LMFDB - Embedded newform 572.2.bk.a.31.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [572,2,Mod(31,572)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(572, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 12, 15]))

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

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

chi := DirichletCharacter("572.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 572 = 2^{2} \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	572.bk (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$4.56744299562$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$80$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			31.20
Character	$\chi$	$=$	572.31
Dual form			572.2.bk.a.203.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.986038 - 1.01377i) q^{2} +(-0.445909 - 0.613742i) q^{3} +(-0.0554586 + 1.99923i) q^{4} +(-0.483456 - 0.246333i) q^{5} +(-0.182509 + 1.05722i) q^{6} +(-2.49202 + 0.394697i) q^{7} +(2.08144 - 1.91510i) q^{8} +(0.749207 - 2.30582i) q^{9} +O(q^{10})$	\(q+(-0.986038 - 1.01377i) q^{2} +(-0.445909 - 0.613742i) q^{3} +(-0.0554586 + 1.99923i) q^{4} +(-0.483456 - 0.246333i) q^{5} +(-0.182509 + 1.05722i) q^{6} +(-2.49202 + 0.394697i) q^{7} +(2.08144 - 1.91510i) q^{8} +(0.749207 - 2.30582i) q^{9} +(0.226981 + 0.733007i) q^{10} +(2.98898 - 1.43736i) q^{11} +(1.25174 - 0.857439i) q^{12} +(3.56387 + 0.546658i) q^{13} +(2.85736 + 2.13715i) q^{14} +(0.0643927 + 0.406560i) q^{15} +(-3.99385 - 0.221749i) q^{16} +(-0.911820 + 0.296268i) q^{17} +(-3.07632 + 1.51411i) q^{18} +(-3.82678 - 0.606103i) q^{19} +(0.519289 - 0.952880i) q^{20} +(1.35346 + 1.35346i) q^{21} +(-4.40440 - 1.61284i) q^{22} -5.10467 q^{23} +(-2.10351 - 0.423510i) q^{24} +(-2.76588 - 3.80690i) q^{25} +(-2.95993 - 4.15197i) q^{26} +(-3.91375 + 1.27165i) q^{27} +(-0.650887 - 5.00402i) q^{28} +(0.368974 + 0.268075i) q^{29} +(0.348664 - 0.466163i) q^{30} +(-4.85396 + 2.47322i) q^{31} +(3.71328 + 4.26750i) q^{32} +(-2.21498 - 1.19353i) q^{33} +(1.19944 + 0.632244i) q^{34} +(1.30201 + 0.423049i) q^{35} +(4.56832 + 1.62572i) q^{36} +(-1.30669 - 8.25011i) q^{37} +(3.15890 + 4.47712i) q^{38} +(-1.25366 - 2.43105i) q^{39} +(-1.47804 + 0.413136i) q^{40} +(1.60633 - 10.1420i) q^{41} +(0.0375340 - 2.70666i) q^{42} -4.95496 q^{43} +(2.70786 + 6.05537i) q^{44} +(-0.930210 + 0.930210i) q^{45} +(5.03340 + 5.17496i) q^{46} +(0.509281 - 3.21548i) q^{47} +(1.64480 + 2.55007i) q^{48} +(-0.603012 + 0.195930i) q^{49} +(-1.13206 + 6.55771i) q^{50} +(0.588421 + 0.427513i) q^{51} +(-1.29054 + 7.09468i) q^{52} +(-4.49388 + 13.8308i) q^{53} +(5.14827 + 2.71374i) q^{54} +(-1.79911 - 0.0413820i) q^{55} +(-4.43112 + 5.59400i) q^{56} +(1.33441 + 2.61892i) q^{57} +(-0.0920556 - 0.638386i) q^{58} +(-2.54615 + 0.403270i) q^{59} +(-0.816378 + 0.106189i) q^{60} +(-1.69135 - 5.20545i) q^{61} +(7.29346 + 2.48211i) q^{62} +(-0.956938 + 6.04187i) q^{63} +(0.664821 - 7.97233i) q^{64} +(-1.58832 - 1.14218i) q^{65} +(0.974097 + 3.42234i) q^{66} +(-9.00133 - 9.00133i) q^{67} +(-0.541740 - 1.83937i) q^{68} +(2.27622 + 3.13295i) q^{69} +(-0.854958 - 1.73708i) q^{70} +(1.90091 - 3.73075i) q^{71} +(-2.85644 - 6.23425i) q^{72} +(0.870504 + 5.49614i) q^{73} +(-7.07527 + 9.45960i) q^{74} +(-1.10312 + 3.39507i) q^{75} +(1.42397 - 7.61701i) q^{76} +(-6.88127 + 4.76168i) q^{77} +(-1.22838 + 3.66803i) q^{78} +(13.7583 + 4.47034i) q^{79} +(1.87623 + 1.09102i) q^{80} +(-3.35871 - 2.44024i) q^{81} +(-11.8656 + 8.37194i) q^{82} +(6.30441 - 12.3731i) q^{83} +(-2.78094 + 2.63081i) q^{84} +(0.513806 + 0.0813788i) q^{85} +(4.88577 + 5.02318i) q^{86} -0.345992i q^{87} +(3.46870 - 8.71597i) q^{88} +(10.8323 + 10.8323i) q^{89} +(1.86024 + 0.0257965i) q^{90} +(-9.09700 + 0.0443673i) q^{91} +(0.283098 - 10.2054i) q^{92} +(3.68234 + 1.87625i) q^{93} +(-3.76192 + 2.65429i) q^{94} +(1.70078 + 1.23569i) q^{95} +(0.963352 - 4.18191i) q^{96} +(-3.62977 - 7.12382i) q^{97} +(0.793221 + 0.418120i) q^{98} +(-1.07494 - 7.96894i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 6 q^{2} - 12 q^{5} - 14 q^{6} - 6 q^{8} + 120 q^{9}+O(q^{10}) $ 640 * q - 6 * q^2 - 12 * q^5 - 14 * q^6 - 6 * q^8 + 120 * q^9	$ 640 q - 6 q^{2} - 12 q^{5} - 14 q^{6} - 6 q^{8} + 120 q^{9} - 12 q^{13} + 4 q^{14} - 36 q^{16} - 10 q^{18} - 60 q^{20} - 56 q^{21} - 44 q^{22} - 14 q^{24} + 26 q^{26} - 14 q^{28} - 24 q^{29} - 16 q^{32} - 28 q^{33} + 12 q^{34} - 12 q^{37} + 4 q^{40} - 36 q^{41} - 8 q^{42} + 26 q^{44} - 16 q^{45} - 50 q^{46} + 48 q^{48} + 36 q^{50} - 52 q^{52} - 40 q^{53} + 116 q^{54} - 36 q^{57} - 70 q^{58} + 52 q^{60} - 8 q^{61} - 48 q^{65} - 228 q^{66} - 44 q^{68} - 68 q^{70} - 38 q^{72} - 12 q^{73} - 12 q^{74} + 108 q^{76} + 108 q^{78} + 62 q^{80} - 168 q^{81} - 36 q^{84} - 52 q^{85} - 62 q^{86} + 16 q^{89} - 80 q^{92} - 4 q^{93} - 124 q^{94} - 132 q^{96} - 4 q^{97} - 108 q^{98}+O(q^{100}) $ 640 * q - 6 * q^2 - 12 * q^5 - 14 * q^6 - 6 * q^8 + 120 * q^9 - 12 * q^13 + 4 * q^14 - 36 * q^16 - 10 * q^18 - 60 * q^20 - 56 * q^21 - 44 * q^22 - 14 * q^24 + 26 * q^26 - 14 * q^28 - 24 * q^29 - 16 * q^32 - 28 * q^33 + 12 * q^34 - 12 * q^37 + 4 * q^40 - 36 * q^41 - 8 * q^42 + 26 * q^44 - 16 * q^45 - 50 * q^46 + 48 * q^48 + 36 * q^50 - 52 * q^52 - 40 * q^53 + 116 * q^54 - 36 * q^57 - 70 * q^58 + 52 * q^60 - 8 * q^61 - 48 * q^65 - 228 * q^66 - 44 * q^68 - 68 * q^70 - 38 * q^72 - 12 * q^73 - 12 * q^74 + 108 * q^76 + 108 * q^78 + 62 * q^80 - 168 * q^81 - 36 * q^84 - 52 * q^85 - 62 * q^86 + 16 * q^89 - 80 * q^92 - 4 * q^93 - 124 * q^94 - 132 * q^96 - 4 * q^97 - 108 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/572\mathbb{Z}\right)^\times$.

$n$	$287$	$353$	$365$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{3}{5}\right)$

Coefficient data

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

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

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

$2$	−0.986038	−	1.01377i	−0.697234	−	0.716844i
$2$	−0.986038	−	1.01377i	−0.697234	−	0.716844i
$3$	−0.445909	−	0.613742i	−0.257446	−	0.354344i	0.660656	−	0.750689i	$-0.270278\pi$
$3$	−0.445909	−	0.613742i	−0.257446	−	0.354344i	−0.918102	+	0.396345i	$0.870278\pi$
$4$	−0.0554586	+	1.99923i	−0.0277293	+	0.999615i
$5$	−0.483456	−	0.246333i	−0.216208	−	0.110164i	0.342533	−	0.939506i	$-0.388715\pi$
$5$	−0.483456	−	0.246333i	−0.216208	−	0.110164i	−0.558741	+	0.829342i	$0.688715\pi$
$6$	−0.182509	+	1.05722i	−0.0745091	+	0.431609i
$7$	−2.49202	+	0.394697i	−0.941896	+	0.149182i	−0.608454	−	0.793589i	$-0.708210\pi$
$7$	−2.49202	+	0.394697i	−0.941896	+	0.149182i	−0.333442	+	0.942771i	$0.608210\pi$
$8$	2.08144	−	1.91510i	0.735902	−	0.677088i
$9$	0.749207	−	2.30582i	0.249736	−	0.768608i
$10$	0.226981	+	0.733007i	0.0717777	+	0.231797i
$11$	2.98898	−	1.43736i	0.901211	−	0.433382i
$11$	2.98898	−	1.43736i	0.901211	−	0.433382i
$12$	1.25174	−	0.857439i	0.361346	−	0.247521i
$13$	3.56387	+	0.546658i	0.988440	+	0.151616i
$13$	3.56387	+	0.546658i	0.988440	+	0.151616i
$14$	2.85736	+	2.13715i	0.763661	+	0.571177i
$15$	0.0643927	+	0.406560i	0.0166261	+	0.104973i
$16$	−3.99385	−	0.221749i	−0.998462	−	0.0554373i
$17$	−0.911820	+	0.296268i	−0.221149	+	0.0718556i	−0.417496	−	0.908679i	$-0.637092\pi$
$17$	−0.911820	+	0.296268i	−0.221149	+	0.0718556i	0.196347	+	0.980534i	$0.437092\pi$
$18$	−3.07632	+	1.51411i	−0.725096	+	0.356878i
$19$	−3.82678	−	0.606103i	−0.877924	−	0.139050i	−0.298826	−	0.954308i	$-0.596595\pi$
$19$	−3.82678	−	0.606103i	−0.877924	−	0.139050i	−0.579098	+	0.815258i	$0.696595\pi$
$20$	0.519289	−	0.952880i	0.116117	−	0.213070i
$21$	1.35346	+	1.35346i	0.295349	+	0.295349i
$22$	−4.40440	−	1.61284i	−0.939021	−	0.343859i
$23$	−5.10467			−1.06440			−0.532199	−	0.846619i	$-0.678634\pi$
$23$	−5.10467			−1.06440			−0.532199	+	0.846619i	$0.678634\pi$
$24$	−2.10351	−	0.423510i	−0.429377	−	0.0864486i
$25$	−2.76588	−	3.80690i	−0.553175	−	0.761380i
$26$	−2.95993	−	4.15197i	−0.580489	−	0.814268i
$27$	−3.91375	+	1.27165i	−0.753201	+	0.244730i
$28$	−0.650887	−	5.00402i	−0.123006	−	0.945670i
$29$	0.368974	+	0.268075i	0.0685167	+	0.0497803i	0.621516	−	0.783401i	$-0.286517\pi$
$29$	0.368974	+	0.268075i	0.0685167	+	0.0497803i	−0.553000	+	0.833181i	$0.686517\pi$
$30$	0.348664	−	0.466163i	0.0636571	−	0.0851092i
$31$	−4.85396	+	2.47322i	−0.871797	+	0.444203i	−0.831851	−	0.554999i	$-0.812719\pi$
$31$	−4.85396	+	2.47322i	−0.871797	+	0.444203i	−0.0399462	+	0.999202i	$0.512719\pi$
$32$	3.71328	+	4.26750i	0.656422	+	0.754394i
$33$	−2.21498	−	1.19353i	−0.385579	−	0.207766i
$34$	1.19944	+	0.632244i	0.205702	+	0.108429i
$35$	1.30201	+	0.423049i	0.220080	+	0.0715083i
$36$	4.56832	+	1.62572i	0.761387	+	0.270953i
$37$	−1.30669	−	8.25011i	−0.214818	−	1.35631i	−0.825486	−	0.564422i	$-0.809099\pi$
$37$	−1.30669	−	8.25011i	−0.214818	−	1.35631i	0.610668	−	0.791887i	$-0.290901\pi$
$38$	3.15890	+	4.47712i	0.512442	+	0.726284i
$39$	−1.25366	−	2.43105i	−0.200746	−	0.389280i
$40$	−1.47804	+	0.413136i	−0.233699	+	0.0653225i
$41$	1.60633	−	10.1420i	0.250867	−	1.58391i	−0.464763	−	0.885435i	$-0.653861\pi$
$41$	1.60633	−	10.1420i	0.250867	−	1.58391i	0.715631	−	0.698479i	$-0.246139\pi$
$42$	0.0375340	−	2.70666i	0.00579163	−	0.417646i
$43$	−4.95496			−0.755624			−0.377812	−	0.925882i	$-0.623323\pi$
$43$	−4.95496			−0.755624			−0.377812	+	0.925882i	$0.623323\pi$
$44$	2.70786	+	6.05537i	0.408225	+	0.912881i
$45$	−0.930210	+	0.930210i	−0.138668	+	0.138668i
$46$	5.03340	+	5.17496i	0.742134	+	0.763007i
$47$	0.509281	−	3.21548i	0.0742863	−	0.469025i	−0.922300	−	0.386474i	$-0.873693\pi$
$47$	0.509281	−	3.21548i	0.0742863	−	0.469025i	0.996587	−	0.0825517i	$-0.0263070\pi$
$48$	1.64480	+	2.55007i	0.237406	+	0.368071i
$49$	−0.603012	+	0.195930i	−0.0861445	+	0.0279901i
$50$	−1.13206	+	6.55771i	−0.160098	+	0.927400i
$51$	0.588421	+	0.427513i	0.0823954	+	0.0598638i
$52$	−1.29054	+	7.09468i	−0.178966	+	0.983855i
$53$	−4.49388	+	13.8308i	−0.617282	+	1.89980i	−0.261752	+	0.965135i	$0.584300\pi$
$53$	−4.49388	+	13.8308i	−0.617282	+	1.89980i	−0.355530	+	0.934665i	$0.615700\pi$
$54$	5.14827	+	2.71374i	0.700591	+	0.369293i
$55$	−1.79911	−	0.0413820i	−0.242592	−	0.00557994i
$56$	−4.43112	+	5.59400i	−0.592133	+	0.747530i
$57$	1.33441	+	2.61892i	0.176747	+	0.346885i
$58$	−0.0920556	−	0.638386i	−0.0120875	−	0.0838242i
$59$	−2.54615	+	0.403270i	−0.331480	+	0.0525013i	−0.319956	−	0.947432i	$-0.603668\pi$
$59$	−2.54615	+	0.403270i	−0.331480	+	0.0525013i	−0.0115239	+	0.999934i	$0.503668\pi$
$60$	−0.816378	+	0.106189i	−0.105394	+	0.0137089i
$61$	−1.69135	−	5.20545i	−0.216556	−	0.666490i	−0.999039	−	0.0438189i	$-0.986048\pi$
$61$	−1.69135	−	5.20545i	−0.216556	−	0.666490i	0.782484	−	0.622671i	$-0.213952\pi$
$62$	7.29346	+	2.48211i	0.926271	+	0.315229i
$63$	−0.956938	+	6.04187i	−0.120563	+	0.761204i
$64$	0.664821	−	7.97233i	0.0831026	−	0.996541i
$65$	−1.58832	−	1.14218i	−0.197006	−	0.141671i
$66$	0.974097	+	3.42234i	0.119903	+	0.421261i
$67$	−9.00133	−	9.00133i	−1.09969	−	1.09969i	−0.994447	−	0.105241i	$-0.966439\pi$
$67$	−9.00133	−	9.00133i	−1.09969	−	1.09969i	−0.105241	−	0.994447i	$-0.533561\pi$
$68$	−0.541740	−	1.83937i	−0.0656957	−	0.223056i
$69$	2.27622	+	3.13295i	0.274025	+	0.377163i
$70$	−0.854958	−	1.73708i	−0.102187	−	0.207621i
$71$	1.90091	−	3.73075i	0.225597	−	0.442758i	−0.750268	−	0.661134i	$-0.770076\pi$
$71$	1.90091	−	3.73075i	0.225597	−	0.442758i	0.975865	+	0.218375i	$0.0700756\pi$
$72$	−2.85644	−	6.23425i	−0.336634	−	0.734713i
$73$	0.870504	+	5.49614i	0.101885	+	0.643275i	0.984793	+	0.173730i	$0.0555820\pi$
$73$	0.870504	+	5.49614i	0.101885	+	0.643275i	−0.882909	+	0.469545i	$0.844418\pi$
$74$	−7.07527	+	9.45960i	−0.822483	+	1.09966i
$75$	−1.10312	+	3.39507i	−0.127378	+	0.392029i
$76$	1.42397	−	7.61701i	0.163340	−	0.873731i
$77$	−6.88127	+	4.76168i	−0.784194	+	0.542644i
$78$	−1.22838	+	3.66803i	−0.139086	+	0.415323i
$79$	13.7583	+	4.47034i	1.54793	+	0.502953i	0.953551	−	0.301233i	$-0.0973982\pi$
$79$	13.7583	+	4.47034i	1.54793	+	0.502953i	0.594378	+	0.804186i	$0.297398\pi$
$80$	1.87623	+	1.09102i	0.209769	+	0.121980i
$81$	−3.35871	−	2.44024i	−0.373190	−	0.271138i
$82$	−11.8656	+	8.37194i	−1.31033	+	0.924526i
$83$	6.30441	−	12.3731i	0.691999	−	1.35813i	−0.230859	−	0.972987i	$-0.574154\pi$
$83$	6.30441	−	12.3731i	0.691999	−	1.35813i	0.922859	−	0.385138i	$-0.125846\pi$
$84$	−2.78094	+	2.63081i	−0.303425	+	0.287045i
$85$	0.513806	+	0.0813788i	0.0557301	+	0.00882677i
$86$	4.88577	+	5.02318i	0.526847	+	0.541664i
$87$		−	0.345992i		−	0.0370942i
$88$	3.46870	−	8.71597i	0.369765	−	0.929125i
$89$	10.8323	+	10.8323i	1.14822	+	1.14822i	0.986902	+	0.161322i	$0.0515759\pi$
$89$	10.8323	+	10.8323i	1.14822	+	1.14822i	0.161322	+	0.986902i	$0.448424\pi$
$90$	1.86024	+	0.0257965i	0.196087	+	0.00271919i
$91$	−9.09700	+	0.0443673i	−0.953625	+	0.00465096i
$92$	0.283098	−	10.2054i	0.0295150	−	1.06399i
$93$	3.68234	+	1.87625i	0.381841	+	0.194558i
$94$	−3.76192	+	2.65429i	−0.388013	+	0.273769i
$95$	1.70078	+	1.23569i	0.174496	+	0.126779i
$96$	0.963352	−	4.18191i	0.0983217	−	0.426815i
$97$	−3.62977	−	7.12382i	−0.368547	−	0.723314i	0.630034	−	0.776568i	$-0.283041\pi$
$97$	−3.62977	−	7.12382i	−0.368547	−	0.723314i	−0.998581	+	0.0532532i	$0.983041\pi$
$98$	0.793221	+	0.418120i	0.0801274	+	0.0422365i
$99$	−1.07494	−	7.96894i	−0.108036	−	0.800908i
$100$	7.76427	−	5.31850i	0.776427	−	0.531850i
$101$	4.47868	+	1.45521i	0.445646	+	0.144799i	0.523239	−	0.852186i	$-0.324724\pi$
$101$	4.47868	+	1.45521i	0.445646	+	0.144799i	−0.0775933	+	0.996985i	$0.524724\pi$
$102$	−0.146806	−	1.01807i	−0.0145359	−	0.100804i
$103$	9.10917	+	6.61820i	0.897554	+	0.652111i	0.937836	−	0.347077i	$-0.112826\pi$
$103$	9.10917	+	6.61820i	0.897554	+	0.652111i	−0.0402829	+	0.999188i	$0.512826\pi$
$104$	8.46490	−	5.68731i	0.830051	−	0.557687i
$105$	−0.320936	−	0.987740i	−0.0313201	−	0.0963935i
$106$	18.4523	−	9.08188i	1.79225	−	0.882110i
$107$	1.51611	+	2.08674i	0.146568	+	0.201733i	0.875988	−	0.482332i	$-0.160210\pi$
$107$	1.51611	+	2.08674i	0.146568	+	0.201733i	−0.729421	+	0.684066i	$0.760210\pi$
$108$	−2.32528	−	7.89501i	−0.223750	−	0.759698i
$109$	5.87284	−	5.87284i	0.562516	−	0.562516i	−0.367505	−	0.930022i	$-0.619788\pi$
$109$	5.87284	−	5.87284i	0.562516	−	0.562516i	0.930022	+	0.367505i	$0.119788\pi$
$110$	1.73204	+	1.86469i	0.165143	+	0.177791i
$111$	−4.48077	+	4.48077i	−0.425296	+	0.425296i
$112$	10.0403	−	1.02376i	0.948717	−	0.0967361i
$113$	−13.7418	+	9.98398i	−1.29272	+	0.939214i	−0.999856	−	0.0169408i	$-0.994607\pi$
$113$	−13.7418	+	9.98398i	−1.29272	+	0.939214i	−0.292861	+	0.956155i	$0.594607\pi$
$114$	1.33921	−	3.93514i	0.125428	−	0.368560i
$115$	2.46789	+	1.25745i	0.230132	+	0.117258i
$116$	−0.556407	+	0.722796i	−0.0516611	+	0.0671100i
$117$	3.93057	−	7.80809i	0.363382	−	0.721858i
$118$	2.91942	+	2.18357i	0.268755	+	0.201014i
$119$	2.15534	−	1.09820i	0.197580	−	0.100672i
$120$	0.912630	+	0.722913i	0.0833114	+	0.0659926i
$121$	6.86797	−	8.59250i	0.624361	−	0.781136i
$122$	−3.60939	+	6.84742i	−0.326779	+	0.619936i
$123$	−6.94084	+	3.53654i	−0.625835	+	0.318879i
$124$	−4.67534	−	9.84135i	−0.419858	−	0.883779i
$125$	0.823817	+	5.20138i	0.0736844	+	0.465225i
$126$	7.06864	−	4.98740i	0.629725	−	0.444313i
$127$	−2.75475	−	8.47825i	−0.244444	−	0.752323i	−0.995727	−	0.0923423i	$-0.970565\pi$
$127$	−2.75475	−	8.47825i	−0.244444	−	0.752323i	0.751283	−	0.659980i	$-0.229435\pi$
$128$	−8.73764	+	7.18704i	−0.772306	+	0.635251i
$129$	2.20946	+	3.04106i	0.194532	+	0.267751i
$130$	0.408226	+	2.73642i	0.0358038	+	0.240000i
$131$			2.81689i			0.246113i	0.992400	+	0.123056i	$0.0392696\pi$
$131$			2.81689i			0.246113i	−0.992400	+	0.123056i	$0.960730\pi$
$132$	2.50897	−	4.36207i	0.218378	−	0.379670i
$133$	9.77565			0.847656
$134$	−0.249625	+	18.0009i	−0.0215643	+	1.55504i
$135$	2.20538	+	0.349297i	0.189809	+	0.0300627i
$136$	−1.33052	+	2.36289i	−0.114091	+	0.202616i
$137$	3.76823	−	7.39557i	0.321942	−	0.631846i	−0.672147	−	0.740418i	$-0.734628\pi$
$137$	3.76823	−	7.39557i	0.321942	−	0.631846i	0.994089	+	0.108571i	$0.0346276\pi$
$138$	0.931650	−	5.39677i	0.0793073	−	0.459404i
$139$	4.86330	−	6.69376i	0.412500	−	0.567757i	−0.551326	−	0.834290i	$-0.685878\pi$
$139$	4.86330	−	6.69376i	0.412500	−	0.567757i	0.963826	+	0.266532i	$0.0858780\pi$
$140$	−0.917980	+	2.57956i	−0.0775835	+	0.218012i
$141$	−2.20056	+	1.12124i	−0.185321	+	0.0944257i
$142$	−5.65649	+	1.75157i	−0.474682	+	0.146989i
$143$	11.4381	−	3.48863i	0.956500	−	0.291734i
$144$	−3.50353	+	9.04297i	−0.291961	+	0.753581i
$145$	−0.112347	−	0.220493i	−0.00932990	−	0.0183110i
$146$	4.71347	−	6.30190i	0.390090	−	0.521549i
$147$	0.389139	+	0.282726i	0.0320957	+	0.0233189i
$148$	16.5663	−	2.15483i	1.36174	−	0.177126i
$149$	−13.3327	−	6.79337i	−1.09226	−	0.556535i	−0.187418	−	0.982280i	$-0.560012\pi$
$149$	−13.3327	−	6.79337i	−1.09226	−	0.556535i	−0.904843	+	0.425745i	$0.860012\pi$
$150$	4.52954	−	2.22935i	0.369835	−	0.182026i
$151$	1.61532	−	10.1987i	0.131453	−	0.829962i	−0.830554	−	0.556938i	$-0.811976\pi$
$151$	1.61532	−	10.1987i	0.131453	−	0.829962i	0.962007	−	0.273024i	$-0.0880238\pi$
$152$	−9.12598	+	6.06708i	−0.740215	+	0.492106i
$153$			2.32446i			0.187922i
$154$	11.6124	+	2.28083i	0.935757	+	0.183794i
$155$	2.95591			0.237425
$156$	4.92977	−	2.37153i	0.394697	−	0.189874i
$157$	−9.18045	+	6.66998i	−0.732679	+	0.532323i	−0.890410	−	0.455159i	$-0.849582\pi$
$157$	−9.18045	+	6.66998i	−0.732679	+	0.532323i	0.157731	+	0.987482i	$0.449582\pi$
$158$	−9.03430	−	18.3557i	−0.718730	−	1.46030i
$159$	10.4924	−	3.40918i	0.832099	−	0.270365i
$160$	−0.743984	−	2.97785i	−0.0588171	−	0.235420i
$161$	12.7210	−	2.01480i	1.00255	−	0.158789i
$162$	0.837967	+	5.81113i	0.0658369	+	0.456565i
$163$	−9.72390	−	19.0842i	−0.761634	−	1.49479i	−0.865886	−	0.500241i	$-0.833245\pi$
$163$	−9.72390	−	19.0842i	−0.761634	−	1.49479i	0.104252	−	0.994551i	$-0.466755\pi$
$164$	20.1871	+	3.77389i	1.57635	+	0.294692i
$165$	0.776842	+	1.12264i	0.0604771	+	0.0873975i
$166$	−18.7599	+	5.80913i	−1.45605	+	0.450876i
$167$	5.41325	+	10.6241i	0.418890	+	0.822118i	0.999966	+	0.00826829i	$0.00263191\pi$
$167$	5.41325	+	10.6241i	0.418890	+	0.822118i	−0.581076	+	0.813849i	$0.697368\pi$
$168$	5.40915	+	0.225146i	0.417325	+	0.0173704i
$169$	12.4023	+	3.89643i	0.954025	+	0.299726i
$170$	−0.424133	−	0.601123i	−0.0325295	−	0.0461041i
$171$	−4.26462	+	8.36979i	−0.326124	+	0.640054i
$172$	0.274795	−	9.90610i	0.0209529	−	0.755333i
$173$	−1.23913	−	1.70551i	−0.0942092	−	0.129668i	0.759310	−	0.650729i	$-0.225536\pi$
$173$	−1.23913	−	1.70551i	−0.0942092	−	0.129668i	−0.853520	+	0.521061i	$0.825536\pi$
$174$	−0.350756	+	0.341161i	−0.0265907	+	0.0258633i
$175$	8.39520	+	8.39520i	0.634617	+	0.634617i
$176$	−12.2563	+	5.07781i	−0.923850	+	0.382754i
$177$	1.38286	+	1.38286i	0.103942	+	0.103942i
$178$	0.300402	−	21.6626i	0.0225160	−	1.62368i
$179$	4.37505	−	3.17866i	0.327007	−	0.237584i	−0.412153	−	0.911115i	$-0.635223\pi$
$179$	4.37505	−	3.17866i	0.327007	−	0.237584i	0.739159	+	0.673531i	$0.235223\pi$
$180$	−1.80812	−	1.91129i	−0.134769	−	0.142459i
$181$	−3.49347	+	1.13510i	−0.259667	+	0.0843711i	−0.435958	−	0.899967i	$-0.643590\pi$
$181$	−3.49347	+	1.13510i	−0.259667	+	0.0843711i	0.176290	+	0.984338i	$0.443590\pi$
$182$	9.01497	+	9.17852i	0.668234	+	0.680357i
$183$	−2.44061	+	3.35921i	−0.180415	+	0.248320i
$184$	−10.6251	+	9.77593i	−0.783292	+	0.720691i
$185$	−1.40055	+	4.31045i	−0.102970	+	0.316910i
$186$	−1.72885	−	5.58310i	−0.126765	−	0.409373i
$187$	−2.29956	+	2.19616i	−0.168161	+	0.160599i
$188$	6.40023	+	1.19650i	0.466785	+	0.0872635i
$189$	9.25122	−	4.71373i	0.672928	−	0.342874i
$190$	−0.424329	−	2.94263i	−0.0307841	−	0.213481i
$191$	5.17744	−	7.12613i	0.374626	−	0.515629i	−0.579525	−	0.814955i	$-0.696762\pi$
$191$	5.17744	−	7.12613i	0.374626	−	0.515629i	0.954151	+	0.299326i	$0.0967618\pi$
$192$	−5.18940	+	3.14691i	−0.374513	+	0.227109i
$193$	−2.29896	+	4.51196i	−0.165483	+	0.324778i	−0.958825	−	0.283998i	$-0.908339\pi$
$193$	−2.29896	+	4.51196i	−0.165483	+	0.324778i	0.793342	+	0.608776i	$0.208339\pi$
$194$	−3.64283	+	10.7041i	−0.261540	+	0.768510i
$195$	0.00723828	+	1.48413i	0.000518344	+	0.106280i
$196$	−0.358268	−	1.21643i	−0.0255906	−	0.0868875i
$197$	0.304623	−	0.304623i	0.0217035	−	0.0217035i	−0.696172	−	0.717875i	$-0.745115\pi$
$197$	0.304623	−	0.304623i	0.0217035	−	0.0217035i	0.717875	+	0.696172i	$0.245115\pi$
$198$	−7.01873	+	8.94742i	−0.498800	+	0.635865i
$199$	13.2848			0.941733			0.470867	−	0.882204i	$-0.343941\pi$
$199$	13.2848			0.941733			0.470867	+	0.882204i	$0.343941\pi$
$200$	−13.0476	−	2.62694i	−0.922604	−	0.185753i
$201$	−1.51071	+	9.53827i	−0.106558	+	0.672778i
$202$	−2.94090	−	5.97525i	−0.206921	−	0.420417i
$203$	−1.02530	−	0.522416i	−0.0719619	−	0.0366664i
$204$	−0.887330	+	1.15268i	−0.0621255	+	0.0807038i
$205$	−3.27490	+	4.50752i	−0.228729	+	0.314819i
$206$	−2.27266	−	15.7604i	−0.158343	−	1.09808i
$207$	−3.82446	+	11.7705i	−0.265818	+	0.818104i
$208$	−14.1123	−	2.97355i	−0.978514	−	0.206179i
$209$	−12.3094	+	3.68885i	−0.851456	+	0.255163i
$210$	−0.684885	+	1.29930i	−0.0472616	+	0.0896605i
$211$	5.73220	+	1.86251i	0.394621	+	0.128220i	0.499604	−	0.866254i	$-0.333479\pi$
$211$	5.73220	+	1.86251i	0.394621	+	0.128220i	−0.104983	+	0.994474i	$0.533479\pi$
$212$	−27.4016	−	9.75135i	−1.88195	−	0.669725i
$213$	−3.13735	+	0.496907i	−0.214968	+	0.0340475i
$214$	0.620538	−	3.59459i	0.0424191	−	0.245721i
$215$	2.39550	+	1.22057i	0.163372	+	0.0832422i
$216$	−5.71091	+	10.1421i	−0.388578	+	0.690081i
$217$	11.1200	−	8.07916i	0.754875	−	0.548449i
$218$	−11.7446	−	0.162865i	−0.795442	−	0.0110306i
$219$	2.98505	−	2.98505i	0.201711	−	0.201711i
$220$	0.182508	−	3.59454i	0.0123047	−	0.242344i
$221$	−3.41156	+	0.557408i	−0.229487	+	0.0374953i
$222$	8.96068	+	0.124260i	0.601401	+	0.00833982i
$223$	−22.1143	−	3.50256i	−1.48088	−	0.234549i	−0.636911	−	0.770937i	$-0.719788\pi$
$223$	−22.1143	−	3.50256i	−1.48088	−	0.234549i	−0.843971	+	0.536388i	$0.819788\pi$
$224$	−10.9380	−	9.16907i	−0.730823	−	0.612634i
$225$	−10.8503	+	3.52546i	−0.723351	+	0.235031i
$226$	23.6714	+	4.08641i	1.57460	+	0.271824i
$227$	3.86789	+	24.4209i	0.256721	+	1.62087i	0.692914	+	0.721020i	$0.256326\pi$
$227$	3.86789	+	24.4209i	0.256721	+	1.62087i	−0.436193	+	0.899853i	$0.643674\pi$
$228$	−5.30984	+	2.52255i	−0.351652	+	0.167060i
$229$	−1.22706	+	0.625219i	−0.0810865	+	0.0413156i	−0.494064	−	0.869426i	$-0.664489\pi$
$229$	−1.22706	+	0.625219i	−0.0810865	+	0.0413156i	0.412977	+	0.910741i	$0.364489\pi$
$230$	−1.15866	−	3.74176i	−0.0764000	−	0.246725i
$231$	5.99087	+	2.10004i	0.394170	+	0.138173i
$232$	1.28139	−	0.148636i	0.0841272	−	0.00975846i
$233$	15.4731	+	5.02750i	1.01367	+	0.329363i	0.768316	−	0.640070i	$-0.221095\pi$
$233$	15.4731	+	5.02750i	1.01367	+	0.329363i	0.245357	+	0.969433i	$0.421095\pi$
$234$	−11.7913	+	3.71438i	−0.770822	+	0.242817i
$235$	−1.03829	+	1.42909i	−0.0677308	+	0.0932235i
$236$	−0.665025	−	5.11270i	−0.0432894	−	0.332809i
$237$	−3.39132	−	10.4374i	−0.220290	−	0.677982i
$238$	−3.23857	−	1.10215i	−0.209925	−	0.0714418i
$239$	27.0100	+	4.27797i	1.74713	+	0.276719i	0.946563	−	0.322518i	$-0.104529\pi$
$239$	27.0100	+	4.27797i	1.74713	+	0.276719i	0.800571	+	0.599237i	$0.204529\pi$
$240$	−0.167021	−	1.63802i	−0.0107811	−	0.105734i
$241$	8.58039	+	8.58039i	0.552712	+	0.552712i	0.927223	−	0.374511i	$-0.122189\pi$
$241$	8.58039	+	8.58039i	0.552712	+	0.552712i	−0.374511	+	0.927223i	$0.622189\pi$
$242$	−15.4829	+	1.50999i	−0.995278	+	0.0970656i
$243$			15.4950i			0.994003i
$244$	10.5007	−	3.09272i	0.672238	−	0.197991i
$245$	0.339794	+	0.0538181i	0.0217086	+	0.00343831i
$246$	10.4292	+	3.54926i	0.664940	+	0.226293i
$247$	−13.3068	−	4.25201i	−0.846693	−	0.270549i
$248$	−5.36680	+	14.4437i	−0.340792	+	0.917173i
$249$	−10.4051	+	1.64800i	−0.659396	+	0.104438i
$250$	4.46068	−	5.96391i	0.282118	−	0.377191i
$251$	5.92074	−	18.2222i	0.373714	−	1.15017i	−0.570629	−	0.821208i	$-0.693300\pi$
$251$	5.92074	−	18.2222i	0.373714	−	1.15017i	0.944342	−	0.328964i	$-0.106700\pi$
$252$	−12.0260	−	2.24821i	−0.757568	−	0.141624i
$253$	−15.2577	+	7.33727i	−0.959246	+	0.461290i
$254$	−5.87870	+	11.1526i	−0.368863	+	0.699773i
$255$	−0.179165	−	0.351632i	−0.0112198	−	0.0220200i
$256$	15.9017	+	1.77126i	0.993853	+	0.110704i
$257$	1.80450	−	2.48368i	0.112561	−	0.154928i	−0.749019	−	0.662548i	$-0.769475\pi$
$257$	1.80450	−	2.48368i	0.112561	−	0.154928i	0.861581	+	0.507621i	$0.169475\pi$
$258$	0.904325	−	5.23849i	0.0563008	−	0.326134i
$259$	6.51259	+	20.0437i	0.404673	+	1.24545i
$260$	2.37158	−	3.11207i	0.147079	−	0.193002i
$261$	0.894571	−	0.649944i	0.0553726	−	0.0402305i
$262$	2.85568	−	2.77756i	0.176425	−	0.171598i
$263$			28.9132i			1.78286i	0.453156	+	0.891431i	$0.350298\pi$
$263$			28.9132i			1.78286i	−0.453156	+	0.891431i	$0.649702\pi$
$264$	−6.89608	+	1.75765i	−0.424424	+	0.108176i
$265$	5.57957	−	5.57957i	0.342750	−	0.342750i
$266$	−9.63916	−	9.91026i	−0.591015	−	0.607637i
$267$	1.81801	−	11.4785i	0.111261	−	0.702472i
$268$	18.4949	−	17.4965i	1.12976	−	1.06877i
$269$	0.560353	+	1.72459i	0.0341653	+	0.105150i	0.966685	−	0.255969i	$-0.0823946\pi$
$269$	0.560353	+	1.72459i	0.0341653	+	0.105150i	−0.932520	+	0.361120i	$0.882395\pi$
$270$	−1.82048	−	2.58016i	−0.110791	−	0.157024i
$271$	−0.181683	+	0.0287757i	−0.0110364	+	0.00174800i	−0.161950	−	0.986799i	$-0.551778\pi$
$271$	−0.181683	+	0.0287757i	−0.0110364	+	0.00174800i	0.150914	+	0.988547i	$0.451778\pi$
$272$	3.70737	−	0.981055i	0.224792	−	0.0594852i
$273$	4.08367	+	5.56343i	0.247155	+	0.336714i
$274$	−11.2130	+	3.47219i	−0.677404	+	0.209763i
$275$	−13.7390	−	7.40317i	−0.828496	−	0.446428i
$276$	−6.38973	+	4.37694i	−0.384616	+	0.263461i
$277$	−17.3922	−	5.65108i	−1.04500	−	0.339541i	−0.264295	−	0.964442i	$-0.585139\pi$
$277$	−17.3922	−	5.65108i	−1.04500	−	0.339541i	−0.780704	+	0.624901i	$0.785139\pi$
$278$	−11.5813	+	1.67003i	−0.694602	+	0.100162i
$279$	2.06618	+	13.0453i	0.123699	+	0.781004i
$280$	3.52024	−	1.61292i	0.210375	−	0.0963905i
$281$	8.92768	−	17.5216i	0.532581	−	1.04525i	−0.455344	−	0.890315i	$-0.650484\pi$
$281$	8.92768	−	17.5216i	0.532581	−	1.04525i	0.987925	−	0.154933i	$-0.0495161\pi$
$282$	3.30652	+	1.12528i	0.196901	+	0.0670093i
$283$	−20.9765	+	15.2403i	−1.24693	+	0.905944i	−0.998039	−	0.0625886i	$-0.980064\pi$
$283$	−20.9765	+	15.2403i	−1.24693	+	0.905944i	−0.248886	+	0.968533i	$0.580064\pi$
$284$	7.35321	+	4.00726i	0.436333	+	0.237787i
$285$		−	1.59484i		−	0.0944704i
$286$	−14.8150	−	8.15565i	−0.876032	−	0.482254i
$287$			25.9081i			1.52931i
$288$	12.6221	−	5.36494i	0.743765	−	0.316132i
$289$	−13.0096	+	9.45206i	−0.765273	+	0.556004i
$290$	−0.112751	+	0.331308i	−0.00662097	+	0.0194551i
$291$	−2.75364	+	5.40432i	−0.161421	+	0.316807i
$292$	−11.0363	+	1.43553i	−0.645853	+	0.0840080i
$293$	−1.79682	−	11.3447i	−0.104971	−	0.662763i	−0.982924	−	0.184015i	$-0.941091\pi$
$293$	−1.79682	−	11.3447i	−0.104971	−	0.662763i	0.877952	−	0.478748i	$-0.158909\pi$
$294$	−0.0970867	−	0.673276i	−0.00566221	−	0.0392663i
$295$	1.33029	+	0.432238i	0.0774525	+	0.0251658i
$296$	−18.5195	−	14.6697i	−1.07643	−	0.852659i
$297$	−9.87027	+	9.42642i	−0.572731	+	0.546977i
$298$	6.25968	+	20.2149i	0.362613	+	1.17102i
$299$	−18.1924	−	2.79051i	−1.05209	−	0.161379i
$300$	−6.72634	−	2.39369i	−0.388346	−	0.138199i
$301$	12.3479	−	1.95571i	0.711718	−	0.112725i
$302$	−11.9319	+	8.41878i	−0.686606	+	0.484446i
$303$	−1.10396	−	3.39765i	−0.0634210	−	0.195190i
$304$	15.1492	+	3.26927i	0.868866	+	0.187505i
$305$	−0.464580	+	2.93325i	−0.0266018	+	0.167957i
$306$	2.35647	−	2.29201i	0.134710	−	0.131025i
$307$	15.3638	−	15.3638i	0.876860	−	0.876860i	−0.116349	−	0.993208i	$-0.537119\pi$
$307$	15.3638	−	15.3638i	0.876860	−	0.876860i	0.993208	+	0.116349i	$0.0371190\pi$
$308$	−9.13808	−	14.0213i	−0.520690	−	0.798939i
$309$		−	8.54180i		−	0.485926i
$310$	−2.91464	−	2.99662i	−0.165541	−	0.170196i
$311$	17.9910	−	13.0712i	1.02017	−	0.741199i	0.0538548	−	0.998549i	$-0.482849\pi$
$311$	17.9910	−	13.0712i	1.02017	−	0.741199i	0.966318	+	0.257350i	$0.0828492\pi$
$312$	−7.26512	−	2.65923i	−0.411306	−	0.150549i
$313$	−6.58759	−	20.2745i	−0.372353	−	1.14598i	−0.945247	−	0.326355i	$-0.894180\pi$
$313$	−6.58759	−	20.2745i	−0.372353	−	1.14598i	0.572895	−	0.819629i	$-0.305820\pi$
$314$	15.8141	+	2.73000i	0.892441	+	0.154063i
$315$	1.95095	−	2.68525i	0.109924	−	0.151297i
$316$	−9.70026	+	27.2581i	−0.545682	+	1.53339i
$317$	−2.53377	−	4.97279i	−0.142310	−	0.279300i	0.808839	−	0.588030i	$-0.200096\pi$
$317$	−2.53377	−	4.97279i	−0.142310	−	0.279300i	−0.951150	+	0.308730i	$0.900096\pi$
$318$	−13.8020	−	7.27527i	−0.773978	−	0.407977i
$319$	1.48818	+	0.270921i	0.0833218	+	0.0151687i
$320$	−2.28526	+	3.69050i	−0.127750	+	0.206305i
$321$	0.604675	−	1.86100i	0.0337497	−	0.103871i
$322$	−14.5859	−	10.9094i	−0.812840	−	0.607960i
$323$	3.66891	−	0.581098i	0.204143	−	0.0323331i
$324$	5.06488	−	6.57950i	0.281382	−	0.365528i
$325$	−7.77615	−	15.0793i	−0.431343	−	0.836449i
$326$	−9.75888	+	28.6756i	−0.540494	+	1.58819i
$327$	−6.22317	−	0.985653i	−0.344142	−	0.0545067i
$328$	−16.0794	−	24.1863i	−0.887836	−	1.33546i
$329$			8.21405i			0.452855i
$330$	0.372104	−	1.89451i	0.0204837	−	0.104289i
$331$	0.688944	+	0.688944i	0.0378678	+	0.0378678i	0.725787	−	0.687919i	$-0.241476\pi$
$331$	0.688944	+	0.688944i	0.0378678	+	0.0378678i	−0.687919	+	0.725787i	$0.741476\pi$
$332$	24.3871	+	13.2902i	1.33841	+	0.729393i
$333$	−20.0023	−	3.16805i	−1.09612	−	0.173608i
$334$	5.43272	−	15.9636i	0.297265	−	0.873487i
$335$	2.13442	+	6.56908i	0.116616	+	0.358907i
$336$	−5.10538	−	5.70563i	−0.278521	−	0.311268i
$337$	−12.1898	+	16.7778i	−0.664022	+	0.913948i	−0.999606	−	0.0280626i	$-0.991066\pi$
$337$	−12.1898	+	16.7778i	−0.664022	+	0.913948i	0.335584	+	0.942010i	$0.391066\pi$
$338$	−8.27908	−	16.4151i	−0.450323	−	0.892866i
$339$	12.2552	+	3.98195i	0.665610	+	0.216270i
$340$	−0.191190	+	1.02270i	−0.0103687	+	0.0554639i
$341$	−10.9535	+	14.3693i	−0.593164	+	0.778141i
$342$	12.6901	−	3.92959i	0.686203	−	0.212488i
$343$	17.1620	−	8.74446i	0.926660	−	0.472157i
$344$	−10.3135	+	9.48921i	−0.556065	+	0.511624i
$345$	−0.328704	−	2.07535i	−0.0176968	−	0.111733i
$346$	−0.507171	+	2.93789i	−0.0272657	+	0.157942i
$347$	4.60758	−	1.49709i	0.247348	−	0.0803682i	−0.182719	−	0.983165i	$-0.558490\pi$
$347$	4.60758	−	1.49709i	0.247348	−	0.0803682i	0.430067	+	0.902797i	$0.358490\pi$
$348$	0.691717	+	0.0191882i	0.0370799	+	0.00102860i
$349$	3.26584	+	0.517259i	0.174817	+	0.0276882i	0.243229	−	0.969969i	$-0.421793\pi$
$349$	3.26584	+	0.517259i	0.174817	+	0.0276882i	−0.0684124	+	0.997657i	$0.521793\pi$
$350$	0.232815	−	16.7888i	0.0124445	−	0.897398i
$351$	−14.6432	+	2.39253i	−0.781599	+	0.127704i
$352$	17.2329	+	7.41811i	0.918515	+	0.395387i
$353$	16.0120	−	16.0120i	0.852233	−	0.852233i	−0.138175	−	0.990408i	$-0.544124\pi$
$353$	16.0120	−	16.0120i	0.852233	−	0.852233i	0.990408	+	0.138175i	$0.0441236\pi$
$354$	0.0383493	−	2.76544i	0.00203824	−	0.146982i
$355$	−1.83802	+	1.33540i	−0.0975517	+	0.0708755i
$356$	−22.2571	+	21.0556i	−1.17962	+	1.11594i
$357$	−1.63510	−	0.833123i	−0.0865385	−	0.0440936i
$358$	−7.53640	−	1.30101i	−0.398311	−	0.0687608i
$359$	6.62322	−	1.04901i	0.349560	−	0.0553649i	0.0208143	−	0.999783i	$-0.493374\pi$
$359$	6.62322	−	1.04901i	0.349560	−	0.0553649i	0.328746	+	0.944418i	$0.393374\pi$
$360$	−0.154740	+	3.71762i	−0.00815549	+	0.195936i
$361$	−3.79317	−	1.23247i	−0.199640	−	0.0648671i
$362$	4.59542	+	2.42232i	0.241530	+	0.127315i
$363$	−8.33606	−	0.383684i	−0.437530	−	0.0201382i
$364$	0.415806	−	18.1895i	0.0217942	−	0.953387i
$365$	0.933033	−	2.87158i	0.0488372	−	0.150305i
$366$	5.81201	−	0.838094i	0.303798	−	0.0438079i
$367$	−3.17614	+	4.37159i	−0.165793	+	0.228195i	−0.883828	−	0.467813i	$-0.845042\pi$
$367$	−3.17614	+	4.37159i	−0.165793	+	0.228195i	0.718034	+	0.696008i	$0.245042\pi$
$368$	20.3873	+	1.13196i	1.06276	+	0.0590073i
$369$	−22.1822	−	11.3024i	−1.15476	−	0.588379i
$370$	5.75080	−	2.83043i	0.298970	−	0.147147i
$371$	5.73989	−	36.2403i	0.298000	−	1.88150i
$372$	−3.95527	+	7.25780i	−0.205071	+	0.376299i
$373$	12.3267			0.638250			0.319125	−	0.947713i	$-0.396611\pi$
$373$	12.3267			0.638250			0.319125	+	0.947713i	$0.396611\pi$
$374$	4.49385	+	0.165735i	0.232372	+	0.00856996i
$375$	2.82495	−	2.82495i	0.145880	−	0.145880i
$376$	−5.09790	−	7.66816i	−0.262904	−	0.395455i
$377$	1.16843	+	1.15709i	0.0601771	+	0.0595930i
$378$	−13.9007	−	4.73069i	−0.714975	−	0.243321i
$379$	−10.7887	+	21.1740i	−0.554178	+	1.08764i	0.428712	+	0.903441i	$0.358967\pi$
$379$	−10.7887	+	21.1740i	−0.554178	+	1.08764i	−0.982890	+	0.184194i	$0.941033\pi$
$380$	−2.56475	+	3.33172i	−0.131569	+	0.170914i
$381$	−3.97508	+	5.47123i	−0.203650	+	0.280300i
$382$	−12.3294	+	1.77791i	−0.630827	+	0.0909655i
$383$	25.7544	−	13.1225i	1.31599	−	0.670528i	0.351880	−	0.936045i	$-0.385543\pi$
$383$	25.7544	−	13.1225i	1.31599	−	0.670528i	0.964106	+	0.265517i	$0.0855426\pi$
$384$	8.30718	+	2.15789i	0.423924	+	0.110119i
$385$	4.49976	−	0.606980i	0.229329	−	0.0309345i
$386$	6.84094	−	2.11835i	0.348195	−	0.107821i
$387$	−3.71229	+	11.4253i	−0.188706	+	0.580778i
$388$	14.4435	−	6.86167i	0.733256	−	0.348348i
$389$	3.00696	−	4.13873i	0.152459	−	0.209842i	−0.725955	−	0.687742i	$-0.758602\pi$
$389$	3.00696	−	4.13873i	0.152459	−	0.209842i	0.878414	+	0.477900i	$0.158602\pi$
$390$	1.49743	−	1.47074i	0.0758251	−	0.0744739i
$391$	4.65454	−	1.51235i	0.235390	−	0.0764829i
$392$	−0.879910	+	1.56264i	−0.0444422	+	0.0789254i
$393$	1.72884	−	1.25608i	0.0872086	−	0.0633608i
$394$	−0.609188	−	0.00844779i	−0.0306904	−	0.000425594i
$395$	−5.55034	−	5.55034i	−0.279268	−	0.279268i
$396$	15.9914	−	1.70711i	0.803596	−	0.0857857i
$397$	23.0256	+	23.0256i	1.15562	+	1.15562i	0.985407	+	0.170214i	$0.0544458\pi$
$397$	23.0256	+	23.0256i	1.15562	+	1.15562i	0.170214	+	0.985407i	$0.445554\pi$
$398$	−13.0993	−	13.4677i	−0.656608	−	0.675075i
$399$	−4.35905	−	5.99972i	−0.218226	−	0.300362i
$400$	10.2023	+	15.8175i	0.510116	+	0.790876i
$401$	−5.44685	+	10.6901i	−0.272003	+	0.533836i	−0.986088	−	0.166223i	$-0.946843\pi$
$401$	−5.44685	+	10.6901i	−0.272003	+	0.533836i	0.714085	+	0.700059i	$0.246843\pi$
$402$	11.1592	−	7.87358i	0.556572	−	0.392699i
$403$	−18.6509	+	6.16077i	−0.929067	+	0.306890i
$404$	−3.15769	+	8.87322i	−0.157101	+	0.441459i
$405$	1.02268	+	2.00711i	0.0508171	+	0.0997342i
$406$	0.481374	+	1.55454i	0.0238902	+	0.0771504i
$407$	−15.7641	−	22.7812i	−0.781396	−	1.12922i
$408$	2.04349	−	0.237038i	0.101168	−	0.0117351i
$409$	13.9789	+	27.4350i	0.691210	+	1.35658i	0.923375	+	0.383899i	$0.125419\pi$
$409$	13.9789	+	27.4350i	0.691210	+	1.35658i	−0.232165	+	0.972676i	$0.574581\pi$
$410$	7.79877	−	1.12459i	0.385154	−	0.0555393i
$411$	−6.21926	+	0.985034i	−0.306773	+	0.0485881i
$412$	−13.7365	+	17.8443i	−0.676749	+	0.879126i
$413$	6.18589	−	2.00992i	0.304388	−	0.0989015i
$414$	15.7036	−	7.72901i	0.771790	−	0.379860i
$415$	−6.09582	+	4.42887i	−0.299232	+	0.217405i
$416$	10.9008	+	17.2387i	0.534456	+	0.845197i
$417$	−6.27683			−0.307378
$418$	15.8771	+	8.84151i	0.776576	+	0.432452i
$419$		−	18.5141i		−	0.904475i	−0.891898	−	0.452238i	$-0.850626\pi$
$419$		−	18.5141i		−	0.904475i	0.891898	−	0.452238i	$-0.149374\pi$
$420$	1.99252	−	0.586847i	0.0972249	−	0.0286352i
$421$	−5.07989	+	32.0732i	−0.247579	+	1.56315i	0.480089	+	0.877220i	$0.340604\pi$
$421$	−5.07989	+	32.0732i	−0.247579	+	1.56315i	−0.727667	+	0.685930i	$0.759396\pi$
$422$	−3.76402	−	7.64764i	−0.183230	−	0.372281i
$423$	−7.03276	−	3.58337i	−0.341945	−	0.174229i
$424$	17.1334	+	37.3942i	0.832073	+	1.81602i
$425$	3.64984	+	2.65177i	0.177043	+	0.128630i
$426$	3.59730	+	2.69058i	0.174290	+	0.130359i
$427$	6.26947	+	12.3045i	0.303401	+	0.595458i
$428$	−4.25597	+	2.91532i	−0.205720	+	0.140917i
$429$	−7.24146	−	5.46441i	−0.349621	−	0.263824i
$430$	−1.12468	−	3.63202i	−0.0542369	−	0.175152i
$431$	−12.4145	+	6.32548i	−0.597983	+	0.304688i	−0.726658	−	0.686999i	$-0.758928\pi$
$431$	−12.4145	+	6.32548i	−0.597983	+	0.304688i	0.128675	+	0.991687i	$0.458928\pi$
$432$	15.9129	−	4.21092i	0.765610	−	0.202598i
$433$	18.8400	−	25.9310i	0.905392	−	1.24617i	−0.0633236	−	0.997993i	$-0.520170\pi$
$433$	18.8400	−	25.9310i	0.905392	−	1.24617i	0.968716	−	0.248173i	$-0.0798300\pi$
$434$	−19.1551	−	3.30677i	−0.919477	−	0.158730i
$435$	−0.0852293	+	0.167272i	−0.00408643	+	0.00802007i
$436$	11.4155	+	12.0669i	0.546702	+	0.577898i
$437$	19.5345	+	3.09396i	0.934461	+	0.148004i
$438$	−5.96952	−	0.0827812i	−0.285235	−	0.00395544i
$439$	11.7244			0.559575			0.279788	−	0.960062i	$-0.409736\pi$
$439$	11.7244			0.559575			0.279788	+	0.960062i	$0.409736\pi$
$440$	−3.82400	+	3.35933i	−0.182302	+	0.160150i
$441$			1.53723i			0.0732015i
$442$	3.92901	+	2.90892i	0.186884	+	0.138363i
$443$	−1.15955	−	1.59599i	−0.0550920	−	0.0758277i	0.780582	−	0.625053i	$-0.214923\pi$
$443$	−1.15955	−	1.59599i	−0.0550920	−	0.0758277i	−0.835674	+	0.549226i	$0.814923\pi$
$444$	−8.70960	−	9.20659i	−0.413339	−	0.436925i
$445$	−2.56859	−	7.90532i	−0.121763	−	0.374748i
$446$	18.2547	+	25.8725i	0.864387	+	1.22510i
$447$	1.77582	+	11.2121i	0.0839934	+	0.530314i
$448$	1.48991	+	20.1296i	0.0703916	+	0.951035i
$449$	21.0794	−	10.7405i	0.994799	−	0.506876i	0.120734	−	0.992685i	$-0.461475\pi$
$449$	21.0794	−	10.7405i	0.994799	−	0.506876i	0.874065	+	0.485809i	$0.161475\pi$
$450$	14.2728	+	7.52343i	0.672825	+	0.354658i
$451$	−9.77644	−	32.6231i	−0.460355	−	1.53616i
$452$	−19.1982	−	28.0267i	−0.903007	−	1.31826i
$453$	−6.97968	+	3.55632i	−0.327934	+	0.167091i
$454$	20.9433	−	28.0011i	0.982918	−	1.31416i
$455$	4.40893	+	2.21945i	0.206694	+	0.104049i
$456$	7.79298	+	2.89562i	0.364940	+	0.135600i
$457$	−10.6043	−	5.40316i	−0.496048	−	0.252749i	0.188023	−	0.982165i	$-0.439792\pi$
$457$	−10.6043	−	5.40316i	−0.496048	−	0.252749i	−0.684071	+	0.729416i	$0.739792\pi$
$458$	1.84376	+	0.627468i	0.0861531	+	0.0293197i
$459$	3.19188	−	2.31904i	0.148984	−	0.108243i
$460$	−2.65080	+	4.86414i	−0.123594	+	0.226792i
$461$	3.37105	−	3.37105i	0.157005	−	0.157005i	−0.624233	−	0.781238i	$-0.714588\pi$
$461$	3.37105	−	3.37105i	0.157005	−	0.157005i	0.781238	+	0.624233i	$0.214588\pi$
$462$	−3.77826	−	8.14408i	−0.175781	−	0.378897i
$463$	−6.61912	+	6.61912i	−0.307617	+	0.307617i	−0.843984	−	0.536368i	$-0.819796\pi$
$463$	−6.61912	+	6.61912i	−0.307617	+	0.307617i	0.536368	+	0.843984i	$0.319796\pi$
$464$	−1.41418	−	1.15247i	−0.0656516	−	0.0535021i
$465$	−1.31807	−	1.81417i	−0.0611240	−	0.0841300i
$466$	−10.1603	−	20.6434i	−0.470666	−	0.956288i
$467$	3.42046	+	10.5271i	0.158280	+	0.487135i	0.998478	−	0.0551436i	$-0.0175617\pi$
$467$	3.42046	+	10.5271i	0.158280	+	0.487135i	−0.840199	+	0.542279i	$0.817562\pi$
$468$	15.3922	+	8.29115i	0.711505	+	0.383259i
$469$	25.9843	+	18.8787i	1.19984	+	0.871738i
$470$	2.47256	−	0.356545i	0.114051	−	0.0164462i
$471$	8.18729	+	2.66021i	0.377251	+	0.122576i
$472$	−4.52737	+	5.71550i	−0.208389	+	0.263077i
$473$	−14.8102	+	7.12207i	−0.680976	+	0.327473i
$474$	−7.23716	+	13.7297i	−0.332414	+	0.630626i
$475$	8.27703	+	16.2446i	0.379776	+	0.745353i
$476$	2.07602	+	4.36992i	0.0951543	+	0.200295i
$477$	28.5244	+	20.7242i	1.30604	+	0.948896i
$478$	−22.2961	−	31.6002i	−1.01980	−	1.44536i
$479$	7.49939	+	3.82113i	0.342656	+	0.174592i	0.616846	−	0.787084i	$-0.288410\pi$
$479$	7.49939	+	3.82113i	0.342656	+	0.174592i	−0.274191	+	0.961675i	$0.588410\pi$
$480$	−1.49588	+	1.78447i	−0.0682774	+	0.0814494i
$481$	−0.146883	−	30.1166i	−0.00669728	−	1.37320i
$482$	0.237951	−	17.1591i	0.0108384	−	0.781577i
$483$	−6.90896	−	6.90896i	−0.314369	−	0.314369i
$484$	16.7975	+	14.2072i	0.763523	+	0.645781i
$485$			4.33819i			0.196987i
$486$	15.7083	−	15.2786i	0.712545	−	0.693053i
$487$	−27.7136	−	4.38940i	−1.25582	−	0.198903i	−0.507158	−	0.861853i	$-0.669304\pi$
$487$	−27.7136	−	4.38940i	−1.25582	−	0.198903i	−0.748663	+	0.662951i	$0.769304\pi$
$488$	−13.4894	−	7.59575i	−0.610636	−	0.343844i
$489$	−7.37680	+	14.4778i	−0.333591	+	0.654709i
$490$	−0.280491	−	0.397540i	−0.0126713	−	0.0179590i
$491$	−29.5432	−	21.4644i	−1.33327	−	0.968676i	−0.999663	−	0.0259629i	$-0.991735\pi$
$491$	−29.5432	−	21.4644i	−1.33327	−	0.968676i	−0.333605	−	0.942713i	$-0.608265\pi$
$492$	−6.68543	−	14.0725i	−0.301402	−	0.634437i
$493$	−0.415860	−	0.135121i	−0.0187294	−	0.00608554i
$494$	8.81047	+	17.6827i	0.396402	+	0.795582i
$495$	−1.44333	+	4.11743i	−0.0648727	+	0.185065i
$496$	19.9344	−	8.80129i	0.895082	−	0.395190i
$497$	−3.26460	+	10.0474i	−0.146437	+	0.450687i
$498$	11.9305	+	8.92337i	0.534619	+	0.399866i
$499$	−3.92962	−	24.8107i	−0.175914	−	1.11068i	−0.904735	−	0.425974i	$-0.859931\pi$
$499$	−3.92962	−	24.8107i	−0.175914	−	1.11068i	0.728821	−	0.684704i	$-0.240069\pi$
$500$	−10.4444	+	1.35854i	−0.467090	+	0.0607557i
$501$	4.10663	−	8.05972i	0.183471	−	0.360082i
$502$	−24.3111	+	11.9655i	−1.08506	+	0.534045i
$503$	16.5963	+	22.8429i	0.739993	+	1.01851i	0.998619	+	0.0525352i	$0.0167302\pi$
$503$	16.5963	+	22.8429i	0.739993	+	1.01851i	−0.258626	+	0.965977i	$0.583270\pi$
$504$	9.57894	+	14.4084i	0.426680	+	0.641803i
$505$	−1.80678	−	1.80678i	−0.0804007	−	0.0804007i
$506$	22.4830	+	8.23302i	0.999492	+	0.366002i
$507$	−3.13891	−	9.34928i	−0.139404	−	0.415216i
$508$	17.1027	−	5.03719i	0.758812	−	0.223489i
$509$	−0.629653	+	3.97547i	−0.0279089	+	0.176210i	−0.997705	−	0.0677059i	$-0.978432\pi$
$509$	−0.629653	+	3.97547i	−0.0279089	+	0.176210i	0.969796	+	0.243916i	$0.0784320\pi$
$510$	−0.179810	+	0.528354i	−0.00796211	+	0.0233959i
$511$	−4.33863	−	13.3529i	−0.191930	−	0.590698i
$512$	−13.8840	−	17.8672i	−0.613591	−	0.789624i
$513$	15.7478	−	2.49421i	0.695283	−	0.110122i
$514$	−4.29718	+	0.619655i	−0.189541	+	0.0273318i
$515$	−2.77360	−	5.44350i	−0.122220	−	0.239869i
$516$	−6.20232	+	4.24857i	−0.273042	+	0.187033i
$517$	−3.09958	−	10.3430i	−0.136319	−	0.454885i
$518$	13.8980	−	26.3661i	0.610644	−	1.15846i
$519$	−0.494206	+	1.52101i	−0.0216932	+	0.0667649i
$520$	−5.49338	+	0.664381i	−0.240901	+	0.0291350i
$521$	−16.5829	−	12.0482i	−0.726509	−	0.527840i	0.161948	−	0.986799i	$-0.448222\pi$
$521$	−16.5829	−	12.0482i	−0.726509	−	0.527840i	−0.888457	+	0.458959i	$0.848222\pi$
$522$	−1.54097	−	0.266020i	−0.0674466	−	0.0116434i
$523$	39.3140	−	12.7739i	1.71908	−	0.558563i	0.727277	−	0.686344i	$-0.240785\pi$
$523$	39.3140	−	12.7739i	1.71908	−	0.558563i	0.991802	+	0.127781i	$0.0407855\pi$
$524$	−5.63162	−	0.156221i	−0.246018	−	0.00682454i
$525$	1.40898	−	8.89598i	0.0614931	−	0.388252i
$526$	29.3113	−	28.5095i	1.27803	−	1.24307i
$527$	3.69320	−	3.69320i	0.160878	−	0.160878i
$528$	8.58164	+	5.25793i	0.373468	+	0.228822i
$529$	3.05768			0.132943
$530$	−11.1581	−	0.154732i	−0.484676	−	0.00672115i
$531$	−0.977723	+	6.17310i	−0.0424296	+	0.267890i
$532$	−0.542144	+	19.5438i	−0.0235049	+	0.847331i
$533$	11.2690	−	35.2666i	0.488113	−	1.52757i
$534$	−13.4292	+	9.47517i	−0.581137	+	0.410031i
$535$	−0.218938	−	1.38232i	−0.00946550	−	0.0597628i
$536$	−35.9742	−	1.49736i	−1.55385	−	0.0646763i
$537$	−3.90175	−	1.26776i	−0.168373	−	0.0547077i
$538$	1.19581	−	2.26858i	0.0515549	−	0.0978054i
$539$	−1.52076	+	1.45238i	−0.0655040	+	0.0625584i
$540$	−0.820633	+	4.38969i	−0.0353144	+	0.188902i
$541$	11.5272	−	5.87339i	0.495592	−	0.252517i	−0.188285	−	0.982115i	$-0.560293\pi$
$541$	11.5272	−	5.87339i	0.495592	−	0.252517i	0.683876	+	0.729598i	$0.260293\pi$
$542$	0.208318	+	0.155811i	0.00894803	+	0.00669264i
$543$	2.25443	+	1.63794i	0.0967467	+	0.0702906i
$544$	−4.65017	−	2.79106i	−0.199374	−	0.119666i
$545$	−4.28594	+	1.39259i	−0.183590	+	0.0596519i
$546$	1.61338	−	9.62565i	0.0690463	−	0.411940i
$547$	−6.68765	−	9.20476i	−0.285943	−	0.393567i	0.641748	−	0.766916i	$-0.278210\pi$
$547$	−6.68765	−	9.20476i	−0.285943	−	0.393567i	−0.927691	+	0.373349i	$0.878210\pi$
$548$	14.5765	+	7.94371i	0.622676	+	0.339339i
$549$	−13.2700			−0.566351
$550$	6.04211	+	21.2280i	0.257636	+	0.905167i
$551$	−1.24950	−	1.24950i	−0.0532305	−	0.0532305i
$552$	10.7377	+	2.16188i	0.457028	+	0.0920157i
$553$	−36.0504	−	5.70982i	−1.53302	−	0.242806i
$554$	11.4205	+	23.2039i	0.485211	+	0.985840i
$555$	3.27002	−	1.06249i	0.138805	−	0.0451003i
$556$	13.1127	+	10.0941i	0.556101	+	0.428085i
$557$	1.10535	+	6.97890i	0.0468351	+	0.295705i	0.999977	−	0.00681912i	$-0.00217061\pi$
$557$	1.10535	+	6.97890i	0.0468351	+	0.295705i	−0.953142	+	0.302524i	$0.902171\pi$
$558$	11.1876	−	14.9578i	0.473610	−	0.633215i
$559$	−17.6588	−	2.70866i	−0.746888	−	0.114564i
$560$	−5.10622	−	1.97831i	−0.215777	−	0.0835990i
$561$	2.37327	+	0.432051i	0.100200	+	0.0182412i
$562$	−26.5659	+	8.22631i	−1.12061	+	0.347006i
$563$	8.71929	−	26.8352i	0.367474	−	1.13097i	−0.580943	−	0.813944i	$-0.697316\pi$
$563$	8.71929	−	26.8352i	0.367474	−	1.13097i	0.948417	−	0.317025i	$-0.102684\pi$
$564$	−2.11958	−	4.46162i	−0.0892506	−	0.187868i
$565$	9.10294	−	1.44176i	0.382963	−	0.0606554i
$566$	36.1339	+	6.23782i	1.51882	+	0.262195i
$567$	9.33313	+	4.75547i	0.391955	+	0.199711i
$568$	−3.18810	−	11.4058i	−0.133770	−	0.478576i
$569$	−11.0118	−	15.1565i	−0.461640	−	0.635393i	0.513208	−	0.858264i	$-0.328457\pi$
$569$	−11.0118	−	15.1565i	−0.461640	−	0.635393i	−0.974848	+	0.222871i	$0.928457\pi$
$570$	−1.61680	+	1.57258i	−0.0677205	+	0.0658680i
$571$	−28.5459			−1.19461			−0.597305	−	0.802014i	$-0.703762\pi$
$571$	−28.5459			−1.19461			−0.597305	+	0.802014i	$0.703762\pi$
$572$	6.34024	+	23.0608i	0.265099	+	0.964221i
$573$	−6.68227			−0.279156
$574$	26.2648	−	25.5464i	1.09627	−	1.06628i
$575$	14.1189	+	19.4330i	0.588799	+	0.810412i
$576$	−17.8847	−	7.50589i	−0.745195	−	0.312745i
$577$	31.3220	+	15.9594i	1.30395	+	0.664397i	0.961414	−	0.275107i	$-0.0887132\pi$
$577$	31.3220	+	15.9594i	1.30395	+	0.664397i	0.342539	+	0.939504i	$0.388713\pi$
$578$	22.4102	+	3.86870i	0.932142	+	0.160917i
$579$	3.79430	−	0.600958i	0.157686	−	0.0249750i
$580$	0.447047	−	0.212379i	0.0185626	−	0.00881856i
$581$	−10.8271	+	33.3224i	−0.449184	+	1.38245i
$582$	8.19393	−	2.53731i	0.339649	−	0.105175i
$583$	6.44771	+	47.7991i	0.267037	+	1.97964i
$584$	12.3375	+	9.77282i	0.510531	+	0.404402i
$585$	−3.82365	+	2.80664i	−0.158089	+	0.116040i
$586$	−9.72916	+	13.0078i	−0.401908	+	0.537349i
$587$	−3.06547	−	19.3546i	−0.126526	−	0.798851i	−0.966583	−	0.256354i	$-0.917479\pi$
$587$	−3.06547	−	19.3546i	−0.126526	−	0.798851i	0.840057	−	0.542498i	$-0.182521\pi$
$588$	−0.586816	+	0.762300i	−0.0241999	+	0.0314367i
$589$	20.0741	−	6.52246i	0.827138	−	0.268753i
$590$	−0.873527	−	1.77481i	−0.0359626	−	0.0730678i
$591$	−0.322794	−	0.0511256i	−0.0132780	−	0.00210303i
$592$	3.38926	+	33.2394i	0.139298	+	1.36613i
$593$	0.668795	+	0.668795i	0.0274641	+	0.0274641i	0.720705	−	0.693241i	$-0.243818\pi$
$593$	0.668795	+	0.668795i	0.0274641	+	0.0274641i	−0.693241	+	0.720705i	$0.743818\pi$
$594$	19.2887	+	0.711375i	0.791424	+	0.0291881i
$595$	−1.31253			−0.0538087
$596$	14.3209	−	26.2785i	0.586608	−	1.07641i
$597$	−5.92381	−	8.15342i	−0.242445	−	0.333697i
$598$	15.1094	+	21.1944i	0.617871	+	0.866705i
$599$	17.7109	−	5.75463i	0.723650	−	0.235128i	0.0760448	−	0.997104i	$-0.475771\pi$
$599$	17.7109	−	5.75463i	0.723650	−	0.235128i	0.647605	+	0.761976i	$0.275771\pi$
$600$	4.20578	+	9.17923i	0.171700	+	0.374740i
$601$	−8.86363	−	6.43980i	−0.361555	−	0.262685i	0.392145	−	0.919903i	$-0.371733\pi$
$601$	−8.86363	−	6.43980i	−0.361555	−	0.262685i	−0.753700	+	0.657218i	$0.771733\pi$
$602$	−14.1581	−	10.5895i	−0.577041	−	0.431595i
$603$	−27.4994	+	14.0116i	−1.11986	+	0.570597i
$604$	20.3000	+	3.79501i	0.825997	+	0.154417i
$605$	−5.43698	+	2.46229i	−0.221045	+	0.100106i
$606$	−2.35588	+	4.46937i	−0.0957012	+	0.181556i
$607$	−12.0504	−	3.91543i	−0.489113	−	0.158922i	0.0540696	−	0.998537i	$-0.482781\pi$
$607$	−12.0504	−	3.91543i	−0.489113	−	0.158922i	−0.543182	+	0.839615i	$0.682781\pi$
$608$	−11.6234	−	18.5814i	−0.471391	−	0.753576i
$609$	0.136562	+	0.862218i	0.00553377	+	0.0349389i
$610$	3.43173	−	2.42131i	0.138947	−	0.0980361i
$611$	3.57278	−	11.1811i	0.144539	−	0.452340i
$612$	−4.64714	−	0.128911i	−0.187849	−	0.00521093i
$613$	4.39023	−	27.7188i	0.177320	−	1.11955i	−0.725084	−	0.688660i	$-0.758199\pi$
$613$	4.39023	−	27.7188i	0.177320	−	1.11955i	0.902404	−	0.430892i	$-0.141801\pi$
$614$	−30.7247	−	0.426069i	−1.23995	−	0.0171947i
$615$	4.22676			0.170440
$616$	−5.20391	+	23.0895i	−0.209671	+	0.930301i
$617$	19.6312	−	19.6312i	0.790323	−	0.790323i	−0.191223	−	0.981547i	$-0.561245\pi$
$617$	19.6312	−	19.6312i	0.790323	−	0.790323i	0.981547	+	0.191223i	$0.0612454\pi$
$618$	−8.65942	+	8.42254i	−0.348333	+	0.338804i
$619$	3.32521	−	20.9946i	0.133652	−	0.843843i	−0.826209	−	0.563364i	$-0.809507\pi$
$619$	3.32521	−	20.9946i	0.133652	−	0.843843i	0.959860	−	0.280479i	$-0.0904933\pi$
$620$	−0.163931	+	5.90956i	−0.00658362	+	0.237333i
$621$	19.9784	−	6.49138i	0.801706	−	0.260490i
$622$	−30.9909	−	5.34999i	−1.24262	−	0.214515i
$623$	−31.2699	−	22.7189i	−1.25280	−	0.910213i
$624$	4.46783	+	9.98726i	0.178856	+	0.399810i
$625$	−6.38754	+	19.6588i	−0.255502	+	0.786354i
$626$	−14.0581	+	26.6697i	−0.561874	+	1.06594i
$627$	7.75286	+	5.90987i	0.309619	+	0.236018i
$628$	−12.8257	−	18.7237i	−0.511801	−	0.747159i
$629$	3.63571	+	7.13548i	0.144965	+	0.284510i
$630$	−4.64594	+	0.669947i	−0.185099	+	0.0266913i
$631$	11.9479	−	1.89236i	0.475638	−	0.0753337i	0.0859871	−	0.996296i	$-0.472596\pi$
$631$	11.9479	−	1.89236i	0.475638	−	0.0753337i	0.389651	+	0.920963i	$0.372596\pi$
$632$	37.1982	−	17.0437i	1.47967	−	0.677961i
$633$	−1.41295	−	4.34860i	−0.0561596	−	0.172841i
$634$	−2.54288	+	7.47202i	−0.100991	+	0.296752i
$635$	−0.756673	+	4.77745i	−0.0300277	+	0.189587i
$636$	6.23384	+	21.1657i	0.247188	+	0.839276i
$637$	−2.25616	+	0.368629i	−0.0893924	+	0.0146056i
$638$	−1.19275	−	1.77581i	−0.0472213	−	0.0703048i
$639$	−7.17827	−	7.17827i	−0.283968	−	0.283968i
$640$	5.99468	−	1.32225i	0.236960	−	0.0522665i
$641$	6.56692	+	9.03858i	0.259378	+	0.357003i	0.918768	−	0.394798i	$-0.129185\pi$
$641$	6.56692	+	9.03858i	0.259378	+	0.357003i	−0.659390	+	0.751801i	$0.729185\pi$
$642$	−2.48286	+	1.22201i	−0.0979905	+	0.0482290i
$643$	10.3084	−	20.2313i	0.406523	−	0.797846i	−0.593453	−	0.804869i	$-0.702236\pi$
$643$	10.3084	−	20.2313i	0.406523	−	0.797846i	0.999975	+	0.00702332i	$0.00223561\pi$
$644$	3.32257	+	25.5439i	0.130927	+	1.00657i
$645$	−0.319063	−	2.01448i	−0.0125631	−	0.0793203i
$646$	−4.20678	−	3.14644i	−0.165514	−	0.123795i
$647$	3.01710	−	9.28568i	0.118614	−	0.365058i	−0.874069	−	0.485801i	$-0.838528\pi$
$647$	3.01710	−	9.28568i	0.118614	−	0.365058i	0.992684	+	0.120744i	$0.0385279\pi$
$648$	−11.6643	+	1.35301i	−0.458215	+	0.0531514i
$649$	−7.03073	+	4.86511i	−0.275980	+	0.190972i
$650$	−7.61935	+	22.7520i	−0.298856	+	0.892406i
$651$	−9.91703	−	3.22224i	−0.388679	−	0.126289i
$652$	38.6930	−	18.3819i	1.51534	−	0.719892i
$653$	30.6776	+	22.2886i	1.20051	+	0.872220i	0.994335	−	0.106295i	$-0.0338989\pi$
$653$	30.6776	+	22.2886i	1.20051	+	0.872220i	0.206174	+	0.978515i	$0.433899\pi$
$654$	5.13705	+	7.28075i	0.200875	+	0.284700i
$655$	0.693894	−	1.36184i	0.0271127	−	0.0532117i
$656$	−8.66443	+	40.1494i	−0.338289	+	1.56757i
$657$	13.3253	+	2.11052i	0.519870	+	0.0823394i
$658$	8.32715	−	8.09936i	0.324626	−	0.315746i
$659$			14.0944i			0.549040i	0.961581	+	0.274520i	$0.0885190\pi$
$659$			14.0944i			0.549040i	−0.961581	+	0.274520i	$0.911481\pi$
$660$	−2.28750	+	1.49083i	−0.0890409	+	0.0580304i
$661$	−31.4053	−	31.4053i	−1.22153	−	1.22153i	−0.967089	−	0.254437i	$-0.918110\pi$
$661$	−31.4053	−	31.4053i	−1.22153	−	1.22153i	−0.254437	−	0.967089i	$-0.581890\pi$
$662$	0.0191058	−	1.37776i	0.000742567	−	0.0535480i
$663$	1.86335	+	1.84527i	0.0723666	+	0.0716642i
$664$	−10.5734	−	37.8275i	−0.410327	−	1.46799i
$665$	−4.72610	−	2.40807i	−0.183270	−	0.0933809i
$666$	16.5113	+	23.4015i	0.639801	+	0.906790i
$667$	−1.88349	−	1.36844i	−0.0729290	−	0.0529860i
$668$	−21.5402	+	10.2331i	−0.833417	+	0.395932i
$669$	7.71131	+	15.1343i	0.298136	+	0.585125i
$670$	4.55491	−	8.64118i	0.175972	−	0.333838i
$671$	−12.5375	−	13.1279i	−0.484007	−	0.506796i
$672$	−0.750103	+	10.8016i	−0.0289359	+	0.416683i
$673$	−2.00993	−	0.653065i	−0.0774771	−	0.0251738i	0.270022	−	0.962854i	$-0.412969\pi$
$673$	−2.00993	−	0.653065i	−0.0774771	−	0.0251738i	−0.347499	+	0.937680i	$0.612969\pi$
$674$	29.0285	−	4.18592i	1.11814	−	0.161236i
$675$	15.6660	+	11.3820i	0.602985	+	0.438094i
$676$	−8.47769	+	24.5790i	−0.326065	+	0.945347i
$677$	−8.86487	−	27.2833i	−0.340705	−	1.04858i	−0.963843	−	0.266470i	$-0.914143\pi$
$677$	−8.86487	−	27.2833i	−0.340705	−	1.04858i	0.623138	−	0.782112i	$-0.285857\pi$
$678$	−8.04729	−	16.3503i	−0.309054	−	0.627929i
$679$	11.8572	+	16.3201i	0.455038	+	0.626306i
$680$	1.22531	−	0.814601i	0.0469884	−	0.0312385i
$681$	13.2634	−	13.2634i	0.508255	−	0.508255i
$682$	25.3677	−	3.06438i	0.971379	−	0.117341i
$683$	−10.5499	+	10.5499i	−0.403682	+	0.403682i	−0.879528	−	0.475846i	$-0.842142\pi$
$683$	−10.5499	+	10.5499i	−0.403682	+	0.403682i	0.475846	+	0.879528i	$0.342142\pi$
$684$	−16.4966	−	8.99014i	−0.630764	−	0.343746i
$685$	−3.64355	+	2.64720i	−0.139213	+	0.101144i
$686$	−25.7872	−	8.77592i	−0.984561	−	0.335066i
$687$	0.930881	+	0.474308i	0.0355153	+	0.0180960i
$688$	19.7893	+	1.09876i	0.754462	+	0.0418897i
$689$	−23.5763	+	46.8344i	−0.898186	+	1.78425i
$690$	−1.77982	+	2.37961i	−0.0677565	+	0.0905901i
$691$	−41.7893	+	21.2927i	−1.58974	+	0.810013i	−0.589743	+	0.807591i	$0.700771\pi$
$691$	−41.7893	+	21.2927i	−1.58974	+	0.810013i	−0.999997	+	0.00242245i	$0.999229\pi$
$692$	3.47844	−	2.38272i	0.132230	−	0.0905774i
$693$	5.82410	+	19.4345i	0.221239	+	0.738255i
$694$	−6.06096	−	3.19483i	−0.230071	−	0.121274i
$695$	−4.00009	+	2.03815i	−0.151732	+	0.0773114i
$696$	−0.662607	−	0.720162i	−0.0251160	−	0.0272977i
$697$	1.54006	+	9.72358i	0.0583341	+	0.368307i
$698$	−2.69586	−	3.82085i	−0.102040	−	0.144621i
$699$	−3.81399	−	11.7383i	−0.144259	−	0.443982i
$700$	−17.2495	+	16.3184i	−0.651971	+	0.616776i
$701$	−3.09765	−	4.26355i	−0.116997	−	0.161032i	0.746502	−	0.665383i	$-0.231732\pi$
$701$	−3.09765	−	4.26355i	−0.116997	−	0.161032i	−0.863499	+	0.504351i	$0.831732\pi$
$702$	16.8643	+	12.4858i	0.636501	+	0.471245i
$703$			32.3634i			1.22061i
$704$	−9.47200	−	24.7847i	−0.356990	−	0.934108i
$705$	1.34008			0.0504702
$706$	−32.0209	−	0.444044i	−1.20512	−	0.0167118i
$707$	−11.7353	−	1.85870i	−0.441353	−	0.0699034i
$708$	−2.84134	+	2.68796i	−0.106784	+	0.101020i
$709$	−15.6046	+	30.6258i	−0.586043	+	1.15017i	0.387542	+	0.921852i	$0.373324\pi$
$709$	−15.6046	+	30.6258i	−0.586043	+	1.15017i	−0.973585	+	0.228323i	$0.926676\pi$
$710$	3.16614	+	0.546573i	0.118823	+	0.0205125i
$711$	20.6156	−	28.3750i	0.773147	−	1.06414i
$712$	43.2918	+	1.80195i	1.62243	+	0.0675308i
$713$	24.7779	−	12.6250i	0.927939	−	0.472809i
$714$	0.767672	+	2.47910i	0.0287294	+	0.0927781i
$715$	−6.38917	−	1.13098i	−0.238942	−	0.0422962i
$716$	6.11224	+	8.92302i	0.228425	+	0.333469i
$717$	−9.41846	−	18.4848i	−0.351739	−	0.690327i
$718$	−7.59420	−	5.68005i	−0.283413	−	0.211978i
$719$	−34.3606	−	24.9644i	−1.28143	−	0.931017i	−0.281839	−	0.959462i	$-0.590944\pi$
$719$	−34.3606	−	24.9644i	−1.28143	−	0.931017i	−0.999595	+	0.0284450i	$0.990944\pi$
$720$	3.92139	−	3.50885i	0.146142	−	0.130767i
$721$	−25.3124	−	12.8973i	−0.942685	−	0.480322i
$722$	2.49076	+	5.06067i	0.0926965	+	0.188338i
$723$	1.44007	−	9.09222i	0.0535566	−	0.338143i
$724$	−2.07558	−	7.04720i	−0.0771382	−	0.261907i
$725$		−	2.14611i		−	0.0797045i
$726$	7.83071	+	8.82918i	0.290625	+	0.327682i
$727$	38.6303			1.43272			0.716359	−	0.697732i	$-0.245808\pi$
$727$	38.6303			1.43272			0.716359	+	0.697732i	$0.245808\pi$
$728$	−18.8499	+	17.5140i	−0.698625	+	0.649111i
$729$	−0.566209	+	0.411375i	−0.0209707	+	0.0152361i
$730$	−3.83113	+	1.88561i	−0.141796	+	0.0697894i
$731$	4.51803	−	1.46800i	0.167105	−	0.0542958i
$732$	−6.58049	−	5.06564i	−0.243222	−	0.187232i
$733$	−33.4939	+	5.30491i	−1.23713	+	0.195941i	−0.740520	−	0.672035i	$-0.765421\pi$
$733$	−33.4939	+	5.30491i	−1.23713	+	0.195941i	−0.496606	+	0.867976i	$0.665421\pi$
$734$	7.56358	−	1.09067i	0.279177	−	0.0402574i
$735$	−0.118487	−	0.232544i	−0.00437046	−	0.00857750i
$736$	−18.9551	−	21.7842i	−0.698694	−	0.802975i
$737$	−39.8430	−	13.9666i	−1.46763	−	0.514466i
$738$	10.4145	+	33.6322i	0.383361	+	1.23802i
$739$	−1.42184	−	2.79053i	−0.0523034	−	0.102651i	0.863375	−	0.504562i	$-0.168346\pi$
$739$	−1.42184	−	2.79053i	−0.0523034	−	0.102651i	−0.915679	+	0.401911i	$0.868346\pi$
$740$	−8.53991	−	3.03907i	−0.313933	−	0.111719i
$741$	3.32400	+	10.0630i	0.122110	+	0.369672i
$742$	−42.3990	+	29.9153i	−1.55652	+	1.09823i
$743$	−15.9468	+	31.2974i	−0.585033	+	1.14819i	0.388884	+	0.921287i	$0.372861\pi$
$743$	−15.9468	+	31.2974i	−0.585033	+	1.14819i	−0.973917	+	0.226905i	$0.927139\pi$
$744$	11.2578	−	3.14673i	0.412730	−	0.115365i
$745$	4.77237	+	6.56860i	0.174846	+	0.240655i
$746$	−12.1545	−	12.4964i	−0.445010	−	0.457525i
$747$	−23.8069	−	23.8069i	−0.871049	−	0.871049i
$748$	−4.26309	−	4.71915i	−0.155874	−	0.172549i
$749$	−4.60181	−	4.60181i	−0.168146	−	0.168146i
$750$	−5.64936	−	0.0783415i	−0.206286	−	0.00286063i
$751$	−5.17962	+	3.76322i	−0.189007	+	0.137322i	−0.678265	−	0.734818i	$-0.737268\pi$
$751$	−5.17962	+	3.76322i	−0.189007	+	0.137322i	0.489258	+	0.872139i	$0.337268\pi$
$752$	−2.74702	+	12.7292i	−0.100174	+	0.464186i
$753$	−13.8238	+	4.49163i	−0.503768	+	0.163684i
$754$	0.0209048	−	2.32545i	0.000761307	−	0.0846878i
$755$	−3.29323	+	4.53274i	−0.119853	+	0.164963i
$756$	8.91078	+	18.7568i	0.324082	+	0.682176i
$757$	−3.16799	+	9.75008i	−0.115143	+	0.354373i	−0.991977	−	0.126420i	$-0.959651\pi$
$757$	−3.16799	+	9.75008i	−0.115143	+	0.354373i	0.876834	+	0.480793i	$0.159651\pi$
$758$	32.1036	−	9.94111i	1.16606	−	0.361078i
$759$	11.3068	+	6.09256i	0.410409	+	0.221146i
$760$	5.90654	−	0.685137i	0.214253	−	0.0248525i
$761$	−24.9636	+	12.7196i	−0.904931	+	0.461085i	−0.843563	−	0.537030i	$-0.819546\pi$
$761$	−24.9636	+	12.7196i	−0.904931	+	0.461085i	−0.0613679	+	0.998115i	$0.519546\pi$
$762$	9.46615	−	1.36502i	0.342923	−	0.0494496i
$763$	−12.3173	+	16.9532i	−0.445915	+	0.613749i
$764$	13.9596	+	10.7461i	0.505042	+	0.388780i
$765$	0.572592	−	1.12378i	0.0207021	−	0.0406302i
$766$	−38.6980	−	13.1697i	−1.39821	−	0.475841i
$767$	−9.29459	+	0.0453310i	−0.335608	+	0.00163681i
$768$	−6.00360	−	10.5493i	−0.216636	−	0.380666i
$769$	−1.38651	+	1.38651i	−0.0499990	+	0.0499990i	−0.731664	−	0.681665i	$-0.761256\pi$
$769$	−1.38651	+	1.38651i	−0.0499990	+	0.0499990i	0.681665	+	0.731664i	$0.261256\pi$
$770$	−5.05227	−	3.96321i	−0.182071	−	0.142824i
$771$	−2.32898			−0.0838761
$772$	−8.89295	−	4.84637i	−0.320064	−	0.174425i
$773$	−2.05260	+	12.9596i	−0.0738270	+	0.466125i	0.922883	+	0.385080i	$0.125826\pi$
$773$	−2.05260	+	12.9596i	−0.0738270	+	0.466125i	−0.996710	+	0.0810458i	$0.974174\pi$
$774$	15.2430	−	7.50232i	0.547899	−	0.269665i
$775$	22.8408	+	11.6379i	0.820464	+	0.418047i
$776$	−21.1980	−	7.87648i	−0.760962	−	0.282749i
$777$	9.39762	−	12.9347i	0.337138	−	0.464031i
$778$	−7.16070	+	1.03258i	−0.256724	+	0.0370197i
$779$	−12.2942	+	37.8376i	−0.440485	+	1.35567i
$780$	−2.96751	−	0.0678365i	−0.106254	−	0.00242894i
$781$	0.319337	−	13.8834i	0.0114268	−	0.496788i
$782$	−6.12273	−	3.22740i	−0.218948	−	0.115411i
$783$	−1.78497	−	0.579971i	−0.0637896	−	0.0207265i
$784$	2.45178	−	0.648799i	0.0875637	−	0.0231714i
$785$	6.08138	−	0.963197i	0.217054	−	0.0343780i
$786$	−2.97808	−	0.514109i	−0.106225	−	0.0183376i
$787$	−10.5223	−	5.36135i	−0.375078	−	0.191112i	0.256281	−	0.966602i	$-0.417503\pi$
$787$	−10.5223	−	5.36135i	−0.375078	−	0.191112i	−0.631359	+	0.775491i	$0.717503\pi$
$788$	0.592118	+	0.625906i	0.0210933	+	0.0222970i
$789$	17.7452	−	12.8927i	0.631746	−	0.458991i
$790$	−0.153922	+	11.0996i	−0.00547629	+	0.394907i
$791$	30.3041	−	30.3041i	1.07749	−	1.07749i
$792$	−17.4987	−	14.5283i	−0.621790	−	0.516240i
$793$	−3.18216	−	19.4761i	−0.113002	−	0.691618i
$794$	0.638544	−	46.0467i	0.0226611	−	1.63414i
$795$	−5.91240	−	0.936432i	−0.209691	−	0.0332118i
$796$	−0.736755	+	26.5593i	−0.0261136	+	0.941371i
$797$	19.6555	−	6.38644i	0.696232	−	0.226219i	0.0605438	−	0.998166i	$-0.480717\pi$
$797$	19.6555	−	6.38644i	0.696232	−	0.226219i	0.635688	+	0.771946i	$0.280717\pi$
$798$	−1.78415	+	10.3350i	−0.0631581	+	0.365856i
$799$	0.488270	+	3.08282i	0.0172738	+	0.109062i
$800$	5.97546	−	25.9395i	0.211264	−	0.917099i
$801$	33.0931	−	16.8618i	1.16929	−	0.595781i
$802$	16.2081	−	5.01894i	0.572326	−	0.177225i
$803$	10.5019	+	15.1766i	0.370603	+	0.535571i
$804$	−18.9854	−	3.54924i	−0.669564	−	0.125172i
$805$	−6.64634	−	2.15953i	−0.234253	−	0.0761133i
$806$	24.6361	+	12.8330i	0.867769	+	0.452022i
$807$	0.808586	−	1.11292i	0.0284636	−	0.0391767i
$808$	12.1090	−	5.54816i	0.425993	−	0.195184i
$809$	0.550041	+	1.69285i	0.0193384	+	0.0595176i	0.960260	−	0.279107i	$-0.0900384\pi$
$809$	0.550041	+	1.69285i	0.0193384	+	0.0595176i	−0.940922	+	0.338624i	$0.890038\pi$
$810$	1.02635	−	3.01585i	0.0360624	−	0.105966i
$811$	19.4134	+	3.07478i	0.681698	+	0.107970i	0.487673	−	0.873026i	$-0.337846\pi$
$811$	19.4134	+	3.07478i	0.681698	+	0.107970i	0.194025	+	0.980997i	$0.437846\pi$
$812$	1.10129	−	2.02084i	0.0386477	−	0.0709174i
$813$	0.0986749	+	0.0986749i	0.00346068	+	0.00346068i
$814$	−7.55092	+	38.4443i	−0.264660	+	1.34747i
$815$			11.6217i			0.407091i
$816$	−2.25526	−	1.83790i	−0.0789500	−	0.0643395i
$817$	18.9615	+	3.00321i	0.663380	+	0.105069i
$818$	14.0291	−	41.2233i	0.490517	−	1.44134i
$819$	−6.71324	+	21.0093i	−0.234580	+	0.734125i
$820$	−8.82995	−	6.79727i	−0.308355	−	0.237371i
$821$	23.9628	−	3.79533i	0.836306	−	0.132458i	0.276430	−	0.961034i	$-0.410849\pi$
$821$	23.9628	−	3.79533i	0.836306	−	0.132458i	0.559876	+	0.828576i	$0.310849\pi$
$822$	7.13102	+	5.33362i	0.248723	+	0.186031i
$823$	−1.64153	+	5.05210i	−0.0572200	+	0.176105i	−0.975582	−	0.219637i	$-0.929513\pi$
$823$	−1.64153	+	5.05210i	−0.0572200	+	0.176105i	0.918362	+	0.395742i	$0.129513\pi$
$824$	31.6347	−	3.66952i	1.10205	−	0.127834i
$825$	1.58273	+	11.7334i	0.0551037	+	0.408503i
$826$	−8.13711	−	4.28921i	−0.283126	−	0.149241i
$827$	−17.0524	−	33.4673i	−0.592971	−	1.16377i	−0.971246	−	0.238079i	$-0.923482\pi$
$827$	−17.0524	−	33.4673i	−0.592971	−	1.16377i	0.378274	−	0.925694i	$-0.376518\pi$
$828$	−23.3198	−	8.29875i	−0.810419	−	0.288401i
$829$	−17.8925	+	24.6269i	−0.621431	+	0.855327i	−0.997456	−	0.0712828i	$-0.977291\pi$
$829$	−17.8925	+	24.6269i	−0.621431	+	0.855327i	0.376025	+	0.926610i	$0.377291\pi$
$830$	10.5006	+	1.81272i	0.364480	+	0.0629205i
$831$	4.28706	+	13.1942i	0.148716	+	0.457702i
$832$	6.72747	−	28.0489i	0.233233	−	0.972421i
$833$	0.491790	−	0.357306i	0.0170395	−	0.0123799i
$834$	6.18919	+	6.36326i	0.214314	+	0.220342i
$835$		−	6.46975i		−	0.223895i
$836$	−6.69221	−	24.8138i	−0.231455	−	0.858204i
$837$	15.8521	−	15.8521i	0.547929	−	0.547929i
$838$	−18.7691	+	18.2556i	−0.648367	+	0.630631i
$839$	5.37738	−	33.9514i	0.185648	−	1.17213i	−0.702194	−	0.711986i	$-0.747796\pi$
$839$	5.37738	−	33.9514i	0.185648	−	1.17213i	0.887842	−	0.460149i	$-0.152204\pi$
$840$	−2.55963	−	1.44130i	−0.0883155	−	0.0497296i
$841$	−8.89722	−	27.3828i	−0.306801	−	0.944235i
$842$	37.5238	−	26.4755i	1.29315	−	0.912406i
$843$	−14.7346	+	2.33374i	−0.507488	+	0.0803782i
$844$	−4.04148	+	11.3567i	−0.139113	+	0.390914i
$845$	−5.03616	−	4.93886i	−0.173249	−	0.169902i
$846$	3.30186	+	10.6629i	0.113520	+	0.366599i
$847$	−13.7237	+	24.1235i	−0.471552	+	0.828892i
$848$	21.0148	−	54.2414i	0.721653	−	1.86266i
$849$	18.7073	+	6.07836i	0.642032	+	0.208609i
$850$	−0.910603	−	6.31485i	−0.0312334	−	0.216597i
$851$	6.67022	+	42.1141i	0.228652	+	1.44365i
$852$	−0.819440	−	6.29985i	−0.0280735	−	0.215829i
$853$	−2.88199	+	5.65622i	−0.0986773	+	0.193665i	−0.935068	−	0.354469i	$-0.884662\pi$
$853$	−2.88199	+	5.65622i	−0.0986773	+	0.193665i	0.836390	+	0.548134i	$0.184662\pi$
$854$	6.29202	−	18.4885i	0.215309	−	0.632664i
$855$	4.12352	−	2.99591i	0.141021	−	0.102458i
$856$	7.15201	+	1.43995i	0.244451	+	0.0492165i
$857$			1.49645i			0.0511178i	0.999673	+	0.0255589i	$0.00813653\pi$
$857$			1.49645i			0.0511178i	−0.999673	+	0.0255589i	$0.991863\pi$
$858$	1.60070	+	12.7293i	0.0546471	+	0.434571i
$859$			19.1702i			0.654079i	0.945011	+	0.327040i	$0.106051\pi$
$859$			19.1702i			0.654079i	−0.945011	+	0.327040i	$0.893949\pi$
$860$	−2.57305	+	4.72148i	−0.0877404	+	0.161001i
$861$	15.9009	−	11.5527i	0.541900	−	0.393714i
$862$	18.6537	+	6.34823i	0.635348	+	0.216222i
$863$	7.67473	−	15.0625i	0.261251	−	0.512734i	−0.722703	−	0.691159i	$-0.757100\pi$
$863$	7.67473	−	15.0625i	0.261251	−	0.512734i	0.983953	+	0.178425i	$0.0571003\pi$
$864$	−19.9596	−	11.9799i	−0.679041	−	0.407564i
$865$	0.178940	+	1.12978i	0.00608413	+	0.0384137i
$866$	−44.8650	+	6.46956i	−1.52458	+	0.219845i
$867$	11.6022	+	3.76980i	0.394033	+	0.128029i
$868$	15.5354	+	22.6795i	0.527306	+	0.769793i
$869$	47.5487	−	6.41393i	1.61298	−	0.217578i
$870$	0.253614	−	0.0785335i	0.00859833	−	0.00266254i
$871$	−27.1589	−	37.0002i	−0.920245	−	1.25370i
$872$	0.976942	−	23.4711i	0.0330834	−	0.794830i
$873$	−19.1457	+	3.03238i	−0.647984	+	0.102631i
$874$	−16.1252	−	22.8542i	−0.545442	−	0.773055i
$875$	−4.10594	−	12.6368i	−0.138806	−	0.427201i
$876$	5.80225	+	6.13334i	0.196040	+	0.207226i
$877$	2.21776	−	14.0024i	0.0748884	−	0.472827i	−0.921533	−	0.388300i	$-0.873062\pi$
$877$	2.21776	−	14.0024i	0.0748884	−	0.472827i	0.996421	−	0.0845264i	$-0.0269377\pi$
$878$	−11.5607	−	11.8858i	−0.390155	−	0.401128i
$879$	−6.16148	+	6.16148i	−0.207822	+	0.207822i
$880$	7.17620	+	0.564224i	0.241910	+	0.0190200i
$881$			42.4869i			1.43142i	0.698397	+	0.715711i	$0.253897\pi$
$881$			42.4869i			1.43142i	−0.698397	+	0.715711i	$0.746103\pi$
$882$	1.55840	−	1.51577i	0.0524740	−	0.0510386i
$883$	1.50909	−	1.09642i	0.0507850	−	0.0368975i	−0.562103	−	0.827067i	$-0.690008\pi$
$883$	1.50909	−	1.09642i	0.0507850	−	0.0368975i	0.612888	+	0.790170i	$0.290008\pi$
$884$	−0.925187	−	6.85142i	−0.0311174	−	0.230438i
$885$	−0.327907	−	1.00919i	−0.0110225	−	0.0339237i
$886$	−0.474601	+	2.74922i	−0.0159445	+	0.0923620i
$887$	15.3625	−	21.1446i	0.515822	−	0.709968i	−0.469066	−	0.883163i	$-0.655409\pi$
$887$	15.3625	−	21.1446i	0.515822	−	0.709968i	0.984887	+	0.173196i	$0.0554093\pi$
$888$	−0.745372	+	17.9076i	−0.0250130	+	0.600939i
$889$	10.2112	+	20.0407i	0.342474	+	0.672143i
$890$	−5.48144	+	10.3989i	−0.183738	+	0.348572i
$891$	−13.5466	−	2.46615i	−0.453829	−	0.0826191i
$892$	8.22885	−	44.0173i	0.275522	−	1.47381i
$893$	−3.89782	+	11.9963i	−0.130436	+	0.401439i
$894$	9.61545	−	12.8558i	0.321589	−	0.429963i
$895$	−2.89816	+	0.459023i	−0.0968747	+	0.0153434i
$896$	18.9377	−	21.3590i	0.632664	−	0.713554i
$897$	6.39950	+	12.4097i	0.213673	+	0.414349i
$898$	−31.6735	−	10.7791i	−1.05696	−	0.359705i
$899$	−2.45399	−	0.388674i	−0.0818452	−	0.0129630i
$900$	−6.44647	−	21.8877i	−0.214882	−	0.729590i
$901$		−	13.9425i		−	0.464494i
$902$	−23.4324	+	42.0787i	−0.780212	+	1.40107i
$903$	−6.70632	−	6.70632i	−0.223172	−	0.223172i
$904$	−9.48246	+	47.0979i	−0.315382	+	1.56645i
$905$	1.96855	+	0.311788i	0.0654369	+	0.0103642i
$906$	10.4875	+	3.56912i	0.348424	+	0.118576i
$907$	−10.3931	−	31.9866i	−0.345096	−	1.06210i	−0.961532	−	0.274692i	$-0.911424\pi$
$907$	−10.3931	−	31.9866i	−0.345096	−	1.06210i	0.616436	−	0.787405i	$-0.288576\pi$
$908$	−49.0376	+	6.37846i	−1.62737	+	0.211677i
$909$	6.71092	−	9.23679i	0.222587	−	0.306365i
$910$	−2.09737	−	6.65810i	−0.0695271	−	0.220714i
$911$	−24.5116	−	7.96429i	−0.812105	−	0.263869i	−0.126616	−	0.991952i	$-0.540412\pi$
$911$	−24.5116	−	7.96429i	−0.812105	−	0.263869i	−0.685489	+	0.728083i	$0.740412\pi$
$912$	−4.74868	−	10.7555i	−0.157244	−	0.356150i
$913$	1.05909	−	46.0447i	0.0350508	−	1.52386i
$914$	4.97868	+	16.0780i	0.164680	+	0.531814i
$915$	2.00742	−	1.02283i	0.0663631	−	0.0338137i
$916$	−1.18191	−	2.48785i	−0.0390513	−	0.0822010i
$917$	−1.11182	−	7.01975i	−0.0367155	−	0.231813i
$918$	−5.49829	−	0.949174i	−0.181471	−	0.0313274i
$919$	−20.5571	+	6.67940i	−0.678115	+	0.220333i	−0.627770	−	0.778399i	$-0.716032\pi$
$919$	−20.5571	+	6.67940i	−0.678115	+	0.220333i	−0.0503453	+	0.998732i	$0.516032\pi$
$920$	7.54491	−	2.10892i	0.248748	−	0.0695291i
$921$	−16.2803	−	2.57855i	−0.536454	−	0.0849659i
$922$	−6.74145	−	0.0934858i	−0.222018	−	0.00307879i
$923$	8.81404	−	12.2568i	0.290118	−	0.403436i
$924$	−4.53072	+	11.8607i	−0.149050	+	0.390187i
$925$	−27.7932	+	27.7932i	−0.913835	+	0.913835i
$926$	13.2370	+	0.183561i	0.434994	+	0.00603220i
$927$	22.0851	−	16.0457i	0.725369	−	0.527011i
$928$	0.226095	+	2.57003i	0.00742192	+	0.0843654i
$929$	−3.63538	−	1.85232i	−0.119273	−	0.0607726i	0.393336	−	0.919395i	$-0.371321\pi$
$929$	−3.63538	−	1.85232i	−0.119273	−	0.0607726i	−0.512609	+	0.858622i	$0.671321\pi$
$930$	−0.539482	+	3.12506i	−0.0176903	+	0.102475i
$931$	2.42635	−	0.384296i	0.0795204	−	0.0125948i
$932$	−10.9092	+	30.6554i	−0.357344	+	1.00415i
$933$	−16.0447	−	5.21323i	−0.525279	−	0.170673i
$934$	7.29934	−	13.8477i	0.238842	−	0.453109i
$935$	1.65272	−	0.495286i	0.0540499	−	0.0161976i
$936$	−6.77197	−	23.7795i	−0.221349	−	0.777258i
$937$	1.35123	−	4.15866i	0.0441428	−	0.135857i	−0.926556	−	0.376156i	$-0.877246\pi$
$937$	1.35123	−	4.15866i	0.0441428	−	0.135857i	0.970699	+	0.240299i	$0.0772455\pi$
$938$	−6.48285	−	44.9572i	−0.211673	−	1.46791i
$939$	−9.50585	+	13.0837i	−0.310212	+	0.426970i
$940$	−2.79950	−	2.15504i	−0.0913095	−	0.0702898i
$941$	−42.3335	−	21.5700i	−1.38003	−	0.703161i	−0.402791	−	0.915292i	$-0.631960\pi$
$941$	−42.3335	−	21.5700i	−1.38003	−	0.703161i	−0.977241	+	0.212131i	$0.931960\pi$
$942$	−5.37614	−	10.9231i	−0.175164	−	0.355894i
$943$	−8.19981	+	51.7716i	−0.267023	+	1.68591i
$944$	10.2584	−	1.04599i	0.333881	−	0.0340442i
$945$	−5.63371			−0.183265
$946$	21.8236	+	7.99155i	0.709547	+	0.259828i
$947$	20.1445	−	20.1445i	0.654608	−	0.654608i	−0.299491	−	0.954099i	$-0.596817\pi$
$947$	20.1445	−	20.1445i	0.654608	−	0.654608i	0.954099	+	0.299491i	$0.0968170\pi$
$948$	21.0549	−	6.20118i	0.683830	−	0.201405i
$949$	0.0978519	+	20.0634i	0.00317641	+	0.651286i
$950$	8.30681	−	24.4088i	0.269509	−	0.791926i
$951$	−1.92218	+	3.77249i	−0.0623310	+	0.122331i
$952$	2.38306	−	6.41352i	0.0772354	−	0.207863i
$953$	18.3196	−	25.2148i	0.593431	−	0.816787i	−0.401656	−	0.915790i	$-0.631565\pi$
$953$	18.3196	−	25.2148i	0.593431	−	0.816787i	0.995087	+	0.0990032i	$0.0315654\pi$
$954$	−7.11659	−	49.3520i	−0.230408	−	1.59783i
$955$	−4.25847	+	2.16980i	−0.137801	+	0.0702130i
$956$	−10.0506	+	53.7621i	−0.325059	+	1.73879i
$957$	−0.497316	−	1.03416i	−0.0160759	−	0.0334297i
$958$	−3.52093	−	11.3704i	−0.113756	−	0.367362i
$959$	−6.47150	+	19.9172i	−0.208976	+	0.643161i
$960$	3.28404	−	0.243071i	0.105992	−	0.00784507i
$961$	−0.777200	+	1.06972i	−0.0250710	+	0.0345072i
$962$	−30.3865	+	29.8450i	−0.979700	+	0.962242i
$963$	5.94754	−	1.93247i	0.191657	−	0.0622731i
$964$	−17.6300	+	16.6783i	−0.567825	+	0.537173i
$965$	2.22289	−	1.61502i	0.0715574	−	0.0519895i
$966$	−0.191599	+	13.8166i	−0.00616459	+	0.444541i
$967$	0.656425	+	0.656425i	0.0211092	+	0.0211092i	0.717583	−	0.696473i	$-0.245249\pi$
$967$	0.656425	+	0.656425i	0.0211092	+	0.0211092i	−0.696473	+	0.717583i	$0.745249\pi$
$968$	−2.16015	−	31.0376i	−0.0694299	−	0.997587i
$969$	−1.99264	−	1.99264i	−0.0640129	−	0.0640129i
$970$	4.39793	−	4.27762i	0.141209	−	0.137346i
$971$	29.9255	+	41.1889i	0.960355	+	1.32182i	0.946771	+	0.321908i	$0.104324\pi$
$971$	29.9255	+	41.1889i	0.960355	+	1.32182i	0.0135839	+	0.999908i	$0.495676\pi$
$972$	−30.9780	−	0.859330i	−0.993621	−	0.0275630i
$973$	−9.47744	+	18.6005i	−0.303833	+	0.596306i
$974$	22.8768	+	32.4233i	0.733019	+	1.03891i
$975$	−5.78733	+	11.4965i	−0.185343	+	0.368184i
$976$	5.60071	+	21.1648i	0.179274	+	0.677470i
$977$	−7.76209	−	15.2340i	−0.248331	−	0.487378i	0.732869	−	0.680370i	$-0.238181\pi$
$977$	−7.76209	−	15.2340i	−0.248331	−	0.487378i	−0.981200	+	0.192992i	$0.938181\pi$
$978$	21.9510	−	6.79727i	0.701914	−	0.217353i
$979$	47.9476	+	16.8076i	1.53241	+	0.537173i
$980$	−0.126439	+	0.676342i	−0.00403895	+	0.0216050i
$981$	−9.14176	−	17.9417i	−0.291874	−	0.572835i
$982$	7.37077	+	51.1148i	0.235211	+	1.63114i
$983$	−32.6346	+	5.16881i	−1.04088	+	0.164860i	−0.653396	−	0.757016i	$-0.726656\pi$
$983$	−32.6346	+	5.16881i	−1.04088	+	0.164860i	−0.387486	+	0.921876i	$0.626656\pi$
$984$	−7.67418	+	20.6535i	−0.244644	+	0.658409i
$985$	−0.222311	+	0.0722332i	−0.00708341	+	0.00230154i
$986$	0.273072	+	0.554820i	0.00869637	+	0.0176691i
$987$	5.04130	−	3.66272i	0.160466	−	0.116586i
$988$	9.23873	−	26.3676i	0.293923	−	0.838865i
$989$	25.2934			0.804284
$990$	5.59730	−	2.59674i	0.177894	−	0.0825298i
$991$			18.9897i			0.603228i	0.953430	+	0.301614i	$0.0975255\pi$
$991$			18.9897i			0.603228i	−0.953430	+	0.301614i	$0.902475\pi$
$992$	−28.5786	−	11.5305i	−0.907371	−	0.366094i
$993$	0.115627	−	0.730040i	0.00366931	−	0.0231671i
$994$	13.4048	−	6.59756i	0.425173	−	0.209262i
$995$	−6.42261	−	3.27248i	−0.203610	−	0.103745i
$996$	−2.71769	−	20.8936i	−0.0861133	−	0.662038i
$997$	−30.9550	−	22.4901i	−0.980354	−	0.712269i	−0.0225659	−	0.999745i	$-0.507184\pi$
$997$	−30.9550	−	22.4901i	−0.980354	−	0.712269i	−0.957788	+	0.287477i	$0.907184\pi$
$998$	−21.2776	+	28.4480i	−0.673529	+	0.900506i
$999$	15.6053	+	30.6272i	0.493731	+	0.969001i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bk.a.31.20	✓	640
4.3	odd	2	inner	572.2.bk.a.31.37	yes	640
11.5	even	5	inner	572.2.bk.a.291.77	yes	640
13.8	odd	4	inner	572.2.bk.a.515.62	yes	640
44.27	odd	10	inner	572.2.bk.a.291.62	yes	640
52.47	even	4	inner	572.2.bk.a.515.77	yes	640
143.60	odd	20	inner	572.2.bk.a.203.37	yes	640
572.203	even	20	inner	572.2.bk.a.203.20	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bk.a.31.20	✓	640	1.1	even	1	trivial
572.2.bk.a.31.37	yes	640	4.3	odd	2	inner
572.2.bk.a.203.20	yes	640	572.203	even	20	inner
572.2.bk.a.203.37	yes	640	143.60	odd	20	inner
572.2.bk.a.291.62	yes	640	44.27	odd	10	inner
572.2.bk.a.291.77	yes	640	11.5	even	5	inner
572.2.bk.a.515.62	yes	640	13.8	odd	4	inner
572.2.bk.a.515.77	yes	640	52.47	even	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	572.bk (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.986038 - 1.01377i) q^{2} +(-0.445909 - 0.613742i) q^{3} +(-0.0554586 + 1.99923i) q^{4} +(-0.483456 - 0.246333i) q^{5} +(-0.182509 + 1.05722i) q^{6} +(-2.49202 + 0.394697i) q^{7} +(2.08144 - 1.91510i) q^{8} +(0.749207 - 2.30582i) q^{9} +O(q^{10})\)	\(q+(-0.986038 - 1.01377i) q^{2} +(-0.445909 - 0.613742i) q^{3} +(-0.0554586 + 1.99923i) q^{4} +(-0.483456 - 0.246333i) q^{5} +(-0.182509 + 1.05722i) q^{6} +(-2.49202 + 0.394697i) q^{7} +(2.08144 - 1.91510i) q^{8} +(0.749207 - 2.30582i) q^{9} +(0.226981 + 0.733007i) q^{10} +(2.98898 - 1.43736i) q^{11} +(1.25174 - 0.857439i) q^{12} +(3.56387 + 0.546658i) q^{13} +(2.85736 + 2.13715i) q^{14} +(0.0643927 + 0.406560i) q^{15} +(-3.99385 - 0.221749i) q^{16} +(-0.911820 + 0.296268i) q^{17} +(-3.07632 + 1.51411i) q^{18} +(-3.82678 - 0.606103i) q^{19} +(0.519289 - 0.952880i) q^{20} +(1.35346 + 1.35346i) q^{21} +(-4.40440 - 1.61284i) q^{22} -5.10467 q^{23} +(-2.10351 - 0.423510i) q^{24} +(-2.76588 - 3.80690i) q^{25} +(-2.95993 - 4.15197i) q^{26} +(-3.91375 + 1.27165i) q^{27} +(-0.650887 - 5.00402i) q^{28} +(0.368974 + 0.268075i) q^{29} +(0.348664 - 0.466163i) q^{30} +(-4.85396 + 2.47322i) q^{31} +(3.71328 + 4.26750i) q^{32} +(-2.21498 - 1.19353i) q^{33} +(1.19944 + 0.632244i) q^{34} +(1.30201 + 0.423049i) q^{35} +(4.56832 + 1.62572i) q^{36} +(-1.30669 - 8.25011i) q^{37} +(3.15890 + 4.47712i) q^{38} +(-1.25366 - 2.43105i) q^{39} +(-1.47804 + 0.413136i) q^{40} +(1.60633 - 10.1420i) q^{41} +(0.0375340 - 2.70666i) q^{42} -4.95496 q^{43} +(2.70786 + 6.05537i) q^{44} +(-0.930210 + 0.930210i) q^{45} +(5.03340 + 5.17496i) q^{46} +(0.509281 - 3.21548i) q^{47} +(1.64480 + 2.55007i) q^{48} +(-0.603012 + 0.195930i) q^{49} +(-1.13206 + 6.55771i) q^{50} +(0.588421 + 0.427513i) q^{51} +(-1.29054 + 7.09468i) q^{52} +(-4.49388 + 13.8308i) q^{53} +(5.14827 + 2.71374i) q^{54} +(-1.79911 - 0.0413820i) q^{55} +(-4.43112 + 5.59400i) q^{56} +(1.33441 + 2.61892i) q^{57} +(-0.0920556 - 0.638386i) q^{58} +(-2.54615 + 0.403270i) q^{59} +(-0.816378 + 0.106189i) q^{60} +(-1.69135 - 5.20545i) q^{61} +(7.29346 + 2.48211i) q^{62} +(-0.956938 + 6.04187i) q^{63} +(0.664821 - 7.97233i) q^{64} +(-1.58832 - 1.14218i) q^{65} +(0.974097 + 3.42234i) q^{66} +(-9.00133 - 9.00133i) q^{67} +(-0.541740 - 1.83937i) q^{68} +(2.27622 + 3.13295i) q^{69} +(-0.854958 - 1.73708i) q^{70} +(1.90091 - 3.73075i) q^{71} +(-2.85644 - 6.23425i) q^{72} +(0.870504 + 5.49614i) q^{73} +(-7.07527 + 9.45960i) q^{74} +(-1.10312 + 3.39507i) q^{75} +(1.42397 - 7.61701i) q^{76} +(-6.88127 + 4.76168i) q^{77} +(-1.22838 + 3.66803i) q^{78} +(13.7583 + 4.47034i) q^{79} +(1.87623 + 1.09102i) q^{80} +(-3.35871 - 2.44024i) q^{81} +(-11.8656 + 8.37194i) q^{82} +(6.30441 - 12.3731i) q^{83} +(-2.78094 + 2.63081i) q^{84} +(0.513806 + 0.0813788i) q^{85} +(4.88577 + 5.02318i) q^{86} -0.345992i q^{87} +(3.46870 - 8.71597i) q^{88} +(10.8323 + 10.8323i) q^{89} +(1.86024 + 0.0257965i) q^{90} +(-9.09700 + 0.0443673i) q^{91} +(0.283098 - 10.2054i) q^{92} +(3.68234 + 1.87625i) q^{93} +(-3.76192 + 2.65429i) q^{94} +(1.70078 + 1.23569i) q^{95} +(0.963352 - 4.18191i) q^{96} +(-3.62977 - 7.12382i) q^{97} +(0.793221 + 0.418120i) q^{98} +(-1.07494 - 7.96894i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 6 q^{2} - 12 q^{5} - 14 q^{6} - 6 q^{8} + 120 q^{9}+O(q^{10}) \) 640 * q - 6 * q^2 - 12 * q^5 - 14 * q^6 - 6 * q^8 + 120 * q^9	\( 640 q - 6 q^{2} - 12 q^{5} - 14 q^{6} - 6 q^{8} + 120 q^{9} - 12 q^{13} + 4 q^{14} - 36 q^{16} - 10 q^{18} - 60 q^{20} - 56 q^{21} - 44 q^{22} - 14 q^{24} + 26 q^{26} - 14 q^{28} - 24 q^{29} - 16 q^{32} - 28 q^{33} + 12 q^{34} - 12 q^{37} + 4 q^{40} - 36 q^{41} - 8 q^{42} + 26 q^{44} - 16 q^{45} - 50 q^{46} + 48 q^{48} + 36 q^{50} - 52 q^{52} - 40 q^{53} + 116 q^{54} - 36 q^{57} - 70 q^{58} + 52 q^{60} - 8 q^{61} - 48 q^{65} - 228 q^{66} - 44 q^{68} - 68 q^{70} - 38 q^{72} - 12 q^{73} - 12 q^{74} + 108 q^{76} + 108 q^{78} + 62 q^{80} - 168 q^{81} - 36 q^{84} - 52 q^{85} - 62 q^{86} + 16 q^{89} - 80 q^{92} - 4 q^{93} - 124 q^{94} - 132 q^{96} - 4 q^{97} - 108 q^{98}+O(q^{100}) \) 640 * q - 6 * q^2 - 12 * q^5 - 14 * q^6 - 6 * q^8 + 120 * q^9 - 12 * q^13 + 4 * q^14 - 36 * q^16 - 10 * q^18 - 60 * q^20 - 56 * q^21 - 44 * q^22 - 14 * q^24 + 26 * q^26 - 14 * q^28 - 24 * q^29 - 16 * q^32 - 28 * q^33 + 12 * q^34 - 12 * q^37 + 4 * q^40 - 36 * q^41 - 8 * q^42 + 26 * q^44 - 16 * q^45 - 50 * q^46 + 48 * q^48 + 36 * q^50 - 52 * q^52 - 40 * q^53 + 116 * q^54 - 36 * q^57 - 70 * q^58 + 52 * q^60 - 8 * q^61 - 48 * q^65 - 228 * q^66 - 44 * q^68 - 68 * q^70 - 38 * q^72 - 12 * q^73 - 12 * q^74 + 108 * q^76 + 108 * q^78 + 62 * q^80 - 168 * q^81 - 36 * q^84 - 52 * q^85 - 62 * q^86 + 16 * q^89 - 80 * q^92 - 4 * q^93 - 124 * q^94 - 132 * q^96 - 4 * q^97 - 108 * q^98

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