	−0.914718	−	0.404092i	$-0.867588\pi$
$563$	1.14362	−	15.9899i	0.0481977	−	0.673892i	0.962916	−	0.269801i	$-0.0869578\pi$
$564$	18.6758	−	16.1827i	0.786394	−	0.681414i
$565$	1.33693	−	19.3264i	0.0562452	−	0.813068i
$566$	1.97680	+	0.902773i	0.0830910	+	0.0379464i
$567$	−8.93877	+	1.94451i	−0.375393	+	0.0816617i
$568$	−3.82333	+	7.00190i	−0.160423	+	0.293793i
$569$	−2.29829	+	15.9849i	−0.0963492	+	0.670124i	0.883211	+	0.468975i	$0.155377\pi$
$569$	−2.29829	+	15.9849i	−0.0963492	+	0.670124i	−0.979561	+	0.201149i	$0.935533\pi$
$570$	−3.38803	+	23.9610i	−0.141909	+	1.00362i
$571$	19.1922	−	2.75942i	0.803169	−	0.115478i	0.271509	−	0.962436i	$-0.412477\pi$
$571$	19.1922	−	2.75942i	0.803169	−	0.115478i	0.531660	+	0.846958i	$0.321568\pi$
$572$	−0.157935	+	0.726014i	−0.00660358	+	0.0303562i
$573$	−18.7873	+	1.34369i	−0.784849	+	0.0561335i
$574$	0.169940			0.00709316
$575$	−17.5237	+	16.3683i	−0.730788	+	0.682605i
$576$	−1.39410			−0.0580873
$577$	16.9251	−	1.21051i	0.704600	−	0.0503940i	0.285559	−	0.958361i	$-0.407821\pi$
$577$	16.9251	−	1.21051i	0.704600	−	0.0503940i	0.419041	+	0.907967i	$0.362366\pi$
$578$	−0.388785	+	1.78722i	−0.0161713	+	0.0743384i
$579$	37.6215	−	5.40915i	1.56350	−	0.224797i
$580$	0.802884	−	5.67820i	0.0333379	−	0.235775i
$581$	0.130245	−	0.905876i	0.00540349	−	0.0375821i
$582$	12.2885	−	22.5048i	0.509376	−	0.932852i
$583$	−2.69982	+	0.587310i	−0.111815	+	0.0243239i
$584$	−4.42035	−	2.01871i	−0.182915	−	0.0835346i
$585$	0.530975	−	7.67565i	0.0219531	−	0.317349i
$586$	18.0203	−	15.6147i	0.744412	−	0.645037i
$587$	−2.03104	+	28.3976i	−0.0838300	+	1.17210i	0.765215	+	0.643775i	$0.222633\pi$
$587$	−2.03104	+	28.3976i	−0.0838300	+	1.17210i	−0.849045	+	0.528321i	$0.822822\pi$
$588$	11.6597	−	6.36668i	0.480838	−	0.262557i
$589$	3.83826	−	8.40461i	0.158153	−	0.346306i
$590$	−1.95888	−	0.725424i	−0.0806460	−	0.0298652i
$591$	30.7304	−	9.02327i	1.26408	−	0.371168i
$592$	−0.441154	−	0.589313i	−0.0181313	−	0.0242206i
$593$	13.3415	+	4.97613i	0.547870	+	0.204345i	0.608130	−	0.793838i	$-0.291920\pi$
$593$	13.3415	+	4.97613i	0.547870	+	0.204345i	−0.0602595	+	0.998183i	$0.519193\pi$
$594$	0.144217	+	1.00305i	0.00591729	+	0.0411556i
$595$	0.0165413	+	7.08907i	0.000678126	+	0.290623i
$596$	4.17702	+	3.61941i	0.171097	+	0.148257i
$597$	14.5944	−	14.5944i	0.597309	−	0.597309i
$598$	−0.386479	−	11.8306i	−0.0158043	−	0.483789i
$599$		−	43.8086i		−	1.78997i	−0.446095	−	0.894986i	$-0.647186\pi$
$599$		−	43.8086i		−	1.78997i	0.446095	−	0.894986i	$-0.352814\pi$
$600$	2.90589	−	10.0702i	0.118632	−	0.411113i
$601$	−8.35808	+	5.37141i	−0.340933	+	0.219105i	−0.699892	−	0.714249i	$-0.746768\pi$
$601$	−8.35808	+	5.37141i	−0.340933	+	0.219105i	0.358958	+	0.933354i	$0.383132\pi$
$602$	−5.01513	+	6.69943i	−0.204401	+	0.273048i
$603$	4.82118	−	12.9261i	0.196334	−	0.526391i
$604$	9.17724	+	1.31949i	0.373417	+	0.0536892i
$605$	23.4220	+	6.81798i	0.952238	+	0.277190i
$606$	−0.0751063	−	0.0482679i	−0.00305099	−	0.00196075i
$607$	−22.6120	+	8.43382i	−0.917791	+	0.342318i	−0.763575	−	0.645719i	$-0.776558\pi$
$607$	−22.6120	+	8.43382i	−0.917791	+	0.342318i	−0.154216	+	0.988037i	$0.549285\pi$
$608$	−2.47426	−	4.53126i	−0.100344	−	0.183767i
$609$	−2.86554	−	3.30701i	−0.116118	−	0.134007i
$610$	−8.94699	−	6.66511i	−0.362253	−	0.269863i
$611$	−27.9179	−	8.19743i	−1.12944	−	0.331633i
$612$	1.89759	+	5.08764i	0.0767055	+	0.205655i
$613$	−5.57300	−	25.6187i	−0.225091	−	1.03473i	−0.941491	−	0.337038i	$-0.890575\pi$
$613$	−5.57300	−	25.6187i	−0.225091	−	1.03473i	0.716400	−	0.697690i	$-0.245789\pi$
$614$	7.68195	+	26.1623i	0.310018	+	1.05583i
$615$	0.0720919	+	0.975968i	0.00290703	+	0.0393548i
$616$	0.101787	+	0.222882i	0.00410111	+	0.00898018i
$617$	1.63919	+	1.22708i	0.0659912	+	0.0494004i	0.631764	−	0.775161i	$-0.282331\pi$
$617$	1.63919	+	1.22708i	0.0659912	+	0.0494004i	−0.565773	+	0.824561i	$0.691422\pi$
$618$	26.4250	+	5.74842i	1.06297	+	0.231235i
$619$	−14.7869	+	17.0650i	−0.594336	+	0.685900i	−0.970624	−	0.240602i	$-0.922655\pi$
$619$	−14.7869	+	17.0650i	−0.594336	+	0.685900i	0.376288	+	0.926503i	$0.377200\pi$
$620$	−2.15566	+	3.37155i	−0.0865735	+	0.135405i
$621$	−6.13271	−	14.9341i	−0.246097	−	0.599284i
$622$	14.2942	+	14.2942i	0.573147	+	0.573147i
$623$	−0.793372	−	11.0928i	−0.0317858	−	0.444423i
$624$	2.79716	+	4.35247i	0.111976	+	0.174238i
$625$	21.1566	+	13.3191i	0.846263	+	0.532766i
$626$	7.86354	−	3.59116i	0.314290	−	0.143532i
$627$	2.60804	−	1.95235i	0.104155	−	0.0779694i
$628$	−19.2736	−	10.5242i	−0.769102	−	0.419961i
$629$	−1.55016	+	2.41210i	−0.0618091	+	0.0961768i
$630$	−1.37676	−	2.13133i	−0.0548514	−	0.0849141i
$631$	1.17828	−	4.01284i	0.0469064	−	0.159749i	−0.932709	−	0.360629i	$-0.882562\pi$
$631$	1.17828	−	4.01284i	0.0469064	−	0.159749i	0.979616	+	0.200880i	$0.0643803\pi$
$632$	−11.7595	−	0.841056i	−0.467768	−	0.0334554i
$633$	−18.5615	−	1.32754i	−0.737751	−	0.0527650i
$634$	7.87363	−	26.8151i	0.312702	−	1.06496i
$635$	12.7854	+	2.75006i	0.507372	+	0.109133i
$636$	−10.4018	+	16.1855i	−0.412457	+	0.641796i
$637$	−13.7286	−	7.49638i	−0.543947	−	0.297018i
$638$	−0.618044	+	0.462662i	−0.0244686	+	0.0183170i
$639$	−10.1167	+	4.62014i	−0.400210	+	0.182770i
$640$	0.786312	+	2.09325i	0.0310817	+	0.0827431i
$641$	−17.2725	−	26.8765i	−0.682223	−	1.06156i	−0.993783	−	0.111333i	$-0.964488\pi$
$641$	−17.2725	−	26.8765i	−0.682223	−	1.06156i	0.311561	−	0.950226i	$-0.399148\pi$
$642$	−1.71933	−	24.0394i	−0.0678567	−	0.948761i
$643$	−0.653134	−	0.653134i	−0.0257571	−	0.0257571i	0.694111	−	0.719868i	$-0.255798\pi$
$643$	−0.653134	−	0.653134i	−0.0257571	−	0.0257571i	−0.719868	+	0.694111i	$0.755798\pi$
$644$	−2.44011	−	3.04693i	−0.0961538	−	0.120066i
$645$	−40.6024	−	25.9599i	−1.59872	−	1.02217i
$646$	−13.1686	+	15.1974i	−0.518112	+	0.597933i
$647$	−15.2483	−	3.31706i	−0.599473	−	0.130407i	−0.0974185	−	0.995244i	$-0.531059\pi$
$647$	−15.2483	−	3.31706i	−0.599473	−	0.130407i	−0.502054	+	0.864836i	$0.667422\pi$
$648$	8.99711	+	6.73515i	0.353440	+	0.264582i
$649$	0.116822	+	0.255804i	0.00458566	+	0.0100412i
$650$	−11.8246	+	3.53203i	−0.463798	+	0.138538i
$651$	0.860277	+	2.92983i	0.0337169	+	0.114829i
$652$	4.34863	+	19.9903i	0.170305	+	0.782881i
$653$	−8.57196	−	22.9823i	−0.335447	−	0.899367i	−0.989708	−	0.143099i	$-0.954293\pi$
$653$	−8.57196	−	22.9823i	−0.335447	−	0.899367i	0.654262	−	0.756268i	$-0.272980\pi$
$654$	35.1884	+	10.3323i	1.37598	+	0.404023i
$655$	1.73743	+	11.8871i	0.0678870	+	0.464468i
$656$	−0.136724	−	0.157788i	−0.00533819	−	0.00616060i
$657$	−3.24672	−	5.94592i	−0.126667	−	0.231973i
$658$	−8.99046	+	3.35327i	−0.350484	+	0.130724i
$659$	−25.7327	−	16.5374i	−1.00241	−	0.644207i	−0.0669885	−	0.997754i	$-0.521339\pi$
$659$	−25.7327	−	16.5374i	−1.00241	−	0.644207i	−0.935417	+	0.353547i	$0.884975\pi$
$660$	−1.23684	+	0.679115i	−0.0481438	+	0.0264345i
$661$	21.5702	+	3.10132i	0.838983	+	0.120627i	0.548393	−	0.836220i	$-0.315240\pi$
$661$	21.5702	+	3.10132i	0.838983	+	0.120627i	0.290589	+	0.956848i	$0.406149\pi$
$662$	6.45179	−	17.2979i	0.250756	−	0.672303i
$663$	12.0766	−	16.1324i	0.469015	−	0.626531i
$664$	−0.945889	+	0.607886i	−0.0367076	+	0.0235906i
$665$	4.48402	−	8.25762i	0.173883	−	0.320217i
$666$		−	1.02625i		−	0.0397665i
$667$	7.74669	−	9.55339i	0.299953	−	0.369909i
$668$	−14.6984	+	14.6984i	−0.568697	+	0.568697i
$669$	−27.8417	−	24.1250i	−1.07642	−	0.932725i
$670$	−22.1280	+	0.0516323i	−0.854878	+	0.00199473i
$671$	0.213753	+	1.48669i	0.00825186	+	0.0573929i
$672$	1.59864	+	0.596260i	0.0616687	+	0.0230012i
$673$	−16.5363	−	22.0899i	−0.637426	−	0.851502i	0.359227	−	0.933250i	$-0.383041\pi$
$673$	−16.5363	−	22.0899i	−0.637426	−	0.851502i	−0.996653	+	0.0817484i	$0.973950\pi$
$674$	−18.8306	+	5.52916i	−0.725328	+	0.212975i
$675$	−13.4271	+	10.1495i	−0.516811	+	0.390656i
$676$	−2.86976	+	6.28389i	−0.110375	+	0.241688i
$677$	−9.86289	+	5.38555i	−0.379062	+	0.206983i	−0.657472	−	0.753479i	$-0.728374\pi$
$677$	−9.86289	+	5.38555i	−0.379062	+	0.206983i	0.278410	+	0.960462i	$0.410192\pi$
$678$	−1.29558	+	18.1146i	−0.0497566	+	0.695688i
$679$	−7.52454	+	6.52005i	−0.288765	+	0.250217i
$680$	6.56885	−	5.71883i	0.251904	−	0.219307i
$681$	24.1476	+	11.0278i	0.925338	+	0.422587i
$682$	0.526428	−	0.114517i	0.0201580	−	0.00438510i
$683$	7.19199	−	13.1711i	0.275194	−	0.503980i	−0.703130	−	0.711062i	$-0.748215\pi$
$683$	7.19199	−	13.1711i	0.275194	−	0.503980i	0.978324	+	0.207082i	$0.0663965\pi$
$684$	1.02430	−	7.12416i	0.0391650	−	0.272399i
$685$	1.09179	+	1.45139i	0.0417153	+	0.0554549i
$686$	−10.7456	+	1.54498i	−0.410268	+	0.0589876i
$687$	−4.04115	+	18.5769i	−0.154179	+	0.708751i
$688$	10.2553	−	0.733472i	0.390979	−	0.0279634i
$689$	22.6536			0.863034
$690$	16.4634	−	15.3061i	0.626751	−	0.582695i
$691$	−4.76506			−0.181272			−0.0906358	−	0.995884i	$-0.528890\pi$
$691$	−4.76506			−0.181272			−0.0906358	+	0.995884i	$0.528890\pi$
$692$	−17.2471	+	1.23353i	−0.655635	+	0.0468919i
$693$	−0.0726098	+	0.333782i	−0.00275822	+	0.0126793i
$694$	−26.1304	+	3.75698i	−0.991896	+	0.142613i
$695$	21.5720	+	3.05023i	0.818274	+	0.115702i
$696$	−0.765085	+	5.32128i	−0.0290005	+	0.201703i
$697$	−0.389731	+	0.713740i	−0.0147621	+	0.0270348i
$698$	19.0456	−	4.14312i	0.720887	−	0.156819i
$699$	47.8697	+	21.8614i	1.81060	+	0.826873i
$700$	−2.42368	+	3.26935i	−0.0916066	+	0.123570i
$701$	−29.3222	+	25.4078i	−1.10748	+	0.959641i	−0.999405	−	0.0345012i	$-0.989016\pi$
$701$	−29.3222	+	25.4078i	−1.10748	+	0.959641i	−0.108080	+	0.994142i	$0.534470\pi$
$702$	0.592729	−	8.28744i	0.0223711	−	0.312789i
$703$	3.33566	−	1.82141i	0.125807	−	0.0686957i
$704$	0.125053	−	0.273828i	0.00471311	−	0.0103203i
$705$	−23.0718	−	50.2098i	−0.868933	−	1.89101i
$706$	−12.4399	+	3.65267i	−0.468180	+	0.137470i
$707$	0.0207750	+	0.0277522i	0.000781325	+	0.00104373i
$708$	1.83477	+	0.684334i	0.0689549	+	0.0257189i
$709$	5.15863	+	35.8790i	0.193736	+	1.34747i	0.822010	+	0.569473i	$0.192853\pi$
$709$	5.15863	+	35.8790i	0.193736	+	1.34747i	−0.628274	+	0.777992i	$0.716238\pi$
$710$	12.6433	+	12.5845i	0.474496	+	0.472286i
$711$	−12.4213	−	10.7631i	−0.465835	−	0.403649i
$712$	−9.66129	+	9.66129i	−0.362072	+	0.362072i
$713$	−7.68667	+	3.81846i	−0.287868	+	0.143002i
$714$		−	6.64569i		−	0.248709i
$715$	1.46002	+	0.792812i	0.0546015	+	0.0296495i
$716$	−13.7908	+	8.86283i	−0.515388	+	0.331219i
$717$	−1.68995	+	2.25751i	−0.0631124	+	0.0843083i
$718$	−8.79050	+	23.5682i	−0.328058	+	0.879559i
$719$	14.2638	+	2.05083i	0.531951	+	0.0764830i	0.403056	−	0.915175i	$-0.367948\pi$
$719$	14.2638	+	2.05083i	0.531951	+	0.0764830i	0.128895	+	0.991658i	$0.458857\pi$
$720$	−0.871262	+	2.99306i	−0.0324700	+	0.111545i
$721$	−8.83378	−	5.67712i	−0.328987	−	0.211427i
$722$	7.17171	−	2.67491i	0.266903	−	0.0995498i
$723$	−22.1091	−	40.4897i	−0.822245	−	1.50583i
$724$	−8.52832	−	9.84220i	−0.316952	−	0.365783i
$725$	−11.6891	−	5.27243i	−0.434121	−	0.195813i
$726$	−21.9420	−	6.44276i	−0.814345	−	0.239113i
$727$	−9.75731	−	26.1604i	−0.361879	−	0.970234i	−0.982523	−	0.186142i	$-0.940402\pi$
$727$	−9.75731	−	26.1604i	−0.361879	−	0.970234i	0.620644	−	0.784092i	$-0.286871\pi$
$728$	−0.427036	−	1.96305i	−0.0158270	−	0.0727556i
$729$	−1.54996	−	5.27869i	−0.0574060	−	0.195507i
$730$	−7.09663	+	8.22867i	−0.262658	+	0.304557i
$731$	−16.6358	−	36.4274i	−0.615298	−	1.34732i
$732$	8.37279	+	6.26779i	0.309467	+	0.231664i
$733$	46.5893	+	10.1349i	1.72081	+	0.374340i	0.961161	−	0.275989i	$-0.0890052\pi$
$733$	46.5893	+	10.1349i	1.72081	+	0.374340i	0.759653	+	0.650329i	$0.225369\pi$
$734$	2.53309	−	2.92335i	0.0934982	−	0.107903i
$735$	−6.38207	−	29.0118i	−0.235406	−	1.07012i
$736$	−0.865877	+	4.71702i	−0.0319166	+	0.173872i
$737$	2.10647	+	2.10647i	0.0775927	+	0.0775927i
$738$	−0.0207643	−	0.290323i	−0.000764346	−	0.0106870i
$739$	−20.0775	−	31.2412i	−0.738564	−	1.14923i	−0.983714	−	0.179742i	$-0.942474\pi$
$739$	−20.0775	−	31.2412i	−0.738564	−	1.14923i	0.245150	−	0.969485i	$-0.421163\pi$
$740$	−1.54093	+	0.578838i	−0.0566459	+	0.0212785i
$741$	−24.2973	+	11.0962i	−0.892584	+	0.407629i
$742$	5.98062	−	4.47703i	0.219555	−	0.164357i
$743$	−0.987522	−	0.539228i	−0.0362287	−	0.0197824i	0.461033	−	0.887383i	$-0.347479\pi$
$743$	−0.987522	−	0.539228i	−0.0362287	−	0.0197824i	−0.497261	+	0.867601i	$0.665661\pi$
$744$	2.02820	−	3.15595i	0.0743576	−	0.115703i
$745$	10.3812	−	6.70587i	0.380338	−	0.245684i
$746$	−3.60640	+	12.2823i	−0.132040	+	0.449686i
$747$	−1.56350	−	0.111824i	−0.0572055	−	0.00409142i
$748$	−1.16953	−	0.0836462i	−0.0427621	−	0.00305841i
$749$	−2.63653	+	8.97920i	−0.0963367	+	0.328093i
$750$	−19.8041	−	12.5323i	−0.723144	−	0.457616i
$751$	−13.0237	+	20.2653i	−0.475243	+	0.739492i	−0.993264	−	0.115876i	$-0.963033\pi$
$751$	−13.0237	+	20.2653i	−0.475243	+	0.739492i	0.518021	+	0.855368i	$0.326669\pi$
$752$	10.3467	+	5.64974i	0.377306	+	0.206025i
$753$	15.3836	−	11.5160i	0.560609	−	0.419667i
$754$	5.75790	−	2.62954i	0.209690	−	0.0957624i
$755$	8.56834	−	18.8785i	0.311834	−	0.687059i
$756$	−1.48136	−	2.30505i	−0.0538767	−	0.0838337i
$757$	−2.01174	−	28.1278i	−0.0731179	−	1.02232i	−0.893078	−	0.449901i	$-0.851459\pi$
$757$	−2.01174	−	28.1278i	−0.0731179	−	1.02232i	0.819960	−	0.572420i	$-0.193995\pi$
$758$	8.49345	+	8.49345i	0.308496	+	0.308496i
$759$	−3.02402	−	0.117220i	−0.109765	−	0.00425482i
$760$	−11.2748	+	2.48024i	−0.408978	+	0.0899677i
$761$	28.1673	−	32.5067i	1.02106	−	1.17837i	0.0372245	−	0.999307i	$-0.488148\pi$
$761$	28.1673	−	32.5067i	1.02106	−	1.17837i	0.983838	−	0.179062i	$-0.0573062\pi$
$762$	−11.9796	−	2.60601i	−0.433977	−	0.0944059i
$763$	−11.4000	−	8.53395i	−0.412709	−	0.308950i
$764$	−3.73266	−	8.17339i	−0.135043	−	0.295703i
$765$	12.1089	−	0.894446i	0.437797	−	0.0323388i
$766$	−1.60999	−	5.48312i	−0.0581713	−	0.198113i
$767$	−0.490114	−	2.25302i	−0.0176970	−	0.0813517i
$768$	−0.732550	−	1.96404i	−0.0264336	−	0.0708713i
$769$	8.04491	+	2.36220i	0.290107	+	0.0851830i	0.423548	−	0.905874i	$-0.360785\pi$
$769$	8.04491	+	2.36220i	0.290107	+	0.0851830i	−0.133441	+	0.991057i	$0.542603\pi$
$770$	0.542132	−	0.0792383i	0.0195371	−	0.00285555i
$771$	31.6118	+	36.4820i	1.13847	+	1.31387i
$772$	8.68972	+	15.9140i	0.312750	+	0.572758i
$773$	44.2879	−	16.5185i	1.59293	−	0.594131i	0.612405	−	0.790544i	$-0.290202\pi$
$773$	44.2879	−	16.5185i	1.59293	−	0.594131i	0.980521	+	0.196413i	$0.0629294\pi$
$774$	12.0580	+	7.74920i	0.433416	+	0.278539i
$775$	5.89135	+	6.73521i	0.211624	+	0.241936i
$776$	12.1077	+	1.74082i	0.434640	+	0.0624918i
$777$	−0.438933	+	1.17682i	−0.0157466	+	0.0422183i
$778$	21.5513	−	28.7891i	0.772651	−	1.03214i
$779$	0.906793	−	0.582760i	0.0324892	−	0.0208796i
$780$	11.0927	−	3.28524i	0.397182	−	0.117630i
$781$		−	2.40155i		−	0.0859342i
$782$	18.3929	−	3.26068i	0.657731	−	0.116602i
$783$	6.10469	−	6.10469i	0.218164	−	0.218164i
$784$	4.78955	+	4.15017i	0.171055	+	0.148220i
$785$	−34.6403	+	34.8024i	−1.23637	+	1.24215i
$786$	−1.60275	−	11.1474i	−0.0571683	−	0.397614i
$787$	30.6702	+	11.4394i	1.09328	+	0.407771i	0.830462	−	0.557076i	$-0.188077\pi$
$787$	30.6702	+	11.4394i	1.09328	+	0.407771i	0.262814	+	0.964847i	$0.415349\pi$
$788$	9.15631	+	12.2314i	0.326180	+	0.435725i
$789$	−29.2152	+	8.57837i	−1.04009	+	0.305398i
$790$	−9.15498	+	24.7215i	−0.325720	+	0.879551i
$791$	2.92943	−	6.41456i	0.104159	−	0.228075i
$792$	0.368332	−	0.201125i	0.0130881	−	0.00714665i
$793$	0.878524	−	12.2834i	0.0311973	−	0.436195i
$794$	−23.5709	+	20.4243i	−0.836499	+	0.724830i
$795$	28.2488	+	32.4475i	1.00188	+	1.15079i
$796$	8.95637	+	4.09024i	0.317450	+	0.144975i
$797$	−3.29214	+	0.716161i	−0.116613	+	0.0253677i	−0.270493	−	0.962722i	$-0.587187\pi$
$797$	−3.29214	+	0.716161i	−0.116613	+	0.0253677i	0.153880	+	0.988090i	$0.450823\pi$
$798$	−4.22161	+	7.73130i	−0.149443	+	0.273685i
$799$	6.53467	−	45.4497i	0.231180	−	1.60789i
$800$	4.98554	−	0.379966i	0.176266	−	0.0134338i
$801$	−18.8538	+	2.71077i	−0.666168	+	0.0957805i
$802$	6.74773	−	31.0188i	0.238271	−	1.09531i
$803$	1.45913	−	0.104359i	0.0514916	−	0.00368275i
$804$	20.7440			0.731585
$805$	−8.06660	+	3.33458i	−0.284310	+	0.117529i
$806$	−4.41715			−0.155587
$807$	−30.2197	+	2.16135i	−1.06378	+	0.0760832i
$808$	0.00905330	−	0.0416174i	0.000318494	−	0.00146409i
$809$	−10.9616	+	1.57605i	−0.385391	+	0.0554108i	−0.332287	−	0.943178i	$-0.607820\pi$
$809$	−10.9616	+	1.57605i	−0.385391	+	0.0554108i	−0.0531033	+	0.998589i	$0.516911\pi$
$810$	20.0830	−	15.1072i	0.705643	−	0.530812i
$811$	−2.55531	+	17.7726i	−0.0897291	+	0.624080i	0.894485	+	0.447098i	$0.147542\pi$
$811$	−2.55531	+	17.7726i	−0.0897291	+	0.624080i	−0.984214	+	0.176982i	$0.943367\pi$
$812$	1.00042	−	1.83214i	0.0351080	−	0.0642955i
$813$	−44.8747	+	9.76189i	−1.57382	+	0.342364i
$814$	0.201576	+	0.0920567i	0.00706524	+	0.00322659i
$815$	45.6361	+	3.15694i	1.59856	+	0.110583i
$816$	−6.17049	+	5.34676i	−0.216010	+	0.187174i
$817$	−3.78676	+	52.9458i	−0.132482	+	1.85234i
$818$	30.5455	−	16.6791i	1.06800	−	0.583170i
$819$	1.16345	−	2.54760i	0.0406542	−	0.0890203i
$820$	−0.424213	+	0.194929i	−0.0148142	+	0.00680722i
$821$	6.16076	−	1.80896i	0.215012	−	0.0631332i	−0.172453	−	0.985018i	$-0.555169\pi$
$821$	6.16076	−	1.80896i	0.215012	−	0.0631332i	0.387464	+	0.921885i	$0.373351\pi$
$822$	−1.02033	−	1.36300i	−0.0355880	−	0.0475400i
$823$	35.2937	+	13.1639i	1.23026	+	0.458864i	0.878733	−	0.477313i	$-0.158389\pi$
$823$	35.2937	+	13.1639i	1.23026	+	0.458864i	0.351529	+	0.936177i	$0.385662\pi$
$824$	1.83599	+	12.7696i	0.0639599	+	0.444851i
$825$	0.685050	+	3.07985i	0.0238504	+	0.107227i
$826$	−0.574655	−	0.497941i	−0.0199948	−	0.0173256i
$827$	16.4514	−	16.4514i	0.572070	−	0.572070i	−0.360636	−	0.932706i	$-0.617440\pi$
$827$	16.4514	−	16.4514i	0.572070	−	0.572070i	0.932706	+	0.360636i	$0.117440\pi$
$828$	−4.90718	+	4.54094i	−0.170536	+	0.157809i
$829$			13.5903i			0.472010i	0.971752	+	0.236005i	$0.0758381\pi$
$829$			13.5903i			0.472010i	−0.971752	+	0.236005i	$0.924162\pi$
$830$	0.713957	+	2.41069i	0.0247818	+	0.0836763i
$831$	31.5898	−	20.3015i	1.09584	−	0.704252i
$832$	−1.47912	+	1.97587i	−0.0512791	+	0.0685008i
$833$	8.62634	−	23.1281i	0.298885	−	0.801341i
$834$	−20.2161	−	2.90663i	−0.700025	−	0.100648i
$835$	22.3708	+	40.7427i	0.774173	+	1.40996i
$836$	1.30744	+	0.840241i	0.0452188	+	0.0290604i
$837$	−5.64467	+	2.10535i	−0.195108	+	0.0727716i
$838$	1.88587	+	3.45372i	0.0651464	+	0.119307i
$839$	11.9659	+	13.8094i	0.413108	+	0.476752i	0.923725	−	0.383056i	$-0.125128\pi$
$839$	11.9659	+	13.8094i	0.413108	+	0.476752i	−0.510617	+	0.859808i	$0.670583\pi$
$840$	2.27924	−	3.05956i	0.0786411	−	0.105565i
$841$	−21.5144	−	6.31720i	−0.741876	−	0.217834i
$842$	3.17635	+	8.51611i	0.109464	+	0.293485i
$843$	5.58677	+	25.6820i	0.192419	+	0.884534i
$844$	−2.50105	−	8.51779i	−0.0860896	−	0.293194i
$845$	11.6977	+	10.0885i	0.402415	+	0.347054i
$846$	6.82719	+	14.9495i	0.234724	+	0.513973i
$847$	7.10857	+	5.32141i	0.244253	+	0.182846i
$848$	−8.96858	−	1.95100i	−0.307982	−	0.0669974i
$849$	−2.98319	+	3.44278i	−0.102383	+	0.118156i
$850$	−8.17278	−	17.6771i	−0.280324	−	0.606320i
$851$	−3.47240	−	0.637409i	−0.119032	−	0.0218501i
$852$	−11.8250	−	11.8250i	−0.405117	−	0.405117i
$853$	−1.85118	−	25.8828i	−0.0633830	−	0.886211i	−0.925318	−	0.379192i	$-0.876202\pi$
$853$	−1.85118	−	25.8828i	−0.0633830	−	0.886211i	0.861935	−	0.507019i	$-0.169253\pi$
$854$	−2.19563	−	3.41646i	−0.0751328	−	0.116909i
$855$	−14.6551	−	6.65147i	−0.501194	−	0.227476i
$856$	10.4583	−	4.77617i	0.357459	−	0.163246i
$857$	2.46683	−	1.84664i	0.0842652	−	0.0630801i	−0.556315	−	0.830972i	$-0.687785\pi$
$857$	2.46683	−	1.84664i	0.0842652	−	0.0630801i	0.640580	+	0.767892i	$0.278694\pi$
$858$	−1.36696	−	0.746417i	−0.0466672	−	0.0254822i
$859$	−17.7335	+	27.5938i	−0.605058	+	0.941488i	0.394685	+	0.918816i	$0.370854\pi$
$859$	−17.7335	+	27.5938i	−0.605058	+	0.941488i	−0.999743	+	0.0226719i	$0.992783\pi$
$860$	4.83446	−	22.4760i	0.164854	−	0.766426i
$861$	−0.100362	+	0.341800i	−0.00342031	+	0.0116485i
$862$	−9.58324	−	0.685407i	−0.326406	−	0.0233450i
$863$	−0.751796	−	0.0537695i	−0.0255914	−	0.00183034i	0.0585376	−	0.998285i	$-0.481356\pi$
$863$	−0.751796	−	0.0537695i	−0.0255914	−	0.00183034i	−0.0841290	+	0.996455i	$0.526811\pi$
$864$	−0.948399	+	3.22995i	−0.0322652	+	0.109885i
$865$	−8.13047	+	37.7996i	−0.276444	+	1.28522i
$866$	−3.02093	+	4.70066i	−0.102655	+	0.159735i
$867$	−3.36502	−	1.83744i	−0.114282	−	0.0624028i
$868$	−1.16614	+	0.872960i	−0.0395813	+	0.0296302i
$869$	3.22830	−	1.47431i	0.109513	−	0.0500127i
$870$	10.9464	+	4.96822i	0.371118	+	0.168438i
$871$	−13.2051	−	20.5475i	−0.447437	−	0.696225i
$872$	1.24811	+	17.4508i	0.0422662	+	0.590959i
$873$	12.0582	+	12.0582i	0.408107	+	0.408107i
$874$	−23.4689	−	7.89061i	−0.793846	−	0.266904i
$875$	5.50444	+	7.24677i	0.186084	+	0.244986i
$876$	6.67075	−	7.69845i	0.225384	−	0.260107i
$877$	−6.20445	−	1.34970i	−0.209509	−	0.0455760i	0.106586	−	0.994304i	$-0.466008\pi$
$877$	−6.20445	−	1.34970i	−0.209509	−	0.0455760i	−0.316095	+	0.948728i	$0.602372\pi$
$878$	−24.2249	−	18.1345i	−0.817550	−	0.612011i
$879$	20.7635	+	45.4658i	0.700337	+	1.53352i
$880$	−0.509742	−	0.439616i	−0.0171834	−	0.0148194i
$881$	−11.3154	−	38.5366i	−0.381224	−	1.29833i	−0.897161	−	0.441704i	$-0.854374\pi$
$881$	−11.3154	−	38.5366i	−0.381224	−	1.29833i	0.515937	−	0.856627i	$-0.327444\pi$
$882$	1.87803	+	8.63315i	0.0632365	+	0.290693i
$883$	19.1441	+	51.3273i	0.644250	+	1.72730i	0.685420	+	0.728148i	$0.259619\pi$
$883$	19.1441	+	51.3273i	0.644250	+	1.72730i	−0.0411700	+	0.999152i	$0.513109\pi$
$884$	9.22407	+	2.70843i	0.310239	+	0.0910944i
$885$	2.61590	−	3.51149i	0.0879326	−	0.118037i
$886$	8.91534	+	10.2889i	0.299517	+	0.345661i
$887$	−11.9742	−	21.9292i	−0.402056	−	0.736310i	0.595704	−	0.803204i	$-0.296873\pi$
$887$	−11.9742	−	21.9292i	−0.402056	−	0.736310i	−0.997760	+	0.0668936i	$0.978691\pi$
$888$	1.44582	−	0.539262i	0.0485184	−	0.0180964i
$889$	4.00474	+	2.57369i	0.134315	+	0.0863189i
$890$	14.7044	+	26.7803i	0.492892	+	0.897679i
$891$	−3.34879	−	0.481483i	−0.112189	−	0.0161303i
$892$	6.14166	−	16.4664i	0.205638	−	0.551337i
$893$	−36.4736	+	48.7230i	−1.22054	+	1.63045i
$894$	−9.74653	+	6.26372i	−0.325973	+	0.209490i
$895$	10.4093	+	35.1473i	0.347945	+	1.17484i
$896$			0.813951i			0.0271922i
$897$	24.0231	+	6.20947i	0.802107	+	0.207328i
$898$	−28.3007	+	28.3007i	−0.944407	+	0.944407i
$899$	−3.46873	−	3.00567i	−0.115689	−	0.100245i
$900$	5.88147	+	3.74112i	0.196049	+	0.124704i
$901$	5.08769	+	35.3857i	0.169496	+	1.17887i
$902$	0.0588878	+	0.0219640i	0.00196075	+	0.000731321i
$903$	−10.5128	−	14.0434i	−0.349843	−	0.467335i
$904$	−8.31274	+	2.44084i	−0.276478	+	0.0811812i
$905$	−26.4607	+	12.1589i	−0.879583	+	0.404175i
$906$	−8.07369	+	17.6789i	−0.268230	+	0.587343i
$907$	−5.86067	+	3.20017i	−0.194600	+	0.106260i	−0.573595	−	0.819139i	$-0.694452\pi$
$907$	−5.86067	+	3.20017i	−0.194600	+	0.106260i	0.378995	+	0.925399i	$0.376270\pi$
$908$	−0.903444	+	12.6318i	−0.0299818	+	0.419201i
$909$	0.0448730	−	0.0388827i	0.00148834	−	0.00128966i
$910$	−4.48147	−	0.310013i	−0.148559	−	0.0102768i
$911$	8.83434	+	4.03451i	0.292695	+	0.133669i	0.556351	−	0.830948i	$-0.312201\pi$
$911$	8.83434	+	4.03451i	0.292695	+	0.133669i	−0.263656	+	0.964617i	$0.584928\pi$
$912$	10.5750	−	2.30044i	0.350172	−	0.0761752i
$913$	0.162213	−	0.297071i	0.00536847	−	0.00983162i
$914$	0.693178	−	4.82116i	0.0229283	−	0.159470i
$915$	18.6894	−	14.0588i	0.617851	−	0.464771i
$916$	−8.97707	+	1.29071i	−0.296611	+	0.0426462i
$917$	−0.929549	+	4.27307i	−0.0306964	+	0.141109i
$918$	13.0784	−	0.935383i	0.431650	−	0.0308722i
$919$	33.7587			1.11360			0.556799	−	0.830647i	$-0.312029\pi$
$919$	33.7587			1.11360			0.556799	+	0.830647i	$0.312029\pi$
$920$	9.58609	+	4.80697i	0.316044	+	0.158481i
$921$	−57.1570			−1.88339
$922$	−6.98046	+	0.499252i	−0.229889	+	0.0164420i
$923$	−4.18549	+	19.2404i	−0.137767	+	0.633305i
$924$	−0.508395	+	0.0730962i	−0.0167250	+	0.00240469i
$925$	0.279709	+	3.67007i	0.00919678	+	0.120671i
$926$	3.91179	−	27.2071i	0.128549	−	0.894080i
$927$	−8.61936	+	15.7852i	−0.283097	+	0.518453i
$928$	−2.50602	+	0.545151i	−0.0822641	+	0.0178955i
$929$	21.4577	+	9.79942i	0.704006	+	0.321509i	0.735053	−	0.678009i	$-0.237157\pi$
$929$	21.4577	+	9.79942i	0.704006	+	0.321509i	−0.0310477	+	0.999518i	$0.509884\pi$
$930$	−5.50812	−	6.32682i	−0.180618	−	0.207465i
$931$	−24.7274	+	21.4264i	−0.810408	+	0.702222i
$932$	−1.79097	+	25.0411i	−0.0586652	+	0.820247i
$933$	−37.1918	+	20.3082i	−1.21760	+	0.664862i
$934$	−6.07036	+	13.2922i	−0.198628	+	0.434935i
$935$	−0.910499	+	2.45865i	−0.0297765	+	0.0804064i
$936$	−3.30148	+	0.969401i	−0.107912	+	0.0316859i
$937$	−18.7580	−	25.0577i	−0.612796	−	0.818599i	0.381599	−	0.924328i	$-0.375373\pi$
$937$	−18.7580	−	25.0577i	−0.612796	−	0.818599i	−0.994395	+	0.105729i	$0.966283\pi$
$938$	−7.54697	−	2.81487i	−0.246417	−	0.0919089i
$939$	2.57892	+	17.9368i	0.0841598	+	0.585344i
$940$	18.5961	−	18.6831i	0.606537	−	0.609374i
$941$	−16.3451	−	14.1631i	−0.532836	−	0.461705i	0.346403	−	0.938086i	$-0.387403\pi$
$941$	−16.3451	−	14.1631i	−0.532836	−	0.461705i	−0.879239	+	0.476381i	$0.841948\pi$
$942$	32.5497	−	32.5497i	1.06053	−	1.06053i
$943$	−0.995226	−	0.110063i	−0.0324090	−	0.00358415i
$944$			0.934181i			0.0304050i
$945$	−5.87463	+	1.73985i	−0.191102	+	0.0565972i
$946$	−2.60372	+	1.67331i	−0.0846541	+	0.0544039i
$947$	−4.52233	+	6.04113i	−0.146956	+	0.196310i	−0.867979	−	0.496601i	$-0.834581\pi$
$947$	−4.52233	+	6.04113i	−0.146956	+	0.196310i	0.721023	+	0.692911i	$0.243672\pi$
$948$	8.63643	−	23.1552i	0.280498	−	0.752044i
$949$	−11.8719	−	1.70693i	−0.385379	−	0.0554092i
$950$	−1.72136	+	25.7565i	−0.0558485	+	0.835650i
$951$	49.2833	+	31.6724i	1.59812	+	1.02705i
$952$	2.97045	−	1.10792i	0.0962727	−	0.0359079i
$953$	27.2726	+	49.9461i	0.883448	+	1.61791i	0.782178	+	0.623055i	$0.214109\pi$
$953$	27.2726	+	49.9461i	0.883448	+	1.61791i	0.101270	+	0.994859i	$0.467710\pi$
$954$	−8.37926	−	9.67018i	−0.271288	−	0.313084i
$955$	−19.8807	+	2.90577i	−0.643324	+	0.0940287i
$956$	−1.29078	−	0.379008i	−0.0417469	−	0.0122580i
$957$	−0.565553	−	1.51631i	−0.0182817	−	0.0490152i
$958$	−3.12867	−	14.3822i	−0.101083	−	0.464669i
$959$	0.186257	+	0.634333i	0.00601455	+	0.0204837i
$960$	−4.67453	+	0.345294i	−0.150870	+	0.0111443i
$961$	−11.5474	−	25.2852i	−0.372495	−	0.815651i
$962$	−1.45452	−	1.08884i	−0.0468956	−	0.0351056i
$963$	15.6621	+	3.40708i	0.504704	+	0.109792i
$964$	14.4120	−	16.6323i	0.464178	−	0.535691i
$965$	39.5975	−	8.71072i	1.27469	−	0.280408i
$966$	7.56933	−	3.10836i	0.243539	−	0.100010i
$967$	16.1247	+	16.1247i	0.518535	+	0.518535i	0.917128	−	0.398593i	$-0.130501\pi$
$967$	16.1247	+	16.1247i	0.518535	+	0.518535i	−0.398593	+	0.917128i	$0.630501\pi$
$968$	−0.778266	−	10.8816i	−0.0250144	−	0.349747i
$969$	−22.7895	−	35.4611i	−0.732103	−	1.13917i
$970$	11.3043	−	24.9067i	0.362960	−	0.799705i
$971$	6.79056	−	3.10114i	0.217919	−	0.0995204i	−0.303464	−	0.952843i	$-0.598143\pi$
$971$	6.79056	−	3.10114i	0.217919	−	0.0995204i	0.521384	+	0.853322i	$0.325416\pi$
$972$	−10.7752	+	8.06623i	−0.345615	+	0.258724i
$973$	6.96048	+	3.80071i	0.223143	+	0.121845i
$974$	−4.67016	+	7.26690i	−0.149641	+	0.232847i
$975$	−0.120722	−	25.8687i	−0.00386619	−	0.828460i
$976$	−1.40569	+	4.78733i	−0.0449949	+	0.153239i
$977$	−0.718959	−	0.0514210i	−0.0230015	−	0.00164510i	0.0598337	−	0.998208i	$-0.480943\pi$
$977$	−0.718959	−	0.0514210i	−0.0230015	−	0.00164510i	−0.0828352	+	0.996563i	$0.526398\pi$
$978$	−42.7747	−	3.05930i	−1.36778	−	0.0978258i
$979$	1.15877	−	3.94642i	0.0370346	−	0.126128i
$980$	11.9035	−	7.68924i	0.380244	−	0.245624i
$981$	−13.1864	+	20.5184i	−0.421008	+	0.655102i
$982$	−18.2666	−	9.97433i	−0.582911	−	0.318294i
$983$	−33.9157	+	25.3890i	−1.08174	+	0.809782i	−0.982682	−	0.185299i	$-0.940674\pi$
$983$	−33.9157	+	25.3890i	−1.08174	+	0.809782i	−0.0990600	+	0.995081i	$0.531584\pi$
$984$	0.398105	−	0.181809i	0.0126911	−	0.00579584i
$985$	31.9826	−	12.0140i	1.01905	−	0.382798i
$986$	5.40058	+	8.40346i	0.171989	+	0.267621i
$987$	−1.43492	−	20.0628i	−0.0456741	−	0.638607i
$988$	−9.01037	−	9.01037i	−0.286658	−	0.286658i
$989$	33.7092	−	35.9860i	1.07189	−	1.14429i
$990$	−0.201611	−	0.916489i	−0.00640761	−	0.0291279i
$991$	−12.6315	+	14.5775i	−0.401252	+	0.463070i	−0.920035	−	0.391836i	$-0.871840\pi$
$991$	−12.6315	+	14.5775i	−0.401252	+	0.463070i	0.518783	+	0.854906i	$0.326385\pi$
$992$	1.74875	+	0.380417i	0.0555229	+	0.0120783i
$993$	30.9810	+	23.1921i	0.983154	+	0.735980i
$994$	2.69750	+	5.90670i	0.0855594	+	0.187349i
$995$	14.3790	−	16.6727i	0.455844	−	0.528559i
$996$	−0.664026	−	2.26147i	−0.0210405	−	0.0716573i
$997$	4.85755	+	22.3298i	0.153840	+	0.707192i	0.987846	+	0.155436i	$0.0496784\pi$
$997$	4.85755	+	22.3298i	0.153840	+	0.707192i	−0.834006	+	0.551756i	$0.813958\pi$
$998$	−8.84570	−	23.7162i	−0.280006	−	0.750725i
$999$	−2.37771	−	0.698157i	−0.0752273	−	0.0220887i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.7.6	✓	240
5.3	odd	4	inner	230.2.l.a.53.12	yes	240
23.10	odd	22	inner	230.2.l.a.217.12	yes	240
115.33	even	44	inner	230.2.l.a.33.6	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.7.6	✓	240	1.1	even	1	trivial
230.2.l.a.33.6	yes	240	115.33	even	44	inner
230.2.l.a.53.12	yes	240	5.3	odd	4	inner
230.2.l.a.217.12	yes	240	23.10	odd	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.l (of order \(44\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.997452 + 0.0713392i) q^{2} +(0.445581 - 2.04831i) q^{3} +(0.989821 - 0.142315i) q^{4} +(0.313060 - 2.21404i) q^{5} +(-0.298322 + 2.07487i) q^{6} +(0.390085 - 0.714388i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-1.26811 - 0.579129i) q^{9} +(-0.154315 + 2.23074i) q^{10} +(0.227504 - 0.197133i) q^{11} +(0.149542 - 2.09087i) q^{12} +(-2.16625 + 1.18286i) q^{13} +(-0.338128 + 0.740396i) q^{14} +(-4.39554 - 1.62778i) q^{15} +(0.959493 - 0.281733i) q^{16} +(-2.33418 - 3.11810i) q^{17} +(1.30620 + 0.487187i) q^{18} +(0.734740 + 5.11023i) q^{19} +(-0.00521751 - 2.23606i) q^{20} +(-1.28947 - 1.11733i) q^{21} +(-0.212861 + 0.212861i) q^{22} +(2.45971 - 4.11702i) q^{23} +2.09621i q^{24} +(-4.80399 - 1.38626i) q^{25} +(2.07635 - 1.33439i) q^{26} +(2.01736 - 2.69487i) q^{27} +(0.284447 - 0.762632i) q^{28} +(2.53852 + 0.364985i) q^{29} +(4.50047 + 1.31006i) q^{30} +(-1.50555 - 0.967558i) q^{31} +(-0.936950 + 0.349464i) q^{32} +(-0.302418 - 0.553837i) q^{33} +(2.55068 + 2.94364i) q^{34} +(-1.45957 - 1.08731i) q^{35} +(-1.33763 - 0.392762i) q^{36} +(-0.257255 - 0.689729i) q^{37} +(-1.09743 - 5.04480i) q^{38} +(1.45762 + 4.96421i) q^{39} +(0.164723 + 2.22999i) q^{40} +(-0.0867320 - 0.189917i) q^{41} +(1.36589 + 1.02250i) q^{42} +(10.0465 + 2.18548i) q^{43} +(0.197133 - 0.227504i) q^{44} +(-1.67921 + 2.62636i) q^{45} +(-2.15974 + 4.28200i) q^{46} +(8.33589 + 8.33589i) q^{47} +(-0.149542 - 2.09087i) q^{48} +(3.42630 + 5.33143i) q^{49} +(4.89064 + 1.04001i) q^{50} +(-7.42690 + 3.39175i) q^{51} +(-1.97587 + 1.47912i) q^{52} +(-8.05563 - 4.39871i) q^{53} +(-1.81997 + 2.83192i) q^{54} +(-0.365240 - 0.565419i) q^{55} +(-0.229317 + 0.780981i) q^{56} +(10.7947 + 0.772052i) q^{57} +(-2.55809 - 0.182959i) q^{58} +(-0.263189 + 0.896340i) q^{59} +(-4.58246 - 0.985661i) q^{60} +(-2.69749 + 4.19738i) q^{61} +(1.57074 + 0.857688i) q^{62} +(-0.908396 + 0.680016i) q^{63} +(0.909632 - 0.415415i) q^{64} +(1.94075 + 5.16649i) q^{65} +(0.341158 + 0.530852i) q^{66} +(0.705970 + 9.87075i) q^{67} +(-2.75418 - 2.75418i) q^{68} +(-7.33690 - 6.87271i) q^{69} +(1.53342 + 0.980418i) q^{70} +(5.22431 - 6.02918i) q^{71} +(1.36224 + 0.296336i) q^{72} +(3.89022 + 2.91218i) q^{73} +(0.305805 + 0.669619i) q^{74} +(-4.98005 + 9.22234i) q^{75} +(1.45452 + 4.95365i) q^{76} +(-0.0520837 - 0.239425i) q^{77} +(-1.80805 - 4.84758i) q^{78} +(11.3120 + 3.32150i) q^{79} +(-0.323389 - 2.21256i) q^{80} +(-7.35984 - 8.49371i) q^{81} +(0.100060 + 0.183245i) q^{82} +(1.05349 - 0.392931i) q^{83} +(-1.43536 - 0.922448i) q^{84} +(-7.63436 + 4.19183i) q^{85} +(-10.1768 - 1.46321i) q^{86} +(1.87872 - 5.03704i) q^{87} +(-0.180401 + 0.240988i) q^{88} +(11.4942 - 7.38685i) q^{89} +(1.48757 - 2.73946i) q^{90} +2.00896i q^{91} +(1.84876 - 4.42516i) q^{92} +(-2.65270 + 2.65270i) q^{93} +(-8.90933 - 7.71997i) q^{94} +(11.5443 - 0.0269369i) q^{95} +(0.298322 + 2.07487i) q^{96} +(-11.4609 - 4.27471i) q^{97} +(-3.79791 - 5.07342i) q^{98} +(-0.402667 + 0.118234i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) \) 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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