LMFDB - Embedded newform 184.2.p.a.101.3

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			101.3
Character	$\chi$	$=$	184.101
Dual form			184.2.p.a.133.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39422 - 0.236958i) q^{2} +(1.77342 - 1.53668i) q^{3} +(1.88770 + 0.660743i) q^{4} +(-3.72983 + 0.536269i) q^{5} +(-2.83666 + 1.72224i) q^{6} +(1.80644 - 3.95556i) q^{7} +(-2.47531 - 1.36853i) q^{8} +(0.356696 - 2.48088i) q^{9} +O(q^{10})$	\(q+(-1.39422 - 0.236958i) q^{2} +(1.77342 - 1.53668i) q^{3} +(1.88770 + 0.660743i) q^{4} +(-3.72983 + 0.536269i) q^{5} +(-2.83666 + 1.72224i) q^{6} +(1.80644 - 3.95556i) q^{7} +(-2.47531 - 1.36853i) q^{8} +(0.356696 - 2.48088i) q^{9} +(5.32728 + 0.136135i) q^{10} +(0.791572 - 2.69585i) q^{11} +(4.36303 - 1.72901i) q^{12} +(-1.31919 + 0.602452i) q^{13} +(-3.45588 + 5.08687i) q^{14} +(-5.79048 + 6.68257i) q^{15} +(3.12684 + 2.49457i) q^{16} +(0.426368 + 0.274010i) q^{17} +(-1.08518 + 3.37437i) q^{18} +(-1.09247 - 1.69992i) q^{19} +(-7.39515 - 1.45214i) 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} +(1.98199 - 0.527360i) q^{26} +(0.626221 + 0.974418i) q^{27} +(6.02363 - 6.27332i) q^{28} +(0.637426 - 0.991854i) q^{29} +(9.65670 - 7.94488i) q^{30} +(-5.28380 + 6.09783i) q^{31} +(-3.76839 - 4.21891i) q^{32} +(-2.73886 - 5.99726i) q^{33} +(-0.529523 - 0.483062i) q^{34} +(-4.61648 + 15.7223i) q^{35} +(2.31256 - 4.44747i) q^{36} +(1.78283 + 0.256332i) q^{37} +(1.12034 + 2.62893i) q^{38} +(-1.41370 + 3.09556i) q^{39} +(9.96637 + 3.77694i) q^{40} +(1.06252 + 7.38997i) q^{41} +(1.68815 + 14.3317i) q^{42} +(0.318514 - 0.275994i) q^{43} +(3.27551 - 4.56593i) q^{44} +9.44454i q^{45} +(-6.25065 + 2.63237i) q^{46} +11.5799 q^{47} +(9.37854 - 0.381020i) q^{48} +(-7.79917 - 9.00072i) q^{49} +(-12.9204 + 1.52190i) q^{50} +(1.17719 - 0.169255i) q^{51} +(-2.88830 + 0.265608i) q^{52} +(8.99787 + 4.10919i) q^{53} +(-0.642194 - 1.50694i) q^{54} +(-1.50673 + 10.4796i) q^{55} +(-9.88478 + 7.31904i) q^{56} +(-4.54963 - 1.33589i) q^{57} +(-1.12374 + 1.23182i) q^{58} +(-1.14788 + 0.524220i) q^{59} +(-15.3462 + 8.78869i) q^{60} +(6.78339 + 5.87784i) q^{61} +(8.81172 - 7.24969i) q^{62} +(-9.16890 - 5.89249i) q^{63} +(4.25427 + 6.77504i) q^{64} +(4.59726 - 2.95448i) q^{65} +(2.39747 + 9.01049i) 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} +(-4.27808 + 5.65278i) q^{72} +(-3.83656 + 2.46561i) q^{73} +(-2.42491 - 0.779837i) q^{74} +(11.6706 - 18.1598i) q^{75} +(-0.939052 - 3.93078i) q^{76} +(-9.23365 - 8.00100i) q^{77} +(2.70452 - 3.98091i) q^{78} +(-4.36275 - 9.55308i) q^{79} +(-13.0003 - 7.62750i) q^{80} +(9.82250 + 2.88415i) q^{81} +(0.269727 - 10.5550i) q^{82} +(9.43680 + 1.35681i) q^{83} +(1.04236 - 20.3816i) q^{84} +(-1.73723 - 0.793364i) q^{85} +(-0.509478 + 0.309322i) q^{86} +(-0.393735 - 2.73849i) q^{87} +(-5.64872 + 5.58976i) q^{88} +(-7.96093 - 9.18740i) q^{89} +(2.23796 - 13.1678i) q^{90} +6.30641i q^{91} +(9.33854 - 2.18897i) q^{92} +18.9335i q^{93} +(-16.1449 - 2.74394i) q^{94} +(4.98635 + 5.75455i) q^{95} +(-13.1660 - 1.69109i) q^{96} +(0.199115 + 1.38487i) q^{97} +(8.74097 + 14.3971i) 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 $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{11}\right)$

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 $

$2$	−1.39422	−	0.236958i	−0.985863	−	0.167554i
$2$	−1.39422	−	0.236958i	−0.985863	−	0.167554i
$3$	1.77342	−	1.53668i	1.02388	−	0.887200i	0.0302144	−	0.999543i	$-0.490381\pi$
$3$	1.77342	−	1.53668i	1.02388	−	0.887200i	0.993669	+	0.112343i	$0.0358355\pi$
$4$	1.88770	+	0.660743i	0.943851	+	0.330371i
$5$	−3.72983	+	0.536269i	−1.66803	+	0.239827i	−0.910660	−	0.413157i	$-0.864426\pi$
$5$	−3.72983	+	0.536269i	−1.66803	+	0.239827i	−0.757372	+	0.652984i	$0.773517\pi$
$6$	−2.83666	+	1.72224i	−1.15806	+	0.703102i
$7$	1.80644	−	3.95556i	0.682771	−	1.49506i	−0.176909	−	0.984227i	$-0.556610\pi$
$7$	1.80644	−	3.95556i	0.682771	−	1.49506i	0.859680	−	0.510833i	$-0.170663\pi$
$8$	−2.47531	−	1.36853i	−0.875153	−	0.483847i
$9$	0.356696	−	2.48088i	0.118899	−	0.826959i
$10$	5.32728	+	0.136135i	1.68463	+	0.0430498i
$11$	0.791572	−	2.69585i	0.238668	−	0.812828i	−0.749835	−	0.661625i	$-0.769867\pi$
$11$	0.791572	−	2.69585i	0.238668	−	0.812828i	0.988503	−	0.151203i	$-0.0483148\pi$
$12$	4.36303	−	1.72901i	1.25950	−	0.499123i
$13$	−1.31919	+	0.602452i	−0.365876	+	0.167090i	−0.589865	−	0.807502i	$-0.700819\pi$
$13$	−1.31919	+	0.602452i	−0.365876	+	0.167090i	0.223989	+	0.974592i	$0.428092\pi$
$14$	−3.45588	+	5.08687i	−0.923622	+	1.35952i
$15$	−5.79048	+	6.68257i	−1.49510	+	1.72543i
$16$	3.12684	+	2.49457i	0.781710	+	0.623643i
$17$	0.426368	+	0.274010i	0.103409	+	0.0664572i	0.591323	−	0.806434i	$-0.298606\pi$
$17$	0.426368	+	0.274010i	0.103409	+	0.0664572i	−0.487914	+	0.872892i	$0.662242\pi$
$18$	−1.08518	+	3.37437i	−0.255779	+	0.795346i
$19$	−1.09247	−	1.69992i	−0.250630	−	0.389988i	0.693028	−	0.720911i	$-0.256276\pi$
$19$	−1.09247	−	1.69992i	−0.250630	−	0.389988i	−0.943658	+	0.330923i	$0.892640\pi$
$20$	−7.39515	−	1.45214i	−1.65361	−	0.324709i
$21$	−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
$26$	1.98199	−	0.527360i	0.388700	−	0.103424i
$27$	0.626221	+	0.974418i	0.120516	+	0.187527i
$28$	6.02363	−	6.27332i	1.13836	−	1.18555i
$29$	0.637426	−	0.991854i	0.118367	−	0.184183i	−0.777014	−	0.629483i	$-0.783267\pi$
$29$	0.637426	−	0.991854i	0.118367	−	0.184183i	0.895381	+	0.445300i	$0.146903\pi$
$30$	9.65670	−	7.94488i	1.76306	−	1.45053i
$31$	−5.28380	+	6.09783i	−0.948999	+	1.09520i	0.0463554	+	0.998925i	$0.485239\pi$
$31$	−5.28380	+	6.09783i	−0.948999	+	1.09520i	−0.995354	+	0.0962782i	$0.969306\pi$
$32$	−3.76839	−	4.21891i	−0.666164	−	0.745805i
$33$	−2.73886	−	5.99726i	−0.476773	−	1.04399i
$34$	−0.529523	−	0.483062i	−0.0908124	−	0.0828444i
$35$	−4.61648	+	15.7223i	−0.780328	+	2.65755i
$36$	2.31256	−	4.44747i	0.385426	−	0.741245i
$37$	1.78283	+	0.256332i	0.293095	+	0.0421407i	0.287294	−	0.957843i	$-0.407244\pi$
$37$	1.78283	+	0.256332i	0.293095	+	0.0421407i	0.00580094	+	0.999983i	$0.498153\pi$
$38$	1.12034	+	2.62893i	0.181743	+	0.426469i
$39$	−1.41370	+	3.09556i	−0.226372	+	0.495686i
$40$	9.96637	+	3.77694i	1.57582	+	0.597187i
$41$	1.06252	+	7.38997i	0.165937	+	1.15412i	0.887175	+	0.461433i	$0.152664\pi$
$41$	1.06252	+	7.38997i	0.165937	+	1.15412i	−0.721238	+	0.692687i	$0.756427\pi$
$42$	1.68815	+	14.3317i	0.260487	+	2.21143i
$43$	0.318514	−	0.275994i	0.0485729	−	0.0420887i	−0.630236	−	0.776404i	$-0.717042\pi$
$43$	0.318514	−	0.275994i	0.0485729	−	0.0420887i	0.678809	+	0.734315i	$0.262496\pi$
$44$	3.27551	−	4.56593i	0.493802	−	0.688340i
$45$			9.44454i			1.40791i
$46$	−6.25065	+	2.63237i	−0.921608	+	0.388122i
$47$	11.5799			1.68910			0.844549	−	0.535479i	$-0.179869\pi$
$47$	11.5799			1.68910			0.844549	+	0.535479i	$0.179869\pi$
$48$	9.37854	−	0.381020i	1.35368	−	0.0549955i
$49$	−7.79917	−	9.00072i	−1.11417	−	1.28582i
$50$	−12.9204	+	1.52190i	−1.82721	+	0.215230i
$51$	1.17719	−	0.169255i	0.164840	−	0.0237004i
$52$	−2.88830	+	0.265608i	−0.400534	+	0.0368331i
$53$	8.99787	+	4.10919i	1.23595	+	0.564440i	0.922806	−	0.385265i	$-0.125890\pi$
$53$	8.99787	+	4.10919i	1.23595	+	0.564440i	0.313146	+	0.949705i	$0.398617\pi$
$54$	−0.642194	−	1.50694i	−0.0873915	−	0.205069i
$55$	−1.50673	+	10.4796i	−0.203168	+	1.41306i
$56$	−9.88478	+	7.31904i	−1.32091	+	0.978048i
$57$	−4.54963	−	1.33589i	−0.602614	−	0.176943i
$58$	−1.12374	+	1.23182i	−0.147554	+	0.161746i
$59$	−1.14788	+	0.524220i	−0.149441	+	0.0682476i	−0.488732	−	0.872434i	$-0.662540\pi$
$59$	−1.14788	+	0.524220i	−0.149441	+	0.0682476i	0.339290	+	0.940682i	$0.389813\pi$
$60$	−15.3462	+	8.78869i	−1.98118	+	1.13461i
$61$	6.78339	+	5.87784i	0.868524	+	0.752580i	0.970217	−	0.242236i	$-0.0778807\pi$
$61$	6.78339	+	5.87784i	0.868524	+	0.752580i	−0.101694	+	0.994816i	$0.532426\pi$
$62$	8.81172	−	7.24969i	1.11909	−	0.920711i
$63$	−9.16890	−	5.89249i	−1.15517	−	0.742384i
$64$	4.25427	+	6.77504i	0.531784	+	0.846880i
$65$	4.59726	−	2.95448i	0.570220	−	0.366458i
$66$	2.39747	+	9.01049i	0.295108	+	1.10911i
$67$	0.439020	+	1.49516i	0.0536348	+	0.182663i	0.981954	−	0.189122i	$-0.0605640\pi$
$67$	0.439020	+	1.49516i	0.0536348	+	0.182663i	−0.928319	+	0.371785i	$0.878746\pi$
$68$	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	−0.499902	−	0.866082i	$-0.666631\pi$
$71$	−3.81036	+	1.11882i	−0.452206	+	0.132780i	0.0476954	+	0.998862i	$0.484812\pi$
$72$	−4.27808	+	5.65278i	−0.504176	+	0.666187i
$73$	−3.83656	+	2.46561i	−0.449036	+	0.288578i	−0.745549	−	0.666451i	$-0.767813\pi$
$73$	−3.83656	+	2.46561i	−0.449036	+	0.288578i	0.296513	+	0.955029i	$0.404176\pi$
$74$	−2.42491	−	0.779837i	−0.281890	−	0.0906542i
$75$	11.6706	−	18.1598i	1.34761	−	2.09692i
$76$	−0.939052	−	3.93078i	−0.107717	−	0.450892i
$77$	−9.23365	−	8.00100i	−1.05227	−	0.911798i
$78$	2.70452	−	3.98091i	0.306227	−	0.450749i
$79$	−4.36275	−	9.55308i	−0.490847	−	1.07481i	−0.979337	−	0.202236i	$-0.935179\pi$
$79$	−4.36275	−	9.55308i	−0.490847	−	1.07481i	0.488490	−	0.872570i	$-0.337548\pi$
$80$	−13.0003	−	7.62750i	−1.45348	−	0.852781i
$81$	9.82250	+	2.88415i	1.09139	+	0.320461i
$82$	0.269727	−	10.5550i	0.0297864	−	1.16561i
$83$	9.43680	+	1.35681i	1.03582	+	0.148929i	0.639191	−	0.769048i	$-0.279269\pi$
$83$	9.43680	+	1.35681i	1.03582	+	0.148929i	0.396633	+	0.917977i	$0.370179\pi$
$84$	1.04236	−	20.3816i	0.113731	−	2.22381i
$85$	−1.73723	−	0.793364i	−0.188429	−	0.0860524i
$86$	−0.509478	+	0.309322i	−0.0549384	+	0.0333551i
$87$	−0.393735	−	2.73849i	−0.0422129	−	0.293597i
$88$	−5.64872	+	5.58976i	−0.602156	+	0.595870i
$89$	−7.96093	−	9.18740i	−0.843857	−	0.973862i	0.156047	−	0.987750i	$-0.450125\pi$
$89$	−7.96093	−	9.18740i	−0.843857	−	0.973862i	−0.999904	+	0.0138873i	$0.995579\pi$
$90$	2.23796	−	13.1678i	0.235901	−	1.38801i
$91$			6.30641i			0.661091i
$92$	9.33854	−	2.18897i	0.973611	−	0.228216i
$93$			18.9335i			1.96331i
$94$	−16.1449	−	2.74394i	−1.66522	−	0.283016i
$95$	4.98635	+	5.75455i	0.511589	+	0.590405i
$96$	−13.1660	−	1.69109i	−1.34375	−	0.172596i
$97$	0.199115	+	1.38487i	0.0202170	+	0.140613i	0.997430	−	0.0716491i	$-0.0228262\pi$
$97$	0.199115	+	1.38487i	0.0202170	+	0.140613i	−0.977213	+	0.212262i	$0.931917\pi$
$98$	8.74097	+	14.3971i	0.882971	+	1.45432i
$99$	−6.40571	−	2.92539i	−0.643799	−	0.294013i
$100$	18.3744	+	0.939708i	1.83744	+	0.0939708i
$101$	−9.73250	−	1.39932i	−0.968420	−	0.139238i	−0.360086	−	0.932919i	$-0.617253\pi$
$101$	−9.73250	−	1.39932i	−0.968420	−	0.139238i	−0.608334	+	0.793681i	$0.708162\pi$
$102$	−1.68138	−	0.0429665i	−0.166481	−	0.00425432i
$103$	−1.82521	−	0.535931i	−0.179844	−	0.0528069i	0.190571	−	0.981673i	$-0.438966\pi$
$103$	−1.82521	−	0.535931i	−0.179844	−	0.0528069i	−0.370414	+	0.928867i	$0.620784\pi$
$104$	4.08986	+	0.314088i	0.401044	+	0.0307989i
$105$	15.9731	+	34.9763i	1.55882	+	3.41333i
$106$	−11.5713	−	7.86123i	−1.12390	−	0.763550i
$107$	−13.1018	−	11.3528i	−1.26660	−	1.09752i	−0.990662	−	0.136341i	$-0.956466\pi$
$107$	−13.1018	−	11.3528i	−1.26660	−	1.09752i	−0.275939	−	0.961175i	$-0.588989\pi$
$108$	0.538278	+	2.25318i	0.0517958	+	0.216813i
$109$	5.22510	−	8.13042i	0.500474	−	0.778753i	−0.495480	−	0.868619i	$-0.665008\pi$
$109$	5.22510	−	8.13042i	0.500474	−	0.778753i	0.995954	+	0.0898667i	$0.0286441\pi$
$110$	4.58393	−	14.2538i	0.437060	−	1.35904i
$111$	3.55560	−	2.28504i	0.337482	−	0.216887i
$112$	15.5159	−	7.86209i	1.46611	−	0.742898i
$113$	−14.5526	+	4.27304i	−1.36900	+	0.401974i	−0.881926	−	0.471389i	$-0.843753\pi$
$113$	−14.5526	+	4.27304i	−1.36900	+	0.401974i	−0.487071	+	0.873362i	$0.661935\pi$
$114$	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
$118$	1.72462	−	0.458879i	0.158764	−	0.0422432i
$119$	1.85407	−	1.19154i	0.169963	−	0.109228i
$120$	23.4785	−	8.61698i	2.14328	−	0.786619i
$121$	2.61278	+	1.67913i	0.237526	+	0.152649i
$122$	−8.06474	−	9.80238i	−0.730147	−	0.887466i
$123$	13.2403	+	11.4728i	1.19384	+	1.03447i
$124$	−14.0033	+	8.01966i	−1.25754	+	0.720187i
$125$	−14.3935	+	6.57331i	−1.28740	+	0.587935i
$126$	11.3872	+	10.3881i	1.01445	+	0.925443i
$127$	3.89512	+	1.14371i	0.345636	+	0.101488i	0.449943	−	0.893057i	$-0.351444\pi$
$127$	3.89512	+	1.14371i	0.345636	+	0.101488i	−0.104307	+	0.994545i	$0.533262\pi$
$128$	−4.32599	−	10.4540i	−0.382367	−	0.924010i
$129$	0.140745	−	0.978906i	0.0123919	−	0.0861878i
$130$	−7.10969	+	3.02984i	−0.623561	+	0.265735i
$131$	12.1401	+	5.54421i	1.06069	+	0.484400i	0.867847	−	0.496831i	$-0.165503\pi$
$131$	12.1401	+	5.54421i	1.06069	+	0.484400i	0.192840	+	0.981230i	$0.438230\pi$
$132$	−1.20750	−	13.1307i	−0.105099	−	1.14288i
$133$	−8.69761	+	1.25053i	−0.754178	+	0.108434i
$134$	−0.257800	−	2.18862i	−0.0222705	−	0.189068i
$135$	−2.85825	−	3.29859i	−0.245999	−	0.283898i
$136$	−0.680401	−	1.26176i	−0.0583439	−	0.108195i
$137$	−10.9682			−0.937078			−0.468539	−	0.883443i	$-0.655219\pi$
$137$	−10.9682			−0.937078			−0.468539	+	0.883443i	$0.655219\pi$
$138$	−7.03991	+	14.2735i	−0.599277	+	1.21504i
$139$		−	2.34868i		−	0.199213i	−0.995027	−	0.0996063i	$-0.968242\pi$
$139$		−	2.34868i		−	0.199213i	0.995027	−	0.0996063i	$-0.0317583\pi$
$140$	−19.1029	+	26.6287i	−1.61449	+	2.25054i
$141$	20.5360	−	17.7945i	1.72944	−	1.49857i
$142$	5.57759	−	0.656991i	0.468061	−	0.0551335i
$143$	0.579888	+	4.03321i	0.0484926	+	0.337274i
$144$	7.30406	−	6.86750i	0.608671	−	0.572292i
$145$	−1.84559	+	4.04128i	−0.153268	+	0.335610i
$146$	5.93326	−	2.52850i	0.491040	−	0.209260i
$147$	−27.6624	−	3.97725i	−2.28155	−	0.328038i
$148$	3.19607	+	1.66187i	0.262716	+	0.136605i
$149$	3.50526	−	11.9378i	0.287162	−	0.977984i	−0.681958	−	0.731392i	$-0.738871\pi$
$149$	3.50526	−	11.9378i	0.287162	−	0.977984i	0.969119	−	0.246592i	$-0.0793107\pi$
$150$	−20.5745	+	22.5534i	−1.67990	+	1.84147i
$151$	−4.28382	−	9.38026i	−0.348613	−	0.763355i	−0.999989	−	0.00460069i	$-0.998536\pi$
$151$	−4.28382	−	9.38026i	−0.348613	−	0.763355i	0.651377	−	0.758754i	$-0.274192\pi$
$152$	0.377816	+	5.70289i	0.0306449	+	0.462566i
$153$	0.831870	−	0.960029i	0.0672527	−	0.0776137i
$154$	10.9778	+	13.3431i	0.884620	+	1.07522i
$155$	16.4376	−	25.5774i	1.32030	−	2.05443i
$156$	−4.71400	+	4.90941i	−0.377422	+	0.393067i
$157$	7.08344	+	11.0220i	0.565320	+	0.879655i	0.999779	−	0.0210369i	$-0.00669676\pi$
$157$	7.08344	+	11.0220i	0.565320	+	0.879655i	−0.434459	+	0.900692i	$0.643060\pi$
$158$	3.81895	+	14.3529i	0.303820	+	1.14185i
$159$	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	0.983091	+	0.183118i	$0.0586189\pi$
$163$	3.25643	+	11.0904i	0.255063	+	0.868665i	−0.728028	+	0.685547i	$0.759563\pi$
$164$	−2.87715	+	14.6521i	−0.224668	+	1.14414i
$165$	13.4316	+	20.9000i	1.04565	+	1.62706i
$166$	−12.8355	−	4.12781i	−0.996226	−	0.320380i
$167$	1.02800	+	0.660656i	0.0795491	+	0.0511231i	0.579811	−	0.814751i	$-0.303126\pi$
$167$	1.02800	+	0.660656i	0.0795491	+	0.0511231i	−0.500262	+	0.865874i	$0.666763\pi$
$168$	−6.28285	+	28.1694i	−0.484733	+	2.17332i
$169$	−7.13589	+	8.23525i	−0.548914	+	0.633481i
$170$	2.23408	+	1.51777i	0.171346	+	0.116408i
$171$	−4.60697	+	2.10393i	−0.352304	+	0.160892i
$172$	0.783620	−	0.310539i	0.0597505	−	0.0236783i
$173$	0.868642	−	2.95832i	0.0660417	−	0.224917i	−0.919859	−	0.392249i	$-0.871697\pi$
$173$	0.868642	−	2.95832i	0.0660417	−	0.224917i	0.985901	+	0.167332i	$0.0535152\pi$
$174$	−0.0999522	+	3.91136i	−0.00757736	+	0.296519i
$175$	5.69303	−	39.5959i	0.430353	−	2.99317i
$176$	9.20010	−	6.45485i	0.693483	−	0.486552i
$177$	−1.23012	+	2.69358i	−0.0924613	+	0.202462i
$178$	8.92226	+	14.6957i	0.668752	+	1.10149i
$179$	−0.900585	+	0.129485i	−0.0673129	+	0.00967813i	−0.175889	−	0.984410i	$-0.556280\pi$
$179$	−0.900585	+	0.129485i	−0.0673129	+	0.00967813i	0.108576	+	0.994088i	$0.465371\pi$
$180$	−6.24041	+	17.8285i	−0.465133	+	1.32886i
$181$	−19.0638	+	16.5189i	−1.41700	+	1.22784i	−0.480590	+	0.876945i	$0.659578\pi$
$181$	−19.0638	+	16.5189i	−1.41700	+	1.22784i	−0.936414	+	0.350896i	$0.885877\pi$
$182$	1.49435	−	8.79252i	0.110769	−	0.651745i
$183$	21.0621			1.55696
$184$	−13.5387	+	0.839068i	−0.998085	+	0.0618569i
$185$	−6.78710			−0.498998
$186$	4.48644	−	26.3975i	0.328962	−	1.93556i
$187$	1.07619	−	0.932525i	0.0786989	−	0.0681930i
$188$	21.8593	+	7.65131i	1.59426	+	0.558029i
$189$	4.98560	−	0.716821i	0.362649	−	0.0521410i
$190$	−5.58848	−	9.20467i	−0.405431	−	0.667777i
$191$	−5.86082	+	12.8334i	−0.424074	+	0.928592i	0.570177	+	0.821522i	$0.306874\pi$
$191$	−5.86082	+	12.8334i	−0.424074	+	0.928592i	−0.994251	+	0.107071i	$0.965853\pi$
$192$	17.9556	+	5.47755i	1.29584	+	0.395308i
$193$	2.43504	−	16.9361i	0.175278	−	1.21909i	−0.692235	−	0.721672i	$-0.743374\pi$
$193$	2.43504	−	16.9361i	0.175278	−	1.21909i	0.867513	−	0.497414i	$-0.165717\pi$
$194$	0.0505466	−	1.97800i	0.00362903	−	0.142012i
$195$	3.61279	−	12.3040i	0.258717	−	0.881111i
$196$	−8.77535	−	22.1439i	−0.626810	−	1.58171i
$197$	9.88574	−	4.51467i	0.704330	−	0.321657i	−0.0308544	−	0.999524i	$-0.509823\pi$
$197$	9.88574	−	4.51467i	0.704330	−	0.321657i	0.735184	+	0.677867i	$0.237096\pi$
$198$	8.23779	+	5.59653i	0.585434	+	0.397728i
$199$	−0.336842	+	0.388736i	−0.0238781	+	0.0275568i	−0.767563	−	0.640974i	$-0.778531\pi$
$199$	−0.336842	+	0.388736i	−0.0238781	+	0.0275568i	0.743685	+	0.668530i	$0.233076\pi$
$200$	−25.3954	−	5.66413i	−1.79572	−	0.400514i
$201$	3.07615	+	1.97692i	0.216975	+	0.139441i
$202$	13.2377	+	4.25716i	0.931399	+	0.299532i
$203$	−2.77186	−	4.31310i	−0.194546	−	0.302720i
$204$	2.33403	+	0.458320i	0.163415	+	0.0320888i
$205$	−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
$210$	−13.9822	−	52.5496i	−0.964861	−	3.62627i
$211$	−5.51272	−	8.57796i	−0.379511	−	0.590531i	0.597979	−	0.801512i	$-0.295971\pi$
$211$	−5.51272	−	8.57796i	−0.379511	−	0.590531i	−0.977490	+	0.210981i	$0.932334\pi$
$212$	14.2702	+	13.7022i	0.980080	+	0.941071i
$213$	−5.03809	+	7.83943i	−0.345204	+	0.537149i
$214$	15.5767	+	18.9329i	1.06480	+	1.29423i
$215$	−1.04000	+	1.20022i	−0.0709272	+	0.0818543i
$216$	−0.216570	−	3.26898i	−0.0147357	−	0.222426i
$217$	14.5754	+	31.9158i	0.989445	+	2.16658i
$218$	−9.21151	+	10.0975i	−0.623882	+	0.683887i
$219$	−3.01499	+	10.2681i	−0.203734	+	0.693855i
$220$	−9.76855	+	18.7867i	−0.658595	+	1.26660i
$221$	−0.727537	−	0.104604i	−0.0489394	−	0.00703643i
$222$	−5.49874	+	2.34333i	−0.369051	+	0.157274i
$223$	−2.09834	+	4.59472i	−0.140515	+	0.307685i	−0.966786	−	0.255588i	$-0.917731\pi$
$223$	−2.09834	+	4.59472i	−0.140515	+	0.307685i	0.826271	+	0.563273i	$0.190458\pi$
$224$	−23.4955	+	7.28488i	−1.56986	+	0.486742i
$225$	−3.28133	−	22.8222i	−0.218755	−	1.52148i
$226$	21.3021	−	2.50920i	1.41700	−	0.166910i
$227$	−2.43310	+	2.10829i	−0.161490	+	0.139932i	−0.731857	−	0.681458i	$-0.761346\pi$
$227$	−2.43310	+	2.10829i	−0.161490	+	0.139932i	0.570367	+	0.821390i	$0.306801\pi$
$228$	−7.70567	−	5.52791i	−0.510321	−	0.366095i
$229$		−	10.8110i		−	0.714408i	−0.934026	−	0.357204i	$-0.883730\pi$
$229$		−	10.8110i		−	0.714408i	0.934026	−	0.357204i	$-0.116270\pi$
$230$	21.9022	−	13.1703i	1.44419	−	0.868427i
$231$	−28.6701			−1.88635
$232$	−2.93520	+	1.58281i	−0.192705	+	0.103916i
$233$	16.9126	+	19.5182i	1.10798	+	1.27868i	0.956982	+	0.290148i	$0.0937046\pi$
$233$	16.9126	+	19.5182i	1.10798	+	1.27868i	0.151002	+	0.988533i	$0.451750\pi$
$234$	−0.601346	−	5.10518i	−0.0393112	−	0.333736i
$235$	−43.1910	+	6.20992i	−2.81747	+	0.405091i
$236$	−2.51323	+	0.231117i	−0.163597	+	0.0150444i
$237$	−22.4170	−	10.2375i	−1.45614	−	0.664996i
$238$	−2.86733	+	1.22193i	−0.185861	+	0.0792061i
$239$	−3.19587	+	22.2278i	−0.206724	+	1.43780i	0.577030	+	0.816723i	$0.304212\pi$
$239$	−3.19587	+	22.2278i	−0.206724	+	1.43780i	−0.783754	+	0.621072i	$0.786697\pi$
$240$	−34.7761	+	6.45056i	−2.24478	+	0.416382i
$241$	12.6543	+	3.71563i	0.815134	+	0.239345i	0.662619	−	0.748956i	$-0.269445\pi$
$241$	12.6543	+	3.71563i	0.815134	+	0.239345i	0.152514	+	0.988301i	$0.451263\pi$
$242$	−3.24491	−	2.96020i	−0.208591	−	0.190289i
$243$	18.6906	−	8.53569i	1.19900	−	0.547565i
$244$	8.92128	+	15.5777i	0.571126	+	0.997259i
$245$	33.9164	+	29.3887i	2.16684	+	1.87758i
$246$	−15.7413	−	19.1330i	−1.00363	−	1.21987i
$247$	2.46529	+	1.58435i	0.156863	+	0.100810i
$248$	21.4241	−	7.86297i	1.36043	−	0.499299i
$249$	18.8204	−	12.0951i	1.19269	−	0.766497i
$250$	21.6254	−	5.75399i	1.36771	−	0.363914i
$251$	5.77516	+	19.6684i	0.364525	+	1.24146i	0.913920	+	0.405894i	$0.133040\pi$
$251$	5.77516	+	19.6684i	0.364525	+	1.24146i	−0.549395	+	0.835563i	$0.685142\pi$
$252$	−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
$256$	3.55424	+	15.6002i	0.222140	+	0.975015i
$257$	7.33589	−	4.71449i	0.457600	−	0.294082i	−0.291461	−	0.956583i	$-0.594141\pi$
$257$	7.33589	−	4.71449i	0.457600	−	0.294082i	0.749061	+	0.662501i	$0.230505\pi$
$258$	−0.428189	+	1.33146i	−0.0266579	+	0.0828931i
$259$	4.23451	−	6.58902i	0.263119	−	0.409422i
$260$	10.6304	−	2.53957i	0.659271	−	0.157498i
$261$	−2.23330	−	1.93517i	−0.138238	−	0.119784i
$262$	−15.6123	−	10.6065i	−0.964529	−	0.655274i
$263$	−2.15069	−	4.70935i	−0.132617	−	0.290391i	0.831661	−	0.555284i	$-0.187391\pi$
$263$	−2.15069	−	4.70935i	−0.132617	−	0.290391i	−0.964278	+	0.264893i	$0.914663\pi$
$264$	−1.42790	+	18.5932i	−0.0878813	+	1.14433i
$265$	−35.7642	−	10.5013i	−2.19697	−	0.645090i
$266$	12.4227	+	0.317454i	0.761685	+	0.0194644i
$267$	−28.2361	−	4.05974i	−1.72802	−	0.248452i
$268$	−0.159180	+	3.11250i	−0.00972347	+	0.190126i
$269$	−3.85840	−	1.76207i	−0.235251	−	0.107435i	0.294302	−	0.955712i	$-0.404913\pi$
$269$	−3.85840	−	1.76207i	−0.235251	−	0.107435i	−0.529553	+	0.848277i	$0.677640\pi$
$270$	3.20340	+	5.27625i	0.194953	+	0.321102i
$271$	−0.393604	−	2.73758i	−0.0239097	−	0.166296i	0.974368	−	0.224960i	$-0.0722251\pi$
$271$	−0.393604	−	2.73758i	−0.0239097	−	0.166296i	−0.998278	+	0.0586639i	$0.981316\pi$
$272$	0.649647	+	1.92039i	0.0393906	+	0.116441i
$273$	9.69091	+	11.1839i	0.586520	+	0.676881i
$274$	15.2921	+	2.59900i	0.923830	+	0.157011i
$275$		−	25.8467i		−	1.55861i
$276$	13.1974	−	18.2323i	0.794391	−	1.09745i
$277$		−	6.75364i		−	0.405787i	−0.979201	−	0.202894i	$-0.934965\pi$
$277$		−	6.75364i		−	0.405787i	0.979201	−	0.202894i	$-0.0650345\pi$
$278$	−0.556538	+	3.27458i	−0.0333789	+	0.196396i
$279$	13.2433	+	15.2835i	0.792854	+	0.915002i
$280$	32.9436	−	32.5997i	1.96876	−	1.94821i
$281$	2.17338	+	15.1162i	0.129653	+	0.901755i	0.945994	+	0.324185i	$0.105090\pi$
$281$	2.17338	+	15.1162i	0.129653	+	0.901755i	−0.816341	+	0.577570i	$0.804001\pi$
$282$	−32.8482	+	19.9433i	−1.95608	+	1.18761i
$283$	6.08878	+	2.78065i	0.361940	+	0.165293i	0.588081	−	0.808802i	$-0.299884\pi$
$283$	6.08878	+	2.78065i	0.361940	+	0.165293i	−0.226141	+	0.974095i	$0.572611\pi$
$284$	−7.93207	−	0.405663i	−0.470682	−	0.0240717i
$285$	17.6858	+	2.54283i	1.04761	+	0.150624i
$286$	0.147208	−	5.76059i	0.00870460	−	0.340631i
$287$	31.1508	+	9.14671i	1.83878	+	0.539913i
$288$	−11.8108	+	7.84406i	−0.695956	+	0.462215i
$289$	−6.95535	−	15.2301i	−0.409138	−	0.895887i
$290$	3.53077	−	5.19711i	0.207334	−	0.305185i
$291$	2.48122	+	2.14999i	0.145451	+	0.126034i
$292$	−8.87142	+	2.11936i	−0.519161	+	0.124026i
$293$	4.65883	−	7.24928i	0.272172	−	0.423507i	−0.678081	−	0.734987i	$-0.737188\pi$
$293$	4.65883	−	7.24928i	0.272172	−	0.423507i	0.950253	+	0.311480i	$0.100825\pi$
$294$	37.6250	+	12.1000i	2.19434	+	0.705685i
$295$	4.00028	−	2.57082i	0.232905	−	0.149679i
$296$	−4.06224	−	3.07434i	−0.236113	−	0.178693i
$297$	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
$302$	3.74987	+	14.0932i	0.215781	+	0.810975i
$303$	−19.4101	+	12.4741i	−1.11508	+	0.716619i
$304$	0.824585	−	8.04062i	0.0472932	−	0.461161i
$305$	−28.4530	−	18.2856i	−1.62921	−	1.04703i
$306$	−1.38730	+	1.14137i	−0.0793064	+	0.0652480i
$307$	15.9592	+	13.8288i	0.910842	+	0.789250i	0.978024	−	0.208491i	$-0.0668553\pi$
$307$	15.9592	+	13.8288i	0.910842	+	0.789250i	−0.0671817	+	0.997741i	$0.521401\pi$
$308$	−12.1438	−	21.2046i	−0.691956	−	1.20824i
$309$	−4.06042	+	1.85433i	−0.230989	+	0.105489i
$310$	−28.9784	+	31.7656i	−1.64586	+	1.80416i
$311$	14.2023	+	4.17017i	0.805339	+	0.236469i	0.658392	−	0.752675i	$-0.271237\pi$
$311$	14.2023	+	4.17017i	0.805339	+	0.236469i	0.146947	+	0.989144i	$0.453055\pi$
$312$	7.73568	−	5.72778i	0.437947	−	0.324272i
$313$	0.312501	−	2.17349i	0.0176636	−	0.122853i	−0.979082	−	0.203467i	$-0.934779\pi$
$313$	0.312501	−	2.17349i	0.0176636	−	0.122853i	0.996745	+	0.0806140i	$0.0256881\pi$
$314$	−7.26411	−	17.0456i	−0.409938	−	0.961941i
$315$	37.3584	+	17.0610i	2.10491	+	0.961279i
$316$	−1.92344	−	20.9160i	−0.108202	−	1.17662i
$317$	−26.5488	+	3.81714i	−1.49113	+	0.214392i	−0.839173	−	0.543865i	$-0.816960\pi$
$317$	−26.5488	+	3.81714i	−1.49113	+	0.214392i	−0.651956	+	0.758257i	$0.726051\pi$
$318$	−32.6009	+	3.84010i	−1.82817	+	0.215342i
$319$	−2.16932	−	2.50353i	−0.121458	−	0.140171i
$320$	−19.5010	−	22.9883i	−1.09014	−	1.28509i
$321$	−40.6806			−2.27057
$322$	−0.878930	+	29.4800i	−0.0489809	+	1.64286i
$323$		−	1.02414i		−	0.0569847i
$324$	16.6363	+	11.9346i	0.924238	+	0.663031i
$325$	−10.0825	+	8.73656i	−0.559278	+	0.484617i
$326$	−1.91223	−	16.2341i	−0.105909	−	0.899122i
$327$	−3.22752	−	22.4479i	−0.178483	−	1.24137i
$328$	7.48332	−	19.7465i	0.413197	−	1.09032i
$329$	20.9184	−	45.8048i	1.15327	−	2.52530i
$330$	−13.7742	−	32.3219i	−0.758246	−	1.77926i
$331$	10.8132	+	1.55470i	0.594348	+	0.0854543i	0.432923	−	0.901431i	$-0.357482\pi$
$331$	10.8132	+	1.55470i	0.594348	+	0.0854543i	0.161424	+	0.986885i	$0.448391\pi$
$332$	16.9174	+	8.79655i	0.928461	+	0.482773i
$333$	1.27185	−	4.33154i	0.0696972	−	0.237367i
$334$	−1.27671	−	1.16469i	−0.0698586	−	0.0637292i
$335$	−2.43928	−	5.34128i	−0.133272	−	0.291825i
$336$	15.4346	−	37.7856i	0.842029	−	2.06138i
$337$	−11.6349	+	13.4274i	−0.633794	+	0.731437i	−0.978265	−	0.207360i	$-0.933513\pi$
$337$	−11.6349	+	13.4274i	−0.633794	+	0.731437i	0.344471	+	0.938797i	$0.388058\pi$
$338$	11.9004	−	9.79086i	0.647297	−	0.532552i
$339$	−19.2416	+	29.9406i	−1.04506	+	1.62615i
$340$	−2.75515	−	2.64549i	−0.149419	−	0.143472i
$341$	12.2563	+	19.0712i	0.663717	+	1.03276i
$342$	6.92168	−	1.84169i	0.374281	−	0.0995872i
$343$	−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	−0.988714	−	0.149816i	$-0.952132\pi$
$347$	−4.43254	−	15.0959i	−0.237951	−	0.810388i	0.750763	−	0.660572i	$-0.229686\pi$
$348$	1.06618	−	5.42961i	0.0571533	−	0.291058i
$349$	−1.64712	−	2.56297i	−0.0881685	−	0.137193i	0.794368	−	0.607437i	$-0.207802\pi$
$349$	−1.64712	−	2.56297i	−0.0881685	−	0.137193i	−0.882536	+	0.470244i	$0.844166\pi$
$350$	−17.3199	+	53.8564i	−0.925787	+	2.87875i
$351$	−1.41314	−	0.908171i	−0.0754279	−	0.0484746i
$352$	−14.3565	+	6.81944i	−0.765204	+	0.363478i
$353$	10.1083	−	11.6656i	0.538010	−	0.620896i	−0.420037	−	0.907507i	$-0.637983\pi$
$353$	10.1083	−	11.6656i	0.538010	−	0.620896i	0.958047	+	0.286610i	$0.0925285\pi$
$354$	2.35332	−	3.46396i	0.125078	−	0.184107i
$355$	13.6120	−	6.21639i	0.722450	−	0.329932i
$356$	−8.95735	−	22.6032i	−0.474739	−	1.19797i
$357$	1.45704	−	4.96221i	0.0771145	−	0.262628i
$358$	1.28630	+	0.0328705i	0.0679829	+	0.00173726i
$359$	−4.15934	+	28.9289i	−0.219522	+	1.52681i	0.520288	+	0.853991i	$0.325825\pi$
$359$	−4.15934	+	28.9289i	−0.219522	+	1.52681i	−0.739810	+	0.672816i	$0.765085\pi$
$360$	12.9251	−	23.3781i	0.681213	−	1.23214i
$361$	6.19666	−	13.5688i	0.326140	−	0.714146i
$362$	30.4935	−	18.5137i	1.60270	−	0.973058i
$363$	7.21385	−	1.03719i	0.378629	−	0.0544386i
$364$	−4.16691	+	11.9046i	−0.218406	+	0.623972i
$365$	12.9875	−	11.2537i	0.679797	−	0.589048i
$366$	−29.3652	−	4.99083i	−1.53495	−	0.260875i
$367$	−20.1083			−1.04965			−0.524823	−	0.851212i	$-0.675868\pi$
$367$	−20.1083			−1.04965			−0.524823	+	0.851212i	$0.675868\pi$
$368$	19.0747	+	2.03825i	0.994339	+	0.106251i
$369$	18.7126			0.974140
$370$	9.46272	+	1.60826i	0.491943	+	0.0836093i
$371$	32.5082	−	28.1686i	1.68774	−	1.46244i
$372$	−12.5102	+	35.7408i	−0.648622	+	1.85308i
$373$	−6.08669	+	0.875134i	−0.315157	+	0.0453127i	−0.298078	−	0.954541i	$-0.596346\pi$
$373$	−6.08669	+	0.875134i	−0.315157	+	0.0453127i	−0.0170786	+	0.999854i	$0.505437\pi$
$374$	−1.72142	+	1.04513i	−0.0890123	+	0.0540426i
$375$	−15.4247	+	33.7755i	−0.796530	+	1.74416i
$376$	−28.6637	−	15.8474i	−1.47822	−	0.817265i
$377$	−0.243339	+	1.69246i	−0.0125326	+	0.0871660i
$378$	−7.12088	−	0.181970i	−0.366258	−	0.00935950i
$379$	−6.96944	+	23.7357i	−0.357996	+	1.21922i	0.561948	+	0.827172i	$0.310052\pi$
$379$	−6.96944	+	23.7357i	−0.357996	+	1.21922i	−0.919944	+	0.392050i	$0.871766\pi$
$380$	5.61046	+	14.1576i	0.287811	+	0.726268i
$381$	8.66519	−	3.95726i	0.443931	−	0.202737i
$382$	11.2122	−	16.5038i	0.573668	−	0.844409i
$383$	7.18892	−	8.29646i	0.367337	−	0.423929i	−0.541748	−	0.840541i	$-0.682237\pi$
$383$	7.18892	−	8.29646i	0.367337	−	0.423929i	0.909084	+	0.416612i	$0.136783\pi$
$384$	−23.7362	−	11.8916i	−1.21128	−	0.606843i
$385$	38.7306	+	24.8907i	1.97390	+	1.26855i
$386$	−7.40812	+	23.0356i	−0.377063	+	1.17248i
$387$	−0.571094	−	0.888640i	−0.0290304	−	0.0451721i
$388$	−0.539176	+	2.74579i	−0.0273725	+	0.139396i
$389$	2.44620	+	8.33101i	0.124028	+	0.422399i	0.997974	−	0.0636233i	$-0.0202656\pi$
$389$	2.44620	+	8.33101i	0.124028	+	0.422399i	−0.873946	+	0.486022i	$0.838447\pi$
$390$	−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
$394$	−14.8527	+	3.95194i	−0.748268	+	0.199096i
$395$	21.3953	+	33.2918i	1.07652	+	1.67509i
$396$	−10.1591	−	9.75480i	−0.510516	−	0.490197i
$397$	−11.0312	+	17.1648i	−0.553638	+	0.861477i	−0.999433	−	0.0336576i	$-0.989284\pi$
$397$	−11.0312	+	17.1648i	−0.553638	+	0.861477i	0.445796	+	0.895135i	$0.352921\pi$
$398$	0.561745	−	0.462166i	0.0281577	−	0.0231663i
$399$	−13.5029	+	15.5831i	−0.675988	+	0.780132i
$400$	34.0646	+	13.9147i	1.70323	+	0.695734i
$401$	−1.71260	−	3.75006i	−0.0855230	−	0.187269i	0.862038	−	0.506843i	$-0.169188\pi$
$401$	−1.71260	−	3.75006i	−0.0855230	−	0.187269i	−0.947561	+	0.319574i	$0.896460\pi$
$402$	−3.82039	−	3.48518i	−0.190544	−	0.173825i
$403$	3.29667	−	11.2274i	0.164219	−	0.559277i
$404$	−17.4475	−	9.07218i	−0.868044	−	0.451358i
$405$	−38.1830	−	5.48988i	−1.89733	−	0.272794i
$406$	2.84256	+	6.67023i	0.141074	+	0.331038i
$407$	2.10227	−	4.60332i	0.104205	−	0.228178i
$408$	−3.14555	−	1.19206i	−0.155728	−	0.0590160i
$409$	1.46362	+	10.1797i	0.0723714	+	0.503354i	0.993476	+	0.114040i	$0.0363791\pi$
$409$	1.46362	+	10.1797i	0.0723714	+	0.503354i	−0.921105	+	0.389315i	$0.872712\pi$
$410$	4.65430	+	39.5131i	0.229859	+	1.95141i
$411$	−19.4512	+	16.8546i	−0.959459	+	0.831376i
$412$	−3.09135	−	2.21768i	−0.152300	−	0.109257i
$413$			5.48748i			0.270021i
$414$	4.30101	+	16.4461i	0.211383	+	0.808279i
$415$	−35.9253			−1.76350
$416$	7.51290	+	3.29525i	0.368350	+	0.161563i
$417$	−3.60916	−	4.16520i	−0.176741	−	0.203971i
$418$	7.97402	−	0.939269i	0.390022	−	0.0459412i
$419$	9.09133	−	1.30714i	0.444141	−	0.0638578i	0.0833834	−	0.996518i	$-0.473427\pi$
$419$	9.09133	−	1.30714i	0.444141	−	0.0638578i	0.360757	+	0.932660i	$0.382518\pi$
$420$	7.04219	+	76.5789i	0.343624	+	3.73667i
$421$	−7.70117	−	3.51700i	−0.375332	−	0.171408i	0.218812	−	0.975767i	$-0.429782\pi$
$421$	−7.70117	−	3.51700i	−0.375332	−	0.171408i	−0.594144	+	0.804359i	$0.702509\pi$
$422$	5.65333	+	13.2658i	0.275200	+	0.645771i
$423$	4.13050	−	28.7282i	0.200832	−	1.39681i
$424$	−16.6489	−	22.4853i	−0.808544	−	1.09198i
$425$	4.47354	+	1.31355i	0.216999	+	0.0637165i
$426$	8.88183	−	9.73608i	0.430326	−	0.471714i
$427$	35.5039	−	16.2141i	1.71816	−	0.784655i
$428$	−17.2311	−	30.0876i	−0.832895	−	1.45434i
$429$	7.22612	+	6.26147i	0.348880	+	0.302306i
$430$	1.73439	−	1.42694i	0.0836395	−	0.0688130i
$431$	9.02696	+	5.80128i	0.434814	+	0.279438i	0.739682	−	0.672957i	$-0.234976\pi$
$431$	9.02696	+	5.80128i	0.434814	+	0.279438i	−0.304868	+	0.952395i	$0.598612\pi$
$432$	−0.472664	+	4.60900i	−0.0227411	+	0.221751i
$433$	9.21955	−	5.92504i	0.443063	−	0.284739i	−0.300027	−	0.953931i	$-0.596996\pi$
$433$	9.21955	−	5.92504i	0.443063	−	0.284739i	0.743090	+	0.669191i	$0.233359\pi$
$434$	−12.7587	−	47.9514i	−0.612437	−	2.30174i
$435$	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	−0.542316	−	0.840175i	$-0.682452\pi$
$439$	−11.4045	+	3.34867i	−0.544308	+	0.159823i	−0.00199234	+	0.999998i	$0.500634\pi$
$440$	18.0712	−	23.8781i	0.861509	−	1.13834i
$441$	−25.1116	+	16.1383i	−1.19579	+	0.768488i
$442$	0.989560	+	0.318237i	0.0470686	+	0.0151370i
$443$	−1.20636	+	1.87713i	−0.0573159	+	0.0891852i	−0.868729	−	0.495288i	$-0.835062\pi$
$443$	−1.20636	+	1.87713i	−0.0573159	+	0.0891852i	0.811413	+	0.584473i	$0.198699\pi$
$444$	8.22173	−	1.96415i	0.390186	−	0.0932142i
$445$	34.6198	+	29.9983i	1.64114	+	1.42205i
$446$	4.01430	−	5.90884i	0.190083	−	0.279791i
$447$	−12.1283	−	26.5572i	−0.573647	−	1.25611i
$448$	34.4841	−	4.58929i	1.62922	−	0.216823i
$449$	−18.6315	−	5.47072i	−0.879277	−	0.258179i	−0.189221	−	0.981935i	$-0.560596\pi$
$449$	−18.6315	−	5.47072i	−0.879277	−	0.258179i	−0.690056	+	0.723756i	$0.742414\pi$
$450$	−0.832987	+	32.5967i	−0.0392674	+	1.53662i
$451$	20.7633	+	2.98531i	0.977705	+	0.140573i
$452$	−30.2944	−	1.54932i	−1.42493	−	0.0728739i
$453$	−22.0114	−	10.0523i	−1.03419	−	0.472298i
$454$	3.89185	−	2.36288i	0.182653	−	0.110895i
$455$	−3.38193	−	23.5218i	−0.158547	−	1.10272i
$456$	9.43353	+	9.53304i	0.441765	+	0.446425i
$457$	−6.17617	−	7.12768i	−0.288909	−	0.333419i	0.592679	−	0.805439i	$-0.298070\pi$
$457$	−6.17617	−	7.12768i	−0.288909	−	0.333419i	−0.881588	+	0.472020i	$0.843525\pi$
$458$	−2.56174	+	15.0729i	−0.119702	+	0.704308i
$459$			0.587052i			0.0274012i
$460$	−33.6573	+	13.1725i	−1.56928	+	0.614169i
$461$			28.8547i			1.34390i	0.740598	+	0.671949i	$0.234543\pi$
$461$			28.8547i			1.34390i	−0.740598	+	0.671949i	$0.765457\pi$
$462$	39.9724	+	6.79359i	1.85968	+	0.316067i
$463$	20.7264	+	23.9195i	0.963236	+	1.11163i	0.993697	+	0.112098i	$0.0357570\pi$
$463$	20.7264	+	23.9195i	0.963236	+	1.11163i	−0.0304610	+	0.999536i	$0.509698\pi$
$464$	4.46738	−	1.51126i	0.207393	−	0.0701586i
$465$	−10.1535	−	70.6188i	−0.470855	−	3.27487i
$466$	−18.9550	−	31.2203i	−0.878071	−	1.44625i
$467$	−13.6582	−	6.23749i	−0.632026	−	0.288637i	0.0735275	−	0.997293i	$-0.476574\pi$
$467$	−13.6582	−	6.23749i	−0.632026	−	0.288637i	−0.705554	+	0.708657i	$0.749302\pi$
$468$	−0.371304	+	7.26025i	−0.0171636	+	0.335605i
$469$	6.70727	+	0.964360i	0.309713	+	0.0445300i
$470$	61.6892	+	1.57643i	2.84551	+	0.0727153i
$471$	29.4992	+	8.66175i	1.35925	+	0.399112i
$472$	3.55876	+	0.273302i	0.163805	+	0.0125797i
$473$	−0.491911	−	1.07713i	−0.0226181	−	0.0495267i
$474$	28.8283	+	19.5852i	1.32413	+	0.899577i
$475$	−14.0485	−	12.1731i	−0.644590	−	0.558541i
$476$	4.28724	−	1.02421i	0.196505	−	0.0469445i
$477$	13.4039	−	20.8569i	0.613722	−	0.954971i
$478$	9.72279	−	30.2331i	0.444710	−	1.38283i
$479$	−14.8705	+	9.55667i	−0.679449	+	0.436655i	−0.834321	−	0.551279i	$-0.814140\pi$
$479$	−14.8705	+	9.55667i	−0.679449	+	0.436655i	0.154872	+	0.987935i	$0.450503\pi$
$480$	50.0140	−	0.753049i	2.28282	−	0.0343718i
$481$	−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
$486$	−28.0814	+	7.47176i	−1.27380	+	0.338926i
$487$	1.20320	−	0.773252i	0.0545223	−	0.0350394i	−0.513096	−	0.858331i	$-0.671501\pi$
$487$	1.20320	−	0.773252i	0.0545223	−	0.0350394i	0.567618	+	0.823292i	$0.307865\pi$
$488$	−8.74698	−	23.8327i	−0.395957	−	1.07886i
$489$	22.8173	+	14.6638i	1.03184	+	0.663120i
$490$	−40.3230	−	49.0111i	−1.82161	−	2.21410i
$491$	−25.7550	−	22.3168i	−1.16231	−	1.00714i	−0.999791	−	0.0204371i	$-0.993494\pi$
$491$	−25.7550	−	22.3168i	−1.16231	−	1.00714i	−0.162514	−	0.986706i	$-0.551960\pi$
$492$	17.4132	+	30.4056i	0.785046	+	1.37079i
$493$	0.543556	−	0.248234i	0.0244805	−	0.0111799i
$494$	−3.06174	−	2.79310i	−0.137754	−	0.125667i
$495$	25.4610	+	7.47603i	1.14439	+	0.336023i
$496$	−31.7331	+	5.88612i	−1.42486	+	0.264295i
$497$	−2.45763	+	17.0932i	−0.110240	+	0.766734i
$498$	−29.1058	+	12.4036i	−1.30426	+	0.555820i
$499$	−15.2152	−	6.94853i	−0.681124	−	0.311059i	0.0446396	−	0.999003i	$-0.485786\pi$
$499$	−15.2152	−	6.94853i	−0.681124	−	0.311059i	−0.725763	+	0.687944i	$0.758513\pi$
$500$	−31.5140	+	2.89803i	−1.40935	+	0.129604i
$501$	2.83829	−	0.408085i	0.126805	−	0.0182319i
$502$	−3.39127	−	28.7905i	−0.151360	−	1.28498i
$503$	−12.3171	−	14.2147i	−0.549192	−	0.633801i	0.411503	−	0.911408i	$-0.365004\pi$
$503$	−12.3171	−	14.2147i	−0.549192	−	0.633801i	−0.960695	+	0.277608i	$0.910459\pi$
$504$	14.6318	+	27.1336i	0.651752	+	1.20863i
$505$	37.0510			1.64875
$506$	2.14864	+	18.9345i	0.0955186	+	0.841741i
$507$			25.5701i			1.13561i
$508$	6.59712	+	4.73265i	0.292700	+	0.209978i
$509$	−29.0005	+	25.1290i	−1.28542	+	1.11383i	−0.298196	+	0.954505i	$0.596385\pi$
$509$	−29.0005	+	25.1290i	−1.28542	+	1.11383i	−0.987227	+	0.159321i	$0.949070\pi$
$510$	6.29429	−	0.741411i	0.278716	−	0.0328302i
$511$	2.82233	+	19.6297i	0.124852	+	0.868368i
$512$	−1.25879	−	22.5924i	−0.0556313	−	0.998451i
$513$	0.972304	−	2.12905i	0.0429283	−	0.0939998i
$514$	−11.3450	+	4.83475i	−0.500406	+	0.213251i
$515$	7.09515	+	1.02013i	0.312649	+	0.0449522i
$516$	0.912490	−	1.75489i	0.0401701	−	0.0772545i
$517$	9.16630	−	31.2176i	0.403134	−	1.37295i
$518$	−7.46515	+	8.18315i	−0.328000	+	0.359547i
$519$	−3.00552	−	6.58117i	−0.131928	−	0.288881i
$520$	−15.4229	+	1.02177i	−0.676340	+	0.0448075i
$521$	−18.0677	+	20.8512i	−0.791558	+	0.913507i	−0.997887	−	0.0649758i	$-0.979303\pi$
$521$	−18.0677	+	20.8512i	−0.791558	+	0.913507i	0.206329	+	0.978483i	$0.433848\pi$
$522$	2.65516	+	3.22725i	0.116213	+	0.141253i
$523$	−9.70638	+	15.1034i	−0.424430	+	0.660426i	−0.985951	−	0.167036i	$-0.946580\pi$
$523$	−9.70638	+	15.1034i	−0.424430	+	0.660426i	0.561520	+	0.827463i	$0.310217\pi$
$524$	19.2536	+	18.4873i	0.841099	+	0.807622i
$525$	−50.7499	−	78.9685i	−2.21491	−	3.44647i
$526$	1.88262	+	7.07549i	0.0820860	+	0.308506i
$527$	−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
$532$	−17.2448	−	3.38626i	−0.747656	−	0.146813i
$533$	−5.85376	−	9.10863i	−0.253555	−	0.394539i
$534$	38.4054	+	12.3509i	1.66196	+	0.534477i
$535$	54.9558	+	35.3179i	2.37594	+	1.52693i
$536$	0.959464	−	4.30180i	0.0414425	−	0.185809i
$537$	−1.39814	+	1.61354i	−0.0603341	+	0.0696293i
$538$	4.96192	+	3.37099i	0.213924	+	0.145334i
$539$	−30.4382	+	13.9006i	−1.31106	+	0.598743i
$540$	−3.21600	−	8.11533i	−0.138395	−	0.349228i
$541$	−5.80666	+	19.7757i	−0.249648	+	0.850222i	0.735355	+	0.677682i	$0.237015\pi$
$541$	−5.80666	+	19.7757i	−0.249648	+	0.850222i	−0.985003	+	0.172540i	$0.944803\pi$
$542$	−0.0999189	+	3.91005i	−0.00429188	+	0.167951i
$543$	−8.42396	+	58.5899i	−0.361507	+	2.51433i
$544$	−0.450699	−	2.83139i	−0.0193236	−	0.121395i
$545$	−15.1287	+	33.1272i	−0.648041	+	1.41901i
$546$	−10.8611	−	17.8892i	−0.464814	−	0.765585i
$547$	−0.000226772	0	3.26049e-5i	−9.69607e−6	0	1.39408e-6i	−0.142320	−	0.989821i	$-0.545456\pi$
$547$	−0.000226772	0	3.26049e-5i	−9.69607e−6	0	1.39408e-6i	0.142310	+	0.989822i	$0.454547\pi$
$548$	−20.7047	−	7.24716i	−0.884462	−	0.309584i
$549$	17.0018	−	14.7322i	0.725620	−	0.628753i
$550$	−6.12457	+	36.0360i	−0.261153	+	1.53658i
$551$	−2.38244			−0.101495
$552$	−22.7204	+	22.2926i	−0.967044	+	0.948836i
$553$	−45.6688			−1.94203
$554$	−1.60033	+	9.41607i	−0.0679914	+	0.400050i
$555$	−12.0364	+	10.4296i	−0.510916	+	0.442711i
$556$	1.55187	−	4.43361i	0.0658141	−	0.188027i
$557$	17.2082	−	2.47416i	0.729134	−	0.104834i	0.232257	−	0.972654i	$-0.425389\pi$
$557$	17.2082	−	2.47416i	0.729134	−	0.104834i	0.496877	+	0.867821i	$0.334480\pi$
$558$	−14.8425	−	24.4467i	−0.628332	−	1.03491i
$559$	−0.253906	+	0.555976i	−0.0107391	+	0.0235153i
$560$	−53.6554	+	37.6449i	−2.26735	+	1.59079i
$561$	0.475549	−	3.30751i	0.0200777	−	0.139643i
$562$	0.551725	−	21.5903i	0.0232731	−	0.910730i
$563$	4.06993	−	13.8609i	0.171527	−	0.584167i	−0.828192	−	0.560445i	$-0.810630\pi$
$563$	4.06993	−	13.8609i	0.171527	−	0.584167i	0.999719	−	0.0237221i	$-0.00755168\pi$
$564$	50.5234	−	20.0218i	2.12742	−	0.843068i
$565$	51.9874	−	23.7418i	2.18713	−	0.998827i
$566$	−7.83021	−	5.31963i	−0.329128	−	0.223601i
$567$	29.1522	−	33.6434i	1.22428	−	1.41289i
$568$	10.9629	+	2.44515i	0.459995	+	0.102596i
$569$	−12.3544	−	7.93970i	−0.517924	−	0.332849i	0.255426	−	0.966828i	$-0.417784\pi$
$569$	−12.3544	−	7.93970i	−0.517924	−	0.332849i	−0.773350	+	0.633979i	$0.781421\pi$
$570$	−24.0553	−	7.73605i	−1.00757	−	0.324027i
$571$	−20.9913	−	32.6632i	−0.878460	−	1.36691i	−0.929736	−	0.368226i	$-0.879965\pi$
$571$	−20.9913	−	32.6632i	−0.878460	−	1.36691i	0.0512764	−	0.998685i	$-0.483671\pi$
$572$	−1.57026	+	7.99665i	−0.0656557	+	0.334357i
$573$	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	0.692752	−	0.721175i	$-0.256398\pi$
$577$	40.0050	−	11.7465i	1.66543	−	0.489014i	0.972677	+	0.232161i	$0.0745797\pi$
$578$	6.08840	+	22.8822i	0.253244	+	0.951775i
$579$	−21.7069	−	33.7766i	−0.902109	−	1.40371i
$580$	−6.15417	+	6.40927i	−0.255538	+	0.266131i
$581$	22.4140	−	34.8768i	0.929888	−	1.44693i
$582$	−2.94991	−	3.58550i	−0.122278	−	0.148624i
$583$	18.2002	−	21.0042i	0.753775	−	0.869903i
$584$	12.8709	−	0.852697i	0.532602	−	0.0352849i
$585$	−5.68988	−	12.4591i	−0.235248	−	0.515120i
$586$	−8.21320	+	9.00315i	−0.339284	+	0.371917i
$587$	5.86972	−	19.9904i	0.242269	−	0.825094i	−0.745140	−	0.666908i	$-0.767617\pi$
$587$	5.86972	−	19.9904i	0.242269	−	0.825094i	0.987409	−	0.158186i	$-0.0505645\pi$
$588$	−49.5904	−	25.7856i	−2.04507	−	1.06338i
$589$	16.1382	+	2.32033i	0.664964	+	0.0956074i
$590$	−6.18645	+	2.63640i	−0.254692	+	0.108539i
$591$	10.5940	−	23.1976i	0.435778	−	0.954221i
$592$	4.93517	+	5.24889i	0.202834	+	0.215728i
$593$	−1.49188	−	10.3762i	−0.0612641	−	0.426101i	−0.997253	−	0.0740714i	$-0.976401\pi$
$593$	−1.49188	−	10.3762i	−0.0612641	−	0.426101i	0.935989	−	0.352030i	$-0.114508\pi$
$594$	−4.57083	+	0.538403i	−0.187543	+	0.0220909i
$595$	−6.27639	+	5.43853i	−0.257307	+	0.222958i
$596$	14.5047	−	20.2190i	0.594136	−	0.828201i
$597$			1.20701i			0.0493995i
$598$	6.65989	−	7.23830i	0.272343	−	0.295996i
$599$	22.5473			0.921257			0.460629	−	0.887593i	$-0.347624\pi$
$599$	22.5473			0.921257			0.460629	+	0.887593i	$0.347624\pi$
$600$	−53.7405	+	28.9796i	−2.19395	+	1.18309i
$601$	−4.49088	−	5.18275i	−0.183187	−	0.211409i	0.656727	−	0.754128i	$-0.271940\pi$
$601$	−4.49088	−	5.18275i	−0.183187	−	0.211409i	−0.839914	+	0.542719i	$0.817395\pi$
$602$	0.303199	+	2.57404i	0.0123575	+	0.104910i
$603$	3.86592	−	0.555835i	0.157432	−	0.0226354i
$604$	−1.88864	−	20.5376i	−0.0768477	−	0.835665i
$605$	−10.6457	−	4.86174i	−0.432810	−	0.197658i
$606$	30.0178	−	12.7923i	1.21939	−	0.519652i
$607$	6.75226	−	46.9630i	0.274066	−	1.90617i	−0.130130	−	0.991497i	$-0.541540\pi$
$607$	6.75226	−	46.9630i	0.274066	−	1.90617i	0.404196	−	0.914672i	$-0.367551\pi$
$608$	−3.05494	+	11.0150i	−0.123894	+	0.446717i
$609$	−11.5435	−	3.38948i	−0.467767	−	0.137349i
$610$	35.3368	+	32.2364i	1.43075	+	1.30521i
$611$	−15.2760	+	6.97631i	−0.618001	+	0.282231i
$612$	2.20465	−	1.26260i	0.0891179	−	0.0510374i
$613$	−4.41121	−	3.82233i	−0.178167	−	0.154383i	0.561212	−	0.827672i	$-0.310335\pi$
$613$	−4.41121	−	3.82233i	−0.178167	−	0.154383i	−0.739379	+	0.673290i	$0.764881\pi$
$614$	−18.9739	−	23.0620i	−0.765724	−	0.930707i
$615$	−55.5365	−	35.6912i	−2.23945	−	1.43921i
$616$	11.9065	+	32.4414i	0.479727	+	1.30710i
$617$	10.9555	−	7.04068i	0.441052	−	0.283447i	−0.301208	−	0.953558i	$-0.597390\pi$
$617$	10.9555	−	7.04068i	0.441052	−	0.283447i	0.742261	+	0.670111i	$0.233754\pi$
$618$	6.10052	−	1.62320i	0.245399	−	0.0652947i
$619$	−1.12593	−	3.83457i	−0.0452550	−	0.154125i	0.933766	−	0.357885i	$-0.116502\pi$
$619$	−1.12593	−	3.83457i	−0.0452550	−	0.154125i	−0.979021	+	0.203760i	$0.934684\pi$
$620$	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
$624$	−12.1425	+	6.15276i	−0.486089	+	0.246307i
$625$	11.4660	−	7.36877i	0.458641	−	0.294751i
$626$	−0.950721	+	2.95628i	−0.0379984	+	0.118157i
$627$	−7.20273	+	11.2077i	−0.287649	+	0.447591i
$628$	6.08868	+	25.4867i	0.242965	+	1.01703i
$629$	0.689903	+	0.597804i	0.0275082	+	0.0238360i
$630$	−48.0431	−	32.6392i	−1.91408	−	1.30038i
$631$	8.05333	+	17.6343i	0.320598	+	0.702011i	0.999480	−	0.0322357i	$-0.0102627\pi$
$631$	8.05333	+	17.6343i	0.320598	+	0.702011i	−0.678882	+	0.734247i	$0.737535\pi$
$632$	−2.27452	+	29.6173i	−0.0904754	+	1.17811i
$633$	−22.9579	−	6.74105i	−0.912495	−	0.267933i
$634$	37.9194	+	0.969005i	1.50597	+	0.0384841i
$635$	−15.1415	−	2.17701i	−0.600871	−	0.0863922i
$636$	46.3628	+	2.37109i	1.83841	+	0.0940200i
$637$	15.7110	+	7.17500i	0.622494	+	0.284284i
$638$	2.43128	+	4.00450i	0.0962552	+	0.158540i
$639$	1.41652	+	9.85211i	0.0560367	+	0.389743i
$640$	21.7414	+	36.6717i	0.859403	+	1.44958i
$641$	19.1166	+	22.0618i	0.755061	+	0.871387i	0.995049	−	0.0993890i	$-0.0316888\pi$
$641$	19.1166	+	22.0618i	0.755061	+	0.871387i	−0.239988	+	0.970776i	$0.577143\pi$
$642$	56.7177	+	9.63958i	2.23847	+	0.380444i
$643$			35.9063i			1.41601i	0.706210	+	0.708003i	$0.250404\pi$
$643$			35.9063i			1.41601i	−0.706210	+	0.708003i	$0.749596\pi$
$644$	8.21094	−	40.8934i	0.323556	−	1.61143i
$645$			3.72663i			0.146736i
$646$	−0.242678	+	1.42788i	−0.00954803	+	0.0561791i
$647$	−14.9350	−	17.2359i	−0.587154	−	0.677612i	0.381973	−	0.924174i	$-0.375245\pi$
$647$	−14.9350	−	17.2359i	−0.587154	−	0.677612i	−0.969127	+	0.246561i	$0.920699\pi$
$648$	−20.3667	−	20.5815i	−0.800078	−	0.808518i
$649$	0.504585	+	3.50947i	0.0198067	+	0.137759i
$650$	16.1275	−	9.79156i	0.632571	−	0.384057i
$651$	74.8926	+	34.2023i	2.93527	+	1.34049i
$652$	−1.18072	+	23.0870i	−0.0462405	+	0.904156i
$653$	−12.7167	−	1.82839i	−0.497644	−	0.0715503i	−0.111077	−	0.993812i	$-0.535430\pi$
$653$	−12.7167	−	1.82839i	−0.497644	−	0.0715503i	−0.386567	+	0.922261i	$0.626339\pi$
$654$	−0.819328	+	32.0621i	−0.0320383	+	1.25373i
$655$	−48.2538	−	14.1686i	−1.88543	−	0.553613i
$656$	−15.1125	+	25.7578i	−0.590044	+	1.00567i
$657$	4.74839	+	10.3975i	0.185252	+	0.405646i
$658$	−40.0186	+	58.9053i	−1.56009	+	2.29637i
$659$	14.5604	+	12.6166i	0.567192	+	0.491474i	0.890601	−	0.454785i	$-0.150284\pi$
$659$	14.5604	+	12.6166i	0.567192	+	0.491474i	−0.323410	+	0.946259i	$0.604829\pi$
$660$	11.5454	+	48.3278i	0.449403	+	1.88116i
$661$	−23.3876	+	36.3917i	−0.909670	+	1.41547i	−6.58022e−5		1.00000i	$0.500021\pi$
$661$	−23.3876	+	36.3917i	−0.909670	+	1.41547i	−0.909605	+	0.415475i	$0.863615\pi$
$662$	−14.7076	−	4.72987i	−0.571627	−	0.183832i
$663$	−1.45097	+	0.932482i	−0.0563510	+	0.0362146i
$664$	−21.5021	−	16.2730i	−0.834445	−	0.631516i
$665$	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
$670$	2.13524	+	8.02493i	0.0824915	+	0.310030i
$671$	21.2153	−	13.6342i	0.819007	−	0.526344i
$672$	−30.4729	+	49.0242i	−1.17552	+	1.89115i
$673$	10.0249	+	6.44259i	0.386430	+	0.248343i	0.719403	−	0.694593i	$-0.244415\pi$
$673$	10.0249	+	6.44259i	0.386430	+	0.248343i	−0.332973	+	0.942936i	$0.608052\pi$
$674$	19.4034	−	15.9638i	0.747389	−	0.614902i
$675$	8.05282	+	6.97781i	0.309953	+	0.268576i
$676$	−18.9118	+	10.8307i	−0.727377	+	0.416566i
$677$	−15.3516	+	7.01085i	−0.590010	+	0.269449i	−0.687967	−	0.725742i	$-0.741497\pi$
$677$	−15.3516	+	7.01085i	−0.590010	+	0.269449i	0.0979566	+	0.995191i	$0.468769\pi$
$678$	33.9217	−	37.1843i	1.30276	−	1.42805i
$679$	5.83763	+	1.71408i	0.224028	+	0.0657805i
$680$	3.21442	+	4.34126i	0.123267	+	0.166480i
$681$	−1.07514	+	7.47776i	−0.0411994	+	0.286548i
$682$	−12.5689	−	29.4937i	−0.481290	−	1.12937i
$683$	−21.6742	−	9.89828i	−0.829340	−	0.378747i	−0.0449307	−	0.998990i	$-0.514307\pi$
$683$	−21.6742	−	9.89828i	−0.829340	−	0.378747i	−0.784410	+	0.620243i	$0.787034\pi$
$684$	−10.0867	+	0.927577i	−0.385676	+	0.0354668i
$685$	40.9096	−	5.88191i	1.56307	−	0.224736i
$686$	29.9858	−	3.53206i	1.14486	−	0.134855i
$687$	−16.6129	−	19.1724i	−0.633823	−	0.731471i
$688$	1.68443	−	0.0684329i	0.0642182	−	0.00260898i
$689$	−14.3454			−0.546518
$690$	18.6032	−	57.0131i	0.708213	−	2.17045i
$691$		−	35.4576i		−	1.34887i	−0.738334	−	0.674435i	$-0.764387\pi$
$691$		−	35.4576i		−	1.34887i	0.738334	−	0.674435i	$-0.235613\pi$
$692$	3.59443	−	5.01049i	0.136640	−	0.190470i
$693$	−23.1431	+	20.0536i	−0.879134	+	0.761774i
$694$	2.60286	+	22.0973i	0.0988033	+	0.838801i
$695$	1.25952	+	8.76019i	0.0477765	+	0.332293i
$696$	−2.77308	+	7.31743i	−0.105113	+	0.277367i
$697$	−1.57190	+	3.44199i	−0.0595401	+	0.130375i
$698$	1.68914	+	3.96365i	0.0639348	+	0.150026i
$699$	59.9864	+	8.62474i	2.26889	+	0.326218i
$700$	36.9094	−	70.9836i	1.39505	−	2.68293i
$701$	−6.13170	+	20.8826i	−0.231591	+	0.788727i	0.758907	+	0.651199i	$0.225734\pi$
$701$	−6.13170	+	20.8826i	−0.231591	+	0.788727i	−0.990498	+	0.137528i	$0.956084\pi$
$702$	1.75503	+	1.60104i	0.0662394	+	0.0604275i
$703$	−1.51194	−	3.31069i	−0.0570240	−	0.124865i
$704$	21.6320	−	6.10593i	0.815288	−	0.230126i
$705$	−67.0530	+	77.3833i	−2.52536	+	2.91443i
$706$	−16.8574	+	13.8692i	−0.634438	+	0.521973i
$707$	−23.1163	+	35.9697i	−0.869378	+	1.35278i
$708$	−4.10186	+	4.27189i	−0.154157	+	0.160547i
$709$	−24.1178	−	37.5281i	−0.905764	−	1.40940i	−0.912347	−	0.409419i	$-0.865732\pi$
$709$	−24.1178	−	37.5281i	−0.905764	−	1.40940i	0.00658224	−	0.999978i	$-0.497905\pi$
$710$	−20.4512	+	5.44156i	−0.767518	+	0.204218i
$711$	−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
$716$	−1.78559	−	0.350627i	−0.0667307	−	0.0131035i
$717$	28.4893	+	44.3302i	1.06395	+	1.65554i
$718$	12.6540	−	39.3476i	0.472242	−	1.46844i
$719$	33.4839	+	21.5188i	1.24874	+	0.802516i	0.986702	−	0.162541i	$-0.0519691\pi$
$719$	33.4839	+	21.5188i	1.24874	+	0.802516i	0.262038	+	0.965058i	$0.415605\pi$
$720$	−23.5601	+	29.5316i	−0.878032	+	1.10058i
$721$	−5.41705	+	6.25161i	−0.201741	+	0.232822i
$722$	−11.8547	+	17.4495i	−0.441187	+	0.649404i
$723$	28.1511	−	12.8562i	1.04695	−	0.478126i
$724$	−46.9016	+	18.5865i	−1.74308	+	0.690762i
$725$	3.05569	−	10.4067i	0.113485	−	0.386496i
$726$	−10.3035	−	0.263299i	−0.382398	−	0.00977193i
$727$	1.66744	−	11.5973i	0.0618421	−	0.430121i	−0.935255	−	0.353976i	$-0.884830\pi$
$727$	1.66744	−	11.5973i	0.0618421	−	0.430121i	0.997097	−	0.0761455i	$-0.0242614\pi$
$728$	8.63049	−	15.6103i	0.319867	−	0.578556i
$729$	7.27155	−	15.9225i	0.269317	−	0.589722i
$730$	−20.7741	+	12.6127i	−0.768884	+	0.466817i
$731$	0.211429	−	0.0303990i	0.00782000	−	0.00112435i
$732$	39.7590	+	13.9166i	1.46954	+	0.514374i
$733$	−25.6740	+	22.2466i	−0.948290	+	0.821698i	−0.984092	−	0.177661i	$-0.943147\pi$
$733$	−25.6740	+	22.2466i	−0.948290	+	0.821698i	0.0358014	+	0.999359i	$0.488602\pi$
$734$	28.0354	+	4.76482i	1.03481	+	0.175873i
$735$	105.309			3.88438
$736$	−26.1114	−	7.36167i	−0.962479	−	0.271355i
$737$	4.37825			0.161275
$738$	−26.0895	−	4.43410i	−0.960368	−	0.163221i
$739$	35.8290	−	31.0460i	1.31799	−	1.14204i	0.338408	−	0.941000i	$-0.390112\pi$
$739$	35.8290	−	31.0460i	1.31799	−	1.14204i	0.979582	−	0.201045i	$-0.0644337\pi$
$740$	−12.8120	−	4.48453i	−0.470980	−	0.164855i
$741$	6.80662	−	0.978645i	0.250048	−	0.0359514i
$742$	−51.9984	+	31.5701i	−1.90892	+	1.15897i
$743$	7.71882	−	16.9019i	0.283176	−	0.620069i	−0.713578	−	0.700576i	$-0.752927\pi$
$743$	7.71882	−	16.9019i	0.283176	−	0.620069i	0.996754	+	0.0805067i	$0.0256538\pi$
$744$	25.9110	−	46.8662i	0.949944	−	1.71820i
$745$	−6.67215	+	46.4058i	−0.244448	+	1.70018i
$746$	8.69356	+	0.222158i	0.318294	+	0.00813379i
$747$	6.73215	−	22.9276i	0.246316	−	0.838876i
$748$	2.64769	−	1.04924i	0.0968090	−	0.0383641i
$749$	−68.5743	+	31.3168i	−2.50565	+	1.14429i
$750$	29.5088	−	43.4354i	1.07751	−	1.58604i
$751$	17.8831	−	20.6382i	0.652562	−	0.753097i	−0.328981	−	0.944336i	$-0.606705\pi$
$751$	17.8831	−	20.6382i	0.652562	−	0.753097i	0.981543	+	0.191240i	$0.0612507\pi$
$752$	36.2084	+	28.8868i	1.32038	+	1.05339i
$753$	40.4657	+	26.0057i	1.47465	+	0.947701i
$754$	0.740309	−	2.30200i	0.0269605	−	0.0838338i
$755$	21.0083	+	32.6895i	0.764570	+	1.18969i
$756$	9.88496	+	1.94105i	0.359512	+	0.0705954i
$757$	10.9495	+	37.2905i	0.397966	+	1.35535i	0.878236	+	0.478227i	$0.158720\pi$
$757$	10.9495	+	37.2905i	0.397966	+	1.35535i	−0.480270	+	0.877120i	$0.659461\pi$
$758$	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	−0.631970	−	0.774993i	$-0.717753\pi$
$761$	−20.5414	+	6.03149i	−0.744624	+	0.218641i	−0.112654	+	0.993634i	$0.535935\pi$
$762$	−13.0189	+	3.46401i	−0.471624	+	0.125488i
$763$	−22.7215	−	35.3553i	−0.822573	−	1.27995i
$764$	−19.5431	+	20.3531i	−0.707043	+	0.736351i
$765$	−2.58790	+	4.02685i	−0.0935657	+	0.145591i
$766$	−11.9889	+	9.86363i	−0.433175	+	0.356387i
$767$	1.19845	−	1.38309i	0.0432735	−	0.0499403i
$768$	30.2757	+	22.2040i	1.09248	+	0.801219i
$769$	20.0017	+	43.7976i	0.721280	+	1.57938i	0.812102	+	0.583515i	$0.198323\pi$
$769$	20.0017	+	43.7976i	0.721280	+	1.57938i	−0.0908222	+	0.995867i	$0.528950\pi$
$770$	−48.1010	−	43.8806i	−1.73344	−	1.58135i
$771$	5.76496	−	19.6337i	0.207620	−	0.707089i
$772$	15.7870	−	30.3613i	0.568187	−	1.09273i
$773$	19.2235	+	2.76392i	0.691421	+	0.0994113i	0.479063	−	0.877781i	$-0.340977\pi$
$773$	19.2235	+	2.76392i	0.691421	+	0.0994113i	0.212358	+	0.977192i	$0.431886\pi$
$774$	0.585661	+	1.37429i	0.0210512	+	0.0493977i
$775$	−30.8341	+	67.5173i	−1.10759	+	2.42529i
$776$	1.40237	−	3.70048i	0.0503420	−	0.132839i
$777$	−2.61564	−	18.1922i	−0.0938355	−	0.652640i
$778$	−1.43645	−	12.1949i	−0.0514993	−	0.437209i
$779$	11.4016	−	9.87953i	0.408504	−	0.353971i
$780$	14.9497	−	20.8392i	0.535284	−	0.746164i
$781$			11.1578i			0.399256i
$782$	−3.38638	−	0.590381i	−0.121097	−	0.0211120i
$783$	1.36565			0.0488043
$784$	−1.93381	−	47.5994i	−0.0690646	−	1.69998i
$785$	−32.3308	−	37.3117i	−1.15394	−	1.33171i
$786$	−43.9859	+	5.18115i	−1.56893	+	0.184805i
$787$	−20.2238	+	2.90775i	−0.720902	+	0.103650i	−0.492994	−	0.870033i	$-0.664098\pi$
$787$	−20.2238	+	2.90775i	−0.720902	+	0.103650i	−0.227908	+	0.973683i	$0.573188\pi$
$788$	21.6444	−	1.99042i	0.771049	−	0.0709056i
$789$	−11.0508	−	5.04674i	−0.393420	−	0.179669i
$790$	−21.9411	−	51.4859i	−0.780628	−	1.83179i
$791$	−9.38624	+	65.2828i	−0.333736	+	2.32119i
$792$	11.8526	+	16.0076i	0.421165	+	0.568806i
$793$	−12.4897	−	3.66730i	−0.443521	−	0.130230i
$794$	19.4472	−	21.3176i	0.690155	−	0.756534i
$795$	−79.5619	+	36.3347i	−2.82177	+	1.28866i
$796$	−0.892711	+	0.511252i	−0.0316413	+	0.0181208i
$797$	12.8296	+	11.1169i	0.454447	+	0.393781i	0.851785	−	0.523892i	$-0.175520\pi$
$797$	12.8296	+	11.1169i	0.454447	+	0.393781i	−0.397338	+	0.917672i	$0.630066\pi$
$798$	22.5185	−	18.5267i	0.797146	−	0.655838i
$799$	4.93729	+	3.17300i	0.174669	+	0.112253i
$800$	−44.1963	−	27.4720i	−1.56258	−	0.971281i
$801$	−25.6324	+	16.4730i	−0.905678	+	0.582044i
$802$	1.49913	+	5.63423i	0.0529362	+	0.198952i
$803$	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
$808$	22.1759	+	16.7829i	0.780145	+	0.590422i
$809$	−9.55545	+	6.14091i	−0.335952	+	0.215903i	−0.697730	−	0.716361i	$-0.745806\pi$
$809$	−9.55545	+	6.14091i	−0.335952	+	0.215903i	0.361778	+	0.932264i	$0.382170\pi$
$810$	51.9346	+	16.7019i	1.82480	+	0.586843i
$811$	−12.1494	+	18.9048i	−0.426622	+	0.663837i	−0.986317	−	0.164862i	$-0.947282\pi$
$811$	−12.1494	+	18.9048i	−0.426622	+	0.663837i	0.559695	+	0.828699i	$0.310918\pi$
$812$	−2.38260	−	9.97333i	−0.0836128	−	0.349995i
$813$	−4.90479	−	4.25003i	−0.172019	−	0.149055i
$814$	−4.02181	+	5.91990i	−0.140965	+	0.207492i
$815$	−18.0933	−	39.6189i	−0.633782	−	1.38779i
$816$	4.10312	+	2.40736i	0.143638	+	0.0842745i
$817$	−0.817135	−	0.239932i	−0.0285879	−	0.00839417i
$818$	0.371550	−	14.5396i	0.0129909	−	0.508364i
$819$	15.6454	+	2.24947i	0.546695	+	0.0786029i
$820$	2.87382	−	56.1929i	0.100358	−	1.96234i
$821$	1.79090	+	0.817876i	0.0625028	+	0.0285441i	0.446421	−	0.894823i	$-0.352698\pi$
$821$	1.79090	+	0.817876i	0.0625028	+	0.0285441i	−0.383918	+	0.923367i	$0.625426\pi$
$822$	31.1131	−	18.8899i	1.08520	−	0.658861i
$823$	0.839493	+	5.83880i	0.0292629	+	0.203528i	0.999208	−	0.0397968i	$-0.0126711\pi$
$823$	0.839493	+	5.83880i	0.0292629	+	0.203528i	−0.969945	+	0.243325i	$0.921762\pi$
$824$	3.78453	+	3.82445i	0.131840	+	0.133231i
$825$	−39.7180	−	45.8370i	−1.38280	−	1.59584i
$826$	1.30030	−	7.65076i	0.0452432	−	0.266204i
$827$		−	44.5253i		−	1.54830i	−0.633003	−	0.774149i	$-0.718178\pi$
$827$		−	44.5253i		−	1.54830i	0.633003	−	0.774149i	$-0.281822\pi$
$828$	−2.09954	−	23.9486i	−0.0729642	−	0.832271i
$829$		−	49.1041i		−	1.70546i	−0.522354	−	0.852729i	$-0.674946\pi$
$829$		−	49.1041i		−	1.70546i	0.522354	−	0.852729i	$-0.325054\pi$
$830$	50.0878	+	8.51278i	1.73857	+	0.295483i
$831$	−10.3782	−	11.9770i	−0.360014	−	0.415479i
$832$	−9.69381	−	6.37454i	−0.336072	−	0.220998i
$833$	−0.859028	−	5.97467i	−0.0297636	−	0.207010i
$834$	4.04499	+	6.66242i	0.140067	+	0.230701i
$835$	−4.18856	−	1.91285i	−0.144951	−	0.0661969i
$836$	−11.3401	−	0.579958i	−0.392206	−	0.0200583i
$837$	−9.25067	−	1.33004i	−0.319750	−	0.0459731i
$838$	−12.9851	−	0.331825i	−0.448561	−	0.0114627i
$839$	−25.6433	−	7.52955i	−0.885304	−	0.259949i	−0.192692	−	0.981259i	$-0.561722\pi$
$839$	−25.6433	−	7.52955i	−0.885304	−	0.259949i	−0.692612	+	0.721310i	$0.743540\pi$
$840$	8.32759	−	108.437i	0.287329	−	3.74142i
$841$	11.4696	+	25.1149i	0.395503	+	0.866030i
$842$	9.90374	+	6.72833i	0.341306	+	0.231874i
$843$	27.0830	+	23.4675i	0.932786	+	0.808264i
$844$	−4.73855	−	19.8351i	−0.163108	−	0.682753i
$845$	22.1994	−	34.5429i	0.763681	−	1.18831i
$846$	−12.5662	+	39.0747i	−0.432035	+	1.34342i
$847$	11.3618	−	7.30176i	0.390395	−	0.250891i
$848$	17.8842	+	35.2946i	0.614146	+	1.21202i
$849$	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	−0.508971	−	0.860784i	$-0.669974\pi$
$853$	−15.9516	−	54.3261i	−0.546172	−	1.86009i	−0.0372009	−	0.999308i	$-0.511844\pi$
$854$	−53.3424	+	14.1931i	−1.82534	+	0.485678i
$855$	16.0550	−	10.3179i	0.549068	−	0.352864i
$856$	16.8944	+	46.0318i	0.577439	+	1.57334i
$857$	−16.5433	−	10.6317i	−0.565108	−	0.363173i	0.226680	−	0.973969i	$-0.427213\pi$
$857$	−16.5433	−	10.6317i	−0.565108	−	0.363173i	−0.791788	+	0.610797i	$0.790849\pi$
$858$	−8.59110	−	10.4421i	−0.293295	−	0.356489i
$859$	11.1325	+	9.64636i	0.379836	+	0.329129i	0.823764	−	0.566933i	$-0.191870\pi$
$859$	11.1325	+	9.64636i	0.379836	+	0.329129i	−0.443928	+	0.896062i	$0.646416\pi$
$860$	−2.75624	+	1.57849i	−0.0939870	+	0.0538260i
$861$	69.2990	−	31.6478i	2.36170	−	1.07855i
$862$	−11.2109	−	10.2273i	−0.381846	−	0.348342i
$863$	−19.7261	−	5.79210i	−0.671483	−	0.197165i	−0.0718198	−	0.997418i	$-0.522881\pi$
$863$	−19.7261	−	5.79210i	−0.671483	−	0.197165i	−0.599663	+	0.800252i	$0.704699\pi$
$864$	1.75114	−	6.31396i	0.0595749	−	0.214805i
$865$	−1.65343	+	11.4999i	−0.0562184	+	0.391008i
$866$	−14.2581	+	6.07618i	−0.484509	+	0.206477i
$867$	−35.7385	−	16.3212i	−1.21374	−	0.554297i
$868$	6.42598	+	69.8781i	0.218112	+	2.37182i
$869$	−29.2071	+	4.19934i	−0.990782	+	0.142453i
$870$	−1.72473	−	14.6423i	−0.0584740	−	0.496421i
$871$	−1.47991	−	1.70791i	−0.0501450	−	0.0578704i
$872$	−24.0604	+	12.9746i	−0.814788	+	0.439375i
$873$	3.50672			0.118685
$874$	11.3035	+	7.74980i	0.382346	+	0.262141i
$875$			68.8088i			2.32616i
$876$	−12.4760	+	17.3910i	−0.421524	+	0.587588i
$877$	41.8601	−	36.2720i	1.41352	−	1.22482i	0.474816	−	0.880085i	$-0.342515\pi$
$877$	41.8601	−	36.2720i	1.41352	−	1.22482i	0.938700	−	0.344734i	$-0.112031\pi$
$878$	16.6939	−	1.96640i	0.563392	−	0.0663626i
$879$	−2.87774	−	20.0151i	−0.0970637	−	0.675093i
$880$	−30.8533	+	29.0092i	−1.04006	+	0.977900i
$881$	10.0822	−	22.0770i	0.339679	−	0.743792i	−0.660295	−	0.751006i	$-0.729569\pi$
$881$	10.0822	−	22.0770i	0.339679	−	0.743792i	0.999974	+	0.00721360i	$0.00229618\pi$
$882$	38.8352	−	16.5499i	1.30765	−	0.557264i
$883$	40.5406	+	5.82886i	1.36430	+	0.196157i	0.785272	−	0.619151i	$-0.212523\pi$
$883$	40.5406	+	5.82886i	1.36430	+	0.196157i	0.579028	+	0.815308i	$0.303432\pi$
$884$	−1.30426	−	0.678176i	−0.0438669	−	0.0228095i
$885$	3.14365	−	10.7063i	0.105673	−	0.359888i
$886$	2.12673	−	2.33128i	0.0714490	−	0.0783209i
$887$	1.02700	+	2.24881i	0.0344832	+	0.0755076i	0.926090	−	0.377303i	$-0.123149\pi$
$887$	1.02700	+	2.24881i	0.0344832	+	0.0755076i	−0.891607	+	0.452811i	$0.850421\pi$
$888$	−11.9283	+	0.790251i	−0.400288	+	0.0265191i
$889$	11.5603	−	13.3413i	0.387720	−	0.447453i
$890$	−41.1594	−	50.0276i	−1.37967	−	1.67693i
$891$	15.5504	−	24.1970i	0.520959	−	0.810629i
$892$	−6.99696	+	7.28700i	−0.234276	+	0.243987i
$893$	−12.6507	−	19.6848i	−0.423339	−	0.658728i
$894$	10.6165	+	39.9005i	0.355070	+	1.33447i
$895$	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
$900$	8.88540	−	45.2496i	0.296180	−	1.50832i
$901$	2.71045	+	4.21753i	0.0902980	+	0.140506i
$902$	−28.2412	−	9.08221i	−0.940330	−	0.302404i
$903$	−3.61787	−	2.32506i	−0.120395	−	0.0773732i
$904$	41.8700	+	9.33859i	1.39257	+	0.310597i
$905$	62.2464	−	71.8361i	2.06914	−	2.38791i
$906$	28.3068	+	19.2309i	0.940432	+	0.638903i
$907$	1.83239	−	0.836822i	0.0608433	−	0.0277862i	−0.384761	−	0.923016i	$-0.625716\pi$
$907$	1.83239	−	0.836822i	0.0608433	−	0.0277862i	0.445604	+	0.895230i	$0.352989\pi$
$908$	−5.98600	+	2.37217i	−0.198652	+	0.0787233i
$909$	−6.94309	+	23.6460i	−0.230288	+	0.784289i
$910$	−0.858525	+	33.5960i	−0.0284598	+	1.11370i
$911$	6.52745	−	45.3994i	0.216264	−	1.50415i	−0.535398	−	0.844600i	$-0.679838\pi$
$911$	6.52745	−	45.3994i	0.216264	−	1.50415i	0.751662	−	0.659549i	$-0.229253\pi$
$912$	−10.8935	−	15.5265i	−0.360720	−	0.514134i
$913$	11.1277	−	24.3662i	0.368272	−	0.806402i
$914$	6.92198	+	11.4010i	0.228959	+	0.377113i
$915$	−78.5582	+	11.2950i	−2.59705	+	0.373400i
$916$	7.14326	−	20.4079i	0.236020	−	0.674295i
$917$	43.8608	−	38.0056i	1.44841	−	1.25506i
$918$	0.139106	−	0.818480i	0.00459120	−	0.0270139i
$919$	20.3140			0.670096			0.335048	−	0.942201i	$-0.391247\pi$
$919$	20.3140			0.670096			0.335048	+	0.942201i	$0.391247\pi$
$920$	50.0471	−	10.3900i	1.65000	−	0.342547i
$921$	49.5528			1.63282
$922$	6.83735	−	40.2298i	0.225176	−	1.32490i
$923$	4.35253	−	3.77149i	0.143265	−	0.124140i
$924$	−54.1205	−	18.9435i	−1.78044	−	0.623197i
$925$	16.4006	−	2.35805i	0.539249	−	0.0775323i
$926$	−23.2292	−	38.2603i	−0.763360	−	1.25731i
$927$	−1.98063	+	4.33697i	−0.0650523	+	0.142445i
$928$	−6.58661	+	1.04845i	−0.216216	+	0.0344172i
$929$	−0.277648	+	1.93108i	−0.00910934	+	0.0633568i	−0.993869	−	0.110564i	$-0.964734\pi$
$929$	−0.277648	+	1.93108i	−0.00910934	+	0.0633568i	0.984760	+	0.173920i	$0.0556435\pi$
$930$	−2.57752	+	100.864i	−0.0845202	+	3.30747i
$931$	−6.78012	+	23.0910i	−0.222210	+	0.756776i
$932$	19.0295	+	48.0195i	0.623332	+	1.57293i
$933$	31.5949	−	14.4289i	1.03437	−	0.472381i
$934$	17.5645	+	11.9329i	0.574729	+	0.390455i
$935$	−3.51393	+	4.05529i	−0.114918	+	0.132622i
$936$	2.23805	−	10.0344i	0.0731530	−	0.327985i
$937$	−41.5535	−	26.7048i	−1.35749	−	0.872408i	−0.359343	−	0.933206i	$-0.616999\pi$
$937$	−41.5535	−	26.7048i	−1.35749	−	0.872408i	−0.998150	+	0.0607977i	$0.980636\pi$
$938$	−9.12290	−	2.93387i	−0.297873	−	0.0957943i
$939$	−2.78576	−	4.33472i	−0.0909098	−	0.141458i
$940$	−85.6348	−	16.8156i	−2.79310	−	0.548465i
$941$	0.942988	+	3.21152i	0.0307405	+	0.104693i	0.973434	−	0.228967i	$-0.0735347\pi$
$941$	0.942988	+	3.21152i	0.0307405	+	0.104693i	−0.942694	+	0.333659i	$0.891716\pi$
$942$	−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
$946$	0.430597	+	1.61832i	0.0139999	+	0.0526163i
$947$	32.2646	+	50.2048i	1.04846	+	1.63144i	0.729928	+	0.683524i	$0.239553\pi$
$947$	32.2646	+	50.2048i	1.04846	+	1.63144i	0.318532	+	0.947912i	$0.396810\pi$
$948$	−35.5522	−	34.1372i	−1.15468	−	1.10872i
$949$	3.57573	−	5.56394i	0.116073	−	0.180613i
$950$	16.7022	+	20.3009i	0.541892	+	0.658649i
$951$	−41.2164	+	47.5663i	−1.33653	+	1.54244i
$952$	−6.22005	+	0.412078i	−0.201593	+	0.0133555i
$953$	−9.93661	−	21.7581i	−0.321878	−	0.704815i	0.677654	−	0.735380i	$-0.262997\pi$
$953$	−9.93661	−	21.7581i	−0.321878	−	0.704815i	−0.999533	+	0.0305653i	$0.990269\pi$
$954$	−23.6302	+	25.9029i	−0.765056	+	0.838638i
$955$	14.9777	−	51.0094i	0.484667	−	1.65063i
$956$	−20.7197	+	39.8478i	−0.670123	+	1.28877i
$957$	−7.69422	−	1.10626i	−0.248719	−	0.0357604i
$958$	22.9972	−	9.80043i	0.743007	−	0.316637i
$959$	−19.8134	+	43.3854i	−0.639809	+	1.40099i
$960$	−69.9090	−	10.8013i	−2.25630	−	0.348610i
$961$	−4.85324	−	33.7550i	−0.156556	−	1.08887i
$962$	3.66872	−	0.432143i	0.118284	−	0.0139329i
$963$	−32.8383	+	28.4545i	−1.05820	+	0.916934i
$964$	21.4324	+	15.3752i	0.690292	+	0.495203i
$965$			64.4746i			2.07551i
$966$	43.7425	+	53.6311i	1.40739	+	1.72555i
$967$	11.7429			0.377627			0.188813	−	0.982013i	$-0.439536\pi$
$967$	11.7429			0.377627			0.188813	+	0.982013i	$0.439536\pi$
$968$	−4.16950	−	7.73204i	−0.134013	−	0.248517i
$969$	−1.57377	−	1.81623i	−0.0505568	−	0.0583457i
$970$	0.872210	+	7.40472i	0.0280050	+	0.237751i
$971$	−5.97258	+	0.858727i	−0.191669	+	0.0275579i	−0.237481	−	0.971392i	$-0.576322\pi$
$971$	−5.97258	+	0.858727i	−0.191669	+	0.0275579i	0.0458117	+	0.998950i	$0.485413\pi$
$972$	40.9221	−	3.76319i	1.31258	−	0.120705i
$973$	−9.29034	−	4.24276i	−0.297835	−	0.136017i
$974$	−1.86076	+	0.792975i	−0.0596226	+	0.0254086i
$975$	−4.45528	+	30.9872i	−0.142683	+	0.992384i
$976$	6.54787	+	35.3007i	0.209592	+	1.12995i
$977$	20.1171	+	5.90692i	0.643604	+	0.188979i	0.587217	−	0.809430i	$-0.300224\pi$
$977$	20.1171	+	5.90692i	0.643604	+	0.188979i	0.0563872	+	0.998409i	$0.482042\pi$
$978$	−28.3377	−	25.8513i	−0.906139	−	0.826634i
$979$	−31.0695	+	14.1890i	−0.992985	+	0.453481i
$980$	44.6057	+	77.8871i	1.42488	+	2.48801i
$981$	−18.3068	−	15.8629i	−0.584491	−	0.506464i
$982$	30.6200	+	37.2174i	0.977122	+	1.18765i
$983$	24.0028	+	15.4257i	0.765572	+	0.492003i	0.864217	−	0.503120i	$-0.167814\pi$
$983$	24.0028	+	15.4257i	0.765572	+	0.492003i	−0.0986451	+	0.995123i	$0.531451\pi$
$984$	−17.0730	−	46.5183i	−0.544266	−	1.48295i
$985$	−34.4511	+	22.1404i	−1.09770	+	0.705451i
$986$	−0.816658	+	0.217293i	−0.0260077	+	0.00692001i
$987$	−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	−0.660157	−	0.751127i	$-0.729510\pi$
$991$	−25.4809	+	7.48187i	−0.809427	+	0.237669i	−0.149270	+	0.988797i	$0.547692\pi$
$992$	45.6377	−	0.687156i	1.44900	−	0.0218172i
$993$	21.5654	−	13.8593i	0.684358	−	0.439810i
$994$	7.47683	−	23.2493i	0.237151	−	0.737423i
$995$	1.04790	−	1.63056i	0.0332205	−	0.0516921i
$996$	43.5190	−	10.3966i	1.37895	−	0.329428i
$997$	−31.6297	−	27.4073i	−1.00172	−	0.867999i	−0.0104670	−	0.999945i	$-0.503332\pi$
$997$	−31.6297	−	27.4073i	−1.00172	−	0.867999i	−0.991257	+	0.131947i	$0.957877\pi$
$998$	19.5668	+	13.2931i	0.619375	+	0.420787i
$999$	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.101.3	✓	220
4.3	odd	2		736.2.x.a.561.3		220
8.3	odd	2		736.2.x.a.561.20		220
8.5	even	2	inner	184.2.p.a.101.7	yes	220
23.18	even	11	inner	184.2.p.a.133.7	yes	220
92.87	odd	22		736.2.x.a.593.20		220
184.133	even	22	inner	184.2.p.a.133.3	yes	220
184.179	odd	22		736.2.x.a.593.3		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.p.a.101.3	✓	220	1.1	even	1	trivial
184.2.p.a.101.7	yes	220	8.5	even	2	inner
184.2.p.a.133.3	yes	220	184.133	even	22	inner
184.2.p.a.133.7	yes	220	23.18	even	11	inner
736.2.x.a.561.3		220	4.3	odd	2
736.2.x.a.561.20		220	8.3	odd	2
736.2.x.a.593.3		220	184.179	odd	22
736.2.x.a.593.20		220	92.87	odd	22

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)

\(f(q)\)	\(=\)	\(q+(-1.39422 - 0.236958i) q^{2} +(1.77342 - 1.53668i) q^{3} +(1.88770 + 0.660743i) q^{4} +(-3.72983 + 0.536269i) q^{5} +(-2.83666 + 1.72224i) q^{6} +(1.80644 - 3.95556i) q^{7} +(-2.47531 - 1.36853i) q^{8} +(0.356696 - 2.48088i) q^{9} +O(q^{10})\)	\(q+(-1.39422 - 0.236958i) q^{2} +(1.77342 - 1.53668i) q^{3} +(1.88770 + 0.660743i) q^{4} +(-3.72983 + 0.536269i) q^{5} +(-2.83666 + 1.72224i) q^{6} +(1.80644 - 3.95556i) q^{7} +(-2.47531 - 1.36853i) q^{8} +(0.356696 - 2.48088i) q^{9} +(5.32728 + 0.136135i) q^{10} +(0.791572 - 2.69585i) q^{11} +(4.36303 - 1.72901i) q^{12} +(-1.31919 + 0.602452i) q^{13} +(-3.45588 + 5.08687i) q^{14} +(-5.79048 + 6.68257i) q^{15} +(3.12684 + 2.49457i) q^{16} +(0.426368 + 0.274010i) q^{17} +(-1.08518 + 3.37437i) q^{18} +(-1.09247 - 1.69992i) q^{19} +(-7.39515 - 1.45214i) 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} +(1.98199 - 0.527360i) q^{26} +(0.626221 + 0.974418i) q^{27} +(6.02363 - 6.27332i) q^{28} +(0.637426 - 0.991854i) q^{29} +(9.65670 - 7.94488i) q^{30} +(-5.28380 + 6.09783i) q^{31} +(-3.76839 - 4.21891i) q^{32} +(-2.73886 - 5.99726i) q^{33} +(-0.529523 - 0.483062i) q^{34} +(-4.61648 + 15.7223i) q^{35} +(2.31256 - 4.44747i) q^{36} +(1.78283 + 0.256332i) q^{37} +(1.12034 + 2.62893i) q^{38} +(-1.41370 + 3.09556i) q^{39} +(9.96637 + 3.77694i) q^{40} +(1.06252 + 7.38997i) q^{41} +(1.68815 + 14.3317i) q^{42} +(0.318514 - 0.275994i) q^{43} +(3.27551 - 4.56593i) q^{44} +9.44454i q^{45} +(-6.25065 + 2.63237i) q^{46} +11.5799 q^{47} +(9.37854 - 0.381020i) q^{48} +(-7.79917 - 9.00072i) q^{49} +(-12.9204 + 1.52190i) q^{50} +(1.17719 - 0.169255i) q^{51} +(-2.88830 + 0.265608i) q^{52} +(8.99787 + 4.10919i) q^{53} +(-0.642194 - 1.50694i) q^{54} +(-1.50673 + 10.4796i) q^{55} +(-9.88478 + 7.31904i) q^{56} +(-4.54963 - 1.33589i) q^{57} +(-1.12374 + 1.23182i) q^{58} +(-1.14788 + 0.524220i) q^{59} +(-15.3462 + 8.78869i) q^{60} +(6.78339 + 5.87784i) q^{61} +(8.81172 - 7.24969i) q^{62} +(-9.16890 - 5.89249i) q^{63} +(4.25427 + 6.77504i) q^{64} +(4.59726 - 2.95448i) q^{65} +(2.39747 + 9.01049i) 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} +(-4.27808 + 5.65278i) q^{72} +(-3.83656 + 2.46561i) q^{73} +(-2.42491 - 0.779837i) q^{74} +(11.6706 - 18.1598i) q^{75} +(-0.939052 - 3.93078i) q^{76} +(-9.23365 - 8.00100i) q^{77} +(2.70452 - 3.98091i) q^{78} +(-4.36275 - 9.55308i) q^{79} +(-13.0003 - 7.62750i) q^{80} +(9.82250 + 2.88415i) q^{81} +(0.269727 - 10.5550i) q^{82} +(9.43680 + 1.35681i) q^{83} +(1.04236 - 20.3816i) q^{84} +(-1.73723 - 0.793364i) q^{85} +(-0.509478 + 0.309322i) q^{86} +(-0.393735 - 2.73849i) q^{87} +(-5.64872 + 5.58976i) q^{88} +(-7.96093 - 9.18740i) q^{89} +(2.23796 - 13.1678i) q^{90} +6.30641i q^{91} +(9.33854 - 2.18897i) q^{92} +18.9335i q^{93} +(-16.1449 - 2.74394i) q^{94} +(4.98635 + 5.75455i) q^{95} +(-13.1660 - 1.69109i) q^{96} +(0.199115 + 1.38487i) q^{97} +(8.74097 + 14.3971i) 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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