LMFDB - Embedded newform 820.2.bv.c.207.15

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [820,2,Mod(103,820)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(820, base_ring=CyclotomicField(20)) chi = DirichletCharacter(H, H._module([10, 15, 7])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("820.103"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 820 = 2^{2} \cdot 5 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	820.bv (of order $20$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [960,-10] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$6.54773296574$
Analytic rank:	$0$
Dimension:	$960$
Relative dimension:	$120$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			207.15
Character	$\chi$	$=$	820.207
Dual form			820.2.bv.c.103.15

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.31293 + 0.525554i) q^{2} -1.83316 q^{3} +(1.44759 - 1.38003i) q^{4} +(-1.25773 + 1.84882i) q^{5} +(2.40682 - 0.963425i) q^{6} +(3.32085 + 1.07901i) q^{7} +(-1.17530 + 2.57268i) q^{8} +0.360477 q^{9} +(0.679658 - 3.08838i) q^{10} +(0.282507 + 1.78368i) q^{11} +(-2.65366 + 2.52982i) q^{12} +(5.53588 - 1.79872i) q^{13} +(-4.92713 + 0.328618i) q^{14} +(2.30562 - 3.38918i) q^{15} +(0.191011 - 3.99544i) q^{16} +(4.18315 - 5.75762i) q^{17} +(-0.473282 + 0.189450i) q^{18} +(-5.03222 + 2.56405i) q^{19} +(0.730762 + 4.41203i) q^{20} +(-6.08764 - 1.97799i) q^{21} +(-1.30833 - 2.19338i) q^{22} +(-2.04108 + 4.00584i) q^{23} +(2.15451 - 4.71613i) q^{24} +(-1.83625 - 4.65061i) q^{25} +(-6.32292 + 5.27100i) q^{26} +4.83867 q^{27} +(6.29628 - 3.02092i) q^{28} +(-2.41555 - 0.382585i) q^{29} +(-1.24592 + 5.66149i) q^{30} +(3.51404 - 4.83666i) q^{31} +(1.84903 + 5.34613i) q^{32} +(-0.517881 - 3.26977i) q^{33} +(-2.46626 + 9.75784i) q^{34} +(-6.17161 + 4.78254i) q^{35} +(0.521821 - 0.497470i) q^{36} +(0.261557 + 0.0414266i) q^{37} +(5.25943 - 6.01113i) q^{38} +(-10.1482 + 3.29734i) q^{39} +(-3.27820 - 5.40864i) q^{40} +(6.30138 + 1.13693i) q^{41} +(9.03221 - 0.602410i) q^{42} +(7.33880 + 3.73931i) q^{43} +(2.87049 + 2.19216i) q^{44} +(-0.453381 + 0.666455i) q^{45} +(0.574513 - 6.33210i) q^{46} +(0.0774669 + 0.238419i) q^{47} +(-0.350153 + 7.32428i) q^{48} +(4.20064 + 3.05194i) q^{49} +(4.85502 + 5.14090i) q^{50} +(-7.66839 + 10.5546i) q^{51} +(5.53138 - 10.2435i) q^{52} +(3.83604 + 5.27985i) q^{53} +(-6.35285 + 2.54298i) q^{54} +(-3.65302 - 1.72108i) q^{55} +(-6.67893 + 7.27530i) q^{56} +(9.22487 - 4.70031i) q^{57} +(3.37252 - 0.767192i) q^{58} +(2.97884 + 9.16792i) q^{59} +(-1.33960 - 8.08795i) q^{60} +(0.363458 + 0.118095i) q^{61} +(-2.07177 + 8.19703i) q^{62} +(1.19709 + 0.388957i) q^{63} +(-5.23734 - 6.04734i) q^{64} +(-3.63713 + 12.4971i) q^{65} +(2.39839 + 4.02082i) q^{66} +(-11.6790 + 8.48529i) q^{67} +(-1.89023 - 14.1075i) q^{68} +(3.74163 - 7.34335i) q^{69} +(5.58942 - 9.52266i) q^{70} +(0.342417 + 2.16194i) q^{71} +(-0.423669 + 0.927390i) q^{72} +(11.3074 + 11.3074i) q^{73} +(-0.365179 + 0.0830721i) q^{74} +(3.36613 + 8.52532i) q^{75} +(-3.74611 + 10.6563i) q^{76} +(-0.986443 + 6.22816i) q^{77} +(11.5909 - 9.66259i) q^{78} +(-1.78734 + 1.78734i) q^{79} +(7.14659 + 5.37831i) q^{80} -9.95149 q^{81} +(-8.87081 + 1.81900i) q^{82} +(-0.302351 - 0.302351i) q^{83} +(-11.5421 + 5.53784i) q^{84} +(5.38351 + 14.9754i) q^{85} +(-11.6006 - 1.05252i) q^{86} +(4.42808 + 0.701340i) q^{87} +(-4.92087 - 1.36956i) q^{88} +(-13.6784 + 6.96948i) q^{89} +(0.245001 - 1.11329i) q^{90} +20.3246 q^{91} +(2.57356 + 8.61556i) q^{92} +(-6.44180 + 8.86638i) q^{93} +(-0.227011 - 0.272315i) q^{94} +(1.58871 - 12.5285i) q^{95} +(-3.38957 - 9.80031i) q^{96} +(-1.09328 - 1.50476i) q^{97} +(-7.11912 - 1.79933i) q^{98} +(0.101837 + 0.642975i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 960 q - 10 q^{2} - 20 q^{5} - 16 q^{6} + 2 q^{8} + 960 q^{9} - 60 q^{10} - 40 q^{12} - 20 q^{13} - 8 q^{14} - 28 q^{16} - 20 q^{17} - 48 q^{18} - 34 q^{20} - 40 q^{21} - 10 q^{22} - 48 q^{24} - 4 q^{25}+ \cdots - 38 q^{98}+O(q^{100}) $ 960 * q - 10 * q^2 - 20 * q^5 - 16 * q^6 + 2 * q^8 + 960 * q^9 - 60 * q^10 - 40 * q^12 - 20 * q^13 - 8 * q^14 - 28 * q^16 - 20 * q^17 - 48 * q^18 - 34 * q^20 - 40 * q^21 - 10 * q^22 - 48 * q^24 - 4 * q^25 - 20 * q^26 - 10 * q^28 - 10 * q^30 - 56 * q^33 - 20 * q^34 - 100 * q^36 + 88 * q^37 - 16 * q^40 - 24 * q^41 - 104 * q^42 - 100 * q^45 - 20 * q^46 - 40 * q^48 + 224 * q^49 - 12 * q^50 - 38 * q^52 - 20 * q^53 - 52 * q^54 + 96 * q^56 - 72 * q^57 - 38 * q^58 - 14 * q^60 - 40 * q^61 - 10 * q^62 - 120 * q^64 - 60 * q^65 - 12 * q^66 - 116 * q^68 - 104 * q^69 - 96 * q^70 - 24 * q^72 - 72 * q^73 - 28 * q^74 - 40 * q^76 - 76 * q^77 - 44 * q^78 - 90 * q^80 + 592 * q^81 - 130 * q^82 - 92 * q^84 - 64 * q^85 - 12 * q^86 - 104 * q^88 + 136 * q^89 - 364 * q^90 - 220 * q^92 - 32 * q^94 - 44 * q^96 + 80 * q^97 - 38 * q^98

Character values

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

$n$	$411$	$621$	$657$
$\chi(n)$	$-1$	$e\left(\frac{13}{20}\right)$	$e\left(\frac{1}{4}\right)$

Coefficient data

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

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

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

$2$	−1.31293	+	0.525554i	−0.928384	+	0.371623i
$2$	−1.31293	+	0.525554i	−0.928384	+	0.371623i
$3$	−1.83316			−1.05838			−0.529188	−	0.848505i	$-0.677503\pi$
$3$	−1.83316			−1.05838			−0.529188	+	0.848505i	$0.677503\pi$
$4$	1.44759	−	1.38003i	0.723793	−	0.690017i
$5$	−1.25773	+	1.84882i	−0.562473	+	0.826816i
$5$	−1.25773	+	1.84882i	−0.562473	+	0.826816i
$6$	2.40682	−	0.963425i	0.982579	−	0.393316i
$7$	3.32085	+	1.07901i	1.25516	+	0.407827i	0.859768	−	0.510685i	$-0.170608\pi$
$7$	3.32085	+	1.07901i	1.25516	+	0.407827i	0.395394	+	0.918512i	$0.370608\pi$
$8$	−1.17530	+	2.57268i	−0.415532	+	0.909579i
$9$	0.360477			0.120159
$10$	0.679658	−	3.08838i	0.214927	−	0.976630i
$11$	0.282507	+	1.78368i	0.0851792	+	0.537800i	0.992969	+	0.118375i	$0.0377684\pi$
$11$	0.282507	+	1.78368i	0.0851792	+	0.537800i	−0.907790	+	0.419425i	$0.862232\pi$
$12$	−2.65366	+	2.52982i	−0.766045	+	0.730297i
$13$	5.53588	−	1.79872i	1.53538	−	0.498874i	0.585281	−	0.810830i	$-0.300984\pi$
$13$	5.53588	−	1.79872i	1.53538	−	0.498874i	0.950097	+	0.311956i	$0.100984\pi$
$14$	−4.92713	+	0.328618i	−1.31683	+	0.0878269i
$15$	2.30562	−	3.38918i	0.595307	−	0.875082i
$16$	0.191011	−	3.99544i	0.0477527	−	0.998859i
$17$	4.18315	−	5.75762i	1.01456	−	1.39643i	0.0986182	−	0.995125i	$-0.468558\pi$
$17$	4.18315	−	5.75762i	1.01456	−	1.39643i	0.915946	−	0.401302i	$-0.131442\pi$
$18$	−0.473282	+	0.189450i	−0.111554	+	0.0446538i
$19$	−5.03222	+	2.56405i	−1.15447	+	0.588232i	−0.923072	−	0.384626i	$-0.874330\pi$
$19$	−5.03222	+	2.56405i	−1.15447	+	0.588232i	−0.231399	+	0.972859i	$0.574330\pi$
$20$	0.730762	+	4.41203i	0.163403	+	0.986559i
$21$	−6.08764	−	1.97799i	−1.32843	−	0.431634i
$22$	−1.30833	−	2.19338i	−0.278938	−	0.467630i
$23$	−2.04108	+	4.00584i	−0.425594	+	0.835276i	0.574268	+	0.818668i	$0.305287\pi$
$23$	−2.04108	+	4.00584i	−0.425594	+	0.835276i	−0.999862	+	0.0166085i	$0.994713\pi$
$24$	2.15451	−	4.71613i	0.439789	−	0.962676i
$25$	−1.83625	−	4.65061i	−0.367249	−	0.930123i
$26$	−6.32292	+	5.27100i	−1.24003	+	1.03373i
$27$	4.83867			0.931202
$28$	6.29628	−	3.02092i	1.18988	−	0.570901i
$29$	−2.41555	−	0.382585i	−0.448556	−	0.0710442i	−0.0719298	−	0.997410i	$-0.522916\pi$
$29$	−2.41555	−	0.382585i	−0.448556	−	0.0710442i	−0.376626	+	0.926365i	$0.622916\pi$
$30$	−1.24592	+	5.66149i	−0.227473	+	1.03364i
$31$	3.51404	−	4.83666i	0.631141	−	0.868690i	−0.366964	−	0.930235i	$-0.619603\pi$
$31$	3.51404	−	4.83666i	0.631141	−	0.868690i	0.998104	+	0.0615448i	$0.0196027\pi$
$32$	1.84903	+	5.34613i	0.326866	+	0.945071i
$33$	−0.517881	−	3.26977i	−0.0901516	−	0.569195i
$34$	−2.46626	+	9.75784i	−0.422960	+	1.67346i
$35$	−6.17161	+	4.78254i	−1.04319	+	0.808396i
$36$	0.521821	−	0.497470i	0.0869702	−	0.0829117i
$37$	0.261557	+	0.0414266i	0.0429997	+	0.00681049i	0.177897	−	0.984049i	$-0.443071\pi$
$37$	0.261557	+	0.0414266i	0.0429997	+	0.00681049i	−0.134898	+	0.990860i	$0.543071\pi$
$38$	5.25943	−	6.01113i	0.853192	−	0.975133i
$39$	−10.1482	+	3.29734i	−1.62501	+	0.527997i
$40$	−3.27820	−	5.40864i	−0.518329	−	0.855181i
$41$	6.30138	+	1.13693i	0.984110	+	0.177559i
$41$	6.30138	+	1.13693i	0.984110	+	0.177559i
$42$	9.03221	−	0.602410i	1.39370	−	0.0929539i
$43$	7.33880	+	3.73931i	1.11916	+	0.570239i	0.912869	−	0.408253i	$-0.133862\pi$
$43$	7.33880	+	3.73931i	1.11916	+	0.570239i	0.206288	+	0.978491i	$0.433862\pi$
$44$	2.87049	+	2.19216i	0.432743	+	0.330481i
$45$	−0.453381	+	0.666455i	−0.0675861	+	0.0993493i
$46$	0.574513	−	6.33210i	0.0847074	−	0.933617i
$47$	0.0774669	+	0.238419i	0.0112997	+	0.0347769i	0.956547	−	0.291577i	$-0.0941799\pi$
$47$	0.0774669	+	0.238419i	0.0112997	+	0.0347769i	−0.945248	+	0.326354i	$0.894180\pi$
$48$	−0.350153	+	7.32428i	−0.0505402	+	1.05717i
$49$	4.20064	+	3.05194i	0.600091	+	0.435992i
$50$	4.85502	+	5.14090i	0.686603	+	0.727033i
$51$	−7.66839	+	10.5546i	−1.07379	+	1.47794i
$52$	5.53138	−	10.2435i	0.767064	−	1.42052i
$53$	3.83604	+	5.27985i	0.526920	+	0.725244i	0.986657	−	0.162812i	$-0.0520563\pi$
$53$	3.83604	+	5.27985i	0.526920	+	0.725244i	−0.459737	+	0.888055i	$0.652056\pi$
$54$	−6.35285	+	2.54298i	−0.864513	+	0.346056i
$55$	−3.65302	−	1.72108i	−0.492573	−	0.232070i
$56$	−6.67893	+	7.27530i	−0.892510	+	0.972203i
$57$	9.22487	−	4.70031i	1.22186	−	0.622571i
$58$	3.37252	−	0.767192i	0.442834	−	0.100737i
$59$	2.97884	+	9.16792i	0.387812	+	1.19356i	0.934420	+	0.356173i	$0.115919\pi$
$59$	2.97884	+	9.16792i	0.387812	+	1.19356i	−0.546609	+	0.837388i	$0.684081\pi$
$60$	−1.33960	−	8.08795i	−0.172942	−	1.04415i
$61$	0.363458	+	0.118095i	0.0465360	+	0.0151205i	0.332193	−	0.943212i	$-0.392212\pi$
$61$	0.363458	+	0.118095i	0.0465360	+	0.0151205i	−0.285656	+	0.958332i	$0.592212\pi$
$62$	−2.07177	+	8.19703i	−0.263115	+	1.04102i
$63$	1.19709	+	0.388957i	0.150819	+	0.0490040i
$64$	−5.23734	−	6.04734i	−0.654667	−	0.755917i
$65$	−3.63713	+	12.4971i	−0.451131	+	1.55008i
$66$	2.39839	+	4.02082i	0.295221	+	0.494929i
$67$	−11.6790	+	8.48529i	−1.42682	+	1.03664i	−0.436219	+	0.899841i	$0.643683\pi$
$67$	−11.6790	+	8.48529i	−1.42682	+	1.03664i	−0.990598	+	0.136803i	$0.956317\pi$
$68$	−1.89023	−	14.1075i	−0.229225	−	1.71079i
$69$	3.74163	−	7.34335i	0.450439	−	0.884036i
$70$	5.58942	−	9.52266i	0.668064	−	1.13818i
$71$	0.342417	+	2.16194i	0.0406375	+	0.256575i	0.999640	−	0.0268219i	$-0.00853869\pi$
$71$	0.342417	+	2.16194i	0.0406375	+	0.256575i	−0.959003	+	0.283397i	$0.908539\pi$
$72$	−0.423669	+	0.927390i	−0.0499298	+	0.109294i
$73$	11.3074	+	11.3074i	1.32343	+	1.32343i	0.910982	+	0.412445i	$0.135325\pi$
$73$	11.3074	+	11.3074i	1.32343	+	1.32343i	0.412445	+	0.910982i	$0.364675\pi$
$74$	−0.365179	+	0.0830721i	−0.0424512	+	0.00965693i
$75$	3.36613	+	8.52532i	0.388687	+	0.984419i
$76$	−3.74611	+	10.6563i	−0.429708	+	1.22236i
$77$	−0.986443	+	6.22816i	−0.112416	+	0.709764i
$78$	11.5909	−	9.66259i	1.31241	−	1.09407i
$79$	−1.78734	+	1.78734i	−0.201091	+	0.201091i	−0.800467	−	0.599376i	$-0.795415\pi$
$79$	−1.78734	+	1.78734i	−0.201091	+	0.201091i	0.599376	+	0.800467i	$0.295415\pi$
$80$	7.14659	+	5.37831i	0.799013	+	0.601314i
$81$	−9.95149			−1.10572
$82$	−8.87081	+	1.81900i	−0.979617	+	0.200875i
$83$	−0.302351	−	0.302351i	−0.0331874	−	0.0331874i	0.690318	−	0.723506i	$-0.257470\pi$
$83$	−0.302351	−	0.302351i	−0.0331874	−	0.0331874i	−0.723506	+	0.690318i	$0.757470\pi$
$84$	−11.5421	+	5.53784i	−1.25934	+	0.604228i
$85$	5.38351	+	14.9754i	0.583924	+	1.62431i
$86$	−11.6006	−	1.05252i	−1.25092	−	0.113496i
$87$	4.42808	+	0.701340i	0.474740	+	0.0751915i
$88$	−4.92087	−	1.36956i	−0.524566	−	0.145996i
$89$	−13.6784	+	6.96948i	−1.44991	+	0.738764i	−0.988893	−	0.148630i	$-0.952514\pi$
$89$	−13.6784	+	6.96948i	−1.44991	+	0.738764i	−0.461012	+	0.887394i	$0.652514\pi$
$90$	0.245001	−	1.11329i	0.0258254	−	0.117351i
$91$	20.3246			2.13060
$92$	2.57356	+	8.61556i	0.268313	+	0.898234i
$93$	−6.44180	+	8.86638i	−0.667984	+	0.919401i
$94$	−0.227011	−	0.272315i	−0.0234144	−	0.0280871i
$95$	1.58871	−	12.5285i	0.162999	−	1.28540i
$96$	−3.38957	−	9.80031i	−0.345947	−	1.00024i
$97$	−1.09328	−	1.50476i	−0.111005	−	0.152786i	0.749900	−	0.661552i	$-0.230102\pi$
$97$	−1.09328	−	1.50476i	−0.111005	−	0.152786i	−0.860905	+	0.508766i	$0.830102\pi$
$98$	−7.11912	−	1.79933i	−0.719140	−	0.181760i
$99$	0.101837	+	0.642975i	0.0102350	+	0.0646215i
$100$	−9.07613	−	4.19808i	−0.907613	−	0.419808i
$101$	−6.79231	+	3.46086i	−0.675860	+	0.344368i	−0.758002	−	0.652253i	$-0.773824\pi$
$101$	−6.79231	+	3.46086i	−0.675860	+	0.344368i	0.0821413	+	0.996621i	$0.473824\pi$
$102$	4.52105	−	17.8877i	0.447651	−	1.77114i
$103$	0.505975	+	0.993032i	0.0498552	+	0.0978464i	0.914590	−	0.404382i	$-0.132514\pi$
$103$	0.505975	+	0.993032i	0.0498552	+	0.0978464i	−0.864735	+	0.502229i	$0.832514\pi$
$104$	−1.87881	+	16.3561i	−0.184232	+	1.60385i
$105$	11.3135	−	8.76716i	1.10409	−	0.855587i
$106$	−7.81131	−	4.91605i	−0.758701	−	0.477489i
$107$	−1.66077	−	3.25945i	−0.160553	−	0.315103i	0.796690	−	0.604388i	$-0.206582\pi$
$107$	−1.66077	−	3.25945i	−0.160553	−	0.315103i	−0.957243	+	0.289285i	$0.906582\pi$
$108$	7.00439	−	6.67753i	0.673998	−	0.642546i
$109$	9.10287	−	9.10287i	0.871897	−	0.871897i	−0.120782	−	0.992679i	$-0.538540\pi$
$109$	9.10287	−	9.10287i	0.871897	−	0.871897i	0.992679	+	0.120782i	$0.0385403\pi$
$110$	5.70069	+	0.339805i	0.543539	+	0.0323991i
$111$	−0.479476	−	0.0759416i	−0.0455099	−	0.00720805i
$112$	4.94543	−	13.0621i	0.467299	−	1.23426i
$113$	−5.09514	+	0.806991i	−0.479310	+	0.0759153i	−0.391415	−	0.920214i	$-0.628014\pi$
$113$	−5.09514	+	0.806991i	−0.479310	+	0.0759153i	−0.0878956	+	0.996130i	$0.528014\pi$
$114$	−9.64137	+	11.0194i	−0.902997	+	1.03206i
$115$	−4.83895	−	8.81184i	−0.451234	−	0.821708i
$116$	−4.02469	+	2.77971i	−0.373683	+	0.258090i
$117$	1.99556	−	0.648396i	0.184489	−	0.0599442i
$118$	−8.72925	−	10.4713i	−0.803592	−	0.963963i
$119$	20.1041	−	14.6065i	1.84294	−	1.33898i
$120$	6.00947	+	9.91491i	0.548587	+	0.905103i
$121$	7.35991	−	2.39138i	0.669083	−	0.217398i
$122$	−0.539261	+	0.0359664i	−0.0488224	+	0.00325625i
$123$	−11.5514	−	2.08418i	−1.04156	−	0.187924i
$124$	−1.58788	−	11.8510i	−0.142596	−	1.06425i
$125$	10.9076	+	2.45432i	0.975608	+	0.219521i
$126$	−1.77611	+	0.118459i	−0.158229	+	0.0105532i
$127$	1.72345	−	10.8815i	0.152932	−	0.965573i	−0.785187	−	0.619259i	$-0.787433\pi$
$127$	1.72345	−	10.8815i	0.152932	−	0.965573i	0.938119	−	0.346314i	$-0.112567\pi$
$128$	10.0545	+	5.18725i	0.888698	+	0.458492i
$129$	−13.4532	−	6.85475i	−1.18449	−	0.603527i
$130$	−1.79261	−	18.3194i	−0.157222	−	1.60672i
$131$	11.9181	+	8.65902i	1.04129	+	0.756542i	0.970537	−	0.240952i	$-0.0774596\pi$
$131$	11.9181	+	8.65902i	1.04129	+	0.756542i	0.0707535	+	0.997494i	$0.477460\pi$
$132$	−5.26208	−	4.01858i	−0.458005	−	0.349773i
$133$	−19.4779	+	3.08499i	−1.68895	+	0.267503i
$134$	10.8743	−	17.2786i	0.939394	−	1.49264i
$135$	−6.08573	+	8.94581i	−0.523776	+	0.769933i
$136$	9.89603	+	17.5288i	0.848577	+	1.50309i
$137$		−	3.24368i		−	0.277126i	−0.990354	−	0.138563i	$-0.955752\pi$
$137$		−	3.24368i		−	0.277126i	0.990354	−	0.138563i	$-0.0442484\pi$
$138$	−1.05317	+	11.6078i	−0.0896522	+	0.988118i
$139$	−0.289512	+	0.891025i	−0.0245561	+	0.0755758i	−0.962584	−	0.270985i	$-0.912651\pi$
$139$	−0.289512	+	0.891025i	−0.0245561	+	0.0755758i	0.938027	+	0.346561i	$0.112651\pi$
$140$	−2.33387	+	15.4402i	−0.197248	+	1.30493i
$141$	−0.142009	−	0.437059i	−0.0119593	−	0.0368070i
$142$	−1.58579	−	2.65852i	−0.133076	−	0.223098i
$143$	4.77227	+	9.36610i	0.399077	+	0.783233i
$144$	0.0688549	−	1.44026i	0.00573791	−	0.120022i
$145$	3.74543	−	3.98471i	0.311041	−	0.330913i
$146$	−20.7885	−	8.90319i	−1.72046	−	0.736833i
$147$	−7.70044	−	5.59470i	−0.635122	−	0.461443i
$148$	0.435797	−	0.300989i	0.0358223	−	0.0247412i
$149$	2.00618	−	12.6665i	0.164353	−	1.03768i	−0.758259	−	0.651953i	$-0.773950\pi$
$149$	2.00618	−	12.6665i	0.164353	−	1.03768i	0.922612	−	0.385729i	$-0.126050\pi$
$150$	−8.90002	−	9.42409i	−0.726684	−	0.769474i
$151$	−8.21940	+	16.1315i	−0.668885	+	1.31276i	0.268100	+	0.963391i	$0.413604\pi$
$151$	−8.21940	+	16.1315i	−0.668885	+	1.31276i	−0.936985	+	0.349370i	$0.886396\pi$
$152$	−0.682085	−	15.9598i	−0.0553244	−	1.29451i
$153$	1.50793	−	2.07549i	0.121909	−	0.167793i
$154$	−1.97810	−	8.69558i	−0.159400	−	0.700710i
$155$	4.52240	+	12.5800i	0.363248	+	1.01045i
$156$	−10.1399	+	18.7780i	−0.811842	+	1.50344i
$157$	−6.88548	+	21.1913i	−0.549521	+	1.69125i	0.160470	+	0.987041i	$0.448699\pi$
$157$	−6.88548	+	21.1913i	−0.549521	+	1.69125i	−0.709991	+	0.704211i	$0.751301\pi$
$158$	1.40731	−	3.28600i	0.111960	−	0.261420i
$159$	−7.03207	−	9.67882i	−0.557680	−	0.767580i
$160$	−12.2096	−	3.30544i	−0.965253	−	0.261318i
$161$	−11.1004	+	11.1004i	−0.874838	+	0.874838i
$162$	13.0656	−	5.23004i	1.02653	−	0.410911i
$163$	4.15115	+	4.15115i	0.325143	+	0.325143i	0.850736	−	0.525593i	$-0.176156\pi$
$163$	4.15115	+	4.15115i	0.325143	+	0.325143i	−0.525593	+	0.850736i	$0.676156\pi$
$164$	10.6908	−	7.05031i	0.834811	−	0.550537i
$165$	6.69656	+	3.15502i	0.521327	+	0.245618i
$166$	0.555869	+	0.238065i	0.0431438	+	0.0184774i
$167$		−	10.3090i		−	0.797736i	−0.917008	−	0.398868i	$-0.869403\pi$
$167$		−	10.3090i		−	0.797736i	0.917008	−	0.398868i	$-0.130597\pi$
$168$	12.2436	−	13.3368i	0.944611	−	1.02896i
$169$	16.8934	−	12.2738i	1.29949	−	0.944136i
$170$	−14.9386	−	16.8324i	−1.14574	−	1.29098i
$171$	−1.81400	+	0.924279i	−0.138720	+	0.0706814i
$172$	15.7839	−	4.71483i	1.20351	−	0.359502i
$173$	−12.1066	−	12.1066i	−0.920451	−	0.920451i	0.0766104	−	0.997061i	$-0.475590\pi$
$173$	−12.1066	−	12.1066i	−0.920451	−	0.920451i	−0.997061	+	0.0766104i	$0.975590\pi$
$174$	−6.18237	+	1.40639i	−0.468684	+	0.106618i
$175$	−1.07984	−	17.4253i	−0.0816281	−	1.31723i
$176$	7.18055	−	0.788038i	0.541254	−	0.0594006i
$177$	−5.46069	−	16.8063i	−0.410450	−	1.26324i
$178$	14.2960	−	16.3392i	1.07153	−	1.22467i
$179$	17.1633	+	2.71840i	1.28284	+	0.203182i	0.760380	−	0.649479i	$-0.225013\pi$
$179$	17.1633	+	2.71840i	1.28284	+	0.203182i	0.522464	+	0.852661i	$0.325013\pi$
$180$	0.263423	+	1.59043i	0.0196344	+	0.118544i
$181$	2.35106	+	14.8440i	0.174753	+	1.10335i	0.906635	+	0.421917i	$0.138642\pi$
$181$	2.35106	+	14.8440i	0.174753	+	1.10335i	−0.731881	+	0.681432i	$0.761358\pi$
$182$	−26.6849	+	10.6817i	−1.97802	+	0.791780i
$183$	−0.666277	−	0.216486i	−0.0492526	−	0.0160031i
$184$	−7.90686	−	9.95911i	−0.582901	−	0.734195i
$185$	−0.405558	+	0.431468i	−0.0298172	+	0.0317221i
$186$	3.79789	−	15.0265i	0.278475	−	1.10179i
$187$	11.4515	+	5.83484i	0.837419	+	0.426686i
$188$	0.441166	+	0.238224i	0.0321753	+	0.0173743i
$189$	16.0685	+	5.22096i	1.16881	+	0.379769i
$190$	4.49854	+	17.2841i	0.326359	+	1.25392i
$191$	−5.03260	+	5.03260i	−0.364146	+	0.364146i	−0.865337	−	0.501191i	$-0.832896\pi$
$191$	−5.03260	+	5.03260i	−0.364146	+	0.364146i	0.501191	+	0.865337i	$0.332896\pi$
$192$	9.60088	+	11.0857i	0.692884	+	0.800045i
$193$	7.95298	+	10.9463i	0.572468	+	0.787934i	0.992844	−	0.119415i	$-0.0381020\pi$
$193$	7.95298	+	10.9463i	0.572468	+	0.787934i	−0.420377	+	0.907350i	$0.638102\pi$
$194$	2.22623	+	1.40108i	0.159834	+	0.100592i
$195$	6.66744	−	22.9092i	0.477466	−	1.64056i
$196$	10.2926	−	1.37908i	0.735184	−	0.0985054i
$197$	−0.469755	+	0.0744019i	−0.0334687	+	0.00530092i	−0.173146	−	0.984896i	$-0.555393\pi$
$197$	−0.469755	+	0.0744019i	−0.0334687	+	0.00530092i	0.139678	+	0.990197i	$0.455393\pi$
$198$	−0.471624	−	0.790663i	−0.0335169	−	0.0561900i
$199$	3.40628	−	6.68519i	0.241464	−	0.473901i	−0.738190	−	0.674593i	$-0.764319\pi$
$199$	3.40628	−	6.68519i	0.241464	−	0.473901i	0.979654	+	0.200692i	$0.0643192\pi$
$200$	14.1227	+	0.741804i	0.998623	+	0.0524534i
$201$	21.4095	−	15.5549i	1.51011	−	1.09716i
$202$	7.09899	−	8.11360i	0.499483	−	0.570871i
$203$	−7.60885	−	3.87690i	−0.534036	−	0.272105i
$204$	3.46510	+	25.8614i	0.242606	+	1.81066i
$205$	−10.0274	+	10.2201i	−0.700344	+	0.713806i
$206$	−1.18620	−	1.03787i	−0.0826467	−	0.0723116i
$207$	−0.735761	+	1.44401i	−0.0511390	+	0.100366i
$208$	−6.12925	−	22.4618i	−0.424987	−	1.55745i
$209$	−5.99508	−	8.25152i	−0.414688	−	0.570770i
$210$	−10.2463	+	17.4566i	−0.707063	+	1.20462i
$211$	−14.8419	−	7.56235i	−1.02176	−	0.520613i	−0.138929	−	0.990302i	$-0.544366\pi$
$211$	−14.8419	−	7.56235i	−1.02176	−	0.520613i	−0.882832	+	0.469689i	$0.844366\pi$
$212$	12.8394	+	2.34918i	0.881812	+	0.161342i
$213$	−0.627706	−	3.96318i	−0.0430097	−	0.271553i
$214$	3.89350	+	3.40661i	0.266154	+	0.232871i
$215$	−16.1435	+	8.86507i	−1.10098	+	0.604593i
$216$	−5.68689	+	12.4483i	−0.386944	+	0.847002i
$217$	16.8884	−	12.2701i	1.14646	−	0.832951i
$218$	−7.16741	+	16.7355i	−0.485438	+	1.13347i
$219$	−20.7282	−	20.7282i	−1.40068	−	1.40068i
$220$	−7.66320	+	2.54988i	−0.516653	+	0.171913i
$221$	12.8011	−	39.3978i	0.861097	−	2.65018i
$222$	0.669431	−	0.152284i	0.0449293	−	0.0102207i
$223$	−1.24252	+	2.43859i	−0.0832055	+	0.163300i	−0.928860	−	0.370430i	$-0.879210\pi$
$223$	−1.24252	+	2.43859i	−0.0832055	+	0.163300i	0.845655	+	0.533730i	$0.179210\pi$
$224$	0.371840	+	19.7488i	0.0248446	+	1.31952i
$225$	−0.661924	−	1.67644i	−0.0441282	−	0.111763i
$226$	6.26546	−	3.73730i	0.416772	−	0.248601i
$227$	5.46993	−	16.8347i	0.363052	−	1.11736i	−0.588140	−	0.808759i	$-0.700139\pi$
$227$	5.46993	−	16.8347i	0.363052	−	1.11736i	0.951192	−	0.308600i	$-0.0998605\pi$
$228$	6.86721	−	19.5347i	0.454792	−	1.29372i
$229$	−4.37280	+	0.692584i	−0.288963	+	0.0457672i	−0.299233	−	0.954180i	$-0.596731\pi$
$229$	−4.37280	+	0.692584i	−0.288963	+	0.0457672i	0.0102702	+	0.999947i	$0.496731\pi$
$230$	10.9843	+	9.02622i	0.724284	+	0.595172i
$231$	1.80831	−	11.4172i	0.118978	−	0.751197i
$232$	3.82326	−	5.76477i	0.251009	−	0.378476i
$233$	15.7148	−	5.10606i	1.02951	−	0.334509i	0.254915	−	0.966963i	$-0.417952\pi$
$233$	15.7148	−	5.10606i	1.02951	−	0.334509i	0.774597	+	0.632455i	$0.217952\pi$
$234$	−2.27927	+	1.90007i	−0.149000	+	0.124212i
$235$	−0.538224	−	0.156643i	−0.0351099	−	0.0102183i
$236$	16.9642	+	9.16045i	1.10427	+	0.596295i
$237$	3.27648	−	3.27648i	0.212830	−	0.212830i
$238$	−18.7189	+	29.7432i	−1.21336	+	1.92796i
$239$	−6.65160	−	13.0545i	−0.430256	−	0.844425i	−0.999748	−	0.0224284i	$-0.992860\pi$
$239$	−6.65160	−	13.0545i	−0.430256	−	0.844425i	0.569492	−	0.821997i	$-0.307140\pi$
$240$	−13.1008	−	9.85931i	−0.845656	−	0.636416i
$241$	−2.40231	−	3.30650i	−0.154746	−	0.212990i	0.724604	−	0.689166i	$-0.242023\pi$
$241$	−2.40231	−	3.30650i	−0.154746	−	0.212990i	−0.879350	+	0.476175i	$0.842023\pi$
$242$	−8.40627	+	7.00775i	−0.540376	+	0.450476i
$243$	3.72666			0.239065
$244$	0.689112	−	0.330632i	0.0441158	−	0.0211666i
$245$	−10.9257	+	3.92770i	−0.698020	+	0.250932i
$246$	16.2616	−	3.33452i	1.03680	−	0.212601i
$247$	−23.2458	+	23.2458i	−1.47910	+	1.47910i
$248$	8.31312	+	14.7250i	0.527883	+	0.935040i
$249$	0.554258	+	0.554258i	0.0351247	+	0.0351247i
$250$	−15.6109	+	2.51019i	−0.987317	+	0.158758i
$251$	−20.1452	+	14.6364i	−1.27156	+	0.923839i	−0.999263	−	0.0383758i	$-0.987782\pi$
$251$	−20.1452	+	14.6364i	−1.27156	+	0.923839i	−0.272292	+	0.962215i	$0.587782\pi$
$252$	2.26966	−	1.08897i	0.142975	−	0.0685988i
$253$	−7.72177	−	2.50895i	−0.485463	−	0.157737i
$254$	3.45601	+	15.1924i	0.216850	+	0.953255i
$255$	−9.86884	−	27.4523i	−0.618011	−	1.71913i
$256$	−15.9270	−	1.52634i	−0.995439	−	0.0953964i
$257$	−4.01722	−	2.91868i	−0.250588	−	0.182063i	0.455400	−	0.890287i	$-0.349496\pi$
$257$	−4.01722	−	2.91868i	−0.250588	−	0.182063i	−0.705987	+	0.708225i	$0.749496\pi$
$258$	21.2657	+	1.92944i	1.32394	+	0.120122i
$259$	0.823891	+	0.419794i	0.0511941	+	0.0260847i
$260$	11.9814	+	23.1100i	0.743055	+	1.43322i
$261$	−0.870748	−	0.137913i	−0.0538980	−	0.00853660i
$262$	−20.1985	−	5.10510i	−1.24787	−	0.315394i
$263$	14.2776	−	19.6515i	0.880396	−	1.21176i	−0.0959150	−	0.995390i	$-0.530578\pi$
$263$	14.2776	−	19.6515i	0.880396	−	1.21176i	0.976311	−	0.216372i	$-0.0694223\pi$
$264$	9.02074	+	2.51063i	0.555188	+	0.154518i
$265$	−14.5862	+	0.451516i	−0.896021	+	0.0277364i
$266$	23.9518	−	14.2871i	1.46858	−	0.875996i
$267$	25.0747	−	12.7762i	1.53454	−	0.781889i
$268$	−5.19637	+	28.4006i	−0.317419	+	1.73484i
$269$	−17.8811	+	5.80994i	−1.09023	+	0.354238i	−0.798336	−	0.602212i	$-0.794286\pi$
$269$	−17.8811	+	5.80994i	−1.09023	+	0.354238i	−0.291896	+	0.956450i	$0.594286\pi$
$270$	3.28864	−	14.9436i	0.200140	−	0.909440i
$271$	2.78691	+	0.905521i	0.169293	+	0.0550065i	0.392437	−	0.919779i	$-0.371632\pi$
$271$	2.78691	+	0.905521i	0.169293	+	0.0550065i	−0.223144	+	0.974785i	$0.571632\pi$
$272$	−22.2052	−	17.8133i	−1.34639	−	1.08009i
$273$	−37.2583			−2.25498
$274$	1.70473	+	4.25874i	0.102986	+	0.257280i
$275$	7.77646	−	4.58911i	0.468938	−	0.276734i
$276$	−4.71775	−	15.7937i	−0.283975	−	0.950669i
$277$	4.74173	+	29.9381i	0.284903	+	1.79881i	0.550619	+	0.834757i	$0.314392\pi$
$277$	4.74173	+	29.9381i	0.284903	+	1.79881i	−0.265716	+	0.964051i	$0.585608\pi$
$278$	−0.0881725	−	1.32201i	−0.00528823	−	0.0792889i
$279$	1.26673	−	1.74350i	0.0758371	−	0.104381i
$280$	−5.05043	−	21.4985i	−0.301821	−	1.28478i
$281$	1.11825	−	2.19468i	0.0667089	−	0.130924i	−0.855244	−	0.518225i	$-0.826593\pi$
$281$	1.11825	−	2.19468i	0.0667089	−	0.130924i	0.921953	+	0.387302i	$0.126593\pi$
$282$	0.416147	+	0.499196i	0.0247812	+	0.0297267i
$283$	−6.90747	−	1.09404i	−0.410606	−	0.0650337i	−0.0522856	−	0.998632i	$-0.516651\pi$
$283$	−6.90747	−	1.09404i	−0.410606	−	0.0650337i	−0.358321	+	0.933599i	$0.616651\pi$
$284$	3.47923	+	2.65704i	0.206454	+	0.157667i
$285$	−2.91237	+	22.9668i	−0.172514	+	1.36044i
$286$	−11.1881	−	9.78898i	−0.661564	−	0.578834i
$287$	19.6992	+	10.5748i	1.16280	+	0.624212i
$288$	0.666533	+	1.92715i	0.0392759	+	0.113559i
$289$	−10.3981	−	32.0020i	−0.611653	−	1.88247i
$290$	−2.82331	+	7.20009i	−0.165791	+	0.422804i
$291$	2.00415	+	2.75847i	0.117485	+	0.161705i
$292$	31.9730	+	0.763832i	1.87108	+	0.0446999i
$293$	0.505839	+	1.55681i	0.0295514	+	0.0909500i	0.964744	−	0.263189i	$-0.0847741\pi$
$293$	0.505839	+	1.55681i	0.0295514	+	0.0909500i	−0.935193	+	0.354139i	$0.884774\pi$
$294$	13.0505	+	3.29847i	0.761120	+	0.192371i
$295$	−20.6964	−	6.02341i	−1.20499	−	0.350697i
$296$	−0.413986	+	0.624213i	−0.0240624	+	0.0362817i
$297$	1.36696	+	8.63064i	0.0793190	+	0.500801i
$298$	4.02296	+	17.6846i	0.233044	+	1.02444i
$299$	−4.09380	+	25.8472i	−0.236750	+	1.49478i
$300$	16.6380	+	7.69576i	0.960595	+	0.444315i
$301$	20.3363	+	20.3363i	1.17216	+	1.17216i
$302$	2.31356	−	25.4993i	0.133130	−	1.46732i
$303$	12.4514	−	6.34430i	0.715314	−	0.364471i
$304$	9.28328	+	20.5957i	0.532432	+	1.18124i
$305$	−0.675466	+	0.523436i	−0.0386771	+	0.0299719i
$306$	−0.889030	+	3.51747i	−0.0508225	+	0.201081i
$307$	9.69011	−	4.93736i	0.553044	−	0.281790i	−0.155052	−	0.987906i	$-0.549554\pi$
$307$	9.69011	−	4.93736i	0.553044	−	0.281790i	0.708096	+	0.706116i	$0.249554\pi$
$308$	7.16711	+	10.3771i	0.408384	+	0.591291i
$309$	−0.927534	−	1.82039i	−0.0527655	−	0.103558i
$310$	−12.5491	−	14.1400i	−0.712740	−	0.803096i
$311$	3.14255	−	0.497731i	0.178198	−	0.0282237i	−0.0666978	−	0.997773i	$-0.521246\pi$
$311$	3.14255	−	0.497731i	0.178198	−	0.0282237i	0.244895	+	0.969549i	$0.421246\pi$
$312$	3.44416	−	29.9833i	0.194987	−	1.69747i
$313$	−1.78042	+	1.29355i	−0.100635	+	0.0731159i	−0.636965	−	0.770893i	$-0.719810\pi$
$313$	−1.78042	+	1.29355i	−0.100635	+	0.0731159i	0.536330	+	0.844009i	$0.319810\pi$
$314$	−2.09701	−	31.4415i	−0.118341	−	1.77434i
$315$	−2.22472	+	1.72399i	−0.125349	+	0.0971360i
$316$	−0.120738	+	5.05391i	−0.00679203	+	0.284305i
$317$	14.0541	+	10.2109i	0.789356	+	0.573500i	0.907772	−	0.419464i	$-0.137782\pi$
$317$	14.0541	+	10.2109i	0.789356	+	0.573500i	−0.118416	+	0.992964i	$0.537782\pi$
$318$	14.3194	+	9.01190i	0.802991	+	0.505362i
$319$		−	4.41665i		−	0.247285i
$320$	17.7676	−	2.07697i	0.993237	−	0.116106i
$321$	3.04446	+	5.97510i	0.169925	+	0.333497i
$322$	8.74026	−	20.4080i	0.487076	−	1.13729i
$323$	−6.28777	+	39.6994i	−0.349861	+	2.20893i
$324$	−14.4056	+	13.7334i	−0.800313	+	0.762966i
$325$	−18.5304	−	22.4424i	−1.02788	−	1.24488i
$326$	−7.63184	−	3.26853i	−0.422688	−	0.181027i
$327$	−16.6870	+	16.6870i	−0.922794	+	0.922794i
$328$	−10.3310	+	14.8752i	−0.570433	+	0.821344i
$329$			0.875339i			0.0482590i
$330$	−10.4503	−	0.622917i	−0.575269	−	0.0342905i
$331$	−8.70785	−	8.70785i	−0.478627	−	0.478627i	0.426066	−	0.904692i	$-0.359899\pi$
$331$	−8.70785	−	8.70785i	−0.478627	−	0.478627i	−0.904692	+	0.426066i	$0.859899\pi$
$332$	−0.854935	−	0.0204243i	−0.0469206	−	0.00112093i
$333$	0.0942852	+	0.0149333i	0.00516680	+	0.000818341i
$334$	5.41795	+	13.5351i	0.296457	+	0.740605i
$335$	−0.998751	−	32.2645i	−0.0545676	−	1.76280i
$336$	−9.06576	+	23.9450i	−0.494578	+	1.30631i
$337$	11.2369	−	11.2369i	0.612111	−	0.612111i	−0.331384	−	0.943496i	$-0.607516\pi$
$337$	11.2369	−	11.2369i	0.612111	−	0.612111i	0.943496	+	0.331384i	$0.107516\pi$
$338$	−15.7294	+	24.9930i	−0.855565	+	1.35944i
$339$	9.34021	−	1.47934i	0.507290	−	0.0803469i
$340$	28.4597	+	14.2487i	1.54344	+	0.772747i
$341$	9.61981	+	4.90154i	0.520942	+	0.265433i
$342$	1.89590	−	2.16687i	0.102519	−	0.117171i
$343$	−3.71017	−	5.10661i	−0.200330	−	0.275731i
$344$	−18.2453	+	14.4856i	−0.983722	+	0.781009i
$345$	8.87057	+	16.1535i	0.477575	+	0.869676i
$346$	22.2579	+	9.53251i	1.19659	+	0.512471i
$347$	0.686054	−	2.11146i	0.0368293	−	0.113349i	−0.930952	−	0.365142i	$-0.881020\pi$
$347$	0.686054	−	2.11146i	0.0368293	−	0.113349i	0.967781	+	0.251793i	$0.0810203\pi$
$348$	7.37791	−	5.09566i	0.395497	−	0.273156i
$349$	1.89793	−	5.84123i	0.101594	−	0.312674i	−0.887322	−	0.461150i	$-0.847437\pi$
$349$	1.89793	−	5.84123i	0.101594	−	0.312674i	0.988916	+	0.148476i	$0.0474369\pi$
$350$	10.5757	+	22.3107i	0.565294	+	1.19256i
$351$	26.7863	−	8.70340i	1.42975	−	0.464553i
$352$	−9.01342	+	4.80841i	−0.480417	+	0.256289i
$353$	4.64927	+	9.12471i	0.247456	+	0.485659i	0.981006	−	0.193975i	$-0.0621382\pi$
$353$	4.64927	+	9.12471i	0.247456	+	0.485659i	−0.733551	+	0.679635i	$0.762138\pi$
$354$	16.0021	+	19.1956i	0.850503	+	1.02024i
$355$	−4.42769	−	2.08606i	−0.234998	−	0.110717i
$356$	−10.1825	+	28.9656i	−0.539672	+	1.53517i
$357$	−36.8541	+	26.7761i	−1.95053	+	1.41714i
$358$	−23.9629	+	5.45116i	−1.26648	+	0.288103i
$359$	24.6873	+	17.9364i	1.30295	+	0.946645i	0.999980	−	0.00635591i	$-0.00202316\pi$
$359$	24.6873	+	17.9364i	1.30295	+	0.946645i	0.302966	+	0.953001i	$0.402023\pi$
$360$	−1.18171	−	1.94969i	−0.0622818	−	0.102758i
$361$	7.58102	−	10.4344i	0.399001	−	0.549178i
$362$	−10.8881	−	18.2536i	−0.572268	−	0.959389i
$363$	−13.4919	+	4.38378i	−0.708141	+	0.230089i
$364$	29.4217	−	28.0487i	1.54211	−	1.47015i
$365$	−35.1268	+	6.68367i	−1.83862	+	0.349839i
$366$	0.988552	−	0.0659322i	0.0516725	−	0.00344633i
$367$	−10.4779	+	20.5641i	−0.546944	+	1.07344i	0.437742	+	0.899101i	$0.355778\pi$
$367$	−10.4779	+	20.5641i	−0.546944	+	1.07344i	−0.984686	+	0.174337i	$0.944222\pi$
$368$	15.6152	+	8.92016i	0.814000	+	0.464996i
$369$	2.27150	+	0.409838i	0.118250	+	0.0213353i
$370$	0.305710	−	0.779631i	0.0158931	−	0.0405311i
$371$	7.04188	+	21.6727i	0.365596	+	1.12519i
$372$	2.91085	+	21.7248i	0.150920	+	1.12638i
$373$	2.85231	−	18.0088i	0.147687	−	0.932461i	−0.796879	−	0.604139i	$-0.793517\pi$
$373$	2.85231	−	18.0088i	0.147687	−	0.932461i	0.944566	−	0.328321i	$-0.106483\pi$
$374$	−18.1016	−	1.64236i	−0.936012	−	0.0849246i
$375$	−19.9954	−	4.49916i	−1.03256	−	0.232336i
$376$	−0.704421	−	0.0809163i	−0.0363277	−	0.00417294i
$377$	−14.0603	+	2.22694i	−0.724145	+	0.114693i
$378$	−23.8407	+	1.59008i	−1.22623	+	0.0817846i
$379$	−25.5051	−	18.5305i	−1.31011	−	0.951850i	−0.999999	−	0.00114865i	$-0.999634\pi$
$379$	−25.5051	−	18.5305i	−1.31011	−	0.951850i	−0.310109	−	0.950701i	$-0.600366\pi$
$380$	−14.9900	−	20.3286i	−0.768971	−	1.04284i
$381$	−3.15937	+	19.9475i	−0.161859	+	1.02194i
$382$	3.96256	−	9.25237i	0.202742	−	0.473392i
$383$			26.4491i			1.35148i	0.737138	+	0.675742i	$0.236177\pi$
$383$			26.4491i			1.35148i	−0.737138	+	0.675742i	$0.763823\pi$
$384$	−18.4315	−	9.50906i	−0.940577	−	0.485257i
$385$	−10.2740	−	9.65708i	−0.523614	−	0.492170i
$386$	−16.1946	−	10.1921i	−0.824284	−	0.518763i
$387$	2.64547	+	1.34793i	0.134477	+	0.0685193i
$388$	−3.65924	−	0.669518i	−0.185770	−	0.0339896i
$389$	−6.91042	+	21.2681i	−0.350372	+	1.07834i	0.608272	+	0.793729i	$0.291863\pi$
$389$	−6.91042	+	21.2681i	−0.350372	+	1.07834i	−0.958644	+	0.284607i	$0.908137\pi$
$390$	3.28613	+	33.5824i	0.166400	+	1.70051i
$391$	14.5260	+	28.5088i	0.734610	+	1.44175i
$392$	−12.7887	+	7.21994i	−0.645926	+	0.364662i
$393$	−21.8478	−	15.8734i	−1.10208	−	0.800705i
$394$	0.577655	−	0.344566i	0.0291018	−	0.0173590i
$395$	−1.05648	−	5.55244i	−0.0531571	−	0.279374i
$396$	1.03475	+	0.790223i	0.0519980	+	0.0397102i
$397$	6.10301	+	18.7831i	0.306301	+	0.942698i	0.979188	+	0.202953i	$0.0650539\pi$
$397$	6.10301	+	18.7831i	0.306301	+	0.942698i	−0.672887	+	0.739745i	$0.734946\pi$
$398$	−0.958782	+	10.5674i	−0.0480594	+	0.529695i
$399$	35.7060	−	5.65528i	1.78754	−	0.283118i
$400$	−18.9320	+	6.44829i	−0.946599	+	0.322414i
$401$		−	21.3625i		−	1.06679i	−0.845865	−	0.533397i	$-0.820915\pi$
$401$		−	21.3625i		−	1.06679i	0.845865	−	0.533397i	$-0.179085\pi$
$402$	−19.9343	+	31.6744i	−0.994231	+	1.57977i
$403$	10.7535	−	33.0960i	0.535672	−	1.64863i
$404$	−5.05636	+	14.3835i	−0.251563	+	0.715606i
$405$	12.5163	−	18.3985i	0.621938	−	0.914227i
$406$	12.0274	+	1.09125i	0.596911	+	0.0541579i
$407$			0.478238i			0.0237054i
$408$	−18.1410	−	32.1332i	−0.898114	−	1.59083i
$409$		−	3.71678i		−	0.183783i	−0.995769	−	0.0918914i	$-0.970709\pi$
$409$		−	3.71678i		−	0.183783i	0.995769	−	0.0918914i	$-0.0292913\pi$
$410$	7.79406	−	18.6883i	0.384921	−	0.922949i
$411$			5.94619i			0.293304i
$412$	2.10286	+	0.739236i	0.103601	+	0.0364196i
$413$			33.6594i			1.65627i
$414$	0.207099	−	2.28257i	0.0101783	−	0.112182i
$415$	0.939267	−	0.178717i	0.0461068	−	0.00877286i
$416$	19.8522	+	26.2696i	0.973334	+	1.28798i
$417$	0.530721	−	1.63339i	0.0259895	−	0.0799876i
$418$	12.2078	+	7.68296i	0.597101	+	0.375786i
$419$		−	4.42574i		−	0.216211i	−0.994139	−	0.108106i	$-0.965522\pi$
$419$		−	4.42574i		−	0.216211i	0.994139	−	0.108106i	$-0.0344785\pi$
$420$	4.27835	−	28.3043i	0.208762	−	1.38111i
$421$	19.7068	−	3.12125i	0.960451	−	0.152121i	0.343527	−	0.939143i	$-0.388378\pi$
$421$	19.7068	−	3.12125i	0.960451	−	0.152121i	0.616924	+	0.787022i	$0.288378\pi$
$422$	23.4609	+	2.12861i	1.14206	+	0.103619i
$423$	0.0279250	+	0.0859443i	0.00135776	+	0.00417876i
$424$	−18.0919	+	3.66347i	−0.878618	+	0.177914i
$425$	−34.4578	−	8.88183i	−1.67145	−	0.430832i
$426$	2.90700	+	4.87350i	0.140845	+	0.236122i
$427$	1.07956	+	0.784348i	0.0522437	+	0.0379573i
$428$	−6.90227	−	2.42641i	−0.333634	−	0.117285i
$429$	−8.74833	−	17.1696i	−0.422373	−	0.828954i
$430$	16.5363	−	20.1235i	0.797449	−	0.970443i
$431$	3.85606	−	11.8677i	0.185740	−	0.571648i	−0.814220	−	0.580556i	$-0.802835\pi$
$431$	3.85606	−	11.8677i	0.185740	−	0.571648i	0.999960	+	0.00890729i	$0.00283532\pi$
$432$	0.924237	−	19.3326i	0.0444674	−	0.930140i
$433$	24.4590	+	12.4625i	1.17543	+	0.598909i	0.928937	−	0.370237i	$-0.120723\pi$
$433$	24.4590	+	12.4625i	1.17543	+	0.598909i	0.246488	+	0.969146i	$0.420723\pi$
$434$	−15.7247	+	24.9856i	−0.754810	+	1.19935i
$435$	−6.86597	+	7.30462i	−0.329198	+	0.350230i
$436$	0.614915	−	25.7395i	0.0294491	−	1.23270i
$437$		−	25.3917i		−	1.21465i
$438$	38.1086	+	16.3210i	1.82090	+	0.779846i
$439$	2.64801	−	16.7189i	0.126383	−	0.797949i	−0.840328	−	0.542078i	$-0.817638\pi$
$439$	2.64801	−	16.7189i	0.126383	−	0.797949i	0.966711	−	0.255871i	$-0.0823623\pi$
$440$	8.72118	−	7.37525i	0.415766	−	0.351601i
$441$	1.51423	+	1.10015i	0.0721063	+	0.0523883i
$442$	3.89866	+	58.4544i	0.185440	+	2.78039i
$443$	20.4362	−	3.23678i	0.970955	−	0.153784i	0.349245	−	0.937032i	$-0.386438\pi$
$443$	20.4362	−	3.23678i	0.970955	−	0.153784i	0.621710	+	0.783247i	$0.286438\pi$
$444$	−0.798885	+	0.551762i	−0.0379134	+	0.0261854i
$445$	4.31837	−	34.0545i	0.204711	−	1.61434i
$446$	0.349739	−	3.85472i	0.0165606	−	0.182526i
$447$	−3.67765	+	23.2198i	−0.173947	+	1.09826i
$448$	−10.8673	−	25.7334i	−0.513430	−	1.21579i
$449$	1.16583	+	3.58805i	0.0550189	+	0.169331i	0.974790	−	0.223125i	$-0.0716257\pi$
$449$	1.16583	+	3.58805i	0.0550189	+	0.169331i	−0.919771	+	0.392455i	$0.871626\pi$
$450$	1.75012	+	1.85317i	0.0825014	+	0.0873594i
$451$	−0.247739	+	11.5608i	−0.0116656	+	0.544379i
$452$	−6.26198	+	8.19966i	−0.294539	+	0.385679i
$453$	15.0675	−	29.5716i	0.707932	−	1.38939i
$454$	1.66590	+	24.9776i	0.0781846	+	1.17226i
$455$	−25.5629	+	37.5765i	−1.19841	+	1.76162i
$456$	1.25037	+	29.2569i	0.0585540	+	1.37008i
$457$	23.6554	−	7.68610i	1.10655	−	0.359541i	0.301932	−	0.953330i	$-0.402369\pi$
$457$	23.6554	−	7.68610i	1.10655	−	0.359541i	0.804621	+	0.593789i	$0.202369\pi$
$458$	5.37721	−	3.20746i	0.251260	−	0.149875i
$459$	20.2409	−	27.8592i	0.944764	−	1.30036i
$460$	−19.1654	−	6.07798i	−0.893593	−	0.283387i
$461$	−19.2313	−	13.9724i	−0.895693	−	0.650759i	0.0416630	−	0.999132i	$-0.486734\pi$
$461$	−19.2313	−	13.9724i	−0.895693	−	0.650759i	−0.937356	+	0.348373i	$0.886734\pi$
$462$	3.62617	+	15.9404i	0.168705	+	0.741614i
$463$	6.57466	−	4.77677i	0.305550	−	0.221995i	−0.424435	−	0.905459i	$-0.639527\pi$
$463$	6.57466	−	4.77677i	0.305550	−	0.221995i	0.729985	+	0.683463i	$0.239527\pi$
$464$	−1.98999	+	9.57809i	−0.0923829	+	0.444651i
$465$	−8.29028	−	23.0612i	−0.384453	−	1.06944i
$466$	−17.9490	+	14.9629i	−0.831472	+	0.693143i
$467$	−3.15536	−	6.19273i	−0.146012	−	0.286566i	0.806404	−	0.591365i	$-0.201411\pi$
$467$	−3.15536	−	6.19273i	−0.146012	−	0.286566i	−0.952417	+	0.304799i	$0.901411\pi$
$468$	1.99393	−	3.69255i	0.0921695	−	0.170688i
$469$	−47.9399	+	15.5766i	−2.21366	+	0.719261i
$470$	0.788977	−	0.0772037i	0.0363928	−	0.00356114i
$471$	12.6222	−	38.8471i	0.581599	−	1.78998i
$472$	−27.0871	−	3.11148i	−1.24679	−	0.143217i
$473$	−4.59646	+	14.1465i	−0.211346	+	0.650455i
$474$	−2.57983	+	6.02376i	−0.118495	+	0.276680i
$475$	21.1648	+	18.6947i	0.971107	+	0.857772i
$476$	8.94498	−	48.8886i	0.409992	−	2.24080i
$477$	1.38280	+	1.90326i	0.0633142	+	0.0871445i
$478$	15.5939	+	13.6439i	0.713250	+	0.624058i
$479$	−3.40813	−	1.73653i	−0.155721	−	0.0793441i	0.374393	−	0.927270i	$-0.377851\pi$
$479$	−3.40813	−	1.73653i	−0.155721	−	0.0793441i	−0.530115	+	0.847926i	$0.677851\pi$
$480$	22.3821	+	6.05941i	1.02160	+	0.276573i
$481$	1.52246	−	0.241135i	0.0694184	−	0.0109948i
$482$	4.89181	+	3.07866i	0.222816	+	0.140229i
$483$	20.3489	−	20.3489i	0.925907	−	0.925907i
$484$	7.35392	−	13.6187i	0.334269	−	0.619030i
$485$	4.15707	−	0.128683i	0.188763	−	0.00584318i
$486$	−4.89286	+	1.95856i	−0.221945	+	0.0888422i
$487$	11.7985	+	1.86870i	0.534640	+	0.0846787i	0.417916	−	0.908486i	$-0.362761\pi$
$487$	11.7985	+	1.86870i	0.534640	+	0.0846787i	0.116724	+	0.993164i	$0.462761\pi$
$488$	−0.730992	+	0.796263i	−0.0330905	+	0.0360452i
$489$	−7.60973	−	7.60973i	−0.344124	−	0.344124i
$490$	12.2805	−	10.8989i	0.554779	−	0.492361i
$491$		−	20.0629i		−	0.905428i	−0.891656	−	0.452714i	$-0.850456\pi$
$491$		−	20.0629i		−	0.905428i	0.891656	−	0.452714i	$-0.149544\pi$
$492$	−19.5979	+	12.9244i	−0.883543	+	0.582675i
$493$	−12.3074	+	12.3074i	−0.554297	+	0.554297i
$494$	18.3033	−	42.7371i	0.823503	−	1.92283i
$495$	−1.31683	−	0.620409i	−0.0591870	−	0.0278853i
$496$	−18.6534	−	14.9640i	−0.837561	−	0.671903i
$497$	−1.19563	+	7.54893i	−0.0536315	+	0.338616i
$498$	−1.01900	−	0.436411i	−0.0456623	−	0.0195561i
$499$	11.2176	+	22.0158i	0.502169	+	0.985562i	0.993418	+	0.114543i	$0.0365403\pi$
$499$	11.2176	+	22.0158i	0.502169	+	0.985562i	−0.491250	+	0.871019i	$0.663460\pi$
$500$	19.1768	−	11.5001i	0.857611	−	0.514298i
$501$			18.8981i			0.844304i
$502$	18.7571	−	29.8040i	0.837172	−	1.33022i
$503$	−2.37030	−	1.72212i	−0.105686	−	0.0767857i	0.533687	−	0.845682i	$-0.320806\pi$
$503$	−2.37030	−	1.72212i	−0.105686	−	0.0767857i	−0.639373	+	0.768896i	$0.720806\pi$
$504$	−2.40760	+	2.62258i	−0.107243	+	0.116819i
$505$	2.14439	−	16.9106i	0.0954240	−	0.752510i
$506$	11.4568	−	0.764117i	0.509315	−	0.0339691i
$507$	−30.9683	+	22.4998i	−1.37535	+	0.999251i
$508$	−12.5219	−	18.1303i	−0.555571	−	0.804401i
$509$	34.0352	−	5.39065i	1.50859	−	0.238937i	0.653302	−	0.757097i	$-0.273383\pi$
$509$	34.0352	−	5.39065i	1.50859	−	0.238937i	0.855283	+	0.518161i	$0.173383\pi$
$510$	27.3848	+	30.8564i	1.21262	+	1.36635i
$511$	25.3493	+	49.7508i	1.12139	+	2.20085i
$512$	21.7133	−	6.36653i	0.959601	−	0.281364i
$513$	−24.3493	+	12.4066i	−1.07505	+	0.547763i
$514$	6.80827	+	1.72077i	0.300300	+	0.0758998i
$515$	−2.47231	−	0.313508i	−0.108943	−	0.0138148i
$516$	−28.9345	+	8.64304i	−1.27377	+	0.380489i
$517$	−0.403378	+	0.205531i	−0.0177405	+	0.00903925i
$518$	−1.30234	−	0.118161i	−0.0572215	−	0.00519172i
$519$	22.1934	+	22.1934i	0.974183	+	0.974183i
$520$	−27.8764	−	24.0451i	−1.22246	−	1.05445i
$521$	−3.16970	+	20.0127i	−0.138867	+	0.876773i	0.815635	+	0.578567i	$0.196388\pi$
$521$	−3.16970	+	20.0127i	−0.138867	+	0.876773i	−0.954502	+	0.298205i	$0.903612\pi$
$522$	1.21571	−	0.276555i	0.0532104	−	0.0121045i
$523$	−3.41609	−	21.5684i	−0.149375	−	0.943119i	−0.942536	−	0.334106i	$-0.891566\pi$
$523$	−3.41609	−	21.5684i	−0.149375	−	0.943119i	0.793160	−	0.609013i	$-0.208434\pi$
$524$	29.2022	−	3.91274i	1.27571	−	0.170929i
$525$	1.97952	+	31.9434i	0.0863932	+	1.39412i
$526$	−8.41766	+	33.3047i	−0.367027	+	1.45215i
$527$	−13.1479	−	40.4650i	−0.572731	−	1.76268i
$528$	−13.1631	+	1.44460i	−0.572850	+	0.0628682i
$529$	1.63828	+	2.25490i	0.0712297	+	0.0980393i
$530$	18.9134	−	8.25863i	0.821544	−	0.358732i
$531$	1.07380	+	3.30482i	0.0465990	+	0.143417i
$532$	−23.9385	+	31.3459i	−1.03787	+	1.35902i
$533$	36.9287	−	5.04048i	1.59956	−	0.218327i
$534$	−26.2068	+	29.9524i	−1.13408	+	1.29617i
$535$	8.11493	+	1.02903i	0.350839	+	0.0444890i
$536$	−8.10357	−	40.0191i	−0.350021	−	1.72856i
$537$	−31.4630	−	4.98325i	−1.35773	−	0.215043i
$538$	20.4233	−	17.0256i	0.880512	−	0.734024i
$539$	−4.25698	+	8.35480i	−0.183361	+	0.359867i
$540$	3.53592	+	21.3483i	0.152162	+	0.918686i
$541$	11.5734	−	15.9294i	0.497579	−	0.684859i	−0.484184	−	0.874966i	$-0.660883\pi$
$541$	11.5734	−	15.9294i	0.497579	−	0.684859i	0.981763	+	0.190107i	$0.0608835\pi$
$542$	−4.13492	+	0.275782i	−0.177610	+	0.0118458i
$543$	−4.30988	−	27.2115i	−0.184955	−	1.16776i
$544$	38.5157	+	11.7176i	1.65135	+	0.502390i
$545$	5.38061	+	28.2785i	0.230480	+	1.21132i
$546$	48.9177	−	19.5813i	2.09348	−	0.838001i
$547$	−17.8977			−0.765251			−0.382625	−	0.923904i	$-0.624980\pi$
$547$	−17.8977			−0.765251			−0.382625	+	0.923904i	$0.624980\pi$
$548$	−4.47639	−	4.69551i	−0.191222	−	0.200582i
$549$	0.131018	+	0.0425704i	0.00559172	+	0.00181686i
$550$	−7.79814	+	10.1121i	−0.332514	+	0.431183i
$551$	13.1365	−	4.26832i	0.559635	−	0.181837i
$552$	14.4945	+	18.2566i	0.616929	+	0.777054i
$553$	−7.86403	+	4.00692i	−0.334412	+	0.170392i
$554$	−21.9597	−	36.8147i	−0.932978	−	1.56411i
$555$	0.743452	−	0.790950i	0.0315578	−	0.0335739i
$556$	0.810552	+	1.68937i	0.0343751	+	0.0716453i
$557$	19.5359	−	26.8888i	0.827762	−	1.13932i	−0.160574	−	0.987024i	$-0.551334\pi$
$557$	19.5359	−	26.8888i	0.827762	−	1.13932i	0.988335	−	0.152293i	$-0.0486656\pi$
$558$	−0.746826	+	2.95484i	−0.0316157	+	0.125088i
$559$	47.3527	+	7.49993i	2.00281	+	0.317213i
$560$	17.9295	+	25.5718i	0.757659	+	1.08060i
$561$	−20.9925	−	10.6962i	−0.886303	−	0.451594i
$562$	−0.314758	+	3.46917i	−0.0132773	+	0.146338i
$563$	−22.7659	−	16.5404i	−0.959467	−	0.697094i	−0.00644034	−	0.999979i	$-0.502050\pi$
$563$	−22.7659	−	16.5404i	−0.959467	−	0.697094i	−0.953027	+	0.302885i	$0.902050\pi$
$564$	−0.808728	−	0.436704i	−0.0340536	−	0.0183885i
$565$	4.91632	−	10.4350i	0.206831	−	0.439002i
$566$	9.64402	−	2.19385i	0.405368	−	0.0922145i
$567$	−33.0474	−	10.7377i	−1.38786	−	0.450943i
$568$	−5.96441	−	1.66000i	−0.250261	−	0.0696520i
$569$	−29.0354	+	21.0955i	−1.21723	+	0.884368i	−0.995867	−	0.0908234i	$-0.971050\pi$
$569$	−29.0354	+	21.0955i	−1.21723	+	0.884368i	−0.221362	+	0.975192i	$0.571050\pi$
$570$	−8.24655	−	31.6845i	−0.345410	−	1.32712i
$571$	−23.4461	−	23.4461i	−0.981189	−	0.981189i	0.0186378	−	0.999826i	$-0.494067\pi$
$571$	−23.4461	−	23.4461i	−0.981189	−	0.981189i	−0.999826	+	0.0186378i	$0.994067\pi$
$572$	19.8338	+	6.97234i	0.829293	+	0.291528i
$573$	9.22556	−	9.22556i	0.385403	−	0.385403i
$574$	−31.4213	−	3.53106i	−1.31150	−	0.147384i
$575$	22.3776	+	2.13656i	0.933208	+	0.0891006i
$576$	−1.88794	−	2.17992i	−0.0786641	−	0.0908302i
$577$	18.8675			0.785466			0.392733	−	0.919653i	$-0.371530\pi$
$577$	18.8675			0.785466			0.392733	+	0.919653i	$0.371530\pi$
$578$	30.4708	+	36.5518i	1.26742	+	1.52035i
$579$	−14.5791	−	20.0664i	−0.605886	−	0.833931i
$580$	−0.0772145	−	10.9370i	−0.00320616	−	0.454136i
$581$	−0.677822	−	1.33030i	−0.0281208	−	0.0551902i
$582$	−4.08104	−	2.56840i	−0.169165	−	0.106464i
$583$	−8.33387	+	8.33387i	−0.345153	+	0.345153i
$584$	−42.3798	+	15.8007i	−1.75369	+	0.653836i
$585$	−1.31110	+	4.50492i	−0.0542074	+	0.186256i
$586$	−1.48232	−	1.77815i	−0.0612342	−	0.0734545i
$587$	39.4875	−	12.8303i	1.62982	−	0.529561i	0.655592	−	0.755116i	$-0.272419\pi$
$587$	39.4875	−	12.8303i	1.62982	−	0.529561i	0.974231	+	0.225554i	$0.0724193\pi$
$588$	−18.8679	+	2.52807i	−0.778101	+	0.104256i
$589$	−5.28202	+	33.3493i	−0.217642	+	1.37414i
$590$	30.3386	−	2.96872i	1.24902	−	0.122220i
$591$	0.861137	−	0.136391i	0.0354224	−	0.00561036i
$592$	0.215477	−	1.03712i	0.00885607	−	0.0426255i
$593$	8.81061	−	27.1163i	0.361808	−	1.11353i	−0.590147	−	0.807295i	$-0.700930\pi$
$593$	8.81061	−	27.1163i	0.361808	−	1.11353i	0.951956	−	0.306236i	$-0.0990696\pi$
$594$	−6.33060	−	10.6130i	−0.259747	−	0.435459i
$595$	1.71924	+	55.5398i	0.0704820	+	2.27691i
$596$	−14.5761	−	21.1045i	−0.597061	−	0.864473i
$597$	−6.24425	+	12.2550i	−0.255560	+	0.501565i
$598$	−8.20922	−	36.0872i	−0.335700	−	1.47571i
$599$	1.44408	−	4.44442i	0.0590036	−	0.181594i	−0.917211	−	0.398403i	$-0.869565\pi$
$599$	1.44408	−	4.44442i	0.0590036	−	0.181594i	0.976214	+	0.216808i	$0.0695647\pi$
$600$	−25.8891	−	1.35984i	−1.05692	−	0.0555154i
$601$	−9.63733	−	9.63733i	−0.393115	−	0.393115i	0.482681	−	0.875796i	$-0.339663\pi$
$601$	−9.63733	−	9.63733i	−0.393115	−	0.393115i	−0.875796	+	0.482681i	$0.839663\pi$
$602$	−37.3880	−	16.0124i	−1.52382	−	0.652615i
$603$	−4.21001	+	3.05875i	−0.171445	+	0.124562i
$604$	10.3637	+	34.6947i	0.421693	+	1.41171i
$605$	−4.83554	+	16.6148i	−0.196593	+	0.675489i
$606$	−13.0136	+	14.8735i	−0.528640	+	0.604196i
$607$	4.44548	+	28.0676i	0.180436	+	1.13923i	0.897105	+	0.441817i	$0.145666\pi$
$607$	4.44548	+	28.0676i	0.180436	+	1.13923i	−0.716669	+	0.697413i	$0.754334\pi$
$608$	−23.0125	−	22.1619i	−0.933279	−	0.898784i
$609$	13.9482	+	7.10698i	0.565211	+	0.287989i
$610$	0.611748	−	1.04223i	0.0247690	−	0.0421987i
$611$	0.857695	+	1.18052i	0.0346986	+	0.0477586i
$612$	−0.681385	−	5.08544i	−0.0275434	−	0.205567i
$613$	7.62943	−	14.9736i	0.308150	−	0.604778i	−0.684050	−	0.729435i	$-0.739783\pi$
$613$	7.62943	−	14.9736i	0.308150	−	0.604778i	0.992200	+	0.124657i	$0.0397831\pi$
$614$	−10.1276	+	11.5751i	−0.408717	+	0.467133i
$615$	18.3818	−	18.7352i	0.741227	−	0.755475i
$616$	−14.8637	−	9.85776i	−0.598874	−	0.397180i
$617$	24.8936	+	12.6839i	1.00218	+	0.510636i	0.876483	−	0.481433i	$-0.159884\pi$
$617$	24.8936	+	12.6839i	1.00218	+	0.510636i	0.125696	+	0.992069i	$0.459884\pi$
$618$	2.17450	+	1.90258i	0.0874713	+	0.0765329i
$619$	−22.8939	+	16.6334i	−0.920185	+	0.668553i	−0.943570	−	0.331173i	$-0.892556\pi$
$619$	−22.8939	+	16.6334i	−0.920185	+	0.668553i	0.0233854	+	0.999727i	$0.492556\pi$
$620$	23.9074	+	11.9696i	0.960145	+	0.480711i
$621$	−9.87611	+	19.3830i	−0.396315	+	0.777811i
$622$	−3.86437	+	2.30507i	−0.154947	+	0.0924248i
$623$	−52.9439	+	8.38549i	−2.12115	+	0.335958i
$624$	11.2359	+	41.1762i	0.449796	+	1.64837i
$625$	−18.2564	+	17.0793i	−0.730256	+	0.683173i
$626$	1.65774	−	2.63405i	0.0662567	−	0.105278i
$627$	10.9899	+	15.1264i	0.438896	+	0.604089i
$628$	19.2774	+	40.1785i	0.769253	+	1.60329i
$629$	1.33265	−	1.33265i	0.0531363	−	0.0531363i
$630$	2.01486	−	3.43270i	0.0802738	−	0.136762i
$631$	−10.5638	−	3.43239i	−0.420539	−	0.136641i	0.0911003	−	0.995842i	$-0.470962\pi$
$631$	−10.5638	−	3.43239i	−0.420539	−	0.136641i	−0.511639	+	0.859200i	$0.670962\pi$
$632$	−2.49758	−	6.69890i	−0.0993485	−	0.266468i
$633$	27.2077	+	13.8630i	1.08141	+	0.551004i
$634$	−23.8184	−	6.02003i	−0.945951	−	0.239086i
$635$	17.9502	+	16.8723i	0.712331	+	0.669555i
$636$	−23.5366	−	4.30642i	−0.933288	−	0.170761i
$637$	28.7438	+	9.33944i	1.13887	+	0.370042i
$638$	2.32119	+	5.79876i	0.0918967	+	0.229575i
$639$	0.123433	+	0.779328i	0.00488295	+	0.0308298i
$640$	−22.2361	+	12.0647i	−0.878957	+	0.476900i
$641$	−30.7397	−	4.86869i	−1.21414	−	0.192302i	−0.483675	−	0.875248i	$-0.660698\pi$
$641$	−30.7397	−	4.86869i	−1.21414	−	0.192302i	−0.730469	+	0.682946i	$0.760698\pi$
$642$	−7.13741	−	6.24487i	−0.281691	−	0.246465i
$643$	−2.90054	−	8.92695i	−0.114386	−	0.352044i	0.877432	−	0.479700i	$-0.159255\pi$
$643$	−2.90054	−	8.92695i	−0.114386	−	0.352044i	−0.991819	+	0.127656i	$0.959255\pi$
$644$	−0.749854	+	31.3879i	−0.0295484	+	1.23685i
$645$	29.5936	−	16.2511i	1.16525	−	0.639886i
$646$	−12.6088	−	55.4272i	−0.496085	−	2.18076i
$647$	−23.7150	−	23.7150i	−0.932333	−	0.932333i	0.0655181	−	0.997851i	$-0.479130\pi$
$647$	−23.7150	−	23.7150i	−0.932333	−	0.932333i	−0.997851	+	0.0655181i	$0.979130\pi$
$648$	11.6960	−	25.6020i	0.459462	−	1.00574i
$649$	−15.5111	+	7.90330i	−0.608864	+	0.310232i
$650$	36.1238	+	19.7266i	1.41689	+	0.773741i
$651$	−30.9591	+	22.4931i	−1.21338	+	0.881575i
$652$	11.7379	+	0.280417i	0.459691	+	0.0109820i
$653$			18.3622i			0.718568i	0.933228	+	0.359284i	$0.116979\pi$
$653$			18.3622i			0.718568i	−0.933228	+	0.359284i	$0.883021\pi$
$654$	13.1390	−	30.6789i	0.513776	−	1.19964i
$655$	−30.9987	+	11.1437i	−1.21122	+	0.435421i
$656$	5.74617	−	24.9596i	0.224350	−	0.974509i
$657$	4.07604	+	4.07604i	0.159022	+	0.159022i
$658$	−0.460038	−	1.14926i	−0.0179341	−	0.0448029i
$659$	14.5947	−	14.5947i	0.568528	−	0.568528i	−0.363188	−	0.931716i	$-0.618312\pi$
$659$	14.5947	−	14.5947i	0.568528	−	0.568528i	0.931716	+	0.363188i	$0.118312\pi$
$660$	14.0479	−	4.67433i	0.546813	−	0.181948i
$661$	13.9041	+	19.1374i	0.540808	+	0.744358i	0.988729	−	0.149715i	$-0.0478355\pi$
$661$	13.9041	+	19.1374i	0.540808	+	0.744358i	−0.447921	+	0.894073i	$0.647836\pi$
$662$	16.0093	+	6.85638i	0.622218	+	0.266481i
$663$	−23.4665	+	72.2225i	−0.911364	+	2.80489i
$664$	1.13321	−	0.422498i	0.0439769	−	0.0163961i
$665$	18.7943	−	39.8911i	0.728810	−	1.54691i
$666$	−0.131638	+	0.0299455i	−0.00510089	+	0.00116037i
$667$	6.46290	−	8.89541i	0.250244	−	0.344432i
$668$	−14.2268	−	14.9232i	−0.550451	−	0.577396i
$669$	2.27774	−	4.47032i	0.0880626	−	0.172833i
$670$	18.2680	+	41.8362i	0.705756	+	1.61628i
$671$	−0.107964	+	0.681656i	−0.00416789	+	0.0263150i
$672$	−0.681643	−	36.2027i	−0.0262949	−	1.39655i
$673$	13.3219	+	9.67896i	0.513523	+	0.373097i	0.814159	−	0.580643i	$-0.197199\pi$
$673$	13.3219	+	9.67896i	0.513523	+	0.373097i	−0.300635	+	0.953739i	$0.597199\pi$
$674$	−8.84768	+	20.6588i	−0.340800	+	0.795749i
$675$	−8.88498	−	22.5028i	−0.341983	−	0.866132i
$676$	7.51642	−	41.0808i	0.289093	−	1.58003i
$677$	−0.0644541	−	0.126498i	−0.00247717	−	0.00486172i	0.889765	−	0.456420i	$-0.150868\pi$
$677$	−0.0644541	−	0.126498i	−0.00247717	−	0.00486172i	−0.892242	+	0.451558i	$0.850868\pi$
$678$	−11.4856	+	6.85106i	−0.441101	+	0.263113i
$679$	−2.00695	−	6.17674i	−0.0770195	−	0.237042i
$680$	−44.8541	−	3.75056i	−1.72008	−	0.143827i
$681$	−10.0273	+	30.8607i	−0.384246	+	1.18259i
$682$	−15.2062	−	1.37966i	−0.582275	−	0.0528300i
$683$		−	30.2820i		−	1.15871i	−0.815075	−	0.579355i	$-0.803304\pi$
$683$		−	30.2820i		−	1.15871i	0.815075	−	0.579355i	$-0.196696\pi$
$684$	−1.35038	+	3.84135i	−0.0516332	+	0.146878i
$685$	5.99697	+	4.07966i	0.229132	+	0.155876i
$686$	7.55500	+	4.75474i	0.288451	+	0.181537i
$687$	8.01605	−	1.26962i	0.305831	−	0.0484389i
$688$	16.3420	−	28.6075i	0.623031	−	1.09065i
$689$	30.7328	+	22.3287i	1.17083	+	0.850656i
$690$	−20.1360	−	16.5465i	−0.766565	−	0.629915i
$691$	−32.5585	−	16.5894i	−1.23858	−	0.631089i	−0.292888	−	0.956147i	$-0.594616\pi$
$691$	−32.5585	−	16.5894i	−1.23858	−	0.631089i	−0.945694	+	0.325058i	$0.894616\pi$
$692$	−34.2330	−	0.817824i	−1.30134	−	0.0310890i
$693$	−0.355590	+	2.24511i	−0.0135077	+	0.0852845i
$694$	0.208942	+	3.13276i	0.00793133	+	0.118918i
$695$	−1.28322	−	1.65592i	−0.0486751	−	0.0628126i
$696$	−7.00865	+	10.5677i	−0.265662	+	0.400569i
$697$	32.9057	−	31.5250i	1.24639	−	1.19409i
$698$	0.578026	+	8.66661i	0.0218786	+	0.328036i
$699$	−28.8078	+	9.36022i	−1.08961	+	0.354036i
$700$	−25.6107	−	23.7344i	−0.967992	−	0.897076i
$701$	13.8279	−	10.0466i	0.522274	−	0.379455i	−0.295186	−	0.955440i	$-0.595381\pi$
$701$	13.8279	−	10.0466i	0.522274	−	0.379455i	0.817460	+	0.575985i	$0.195381\pi$
$702$	−30.5945	+	25.5046i	−1.15472	+	0.962610i
$703$	−1.42243	+	0.462177i	−0.0536481	+	0.0174313i
$704$	9.30694	−	11.0502i	0.350769	−	0.416468i
$705$	0.986652	+	0.287152i	0.0371594	+	0.0108148i
$706$	−10.8997	−	9.53669i	−0.410216	−	0.358918i
$707$	−26.2905	+	4.16401i	−0.988757	+	0.156604i
$708$	−31.0980	−	16.7926i	−1.16874	−	0.631104i
$709$	−31.7974	−	5.03622i	−1.19418	−	0.189139i	−0.472476	−	0.881343i	$-0.656640\pi$
$709$	−31.7974	−	5.03622i	−1.19418	−	0.189139i	−0.721702	+	0.692204i	$0.756640\pi$
$710$	6.90960	+	0.411866i	0.259313	+	0.0154571i
$711$	−0.644294	+	0.644294i	−0.0241629	+	0.0241629i
$712$	−1.85402	−	43.3813i	−0.0694822	−	1.62578i
$713$	12.2025	+	23.9487i	0.456986	+	0.896886i
$714$	34.3147	−	54.5240i	1.28419	−	2.04051i
$715$	−23.3184	−	2.95695i	−0.872059	−	0.110584i
$716$	28.5968	−	19.7508i	1.06871	−	0.738122i
$717$	12.1934	+	23.9310i	0.455372	+	0.893719i
$718$	−41.8393	−	10.5747i	−1.56143	−	0.394646i
$719$	−7.50369	+	3.82332i	−0.279840	+	0.142586i	−0.588278	−	0.808659i	$-0.700194\pi$
$719$	−7.50369	+	3.82332i	−0.279840	+	0.142586i	0.308438	+	0.951245i	$0.400194\pi$
$720$	2.57618	+	1.93876i	0.0960085	+	0.0722532i
$721$	0.608776	+	3.84366i	0.0226720	+	0.143145i
$722$	−4.46954	+	17.6839i	−0.166339	+	0.658126i
$723$	4.40382	+	6.06134i	0.163780	+	0.225423i
$724$	23.8886	+	18.2435i	0.887815	+	0.678013i
$725$	2.65628	+	11.9363i	0.0986518	+	0.443303i
$726$	15.4100	−	12.8463i	0.571920	−	0.476772i
$727$	−7.69722	+	10.5943i	−0.285474	+	0.392922i	−0.927537	−	0.373730i	$-0.878079\pi$
$727$	−7.69722	+	10.5943i	−0.285474	+	0.392922i	0.642063	+	0.766652i	$0.278079\pi$
$728$	−23.8876	+	52.2888i	−0.885332	+	1.93795i
$729$	23.0229			0.852700
$730$	42.6066	−	27.2363i	1.57694	−	1.00806i
$731$	52.2288	−	26.6119i	1.93175	−	0.984277i
$732$	−1.26325	+	0.606102i	−0.0466911	+	0.0224022i
$733$	−11.5323	−	1.82653i	−0.425953	−	0.0674644i	−0.0602224	−	0.998185i	$-0.519181\pi$
$733$	−11.5323	−	1.82653i	−0.425953	−	0.0674644i	−0.365731	+	0.930721i	$0.619181\pi$
$734$	2.94928	−	32.5060i	0.108860	−	1.19982i
$735$	20.0286	−	7.20010i	0.738767	−	0.265580i
$736$	−25.1898	−	3.50493i	−0.928507	−	0.129193i
$737$	−18.4345	−	18.4345i	−0.679042	−	0.679042i
$738$	−3.19772	+	0.655707i	−0.117710	+	0.0241369i
$739$	44.4781			1.63615			0.818076	−	0.575110i	$-0.195041\pi$
$739$	44.4781			1.63615			0.818076	+	0.575110i	$0.195041\pi$
$740$	0.00836085	+	1.18427i	0.000307351	+	0.0435346i
$741$	42.6133	−	42.6133i	1.56544	−	1.56544i
$742$	−20.6357	−	24.7539i	−0.757560	−	0.908744i
$743$	1.75027	−	11.0508i	0.0642113	−	0.405414i	−0.934558	−	0.355812i	$-0.884205\pi$
$743$	1.75027	−	11.0508i	0.0642113	−	0.405414i	0.998769	−	0.0496026i	$-0.0157955\pi$
$744$	−15.2393	−	26.9933i	−0.558699	−	0.989624i
$745$	20.8948	+	19.6401i	0.765528	+	0.719557i
$746$	5.71970	+	25.1434i	0.209413	+	0.920565i
$747$	−0.108991	−	0.108991i	−0.00398776	−	0.00398776i
$748$	24.6294	−	7.35706i	0.900538	−	0.269001i
$749$	−1.99820	−	12.6161i	−0.0730125	−	0.460983i
$750$	28.6172	−	4.60158i	1.04495	−	0.168026i
$751$	2.99731	−	5.88255i	0.109373	−	0.214657i	−0.829832	−	0.558013i	$-0.811564\pi$
$751$	2.99731	−	5.88255i	0.109373	−	0.214657i	0.939205	+	0.343356i	$0.111564\pi$
$752$	0.967383	−	0.263974i	0.0352768	−	0.00962613i
$753$	36.9294	−	26.8308i	1.34578	−	0.977769i
$754$	17.2899	−	10.3133i	0.629662	−	0.375588i
$755$	−19.4864	−	35.4851i	−0.709182	−	1.29144i
$756$	30.4656	−	14.6173i	1.10802	−	0.531624i
$757$	−38.7424	−	12.5882i	−1.40812	−	0.457525i	−0.496310	−	0.868146i	$-0.665312\pi$
$757$	−38.7424	−	12.5882i	−1.40812	−	0.457525i	−0.911806	+	0.410621i	$0.865312\pi$
$758$	43.2253	+	10.9250i	1.57001	+	0.396816i
$759$	14.1552	+	4.59932i	0.513803	+	0.166945i
$760$	30.3646	+	18.8120i	1.10144	+	0.682384i
$761$	−6.00726	−	18.4884i	−0.217763	−	0.670205i	−0.998946	−	0.0459032i	$-0.985383\pi$
$761$	−6.00726	−	18.4884i	−0.217763	−	0.670205i	0.781183	−	0.624302i	$-0.214617\pi$
$762$	−6.33543	−	27.8501i	−0.229508	−	1.00890i
$763$	40.0513	−	20.4072i	1.44995	−	0.738789i
$764$	−0.339961	+	14.2303i	−0.0122993	+	0.514834i
$765$	1.94063	+	5.39828i	0.0701637	+	0.195175i
$766$	−13.9004	−	34.7259i	−0.502243	−	1.25470i
$767$	32.9810	+	45.3944i	1.19087	+	1.63910i
$768$	29.1968	+	2.79803i	1.05355	+	0.100965i
$769$	−8.04878	+	11.0782i	−0.290247	+	0.399490i	−0.929094	−	0.369843i	$-0.879411\pi$
$769$	−8.04878	+	11.0782i	−0.290247	+	0.399490i	0.638848	+	0.769333i	$0.279411\pi$
$770$	18.5644	+	7.27953i	0.669016	+	0.262336i
$771$	7.36422	+	5.35042i	0.265216	+	0.192691i
$772$	26.6189	+	4.87038i	0.958037	+	0.175289i
$773$	−8.83157	−	27.1808i	−0.317650	−	0.977625i	−0.974650	−	0.223735i	$-0.928175\pi$
$773$	−8.83157	−	27.1808i	−0.317650	−	0.977625i	0.657001	−	0.753890i	$-0.271825\pi$
$774$	−4.18173	−	0.379410i	−0.150309	−	0.0136376i
$775$	−28.9461	−	7.46115i	−1.03977	−	0.268012i
$776$	5.15620	−	1.04409i	0.185097	−	0.0374808i
$777$	−1.51032	−	0.769549i	−0.0541826	−	0.0276074i
$778$	−2.10461	−	31.5554i	−0.0754539	−	1.13132i
$779$	−34.6251	+	10.4357i	−1.24057	+	0.373899i
$780$	−21.9638	−	42.3644i	−0.786431	−	1.51689i
$781$	−3.75947	+	1.22153i	−0.134525	+	0.0437097i
$782$	−34.0545	−	29.7960i	−1.21779	−	1.06550i
$783$	−11.6880	−	1.85120i	−0.417696	−	0.0661566i
$784$	12.9962	−	16.2004i	0.464150	−	0.578587i
$785$	−30.5188	−	39.3829i	−1.08926	−	1.40564i
$786$	37.0270	+	9.35846i	1.32071	+	0.333805i
$787$	−7.72033	−	48.7442i	−0.275200	−	1.73754i	−0.607454	−	0.794355i	$-0.707809\pi$
$787$	−7.72033	−	48.7442i	−0.275200	−	1.73754i	0.332254	−	0.943190i	$-0.392191\pi$
$788$	−0.577334	+	0.755982i	−0.0205667	+	0.0269307i
$789$	−26.1732	+	36.0243i	−0.931790	+	1.28250i
$790$	4.30519	+	6.73475i	0.153172	+	0.239612i
$791$	−17.7909	−	2.81780i	−0.632572	−	0.100190i
$792$	−1.77386	−	0.493695i	−0.0630313	−	0.0175427i
$793$	2.22448			0.0789936
$794$	−17.8844	−	21.4535i	−0.634693	−	0.761357i
$795$	26.7388	−	0.827702i	0.948327	−	0.0293555i
$796$	−4.29492	−	14.3782i	−0.152229	−	0.509621i
$797$	2.21120	−	4.33972i	0.0783246	−	0.153721i	−0.848523	−	0.529159i	$-0.822508\pi$
$797$	2.21120	−	4.33972i	0.0783246	−	0.153721i	0.926848	+	0.375438i	$0.122508\pi$
$798$	−43.9075	+	26.1905i	−1.55431	+	0.927132i
$799$	1.69678	+	0.551317i	0.0600277	+	0.0195042i
$800$	21.4675	−	18.4159i	0.758990	−	0.651102i
$801$	−4.93074	+	2.51234i	−0.174219	+	0.0887690i
$802$	11.2272	+	28.0476i	0.396445	+	0.990395i
$803$	−16.9743	+	23.3632i	−0.599011	+	0.824468i
$804$	9.52577	−	52.0629i	0.335948	−	1.83612i
$805$	−6.56136	−	34.4840i	−0.231257	−	1.21540i
$806$	3.27505	+	49.1044i	0.115359	+	1.72963i
$807$	32.7790	−	10.6505i	1.15388	−	0.374917i
$808$	−0.920654	−	21.5420i	−0.0323885	−	0.757844i
$809$	−7.11568	−	44.9267i	−0.250174	−	1.57954i	−0.718209	−	0.695827i	$-0.755038\pi$
$809$	−7.11568	−	44.9267i	−0.250174	−	1.57954i	0.468035	−	0.883710i	$-0.344962\pi$
$810$	−6.76361	+	30.7339i	−0.237649	+	1.07988i
$811$	34.8310			1.22308			0.611542	−	0.791212i	$-0.290550\pi$
$811$	34.8310			1.22308			0.611542	+	0.791212i	$0.290550\pi$
$812$	−16.3647	+	4.88832i	−0.574289	+	0.171546i
$813$	−5.10885	−	1.65997i	−0.179175	−	0.0582175i
$814$	−0.251340	−	0.627894i	−0.00880946	−	0.0220077i
$815$	−12.8957	+	2.45370i	−0.451718	+	0.0859494i
$816$	40.7056	+	32.6546i	1.42498	+	1.14314i
$817$	−46.5182			−1.62747
$818$	1.95337	+	4.87988i	0.0682979	+	0.170621i
$819$	7.32656			0.256011
$820$	−0.411368	+	28.6327i	−0.0143656	+	0.999897i
$821$	38.9031			1.35773			0.678863	−	0.734265i	$-0.262473\pi$
$821$	38.9031			1.35773			0.678863	+	0.734265i	$0.262473\pi$
$822$	−3.12504	−	7.80694i	−0.108998	−	0.272298i
$823$	3.65930			0.127555			0.0637776	−	0.997964i	$-0.479685\pi$
$823$	3.65930			0.127555			0.0637776	+	0.997964i	$0.479685\pi$
$824$	−3.14942	+	0.134599i	−0.109715	+	0.00468898i
$825$	−14.2555	+	8.41257i	−0.496313	+	0.292888i
$826$	−17.6898	−	44.1926i	−0.615508	−	1.53766i
$827$	−20.1541	−	6.54846i	−0.700826	−	0.227712i	−0.0631355	−	0.998005i	$-0.520110\pi$
$827$	−20.1541	−	6.54846i	−0.700826	−	0.227712i	−0.637690	+	0.770293i	$0.720110\pi$
$828$	0.927710	+	3.10571i	0.0322401	+	0.107931i
$829$	−3.38666			−0.117624			−0.0588118	−	0.998269i	$-0.518731\pi$
$829$	−3.38666			−0.117624			−0.0588118	+	0.998269i	$0.518731\pi$
$830$	−1.13927	+	0.728279i	−0.0395446	+	0.0252789i
$831$	−8.69236	−	54.8814i	−0.301535	−	1.90381i
$832$	−39.8707	−	24.0569i	−1.38227	−	0.834022i
$833$	35.1438	−	11.4189i	1.21766	−	0.395642i
$834$	0.161634	+	2.42346i	0.00559694	+	0.0839175i
$835$	19.0595	+	12.9659i	0.659581	+	0.448705i
$836$	−20.0658	−	3.67137i	−0.693989	−	0.126977i
$837$	17.0033	−	23.4030i	0.587720	−	0.808927i
$838$	2.32596	+	5.81069i	0.0803490	+	0.200727i
$839$	17.0028	−	8.66338i	0.587003	−	0.299093i	−0.135151	−	0.990825i	$-0.543152\pi$
$839$	17.0028	−	8.66338i	0.587003	−	0.299093i	0.722154	+	0.691732i	$0.243152\pi$
$840$	9.25825	+	39.4101i	0.319440	+	1.35978i
$841$	−21.8921	−	7.11319i	−0.754902	−	0.245282i
$842$	−24.2333	+	14.4550i	−0.835136	+	0.498152i
$843$	−2.04992	+	4.02320i	−0.0706031	+	0.138566i
$844$	−31.9213	+	9.53524i	−1.09878	+	0.328216i
$845$	1.44467	+	46.6698i	0.0496981	+	1.60549i
$846$	−0.0818320	−	0.0981630i	−0.00281344	−	0.00337492i
$847$	27.0215			0.928468
$848$	21.8280	−	14.3181i	0.749578	−	0.491687i
$849$	12.6625	+	2.00554i	0.434576	+	0.0688300i
$850$	49.9086	−	6.44816i	1.71185	−	0.221170i
$851$	−0.699807	+	0.963202i	−0.0239891	+	0.0330181i
$852$	−6.37798	−	4.87079i	−0.218506	−	0.166870i
$853$	5.13142	+	32.3985i	0.175697	+	1.10930i	0.905093	+	0.425213i	$0.139801\pi$
$853$	5.13142	+	32.3985i	0.175697	+	1.10930i	−0.729397	+	0.684091i	$0.760199\pi$
$854$	−1.82961	−	0.462428i	−0.0626080	−	0.0158240i
$855$	0.572694	−	4.51624i	0.0195857	−	0.154452i
$856$	10.3374	−	0.441798i	0.353326	−	0.0151003i
$857$	4.56943	+	0.723726i	0.156089	+	0.0247220i	0.233990	−	0.972239i	$-0.424822\pi$
$857$	4.56943	+	0.723726i	0.156089	+	0.0247220i	−0.0779010	+	0.996961i	$0.524822\pi$
$858$	20.5095	+	17.9448i	0.700183	+	0.612624i
$859$	19.4300	−	6.31319i	0.662943	−	0.215403i	0.0418303	−	0.999125i	$-0.486681\pi$
$859$	19.4300	−	6.31319i	0.662943	−	0.215403i	0.621112	+	0.783722i	$0.286681\pi$
$860$	−11.1350	+	35.1115i	−0.379700	+	1.19729i
$861$	−36.1117	−	19.3853i	−1.23068	−	0.660651i
$862$	1.17439	+	17.6081i	0.0399997	+	0.599734i
$863$	−32.3598	−	16.4881i	−1.10154	−	0.561263i	−0.193904	−	0.981021i	$-0.562115\pi$
$863$	−32.3598	−	16.4881i	−1.10154	−	0.561263i	−0.907636	+	0.419758i	$0.862115\pi$
$864$	8.94686	+	25.8681i	0.304378	+	0.880052i
$865$	37.6098	−	7.15611i	1.27877	−	0.243315i
$866$	−38.6628	−	3.50788i	−1.31381	−	0.119203i
$867$	19.0614	+	58.6649i	0.647358	+	1.99236i
$868$	7.51419	−	41.0686i	0.255048	−	1.39396i
$869$	−3.69298	−	2.68311i	−0.125276	−	0.0910181i
$870$	5.17558	−	13.1989i	0.175469	−	0.447485i
$871$	−49.3910	+	67.9808i	−1.67355	+	2.30344i
$872$	12.7201	+	34.1174i	0.430758	+	1.15536i
$873$	−0.394100	−	0.542432i	−0.0133383	−	0.0183586i
$874$	13.3447	+	33.3376i	0.451392	+	1.12766i
$875$	33.5743	+	19.9198i	1.13502	+	0.673414i
$876$	−58.6115	−	1.40023i	−1.98030	−	0.0473093i
$877$	−28.3268	+	14.4332i	−0.956527	+	0.487375i	−0.861309	−	0.508081i	$-0.830355\pi$
$877$	−28.3268	+	14.4332i	−0.956527	+	0.487375i	−0.0952184	+	0.995456i	$0.530355\pi$
$878$	5.31002	+	23.3425i	0.179204	+	0.787770i
$879$	−0.927285	−	2.85389i	−0.0312765	−	0.0962593i
$880$	−7.57423	+	14.2667i	−0.255327	+	0.480929i
$881$	−23.0742	−	7.49727i	−0.777391	−	0.252590i	−0.106665	−	0.994295i	$-0.534017\pi$
$881$	−23.0742	−	7.49727i	−0.777391	−	0.252590i	−0.670726	+	0.741705i	$0.734017\pi$
$882$	−2.56628	−	0.648618i	−0.0864110	−	0.0218401i
$883$	−22.9439	−	7.45492i	−0.772123	−	0.250878i	−0.103650	−	0.994614i	$-0.533052\pi$
$883$	−22.9439	−	7.45492i	−0.772123	−	0.250878i	−0.668474	+	0.743736i	$0.733052\pi$
$884$	−35.8396	−	74.6977i	−1.20542	−	2.51236i
$885$	37.9397	+	11.0419i	1.27533	+	0.371169i
$886$	−25.1303	+	14.9900i	−0.844269	+	0.503600i
$887$	−46.7940	+	33.9978i	−1.57119	+	1.14154i	−0.645183	+	0.764028i	$0.723219\pi$
$887$	−46.7940	+	33.9978i	−1.57119	+	1.14154i	−0.926007	+	0.377507i	$0.876781\pi$
$888$	0.758902	−	1.14428i	0.0254671	−	0.0383996i
$889$	17.4645	−	34.2760i	0.585741	−	1.14958i
$890$	12.2278	+	46.9808i	0.409875	+	1.57480i
$891$	−2.81137	−	17.7503i	−0.0941844	−	0.594657i
$892$	1.56668	+	5.24479i	0.0524562	+	0.175609i
$893$	−1.00115	−	1.00115i	−0.0335021	−	0.0335021i
$894$	−7.37473	−	32.4188i	−0.246648	−	1.08425i
$895$	−26.6125	+	28.3127i	−0.889559	+	0.946391i
$896$	27.7923	+	28.0749i	0.928475	+	0.937917i
$897$	7.50458	−	47.3821i	0.250571	−	1.58204i
$898$	−3.41637	−	4.09817i	−0.114006	−	0.136758i
$899$	−10.3388	+	10.3388i	−0.344817	+	0.344817i
$900$	−3.27173	−	1.51331i	−0.109058	−	0.0504437i
$901$	46.4461			1.54734
$902$	−5.75058	−	15.3088i	−0.191473	−	0.509728i
$903$	−37.2797	−	37.2797i	−1.24059	−	1.24059i
$904$	3.91219	−	14.0566i	0.130118	−	0.467516i
$905$	−30.4009	−	14.3231i	−1.01056	−	0.476115i
$906$	−4.24112	+	46.7443i	−0.140902	+	1.55297i
$907$	−2.53208	−	0.401042i	−0.0840764	−	0.0133164i	0.114255	−	0.993452i	$-0.463552\pi$
$907$	−2.53208	−	0.401042i	−0.0840764	−	0.0133164i	−0.198331	+	0.980135i	$0.563552\pi$
$908$	−15.3143	−	31.9184i	−0.508223	−	1.05925i
$909$	−2.44847	+	1.24756i	−0.0812106	+	0.0413789i
$910$	13.8138	−	62.7701i	0.457924	−	2.08081i
$911$	−3.00148			−0.0994435			−0.0497217	−	0.998763i	$-0.515833\pi$
$911$	−3.00148			−0.0994435			−0.0497217	+	0.998763i	$0.515833\pi$
$912$	−17.0177	−	37.7552i	−0.563513	−	1.25020i
$913$	0.453882	−	0.624715i	0.0150213	−	0.0206750i
$914$	−27.0185	+	22.5235i	−0.893692	+	0.745012i
$915$	1.23824	−	0.959543i	0.0409349	−	0.0317215i
$916$	−5.37422	+	7.03719i	−0.177569	+	0.232515i
$917$	30.2351	+	41.6150i	0.998450	+	1.37425i
$918$	−11.9334	+	47.2150i	−0.393862	+	1.55833i
$919$	4.68253	+	29.5644i	0.154463	+	0.975238i	0.936158	+	0.351578i	$0.114355\pi$
$919$	4.68253	+	29.5644i	0.154463	+	0.975238i	−0.781696	+	0.623660i	$0.785645\pi$
$920$	28.3572	−	2.09249i	0.934910	−	0.0689874i
$921$	−17.7635	+	9.05097i	−0.585328	+	0.298240i
$922$	32.5927	+	8.23770i	1.07338	+	0.271294i
$923$	5.78430	+	11.3523i	0.190393	+	0.373666i
$924$	−13.1385	−	19.0229i	−0.432224	−	0.625808i
$925$	−0.287624	−	1.29247i	−0.00945702	−	0.0424962i
$926$	−6.12164	+	9.72692i	−0.201169	+	0.319646i
$927$	0.182392	+	0.357965i	0.00599055	+	0.0117571i
$928$	−2.42108	−	13.6212i	−0.0794758	−	0.447139i
$929$	3.16367	−	3.16367i	0.103797	−	0.103797i	−0.653301	−	0.757098i	$-0.726617\pi$
$929$	3.16367	−	3.16367i	0.103797	−	0.103797i	0.757098	+	0.653301i	$0.226617\pi$
$930$	23.0045	+	25.9208i	0.754347	+	0.849977i
$931$	−28.9639	−	4.58743i	−0.949253	−	0.150347i
$932$	15.7020	−	29.0785i	0.514337	−	0.952497i
$933$	−5.76080	+	0.912421i	−0.188600	+	0.0298713i
$934$	7.39739	+	6.47233i	0.242050	+	0.211781i
$935$	−25.1905	+	13.8331i	−0.823816	+	0.452392i
$936$	−0.677267	+	5.89598i	−0.0221372	+	0.192716i
$937$	29.3557	−	9.53825i	0.959009	−	0.311601i	0.212638	−	0.977131i	$-0.431794\pi$
$937$	29.3557	−	9.53825i	0.959009	−	0.311601i	0.746371	+	0.665530i	$0.231794\pi$
$938$	54.7555	−	45.6460i	1.78783	−	1.49040i
$939$	3.26380	−	2.37129i	0.106510	−	0.0773841i
$940$	−0.995299	+	0.516013i	−0.0324631	+	0.0168305i
$941$	−15.1303	+	4.91615i	−0.493235	+	0.160262i	−0.545064	−	0.838394i	$-0.683495\pi$
$941$	−15.1303	+	4.91615i	−0.493235	+	0.160262i	0.0518293	+	0.998656i	$0.483495\pi$
$942$	3.84416	+	57.6373i	0.125249	+	1.87792i
$943$	−17.4160	+	22.9218i	−0.567143	+	0.746436i
$944$	37.1988	−	10.1506i	1.21072	−	0.330373i
$945$	−29.8624	+	23.1411i	−0.971423	+	0.752781i
$946$	−1.39988	−	20.9890i	−0.0455140	−	0.682413i
$947$	−5.90911	+	37.3086i	−0.192020	+	1.21237i	0.683778	+	0.729690i	$0.260336\pi$
$947$	−5.90911	+	37.3086i	−0.192020	+	1.21237i	−0.875798	+	0.482678i	$0.839664\pi$
$948$	0.221332	−	9.26463i	0.00718852	−	0.300901i
$949$	82.9351	+	42.2575i	2.69219	+	1.37174i
$950$	−37.6130	−	13.4217i	−1.22033	−	0.435456i
$951$	−25.7634	−	18.7182i	−0.835435	−	0.606979i
$952$	13.9494	+	68.8885i	0.452103	+	2.23269i
$953$	−24.3715	+	3.86006i	−0.789470	+	0.125040i	−0.538133	−	0.842860i	$-0.680870\pi$
$953$	−24.3715	+	3.86006i	−0.789470	+	0.125040i	−0.251337	+	0.967900i	$0.580870\pi$
$954$	−2.81579	−	1.77212i	−0.0911647	−	0.0573745i
$955$	−2.97472	−	15.6340i	−0.0962596	−	0.505904i
$956$	−27.6444	−	9.71807i	−0.894084	−	0.314305i
$957$			8.09642i			0.261720i
$958$	5.38729	+	0.488790i	0.174055	+	0.0157921i
$959$	3.49996	−	10.7718i	0.113020	−	0.347838i
$960$	−32.5708	+	3.80742i	−1.05122	+	0.122884i
$961$	−1.46530	−	4.50972i	−0.0472677	−	0.145475i
$962$	−1.87216	+	1.11673i	−0.0603610	+	0.0360048i
$963$	−0.598670	−	1.17496i	−0.0192919	−	0.0378624i
$964$	−8.04063	−	1.47117i	−0.258971	−	0.0473831i
$965$	−30.2404	+	0.936096i	−0.973474	+	0.0301340i
$966$	−16.0223	+	37.4112i	−0.515509	+	1.20369i
$967$	31.2050	+	22.6718i	1.00349	+	0.729075i	0.962833	−	0.270098i	$-0.0870561\pi$
$967$	31.2050	+	22.6718i	1.00349	+	0.729075i	0.0406532	+	0.999173i	$0.487056\pi$
$968$	−2.49786	+	21.7453i	−0.0802843	+	0.698920i
$969$	11.5265	−	72.7754i	0.370284	−	2.33788i
$970$	−5.39033	+	2.35372i	−0.173073	+	0.0755734i
$971$	13.8294	−	27.1418i	0.443808	−	0.871022i	−0.555414	−	0.831574i	$-0.687440\pi$
$971$	13.8294	−	27.1418i	0.443808	−	0.871022i	0.999222	−	0.0394482i	$-0.0125600\pi$
$972$	5.39466	−	5.14292i	0.173034	−	0.164959i
$973$	−1.92285	+	2.64657i	−0.0616437	+	0.0848452i
$974$	−16.4727	+	3.74727i	−0.527820	+	0.120070i
$975$	33.9692	+	41.1405i	1.08788	+	1.31755i
$976$	0.541264	−	1.42962i	0.0173254	−	0.0457609i
$977$	16.0183	−	49.2991i	0.512470	−	1.57722i	−0.275370	−	0.961338i	$-0.588800\pi$
$977$	16.0183	−	49.2991i	0.512470	−	1.57722i	0.787839	−	0.615881i	$-0.211200\pi$
$978$	13.9904	+	5.99174i	0.447363	+	0.191595i
$979$	−16.2956	−	22.4289i	−0.520809	−	0.716832i
$980$	−10.3956	+	20.7636i	−0.332075	+	0.663268i
$981$	3.28137	−	3.28137i	0.104766	−	0.104766i
$982$	10.5442	+	26.3413i	0.336478	+	0.840585i
$983$	−8.60633	−	8.60633i	−0.274499	−	0.274499i	0.556409	−	0.830908i	$-0.312179\pi$
$983$	−8.60633	−	8.60633i	−0.274499	−	0.274499i	−0.830908	+	0.556409i	$0.812179\pi$
$984$	18.9383	−	27.2686i	0.603732	−	0.869291i
$985$	0.453268	−	0.962069i	0.0144423	−	0.0306541i
$986$	9.69057	−	22.6270i	0.308611	−	0.720589i
$987$		−	1.60464i		−	0.0510761i
$988$	−1.57029	+	65.7303i	−0.0499577	+	2.09116i
$989$	−29.9581	+	21.7659i	−0.952614	+	0.692114i
$990$	2.05496	+	0.122492i	0.0653111	+	0.00389305i
$991$	2.91636	−	1.48596i	0.0926414	−	0.0472031i	−0.407056	−	0.913403i	$-0.633445\pi$
$991$	2.91636	−	1.48596i	0.0926414	−	0.0472031i	0.499697	+	0.866200i	$0.333445\pi$
$992$	32.3550	+	9.84336i	1.02727	+	0.312527i
$993$	15.9629	+	15.9629i	0.506567	+	0.506567i
$994$	−2.39759	−	10.5396i	−0.0760468	−	0.334296i
$995$	8.07553	+	14.7057i	0.256011	+	0.466203i
$996$	1.56723	+	0.0374411i	0.0496597	+	0.00118637i
$997$	4.66089	+	14.3447i	0.147612	+	0.454303i	0.997338	−	0.0729223i	$-0.0232325\pi$
$997$	4.66089	+	14.3447i	0.147612	+	0.454303i	−0.849726	+	0.527225i	$0.823233\pi$
$998$	−26.2984	−	23.0098i	−0.832462	−	0.728362i
$999$	1.26559	+	0.200450i	0.0400414	+	0.00634194i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	820.2.bv.c.207.15	yes	960
4.3	odd	2	inner	820.2.bv.c.207.53	yes	960
5.3	odd	4		820.2.bk.c.43.75	yes	960
20.3	even	4		820.2.bk.c.43.9	✓	960
41.21	even	20		820.2.bk.c.267.9	yes	960
164.103	odd	20		820.2.bk.c.267.75	yes	960
205.103	odd	20	inner	820.2.bv.c.103.53	yes	960
820.103	even	20	inner	820.2.bv.c.103.15	yes	960

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
820.2.bk.c.43.9	✓	960	20.3	even	4
820.2.bk.c.43.75	yes	960	5.3	odd	4
820.2.bk.c.267.9	yes	960	41.21	even	20
820.2.bk.c.267.75	yes	960	164.103	odd	20
820.2.bv.c.103.15	yes	960	820.103	even	20	inner
820.2.bv.c.103.53	yes	960	205.103	odd	20	inner
820.2.bv.c.207.15	yes	960	1.1	even	1	trivial
820.2.bv.c.207.53	yes	960	4.3	odd	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 820 = 2^{2} \cdot 5 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	820.bv (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.31293 + 0.525554i) q^{2} -1.83316 q^{3} +(1.44759 - 1.38003i) q^{4} +(-1.25773 + 1.84882i) q^{5} +(2.40682 - 0.963425i) q^{6} +(3.32085 + 1.07901i) q^{7} +(-1.17530 + 2.57268i) q^{8} +0.360477 q^{9} +(0.679658 - 3.08838i) q^{10} +(0.282507 + 1.78368i) q^{11} +(-2.65366 + 2.52982i) q^{12} +(5.53588 - 1.79872i) q^{13} +(-4.92713 + 0.328618i) q^{14} +(2.30562 - 3.38918i) q^{15} +(0.191011 - 3.99544i) q^{16} +(4.18315 - 5.75762i) q^{17} +(-0.473282 + 0.189450i) q^{18} +(-5.03222 + 2.56405i) q^{19} +(0.730762 + 4.41203i) q^{20} +(-6.08764 - 1.97799i) q^{21} +(-1.30833 - 2.19338i) q^{22} +(-2.04108 + 4.00584i) q^{23} +(2.15451 - 4.71613i) q^{24} +(-1.83625 - 4.65061i) q^{25} +(-6.32292 + 5.27100i) q^{26} +4.83867 q^{27} +(6.29628 - 3.02092i) q^{28} +(-2.41555 - 0.382585i) q^{29} +(-1.24592 + 5.66149i) q^{30} +(3.51404 - 4.83666i) q^{31} +(1.84903 + 5.34613i) q^{32} +(-0.517881 - 3.26977i) q^{33} +(-2.46626 + 9.75784i) q^{34} +(-6.17161 + 4.78254i) q^{35} +(0.521821 - 0.497470i) q^{36} +(0.261557 + 0.0414266i) q^{37} +(5.25943 - 6.01113i) q^{38} +(-10.1482 + 3.29734i) q^{39} +(-3.27820 - 5.40864i) q^{40} +(6.30138 + 1.13693i) q^{41} +(9.03221 - 0.602410i) q^{42} +(7.33880 + 3.73931i) q^{43} +(2.87049 + 2.19216i) q^{44} +(-0.453381 + 0.666455i) q^{45} +(0.574513 - 6.33210i) q^{46} +(0.0774669 + 0.238419i) q^{47} +(-0.350153 + 7.32428i) q^{48} +(4.20064 + 3.05194i) q^{49} +(4.85502 + 5.14090i) q^{50} +(-7.66839 + 10.5546i) q^{51} +(5.53138 - 10.2435i) q^{52} +(3.83604 + 5.27985i) q^{53} +(-6.35285 + 2.54298i) q^{54} +(-3.65302 - 1.72108i) q^{55} +(-6.67893 + 7.27530i) q^{56} +(9.22487 - 4.70031i) q^{57} +(3.37252 - 0.767192i) q^{58} +(2.97884 + 9.16792i) q^{59} +(-1.33960 - 8.08795i) q^{60} +(0.363458 + 0.118095i) q^{61} +(-2.07177 + 8.19703i) q^{62} +(1.19709 + 0.388957i) q^{63} +(-5.23734 - 6.04734i) q^{64} +(-3.63713 + 12.4971i) q^{65} +(2.39839 + 4.02082i) q^{66} +(-11.6790 + 8.48529i) q^{67} +(-1.89023 - 14.1075i) q^{68} +(3.74163 - 7.34335i) q^{69} +(5.58942 - 9.52266i) q^{70} +(0.342417 + 2.16194i) q^{71} +(-0.423669 + 0.927390i) q^{72} +(11.3074 + 11.3074i) q^{73} +(-0.365179 + 0.0830721i) q^{74} +(3.36613 + 8.52532i) q^{75} +(-3.74611 + 10.6563i) q^{76} +(-0.986443 + 6.22816i) q^{77} +(11.5909 - 9.66259i) q^{78} +(-1.78734 + 1.78734i) q^{79} +(7.14659 + 5.37831i) q^{80} -9.95149 q^{81} +(-8.87081 + 1.81900i) q^{82} +(-0.302351 - 0.302351i) q^{83} +(-11.5421 + 5.53784i) q^{84} +(5.38351 + 14.9754i) q^{85} +(-11.6006 - 1.05252i) q^{86} +(4.42808 + 0.701340i) q^{87} +(-4.92087 - 1.36956i) q^{88} +(-13.6784 + 6.96948i) q^{89} +(0.245001 - 1.11329i) q^{90} +20.3246 q^{91} +(2.57356 + 8.61556i) q^{92} +(-6.44180 + 8.86638i) q^{93} +(-0.227011 - 0.272315i) q^{94} +(1.58871 - 12.5285i) q^{95} +(-3.38957 - 9.80031i) q^{96} +(-1.09328 - 1.50476i) q^{97} +(-7.11912 - 1.79933i) q^{98} +(0.101837 + 0.642975i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 960 q - 10 q^{2} - 20 q^{5} - 16 q^{6} + 2 q^{8} + 960 q^{9} - 60 q^{10} - 40 q^{12} - 20 q^{13} - 8 q^{14} - 28 q^{16} - 20 q^{17} - 48 q^{18} - 34 q^{20} - 40 q^{21} - 10 q^{22} - 48 q^{24} - 4 q^{25}+ \cdots - 38 q^{98}+O(q^{100}) \) 960 * q - 10 * q^2 - 20 * q^5 - 16 * q^6 + 2 * q^8 + 960 * q^9 - 60 * q^10 - 40 * q^12 - 20 * q^13 - 8 * q^14 - 28 * q^16 - 20 * q^17 - 48 * q^18 - 34 * q^20 - 40 * q^21 - 10 * q^22 - 48 * q^24 - 4 * q^25 - 20 * q^26 - 10 * q^28 - 10 * q^30 - 56 * q^33 - 20 * q^34 - 100 * q^36 + 88 * q^37 - 16 * q^40 - 24 * q^41 - 104 * q^42 - 100 * q^45 - 20 * q^46 - 40 * q^48 + 224 * q^49 - 12 * q^50 - 38 * q^52 - 20 * q^53 - 52 * q^54 + 96 * q^56 - 72 * q^57 - 38 * q^58 - 14 * q^60 - 40 * q^61 - 10 * q^62 - 120 * q^64 - 60 * q^65 - 12 * q^66 - 116 * q^68 - 104 * q^69 - 96 * q^70 - 24 * q^72 - 72 * q^73 - 28 * q^74 - 40 * q^76 - 76 * q^77 - 44 * q^78 - 90 * q^80 + 592 * q^81 - 130 * q^82 - 92 * q^84 - 64 * q^85 - 12 * q^86 - 104 * q^88 + 136 * q^89 - 364 * q^90 - 220 * q^92 - 32 * q^94 - 44 * q^96 + 80 * q^97 - 38 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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