LMFDB - Embedded newform 583.2.q.b.21.16

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [583,2,Mod(21,583)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(583, base_ring=CyclotomicField(52)) chi = DirichletCharacter(H, H._module([26, 31])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("583.21"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 583 = 11 \cdot 53 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	583.q (of order $52$, degree $24$, minimal)

Newform invariants

comment:select newform

sage:traces = [1200] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$4.65527843784$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$50$ over $\Q(\zeta_{52})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{52}]$

Embedding invariants

Embedding label			21.16
Character	$\chi$	$=$	583.21
Dual form			583.2.q.b.472.16

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.19557 - 0.372556i) q^{2} +(2.19931 + 0.989829i) q^{3} +(-0.355368 - 0.245293i) q^{4} +(3.46694 + 0.209711i) q^{5} +(-2.26067 - 2.00278i) q^{6} +(1.07166 - 0.562448i) q^{7} +(1.87809 + 2.39720i) q^{8} +(1.86784 + 2.10835i) q^{9} +(-4.06686 - 1.54235i) q^{10} +(-1.61584 + 2.89639i) q^{11} +(-0.538766 - 0.891229i) q^{12} +(3.15414 - 2.17715i) q^{13} +(-1.49079 + 0.273197i) q^{14} +(7.41730 + 3.89290i) q^{15} +(-1.04606 - 2.75824i) q^{16} +(-0.110629 - 0.911115i) q^{17} +(-1.44766 - 3.21657i) q^{18} +(-1.02594 + 5.59839i) q^{19} +(-1.18060 - 0.924940i) q^{20} +(2.91363 - 0.176242i) q^{21} +(3.01092 - 2.86085i) q^{22} +(-3.30896 - 3.30896i) q^{23} +(1.75768 + 7.13118i) q^{24} +(7.01215 + 0.851429i) q^{25} +(-4.58212 + 1.42785i) q^{26} +(-0.131500 - 0.421997i) q^{27} +(-0.518796 - 0.0629933i) q^{28} +(-8.32918 + 2.05296i) q^{29} +(-7.41761 - 7.41761i) q^{30} +(3.40677 - 5.63549i) q^{31} +(-0.144694 - 2.39207i) q^{32} +(-6.42067 + 4.77065i) q^{33} +(-0.207176 + 1.13052i) q^{34} +(3.83332 - 1.72524i) q^{35} +(-0.146606 - 1.20741i) q^{36} +(-6.76633 + 2.56613i) q^{37} +(3.31230 - 6.31107i) q^{38} +(9.09195 - 1.66616i) q^{39} +(6.00850 + 8.70481i) q^{40} +(5.47083 + 9.04986i) q^{41} +(-3.54912 - 0.874780i) q^{42} +(4.44334 - 11.7161i) q^{43} +(1.28468 - 0.632929i) q^{44} +(6.03353 + 7.70124i) q^{45} +(2.72333 + 5.18888i) q^{46} +(1.10086 + 0.975280i) q^{47} +(0.429570 - 7.10165i) q^{48} +(-3.14436 + 4.55539i) q^{49} +(-8.06634 - 3.63037i) q^{50} +(0.658540 - 2.11333i) q^{51} -1.65492 q^{52} +(-6.08769 + 3.99250i) q^{53} +0.553520i q^{54} +(-6.20943 + 9.70274i) q^{55} +(3.36096 + 1.51265i) q^{56} +(-7.79781 + 11.2971i) q^{57} +(10.7230 + 0.648621i) q^{58} +(9.44742 - 10.6639i) q^{59} +(-1.68097 - 3.20282i) q^{60} +(-0.159516 - 0.203607i) q^{61} +(-6.17258 + 5.46843i) q^{62} +(3.18752 + 1.20887i) q^{63} +(-2.13012 + 8.64224i) q^{64} +(11.3918 - 6.88658i) q^{65} +(9.45372 - 3.31161i) q^{66} +(2.70579 - 0.495854i) q^{67} +(-0.184176 + 0.350917i) q^{68} +(-4.00212 - 10.5527i) q^{69} +(-5.22576 + 0.634522i) q^{70} +(-0.812856 + 0.365837i) q^{71} +(-1.54618 + 8.43725i) q^{72} +(4.16084 - 5.31092i) q^{73} +(9.04568 - 0.547163i) q^{74} +(14.5791 + 8.81339i) q^{75} +(1.73783 - 1.73783i) q^{76} +(-0.102557 + 4.01275i) q^{77} +(-11.4908 - 1.39524i) q^{78} +(-1.08459 - 3.48059i) q^{79} +(-3.04820 - 9.78202i) q^{80} +(1.14705 - 9.44684i) q^{81} +(-3.16921 - 12.8580i) q^{82} +(8.09299 + 8.09299i) q^{83} +(-1.07864 - 0.652061i) q^{84} +(-0.192474 - 3.18198i) q^{85} +(-9.67726 + 12.3521i) q^{86} +(-20.3505 - 3.72937i) q^{87} +(-9.97792 + 1.56617i) q^{88} +(0.798746 + 6.57827i) q^{89} +(-4.34440 - 11.4552i) q^{90} +(2.15562 - 4.10719i) q^{91} +(0.364234 + 1.98756i) q^{92} +(13.0707 - 9.02207i) q^{93} +(-0.952818 - 1.57615i) q^{94} +(-4.73093 + 19.1941i) q^{95} +(2.04952 - 5.40413i) q^{96} +(-6.56096 + 5.81251i) q^{97} +(5.45645 - 4.27485i) q^{98} +(-9.12473 + 2.00322i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 48 q^{3} - 52 q^{4} - 44 q^{5} - 52 q^{9} - 26 q^{11} - 64 q^{12} - 28 q^{14} - 28 q^{15} + 72 q^{16} - 52 q^{20} - 12 q^{22} - 68 q^{23} - 52 q^{25} - 80 q^{26} - 72 q^{27} - 56 q^{31} - 28 q^{33}+ \cdots - 258 q^{99}+O(q^{100}) $ 1200 * q - 48 * q^3 - 52 * q^4 - 44 * q^5 - 52 * q^9 - 26 * q^11 - 64 * q^12 - 28 * q^14 - 28 * q^15 + 72 * q^16 - 52 * q^20 - 12 * q^22 - 68 * q^23 - 52 * q^25 - 80 * q^26 - 72 * q^27 - 56 * q^31 - 28 * q^33 - 40 * q^34 - 144 * q^36 - 52 * q^37 - 52 * q^38 + 164 * q^42 - 150 * q^44 + 224 * q^45 - 36 * q^47 - 128 * q^48 - 180 * q^49 + 56 * q^53 - 124 * q^55 + 220 * q^56 - 104 * q^59 - 520 * q^60 + 156 * q^64 - 70 * q^66 + 12 * q^67 - 36 * q^69 - 52 * q^70 - 68 * q^71 + 8 * q^75 - 38 * q^77 - 52 * q^78 - 80 * q^80 + 40 * q^81 - 52 * q^82 - 48 * q^86 - 138 * q^88 - 12 * q^89 - 52 * q^91 - 144 * q^92 + 156 * q^93 + 36 * q^97 - 258 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/583\mathbb{Z}\right)^\times$.

$n$	$266$	$320$
$\chi(n)$	$-1$	$e\left(\frac{31}{52}\right)$

Coefficient data

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

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

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

$2$	−1.19557	−	0.372556i	−0.845399	−	0.263437i	−0.155944	−	0.987766i	$-0.549842\pi$
$2$	−1.19557	−	0.372556i	−0.845399	−	0.263437i	−0.689454	+	0.724329i	$0.742150\pi$
$3$	2.19931	+	0.989829i	1.26977	+	0.571478i	0.929491	−	0.368845i	$-0.120247\pi$
$3$	2.19931	+	0.989829i	1.26977	+	0.571478i	0.340282	+	0.940324i	$0.389478\pi$
$4$	−0.355368	−	0.245293i	−0.177684	−	0.122646i
$5$	3.46694	+	0.209711i	1.55046	+	0.0937857i	0.813266	−	0.581892i	$-0.197687\pi$
$5$	3.46694	+	0.209711i	1.55046	+	0.0937857i	0.737197	+	0.675678i	$0.236149\pi$
$6$	−2.26067	−	2.00278i	−0.922916	−	0.817632i
$7$	1.07166	−	0.562448i	0.405048	−	0.212585i	−0.249880	−	0.968277i	$-0.580391\pi$
$7$	1.07166	−	0.562448i	0.405048	−	0.212585i	0.654928	+	0.755691i	$0.272699\pi$
$8$	1.87809	+	2.39720i	0.664004	+	0.847539i
$9$	1.86784	+	2.10835i	0.622612	+	0.702784i
$10$	−4.06686	−	1.54235i	−1.28605	−	0.487735i
$11$	−1.61584	+	2.89639i	−0.487194	+	0.873294i
$11$	−1.61584	+	2.89639i	−0.487194	+	0.873294i
$12$	−0.538766	−	0.891229i	−0.155528	−	0.257276i
$13$	3.15414	−	2.17715i	0.874802	−	0.603832i	−0.0437894	−	0.999041i	$-0.513943\pi$
$13$	3.15414	−	2.17715i	0.874802	−	0.603832i	0.918591	+	0.395209i	$0.129328\pi$
$14$	−1.49079	+	0.273197i	−0.398429	+	0.0730149i
$15$	7.41730	+	3.89290i	1.91514	+	1.00514i
$16$	−1.04606	−	2.75824i	−0.261515	−	0.689560i
$17$	−0.110629	−	0.911115i	−0.0268316	−	0.220978i	0.973125	−	0.230277i	$-0.0739631\pi$
$17$	−0.110629	−	0.911115i	−0.0268316	−	0.220978i	−0.999957	+	0.00929888i	$0.997040\pi$
$18$	−1.44766	−	3.21657i	−0.341216	−	0.758152i
$19$	−1.02594	+	5.59839i	−0.235367	+	1.28436i	0.627376	+	0.778716i	$0.284129\pi$
$19$	−1.02594	+	5.59839i	−0.235367	+	1.28436i	−0.862744	+	0.505642i	$0.831256\pi$
$20$	−1.18060	−	0.924940i	−0.263990	−	0.206823i
$21$	2.91363	−	0.176242i	0.635806	−	0.0384592i
$22$	3.01092	−	2.86085i	0.641931	−	0.609936i
$23$	−3.30896	−	3.30896i	−0.689965	−	0.689965i	0.272259	−	0.962224i	$-0.412229\pi$
$23$	−3.30896	−	3.30896i	−0.689965	−	0.689965i	−0.962224	+	0.272259i	$0.912229\pi$
$24$	1.75768	+	7.13118i	0.358784	+	1.45565i
$25$	7.01215	+	0.851429i	1.40243	+	0.170286i
$26$	−4.58212	+	1.42785i	−0.898628	+	0.280024i
$27$	−0.131500	−	0.421997i	−0.0253071	−	0.0812134i
$28$	−0.518796	−	0.0629933i	−0.0980433	−	0.0119046i
$29$	−8.32918	+	2.05296i	−1.54669	+	0.381225i	−0.918048	−	0.396470i	$-0.870235\pi$
$29$	−8.32918	+	2.05296i	−1.54669	+	0.381225i	−0.628642	+	0.777695i	$0.716389\pi$
$30$	−7.41761	−	7.41761i	−1.35426	−	1.35426i
$31$	3.40677	−	5.63549i	0.611874	−	1.01216i	−0.384166	−	0.923264i	$-0.625511\pi$
$31$	3.40677	−	5.63549i	0.611874	−	1.01216i	0.996041	−	0.0888999i	$-0.0283351\pi$
$32$	−0.144694	−	2.39207i	−0.0255785	−	0.422863i
$33$	−6.42067	+	4.77065i	−1.11769	+	0.830463i
$34$	−0.207176	+	1.13052i	−0.0355303	+	0.193883i
$35$	3.83332	−	1.72524i	0.647949	−	0.291618i
$36$	−0.146606	−	1.20741i	−0.0244343	−	0.201235i
$37$	−6.76633	+	2.56613i	−1.11238	+	0.421869i	−0.841235	−	0.540670i	$-0.818171\pi$
$37$	−6.76633	+	2.56613i	−1.11238	+	0.421869i	−0.271143	+	0.962539i	$0.587402\pi$
$38$	3.31230	−	6.31107i	0.537326	−	1.02379i
$39$	9.09195	−	1.66616i	1.45588	−	0.266799i
$40$	6.00850	+	8.70481i	0.950027	+	1.37635i
$41$	5.47083	+	9.04986i	0.854400	+	1.41335i	0.909871	+	0.414891i	$0.136180\pi$
$41$	5.47083	+	9.04986i	0.854400	+	1.41335i	−0.0554708	+	0.998460i	$0.517666\pi$
$42$	−3.54912	−	0.874780i	−0.547641	−	0.134981i
$43$	4.44334	−	11.7161i	0.677603	−	1.78669i	0.0627809	−	0.998027i	$-0.480003\pi$
$43$	4.44334	−	11.7161i	0.677603	−	1.78669i	0.614822	−	0.788666i	$-0.289228\pi$
$44$	1.28468	−	0.632929i	0.193673	−	0.0954176i
$45$	6.03353	+	7.70124i	0.899426	+	1.14803i
$46$	2.72333	+	5.18888i	0.401533	+	0.765058i
$47$	1.10086	+	0.975280i	0.160578	+	0.142259i	0.739586	−	0.673063i	$-0.235022\pi$
$47$	1.10086	+	0.975280i	0.160578	+	0.142259i	−0.579008	+	0.815322i	$0.696560\pi$
$48$	0.429570	−	7.10165i	0.0620032	−	1.02503i
$49$	−3.14436	+	4.55539i	−0.449194	+	0.650770i
$50$	−8.06634	−	3.63037i	−1.14075	−	0.513411i
$51$	0.658540	−	2.11333i	0.0922140	−	0.295925i
$52$	−1.65492			−0.229496
$53$	−6.08769	+	3.99250i	−0.836208	+	0.548412i
$53$	−6.08769	+	3.99250i	−0.836208	+	0.548412i
$54$			0.553520i			0.0753245i
$55$	−6.20943	+	9.70274i	−0.837279	+	1.30832i
$56$	3.36096	+	1.51265i	0.449128	+	0.202136i
$57$	−7.79781	+	11.2971i	−1.03285	+	1.49634i
$58$	10.7230	+	0.648621i	1.40800	+	0.0851682i
$59$	9.44742	−	10.6639i	1.22995	−	1.38833i	0.334964	−	0.942231i	$-0.391276\pi$
$59$	9.44742	−	10.6639i	1.22995	−	1.38833i	0.894986	−	0.446095i	$-0.147186\pi$
$60$	−1.68097	−	3.20282i	−0.217012	−	0.413482i
$61$	−0.159516	−	0.203607i	−0.0204239	−	0.0260692i	0.776864	−	0.629669i	$-0.216809\pi$
$61$	−0.159516	−	0.203607i	−0.0204239	−	0.0260692i	−0.797288	+	0.603600i	$0.793733\pi$
$62$	−6.17258	+	5.46843i	−0.783919	+	0.694492i
$63$	3.18752	+	1.20887i	0.401589	+	0.152303i
$64$	−2.13012	+	8.64224i	−0.266265	+	1.08028i
$65$	11.3918	−	6.88658i	1.41298	−	0.854176i
$66$	9.45372	−	3.31161i	1.16367	−	0.407631i
$67$	2.70579	−	0.495854i	0.330565	−	0.0605783i	−0.0124096	−	0.999923i	$-0.503950\pi$
$67$	2.70579	−	0.495854i	0.330565	−	0.0605783i	0.342974	+	0.939345i	$0.388566\pi$
$68$	−0.184176	+	0.350917i	−0.0223346	+	0.0425550i
$69$	−4.00212	−	10.5527i	−0.481799	−	1.27040i
$70$	−5.22576	+	0.634522i	−0.624598	+	0.0758399i
$71$	−0.812856	+	0.365837i	−0.0964683	+	0.0434169i	−0.458072	−	0.888915i	$-0.651460\pi$
$71$	−0.812856	+	0.365837i	−0.0964683	+	0.0434169i	0.361604	+	0.932332i	$0.382229\pi$
$72$	−1.54618	+	8.43725i	−0.182220	+	0.994340i
$73$	4.16084	−	5.31092i	0.486989	−	0.621596i	−0.479736	−	0.877413i	$-0.659268\pi$
$73$	4.16084	−	5.31092i	0.486989	−	0.621596i	0.966725	+	0.255817i	$0.0823444\pi$
$74$	9.04568	−	0.547163i	1.05154	−	0.0636064i
$75$	14.5791	+	8.81339i	1.68345	+	1.01768i
$76$	1.73783	−	1.73783i	0.199343	−	0.199343i
$77$	−0.102557	+	4.01275i	−0.0116875	+	0.457296i
$78$	−11.4908	−	1.39524i	−1.30108	−	0.157980i
$79$	−1.08459	−	3.48059i	−0.122026	−	0.391597i	0.873414	−	0.486978i	$-0.161901\pi$
$79$	−1.08459	−	3.48059i	−0.122026	−	0.391597i	−0.995441	+	0.0953811i	$0.969593\pi$
$80$	−3.04820	−	9.78202i	−0.340799	−	1.09366i
$81$	1.14705	−	9.44684i	0.127450	−	1.04965i
$82$	−3.16921	−	12.8580i	−0.349980	−	1.41993i
$83$	8.09299	+	8.09299i	0.888321	+	0.888321i	0.994362	−	0.106041i	$-0.0338175\pi$
$83$	8.09299	+	8.09299i	0.888321	+	0.888321i	−0.106041	+	0.994362i	$0.533818\pi$
$84$	−1.07864	−	0.652061i	−0.117689	−	0.0711457i
$85$	−0.192474	−	3.18198i	−0.0208768	−	0.345134i
$86$	−9.67726	+	12.3521i	−1.04353	+	1.33196i
$87$	−20.3505	−	3.72937i	−2.18181	−	0.399831i
$88$	−9.97792	+	1.56617i	−1.06365	+	0.166954i
$89$	0.798746	+	6.57827i	0.0846669	+	0.697295i	0.971804	+	0.235789i	$0.0757675\pi$
$89$	0.798746	+	6.57827i	0.0846669	+	0.697295i	−0.887137	+	0.461506i	$0.847309\pi$
$90$	−4.34440	−	11.4552i	−0.457940	−	1.20749i
$91$	2.15562	−	4.10719i	0.225971	−	0.430551i
$92$	0.364234	+	1.98756i	0.0379740	+	0.207218i
$93$	13.0707	−	9.02207i	1.35537	−	0.935545i
$94$	−0.952818	−	1.57615i	−0.0982757	−	0.162568i
$95$	−4.73093	+	19.1941i	−0.485383	+	1.96928i
$96$	2.04952	−	5.40413i	0.209178	−	0.551557i
$97$	−6.56096	+	5.81251i	−0.666165	+	0.590171i	−0.926931	−	0.375231i	$-0.877563\pi$
$97$	−6.56096	+	5.81251i	−0.666165	+	0.590171i	0.260766	+	0.965402i	$0.416025\pi$
$98$	5.45645	−	4.27485i	0.551185	−	0.431825i
$99$	−9.12473	+	2.00322i	−0.917070	+	0.201331i
$100$	−2.28304	−	2.02260i	−0.228304	−	0.202260i
$101$	−3.85910	−	0.233433i	−0.383995	−	0.0232274i	−0.132746	−	0.991150i	$-0.542380\pi$
$101$	−3.85910	−	0.233433i	−0.383995	−	0.0232274i	−0.251248	+	0.967923i	$0.580841\pi$
$102$	−1.57467	+	2.28130i	−0.155915	+	0.225882i
$103$	3.88123	−	8.62373i	0.382429	−	0.849722i	−0.615665	−	0.788008i	$-0.711113\pi$
$103$	3.88123	−	8.62373i	0.382429	−	0.849722i	0.998094	−	0.0617139i	$-0.0196566\pi$
$104$	11.1428	+	3.47224i	1.09264	+	0.340482i
$105$	10.1383			0.989401
$106$	8.76571	−	2.50533i	0.851401	−	0.243339i
$107$		−	17.4107i		−	1.68316i	−0.540132	−	0.841580i	$-0.681626\pi$
$107$		−	17.4107i		−	1.68316i	0.540132	−	0.841580i	$-0.318374\pi$
$108$	−0.0567821	+	0.182220i	−0.00546386	+	0.0175341i
$109$	−0.259369	+	0.576295i	−0.0248431	+	0.0551991i	−0.923904	−	0.382625i	$-0.875020\pi$
$109$	−0.259369	+	0.576295i	−0.0248431	+	0.0551991i	0.899061	+	0.437824i	$0.144251\pi$
$110$	11.0386	−	9.28699i	1.05249	−	0.885479i
$111$	−17.4213	−	1.05379i	−1.65356	−	0.100022i
$112$	−2.67238	−	2.36753i	−0.252516	−	0.223710i
$113$	1.31048	+	2.49692i	0.123280	+	0.234890i	0.939273	−	0.343172i	$-0.111501\pi$
$113$	1.31048	+	2.49692i	0.123280	+	0.234890i	−0.815993	+	0.578062i	$0.803809\pi$
$114$	13.5317	−	10.6014i	1.26736	−	0.992910i
$115$	−10.7780	−	12.1659i	−1.00506	−	1.13447i
$116$	3.46350	+	1.31353i	0.321578	+	0.121958i
$117$	10.4816	+	2.58349i	0.969026	+	0.238843i
$118$	−15.2680	+	9.22983i	−1.40553	+	0.849675i
$119$	−0.631011	−	0.914177i	−0.0578447	−	0.0838025i
$120$	4.59828	+	25.0920i	0.419763	+	2.29057i
$121$	−5.77811	−	9.36020i	−0.525283	−	0.850927i
$122$	0.114858	+	0.302855i	0.0103987	+	0.0274192i
$123$	3.07424	+	25.3186i	0.277195	+	2.28291i
$124$	−2.59300	+	1.16702i	−0.232858	+	0.104801i
$125$	7.05023	+	1.29200i	0.630592	+	0.115560i
$126$	−3.36054	−	2.63282i	−0.299381	−	0.234550i
$127$	−21.7454	+	1.31535i	−1.92959	+	0.116719i	−0.980279	−	0.197618i	$-0.936680\pi$
$127$	−21.7454	+	1.31535i	−1.92959	+	0.116719i	−0.949312	+	0.314336i	$0.898218\pi$
$128$	3.28689	−	5.43719i	0.290523	−	0.480584i
$129$	21.3693	−	21.3693i	1.88146	−	1.88146i
$130$	−16.1854	+	3.98934i	−1.41955	+	0.349888i
$131$	−1.26857	+	10.4476i	−0.110835	+	0.912809i	0.826153	+	0.563446i	$0.190525\pi$
$131$	−1.26857	+	10.4476i	−0.110835	+	0.912809i	−0.936988	+	0.349362i	$0.886398\pi$
$132$	3.45190	−	0.120392i	0.300450	−	0.0104788i
$133$	2.04934	+	6.57658i	0.177701	+	0.570262i
$134$	−3.41971	−	0.415228i	−0.295418	−	0.0358702i
$135$	−0.367404	−	1.49062i	−0.0316211	−	0.128292i
$136$	1.97635	−	1.97635i	0.169471	−	0.169471i
$137$	−1.71464	+	2.83636i	−0.146491	+	0.242326i	−0.920406	−	0.390963i	$-0.872142\pi$
$137$	−1.71464	+	2.83636i	−0.146491	+	0.242326i	0.773915	+	0.633290i	$0.218296\pi$
$138$	0.853352	+	14.1076i	0.0726421	+	1.20092i
$139$	−18.1409	−	14.2125i	−1.53869	−	1.20549i	−0.899891	−	0.436115i	$-0.856354\pi$
$139$	−18.1409	−	14.2125i	−1.53869	−	1.20549i	−0.638800	−	0.769373i	$-0.720569\pi$
$140$	−1.78543	−	0.327191i	−0.150896	−	0.0276527i
$141$	1.45578	+	3.23461i	0.122599	+	0.272403i
$142$	1.10812	−	0.134551i	0.0929918	−	0.0112912i
$143$	1.20927	+	12.6535i	0.101124	+	1.05814i
$144$	3.86146	−	7.35741i	0.321789	−	0.613117i
$145$	−29.3073	+	5.37076i	−2.43384	+	0.446017i
$146$	−6.95321	+	4.79945i	−0.575452	+	0.397205i
$147$	−11.4245	+	6.90633i	−0.942275	+	0.569625i
$148$	3.03399	+	0.747811i	0.249392	+	0.0614697i
$149$	−4.73740	+	12.4915i	−0.388103	+	1.02334i	0.588538	+	0.808469i	$0.299704\pi$
$149$	−4.73740	+	12.4915i	−0.388103	+	1.02334i	−0.976642	+	0.214875i	$0.931066\pi$
$150$	−14.1470	−	15.9686i	−1.15509	−	1.30383i
$151$	−4.23303	+	3.31637i	−0.344479	+	0.269882i	−0.774015	−	0.633168i	$-0.781754\pi$
$151$	−4.23303	+	3.31637i	−0.344479	+	0.269882i	0.429535	+	0.903050i	$0.358677\pi$
$152$	−15.3473	+	8.05487i	−1.24483	+	0.653336i
$153$	1.71431	−	1.93506i	0.138594	−	0.156440i
$154$	1.61759	−	4.75934i	0.130349	−	0.383518i
$155$	12.9929	−	18.8235i	1.04362	−	1.51194i
$156$	−3.63968	−	1.63809i	−0.291408	−	0.131152i
$157$	−16.0398	−	4.99819i	−1.28011	−	0.398899i	−0.419312	−	0.907842i	$-0.637729\pi$
$157$	−16.0398	−	4.99819i	−1.28011	−	0.398899i	−0.860800	+	0.508943i	$0.830036\pi$
$158$			4.56537i			0.363202i
$159$	−17.3406	+	2.75498i	−1.37520	+	0.218484i
$160$		−	8.32352i		−	0.658032i
$161$	−5.40718	−	1.68494i	−0.426145	−	0.132792i
$162$	−4.89087	+	10.8671i	−0.384263	+	0.853797i
$163$	7.55425	+	5.21432i	0.591694	+	0.408417i	0.825938	−	0.563761i	$-0.190646\pi$
$163$	7.55425	+	5.21432i	0.591694	+	0.408417i	−0.234244	+	0.972178i	$0.575261\pi$
$164$	0.275707	−	4.55799i	0.0215291	−	0.355919i
$165$	−23.2605	+	15.1931i	−1.81083	+	1.18278i
$166$	−6.66067	−	12.6909i	−0.516969	−	0.985001i
$167$	0.450459	+	0.574969i	0.0348576	+	0.0444924i	0.804298	−	0.594226i	$-0.202542\pi$
$167$	0.450459	+	0.574969i	0.0348576	+	0.0444924i	−0.769440	+	0.638719i	$0.779465\pi$
$168$	5.89454	+	6.65356i	0.454774	+	0.513333i
$169$	0.598784	−	1.57886i	0.0460603	−	0.121451i
$170$	−0.955348	+	3.87600i	−0.0732719	+	0.297276i
$171$	−13.7197	+	8.29382i	−1.04917	+	0.634245i
$172$	−4.45290	+	3.07362i	−0.339531	+	0.234361i
$173$	−3.00514	−	16.3985i	−0.228477	−	1.24676i	−0.875098	−	0.483945i	$-0.839203\pi$
$173$	−3.00514	−	16.3985i	−0.228477	−	1.24676i	0.646622	−	0.762811i	$-0.276181\pi$
$174$	22.9412	+	12.0405i	1.73917	+	0.912784i
$175$	7.99349	−	3.03153i	0.604251	−	0.229162i
$176$	9.67920	+	1.42708i	0.729597	+	0.107570i
$177$	31.3333	−	14.1020i	2.35515	−	1.05997i
$178$	1.49581	−	8.16239i	0.112116	−	0.611797i
$179$	7.98346	+	6.25465i	0.596712	+	0.467494i	0.869061	−	0.494704i	$-0.164724\pi$
$179$	7.98346	+	6.25465i	0.596712	+	0.467494i	−0.272349	+	0.962198i	$0.587801\pi$
$180$	−0.255067	−	4.21675i	−0.0190115	−	0.314298i
$181$	−8.47380	−	5.12259i	−0.629853	−	0.380759i	0.166108	−	0.986108i	$-0.446880\pi$
$181$	−8.47380	−	5.12259i	−0.629853	−	0.380759i	−0.795961	+	0.605348i	$0.793034\pi$
$182$	−4.10737	+	4.10737i	−0.304458	+	0.304458i
$183$	−0.149289	−	0.605688i	−0.0110357	−	0.0447737i
$184$	1.71773	−	14.1468i	0.126633	−	1.04291i
$185$	−23.9966	+	7.47765i	−1.76427	+	0.549767i
$186$	−18.9882	+	5.91698i	−1.39229	+	0.433854i
$187$	2.81770	+	1.15179i	0.206051	+	0.0842273i
$188$	−0.151983	−	0.616617i	−0.0110845	−	0.0449714i
$189$	−0.378274	−	0.378274i	−0.0275154	−	0.0275154i
$190$	12.8071	−	21.1855i	0.929122	−	1.53695i
$191$	−3.50926	+	0.212271i	−0.253921	+	0.0153594i	−0.186849	−	0.982389i	$-0.559827\pi$
$191$	−3.50926	+	0.212271i	−0.253921	+	0.0153594i	−0.0670726	+	0.997748i	$0.521366\pi$
$192$	−13.2391	+	16.8985i	−0.955453	+	1.21955i
$193$	−0.763892	−	0.139988i	−0.0549862	−	0.0100766i	0.152692	−	0.988274i	$-0.451206\pi$
$193$	−0.763892	−	0.139988i	−0.0549862	−	0.0100766i	−0.207678	+	0.978197i	$0.566591\pi$
$194$	10.0096	−	4.50496i	0.718648	−	0.323437i
$195$	31.8706	−	3.86980i	2.28230	−	0.277122i
$196$	2.23481	−	0.847550i	0.159629	−	0.0605393i
$197$	−0.590426	−	0.309880i	−0.0420661	−	0.0220780i	0.443559	−	0.896245i	$-0.353716\pi$
$197$	−0.590426	−	0.309880i	−0.0420661	−	0.0220780i	−0.485625	+	0.874167i	$0.661408\pi$
$198$	11.6556	+	1.00448i	0.828328	+	0.0713852i
$199$	1.32983	−	0.917918i	0.0942694	−	0.0650695i	−0.519998	−	0.854168i	$-0.674067\pi$
$199$	1.32983	−	0.917918i	0.0942694	−	0.0650695i	0.614267	+	0.789098i	$0.289452\pi$
$200$	11.1284	+	18.4086i	0.786896	+	1.30169i
$201$	6.44168	+	1.58773i	0.454361	+	0.111990i
$202$	4.52687	+	1.71682i	0.318510	+	0.120795i
$203$	−7.77132	+	6.88479i	−0.545440	+	0.483218i
$204$	−0.752408	+	0.589474i	−0.0526791	+	0.0412714i
$205$	17.0692	+	32.5226i	1.19216	+	2.27148i
$206$	−7.85312	+	8.86434i	−0.547153	+	0.617608i
$207$	0.795854	−	13.1570i	0.0553157	−	0.914478i
$208$	−9.30452	−	6.42245i	−0.645153	−	0.445317i
$209$	−14.5573	−	12.0176i	−1.00695	−	0.831277i
$210$	−12.1211	−	3.77710i	−0.836438	−	0.260645i
$211$	8.82286			0.607391			0.303695	−	0.952769i	$-0.401779\pi$
$211$	8.82286			0.607391			0.303695	+	0.952769i	$0.401779\pi$
$212$	3.14270	+	0.0744594i	0.215842	+	0.00511389i
$213$	−2.14984			−0.147305
$214$	−6.48648	+	20.8158i	−0.443407	+	1.42294i
$215$	17.8618	−	39.6873i	1.21816	−	2.70665i
$216$	0.764645	−	1.10778i	0.0520275	−	0.0753748i
$217$	0.481215	−	7.95543i	0.0326670	−	0.540050i
$218$	0.524798	−	0.592374i	0.0355438	−	0.0401206i
$219$	14.4079	−	7.56184i	0.973594	−	0.510982i
$220$	4.58664	−	1.92491i	0.309231	−	0.129778i
$221$	−2.33257	−	2.63293i	−0.156906	−	0.177110i
$222$	20.4359	+	7.75030i	1.37156	+	0.520166i
$223$	3.05710	−	12.4031i	0.204719	−	0.830576i	−0.775288	−	0.631608i	$-0.782395\pi$
$223$	3.05710	−	12.4031i	0.204719	−	0.830576i	0.980006	−	0.198967i	$-0.0637588\pi$
$224$	−1.50048	−	2.48209i	−0.100255	−	0.165842i
$225$	11.3024	+	16.3744i	0.753496	+	1.09163i
$226$	−0.636539	−	3.47348i	−0.0423419	−	0.231052i
$227$	−1.72508	+	3.28687i	−0.114498	+	0.218158i	−0.935961	−	0.352105i	$-0.885466\pi$
$227$	−1.72508	+	3.28687i	−0.114498	+	0.218158i	0.821463	+	0.570262i	$0.193158\pi$
$228$	5.54218	−	2.10187i	0.367040	−	0.139200i
$229$	−8.15613	+	0.990334i	−0.538972	+	0.0654431i	−0.385497	−	0.922709i	$-0.625970\pi$
$229$	−8.15613	+	0.990334i	−0.538972	+	0.0654431i	−0.153476	+	0.988152i	$0.549047\pi$
$230$	8.35347	+	18.5606i	0.550811	+	1.22385i
$231$	−4.19750	+	8.72378i	−0.276175	+	0.573982i
$232$	−20.5643	−	16.1111i	−1.35011	−	1.05774i
$233$	5.89066	−	0.356319i	0.385910	−	0.0233433i	0.133715	−	0.991020i	$-0.457309\pi$
$233$	5.89066	−	0.356319i	0.385910	−	0.0233433i	0.252195	+	0.967677i	$0.418848\pi$
$234$	−11.5691	−	6.99374i	−0.756293	−	0.457195i
$235$	3.61210	+	3.61210i	0.235628	+	0.235628i
$236$	−5.97310	+	1.47224i	−0.388815	+	0.0958344i
$237$	1.05983	−	8.72846i	0.0688431	−	0.566974i
$238$	0.413838	+	1.32805i	0.0268252	+	0.0860849i
$239$	−12.4283	+	3.87282i	−0.803920	+	0.250512i	−0.671810	−	0.740723i	$-0.734483\pi$
$239$	−12.4283	+	3.87282i	−0.803920	+	0.250512i	−0.132110	+	0.991235i	$0.542175\pi$
$240$	2.97859	−	24.5309i	0.192267	−	1.58346i
$241$	3.15256	−	0.777036i	0.203074	−	0.0500533i	−0.136466	−	0.990645i	$-0.543575\pi$
$241$	3.15256	−	0.777036i	0.203074	−	0.0500533i	0.339541	+	0.940591i	$0.389728\pi$
$242$	3.42097	+	13.3435i	0.219908	+	0.857752i
$243$	11.1875	−	18.5064i	0.717677	−	1.18718i
$244$	0.00674350	+	0.111483i	0.000431708	+	0.00713699i
$245$	−11.8566	+	15.1338i	−0.757491	+	0.966866i
$246$	5.75713	−	31.4156i	0.367061	−	2.00299i
$247$	8.95255	+	19.8917i	0.569637	+	1.26568i
$248$	19.9076	−	2.41722i	1.26414	−	0.153494i
$249$	9.78831	+	25.8097i	0.620309	+	1.63562i
$250$	−7.94774	−	4.17129i	−0.502659	−	0.263816i
$251$	2.36504	+	12.9056i	0.149280	+	0.814593i	0.969971	+	0.243221i	$0.0782041\pi$
$251$	2.36504	+	12.9056i	0.149280	+	0.814593i	−0.820691	+	0.571372i	$0.806411\pi$
$252$	−0.836215	−	1.21147i	−0.0526766	−	0.0763152i
$253$	14.9308	−	4.23727i	0.938690	−	0.266395i
$254$	26.4883	+	6.52877i	1.66202	+	0.409652i
$255$	2.72631	−	7.18868i	0.170728	−	0.450173i
$256$	7.36944	−	6.52875i	0.460590	−	0.408047i
$257$	4.38819	+	5.60111i	0.273728	+	0.349388i	0.904418	−	0.426647i	$-0.140305\pi$
$257$	4.38819	+	5.60111i	0.273728	+	0.349388i	−0.630691	+	0.776034i	$0.717228\pi$
$258$	−33.5098	+	17.5873i	−2.08623	+	1.09494i
$259$	−5.80786	+	6.55572i	−0.360883	+	0.407352i
$260$	−5.73751	−	0.347055i	−0.355825	−	0.0215235i
$261$	−19.8859	−	13.7262i	−1.23091	−	0.849633i
$262$	5.40897	−	12.0182i	0.334167	−	0.742489i
$263$	2.81532	−	9.03468i	0.173600	−	0.557102i	−0.826382	−	0.563110i	$-0.809605\pi$
$263$	2.81532	−	9.03468i	0.173600	−	0.557102i	0.999982	+	0.00600803i	$0.00191243\pi$
$264$	−23.4948	−	6.43194i	−1.44600	−	0.395858i
$265$	−21.9429	+	12.5651i	−1.34794	+	0.771868i
$266$		−	8.62628i		−	0.528911i
$267$	−4.75467	+	15.2583i	−0.290981	+	0.933791i
$268$	−1.08318	−	0.487500i	−0.0661658	−	0.0297788i
$269$	20.3902	+	14.0744i	1.24321	+	0.858129i	0.993899	−	0.110293i	$-0.0351790\pi$
$269$	20.3902	+	14.0744i	1.24321	+	0.858129i	0.249315	+	0.968422i	$0.419794\pi$
$270$	−0.116079	+	1.91902i	−0.00706436	+	0.116788i
$271$	8.55887	+	7.58249i	0.519914	+	0.460604i	0.881803	−	0.471617i	$-0.156330\pi$
$271$	8.55887	+	7.58249i	0.519914	+	0.460604i	−0.361889	+	0.932221i	$0.617868\pi$
$272$	−2.39735	+	1.25822i	−0.145360	+	0.0762911i
$273$	8.80630	−	6.89930i	0.532982	−	0.417564i
$274$	3.10668	−	2.75228i	0.187681	−	0.166271i
$275$	−13.7966	+	18.9341i	−0.831966	+	1.14177i
$276$	−1.16628	+	4.73179i	−0.0702019	+	0.284820i
$277$	5.30752	−	3.20851i	0.318898	−	0.192780i	−0.348830	−	0.937186i	$-0.613421\pi$
$277$	5.30752	−	3.20851i	0.318898	−	0.192780i	0.667728	+	0.744406i	$0.267267\pi$
$278$	16.3938	+	23.7506i	0.983238	+	1.42447i
$279$	18.2449	−	3.34350i	1.09229	−	0.200170i
$280$	11.3350	+	5.94909i	0.677398	+	0.355526i
$281$	−0.887703	+	0.336661i	−0.0529559	+	0.0200835i	−0.380941	−	0.924600i	$-0.624400\pi$
$281$	−0.887703	+	0.336661i	−0.0529559	+	0.0200835i	0.327985	+	0.944683i	$0.393631\pi$
$282$	−0.535420	−	4.40958i	−0.0318838	−	0.262587i
$283$	−6.26418	−	13.9184i	−0.372367	−	0.827365i	−0.998851	−	0.0479304i	$-0.984737\pi$
$283$	−6.26418	−	13.9184i	−0.372367	−	0.827365i	0.626484	−	0.779434i	$-0.284493\pi$
$284$	0.378600	+	0.0693811i	0.0224658	+	0.00411701i
$285$	−29.4037	+	37.5310i	−1.74172	+	2.22315i
$286$	3.26838	−	15.5788i	0.193264	−	0.921192i
$287$	10.9529	+	6.62127i	0.646531	+	0.390841i
$288$	4.77307	−	4.77307i	0.281256	−	0.281256i
$289$	15.6881	−	3.86677i	0.922831	−	0.227457i
$290$	37.0399	+	4.49746i	2.17506	+	0.264100i
$291$	−20.1830	+	6.28927i	−1.18315	+	0.368684i
$292$	−2.78136	+	0.866706i	−0.162767	+	0.0507202i
$293$	−10.4999	−	1.27492i	−0.613413	−	0.0744818i	−0.192067	−	0.981382i	$-0.561519\pi$
$293$	−10.4999	−	1.27492i	−0.613413	−	0.0744818i	−0.421346	+	0.906900i	$0.638442\pi$
$294$	16.2318	−	4.00078i	0.946658	−	0.233330i
$295$	34.9900	−	34.9900i	2.03720	−	2.03720i
$296$	−18.8593	−	11.4008i	−1.09617	−	0.662661i
$297$	1.43475	+	0.301006i	0.0832526	+	0.0174662i
$298$	10.3177	−	13.1696i	0.597689	−	0.762893i
$299$	−17.6410	−	3.23284i	−1.02021	−	0.186960i
$300$	−3.01909	−	6.70815i	−0.174307	−	0.387295i
$301$	−1.82798	−	15.0548i	−0.105363	−	0.867744i
$302$	6.29644	−	2.38792i	0.362319	−	0.137410i
$303$	−8.25630	−	4.33324i	−0.474312	−	0.248938i
$304$	16.5149	−	3.02646i	0.947194	−	0.173580i
$305$	−0.510333	−	0.739345i	−0.0292216	−	0.0423347i
$306$	−2.77051	+	1.67483i	−0.158379	+	0.0957436i
$307$	−0.667411	+	2.70779i	−0.0380911	+	0.154542i	−0.986908	−	0.161286i	$-0.948436\pi$
$307$	−0.667411	+	2.70779i	−0.0380911	+	0.154542i	0.948817	+	0.315828i	$0.102282\pi$
$308$	1.02075	−	1.40085i	0.0581624	−	0.0798207i
$309$	17.0720	−	15.1245i	0.971195	−	0.860404i
$310$	−22.5468	+	17.6643i	−1.28057	+	1.00326i
$311$	−0.974713	+	0.511569i	−0.0552709	+	0.0290084i	−0.492132	−	0.870520i	$-0.663782\pi$
$311$	−0.974713	+	0.511569i	−0.0552709	+	0.0290084i	0.436861	+	0.899529i	$0.356090\pi$
$312$	21.0696	+	18.6660i	1.19283	+	1.05676i
$313$	0.702175	−	11.6083i	0.0396893	−	0.656142i	−0.922877	−	0.385095i	$-0.874169\pi$
$313$	0.702175	−	11.6083i	0.0396893	−	0.656142i	0.962566	−	0.271047i	$-0.0873698\pi$
$314$	17.3146	+	11.9514i	0.977121	+	0.674458i
$315$	10.7974	+	4.85952i	0.608365	+	0.273803i
$316$	−0.468333	+	1.50293i	−0.0263458	+	0.0845466i
$317$			11.9791i			0.672814i	0.941717	+	0.336407i	$0.109212\pi$
$317$			11.9791i			0.672814i	−0.941717	+	0.336407i	$0.890788\pi$
$318$	21.7584	+	3.16657i	1.22015	+	0.177572i
$319$	7.51247	−	27.4418i	0.420617	−	1.53644i
$320$	−9.19738	+	29.5154i	−0.514149	+	1.64996i
$321$	17.2337	−	38.2916i	0.961890	−	2.13723i
$322$	5.83695	+	4.02895i	0.325280	+	0.224525i
$323$	5.21427	+	0.315405i	0.290130	+	0.0175496i
$324$	−2.72487	+	3.07574i	−0.151382	+	0.170874i
$325$	23.9710	−	12.5810i	1.32967	−	0.697866i
$326$	−7.08904	−	9.04849i	−0.392625	−	0.501149i
$327$	−1.14087	+	1.01072i	−0.0630901	+	0.0558930i
$328$	−11.4196	+	30.1111i	−0.630544	+	1.66261i
$329$	1.72829	+	0.425985i	0.0952838	+	0.0234853i
$330$	33.4699	−	9.49859i	1.84246	−	0.522880i
$331$	11.7618	+	17.0399i	0.646486	+	0.936597i	0.999999	+	0.00116762i	$0.000371665\pi$
$331$	11.7618	+	17.0399i	0.646486	+	0.936597i	−0.353513	+	0.935430i	$0.615013\pi$
$332$	−0.890837	−	4.86114i	−0.0488910	−	0.266790i
$333$	−18.0487	−	9.47269i	−0.989063	−	0.519100i
$334$	−0.324350	−	0.855239i	−0.0177476	−	0.0467966i
$335$	9.48480	−	1.15166i	0.518210	−	0.0629221i
$336$	−3.53396	−	7.85213i	−0.192793	−	0.428369i
$337$	−4.36416	+	23.8144i	−0.237731	+	1.29725i	0.620588	+	0.784137i	$0.286894\pi$
$337$	−4.36416	+	23.8144i	−0.237731	+	1.29725i	−0.858318	+	0.513117i	$0.828491\pi$
$338$	−1.30411	+	1.66457i	−0.0709341	+	0.0905406i
$339$	0.410638	+	6.78865i	0.0223028	+	0.368709i
$340$	−0.712118	+	1.17799i	−0.0386200	+	0.0638853i
$341$	10.8178	+	18.9734i	0.585814	+	1.02747i
$342$	19.4928	−	4.80454i	1.05405	−	0.259800i
$343$	−1.82868	+	15.0606i	−0.0987397	+	0.813194i
$344$	36.4309	−	11.3523i	1.96422	−	0.612077i
$345$	−11.6621	−	37.4250i	−0.627866	−	2.01489i
$346$	−2.51650	+	20.7252i	−0.135288	+	1.11420i
$347$	30.9504	−	7.62858i	1.66150	−	0.409524i	0.706878	−	0.707335i	$-0.250103\pi$
$347$	30.9504	−	7.62858i	1.66150	−	0.409524i	0.954625	+	0.297811i	$0.0962567\pi$
$348$	6.31714	+	6.31714i	0.338634	+	0.338634i
$349$	−4.95796	−	2.99719i	−0.265394	−	0.160436i	0.378384	−	0.925649i	$-0.376480\pi$
$349$	−4.95796	−	2.99719i	−0.265394	−	0.160436i	−0.643777	+	0.765213i	$0.722634\pi$
$350$	−10.6862	+	0.646398i	−0.571203	+	0.0345514i
$351$	−1.33352	−	1.04475i	−0.0711780	−	0.0557644i
$352$	7.16217	+	3.44612i	0.381745	+	0.183679i
$353$	−1.78433	−	3.96462i	−0.0949704	−	0.211015i	0.858290	−	0.513164i	$-0.171527\pi$
$353$	−1.78433	−	3.96462i	−0.0949704	−	0.211015i	−0.953261	+	0.302149i	$0.902296\pi$
$354$	−42.7150	+	5.18655i	−2.27028	+	0.275662i
$355$	−2.89484	+	1.09787i	−0.153642	+	0.0582689i
$356$	1.32975	−	2.53363i	0.0704768	−	0.134282i
$357$	−0.482910	−	2.63515i	−0.0255583	−	0.139467i
$358$	−7.21462	−	10.4522i	−0.381304	−	0.552415i
$359$	−8.91857	−	14.7531i	−0.470704	−	0.778640i	0.526745	−	0.850023i	$-0.323412\pi$
$359$	−8.91857	−	14.7531i	−0.470704	−	0.778640i	−0.997449	+	0.0713838i	$0.977258\pi$
$360$	−7.12992	+	28.9272i	−0.375780	+	1.52460i
$361$	−12.5241	−	4.74975i	−0.659161	−	0.249987i
$362$	8.22260	+	9.28140i	0.432170	+	0.487820i
$363$	−3.44287	−	26.3053i	−0.180704	−	1.38067i
$364$	−1.77350	+	0.930806i	−0.0929568	+	0.0487875i
$365$	15.5391	−	17.5401i	0.813356	−	0.918089i
$366$	−0.0471670	+	0.779763i	−0.00246546	+	0.0407589i
$367$	6.38916	−	9.25630i	0.333511	−	0.483175i	−0.619970	−	0.784625i	$-0.712855\pi$
$367$	6.38916	−	9.25630i	0.333511	−	0.483175i	0.953482	+	0.301450i	$0.0974708\pi$
$368$	−5.66552	+	12.5883i	−0.295336	+	0.656209i
$369$	−8.86167	+	28.4381i	−0.461320	+	1.48043i
$370$	31.4756			1.63634
$371$	−4.27833	+	7.70259i	−0.222120	+	0.399899i
$372$	−6.85796			−0.355569
$373$	26.6396	+	8.30122i	1.37934	+	0.429821i	0.895394	−	0.445275i	$-0.146894\pi$
$373$	26.6396	+	8.30122i	1.37934	+	0.429821i	0.483950	+	0.875096i	$0.339202\pi$
$374$	−2.93966	−	2.42680i	−0.152006	−	0.125487i
$375$	14.2268	+	9.82005i	0.734668	+	0.507105i
$376$	−0.270425	+	4.47066i	−0.0139461	+	0.230556i
$377$	−21.8018	+	24.6092i	−1.12285	+	1.26744i
$378$	0.311326	+	0.593182i	0.0160129	+	0.0305100i
$379$	−11.5491	+	9.04814i	−0.593237	+	0.464772i	−0.867880	−	0.496775i	$-0.834518\pi$
$379$	−11.5491	+	9.04814i	−0.593237	+	0.464772i	0.274642	+	0.961546i	$0.411441\pi$
$380$	6.38940	−	5.66051i	0.327769	−	0.290378i
$381$	−49.1268	−	18.6313i	−2.51684	−	0.954513i
$382$	4.27467	+	1.05361i	0.218711	+	0.0539074i
$383$	5.58731	+	9.24255i	0.285498	+	0.472272i	0.965307	−	0.261117i	$-0.0840910\pi$
$383$	5.58731	+	9.24255i	0.285498	+	0.472272i	−0.679809	+	0.733390i	$0.737937\pi$
$384$	12.6108	−	8.70460i	0.643541	−	0.444205i
$385$	−1.19708	+	13.8905i	−0.0610089	+	0.707924i
$386$	0.861136	+	0.451959i	0.0438307	+	0.0230041i
$387$	33.0012	−	12.5157i	1.67754	−	0.636208i
$388$	3.75732	−	0.456221i	0.190749	−	0.0231611i
$389$	8.04949	−	3.62278i	0.408125	−	0.183682i	−0.195942	−	0.980615i	$-0.562776\pi$
$389$	8.04949	−	3.62278i	0.408125	−	0.183682i	0.604067	+	0.796933i	$0.293546\pi$
$390$	−39.5454	−	7.24697i	−2.00246	−	0.366965i
$391$	−2.64877	+	3.38091i	−0.133954	+	0.170980i
$392$	−16.8256	+	1.01776i	−0.849819	+	0.0514046i
$393$	−13.1313	+	21.7218i	−0.662386	+	1.09572i
$394$	0.590451	+	0.590451i	0.0297465	+	0.0297465i
$395$	−3.03031	−	12.2944i	−0.152471	−	0.618600i
$396$	3.73401	+	1.52635i	0.187641	+	0.0767021i
$397$	−5.67784	+	1.76929i	−0.284962	+	0.0887979i	−0.436653	−	0.899630i	$-0.643836\pi$
$397$	−5.67784	+	1.76929i	−0.284962	+	0.0887979i	0.151690	+	0.988428i	$0.451528\pi$
$398$	−1.93189	+	0.602001i	−0.0968369	+	0.0301756i
$399$	−2.00254	+	16.4924i	−0.100253	+	0.825655i
$400$	−4.98670	−	20.2318i	−0.249335	−	1.01159i
$401$	23.9940	−	23.9940i	1.19820	−	1.19820i	0.223500	−	0.974704i	$-0.428252\pi$
$401$	23.9940	−	23.9940i	1.19820	−	1.19820i	0.974704	−	0.223500i	$-0.0717482\pi$
$402$	−7.10999	−	4.29814i	−0.354614	−	0.214372i
$403$	−1.52385	−	25.1922i	−0.0759082	−	1.25491i
$404$	1.31414	+	1.02956i	0.0653809	+	0.0512227i
$405$	5.95788	−	32.5111i	0.296049	−	1.61549i
$406$	11.8562	−	5.33603i	0.588412	−	0.264823i
$407$	3.50081	−	23.7444i	0.173529	−	1.17696i
$408$	6.30287	−	2.39036i	0.312039	−	0.118341i
$409$	2.09281	+	1.09839i	0.103483	+	0.0543120i	0.515671	−	0.856787i	$-0.327543\pi$
$409$	2.09281	+	1.09839i	0.103483	+	0.0543120i	−0.412188	+	0.911099i	$0.635235\pi$
$410$	−8.29099	−	45.2424i	−0.409463	−	2.23437i
$411$	−6.57853	+	4.54083i	−0.324495	+	0.223983i
$412$	−3.49460	+	2.11256i	−0.172167	+	0.104078i
$413$	4.12647	−	16.7417i	0.203050	−	0.823807i
$414$	−5.85324	+	15.4337i	−0.287671	+	0.758526i
$415$	26.3607	+	29.7551i	1.29400	+	1.46062i
$416$	−5.66428	−	7.22992i	−0.277714	−	0.354476i
$417$	−25.8295	−	49.2141i	−1.26488	−	2.41002i
$418$	12.9271	+	19.7914i	0.632287	+	0.968029i
$419$	−1.51384	+	25.0268i	−0.0739561	+	1.22264i	0.752099	+	0.659051i	$0.229042\pi$
$419$	−1.51384	+	25.0268i	−0.0739561	+	1.22264i	−0.826055	+	0.563590i	$0.809420\pi$
$420$	−3.60284	−	2.48686i	−0.175801	−	0.121346i
$421$	−14.7803	+	32.8404i	−0.720346	+	1.60054i	0.0770073	+	0.997031i	$0.475464\pi$
$421$	−14.7803	+	32.8404i	−0.720346	+	1.60054i	−0.797353	+	0.603513i	$0.793767\pi$
$422$	−10.5484	−	3.28701i	−0.513487	−	0.160009i
$423$			4.14267i			0.201424i
$424$	−21.0040	−	7.09515i	−1.02005	−	0.344571i
$425$		−	6.48307i		−	0.314475i
$426$	2.57029	+	0.800936i	0.124531	+	0.0388055i
$427$	−0.285464	−	0.128477i	−0.0138146	−	0.00621743i
$428$	−4.27073	+	6.18722i	−0.206434	+	0.299071i
$429$	−9.86529	+	29.0260i	−0.476301	+	1.40139i
$430$	−36.1409	+	40.7946i	−1.74287	+	1.96729i
$431$	−11.0651	+	5.80740i	−0.532986	+	0.279733i	−0.709669	−	0.704535i	$-0.751156\pi$
$431$	−11.0651	+	5.80740i	−0.532986	+	0.279733i	0.176683	+	0.984268i	$0.443463\pi$
$432$	−1.02641	+	0.804142i	−0.0493833	+	0.0386893i
$433$	0.652247	+	0.736235i	0.0313450	+	0.0353812i	0.763974	−	0.645247i	$-0.223245\pi$
$433$	0.652247	+	0.736235i	0.0313450	+	0.0353812i	−0.732629	+	0.680628i	$0.761707\pi$
$434$	−3.53917	+	9.33203i	−0.169886	+	0.447952i
$435$	−69.7720	−	17.1972i	−3.34531	−	0.824545i
$436$	0.233533	−	0.141175i	0.0111842	−	0.00676108i
$437$	21.9196	−	15.1300i	1.04856	−	0.723767i
$438$	−20.0429	+	3.67300i	−0.957687	+	0.175503i
$439$	−17.6632	+	33.6545i	−0.843021	+	1.60624i	−0.0486441	+	0.998816i	$0.515490\pi$
$439$	−17.6632	+	33.6545i	−0.843021	+	1.60624i	−0.794377	+	0.607426i	$0.792202\pi$
$440$	−34.9213	+	3.33734i	−1.66481	+	0.159102i
$441$	−15.4775	+	1.87931i	−0.737024	+	0.0894909i
$442$	1.80785	+	4.01688i	0.0859906	+	0.191063i
$443$	−38.2975	−	7.01827i	−1.81957	−	0.333448i	−0.841264	−	0.540625i	$-0.818188\pi$
$443$	−38.2975	−	7.01827i	−1.81957	−	0.333448i	−0.978304	+	0.207177i	$0.933572\pi$
$444$	5.93248	+	4.64780i	0.281543	+	0.220575i
$445$	1.38967	+	22.9740i	0.0658766	+	1.08907i
$446$	−8.27585	+	13.6899i	−0.391873	+	0.648237i
$447$	−22.7835	+	22.7835i	−1.07762	+	1.07762i
$448$	2.57806	+	10.4596i	0.121802	+	0.494169i
$449$	−8.79997	−	1.06851i	−0.415296	−	0.0504261i	−0.0897778	−	0.995962i	$-0.528616\pi$
$449$	−8.79997	−	1.06851i	−0.415296	−	0.0504261i	−0.325518	+	0.945536i	$0.605539\pi$
$450$	−7.41252	−	23.7876i	−0.349430	−	1.12136i
$451$	−35.0519	+	1.22251i	−1.65053	+	0.0575656i
$452$	0.146772	−	1.20878i	0.00690358	−	0.0568561i
$453$	−12.5924	+	3.10375i	−0.591642	+	0.145827i
$454$	3.28701	−	3.28701i	0.154267	−	0.154267i
$455$	8.33474	−	13.7873i	0.390738	−	0.646360i
$456$	−41.7264	+	2.52398i	−1.95402	+	0.118196i
$457$	−11.1947	−	8.77045i	−0.523664	−	0.410264i	0.319772	−	0.947495i	$-0.396394\pi$
$457$	−11.1947	−	8.77045i	−0.523664	−	0.410264i	−0.843436	+	0.537230i	$0.819471\pi$
$458$	10.1202	+	1.85460i	0.472887	+	0.0866597i
$459$	−0.369940	+	0.166496i	−0.0172673	+	0.00777139i
$460$	0.845964	+	6.96714i	0.0394433	+	0.324845i
$461$	−2.72515	−	7.18562i	−0.126923	−	0.334668i	0.856460	−	0.516214i	$-0.172659\pi$
$461$	−2.72515	−	7.18562i	−0.126923	−	0.334668i	−0.983382	+	0.181546i	$0.941890\pi$
$462$	8.26852	−	8.86612i	0.384686	−	0.412489i
$463$	−1.07257	−	5.85281i	−0.0498464	−	0.272003i	0.949249	−	0.314525i	$-0.101845\pi$
$463$	−1.07257	−	5.85281i	−0.0498464	−	0.272003i	−0.999096	+	0.0425221i	$0.986461\pi$
$464$	14.3754	+	20.8263i	0.667360	+	0.966838i
$465$	47.2074	−	28.5379i	2.18919	−	1.32341i
$466$	−7.17547	−	1.76860i	−0.332397	−	0.0819286i
$467$	−17.2559	−	6.54431i	−0.798509	−	0.302834i	−0.0786028	−	0.996906i	$-0.525046\pi$
$467$	−17.2559	−	6.54431i	−0.798509	−	0.302834i	−0.719906	+	0.694072i	$0.755815\pi$
$468$	−3.09112	−	3.48915i	−0.142887	−	0.161286i
$469$	2.62078	−	2.05325i	0.121016	−	0.0948103i
$470$	−2.97283	−	5.66425i	−0.137126	−	0.261272i
$471$	−30.3291	−	26.8692i	−1.39749	−	1.23807i
$472$	43.3067	+	2.61957i	1.99335	+	0.120576i
$473$	26.7547	+	31.8010i	1.23018	+	1.46221i
$474$	−4.51894	+	10.0407i	−0.207562	+	0.461183i
$475$	−11.9607	+	38.3832i	−0.548794	+	1.76114i
$476$			0.479652i			0.0219848i
$477$	−19.7884	−	5.37765i	−0.906049	−	0.246226i
$478$	16.3018			0.745627
$479$	12.5534	+	3.91181i	0.573581	+	0.178735i	0.570554	−	0.821260i	$-0.306729\pi$
$479$	12.5534	+	3.91181i	0.573581	+	0.178735i	0.00302755	+	0.999995i	$0.499036\pi$
$480$	8.23886	−	18.3060i	0.376051	−	0.835551i
$481$	−15.7551	+	22.8252i	−0.718372	+	1.04074i
$482$	−4.05861	−	0.245501i	−0.184865	−	0.0111822i
$483$	−10.2243	−	9.05790i	−0.465220	−	0.412149i
$484$	−0.242633	+	4.74365i	−0.0110288	+	0.215620i
$485$	−23.9654	+	18.7757i	−1.08821	+	0.852561i
$486$	−20.2701	+	17.9578i	−0.919471	+	0.814580i
$487$	11.8728	−	31.3061i	0.538010	−	1.41862i	−0.340206	−	0.940351i	$-0.610497\pi$
$487$	11.8728	−	31.3061i	0.538010	−	1.41862i	0.878216	−	0.478264i	$-0.158734\pi$
$488$	0.188502	−	0.764783i	0.00853309	−	0.0346201i
$489$	11.4528	+	18.9453i	0.517916	+	0.856737i
$490$	19.8137	−	13.6764i	0.895090	−	0.617836i
$491$	3.78085	+	20.6314i	0.170627	+	0.931084i	0.951789	+	0.306754i	$0.0992430\pi$
$491$	3.78085	+	20.6314i	0.170627	+	0.931084i	−0.781161	+	0.624329i	$0.785372\pi$
$492$	5.11799	−	9.75152i	0.230737	−	0.439633i
$493$	2.79193	+	7.36172i	0.125742	+	0.331555i
$494$	−3.29265	−	27.1174i	−0.148143	−	1.22007i
$495$	−32.0550	+	5.03147i	−1.44076	+	0.226148i
$496$	−19.1077	−	3.50162i	−0.857962	−	0.157227i
$497$	−0.665337	+	0.849240i	−0.0298445	+	0.0380936i
$498$	−2.08711	−	34.5041i	−0.0935257	−	1.54616i
$499$	16.0925	+	9.72823i	0.720397	+	0.435495i	0.829479	−	0.558537i	$-0.188637\pi$
$499$	16.0925	+	9.72823i	0.720397	+	0.435495i	−0.109082	+	0.994033i	$0.534791\pi$
$500$	−2.18851	−	2.18851i	−0.0978731	−	0.0978731i
$501$	0.421579	+	1.71041i	0.0188348	+	0.0764156i
$502$	1.98048	−	16.3107i	0.0883930	−	0.727982i
$503$	10.3006	+	33.0557i	0.459279	+	1.47388i	0.836609	+	0.547800i	$0.184534\pi$
$503$	10.3006	+	33.0557i	0.459279	+	1.47388i	−0.377330	+	0.926079i	$0.623158\pi$
$504$	3.08854	+	9.91147i	0.137575	+	0.441492i
$505$	−13.3303	−	1.61859i	−0.593191	−	0.0720264i
$506$	−19.4295	−	0.496576i	−0.863745	−	0.0220755i
$507$	2.87972	−	2.87972i	0.127893	−	0.127893i
$508$	8.05026	+	4.86655i	0.357172	+	0.215918i
$509$	−10.4410	+	0.631564i	−0.462789	+	0.0279936i	−0.290128	−	0.956988i	$-0.593698\pi$
$509$	−10.4410	+	0.631564i	−0.462789	+	0.0279936i	−0.172661	+	0.984981i	$0.555236\pi$
$510$	−5.93769	+	7.57890i	−0.262925	+	0.335599i
$511$	1.47187	−	8.03173i	0.0651116	−	0.355303i
$512$	−22.8305	+	10.2752i	−1.00898	+	0.454103i
$513$	2.49741	−	0.303241i	0.110264	−	0.0133884i
$514$	−3.15968	−	8.33139i	−0.139368	−	0.367482i
$515$	15.2645	−	29.0840i	0.672633	−	1.28160i
$516$	−12.8357	+	2.35222i	−0.565059	+	0.103551i
$517$	−4.60361	+	1.61263i	−0.202467	+	0.0709234i
$518$	9.38610	−	5.67409i	0.412401	−	0.249305i
$519$	9.62250	−	39.0400i	0.422381	−	1.71367i
$520$	37.9033	+	14.3748i	1.66217	+	0.630378i
$521$	−13.9788	+	12.3842i	−0.612424	+	0.542560i	−0.911306	−	0.411730i	$-0.864925\pi$
$521$	−13.9788	+	12.3842i	−0.612424	+	0.542560i	0.298882	+	0.954290i	$0.403386\pi$
$522$	18.6613	+	23.8194i	0.816782	+	1.04254i
$523$	15.9456	+	30.3819i	0.697255	+	1.32851i	0.934118	+	0.356965i	$0.116188\pi$
$523$	15.9456	+	30.3819i	0.697255	+	1.32851i	−0.236863	+	0.971543i	$0.576119\pi$
$524$	3.01352	−	3.40156i	0.131646	−	0.148598i
$525$	20.5809	+	1.24491i	0.898223	+	0.0543325i
$526$	−6.73185	+	9.75276i	−0.293522	+	0.425241i
$527$	−5.51147	−	2.48051i	−0.240083	−	0.108053i
$528$	19.8750	+	12.7193i	0.864948	+	0.553538i
$529$		−	1.10160i		−	0.0478955i
$530$	30.9156	−	6.84755i	1.34289	−	0.297438i
$531$	40.1296			1.74147
$532$	0.884916	−	2.83979i	0.0383660	−	0.123121i
$533$	36.9587	+	16.6338i	1.60086	+	0.720488i
$534$	11.3691	−	16.4710i	0.491990	−	0.712771i
$535$	3.65123	−	60.3620i	0.157856	−	2.60968i
$536$	6.27038	+	5.55507i	0.270839	+	0.239942i
$537$	11.3671	+	21.6582i	0.490526	+	0.934619i
$538$	−19.1346	−	24.4234i	−0.824949	−	1.05297i
$539$	−8.11338	−	16.4681i	−0.349468	−	0.709329i
$540$	−0.235074	+	0.619838i	−0.0101160	+	0.0266736i
$541$	−8.66371	−	2.13541i	−0.372482	−	0.0918085i	0.0486309	−	0.998817i	$-0.484514\pi$
$541$	−8.66371	−	2.13541i	−0.372482	−	0.0918085i	−0.421113	+	0.907008i	$0.638360\pi$
$542$	−7.40786	−	12.2541i	−0.318195	−	0.526358i
$543$	−13.5660	−	19.6538i	−0.582174	−	0.843425i
$544$	−2.16345	+	0.396466i	−0.0927570	+	0.0169983i
$545$	−1.02007	+	1.94359i	−0.0436952	+	0.0832542i
$546$	−13.0990	+	4.96778i	−0.560584	+	0.212601i
$547$	−2.55254	−	21.0220i	−0.109139	−	0.898837i	−0.939721	−	0.341941i	$-0.888916\pi$
$547$	−2.55254	−	21.0220i	−0.109139	−	0.898837i	0.830583	−	0.556895i	$-0.188008\pi$
$548$	1.30507	−	0.587362i	0.0557496	−	0.0250909i
$549$	0.131325	−	0.716619i	0.00560483	−	0.0305846i
$550$	23.5489	−	17.4972i	1.00413	−	0.746081i
$551$	−2.94799	−	48.7362i	−0.125589	−	2.07623i
$552$	17.7807	−	29.4129i	0.756796	−	1.25189i
$553$	−3.11996	−	3.11996i	−0.132674	−	0.132674i
$554$	−7.54088	+	1.85866i	−0.320381	+	0.0789669i
$555$	−60.1776	−	7.30688i	−2.55440	−	0.310160i
$556$	2.96047	+	9.50049i	0.125552	+	0.402911i
$557$	22.1521	−	6.90287i	0.938614	−	0.292484i	0.210229	−	0.977652i	$-0.432579\pi$
$557$	22.1521	−	6.90287i	0.938614	−	0.292484i	0.728385	+	0.685168i	$0.240271\pi$
$558$	−23.0588	−	2.79984i	−0.976155	−	0.118527i
$559$	−11.4928	−	46.6282i	−0.486094	−	1.97216i
$560$	−8.76850	−	8.76850i	−0.370537	−	0.370537i
$561$	5.05692	+	5.32219i	0.213503	+	0.224703i
$562$	1.18674	−	0.0717845i	0.0500596	−	0.00302805i
$563$	24.0789	+	18.8646i	1.01481	+	0.795050i	0.978907	−	0.204305i	$-0.0654936\pi$
$563$	24.0789	+	18.8646i	1.01481	+	0.795050i	0.0358992	+	0.999355i	$0.488570\pi$
$564$	0.276089	−	1.50657i	0.0116254	−	0.0634380i
$565$	4.01974	+	8.93149i	0.169112	+	0.375750i
$566$	2.30389	+	18.9743i	0.0968399	+	0.797548i
$567$	−4.08411	−	10.7689i	−0.171516	−	0.452252i
$568$	−2.40360	−	1.26151i	−0.100853	−	0.0529317i
$569$	−1.70922	+	0.313226i	−0.0716543	+	0.0131311i	−0.215963	−	0.976402i	$-0.569289\pi$
$569$	−1.70922	+	0.313226i	−0.0716543	+	0.0131311i	0.144308	+	0.989533i	$0.453904\pi$
$570$	49.1367	−	33.9166i	2.05811	−	1.42061i
$571$	6.72525	+	11.1249i	0.281443	+	0.465564i	0.964235	−	0.265049i	$-0.0853882\pi$
$571$	6.72525	+	11.1249i	0.281443	+	0.465564i	−0.682792	+	0.730613i	$0.739234\pi$
$572$	2.67409	−	4.79329i	0.111809	−	0.200417i
$573$	−7.92807	−	3.00672i	−0.331200	−	0.125608i
$574$	−10.6282	−	11.9968i	−0.443614	−	0.500737i
$575$	−20.3856	−	26.0203i	−0.850137	−	1.08512i
$576$	−22.1996	+	11.6513i	−0.924984	+	0.485469i
$577$	17.1343	+	15.1797i	0.713310	+	0.631937i	0.939660	−	0.342109i	$-0.111141\pi$
$577$	17.1343	+	15.1797i	0.713310	+	0.631937i	−0.226351	+	0.974046i	$0.572680\pi$
$578$	−20.1969	−	1.22169i	−0.840080	−	0.0508155i
$579$	−1.54147	−	1.06400i	−0.0640614	−	0.0442184i
$580$	11.7323	+	5.28027i	0.487156	+	0.219251i
$581$	13.2248	+	4.12101i	0.548656	+	0.170968i
$582$	26.4734			1.09736
$583$	−1.72709	−	24.0835i	−0.0715287	−	0.997439i
$584$	20.5458			0.850190
$585$	35.7974	+	11.1549i	1.48004	+	0.461199i
$586$	12.0785	+	5.43608i	0.498957	+	0.224562i
$587$	35.8936	+	24.7756i	1.48149	+	1.02260i	0.988274	+	0.152691i	$0.0487939\pi$
$587$	35.8936	+	24.7756i	1.48149	+	1.02260i	0.493215	+	0.869907i	$0.335821\pi$
$588$	5.75396	+	0.348051i	0.237289	+	0.0143534i
$589$	28.0545	+	24.8541i	1.15597	+	1.02410i
$590$	−54.8689	+	28.7974i	−2.25892	+	1.18557i
$591$	−0.991803	−	1.26594i	−0.0407973	−	0.0520739i
$592$	14.1560	+	15.9788i	0.581808	+	0.656726i
$593$	17.2469	+	6.54087i	0.708244	+	0.268601i	0.682311	−	0.731062i	$-0.260975\pi$
$593$	17.2469	+	6.54087i	0.708244	+	0.268601i	0.0259331	+	0.999664i	$0.491744\pi$
$594$	−1.60321	−	0.894400i	−0.0657804	−	0.0366977i
$595$	−1.99596	−	3.30173i	−0.0818266	−	0.135358i
$596$	4.74760	−	3.27703i	0.194469	−	0.134232i
$597$	3.83330	−	0.702478i	0.156886	−	0.0287505i
$598$	19.8867	+	10.4374i	0.813229	+	0.426816i
$599$	1.29160	+	3.40568i	0.0527735	+	0.139152i	0.958811	−	0.284046i	$-0.0916767\pi$
$599$	1.29160	+	3.40568i	0.0527735	+	0.139152i	−0.906037	+	0.423198i	$0.860907\pi$
$600$	6.25341	+	51.5015i	0.255294	+	2.10254i
$601$	−9.18416	−	20.4064i	−0.374630	−	0.832393i	−0.998697	−	0.0510227i	$-0.983752\pi$
$601$	−9.18416	−	20.4064i	−0.374630	−	0.832393i	0.624068	−	0.781370i	$-0.285479\pi$
$602$	−3.42327	+	18.6802i	−0.139522	+	0.761346i
$603$	6.09941	+	4.77858i	0.248387	+	0.194599i
$604$	2.31777	−	0.140199i	0.0943085	−	0.00570462i
$605$	−18.0694	−	33.6630i	−0.734627	−	1.36860i
$606$	8.25664	+	8.25664i	0.335403	+	0.335403i
$607$	3.34204	+	13.5592i	0.135649	+	0.550350i	0.998957	+	0.0456716i	$0.0145428\pi$
$607$	3.34204	+	13.5592i	0.135649	+	0.550350i	−0.863307	+	0.504678i	$0.831611\pi$
$608$	13.5402	+	1.64408i	0.549128	+	0.0666762i
$609$	−23.9063	+	7.44951i	−0.968733	+	0.301869i
$610$	0.334693	+	1.07407i	0.0135513	+	0.0434878i
$611$	5.59561	+	0.679430i	0.226374	+	0.0274868i
$612$	−1.08387	+	0.267149i	−0.0438128	+	0.0107989i
$613$	19.7219	+	19.7219i	0.796558	+	0.796558i	0.982551	−	0.185993i	$-0.0595501\pi$
$613$	19.7219	+	19.7219i	0.796558	+	0.796558i	−0.185993	+	0.982551i	$0.559550\pi$
$614$	1.80674	−	2.98872i	0.0729142	−	0.120615i
$615$	5.34860	+	88.4229i	0.215676	+	3.56556i
$616$	−9.81200	+	7.29046i	−0.395337	+	0.293741i
$617$	−5.26732	+	28.7428i	−0.212054	+	1.15714i	0.689437	+	0.724346i	$0.257858\pi$
$617$	−5.26732	+	28.7428i	−0.212054	+	1.15714i	−0.901491	+	0.432798i	$0.857527\pi$
$618$	−26.0456	+	11.7222i	−1.04771	+	0.471536i
$619$	−2.22281	−	18.3065i	−0.0893421	−	0.735798i	−0.966691	−	0.255946i	$-0.917613\pi$
$619$	−2.22281	−	18.3065i	−0.0893421	−	0.735798i	0.877349	−	0.479853i	$-0.159310\pi$
$620$	−9.23452	+	3.50219i	−0.370867	+	0.140651i
$621$	−0.961244	+	1.83150i	−0.0385734	+	0.0734954i
$622$	1.35593	−	0.248483i	0.0543679	−	0.00996328i
$623$	4.55591	+	6.60038i	0.182529	+	0.264439i
$624$	−14.1064	−	23.3349i	−0.564708	−	0.934142i
$625$	−10.1202	−	2.49440i	−0.404808	−	0.0997761i
$626$	−5.16426	+	13.6170i	−0.206405	+	0.544246i
$627$	−20.1207	−	40.8398i	−0.803543	−	1.63098i
$628$	4.47400	+	5.71063i	0.178532	+	0.227879i
$629$	3.08659	+	5.88101i	0.123071	+	0.234491i
$630$	−11.0987	−	9.83256i	−0.442181	−	0.391739i
$631$	2.60880	−	43.1287i	0.103855	−	1.71693i	−0.457382	−	0.889270i	$-0.651213\pi$
$631$	2.60880	−	43.1287i	0.103855	−	1.71693i	0.561237	−	0.827655i	$-0.310326\pi$
$632$	6.30671	−	9.13684i	0.250867	−	0.363444i
$633$	19.4042	+	8.73313i	0.771248	+	0.347111i
$634$	4.46289	−	14.3219i	0.177244	−	0.568796i
$635$	−75.6658			−3.00271
$636$	6.83807	+	3.27450i	0.271147	+	0.129842i
$637$			21.2141i			0.840532i
$638$	−19.2053	+	30.0099i	−0.760345	+	1.18810i
$639$	−2.28960	−	1.03046i	−0.0905750	−	0.0407645i
$640$	12.5357	−	18.1611i	0.495517	−	0.717880i
$641$	−20.8262	−	1.25975i	−0.822585	−	0.0497572i	−0.356278	−	0.934380i	$-0.615954\pi$
$641$	−20.8262	−	1.25975i	−0.822585	−	0.0497572i	−0.466307	+	0.884623i	$0.654416\pi$
$642$	−34.8699	+	39.3600i	−1.37621	+	1.55341i
$643$	−13.6409	−	25.9906i	−0.537945	−	1.02497i	−0.991048	−	0.133510i	$-0.957375\pi$
$643$	−13.6409	−	25.9906i	−0.537945	−	1.02497i	0.453103	−	0.891458i	$-0.350317\pi$
$644$	1.50823	+	1.92512i	0.0594327	+	0.0758602i
$645$	78.5673	−	69.6046i	3.09358	−	2.74068i
$646$	−6.11654	−	2.31970i	−0.240652	−	0.0912673i
$647$	6.82213	−	27.6785i	0.268205	−	1.08815i	−0.670080	−	0.742289i	$-0.733740\pi$
$647$	6.82213	−	27.6785i	0.268205	−	1.08815i	0.938285	−	0.345863i	$-0.112414\pi$
$648$	24.8003	−	14.9923i	0.974246	−	0.588952i
$649$	15.6213	+	44.5946i	0.613192	+	1.75049i
$650$	−33.3462	+	6.11093i	−1.30795	+	0.239690i
$651$	8.93286	−	17.0201i	0.350106	−	0.667072i
$652$	−1.40550	−	3.70600i	−0.0550437	−	0.145138i
$653$	39.4843	−	4.79427i	1.54514	−	0.187614i	0.696879	−	0.717189i	$-0.254572\pi$
$653$	39.4843	−	4.79427i	1.54514	−	0.187614i	0.848263	+	0.529575i	$0.177649\pi$
$654$	1.74054	−	0.783355i	0.0680606	−	0.0306316i
$655$	−6.58901	+	35.9551i	−0.257454	+	1.40488i
$656$	19.2388	−	24.5566i	0.751151	−	0.958773i
$657$	18.9691	−	1.14742i	0.740053	−	0.0447650i
$658$	−1.90760	−	1.15318i	−0.0743659	−	0.0449557i
$659$	27.9919	−	27.9919i	1.09041	−	1.09041i	0.0949264	−	0.995484i	$-0.469738\pi$
$659$	27.9919	−	27.9919i	1.09041	−	1.09041i	0.995484	−	0.0949264i	$-0.0302616\pi$
$660$	11.9928	+	0.306510i	0.466819	+	0.0119309i
$661$	−6.91903	−	0.840123i	−0.269119	−	0.0326770i	−0.0151354	−	0.999885i	$-0.504818\pi$
$661$	−6.91903	−	0.840123i	−0.269119	−	0.0326770i	−0.253984	+	0.967208i	$0.581741\pi$
$662$	−7.71378	−	24.7544i	−0.299804	−	0.962106i
$663$	−2.52390	−	8.09948i	−0.0980201	−	0.314558i
$664$	−4.20118	+	34.5999i	−0.163038	+	1.34274i
$665$	5.72577	+	23.2304i	0.222036	+	0.900835i
$666$	18.0495	+	18.0495i	0.699402	+	0.699402i
$667$	34.3540	+	20.7677i	1.33019	+	0.804130i
$668$	−0.0190431	−	0.314820i	−0.000736800	−	0.0121807i
$669$	19.0005	−	24.2524i	0.734602	−	0.937650i
$670$	−11.7688	−	2.15672i	−0.454670	−	0.0833214i
$671$	0.847476	−	0.133023i	0.0327164	−	0.00513530i
$672$	−0.843168	−	6.94412i	−0.0325259	−	0.267875i
$673$	−2.10145	−	5.54107i	−0.0810049	−	0.213592i	0.888395	−	0.459080i	$-0.151821\pi$
$673$	−2.10145	−	5.54107i	−0.0810049	−	0.213592i	−0.969400	+	0.245488i	$0.921052\pi$
$674$	14.0899	−	26.8460i	0.542722	−	1.03407i
$675$	−0.562794	−	3.07107i	−0.0216620	−	0.118206i
$676$	−0.600073	+	0.414200i	−0.0230797	+	0.0159308i
$677$	4.34851	+	7.19332i	0.167127	+	0.276462i	0.928107	−	0.372314i	$-0.121435\pi$
$677$	4.34851	+	7.19332i	0.167127	+	0.276462i	−0.760980	+	0.648775i	$0.775282\pi$
$678$	2.03821	−	8.26932i	0.0782768	−	0.317581i
$679$	−3.76186	+	9.91920i	−0.144367	+	0.380664i
$680$	7.26637	−	6.43744i	0.278652	−	0.246865i
$681$	−7.04744	+	5.52132i	−0.270059	+	0.211577i
$682$	−5.86478	−	26.7143i	−0.224574	−	1.02294i
$683$	15.8820	+	14.0702i	0.607707	+	0.538382i	0.909880	−	0.414872i	$-0.136173\pi$
$683$	15.8820	+	14.0702i	0.607707	+	0.538382i	−0.302173	+	0.953253i	$0.597712\pi$
$684$	6.90994	+	0.417975i	0.264208	+	0.0159817i
$685$	−6.53936	+	9.47390i	−0.249856	+	0.361979i
$686$	7.79723	−	17.3247i	0.297700	−	0.661462i
$687$	−18.9181	−	5.89513i	−0.721772	−	0.224913i
$688$	−36.9639			−1.40924
$689$	−10.5092	+	25.8467i	−0.400368	+	0.984681i
$690$			49.0891i			1.86879i
$691$	−9.78900	+	31.4140i	−0.372391	+	1.19505i	0.558424	+	0.829556i	$0.311406\pi$
$691$	−9.78900	+	31.4140i	−0.372391	+	1.19505i	−0.930815	+	0.365490i	$0.880901\pi$
$692$	−2.95451	+	6.56465i	−0.112314	+	0.249550i
$693$	−8.65186	+	7.27894i	−0.328657	+	0.276504i
$694$	−39.8455	−	2.41021i	−1.51252	−	0.0914904i
$695$	−59.9129	−	53.0782i	−2.27263	−	2.01337i
$696$	−29.2800	−	55.7884i	−1.10986	−	2.11465i
$697$	7.64023	−	5.98574i	0.289394	−	0.226726i
$698$	4.81099	+	5.43048i	0.182099	+	0.205547i
$699$	13.3081	+	5.04709i	0.503358	+	0.190899i
$700$	−3.58424	−	0.883437i	−0.135472	−	0.0333908i
$701$	14.5885	−	8.81907i	0.551001	−	0.333092i	−0.214296	−	0.976769i	$-0.568746\pi$
$701$	14.5885	−	8.81907i	0.551001	−	0.333092i	0.765297	+	0.643677i	$0.222592\pi$
$702$	1.20509	+	1.74588i	0.0454834	+	0.0658940i
$703$	−7.42433	−	40.5132i	−0.280014	−	1.52799i
$704$	−21.5893	−	20.1341i	−0.813679	−	0.758834i
$705$	4.36877	+	11.5195i	0.164537	+	0.433849i
$706$	0.656257	+	5.40476i	0.0246986	+	0.203411i
$707$	−4.26692	+	1.92038i	−0.160474	+	0.0722235i
$708$	−14.5940	−	2.67444i	−0.548474	−	0.100512i
$709$	−9.18106	−	7.19290i	−0.344802	−	0.270135i	0.429346	−	0.903140i	$-0.358744\pi$
$709$	−9.18106	−	7.19290i	−0.344802	−	0.270135i	−0.774148	+	0.633005i	$0.781821\pi$
$710$	3.87002	−	0.234093i	0.145239	−	0.00878536i
$711$	5.31246	−	8.78788i	0.199233	−	0.329571i
$712$	−14.2693	+	14.2693i	−0.534766	+	0.534766i
$713$	−29.9205	+	7.37473i	−1.12053	+	0.276186i
$714$	−0.404388	+	3.33043i	−0.0151338	+	0.124638i
$715$	1.53887	+	44.1227i	0.0575505	+	1.65009i
$716$	−1.30285	−	4.18099i	−0.0486897	−	0.156251i
$717$	−31.1671	−	3.78437i	−1.16396	−	0.141330i
$718$	5.16645	+	20.9611i	0.192810	+	0.782262i
$719$	18.7083	−	18.7083i	0.697704	−	0.697704i	−0.266211	−	0.963915i	$-0.585772\pi$
$719$	18.7083	−	18.7083i	0.697704	−	0.697704i	0.963915	+	0.266211i	$0.0857718\pi$
$720$	14.9304	−	24.6979i	0.556423	−	0.920436i
$721$	−0.691064	−	11.4247i	−0.0257366	−	0.425476i
$722$	13.2039	+	10.3446i	0.491398	+	0.384986i
$723$	7.70259	+	1.41155i	0.286462	+	0.0524962i
$724$	1.75478	+	3.89897i	0.0652160	+	0.144904i
$725$	−60.1534	+	7.30395i	−2.23404	+	0.271262i
$726$	−5.68401	+	32.7326i	−0.210953	+	1.21482i
$727$	10.2914	−	19.6087i	0.381688	−	0.727245i	−0.616504	−	0.787351i	$-0.711452\pi$
$727$	10.2914	−	19.6087i	0.381688	−	0.727245i	0.998192	+	0.0601065i	$0.0191440\pi$
$728$	13.8942	−	2.54621i	0.514954	−	0.0943688i
$729$	19.4278	−	13.4100i	0.719547	−	0.496668i
$730$	−25.1129	+	15.1812i	−0.929468	+	0.561883i
$731$	−11.1663	−	2.75225i	−0.413001	−	0.101795i
$732$	−0.0955184	+	0.251861i	−0.00353046	+	0.00930906i
$733$	−16.8428	−	19.0116i	−0.622102	−	0.702209i	0.350004	−	0.936748i	$-0.386180\pi$
$733$	−16.8428	−	19.0116i	−0.622102	−	0.702209i	−0.972107	+	0.234540i	$0.924642\pi$
$734$	−11.0872	+	8.68627i	−0.409236	+	0.320616i
$735$	−41.0563	+	21.5480i	−1.51438	+	0.794810i
$736$	−7.43648	+	8.39406i	−0.274112	+	0.309409i
$737$	−2.93594	+	8.63824i	−0.108147	+	0.318194i
$738$	21.1896	−	30.6984i	0.779999	−	1.13002i
$739$	34.5593	+	15.5539i	1.27128	+	0.572158i	0.929916	−	0.367772i	$-0.119879\pi$
$739$	34.5593	+	15.5539i	1.27128	+	0.572158i	0.341367	+	0.939930i	$0.389110\pi$
$740$	10.3618	+	3.22888i	0.380909	+	0.118696i
$741$			52.6096i			1.93266i
$742$	7.98471	−	7.61510i	0.293128	−	0.279559i
$743$			3.63098i			0.133208i	0.997780	+	0.0666038i	$0.0212164\pi$
$743$			3.63098i			0.133208i	−0.997780	+	0.0666038i	$0.978784\pi$
$744$	46.1757	+	14.3889i	1.69288	+	0.527524i
$745$	−19.0439	+	42.3138i	−0.697715	+	1.55026i
$746$	−28.7569	−	19.8495i	−1.05287	−	0.726740i
$747$	−1.94649	+	32.1792i	−0.0712182	+	1.17738i
$748$	−0.718794	−	1.10047i	−0.0262817	−	0.0402372i
$749$	−9.79264	−	18.6583i	−0.357815	−	0.681760i
$750$	−13.3507	−	17.0409i	−0.487498	−	0.622245i
$751$	−18.1107	−	20.4428i	−0.660869	−	0.745967i	0.318528	−	0.947914i	$-0.396812\pi$
$751$	−18.1107	−	20.4428i	−0.660869	−	0.745967i	−0.979396	+	0.201947i	$0.935273\pi$
$752$	1.53848	−	4.05665i	0.0561027	−	0.147931i
$753$	−7.57288	+	30.7244i	−0.275971	+	1.11966i
$754$	35.2340	−	21.2997i	1.28315	−	0.775689i
$755$	−15.3712	+	10.6099i	−0.559414	+	0.386135i
$756$	0.0416385	+	0.227214i	0.00151438	+	0.00826370i
$757$	33.0522	+	17.3471i	1.20130	+	0.630493i	0.942101	−	0.335330i	$-0.108848\pi$
$757$	33.0522	+	17.3471i	1.20130	+	0.630493i	0.259203	+	0.965823i	$0.416540\pi$
$758$	17.1787	−	6.51504i	0.623960	−	0.236637i
$759$	37.0316	+	5.45984i	1.34416	+	0.198180i
$760$	−54.8973	+	24.7073i	−1.99133	+	0.896227i
$761$	5.99393	−	32.7078i	0.217280	−	1.18566i	−0.676256	−	0.736666i	$-0.736399\pi$
$761$	5.99393	−	32.7078i	0.217280	−	1.18566i	0.893536	−	0.448991i	$-0.148217\pi$
$762$	51.7936	+	40.5777i	1.87628	+	1.46997i
$763$	0.0461815	+	0.763472i	0.00167188	+	0.0276395i
$764$	1.29915	+	0.785362i	0.0470015	+	0.0284134i
$765$	6.34922	−	6.34922i	0.229557	−	0.229557i
$766$	−3.23668	−	13.1317i	−0.116946	−	0.474469i
$767$	6.58156	−	54.2040i	0.237646	−	1.95719i
$768$	22.6700	−	7.06427i	0.818034	−	0.254910i
$769$	−7.55611	+	2.35458i	−0.272480	+	0.0849083i	−0.430698	−	0.902496i	$-0.641733\pi$
$769$	−7.55611	+	2.35458i	−0.272480	+	0.0849083i	0.158218	+	0.987404i	$0.449425\pi$
$770$	6.60618	−	16.1611i	0.238070	−	0.582406i
$771$	4.10685	+	16.6621i	0.147905	+	0.600073i
$772$	0.237125	+	0.237125i	0.00853430	+	0.00853430i
$773$	8.64851	−	14.3064i	0.311065	−	0.514565i	−0.660658	−	0.750687i	$-0.729723\pi$
$773$	8.64851	−	14.3064i	0.311065	−	0.514565i	0.971723	+	0.236122i	$0.0758765\pi$
$774$	−44.1181	+	2.66866i	−1.58579	+	0.0959228i
$775$	28.6870	−	36.6163i	1.03047	−	1.31530i
$776$	−26.2558	−	4.81156i	−0.942529	−	0.172725i
$777$	−19.2623	+	8.66927i	−0.691032	+	0.311008i
$778$	−10.9735	+	1.33242i	−0.393417	+	0.0477695i
$779$	−56.2774	+	21.3432i	−2.01635	+	0.764699i
$780$	−12.2750	−	6.44244i	−0.439517	−	0.230676i
$781$	0.253841	−	2.94548i	0.00908316	−	0.105398i
$782$	4.42638	−	3.05531i	0.158287	−	0.109258i
$783$	1.96163	+	3.24492i	0.0701028	+	0.115964i
$784$	15.8540	+	3.90767i	0.566216	+	0.139560i
$785$	−54.5607	−	20.6922i	−1.94736	−	0.738535i
$786$	23.7920	−	21.0779i	0.848633	−	0.751823i
$787$	−21.2811	+	16.6727i	−0.758590	+	0.594317i	−0.919701	−	0.392619i	$-0.871569\pi$
$787$	−21.2811	+	16.6727i	−0.758590	+	0.594317i	0.161111	+	0.986936i	$0.448492\pi$
$788$	0.133807	+	0.254949i	0.00476669	+	0.00908217i
$789$	15.1345	−	17.0834i	0.538804	−	0.608184i
$790$	−0.957410	+	15.8279i	−0.0340631	+	0.563131i
$791$	2.80877	+	1.93876i	0.0998685	+	0.0689342i
$792$	−21.9392	−	18.1116i	−0.779574	−	0.643568i
$793$	−0.946417	−	0.294916i	−0.0336083	−	0.0104728i
$794$	7.44743			0.264300
$795$	−60.6966	+	5.91481i	−2.15269	+	0.209777i
$796$	−0.697739			−0.0247307
$797$	7.83107	−	25.1308i	0.277391	−	0.890178i	−0.705927	−	0.708284i	$-0.749470\pi$
$797$	7.83107	−	25.1308i	0.277391	−	0.890178i	0.983318	−	0.181894i	$-0.0582228\pi$
$798$	8.53855	−	18.9719i	0.302261	−	0.671597i
$799$	0.766804	−	1.11091i	0.0271276	−	0.0393011i
$800$	1.02207	−	16.8968i	0.0361355	−	0.597391i
$801$	−12.3774	+	13.9712i	−0.437333	+	0.493647i
$802$	−37.6257	+	19.7475i	−1.32861	+	0.697309i
$803$	8.65922	+	20.6330i	0.305577	+	0.728123i
$804$	−1.89971	−	2.14433i	−0.0669975	−	0.0756246i
$805$	−18.3930	−	6.97555i	−0.648268	−	0.245856i
$806$	−7.56363	+	30.6869i	−0.266418	+	1.08090i
$807$	30.9132	+	51.1367i	1.08820	+	1.80010i
$808$	−6.68814	−	9.68945i	−0.235288	−	0.340874i
$809$	−4.95812	−	27.0556i	−0.174318	−	0.951223i	−0.948148	−	0.317830i	$-0.897046\pi$
$809$	−4.95812	−	27.0556i	−0.174318	−	0.951223i	0.773830	−	0.633394i	$-0.218339\pi$
$810$	−19.2353	+	36.6498i	−0.675859	+	1.28774i
$811$	44.2333	−	16.7755i	1.55324	−	0.589066i	0.579149	−	0.815222i	$-0.303385\pi$
$811$	44.2333	−	16.7755i	1.55324	−	0.589066i	0.974091	+	0.226156i	$0.0726159\pi$
$812$	4.45047	−	0.540385i	0.156181	−	0.0189638i
$813$	11.3182	+	25.1481i	0.396948	+	0.881982i
$814$	−13.0316	+	27.0839i	−0.456757	+	0.949291i
$815$	25.0966	+	19.6619i	0.879096	+	0.688728i
$816$	−6.51794	+	0.394263i	−0.228173	+	0.0138020i
$817$	61.0328	+	36.8956i	2.13527	+	1.29081i
$818$	−2.09290	−	2.09290i	−0.0731765	−	0.0731765i
$819$	12.6858	−	3.12676i	0.443276	−	0.109258i
$820$	1.91172	−	15.7444i	0.0667602	−	0.549820i
$821$	6.84238	+	21.9580i	0.238801	+	0.766339i	0.993856	+	0.110678i	$0.0353022\pi$
$821$	6.84238	+	21.9580i	0.238801	+	0.766339i	−0.755056	+	0.655661i	$0.772390\pi$
$822$	9.55684	−	2.97803i	0.333333	−	0.103871i
$823$	−0.446765	+	3.67944i	−0.0155733	+	0.128257i	−0.998422	−	0.0561563i	$-0.982115\pi$
$823$	−0.446765	+	3.67944i	−0.0155733	+	0.128257i	0.982849	+	0.184414i	$0.0590386\pi$
$824$	27.9621	−	6.89204i	0.974107	−	0.240096i
$825$	−49.0845	+	27.9858i	−1.70890	+	0.974339i
$826$	−11.1707	+	18.4787i	−0.388680	+	0.642955i
$827$	−0.543784	−	8.98982i	−0.0189092	−	0.312607i	−0.995317	−	0.0966697i	$-0.969181\pi$
$827$	−0.543784	−	8.98982i	−0.0189092	−	0.312607i	0.976407	−	0.215937i	$-0.0692806\pi$
$828$	−3.51015	+	4.48037i	−0.121986	+	0.155704i
$829$	7.63405	−	41.6577i	0.265141	−	1.44683i	−0.533897	−	0.845550i	$-0.679273\pi$
$829$	7.63405	−	41.6577i	0.265141	−	1.44683i	0.799038	−	0.601280i	$-0.205343\pi$
$830$	−20.4307	−	45.3953i	−0.709162	−	1.57569i
$831$	14.8488	−	1.80296i	0.515098	−	0.0625442i
$832$	12.0967	+	31.8965i	0.419379	+	1.10581i
$833$	4.49834	+	2.36091i	0.155858	+	0.0818007i
$834$	12.5461	+	68.4620i	0.434437	+	2.37065i
$835$	1.44114	+	2.08785i	0.0498726	+	0.0722530i
$836$	2.22537	+	7.84149i	0.0769661	+	0.271204i
$837$	−2.82615	−	0.696583i	−0.0976860	−	0.0240774i
$838$	11.1338	−	29.3574i	0.384611	−	1.01414i
$839$	−28.7983	+	25.5131i	−0.994229	+	0.880810i	−0.992872	−	0.119189i	$-0.961970\pi$
$839$	−28.7983	+	25.5131i	−0.994229	+	0.880810i	−0.00135723	+	0.999999i	$0.500432\pi$
$840$	19.0407	+	24.3037i	0.656966	+	0.838556i
$841$	39.4823	−	20.7219i	1.36146	−	0.714549i
$842$	29.9058	−	33.7567i	1.03062	−	1.16333i
$843$	−2.28557	−	0.138252i	−0.0787192	−	0.00476164i
$844$	−3.13536	−	2.16418i	−0.107924	−	0.0744943i
$845$	2.40706	−	5.34826i	0.0828052	−	0.183986i
$846$	1.54338	−	4.95287i	0.0530624	−	0.170283i
$847$	−11.4568	−	6.78102i	−0.393659	−	0.232999i
$848$	17.3804	+	12.6149i	0.596844	+	0.433197i
$849$		−	36.8114i		−	1.26336i
$850$	−2.41531	+	7.75099i	−0.0828443	+	0.265857i
$851$	30.8807	+	13.8983i	1.05858	+	0.476427i
$852$	0.763984	+	0.527340i	0.0261737	+	0.0180664i
$853$	−0.164926	+	2.72655i	−0.00564696	+	0.0933553i	−0.999907	−	0.0136348i	$-0.995660\pi$
$853$	−0.164926	+	2.72655i	−0.00564696	+	0.0933553i	0.994260	+	0.106990i	$0.0341213\pi$
$854$	0.293429	+	0.259955i	0.0100409	+	0.00889548i
$855$	−49.3046	+	25.8770i	−1.68618	+	0.884976i
$856$	41.7371	−	32.6989i	1.42654	−	1.11763i
$857$	6.30754	−	5.58799i	0.215461	−	0.190882i	−0.548488	−	0.836159i	$-0.684796\pi$
$857$	6.30754	−	5.58799i	0.215461	−	0.190882i	0.763949	+	0.645276i	$0.223258\pi$
$858$	22.6085	−	31.0274i	0.771842	−	1.05926i
$859$	−0.0634394	+	0.257384i	−0.00216453	+	0.00878182i	−0.972014	−	0.234922i	$-0.924516\pi$
$859$	−0.0634394	+	0.257384i	−0.00216453	+	0.00878182i	0.969850	+	0.243704i	$0.0783626\pi$
$860$	−16.0825	+	9.72222i	−0.548409	+	0.331525i
$861$	17.5349	+	25.4038i	0.597589	+	0.865758i
$862$	15.3927	−	2.82082i	0.524277	−	0.0960774i
$863$	−3.77708	−	1.98236i	−0.128573	−	0.0674805i	0.399210	−	0.916859i	$-0.369284\pi$
$863$	−3.77708	−	1.98236i	−0.128573	−	0.0674805i	−0.527783	+	0.849379i	$0.676977\pi$
$864$	−0.990421	+	0.375617i	−0.0336948	+	0.0127788i
$865$	−6.97969	−	57.4829i	−0.237317	−	1.95448i
$866$	−0.505521	−	1.12322i	−0.0171783	−	0.0381687i
$867$	38.3305	+	7.02432i	1.30177	+	0.238559i
$868$	−2.12242	+	2.70907i	−0.0720396	+	0.0919517i
$869$	11.8337	+	2.48267i	0.401429	+	0.0842188i
$870$	77.0106	+	46.5545i	2.61090	+	1.57835i
$871$	7.45490	−	7.45490i	0.252600	−	0.252600i
$872$	−1.86862	+	0.460572i	−0.0632793	+	0.0155969i
$873$	−24.5096	−	2.97601i	−0.829525	−	0.100723i
$874$	−31.8433	+	9.92278i	−1.07712	+	0.335643i
$875$	8.28210	−	2.58081i	0.279986	−	0.0872472i
$876$	−6.97496	−	0.846914i	−0.235662	−	0.0286146i
$877$	13.1733	−	3.24693i	0.444832	−	0.109641i	−0.0105363	−	0.999944i	$-0.503354\pi$
$877$	13.1733	−	3.24693i	0.444832	−	0.109641i	0.455368	+	0.890303i	$0.349508\pi$
$878$	33.6559	−	33.6559i	1.13583	−	1.13583i
$879$	−21.8307	−	13.1971i	−0.736330	−	0.445127i
$880$	33.2579	+	6.97742i	1.12112	+	0.235209i
$881$	−10.1612	+	12.9698i	−0.342339	+	0.436963i	−0.927426	−	0.374007i	$-0.877983\pi$
$881$	−10.1612	+	12.9698i	−0.342339	+	0.436963i	0.585087	+	0.810971i	$0.301060\pi$
$882$	19.2047	+	3.51938i	0.646654	+	0.118504i
$883$	12.6122	+	28.0232i	0.424435	+	0.943055i	0.992745	+	0.120241i	$0.0383667\pi$
$883$	12.6122	+	28.0232i	0.424435	+	0.943055i	−0.568310	+	0.822815i	$0.692403\pi$
$884$	0.183083	+	1.50782i	0.00615774	+	0.0507135i
$885$	111.588	−	42.3197i	3.75099	−	1.42256i
$886$	43.1728	+	22.6588i	1.45042	+	0.761238i
$887$	−53.4982	+	9.80391i	−1.79629	+	0.329183i	−0.971642	−	0.236457i	$-0.924014\pi$
$887$	−53.4982	+	9.80391i	−1.79629	+	0.329183i	−0.824652	+	0.565640i	$0.808629\pi$
$888$	−30.1926	−	43.7415i	−1.01320	−	1.46787i
$889$	−22.5637	+	13.6403i	−0.756763	+	0.457479i
$890$	6.89764	−	27.9848i	0.231209	−	0.938053i
$891$	25.5082	+	18.5869i	0.854558	+	0.622685i
$892$	−4.12880	+	3.65779i	−0.138242	+	0.122472i
$893$	−6.58942	+	5.16248i	−0.220506	+	0.172756i
$894$	35.7275	−	18.7512i	1.19491	−	0.627135i
$895$	26.3665	+	23.3587i	0.881336	+	0.780795i
$896$	0.464282	−	7.67549i	0.0155106	−	0.256420i
$897$	−35.5981	−	24.5716i	−1.18859	−	0.820422i
$898$	10.1229	+	4.55596i	0.337807	+	0.152034i
$899$	−16.8062	+	53.9330i	−0.560518	+	1.79876i
$900$		−	8.59135i		−	0.286378i
$901$	4.31110	+	5.10489i	0.143624	+	0.170069i
$902$	42.3626	+	11.5972i	1.41052	+	0.386144i
$903$	10.8814	−	34.9196i	0.362110	−	1.16205i
$904$	−3.52441	+	7.83093i	−0.117220	+	0.260453i
$905$	−28.3039	−	19.5368i	−0.940853	−	0.649424i
$906$	16.2115	+	0.980613i	0.538590	+	0.0325787i
$907$	19.5142	−	22.0270i	0.647960	−	0.731396i	−0.329115	−	0.944290i	$-0.606750\pi$
$907$	19.5142	−	22.0270i	0.647960	−	0.731396i	0.977075	+	0.212894i	$0.0682890\pi$
$908$	1.41929	−	0.744899i	0.0471007	−	0.0247203i
$909$	−6.71601	−	8.57235i	−0.222756	−	0.284327i
$910$	−15.1014	+	13.3786i	−0.500605	+	0.443497i
$911$	−10.0224	+	26.4270i	−0.332058	+	0.875565i	0.660168	+	0.751118i	$0.270485\pi$
$911$	−10.0224	+	26.4270i	−0.332058	+	0.875565i	−0.992226	+	0.124447i	$0.960284\pi$
$912$	39.3170	+	9.69078i	1.30192	+	0.320894i
$913$	−36.5174	+	10.3634i	−1.20855	+	0.342980i
$914$	10.1166	+	14.6564i	0.334626	+	0.484789i
$915$	−0.390555	−	2.13119i	−0.0129114	−	0.0704550i
$916$	3.14135	+	1.64871i	0.103793	+	0.0544748i
$917$	4.51675	+	11.9097i	0.149156	+	0.393293i
$918$	0.504320	−	0.0612355i	0.0166450	−	0.00202107i
$919$	−11.6295	−	25.8397i	−0.383622	−	0.852374i	−0.997991	−	0.0633547i	$-0.979820\pi$
$919$	−11.6295	−	25.8397i	−0.383622	−	0.852374i	0.614369	−	0.789019i	$-0.289411\pi$
$920$	8.92199	−	48.6857i	0.294149	−	1.60512i
$921$	−4.14810	+	5.29465i	−0.136684	+	0.174465i
$922$	0.581069	+	9.60621i	0.0191365	+	0.316364i
$923$	−1.76738	+	2.92361i	−0.0581742	+	0.0962318i
$924$	3.63154	−	2.07054i	0.119469	−	0.0681156i
$925$	−49.6314	+	12.2330i	−1.63187	+	0.402220i
$926$	−0.898166	+	7.39706i	−0.0295156	+	0.243083i
$927$	25.4314	−	7.92473i	0.835276	−	0.260282i
$928$	6.11601	+	19.6270i	0.200768	+	0.644286i
$929$	1.51957	−	12.5148i	0.0498554	−	0.410596i	−0.946321	−	0.323229i	$-0.895232\pi$
$929$	1.51957	−	12.5148i	0.0498554	−	0.410596i	0.996176	−	0.0873672i	$-0.0278453\pi$
$930$	−67.0720	+	16.5318i	−2.19938	+	0.542098i
$931$	−22.2769	−	22.2769i	−0.730095	−	0.730095i
$932$	−2.18075	−	1.31831i	−0.0714330	−	0.0431827i
$933$	−2.65006	+	0.160299i	−0.0867592	+	0.00524796i
$934$	18.1926	+	14.2530i	0.595281	+	0.466373i
$935$	9.52725	+	4.58409i	0.311575	+	0.149916i
$936$	13.4923	+	29.9786i	0.441008	+	0.979881i
$937$	36.8183	−	4.47055i	1.20280	−	0.146047i	0.505502	−	0.862826i	$-0.331307\pi$
$937$	36.8183	−	4.47055i	1.20280	−	0.146047i	0.697300	+	0.716779i	$0.254384\pi$
$938$	−3.89829	+	1.47843i	−0.127284	+	0.0482723i
$939$	13.0346	−	24.8353i	0.425367	−	0.810469i
$940$	−0.397603	−	2.16965i	−0.0129684	−	0.0707661i
$941$	12.5770	+	18.2209i	0.409998	+	0.593984i	0.972526	−	0.232794i	$-0.0747867\pi$
$941$	12.5770	+	18.2209i	0.409998	+	0.593984i	−0.562528	+	0.826778i	$0.690171\pi$
$942$	26.2504	+	43.4234i	0.855283	+	1.41481i
$943$	11.8429	−	48.0484i	0.385657	−	1.56467i
$944$	−39.2963	−	14.9031i	−1.27898	−	0.485055i
$945$	−1.23212	−	1.39078i	−0.0400810	−	0.0452421i
$946$	−20.1396	−	47.9881i	−0.654794	−	1.56023i
$947$	10.2229	−	5.36538i	0.332199	−	0.174352i	−0.290374	−	0.956913i	$-0.593780\pi$
$947$	10.2229	−	5.36538i	0.332199	−	0.174352i	0.622573	+	0.782562i	$0.286087\pi$
$948$	−2.51766	+	2.84185i	−0.0817696	+	0.0922989i
$949$	1.56123	−	25.8102i	0.0506796	−	0.837833i
$950$	28.5998	−	41.4340i	0.927900	−	1.34430i
$951$	−11.8573	+	26.3458i	−0.384499	+	0.854321i
$952$	1.00637	−	3.22957i	0.0326168	−	0.104671i
$953$	−35.9500			−1.16454			−0.582268	−	0.812997i	$-0.697835\pi$
$953$	−35.9500			−1.16454			−0.582268	+	0.812997i	$0.697835\pi$
$954$	21.6550	+	13.8017i	0.701107	+	0.446846i
$955$	−12.2109			−0.395136
$956$	5.36659	+	1.67230i	0.173568	+	0.0540860i
$957$	43.6849	−	52.9169i	1.41213	−	1.71056i
$958$	−13.5512	−	9.35372i	−0.437819	−	0.302205i
$959$	−0.242197	+	4.00399i	−0.00782094	+	0.129296i
$960$	−49.4431	+	55.8098i	−1.59577	+	1.80125i
$961$	−5.74623	−	10.9485i	−0.185362	−	0.353178i
$962$	27.3401	−	21.4196i	0.881481	−	0.690596i
$963$	36.7080	−	32.5204i	1.18290	−	1.04796i
$964$	−1.31092	−	0.497166i	−0.0422219	−	0.0160126i
$965$	−2.61901	−	0.645528i	−0.0843090	−	0.0207803i
$966$	8.84928	+	14.6385i	0.284721	+	0.470986i
$967$	−15.7643	+	10.8813i	−0.506945	+	0.349919i	−0.793923	−	0.608018i	$-0.791965\pi$
$967$	−15.7643	+	10.8813i	−0.506945	+	0.349919i	0.286978	+	0.957937i	$0.407349\pi$
$968$	11.5865	−	31.4306i	0.372404	−	1.01022i
$969$	11.1556	+	5.85491i	0.358370	+	0.188087i
$970$	35.6474	−	13.5193i	1.14457	−	0.434078i
$971$	−42.3070	+	5.13700i	−1.35770	+	0.164854i	−0.766796	−	0.641890i	$-0.778150\pi$
$971$	−42.3070	+	5.13700i	−1.35770	+	0.164854i	−0.590900	+	0.806745i	$0.701227\pi$
$972$	−8.51515	+	3.83236i	−0.273123	+	0.122923i
$973$	−27.4346	−	5.02757i	−0.879512	−	0.161177i
$974$	−25.8581	+	33.0055i	−0.828548	+	1.05756i
$975$	65.1727	−	3.94222i	2.08720	−	0.126252i
$976$	−0.394733	+	0.652968i	−0.0126351	+	0.0209010i
$977$	13.5835	+	13.5835i	0.434574	+	0.434574i	0.890181	−	0.455607i	$-0.150578\pi$
$977$	13.5835	+	13.5835i	0.434574	+	0.434574i	−0.455607	+	0.890181i	$0.650578\pi$
$978$	−6.63454	−	26.9174i	−0.212149	−	0.860723i
$979$	−20.3439	−	8.31596i	−0.650192	−	0.265779i
$980$	7.92568	−	2.46974i	0.253177	−	0.0788930i
$981$	−1.69949	+	0.529584i	−0.0542606	+	0.0169083i
$982$	3.16608	−	26.0750i	0.101034	−	0.832086i
$983$	−7.46240	−	30.2761i	−0.238014	−	0.965659i	−0.961387	−	0.275202i	$-0.911255\pi$
$983$	−7.46240	−	30.2761i	−0.238014	−	0.965659i	0.723373	−	0.690458i	$-0.242591\pi$
$984$	−54.9202	+	54.9202i	−1.75079	+	1.75079i
$985$	−1.98199	−	1.19815i	−0.0631514	−	0.0381763i
$986$	−0.595309	−	9.84163i	−0.0189585	−	0.313421i
$987$	3.37940	+	2.64759i	0.107567	+	0.0842736i
$988$	1.69785	−	9.26488i	0.0540159	−	0.294755i
$989$	−53.4710	+	24.0653i	−1.70028	+	0.765234i
$990$	40.1986	+	5.92678i	1.27760	+	0.188365i
$991$	31.5100	−	11.9502i	1.00095	−	0.379609i	0.200943	−	0.979603i	$-0.435599\pi$
$991$	31.5100	−	11.9502i	1.00095	−	0.379609i	0.800005	+	0.599994i	$0.204830\pi$
$992$	−13.9734	−	7.33383i	−0.443657	−	0.232849i
$993$	9.00124	+	49.1182i	0.285646	+	1.55872i
$994$	1.11185	−	0.767455i	0.0352657	−	0.0243422i
$995$	4.80295	−	2.90348i	0.152264	−	0.0920467i
$996$	2.85247	−	11.5729i	0.0903840	−	0.366702i
$997$	−21.3542	+	56.3065i	−0.676295	+	1.78324i	−0.0566047	+	0.998397i	$0.518027\pi$
$997$	−21.3542	+	56.3065i	−0.676295	+	1.78324i	−0.619690	+	0.784847i	$0.712742\pi$
$998$	−15.6154	−	17.6262i	−0.494297	−	0.557946i
$999$	1.97267	+	2.51793i	0.0624125	+	0.0796637i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	583.2.q.b.21.16	✓	1200
11.10	odd	2	inner	583.2.q.b.21.35	yes	1200
53.48	odd	52	inner	583.2.q.b.472.35	yes	1200
583.472	even	52	inner	583.2.q.b.472.16	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
583.2.q.b.21.16	✓	1200	1.1	even	1	trivial
583.2.q.b.21.35	yes	1200	11.10	odd	2	inner
583.2.q.b.472.16	yes	1200	583.472	even	52	inner
583.2.q.b.472.35	yes	1200	53.48	odd	52	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:	\( N \)	\(=\)	\( 583 = 11 \cdot 53 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	583.q (of order \(52\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.19557 - 0.372556i) q^{2} +(2.19931 + 0.989829i) q^{3} +(-0.355368 - 0.245293i) q^{4} +(3.46694 + 0.209711i) q^{5} +(-2.26067 - 2.00278i) q^{6} +(1.07166 - 0.562448i) q^{7} +(1.87809 + 2.39720i) q^{8} +(1.86784 + 2.10835i) q^{9} +(-4.06686 - 1.54235i) q^{10} +(-1.61584 + 2.89639i) q^{11} +(-0.538766 - 0.891229i) q^{12} +(3.15414 - 2.17715i) q^{13} +(-1.49079 + 0.273197i) q^{14} +(7.41730 + 3.89290i) q^{15} +(-1.04606 - 2.75824i) q^{16} +(-0.110629 - 0.911115i) q^{17} +(-1.44766 - 3.21657i) q^{18} +(-1.02594 + 5.59839i) q^{19} +(-1.18060 - 0.924940i) q^{20} +(2.91363 - 0.176242i) q^{21} +(3.01092 - 2.86085i) q^{22} +(-3.30896 - 3.30896i) q^{23} +(1.75768 + 7.13118i) q^{24} +(7.01215 + 0.851429i) q^{25} +(-4.58212 + 1.42785i) q^{26} +(-0.131500 - 0.421997i) q^{27} +(-0.518796 - 0.0629933i) q^{28} +(-8.32918 + 2.05296i) q^{29} +(-7.41761 - 7.41761i) q^{30} +(3.40677 - 5.63549i) q^{31} +(-0.144694 - 2.39207i) q^{32} +(-6.42067 + 4.77065i) q^{33} +(-0.207176 + 1.13052i) q^{34} +(3.83332 - 1.72524i) q^{35} +(-0.146606 - 1.20741i) q^{36} +(-6.76633 + 2.56613i) q^{37} +(3.31230 - 6.31107i) q^{38} +(9.09195 - 1.66616i) q^{39} +(6.00850 + 8.70481i) q^{40} +(5.47083 + 9.04986i) q^{41} +(-3.54912 - 0.874780i) q^{42} +(4.44334 - 11.7161i) q^{43} +(1.28468 - 0.632929i) q^{44} +(6.03353 + 7.70124i) q^{45} +(2.72333 + 5.18888i) q^{46} +(1.10086 + 0.975280i) q^{47} +(0.429570 - 7.10165i) q^{48} +(-3.14436 + 4.55539i) q^{49} +(-8.06634 - 3.63037i) q^{50} +(0.658540 - 2.11333i) q^{51} -1.65492 q^{52} +(-6.08769 + 3.99250i) q^{53} +0.553520i q^{54} +(-6.20943 + 9.70274i) q^{55} +(3.36096 + 1.51265i) q^{56} +(-7.79781 + 11.2971i) q^{57} +(10.7230 + 0.648621i) q^{58} +(9.44742 - 10.6639i) q^{59} +(-1.68097 - 3.20282i) q^{60} +(-0.159516 - 0.203607i) q^{61} +(-6.17258 + 5.46843i) q^{62} +(3.18752 + 1.20887i) q^{63} +(-2.13012 + 8.64224i) q^{64} +(11.3918 - 6.88658i) q^{65} +(9.45372 - 3.31161i) q^{66} +(2.70579 - 0.495854i) q^{67} +(-0.184176 + 0.350917i) q^{68} +(-4.00212 - 10.5527i) q^{69} +(-5.22576 + 0.634522i) q^{70} +(-0.812856 + 0.365837i) q^{71} +(-1.54618 + 8.43725i) q^{72} +(4.16084 - 5.31092i) q^{73} +(9.04568 - 0.547163i) q^{74} +(14.5791 + 8.81339i) q^{75} +(1.73783 - 1.73783i) q^{76} +(-0.102557 + 4.01275i) q^{77} +(-11.4908 - 1.39524i) q^{78} +(-1.08459 - 3.48059i) q^{79} +(-3.04820 - 9.78202i) q^{80} +(1.14705 - 9.44684i) q^{81} +(-3.16921 - 12.8580i) q^{82} +(8.09299 + 8.09299i) q^{83} +(-1.07864 - 0.652061i) q^{84} +(-0.192474 - 3.18198i) q^{85} +(-9.67726 + 12.3521i) q^{86} +(-20.3505 - 3.72937i) q^{87} +(-9.97792 + 1.56617i) q^{88} +(0.798746 + 6.57827i) q^{89} +(-4.34440 - 11.4552i) q^{90} +(2.15562 - 4.10719i) q^{91} +(0.364234 + 1.98756i) q^{92} +(13.0707 - 9.02207i) q^{93} +(-0.952818 - 1.57615i) q^{94} +(-4.73093 + 19.1941i) q^{95} +(2.04952 - 5.40413i) q^{96} +(-6.56096 + 5.81251i) q^{97} +(5.45645 - 4.27485i) q^{98} +(-9.12473 + 2.00322i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 48 q^{3} - 52 q^{4} - 44 q^{5} - 52 q^{9} - 26 q^{11} - 64 q^{12} - 28 q^{14} - 28 q^{15} + 72 q^{16} - 52 q^{20} - 12 q^{22} - 68 q^{23} - 52 q^{25} - 80 q^{26} - 72 q^{27} - 56 q^{31} - 28 q^{33}+ \cdots - 258 q^{99}+O(q^{100}) \) 1200 * q - 48 * q^3 - 52 * q^4 - 44 * q^5 - 52 * q^9 - 26 * q^11 - 64 * q^12 - 28 * q^14 - 28 * q^15 + 72 * q^16 - 52 * q^20 - 12 * q^22 - 68 * q^23 - 52 * q^25 - 80 * q^26 - 72 * q^27 - 56 * q^31 - 28 * q^33 - 40 * q^34 - 144 * q^36 - 52 * q^37 - 52 * q^38 + 164 * q^42 - 150 * q^44 + 224 * q^45 - 36 * q^47 - 128 * q^48 - 180 * q^49 + 56 * q^53 - 124 * q^55 + 220 * q^56 - 104 * q^59 - 520 * q^60 + 156 * q^64 - 70 * q^66 + 12 * q^67 - 36 * q^69 - 52 * q^70 - 68 * q^71 + 8 * q^75 - 38 * q^77 - 52 * q^78 - 80 * q^80 + 40 * q^81 - 52 * q^82 - 48 * q^86 - 138 * q^88 - 12 * q^89 - 52 * q^91 - 144 * q^92 + 156 * q^93 + 36 * q^97 - 258 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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