LMFDB - Embedded newform 116.2.l.b.95.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [116,2,Mod(3,116)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(116, base_ring=CyclotomicField(28))

chi = DirichletCharacter(H, H._module([14, 5]))

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

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

chi := DirichletCharacter("116.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$116 = 2^{2} \cdot 29$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	116.l (of order $28$ , degree $12$ , 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:	$0.926264663447$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$12$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			95.10
Character	$\chi$	$=$	116.95
Dual form			116.2.l.b.11.10

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.523166 + 1.31389i) q^{2} +(2.69956 + 0.304168i) q^{3} +(-1.45260 + 1.37476i) q^{4} +(-1.20112 - 2.49416i) q^{5} +(1.01268 + 3.70605i) q^{6} +(-0.625709 + 0.498986i) q^{7} +(-2.56623 - 1.18932i) q^{8} +(4.27033 + 0.974675i) q^{9} +(2.64866 - 2.88300i) q^{10} +(-4.00072 - 2.51382i) q^{11} +(-4.33953 + 3.26942i) q^{12} +(-2.59950 + 0.593318i) q^{13} +(-0.982961 - 0.561058i) q^{14} +(-2.48387 - 7.09848i) q^{15} +(0.220065 - 3.99394i) q^{16} +(4.12057 + 4.12057i) q^{17} +(0.953478 + 6.12065i) q^{18} +(0.647599 + 5.74760i) q^{19} +(5.17362 + 1.97175i) q^{20} +(-1.84092 + 1.15672i) q^{21} +(1.20983 - 6.57163i) q^{22} +(1.26320 - 2.62305i) q^{23} +(-6.56594 - 3.99120i) q^{24} +(-1.66069 + 2.08244i) q^{25} +(-2.13952 - 3.10504i) q^{26} +(3.53897 + 1.23834i) q^{27} +(0.222915 - 1.58503i) q^{28} +(5.26763 + 1.11894i) q^{29} +(8.02713 - 6.97720i) q^{30} +(0.0981689 - 0.280550i) q^{31} +(5.36272 - 1.80035i) q^{32} +(-10.0356 - 8.00309i) q^{33} +(-3.25822 + 7.56971i) q^{34} +(1.99611 + 0.961274i) q^{35} +(-7.54301 + 4.45487i) q^{36} +(-1.42715 - 2.27130i) q^{37} +(-7.21289 + 3.85782i) q^{38} +(-7.19797 + 0.811016i) q^{39} +(0.116011 + 7.82910i) q^{40} +(6.66062 - 6.66062i) q^{41} +(-2.48291 - 1.81360i) q^{42} +(1.02284 - 0.357909i) q^{43} +(9.26732 - 1.84847i) q^{44} +(-2.69820 - 11.8216i) q^{45} +(4.10725 + 0.287404i) q^{46} +(1.28181 - 2.04000i) q^{47} +(1.80891 - 10.7150i) q^{48} +(-1.41512 + 6.20005i) q^{49} +(-3.60490 - 1.09250i) q^{50} +(9.87040 + 12.3771i) q^{51} +(2.96035 - 4.43554i) q^{52} +(-12.1981 + 5.87431i) q^{53} +(0.224431 + 5.29766i) q^{54} +(-1.46451 + 12.9978i) q^{55} +(2.19916 - 0.536346i) q^{56} +15.7130i q^{57} +(1.28569 + 7.50646i) q^{58} -11.1260i q^{59} +(13.3668 + 6.89650i) q^{60} +(-0.603371 + 5.35507i) q^{61} +(0.419970 - 0.0177917i) q^{62} +(-3.15833 + 1.52097i) q^{63} +(5.17105 + 6.10412i) q^{64} +(4.60215 + 5.77091i) q^{65} +(5.26489 - 17.3725i) q^{66} +(-1.16453 + 5.10215i) q^{67} +(-11.6503 - 0.320722i) q^{68} +(4.20792 - 6.69687i) q^{69} +(-0.218711 + 3.12556i) q^{70} +(1.67029 + 7.31802i) q^{71} +(-9.79944 - 7.58001i) q^{72} +(-3.02900 + 1.05989i) q^{73} +(2.23760 - 3.06339i) q^{74} +(-5.11654 + 5.11654i) q^{75} +(-8.84227 - 7.45864i) q^{76} +(3.75765 - 0.423385i) q^{77} +(-4.83132 - 9.03302i) q^{78} +(-4.66348 - 7.42189i) q^{79} +(-10.2259 + 4.24834i) q^{80} +(-2.66213 - 1.28201i) q^{81} +(12.2359 + 5.26669i) q^{82} +(-7.68822 - 6.13115i) q^{83} +(1.08389 - 4.21107i) q^{84} +(5.32805 - 15.2267i) q^{85} +(1.00537 + 1.15666i) q^{86} +(13.8800 + 4.62289i) q^{87} +(7.27703 + 11.2092i) q^{88} +(-1.83420 - 0.641815i) q^{89} +(14.1206 - 9.72979i) q^{90} +(1.33047 - 1.66836i) q^{91} +(1.77116 + 5.54683i) q^{92} +(0.350347 - 0.727503i) q^{93} +(3.35093 + 0.616903i) q^{94} +(13.5576 - 8.51880i) q^{95} +(15.0246 - 3.22900i) q^{96} +(-0.198034 - 1.75760i) q^{97} +(-8.88651 + 1.38435i) q^{98} +(-14.6342 - 14.6342i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$144 q - 12 q^{2} - 14 q^{4} - 28 q^{5} - 14 q^{6} - 12 q^{8} - 28 q^{9} - 8 q^{10} - 12 q^{12} - 28 q^{13} - 14 q^{14} + 2 q^{16} - 4 q^{17} + 14 q^{18} + 14 q^{20} - 28 q^{21} - 14 q^{22} - 22 q^{24} - 12 q^{25}+ \cdots - 110 q^{98}+O(q^{100})$ 144 * q - 12 * q^2 - 14 * q^4 - 28 * q^5 - 14 * q^6 - 12 * q^8 - 28 * q^9 - 8 * q^10 - 12 * q^12 - 28 * q^13 - 14 * q^14 + 2 * q^16 - 4 * q^17 + 14 * q^18 + 14 * q^20 - 28 * q^21 - 14 * q^22 - 22 * q^24 - 12 * q^25 - 30 * q^26 - 36 * q^29 + 16 * q^30 - 12 * q^32 - 28 * q^33 - 56 * q^34 - 50 * q^36 - 36 * q^37 - 14 * q^38 - 60 * q^40 - 12 * q^41 - 14 * q^42 + 30 * q^44 + 36 * q^46 + 136 * q^48 + 12 * q^49 + 56 * q^50 + 66 * q^52 + 48 * q^53 + 56 * q^54 + 52 * q^56 + 184 * q^58 + 108 * q^60 - 28 * q^61 + 84 * q^62 + 112 * q^64 - 68 * q^65 + 92 * q^66 + 68 * q^68 - 44 * q^69 + 46 * q^70 + 4 * q^72 - 148 * q^73 - 32 * q^74 - 14 * q^76 - 60 * q^77 + 2 * q^78 - 14 * q^80 + 36 * q^81 + 6 * q^82 + 28 * q^84 - 92 * q^85 - 48 * q^88 + 28 * q^89 + 28 * q^90 - 14 * q^92 - 28 * q^93 + 62 * q^94 - 56 * q^96 + 184 * q^97 - 110 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/116\mathbb{Z}\right)^\times$ .

$n$	$59$	$89$
$\chi(n)$	$-1$	$e\left(\frac{3}{28}\right)$

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

)

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

$2$	0.523166	+	1.31389i	0.369934	+	0.929058i
$2$	0.523166	+	1.31389i	0.369934	+	0.929058i
$3$	2.69956	+	0.304168i	1.55859	+	0.175611i	0.848767	−	0.528767i	$-0.177345\pi$
$3$	2.69956	+	0.304168i	1.55859	+	0.175611i	0.709825	+	0.704378i	$0.248774\pi$
$4$	−1.45260	+	1.37476i	−0.726298	+	0.687380i
$5$	−1.20112	−	2.49416i	−0.537159	−	1.11542i	−0.976183	−	0.216947i	$-0.930390\pi$
$5$	−1.20112	−	2.49416i	−0.537159	−	1.11542i	0.439024	−	0.898475i	$-0.355324\pi$
$6$	1.01268	+	3.70605i	0.413423	+	1.51299i
$7$	−0.625709	+	0.498986i	−0.236496	+	0.188599i	−0.734565	−	0.678538i	$-0.762614\pi$
$7$	−0.625709	+	0.498986i	−0.236496	+	0.188599i	0.498070	+	0.867137i	$0.334042\pi$
$8$	−2.56623	−	1.18932i	−0.907299	−	0.420487i
$9$	4.27033	+	0.974675i	1.42344	+	0.324892i
$10$	2.64866	−	2.88300i	0.837579	−	0.911685i
$11$	−4.00072	−	2.51382i	−1.20626	−	0.757945i	−0.229717	−	0.973258i	$-0.573780\pi$
$11$	−4.00072	−	2.51382i	−1.20626	−	0.757945i	−0.976545	+	0.215313i	$0.930923\pi$
$12$	−4.33953	+	3.26942i	−1.25271	+	0.943800i
$13$	−2.59950	+	0.593318i	−0.720971	+	0.164557i	−0.567236	−	0.823555i	$-0.691987\pi$
$13$	−2.59950	+	0.593318i	−0.720971	+	0.164557i	−0.153735	+	0.988112i	$0.549130\pi$
$14$	−0.982961	−	0.561058i	−0.262707	−	0.149949i
$15$	−2.48387	−	7.09848i	−0.641332	−	1.83282i
$16$	0.220065	−	3.99394i	0.0550163	−	0.998485i
$17$	4.12057	+	4.12057i	0.999386	+	0.999386i	1.00000		0.000613870i	$-0.000195401\pi$
$17$	4.12057	+	4.12057i	0.999386	+	0.999386i	−0.000613870		1.00000i	$0.500195\pi$
$18$	0.953478	+	6.12065i	0.224737	+	1.44265i
$19$	0.647599	+	5.74760i	0.148569	+	1.31859i	0.817786	+	0.575522i	$0.195201\pi$
$19$	0.647599	+	5.74760i	0.148569	+	1.31859i	−0.669217	+	0.743067i	$0.733370\pi$
$20$	5.17362	+	1.97175i	1.15686	+	0.440896i
$21$	−1.84092	+	1.15672i	−0.401721	+	0.252418i
$22$	1.20983	−	6.57163i	0.257937	−	1.40108i
$23$	1.26320	−	2.62305i	0.263394	−	0.546944i	−0.726765	−	0.686886i	$-0.758977\pi$
$23$	1.26320	−	2.62305i	0.263394	−	0.546944i	0.990160	+	0.139942i	$0.0446915\pi$
$24$	−6.56594	−	3.99120i	−1.34027	−	0.814700i
$25$	−1.66069	+	2.08244i	−0.332138	+	0.416488i
$26$	−2.13952	−	3.10504i	−0.419595	−	0.608948i
$27$	3.53897	+	1.23834i	0.681075	+	0.238319i
$28$	0.222915	−	1.58503i	0.0421270	−	0.299542i
$29$	5.26763	+	1.11894i	0.978175	+	0.207782i
$29$	5.26763	+	1.11894i	0.978175	+	0.207782i
$30$	8.02713	−	6.97720i	1.46555	−	1.27386i
$31$	0.0981689	−	0.280550i	0.0176316	−	0.0503884i	−0.934731	−	0.355356i	$-0.884360\pi$
$31$	0.0981689	−	0.280550i	0.0176316	−	0.0503884i	0.952363	+	0.304967i	$0.0986455\pi$
$32$	5.36272	−	1.80035i	0.948003	−	0.318260i
$33$	−10.0356	−	8.00309i	−1.74697	−	1.39316i
$34$	−3.25822	+	7.56971i	−0.558781	+	1.29819i
$35$	1.99611	+	0.961274i	0.337404	+	0.162485i
$36$	−7.54301	+	4.45487i	−1.25717	+	0.742479i
$37$	−1.42715	−	2.27130i	−0.234623	−	0.373400i	0.708573	−	0.705638i	$-0.249339\pi$
$37$	−1.42715	−	2.27130i	−0.234623	−	0.373400i	−0.943196	+	0.332238i	$0.892196\pi$
$38$	−7.21289	+	3.85782i	−1.17009	+	0.625821i
$39$	−7.19797	+	0.811016i	−1.15260	+	0.129867i
$40$	0.116011	+	7.82910i	0.0183429	+	1.23789i
$41$	6.66062	−	6.66062i	1.04021	−	1.04021i	0.0410580	−	0.999157i	$-0.486927\pi$
$41$	6.66062	−	6.66062i	1.04021	−	1.04021i	0.999157	−	0.0410580i	$-0.0130729\pi$
$42$	−2.48291	−	1.81360i	−0.383121	−	0.279844i
$43$	1.02284	−	0.357909i	0.155982	−	0.0545806i	−0.251158	−	0.967946i	$-0.580812\pi$
$43$	1.02284	−	0.357909i	0.155982	−	0.0545806i	0.407141	+	0.913365i	$0.366526\pi$
$44$	9.26732	−	1.84847i	1.39710	−	0.278668i
$45$	−2.69820	−	11.8216i	−0.402224	−	1.76226i
$46$	4.10725	+	0.287404i	0.605582	+	0.0423754i
$47$	1.28181	−	2.04000i	0.186972	−	0.297564i	−0.740064	−	0.672536i	$-0.765205\pi$
$47$	1.28181	−	2.04000i	0.186972	−	0.297564i	0.927036	+	0.374972i	$0.122348\pi$
$48$	1.80891	−	10.7150i	0.261093	−	1.54657i
$49$	−1.41512	+	6.20005i	−0.202160	+	0.885722i
$50$	−3.60490	−	1.09250i	−0.509810	−	0.154502i
$51$	9.87040	+	12.3771i	1.38213	+	1.73314i
$52$	2.96035	−	4.43554i	0.410526	−	0.615098i
$53$	−12.1981	+	5.87431i	−1.67554	+	0.806899i	−0.678136	+	0.734937i	$0.737212\pi$
$53$	−12.1981	+	5.87431i	−1.67554	+	0.806899i	−0.997407	+	0.0719623i	$0.977074\pi$
$54$	0.224431	+	5.29766i	0.0305412	+	0.720921i
$55$	−1.46451	+	12.9978i	−0.197474	+	1.75263i
$56$	2.19916	−	0.536346i	0.293876	−	0.0716722i
$57$			15.7130i			2.08123i
$58$	1.28569	+	7.50646i	0.168819	+	0.985647i
$59$		−	11.1260i		−	1.44849i	−0.689544	−	0.724244i	$-0.742189\pi$
$59$		−	11.1260i		−	1.44849i	0.689544	−	0.724244i	$-0.257811\pi$
$60$	13.3668	+	6.89650i	1.72564	+	0.890334i
$61$	−0.603371	+	5.35507i	−0.0772538	+	0.685646i	0.894077	+	0.447914i	$0.147833\pi$
$61$	−0.603371	+	5.35507i	−0.0772538	+	0.685646i	−0.971331	+	0.237733i	$0.923596\pi$
$62$	0.419970	−	0.0177917i	0.0533363	−	0.00225955i
$63$	−3.15833	+	1.52097i	−0.397913	+	0.191625i
$64$	5.17105	+	6.10412i	0.646381	+	0.763015i
$65$	4.60215	+	5.77091i	0.570827	+	0.715794i
$66$	5.26489	−	17.3725i	0.648064	−	2.13841i
$67$	−1.16453	+	5.10215i	−0.142270	+	0.623327i	0.852634	+	0.522508i	$0.175003\pi$
$67$	−1.16453	+	5.10215i	−0.142270	+	0.623327i	−0.994905	+	0.100819i	$0.967854\pi$
$68$	−11.6503	−	0.320722i	−1.41281	−	0.0388932i
$69$	4.20792	−	6.69687i	0.506574	−	0.806208i
$70$	−0.218711	+	3.12556i	−0.0261409	+	0.373576i
$71$	1.67029	+	7.31802i	0.198227	+	0.868489i	0.971992	+	0.235016i	$0.0755142\pi$
$71$	1.67029	+	7.31802i	0.198227	+	0.868489i	−0.773765	+	0.633473i	$0.781629\pi$
$72$	−9.79944	−	7.58001i	−1.15488	−	0.893313i
$73$	−3.02900	+	1.05989i	−0.354518	+	0.124051i	−0.501662	−	0.865064i	$-0.667278\pi$
$73$	−3.02900	+	1.05989i	−0.354518	+	0.124051i	0.147144	+	0.989115i	$0.452992\pi$
$74$	2.23760	−	3.06339i	0.260115	−	0.356112i
$75$	−5.11654	+	5.11654i	−0.590808	+	0.590808i
$76$	−8.84227	−	7.45864i	−1.01428	−	0.855565i
$77$	3.75765	−	0.423385i	0.428224	−	0.0482492i
$78$	−4.83132	−	9.03302i	−0.547039	−	1.02279i
$79$	−4.66348	−	7.42189i	−0.524683	−	0.835028i	0.474289	−	0.880369i	$-0.342705\pi$
$79$	−4.66348	−	7.42189i	−0.524683	−	0.835028i	−0.998972	+	0.0453415i	$0.985562\pi$
$80$	−10.2259	+	4.24834i	−1.14329	+	0.474979i
$81$	−2.66213	−	1.28201i	−0.295792	−	0.142446i
$82$	12.2359	+	5.26669i	1.35123	+	0.581609i
$83$	−7.68822	−	6.13115i	−0.843891	−	0.672981i	0.102948	−	0.994687i	$-0.467172\pi$
$83$	−7.68822	−	6.13115i	−0.843891	−	0.672981i	−0.946840	+	0.321706i	$0.895744\pi$
$84$	1.08389	−	4.21107i	0.118262	−	0.459465i
$85$	5.32805	−	15.2267i	0.577908	−	1.65157i
$86$	1.00537	+	1.15666i	0.108412	+	0.124725i
$87$	13.8800	+	4.62289i	1.48809	+	0.495626i
$88$	7.27703	+	11.2092i	0.775734	+	1.19490i
$89$	−1.83420	−	0.641815i	−0.194425	−	0.0680322i	0.231310	−	0.972880i	$-0.425699\pi$
$89$	−1.83420	−	0.641815i	−0.194425	−	0.0680322i	−0.425735	+	0.904848i	$0.639984\pi$
$90$	14.1206	−	9.72979i	1.48844	−	1.02561i
$91$	1.33047	−	1.66836i	0.139471	−	0.174891i
$92$	1.77116	+	5.54683i	0.184656	+	0.578297i
$93$	0.350347	−	0.727503i	0.0363293	−	0.0754386i
$94$	3.35093	+	0.616903i	0.345622	+	0.0636287i
$95$	13.5576	−	8.51880i	1.39098	−	0.874010i
$96$	15.0246	−	3.22900i	1.53344	−	0.329558i
$97$	−0.198034	−	1.75760i	−0.0201073	−	0.178457i	0.979644	−	0.200741i	$-0.0643349\pi$
$97$	−0.198034	−	1.75760i	−0.0201073	−	0.178457i	−0.999752	+	0.0222836i	$0.992906\pi$
$98$	−8.88651	+	1.38435i	−0.897673	+	0.139840i
$99$	−14.6342	−	14.6342i	−1.47080	−	1.47080i
$100$	−0.450546	−	5.30799i	−0.0450546	−	0.530799i
$101$	1.11491	+	3.18624i	0.110938	+	0.317042i	0.985946	−	0.167067i	$-0.0534295\pi$
$101$	1.11491	+	3.18624i	0.110938	+	0.317042i	−0.875008	+	0.484109i	$0.839144\pi$
$102$	−11.0982	+	19.4438i	−1.09889	+	1.92523i
$103$	0.235266	−	0.0536980i	0.0231815	−	0.00529102i	−0.210914	−	0.977505i	$-0.567644\pi$
$103$	0.235266	−	0.0536980i	0.0231815	−	0.00529102i	0.234096	+	0.972213i	$0.424787\pi$
$104$	7.37654	+	1.56904i	0.723330	+	0.153857i
$105$	5.09622	+	3.20217i	0.497341	+	0.312500i
$106$	−14.0998	−	12.9537i	−1.36950	−	1.25818i
$107$	−6.68380	−	1.52553i	−0.646147	−	0.147479i	−0.113126	−	0.993581i	$-0.536086\pi$
$107$	−6.68380	−	1.52553i	−0.646147	−	0.147479i	−0.533021	+	0.846102i	$0.678943\pi$
$108$	−6.84311	+	3.06643i	−0.658479	+	0.295068i
$109$	6.02055	−	4.80123i	0.576664	−	0.459874i	−0.291210	−	0.956659i	$-0.594058\pi$
$109$	6.02055	−	4.80123i	0.576664	−	0.459874i	0.867874	+	0.496785i	$0.165486\pi$
$110$	−17.8439	+	4.87583i	−1.70135	+	0.464892i
$111$	−3.16183	−	6.56562i	−0.300108	−	0.623181i
$112$	1.85523	+	2.60885i	0.175302	+	0.246514i
$113$	10.2351	+	1.15321i	0.962834	+	0.108485i	0.579365	−	0.815068i	$-0.303301\pi$
$113$	10.2351	+	1.15321i	0.962834	+	0.108485i	0.383469	+	0.923554i	$0.374729\pi$
$114$	−20.6451	+	8.22049i	−1.93359	+	0.769919i
$115$	−8.05957			−0.751559
$116$	−9.19002	+	5.61637i	−0.853272	+	0.521467i
$117$	−11.6790			−1.07972
$118$	14.6184	−	5.82077i	1.34573	−	0.535845i
$119$	−4.63439	−	0.522170i	−0.424834	−	0.0478673i
$120$	−2.06818	+	21.1704i	−0.188798	+	1.93259i
$121$	4.91374	+	10.2035i	0.446704	+	0.927591i
$122$	−7.35162	+	2.00883i	−0.665584	+	0.181871i
$123$	20.0067	−	15.9548i	1.80394	−	1.43860i
$124$	0.243090	+	0.542485i	0.0218301	+	0.0487166i
$125$	−6.30588	−	1.43928i	−0.564015	−	0.128733i
$126$	−3.65072	−	3.35397i	−0.325232	−	0.298795i
$127$	11.0882	+	6.96721i	0.983923	+	0.618240i	0.924978	−	0.380022i	$-0.124083\pi$
$127$	11.0882	+	6.96721i	0.983923	+	0.618240i	0.0589452	+	0.998261i	$0.481226\pi$
$128$	−5.31480	+	9.98764i	−0.469766	+	0.882791i
$129$	2.87010	−	0.655081i	0.252698	−	0.0576767i
$130$	−5.17464	+	9.06585i	−0.453846	+	0.795128i
$131$	−3.97123	−	11.3491i	−0.346968	−	0.991579i	−0.976671	−	0.214742i	$-0.931109\pi$
$131$	−3.97123	−	11.3491i	−0.346968	−	0.991579i	0.629702	−	0.776836i	$-0.283177\pi$
$132$	25.5799	−	2.17124i	2.22645	−	0.188982i
$133$	−3.27318	−	3.27318i	−0.283821	−	0.283821i
$134$	−7.31289	+	1.13921i	−0.631738	+	0.0984125i
$135$	−1.16213	−	10.3142i	−0.100020	−	0.887702i
$136$	−5.67366	−	15.4750i	−0.486512	−	1.32697i
$137$	0.426004	−	0.267676i	0.0363960	−	0.0228691i	−0.513711	−	0.857963i	$-0.671730\pi$
$137$	0.426004	−	0.267676i	0.0363960	−	0.0228691i	0.550107	+	0.835094i	$0.314587\pi$
$138$	11.0004	+	2.02516i	0.936413	+	0.172393i
$139$	1.74101	−	3.61524i	0.147670	−	0.306641i	−0.813992	−	0.580876i	$-0.802710\pi$
$139$	1.74101	−	3.61524i	0.147670	−	0.306641i	0.961663	+	0.274235i	$0.0884245\pi$
$140$	−4.22106	+	1.34783i	−0.356744	+	0.113912i
$141$	4.08084	−	5.11721i	0.343669	−	0.430947i
$142$	−8.74121	+	6.02311i	−0.733546	+	0.505448i
$143$	11.8913	+	4.16096i	0.994405	+	0.347957i
$144$	4.83255	−	16.8410i	0.402712	−	1.40341i
$145$	−3.53627	−	14.4823i	−0.293671	−	1.20269i
$146$	−2.97725	−	3.42527i	−0.246399	−	0.283477i
$147$	−5.70606	+	16.3070i	−0.470628	+	1.34498i
$148$	5.19558	+	1.33729i	0.427074	+	0.109924i
$149$	−4.78964	−	3.81961i	−0.392383	−	0.312915i	0.407349	−	0.913273i	$-0.366453\pi$
$149$	−4.78964	−	3.81961i	−0.392383	−	0.312915i	−0.799731	+	0.600358i	$0.795025\pi$
$150$	−9.39936	−	4.04576i	−0.767454	−	0.330335i
$151$	7.16121	+	3.44866i	0.582771	+	0.280648i	0.701951	−	0.712225i	$-0.252312\pi$
$151$	7.16121	+	3.44866i	0.582771	+	0.280648i	−0.119180	+	0.992873i	$0.538027\pi$
$152$	5.17383	−	15.5198i	0.419653	−	1.25883i
$153$	13.5800	+	21.6124i	1.09788	+	1.74726i
$154$	2.52215	+	4.71562i	0.203241	+	0.379995i
$155$	−0.817651	+	0.0921272i	−0.0656753	+	0.00739983i
$156$	9.34078	−	11.0736i	0.747861	−	0.886595i
$157$	6.61861	−	6.61861i	0.528222	−	0.528222i	−0.391820	−	0.920042i	$-0.628154\pi$
$157$	6.61861	−	6.61861i	0.528222	−	0.528222i	0.920042	+	0.391820i	$0.128154\pi$
$158$	7.31175	−	10.0102i	0.581691	−	0.796366i
$159$	−34.7164	+	12.1478i	−2.75319	+	0.963383i
$160$	−10.9317	−	11.2130i	−0.864224	−	0.886468i
$161$	0.518474	+	2.27159i	0.0408615	+	0.179026i
$162$	0.291686	−	4.16844i	0.0229170	−	0.327504i
$163$	−2.22070	+	3.53423i	−0.173939	+	0.276822i	−0.922304	−	0.386464i	$-0.873696\pi$
$163$	−2.22070	+	3.53423i	−0.173939	+	0.276822i	0.748365	+	0.663287i	$0.230839\pi$
$164$	−0.518425	+	18.8320i	−0.0404822	+	1.47053i
$165$	−7.90704	+	34.6430i	−0.615562	+	2.69696i
$166$	4.03342	−	13.3090i	0.313054	−	1.03298i
$167$	2.92946	+	3.67343i	0.226689	+	0.284259i	0.882148	−	0.470971i	$-0.156097\pi$
$167$	2.92946	+	3.67343i	0.226689	+	0.284259i	−0.655460	+	0.755230i	$0.727525\pi$
$168$	6.09992	−	0.778984i	0.470619	−	0.0601000i
$169$	−5.30724	+	2.55583i	−0.408249	+	0.196602i
$170$	22.7936	−	0.965632i	1.74819	−	0.0740606i
$171$	−2.83658	+	25.1753i	−0.216919	+	1.92521i
$172$	−0.993740	+	1.92606i	−0.0757720	+	0.146861i
$173$		−	11.7211i		−	0.891141i	−0.895247	−	0.445571i	$-0.853001\pi$
$173$		−	11.7211i		−	0.891141i	0.895247	−	0.445571i	$-0.146999\pi$
$174$	1.18756	+	20.6552i	0.0900291	+	1.56587i
$175$		−	2.13166i		−	0.161138i
$176$	−10.9205	+	15.4254i	−0.823161	+	1.16274i
$177$	3.38418	−	30.0354i	0.254371	−	2.25760i
$178$	−0.116320	−	2.74571i	−0.00871852	−	0.205799i
$179$	19.2261	−	9.25880i	1.43703	−	0.692036i	0.456737	−	0.889602i	$-0.349018\pi$
$179$	19.2261	−	9.25880i	1.43703	−	0.692036i	0.980290	+	0.197566i	$0.0633038\pi$
$180$	20.1713	+	13.4626i	1.50348	+	1.00344i
$181$	3.61640	+	4.53482i	0.268805	+	0.337071i	0.897853	−	0.440296i	$-0.145126\pi$
$181$	3.61640	+	4.53482i	0.268805	+	0.337071i	−0.629048	+	0.777367i	$0.716555\pi$
$182$	2.88809	+	0.875260i	0.214079	+	0.0648786i
$183$	−3.25768	+	14.2728i	−0.240814	+	1.05508i
$184$	−6.36129	+	5.22901i	−0.468960	+	0.385488i
$185$	−3.95081	+	6.28767i	−0.290469	+	0.462279i
$186$	1.13915	+	0.0797115i	0.0835263	+	0.00584473i
$187$	−6.12688	−	26.8436i	−0.448042	−	1.96300i
$188$	0.942550	+	4.72548i	0.0687425	+	0.344641i
$189$	−2.83228	+	0.991058i	−0.206018	+	0.0720888i
$190$	18.2856	+	13.3564i	1.32658	+	0.968974i
$191$	−6.03714	+	6.03714i	−0.436832	+	0.436832i	−0.890944	−	0.454112i	$-0.849957\pi$
$191$	−6.03714	+	6.03714i	−0.436832	+	0.436832i	0.454112	+	0.890944i	$0.349957\pi$
$192$	12.1029	+	18.0513i	0.873451	+	1.30274i
$193$	0.683256	−	0.0769844i	0.0491818	−	0.00554146i	−0.0873393	−	0.996179i	$-0.527836\pi$
$193$	0.683256	−	0.0769844i	0.0491818	−	0.00554146i	0.136521	+	0.990637i	$0.456408\pi$
$194$	2.20568	−	1.17971i	0.158359	−	0.0846982i
$195$	10.6685	+	16.9788i	0.763985	+	1.21587i
$196$	−6.46799	−	10.9516i	−0.462000	−	0.782259i
$197$	19.0985	+	9.19733i	1.36071	+	0.655283i	0.964795	−	0.263005i	$-0.0847135\pi$
$197$	19.0985	+	9.19733i	1.36071	+	0.655283i	0.395914	+	0.918288i	$0.370428\pi$
$198$	11.5716	−	26.8838i	0.822357	−	1.91055i
$199$	1.45752	+	1.16234i	0.103321	+	0.0823958i	0.673788	−	0.738925i	$-0.264666\pi$
$199$	1.45752	+	1.16234i	0.103321	+	0.0823958i	−0.570467	+	0.821321i	$0.693238\pi$
$200$	6.73839	−	3.36893i	0.476476	−	0.238219i
$201$	−4.69564	+	13.4194i	−0.331205	+	0.946528i
$202$	−3.60307	+	3.13180i	−0.253511	+	0.220352i
$203$	−3.85434	+	1.92835i	−0.270522	+	0.135343i
$204$	−31.3532	−	4.40946i	−2.19516	−	0.308724i
$205$	−24.6129	−	8.61243i	−1.71904	−	0.601518i
$206$	0.193636	+	0.281020i	0.0134913	+	0.0195796i
$207$	7.95089	−	9.97010i	0.552625	−	0.692970i
$208$	1.79762	+	10.5128i	0.124643	+	0.728932i
$209$	11.8576	−	24.6225i	0.820204	−	1.70317i
$210$	−1.54112	+	8.37113i	−0.106347	+	0.577663i
$211$	1.72008	−	1.08080i	0.118415	−	0.0744050i	−0.471522	−	0.881854i	$-0.656295\pi$
$211$	1.72008	−	1.08080i	0.118415	−	0.0744050i	0.589937	+	0.807449i	$0.299152\pi$
$212$	9.64318	−	25.3025i	0.662296	−	1.73778i
$213$	2.28315	+	20.2635i	0.156439	+	1.38843i
$214$	−1.49236	−	9.57986i	−0.102015	−	0.654866i
$215$	−2.12125	−	2.12125i	−0.144668	−	0.144668i
$216$	−7.60903	−	7.38682i	−0.517729	−	0.502609i
$217$	0.0785657	+	0.224528i	0.00533339	+	0.0152419i
$218$	9.45801	+	5.39848i	0.640578	+	0.365631i
$219$	−8.49936	+	1.93992i	−0.574334	+	0.131088i
$220$	−15.7416	−	20.8939i	−1.06130	−	1.40867i
$221$	−13.1562	−	8.26661i	−0.884984	−	0.556072i
$222$	6.97231	−	7.58920i	0.467951	−	0.509354i
$223$	27.3342	+	6.23886i	1.83044	+	0.417785i	0.991896	−	0.127054i	$-0.0405520\pi$
$223$	27.3342	+	6.23886i	1.83044	+	0.417785i	0.838541	+	0.544839i	$0.183409\pi$
$224$	−2.45715	+	3.80242i	−0.164175	+	0.254060i
$225$	−9.12139	+	7.27407i	−0.608093	+	0.484938i
$226$	3.83944	+	14.0510i	0.255396	+	0.934661i
$227$	10.6377	+	22.0893i	0.706047	+	1.46612i	0.876824	+	0.480812i	$0.159658\pi$
$227$	10.6377	+	22.0893i	0.706047	+	1.46612i	−0.170777	+	0.985310i	$0.554628\pi$
$228$	−21.6016	−	22.8246i	−1.43060	−	1.51160i
$229$	−13.7160	−	1.54542i	−0.906378	−	0.102124i	−0.353546	−	0.935417i	$-0.615024\pi$
$229$	−13.7160	−	1.54542i	−0.906378	−	0.102124i	−0.552832	+	0.833293i	$0.686453\pi$
$230$	−4.21649	−	10.5894i	−0.278027	−	0.698242i
$231$	10.2728			0.675899
$232$	−12.1872	−	9.13634i	−0.800127	−	0.599830i
$233$	−14.3888			−0.942640			−0.471320	−	0.881962i	$-0.656222\pi$
$233$	−14.3888			−0.942640			−0.471320	+	0.881962i	$0.656222\pi$
$234$	−6.11005	−	15.3449i	−0.399427	−	1.00313i
$235$	−6.62770	−	0.746762i	−0.432343	−	0.0487134i
$236$	15.2957	+	16.1616i	0.995662	+	1.05203i
$237$	−10.3319	−	21.4543i	−0.671126	−	1.39361i
$238$	−1.73848	−	6.36224i	−0.112689	−	0.412403i
$239$	−22.1659	+	17.6767i	−1.43379	+	1.14341i	−0.468113	+	0.883669i	$0.655066\pi$
$239$	−22.1659	+	17.6767i	−1.43379	+	1.14341i	−0.965678	+	0.259741i	$0.916363\pi$
$240$	−28.8975	+	8.35829i	−1.86533	+	0.539525i
$241$	−14.8720	−	3.39443i	−0.957988	−	0.218654i	−0.285182	−	0.958473i	$-0.592054\pi$
$241$	−14.8720	−	3.39443i	−0.957988	−	0.218654i	−0.672806	+	0.739819i	$0.734911\pi$
$242$	−10.8355	+	11.7942i	−0.696534	+	0.758161i
$243$	−16.3207	−	10.2550i	−1.04697	−	0.657856i
$244$	−6.48549	−	8.60824i	−0.415191	−	0.551086i
$245$	17.1637	−	3.91750i	1.09655	−	0.250280i
$246$	31.4296	+	17.9395i	2.00388	+	1.14378i
$247$	−5.09359	−	14.5566i	−0.324097	−	0.926216i
$248$	−0.585587	+	0.603203i	−0.0371848	+	0.0383034i
$249$	−18.8899	−	18.8899i	−1.19710	−	1.19710i
$250$	−1.40798	−	9.03819i	−0.0890482	−	0.571625i
$251$	−0.601378	−	5.33738i	−0.0379586	−	0.336892i	−0.998311	−	0.0581019i	$-0.981495\pi$
$251$	−0.601378	−	5.33738i	−0.0379586	−	0.336892i	0.960352	−	0.278790i	$-0.0899334\pi$
$252$	2.49681	−	6.55131i	0.157284	−	0.412694i
$253$	−11.6476	+	7.31865i	−0.732276	+	0.460120i
$254$	−3.35313	+	18.2137i	−0.210394	+	1.14283i
$255$	19.0149	−	39.4848i	1.19076	−	2.47263i
$256$	−15.9031	−	1.75785i	−0.993946	−	0.109866i
$257$	−7.06642	+	8.86101i	−0.440791	+	0.552735i	−0.951752	−	0.306870i	$-0.900718\pi$
$257$	−7.06642	+	8.86101i	−0.440791	+	0.552735i	0.510960	+	0.859604i	$0.329290\pi$
$258$	2.36224	+	3.42827i	0.147067	+	0.213434i
$259$	2.02633	+	0.709044i	0.125910	+	0.0440579i
$260$	−14.6187	−	2.05595i	−0.906613	−	0.127504i
$261$	21.4039	+	9.91248i	1.32487	+	0.613567i
$262$	12.8339	−	11.1552i	0.792879	−	0.689172i
$263$	−2.79225	+	7.97980i	−0.172178	+	0.492056i	−0.997344	−	0.0728341i	$-0.976796\pi$
$263$	−2.79225	+	7.97980i	−0.172178	+	0.492056i	0.825166	+	0.564890i	$0.191081\pi$
$264$	16.2353	+	32.4732i	0.999215	+	1.99859i
$265$	29.3030	+	23.3683i	1.80007	+	1.43551i
$266$	2.58817	−	6.01301i	0.158691	−	0.368681i
$267$	−4.75632	−	2.29052i	−0.291082	−	0.140178i
$268$	−5.32264	−	9.01231i	−0.325132	−	0.550515i
$269$	−1.72270	−	2.74167i	−0.105035	−	0.167162i	0.790071	−	0.613015i	$-0.210043\pi$
$269$	−1.72270	−	2.74167i	−0.105035	−	0.167162i	−0.895106	+	0.445853i	$0.852901\pi$
$270$	12.9437	−	6.92292i	0.787726	−	0.421316i
$271$	−6.94122	+	0.782088i	−0.421649	+	0.0475085i	−0.320240	−	0.947336i	$-0.603764\pi$
$271$	−6.94122	+	0.782088i	−0.421649	+	0.0475085i	−0.101409	+	0.994845i	$0.532335\pi$
$272$	17.3641	−	15.5505i	1.05285	−	0.942890i
$273$	4.09915	−	4.09915i	0.248092	−	0.248092i
$274$	0.574567	+	0.419682i	0.0347108	+	0.0253539i
$275$	11.8788	−	4.15658i	0.716320	−	0.250651i
$276$	3.09419	+	15.5127i	0.186248	+	0.933756i
$277$	4.29722	+	18.8274i	0.258195	+	1.13123i	0.923179	+	0.384369i	$0.125581\pi$
$277$	4.29722	+	18.8274i	0.258195	+	1.13123i	−0.664984	+	0.746857i	$0.731562\pi$
$278$	5.66085	+	0.396117i	0.339515	+	0.0237575i
$279$	0.692659	−	1.10236i	0.0414684	−	0.0659966i
$280$	−3.97920	−	4.84085i	−0.237803	−	0.289296i
$281$	5.02994	−	22.0376i	0.300061	−	1.31465i	−0.569973	−	0.821663i	$-0.693046\pi$
$281$	5.02994	−	22.0376i	0.300061	−	1.31465i	0.870034	−	0.492991i	$-0.164097\pi$
$282$	8.85839	+	2.68461i	0.527509	+	0.159866i
$283$	1.20870	+	1.51566i	0.0718497	+	0.0900967i	0.816457	−	0.577406i	$-0.195935\pi$
$283$	1.20870	+	1.51566i	0.0718497	+	0.0900967i	−0.744608	+	0.667502i	$0.767363\pi$
$284$	−12.4868	−	8.33387i	−0.740954	−	0.494524i
$285$	39.1907	−	18.8732i	2.32146	−	1.11795i
$286$	0.754114	+	17.8008i	0.0445917	+	1.05258i
$287$	−0.844053	+	7.49117i	−0.0498228	+	0.442190i
$288$	24.6553	−	2.46120i	1.45283	−	0.145027i
$289$			16.9583i			0.997545i
$290$	17.1781	−	12.2229i	1.00873	−	0.717754i
$291$		−	4.80498i		−	0.281673i
$292$	2.94281	−	5.70375i	0.172215	−	0.333787i
$293$	−2.23154	+	19.8054i	−0.130368	+	1.15705i	0.742761	+	0.669557i	$0.233516\pi$
$293$	−2.23154	+	19.8054i	−0.130368	+	1.15705i	−0.873129	+	0.487490i	$0.837913\pi$
$294$	−24.4108	+	1.03414i	−1.42366	+	0.0603124i
$295$	−27.7501	+	13.3638i	−1.61568	+	0.778069i
$296$	0.961103	+	7.52602i	0.0558630	+	0.437441i
$297$	−11.0455	−	13.8506i	−0.640923	−	0.803692i
$298$	2.51276	−	8.29133i	0.145560	−	0.480304i
$299$	−1.72737	+	7.56809i	−0.0998963	+	0.437674i
$300$	0.398242	−	14.4663i	0.0229925	−	0.835212i
$301$	−0.461412	+	0.734332i	−0.0265953	+	0.0423262i
$302$	−0.784644	+	11.2132i	−0.0451512	+	0.645249i
$303$	2.04062	+	8.94056i	0.117231	+	0.513622i
$304$	23.0981	−	1.32163i	1.32477	−	0.0758005i
$305$	14.0811	−	4.92720i	0.806283	−	0.282131i
$306$	−21.2917	+	29.1494i	−1.21717	+	1.66636i
$307$	0.315168	−	0.315168i	0.0179876	−	0.0179876i	−0.698056	−	0.716043i	$-0.745951\pi$
$307$	0.315168	−	0.315168i	0.0179876	−	0.0179876i	0.716043	+	0.698056i	$0.245951\pi$
$308$	−4.87629	+	5.78087i	−0.277852	+	0.329396i
$309$	0.651449	−	0.0734007i	0.0370597	−	0.00417562i
$310$	−0.548812	−	1.02610i	−0.0311704	−	0.0582787i
$311$	−13.1460	−	20.9217i	−0.745438	−	1.18636i	−0.976938	−	0.213523i	$-0.931506\pi$
$311$	−13.1460	−	20.9217i	−0.745438	−	1.18636i	0.231499	−	0.972835i	$-0.425637\pi$
$312$	19.4362	+	6.47942i	1.10036	+	0.366825i
$313$	7.14270	+	3.43974i	0.403729	+	0.194426i	0.624718	−	0.780851i	$-0.285214\pi$
$313$	7.14270	+	3.43974i	0.403729	+	0.194426i	−0.220989	+	0.975276i	$0.570928\pi$
$314$	12.1587	+	5.23347i	0.686157	+	0.295342i
$315$	7.58710	+	6.05051i	0.427485	+	0.340908i
$316$	16.9775	+	4.36983i	0.955058	+	0.245822i
$317$	−8.45951	+	24.1759i	−0.475134	+	1.35785i	0.418157	+	0.908375i	$0.362676\pi$
$317$	−8.45951	+	24.1759i	−0.475134	+	1.35785i	−0.893291	+	0.449479i	$0.851610\pi$
$318$	−34.1233	−	39.2581i	−1.91354	−	2.20148i
$319$	−18.2615	−	17.7184i	−1.02245	−	0.992042i
$320$	9.01358	−	20.2292i	0.503874	−	1.13085i
$321$	−17.5793	−	6.15126i	−0.981181	−	0.343330i
$322$	−2.71336	+	1.86963i	−0.151209	+	0.104191i
$323$	−21.0149	+	26.3519i	−1.16930	+	1.46626i
$324$	5.62946	−	1.79754i	0.312748	−	0.0998635i
$325$	3.08141	−	6.39861i	0.170926	−	0.354931i
$326$	−5.80538	−	1.06876i	−0.321530	−	0.0591934i
$327$	17.7132	−	11.1300i	0.979543	−	0.615488i
$328$	−25.0143	+	9.17108i	−1.38118	+	0.506388i
$329$	0.215887	+	1.91605i	0.0119022	+	0.105635i
$330$	−49.6537	+	7.73509i	−2.73335	+	0.425802i
$331$	−1.02297	−	1.02297i	−0.0562275	−	0.0562275i	0.678434	−	0.734661i	$-0.262659\pi$
$331$	−1.02297	−	1.02297i	−0.0562275	−	0.0562275i	−0.734661	+	0.678434i	$0.762659\pi$
$332$	19.5967	−	1.66338i	1.07551	−	0.0912900i
$333$	−3.88064	−	11.0902i	−0.212658	−	0.607741i
$334$	−3.29388	+	5.77080i	−0.180233	+	0.315764i
$335$	14.1243	−	3.22379i	0.771695	−	0.176134i
$336$	4.21477	+	7.60706i	0.229934	+	0.414999i
$337$	11.7762	+	7.39948i	0.641491	+	0.403075i	0.813128	−	0.582085i	$-0.197763\pi$
$337$	11.7762	+	7.39948i	0.641491	+	0.403075i	−0.171637	+	0.985160i	$0.554906\pi$
$338$	−6.13464	−	5.63598i	−0.333680	−	0.306557i
$339$	27.2794	+	6.22635i	1.48161	+	0.338169i
$340$	13.1936	+	29.4430i	0.715522	+	1.59677i
$341$	−1.09800	+	0.875625i	−0.0594600	+	0.0474177i
$342$	−34.5615	+	9.44393i	−1.86887	+	0.510669i
$343$	−4.63898	−	9.63295i	−0.250482	−	0.520130i
$344$	−3.05052	−	0.298011i	−0.164473	−	0.0160677i
$345$	−21.7573	−	2.45146i	−1.17137	−	0.131982i
$346$	15.4002	−	6.13209i	0.827922	−	0.329663i
$347$	30.3501			1.62928			0.814639	−	0.579968i	$-0.196935\pi$
$347$	30.3501			1.62928			0.814639	+	0.579968i	$0.196935\pi$
$348$	−26.5173	+	12.3664i	−1.42148	+	0.662910i
$349$	22.9901			1.23063			0.615316	−	0.788280i	$-0.289028\pi$
$349$	22.9901			1.23063			0.615316	+	0.788280i	$0.289028\pi$
$350$	2.80076	−	1.11521i	0.149707	−	0.0596106i
$351$	−9.93427	−	1.11932i	−0.530252	−	0.0597451i
$352$	−25.9805	−	6.27819i	−1.38476	−	0.334628i
$353$	3.58553	+	7.44544i	0.190839	+	0.396281i	0.974331	−	0.225121i	$-0.0722778\pi$
$353$	3.58553	+	7.44544i	0.190839	+	0.396281i	−0.783492	+	0.621402i	$0.786563\pi$
$354$	41.2336	−	11.2671i	2.19154	−	0.598839i
$355$	16.2461	−	12.9558i	0.862253	−	0.687624i
$356$	3.54669	−	1.58929i	0.187974	−	0.0842323i
$357$	−12.3520	−	2.81926i	−0.653737	−	0.149211i
$358$	22.2235	+	20.4170i	1.17455	+	1.07907i
$359$	−7.38962	−	4.64321i	−0.390009	−	0.245059i	0.322726	−	0.946493i	$-0.395401\pi$
$359$	−7.38962	−	4.64321i	−0.390009	−	0.245059i	−0.712735	+	0.701433i	$0.752544\pi$
$360$	−7.13543	+	33.5459i	−0.376070	+	1.76803i
$361$	−14.0919	+	3.21638i	−0.741678	+	0.169283i
$362$	−4.06627	+	7.12400i	−0.213718	+	0.374429i
$363$	10.1614	+	29.0396i	0.533334	+	1.52418i
$364$	0.360957	+	4.25253i	0.0189193	+	0.222893i
$365$	6.28176	+	6.28176i	0.328802	+	0.328802i
$366$	−20.4572	+	3.18683i	−1.06931	+	0.166578i
$367$	−0.0903712	−	0.802066i	−0.00471734	−	0.0418675i	0.991133	−	0.132873i	$-0.0424204\pi$
$367$	−0.0903712	−	0.802066i	−0.00471734	−	0.0418675i	−0.995850	+	0.0910059i	$0.970992\pi$
$368$	−10.1983	−	5.62237i	−0.531625	−	0.293086i
$369$	34.9350	−	21.9511i	1.81864	−	1.14273i
$370$	−10.3282	−	1.90142i	−0.536938	−	0.0988499i
$371$	4.70128	−	9.76231i	0.244078	−	0.506834i
$372$	0.491231	+	1.53841i	0.0254691	+	0.0797629i
$373$	10.0101	−	12.5523i	0.518306	−	0.649935i	−0.451943	−	0.892047i	$-0.649269\pi$
$373$	10.0101	−	12.5523i	0.518306	−	0.649935i	0.970248	+	0.242112i	$0.0778402\pi$
$374$	32.0641	−	22.0937i	1.65800	−	1.14244i
$375$	−16.5853	−	5.80346i	−0.856463	−	0.299689i
$376$	−5.71563	+	3.71061i	−0.294761	+	0.191360i
$377$	−14.3571	+	0.216702i	−0.739428	+	0.0111607i
$378$	−2.78389	−	3.20281i	−0.143188	−	0.164735i
$379$	8.26401	−	23.6172i	0.424494	−	1.21313i	−0.510935	−	0.859619i	$-0.670701\pi$
$379$	8.26401	−	23.6172i	0.424494	−	1.21313i	0.935429	−	0.353514i	$-0.115013\pi$
$380$	−7.98238	+	31.0128i	−0.409487	+	1.59092i
$381$	27.8142	+	22.1811i	1.42496	+	1.13637i
$382$	−11.0905	−	4.77369i	−0.567442	−	0.244243i
$383$	−17.4585	−	8.40756i	−0.892087	−	0.429606i	−0.0690622	−	0.997612i	$-0.522001\pi$
$383$	−17.4585	−	8.40756i	−0.892087	−	0.429606i	−0.823024	+	0.568006i	$0.807715\pi$
$384$	−17.3855	+	25.3456i	−0.887202	+	1.29341i
$385$	−5.56939	−	8.86364i	−0.283842	−	0.451733i
$386$	0.458605	+	0.857445i	0.0233424	+	0.0436428i
$387$	4.71673	−	0.531448i	0.239765	−	0.0270150i
$388$	2.70394	+	2.28083i	0.137272	+	0.115792i
$389$	−8.98370	+	8.98370i	−0.455492	+	0.455492i	−0.897172	−	0.441681i	$-0.854382\pi$
$389$	−8.98370	+	8.98370i	−0.455492	+	0.455492i	0.441681	+	0.897172i	$0.354382\pi$
$390$	−16.7268	+	22.8999i	−0.846994	+	1.15958i
$391$	16.0136	−	5.60339i	0.809841	−	0.283376i
$392$	11.0054	−	14.2277i	0.555854	−	0.718609i
$393$	−7.26855	−	31.8456i	−0.366650	−	1.60640i
$394$	−2.09259	+	29.9049i	−0.105423	+	1.50659i
$395$	−12.9100	+	20.5461i	−0.649571	+	1.03379i
$396$	41.3762	+	1.13904i	2.07923	+	0.0572391i
$397$	5.36927	−	23.5243i	0.269476	−	1.18065i	−0.641148	−	0.767417i	$-0.721542\pi$
$397$	5.36927	−	23.5243i	0.269476	−	1.18065i	0.910624	−	0.413235i	$-0.135601\pi$
$398$	−0.764651	+	2.52311i	−0.0383285	+	0.126472i
$399$	−7.84056	−	9.83175i	−0.392519	−	0.492203i
$400$	7.95168	+	7.09097i	0.397584	+	0.354548i
$401$	−31.6555	+	15.2445i	−1.58080	+	0.761273i	−0.998657	−	0.0518133i	$-0.983500\pi$
$401$	−31.6555	+	15.2445i	−1.58080	+	0.761273i	−0.582143	+	0.813086i	$0.697786\pi$
$402$	−20.0881	+	0.851016i	−1.00190	+	0.0424448i
$403$	−0.0887339	+	0.787536i	−0.00442015	+	0.0392299i
$404$	−5.99983	−	3.09557i	−0.298503	−	0.154010i
$405$			8.17963i			0.406449i
$406$	−4.55009	−	4.05532i	−0.225817	−	0.201262i
$407$			12.6745i			0.628249i
$408$	−10.6094	−	43.5015i	−0.525244	−	2.15364i
$409$	1.92234	−	17.0612i	0.0950535	−	0.843623i	−0.852217	−	0.523188i	$-0.824742\pi$
$409$	1.92234	−	17.0612i	0.0950535	−	0.843623i	0.947271	−	0.320435i	$-0.103829\pi$
$410$	−1.56088	−	36.8443i	−0.0770863	−	1.81961i
$411$	1.23144	−	0.593031i	0.0607426	−	0.0292521i
$412$	−0.267925	+	0.401437i	−0.0131997	+	0.0197774i
$413$	5.55174	+	6.96167i	0.273183	+	0.342561i
$414$	17.2592	+	5.23055i	0.848244	+	0.257067i
$415$	−6.05756	+	26.5399i	−0.297354	+	1.30279i
$416$	−12.8722	+	7.86181i	−0.631111	+	0.385457i
$417$	5.79960	−	9.23001i	0.284008	−	0.451996i
$418$	38.5546	+	2.69785i	1.88577	+	0.131956i
$419$	−0.603129	−	2.64248i	−0.0294648	−	0.129094i	0.958056	−	0.286580i	$-0.0925183\pi$
$419$	−0.603129	−	2.64248i	−0.0294648	−	0.129094i	−0.987521	+	0.157486i	$0.949661\pi$
$420$	−11.8050	+	2.35463i	−0.576023	+	0.114894i
$421$	13.7055	−	4.79576i	0.667965	−	0.233731i	0.0250706	−	0.999686i	$-0.492019\pi$
$421$	13.7055	−	4.79576i	0.667965	−	0.233731i	0.642895	+	0.765955i	$0.277733\pi$
$422$	2.31993	+	1.69455i	0.112932	+	0.0824894i
$423$	7.46211	−	7.46211i	0.362820	−	0.362820i
$424$	38.2896	−	0.567372i	1.85951	−	0.0275540i
$425$	−15.4238	+	1.73785i	−0.748166	+	0.0842981i
$426$	−25.4295	+	13.6010i	−1.23206	+	0.658969i
$427$	−2.29457	−	3.65179i	−0.111042	−	0.176722i
$428$	11.8061	−	6.97264i	0.570669	−	0.337035i
$429$	30.8358	+	14.8497i	1.48877	+	0.716952i
$430$	1.67731	−	3.89684i	0.0808872	−	0.187922i
$431$	19.5342	+	15.5780i	0.940931	+	0.750368i	0.968438	−	0.249254i	$-0.0801854\pi$
$431$	19.5342	+	15.5780i	0.940931	+	0.750368i	−0.0275070	+	0.999622i	$0.508757\pi$
$432$	5.72466	−	13.8619i	0.275428	−	0.666932i
$433$	5.42067	−	15.4914i	0.260501	−	0.744469i	−0.737135	−	0.675746i	$-0.763822\pi$
$433$	5.42067	−	15.4914i	0.260501	−	0.744469i	0.997636	−	0.0687232i	$-0.0218925\pi$
$434$	−0.253901	+	0.220692i	−0.0121877	+	0.0105935i
$435$	−5.14132	−	40.1715i	−0.246508	−	1.92608i
$436$	−2.14488	+	15.2511i	−0.102721	+	0.730393i
$437$	15.8943	+	5.56166i	0.760327	+	0.266050i
$438$	−6.99542	−	10.1523i	−0.334254	−	0.485096i
$439$	11.9538	−	14.9896i	0.570524	−	0.715415i	−0.409940	−	0.912113i	$-0.634450\pi$
$439$	11.9538	−	14.9896i	0.570524	−	0.715415i	0.980464	+	0.196698i	$0.0630217\pi$
$440$	19.2168	−	31.6137i	0.916126	−	1.50712i
$441$	−12.0861	+	25.0970i	−0.575527	+	1.19510i
$442$	3.97849	−	21.6106i	0.189238	−	1.02791i
$443$	−5.02648	+	3.15834i	−0.238815	+	0.150057i	−0.646123	−	0.763234i	$-0.723611\pi$
$443$	−5.02648	+	3.15834i	−0.238815	+	0.150057i	0.407308	+	0.913291i	$0.366468\pi$
$444$	13.6190	+	5.19042i	0.646330	+	0.246326i
$445$	0.602315	+	5.34569i	0.0285525	+	0.253410i
$446$	6.10319	+	39.1781i	0.288994	+	1.85513i
$447$	−11.7681	−	11.7681i	−0.556613	−	0.556613i
$448$	−6.28144	−	1.23912i	−0.296770	−	0.0585428i
$449$	−7.03778	−	20.1128i	−0.332133	−	0.949182i	−0.981958	−	0.189098i	$-0.939444\pi$
$449$	−7.03778	−	20.1128i	−0.332133	−	0.949182i	0.649825	−	0.760084i	$-0.274842\pi$
$450$	−14.3293	−	8.17893i	−0.675490	−	0.385558i
$451$	−43.3909	+	9.90369i	−2.04320	+	0.466346i
$452$	−16.4528	+	12.3956i	−0.773874	+	0.583040i
$453$	18.2832	+	11.4881i	0.859018	+	0.539757i
$454$	−23.4576	+	25.5331i	−1.10092	+	1.19833i
$455$	−5.75921	−	1.31450i	−0.269996	−	0.0616249i
$456$	18.6877	−	40.3231i	0.875132	−	1.88830i
$457$	−17.0415	+	13.5901i	−0.797166	+	0.635718i	−0.934964	−	0.354742i	$-0.884569\pi$
$457$	−17.0415	+	13.5901i	−0.797166	+	0.635718i	0.137799	+	0.990460i	$0.455997\pi$
$458$	−5.14523	−	18.8298i	−0.240421	−	0.879857i
$459$	9.47992	+	19.6853i	0.442485	+	0.918829i
$460$	11.7073	−	11.0800i	0.545855	−	0.516607i
$461$	−36.6266	−	4.12683i	−1.70587	−	0.192206i	−0.795488	−	0.605970i	$-0.792785\pi$
$461$	−36.6266	−	4.12683i	−1.70587	−	0.192206i	−0.910384	+	0.413764i	$0.864214\pi$
$462$	5.37437	+	13.4973i	0.250038	+	0.627949i
$463$	23.8950			1.11050			0.555248	−	0.831685i	$-0.312623\pi$
$463$	23.8950			1.11050			0.555248	+	0.831685i	$0.312623\pi$
$464$	5.62820	−	20.7924i	0.261283	−	0.965262i
$465$	−2.23532			−0.103661
$466$	−7.52771	−	18.9052i	−0.348715	−	0.875767i
$467$	−33.6951	−	3.79652i	−1.55922	−	0.175682i	−0.710185	−	0.704015i	$-0.751389\pi$
$467$	−33.6951	−	3.79652i	−1.55922	−	0.175682i	−0.849037	+	0.528333i	$0.822817\pi$
$468$	16.9649	−	16.0558i	0.784201	−	0.742181i
$469$	−1.81724	−	3.77355i	−0.0839126	−	0.174246i
$470$	−2.48622	−	9.09872i	−0.114681	−	0.419693i
$471$	19.8805	−	15.8542i	0.916045	−	0.730521i
$472$	−13.2324	+	28.5520i	−0.609070	+	1.31421i
$473$	−4.99183	−	1.13935i	−0.229525	−	0.0523875i
$474$	22.7833	−	24.7991i	1.04647	−	1.13906i
$475$	−13.0445	−	8.19639i	−0.598522	−	0.376076i
$476$	7.44975	−	5.61268i	0.341459	−	0.257257i
$477$	−57.8156	+	13.1960i	−2.64720	+	0.604205i
$478$	−34.8216	−	19.8756i	−1.59270	−	0.909089i
$479$	0.848048	+	2.42358i	0.0387483	+	0.110736i	0.961632	−	0.274342i	$-0.0884601\pi$
$479$	0.848048	+	2.42358i	0.0387483	+	0.110736i	−0.922884	+	0.385079i	$0.874174\pi$
$480$	−26.1001	−	33.5953i	−1.19130	−	1.53341i
$481$	5.05749	+	5.05749i	0.230602	+	0.230602i
$482$	−3.32061	−	21.3159i	−0.151250	−	0.970914i
$483$	0.708711	+	6.28999i	0.0322475	+	0.286204i
$484$	−21.1650	−	8.06632i	−0.962048	−	0.366651i
$485$	−4.14587	+	2.60502i	−0.188254	+	0.118288i
$486$	4.93544	−	26.8086i	0.223876	−	1.21606i
$487$	−17.3472	+	36.0219i	−0.786077	+	1.63231i	−0.0114114	+	0.999935i	$0.503632\pi$
$487$	−17.3472	+	36.0219i	−0.786077	+	1.63231i	−0.774666	+	0.632371i	$0.782082\pi$
$488$	7.91727	−	13.0247i	0.358398	−	0.589602i
$489$	−7.06993	+	8.86541i	−0.319713	+	0.400908i
$490$	14.1266	+	20.5016i	0.638174	+	0.926169i
$491$	2.18407	+	0.764240i	0.0985659	+	0.0344897i	0.379111	−	0.925351i	$-0.376230\pi$
$491$	2.18407	+	0.764240i	0.0985659	+	0.0344897i	−0.280546	+	0.959841i	$0.590515\pi$
$492$	−7.12759	+	50.6803i	−0.321337	+	2.28485i
$493$	17.0950	+	26.3164i	0.769920	+	1.18523i
$494$	16.4610	−	14.3079i	0.740614	−	0.643744i
$495$	−18.9226	+	54.0777i	−0.850507	+	2.43061i
$496$	−1.09890	−	0.453820i	−0.0493420	−	0.0203771i
$497$	−4.69671	−	3.74550i	−0.210676	−	0.168009i
$498$	14.9366	−	34.7018i	0.669327	−	1.55502i
$499$	13.1956	+	6.35469i	0.590718	+	0.284475i	0.705266	−	0.708943i	$-0.250828\pi$
$499$	13.1956	+	6.35469i	0.590718	+	0.284475i	−0.114548	+	0.993418i	$0.536542\pi$
$500$	11.1386	−	6.57839i	0.498131	−	0.294195i
$501$	6.79093	+	10.8077i	0.303396	+	0.482853i
$502$	6.69808	−	3.58247i	0.298950	−	0.159894i
$503$	26.6736	−	3.00540i	1.18932	−	0.134004i	0.504955	−	0.863145i	$-0.331509\pi$
$503$	26.6736	−	3.00540i	1.18932	−	0.134004i	0.684363	+	0.729141i	$0.260080\pi$
$504$	9.91392	−	0.146904i	0.441601	−	0.00654360i
$505$	6.60784	−	6.60784i	0.294045	−	0.294045i
$506$	−15.7095	−	11.4747i	−0.698372	−	0.510113i
$507$	−15.1046	+	5.28533i	−0.670819	+	0.234730i
$508$	−25.6850	+	5.12316i	−1.13959	+	0.227303i
$509$	−5.55215	−	24.3256i	−0.246095	−	1.07821i	−0.935359	−	0.353701i	$-0.884923\pi$
$509$	−5.55215	−	24.3256i	−0.246095	−	1.07821i	0.689264	−	0.724510i	$-0.257934\pi$
$510$	61.8264	+	4.32629i	2.73772	+	0.191571i
$511$	1.36640	−	2.17462i	0.0604461	−	0.0961994i
$512$	−6.01036	−	21.8146i	−0.265623	−	0.964077i
$513$	−4.82564	+	21.1425i	−0.213057	+	0.933466i
$514$	−15.3393	−	4.64870i	−0.676586	−	0.205045i
$515$	−0.416516	−	0.522294i	−0.0183539	−	0.0230150i
$516$	−3.26851	+	4.89726i	−0.143888	+	0.215590i
$517$	−10.2564	+	4.93920i	−0.451074	+	0.217226i
$518$	0.128504	+	3.03332i	0.00564614	+	0.133276i
$519$	3.56519	−	31.6419i	0.156494	−	1.38893i
$520$	−4.94672	−	20.2829i	−0.216928	−	0.889464i
$521$		−	7.12512i		−	0.312157i	−0.987745	−	0.156079i	$-0.950115\pi$
$521$		−	7.12512i		−	0.312157i	0.987745	−	0.156079i	$-0.0498853\pi$
$522$	−1.82606	+	33.3082i	−0.0799245	+	1.45786i
$523$			38.0156i			1.66231i	0.556042	+	0.831154i	$0.312319\pi$
$523$			38.0156i			1.66231i	−0.556042	+	0.831154i	$0.687681\pi$
$524$	21.3709	+	11.0262i	0.933594	+	0.481682i
$525$	0.648382	−	5.75455i	0.0282977	−	0.251149i
$526$	−11.9454	+	0.506056i	−0.520843	+	0.0220651i
$527$	1.56054	−	0.751517i	0.0679782	−	0.0327366i
$528$	−34.1724	+	38.3203i	−1.48716	+	1.66767i
$529$	9.05552	+	11.3553i	0.393718	+	0.493707i
$530$	−15.3730	+	50.7263i	−0.667762	+	2.20341i
$531$	10.8443	−	47.5119i	0.470602	−	2.06184i
$532$	9.25445	+	0.254766i	0.401231	+	0.0110455i
$533$	−13.3624	+	21.2661i	−0.578790	+	0.921139i
$534$	0.521143	−	7.44759i	0.0225521	−	0.322289i
$535$	4.22315	+	18.5028i	0.182583	+	0.799947i
$536$	9.05653	−	11.7083i	0.391183	−	0.505721i
$537$	54.7183	−	19.1468i	2.36127	−	0.826243i
$538$	2.70098	−	3.69778i	0.116447	−	0.159423i
$539$	21.2473	−	21.2473i	0.915187	−	0.915187i
$540$	15.8676	+	13.3847i	0.682833	+	0.575984i
$541$	−22.4426	+	2.52867i	−0.964882	+	0.108716i	−0.580325	−	0.814385i	$-0.697074\pi$
$541$	−22.4426	+	2.52867i	−0.964882	+	0.108716i	−0.384557	+	0.923101i	$0.625646\pi$
$542$	−4.65899	−	8.71082i	−0.200121	−	0.374162i
$543$	8.38335	+	13.3420i	0.359764	+	0.572561i
$544$	29.5160	+	14.6790i	1.26549	+	0.629356i
$545$	−19.2065	−	9.24935i	−0.822715	−	0.396198i
$546$	7.53035	+	3.24128i	0.322269	+	0.138714i
$547$	−17.3138	−	13.8073i	−0.740283	−	0.590356i	0.179048	−	0.983840i	$-0.442698\pi$
$547$	−17.3138	−	13.8073i	−0.740283	−	0.590356i	−0.919331	+	0.393484i	$0.871270\pi$
$548$	−0.250821	+	0.974478i	−0.0107145	+	0.0416277i
$549$	−7.79605	+	22.2798i	−0.332727	+	0.950880i
$550$	11.6759	+	13.4328i	0.497861	+	0.572778i
$551$	−3.01991	+	31.0009i	−0.128652	+	1.32068i
$552$	−18.7632	+	12.1811i	−0.798614	+	0.518464i
$553$	6.62140	+	2.31693i	0.281571	+	0.0985259i
$554$	−22.4889	+	15.4959i	−0.955460	+	0.658358i
$555$	−12.5779	+	15.7722i	−0.533904	+	0.669495i
$556$	2.44111	+	7.64495i	0.103526	+	0.324218i
$557$	7.97886	−	16.5683i	0.338075	−	0.702020i	−0.660744	−	0.750612i	$-0.729759\pi$
$557$	7.97886	−	16.5683i	0.338075	−	0.702020i	0.998819	+	0.0485915i	$0.0154732\pi$
$558$	1.81075	+	0.333358i	0.0766552	+	0.0141122i
$559$	−2.44653	+	1.53726i	−0.103477	+	0.0650190i
$560$	4.27855	−	7.76079i	0.180802	−	0.327953i
$561$	−8.37494	−	74.3296i	−0.353590	−	3.13820i
$562$	31.5864	−	4.92056i	1.33239	−	0.207561i
$563$	−27.2146	−	27.2146i	−1.14696	−	1.14696i	−0.987147	−	0.159814i	$-0.948911\pi$
$563$	−27.2146	−	27.2146i	−1.14696	−	1.14696i	−0.159814	−	0.987147i	$-0.551089\pi$
$564$	1.10713	+	13.0434i	0.0466187	+	0.549227i
$565$	−9.41728	−	26.9130i	−0.396188	−	1.13224i
$566$	−1.35906	+	2.38104i	−0.0571254	+	0.100082i
$567$	2.30542	−	0.526198i	0.0968187	−	0.0220982i
$568$	4.41710	−	20.7662i	0.185337	−	0.871331i
$569$	−6.77494	−	4.25698i	−0.284020	−	0.178462i	0.382486	−	0.923961i	$-0.375068\pi$
$569$	−6.77494	−	4.25698i	−0.284020	−	0.178462i	−0.666506	+	0.745500i	$0.732211\pi$
$570$	45.3005	+	41.6183i	1.89743	+	1.74320i
$571$	30.0769	+	6.86486i	1.25868	+	0.287285i	0.799288	−	0.600948i	$-0.205210\pi$
$571$	30.0769	+	6.86486i	1.25868	+	0.287285i	0.459392	+	0.888234i	$0.348067\pi$
$572$	−22.9936	+	10.3036i	−0.961413	+	0.430814i
$573$	−18.1339	+	14.4613i	−0.757556	+	0.604131i
$574$	−10.2841	+	2.81014i	−0.429251	+	0.117293i
$575$	3.36457	+	6.98660i	0.140312	+	0.291361i
$576$	16.1326	+	31.1067i	0.672190	+	1.29611i
$577$	18.6080	+	2.09662i	0.774661	+	0.0872833i	0.490439	−	0.871475i	$-0.336836\pi$
$577$	18.6080	+	2.09662i	0.774661	+	0.0872833i	0.284221	+	0.958759i	$0.408265\pi$
$578$	−22.2812	+	8.87198i	−0.926777	+	0.369026i
$579$	1.86791			0.0776275
$580$	25.0465	+	16.1754i	1.04000	+	0.671648i
$581$	7.86994			0.326500
$582$	6.31320	−	2.51380i	0.261690	−	0.104200i
$583$	63.5683	+	7.16242i	2.63273	+	0.296637i
$584$	9.03366	+	0.882516i	0.373816	+	0.0365188i
$585$	14.0279	+	29.1293i	0.579984	+	1.20435i
$586$	−27.1896	+	7.42955i	−1.12319	+	0.306912i
$587$	−22.9858	+	18.3306i	−0.948725	+	0.756583i	−0.969978	−	0.243191i	$-0.921806\pi$
$587$	−22.9858	+	18.3306i	−0.948725	+	0.756583i	0.0212533	+	0.999774i	$0.493234\pi$
$588$	−14.1296	−	31.5319i	−0.582696	−	1.30036i
$589$	1.67607	+	0.382551i	0.0690611	+	0.0157627i
$590$	−32.0764	−	29.4691i	−1.32056	−	1.21322i
$591$	48.7599	+	30.6379i	2.00572	+	1.26027i
$592$	−9.38552	+	5.20014i	−0.385743	+	0.213724i
$593$	6.64250	−	1.51611i	0.272775	−	0.0622591i	−0.0839453	−	0.996470i	$-0.526752\pi$
$593$	6.64250	−	1.51611i	0.272775	−	0.0622591i	0.356720	+	0.934211i	$0.383895\pi$
$594$	12.4195	−	21.7586i	0.509577	−	0.892768i
$595$	4.26410	+	12.1861i	0.174811	+	0.499582i
$596$	12.2085	−	1.03626i	0.500078	−	0.0424470i
$597$	3.58113	+	3.58113i	0.146566	+	0.146566i
$598$	−10.8473	+	1.68980i	−0.443580	+	0.0691012i
$599$	1.05006	+	9.31958i	0.0429045	+	0.380788i	0.996754	+	0.0805037i	$0.0256529\pi$
$599$	1.05006	+	9.31958i	0.0429045	+	0.380788i	−0.953850	+	0.300284i	$0.902919\pi$
$600$	19.2154	−	7.04502i	0.784466	−	0.287612i
$601$	23.0323	−	14.4721i	0.939507	−	0.590331i	0.0271074	−	0.999633i	$-0.491370\pi$
$601$	23.0323	−	14.4721i	0.939507	−	0.590331i	0.912399	+	0.409301i	$0.134228\pi$
$602$	−1.20622	−	0.222065i	−0.0491620	−	0.00905069i
$603$	−9.94588	+	20.6528i	−0.405027	+	0.841048i
$604$	−15.1434	+	4.83545i	−0.616177	+	0.196752i
$605$	19.5471	−	24.5113i	0.794704	−	0.996528i
$606$	−10.6793	+	7.35854i	−0.433817	+	0.298920i
$607$	−20.5398	−	7.18720i	−0.833686	−	0.291719i	−0.120517	−	0.992711i	$-0.538455\pi$
$607$	−20.5398	−	7.18720i	−0.833686	−	0.291719i	−0.713169	+	0.700992i	$0.752741\pi$
$608$	13.8206	+	29.6568i	0.560499	+	1.20274i
$609$	−10.9916	+	4.03332i	−0.445401	+	0.163439i
$610$	13.8405	+	15.9233i	0.560387	+	0.644714i
$611$	−2.12171	+	6.06349i	−0.0858351	+	0.245303i
$612$	−49.4381	−	12.7249i	−1.99842	−	0.514372i
$613$	−24.5855	−	19.6063i	−0.993000	−	0.791891i	−0.0148705	−	0.999889i	$-0.504734\pi$
$613$	−24.5855	−	19.6063i	−0.993000	−	0.791891i	−0.978129	+	0.207999i	$0.933305\pi$
$614$	0.578980	+	0.249210i	0.0233657	+	0.0100573i
$615$	−63.8244	−	30.7362i	−2.57365	−	1.23940i
$616$	−10.1465	−	3.38253i	−0.408815	−	0.136286i
$617$	−2.79459	−	4.44756i	−0.112506	−	0.179052i	0.785725	−	0.618576i	$-0.212290\pi$
$617$	−2.79459	−	4.44756i	−0.112506	−	0.179052i	−0.898231	+	0.439524i	$0.855147\pi$
$618$	0.437256	+	0.817530i	0.0175890	+	0.0328859i
$619$	−1.76648	+	0.199034i	−0.0710008	+	0.00799987i	−0.147393	−	0.989078i	$-0.547088\pi$
$619$	−1.76648	+	0.199034i	−0.0710008	+	0.00799987i	0.0763926	+	0.997078i	$0.475660\pi$
$620$	1.06106	−	1.25790i	0.0426133	−	0.0505184i
$621$	7.71864	−	7.71864i	0.309738	−	0.309738i
$622$	20.6112	−	28.2178i	0.826433	−	1.13143i
$623$	1.46793	−	0.513652i	0.0588115	−	0.0205790i
$624$	1.65513	+	28.9267i	0.0662582	+	1.15800i
$625$	6.94783	+	30.4404i	0.277913	+	1.21762i
$626$	−0.782615	+	11.1842i	−0.0312796	+	0.447012i
$627$	39.4996	−	62.8632i	1.57746	−	2.51051i
$628$	−0.515154	+	18.7132i	−0.0205569	+	0.746736i
$629$	3.47838	−	15.2398i	0.138692	−	0.607649i
$630$	−3.98037	+	13.1340i	−0.158582	+	0.523272i
$631$	0.662848	+	0.831185i	0.0263875	+	0.0330889i	0.794850	−	0.606806i	$-0.207549\pi$
$631$	0.662848	+	0.831185i	0.0263875	+	0.0330889i	−0.768463	+	0.639895i	$0.778978\pi$
$632$	3.14058	+	24.5926i	0.124925	+	0.978242i
$633$	4.97219	−	2.39448i	0.197627	−	0.0951721i
$634$	−36.1901	+	1.53316i	−1.43729	+	0.0608897i
$635$	4.05897	−	36.0244i	0.161075	−	1.42958i
$636$	33.7286	−	65.3726i	1.33742	−	2.59219i
$637$		−	16.9566i		−	0.671847i
$638$	13.7262	−	33.2632i	0.543426	−	1.31690i
$639$			32.8784i			1.30065i
$640$	31.2945	+	1.25957i	1.23702	+	0.0497889i
$641$	0.411004	−	3.64777i	0.0162337	−	0.144078i	−0.982981	−	0.183709i	$-0.941190\pi$
$641$	0.411004	−	3.64777i	0.0162337	−	0.144078i	0.999214	+	0.0396308i	$0.0126182\pi$
$642$	−1.11483	−	26.3153i	−0.0439987	−	1.03858i
$643$	27.4351	−	13.2120i	1.08193	−	0.521031i	0.193999	−	0.981002i	$-0.437854\pi$
$643$	27.4351	−	13.2120i	1.08193	−	0.521031i	0.887934	+	0.459970i	$0.152140\pi$
$644$	−3.87602	−	2.58692i	−0.152737	−	0.101939i
$645$	−5.08122	−	6.37165i	−0.200073	−	0.250883i
$646$	−45.6177	−	13.8248i	−1.79480	−	0.543930i
$647$	6.36311	−	27.8786i	0.250160	−	1.09602i	−0.681251	−	0.732050i	$-0.738564\pi$
$647$	6.36311	−	27.8786i	0.250160	−	1.09602i	0.931410	−	0.363971i	$-0.118579\pi$
$648$	5.30691	+	6.45605i	0.208475	+	0.253618i
$649$	−27.9689	+	44.5122i	−1.09787	+	1.74726i
$650$	10.0191	+	0.701087i	0.392983	+	0.0274989i
$651$	0.143799	+	0.630024i	0.00563592	+	0.0246926i
$652$	−1.63294	−	8.18674i	−0.0639508	−	0.320618i
$653$	11.4348	−	4.00119i	0.447477	−	0.156579i	−0.0971278	−	0.995272i	$-0.530966\pi$
$653$	11.4348	−	4.00119i	0.447477	−	0.156579i	0.544604	+	0.838693i	$0.316680\pi$
$654$	23.8904	+	17.4504i	0.934190	+	0.682363i
$655$	−23.5366	+	23.5366i	−0.919652	+	0.919652i
$656$	−25.1364	−	28.0679i	−0.981411	−	1.09587i
$657$	−13.9679	+	1.57380i	−0.544939	+	0.0613999i
$658$	−2.40453	+	1.28606i	−0.0937384	+	0.0501360i
$659$	15.9790	+	25.4304i	0.622452	+	0.990627i	0.997962	+	0.0638088i	$0.0203248\pi$
$659$	15.9790	+	25.4304i	0.622452	+	0.990627i	−0.375510	+	0.926818i	$0.622532\pi$
$660$	−36.1401	−	61.1926i	−1.40675	−	2.38192i
$661$	−40.9883	−	19.7389i	−1.59426	−	0.767755i	−0.594909	−	0.803793i	$-0.702812\pi$
$661$	−40.9883	−	19.7389i	−1.59426	−	0.767755i	−0.999350	+	0.0360380i	$0.988526\pi$
$662$	0.808883	−	1.87925i	0.0314381	−	0.0730390i
$663$	−33.0016	−	26.3179i	−1.28168	−	1.02210i
$664$	12.4378	+	24.8776i	0.482682	+	0.965440i
$665$	−4.23234	+	12.0953i	−0.164123	+	0.469037i
$666$	12.5411	−	10.9007i	0.485957	−	0.422395i
$667$	9.58909	−	12.4038i	0.371291	−	0.480279i
$668$	−9.30542	−	1.30870i	−0.360037	−	0.0506350i
$669$	71.8928	+	25.1564i	2.77954	+	0.972602i
$670$	11.6251	+	16.8712i	0.449115	+	0.651791i
$671$	15.8756	−	19.9074i	0.612870	−	0.768515i
$672$	−7.78980	+	9.51748i	−0.300498	+	0.367145i
$673$	−3.68482	+	7.65161i	−0.142039	+	0.294948i	−0.959837	−	0.280558i	$-0.909481\pi$
$673$	−3.68482	+	7.65161i	−0.142039	+	0.294948i	0.817798	+	0.575506i	$0.195195\pi$
$674$	−3.56117	+	19.3438i	−0.137171	+	0.745093i
$675$	−8.45590	+	5.31319i	−0.325468	+	0.204505i
$676$	4.19561	−	11.0088i	0.161370	−	0.423414i
$677$	5.20686	+	46.2121i	0.200116	+	1.77608i	0.545986	+	0.837794i	$0.316155\pi$
$677$	5.20686	+	46.2121i	0.200116	+	1.77608i	−0.345871	+	0.938282i	$0.612416\pi$
$678$	6.09094	+	39.0995i	0.233921	+	1.50161i
$679$	1.00093	+	1.00093i	0.0384121	+	0.0384121i
$680$	−31.7824	+	32.7384i	−1.21880	+	1.25546i
$681$	21.9982	+	62.8672i	0.842972	+	2.40908i
$682$	−1.72491	−	0.984549i	−0.0660501	−	0.0377003i
$683$	−37.1656	+	8.48280i	−1.42210	+	0.324585i	−0.863290	−	0.504709i	$-0.831600\pi$
$683$	−37.1656	+	8.48280i	−1.42210	+	0.324585i	−0.558812	+	0.829294i	$0.688743\pi$
$684$	−30.4897	−	40.4692i	−1.16580	−	1.54738i
$685$	−1.17931	−	0.741010i	−0.0450591	−	0.0283125i
$686$	10.2296	−	11.1347i	0.390570	−	0.425126i
$687$	−36.5571	−	8.34392i	−1.39474	−	0.318340i
$688$	−1.20437	−	4.16395i	−0.0459164	−	0.158749i
$689$	28.2237	−	22.5076i	1.07524	−	0.857473i
$690$	−8.16174	−	29.8691i	−0.310712	−	1.13710i
$691$	5.72748	+	11.8932i	0.217884	+	0.452440i	0.981048	−	0.193764i	$-0.0620697\pi$
$691$	5.72748	+	11.8932i	0.217884	+	0.452440i	−0.763165	+	0.646204i	$0.776355\pi$
$692$	16.1138	+	17.0261i	0.612553	+	0.647234i
$693$	16.4591	+	1.85449i	0.625228	+	0.0704462i
$694$	15.8781	+	39.8766i	0.602726	+	1.51369i
$695$	−11.1082			−0.421357
$696$	−30.1210	−	28.3711i	−1.14174	−	1.07540i
$697$	54.8912			2.07915
$698$	12.0276	+	30.2064i	0.455253	+	1.14333i
$699$	−38.8434	−	4.37660i	−1.46919	−	0.165538i
$700$	2.93053	+	3.09644i	0.110763	+	0.117034i
$701$	7.74530	+	16.0833i	0.292536	+	0.607457i	0.994498	−	0.104758i	$-0.0334067\pi$
$701$	7.74530	+	16.0833i	0.292536	+	0.607457i	−0.701962	+	0.712214i	$0.747692\pi$
$702$	−3.72661	−	13.6381i	−0.140652	−	0.514737i
$703$	12.1303	−	9.67360i	0.457504	−	0.364847i
$704$	−5.34327	−	37.4199i	−0.201382	−	1.41032i
$705$	−17.6647	−	4.03186i	−0.665293	−	0.151849i
$706$	−7.90663	+	8.60618i	−0.297570	+	0.323898i
$707$	−2.28750	−	1.43733i	−0.0860302	−	0.0540564i
$708$	36.3757	+	48.2818i	1.36708	+	1.81454i
$709$	23.4483	−	5.35192i	0.880618	−	0.200995i	0.241775	−	0.970332i	$-0.422270\pi$
$709$	23.4483	−	5.35192i	0.880618	−	0.200995i	0.638843	+	0.769337i	$0.279413\pi$
$710$	25.5219	+	14.5675i	0.957819	+	0.546708i
$711$	−12.6807	−	36.2393i	−0.475563	−	1.35908i
$712$	3.94366	+	3.82849i	0.147795	+	0.143479i
$713$	−0.611892	−	0.611892i	−0.0229155	−	0.0229155i
$714$	−2.75795	−	17.7041i	−0.103214	−	0.662558i
$715$	−3.90488	−	34.6568i	−0.146034	−	1.29609i
$716$	−15.1991	+	39.8806i	−0.568017	+	1.49041i
$717$	−65.2148	+	40.9772i	−2.43549	+	1.53032i
$718$	2.23465	−	12.1383i	0.0833964	−	0.452997i
$719$	10.0745	−	20.9199i	0.375715	−	0.780181i	−0.624284	−	0.781197i	$-0.714609\pi$
$719$	10.0745	−	20.9199i	0.375715	−	0.780181i	0.999999	+	0.00101645i	$0.000323545\pi$
$720$	−47.8085	+	8.17494i	−1.78172	+	0.304662i
$721$	−0.120414	+	0.150994i	−0.00448444	+	0.00562331i
$722$	−11.5983	−	16.8324i	−0.431646	−	0.626438i
$723$	−39.1153	−	13.6870i	−1.45471	−	0.509027i
$724$	−11.4875	−	1.61558i	−0.426928	−	0.0600424i
$725$	−11.0780	+	9.11131i	−0.411428	+	0.338386i
$726$	−32.8386	+	28.5434i	−1.21875	+	1.05935i
$727$	−0.570671	+	1.63088i	−0.0211650	+	0.0604861i	−0.953981	−	0.299866i	$-0.903058\pi$
$727$	−0.570671	+	1.63088i	−0.0211650	+	0.0604861i	0.932816	+	0.360353i	$0.117344\pi$
$728$	−5.39850	+	2.69903i	−0.200082	+	0.100033i
$729$	−34.0091	−	27.1214i	−1.25960	−	1.00450i
$730$	−4.96711	+	11.5399i	−0.183841	+	0.427111i
$731$	5.68950	+	2.73992i	0.210434	+	0.101340i
$732$	−14.8896	−	25.2111i	−0.550336	−	0.931831i
$733$	−4.56828	−	7.27038i	−0.168733	−	0.268538i	0.751644	−	0.659569i	$-0.229261\pi$
$733$	−4.56828	−	7.27038i	−0.168733	−	0.268538i	−0.920377	+	0.391031i	$0.872118\pi$
$734$	1.00655	−	0.538351i	0.0371523	−	0.0198709i
$735$	47.5260	−	5.35489i	1.75302	−	0.197518i
$736$	2.05174	−	16.3409i	0.0756281	−	0.602333i
$737$	17.4848	−	17.4848i	0.644063	−	0.644063i
$738$	47.1181	+	34.4166i	1.73444	+	1.26689i
$739$	24.1179	−	8.43923i	0.887193	−	0.310442i	0.152065	−	0.988371i	$-0.451408\pi$
$739$	24.1179	−	8.43923i	0.887193	−	0.310442i	0.735128	+	0.677928i	$0.237122\pi$
$740$	−2.90512	−	14.5649i	−0.106794	−	0.535415i
$741$	−9.32279	−	40.8458i	−0.342481	−	1.50051i
$742$	15.2861	+	1.06964i	0.561171	+	0.0392678i
$743$	4.56805	−	7.27002i	0.167586	−	0.266711i	−0.752364	−	0.658748i	$-0.771086\pi$
$743$	4.56805	−	7.27002i	0.167586	−	0.266711i	0.919950	+	0.392037i	$0.128229\pi$
$744$	−1.76430	+	1.45027i	−0.0646825	+	0.0531693i
$745$	−3.77377	+	16.5340i	−0.138260	+	0.605758i
$746$	21.7293	+	6.58525i	0.795566	+	0.241103i
$747$	−26.8553	−	33.6755i	−0.982586	−	1.23212i
$748$	45.8034	+	30.5699i	1.67474	+	1.11775i
$749$	4.94333	−	2.38058i	0.180625	−	0.0869846i
$750$	−1.05179	−	24.8274i	−0.0384060	−	0.906569i
$751$	4.03353	−	35.7985i	0.147185	−	1.30631i	−0.675309	−	0.737534i	$-0.735990\pi$
$751$	4.03353	−	35.7985i	0.147185	−	1.30631i	0.822495	−	0.568772i	$-0.192582\pi$
$752$	−7.86555	−	5.56843i	−0.286827	−	0.203060i
$753$		−	14.5915i		−	0.531743i
$754$	−7.79586	−	18.7502i	−0.283908	−	0.682842i
$755$		−	22.0035i		−	0.800789i
$756$	2.75169	−	5.33331i	0.100078	−	0.193971i
$757$	−0.576625	+	5.11768i	−0.0209578	+	0.186005i	−0.999829	−	0.0184703i	$-0.994120\pi$
$757$	−0.576625	+	5.11768i	−0.0209578	+	0.186005i	0.978872	+	0.204476i	$0.0655489\pi$
$758$	35.3538	−	1.49773i	1.28411	−	0.0544001i
$759$	−33.6694	+	16.2143i	−1.22212	+	0.588543i
$760$	−44.9234	+	5.73690i	−1.62954	+	0.208099i
$761$	4.01541	+	5.03517i	0.145559	+	0.182525i	0.849266	−	0.527965i	$-0.177045\pi$
$761$	4.01541	+	5.03517i	0.145559	+	0.182525i	−0.703707	+	0.710490i	$0.748473\pi$
$762$	−14.5920	+	48.1491i	−0.528612	+	1.74426i
$763$	−1.37137	+	6.00834i	−0.0496468	+	0.217517i
$764$	0.469896	−	17.0691i	0.0170003	−	0.617540i
$765$	37.5936	−	59.8299i	1.35920	−	2.16315i
$766$	1.91290	−	27.3370i	0.0691159	−	0.987726i
$767$	6.60129	+	28.9221i	0.238359	+	1.04432i
$768$	−42.3968	−	9.58266i	−1.52986	−	0.345784i
$769$	−27.5228	+	9.63063i	−0.992496	+	0.347289i	−0.777196	−	0.629259i	$-0.783359\pi$
$769$	−27.5228	+	9.63063i	−0.992496	+	0.347289i	−0.215300	+	0.976548i	$0.569073\pi$
$770$	8.73210	−	11.9547i	0.314683	−	0.430817i
$771$	−21.7715	+	21.7715i	−0.784080	+	0.784080i
$772$	−0.886659	+	1.05114i	−0.0319115	+	0.0378314i
$773$	22.6981	−	2.55746i	0.816393	−	0.0919855i	0.306115	−	0.951995i	$-0.400971\pi$
$773$	22.6981	−	2.55746i	0.816393	−	0.0919855i	0.510279	+	0.860009i	$0.329542\pi$
$774$	3.16589	+	5.91921i	0.113796	+	0.212762i
$775$	0.421201	+	0.670338i	0.0151300	+	0.0240792i
$776$	−1.58214	+	4.74592i	−0.0567956	+	0.170369i
$777$	5.25454	+	2.53045i	0.188506	+	0.0907795i
$778$	−16.5035	−	7.10360i	−0.591680	−	0.254676i
$779$	42.5960	+	33.9692i	1.52616	+	1.21707i
$780$	−38.8387	−	9.99668i	−1.39065	−	0.357939i
$781$	11.7138	−	33.4761i	0.419153	−	1.19787i
$782$	15.7400	+	18.1085i	0.562860	+	0.647559i
$783$	17.2564	+	10.4830i	0.616693	+	0.374632i
$784$	24.4512	+	7.01633i	0.873259	+	0.250583i
$785$	−24.4576	−	8.55810i	−0.872931	−	0.305452i
$786$	38.0389	−	26.2106i	1.35680	−	0.934901i
$787$	−14.4631	+	18.1361i	−0.515552	+	0.646482i	−0.969658	−	0.244466i	$-0.921387\pi$
$787$	−14.4631	+	18.1361i	−0.515552	+	0.646482i	0.454106	+	0.890948i	$0.349959\pi$
$788$	−40.3865	+	12.8958i	−1.43871	+	0.459394i
$789$	−9.96506	+	20.6927i	−0.354766	+	0.736678i
$790$	−33.7493	−	6.21321i	−1.20075	−	0.221056i
$791$	−6.97961	+	4.38558i	−0.248166	+	0.155933i
$792$	20.1500	+	54.9595i	0.716000	+	1.95290i
$793$	−1.60880	−	14.2785i	−0.0571301	−	0.507044i
$794$	33.7173	−	5.25251i	1.19658	−	0.186405i
$795$	71.9973	+	71.9973i	2.55348	+	2.55348i
$796$	−3.71513	+	0.315342i	−0.131679	+	0.0111770i
$797$	−10.2962	−	29.4249i	−0.364711	−	1.04228i	−0.969329	−	0.245767i	$-0.920960\pi$
$797$	−10.2962	−	29.4249i	−0.364711	−	1.04228i	0.604618	−	0.796515i	$-0.293326\pi$
$798$	8.81589	−	15.4452i	0.312079	−	0.546756i
$799$	13.6878	−	3.12414i	0.484238	−	0.110524i
$800$	−5.15668	+	14.1574i	−0.182316	+	0.500538i
$801$	−7.20708	−	4.52851i	−0.254650	−	0.160007i
$802$	−36.5906	−	33.6163i	−1.29206	−	1.18703i
$803$	14.7826	+	3.37402i	0.521666	+	0.119067i
$804$	−11.6275	−	25.9483i	−0.410072	−	0.915125i
$805$	5.04295	−	4.02162i	0.177741	−	0.141743i
$806$	−1.08115	+	0.295425i	−0.0380821	+	0.0104059i
$807$	−3.81662	−	7.92529i	−0.134351	−	0.278983i
$808$	0.928326	−	9.50259i	0.0326584	−	0.334300i
$809$	−30.6338	−	3.45160i	−1.07703	−	0.121352i	−0.444415	−	0.895821i	$-0.646589\pi$
$809$	−30.6338	−	3.45160i	−1.07703	−	0.121352i	−0.632612	+	0.774469i	$0.718017\pi$
$810$	−10.7471	+	4.27930i	−0.377615	+	0.150359i
$811$	−34.7966			−1.22187			−0.610937	−	0.791679i	$-0.709207\pi$
$811$	−34.7966			−1.22187			−0.610937	+	0.791679i	$0.709207\pi$
$812$	2.94778	−	8.09991i	0.103447	−	0.284251i
$813$	−18.9761			−0.665522
$814$	−16.6528	+	6.63084i	−0.583680	+	0.232411i
$815$	11.4823	+	1.29374i	0.402207	+	0.0453178i
$816$	51.6055	−	36.6980i	1.80655	−	1.28469i
$817$	2.71951	+	5.64712i	0.0951436	+	0.197568i
$818$	23.4222	−	6.40011i	0.818938	−	0.223775i
$819$	7.30766	−	5.82766i	0.255350	−	0.203635i
$820$	47.5926	−	21.3265i	1.66201	−	0.744753i
$821$	49.3852	+	11.2719i	1.72356	+	0.393390i	0.965829	−	0.259181i	$-0.0834525\pi$
$821$	49.3852	+	11.2719i	1.72356	+	0.393390i	0.757727	+	0.652571i	$0.226310\pi$
$822$	1.42342	+	1.30772i	0.0496476	+	0.0456120i
$823$	−22.7792	−	14.3131i	−0.794032	−	0.498923i	0.0729065	−	0.997339i	$-0.476773\pi$
$823$	−22.7792	−	14.3131i	−0.794032	−	0.498923i	−0.866938	+	0.498416i	$0.833915\pi$
$824$	−0.667611	−	0.142005i	−0.0232573	−	0.00494698i
$825$	33.3319	−	7.60779i	1.16047	−	0.264869i
$826$	−6.24236	+	10.9365i	−0.217199	+	0.380528i
$827$	5.84917	+	16.7160i	0.203396	+	0.581272i	0.999722	−	0.0235963i	$-0.00751164\pi$
$827$	5.84917	+	16.7160i	0.203396	+	0.581272i	−0.796326	+	0.604868i	$0.793226\pi$
$828$	2.15708	+	25.4131i	0.0749637	+	0.883166i
$829$	−28.8430	−	28.8430i	−1.00176	−	1.00176i	−0.999998	−	0.00176066i	$-0.999440\pi$
$829$	−28.8430	−	28.8430i	−1.00176	−	1.00176i	−0.00176066	−	0.999998i	$-0.500560\pi$
$830$	−38.0396	+	5.92583i	−1.32037	+	0.205688i
$831$	5.87394	+	52.1327i	0.203765	+	1.80846i
$832$	−17.0638	−	12.7996i	−0.591581	−	0.443745i
$833$	−31.3789	+	19.7167i	−1.08721	+	0.683142i
$834$	15.1613	+	2.79119i	0.524994	+	0.0966510i
$835$	5.64348	−	11.7188i	0.195301	−	0.405546i
$836$	16.6258	+	52.0678i	0.575015	+	1.80080i
$837$	0.694833	−	0.871294i	0.0240170	−	0.0301163i
$838$	3.15638	−	2.17490i	0.109035	−	0.0751307i
$839$	50.1924	+	17.5631i	1.73283	+	0.606345i	0.997454	−	0.0713102i	$-0.0227180\pi$
$839$	50.1924	+	17.5631i	1.73283	+	0.606345i	0.735380	+	0.677655i	$0.237004\pi$
$840$	−9.26968	−	14.2785i	−0.319834	−	0.492656i
$841$	26.4959	+	11.7883i	0.913653	+	0.406494i
$842$	13.4713	+	15.4985i	0.464253	+	0.534113i
$843$	20.2818	−	57.9620i	0.698541	−	1.99632i
$844$	−1.01274	+	3.93465i	−0.0348599	+	0.135436i
$845$	12.7493	+	10.1672i	0.438589	+	0.349763i
$846$	13.7083	+	5.90044i	0.471300	+	0.202861i
$847$	−8.16598	−	3.93253i	−0.280586	−	0.135123i
$848$	20.7773	+	50.0114i	0.713495	+	1.71740i
$849$	2.80194	+	4.45927i	0.0961625	+	0.153042i
$850$	−10.3526	−	19.3560i	−0.355090	−	0.663905i
$851$	−7.76052	+	0.874401i	−0.266027	+	0.0299741i
$852$	−31.1739	−	26.2959i	−1.06800	−	0.900882i
$853$	16.2813	−	16.2813i	0.557460	−	0.557460i	−0.371124	−	0.928583i	$-0.621027\pi$
$853$	16.2813	−	16.2813i	0.557460	−	0.557460i	0.928583	+	0.371124i	$0.121027\pi$
$854$	3.59760	−	4.92530i	0.123107	−	0.168540i
$855$	66.1984	−	23.1638i	2.26394	−	0.792186i
$856$	15.3378	+	11.8640i	0.524235	+	0.405504i
$857$	5.24907	+	22.9977i	0.179305	+	0.785586i	0.981952	+	0.189131i	$0.0605672\pi$
$857$	5.24907	+	22.9977i	0.179305	+	0.785586i	−0.802647	+	0.596454i	$0.796576\pi$
$858$	−3.37863	+	48.2836i	−0.115345	+	1.64838i
$859$	−20.0097	+	31.8453i	−0.682723	+	1.08655i	0.308097	+	0.951355i	$0.400308\pi$
$859$	−20.0097	+	31.8453i	−0.682723	+	1.08655i	−0.990819	+	0.135192i	$0.956835\pi$
$860$	5.99752	+	0.165106i	0.204514	+	0.00563005i
$861$	−4.55714	+	19.9661i	−0.155307	+	0.680445i
$862$	−10.2481	+	33.8157i	−0.349052	+	1.15177i
$863$	−4.37904	−	5.49114i	−0.149064	−	0.186921i	0.701693	−	0.712479i	$-0.252428\pi$
$863$	−4.37904	−	5.49114i	−0.149064	−	0.186921i	−0.850757	+	0.525559i	$0.823856\pi$
$864$	21.2079	+	0.269466i	0.721509	+	0.00916742i
$865$	−29.2344	+	14.0785i	−0.993999	+	0.478685i
$866$	23.1898	−	0.982418i	0.788023	−	0.0333839i
$867$	−5.15815	+	45.7799i	−0.175180	+	1.55477i
$868$	−0.422796	−	0.218139i	−0.0143506	−	0.00740412i
$869$			41.4160i			1.40494i
$870$	50.0910	−	27.7715i	1.69825	−	0.941541i
$871$		−	13.9540i		−	0.472812i
$872$	−21.1603	+	5.16070i	−0.716578	+	0.174763i
$873$	0.867418	−	7.69854i	0.0293576	−	0.260556i
$874$	1.00797	+	23.7930i	0.0340951	+	0.804809i
$875$	4.66383	−	2.24598i	0.157666	−	0.0759280i
$876$	9.67920	−	14.5025i	0.327030	−	0.489995i
$877$	16.1732	+	20.2805i	0.546129	+	0.684824i	0.975926	−	0.218101i	$-0.0699863\pi$
$877$	16.1732	+	20.2805i	0.546129	+	0.684824i	−0.429797	+	0.902926i	$0.641415\pi$
$878$	25.9485	+	7.86390i	0.875718	+	0.265394i
$879$	−12.0483	+	52.7873i	−0.406381	+	1.78047i
$880$	51.5903	+	8.70952i	1.73911	+	0.293598i
$881$	20.1862	−	32.1261i	0.680089	−	1.08236i	−0.311161	−	0.950357i	$-0.600718\pi$
$881$	20.1862	−	32.1261i	0.680089	−	1.08236i	0.991250	−	0.131998i	$-0.0421392\pi$
$882$	−39.2976	−	2.74984i	−1.32322	−	0.0925920i
$883$	11.1907	+	49.0296i	0.376597	+	1.64998i	0.707796	+	0.706417i	$0.249689\pi$
$883$	11.1907	+	49.0296i	0.376597	+	1.64998i	−0.331200	+	0.943561i	$0.607453\pi$
$884$	30.4753	−	6.07864i	1.02499	−	0.204447i
$885$	−78.9780	+	27.6356i	−2.65482	+	0.928961i
$886$	−6.77939	−	4.95188i	−0.227758	−	0.166362i
$887$	−13.2494	+	13.2494i	−0.444870	+	0.444870i	−0.893645	−	0.448775i	$-0.851860\pi$
$887$	−13.2494	+	13.2494i	−0.444870	+	0.444870i	0.448775	+	0.893645i	$0.351860\pi$
$888$	0.305387	+	20.6093i	0.0102481	+	0.691603i
$889$	−10.4146	+	1.17344i	−0.349293	+	0.0393559i
$890$	−6.70852	+	3.58806i	−0.224870	+	0.120272i
$891$	7.42768	+	11.8211i	0.248837	+	0.396021i
$892$	−48.2825	+	28.5155i	−1.61662	+	0.954770i
$893$	12.5552	+	6.04626i	0.420143	+	0.202330i
$894$	9.30530	−	21.6187i	0.311216	−	0.723036i
$895$	−46.1859	−	36.8320i	−1.54382	−	1.23116i
$896$	−1.65818	−	8.90137i	−0.0553957	−	0.297374i
$897$	−6.96511	+	19.9051i	−0.232558	+	0.664613i
$898$	22.7440	−	19.7692i	0.758978	−	0.659706i
$899$	0.831037	−	1.36799i	0.0277166	−	0.0456251i
$900$	3.24959	−	23.1060i	0.108320	−	0.770200i
$901$	−74.4689	−	26.0578i	−2.48092	−	0.868111i
$902$	−35.7129	−	51.8294i	−1.18911	−	1.72573i
$903$	−1.46897	+	1.84203i	−0.0488842	+	0.0612989i
$904$	−24.8940	−	15.1321i	−0.827961	−	0.503288i
$905$	6.96683	−	14.4668i	0.231585	−	0.480892i
$906$	−5.52890	+	30.0322i	−0.183685	+	0.997752i
$907$	−18.1008	+	11.3735i	−0.601028	+	0.377651i	−0.797910	−	0.602776i	$-0.794061\pi$
$907$	−18.1008	+	11.3735i	−0.601028	+	0.377651i	0.196882	+	0.980427i	$0.436918\pi$
$908$	−45.8198	−	17.4626i	−1.52058	−	0.579518i
$909$	1.65550	+	14.6930i	0.0549094	+	0.487335i
$910$	−1.28592	−	8.25466i	−0.0426277	−	0.273639i
$911$	−38.7092	−	38.7092i	−1.28249	−	1.28249i	−0.939244	−	0.343250i	$-0.888472\pi$
$911$	−38.7092	−	38.7092i	−1.28249	−	1.28249i	−0.343250	−	0.939244i	$-0.611528\pi$
$912$	62.7567	+	3.45788i	2.07808	+	0.114502i
$913$	15.3458	+	43.8558i	0.507872	+	1.45141i
$914$	−26.7714	−	15.2807i	−0.885518	−	0.505439i
$915$	39.5116	−	9.01826i	1.30621	−	0.298134i
$916$	22.0484	−	16.6113i	0.728498	−	0.548854i
$917$	8.14790	+	5.11967i	0.269067	+	0.169066i
$918$	−20.9046	+	22.7542i	−0.689955	+	0.751000i
$919$	−31.4718	−	7.18322i	−1.03816	−	0.236953i	−0.330720	−	0.943729i	$-0.607292\pi$
$919$	−31.4718	−	7.18322i	−1.03816	−	0.236953i	−0.707437	+	0.706776i	$0.750149\pi$
$920$	20.6827	+	9.58539i	0.681888	+	0.316021i
$921$	0.946679	−	0.754951i	0.0311941	−	0.0248765i
$922$	−13.7396	−	50.2822i	−0.452490	−	1.65596i
$923$	−8.68383	−	18.0322i	−0.285832	−	0.593536i
$924$	−14.9222	+	14.1226i	−0.490904	+	0.464600i
$925$	7.09991	+	0.799968i	0.233444	+	0.0263028i
$926$	12.5011	+	31.3954i	0.410811	+	1.03172i
$927$	1.05700			0.0347165
$928$	30.2633	−	3.48304i	0.993442	−	0.114336i
$929$	−17.3669			−0.569790			−0.284895	−	0.958559i	$-0.591959\pi$
$929$	−17.3669			−0.569790			−0.284895	+	0.958559i	$0.591959\pi$
$930$	−1.16944	−	2.93696i	−0.0383476	−	0.0963067i
$931$	−36.5519	−	4.11841i	−1.19794	−	0.134975i
$932$	20.9011	−	19.7811i	0.684637	−	0.647952i
$933$	−29.1246	−	60.4779i	−0.953497	−	1.97996i
$934$	−12.6399	−	46.2577i	−0.413590	−	1.51360i
$935$	−59.5932	+	47.5240i	−1.94891	+	1.55420i
$936$	29.9710	+	13.8900i	0.979632	+	0.454010i
$937$	27.1976	+	6.20768i	0.888508	+	0.202796i	0.642330	−	0.766428i	$-0.277968\pi$
$937$	27.1976	+	6.20768i	0.888508	+	0.202796i	0.246178	+	0.969225i	$0.420825\pi$
$938$	4.00729	−	4.36184i	0.130843	−	0.142419i
$939$	18.2359	+	11.4584i	0.595106	+	0.373930i
$940$	10.6540	−	8.02676i	0.347495	−	0.261804i
$941$	17.3640	−	3.96322i	0.566050	−	0.129197i	0.0700871	−	0.997541i	$-0.477672\pi$
$941$	17.3640	−	3.96322i	0.566050	−	0.129197i	0.495963	+	0.868344i	$0.334815\pi$
$942$	31.2314	+	17.8264i	1.01757	+	0.580814i
$943$	−9.05750	−	25.8848i	−0.294953	−	0.842926i
$944$	−44.4368	−	2.44845i	−1.44629	−	0.0796904i
$945$	5.87378	+	5.87378i	0.191074	+	0.191074i
$946$	−1.11458	−	7.15477i	−0.0362380	−	0.232622i
$947$	5.11859	+	45.4287i	0.166332	+	1.47624i	0.748482	+	0.663155i	$0.230783\pi$
$947$	5.11859	+	45.4287i	0.166332	+	1.47624i	−0.582150	+	0.813081i	$0.697789\pi$
$948$	44.5026	+	16.9606i	1.44538	+	0.550855i
$949$	7.24503	−	4.55235i	0.235184	−	0.147776i
$950$	3.94470	−	21.4270i	0.127983	−	0.695185i
$951$	−30.1905	+	62.6912i	−0.978994	+	2.03290i
$952$	11.2719	+	6.85177i	0.365324	+	0.222067i
$953$	−4.45264	+	5.58344i	−0.144235	+	0.180865i	−0.848701	−	0.528872i	$-0.822615\pi$
$953$	−4.45264	+	5.58344i	−0.144235	+	0.180865i	0.704466	+	0.709738i	$0.251186\pi$
$954$	−47.5852	−	69.0594i	−1.54063	−	2.23588i
$955$	22.3090	+	7.80624i	0.721901	+	0.252604i
$956$	7.89681	−	56.1498i	0.255401	−	1.81602i
$957$	−43.9087	−	53.3866i	−1.41937	−	1.72574i
$958$	−2.74064	+	2.38218i	−0.0885462	+	0.0769646i
$959$	−0.132988	+	0.380057i	−0.00429440	+	0.0122727i
$960$	30.4858	−	51.8684i	0.983924	−	1.67405i
$961$	24.1677	+	19.2731i	0.779603	+	0.621713i
$962$	−3.99906	+	9.29087i	−0.128935	+	0.299550i
$963$	−27.0551	−	13.0291i	−0.871839	−	0.419856i
$964$	26.2695	−	15.5147i	0.846083	−	0.499694i
$965$	−1.01269	−	1.61168i	−0.0325995	−	0.0518819i
$966$	−7.89355	+	4.22187i	−0.253971	+	0.135837i
$967$	16.3159	−	1.83836i	0.524685	−	0.0591178i	0.154350	−	0.988016i	$-0.450672\pi$
$967$	16.3159	−	1.83836i	0.524685	−	0.0591178i	0.370335	+	0.928898i	$0.379243\pi$
$968$	−0.474595	−	32.0285i	−0.0152541	−	1.02943i
$969$	−64.7465	+	64.7465i	−2.07996	+	2.07996i
$970$	−5.59168	−	4.08434i	−0.179538	−	0.131140i
$971$	16.4925	−	5.77099i	0.529271	−	0.185200i	−0.0523971	−	0.998626i	$-0.516686\pi$
$971$	16.4925	−	5.77099i	0.529271	−	0.185200i	0.581668	+	0.813427i	$0.302400\pi$
$972$	37.8055	−	7.54073i	1.21261	−	0.241869i
$973$	0.714591	+	3.13083i	0.0229087	+	0.100370i
$974$	−56.4041	−	3.94686i	−1.80730	−	0.126466i
$975$	10.2647	−	16.3362i	0.328733	−	0.523176i
$976$	21.2551	+	3.58829i	0.680358	+	0.114859i
$977$	−2.49822	+	10.9454i	−0.0799251	+	0.350175i	−0.999040	−	0.0438158i	$-0.986049\pi$
$977$	−2.49822	+	10.9454i	−0.0799251	+	0.350175i	0.919115	+	0.393990i	$0.128906\pi$
$978$	−15.3469	−	4.65100i	−0.490739	−	0.148723i
$979$	5.72472	+	7.17857i	0.182963	+	0.229428i
$980$	−19.5462	+	29.2865i	−0.624382	+	0.935522i
$981$	30.3894	−	14.6348i	0.970258	−	0.467252i
$982$	0.138507	+	3.26945i	0.00441995	+	0.104332i
$983$	4.63022	−	41.0944i	0.147681	−	1.31071i	−0.673137	−	0.739518i	$-0.735054\pi$
$983$	4.63022	−	41.0944i	0.147681	−	1.31071i	0.820818	−	0.571189i	$-0.193518\pi$
$984$	−70.3171	+	17.1494i	−2.24163	+	0.546702i
$985$		−	58.6818i		−	1.86976i
$986$	−25.6332	+	36.2287i	−0.816327	+	1.15376i
$987$			5.23817i			0.166733i
$988$	27.4108	+	14.1424i	0.872054	+	0.449931i
$989$	0.353239	−	3.13509i	0.0112324	−	0.0996899i
$990$	−80.9516	+	3.42945i	−2.57281	+	0.108995i
$991$	−2.26102	+	1.08885i	−0.0718235	+	0.0345884i	−0.469451	−	0.882959i	$-0.655548\pi$
$991$	−2.26102	+	1.08885i	−0.0718235	+	0.0345884i	0.397627	+	0.917547i	$0.369834\pi$
$992$	0.0213618	−	1.68125i	0.000678238	−	0.0533798i
$993$	−2.45041	−	3.07272i	−0.0777615	−	0.0975099i
$994$	2.46400	−	8.13046i	0.0781535	−	0.257882i
$995$	1.14839	−	5.03141i	0.0364063	−	0.159506i
$996$	53.4085	+	1.47028i	1.69231	+	0.0465877i
$997$	6.01422	−	9.57158i	0.190472	−	0.303135i	−0.737812	−	0.675006i	$-0.764141\pi$
$997$	6.01422	−	9.57158i	0.190472	−	0.303135i	0.928284	+	0.371871i	$0.121284\pi$
$998$	−1.44583	+	20.6621i	−0.0457669	+	0.654048i
$999$	−2.23801	−	9.80538i	−0.0708076	−	0.310228i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	116.2.l.b.95.10	yes	144
4.3	odd	2	inner	116.2.l.b.95.12	yes	144
29.11	odd	28	inner	116.2.l.b.11.12	yes	144
116.11	even	28	inner	116.2.l.b.11.10	✓	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
116.2.l.b.11.10	✓	144	116.11	even	28	inner
116.2.l.b.11.12	yes	144	29.11	odd	28	inner
116.2.l.b.95.10	yes	144	1.1	even	1	trivial
116.2.l.b.95.12	yes	144	4.3	odd	2	inner

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

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Newspace parameters

Newform invariants

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$q$ -expansion

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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	116.2.l.b.95.10

Level	$116$
Weight	$2$
Character	116.95
Analytic conductor	$0.926$
Analytic rank	$0$
Dimension	$144$
Inner twists	$4$