LMFDB - Embedded newform 798.2.cc.b.641.6

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [798,2,Mod(317,798)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("798.317"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(798, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([9, 6, 5])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.cc (of order $18$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [162,0,0,0,0,0,0,81] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(8)] == traces)

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

Self dual:	no
Analytic conductor:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$162$
Relative dimension:	$27$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			641.6
Character	$\chi$	$=$	798.641
Dual form			798.2.cc.b.737.6

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.766044 - 0.642788i) q^{2} +(-1.28547 - 1.16085i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.352459 - 0.0621481i) q^{5} +(0.238552 + 1.71554i) q^{6} +(0.654655 - 2.56348i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.304878 + 2.98447i) q^{9} +(0.230051 + 0.274165i) q^{10} +(-3.58244 + 2.06832i) q^{11} +(0.919989 - 1.46752i) q^{12} +(0.464568 - 0.0819158i) q^{13} +(-2.14927 + 1.54294i) q^{14} +(0.380932 + 0.489040i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-2.68658 - 0.473717i) q^{17} +(1.68483 - 2.48221i) q^{18} +(0.347999 + 4.34499i) q^{19} -0.357897i q^{20} +(-3.81734 + 2.53533i) q^{21} +(4.07380 + 0.718321i) q^{22} +(0.556758 - 1.52968i) q^{23} +(-1.64806 + 0.532829i) q^{24} +(-4.57810 - 1.66629i) q^{25} +(-0.408534 - 0.235867i) q^{26} +(3.07259 - 4.19037i) q^{27} +(2.63821 + 0.199565i) q^{28} +(0.141207 + 0.0513951i) q^{29} +(0.0225379 - 0.619485i) q^{30} +0.890939i q^{31} +(0.939693 + 0.342020i) q^{32} +(7.00613 + 1.49989i) q^{33} +(1.75354 + 2.08979i) q^{34} +(-0.390054 + 0.862837i) q^{35} +(-2.88619 + 0.818493i) q^{36} +(-8.04416 + 4.64430i) q^{37} +(2.52632 - 3.55214i) q^{38} +(-0.692281 - 0.433991i) q^{39} +(-0.230051 + 0.274165i) q^{40} +(-1.78310 + 10.1124i) q^{41} +(4.55393 + 0.511566i) q^{42} +(3.95923 + 3.32219i) q^{43} +(-2.65898 - 3.16885i) q^{44} +(0.0780220 - 1.07085i) q^{45} +(-1.40976 + 0.813926i) q^{46} +(11.1693 - 1.96945i) q^{47} +(1.60498 + 0.651180i) q^{48} +(-6.14285 - 3.35639i) q^{49} +(2.43596 + 4.21920i) q^{50} +(2.90362 + 3.72766i) q^{51} +(0.161343 + 0.443285i) q^{52} +(2.14506 + 12.1652i) q^{53} +(-5.04726 + 1.23498i) q^{54} +(1.39121 - 0.506358i) q^{55} +(-1.89271 - 1.84869i) q^{56} +(4.59651 - 5.98933i) q^{57} +(-0.0751346 - 0.130137i) q^{58} +(-0.815616 + 4.62559i) q^{59} +(-0.415462 + 0.460066i) q^{60} +(8.62379 + 3.13880i) q^{61} +(0.572684 - 0.682499i) q^{62} +(7.85021 + 1.17225i) q^{63} +(-0.500000 - 0.866025i) q^{64} -0.168832 q^{65} +(-4.40290 - 5.65243i) q^{66} +(-1.04404 - 1.24424i) q^{67} -2.72803i q^{68} +(-2.49142 + 1.32005i) q^{69} +(0.853420 - 0.410249i) q^{70} +(2.88214 + 2.41840i) q^{71} +(2.73706 + 1.22820i) q^{72} +(0.111567 + 0.0936159i) q^{73} +(9.14748 + 1.61295i) q^{74} +(3.95071 + 7.45643i) q^{75} +(-4.21855 + 1.09721i) q^{76} +(2.95684 + 10.5375i) q^{77} +(0.251354 + 0.777446i) q^{78} +(-1.27072 - 3.49128i) q^{79} +(0.352459 - 0.0621481i) q^{80} +(-8.81410 + 1.81980i) q^{81} +(7.86608 - 6.60042i) q^{82} +(3.58230 - 2.06824i) q^{83} +(-3.15969 - 3.31909i) q^{84} +(0.917471 + 0.333932i) q^{85} +(-0.897485 - 5.08989i) q^{86} +(-0.121856 - 0.229986i) q^{87} +4.13664i q^{88} +(-6.96008 + 5.84020i) q^{89} +(-0.748098 + 0.770168i) q^{90} +(0.0941419 - 1.24454i) q^{91} +(1.60312 + 0.282674i) q^{92} +(1.03424 - 1.14528i) q^{93} +(-9.82211 - 5.67080i) q^{94} +(0.147377 - 1.55306i) q^{95} +(-0.810916 - 1.53049i) q^{96} +(5.26058 + 14.4533i) q^{97} +(2.54826 + 6.51969i) q^{98} +(-7.26505 - 10.0611i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 162 q + 81 q^{8} + 15 q^{13} - 9 q^{14} + 3 q^{15} - 12 q^{17} + 18 q^{18} - 36 q^{19} - 6 q^{22} + 12 q^{25} + 9 q^{27} - 12 q^{28} - 6 q^{29} - 12 q^{33} + 6 q^{34} + 12 q^{35} - 18 q^{37} - 9 q^{39}+ \cdots + 39 q^{99}+O(q^{100}) $ 162 * q + 81 * q^8 + 15 * q^13 - 9 * q^14 + 3 * q^15 - 12 * q^17 + 18 * q^18 - 36 * q^19 - 6 * q^22 + 12 * q^25 + 9 * q^27 - 12 * q^28 - 6 * q^29 - 12 * q^33 + 6 * q^34 + 12 * q^35 - 18 * q^37 - 9 * q^39 - 9 * q^43 - 6 * q^44 + 18 * q^45 - 18 * q^46 - 12 * q^47 + 24 * q^49 - 87 * q^50 + 24 * q^51 + 12 * q^52 + 36 * q^53 + 18 * q^54 - 18 * q^57 - 24 * q^59 - 27 * q^60 - 9 * q^61 - 36 * q^62 + 6 * q^63 - 81 * q^64 + 72 * q^65 + 12 * q^66 - 63 * q^67 - 9 * q^69 + 12 * q^70 - 12 * q^71 - 51 * q^73 + 42 * q^74 - 18 * q^78 + 21 * q^79 - 12 * q^81 + 3 * q^84 - 6 * q^85 - 36 * q^86 - 84 * q^87 + 54 * q^89 + 12 * q^90 + 75 * q^91 - 66 * q^93 + 72 * q^94 - 12 * q^97 - 12 * q^98 + 39 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{7}{18}\right)$	$-1$

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 $

$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$2$	−0.766044	−	0.642788i	−0.541675	−	0.454519i
$3$	−1.28547	−	1.16085i	−0.742168	−	0.670214i
$3$	−1.28547	−	1.16085i	−0.742168	−	0.670214i
$4$	0.173648	+	0.984808i	0.0868241	+	0.492404i
$5$	−0.352459	−	0.0621481i	−0.157625	−	0.0277935i	0.0942789	−	0.995546i	$-0.469945\pi$
$5$	−0.352459	−	0.0621481i	−0.157625	−	0.0277935i	−0.251904	+	0.967752i	$0.581057\pi$
$6$	0.238552	+	1.71554i	0.0973885	+	0.700368i
$7$	0.654655	−	2.56348i	0.247436	−	0.968904i
$7$	0.654655	−	2.56348i	0.247436	−	0.968904i
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	0.304878	+	2.98447i	0.101626	+	0.994823i
$10$	0.230051	+	0.274165i	0.0727487	+	0.0866985i
$11$	−3.58244	+	2.06832i	−1.08015	+	0.623623i	−0.930936	−	0.365183i	$-0.881006\pi$
$11$	−3.58244	+	2.06832i	−1.08015	+	0.623623i	−0.149210	+	0.988805i	$0.547673\pi$
$12$	0.919989	−	1.46752i	0.265578	−	0.423637i
$13$	0.464568	−	0.0819158i	0.128848	−	0.0227194i	−0.108852	−	0.994058i	$-0.534718\pi$
$13$	0.464568	−	0.0819158i	0.128848	−	0.0227194i	0.237700	+	0.971339i	$0.423606\pi$
$14$	−2.14927	+	1.54294i	−0.574416	+	0.412367i
$15$	0.380932	+	0.489040i	0.0983563	+	0.126270i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	−2.68658	−	0.473717i	−0.651592	−	0.114893i	−0.161926	−	0.986803i	$-0.551770\pi$
$17$	−2.68658	−	0.473717i	−0.651592	−	0.114893i	−0.489667	+	0.871910i	$0.662882\pi$
$18$	1.68483	−	2.48221i	0.397118	−	0.585062i
$19$	0.347999	+	4.34499i	0.0798365	+	0.996808i
$19$	0.347999	+	4.34499i	0.0798365	+	0.996808i
$20$		−	0.357897i		−	0.0800281i
$21$	−3.81734	+	2.53533i	−0.833012	+	0.553254i
$22$	4.07380	+	0.718321i	0.868537	+	0.153146i
$23$	0.556758	−	1.52968i	0.116092	−	0.318961i	−0.868015	−	0.496539i	$-0.834604\pi$
$23$	0.556758	−	1.52968i	0.116092	−	0.318961i	0.984107	+	0.177578i	$0.0568263\pi$
$24$	−1.64806	+	0.532829i	−0.336408	+	0.108763i
$25$	−4.57810	−	1.66629i	−0.915620	−	0.333258i
$26$	−0.408534	−	0.235867i	−0.0801201	−	0.0462574i
$27$	3.07259	−	4.19037i	0.591321	−	0.806436i
$28$	2.63821	+	0.199565i	0.498576	+	0.0377143i
$29$	0.141207	+	0.0513951i	0.0262214	+	0.00954382i	0.355098	−	0.934829i	$-0.384448\pi$
$29$	0.141207	+	0.0513951i	0.0262214	+	0.00954382i	−0.328876	+	0.944373i	$0.606670\pi$
$30$	0.0225379	−	0.619485i	0.00411484	−	0.113102i
$31$			0.890939i			0.160017i	0.996794	+	0.0800086i	$0.0254948\pi$
$31$			0.890939i			0.160017i	−0.996794	+	0.0800086i	$0.974505\pi$
$32$	0.939693	+	0.342020i	0.166116	+	0.0604612i
$33$	7.00613	+	1.49989i	1.21961	+	0.261097i
$34$	1.75354	+	2.08979i	0.300730	+	0.358396i
$35$	−0.390054	+	0.862837i	−0.0659312	+	0.145846i
$36$	−2.88619	+	0.818493i	−0.481031	+	0.136416i
$37$	−8.04416	+	4.64430i	−1.32245	+	0.763518i	−0.984119	−	0.177509i	$-0.943196\pi$
$37$	−8.04416	+	4.64430i	−1.32245	+	0.763518i	−0.338332	+	0.941027i	$0.609863\pi$
$38$	2.52632	−	3.55214i	0.409823	−	0.576233i
$39$	−0.692281	−	0.433991i	−0.110854	−	0.0694941i
$40$	−0.230051	+	0.274165i	−0.0363743	+	0.0433492i
$41$	−1.78310	+	10.1124i	−0.278473	+	1.57930i	0.449238	+	0.893412i	$0.351696\pi$
$41$	−1.78310	+	10.1124i	−0.278473	+	1.57930i	−0.727710	+	0.685885i	$0.759415\pi$
$42$	4.55393	+	0.511566i	0.702687	+	0.0789363i
$43$	3.95923	+	3.32219i	0.603777	+	0.506629i	0.892657	−	0.450736i	$-0.148838\pi$
$43$	3.95923	+	3.32219i	0.603777	+	0.506629i	−0.288880	+	0.957365i	$0.593283\pi$
$44$	−2.65898	−	3.16885i	−0.400857	−	0.477723i
$45$	0.0780220	−	1.07085i	0.0116308	−	0.159633i
$46$	−1.40976	+	0.813926i	−0.207858	+	0.120007i
$47$	11.1693	−	1.96945i	1.62921	−	0.287273i	0.717023	−	0.697050i	$-0.245504\pi$
$47$	11.1693	−	1.96945i	1.62921	−	0.287273i	0.912186	+	0.409777i	$0.134393\pi$
$48$	1.60498	+	0.651180i	0.231659	+	0.0939897i
$49$	−6.14285	−	3.35639i	−0.877551	−	0.479484i
$50$	2.43596	+	4.21920i	0.344496	+	0.596685i
$51$	2.90362	+	3.72766i	0.406588	+	0.521977i
$52$	0.161343	+	0.443285i	0.0223742	+	0.0614726i
$53$	2.14506	+	12.1652i	0.294647	+	1.67102i	0.668636	+	0.743590i	$0.266879\pi$
$53$	2.14506	+	12.1652i	0.294647	+	1.67102i	−0.373989	+	0.927433i	$0.622010\pi$
$54$	−5.04726	+	1.23498i	−0.686845	+	0.168060i
$55$	1.39121	−	0.506358i	0.187590	−	0.0682773i
$56$	−1.89271	−	1.84869i	−0.252924	−	0.247041i
$57$	4.59651	−	5.98933i	0.608823	−	0.793306i
$58$	−0.0751346	−	0.130137i	−0.00986565	−	0.0170878i
$59$	−0.815616	+	4.62559i	−0.106184	+	0.602200i	0.884557	+	0.466433i	$0.154461\pi$
$59$	−0.815616	+	4.62559i	−0.106184	+	0.602200i	−0.990741	+	0.135767i	$0.956650\pi$
$60$	−0.415462	+	0.460066i	−0.0536360	+	0.0593943i
$61$	8.62379	+	3.13880i	1.10416	+	0.401882i	0.828849	−	0.559472i	$-0.188996\pi$
$61$	8.62379	+	3.13880i	1.10416	+	0.401882i	0.275314	+	0.961354i	$0.411218\pi$
$62$	0.572684	−	0.682499i	0.0727310	−	0.0866774i
$63$	7.85021	+	1.17225i	0.989034	+	0.147689i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	−0.168832			−0.0209411
$66$	−4.40290	−	5.65243i	−0.541959	−	0.695766i
$67$	−1.04404	−	1.24424i	−0.127550	−	0.152008i	0.698490	−	0.715620i	$-0.253856\pi$
$67$	−1.04404	−	1.24424i	−0.127550	−	0.152008i	−0.826040	+	0.563612i	$0.809411\pi$
$68$		−	2.72803i		−	0.330822i
$69$	−2.49142	+	1.32005i	−0.299932	+	0.158916i
$70$	0.853420	−	0.410249i	0.102003	−	0.0490341i
$71$	2.88214	+	2.41840i	0.342047	+	0.287012i	0.797587	−	0.603204i	$-0.206109\pi$
$71$	2.88214	+	2.41840i	0.342047	+	0.287012i	−0.455540	+	0.890215i	$0.650554\pi$
$72$	2.73706	+	1.22820i	0.322566	+	0.144745i
$73$	0.111567	+	0.0936159i	0.0130579	+	0.0109569i	0.649293	−	0.760538i	$-0.275065\pi$
$73$	0.111567	+	0.0936159i	0.0130579	+	0.0109569i	−0.636235	+	0.771495i	$0.719509\pi$
$74$	9.14748	+	1.61295i	1.06337	+	0.187501i
$75$	3.95071	+	7.45643i	0.456189	+	0.860995i
$76$	−4.21855	+	1.09721i	−0.483900	+	0.125859i
$77$	2.95684	+	10.5375i	0.336963	+	1.20086i
$78$	0.251354	+	0.777446i	0.0284602	+	0.0880284i
$79$	−1.27072	−	3.49128i	−0.142968	−	0.392800i	0.847455	−	0.530867i	$-0.178133\pi$
$79$	−1.27072	−	3.49128i	−0.142968	−	0.392800i	−0.990423	+	0.138067i	$0.955911\pi$
$80$	0.352459	−	0.0621481i	0.0394062	−	0.00694837i
$81$	−8.81410	+	1.81980i	−0.979344	+	0.202200i
$82$	7.86608	−	6.60042i	0.868663	−	0.728895i
$83$	3.58230	−	2.06824i	0.393208	−	0.227019i	−0.290341	−	0.956923i	$-0.593769\pi$
$83$	3.58230	−	2.06824i	0.393208	−	0.227019i	0.683549	+	0.729904i	$0.260435\pi$
$84$	−3.15969	−	3.31909i	−0.344750	−	0.362143i
$85$	0.917471	+	0.333932i	0.0995137	+	0.0362200i
$86$	−0.897485	−	5.08989i	−0.0967783	−	0.548857i
$87$	−0.121856	−	0.229986i	−0.0130643	−	0.0246571i
$88$			4.13664i			0.440968i
$89$	−6.96008	+	5.84020i	−0.737767	+	0.619060i	−0.932237	−	0.361848i	$-0.882146\pi$
$89$	−6.96008	+	5.84020i	−0.737767	+	0.619060i	0.194470	+	0.980908i	$0.437701\pi$
$90$	−0.748098	+	0.770168i	−0.0788565	+	0.0811828i
$91$	0.0941419	−	1.24454i	0.00986875	−	0.130463i
$92$	1.60312	+	0.282674i	0.167137	+	0.0294708i
$93$	1.03424	−	1.14528i	0.107246	−	0.118760i
$94$	−9.82211	−	5.67080i	−1.01307	−	0.584898i
$95$	0.147377	−	1.55306i	0.0151206	−	0.159340i
$96$	−0.810916	−	1.53049i	−0.0827638	−	0.156205i
$97$	5.26058	+	14.4533i	0.534131	+	1.46751i	0.854112	+	0.520089i	$0.174101\pi$
$97$	5.26058	+	14.4533i	0.534131	+	1.46751i	−0.319981	+	0.947424i	$0.603676\pi$
$98$	2.54826	+	6.51969i	0.257413	+	0.658588i
$99$	−7.26505	−	10.0611i	−0.730165	−	1.01118i
$100$	0.845998	−	4.79789i	0.0845998	−	0.479789i
$101$	2.80673	−	7.71144i	0.279280	−	0.767317i	−0.718164	−	0.695874i	$-0.755017\pi$
$101$	2.80673	−	7.71144i	0.279280	−	0.767317i	0.997445	−	0.0714431i	$-0.0227604\pi$
$102$	0.171793	−	4.72196i	0.0170100	−	0.467544i
$103$		−	15.4813i		−	1.52542i	−0.646743	−	0.762708i	$-0.723870\pi$
$103$		−	15.4813i		−	1.52542i	0.646743	−	0.762708i	$-0.276130\pi$
$104$	0.161343	−	0.443285i	0.0158210	−	0.0434677i
$105$	1.50302	−	0.656360i	0.146680	−	0.0640542i
$106$	6.17645	−	10.6979i	0.599910	−	1.03907i
$107$	2.07107	−	3.58720i	0.200218	−	0.346788i	−0.748380	−	0.663270i	$-0.769168\pi$
$107$	2.07107	−	3.58720i	0.200218	−	0.346788i	0.948599	+	0.316482i	$0.102502\pi$
$108$	4.66026	+	2.29826i	0.448433	+	0.221151i
$109$	−0.812831	−	2.23323i	−0.0778551	−	0.213905i	0.894659	−	0.446750i	$-0.147419\pi$
$109$	−0.812831	−	2.23323i	−0.0778551	−	0.213905i	−0.972514	+	0.232845i	$0.925196\pi$
$110$	−1.39121	−	0.506358i	−0.132646	−	0.0482793i
$111$	15.7319	+	3.36791i	1.49320	+	0.319668i
$112$	0.261588	+	2.63279i	0.0247177	+	0.248775i
$113$	−12.2857			−1.15574			−0.577870	−	0.816129i	$-0.696116\pi$
$113$	−12.2857			−1.15574			−0.577870	+	0.816129i	$0.696116\pi$
$114$	−7.37100	+	1.63351i	−0.690357	+	0.152993i
$115$	−0.291301	+	0.504549i	−0.0271640	+	0.0470494i
$116$	−0.0260940	+	0.147986i	−0.00242276	+	0.0137402i
$117$	0.386112	+	1.36151i	0.0356960	+	0.125872i
$118$	3.59807	−	3.01914i	0.331229	−	0.277934i
$119$	−2.97315	+	6.57688i	−0.272548	+	0.602902i
$120$	0.613988	−	0.0853770i	0.0560491	−	0.00779382i
$121$	3.05591	−	5.29300i	0.277810	−	0.481181i
$122$	−4.58862	−	7.94773i	−0.415434	−	0.719553i
$123$	14.0311	−	10.9294i	1.26514	−	0.985467i
$124$	−0.877403	+	0.154710i	−0.0787931	+	0.0138934i
$125$	3.05977	+	1.76656i	0.273675	+	0.158006i
$126$	−5.26011	−	5.94401i	−0.468607	−	0.529535i
$127$	−7.71873	+	1.36102i	−0.684926	+	0.120771i	−0.505274	−	0.862959i	$-0.668608\pi$
$127$	−7.71873	+	1.36102i	−0.684926	+	0.120771i	−0.179653	+	0.983730i	$0.557497\pi$
$128$	−0.173648	+	0.984808i	−0.0153485	+	0.0870455i
$129$	−1.23294	−	8.86664i	−0.108554	−	0.780664i
$130$	0.129333	+	0.108523i	0.0113432	+	0.00951812i
$131$	−10.8777	+	12.9635i	−0.950389	+	1.13263i	0.0406655	+	0.999173i	$0.487052\pi$
$131$	−10.8777	+	12.9635i	−0.950389	+	1.13263i	−0.991055	+	0.133457i	$0.957392\pi$
$132$	−0.260498	+	7.16014i	−0.0226734	+	0.623210i
$133$	11.3661	+	1.95238i	0.985566	+	0.169292i
$134$			1.62424i			0.140313i
$135$	−1.34339	+	1.28598i	−0.115620	+	0.110679i
$136$	−1.75354	+	2.08979i	−0.150365	+	0.179198i
$137$	−17.6059	+	3.10440i	−1.50418	+	0.265227i	−0.864193	−	0.503161i	$-0.832170\pi$
$137$	−17.6059	+	3.10440i	−1.50418	+	0.265227i	−0.639984	+	0.768388i	$0.721059\pi$
$138$	2.75705	+	0.590235i	0.234696	+	0.0502442i
$139$	2.93901	+	16.6679i	0.249283	+	1.41376i	0.810331	+	0.585973i	$0.199288\pi$
$139$	2.93901	+	16.6679i	0.249283	+	1.41376i	−0.561047	+	0.827784i	$0.689601\pi$
$140$	−0.917461	−	0.234299i	−0.0775396	−	0.0198018i
$141$	−16.6440	−	10.4341i	−1.40168	−	0.878714i
$142$	−0.653328	−	3.70521i	−0.0548261	−	0.310934i
$143$	−1.49486	+	1.25433i	−0.125006	+	0.104893i
$144$	−1.30724	−	2.70021i	−0.108937	−	0.225017i
$145$	−0.0465755	−	0.0268904i	−0.00386789	−	0.00223313i
$146$	−0.0252902	−	0.143428i	−0.00209303	−	0.0118702i
$147$	4.00022	+	11.4454i	0.329933	+	0.944004i
$148$	−5.97059	−	7.11548i	−0.490780	−	0.584889i
$149$	−2.63965	−	7.25238i	−0.216249	−	0.594138i	0.783376	−	0.621549i	$-0.213496\pi$
$149$	−2.63965	−	7.25238i	−0.216249	−	0.594138i	−0.999624	+	0.0274102i	$0.991274\pi$
$150$	1.76648	−	8.25143i	0.144233	−	0.673726i
$151$	−18.9939	−	10.9661i	−1.54570	−	0.892410i	−0.998462	−	0.0554327i	$-0.982346\pi$
$151$	−18.9939	−	10.9661i	−1.54570	−	0.892410i	−0.547237	−	0.836977i	$-0.684320\pi$
$152$	3.93687	+	1.87112i	0.319322	+	0.151768i
$153$	0.594714	−	8.16245i	0.0480798	−	0.659895i
$154$	4.50833	−	9.97285i	0.363292	−	0.803635i
$155$	0.0553701	−	0.314020i	0.00444744	−	0.0252227i
$156$	0.307184	−	0.757125i	0.0245944	−	0.0606185i
$157$	−6.71639	+	2.44456i	−0.536026	+	0.195097i	−0.595827	−	0.803113i	$-0.703176\pi$
$157$	−6.71639	+	2.44456i	−0.536026	+	0.195097i	0.0598011	+	0.998210i	$0.480953\pi$
$158$	−1.27072	+	3.49128i	−0.101093	+	0.277752i
$159$	11.3645	−	18.1282i	0.901266	−	1.43766i
$160$	−0.309948	−	0.178948i	−0.0245035	−	0.0141471i
$161$	−3.55682	−	2.42865i	−0.280317	−	0.191405i
$162$	7.92173	+	4.27155i	0.622390	+	0.335605i
$163$	−13.7635			−1.07804			−0.539022	−	0.842292i	$-0.681206\pi$
$163$	−13.7635			−1.07804			−0.539022	+	0.842292i	$0.681206\pi$
$164$	−10.2684			−0.801830
$165$	−2.37616	−	0.964066i	−0.184984	−	0.0750524i
$166$	−4.07364	−	0.718292i	−0.316176	−	0.0557503i
$167$	−9.35649	+	7.85102i	−0.724027	+	0.607531i	−0.928496	−	0.371342i	$-0.878898\pi$
$167$	−9.35649	+	7.85102i	−0.724027	+	0.607531i	0.204469	+	0.978873i	$0.434453\pi$
$168$	0.286988	+	4.57358i	0.0221416	+	0.352859i
$169$	−12.0069	+	4.37015i	−0.923607	+	0.336165i
$170$	−0.488176	−	0.845546i	−0.0374414	−	0.0648504i
$171$	−12.8614	+	2.36328i	−0.983534	+	0.180725i
$172$	−2.58421	+	4.47598i	−0.197044	+	0.341290i
$173$	−9.11843	−	7.65127i	−0.693261	−	0.581715i	0.226586	−	0.973991i	$-0.427243\pi$
$173$	−9.11843	−	7.65127i	−0.693261	−	0.581715i	−0.919848	+	0.392276i	$0.871688\pi$
$174$	−0.0544854	+	0.254507i	−0.00413052	+	0.0192941i
$175$	−7.26858	+	10.6450i	−0.549453	+	0.804688i
$176$	2.65898	−	3.16885i	0.200428	−	0.238861i
$177$	6.41804	−	4.99926i	0.482410	−	0.375768i
$178$	9.08574			0.681005
$179$	8.95575	+	15.5118i	0.669385	+	1.15941i	0.978076	+	0.208246i	$0.0667754\pi$
$179$	8.95575	+	15.5118i	0.669385	+	1.15941i	−0.308692	+	0.951162i	$0.599891\pi$
$180$	1.06813	−	0.109115i	0.0796138	−	0.00813293i
$181$	−2.98840	+	8.21056i	−0.222126	+	0.610286i	−0.999832	−	0.0183425i	$-0.994161\pi$
$181$	−2.98840	+	8.21056i	−0.222126	+	0.610286i	0.777706	+	0.628628i	$0.216383\pi$
$182$	−0.872090	+	0.892857i	−0.0646436	+	0.0661830i
$183$	−7.44198	−	14.0457i	−0.550127	−	1.03829i
$184$	−1.04636	−	1.24701i	−0.0771389	−	0.0919306i
$185$	3.12387	−	1.13700i	0.229672	−	0.0835937i
$186$	−1.52844	+	0.212535i	−0.112071	+	0.0155838i
$187$	10.6043	−	3.85966i	0.775465	−	0.282246i
$188$	3.87905	+	10.6576i	0.282909	+	0.777286i
$189$	−8.73043	−	10.6198i	−0.635046	−	0.772475i
$190$	−1.11118	+	1.09498i	−0.0806137	+	0.0794382i
$191$	11.4642	−	6.61887i	0.829522	−	0.478925i	−0.0241670	−	0.999708i	$-0.507693\pi$
$191$	11.4642	−	6.61887i	0.829522	−	0.478925i	0.853689	+	0.520783i	$0.174360\pi$
$192$	−0.362585	+	1.69367i	−0.0261673	+	0.122230i
$193$	−0.811290	+	0.966857i	−0.0583979	+	0.0695959i	−0.794453	−	0.607326i	$-0.792242\pi$
$193$	−0.811290	+	0.966857i	−0.0583979	+	0.0695959i	0.736055	+	0.676922i	$0.236687\pi$
$194$	5.26058	−	14.4533i	0.377688	−	1.03769i
$195$	0.217029	+	0.195988i	0.0155418	+	0.0140350i
$196$	2.23870	−	6.63236i	0.159907	−	0.473740i
$197$	11.9020	−	6.87160i	0.847980	−	0.489581i	−0.0119889	−	0.999928i	$-0.503816\pi$
$197$	11.9020	−	6.87160i	0.847980	−	0.489581i	0.859969	+	0.510347i	$0.170483\pi$
$198$	−0.901794	+	12.3771i	−0.0640877	+	0.879604i
$199$	4.83524	−	4.05725i	0.342761	−	0.287611i	−0.455114	−	0.890433i	$-0.650402\pi$
$199$	4.83524	−	4.05725i	0.342761	−	0.287611i	0.797876	+	0.602822i	$0.205957\pi$
$200$	−3.73210	+	3.13160i	−0.263899	+	0.221438i
$201$	−0.102283	+	2.81140i	−0.00721452	+	0.198301i
$202$	−7.10690	+	4.10317i	−0.500040	+	0.288698i
$203$	0.224192	−	0.328335i	0.0157352	−	0.0230446i
$204$	−3.16682	+	3.50681i	−0.221722	+	0.245526i
$205$	1.25694	−	3.45341i	0.0877883	−	0.241196i
$206$	−9.95117	+	11.8593i	−0.693331	+	0.826280i
$207$	4.73503	+	1.19526i	0.329107	+	0.0830764i
$208$	−0.408534	+	0.235867i	−0.0283267	+	0.0163545i
$209$	−10.2335	−	14.8459i	−0.707867	−	1.02691i
$210$	−1.57328	−	0.463324i	−0.108567	−	0.0319724i
$211$	−7.00396	−	19.2432i	−0.482172	−	1.32476i	−0.907627	−	0.419778i	$-0.862108\pi$
$211$	−7.00396	−	19.2432i	−0.482172	−	1.32476i	0.425455	−	0.904980i	$-0.360114\pi$
$212$	−11.6079	+	4.22494i	−0.797236	+	0.290170i
$213$	−0.897520	−	6.45451i	−0.0614971	−	0.442255i
$214$	−3.89234	+	1.41670i	−0.266075	+	0.0968434i
$215$	−1.18900	−	1.41700i	−0.0810892	−	0.0966383i
$216$	−2.09267	−	4.75613i	−0.142388	−	0.323613i
$217$	2.28390	+	0.583257i	0.155041	+	0.0395941i
$218$	−0.812831	+	2.23323i	−0.0550519	+	0.151254i
$219$	−0.0347428	−	0.249853i	−0.00234770	−	0.0168835i
$220$	0.740245	+	1.28214i	0.0499073	+	0.0864420i
$221$	−1.28691			−0.0865666
$222$	−9.88645	−	12.6922i	−0.663535	−	0.851845i
$223$	3.51154	−	4.18490i	0.235150	−	0.280241i	−0.635545	−	0.772064i	$-0.719225\pi$
$223$	3.51154	−	4.18490i	0.235150	−	0.280241i	0.870696	+	0.491822i	$0.163669\pi$
$224$	1.49194	−	2.18498i	0.0996841	−	0.145990i
$225$	3.57723	−	14.1712i	0.238482	−	0.944747i
$226$	9.41137	+	7.89708i	0.626035	+	0.525306i
$227$	−1.66728	+	2.88781i	−0.110661	+	0.191670i	−0.916037	−	0.401094i	$-0.868630\pi$
$227$	−1.66728	+	2.88781i	−0.110661	+	0.191670i	0.805376	+	0.592764i	$0.201963\pi$
$228$	6.69652	+	3.48664i	0.443488	+	0.230909i
$229$	0.135619	+	0.234898i	0.00896192	+	0.0155225i	0.870472	−	0.492219i	$-0.163814\pi$
$229$	0.135619	+	0.234898i	0.00896192	+	0.0155225i	−0.861510	+	0.507741i	$0.830481\pi$
$230$	0.547468	−	0.199262i	0.0360989	−	0.0131389i
$231$	8.43152	−	16.9782i	0.554753	−	1.11708i
$232$	0.115113	−	0.0965911i	0.00755753	−	0.00634152i
$233$	4.59936	+	0.810992i	0.301314	+	0.0531298i	0.322261	−	0.946651i	$-0.395557\pi$
$233$	4.59936	+	0.810992i	0.301314	+	0.0531298i	−0.0209471	+	0.999781i	$0.506668\pi$
$234$	0.579385	−	1.29117i	0.0378756	−	0.0844063i
$235$	−4.05912			−0.264788
$236$	−4.69695			−0.305745
$237$	−2.41936	+	5.96306i	−0.157154	+	0.387342i
$238$	6.50510	−	3.12708i	0.421663	−	0.202699i
$239$	18.7202	+	10.8081i	1.21091	+	0.699119i	0.962957	−	0.269654i	$-0.0869092\pi$
$239$	18.7202	+	10.8081i	1.21091	+	0.699119i	0.247952	+	0.968772i	$0.420243\pi$
$240$	−0.525221	−	0.329261i	−0.0339029	−	0.0212537i
$241$	7.61619	−	20.9253i	0.490602	−	1.34792i	−0.409528	−	0.912298i	$-0.634307\pi$
$241$	7.61619	−	20.9253i	0.490602	−	1.34792i	0.900130	−	0.435621i	$-0.143471\pi$
$242$	−5.74324	+	2.09037i	−0.369189	+	0.134374i
$243$	13.4428	+	7.89251i	0.862355	+	0.506304i
$244$	−1.59361	+	9.03782i	−0.102021	+	0.578587i
$245$	1.95651	+	1.56476i	0.124997	+	0.0999686i
$246$	−17.7737	−	0.646637i	−1.13321	−	0.0412280i
$247$	0.517592	+	1.99003i	0.0329336	+	0.126623i
$248$	0.771575	+	0.445469i	0.0489951	+	0.0282873i
$249$	−7.00585	−	1.49983i	−0.443978	−	0.0950476i
$250$	−1.20840	−	3.32005i	−0.0764259	−	0.209978i
$251$	−8.89978	−	10.6063i	−0.561749	−	0.669467i	0.408166	−	0.912908i	$-0.366168\pi$
$251$	−8.89978	−	10.6063i	−0.561749	−	0.669467i	−0.969916	+	0.243441i	$0.921724\pi$
$252$	0.208736	+	7.93451i	0.0131492	+	0.499827i
$253$	1.16932	+	6.63154i	0.0735145	+	0.416922i
$254$	6.78774	+	3.91890i	0.425900	+	0.245894i
$255$	−0.791740	−	1.49430i	−0.0495807	−	0.0935768i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	−2.48325	−	14.0832i	−0.154901	−	0.878485i	−0.958877	−	0.283823i	$-0.908397\pi$
$257$	−2.48325	−	14.0832i	−0.154901	−	0.878485i	0.803976	−	0.594662i	$-0.202714\pi$
$258$	−4.75488	+	7.58476i	−0.296026	+	0.472206i
$259$	6.63942	+	23.6614i	0.412553	+	1.47025i
$260$	−0.0293174	−	0.166267i	−0.00181819	−	0.0103115i
$261$	−0.110336	+	0.437096i	−0.00682964	+	0.0270556i
$262$	16.6656	−	2.93860i	1.02960	−	0.181547i
$263$	7.56514	−	9.01579i	0.466487	−	0.555937i	−0.480590	−	0.876946i	$-0.659577\pi$
$263$	7.56514	−	9.01579i	0.466487	−	0.555937i	0.947076	+	0.321008i	$0.104022\pi$
$264$	4.80200	−	5.31754i	0.295543	−	0.327272i
$265$		−	4.42106i		−	0.271584i
$266$	−7.45198	−	8.80159i	−0.456910	−	0.539660i
$267$	15.7266	+	0.572158i	0.962450	+	0.0350155i
$268$	1.04404	−	1.24424i	0.0637749	−	0.0760039i
$269$	5.83473	+	4.89592i	0.355750	+	0.298510i	0.803094	−	0.595852i	$-0.203186\pi$
$269$	5.83473	+	4.89592i	0.355750	+	0.298510i	−0.447344	+	0.894362i	$0.647630\pi$
$270$	1.85571	−	0.121604i	0.112935	−	0.00740056i
$271$	0.600730	−	3.40691i	0.0364917	−	0.206955i	−0.961110	−	0.276164i	$-0.910937\pi$
$271$	0.600730	−	3.40691i	0.0364917	−	0.206955i	0.997602	+	0.0692095i	$0.0220477\pi$
$272$	2.68658	−	0.473717i	0.162898	−	0.0287233i
$273$	−1.56573	+	1.49053i	−0.0947623	+	0.0902112i
$274$	15.4824	+	8.93877i	0.935326	+	0.540011i
$275$	19.8472	−	3.49959i	1.19683	−	0.211033i
$276$	−1.73263	−	2.22435i	−0.104292	−	0.133890i
$277$	−10.9744	−	19.0083i	−0.659389	−	1.14210i	−0.980774	−	0.195147i	$-0.937482\pi$
$277$	−10.9744	−	19.0083i	−0.659389	−	1.14210i	0.321385	−	0.946949i	$-0.395852\pi$
$278$	8.46254	−	14.6575i	0.507549	−	0.879101i
$279$	−2.65898	+	0.271627i	−0.159189	+	0.0162619i
$280$	0.552211	+	0.769215i	0.0330009	+	0.0459694i
$281$	−3.58360	+	3.00699i	−0.213779	+	0.179382i	−0.743389	−	0.668859i	$-0.766783\pi$
$281$	−3.58360	+	3.00699i	−0.213779	+	0.179382i	0.529610	+	0.848241i	$0.322338\pi$
$282$	6.04313	+	18.6916i	0.359863	+	1.11307i
$283$	−2.71612	+	15.4039i	−0.161457	+	0.915667i	0.791186	+	0.611576i	$0.209464\pi$
$283$	−2.71612	+	15.4039i	−0.161457	+	0.915667i	−0.952643	+	0.304091i	$0.901647\pi$
$284$	−1.88118	+	3.25830i	−0.111628	+	0.193345i
$285$	−1.99231	+	1.82533i	−0.118014	+	0.108123i
$286$	1.95140			0.115389
$287$	24.7557	+	11.1911i	1.46128	+	0.660589i
$288$	−0.734257	+	2.90876i	−0.0432665	+	0.171400i
$289$	−8.98145	−	3.26898i	−0.528320	−	0.192293i
$290$	0.0183941	+	0.0505374i	0.00108014	+	0.00296766i
$291$	10.0157	−	24.6861i	0.587133	−	1.44712i
$292$	−0.0728202	+	0.126128i	−0.00426148	+	0.00738110i
$293$	−13.5836	+	23.5276i	−0.793565	+	1.37449i	0.130182	+	0.991490i	$0.458444\pi$
$293$	−13.5836	+	23.5276i	−0.793565	+	1.37449i	−0.923747	+	0.383004i	$0.874890\pi$
$294$	4.29264	−	11.3390i	0.250352	−	0.661305i
$295$	0.574943	−	1.57964i	0.0334745	−	0.0919704i
$296$			9.28859i			0.539889i
$297$	−2.34035	+	21.3668i	−0.135801	+	1.23983i
$298$	−2.63965	+	7.25238i	−0.152911	+	0.420119i
$299$	0.133347	−	0.756248i	0.00771165	−	0.0437349i
$300$	−6.65712	+	5.18549i	−0.384349	+	0.299384i
$301$	11.1083	−	7.97452i	0.640272	−	0.459644i
$302$	7.50127	+	20.6096i	0.431649	+	1.18595i
$303$	−12.5598	+	6.65466i	−0.721539	+	0.382300i
$304$	−1.81308	−	3.96393i	−0.103988	−	0.227347i
$305$	−2.84446	−	1.64225i	−0.162874	−	0.0940351i
$306$	−5.70230	+	5.87053i	−0.325979	+	0.335596i
$307$	14.8249	+	2.61403i	0.846103	+	0.149191i	0.579861	−	0.814715i	$-0.303107\pi$
$307$	14.8249	+	2.61403i	0.846103	+	0.149191i	0.266242	+	0.963906i	$0.414218\pi$
$308$	−9.86401	+	4.74175i	−0.562054	+	0.270186i
$309$	−17.9714	+	19.9007i	−1.02235	+	1.13211i
$310$	−0.244264	+	0.204962i	−0.0138733	+	0.0116410i
$311$		−	13.5336i		−	0.767421i	−0.923454	−	0.383710i	$-0.874646\pi$
$311$		−	13.5336i		−	0.767421i	0.923454	−	0.383710i	$-0.125354\pi$
$312$	−0.721987	+	0.382537i	−0.0408745	+	0.0216569i
$313$	−1.88755	−	10.7048i	−0.106691	−	0.605072i	−0.990532	−	0.137285i	$-0.956162\pi$
$313$	−1.88755	−	10.7048i	−0.106691	−	0.605072i	0.883841	−	0.467787i	$-0.154949\pi$
$314$	6.71639	+	2.44456i	0.379028	+	0.137955i
$315$	−2.69403	−	0.901045i	−0.151791	−	0.0507682i
$316$	3.21758	−	1.85767i	0.181003	−	0.104502i
$317$	−14.8762	+	12.4826i	−0.835531	+	0.701094i	−0.956554	−	0.291556i	$-0.905827\pi$
$317$	−14.8762	+	12.4826i	−0.835531	+	0.701094i	0.121022	+	0.992650i	$0.461383\pi$
$318$	−20.3583	+	6.58199i	−1.14164	+	0.369099i
$319$	−0.612166	+	0.107941i	−0.0342747	+	0.00604356i
$320$	0.122408	+	0.336313i	0.00684281	+	0.0188005i
$321$	−6.82649	+	2.20706i	−0.381018	+	0.123186i
$322$	1.16358	+	4.14674i	0.0648436	+	0.231089i
$323$	1.12337	−	11.8380i	0.0625057	−	0.658685i
$324$	−3.32270	−	8.36419i	−0.184595	−	0.464677i
$325$	−2.26333	−	0.399087i	−0.125547	−	0.0221373i
$326$	10.5435	+	8.84703i	0.583950	+	0.489992i
$327$	−1.54757	+	3.81433i	−0.0855807	+	0.210933i
$328$	7.86608	+	6.60042i	0.434332	+	0.364447i
$329$	2.26339	−	29.9216i	0.124785	−	1.64963i
$330$	1.20055	+	2.26588i	0.0660883	+	0.124733i
$331$			17.4545i			0.959389i	0.877436	+	0.479694i	$0.159252\pi$
$331$			17.4545i			0.959389i	−0.877436	+	0.479694i	$0.840748\pi$
$332$	2.65888	+	3.16873i	0.145925	+	0.173906i
$333$	−16.3132	−	22.5916i	−0.893960	−	1.23801i
$334$	12.2140			0.668322
$335$	0.290654	+	0.503428i	0.0158801	+	0.0275052i
$336$	2.72000	−	3.68804i	0.148388	−	0.201199i
$337$	−23.2611	+	27.7215i	−1.26711	+	1.51009i	−0.504199	+	0.863587i	$0.668212\pi$
$337$	−23.2611	+	27.7215i	−1.26711	+	1.51009i	−0.762914	+	0.646500i	$0.776232\pi$
$338$	12.0069	+	4.37015i	0.653089	+	0.237705i
$339$	15.7929	+	14.2618i	0.857752	+	0.774593i
$340$	−0.169542	+	0.961519i	−0.00919470	+	0.0521457i
$341$	−1.84275	−	3.19173i	−0.0997904	−	0.172842i
$342$	11.3715	+	6.45675i	0.614899	+	0.349141i
$343$	−12.6255	+	13.5498i	−0.681712	+	0.731621i
$344$	4.85672	−	1.76770i	0.261857	−	0.0953080i
$345$	0.960163	−	0.310428i	0.0516934	−	0.0167129i
$346$	2.06698	+	11.7224i	0.111122	+	0.630202i
$347$	−3.38849	−	9.30981i	−0.181904	−	0.499777i	0.814906	−	0.579594i	$-0.196789\pi$
$347$	−3.38849	−	9.30981i	−0.181904	−	0.499777i	−0.996810	+	0.0798168i	$0.974566\pi$
$348$	0.205332	−	0.159941i	0.0110070	−	0.00857374i
$349$	16.0504	+	27.8002i	0.859161	+	1.48811i	0.872731	+	0.488202i	$0.162347\pi$
$349$	16.0504	+	27.8002i	0.859161	+	1.48811i	−0.0135697	+	0.999908i	$0.504319\pi$
$350$	12.4105	−	3.48240i	0.663371	−	0.186142i
$351$	1.08417	−	2.19840i	0.0578687	−	0.117342i
$352$	−4.07380	+	0.718321i	−0.217134	+	0.0382866i
$353$	15.4080	−	8.89581i	0.820085	−	0.473476i	−0.0303606	−	0.999539i	$-0.509666\pi$
$353$	15.4080	−	8.89581i	0.820085	−	0.473476i	0.850446	+	0.526063i	$0.176332\pi$
$354$	−8.12997	−	0.295782i	−0.432103	−	0.0157206i
$355$	−0.865538	−	1.03151i	−0.0459380	−	0.0547467i
$356$	−6.96008	−	5.84020i	−0.368884	−	0.309530i
$357$	11.4566	−	5.00304i	0.606350	−	0.264789i
$358$	3.11030	−	17.6394i	0.164385	−	0.932271i
$359$	−0.603010	+	0.718639i	−0.0318256	+	0.0379283i	−0.781722	−	0.623626i	$-0.785659\pi$
$359$	−0.603010	+	0.718639i	−0.0318256	+	0.0379283i	0.749897	+	0.661555i	$0.230103\pi$
$360$	−0.888373	−	0.602995i	−0.0468214	−	0.0317806i
$361$	−18.7578	+	3.02410i	−0.987252	+	0.159163i
$362$	7.56689	−	4.36875i	0.397707	−	0.229616i
$363$	−10.0726	+	3.25656i	−0.528676	+	0.170925i
$364$	1.24198	−	0.123400i	0.0650973	−	0.00646791i
$365$	−0.0335048	−	0.0399295i	−0.00175372	−	0.00209000i
$366$	−3.32753	+	15.5433i	−0.173933	+	0.812459i
$367$	−7.52604	−	2.73926i	−0.392856	−	0.142988i	0.138036	−	0.990427i	$-0.455921\pi$
$367$	−7.52604	−	2.73926i	−0.392856	−	0.142988i	−0.530892	+	0.847439i	$0.678143\pi$
$368$			1.62785i			0.0848577i
$369$	−30.7239	−	2.23853i	−1.59942	−	0.116533i
$370$	−3.12387	−	1.13700i	−0.162402	−	0.0591096i
$371$	32.5896	+	2.46521i	1.69197	+	0.127987i
$372$	1.30747	+	0.819654i	0.0677892	+	0.0424971i
$373$	25.7974	+	14.8941i	1.33574	+	0.771189i	0.986172	−	0.165722i	$-0.0529956\pi$
$373$	25.7974	+	14.8941i	1.33574	+	0.771189i	0.349566	+	0.936912i	$0.386329\pi$
$374$	−10.6043	−	3.85966i	−0.548337	−	0.199578i
$375$	−1.88255	−	5.82279i	−0.0972145	−	0.300688i
$376$	3.87905	−	10.6576i	0.200047	−	0.549624i
$377$	0.0698102	+	0.0123094i	0.00359541	+	0.000633967i
$378$	−0.138359	+	13.7470i	−0.00711640	+	0.707071i
$379$		−	20.1744i		−	1.03629i	−0.855293	−	0.518144i	$-0.826623\pi$
$379$		−	20.1744i		−	1.03629i	0.855293	−	0.518144i	$-0.173377\pi$
$380$	1.55506	−	0.124548i	0.0797727	−	0.00638916i
$381$	11.5021	+	7.21069i	0.589273	+	0.369415i
$382$	−13.0366	−	2.29871i	−0.667012	−	0.117612i
$383$	−26.8910	+	9.78751i	−1.37406	+	0.500119i	−0.920373	−	0.391041i	$-0.872115\pi$
$383$	−26.8910	+	9.78751i	−1.37406	+	0.500119i	−0.453691	+	0.891159i	$0.649893\pi$
$384$	1.36643	−	1.06436i	0.0697303	−	0.0543156i
$385$	−0.387278	−	3.89782i	−0.0197375	−	0.198651i
$386$	1.24297	−	0.219169i	0.0632654	−	0.0111554i
$387$	−8.70789	+	12.8291i	−0.442647	+	0.652138i
$388$	−13.3203	+	7.69046i	−0.676234	+	0.390424i
$389$	−1.07764	−	1.28428i	−0.0546384	−	0.0651155i	0.738033	−	0.674765i	$-0.235755\pi$
$389$	−1.07764	−	1.28428i	−0.0546384	−	0.0651155i	−0.792671	+	0.609649i	$0.791310\pi$
$390$	−0.0402753	−	0.289639i	−0.00203942	−	0.0146664i
$391$	−2.22041	+	3.84587i	−0.112291	+	0.194494i
$392$	−5.97814	+	3.64167i	−0.301942	+	0.183932i
$393$	29.0316	−	4.03695i	1.46445	−	0.203637i
$394$	−13.5344	−	2.38648i	−0.681854	−	0.120229i
$395$	0.230902	+	1.30951i	0.0116179	+	0.0658885i
$396$	8.64668	−	8.90176i	0.434512	−	0.447331i
$397$	16.5935	+	13.9236i	0.832806	+	0.698808i	0.955933	−	0.293583i	$-0.0948478\pi$
$397$	16.5935	+	13.9236i	0.832806	+	0.698808i	−0.123127	+	0.992391i	$0.539292\pi$
$398$	−6.31196			−0.316390
$399$	−12.3444	−	15.7040i	−0.617993	−	0.786184i
$400$	4.87191			0.243596
$401$	−14.0396	−	11.7806i	−0.701103	−	0.588295i	0.220984	−	0.975277i	$-0.429073\pi$
$401$	−14.0396	−	11.7806i	−0.701103	−	0.588295i	−0.922087	+	0.386982i	$0.873517\pi$
$402$	1.88549	−	2.08791i	0.0940396	−	0.104136i
$403$	0.0729820	+	0.413901i	0.00363549	+	0.0206179i
$404$	8.08167	+	1.42502i	0.402078	+	0.0708972i
$405$	3.21971	−	0.0936246i	0.159989	−	0.00465225i
$406$	−0.382790	+	0.107411i	−0.0189976	+	0.00533073i
$407$	19.2118	−	33.2758i	0.952294	−	1.64942i
$408$	4.68006	−	0.650777i	0.231697	−	0.0322183i
$409$	3.64804	+	4.34757i	0.180384	+	0.214973i	0.848658	−	0.528942i	$-0.177411\pi$
$409$	3.64804	+	4.34757i	0.180384	+	0.214973i	−0.668274	+	0.743915i	$0.732967\pi$
$410$	−3.18268	+	1.83752i	−0.157181	+	0.0907486i
$411$	26.2357	+	16.4471i	1.29411	+	0.811278i
$412$	15.2461	−	2.68829i	0.751120	−	0.132443i
$413$	11.3237	+	5.11898i	0.557201	+	0.251888i
$414$	−2.85894	−	3.95924i	−0.140509	−	0.194586i
$415$	−1.39115	+	0.506337i	−0.0682889	+	0.0248551i
$416$	0.464568	+	0.0819158i	0.0227773	+	0.00401625i
$417$	15.5709	−	24.8379i	0.762510	−	1.21632i
$418$	−1.70341	+	17.9506i	−0.0833167	+	0.877991i
$419$		−	27.3117i		−	1.33426i	−0.744940	−	0.667131i	$-0.767522\pi$
$419$		−	27.3117i		−	1.33426i	0.744940	−	0.667131i	$-0.232478\pi$
$420$	0.907386	+	1.36621i	0.0442759	+	0.0666644i
$421$	34.7533	+	6.12794i	1.69377	+	0.298658i	0.935512	−	0.353295i	$-0.114939\pi$
$421$	34.7533	+	6.12794i	1.69377	+	0.298658i	0.758260	+	0.651952i	$0.226050\pi$
$422$	−7.00396	+	19.2432i	−0.340947	+	0.936745i
$423$	9.28302	+	32.7340i	0.451356	+	1.59158i
$424$	11.6079	+	4.22494i	0.563731	+	0.205181i
$425$	11.5101	+	6.64536i	0.558322	+	0.322347i
$426$	−3.46134	+	5.52135i	−0.167702	+	0.267510i
$427$	13.6919	−	20.0521i	0.662595	−	0.970388i
$428$	3.89234	+	1.41670i	0.188144	+	0.0684787i
$429$	3.37769	+	0.122886i	0.163076	+	0.00593298i
$430$			1.84976i			0.0892032i
$431$	−19.1848	−	6.98269i	−0.924098	−	0.336344i	−0.164231	−	0.986422i	$-0.552514\pi$
$431$	−19.1848	−	6.98269i	−0.924098	−	0.336344i	−0.759868	+	0.650078i	$0.774736\pi$
$432$	−1.45410	+	4.98855i	−0.0699606	+	0.240011i
$433$	12.8146	+	15.2718i	0.615829	+	0.733917i	0.980347	−	0.197280i	$-0.0632107\pi$
$433$	12.8146	+	15.2718i	0.615829	+	0.733917i	−0.364518	+	0.931196i	$0.618766\pi$
$434$	−1.37466	−	1.91487i	−0.0659858	−	0.0919165i
$435$	0.0286560	+	0.0886339i	0.00137395	+	0.00424967i
$436$	2.05816	−	1.18828i	0.0985680	−	0.0569083i
$437$	6.84019	+	1.88678i	0.327211	+	0.0902569i
$438$	−0.133988	+	0.213730i	−0.00640218	+	0.0102124i
$439$	−26.0256	+	31.0161i	−1.24213	+	1.48032i	−0.423610	+	0.905845i	$0.639237\pi$
$439$	−26.0256	+	31.0161i	−1.24213	+	1.48032i	−0.818524	+	0.574473i	$0.805207\pi$
$440$	0.257085	−	1.45800i	0.0122560	−	0.0695074i
$441$	8.14421	−	19.3564i	0.387820	−	0.921735i
$442$	0.985827	+	0.827207i	0.0468910	+	0.0393462i
$443$	−1.37280	−	1.63604i	−0.0652236	−	0.0777305i	0.732446	−	0.680825i	$-0.238379\pi$
$443$	−1.37280	−	1.63604i	−0.0652236	−	0.0777305i	−0.797670	+	0.603095i	$0.793934\pi$
$444$	−0.584933	+	16.0777i	−0.0277597	+	0.763013i
$445$	2.81610	−	1.62588i	0.133496	−	0.0770740i
$446$	−5.38000	+	0.948639i	−0.254750	+	0.0449194i
$447$	−5.02569	+	12.3870i	−0.237707	+	0.585883i
$448$	−2.54737	+	0.714792i	−0.120352	+	0.0337708i
$449$	−7.33594	−	12.7062i	−0.346205	−	0.599644i	0.639367	−	0.768901i	$-0.279196\pi$
$449$	−7.33594	−	12.7062i	−0.346205	−	0.599644i	−0.985572	+	0.169258i	$0.945863\pi$
$450$	−11.8494	+	8.55637i	−0.558586	+	0.403351i
$451$	−14.5279	−	39.9152i	−0.684094	−	1.87953i
$452$	−2.13339	−	12.0990i	−0.100346	−	0.569090i
$453$	11.6861	+	36.1456i	0.549063	+	1.69827i
$454$	3.13345	−	1.14048i	0.147060	−	0.0535256i
$455$	−0.110527	+	0.432798i	−0.00518157	+	0.0202899i
$456$	−2.88866	−	6.97536i	−0.135274	−	0.326651i
$457$	4.18824	+	7.25424i	0.195917	+	0.339339i	0.947201	−	0.320641i	$-0.103898\pi$
$457$	4.18824	+	7.25424i	0.195917	+	0.339339i	−0.751283	+	0.659980i	$0.770565\pi$
$458$	0.0470998	−	0.267116i	0.00220083	−	0.0124815i
$459$	−10.2398	+	9.80223i	−0.477954	+	0.457529i
$460$	−0.547468	−	0.199262i	−0.0255258	−	0.00929063i
$461$	−0.251694	+	0.299957i	−0.0117226	+	0.0139704i	−0.771874	−	0.635776i	$-0.780680\pi$
$461$	−0.251694	+	0.299957i	−0.0117226	+	0.0139704i	0.760151	+	0.649746i	$0.225125\pi$
$462$	−17.3723	+	7.58635i	−0.808231	+	0.352949i
$463$	−6.23711	−	10.8030i	−0.289863	−	0.502057i	0.683914	−	0.729563i	$-0.260276\pi$
$463$	−6.23711	−	10.8030i	−0.289863	−	0.502057i	−0.973777	+	0.227505i	$0.926943\pi$
$464$	−0.150269			−0.00697607
$465$	−0.435705	+	0.339387i	−0.0202053	+	0.0157387i
$466$	−3.00202	−	3.57767i	−0.139066	−	0.165732i
$467$			14.5604i			0.673775i	0.941545	+	0.336887i	$0.109374\pi$
$467$			14.5604i			0.673775i	−0.941545	+	0.336887i	$0.890626\pi$
$468$	−1.27378	+	0.616670i	−0.0588806	+	0.0285056i
$469$	−3.87306	+	1.86183i	−0.178841	+	0.0859712i
$470$	3.10946	+	2.60915i	0.143429	+	0.120351i
$471$	11.4715	+	4.65426i	0.528578	+	0.214457i
$472$	3.59807	+	3.01914i	0.165615	+	0.138967i
$473$	−21.0551	−	3.71258i	−0.968113	−	0.170704i
$474$	5.68632	−	3.01283i	0.261181	−	0.138384i
$475$	5.64684	−	20.4716i	0.259095	−	0.939303i
$476$	−6.99325	−	1.78592i	−0.320535	−	0.0818574i
$477$	−35.6528	+	10.1108i	−1.63243	+	0.462940i
$478$	−7.39318	−	20.3126i	−0.338156	−	0.929077i
$479$	14.0193	−	2.47198i	0.640558	−	0.112948i	0.156070	−	0.987746i	$-0.450117\pi$
$479$	14.0193	−	2.47198i	0.640558	−	0.112948i	0.484487	+	0.874798i	$0.339006\pi$
$480$	0.190698	+	0.589834i	0.00870412	+	0.0269221i
$481$	−3.35662	+	2.81653i	−0.153048	+	0.128423i
$482$	−19.2849	+	11.1341i	−0.878402	+	0.507146i
$483$	1.75291	+	7.25088i	0.0797601	+	0.329927i
$484$	5.74324	+	2.09037i	0.261056	+	0.0950167i
$485$	−0.955894	−	5.42115i	−0.0434049	−	0.246162i
$486$	−5.22456	−	14.6869i	−0.236991	−	0.666210i
$487$			32.2098i			1.45956i	0.683680	+	0.729782i	$0.260378\pi$
$487$			32.2098i			1.45956i	−0.683680	+	0.729782i	$0.739622\pi$
$488$	7.03018	−	5.89902i	0.318241	−	0.267036i
$489$	17.6927	+	15.9773i	0.800089	+	0.722520i
$490$	−0.492970	−	2.45630i	−0.0222701	−	0.110964i
$491$	−20.9837	−	3.69998i	−0.946979	−	0.166978i	−0.321229	−	0.947002i	$-0.604096\pi$
$491$	−20.9837	−	3.69998i	−0.946979	−	0.166978i	−0.625750	+	0.780024i	$0.715207\pi$
$492$	13.1998	+	11.9201i	0.595092	+	0.537398i
$493$	−0.355017	−	0.204969i	−0.0159892	−	0.00923135i
$494$	0.882670	−	1.85716i	0.0397132	−	0.0835574i
$495$	1.93536	+	3.99763i	0.0869878	+	0.179680i
$496$	−0.304719	−	0.837208i	−0.0136823	−	0.0375918i
$497$	8.08633	−	5.80509i	0.362721	−	0.260394i
$498$	4.40272	+	5.65221i	0.197291	+	0.253281i
$499$	−3.64970	+	20.6985i	−0.163383	+	0.926591i	0.787333	+	0.616528i	$0.211461\pi$
$499$	−3.64970	+	20.6985i	−0.163383	+	0.926591i	−0.950716	+	0.310063i	$0.899650\pi$
$500$	−1.20840	+	3.32005i	−0.0540413	+	0.148477i
$501$	21.1413	+	0.769157i	0.944525	+	0.0343634i
$502$			13.8456i			0.617960i
$503$	7.87755	−	21.6434i	0.351243	−	0.965032i	−0.630729	−	0.776003i	$-0.717244\pi$
$503$	7.87755	−	21.6434i	0.351243	−	0.965032i	0.981972	−	0.189028i	$-0.0605338\pi$
$504$	4.94030	−	6.21236i	0.220059	−	0.276720i
$505$	−1.46851	+	2.54354i	−0.0653479	+	0.113186i
$506$	3.36692	−	5.83168i	0.149678	−	0.259250i
$507$	20.5076	+	8.32043i	0.910774	+	0.369523i
$508$	−2.68069	−	7.36513i	−0.118936	−	0.326775i
$509$	−33.9140	−	12.3437i	−1.50321	−	0.547124i	−0.546322	−	0.837575i	$-0.683972\pi$
$509$	−33.9140	−	12.3437i	−1.50321	−	0.547124i	−0.956890	+	0.290451i	$0.906195\pi$
$510$	−0.354011	+	1.65362i	−0.0156759	+	0.0732236i
$511$	0.313020	−	0.224714i	0.0138472	−	0.00994075i
$512$	−1.00000			−0.0441942
$513$	19.2763	+	11.8921i	0.851071	+	0.525050i
$514$	−7.15022	+	12.3845i	−0.315383	+	0.546259i
$515$	−0.962132	+	5.45652i	−0.0423966	+	0.240443i
$516$	8.51784	−	2.75388i	0.374977	−	0.121233i
$517$	−35.9399	+	30.1571i	−1.58063	+	1.32631i
$518$	10.1232	−	22.3935i	0.444788	−	0.983912i
$519$	2.83955	+	20.4206i	0.124642	+	0.896364i
$520$	−0.0844161	+	0.146213i	−0.00370189	+	0.00641186i
$521$	−4.69386	−	8.13000i	−0.205642	−	0.356182i	0.744695	−	0.667405i	$-0.232595\pi$
$521$	−4.69386	−	8.13000i	−0.205642	−	0.356182i	−0.950337	+	0.311223i	$0.899261\pi$
$522$	0.365483	−	0.263913i	0.0159967	−	0.0115511i
$523$	−13.7017	+	2.41597i	−0.599132	+	0.105643i	−0.464985	−	0.885318i	$-0.653940\pi$
$523$	−13.7017	+	2.41597i	−0.599132	+	0.105643i	−0.134146	+	0.990962i	$0.542829\pi$
$524$	−14.6555	−	8.46135i	−0.640228	−	0.369636i
$525$	21.7008	−	5.24618i	0.947099	−	0.228962i
$526$	−11.5905	+	2.04371i	−0.505369	+	0.0891101i
$527$	0.422053	−	2.39358i	0.0183849	−	0.104266i
$528$	−7.09660	+	0.986805i	−0.308840	+	0.0429452i
$529$	15.5891	+	13.0808i	0.677786	+	0.568730i
$530$	−2.84180	+	3.38673i	−0.123440	+	0.147110i
$531$	−14.0536	−	1.02394i	−0.609874	−	0.0444353i
$532$	0.0509881	+	11.5324i	0.00221061	+	0.499995i
$533$			4.84398i			0.209816i
$534$	−11.6795	−	10.5471i	−0.505420	−	0.456419i
$535$	−0.952907	+	1.13563i	−0.0411978	+	0.0490976i
$536$	−1.59956	+	0.282046i	−0.0690905	+	0.0121825i
$537$	6.49445	−	30.3363i	0.280256	−	1.30911i
$538$	−1.32263	−	7.50099i	−0.0570225	−	0.323391i
$539$	28.9485	−	0.681350i	1.24690	−	0.0293478i
$540$	−1.49972	−	1.09967i	−0.0645376	−	0.0473223i
$541$	−6.64723	−	37.6983i	−0.285787	−	1.62078i	−0.702462	−	0.711721i	$-0.747916\pi$
$541$	−6.64723	−	37.6983i	−0.285787	−	1.62078i	0.416675	−	0.909055i	$-0.363195\pi$
$542$	−2.65010	+	2.22370i	−0.113832	+	0.0955161i
$543$	13.3727	−	7.08538i	0.573877	−	0.304063i
$544$	−2.36254	−	1.36401i	−0.101293	−	0.0584816i
$545$	0.147699	+	0.837640i	0.00632671	+	0.0358806i
$546$	2.15752	−	0.135382i	0.0923331	−	0.00579383i
$547$	4.97691	+	5.93125i	0.212797	+	0.253602i	0.861876	−	0.507120i	$-0.169290\pi$
$547$	4.97691	+	5.93125i	0.212797	+	0.253602i	−0.649078	+	0.760721i	$0.724845\pi$
$548$	−6.11448	−	16.7994i	−0.261198	−	0.717635i
$549$	−6.73845	+	26.6944i	−0.287590	+	1.13929i
$550$	−17.4533	−	10.0767i	−0.744212	−	0.429671i
$551$	−0.174171	+	0.631427i	−0.00741993	+	0.0268997i
$552$	−0.102511	+	2.81766i	−0.00436316	+	0.119928i
$553$	−9.78172	+	0.971888i	−0.415961	+	0.0413289i
$554$	−3.81138	+	21.6154i	−0.161930	+	0.918350i
$555$	−5.33553	−	2.16475i	−0.226481	−	0.0918887i
$556$	−15.9044	+	5.78872i	−0.674496	+	0.245496i
$557$	−5.36352	+	14.7361i	−0.227260	+	0.624391i	−0.999946	−	0.0103974i	$-0.996690\pi$
$557$	−5.36352	+	14.7361i	−0.227260	+	0.624391i	0.772686	+	0.634788i	$0.218913\pi$
$558$	2.21149	+	1.50108i	0.0936200	+	0.0635458i
$559$	2.11147	+	1.21906i	0.0893057	+	0.0515607i
$560$	0.0714238	−	0.944208i	0.00301820	−	0.0399001i
$561$	−18.1120	−	7.34849i	−0.764691	−	0.310254i
$562$	4.67805			0.197332
$563$	29.7001			1.25171			0.625855	−	0.779940i	$-0.284750\pi$
$563$	29.7001			1.25171			0.625855	+	0.779940i	$0.284750\pi$
$564$	7.38542	−	18.2030i	0.310982	−	0.766487i
$565$	4.33020	+	0.763531i	0.182173	+	0.0321220i
$566$	11.9821	−	10.0542i	0.503646	−	0.422609i
$567$	−1.10518	+	23.7861i	−0.0464132	+	0.998922i
$568$	3.53547	−	1.28680i	0.148345	−	0.0539931i
$569$	15.4047	+	26.6817i	0.645798	+	1.11855i	0.984117	+	0.177523i	$0.0568085\pi$
$569$	15.4047	+	26.6817i	0.645798	+	1.11855i	−0.338319	+	0.941032i	$0.609858\pi$
$570$	2.69950	−	0.117654i	0.113069	−	0.00492796i
$571$	0.717775	−	1.24322i	0.0300379	−	0.0520272i	−0.850616	−	0.525788i	$-0.823771\pi$
$571$	0.717775	−	1.24322i	0.0300379	−	0.0520272i	0.880654	+	0.473761i	$0.157104\pi$
$572$	−1.49486	−	1.25433i	−0.0625031	−	0.0524464i
$573$	−22.4204	−	4.79981i	−0.936627	−	0.200515i
$574$	−11.7705	−	24.4855i	−0.491291	−	1.02201i
$575$	−5.09779	+	6.07531i	−0.212592	+	0.253358i
$576$	2.43219	−	1.75627i	0.101341	−	0.0731777i
$577$	39.8882			1.66057			0.830283	−	0.557342i	$-0.188179\pi$
$577$	39.8882			1.66057			0.830283	+	0.557342i	$0.188179\pi$
$578$	4.77893	+	8.27735i	0.198777	+	0.344292i
$579$	2.16526	−	0.301087i	0.0899852	−	0.0125127i
$580$	0.0183941	−	0.0505374i	0.000763774	−	0.00209845i
$581$	−2.95672	−	10.5371i	−0.122666	−	0.437154i
$582$	−23.5404	+	12.4726i	−0.975781	+	0.517007i
$583$	−32.8462	−	39.1445i	−1.36035	−	1.62120i
$584$	0.136857	−	0.0498120i	0.00566319	−	0.00206123i
$585$	−0.0514732	−	0.503874i	−0.00212815	−	0.0208326i
$586$	25.5289	−	9.29176i	1.05459	−	0.383839i
$587$	−4.14049	−	11.3759i	−0.170896	−	0.469534i	0.824446	−	0.565941i	$-0.191487\pi$
$587$	−4.14049	−	11.3759i	−0.170896	−	0.469534i	−0.995342	+	0.0964072i	$0.969265\pi$
$588$	−10.5769	+	5.92693i	−0.436185	+	0.244423i
$589$	−3.87111	+	0.310046i	−0.159507	+	0.0127752i
$590$	−1.45581	+	0.840511i	−0.0599346	+	0.0346033i
$591$	−23.2765	−	4.98308i	−0.957468	−	0.204977i
$592$	5.97059	−	7.11548i	0.245390	−	0.292444i
$593$	7.56664	−	20.7892i	0.310725	−	0.853709i	−0.681786	−	0.731551i	$-0.738797\pi$
$593$	7.56664	−	20.7892i	0.310725	−	0.853709i	0.992511	−	0.122157i	$-0.0389812\pi$
$594$	15.5272	−	14.8636i	0.637087	−	0.609861i
$595$	1.45665	−	2.13331i	0.0597170	−	0.0874571i
$596$	6.68383	−	3.85891i	0.273780	−	0.158067i
$597$	−10.9254	−	0.397485i	−0.447147	−	0.0162680i
$598$	−0.588256	+	0.493606i	−0.0240556	+	0.0201850i
$599$	−31.0517	+	26.0555i	−1.26874	+	1.06460i	−0.274044	+	0.961717i	$0.588361\pi$
$599$	−31.0517	+	26.0555i	−1.26874	+	1.06460i	−0.994694	+	0.102881i	$0.967194\pi$
$600$	8.43282	+	0.306800i	0.344268	+	0.0125251i
$601$	35.7458	−	20.6378i	1.45810	−	0.841834i	0.459182	−	0.888342i	$-0.348143\pi$
$601$	35.7458	−	20.6378i	1.45810	−	0.841834i	0.998918	+	0.0465082i	$0.0148094\pi$
$602$	−13.6354	−	1.03144i	−0.555736	−	0.0420382i
$603$	3.39508	−	3.49524i	0.138258	−	0.142337i
$604$	7.50127	−	20.6096i	0.305222	−	0.838591i
$605$	−1.40603	+	1.67565i	−0.0571634	+	0.0681247i
$606$	13.8989	+	2.97550i	0.564603	+	0.120871i
$607$	1.44885	−	0.836493i	0.0588070	−	0.0339522i	−0.470308	−	0.882502i	$-0.655857\pi$
$607$	1.44885	−	0.836493i	0.0588070	−	0.0339522i	0.529115	+	0.848550i	$0.322524\pi$
$608$	−1.15906	+	4.20197i	−0.0470061	+	0.170413i
$609$	−0.669338	+	0.161813i	−0.0271230	+	0.00655700i
$610$	1.12337	+	3.08642i	0.0454838	+	0.124966i
$611$	5.02756	−	1.82988i	0.203393	−	0.0740292i
$612$	8.14172	−	0.831716i	0.329109	−	0.0336201i
$613$	−12.0751	+	4.39496i	−0.487707	+	0.177511i	−0.574157	−	0.818745i	$-0.694670\pi$
$613$	−12.0751	+	4.39496i	−0.487707	+	0.177511i	0.0864496	+	0.996256i	$0.472448\pi$
$614$	−9.67628	−	11.5317i	−0.390503	−	0.465383i
$615$	−5.62463	+	2.98015i	−0.226807	+	0.120171i
$616$	10.6042	+	2.70807i	0.427256	+	0.109111i
$617$	13.7660	−	37.8218i	0.554199	−	1.52265i	−0.273726	−	0.961808i	$-0.588256\pi$
$617$	13.7660	−	37.8218i	0.554199	−	1.52265i	0.827924	−	0.560840i	$-0.189522\pi$
$618$	26.5588	−	3.69309i	1.06835	−	0.148558i
$619$	−1.52763	−	2.64593i	−0.0614006	−	0.106349i	0.833691	−	0.552231i	$-0.186223\pi$
$619$	−1.52763	−	2.64593i	−0.0614006	−	0.106349i	−0.895092	+	0.445882i	$0.852890\pi$
$620$	0.318864			0.0128059
$621$	−4.69923	−	7.03311i	−0.188574	−	0.282229i
$622$	−8.69924	+	10.3673i	−0.348808	+	0.415693i
$623$	10.4148	+	21.6653i	0.417260	+	0.868003i
$624$	0.798964	+	0.171044i	0.0319842	+	0.00684724i
$625$	17.6918	+	14.8452i	0.707674	+	0.593809i
$626$	−5.43498	+	9.41367i	−0.217226	+	0.376246i
$627$	−4.07885	+	30.9635i	−0.162894	+	1.23656i
$628$	−3.57371	−	6.18985i	−0.142607	−	0.247002i
$629$	23.8114	−	8.66664i	0.949423	−	0.345562i
$630$	1.48456	+	2.42193i	0.0591465	+	0.0964919i
$631$	5.51363	−	4.62648i	0.219494	−	0.184177i	−0.526410	−	0.850231i	$-0.676462\pi$
$631$	5.51363	−	4.62648i	0.219494	−	0.184177i	0.745904	+	0.666054i	$0.232018\pi$
$632$	−3.65890	−	0.645163i	−0.145543	−	0.0256632i
$633$	−13.3350	+	32.8671i	−0.530018	+	1.30635i
$634$	19.4195			0.771248
$635$	2.80512			0.111318
$636$	19.8262	+	8.04396i	0.786159	+	0.318964i
$637$	−3.12871	−	1.05607i	−0.123964	−	0.0418431i
$638$	0.538330	+	0.310805i	0.0213127	+	0.0123049i
$639$	−6.33894	+	9.33897i	−0.250765	+	0.369444i
$640$	0.122408	−	0.336313i	0.00483859	−	0.0132939i
$641$	−10.6064	+	3.86041i	−0.418927	+	0.152477i	−0.542878	−	0.839811i	$-0.682666\pi$
$641$	−10.6064	+	3.86041i	−0.418927	+	0.152477i	0.123951	+	0.992288i	$0.460443\pi$
$642$	6.64807	+	2.69728i	0.262378	+	0.106453i
$643$	2.03853	−	11.5611i	0.0803919	−	0.455925i	−0.917864	−	0.396895i	$-0.870088\pi$
$643$	2.03853	−	11.5611i	0.0803919	−	0.455925i	0.998256	−	0.0590308i	$-0.0188010\pi$
$644$	1.77412	−	3.92452i	0.0699101	−	0.154648i
$645$	−0.116485	+	3.20175i	−0.00458660	+	0.126069i
$646$	−8.46988	+	8.34637i	−0.333243	+	0.328383i
$647$	−0.770395	−	0.444788i	−0.0302874	−	0.0174864i	0.484780	−	0.874636i	$-0.338900\pi$
$647$	−0.770395	−	0.444788i	−0.0302874	−	0.0174864i	−0.515067	+	0.857150i	$0.672233\pi$
$648$	−2.83106	+	8.54313i	−0.111215	+	0.335606i
$649$	−6.64531	−	18.2578i	−0.260851	−	0.716683i
$650$	1.47729	+	1.76056i	0.0579439	+	0.0690548i
$651$	−2.25882	−	3.40102i	−0.0885302	−	0.133296i
$652$	−2.39001	−	13.5544i	−0.0936002	−	0.530833i
$653$	−22.8654	−	13.2013i	−0.894791	−	0.516608i	−0.0192845	−	0.999814i	$-0.506139\pi$
$653$	−22.8654	−	13.2013i	−0.894791	−	0.516608i	−0.875507	+	0.483206i	$0.839472\pi$
$654$	3.63731	−	1.92719i	0.142230	−	0.0753591i
$655$	4.63961	−	3.89309i	0.181284	−	0.152116i
$656$	−1.78310	−	10.1124i	−0.0696182	−	0.394824i
$657$	−0.245379	+	0.361510i	−0.00957316	+	0.0141038i
$658$	−20.9671	+	21.4664i	−0.817381	+	0.836846i
$659$	8.15982	+	46.2766i	0.317862	+	1.80268i	0.555706	+	0.831379i	$0.312448\pi$
$659$	8.15982	+	46.2766i	0.317862	+	1.80268i	−0.237844	+	0.971303i	$0.576441\pi$
$660$	0.536804	−	2.50747i	0.0208951	−	0.0976031i
$661$	12.3042	−	2.16955i	0.478576	−	0.0843859i	0.0708438	−	0.997487i	$-0.477431\pi$
$661$	12.3042	−	2.16955i	0.478576	−	0.0843859i	0.407732	+	0.913102i	$0.366320\pi$
$662$	11.2196	−	13.3710i	0.436061	−	0.519677i
$663$	1.65428	+	1.49390i	0.0642470	+	0.0580182i
$664$		−	4.13648i		−	0.160527i
$665$	−3.88475	−	1.39451i	−0.150644	−	0.0540769i
$666$	−2.02493	+	27.7921i	−0.0784643	+	1.07692i
$667$	0.157236	−	0.187387i	0.00608821	−	0.00725564i
$668$	−9.35649	−	7.85102i	−0.362013	−	0.303765i
$669$	−9.37201	+	1.30321i	−0.362343	+	0.0503850i
$670$	0.100943	−	0.572478i	0.00389978	−	0.0221167i
$671$	−37.3863	+	6.59220i	−1.44328	+	0.254489i
$672$	−4.45426	+	1.07682i	−0.171827	+	0.0415393i
$673$	−1.66159	−	0.959319i	−0.0640496	−	0.0369790i	0.467633	−	0.883923i	$-0.345107\pi$
$673$	−1.66159	−	0.959319i	−0.0640496	−	0.0369790i	−0.531683	+	0.846944i	$0.678440\pi$
$674$	35.6381	−	6.28396i	1.37273	−	0.242049i
$675$	−21.0490	+	14.0641i	−0.810177	+	0.541326i
$676$	−6.38873	−	11.0656i	−0.245721	−	0.425600i
$677$	−2.72212	+	4.71485i	−0.104620	+	0.181207i	−0.913583	−	0.406653i	$-0.866696\pi$
$677$	−2.72212	+	4.71485i	−0.104620	+	0.181207i	0.808963	+	0.587859i	$0.200029\pi$
$678$	−2.93077	−	21.0766i	−0.112556	−	0.809443i
$679$	40.4947	−	4.02346i	1.55404	−	0.154406i
$680$	0.747929	−	0.627587i	0.0286818	−	0.0240669i
$681$	5.49553	−	1.77675i	0.210589	−	0.0680851i
$682$	−0.639980	+	3.62950i	−0.0245061	+	0.138981i
$683$	11.7513	−	20.3539i	0.449652	−	0.778821i	−0.548711	−	0.836012i	$-0.684881\pi$
$683$	11.7513	−	20.3539i	0.449652	−	0.778821i	0.998363	+	0.0571916i	$0.0182146\pi$
$684$	−4.56073	−	12.2556i	−0.174384	−	0.468605i
$685$	6.39831			0.244467
$686$	18.3813	−	2.26425i	0.701802	−	0.0864497i
$687$	0.0983465	−	0.459387i	0.00375215	−	0.0175267i
$688$	−4.85672	−	1.76770i	−0.185161	−	0.0673930i
$689$	1.99305	+	5.47586i	0.0759292	+	0.208614i
$690$	−0.935067	−	0.379379i	−0.0355974	−	0.0144427i
$691$	22.6958	−	39.3103i	0.863389	−	1.49543i	−0.00524860	−	0.999986i	$-0.501671\pi$
$691$	22.6958	−	39.3103i	0.863389	−	1.49543i	0.868638	−	0.495448i	$-0.164996\pi$
$692$	5.95163	−	10.3085i	0.226247	−	0.391871i
$693$	−30.5475	+	12.0373i	−1.16040	+	0.457258i
$694$	−3.38849	+	9.30981i	−0.128625	+	0.353396i
$695$		−	6.05743i		−	0.229771i
$696$	−0.260102	−	0.00946293i	−0.00985913	−	0.000358692i
$697$	9.58087	−	26.3232i	0.362901	−	0.997063i
$698$	5.57426	−	31.6132i	0.210989	−	1.19658i
$699$	−4.97092	−	6.38165i	−0.188017	−	0.241376i
$700$	−11.7455	−	5.30966i	−0.443937	−	0.200686i
$701$	−2.91974	−	8.02191i	−0.110277	−	0.302983i	0.872263	−	0.489038i	$-0.162652\pi$
$701$	−2.91974	−	8.02191i	−0.110277	−	0.302983i	−0.982539	+	0.186055i	$0.940430\pi$
$702$	−2.24363	+	0.987183i	−0.0846803	+	0.0372588i
$703$	−22.9788	−	33.3355i	−0.866661	−	1.25727i
$704$	3.58244	+	2.06832i	0.135018	+	0.0779528i
$705$	5.21788	+	4.71201i	0.196517	+	0.177464i
$706$	−17.5213	−	3.08948i	−0.659424	−	0.116274i
$707$	−17.9307	−	12.2433i	−0.674352	−	0.460458i
$708$	6.03779	+	5.45243i	0.226914	+	0.204915i
$709$	23.4521	−	19.6787i	0.880762	−	0.739047i	−0.0855734	−	0.996332i	$-0.527272\pi$
$709$	23.4521	−	19.6787i	0.880762	−	0.739047i	0.966336	+	0.257285i	$0.0828278\pi$
$710$			1.34654i			0.0505347i
$711$	10.0322	−	4.85685i	0.376237	−	0.182146i
$712$	1.57772	+	8.94771i	0.0591276	+	0.335329i
$713$	1.36285	+	0.496037i	0.0510392	+	0.0185767i
$714$	−11.9922	−	3.53164i	−0.448796	−	0.132168i
$715$	0.604831	−	0.349199i	0.0226194	−	0.0130593i
$716$	−13.7210	+	11.5133i	−0.512778	+	0.430272i
$717$	−11.5178	−	35.6248i	−0.430138	−	1.33043i
$718$	0.923865	−	0.162902i	0.0344783	−	0.00607946i
$719$	−3.48813	−	9.58355i	−0.130085	−	0.357406i	0.857501	−	0.514482i	$-0.172016\pi$
$719$	−3.48813	−	9.58355i	−0.130085	−	0.357406i	−0.987587	+	0.157076i	$0.949793\pi$
$720$	0.292936	+	1.03296i	0.0109171	+	0.0384960i
$721$	−39.6859	−	10.1349i	−1.47798	−	0.377443i
$722$	16.3132	+	9.74068i	0.607113	+	0.362511i
$723$	−34.0815	+	18.0577i	−1.26750	+	0.671573i
$724$	−8.60475	−	1.51725i	−0.319793	−	0.0563881i
$725$	−0.560819	−	0.470583i	−0.0208283	−	0.0174770i
$726$	9.80936	+	3.97990i	0.364060	+	0.147708i
$727$	−35.1903	−	29.5281i	−1.30513	−	1.09514i	−0.989233	−	0.146346i	$-0.953249\pi$
$727$	−35.1903	−	29.5281i	−1.30513	−	1.09514i	−0.315901	−	0.948792i	$-0.602307\pi$
$728$	−1.03073	−	0.703798i	−0.0382014	−	0.0260845i
$729$	−8.11835	−	25.7506i	−0.300679	−	0.953725i
$730$			0.0521242i			0.00192920i
$731$	−9.06303	−	10.8009i	−0.335208	−	0.399486i
$732$	12.5401	−	9.76793i	0.463494	−	0.361033i
$733$	−21.3685			−0.789262			−0.394631	−	0.918840i	$-0.629128\pi$
$733$	−21.3685			−0.789262			−0.394631	+	0.918840i	$0.629128\pi$
$734$	4.00452	+	6.93604i	0.147810	+	0.256014i
$735$	−0.698604	−	4.28266i	−0.0257684	−	0.157968i
$736$	1.04636	−	1.24701i	0.0385695	−	0.0459653i
$737$	6.31369	+	2.29800i	0.232568	+	0.0846478i
$738$	22.0969	+	21.4637i	0.813400	+	0.790091i
$739$	−1.51576	+	8.59629i	−0.0557581	+	0.316220i	−0.999912	−	0.0132857i	$-0.995771\pi$
$739$	−1.51576	+	8.59629i	−0.0557581	+	0.316220i	0.944154	+	0.329505i	$0.106882\pi$
$740$	1.66218	+	2.87898i	0.0611029	+	0.105833i
$741$	1.64477	−	3.15898i	0.0604221	−	0.116048i
$742$	−23.3805	−	22.8367i	−0.858324	−	0.838360i
$743$	3.44640	−	1.25439i	0.126436	−	0.0460190i	−0.278027	−	0.960573i	$-0.589681\pi$
$743$	3.44640	−	1.25439i	0.126436	−	0.0460190i	0.404463	+	0.914554i	$0.367458\pi$
$744$	−0.474718	−	1.46832i	−0.0174040	−	0.0538311i
$745$	0.479648	+	2.72022i	0.0175729	+	0.0996611i
$746$	−10.1882	−	27.9918i	−0.373016	−	1.02485i
$747$	7.26476	+	10.0607i	0.265804	+	0.368101i
$748$	5.64244	+	9.77300i	0.206308	+	0.357336i
$749$	−7.83989	−	7.65753i	−0.286463	−	0.279800i
$750$	−2.30070	+	5.67060i	−0.0840097	+	0.207061i
$751$	−6.21904	+	1.09658i	−0.226936	+	0.0400149i	−0.285960	−	0.958242i	$-0.592312\pi$
$751$	−6.21904	+	1.09658i	−0.226936	+	0.0400149i	0.0590238	+	0.998257i	$0.481201\pi$
$752$	−9.82211	+	5.67080i	−0.358175	+	0.206793i
$753$	−0.871902	+	23.9654i	−0.0317739	+	0.873349i
$754$	−0.0455654	−	0.0543027i	−0.00165939	−	0.00197759i
$755$	6.01305	+	5.04554i	0.218837	+	0.183626i
$756$	8.94241	−	10.4419i	0.325232	−	0.379768i
$757$	−2.46204	+	13.9629i	−0.0894842	+	0.507490i	0.906814	+	0.421530i	$0.138507\pi$
$757$	−2.46204	+	13.9629i	−0.0894842	+	0.507490i	−0.996299	+	0.0859601i	$0.972604\pi$
$758$	−12.9678	+	15.4545i	−0.471013	+	0.561332i
$759$	6.19507	−	9.88207i	0.224867	−	0.358696i
$760$	−1.27130	−	0.904161i	−0.0461149	−	0.0327974i
$761$	6.16726	−	3.56067i	0.223563	−	0.129074i	−0.384036	−	0.923318i	$-0.625466\pi$
$761$	6.16726	−	3.56067i	0.223563	−	0.129074i	0.607599	+	0.794244i	$0.292133\pi$
$762$	−4.17621	−	12.9171i	−0.151288	−	0.467939i
$763$	−6.25697	+	0.621678i	−0.226518	+	0.0225063i
$764$	8.50906	+	10.1407i	0.307847	+	0.366878i
$765$	−0.716893	+	2.83997i	−0.0259193	+	0.102679i
$766$	26.8910	+	9.78751i	0.971610	+	0.353637i
$767$			2.21571i			0.0800047i
$768$	−1.73091	−	0.0629732i	−0.0624587	−	0.00227235i
$769$	−5.08698	−	1.85151i	−0.183441	−	0.0667672i	0.248666	−	0.968589i	$-0.420008\pi$
$769$	−5.08698	−	1.85151i	−0.183441	−	0.0667672i	−0.432108	+	0.901822i	$0.642230\pi$
$770$	−2.20880	+	3.23484i	−0.0795995	+	0.116576i
$771$	−13.1562	+	20.9862i	−0.473811	+	0.755800i
$772$	−1.09305	−	0.631071i	−0.0393396	−	0.0227128i
$773$	29.8701	+	10.8718i	1.07435	+	0.391033i	0.817803	−	0.575498i	$-0.195192\pi$
$773$	29.8701	+	10.8718i	1.07435	+	0.391033i	0.256550	+	0.966531i	$0.417414\pi$
$774$	14.9170	−	4.23031i	0.536180	−	0.152055i
$775$	1.48456	−	4.07880i	0.0533271	−	0.146515i
$776$	15.1472	+	2.67087i	0.543754	+	0.0958786i
$777$	18.9325	−	38.1235i	0.679199	−	1.36767i
$778$			1.67651i			0.0601056i
$779$	−44.5589	−	4.22840i	−1.59649	−	0.151498i
$780$	−0.155324	+	0.247765i	−0.00556148	+	0.00887140i
$781$	−15.3271	−	2.70259i	−0.548448	−	0.0967061i
$782$	4.17301	−	1.51885i	0.149227	−	0.0543141i
$783$	0.649235	−	0.433792i	0.0232018	−	0.0155025i
$784$	6.92035	+	1.05299i	0.247155	+	0.0376069i
$785$	2.51918	−	0.444199i	0.0899133	−	0.0158541i
$786$	−24.8344	−	15.5687i	−0.885815	−	0.555317i
$787$	11.0794	−	6.39670i	0.394938	−	0.228018i	−0.289359	−	0.957221i	$-0.593442\pi$
$787$	11.0794	−	6.39670i	0.394938	−	0.228018i	0.684298	+	0.729203i	$0.260109\pi$
$788$	8.83396	+	10.5279i	0.314697	+	0.375041i
$789$	−20.1907	+	2.80758i	−0.718808	+	0.0999527i
$790$	0.664855	−	1.15156i	0.0236545	−	0.0409707i
$791$	−8.04287	+	31.4941i	−0.285972	+	1.11980i
$792$	−12.3457	+	1.26117i	−0.438685	+	0.0448138i
$793$	4.26345	+	0.751762i	0.151400	+	0.0266958i
$794$	−3.76145	−	21.3323i	−0.133489	−	0.757053i
$795$	−5.13217	+	5.68315i	−0.182019	+	0.201561i
$796$	4.83524	+	4.05725i	0.171381	+	0.143805i
$797$	28.7818			1.01950			0.509752	−	0.860321i	$-0.329737\pi$
$797$	28.7818			1.01950			0.509752	+	0.860321i	$0.329737\pi$
$798$	−0.637980	+	19.9648i	−0.0225843	+	0.706746i
$799$	−30.9402			−1.09459
$800$	−3.73210	−	3.13160i	−0.131950	−	0.110719i
$801$	−19.5519	−	18.9916i	−0.690831	−	0.671035i
$802$	3.18251	+	18.0489i	0.112378	+	0.637330i
$803$	−0.593310	−	0.104617i	−0.0209375	−	0.00369184i
$804$	−2.78645	+	0.387465i	−0.0982706	+	0.0136648i
$805$	1.10270	+	1.07705i	0.0388650	+	0.0379610i
$806$	0.210143	−	0.363979i	0.00740198	−	0.0128206i
$807$	−1.81698	−	13.0668i	−0.0639607	−	0.459973i
$808$	−5.27493	−	6.28642i	−0.185572	−	0.221156i
$809$	−32.0494	+	18.5038i	−1.12680	+	0.650557i	−0.943128	−	0.332430i	$-0.892131\pi$
$809$	−32.0494	+	18.5038i	−1.12680	+	0.650557i	−0.183671	+	0.982988i	$0.558798\pi$
$810$	−2.52662	−	1.99787i	−0.0887764	−	0.0701979i
$811$	−11.8074	+	2.08196i	−0.414613	+	0.0731075i	−0.377064	−	0.926187i	$-0.623066\pi$
$811$	−11.8074	+	2.08196i	−0.414613	+	0.0731075i	−0.0375494	+	0.999295i	$0.511955\pi$
$812$	0.362277	+	0.163771i	0.0127134	+	0.00574724i
$813$	−4.72711	+	3.68213i	−0.165787	+	0.129138i
$814$	−36.1064	+	13.1416i	−1.26553	+	0.460615i
$815$	4.85109	+	0.855378i	0.169926	+	0.0299626i
$816$	−4.00344	−	2.50976i	−0.140149	−	0.0878591i
$817$	−13.0571	+	18.3589i	−0.456809	+	0.642298i
$818$		−	5.67535i		−	0.198434i
$819$	3.74298	−	0.0984682i	0.130790	−	0.00344076i
$820$	3.61921	+	0.638164i	0.126388	+	0.0222856i
$821$	−13.1297	+	36.0736i	−0.458230	+	1.25898i	0.468571	+	0.883426i	$0.344769\pi$
$821$	−13.1297	+	36.0736i	−0.458230	+	1.25898i	−0.926801	+	0.375552i	$0.877453\pi$
$822$	−9.52567	−	29.4632i	−0.332246	−	1.02765i
$823$	30.9555	+	11.2669i	1.07904	+	0.392739i	0.819551	−	0.573007i	$-0.194223\pi$
$823$	30.9555	+	11.2669i	1.07904	+	0.392739i	0.259491	+	0.965746i	$0.416445\pi$
$824$	−13.4072	−	7.74064i	−0.467061	−	0.269658i
$825$	−29.5755	−	18.5409i	−1.02969	−	0.645510i
$826$	−5.38401	−	11.2001i	−0.187334	−	0.389700i
$827$	3.99427	+	1.45380i	0.138894	+	0.0505535i	0.410532	−	0.911846i	$-0.365343\pi$
$827$	3.99427	+	1.45380i	0.138894	+	0.0505535i	−0.271638	+	0.962400i	$0.587565\pi$
$828$	−0.354874	+	4.87065i	−0.0123327	+	0.169267i
$829$			26.5398i			0.921765i	0.887461	+	0.460882i	$0.152467\pi$
$829$			26.5398i			0.921765i	−0.887461	+	0.460882i	$0.847533\pi$
$830$	1.39115	+	0.506337i	0.0482876	+	0.0175752i
$831$	−7.95833	+	37.1742i	−0.276071	+	1.28956i
$832$	−0.303225	−	0.361370i	−0.0105124	−	0.0125282i
$833$	14.9133	+	11.9272i	0.516716	+	0.413253i
$834$	−27.8935	+	9.01817i	−0.965873	+	0.312274i
$835$	3.78571	−	2.18568i	0.131010	−	0.0756385i
$836$	12.8433	−	12.6560i	0.444195	−	0.437717i
$837$	3.73336	+	2.73749i	0.129044	+	0.0946215i
$838$	−17.5556	+	20.9220i	−0.606448	+	0.722737i
$839$	3.70144	−	20.9919i	0.127788	−	0.724720i	−0.851825	−	0.523826i	$-0.824504\pi$
$839$	3.70144	−	20.9919i	0.127788	−	0.724720i	0.979613	−	0.200894i	$-0.0643848\pi$
$840$	0.183088	−	1.62984i	0.00631712	−	0.0562347i
$841$	−22.1980	−	18.6263i	−0.765448	−	0.642287i
$842$	−22.6836	−	27.0333i	−0.781729	−	0.931628i
$843$	8.09727	+	0.294592i	0.278885	+	0.0101463i
$844$	17.7346	−	10.2391i	0.610451	−	0.352444i
$845$	4.50354	−	0.794095i	0.154926	−	0.0273177i
$846$	13.9298	−	31.0427i	0.478915	−	1.06727i
$847$	−11.5679	−	11.2989i	−0.397478	−	0.388233i
$848$	−6.17645	−	10.6979i	−0.212100	−	0.367368i
$849$	21.3730	−	16.6483i	0.733521	−	0.571368i
$850$	−4.54569	−	12.4892i	−0.155916	−	0.428376i
$851$	2.62564	+	14.8907i	0.0900058	+	0.510448i
$852$	6.20059	−	2.00470i	0.212429	−	0.0686798i
$853$	−18.2280	+	6.63444i	−0.624114	+	0.227159i	−0.634668	−	0.772785i	$-0.718863\pi$
$853$	−18.2280	+	6.63444i	−0.624114	+	0.227159i	0.0105532	+	0.999944i	$0.496641\pi$
$854$	−23.3778	+	6.55982i	−0.799972	+	0.224473i
$855$	4.67998	−	0.0336511i	0.160052	−	0.00115084i
$856$	−2.07107	−	3.58720i	−0.0707878	−	0.122608i
$857$	−2.90963	+	16.5014i	−0.0993912	+	0.563676i	0.893922	+	0.448223i	$0.147943\pi$
$857$	−2.90963	+	16.5014i	−0.0993912	+	0.563676i	−0.993313	+	0.115453i	$0.963168\pi$
$858$	−2.50847	−	2.26527i	−0.0856377	−	0.0773351i
$859$	0.435919	+	0.158662i	0.0148734	+	0.00541347i	0.349446	−	0.936956i	$-0.386370\pi$
$859$	0.435919	+	0.158662i	0.0148734	+	0.00541347i	−0.334573	+	0.942370i	$0.608592\pi$
$860$	1.18900	−	1.41700i	0.0405446	−	0.0483192i
$861$	−18.8317	−	43.1234i	−0.641782	−	1.46964i
$862$	10.2080	+	17.6808i	0.347686	+	0.602210i
$863$	26.7096			0.909206			0.454603	−	0.890694i	$-0.349781\pi$
$863$	26.7096			0.909206			0.454603	+	0.890694i	$0.349781\pi$
$864$	4.32048	−	2.88677i	0.146986	−	0.0982098i
$865$	2.73836	+	3.26345i	0.0931072	+	0.110961i
$866$		−	19.9359i		−	0.677451i
$867$	7.75062	+	14.6282i	0.263225	+	0.496801i
$868$	−0.177800	+	2.35049i	−0.00603494	+	0.0797807i
$869$	11.7734	+	9.87904i	0.399385	+	0.335124i
$870$	0.0350210	−	0.0863172i	0.00118732	−	0.00292643i
$871$	−0.586950	−	0.492509i	−0.0198880	−	0.0166880i
$872$	−2.34045	−	0.412685i	−0.0792578	−	0.0139753i
$873$	−41.5317	+	20.1065i	−1.40563	+	0.680503i
$874$	−4.02709	−	5.84215i	−0.136218	−	0.197614i
$875$	6.53164	−	6.68718i	0.220810	−	0.226068i
$876$	0.240024	−	0.0776015i	0.00810965	−	0.00262191i
$877$	−8.79127	−	24.1538i	−0.296860	−	0.815617i	−0.995020	−	0.0996747i	$-0.968220\pi$
$877$	−8.79127	−	24.1538i	−0.296860	−	0.815617i	0.698160	−	0.715942i	$-0.254002\pi$
$878$	39.8735	−	7.03078i	1.34567	−	0.237277i
$879$	44.7732	−	14.4755i	1.51016	−	0.488247i
$880$	−1.13412	+	0.951641i	−0.0382312	+	0.0320798i
$881$	29.3877	−	16.9670i	0.990096	−	0.571632i	0.0847930	−	0.996399i	$-0.472977\pi$
$881$	29.3877	−	16.9670i	0.990096	−	0.571632i	0.905303	+	0.424766i	$0.139644\pi$
$882$	−18.6809	+	9.59290i	−0.629019	+	0.323010i
$883$	−24.4402	−	8.89552i	−0.822479	−	0.299358i	−0.103711	−	0.994607i	$-0.533072\pi$
$883$	−24.4402	−	8.89552i	−0.822479	−	0.299358i	−0.718768	+	0.695250i	$0.755294\pi$
$884$	−0.223469	−	1.26735i	−0.00751607	−	0.0426257i
$885$	−2.57279	+	1.36317i	−0.0864835	+	0.0458224i
$886$			2.13570i			0.0717501i
$887$	−3.80785	+	3.19516i	−0.127855	+	0.107283i	−0.704473	−	0.709731i	$-0.748817\pi$
$887$	−3.80785	+	3.19516i	−0.127855	+	0.107283i	0.576618	+	0.817014i	$0.304372\pi$
$888$	10.7826	−	11.9402i	0.361841	−	0.400688i
$889$	−1.56415	+	20.6778i	−0.0524600	+	0.693511i
$890$	−3.20235	−	0.564661i	−0.107343	−	0.0189275i
$891$	27.8120	−	24.7497i	0.931739	−	0.829146i
$892$	4.73109	+	2.73150i	0.158409	+	0.0914573i
$893$	12.4441	+	47.8450i	0.416427	+	1.60107i
$894$	11.8121	−	6.25851i	0.395055	−	0.209316i
$895$	−2.19251	−	6.02387i	−0.0732875	−	0.201356i
$896$	2.41085	+	1.08985i	0.0805410	+	0.0364094i
$897$	−1.04930	+	0.817341i	−0.0350351	+	0.0272902i
$898$	−2.54775	+	14.4490i	−0.0850194	+	0.482169i
$899$	−0.0457898	+	0.125807i	−0.00152718	+	0.00419588i
$900$	14.5771	+	1.06208i	0.485903	+	0.0354028i
$901$		−	33.6991i		−	1.12268i
$902$	−14.5279	+	39.9152i	−0.483728	+	1.32903i
$903$	−23.5366	−	2.64398i	−0.783249	−	0.0879862i
$904$	−6.14284	+	10.6397i	−0.204308	+	0.353871i
$905$	1.56356	−	2.70816i	0.0519745	−	0.0900224i
$906$	14.2818	−	35.2008i	0.474482	−	1.16947i
$907$	13.2907	+	36.5158i	0.441309	+	1.21249i	0.938632	+	0.344921i	$0.112094\pi$
$907$	13.2907	+	36.5158i	0.441309	+	1.21249i	−0.497323	+	0.867566i	$0.665683\pi$
$908$	−3.13345	−	1.14048i	−0.103987	−	0.0378483i
$909$	23.8703	+	6.02556i	0.791726	+	0.199855i
$910$	0.362865	−	0.260497i	0.0120289	−	0.00863540i
$911$	19.0321			0.630561			0.315281	−	0.948998i	$-0.397901\pi$
$911$	19.0321			0.630561			0.315281	+	0.948998i	$0.397901\pi$
$912$	−2.27084	+	7.20023i	−0.0751949	+	0.238423i
$913$	−8.55557	+	14.8187i	−0.283148	+	0.490427i
$914$	1.45456	−	8.24921i	0.0481125	−	0.272860i
$915$	1.75008	+	5.41305i	0.0578558	+	0.178950i
$916$	−0.207780	+	0.174348i	−0.00686523	+	0.00576061i
$917$	26.1106	+	36.3714i	0.862249	+	1.20109i
$918$	14.1449	−	0.926911i	0.466852	−	0.0305926i
$919$	−2.80938	+	4.86599i	−0.0926729	+	0.160514i	−0.908635	−	0.417591i	$-0.862874\pi$
$919$	−2.80938	+	4.86599i	−0.0926729	+	0.160514i	0.815962	+	0.578105i	$0.196208\pi$
$920$	0.291301	+	0.504549i	0.00960392	+	0.0166345i
$921$	−16.0225	−	20.5697i	−0.527960	−	0.677795i
$922$	0.385618	−	0.0679948i	0.0126996	−	0.00223929i
$923$	1.53705	+	0.887419i	0.0505928	+	0.0292097i
$924$	18.1843	+	5.35520i	0.598221	+	0.176173i
$925$	44.5657	−	7.85814i	1.46531	−	0.258374i
$926$	−2.16613	+	12.2847i	−0.0711833	+	0.403700i
$927$	46.2034	−	4.71990i	1.51752	−	0.155022i
$928$	0.115113	+	0.0965911i	0.00377876	+	0.00317076i
$929$	−22.5852	+	26.9160i	−0.740996	+	0.883085i	−0.996489	−	0.0837262i	$-0.973318\pi$
$929$	−22.5852	+	26.9160i	−0.740996	+	0.883085i	0.255493	+	0.966811i	$0.417762\pi$
$930$	0.551923	+	0.0200799i	0.0180983	+	0.000658445i
$931$	12.4457	−	27.8586i	0.407893	−	0.913030i
$932$			4.67031i			0.152981i
$933$	−15.7104	+	17.3971i	−0.514336	+	0.569555i
$934$	9.35924	−	11.1539i	0.306244	−	0.364967i
$935$	−3.97746	+	0.701334i	−0.130077	+	0.0229361i
$936$	1.37216	+	0.346374i	0.0448505	+	0.0113216i
$937$	0.232954	+	1.32115i	0.00761026	+	0.0431599i	0.988376	−	0.152027i	$-0.0485799\pi$
$937$	0.232954	+	1.32115i	0.00761026	+	0.0431599i	−0.980766	+	0.195186i	$0.937469\pi$
$938$	4.16370	+	1.06331i	0.135950	+	0.0347184i
$939$	−10.0003	+	15.9519i	−0.326346	+	0.520571i
$940$	−0.704858	−	3.99745i	−0.0229899	−	0.130382i
$941$	−20.2381	+	16.9817i	−0.659742	+	0.553589i	−0.910009	−	0.414588i	$-0.863926\pi$
$941$	−20.2381	+	16.9817i	−0.659742	+	0.553589i	0.250268	+	0.968177i	$0.419481\pi$
$942$	−5.79597	−	10.9391i	−0.188843	−	0.356415i
$943$	14.4760	+	8.35775i	0.471405	+	0.272166i
$944$	−0.815616	−	4.62559i	−0.0265460	−	0.150550i
$945$	2.41712	+	4.28562i	0.0786290	+	0.139411i
$946$	13.7427	+	16.3779i	0.446814	+	0.532493i
$947$	−14.1913	−	38.9901i	−0.461154	−	1.26701i	−0.924619	−	0.380894i	$-0.875616\pi$
$947$	−14.1913	−	38.9901i	−0.461154	−	1.26701i	0.463465	−	0.886115i	$-0.346606\pi$
$948$	−6.29258	−	1.34713i	−0.204374	−	0.0437527i
$949$	0.0594991	+	0.0343518i	0.00193142	+	0.00111511i
$950$	−17.4846	+	12.0525i	−0.567277	+	0.391034i
$951$	33.6134	+	1.22291i	1.08999	+	0.0396556i
$952$	4.20917	+	5.86326i	0.136420	+	0.190029i
$953$	5.17555	−	29.3520i	0.167653	−	0.950805i	−0.778634	−	0.627478i	$-0.784087\pi$
$953$	5.17555	−	29.3520i	0.167653	−	0.950805i	0.946287	−	0.323328i	$-0.104802\pi$
$954$	33.8107	+	15.1719i	1.09466	+	0.491207i
$955$	−4.45202	+	1.62040i	−0.144064	+	0.0524350i
$956$	−7.39318	+	20.3126i	−0.239113	+	0.656957i
$957$	0.912226	+	0.571874i	0.0294881	+	0.0184861i
$958$	−12.3284	−	7.11778i	−0.398311	−	0.229965i
$959$	−3.56774	+	47.1648i	−0.115208	+	1.52303i
$960$	0.233055	−	0.574417i	0.00752182	−	0.0185392i
$961$	30.2062			0.974394
$962$	4.38175			0.141273
$963$	11.3373	+	5.08739i	0.365340	+	0.163939i
$964$	21.9300	+	3.86684i	0.706316	+	0.124543i
$965$	0.346035	−	0.290358i	0.0111393	−	0.00934695i
$966$	3.31797	−	6.68125i	0.106754	−	0.214966i
$967$	0.972958	−	0.354128i	0.0312882	−	0.0113880i	−0.326329	−	0.945256i	$-0.605812\pi$
$967$	0.972958	−	0.354128i	0.0312882	−	0.0113880i	0.357617	+	0.933868i	$0.383589\pi$
$968$	−3.05591	−	5.29300i	−0.0982207	−	0.170123i
$969$	−15.1862	+	13.9134i	−0.487850	+	0.446963i
$970$	−2.75239	+	4.76728i	−0.0883739	+	0.153068i
$971$	19.1580	+	16.0755i	0.614809	+	0.515886i	0.896167	−	0.443717i	$-0.146340\pi$
$971$	19.1580	+	16.0755i	0.614809	+	0.515886i	−0.281358	+	0.959603i	$0.590785\pi$
$972$	−5.43829	+	14.6091i	−0.174433	+	0.468586i
$973$	44.6520	+	3.37766i	1.43148	+	0.108283i
$974$	20.7040	−	24.6741i	0.663400	−	0.790610i
$975$	2.44617	+	3.14039i	0.0783402	+	0.100573i
$976$	−9.17724			−0.293756
$977$	4.98754	+	8.63867i	0.159566	+	0.276376i	0.934712	−	0.355406i	$-0.115657\pi$
$977$	4.98754	+	8.63867i	0.159566	+	0.276376i	−0.775147	+	0.631781i	$0.782324\pi$
$978$	−3.28332	−	23.6120i	−0.104989	−	0.755028i
$979$	12.8546	−	35.3179i	0.410836	−	1.12876i
$980$	−1.20124	+	2.19851i	−0.0383722	+	0.0702287i
$981$	6.41720	−	3.10673i	0.204886	−	0.0991903i
$982$	13.6961	+	16.3224i	0.437060	+	0.520868i
$983$	2.73578	−	0.995741i	0.0872577	−	0.0317592i	−0.298022	−	0.954559i	$-0.596327\pi$
$983$	2.73578	−	0.995741i	0.0872577	−	0.0317592i	0.385280	+	0.922800i	$0.374105\pi$
$984$	−2.44956	−	17.6160i	−0.0780890	−	0.561576i
$985$	−4.62202	+	1.68228i	−0.147270	+	0.0536018i
$986$	0.140207	+	0.385216i	0.00446511	+	0.0122678i
$987$	−37.6438	+	35.8359i	−1.19822	+	1.14067i
$988$	−1.86992	+	0.855295i	−0.0594901	+	0.0272105i
$989$	7.28623	−	4.20671i	0.231689	−	0.133765i
$990$	1.08706	−	4.30639i	0.0345490	−	0.136866i
$991$	1.13932	−	1.35779i	0.0361916	−	0.0431315i	−0.747645	−	0.664099i	$-0.768816\pi$
$991$	1.13932	−	1.35779i	0.0361916	−	0.0431315i	0.783837	+	0.620967i	$0.213260\pi$
$992$	−0.304719	+	0.837208i	−0.00967484	+	0.0265814i
$993$	20.2620	−	22.4373i	0.642996	−	0.712027i
$994$	−9.92593	−	0.750838i	−0.314831	−	0.0238151i
$995$	−1.95638	+	1.12951i	−0.0620213	+	0.0358080i
$996$	0.260487	−	7.15986i	0.00825386	−	0.226869i
$997$	23.6826	−	19.8720i	0.750034	−	0.629353i	−0.185478	−	0.982648i	$-0.559383\pi$
$997$	23.6826	−	19.8720i	0.750034	−	0.629353i	0.935512	+	0.353295i	$0.114939\pi$
$998$	16.1006	−	13.5100i	0.509654	−	0.427651i
$999$	−5.25512	+	47.9780i	−0.166265	+	1.51796i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.cc.b.641.6	yes	162
3.2	odd	2		798.2.cc.a.641.22	yes	162
7.2	even	3		798.2.bu.b.527.24	yes	162
19.15	odd	18		798.2.bu.a.53.4	✓	162
21.2	odd	6		798.2.bu.a.527.4	yes	162
57.53	even	18		798.2.bu.b.53.24	yes	162
133.72	odd	18		798.2.cc.a.737.22	yes	162
399.338	even	18	inner	798.2.cc.b.737.6	yes	162

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.bu.a.53.4	✓	162	19.15	odd	18
798.2.bu.a.527.4	yes	162	21.2	odd	6
798.2.bu.b.53.24	yes	162	57.53	even	18
798.2.bu.b.527.24	yes	162	7.2	even	3
798.2.cc.a.641.22	yes	162	3.2	odd	2
798.2.cc.a.737.22	yes	162	133.72	odd	18
798.2.cc.b.641.6	yes	162	1.1	even	1	trivial
798.2.cc.b.737.6	yes	162	399.338	even	18	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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.cc (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.766044 - 0.642788i) q^{2} +(-1.28547 - 1.16085i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-0.352459 - 0.0621481i) q^{5} +(0.238552 + 1.71554i) q^{6} +(0.654655 - 2.56348i) q^{7} +(0.500000 - 0.866025i) q^{8} +(0.304878 + 2.98447i) q^{9} +(0.230051 + 0.274165i) q^{10} +(-3.58244 + 2.06832i) q^{11} +(0.919989 - 1.46752i) q^{12} +(0.464568 - 0.0819158i) q^{13} +(-2.14927 + 1.54294i) q^{14} +(0.380932 + 0.489040i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-2.68658 - 0.473717i) q^{17} +(1.68483 - 2.48221i) q^{18} +(0.347999 + 4.34499i) q^{19} -0.357897i q^{20} +(-3.81734 + 2.53533i) q^{21} +(4.07380 + 0.718321i) q^{22} +(0.556758 - 1.52968i) q^{23} +(-1.64806 + 0.532829i) q^{24} +(-4.57810 - 1.66629i) q^{25} +(-0.408534 - 0.235867i) q^{26} +(3.07259 - 4.19037i) q^{27} +(2.63821 + 0.199565i) q^{28} +(0.141207 + 0.0513951i) q^{29} +(0.0225379 - 0.619485i) q^{30} +0.890939i q^{31} +(0.939693 + 0.342020i) q^{32} +(7.00613 + 1.49989i) q^{33} +(1.75354 + 2.08979i) q^{34} +(-0.390054 + 0.862837i) q^{35} +(-2.88619 + 0.818493i) q^{36} +(-8.04416 + 4.64430i) q^{37} +(2.52632 - 3.55214i) q^{38} +(-0.692281 - 0.433991i) q^{39} +(-0.230051 + 0.274165i) q^{40} +(-1.78310 + 10.1124i) q^{41} +(4.55393 + 0.511566i) q^{42} +(3.95923 + 3.32219i) q^{43} +(-2.65898 - 3.16885i) q^{44} +(0.0780220 - 1.07085i) q^{45} +(-1.40976 + 0.813926i) q^{46} +(11.1693 - 1.96945i) q^{47} +(1.60498 + 0.651180i) q^{48} +(-6.14285 - 3.35639i) q^{49} +(2.43596 + 4.21920i) q^{50} +(2.90362 + 3.72766i) q^{51} +(0.161343 + 0.443285i) q^{52} +(2.14506 + 12.1652i) q^{53} +(-5.04726 + 1.23498i) q^{54} +(1.39121 - 0.506358i) q^{55} +(-1.89271 - 1.84869i) q^{56} +(4.59651 - 5.98933i) q^{57} +(-0.0751346 - 0.130137i) q^{58} +(-0.815616 + 4.62559i) q^{59} +(-0.415462 + 0.460066i) q^{60} +(8.62379 + 3.13880i) q^{61} +(0.572684 - 0.682499i) q^{62} +(7.85021 + 1.17225i) q^{63} +(-0.500000 - 0.866025i) q^{64} -0.168832 q^{65} +(-4.40290 - 5.65243i) q^{66} +(-1.04404 - 1.24424i) q^{67} -2.72803i q^{68} +(-2.49142 + 1.32005i) q^{69} +(0.853420 - 0.410249i) q^{70} +(2.88214 + 2.41840i) q^{71} +(2.73706 + 1.22820i) q^{72} +(0.111567 + 0.0936159i) q^{73} +(9.14748 + 1.61295i) q^{74} +(3.95071 + 7.45643i) q^{75} +(-4.21855 + 1.09721i) q^{76} +(2.95684 + 10.5375i) q^{77} +(0.251354 + 0.777446i) q^{78} +(-1.27072 - 3.49128i) q^{79} +(0.352459 - 0.0621481i) q^{80} +(-8.81410 + 1.81980i) q^{81} +(7.86608 - 6.60042i) q^{82} +(3.58230 - 2.06824i) q^{83} +(-3.15969 - 3.31909i) q^{84} +(0.917471 + 0.333932i) q^{85} +(-0.897485 - 5.08989i) q^{86} +(-0.121856 - 0.229986i) q^{87} +4.13664i q^{88} +(-6.96008 + 5.84020i) q^{89} +(-0.748098 + 0.770168i) q^{90} +(0.0941419 - 1.24454i) q^{91} +(1.60312 + 0.282674i) q^{92} +(1.03424 - 1.14528i) q^{93} +(-9.82211 - 5.67080i) q^{94} +(0.147377 - 1.55306i) q^{95} +(-0.810916 - 1.53049i) q^{96} +(5.26058 + 14.4533i) q^{97} +(2.54826 + 6.51969i) q^{98} +(-7.26505 - 10.0611i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 162 q + 81 q^{8} + 15 q^{13} - 9 q^{14} + 3 q^{15} - 12 q^{17} + 18 q^{18} - 36 q^{19} - 6 q^{22} + 12 q^{25} + 9 q^{27} - 12 q^{28} - 6 q^{29} - 12 q^{33} + 6 q^{34} + 12 q^{35} - 18 q^{37} - 9 q^{39}+ \cdots + 39 q^{99}+O(q^{100}) \) 162 * q + 81 * q^8 + 15 * q^13 - 9 * q^14 + 3 * q^15 - 12 * q^17 + 18 * q^18 - 36 * q^19 - 6 * q^22 + 12 * q^25 + 9 * q^27 - 12 * q^28 - 6 * q^29 - 12 * q^33 + 6 * q^34 + 12 * q^35 - 18 * q^37 - 9 * q^39 - 9 * q^43 - 6 * q^44 + 18 * q^45 - 18 * q^46 - 12 * q^47 + 24 * q^49 - 87 * q^50 + 24 * q^51 + 12 * q^52 + 36 * q^53 + 18 * q^54 - 18 * q^57 - 24 * q^59 - 27 * q^60 - 9 * q^61 - 36 * q^62 + 6 * q^63 - 81 * q^64 + 72 * q^65 + 12 * q^66 - 63 * q^67 - 9 * q^69 + 12 * q^70 - 12 * q^71 - 51 * q^73 + 42 * q^74 - 18 * q^78 + 21 * q^79 - 12 * q^81 + 3 * q^84 - 6 * q^85 - 36 * q^86 - 84 * q^87 + 54 * q^89 + 12 * q^90 + 75 * q^91 - 66 * q^93 + 72 * q^94 - 12 * q^97 - 12 * q^98 + 39 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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