LMFDB - Embedded newform 820.2.bw.b.11.37

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [820,2,Mod(11,820)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(820, base_ring=CyclotomicField(40)) chi = DirichletCharacter(H, H._module([20, 0, 3])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("820.11"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 820 = 2^{2} \cdot 5 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	820.bw (of order $40$, degree $16$, minimal)

Newform invariants

comment:select newform

sage:traces = [672,0,0,0,0,12,0,0,16] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(9)] == traces)

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

Self dual:	no
Analytic conductor:	$6.54773296574$
Analytic rank:	$0$
Dimension:	$672$
Relative dimension:	$42$ over $\Q(\zeta_{40})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{40}]$

Embedding invariants

Embedding label			11.37
Character	$\chi$	$=$	820.11
Dual form			820.2.bw.b.671.37

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.34757 + 0.429006i) q^{2} +(-0.760926 + 1.83704i) q^{3} +(1.63191 + 1.15623i) q^{4} +(0.453990 - 0.891007i) q^{5} +(-1.81350 + 2.14910i) q^{6} +(-0.369288 - 1.53819i) q^{7} +(1.70308 + 2.25821i) q^{8} +(-0.674382 - 0.674382i) q^{9} +(0.994033 - 1.00593i) q^{10} +(-2.97155 + 3.47924i) q^{11} +(-3.36581 + 2.11807i) q^{12} +(-0.694833 - 1.13386i) q^{13} +(0.162252 - 2.23126i) q^{14} +(1.29136 + 1.51199i) q^{15} +(1.32624 + 3.77374i) q^{16} +(0.612824 + 7.78667i) q^{17} +(-0.619465 - 1.19809i) q^{18} +(0.189408 + 0.116069i) q^{19} +(1.77108 - 0.929121i) q^{20} +(3.10672 + 0.492057i) q^{21} +(-5.49700 + 3.41372i) q^{22} +(4.85718 + 3.52895i) q^{23} +(-5.44434 + 1.41030i) q^{24} +(-0.587785 - 0.809017i) q^{25} +(-0.449904 - 1.82605i) q^{26} +(-3.75910 + 1.55707i) q^{27} +(1.17587 - 2.93717i) q^{28} +(-0.394065 + 5.00707i) q^{29} +(1.09155 + 2.59152i) q^{30} +(2.03933 - 6.27642i) q^{31} +(0.168255 + 5.65435i) q^{32} +(-4.13037 - 8.10630i) q^{33} +(-2.51470 + 10.7560i) q^{34} +(-1.53819 - 0.369288i) q^{35} +(-0.320785 - 1.88027i) q^{36} +(-0.663202 - 2.04113i) q^{37} +(0.205447 + 0.237669i) q^{38} +(2.61167 - 0.413648i) q^{39} +(2.78526 - 0.492253i) q^{40} +(-0.182878 - 6.40051i) q^{41} +(3.97544 + 1.99589i) q^{42} +(-1.57691 - 9.95621i) q^{43} +(-8.87211 + 2.24199i) q^{44} +(-0.907041 + 0.294716i) q^{45} +(5.03147 + 6.83928i) q^{46} +(-0.184720 + 0.769413i) q^{47} +(-7.94167 - 0.435173i) q^{48} +(4.00738 - 2.04186i) q^{49} +(-0.445010 - 1.34237i) q^{50} +(-14.7707 - 4.79930i) q^{51} +(0.177110 - 2.65375i) q^{52} +(6.32005 + 0.497399i) q^{53} +(-5.73365 + 0.485589i) q^{54} +(1.75097 + 4.22721i) q^{55} +(2.84464 - 3.45360i) q^{56} +(-0.357349 + 0.259630i) q^{57} +(-2.67909 + 6.57834i) q^{58} +(3.71165 - 5.10865i) q^{59} +(0.359167 + 3.96054i) q^{60} +(-0.117265 + 0.740384i) q^{61} +(5.44077 - 7.58305i) q^{62} +(-0.788289 + 1.28637i) q^{63} +(-2.19902 + 7.69184i) q^{64} +(-1.32573 + 0.104337i) q^{65} +(-2.08832 - 12.6958i) q^{66} +(2.25674 - 1.92744i) q^{67} +(-8.00314 + 13.4157i) q^{68} +(-10.1788 + 6.23756i) q^{69} +(-1.91440 - 1.15754i) q^{70} +(3.14741 + 2.68814i) q^{71} +(0.374367 - 2.67142i) q^{72} +(-8.46685 + 8.46685i) q^{73} +(-0.0180577 - 3.03509i) q^{74} +(1.93346 - 0.464182i) q^{75} +(0.174893 + 0.408414i) q^{76} +(6.44910 + 3.28598i) q^{77} +(3.69687 + 0.563002i) q^{78} +(2.31353 + 0.958296i) q^{79} +(3.96452 + 0.531548i) q^{80} -10.9516i q^{81} +(2.49942 - 8.70362i) q^{82} -9.11427i q^{83} +(4.50095 + 4.39509i) q^{84} +(7.21619 + 2.98904i) q^{85} +(2.14627 - 14.0932i) q^{86} +(-8.89832 - 4.53392i) q^{87} +(-12.9176 - 0.784949i) q^{88} +(7.63688 - 1.83345i) q^{89} +(-1.34874 + 0.00802455i) q^{90} +(-1.48751 + 1.48751i) q^{91} +(3.84618 + 11.3750i) q^{92} +(9.97824 + 8.52222i) q^{93} +(-0.579006 + 0.957594i) q^{94} +(0.189408 - 0.116069i) q^{95} +(-10.5153 - 3.99345i) q^{96} +(3.16973 - 2.70721i) q^{97} +(6.27621 - 1.03237i) q^{98} +(4.35029 - 0.342376i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 672 q + 12 q^{6} + 16 q^{9} - 124 q^{12} - 24 q^{14} - 32 q^{16} - 8 q^{17} + 40 q^{21} - 4 q^{22} - 24 q^{24} - 28 q^{28} - 12 q^{30} - 20 q^{32} + 40 q^{33} - 4 q^{34} - 60 q^{36} + 80 q^{37} - 172 q^{38}+ \cdots - 116 q^{98}+O(q^{100}) $ 672 * q + 12 * q^6 + 16 * q^9 - 124 * q^12 - 24 * q^14 - 32 * q^16 - 8 * q^17 + 40 * q^21 - 4 * q^22 - 24 * q^24 - 28 * q^28 - 12 * q^30 - 20 * q^32 + 40 * q^33 - 4 * q^34 - 60 * q^36 + 80 * q^37 - 172 * q^38 + 160 * q^42 - 24 * q^44 - 16 * q^46 + 40 * q^48 - 24 * q^52 - 64 * q^54 + 68 * q^56 - 112 * q^58 + 36 * q^62 - 120 * q^64 + 8 * q^65 + 144 * q^68 - 104 * q^69 + 24 * q^70 - 320 * q^72 - 92 * q^74 - 24 * q^76 + 160 * q^77 - 128 * q^78 - 192 * q^82 - 172 * q^84 - 32 * q^85 - 112 * q^88 + 8 * q^89 - 48 * q^90 + 24 * q^92 + 92 * q^94 + 56 * q^96 - 116 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/820\mathbb{Z}\right)^\times$.

$n$	$411$	$621$	$657$
$\chi(n)$	$-1$	$e\left(\frac{3}{40}\right)$	$1$

Coefficient data

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

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

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

$2$	1.34757	+	0.429006i	0.952878	+	0.303353i
$2$	1.34757	+	0.429006i	0.952878	+	0.303353i
$3$	−0.760926	+	1.83704i	−0.439321	+	1.06061i	0.536863	+	0.843670i	$0.319609\pi$
$3$	−0.760926	+	1.83704i	−0.439321	+	1.06061i	−0.976184	+	0.216945i	$0.930391\pi$
$4$	1.63191	+	1.15623i	0.815954	+	0.578117i
$5$	0.453990	−	0.891007i	0.203031	−	0.398470i
$5$	0.453990	−	0.891007i	0.203031	−	0.398470i
$6$	−1.81350	+	2.14910i	−0.740360	+	0.877367i
$7$	−0.369288	−	1.53819i	−0.139578	−	0.581383i	−0.997691	−	0.0679219i	$-0.978363\pi$
$7$	−0.369288	−	1.53819i	−0.139578	−	0.581383i	0.858113	−	0.513461i	$-0.171637\pi$
$8$	1.70308	+	2.25821i	0.602131	+	0.798397i
$9$	−0.674382	−	0.674382i	−0.224794	−	0.224794i
$10$	0.994033	−	1.00593i	0.314341	−	0.318104i
$11$	−2.97155	+	3.47924i	−0.895956	+	1.04903i	0.102568	+	0.994726i	$0.467294\pi$
$11$	−2.97155	+	3.47924i	−0.895956	+	1.04903i	−0.998524	+	0.0543042i	$0.982706\pi$
$12$	−3.36581	+	2.11807i	−0.971625	+	0.611433i
$13$	−0.694833	−	1.13386i	−0.192712	−	0.314478i	0.741660	−	0.670776i	$-0.234039\pi$
$13$	−0.694833	−	1.13386i	−0.192712	−	0.314478i	−0.934372	+	0.356298i	$0.884039\pi$
$14$	0.162252	−	2.23126i	0.0433638	−	0.596328i
$15$	1.29136	+	1.51199i	0.333428	+	0.390394i
$16$	1.32624	+	3.77374i	0.331561	+	0.943434i
$17$	0.612824	+	7.78667i	0.148632	+	1.88855i	0.393993	+	0.919113i	$0.371093\pi$
$17$	0.612824	+	7.78667i	0.148632	+	1.88855i	−0.245361	+	0.969432i	$0.578907\pi$
$18$	−0.619465	−	1.19809i	−0.146009	−	0.282393i
$19$	0.189408	+	0.116069i	0.0434532	+	0.0266281i	0.544055	−	0.839049i	$-0.316888\pi$
$19$	0.189408	+	0.116069i	0.0434532	+	0.0266281i	−0.500602	+	0.865677i	$0.666888\pi$
$20$	1.77108	−	0.929121i	0.396026	−	0.207758i
$21$	3.10672	+	0.492057i	0.677943	+	0.107376i
$22$	−5.49700	+	3.41372i	−1.17196	+	0.727807i
$23$	4.85718	+	3.52895i	1.01279	+	0.735837i	0.964793	−	0.263010i	$-0.0847153\pi$
$23$	4.85718	+	3.52895i	1.01279	+	0.735837i	0.0479997	+	0.998847i	$0.484715\pi$
$24$	−5.44434	+	1.41030i	−1.11132	+	0.287876i
$25$	−0.587785	−	0.809017i	−0.117557	−	0.161803i
$26$	−0.449904	−	1.82605i	−0.0882334	−	0.358119i
$27$	−3.75910	+	1.55707i	−0.723438	+	0.299658i
$28$	1.17587	−	2.93717i	0.222218	−	0.555074i
$29$	−0.394065	+	5.00707i	−0.0731760	+	0.929789i	0.845295	+	0.534300i	$0.179425\pi$
$29$	−0.394065	+	5.00707i	−0.0731760	+	0.929789i	−0.918471	+	0.395489i	$0.870575\pi$
$30$	1.09155	+	2.59152i	0.199289	+	0.473144i
$31$	2.03933	−	6.27642i	0.366275	−	1.12728i	−0.582904	−	0.812541i	$-0.698084\pi$
$31$	2.03933	−	6.27642i	0.366275	−	1.12728i	0.949179	−	0.314737i	$-0.101916\pi$
$32$	0.168255	+	5.65435i	0.0297436	+	0.999558i
$33$	−4.13037	−	8.10630i	−0.719004	−	1.41113i
$34$	−2.51470	+	10.7560i	−0.431268	+	1.84464i
$35$	−1.53819	−	0.369288i	−0.260002	−	0.0624210i
$36$	−0.320785	−	1.88027i	−0.0534642	−	0.313379i
$37$	−0.663202	−	2.04113i	−0.109030	−	0.335559i	0.881625	−	0.471950i	$-0.156450\pi$
$37$	−0.663202	−	2.04113i	−0.109030	−	0.335559i	−0.990655	+	0.136391i	$0.956450\pi$
$38$	0.205447	+	0.237669i	0.0333279	+	0.0385550i
$39$	2.61167	−	0.413648i	0.418202	−	0.0662367i
$40$	2.78526	−	0.492253i	0.440389	−	0.0778320i
$41$	−0.182878	−	6.40051i	−0.0285608	−	0.999592i
$41$	−0.182878	−	6.40051i	−0.0285608	−	0.999592i
$42$	3.97544	+	1.99589i	0.613424	+	0.307972i
$43$	−1.57691	−	9.95621i	−0.240476	−	1.51831i	−0.752072	−	0.659081i	$-0.770945\pi$
$43$	−1.57691	−	9.95621i	−0.240476	−	1.51831i	0.511596	−	0.859226i	$-0.329055\pi$
$44$	−8.87211	+	2.24199i	−1.33752	+	0.337992i
$45$	−0.907041	+	0.294716i	−0.135214	+	0.0439336i
$46$	5.03147	+	6.83928i	0.741850	+	1.00840i
$47$	−0.184720	+	0.769413i	−0.0269441	+	0.112230i	−0.984221	−	0.176941i	$-0.943380\pi$
$47$	−0.184720	+	0.769413i	−0.0269441	+	0.112230i	0.957277	+	0.289171i	$0.0933798\pi$
$48$	−7.94167	−	0.435173i	−1.14628	−	0.0628118i
$49$	4.00738	−	2.04186i	0.572482	−	0.291694i
$50$	−0.445010	−	1.34237i	−0.0629340	−	0.189840i
$51$	−14.7707	−	4.79930i	−2.06832	−	0.672037i
$52$	0.177110	−	2.65375i	0.0245607	−	0.368009i
$53$	6.32005	+	0.497399i	0.868126	+	0.0683230i	0.504695	−	0.863298i	$-0.331605\pi$
$53$	6.32005	+	0.497399i	0.868126	+	0.0683230i	0.363432	+	0.931621i	$0.381605\pi$
$54$	−5.73365	+	0.485589i	−0.780251	+	0.0660802i
$55$	1.75097	+	4.22721i	0.236101	+	0.569997i
$56$	2.84464	−	3.45360i	0.380131	−	0.461507i
$57$	−0.357349	+	0.259630i	−0.0473321	+	0.0343888i
$58$	−2.67909	+	6.57834i	−0.351782	+	0.863778i
$59$	3.71165	−	5.10865i	0.483216	−	0.665090i	−0.495903	−	0.868378i	$-0.665163\pi$
$59$	3.71165	−	5.10865i	0.483216	−	0.665090i	0.979119	+	0.203288i	$0.0651628\pi$
$60$	0.359167	+	3.96054i	0.0463683	+	0.511304i
$61$	−0.117265	+	0.740384i	−0.0150143	+	0.0947964i	−0.994058	−	0.108856i	$-0.965281\pi$
$61$	−0.117265	+	0.740384i	−0.0150143	+	0.0947964i	0.979043	+	0.203652i	$0.0652813\pi$
$62$	5.44077	−	7.58305i	0.690979	−	0.963048i
$63$	−0.788289	+	1.28637i	−0.0993151	+	0.162067i
$64$	−2.19902	+	7.69184i	−0.274877	+	0.961479i
$65$	−1.32573	+	0.104337i	−0.164436	+	0.0129414i
$66$	−2.08832	−	12.6958i	−0.257054	−	1.56274i
$67$	2.25674	−	1.92744i	0.275705	−	0.235474i	−0.500834	−	0.865543i	$-0.666973\pi$
$67$	2.25674	−	1.92744i	0.275705	−	0.235474i	0.776539	+	0.630069i	$0.216973\pi$
$68$	−8.00314	+	13.4157i	−0.970524	+	1.62689i
$69$	−10.1788	+	6.23756i	−1.22538	+	0.750914i
$70$	−1.91440	−	1.15754i	−0.228815	−	0.138352i
$71$	3.14741	+	2.68814i	0.373528	+	0.319023i	0.816319	−	0.577602i	$-0.196011\pi$
$71$	3.14741	+	2.68814i	0.373528	+	0.319023i	−0.442790	+	0.896625i	$0.646011\pi$
$72$	0.374367	−	2.67142i	0.0441195	−	0.314830i
$73$	−8.46685	+	8.46685i	−0.990970	+	0.990970i	−0.999960	−	0.00898942i	$-0.997139\pi$
$73$	−8.46685	+	8.46685i	−0.990970	+	0.990970i	0.00898942	+	0.999960i	$0.497139\pi$
$74$	−0.0180577	−	3.03509i	−0.00209917	−	0.352821i
$75$	1.93346	−	0.464182i	0.223256	−	0.0535991i
$76$	0.174893	+	0.408414i	0.0200616	+	0.0468484i
$77$	6.44910	+	3.28598i	0.734944	+	0.374472i
$78$	3.69687	+	0.563002i	0.418589	+	0.0637474i
$79$	2.31353	+	0.958296i	0.260293	+	0.107817i	0.509014	−	0.860758i	$-0.330010\pi$
$79$	2.31353	+	0.958296i	0.260293	+	0.107817i	−0.248721	+	0.968575i	$0.580010\pi$
$80$	3.96452	+	0.531548i	0.443247	+	0.0594289i
$81$		−	10.9516i		−	1.21684i
$82$	2.49942	−	8.70362i	0.276014	−	0.961153i
$83$		−	9.11427i		−	1.00042i	−0.865904	−	0.500211i	$-0.833256\pi$
$83$		−	9.11427i		−	1.00042i	0.865904	−	0.500211i	$-0.166744\pi$
$84$	4.50095	+	4.39509i	0.491094	+	0.479544i
$85$	7.21619	+	2.98904i	0.782706	+	0.324207i
$86$	2.14627	−	14.0932i	0.231439	−	1.51971i
$87$	−8.89832	−	4.53392i	−0.954000	−	0.486088i
$88$	−12.9176	−	0.784949i	−1.37703	−	0.0836759i
$89$	7.63688	−	1.83345i	0.809507	−	0.194346i	0.192494	−	0.981298i	$-0.438342\pi$
$89$	7.63688	−	1.83345i	0.809507	−	0.194346i	0.617013	+	0.786953i	$0.288342\pi$
$90$	−1.34874	+	0.00802455i	−0.142170	+	0.000845862i
$91$	−1.48751	+	1.48751i	−0.155934	+	0.155934i
$92$	3.84618	+	11.3750i	0.400992	+	1.18592i
$93$	9.97824	+	8.52222i	1.03470	+	0.883713i
$94$	−0.579006	+	0.957594i	−0.0597199	+	0.0987683i
$95$	0.189408	−	0.116069i	0.0194328	−	0.0119085i
$96$	−10.5153	−	3.99345i	−1.07321	−	0.407580i
$97$	3.16973	−	2.70721i	0.321838	−	0.274875i	−0.473820	−	0.880622i	$-0.657125\pi$
$97$	3.16973	−	2.70721i	0.321838	−	0.274875i	0.795658	+	0.605746i	$0.207125\pi$
$98$	6.27621	−	1.03237i	0.633992	−	0.104285i
$99$	4.35029	−	0.342376i	0.437221	−	0.0344100i
$100$	−0.0237978	−	1.99986i	−0.00237978	−	0.199986i
$101$	7.86924	−	12.8414i	0.783019	−	1.27777i	−0.173133	−	0.984898i	$-0.555389\pi$
$101$	7.86924	−	12.8414i	0.783019	−	1.27777i	0.956152	−	0.292872i	$-0.0946109\pi$
$102$	−17.8457	−	12.8041i	−1.76699	−	1.26780i
$103$	−1.01368	+	6.40011i	−0.0998807	+	0.630622i	0.886066	+	0.463560i	$0.153428\pi$
$103$	−1.01368	+	6.40011i	−0.0998807	+	0.630622i	−0.985946	+	0.167062i	$0.946572\pi$
$104$	1.37714	−	3.50014i	0.135040	−	0.343217i
$105$	1.84885	−	2.54472i	0.180429	−	0.248339i
$106$	8.30335	+	3.38162i	0.806493	+	0.328452i
$107$	−12.9316	+	9.39533i	−1.25014	+	0.908280i	−0.998230	−	0.0594701i	$-0.981059\pi$
$107$	−12.9316	+	9.39533i	−1.25014	+	0.908280i	−0.251911	+	0.967750i	$0.581059\pi$
$108$	−7.93483	−	1.80540i	−0.763530	−	0.173725i
$109$	−4.61338	−	11.1377i	−0.441882	−	1.06680i	−0.975288	−	0.220938i	$-0.929088\pi$
$109$	−4.61338	−	11.1377i	−0.441882	−	1.06680i	0.533406	−	0.845859i	$-0.320912\pi$
$110$	0.546059	+	6.44766i	0.0520647	+	0.614760i
$111$	4.25428	+	0.334819i	0.403798	+	0.0317796i
$112$	5.31497	−	3.43362i	0.502218	−	0.324446i
$113$	13.3643	+	4.34233i	1.25721	+	0.408492i	0.860500	−	0.509451i	$-0.170152\pi$
$113$	13.3643	+	4.34233i	1.25721	+	0.408492i	0.396711	+	0.917944i	$0.370152\pi$
$114$	−0.592937	+	0.196565i	−0.0555337	+	0.0184100i
$115$	5.34943	−	2.72567i	0.498837	−	0.254170i
$116$	−6.43242	+	7.71544i	−0.597235	+	0.716361i
$117$	−0.296075	+	1.23324i	−0.0273721	+	0.114013i
$118$	7.19337	−	5.29196i	0.662203	−	0.487165i
$119$	11.7511	−	3.81817i	1.07722	−	0.350011i
$120$	−1.21509	+	5.49120i	−0.110922	+	0.501276i
$121$	−1.55421	−	9.81291i	−0.141292	−	0.892083i
$122$	−0.475653	+	0.947414i	−0.0430636	+	0.0857748i
$123$	11.8971	+	4.53436i	1.07273	+	0.408850i
$124$	10.5850	−	7.88459i	0.950562	−	0.708057i
$125$	−0.987688	+	0.156434i	−0.0883415	+	0.0139919i
$126$	−1.61414	+	1.39530i	−0.143799	+	0.124303i
$127$	3.36871	+	10.3678i	0.298925	+	0.919997i	0.981875	+	0.189531i	$0.0606968\pi$
$127$	3.36871	+	10.3678i	0.298925	+	0.919997i	−0.682950	+	0.730465i	$0.739303\pi$
$128$	−6.26318	+	9.42192i	−0.553592	+	0.832788i
$129$	19.4898	+	4.67910i	1.71599	+	0.411972i
$130$	−1.83128	−	0.428144i	−0.160614	−	0.0375507i
$131$	−8.19158	−	16.0769i	−0.715701	−	1.40464i	−0.906154	−	0.422947i	$-0.860996\pi$
$131$	−8.19158	−	16.0769i	−0.715701	−	1.40464i	0.190453	−	0.981696i	$-0.439004\pi$
$132$	2.63241	−	18.0044i	0.229122	−	1.56708i
$133$	0.108591	−	0.334209i	0.00941605	−	0.0289796i
$134$	3.86801	−	1.62921i	0.334145	−	0.140742i
$135$	−0.319236	+	4.05627i	−0.0274754	+	0.349108i
$136$	−16.5402	+	14.6452i	−1.41831	+	1.25582i
$137$	−0.214130	+	0.0886957i	−0.0182944	+	0.00757779i	−0.391812	−	0.920045i	$-0.628152\pi$
$137$	−0.214130	+	0.0886957i	−0.0182944	+	0.00757779i	0.373517	+	0.927623i	$0.378152\pi$
$138$	−16.3926	+	4.03881i	−1.39543	+	0.343807i
$139$	7.60033	+	10.4610i	0.644651	+	0.887286i	0.998853	−	0.0478828i	$-0.0152474\pi$
$139$	7.60033	+	10.4610i	0.644651	+	0.887286i	−0.354202	+	0.935169i	$0.615247\pi$
$140$	−2.08321	−	2.38116i	−0.176063	−	0.201244i
$141$	−1.27288	−	0.924803i	−0.107196	−	0.0778825i
$142$	3.08813	+	4.97272i	0.259150	+	0.417301i
$143$	6.00972	+	0.951846i	0.502558	+	0.0795974i
$144$	1.65054	−	3.43933i	0.137545	−	0.286611i
$145$	4.28243	+	2.62428i	0.355636	+	0.217934i
$146$	−15.0420	+	7.77737i	−1.24489	+	0.643660i
$147$	0.701658	+	8.91541i	0.0578718	+	0.735331i
$148$	1.27774	−	4.09775i	0.105029	−	0.336833i
$149$	−3.44121	−	4.02914i	−0.281915	−	0.330080i	0.601322	−	0.799007i	$-0.294641\pi$
$149$	−3.44121	−	4.02914i	−0.281915	−	0.330080i	−0.883237	+	0.468926i	$0.844641\pi$
$150$	2.80461	+	0.203946i	0.228996	+	0.0166521i
$151$	−4.01089	−	6.54517i	−0.326401	−	0.532638i	0.646780	−	0.762676i	$-0.276115\pi$
$151$	−4.01089	−	6.54517i	−0.326401	−	0.532638i	−0.973182	+	0.230038i	$0.926115\pi$
$152$	0.0604687	+	0.625399i	0.00490466	+	0.0507265i
$153$	4.83791	−	5.66446i	0.391122	−	0.457945i
$154$	7.28093	+	7.19481i	0.586714	+	0.579774i
$155$	−4.66649	−	4.66649i	−0.374822	−	0.374822i
$156$	4.74028	+	2.34467i	0.379526	+	0.187724i
$157$	5.37112	+	22.3723i	0.428662	+	1.78551i	0.599683	+	0.800238i	$0.295294\pi$
$157$	5.37112	+	22.3723i	0.428662	+	1.78551i	−0.171021	+	0.985267i	$0.554706\pi$
$158$	2.70654	+	2.28389i	0.215321	+	0.181697i
$159$	−5.72284	+	11.2317i	−0.453850	+	0.890732i
$160$	5.11445	+	2.41711i	0.404333	+	0.191089i
$161$	3.63451	−	8.77449i	0.286440	−	0.691527i
$162$	4.69829	−	14.7581i	0.369133	−	1.15950i
$163$	0.486644			0.0381169			0.0190585	−	0.999818i	$-0.493933\pi$
$163$	0.486644			0.0381169			0.0190585	+	0.999818i	$0.493933\pi$
$164$	7.10205	−	10.6565i	0.554577	−	0.832132i
$165$	−9.09791			−0.708272
$166$	3.91008	−	12.2822i	0.303481	−	0.953280i
$167$	5.88196	−	14.2003i	0.455160	−	1.09885i	−0.515174	−	0.857085i	$-0.672273\pi$
$167$	5.88196	−	14.2003i	0.455160	−	1.09885i	0.970334	−	0.241768i	$-0.0777272\pi$
$168$	4.17984	+	7.85364i	0.322482	+	0.605922i
$169$	5.09902	−	10.0074i	0.392232	−	0.769799i
$170$	8.44203	+	7.12375i	0.647474	+	0.546366i
$171$	−0.0494582	−	0.206008i	−0.00378216	−	0.0157538i
$172$	8.93834	−	18.0709i	0.681542	−	1.37789i
$173$	−2.79065	−	2.79065i	−0.212169	−	0.212169i	0.593019	−	0.805188i	$-0.297936\pi$
$173$	−2.79065	−	2.79065i	−0.212169	−	0.212169i	−0.805188	+	0.593019i	$0.797936\pi$
$174$	−10.0461	−	9.92723i	−0.761590	−	0.752581i
$175$	−1.02736	+	1.20289i	−0.0776614	+	0.0909298i
$176$	−17.0707	−	6.59953i	−1.28675	−	0.497458i
$177$	6.56050	+	10.7058i	0.493117	+	0.804694i
$178$	11.0778	+	0.805556i	0.830317	+	0.0603790i
$179$	4.32279	+	5.06133i	0.323100	+	0.378302i	0.898055	−	0.439884i	$-0.144980\pi$
$179$	4.32279	+	5.06133i	0.323100	+	0.378302i	−0.574955	+	0.818185i	$0.694980\pi$
$180$	−1.82097	−	0.567804i	−0.135727	−	0.0423216i
$181$	−1.72105	−	21.8680i	−0.127925	−	1.62544i	−0.641313	−	0.767279i	$-0.721610\pi$
$181$	−1.72105	−	21.8680i	−0.127925	−	1.62544i	0.513389	−	0.858156i	$-0.328390\pi$
$182$	−2.64268	+	1.36638i	−0.195889	+	0.101283i
$183$	−1.27088	−	0.778798i	−0.0939464	−	0.0575704i
$184$	0.303080	+	16.9786i	0.0223434	+	1.25168i
$185$	−2.11974	−	0.335735i	−0.155847	−	0.0246837i
$186$	9.79032	+	15.7650i	0.717861	+	1.15595i
$187$	−28.9127	−	21.0063i	−2.11431	−	1.53613i
$188$	−1.19107	+	1.04203i	−0.0868675	+	0.0759979i
$189$	3.78326	+	5.20721i	0.275192	+	0.378769i
$190$	0.305036	−	0.0751548i	0.0221296	−	0.00545230i
$191$	6.89217	−	2.85483i	0.498700	−	0.206568i	−0.119132	−	0.992878i	$-0.538011\pi$
$191$	6.89217	−	2.85483i	0.498700	−	0.206568i	0.617832	+	0.786310i	$0.288011\pi$
$192$	−12.4569	−	9.89260i	−0.899000	−	0.713937i
$193$	−1.37718	+	17.4988i	−0.0991318	+	1.25959i	0.723223	+	0.690614i	$0.242660\pi$
$193$	−1.37718	+	17.4988i	−0.0991318	+	1.25959i	−0.822355	+	0.568974i	$0.807340\pi$
$194$	5.43286	−	2.28833i	0.390056	−	0.164292i
$195$	0.817111	−	2.51481i	0.0585145	−	0.180089i
$196$	8.90054	+	1.30134i	0.635753	+	0.0929529i
$197$	1.36433	+	2.67764i	0.0972043	+	0.190774i	0.934488	−	0.355994i	$-0.115858\pi$
$197$	1.36433	+	2.67764i	0.0972043	+	0.190774i	−0.837284	+	0.546769i	$0.815858\pi$
$198$	6.00922	+	1.40493i	0.427057	+	0.0998438i
$199$	23.0477	+	5.53326i	1.63381	+	0.392242i	0.943526	−	0.331299i	$-0.107487\pi$
$199$	23.0477	+	5.53326i	1.63381	+	0.392242i	0.690281	+	0.723542i	$0.257487\pi$
$200$	0.825882	−	2.70517i	0.0583987	−	0.191284i
$201$	1.82357	+	5.61237i	0.128625	+	0.395866i
$202$	16.1134	−	13.9288i	1.13374	−	0.980028i
$203$	7.84737	−	1.24290i	0.550777	−	0.0872345i
$204$	−18.5553	−	24.9104i	−1.29913	−	1.74408i
$205$	−5.78592	−	2.74283i	−0.404106	−	0.191567i
$206$	−4.11169	+	8.18975i	−0.286475	+	0.570607i
$207$	−0.895736	−	5.65545i	−0.0622579	−	0.393081i
$208$	3.35739	−	4.12590i	0.232793	−	0.286080i
$209$	−0.966669	+	0.314090i	−0.0668659	+	0.0217260i
$210$	3.58316	−	2.63603i	0.247262	−	0.181903i
$211$	0.177618	−	0.739833i	0.0122277	−	0.0509322i	−0.965923	−	0.258831i	$-0.916663\pi$
$211$	0.177618	−	0.739833i	0.0122277	−	0.0509322i	0.978150	+	0.207899i	$0.0666626\pi$
$212$	9.73863	+	8.11917i	0.668852	+	0.557627i
$213$	−7.33316	+	3.73643i	−0.502460	+	0.256016i
$214$	−21.4569	+	7.11317i	−1.46676	+	0.486246i
$215$	−9.58695	−	3.11499i	−0.653824	−	0.212440i
$216$	−9.91824	−	5.83701i	−0.674851	−	0.397158i
$217$	−10.4074	−	0.819084i	−0.706504	−	0.0556030i
$218$	−1.43873	−	16.9880i	−0.0974433	−	1.15057i
$219$	−9.11128	−	21.9966i	−0.615684	−	1.48639i
$220$	−2.03023	+	8.92295i	−0.136878	+	0.601585i
$221$	8.40322	−	6.10530i	0.565262	−	0.410687i
$222$	5.58931	+	2.27630i	0.375130	+	0.152775i
$223$	6.03934	−	8.31244i	0.404424	−	0.556642i	−0.557423	−	0.830228i	$-0.688210\pi$
$223$	6.03934	−	8.31244i	0.404424	−	0.556642i	0.961847	+	0.273586i	$0.0882099\pi$
$224$	8.63536	−	2.34689i	0.576974	−	0.156808i
$225$	−0.149195	+	0.941978i	−0.00994631	+	0.0627985i
$226$	16.1465	+	11.5850i	1.07405	+	0.770622i
$227$	3.80169	−	6.20380i	0.252327	−	0.411761i	−0.701247	−	0.712918i	$-0.747373\pi$
$227$	3.80169	−	6.20380i	0.252327	−	0.411761i	0.953574	+	0.301158i	$0.0973731\pi$
$228$	−0.883354	+	0.0105117i	−0.0585015	+	0.000696154i
$229$	−17.9582	+	1.41334i	−1.18671	+	0.0933965i	−0.656406	−	0.754408i	$-0.727924\pi$
$229$	−17.9582	+	1.41334i	−1.18671	+	0.0933965i	−0.530309	+	0.847805i	$0.677924\pi$
$230$	8.37808	−	1.37810i	0.552434	−	0.0908694i
$231$	−10.9438	+	9.34686i	−0.720047	+	0.614978i
$232$	−11.9781	+	7.63757i	−0.786403	+	0.501431i
$233$	−17.9127	+	10.9769i	−1.17350	+	0.719124i	−0.965856	−	0.259080i	$-0.916581\pi$
$233$	−17.9127	+	10.9769i	−1.17350	+	0.719124i	−0.207647	+	0.978204i	$0.566581\pi$
$234$	−0.928050	+	1.53486i	−0.0606685	+	0.100337i
$235$	0.601691	+	0.513892i	0.0392500	+	0.0335226i
$236$	11.9639	−	4.04531i	0.778782	−	0.263327i
$237$	−3.52085	+	3.52085i	−0.228704	+	0.228704i
$238$	17.4735	−	0.103961i	1.13264	−	0.00673882i
$239$	0.385058	−	0.0924442i	0.0249073	−	0.00597972i	−0.220973	−	0.975280i	$-0.570923\pi$
$239$	0.385058	−	0.0924442i	0.0249073	−	0.00597972i	0.245880	+	0.969300i	$0.420923\pi$
$240$	−3.99319	+	6.87852i	−0.257759	+	0.444006i
$241$	23.2091	+	11.8256i	1.49503	+	0.761756i	0.994577	−	0.104007i	$-0.0331664\pi$
$241$	23.2091	+	11.8256i	1.49503	+	0.761756i	0.500454	+	0.865763i	$0.333166\pi$
$242$	2.11538	−	13.8904i	0.135982	−	0.892907i
$243$	8.84118	+	3.66214i	0.567162	+	0.234926i
$244$	−1.04742	+	1.07265i	−0.0670544	+	0.0686695i
$245$		−	4.49758i		−	0.287340i
$246$	14.0870	+	11.2143i	0.898155	+	0.715000i
$247$		−	0.295412i		−	0.0187966i
$248$	17.6466	−	6.08402i	1.12056	−	0.386336i
$249$	16.7433	+	6.93529i	1.06106	+	0.439506i
$250$	−1.39809	−	0.212917i	−0.0884232	−	0.0134661i
$251$	−17.2730	−	8.80104i	−1.09026	−	0.555517i	−0.186025	−	0.982545i	$-0.559560\pi$
$251$	−17.2730	−	8.80104i	−1.09026	−	0.555517i	−0.904238	+	0.427028i	$0.859560\pi$
$252$	−2.77376	+	1.18779i	−0.174731	+	0.0748238i
$253$	−26.7114	+	6.41285i	−1.67933	+	0.403172i
$254$	0.0917237	+	15.4166i	0.00575526	+	0.967325i
$255$	−10.9820	+	10.9820i	−0.687718	+	0.687718i
$256$	−12.4822	+	10.0098i	−0.780135	+	0.625612i
$257$	−12.2257	−	10.4417i	−0.762618	−	0.651337i	0.180583	−	0.983560i	$-0.442201\pi$
$257$	−12.2257	−	10.4417i	−0.762618	−	0.651337i	−0.943201	+	0.332223i	$0.892201\pi$
$258$	24.2566	+	14.6667i	1.51015	+	0.913108i
$259$	−2.89474	+	1.77390i	−0.179870	+	0.110225i
$260$	−2.28410	−	1.36258i	−0.141654	−	0.0845039i
$261$	3.64242	−	3.11092i	0.225460	−	0.192561i
$262$	−4.14167	−	25.1790i	−0.255873	−	1.55556i
$263$	3.07309	−	0.241858i	0.189495	−	0.0149136i	0.0166436	−	0.999861i	$-0.494702\pi$
$263$	3.07309	−	0.241858i	0.189495	−	0.0149136i	0.172851	+	0.984948i	$0.444702\pi$
$264$	11.2714	−	23.1329i	0.693704	−	1.42373i
$265$	3.31243	−	5.40539i	0.203481	−	0.332051i
$266$	0.289712	−	0.403785i	0.0177634	−	0.0247577i
$267$	−2.44298	+	15.4244i	−0.149508	+	0.943956i
$268$	5.91137	−	0.536081i	0.361094	−	0.0327464i
$269$	−6.31171	+	8.68732i	−0.384832	+	0.529675i	−0.956857	−	0.290561i	$-0.906158\pi$
$269$	−6.31171	+	8.68732i	−0.384832	+	0.529675i	0.572025	+	0.820236i	$0.306158\pi$
$270$	−2.17036	+	5.32917i	−0.132084	+	0.324323i
$271$	−17.6160	+	12.7988i	−1.07010	+	0.777471i	−0.975930	−	0.218085i	$-0.930019\pi$
$271$	−17.6160	+	12.7988i	−1.07010	+	0.777471i	−0.0941673	+	0.995556i	$0.530019\pi$
$272$	−28.5721	+	12.6397i	−1.73244	+	0.766392i
$273$	−1.60073	−	3.86450i	−0.0968805	−	0.233890i
$274$	−0.326607	+	0.0276607i	−0.0197311	+	0.00167105i
$275$	4.56140	+	0.358990i	0.275063	+	0.0216479i
$276$	−23.8229	−	1.58993i	−1.43397	−	0.0957024i
$277$	−15.5155	−	5.04129i	−0.932236	−	0.302902i	−0.196760	−	0.980452i	$-0.563042\pi$
$277$	−15.5155	−	5.04129i	−0.932236	−	0.302902i	−0.735477	+	0.677550i	$0.763042\pi$
$278$	5.75418	+	17.3575i	0.345113	+	1.04103i
$279$	−5.60799	+	2.85741i	−0.335741	+	0.171069i
$280$	−1.78574	−	4.10249i	−0.106719	−	0.245171i
$281$	−1.94761	+	8.11238i	−0.116185	+	0.483944i	0.883689	+	0.468074i	$0.155052\pi$
$281$	−1.94761	+	8.11238i	−0.116185	+	0.483944i	−0.999874	+	0.0158701i	$0.994948\pi$
$282$	−1.31856	−	1.79231i	−0.0785189	−	0.106731i
$283$	−19.3492	+	6.28692i	−1.15019	+	0.373719i	−0.821214	−	0.570620i	$-0.806703\pi$
$283$	−19.3492	+	6.28692i	−1.15019	+	0.373719i	−0.328974	+	0.944339i	$0.606703\pi$
$284$	2.02816	+	8.02593i	0.120349	+	0.476251i
$285$	0.0690984	+	0.436270i	0.00409303	+	0.0258424i
$286$	7.69019	+	3.86089i	0.454731	+	0.228299i
$287$	−9.77770	+	2.64493i	−0.577159	+	0.156125i
$288$	3.69972	−	3.92666i	0.218008	−	0.231381i
$289$	−43.4660	+	6.88434i	−2.55682	+	0.404961i
$290$	4.64506	+	5.37359i	0.272767	+	0.315548i
$291$	2.56131	+	7.88291i	0.150147	+	0.462104i
$292$	−23.6068	+	4.02745i	−1.38148	+	0.235689i
$293$	11.0714	+	2.65801i	0.646798	+	0.155282i	0.543555	−	0.839374i	$-0.317078\pi$
$293$	11.0714	+	2.65801i	0.646798	+	0.155282i	0.103243	+	0.994656i	$0.467078\pi$
$294$	−2.87923	+	12.3152i	−0.167920	+	0.718236i
$295$	−2.86679	−	5.62639i	−0.166911	−	0.327581i
$296$	3.47980	−	4.97386i	0.202259	−	0.289100i
$297$	5.75293	−	17.7057i	0.333819	−	1.02739i
$298$	−2.90876	−	6.90587i	−0.168500	−	0.400046i
$299$	0.626420	−	7.95942i	0.0362268	−	0.460305i
$300$	3.69193	+	1.47803i	0.213153	+	0.0853339i
$301$	−14.7322	+	6.10230i	−0.849153	+	0.351730i
$302$	−2.59704	−	10.5408i	−0.149443	−	0.606554i
$303$	17.6023	+	24.2275i	1.01123	+	1.39183i
$304$	−0.186814	+	0.868712i	−0.0107145	+	0.0498240i
$305$	0.606449	+	0.440611i	0.0347252	+	0.0252293i
$306$	8.94953	−	5.55779i	0.511610	−	0.317718i
$307$	14.9376	+	2.36589i	0.852536	+	0.135028i	0.567384	−	0.823454i	$-0.307956\pi$
$307$	14.9376	+	2.36589i	0.852536	+	0.135028i	0.285153	+	0.958482i	$0.407956\pi$
$308$	6.72497	+	12.8191i	0.383191	+	0.730436i
$309$	−10.9859	−	6.73218i	−0.624967	−	0.382980i
$310$	−4.28649	−	8.29039i	−0.243456	−	0.470863i
$311$	−1.77926	−	22.6077i	−0.100893	−	1.28196i	−0.813982	−	0.580890i	$-0.802705\pi$
$311$	−1.77926	−	22.6077i	−0.100893	−	1.28196i	0.713089	−	0.701073i	$-0.247295\pi$
$312$	5.38200	+	5.19322i	0.304695	+	0.294008i
$313$	−15.3885	−	18.0176i	−0.869807	−	1.01841i	−0.999639	−	0.0268772i	$-0.991444\pi$
$313$	−15.3885	−	18.0176i	−0.869807	−	1.01841i	0.129832	−	0.991536i	$-0.458556\pi$
$314$	−2.35989	+	32.4526i	−0.133176	+	1.83141i
$315$	0.788289	+	1.28637i	0.0444151	+	0.0724788i
$316$	2.66745	+	4.23884i	0.150056	+	0.238453i
$317$	−17.7044	+	20.7292i	−0.994380	+	1.16427i	−0.00797001	+	0.999968i	$0.502537\pi$
$317$	−17.7044	+	20.7292i	−0.994380	+	1.16427i	−0.986410	+	0.164301i	$0.947463\pi$
$318$	−12.5304	+	12.6804i	−0.702670	+	0.711082i
$319$	−16.2498	−	16.2498i	−0.909815	−	0.909815i
$320$	5.85514	+	5.45136i	0.327312	+	0.304740i
$321$	−7.41961	−	30.9049i	−0.414122	−	1.72494i
$322$	8.66208	−	10.2650i	0.482719	−	0.572048i
$323$	−0.787720	+	1.54599i	−0.0438299	+	0.0860211i
$324$	12.6626	−	17.8720i	0.703477	−	0.992887i
$325$	−0.508903	+	1.22860i	−0.0282289	+	0.0681505i
$326$	0.655789	+	0.208773i	0.0363208	+	0.0115629i
$327$	23.9708			1.32559
$328$	14.1422	−	11.3136i	0.780874	−	0.624688i
$329$	1.25172			0.0690096
$330$	−12.2601	−	3.90306i	−0.674897	−	0.214856i
$331$	−4.49298	+	10.8470i	−0.246957	+	0.596206i	−0.997943	−	0.0641121i	$-0.979578\pi$
$331$	−4.49298	+	10.8470i	−0.246957	+	0.596206i	0.750986	+	0.660318i	$0.229578\pi$
$332$	10.5382	−	14.8737i	0.578361	−	0.816298i
$333$	−0.929247	+	1.82375i	−0.0509224	+	0.0999408i
$334$	14.0184	−	16.6126i	0.767053	−	0.908999i
$335$	−0.692823	−	2.88581i	−0.0378529	−	0.157669i
$336$	2.26338	+	12.3765i	0.123478	+	0.675195i
$337$	9.27236	+	9.27236i	0.505098	+	0.505098i	0.913018	−	0.407920i	$-0.133746\pi$
$337$	9.27236	+	9.27236i	0.505098	+	0.505098i	−0.407920	+	0.913018i	$0.633746\pi$
$338$	11.1645	−	11.2982i	0.607271	−	0.614540i
$339$	−18.1463	+	21.2466i	−0.985572	+	1.15396i
$340$	8.32012	+	13.2215i	0.451222	+	0.717034i
$341$	15.7772	+	25.7460i	0.854382	+	1.39423i
$342$	0.0217303	−	0.298829i	0.00117504	−	0.0161588i
$343$	−11.8122	−	13.8303i	−0.637799	−	0.746766i
$344$	19.7976	−	20.5172i	1.06741	−	1.10622i
$345$	0.936641	+	11.9011i	0.0504270	+	0.640736i
$346$	−2.56339	−	4.95780i	−0.137809	−	0.266533i
$347$	19.2155	+	11.7753i	1.03154	+	0.632129i	0.931833	−	0.362888i	$-0.118209\pi$
$347$	19.2155	+	11.7753i	1.03154	+	0.632129i	0.0997079	+	0.995017i	$0.468209\pi$
$348$	−9.27896	−	17.6875i	−0.497405	−	0.948149i
$349$	23.3331	+	3.69560i	1.24899	+	0.197821i	0.745692	−	0.666291i	$-0.232119\pi$
$349$	23.3331	+	3.69560i	1.24899	+	0.197821i	0.503300	+	0.864112i	$0.332119\pi$
$350$	−1.90049	+	1.18023i	−0.101586	+	0.0630862i
$351$	4.37745	+	3.18040i	0.233651	+	0.169757i
$352$	−20.1728	−	16.2168i	−1.07522	−	0.864358i
$353$	−8.21314	−	11.3044i	−0.437141	−	0.601674i	0.532432	−	0.846473i	$-0.321278\pi$
$353$	−8.21314	−	11.3044i	−0.437141	−	0.601674i	−0.969574	+	0.244799i	$0.921278\pi$
$354$	4.24791	+	17.2413i	0.225774	+	0.916364i
$355$	3.82404	−	1.58397i	0.202959	−	0.0840684i
$356$	14.5826	+	5.83800i	0.772875	+	0.309413i
$357$	−1.92761	+	24.4926i	−0.102020	+	1.29628i
$358$	3.65393	+	8.67502i	0.193116	+	0.458489i
$359$	5.92658	−	18.2401i	0.312793	−	0.962678i	−0.663860	−	0.747857i	$-0.731083\pi$
$359$	5.92658	−	18.2401i	0.312793	−	0.962678i	0.976653	−	0.214822i	$-0.0689170\pi$
$360$	−2.21030	−	1.54636i	−0.116493	−	0.0815005i
$361$	−8.60342	−	16.8852i	−0.452811	−	0.888692i
$362$	7.06227	−	30.2071i	0.371184	−	1.58765i
$363$	19.2093	+	4.61175i	1.00823	+	0.242054i
$364$	−4.14739	+	0.707569i	−0.217382	+	0.0370867i
$365$	3.70015	+	11.3879i	0.193675	+	0.596070i
$366$	−1.37850	−	1.59470i	−0.0720553	−	0.0833565i
$367$	36.1624	−	5.72756i	1.88766	−	0.298976i	0.897734	−	0.440539i	$-0.145213\pi$
$367$	36.1624	−	5.72756i	1.88766	−	0.298976i	0.989929	+	0.141562i	$0.0452125\pi$
$368$	−6.87551	+	23.0100i	−0.358411	+	1.19948i
$369$	−4.19306	+	4.43972i	−0.218282	+	0.231122i
$370$	−2.71248	−	1.36181i	−0.141015	−	0.0707971i
$371$	−1.56882	−	9.90515i	−0.0814492	−	0.514250i
$372$	6.42988	+	25.4447i	0.333374	+	1.31924i
$373$	0.0540662	−	0.0175672i	0.00279944	−	0.000909593i	−0.307617	−	0.951510i	$-0.599532\pi$
$373$	0.0540662	−	0.0175672i	0.00279944	−	0.000909593i	0.310416	+	0.950601i	$0.399532\pi$
$374$	−29.9502	−	40.7113i	−1.54869	−	2.10513i
$375$	0.464182	−	1.93346i	0.0239702	−	0.0998433i
$376$	−2.05209	+	0.893238i	−0.105828	+	0.0460652i
$377$	5.95115	−	3.03226i	0.306500	−	0.156169i
$378$	2.86430	+	8.64015i	0.147324	+	0.444401i
$379$	35.5669	+	11.5564i	1.82695	+	0.593612i	0.999485	+	0.0320970i	$0.0102186\pi$
$379$	35.5669	+	11.5564i	1.82695	+	0.593612i	0.827466	+	0.561515i	$0.189781\pi$
$380$	0.443300	+	0.0295856i	0.0227408	+	0.00151771i
$381$	−21.6095	−	1.70070i	−1.10709	−	0.0871296i
$382$	10.5124	−	0.890310i	0.537864	−	0.0455522i
$383$	6.77497	+	16.3562i	0.346185	+	0.835765i	0.997063	+	0.0765824i	$0.0244008\pi$
$383$	6.77497	+	16.3562i	0.346185	+	0.835765i	−0.650878	+	0.759182i	$0.725599\pi$
$384$	−12.5426	−	18.6751i	−0.640063	−	0.953009i
$385$	5.85566	−	4.25439i	0.298432	−	0.216824i
$386$	−9.36293	+	22.9900i	−0.476561	+	1.17016i
$387$	−5.65084	+	7.77772i	−0.287249	+	0.395364i
$388$	8.30288	−	0.752958i	0.421515	−	0.0382256i
$389$	−4.59733	+	29.0264i	−0.233094	+	1.47170i	0.542282	+	0.840197i	$0.317561\pi$
$389$	−4.59733	+	29.0264i	−0.233094	+	1.47170i	−0.775376	+	0.631500i	$0.782439\pi$
$390$	2.17998	−	3.03834i	0.110388	−	0.153852i
$391$	−24.5022	+	39.9839i	−1.23913	+	2.02207i
$392$	11.4358	+	5.57204i	0.577597	+	0.281430i
$393$	35.7670	−	2.81493i	1.80421	−	0.141994i
$394$	0.689806	+	4.19363i	0.0347519	+	0.211272i
$395$	1.90417	−	1.62631i	0.0958092	−	0.0818288i
$396$	7.49514	+	4.47124i	0.376645	+	0.224688i
$397$	24.7115	−	15.1432i	1.24023	−	0.760016i	0.261511	−	0.965201i	$-0.415779\pi$
$397$	24.7115	−	15.1432i	1.24023	−	0.760016i	0.978723	+	0.205184i	$0.0657794\pi$
$398$	28.6846	+	17.3441i	1.43783	+	0.869379i
$399$	0.531325	+	0.453795i	0.0265995	+	0.0227182i
$400$	2.27347	−	3.29110i	0.113673	−	0.164555i
$401$	−0.550242	+	0.550242i	−0.0274778	+	0.0274778i	−0.720712	−	0.693234i	$-0.756185\pi$
$401$	−0.550242	+	0.550242i	−0.0274778	+	0.0274778i	0.693234	+	0.720712i	$0.256185\pi$
$402$	0.0496523	+	8.34540i	0.00247643	+	0.416231i
$403$	−8.53360	+	2.04874i	−0.425089	+	0.102055i
$404$	27.6896	−	11.8573i	1.37761	−	0.589925i
$405$	−9.75793	−	4.97191i	−0.484875	−	0.247056i
$406$	11.1081	+	1.69167i	0.551286	+	0.0839561i
$407$	9.07231	+	3.75787i	0.449698	+	0.186271i
$408$	−14.3180	−	41.5290i	−0.708844	−	2.05599i
$409$		−	30.3998i		−	1.50317i	−0.659634	−	0.751587i	$-0.729289\pi$
$409$		−	30.3998i		−	1.50317i	0.659634	−	0.751587i	$-0.270711\pi$
$410$	−6.62027	−	6.17836i	−0.326952	−	0.305127i
$411$		−	0.460857i		−	0.0227324i
$412$	−9.05426	+	9.27234i	−0.446071	+	0.456815i
$413$	−9.22877	−	3.82268i	−0.454118	−	0.188102i
$414$	1.21915	−	8.00541i	0.0599182	−	0.393445i
$415$	−8.12088	−	4.13779i	−0.398638	−	0.203116i
$416$	6.29436	−	4.11961i	0.308606	−	0.201981i
$417$	−25.0005	+	6.00208i	−1.22428	+	0.293923i
$418$	−1.43740	+	0.00855207i	−0.0703057	+	0.000418295i
$419$	−13.5639	+	13.5639i	−0.662642	+	0.662642i	−0.956002	−	0.293360i	$-0.905226\pi$
$419$	−13.5639	+	13.5639i	−0.662642	+	0.662642i	0.293360	+	0.956002i	$0.405226\pi$
$420$	5.95944	−	2.01505i	0.290791	−	0.0983243i
$421$	−27.3264	−	23.3390i	−1.33181	−	1.13747i	−0.979468	−	0.201601i	$-0.935386\pi$
$421$	−27.3264	−	23.3390i	−1.33181	−	1.13747i	−0.352341	−	0.935872i	$-0.614614\pi$
$422$	0.556747	−	0.920780i	0.0271020	−	0.0448229i
$423$	0.643449	−	0.394306i	0.0312856	−	0.0191718i
$424$	9.64035	+	15.1191i	0.468177	+	0.734249i
$425$	5.93934	−	5.07268i	0.288100	−	0.246061i
$426$	−11.4849	+	1.88914i	−0.556446	+	0.0915293i
$427$	1.18216	−	0.0930379i	0.0572087	−	0.00450242i
$428$	−31.9663	+	0.380391i	−1.54515	+	0.0183869i
$429$	−6.32153	+	10.3158i	−0.305206	+	0.498052i
$430$	−11.5828	−	8.31053i	−0.558570	−	0.400769i
$431$	2.57675	−	16.2690i	0.124118	−	0.783649i	−0.844584	−	0.535423i	$-0.820152\pi$
$431$	2.57675	−	16.2690i	0.124118	−	0.783649i	0.968702	−	0.248226i	$-0.0798477\pi$
$432$	−10.8614	−	12.1208i	−0.522571	−	0.583161i
$433$	−9.10740	+	12.5353i	−0.437674	+	0.602406i	−0.969693	−	0.244326i	$-0.921433\pi$
$433$	−9.10740	+	12.5353i	−0.437674	+	0.602406i	0.532019	+	0.846732i	$0.321433\pi$
$434$	−13.6734	−	5.56864i	−0.656345	−	0.267303i
$435$	−8.07951	+	5.87011i	−0.387383	+	0.281450i
$436$	5.34917	−	23.5098i	0.256179	−	1.12592i
$437$	0.510386	+	1.23218i	0.0244151	+	0.0589432i
$438$	−2.84145	−	33.5508i	−0.135770	−	1.60312i
$439$	−35.4688	−	2.79145i	−1.69283	−	0.133229i	−0.804962	−	0.593326i	$-0.797815\pi$
$439$	−35.4688	−	2.79145i	−1.69283	−	0.133229i	−0.887869	+	0.460097i	$0.847815\pi$
$440$	−6.56389	+	11.1534i	−0.312921	+	0.531715i
$441$	−4.07949	−	1.32551i	−0.194262	−	0.0631194i
$442$	13.9432	−	4.62230i	0.663209	−	0.219861i
$443$	−6.99918	+	3.56626i	−0.332541	+	0.169438i	−0.612286	−	0.790636i	$-0.709750\pi$
$443$	−6.99918	+	3.56626i	−0.332541	+	0.169438i	0.279745	+	0.960074i	$0.409750\pi$
$444$	6.55546	+	5.46533i	0.311108	+	0.259373i
$445$	1.83345	−	7.63688i	0.0869140	−	0.362023i
$446$	11.7045	−	8.61071i	0.554226	−	0.407729i
$447$	10.0202	−	3.25576i	0.473939	−	0.153992i
$448$	12.6436	+	0.542012i	0.597354	+	0.0256077i
$449$	−1.49248	−	9.42314i	−0.0704344	−	0.444705i	−0.997552	−	0.0699339i	$-0.977721\pi$
$449$	−1.49248	−	9.42314i	−0.0704344	−	0.444705i	0.927117	−	0.374772i	$-0.122279\pi$
$450$	−0.605165	+	1.20538i	−0.0285277	+	0.0568221i
$451$	22.8123	+	18.3832i	1.07419	+	0.865630i
$452$	16.7886	+	22.5386i	0.789669	+	1.06013i
$453$	15.0757	−	2.38776i	0.708319	−	0.112187i
$454$	7.78453	−	6.72912i	0.365346	−	0.315813i
$455$	0.650066	+	2.00070i	0.0304756	+	0.0937942i
$456$	−1.19489	−	0.364799i	−0.0559560	−	0.0170833i
$457$	−26.3023	−	6.31463i	−1.23037	−	0.295386i	−0.434399	−	0.900720i	$-0.643039\pi$
$457$	−26.3023	−	6.31463i	−1.23037	−	0.295386i	−0.795971	+	0.605335i	$0.793039\pi$
$458$	−24.8064	−	5.79961i	−1.15913	−	0.270998i
$459$	−14.4280	−	28.3166i	−0.673444	−	1.32171i
$460$	11.8813	+	1.73715i	0.553968	+	0.0809952i
$461$	−8.97677	+	27.6277i	−0.418090	+	1.28675i	0.491368	+	0.870952i	$0.336497\pi$
$461$	−8.97677	+	27.6277i	−0.418090	+	1.28675i	−0.909458	+	0.415796i	$0.863503\pi$
$462$	−18.7574	+	7.90064i	−0.872673	+	0.367571i
$463$	0.202152	−	2.56859i	0.00939482	−	0.119372i	−0.990432	−	0.138005i	$-0.955931\pi$
$463$	0.202152	−	2.56859i	0.00939482	−	0.119372i	0.999826	+	0.0186321i	$0.00593113\pi$
$464$	−19.4180	+	5.15350i	−0.901457	+	0.239245i
$465$	12.1234	−	5.02167i	0.562208	−	0.232874i
$466$	−28.8479	+	7.10756i	−1.33635	+	0.329251i
$467$	−11.8997	−	16.3785i	−0.550652	−	0.757907i	0.439449	−	0.898268i	$-0.355174\pi$
$467$	−11.8997	−	16.3785i	−0.550652	−	0.757907i	−0.990100	+	0.140361i	$0.955174\pi$
$468$	−1.90908	+	1.67020i	−0.0882473	+	0.0772051i
$469$	−3.79817	−	2.75953i	−0.175383	−	0.127423i
$470$	0.590359	+	0.950637i	0.0272312	+	0.0438496i
$471$	−45.1858	−	7.15673i	−2.08205	−	0.329765i
$472$	17.8577	−	0.318771i	0.821965	−	0.0146726i
$473$	39.3259	+	24.0989i	1.80821	+	1.10807i
$474$	−6.25508	+	3.23414i	−0.287305	+	0.148549i
$475$	−0.0174291	−	0.221458i	−0.000799703	−	0.0101612i
$476$	23.5914	+	7.35614i	1.08131	+	0.337168i
$477$	−3.92669	−	4.59756i	−0.179791	−	0.210508i
$478$	0.558553	+	0.0406169i	0.0255476	+	0.00185777i
$479$	6.32865	+	10.3274i	0.289163	+	0.471872i	0.963929	−	0.266161i	$-0.0857551\pi$
$479$	6.32865	+	10.3274i	0.289163	+	0.471872i	−0.674765	+	0.738032i	$0.735755\pi$
$480$	−8.33204	+	7.55620i	−0.380304	+	0.344892i
$481$	−1.85355	+	2.17022i	−0.0845144	+	0.0989537i
$482$	26.2027	+	25.8928i	1.19350	+	1.17938i
$483$	13.3535	+	13.3535i	0.607604	+	0.607604i
$484$	8.80969	−	17.8108i	0.400441	−	0.809581i
$485$	−0.973111	−	4.05330i	−0.0441867	−	0.184051i
$486$	10.3431	+	8.72792i	0.469171	+	0.395906i
$487$	2.03805	−	3.99989i	0.0923527	−	0.181252i	−0.840209	−	0.542262i	$-0.817568\pi$
$487$	2.03805	−	3.99989i	0.0923527	−	0.181252i	0.932562	+	0.361010i	$0.117568\pi$
$488$	−1.87165	+	0.996126i	−0.0847258	+	0.0450925i
$489$	−0.370300	+	0.893984i	−0.0167456	+	0.0404274i
$490$	1.92949	−	6.06083i	0.0871655	−	0.273800i
$491$	16.0176			0.722865			0.361433	−	0.932398i	$-0.382288\pi$
$491$	16.0176			0.722865			0.361433	+	0.932398i	$0.382288\pi$
$492$	14.1723	+	21.1555i	0.638934	+	0.953766i
$493$	−39.2299			−1.76683
$494$	0.126734	−	0.398089i	0.00570201	−	0.0179109i
$495$	1.66993	−	4.03158i	0.0750579	−	0.181206i
$496$	26.3902	−	0.628162i	1.18495	−	0.0282053i
$497$	2.97258	−	5.83402i	0.133338	−	0.261692i
$498$	19.5875	+	16.5288i	0.877737	+	0.740672i
$499$	3.53113	+	14.7082i	0.158075	+	0.658430i	0.993981	+	0.109557i	$0.0349431\pi$
$499$	3.53113	+	14.7082i	0.158075	+	0.658430i	−0.835905	+	0.548874i	$0.815057\pi$
$500$	−1.79269	−	0.886713i	−0.0801716	−	0.0396550i
$501$	21.6108	+	21.6108i	0.965499	+	0.965499i
$502$	−19.5009	−	19.2703i	−0.870370	−	0.860074i
$503$	−2.08551	+	2.44182i	−0.0929882	+	0.108875i	−0.804949	−	0.593344i	$-0.797807\pi$
$503$	−2.08551	+	2.44182i	−0.0929882	+	0.108875i	0.711961	+	0.702219i	$0.247807\pi$
$504$	−4.24742	+	0.410675i	−0.189195	+	0.0182929i
$505$	−7.86924	−	12.8414i	−0.350177	−	0.571436i
$506$	−38.7468	−	2.81759i	−1.72250	−	0.125257i
$507$	14.5040	+	16.9820i	0.644145	+	0.754196i
$508$	−6.49022	+	20.8144i	−0.287957	+	0.923488i
$509$	0.463501	+	5.88933i	0.0205443	+	0.261040i	0.998608	+	0.0527363i	$0.0167943\pi$
$509$	0.463501	+	5.88933i	0.0205443	+	0.261040i	−0.978064	+	0.208304i	$0.933206\pi$
$510$	−19.5104	+	10.0877i	−0.863933	+	0.446690i
$511$	16.1504	+	9.89696i	0.714450	+	0.437816i
$512$	−21.1149	+	8.13400i	−0.933155	+	0.359475i
$513$	−0.892731	−	0.141395i	−0.0394150	−	0.00624273i
$514$	−11.9954	−	19.3159i	−0.529097	−	0.851987i
$515$	5.24234	+	3.80878i	0.231005	+	0.167835i
$516$	26.3955	+	30.1707i	1.16200	+	1.32819i
$517$	−2.12807	−	2.92903i	−0.0935923	−	0.128819i
$518$	−4.66188	+	1.14860i	−0.204831	+	0.0504664i
$519$	7.25000	−	3.00305i	0.318240	−	0.131819i
$520$	−2.49344	−	2.81608i	−0.109345	−	0.123493i
$521$	1.60778	−	20.4288i	0.0704382	−	0.895003i	−0.855616	−	0.517612i	$-0.826821\pi$
$521$	1.60778	−	20.4288i	0.0704382	−	0.895003i	0.926054	−	0.377391i	$-0.123179\pi$
$522$	6.24304	−	2.62958i	0.273250	−	0.115093i
$523$	6.98482	−	21.4971i	0.305425	−	0.940001i	−0.674093	−	0.738646i	$-0.735466\pi$
$523$	6.98482	−	21.4971i	0.305425	−	0.940001i	0.979518	−	0.201355i	$-0.0645345\pi$
$524$	5.22074	−	35.7074i	0.228069	−	1.55988i
$525$	−1.42800	−	2.80262i	−0.0623232	−	0.122316i
$526$	4.24498	+	0.992455i	0.185090	+	0.0432731i
$527$	50.1221	+	12.0333i	2.18336	+	0.524177i
$528$	25.1132	−	26.3378i	1.09291	−	1.14621i
$529$	4.03135	+	12.4072i	0.175276	+	0.539444i
$530$	6.78269	−	5.86311i	0.294621	−	0.254677i
$531$	−5.94825	+	0.942111i	−0.258132	+	0.0408841i
$532$	0.563635	−	0.419842i	0.0244367	−	0.0182024i
$533$	−7.13025	+	4.65465i	−0.308845	+	0.201615i
$534$	−9.90924	+	19.7374i	−0.428815	+	0.854121i
$535$	2.50049	+	15.7875i	0.108106	+	0.682553i
$536$	8.19599	+	1.81361i	0.354013	+	0.0783359i
$537$	−12.5872	+	4.08982i	−0.543177	+	0.176489i
$538$	−12.2324	+	8.99904i	−0.527377	+	0.387976i
$539$	−4.80401	+	20.0101i	−0.206923	+	0.861897i
$540$	−5.21097	+	6.25035i	−0.224244	+	0.268972i
$541$	−13.6904	+	6.97559i	−0.588595	+	0.299904i	−0.722808	−	0.691048i	$-0.757149\pi$
$541$	−13.6904	+	6.97559i	−0.588595	+	0.299904i	0.134214	+	0.990952i	$0.457149\pi$
$542$	−29.2296	+	9.68992i	−1.25552	+	0.416218i
$543$	41.4819	+	13.4783i	1.78016	+	0.578409i
$544$	−43.9255	+	4.77527i	−1.88329	+	0.204738i
$545$	−12.0182	−	0.945852i	−0.514802	−	0.0405158i
$546$	−0.499205	−	5.89442i	−0.0213640	−	0.252258i
$547$	12.6791	+	30.6102i	0.542121	+	1.30880i	0.923224	+	0.384263i	$0.125545\pi$
$547$	12.6791	+	30.6102i	0.542121	+	1.30880i	−0.381102	+	0.924533i	$0.624455\pi$
$548$	−0.451994	−	0.102842i	−0.0193082	−	0.00439318i
$549$	0.578383	−	0.420220i	0.0246848	−	0.0179345i
$550$	5.99281	+	2.44063i	0.255534	+	0.104069i
$551$	−0.655806	+	0.902640i	−0.0279383	+	0.0384538i
$552$	−31.4210	−	12.3627i	−1.33737	−	0.526192i
$553$	0.619687	−	3.91255i	0.0263518	−	0.166379i
$554$	−18.7455	−	13.4498i	−0.796422	−	0.571426i
$555$	2.22973	−	3.63858i	0.0946466	−	0.154449i
$556$	0.307716	+	25.8591i	0.0130501	+	1.09667i
$557$	−10.5543	+	0.830643i	−0.447201	+	0.0351955i	−0.300061	−	0.953920i	$-0.597007\pi$
$557$	−10.5543	+	0.830643i	−0.447201	+	0.0351955i	−0.147140	+	0.989116i	$0.547007\pi$
$558$	−8.78302	+	1.44471i	−0.371815	+	0.0611595i
$559$	−10.1933	+	8.70590i	−0.431131	+	0.368220i
$560$	−0.646426	−	6.29450i	−0.0273165	−	0.265991i
$561$	60.5899	−	37.1295i	2.55811	−	1.56761i
$562$	−6.10481	+	10.0965i	−0.257516	+	0.425895i
$563$	−17.0787	−	14.5866i	−0.719783	−	0.614752i	0.212212	−	0.977224i	$-0.431933\pi$
$563$	−17.0787	−	14.5866i	−0.719783	−	0.614752i	−0.931995	+	0.362471i	$0.881933\pi$
$564$	−1.00794	−	2.98094i	−0.0424418	−	0.125520i
$565$	9.93633	−	9.93633i	0.418024	−	0.418024i
$566$	−28.7715	+	0.171181i	−1.20936	+	0.00719528i
$567$	−16.8457	+	4.04428i	−0.707451	+	0.169844i
$568$	−0.710085	+	11.6856i	−0.0297945	+	0.490318i
$569$	17.0485	+	8.68665i	0.714710	+	0.364163i	0.773232	−	0.634123i	$-0.218639\pi$
$569$	17.0485	+	8.68665i	0.714710	+	0.364163i	−0.0585218	+	0.998286i	$0.518639\pi$
$570$	−0.0940474	+	0.617549i	−0.00393921	+	0.0258663i
$571$	2.20177	+	0.912004i	0.0921413	+	0.0381662i	0.428278	−	0.903647i	$-0.359120\pi$
$571$	2.20177	+	0.912004i	0.0921413	+	0.0381662i	−0.336137	+	0.941813i	$0.609120\pi$
$572$	8.70675	+	8.50197i	0.364048	+	0.355485i
$573$			14.8335i			0.619678i
$574$	−14.3109	−	0.630450i	−0.597324	−	0.0263145i
$575$		−	6.00381i		−	0.250376i
$576$	6.67021	−	3.70426i	0.277925	−	0.154344i
$577$	10.8973	+	4.51382i	0.453661	+	0.187913i	0.597801	−	0.801645i	$-0.296041\pi$
$577$	10.8973	+	4.51382i	0.453661	+	0.187913i	−0.144139	+	0.989557i	$0.546041\pi$
$578$	−61.5270	−	9.37003i	−2.55919	−	0.389742i
$579$	−31.0980	−	15.8452i	−1.29239	−	0.658504i
$580$	3.95425	+	9.23407i	0.164191	+	0.383424i
$581$	−14.0195	+	3.36579i	−0.581628	+	0.139637i
$582$	0.0697397	+	11.7216i	0.00289080	+	0.485876i
$583$	−20.5109	+	20.5109i	−0.849476	+	0.849476i
$584$	−33.5397	−	4.70017i	−1.38788	−	0.194494i
$585$	0.964410	+	0.823684i	0.0398734	+	0.0340551i
$586$	13.7792	+	8.33155i	0.569214	+	0.344173i
$587$	12.9091	−	7.91073i	0.532817	−	0.326511i	−0.229930	−	0.973207i	$-0.573850\pi$
$587$	12.9091	−	7.91073i	0.532817	−	0.326511i	0.762748	+	0.646696i	$0.223850\pi$
$588$	−9.16327	+	15.3604i	−0.377887	+	0.633453i
$589$	1.11477	−	0.952100i	0.0459331	−	0.0392306i
$590$	−1.44945	−	8.81184i	−0.0596730	−	0.362778i
$591$	−5.95709	+	0.468833i	−0.245042	+	0.0192852i
$592$	6.82310	−	5.20978i	0.280428	−	0.214121i
$593$	−11.1266	+	18.1569i	−0.456913	+	0.745615i	−0.995275	−	0.0970992i	$-0.969044\pi$
$593$	−11.1266	+	18.1569i	−0.456913	+	0.745615i	0.538361	+	0.842714i	$0.319044\pi$
$594$	15.3484	−	21.3917i	0.629751	−	0.877712i
$595$	1.93288	−	12.2037i	0.0792403	−	0.500304i
$596$	−0.957108	−	10.5540i	−0.0392047	−	0.432310i
$597$	−27.7024	+	38.1291i	−1.13378	+	1.56052i
$598$	4.25879	−	10.4572i	0.174155	−	0.427625i
$599$	−4.52191	+	3.28536i	−0.184760	+	0.134236i	−0.676321	−	0.736607i	$-0.736427\pi$
$599$	−4.52191	+	3.28536i	−0.184760	+	0.134236i	0.491561	+	0.870843i	$0.336427\pi$
$600$	4.34106	+	3.57561i	0.177223	+	0.145974i
$601$	−6.06924	−	14.6524i	−0.247569	−	0.597685i	0.750427	−	0.660953i	$-0.229848\pi$
$601$	−6.06924	−	14.6524i	−0.247569	−	0.597685i	−0.997997	+	0.0632677i	$0.979848\pi$
$602$	−22.4707	+	1.90307i	−0.915837	+	0.0775632i
$603$	−2.82174	−	0.222076i	−0.114910	−	0.00904362i
$604$	1.02236	−	15.3186i	0.0415991	−	0.623307i
$605$	−9.44896	−	3.07015i	−0.384155	−	0.124820i
$606$	13.3266	+	40.1998i	0.541358	+	1.63301i
$607$	−1.91027	+	0.973333i	−0.0775356	+	0.0395064i	−0.492328	−	0.870410i	$-0.663854\pi$
$607$	−1.91027	+	0.973333i	−0.0775356	+	0.0395064i	0.414793	+	0.909916i	$0.363854\pi$
$608$	−0.624428	+	1.09051i	−0.0253239	+	0.0442260i
$609$	−3.68801	+	15.3617i	−0.149446	+	0.622486i
$610$	0.628210	+	0.853926i	0.0254355	+	0.0345745i
$611$	1.00076	−	0.325166i	0.0404864	−	0.0131548i
$612$	14.4445	−	3.65012i	0.583883	−	0.147548i
$613$	−5.04617	−	31.8603i	−0.203813	−	1.28683i	−0.851272	−	0.524725i	$-0.824168\pi$
$613$	−5.04617	−	31.8603i	−0.203813	−	1.28683i	0.647459	−	0.762100i	$-0.275832\pi$
$614$	19.1146	+	9.59655i	0.771402	+	0.387285i
$615$	9.44134	−	8.54188i	0.380711	−	0.344442i
$616$	3.56293	+	20.1597i	0.143554	+	0.812259i
$617$	21.2840	−	3.37105i	0.856861	−	0.135714i	0.287480	−	0.957787i	$-0.407183\pi$
$617$	21.2840	−	3.37105i	0.856861	−	0.135714i	0.569382	+	0.822073i	$0.307183\pi$
$618$	−11.9162	−	13.7851i	−0.479339	−	0.554519i
$619$	0.233555	+	0.718808i	0.00938736	+	0.0288913i	0.955640	−	0.294536i	$-0.0951650\pi$
$619$	0.233555	+	0.718808i	0.00938736	+	0.0288913i	−0.946253	+	0.323427i	$0.895165\pi$
$620$	−2.21972	−	13.0108i	−0.0891463	−	0.522528i
$621$	−23.7534	−	5.70270i	−0.953193	−	0.228841i
$622$	7.30114	−	31.2288i	0.292749	−	1.25216i
$623$	−5.64041	−	11.0699i	−0.225978	−	0.443507i
$624$	5.02471	+	9.30715i	0.201149	+	0.372584i
$625$	−0.309017	+	0.951057i	−0.0123607	+	0.0380423i
$626$	−13.0074	−	30.8817i	−0.519881	−	1.23428i
$627$	0.158569	−	2.01481i	0.00633263	−	0.0804636i
$628$	−17.1025	+	42.7198i	−0.682463	+	1.70471i
$629$	15.4872	−	6.41499i	0.617513	−	0.255782i
$630$	0.510416	+	2.07166i	0.0203355	+	0.0825369i
$631$	6.64859	+	9.15100i	0.264676	+	0.364296i	0.920583	−	0.390546i	$-0.127714\pi$
$631$	6.64859	+	9.15100i	0.264676	+	0.364296i	−0.655907	+	0.754842i	$0.727714\pi$
$632$	1.77610	+	6.85650i	0.0706496	+	0.272737i
$633$	1.22395	+	0.889250i	0.0486476	+	0.0353445i
$634$	−32.7510	+	20.3388i	−1.30071	+	0.807759i
$635$	10.7672	+	1.70535i	0.427282	+	0.0676749i
$636$	−22.3256	+	11.7122i	−0.885268	+	0.464417i
$637$	−5.09965	−	3.12507i	−0.202056	−	0.123820i
$638$	−14.9265	−	28.8691i	−0.590947	−	1.14294i
$639$	−0.309721	−	3.93538i	−0.0122524	−	0.155681i
$640$	5.55157	+	9.85800i	0.219445	+	0.389672i
$641$	−11.3910	−	13.3372i	−0.449919	−	0.526788i	0.488371	−	0.872636i	$-0.337591\pi$
$641$	−11.3910	−	13.3372i	−0.449919	−	0.526788i	−0.938290	+	0.345848i	$0.887591\pi$
$642$	3.25993	−	44.8297i	0.128659	−	1.76929i
$643$	−13.9041	−	22.6894i	−0.548323	−	0.894782i	−0.999997	−	0.00259884i	$-0.999173\pi$
$643$	−13.9041	−	22.6894i	−0.548323	−	0.894782i	0.451673	−	0.892183i	$-0.350827\pi$
$644$	16.0766	−	10.1168i	0.633505	−	0.398658i
$645$	13.0173	−	15.2413i	0.512556	−	0.600126i
$646$	−1.72475	+	1.74539i	−0.0678593	+	0.0686716i
$647$	27.9755	+	27.9755i	1.09983	+	1.09983i	0.994430	+	0.105402i	$0.0336130\pi$
$647$	27.9755	+	27.9755i	1.09983	+	1.09983i	0.105402	+	0.994430i	$0.466387\pi$
$648$	24.7310	−	18.6514i	0.971523	−	0.732698i
$649$	6.74486	+	28.0944i	0.264759	+	1.10280i
$650$	−1.21286	+	1.43731i	−0.0475724	+	0.0563758i
$651$	9.42399	−	18.4956i	0.369355	−	0.724901i
$652$	0.794158	+	0.562675i	0.0311016	+	0.0220360i
$653$	−0.593405	+	1.43261i	−0.0232217	+	0.0560622i	−0.935065	−	0.354476i	$-0.884659\pi$
$653$	−0.593405	+	1.43261i	−0.0232217	+	0.0560622i	0.911843	+	0.410538i	$0.134659\pi$
$654$	32.3024	+	10.2836i	1.26312	+	0.402121i
$655$	−18.0435			−0.705018
$656$	23.9113	−	9.17877i	0.933579	−	0.358371i
$657$	11.4198			0.445528
$658$	1.68679	+	0.536996i	0.0657577	+	0.0209343i
$659$	−7.26630	+	17.5424i	−0.283055	+	0.683355i	−0.999904	−	0.0138739i	$-0.995584\pi$
$659$	−7.26630	+	17.5424i	−0.283055	+	0.683355i	0.716849	+	0.697228i	$0.245584\pi$
$660$	−14.8470	−	10.5193i	−0.577917	−	0.409464i
$661$	11.4001	−	22.3740i	0.443412	−	0.870246i	−0.555829	−	0.831297i	$-0.687599\pi$
$661$	11.4001	−	22.3740i	0.443412	−	0.870246i	0.999241	−	0.0389491i	$-0.0124010\pi$
$662$	−10.7081	+	12.6896i	−0.416180	+	0.493197i
$663$	4.82144	+	20.0827i	0.187249	+	0.779948i
$664$	20.5819	−	15.5224i	0.798734	−	0.602385i
$665$	−0.248483	−	0.248483i	−0.00963577	−	0.00963577i
$666$	−2.03463	+	2.05898i	−0.0788402	+	0.0797840i
$667$	−19.5837	+	22.9296i	−0.758285	+	0.887838i
$668$	26.0177	−	16.3727i	1.00666	−	0.633478i
$669$	10.6748	+	17.4197i	0.412711	+	0.673483i
$670$	0.304403	−	4.18607i	0.0117601	−	0.161722i
$671$	−2.22751	−	2.60808i	−0.0859922	−	0.100684i
$672$	−2.25954	+	17.6493i	−0.0871636	+	0.680836i
$673$	2.67855	+	34.0342i	0.103251	+	1.31192i	0.802331	+	0.596880i	$0.203593\pi$
$673$	2.67855	+	34.0342i	0.103251	+	1.31192i	−0.699080	+	0.715043i	$0.746407\pi$
$674$	8.51728	+	16.4731i	0.328074	+	0.634519i
$675$	3.46924	+	2.12595i	0.133531	+	0.0818279i
$676$	19.8920	−	10.4355i	0.765078	−	0.401364i
$677$	24.4571	+	3.87363i	0.939964	+	0.148876i	0.607571	−	0.794265i	$-0.292144\pi$
$677$	24.4571	+	3.87363i	0.939964	+	0.148876i	0.332393	+	0.943141i	$0.392144\pi$
$678$	−33.5684	+	20.8465i	−1.28919	+	0.800604i
$679$	−5.33475	−	3.87593i	−0.204729	−	0.148744i
$680$	5.53989	+	21.3863i	0.212445	+	0.820126i
$681$	8.50381	+	11.7045i	0.325867	+	0.448517i
$682$	10.2157	+	41.4632i	0.391180	+	1.58771i
$683$	−11.9693	+	4.95783i	−0.457991	+	0.189706i	−0.599737	−	0.800197i	$-0.704728\pi$
$683$	−11.9693	+	4.95783i	−0.457991	+	0.189706i	0.141746	+	0.989903i	$0.454728\pi$
$684$	0.157483	−	0.393372i	0.00602150	−	0.0150409i
$685$	−0.0181847	+	0.231059i	−0.000694802	+	0.00882830i
$686$	−9.98452	−	23.7049i	−0.381211	−	0.905056i
$687$	11.0685	−	34.0654i	0.422291	−	1.29968i
$688$	35.4807	−	19.1552i	1.35269	−	0.730285i
$689$	−3.82740	−	7.51170i	−0.145812	−	0.286173i
$690$	−3.84347	+	16.4395i	−0.146319	+	0.625841i
$691$	−24.9088	−	5.98008i	−0.947576	−	0.227493i	−0.269929	−	0.962880i	$-0.587000\pi$
$691$	−24.9088	−	5.98008i	−0.947576	−	0.227493i	−0.677647	+	0.735387i	$0.737000\pi$
$692$	−1.32743	−	7.78071i	−0.0504615	−	0.295778i
$693$	−2.13315	−	6.56516i	−0.0810317	−	0.249390i
$694$	20.8426	+	24.1116i	0.791174	+	0.915263i
$695$	12.7713	−	2.02277i	0.484441	−	0.0767279i
$696$	−4.91604	−	27.8159i	−0.186342	−	1.05436i
$697$	49.7266	−	5.34640i	1.88353	−	0.202509i
$698$	29.8576	+	14.9901i	1.13013	+	0.567385i
$699$	−6.53479	−	41.2591i	−0.247169	−	1.56056i
$700$	−3.06738	+	0.775129i	−0.115936	+	0.0292971i
$701$	20.5656	−	6.68216i	0.776751	−	0.252382i	0.106298	−	0.994334i	$-0.466100\pi$
$701$	20.5656	−	6.68216i	0.776751	−	0.252382i	0.670452	+	0.741953i	$0.266100\pi$
$702$	4.53452	+	6.16378i	0.171145	+	0.232637i
$703$	0.111296	−	0.463583i	0.00419763	−	0.0174844i
$704$	−20.2273	−	30.5076i	−0.762343	−	1.14980i
$705$	−1.40188	+	0.714295i	−0.0527979	+	0.0269019i
$706$	−6.21815	−	18.7570i	−0.234023	−	0.705930i
$707$	−22.6586	−	7.36224i	−0.852166	−	0.276885i
$708$	−1.67224	+	25.0563i	−0.0628467	+	0.941673i
$709$	−9.58597	−	0.754432i	−0.360009	−	0.0283333i	−0.102835	−	0.994698i	$-0.532791\pi$
$709$	−9.58597	−	0.754432i	−0.360009	−	0.0283333i	−0.257174	+	0.966365i	$0.582791\pi$
$710$	5.83271	−	0.493978i	0.218898	−	0.0185387i
$711$	−0.913946	−	2.20646i	−0.0342757	−	0.0827487i
$712$	17.1466	+	14.1231i	0.642594	+	0.529287i
$713$	32.0546	−	23.2890i	1.20045	−	0.872180i
$714$	−13.1051	+	32.1786i	−0.490444	+	1.20425i
$715$	3.57646	−	4.92257i	0.133752	−	0.184094i
$716$	1.20230	+	13.2578i	0.0449321	+	0.495467i
$717$	−0.123177	+	0.777710i	−0.00460013	+	0.0290441i
$718$	15.8116	−	22.0374i	0.590085	−	0.822428i
$719$	−3.08197	+	5.02932i	−0.114938	+	0.187562i	−0.904936	−	0.425548i	$-0.860082\pi$
$719$	−3.08197	+	5.02932i	−0.114938	+	0.187562i	0.789998	+	0.613109i	$0.210082\pi$
$720$	−2.31514	−	3.03207i	−0.0862800	−	0.112999i
$721$	10.2190	−	0.804249i	0.380574	−	0.0299518i
$722$	−4.34990	−	26.4449i	−0.161886	−	0.984177i
$723$	−39.3846	+	33.6376i	−1.46473	+	1.25100i
$724$	22.4759	−	37.6765i	0.835312	−	1.40024i
$725$	4.28243	−	2.62428i	0.159045	−	0.0974632i
$726$	23.9075	+	14.4556i	0.887291	+	0.536497i
$727$	−33.6848	−	28.7695i	−1.24930	−	1.06700i	−0.995000	−	0.0998759i	$-0.968155\pi$
$727$	−33.6848	−	28.7695i	−1.24930	−	1.06700i	−0.254299	−	0.967126i	$-0.581845\pi$
$728$	−5.89247	−	0.825756i	−0.218389	−	0.0306045i
$729$	9.77683	−	9.77683i	0.362105	−	0.362105i
$730$	0.100748	+	16.9334i	0.00372885	+	0.626733i
$731$	76.5593	−	18.3803i	2.83165	−	0.679819i
$732$	−1.17349	−	2.74037i	−0.0433735	−	0.101287i
$733$	−30.0627	−	15.3177i	−1.11039	−	0.565772i	−0.200114	−	0.979773i	$-0.564131\pi$
$733$	−30.0627	−	15.3177i	−1.11039	−	0.565772i	−0.910277	+	0.414000i	$0.864131\pi$
$734$	51.1887	+	7.79559i	1.88941	+	0.287740i
$735$	8.26224	+	3.42233i	0.304757	+	0.126235i
$736$	−19.1367	+	28.0580i	−0.705387	+	1.03423i
$737$			13.5792i			0.500198i
$738$	−7.55512	+	4.18400i	−0.278108	+	0.154015i
$739$			10.4738i			0.385287i	0.981269	+	0.192643i	$0.0617060\pi$
$739$			10.4738i			0.385287i	−0.981269	+	0.192643i	$0.938294\pi$
$740$	−3.07104	−	2.99881i	−0.112894	−	0.110238i
$741$	0.542683	+	0.224787i	0.0199360	+	0.00825775i
$742$	2.13527	−	14.0210i	0.0783882	−	0.514725i
$743$	−32.4439	−	16.5310i	−1.19025	−	0.606463i	−0.257253	−	0.966344i	$-0.582817\pi$
$743$	−32.4439	−	16.5310i	−1.19025	−	0.606463i	−0.932998	+	0.359881i	$0.882817\pi$
$744$	−2.25119	+	37.0470i	−0.0825325	+	1.35821i
$745$	−5.15227	+	1.23695i	−0.188765	+	0.0453184i
$746$	0.0803945		0.000478321i	0.00294345		1.75126e-5i
$747$	−6.14650	+	6.14650i	−0.224889	+	0.224889i
$748$	−22.8947	−	67.7103i	−0.837112	−	2.47573i
$749$	19.2273	+	16.4217i	0.702550	+	0.600035i
$750$	1.45498	−	2.40634i	0.0531285	−	0.0878670i
$751$	−0.856707	+	0.524991i	−0.0312617	+	0.0191572i	−0.538042	−	0.842918i	$-0.680836\pi$
$751$	−0.856707	+	0.524991i	−0.0312617	+	0.0191572i	0.506780	+	0.862075i	$0.330836\pi$
$752$	−3.14854	+	0.323346i	−0.114816	+	0.0117912i
$753$	29.3113	−	25.0342i	1.06816	−	0.912299i
$754$	9.32047	−	1.53312i	0.339431	−	0.0558328i
$755$	−7.65269	+	0.602280i	−0.278510	+	0.0219192i
$756$	0.153174	+	12.8720i	0.00557088	+	0.468151i
$757$	5.22497	−	8.52638i	0.189905	−	0.309896i	−0.743490	−	0.668747i	$-0.766831\pi$
$757$	5.22497	−	8.52638i	0.189905	−	0.309896i	0.933395	+	0.358850i	$0.116831\pi$
$758$	42.9713	+	30.8315i	1.56079	+	1.11985i
$759$	8.54478	−	53.9496i	0.310156	−	1.95825i
$760$	0.584686	+	0.230047i	0.0212088	+	0.00834468i
$761$	18.8313	−	25.9191i	0.682634	−	0.939565i	−0.317328	−	0.948316i	$-0.602785\pi$
$761$	18.8313	−	25.9191i	0.682634	−	0.939565i	0.999962	+	0.00875065i	$0.00278546\pi$
$762$	−28.3907	−	11.5624i	−1.02849	−	0.418862i
$763$	−15.4283	+	11.2093i	−0.558541	+	0.405803i
$764$	14.5482	+	3.31015i	0.526337	+	0.119757i
$765$	−2.85071	−	6.88222i	−0.103068	−	0.248827i
$766$	2.11285	+	24.9477i	0.0763403	+	0.901398i
$767$	−8.37150	−	0.658852i	−0.302277	−	0.0237897i
$768$	−8.89036	−	30.5469i	−0.320803	−	1.10227i
$769$	0.125448	+	0.0407606i	0.00452378	+	0.00146987i	0.311278	−	0.950319i	$-0.399243\pi$
$769$	0.125448	+	0.0407606i	0.00452378	+	0.00146987i	−0.306754	+	0.951789i	$0.599243\pi$
$770$	9.71610	−	3.22099i	0.350144	−	0.116076i
$771$	28.4847	−	14.5137i	1.02585	−	0.522697i
$772$	−22.4801	+	26.9640i	−0.809077	+	0.970456i
$773$	7.49879	−	31.2347i	0.269713	−	1.12344i	−0.658854	−	0.752271i	$-0.728959\pi$
$773$	7.49879	−	31.2347i	0.269713	−	1.12344i	0.928567	−	0.371164i	$-0.121041\pi$
$774$	−10.9516	+	8.05680i	−0.393648	+	0.289596i
$775$	−6.27642	+	2.03933i	−0.225456	+	0.0732550i
$776$	11.5118	+	2.54732i	0.413248	+	0.0914434i
$777$	−1.05604	−	6.66755i	−0.0378851	−	0.239197i
$778$	−18.6477	+	37.1429i	−0.668554	+	1.33164i
$779$	0.708265	−	1.23353i	0.0253762	−	0.0441960i
$780$	4.24116	−	3.15916i	0.151858	−	0.113116i
$781$	−18.7054	+	2.96264i	−0.669330	+	0.106012i
$782$	−50.1718	+	43.3697i	−1.79414	+	1.55090i
$783$	−6.31502	−	19.4356i	−0.225680	−	0.694573i
$784$	13.0202	+	12.4148i	0.465007	+	0.443385i
$785$	22.3723	+	5.37112i	0.798502	+	0.191703i
$786$	49.4063	+	11.5510i	1.76226	+	0.412009i
$787$	−15.9115	−	31.2280i	−0.567183	−	1.11316i	−0.979373	−	0.202061i	$-0.935236\pi$
$787$	−15.9115	−	31.2280i	−0.567183	−	1.11316i	0.412190	−	0.911098i	$-0.364764\pi$
$788$	−0.869527	+	5.94715i	−0.0309756	+	0.211858i
$789$	−1.89410	+	5.82943i	−0.0674316	+	0.207533i
$790$	3.26371	−	1.37468i	0.116118	−	0.0489088i
$791$	1.74407	−	22.1605i	0.0620120	−	0.787937i
$792$	8.18207	+	9.24078i	0.290737	+	0.328357i
$793$	0.920975	−	0.381480i	0.0327048	−	0.0135468i
$794$	39.7971	−	9.80522i	1.41235	−	0.347974i
$795$	7.40940	+	10.1982i	0.262784	+	0.361692i
$796$	31.2139	+	35.6783i	1.10635	+	1.26458i
$797$	−10.8483	−	7.88174i	−0.384266	−	0.279186i	0.378836	−	0.925464i	$-0.376324\pi$
$797$	−10.8483	−	7.88174i	−0.384266	−	0.279186i	−0.763102	+	0.646278i	$0.776324\pi$
$798$	0.521319	+	0.839464i	0.0184545	+	0.0297167i
$799$	−6.10436	−	0.966836i	−0.215957	−	0.0342042i
$800$	4.47557	−	3.45967i	0.158235	−	0.122318i
$801$	−6.38662	−	3.91372i	−0.225660	−	0.138285i
$802$	−0.977549	+	0.505434i	−0.0345185	+	0.0178475i
$803$	−4.29852	−	54.6179i	−0.151692	−	1.92742i
$804$	−3.51332	+	11.2673i	−0.123905	+	0.397368i
$805$	−6.16809	−	7.22191i	−0.217397	−	0.254539i
$806$	−12.3786	−	0.900145i	−0.436017	−	0.0317063i
$807$	−11.1562	−	18.2053i	−0.392717	−	0.640856i
$808$	42.4006	−	4.09964i	1.49165	−	0.144225i
$809$	−29.2470	+	34.2438i	−1.02827	+	1.20395i	−0.0495429	+	0.998772i	$0.515776\pi$
$809$	−29.2470	+	34.2438i	−1.02827	+	1.20395i	−0.978725	+	0.205175i	$0.934224\pi$
$810$	−11.0165	−	10.8862i	−0.387082	−	0.382503i
$811$	17.9942	+	17.9942i	0.631863	+	0.631863i	0.948535	−	0.316672i	$-0.102565\pi$
$811$	17.9942	+	17.9942i	0.631863	+	0.631863i	−0.316672	+	0.948535i	$0.602565\pi$
$812$	14.2433	+	7.04510i	0.499841	+	0.247234i
$813$	−10.1074	−	42.1002i	−0.354481	−	1.47652i
$814$	10.6134	+	8.95608i	0.372001	+	0.313911i
$815$	0.220932	−	0.433603i	0.00773890	−	0.0151885i
$816$	−1.47830	−	62.1059i	−0.0517508	−	2.17414i
$817$	0.856931	−	2.06882i	0.0299802	−	0.0723787i
$818$	13.0417	−	40.9660i	0.455993	−	1.43234i
$819$	2.00630			0.0701058
$820$	−6.27074	−	11.1659i	−0.218984	−	0.389931i
$821$	49.9138			1.74200			0.871001	−	0.491281i	$-0.163471\pi$
$821$	49.9138			1.74200			0.871001	+	0.491281i	$0.163471\pi$
$822$	0.197710	−	0.621038i	0.00689594	−	0.0216612i
$823$	1.66362	−	4.01633i	0.0579901	−	0.140000i	−0.892229	−	0.451584i	$-0.850859\pi$
$823$	1.66362	−	4.01633i	0.0579901	−	0.140000i	0.950219	+	0.311583i	$0.100859\pi$
$824$	−16.1792	+	8.61083i	−0.563628	+	0.299972i
$825$	−4.13037	+	8.10630i	−0.143801	+	0.282225i
$826$	−10.7965	−	9.11054i	−0.375658	−	0.316996i
$827$	5.73900	+	23.9046i	0.199565	+	0.831246i	0.978850	+	0.204577i	$0.0655820\pi$
$827$	5.73900	+	23.9046i	0.199565	+	0.831246i	−0.779286	+	0.626669i	$0.784418\pi$
$828$	5.07727	−	10.2649i	0.176447	−	0.356728i
$829$	−3.39041	−	3.39041i	−0.117754	−	0.117754i	0.645774	−	0.763528i	$-0.276535\pi$
$829$	−3.39041	−	3.39041i	−0.117754	−	0.117754i	−0.763528	+	0.645774i	$0.776535\pi$
$830$	−9.16834	−	9.05989i	−0.318238	−	0.314473i
$831$	21.0672	−	24.6665i	0.730813	−	0.855673i
$832$	10.2495	−	2.85116i	0.355336	−	0.0988461i
$833$	18.3551	+	29.9528i	0.635967	+	1.03780i
$834$	−36.2649	−	2.63711i	−1.25575	−	0.0913156i
$835$	−9.98222	−	11.6877i	−0.345449	−	0.404469i
$836$	−1.94068	−	0.605130i	−0.0671197	−	0.0209289i
$837$	2.10677	+	26.7690i	0.0728206	+	0.925273i
$838$	−24.0974	+	12.4594i	−0.832431	+	0.430402i
$839$	−10.7282	−	6.57426i	−0.370379	−	0.226969i	0.324836	−	0.945770i	$-0.394691\pi$
$839$	−10.7282	−	6.57426i	−0.370379	−	0.226969i	−0.695215	+	0.718802i	$0.744691\pi$
$840$	8.89526	−	0.158786i	0.306915	−	0.00547865i
$841$	3.72751	+	0.590380i	0.128535	+	0.0203579i
$842$	−26.8118	−	43.1742i	−0.923996	−	1.48788i
$843$	−13.4208	−	9.75075i	−0.462236	−	0.335834i
$844$	1.14528	−	1.00197i	0.0394221	−	0.0344893i
$845$	−6.60174	−	9.08652i	−0.227107	−	0.312586i
$846$	1.03625	−	0.255313i	0.0356272	−	0.00877783i
$847$	−14.5202	+	6.01447i	−0.498920	+	0.206660i
$848$	6.50488	+	24.5099i	0.223379	+	0.841673i
$849$	3.17396	−	40.3290i	0.108930	−	1.38409i
$850$	10.1799	−	4.28779i	0.349168	−	0.147070i
$851$	3.98174	−	12.2545i	0.136492	−	0.420080i
$852$	−16.2872	−	2.38134i	−0.557991	−	0.0815834i
$853$	17.7460	+	34.8285i	0.607611	+	1.19250i	0.965905	+	0.258895i	$0.0833584\pi$
$853$	17.7460	+	34.8285i	0.607611	+	1.19250i	−0.358294	+	0.933609i	$0.616642\pi$
$854$	1.63296	+	0.381778i	0.0558787	+	0.0130642i
$855$	−0.206008	−	0.0494582i	−0.00704533	−	0.00169144i
$856$	−43.2401	−	13.2011i	−1.47792	−	0.451206i
$857$	12.4646	+	38.3620i	0.425781	+	1.31042i	0.902244	+	0.431225i	$0.141919\pi$
$857$	12.4646	+	38.3620i	0.425781	+	1.31042i	−0.476463	+	0.879194i	$0.658081\pi$
$858$	−12.9443	+	11.1893i	−0.441910	+	0.381997i
$859$	−37.3685	+	5.91859i	−1.27500	+	0.201940i	−0.756984	−	0.653433i	$-0.773328\pi$
$859$	−37.3685	+	5.91859i	−1.27500	+	0.201940i	−0.518013	+	0.855373i	$0.673328\pi$
$860$	−12.0434	−	16.1681i	−0.410675	−	0.551329i
$861$	2.58126	−	19.9746i	0.0879692	−	0.680733i
$862$	10.4519	−	20.8182i	0.355992	−	0.709071i
$863$	−5.69492	−	35.9563i	−0.193857	−	1.22397i	−0.872173	−	0.489197i	$-0.837290\pi$
$863$	−5.69492	−	35.9563i	−0.193857	−	1.22397i	0.678316	−	0.734771i	$-0.262710\pi$
$864$	−9.43670	−	20.9933i	−0.321043	−	0.714205i
$865$	−3.75341	+	1.21956i	−0.127620	+	0.0414662i
$866$	−17.6506	+	12.9851i	−0.599792	+	0.441250i
$867$	20.4276	−	85.0872i	0.693758	−	2.88971i
$868$	−16.0369	−	13.3701i	−0.544329	−	0.453811i
$869$	−10.2089	+	5.20171i	−0.346314	+	0.176456i
$870$	−13.4060	+	4.44424i	−0.454507	+	0.150674i
$871$	−3.75352	−	1.21959i	−0.127183	−	0.0413243i
$872$	17.2943	−	29.3864i	0.585657	−	0.995149i
$873$	−3.96330	−	0.311918i	−0.134137	−	0.0105568i
$874$	0.159169	+	1.87941i	0.00538399	+	0.0635721i
$875$	0.605368	+	1.46149i	0.0204652	+	0.0494073i
$876$	10.5644	−	46.4312i	0.356939	−	1.56876i
$877$	−39.9166	+	29.0011i	−1.34789	+	0.979298i	−0.348775	+	0.937207i	$0.613402\pi$
$877$	−39.9166	+	29.0011i	−1.34789	+	0.979298i	−0.999114	+	0.0420916i	$0.986598\pi$
$878$	−46.5992	−	18.9780i	−1.57265	−	0.640476i
$879$	−13.3074	+	18.3160i	−0.448847	+	0.617784i
$880$	−13.6302	+	12.2140i	−0.459473	+	0.411734i
$881$	0.435632	−	2.75047i	0.0146768	−	0.0926657i	−0.979263	−	0.202595i	$-0.935062\pi$
$881$	0.435632	−	2.75047i	0.0146768	−	0.0926657i	0.993939	+	0.109929i	$0.0350625\pi$
$882$	−4.92877	−	3.53635i	−0.165960	−	0.119075i
$883$	−9.19276	+	15.0012i	−0.309361	+	0.504831i	−0.969102	−	0.246662i	$-0.920666\pi$
$883$	−9.19276	+	15.0012i	−0.309361	+	0.504831i	0.659741	+	0.751493i	$0.270666\pi$
$884$	20.7724	−	0.247187i	0.698653	−	0.00831379i
$885$	12.5173	−	0.985133i	0.420765	−	0.0331149i
$886$	−10.9619	+	1.80311i	−0.368271	+	0.0605766i
$887$	21.1577	−	18.0704i	0.710407	−	0.606745i	−0.219033	−	0.975717i	$-0.570290\pi$
$887$	21.1577	−	18.0704i	0.710407	−	0.606745i	0.929440	+	0.368972i	$0.120290\pi$
$888$	6.48929	+	10.1773i	0.217766	+	0.341527i
$889$	14.7037	−	9.01045i	0.493147	−	0.302201i
$890$	5.74698	−	9.50469i	0.192639	−	0.318598i
$891$	38.1032	+	32.5432i	1.27650	+	1.09024i
$892$	19.4668	−	6.58224i	0.651796	−	0.220390i
$893$	−0.124293	+	0.124293i	−0.00415929	+	0.00415929i
$894$	14.8997	−	0.0886482i	0.498321	−	0.00296484i
$895$	6.47218	−	1.55383i	0.216341	−	0.0519389i
$896$	16.8057	+	6.15459i	0.561438	+	0.205610i
$897$	14.1451	+	7.20729i	0.472291	+	0.240644i
$898$	2.03136	−	13.3387i	0.0677874	−	0.445117i
$899$	30.6228	+	12.6844i	1.02133	+	0.423048i
$900$	−1.33262	+	1.36472i	−0.0444206	+	0.0454905i
$901$			49.5170i			1.64965i
$902$	22.8548	+	34.5593i	0.760982	+	1.15070i
$903$		−	31.7071i		−	1.05515i
$904$	12.9547	+	37.5748i	0.430866	+	1.24972i
$905$	−20.2659	−	8.39440i	−0.673660	−	0.279039i
$906$	21.3400	+	3.24990i	0.708974	+	0.107971i
$907$	10.1724	+	5.18310i	0.337769	+	0.172102i	0.614645	−	0.788804i	$-0.289299\pi$
$907$	10.1724	+	5.18310i	0.337769	+	0.172102i	−0.276876	+	0.960906i	$0.589299\pi$
$908$	13.3771	−	5.72838i	0.443933	−	0.190103i
$909$	−13.9669	+	3.35316i	−0.463253	+	0.111217i
$910$	0.0177001	+	2.97497i	0.000586752	+	0.0986193i
$911$	−22.9698	+	22.9698i	−0.761024	+	0.761024i	−0.976508	−	0.215483i	$-0.930867\pi$
$911$	−22.9698	+	22.9698i	−0.761024	+	0.761024i	0.215483	+	0.976508i	$0.430867\pi$
$912$	−1.45371	−	1.00421i	−0.0481370	−	0.0332527i
$913$	31.7107	+	27.0835i	1.04947	+	0.896334i
$914$	−32.7353	−	19.7933i	−1.08279	−	0.654704i
$915$	−1.27088	+	0.778798i	−0.0420141	+	0.0257463i
$916$	−30.9404	−	18.4575i	−1.02230	−	0.609853i
$917$	−21.7043	+	18.5372i	−0.716739	+	0.612153i
$918$	−7.29484	−	44.3485i	−0.240766	−	1.46372i
$919$	31.7765	−	2.50086i	1.04821	−	0.0824958i	0.457363	−	0.889280i	$-0.348794\pi$
$919$	31.7765	−	2.50086i	1.04821	−	0.0824958i	0.590846	+	0.806784i	$0.298794\pi$
$920$	15.2657	+	7.43809i	0.503294	+	0.245227i
$921$	−15.7127	+	25.6408i	−0.517750	+	0.844892i
$922$	−23.9493	+	33.3792i	−0.788728	+	1.09929i
$923$	0.861064	−	5.43654i	0.0283423	−	0.178946i
$924$	−28.6664	+	2.59965i	−0.943055	+	0.0855222i
$925$	−1.26149	+	1.73629i	−0.0414774	+	0.0570887i
$926$	1.37436	−	3.37464i	0.0451641	−	0.110897i
$927$	4.99972	−	3.63251i	0.164212	−	0.119307i
$928$	−28.3780	−	1.38572i	−0.931554	−	0.0454884i
$929$	2.54328	+	6.14002i	0.0834422	+	0.201447i	0.960094	−	0.279679i	$-0.0902279\pi$
$929$	2.54328	+	6.14002i	0.0834422	+	0.201447i	−0.876651	+	0.481126i	$0.840228\pi$
$930$	18.4915	−	1.56606i	0.606359	−	0.0513532i
$931$	0.996027	+	0.0783890i	0.0326435	+	0.00256910i
$932$	−41.9239	−	2.79798i	−1.37326	−	0.0916507i
$933$	42.8850	+	13.9342i	1.40399	+	0.456185i
$934$	−9.00922	−	27.1763i	−0.294791	−	0.889235i
$935$	−31.8429	+	16.2248i	−1.04137	+	0.530606i
$936$	−3.28915	+	1.43171i	−0.107509	+	0.0467970i
$937$	11.9490	−	49.7713i	0.390358	−	1.62596i	−0.338272	−	0.941048i	$-0.609842\pi$
$937$	11.9490	−	49.7713i	0.390358	−	1.62596i	0.728629	−	0.684908i	$-0.240158\pi$
$938$	−3.93445	−	5.34811i	−0.128464	−	0.174622i
$939$	44.8085	−	14.5591i	1.46227	−	0.475120i
$940$	0.387723	+	1.53432i	0.0126461	+	0.0500440i
$941$	0.981052	+	6.19412i	0.0319814	+	0.201923i	0.998505	−	0.0546538i	$-0.0174055\pi$
$941$	0.981052	+	6.19412i	0.0319814	+	0.201923i	−0.966524	+	0.256576i	$0.917406\pi$
$942$	−57.8209	−	29.0292i	−1.88391	−	0.945823i
$943$	21.6988	−	31.7338i	0.706611	−	1.03340i
$944$	24.2013	+	7.23148i	0.787684	+	0.235365i
$945$	6.35723	−	1.00689i	0.206801	−	0.0327540i
$946$	42.6559	+	49.3461i	1.38686	+	1.60438i
$947$	2.19347	+	6.75082i	0.0712784	+	0.219372i	0.980349	−	0.197269i	$-0.0632072\pi$
$947$	2.19347	+	6.75082i	0.0712784	+	0.219372i	−0.909071	+	0.416641i	$0.863207\pi$
$948$	−9.81664	+	1.67478i	−0.318830	+	0.0543942i
$949$	15.4833	+	3.71722i	0.502610	+	0.120666i
$950$	0.0715199	−	0.305908i	0.00232041	−	0.00992497i
$951$	−24.6086	−	48.2971i	−0.797989	−	1.56614i
$952$	28.6353	+	20.0338i	0.928076	+	0.649299i
$953$	16.5424	−	50.9124i	0.535862	−	1.64921i	−0.205916	−	0.978570i	$-0.566017\pi$
$953$	16.5424	−	50.9124i	0.535862	−	1.64921i	0.741779	−	0.670645i	$-0.233983\pi$
$954$	−3.31912	−	7.88013i	−0.107460	−	0.255129i
$955$	0.585308	−	7.43704i	0.0189401	−	0.240657i
$956$	0.735266	+	0.294357i	0.0237802	+	0.00952018i
$957$	42.2164	−	17.4866i	1.36466	−	0.565262i
$958$	4.09779	+	16.6320i	0.132394	+	0.537355i
$959$	0.215507	+	0.296620i	0.00695908	+	0.00957836i
$960$	−14.4697	+	6.60804i	−0.467007	+	0.213274i
$961$	−10.1550	−	7.37805i	−0.327581	−	0.238002i
$962$	−3.42883	+	2.12935i	−0.110550	+	0.0686531i
$963$	15.0568	+	2.38477i	0.485200	+	0.0768481i
$964$	24.2019	+	46.1335i	0.779492	+	1.48586i
$965$	14.9663	+	9.17135i	0.481782	+	0.295236i
$966$	12.2661	+	23.7235i	0.394654	+	0.763292i
$967$	1.00548	+	12.7758i	0.0323340	+	0.410843i	0.991691	+	0.128646i	$0.0410631\pi$
$967$	1.00548	+	12.7758i	0.0323340	+	0.410843i	−0.959357	+	0.282197i	$0.908937\pi$
$968$	19.5126	−	20.2219i	0.627160	−	0.649958i
$969$	−2.24064	−	2.62345i	−0.0719798	−	0.0842775i
$970$	0.427552	−	5.87959i	0.0137279	−	0.188782i
$971$	−26.0941	−	42.5818i	−0.837401	−	1.36651i	−0.928754	−	0.370696i	$-0.879119\pi$
$971$	−26.0941	−	42.5818i	−0.837401	−	1.36651i	0.0913533	−	0.995819i	$-0.470881\pi$
$972$	10.1937	+	16.1987i	0.326963	+	0.519575i
$973$	13.2843	−	15.5539i	0.425874	−	0.498634i
$974$	4.46240	−	4.51581i	0.142984	−	0.144696i
$975$	−1.86975	−	1.86975i	−0.0598799	−	0.0598799i
$976$	−2.94953	+	0.539401i	−0.0944123	+	0.0172658i
$977$	−10.4256	−	43.4258i	−0.333545	−	1.38931i	−0.847180	−	0.531305i	$-0.821702\pi$
$977$	−10.4256	−	43.4258i	−0.333545	−	1.38931i	0.513636	−	0.858008i	$-0.328298\pi$
$978$	−0.882532	+	1.04585i	−0.0282202	+	0.0334425i
$979$	−16.3144	+	32.0187i	−0.521409	+	1.02332i
$980$	5.20026	−	7.33964i	0.166116	−	0.234456i
$981$	−4.39987	+	10.6222i	−0.140477	+	0.339142i
$982$	21.5849	+	6.87166i	0.688802	+	0.219283i
$983$	−46.4885			−1.48275			−0.741376	−	0.671090i	$-0.765827\pi$
$983$	−46.4885			−1.48275			−0.741376	+	0.671090i	$0.765827\pi$
$984$	10.0223	+	34.5886i	0.319499	+	1.10265i
$985$	3.00519			0.0957533
$986$	−52.8651	−	16.8299i	−1.68357	−	0.535972i
$987$	−0.952467	+	2.29946i	−0.0303174	+	0.0731926i
$988$	0.341565	−	0.482085i	0.0108666	−	0.0153372i
$989$	27.4756	−	53.9239i	0.873674	−	1.71468i
$990$	3.97993	−	4.71643i	0.126490	−	0.149898i
$991$	2.96533	+	12.3515i	0.0941967	+	0.392357i	0.999473	−	0.0324662i	$-0.0103361\pi$
$991$	2.96533	+	12.3515i	0.0941967	+	0.392357i	−0.905276	+	0.424824i	$0.860336\pi$
$992$	35.8322	+	10.4751i	1.13767	+	0.332583i
$993$	−16.5076	−	16.5076i	−0.523852	−	0.523852i
$994$	6.50860	−	6.58651i	0.206440	−	0.208911i
$995$	15.3936	−	18.0236i	0.488010	−	0.571386i
$996$	19.3047	+	30.6769i	0.611691	+	0.972035i
$997$	−15.8720	−	25.9007i	−0.502671	−	0.820284i	0.496180	−	0.868220i	$-0.334736\pi$
$997$	−15.8720	−	25.9007i	−0.502671	−	0.820284i	−0.998850	+	0.0479358i	$0.984736\pi$
$998$	−1.55146	+	21.3353i	−0.0491106	+	0.675356i
$999$	5.67121	+	6.64014i	0.179429	+	0.210085i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	820.2.bw.b.11.37	yes	672
4.3	odd	2	inner	820.2.bw.b.11.34	✓	672
41.15	odd	40	inner	820.2.bw.b.671.34	yes	672
164.15	even	40	inner	820.2.bw.b.671.37	yes	672

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
820.2.bw.b.11.34	✓	672	4.3	odd	2	inner
820.2.bw.b.11.37	yes	672	1.1	even	1	trivial
820.2.bw.b.671.34	yes	672	41.15	odd	40	inner
820.2.bw.b.671.37	yes	672	164.15	even	40	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 820 = 2^{2} \cdot 5 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	820.bw (of order \(40\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(1.34757 + 0.429006i) q^{2} +(-0.760926 + 1.83704i) q^{3} +(1.63191 + 1.15623i) q^{4} +(0.453990 - 0.891007i) q^{5} +(-1.81350 + 2.14910i) q^{6} +(-0.369288 - 1.53819i) q^{7} +(1.70308 + 2.25821i) q^{8} +(-0.674382 - 0.674382i) q^{9} +(0.994033 - 1.00593i) q^{10} +(-2.97155 + 3.47924i) q^{11} +(-3.36581 + 2.11807i) q^{12} +(-0.694833 - 1.13386i) q^{13} +(0.162252 - 2.23126i) q^{14} +(1.29136 + 1.51199i) q^{15} +(1.32624 + 3.77374i) q^{16} +(0.612824 + 7.78667i) q^{17} +(-0.619465 - 1.19809i) q^{18} +(0.189408 + 0.116069i) q^{19} +(1.77108 - 0.929121i) q^{20} +(3.10672 + 0.492057i) q^{21} +(-5.49700 + 3.41372i) q^{22} +(4.85718 + 3.52895i) q^{23} +(-5.44434 + 1.41030i) q^{24} +(-0.587785 - 0.809017i) q^{25} +(-0.449904 - 1.82605i) q^{26} +(-3.75910 + 1.55707i) q^{27} +(1.17587 - 2.93717i) q^{28} +(-0.394065 + 5.00707i) q^{29} +(1.09155 + 2.59152i) q^{30} +(2.03933 - 6.27642i) q^{31} +(0.168255 + 5.65435i) q^{32} +(-4.13037 - 8.10630i) q^{33} +(-2.51470 + 10.7560i) q^{34} +(-1.53819 - 0.369288i) q^{35} +(-0.320785 - 1.88027i) q^{36} +(-0.663202 - 2.04113i) q^{37} +(0.205447 + 0.237669i) q^{38} +(2.61167 - 0.413648i) q^{39} +(2.78526 - 0.492253i) q^{40} +(-0.182878 - 6.40051i) q^{41} +(3.97544 + 1.99589i) q^{42} +(-1.57691 - 9.95621i) q^{43} +(-8.87211 + 2.24199i) q^{44} +(-0.907041 + 0.294716i) q^{45} +(5.03147 + 6.83928i) q^{46} +(-0.184720 + 0.769413i) q^{47} +(-7.94167 - 0.435173i) q^{48} +(4.00738 - 2.04186i) q^{49} +(-0.445010 - 1.34237i) q^{50} +(-14.7707 - 4.79930i) q^{51} +(0.177110 - 2.65375i) q^{52} +(6.32005 + 0.497399i) q^{53} +(-5.73365 + 0.485589i) q^{54} +(1.75097 + 4.22721i) q^{55} +(2.84464 - 3.45360i) q^{56} +(-0.357349 + 0.259630i) q^{57} +(-2.67909 + 6.57834i) q^{58} +(3.71165 - 5.10865i) q^{59} +(0.359167 + 3.96054i) q^{60} +(-0.117265 + 0.740384i) q^{61} +(5.44077 - 7.58305i) q^{62} +(-0.788289 + 1.28637i) q^{63} +(-2.19902 + 7.69184i) q^{64} +(-1.32573 + 0.104337i) q^{65} +(-2.08832 - 12.6958i) q^{66} +(2.25674 - 1.92744i) q^{67} +(-8.00314 + 13.4157i) q^{68} +(-10.1788 + 6.23756i) q^{69} +(-1.91440 - 1.15754i) q^{70} +(3.14741 + 2.68814i) q^{71} +(0.374367 - 2.67142i) q^{72} +(-8.46685 + 8.46685i) q^{73} +(-0.0180577 - 3.03509i) q^{74} +(1.93346 - 0.464182i) q^{75} +(0.174893 + 0.408414i) q^{76} +(6.44910 + 3.28598i) q^{77} +(3.69687 + 0.563002i) q^{78} +(2.31353 + 0.958296i) q^{79} +(3.96452 + 0.531548i) q^{80} -10.9516i q^{81} +(2.49942 - 8.70362i) q^{82} -9.11427i q^{83} +(4.50095 + 4.39509i) q^{84} +(7.21619 + 2.98904i) q^{85} +(2.14627 - 14.0932i) q^{86} +(-8.89832 - 4.53392i) q^{87} +(-12.9176 - 0.784949i) q^{88} +(7.63688 - 1.83345i) q^{89} +(-1.34874 + 0.00802455i) q^{90} +(-1.48751 + 1.48751i) q^{91} +(3.84618 + 11.3750i) q^{92} +(9.97824 + 8.52222i) q^{93} +(-0.579006 + 0.957594i) q^{94} +(0.189408 - 0.116069i) q^{95} +(-10.5153 - 3.99345i) q^{96} +(3.16973 - 2.70721i) q^{97} +(6.27621 - 1.03237i) q^{98} +(4.35029 - 0.342376i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 672 q + 12 q^{6} + 16 q^{9} - 124 q^{12} - 24 q^{14} - 32 q^{16} - 8 q^{17} + 40 q^{21} - 4 q^{22} - 24 q^{24} - 28 q^{28} - 12 q^{30} - 20 q^{32} + 40 q^{33} - 4 q^{34} - 60 q^{36} + 80 q^{37} - 172 q^{38}+ \cdots - 116 q^{98}+O(q^{100}) \) 672 * q + 12 * q^6 + 16 * q^9 - 124 * q^12 - 24 * q^14 - 32 * q^16 - 8 * q^17 + 40 * q^21 - 4 * q^22 - 24 * q^24 - 28 * q^28 - 12 * q^30 - 20 * q^32 + 40 * q^33 - 4 * q^34 - 60 * q^36 + 80 * q^37 - 172 * q^38 + 160 * q^42 - 24 * q^44 - 16 * q^46 + 40 * q^48 - 24 * q^52 - 64 * q^54 + 68 * q^56 - 112 * q^58 + 36 * q^62 - 120 * q^64 + 8 * q^65 + 144 * q^68 - 104 * q^69 + 24 * q^70 - 320 * q^72 - 92 * q^74 - 24 * q^76 + 160 * q^77 - 128 * q^78 - 192 * q^82 - 172 * q^84 - 32 * q^85 - 112 * q^88 + 8 * q^89 - 48 * q^90 + 24 * q^92 + 92 * q^94 + 56 * q^96 - 116 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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