LMFDB - Embedded newform 192.2.s.a.59.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			59.11
Character	$\chi$	$=$	192.59
Dual form			192.2.s.a.179.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.596586 - 1.28222i) q^{2} +(-1.72626 - 0.141545i) q^{3} +(-1.28817 + 1.52991i) q^{4} +(-0.236051 + 1.18671i) q^{5} +(0.848370 + 2.29788i) q^{6} +(1.67303 + 0.692992i) q^{7} +(2.73018 + 0.738993i) q^{8} +(2.95993 + 0.488686i) q^{9} +O(q^{10})$	\(q+(-0.596586 - 1.28222i) q^{2} +(-1.72626 - 0.141545i) q^{3} +(-1.28817 + 1.52991i) q^{4} +(-0.236051 + 1.18671i) q^{5} +(0.848370 + 2.29788i) q^{6} +(1.67303 + 0.692992i) q^{7} +(2.73018 + 0.738993i) q^{8} +(2.95993 + 0.488686i) q^{9} +(1.66245 - 0.405306i) q^{10} +(-0.195719 - 0.292915i) q^{11} +(2.44026 - 2.45868i) q^{12} +(1.51912 - 0.302171i) q^{13} +(-0.109540 - 2.55862i) q^{14} +(0.575458 - 2.01516i) q^{15} +(-0.681239 - 3.94156i) q^{16} +(5.35769 + 5.35769i) q^{17} +(-1.13925 - 4.08682i) q^{18} +(0.449975 - 0.0895056i) q^{19} +(-1.51148 - 1.88982i) q^{20} +(-2.78999 - 1.43309i) q^{21} +(-0.258817 + 0.425704i) q^{22} +(-5.61589 + 2.32618i) q^{23} +(-4.60840 - 1.66213i) q^{24} +(3.26684 + 1.35317i) q^{25} +(-1.29373 - 1.76757i) q^{26} +(-5.04043 - 1.26256i) q^{27} +(-3.21536 + 1.66689i) q^{28} +(2.38167 + 1.59138i) q^{29} +(-2.92718 + 0.464351i) q^{30} +7.41430 q^{31} +(-4.64753 + 3.22498i) q^{32} +(0.296402 + 0.533350i) q^{33} +(3.67341 - 10.0661i) q^{34} +(-1.21730 + 1.82182i) q^{35} +(-4.56054 + 3.89891i) q^{36} +(-1.66041 + 8.34743i) q^{37} +(-0.383215 - 0.523569i) q^{38} +(-2.66516 + 0.306602i) q^{39} +(-1.52143 + 3.06549i) q^{40} +(-1.93381 - 4.66864i) q^{41} +(-0.173066 + 4.43234i) q^{42} +(-1.78480 - 2.67114i) q^{43} +(0.700253 + 0.0778912i) q^{44} +(-1.27862 + 3.39722i) q^{45} +(6.33304 + 5.81304i) q^{46} +(-0.866687 + 0.866687i) q^{47} +(0.618085 + 6.90058i) q^{48} +(-2.63096 - 2.63096i) q^{49} +(-0.213893 - 4.99608i) q^{50} +(-8.49040 - 10.0071i) q^{51} +(-1.49459 + 2.71336i) q^{52} +(-0.141316 + 0.0944244i) q^{53} +(1.38817 + 7.21616i) q^{54} +(0.393805 - 0.163119i) q^{55} +(4.05556 + 3.12835i) q^{56} +(-0.789442 + 0.0908180i) q^{57} +(0.619627 - 4.00322i) q^{58} +(8.97405 + 1.78505i) q^{59} +(2.34172 + 3.47626i) q^{60} +(-11.0615 - 7.39103i) q^{61} +(-4.42327 - 9.50675i) q^{62} +(4.61340 + 2.86879i) q^{63} +(6.90778 + 4.03517i) q^{64} +1.87408i q^{65} +(0.507042 - 0.698241i) q^{66} +(-2.80422 + 4.19682i) q^{67} +(-15.0984 + 1.29516i) q^{68} +(10.0237 - 3.22068i) q^{69} +(3.06220 + 0.473973i) q^{70} +(-2.24207 + 5.41285i) q^{71} +(7.72001 + 3.52157i) q^{72} +(-6.08575 - 14.6923i) q^{73} +(11.6938 - 2.85096i) q^{74} +(-5.44787 - 2.79832i) q^{75} +(-0.442709 + 0.803719i) q^{76} +(-0.124457 - 0.625687i) q^{77} +(1.98313 + 3.23440i) q^{78} +(5.00420 - 5.00420i) q^{79} +(4.83830 + 0.121978i) q^{80} +(8.52237 + 2.89295i) q^{81} +(-4.83253 + 5.26481i) q^{82} +(-1.64358 - 8.26285i) q^{83} +(5.78648 - 2.42237i) q^{84} +(-7.62272 + 5.09334i) q^{85} +(-2.36020 + 3.88206i) q^{86} +(-3.88613 - 3.08425i) q^{87} +(-0.317888 - 0.944346i) q^{88} +(4.01147 - 9.68454i) q^{89} +(5.11879 - 0.387262i) q^{90} +(2.75093 + 0.547194i) q^{91} +(3.67538 - 11.5883i) q^{92} +(-12.7990 - 1.04946i) q^{93} +(1.62834 + 0.594228i) q^{94} +0.555118i q^{95} +(8.47931 - 4.90931i) q^{96} -0.511477i q^{97} +(-1.80387 + 4.94305i) q^{98} +(-0.436173 - 0.962653i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{1}{16}\right)$

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 $

$2$	−0.596586	−	1.28222i	−0.421850	−	0.906666i
$2$	−0.596586	−	1.28222i	−0.421850	−	0.906666i
$3$	−1.72626	−	0.141545i	−0.996655	−	0.0817210i
$3$	−1.72626	−	0.141545i	−0.996655	−	0.0817210i
$4$	−1.28817	+	1.52991i	−0.644085	+	0.764954i
$5$	−0.236051	+	1.18671i	−0.105565	+	0.530713i	0.891424	+	0.453171i	$0.149707\pi$
$5$	−0.236051	+	1.18671i	−0.105565	+	0.530713i	−0.996989	+	0.0775422i	$0.975293\pi$
$6$	0.848370	+	2.29788i	0.346346	+	0.938107i
$7$	1.67303	+	0.692992i	0.632346	+	0.261926i	0.675749	−	0.737131i	$-0.263820\pi$
$7$	1.67303	+	0.692992i	0.632346	+	0.261926i	−0.0434036	+	0.999058i	$0.513820\pi$
$8$	2.73018	+	0.738993i	0.965265	+	0.261273i
$9$	2.95993	+	0.488686i	0.986643	+	0.162895i
$10$	1.66245	−	0.405306i	0.525712	−	0.128169i
$11$	−0.195719	−	0.292915i	−0.0590116	−	0.0883172i	0.800790	−	0.598945i	$-0.204413\pi$
$11$	−0.195719	−	0.292915i	−0.0590116	−	0.0883172i	−0.859802	+	0.510628i	$0.829413\pi$
$12$	2.44026	−	2.45868i	0.704443	−	0.709760i
$13$	1.51912	−	0.302171i	0.421327	−	0.0838072i	0.0201268	−	0.999797i	$-0.493593\pi$
$13$	1.51912	−	0.302171i	0.421327	−	0.0838072i	0.401201	+	0.915990i	$0.368593\pi$
$14$	−0.109540	−	2.55862i	−0.0292758	−	0.683820i
$15$	0.575458	−	2.01516i	0.148583	−	0.520311i
$16$	−0.681239	−	3.94156i	−0.170310	−	0.985391i
$17$	5.35769	+	5.35769i	1.29943	+	1.29943i	0.928767	+	0.370664i	$0.120870\pi$
$17$	5.35769	+	5.35769i	1.29943	+	1.29943i	0.370664	+	0.928767i	$0.379130\pi$
$18$	−1.13925	−	4.08682i	−0.268524	−	0.963273i
$19$	0.449975	−	0.0895056i	0.103231	−	0.0205340i	−0.143204	−	0.989693i	$-0.545741\pi$
$19$	0.449975	−	0.0895056i	0.103231	−	0.0205340i	0.246436	+	0.969159i	$0.420741\pi$
$20$	−1.51148	−	1.88982i	−0.337978	−	0.422577i
$21$	−2.78999	−	1.43309i	−0.608826	−	0.312726i
$22$	−0.258817	+	0.425704i	−0.0551801	+	0.0907604i
$23$	−5.61589	+	2.32618i	−1.17099	+	0.485042i	−0.881521	−	0.472144i	$-0.843480\pi$
$23$	−5.61589	+	2.32618i	−1.17099	+	0.485042i	−0.289473	+	0.957186i	$0.593480\pi$
$24$	−4.60840	−	1.66213i	−0.940685	−	0.339282i
$25$	3.26684	+	1.35317i	0.653367	+	0.270634i
$26$	−1.29373	−	1.76757i	−0.253722	−	0.346649i
$27$	−5.04043	−	1.26256i	−0.970031	−	0.242980i
$28$	−3.21536	+	1.66689i	−0.607646	+	0.315013i
$29$	2.38167	+	1.59138i	0.442265	+	0.295512i	0.756694	−	0.653769i	$-0.226813\pi$
$29$	2.38167	+	1.59138i	0.442265	+	0.295512i	−0.314429	+	0.949281i	$0.601813\pi$
$30$	−2.92718	+	0.464351i	−0.534428	+	0.0847785i
$31$	7.41430			1.33165			0.665823	−	0.746109i	$-0.268080\pi$
$31$	7.41430			1.33165			0.665823	+	0.746109i	$0.268080\pi$
$32$	−4.64753	+	3.22498i	−0.821574	+	0.570101i
$33$	0.296402	+	0.533350i	0.0515969	+	0.0928443i
$34$	3.67341	−	10.0661i	0.629984	−	1.72631i
$35$	−1.21730	+	1.82182i	−0.205761	+	0.307944i
$36$	−4.56054	+	3.89891i	−0.760089	+	0.649819i
$37$	−1.66041	+	8.34743i	−0.272969	+	1.37231i	0.564323	+	0.825554i	$0.309137\pi$
$37$	−1.66041	+	8.34743i	−0.272969	+	1.37231i	−0.837292	+	0.546755i	$0.815863\pi$
$38$	−0.383215	−	0.523569i	−0.0621657	−	0.0849341i
$39$	−2.66516	+	0.306602i	−0.426767	+	0.0490956i
$40$	−1.52143	+	3.06549i	−0.240560	+	0.484697i
$41$	−1.93381	−	4.66864i	−0.302011	−	0.729118i	−0.999916	−	0.0129287i	$-0.995885\pi$
$41$	−1.93381	−	4.66864i	−0.302011	−	0.729118i	0.697906	−	0.716190i	$-0.254115\pi$
$42$	−0.173066	+	4.43234i	−0.0267046	+	0.683925i
$43$	−1.78480	−	2.67114i	−0.272179	−	0.407345i	0.670049	−	0.742317i	$-0.266273\pi$
$43$	−1.78480	−	2.67114i	−0.272179	−	0.407345i	−0.942228	+	0.334972i	$0.891273\pi$
$44$	0.700253	+	0.0778912i	0.105567	+	0.0117425i
$45$	−1.27862	+	3.39722i	−0.190606	+	0.506428i
$46$	6.33304	+	5.81304i	0.933755	+	0.857086i
$47$	−0.866687	+	0.866687i	−0.126419	+	0.126419i	−0.767486	−	0.641066i	$-0.778492\pi$
$47$	−0.866687	+	0.866687i	−0.126419	+	0.126419i	0.641066	+	0.767486i	$0.278492\pi$
$48$	0.618085	+	6.90058i	0.0892129	+	0.996013i
$49$	−2.63096	−	2.63096i	−0.375851	−	0.375851i
$50$	−0.213893	−	4.99608i	−0.0302490	−	0.706552i
$51$	−8.49040	−	10.0071i	−1.18889	−	1.40128i
$52$	−1.49459	+	2.71336i	−0.207262	+	0.376275i
$53$	−0.141316	+	0.0944244i	−0.0194113	+	0.0129702i	−0.565238	−	0.824928i	$-0.691216\pi$
$53$	−0.141316	+	0.0944244i	−0.0194113	+	0.0129702i	0.545827	+	0.837898i	$0.316216\pi$
$54$	1.38817	+	7.21616i	0.188906	+	0.981995i
$55$	0.393805	−	0.163119i	0.0531007	−	0.0219950i
$56$	4.05556	+	3.12835i	0.541947	+	0.418043i
$57$	−0.789442	+	0.0908180i	−0.104564	+	0.0120291i
$58$	0.619627	−	4.00322i	0.0813610	−	0.525649i
$59$	8.97405	+	1.78505i	1.16832	+	0.232394i	0.740872	−	0.671646i	$-0.234412\pi$
$59$	8.97405	+	1.78505i	1.16832	+	0.232394i	0.427449	+	0.904039i	$0.359412\pi$
$60$	2.34172	+	3.47626i	0.302314	+	0.448783i
$61$	−11.0615	−	7.39103i	−1.41627	−	0.946324i	−0.999300	−	0.0374060i	$-0.988091\pi$
$61$	−11.0615	−	7.39103i	−1.41627	−	0.946324i	−0.416974	−	0.908918i	$-0.636909\pi$
$62$	−4.42327	−	9.50675i	−0.561756	−	1.20736i
$63$	4.61340	+	2.86879i	0.581233	+	0.361434i
$64$	6.90778	+	4.03517i	0.863473	+	0.504396i
$65$			1.87408i			0.232451i
$66$	0.507042	−	0.698241i	0.0624125	−	0.0859475i
$67$	−2.80422	+	4.19682i	−0.342590	+	0.512723i	−0.962257	−	0.272142i	$-0.912268\pi$
$67$	−2.80422	+	4.19682i	−0.342590	+	0.512723i	0.619667	+	0.784865i	$0.287268\pi$
$68$	−15.0984	+	1.29516i	−1.83095	+	0.157061i
$69$	10.0237	−	3.22068i	1.20672	−	0.387725i
$70$	3.06220	+	0.473973i	0.366003	+	0.0566507i
$71$	−2.24207	+	5.41285i	−0.266085	+	0.642387i	−0.999292	−	0.0376191i	$-0.988023\pi$
$71$	−2.24207	+	5.41285i	−0.266085	+	0.642387i	0.733207	+	0.680006i	$0.238023\pi$
$72$	7.72001	+	3.52157i	0.909812	+	0.415021i
$73$	−6.08575	−	14.6923i	−0.712283	−	1.71960i	−0.694217	−	0.719766i	$-0.744249\pi$
$73$	−6.08575	−	14.6923i	−0.712283	−	1.71960i	−0.0180664	−	0.999837i	$-0.505751\pi$
$74$	11.6938	−	2.85096i	1.35938	−	0.331417i
$75$	−5.44787	−	2.79832i	−0.629066	−	0.323122i
$76$	−0.442709	+	0.803719i	−0.0507822	+	0.0921929i
$77$	−0.124457	−	0.625687i	−0.0141832	−	0.0713037i
$78$	1.98313	+	3.23440i	0.224545	+	0.366224i
$79$	5.00420	−	5.00420i	0.563016	−	0.563016i	−0.367147	−	0.930163i	$-0.619665\pi$
$79$	5.00420	−	5.00420i	0.563016	−	0.563016i	0.930163	+	0.367147i	$0.119665\pi$
$80$	4.83830	+	0.121978i	0.540938	+	0.0136375i
$81$	8.52237	+	2.89295i	0.946930	+	0.321439i
$82$	−4.83253	+	5.26481i	−0.533663	+	0.581402i
$83$	−1.64358	−	8.26285i	−0.180407	−	0.906966i	−0.959854	−	0.280498i	$-0.909500\pi$
$83$	−1.64358	−	8.26285i	−0.180407	−	0.906966i	0.779448	−	0.626467i	$-0.215500\pi$
$84$	5.78648	−	2.42237i	0.631357	−	0.264302i
$85$	−7.62272	+	5.09334i	−0.826800	+	0.552450i
$86$	−2.36020	+	3.88206i	−0.254507	+	0.418614i
$87$	−3.88613	−	3.08425i	−0.416637	−	0.330666i
$88$	−0.317888	−	0.944346i	−0.0338869	−	0.100668i
$89$	4.01147	−	9.68454i	0.425215	−	1.02656i	−0.555571	−	0.831469i	$-0.687500\pi$
$89$	4.01147	−	9.68454i	0.425215	−	1.02656i	0.980785	−	0.195090i	$-0.0624998\pi$
$90$	5.11879	−	0.387262i	0.539568	−	0.0408210i
$91$	2.75093	+	0.547194i	0.288376	+	0.0573615i
$92$	3.67538	−	11.5883i	0.383185	−	1.20817i
$93$	−12.7990	−	1.04946i	−1.32719	−	0.108824i
$94$	1.62834	+	0.594228i	0.167950	+	0.0612900i
$95$			0.555118i			0.0569539i
$96$	8.47931	−	4.90931i	0.865416	−	0.501054i
$97$		−	0.511477i		−	0.0519326i	−0.999663	−	0.0259663i	$-0.991734\pi$
$97$		−	0.511477i		−	0.0519326i	0.999663	−	0.0259663i	$-0.00826626\pi$
$98$	−1.80387	+	4.94305i	−0.182218	+	0.499324i
$99$	−0.436173	−	0.962653i	−0.0438370	−	0.0967503i
$100$	−6.27846	+	3.25485i	−0.627846	+	0.325485i
$101$	12.5246	+	2.49131i	1.24625	+	0.247894i	0.773781	−	0.633454i	$-0.218363\pi$
$101$	12.5246	+	2.49131i	1.24625	+	0.247894i	0.472468	+	0.881348i	$0.343363\pi$
$102$	−7.76604	+	16.8567i	−0.768953	+	1.66906i
$103$	−4.30678	+	10.3975i	−0.424360	+	1.02450i	0.556687	+	0.830723i	$0.312072\pi$
$103$	−4.30678	+	10.3975i	−0.424360	+	1.02450i	−0.981046	+	0.193773i	$0.937928\pi$
$104$	4.37077	+	0.297634i	0.428589	+	0.0291854i
$105$	2.35925	−	2.97263i	0.230239	−	0.290099i
$106$	0.205380	+	0.124866i	0.0199483	+	0.0121280i
$107$	13.0428	−	8.71489i	1.26089	−	0.842500i	0.268221	−	0.963357i	$-0.413564\pi$
$107$	13.0428	−	8.71489i	1.26089	−	0.842500i	0.992670	+	0.120857i	$0.0385643\pi$
$108$	8.42453	−	6.08500i	0.810651	−	0.585530i
$109$	1.47832	+	7.43204i	0.141598	+	0.711860i	0.984721	+	0.174140i	$0.0557144\pi$
$109$	1.47832	+	7.43204i	0.141598	+	0.711860i	−0.843123	+	0.537720i	$0.819286\pi$
$110$	−0.444093	−	0.407629i	−0.0423426	−	0.0388659i
$111$	4.04783	−	14.1748i	0.384203	−	1.34541i
$112$	1.59174	−	7.06644i	0.150405	−	0.667716i
$113$	0.382761	−	0.382761i	0.0360071	−	0.0360071i	−0.688874	−	0.724881i	$-0.741895\pi$
$113$	0.382761	−	0.382761i	0.0360071	−	0.0360071i	0.724881	+	0.688874i	$0.241895\pi$
$114$	0.587419	+	0.958057i	0.0550168	+	0.0897302i
$115$	−1.43486	−	7.21354i	−0.133802	−	0.672666i
$116$	−5.50267	+	1.59377i	−0.510910	+	0.147978i
$117$	4.64415	−	0.152034i	0.429352	−	0.0140556i
$118$	−3.06497	−	12.5716i	−0.282153	−	1.15731i
$119$	5.25074	+	12.6764i	0.481335	+	1.16204i
$120$	3.06029	−	5.07648i	0.279365	−	0.463417i
$121$	4.16202	−	10.0480i	0.378366	−	0.913456i
$122$	−2.87780	+	18.5926i	−0.260544	+	1.68329i
$123$	2.67744	+	8.33299i	0.241416	+	0.751360i
$124$	−9.55087	+	11.3432i	−0.857693	+	1.01865i
$125$	−5.73805	+	8.58759i	−0.513226	+	0.768098i
$126$	0.926131	−	7.62687i	0.0825063	−	0.679455i
$127$			20.3875i			1.80909i	0.426374	+	0.904547i	$0.359791\pi$
$127$			20.3875i			1.80909i	−0.426374	+	0.904547i	$0.640209\pi$
$128$	1.05288	−	11.2646i	0.0930623	−	0.995660i
$129$	2.70293	+	4.86370i	0.237980	+	0.428225i
$130$	2.40298	−	1.11805i	0.210755	−	0.0980595i
$131$	−11.2463	−	7.51452i	−0.982592	−	0.656547i	−0.0430832	−	0.999071i	$-0.513718\pi$
$131$	−11.2463	−	7.51452i	−0.982592	−	0.656547i	−0.939509	+	0.342524i	$0.888718\pi$
$132$	−1.19779	−	0.233577i	−0.104254	−	0.0203303i
$133$	0.814849	+	0.162083i	0.0706563	+	0.0140544i
$134$	7.05420	+	1.09186i	0.609390	+	0.0943227i
$135$	2.68809	−	5.68350i	0.231354	−	0.489158i
$136$	10.6682	+	18.5868i	0.914788	+	1.59380i
$137$	−6.80483	+	2.81865i	−0.581376	+	0.240814i	−0.653935	−	0.756550i	$-0.726883\pi$
$137$	−6.80483	+	2.81865i	−0.581376	+	0.240814i	0.0725597	+	0.997364i	$0.476883\pi$
$138$	−10.1096	−	10.9312i	−0.860590	−	0.930526i
$139$	−6.22435	+	4.15897i	−0.527942	+	0.352760i	−0.790800	−	0.612075i	$-0.790335\pi$
$139$	−6.22435	+	4.15897i	−0.527942	+	0.352760i	0.262858	+	0.964835i	$0.415335\pi$
$140$	−1.21913	−	4.20917i	−0.103035	−	0.355740i
$141$	1.61880	−	1.37345i	0.136327	−	0.115665i
$142$	8.27804	−	0.354401i	0.694678	−	0.0297406i
$143$	−0.385831	−	0.385831i	−0.0322648	−	0.0322648i
$144$	−0.0902327	−	11.9997i	−0.00751939	−	0.999972i
$145$	−2.45071	+	2.45071i	−0.203520	+	0.203520i
$146$	−15.2081	+	16.5685i	−1.25863	+	1.37122i
$147$	4.16931	+	4.91411i	0.343879	+	0.405309i
$148$	−10.6319	−	13.2932i	−0.873938	−	1.09269i
$149$	−2.17395	−	3.25354i	−0.178097	−	0.266540i	0.731671	−	0.681658i	$-0.238741\pi$
$149$	−2.17395	−	3.25354i	−0.178097	−	0.266540i	−0.909768	+	0.415117i	$0.863741\pi$
$150$	−0.337936	+	8.65480i	−0.0275924	+	0.706661i
$151$	−5.27703	−	12.7399i	−0.429438	−	1.03676i	−0.979466	−	0.201610i	$-0.935383\pi$
$151$	−5.27703	−	12.7399i	−0.429438	−	1.03676i	0.550028	−	0.835147i	$-0.314617\pi$
$152$	1.29466	+	0.0881617i	0.105011	+	0.00715086i
$153$	13.2402	+	18.4766i	1.07040	+	1.49375i
$154$	−0.728019	+	0.532858i	−0.0586654	+	0.0429389i
$155$	−1.75015	+	8.79862i	−0.140576	+	0.706722i
$156$	2.96410	−	4.47240i	0.237318	−	0.358079i
$157$	8.90728	−	13.3307i	0.710878	−	1.06390i	−0.283598	−	0.958943i	$-0.591528\pi$
$157$	8.90728	−	13.3307i	0.710878	−	1.06390i	0.994476	−	0.104961i	$-0.0334717\pi$
$158$	−9.40191	−	3.43104i	−0.747976	−	0.272959i
$159$	0.257313	−	0.142998i	0.0204063	−	0.0113405i
$160$	−2.73006	−	6.27653i	−0.215830	−	0.496203i
$161$	−11.0076			−0.867519
$162$	−1.37493	−	12.6534i	−0.108025	−	0.994148i
$163$	14.0405	+	9.38160i	1.09974	+	0.734823i	0.966604	−	0.256274i	$-0.0824951\pi$
$163$	14.0405	+	9.38160i	1.09974	+	0.734823i	0.133137	+	0.991098i	$0.457495\pi$
$164$	9.63366	+	3.05544i	0.752263	+	0.238590i
$165$	−0.702898	+	0.225845i	−0.0547205	+	0.0175820i
$166$	−9.61424	+	7.03694i	−0.746210	+	0.546172i
$167$	−2.92551	−	1.21179i	−0.226383	−	0.0937709i	0.266609	−	0.963805i	$-0.414097\pi$
$167$	−2.92551	−	1.21179i	−0.226383	−	0.0937709i	−0.492992	+	0.870034i	$0.664097\pi$
$168$	−6.55814	−	5.97438i	−0.505971	−	0.460934i
$169$	−9.79402	+	4.05682i	−0.753386	+	0.312063i
$170$	11.0784	+	6.73537i	0.849673	+	0.516580i
$171$	1.37564	−	0.0450338i	0.105197	−	0.00344382i
$172$	6.38572	+	0.710302i	0.486906	+	0.0541600i
$173$	−22.7182	+	4.51893i	−1.72723	+	0.343568i	−0.956085	−	0.293089i	$-0.905317\pi$
$173$	−22.7182	+	4.51893i	−1.72723	+	0.343568i	−0.771147	+	0.636657i	$0.780317\pi$
$174$	−1.63627	+	6.82289i	−0.124045	+	0.517242i
$175$	4.52778	+	4.52778i	0.342268	+	0.342268i
$176$	−1.02121	+	0.970986i	−0.0769767	+	0.0731908i
$177$	−15.2388	−	4.35168i	−1.14542	−	0.327093i
$178$	−14.8109	+	0.634085i	−1.11012	+	0.0475267i
$179$	18.5016	−	3.68020i	1.38288	−	0.275071i	0.553076	−	0.833131i	$-0.313454\pi$
$179$	18.5016	−	3.68020i	1.38288	−	0.275071i	0.829801	+	0.558060i	$0.188454\pi$
$180$	−3.55036	−	6.33238i	−0.264628	−	0.471988i
$181$	−0.577414	−	0.864161i	−0.0429189	−	0.0642326i	0.809390	−	0.587272i	$-0.199798\pi$
$181$	−0.577414	−	0.864161i	−0.0429189	−	0.0642326i	−0.852309	+	0.523039i	$0.824798\pi$
$182$	−0.939545	−	3.85374i	−0.0696437	−	0.285659i
$183$	18.0488	+	14.3245i	1.33420	+	1.05890i
$184$	−17.0514	+	2.20079i	−1.25705	+	0.162244i
$185$	−9.51404	−	3.94085i	−0.699486	−	0.289737i
$186$	6.29007	+	17.0372i	0.461210	+	1.24923i
$187$	0.520743	−	2.61795i	0.0380805	−	0.191444i
$188$	−0.209512	−	2.44239i	−0.0152802	−	0.178130i
$189$	−7.55785	−	5.60528i	−0.549752	−	0.407724i
$190$	0.711783	−	0.331176i	0.0516381	−	0.0240260i
$191$	−16.8412			−1.21859			−0.609293	−	0.792945i	$-0.708547\pi$
$191$	−16.8412			−1.21859			−0.609293	+	0.792945i	$0.708547\pi$
$192$	−11.3534	−	7.94350i	−0.819365	−	0.573273i
$193$	−11.0212			−0.793325			−0.396662	−	0.917965i	$-0.629832\pi$
$193$	−11.0212			−0.793325			−0.396662	+	0.917965i	$0.629832\pi$
$194$	−0.655825	+	0.305140i	−0.0470855	+	0.0219078i
$195$	0.265267	−	3.23515i	0.0189961	−	0.231674i
$196$	7.41424	−	0.636004i	0.529588	−	0.0454289i
$197$	−0.621690	+	3.12545i	−0.0442936	+	0.222679i	−0.996592	−	0.0824897i	$-0.973713\pi$
$197$	−0.621690	+	3.12545i	−0.0442936	+	0.222679i	0.952298	+	0.305169i	$0.0987128\pi$
$198$	−0.974117	+	1.13357i	−0.0692275	+	0.0805596i
$199$	−5.19611	−	2.15230i	−0.368342	−	0.152572i	0.190832	−	0.981623i	$-0.438882\pi$
$199$	−5.19611	−	2.15230i	−0.368342	−	0.152572i	−0.559174	+	0.829050i	$0.688882\pi$
$200$	7.91908	+	6.10856i	0.559963	+	0.431941i
$201$	5.43485	−	6.84786i	0.383345	−	0.483011i
$202$	−4.27763	−	17.5456i	−0.300973	−	1.23450i
$203$	2.88179	+	4.31291i	0.202262	+	0.302707i
$204$	26.2470	−	0.0986822i	1.83766	−	0.00690914i
$205$	5.99680	−	1.19284i	0.418834	−	0.0833114i
$206$	15.9012	−	0.680765i	1.10789	−	0.0474312i
$207$	−17.7594	+	4.14092i	−1.23437	+	0.287814i
$208$	−2.22591	−	5.78185i	−0.154339	−	0.400899i
$209$	−0.114286	−	0.114286i	−0.00790536	−	0.00790536i
$210$	−5.21905	−	1.25164i	−0.360149	−	0.0863713i
$211$	−1.77557	+	0.353183i	−0.122235	+	0.0243141i	−0.255829	−	0.966722i	$-0.582348\pi$
$211$	−1.77557	+	0.353183i	−0.122235	+	0.0243141i	0.133594	+	0.991036i	$0.457348\pi$
$212$	0.0375784	−	0.337835i	0.00258090	−	0.0232026i
$213$	4.63656	−	9.02661i	0.317692	−	0.618493i
$214$	−18.9555	−	11.5245i	−1.29577	−	0.787797i
$215$	3.59117	−	1.48751i	0.244916	−	0.101447i
$216$	−12.8283	−	7.17186i	−0.872853	−	0.487983i
$217$	12.4043	+	5.13805i	0.842061	+	0.348793i
$218$	8.64755	−	6.32939i	0.585686	−	0.428680i
$219$	8.42595	+	26.2241i	0.569373	+	1.77206i
$220$	−0.257730	+	0.812611i	−0.0173761	+	0.0547862i
$221$	9.75790	+	6.52002i	0.656388	+	0.438584i
$222$	−20.5901	+	3.26629i	−1.38191	+	0.219219i
$223$	11.7629			0.787703			0.393852	−	0.919174i	$-0.371142\pi$
$223$	11.7629			0.787703			0.393852	+	0.919174i	$0.371142\pi$
$224$	−10.0103	+	2.17479i	−0.668844	+	0.145309i
$225$	9.00833	+	5.60174i	0.600556	+	0.373449i
$226$	−0.719134	−	0.262433i	−0.0478361	−	0.0174568i
$227$	1.26179	−	1.88841i	0.0837482	−	0.125338i	−0.787230	−	0.616659i	$-0.788486\pi$
$227$	1.26179	−	1.88841i	0.0837482	−	0.125338i	0.870979	+	0.491321i	$0.163486\pi$
$228$	0.877992	−	1.32476i	0.0581464	−	0.0877346i
$229$	4.61236	−	23.1879i	0.304793	−	1.53230i	−0.459939	−	0.887951i	$-0.652129\pi$
$229$	4.61236	−	23.1879i	0.304793	−	1.53230i	0.764732	−	0.644348i	$-0.222871\pi$
$230$	−8.39331	+	6.14330i	−0.553439	+	0.405077i
$231$	0.126282	+	1.09771i	0.00830874	+	0.0722243i
$232$	5.32638	+	6.10480i	0.349694	+	0.400800i
$233$	−7.38685	−	17.8334i	−0.483929	−	1.16831i	−0.957728	−	0.287674i	$-0.907118\pi$
$233$	−7.38685	−	17.8334i	−0.483929	−	1.16831i	0.473800	−	0.880633i	$-0.342882\pi$
$234$	−2.96558	−	5.86411i	−0.193866	−	0.383349i
$235$	−0.823923	−	1.23309i	−0.0537468	−	0.0804378i
$236$	−14.2911	+	11.4300i	−0.930268	+	0.744031i
$237$	−9.34685	+	7.93021i	−0.607143	+	0.515123i
$238$	13.1214	−	14.2952i	0.850535	−	0.926618i
$239$	16.8325	−	16.8325i	1.08880	−	1.08880i	0.0931492	−	0.995652i	$-0.470307\pi$
$239$	16.8325	−	16.8325i	1.08880	−	1.08880i	0.995652	−	0.0931492i	$-0.0296934\pi$
$240$	−8.33489	−	0.895402i	−0.538015	−	0.0577980i
$241$	7.55413	+	7.55413i	0.486605	+	0.486605i	0.907233	−	0.420628i	$-0.138190\pi$
$241$	7.55413	+	7.55413i	0.486605	+	0.486605i	−0.420628	+	0.907233i	$0.638190\pi$
$242$	−15.3668	+	0.657884i	−0.987813	+	0.0422904i
$243$	−14.3023	−	6.20028i	−0.917495	−	0.397748i
$244$	25.5566	−	7.40212i	1.63610	−	0.473872i
$245$	3.74322	−	2.50114i	0.239146	−	0.159792i
$246$	9.08739	−	8.40441i	0.579391	−	0.535845i
$247$	0.656519	−	0.271939i	0.0417733	−	0.0173031i
$248$	20.2424	+	5.47911i	1.28539	+	0.347924i
$249$	1.66768	+	14.4964i	0.105685	+	0.918675i
$250$	14.4344	+	2.23419i	0.912912	+	0.141303i
$251$	−0.0778052	−	0.0154764i	−0.00491102	−	0.000976863i	0.192634	−	0.981271i	$-0.438297\pi$
$251$	−0.0778052	−	0.0154764i	−0.00491102	−	0.000976863i	−0.197545	+	0.980294i	$0.563297\pi$
$252$	−10.3318	+	3.36258i	−0.650844	+	0.211823i
$253$	1.78051	+	1.18970i	0.111940	+	0.0747958i
$254$	26.1412	−	12.1629i	1.64024	−	0.763167i
$255$	13.8797	−	7.71345i	0.869181	−	0.483035i
$256$	−15.0718	+	5.37029i	−0.941989	+	0.335643i
$257$		−	12.0673i		−	0.752736i	−0.926470	−	0.376368i	$-0.877173\pi$
$257$		−	12.0673i		−	0.752736i	0.926470	−	0.376368i	$-0.122827\pi$
$258$	4.62379	−	6.36737i	0.287865	−	0.396415i
$259$	−8.56261	+	12.8149i	−0.532055	+	0.796276i
$260$	−2.86717	−	2.41413i	−0.177814	−	0.149718i
$261$	6.27190	+	5.87427i	0.388221	+	0.363608i
$262$	−2.92589	+	18.9033i	−0.180762	+	1.16785i
$263$	−6.59833	+	15.9298i	−0.406871	+	0.982272i	0.579085	+	0.815267i	$0.303410\pi$
$263$	−6.59833	+	15.9298i	−0.406871	+	0.982272i	−0.985956	+	0.167006i	$0.946590\pi$
$264$	0.415089	+	1.67518i	0.0255469	+	0.103100i
$265$	−0.0786965	−	0.189990i	−0.00483429	−	0.0116710i
$266$	−0.278301	−	1.14151i	−0.0170637	−	0.0699905i
$267$	−8.29562	+	16.1502i	−0.507684	+	0.988376i
$268$	−2.80843	−	9.69642i	−0.171552	−	0.592303i
$269$	−1.04745	−	5.26591i	−0.0638644	−	0.321068i	0.935626	−	0.352993i	$-0.114836\pi$
$269$	−1.04745	−	5.26591i	−0.0638644	−	0.321068i	−0.999490	+	0.0319252i	$0.989836\pi$
$270$	−8.89117	−	0.0560261i	−0.541100	−	0.00340964i
$271$	10.9804	−	10.9804i	0.667010	−	0.667010i	−0.290013	−	0.957023i	$-0.593660\pi$
$271$	10.9804	−	10.9804i	0.667010	−	0.667010i	0.957023	+	0.290013i	$0.0936596\pi$
$272$	17.4678	−	24.7675i	1.05914	−	1.50175i
$273$	−4.67136	−	1.33398i	−0.282724	−	0.0807361i
$274$	7.67380	+	7.04371i	0.463591	+	0.425526i
$275$	−0.243020	−	1.22175i	−0.0146547	−	0.0736741i
$276$	−7.98492	+	19.4842i	−0.480636	+	1.17281i
$277$	−16.5708	+	11.0722i	−0.995642	+	0.665267i	−0.942808	−	0.333337i	$-0.891825\pi$
$277$	−16.5708	+	11.0722i	−0.995642	+	0.665267i	−0.0528340	+	0.998603i	$0.516825\pi$
$278$	9.04607	+	5.49978i	0.542547	+	0.329855i
$279$	21.9458	+	3.62326i	1.31386	+	0.216919i
$280$	−4.66977	+	4.07432i	−0.279072	+	0.243487i
$281$	−0.813714	+	1.96448i	−0.0485421	+	0.117191i	−0.946291	−	0.323318i	$-0.895202\pi$
$281$	−0.813714	+	1.96448i	−0.0485421	+	0.117191i	0.897748	+	0.440508i	$0.145202\pi$
$282$	−2.72682	−	1.25627i	−0.162380	−	0.0748100i
$283$	27.0094	+	5.37250i	1.60554	+	0.319362i	0.914851	−	0.403791i	$-0.132308\pi$
$283$	27.0094	+	5.37250i	1.60554	+	0.319362i	0.690688	+	0.723153i	$0.257308\pi$
$284$	−5.39299	−	10.4028i	−0.320015	−	0.617294i
$285$	0.0785742	−	0.958277i	0.00465433	−	0.0567634i
$286$	−0.264538	+	0.724902i	−0.0156425	+	0.0428644i
$287$		−	9.15088i		−	0.540160i
$288$	−15.3324	+	7.27453i	−0.903468	+	0.428656i
$289$			40.4097i			2.37704i
$290$	4.60440	+	1.68028i	0.270380	+	0.0986697i
$291$	−0.0723970	+	0.882941i	−0.00424399	+	0.0517589i
$292$	30.3173	+	9.61553i	1.77419	+	0.562706i
$293$	21.8303	+	4.34232i	1.27534	+	0.253681i	0.785899	−	0.618354i	$-0.212200\pi$
$293$	21.8303	+	4.34232i	1.27534	+	0.253681i	0.489442	+	0.872036i	$0.337200\pi$
$294$	3.81361	−	8.27765i	0.222414	−	0.482763i
$295$	−4.23667	+	10.2282i	−0.246669	+	0.595511i
$296$	−10.7019	+	21.5630i	−0.622035	+	1.25332i
$297$	0.616687	+	1.72353i	0.0357838	+	0.100009i
$298$	−2.87480	+	4.72849i	−0.166533	+	0.273914i
$299$	−7.82830	+	5.23070i	−0.452722	+	0.302499i
$300$	11.2990	−	4.73003i	0.652345	−	0.273088i
$301$	−1.13494	−	5.70574i	−0.0654170	−	0.328873i
$302$	−13.1871	+	14.3667i	−0.758832	+	0.826713i
$303$	−21.2681	−	6.07344i	−1.22182	−	0.348910i
$304$	−0.659333	−	1.71263i	−0.0378153	−	0.0982261i
$305$	11.3821	−	11.3821i	0.651736	−	0.651736i
$306$	15.7922	−	27.9997i	0.902778	−	1.60064i
$307$	−1.30264	−	6.54884i	−0.0743459	−	0.373762i	0.925643	−	0.378397i	$-0.123525\pi$
$307$	−1.30264	−	6.54884i	−0.0743459	−	0.373762i	−0.999989	+	0.00463515i	$0.998525\pi$
$308$	1.11757	+	0.615584i	0.0636792	+	0.0350761i
$309$	8.90633	−	17.3391i	0.506663	−	0.986389i
$310$	12.3259	−	3.00506i	0.700063	−	0.170676i
$311$	−8.66081	−	20.9090i	−0.491110	−	1.18564i	−0.954156	−	0.299309i	$-0.903244\pi$
$311$	−8.66081	−	20.9090i	−0.491110	−	1.18564i	0.463047	−	0.886334i	$-0.346756\pi$
$312$	−7.50294	−	1.13245i	−0.424771	−	0.0641126i
$313$	−0.187664	+	0.453060i	−0.0106074	+	0.0256085i	−0.929094	−	0.369842i	$-0.879412\pi$
$313$	−0.187664	+	0.453060i	−0.0106074	+	0.0256085i	0.918487	+	0.395451i	$0.129412\pi$
$314$	−22.4068	−	3.46817i	−1.26449	−	0.195720i
$315$	−4.49343	+	4.79758i	−0.253176	+	0.270313i
$316$	1.20971	+	14.1022i	0.0680514	+	0.793311i
$317$	2.48905	−	3.72513i	0.139799	−	0.209224i	−0.754963	−	0.655767i	$-0.772345\pi$
$317$	2.48905	−	3.72513i	0.139799	−	0.209224i	0.894762	+	0.446544i	$0.147345\pi$
$318$	−0.336865	−	0.244621i	−0.0188904	−	0.0137177i
$319$		−	1.00909i		−	0.0564983i
$320$	−6.41917	+	7.24503i	−0.358842	+	0.405009i
$321$	−23.7487	+	13.1980i	−1.32552	+	0.736641i
$322$	6.56697	+	14.1141i	0.365963	+	0.786550i
$323$	2.89037	+	1.93128i	0.160825	+	0.107460i
$324$	−15.4042	+	9.31183i	−0.855790	+	0.517324i
$325$	5.37160	+	1.06848i	0.297963	+	0.0592685i
$326$	3.65286	−	23.6000i	0.202313	−	1.30708i
$327$	−1.50000	−	13.0389i	−0.0829502	−	0.721050i
$328$	−1.82957	−	14.1753i	−0.101021	−	0.782700i
$329$	−2.05060	+	0.849386i	−0.113053	+	0.0468282i
$330$	0.708922	+	0.766532i	0.0390249	+	0.0421962i
$331$	−4.72899	+	3.15981i	−0.259929	+	0.173679i	−0.678706	−	0.734410i	$-0.737459\pi$
$331$	−4.72899	+	3.15981i	−0.259929	+	0.173679i	0.418777	+	0.908089i	$0.362459\pi$
$332$	14.7586	+	8.12942i	0.809984	+	0.446160i
$333$	−8.99396	+	23.8964i	−0.492866	+	1.30951i
$334$	0.191545	+	4.47408i	0.0104809	+	0.244811i
$335$	−4.31846	−	4.31846i	−0.235943	−	0.235943i
$336$	−3.74797	+	11.9732i	−0.204468	+	0.653192i
$337$	16.5565	−	16.5565i	0.901889	−	0.901889i	−0.0937107	−	0.995599i	$-0.529873\pi$
$337$	16.5565	−	16.5565i	0.901889	−	0.901889i	0.995599	+	0.0937107i	$0.0298729\pi$
$338$	11.0447	+	10.1378i	0.600753	+	0.551426i
$339$	−0.714922	+	0.606567i	−0.0388293	+	0.0329442i
$340$	2.02701	−	18.2231i	0.109930	−	0.988288i
$341$	−1.45112	−	2.17176i	−0.0785827	−	0.117607i
$342$	−0.878428	−	1.73700i	−0.0475000	−	0.0939261i
$343$	−7.42938	−	17.9361i	−0.401149	−	0.968459i
$344$	−2.89887	−	8.61164i	−0.156296	−	0.464308i
$345$	1.45590	+	12.6555i	0.0783831	+	0.681350i
$346$	19.3476	+	26.4338i	1.04013	+	1.42109i
$347$	4.52316	−	22.7394i	0.242816	−	1.22072i	−0.646317	−	0.763069i	$-0.723692\pi$
$347$	4.52316	−	22.7394i	0.242816	−	1.22072i	0.889133	−	0.457649i	$-0.151308\pi$
$348$	9.72461	−	1.97238i	0.521294	−	0.105731i
$349$	12.7156	−	19.0302i	0.680649	−	1.01866i	−0.316884	−	0.948464i	$-0.602636\pi$
$349$	12.7156	−	19.0302i	0.680649	−	1.01866i	0.997533	−	0.0701993i	$-0.0223635\pi$
$350$	3.10439	−	8.50682i	0.165937	−	0.454709i
$351$	−8.03852	−	0.394906i	−0.429064	−	0.0210785i
$352$	1.85426	+	0.730139i	0.0988322	+	0.0389165i
$353$	−21.2771			−1.13247			−0.566233	−	0.824245i	$-0.691600\pi$
$353$	−21.2771			−1.13247			−0.566233	+	0.824245i	$0.691600\pi$
$354$	3.51148	+	22.1357i	0.186633	+	1.17650i
$355$	−5.89423	−	3.93840i	−0.312833	−	0.209029i
$356$	9.64900	+	18.6125i	0.511396	+	0.986461i
$357$	−7.26985	−	22.6260i	−0.384761	−	1.19749i
$358$	−15.7566	−	21.5276i	−0.832765	−	1.13777i
$359$	−15.0547	−	6.23585i	−0.794556	−	0.329116i	−0.0517820	−	0.998658i	$-0.516490\pi$
$359$	−15.0547	−	6.23585i	−0.794556	−	0.329116i	−0.742774	+	0.669543i	$0.766490\pi$
$360$	−6.00140	+	8.33014i	−0.316302	+	0.439037i
$361$	−17.3592	+	7.19043i	−0.913644	+	0.378444i
$362$	−0.763566	+	1.25592i	−0.0401322	+	0.0660096i
$363$	−8.60697	+	16.7564i	−0.451749	+	0.879480i
$364$	−4.38082	+	3.50379i	−0.229618	+	0.183649i
$365$	18.8720	−	3.75388i	0.987808	−	0.196487i
$366$	7.59951	−	31.6883i	0.397233	−	1.65637i
$367$	−17.9288	−	17.9288i	−0.935877	−	0.935877i	0.0621874	−	0.998064i	$-0.480192\pi$
$367$	−17.9288	−	17.9288i	−0.935877	−	0.935877i	−0.998064	+	0.0621874i	$0.980192\pi$
$368$	12.9945	+	20.5507i	0.677388	+	1.07128i
$369$	−3.44245	−	14.7639i	−0.179207	−	0.768576i
$370$	0.622922	+	14.5501i	0.0323842	+	0.756426i
$371$	−0.301861	+	0.0600440i	−0.0156719	+	0.00311733i
$372$	18.0928	−	18.2294i	0.938070	−	0.945150i
$373$	3.81912	+	5.71572i	0.197747	+	0.295949i	0.917070	−	0.398727i	$-0.130548\pi$
$373$	3.81912	+	5.71572i	0.197747	+	0.295949i	−0.719323	+	0.694676i	$0.755548\pi$
$374$	−3.66746	+	0.894128i	−0.189640	+	0.0462343i
$375$	11.1209	−	14.0122i	0.574280	−	0.723587i
$376$	−3.00669	+	1.72574i	−0.155058	+	0.0889981i
$377$	4.09891	+	1.69782i	0.211105	+	0.0874424i
$378$	−2.67829	+	13.0348i	−0.137756	+	0.670440i
$379$	4.14184	−	20.8224i	0.212752	−	1.06958i	−0.715781	−	0.698325i	$-0.753929\pi$
$379$	4.14184	−	20.8224i	0.212752	−	1.06958i	0.928533	−	0.371251i	$-0.121071\pi$
$380$	−0.849280	−	0.715086i	−0.0435671	−	0.0366831i
$381$	2.88574	−	35.1940i	0.147841	−	1.80304i
$382$	10.0472	+	21.5941i	0.514061	+	1.10485i
$383$	−14.0621			−0.718539			−0.359270	−	0.933234i	$-0.616974\pi$
$383$	−14.0621			−0.718539			−0.359270	+	0.933234i	$0.616974\pi$
$384$	−3.41199	+	19.2966i	−0.174117	+	0.984725i
$385$	0.771888			0.0393391
$386$	6.57511	+	14.1316i	0.334664	+	0.719280i
$387$	−3.97753	−	8.77858i	−0.202189	−	0.446240i
$388$	0.782513	+	0.658869i	0.0397261	+	0.0334490i
$389$	−1.56898	+	7.88779i	−0.0795504	+	0.399927i	0.920409	+	0.390956i	$0.127856\pi$
$389$	−1.56898	+	7.88779i	−0.0795504	+	0.399927i	−0.999960	+	0.00897073i	$0.997144\pi$
$390$	−4.30642	+	1.58991i	−0.218064	+	0.0805084i
$391$	−42.5512	−	17.6253i	−2.15191	−	0.891348i
$392$	−5.23873	−	9.12724i	−0.264596	−	0.460995i
$393$	18.3503	+	14.5639i	0.925652	+	0.734650i
$394$	4.37840	−	1.06746i	0.220581	−	0.0537777i
$395$	4.75728	+	7.11978i	0.239365	+	0.358235i
$396$	2.03464	+	0.572756i	0.102244	+	0.0287821i
$397$	15.0464	−	2.99291i	0.755157	−	0.150210i	0.197525	−	0.980298i	$-0.436710\pi$
$397$	15.0464	−	2.99291i	0.755157	−	0.150210i	0.557633	+	0.830088i	$0.311710\pi$
$398$	0.340210	+	7.94658i	0.0170532	+	0.398326i
$399$	−1.38370	−	0.395136i	−0.0692715	−	0.0197815i
$400$	3.10810	−	13.7983i	0.155405	−	0.689914i
$401$	6.24050	+	6.24050i	0.311636	+	0.311636i	0.845543	−	0.533907i	$-0.179277\pi$
$401$	6.24050	+	6.24050i	0.311636	+	0.311636i	−0.533907	+	0.845543i	$0.679277\pi$
$402$	−12.0228	−	2.88332i	−0.599643	−	0.143807i
$403$	11.2632	−	2.24039i	0.561059	−	0.111602i
$404$	−19.9453	+	15.9523i	−0.992317	+	0.793658i
$405$	−5.44481	+	9.43070i	−0.270555	+	0.468615i
$406$	3.81085	−	6.26811i	0.189130	−	0.311081i
$407$	2.77006	−	1.14740i	0.137307	−	0.0568744i
$408$	−15.7852	−	33.5956i	−0.781481	−	1.66323i
$409$	−16.7368	−	6.93262i	−0.827583	−	0.342796i	−0.0716377	−	0.997431i	$-0.522823\pi$
$409$	−16.7368	−	6.93262i	−0.827583	−	0.342796i	−0.755946	+	0.654634i	$0.772823\pi$
$410$	−5.10709	−	6.97757i	−0.252221	−	0.344598i
$411$	12.1459	−	3.90253i	0.599111	−	0.192498i
$412$	−10.3593	−	19.9827i	−0.510368	−	0.984477i
$413$	13.7768	+	9.20538i	0.677913	+	0.452967i
$414$	15.9046	+	20.3010i	0.781668	+	0.997742i
$415$	10.1936			0.500383
$416$	−6.08564	+	6.30347i	−0.298373	+	0.309053i
$417$	11.3335	−	6.29844i	0.555004	−	0.308436i
$418$	−0.0783585	+	0.214722i	−0.00383264	+	0.0105024i
$419$	−19.6961	+	29.4773i	−0.962219	+	1.44006i	−0.0653003	+	0.997866i	$0.520801\pi$
$419$	−19.6961	+	29.4773i	−0.962219	+	1.44006i	−0.896918	+	0.442196i	$0.854199\pi$
$420$	1.50874	+	7.43868i	0.0736190	+	0.362970i
$421$	−2.22772	+	11.1995i	−0.108573	+	0.545832i	0.887763	+	0.460301i	$0.152259\pi$
$421$	−2.22772	+	11.1995i	−0.108573	+	0.545832i	−0.996336	+	0.0855306i	$0.972741\pi$
$422$	1.51214	+	2.06597i	0.0736098	+	0.100570i
$423$	−2.98887	+	2.14179i	−0.145324	+	0.104138i
$424$	−0.455597	+	0.153364i	−0.0221258	+	0.00744802i
$425$	10.2528	+	24.7526i	0.497336	+	1.20068i
$426$	−14.3402	−	0.559929i	−0.694785	−	0.0271286i
$427$	−13.3842	−	20.0309i	−0.647708	−	0.969364i
$428$	−3.46830	+	31.1805i	−0.167646	+	1.50717i
$429$	0.611432	+	0.720657i	0.0295202	+	0.0347936i
$430$	−4.04976	−	3.71724i	−0.195297	−	0.179261i
$431$	−5.45637	+	5.45637i	−0.262824	+	0.262824i	−0.826200	−	0.563376i	$-0.809502\pi$
$431$	−5.45637	+	5.45637i	−0.262824	+	0.262824i	0.563376	+	0.826200i	$0.309502\pi$
$432$	−1.54273	+	20.7273i	−0.0742245	+	0.997242i
$433$	6.70357	+	6.70357i	0.322153	+	0.322153i	0.849593	−	0.527439i	$-0.176848\pi$
$433$	6.70357	+	6.70357i	0.322153	+	0.322153i	−0.527439	+	0.849593i	$0.676848\pi$
$434$	−0.812161	−	18.9704i	−0.0389850	−	0.910607i
$435$	4.57744	−	3.88367i	0.219471	−	0.186208i
$436$	−13.2747	−	7.31202i	−0.635741	−	0.350182i
$437$	−2.31881	+	1.54938i	−0.110924	+	0.0741168i
$438$	28.5982	−	26.4488i	1.36648	−	1.26377i
$439$	−1.64770	+	0.682501i	−0.0786406	+	0.0325740i	−0.421657	−	0.906755i	$-0.638551\pi$
$439$	−1.64770	+	0.682501i	−0.0786406	+	0.0325740i	0.343016	+	0.939329i	$0.388551\pi$
$440$	1.19570	−	0.154327i	0.0570029	−	0.00735723i
$441$	−6.50173	−	9.07316i	−0.309606	−	0.432055i
$442$	2.53866	−	16.4015i	0.120752	−	0.780141i
$443$	−24.1233	−	4.79843i	−1.14613	−	0.227980i	−0.414743	−	0.909938i	$-0.636129\pi$
$443$	−24.1233	−	4.79843i	−1.14613	−	0.227980i	−0.731391	+	0.681958i	$0.761129\pi$
$444$	16.4718	+	24.4523i	0.781719	+	1.16046i
$445$	10.5458	+	7.04650i	0.499920	+	0.334036i
$446$	−7.01760	−	15.0826i	−0.332293	−	0.714184i
$447$	3.29227	+	5.92416i	0.155719	+	0.280203i
$448$	8.76059	+	11.5380i	0.413899	+	0.545119i
$449$		−	16.6611i		−	0.786288i	−0.919477	−	0.393144i	$-0.871387\pi$
$449$		−	16.6611i		−	0.786288i	0.919477	−	0.393144i	$-0.128613\pi$
$450$	1.80841	−	14.8926i	0.0852491	−	0.702043i
$451$	−0.989028	+	1.48019i	−0.0465715	+	0.0696992i
$452$	0.0925283	+	1.07865i	0.00435216	+	0.0507355i
$453$	7.30624	+	22.7392i	0.343277	+	1.06838i
$454$	−3.17412	−	0.491297i	−0.148969	−	0.0230577i
$455$	−1.29872	+	3.13539i	−0.0608850	+	0.146989i
$456$	−2.22243	−	0.335442i	−0.104075	−	0.0157085i
$457$	−1.88990	−	4.56262i	−0.0884057	−	0.213430i	0.873493	−	0.486837i	$-0.161849\pi$
$457$	−1.88990	−	4.56262i	−0.0884057	−	0.213430i	−0.961898	+	0.273407i	$0.911849\pi$
$458$	−32.4836	+	7.91953i	−1.51786	+	0.370055i
$459$	−20.2407	−	33.7695i	−0.944753	−	1.57622i
$460$	12.8844	+	7.09705i	0.600738	+	0.330902i
$461$	2.63011	+	13.2224i	0.122496	+	0.615830i	0.992445	+	0.122688i	$0.0391516\pi$
$461$	2.63011	+	13.2224i	0.122496	+	0.615830i	−0.869949	+	0.493142i	$0.835848\pi$
$462$	1.33217	−	0.816802i	0.0619782	−	0.0380011i
$463$	−30.3105	+	30.3105i	−1.40865	+	1.40865i	−0.641653	+	0.766995i	$0.721751\pi$
$463$	−30.3105	+	30.3105i	−1.40865	+	1.40865i	−0.766995	+	0.641653i	$0.778249\pi$
$464$	4.65005	−	10.4716i	0.215873	−	0.486133i
$465$	4.26662	−	14.9410i	0.197860	−	0.692870i
$466$	−18.4595	+	20.1107i	−0.855118	+	0.931612i
$467$	0.567936	+	2.85521i	0.0262809	+	0.132123i	0.991698	−	0.128586i	$-0.0410437\pi$
$467$	0.567936	+	2.85521i	0.0262809	+	0.132123i	−0.965417	+	0.260709i	$0.916044\pi$
$468$	−5.74985	+	7.30097i	−0.265787	+	0.337487i
$469$	−7.59991	+	5.07810i	−0.350931	+	0.234485i
$470$	−1.08955	+	1.79209i	−0.0502571	+	0.0826631i
$471$	−17.2631	+	21.7514i	−0.795444	+	1.00225i
$472$	23.1816	+	11.5053i	1.06702	+	0.529572i
$473$	−0.433096	+	1.04559i	−0.0199138	+	0.0480761i
$474$	15.7445	+	7.25365i	0.723167	+	0.333171i
$475$	1.59111	+	0.316492i	0.0730052	+	0.0145216i
$476$	−26.1576	−	8.29621i	−1.19893	−	0.380256i
$477$	−0.464430	+	0.210430i	−0.0212648	+	0.00963495i
$478$	−31.6249	−	11.5409i	−1.44649	−	0.527868i
$479$			33.2241i			1.51805i	0.651063	+	0.759023i	$0.274323\pi$
$479$			33.2241i			1.51805i	−0.651063	+	0.759023i	$0.725677\pi$
$480$	3.82438	+	11.2213i	0.174558	+	0.512181i
$481$			13.1825i			0.601068i
$482$	5.17936	−	14.1927i	0.235913	−	0.646462i
$483$	19.0019	+	1.55807i	0.864617	+	0.0708945i
$484$	10.0112	+	19.3111i	0.455052	+	0.877776i
$485$	0.606975	+	0.120735i	0.0275613	+	0.00548229i
$486$	0.582456	+	22.0377i	0.0264207	+	0.999651i
$487$	1.13093	−	2.73032i	0.0512475	−	0.123722i	−0.896182	−	0.443686i	$-0.853671\pi$
$487$	1.13093	−	2.73032i	0.0512475	−	0.123722i	0.947430	+	0.319963i	$0.103671\pi$
$488$	−24.7379	−	28.3532i	−1.11983	−	1.28349i
$489$	−22.9097	−	18.1824i	−1.03601	−	0.822237i
$490$	−5.44017	−	3.30748i	−0.245762	−	0.149417i
$491$	11.3505	−	7.58416i	0.512241	−	0.342268i	−0.272435	−	0.962174i	$-0.587829\pi$
$491$	11.3505	−	7.58416i	0.512241	−	0.342268i	0.784676	+	0.619906i	$0.212829\pi$
$492$	−16.1977	−	6.63807i	−0.730249	−	0.299267i
$493$	4.23413	+	21.2864i	0.190696	+	0.958691i
$494$	−0.740356	−	0.679566i	−0.0333102	−	0.0305751i
$495$	1.24535	−	0.290375i	0.0559743	−	0.0130514i
$496$	−5.05091	−	29.2239i	−0.226792	−	1.31219i
$497$	−7.50211	+	7.50211i	−0.336516	+	0.336516i
$498$	17.5927	−	10.7867i	0.788348	−	0.483364i
$499$	6.99769	+	35.1797i	0.313259	+	1.57486i	0.741346	+	0.671124i	$0.234188\pi$
$499$	6.99769	+	35.1797i	0.313259	+	1.57486i	−0.428086	+	0.903738i	$0.640812\pi$
$500$	−5.74665	−	19.8410i	−0.256998	−	0.887315i
$501$	4.87867	+	2.50595i	0.217963	+	0.111958i
$502$	0.0265734	+	0.108996i	0.00118603	+	0.00486474i
$503$	−3.21744	−	7.76759i	−0.143459	−	0.346340i	0.835776	−	0.549071i	$-0.185018\pi$
$503$	−3.21744	−	7.76759i	−0.143459	−	0.346340i	−0.979234	+	0.202731i	$0.935018\pi$
$504$	10.4754	+	11.2416i	0.466611	+	0.500740i
$505$	−5.91292	+	14.2750i	−0.263121	+	0.635231i
$506$	0.463227	−	2.99277i	0.0205929	−	0.133045i
$507$	17.4812	−	5.61682i	0.776369	−	0.249452i
$508$	−31.1909	−	26.2625i	−1.38387	−	1.16521i
$509$	6.20342	−	9.28407i	0.274962	−	0.411509i	−0.668129	−	0.744046i	$-0.732904\pi$
$509$	6.20342	−	9.28407i	0.274962	−	0.411509i	0.943090	+	0.332536i	$0.107904\pi$
$510$	−18.1708	−	13.1951i	−0.804616	−	0.584288i
$511$		−	28.7980i		−	1.27395i
$512$	15.8775	+	16.1215i	0.701694	+	0.712478i
$513$	−2.38107	−	0.116974i	−0.105127	−	0.00516454i
$514$	−15.4729	+	7.19918i	−0.682480	+	0.317542i
$515$	−11.3222	−	7.56524i	−0.498915	−	0.333364i
$516$	−10.9228	−	2.13003i	−0.480852	−	0.0937693i
$517$	0.423493	+	0.0842380i	0.0186252	+	0.00370478i
$518$	21.5398	+	3.33397i	0.946404	+	0.146486i
$519$	39.8571	−	4.58519i	1.74953	−	0.201267i
$520$	−1.38493	+	5.11658i	−0.0607333	+	0.224377i
$521$	23.1719	−	9.59813i	1.01518	−	0.420502i	0.187838	−	0.982200i	$-0.439852\pi$
$521$	23.1719	−	9.59813i	1.01518	−	0.420502i	0.827342	+	0.561698i	$0.189852\pi$
$522$	3.79037	−	11.5465i	0.165900	−	0.505375i
$523$	2.25094	−	1.50403i	0.0984265	−	0.0657665i	−0.505383	−	0.862895i	$-0.668649\pi$
$523$	2.25094	−	1.50403i	0.0984265	−	0.0657665i	0.603809	+	0.797129i	$0.293649\pi$
$524$	25.9836	−	7.52580i	1.13510	−	0.328766i
$525$	−7.17523	−	8.45700i	−0.313153	−	0.369094i
$526$	24.3619	−	1.04299i	1.06223	−	0.0454764i
$527$	39.7235	+	39.7235i	1.73038	+	1.73038i
$528$	1.90031	−	1.53162i	0.0827004	−	0.0666554i
$529$	9.86370	−	9.86370i	0.428856	−	0.428856i
$530$	−0.196660	+	0.214252i	−0.00854235	+	0.00930650i
$531$	25.6902	+	9.66911i	1.11486	+	0.419604i
$532$	−1.29764	+	1.03785i	−0.0562597	+	0.0449966i
$533$	−4.34842	−	6.50786i	−0.188351	−	0.281887i
$534$	25.6571	+	1.00181i	1.11029	+	0.0433526i
$535$	7.26329	+	17.5351i	0.314019	+	0.758110i
$536$	−10.7575	+	9.38577i	−0.464651	+	0.405404i
$537$	−32.4595	+	3.73417i	−1.40073	+	0.161141i
$538$	−6.12715	+	4.48463i	−0.264160	+	0.193346i
$539$	−0.255717	+	1.28558i	−0.0110145	+	0.0553737i
$540$	5.23251	+	11.4339i	0.225172	+	0.492035i
$541$	−10.1967	+	15.2604i	−0.438389	+	0.656096i	−0.983214	−	0.182454i	$-0.941596\pi$
$541$	−10.1967	+	15.2604i	−0.438389	+	0.656096i	0.544825	+	0.838550i	$0.316596\pi$
$542$	−20.6300	−	7.52849i	−0.886133	−	0.323376i
$543$	0.874448	+	1.57350i	0.0375262	+	0.0675251i
$544$	−42.1785	−	7.62157i	−1.80839	−	0.326772i
$545$	−9.16863			−0.392741
$546$	1.07642	+	6.78554i	0.0460665	+	0.290394i
$547$	9.39841	+	6.27982i	0.401847	+	0.268506i	0.740029	−	0.672575i	$-0.234812\pi$
$547$	9.39841	+	6.27982i	0.401847	+	0.268506i	−0.338182	+	0.941081i	$0.609812\pi$
$548$	4.45349	−	14.0417i	0.190244	−	0.599830i
$549$	−29.1292	−	27.2825i	−1.24321	−	1.16439i
$550$	−1.42156	+	1.04048i	−0.0606157	+	0.0443663i
$551$	1.21413	+	0.502910i	0.0517237	+	0.0214247i
$552$	29.7467	−	1.38558i	1.26610	−	0.0589743i
$553$	11.8400	−	4.90430i	0.503490	−	0.208552i
$554$	24.0829	+	14.6418i	1.02319	+	0.622071i
$555$	15.8659	+	8.14958i	0.673469	+	0.345930i
$556$	1.65516	−	14.8801i	0.0701945	−	0.631059i
$557$	−0.973075	+	0.193557i	−0.0412305	+	0.00820126i	−0.215662	−	0.976468i	$-0.569191\pi$
$557$	−0.973075	+	0.193557i	−0.0412305	+	0.00820126i	0.174432	+	0.984669i	$0.444191\pi$
$558$	−8.44675	−	30.3009i	−0.357579	−	1.28274i
$559$	−3.51846	−	3.51846i	−0.148815	−	0.148815i
$560$	8.01009	+	3.55697i	0.338488	+	0.150310i
$561$	−1.26949	+	4.44555i	−0.0535981	+	0.187691i
$562$	3.00434	−	0.128622i	0.126730	−	0.00542560i
$563$	38.4068	−	7.63958i	1.61865	−	0.321970i	0.699126	−	0.714998i	$-0.253573\pi$
$563$	38.4068	−	7.63958i	1.61865	−	0.321970i	0.919526	+	0.393028i	$0.128573\pi$
$564$	0.0159633	+	4.24585i	0.000672177	+	0.178783i
$565$	0.363875	+	0.544578i	0.0153084	+	0.0229106i
$566$	−9.22470	−	37.8371i	−0.387743	−	1.59041i
$567$	12.2534	+	10.7459i	0.514594	+	0.451287i
$568$	−10.1213	+	13.1212i	−0.424681	+	0.550552i
$569$	−1.65125	−	0.683971i	−0.0692241	−	0.0286736i	0.347803	−	0.937568i	$-0.386928\pi$
$569$	−1.65125	−	0.683971i	−0.0692241	−	0.0286736i	−0.417027	+	0.908894i	$0.636928\pi$
$570$	−1.27560	+	0.470946i	−0.0534289	+	0.0197257i
$571$	4.40514	−	22.1461i	0.184349	−	0.926787i	−0.772236	−	0.635336i	$-0.780862\pi$
$571$	4.40514	−	22.1461i	0.184349	−	0.926787i	0.956586	−	0.291451i	$-0.0941382\pi$
$572$	1.08730	−	0.0932704i	0.0454624	−	0.00389983i
$573$	29.0722	+	2.38378i	1.21451	+	0.0995840i
$574$	−11.7334	+	5.45929i	−0.489744	+	0.227866i
$575$	−21.4939			−0.896358
$576$	18.4746	+	15.3195i	0.769776	+	0.638315i
$577$	33.8945			1.41105			0.705524	−	0.708687i	$-0.250712\pi$
$577$	33.8945			1.41105			0.705524	+	0.708687i	$0.250712\pi$
$578$	51.8141	−	24.1079i	2.15518	−	1.00276i
$579$	19.0255	+	1.56000i	0.790671	+	0.0648313i
$580$	−0.592431	−	6.90628i	−0.0245994	−	0.286768i
$581$	2.97632	−	14.9630i	0.123479	−	0.620769i
$582$	1.17531	−	0.433922i	0.0487183	−	0.0179866i
$583$	0.0553166	+	0.0229129i	0.00229098	+	0.000948955i
$584$	−5.75770	−	44.6100i	−0.238255	−	1.84597i
$585$	−0.915837	+	5.54715i	−0.0378652	+	0.229346i
$586$	−7.45587	−	30.5818i	−0.307999	−	1.26332i
$587$	4.76150	+	7.12609i	0.196528	+	0.294125i	0.916625	−	0.399749i	$-0.130903\pi$
$587$	4.76150	+	7.12609i	0.196528	+	0.294125i	−0.720097	+	0.693874i	$0.755903\pi$
$588$	−12.8889	+	0.0484590i	−0.531530	+	0.00199842i
$589$	3.33625	−	0.663621i	0.137468	−	0.0273440i
$590$	15.6424	−	0.669683i	0.643986	−	0.0275704i
$591$	1.51559	−	5.30733i	0.0623430	−	0.218314i
$592$	34.0331	+	0.858004i	1.39875	+	0.0352638i
$593$	8.20538	+	8.20538i	0.336954	+	0.336954i	0.855220	−	0.518265i	$-0.173422\pi$
$593$	8.20538	+	8.20538i	0.336954	+	0.336954i	−0.518265	+	0.855220i	$0.673422\pi$
$594$	1.84203	−	1.81896i	0.0755794	−	0.0746328i
$595$	−16.2827	+	3.23883i	−0.667525	+	0.132779i
$596$	7.77803	+	0.865173i	0.318601	+	0.0354389i
$597$	8.66517	+	4.45090i	0.354642	+	0.182163i
$598$	11.3772	+	6.91703i	0.465247	+	0.282858i
$599$	37.4991	−	15.5326i	1.53217	−	0.634646i	0.552187	−	0.833720i	$-0.313793\pi$
$599$	37.4991	−	15.5326i	1.53217	−	0.634646i	0.979984	+	0.199074i	$0.0637935\pi$
$600$	−12.8057	−	11.6659i	−0.522792	−	0.476257i
$601$	1.67208	+	0.692599i	0.0682056	+	0.0282517i	0.416525	−	0.909124i	$-0.363248\pi$
$601$	1.67208	+	0.692599i	0.0682056	+	0.0282517i	−0.348320	+	0.937376i	$0.613248\pi$
$602$	−6.63892	+	4.85921i	−0.270582	+	0.198047i
$603$	−10.3512	+	11.0519i	−0.421535	+	0.450068i
$604$	26.2885	+	8.33775i	1.06967	+	0.339258i
$605$	10.9416	+	7.31097i	0.444841	+	0.297233i
$606$	4.90080	+	30.8937i	0.199081	+	1.25497i
$607$	15.2468			0.618849			0.309425	−	0.950924i	$-0.399864\pi$
$607$	15.2468			0.618849			0.309425	+	0.950924i	$0.399864\pi$
$608$	−1.80262	+	1.86714i	−0.0731058	+	0.0757225i
$609$	−4.36425	−	7.85310i	−0.176848	−	0.318224i
$610$	−21.3847	−	7.80392i	−0.865842	−	0.315972i
$611$	−1.05471	+	1.57849i	−0.0426690	+	0.0638587i
$612$	−45.3231	−	3.54478i	−1.83208	−	0.143289i
$613$	−2.33457	+	11.7367i	−0.0942925	+	0.474040i	0.904569	+	0.426328i	$0.140193\pi$
$613$	−2.33457	+	11.7367i	−0.0942925	+	0.474040i	−0.998861	+	0.0477123i	$0.984807\pi$
$614$	−7.61990	+	5.57722i	−0.307514	+	0.225078i
$615$	−10.5209	+	1.21033i	−0.424242	+	0.0488051i
$616$	0.122588	−	1.80021i	0.00493922	−	0.0725326i
$617$	2.95975	+	7.14546i	0.119155	+	0.287666i	0.972192	−	0.234185i	$-0.0752420\pi$
$617$	2.95975	+	7.14546i	0.119155	+	0.287666i	−0.853037	+	0.521850i	$0.825242\pi$
$618$	−27.5460	−	1.07556i	−1.10806	−	0.0432655i
$619$	−11.0577	−	16.5490i	−0.444447	−	0.665162i	0.539834	−	0.841772i	$-0.318487\pi$
$619$	−11.0577	−	16.5490i	−0.444447	−	0.665162i	−0.984281	+	0.176610i	$0.943487\pi$
$620$	−11.2066	−	14.0117i	−0.450067	−	0.562723i
$621$	31.2435	−	4.63454i	1.25376	−	0.185977i
$622$	−21.6431	+	23.5791i	−0.867807	+	0.945436i
$623$	13.4226	−	13.4226i	0.537765	−	0.537765i
$624$	3.02410	+	10.2960i	0.121061	+	0.412171i
$625$	3.66513	+	3.66513i	0.146605	+	0.146605i
$626$	0.692879	−	0.0296636i	0.0276930	−	0.00118560i
$627$	0.181111	+	0.213465i	0.00723288	+	0.00852495i
$628$	8.92064	+	30.7995i	0.355972	+	1.22903i
$629$	−53.6189	+	35.8270i	−2.13793	+	1.42852i
$630$	8.83227	+	2.89938i	0.351886	+	0.115514i
$631$	9.44515	−	3.91231i	0.376006	−	0.155747i	−0.186674	−	0.982422i	$-0.559771\pi$
$631$	9.44515	−	3.91231i	0.376006	−	0.155747i	0.562679	+	0.826675i	$0.309771\pi$
$632$	17.3604	−	9.96430i	0.690561	−	0.396359i
$633$	3.11508	−	0.358362i	0.123813	−	0.0142436i
$634$	−6.26136	−	0.969147i	−0.248670	−	0.0384897i
$635$	−24.1940	−	4.81249i	−0.960110	−	0.190978i
$636$	−0.112689	+	0.577872i	−0.00446841	+	0.0229141i
$637$	−4.79173	−	3.20173i	−0.189855	−	0.126857i
$638$	−1.29388	+	0.602010i	−0.0512251	+	0.0238338i
$639$	−9.28156	+	14.9260i	−0.367173	+	0.590462i
$640$	13.1193	+	3.90849i	0.518586	+	0.154497i
$641$			8.18398i			0.323248i	0.986852	+	0.161624i	$0.0516731\pi$
$641$			8.18398i			0.323248i	−0.986852	+	0.161624i	$0.948327\pi$
$642$	31.0909	+	22.5773i	1.22706	+	0.891054i
$643$	−14.4944	+	21.6924i	−0.571604	+	0.855466i	−0.998814	−	0.0486863i	$-0.984497\pi$
$643$	−14.4944	+	21.6924i	−0.571604	+	0.855466i	0.427210	+	0.904152i	$0.359497\pi$
$644$	14.1796	−	16.8406i	0.558756	−	0.663612i
$645$	−6.40983	+	2.05952i	−0.252387	+	0.0810933i
$646$	0.751973	−	4.85827i	0.0295860	−	0.191146i
$647$	3.69489	−	8.92026i	0.145261	−	0.350692i	−0.834457	−	0.551074i	$-0.814218\pi$
$647$	3.69489	−	8.92026i	0.145261	−	0.350692i	0.979718	+	0.200382i	$0.0642183\pi$
$648$	21.1297	+	14.1963i	0.830055	+	0.557682i
$649$	−1.23353	−	2.97800i	−0.0484202	−	0.116897i
$650$	−1.83460	−	7.52500i	−0.0719589	−	0.295155i
$651$	−20.6858	−	10.6254i	−0.810741	−	0.416441i
$652$	−32.4396	+	9.39567i	−1.27043	+	0.367963i
$653$	−6.19427	−	31.1407i	−0.242401	−	1.21863i	−0.889754	−	0.456440i	$-0.849124\pi$
$653$	−6.19427	−	31.1407i	−0.242401	−	1.21863i	0.647354	−	0.762190i	$-0.275876\pi$
$654$	−15.8238	+	9.70213i	−0.618759	+	0.379383i
$655$	11.5723	−	11.5723i	0.452166	−	0.452166i
$656$	−17.0843	+	10.8027i	−0.667031	+	0.421774i
$657$	−10.8335	−	46.4622i	−0.422654	−	1.81266i
$658$	2.31246	+	2.12258i	0.0901490	+	0.0827470i
$659$	5.78780	+	29.0972i	0.225461	+	1.13347i	0.913201	+	0.407510i	$0.133603\pi$
$659$	5.78780	+	29.0972i	0.225461	+	1.13347i	−0.687740	+	0.725957i	$0.741397\pi$
$660$	0.559929	−	1.36630i	0.0217952	−	0.0531830i
$661$	−10.4672	+	6.99398i	−0.407128	+	0.272034i	−0.742227	−	0.670149i	$-0.766230\pi$
$661$	−10.4672	+	6.99398i	−0.407128	+	0.272034i	0.335099	+	0.942183i	$0.391230\pi$
$662$	6.87282	+	4.17850i	0.267120	+	0.162402i
$663$	−15.9218	−	12.6364i	−0.618351	−	0.490758i
$664$	1.61890	−	23.7737i	0.0628257	−	0.922598i
$665$	−0.384692	+	0.928729i	−0.0149177	+	0.0360146i
$666$	36.0061	−	2.72404i	1.39521	−	0.105554i
$667$	−17.0771	−	3.39684i	−0.661226	−	0.131526i
$668$	5.62248	−	2.91478i	0.217540	−	0.112776i
$669$	−20.3058	−	1.66498i	−0.785069	−	0.0643719i
$670$	−2.96088	+	8.11355i	−0.114389	+	0.313454i
$671$			4.68663i			0.180926i
$672$	17.5882	−	2.33733i	0.678481	−	0.0901646i
$673$		−	14.2382i		−	0.548843i	−0.961609	−	0.274422i	$-0.911514\pi$
$673$		−	14.2382i		−	0.548843i	0.961609	−	0.274422i	$-0.0884864\pi$
$674$	−31.1064	−	11.3517i	−1.19817	−	0.437249i
$675$	−14.7578	−	10.9451i	−0.568028	−	0.421278i
$676$	6.40980	−	20.2098i	0.246531	−	0.777301i
$677$	−29.4523	−	5.85843i	−1.13194	−	0.225158i	−0.406642	−	0.913588i	$-0.633300\pi$
$677$	−29.4523	−	5.85843i	−1.13194	−	0.225158i	−0.725303	+	0.688430i	$0.758300\pi$
$678$	1.20426	+	0.554818i	0.0462495	+	0.0213076i
$679$	0.354449	−	0.855716i	0.0136025	−	0.0328394i
$680$	−24.5753	+	8.27260i	−0.942421	+	0.317240i
$681$	−2.44548	+	3.08128i	−0.0937108	+	0.118075i
$682$	−1.91895	+	3.15630i	−0.0734803	+	0.120861i
$683$	−15.3354	+	10.2468i	−0.586795	+	0.392084i	−0.813230	−	0.581943i	$-0.802293\pi$
$683$	−15.3354	+	10.2468i	−0.586795	+	0.392084i	0.226435	+	0.974026i	$0.427293\pi$
$684$	−1.70315	+	2.16261i	−0.0651217	+	0.0826893i
$685$	−1.73863	−	8.74071i	−0.0664298	−	0.333965i
$686$	−18.5657	+	20.2265i	−0.708843	+	0.772252i
$687$	−11.2442	+	39.3754i	−0.428995	+	1.50227i
$688$	−9.31258	+	8.85457i	−0.355039	+	0.337577i
$689$	−0.186143	+	0.186143i	−0.00709150	+	0.00709150i
$690$	15.3586	−	9.41689i	0.584691	−	0.358495i
$691$	−0.954311	−	4.79764i	−0.0363037	−	0.182511i	0.958379	−	0.285500i	$-0.0921595\pi$
$691$	−0.954311	−	4.79764i	−0.0363037	−	0.182511i	−0.994683	+	0.102989i	$0.967159\pi$
$692$	22.3513	−	40.5779i	0.849670	−	1.54254i
$693$	−0.0626192	−	1.91281i	−0.00237871	−	0.0726617i
$694$	−31.8554	+	7.76636i	−1.20921	+	0.294807i
$695$	−3.46623	−	8.36823i	−0.131482	−	0.317425i
$696$	−8.33060	−	11.2924i	−0.315770	−	0.428037i
$697$	14.6523	−	35.3739i	0.554997	−	1.33988i
$698$	−31.9868	−	4.95099i	−1.21072	−	0.187398i
$699$	10.2274	+	31.8307i	0.386835	+	1.20395i
$700$	−12.7596	+	1.09454i	−0.482269	+	0.0413697i
$701$	−6.98329	+	10.4512i	−0.263755	+	0.394738i	−0.939583	−	0.342322i	$-0.888787\pi$
$701$	−6.98329	+	10.4512i	−0.263755	+	0.394738i	0.675827	+	0.737060i	$0.263787\pi$
$702$	4.28931	+	10.5427i	0.161890	+	0.397910i
$703$			3.90475i			0.147271i
$704$	−0.170027	−	2.81315i	−0.00640812	−	0.106025i
$705$	1.24777	+	2.24525i	0.0469936	+	0.0845610i
$706$	12.6936	+	27.2819i	0.477731	+	1.02677i
$707$	19.2276	+	12.8475i	0.723130	+	0.483180i
$708$	26.2879	−	17.7083i	0.987960	−	0.665520i
$709$	−5.46150	−	1.08636i	−0.205111	−	0.0407991i	0.0914654	−	0.995808i	$-0.470845\pi$
$709$	−5.46150	−	1.08636i	−0.205111	−	0.0407991i	−0.296576	+	0.955009i	$0.595845\pi$
$710$	−1.53347	+	9.90729i	−0.0575502	+	0.371814i
$711$	17.2576	−	12.3666i	0.647209	−	0.463783i
$712$	18.1088	−	23.4761i	0.678657	−	0.879804i
$713$	−41.6379	+	17.2470i	−1.55935	+	0.645904i
$714$	−24.6743	+	22.8199i	−0.923414	+	0.854013i
$715$	0.548946	−	0.366794i	0.0205294	−	0.0137173i
$716$	−18.2029	+	33.0465i	−0.680273	+	1.23501i
$717$	−31.4397	+	26.6746i	−1.17414	+	0.996182i
$718$	0.985690	+	23.0236i	0.0367856	+	0.859234i
$719$	−8.51084	−	8.51084i	−0.317401	−	0.317401i	0.530367	−	0.847768i	$-0.322054\pi$
$719$	−8.51084	−	8.51084i	−0.317401	−	0.317401i	−0.847768	+	0.530367i	$0.822054\pi$
$720$	14.2614	+	2.72546i	0.531492	+	0.101572i
$721$	−14.4107	+	14.4107i	−0.536684	+	0.536684i
$722$	19.5760	+	17.9686i	0.728543	+	0.668723i
$723$	−11.9711	−	14.1096i	−0.445211	−	0.524743i
$724$	2.06590	+	0.229796i	0.0767784	+	0.00854028i
$725$	5.62713	+	8.42159i	0.208986	+	0.312770i
$726$	26.6201	+	1.03941i	0.987965	+	0.0385762i
$727$	13.3478	+	32.2243i	0.495041	+	1.19513i	0.952124	+	0.305711i	$0.0988941\pi$
$727$	13.3478	+	32.2243i	0.495041	+	1.19513i	−0.457083	+	0.889424i	$0.651106\pi$
$728$	7.10617	+	3.52686i	0.263372	+	0.130714i
$729$	23.8119	+	12.7277i	0.881921	+	0.471396i
$730$	−16.0721	−	21.9586i	−0.594855	−	0.812723i
$731$	4.74874	−	23.8735i	0.175638	−	0.882994i
$732$	−45.1651	+	9.16055i	−1.66935	+	0.338584i
$733$	10.7811	−	16.1350i	0.398208	−	0.595961i	−0.577136	−	0.816648i	$-0.695830\pi$
$733$	10.7811	−	16.1350i	0.398208	−	0.595961i	0.975345	+	0.220687i	$0.0708299\pi$
$734$	−12.2926	+	33.6848i	−0.453727	+	1.24333i
$735$	−6.81579	+	3.78778i	−0.251404	+	0.139714i
$736$	18.5981	−	28.9221i	0.685536	−	1.06608i
$737$	1.77815			0.0654990
$738$	−16.8768	+	13.2219i	−0.621243	+	0.486705i
$739$	−16.0152	−	10.7010i	−0.589130	−	0.393644i	0.224973	−	0.974365i	$-0.427771\pi$
$739$	−16.0152	−	10.7010i	−0.589130	−	0.393644i	−0.814103	+	0.580721i	$0.802771\pi$
$740$	18.2848	−	9.47913i	0.672164	−	0.348460i
$741$	−1.17181	+	0.376510i	−0.0430476	+	0.0138314i
$742$	0.257076	+	0.351231i	0.00943755	+	0.0128941i
$743$	25.1918	+	10.4348i	0.924198	+	0.382815i	0.793474	−	0.608604i	$-0.208270\pi$
$743$	25.1918	+	10.4348i	0.924198	+	0.382815i	0.130723	+	0.991419i	$0.458270\pi$
$744$	−34.1680	−	12.3236i	−1.25266	−	0.451804i
$745$	4.37417	−	1.81184i	0.160257	−	0.0663808i
$746$	5.05037	−	8.30687i	0.184907	−	0.304136i
$747$	−0.826951	−	25.2607i	−0.0302566	−	0.924239i
$748$	3.33442	+	4.16905i	0.121919	+	0.152436i
$749$	27.8603	−	5.54175i	1.01799	−	0.202491i
$750$	−24.6013	−	5.89990i	−0.898312	−	0.215434i
$751$	16.9708	+	16.9708i	0.619274	+	0.619274i	0.945345	−	0.326072i	$-0.105725\pi$
$751$	16.9708	+	16.9708i	0.619274	+	0.619274i	−0.326072	+	0.945345i	$0.605725\pi$
$752$	4.00652	+	2.82568i	0.146103	+	0.103042i
$753$	0.132121	+	0.0377292i	0.00481476	+	0.00137493i
$754$	−0.268372	−	6.26860i	−0.00977353	−	0.228289i
$755$	16.3642	−	3.25504i	0.595554	−	0.118463i
$756$	18.3114	−	4.34226i	0.665977	−	0.157927i
$757$	−5.99152	−	8.96695i	−0.217766	−	0.325909i	0.706462	−	0.707751i	$-0.250290\pi$
$757$	−5.99152	−	8.96695i	−0.217766	−	0.325909i	−0.924228	+	0.381842i	$0.875290\pi$
$758$	−29.1698	+	7.11163i	−1.05950	+	0.258306i
$759$	−2.90523	−	2.30575i	−0.105453	−	0.0836935i
$760$	−0.410228	+	1.51557i	−0.0148805	+	0.0549756i
$761$	36.4626	+	15.1033i	1.32177	+	0.547494i	0.928295	−	0.371843i	$-0.121274\pi$
$761$	36.4626	+	15.1033i	1.32177	+	0.547494i	0.393471	+	0.919337i	$0.371274\pi$
$762$	−46.8480	+	17.2961i	−1.69712	+	0.626572i
$763$	−2.67706	+	13.4585i	−0.0969160	+	0.487230i
$764$	21.6943	−	25.7655i	0.784872	−	0.932162i
$765$	−25.0517	+	11.3508i	−0.905748	+	0.410389i
$766$	8.38925	+	18.0307i	0.303116	+	0.651475i
$767$	14.1720			0.511722
$768$	26.7780	−	7.13716i	0.966268	−	0.257540i
$769$	−3.39340			−0.122369			−0.0611845	−	0.998126i	$-0.519488\pi$
$769$	−3.39340			−0.122369			−0.0611845	+	0.998126i	$0.519488\pi$
$770$	−0.460498	−	0.989729i	−0.0165952	−	0.0356674i
$771$	−1.70806	+	20.8312i	−0.0615144	+	0.750219i
$772$	14.1972	−	16.8615i	0.510968	−	0.606857i
$773$	2.31520	−	11.6393i	0.0832719	−	0.418636i	−0.916553	−	0.399914i	$-0.869040\pi$
$773$	2.31520	−	11.6393i	0.0832719	−	0.418636i	0.999825	−	0.0187226i	$-0.00595993\pi$
$774$	−8.88313	+	10.3372i	−0.319297	+	0.371564i
$775$	24.2213	+	10.0328i	0.870054	+	0.360388i
$776$	0.377978	−	1.39642i	0.0135686	−	0.0501287i
$777$	16.5952	−	20.9097i	0.595348	−	0.750133i
$778$	11.0499	−	2.69397i	0.396158	−	0.0965836i
$779$	−1.28804	−	1.92768i	−0.0461487	−	0.0690664i
$780$	4.60777	+	4.57325i	0.164985	+	0.163749i
$781$	2.02432	−	0.402662i	0.0724359	−	0.0144084i
$782$	2.78599	+	65.0749i	0.0996270	+	2.32707i
$783$	−9.99544	−	11.0283i	−0.357208	−	0.394118i
$784$	−8.57777	+	12.1624i	−0.306349	+	0.434371i
$785$	13.7171	+	13.7171i	0.489584	+	0.489584i
$786$	7.72649	−	32.2177i	0.275595	−	1.14917i
$787$	−33.6448	+	6.69236i	−1.19931	+	0.238557i	−0.754032	−	0.656838i	$-0.771894\pi$
$787$	−33.6448	+	6.69236i	−1.19931	+	0.238557i	−0.445274	+	0.895394i	$0.646894\pi$
$788$	−3.98081	−	4.97724i	−0.141810	−	0.177307i
$789$	13.6452	−	26.5649i	0.485782	−	0.945737i
$790$	6.29098	−	10.3474i	0.223823	−	0.368145i
$791$	0.905621	−	0.375121i	0.0322002	−	0.0133378i
$792$	−0.479437	−	2.95055i	−0.0170360	−	0.104843i
$793$	−19.0370	−	7.88539i	−0.676024	−	0.280018i
$794$	−12.8140	−	17.5072i	−0.454754	−	0.621309i
$795$	0.108958	+	0.339111i	0.00386435	+	0.0120270i
$796$	9.98629	−	5.17704i	0.353955	−	0.183495i
$797$	−34.9964	−	23.3838i	−1.23964	−	0.828298i	−0.249495	−	0.968376i	$-0.580265\pi$
$797$	−34.9964	−	23.3838i	−1.23964	−	0.828298i	−0.990140	+	0.140078i	$0.955265\pi$
$798$	0.318844	+	2.00993i	0.0112870	+	0.0711509i
$799$	−9.28688			−0.328546
$800$	−19.5467	+	4.24660i	−0.691078	+	0.150140i
$801$	16.6064	−	26.7052i	0.586757	−	0.943582i
$802$	4.27869	−	11.7247i	0.151086	−	0.414013i
$803$	−3.11249	+	4.65817i	−0.109837	+	0.164383i
$804$	3.47559	+	17.1360i	0.122575	+	0.604341i
$805$	2.59835	−	13.0628i	0.0915800	−	0.460404i
$806$	−9.59213	−	13.1053i	−0.337868	−	0.461614i
$807$	1.06281	+	9.23857i	0.0374128	+	0.325213i
$808$	32.3535	+	16.0573i	1.13819	+	0.564895i
$809$	20.2858	+	48.9743i	0.713212	+	1.72185i	0.691814	+	0.722075i	$0.256812\pi$
$809$	20.2858	+	48.9743i	0.713212	+	1.72185i	0.0213976	+	0.999771i	$0.493188\pi$
$810$	15.3405	+	1.35522i	0.539011	+	0.0476174i
$811$	−6.04781	−	9.05118i	−0.212367	−	0.317830i	0.709958	−	0.704244i	$-0.248714\pi$
$811$	−6.04781	−	9.05118i	−0.212367	−	0.317830i	−0.922326	+	0.386414i	$0.873714\pi$
$812$	−10.3106	−	1.14688i	−0.361831	−	0.0402475i
$813$	−20.5092	+	17.4007i	−0.719287	+	0.610270i
$814$	−3.12379	−	2.86730i	−0.109489	−	0.100499i
$815$	−14.4475	+	14.4475i	−0.506075	+	0.506075i
$816$	−33.6596	+	40.2827i	−1.17832	+	1.41018i
$817$	−1.04220	−	1.04220i	−0.0364618	−	0.0364618i
$818$	1.09583	+	25.5962i	0.0383147	+	0.894950i
$819$	7.87516	+	2.96400i	0.275180	+	0.103571i
$820$	−5.89996	+	10.7111i	−0.206036	+	0.374049i
$821$	−25.8554	+	17.2760i	−0.902359	+	0.602937i	−0.917843	−	0.396943i	$-0.870071\pi$
$821$	−25.8554	+	17.2760i	−0.902359	+	0.602937i	0.0154846	+	0.999880i	$0.495071\pi$
$822$	−12.2499	−	13.2454i	−0.427266	−	0.461988i
$823$	−1.55374	+	0.643579i	−0.0541598	+	0.0224337i	−0.409599	−	0.912266i	$-0.634331\pi$
$823$	−1.55374	+	0.643579i	−0.0541598	+	0.0224337i	0.355439	+	0.934699i	$0.384331\pi$
$824$	−19.4420	+	25.2044i	−0.677293	+	0.878035i
$825$	0.246584	+	2.14345i	0.00858495	+	0.0746253i
$826$	3.58424	−	23.1567i	0.124712	−	0.805725i
$827$	−2.28456	−	0.454428i	−0.0794420	−	0.0158020i	0.155209	−	0.987882i	$-0.450395\pi$
$827$	−2.28456	−	0.454428i	−0.0794420	−	0.0158020i	−0.234651	+	0.972080i	$0.575395\pi$
$828$	16.5419	−	32.5045i	0.574872	−	1.12961i
$829$	11.9451	+	7.98144i	0.414870	+	0.277207i	0.745438	−	0.666575i	$-0.232240\pi$
$829$	11.9451	+	7.98144i	0.414870	+	0.277207i	−0.330568	+	0.943782i	$0.607240\pi$
$830$	−6.08135	−	13.0704i	−0.211087	−	0.453680i
$831$	30.1727	−	16.7680i	1.04668	−	0.581677i
$832$	11.7130	+	4.04256i	0.406077	+	0.140151i
$833$		−	28.1917i		−	0.976784i
$834$	−14.8374	−	10.7745i	−0.513777	−	0.373089i
$835$	2.12861	−	3.18569i	0.0736636	−	0.110245i
$836$	0.322068	−	0.0276275i	0.0111390	−	0.000955516i
$837$	−37.3712	−	9.36100i	−1.29174	−	0.323564i
$838$	49.5468	+	7.66896i	1.71157	+	0.264920i
$839$	−3.17277	+	7.65974i	−0.109536	+	0.264443i	−0.969137	−	0.246522i	$-0.920712\pi$
$839$	−3.17277	+	7.65974i	−0.109536	+	0.264443i	0.859601	+	0.510966i	$0.170712\pi$
$840$	8.63792	−	6.37235i	0.298036	−	0.219867i
$841$	−7.95796	−	19.2122i	−0.274412	−	0.662490i
$842$	15.6893	−	3.82506i	0.540688	−	0.131820i
$843$	1.68274	−	3.27602i	0.0579567	−	0.112832i
$844$	1.74690	−	3.17142i	0.0601307	−	0.109165i
$845$	−2.50237	−	12.5803i	−0.0860843	−	0.432775i
$846$	4.52937	+	2.55462i	0.155723	+	0.0878296i
$847$	13.9264	−	13.9264i	0.478516	−	0.478516i
$848$	0.468450	+	0.492681i	0.0160866	+	0.0169187i
$849$	−45.8647	−	13.0973i	−1.57407	−	0.449500i
$850$	25.6215	−	27.9134i	0.878810	−	0.957423i
$851$	−10.0930	−	50.7407i	−0.345982	−	1.73937i
$852$	7.83721	+	18.7213i	0.268499	+	0.641382i
$853$	12.0538	−	8.05408i	0.412714	−	0.275767i	−0.331831	−	0.943339i	$-0.607666\pi$
$853$	12.0538	−	8.05408i	0.412714	−	0.275767i	0.744545	+	0.667572i	$0.232666\pi$
$854$	−17.6992	+	29.1117i	−0.605653	+	0.996181i
$855$	−0.271278	+	1.64311i	−0.00927753	+	0.0561932i
$856$	42.0493	−	14.1547i	1.43722	−	0.483799i
$857$	8.63427	−	20.8450i	0.294941	−	0.712051i	−0.705055	−	0.709153i	$-0.749078\pi$
$857$	8.63427	−	20.8450i	0.294941	−	0.712051i	0.999996	−	0.00289804i	$-0.000922475\pi$
$858$	0.559268	−	1.21392i	0.0190931	−	0.0414427i
$859$	−19.5472	−	3.88817i	−0.666940	−	0.132663i	−0.150003	−	0.988686i	$-0.547928\pi$
$859$	−19.5472	−	3.88817i	−0.666940	−	0.132663i	−0.516938	+	0.856023i	$0.672928\pi$
$860$	−2.35028	+	7.41033i	−0.0801439	+	0.252690i
$861$	−1.29526	+	15.7968i	−0.0441424	+	0.538353i
$862$	10.2515	+	3.74107i	0.349166	+	0.127421i
$863$		−	29.2836i		−	0.996825i	−0.866940	−	0.498412i	$-0.833917\pi$
$863$		−	29.2836i		−	0.996825i	0.866940	−	0.498412i	$-0.166083\pi$
$864$	27.4973	−	10.3875i	0.935476	−	0.353390i
$865$		−	28.0266i		−	0.952933i
$866$	4.59619	−	12.5947i	0.156185	−	0.427986i
$867$	5.71979	−	69.7575i	0.194254	−	2.36909i
$868$	−23.8396	+	12.3588i	−0.809170	+	0.419486i
$869$	−2.44522	−	0.486385i	−0.0829485	−	0.0164995i
$870$	−7.71055	−	3.55233i	−0.261412	−	0.120435i
$871$	−2.99179	+	7.22281i	−0.101373	+	0.244736i
$872$	−1.45613	+	21.3833i	−0.0493107	+	0.724129i
$873$	0.249952	−	1.51394i	0.00845958	−	0.0512390i
$874$	3.37001	+	2.04888i	0.113992	+	0.0693044i
$875$	−15.5511	+	10.3909i	−0.525722	+	0.351276i
$876$	−50.9745	−	20.8901i	−1.72227	−	0.705813i
$877$	1.86036	+	9.35264i	0.0628198	+	0.315816i	0.999400	−	0.0346371i	$-0.0110275\pi$
$877$	1.86036	+	9.35264i	0.0628198	+	0.315816i	−0.936580	+	0.350453i	$0.886028\pi$
$878$	1.85811	+	1.70554i	0.0627082	+	0.0575593i
$879$	−37.0701	−	10.5859i	−1.25034	−	0.357055i
$880$	−0.911220	−	1.44108i	−0.0307172	−	0.0485789i
$881$	20.3432	−	20.3432i	0.685378	−	0.685378i	−0.275828	−	0.961207i	$-0.588952\pi$
$881$	20.3432	−	20.3432i	0.685378	−	0.685378i	0.961207	+	0.275828i	$0.0889522\pi$
$882$	−7.75492	+	13.7496i	−0.261122	+	0.462972i
$883$	−1.34107	−	6.74202i	−0.0451306	−	0.226887i	0.951637	−	0.307224i	$-0.0994002\pi$
$883$	−1.34107	−	6.74202i	−0.0451306	−	0.226887i	−0.996768	+	0.0803374i	$0.974400\pi$
$884$	−22.5449	+	6.52980i	−0.758266	+	0.219621i
$885$	8.76134	−	17.0569i	0.294509	−	0.573361i
$886$	8.23902	+	33.7941i	0.276795	+	1.13533i
$887$	−5.52752	−	13.3446i	−0.185596	−	0.448068i	0.803507	−	0.595296i	$-0.202965\pi$
$887$	−5.52752	−	13.3446i	−0.185596	−	0.448068i	−0.989103	+	0.147227i	$0.952965\pi$
$888$	21.5264	−	35.7084i	0.722378	−	1.19830i
$889$	−14.1283	+	34.1088i	−0.473849	+	1.14397i
$890$	2.74365	−	17.7259i	0.0919674	−	0.594174i
$891$	−0.820605	−	3.06254i	−0.0274913	−	0.102599i
$892$	−15.1526	+	17.9962i	−0.507348	+	0.602557i
$893$	−0.312414	+	0.467561i	−0.0104545	+	0.0156463i
$894$	5.63195	−	7.75568i	0.188360	−	0.259389i
$895$			22.8248i			0.762949i
$896$	9.56778	−	18.1164i	0.319637	−	0.605226i
$897$	14.2540	−	7.92148i	0.475928	−	0.264491i
$898$	−21.3632	+	9.93981i	−0.712900	+	0.331696i
$899$	17.6584	+	11.7990i	0.588941	+	0.393518i
$900$	−20.1744	+	6.56593i	−0.672480	+	0.218864i
$901$	−1.26302	−	0.251231i	−0.0420774	−	0.00836972i
$902$	2.48796	+	0.385092i	0.0828401	+	0.0128222i
$903$	1.15158	+	10.0102i	0.0383223	+	0.333119i
$904$	1.32787	−	0.762150i	0.0441641	−	0.0253487i
$905$	1.16181	−	0.481237i	0.0386198	−	0.0159969i
$906$	24.7979	−	22.9341i	0.823854	−	0.761935i
$907$	37.4759	−	25.0406i	1.24437	−	0.831460i	0.253637	−	0.967299i	$-0.418373\pi$
$907$	37.4759	−	25.0406i	1.24437	−	0.831460i	0.990731	+	0.135839i	$0.0433731\pi$
$908$	1.26369	+	4.36302i	0.0419369	+	0.144792i
$909$	35.8546	+	13.4947i	1.18922	+	0.447591i
$910$	4.79506	−	0.205287i	0.158955	−	0.00680519i
$911$	19.2026	+	19.2026i	0.636209	+	0.636209i	0.949618	−	0.313409i	$-0.101471\pi$
$911$	19.2026	+	19.2026i	0.636209	+	0.636209i	−0.313409	+	0.949618i	$0.601471\pi$
$912$	0.895764	+	3.04977i	0.0296617	+	0.100988i
$913$	−2.09863	+	2.09863i	−0.0694545	+	0.0694545i
$914$	−4.72279	+	5.14526i	−0.156216	+	0.170190i
$915$	−21.2595	+	18.0373i	−0.702817	+	0.596296i
$916$	29.5338	+	36.9264i	0.975826	+	1.22008i
$917$	−13.6079	−	20.3656i	−0.449371	−	0.672532i
$918$	−31.2246	+	46.0994i	−1.03056	+	1.52151i
$919$	−12.2608	−	29.6001i	−0.404445	−	0.976417i	−0.986573	−	0.163320i	$-0.947780\pi$
$919$	−12.2608	−	29.6001i	−0.404445	−	0.976417i	0.582128	−	0.813097i	$-0.302220\pi$
$920$	1.41332	−	20.7546i	0.0465957	−	0.684259i
$921$	1.32175	+	11.4894i	0.0435530	+	0.378587i
$922$	15.3850	−	11.2607i	0.506677	−	0.370851i
$923$	−1.77037	+	8.90024i	−0.0582724	+	0.292955i
$924$	−1.84207	−	1.22084i	−0.0605998	−	0.0401627i
$925$	−16.7198	+	25.0229i	−0.549742	+	0.822747i
$926$	56.9475	+	20.7819i	1.87141	+	0.682934i
$927$	−17.8289	+	28.6712i	−0.585577	+	0.941685i
$928$	−16.2011	+	0.284851i	−0.531826	+	0.00935069i
$929$	−8.06603			−0.264638			−0.132319	−	0.991207i	$-0.542242\pi$
$929$	−8.06603			−0.264638			−0.132319	+	0.991207i	$0.542242\pi$
$930$	−21.7030	+	3.44284i	−0.711669	+	0.112895i
$931$	−1.41935	−	0.948379i	−0.0465173	−	0.0310819i
$932$	36.7990	+	11.6713i	1.20539	+	0.382306i
$933$	11.9912	+	37.3203i	0.392575	+	1.22181i
$934$	3.32217	−	2.43159i	0.108705	−	0.0795642i
$935$	2.98383	+	1.23594i	0.0975816	+	0.0404196i
$936$	12.7917	+	3.01691i	0.418110	+	0.0986108i
$937$	12.8079	−	5.30519i	0.418414	−	0.173313i	−0.163536	−	0.986537i	$-0.552290\pi$
$937$	12.8079	−	5.30519i	0.418414	−	0.173313i	0.581950	+	0.813224i	$0.302290\pi$
$938$	11.0452	+	6.71522i	0.360640	+	0.219260i
$939$	0.388084	−	0.755535i	0.0126646	−	0.0246560i
$940$	2.94787	+	0.327900i	0.0961488	+	0.0106949i
$941$	−25.8090	+	5.13374i	−0.841351	+	0.167355i	−0.596909	−	0.802309i	$-0.703605\pi$
$941$	−25.8090	+	5.13374i	−0.841351	+	0.167355i	−0.244442	+	0.969664i	$0.578605\pi$
$942$	38.1890	+	9.15853i	1.24427	+	0.298401i
$943$	21.7202	+	21.7202i	0.707306	+	0.707306i
$944$	0.922412	−	36.5878i	0.0300219	−	1.19083i
$945$	8.43588	−	7.64584i	0.274419	−	0.248719i
$946$	1.59905	−	0.0684588i	0.0519896	−	0.00222579i
$947$	−25.2874	+	5.02997i	−0.821729	+	0.163452i	−0.588011	−	0.808853i	$-0.700089\pi$
$947$	−25.2874	+	5.02997i	−0.821729	+	0.163452i	−0.233717	+	0.972305i	$0.575089\pi$
$948$	−0.0921713	−	24.5153i	−0.00299358	−	0.796219i
$949$	−13.6846	−	20.4804i	−0.444219	−	0.664821i
$950$	−0.543424	−	2.22897i	−0.0176310	−	0.0723173i
$951$	−4.82401	+	6.07821i	−0.156429	+	0.197100i
$952$	4.96770	+	38.4892i	0.161004	+	1.24744i
$953$	−6.47370	−	2.68149i	−0.209704	−	0.0868621i	0.275359	−	0.961341i	$-0.411203\pi$
$953$	−6.47370	−	2.68149i	−0.209704	−	0.0868621i	−0.485063	+	0.874479i	$0.661203\pi$
$954$	0.546890	+	0.469960i	0.0177062	+	0.0152155i
$955$	3.97538	−	19.9856i	0.128640	−	0.646719i
$956$	4.06906	+	47.4352i	0.131603	+	1.53416i
$957$	−0.142832	+	1.74195i	−0.00461710	+	0.0563093i
$958$	42.6005	−	19.8210i	1.37636	−	0.640388i
$959$	−13.3380			−0.430706
$960$	12.1066	−	11.5982i	0.390740	−	0.374330i
$961$	23.9718			0.773283
$962$	16.9028	−	7.86447i	0.544968	−	0.253561i
$963$	42.8645	−	19.4217i	1.38129	−	0.625854i
$964$	−21.2881	+	1.82613i	−0.685645	+	0.0588156i
$965$	2.60157	−	13.0790i	0.0837476	−	0.421028i
$966$	−9.33850	−	25.2941i	−0.300461	−	0.813826i
$967$	51.4584	+	21.3148i	1.65479	+	0.685437i	0.997662	−	0.0683407i	$-0.0217705\pi$
$967$	51.4584	+	21.3148i	1.65479	+	0.685437i	0.657129	+	0.753778i	$0.271771\pi$
$968$	18.7885	−	24.3572i	0.603885	−	0.782870i
$969$	−4.71616	−	3.74301i	−0.151505	−	0.120243i
$970$	−0.207304	−	0.850303i	−0.00665615	−	0.0273016i
$971$	13.5697	+	20.3084i	0.435471	+	0.651728i	0.982689	−	0.185262i	$-0.0593133\pi$
$971$	13.5697	+	20.3084i	0.435471	+	0.651728i	−0.547218	+	0.836990i	$0.684313\pi$
$972$	27.9097	−	13.8942i	0.895203	−	0.445658i
$973$	−13.2957	+	2.64467i	−0.426239	+	0.0847842i
$974$	−4.17556	+	0.178765i	−0.133794	+	0.00572799i
$975$	−9.12152	−	2.60479i	−0.292123	−	0.0834200i
$976$	−21.5967	+	48.6345i	−0.691294	+	1.55675i
$977$	12.7218	+	12.7218i	0.407006	+	0.407006i	0.880693	−	0.473687i	$-0.157077\pi$
$977$	12.7218	+	12.7218i	0.407006	+	0.407006i	−0.473687	+	0.880693i	$0.657077\pi$
$978$	−9.64623	+	40.2226i	−0.308452	+	1.28618i
$979$	−3.62187	+	0.720434i	−0.115755	+	0.0230252i
$980$	−0.995388	+	8.94868i	−0.0317965	+	0.285855i
$981$	0.743803	+	22.7207i	0.0237478	+	0.725417i
$982$	−16.4961	−	10.0292i	−0.526412	−	0.320045i
$983$	12.7626	−	5.28643i	0.407063	−	0.168611i	−0.169750	−	0.985487i	$-0.554296\pi$
$983$	12.7626	−	5.28643i	0.407063	−	0.168611i	0.576813	+	0.816876i	$0.304296\pi$
$984$	1.15187	+	24.7292i	0.0367203	+	0.788337i
$985$	−3.56225	−	1.47553i	−0.113503	−	0.0470144i
$986$	24.7678	−	18.1283i	0.788767	−	0.577321i
$987$	3.66009	−	1.17601i	0.116502	−	0.0374327i
$988$	−0.429666	+	1.35472i	−0.0136695	+	0.0430993i
$989$	16.2368	+	10.8491i	0.516299	+	0.344980i
$990$	−1.11528	−	1.42358i	−0.0354460	−	0.0452442i
$991$	−35.2333			−1.11922			−0.559611	−	0.828755i	$-0.689050\pi$
$991$	−35.2333			−1.11922			−0.559611	+	0.828755i	$0.689050\pi$
$992$	−34.4581	+	23.9110i	−1.09405	+	0.759173i
$993$	8.61072	−	4.78528i	0.273253	−	0.151856i
$994$	14.0950	+	5.14369i	0.447067	+	0.163148i
$995$	3.78070	−	5.65822i	0.119856	−	0.179378i
$996$	−24.3265	−	16.1225i	−0.770815	−	0.510860i
$997$	−7.77599	+	39.0925i	−0.246268	+	1.23807i	0.637612	+	0.770358i	$0.279922\pi$
$997$	−7.77599	+	39.0925i	−0.246268	+	1.23807i	−0.883880	+	0.467715i	$0.845078\pi$
$998$	40.9334	−	29.9603i	1.29572	−	0.948377i
$999$	18.9083	−	39.9783i	0.598233	−	1.26486i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.59.11	✓	240
3.2	odd	2	inner	192.2.s.a.59.20	yes	240
4.3	odd	2		768.2.s.a.143.30		240
12.11	even	2		768.2.s.a.143.10		240
64.13	even	16		768.2.s.a.623.10		240
64.51	odd	16	inner	192.2.s.a.179.20	yes	240
192.77	odd	16		768.2.s.a.623.30		240
192.179	even	16	inner	192.2.s.a.179.11	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.59.11	✓	240	1.1	even	1	trivial
192.2.s.a.59.20	yes	240	3.2	odd	2	inner
192.2.s.a.179.11	yes	240	192.179	even	16	inner
192.2.s.a.179.20	yes	240	64.51	odd	16	inner
768.2.s.a.143.10		240	12.11	even	2
768.2.s.a.143.30		240	4.3	odd	2
768.2.s.a.623.10		240	64.13	even	16
768.2.s.a.623.30		240	192.77	odd	16

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.596586 - 1.28222i) q^{2} +(-1.72626 - 0.141545i) q^{3} +(-1.28817 + 1.52991i) q^{4} +(-0.236051 + 1.18671i) q^{5} +(0.848370 + 2.29788i) q^{6} +(1.67303 + 0.692992i) q^{7} +(2.73018 + 0.738993i) q^{8} +(2.95993 + 0.488686i) q^{9} +O(q^{10})\)	\(q+(-0.596586 - 1.28222i) q^{2} +(-1.72626 - 0.141545i) q^{3} +(-1.28817 + 1.52991i) q^{4} +(-0.236051 + 1.18671i) q^{5} +(0.848370 + 2.29788i) q^{6} +(1.67303 + 0.692992i) q^{7} +(2.73018 + 0.738993i) q^{8} +(2.95993 + 0.488686i) q^{9} +(1.66245 - 0.405306i) q^{10} +(-0.195719 - 0.292915i) q^{11} +(2.44026 - 2.45868i) q^{12} +(1.51912 - 0.302171i) q^{13} +(-0.109540 - 2.55862i) q^{14} +(0.575458 - 2.01516i) q^{15} +(-0.681239 - 3.94156i) q^{16} +(5.35769 + 5.35769i) q^{17} +(-1.13925 - 4.08682i) q^{18} +(0.449975 - 0.0895056i) q^{19} +(-1.51148 - 1.88982i) q^{20} +(-2.78999 - 1.43309i) q^{21} +(-0.258817 + 0.425704i) q^{22} +(-5.61589 + 2.32618i) q^{23} +(-4.60840 - 1.66213i) q^{24} +(3.26684 + 1.35317i) q^{25} +(-1.29373 - 1.76757i) q^{26} +(-5.04043 - 1.26256i) q^{27} +(-3.21536 + 1.66689i) q^{28} +(2.38167 + 1.59138i) q^{29} +(-2.92718 + 0.464351i) q^{30} +7.41430 q^{31} +(-4.64753 + 3.22498i) q^{32} +(0.296402 + 0.533350i) q^{33} +(3.67341 - 10.0661i) q^{34} +(-1.21730 + 1.82182i) q^{35} +(-4.56054 + 3.89891i) q^{36} +(-1.66041 + 8.34743i) q^{37} +(-0.383215 - 0.523569i) q^{38} +(-2.66516 + 0.306602i) q^{39} +(-1.52143 + 3.06549i) q^{40} +(-1.93381 - 4.66864i) q^{41} +(-0.173066 + 4.43234i) q^{42} +(-1.78480 - 2.67114i) q^{43} +(0.700253 + 0.0778912i) q^{44} +(-1.27862 + 3.39722i) q^{45} +(6.33304 + 5.81304i) q^{46} +(-0.866687 + 0.866687i) q^{47} +(0.618085 + 6.90058i) q^{48} +(-2.63096 - 2.63096i) q^{49} +(-0.213893 - 4.99608i) q^{50} +(-8.49040 - 10.0071i) q^{51} +(-1.49459 + 2.71336i) q^{52} +(-0.141316 + 0.0944244i) q^{53} +(1.38817 + 7.21616i) q^{54} +(0.393805 - 0.163119i) q^{55} +(4.05556 + 3.12835i) q^{56} +(-0.789442 + 0.0908180i) q^{57} +(0.619627 - 4.00322i) q^{58} +(8.97405 + 1.78505i) q^{59} +(2.34172 + 3.47626i) q^{60} +(-11.0615 - 7.39103i) q^{61} +(-4.42327 - 9.50675i) q^{62} +(4.61340 + 2.86879i) q^{63} +(6.90778 + 4.03517i) q^{64} +1.87408i q^{65} +(0.507042 - 0.698241i) q^{66} +(-2.80422 + 4.19682i) q^{67} +(-15.0984 + 1.29516i) q^{68} +(10.0237 - 3.22068i) q^{69} +(3.06220 + 0.473973i) q^{70} +(-2.24207 + 5.41285i) q^{71} +(7.72001 + 3.52157i) q^{72} +(-6.08575 - 14.6923i) q^{73} +(11.6938 - 2.85096i) q^{74} +(-5.44787 - 2.79832i) q^{75} +(-0.442709 + 0.803719i) q^{76} +(-0.124457 - 0.625687i) q^{77} +(1.98313 + 3.23440i) q^{78} +(5.00420 - 5.00420i) q^{79} +(4.83830 + 0.121978i) q^{80} +(8.52237 + 2.89295i) q^{81} +(-4.83253 + 5.26481i) q^{82} +(-1.64358 - 8.26285i) q^{83} +(5.78648 - 2.42237i) q^{84} +(-7.62272 + 5.09334i) q^{85} +(-2.36020 + 3.88206i) q^{86} +(-3.88613 - 3.08425i) q^{87} +(-0.317888 - 0.944346i) q^{88} +(4.01147 - 9.68454i) q^{89} +(5.11879 - 0.387262i) q^{90} +(2.75093 + 0.547194i) q^{91} +(3.67538 - 11.5883i) q^{92} +(-12.7990 - 1.04946i) q^{93} +(1.62834 + 0.594228i) q^{94} +0.555118i q^{95} +(8.47931 - 4.90931i) q^{96} -0.511477i q^{97} +(-1.80387 + 4.94305i) q^{98} +(-0.436173 - 0.962653i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

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