LMFDB - Embedded newform 184.2.p.a.133.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [184,2,Mod(13,184)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(184, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 14]))

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

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

chi := DirichletCharacter("184.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.p (of order $22$, degree $10$, 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:	$1.46924739719$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			133.7
Character	$\chi$	$=$	184.133
Dual form			184.2.p.a.101.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.04478 - 0.953114i) q^{2} +(-1.77342 - 1.53668i) q^{3} +(0.183147 + 1.99160i) q^{4} +(3.72983 + 0.536269i) q^{5} +(0.388212 + 3.29577i) q^{6} +(1.80644 + 3.95556i) q^{7} +(1.70687 - 2.25535i) q^{8} +(0.356696 + 2.48088i) q^{9} +O(q^{10})$	\(q+(-1.04478 - 0.953114i) q^{2} +(-1.77342 - 1.53668i) q^{3} +(0.183147 + 1.99160i) q^{4} +(3.72983 + 0.536269i) q^{5} +(0.388212 + 3.29577i) q^{6} +(1.80644 + 3.95556i) q^{7} +(1.70687 - 2.25535i) q^{8} +(0.356696 + 2.48088i) q^{9} +(-3.38574 - 4.11524i) q^{10} +(-0.791572 - 2.69585i) q^{11} +(2.73564 - 3.81337i) q^{12} +(1.31919 + 0.602452i) q^{13} +(1.88275 - 5.85445i) q^{14} +(-5.79048 - 6.68257i) q^{15} +(-3.93291 + 0.729511i) q^{16} +(0.426368 - 0.274010i) q^{17} +(1.99189 - 2.93195i) q^{18} +(1.09247 - 1.69992i) q^{19} +(-0.384923 + 7.52654i) q^{20} +(2.87483 - 9.79078i) q^{21} +(-1.74243 + 3.57104i) q^{22} +(4.04551 + 2.57562i) q^{23} +(-6.49274 + 1.37677i) q^{24} +(8.82660 + 2.59172i) q^{25} +(-0.804059 - 1.88677i) q^{26} +(-0.626221 + 0.974418i) q^{27} +(-7.54703 + 4.32215i) q^{28} +(-0.637426 - 0.991854i) q^{29} +(-0.319451 + 12.5008i) q^{30} +(-5.28380 - 6.09783i) q^{31} +(4.80435 + 2.98633i) q^{32} +(-2.73886 + 5.99726i) q^{33} +(-0.706626 - 0.120096i) q^{34} +(4.61648 + 15.7223i) q^{35} +(-4.87558 + 1.16476i) q^{36} +(-1.78283 + 0.256332i) q^{37} +(-2.76161 + 0.734798i) q^{38} +(-1.41370 - 3.09556i) q^{39} +(7.57581 - 7.49673i) q^{40} +(1.06252 - 7.38997i) q^{41} +(-12.3353 + 7.48920i) q^{42} +(-0.318514 - 0.275994i) q^{43} +(5.22407 - 2.07023i) q^{44} +9.44454i q^{45} +(-1.77182 - 6.54680i) q^{46} +11.5799 q^{47} +(8.09573 + 4.74989i) q^{48} +(-7.79917 + 9.00072i) q^{49} +(-6.75168 - 11.1205i) q^{50} +(-1.17719 - 0.169255i) q^{51} +(-0.958236 + 2.73762i) q^{52} +(-8.99787 + 4.10919i) q^{53} +(1.58300 - 0.421197i) q^{54} +(-1.50673 - 10.4796i) q^{55} +(12.0045 + 2.67746i) q^{56} +(-4.54963 + 1.33589i) q^{57} +(-0.279378 + 1.64381i) q^{58} +(1.14788 + 0.524220i) q^{59} +(12.2485 - 12.7562i) q^{60} +(-6.78339 + 5.87784i) q^{61} +(-0.291498 + 11.4070i) q^{62} +(-9.16890 + 5.89249i) q^{63} +(-2.17319 - 7.69917i) q^{64} +(4.59726 + 2.95448i) q^{65} +(8.57758 - 3.65540i) q^{66} +(-0.439020 + 1.49516i) q^{67} +(0.623806 + 0.798969i) q^{68} +(-3.21648 - 10.7843i) q^{69} +(10.1619 - 20.8264i) q^{70} +(-3.81036 - 1.11882i) q^{71} +(6.20408 + 3.43006i) q^{72} +(-3.83656 - 2.46561i) q^{73} +(2.10698 + 1.43142i) q^{74} +(-11.6706 - 18.1598i) q^{75} +(3.58564 + 1.86443i) q^{76} +(9.23365 - 8.00100i) q^{77} +(-1.47342 + 4.58161i) q^{78} +(-4.36275 + 9.55308i) q^{79} +(-15.0603 + 0.611852i) q^{80} +(9.82250 - 2.88415i) q^{81} +(-8.15359 + 6.70823i) q^{82} +(-9.43680 + 1.35681i) q^{83} +(20.0258 + 3.93235i) q^{84} +(1.73723 - 0.793364i) q^{85} +(0.0697246 + 0.591934i) q^{86} +(-0.393735 + 2.73849i) q^{87} +(-7.43118 - 2.81619i) q^{88} +(-7.96093 + 9.18740i) q^{89} +(9.00172 - 9.86750i) q^{90} +6.30641i q^{91} +(-4.38868 + 8.52874i) q^{92} +18.9335i q^{93} +(-12.0985 - 11.0369i) q^{94} +(4.98635 - 5.75455i) q^{95} +(-3.93110 - 12.6788i) q^{96} +(0.199115 - 1.38487i) q^{97} +(16.7272 - 1.97031i) q^{98} +(6.40571 - 2.92539i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8}+O(q^{10}) $ 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8	$ 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26} - 17 q^{28} - 37 q^{30} - 34 q^{31} - 11 q^{32} - 30 q^{33} - 23 q^{34} + 37 q^{36} - 78 q^{38} - 18 q^{39} + 99 q^{40} - 18 q^{41} - 77 q^{42} + 48 q^{44} - 99 q^{46} - 40 q^{47} + 116 q^{48} - 28 q^{49} - 60 q^{50} + 98 q^{52} - 114 q^{54} - 38 q^{55} + 66 q^{56} - 30 q^{57} - 51 q^{58} - 45 q^{60} + 18 q^{62} + 18 q^{63} - 14 q^{64} - 38 q^{65} - 12 q^{66} + 10 q^{68} - 38 q^{70} - 26 q^{71} + 55 q^{72} - 18 q^{73} + 10 q^{74} + 72 q^{76} + 42 q^{78} - 22 q^{79} + 66 q^{80} - 52 q^{81} + 64 q^{82} + 125 q^{84} + 121 q^{86} - 42 q^{87} + 17 q^{88} - 2 q^{89} + 204 q^{90} + 88 q^{92} + 105 q^{94} - 78 q^{95} + 157 q^{96} - 18 q^{97} + 109 q^{98}+O(q^{100}) $ 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{6}{11}\right)$

Coefficient data

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

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

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

$2$	−1.04478	−	0.953114i	−0.738774	−	0.673953i
$2$	−1.04478	−	0.953114i	−0.738774	−	0.673953i
$3$	−1.77342	−	1.53668i	−1.02388	−	0.887200i	−0.0302144	−	0.999543i	$-0.509619\pi$
$3$	−1.77342	−	1.53668i	−1.02388	−	0.887200i	−0.993669	+	0.112343i	$0.964164\pi$
$4$	0.183147	+	1.99160i	0.0915736	+	0.995798i
$5$	3.72983	+	0.536269i	1.66803	+	0.239827i	0.910660	−	0.413157i	$-0.135574\pi$
$5$	3.72983	+	0.536269i	1.66803	+	0.239827i	0.757372	+	0.652984i	$0.226483\pi$
$6$	0.388212	+	3.29577i	0.158487	+	1.34549i
$7$	1.80644	+	3.95556i	0.682771	+	1.49506i	0.859680	+	0.510833i	$0.170663\pi$
$7$	1.80644	+	3.95556i	0.682771	+	1.49506i	−0.176909	+	0.984227i	$0.556610\pi$
$8$	1.70687	−	2.25535i	0.603470	−	0.797386i
$9$	0.356696	+	2.48088i	0.118899	+	0.826959i
$10$	−3.38574	−	4.11524i	−1.07067	−	1.30135i
$11$	−0.791572	−	2.69585i	−0.238668	−	0.812828i	−0.988503	−	0.151203i	$-0.951685\pi$
$11$	−0.791572	−	2.69585i	−0.238668	−	0.812828i	0.749835	−	0.661625i	$-0.230133\pi$
$12$	2.73564	−	3.81337i	0.789712	−	1.10083i
$13$	1.31919	+	0.602452i	0.365876	+	0.167090i	0.589865	−	0.807502i	$-0.299181\pi$
$13$	1.31919	+	0.602452i	0.365876	+	0.167090i	−0.223989	+	0.974592i	$0.571908\pi$
$14$	1.88275	−	5.85445i	0.503187	−	1.56467i
$15$	−5.79048	−	6.68257i	−1.49510	−	1.72543i
$16$	−3.93291	+	0.729511i	−0.983229	+	0.182378i
$17$	0.426368	−	0.274010i	0.103409	−	0.0664572i	−0.487914	−	0.872892i	$-0.662242\pi$
$17$	0.426368	−	0.274010i	0.103409	−	0.0664572i	0.591323	+	0.806434i	$0.298606\pi$
$18$	1.99189	−	2.93195i	0.469493	−	0.691068i
$19$	1.09247	−	1.69992i	0.250630	−	0.389988i	−0.693028	−	0.720911i	$-0.743724\pi$
$19$	1.09247	−	1.69992i	0.250630	−	0.389988i	0.943658	+	0.330923i	$0.107360\pi$
$20$	−0.384923	+	7.52654i	−0.0860714	+	1.68298i
$21$	2.87483	−	9.79078i	0.627340	−	2.13652i
$22$	−1.74243	+	3.57104i	−0.371487	+	0.761347i
$23$	4.04551	+	2.57562i	0.843547	+	0.537055i
$23$	4.04551	+	2.57562i	0.843547	+	0.537055i
$24$	−6.49274	+	1.37677i	−1.32532	+	0.281032i
$25$	8.82660	+	2.59172i	1.76532	+	0.518345i
$26$	−0.804059	−	1.88677i	−0.157689	−	0.370025i
$27$	−0.626221	+	0.974418i	−0.120516	+	0.187527i
$28$	−7.54703	+	4.32215i	−1.42625	+	0.816810i
$29$	−0.637426	−	0.991854i	−0.118367	−	0.184183i	0.777014	−	0.629483i	$-0.216733\pi$
$29$	−0.637426	−	0.991854i	−0.118367	−	0.184183i	−0.895381	+	0.445300i	$0.853097\pi$
$30$	−0.319451	+	12.5008i	−0.0583235	+	2.28233i
$31$	−5.28380	−	6.09783i	−0.948999	−	1.09520i	−0.995354	−	0.0962782i	$-0.969306\pi$
$31$	−5.28380	−	6.09783i	−0.948999	−	1.09520i	0.0463554	−	0.998925i	$-0.485239\pi$
$32$	4.80435	+	2.98633i	0.849298	+	0.527914i
$33$	−2.73886	+	5.99726i	−0.476773	+	1.04399i
$34$	−0.706626	−	0.120096i	−0.121185	−	0.0205963i
$35$	4.61648	+	15.7223i	0.780328	+	2.65755i
$36$	−4.87558	+	1.16476i	−0.812597	+	0.194127i
$37$	−1.78283	+	0.256332i	−0.293095	+	0.0421407i	−0.287294	−	0.957843i	$-0.592756\pi$
$37$	−1.78283	+	0.256332i	−0.293095	+	0.0421407i	−0.00580094	+	0.999983i	$0.501847\pi$
$38$	−2.76161	+	0.734798i	−0.447993	+	0.119200i
$39$	−1.41370	−	3.09556i	−0.226372	−	0.495686i
$40$	7.57581	−	7.49673i	1.19784	−	1.18534i
$41$	1.06252	−	7.38997i	0.165937	−	1.15412i	−0.721238	−	0.692687i	$-0.756427\pi$
$41$	1.06252	−	7.38997i	0.165937	−	1.15412i	0.887175	−	0.461433i	$-0.152664\pi$
$42$	−12.3353	+	7.48920i	−1.90338	+	1.15561i
$43$	−0.318514	−	0.275994i	−0.0485729	−	0.0420887i	0.630236	−	0.776404i	$-0.282958\pi$
$43$	−0.318514	−	0.275994i	−0.0485729	−	0.0420887i	−0.678809	+	0.734315i	$0.737504\pi$
$44$	5.22407	−	2.07023i	0.787557	−	0.312099i
$45$			9.44454i			1.40791i
$46$	−1.77182	−	6.54680i	−0.261241	−	0.965274i
$47$	11.5799			1.68910			0.844549	−	0.535479i	$-0.179869\pi$
$47$	11.5799			1.68910			0.844549	+	0.535479i	$0.179869\pi$
$48$	8.09573	+	4.74989i	1.16852	+	0.685587i
$49$	−7.79917	+	9.00072i	−1.11417	+	1.28582i
$50$	−6.75168	−	11.1205i	−0.954832	−	1.57268i
$51$	−1.17719	−	0.169255i	−0.164840	−	0.0237004i
$52$	−0.958236	+	2.73762i	−0.132883	+	0.379640i
$53$	−8.99787	+	4.10919i	−1.23595	+	0.564440i	−0.922806	−	0.385265i	$-0.874110\pi$
$53$	−8.99787	+	4.10919i	−1.23595	+	0.564440i	−0.313146	+	0.949705i	$0.601383\pi$
$54$	1.58300	−	0.421197i	0.215419	−	0.0573176i
$55$	−1.50673	−	10.4796i	−0.203168	−	1.41306i
$56$	12.0045	+	2.67746i	1.60417	+	0.357791i
$57$	−4.54963	+	1.33589i	−0.602614	+	0.176943i
$58$	−0.279378	+	1.64381i	−0.0366841	+	0.215843i
$59$	1.14788	+	0.524220i	0.149441	+	0.0682476i	0.488732	−	0.872434i	$-0.337460\pi$
$59$	1.14788	+	0.524220i	0.149441	+	0.0682476i	−0.339290	+	0.940682i	$0.610187\pi$
$60$	12.2485	−	12.7562i	1.58127	−	1.64682i
$61$	−6.78339	+	5.87784i	−0.868524	+	0.752580i	−0.970217	−	0.242236i	$-0.922119\pi$
$61$	−6.78339	+	5.87784i	−0.868524	+	0.752580i	0.101694	+	0.994816i	$0.467574\pi$
$62$	−0.291498	+	11.4070i	−0.0370203	+	1.44869i
$63$	−9.16890	+	5.89249i	−1.15517	+	0.742384i
$64$	−2.17319	−	7.69917i	−0.271649	−	0.962396i
$65$	4.59726	+	2.95448i	0.570220	+	0.366458i
$66$	8.57758	−	3.65540i	1.05583	−	0.449948i
$67$	−0.439020	+	1.49516i	−0.0536348	+	0.182663i	−0.981954	−	0.189122i	$-0.939436\pi$
$67$	−0.439020	+	1.49516i	−0.0536348	+	0.182663i	0.928319	+	0.371785i	$0.121254\pi$
$68$	0.623806	+	0.798969i	0.0756476	+	0.0968893i
$69$	−3.21648	−	10.7843i	−0.387219	−	1.29828i
$70$	10.1619	−	20.8264i	1.21458	−	2.48924i
$71$	−3.81036	−	1.11882i	−0.452206	−	0.132780i	0.0476954	−	0.998862i	$-0.484812\pi$
$71$	−3.81036	−	1.11882i	−0.452206	−	0.132780i	−0.499902	+	0.866082i	$0.666631\pi$
$72$	6.20408	+	3.43006i	0.731157	+	0.404236i
$73$	−3.83656	−	2.46561i	−0.449036	−	0.288578i	0.296513	−	0.955029i	$-0.404176\pi$
$73$	−3.83656	−	2.46561i	−0.449036	−	0.288578i	−0.745549	+	0.666451i	$0.767813\pi$
$74$	2.10698	+	1.43142i	0.244932	+	0.166400i
$75$	−11.6706	−	18.1598i	−1.34761	−	2.09692i
$76$	3.58564	+	1.86443i	0.411301	+	0.213864i
$77$	9.23365	−	8.00100i	1.05227	−	0.911798i
$78$	−1.47342	+	4.58161i	−0.166832	+	0.518765i
$79$	−4.36275	+	9.55308i	−0.490847	+	1.07481i	0.488490	+	0.872570i	$0.337548\pi$
$79$	−4.36275	+	9.55308i	−0.490847	+	1.07481i	−0.979337	+	0.202236i	$0.935179\pi$
$80$	−15.0603	+	0.611852i	−1.68380	+	0.0684072i
$81$	9.82250	−	2.88415i	1.09139	−	0.320461i
$82$	−8.15359	+	6.70823i	−0.900413	+	0.740800i
$83$	−9.43680	+	1.35681i	−1.03582	+	0.148929i	−0.639191	−	0.769048i	$-0.720731\pi$
$83$	−9.43680	+	1.35681i	−1.03582	+	0.148929i	−0.396633	+	0.917977i	$0.629821\pi$
$84$	20.0258	+	3.93235i	2.18499	+	0.429055i
$85$	1.73723	−	0.793364i	0.188429	−	0.0860524i
$86$	0.0697246	+	0.591934i	0.00751860	+	0.0638299i
$87$	−0.393735	+	2.73849i	−0.0422129	+	0.293597i
$88$	−7.43118	−	2.81619i	−0.792167	−	0.300207i
$89$	−7.96093	+	9.18740i	−0.843857	+	0.973862i	−0.999904	−	0.0138873i	$-0.995579\pi$
$89$	−7.96093	+	9.18740i	−0.843857	+	0.973862i	0.156047	+	0.987750i	$0.450125\pi$
$90$	9.00172	−	9.86750i	0.948865	−	1.04013i
$91$			6.30641i			0.661091i
$92$	−4.38868	+	8.52874i	−0.457552	+	0.889183i
$93$			18.9335i			1.96331i
$94$	−12.0985	−	11.0369i	−1.24786	−	1.13837i
$95$	4.98635	−	5.75455i	0.511589	−	0.590405i
$96$	−3.93110	−	12.6788i	−0.401216	−	1.29402i
$97$	0.199115	−	1.38487i	0.0202170	−	0.140613i	−0.977213	−	0.212262i	$-0.931917\pi$
$97$	0.199115	−	1.38487i	0.0202170	−	0.140613i	0.997430	+	0.0716491i	$0.0228262\pi$
$98$	16.7272	−	1.97031i	1.68970	−	0.199031i
$99$	6.40571	−	2.92539i	0.643799	−	0.294013i
$100$	−3.54510	+	18.0537i	−0.354510	+	1.80537i
$101$	9.73250	−	1.39932i	0.968420	−	0.139238i	0.360086	−	0.932919i	$-0.382747\pi$
$101$	9.73250	−	1.39932i	0.968420	−	0.139238i	0.608334	+	0.793681i	$0.291838\pi$
$102$	1.06859	+	1.29884i	0.105807	+	0.128604i
$103$	−1.82521	+	0.535931i	−0.179844	+	0.0528069i	−0.370414	−	0.928867i	$-0.620784\pi$
$103$	−1.82521	+	0.535931i	−0.179844	+	0.0528069i	0.190571	+	0.981673i	$0.438966\pi$
$104$	3.61042	−	1.94692i	0.354030	−	0.190911i
$105$	15.9731	−	34.9763i	1.55882	−	3.41333i
$106$	13.3174	+	4.28278i	1.29350	+	0.415980i
$107$	13.1018	−	11.3528i	1.26660	−	1.09752i	0.275939	−	0.961175i	$-0.411011\pi$
$107$	13.1018	−	11.3528i	1.26660	−	1.09752i	0.990662	−	0.136341i	$-0.0435343\pi$
$108$	−2.05534	−	1.06872i	−0.197775	−	0.102837i
$109$	−5.22510	−	8.13042i	−0.500474	−	0.778753i	0.495480	−	0.868619i	$-0.334992\pi$
$109$	−5.22510	−	8.13042i	−0.500474	−	0.778753i	−0.995954	+	0.0898667i	$0.971356\pi$
$110$	−8.41400	+	12.3850i	−0.802243	+	1.18086i
$111$	3.55560	+	2.28504i	0.337482	+	0.216887i
$112$	−9.99020	−	14.2390i	−0.943985	−	1.34546i
$113$	−14.5526	−	4.27304i	−1.36900	−	0.401974i	−0.487071	−	0.873362i	$-0.661935\pi$
$113$	−14.5526	−	4.27304i	−1.36900	−	0.401974i	−0.881926	+	0.471389i	$0.843753\pi$
$114$	6.02664	+	2.94060i	0.564447	+	0.275412i
$115$	13.7078	+	11.7761i	1.27826	+	1.09813i
$116$	1.85863	−	1.45115i	0.172569	−	0.134736i
$117$	−1.02406	+	3.48763i	−0.0946744	+	0.322432i
$118$	−0.699646	−	1.64176i	−0.0644077	−	0.151136i
$119$	1.85407	+	1.19154i	0.169963	+	0.109228i
$120$	−24.9551	+	1.65328i	−2.27808	+	0.150923i
$121$	2.61278	−	1.67913i	0.237526	−	0.152649i
$122$	12.6894	+	0.324270i	1.14885	+	0.0293581i
$123$	−13.2403	+	11.4728i	−1.19384	+	1.03447i
$124$	11.1767	−	11.6400i	1.00370	−	1.04530i
$125$	14.3935	+	6.57331i	1.28740	+	0.587935i
$126$	15.1957	+	2.58262i	1.35374	+	0.230078i
$127$	3.89512	−	1.14371i	0.345636	−	0.101488i	−0.104307	−	0.994545i	$-0.533262\pi$
$127$	3.89512	−	1.14371i	0.345636	−	0.101488i	0.449943	+	0.893057i	$0.351444\pi$
$128$	−5.06767	+	10.1153i	−0.447923	+	0.894072i
$129$	0.140745	+	0.978906i	0.0123919	+	0.0861878i
$130$	−1.98719	−	7.46851i	−0.174288	−	0.655032i
$131$	−12.1401	+	5.54421i	−1.06069	+	0.484400i	−0.867847	−	0.496831i	$-0.834497\pi$
$131$	−12.1401	+	5.54421i	−1.06069	+	0.484400i	−0.192840	+	0.981230i	$0.561770\pi$
$132$	−12.4457	−	4.35631i	−1.08326	−	0.379168i
$133$	8.69761	+	1.25053i	0.754178	+	0.108434i
$134$	1.88374	−	1.14369i	0.162731	−	0.0987996i
$135$	−2.85825	+	3.29859i	−0.245999	+	0.283898i
$136$	0.109766	−	1.42931i	0.00941239	−	0.122562i
$137$	−10.9682			−0.937078			−0.468539	−	0.883443i	$-0.655219\pi$
$137$	−10.9682			−0.937078			−0.468539	+	0.883443i	$0.655219\pi$
$138$	−6.91814	+	14.3329i	−0.588911	+	1.22010i
$139$		−	2.34868i		−	0.199213i	−0.995027	−	0.0996063i	$-0.968242\pi$
$139$		−	2.34868i		−	0.199213i	0.995027	−	0.0996063i	$-0.0317583\pi$
$140$	−30.4670	+	12.0737i	−2.57493	+	1.02041i
$141$	−20.5360	−	17.7945i	−1.72944	−	1.49857i
$142$	2.91464	+	4.80063i	0.244591	+	0.402860i
$143$	0.579888	−	4.03321i	0.0484926	−	0.337274i
$144$	−3.21268	−	9.49686i	−0.267724	−	0.791405i
$145$	−1.84559	−	4.04128i	−0.153268	−	0.335610i
$146$	1.65837	+	6.23271i	0.137248	+	0.515823i
$147$	27.6624	−	3.97725i	2.28155	−	0.328038i
$148$	−0.837029	−	3.50372i	−0.0688033	−	0.288004i
$149$	−3.50526	−	11.9378i	−0.287162	−	0.977984i	−0.969119	−	0.246592i	$-0.920689\pi$
$149$	−3.50526	−	11.9378i	−0.287162	−	0.977984i	0.681958	−	0.731392i	$-0.261129\pi$
$150$	−5.11512	+	30.0965i	−0.417648	+	2.45737i
$151$	−4.28382	+	9.38026i	−0.348613	+	0.763355i	0.651377	+	0.758754i	$0.274192\pi$
$151$	−4.28382	+	9.38026i	−0.348613	+	0.763355i	−0.999989	+	0.00460069i	$0.998536\pi$
$152$	−1.96920	−	5.36544i	−0.159723	−	0.435195i
$153$	0.831870	+	0.960029i	0.0672527	+	0.0776137i
$154$	−17.2730	−	0.441401i	−1.39190	−	0.0355691i
$155$	−16.4376	−	25.5774i	−1.32030	−	2.05443i
$156$	5.90619	−	3.38245i	0.472874	−	0.270813i
$157$	−7.08344	+	11.0220i	−0.565320	+	0.879655i	−0.999779	−	0.0210369i	$-0.993303\pi$
$157$	−7.08344	+	11.0220i	−0.565320	+	0.879655i	0.434459	+	0.900692i	$0.356940\pi$
$158$	13.6633	−	5.82271i	1.08699	−	0.463230i
$159$	22.2715	+	6.53950i	1.76624	+	0.518616i
$160$	16.3179	+	13.7150i	1.29005	+	1.08426i
$161$	−2.88005	+	20.6550i	−0.226980	+	1.62784i
$162$	−13.0113	−	6.34866i	−1.02227	−	0.498797i
$163$	−3.25643	+	11.0904i	−0.255063	+	0.868665i	0.728028	+	0.685547i	$0.240437\pi$
$163$	−3.25643	+	11.0904i	−0.255063	+	0.868665i	−0.983091	+	0.183118i	$0.941381\pi$
$164$	14.9124	+	0.762654i	1.16447	+	0.0595533i
$165$	−13.4316	+	20.9000i	−1.04565	+	1.62706i
$166$	11.1526	+	7.57678i	0.865611	+	0.588072i
$167$	1.02800	−	0.660656i	0.0795491	−	0.0511231i	−0.500262	−	0.865874i	$-0.666763\pi$
$167$	1.02800	−	0.660656i	0.0795491	−	0.0511231i	0.579811	+	0.814751i	$0.303126\pi$
$168$	−17.1746	−	23.1953i	−1.32505	−	1.78956i
$169$	−7.13589	−	8.23525i	−0.548914	−	0.633481i
$170$	−2.57119	−	0.826880i	−0.197201	−	0.0634188i
$171$	4.60697	+	2.10393i	0.352304	+	0.160892i
$172$	0.491334	−	0.684899i	0.0374638	−	0.0522230i
$173$	−0.868642	−	2.95832i	−0.0660417	−	0.224917i	0.919859	−	0.392249i	$-0.128303\pi$
$173$	−0.868642	−	2.95832i	−0.0660417	−	0.224917i	−0.985901	+	0.167332i	$0.946485\pi$
$174$	3.02146	−	2.48586i	0.229056	−	0.188452i
$175$	5.69303	+	39.5959i	0.430353	+	2.99317i
$176$	5.07983	+	10.0251i	0.382907	+	0.755668i
$177$	−1.23012	−	2.69358i	−0.0924613	−	0.202462i
$178$	17.0741	−	2.01118i	1.27976	−	0.150744i
$179$	0.900585	+	0.129485i	0.0673129	+	0.00967813i	0.175889	−	0.984410i	$-0.443720\pi$
$179$	0.900585	+	0.129485i	0.0673129	+	0.00967813i	−0.108576	+	0.994088i	$0.534629\pi$
$180$	−18.8097	+	1.72974i	−1.40199	+	0.128927i
$181$	19.0638	+	16.5189i	1.41700	+	1.22784i	0.936414	+	0.350896i	$0.114123\pi$
$181$	19.0638	+	16.5189i	1.41700	+	1.22784i	0.480590	+	0.876945i	$0.340422\pi$
$182$	6.01073	−	6.58883i	0.445545	−	0.488397i
$183$	21.0621			1.55696
$184$	12.7141	−	4.72778i	0.937295	−	0.348537i
$185$	−6.78710			−0.498998
$186$	18.0458	−	19.7814i	1.32318	−	1.45044i
$187$	−1.07619	−	0.932525i	−0.0786989	−	0.0681930i
$188$	2.12082	+	23.0624i	0.154677	+	1.68200i
$189$	−4.98560	−	0.716821i	−0.362649	−	0.0521410i
$190$	−10.6944	+	1.25971i	−0.775853	+	0.0913887i
$191$	−5.86082	−	12.8334i	−0.424074	−	0.928592i	−0.994251	−	0.107071i	$-0.965853\pi$
$191$	−5.86082	−	12.8334i	−0.424074	−	0.928592i	0.570177	−	0.821522i	$-0.306874\pi$
$192$	−7.97715	+	16.9933i	−0.575701	+	1.22639i
$193$	2.43504	+	16.9361i	0.175278	+	1.21909i	0.867513	+	0.497414i	$0.165717\pi$
$193$	2.43504	+	16.9361i	0.175278	+	1.21909i	−0.692235	+	0.721672i	$0.743374\pi$
$194$	−1.52797	+	1.25711i	−0.109702	+	0.0902556i
$195$	−3.61279	−	12.3040i	−0.258717	−	0.881111i
$196$	−19.3542	−	13.8843i	−1.38244	−	0.991739i
$197$	−9.88574	−	4.51467i	−0.704330	−	0.321657i	0.0308544	−	0.999524i	$-0.490177\pi$
$197$	−9.88574	−	4.51467i	−0.704330	−	0.321657i	−0.735184	+	0.677867i	$0.762904\pi$
$198$	−9.48082	−	3.04897i	−0.673773	−	0.216681i
$199$	−0.336842	−	0.388736i	−0.0238781	−	0.0275568i	0.743685	−	0.668530i	$-0.233076\pi$
$199$	−0.336842	−	0.388736i	−0.0238781	−	0.0275568i	−0.767563	+	0.640974i	$0.778531\pi$
$200$	20.9111	−	15.4833i	1.47864	−	1.09484i
$201$	3.07615	−	1.97692i	0.216975	−	0.139441i
$202$	−11.5021	−	7.81419i	−0.809283	−	0.549805i
$203$	2.77186	−	4.31310i	0.194546	−	0.302720i
$204$	0.121488	−	2.37550i	0.00850585	−	0.166318i
$205$	7.92603	−	26.9936i	0.553578	−	1.88531i
$206$	2.41776	+	1.17970i	0.168453	+	0.0821939i
$207$	−4.94679	+	10.9551i	−0.343826	+	0.761434i
$208$	−5.62774	−	1.40703i	−0.390213	−	0.0975601i
$209$	−5.44749	−	1.59953i	−0.376811	−	0.110642i
$210$	−50.0248	+	21.3184i	−3.45204	+	1.47111i
$211$	5.51272	−	8.57796i	0.379511	−	0.590531i	−0.597979	−	0.801512i	$-0.704029\pi$
$211$	5.51272	−	8.57796i	0.379511	−	0.590531i	0.977490	+	0.210981i	$0.0676657\pi$
$212$	−9.83178	−	17.1675i	−0.675249	−	1.17907i
$213$	5.03809	+	7.83943i	0.345204	+	0.537149i
$214$	−24.5091	−	0.626314i	−1.67541	−	0.0428140i
$215$	−1.04000	−	1.20022i	−0.0709272	−	0.0818543i
$216$	1.12878	+	3.07555i	0.0768035	+	0.209265i
$217$	14.5754	−	31.9158i	0.989445	−	2.16658i
$218$	−2.29011	+	13.4746i	−0.155106	+	0.912618i
$219$	3.01499	+	10.2681i	0.203734	+	0.693855i
$220$	20.5951	−	4.92010i	1.38852	−	0.331713i
$221$	0.727537	−	0.104604i	0.0489394	−	0.00703643i
$222$	−1.53692	−	5.77626i	−0.103152	−	0.387677i
$223$	−2.09834	−	4.59472i	−0.140515	−	0.307685i	0.826271	−	0.563273i	$-0.190458\pi$
$223$	−2.09834	−	4.59472i	−0.140515	−	0.307685i	−0.966786	+	0.255588i	$0.917731\pi$
$224$	−3.13383	+	24.3985i	−0.209388	+	1.63020i
$225$	−3.28133	+	22.8222i	−0.218755	+	1.52148i
$226$	11.1317	+	18.3347i	0.740467	+	1.21961i
$227$	2.43310	+	2.10829i	0.161490	+	0.139932i	0.731857	−	0.681458i	$-0.238654\pi$
$227$	2.43310	+	2.10829i	0.161490	+	0.139932i	−0.570367	+	0.821390i	$0.693199\pi$
$228$	−3.49381	−	8.81637i	−0.231383	−	0.583878i
$229$		−	10.8110i		−	0.714408i	−0.934026	−	0.357204i	$-0.883730\pi$
$229$		−	10.8110i		−	0.714408i	0.934026	−	0.357204i	$-0.116270\pi$
$230$	−3.09775	−	25.3687i	−0.204259	−	1.67276i
$231$	−28.6701			−1.88635
$232$	−3.32498	−	0.255348i	−0.218296	−	0.0167644i
$233$	16.9126	−	19.5182i	1.10798	−	1.27868i	0.151002	−	0.988533i	$-0.451750\pi$
$233$	16.9126	−	19.5182i	1.10798	−	1.27868i	0.956982	−	0.290148i	$-0.0937046\pi$
$234$	4.39403	−	2.66777i	0.287247	−	0.174398i
$235$	43.1910	+	6.20992i	2.81747	+	0.405091i
$236$	−0.833803	+	2.38212i	−0.0542759	+	0.155063i
$237$	22.4170	−	10.2375i	1.45614	−	0.664996i
$238$	−0.801432	−	3.01204i	−0.0519491	−	0.195242i
$239$	−3.19587	−	22.2278i	−0.206724	−	1.43780i	−0.783754	−	0.621072i	$-0.786697\pi$
$239$	−3.19587	−	22.2278i	−0.206724	−	1.43780i	0.577030	−	0.816723i	$-0.304212\pi$
$240$	27.6485	+	22.0578i	1.78470	+	1.42382i
$241$	12.6543	−	3.71563i	0.815134	−	0.239345i	0.152514	−	0.988301i	$-0.451263\pi$
$241$	12.6543	−	3.71563i	0.815134	−	0.239345i	0.662619	+	0.748956i	$0.269445\pi$
$242$	−4.33020	−	0.735949i	−0.278356	−	0.0473086i
$243$	−18.6906	−	8.53569i	−1.19900	−	0.547565i
$244$	−12.9486	−	12.4333i	−0.828952	−	0.795958i
$245$	−33.9164	+	29.3887i	−2.16684	+	1.87758i
$246$	24.7681	+	0.632933i	1.57916	+	0.0403543i
$247$	2.46529	−	1.58435i	0.156863	−	0.100810i
$248$	−22.7715	+	1.50861i	−1.44599	+	0.0957968i
$249$	18.8204	+	12.0951i	1.19269	+	0.766497i
$250$	−8.77303	−	20.5864i	−0.554855	−	1.30200i
$251$	−5.77516	+	19.6684i	−0.364525	+	1.24146i	0.549395	+	0.835563i	$0.314858\pi$
$251$	−5.77516	+	19.6684i	−0.364525	+	1.24146i	−0.913920	+	0.405894i	$0.866960\pi$
$252$	−13.4147	−	17.1816i	−0.845048	−	1.08234i
$253$	3.74118	−	12.9449i	0.235206	−	0.813837i
$254$	−5.15964	−	2.51756i	−0.323745	−	0.157966i
$255$	−4.29997	−	1.26259i	−0.269275	−	0.0790662i
$256$	14.9356	−	5.73820i	0.933477	−	0.358638i
$257$	7.33589	+	4.71449i	0.457600	+	0.294082i	0.749061	−	0.662501i	$-0.230505\pi$
$257$	7.33589	+	4.71449i	0.457600	+	0.294082i	−0.291461	+	0.956583i	$0.594141\pi$
$258$	0.785960	−	1.15689i	0.0489317	−	0.0720249i
$259$	−4.23451	−	6.58902i	−0.263119	−	0.409422i
$260$	−5.04216	+	9.69700i	−0.312702	+	0.601382i
$261$	2.23330	−	1.93517i	0.138238	−	0.119784i
$262$	17.9681	+	5.77842i	1.11007	+	0.356992i
$263$	−2.15069	+	4.70935i	−0.132617	+	0.290391i	−0.964278	−	0.264893i	$-0.914663\pi$
$263$	−2.15069	+	4.70935i	−0.132617	+	0.290391i	0.831661	+	0.555284i	$0.187391\pi$
$264$	8.85103	+	16.4136i	0.544743	+	1.01019i
$265$	−35.7642	+	10.5013i	−2.19697	+	0.645090i
$266$	−7.89523	−	9.59635i	−0.484088	−	0.588390i
$267$	28.2361	−	4.05974i	1.72802	−	0.248452i
$268$	−3.05817	−	0.600516i	−0.186807	−	0.0366823i
$269$	3.85840	−	1.76207i	0.235251	−	0.107435i	−0.294302	−	0.955712i	$-0.595087\pi$
$269$	3.85840	−	1.76207i	0.235251	−	0.107435i	0.529553	+	0.848277i	$0.322360\pi$
$270$	6.13019	−	0.722082i	0.373071	−	0.0439445i
$271$	−0.393604	+	2.73758i	−0.0239097	+	0.166296i	−0.998278	−	0.0586639i	$-0.981316\pi$
$271$	−0.393604	+	2.73758i	−0.0239097	+	0.166296i	0.974368	+	0.224960i	$0.0722251\pi$
$272$	−1.47698	+	1.38870i	−0.0895548	+	0.0842022i
$273$	9.69091	−	11.1839i	0.586520	−	0.676881i
$274$	11.4594	+	10.4540i	0.692288	+	0.631547i
$275$		−	25.8467i		−	1.55861i
$276$	20.8889	−	8.38105i	1.25736	−	0.504480i
$277$		−	6.75364i		−	0.405787i	−0.979201	−	0.202894i	$-0.934965\pi$
$277$		−	6.75364i		−	0.405787i	0.979201	−	0.202894i	$-0.0650345\pi$
$278$	−2.23856	+	2.45386i	−0.134260	+	0.147173i
$279$	13.2433	−	15.2835i	0.792854	−	0.915002i
$280$	43.3390	+	16.4241i	2.59000	+	0.981530i
$281$	2.17338	−	15.1162i	0.129653	−	0.901755i	−0.816341	−	0.577570i	$-0.804001\pi$
$281$	2.17338	−	15.1162i	0.129653	−	0.901755i	0.945994	−	0.324185i	$-0.105090\pi$
$282$	4.49544	+	38.1645i	0.267700	+	2.27267i
$283$	−6.08878	+	2.78065i	−0.361940	+	0.165293i	−0.588081	−	0.808802i	$-0.700116\pi$
$283$	−6.08878	+	2.78065i	−0.361940	+	0.165293i	0.226141	+	0.974095i	$0.427389\pi$
$284$	1.53039	−	7.79361i	0.0908117	−	0.462465i
$285$	−17.6858	+	2.54283i	−1.04761	+	0.150624i
$286$	−4.44996	+	3.66113i	−0.263132	+	0.216487i
$287$	31.1508	−	9.14671i	1.83878	−	0.539913i
$288$	−5.69504	+	12.9842i	−0.335583	+	0.765103i
$289$	−6.95535	+	15.2301i	−0.409138	+	0.895887i
$290$	−1.92356	+	5.98132i	−0.112955	+	0.351235i
$291$	−2.48122	+	2.14999i	−0.145451	+	0.126034i
$292$	4.20784	−	8.09246i	0.246245	−	0.473575i
$293$	−4.65883	−	7.24928i	−0.272172	−	0.423507i	0.678081	−	0.734987i	$-0.262812\pi$
$293$	−4.65883	−	7.24928i	−0.272172	−	0.423507i	−0.950253	+	0.311480i	$0.899175\pi$
$294$	−32.6920	−	22.2100i	−1.90664	−	1.29532i
$295$	4.00028	+	2.57082i	0.232905	+	0.149679i
$296$	−2.46493	+	4.45842i	−0.143271	+	0.259140i
$297$	3.12258	+	0.916872i	0.181191	+	0.0532023i
$298$	−7.71586	+	15.8133i	−0.446968	+	0.916042i
$299$	3.78509	+	5.83495i	0.218897	+	0.337444i
$300$	34.0296	−	26.5691i	1.96470	−	1.53397i
$301$	0.516332	−	1.75847i	0.0297609	−	0.101356i
$302$	13.4161	−	5.71738i	0.772012	−	0.328998i
$303$	−19.4101	−	12.4741i	−1.11508	−	0.716619i
$304$	−3.05649	+	7.48260i	−0.175302	+	0.429157i
$305$	−28.4530	+	18.2856i	−1.62921	+	1.04703i
$306$	0.0458928	−	1.79589i	0.00262352	−	0.102664i
$307$	−15.9592	+	13.8288i	−0.910842	+	0.789250i	−0.978024	−	0.208491i	$-0.933145\pi$
$307$	−15.9592	+	13.8288i	−0.910842	+	0.789250i	0.0671817	+	0.997741i	$0.478599\pi$
$308$	17.6259	+	16.9243i	1.00433	+	0.964354i
$309$	4.06042	+	1.85433i	0.230989	+	0.105489i
$310$	−7.20445	+	42.3898i	−0.409185	+	2.40758i
$311$	14.2023	−	4.17017i	0.805339	−	0.236469i	0.146947	−	0.989144i	$-0.453055\pi$
$311$	14.2023	−	4.17017i	0.805339	−	0.236469i	0.658392	+	0.752675i	$0.271237\pi$
$312$	−9.39456	−	2.09534i	−0.531862	−	0.118625i
$313$	0.312501	+	2.17349i	0.0176636	+	0.122853i	0.996745	−	0.0806140i	$-0.0256881\pi$
$313$	0.312501	+	2.17349i	0.0176636	+	0.122853i	−0.979082	+	0.203467i	$0.934779\pi$
$314$	17.9059	−	4.76433i	1.01049	−	0.268867i
$315$	−37.3584	+	17.0610i	−2.10491	+	0.961279i
$316$	−19.8249	−	6.93921i	−1.11524	−	0.390361i
$317$	26.5488	+	3.81714i	1.49113	+	0.214392i	0.839173	−	0.543865i	$-0.183040\pi$
$317$	26.5488	+	3.81714i	1.49113	+	0.214392i	0.651956	+	0.758257i	$0.273949\pi$
$318$	−17.0360	−	28.0596i	−0.955331	−	1.57351i
$319$	−2.16932	+	2.50353i	−0.121458	+	0.140171i
$320$	−3.97682	−	29.8820i	−0.222311	−	1.67046i
$321$	−40.6806			−2.27057
$322$	22.6956	−	18.8350i	1.26477	−	1.04963i
$323$		−	1.02414i		−	0.0569847i
$324$	7.54302	+	19.0342i	0.419057	+	1.05746i
$325$	10.0825	+	8.73656i	0.559278	+	0.484617i
$326$	13.9727	−	8.48330i	0.773874	−	0.469846i
$327$	−3.22752	+	22.4479i	−0.178483	+	1.24137i
$328$	−14.8534	−	15.0101i	−0.820141	−	0.828792i
$329$	20.9184	+	45.8048i	1.15327	+	2.52530i
$330$	33.9532	−	9.03412i	1.86906	−	0.497312i
$331$	−10.8132	+	1.55470i	−0.594348	+	0.0854543i	−0.432923	−	0.901431i	$-0.642518\pi$
$331$	−10.8132	+	1.55470i	−0.594348	+	0.0854543i	−0.161424	+	0.986885i	$0.551609\pi$
$332$	−4.43054	−	18.5458i	−0.243157	−	1.01783i
$333$	−1.27185	−	4.33154i	−0.0696972	−	0.237367i
$334$	−1.70372	−	0.289559i	−0.0932234	−	0.0158440i
$335$	−2.43928	+	5.34128i	−0.133272	+	0.291825i
$336$	−4.16399	+	40.6035i	−0.227164	+	2.21510i
$337$	−11.6349	−	13.4274i	−0.633794	−	0.731437i	0.344471	−	0.938797i	$-0.388058\pi$
$337$	−11.6349	−	13.4274i	−0.633794	−	0.731437i	−0.978265	+	0.207360i	$0.933513\pi$
$338$	−0.393675	+	15.4054i	−0.0214131	+	0.837942i
$339$	19.2416	+	29.9406i	1.04506	+	1.62615i
$340$	1.89823	+	3.31455i	0.102946	+	0.179757i
$341$	−12.2563	+	19.0712i	−0.663717	+	1.03276i
$342$	−2.80800	−	6.58912i	−0.151839	−	0.356299i
$343$	−20.4849	−	6.01492i	−1.10608	−	0.324775i
$344$	−1.16612	+	0.247274i	−0.0628732	+	0.0133321i
$345$	−6.21366	−	41.9485i	−0.334532	−	2.25843i
$346$	−1.91208	+	3.91873i	−0.102794	+	0.210672i
$347$	4.43254	−	15.0959i	0.237951	−	0.810388i	−0.750763	−	0.660572i	$-0.770314\pi$
$347$	4.43254	−	15.0959i	0.237951	−	0.810388i	0.988714	−	0.149816i	$-0.0478681\pi$
$348$	−5.52608	−	0.282615i	−0.296229	−	0.0151498i
$349$	1.64712	−	2.56297i	0.0881685	−	0.137193i	−0.794368	−	0.607437i	$-0.792198\pi$
$349$	1.64712	−	2.56297i	0.0881685	−	0.137193i	0.882536	+	0.470244i	$0.155834\pi$
$350$	31.7914	−	46.7953i	1.69932	−	2.50131i
$351$	−1.41314	+	0.908171i	−0.0754279	+	0.0484746i
$352$	4.24771	−	15.3157i	0.226404	−	0.816329i
$353$	10.1083	+	11.6656i	0.538010	+	0.620896i	0.958047	−	0.286610i	$-0.0925285\pi$
$353$	10.1083	+	11.6656i	0.538010	+	0.620896i	−0.420037	+	0.907507i	$0.637983\pi$
$354$	−1.28208	+	3.98665i	−0.0681420	+	0.211888i
$355$	−13.6120	−	6.21639i	−0.722450	−	0.329932i
$356$	−19.7556	−	14.1723i	−1.04705	−	0.751131i
$357$	−1.45704	−	4.96221i	−0.0771145	−	0.262628i
$358$	−0.817503	−	0.993644i	−0.0432064	−	0.0525157i
$359$	−4.15934	−	28.9289i	−0.219522	−	1.52681i	−0.739810	−	0.672816i	$-0.765085\pi$
$359$	−4.15934	−	28.9289i	−0.219522	−	1.52681i	0.520288	−	0.853991i	$-0.325825\pi$
$360$	21.3007	+	16.1206i	1.12265	+	0.849630i
$361$	6.19666	+	13.5688i	0.326140	+	0.714146i
$362$	−4.17319	−	35.4287i	−0.219338	−	1.86209i
$363$	−7.21385	−	1.03719i	−0.378629	−	0.0544386i
$364$	−12.5598	+	1.15500i	−0.658313	+	0.0605385i
$365$	−12.9875	−	11.2537i	−0.679797	−	0.589048i
$366$	−22.0054	−	20.0746i	−1.15024	−	1.04932i
$367$	−20.1083			−1.04965			−0.524823	−	0.851212i	$-0.675868\pi$
$367$	−20.1083			−1.04965			−0.524823	+	0.851212i	$0.675868\pi$
$368$	−17.7896	−	7.17847i	−0.927347	−	0.374204i
$369$	18.7126			0.974140
$370$	7.09106	+	6.46888i	0.368646	+	0.336301i
$371$	−32.5082	−	28.1686i	−1.68774	−	1.46244i
$372$	−37.7079	+	3.46762i	−1.95506	+	0.179788i
$373$	6.08669	+	0.875134i	0.315157	+	0.0453127i	0.298078	−	0.954541i	$-0.403654\pi$
$373$	6.08669	+	0.875134i	0.315157	+	0.0453127i	0.0170786	+	0.999854i	$0.494563\pi$
$374$	0.235585	+	2.00002i	0.0121818	+	0.103419i
$375$	−15.4247	−	33.7755i	−0.796530	−	1.74416i
$376$	19.7653	−	26.1166i	1.01932	−	1.34686i
$377$	−0.243339	−	1.69246i	−0.0125326	−	0.0871660i
$378$	4.52566	+	5.50077i	0.232775	+	0.282929i
$379$	6.96944	+	23.7357i	0.357996	+	1.21922i	0.919944	+	0.392050i	$0.128234\pi$
$379$	6.96944	+	23.7357i	0.357996	+	1.21922i	−0.561948	+	0.827172i	$0.689948\pi$
$380$	12.3740	+	8.87686i	0.634772	+	0.455374i
$381$	−8.66519	−	3.95726i	−0.443931	−	0.202737i
$382$	−6.10841	+	18.9942i	−0.312533	+	0.971826i
$383$	7.18892	+	8.29646i	0.367337	+	0.423929i	0.909084	−	0.416612i	$-0.136783\pi$
$383$	7.18892	+	8.29646i	0.367337	+	0.423929i	−0.541748	+	0.840541i	$0.682237\pi$
$384$	24.5310	−	10.1512i	1.25184	−	0.518028i
$385$	38.7306	−	24.8907i	1.97390	−	1.26855i
$386$	13.5979	−	20.0154i	0.692116	−	1.01876i
$387$	0.571094	−	0.888640i	0.0290304	−	0.0451721i
$388$	2.79458	+	0.142921i	0.141873	+	0.00725569i
$389$	−2.44620	+	8.33101i	−0.124028	+	0.422399i	−0.997974	−	0.0636233i	$-0.979734\pi$
$389$	−2.44620	+	8.33101i	−0.124028	+	0.422399i	0.873946	+	0.486022i	$0.161553\pi$
$390$	−7.95257	+	16.2985i	−0.402694	+	0.825305i
$391$	2.43062	−	0.0103468i	0.122922	−	0.000523258i
$392$	6.98760	+	32.9529i	0.352927	+	1.66437i
$393$	30.0492	+	8.82323i	1.51578	+	0.445073i
$394$	6.02547	+	14.1391i	0.303559	+	0.712317i
$395$	−21.3953	+	33.2918i	−1.07652	+	1.67509i
$396$	6.99939	+	12.2218i	0.351733	+	0.614170i
$397$	11.0312	+	17.1648i	0.553638	+	0.861477i	0.999433	−	0.0336576i	$-0.0107156\pi$
$397$	11.0312	+	17.1648i	0.553638	+	0.861477i	−0.445796	+	0.895135i	$0.647079\pi$
$398$	−0.0185830	+	0.727193i	−0.000931480	+	0.0364509i
$399$	−13.5029	−	15.5831i	−0.675988	−	0.780132i
$400$	−36.6049	−	3.75393i	−1.83025	−	0.187696i
$401$	−1.71260	+	3.75006i	−0.0855230	+	0.187269i	−0.947561	−	0.319574i	$-0.896460\pi$
$401$	−1.71260	+	3.75006i	−0.0855230	+	0.187269i	0.862038	+	0.506843i	$0.169188\pi$
$402$	−5.09815	−	0.866466i	−0.254272	−	0.0432154i
$403$	−3.29667	−	11.2274i	−0.164219	−	0.559277i
$404$	4.56937	+	19.1269i	0.227334	+	0.951601i
$405$	38.1830	−	5.48988i	1.89733	−	0.272794i
$406$	−7.00687	+	1.86436i	−0.347745	+	0.0925265i
$407$	2.10227	+	4.60332i	0.104205	+	0.228178i
$408$	−2.39105	+	2.36609i	−0.118374	+	0.117139i
$409$	1.46362	−	10.1797i	0.0723714	−	0.503354i	−0.921105	−	0.389315i	$-0.872712\pi$
$409$	1.46362	−	10.1797i	0.0723714	−	0.503354i	0.993476	−	0.114040i	$-0.0363791\pi$
$410$	−34.0089	+	20.6480i	−1.67958	+	1.01973i
$411$	19.4512	+	16.8546i	0.959459	+	0.831376i
$412$	−1.40164	−	3.53694i	−0.0690539	−	0.174252i
$413$			5.48748i			0.270021i
$414$	15.6098	−	6.73089i	0.767181	−	0.330805i
$415$	−35.9253			−1.76350
$416$	4.53871	+	6.83392i	0.222529	+	0.335061i
$417$	−3.60916	+	4.16520i	−0.176741	+	0.203971i
$418$	4.16692	+	6.86324i	0.203811	+	0.335692i
$419$	−9.09133	−	1.30714i	−0.444141	−	0.0638578i	−0.0833834	−	0.996518i	$-0.526573\pi$
$419$	−9.09133	−	1.30714i	−0.444141	−	0.0638578i	−0.360757	+	0.932660i	$0.617482\pi$
$420$	72.5840	+	25.4062i	3.54174	+	1.23970i
$421$	7.70117	−	3.51700i	0.375332	−	0.171408i	−0.218812	−	0.975767i	$-0.570218\pi$
$421$	7.70117	−	3.51700i	0.375332	−	0.171408i	0.594144	+	0.804359i	$0.297491\pi$
$422$	−13.9354	+	3.70786i	−0.678363	+	0.180496i
$423$	4.13050	+	28.7282i	0.200832	+	1.39681i
$424$	−6.09053	+	27.3072i	−0.295782	+	1.32615i
$425$	4.47354	−	1.31355i	0.216999	−	0.0637165i
$426$	2.20815	−	12.9924i	0.106985	−	0.629483i
$427$	−35.5039	−	16.2141i	−1.71816	−	0.784655i
$428$	25.0098	+	24.0143i	1.20889	+	1.16078i
$429$	−7.22612	+	6.26147i	−0.348880	+	0.302306i
$430$	−0.0573748	+	2.24521i	−0.00276686	+	0.108273i
$431$	9.02696	−	5.80128i	0.434814	−	0.279438i	−0.304868	−	0.952395i	$-0.598612\pi$
$431$	9.02696	−	5.80128i	0.434814	−	0.279438i	0.739682	+	0.672957i	$0.234976\pi$
$432$	1.75202	−	4.28914i	0.0842943	−	0.206361i
$433$	9.21955	+	5.92504i	0.443063	+	0.284739i	0.743090	−	0.669191i	$-0.233359\pi$
$433$	9.21955	+	5.92504i	0.443063	+	0.284739i	−0.300027	+	0.953931i	$0.596996\pi$
$434$	−45.6475	+	19.4530i	−2.19115	+	0.933775i
$435$	−2.93713	+	10.0030i	−0.140825	+	0.479605i
$436$	15.2356	−	11.8954i	0.729651	−	0.569684i
$437$	8.79796	−	4.06324i	0.420863	−	0.194371i
$438$	6.63667	−	13.6016i	0.317112	−	0.649909i
$439$	−11.4045	−	3.34867i	−0.544308	−	0.159823i	−0.00199234	−	0.999998i	$-0.500634\pi$
$439$	−11.4045	−	3.34867i	−0.544308	−	0.159823i	−0.542316	+	0.840175i	$0.682452\pi$
$440$	−26.2068	−	14.4890i	−1.24936	−	0.690737i
$441$	−25.1116	−	16.1383i	−1.19579	−	0.768488i
$442$	−0.859818	−	0.584137i	−0.0408974	−	0.0277846i
$443$	1.20636	+	1.87713i	0.0573159	+	0.0891852i	0.868729	−	0.495288i	$-0.164938\pi$
$443$	1.20636	+	1.87713i	0.0573159	+	0.0891852i	−0.811413	+	0.584473i	$0.801301\pi$
$444$	−3.89969	+	7.49981i	−0.185071	+	0.355925i
$445$	−34.6198	+	29.9983i	−1.64114	+	1.42205i
$446$	−2.18698	+	6.80045i	−0.103557	+	0.322010i
$447$	−12.1283	+	26.5572i	−0.573647	+	1.25611i
$448$	26.5288	−	22.5043i	1.25337	−	1.06323i
$449$	−18.6315	+	5.47072i	−0.879277	+	0.258179i	−0.690056	−	0.723756i	$-0.742414\pi$
$449$	−18.6315	+	5.47072i	−0.879277	+	0.258179i	−0.189221	+	0.981935i	$0.560596\pi$
$450$	25.1804	−	20.7167i	1.18702	−	0.976597i
$451$	−20.7633	+	2.98531i	−0.977705	+	0.140573i
$452$	5.84490	−	29.7656i	0.274921	−	1.40005i
$453$	22.0114	−	10.0523i	1.03419	−	0.472298i
$454$	−0.532619	−	4.52172i	−0.0249971	−	0.212215i
$455$	−3.38193	+	23.5218i	−0.158547	+	1.10272i
$456$	−4.75273	+	12.5412i	−0.222567	+	0.587296i
$457$	−6.17617	+	7.12768i	−0.288909	+	0.333419i	−0.881588	−	0.472020i	$-0.843525\pi$
$457$	−6.17617	+	7.12768i	−0.288909	+	0.333419i	0.592679	+	0.805439i	$0.298070\pi$
$458$	−10.3041	+	11.2951i	−0.481478	+	0.527786i
$459$			0.587052i			0.0274012i
$460$	−20.9427	+	29.4573i	−0.976461	+	1.37345i
$461$			28.8547i			1.34390i	0.740598	+	0.671949i	$0.234543\pi$
$461$			28.8547i			1.34390i	−0.740598	+	0.671949i	$0.765457\pi$
$462$	29.9540	+	27.3258i	1.39359	+	1.27131i
$463$	20.7264	−	23.9195i	0.963236	−	1.11163i	−0.0304610	−	0.999536i	$-0.509698\pi$
$463$	20.7264	−	23.9195i	0.963236	−	1.11163i	0.993697	−	0.112098i	$-0.0357570\pi$
$464$	3.23051	+	3.43587i	0.149973	+	0.159506i
$465$	−10.1535	+	70.6188i	−0.470855	+	3.27487i
$466$	−36.2732	+	4.27266i	−1.68032	+	0.197927i
$467$	13.6582	−	6.23749i	0.632026	−	0.288637i	−0.0735275	−	0.997293i	$-0.523426\pi$
$467$	13.6582	−	6.23749i	0.632026	−	0.288637i	0.705554	+	0.708657i	$0.250698\pi$
$468$	−7.13351	−	1.40077i	−0.329746	−	0.0647504i
$469$	−6.70727	+	0.964360i	−0.309713	+	0.0445300i
$470$	−39.2065	−	47.6540i	−1.80846	−	2.19811i
$471$	29.4992	−	8.66175i	1.35925	−	0.399112i
$472$	3.14158	−	1.69410i	0.144603	−	0.0779771i
$473$	−0.491911	+	1.07713i	−0.0226181	+	0.0495267i
$474$	−33.1784	−	10.6700i	−1.52393	−	0.490088i
$475$	14.0485	−	12.1731i	0.644590	−	0.558541i
$476$	−2.03350	+	3.91079i	−0.0932053	+	0.179251i
$477$	−13.4039	−	20.8569i	−0.613722	−	0.954971i
$478$	−17.8466	+	26.2693i	−0.816285	+	1.20153i
$479$	−14.8705	−	9.55667i	−0.679449	−	0.436655i	0.154872	−	0.987935i	$-0.450503\pi$
$479$	−14.8705	−	9.55667i	−0.679449	−	0.436655i	−0.834321	+	0.551279i	$0.814140\pi$
$480$	−7.86312	−	49.3978i	−0.358901	−	2.25469i
$481$	−2.50631	−	0.735918i	−0.114278	−	0.0335550i
$482$	−16.7624	−	8.17894i	−0.763507	−	0.372540i
$483$	36.8475	−	32.2042i	1.67662	−	1.46534i
$484$	3.82268	+	4.89608i	0.173758	+	0.222549i
$485$	1.48533	−	5.05857i	0.0674453	−	0.229698i
$486$	11.3921	+	26.7322i	0.516756	+	1.21260i
$487$	1.20320	+	0.773252i	0.0545223	+	0.0350394i	0.567618	−	0.823292i	$-0.307865\pi$
$487$	1.20320	+	0.773252i	0.0545223	+	0.0350394i	−0.513096	+	0.858331i	$0.671501\pi$
$488$	1.67822	+	25.3316i	0.0759693	+	1.14671i
$489$	22.8173	−	14.6638i	1.03184	−	0.663120i
$490$	63.4461	+	1.62132i	2.86620	+	0.0732440i
$491$	25.7550	−	22.3168i	1.16231	−	1.00714i	0.162514	−	0.986706i	$-0.448040\pi$
$491$	25.7550	−	22.3168i	1.16231	−	1.00714i	0.999791	−	0.0204371i	$-0.00650577\pi$
$492$	−25.2741	−	24.2681i	−1.13944	−	1.09409i
$493$	−0.543556	−	0.248234i	−0.0244805	−	0.0111799i
$494$	−4.08576	−	0.694404i	−0.183827	−	0.0312427i
$495$	25.4610	−	7.47603i	1.14439	−	0.336023i
$496$	25.2292	+	20.1277i	1.13282	+	0.903759i
$497$	−2.45763	−	17.0932i	−0.110240	−	0.766734i
$498$	−8.13520	−	30.5748i	−0.364547	−	1.37009i
$499$	15.2152	−	6.94853i	0.681124	−	0.311059i	−0.0446396	−	0.999003i	$-0.514214\pi$
$499$	15.2152	−	6.94853i	0.681124	−	0.311059i	0.725763	+	0.687944i	$0.241487\pi$
$500$	−10.4553	+	29.8700i	−0.467573	+	1.33583i
$501$	−2.83829	−	0.408085i	−0.126805	−	0.0182319i
$502$	24.7800	−	15.0448i	1.10599	−	0.671483i
$503$	−12.3171	+	14.2147i	−0.549192	+	0.633801i	−0.960695	−	0.277608i	$-0.910459\pi$
$503$	−12.3171	+	14.2147i	−0.549192	+	0.633801i	0.411503	+	0.911408i	$0.365004\pi$
$504$	−2.36049	+	30.7368i	−0.105145	+	1.36912i
$505$	37.0510			1.64875
$506$	−16.2467	+	9.95883i	−0.722252	+	0.442724i
$507$			25.5701i			1.13561i
$508$	2.99119	+	7.54804i	0.132713	+	0.334890i
$509$	29.0005	+	25.1290i	1.28542	+	1.11383i	0.987227	+	0.159321i	$0.0509305\pi$
$509$	29.0005	+	25.1290i	1.28542	+	1.11383i	0.298196	+	0.954505i	$0.403615\pi$
$510$	3.28915	+	5.41749i	0.145646	+	0.239891i
$511$	2.82233	−	19.6297i	0.124852	−	0.868368i
$512$	−21.0737	−	8.24017i	−0.931333	−	0.364168i
$513$	0.972304	+	2.12905i	0.0429283	+	0.0939998i
$514$	−3.17097	−	11.9176i	−0.139866	−	0.525661i
$515$	−7.09515	+	1.02013i	−0.312649	+	0.0449522i
$516$	−1.92381	+	0.459592i	−0.0846909	+	0.0202324i
$517$	−9.16630	−	31.2176i	−0.403134	−	1.37295i
$518$	−1.85594	+	10.9201i	−0.0815455	+	0.479800i
$519$	−3.00552	+	6.58117i	−0.131928	+	0.288881i
$520$	14.5103	−	5.32552i	0.636320	−	0.233539i
$521$	−18.0677	−	20.8512i	−0.791558	−	0.913507i	0.206329	−	0.978483i	$-0.433848\pi$
$521$	−18.0677	−	20.8512i	−0.791558	−	0.913507i	−0.997887	+	0.0649758i	$0.979303\pi$
$522$	−4.17775	−	0.106760i	−0.182855	−	0.00467275i
$523$	9.70638	+	15.1034i	0.424430	+	0.660426i	0.985951	−	0.167036i	$-0.0534198\pi$
$523$	9.70638	+	15.1034i	0.424430	+	0.660426i	−0.561520	+	0.827463i	$0.689783\pi$
$524$	−13.2653	−	23.1628i	−0.579495	−	1.01187i
$525$	50.7499	−	78.9685i	2.21491	−	3.44647i
$526$	6.73555	−	2.87040i	0.293684	−	0.125155i
$527$	−3.92371	−	1.15211i	−0.170920	−	0.0501865i
$528$	6.39662	−	25.5847i	0.278377	−	1.11343i
$529$	9.73231	+	20.8394i	0.423144	+	0.906062i
$530$	47.3748	+	23.1157i	2.05783	+	1.00408i
$531$	−0.891080	+	3.03474i	−0.0386696	+	0.131696i
$532$	−0.897604	+	17.5512i	−0.0389161	+	0.760939i
$533$	5.85376	−	9.10863i	0.253555	−	0.394539i
$534$	−33.3700	−	22.6707i	−1.44406	−	0.981057i
$535$	54.9558	−	35.3179i	2.37594	−	1.52693i
$536$	2.62277	+	3.54219i	0.113286	+	0.152999i
$537$	−1.39814	−	1.61354i	−0.0603341	−	0.0696293i
$538$	−5.71065	−	1.83651i	−0.246203	−	0.0791775i
$539$	30.4382	+	13.9006i	1.31106	+	0.598743i
$540$	−7.09295	−	5.08835i	−0.305232	−	0.218968i
$541$	5.80666	+	19.7757i	0.249648	+	0.850222i	0.985003	+	0.172540i	$0.0551973\pi$
$541$	5.80666	+	19.7757i	0.249648	+	0.850222i	−0.735355	+	0.677682i	$0.762985\pi$
$542$	3.02045	−	2.48503i	0.129740	−	0.106741i
$543$	−8.42396	−	58.5899i	−0.361507	−	2.51433i
$544$	2.86671	−	0.0431634i	0.122909	−	0.00185062i
$545$	−15.1287	−	33.1272i	−0.648041	−	1.41901i
$546$	−20.7844	+	2.44822i	−0.889492	+	0.104774i
$547$	0.000226772	0	3.26049e-5i	9.69607e−6	0	1.39408e-6i	0.142320	−	0.989821i	$-0.454544\pi$
$547$	0.000226772	0	3.26049e-5i	9.69607e−6	0	1.39408e-6i	−0.142310	+	0.989822i	$0.545453\pi$
$548$	−2.00880	−	21.8443i	−0.0858115	−	0.933140i
$549$	−17.0018	−	14.7322i	−0.725620	−	0.628753i
$550$	−24.6348	+	27.0042i	−1.05043	+	1.15146i
$551$	−2.38244			−0.101495
$552$	−29.8125	−	11.1531i	−1.26890	−	0.474708i
$553$	−45.6688			−1.94203
$554$	−6.43699	+	7.05610i	−0.273482	+	0.299785i
$555$	12.0364	+	10.4296i	0.510916	+	0.442711i
$556$	4.67763	−	0.430154i	0.198376	−	0.0182426i
$557$	−17.2082	−	2.47416i	−0.729134	−	0.104834i	−0.232257	−	0.972654i	$-0.574611\pi$
$557$	−17.2082	−	2.47416i	−0.729134	−	0.104834i	−0.496877	+	0.867821i	$0.665520\pi$
$558$	−28.4033	+	3.34566i	−1.20241	+	0.141633i
$559$	−0.253906	−	0.555976i	−0.0107391	−	0.0235153i
$560$	−29.6258	−	58.4667i	−1.25192	−	2.47067i
$561$	0.475549	+	3.30751i	0.0200777	+	0.139643i
$562$	−16.6781	+	13.7216i	−0.703525	+	0.578813i
$563$	−4.06993	−	13.8609i	−0.171527	−	0.584167i	−0.999719	−	0.0237221i	$-0.992448\pi$
$563$	−4.06993	−	13.8609i	−0.171527	−	0.584167i	0.828192	−	0.560445i	$-0.189370\pi$
$564$	31.6784	−	44.1584i	1.33390	−	1.85940i
$565$	−51.9874	−	23.7418i	−2.18713	−	0.998827i
$566$	9.01174	+	2.89812i	0.378792	+	0.121817i
$567$	29.1522	+	33.6434i	1.22428	+	1.41289i
$568$	−9.02712	+	6.68400i	−0.378769	+	0.280454i
$569$	−12.3544	+	7.93970i	−0.517924	+	0.332849i	−0.773350	−	0.633979i	$-0.781421\pi$
$569$	−12.3544	+	7.93970i	−0.517924	+	0.332849i	0.255426	+	0.966828i	$0.417784\pi$
$570$	20.9014	+	14.1998i	0.875464	+	0.594766i
$571$	20.9913	−	32.6632i	0.878460	−	1.36691i	−0.0512764	−	0.998685i	$-0.516329\pi$
$571$	20.9913	−	32.6632i	0.878460	−	1.36691i	0.929736	−	0.368226i	$-0.120035\pi$
$572$	8.13873	+	0.416232i	0.340297	+	0.0174035i
$573$	−9.32710	+	31.7652i	−0.389645	+	1.32701i
$574$	−41.2637	−	20.1340i	−1.72232	−	0.840375i
$575$	29.0328	+	33.2188i	1.21075	+	1.38532i
$576$	18.3255	−	8.13769i	0.763564	−	0.339070i
$577$	40.0050	+	11.7465i	1.66543	+	0.489014i	0.972677	−	0.232161i	$-0.0745797\pi$
$577$	40.0050	+	11.7465i	1.66543	+	0.489014i	0.692752	+	0.721175i	$0.256398\pi$
$578$	21.7828	−	9.28291i	0.906047	−	0.386118i
$579$	21.7069	−	33.7766i	0.902109	−	1.40371i
$580$	7.71058	−	4.41582i	0.320165	−	0.183357i
$581$	−22.4140	−	34.8768i	−0.929888	−	1.44693i
$582$	4.64152	+	0.118611i	0.192397	+	0.00491658i
$583$	18.2002	+	21.0042i	0.753775	+	0.869903i
$584$	−12.1093	+	4.44431i	−0.501087	+	0.183907i
$585$	−5.68988	+	12.4591i	−0.235248	+	0.515120i
$586$	−2.04192	+	12.0143i	−0.0843509	+	0.496307i
$587$	−5.86972	−	19.9904i	−0.242269	−	0.825094i	−0.987409	−	0.158186i	$-0.949435\pi$
$587$	−5.86972	−	19.9904i	−0.242269	−	0.825094i	0.745140	−	0.666908i	$-0.232383\pi$
$588$	12.9874	+	54.3639i	0.535590	+	2.24193i
$589$	−16.1382	+	2.32033i	−0.664964	+	0.0956074i
$590$	−1.72914	−	6.49868i	−0.0711876	−	0.267546i
$591$	10.5940	+	23.1976i	0.435778	+	0.954221i
$592$	6.82470	−	2.30872i	0.280494	−	0.0948878i
$593$	−1.49188	+	10.3762i	−0.0612641	+	0.426101i	0.935989	+	0.352030i	$0.114508\pi$
$593$	−1.49188	+	10.3762i	−0.0612641	+	0.426101i	−0.997253	+	0.0740714i	$0.976401\pi$
$594$	−2.38854	−	3.93411i	−0.0980029	−	0.161418i
$595$	6.27639	+	5.43853i	0.257307	+	0.222958i
$596$	23.1333	−	9.16744i	0.947578	−	0.375513i
$597$			1.20701i			0.0493995i
$598$	1.60677	−	9.70389i	0.0657059	−	0.396821i
$599$	22.5473			0.921257			0.460629	−	0.887593i	$-0.347624\pi$
$599$	22.5473			0.921257			0.460629	+	0.887593i	$0.347624\pi$
$600$	−60.8770	−	4.67516i	−2.48529	−	0.190863i
$601$	−4.49088	+	5.18275i	−0.183187	+	0.211409i	−0.839914	−	0.542719i	$-0.817395\pi$
$601$	−4.49088	+	5.18275i	−0.183187	+	0.211409i	0.656727	+	0.754128i	$0.271940\pi$
$602$	−2.21548	+	1.34509i	−0.0902960	+	0.0548219i
$603$	−3.86592	−	0.555835i	−0.157432	−	0.0226354i
$604$	−19.4663	−	6.81368i	−0.792071	−	0.277245i
$605$	10.6457	−	4.86174i	0.432810	−	0.197658i
$606$	8.39011	+	31.5328i	0.340825	+	1.28093i
$607$	6.75226	+	46.9630i	0.274066	+	1.90617i	0.404196	+	0.914672i	$0.367551\pi$
$607$	6.75226	+	46.9630i	0.274066	+	1.90617i	−0.130130	+	0.991497i	$0.541540\pi$
$608$	10.3251	−	4.90452i	0.418740	−	0.198905i
$609$	−11.5435	+	3.38948i	−0.467767	+	0.137349i
$610$	47.1555	+	8.01442i	1.90927	+	0.324494i
$611$	15.2760	+	6.97631i	0.618001	+	0.282231i
$612$	−1.75964	+	1.83258i	−0.0711291	+	0.0740775i
$613$	4.41121	−	3.82233i	0.178167	−	0.154383i	−0.561212	−	0.827672i	$-0.689665\pi$
$613$	4.41121	−	3.82233i	0.178167	−	0.154383i	0.739379	+	0.673290i	$0.235119\pi$
$614$	29.8544	+	0.762909i	1.20482	+	0.0307885i
$615$	−55.5365	+	35.6912i	−2.23945	+	1.43921i
$616$	−2.28441	−	34.4817i	−0.0920416	−	1.38931i
$617$	10.9555	+	7.04068i	0.441052	+	0.283447i	0.742261	−	0.670111i	$-0.233754\pi$
$617$	10.9555	+	7.04068i	0.441052	+	0.283447i	−0.301208	+	0.953558i	$0.597390\pi$
$618$	−2.47487	−	5.80742i	−0.0995540	−	0.233609i
$619$	1.12593	−	3.83457i	0.0452550	−	0.154125i	−0.933766	−	0.357885i	$-0.883498\pi$
$619$	1.12593	−	3.83457i	0.0452550	−	0.154125i	0.979021	+	0.203760i	$0.0653163\pi$
$620$	47.9294	−	37.4215i	1.92489	−	1.50289i
$621$	−5.04312	+	2.32911i	−0.202373	+	0.0934640i
$622$	−18.8130	−	9.17949i	−0.754333	−	0.368064i
$623$	−50.7222	−	14.8934i	−2.03214	−	0.596691i
$624$	7.81819	+	11.1433i	0.312978	+	0.446088i
$625$	11.4660	+	7.36877i	0.458641	+	0.294751i
$626$	1.74509	−	2.56868i	0.0697478	−	0.102665i
$627$	7.20273	+	11.2077i	0.287649	+	0.447591i
$628$	−23.2488	−	12.0887i	−0.927727	−	0.482391i
$629$	−0.689903	+	0.597804i	−0.0275082	+	0.0238360i
$630$	55.2926	+	17.7818i	2.20291	+	0.708442i
$631$	8.05333	−	17.6343i	0.320598	−	0.702011i	−0.678882	−	0.734247i	$-0.737535\pi$
$631$	8.05333	−	17.6343i	0.320598	−	0.702011i	0.999480	+	0.0322357i	$0.0102627\pi$
$632$	14.0989	+	26.1454i	0.560824	+	1.04001i
$633$	−22.9579	+	6.74105i	−0.912495	+	0.267933i
$634$	−24.0996	−	29.2921i	−0.957116	−	1.16334i
$635$	15.1415	−	2.17701i	0.600871	−	0.0863922i
$636$	−8.94508	+	45.5535i	−0.354696	+	1.80631i
$637$	−15.7110	+	7.17500i	−0.622494	+	0.284284i
$638$	4.65261	−	0.548037i	0.184199	−	0.0216970i
$639$	1.41652	−	9.85211i	0.0560367	−	0.389743i
$640$	−24.3261	+	35.0106i	−0.961572	+	1.38392i
$641$	19.1166	−	22.0618i	0.755061	−	0.871387i	−0.239988	−	0.970776i	$-0.577143\pi$
$641$	19.1166	−	22.0618i	0.755061	−	0.871387i	0.995049	+	0.0993890i	$0.0316888\pi$
$642$	42.5024	+	38.7732i	1.67744	+	1.53026i
$643$			35.9063i			1.41601i	0.706210	+	0.708003i	$0.250404\pi$
$643$			35.9063i			1.41601i	−0.706210	+	0.708003i	$0.749596\pi$
$644$	−41.6638	−	1.95300i	−1.64178	−	0.0769588i
$645$			3.72663i			0.146736i
$646$	−0.976122	+	1.07000i	−0.0384050	+	0.0420988i
$647$	−14.9350	+	17.2359i	−0.587154	+	0.677612i	−0.969127	−	0.246561i	$-0.920699\pi$
$647$	−14.9350	+	17.2359i	−0.587154	+	0.677612i	0.381973	+	0.924174i	$0.375245\pi$
$648$	10.2610	−	27.0760i	0.403089	−	1.06365i
$649$	0.504585	−	3.50947i	0.0198067	−	0.137759i
$650$	−2.20713	−	18.7376i	−0.0865706	−	0.734950i
$651$	−74.8926	+	34.2023i	−2.93527	+	1.34049i
$652$	−22.6840	−	4.45432i	−0.888372	−	0.174445i
$653$	12.7167	−	1.82839i	0.497644	−	0.0715503i	0.111077	−	0.993812i	$-0.464570\pi$
$653$	12.7167	−	1.82839i	0.497644	−	0.0715503i	0.386567	+	0.922261i	$0.373661\pi$
$654$	24.7675	−	20.3770i	0.968486	−	0.796805i
$655$	−48.2538	+	14.1686i	−1.88543	+	0.553613i
$656$	1.21227	+	29.8393i	0.0473313	+	1.16503i
$657$	4.74839	−	10.3975i	0.185252	−	0.405646i
$658$	21.8021	−	67.7937i	0.849933	−	2.64288i
$659$	−14.5604	+	12.6166i	−0.567192	+	0.491474i	−0.890601	−	0.454785i	$-0.849716\pi$
$659$	−14.5604	+	12.6166i	−0.567192	+	0.491474i	0.323410	+	0.946259i	$0.395171\pi$
$660$	−44.0843	−	22.9226i	−1.71598	−	0.892260i
$661$	23.3876	+	36.3917i	0.909670	+	1.41547i	0.909605	+	0.415475i	$0.136385\pi$
$661$	23.3876	+	36.3917i	0.909670	+	1.41547i	6.58022e−5		1.00000i	$0.499979\pi$
$662$	12.7793	+	8.68189i	0.496681	+	0.337431i
$663$	−1.45097	−	0.932482i	−0.0563510	−	0.0362146i
$664$	−13.0473	+	23.5992i	−0.506334	+	0.915826i
$665$	31.7700	+	9.32852i	1.23199	+	0.361744i
$666$	−2.79964	+	5.73775i	−0.108484	+	0.222333i
$667$	−0.0240695	−	5.65432i	−0.000931976	−	0.218936i
$668$	1.50404	+	1.92637i	0.0581929	+	0.0745333i
$669$	−3.33936	+	11.3728i	−0.129107	+	0.439699i
$670$	7.63937	−	3.25557i	0.295135	−	0.125774i
$671$	21.2153	+	13.6342i	0.819007	+	0.526344i
$672$	43.0502	−	38.4531i	1.66070	−	1.48336i
$673$	10.0249	−	6.44259i	0.386430	−	0.248343i	−0.332973	−	0.942936i	$-0.608052\pi$
$673$	10.0249	−	6.44259i	0.386430	−	0.248343i	0.719403	+	0.694593i	$0.244415\pi$
$674$	−0.641878	+	25.1181i	−0.0247242	+	0.967514i
$675$	−8.05282	+	6.97781i	−0.309953	+	0.268576i
$676$	15.0944	−	15.7201i	0.580553	−	0.604618i
$677$	15.3516	+	7.01085i	0.590010	+	0.269449i	0.687967	−	0.725742i	$-0.258503\pi$
$677$	15.3516	+	7.01085i	0.590010	+	0.269449i	−0.0979566	+	0.995191i	$0.531231\pi$
$678$	8.43343	−	49.6209i	0.323884	−	1.90568i
$679$	5.83763	−	1.71408i	0.224028	−	0.0657805i
$680$	1.17590	−	5.27222i	0.0450939	−	0.202180i
$681$	−1.07514	−	7.47776i	−0.0411994	−	0.286548i
$682$	30.9822	−	8.24362i	1.18637	−	0.315664i
$683$	21.6742	−	9.89828i	0.829340	−	0.378747i	0.0449307	−	0.998990i	$-0.485693\pi$
$683$	21.6742	−	9.89828i	0.829340	−	0.378747i	0.784410	+	0.620243i	$0.212966\pi$
$684$	−3.34643	+	9.56056i	−0.127954	+	0.365557i
$685$	−40.9096	−	5.88191i	−1.56307	−	0.224736i
$686$	15.6694	+	25.8088i	0.598262	+	0.985384i
$687$	−16.6129	+	19.1724i	−0.633823	+	0.731471i
$688$	1.45403	+	0.853101i	0.0554343	+	0.0325242i
$689$	−14.3454			−0.546518
$690$	−33.4898	+	49.7495i	−1.27494	+	1.89393i
$691$		−	35.4576i		−	1.34887i	−0.738334	−	0.674435i	$-0.764387\pi$
$691$		−	35.4576i		−	1.34887i	0.738334	−	0.674435i	$-0.235613\pi$
$692$	5.73270	−	2.27179i	0.217925	−	0.0863607i
$693$	23.1431	+	20.0536i	0.879134	+	0.761774i
$694$	−19.0191	+	11.5472i	−0.721956	+	0.438325i
$695$	1.25952	−	8.76019i	0.0477765	−	0.332293i
$696$	5.50419	+	5.56225i	0.208636	+	0.210837i
$697$	−1.57190	−	3.44199i	−0.0595401	−	0.130375i
$698$	−4.16370	+	1.10786i	−0.157598	+	0.0419330i
$699$	−59.9864	+	8.62474i	−2.26889	+	0.326218i
$700$	−77.8164	+	18.5901i	−2.94118	+	0.702640i
$701$	6.13170	+	20.8826i	0.231591	+	0.788727i	0.990498	+	0.137528i	$0.0439156\pi$
$701$	6.13170	+	20.8826i	0.231591	+	0.788727i	−0.758907	+	0.651199i	$0.774266\pi$
$702$	2.34202	+	0.398043i	0.0883938	+	0.0150231i
$703$	−1.51194	+	3.31069i	−0.0570240	+	0.124865i
$704$	−19.0355	+	11.9530i	−0.717429	+	0.450497i
$705$	−67.0530	−	77.3833i	−2.52536	−	2.91443i
$706$	0.557657	−	21.8224i	0.0209877	−	0.821296i
$707$	23.1163	+	35.9697i	0.869378	+	1.35278i
$708$	5.13924	−	2.94322i	0.193144	−	0.110613i
$709$	24.1178	−	37.5281i	0.905764	−	1.40940i	−0.00658224	−	0.999978i	$-0.502095\pi$
$709$	24.1178	−	37.5281i	0.905764	−	1.40940i	0.912347	−	0.409419i	$-0.134268\pi$
$710$	8.29667	+	19.4686i	0.311369	+	0.730643i
$711$	−25.2562	−	7.41589i	−0.947181	−	0.278118i
$712$	7.13252	+	33.6364i	0.267303	+	1.26058i
$713$	−5.66995	−	38.2779i	−0.212341	−	1.43352i
$714$	−3.20726	+	6.57316i	−0.120029	+	0.245994i
$715$	4.32577	−	14.7322i	0.161774	−	0.550953i
$716$	−0.0929415	+	1.81732i	−0.00347339	+	0.0679163i
$717$	−28.4893	+	44.3302i	−1.06395	+	1.65554i
$718$	−23.2269	+	34.1887i	−0.866820	+	1.27591i
$719$	33.4839	−	21.5188i	1.24874	−	0.802516i	0.262038	−	0.965058i	$-0.415605\pi$
$719$	33.4839	−	21.5188i	1.24874	−	0.802516i	0.986702	+	0.162541i	$0.0519691\pi$
$720$	−6.88989	−	37.1446i	−0.256771	−	1.38430i
$721$	−5.41705	−	6.25161i	−0.201741	−	0.232822i
$722$	6.45843	−	20.0826i	0.240358	−	0.747396i
$723$	−28.1511	−	12.8562i	−1.04695	−	0.478126i
$724$	−29.4075	+	40.9929i	−1.09292	+	1.52349i
$725$	−3.05569	−	10.4067i	−0.113485	−	0.386496i
$726$	6.54835	+	7.95926i	0.243032	+	0.295396i
$727$	1.66744	+	11.5973i	0.0618421	+	0.430121i	0.997097	+	0.0761455i	$0.0242614\pi$
$727$	1.66744	+	11.5973i	0.0618421	+	0.430121i	−0.935255	+	0.353976i	$0.884830\pi$
$728$	14.2231	+	10.7642i	0.527145	+	0.398948i
$729$	7.27155	+	15.9225i	0.269317	+	0.589722i
$730$	2.84304	+	24.1363i	0.105226	+	0.893325i
$731$	−0.211429	−	0.0303990i	−0.00782000	−	0.00112435i
$732$	3.85747	+	41.9473i	0.142576	+	1.55042i
$733$	25.6740	+	22.2466i	0.948290	+	0.821698i	0.984092	−	0.177661i	$-0.0568529\pi$
$733$	25.6740	+	22.2466i	0.948290	+	0.821698i	−0.0358014	+	0.999359i	$0.511398\pi$
$734$	21.0088	+	19.1655i	0.775450	+	0.707412i
$735$	105.309			3.88438
$736$	11.7444	+	24.4555i	0.432904	+	0.901440i
$737$	4.37825			0.161275
$738$	−19.5506	−	17.8353i	−0.719669	−	0.656525i
$739$	−35.8290	−	31.0460i	−1.31799	−	1.14204i	−0.979582	−	0.201045i	$-0.935566\pi$
$739$	−35.8290	−	31.0460i	−1.31799	−	1.14204i	−0.338408	−	0.941000i	$-0.609888\pi$
$740$	−1.24304	−	13.5172i	−0.0456950	−	0.496901i
$741$	−6.80662	−	0.978645i	−0.250048	−	0.0359514i
$742$	7.11625	+	60.4141i	0.261246	+	2.21787i
$743$	7.71882	+	16.9019i	0.283176	+	0.620069i	0.996754	−	0.0805067i	$-0.0256538\pi$
$743$	7.71882	+	16.9019i	0.283176	+	0.620069i	−0.713578	+	0.700576i	$0.752927\pi$
$744$	42.7017	+	32.3170i	1.56552	+	1.18480i
$745$	−6.67215	−	46.4058i	−0.244448	−	1.70018i
$746$	−5.52517	−	6.71563i	−0.202291	−	0.245877i
$747$	−6.73215	−	22.9276i	−0.246316	−	0.838876i
$748$	1.66011	−	2.31413i	0.0606997	−	0.0846129i
$749$	68.5743	+	31.3168i	2.50565	+	1.14429i
$750$	−16.0764	+	49.9896i	−0.587025	+	1.82536i
$751$	17.8831	+	20.6382i	0.652562	+	0.753097i	0.981543	−	0.191240i	$-0.0612507\pi$
$751$	17.8831	+	20.6382i	0.652562	+	0.753097i	−0.328981	+	0.944336i	$0.606705\pi$
$752$	−45.5426	+	8.44764i	−1.66077	+	0.308054i
$753$	40.4657	−	26.0057i	1.47465	−	0.947701i
$754$	−1.35887	+	2.00018i	−0.0494871	+	0.0728423i
$755$	−21.0083	+	32.6895i	−0.764570	+	1.18969i
$756$	0.514520	−	10.0606i	0.0187129	−	0.365900i
$757$	−10.9495	+	37.2905i	−0.397966	+	1.35535i	0.480270	+	0.877120i	$0.340539\pi$
$757$	−10.9495	+	37.2905i	−0.397966	+	1.35535i	−0.878236	+	0.478227i	$0.841280\pi$
$758$	15.3413	−	31.4414i	0.557221	−	1.14200i
$759$	−26.5267	+	17.2077i	−0.962860	+	0.624600i
$760$	−4.46748	−	21.0682i	−0.162052	−	0.764225i
$761$	−20.5414	−	6.03149i	−0.744624	−	0.218641i	−0.112654	−	0.993634i	$-0.535935\pi$
$761$	−20.5414	−	6.03149i	−0.744624	−	0.218641i	−0.631970	+	0.774993i	$0.717753\pi$
$762$	5.28153	+	12.3934i	0.191330	+	0.448965i
$763$	22.7215	−	35.3553i	0.822573	−	1.27995i
$764$	24.4856	−	14.0228i	0.885857	−	0.507327i
$765$	2.58790	+	4.02685i	0.0935657	+	0.145591i
$766$	0.396601	−	15.5199i	0.0143298	−	0.560756i
$767$	1.19845	+	1.38309i	0.0432735	+	0.0499403i
$768$	−35.3049	−	12.7750i	−1.27396	−	0.460978i
$769$	20.0017	−	43.7976i	0.721280	−	1.57938i	−0.0908222	−	0.995867i	$-0.528950\pi$
$769$	20.0017	−	43.7976i	0.721280	−	1.57938i	0.812102	−	0.583515i	$-0.198323\pi$
$770$	−64.1888	−	10.9093i	−2.31320	−	0.393145i
$771$	−5.76496	−	19.6337i	−0.207620	−	0.707089i
$772$	−33.2839	+	7.95141i	−1.19791	+	0.286178i
$773$	−19.2235	+	2.76392i	−0.691421	+	0.0994113i	−0.479063	−	0.877781i	$-0.659023\pi$
$773$	−19.2235	+	2.76392i	−0.691421	+	0.0994113i	−0.212358	+	0.977192i	$0.568114\pi$
$774$	−1.44365	+	0.384119i	−0.0518908	+	0.0138069i
$775$	−30.8341	−	67.5173i	−1.10759	−	2.42529i
$776$	−2.78351	−	2.81287i	−0.0999222	−	0.100976i
$777$	−2.61564	+	18.1922i	−0.0938355	+	0.652640i
$778$	10.4962	−	6.37259i	0.376305	−	0.228468i
$779$	−11.4016	−	9.87953i	−0.408504	−	0.353971i
$780$	23.8430	−	9.44868i	0.853717	−	0.338317i
$781$			11.1578i			0.399256i
$782$	−2.54934	−	2.30585i	−0.0911642	−	0.0824571i
$783$	1.36565			0.0488043
$784$	24.1073	−	41.0886i	0.860976	−	1.46745i
$785$	−32.3308	+	37.3117i	−1.15394	+	1.33171i
$786$	−22.9853	−	37.8587i	−0.819860	−	1.35037i
$787$	20.2238	+	2.90775i	0.720902	+	0.103650i	0.492994	−	0.870033i	$-0.335902\pi$
$787$	20.2238	+	2.90775i	0.720902	+	0.103650i	0.227908	+	0.973683i	$0.426812\pi$
$788$	7.18085	−	20.5153i	0.255807	−	0.730826i
$789$	11.0508	−	5.04674i	0.393420	−	0.179669i
$790$	54.0844	−	14.3905i	1.92424	−	0.511992i
$791$	−9.38624	−	65.2828i	−0.333736	−	2.32119i
$792$	4.33594	−	19.4404i	0.154071	−	0.690784i
$793$	−12.4897	+	3.66730i	−0.443521	+	0.130230i
$794$	4.83485	−	28.4475i	0.171582	−	1.00956i
$795$	79.5619	+	36.3347i	2.82177	+	1.28866i
$796$	0.712513	−	0.742048i	0.0252544	−	0.0263012i
$797$	−12.8296	+	11.1169i	−0.454447	+	0.393781i	−0.851785	−	0.523892i	$-0.824480\pi$
$797$	−12.8296	+	11.1169i	−0.454447	+	0.393781i	0.397338	+	0.917672i	$0.369934\pi$
$798$	−0.744929	+	29.1508i	−0.0263702	+	1.03193i
$799$	4.93729	−	3.17300i	0.174669	−	0.112253i
$800$	34.6663	+	38.8107i	1.22564	+	1.37217i
$801$	−25.6324	−	16.4730i	−0.905678	−	0.582044i
$802$	5.36353	−	2.28571i	0.189393	−	0.0807111i
$803$	−3.60999	+	12.2945i	−0.127394	+	0.433863i
$804$	4.50062	+	5.76438i	0.158725	+	0.203294i
$805$	−21.8187	+	75.4951i	−0.769008	+	2.66085i
$806$	−7.25670	+	14.8723i	−0.255606	+	0.523855i
$807$	−9.55029	−	2.80422i	−0.336186	−	0.0987131i
$808$	13.4561	−	24.3386i	0.473386	−	0.856230i
$809$	−9.55545	−	6.14091i	−0.335952	−	0.215903i	0.361778	−	0.932264i	$-0.382170\pi$
$809$	−9.55545	−	6.14091i	−0.335952	−	0.215903i	−0.697730	+	0.716361i	$0.745806\pi$
$810$	−45.1254	−	30.6570i	−1.58555	−	1.07718i
$811$	12.1494	+	18.9048i	0.426622	+	0.663837i	0.986317	−	0.164862i	$-0.0527179\pi$
$811$	12.1494	+	18.9048i	0.426622	+	0.663837i	−0.559695	+	0.828699i	$0.689082\pi$
$812$	9.09761	+	4.73050i	0.319264	+	0.166008i
$813$	4.90479	−	4.25003i	0.172019	−	0.149055i
$814$	2.19108	−	6.81317i	0.0767972	−	0.238802i
$815$	−18.0933	+	39.6189i	−0.633782	+	1.38779i
$816$	4.75328	−	0.193110i	0.166398	−	0.00676021i
$817$	−0.817135	+	0.239932i	−0.0285879	+	0.00839417i
$818$	−11.2316	+	9.24060i	−0.392703	+	0.323090i
$819$	−15.6454	+	2.24947i	−0.546695	+	0.0786029i
$820$	55.2119	+	10.8417i	1.92808	+	0.378607i
$821$	−1.79090	+	0.817876i	−0.0625028	+	0.0285441i	−0.446421	−	0.894823i	$-0.647302\pi$
$821$	−1.79090	+	0.817876i	−0.0625028	+	0.0285441i	0.383918	+	0.923367i	$0.374574\pi$
$822$	−4.25799	−	36.1486i	−0.148514	−	1.26083i
$823$	0.839493	−	5.83880i	0.0292629	−	0.203528i	−0.969945	−	0.243325i	$-0.921762\pi$
$823$	0.839493	−	5.83880i	0.0292629	−	0.203528i	0.999208	+	0.0397968i	$0.0126711\pi$
$824$	−1.90669	+	5.03126i	−0.0664227	+	0.175272i
$825$	−39.7180	+	45.8370i	−1.38280	+	1.59584i
$826$	5.23019	−	5.73323i	0.181982	−	0.199485i
$827$		−	44.5253i		−	1.54830i	−0.633003	−	0.774149i	$-0.718178\pi$
$827$		−	44.5253i		−	1.54830i	0.633003	−	0.774149i	$-0.281822\pi$
$828$	−22.7242	−	7.84561i	−0.789720	−	0.272654i
$829$		−	49.1041i		−	1.70546i	−0.522354	−	0.852729i	$-0.674946\pi$
$829$		−	49.1041i		−	1.70546i	0.522354	−	0.852729i	$-0.325054\pi$
$830$	37.5342	+	34.2409i	1.30283	+	1.18852i
$831$	−10.3782	+	11.9770i	−0.360014	+	0.415479i
$832$	1.77154	−	11.4659i	0.0614169	−	0.397508i
$833$	−0.859028	+	5.97467i	−0.0297636	+	0.207010i
$834$	7.74070	−	0.911786i	0.268039	−	0.0315726i
$835$	4.18856	−	1.91285i	0.144951	−	0.0661969i
$836$	2.18792	−	11.1422i	0.0756708	−	0.385359i
$837$	9.25067	−	1.33004i	0.319750	−	0.0459731i
$838$	8.25263	+	10.0307i	0.285082	+	0.346506i
$839$	−25.6433	+	7.52955i	−0.885304	+	0.259949i	−0.692612	−	0.721310i	$-0.743540\pi$
$839$	−25.6433	+	7.52955i	−0.885304	+	0.259949i	−0.192692	+	0.981259i	$0.561722\pi$
$840$	−51.6196	−	95.7249i	−1.78105	−	3.30282i
$841$	11.4696	−	25.1149i	0.395503	−	0.866030i
$842$	−11.3982	−	3.66558i	−0.392807	−	0.126324i
$843$	−27.0830	+	23.4675i	−0.932786	+	0.808264i
$844$	18.0935	+	9.40808i	0.622803	+	0.323840i
$845$	−22.1994	−	34.5429i	−0.763681	−	1.18831i
$846$	23.0658	−	33.9516i	0.793019	−	1.16728i
$847$	11.3618	+	7.30176i	0.390395	+	0.250891i
$848$	32.3901	−	22.7251i	1.11228	−	0.780384i
$849$	15.0709	+	4.42522i	0.517233	+	0.151873i
$850$	−5.92584	−	2.89142i	−0.203255	−	0.0991748i
$851$	−7.87265	−	3.55490i	−0.269871	−	0.121860i
$852$	−14.6903	+	11.4696i	−0.503280	+	0.392943i
$853$	15.9516	−	54.3261i	0.546172	−	1.86009i	0.0372009	−	0.999308i	$-0.488156\pi$
$853$	15.9516	−	54.3261i	0.546172	−	1.86009i	0.508971	−	0.860784i	$-0.330026\pi$
$854$	21.6400	+	50.7795i	0.740507	+	1.73764i
$855$	16.0550	+	10.3179i	0.549068	+	0.352864i
$856$	−3.24140	−	48.9269i	−0.110789	−	1.67229i
$857$	−16.5433	+	10.6317i	−0.565108	+	0.363173i	−0.791788	−	0.610797i	$-0.790849\pi$
$857$	−16.5433	+	10.6317i	−0.565108	+	0.363173i	0.226680	+	0.973969i	$0.427213\pi$
$858$	13.5176	+	0.345434i	0.461484	+	0.0117929i
$859$	−11.1325	+	9.64636i	−0.379836	+	0.329129i	−0.823764	−	0.566933i	$-0.808130\pi$
$859$	−11.1325	+	9.64636i	−0.379836	+	0.329129i	0.443928	+	0.896062i	$0.353584\pi$
$860$	2.19988	−	2.29107i	0.0750153	−	0.0781249i
$861$	−69.2990	−	31.6478i	−2.36170	−	1.07855i
$862$	−14.9605	−	2.54264i	−0.509557	−	0.0866028i
$863$	−19.7261	+	5.79210i	−0.671483	+	0.197165i	−0.599663	−	0.800252i	$-0.704699\pi$
$863$	−19.7261	+	5.79210i	−0.671483	+	0.197165i	−0.0718198	+	0.997418i	$0.522881\pi$
$864$	−5.91852	+	2.81134i	−0.201352	+	0.0956439i
$865$	−1.65343	−	11.4999i	−0.0562184	−	0.391008i
$866$	−3.98519	−	14.9777i	−0.135422	−	0.508962i
$867$	35.7385	−	16.3212i	1.21374	−	0.554297i
$868$	66.2328	+	23.1831i	2.24809	+	0.786886i
$869$	29.2071	+	4.19934i	0.990782	+	0.142453i
$870$	12.6026	−	7.65151i	0.427269	−	0.259410i
$871$	−1.47991	+	1.70791i	−0.0501450	+	0.0578704i
$872$	−27.2555	−	2.09314i	−0.922987	−	0.0708825i
$873$	3.50672			0.118685
$874$	−13.0647	−	4.14025i	−0.441920	−	0.140046i
$875$			68.8088i			2.32616i
$876$	−19.8978	+	7.88522i	−0.672283	+	0.266417i
$877$	−41.8601	−	36.2720i	−1.41352	−	1.22482i	−0.938700	−	0.344734i	$-0.887969\pi$
$877$	−41.8601	−	36.2720i	−1.41352	−	1.22482i	−0.474816	−	0.880085i	$-0.657485\pi$
$878$	8.72360	+	14.3684i	0.294407	+	0.484912i
$879$	−2.87774	+	20.0151i	−0.0970637	+	0.675093i
$880$	13.5708	+	40.1160i	0.457471	+	1.35231i
$881$	10.0822	+	22.0770i	0.339679	+	0.743792i	0.999974	−	0.00721360i	$-0.00229618\pi$
$881$	10.0822	+	22.0770i	0.339679	+	0.743792i	−0.660295	+	0.751006i	$0.729569\pi$
$882$	10.8546	+	40.7952i	0.365494	+	1.37365i
$883$	−40.5406	+	5.82886i	−1.36430	+	0.196157i	−0.785272	−	0.619151i	$-0.787477\pi$
$883$	−40.5406	+	5.82886i	−1.36430	+	0.196157i	−0.579028	+	0.815308i	$0.696568\pi$
$884$	0.341575	+	1.42980i	0.0114884	+	0.0480894i
$885$	−3.14365	−	10.7063i	−0.105673	−	0.359888i
$886$	0.528736	−	3.11100i	0.0177632	−	0.104516i
$887$	1.02700	−	2.24881i	0.0344832	−	0.0755076i	−0.891607	−	0.452811i	$-0.850421\pi$
$887$	1.02700	−	2.24881i	0.0344832	−	0.0755076i	0.926090	+	0.377303i	$0.123149\pi$
$888$	11.2225	−	4.11884i	0.376603	−	0.138219i
$889$	11.5603	+	13.3413i	0.387720	+	0.447453i
$890$	64.7620	+	1.65495i	2.17083	+	0.0554741i
$891$	−15.5504	−	24.1970i	−0.520959	−	0.810629i
$892$	8.76652	−	5.02055i	0.293525	−	0.168101i
$893$	12.6507	−	19.6848i	0.423339	−	0.658728i
$894$	37.9834	−	16.1869i	1.27036	−	0.541371i
$895$	3.28959	+	0.965912i	0.109959	+	0.0322869i
$896$	−49.1660	−	1.77281i	−1.64252	−	0.0592253i
$897$	2.25388	−	16.1643i	0.0752550	−	0.539709i
$898$	24.6802	+	12.0423i	0.823587	+	0.401856i
$899$	−2.68013	+	9.12768i	−0.0893873	+	0.304425i
$900$	−46.0535	−	2.35527i	−1.53512	−	0.0785092i
$901$	−2.71045	+	4.21753i	−0.0902980	+	0.140506i
$902$	24.5385	+	16.6708i	0.817043	+	0.555076i
$903$	−3.61787	+	2.32506i	−0.120395	+	0.0773732i
$904$	−34.4766	+	25.5277i	−1.14668	+	0.849040i
$905$	62.2464	+	71.8361i	2.06914	+	2.38791i
$906$	−32.5782	−	10.4769i	−1.08234	−	0.348073i
$907$	−1.83239	−	0.836822i	−0.0608433	−	0.0277862i	0.384761	−	0.923016i	$-0.374284\pi$
$907$	−1.83239	−	0.836822i	−0.0608433	−	0.0277862i	−0.445604	+	0.895230i	$0.647011\pi$
$908$	−3.75325	+	5.23187i	−0.124556	+	0.173626i
$909$	6.94309	+	23.6460i	0.230288	+	0.784289i
$910$	25.9524	−	21.3519i	0.860313	−	0.707808i
$911$	6.52745	+	45.3994i	0.216264	+	1.50415i	0.751662	+	0.659549i	$0.229253\pi$
$911$	6.52745	+	45.3994i	0.216264	+	1.50415i	−0.535398	+	0.844600i	$0.679838\pi$
$912$	16.9188	−	8.57296i	0.560237	−	0.283879i
$913$	11.1277	+	24.3662i	0.368272	+	0.806402i
$914$	13.2462	−	1.56029i	0.438147	−	0.0516098i
$915$	78.5582	+	11.2950i	2.59705	+	0.373400i
$916$	21.5311	−	1.98000i	0.711406	−	0.0654209i
$917$	−43.8608	−	38.0056i	−1.44841	−	1.25506i
$918$	0.559527	−	0.613342i	0.0184672	−	0.0202433i
$919$	20.3140			0.670096			0.335048	−	0.942201i	$-0.391247\pi$
$919$	20.3140			0.670096			0.335048	+	0.942201i	$0.391247\pi$
$920$	49.9568	−	10.8157i	1.64703	−	0.356582i
$921$	49.5528			1.63282
$922$	27.5018	−	30.1469i	0.905725	−	0.992837i
$923$	−4.35253	−	3.77149i	−0.143265	−	0.124140i
$924$	−5.25084	−	57.0992i	−0.172740	−	1.87843i
$925$	−16.4006	−	2.35805i	−0.539249	−	0.0775323i
$926$	−44.4526	+	5.23612i	−1.46080	+	0.172070i
$927$	−1.98063	−	4.33697i	−0.0650523	−	0.142445i
$928$	−0.100410	−	6.66878i	−0.00329613	−	0.218913i
$929$	−0.277648	−	1.93108i	−0.00910934	−	0.0633568i	0.984760	−	0.173920i	$-0.0556435\pi$
$929$	−0.277648	−	1.93108i	−0.00910934	−	0.0633568i	−0.993869	+	0.110564i	$0.964734\pi$
$930$	77.9159	−	64.1040i	2.55496	−	2.10205i
$931$	6.78012	+	23.0910i	0.222210	+	0.756776i
$932$	41.9699	+	30.1085i	1.37477	+	0.986235i
$933$	−31.5949	−	14.4289i	−1.03437	−	0.472381i
$934$	−20.2149	−	6.50099i	−0.661452	−	0.212719i
$935$	−3.51393	−	4.05529i	−0.114918	−	0.132622i
$936$	6.11788	+	8.26254i	0.199969	+	0.270070i
$937$	−41.5535	+	26.7048i	−1.35749	+	0.872408i	−0.998150	−	0.0607977i	$-0.980636\pi$
$937$	−41.5535	+	26.7048i	−1.35749	+	0.872408i	−0.359343	+	0.933206i	$0.616999\pi$
$938$	7.92680	+	5.38525i	0.258819	+	0.175835i
$939$	2.78576	−	4.33472i	0.0909098	−	0.141458i
$940$	−4.45736	+	87.1563i	−0.145383	+	2.84273i
$941$	−0.942988	+	3.21152i	−0.0307405	+	0.104693i	−0.973434	−	0.228967i	$-0.926465\pi$
$941$	−0.942988	+	3.21152i	−0.0307405	+	0.104693i	0.942694	+	0.333659i	$0.108284\pi$
$942$	−39.0759	−	19.0665i	−1.27316	−	0.621219i
$943$	23.3322	−	27.1596i	0.759802	−	0.884437i
$944$	−4.89694	−	1.22432i	−0.159382	−	0.0398482i
$945$	−18.2110	−	5.34724i	−0.592405	−	0.173946i
$946$	1.54057	−	0.656525i	0.0500883	−	0.0213455i
$947$	−32.2646	+	50.2048i	−1.04846	+	1.63144i	−0.318532	+	0.947912i	$0.603190\pi$
$947$	−32.2646	+	50.2048i	−1.04846	+	1.63144i	−0.729928	+	0.683524i	$0.760447\pi$
$948$	24.4945	+	42.7706i	0.795546	+	1.38912i
$949$	−3.57573	−	5.56394i	−0.116073	−	0.180613i
$950$	−26.2800	−	0.671570i	−0.852637	−	0.0217886i
$951$	−41.2164	−	47.5663i	−1.33653	−	1.54244i
$952$	5.85200	−	2.14778i	0.189664	−	0.0696098i
$953$	−9.93661	+	21.7581i	−0.321878	+	0.704815i	−0.999533	−	0.0305653i	$-0.990269\pi$
$953$	−9.93661	+	21.7581i	−0.321878	+	0.704815i	0.677654	+	0.735380i	$0.262997\pi$
$954$	−5.87480	+	34.5664i	−0.190204	+	1.11913i
$955$	−14.9777	−	51.0094i	−0.484667	−	1.65063i
$956$	43.6834	−	10.4358i	1.41282	−	0.337519i
$957$	7.69422	−	1.10626i	0.248719	−	0.0357604i
$958$	6.42783	+	24.1579i	0.207674	+	0.780506i
$959$	−19.8134	−	43.3854i	−0.639809	−	1.40099i
$960$	−38.8664	+	59.1044i	−1.25441	+	1.90759i
$961$	−4.85324	+	33.7550i	−0.156556	+	1.08887i
$962$	1.91713	+	3.15767i	0.0618109	+	0.101807i
$963$	32.8383	+	28.4545i	1.05820	+	0.916934i
$964$	9.71763	+	24.5217i	0.312984	+	0.789791i
$965$			64.4746i			2.07551i
$966$	−69.1920	−	1.47346i	−2.22622	−	0.0474077i
$967$	11.7429			0.377627			0.188813	−	0.982013i	$-0.439536\pi$
$967$	11.7429			0.377627			0.188813	+	0.982013i	$0.439536\pi$
$968$	0.672649	−	8.75880i	0.0216197	−	0.281519i
$969$	−1.57377	+	1.81623i	−0.0505568	+	0.0583457i
$970$	−6.37324	+	3.86942i	−0.204632	+	0.124240i
$971$	5.97258	+	0.858727i	0.191669	+	0.0275579i	0.237481	−	0.971392i	$-0.423678\pi$
$971$	5.97258	+	0.858727i	0.191669	+	0.0275579i	−0.0458117	+	0.998950i	$0.514587\pi$
$972$	13.5765	−	38.7873i	0.435467	−	1.24410i
$973$	9.29034	−	4.24276i	0.297835	−	0.136017i
$974$	−0.520090	−	1.95467i	−0.0166648	−	0.0626317i
$975$	−4.45528	−	30.9872i	−0.142683	−	0.992384i
$976$	22.3905	−	28.0656i	0.716704	−	0.898358i
$977$	20.1171	−	5.90692i	0.643604	−	0.188979i	0.0563872	−	0.998409i	$-0.482042\pi$
$977$	20.1171	−	5.90692i	0.643604	−	0.188979i	0.587217	+	0.809430i	$0.300224\pi$
$978$	−37.8155	−	6.42700i	−1.20920	−	0.205513i
$979$	31.0695	+	14.1890i	0.992985	+	0.453481i
$980$	−64.7422	−	62.1653i	−2.06811	−	1.98580i
$981$	18.3068	−	15.8629i	0.584491	−	0.506464i
$982$	−48.1788	−	1.23118i	−1.53745	−	0.0392885i
$983$	24.0028	−	15.4257i	0.765572	−	0.492003i	−0.0986451	−	0.995123i	$-0.531451\pi$
$983$	24.0028	−	15.4257i	0.765572	−	0.492003i	0.864217	+	0.503120i	$0.167814\pi$
$984$	3.27566	+	49.4440i	0.104424	+	1.57622i
$985$	−34.4511	−	22.1404i	−1.09770	−	0.705451i
$986$	0.331304	+	0.777422i	0.0105509	+	0.0247582i
$987$	33.2902	−	113.376i	1.05964	−	3.60879i
$988$	3.60689	+	4.61970i	0.114750	+	0.146972i
$989$	−0.577695	−	1.93691i	−0.0183696	−	0.0615901i
$990$	−33.7268	−	16.4564i	−1.07191	−	0.523020i
$991$	−25.4809	−	7.48187i	−0.809427	−	0.237669i	−0.149270	−	0.988797i	$-0.547692\pi$
$991$	−25.4809	−	7.48187i	−0.809427	−	0.237669i	−0.660157	+	0.751127i	$0.729510\pi$
$992$	−7.17508	−	45.0753i	−0.227809	−	1.43114i
$993$	21.5654	+	13.8593i	0.684358	+	0.439810i
$994$	−13.7241	+	20.2011i	−0.435301	+	0.640739i
$995$	−1.04790	−	1.63056i	−0.0332205	−	0.0516921i
$996$	−20.6417	+	39.6978i	−0.654058	+	1.25787i
$997$	31.6297	−	27.4073i	1.00172	−	0.867999i	0.0104670	−	0.999945i	$-0.496668\pi$
$997$	31.6297	−	27.4073i	1.00172	−	0.867999i	0.991257	+	0.131947i	$0.0421227\pi$
$998$	−22.5193	−	7.24207i	−0.712836	−	0.229244i
$999$	0.866668	−	1.89774i	0.0274202	−	0.0600418i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.p.a.133.7	yes	220
4.3	odd	2		736.2.x.a.593.20		220
8.3	odd	2		736.2.x.a.593.3		220
8.5	even	2	inner	184.2.p.a.133.3	yes	220
23.9	even	11	inner	184.2.p.a.101.3	✓	220
92.55	odd	22		736.2.x.a.561.3		220
184.101	even	22	inner	184.2.p.a.101.7	yes	220
184.147	odd	22		736.2.x.a.561.20		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.p.a.101.3	✓	220	23.9	even	11	inner
184.2.p.a.101.7	yes	220	184.101	even	22	inner
184.2.p.a.133.3	yes	220	8.5	even	2	inner
184.2.p.a.133.7	yes	220	1.1	even	1	trivial
736.2.x.a.561.3		220	92.55	odd	22
736.2.x.a.561.20		220	184.147	odd	22
736.2.x.a.593.3		220	8.3	odd	2
736.2.x.a.593.20		220	4.3	odd	2

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:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.p (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.04478 - 0.953114i) q^{2} +(-1.77342 - 1.53668i) q^{3} +(0.183147 + 1.99160i) q^{4} +(3.72983 + 0.536269i) q^{5} +(0.388212 + 3.29577i) q^{6} +(1.80644 + 3.95556i) q^{7} +(1.70687 - 2.25535i) q^{8} +(0.356696 + 2.48088i) q^{9} +O(q^{10})\)	\(q+(-1.04478 - 0.953114i) q^{2} +(-1.77342 - 1.53668i) q^{3} +(0.183147 + 1.99160i) q^{4} +(3.72983 + 0.536269i) q^{5} +(0.388212 + 3.29577i) q^{6} +(1.80644 + 3.95556i) q^{7} +(1.70687 - 2.25535i) q^{8} +(0.356696 + 2.48088i) q^{9} +(-3.38574 - 4.11524i) q^{10} +(-0.791572 - 2.69585i) q^{11} +(2.73564 - 3.81337i) q^{12} +(1.31919 + 0.602452i) q^{13} +(1.88275 - 5.85445i) q^{14} +(-5.79048 - 6.68257i) q^{15} +(-3.93291 + 0.729511i) q^{16} +(0.426368 - 0.274010i) q^{17} +(1.99189 - 2.93195i) q^{18} +(1.09247 - 1.69992i) q^{19} +(-0.384923 + 7.52654i) q^{20} +(2.87483 - 9.79078i) q^{21} +(-1.74243 + 3.57104i) q^{22} +(4.04551 + 2.57562i) q^{23} +(-6.49274 + 1.37677i) q^{24} +(8.82660 + 2.59172i) q^{25} +(-0.804059 - 1.88677i) q^{26} +(-0.626221 + 0.974418i) q^{27} +(-7.54703 + 4.32215i) q^{28} +(-0.637426 - 0.991854i) q^{29} +(-0.319451 + 12.5008i) q^{30} +(-5.28380 - 6.09783i) q^{31} +(4.80435 + 2.98633i) q^{32} +(-2.73886 + 5.99726i) q^{33} +(-0.706626 - 0.120096i) q^{34} +(4.61648 + 15.7223i) q^{35} +(-4.87558 + 1.16476i) q^{36} +(-1.78283 + 0.256332i) q^{37} +(-2.76161 + 0.734798i) q^{38} +(-1.41370 - 3.09556i) q^{39} +(7.57581 - 7.49673i) q^{40} +(1.06252 - 7.38997i) q^{41} +(-12.3353 + 7.48920i) q^{42} +(-0.318514 - 0.275994i) q^{43} +(5.22407 - 2.07023i) q^{44} +9.44454i q^{45} +(-1.77182 - 6.54680i) q^{46} +11.5799 q^{47} +(8.09573 + 4.74989i) q^{48} +(-7.79917 + 9.00072i) q^{49} +(-6.75168 - 11.1205i) q^{50} +(-1.17719 - 0.169255i) q^{51} +(-0.958236 + 2.73762i) q^{52} +(-8.99787 + 4.10919i) q^{53} +(1.58300 - 0.421197i) q^{54} +(-1.50673 - 10.4796i) q^{55} +(12.0045 + 2.67746i) q^{56} +(-4.54963 + 1.33589i) q^{57} +(-0.279378 + 1.64381i) q^{58} +(1.14788 + 0.524220i) q^{59} +(12.2485 - 12.7562i) q^{60} +(-6.78339 + 5.87784i) q^{61} +(-0.291498 + 11.4070i) q^{62} +(-9.16890 + 5.89249i) q^{63} +(-2.17319 - 7.69917i) q^{64} +(4.59726 + 2.95448i) q^{65} +(8.57758 - 3.65540i) q^{66} +(-0.439020 + 1.49516i) q^{67} +(0.623806 + 0.798969i) q^{68} +(-3.21648 - 10.7843i) q^{69} +(10.1619 - 20.8264i) q^{70} +(-3.81036 - 1.11882i) q^{71} +(6.20408 + 3.43006i) q^{72} +(-3.83656 - 2.46561i) q^{73} +(2.10698 + 1.43142i) q^{74} +(-11.6706 - 18.1598i) q^{75} +(3.58564 + 1.86443i) q^{76} +(9.23365 - 8.00100i) q^{77} +(-1.47342 + 4.58161i) q^{78} +(-4.36275 + 9.55308i) q^{79} +(-15.0603 + 0.611852i) q^{80} +(9.82250 - 2.88415i) q^{81} +(-8.15359 + 6.70823i) q^{82} +(-9.43680 + 1.35681i) q^{83} +(20.0258 + 3.93235i) q^{84} +(1.73723 - 0.793364i) q^{85} +(0.0697246 + 0.591934i) q^{86} +(-0.393735 + 2.73849i) q^{87} +(-7.43118 - 2.81619i) q^{88} +(-7.96093 + 9.18740i) q^{89} +(9.00172 - 9.86750i) q^{90} +6.30641i q^{91} +(-4.38868 + 8.52874i) q^{92} +18.9335i q^{93} +(-12.0985 - 11.0369i) q^{94} +(4.98635 - 5.75455i) q^{95} +(-3.93110 - 12.6788i) q^{96} +(0.199115 - 1.38487i) q^{97} +(16.7272 - 1.97031i) q^{98} +(6.40571 - 2.92539i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8}+O(q^{10}) \) 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8	\( 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26} - 17 q^{28} - 37 q^{30} - 34 q^{31} - 11 q^{32} - 30 q^{33} - 23 q^{34} + 37 q^{36} - 78 q^{38} - 18 q^{39} + 99 q^{40} - 18 q^{41} - 77 q^{42} + 48 q^{44} - 99 q^{46} - 40 q^{47} + 116 q^{48} - 28 q^{49} - 60 q^{50} + 98 q^{52} - 114 q^{54} - 38 q^{55} + 66 q^{56} - 30 q^{57} - 51 q^{58} - 45 q^{60} + 18 q^{62} + 18 q^{63} - 14 q^{64} - 38 q^{65} - 12 q^{66} + 10 q^{68} - 38 q^{70} - 26 q^{71} + 55 q^{72} - 18 q^{73} + 10 q^{74} + 72 q^{76} + 42 q^{78} - 22 q^{79} + 66 q^{80} - 52 q^{81} + 64 q^{82} + 125 q^{84} + 121 q^{86} - 42 q^{87} + 17 q^{88} - 2 q^{89} + 204 q^{90} + 88 q^{92} + 105 q^{94} - 78 q^{95} + 157 q^{96} - 18 q^{97} + 109 q^{98}+O(q^{100}) \) 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

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