LMFDB - Embedded newform 588.2.ba.a.187.27

Newspace parameters

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.ba (of order $42$, degree $12$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$336$
Relative dimension:	$28$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			187.27
Character	$\chi$	$=$	588.187
Dual form			588.2.ba.a.283.27

$q$-expansion

$f(q)$	$=$	$q+(1.40887 - 0.122812i) q^{2} +(0.988831 + 0.149042i) q^{3} +(1.96983 - 0.346052i) q^{4} +(-2.61791 + 1.02745i) q^{5} +(1.41144 + 0.0885414i) q^{6} +(2.63745 + 0.209446i) q^{7} +(2.73274 - 0.729461i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})$	\(q+(1.40887 - 0.122812i) q^{2} +(0.988831 + 0.149042i) q^{3} +(1.96983 - 0.346052i) q^{4} +(-2.61791 + 1.02745i) q^{5} +(1.41144 + 0.0885414i) q^{6} +(2.63745 + 0.209446i) q^{7} +(2.73274 - 0.729461i) q^{8} +(0.955573 + 0.294755i) q^{9} +(-3.56211 + 1.76906i) q^{10} +(0.0741409 + 0.240359i) q^{11} +(1.99941 - 0.0485979i) q^{12} +(1.99817 + 0.456069i) q^{13} +(3.74155 - 0.0288269i) q^{14} +(-2.74180 + 0.625798i) q^{15} +(3.76050 - 1.36333i) q^{16} +(0.553691 - 0.812116i) q^{17} +(1.38248 + 0.297917i) q^{18} +(-2.11045 + 3.65541i) q^{19} +(-4.80129 + 2.92984i) q^{20} +(2.57677 + 0.600198i) q^{21} +(0.133974 + 0.329529i) q^{22} +(-4.14505 - 6.07967i) q^{23} +(2.81094 - 0.314019i) q^{24} +(2.13251 - 1.97868i) q^{25} +(2.87118 + 0.397144i) q^{26} +(0.900969 + 0.433884i) q^{27} +(5.26782 - 0.500119i) q^{28} +(0.989785 - 0.476655i) q^{29} +(-3.78599 + 1.21839i) q^{30} +(4.36774 + 7.56514i) q^{31} +(5.13062 - 2.38259i) q^{32} +(0.0374892 + 0.248725i) q^{33} +(0.680342 - 1.21217i) q^{34} +(-7.11978 + 2.16154i) q^{35} +(1.98432 + 0.249941i) q^{36} +(0.541656 - 7.22789i) q^{37} +(-2.52443 + 5.40919i) q^{38} +(1.90788 + 0.748787i) q^{39} +(-6.40458 + 4.71742i) q^{40} +(-4.29173 - 3.42254i) q^{41} +(3.70405 + 0.529144i) q^{42} +(-4.26544 + 3.40157i) q^{43} +(0.229222 + 0.447811i) q^{44} +(-2.80445 + 0.210164i) q^{45} +(-6.58649 - 8.05641i) q^{46} +(-7.47808 - 6.93865i) q^{47} +(3.92169 - 0.787629i) q^{48} +(6.91226 + 1.10481i) q^{49} +(2.76143 - 3.04960i) q^{50} +(0.668547 - 0.720522i) q^{51} +(4.09389 + 0.206911i) q^{52} +(-0.250022 - 3.33632i) q^{53} +(1.32263 + 0.500637i) q^{54} +(-0.441051 - 0.553061i) q^{55} +(7.36025 - 1.35155i) q^{56} +(-2.63169 + 3.30004i) q^{57} +(1.33594 - 0.793103i) q^{58} +(-3.61541 + 9.21191i) q^{59} +(-5.18433 + 2.18152i) q^{60} +(-8.77846 - 0.657855i) q^{61} +(7.08266 + 10.1219i) q^{62} +(2.45854 + 0.977542i) q^{63} +(6.93577 - 3.98686i) q^{64} +(-5.69961 + 0.859078i) q^{65} +(0.0833637 + 0.345817i) q^{66} +(-3.02809 + 1.74827i) q^{67} +(0.809647 - 1.79134i) q^{68} +(-3.19262 - 6.62955i) q^{69} +(-9.76540 + 3.91973i) q^{70} +(1.80982 - 3.75813i) q^{71} +(2.82635 + 0.108438i) q^{72} +(-11.3963 - 12.2823i) q^{73} +(-0.124547 - 10.2497i) q^{74} +(2.40360 - 1.63875i) q^{75} +(-2.89228 + 7.93088i) q^{76} +(0.145201 + 0.649463i) q^{77} +(2.77992 + 0.820635i) q^{78} +(-7.19109 - 4.15178i) q^{79} +(-8.44387 + 7.43280i) q^{80} +(0.826239 + 0.563320i) q^{81} +(-6.46682 - 4.29484i) q^{82} +(0.432683 + 1.89571i) q^{83} +(5.28352 + 0.290594i) q^{84} +(-0.615101 + 2.69493i) q^{85} +(-5.59170 + 5.31622i) q^{86} +(1.04977 - 0.323812i) q^{87} +(0.377941 + 0.602757i) q^{88} +(-0.340395 + 1.10353i) q^{89} +(-3.92529 + 0.640513i) q^{90} +(5.17455 + 1.62137i) q^{91} +(-10.2689 - 10.5415i) q^{92} +(3.19143 + 8.13162i) q^{93} +(-11.3878 - 8.85726i) q^{94} +(1.76921 - 11.7379i) q^{95} +(5.42842 - 1.59130i) q^{96} -5.11450i q^{97} +(9.87417 + 0.707623i) q^{98} +0.251534i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9}+O(q^{10}) $ 336 * q - 28 * q^3 + 2 * q^7 - 6 * q^8 + 28 * q^9	$ 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9} + 41 q^{10} + 6 q^{11} + 52 q^{14} + 20 q^{16} - 6 q^{19} - 25 q^{20} + 4 q^{21} + 6 q^{22} + 9 q^{24} - 26 q^{25} - 18 q^{26} + 56 q^{27} + 5 q^{30} + 2 q^{31} + 15 q^{32} + 6 q^{33} + 44 q^{34} - 12 q^{35} + 16 q^{37} - 100 q^{38} + 8 q^{39} - 7 q^{40} - 7 q^{42} - 53 q^{44} - 10 q^{46} + 4 q^{47} + 8 q^{48} - 4 q^{49} - 114 q^{50} - 28 q^{52} - 4 q^{53} + q^{56} - 12 q^{57} + 27 q^{58} - 10 q^{59} - 7 q^{60} + 2 q^{61} - 16 q^{62} - 12 q^{63} - 84 q^{64} - 4 q^{65} + 21 q^{66} + 42 q^{67} + 26 q^{68} - 70 q^{70} + 28 q^{71} + 15 q^{72} + 18 q^{73} + 20 q^{74} + 54 q^{75} + 49 q^{76} - 8 q^{77} - 6 q^{78} - 6 q^{79} - 40 q^{80} + 28 q^{81} - 99 q^{82} + 10 q^{83} + 54 q^{84} + 24 q^{85} - 314 q^{86} - 40 q^{88} + 20 q^{90} - 34 q^{91} + 14 q^{92} - 2 q^{93} - 152 q^{94} - 24 q^{95} - 10 q^{96} - 156 q^{98}+O(q^{100}) $ 336 * q - 28 * q^3 + 2 * q^7 - 6 * q^8 + 28 * q^9 + 41 * q^10 + 6 * q^11 + 52 * q^14 + 20 * q^16 - 6 * q^19 - 25 * q^20 + 4 * q^21 + 6 * q^22 + 9 * q^24 - 26 * q^25 - 18 * q^26 + 56 * q^27 + 5 * q^30 + 2 * q^31 + 15 * q^32 + 6 * q^33 + 44 * q^34 - 12 * q^35 + 16 * q^37 - 100 * q^38 + 8 * q^39 - 7 * q^40 - 7 * q^42 - 53 * q^44 - 10 * q^46 + 4 * q^47 + 8 * q^48 - 4 * q^49 - 114 * q^50 - 28 * q^52 - 4 * q^53 + q^56 - 12 * q^57 + 27 * q^58 - 10 * q^59 - 7 * q^60 + 2 * q^61 - 16 * q^62 - 12 * q^63 - 84 * q^64 - 4 * q^65 + 21 * q^66 + 42 * q^67 + 26 * q^68 - 70 * q^70 + 28 * q^71 + 15 * q^72 + 18 * q^73 + 20 * q^74 + 54 * q^75 + 49 * q^76 - 8 * q^77 - 6 * q^78 - 6 * q^79 - 40 * q^80 + 28 * q^81 - 99 * q^82 + 10 * q^83 + 54 * q^84 + 24 * q^85 - 314 * q^86 - 40 * q^88 + 20 * q^90 - 34 * q^91 + 14 * q^92 - 2 * q^93 - 152 * q^94 - 24 * q^95 - 10 * q^96 - 156 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{23}{42}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	1.40887	−	0.122812i	0.996222	−	0.0868410i
$2$	1.40887	−	0.122812i	0.996222	−	0.0868410i
$3$	0.988831	+	0.149042i	0.570902	+	0.0860496i
$3$	0.988831	+	0.149042i	0.570902	+	0.0860496i
$4$	1.96983	−	0.346052i	0.984917	−	0.173026i
$5$	−2.61791	+	1.02745i	−1.17076	+	0.459491i	−0.869443	−	0.494033i	$-0.835522\pi$
$5$	−2.61791	+	1.02745i	−1.17076	+	0.459491i	−0.301319	+	0.953523i	$0.597427\pi$
$6$	1.41144	+	0.0885414i	0.576218	+	0.0361469i
$7$	2.63745	+	0.209446i	0.996862	+	0.0791632i
$7$	2.63745	+	0.209446i	0.996862	+	0.0791632i
$8$	2.73274	−	0.729461i	0.966171	−	0.257903i
$9$	0.955573	+	0.294755i	0.318524	+	0.0982517i
$10$	−3.56211	+	1.76906i	−1.12644	+	0.559425i
$11$	0.0741409	+	0.240359i	0.0223543	+	0.0724710i	0.966063	−	0.258308i	$-0.0831648\pi$
$11$	0.0741409	+	0.240359i	0.0223543	+	0.0724710i	−0.943708	+	0.330779i	$0.892689\pi$
$12$	1.99941	−	0.0485979i	0.577180	−	0.0140290i
$13$	1.99817	+	0.456069i	0.554193	+	0.126491i	0.490440	−	0.871475i	$-0.336836\pi$
$13$	1.99817	+	0.456069i	0.554193	+	0.126491i	0.0637526	+	0.997966i	$0.479693\pi$
$14$	3.74155	−	0.0288269i	0.999970	−	0.00770432i
$15$	−2.74180	+	0.625798i	−0.707929	+	0.161580i
$16$	3.76050	−	1.36333i	0.940124	−	0.340832i
$17$	0.553691	−	0.812116i	0.134290	−	0.196967i	−0.753203	−	0.657788i	$-0.771492\pi$
$17$	0.553691	−	0.812116i	0.134290	−	0.196967i	0.887493	+	0.460821i	$0.152445\pi$
$18$	1.38248	+	0.297917i	0.325853	+	0.0702196i
$19$	−2.11045	+	3.65541i	−0.484171	+	0.838609i	−0.999835	−	0.0181822i	$-0.994212\pi$
$19$	−2.11045	+	3.65541i	−0.484171	+	0.838609i	0.515664	+	0.856791i	$0.327545\pi$
$20$	−4.80129	+	2.92984i	−1.07360	+	0.655132i
$21$	2.57677	+	0.600198i	0.562298	+	0.130974i
$22$	0.133974	+	0.329529i	0.0285633	+	0.0702559i
$23$	−4.14505	−	6.07967i	−0.864302	−	1.26770i	−0.962156	−	0.272498i	$-0.912150\pi$
$23$	−4.14505	−	6.07967i	−0.864302	−	1.26770i	0.0978540	−	0.995201i	$-0.468802\pi$
$24$	2.81094	−	0.314019i	0.573781	−	0.0640988i
$25$	2.13251	−	1.97868i	0.426502	−	0.395736i
$26$	2.87118	+	0.397144i	0.563084	+	0.0778864i
$27$	0.900969	+	0.433884i	0.173392	+	0.0835010i
$28$	5.26782	−	0.500119i	0.995524	−	0.0945136i
$29$	0.989785	−	0.476655i	0.183798	−	0.0885127i	−0.339722	−	0.940526i	$-0.610333\pi$
$29$	0.989785	−	0.476655i	0.183798	−	0.0885127i	0.523520	+	0.852013i	$0.324619\pi$
$30$	−3.78599	+	1.21839i	−0.691223	+	0.222447i
$31$	4.36774	+	7.56514i	0.784469	+	1.35874i	0.929316	+	0.369285i	$0.120398\pi$
$31$	4.36774	+	7.56514i	0.784469	+	1.35874i	−0.144847	+	0.989454i	$0.546269\pi$
$32$	5.13062	−	2.38259i	0.906974	−	0.421186i
$33$	0.0374892	+	0.248725i	0.00652603	+	0.0432974i
$34$	0.680342	−	1.21217i	0.116678	−	0.207885i
$35$	−7.11978	+	2.16154i	−1.20346	+	0.365367i
$36$	1.98432	+	0.249941i	0.330720	+	0.0416569i
$37$	0.541656	−	7.22789i	0.0890476	−	1.18826i	−0.756367	−	0.654147i	$-0.773028\pi$
$37$	0.541656	−	7.22789i	0.0890476	−	1.18826i	0.845415	−	0.534111i	$-0.179353\pi$
$38$	−2.52443	+	5.40919i	−0.409516	+	0.877487i
$39$	1.90788	+	0.748787i	0.305505	+	0.119902i
$40$	−6.40458	+	4.71742i	−1.01265	+	0.745890i
$41$	−4.29173	−	3.42254i	−0.670256	−	0.534511i	0.228178	−	0.973619i	$-0.426723\pi$
$41$	−4.29173	−	3.42254i	−0.670256	−	0.534511i	−0.898434	+	0.439108i	$0.855294\pi$
$42$	3.70405	+	0.529144i	0.571548	+	0.0816486i
$43$	−4.26544	+	3.40157i	−0.650473	+	0.518735i	−0.892218	−	0.451605i	$-0.850852\pi$
$43$	−4.26544	+	3.40157i	−0.650473	+	0.518735i	0.241745	+	0.970340i	$0.422280\pi$
$44$	0.229222	+	0.447811i	0.0345565	+	0.0675100i
$45$	−2.80445	+	0.210164i	−0.418062	+	0.0313294i
$46$	−6.58649	−	8.05641i	−0.971125	−	1.18785i
$47$	−7.47808	−	6.93865i	−1.09079	−	1.01211i	−0.999868	−	0.0162479i	$-0.994828\pi$
$47$	−7.47808	−	6.93865i	−1.09079	−	1.01211i	−0.0909227	−	0.995858i	$-0.528982\pi$
$48$	3.92169	−	0.787629i	0.566047	−	0.113684i
$49$	6.91226	+	1.10481i	0.987466	+	0.157829i
$50$	2.76143	−	3.04960i	0.390525	−	0.431279i
$51$	0.668547	−	0.720522i	0.0936153	−	0.100893i
$52$	4.09389	+	0.206911i	0.567720	+	0.0286934i
$53$	−0.250022	−	3.33632i	−0.0343432	−	0.458278i	−0.987692	−	0.156409i	$-0.950008\pi$
$53$	−0.250022	−	3.33632i	−0.0343432	−	0.458278i	0.953349	−	0.301870i	$-0.0976107\pi$
$54$	1.32263	+	0.500637i	0.179988	+	0.0681280i
$55$	−0.441051	−	0.553061i	−0.0594713	−	0.0745747i
$56$	7.36025	−	1.35155i	0.983555	−	0.180609i
$57$	−2.63169	+	3.30004i	−0.348576	+	0.437101i
$58$	1.33594	−	0.793103i	0.175418	−	0.104140i
$59$	−3.61541	+	9.21191i	−0.470686	+	1.19929i	0.476663	+	0.879086i	$0.341846\pi$
$59$	−3.61541	+	9.21191i	−0.470686	+	1.19929i	−0.947349	+	0.320203i	$0.896249\pi$
$60$	−5.18433	+	2.18152i	−0.669294	+	0.281633i
$61$	−8.77846	−	0.657855i	−1.12397	−	0.0842297i	−0.500251	−	0.865881i	$-0.666759\pi$
$61$	−8.77846	−	0.657855i	−1.12397	−	0.0842297i	−0.623716	+	0.781651i	$0.714378\pi$
$62$	7.08266	+	10.1219i	0.899499	+	1.28548i
$63$	2.45854	+	0.977542i	0.309747	+	0.123159i
$64$	6.93577	−	3.98686i	0.866972	−	0.498357i
$65$	−5.69961	+	0.859078i	−0.706950	+	0.106556i
$66$	0.0833637	+	0.345817i	0.0102614	+	0.0425671i
$67$	−3.02809	+	1.74827i	−0.369940	+	0.213585i	−0.673432	−	0.739249i	$-0.735181\pi$
$67$	−3.02809	+	1.74827i	−0.369940	+	0.213585i	0.303492	+	0.952834i	$0.401847\pi$
$68$	0.809647	−	1.79134i	0.0981841	−	0.217232i
$69$	−3.19262	−	6.62955i	−0.384347	−	0.798104i
$70$	−9.76540	+	3.91973i	−1.16719	+	0.468497i
$71$	1.80982	−	3.75813i	0.214786	−	0.446009i	−0.765541	−	0.643387i	$-0.777529\pi$
$71$	1.80982	−	3.75813i	0.214786	−	0.446009i	0.980327	+	0.197379i	$0.0632428\pi$
$72$	2.82635	+	0.108438i	0.333088	+	0.0127795i
$73$	−11.3963	−	12.2823i	−1.33384	−	1.43753i	−0.810930	−	0.585143i	$-0.801038\pi$
$73$	−11.3963	−	12.2823i	−1.33384	−	1.43753i	−0.522906	−	0.852391i	$-0.675152\pi$
$74$	−0.124547	−	10.2497i	−0.0144782	−	1.19150i
$75$	2.40360	−	1.63875i	0.277544	−	0.189226i
$76$	−2.89228	+	7.93088i	−0.331767	+	0.909734i
$77$	0.145201	+	0.649463i	0.0165471	+	0.0740132i
$78$	2.77992	+	0.820635i	0.314763	+	0.0929186i
$79$	−7.19109	−	4.15178i	−0.809061	−	0.467111i	0.0375690	−	0.999294i	$-0.488039\pi$
$79$	−7.19109	−	4.15178i	−0.809061	−	0.467111i	−0.846630	+	0.532183i	$0.821372\pi$
$80$	−8.44387	+	7.43280i	−0.944053	+	0.831012i
$81$	0.826239	+	0.563320i	0.0918043	+	0.0625911i
$82$	−6.46682	−	4.29484i	−0.714141	−	0.474286i
$83$	0.432683	+	1.89571i	0.0474932	+	0.208081i	0.993107	−	0.117210i	$-0.0373949\pi$
$83$	0.432683	+	1.89571i	0.0474932	+	0.208081i	−0.945614	+	0.325291i	$0.894538\pi$
$84$	5.28352	+	0.290594i	0.576479	+	0.0317064i
$85$	−0.615101	+	2.69493i	−0.0667171	+	0.292307i
$86$	−5.59170	+	5.31622i	−0.602969	+	0.573263i
$87$	1.04977	−	0.323812i	0.112547	−	0.0347163i
$88$	0.377941	+	0.602757i	0.0402886	+	0.0642541i
$89$	−0.340395	+	1.10353i	−0.0360818	+	0.116974i	−0.971822	−	0.235715i	$-0.924257\pi$
$89$	−0.340395	+	1.10353i	−0.0360818	+	0.116974i	0.935740	+	0.352690i	$0.114733\pi$
$90$	−3.92529	+	0.640513i	−0.413762	+	0.0675160i
$91$	5.17455	+	1.62137i	0.542440	+	0.169966i
$92$	−10.2689	−	10.5415i	−1.07061	−	1.09903i
$93$	3.19143	+	8.13162i	0.330936	+	0.843210i
$94$	−11.3878	−	8.85726i	−1.17456	−	0.913557i
$95$	1.76921	−	11.7379i	0.181517	−	1.20428i
$96$	5.42842	−	1.59130i	0.554036	−	0.162411i
$97$		−	5.11450i		−	0.519299i	−0.965703	−	0.259650i	$-0.916393\pi$
$97$		−	5.11450i		−	0.519299i	0.965703	−	0.259650i	$-0.0836070\pi$
$98$	9.87417	+	0.707623i	0.997442	+	0.0714807i
$99$			0.251534i			0.0252801i
$100$	3.51597	−	4.63563i	0.351597	−	0.463563i
$101$	−0.769953	+	5.10830i	−0.0766131	+	0.508295i	0.917306	+	0.398183i	$0.130359\pi$
$101$	−0.769953	+	5.10830i	−0.0766131	+	0.508295i	−0.993919	+	0.110112i	$0.964879\pi$
$102$	0.853408	−	1.09723i	0.0845000	−	0.108642i
$103$	0.177639	+	0.452617i	0.0175033	+	0.0445976i	0.939358	−	0.342937i	$-0.111422\pi$
$103$	0.177639	+	0.452617i	0.0175033	+	0.0445976i	−0.921855	+	0.387535i	$0.873327\pi$
$104$	5.79317	−	0.211266i	0.568067	−	0.0207164i
$105$	−7.36242	+	1.07625i	−0.718499	+	0.105031i
$106$	−0.761988	−	4.66973i	−0.0740108	−	0.453564i
$107$	−5.22779	+	16.9481i	−0.505389	+	1.63843i	0.239245	+	0.970959i	$0.423100\pi$
$107$	−5.22779	+	16.9481i	−0.505389	+	1.63843i	−0.744634	+	0.667473i	$0.767376\pi$
$108$	1.92491	+	0.542898i	0.185224	+	0.0522403i
$109$	6.35864	−	1.96138i	0.609047	−	0.187866i	0.0251365	−	0.999684i	$-0.491998\pi$
$109$	6.35864	−	1.96138i	0.609047	−	0.187866i	0.583911	+	0.811818i	$0.301522\pi$
$110$	−0.689307	−	0.725025i	−0.0657228	−	0.0691284i
$111$	1.61287	−	7.06643i	0.153087	−	0.670716i
$112$	10.2037	−	2.80809i	0.964155	−	0.265339i
$113$	4.63127	+	20.2909i	0.435673	+	1.90881i	0.416824	+	0.908987i	$0.363143\pi$
$113$	4.63127	+	20.2909i	0.435673	+	1.90881i	0.0188494	+	0.999822i	$0.494000\pi$
$114$	−3.30243	+	4.97253i	−0.309301	+	0.465720i
$115$	17.0979	+	11.6572i	1.59439	+	1.08704i
$116$	1.78477	−	1.28145i	0.165711	−	0.118980i
$117$	1.77497	+	1.02478i	0.164096	+	0.0947408i
$118$	−3.96232	+	13.4224i	−0.364761	+	1.23563i
$119$	1.63043	−	2.02595i	0.149461	−	0.185718i
$120$	−7.03614	+	3.71018i	−0.642309	+	0.338691i
$121$	9.03635	−	6.16088i	0.821486	−	0.560080i
$122$	−12.4485	+	0.151265i	−1.12704	+	0.0136949i
$123$	−3.73369	−	4.02396i	−0.336656	−	0.362829i
$124$	11.2216	+	13.3906i	1.00773	+	1.20251i
$125$	2.55137	−	5.29797i	0.228201	−	0.473865i
$126$	3.58382	+	1.07529i	0.319272	+	0.0957948i
$127$	−0.457671	−	0.950364i	−0.0406118	−	0.0843312i	0.879676	−	0.475574i	$-0.157760\pi$
$127$	−0.457671	−	0.950364i	−0.0406118	−	0.0843312i	−0.920288	+	0.391243i	$0.872045\pi$
$128$	9.28198	−	6.46876i	0.820419	−	0.571763i
$129$	−4.72478	+	2.72785i	−0.415993	+	0.240174i
$130$	−7.92451	+	1.91031i	−0.695026	+	0.167545i
$131$	14.2519	−	2.14813i	1.24520	−	0.187683i	0.506808	−	0.862059i	$-0.330825\pi$
$131$	14.2519	−	2.14813i	1.24520	−	0.187683i	0.738388	+	0.674376i	$0.235587\pi$
$132$	0.159919	+	0.476973i	0.0139192	+	0.0415152i
$133$	−6.33182	+	9.19893i	−0.549039	+	0.797649i
$134$	−4.05148	+	2.83497i	−0.349994	+	0.244904i
$135$	−2.80445	−	0.210164i	−0.241368	−	0.0180881i
$136$	0.920690	−	2.62320i	0.0789485	−	0.224938i
$137$	4.20050	−	10.7027i	0.358873	−	0.914394i	−0.631425	−	0.775437i	$-0.717530\pi$
$137$	4.20050	−	10.7027i	0.358873	−	0.914394i	0.990298	−	0.138957i	$-0.0443751\pi$
$138$	−5.31218	−	8.94809i	−0.452203	−	0.761712i
$139$	−1.39939	+	1.75478i	−0.118694	+	0.148838i	−0.837629	−	0.546240i	$-0.816059\pi$
$139$	−1.39939	+	1.75478i	−0.118694	+	0.148838i	0.718934	+	0.695078i	$0.244630\pi$
$140$	−13.2768	+	6.72169i	−1.12209	+	0.568087i
$141$	−6.36041	−	7.97570i	−0.535643	−	0.671675i
$142$	2.08826	−	5.51699i	0.175243	−	0.462976i
$143$	0.0385258	+	0.514092i	0.00322169	+	0.0429905i
$144$	3.99528	−	0.194334i	0.332940	−	0.0161945i
$145$	−2.10142	+	2.26480i	−0.174514	+	0.188081i
$146$	−17.5643	−	15.9046i	−1.45363	−	1.31627i
$147$	6.67040	+	2.12269i	0.550165	+	0.175076i
$148$	−1.43425	−	14.4252i	−0.117895	−	1.18574i
$149$	−1.41894	−	1.31658i	−0.116244	−	0.107859i	0.619909	−	0.784673i	$-0.287169\pi$
$149$	−1.41894	−	1.31658i	−0.116244	−	0.107859i	−0.736153	+	0.676815i	$0.763360\pi$
$150$	3.18510	−	2.60397i	0.260063	−	0.212613i
$151$	15.2606	−	1.14363i	1.24189	−	0.0930670i	0.562472	−	0.826816i	$-0.309850\pi$
$151$	15.2606	−	1.14363i	1.24189	−	0.0930670i	0.679420	+	0.733749i	$0.262231\pi$
$152$	−3.10085	+	11.5288i	−0.251512	+	0.935109i
$153$	0.768468	−	0.612833i	0.0621270	−	0.0495446i
$154$	0.284331	+	0.897177i	0.0229120	+	0.0722966i
$155$	−19.2071	−	15.3172i	−1.54275	−	1.23031i
$156$	4.01733	+	0.814763i	0.321643	+	0.0652332i
$157$	16.6978	+	6.55342i	1.33263	+	0.523020i	0.921437	−	0.388528i	$-0.127016\pi$
$157$	16.6978	+	6.55342i	1.33263	+	0.523020i	0.411195	+	0.911547i	$0.365112\pi$
$158$	−10.6412	−	4.96617i	−0.846568	−	0.395087i
$159$	0.250022	−	3.33632i	0.0198281	−	0.264587i
$160$	−10.9835	+	11.5089i	−0.868321	+	0.909855i
$161$	−9.65899	−	16.9030i	−0.761235	−	1.33214i
$162$	1.23325	+	0.692173i	0.0968930	+	0.0543823i
$163$	1.41582	+	9.39336i	0.110896	+	0.735745i	0.973302	+	0.229528i	$0.0737183\pi$
$163$	1.41582	+	9.39336i	0.110896	+	0.735745i	−0.862406	+	0.506217i	$0.831044\pi$
$164$	−9.63837	−	5.25668i	−0.752631	−	0.410478i
$165$	−0.353696	−	0.612619i	−0.0275352	−	0.0476923i
$166$	0.842410	+	2.61767i	0.0653837	+	0.203171i
$167$	−1.26603	+	0.609690i	−0.0979686	+	0.0471792i	−0.482226	−	0.876047i	$-0.660172\pi$
$167$	−1.26603	+	0.609690i	−0.0979686	+	0.0471792i	0.384258	+	0.923226i	$0.374457\pi$
$168$	7.47948	−	0.239468i	0.577055	−	0.0184754i
$169$	−7.92791	−	3.81788i	−0.609839	−	0.293683i
$170$	−0.535629	+	3.87236i	−0.0410809	+	0.296996i
$171$	−3.09414	+	2.87094i	−0.236615	+	0.219547i
$172$	−7.22509	+	8.17660i	−0.550908	+	0.623460i
$173$	−7.91877	−	11.6147i	−0.602053	−	0.883049i	0.397348	−	0.917668i	$-0.369931\pi$
$173$	−7.91877	−	11.6147i	−0.602053	−	0.883049i	−0.999401	+	0.0346188i	$0.988978\pi$
$174$	1.43923	−	0.585133i	0.109107	−	0.0443588i
$175$	6.03881	−	4.77202i	0.456491	−	0.360731i
$176$	0.606495	+	0.802791i	0.0457163	+	0.0605126i
$177$	−4.94799	+	8.57018i	−0.371914	+	0.644174i
$178$	−0.344046	+	1.59654i	−0.0257873	+	0.119666i
$179$	−7.56974	+	11.1028i	−0.565789	+	0.829860i	−0.997390	−	0.0722044i	$-0.976997\pi$
$179$	−7.56974	+	11.1028i	−0.565789	+	0.829860i	0.431601	+	0.902065i	$0.357949\pi$
$180$	−5.45157	+	1.38447i	−0.406336	+	0.103192i
$181$	−13.2562	+	3.02563i	−0.985324	+	0.224894i	−0.684681	−	0.728843i	$-0.740058\pi$
$181$	−13.2562	+	3.02563i	−0.985324	+	0.224894i	−0.300643	+	0.953737i	$0.597201\pi$
$182$	7.48939	+	1.64880i	0.555151	+	0.122217i
$183$	−8.58237	−	1.95887i	−0.634427	−	0.144804i
$184$	−15.7622	−	13.5905i	−1.16201	−	1.00191i
$185$	6.00831	+	19.4785i	0.441740	+	1.43208i
$186$	5.49497	+	11.0645i	0.402910	+	0.811286i
$187$	0.236251	+	0.0728737i	0.0172764	+	0.00532905i
$188$	−17.1317	−	11.0802i	−1.24946	−	0.808106i
$189$	2.28538	+	1.33305i	0.166237	+	0.0969651i
$190$	1.05103	−	16.7545i	0.0762497	−	1.21550i
$191$	−15.1055	+	5.92847i	−1.09300	+	0.428969i	−0.842252	−	0.539084i	$-0.818770\pi$
$191$	−15.1055	+	5.92847i	−1.09300	+	0.428969i	−0.250744	+	0.968054i	$0.580675\pi$
$192$	7.45252	−	2.90860i	0.537839	−	0.209910i
$193$	6.98894	+	1.05341i	0.503075	+	0.0758263i	0.395677	−	0.918390i	$-0.370510\pi$
$193$	6.98894	+	1.05341i	0.503075	+	0.0758263i	0.107398	+	0.994216i	$0.465748\pi$
$194$	−0.628121	−	7.20567i	−0.0450964	−	0.517337i
$195$	−5.76399			−0.412768
$196$	13.9983	−	0.215715i	0.999881	−	0.0154082i
$197$	2.98183			0.212446			0.106223	−	0.994342i	$-0.466124\pi$
$197$	2.98183			0.212446			0.106223	+	0.994342i	$0.466124\pi$
$198$	0.0308913	+	0.354379i	0.00219535	+	0.0251846i
$199$	20.6088	+	3.10628i	1.46092	+	0.220198i	0.830918	−	0.556395i	$-0.187816\pi$
$199$	20.6088	+	3.10628i	1.46092	+	0.220198i	0.630002	+	0.776593i	$0.283054\pi$
$200$	4.38423	−	6.96281i	0.310012	−	0.492345i
$201$	−3.25483	+	1.27743i	−0.229578	+	0.0901028i
$202$	−0.457405	+	7.29150i	−0.0321829	+	0.513028i
$203$	2.71034	−	1.04985i	0.190229	−	0.0736848i
$204$	1.06759	−	1.65066i	0.0747462	−	0.115569i
$205$	14.7518	+	4.55034i	1.03031	+	0.317810i
$206$	0.305857	+	0.615862i	0.0213101	+	0.0429092i
$207$	−2.16888	−	7.03134i	−0.150748	−	0.488712i
$208$	8.13589	−	1.00912i	0.564122	−	0.0699696i
$209$	−1.03508	−	0.236251i	−0.0715981	−	0.0163418i
$210$	−10.2405	+	2.42049i	−0.706664	+	0.167030i
$211$	1.62072	−	0.369918i	0.111575	−	0.0254662i	−0.166369	−	0.986064i	$-0.553204\pi$
$211$	1.62072	−	0.369918i	0.111575	−	0.0254662i	0.277944	+	0.960597i	$0.410347\pi$
$212$	−1.64704	−	6.48547i	−0.113119	−	0.445424i
$213$	2.34973	−	3.44642i	0.161001	−	0.236145i
$214$	−5.28386	+	24.5197i	−0.361197	+	1.67613i
$215$	7.67156	−	13.2875i	0.523196	−	0.906202i
$216$	2.77862	+	0.528472i	0.189061	+	0.0359579i
$217$	9.93519	+	20.8675i	0.674445	+	1.41658i
$218$	8.71762	−	3.54425i	0.590432	−	0.240047i
$219$	−9.43843	−	13.8436i	−0.637790	−	0.935466i
$220$	−1.06019	−	0.936812i	−0.0714777	−	0.0631598i
$221$	1.47675	−	1.37023i	0.0993370	−	0.0921713i
$222$	1.40448	−	10.1538i	0.0942626	−	0.681476i
$223$	−23.8276	−	11.4748i	−1.59562	−	0.768409i	−0.596210	−	0.802829i	$-0.703327\pi$
$223$	−23.8276	−	11.4748i	−1.59562	−	0.768409i	−0.999407	+	0.0344198i	$0.989042\pi$
$224$	14.0308	−	5.20936i	0.937470	−	0.348065i
$225$	2.62100	−	1.26220i	0.174733	−	0.0841470i
$226$	9.01683	+	28.0185i	0.599790	+	1.86376i
$227$	−1.14002	−	1.97457i	−0.0756657	−	0.131057i	0.825710	−	0.564095i	$-0.190775\pi$
$227$	−1.14002	−	1.97457i	−0.0756657	−	0.131057i	−0.901376	+	0.433038i	$0.857442\pi$
$228$	−4.04201	+	7.41123i	−0.267689	+	0.490821i
$229$	−1.90513	−	12.6397i	−0.125894	−	0.835255i	−0.959258	−	0.282531i	$-0.908826\pi$
$229$	−1.90513	−	12.6397i	−0.125894	−	0.835255i	0.833364	−	0.552725i	$-0.186412\pi$
$230$	25.5204	+	14.3236i	1.68276	+	0.944471i
$231$	0.0467814	+	0.663850i	0.00307799	+	0.0436781i
$232$	2.35713	−	2.02459i	0.154753	−	0.132921i
$233$	−0.568040	+	7.57997i	−0.0372135	+	0.496580i	0.947192	+	0.320667i	$0.103907\pi$
$233$	−0.568040	+	7.57997i	−0.0372135	+	0.496580i	−0.984406	+	0.175913i	$0.943712\pi$
$234$	2.62656	+	1.22579i	0.171703	+	0.0801327i
$235$	26.7060	+	10.4813i	1.74211	+	0.683728i
$236$	−3.93396	+	19.3971i	−0.256079	+	1.26264i
$237$	−6.49198	−	5.17718i	−0.421699	−	0.336294i
$238$	2.04825	−	3.05453i	0.132768	−	0.197996i
$239$	14.2097	−	11.3319i	0.919150	−	0.732998i	−0.0448235	−	0.998995i	$-0.514273\pi$
$239$	14.2097	−	11.3319i	0.919150	−	0.732998i	0.963974	+	0.265997i	$0.0857011\pi$
$240$	−9.45736	+	6.09128i	−0.610470	+	0.393191i
$241$	28.9590	−	2.17017i	1.86541	−	0.139793i	0.906266	−	0.422708i	$-0.138920\pi$
$241$	28.9590	−	2.17017i	1.86541	−	0.139793i	0.959145	+	0.282914i	$0.0913012\pi$
$242$	11.9744	−	9.78965i	0.769745	−	0.629303i
$243$	0.733052	+	0.680173i	0.0470253	+	0.0436331i
$244$	−17.5198	+	1.74194i	−1.12159	+	0.111516i
$245$	−19.2308	+	4.20974i	−1.22861	+	0.268951i
$246$	−5.75448	−	5.21070i	−0.366892	−	0.332222i
$247$	−5.88417	+	6.34162i	−0.374401	+	0.403508i
$248$	17.4544	+	17.4875i	1.10835	+	1.11046i
$249$	0.145310	+	1.93902i	0.00920864	+	0.122881i
$250$	2.94389	−	7.77749i	0.186188	−	0.491892i
$251$	13.7983	+	17.3025i	0.870941	+	1.09213i	0.995002	+	0.0998505i	$0.0318365\pi$
$251$	13.7983	+	17.3025i	0.870941	+	1.09213i	−0.124062	+	0.992274i	$0.539592\pi$
$252$	5.18119	+	1.07482i	0.326385	+	0.0677070i
$253$	1.15399	−	1.44705i	0.0725505	−	0.0909754i
$254$	−0.761516	−	1.28273i	−0.0477817	−	0.0804858i
$255$	−1.00989	+	2.57316i	−0.0632418	+	0.161137i
$256$	12.2827	−	10.2536i	0.767667	−	0.640849i
$257$	8.59381	+	0.644017i	0.536067	+	0.0401727i	0.340014	−	0.940421i	$-0.389568\pi$
$257$	8.59381	+	0.644017i	0.536067	+	0.0401727i	0.196054	+	0.980593i	$0.437187\pi$
$258$	−6.32159	+	4.42345i	−0.393565	+	0.275392i
$259$	2.94244	−	18.9497i	0.182834	−	1.17748i
$260$	−10.9300	+	3.66460i	−0.677850	+	0.227269i
$261$	1.08631	−	0.163735i	0.0672408	−	0.0101349i
$262$	19.8153	−	4.77674i	1.22419	−	0.295108i
$263$	14.5926	−	8.42507i	0.899821	−	0.519512i	0.0226790	−	0.999743i	$-0.492780\pi$
$263$	14.5926	−	8.42507i	0.899821	−	0.519512i	0.877142	+	0.480231i	$0.159447\pi$
$264$	0.283883	+	0.652353i	0.0174718	+	0.0401496i
$265$	4.08244	+	8.47727i	0.250782	+	0.520755i
$266$	−7.79098	+	13.7377i	−0.477696	+	0.842314i
$267$	−0.501067	+	1.04048i	−0.0306648	+	0.0636761i
$268$	−5.35984	+	4.49167i	−0.327405	+	0.274373i
$269$	0.362368	+	0.390540i	0.0220940	+	0.0238116i	0.744002	−	0.668177i	$-0.232925\pi$
$269$	0.362368	+	0.390540i	0.0220940	+	0.0238116i	−0.721908	+	0.691989i	$0.756735\pi$
$270$	−3.97691	+	0.0483245i	−0.242027	+	0.00294093i
$271$	−5.52671	+	3.76805i	−0.335724	+	0.228893i	−0.719434	−	0.694561i	$-0.755599\pi$
$271$	−5.52671	+	3.76805i	−0.335724	+	0.228893i	0.383710	+	0.923454i	$0.374646\pi$
$272$	0.974974	−	3.80882i	0.0591165	−	0.230944i
$273$	4.87510	+	2.37449i	0.295055	+	0.143710i
$274$	4.60355	−	15.5946i	0.278111	−	0.942105i
$275$	0.633700	+	0.365867i	0.0382135	+	0.0220626i
$276$	−8.58311	−	11.9543i	−0.516642	−	0.719565i
$277$	0.695470	+	0.474163i	0.0417867	+	0.0284897i	0.584033	−	0.811730i	$-0.301474\pi$
$277$	0.695470	+	0.474163i	0.0417867	+	0.0284897i	−0.542247	+	0.840219i	$0.682426\pi$
$278$	−1.75605	+	2.64411i	−0.105321	+	0.158583i
$279$	1.94383	+	8.51646i	0.116374	+	0.509867i
$280$	−17.8798	+	11.1005i	−1.06852	+	0.663384i
$281$	−5.37583	+	23.5530i	−0.320695	+	1.40506i	0.515625	+	0.856814i	$0.327560\pi$
$281$	−5.37583	+	23.5530i	−0.320695	+	1.40506i	−0.836320	+	0.548242i	$0.815297\pi$
$282$	−9.94050	−	10.4556i	−0.591948	−	0.622622i
$283$	−26.2017	+	8.08216i	−1.55753	+	0.480434i	−0.949576	−	0.313538i	$-0.898486\pi$
$283$	−26.2017	+	8.08216i	−1.55753	+	0.480434i	−0.607954	+	0.793972i	$0.708010\pi$
$284$	2.26454	−	8.02920i	0.134376	−	0.476445i
$285$	3.49889	−	11.3431i	0.207256	−	0.671908i
$286$	0.117414	+	0.719557i	0.00694286	+	0.0425483i
$287$	−10.6024	−	9.92566i	−0.625839	−	0.585893i
$288$	5.60496	−	0.764458i	0.330276	−	0.0450461i
$289$	5.85784	+	14.9255i	0.344579	+	0.877972i
$290$	−2.68249	+	3.44888i	−0.157521	+	0.202525i
$291$	0.762277	−	5.05738i	0.0446855	−	0.296469i
$292$	−26.6991	−	20.2504i	−1.56245	−	1.18506i
$293$			27.7502i			1.62118i	0.585611	+	0.810592i	$0.300855\pi$
$293$			27.7502i			1.62118i	−0.585611	+	0.810592i	$0.699145\pi$
$294$	9.65842	+	2.17139i	0.563290	+	0.126638i
$295$		−	27.8306i		−	1.62036i
$296$	−3.79226	−	20.1471i	−0.220420	−	1.17103i
$297$	−0.0374892	+	0.248725i	−0.00217534	+	0.0144325i
$298$	−2.16080	−	1.68063i	−0.125172	−	0.0973565i
$299$	−5.50976	−	14.0386i	−0.318638	−	0.811876i
$300$	4.16760	−	4.05983i	0.240617	−	0.234394i
$301$	−11.9623	+	8.07810i	−0.689497	+	0.465614i
$302$	21.3598	−	3.48540i	1.22912	−	0.200563i
$303$	−1.52271	+	4.93649i	−0.0874772	+	0.283594i
$304$	−2.95282	+	16.6234i	−0.169356	+	0.953418i
$305$	23.6571	−	7.29725i	1.35460	−	0.417839i
$306$	1.00741	−	0.957779i	0.0575898	−	0.0547526i
$307$	4.55889	−	19.9738i	0.260189	−	1.13996i	−0.660857	−	0.750512i	$-0.729807\pi$
$307$	4.55889	−	19.9738i	0.260189	−	1.13996i	0.921046	−	0.389453i	$-0.127336\pi$
$308$	0.510769	+	1.22909i	0.0291038	+	0.0700338i
$309$	0.108196	+	0.474037i	0.00615505	+	0.0269670i
$310$	−28.9415	−	19.2211i	−1.64377	−	1.09168i
$311$	1.09858	+	0.748996i	0.0622945	+	0.0424717i	0.594067	−	0.804416i	$-0.297521\pi$
$311$	1.09858	+	0.748996i	0.0622945	+	0.0424717i	−0.531772	+	0.846887i	$0.678474\pi$
$312$	5.75996	+	0.654521i	0.326093	+	0.0370550i
$313$	15.1174	+	8.72804i	0.854487	+	0.493338i	0.862162	−	0.506632i	$-0.169110\pi$
$313$	15.1174	+	8.72804i	0.854487	+	0.493338i	−0.00767546	+	0.999971i	$0.502443\pi$
$314$	24.3299	+	7.18223i	1.37302	+	0.405317i
$315$	−7.44060	−	0.0330831i	−0.419230	−	0.00186402i
$316$	−15.6020	−	5.68983i	−0.877680	−	0.320078i
$317$	24.8285	−	16.9278i	1.39451	−	0.950760i	0.395024	−	0.918671i	$-0.370736\pi$
$317$	24.8285	−	16.9278i	1.39451	−	0.950760i	0.999485	−	0.0320893i	$-0.0102161\pi$
$318$	−0.0574893	−	4.73114i	−0.00322384	−	0.265309i
$319$	0.187952	+	0.202564i	0.0105233	+	0.0113414i
$320$	−14.0609	+	17.5634i	−0.786028	+	0.981823i
$321$	−7.69538	+	15.9796i	−0.429514	+	0.891895i
$322$	−15.6841	−	22.6279i	−0.874043	−	1.26100i
$323$	1.80008	+	3.73790i	0.100159	+	0.207982i
$324$	1.82249	+	0.823726i	0.101250	+	0.0457626i
$325$	5.16353	−	2.98117i	0.286421	−	0.165365i
$326$	3.14832	+	13.0602i	0.174370	+	0.723335i
$327$	6.57995	−	0.991768i	0.363872	−	0.0548449i
$328$	−14.2248	−	6.22228i	−0.785434	−	0.343568i
$329$	−18.2698	−	19.8666i	−1.00725	−	1.09528i
$330$	−0.573548	−	0.819663i	−0.0315728	−	0.0451210i
$331$	−6.12974	−	0.459361i	−0.336921	−	0.0252487i	−0.0948045	−	0.995496i	$-0.530223\pi$
$331$	−6.12974	−	0.459361i	−0.336921	−	0.0252487i	−0.242117	+	0.970247i	$0.577842\pi$
$332$	1.50833	+	3.58450i	0.0827803	+	0.196725i
$333$	2.64805	−	6.74712i	0.145112	−	0.369740i
$334$	−1.70880	+	1.01446i	−0.0935014	+	0.0555087i
$335$	6.13099	−	7.68802i	0.334972	−	0.420041i
$336$	10.5082	−	1.25595i	0.573270	−	0.0685175i
$337$	−8.79303	−	11.0261i	−0.478987	−	0.600631i	0.482359	−	0.875974i	$-0.339780\pi$
$337$	−8.79303	−	11.0261i	−0.478987	−	0.600631i	−0.961346	+	0.275343i	$0.911209\pi$
$338$	−11.6383	−	4.40526i	−0.633039	−	0.239615i
$339$	1.55534	+	20.7545i	0.0844744	+	1.12723i
$340$	−0.279061	+	5.52143i	−0.0151342	+	0.299442i
$341$	−1.49452	+	1.61071i	−0.0809329	+	0.0872249i
$342$	−4.00666	+	4.42479i	−0.216655	+	0.239265i
$343$	17.9993	+	4.36162i	0.971873	+	0.235505i
$344$	−9.17504	+	12.4071i	−0.494685	+	0.668946i
$345$	15.1695	+	14.0753i	0.816700	+	0.757787i
$346$	−12.5829	−	15.3911i	−0.676463	−	0.827430i
$347$	32.9469	−	2.46903i	1.76868	−	0.132544i	0.849807	−	0.527094i	$-0.176718\pi$
$347$	32.9469	−	2.46903i	1.76868	−	0.132544i	0.918875	+	0.394549i	$0.129099\pi$
$348$	1.95582	−	1.00113i	0.104843	−	0.0536662i
$349$	13.7830	−	10.9916i	0.737789	−	0.588367i	−0.180829	−	0.983515i	$-0.557878\pi$
$349$	13.7830	−	10.9916i	0.737789	−	0.588367i	0.918618	+	0.395148i	$0.129307\pi$
$350$	7.92185	−	7.46480i	0.423441	−	0.399010i
$351$	1.60241	+	1.27788i	0.0855302	+	0.0682081i
$352$	0.953065	+	1.05654i	0.0507986	+	0.0563140i
$353$	−5.08484	−	1.99565i	−0.270639	−	0.106218i	0.226141	−	0.974095i	$-0.427389\pi$
$353$	−5.08484	−	1.99565i	−0.270639	−	0.106218i	−0.496780	+	0.867877i	$0.665484\pi$
$354$	−5.91857	+	12.6819i	−0.314568	+	0.674038i
$355$	−0.876640	+	11.6979i	−0.0465272	+	0.620862i
$356$	−0.288643	+	2.29157i	−0.0152980	+	0.121453i
$357$	1.91417	−	1.76032i	0.101309	−	0.0931658i
$358$	−9.30124	+	16.5720i	−0.491586	+	0.875859i
$359$	4.19268	+	27.8166i	0.221281	+	1.46810i	0.773176	+	0.634191i	$0.218667\pi$
$359$	4.19268	+	27.8166i	0.221281	+	1.46810i	−0.551895	+	0.833913i	$0.686095\pi$
$360$	−7.51052	+	2.62006i	−0.395839	+	0.138089i
$361$	0.591978	+	1.02534i	0.0311568	+	0.0539651i
$362$	−18.3047	+	5.89074i	−0.962071	+	0.309611i
$363$	9.85365	−	4.74527i	0.517183	−	0.249062i
$364$	10.7541	+	1.40317i	0.563667	+	0.0735459i
$365$	42.4539	+	20.4447i	2.22214	+	1.07013i
$366$	−12.3320	−	1.70578i	−0.644605	−	0.0891625i
$367$	−9.37429	+	8.69807i	−0.489334	+	0.454035i	−0.885836	−	0.463998i	$-0.846414\pi$
$367$	−9.37429	+	8.69807i	−0.489334	+	0.454035i	0.396502	+	0.918034i	$0.370224\pi$
$368$	−23.8760	−	17.2115i	−1.24462	−	0.897212i
$369$	−3.09225	−	4.53550i	−0.160976	−	0.236109i
$370$	10.8571	+	26.7047i	0.564434	+	1.38831i
$371$	0.0393574	−	8.85172i	0.00204333	−	0.459559i
$372$	9.10054	+	14.9136i	0.471841	+	0.773232i
$373$	5.88149	−	10.1870i	0.304532	−	0.527465i	−0.672625	−	0.739983i	$-0.734833\pi$
$373$	5.88149	−	10.1870i	0.304532	−	0.527465i	0.977157	+	0.212519i	$0.0681667\pi$
$374$	0.341796	+	0.0736553i	0.0176739	+	0.00380862i
$375$	3.31249	−	4.85853i	0.171056	−	0.250894i
$376$	−25.4972	−	13.5066i	−1.31492	−	0.696549i
$377$	2.19515	−	0.501028i	0.113056	−	0.0258043i
$378$	3.38352	+	1.59742i	0.174030	+	0.0821626i
$379$	9.60613	+	2.19254i	0.493434	+	0.112623i	0.461995	−	0.886883i	$-0.347134\pi$
$379$	9.60613	+	2.19254i	0.493434	+	0.112623i	0.0314389	+	0.999506i	$0.489991\pi$
$380$	−0.576880	−	23.7340i	−0.0295933	−	1.21753i
$381$	−0.310915	−	1.00796i	−0.0159287	−	0.0516394i
$382$	−20.5536	+	10.2076i	−1.05161	+	0.522265i
$383$	5.11578	+	1.57801i	0.261404	+	0.0806325i	0.422687	−	0.906276i	$-0.361087\pi$
$383$	5.11578	+	1.57801i	0.261404	+	0.0806325i	−0.161283	+	0.986908i	$0.551563\pi$
$384$	10.1424	−	5.01310i	0.517578	−	0.255824i
$385$	−1.04741	−	1.55105i	−0.0533811	−	0.0790486i
$386$	9.97589	+	0.625800i	0.507759	+	0.0318524i
$387$	−5.07857	+	1.99319i	−0.258158	+	0.101320i
$388$	−1.76988	−	10.0747i	−0.0898521	−	0.511467i
$389$	−29.7891	−	4.48998i	−1.51037	−	0.227651i	−0.658968	−	0.752171i	$-0.729007\pi$
$389$	−29.7891	−	4.48998i	−1.51037	−	0.227651i	−0.851398	+	0.524520i	$0.824245\pi$
$390$	−8.12072	+	0.707885i	−0.411209	+	0.0358452i
$391$	−7.23248			−0.365762
$392$	19.6954	−	2.02307i	0.994766	−	0.102181i
$393$	14.4129			0.727035
$394$	4.20101	−	0.366203i	0.211644	−	0.0184491i
$395$	23.0913	+	3.48046i	1.16185	+	0.175121i
$396$	0.0870437	+	0.495480i	0.00437411	+	0.0248988i
$397$	21.7745	−	8.54588i	1.09283	−	0.428905i	0.250639	−	0.968081i	$-0.419359\pi$
$397$	21.7745	−	8.54588i	1.09283	−	0.428905i	0.842194	+	0.539175i	$0.181264\pi$
$398$	29.4167	+	1.84534i	1.47452	+	0.0924987i
$399$	−7.63213	+	8.15248i	−0.382084	+	0.408134i
$400$	5.32171	−	10.3481i	0.266085	−	0.517407i
$401$	−28.7518	−	8.86877i	−1.43580	−	0.442885i	−0.523365	−	0.852109i	$-0.675323\pi$
$401$	−28.7518	−	8.86877i	−1.43580	−	0.442885i	−0.912434	+	0.409224i	$0.865800\pi$
$402$	−4.42876	+	2.19946i	−0.220886	+	0.109699i
$403$	5.27725	+	17.1084i	0.262879	+	0.852232i
$404$	0.251057	+	10.3290i	0.0124905	+	0.513885i
$405$	−2.74180	−	0.625798i	−0.136241	−	0.0310961i
$406$	3.68959	−	1.81196i	0.183111	−	0.0899261i
$407$	1.77745	−	0.405691i	0.0881048	−	0.0201093i
$408$	1.30137	−	2.45668i	0.0644276	−	0.121624i
$409$	9.99659	−	14.6623i	0.494300	−	0.725004i	−0.495321	−	0.868710i	$-0.664950\pi$
$409$	9.99659	−	14.6623i	0.494300	−	0.725004i	0.989620	+	0.143706i	$0.0459019\pi$
$410$	21.3423	+	4.59914i	1.05402	+	0.227136i
$411$	5.74875	−	9.95712i	0.283565	−	0.491148i
$412$	0.506548	+	0.830108i	0.0249558	+	0.0408965i
$413$	−11.4649	+	23.5387i	−0.564149	+	1.15826i
$414$	−3.91920	−	9.63989i	−0.192618	−	0.473775i
$415$	−3.08048	−	4.51823i	−0.151215	−	0.221791i
$416$	11.3385	−	2.42090i	0.555915	−	0.118694i
$417$	−1.64529	+	1.52661i	−0.0805704	+	0.0747584i
$418$	−1.48731	−	0.205727i	−0.0727468	−	0.0100624i
$419$	11.9592	+	5.75926i	0.584246	+	0.281358i	0.702567	−	0.711617i	$-0.252037\pi$
$419$	11.9592	+	5.75926i	0.584246	+	0.281358i	−0.118321	+	0.992975i	$0.537751\pi$
$420$	−14.1303	+	4.66781i	−0.689489	+	0.227766i
$421$	−31.3558	+	15.1001i	−1.52819	+	0.735936i	−0.993995	−	0.109428i	$-0.965098\pi$
$421$	−31.3558	+	15.1001i	−1.52819	+	0.735936i	−0.534191	+	0.845364i	$0.679384\pi$
$422$	2.23795	−	0.720209i	0.108942	−	0.0350592i
$423$	−5.10065	−	8.83459i	−0.248002	−	0.429552i
$424$	−3.11696	−	8.93491i	−0.151373	−	0.433918i
$425$	−0.426166	−	2.82742i	−0.0206721	−	0.137150i
$426$	2.88720	−	5.14413i	0.139885	−	0.249234i
$427$	−23.0150	−	3.57367i	−1.11377	−	0.172942i
$428$	−4.43297	+	35.1940i	−0.214276	+	1.70117i
$429$	−0.0385258	+	0.514092i	−0.00186005	+	0.0248206i
$430$	9.17637	−	19.6626i	0.442524	−	0.948214i
$431$	−7.80463	−	3.06309i	−0.375936	−	0.147544i	0.169847	−	0.985470i	$-0.445673\pi$
$431$	−7.80463	−	3.06309i	−0.375936	−	0.147544i	−0.545783	+	0.837926i	$0.683768\pi$
$432$	3.97962	+	0.403302i	0.191469	+	0.0194039i
$433$	−25.7535	−	20.5378i	−1.23764	−	0.986982i	−0.999877	−	0.0156573i	$-0.995016\pi$
$433$	−25.7535	−	20.5378i	−1.23764	−	0.986982i	−0.237758	−	0.971324i	$-0.576413\pi$
$434$	16.5602	+	28.1794i	0.794913	+	1.35266i
$435$	−2.41550	+	1.92630i	−0.115814	+	0.0923589i
$436$	11.8467	−	6.06401i	0.567355	−	0.290414i
$437$	30.9716	−	2.32100i	1.48157	−	0.111029i
$438$	−14.9977	−	18.3447i	−0.716617	−	0.876546i
$439$	10.6249	+	9.85843i	0.507097	+	0.470517i	0.891740	−	0.452548i	$-0.149485\pi$
$439$	10.6249	+	9.85843i	0.507097	+	0.470517i	−0.384643	+	0.923065i	$0.625675\pi$
$440$	−1.60872	−	1.18964i	−0.0766925	−	0.0567140i
$441$	6.27952	+	3.09315i	0.299025	+	0.147293i
$442$	1.91227	−	2.11183i	0.0909575	−	0.100450i
$443$	4.06224	−	4.37806i	0.193003	−	0.208008i	−0.629135	−	0.777296i	$-0.716591\pi$
$443$	4.06224	−	4.37806i	0.193003	−	0.208008i	0.822138	+	0.569288i	$0.192781\pi$
$444$	0.731731	−	14.4778i	0.0347264	−	0.687088i
$445$	−0.242706	−	3.23869i	−0.0115054	−	0.153529i
$446$	−34.9793	−	13.2402i	−1.65632	−	0.626941i
$447$	−1.20686	−	1.51336i	−0.0570828	−	0.0715795i
$448$	19.1278	−	9.06246i	0.903702	−	0.428161i
$449$	11.8436	−	14.8513i	0.558932	−	0.700878i	−0.419428	−	0.907789i	$-0.637769\pi$
$449$	11.8436	−	14.8513i	0.558932	−	0.700878i	0.978360	+	0.206910i	$0.0663408\pi$
$450$	3.53763	−	2.10017i	0.166765	−	0.0990031i
$451$	0.504446	−	1.28531i	0.0237534	−	0.0605227i
$452$	16.1445	+	38.3671i	0.759375	+	1.80464i
$453$	15.2606	+	1.14363i	0.717007	+	0.0537322i
$454$	−1.84864	−	2.64191i	−0.0867609	−	0.123991i
$455$	−15.2124	+	1.07201i	−0.713166	+	0.0502567i
$456$	−4.78449	+	10.9379i	−0.224054	+	0.512213i
$457$	−26.3805	+	3.97622i	−1.23403	+	0.186000i	−0.733481	−	0.679710i	$-0.762106\pi$
$457$	−26.3805	+	3.97622i	−1.23403	+	0.186000i	−0.500547	+	0.865710i	$0.666868\pi$
$458$	−4.23639	−	17.5737i	−0.197953	−	0.821167i
$459$	0.851223	−	0.491454i	0.0397317	−	0.0229391i
$460$	37.7140	+	17.0459i	1.75843	+	0.794770i
$461$	4.69221	+	9.74348i	0.218538	+	0.453799i	0.981199	−	0.193000i	$-0.0618216\pi$
$461$	4.69221	+	9.74348i	0.218538	+	0.453799i	−0.762661	+	0.646799i	$0.776107\pi$
$462$	0.147438	+	0.929534i	0.00685941	+	0.0432458i
$463$	−16.5475	+	34.3613i	−0.769030	+	1.59691i	0.0328787	+	0.999459i	$0.489533\pi$
$463$	−16.5475	+	34.3613i	−0.769030	+	1.59691i	−0.801908	+	0.597447i	$0.796182\pi$
$464$	3.07225	−	3.14186i	0.142625	−	0.145857i
$465$	−16.7097	−	18.0088i	−0.774894	−	0.835137i
$466$	0.130613	+	10.7490i	0.00605054	+	0.497936i
$467$	−4.14468	+	2.82580i	−0.191793	+	0.130762i	−0.655410	−	0.755274i	$-0.727504\pi$
$467$	−4.14468	+	2.82580i	−0.191793	+	0.130762i	0.463616	+	0.886036i	$0.346552\pi$
$468$	3.85102	+	1.40441i	0.178014	+	0.0649190i
$469$	−8.35260	+	3.97674i	−0.385687	+	0.183629i
$470$	38.9126	+	11.4871i	1.79490	+	0.529858i
$471$	15.5346	+	8.96890i	0.715796	+	0.413265i
$472$	−3.16026	+	27.8111i	−0.145463	+	1.28011i
$473$	−1.13384	−	0.773041i	−0.0521341	−	0.0355445i
$474$	−9.78218	−	6.49669i	−0.449310	−	0.298403i
$475$	2.73233	+	11.9711i	0.125368	+	0.549272i
$476$	2.51059	−	4.55499i	0.115073	−	0.208778i
$477$	0.744482	−	3.26179i	0.0340875	−	0.149347i
$478$	18.6280	−	17.7103i	0.852024	−	0.810049i
$479$	−10.4056	+	3.20970i	−0.475444	+	0.146655i	−0.523210	−	0.852204i	$-0.675266\pi$
$479$	−10.4056	+	3.20970i	−0.475444	+	0.146655i	0.0477666	+	0.998859i	$0.484790\pi$
$480$	−12.5761	+	9.74331i	−0.574019	+	0.444719i
$481$	4.37874	−	14.1955i	0.199653	−	0.647260i
$482$	40.5329	−	6.61400i	1.84622	−	0.301259i
$483$	−7.03185	−	18.1538i	−0.319960	−	0.826026i
$484$	15.6681	−	15.2630i	0.712188	−	0.693771i
$485$	5.25491	+	13.3893i	0.238613	+	0.607976i
$486$	1.11631	+	0.868248i	0.0506368	+	0.0393845i
$487$	−1.31588	+	8.73027i	−0.0596280	+	0.395606i	0.939031	+	0.343833i	$0.111725\pi$
$487$	−1.31588	+	8.73027i	−0.0596280	+	0.395606i	−0.998659	+	0.0517733i	$0.983513\pi$
$488$	−24.4692	+	4.60579i	−1.10767	+	0.208495i
$489$			9.49946i			0.429581i
$490$	−26.5767	+	8.29275i	−1.20061	+	0.374628i
$491$			23.5706i			1.06372i	0.846831	+	0.531862i	$0.178508\pi$
$491$			23.5706i			1.06372i	−0.846831	+	0.531862i	$0.821492\pi$
$492$	−8.74725	−	6.63449i	−0.394357	−	0.299106i
$493$	0.160936	−	1.06774i	0.00724819	−	0.0480886i
$494$	−7.51121	+	9.65717i	−0.337945	+	0.434497i
$495$	−0.258439	−	0.658492i	−0.0116160	−	0.0295970i
$496$	26.7386	+	22.4940i	1.20060	+	1.01001i
$497$	5.56044	−	9.53282i	0.249420	−	0.427606i
$498$	0.442858	+	2.71399i	0.0198449	+	0.121617i
$499$	−8.20830	+	26.6107i	−0.367454	+	1.19126i	0.563499	+	0.826117i	$0.309455\pi$
$499$	−8.20830	+	26.6107i	−0.367454	+	1.19126i	−0.930953	+	0.365140i	$0.881021\pi$
$500$	3.19240	−	11.3190i	0.142768	−	0.506202i
$501$	−1.34276	+	0.414187i	−0.0599902	+	0.0185045i
$502$	21.5650	+	22.6824i	0.962492	+	1.01237i
$503$	7.00298	−	30.6821i	0.312248	−	1.36805i	−0.538568	−	0.842582i	$-0.681035\pi$
$503$	7.00298	−	30.6821i	0.312248	−	1.36805i	0.850816	−	0.525464i	$-0.176108\pi$
$504$	7.43163	+	0.877966i	0.331031	+	0.0391077i
$505$	−3.23287	−	14.1641i	−0.143861	−	0.630296i
$506$	1.44810	−	2.18043i	0.0643760	−	0.0969321i
$507$	−7.27034	−	4.95683i	−0.322887	−	0.220141i
$508$	−1.23041	−	1.71368i	−0.0545907	−	0.0760324i
$509$	−23.9074	−	13.8029i	−1.05968	−	0.611804i	−0.134333	−	0.990936i	$-0.542889\pi$
$509$	−23.9074	−	13.8029i	−1.05968	−	0.611804i	−0.925342	+	0.379132i	$0.876222\pi$
$510$	−1.10679	+	3.74927i	−0.0490095	+	0.166021i
$511$	−27.4847	−	34.7808i	−1.21585	−	1.53861i
$512$	16.0454	−	15.9544i	0.709115	−	0.705093i
$513$	−3.48748	+	2.37772i	−0.153976	+	0.104979i
$514$	12.1867	−	0.148083i	0.537531	−	0.00653167i
$515$	−0.930084	−	1.00239i	−0.0409844	−	0.0441707i
$516$	−8.36305	+	7.00843i	−0.368163	+	0.308529i
$517$	1.11333	−	2.31186i	0.0489644	−	0.101676i
$518$	1.81827	−	27.0591i	0.0798903	−	1.18891i
$519$	−6.09924	−	12.6652i	−0.267727	−	0.555941i
$520$	−14.9489	+	6.50528i	−0.655553	+	0.285275i
$521$	−7.77572	+	4.48931i	−0.340660	+	0.196680i	−0.660564	−	0.750770i	$-0.729683\pi$
$521$	−7.77572	+	4.48931i	−0.340660	+	0.196680i	0.319904	+	0.947450i	$0.396349\pi$
$522$	1.51036	−	0.364092i	0.0661066	−	0.0159359i
$523$	−30.3733	+	4.57803i	−1.32813	+	0.200183i	−0.774497	−	0.632578i	$-0.781997\pi$
$523$	−30.3733	+	4.57803i	−1.32813	+	0.200183i	−0.553633	+	0.832761i	$0.686759\pi$
$524$	27.3306	−	9.16336i	1.19394	−	0.400303i
$525$	6.68260	−	3.81868i	0.291652	−	0.166661i
$526$	19.5245	−	13.6620i	0.851307	−	0.595691i
$527$	8.56215	+	0.641645i	0.372973	+	0.0279505i
$528$	0.480071	+	0.884218i	0.0208924	+	0.0384806i
$529$	−11.3781	+	28.9910i	−0.494700	+	1.26048i
$530$	6.79274	+	11.4420i	0.295058	+	0.497009i
$531$	−6.17005	+	7.73699i	−0.267757	+	0.335757i
$532$	−9.28934	+	20.3115i	−0.402744	+	0.880616i
$533$	−7.01469	−	8.79615i	−0.303840	−	0.381003i
$534$	−0.578156	+	1.52743i	−0.0250192	+	0.0660985i
$535$	−3.72748	−	49.7398i	−0.161153	−	2.15044i
$536$	−6.99970	+	6.98644i	−0.302341	+	0.301768i
$537$	−9.13998	+	9.85056i	−0.394419	+	0.425083i
$538$	0.558493	+	0.505717i	0.0240783	+	0.0218030i
$539$	0.246932	+	1.74334i	0.0106361	+	0.0750908i
$540$	−5.59702	+	0.556494i	−0.240857	+	0.0239477i
$541$	−9.92499	−	9.20905i	−0.426709	−	0.395928i	0.437372	−	0.899281i	$-0.355909\pi$
$541$	−9.92499	−	9.20905i	−0.426709	−	0.395928i	−0.864081	+	0.503353i	$0.832100\pi$
$542$	−7.32367	+	5.98744i	−0.314578	+	0.257183i
$543$	−13.5591	+	1.01611i	−0.581875	+	0.0436055i
$544$	0.905844	−	5.48588i	0.0388377	−	0.235205i
$545$	−14.6311	+	11.6679i	−0.626727	+	0.499798i
$546$	7.16000	+	2.74662i	0.306420	+	0.117545i
$547$	−1.30326	−	1.03931i	−0.0557233	−	0.0444378i	0.595232	−	0.803554i	$-0.297060\pi$
$547$	−1.30326	−	1.03931i	−0.0557233	−	0.0444378i	−0.650955	+	0.759116i	$0.725632\pi$
$548$	4.57061	−	22.5362i	0.195247	−	0.962697i
$549$	−8.19455	−	3.21613i	−0.349735	−	0.137261i
$550$	0.937734	+	0.437633i	0.0399851	+	0.0186608i
$551$	−0.346523	+	4.62403i	−0.0147624	+	0.196990i
$552$	−13.5606	−	15.7880i	−0.577178	−	0.671981i
$553$	−18.0965	−	12.4562i	−0.769543	−	0.529693i
$554$	1.03806	+	0.582623i	0.0441029	+	0.0247533i
$555$	3.03809	+	20.1564i	0.128960	+	0.855591i
$556$	−2.14932	+	3.94088i	−0.0911514	+	0.167131i
$557$	−7.54057	−	13.0606i	−0.319504	−	0.553397i	0.660881	−	0.750491i	$-0.270183\pi$
$557$	−7.54057	−	13.0606i	−0.319504	−	0.553397i	−0.980385	+	0.197094i	$0.936850\pi$
$558$	3.78452	+	11.7599i	0.160211	+	0.497835i
$559$	−10.0744	+	4.85159i	−0.426103	+	0.205200i
$560$	−23.8270	+	17.8351i	−1.00688	+	0.753670i
$561$	0.222751	+	0.107271i	0.00940454	+	0.00452899i
$562$	−4.68126	+	33.8434i	−0.197467	+	1.42760i
$563$	−19.1321	+	17.7520i	−0.806320	+	0.748156i	−0.971228	−	0.238153i	$-0.923458\pi$
$563$	−19.1321	+	17.7520i	−0.806320	+	0.748156i	0.164907	+	0.986309i	$0.447268\pi$
$564$	−15.2890	−	13.5098i	−0.643781	−	0.568864i
$565$	−32.9722	−	48.3613i	−1.38715	−	2.03458i
$566$	−35.9222	+	14.6046i	−1.50992	+	0.613877i
$567$	2.06118	+	1.65878i	0.0865613	+	0.0696622i
$568$	2.20437	−	11.5902i	0.0924932	−	0.486314i
$569$	5.52461	−	9.56891i	0.231604	−	0.401150i	−0.726676	−	0.686980i	$-0.758936\pi$
$569$	5.52461	−	9.56891i	0.231604	−	0.401150i	0.958280	+	0.285830i	$0.0922693\pi$
$570$	3.53642	−	16.4107i	0.148124	−	0.687368i
$571$	10.9415	−	16.0482i	0.457888	−	0.671598i	−0.525980	−	0.850497i	$-0.676301\pi$
$571$	10.9415	−	16.0482i	0.457888	−	0.671598i	0.983867	+	0.178899i	$0.0572536\pi$
$572$	0.253792	+	0.999344i	0.0106116	+	0.0417847i
$573$	−15.8204	+	3.61090i	−0.660906	+	0.150847i
$574$	−16.1564	−	12.6819i	−0.674354	−	0.529331i
$575$	−20.8691	−	4.76323i	−0.870301	−	0.198640i
$576$	7.80278	−	1.76538i	0.325116	−	0.0735574i
$577$	−4.38056	−	14.2014i	−0.182365	−	0.591213i	−0.999883	−	0.0153099i	$-0.995127\pi$
$577$	−4.38056	−	14.2014i	−0.182365	−	0.591213i	0.817518	−	0.575904i	$-0.195350\pi$
$578$	10.0860	+	20.3087i	0.419521	+	0.844732i
$579$	6.75388	+	2.08329i	0.280681	+	0.0865788i
$580$	−3.35572	+	5.18847i	−0.139339	+	0.215440i
$581$	0.744131	+	5.09046i	0.0308718	+	0.211188i
$582$	0.452845	−	7.21881i	0.0187710	−	0.299229i
$583$	0.783377	−	0.307453i	0.0324441	−	0.0127334i
$584$	−40.1026	−	25.2512i	−1.65946	−	1.04490i
$585$	−5.69961	−	0.859078i	−0.235650	−	0.0355185i
$586$	3.40805	+	39.0965i	0.140785	+	1.61506i
$587$	16.8725			0.696403			0.348201	−	0.937420i	$-0.386793\pi$
$587$	16.8725			0.696403			0.348201	+	0.937420i	$0.386793\pi$
$588$	13.8741	+	1.87304i	0.572160	+	0.0772428i
$589$	−36.8716			−1.51927
$590$	−3.41792	−	39.2097i	−0.140714	−	1.61424i
$591$	2.94852	+	0.444418i	0.121286	+	0.0182809i
$592$	−7.81710	−	27.9189i	−0.321281	−	1.14746i
$593$	−3.19611	+	1.25438i	−0.131249	+	0.0515112i	−0.430056	−	0.902802i	$-0.641506\pi$
$593$	−3.19611	+	1.25438i	−0.131249	+	0.0515112i	0.298808	+	0.954313i	$0.403411\pi$
$594$	−0.0222712	+	0.355025i	−0.000913797	+	0.0145668i
$595$	−2.18674	+	6.97892i	−0.0896476	+	0.286108i
$596$	−3.25068	−	2.10243i	−0.133153	−	0.0861187i
$597$	19.9157	+	6.14317i	0.815094	+	0.251423i
$598$	−9.48665	−	19.1020i	−0.387938	−	0.781138i
$599$	11.5561	+	37.4638i	0.472168	+	1.53073i	0.808216	+	0.588886i	$0.200433\pi$
$599$	11.5561	+	37.4638i	0.472168	+	1.53073i	−0.336049	+	0.941845i	$0.609091\pi$
$600$	5.37302	−	6.23160i	0.219353	−	0.254404i
$601$	−15.4216	−	3.51988i	−0.629061	−	0.143579i	−0.103908	−	0.994587i	$-0.533135\pi$
$601$	−15.4216	−	3.51988i	−0.629061	−	0.143579i	−0.525153	+	0.851008i	$0.675992\pi$
$602$	−15.8613	+	12.8501i	−0.646458	+	0.523731i
$603$	−3.40887	+	0.778052i	−0.138820	+	0.0316847i
$604$	29.6652	−	7.53372i	1.20706	−	0.306543i
$605$	−17.3263	+	25.4130i	−0.704414	+	1.03319i
$606$	−1.53904	+	7.14188i	−0.0625191	+	0.290119i
$607$	17.6227	−	30.5235i	0.715285	−	1.23891i	−0.247565	−	0.968871i	$-0.579630\pi$
$607$	17.6227	−	30.5235i	0.715285	−	1.23891i	0.962850	−	0.270038i	$-0.0870363\pi$
$608$	−2.11860	+	23.7829i	−0.0859205	+	0.964523i
$609$	2.83654	−	0.634166i	0.114942	−	0.0256977i
$610$	32.4336	−	13.1862i	1.31320	−	0.533896i
$611$	−11.7780	−	17.2751i	−0.476486	−	0.698877i
$612$	1.30168	−	1.47311i	0.0526174	−	0.0595469i
$613$	−31.8939	+	29.5932i	−1.28818	+	1.19526i	−0.319322	+	0.947646i	$0.603455\pi$
$613$	−31.8939	+	29.5932i	−1.28818	+	1.19526i	−0.968860	+	0.247611i	$0.920355\pi$
$614$	3.96987	−	28.7004i	0.160211	−	1.15825i
$615$	13.9089	+	6.69816i	0.560860	+	0.270096i
$616$	0.870554	+	1.66890i	0.0350756	+	0.0672418i
$617$	37.2697	−	17.9481i	1.50042	−	0.722564i	0.509939	−	0.860211i	$-0.329668\pi$
$617$	37.2697	−	17.9481i	1.50042	−	0.722564i	0.990481	+	0.137647i	$0.0439538\pi$
$618$	0.210651	+	0.654569i	0.00847364	+	0.0263306i
$619$	−7.14206	−	12.3704i	−0.287063	−	0.497208i	0.686044	−	0.727560i	$-0.259346\pi$
$619$	−7.14206	−	12.3704i	−0.287063	−	0.497208i	−0.973107	+	0.230352i	$0.926012\pi$
$620$	−43.1354	−	23.5257i	−1.73236	−	0.944813i
$621$	−1.09669	−	7.27606i	−0.0440087	−	0.291978i
$622$	1.63974	+	0.920321i	0.0657474	+	0.0369015i
$623$	−1.12891	+	2.83922i	−0.0452287	+	0.113751i
$624$	8.19542	+	0.214746i	0.328079	+	0.00859672i
$625$	−2.32281	+	30.9957i	−0.0929124	+	1.23983i
$626$	22.3704	+	10.4401i	0.894101	+	0.417270i
$627$	−0.988310	−	0.387883i	−0.0394693	−	0.0154906i
$628$	35.1598	+	7.13083i	1.40303	+	0.284551i
$629$	−5.56998	−	4.44191i	−0.222090	−	0.177111i
$630$	−10.4869	+	0.867182i	−0.417808	+	0.0345494i
$631$	−8.00250	+	6.38178i	−0.318575	+	0.254055i	−0.769700	−	0.638406i	$-0.779594\pi$
$631$	−8.00250	+	6.38178i	−0.318575	+	0.254055i	0.451125	+	0.892461i	$0.351023\pi$
$632$	−22.6800	−	6.10012i	−0.902160	−	0.242650i
$633$	1.65775	−	0.124231i	0.0658895	−	0.00493774i
$634$	32.9013	−	26.8983i	1.30668	−	1.06827i
$635$	2.17459	+	2.01773i	0.0862961	+	0.0800711i
$636$	−0.662035	−	6.65851i	−0.0262514	−	0.264027i
$637$	13.3080	+	5.36006i	0.527283	+	0.212373i
$638$	0.289677	+	0.262304i	0.0114684	+	0.0103847i
$639$	2.83715	−	3.05772i	0.112236	−	0.120961i
$640$	−17.6530	+	26.4714i	−0.697796	+	1.04637i
$641$	−2.90695	−	38.7905i	−0.114818	−	1.53213i	−0.695810	−	0.718225i	$-0.744955\pi$
$641$	−2.90695	−	38.7905i	−0.114818	−	1.53213i	0.580993	−	0.813909i	$-0.302664\pi$
$642$	−8.87931	+	23.4583i	−0.350438	+	0.925825i
$643$	−16.0259	−	20.0959i	−0.632000	−	0.792503i	0.357977	−	0.933730i	$-0.383467\pi$
$643$	−16.0259	−	20.0959i	−0.632000	−	0.792503i	−0.989977	+	0.141227i	$0.954895\pi$
$644$	−24.8759	−	29.9536i	−0.980248	−	1.18034i
$645$	9.56628	−	11.9957i	0.376672	−	0.472332i
$646$	2.99514	+	5.04515i	0.117842	+	0.198499i
$647$	−0.287021	+	0.731319i	−0.0112840	+	0.0287511i	−0.936405	−	0.350922i	$-0.885868\pi$
$647$	−0.287021	+	0.731319i	−0.0112840	+	0.0287511i	0.925121	+	0.379673i	$0.123963\pi$
$648$	2.66882	+	0.936701i	0.104841	+	0.0367971i
$649$	−2.48222	−	0.186016i	−0.0974355	−	0.00730178i
$650$	6.90863	−	4.83422i	0.270979	−	0.189614i
$651$	6.71409	+	22.1152i	0.263146	+	0.866762i
$652$	6.03952	+	18.0134i	0.236526	+	0.705460i
$653$	−19.1613	+	2.88811i	−0.749841	+	0.113020i	−0.512834	−	0.858488i	$-0.671404\pi$
$653$	−19.1613	+	2.88811i	−0.749841	+	0.113020i	−0.237007	+	0.971508i	$0.576166\pi$
$654$	9.14850	−	2.20537i	0.357735	−	0.0862367i
$655$	−35.1031	+	20.2668i	−1.37159	+	0.791888i
$656$	−20.8051	−	7.01941i	−0.812302	−	0.274062i
$657$	−7.26973	−	15.0957i	−0.283619	−	0.588941i
$658$	−28.1796	−	25.7457i	−1.09856	−	1.00367i
$659$	−14.2543	+	29.5993i	−0.555268	+	1.15303i	0.414737	+	0.909941i	$0.363874\pi$
$659$	−14.2543	+	29.5993i	−0.555268	+	1.15303i	−0.970005	+	0.243085i	$0.921841\pi$
$660$	−0.908720	−	1.08436i	−0.0353719	−	0.0422087i
$661$	15.2803	+	16.4683i	0.594335	+	0.640541i	0.956555	−	0.291552i	$-0.0941715\pi$
$661$	15.2803	+	16.4683i	0.594335	+	0.640541i	−0.362220	+	0.932093i	$0.617981\pi$
$662$	−8.69243	+	0.105624i	−0.337841	+	0.00410519i
$663$	1.66448	−	1.13482i	0.0646430	−	0.0440729i
$664$	2.56526	+	4.86486i	0.0995514	+	0.188793i
$665$	7.12465	−	30.5876i	0.276282	−	1.18614i
$666$	2.90214	−	9.83103i	0.112455	−	0.380945i
$667$	−7.00061	−	4.04181i	−0.271065	−	0.156499i
$668$	−2.28289	+	1.63910i	−0.0883278	+	0.0634187i
$669$	−21.8513	−	14.8980i	−0.844819	−	0.575988i
$670$	7.69359	−	11.5844i	0.297229	−	0.447544i
$671$	−0.492722	−	2.15876i	−0.0190213	−	0.0833379i
$672$	14.6505	−	3.06000i	0.565154	−	0.118042i
$673$	−7.91792	+	34.6907i	−0.305214	+	1.33723i	0.556928	+	0.830561i	$0.311980\pi$
$673$	−7.91792	+	34.6907i	−0.305214	+	1.33723i	−0.862142	+	0.506667i	$0.830877\pi$
$674$	−13.7424	−	14.4545i	−0.529337	−	0.556766i
$675$	2.77984	−	0.857468i	0.106996	−	0.0330040i
$676$	−16.9379	−	4.77713i	−0.651456	−	0.183736i
$677$	−7.33941	+	23.7938i	−0.282076	+	0.914469i	0.698042	+	0.716057i	$0.254055\pi$
$677$	−7.33941	+	23.7938i	−0.282076	+	0.914469i	−0.980119	+	0.198413i	$0.936421\pi$
$678$	4.74017	+	29.0495i	0.182045	+	1.11564i
$679$	1.07121	−	13.4892i	0.0411094	−	0.517669i
$680$	0.284935	+	7.81326i	0.0109268	+	0.299625i
$681$	−0.832991	−	2.12243i	−0.0319203	−	0.0813316i
$682$	−1.90777	+	2.45283i	−0.0730524	+	0.0939237i
$683$	−0.840168	+	5.57415i	−0.0321481	+	0.213289i	−0.999137	−	0.0415284i	$-0.986777\pi$
$683$	−0.840168	+	5.57415i	−0.0321481	+	0.213289i	0.966989	+	0.254817i	$0.0820154\pi$
$684$	−5.10145	+	6.72602i	−0.195059	+	0.257176i
$685$			32.3345i			1.23544i
$686$	25.8944	+	3.93442i	0.988653	+	0.150217i
$687$		−	12.7825i		−	0.487682i
$688$	−11.4027	+	18.6068i	−0.434724	+	0.709378i
$689$	1.02200	−	6.78055i	0.0389353	−	0.258319i
$690$	23.1005	+	17.9672i	0.879422	+	0.684001i
$691$	−0.0832919	−	0.212224i	−0.00316857	−	0.00807340i	0.929281	−	0.369374i	$-0.120428\pi$
$691$	−0.0832919	−	0.212224i	−0.00316857	−	0.00807340i	−0.932449	+	0.361301i	$0.882333\pi$
$692$	−19.6179	−	20.1387i	−0.745763	−	0.765560i
$693$	−0.0526828	+	0.663408i	−0.00200125	+	0.0252008i
$694$	46.1147	−	7.52481i	1.75049	−	0.285638i
$695$	1.86051	−	6.03164i	0.0705734	−	0.228793i
$696$	2.63255	−	1.65066i	0.0997865	−	0.0625682i
$697$	−5.15580	+	1.59035i	−0.195290	+	0.0602389i
$698$	18.0686	−	17.1785i	0.683907	−	0.650214i
$699$	−1.69143	+	7.41064i	−0.0639758	+	0.280296i
$700$	10.2441	−	11.4898i	0.387190	−	0.434275i
$701$	2.82784	+	12.3896i	0.106806	+	0.467948i	0.999839	+	0.0179560i	$0.00571589\pi$
$701$	2.82784	+	12.3896i	0.106806	+	0.467948i	−0.893033	+	0.449992i	$0.851427\pi$
$702$	2.41452	+	1.60357i	0.0911304	+	0.0605229i
$703$	25.2778	+	17.2341i	0.953369	+	0.649996i
$704$	1.47250	+	1.37149i	0.0554970	+	0.0516898i
$705$	24.8456	+	14.3446i	0.935739	+	0.540249i
$706$	−7.40897	−	2.18714i	−0.278840	−	0.0823141i
$707$	−3.10062	+	13.3116i	−0.116611	+	0.500635i
$708$	−6.78101	+	18.5941i	−0.254846	+	0.698809i
$709$	31.9448	−	21.7796i	1.19971	−	0.817951i	0.212470	−	0.977168i	$-0.431849\pi$
$709$	31.9448	−	21.7796i	1.19971	−	0.817951i	0.987244	+	0.159217i	$0.0508969\pi$
$710$	0.201572	+	16.5886i	0.00756486	+	0.622557i
$711$	−5.64785	−	6.08693i	−0.211811	−	0.228278i
$712$	−0.125228	+	3.26398i	−0.00469312	+	0.122323i
$713$	27.8891	−	57.9123i	1.04445	−	2.16883i
$714$	2.48063	−	2.71514i	0.0928352	−	0.101612i
$715$	−0.629062	−	1.30626i	−0.0235256	−	0.0488513i
$716$	−11.0690	+	24.4902i	−0.413668	+	0.915240i
$717$	15.7399	−	9.08746i	0.587819	−	0.339377i
$718$	9.32315	+	38.6751i	0.347937	+	1.44334i
$719$	23.6389	−	3.56300i	0.881583	−	0.132877i	0.307377	−	0.951588i	$-0.400549\pi$
$719$	23.6389	−	3.56300i	0.881583	−	0.132877i	0.574206	+	0.818711i	$0.305311\pi$
$720$	−10.2596	+	4.61370i	−0.382352	+	0.171943i
$721$	0.373715	+	1.23096i	0.0139179	+	0.0458433i
$722$	0.959944	+	1.37187i	0.0357254	+	0.0510555i
$723$	28.9590	+	2.17017i	1.07700	+	0.0807097i
$724$	−25.0654	+	10.5473i	−0.931550	+	0.391988i
$725$	1.16758	−	2.97494i	0.0433628	−	0.110487i
$726$	13.2998	−	7.89562i	0.493600	−	0.293034i
$727$	28.7361	−	36.0339i	1.06576	−	1.33642i	0.126984	−	0.991905i	$-0.459470\pi$
$727$	28.7361	−	36.0339i	1.06576	−	1.33642i	0.938779	−	0.344520i	$-0.111958\pi$
$728$	15.3234	+	0.656154i	0.567924	+	0.0243187i
$729$	0.623490	+	0.781831i	0.0230922	+	0.0289567i
$730$	62.3229	+	23.5901i	2.30667	+	0.873110i
$731$	0.400736	+	5.34745i	0.0148218	+	0.197783i
$732$	−17.5837	−	0.888707i	−0.649913	−	0.0328475i
$733$	−21.4821	+	23.1522i	−0.793458	+	0.855144i	−0.992168	−	0.124914i	$-0.960134\pi$
$733$	−21.4821	+	23.1522i	−0.793458	+	0.855144i	0.198710	+	0.980058i	$0.436325\pi$
$734$	−12.1389	+	13.4057i	−0.448056	+	0.494814i
$735$	−19.6434	+	1.29652i	−0.724559	+	0.0478230i
$736$	−35.7520	−	21.3165i	−1.31784	−	0.785738i
$737$	−0.644717	−	0.598210i	−0.0237485	−	0.0220354i
$738$	−4.91359	−	6.01017i	−0.180872	−	0.221237i
$739$	35.3635	−	2.65013i	1.30087	−	0.0974866i	0.593789	−	0.804621i	$-0.297631\pi$
$739$	35.3635	−	2.65013i	1.30087	−	0.0974866i	0.707080	+	0.707134i	$0.250012\pi$
$740$	18.5759	+	36.2902i	0.682865	+	1.33405i
$741$	−6.76361	+	5.39380i	−0.248468	+	0.198146i
$742$	−1.03165	−	12.4758i	−0.0378729	−	0.458000i
$743$	−21.6665	−	17.2785i	−0.794867	−	0.633885i	0.139490	−	0.990223i	$-0.455454\pi$
$743$	−21.6665	−	17.2785i	−0.794867	−	0.633885i	−0.934357	+	0.356338i	$0.884025\pi$
$744$	14.6530	+	19.8936i	0.537207	+	0.729335i
$745$	5.06738	+	1.98880i	0.185654	+	0.0728640i
$746$	7.03517	−	15.0745i	0.257576	−	0.551918i
$747$	−0.145310	+	1.93902i	−0.00531661	+	0.0709452i
$748$	0.490593	+	0.0617942i	0.0179378	+	0.00225942i
$749$	−17.3377	+	43.6047i	−0.633507	+	1.59328i
$750$	4.07019	−	7.25186i	0.148622	−	0.264800i
$751$	−2.32939	−	15.4545i	−0.0850006	−	0.563942i	−0.990276	−	0.139117i	$-0.955574\pi$
$751$	−2.32939	−	15.4545i	−0.0850006	−	0.563942i	0.905275	−	0.424825i	$-0.139664\pi$
$752$	−37.5810	−	15.8977i	−1.37044	−	0.579729i
$753$	11.0654	+	19.1658i	0.403245	+	0.698440i
$754$	3.03115	−	0.975474i	0.110388	−	0.0355247i
$755$	−38.7759	+	18.6735i	−1.41120	+	0.679597i
$756$	4.96313	+	1.83503i	0.180507	+	0.0667393i
$757$	37.7891	+	18.1983i	1.37347	+	0.661428i	0.967596	−	0.252502i	$-0.0812533\pi$
$757$	37.7891	+	18.1983i	1.37347	+	0.661428i	0.405873	+	0.913930i	$0.366968\pi$
$758$	13.8031	+	1.90926i	0.501350	+	0.0693473i
$759$	1.35677	−	1.25890i	0.0492476	−	0.0456951i
$760$	−3.72756	−	33.3673i	−0.135213	−	1.21036i
$761$	1.99850	+	2.93127i	0.0724457	+	0.106258i	0.860752	−	0.509025i	$-0.169994\pi$
$761$	1.99850	+	2.93127i	0.0724457	+	0.106258i	−0.788306	+	0.615283i	$0.789042\pi$
$762$	−0.561829	−	1.38190i	−0.0203529	−	0.0500611i
$763$	17.1814	−	3.84125i	0.622008	−	0.139062i
$764$	−27.7038	+	16.9054i	−1.00229	+	0.611616i
$765$	−1.38212	+	2.39390i	−0.0499707	+	0.0865517i
$766$	7.40127	+	1.59493i	0.267419	+	0.0576273i
$767$	−11.4255	+	16.7581i	−0.412550	+	0.605100i
$768$	13.6737	−	8.30843i	0.493407	−	0.299804i
$769$	21.9206	−	5.00323i	0.790476	−	0.180421i	0.191823	−	0.981430i	$-0.438560\pi$
$769$	21.9206	−	5.00323i	0.790476	−	0.180421i	0.598653	+	0.801009i	$0.295703\pi$
$770$	−1.66616	−	2.05659i	−0.0600441	−	0.0741143i
$771$	8.40184	+	1.91766i	0.302585	+	0.0690630i

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.ba (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(1.40887 - 0.122812i) q^{2} +(0.988831 + 0.149042i) q^{3} +(1.96983 - 0.346052i) q^{4} +(-2.61791 + 1.02745i) q^{5} +(1.41144 + 0.0885414i) q^{6} +(2.63745 + 0.209446i) q^{7} +(2.73274 - 0.729461i) q^{8} +(0.955573 + 0.294755i) q^{9} +O(q^{10})\)	\(q+(1.40887 - 0.122812i) q^{2} +(0.988831 + 0.149042i) q^{3} +(1.96983 - 0.346052i) q^{4} +(-2.61791 + 1.02745i) q^{5} +(1.41144 + 0.0885414i) q^{6} +(2.63745 + 0.209446i) q^{7} +(2.73274 - 0.729461i) q^{8} +(0.955573 + 0.294755i) q^{9} +(-3.56211 + 1.76906i) q^{10} +(0.0741409 + 0.240359i) q^{11} +(1.99941 - 0.0485979i) q^{12} +(1.99817 + 0.456069i) q^{13} +(3.74155 - 0.0288269i) q^{14} +(-2.74180 + 0.625798i) q^{15} +(3.76050 - 1.36333i) q^{16} +(0.553691 - 0.812116i) q^{17} +(1.38248 + 0.297917i) q^{18} +(-2.11045 + 3.65541i) q^{19} +(-4.80129 + 2.92984i) q^{20} +(2.57677 + 0.600198i) q^{21} +(0.133974 + 0.329529i) q^{22} +(-4.14505 - 6.07967i) q^{23} +(2.81094 - 0.314019i) q^{24} +(2.13251 - 1.97868i) q^{25} +(2.87118 + 0.397144i) q^{26} +(0.900969 + 0.433884i) q^{27} +(5.26782 - 0.500119i) q^{28} +(0.989785 - 0.476655i) q^{29} +(-3.78599 + 1.21839i) q^{30} +(4.36774 + 7.56514i) q^{31} +(5.13062 - 2.38259i) q^{32} +(0.0374892 + 0.248725i) q^{33} +(0.680342 - 1.21217i) q^{34} +(-7.11978 + 2.16154i) q^{35} +(1.98432 + 0.249941i) q^{36} +(0.541656 - 7.22789i) q^{37} +(-2.52443 + 5.40919i) q^{38} +(1.90788 + 0.748787i) q^{39} +(-6.40458 + 4.71742i) q^{40} +(-4.29173 - 3.42254i) q^{41} +(3.70405 + 0.529144i) q^{42} +(-4.26544 + 3.40157i) q^{43} +(0.229222 + 0.447811i) q^{44} +(-2.80445 + 0.210164i) q^{45} +(-6.58649 - 8.05641i) q^{46} +(-7.47808 - 6.93865i) q^{47} +(3.92169 - 0.787629i) q^{48} +(6.91226 + 1.10481i) q^{49} +(2.76143 - 3.04960i) q^{50} +(0.668547 - 0.720522i) q^{51} +(4.09389 + 0.206911i) q^{52} +(-0.250022 - 3.33632i) q^{53} +(1.32263 + 0.500637i) q^{54} +(-0.441051 - 0.553061i) q^{55} +(7.36025 - 1.35155i) q^{56} +(-2.63169 + 3.30004i) q^{57} +(1.33594 - 0.793103i) q^{58} +(-3.61541 + 9.21191i) q^{59} +(-5.18433 + 2.18152i) q^{60} +(-8.77846 - 0.657855i) q^{61} +(7.08266 + 10.1219i) q^{62} +(2.45854 + 0.977542i) q^{63} +(6.93577 - 3.98686i) q^{64} +(-5.69961 + 0.859078i) q^{65} +(0.0833637 + 0.345817i) q^{66} +(-3.02809 + 1.74827i) q^{67} +(0.809647 - 1.79134i) q^{68} +(-3.19262 - 6.62955i) q^{69} +(-9.76540 + 3.91973i) q^{70} +(1.80982 - 3.75813i) q^{71} +(2.82635 + 0.108438i) q^{72} +(-11.3963 - 12.2823i) q^{73} +(-0.124547 - 10.2497i) q^{74} +(2.40360 - 1.63875i) q^{75} +(-2.89228 + 7.93088i) q^{76} +(0.145201 + 0.649463i) q^{77} +(2.77992 + 0.820635i) q^{78} +(-7.19109 - 4.15178i) q^{79} +(-8.44387 + 7.43280i) q^{80} +(0.826239 + 0.563320i) q^{81} +(-6.46682 - 4.29484i) q^{82} +(0.432683 + 1.89571i) q^{83} +(5.28352 + 0.290594i) q^{84} +(-0.615101 + 2.69493i) q^{85} +(-5.59170 + 5.31622i) q^{86} +(1.04977 - 0.323812i) q^{87} +(0.377941 + 0.602757i) q^{88} +(-0.340395 + 1.10353i) q^{89} +(-3.92529 + 0.640513i) q^{90} +(5.17455 + 1.62137i) q^{91} +(-10.2689 - 10.5415i) q^{92} +(3.19143 + 8.13162i) q^{93} +(-11.3878 - 8.85726i) q^{94} +(1.76921 - 11.7379i) q^{95} +(5.42842 - 1.59130i) q^{96} -5.11450i q^{97} +(9.87417 + 0.707623i) q^{98} +0.251534i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9}+O(q^{10}) \) 336 * q - 28 * q^3 + 2 * q^7 - 6 * q^8 + 28 * q^9	\( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9} + 41 q^{10} + 6 q^{11} + 52 q^{14} + 20 q^{16} - 6 q^{19} - 25 q^{20} + 4 q^{21} + 6 q^{22} + 9 q^{24} - 26 q^{25} - 18 q^{26} + 56 q^{27} + 5 q^{30} + 2 q^{31} + 15 q^{32} + 6 q^{33} + 44 q^{34} - 12 q^{35} + 16 q^{37} - 100 q^{38} + 8 q^{39} - 7 q^{40} - 7 q^{42} - 53 q^{44} - 10 q^{46} + 4 q^{47} + 8 q^{48} - 4 q^{49} - 114 q^{50} - 28 q^{52} - 4 q^{53} + q^{56} - 12 q^{57} + 27 q^{58} - 10 q^{59} - 7 q^{60} + 2 q^{61} - 16 q^{62} - 12 q^{63} - 84 q^{64} - 4 q^{65} + 21 q^{66} + 42 q^{67} + 26 q^{68} - 70 q^{70} + 28 q^{71} + 15 q^{72} + 18 q^{73} + 20 q^{74} + 54 q^{75} + 49 q^{76} - 8 q^{77} - 6 q^{78} - 6 q^{79} - 40 q^{80} + 28 q^{81} - 99 q^{82} + 10 q^{83} + 54 q^{84} + 24 q^{85} - 314 q^{86} - 40 q^{88} + 20 q^{90} - 34 q^{91} + 14 q^{92} - 2 q^{93} - 152 q^{94} - 24 q^{95} - 10 q^{96} - 156 q^{98}+O(q^{100}) \) 336 * q - 28 * q^3 + 2 * q^7 - 6 * q^8 + 28 * q^9 + 41 * q^10 + 6 * q^11 + 52 * q^14 + 20 * q^16 - 6 * q^19 - 25 * q^20 + 4 * q^21 + 6 * q^22 + 9 * q^24 - 26 * q^25 - 18 * q^26 + 56 * q^27 + 5 * q^30 + 2 * q^31 + 15 * q^32 + 6 * q^33 + 44 * q^34 - 12 * q^35 + 16 * q^37 - 100 * q^38 + 8 * q^39 - 7 * q^40 - 7 * q^42 - 53 * q^44 - 10 * q^46 + 4 * q^47 + 8 * q^48 - 4 * q^49 - 114 * q^50 - 28 * q^52 - 4 * q^53 + q^56 - 12 * q^57 + 27 * q^58 - 10 * q^59 - 7 * q^60 + 2 * q^61 - 16 * q^62 - 12 * q^63 - 84 * q^64 - 4 * q^65 + 21 * q^66 + 42 * q^67 + 26 * q^68 - 70 * q^70 + 28 * q^71 + 15 * q^72 + 18 * q^73 + 20 * q^74 + 54 * q^75 + 49 * q^76 - 8 * q^77 - 6 * q^78 - 6 * q^79 - 40 * q^80 + 28 * q^81 - 99 * q^82 + 10 * q^83 + 54 * q^84 + 24 * q^85 - 314 * q^86 - 40 * q^88 + 20 * q^90 - 34 * q^91 + 14 * q^92 - 2 * q^93 - 152 * q^94 - 24 * q^95 - 10 * q^96 - 156 * q^98

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