LMFDB - Embedded newform 99.2.m.b.4.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [99,2,Mod(4,99)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(99, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([10, 6]))

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

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

chi := DirichletCharacter("99.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.m (of order $15$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$9$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			4.4
Character	$\chi$	$=$	99.4
Dual form			99.2.m.b.25.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0603978 + 0.574647i) q^{2} +(0.641057 + 1.60905i) q^{3} +(1.62972 + 0.346409i) q^{4} +(-0.314048 - 2.98797i) q^{5} +(-0.963355 + 0.271198i) q^{6} +(-0.779082 + 0.865259i) q^{7} +(-0.654602 + 2.01466i) q^{8} +(-2.17809 + 2.06299i) q^{9} +O(q^{10})$	\(q+(-0.0603978 + 0.574647i) q^{2} +(0.641057 + 1.60905i) q^{3} +(1.62972 + 0.346409i) q^{4} +(-0.314048 - 2.98797i) q^{5} +(-0.963355 + 0.271198i) q^{6} +(-0.779082 + 0.865259i) q^{7} +(-0.654602 + 2.01466i) q^{8} +(-2.17809 + 2.06299i) q^{9} +1.73599 q^{10} +(-0.565602 - 3.26804i) q^{11} +(0.487356 + 2.84438i) q^{12} +(-3.60501 + 1.60505i) q^{13} +(-0.450163 - 0.499957i) q^{14} +(4.60647 - 2.42078i) q^{15} +(1.92600 + 0.857509i) q^{16} +(0.254185 - 0.184677i) q^{17} +(-1.05394 - 1.37623i) q^{18} +(1.96794 - 6.05670i) q^{19} +(0.523246 - 4.97835i) q^{20} +(-1.89168 - 0.698904i) q^{21} +(1.91213 - 0.127639i) q^{22} +(0.0427501 - 0.0740453i) q^{23} +(-3.66132 + 0.238222i) q^{24} +(-3.93860 + 0.837174i) q^{25} +(-0.704604 - 2.16855i) q^{26} +(-4.71573 - 2.18217i) q^{27} +(-1.56942 + 1.14025i) q^{28} +(-5.15218 + 5.72208i) q^{29} +(1.11287 + 2.79330i) q^{30} +(5.96439 - 2.65552i) q^{31} +(-2.72743 + 4.72404i) q^{32} +(4.89586 - 3.00508i) q^{33} +(0.0907715 + 0.157221i) q^{34} +(2.83004 + 2.05614i) q^{35} +(-4.26433 + 2.60759i) q^{36} +(-1.92922 - 5.93753i) q^{37} +(3.36160 + 1.49668i) q^{38} +(-4.89363 - 4.77171i) q^{39} +(6.22531 + 1.32323i) q^{40} +(3.88703 + 4.31698i) q^{41} +(0.515876 - 1.04484i) q^{42} +(3.39229 + 5.87562i) q^{43} +(0.210303 - 5.52194i) q^{44} +(6.84817 + 5.86020i) q^{45} +(0.0399679 + 0.0290384i) q^{46} +(0.320574 - 0.0681401i) q^{47} +(-0.145103 + 3.64874i) q^{48} +(0.589996 + 5.61344i) q^{49} +(-0.243197 - 2.31387i) q^{50} +(0.460101 + 0.290609i) q^{51} +(-6.43117 + 1.36699i) q^{52} +(1.96000 + 1.42402i) q^{53} +(1.53880 - 2.57808i) q^{54} +(-9.58718 + 2.71632i) q^{55} +(-1.23321 - 2.13598i) q^{56} +(11.0071 - 0.716169i) q^{57} +(-2.97699 - 3.30629i) q^{58} +(2.24586 + 0.477372i) q^{59} +(8.34586 - 2.34948i) q^{60} +(-12.5039 - 5.56709i) q^{61} +(1.16575 + 3.58780i) q^{62} +(-0.0881031 - 3.49185i) q^{63} +(0.861321 + 0.625787i) q^{64} +(5.92799 + 10.2676i) q^{65} +(1.43116 + 2.99489i) q^{66} +(-5.83989 + 10.1150i) q^{67} +(0.478226 - 0.212920i) q^{68} +(0.146548 + 0.0213198i) q^{69} +(-1.35248 + 1.50208i) q^{70} +(-7.05272 + 5.12410i) q^{71} +(-2.73043 - 5.73855i) q^{72} +(0.910538 + 2.80235i) q^{73} +(3.52850 - 0.750007i) q^{74} +(-3.87192 - 5.80073i) q^{75} +(5.30529 - 9.18904i) q^{76} +(3.26835 + 2.05668i) q^{77} +(3.03761 - 2.52391i) q^{78} +(0.928965 - 8.83851i) q^{79} +(1.95735 - 6.02412i) q^{80} +(0.488175 - 8.98675i) q^{81} +(-2.71551 + 1.97293i) q^{82} +(4.52916 + 2.01651i) q^{83} +(-2.84081 - 1.79431i) q^{84} +(-0.631634 - 0.701501i) q^{85} +(-3.58129 + 1.59449i) q^{86} +(-12.5100 - 4.62195i) q^{87} +(6.95423 + 0.999772i) q^{88} +2.12862 q^{89} +(-3.78116 + 3.58133i) q^{90} +(1.41981 - 4.36973i) q^{91} +(0.0953208 - 0.105864i) q^{92} +(8.09637 + 7.89467i) q^{93} +(0.0197945 + 0.188332i) q^{94} +(-18.7153 - 3.97805i) q^{95} +(-9.34966 - 1.36019i) q^{96} +(0.00928623 - 0.0883526i) q^{97} -3.26138 q^{98} +(7.97386 + 5.95127i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9}+O(q^{10}) $ 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9	\( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19} - 45 q^{20} - 16 q^{21} - 16 q^{22} + 20 q^{23} + 36 q^{24} + 11 q^{25} - 12 q^{26} + 27 q^{27} - 54 q^{28} - 23 q^{29} - 6 q^{30} + 3 q^{31} + 18 q^{32} + 28 q^{33} + 8 q^{34} + 18 q^{35} + 75 q^{36} - 42 q^{37} - q^{38} - 11 q^{39} - 25 q^{40} + 10 q^{41} + 61 q^{42} - 8 q^{43} + 38 q^{44} + 40 q^{45} - 18 q^{46} - 34 q^{47} - 50 q^{48} + q^{49} + 42 q^{51} - 27 q^{52} + 4 q^{53} + 34 q^{54} + 18 q^{55} + 114 q^{56} - 21 q^{57} + q^{58} - 16 q^{59} - 63 q^{60} - 3 q^{61} + 184 q^{62} - 10 q^{63} + 26 q^{64} + 84 q^{65} + 93 q^{66} + 10 q^{67} - 23 q^{68} + 42 q^{69} - 46 q^{70} - 48 q^{71} + 2 q^{72} - 40 q^{73} + 68 q^{74} + 28 q^{75} + 16 q^{76} - 26 q^{77} - 64 q^{78} + 19 q^{79} - 56 q^{80} + 14 q^{81} + 94 q^{82} + 7 q^{83} - 15 q^{84} + 25 q^{85} - 77 q^{86} - 120 q^{87} + 18 q^{88} - 56 q^{89} - 64 q^{90} + 20 q^{91} + 50 q^{92} - 53 q^{93} - 63 q^{94} - 77 q^{95} - 97 q^{96} - 33 q^{97} - 328 q^{98} - 182 q^{99}+O(q^{100}) \) 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.0603978	+	0.574647i	−0.0427077	+	0.406337i	0.952195	+	0.305492i	$0.0988210\pi$
$2$	−0.0603978	+	0.574647i	−0.0427077	+	0.406337i	−0.994902	+	0.100844i	$0.967846\pi$
$3$	0.641057	+	1.60905i	0.370114	+	0.928986i
$3$	0.641057	+	1.60905i	0.370114	+	0.928986i
$4$	1.62972	+	0.346409i	0.814862	+	0.173204i
$5$	−0.314048	−	2.98797i	−0.140447	−	1.33626i	−0.806889	−	0.590704i	$-0.798850\pi$
$5$	−0.314048	−	2.98797i	−0.140447	−	1.33626i	0.666442	−	0.745557i	$-0.267816\pi$
$6$	−0.963355	+	0.271198i	−0.393288	+	0.110716i
$7$	−0.779082	+	0.865259i	−0.294465	+	0.327037i	−0.872164	−	0.489213i	$-0.837284\pi$
$7$	−0.779082	+	0.865259i	−0.294465	+	0.327037i	0.577699	+	0.816250i	$0.303951\pi$
$8$	−0.654602	+	2.01466i	−0.231437	+	0.712289i
$9$	−2.17809	+	2.06299i	−0.726031	+	0.687662i
$10$	1.73599			0.548970
$11$	−0.565602	−	3.26804i	−0.170535	−	0.985352i
$11$	−0.565602	−	3.26804i	−0.170535	−	0.985352i
$12$	0.487356	+	2.84438i	0.140688	+	0.821101i
$13$	−3.60501	+	1.60505i	−0.999849	+	0.445161i	−0.840354	−	0.542037i	$-0.817653\pi$
$13$	−3.60501	+	1.60505i	−0.999849	+	0.445161i	−0.159495	+	0.987199i	$0.550986\pi$
$14$	−0.450163	−	0.499957i	−0.120311	−	0.133619i
$15$	4.60647	−	2.42078i	1.18939	−	0.625042i
$16$	1.92600	+	0.857509i	0.481499	+	0.214377i
$17$	0.254185	−	0.184677i	0.0616490	−	0.0447906i	−0.556534	−	0.830825i	$-0.687869\pi$
$17$	0.254185	−	0.184677i	0.0616490	−	0.0447906i	0.618183	+	0.786034i	$0.287869\pi$
$18$	−1.05394	−	1.37623i	−0.248415	−	0.324381i
$19$	1.96794	−	6.05670i	0.451477	−	1.38950i	−0.423746	−	0.905781i	$-0.639285\pi$
$19$	1.96794	−	6.05670i	0.451477	−	1.38950i	0.875222	−	0.483721i	$-0.160715\pi$
$20$	0.523246	−	4.97835i	0.117001	−	1.11319i
$21$	−1.89168	−	0.698904i	−0.412799	−	0.152513i
$22$	1.91213	−	0.127639i	0.407668	−	0.0272126i
$23$	0.0427501	−	0.0740453i	0.00891401	−	0.0154395i	−0.861534	−	0.507700i	$-0.830496\pi$
$23$	0.0427501	−	0.0740453i	0.00891401	−	0.0154395i	0.870448	+	0.492260i	$0.163829\pi$
$24$	−3.66132	+	0.238222i	−0.747365	+	0.0486268i
$25$	−3.93860	+	0.837174i	−0.787719	+	0.167435i
$26$	−0.704604	−	2.16855i	−0.138184	−	0.425287i
$27$	−4.71573	−	2.18217i	−0.907543	−	0.419959i
$28$	−1.56942	+	1.14025i	−0.296593	+	0.215487i
$29$	−5.15218	+	5.72208i	−0.956737	+	1.06256i	0.0412506	+	0.999149i	$0.486866\pi$
$29$	−5.15218	+	5.72208i	−0.956737	+	1.06256i	−0.997987	+	0.0634149i	$0.979801\pi$
$30$	1.11287	+	2.79330i	0.203182	+	0.509985i
$31$	5.96439	−	2.65552i	1.07124	−	0.476945i	0.206125	−	0.978526i	$-0.433915\pi$
$31$	5.96439	−	2.65552i	1.07124	−	0.476945i	0.865111	+	0.501581i	$0.167248\pi$
$32$	−2.72743	+	4.72404i	−0.482146	+	0.835101i
$33$	4.89586	−	3.00508i	0.852260	−	0.523118i
$34$	0.0907715	+	0.157221i	0.0155672	+	0.0269632i
$35$	2.83004	+	2.05614i	0.478363	+	0.347551i
$36$	−4.26433	+	2.60759i	−0.710721	+	0.434598i
$37$	−1.92922	−	5.93753i	−0.317162	−	0.976124i	−0.974855	−	0.222838i	$-0.928468\pi$
$37$	−1.92922	−	5.93753i	−0.317162	−	0.976124i	0.657694	−	0.753286i	$-0.271532\pi$
$38$	3.36160	+	1.49668i	0.545324	+	0.242794i
$39$	−4.89363	−	4.77171i	−0.783607	−	0.764085i
$40$	6.22531	+	1.32323i	0.984308	+	0.209221i
$41$	3.88703	+	4.31698i	0.607052	+	0.674199i	0.965816	−	0.259229i	$-0.0834685\pi$
$41$	3.88703	+	4.31698i	0.607052	+	0.674199i	−0.358764	+	0.933428i	$0.616802\pi$
$42$	0.515876	−	1.04484i	0.0796014	−	0.161222i
$43$	3.39229	+	5.87562i	0.517320	+	0.896024i	0.999798	+	0.0201157i	$0.00640347\pi$
$43$	3.39229	+	5.87562i	0.517320	+	0.896024i	−0.482478	+	0.875908i	$0.660263\pi$
$44$	0.210303	−	5.52194i	0.0317043	−	0.832463i
$45$	6.84817	+	5.86020i	1.02086	+	0.873587i
$46$	0.0399679	+	0.0290384i	0.00589294	+	0.00428147i
$47$	0.320574	−	0.0681401i	0.0467605	−	0.00993925i	−0.184472	−	0.982838i	$-0.559058\pi$
$47$	0.320574	−	0.0681401i	0.0467605	−	0.00993925i	0.231233	+	0.972899i	$0.425724\pi$
$48$	−0.145103	+	3.64874i	−0.0209438	+	0.526650i
$49$	0.589996	+	5.61344i	0.0842852	+	0.801920i
$50$	−0.243197	−	2.31387i	−0.0343933	−	0.327230i
$51$	0.460101	+	0.290609i	0.0644271	+	0.0406935i
$52$	−6.43117	+	1.36699i	−0.891843	+	0.189567i
$53$	1.96000	+	1.42402i	0.269227	+	0.195605i	0.714205	−	0.699937i	$-0.246789\pi$
$53$	1.96000	+	1.42402i	0.269227	+	0.195605i	−0.444978	+	0.895541i	$0.646789\pi$
$54$	1.53880	−	2.57808i	0.209404	−	0.350832i
$55$	−9.58718	+	2.71632i	−1.29274	+	0.366269i
$56$	−1.23321	−	2.13598i	−0.164795	−	0.285433i
$57$	11.0071	−	0.716169i	1.45793	−	0.0948590i
$58$	−2.97699	−	3.30629i	−0.390899	−	0.434137i
$59$	2.24586	+	0.477372i	0.292386	+	0.0621485i	0.351769	−	0.936087i	$-0.385580\pi$
$59$	2.24586	+	0.477372i	0.292386	+	0.0621485i	−0.0593835	+	0.998235i	$0.518913\pi$
$60$	8.34586	−	2.34948i	1.07745	−	0.303316i
$61$	−12.5039	−	5.56709i	−1.60096	−	0.712792i	−0.604478	−	0.796622i	$-0.706618\pi$
$61$	−12.5039	−	5.56709i	−1.60096	−	0.712792i	−0.996480	+	0.0838297i	$0.973285\pi$
$62$	1.16575	+	3.58780i	0.148050	+	0.455652i
$63$	−0.0881031	−	3.49185i	−0.0110999	−	0.439932i
$64$	0.861321	+	0.625787i	0.107665	+	0.0782233i
$65$	5.92799	+	10.2676i	0.735277	+	1.27354i
$66$	1.43116	+	2.99489i	0.176164	+	0.368646i
$67$	−5.83989	+	10.1150i	−0.713456	+	1.23574i	0.250096	+	0.968221i	$0.419538\pi$
$67$	−5.83989	+	10.1150i	−0.713456	+	1.23574i	−0.963552	+	0.267521i	$0.913795\pi$
$68$	0.478226	−	0.212920i	0.0579934	−	0.0258203i
$69$	0.146548	+	0.0213198i	0.0176423	+	0.00256661i
$70$	−1.35248	+	1.50208i	−0.161653	+	0.179533i
$71$	−7.05272	+	5.12410i	−0.837004	+	0.608119i	−0.921532	−	0.388302i	$-0.873062\pi$
$71$	−7.05272	+	5.12410i	−0.837004	+	0.608119i	0.0845279	+	0.996421i	$0.473062\pi$
$72$	−2.73043	−	5.73855i	−0.321784	−	0.676294i
$73$	0.910538	+	2.80235i	0.106570	+	0.327990i	0.990096	−	0.140393i	$-0.0448367\pi$
$73$	0.910538	+	2.80235i	0.106570	+	0.327990i	−0.883525	+	0.468383i	$0.844837\pi$
$74$	3.52850	−	0.750007i	0.410180	−	0.0871865i
$75$	−3.87192	−	5.80073i	−0.447091	−	0.669810i
$76$	5.30529	−	9.18904i	0.608559	−	1.05405i
$77$	3.26835	+	2.05668i	0.372463	+	0.234381i
$78$	3.03761	−	2.52391i	0.343942	−	0.285776i
$79$	0.928965	−	8.83851i	0.104517	−	0.994410i	−0.809055	−	0.587733i	$-0.800021\pi$
$79$	0.928965	−	8.83851i	0.104517	−	0.994410i	0.913572	−	0.406677i	$-0.133313\pi$
$80$	1.95735	−	6.02412i	0.218839	−	0.673517i
$81$	0.488175	−	8.98675i	0.0542417	−	0.998528i
$82$	−2.71551	+	1.97293i	−0.299878	+	0.217874i
$83$	4.52916	+	2.01651i	0.497140	+	0.221341i	0.639961	−	0.768408i	$-0.278951\pi$
$83$	4.52916	+	2.01651i	0.497140	+	0.221341i	−0.142821	+	0.989749i	$0.545617\pi$
$84$	−2.84081	−	1.79431i	−0.309958	−	0.195776i
$85$	−0.631634	−	0.701501i	−0.0685104	−	0.0760885i
$86$	−3.58129	+	1.59449i	−0.386181	+	0.171939i
$87$	−12.5100	−	4.62195i	−1.34121	−	0.495525i
$88$	6.95423	+	0.999772i	0.741323	+	0.106576i
$89$	2.12862			0.225634			0.112817	−	0.993616i	$-0.464013\pi$
$89$	2.12862			0.225634			0.112817	+	0.993616i	$0.464013\pi$
$90$	−3.78116	+	3.58133i	−0.398569	+	0.377506i
$91$	1.41981	−	4.36973i	0.148837	−	0.458072i
$92$	0.0953208	−	0.105864i	0.00993788	−	0.0110371i
$93$	8.09637	+	7.89467i	0.839555	+	0.818639i
$94$	0.0197945	+	0.188332i	0.00204165	+	0.0194250i
$95$	−18.7153	−	3.97805i	−1.92014	−	0.408139i
$96$	−9.34966	−	1.36019i	−0.954246	−	0.138824i
$97$	0.00928623	−	0.0883526i	0.000942874	−	0.00897084i	−0.994040	−	0.109013i	$-0.965231\pi$
$97$	0.00928623	−	0.0883526i	0.000942874	−	0.00897084i	0.994983	+	0.100042i	$0.0318977\pi$
$98$	−3.26138			−0.329449
$99$	7.97386	+	5.95127i	0.801403	+	0.598125i
$100$	−6.70883			−0.670883
$101$	0.214961	−	2.04522i	0.0213894	−	0.203507i	−0.978608	−	0.205733i	$-0.934042\pi$
$101$	0.214961	−	2.04522i	0.0213894	−	0.203507i	0.999998	+	0.00222652i	$0.000708725\pi$
$102$	−0.194787	+	0.246844i	−0.0192868	+	0.0244412i
$103$	2.95079	+	0.627210i	0.290750	+	0.0618009i	0.350978	−	0.936384i	$-0.385849\pi$
$103$	2.95079	+	0.627210i	0.290750	+	0.0618009i	−0.0602275	+	0.998185i	$0.519183\pi$
$104$	−0.873787	−	8.31352i	−0.0856818	−	0.815208i
$105$	−1.49422	+	5.87178i	−0.145821	+	0.573027i
$106$	−0.936690	+	1.04030i	−0.0909794	+	0.101043i
$107$	3.70600	−	11.4059i	0.358272	−	1.10265i	−0.595815	−	0.803121i	$-0.703171\pi$
$107$	3.70600	−	11.4059i	0.358272	−	1.10265i	0.954088	−	0.299527i	$-0.0968290\pi$
$108$	−6.92942	−	5.18991i	−0.666784	−	0.499399i
$109$	5.20013			0.498082			0.249041	−	0.968493i	$-0.419885\pi$
$109$	5.20013			0.498082			0.249041	+	0.968493i	$0.419885\pi$
$110$	−0.981882	−	5.67330i	−0.0936187	−	0.540928i
$111$	8.31705	−	6.91051i	0.789420	−	0.655916i
$112$	−2.24248	+	0.998415i	−0.211894	+	0.0943414i
$113$	12.8657	+	14.2889i	1.21031	+	1.34418i	0.922262	+	0.386566i	$0.126339\pi$
$113$	12.8657	+	14.2889i	1.21031	+	1.34418i	0.288046	+	0.957617i	$0.406995\pi$
$114$	−0.253260	+	6.36845i	−0.0237200	+	0.596460i
$115$	−0.234671	−	0.104482i	−0.0218832	−	0.00974301i
$116$	−10.3788	+	7.54065i	−0.963649	+	0.700132i
$117$	4.54084	−	10.9330i	0.419801	−	1.01076i
$118$	−0.409965	+	1.26174i	−0.0377403	+	0.116153i
$119$	−0.0382384	+	0.363814i	−0.00350531	+	0.0333508i
$120$	1.86163	+	10.8651i	0.169943	+	0.991844i
$121$	−10.3602	+	3.69682i	−0.941835	+	0.336074i
$122$	3.95432	−	6.84907i	0.358007	−	0.620086i
$123$	−4.45444	+	9.02185i	−0.401643	+	0.813473i
$124$	10.6402	−	2.26164i	0.955518	−	0.203102i
$125$	−0.903736	−	2.78141i	−0.0808326	−	0.248777i
$126$	2.01190	+	0.160272i	0.179234	+	0.0142782i
$127$	10.6652	−	7.74873i	0.946384	−	0.687588i	−0.00356461	−	0.999994i	$-0.501135\pi$
$127$	10.6652	−	7.74873i	0.946384	−	0.687588i	0.949949	+	0.312405i	$0.101135\pi$
$128$	−7.71165	+	8.56465i	−0.681620	+	0.757015i
$129$	−7.27952	+	9.22498i	−0.640926	+	0.812214i
$130$	−6.25827	+	2.78636i	−0.548887	+	0.244380i
$131$	8.98588	−	15.5640i	0.785100	−	1.35983i	−0.143839	−	0.989601i	$-0.545945\pi$
$131$	8.98588	−	15.5640i	0.785100	−	1.35983i	0.928939	−	0.370233i	$-0.120722\pi$
$132$	9.01989	−	3.20149i	0.785081	−	0.278654i
$133$	3.70742	+	6.42144i	0.321474	+	0.556810i
$134$	−5.45983	−	3.96680i	−0.471657	−	0.342679i
$135$	−5.03930	+	14.7758i	−0.433713	+	1.27170i
$136$	0.205670	+	0.632986i	0.0176360	+	0.0542781i
$137$	−14.9837	−	6.67119i	−1.28015	−	0.569958i	−0.349864	−	0.936801i	$-0.613772\pi$
$137$	−14.9837	−	6.67119i	−1.28015	−	0.569958i	−0.930283	+	0.366842i	$0.880439\pi$
$138$	−0.0211026	+	0.0829256i	−0.00179637	+	0.00705910i
$139$	11.6415	+	2.47448i	0.987421	+	0.209883i	0.673195	−	0.739465i	$-0.264922\pi$
$139$	11.6415	+	2.47448i	0.987421	+	0.209883i	0.314226	+	0.949348i	$0.398255\pi$
$140$	3.89991	+	4.33129i	0.329603	+	0.366061i
$141$	0.315147	+	0.472138i	0.0265402	+	0.0397612i
$142$	−2.51858	−	4.36231i	−0.211355	−	0.366077i
$143$	7.28438	+	10.8735i	0.609150	+	0.909287i
$144$	−5.96403	+	2.10557i	−0.497002	+	0.175464i
$145$	18.7154	+	13.5976i	1.55423	+	1.12922i
$146$	−1.66535	+	0.353982i	−0.137826	+	0.0292958i
$147$	−8.65409	+	4.54787i	−0.713777	+	0.375102i
$148$	−1.08729	−	10.3448i	−0.0893744	−	0.850340i
$149$	0.473693	+	4.50689i	0.0388065	+	0.369219i	0.996641	+	0.0818976i	$0.0260980\pi$
$149$	0.473693	+	4.50689i	0.0388065	+	0.369219i	−0.957834	+	0.287321i	$0.907235\pi$
$150$	3.56722	−	1.87464i	0.291263	−	0.153063i
$151$	2.86682	−	0.609361i	0.233298	−	0.0495891i	−0.0897788	−	0.995962i	$-0.528616\pi$
$151$	2.86682	−	0.609361i	0.233298	−	0.0495891i	0.323077	+	0.946373i	$0.395283\pi$
$152$	10.9140	+	7.92945i	0.885239	+	0.643164i
$153$	−0.172654	+	0.926624i	−0.0139583	+	0.0749131i
$154$	−1.37927	+	1.75393i	−0.111144	+	0.141336i
$155$	−9.80771	−	16.9874i	−0.787774	−	1.36446i
$156$	−6.32230	−	9.47177i	−0.506189	−	0.758348i
$157$	−12.0802	−	13.4165i	−0.964108	−	1.07075i	−0.997454	−	0.0713070i	$-0.977283\pi$
$157$	−12.0802	−	13.4165i	−0.964108	−	1.07075i	0.0333460	−	0.999444i	$-0.489384\pi$
$158$	5.02291	+	1.06765i	0.399602	+	0.0849379i
$159$	−1.03486	+	4.06662i	−0.0820694	+	0.322504i
$160$	14.9718	+	6.66589i	1.18363	+	0.526985i
$161$	0.0307625	+	0.0946773i	0.00242443	+	0.00746161i
$162$	5.13472	+	0.823308i	0.403422	+	0.0646852i
$163$	4.71129	+	3.42295i	0.369017	+	0.268106i	0.756803	−	0.653643i	$-0.226760\pi$
$163$	4.71129	+	3.42295i	0.369017	+	0.268106i	−0.387786	+	0.921749i	$0.626760\pi$
$164$	4.83934	+	8.38199i	0.377889	+	0.654523i
$165$	−10.5166	−	13.6849i	−0.818719	−	1.06537i
$166$	−1.43233	+	2.48087i	−0.111171	+	0.192553i
$167$	−4.58758	+	2.04252i	−0.354997	+	0.158055i	−0.576484	−	0.817108i	$-0.695576\pi$
$167$	−4.58758	+	2.04252i	−0.354997	+	0.158055i	0.221487	+	0.975163i	$0.428909\pi$
$168$	2.64635	−	3.35359i	0.204170	−	0.258735i
$169$	1.72118	−	1.91157i	0.132399	−	0.147044i
$170$	0.441265	−	0.320598i	0.0338435	−	0.0245887i
$171$	8.20853	+	17.2519i	0.627722	+	1.31928i
$172$	3.49313	+	10.7508i	0.266349	+	0.819738i
$173$	15.2492	−	3.24131i	1.15937	−	0.246433i	0.412221	−	0.911084i	$-0.364753\pi$
$173$	15.2492	−	3.24131i	1.15937	−	0.246433i	0.747153	+	0.664652i	$0.231420\pi$
$174$	3.41156	−	6.90966i	0.258630	−	0.523820i
$175$	2.34412	−	4.06013i	0.177199	−	0.306917i
$176$	1.71303	−	6.77925i	0.129124	−	0.511005i
$177$	0.671606	+	3.91972i	0.0504810	+	0.294624i
$178$	−0.128564	+	1.22321i	−0.00963629	+	0.0916832i
$179$	2.17822	−	6.70387i	0.162808	−	0.501071i	−0.836060	−	0.548638i	$-0.815147\pi$
$179$	2.17822	−	6.70387i	0.162808	−	0.501071i	0.998868	+	0.0475668i	$0.0151467\pi$
$180$	9.13060	+	11.9228i	0.680555	+	0.888671i
$181$	−2.02068	+	1.46811i	−0.150196	+	0.109124i	−0.660345	−	0.750962i	$-0.729590\pi$
$181$	−2.02068	+	1.46811i	−0.150196	+	0.109124i	0.510149	+	0.860086i	$0.329590\pi$
$182$	2.42530	+	1.07981i	0.179775	+	0.0800410i
$183$	0.942032	−	23.6882i	0.0696370	−	1.75108i
$184$	0.121192	+	0.134597i	0.00893437	+	0.00992262i
$185$	−17.1353	+	7.62912i	−1.25981	+	0.560904i
$186$	−5.02565	+	4.17573i	−0.368499	+	0.306180i
$187$	−0.747298	−	0.726235i	−0.0546479	−	0.0531076i
$188$	0.546051			0.0398249
$189$	5.56209	−	2.38024i	0.404582	−	0.173137i
$190$	3.41633	−	10.5144i	0.247847	−	0.762795i
$191$	−7.91112	+	8.78619i	−0.572428	+	0.635746i	−0.957944	−	0.286955i	$-0.907357\pi$
$191$	−7.91112	+	8.78619i	−0.572428	+	0.635746i	0.385516	+	0.922701i	$0.374024\pi$
$192$	−0.454767	+	1.78707i	−0.0328200	+	0.128971i
$193$	−0.705218	−	6.70970i	−0.0507627	−	0.482975i	−0.990139	−	0.140087i	$-0.955262\pi$
$193$	−0.705218	−	6.70970i	−0.0507627	−	0.482975i	0.939376	−	0.342887i	$-0.111405\pi$
$194$	0.0502106	+	0.0106726i	0.00360491	+	0.000766248i
$195$	−12.7209	+	16.1206i	−0.910962	+	1.15442i
$196$	−0.983012	+	9.35274i	−0.0702152	+	0.668053i
$197$	−20.6474			−1.47107			−0.735534	−	0.677488i	$-0.763069\pi$
$197$	−20.6474			−1.47107			−0.735534	+	0.677488i	$0.763069\pi$
$198$	−3.90148	+	4.22271i	−0.277266	+	0.300095i
$199$	−13.2862			−0.941832			−0.470916	−	0.882178i	$-0.656077\pi$
$199$	−13.2862			−0.941832			−0.470916	+	0.882178i	$0.656077\pi$
$200$	0.891593	−	8.48294i	0.0630451	−	0.599834i
$201$	−20.0192	−	2.91240i	−1.41205	−	0.205425i
$202$	1.16229	+	0.247053i	0.0817788	+	0.0173826i
$203$	−0.937103	−	8.91594i	−0.0657718	−	0.625777i
$204$	0.649169	+	0.632996i	0.0454509	+	0.0443186i
$205$	11.6783	−	12.9701i	0.815647	−	0.905868i
$206$	−0.538646	+	1.65778i	−0.0375292	+	0.115503i
$207$	0.0596408	+	0.249470i	0.00414532	+	0.0173394i
$208$	−8.31958			−0.576859
$209$	−20.9066	−	3.00563i	−1.44614	−	0.207904i
$210$	−3.28395	−	1.21329i	−0.226614	−	0.0837252i
$211$	−7.62355	+	3.39422i	−0.524827	+	0.233668i	−0.652009	−	0.758211i	$-0.726074\pi$
$211$	−7.62355	+	3.39422i	−0.524827	+	0.233668i	0.127182	+	0.991879i	$0.459407\pi$
$212$	2.70097	+	2.99973i	0.185503	+	0.206022i
$213$	−12.7661	−	8.06335i	−0.874722	−	0.552492i
$214$	6.33052	+	2.81853i	0.432746	+	0.192671i
$215$	16.4908	−	11.9813i	1.12467	−	0.817117i
$216$	7.48326	−	8.07213i	0.509171	−	0.549239i
$217$	−2.34904	+	7.22960i	−0.159463	+	0.490778i
$218$	−0.314076	+	2.98824i	−0.0212719	+	0.202389i
$219$	−3.92541	+	3.26156i	−0.265255	+	0.220396i
$220$	−16.5654	+	1.10578i	−1.11684	+	0.0745514i
$221$	−0.619925	+	1.07374i	−0.0417007	+	0.0722277i
$222$	3.46877	+	5.19675i	0.232809	+	0.348783i
$223$	0.375272	−	0.0797665i	0.0251301	−	0.00534156i	−0.195330	−	0.980738i	$-0.562578\pi$
$223$	0.375272	−	0.0797665i	0.0251301	−	0.00534156i	0.220460	+	0.975396i	$0.429244\pi$
$224$	−1.96263	−	6.04035i	−0.131134	−	0.403588i
$225$	6.85155	−	9.94871i	0.456770	−	0.663248i
$226$	−8.98811	+	6.53024i	−0.597880	+	0.434385i
$227$	12.0537	−	13.3870i	0.800035	−	0.888529i	−0.195712	−	0.980661i	$-0.562702\pi$
$227$	12.0537	−	13.3870i	0.800035	−	0.888529i	0.995747	+	0.0921329i	$0.0293685\pi$
$228$	18.1866	+	2.64580i	1.20444	+	0.175222i
$229$	12.2670	−	5.46161i	0.810624	−	0.360913i	0.0407985	−	0.999167i	$-0.487010\pi$
$229$	12.2670	−	5.46161i	0.810624	−	0.360913i	0.769826	+	0.638254i	$0.220343\pi$
$230$	0.0742139	−	0.128542i	0.00489352	−	0.00847583i
$231$	−1.21411	+	6.57739i	−0.0798824	+	0.432761i
$232$	−8.15540	−	14.1256i	−0.535428	−	0.927389i
$233$	2.72611	+	1.98063i	0.178593	+	0.129756i	0.673490	−	0.739196i	$-0.264794\pi$
$233$	2.72611	+	1.98063i	0.178593	+	0.129756i	−0.494897	+	0.868952i	$0.664794\pi$
$234$	6.00838	+	3.26971i	0.392780	+	0.213748i
$235$	−0.304276	−	0.936466i	−0.0198488	−	0.0610883i
$236$	3.49476	+	1.55597i	0.227490	+	0.101285i
$237$	14.8171	−	4.17123i	0.962476	−	0.270951i
$238$	−0.206755	−	0.0439472i	−0.0134020	−	0.00284867i
$239$	−15.5217	−	17.2386i	−1.00401	−	1.11507i	−0.993351	−	0.115128i	$-0.963272\pi$
$239$	−15.5217	−	17.2386i	−1.00401	−	1.11507i	−0.0106638	−	0.999943i	$-0.503394\pi$
$240$	10.9479	−	0.712317i	0.706683	−	0.0459799i
$241$	−7.58206	−	13.1325i	−0.488404	−	0.845940i	0.511507	−	0.859279i	$-0.329087\pi$
$241$	−7.58206	−	13.1325i	−0.488404	−	0.845940i	−0.999911	+	0.0133389i	$0.995754\pi$
$242$	−1.49863	−	6.17673i	−0.0963358	−	0.397055i
$243$	14.7731	−	4.97552i	0.947694	−	0.319180i
$244$	−18.4494	−	13.4043i	−1.18110	−	0.858120i
$245$	16.5875	−	3.52578i	1.05974	−	0.225254i
$246$	−4.91534	−	3.10463i	−0.313391	−	0.197944i
$247$	2.62688	+	24.9931i	0.167144	+	1.59027i
$248$	1.44566	+	13.7545i	0.0917993	+	0.873412i
$249$	−0.341223	+	8.58035i	−0.0216241	+	0.543758i
$250$	1.65291	−	0.351338i	0.104539	−	0.0222205i
$251$	0.471095	+	0.342271i	0.0297353	+	0.0216039i	0.602554	−	0.798078i	$-0.294150\pi$
$251$	0.471095	+	0.342271i	0.0297353	+	0.0216039i	−0.572818	+	0.819682i	$0.694150\pi$
$252$	1.06602	−	5.72127i	0.0671531	−	0.360406i
$253$	−0.266163	−	0.0978289i	−0.0167335	−	0.00615045i
$254$	3.80863	+	6.59673i	0.238974	+	0.413916i
$255$	0.723838	−	1.46603i	0.0453285	−	0.0918066i
$256$	−3.03110	−	3.36638i	−0.189444	−	0.210399i
$257$	10.7317	+	2.28109i	0.669423	+	0.142290i	0.530072	−	0.847953i	$-0.322165\pi$
$257$	10.7317	+	2.28109i	0.669423	+	0.142290i	0.139351	+	0.990243i	$0.455498\pi$
$258$	−4.86144	−	4.74032i	−0.302660	−	0.295120i
$259$	6.64052	+	2.95655i	0.412622	+	0.183711i
$260$	6.10421	+	18.7868i	0.378567	+	1.16511i
$261$	−0.582638	−	23.0921i	−0.0360644	−	1.42937i
$262$	8.40108	+	6.10374i	0.519020	+	0.377090i
$263$	7.19768	+	12.4668i	0.443828	+	0.768733i	0.997970	−	0.0636896i	$-0.0202868\pi$
$263$	7.19768	+	12.4668i	0.443828	+	0.768733i	−0.554142	+	0.832422i	$0.686953\pi$
$264$	2.84937	+	11.8306i	0.175367	+	0.728124i
$265$	3.63940	−	6.30363i	0.223567	−	0.387229i
$266$	−3.91398	+	1.74262i	−0.239982	+	0.106847i
$267$	1.36457	+	3.42506i	0.0835102	+	0.209611i
$268$	−13.0213	+	14.4617i	−0.795404	+	0.883386i
$269$	−0.395590	+	0.287413i	−0.0241195	+	0.0175239i	−0.599780	−	0.800165i	$-0.704745\pi$
$269$	−0.395590	+	0.287413i	−0.0241195	+	0.0175239i	0.575660	+	0.817689i	$0.304745\pi$
$270$	−8.18649	−	3.78824i	−0.498214	−	0.230545i
$271$	6.77950	+	20.8652i	0.411825	+	1.26747i	0.915060	+	0.403318i	$0.132143\pi$
$271$	6.77950	+	20.8652i	0.411825	+	1.26747i	−0.503234	+	0.864150i	$0.667857\pi$
$272$	0.647922	−	0.137720i	0.0392861	−	0.00835051i
$273$	7.94130	−	0.516695i	0.480629	−	0.0312718i
$274$	4.73856	−	8.20743i	0.286267	−	0.495829i
$275$	4.96360	+	12.3980i	0.299316	+	0.747627i
$276$	0.231447	+	0.0855109i	0.0139315	+	0.00514715i
$277$	−0.299947	+	2.85381i	−0.0180221	+	0.171469i	−0.999831	−	0.0184051i	$-0.994141\pi$
$277$	−0.299947	+	2.85381i	−0.0180221	+	0.171469i	0.981809	+	0.189874i	$0.0608078\pi$
$278$	−2.12508	+	6.54031i	−0.127454	+	0.392262i
$279$	−7.51270	+	18.0884i	−0.449773	+	1.08292i
$280$	−5.99497	+	4.35560i	−0.358268	+	0.260297i
$281$	16.6065	+	7.39368i	0.990660	+	0.441070i	0.837089	−	0.547067i	$-0.184256\pi$
$281$	16.6065	+	7.39368i	0.990660	+	0.441070i	0.153571	+	0.988138i	$0.450922\pi$
$282$	−0.290347	+	0.152582i	−0.0172899	+	0.00908613i
$283$	−13.7420	−	15.2620i	−0.816878	−	0.907235i	0.180200	−	0.983630i	$-0.442326\pi$
$283$	−13.7420	−	15.2620i	−0.816878	−	0.907235i	−0.997078	+	0.0763955i	$0.975659\pi$
$284$	−13.2690	+	5.90775i	−0.787372	+	0.350561i
$285$	−5.59665	−	32.6640i	−0.331517	−	1.93485i
$286$	−6.68838	+	3.52921i	−0.395492	+	0.208686i
$287$	−6.76362			−0.399244
$288$	−3.80505	−	15.9160i	−0.224214	−	0.937862i
$289$	−5.22278	+	16.0741i	−0.307223	+	0.945534i
$290$	−8.94417	+	9.93350i	−0.525219	+	0.583315i
$291$	0.148117	−	0.0416970i	0.00868276	−	0.00244432i
$292$	0.513168	+	4.88247i	0.0300309	+	0.285725i
$293$	−0.841272	−	0.178818i	−0.0491476	−	0.0104467i	0.183272	−	0.983062i	$-0.441331\pi$
$293$	−0.841272	−	0.178818i	−0.0491476	−	0.0104467i	−0.232420	+	0.972616i	$0.574664\pi$
$294$	−2.09073	−	5.24773i	−0.121934	−	0.306054i
$295$	0.721065	−	6.86047i	0.0419820	−	0.399432i
$296$	13.2250			0.768685
$297$	−4.46420	+	16.6454i	−0.259039	+	0.965867i
$298$	−2.61848			−0.151684
$299$	−0.0352677	+	0.335550i	−0.00203959	+	0.0194054i
$300$	−4.30074	−	10.7949i	−0.248303	−	0.623241i
$301$	−7.72681	−	1.64238i	−0.445366	−	0.0946654i
$302$	0.177018	+	1.68421i	0.0101862	+	0.0969155i
$303$	3.42866	−	0.965217i	0.196972	−	0.0554503i
$304$	8.98392	−	9.97766i	0.515263	−	0.572258i
$305$	−12.7075	+	39.1095i	−0.727627	+	2.23941i
$306$	−0.522053	−	0.155181i	−0.0298438	−	0.00887112i
$307$	3.48920			0.199139			0.0995696	−	0.995031i	$-0.468253\pi$
$307$	3.48920			0.199139			0.0995696	+	0.995031i	$0.468253\pi$
$308$	4.61406	+	4.48401i	0.262910	+	0.255500i
$309$	0.882412	+	5.15005i	0.0501986	+	0.292976i
$310$	10.3541	−	4.60996i	0.588076	−	0.261828i
$311$	7.25692	+	8.05963i	0.411502	+	0.457020i	0.912892	−	0.408202i	$-0.133844\pi$
$311$	7.25692	+	8.05963i	0.411502	+	0.457020i	−0.501389	+	0.865222i	$0.667178\pi$
$312$	12.8167	−	6.73541i	0.725605	−	0.381317i
$313$	−25.8360	−	11.5029i	−1.46034	−	0.650185i	−0.485732	−	0.874108i	$-0.661447\pi$
$313$	−25.8360	−	11.5029i	−1.46034	−	0.650185i	−0.974607	+	0.223923i	$0.928114\pi$
$314$	8.43935	−	6.13155i	0.476260	−	0.346023i
$315$	−10.4059	+	1.35986i	−0.586304	+	0.0766193i
$316$	4.57569	−	14.0825i	0.257403	−	0.792204i
$317$	0.116291	−	1.10643i	0.00653154	−	0.0621434i	−0.990771	−	0.135549i	$-0.956720\pi$
$317$	0.116291	−	1.10643i	0.00653154	−	0.0621434i	0.997302	+	0.0734057i	$0.0233868\pi$
$318$	−2.27437	−	0.840291i	−0.127540	−	0.0471212i
$319$	21.6141	+	13.6011i	1.21016	+	0.761517i
$320$	1.59933	−	2.77013i	0.0894055	−	0.154855i
$321$	20.7284	−	1.34868i	1.15695	−	0.0752760i
$322$	−0.0562640	+	0.0119593i	−0.00313547	+	0.000666464i
$323$	−0.618308	−	1.90296i	−0.0344036	−	0.105883i
$324$	3.90868	−	14.4768i	0.217149	−	0.804268i
$325$	12.8550	−	9.33967i	0.713065	−	0.518072i
$326$	−2.25154	+	2.50059i	−0.124701	+	0.138495i
$327$	3.33358	+	8.36727i	0.184347	+	0.462711i
$328$	−11.2417	+	5.00512i	−0.620719	+	0.276362i
$329$	−0.190795	+	0.330466i	−0.0105188	+	0.0182192i
$330$	8.49919	−	5.21681i	0.467865	−	0.287176i
$331$	6.18915	+	10.7199i	0.340187	+	0.589221i	0.984467	−	0.175569i	$-0.0561764\pi$
$331$	6.18915	+	10.7199i	0.340187	+	0.589221i	−0.644281	+	0.764789i	$0.722843\pi$
$332$	6.68275	+	4.85530i	0.366763	+	0.266469i
$333$	16.4511	+	8.95254i	0.901513	+	0.490596i
$334$	−0.896648	−	2.75960i	−0.0490624	−	0.150999i
$335$	32.0573	+	14.2728i	1.75148	+	0.779807i
$336$	−3.04406	−	2.96822i	−0.166067	−	0.161930i
$337$	−13.1792	−	2.80132i	−0.717916	−	0.152598i	−0.165552	−	0.986201i	$-0.552941\pi$
$337$	−13.1792	−	2.80132i	−0.717916	−	0.152598i	−0.552364	+	0.833603i	$0.686274\pi$
$338$	0.994521	+	1.10453i	0.0540948	+	0.0600783i
$339$	−14.7438	+	29.8616i	−0.800775	+	1.62186i
$340$	−0.786384	−	1.36206i	−0.0426477	−	0.0738679i
$341$	−12.0518	−	17.9899i	−0.652642	−	0.974208i
$342$	−10.4095	+	3.67503i	−0.562882	+	0.198723i
$343$	−11.9104	−	8.65342i	−0.643102	−	0.467241i
$344$	−14.0580	+	2.98811i	−0.757955	+	0.161108i
$345$	0.0176799	−	0.444576i	0.000951853	−	0.0239352i
$346$	0.941593	+	8.95866i	0.0506204	+	0.481621i
$347$	−1.01802	−	9.68582i	−0.0546502	−	0.519962i	−0.987265	−	0.159087i	$-0.949145\pi$
$347$	−1.01802	−	9.68582i	−0.0546502	−	0.519962i	0.932614	−	0.360875i	$-0.117522\pi$
$348$	−18.7867	−	11.8661i	−1.00707	−	0.636088i
$349$	4.34317	−	0.923168i	0.232484	−	0.0494161i	−0.0901962	−	0.995924i	$-0.528749\pi$
$349$	4.34317	−	0.923168i	0.232484	−	0.0494161i	0.322680	+	0.946508i	$0.395416\pi$
$350$	2.19156	+	1.59226i	0.117144	+	0.0851100i
$351$	20.5027	+	0.297748i	1.09436	+	0.0158926i
$352$	16.9810	+	6.24142i	0.905090	+	0.332669i
$353$	−16.2618	−	28.1662i	−0.865527	−	1.49914i	−0.866523	−	0.499137i	$-0.833651\pi$
$353$	−16.2618	−	28.1662i	−0.865527	−	1.49914i	0.000996749	−	1.00000i	$-0.499683\pi$
$354$	−2.29302	+	0.149194i	−0.121873	+	0.00792956i
$355$	17.5256	+	19.4641i	0.930160	+	1.03305i
$356$	3.46907	+	0.737373i	0.183860	+	0.0390807i
$357$	−0.609909	+	0.171698i	−0.0322798	+	0.00908722i
$358$	3.72080	+	1.65661i	0.196650	+	0.0875543i
$359$	−8.58143	−	26.4109i	−0.452911	−	1.39392i	−0.873571	−	0.486697i	$-0.838201\pi$
$359$	−8.58143	−	26.4109i	−0.452911	−	1.39392i	0.420660	−	0.907218i	$-0.361799\pi$
$360$	−16.2891	+	9.96061i	−0.858512	+	0.524970i
$361$	−17.4395	−	12.6705i	−0.917868	−	0.666870i
$362$	−0.721600	−	1.24985i	−0.0379264	−	0.0656905i
$363$	−12.5898	−	14.3002i	−0.660795	−	0.750566i
$364$	3.82761	−	6.62962i	0.200621	−	0.347487i
$365$	8.08737	−	3.60073i	0.423312	−	0.188471i
$366$	13.5555	+	1.97205i	0.708555	+	0.103081i
$367$	0.784353	−	0.871112i	0.0409429	−	0.0454717i	−0.722326	−	0.691553i	$-0.756927\pi$
$367$	0.784353	−	0.871112i	0.0409429	−	0.0454717i	0.763268	+	0.646082i	$0.223593\pi$
$368$	0.145831	−	0.105952i	0.00760197	−	0.00552315i
$369$	−17.3722	−	1.38390i	−0.904359	−	0.0720430i
$370$	−3.34912	−	10.3075i	−0.174112	−	0.535862i
$371$	−2.75915	+	0.586475i	−0.143248	+	0.0304483i
$372$	10.4601	+	15.6708i	0.542330	+	0.812493i
$373$	−10.8834	+	18.8506i	−0.563520	+	0.976046i	0.433665	+	0.901074i	$0.357220\pi$
$373$	−10.8834	+	18.8506i	−0.563520	+	0.976046i	−0.997186	+	0.0749719i	$0.976113\pi$
$374$	0.462464	−	0.385570i	0.0239134	−	0.0199373i
$375$	3.89609	−	3.23720i	0.201193	−	0.167168i
$376$	−0.0725693	+	0.690451i	−0.00374248	+	0.0356073i
$377$	9.38942	−	28.8977i	0.483580	−	1.48831i
$378$	1.03186	+	3.34000i	0.0530730	+	0.171791i
$379$	13.1440	−	9.54967i	0.675161	−	0.490533i	−0.196588	−	0.980486i	$-0.562986\pi$
$379$	13.1440	−	9.54967i	0.675161	−	0.490533i	0.871749	+	0.489953i	$0.162986\pi$
$380$	−29.1227	−	12.9663i	−1.49396	−	0.665155i
$381$	19.3051	+	12.1935i	0.989031	+	0.624692i
$382$	−4.57114	−	5.07676i	−0.233880	−	0.259750i
$383$	5.65791	−	2.51906i	0.289105	−	0.128718i	−0.257060	−	0.966396i	$-0.582754\pi$
$383$	5.65791	−	2.51906i	0.289105	−	0.128718i	0.546165	+	0.837677i	$0.316087\pi$
$384$	−18.7246	−	6.91801i	−0.955534	−	0.353033i
$385$	5.11888	−	10.4116i	0.260882	−	0.530626i
$386$	3.89830			0.198418
$387$	−19.5100	−	5.79940i	−0.991752	−	0.294800i
$388$	0.0457401	−	0.140773i	0.00232210	−	0.00714669i
$389$	−0.483924	+	0.537452i	−0.0245359	+	0.0272499i	−0.755288	−	0.655393i	$-0.772503\pi$
$389$	−0.483924	+	0.537452i	−0.0245359	+	0.0272499i	0.730752	+	0.682643i	$0.239170\pi$
$390$	−8.49531	−	8.28367i	−0.430177	−	0.419460i
$391$	−0.00280798	−	0.0267162i	−0.000142006	−	0.00135110i
$392$	−11.6954	−	2.48593i	−0.590705	−	0.125558i
$393$	30.8037	+	4.48134i	1.55384	+	0.226054i
$394$	1.24706	−	11.8650i	0.0628259	−	0.597749i
$395$	−26.7009			−1.34347
$396$	10.9336	+	12.4611i	0.549435	+	0.626196i
$397$	4.08994			0.205268			0.102634	−	0.994719i	$-0.467273\pi$
$397$	4.08994			0.205268			0.102634	+	0.994719i	$0.467273\pi$
$398$	0.802456	−	7.63486i	0.0402235	−	0.382701i
$399$	−7.95577	+	10.0819i	−0.398286	+	0.504728i
$400$	−8.30361	−	1.76499i	−0.415180	−	0.0882493i
$401$	0.590196	+	5.61534i	0.0294730	+	0.280417i	0.999325	+	0.0367238i	$0.0116922\pi$
$401$	0.590196	+	5.61534i	0.0294730	+	0.280417i	−0.969852	+	0.243693i	$0.921641\pi$
$402$	2.88272	−	11.3281i	0.143777	−	0.564994i
$403$	−17.2394	+	19.1463i	−0.858757	+	0.953746i
$404$	1.05881	−	3.25868i	0.0526777	−	0.162125i
$405$	−27.0054	+	1.36362i	−1.34191	+	0.0677588i
$406$	5.18012			0.257085
$407$	−18.3129	+	9.66305i	−0.907738	+	0.478980i
$408$	−0.886662	+	0.736713i	−0.0438963	+	0.0364727i
$409$	8.63188	−	3.84316i	0.426819	−	0.190032i	−0.182073	−	0.983285i	$-0.558281\pi$
$409$	8.63188	−	3.84316i	0.426819	−	0.190032i	0.608892	+	0.793253i	$0.291614\pi$
$410$	6.74786	+	7.49426i	0.333253	+	0.370115i
$411$	1.12886	−	28.3862i	0.0556827	−	1.40019i
$412$	4.59171	+	2.04436i	0.226217	+	0.100718i
$413$	−2.16276	+	1.57134i	−0.106422	+	0.0773204i
$414$	−0.146960	+	0.0192049i	−0.00722267	+	0.000943871i
$415$	4.60290	−	14.1663i	0.225948	−	0.695395i
$416$	2.25006	−	21.4079i	0.110318	−	1.04961i
$417$	3.48131	+	20.3181i	0.170480	+	0.994981i
$418$	2.98989	−	11.8324i	0.146240	−	0.578741i
$419$	−0.0757820	+	0.131258i	−0.00370219	+	0.00641238i	−0.867871	−	0.496790i	$-0.834512\pi$
$419$	−0.0757820	+	0.131258i	−0.00370219	+	0.00641238i	0.864168	+	0.503203i	$0.167845\pi$
$420$	−4.46921	+	9.05176i	−0.218075	+	0.441681i
$421$	−16.6056	+	3.52962i	−0.809306	+	0.172023i	−0.593939	−	0.804510i	$-0.702428\pi$
$421$	−16.6056	+	3.52962i	−0.809306	+	0.172023i	−0.215367	+	0.976533i	$0.569095\pi$
$422$	−1.49003	−	4.58585i	−0.0725337	−	0.223236i
$423$	−0.557668	+	0.809755i	−0.0271147	+	0.0393716i
$424$	−4.15194	+	3.01656i	−0.201636	+	0.146497i
$425$	−0.846527	+	0.940164i	−0.0410626	+	0.0456047i
$426$	5.40463	−	6.84901i	0.261855	−	0.331836i
$427$	14.5585	−	6.48187i	0.704536	−	0.313680i
$428$	9.99085	−	17.3047i	0.482926	−	0.836453i
$429$	−12.8263	+	18.6915i	−0.619260	+	0.902432i
$430$	5.88900	+	10.2000i	0.283993	+	0.491890i
$431$	20.5242	+	14.9117i	0.988618	+	0.718273i	0.959618	−	0.281307i	$-0.0907678\pi$
$431$	20.5242	+	14.9117i	0.988618	+	0.718273i	0.0289998	+	0.999579i	$0.490768\pi$
$432$	−7.21125	−	8.24664i	−0.346952	−	0.396767i
$433$	5.10950	+	15.7254i	0.245547	+	0.755716i	0.995546	+	0.0942769i	$0.0300539\pi$
$433$	5.10950	+	15.7254i	0.245547	+	0.755716i	−0.749999	+	0.661439i	$0.769946\pi$
$434$	−4.01259	−	1.78652i	−0.192611	−	0.0857558i
$435$	−9.88152	+	38.8309i	−0.473783	+	1.86180i
$436$	8.47477	+	1.80137i	0.405868	+	0.0862699i
$437$	−0.364341	−	0.404641i	−0.0174288	−	0.0193566i
$438$	−1.63716	−	2.45272i	−0.0782266	−	0.117195i
$439$	19.6207	+	33.9840i	0.936443	+	1.62197i	0.772040	+	0.635574i	$0.219237\pi$
$439$	19.6207	+	33.9840i	0.936443	+	1.62197i	0.164403	+	0.986393i	$0.447430\pi$
$440$	0.803326	−	21.0930i	0.0382971	−	1.00557i
$441$	−12.8655	−	11.0094i	−0.612643	−	0.524259i
$442$	−0.579580	−	0.421089i	−0.0275678	−	0.0200292i
$443$	−31.4859	+	6.69254i	−1.49594	+	0.317972i	−0.881951	−	0.471341i	$-0.843770\pi$
$443$	−31.4859	+	6.69254i	−1.49594	+	0.317972i	−0.613991	+	0.789313i	$0.710437\pi$
$444$	15.9484	−	8.38112i	0.756876	−	0.397751i
$445$	−0.668490	−	6.36026i	−0.0316895	−	0.301505i
$446$	0.0231720	+	0.220466i	0.00109722	+	0.0104394i
$447$	−6.94815	+	3.65137i	−0.328636	+	0.172704i
$448$	−1.21251	+	0.257726i	−0.0572856	+	0.0121764i
$449$	20.9085	+	15.1909i	0.986731	+	0.716902i	0.959203	−	0.282719i	$-0.0912364\pi$
$449$	20.9085	+	15.1909i	0.986731	+	0.716902i	0.0275281	+	0.999621i	$0.491236\pi$
$450$	5.30318	+	4.53810i	0.249994	+	0.213928i
$451$	11.9096	−	15.1447i	0.560799	−	0.713134i
$452$	16.0178	+	27.7437i	0.753415	+	1.30495i
$453$	2.81829	+	4.22222i	0.132415	+	0.198377i
$454$	6.96480	+	7.73519i	0.326874	+	0.363030i
$455$	−13.5025	−	2.87005i	−0.633007	−	0.134550i
$456$	−5.76243	+	22.6443i	−0.269851	+	1.06042i
$457$	−11.6169	−	5.17218i	−0.543416	−	0.241944i	0.116623	−	0.993176i	$-0.462793\pi$
$457$	−11.6169	−	5.17218i	−0.543416	−	0.241944i	−0.660038	+	0.751232i	$0.729460\pi$
$458$	2.39760	+	7.37904i	0.112032	+	0.344800i
$459$	−1.60167	+	0.316209i	−0.0747594	+	0.0147594i
$460$	−0.346255	−	0.251569i	−0.0161442	−	0.0117295i
$461$	9.51087	+	16.4733i	0.442965	+	0.767238i	0.997908	−	0.0646502i	$-0.0205932\pi$
$461$	9.51087	+	16.4733i	0.442965	+	0.767238i	−0.554943	+	0.831889i	$0.687260\pi$
$462$	−3.70635	−	1.09494i	−0.172435	−	0.0509414i
$463$	11.4334	−	19.8032i	0.531353	−	0.920331i	−0.467977	−	0.883741i	$-0.655017\pi$
$463$	11.4334	−	19.8032i	0.531353	−	0.920331i	0.999330	−	0.0365903i	$-0.0116497\pi$
$464$	−14.8298	+	6.60266i	−0.688457	+	0.306521i
$465$	21.0464	−	26.6710i	0.976003	−	1.23684i
$466$	−1.30281	+	1.44692i	−0.0603517	+	0.0670274i
$467$	−12.8819	+	9.35921i	−0.596101	+	0.433093i	−0.844493	−	0.535567i	$-0.820098\pi$
$467$	−12.8819	+	9.35921i	−0.596101	+	0.433093i	0.248392	+	0.968660i	$0.420098\pi$
$468$	11.1876	−	16.2448i	0.517147	−	0.750918i
$469$	−4.20232	−	12.9334i	−0.194045	−	0.597210i
$470$	0.556515	−	0.118291i	0.0256701	−	0.00545635i
$471$	13.8437	−	28.0385i	0.637883	−	1.29194i
$472$	−2.43188	+	4.21215i	−0.111936	+	0.193880i
$473$	17.2831	−	14.4094i	0.794677	−	0.662545i
$474$	1.50206	+	8.76655i	0.0689920	+	0.402661i
$475$	−2.68041	+	25.5024i	−0.122986	+	1.17013i
$476$	−0.188347	+	0.579671i	−0.00863285	+	0.0265692i
$477$	−7.20680	+	0.941798i	−0.329977	+	0.0431220i
$478$	10.8436	−	7.87832i	0.495973	−	0.360346i
$479$	−14.9730	−	6.66640i	−0.684133	−	0.304596i	0.0350809	−	0.999384i	$-0.488831\pi$
$479$	−14.9730	−	6.66640i	−0.684133	−	0.304596i	−0.719214	+	0.694789i	$0.755498\pi$
$480$	−1.12797	+	28.3637i	−0.0514843	+	1.29462i
$481$	16.4849	+	18.3083i	0.751647	+	0.834788i
$482$	8.00450	−	3.56383i	0.364595	−	0.162328i
$483$	−0.132620	+	0.110192i	−0.00603442	+	0.00501391i
$484$	−18.1649	+	2.43594i	−0.825676	+	0.110724i
$485$	−0.266911			−0.0121198
$486$	1.96690	+	8.78982i	0.0892205	+	0.398714i
$487$	7.04142	−	21.6713i	0.319077	−	0.982019i	−0.654966	−	0.755658i	$-0.727317\pi$
$487$	7.04142	−	21.6713i	0.319077	−	0.982019i	0.974044	−	0.226361i	$-0.0726828\pi$
$488$	19.4008	−	21.5468i	0.878234	−	0.975378i
$489$	−2.48750	+	9.77501i	−0.112489	+	0.442041i
$490$	1.02423	+	9.74490i	0.0462700	+	0.440230i
$491$	42.6893	+	9.07389i	1.92654	+	0.409499i	0.999394	+	0.0348013i	$0.0110798\pi$
$491$	42.6893	+	9.07389i	1.92654	+	0.409499i	0.927147	+	0.374698i	$0.122253\pi$
$492$	−10.3848	+	13.1601i	−0.468181	+	0.593302i
$493$	−0.252876	+	2.40596i	−0.0113890	+	0.108359i
$494$	−14.5209			−0.653324
$495$	15.2780	−	25.6946i	0.686696	−	1.15489i
$496$	13.7645			0.618045
$497$	1.06098	−	10.0945i	0.0475914	−	0.452801i
$498$	−4.91006	−	0.714317i	−0.220025	−	0.0320093i
$499$	19.6642	+	4.17976i	0.880291	+	0.187112i	0.625819	−	0.779969i	$-0.284765\pi$
$499$	19.6642	+	4.17976i	0.880291	+	0.187112i	0.254472	+	0.967080i	$0.418098\pi$
$500$	−0.509335	−	4.84600i	−0.0227781	−	0.216720i
$501$	−6.22742	−	6.07227i	−0.278220	−	0.271289i
$502$	−0.225138	+	0.250041i	−0.0100484	+	0.0111599i
$503$	−3.27815	+	10.0891i	−0.146165	+	0.449850i	−0.997159	−	0.0753254i	$-0.976000\pi$
$503$	−3.27815	+	10.0891i	−0.146165	+	0.449850i	0.850994	+	0.525176i	$0.176000\pi$
$504$	7.09255	+	2.10827i	0.315927	+	0.0939100i
$505$	−6.17856			−0.274942
$506$	0.0722927	−	0.147041i	0.00321380	−	0.00653676i
$507$	4.17919	+	1.54405i	0.185604	+	0.0685736i
$508$	20.0656	−	8.93377i	0.890266	−	0.396372i
$509$	−29.7551	−	33.0464i	−1.31887	−	1.46476i	−0.785475	−	0.618894i	$-0.787581\pi$
$509$	−29.7551	−	33.0464i	−1.31887	−	1.46476i	−0.533399	−	0.845864i	$-0.679086\pi$
$510$	0.798734	+	0.504496i	0.0353685	+	0.0223395i
$511$	−3.13414	−	1.39541i	−0.138646	−	0.0617292i
$512$	−16.5301	+	12.0098i	−0.730534	+	0.530764i
$513$	−22.4970	+	24.2674i	−0.993268	+	1.07143i
$514$	−1.95899	+	6.02915i	−0.0864073	+	0.265934i
$515$	0.947394	−	9.01385i	0.0417472	−	0.397198i
$516$	−15.0592	+	12.5125i	−0.662946	+	0.550831i
$517$	−0.404002	−	1.00911i	−0.0177680	−	0.0443805i
$518$	−2.10004	+	3.63738i	−0.0922707	+	0.159817i
$519$	14.9910	+	22.4589i	0.658033	+	0.985834i
$520$	−24.5661	+	5.22169i	−1.07730	+	0.228986i
$521$	5.23819	+	16.1215i	0.229489	+	0.706296i	0.997805	+	0.0662243i	$0.0210953\pi$
$521$	5.23819	+	16.1215i	0.229489	+	0.706296i	−0.768315	+	0.640071i	$0.778905\pi$
$522$	13.3050	+	1.05990i	0.582344	+	0.0463906i
$523$	−24.4438	+	17.7595i	−1.06885	+	0.776567i	−0.975706	−	0.219085i	$-0.929693\pi$
$523$	−24.4438	+	17.7595i	−1.06885	+	0.776567i	−0.0931472	+	0.995652i	$0.529693\pi$
$524$	20.0360	−	22.2523i	0.875277	−	0.972094i
$525$	8.03567	+	1.16903i	0.350706	+	0.0510207i
$526$	−7.59870	+	3.38316i	−0.331319	+	0.147513i
$527$	1.02565	−	1.77648i	0.0446780	−	0.0773845i
$528$	12.0063	−	1.58953i	0.522507	−	0.0691755i
$529$	11.4963	+	19.9123i	0.499841	+	0.865750i
$530$	3.40255	+	2.47210i	0.147797	+	0.107381i
$531$	−5.87650	+	3.59341i	−0.255018	+	0.155941i
$532$	3.81763	+	11.7495i	0.165515	+	0.509404i
$533$	−20.9417	−	9.32386i	−0.907087	−	0.403861i
$534$	−2.05062	+	0.577278i	−0.0887390	+	0.0249813i
$535$	−35.2443	−	7.49141i	−1.52374	−	0.323882i
$536$	−16.5554	−	18.3867i	−0.715086	−	0.794183i
$537$	12.1832	−	0.792694i	0.525745	−	0.0342073i
$538$	−0.141268	−	0.244683i	−0.00609050	−	0.0105491i
$539$	18.0112	−	5.10310i	0.775799	−	0.219806i
$540$	−13.3311	+	22.3348i	−0.573680	+	0.961136i
$541$	−9.57164	−	6.95421i	−0.411517	−	0.298985i	0.362699	−	0.931906i	$-0.381855\pi$
$541$	−9.57164	−	6.95421i	−0.411517	−	0.298985i	−0.774216	+	0.632922i	$0.781855\pi$
$542$	−12.3996	+	2.63561i	−0.532607	+	0.113209i
$543$	−3.65763	−	2.31024i	−0.156964	−	0.0991417i
$544$	0.179148	+	1.70447i	0.00768089	+	0.0730788i
$545$	−1.63309	−	15.5378i	−0.0699539	−	0.665567i
$546$	−0.182720	+	4.59465i	−0.00781969	+	0.196633i
$547$	−2.49018	+	0.529304i	−0.106472	+	0.0226314i	−0.260840	−	0.965382i	$-0.583999\pi$
$547$	−2.49018	+	0.529304i	−0.106472	+	0.0226314i	0.154367	+	0.988014i	$0.450666\pi$
$548$	−22.1084	−	16.0627i	−0.944424	−	0.686164i
$549$	38.7194	−	13.6697i	1.65251	−	0.583409i
$550$	−7.42425	+	2.10350i	−0.316571	+	0.0896937i
$551$	24.5177	+	42.4659i	1.04449	+	1.80911i
$552$	−0.138883	+	0.281288i	−0.00591124	+	0.0119724i
$553$	6.92386	+	7.68972i	0.294432	+	0.327000i
$554$	−1.62181	−	0.344727i	−0.0689043	−	0.0146461i
$555$	−23.2603	−	22.6809i	−0.987346	−	0.962749i
$556$	18.1153	+	8.06545i	0.768260	+	0.342051i
$557$	2.98987	+	9.20189i	0.126685	+	0.389896i	0.994204	−	0.107507i	$-0.0342868\pi$
$557$	2.98987	+	9.20189i	0.126685	+	0.389896i	−0.867519	+	0.497404i	$0.834287\pi$
$558$	−9.94070	−	5.40965i	−0.420823	−	0.229009i
$559$	−21.6599	−	15.7368i	−0.916117	−	0.665598i
$560$	3.68748	+	6.38690i	0.155824	+	0.269896i
$561$	0.689489	−	1.66800i	0.0291103	−	0.0704230i
$562$	−5.25175	+	9.09630i	−0.221532	+	0.383704i
$563$	−21.9134	+	9.75648i	−0.923540	+	0.411187i	−0.812720	−	0.582654i	$-0.802014\pi$
$563$	−21.9134	+	9.75648i	−0.923540	+	0.411187i	−0.110820	+	0.993840i	$0.535348\pi$
$564$	0.350050	+	0.878625i	0.0147398	+	0.0369968i
$565$	38.6542	−	42.9298i	1.62619	−	1.80607i
$566$	9.60027	−	6.97501i	0.403530	−	0.293181i
$567$	7.39553	+	7.42382i	0.310583	+	0.311771i
$568$	−5.70659	−	17.5631i	−0.239443	−	0.736930i
$569$	36.7971	−	7.82146i	1.54261	−	0.327893i	0.643444	−	0.765493i	$-0.277505\pi$
$569$	36.7971	−	7.82146i	1.54261	−	0.327893i	0.899169	+	0.437601i	$0.144172\pi$
$570$	19.1083	−	1.24327i	0.800357	−	0.0520747i
$571$	7.37740	−	12.7780i	0.308735	−	0.534744i	−0.669351	−	0.742946i	$-0.733428\pi$
$571$	7.37740	−	12.7780i	0.308735	−	0.534744i	0.978086	+	0.208202i	$0.0667612\pi$
$572$	8.10485	+	20.2442i	0.338881	+	0.846451i
$573$	−19.2089	−	7.09695i	−0.802463	−	0.296479i
$574$	0.408508	−	3.88669i	0.0170508	−	0.162227i
$575$	−0.106386	+	0.327424i	−0.00443662	+	0.0136545i
$576$	−3.16703	+	0.413873i	−0.131959	+	0.0172447i
$577$	18.0466	−	13.1116i	0.751289	−	0.545843i	−0.144937	−	0.989441i	$-0.546298\pi$
$577$	18.0466	−	13.1116i	0.751289	−	0.545843i	0.896226	+	0.443598i	$0.146298\pi$
$578$	−8.92147	−	3.97210i	−0.371084	−	0.165217i
$579$	10.3442	−	5.43603i	0.429889	−	0.225914i
$580$	25.7907	+	28.6435i	1.07090	+	1.18935i
$581$	−5.27339	+	2.34787i	−0.218777	+	0.0974059i
$582$	0.0150151	+	0.0876332i	0.000622396	+	0.00363251i
$583$	3.54519	−	7.21079i	0.146827	−	0.298640i
$584$	−6.24181			−0.258288
$585$	−34.0936	−	10.1344i	−1.40960	−	0.419005i
$586$	0.153568	−	0.472634i	0.00634384	−	0.0195243i
$587$	−1.67294	+	1.85799i	−0.0690496	+	0.0766873i	−0.776680	−	0.629896i	$-0.783098\pi$
$587$	−1.67294	+	1.85799i	−0.0690496	+	0.0766873i	0.707630	+	0.706583i	$0.249764\pi$
$588$	−15.6792	+	4.41392i	−0.646599	+	0.182027i
$589$	−4.34610	−	41.3504i	−0.179078	−	1.70381i
$590$	3.89880	+	0.828715i	0.160511	+	0.0341177i
$591$	−13.2362	−	33.2228i	−0.544463	−	1.36660i
$592$	1.37581	−	13.0900i	0.0565456	−	0.537995i
$593$	−10.8953			−0.447417			−0.223708	−	0.974656i	$-0.571816\pi$
$593$	−10.8953			−0.447417			−0.223708	+	0.974656i	$0.571816\pi$
$594$	−9.29562	−	3.57069i	−0.381404	−	0.146507i
$595$	1.09907			0.0450577
$596$	−0.789236	+	7.50908i	−0.0323284	+	0.307584i
$597$	−8.51719	−	21.3781i	−0.348585	−	0.874949i
$598$	−0.190693	−	0.0405330i	−0.00779800	−	0.00165752i
$599$	3.85063	+	36.6363i	0.157332	+	1.49692i	0.733558	+	0.679627i	$0.237858\pi$
$599$	3.85063	+	36.6363i	0.157332	+	1.49692i	−0.576225	+	0.817291i	$0.695475\pi$
$600$	14.2210	−	4.00343i	0.580572	−	0.163439i
$601$	−10.3409	+	11.4848i	−0.421815	+	0.468474i	−0.916172	−	0.400786i	$-0.868737\pi$
$601$	−10.3409	+	11.4848i	−0.421815	+	0.468474i	0.494356	+	0.869259i	$0.335404\pi$
$602$	1.41047	−	4.34099i	0.0574866	−	0.176925i
$603$	−8.14726	−	34.0790i	−0.331782	−	1.38780i
$604$	4.88321			0.198695
$605$	14.2996	+	29.7949i	0.581361	+	1.21134i
$606$	0.347575	+	2.02857i	0.0141193	+	0.0824049i
$607$	−23.2743	+	10.3624i	−0.944675	+	0.420596i	−0.820489	−	0.571663i	$-0.806299\pi$
$607$	−23.2743	+	10.3624i	−0.944675	+	0.420596i	−0.124186	+	0.992259i	$0.539632\pi$
$608$	23.2447	+	25.8158i	0.942696	+	1.04697i
$609$	13.7455	−	7.22347i	0.556995	−	0.292710i
$610$	−21.7067	−	9.66443i	−0.878877	−	0.391301i
$611$	−1.04630	+	0.760183i	−0.0423289	+	0.0307537i
$612$	−0.602369	+	1.45033i	−0.0243493	+	0.0586262i
$613$	−11.6728	+	35.9252i	−0.471461	+	1.45101i	0.379211	+	0.925310i	$0.376195\pi$
$613$	−11.6728	+	35.9252i	−0.471461	+	1.45101i	−0.850672	+	0.525697i	$0.823805\pi$
$614$	−0.210740	+	2.00506i	−0.00850478	+	0.0809175i
$615$	28.3559	+	10.4764i	1.14342	+	0.422450i
$616$	−6.28298	+	5.23830i	−0.253148	+	0.211057i
$617$	−20.9464	+	36.2802i	−0.843271	+	1.46059i	0.0438437	+	0.999038i	$0.486040\pi$
$617$	−20.9464	+	36.2802i	−0.843271	+	1.46059i	−0.887115	+	0.461549i	$0.847294\pi$
$618$	−3.01276	+	0.196023i	−0.121191	+	0.00788520i
$619$	5.85872	−	1.24531i	0.235482	−	0.0500532i	−0.0886590	−	0.996062i	$-0.528258\pi$
$619$	5.85872	−	1.24531i	0.235482	−	0.0500532i	0.324141	+	0.946009i	$0.394925\pi$
$620$	−10.0993	−	31.0823i	−0.405596	−	1.24830i
$621$	−0.363178	+	0.255890i	−0.0145738	+	0.0102685i
$622$	−5.06974	+	3.68338i	−0.203278	+	0.147690i
$623$	−1.65837	+	1.84181i	−0.0664413	+	0.0737905i
$624$	−5.33332	−	13.3866i	−0.213504	−	0.535894i
$625$	−26.4193	+	11.7626i	−1.05677	+	0.470505i
$626$	8.17057	−	14.1518i	0.326562	−	0.565621i
$627$	−8.56611	−	35.5666i	−0.342097	−	1.42039i
$628$	−15.0399	−	26.0498i	−0.600157	−	1.03950i
$629$	−1.58690	−	1.15295i	−0.0632739	−	0.0459712i
$630$	−0.152946	−	6.06183i	−0.00609353	−	0.241509i
$631$	−6.64368	−	20.4471i	−0.264481	−	0.813988i	−0.991813	−	0.127702i	$-0.959240\pi$
$631$	−6.64368	−	20.4471i	−0.264481	−	0.813988i	0.727332	−	0.686286i	$-0.240760\pi$
$632$	17.1985	+	7.65725i	0.684118	+	0.304589i
$633$	−10.3486	−	10.0908i	−0.411320	−	0.401073i
$634$	0.628784	+	0.133652i	0.0249722	+	0.00530801i
$635$	−26.5024	−	29.4338i	−1.05171	−	1.16805i
$636$	−3.09524	+	6.26899i	−0.122734	+	0.248581i
$637$	−11.1368	−	19.2895i	−0.441256	−	0.764278i
$638$	−9.12129	+	11.5990i	−0.361115	+	0.459208i
$639$	4.79053	−	25.7104i	0.189510	−	1.01709i
$640$	28.0127	+	20.3525i	1.10730	+	0.804501i
$641$	−12.5565	+	2.66896i	−0.495951	+	0.105418i	−0.449095	−	0.893484i	$-0.648254\pi$
$641$	−12.5565	+	2.66896i	−0.495951	+	0.105418i	−0.0468561	+	0.998902i	$0.514920\pi$
$642$	−0.476936	+	11.9930i	−0.0188232	+	0.473325i
$643$	−2.96396	−	28.2002i	−0.116887	−	1.11211i	−0.882990	−	0.469391i	$-0.844473\pi$
$643$	−2.96396	−	28.2002i	−0.116887	−	1.11211i	0.766103	−	0.642718i	$-0.222193\pi$
$644$	0.0173374	+	0.164954i	0.000683189	+	0.00650011i
$645$	29.8501	+	18.8539i	1.17535	+	0.742372i
$646$	1.13087	−	0.240374i	0.0444936	−	0.00945741i
$647$	14.1536	+	10.2832i	0.556436	+	0.404274i	0.830153	−	0.557536i	$-0.188253\pi$
$647$	14.1536	+	10.2832i	0.556436	+	0.404274i	−0.273717	+	0.961810i	$0.588253\pi$
$648$	17.7857	+	6.86625i	0.698687	+	0.269732i
$649$	0.289810	−	7.60956i	0.0113760	−	0.298701i
$650$	4.59060	+	7.95116i	0.180058	+	0.311870i
$651$	−13.1387	+	0.854859i	−0.514945	+	0.0335046i
$652$	6.49236	+	7.21050i	0.254261	+	0.282385i
$653$	28.6619	+	6.09227i	1.12163	+	0.238409i	0.731159	−	0.682207i	$-0.238980\pi$
$653$	28.6619	+	6.09227i	1.12163	+	0.238409i	0.390468	+	0.920617i	$0.372313\pi$
$654$	−5.00957	+	1.41026i	−0.195890	+	0.0551457i
$655$	−49.3268	−	21.9617i	−1.92736	−	0.858114i
$656$	3.78455	+	11.6477i	0.147762	+	0.454764i
$657$	−7.76444	−	4.22534i	−0.302920	−	0.164846i
$658$	−0.178378	−	0.129599i	−0.00695388	−	0.00505229i
$659$	−13.7935	−	23.8911i	−0.537319	−	0.930664i	−0.999047	−	0.0436422i	$-0.986104\pi$
$659$	−13.7935	−	23.8911i	−0.537319	−	0.930664i	0.461728	−	0.887021i	$-0.347229\pi$
$660$	−12.3986	−	25.9457i	−0.482616	−	1.00994i
$661$	−14.8776	+	25.7688i	−0.578672	+	1.00229i	0.416960	+	0.908925i	$0.363096\pi$
$661$	−14.8776	+	25.7688i	−0.578672	+	1.00229i	−0.995632	+	0.0933649i	$0.970238\pi$
$662$	−6.53398	+	2.90912i	−0.253950	+	0.113066i
$663$	−2.12511	−	0.309162i	−0.0825325	−	0.0120069i
$664$	−7.02738	+	7.80469i	−0.272715	+	0.302881i
$665$	18.0228	−	13.0943i	0.698893	−	0.507775i
$666$	−6.13815	+	8.91284i	−0.237849	+	0.345365i
$667$	0.203437	+	0.626115i	0.00787711	+	0.0242433i
$668$	−8.18403	+	1.73957i	−0.316650	+	0.0673060i
$669$	0.368919	+	0.552697i	0.0142632	+	0.0213685i
$670$	−10.1380	+	17.5596i	−0.391666	+	0.678385i
$671$	−11.1213	+	44.0120i	−0.429331	+	1.69906i
$672$	8.46107	−	7.03017i	0.326393	−	0.271195i
$673$	−1.00908	+	9.60079i	−0.0388973	+	0.370083i	0.957707	+	0.287745i	$0.0929055\pi$
$673$	−1.00908	+	9.60079i	−0.0388973	+	0.370083i	−0.996604	+	0.0823384i	$0.973761\pi$
$674$	2.40577	−	7.40418i	0.0926666	−	0.285198i
$675$	20.4002	+	4.64680i	0.785205	+	0.178856i
$676$	3.46724	−	2.51910i	0.133355	−	0.0968883i
$677$	−0.0896326	−	0.0399070i	−0.00344486	−	0.00153375i	0.405013	−	0.914311i	$-0.367267\pi$
$677$	−0.0896326	−	0.0399070i	−0.00344486	−	0.00153375i	−0.408458	+	0.912777i	$0.633933\pi$
$678$	−16.2694	−	10.2761i	−0.624822	−	0.394650i
$679$	0.0692131	+	0.0768689i	0.00265615	+	0.00294996i
$680$	1.82675	−	0.813323i	0.0700528	−	0.0311895i
$681$	29.2676	+	10.8132i	1.12153	+	0.414364i
$682$	11.0657	−	5.83898i	0.423729	−	0.223586i
$683$	30.5246			1.16799			0.583996	−	0.811756i	$-0.301488\pi$
$683$	30.5246			1.16799			0.583996	+	0.811756i	$0.301488\pi$
$684$	7.40144	+	30.9593i	0.283001	+	1.18376i
$685$	−15.2277	+	46.8660i	−0.581820	+	1.79066i
$686$	5.69202	−	6.32163i	0.217323	−	0.241361i
$687$	16.6518	+	16.2370i	0.635307	+	0.619480i
$688$	1.49514	+	14.2253i	0.0570018	+	0.542336i
$689$	−9.35145	−	1.98771i	−0.356262	−	0.0757258i
$690$	0.254406	+	0.0370111i	0.00968509	+	0.00140899i
$691$	−3.42871	+	32.6220i	−0.130434	+	1.24100i	0.711992	+	0.702188i	$0.247793\pi$
$691$	−3.42871	+	32.6220i	−0.130434	+	1.24100i	−0.842426	+	0.538812i	$0.818873\pi$
$692$	25.9748			0.987413
$693$	−11.3617	+	2.26292i	−0.431594	+	0.0859612i
$694$	5.62741			0.213614
$695$	3.73768	−	35.5616i	0.141778	−	1.34893i
$696$	17.5007	−	22.1778i	0.663362	−	0.840646i
$697$	1.78527	+	0.379471i	0.0676220	+	0.0143735i
$698$	0.268178	+	2.55154i	0.0101507	+	0.0965773i
$699$	−1.43935	+	5.65614i	−0.0544412	+	0.213935i
$700$	5.22673	−	5.80487i	0.197552	−	0.219404i
$701$	−2.70365	+	8.32098i	−0.102115	+	0.314279i	−0.989043	−	0.147630i	$-0.952835\pi$
$701$	−2.70365	+	8.32098i	−0.102115	+	0.314279i	0.886927	+	0.461909i	$0.152835\pi$
$702$	−1.40942	+	11.7639i	−0.0531952	+	0.443998i
$703$	−39.7584			−1.49952
$704$	1.55793	−	3.16878i	0.0587168	−	0.119428i
$705$	1.31176	−	1.08992i	0.0494039	−	0.0410489i
$706$	17.1678	−	7.64360i	0.646119	−	0.287671i
$707$	1.60217	+	1.77939i	0.0602558	+	0.0669208i
$708$	−0.263292	+	6.62072i	−0.00989514	+	0.248822i
$709$	24.4610	+	10.8907i	0.918651	+	0.409010i	0.810911	−	0.585169i	$-0.198972\pi$
$709$	24.4610	+	10.8907i	0.918651	+	0.409010i	0.107740	+	0.994179i	$0.465639\pi$
$710$	−12.2435	+	8.89542i	−0.459490	+	0.333839i
$711$	16.2104	+	21.1675i	0.607936	+	0.793844i
$712$	−1.39340	+	4.28845i	−0.0522199	+	0.160716i
$713$	0.0583495	−	0.555159i	0.00218521	−	0.0207909i
$714$	−0.0618286	−	0.360852i	−0.00231388	−	0.0135046i
$715$	30.2020	−	25.1803i	1.12949	−	0.941690i
$716$	5.87217	−	10.1709i	0.219453	−	0.380105i
$717$	17.7875	−	36.0261i	0.664286	−	1.34542i
$718$	15.6953	−	3.33613i	0.585742	−	0.124503i
$719$	−4.63672	−	14.2703i	−0.172920	−	0.532194i	0.826612	−	0.562772i	$-0.190265\pi$
$719$	−4.63672	−	14.2703i	−0.172920	−	0.532194i	−0.999532	+	0.0305782i	$0.990265\pi$
$720$	8.16437	+	17.1591i	0.304268	+	0.639481i
$721$	−2.84161	+	2.06455i	−0.105827	+	0.0768879i
$722$	8.33438	−	9.25627i	0.310174	−	0.344483i
$723$	16.2704	−	20.6186i	0.605101	−	0.766815i
$724$	−3.80172	+	1.69263i	−0.141290	+	0.0629062i
$725$	15.5020	−	26.8502i	0.575730	−	0.997193i
$726$	8.97797	−	6.37101i	0.333204	−	0.236450i
$727$	−13.7663	−	23.8438i	−0.510562	−	0.884319i	−0.999925	−	0.0122391i	$-0.996104\pi$
$727$	−13.7663	−	23.8438i	−0.510562	−	0.884319i	0.489363	−	0.872080i	$-0.337229\pi$
$728$	7.87410	+	5.72087i	0.291834	+	0.212029i
$729$	17.4763	+	20.5811i	0.647269	+	0.762262i
$730$	1.58069	+	4.86486i	0.0585039	+	0.180057i
$731$	1.94736	+	0.867021i	0.0720257	+	0.0320679i
$732$	9.74105	−	38.2789i	0.360040	−	1.41483i
$733$	−46.6964	−	9.92564i	−1.72477	−	0.366612i	−0.764273	−	0.644893i	$-0.776902\pi$
$733$	−46.6964	−	9.92564i	−1.72477	−	0.366612i	−0.960500	+	0.278281i	$0.910235\pi$
$734$	0.453208	+	0.503339i	0.0167282	+	0.0185786i
$735$	16.3067	+	24.4299i	0.601481	+	0.901111i
$736$	0.233195	+	0.403906i	0.00859570	+	0.0148882i
$737$	36.3593	+	13.3640i	1.33931	+	0.492267i
$738$	1.84450	−	9.89928i	0.0678968	−	0.364398i
$739$	−1.20421	−	0.874910i	−0.0442976	−	0.0321841i	0.565416	−	0.824806i	$-0.308716\pi$
$739$	−1.20421	−	0.874910i	−0.0442976	−	0.0321841i	−0.609714	+	0.792622i	$0.708716\pi$
$740$	−30.5686	+	6.49755i	−1.12372	+	0.238855i
$741$	−38.5312	+	20.2488i	−1.41548	+	0.743857i
$742$	−0.170370	−	1.62096i	−0.00625446	−	0.0595072i
$743$	1.89825	+	18.0607i	0.0696402	+	0.662582i	0.972541	+	0.232733i	$0.0747667\pi$
$743$	1.89825	+	18.0607i	0.0696402	+	0.662582i	−0.902901	+	0.429850i	$0.858567\pi$
$744$	−21.2050	+	11.1436i	−0.777411	+	0.408542i
$745$	13.3177	−	2.83076i	0.487922	−	0.103711i
$746$	−10.1751	−	7.39264i	−0.372537	−	0.270664i
$747$	−14.0250	+	4.95145i	−0.513147	+	0.181164i
$748$	−0.966316	−	1.44243i	−0.0353320	−	0.0527406i
$749$	6.98177	+	12.0928i	0.255108	+	0.441860i
$750$	1.62493	+	2.43440i	0.0593341	+	0.0888916i
$751$	−2.94060	−	3.26586i	−0.107304	−	0.119173i	0.687100	−	0.726563i	$-0.258883\pi$
$751$	−2.94060	−	3.26586i	−0.107304	−	0.119173i	−0.794404	+	0.607390i	$0.792217\pi$
$752$	0.675855	+	0.143657i	0.0246459	+	0.00523865i
$753$	−0.248732	+	0.977431i	−0.00906431	+	0.0356196i
$754$	16.0389	+	7.14096i	0.584101	+	0.260058i
$755$	−2.72107	−	8.37459i	−0.0990299	−	0.304783i
$756$	9.88920	−	1.95237i	0.359667	−	0.0710071i
$757$	11.1369	+	8.09140i	0.404776	+	0.294087i	0.771483	−	0.636249i	$-0.219515\pi$
$757$	11.1369	+	8.09140i	0.404776	+	0.294087i	−0.366708	+	0.930336i	$0.619515\pi$
$758$	4.69382	+	8.12993i	0.170487	+	0.295292i
$759$	−0.0132137	−	0.490983i	−0.000479625	−	0.0178216i
$760$	20.2655	−	35.1008i	0.735105	−	1.27324i
$761$	−28.4168	+	12.6520i	−1.03011	+	0.458634i	−0.850984	−	0.525192i	$-0.823994\pi$
$761$	−28.4168	+	12.6520i	−1.03011	+	0.458634i	−0.179126	+	0.983826i	$0.557327\pi$
$762$	−8.17294	+	10.3572i	−0.296074	+	0.375200i
$763$	−4.05133	+	4.49945i	−0.146668	+	0.162891i
$764$	−15.9365	+	11.5786i	−0.576564	+	0.418898i
$765$	2.82295	+	0.224881i	0.102064	+	0.00813060i
$766$	1.10585	+	3.40344i	0.0399558	+	0.122971i
$767$	−8.86254	+	1.88379i	−0.320008	+	0.0680197i
$768$	3.47357	−	7.03524i	0.125342	−	0.253862i
$769$	−10.9677	+	18.9966i	−0.395504	+	0.685034i	−0.993165	−	0.116715i	$-0.962764\pi$
$769$	−10.9677	+	18.9966i	−0.395504	+	0.685034i	0.597661	+	0.801749i	$0.296097\pi$
$770$	5.67384	+	3.57039i	0.204471	+	0.128668i
$771$	3.20922	+	18.7301i	0.115577	+	0.674549i
$772$	1.17499	−	11.1793i	0.0422887	−	0.402350i
$773$	−3.92965	+	12.0942i	−0.141340	+	0.434999i	−0.996522	−	0.0833281i	$-0.973445\pi$
$773$	−3.92965	+	12.0942i	−0.141340	+	0.434999i	0.855182	+	0.518327i	$0.173445\pi$
$774$	4.51097	−	10.8611i	0.162143	−	0.390395i
$775$	−21.2682	+	15.4522i	−0.763976	+	0.555061i
$776$	0.171921	+	0.0765443i	0.00617162	+	0.00274778i
$777$	−0.500291	+	12.5803i	−0.0179478	+	0.451314i
$778$	−0.279617	−	0.310546i	−0.0100248	−	0.0111336i
$779$	33.7961	−	15.0470i	1.21087	−	0.539114i
$780$	−26.3158	+	21.8654i	−0.942258	+	0.782908i
$781$	20.7348	+	20.1504i	0.741950	+	0.721038i
$782$	0.0155220			0.000555064
$783$	36.7829	−	15.7408i	1.31451	−	0.562532i
$784$	−3.67724	+	11.3174i	−0.131330	+	0.404193i
$785$	−36.2942	+	40.3088i	−1.29540	+	1.43868i
$786$	−4.43567	+	17.4306i	−0.158215	+	0.621729i
$787$	1.80433	+	17.1671i	0.0643176	+	0.611941i	0.978444	+	0.206512i	$0.0662112\pi$
$787$	1.80433	+	17.1671i	0.0643176	+	0.611941i	−0.914127	+	0.405429i	$0.867122\pi$
$788$	−33.6496	−	7.15244i	−1.19872	−	0.254795i
$789$	−15.4455	+	19.5733i	−0.549875	+	0.696829i
$790$	1.61268	−	15.3436i	0.0573765	−	0.545901i
$791$	−22.3870			−0.795991
$792$	−17.2095	+	12.1689i	−0.611512	+	0.432402i
$793$	54.0120			1.91802
$794$	−0.247023	+	2.35027i	−0.00876652	+	0.0834079i
$795$	12.4759	+	1.81500i	0.442476	+	0.0643715i
$796$	−21.6528	−	4.60245i	−0.767463	−	0.163129i
$797$	−3.67956	−	35.0087i	−0.130337	−	1.24007i	−0.842748	−	0.538309i	$-0.819064\pi$
$797$	−3.67956	−	35.0087i	−0.130337	−	1.24007i	0.712411	−	0.701762i	$-0.247603\pi$
$798$	−5.31305	−	5.18068i	−0.188080	−	0.183394i
$799$	0.0689013	−	0.0765227i	0.00243755	−	0.00270718i
$800$	6.78739	−	20.8894i	0.239970	−	0.738553i
$801$	−4.63634	+	4.39132i	−0.163817	+	0.155160i
$802$	−3.26248			−0.115202
$803$	8.64318	−	4.56069i	0.305011	−	0.160943i
$804$	−31.6170	−	11.6812i	−1.11504	−	0.411966i
$805$	0.273232	−	0.121651i	0.00963016	−	0.00428762i
$806$	−9.96114	−	11.0630i	−0.350866	−	0.389677i
$807$	−0.716057	−	0.452276i	−0.0252064	−	0.0159209i
$808$	3.97970	+	1.77188i	0.140005	+	0.0623344i
$809$	15.4367	−	11.2154i	0.542725	−	0.394313i	−0.282371	−	0.959305i	$-0.591121\pi$
$809$	15.4367	−	11.2154i	0.542725	−	0.394313i	0.825096	+	0.564992i	$0.191121\pi$
$810$	0.847470	−	15.6010i	0.0297771	−	0.548162i
$811$	−9.59769	+	29.5387i	−0.337020	+	1.03724i	0.628698	+	0.777650i	$0.283588\pi$
$811$	−9.59769	+	29.5387i	−0.337020	+	1.03724i	−0.965718	+	0.259593i	$0.916412\pi$
$812$	1.56134	−	14.8551i	0.0547923	−	0.521314i
$813$	−29.2271	+	24.2843i	−1.02504	+	0.851688i
$814$	−4.44678	−	11.1071i	−0.155860	−	0.389303i
$815$	8.74810	−	15.1522i	0.306433	−	0.530757i
$816$	0.636954	+	0.954254i	0.0222978	+	0.0334056i
$817$	42.2627	−	8.98321i	1.47858	−	0.314283i
$818$	1.68711	+	5.19240i	0.0589885	+	0.181548i
$819$	5.92221	+	12.4467i	0.206939	+	0.434924i
$820$	23.5253	−	17.0922i	0.821540	−	0.596884i
$821$	22.7561	−	25.2732i	0.794195	−	0.882042i	−0.201037	−	0.979584i	$-0.564431\pi$
$821$	22.7561	−	25.2732i	0.794195	−	0.882042i	0.995231	+	0.0975412i	$0.0310978\pi$
$822$	16.2439	+	2.36316i	0.566570	+	0.0824247i
$823$	14.2111	−	6.32720i	0.495368	−	0.220552i	−0.143818	−	0.989604i	$-0.545938\pi$
$823$	14.2111	−	6.32720i	0.495368	−	0.220552i	0.639186	+	0.769052i	$0.279271\pi$
$824$	−3.19521	+	5.53426i	−0.111310	+	0.192795i
$825$	−16.7671	+	15.9345i	−0.583754	+	0.554768i
$826$	−0.772337	−	1.33773i	−0.0268730	−	0.0465455i
$827$	−12.9667	−	9.42084i	−0.450895	−	0.327595i	0.339054	−	0.940767i	$-0.389893\pi$
$827$	−12.9667	−	9.42084i	−0.450895	−	0.327595i	−0.789949	+	0.613172i	$0.789893\pi$
$828$	0.0107794	+	0.427228i	0.000374611	+	0.0148472i
$829$	5.90205	+	18.1646i	0.204987	+	0.630884i	0.999714	+	0.0239173i	$0.00761382\pi$
$829$	5.90205	+	18.1646i	0.204987	+	0.630884i	−0.794727	+	0.606967i	$0.792386\pi$
$830$	7.86260	+	3.50065i	0.272915	+	0.121509i
$831$	−4.78420	+	1.34682i	−0.165962	+	0.0467207i
$832$	−4.10949	−	0.873499i	−0.142471	−	0.0302831i
$833$	1.18664	+	1.31790i	0.0411146	+	0.0456624i
$834$	−11.8860	+	0.773354i	−0.411578	+	0.0267791i
$835$	7.54371	+	13.0661i	0.261061	+	0.452171i
$836$	−33.0308	−	12.1406i	−1.14240	−	0.419891i
$837$	−33.9213	−	0.492616i	−1.17249	−	0.0170273i
$838$	−0.0708501	−	0.0514756i	−0.00244747	−	0.00177819i
$839$	−1.45541	+	0.309356i	−0.0502462	+	0.0106802i	−0.232966	−	0.972485i	$-0.574843\pi$
$839$	−1.45541	+	0.309356i	−0.0502462	+	0.0106802i	0.182720	+	0.983165i	$0.441510\pi$
$840$	−10.8515	−	6.85402i	−0.374412	−	0.236486i
$841$	−3.16588	−	30.1213i	−0.109168	−	1.03867i
$842$	−1.02535	−	9.75552i	−0.0353358	−	0.336198i
$843$	−1.25112	+	31.4605i	−0.0430908	+	1.08356i
$844$	−13.6001	+	2.89079i	−0.468134	+	0.0995049i
$845$	−6.25224	−	4.54252i	−0.215084	−	0.156267i
$846$	−0.431641	−	0.369369i	−0.0148401	−	0.0126992i
$847$	4.87274	−	11.8444i	0.167429	−	0.406977i
$848$	2.55384	+	4.42338i	0.0876993	+	0.151900i
$849$	15.7480	−	31.8954i	0.540470	−	1.09465i
$850$	−0.489134	−	0.543238i	−0.0167772	−	0.0186329i
$851$	−0.522121	−	0.110980i	−0.0178981	−	0.00380435i
$852$	−18.0121	−	17.5633i	−0.617084	−	0.601710i
$853$	34.5339	+	15.3755i	1.18242	+	0.526447i	0.901287	−	0.433222i	$-0.142624\pi$
$853$	34.5339	+	15.3755i	1.18242	+	0.526447i	0.281132	+	0.959669i	$0.409290\pi$
$854$	2.84548	+	8.75750i	0.0973704	+	0.299675i
$855$	48.9702	−	29.9448i	1.67475	−	1.02409i
$856$	20.5530	+	14.9326i	0.702487	+	0.510387i
$857$	−9.91348	−	17.1706i	−0.338638	−	0.586538i	0.645539	−	0.763727i	$-0.276633\pi$
$857$	−9.91348	−	17.1706i	−0.338638	−	0.586538i	−0.984177	+	0.177189i	$0.943300\pi$
$858$	−9.96631	−	8.49952i	−0.340244	−	0.290169i
$859$	7.85764	−	13.6098i	0.268099	−	0.464362i	−0.700272	−	0.713876i	$-0.746938\pi$
$859$	7.85764	−	13.6098i	0.268099	−	0.464362i	0.968371	+	0.249515i	$0.0802711\pi$
$860$	31.0259	−	13.8136i	1.05798	−	0.471041i
$861$	−4.33586	−	10.8830i	−0.147766	−	0.370892i
$862$	−9.80860	+	10.8936i	−0.334082	+	0.371036i
$863$	−6.57548	+	4.77736i	−0.223832	+	0.162623i	−0.694050	−	0.719927i	$-0.744175\pi$
$863$	−6.57548	+	4.77736i	−0.223832	+	0.162623i	0.470218	+	0.882550i	$0.344175\pi$
$864$	23.1705	−	16.3256i	0.788276	−	0.555408i
$865$	−14.4739	−	44.5462i	−0.492128	−	1.51462i
$866$	−9.34517	+	1.98638i	−0.317562	+	0.0674998i
$867$	−29.2121	+	1.90067i	−0.992095	+	0.0645500i
$868$	−6.33269	+	10.9685i	−0.214945	+	0.372296i
$869$	−29.4100	+	1.96318i	−0.997667	+	0.0665963i
$870$	−21.7172	−	8.02368i	−0.736283	−	0.272028i
$871$	4.81776	−	45.8379i	0.163244	−	1.55316i
$872$	−3.40401	+	10.4765i	−0.115274	+	0.354778i
$873$	0.162044	+	0.211597i	0.00548435	+	0.00716149i
$874$	0.254531	−	0.184928i	0.00860964	−	0.00625527i
$875$	3.11073	+	1.38498i	0.105162	+	0.0468210i
$876$	−7.52718	+	3.95565i	−0.254320	+	0.133649i
$877$	−1.69526	−	1.88278i	−0.0572449	−	0.0635769i	0.713842	−	0.700307i	$-0.246953\pi$
$877$	−1.69526	−	1.88278i	−0.0572449	−	0.0635769i	−0.771087	+	0.636730i	$0.780287\pi$
$878$	−20.7138	+	9.22239i	−0.699058	+	0.311241i
$879$	−0.251576	−	1.46828i	−0.00848544	−	0.0495239i
$880$	−20.7942	−	2.98947i	−0.700971	−	0.100775i
$881$	−47.4109			−1.59731			−0.798657	−	0.601786i	$-0.794456\pi$
$881$	−47.4109			−1.59731			−0.798657	+	0.601786i	$0.794456\pi$
$882$	7.10358	−	6.72818i	0.239190	−	0.226550i
$883$	8.19295	−	25.2153i	0.275715	−	0.848563i	−0.713315	−	0.700844i	$-0.752807\pi$
$883$	8.19295	−	25.2153i	0.275715	−	0.848563i	0.989029	−	0.147719i	$-0.0471930\pi$
$884$	−1.38226	+	1.53515i	−0.0464904	+	0.0516328i
$885$	11.5011	−	3.23772i	0.386605	−	0.108835i
$886$	−1.94417	−	18.4975i	−0.0653156	−	0.621436i
$887$	46.7841	+	9.94428i	1.57086	+	0.333896i	0.909347	−	0.416039i	$-0.136582\pi$
$887$	46.7841	+	9.94428i	1.57086	+	0.333896i	0.661511	+	0.749935i	$0.269915\pi$
$888$	8.47795	+	21.2796i	0.284501	+	0.714098i
$889$	−1.60442	+	15.2651i	−0.0538106	+	0.511974i
$890$	3.69528			0.123866
$891$	−29.6452	+	3.48754i	−0.993151	+	0.116837i
$892$	0.639221			0.0214027
$893$	0.218166	−	2.07571i	0.00730066	−	0.0694612i
$894$	−1.67859	−	4.21327i	−0.0561406	−	0.140913i
$895$	−20.7150	−	4.40311i	−0.692427	−	0.147180i
$896$	−1.40263	−	13.3451i	−0.0468586	−	0.445830i
$897$	−0.562526	+	0.158359i	−0.0187822	+	0.00528745i
$898$	−9.99221	+	11.0975i	−0.333445	+	0.370328i
$899$	−15.5345	+	47.8104i	−0.518106	+	1.59457i
$900$	14.6125	−	13.8402i	0.487082	−	0.461341i
$901$	0.761187			0.0253588
$902$	7.98352	+	7.75850i	0.265822	+	0.258330i
$903$	−2.31064	−	13.4857i	−0.0768933	−	0.448776i
$904$	−37.2091	+	16.5666i	−1.23756	+	0.550995i
$905$	5.02126	+	5.57667i	0.166912	+	0.185375i
$906$	−2.59650	+	1.36451i	−0.0862631	+	0.0453327i
$907$	43.3554	+	19.3030i	1.43959	+	0.640947i	0.970258	−	0.242074i	$-0.0778277\pi$
$907$	43.3554	+	19.3030i	1.43959	+	0.640947i	0.469333	+	0.883021i	$0.344494\pi$
$908$	24.2817	−	17.6417i	0.805815	−	0.585459i
$909$	3.75105	+	4.89814i	0.124415	+	0.162461i
$910$	2.46479	−	7.58583i	0.0817068	−	0.251468i
$911$	2.97198	−	28.2765i	0.0984660	−	0.936841i	−0.828067	−	0.560629i	$-0.810560\pi$
$911$	2.97198	−	28.2765i	0.0984660	−	0.936841i	0.926533	−	0.376213i	$-0.122774\pi$
$912$	21.8138	+	8.05935i	0.722326	+	0.266872i
$913$	4.02834	−	15.9420i	0.133319	−	0.527604i
$914$	3.67381	−	6.36322i	0.121519	−	0.210477i
$915$	−71.0755	+	4.62448i	−2.34968	+	0.152880i
$916$	21.8837	−	4.65153i	0.723059	−	0.153691i
$917$	6.46615	+	19.9008i	0.213531	+	0.657181i
$918$	−0.0849712	−	0.939491i	−0.00280447	−	0.0310078i
$919$	−31.0442	+	22.5550i	−1.02406	+	0.744020i	−0.967110	−	0.254358i	$-0.918136\pi$
$919$	−31.0442	+	22.5550i	−1.02406	+	0.744020i	−0.0569449	+	0.998377i	$0.518136\pi$
$920$	0.364112	−	0.404387i	0.0120044	−	0.0133322i
$921$	2.23677	+	5.61430i	0.0737042	+	0.184998i
$922$	−10.0408	+	4.47044i	−0.330675	+	0.147226i
$923$	17.2007	−	29.7924i	0.566167	−	0.980629i
$924$	−4.25713	+	10.2988i	−0.140049	+	0.338804i
$925$	12.5692	+	21.7704i	0.413272	+	0.715808i
$926$	10.6893	+	7.76621i	0.351271	+	0.255214i
$927$	−7.72103	+	4.72132i	−0.253592	+	0.155069i
$928$	−12.9791	−	39.9457i	−0.426061	−	1.31128i
$929$	12.2302	+	5.44526i	0.401261	+	0.178653i	0.597437	−	0.801916i	$-0.296186\pi$
$929$	12.2302	+	5.44526i	0.401261	+	0.178653i	−0.196176	+	0.980569i	$0.562852\pi$
$930$	14.0553	+	13.7051i	0.460890	+	0.449408i
$931$	35.1600	+	7.47348i	1.15232	+	0.244934i
$932$	3.75669	+	4.17223i	0.123055	+	0.136666i
$933$	−8.31626	+	16.8434i	−0.272262	+	0.551429i
$934$	−4.60021	−	7.96779i	−0.150523	−	0.260714i
$935$	−1.93528	+	2.46098i	−0.0632905	+	0.0804826i
$936$	19.0539	+	16.3050i	0.622795	+	0.532946i
$937$	19.9588	+	14.5010i	0.652027	+	0.473725i	0.863961	−	0.503559i	$-0.167976\pi$
$937$	19.9588	+	14.5010i	0.652027	+	0.473725i	−0.211934	+	0.977284i	$0.567976\pi$
$938$	7.68596	−	1.63370i	0.250956	−	0.0533422i
$939$	1.94647	−	48.9456i	0.0635205	−	1.59728i
$940$	−0.171486	−	1.63158i	−0.00559327	−	0.0532164i
$941$	−0.867827	−	8.25682i	−0.0282903	−	0.269165i	−0.999519	−	0.0310154i	$-0.990126\pi$
$941$	−0.867827	−	8.25682i	−0.0282903	−	0.269165i	0.971229	−	0.238149i	$-0.0765408\pi$
$942$	15.2761	+	9.64868i	0.497722	+	0.314371i
$943$	0.485823	−	0.103265i	0.0158206	−	0.00336277i
$944$	3.91616	+	2.84526i	0.127460	+	0.0926053i
$945$	−8.85883	−	15.8718i	−0.288178	−	0.516311i
$946$	7.23646	+	10.8020i	0.235278	+	0.351202i
$947$	−18.9748	−	32.8653i	−0.616598	−	1.06798i	−0.990102	−	0.140351i	$-0.955177\pi$
$947$	−18.9748	−	32.8653i	−0.616598	−	1.06798i	0.373503	−	0.927629i	$-0.378156\pi$
$948$	25.5928	−	1.66518i	0.831215	−	0.0540824i
$949$	−7.78041	−	8.64102i	−0.252563	−	0.280499i
$950$	−14.4930	−	3.08058i	−0.470214	−	0.0999472i
$951$	1.85486	−	0.522168i	0.0601478	−	0.0169325i
$952$	−0.707930	−	0.315191i	−0.0229442	−	0.0102154i
$953$	−15.0400	−	46.2884i	−0.487194	−	1.49943i	−0.828778	−	0.559578i	$-0.810963\pi$
$953$	−15.0400	−	46.2884i	−0.487194	−	1.49943i	0.341583	−	0.939852i	$-0.389037\pi$
$954$	−0.105926	−	4.19825i	−0.00342949	−	0.135923i
$955$	28.7373	+	20.8789i	0.929918	+	0.675625i
$956$	−19.3245	−	33.4710i	−0.624998	−	1.08253i
$957$	−8.02907	+	43.4973i	−0.259543	+	1.40607i
$958$	4.73516	−	8.20154i	0.152986	−	0.264980i
$959$	17.4459	−	7.76740i	0.563356	−	0.250822i
$960$	5.48254	+	0.797602i	0.176948	+	0.0257425i
$961$	7.77911	−	8.63958i	0.250939	−	0.278696i
$962$	−11.5165	+	8.36721i	−0.371306	+	0.269770i
$963$	15.4582	+	32.4885i	0.498133	+	1.04693i
$964$	−7.80746	−	24.0289i	−0.251461	−	0.773918i
$965$	−19.8269	+	4.21434i	−0.638250	+	0.135664i
$966$	−0.0553115	−	0.0828651i	−0.00177962	−	0.00266614i
$967$	−5.48901	+	9.50724i	−0.176515	+	0.305732i	−0.940684	−	0.339283i	$-0.889816\pi$
$967$	−5.48901	+	9.50724i	−0.176515	+	0.305732i	0.764170	+	0.645015i	$0.223149\pi$
$968$	−0.666025	−	23.2922i	−0.0214069	−	0.748639i
$969$	2.66559	−	2.21479i	0.0856309	−	0.0711494i
$970$	0.0161208	−	0.153380i	0.000517609	−	0.00492472i
$971$	4.03687	−	12.4242i	0.129549	−	0.398712i	−0.865153	−	0.501508i	$-0.832779\pi$
$971$	4.03687	−	12.4242i	0.129549	−	0.398712i	0.994702	+	0.102796i	$0.0327789\pi$
$972$	25.7996	−	2.99120i	0.827523	−	0.0959426i
$973$	−11.2108	+	8.14510i	−0.359401	+	0.261120i
$974$	12.0280	+	5.35523i	0.385403	+	0.171592i
$975$	23.2688	+	14.6970i	0.745197	+	0.470682i
$976$	−19.3086	−	21.4444i	−0.618053	−	0.686418i
$977$	−10.1187	+	4.50514i	−0.323726	+	0.144132i	−0.562164	−	0.827025i	$-0.690031\pi$
$977$	−10.1187	+	4.50514i	−0.323726	+	0.144132i	0.238438	+	0.971158i	$0.423365\pi$
$978$	−5.46694	−	2.01982i	−0.174813	−	0.0645869i
$979$	−1.20395	−	6.95643i	−0.0384785	−	0.222328i
$980$	28.2544			0.902554
$981$	−11.3264	+	10.7278i	−0.361623	+	0.342512i
$982$	−7.79262	+	23.9832i	−0.248673	+	0.765336i
$983$	−17.6861	+	19.6424i	−0.564100	+	0.626496i	−0.955949	−	0.293533i	$-0.905169\pi$
$983$	−17.6861	+	19.6424i	−0.564100	+	0.626496i	0.391849	+	0.920029i	$0.371835\pi$
$984$	−15.2601	−	14.8799i	−0.486473	−	0.474354i
$985$	6.48429	+	61.6939i	0.206607	+	1.96573i
$986$	−1.36730	−	0.290629i	−0.0435438	−	0.00925552i
$987$	−0.654047	−	0.0951509i	−0.0208185	−	0.00302869i
$988$	−4.37673	+	41.6418i	−0.139242	+	1.32480i
$989$	0.580083			0.0184456
$990$	13.8426	+	10.3314i	0.439946	+	0.328353i
$991$	−18.9911			−0.603272			−0.301636	−	0.953423i	$-0.597533\pi$
$991$	−18.9911			−0.603272			−0.301636	+	0.953423i	$0.597533\pi$
$992$	−3.72266	+	35.4188i	−0.118195	+	1.12455i
$993$	−13.2813	+	16.8307i	−0.421470	+	0.534108i
$994$	5.73671	+	1.21937i	0.181957	+	0.0386762i
$995$	4.17250	+	39.6987i	0.132277	+	1.25853i
$996$	−3.52841	+	13.8654i	−0.111802	+	0.439342i
$997$	14.7966	−	16.4333i	0.468613	−	0.520447i	−0.461788	−	0.886990i	$-0.652792\pi$
$997$	14.7966	−	16.4333i	0.468613	−	0.520447i	0.930401	+	0.366543i	$0.119459\pi$
$998$	−3.58956	+	11.0475i	−0.113625	+	0.349703i
$999$	−3.85903	+	32.2097i	−0.122094	+	1.01907i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.4.4	✓	72
3.2	odd	2		297.2.n.b.37.6		72
9.2	odd	6		297.2.n.b.235.4		72
9.4	even	3		891.2.f.f.730.4		36
9.5	odd	6		891.2.f.e.730.6		36
9.7	even	3	inner	99.2.m.b.70.6	yes	72
11.3	even	5	inner	99.2.m.b.58.6	yes	72
11.5	even	5		1089.2.e.p.364.8		36
11.6	odd	10		1089.2.e.o.364.11		36
33.14	odd	10		297.2.n.b.91.4		72
99.5	odd	30		9801.2.a.cp.1.8		18
99.14	odd	30		891.2.f.e.487.6		36
99.16	even	15		1089.2.e.p.727.8		36
99.25	even	15	inner	99.2.m.b.25.4	yes	72
99.47	odd	30		297.2.n.b.289.6		72
99.49	even	15		9801.2.a.cm.1.11		18
99.50	even	30		9801.2.a.cn.1.11		18
99.58	even	15		891.2.f.f.487.4		36
99.61	odd	30		1089.2.e.o.727.11		36
99.94	odd	30		9801.2.a.co.1.8		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.4.4	✓	72	1.1	even	1	trivial
99.2.m.b.25.4	yes	72	99.25	even	15	inner
99.2.m.b.58.6	yes	72	11.3	even	5	inner
99.2.m.b.70.6	yes	72	9.7	even	3	inner
297.2.n.b.37.6		72	3.2	odd	2
297.2.n.b.91.4		72	33.14	odd	10
297.2.n.b.235.4		72	9.2	odd	6
297.2.n.b.289.6		72	99.47	odd	30
891.2.f.e.487.6		36	99.14	odd	30
891.2.f.e.730.6		36	9.5	odd	6
891.2.f.f.487.4		36	99.58	even	15
891.2.f.f.730.4		36	9.4	even	3
1089.2.e.o.364.11		36	11.6	odd	10
1089.2.e.o.727.11		36	99.61	odd	30
1089.2.e.p.364.8		36	11.5	even	5
1089.2.e.p.727.8		36	99.16	even	15
9801.2.a.cm.1.11		18	99.49	even	15
9801.2.a.cn.1.11		18	99.50	even	30
9801.2.a.co.1.8		18	99.94	odd	30
9801.2.a.cp.1.8		18	99.5	odd	30

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:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.m (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0603978 + 0.574647i) q^{2} +(0.641057 + 1.60905i) q^{3} +(1.62972 + 0.346409i) q^{4} +(-0.314048 - 2.98797i) q^{5} +(-0.963355 + 0.271198i) q^{6} +(-0.779082 + 0.865259i) q^{7} +(-0.654602 + 2.01466i) q^{8} +(-2.17809 + 2.06299i) q^{9} +O(q^{10})\)	\(q+(-0.0603978 + 0.574647i) q^{2} +(0.641057 + 1.60905i) q^{3} +(1.62972 + 0.346409i) q^{4} +(-0.314048 - 2.98797i) q^{5} +(-0.963355 + 0.271198i) q^{6} +(-0.779082 + 0.865259i) q^{7} +(-0.654602 + 2.01466i) q^{8} +(-2.17809 + 2.06299i) q^{9} +1.73599 q^{10} +(-0.565602 - 3.26804i) q^{11} +(0.487356 + 2.84438i) q^{12} +(-3.60501 + 1.60505i) q^{13} +(-0.450163 - 0.499957i) q^{14} +(4.60647 - 2.42078i) q^{15} +(1.92600 + 0.857509i) q^{16} +(0.254185 - 0.184677i) q^{17} +(-1.05394 - 1.37623i) q^{18} +(1.96794 - 6.05670i) q^{19} +(0.523246 - 4.97835i) q^{20} +(-1.89168 - 0.698904i) q^{21} +(1.91213 - 0.127639i) q^{22} +(0.0427501 - 0.0740453i) q^{23} +(-3.66132 + 0.238222i) q^{24} +(-3.93860 + 0.837174i) q^{25} +(-0.704604 - 2.16855i) q^{26} +(-4.71573 - 2.18217i) q^{27} +(-1.56942 + 1.14025i) q^{28} +(-5.15218 + 5.72208i) q^{29} +(1.11287 + 2.79330i) q^{30} +(5.96439 - 2.65552i) q^{31} +(-2.72743 + 4.72404i) q^{32} +(4.89586 - 3.00508i) q^{33} +(0.0907715 + 0.157221i) q^{34} +(2.83004 + 2.05614i) q^{35} +(-4.26433 + 2.60759i) q^{36} +(-1.92922 - 5.93753i) q^{37} +(3.36160 + 1.49668i) q^{38} +(-4.89363 - 4.77171i) q^{39} +(6.22531 + 1.32323i) q^{40} +(3.88703 + 4.31698i) q^{41} +(0.515876 - 1.04484i) q^{42} +(3.39229 + 5.87562i) q^{43} +(0.210303 - 5.52194i) q^{44} +(6.84817 + 5.86020i) q^{45} +(0.0399679 + 0.0290384i) q^{46} +(0.320574 - 0.0681401i) q^{47} +(-0.145103 + 3.64874i) q^{48} +(0.589996 + 5.61344i) q^{49} +(-0.243197 - 2.31387i) q^{50} +(0.460101 + 0.290609i) q^{51} +(-6.43117 + 1.36699i) q^{52} +(1.96000 + 1.42402i) q^{53} +(1.53880 - 2.57808i) q^{54} +(-9.58718 + 2.71632i) q^{55} +(-1.23321 - 2.13598i) q^{56} +(11.0071 - 0.716169i) q^{57} +(-2.97699 - 3.30629i) q^{58} +(2.24586 + 0.477372i) q^{59} +(8.34586 - 2.34948i) q^{60} +(-12.5039 - 5.56709i) q^{61} +(1.16575 + 3.58780i) q^{62} +(-0.0881031 - 3.49185i) q^{63} +(0.861321 + 0.625787i) q^{64} +(5.92799 + 10.2676i) q^{65} +(1.43116 + 2.99489i) q^{66} +(-5.83989 + 10.1150i) q^{67} +(0.478226 - 0.212920i) q^{68} +(0.146548 + 0.0213198i) q^{69} +(-1.35248 + 1.50208i) q^{70} +(-7.05272 + 5.12410i) q^{71} +(-2.73043 - 5.73855i) q^{72} +(0.910538 + 2.80235i) q^{73} +(3.52850 - 0.750007i) q^{74} +(-3.87192 - 5.80073i) q^{75} +(5.30529 - 9.18904i) q^{76} +(3.26835 + 2.05668i) q^{77} +(3.03761 - 2.52391i) q^{78} +(0.928965 - 8.83851i) q^{79} +(1.95735 - 6.02412i) q^{80} +(0.488175 - 8.98675i) q^{81} +(-2.71551 + 1.97293i) q^{82} +(4.52916 + 2.01651i) q^{83} +(-2.84081 - 1.79431i) q^{84} +(-0.631634 - 0.701501i) q^{85} +(-3.58129 + 1.59449i) q^{86} +(-12.5100 - 4.62195i) q^{87} +(6.95423 + 0.999772i) q^{88} +2.12862 q^{89} +(-3.78116 + 3.58133i) q^{90} +(1.41981 - 4.36973i) q^{91} +(0.0953208 - 0.105864i) q^{92} +(8.09637 + 7.89467i) q^{93} +(0.0197945 + 0.188332i) q^{94} +(-18.7153 - 3.97805i) q^{95} +(-9.34966 - 1.36019i) q^{96} +(0.00928623 - 0.0883526i) q^{97} -3.26138 q^{98} +(7.97386 + 5.95127i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9}+O(q^{10}) \) 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9	\( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19} - 45 q^{20} - 16 q^{21} - 16 q^{22} + 20 q^{23} + 36 q^{24} + 11 q^{25} - 12 q^{26} + 27 q^{27} - 54 q^{28} - 23 q^{29} - 6 q^{30} + 3 q^{31} + 18 q^{32} + 28 q^{33} + 8 q^{34} + 18 q^{35} + 75 q^{36} - 42 q^{37} - q^{38} - 11 q^{39} - 25 q^{40} + 10 q^{41} + 61 q^{42} - 8 q^{43} + 38 q^{44} + 40 q^{45} - 18 q^{46} - 34 q^{47} - 50 q^{48} + q^{49} + 42 q^{51} - 27 q^{52} + 4 q^{53} + 34 q^{54} + 18 q^{55} + 114 q^{56} - 21 q^{57} + q^{58} - 16 q^{59} - 63 q^{60} - 3 q^{61} + 184 q^{62} - 10 q^{63} + 26 q^{64} + 84 q^{65} + 93 q^{66} + 10 q^{67} - 23 q^{68} + 42 q^{69} - 46 q^{70} - 48 q^{71} + 2 q^{72} - 40 q^{73} + 68 q^{74} + 28 q^{75} + 16 q^{76} - 26 q^{77} - 64 q^{78} + 19 q^{79} - 56 q^{80} + 14 q^{81} + 94 q^{82} + 7 q^{83} - 15 q^{84} + 25 q^{85} - 77 q^{86} - 120 q^{87} + 18 q^{88} - 56 q^{89} - 64 q^{90} + 20 q^{91} + 50 q^{92} - 53 q^{93} - 63 q^{94} - 77 q^{95} - 97 q^{96} - 33 q^{97} - 328 q^{98} - 182 q^{99}+O(q^{100}) \) 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

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