LMFDB - Embedded newform 192.2.s.a.179.20

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			179.20
Character	$\chi$	$=$	192.179
Dual form			192.2.s.a.59.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.596586 - 1.28222i) q^{2} +(0.791381 - 1.54069i) q^{3} +(-1.28817 - 1.52991i) q^{4} +(0.236051 + 1.18671i) q^{5} +(-1.50337 - 1.93388i) q^{6} +(1.67303 - 0.692992i) q^{7} +(-2.73018 + 0.738993i) q^{8} +(-1.74743 - 2.43854i) q^{9} +O(q^{10})$	\(q+(0.596586 - 1.28222i) q^{2} +(0.791381 - 1.54069i) q^{3} +(-1.28817 - 1.52991i) q^{4} +(0.236051 + 1.18671i) q^{5} +(-1.50337 - 1.93388i) q^{6} +(1.67303 - 0.692992i) q^{7} +(-2.73018 + 0.738993i) q^{8} +(-1.74743 - 2.43854i) q^{9} +(1.66245 + 0.405306i) q^{10} +(0.195719 - 0.292915i) q^{11} +(-3.37654 + 0.773926i) q^{12} +(1.51912 + 0.302171i) q^{13} +(0.109540 - 2.55862i) q^{14} +(2.01516 + 0.575458i) q^{15} +(-0.681239 + 3.94156i) q^{16} +(-5.35769 + 5.35769i) q^{17} +(-4.16924 + 0.785792i) q^{18} +(0.449975 + 0.0895056i) q^{19} +(1.51148 - 1.88982i) q^{20} +(0.256320 - 3.12604i) q^{21} +(-0.258817 - 0.425704i) q^{22} +(5.61589 + 2.32618i) q^{23} +(-1.02206 + 4.79118i) q^{24} +(3.26684 - 1.35317i) q^{25} +(1.29373 - 1.76757i) q^{26} +(-5.13991 + 0.762435i) q^{27} +(-3.21536 - 1.66689i) q^{28} +(-2.38167 + 1.59138i) q^{29} +(1.94008 - 2.24056i) 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} +(-1.47975 + 5.81467i) q^{36} +(-1.66041 - 8.34743i) q^{37} +(0.383215 - 0.523569i) q^{38} +(1.66775 - 2.10135i) q^{39} +(-1.52143 - 3.06549i) q^{40} +(1.93381 - 4.66864i) q^{41} +(-3.85534 - 2.19361i) q^{42} +(-1.78480 + 2.67114i) q^{43} +(-0.700253 + 0.0778912i) q^{44} +(2.48136 - 2.64932i) q^{45} +(6.33304 - 5.81304i) q^{46} +(0.866687 + 0.866687i) q^{47} +(5.53359 + 4.16885i) q^{48} +(-2.63096 + 2.63096i) q^{49} +(0.213893 - 4.99608i) q^{50} +(4.01455 + 12.4945i) q^{51} +(-1.49459 - 2.71336i) q^{52} +(0.141316 + 0.0944244i) q^{53} +(-2.08879 + 7.04535i) q^{54} +(0.393805 + 0.163119i) q^{55} +(-4.05556 + 3.12835i) q^{56} +(0.494002 - 0.622438i) q^{57} +(0.619627 + 4.00322i) q^{58} +(-8.97405 + 1.78505i) q^{59} +(-1.71546 - 3.82429i) 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} +(-0.860700 + 0.0618625i) q^{66} +(-2.80422 - 4.19682i) q^{67} +(15.0984 + 1.29516i) q^{68} +(8.02822 - 6.81144i) q^{69} +(3.06220 - 0.473973i) q^{70} +(2.24207 + 5.41285i) q^{71} +(6.57287 + 5.36632i) q^{72} +(-6.08575 + 14.6923i) q^{73} +(-11.6938 - 2.85096i) q^{74} +(0.500503 - 6.10404i) q^{75} +(-0.442709 - 0.803719i) q^{76} +(0.124457 - 0.625687i) q^{77} +(-1.69944 - 3.39206i) q^{78} +(5.00420 + 5.00420i) q^{79} +(-4.83830 + 0.121978i) q^{80} +(-2.89295 + 8.52237i) q^{81} +(-4.83253 - 5.26481i) q^{82} +(1.64358 - 8.26285i) q^{83} +(-5.11273 + 3.63472i) q^{84} +(-7.62272 - 5.09334i) q^{85} +(2.36020 + 3.88206i) q^{86} +(0.567013 + 4.92880i) q^{87} +(-0.317888 + 0.944346i) q^{88} +(-4.01147 - 9.68454i) q^{89} +(-1.91666 - 4.76219i) q^{90} +(2.75093 - 0.547194i) q^{91} +(-3.67538 - 11.5883i) q^{92} +(5.86753 - 11.4231i) q^{93} +(1.62834 - 0.594228i) q^{94} +0.555118i q^{95} +(8.64665 - 4.60820i) q^{96} +0.511477i q^{97} +(1.80387 + 4.94305i) q^{98} +(-1.05629 + 0.0345795i) 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 $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{15}{16}\right)$

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
$3$	0.791381	−	1.54069i	0.456904	−	0.889516i
$3$	0.791381	−	1.54069i	0.456904	−	0.889516i
$4$	−1.28817	−	1.52991i	−0.644085	−	0.764954i
$5$	0.236051	+	1.18671i	0.105565	+	0.530713i	0.996989	+	0.0775422i	$0.0247072\pi$
$5$	0.236051	+	1.18671i	0.105565	+	0.530713i	−0.891424	+	0.453171i	$0.850293\pi$
$6$	−1.50337	−	1.93388i	−0.613749	−	0.789502i
$7$	1.67303	−	0.692992i	0.632346	−	0.261926i	−0.0434036	−	0.999058i	$-0.513820\pi$
$7$	1.67303	−	0.692992i	0.632346	−	0.261926i	0.675749	+	0.737131i	$0.263820\pi$
$8$	−2.73018	+	0.738993i	−0.965265	+	0.261273i
$9$	−1.74743	−	2.43854i	−0.582478	−	0.812847i
$10$	1.66245	+	0.405306i	0.525712	+	0.128169i
$11$	0.195719	−	0.292915i	0.0590116	−	0.0883172i	−0.800790	−	0.598945i	$-0.795587\pi$
$11$	0.195719	−	0.292915i	0.0590116	−	0.0883172i	0.859802	+	0.510628i	$0.170587\pi$
$12$	−3.37654	+	0.773926i	−0.974724	+	0.223413i
$13$	1.51912	+	0.302171i	0.421327	+	0.0838072i	0.401201	−	0.915990i	$-0.368593\pi$
$13$	1.51912	+	0.302171i	0.421327	+	0.0838072i	0.0201268	+	0.999797i	$0.493593\pi$
$14$	0.109540	−	2.55862i	0.0292758	−	0.683820i
$15$	2.01516	+	0.575458i	0.520311	+	0.148583i
$16$	−0.681239	+	3.94156i	−0.170310	+	0.985391i
$17$	−5.35769	+	5.35769i	−1.29943	+	1.29943i	−0.370664	+	0.928767i	$0.620870\pi$
$17$	−5.35769	+	5.35769i	−1.29943	+	1.29943i	−0.928767	+	0.370664i	$0.879130\pi$
$18$	−4.16924	+	0.785792i	−0.982698	+	0.185213i
$19$	0.449975	+	0.0895056i	0.103231	+	0.0205340i	0.246436	−	0.969159i	$-0.420741\pi$
$19$	0.449975	+	0.0895056i	0.103231	+	0.0205340i	−0.143204	+	0.989693i	$0.545741\pi$
$20$	1.51148	−	1.88982i	0.337978	−	0.422577i
$21$	0.256320	−	3.12604i	0.0559336	−	0.682157i
$22$	−0.258817	−	0.425704i	−0.0551801	−	0.0907604i
$23$	5.61589	+	2.32618i	1.17099	+	0.485042i	0.881521	−	0.472144i	$-0.156520\pi$
$23$	5.61589	+	2.32618i	1.17099	+	0.485042i	0.289473	+	0.957186i	$0.406520\pi$
$24$	−1.02206	+	4.79118i	−0.208626	+	0.977995i
$25$	3.26684	−	1.35317i	0.653367	−	0.270634i
$26$	1.29373	−	1.76757i	0.253722	−	0.346649i
$27$	−5.13991	+	0.762435i	−0.989176	+	0.146731i
$28$	−3.21536	−	1.66689i	−0.607646	−	0.315013i
$29$	−2.38167	+	1.59138i	−0.442265	+	0.295512i	−0.756694	−	0.653769i	$-0.773187\pi$
$29$	−2.38167	+	1.59138i	−0.442265	+	0.295512i	0.314429	+	0.949281i	$0.398187\pi$
$30$	1.94008	−	2.24056i	0.354208	−	0.409068i
$31$	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
$36$	−1.47975	+	5.81467i	−0.246625	+	0.969111i
$37$	−1.66041	−	8.34743i	−0.272969	−	1.37231i	−0.837292	−	0.546755i	$-0.815863\pi$
$37$	−1.66041	−	8.34743i	−0.272969	−	1.37231i	0.564323	−	0.825554i	$-0.309137\pi$
$38$	0.383215	−	0.523569i	0.0621657	−	0.0849341i
$39$	1.66775	−	2.10135i	0.267054	−	0.336486i
$40$	−1.52143	−	3.06549i	−0.240560	−	0.484697i
$41$	1.93381	−	4.66864i	0.302011	−	0.729118i	−0.697906	−	0.716190i	$-0.745885\pi$
$41$	1.93381	−	4.66864i	0.302011	−	0.729118i	0.999916	−	0.0129287i	$-0.00411546\pi$
$42$	−3.85534	−	2.19361i	−0.594893	−	0.338481i
$43$	−1.78480	+	2.67114i	−0.272179	+	0.407345i	−0.942228	−	0.334972i	$-0.891273\pi$
$43$	−1.78480	+	2.67114i	−0.272179	+	0.407345i	0.670049	+	0.742317i	$0.266273\pi$
$44$	−0.700253	+	0.0778912i	−0.105567	+	0.0117425i
$45$	2.48136	−	2.64932i	0.369899	−	0.394937i
$46$	6.33304	−	5.81304i	0.933755	−	0.857086i
$47$	0.866687	+	0.866687i	0.126419	+	0.126419i	0.767486	−	0.641066i	$-0.221508\pi$
$47$	0.866687	+	0.866687i	0.126419	+	0.126419i	−0.641066	+	0.767486i	$0.721508\pi$
$48$	5.53359	+	4.16885i	0.798706	+	0.601722i
$49$	−2.63096	+	2.63096i	−0.375851	+	0.375851i
$50$	0.213893	−	4.99608i	0.0302490	−	0.706552i
$51$	4.01455	+	12.4945i	0.562150	+	1.74958i
$52$	−1.49459	−	2.71336i	−0.207262	−	0.376275i
$53$	0.141316	+	0.0944244i	0.0194113	+	0.0129702i	0.565238	−	0.824928i	$-0.308784\pi$
$53$	0.141316	+	0.0944244i	0.0194113	+	0.0129702i	−0.545827	+	0.837898i	$0.683784\pi$
$54$	−2.08879	+	7.04535i	−0.284249	+	0.958751i
$55$	0.393805	+	0.163119i	0.0531007	+	0.0219950i
$56$	−4.05556	+	3.12835i	−0.541947	+	0.418043i
$57$	0.494002	−	0.622438i	0.0654321	−	0.0824439i
$58$	0.619627	+	4.00322i	0.0813610	+	0.525649i
$59$	−8.97405	+	1.78505i	−1.16832	+	0.232394i	−0.740872	−	0.671646i	$-0.765588\pi$
$59$	−8.97405	+	1.78505i	−1.16832	+	0.232394i	−0.427449	+	0.904039i	$0.640588\pi$
$60$	−1.71546	−	3.82429i	−0.221465	−	0.493714i
$61$	−11.0615	+	7.39103i	−1.41627	+	0.946324i	−0.416974	+	0.908918i	$0.636909\pi$
$61$	−11.0615	+	7.39103i	−1.41627	+	0.946324i	−0.999300	+	0.0374060i	$0.988091\pi$
$62$	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
$66$	−0.860700	+	0.0618625i	−0.105945	+	0.00761475i
$67$	−2.80422	−	4.19682i	−0.342590	−	0.512723i	0.619667	−	0.784865i	$-0.287268\pi$
$67$	−2.80422	−	4.19682i	−0.342590	−	0.512723i	−0.962257	+	0.272142i	$0.912268\pi$
$68$	15.0984	+	1.29516i	1.83095	+	0.157061i
$69$	8.02822	−	6.81144i	0.966485	−	0.820001i
$70$	3.06220	−	0.473973i	0.366003	−	0.0566507i
$71$	2.24207	+	5.41285i	0.266085	+	0.642387i	0.999292	−	0.0376191i	$-0.0119773\pi$
$71$	2.24207	+	5.41285i	0.266085	+	0.642387i	−0.733207	+	0.680006i	$0.761977\pi$
$72$	6.57287	+	5.36632i	0.774620	+	0.632426i
$73$	−6.08575	+	14.6923i	−0.712283	+	1.71960i	−0.0180664	+	0.999837i	$0.505751\pi$
$73$	−6.08575	+	14.6923i	−0.712283	+	1.71960i	−0.694217	+	0.719766i	$0.744249\pi$
$74$	−11.6938	−	2.85096i	−1.35938	−	0.331417i
$75$	0.500503	−	6.10404i	0.0577931	−	0.704834i
$76$	−0.442709	−	0.803719i	−0.0507822	−	0.0921929i
$77$	0.124457	−	0.625687i	0.0141832	−	0.0713037i
$78$	−1.69944	−	3.39206i	−0.192423	−	0.384075i
$79$	5.00420	+	5.00420i	0.563016	+	0.563016i	0.930163	−	0.367147i	$-0.119665\pi$
$79$	5.00420	+	5.00420i	0.563016	+	0.563016i	−0.367147	+	0.930163i	$0.619665\pi$
$80$	−4.83830	+	0.121978i	−0.540938	+	0.0136375i
$81$	−2.89295	+	8.52237i	−0.321439	+	0.946930i
$82$	−4.83253	−	5.26481i	−0.533663	−	0.581402i
$83$	1.64358	−	8.26285i	0.180407	−	0.906966i	−0.779448	−	0.626467i	$-0.784500\pi$
$83$	1.64358	−	8.26285i	0.180407	−	0.906966i	0.959854	−	0.280498i	$-0.0904998\pi$
$84$	−5.11273	+	3.63472i	−0.557845	+	0.396580i
$85$	−7.62272	−	5.09334i	−0.826800	−	0.552450i
$86$	2.36020	+	3.88206i	0.254507	+	0.418614i
$87$	0.567013	+	4.92880i	0.0607902	+	0.528423i
$88$	−0.317888	+	0.944346i	−0.0338869	+	0.100668i
$89$	−4.01147	−	9.68454i	−0.425215	−	1.02656i	−0.980785	−	0.195090i	$-0.937500\pi$
$89$	−4.01147	−	9.68454i	−0.425215	−	1.02656i	0.555571	−	0.831469i	$-0.312500\pi$
$90$	−1.91666	−	4.76219i	−0.202034	−	0.501979i
$91$	2.75093	−	0.547194i	0.288376	−	0.0573615i
$92$	−3.67538	−	11.5883i	−0.383185	−	1.20817i
$93$	5.86753	−	11.4231i	0.608435	−	1.18452i
$94$	1.62834	−	0.594228i	0.167950	−	0.0612900i
$95$			0.555118i			0.0569539i
$96$	8.64665	−	4.60820i	0.882495	−	0.470322i
$97$			0.511477i			0.0519326i	0.999663	+	0.0259663i	$0.00826626\pi$
$97$			0.511477i			0.0519326i	−0.999663	+	0.0259663i	$0.991734\pi$
$98$	1.80387	+	4.94305i	0.182218	+	0.499324i
$99$	−1.05629	+	0.0345795i	−0.106161	+	0.00347537i
$100$	−6.27846	−	3.25485i	−0.627846	−	0.325485i
$101$	−12.5246	+	2.49131i	−1.24625	+	0.247894i	−0.773781	−	0.633454i	$-0.781637\pi$
$101$	−12.5246	+	2.49131i	−1.24625	+	0.247894i	−0.472468	+	0.881348i	$0.656637\pi$
$102$	18.4157	+	2.30651i	1.82343	+	0.228379i
$103$	−4.30678	−	10.3975i	−0.424360	−	1.02450i	−0.981046	−	0.193773i	$-0.937928\pi$
$103$	−4.30678	−	10.3975i	−0.424360	−	1.02450i	0.556687	−	0.830723i	$-0.312072\pi$
$104$	−4.37077	+	0.297634i	−0.428589	+	0.0291854i
$105$	3.77020	−	0.433727i	0.367934	−	0.0423274i
$106$	0.205380	−	0.124866i	0.0199483	−	0.0121280i
$107$	−13.0428	−	8.71489i	−1.26089	−	0.842500i	−0.268221	−	0.963357i	$-0.586436\pi$
$107$	−13.0428	−	8.71489i	−1.26089	−	0.842500i	−0.992670	+	0.120857i	$0.961436\pi$
$108$	7.78753	+	6.88145i	0.749356	+	0.662168i
$109$	1.47832	−	7.43204i	0.141598	−	0.711860i	−0.843123	−	0.537720i	$-0.819286\pi$
$109$	1.47832	−	7.43204i	0.141598	−	0.711860i	0.984721	−	0.174140i	$-0.0557144\pi$
$110$	0.444093	−	0.407629i	0.0423426	−	0.0388659i
$111$	−14.1748	−	4.04783i	−1.34541	−	0.384203i
$112$	1.59174	+	7.06644i	0.150405	+	0.667716i
$113$	−0.382761	−	0.382761i	−0.0360071	−	0.0360071i	0.688874	−	0.724881i	$-0.258105\pi$
$113$	−0.382761	−	0.382761i	−0.0360071	−	0.0360071i	−0.724881	+	0.688874i	$0.758105\pi$
$114$	−0.503387	−	1.00476i	−0.0471465	−	0.0941040i
$115$	−1.43486	+	7.21354i	−0.133802	+	0.672666i
$116$	5.50267	+	1.59377i	0.510910	+	0.147978i
$117$	−1.91770	−	4.23245i	−0.177291	−	0.391290i
$118$	−3.06497	+	12.5716i	−0.282153	+	1.15731i
$119$	−5.25074	+	12.6764i	−0.481335	+	1.16204i
$120$	−5.92700	−	0.0819205i	−0.541059	−	0.00747828i
$121$	4.16202	+	10.0480i	0.378366	+	0.913456i
$122$	2.87780	+	18.5926i	0.260544	+	1.68329i
$123$	−5.66253	−	6.67407i	−0.510573	−	0.601780i
$124$	−9.55087	−	11.3432i	−0.857693	−	1.01865i
$125$	5.73805	+	8.58759i	0.513226	+	0.768098i
$126$	−6.43071	+	4.20390i	−0.572893	+	0.374513i
$127$		−	20.3875i		−	1.80909i	−0.426374	−	0.904547i	$-0.640209\pi$
$127$		−	20.3875i		−	1.80909i	0.426374	−	0.904547i	$-0.359791\pi$
$128$	−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	$-0.486282\pi$
$131$	11.2463	−	7.51452i	0.982592	−	0.656547i	0.939509	+	0.342524i	$0.111282\pi$
$132$	−0.434161	+	1.14051i	−0.0377888	+	0.0992688i
$133$	0.814849	−	0.162083i	0.0706563	−	0.0140544i
$134$	−7.05420	+	1.09186i	−0.609390	+	0.0943227i
$135$	−2.11807	−	5.91961i	−0.182295	−	0.509479i
$136$	10.6682	−	18.5868i	0.914788	−	1.59380i
$137$	6.80483	+	2.81865i	0.581376	+	0.240814i	0.653935	−	0.756550i	$-0.273117\pi$
$137$	6.80483	+	2.81865i	0.581376	+	0.240814i	−0.0725597	+	0.997364i	$0.523117\pi$
$138$	−3.94423	−	14.3576i	−0.335755	−	1.22220i
$139$	−6.22435	−	4.15897i	−0.527942	−	0.352760i	0.262858	−	0.964835i	$-0.415335\pi$
$139$	−6.22435	−	4.15897i	−0.527942	−	0.352760i	−0.790800	+	0.612075i	$0.790335\pi$
$140$	1.21913	−	4.20917i	0.103035	−	0.355740i
$141$	2.02117	−	0.649414i	0.170213	−	0.0546905i
$142$	8.27804	+	0.354401i	0.694678	+	0.0297406i
$143$	0.385831	−	0.385831i	0.0322648	−	0.0322648i
$144$	10.8021	−	5.22639i	0.900173	−	0.435532i
$145$	−2.45071	−	2.45071i	−0.203520	−	0.203520i
$146$	15.2081	+	16.5685i	1.25863	+	1.37122i
$147$	1.97139	+	6.13557i	0.162598	+	0.506053i
$148$	−10.6319	+	13.2932i	−0.873938	+	1.09269i
$149$	2.17395	−	3.25354i	0.178097	−	0.266540i	−0.731671	−	0.681658i	$-0.761259\pi$
$149$	2.17395	−	3.25354i	0.178097	−	0.266540i	0.909768	+	0.415117i	$0.136259\pi$
$150$	−7.52813	−	4.28334i	−0.614669	−	0.349734i
$151$	−5.27703	+	12.7399i	−0.429438	+	1.03676i	0.550028	+	0.835147i	$0.314617\pi$
$151$	−5.27703	+	12.7399i	−0.429438	+	1.03676i	−0.979466	+	0.201610i	$0.935383\pi$
$152$	−1.29466	+	0.0881617i	−0.105011	+	0.00715086i
$153$	22.4271	+	3.70273i	1.81313	+	0.299348i
$154$	−0.728019	−	0.532858i	−0.0586654	−	0.0429389i
$155$	1.75015	+	8.79862i	0.140576	+	0.706722i
$156$	−5.36322	+	0.155391i	−0.429402	+	0.0124412i
$157$	8.90728	+	13.3307i	0.710878	+	1.06390i	0.994476	+	0.104961i	$0.0334717\pi$
$157$	8.90728	+	13.3307i	0.710878	+	1.06390i	−0.283598	+	0.958943i	$0.591528\pi$
$158$	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
$162$	9.20165	+	8.79373i	0.722950	+	0.690901i
$163$	14.0405	−	9.38160i	1.09974	−	0.734823i	0.133137	−	0.991098i	$-0.457495\pi$
$163$	14.0405	−	9.38160i	1.09974	−	0.734823i	0.966604	+	0.256274i	$0.0824951\pi$
$164$	−9.63366	+	3.05544i	−0.752263	+	0.238590i
$165$	0.562966	−	0.477641i	0.0438268	−	0.0371843i
$166$	−9.61424	−	7.03694i	−0.746210	−	0.546172i
$167$	2.92551	−	1.21179i	0.226383	−	0.0937709i	−0.266609	−	0.963805i	$-0.585903\pi$
$167$	2.92551	−	1.21179i	0.226383	−	0.0937709i	0.492992	+	0.870034i	$0.335903\pi$
$168$	1.61032	+	8.72406i	0.124239	+	0.673076i
$169$	−9.79402	−	4.05682i	−0.753386	−	0.312063i
$170$	−11.0784	+	6.73537i	−0.849673	+	0.516580i
$171$	−0.568039	−	1.25369i	−0.0434390	−	0.0958719i
$172$	6.38572	−	0.710302i	0.486906	−	0.0541600i
$173$	22.7182	+	4.51893i	1.72723	+	0.343568i	0.956085	−	0.293089i	$-0.0946834\pi$
$173$	22.7182	+	4.51893i	1.72723	+	0.343568i	0.771147	+	0.636657i	$0.219683\pi$
$174$	6.65807	+	2.21342i	0.504747	+	0.167799i
$175$	4.52778	−	4.52778i	0.342268	−	0.342268i
$176$	1.02121	+	0.970986i	0.0769767	+	0.0731908i
$177$	−4.35168	+	15.2388i	−0.327093	+	1.14542i
$178$	−14.8109	−	0.634085i	−1.11012	−	0.0475267i
$179$	−18.5016	−	3.68020i	−1.38288	−	0.275071i	−0.553076	−	0.833131i	$-0.686546\pi$
$179$	−18.5016	−	3.68020i	−1.38288	−	0.275071i	−0.829801	+	0.558060i	$0.811546\pi$
$180$	−7.24962	−	0.383477i	−0.540355	−	0.0285827i
$181$	−0.577414	+	0.864161i	−0.0429189	+	0.0642326i	−0.852309	−	0.523039i	$-0.824798\pi$
$181$	−0.577414	+	0.864161i	−0.0429189	+	0.0642326i	0.809390	+	0.587272i	$0.199798\pi$
$182$	0.939545	−	3.85374i	0.0696437	−	0.285659i
$183$	2.63344	+	22.8914i	0.194670	+	1.69218i
$184$	−17.0514	−	2.20079i	−1.25705	−	0.162244i
$185$	9.51404	−	3.94085i	0.699486	−	0.289737i
$186$	−11.1464	−	14.3383i	−0.817296	−	1.05134i
$187$	0.520743	+	2.61795i	0.0380805	+	0.191444i
$188$	0.209512	−	2.44239i	0.0152802	−	0.178130i
$189$	−8.07087	+	4.83749i	−0.587069	+	0.351876i
$190$	0.711783	+	0.331176i	0.0516381	+	0.0240260i
$191$	16.8412			1.21859			0.609293	−	0.792945i	$-0.291453\pi$
$191$	16.8412			1.21859			0.609293	+	0.792945i	$0.291453\pi$
$192$	−0.750247	−	13.8361i	−0.0541444	−	0.998533i
$193$	−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
$195$	2.88737	+	1.48311i	0.206769	+	0.106208i
$196$	7.41424	+	0.636004i	0.529588	+	0.0454289i
$197$	0.621690	+	3.12545i	0.0442936	+	0.222679i	0.996592	−	0.0824897i	$-0.0262872\pi$
$197$	0.621690	+	3.12545i	0.0442936	+	0.222679i	−0.952298	+	0.305169i	$0.901287\pi$
$198$	−0.585831	+	1.37503i	−0.0416332	+	0.0977189i
$199$	−5.19611	+	2.15230i	−0.368342	+	0.152572i	−0.559174	−	0.829050i	$-0.688882\pi$
$199$	−5.19611	+	2.15230i	−0.368342	+	0.152572i	0.190832	+	0.981623i	$0.438882\pi$
$200$	−7.91908	+	6.10856i	−0.559963	+	0.431941i
$201$	−8.68519	+	0.999151i	−0.612606	+	0.0704747i
$202$	−4.27763	+	17.5456i	−0.300973	+	1.23450i
$203$	−2.88179	+	4.31291i	−0.202262	+	0.302707i
$204$	13.9440	−	22.2369i	0.976276	−	1.55690i
$205$	5.99680	+	1.19284i	0.418834	+	0.0833114i
$206$	−15.9012	−	0.680765i	−1.10789	−	0.0474312i
$207$	−4.14092	−	17.7594i	−0.287814	−	1.23437i
$208$	−2.22591	+	5.78185i	−0.154339	+	0.400899i
$209$	0.114286	−	0.114286i	0.00790536	−	0.00790536i
$210$	1.69312	−	5.09298i	0.116836	−	0.351449i
$211$	−1.77557	−	0.353183i	−0.122235	−	0.0243141i	0.133594	−	0.991036i	$-0.457348\pi$
$211$	−1.77557	−	0.353183i	−0.122235	−	0.0243141i	−0.255829	+	0.966722i	$0.582348\pi$
$212$	−0.0375784	−	0.337835i	−0.00258090	−	0.0232026i
$213$	10.1138	+	0.829287i	0.692989	+	0.0568218i
$214$	−18.9555	+	11.5245i	−1.29577	+	0.787797i
$215$	−3.59117	−	1.48751i	−0.244916	−	0.101447i
$216$	13.4695	−	5.87994i	0.916481	−	0.400079i
$217$	12.4043	−	5.13805i	0.842061	−	0.348793i
$218$	−8.64755	−	6.32939i	−0.585686	−	0.428680i
$219$	17.8201	+	21.0034i	1.20417	+	1.41928i
$220$	−0.257730	−	0.812611i	−0.0173761	−	0.0547862i
$221$	−9.75790	+	6.52002i	−0.656388	+	0.438584i
$222$	−13.6467	+	15.7603i	−0.915906	+	1.05776i
$223$	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	$-0.211514\pi$
$227$	−1.26179	−	1.88841i	−0.0837482	−	0.125338i	−0.870979	+	0.491321i	$0.836514\pi$
$228$	−1.58863	+	0.0460280i	−0.105210	+	0.00304828i
$229$	4.61236	+	23.1879i	0.304793	+	1.53230i	0.764732	+	0.644348i	$0.222871\pi$
$229$	4.61236	+	23.1879i	0.304793	+	1.53230i	−0.459939	+	0.887951i	$0.652129\pi$
$230$	8.39331	+	6.14330i	0.553439	+	0.405077i
$231$	−0.865496	−	0.686906i	−0.0569454	−	0.0451951i
$232$	5.32638	−	6.10480i	0.349694	−	0.400800i
$233$	7.38685	−	17.8334i	0.483929	−	1.16831i	−0.473800	−	0.880633i	$-0.657118\pi$
$233$	7.38685	−	17.8334i	0.483929	−	1.16831i	0.957728	−	0.287674i	$-0.0928821\pi$
$234$	−6.57100	−	0.0661129i	−0.429560	−	0.00432193i
$235$	−0.823923	+	1.23309i	−0.0537468	+	0.0804378i
$236$	14.2911	+	11.4300i	0.930268	+	0.744031i
$237$	11.6701	−	3.74968i	0.758056	−	0.243568i
$238$	13.1214	+	14.2952i	0.850535	+	0.926618i
$239$	−16.8325	−	16.8325i	−1.08880	−	1.08880i	−0.995652	−	0.0931492i	$-0.970307\pi$
$239$	−16.8325	−	16.8325i	−1.08880	−	1.08880i	−0.0931492	−	0.995652i	$-0.529693\pi$
$240$	−3.64101	+	7.55084i	−0.235026	+	0.487404i
$241$	7.55413	−	7.55413i	0.486605	−	0.486605i	−0.420628	−	0.907233i	$-0.638190\pi$
$241$	7.55413	−	7.55413i	0.486605	−	0.486605i	0.907233	+	0.420628i	$0.138190\pi$
$242$	15.3668	+	0.657884i	0.987813	+	0.0422904i
$243$	10.8409	+	11.2016i	0.695443	+	0.718581i
$244$	25.5566	+	7.40212i	1.63610	+	0.473872i
$245$	−3.74322	−	2.50114i	−0.239146	−	0.159792i
$246$	−11.9358	+	3.27894i	−0.760999	+	0.209057i
$247$	0.656519	+	0.271939i	0.0417733	+	0.0173031i
$248$	−20.2424	+	5.47911i	−1.28539	+	0.347924i
$249$	−11.4298	−	9.07131i	−0.724332	−	0.574871i
$250$	14.4344	−	2.23419i	0.912912	−	0.141303i
$251$	0.0778052	−	0.0154764i	0.00491102	−	0.000976863i	−0.192634	−	0.981271i	$-0.561703\pi$
$251$	0.0778052	−	0.0154764i	0.00491102	−	0.000976863i	0.197545	+	0.980294i	$0.436703\pi$
$252$	1.55385	+	10.7536i	0.0978830	+	0.677411i
$253$	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	$-0.122827\pi$
$258$	7.84886	−	0.564134i	0.488649	−	0.0351215i
$259$	−8.56261	−	12.8149i	−0.532055	−	0.796276i
$260$	2.86717	−	2.41413i	0.177814	−	0.149718i
$261$	8.04246	+	3.02697i	0.497816	+	0.187365i
$262$	−2.92589	−	18.9033i	−0.180762	−	1.16785i
$263$	6.59833	+	15.9298i	0.406871	+	0.982272i	0.985956	+	0.167006i	$0.0534098\pi$
$263$	6.59833	+	15.9298i	0.406871	+	0.982272i	−0.579085	+	0.815267i	$0.696590\pi$
$264$	1.20337	+	1.23710i	0.0740624	+	0.0761384i
$265$	−0.0786965	+	0.189990i	−0.00483429	+	0.0116710i
$266$	0.278301	−	1.14151i	0.0170637	−	0.0699905i
$267$	−18.0954	−	1.48374i	−1.10742	−	0.0908034i
$268$	−2.80843	+	9.69642i	−0.171552	+	0.592303i
$269$	1.04745	−	5.26591i	0.0638644	−	0.321068i	−0.935626	−	0.352993i	$-0.885164\pi$
$269$	1.04745	−	5.26591i	0.0638644	−	0.321068i	0.999490	+	0.0319252i	$0.0101638\pi$
$270$	−8.85385	−	0.815728i	−0.538828	−	0.0496436i
$271$	10.9804	+	10.9804i	0.667010	+	0.667010i	0.957023	−	0.290013i	$-0.0936596\pi$
$271$	10.9804	+	10.9804i	0.667010	+	0.667010i	−0.290013	+	0.957023i	$0.593660\pi$
$272$	−17.4678	−	24.7675i	−1.05914	−	1.50175i
$273$	1.33398	−	4.67136i	0.0807361	−	0.282724i
$274$	7.67380	−	7.04371i	0.463591	−	0.425526i
$275$	0.243020	−	1.22175i	0.0146547	−	0.0736741i
$276$	−20.7626	−	3.50816i	−1.24976	−	0.211166i
$277$	−16.5708	−	11.0722i	−0.995642	−	0.665267i	−0.0528340	−	0.998603i	$-0.516825\pi$
$277$	−16.5708	−	11.0722i	−0.995642	−	0.665267i	−0.942808	+	0.333337i	$0.891825\pi$
$278$	−9.04607	+	5.49978i	−0.542547	+	0.329855i
$279$	−12.9560	−	18.0801i	−0.775655	−	1.08242i
$280$	−4.66977	−	4.07432i	−0.279072	−	0.243487i
$281$	0.813714	+	1.96448i	0.0485421	+	0.117191i	0.946291	−	0.323318i	$-0.104798\pi$
$281$	0.813714	+	1.96448i	0.0485421	+	0.117191i	−0.897748	+	0.440508i	$0.854798\pi$
$282$	0.373113	−	2.97902i	0.0222186	−	0.177398i
$283$	27.0094	−	5.37250i	1.60554	−	0.319362i	0.690688	−	0.723153i	$-0.257308\pi$
$283$	27.0094	−	5.37250i	1.60554	−	0.319362i	0.914851	+	0.403791i	$0.132308\pi$
$284$	5.39299	−	10.4028i	0.320015	−	0.617294i
$285$	0.855263	+	0.439310i	0.0506614	+	0.0260225i
$286$	−0.264538	−	0.724902i	−0.0156425	−	0.0428644i
$287$		−	9.15088i		−	0.540160i
$288$	−0.257003	−	16.9686i	−0.0151440	−	0.999885i
$289$		−	40.4097i		−	2.37704i
$290$	−4.60440	+	1.68028i	−0.270380	+	0.0986697i
$291$	0.788026	+	0.404773i	0.0461949	+	0.0237282i
$292$	30.3173	−	9.61553i	1.77419	−	0.562706i
$293$	−21.8303	+	4.34232i	−1.27534	+	0.253681i	−0.785899	−	0.618354i	$-0.787800\pi$
$293$	−21.8303	+	4.34232i	−1.27534	+	0.253681i	−0.489442	+	0.872036i	$0.662800\pi$
$294$	9.04324	+	1.13264i	0.527413	+	0.0660569i
$295$	−4.23667	−	10.2282i	−0.246669	−	0.595511i
$296$	10.7019	+	21.5630i	0.622035	+	1.25332i
$297$	−0.782652	+	1.65478i	−0.0454141	+	0.0960201i
$298$	−2.87480	−	4.72849i	−0.166533	−	0.273914i
$299$	7.82830	+	5.23070i	0.452722	+	0.302499i
$300$	−9.98336	+	7.09732i	−0.576390	+	0.409764i
$301$	−1.13494	+	5.70574i	−0.0654170	+	0.328873i
$302$	13.1871	+	14.3667i	0.758832	+	0.826713i
$303$	−6.07344	+	21.2681i	−0.348910	+	1.22182i
$304$	−0.659333	+	1.71263i	−0.0378153	+	0.0982261i
$305$	−11.3821	−	11.3821i	−0.651736	−	0.651736i
$306$	18.1274	−	26.5475i	1.03628	−	1.51762i
$307$	−1.30264	+	6.54884i	−0.0743459	+	0.373762i	−0.999989	−	0.00463515i	$-0.998525\pi$
$307$	−1.30264	+	6.54884i	−0.0743459	+	0.373762i	0.925643	+	0.378397i	$0.123525\pi$
$308$	−1.11757	+	0.615584i	−0.0636792	+	0.0350761i
$309$	−19.4276	−	1.59297i	−1.10520	−	0.0906209i
$310$	12.3259	+	3.00506i	0.700063	+	0.170676i
$311$	8.66081	−	20.9090i	0.491110	−	1.18564i	−0.463047	−	0.886334i	$-0.653244\pi$
$311$	8.66081	−	20.9090i	0.491110	−	1.18564i	0.954156	−	0.299309i	$-0.0967563\pi$
$312$	−3.00038	+	6.96953i	−0.169863	+	0.394572i
$313$	−0.187664	−	0.453060i	−0.0106074	−	0.0256085i	0.918487	−	0.395451i	$-0.129412\pi$
$313$	−0.187664	−	0.453060i	−0.0106074	−	0.0256085i	−0.929094	+	0.369842i	$0.879412\pi$
$314$	22.4068	−	3.46817i	1.26449	−	0.195720i
$315$	2.31543	−	6.15195i	0.130460	−	0.346623i
$316$	1.20971	−	14.1022i	0.0680514	−	0.793311i
$317$	−2.48905	−	3.72513i	−0.139799	−	0.209224i	0.754963	−	0.655767i	$-0.227655\pi$
$317$	−2.48905	−	3.72513i	−0.139799	−	0.209224i	−0.894762	+	0.446544i	$0.852655\pi$
$318$	−0.0298454	−	0.415243i	−0.00167365	−	0.0232857i
$319$			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
$324$	16.7651	−	6.55231i	0.931392	−	0.364017i
$325$	5.37160	−	1.06848i	0.297963	−	0.0592685i
$326$	−3.65286	−	23.6000i	−0.202313	−	1.30708i
$327$	−10.2805	−	8.15920i	−0.568514	−	0.451205i
$328$	−1.82957	+	14.1753i	−0.101021	+	0.782700i
$329$	2.05060	+	0.849386i	0.113053	+	0.0468282i
$330$	−0.276582	−	1.00680i	−0.0152254	−	0.0554225i
$331$	−4.72899	−	3.15981i	−0.259929	−	0.173679i	0.418777	−	0.908089i	$-0.362459\pi$
$331$	−4.72899	−	3.15981i	−0.259929	−	0.173679i	−0.678706	+	0.734410i	$0.737459\pi$
$332$	−14.7586	+	8.12942i	−0.809984	+	0.446160i
$333$	−17.4541	+	18.6356i	−0.956478	+	1.02122i
$334$	0.191545	−	4.47408i	0.0104809	−	0.244811i
$335$	4.31846	−	4.31846i	0.235943	−	0.235943i
$336$	12.1469	+	3.13988i	0.662665	+	0.171294i
$337$	16.5565	+	16.5565i	0.901889	+	0.901889i	0.995599	−	0.0937107i	$-0.0298729\pi$
$337$	16.5565	+	16.5565i	0.901889	+	0.901889i	−0.0937107	+	0.995599i	$0.529873\pi$
$338$	−11.0447	+	10.1378i	−0.600753	+	0.551426i
$339$	−0.892625	+	0.286805i	−0.0484807	+	0.0155771i
$340$	2.02701	+	18.2231i	0.109930	+	0.988288i
$341$	1.45112	−	2.17176i	0.0785827	−	0.117607i
$342$	−1.94639	−	0.0195832i	−0.105248	−	0.00105894i
$343$	−7.42938	+	17.9361i	−0.401149	+	0.968459i
$344$	2.89887	−	8.61164i	0.156296	−	0.464308i
$345$	9.97828	+	7.91933i	0.537213	+	0.426362i
$346$	19.3476	−	26.4338i	1.04013	−	1.42109i
$347$	−4.52316	−	22.7394i	−0.242816	−	1.22072i	−0.889133	−	0.457649i	$-0.848692\pi$
$347$	−4.52316	−	22.7394i	−0.242816	−	1.22072i	0.646317	−	0.763069i	$-0.276308\pi$
$348$	6.81020	−	7.21661i	0.365065	−	0.386851i
$349$	12.7156	+	19.0302i	0.680649	+	1.01866i	0.997533	+	0.0701993i	$0.0223635\pi$
$349$	12.7156	+	19.0302i	0.680649	+	1.01866i	−0.316884	+	0.948464i	$0.602636\pi$
$350$	−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	$-0.308400\pi$
$353$	21.2771			1.13247			0.566233	+	0.824245i	$0.308400\pi$
$354$	16.9434	+	14.6711i	0.900531	+	0.779760i
$355$	−5.89423	+	3.93840i	−0.312833	+	0.209029i
$356$	−9.64900	+	18.6125i	−0.511396	+	0.986461i
$357$	15.3750	+	18.1216i	0.813734	+	0.959098i
$358$	−15.7566	+	21.5276i	−0.832765	+	1.13777i
$359$	15.0547	−	6.23585i	0.794556	−	0.329116i	0.0517820	−	0.998658i	$-0.483510\pi$
$359$	15.0547	−	6.23585i	0.794556	−	0.329116i	0.742774	+	0.669543i	$0.233510\pi$
$360$	−4.81673	+	9.06682i	−0.253864	+	0.477863i
$361$	−17.3592	−	7.19043i	−0.913644	−	0.378444i
$362$	0.763566	+	1.25592i	0.0401322	+	0.0660096i
$363$	18.7746	+	1.53943i	0.985411	+	0.0807990i
$364$	−4.38082	−	3.50379i	−0.229618	−	0.183649i
$365$	−18.8720	−	3.75388i	−0.987808	−	0.196487i
$366$	30.9228	+	10.2800i	1.61636	+	0.537346i
$367$	−17.9288	+	17.9288i	−0.935877	+	0.935877i	−0.998064	−	0.0621874i	$-0.980192\pi$
$367$	−17.9288	+	17.9288i	−0.935877	+	0.935877i	0.0621874	+	0.998064i	$0.480192\pi$
$368$	−12.9945	+	20.5507i	−0.677388	+	1.07128i
$369$	−14.7639	+	3.44245i	−0.768576	+	0.179207i
$370$	0.622922	−	14.5501i	0.0323842	−	0.756426i
$371$	0.301861	+	0.0600440i	0.0156719	+	0.00311733i
$372$	−25.0347	+	5.73812i	−1.29799	+	0.297508i
$373$	3.81912	−	5.71572i	0.197747	−	0.295949i	−0.719323	−	0.694676i	$-0.755548\pi$
$373$	3.81912	−	5.71572i	0.197747	−	0.295949i	0.917070	+	0.398727i	$0.130548\pi$
$374$	3.66746	+	0.894128i	0.189640	+	0.0462343i
$375$	17.7718	−	2.04448i	0.917730	−	0.105576i
$376$	−3.00669	−	1.72574i	−0.155058	−	0.0889981i
$377$	−4.09891	+	1.69782i	−0.211105	+	0.0874424i
$378$	1.38775	+	13.2346i	0.0713784	+	0.680714i
$379$	4.14184	+	20.8224i	0.212752	+	1.06958i	0.928533	+	0.371251i	$0.121071\pi$
$379$	4.14184	+	20.8224i	0.212752	+	1.06958i	−0.715781	+	0.698325i	$0.753929\pi$
$380$	0.849280	−	0.715086i	0.0435671	−	0.0366831i
$381$	−31.4107	−	16.1342i	−1.60922	−	0.826582i
$382$	10.0472	−	21.5941i	0.514061	−	1.10485i
$383$	14.0621			0.718539			0.359270	−	0.933234i	$-0.383026\pi$
$383$	14.0621			0.718539			0.359270	+	0.933234i	$0.383026\pi$
$384$	−18.1885	−	7.29244i	−0.928176	−	0.372141i
$385$	0.771888			0.0393391
$386$	−6.57511	+	14.1316i	−0.334664	+	0.719280i
$387$	9.63249	−	0.315336i	0.489647	−	0.0160294i
$388$	0.782513	−	0.658869i	0.0397261	−	0.0334490i
$389$	1.56898	+	7.88779i	0.0795504	+	0.399927i	0.999960	+	0.00897073i	$0.00285551\pi$
$389$	1.56898	+	7.88779i	0.0795504	+	0.399927i	−0.920409	+	0.390956i	$0.872144\pi$
$390$	3.62424	−	2.81744i	0.183520	−	0.142667i
$391$	−42.5512	+	17.6253i	−2.15191	+	0.891348i
$392$	5.23873	−	9.12724i	0.264596	−	0.460995i
$393$	−2.67744	−	23.2738i	−0.135059	−	1.17401i
$394$	4.37840	+	1.06746i	0.220581	+	0.0537777i
$395$	−4.75728	+	7.11978i	−0.239365	+	0.358235i
$396$	1.41359	+	1.57148i	0.0710354	+	0.0789701i
$397$	15.0464	+	2.99291i	0.755157	+	0.150210i	0.557633	−	0.830088i	$-0.311710\pi$
$397$	15.0464	+	2.99291i	0.755157	+	0.150210i	0.197525	+	0.980298i	$0.436710\pi$
$398$	−0.340210	+	7.94658i	−0.0170532	+	0.398326i
$399$	0.395136	−	1.38370i	0.0197815	−	0.0692715i
$400$	3.10810	+	13.7983i	0.155405	+	0.689914i
$401$	−6.24050	+	6.24050i	−0.311636	+	0.311636i	−0.845543	−	0.533907i	$-0.820723\pi$
$401$	−6.24050	+	6.24050i	−0.311636	+	0.311636i	0.533907	+	0.845543i	$0.320723\pi$
$402$	−3.90034	+	11.7324i	−0.194531	+	0.585159i
$403$	11.2632	+	2.24039i	0.561059	+	0.111602i
$404$	19.9453	+	15.9523i	0.992317	+	0.793658i
$405$	−10.7965	−	1.42138i	−0.536481	−	0.0706289i
$406$	3.81085	+	6.26811i	0.189130	+	0.311081i
$407$	−2.77006	−	1.14740i	−0.137307	−	0.0568744i
$408$	−20.1938	−	31.1455i	−0.999742	−	1.54193i
$409$	−16.7368	+	6.93262i	−0.827583	+	0.342796i	−0.755946	−	0.654634i	$-0.772823\pi$
$409$	−16.7368	+	6.93262i	−0.827583	+	0.342796i	−0.0716377	+	0.997431i	$0.522823\pi$
$410$	5.10709	−	6.97757i	0.252221	−	0.344598i
$411$	9.72787	−	8.25349i	0.479841	−	0.407114i
$412$	−10.3593	+	19.9827i	−0.510368	+	0.984477i
$413$	−13.7768	+	9.20538i	−0.677913	+	0.452967i
$414$	−25.2419	−	5.28547i	−1.24057	−	0.259766i
$415$	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	0.896918	+	0.442196i	$0.145801\pi$
$419$	19.6961	+	29.4773i	0.962219	+	1.44006i	0.0653003	+	0.997866i	$0.479199\pi$
$420$	−5.52022	−	5.20935i	−0.269359	−	0.254190i
$421$	−2.22772	−	11.1995i	−0.108573	−	0.545832i	−0.996336	−	0.0855306i	$-0.972741\pi$
$421$	−2.22772	−	11.1995i	−0.108573	−	0.545832i	0.887763	−	0.460301i	$-0.152259\pi$
$422$	−1.51214	+	2.06597i	−0.0736098	+	0.100570i
$423$	0.598973	−	3.62793i	0.0291231	−	0.176396i
$424$	−0.455597	−	0.153364i	−0.0221258	−	0.00744802i
$425$	−10.2528	+	24.7526i	−0.497336	+	1.20068i
$426$	7.09710	−	12.4734i	0.343856	−	0.604338i
$427$	−13.3842	+	20.0309i	−0.647708	+	0.969364i
$428$	3.46830	+	31.1805i	0.167646	+	1.50717i
$429$	−0.289106	−	0.899785i	−0.0139582	−	0.0434420i
$430$	−4.04976	+	3.71724i	−0.195297	+	0.179261i
$431$	5.45637	+	5.45637i	0.262824	+	0.262824i	0.826200	−	0.563376i	$-0.190498\pi$
$431$	5.45637	+	5.45637i	0.262824	+	0.262824i	−0.563376	+	0.826200i	$0.690498\pi$
$432$	0.496324	−	20.7787i	0.0238794	−	0.999715i
$433$	6.70357	−	6.70357i	0.322153	−	0.322153i	−0.527439	−	0.849593i	$-0.676848\pi$
$433$	6.70357	−	6.70357i	0.322153	−	0.322153i	0.849593	+	0.527439i	$0.176848\pi$
$434$	0.812161	−	18.9704i	0.0389850	−	0.910607i
$435$	−5.71521	+	1.83633i	−0.274024	+	0.0880453i
$436$	−13.2747	+	7.31202i	−0.635741	+	0.350182i
$437$	2.31881	+	1.54938i	0.110924	+	0.0741168i
$438$	37.5622	−	10.3189i	1.79479	−	0.493055i
$439$	−1.64770	−	0.682501i	−0.0786406	−	0.0325740i	0.343016	−	0.939329i	$-0.388551\pi$
$439$	−1.64770	−	0.682501i	−0.0786406	−	0.0325740i	−0.421657	+	0.906755i	$0.638551\pi$
$440$	−1.19570	−	0.154327i	−0.0570029	−	0.00735723i
$441$	11.0131	+	1.81827i	0.524434	+	0.0865843i
$442$	2.53866	+	16.4015i	0.120752	+	0.780141i
$443$	24.1233	−	4.79843i	1.14613	−	0.227980i	0.414743	−	0.909938i	$-0.363871\pi$
$443$	24.1233	−	4.79843i	1.14613	−	0.227980i	0.731391	+	0.681958i	$0.238871\pi$
$444$	12.0667	+	26.9004i	0.572662	+	1.27664i
$445$	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	$-0.128613\pi$
$450$	−12.5569	+	8.20873i	−0.591938	+	0.386963i
$451$	−0.989028	−	1.48019i	−0.0465715	−	0.0696992i
$452$	−0.0925283	+	1.07865i	−0.00435216	+	0.0507355i
$453$	15.4520	+	18.2123i	0.725999	+	0.855690i
$454$	−3.17412	+	0.491297i	−0.148969	+	0.0230577i
$455$	1.29872	+	3.13539i	0.0608850	+	0.146989i
$456$	−0.888738	+	2.06443i	−0.0416189	+	0.0966759i
$457$	−1.88990	+	4.56262i	−0.0884057	+	0.213430i	−0.961898	−	0.273407i	$-0.911849\pi$
$457$	−1.88990	+	4.56262i	−0.0884057	+	0.213430i	0.873493	+	0.486837i	$0.161849\pi$
$458$	32.4836	+	7.91953i	1.51786	+	0.370055i
$459$	23.4532	−	31.6229i	1.09470	−	1.47603i
$460$	12.8844	−	7.09705i	0.600738	−	0.330902i
$461$	−2.63011	+	13.2224i	−0.122496	+	0.615830i	0.869949	+	0.493142i	$0.164152\pi$
$461$	−2.63011	+	13.2224i	−0.122496	+	0.615830i	−0.992445	+	0.122688i	$0.960848\pi$
$462$	−1.39711	+	0.699956i	−0.0649993	+	0.0325649i
$463$	−30.3105	−	30.3105i	−1.40865	−	1.40865i	−0.766995	−	0.641653i	$-0.778249\pi$
$463$	−30.3105	−	30.3105i	−1.40865	−	1.40865i	−0.641653	−	0.766995i	$-0.721751\pi$
$464$	−4.65005	−	10.4716i	−0.215873	−	0.486133i
$465$	14.9410	+	4.26662i	0.692870	+	0.197860i
$466$	−18.4595	−	20.1107i	−0.855118	−	0.931612i
$467$	−0.567936	+	2.85521i	−0.0262809	+	0.132123i	−0.991698	−	0.128586i	$-0.958956\pi$
$467$	−0.567936	+	2.85521i	−0.0262809	+	0.132123i	0.965417	+	0.260709i	$0.0839563\pi$
$468$	−4.00494	+	8.38602i	−0.185129	+	0.387644i
$469$	−7.59991	−	5.07810i	−0.350931	−	0.234485i
$470$	1.08955	+	1.79209i	0.0502571	+	0.0826631i
$471$	27.5875	−	3.17368i	1.27116	−	0.146236i
$472$	23.1816	−	11.5053i	1.06702	−	0.529572i
$473$	0.433096	+	1.04559i	0.0199138	+	0.0480761i
$474$	2.15433	−	17.2007i	0.0989517	−	0.790052i
$475$	1.59111	−	0.316492i	0.0730052	−	0.0145216i
$476$	26.1576	−	8.29621i	1.19893	−	0.380256i
$477$	−0.0166828	−	0.509605i	−0.000763853	−	0.0233332i
$478$	−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	$0.725677\pi$
$480$	7.50965	+	9.17329i	0.342767	+	0.418702i
$481$		−	13.1825i		−	0.601068i
$482$	−5.17936	−	14.1927i	−0.235913	−	0.646462i
$483$	8.71119	−	16.9592i	0.396373	−	0.771672i
$484$	10.0112	−	19.3111i	0.455052	−	0.877776i
$485$	−0.606975	+	0.120735i	−0.0275613	+	0.00548229i
$486$	20.8304	−	7.21767i	0.944886	−	0.327400i
$487$	1.13093	+	2.73032i	0.0512475	+	0.123722i	0.947430	−	0.319963i	$-0.103671\pi$
$487$	1.13093	+	2.73032i	0.0512475	+	0.123722i	−0.896182	+	0.443686i	$0.853671\pi$
$488$	24.7379	−	28.3532i	1.11983	−	1.28349i
$489$	−3.34268	−	29.0565i	−0.151161	−	1.31398i
$490$	−5.44017	+	3.30748i	−0.245762	+	0.149417i
$491$	−11.3505	−	7.58416i	−0.512241	−	0.342268i	0.272435	−	0.962174i	$-0.412171\pi$
$491$	−11.3505	−	7.58416i	−0.512241	−	0.342268i	−0.784676	+	0.619906i	$0.787171\pi$
$492$	−2.91642	+	17.2605i	−0.131482	+	0.778162i
$493$	4.23413	−	21.2864i	0.190696	−	0.958691i
$494$	0.740356	−	0.679566i	0.0333102	−	0.0305751i
$495$	−0.290375	−	1.24535i	−0.0130514	−	0.0559743i
$496$	−5.05091	+	29.2239i	−0.226792	+	1.31219i
$497$	7.50211	+	7.50211i	0.336516	+	0.336516i
$498$	−18.4502	+	9.24364i	−0.826775	+	0.414218i
$499$	6.99769	−	35.1797i	0.313259	−	1.57486i	−0.428086	−	0.903738i	$-0.640812\pi$
$499$	6.99769	−	35.1797i	0.313259	−	1.57486i	0.741346	−	0.671124i	$-0.234188\pi$
$500$	5.74665	−	19.8410i	0.256998	−	0.887315i
$501$	0.448209	−	5.46628i	0.0200245	−	0.244216i
$502$	0.0265734	−	0.108996i	0.00118603	−	0.00486474i
$503$	3.21744	−	7.76759i	0.143459	−	0.346340i	−0.835776	−	0.549071i	$-0.814982\pi$
$503$	3.21744	−	7.76759i	0.143459	−	0.346340i	0.979234	+	0.202731i	$0.0649817\pi$
$504$	14.7154	+	4.42306i	0.655477	+	0.197019i
$505$	−5.91292	−	14.2750i	−0.263121	−	0.635231i
$506$	−0.463227	−	2.99277i	−0.0205929	−	0.133045i
$507$	−14.0011	+	11.8790i	−0.621810	+	0.527567i
$508$	−31.1909	+	26.2625i	−1.38387	+	1.16521i
$509$	−6.20342	−	9.28407i	−0.274962	−	0.411509i	0.668129	−	0.744046i	$-0.267096\pi$
$509$	−6.20342	−	9.28407i	−0.274962	−	0.411509i	−0.943090	+	0.332536i	$0.892096\pi$
$510$	1.60989	+	22.3986i	0.0712871	+	0.991825i
$511$			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
$516$	3.95918	−	10.4005i	0.174293	−	0.457857i
$517$	0.423493	−	0.0842380i	0.0186252	−	0.00370478i
$518$	−21.5398	+	3.33397i	−0.946404	+	0.146486i
$519$	24.9410	−	31.4254i	1.09479	−	1.37942i
$520$	−1.38493	−	5.11658i	−0.0607333	−	0.224377i
$521$	−23.1719	−	9.59813i	−1.01518	−	0.420502i	−0.187838	−	0.982200i	$-0.560148\pi$
$521$	−23.1719	−	9.59813i	−1.01518	−	0.420502i	−0.827342	+	0.561698i	$0.810148\pi$
$522$	8.67926	−	8.50635i	0.379881	−	0.372313i
$523$	2.25094	+	1.50403i	0.0984265	+	0.0657665i	0.603809	−	0.797129i	$-0.293649\pi$
$523$	2.25094	+	1.50403i	0.0984265	+	0.0657665i	−0.505383	+	0.862895i	$0.668649\pi$
$524$	−25.9836	−	7.52580i	−1.13510	−	0.328766i
$525$	−3.39270	−	10.5591i	−0.148069	−	0.460837i
$526$	24.3619	+	1.04299i	1.06223	+	0.0454764i
$527$	−39.7235	+	39.7235i	−1.73038	+	1.73038i
$528$	2.30415	−	0.804947i	0.100275	−	0.0350308i
$529$	9.86370	+	9.86370i	0.428856	+	0.428856i
$530$	0.196660	+	0.214252i	0.00854235	+	0.00930650i
$531$	20.0345	+	18.7643i	0.869421	+	0.814302i
$532$	−1.29764	−	1.03785i	−0.0562597	−	0.0449966i
$533$	4.34842	−	6.50786i	0.188351	−	0.281887i
$534$	−12.6980	+	22.3171i	−0.549495	+	0.965757i
$535$	7.26329	−	17.5351i	0.314019	−	0.758110i
$536$	10.7575	+	9.38577i	0.464651	+	0.405404i
$537$	−20.3119	+	25.5928i	−0.876522	+	1.10441i
$538$	−6.12715	−	4.48463i	−0.264160	−	0.193346i
$539$	0.255717	+	1.28558i	0.0110145	+	0.0553737i
$540$	−6.32803	+	10.8659i	−0.272315	+	0.467595i
$541$	−10.1967	−	15.2604i	−0.438389	−	0.656096i	0.544825	−	0.838550i	$-0.316596\pi$
$541$	−10.1967	−	15.2604i	−0.438389	−	0.656096i	−0.983214	+	0.182454i	$0.941596\pi$
$542$	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
$546$	−5.19388	−	4.49732i	−0.222277	−	0.192468i
$547$	9.39841	−	6.27982i	0.401847	−	0.268506i	−0.338182	−	0.941081i	$-0.609812\pi$
$547$	9.39841	−	6.27982i	0.401847	−	0.268506i	0.740029	+	0.672575i	$0.234812\pi$
$548$	−4.45349	−	14.0417i	−0.190244	−	0.599830i
$549$	37.3525	+	14.0585i	1.59416	+	0.600001i
$550$	−1.42156	−	1.04048i	−0.0606157	−	0.0443663i
$551$	−1.21413	+	0.502910i	−0.0517237	+	0.0214247i
$552$	−16.8849	+	24.5293i	−0.718669	+	1.04403i
$553$	11.8400	+	4.90430i	0.503490	+	0.208552i
$554$	−24.0829	+	14.6418i	−1.02319	+	0.622071i
$555$	1.45762	−	17.7769i	0.0618725	−	0.754586i
$556$	1.65516	+	14.8801i	0.0701945	+	0.631059i
$557$	0.973075	+	0.193557i	0.0412305	+	0.00820126i	0.215662	−	0.976468i	$-0.430809\pi$
$557$	0.973075	+	0.193557i	0.0412305	+	0.00820126i	−0.174432	+	0.984669i	$0.555809\pi$
$558$	−30.9119	+	5.82609i	−1.30861	+	0.246638i
$559$	−3.51846	+	3.51846i	−0.148815	+	0.148815i
$560$	−8.01009	+	3.55697i	−0.338488	+	0.150310i
$561$	4.44555	+	1.26949i	0.187691	+	0.0535981i
$562$	3.00434	+	0.128622i	0.126730	+	0.00542560i
$563$	−38.4068	−	7.63958i	−1.61865	−	0.321970i	−0.699126	−	0.714998i	$-0.746427\pi$
$563$	−38.4068	−	7.63958i	−1.61865	−	0.321970i	−0.919526	+	0.393028i	$0.871427\pi$
$564$	−3.59716	−	2.25565i	−0.151468	−	0.0949801i
$565$	0.363875	−	0.544578i	0.0153084	−	0.0229106i
$566$	9.22470	−	37.8371i	0.387743	−	1.59041i
$567$	1.06594	+	16.2630i	0.0447651	+	0.682981i
$568$	−10.1213	−	13.1212i	−0.424681	−	0.550552i
$569$	1.65125	−	0.683971i	0.0692241	−	0.0286736i	−0.347803	−	0.937568i	$-0.613072\pi$
$569$	1.65125	−	0.683971i	0.0692241	−	0.0286736i	0.417027	+	0.908894i	$0.363072\pi$
$570$	1.07353	−	0.834548i	0.0449652	−	0.0349554i
$571$	4.40514	+	22.1461i	0.184349	+	0.926787i	0.956586	+	0.291451i	$0.0941382\pi$
$571$	4.40514	+	22.1461i	0.184349	+	0.926787i	−0.772236	+	0.635336i	$0.780862\pi$
$572$	−1.08730	−	0.0932704i	−0.0454624	−	0.00389983i
$573$	13.3278	−	25.9470i	0.556776	−	1.08395i
$574$	−11.7334	−	5.45929i	−0.489744	−	0.227866i
$575$	21.4939			0.896358
$576$	−21.9108	−	9.79371i	−0.912950	−	0.408071i
$577$	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
$579$	−8.72198	+	16.9802i	−0.362473	+	0.705675i
$580$	−0.592431	+	6.90628i	−0.0245994	+	0.286768i
$581$	−2.97632	−	14.9630i	−0.123479	−	0.620769i
$582$	0.989133	−	0.768939i	0.0410009	−	0.0318736i
$583$	0.0553166	−	0.0229129i	0.00229098	−	0.000948955i
$584$	5.75770	−	44.6100i	0.238255	−	1.84597i
$585$	4.57002	−	3.27483i	0.188947	−	0.135398i
$586$	−7.45587	+	30.5818i	−0.307999	+	1.26332i
$587$	−4.76150	+	7.12609i	−0.196528	+	0.294125i	−0.916625	−	0.399749i	$-0.869097\pi$
$587$	−4.76150	+	7.12609i	−0.196528	+	0.294125i	0.720097	+	0.693874i	$0.244097\pi$
$588$	6.84737	−	10.9197i	0.282381	−	0.450321i
$589$	3.33625	+	0.663621i	0.137468	+	0.0273440i
$590$	−15.6424	−	0.669683i	−0.643986	−	0.0275704i
$591$	5.30733	+	1.51559i	0.218314	+	0.0623430i
$592$	34.0331	−	0.858004i	1.39875	−	0.0352638i
$593$	−8.20538	+	8.20538i	−0.336954	+	0.336954i	−0.855220	−	0.518265i	$-0.826578\pi$
$593$	−8.20538	+	8.20538i	−0.336954	+	0.336954i	0.518265	+	0.855220i	$0.326578\pi$
$594$	1.65487	+	1.99075i	0.0679002	+	0.0816815i
$595$	−16.2827	−	3.23883i	−0.667525	−	0.132779i
$596$	−7.77803	+	0.865173i	−0.318601	+	0.0354389i
$597$	−0.796081	+	9.70886i	−0.0325814	+	0.397357i
$598$	11.3772	−	6.91703i	0.465247	−	0.282858i
$599$	−37.4991	−	15.5326i	−1.53217	−	0.634646i	−0.552187	−	0.833720i	$-0.686207\pi$
$599$	−37.4991	−	15.5326i	−1.53217	−	0.634646i	−0.979984	+	0.199074i	$0.936207\pi$
$600$	3.14438	+	17.0350i	0.128369	+	0.695452i
$601$	1.67208	−	0.692599i	0.0682056	−	0.0282517i	−0.348320	−	0.937376i	$-0.613248\pi$
$601$	1.67208	−	0.692599i	0.0682056	−	0.0282517i	0.416525	+	0.909124i	$0.363248\pi$
$602$	6.63892	+	4.85921i	0.270582	+	0.198047i
$603$	−5.33391	+	14.1719i	−0.217214	+	0.577123i
$604$	26.2885	−	8.33775i	1.06967	−	0.339258i
$605$	−10.9416	+	7.31097i	−0.444841	+	0.297233i
$606$	23.6471	+	20.4757i	0.960596	+	0.831770i
$607$	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
$612$	−23.2251	−	39.0812i	−0.938820	−	1.57977i
$613$	−2.33457	−	11.7367i	−0.0942925	−	0.474040i	−0.998861	−	0.0477123i	$-0.984807\pi$
$613$	−2.33457	−	11.7367i	−0.0942925	−	0.474040i	0.904569	−	0.426328i	$-0.140193\pi$
$614$	7.61990	+	5.57722i	0.307514	+	0.225078i
$615$	6.58354	−	8.29520i	0.265474	−	0.334495i
$616$	0.122588	+	1.80021i	0.00493922	+	0.0725326i
$617$	−2.95975	+	7.14546i	−0.119155	+	0.287666i	−0.972192	−	0.234185i	$-0.924758\pi$
$617$	−2.95975	+	7.14546i	−0.119155	+	0.287666i	0.853037	+	0.521850i	$0.174758\pi$
$618$	−13.6328	+	23.9601i	−0.548390	+	0.963815i
$619$	−11.0577	+	16.5490i	−0.444447	+	0.665162i	−0.984281	−	0.176610i	$-0.943487\pi$
$619$	−11.0577	+	16.5490i	−0.444447	+	0.665162i	0.539834	+	0.841772i	$0.318487\pi$
$620$	11.2066	−	14.0117i	0.450067	−	0.562723i
$621$	−30.6388	−	7.67460i	−1.22949	−	0.307971i
$622$	−21.6431	−	23.5791i	−0.867807	−	0.945436i
$623$	−13.4226	−	13.4226i	−0.537765	−	0.537765i
$624$	7.14647	+	8.00507i	0.286088	+	0.320459i
$625$	3.66513	−	3.66513i	0.146605	−	0.146605i
$626$	−0.692879	−	0.0296636i	−0.0276930	−	0.00118560i
$627$	−0.0856356	−	0.266524i	−0.00341996	−	0.0106439i
$628$	8.92064	−	30.7995i	0.355972	−	1.22903i
$629$	53.6189	+	35.8270i	2.13793	+	1.42852i
$630$	−6.50679	−	6.63905i	−0.259237	−	0.264506i
$631$	9.44515	+	3.91231i	0.376006	+	0.155747i	0.562679	−	0.826675i	$-0.309771\pi$
$631$	9.44515	+	3.91231i	0.376006	+	0.155747i	−0.186674	+	0.982422i	$0.559771\pi$
$632$	−17.3604	−	9.96430i	−0.690561	−	0.396359i
$633$	−1.94930	+	2.45610i	−0.0774776	+	0.0976211i
$634$	−6.26136	+	0.969147i	−0.248670	+	0.0384897i
$635$	24.1940	−	4.81249i	0.960110	−	0.190978i
$636$	−0.550237	−	0.209460i	−0.0218183	−	0.00830562i
$637$	−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	$0.948327\pi$
$642$	2.75458	+	38.3248i	0.108715	+	1.51256i
$643$	−14.4944	−	21.6924i	−0.571604	−	0.855466i	0.427210	−	0.904152i	$-0.359497\pi$
$643$	−14.4944	−	21.6924i	−0.571604	−	0.855466i	−0.998814	+	0.0486863i	$0.984497\pi$
$644$	−14.1796	−	16.8406i	−0.558756	−	0.663612i
$645$	−5.13377	+	4.35568i	−0.202142	+	0.171505i
$646$	0.751973	+	4.85827i	0.0295860	+	0.191146i
$647$	−3.69489	−	8.92026i	−0.145261	−	0.350692i	0.834457	−	0.551074i	$-0.185782\pi$
$647$	−3.69489	−	8.92026i	−0.145261	−	0.350692i	−0.979718	+	0.200382i	$0.935782\pi$
$648$	1.60032	−	25.4055i	0.0628664	−	0.998022i
$649$	−1.23353	+	2.97800i	−0.0484202	+	0.116897i
$650$	1.83460	−	7.52500i	0.0719589	−	0.295155i
$651$	1.90043	−	23.1774i	0.0744839	−	0.908392i
$652$	−32.4396	−	9.39567i	−1.27043	−	0.367963i
$653$	6.19427	−	31.1407i	0.242401	−	1.21863i	−0.647354	−	0.762190i	$-0.724124\pi$
$653$	6.19427	−	31.1407i	0.242401	−	1.21863i	0.889754	−	0.456440i	$-0.150876\pi$
$654$	−16.5951	+	8.31421i	−0.648920	+	0.325111i
$655$	11.5723	+	11.5723i	0.452166	+	0.452166i
$656$	17.0843	+	10.8027i	0.667031	+	0.421774i
$657$	46.4622	−	10.8335i	1.81266	−	0.422654i
$658$	2.31246	−	2.12258i	0.0901490	−	0.0827470i
$659$	−5.78780	+	29.0972i	−0.225461	+	1.13347i	0.687740	+	0.725957i	$0.258603\pi$
$659$	−5.78780	+	29.0972i	−0.225461	+	1.13347i	−0.913201	+	0.407510i	$0.866397\pi$
$660$	−1.45594	−	0.246003i	−0.0566725	−	0.00957567i
$661$	−10.4672	−	6.99398i	−0.407128	−	0.272034i	0.335099	−	0.942183i	$-0.391230\pi$
$661$	−10.4672	−	6.99398i	−0.407128	−	0.272034i	−0.742227	+	0.670149i	$0.766230\pi$
$662$	−6.87282	+	4.17850i	−0.267120	+	0.162402i
$663$	2.32310	+	20.1937i	0.0902217	+	0.784258i
$664$	1.61890	+	23.7737i	0.0628257	+	0.922598i
$665$	0.384692	+	0.928729i	0.0149177	+	0.0360146i
$666$	13.4820	+	33.4977i	0.522416	+	1.29801i
$667$	−17.0771	+	3.39684i	−0.661226	+	0.131526i
$668$	−5.62248	−	2.91478i	−0.217540	−	0.112776i
$669$	9.30895	−	18.1230i	0.359905	−	0.700675i
$670$	−2.96088	−	8.11355i	−0.114389	−	0.313454i
$671$			4.68663i			0.180926i
$672$	11.2727	−	13.7017i	0.434852	−	0.528555i
$673$			14.2382i			0.548843i	0.961609	+	0.274422i	$0.0884864\pi$
$673$			14.2382i			0.548843i	−0.961609	+	0.274422i	$0.911514\pi$
$674$	31.1064	−	11.3517i	1.19817	−	0.437249i
$675$	−15.7595	+	9.44591i	−0.606585	+	0.363573i
$676$	6.40980	+	20.2098i	0.246531	+	0.777301i
$677$	29.4523	−	5.85843i	1.13194	−	0.225158i	0.406642	−	0.913588i	$-0.366700\pi$
$677$	29.4523	−	5.85843i	1.13194	−	0.225158i	0.725303	+	0.688430i	$0.241700\pi$
$678$	−0.164781	+	1.31564i	−0.00632836	+	0.0505270i
$679$	0.354449	+	0.855716i	0.0136025	+	0.0328394i
$680$	24.5753	+	8.27260i	0.942421	+	0.317240i
$681$	−3.90800	+	0.449580i	−0.149755	+	0.0172279i
$682$	−1.91895	−	3.15630i	−0.0734803	−	0.120861i
$683$	15.3354	+	10.2468i	0.586795	+	0.392084i	0.813230	−	0.581943i	$-0.197707\pi$
$683$	15.3354	+	10.2468i	0.586795	+	0.392084i	−0.226435	+	0.974026i	$0.572707\pi$
$684$	−1.18630	+	2.48401i	−0.0453592	+	0.0949785i
$685$	−1.73863	+	8.74071i	−0.0664298	+	0.333965i
$686$	18.5657	+	20.2265i	0.708843	+	0.772252i
$687$	39.3754	+	11.2442i	1.50227	+	0.428995i
$688$	−9.31258	−	8.85457i	−0.355039	−	0.337577i
$689$	0.186143	+	0.186143i	0.00709150	+	0.00709150i
$690$	16.1072	−	8.06978i	0.613191	−	0.307211i
$691$	−0.954311	+	4.79764i	−0.0363037	+	0.182511i	−0.994683	−	0.102989i	$-0.967159\pi$
$691$	−0.954311	+	4.79764i	−0.0363037	+	0.182511i	0.958379	+	0.285500i	$0.0921595\pi$
$692$	−22.3513	−	40.5779i	−0.849670	−	1.54254i
$693$	−1.74324	+	0.789854i	−0.0662204	+	0.0300041i
$694$	−31.8554	−	7.76636i	−1.20921	−	0.294807i
$695$	3.46623	−	8.36823i	0.131482	−	0.317425i
$696$	−5.19040	−	13.0375i	−0.196741	−	0.494185i
$697$	14.6523	+	35.3739i	0.554997	+	1.33988i
$698$	31.9868	−	4.95099i	1.21072	−	0.187398i
$699$	−21.6299	−	25.4939i	−0.818119	−	0.964266i
$700$	−12.7596	−	1.09454i	−0.482269	−	0.0413697i
$701$	6.98329	+	10.4512i	0.263755	+	0.394738i	0.939583	−	0.342322i	$-0.111213\pi$
$701$	6.98329	+	10.4512i	0.263755	+	0.394738i	−0.675827	+	0.737060i	$0.736213\pi$
$702$	−5.30202	+	10.0715i	−0.200112	+	0.380126i
$703$		−	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
$708$	28.9197	−	12.9725i	1.08687	−	0.487538i
$709$	−5.46150	+	1.08636i	−0.205111	+	0.0407991i	−0.296576	−	0.955009i	$-0.595845\pi$
$709$	−5.46150	+	1.08636i	−0.205111	+	0.0407991i	0.0914654	+	0.995808i	$0.470845\pi$
$710$	1.53347	+	9.90729i	0.0575502	+	0.371814i
$711$	3.45843	−	20.9474i	0.129701	−	0.785590i
$712$	18.1088	+	23.4761i	0.678657	+	0.879804i
$713$	41.6379	+	17.2470i	1.55935	+	0.645904i
$714$	32.4084	−	8.90307i	1.21285	−	0.333189i
$715$	0.548946	+	0.366794i	0.0205294	+	0.0137173i
$716$	18.2029	+	33.0465i	0.680273	+	1.23501i
$717$	−39.2544	+	12.6127i	−1.46598	+	0.471029i
$718$	0.985690	−	23.0236i	0.0367856	−	0.859234i
$719$	8.51084	−	8.51084i	0.317401	−	0.317401i	−0.530367	−	0.847768i	$-0.677946\pi$
$719$	8.51084	−	8.51084i	0.317401	−	0.317401i	0.847768	+	0.530367i	$0.177946\pi$
$720$	8.75205	+	11.5852i	0.326170	+	0.431756i
$721$	−14.4107	−	14.4107i	−0.536684	−	0.536684i
$722$	−19.5760	+	17.9686i	−0.728543	+	0.668723i
$723$	−5.66036	−	17.6168i	−0.210511	−	0.655174i
$724$	2.06590	−	0.229796i	0.0767784	−	0.00854028i
$725$	−5.62713	+	8.42159i	−0.208986	+	0.312770i
$726$	13.1746	−	23.1547i	0.488953	−	0.859353i
$727$	13.3478	−	32.2243i	0.495041	−	1.19513i	−0.457083	−	0.889424i	$-0.651106\pi$
$727$	13.3478	−	32.2243i	0.495041	−	1.19513i	0.952124	−	0.305711i	$-0.0988941\pi$
$728$	−7.10617	+	3.52686i	−0.263372	+	0.130714i
$729$	25.8374	−	7.83769i	0.956940	−	0.290285i
$730$	−16.0721	+	21.9586i	−0.594855	+	0.812723i
$731$	−4.74874	−	23.8735i	−0.175638	−	0.882994i
$732$	31.6294	−	33.5169i	1.16906	−	1.23882i
$733$	10.7811	+	16.1350i	0.398208	+	0.595961i	0.975345	−	0.220687i	$-0.0708299\pi$
$733$	10.7811	+	16.1350i	0.398208	+	0.595961i	−0.577136	+	0.816648i	$0.695830\pi$
$734$	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
$738$	−4.39394	+	20.9842i	−0.161743	+	0.772440i
$739$	−16.0152	+	10.7010i	−0.589130	+	0.393644i	−0.814103	−	0.580721i	$-0.802771\pi$
$739$	−16.0152	+	10.7010i	−0.589130	+	0.393644i	0.224973	+	0.974365i	$0.427771\pi$
$740$	−18.2848	−	9.47913i	−0.672164	−	0.348460i
$741$	0.938530	−	0.796283i	0.0344778	−	0.0292522i
$742$	0.257076	−	0.351231i	0.00943755	−	0.0128941i
$743$	−25.1918	+	10.4348i	−0.924198	+	0.382815i	−0.793474	−	0.608604i	$-0.791730\pi$
$743$	−25.1918	+	10.4348i	−0.924198	+	0.382815i	−0.130723	+	0.991419i	$0.541730\pi$
$744$	−7.57783	+	35.5232i	−0.277817	+	1.30234i
$745$	4.37417	+	1.81184i	0.160257	+	0.0663808i
$746$	−5.05037	−	8.30687i	−0.184907	−	0.304136i
$747$	−23.0213	+	10.4308i	−0.842307	+	0.381644i
$748$	3.33442	−	4.16905i	0.121919	−	0.152436i
$749$	−27.8603	−	5.54175i	−1.01799	−	0.202491i
$750$	7.98093	−	24.0070i	0.291422	−	0.876612i
$751$	16.9708	−	16.9708i	0.619274	−	0.619274i	−0.326072	−	0.945345i	$-0.605725\pi$
$751$	16.9708	−	16.9708i	0.619274	−	0.619274i	0.945345	+	0.326072i	$0.105725\pi$
$752$	−4.00652	+	2.82568i	−0.146103	+	0.103042i
$753$	0.0377292	−	0.132121i	0.00137493	−	0.00481476i
$754$	−0.268372	+	6.26860i	−0.00977353	+	0.228289i
$755$	−16.3642	−	3.25504i	−0.595554	−	0.118463i
$756$	17.7976	+	6.11617i	0.647291	+	0.222443i
$757$	−5.99152	+	8.96695i	−0.217766	+	0.325909i	−0.924228	−	0.381842i	$-0.875290\pi$
$757$	−5.99152	+	8.96695i	−0.217766	+	0.325909i	0.706462	+	0.707751i	$0.250290\pi$
$758$	29.1698	+	7.11163i	1.05950	+	0.258306i
$759$	−0.423893	−	3.68472i	−0.0153863	−	0.133747i
$760$	−0.410228	−	1.51557i	−0.0148805	−	0.0549756i
$761$	−36.4626	+	15.1033i	−1.32177	+	0.547494i	−0.928295	−	0.371843i	$-0.878726\pi$
$761$	−36.4626	+	15.1033i	−1.32177	+	0.547494i	−0.393471	+	0.919337i	$0.628726\pi$
$762$	−39.4268	+	30.6499i	−1.42828	+	1.11033i
$763$	−2.67706	−	13.4585i	−0.0969160	−	0.487230i
$764$	−21.6943	−	25.7655i	−0.784872	−	0.932162i
$765$	0.899885	+	27.4886i	0.0325354	+	0.993851i
$766$	8.38925	−	18.0307i	0.303116	−	0.651475i
$767$	−14.1720			−0.511722
$768$	−20.2015	+	18.9710i	−0.728958	+	0.684558i
$769$	−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
$771$	−18.5919	−	9.54981i	−0.669571	−	0.343928i
$772$	14.1972	+	16.8615i	0.510968	+	0.606857i
$773$	−2.31520	−	11.6393i	−0.0832719	−	0.418636i	−0.999825	−	0.0187226i	$-0.994040\pi$
$773$	−2.31520	−	11.6393i	−0.0832719	−	0.418636i	0.916553	−	0.399914i	$-0.130960\pi$
$774$	5.34228	−	12.5391i	0.192024	−	0.450708i
$775$	24.2213	−	10.0328i	0.870054	−	0.360388i
$776$	−0.377978	−	1.39642i	−0.0135686	−	0.0501287i
$777$	−26.5200	+	3.05088i	−0.951399	+	0.109450i
$778$	11.0499	+	2.69397i	0.396158	+	0.0965836i
$779$	1.28804	−	1.92768i	0.0461487	−	0.0690664i
$780$	−1.45040	−	6.32791i	−0.0519326	−	0.226576i
$781$	2.02432	+	0.402662i	0.0724359	+	0.0144084i
$782$	−2.78599	+	65.0749i	−0.0996270	+	2.32707i
$783$	11.0283	−	9.99544i	0.394118	−	0.357208i
$784$	−8.57777	−	12.1624i	−0.306349	−	0.434371i
$785$	−13.7171	+	13.7171i	−0.489584	+	0.489584i
$786$	−31.4395	−	10.4518i	−1.12141	−	0.372803i
$787$	−33.6448	−	6.69236i	−1.19931	−	0.238557i	−0.445274	−	0.895394i	$-0.646894\pi$
$787$	−33.6448	−	6.69236i	−1.19931	−	0.238557i	−0.754032	+	0.656838i	$0.771894\pi$
$788$	3.98081	−	4.97724i	0.141810	−	0.177307i
$789$	29.7646	+	2.44056i	1.05965	+	0.0868861i
$790$	6.29098	+	10.3474i	0.223823	+	0.368145i
$791$	−0.905621	−	0.375121i	−0.0322002	−	0.0133378i
$792$	2.85831	−	0.875000i	0.101566	−	0.0310918i
$793$	−19.0370	+	7.88539i	−0.676024	+	0.280018i
$794$	12.8140	−	17.5072i	0.454754	−	0.621309i
$795$	0.230437	+	0.271601i	0.00817274	+	0.00963271i
$796$	9.98629	+	5.17704i	0.353955	+	0.183495i
$797$	34.9964	−	23.3838i	1.23964	−	0.828298i	0.249495	−	0.968376i	$-0.419735\pi$
$797$	34.9964	−	23.3838i	1.23964	−	0.828298i	0.990140	+	0.140078i	$0.0447354\pi$
$798$	−1.53847	−	1.33214i	−0.0544612	−	0.0471574i
$799$	−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
$804$	12.7166	+	12.0005i	0.448480	+	0.423224i
$805$	2.59835	+	13.0628i	0.0915800	+	0.460404i
$806$	9.59213	−	13.1053i	0.337868	−	0.461614i
$807$	−7.28418	−	5.78114i	−0.256415	−	0.203506i
$808$	32.3535	−	16.0573i	1.13819	−	0.564895i
$809$	−20.2858	+	48.9743i	−0.713212	+	1.72185i	−0.0213976	+	0.999771i	$0.506812\pi$
$809$	−20.2858	+	48.9743i	−0.713212	+	1.72185i	−0.691814	+	0.722075i	$0.743188\pi$
$810$	−8.26355	+	12.9955i	−0.290351	+	0.456614i
$811$	−6.04781	+	9.05118i	−0.212367	+	0.317830i	−0.922326	−	0.386414i	$-0.873714\pi$
$811$	−6.04781	+	9.05118i	−0.212367	+	0.317830i	0.709958	+	0.704244i	$0.248714\pi$
$812$	10.3106	−	1.14688i	0.361831	−	0.0402475i
$813$	25.6070	−	8.22766i	0.898075	−	0.288557i
$814$	−3.12379	+	2.86730i	−0.109489	+	0.100499i
$815$	14.4475	+	14.4475i	0.506075	+	0.506075i
$816$	−51.9827	+	7.31187i	−1.81976	+	0.255967i
$817$	−1.04220	+	1.04220i	−0.0364618	+	0.0364618i
$818$	−1.09583	+	25.5962i	−0.0383147	+	0.894950i
$819$	−6.14142	−	5.75207i	−0.214599	−	0.200994i
$820$	−5.89996	−	10.7111i	−0.206036	−	0.374049i
$821$	25.8554	+	17.2760i	0.902359	+	0.602937i	0.917843	−	0.396943i	$-0.129929\pi$
$821$	25.8554	+	17.2760i	0.902359	+	0.602937i	−0.0154846	+	0.999880i	$0.504929\pi$
$822$	−4.77926	−	17.3972i	−0.166696	−	0.606796i
$823$	−1.55374	−	0.643579i	−0.0541598	−	0.0224337i	0.355439	−	0.934699i	$-0.384331\pi$
$823$	−1.55374	−	0.643579i	−0.0541598	−	0.0224337i	−0.409599	+	0.912266i	$0.634331\pi$
$824$	19.4420	+	25.2044i	0.677293	+	0.878035i
$825$	−1.69001	−	1.34129i	−0.0588385	−	0.0466976i
$826$	3.58424	+	23.1567i	0.124712	+	0.805725i
$827$	2.28456	−	0.454428i	0.0794420	−	0.0158020i	−0.155209	−	0.987882i	$-0.549605\pi$
$827$	2.28456	−	0.454428i	0.0794420	−	0.0158020i	0.234651	+	0.972080i	$0.424605\pi$
$828$	−21.8361	+	29.2124i	−0.758856	+	1.01520i
$829$	11.9451	−	7.98144i	0.414870	−	0.277207i	−0.330568	−	0.943782i	$-0.607240\pi$
$829$	11.9451	−	7.98144i	0.414870	−	0.277207i	0.745438	+	0.666575i	$0.232240\pi$
$830$	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
$834$	1.31456	+	18.2896i	0.0455194	+	0.633317i
$835$	2.12861	+	3.18569i	0.0736636	+	0.110245i
$836$	−0.322068	−	0.0276275i	−0.0111390	−	0.000955516i
$837$	−38.1088	+	5.65292i	−1.31723	+	0.195393i
$838$	49.5468	−	7.66896i	1.71157	−	0.264920i
$839$	3.17277	+	7.65974i	0.109536	+	0.264443i	0.969137	−	0.246522i	$-0.0792879\pi$
$839$	3.17277	+	7.65974i	0.109536	+	0.264443i	−0.859601	+	0.510966i	$0.829288\pi$
$840$	−9.97282	+	3.97031i	−0.344095	+	0.136989i
$841$	−7.95796	+	19.2122i	−0.274412	+	0.662490i
$842$	−15.6893	−	3.82506i	−0.540688	−	0.131820i
$843$	3.67060	+	0.300972i	0.126422	+	0.0103660i
$844$	1.74690	+	3.17142i	0.0601307	+	0.109165i
$845$	2.50237	−	12.5803i	0.0860843	−	0.432775i
$846$	−4.29446	−	2.93239i	−0.147646	−	0.100817i
$847$	13.9264	+	13.9264i	0.478516	+	0.478516i
$848$	−0.468450	+	0.492681i	−0.0160866	+	0.0169187i
$849$	13.0973	−	45.8647i	0.449500	−	1.57407i
$850$	25.6215	+	27.9134i	0.878810	+	0.957423i
$851$	10.0930	−	50.7407i	0.345982	−	1.73937i
$852$	−11.7596	−	16.5415i	−0.402877	−	0.566702i
$853$	12.0538	+	8.05408i	0.412714	+	0.275767i	0.744545	−	0.667572i	$-0.232666\pi$
$853$	12.0538	+	8.05408i	0.412714	+	0.275767i	−0.331831	+	0.943339i	$0.607666\pi$
$854$	17.6992	+	29.1117i	0.605653	+	0.996181i
$855$	1.35368	−	0.970032i	0.0462948	−	0.0331744i
$856$	42.0493	+	14.1547i	1.43722	+	0.483799i
$857$	−8.63427	−	20.8450i	−0.294941	−	0.712051i	−0.999996	−	0.00289804i	$-0.999078\pi$
$857$	−8.63427	−	20.8450i	−0.294941	−	0.712051i	0.705055	−	0.709153i	$-0.250922\pi$
$858$	−1.32620	−	0.166102i	−0.0452756	−	0.00567064i
$859$	−19.5472	+	3.88817i	−0.666940	+	0.132663i	−0.516938	−	0.856023i	$-0.672928\pi$
$859$	−19.5472	+	3.88817i	−0.666940	+	0.132663i	−0.150003	+	0.988686i	$0.547928\pi$
$860$	2.35028	+	7.41033i	0.0801439	+	0.252690i
$861$	−14.0986	−	7.24183i	−0.480481	−	0.246801i
$862$	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	$-0.166083\pi$
$864$	−26.3467	−	13.0327i	−0.896333	−	0.443381i
$865$			28.0266i			0.952933i
$866$	−4.59619	−	12.5947i	−0.156185	−	0.427986i
$867$	−62.2587	−	31.9794i	−2.11442	−	1.08608i
$868$	−23.8396	−	12.3588i	−0.809170	−	0.419486i
$869$	2.44522	−	0.486385i	0.0829485	−	0.0164995i
$870$	−1.05504	+	8.42368i	−0.0357693	+	0.285590i
$871$	−2.99179	−	7.22281i	−0.101373	−	0.244736i
$872$	1.45613	+	21.3833i	0.0493107	+	0.724129i
$873$	1.24726	−	0.893772i	0.0422132	−	0.0302496i
$874$	3.37001	−	2.04888i	0.113992	−	0.0693044i
$875$	15.5511	+	10.3909i	0.525722	+	0.351276i
$876$	9.17803	−	54.3191i	0.310097	−	1.83527i
$877$	1.86036	−	9.35264i	0.0628198	−	0.315816i	−0.936580	−	0.350453i	$-0.886028\pi$
$877$	1.86036	−	9.35264i	0.0628198	−	0.315816i	0.999400	+	0.0346371i	$0.0110275\pi$
$878$	−1.85811	+	1.70554i	−0.0627082	+	0.0575593i
$879$	−10.5859	+	37.0701i	−0.357055	+	1.25034i
$880$	−0.911220	+	1.44108i	−0.0307172	+	0.0485789i
$881$	−20.3432	−	20.3432i	−0.685378	−	0.685378i	0.275828	−	0.961207i	$-0.411048\pi$
$881$	−20.3432	−	20.3432i	−0.685378	−	0.685378i	−0.961207	+	0.275828i	$0.911048\pi$
$882$	8.90169	−	13.0365i	0.299736	−	0.438960i
$883$	−1.34107	+	6.74202i	−0.0451306	+	0.226887i	−0.996768	−	0.0803374i	$-0.974400\pi$
$883$	−1.34107	+	6.74202i	−0.0451306	+	0.226887i	0.951637	+	0.307224i	$0.0994002\pi$
$884$	22.5449	+	6.52980i	0.758266	+	0.219621i
$885$	−19.1113	−	1.56704i	−0.642420	−	0.0526754i
$886$	8.23902	−	33.7941i	0.276795	−	1.13533i
$887$	5.52752	−	13.3446i	0.185596	−	0.448068i	−0.803507	−	0.595296i	$-0.797035\pi$
$887$	5.52752	−	13.3446i	0.185596	−	0.448068i	0.989103	+	0.147227i	$0.0470349\pi$
$888$	41.6911	+	0.576236i	1.39906	+	0.0193372i
$889$	−14.1283	−	34.1088i	−0.473849	−	1.14397i
$890$	−2.74365	−	17.7259i	−0.0919674	−	0.594174i
$891$	1.93012	+	2.51538i	0.0646615	+	0.0842685i
$892$	−15.1526	−	17.9962i	−0.507348	−	0.602557i
$893$	0.312414	+	0.467561i	0.0104545	+	0.0156463i
$894$	−9.56019	+	0.687136i	−0.319741	+	0.0229813i
$895$		−	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
$900$	3.03411	+	20.9979i	0.101137	+	0.699931i
$901$	−1.26302	+	0.251231i	−0.0420774	+	0.00836972i
$902$	−2.48796	+	0.385092i	−0.0828401	+	0.0128222i
$903$	7.89259	+	6.26400i	0.262649	+	0.208453i
$904$	1.32787	+	0.762150i	0.0441641	+	0.0253487i
$905$	−1.16181	−	0.481237i	−0.0386198	−	0.0159969i
$906$	32.5707	−	8.94764i	1.08209	−	0.297265i
$907$	37.4759	+	25.0406i	1.24437	+	0.831460i	0.990731	−	0.135839i	$-0.0433731\pi$
$907$	37.4759	+	25.0406i	1.24437	+	0.831460i	0.253637	+	0.967299i	$0.418373\pi$
$908$	−1.26369	+	4.36302i	−0.0419369	+	0.144792i
$909$	27.9611	+	26.1884i	0.927412	+	0.868616i
$910$	4.79506	+	0.205287i	0.158955	+	0.00680519i
$911$	−19.2026	+	19.2026i	−0.636209	+	0.636209i	−0.949618	−	0.313409i	$-0.898529\pi$
$911$	−19.2026	+	19.2026i	−0.636209	+	0.636209i	0.313409	+	0.949618i	$0.398529\pi$
$912$	2.11684	+	2.37117i	0.0700957	+	0.0785172i
$913$	−2.09863	−	2.09863i	−0.0694545	−	0.0694545i
$914$	4.72279	+	5.14526i	0.156216	+	0.170190i
$915$	−26.5438	+	8.52867i	−0.877511	+	0.281949i
$916$	29.5338	−	36.9264i	0.975826	−	1.22008i
$917$	13.6079	−	20.3656i	0.449371	−	0.672532i
$918$	−26.5557	−	48.9379i	−0.876468	−	1.61519i
$919$	−12.2608	+	29.6001i	−0.404445	+	0.976417i	0.582128	+	0.813097i	$0.302220\pi$
$919$	−12.2608	+	29.6001i	−0.404445	+	0.976417i	−0.986573	+	0.163320i	$0.947780\pi$
$920$	−1.41332	−	20.7546i	−0.0465957	−	0.684259i
$921$	9.05882	+	7.18959i	0.298498	+	0.236905i
$922$	15.3850	+	11.2607i	0.506677	+	0.370851i
$923$	1.77037	+	8.90024i	0.0582724	+	0.292955i
$924$	0.0640017	+	2.20898i	0.00210550	+	0.0726701i
$925$	−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	$-0.457758\pi$
$929$	8.06603			0.264638			0.132319	+	0.991207i	$0.457758\pi$
$930$	14.3843	−	16.6122i	0.471680	−	0.544735i
$931$	−1.41935	+	0.948379i	−0.0465173	+	0.0310819i
$932$	−36.7990	+	11.6713i	−1.20539	+	0.382306i
$933$	−25.3603	−	29.8906i	−0.830259	−	0.978575i
$934$	3.32217	+	2.43159i	0.108705	+	0.0795642i
$935$	−2.98383	+	1.23594i	−0.0975816	+	0.0404196i
$936$	8.36342	+	10.1382i	0.273367	+	0.331377i
$937$	12.8079	+	5.30519i	0.418414	+	0.173313i	0.581950	−	0.813224i	$-0.302290\pi$
$937$	12.8079	+	5.30519i	0.418414	+	0.173313i	−0.163536	+	0.986537i	$0.552290\pi$
$938$	−11.0452	+	6.71522i	−0.360640	+	0.219260i
$939$	−0.846537	−	0.0694120i	−0.0276257	−	0.00226518i
$940$	2.94787	−	0.327900i	0.0961488	−	0.0106949i
$941$	25.8090	+	5.13374i	0.841351	+	0.167355i	0.596909	−	0.802309i	$-0.296395\pi$
$941$	25.8090	+	5.13374i	0.841351	+	0.167355i	0.244442	+	0.969664i	$0.421395\pi$
$942$	12.3889	−	37.2665i	0.403654	−	1.21421i
$943$	21.7202	−	21.7202i	0.707306	−	0.707306i
$944$	−0.922412	−	36.5878i	−0.0300219	−	1.19083i
$945$	−7.64584	−	8.43588i	−0.248719	−	0.274419i
$946$	1.59905	+	0.0684588i	0.0519896	+	0.00222579i
$947$	25.2874	+	5.02997i	0.821729	+	0.163452i	0.588011	−	0.808853i	$-0.299911\pi$
$947$	25.2874	+	5.02997i	0.821729	+	0.163452i	0.233717	+	0.972305i	$0.424911\pi$
$948$	−20.7698	−	13.0240i	−0.674570	−	0.423000i
$949$	−13.6846	+	20.4804i	−0.444219	+	0.664821i
$950$	0.543424	−	2.22897i	0.0176310	−	0.0723173i
$951$	−7.70904	+	0.886854i	−0.249983	+	0.0287582i
$952$	4.96770	−	38.4892i	0.161004	−	1.24744i
$953$	6.47370	−	2.68149i	0.209704	−	0.0868621i	−0.275359	−	0.961341i	$-0.588797\pi$
$953$	6.47370	−	2.68149i	0.209704	−	0.0868621i	0.485063	+	0.874479i	$0.338797\pi$
$954$	−0.663378	−	0.282633i	−0.0214777	−	0.00915057i
$955$	3.97538	+	19.9856i	0.128640	+	0.646719i
$956$	−4.06906	+	47.4352i	−0.131603	+	1.53416i
$957$	1.55469	+	0.798576i	0.0502561	+	0.0258143i
$958$	42.6005	+	19.8210i	1.37636	+	0.640388i
$959$	13.3380			0.430706
$960$	16.2423	−	4.15635i	0.524219	−	0.134146i
$961$	23.9718			0.773283
$962$	−16.9028	−	7.86447i	−0.544968	−	0.253561i
$963$	1.53974	+	47.0340i	0.0496174	+	1.51565i
$964$	−21.2881	−	1.82613i	−0.685645	−	0.0588156i
$965$	−2.60157	−	13.0790i	−0.0837476	−	0.421028i
$966$	−16.5485	−	21.2873i	−0.532439	−	0.684908i
$967$	51.4584	−	21.3148i	1.65479	−	0.685437i	0.657129	−	0.753778i	$-0.271771\pi$
$967$	51.4584	−	21.3148i	1.65479	−	0.685437i	0.997662	+	0.0683407i	$0.0217705\pi$
$968$	−18.7885	−	24.3572i	−0.603885	−	0.782870i
$969$	0.688121	+	5.98154i	0.0221056	+	0.192155i
$970$	−0.207304	+	0.850303i	−0.00665615	+	0.0273016i
$971$	−13.5697	+	20.3084i	−0.435471	+	0.651728i	−0.982689	−	0.185262i	$-0.940687\pi$
$971$	−13.5697	+	20.3084i	−0.435471	+	0.651728i	0.547218	+	0.836990i	$0.315687\pi$
$972$	3.17249	−	31.0151i	0.101758	−	0.994809i
$973$	−13.2957	−	2.64467i	−0.426239	−	0.0847842i
$974$	4.17556	+	0.178765i	0.133794	+	0.00572799i
$975$	2.60479	−	9.12152i	0.0834200	−	0.292123i
$976$	−21.5967	−	48.6345i	−0.691294	−	1.55675i
$977$	−12.7218	+	12.7218i	−0.407006	+	0.407006i	−0.880693	−	0.473687i	$-0.842923\pi$
$977$	−12.7218	+	12.7218i	−0.407006	+	0.407006i	0.473687	+	0.880693i	$0.342923\pi$
$978$	−39.2510	−	13.0487i	−1.25511	−	0.417250i
$979$	−3.62187	−	0.720434i	−0.115755	−	0.0230252i
$980$	0.995388	+	8.94868i	0.0317965	+	0.285855i
$981$	−20.7066	+	9.38204i	−0.661110	+	0.299545i
$982$	−16.4961	+	10.0292i	−0.526412	+	0.320045i
$983$	−12.7626	−	5.28643i	−0.407063	−	0.168611i	0.169750	−	0.985487i	$-0.445704\pi$
$983$	−12.7626	−	5.28643i	−0.407063	−	0.168611i	−0.576813	+	0.816876i	$0.695704\pi$
$984$	20.3918	+	14.0369i	0.650067	+	0.447478i
$985$	−3.56225	+	1.47553i	−0.113503	+	0.0470144i
$986$	−24.7678	−	18.1283i	−0.788767	−	0.577321i
$987$	2.93144	−	2.48714i	0.0933088	−	0.0791667i
$988$	−0.429666	−	1.35472i	−0.0136695	−	0.0430993i
$989$	−16.2368	+	10.8491i	−0.516299	+	0.344980i
$990$	−1.77004	−	0.370634i	−0.0562557	−	0.0117795i
$991$	−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
$996$	0.845209	+	29.1719i	0.0267815	+	0.924346i
$997$	−7.77599	−	39.0925i	−0.246268	−	1.23807i	−0.883880	−	0.467715i	$-0.845078\pi$
$997$	−7.77599	−	39.0925i	−0.246268	−	1.23807i	0.637612	−	0.770358i	$-0.279922\pi$
$998$	−40.9334	−	29.9603i	−1.29572	−	0.948377i
$999$	14.8987	+	41.6391i	0.471375	+	1.31740i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.59.11	✓	240	64.59	odd	16	inner
192.2.s.a.59.20	yes	240	192.59	even	16	inner
192.2.s.a.179.11	yes	240	3.2	odd	2	inner
192.2.s.a.179.20	yes	240	1.1	even	1	trivial
768.2.s.a.143.10		240	192.5	odd	16
768.2.s.a.143.30		240	64.5	even	16
768.2.s.a.623.10		240	4.3	odd	2
768.2.s.a.623.30		240	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(0.596586 - 1.28222i) q^{2} +(0.791381 - 1.54069i) q^{3} +(-1.28817 - 1.52991i) q^{4} +(0.236051 + 1.18671i) q^{5} +(-1.50337 - 1.93388i) q^{6} +(1.67303 - 0.692992i) q^{7} +(-2.73018 + 0.738993i) q^{8} +(-1.74743 - 2.43854i) q^{9} +O(q^{10})\)	\(q+(0.596586 - 1.28222i) q^{2} +(0.791381 - 1.54069i) q^{3} +(-1.28817 - 1.52991i) q^{4} +(0.236051 + 1.18671i) q^{5} +(-1.50337 - 1.93388i) q^{6} +(1.67303 - 0.692992i) q^{7} +(-2.73018 + 0.738993i) q^{8} +(-1.74743 - 2.43854i) q^{9} +(1.66245 + 0.405306i) q^{10} +(0.195719 - 0.292915i) q^{11} +(-3.37654 + 0.773926i) q^{12} +(1.51912 + 0.302171i) q^{13} +(0.109540 - 2.55862i) q^{14} +(2.01516 + 0.575458i) q^{15} +(-0.681239 + 3.94156i) q^{16} +(-5.35769 + 5.35769i) q^{17} +(-4.16924 + 0.785792i) q^{18} +(0.449975 + 0.0895056i) q^{19} +(1.51148 - 1.88982i) q^{20} +(0.256320 - 3.12604i) q^{21} +(-0.258817 - 0.425704i) q^{22} +(5.61589 + 2.32618i) q^{23} +(-1.02206 + 4.79118i) q^{24} +(3.26684 - 1.35317i) q^{25} +(1.29373 - 1.76757i) q^{26} +(-5.13991 + 0.762435i) q^{27} +(-3.21536 - 1.66689i) q^{28} +(-2.38167 + 1.59138i) q^{29} +(1.94008 - 2.24056i) 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} +(-1.47975 + 5.81467i) q^{36} +(-1.66041 - 8.34743i) q^{37} +(0.383215 - 0.523569i) q^{38} +(1.66775 - 2.10135i) q^{39} +(-1.52143 - 3.06549i) q^{40} +(1.93381 - 4.66864i) q^{41} +(-3.85534 - 2.19361i) q^{42} +(-1.78480 + 2.67114i) q^{43} +(-0.700253 + 0.0778912i) q^{44} +(2.48136 - 2.64932i) q^{45} +(6.33304 - 5.81304i) q^{46} +(0.866687 + 0.866687i) q^{47} +(5.53359 + 4.16885i) q^{48} +(-2.63096 + 2.63096i) q^{49} +(0.213893 - 4.99608i) q^{50} +(4.01455 + 12.4945i) q^{51} +(-1.49459 - 2.71336i) q^{52} +(0.141316 + 0.0944244i) q^{53} +(-2.08879 + 7.04535i) q^{54} +(0.393805 + 0.163119i) q^{55} +(-4.05556 + 3.12835i) q^{56} +(0.494002 - 0.622438i) q^{57} +(0.619627 + 4.00322i) q^{58} +(-8.97405 + 1.78505i) q^{59} +(-1.71546 - 3.82429i) 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} +(-0.860700 + 0.0618625i) q^{66} +(-2.80422 - 4.19682i) q^{67} +(15.0984 + 1.29516i) q^{68} +(8.02822 - 6.81144i) q^{69} +(3.06220 - 0.473973i) q^{70} +(2.24207 + 5.41285i) q^{71} +(6.57287 + 5.36632i) q^{72} +(-6.08575 + 14.6923i) q^{73} +(-11.6938 - 2.85096i) q^{74} +(0.500503 - 6.10404i) q^{75} +(-0.442709 - 0.803719i) q^{76} +(0.124457 - 0.625687i) q^{77} +(-1.69944 - 3.39206i) q^{78} +(5.00420 + 5.00420i) q^{79} +(-4.83830 + 0.121978i) q^{80} +(-2.89295 + 8.52237i) q^{81} +(-4.83253 - 5.26481i) q^{82} +(1.64358 - 8.26285i) q^{83} +(-5.11273 + 3.63472i) q^{84} +(-7.62272 - 5.09334i) q^{85} +(2.36020 + 3.88206i) q^{86} +(0.567013 + 4.92880i) q^{87} +(-0.317888 + 0.944346i) q^{88} +(-4.01147 - 9.68454i) q^{89} +(-1.91666 - 4.76219i) q^{90} +(2.75093 - 0.547194i) q^{91} +(-3.67538 - 11.5883i) q^{92} +(5.86753 - 11.4231i) q^{93} +(1.62834 - 0.594228i) q^{94} +0.555118i q^{95} +(8.64665 - 4.60820i) q^{96} +0.511477i q^{97} +(1.80387 + 4.94305i) q^{98} +(-1.05629 + 0.0345795i) 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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