LMFDB - Embedded newform 184.2.j.a.43.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [184,2,Mod(11,184)]

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([11, 11, 9]))

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

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

chi := DirichletCharacter("184.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.j (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			43.10
Character	$\chi$	$=$	184.43
Dual form			184.2.j.a.107.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.316945 + 1.37824i) q^{2} +(-1.18656 + 2.59820i) q^{3} +(-1.79909 - 0.873652i) q^{4} +(1.01624 - 1.17280i) q^{5} +(-3.20486 - 2.45884i) q^{6} +(-4.25438 + 2.73413i) q^{7} +(1.77431 - 2.20268i) q^{8} +(-3.37812 - 3.89856i) q^{9} +O(q^{10})$	\(q+(-0.316945 + 1.37824i) q^{2} +(-1.18656 + 2.59820i) q^{3} +(-1.79909 - 0.873652i) q^{4} +(1.01624 - 1.17280i) q^{5} +(-3.20486 - 2.45884i) q^{6} +(-4.25438 + 2.73413i) q^{7} +(1.77431 - 2.20268i) q^{8} +(-3.37812 - 3.89856i) q^{9} +(1.29431 + 1.77234i) q^{10} +(1.77318 + 0.254945i) q^{11} +(4.40464 - 3.63776i) q^{12} +(0.511843 - 0.796443i) q^{13} +(-2.41988 - 6.73013i) q^{14} +(1.84135 + 4.03199i) q^{15} +(2.47346 + 3.14356i) q^{16} +(-1.67446 + 5.70268i) q^{17} +(6.44383 - 3.42023i) q^{18} +(-0.812847 - 2.76830i) q^{19} +(-2.85293 + 1.22214i) q^{20} +(-2.05573 - 14.2979i) q^{21} +(-0.913375 + 2.36306i) q^{22} +(-3.08571 - 3.67130i) q^{23} +(3.61767 + 7.22362i) q^{24} +(0.368850 + 2.56541i) q^{25} +(0.935464 + 0.957871i) q^{26} +(5.91571 - 1.73701i) q^{27} +(10.0427 - 1.20209i) q^{28} +(-1.87742 + 6.39390i) q^{29} +(-6.14065 + 1.25990i) q^{30} +(-2.15218 + 0.982870i) q^{31} +(-5.11653 + 2.41269i) q^{32} +(-2.76637 + 4.30456i) q^{33} +(-7.32896 - 4.11524i) q^{34} +(-1.11688 + 7.76808i) q^{35} +(2.67157 + 9.96517i) q^{36} +(3.98474 + 4.59863i) q^{37} +(4.07302 - 0.242900i) q^{38} +(1.46198 + 2.27489i) q^{39} +(-0.780183 - 4.31938i) q^{40} +(-3.66827 + 4.23341i) q^{41} +(20.3575 + 1.69836i) q^{42} +(5.98202 + 2.73190i) q^{43} +(-2.96738 - 2.00781i) q^{44} -8.00523 q^{45} +(6.03793 - 3.08925i) q^{46} +4.26175i q^{47} +(-11.1025 + 2.69653i) q^{48} +(7.71643 - 16.8966i) q^{49} +(-3.65265 - 0.304729i) q^{50} +(-12.8298 - 11.1171i) q^{51} +(-1.61667 + 0.985702i) q^{52} +(-3.03402 + 1.94985i) q^{53} +(0.519063 + 8.70380i) q^{54} +(2.10098 - 1.82051i) q^{55} +(-1.52621 + 14.2223i) q^{56} +(8.15708 + 1.17281i) q^{57} +(-8.21729 - 4.61404i) q^{58} +(2.53954 + 1.63207i) q^{59} +(0.209801 - 8.86261i) q^{60} +(-2.27952 - 4.99144i) q^{61} +(-0.672507 - 3.27774i) q^{62} +(25.0310 + 7.34976i) q^{63} +(-1.70361 - 7.81650i) q^{64} +(-0.413916 - 1.40967i) q^{65} +(-5.05593 - 5.17703i) q^{66} +(10.4452 - 1.50179i) q^{67} +(7.99466 - 8.79676i) q^{68} +(13.2001 - 3.66107i) q^{69} +(-10.3523 - 4.00139i) q^{70} +(2.06420 - 0.296788i) q^{71} +(-14.5811 + 0.523653i) q^{72} +(-2.05582 + 0.603644i) q^{73} +(-7.60096 + 4.03441i) q^{74} +(-7.10309 - 2.08566i) q^{75} +(-0.956147 + 5.69058i) q^{76} +(-8.24084 + 3.76346i) q^{77} +(-3.59872 + 1.29395i) q^{78} +(6.55104 + 4.21010i) q^{79} +(6.20041 + 0.293724i) q^{80} +(-0.303823 + 2.11314i) q^{81} +(-4.67202 - 6.39752i) q^{82} +(6.06755 - 5.25756i) q^{83} +(-8.79295 + 27.5193i) q^{84} +(4.98647 + 7.75910i) q^{85} +(-5.66118 + 7.37880i) q^{86} +(-14.3849 - 12.4646i) q^{87} +(3.70774 - 3.45340i) q^{88} +(2.48788 + 1.13618i) q^{89} +(2.53721 - 11.0331i) q^{90} +4.78782i q^{91} +(2.34404 + 9.30083i) q^{92} -6.75803i q^{93} +(-5.87372 - 1.35074i) q^{94} +(-4.07272 - 1.85995i) q^{95} +(-0.197596 - 16.1565i) q^{96} +(0.549986 + 0.476566i) q^{97} +(20.8419 + 15.9904i) q^{98} +(-4.99610 - 7.77408i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9}+O(q^{10}) $ 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9	$ 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26} - 18 q^{27} - 11 q^{28} - 11 q^{30} - 11 q^{32} - 22 q^{33} + 11 q^{34} + 2 q^{35} - 41 q^{36} + 44 q^{38} - 99 q^{40} - 18 q^{41} + 99 q^{42} - 22 q^{43} - 88 q^{44} + 45 q^{46} - 100 q^{48} - 28 q^{49} + 14 q^{50} - 22 q^{51} - 118 q^{52} + 102 q^{54} - 66 q^{56} - 22 q^{57} + 43 q^{58} - 6 q^{59} - 33 q^{60} - 56 q^{62} + 18 q^{64} - 22 q^{65} + 22 q^{66} - 22 q^{67} - 10 q^{70} - 23 q^{72} - 18 q^{73} + 14 q^{75} + 44 q^{76} + 98 q^{78} + 88 q^{80} + 4 q^{81} + 14 q^{82} - 22 q^{83} + 143 q^{84} + 99 q^{86} + 77 q^{88} - 22 q^{89} + 176 q^{90} + 36 q^{92} + 111 q^{94} + 101 q^{96} - 22 q^{97} + 121 q^{98} - 22 q^{99}+O(q^{100}) $ 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$47$	$93$	$97$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{5}{22}\right)$

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 $

$2$	−0.316945	+	1.37824i	−0.224114	+	0.974563i
$2$	−0.316945	+	1.37824i	−0.224114	+	0.974563i
$3$	−1.18656	+	2.59820i	−0.685058	+	1.50007i	0.172135	+	0.985073i	$0.444934\pi$
$3$	−1.18656	+	2.59820i	−0.685058	+	1.50007i	−0.857193	+	0.514995i	$0.827794\pi$
$4$	−1.79909	−	0.873652i	−0.899546	−	0.436826i
$5$	1.01624	−	1.17280i	0.454476	−	0.524494i	−0.481552	−	0.876417i	$-0.659927\pi$
$5$	1.01624	−	1.17280i	0.454476	−	0.524494i	0.936029	+	0.351924i	$0.114472\pi$
$6$	−3.20486	−	2.45884i	−1.30838	−	1.00382i
$7$	−4.25438	+	2.73413i	−1.60801	+	1.03340i	−0.644905	+	0.764263i	$0.723103\pi$
$7$	−4.25438	+	2.73413i	−1.60801	+	1.03340i	−0.963101	+	0.269140i	$0.913261\pi$
$8$	1.77431	−	2.20268i	0.627315	−	0.778766i
$9$	−3.37812	−	3.89856i	−1.12604	−	1.29952i
$10$	1.29431	+	1.77234i	0.409298	+	0.560462i
$11$	1.77318	+	0.254945i	0.534634	+	0.0768687i	0.404344	−	0.914607i	$-0.367500\pi$
$11$	1.77318	+	0.254945i	0.534634	+	0.0768687i	0.130290	+	0.991476i	$0.458409\pi$
$12$	4.40464	−	3.63776i	1.27151	−	1.05013i
$13$	0.511843	−	0.796443i	0.141960	−	0.220894i	−0.762992	−	0.646408i	$-0.776270\pi$
$13$	0.511843	−	0.796443i	0.141960	−	0.220894i	0.904952	+	0.425514i	$0.139907\pi$
$14$	−2.41988	−	6.73013i	−0.646740	−	1.79870i
$15$	1.84135	+	4.03199i	0.475434	+	1.04105i
$16$	2.47346	+	3.14356i	0.618366	+	0.785890i
$17$	−1.67446	+	5.70268i	−0.406116	+	1.38310i	0.462061	+	0.886848i	$0.347110\pi$
$17$	−1.67446	+	5.70268i	−0.406116	+	1.38310i	−0.868177	+	0.496255i	$0.834708\pi$
$18$	6.44383	−	3.42023i	1.51883	−	0.806157i
$19$	−0.812847	−	2.76830i	−0.186480	−	0.635093i	−0.998663	−	0.0516900i	$-0.983539\pi$
$19$	−0.812847	−	2.76830i	−0.186480	−	0.635093i	0.812183	−	0.583403i	$-0.198279\pi$
$20$	−2.85293	+	1.22214i	−0.637935	+	0.273279i
$21$	−2.05573	−	14.2979i	−0.448597	−	3.12006i
$22$	−0.913375	+	2.36306i	−0.194732	+	0.503807i
$23$	−3.08571	−	3.67130i	−0.643414	−	0.765518i
$23$	−3.08571	−	3.67130i	−0.643414	−	0.765518i
$24$	3.61767	+	7.22362i	0.738454	+	1.47452i
$25$	0.368850	+	2.56541i	0.0737700	+	0.513082i
$26$	0.935464	+	0.957871i	0.183460	+	0.187854i
$27$	5.91571	−	1.73701i	1.13848	−	0.334287i
$28$	10.0427	−	1.20209i	1.89789	−	0.227175i
$29$	−1.87742	+	6.39390i	−0.348628	+	1.18732i	0.579474	+	0.814991i	$0.303258\pi$
$29$	−1.87742	+	6.39390i	−0.348628	+	1.18732i	−0.928102	+	0.372326i	$0.878560\pi$
$30$	−6.14065	+	1.25990i	−1.12112	+	0.230025i
$31$	−2.15218	+	0.982870i	−0.386544	+	0.176529i	−0.599202	−	0.800598i	$-0.704515\pi$
$31$	−2.15218	+	0.982870i	−0.386544	+	0.176529i	0.212658	+	0.977127i	$0.431788\pi$
$32$	−5.11653	+	2.41269i	−0.904484	+	0.426508i
$33$	−2.76637	+	4.30456i	−0.481564	+	0.749328i
$34$	−7.32896	−	4.11524i	−1.25691	−	0.705758i
$35$	−1.11688	+	7.76808i	−0.188788	+	1.31305i
$36$	2.67157	+	9.96517i	0.445261	+	1.66086i
$37$	3.98474	+	4.59863i	0.655087	+	0.756010i	0.981966	−	0.189056i	$-0.0605426\pi$
$37$	3.98474	+	4.59863i	0.655087	+	0.756010i	−0.326880	+	0.945066i	$0.605997\pi$
$38$	4.07302	−	0.242900i	0.660730	−	0.0394035i
$39$	1.46198	+	2.27489i	0.234105	+	0.364274i
$40$	−0.780183	−	4.31938i	−0.123358	−	0.682953i
$41$	−3.66827	+	4.23341i	−0.572888	+	0.661148i	−0.966060	−	0.258317i	$-0.916832\pi$
$41$	−3.66827	+	4.23341i	−0.572888	+	0.661148i	0.393172	+	0.919465i	$0.371378\pi$
$42$	20.3575	+	1.69836i	3.14123	+	0.262063i
$43$	5.98202	+	2.73190i	0.912250	+	0.416611i	0.815539	−	0.578702i	$-0.196441\pi$
$43$	5.98202	+	2.73190i	0.912250	+	0.416611i	0.0967109	+	0.995313i	$0.469168\pi$
$44$	−2.96738	−	2.00781i	−0.447349	−	0.302689i
$45$	−8.00523			−1.19335
$46$	6.03793	−	3.08925i	0.890244	−	0.455485i
$47$			4.26175i			0.621641i	0.950469	+	0.310820i	$0.100604\pi$
$47$			4.26175i			0.621641i	−0.950469	+	0.310820i	$0.899396\pi$
$48$	−11.1025	+	2.69653i	−1.60251	+	0.389211i
$49$	7.71643	−	16.8966i	1.10235	−	2.41380i
$50$	−3.65265	−	0.304729i	−0.516563	−	0.0430951i
$51$	−12.8298	−	11.1171i	−1.79654	−	1.55671i
$52$	−1.61667	+	0.985702i	−0.224191	+	0.136692i
$53$	−3.03402	+	1.94985i	−0.416755	+	0.267832i	−0.732170	−	0.681122i	$-0.761492\pi$
$53$	−3.03402	+	1.94985i	−0.416755	+	0.267832i	0.315416	+	0.948954i	$0.397856\pi$
$54$	0.519063	+	8.70380i	0.0706355	+	1.18444i
$55$	2.10098	−	1.82051i	0.283296	−	0.245477i
$56$	−1.52621	+	14.2223i	−0.203948	+	1.90053i
$57$	8.15708	+	1.17281i	1.08043	+	0.155343i
$58$	−8.21729	−	4.61404i	−1.07898	−	0.605854i
$59$	2.53954	+	1.63207i	0.330620	+	0.212477i	0.695410	−	0.718613i	$-0.255223\pi$
$59$	2.53954	+	1.63207i	0.330620	+	0.212477i	−0.364790	+	0.931090i	$0.618859\pi$
$60$	0.209801	−	8.86261i	0.0270852	−	1.14416i
$61$	−2.27952	−	4.99144i	−0.291862	−	0.639089i	0.705727	−	0.708484i	$-0.250620\pi$
$61$	−2.27952	−	4.99144i	−0.291862	−	0.639089i	−0.997589	+	0.0693948i	$0.977893\pi$
$62$	−0.672507	−	3.27774i	−0.0854085	−	0.416274i
$63$	25.0310	+	7.34976i	3.15361	+	0.925983i
$64$	−1.70361	−	7.81650i	−0.212952	−	0.977063i
$65$	−0.413916	−	1.40967i	−0.0513399	−	0.174848i
$66$	−5.05593	−	5.17703i	−0.622342	−	0.637249i
$67$	10.4452	−	1.50179i	1.27608	−	0.183472i	0.529237	−	0.848474i	$-0.322478\pi$
$67$	10.4452	−	1.50179i	1.27608	−	0.183472i	0.746842	+	0.665002i	$0.231569\pi$
$68$	7.99466	−	8.79676i	0.969496	−	1.06676i
$69$	13.2001	−	3.66107i	1.58911	−	0.440741i
$70$	−10.3523	−	4.00139i	−1.23734	−	0.478257i
$71$	2.06420	−	0.296788i	0.244976	−	0.0352222i	−0.0187330	−	0.999825i	$-0.505963\pi$
$71$	2.06420	−	0.296788i	0.244976	−	0.0352222i	0.263709	+	0.964602i	$0.415054\pi$
$72$	−14.5811	+	0.523653i	−1.71840	+	0.0617131i
$73$	−2.05582	+	0.603644i	−0.240616	+	0.0706512i	−0.399817	−	0.916595i	$-0.630926\pi$
$73$	−2.05582	+	0.603644i	−0.240616	+	0.0706512i	0.159201	+	0.987246i	$0.449108\pi$
$74$	−7.60096	+	4.03441i	−0.883594	+	0.468991i
$75$	−7.10309	−	2.08566i	−0.820194	−	0.240831i
$76$	−0.956147	+	5.69058i	−0.109678	+	0.652754i
$77$	−8.24084	+	3.76346i	−0.939131	+	0.428887i
$78$	−3.59872	+	1.29395i	−0.407474	+	0.146511i
$79$	6.55104	+	4.21010i	0.737050	+	0.473673i	0.854530	−	0.519402i	$-0.173845\pi$
$79$	6.55104	+	4.21010i	0.737050	+	0.473673i	−0.117480	+	0.993075i	$0.537482\pi$
$80$	6.20041	+	0.293724i	0.693227	+	0.0328393i
$81$	−0.303823	+	2.11314i	−0.0337582	+	0.234793i
$82$	−4.67202	−	6.39752i	−0.515938	−	0.706488i
$83$	6.06755	−	5.25756i	0.666000	−	0.577092i	−0.254864	−	0.966977i	$-0.582031\pi$
$83$	6.06755	−	5.25756i	0.666000	−	0.577092i	0.920864	+	0.389885i	$0.127485\pi$
$84$	−8.79295	+	27.5193i	−0.959390	+	3.00260i
$85$	4.98647	+	7.75910i	0.540859	+	0.841593i
$86$	−5.66118	+	7.37880i	−0.610461	+	0.795677i
$87$	−14.3849	−	12.4646i	−1.54223	−	1.33635i
$88$	3.70774	−	3.45340i	0.395247	−	0.368133i
$89$	2.48788	+	1.13618i	0.263715	+	0.120435i	0.542885	−	0.839807i	$-0.317332\pi$
$89$	2.48788	+	1.13618i	0.263715	+	0.120435i	−0.279170	+	0.960242i	$0.590059\pi$
$90$	2.53721	−	11.0331i	0.267446	−	1.16299i
$91$			4.78782i			0.501900i
$92$	2.34404	+	9.30083i	0.244383	+	0.969679i
$93$		−	6.75803i		−	0.700775i
$94$	−5.87372	−	1.35074i	−0.605828	−	0.139318i
$95$	−4.07272	−	1.85995i	−0.417853	−	0.190827i
$96$	−0.197596	−	16.1565i	−0.0201671	−	1.64897i
$97$	0.549986	+	0.476566i	0.0558426	+	0.0483879i	0.682335	−	0.731040i	$-0.260965\pi$
$97$	0.549986	+	0.476566i	0.0558426	+	0.0483879i	−0.626492	+	0.779428i	$0.715510\pi$
$98$	20.8419	+	15.9904i	2.10535	+	1.61527i
$99$	−4.99610	−	7.77408i	−0.502127	−	0.781325i
$100$	1.57768	−	4.93765i	0.157768	−	0.493765i
$101$	4.97284	−	4.30899i	0.494816	−	0.428760i	−0.371368	−	0.928486i	$-0.621111\pi$
$101$	4.97284	−	4.30899i	0.494816	−	0.428760i	0.866184	+	0.499725i	$0.166566\pi$
$102$	19.3884	−	14.1591i	1.91974	−	1.40196i
$103$	−0.433456	+	3.01475i	−0.0427097	+	0.297052i	0.957260	+	0.289230i	$0.0933991\pi$
$103$	−0.433456	+	3.01475i	−0.0427097	+	0.297052i	−0.999969	+	0.00782265i	$0.997510\pi$
$104$	−0.846140	−	2.54057i	−0.0829709	−	0.249123i
$105$	−18.8578	−	12.1191i	−1.84033	−	1.18271i
$106$	−1.72574	−	4.79960i	−0.167619	−	0.466179i
$107$	−4.86924	+	2.22371i	−0.470727	+	0.214974i	−0.636632	−	0.771168i	$-0.719673\pi$
$107$	−4.86924	+	2.22371i	−0.470727	+	0.214974i	0.165905	+	0.986142i	$0.446946\pi$
$108$	−12.1604	−	2.04323i	−1.17014	−	0.196610i
$109$	11.1429	+	3.27186i	1.06730	+	0.313388i	0.767787	−	0.640705i	$-0.221358\pi$
$109$	11.1429	+	3.27186i	1.06730	+	0.313388i	0.299513	+	0.954092i	$0.403176\pi$
$110$	1.84320	+	3.47265i	0.175742	+	0.331104i
$111$	−16.6763	+	4.89659i	−1.58284	+	0.464764i
$112$	−19.1180	−	6.61115i	−1.80648	−	0.624695i
$113$	5.70500	−	0.820255i	0.536681	−	0.0771631i	0.131355	−	0.991335i	$-0.458067\pi$
$113$	5.70500	−	0.820255i	0.536681	−	0.0771631i	0.405326	+	0.914172i	$0.367158\pi$
$114$	−4.20176	+	10.8707i	−0.393531	+	1.01813i
$115$	−7.44153	−	0.111989i	−0.693926	−	0.0104430i
$116$	8.96369	−	9.86300i	0.832258	−	0.915757i
$117$	−4.83405	+	0.695031i	−0.446908	+	0.0642556i
$118$	−3.05427	+	2.98283i	−0.281169	+	0.274591i
$119$	−8.46807	−	28.8396i	−0.776266	−	2.64372i
$120$	12.1483	+	3.09811i	1.10898	+	0.282818i
$121$	−7.47525	−	2.19493i	−0.679568	−	0.199539i
$122$	7.60189	−	1.55971i	0.688243	−	0.141209i
$123$	−6.64662	−	14.5541i	−0.599306	−	1.31230i
$124$	4.73066	+	0.111987i	0.424826	+	0.0100567i
$125$	9.91102	+	6.36943i	0.886468	+	0.569699i
$126$	−18.0632	+	32.1692i	−1.60920	+	2.86586i
$127$	7.31678	+	1.05199i	0.649259	+	0.0933494i	0.459073	−	0.888399i	$-0.348182\pi$
$127$	7.31678	+	1.05199i	0.649259	+	0.0933494i	0.190186	+	0.981748i	$0.439091\pi$
$128$	11.3130	+	0.129411i	0.999935	+	0.0114384i
$129$	−14.1960	+	12.3009i	−1.24989	+	1.08304i
$130$	2.07405	−	0.123689i	0.181906	−	0.0108482i
$131$	−10.2101	+	6.56165i	−0.892062	+	0.573294i	−0.904426	−	0.426630i	$-0.859701\pi$
$131$	−10.2101	+	6.56165i	−0.892062	+	0.573294i	0.0123639	+	0.999924i	$0.496064\pi$
$132$	8.73765	−	5.32745i	0.760515	−	0.463695i
$133$	11.0271	+	9.55500i	0.956167	+	0.828524i
$134$	−1.24071	+	14.8719i	−0.107181	+	1.28474i
$135$	3.97461	−	8.70318i	0.342080	−	0.749050i
$136$	9.59018	+	13.8067i	0.822351	+	1.18391i
$137$		−	7.56507i		−	0.646328i	−0.946343	−	0.323164i	$-0.895254\pi$
$137$		−	7.56507i		−	0.646328i	0.946343	−	0.323164i	$-0.104746\pi$
$138$	0.862133	+	19.3533i	0.0733897	+	1.64746i
$139$	−0.118762			−0.0100732			−0.00503662	−	0.999987i	$-0.501603\pi$
$139$	−0.118762			−0.0100732			−0.00503662	+	0.999987i	$0.501603\pi$
$140$	8.79598	−	12.9997i	0.743396	−	1.09868i
$141$	−11.0729	−	5.05681i	−0.932504	−	0.425860i
$142$	−0.245194	+	2.93903i	−0.0205762	+	0.246638i
$143$	1.11064	−	1.28174i	0.0928762	−	0.107185i
$144$	3.89969	−	20.2623i	0.324975	−	1.68852i
$145$	5.59088	+	8.69958i	0.464297	+	0.722460i
$146$	−0.180384	−	3.02474i	−0.0149287	−	0.250329i
$147$	34.7448	+	40.0976i	2.86570	+	3.30719i
$148$	−3.15131	−	11.7546i	−0.259036	−	0.966225i
$149$	−0.0580693	+	0.403881i	−0.00475722	+	0.0330872i	−0.992062	−	0.125751i	$-0.959866\pi$
$149$	−0.0580693	+	0.403881i	−0.00475722	+	0.0330872i	0.987305	+	0.158839i	$0.0507749\pi$
$150$	5.12582	−	9.12873i	0.418522	−	0.745358i
$151$	−10.8362	+	16.8615i	−0.881841	+	1.37217i	0.0459004	+	0.998946i	$0.485384\pi$
$151$	−10.8362	+	16.8615i	−0.881841	+	1.37217i	−0.927741	+	0.373225i	$0.878252\pi$
$152$	−7.53994	−	3.12140i	−0.611570	−	0.253179i
$153$	27.8888	−	12.7364i	2.25467	−	1.02967i
$154$	−2.57507	−	12.5507i	−0.207505	−	1.01136i
$155$	−1.03442	+	3.52292i	−0.0830869	+	0.282968i
$156$	−0.642781	−	5.37000i	−0.0514636	−	0.429944i
$157$	4.95710	−	1.45554i	0.395620	−	0.116164i	−0.0778705	−	0.996963i	$-0.524812\pi$
$157$	4.95710	−	1.45554i	0.395620	−	0.116164i	0.473490	+	0.880799i	$0.342994\pi$
$158$	−7.87884	+	7.69454i	−0.626807	+	0.612145i
$159$	−1.46605	−	10.1966i	−0.116265	−	0.808641i
$160$	−2.37001	+	8.45256i	−0.187366	+	0.668234i
$161$	23.1656	+	7.18239i	1.82570	+	0.566051i
$162$	−2.81612	−	1.08849i	−0.221255	−	0.0855198i
$163$	−2.18799	−	15.2178i	−0.171377	−	1.19195i	−0.875979	−	0.482349i	$-0.839784\pi$
$163$	−2.18799	−	15.2178i	−0.171377	−	1.19195i	0.704602	−	0.709602i	$-0.251125\pi$
$164$	10.2981	−	4.41151i	0.804146	−	0.344481i
$165$	2.23710	+	7.61888i	0.174158	+	0.593129i
$166$	5.32311	+	10.0289i	0.413153	+	0.778394i
$167$	−6.78687	+	23.1139i	−0.525183	+	1.78861i	0.0850357	+	0.996378i	$0.472900\pi$
$167$	−6.78687	+	23.1139i	−0.525183	+	1.78861i	−0.610219	+	0.792233i	$0.708919\pi$
$168$	−35.1413	−	20.8409i	−2.71121	−	1.60791i
$169$	5.02806	+	11.0099i	0.386774	+	0.846916i
$170$	−12.2743	+	4.41335i	−0.941399	+	0.338489i
$171$	−8.04650	+	12.5206i	−0.615331	+	0.957474i
$172$	−8.37548	−	10.1411i	−0.638625	−	0.773255i
$173$	−23.6841	−	3.40525i	−1.80067	−	0.258897i	−0.841200	−	0.540724i	$-0.818150\pi$
$173$	−23.6841	−	3.40525i	−1.80067	−	0.258897i	−0.959465	+	0.281827i	$0.909060\pi$
$174$	21.7385	−	15.8753i	1.64799	−	1.20350i
$175$	−8.58338	−	9.90575i	−0.648843	−	0.748804i
$176$	3.58446	+	6.20469i	0.270189	+	0.467696i
$177$	−7.25374	+	4.66169i	−0.545224	+	0.350394i
$178$	−2.35445	+	3.06879i	−0.176473	+	0.230016i
$179$	−0.730648	+	0.843213i	−0.0546112	+	0.0630247i	−0.782398	−	0.622779i	$-0.786004\pi$
$179$	−0.730648	+	0.843213i	−0.0546112	+	0.0630247i	0.727787	+	0.685804i	$0.240549\pi$
$180$	14.4021	+	6.99378i	1.07347	+	0.521286i
$181$	2.00254	−	4.38495i	0.148847	−	0.325931i	−0.820491	−	0.571659i	$-0.806300\pi$
$181$	2.00254	−	4.38495i	0.148847	−	0.325931i	0.969339	+	0.245729i	$0.0790272\pi$
$182$	−6.59876	−	1.51747i	−0.489133	−	0.112483i
$183$	15.6735			1.15862
$184$	−13.5617	+	0.282797i	−0.999783	+	0.0208481i
$185$	9.44274			0.694244
$186$	9.31418	+	2.14192i	0.682949	+	0.157053i
$187$	−4.42299	+	9.68499i	−0.323441	+	0.708236i
$188$	3.72329	−	7.66729i	0.271549	−	0.559194i
$189$	−20.4185	+	23.5642i	−1.48523	+	1.71404i
$190$	3.85429	−	5.02369i	0.279619	−	0.364457i
$191$	16.9573	−	10.8978i	1.22699	−	0.788538i	0.243570	−	0.969883i	$-0.421681\pi$
$191$	16.9573	−	10.8978i	1.22699	−	0.788538i	0.983420	+	0.181345i	$0.0580450\pi$
$192$	22.3302	+	4.84840i	1.61155	+	0.349903i
$193$	−15.5292	−	17.9216i	−1.11781	−	1.29002i	−0.952755	−	0.303741i	$-0.901764\pi$
$193$	−15.5292	−	17.9216i	−1.11781	−	1.29002i	−0.165058	−	0.986284i	$-0.552781\pi$
$194$	−0.831137	+	0.606968i	−0.0596722	+	0.0435778i
$195$	4.15373	+	0.597216i	0.297455	+	0.0427675i
$196$	−28.6443	+	23.6571i	−2.04602	+	1.68979i
$197$	−7.43508	+	11.5692i	−0.529727	+	0.824272i	−0.998247	−	0.0591811i	$-0.981151\pi$
$197$	−7.43508	+	11.5692i	−0.529727	+	0.824272i	0.468520	+	0.883453i	$0.344787\pi$
$198$	12.2980	−	4.42187i	0.873983	−	0.314249i
$199$	−4.70110	−	10.2940i	−0.333252	−	0.729721i	0.666625	−	0.745394i	$-0.267738\pi$
$199$	−4.70110	−	10.2940i	−0.333252	−	0.729721i	−0.999877	+	0.0156724i	$0.995011\pi$
$200$	6.30523	+	3.73938i	0.445847	+	0.264414i
$201$	−8.49183	+	28.9205i	−0.598967	+	2.03990i
$202$	4.36271	+	8.21948i	0.306959	+	0.578320i
$203$	−9.49447	−	32.3352i	−0.666381	−	2.26949i
$204$	13.3696	+	31.2095i	0.936057	+	2.18511i
$205$	1.23712	+	8.60433i	0.0864039	+	0.600952i
$206$	−4.01767	−	1.55292i	−0.279924	−	0.108197i
$207$	−3.88887	+	24.4319i	−0.270295	+	1.69813i
$208$	3.76969	−	0.360965i	0.261381	−	0.0250284i
$209$	−0.735560	−	5.11593i	−0.0508797	−	0.353876i
$210$	22.6800	−	22.1494i	1.56507	−	1.52846i
$211$	19.8313	−	5.82299i	1.36524	−	0.400871i	0.484634	−	0.874717i	$-0.338953\pi$
$211$	19.8313	−	5.82299i	1.36524	−	0.400871i	0.880608	+	0.473846i	$0.157134\pi$
$212$	7.16197	−	0.857276i	0.491886	−	0.0588779i
$213$	−1.67818	+	5.71536i	−0.114987	+	0.391610i
$214$	−1.52152	−	7.41577i	−0.104009	−	0.506932i
$215$	9.28315	−	4.23947i	0.633106	−	0.289130i
$216$	6.67025	−	16.1124i	0.453853	−	1.09631i
$217$	6.46893	−	10.0659i	0.439140	−	0.683315i
$218$	−8.04111	+	14.3207i	−0.544613	+	0.969917i
$219$	0.870964	−	6.05769i	0.0588543	−	0.409340i
$220$	−5.37034	+	1.43974i	−0.362068	+	0.0970670i
$221$	3.68480	+	4.25249i	0.247867	+	0.286053i
$222$	−1.46323	−	24.5358i	−0.0982054	−	1.64674i
$223$	−9.09188	−	14.1472i	−0.608838	−	0.947370i	−0.999638	−	0.0268945i	$-0.991438\pi$
$223$	−9.09188	−	14.1472i	−0.608838	−	0.947370i	0.390801	−	0.920475i	$-0.372198\pi$
$224$	15.1711	−	24.2538i	1.01366	−	1.62052i
$225$	8.75538	−	10.1042i	0.583692	−	0.673616i
$226$	−0.677661	+	8.12284i	−0.0450773	+	0.540323i
$227$	−8.26371	−	3.77391i	−0.548482	−	0.250483i	0.121845	−	0.992549i	$-0.461119\pi$
$227$	−8.26371	−	3.77391i	−0.548482	−	0.250483i	−0.670327	+	0.742066i	$0.733846\pi$
$228$	−13.6507	−	9.23645i	−0.904041	−	0.611699i
$229$	5.97598			0.394904			0.197452	−	0.980313i	$-0.436733\pi$
$229$	5.97598			0.394904			0.197452	+	0.980313i	$0.436733\pi$
$230$	2.51290	−	10.2207i	0.165696	−	0.673934i
$231$		−	25.8769i		−	1.70257i
$232$	10.7526	+	15.4801i	0.705942	+	1.01632i
$233$	−5.31970	+	11.6485i	−0.348505	+	0.763120i	0.651485	+	0.758662i	$0.274146\pi$
$233$	−5.31970	+	11.6485i	−0.348505	+	0.763120i	−0.999990	+	0.00445810i	$0.998581\pi$
$234$	0.574206	−	6.88276i	0.0375370	−	0.449940i
$235$	4.99820	+	4.33096i	0.326047	+	0.282521i
$236$	−3.14302	−	5.15491i	−0.204593	−	0.335556i
$237$	−18.7118	+	12.0254i	−1.21546	+	0.781131i
$238$	42.4318	−	2.53048i	2.75044	−	0.164026i
$239$	11.2879	−	9.78101i	0.730153	−	0.632681i	−0.208309	−	0.978063i	$-0.566796\pi$
$239$	11.2879	−	9.78101i	0.730153	−	0.632681i	0.938462	+	0.345382i	$0.112251\pi$
$240$	−8.12029	+	15.7614i	−0.524162	+	1.01739i
$241$	5.50463	+	0.791446i	0.354584	+	0.0509815i	0.317306	−	0.948323i	$-0.397222\pi$
$241$	5.50463	+	0.791446i	0.354584	+	0.0509815i	0.0372789	+	0.999305i	$0.488131\pi$
$242$	5.39439	−	9.60702i	0.346764	−	0.617563i
$243$	10.4303	+	6.70313i	0.669103	+	0.430006i
$244$	−0.259725	+	10.9716i	−0.0166272	+	0.702383i
$245$	−11.9747	−	26.2209i	−0.765034	−	1.67519i
$246$	22.1656	−	4.54781i	1.41323	−	0.289957i
$247$	−2.62085	−	0.769550i	−0.166760	−	0.0489653i
$248$	−1.65370	+	6.48450i	−0.105010	+	0.411766i
$249$	6.46069	+	22.0031i	0.409429	+	1.39439i
$250$	−11.9198	+	11.6410i	−0.753877	+	0.736242i
$251$	−29.2090	+	4.19961i	−1.84365	+	0.265077i	−0.973663	−	0.227992i	$-0.926784\pi$
$251$	−29.2090	+	4.19961i	−1.84365	+	0.265077i	−0.869990	+	0.493069i	$0.835875\pi$
$252$	−38.6119	−	35.0913i	−2.43232	−	2.21054i
$253$	−4.53554	−	7.29655i	−0.285147	−	0.458730i
$254$	−3.76892	+	9.75086i	−0.236483	+	0.611823i
$255$	−26.0764	+	3.74922i	−1.63297	+	0.234785i
$256$	−3.76394	+	15.5510i	−0.235247	+	0.971936i
$257$	−17.9623	+	5.27421i	−1.12046	+	0.328996i	−0.788951	−	0.614457i	$-0.789375\pi$
$257$	−17.9623	+	5.27421i	−1.12046	+	0.328996i	−0.331507	+	0.943453i	$0.607557\pi$
$258$	−12.4543	−	23.4642i	−0.775369	−	1.46082i
$259$	−29.5258	−	8.66957i	−1.83465	−	0.538701i
$260$	−0.486886	+	2.89774i	−0.0301954	+	0.179710i
$261$	31.2691	−	14.2801i	1.93551	−	0.883918i
$262$	−5.80748	−	16.1517i	−0.358787	−	0.997854i
$263$	5.04812	+	3.24423i	0.311280	+	0.200048i	0.686948	−	0.726707i	$-0.258950\pi$
$263$	5.04812	+	3.24423i	0.311280	+	0.200048i	−0.375667	+	0.926755i	$0.622586\pi$
$264$	4.57316	+	13.7311i	0.281459	+	0.845090i
$265$	−0.796506	+	5.53982i	−0.0489290	+	0.340308i
$266$	−16.6641	+	12.1695i	−1.02174	+	0.746162i
$267$	−5.90402	+	5.11587i	−0.361320	+	0.313086i
$268$	−20.1038	−	6.42358i	−1.22804	−	0.392383i
$269$	7.79282	+	12.1259i	0.475137	+	0.739327i	0.993251	−	0.115984i	$-0.0370022\pi$
$269$	7.79282	+	12.1259i	0.475137	+	0.739327i	−0.518114	+	0.855311i	$0.673366\pi$
$270$	10.7353	+	8.23639i	0.653332	+	0.501251i
$271$	14.9068	+	12.9168i	0.905521	+	0.784638i	0.977096	−	0.212797i	$-0.0682572\pi$
$271$	14.9068	+	12.9168i	0.905521	+	0.784638i	−0.0715755	+	0.997435i	$0.522803\pi$
$272$	−22.0684	+	8.84162i	−1.33810	+	0.536102i
$273$	−12.4397	−	5.68101i	−0.752884	−	0.343831i
$274$	10.4265	+	2.39771i	0.629887	+	0.144851i
$275$			4.64297i			0.279981i
$276$	−26.9467	−	4.94569i	−1.62200	−	0.297696i
$277$		−	25.9987i		−	1.56211i	−0.624462	−	0.781055i	$-0.714682\pi$
$277$		−	25.9987i		−	1.56211i	0.624462	−	0.781055i	$-0.285318\pi$
$278$	0.0376409	−	0.163682i	0.00225755	−	0.00981700i
$279$	11.1021	+	5.07017i	0.664666	+	0.303543i
$280$	15.1289	+	16.2432i	0.904126	+	0.970715i
$281$	−7.23906	−	6.27268i	−0.431846	−	0.374197i	0.411641	−	0.911346i	$-0.364956\pi$
$281$	−7.23906	−	6.27268i	−0.431846	−	0.374197i	−0.843487	+	0.537149i	$0.819501\pi$
$282$	10.4790	−	13.6583i	0.624014	−	0.813342i
$283$	12.4318	+	19.3442i	0.738992	+	1.14989i	0.983616	+	0.180276i	$0.0576992\pi$
$283$	12.4318	+	19.3442i	0.738992	+	1.14989i	−0.244624	+	0.969618i	$0.578664\pi$
$284$	−3.97298	−	1.26945i	−0.235753	−	0.0753279i
$285$	9.66503	−	8.37480i	0.572507	−	0.496080i
$286$	1.41454	+	1.93697i	0.0836436	+	0.114535i
$287$	4.03156	−	28.0401i	0.237975	−	1.65515i
$288$	26.6903	+	11.7967i	1.57274	+	0.695129i
$289$	−15.4155	−	9.90692i	−0.906792	−	0.582760i
$290$	−13.7621	+	4.94829i	−0.808139	+	0.290573i
$291$	−1.89080	+	0.863499i	−0.110841	+	0.0506192i
$292$	4.22599	+	0.710062i	0.247307	+	0.0415532i
$293$	4.91323	+	1.44266i	0.287034	+	0.0842808i	0.422080	−	0.906559i	$-0.361300\pi$
$293$	4.91323	+	1.44266i	0.287034	+	0.0842808i	−0.135046	+	0.990839i	$0.543118\pi$
$294$	−66.2763	+	35.1779i	−3.86531	+	2.05162i
$295$	4.49488	−	1.31982i	0.261702	−	0.0768426i
$296$	17.1995	−	0.617687i	0.999701	−	0.0359023i
$297$	10.9325	−	1.57185i	0.634365	−	0.0912080i
$298$	−0.538240	−	0.208041i	−0.0311794	−	0.0120515i
$299$	−4.50337	+	0.578464i	−0.260437	+	0.0334534i
$300$	10.9570	+	9.95792i	0.632602	+	0.574921i
$301$	−32.9192	+	4.73306i	−1.89743	+	0.272809i
$302$	−19.8047	−	20.2791i	−1.13963	−	1.16693i
$303$	5.29504	+	18.0333i	0.304192	+	1.03598i
$304$	6.69178	−	9.40254i	0.383800	−	0.539273i
$305$	−8.17052	−	2.39908i	−0.467843	−	0.137371i
$306$	8.71459	+	42.4742i	0.498180	+	2.42809i
$307$	−5.47087	−	11.9795i	−0.312239	−	0.683708i	0.686831	−	0.726817i	$-0.259001\pi$
$307$	−5.47087	−	11.9795i	−0.312239	−	0.683708i	−0.999070	+	0.0431085i	$0.986274\pi$
$308$	18.1140	+	0.428804i	1.03214	+	0.0244334i
$309$	−7.31860	−	4.70338i	−0.416340	−	0.267566i
$310$	−4.52758	−	2.54225i	−0.257149	−	0.144390i
$311$	11.6388	+	1.67340i	0.659974	+	0.0948900i	0.464160	−	0.885751i	$-0.346356\pi$
$311$	11.6388	+	1.67340i	0.659974	+	0.0948900i	0.195814	+	0.980641i	$0.437265\pi$
$312$	7.60488	+	0.816089i	0.430542	+	0.0462019i
$313$	−4.12965	+	3.57836i	−0.233422	+	0.202261i	−0.763716	−	0.645553i	$-0.776627\pi$
$313$	−4.12965	+	3.57836i	−0.233422	+	0.202261i	0.530294	+	0.847814i	$0.322082\pi$
$314$	0.434952	+	7.29340i	0.0245457	+	0.411590i
$315$	34.0573	−	21.8873i	1.91891	−	1.23321i
$316$	−8.10776	−	13.2977i	−0.456097	−	0.748053i
$317$	−0.757874	−	0.656701i	−0.0425664	−	0.0368840i	0.633318	−	0.773892i	$-0.281693\pi$
$317$	−0.757874	−	0.656701i	−0.0425664	−	0.0368840i	−0.675884	+	0.737008i	$0.736238\pi$
$318$	14.5180	+	1.21119i	0.814128	+	0.0679200i
$319$	−4.95909	+	10.8589i	−0.277656	+	0.607981i
$320$	−10.8985	−	5.94544i	−0.609245	−	0.332360i
$321$		−	15.2898i		−	0.853393i
$322$	−17.2413	+	29.6513i	−0.960818	+	1.65240i
$323$	17.1478			0.954131
$324$	2.39275	−	3.53629i	0.132931	−	0.196461i
$325$	2.23199	+	1.01932i	0.123809	+	0.0565416i
$326$	21.6673	+	1.80763i	1.20004	+	0.100115i
$327$	−21.7227	+	25.0693i	−1.20127	+	1.38633i
$328$	2.81619	+	15.5914i	0.155498	+	0.860894i
$329$	−11.6522	−	18.1311i	−0.642405	−	0.999602i
$330$	−11.2097	+	0.668504i	−0.617073	+	0.0367999i
$331$	−0.0677879	−	0.0782314i	−0.00372596	−	0.00429998i	0.753884	−	0.657008i	$-0.228178\pi$
$331$	−0.0677879	−	0.0782314i	−0.00372596	−	0.00429998i	−0.757609	+	0.652708i	$0.773633\pi$
$332$	−15.5094	+	4.15791i	−0.851187	+	0.228195i
$333$	4.46712	−	31.0695i	0.244796	−	1.70260i
$334$	−29.7055	−	16.6798i	−1.62541	−	0.912677i
$335$	8.85349	−	13.7763i	0.483718	−	0.752679i
$336$	39.8616	−	41.8277i	2.17463	−	2.28189i
$337$	3.26885	−	1.49283i	0.178066	−	0.0813199i	−0.324388	−	0.945924i	$-0.605158\pi$
$337$	3.26885	−	1.49283i	0.178066	−	0.0813199i	0.502453	+	0.864604i	$0.332431\pi$
$338$	−16.7679	+	3.44034i	−0.912054	+	0.187130i
$339$	−4.63812	+	15.7960i	−0.251908	+	0.857920i
$340$	−2.19237	−	18.3158i	−0.118898	−	0.993313i
$341$	−4.06679	+	1.19412i	−0.220229	+	0.0646650i
$342$	−14.7061	−	15.0584i	−0.795215	−	0.814262i
$343$	8.33086	+	57.9424i	0.449824	+	3.12859i
$344$	16.6315	−	8.32925i	0.896710	−	0.449083i
$345$	9.12076	−	19.2017i	0.491045	−	1.03378i
$346$	12.1998	−	31.5630i	0.655865	−	1.69684i
$347$	1.43435	+	9.97614i	0.0770000	+	0.535547i	0.991413	+	0.130765i	$0.0417434\pi$
$347$	1.43435	+	9.97614i	0.0770000	+	0.535547i	−0.914413	+	0.404782i	$0.867347\pi$
$348$	14.9901	+	34.9924i	0.803553	+	1.87579i
$349$	3.47686	+	11.8411i	0.186112	+	0.633839i	0.998699	+	0.0509990i	$0.0162405\pi$
$349$	3.47686	+	11.8411i	0.186112	+	0.633839i	−0.812587	+	0.582840i	$0.801941\pi$
$350$	16.3730	−	8.69038i	0.875171	−	0.464521i
$351$	1.64448	−	5.60060i	0.0877761	−	0.298938i
$352$	−9.68764	+	2.97371i	−0.516353	+	0.158499i
$353$	5.28114	+	11.5641i	0.281087	+	0.615494i	0.996535	−	0.0831712i	$-0.0265048\pi$
$353$	5.28114	+	11.5641i	0.281087	+	0.615494i	−0.715448	+	0.698666i	$0.753778\pi$
$354$	−4.12590	−	11.4749i	−0.219289	−	0.609884i
$355$	1.74965	−	2.72251i	0.0928619	−	0.144496i
$356$	−3.48331	−	4.21763i	−0.184615	−	0.223534i
$357$	84.9787	+	12.2181i	4.49755	+	0.646650i
$358$	−0.930575	−	1.27426i	−0.0491824	−	0.0673468i
$359$	12.0759	+	13.9363i	0.637342	+	0.735532i	0.978902	−	0.204328i	$-0.0655010\pi$
$359$	12.0759	+	13.9363i	0.637342	+	0.735532i	−0.341561	+	0.939860i	$0.610956\pi$
$360$	−14.2038	+	17.6330i	−0.748605	+	0.929339i
$361$	8.98103	−	5.77176i	0.472686	−	0.303777i
$362$	5.40882	+	4.14976i	0.284281	+	0.218107i
$363$	14.5727	−	16.8178i	0.764867	−	0.882703i
$364$	4.18289	−	8.61372i	0.219243	−	0.451482i
$365$	−1.38125	+	3.02452i	−0.0722981	+	0.158311i
$366$	−4.96764	+	21.6019i	−0.259663	+	1.12915i
$367$	−32.2136			−1.68154			−0.840768	−	0.541396i	$-0.817896\pi$
$367$	−32.2136			−1.68154			−0.840768	+	0.541396i	$0.817896\pi$
$368$	3.90855	−	18.7809i	0.203747	−	0.979024i
$369$	28.8961			1.50427
$370$	−2.99283	+	13.0144i	−0.155590	+	0.676585i
$371$	7.57676	−	16.5908i	0.393366	−	0.861351i
$372$	−5.90416	+	12.1583i	−0.306117	+	0.630379i
$373$	19.2000	−	22.1580i	0.994137	−	1.14730i	0.00504651	−	0.999987i	$-0.498394\pi$
$373$	19.2000	−	22.1580i	0.994137	−	1.14730i	0.989091	−	0.147308i	$-0.0470609\pi$
$374$	−11.9464	−	9.16554i	−0.617733	−	0.473939i
$375$	−28.3090	+	18.1931i	−1.46187	+	0.939487i
$376$	9.38729	+	7.56169i	0.484112	+	0.389964i
$377$	4.13143	+	4.76793i	0.212780	+	0.245561i
$378$	−26.0056	−	35.6101i	−1.33758	−	1.83159i
$379$	6.85191	+	0.985157i	0.351959	+	0.0506041i	0.316027	−	0.948750i	$-0.397651\pi$
$379$	6.85191	+	0.985157i	0.351959	+	0.0506041i	0.0359320	+	0.999354i	$0.488560\pi$
$380$	5.70226	+	6.90437i	0.292520	+	0.354187i
$381$	−11.4151	+	17.7622i	−0.584811	+	0.909984i
$382$	9.64527	+	26.8253i	0.493495	+	1.37250i
$383$	2.51646	+	5.51028i	0.128585	+	0.281562i	0.962964	−	0.269629i	$-0.0869009\pi$
$383$	2.51646	+	5.51028i	0.128585	+	0.281562i	−0.834379	+	0.551191i	$0.814174\pi$
$384$	−13.7597	+	29.2397i	−0.702172	+	1.49213i
$385$	−3.96086	+	13.4895i	−0.201864	+	0.687487i
$386$	29.6221	−	15.7227i	1.50773	−	0.800267i
$387$	−9.55753	−	32.5500i	−0.485837	−	1.65461i
$388$	−0.573123	−	1.33788i	−0.0290959	−	0.0679207i
$389$	−1.30274	−	9.06078i	−0.0660517	−	0.459400i	−0.995826	−	0.0912700i	$-0.970907\pi$
$389$	−1.30274	−	9.06078i	−0.0660517	−	0.459400i	0.929774	−	0.368130i	$-0.120002\pi$
$390$	−2.13961	+	5.53555i	−0.108343	+	0.280303i
$391$	26.1031	−	11.4494i	1.32009	−	0.579020i
$392$	−23.5265	−	46.9768i	−1.18827	−	2.37269i
$393$	−4.93356	−	34.3136i	−0.248865	−	1.73089i
$394$	−13.5886	−	13.9141i	−0.684586	−	0.700983i
$395$	11.5950	−	3.40461i	0.583410	−	0.171305i
$396$	2.19660	+	18.3511i	0.110383	+	0.922179i
$397$	5.55659	−	18.9240i	0.278877	−	0.949769i	−0.694295	−	0.719691i	$-0.744284\pi$
$397$	5.55659	−	18.9240i	0.278877	−	0.949769i	0.973172	−	0.230078i	$-0.0738983\pi$
$398$	15.6776	−	3.21663i	0.785846	−	0.161235i
$399$	−37.9100	+	17.3129i	−1.89787	+	0.866730i
$400$	−7.15218	+	7.50495i	−0.357609	+	0.375247i
$401$	0.0268091	−	0.0417158i	0.00133878	−	0.00208319i	−0.840583	−	0.541682i	$-0.817788\pi$
$401$	0.0268091	−	0.0417158i	0.00133878	−	0.00208319i	0.841922	+	0.539599i	$0.181424\pi$
$402$	−37.1680	−	20.8700i	−1.85377	−	1.04090i
$403$	−0.318781	+	2.21717i	−0.0158796	+	0.110445i
$404$	−12.7111	+	3.40774i	−0.632403	+	0.169541i
$405$	2.16954	+	2.50378i	0.107805	+	0.124414i
$406$	47.5749	−	2.83719i	2.36110	−	0.140807i
$407$	5.89326	+	9.17009i	0.292118	+	0.454544i
$408$	−47.2517	+	8.53479i	−2.33931	+	0.422535i
$409$	9.98127	−	11.5190i	0.493542	−	0.569578i	−0.453267	−	0.891375i	$-0.649741\pi$
$409$	9.98127	−	11.5190i	0.493542	−	0.569578i	0.946809	+	0.321797i	$0.104287\pi$
$410$	−12.2509	−	1.02205i	−0.605030	−	0.0504756i
$411$	19.6555	+	8.97638i	0.969536	+	0.442772i
$412$	3.41367	−	5.04513i	0.168180	−	0.248556i
$413$	−15.2665			−0.751214
$414$	−32.4405	−	13.1034i	−1.59436	−	0.643995i
$415$		−	12.4590i		−	0.611588i
$416$	−0.697288	+	5.30995i	−0.0341873	+	0.260342i
$417$	0.140917	−	0.308566i	0.00690075	−	0.0151105i
$418$	7.28411	+	0.607689i	0.356278	+	0.0297231i
$419$	21.4069	+	18.5492i	1.04579	+	0.906186i	0.995707	−	0.0925585i	$-0.0295045\pi$
$419$	21.4069	+	18.5492i	1.04579	+	0.906186i	0.0500876	+	0.998745i	$0.484050\pi$
$420$	23.3389	+	38.2786i	1.13882	+	1.86780i
$421$	29.3409	−	18.8562i	1.42999	−	0.918996i	0.430117	−	0.902773i	$-0.358472\pi$
$421$	29.3409	−	18.8562i	1.42999	−	0.918996i	0.999868	−	0.0162229i	$-0.00516414\pi$
$422$	1.74006	+	29.1778i	0.0847048	+	1.42036i
$423$	16.6147	−	14.3967i	0.807834	−	0.699992i
$424$	−1.08842	+	10.1426i	−0.0528582	+	0.492569i
$425$	−15.2473	−	2.19224i	−0.739604	−	0.106339i
$426$	−7.34525	−	4.12439i	−0.355879	−	0.199827i
$427$	23.3452	+	15.0030i	1.12975	+	0.726048i
$428$	10.7030	+	0.253366i	0.517347	+	0.0122469i
$429$	2.01239	+	4.40652i	0.0971590	+	0.212749i
$430$	2.90077	+	14.1381i	0.139887	+	0.681799i
$431$	−8.68040	−	2.54879i	−0.418120	−	0.122771i	0.0659037	−	0.997826i	$-0.479007\pi$
$431$	−8.68040	−	2.54879i	−0.418120	−	0.122771i	−0.484024	+	0.875055i	$0.660825\pi$
$432$	20.0927	+	14.3000i	0.966710	+	0.688007i
$433$	8.64141	+	29.4300i	0.415280	+	1.41431i	0.856143	+	0.516739i	$0.172854\pi$
$433$	8.64141	+	29.4300i	0.415280	+	1.41431i	−0.440863	+	0.897574i	$0.645328\pi$
$434$	11.8229	+	12.1061i	0.567516	+	0.581109i
$435$	−29.2371	+	4.20366i	−1.40181	+	0.201550i
$436$	−17.1887	−	15.6214i	−0.823190	−	0.748131i
$437$	−7.65505	+	11.5264i	−0.366191	+	0.551382i
$438$	8.07290	+	3.12035i	0.385738	+	0.149096i
$439$	15.5033	−	2.22904i	0.739934	−	0.106386i	0.237967	−	0.971273i	$-0.423519\pi$
$439$	15.5033	−	2.22904i	0.739934	−	0.106386i	0.501967	+	0.864887i	$0.332610\pi$
$440$	−0.282202	−	7.85793i	−0.0134535	−	0.374612i
$441$	−91.9395	+	26.9959i	−4.37807	+	1.28552i
$442$	−7.02883	+	3.73074i	−0.334327	+	0.177453i
$443$	1.84283	+	0.541103i	0.0875553	+	0.0257086i	0.325217	−	0.945639i	$-0.394563\pi$
$443$	1.84283	+	0.541103i	0.0875553	+	0.0257086i	−0.237662	+	0.971348i	$0.576381\pi$
$444$	34.2800	+	5.75983i	1.62686	+	0.273349i
$445$	3.86080	−	1.76317i	0.183019	−	0.0835822i
$446$	22.3799	−	8.04691i	1.05972	−	0.381032i
$447$	−0.980458	−	0.630102i	−0.0463741	−	0.0298028i
$448$	28.6191	+	28.5965i	1.35213	+	1.35106i
$449$	−0.675575	+	4.69872i	−0.0318823	+	0.221747i	−0.999533	−	0.0305459i	$-0.990275\pi$
$449$	−0.675575	+	4.69872i	−0.0318823	+	0.221747i	0.967651	+	0.252292i	$0.0811845\pi$
$450$	11.1511	+	15.2695i	0.525668	+	0.719811i
$451$	−7.58379	+	6.57139i	−0.357107	+	0.309435i
$452$	−10.9804	−	3.50847i	−0.516476	−	0.165025i
$453$	−30.9517	−	48.1618i	−1.45424	−	2.26284i
$454$	7.82049	−	10.1933i	0.367034	−	0.478393i
$455$	5.61517	+	4.86557i	0.263243	+	0.228101i
$456$	17.0566	−	15.8865i	0.798747	−	0.743955i
$457$	34.4422	+	15.7292i	1.61114	+	0.735783i	0.998509	−	0.0545870i	$-0.0173842\pi$
$457$	34.4422	+	15.7292i	1.61114	+	0.735783i	0.612630	+	0.790370i	$0.290112\pi$
$458$	−1.89406	+	8.23634i	−0.0885034	+	0.384859i
$459$			36.6439i			1.71039i
$460$	13.2902	+	6.70278i	0.619657	+	0.312519i
$461$			26.0410i			1.21285i	0.795140	+	0.606426i	$0.207397\pi$
$461$			26.0410i			1.21285i	−0.795140	+	0.606426i	$0.792603\pi$
$462$	35.6645	+	8.20154i	1.65926	+	0.381570i
$463$	−18.5165	−	8.45622i	−0.860536	−	0.392994i	−0.0642646	−	0.997933i	$-0.520470\pi$
$463$	−18.5165	−	8.45622i	−0.860536	−	0.392994i	−0.796272	+	0.604939i	$0.793197\pi$
$464$	−24.7433	+	9.91330i	−1.14868	+	0.460214i
$465$	−7.92584	−	6.86778i	−0.367552	−	0.318485i
$466$	−14.3684	−	11.0238i	−0.665603	−	0.510666i
$467$	−19.9073	−	30.9763i	−0.921199	−	1.43341i	−0.901098	−	0.433616i	$-0.857237\pi$
$467$	−19.9073	−	30.9763i	−0.921199	−	1.43341i	−0.0201018	−	0.999798i	$-0.506399\pi$
$468$	9.30411	+	2.97285i	0.430083	+	0.137420i
$469$	−40.3316	+	34.9476i	−1.86234	+	1.61373i
$470$	−7.55326	+	5.51604i	−0.348406	+	0.254436i
$471$	−2.10011	+	14.6066i	−0.0967680	+	0.673036i
$472$	8.10087	−	2.69801i	0.372873	−	0.124186i
$473$	9.91072	+	6.36923i	0.455695	+	0.292858i
$474$	−10.6432	−	29.6008i	−0.488859	−	1.35961i
$475$	6.80201	−	3.10637i	0.312098	−	0.142530i
$476$	−9.96093	+	59.2832i	−0.456558	+	2.71724i
$477$	17.8509	+	5.24149i	0.817336	+	0.239991i
$478$	9.90295	+	18.6575i	0.452950	+	0.853373i
$479$	8.41142	−	2.46982i	0.384328	−	0.112849i	−0.0838606	−	0.996477i	$-0.526725\pi$
$479$	8.41142	−	2.46982i	0.384328	−	0.112849i	0.468188	+	0.883629i	$0.344907\pi$
$480$	−19.1493	−	16.1872i	−0.874040	−	0.738841i
$481$	5.70211	−	0.819839i	0.259994	−	0.0373815i
$482$	−2.83547	+	7.33586i	−0.129152	+	0.334139i
$483$	−46.1485	+	51.6664i	−2.09983	+	2.35090i
$484$	11.5311	+	10.4797i	0.524139	+	0.476348i
$485$	1.11784	−	0.160720i	0.0507583	−	0.00729794i
$486$	−12.5444	+	12.2509i	−0.569023	+	0.555713i
$487$	4.41486	+	15.0356i	0.200056	+	0.681330i	0.997009	+	0.0772876i	$0.0246260\pi$
$487$	4.41486	+	15.0356i	0.200056	+	0.681330i	−0.796952	+	0.604042i	$0.793556\pi$
$488$	−15.0391	−	3.83535i	−0.680790	−	0.173618i
$489$	42.1350	+	12.3720i	1.90541	+	0.559480i
$490$	39.9340	−	8.19341i	1.80403	−	0.370140i
$491$	−10.6783	−	23.3822i	−0.481905	−	1.05522i	−0.981935	−	0.189217i	$-0.939405\pi$
$491$	−10.6783	−	23.3822i	−0.481905	−	1.05522i	0.500031	−	0.866008i	$-0.333322\pi$
$492$	−0.757308	+	31.9910i	−0.0341421	+	1.44226i
$493$	−33.3187	−	21.4126i	−1.50060	−	0.964377i
$494$	1.89129	−	3.36825i	0.0850931	−	0.151545i
$495$	−14.1947	−	2.04089i	−0.638004	−	0.0917312i
$496$	−8.41306	−	4.33443i	−0.377758	−	0.194622i
$497$	−7.97046	+	6.90645i	−0.357524	+	0.309796i
$498$	−32.3732	+	1.93062i	−1.45068	+	0.0865131i
$499$	−5.08585	+	3.26848i	−0.227674	+	0.146317i	−0.649505	−	0.760357i	$-0.725024\pi$
$499$	−5.08585	+	3.26848i	−0.227674	+	0.146317i	0.421831	+	0.906674i	$0.361388\pi$
$500$	−12.2662	−	20.1180i	−0.548560	−	0.899703i
$501$	−52.0015	−	45.0596i	−2.32326	−	2.01311i
$502$	3.46955	−	41.5880i	0.154854	−	1.85616i
$503$	−2.18735	+	4.78963i	−0.0975291	+	0.213559i	−0.952108	−	0.305763i	$-0.901088\pi$
$503$	−2.18735	+	4.78963i	−0.0975291	+	0.213559i	0.854578	+	0.519322i	$0.173816\pi$
$504$	60.6020	−	42.0945i	2.69943	−	1.87504i
$505$		−	10.2111i		−	0.454389i
$506$	11.4939	−	3.93845i	0.510967	−	0.175086i
$507$	−34.5720			−1.53539
$508$	−12.2445	−	8.28496i	−0.543261	−	0.367585i
$509$	−16.0937	−	7.34974i	−0.713340	−	0.325771i	0.0254791	−	0.999675i	$-0.491889\pi$
$509$	−16.0937	−	7.34974i	−0.713340	−	0.325771i	−0.738819	+	0.673904i	$0.764616\pi$
$510$	3.09745	−	37.1278i	0.137157	−	1.64405i
$511$	7.09582	−	8.18901i	0.313901	−	0.362261i
$512$	−20.2400	−	10.1164i	−0.894491	−	0.447087i
$513$	−9.61714	−	14.9646i	−0.424607	−	0.660701i
$514$	−1.57607	−	26.4280i	−0.0695174	−	1.16569i
$515$	3.09522	+	3.57207i	0.136392	+	0.157404i
$516$	36.2867	−	9.72811i	1.59743	−	0.428256i
$517$	−1.08651	+	7.55685i	−0.0477847	+	0.332350i
$518$	21.3068	−	37.9459i	0.936168	−	1.66725i
$519$	36.9500	−	57.4953i	1.62192	−	2.52376i
$520$	−3.83947	−	1.58947i	−0.168372	−	0.0697029i
$521$	4.77483	−	2.18059i	0.209189	−	0.0955335i	−0.308065	−	0.951365i	$-0.599681\pi$
$521$	4.77483	−	2.18059i	0.209189	−	0.0955335i	0.517254	+	0.855832i	$0.326954\pi$
$522$	9.77087	+	47.6224i	0.427659	+	2.08438i
$523$	4.60996	−	15.7001i	0.201580	−	0.686517i	−0.795201	−	0.606345i	$-0.792635\pi$
$523$	4.60996	−	15.7001i	0.201580	−	0.686517i	0.996781	−	0.0801719i	$-0.0255469\pi$
$524$	24.1015	−	2.88491i	1.05288	−	0.126028i
$525$	35.9217	−	10.5476i	1.56775	−	0.460334i
$526$	−6.07130	+	5.92928i	−0.264721	+	0.258529i
$527$	−2.00125	−	13.9190i	−0.0871758	−	0.606321i
$528$	−20.3742	+	1.95092i	−0.886672	+	0.0849028i
$529$	−3.95682	+	22.6571i	−0.172036	+	0.985091i
$530$	−7.38276	−	2.85359i	−0.320686	−	0.123952i
$531$	−2.21618	−	15.4139i	−0.0961741	−	0.668905i
$532$	−11.4910	−	26.8241i	−0.498196	−	1.16297i
$533$	1.49409	+	5.08841i	0.0647163	+	0.220404i
$534$	−5.17964	−	9.75861i	−0.224145	−	0.422296i
$535$	−2.34034	+	7.97048i	−0.101182	+	0.344594i
$536$	15.2250	−	25.6720i	0.657622	−	1.10886i
$537$	−1.32388	−	2.89889i	−0.0571295	−	0.125096i
$538$	−19.1823	+	6.89715i	−0.827006	+	0.297357i
$539$	17.9903	−	27.9935i	0.774898	−	1.20576i
$540$	−14.7542	+	12.1854i	−0.634921	+	0.524376i
$541$	−23.8290	−	3.42610i	−1.02449	−	0.147299i	−0.390470	−	0.920616i	$-0.627687\pi$
$541$	−23.8290	−	3.42610i	−1.02449	−	0.147299i	−0.634021	+	0.773316i	$0.718597\pi$
$542$	−22.5270	+	16.4512i	−0.967619	+	0.706639i
$543$	9.01683	+	10.4060i	0.386949	+	0.446563i
$544$	−5.19140	−	33.2179i	−0.222580	−	1.42421i
$545$	15.1612	−	9.74348i	0.649433	−	0.417365i
$546$	11.7725	−	15.3443i	0.503816	−	0.656676i
$547$	4.35607	−	5.02717i	0.186252	−	0.214946i	−0.654943	−	0.755678i	$-0.727307\pi$
$547$	4.35607	−	5.02717i	0.186252	−	0.214946i	0.841195	+	0.540732i	$0.181853\pi$
$548$	−6.60924	+	13.6103i	−0.282333	+	0.581401i
$549$	−11.7590	+	25.7485i	−0.501860	+	1.09892i
$550$	−6.39912	−	1.47156i	−0.272859	−	0.0627477i
$551$	19.2263			0.819068
$552$	15.3570	−	35.5715i	0.653636	−	1.51402i
$553$	−39.3816			−1.67468
$554$	35.8324	+	8.24015i	1.52237	+	0.350090i
$555$	−11.2043	+	24.5341i	−0.475598	+	1.04141i
$556$	0.213663	+	0.103756i	0.00906134	+	0.00440025i
$557$	10.3521	−	11.9470i	0.438635	−	0.506211i	−0.492789	−	0.870149i	$-0.664022\pi$
$557$	10.3521	−	11.9470i	0.438635	−	0.506211i	0.931423	+	0.363938i	$0.118568\pi$
$558$	−10.5067	+	13.6944i	−0.444783	+	0.579731i
$559$	5.23766	−	3.36604i	0.221529	−	0.142368i
$560$	−27.1820	+	15.7031i	−1.14865	+	0.663577i
$561$	−19.9154	−	22.9836i	−0.840827	−	0.970367i
$562$	10.9396	−	7.98907i	0.461461	−	0.336999i
$563$	16.8778	+	2.42666i	0.711313	+	0.102271i	0.488467	−	0.872582i	$-0.337556\pi$
$563$	16.8778	+	2.42666i	0.711313	+	0.102271i	0.222846	+	0.974854i	$0.428465\pi$
$564$	15.5032	+	18.7715i	0.652803	+	0.790423i
$565$	4.83565	−	7.52442i	0.203437	−	0.316555i
$566$	−30.6012	+	11.0029i	−1.28626	+	0.462487i
$567$	−4.48501	−	9.82079i	−0.188353	−	0.412435i
$568$	3.00882	−	5.07338i	0.126247	−	0.212874i
$569$	6.28352	−	21.3997i	0.263419	−	0.897122i	−0.716477	−	0.697611i	$-0.754246\pi$
$569$	6.28352	−	21.3997i	0.263419	−	0.897122i	0.979896	−	0.199511i	$-0.0639354\pi$
$570$	8.47920	+	15.9751i	0.355155	+	0.669123i
$571$	9.12923	+	31.0913i	0.382046	+	1.30113i	0.896283	+	0.443482i	$0.146257\pi$
$571$	9.12923	+	31.0913i	0.382046	+	1.30113i	−0.514237	+	0.857648i	$0.671925\pi$
$572$	−3.11794	+	1.33567i	−0.130368	+	0.0558470i
$573$	8.19383	+	56.9893i	0.342302	+	2.38076i
$574$	37.3682	+	14.4436i	1.55972	+	0.602865i
$575$	8.28021	−	9.27026i	0.345309	−	0.386596i
$576$	−24.7181	+	33.0467i	−1.02992	+	1.37695i
$577$	−2.92744	−	20.3608i	−0.121871	−	0.847632i	−0.955433	−	0.295206i	$-0.904612\pi$
$577$	−2.92744	−	20.3608i	−0.121871	−	0.847632i	0.833562	−	0.552425i	$-0.186298\pi$
$578$	18.5400	−	18.1063i	0.771161	−	0.753122i
$579$	64.9900	−	19.0828i	2.70089	−	0.793054i
$580$	−2.45810	−	20.5358i	−0.102067	−	0.852703i
$581$	−11.4388	+	38.9571i	−0.474563	+	1.61621i
$582$	−0.590831	−	2.87966i	−0.0244907	−	0.119366i
$583$	−5.87697	+	2.68392i	−0.243399	+	0.111157i
$584$	−2.31804	+	5.59938i	−0.0959212	+	0.231704i
$585$	−4.09742	+	6.37571i	−0.169407	+	0.263603i
$586$	−3.54555	+	6.31437i	−0.146465	+	0.260844i
$587$	−0.369212	+	2.56793i	−0.0152390	+	0.105990i	−0.996021	−	0.0891159i	$-0.971596\pi$
$587$	−0.369212	+	2.56793i	−0.0152390	+	0.105990i	0.980782	+	0.195106i	$0.0625049\pi$
$588$	−27.4777	−	102.494i	−1.13316	−	4.22678i
$589$	4.47028	+	5.15898i	0.184195	+	0.212572i
$590$	0.394395	+	6.61333i	0.0162370	+	0.272266i
$591$	−21.2369	−	33.0453i	−0.873570	−	1.35930i
$592$	−4.59997	+	23.9008i	−0.189058	+	0.982318i
$593$	−23.6073	+	27.2443i	−0.969437	+	1.11879i	0.0234490	+	0.999725i	$0.492535\pi$
$593$	−23.6073	+	27.2443i	−0.969437	+	1.11879i	−0.992886	+	0.119065i	$0.962010\pi$
$594$	−1.29860	+	15.5657i	−0.0532821	+	0.638670i
$595$	−42.4287	−	19.3766i	−1.73941	−	0.794362i
$596$	0.457323	−	0.675886i	0.0187327	−	0.0276854i
$597$	32.3239			1.32293
$598$	0.630059	−	6.39007i	0.0257650	−	0.261310i
$599$			26.2291i			1.07169i	0.844316	+	0.535846i	$0.180007\pi$
$599$			26.2291i			1.07169i	−0.844316	+	0.535846i	$0.819993\pi$
$600$	−17.1972	+	11.9452i	−0.702071	+	0.487662i
$601$	−6.19230	+	13.5592i	−0.252589	+	0.553093i	−0.992870	−	0.119205i	$-0.961965\pi$
$601$	−6.19230	+	13.5592i	−0.252589	+	0.553093i	0.740280	+	0.672298i	$0.234693\pi$
$602$	3.91026	−	46.8707i	0.159370	−	1.91031i
$603$	−41.1398	−	35.6479i	−1.67534	−	1.45169i
$604$	34.2265	−	20.8683i	1.39266	−	0.849120i
$605$	−10.1709	+	6.53642i	−0.413505	+	0.265743i
$606$	−26.5324	+	1.58229i	−1.07781	+	0.0642763i
$607$	10.7092	−	9.27954i	0.434671	−	0.376645i	−0.409862	−	0.912147i	$-0.634423\pi$
$607$	10.7092	−	9.27954i	0.434671	−	0.376645i	0.844534	+	0.535502i	$0.179878\pi$
$608$	10.8380	+	12.2030i	0.439540	+	0.494896i
$609$	95.2789	+	13.6990i	3.86089	+	0.555113i
$610$	5.89611	−	10.5006i	0.238727	−	0.425155i
$611$	3.39424	+	2.18135i	0.137316	+	0.0882479i
$612$	−61.3016	−	1.45117i	−2.47797	−	0.0586599i
$613$	15.0550	+	32.9658i	0.608065	+	1.33148i	0.923890	+	0.382659i	$0.124992\pi$
$613$	15.0550	+	32.9658i	0.608065	+	1.33148i	−0.315825	+	0.948818i	$0.602281\pi$
$614$	18.2446	−	3.74332i	0.736294	−	0.151068i
$615$	−23.8236	−	6.99525i	−0.960661	−	0.282076i
$616$	−6.33213	+	24.8295i	−0.255129	+	1.00041i
$617$	2.83232	+	9.64601i	0.114025	+	0.388334i	0.996654	−	0.0817367i	$-0.0260467\pi$
$617$	2.83232	+	9.64601i	0.114025	+	0.388334i	−0.882629	+	0.470070i	$0.844228\pi$
$618$	8.80197	−	8.59607i	0.354067	−	0.345785i
$619$	−33.9420	+	4.88013i	−1.36425	+	0.196149i	−0.785248	−	0.619181i	$-0.787465\pi$
$619$	−33.9420	+	4.88013i	−1.36425	+	0.196149i	−0.578997	+	0.815330i	$0.696556\pi$
$620$	4.93883	−	5.43433i	0.198348	−	0.218248i
$621$	−24.6312	−	16.3584i	−0.988417	−	0.656440i
$622$	−5.99520	+	15.5106i	−0.240386	+	0.621920i
$623$	−13.6909	+	1.96845i	−0.548513	+	0.0788642i
$624$	−3.53509	+	10.2227i	−0.141517	+	0.409236i
$625$	5.10804	−	1.49986i	0.204322	−	0.0599942i
$626$	−3.62297	−	6.82580i	−0.144803	−	0.272814i
$627$	14.1650	+	4.15921i	0.565695	+	0.166103i
$628$	−10.1899	−	1.71214i	−0.406622	−	0.0683217i
$629$	−32.8968	+	15.0235i	−1.31168	+	0.599025i
$630$	19.3717	+	53.8762i	0.771786	+	2.14648i
$631$	−22.0076	−	14.1434i	−0.876109	−	0.563041i	0.0235068	−	0.999724i	$-0.492517\pi$
$631$	−22.0076	−	14.1434i	−0.876109	−	0.563041i	−0.899616	+	0.436683i	$0.856153\pi$
$632$	20.8971	−	6.95982i	0.831242	−	0.276847i
$633$	−8.40167	+	58.4349i	−0.333936	+	2.32258i
$634$	1.14530	−	0.836394i	0.0454855	−	0.0332174i
$635$	8.66939	−	7.51207i	0.344034	−	0.298107i
$636$	−6.27071	+	19.6254i	−0.248650	+	0.778198i
$637$	−9.50760	−	14.7941i	−0.376705	−	0.586164i
$638$	−13.3944	−	10.2765i	−0.530289	−	0.406850i
$639$	−8.13018	−	7.04484i	−0.321625	−	0.278690i
$640$	11.6485	−	13.1364i	0.460446	−	0.519261i
$641$	−13.6583	−	6.23754i	−0.539471	−	0.246368i	0.126995	−	0.991903i	$-0.459467\pi$
$641$	−13.6583	−	6.23754i	−0.539471	−	0.246368i	−0.666466	+	0.745535i	$0.732194\pi$
$642$	21.0730	+	4.84602i	0.831685	+	0.191257i
$643$			35.7644i			1.41041i	0.709003	+	0.705205i	$0.249145\pi$
$643$			35.7644i			1.41041i	−0.709003	+	0.705205i	$0.750855\pi$
$644$	−35.4021	−	33.1604i	−1.39504	−	1.30670i
$645$			29.1498i			1.14777i
$646$	−5.43492	+	23.6338i	−0.213834	+	0.929861i
$647$	1.09000	+	0.497786i	0.0428523	+	0.0195700i	0.436726	−	0.899595i	$-0.356138\pi$
$647$	1.09000	+	0.497786i	0.0428523	+	0.0195700i	−0.393874	+	0.919165i	$0.628865\pi$
$648$	4.11549	+	4.41860i	0.161672	+	0.173579i
$649$	4.08698	+	3.54139i	0.160428	+	0.139012i
$650$	−2.11228	+	2.75316i	−0.0828506	+	0.107988i
$651$	18.4773	+	28.7512i	0.724182	+	1.12685i
$652$	−9.35868	+	29.2898i	−0.366514	+	1.14708i
$653$	10.6665	−	9.24256i	0.417412	−	0.361689i	−0.420689	−	0.907205i	$-0.638212\pi$
$653$	10.6665	−	9.24256i	0.417412	−	0.361689i	0.838101	+	0.545516i	$0.183666\pi$
$654$	−27.6666	−	37.8846i	−1.08185	−	1.48141i
$655$	−2.68041	+	18.6427i	−0.104732	+	0.728429i
$656$	−22.3813	−	1.06024i	−0.873844	−	0.0413955i
$657$	9.29816	+	5.97556i	0.362756	+	0.233129i
$658$	28.6822	−	10.3129i	1.11815	−	0.402040i
$659$	−11.2336	+	5.13020i	−0.437598	+	0.199844i	−0.622017	−	0.783003i	$-0.713687\pi$
$659$	−11.2336	+	5.13020i	−0.437598	+	0.199844i	0.184420	+	0.982848i	$0.440959\pi$
$660$	2.63149	−	15.6615i	0.102431	−	0.609624i
$661$	19.0983	+	5.60776i	0.742836	+	0.218116i	0.631186	−	0.775631i	$-0.282568\pi$
$661$	19.0983	+	5.60776i	0.742836	+	0.218116i	0.111650	+	0.993748i	$0.464386\pi$
$662$	0.129307	−	0.0686329i	0.00502564	−	0.00266749i
$663$	−15.4210	+	4.52802i	−0.598903	+	0.175854i
$664$	−0.814991	−	22.6935i	−0.0316278	−	0.880677i
$665$	22.4123	−	3.22240i	0.869111	−	0.124959i
$666$	41.4054	+	16.0041i	1.60443	+	0.620145i
$667$	29.2670	−	12.8371i	1.13322	−	0.497056i
$668$	32.4037	−	35.6548i	1.25374	−	1.37952i
$669$	47.5453	−	6.83599i	1.83821	−	0.264295i
$670$	16.1810	+	16.5686i	0.625126	+	0.640099i
$671$	−2.76945	−	9.43188i	−0.106913	−	0.364114i
$672$	45.0147	+	68.1959i	1.73648	+	2.63071i
$673$	−12.3190	−	3.61717i	−0.474861	−	0.139432i	0.0355402	−	0.999368i	$-0.488685\pi$
$673$	−12.3190	−	3.61717i	−0.474861	−	0.139432i	−0.510401	+	0.859937i	$0.670503\pi$
$674$	1.02144	+	4.97841i	0.0393444	+	0.191761i
$675$	6.63814	+	14.5355i	0.255502	+	0.559472i
$676$	0.572890	−	24.2006i	0.0220342	−	0.930793i
$677$	10.7903	+	6.93450i	0.414704	+	0.266514i	0.731313	−	0.682042i	$-0.238908\pi$
$677$	10.7903	+	6.93450i	0.414704	+	0.266514i	−0.316609	+	0.948556i	$0.602544\pi$
$678$	−20.3006	−	11.3989i	−0.779641	−	0.437772i
$679$	−3.64284	−	0.523762i	−0.139799	−	0.0201001i
$680$	25.9384	+	2.78348i	0.994693	+	0.106742i
$681$	19.6107	−	16.9928i	0.751484	−	0.651165i
$682$	−0.356833	−	5.98348i	−0.0136638	−	0.229119i
$683$	40.3338	−	25.9210i	1.54333	−	0.991838i	0.556359	−	0.830942i	$-0.312198\pi$
$683$	40.3338	−	25.9210i	1.54333	−	0.991838i	0.986971	−	0.160897i	$-0.0514386\pi$
$684$	25.4150	−	15.4959i	0.971769	−	0.592500i
$685$	−8.87234	−	7.68793i	−0.338995	−	0.293741i
$686$	−82.4990	−	6.88261i	−3.14982	−	0.262779i
$687$	−7.09084	+	15.5268i	−0.270532	+	0.592383i
$688$	6.20844	+	25.5621i	0.236694	+	0.974546i
$689$			3.41444i			0.130080i
$690$	23.5737	+	18.6565i	0.897436	+	0.710239i
$691$	16.9423			0.644515			0.322258	−	0.946652i	$-0.395558\pi$
$691$	16.9423			0.644515			0.322258	+	0.946652i	$0.395558\pi$
$692$	39.6348	+	26.8180i	1.50669	+	1.01947i
$693$	42.5106	+	19.4140i	1.61485	+	0.737475i
$694$	−14.2041	−	1.18500i	−0.539181	−	0.0449821i
$695$	−0.120690	+	0.139284i	−0.00457804	+	0.00528335i
$696$	−52.9790	+	9.56928i	−2.00816	+	0.362722i
$697$	−17.9994	−	28.0077i	−0.681777	−	1.06087i
$698$	−17.4218	+	1.03897i	−0.659427	+	0.0393258i
$699$	−23.9530	−	27.6432i	−0.905986	−	1.04556i
$700$	6.78812	+	25.3202i	0.256567	+	0.957015i
$701$	6.72785	−	46.7932i	0.254107	−	1.76735i	−0.318885	−	0.947793i	$-0.603308\pi$
$701$	6.72785	−	46.7932i	0.254107	−	1.76735i	0.572992	−	0.819561i	$-0.305783\pi$
$702$	7.19776	+	4.04157i	0.271662	+	0.152539i
$703$	9.49143	−	14.7690i	0.357976	−	0.557022i
$704$	−1.02804	−	14.2944i	−0.0387456	−	0.538740i
$705$	−17.1833	+	7.84736i	−0.647162	+	0.295549i
$706$	−17.6119	+	3.61351i	−0.662834	+	0.135996i
$707$	−9.37504	+	31.9285i	−0.352585	+	1.20079i
$708$	17.1228	−	2.04958i	0.643516	−	0.0770277i
$709$	−21.7974	+	6.40031i	−0.818620	+	0.240369i	−0.664122	−	0.747625i	$-0.731194\pi$
$709$	−21.7974	+	6.40031i	−0.818620	+	0.240369i	−0.154498	+	0.987993i	$0.549376\pi$
$710$	3.19773	+	3.27433i	0.120009	+	0.122883i
$711$	−5.71689	−	39.7618i	−0.214400	−	1.49119i
$712$	6.91693	−	3.46408i	0.259223	−	0.129822i
$713$	10.2494	+	4.86846i	0.383844	+	0.182325i
$714$	−43.7730	+	113.249i	−1.63816	+	4.23822i
$715$	−0.374560	−	2.60512i	−0.0140077	−	0.0974260i
$716$	2.05118	−	0.878686i	0.0766561	−	0.0328380i
$717$	12.0193	+	40.9339i	0.448868	+	1.52870i
$718$	−23.0350	+	12.2264i	−0.859659	+	0.456287i
$719$	−11.8548	+	40.3738i	−0.442110	+	1.50569i	0.373800	+	0.927509i	$0.378055\pi$
$719$	−11.8548	+	40.3738i	−0.442110	+	1.50569i	−0.815910	+	0.578179i	$0.803764\pi$
$720$	−19.8006	−	25.1649i	−0.737926	−	0.937841i
$721$	−6.39863	−	14.0110i	−0.238297	−	0.521798i
$722$	5.10838	+	14.2073i	0.190114	+	0.528743i
$723$	−8.58788	+	13.3630i	−0.319387	+	0.496976i
$724$	−7.43367	+	6.13940i	−0.276270	+	0.228169i
$725$	−17.0954	−	2.45795i	−0.634909	−	0.0912861i
$726$	18.5602	+	25.4149i	0.688833	+	0.943237i
$727$	−5.67584	−	6.55027i	−0.210505	−	0.242936i	0.640672	−	0.767815i	$-0.278656\pi$
$727$	−5.67584	−	6.55027i	−0.210505	−	0.242936i	−0.851177	+	0.524879i	$0.824111\pi$
$728$	10.5460	+	8.49510i	0.390862	+	0.314849i
$729$	−35.1801	+	22.6089i	−1.30297	+	0.837365i
$730$	−3.73074	−	2.86231i	−0.138081	−	0.105939i
$731$	−25.5958	+	29.5391i	−0.946695	+	1.09254i
$732$	−28.1981	−	13.6932i	−1.04223	−	0.506115i
$733$	−5.47637	+	11.9916i	−0.202274	+	0.442919i	−0.983399	−	0.181456i	$-0.941919\pi$
$733$	−5.47637	+	11.9916i	−0.202274	+	0.442919i	0.781125	+	0.624375i	$0.214646\pi$
$734$	10.2099	−	44.3981i	0.376855	−	1.63876i
$735$	82.3356			3.03699
$736$	24.6458	+	11.3394i	0.908458	+	0.417977i
$737$	18.9040			0.696338
$738$	−9.15846	+	39.8257i	−0.337128	+	1.46601i
$739$	12.4623	−	27.2886i	0.458432	−	1.00383i	−0.529410	−	0.848366i	$-0.677587\pi$
$739$	12.4623	−	27.2886i	0.458432	−	1.00383i	0.987842	−	0.155461i	$-0.0496862\pi$
$740$	−16.9884	−	8.24967i	−0.624505	−	0.303264i
$741$	5.10922	−	5.89636i	0.187692	−	0.216608i
$742$	20.4647	+	15.7010i	0.751282	+	0.576400i
$743$	13.1475	−	8.44939i	0.482335	−	0.309978i	−0.276781	−	0.960933i	$-0.589268\pi$
$743$	13.1475	−	8.44939i	0.482335	−	0.309978i	0.759116	+	0.650955i	$0.225631\pi$
$744$	−14.8858	−	11.9909i	−0.545739	−	0.439607i
$745$	0.414660	+	0.478544i	0.0151920	+	0.0175325i
$746$	24.4537	+	33.4850i	0.895312	+	1.22597i
$747$	−40.9938	−	5.89402i	−1.49989	−	0.215651i
$748$	16.4187	−	13.5600i	0.600326	−	0.495804i
$749$	14.6357	−	22.7736i	0.534778	−	0.832130i
$750$	−16.1021	−	44.7828i	−0.587964	−	1.63524i
$751$	−16.9947	−	37.2132i	−0.620145	−	1.35793i	−0.915414	−	0.402513i	$-0.868137\pi$
$751$	−16.9947	−	37.2132i	−0.620145	−	1.35793i	0.295270	−	0.955414i	$-0.404591\pi$
$752$	−13.3971	+	10.5413i	−0.488541	+	0.384401i
$753$	23.7467	−	80.8737i	0.865376	−	2.94720i
$754$	−7.88078	+	4.18294i	−0.287001	+	0.152334i
$755$	8.76303	+	29.8441i	0.318919	+	1.08614i
$756$	57.3216	−	24.5555i	2.08477	−	0.893075i
$757$	−2.54318	−	17.6882i	−0.0924336	−	0.642890i	−0.982390	−	0.186844i	$-0.940174\pi$
$757$	−2.54318	−	17.6882i	−0.0924336	−	0.642890i	0.889956	−	0.456046i	$-0.150735\pi$
$758$	−3.52946	+	9.13134i	−0.128196	+	0.331665i
$759$	24.3395	−	3.12644i	0.883469	−	0.113483i
$760$	−11.3232	+	5.67078i	−0.410735	+	0.205701i
$761$	−3.72667	−	25.9195i	−0.135092	−	0.939583i	−0.938776	−	0.344527i	$-0.888039\pi$
$761$	−3.72667	−	25.9195i	−0.135092	−	0.939583i	0.803685	−	0.595055i	$-0.202870\pi$
$762$	−20.8626	−	21.3623i	−0.755772	−	0.773875i
$763$	−56.3520	+	16.5465i	−2.04008	+	0.599022i
$764$	−40.0287	+	4.79137i	−1.44819	+	0.173346i
$765$	13.4044	−	45.6513i	0.484638	−	1.65052i
$766$	−8.39207	+	1.72183i	−0.303218	+	0.0622123i
$767$	2.59969	−	1.18724i	0.0938695	−	0.0428688i
$768$	−35.9383	−	28.2316i	−1.29681	−	1.01872i
$769$	−25.1988	+	39.2101i	−0.908692	+	1.41395i	0.00160673	+	0.999999i	$0.499489\pi$
$769$	−25.1988	+	39.2101i	−0.908692	+	1.41395i	−0.910298	+	0.413953i	$0.864148\pi$
$770$	−17.3363	−	9.73444i	−0.624759	−	0.350805i
$771$	7.60986	−	52.9277i	0.274062	−	1.90615i
$772$	12.2811	+	45.8097i	0.442008	+	1.64873i
$773$	−8.58697	−	9.90989i	−0.308852	−	0.356434i	0.580010	−	0.814609i	$-0.303049\pi$
$773$	−8.58697	−	9.90989i	−0.308852	−	0.356434i	−0.888862	+	0.458175i	$0.848503\pi$
$774$	47.8909	−	2.85604i	1.72140	−	0.102658i
$775$	−3.31530	−	5.15870i	−0.119089	−	0.185306i
$776$	2.02557	−	0.365867i	0.0727138	−	0.0131339i
$777$	57.5593	−	66.4270i	2.06493	−	2.38305i
$778$	12.9008	+	1.07627i	0.462517	+	0.0385862i
$779$	14.7011	+	6.71378i	0.526722	+	0.240546i
$780$	−6.95118	−	4.70336i	−0.248892	−	0.168407i
$781$	3.73587			0.133680
$782$	7.50675	+	39.6052i	0.268441	+	1.41628i
$783$			41.0855i			1.46828i
$784$	72.2019	−	17.5361i	2.57864	−	0.626291i
$785$	3.33055	−	7.29288i	0.118872	−	0.260294i
$786$	48.8561	+	4.07590i	1.74264	+	0.145383i
$787$	−14.4910	−	12.5565i	−0.516547	−	0.447591i	0.357160	−	0.934043i	$-0.383745\pi$
$787$	−14.4910	−	12.5565i	−0.516547	−	0.447591i	−0.873707	+	0.486453i	$0.838291\pi$
$788$	23.4838	−	14.3184i	0.836577	−	0.510072i
$789$	−14.4190	+	9.26654i	−0.513331	+	0.329898i
$790$	1.01739	+	17.0598i	0.0361969	+	0.606962i
$791$	−22.0286	+	19.0879i	−0.783246	+	0.678687i
$792$	−25.9885	−	2.78885i	−0.923460	−	0.0990976i
$793$	−5.14215	−	0.739330i	−0.182603	−	0.0262544i
$794$	24.3207	+	13.6562i	0.863110	+	0.484640i
$795$	−13.4484	−	8.64279i	−0.476967	−	0.306528i
$796$	−0.535638	+	22.6270i	−0.0189852	+	0.801991i
$797$	17.1629	+	37.5815i	0.607941	+	1.33120i	0.923974	+	0.382456i	$0.124922\pi$
$797$	17.1629	+	37.5815i	0.607941	+	1.33120i	−0.316033	+	0.948748i	$0.602351\pi$
$798$	−11.8460	−	57.7363i	−0.419343	−	2.04384i
$799$	−24.3034	−	7.13613i	−0.859793	−	0.252458i
$800$	−8.07678	−	12.2361i	−0.285557	−	0.432611i
$801$	−3.97491	−	13.5373i	−0.140447	−	0.478317i
$802$	0.0489974	+	0.0501710i	0.00173016	+	0.00177160i
$803$	−3.79924	+	0.546248i	−0.134072	+	0.0192767i
$804$	40.5440	−	44.6118i	1.42988	−	1.57334i
$805$	31.9653	−	19.8696i	1.12663	−	0.700313i
$806$	−2.95475	−	1.14208i	−0.104077	−	0.0402279i
$807$	−40.7520	+	5.85925i	−1.43454	+	0.206255i
$808$	−0.667950	−	18.5991i	−0.0234984	−	0.654313i
$809$	33.4662	−	9.82656i	1.17661	−	0.345483i	0.365743	−	0.930716i	$-0.380815\pi$
$809$	33.4662	−	9.82656i	1.17661	−	0.345483i	0.810866	+	0.585233i	$0.198997\pi$
$810$	−4.13844	+	2.19658i	−0.145410	+	0.0771801i
$811$	14.0562	+	4.12727i	0.493579	+	0.144928i	0.519044	−	0.854748i	$-0.326288\pi$
$811$	14.0562	+	4.12727i	0.493579	+	0.144928i	−0.0254643	+	0.999676i	$0.508106\pi$
$812$	−11.1683	+	66.4689i	−0.391930	+	2.33260i
$813$	−51.2480	+	23.4042i	−1.79735	+	0.820821i
$814$	−14.5064	+	5.21591i	−0.508450	+	0.182818i
$815$	−20.0710	−	12.8989i	−0.703058	−	0.451828i
$816$	3.21318	−	67.8292i	0.112484	−	2.37450i
$817$	2.70025	−	18.7807i	0.0944699	−	0.657053i
$818$	12.7124	+	17.4075i	0.444480	+	0.608638i
$819$	18.6656	−	16.1738i	0.652229	−	0.565159i
$820$	5.29150	−	16.5608i	0.184787	−	0.578328i
$821$	19.8827	+	30.9380i	0.693910	+	1.07975i	0.992126	+	0.125247i	$0.0399722\pi$
$821$	19.8827	+	30.9380i	0.693910	+	1.07975i	−0.298216	+	0.954499i	$0.596391\pi$
$822$	−18.6013	+	24.2450i	−0.648796	+	0.845642i
$823$	−20.5637	−	17.8186i	−0.716806	−	0.621116i	0.218135	−	0.975919i	$-0.430003\pi$
$823$	−20.5637	−	17.8186i	−0.716806	−	0.621116i	−0.934941	+	0.354802i	$0.884548\pi$
$824$	5.87145	+	6.30389i	0.204542	+	0.219606i
$825$	−12.0633	−	5.50914i	−0.419991	−	0.191804i
$826$	4.83863	−	21.0409i	0.168357	−	0.732105i
$827$			51.2196i			1.78108i	0.454903	+	0.890541i	$0.349674\pi$
$827$			51.2196i			1.78108i	−0.454903	+	0.890541i	$0.650326\pi$
$828$	28.3414	−	40.5577i	0.984932	−	1.40948i
$829$		−	28.0969i		−	0.975846i	−0.872887	−	0.487923i	$-0.837755\pi$
$829$		−	28.0969i		−	0.975846i	0.872887	−	0.487923i	$-0.162245\pi$
$830$	17.1715	+	3.94881i	0.596031	+	0.137065i
$831$	67.5497	+	30.8489i	2.34327	+	1.07014i
$832$	−7.09738	−	2.64399i	−0.246057	−	0.0916638i
$833$	83.4353	+	72.2971i	2.89086	+	2.50494i
$834$	0.380615	+	0.292016i	0.0131796	+	0.0101117i
$835$	20.2110	+	31.4490i	0.699431	+	1.08834i
$836$	−3.14620	+	9.84666i	−0.108814	+	0.340554i
$837$	−11.0244	+	9.55273i	−0.381060	+	0.330191i
$838$	−32.3500	+	23.6248i	−1.11751	+	0.816104i
$839$	1.77813	−	12.3672i	0.0613878	−	0.426962i	−0.935832	−	0.352446i	$-0.885350\pi$
$839$	1.77813	−	12.3672i	0.0613878	−	0.426962i	0.997220	−	0.0745153i	$-0.0237410\pi$
$840$	−60.1542	+	20.0345i	−2.07552	+	0.691254i
$841$	−12.9609	−	8.32945i	−0.446927	−	0.287222i
$842$	16.6890	+	46.4151i	0.575140	+	1.59957i
$843$	24.8872	−	11.3656i	0.857161	−	0.391452i
$844$	−40.7656	−	6.84955i	−1.40321	−	0.235771i
$845$	18.0222	+	5.29179i	0.619981	+	0.182043i
$846$	14.5762	+	27.4620i	0.501140	+	0.944163i
$847$	37.8038	−	11.1002i	1.29895	−	0.381408i
$848$	−13.6340	−	4.71475i	−0.468194	−	0.161905i
$849$	−65.0110	+	9.34718i	−2.23117	+	0.320794i
$850$	7.85399	−	20.3197i	0.269390	−	0.696959i
$851$	4.58720	−	28.8192i	0.157247	−	0.987909i
$852$	8.01244	−	8.81632i	0.274502	−	0.302042i
$853$	−44.0942	+	6.33980i	−1.50976	+	0.217070i	−0.846931	−	0.531702i	$-0.821553\pi$
$853$	−44.0942	+	6.33980i	−1.50976	+	0.217070i	−0.662827	+	0.748773i	$0.730643\pi$
$854$	−28.0769	+	27.4201i	−0.960772	+	0.938298i
$855$	6.50703	+	22.1609i	0.222536	+	0.757887i
$856$	−3.74145	+	14.6709i	−0.127880	+	0.501443i
$857$	−27.7333	−	8.14322i	−0.947350	−	0.278167i	−0.228667	−	0.973505i	$-0.573437\pi$
$857$	−27.7333	−	8.14322i	−0.947350	−	0.278167i	−0.718683	+	0.695338i	$0.755255\pi$
$858$	−6.71105	+	1.37693i	−0.229112	+	0.0470077i
$859$	−10.7736	−	23.5909i	−0.367591	−	0.804911i	−0.999553	−	0.0299119i	$-0.990477\pi$
$859$	−10.7736	−	23.5909i	−0.367591	−	0.804911i	0.631962	−	0.775000i	$-0.282250\pi$
$860$	−20.4051	−	0.483040i	−0.695807	−	0.0164715i
$861$	68.0700	+	43.7459i	2.31982	+	1.49086i
$862$	6.26406	−	11.1558i	0.213355	−	0.379970i
$863$	−18.7725	−	2.69908i	−0.639023	−	0.0918776i	−0.184815	−	0.982773i	$-0.559169\pi$
$863$	−18.7725	−	2.69908i	−0.639023	−	0.0918776i	−0.454208	+	0.890896i	$0.650078\pi$
$864$	−26.0770	+	23.1602i	−0.887159	+	0.787928i
$865$	−28.0624	+	24.3162i	−0.954149	+	0.826775i
$866$	−43.3004	+	2.58228i	−1.47141	+	0.0877493i
$867$	44.0314	−	28.2973i	1.49539	−	0.961026i
$868$	−20.4323	+	12.4578i	−0.693516	+	0.422845i
$869$	10.5428	+	9.13541i	0.357641	+	0.309898i
$870$	3.47289	−	41.6281i	0.117742	−	1.41132i
$871$	4.15019	−	9.08765i	0.140624	−	0.307923i
$872$	26.9780	−	18.7390i	0.913589	−	0.634584i
$873$		−	3.75405i		−	0.127055i
$874$	−13.4599	−	14.2037i	−0.455288	−	0.480448i
$875$	−59.5801			−2.01417
$876$	−6.85925	+	10.1374i	−0.231753	+	0.342512i
$877$	13.4336	+	6.13494i	0.453622	+	0.207162i	0.629105	−	0.777320i	$-0.283422\pi$
$877$	13.4336	+	6.13494i	0.453622	+	0.207162i	−0.175483	+	0.984482i	$0.556149\pi$
$878$	−1.84154	+	22.0738i	−0.0621491	+	0.744955i
$879$	−9.57812	+	11.0537i	−0.323062	+	0.372834i
$880$	10.9196	+	2.10159i	0.368098	+	0.0708445i
$881$	5.64865	+	8.78948i	0.190308	+	0.296125i	0.923275	−	0.384139i	$-0.125502\pi$
$881$	5.64865	+	8.78948i	0.190308	+	0.296125i	−0.732967	+	0.680264i	$0.761865\pi$
$882$	−8.06706	−	135.271i	−0.271632	−	4.55481i
$883$	19.5356	+	22.5453i	0.657427	+	0.758711i	0.982355	−	0.187028i	$-0.0598854\pi$
$883$	19.5356	+	22.5453i	0.657427	+	0.758711i	−0.324928	+	0.945739i	$0.605340\pi$
$884$	−2.91410	−	10.8699i	−0.0980119	−	0.365593i
$885$	−1.90429	+	13.2446i	−0.0640119	+	0.445213i
$886$	−1.32984	+	2.36836i	−0.0446770	+	0.0795665i
$887$	−2.24655	+	3.49570i	−0.0754317	+	0.117374i	−0.876920	−	0.480637i	$-0.840406\pi$
$887$	−2.24655	+	3.49570i	−0.0754317	+	0.117374i	0.801488	+	0.598011i	$0.204042\pi$
$888$	−18.8033	+	45.4206i	−0.630998	+	1.52422i
$889$	−34.0047	+	15.5294i	−1.14048	+	0.520840i
$890$	1.20641	+	5.87993i	0.0404389	+	0.197096i
$891$	−1.07747	+	3.66952i	−0.0360965	+	0.122933i
$892$	3.99737	+	33.3953i	0.133842	+	1.11816i
$893$	11.7978	−	3.46416i	0.394799	−	0.115924i
$894$	1.17918	−	1.15160i	0.0394378	−	0.0385153i
$895$	0.246409	+	1.71381i	0.00823655	+	0.0572865i
$896$	−48.4835	+	30.3805i	−1.61972	+	1.01494i
$897$	3.84054	−	12.3870i	0.128232	−	0.413591i
$898$	−6.26185	−	2.42034i	−0.208961	−	0.0807678i
$899$	−2.24382	−	15.6061i	−0.0748356	−	0.520493i
$900$	−24.5793	+	10.5293i	−0.819311	+	0.350977i
$901$	−6.03901	−	20.5670i	−0.201189	−	0.685186i
$902$	−6.65332	−	12.5351i	−0.221531	−	0.417372i
$903$	26.7630	−	91.1465i	0.890618	−	3.03317i
$904$	8.31571	−	14.0217i	0.276576	−	0.466355i
$905$	−3.10762	−	6.80474i	−0.103301	−	0.226197i
$906$	76.1885	−	27.3943i	2.53119	−	0.910113i
$907$	18.8527	−	29.3354i	0.625994	−	0.974066i	−0.372938	−	0.927856i	$-0.621650\pi$
$907$	18.8527	−	29.3354i	0.625994	−	0.974066i	0.998932	−	0.0462092i	$-0.0147141\pi$
$908$	11.5701	+	14.0092i	0.383967	+	0.464912i
$909$	−33.5977	−	4.83062i	−1.11437	−	0.160222i
$910$	−8.48562	+	6.19693i	−0.281296	+	0.205426i
$911$	3.03578	+	3.50347i	0.100580	+	0.116075i	0.803808	−	0.594889i	$-0.202804\pi$
$911$	3.03578	+	3.50347i	0.100580	+	0.116075i	−0.703228	+	0.710964i	$0.748259\pi$
$912$	16.4895	+	28.5432i	0.546020	+	0.945160i
$913$	12.0992	−	7.77571i	0.400427	−	0.257339i
$914$	−32.5949	+	42.4844i	−1.07814	+	1.40526i
$915$	15.9281	−	18.3820i	0.526565	−	0.607689i
$916$	−10.7513	−	5.22093i	−0.355234	−	0.172504i
$917$	25.4974	−	55.8315i	0.841998	−	1.84372i
$918$	−50.5042	−	11.6141i	−1.66689	−	0.383323i
$919$	−9.64342			−0.318107			−0.159054	−	0.987270i	$-0.550844\pi$
$919$	−9.64342			−0.318107			−0.159054	+	0.987270i	$0.550844\pi$
$920$	−13.4503	+	16.1926i	−0.443443	+	0.533855i
$921$	37.6167			1.23951
$922$	−35.8908	−	8.25357i	−1.18200	−	0.271817i
$923$	0.820174	−	1.79593i	0.0269963	−	0.0591137i
$924$	−22.6074	+	46.5549i	−0.743728	+	1.53154i
$925$	−10.3276	+	11.9187i	−0.339569	+	0.391884i
$926$	17.5234	−	22.8401i	0.575855	−	0.750572i
$927$	13.2175	−	8.49434i	0.434118	−	0.278991i
$928$	−5.82065	−	37.2442i	−0.191072	−	1.22260i
$929$	−20.5715	−	23.7408i	−0.674930	−	0.778910i	0.310210	−	0.950668i	$-0.399601\pi$
$929$	−20.5715	−	23.7408i	−0.674930	−	0.778910i	−0.985139	+	0.171758i	$0.945055\pi$
$930$	11.9775	−	8.74700i	0.392758	−	0.286825i
$931$	−53.0473	−	7.62705i	−1.73855	−	0.249966i
$932$	19.7474	−	16.3092i	0.646847	−	0.534225i
$933$	−18.1579	+	28.2542i	−0.594462	+	0.925001i
$934$	49.0024	−	17.6192i	1.60341	−	0.576519i
$935$	6.86377	+	15.0296i	0.224469	+	0.491519i
$936$	−7.04619	+	11.8811i	−0.230312	+	0.388345i
$937$	−3.56682	+	12.1475i	−0.116523	+	0.396840i	−0.997014	−	0.0772224i	$-0.975395\pi$
$937$	−3.56682	+	12.1475i	−0.116523	+	0.396840i	0.880491	+	0.474063i	$0.157213\pi$
$938$	−35.3832	−	66.6631i	−1.15530	−	2.17663i
$939$	−4.39723	−	14.9756i	−0.143498	−	0.488709i
$940$	−5.20846	−	12.1585i	−0.169881	−	0.396566i
$941$	4.53269	+	31.5255i	0.147761	+	1.02770i	0.919873	+	0.392216i	$0.128292\pi$
$941$	4.53269	+	31.5255i	0.147761	+	1.02770i	−0.772112	+	0.635487i	$0.780799\pi$
$942$	−19.4658	−	7.52394i	−0.634229	−	0.245143i
$943$	26.8613	+	0.404241i	0.874725	+	0.0131639i
$944$	1.15097	+	12.0201i	0.0374610	+	0.391220i
$945$	6.88608	+	47.8937i	0.224004	+	1.55798i
$946$	−11.9195	+	11.6407i	−0.387536	+	0.378470i
$947$	−14.9139	+	4.37912i	−0.484637	+	0.142302i	−0.514919	−	0.857239i	$-0.672178\pi$
$947$	−14.9139	+	4.37912i	−0.484637	+	0.142302i	0.0302813	+	0.999541i	$0.490360\pi$
$948$	44.1703	−	5.28711i	1.43458	−	0.171717i
$949$	−0.571490	+	1.94632i	−0.0185513	+	0.0631801i
$950$	2.12547	+	10.3594i	0.0689593	+	0.336102i
$951$	2.60550	−	1.18989i	0.0844891	−	0.0385849i
$952$	−78.5494	−	32.5181i	−2.54580	−	1.05392i
$953$	−10.5180	+	16.3663i	−0.340712	+	0.530158i	−0.968755	−	0.248021i	$-0.920220\pi$
$953$	−10.5180	+	16.3663i	−0.340712	+	0.530158i	0.628043	+	0.778179i	$0.283856\pi$
$954$	−12.8818	+	22.9415i	−0.417063	+	0.742760i
$955$	4.45172	−	30.9624i	0.144054	−	1.00192i
$956$	−28.8532	+	7.73526i	−0.933178	+	0.250176i
$957$	−22.3293	−	25.7694i	−0.721803	−	0.833005i
$958$	0.738045	+	12.3758i	0.0238451	+	0.399843i
$959$	20.6839	+	32.1847i	0.667917	+	1.03930i
$960$	28.3791	−	21.2618i	0.915931	−	0.686223i
$961$	−16.6348	+	19.1976i	−0.536607	+	0.619277i
$962$	−0.677317	+	8.11872i	−0.0218376	+	0.261758i
$963$	25.1181	+	11.4711i	0.809421	+	0.369650i
$964$	−9.21189	−	6.23302i	−0.296695	−	0.200752i
$965$	−36.7999			−1.18463
$966$	−56.5822	−	79.9791i	−1.82050	−	2.57328i
$967$			52.0426i			1.67358i	0.547527	+	0.836788i	$0.315569\pi$
$967$			52.0426i			1.67358i	−0.547527	+	0.836788i	$0.684431\pi$
$968$	−18.0982	+	12.5711i	−0.581698	+	0.404051i
$969$	−20.3469	+	44.5534i	−0.653636	+	1.43126i
$970$	−0.132781	+	1.59159i	−0.00426333	+	0.0511027i
$971$	−14.6900	−	12.7290i	−0.471426	−	0.408493i	0.386482	−	0.922297i	$-0.373690\pi$
$971$	−14.6900	−	12.7290i	−0.471426	−	0.408493i	−0.857907	+	0.513804i	$0.828236\pi$
$972$	−12.9088	−	21.1720i	−0.414051	−	0.679092i
$973$	0.505258	−	0.324709i	0.0161978	−	0.0104097i
$974$	−22.1220	+	1.31927i	−0.708834	+	0.0422723i
$975$	−5.29677	+	4.58968i	−0.169632	+	0.146987i
$976$	10.0526	−	19.5120i	0.321776	−	0.624563i
$977$	14.2751	+	2.05245i	0.456700	+	0.0656636i	0.366826	−	0.930290i	$-0.380444\pi$
$977$	14.2751	+	2.05245i	0.456700	+	0.0656636i	0.0898742	+	0.995953i	$0.471354\pi$
$978$	−30.4060	+	54.1510i	−0.972277	+	1.73156i
$979$	4.12180	+	2.64892i	0.131733	+	0.0846599i
$980$	−1.36438	+	57.6355i	−0.0435835	+	1.84110i
$981$	−24.8867	−	54.4942i	−0.794570	−	1.73987i
$982$	35.6107	−	7.30639i	1.13638	−	0.233156i
$983$	13.5418	+	3.97623i	0.431916	+	0.126822i	0.490462	−	0.871463i	$-0.336828\pi$
$983$	13.5418	+	3.97623i	0.431916	+	0.126822i	−0.0585456	+	0.998285i	$0.518646\pi$
$984$	−43.8512	−	11.1831i	−1.39792	−	0.356505i
$985$	6.01258	+	20.4770i	0.191577	+	0.652451i
$986$	40.0719	−	39.1346i	1.27615	−	1.24630i
$987$	60.9342	−	8.76101i	1.93956	−	0.278866i
$988$	4.04283	+	3.67420i	0.128619	+	0.116892i
$989$	−8.42917	−	30.3916i	−0.268032	−	0.966397i
$990$	7.31177	−	18.9169i	0.232383	−	0.601217i
$991$	48.2699	−	6.94017i	1.53334	−	0.220462i	0.676657	−	0.736298i	$-0.263428\pi$
$991$	48.2699	−	6.94017i	1.53334	−	0.220462i	0.856687	+	0.515836i	$0.172519\pi$
$992$	8.64036	−	10.2214i	0.274332	−	0.324531i
$993$	0.283694	−	0.0833002i	0.00900277	−	0.00264345i
$994$	−6.99254	−	13.1742i	−0.221790	−	0.417859i
$995$	−16.8503	−	4.94769i	−0.534189	−	0.156852i
$996$	7.59966	−	45.2299i	0.240804	−	1.43317i
$997$	43.6622	−	19.9399i	1.38280	−	0.631502i	0.421452	−	0.906851i	$-0.361521\pi$
$997$	43.6622	−	19.9399i	1.38280	−	0.631502i	0.961344	+	0.275349i	$0.0887933\pi$
$998$	−2.89281	−	8.04545i	−0.0915704	−	0.254674i
$999$	31.5604	+	20.2826i	0.998527	+	0.641714i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.j.a.43.10	✓	220
4.3	odd	2		736.2.r.a.687.22		220
8.3	odd	2	inner	184.2.j.a.43.15	yes	220
8.5	even	2		736.2.r.a.687.21		220
23.15	odd	22	inner	184.2.j.a.107.15	yes	220
92.15	even	22		736.2.r.a.15.21		220
184.61	odd	22		736.2.r.a.15.22		220
184.107	even	22	inner	184.2.j.a.107.10	yes	220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.j.a.43.10	✓	220	1.1	even	1	trivial
184.2.j.a.43.15	yes	220	8.3	odd	2	inner
184.2.j.a.107.10	yes	220	184.107	even	22	inner
184.2.j.a.107.15	yes	220	23.15	odd	22	inner
736.2.r.a.15.21		220	92.15	even	22
736.2.r.a.15.22		220	184.61	odd	22
736.2.r.a.687.21		220	8.5	even	2
736.2.r.a.687.22		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.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.316945 + 1.37824i) q^{2} +(-1.18656 + 2.59820i) q^{3} +(-1.79909 - 0.873652i) q^{4} +(1.01624 - 1.17280i) q^{5} +(-3.20486 - 2.45884i) q^{6} +(-4.25438 + 2.73413i) q^{7} +(1.77431 - 2.20268i) q^{8} +(-3.37812 - 3.89856i) q^{9} +O(q^{10})\)	\(q+(-0.316945 + 1.37824i) q^{2} +(-1.18656 + 2.59820i) q^{3} +(-1.79909 - 0.873652i) q^{4} +(1.01624 - 1.17280i) q^{5} +(-3.20486 - 2.45884i) q^{6} +(-4.25438 + 2.73413i) q^{7} +(1.77431 - 2.20268i) q^{8} +(-3.37812 - 3.89856i) q^{9} +(1.29431 + 1.77234i) q^{10} +(1.77318 + 0.254945i) q^{11} +(4.40464 - 3.63776i) q^{12} +(0.511843 - 0.796443i) q^{13} +(-2.41988 - 6.73013i) q^{14} +(1.84135 + 4.03199i) q^{15} +(2.47346 + 3.14356i) q^{16} +(-1.67446 + 5.70268i) q^{17} +(6.44383 - 3.42023i) q^{18} +(-0.812847 - 2.76830i) q^{19} +(-2.85293 + 1.22214i) q^{20} +(-2.05573 - 14.2979i) q^{21} +(-0.913375 + 2.36306i) q^{22} +(-3.08571 - 3.67130i) q^{23} +(3.61767 + 7.22362i) q^{24} +(0.368850 + 2.56541i) q^{25} +(0.935464 + 0.957871i) q^{26} +(5.91571 - 1.73701i) q^{27} +(10.0427 - 1.20209i) q^{28} +(-1.87742 + 6.39390i) q^{29} +(-6.14065 + 1.25990i) q^{30} +(-2.15218 + 0.982870i) q^{31} +(-5.11653 + 2.41269i) q^{32} +(-2.76637 + 4.30456i) q^{33} +(-7.32896 - 4.11524i) q^{34} +(-1.11688 + 7.76808i) q^{35} +(2.67157 + 9.96517i) q^{36} +(3.98474 + 4.59863i) q^{37} +(4.07302 - 0.242900i) q^{38} +(1.46198 + 2.27489i) q^{39} +(-0.780183 - 4.31938i) q^{40} +(-3.66827 + 4.23341i) q^{41} +(20.3575 + 1.69836i) q^{42} +(5.98202 + 2.73190i) q^{43} +(-2.96738 - 2.00781i) q^{44} -8.00523 q^{45} +(6.03793 - 3.08925i) q^{46} +4.26175i q^{47} +(-11.1025 + 2.69653i) q^{48} +(7.71643 - 16.8966i) q^{49} +(-3.65265 - 0.304729i) q^{50} +(-12.8298 - 11.1171i) q^{51} +(-1.61667 + 0.985702i) q^{52} +(-3.03402 + 1.94985i) q^{53} +(0.519063 + 8.70380i) q^{54} +(2.10098 - 1.82051i) q^{55} +(-1.52621 + 14.2223i) q^{56} +(8.15708 + 1.17281i) q^{57} +(-8.21729 - 4.61404i) q^{58} +(2.53954 + 1.63207i) q^{59} +(0.209801 - 8.86261i) q^{60} +(-2.27952 - 4.99144i) q^{61} +(-0.672507 - 3.27774i) q^{62} +(25.0310 + 7.34976i) q^{63} +(-1.70361 - 7.81650i) q^{64} +(-0.413916 - 1.40967i) q^{65} +(-5.05593 - 5.17703i) q^{66} +(10.4452 - 1.50179i) q^{67} +(7.99466 - 8.79676i) q^{68} +(13.2001 - 3.66107i) q^{69} +(-10.3523 - 4.00139i) q^{70} +(2.06420 - 0.296788i) q^{71} +(-14.5811 + 0.523653i) q^{72} +(-2.05582 + 0.603644i) q^{73} +(-7.60096 + 4.03441i) q^{74} +(-7.10309 - 2.08566i) q^{75} +(-0.956147 + 5.69058i) q^{76} +(-8.24084 + 3.76346i) q^{77} +(-3.59872 + 1.29395i) q^{78} +(6.55104 + 4.21010i) q^{79} +(6.20041 + 0.293724i) q^{80} +(-0.303823 + 2.11314i) q^{81} +(-4.67202 - 6.39752i) q^{82} +(6.06755 - 5.25756i) q^{83} +(-8.79295 + 27.5193i) q^{84} +(4.98647 + 7.75910i) q^{85} +(-5.66118 + 7.37880i) q^{86} +(-14.3849 - 12.4646i) q^{87} +(3.70774 - 3.45340i) q^{88} +(2.48788 + 1.13618i) q^{89} +(2.53721 - 11.0331i) q^{90} +4.78782i q^{91} +(2.34404 + 9.30083i) q^{92} -6.75803i q^{93} +(-5.87372 - 1.35074i) q^{94} +(-4.07272 - 1.85995i) q^{95} +(-0.197596 - 16.1565i) q^{96} +(0.549986 + 0.476566i) q^{97} +(20.8419 + 15.9904i) q^{98} +(-4.99610 - 7.77408i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9}+O(q^{10}) \) 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9	\( 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26} - 18 q^{27} - 11 q^{28} - 11 q^{30} - 11 q^{32} - 22 q^{33} + 11 q^{34} + 2 q^{35} - 41 q^{36} + 44 q^{38} - 99 q^{40} - 18 q^{41} + 99 q^{42} - 22 q^{43} - 88 q^{44} + 45 q^{46} - 100 q^{48} - 28 q^{49} + 14 q^{50} - 22 q^{51} - 118 q^{52} + 102 q^{54} - 66 q^{56} - 22 q^{57} + 43 q^{58} - 6 q^{59} - 33 q^{60} - 56 q^{62} + 18 q^{64} - 22 q^{65} + 22 q^{66} - 22 q^{67} - 10 q^{70} - 23 q^{72} - 18 q^{73} + 14 q^{75} + 44 q^{76} + 98 q^{78} + 88 q^{80} + 4 q^{81} + 14 q^{82} - 22 q^{83} + 143 q^{84} + 99 q^{86} + 77 q^{88} - 22 q^{89} + 176 q^{90} + 36 q^{92} + 111 q^{94} + 101 q^{96} - 22 q^{97} + 121 q^{98} - 22 q^{99}+O(q^{100}) \) 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

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