LMFDB - Embedded newform 605.2.s.b.16.6

Newspace parameters

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.s (of order $55$, degree $40$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$880$
Relative dimension:	$22$ over $\Q(\zeta_{55})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label			16.6
Character	$\chi$	$=$	605.16
Dual form			605.2.s.b.416.6

$q$-expansion

$f(q)$	$=$	$q+(-1.56544 - 0.179618i) q^{2} +(1.90128 + 1.38136i) q^{3} +(0.470322 + 0.109369i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-2.72823 - 2.50395i) q^{6} +(-2.64879 - 2.72554i) q^{7} +(2.25154 + 0.803346i) q^{8} +(0.779664 + 2.39956i) q^{9} +O(q^{10})$	\(q+(-1.56544 - 0.179618i) q^{2} +(1.90128 + 1.38136i) q^{3} +(0.470322 + 0.109369i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-2.72823 - 2.50395i) q^{6} +(-2.64879 - 2.72554i) q^{7} +(2.25154 + 0.803346i) q^{8} +(0.779664 + 2.39956i) q^{9} +(1.03187 - 1.19084i) q^{10} +(0.907456 - 3.19007i) q^{11} +(0.743138 + 0.857627i) q^{12} +(-0.131046 + 0.217315i) q^{13} +(3.65697 + 4.74245i) q^{14} +(-2.21344 + 0.789755i) q^{15} +(-4.24701 - 2.08811i) q^{16} +(3.47672 - 2.84290i) q^{17} +(-0.789515 - 3.89641i) q^{18} +(5.20092 + 0.297399i) q^{19} +(-0.355751 + 0.326505i) q^{20} +(-1.27114 - 8.84097i) q^{21} +(-1.99356 + 4.83087i) q^{22} +(0.0344520 - 0.239619i) q^{23} +(3.17109 + 4.63758i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(0.244178 - 0.316656i) q^{26} +(0.346377 - 1.06604i) q^{27} +(-0.947696 - 1.57158i) q^{28} +(1.89222 - 4.86012i) q^{29} +(3.60687 - 0.838742i) q^{30} +(4.47021 + 1.88913i) q^{31} +(2.25125 + 1.44679i) q^{32} +(6.13197 - 4.81170i) q^{33} +(-5.95323 + 3.82591i) q^{34} +(3.74495 - 0.648089i) q^{35} +(0.104256 + 1.21384i) q^{36} +(-0.554981 + 6.46153i) q^{37} +(-8.08832 - 1.39974i) q^{38} +(-0.549346 + 0.232155i) q^{39} +(-1.93400 + 1.40514i) q^{40} +(0.676865 - 0.382243i) q^{41} +(0.401900 + 14.0683i) q^{42} +(2.38460 - 0.700182i) q^{43} +(0.775690 - 1.40111i) q^{44} +(-2.42084 - 0.710824i) q^{45} +(-0.0969725 + 0.368922i) q^{46} +(-0.953313 + 4.70479i) q^{47} +(-5.19032 - 9.83676i) q^{48} +(-0.212590 + 7.44162i) q^{49} +(0.400575 + 1.52395i) q^{50} +(10.5373 - 0.602545i) q^{51} +(-0.0854011 + 0.0878756i) q^{52} +(-7.09840 + 3.49005i) q^{53} +(-0.733712 + 1.60660i) q^{54} +(2.12110 + 2.54969i) q^{55} +(-3.77429 - 8.26455i) q^{56} +(9.47760 + 7.74980i) q^{57} +(-3.83512 + 7.26836i) q^{58} +(-0.379350 - 0.214229i) q^{59} +(-1.12741 + 0.129358i) q^{60} +(7.35018 - 0.843355i) q^{61} +(-6.65853 - 3.76024i) q^{62} +(4.47493 - 8.48093i) q^{63} +(4.06304 + 3.32233i) q^{64} +(-0.105419 - 0.230836i) q^{65} +(-10.4635 + 6.43102i) q^{66} +(5.19807 - 11.3822i) q^{67} +(1.94610 - 0.956833i) q^{68} +(0.396504 - 0.407993i) q^{69} +(-5.97891 + 0.341886i) q^{70} +(-3.47201 - 13.2089i) q^{71} +(-0.172236 + 6.02903i) q^{72} +(2.10516 + 3.98972i) q^{73} +(2.02940 - 10.0155i) q^{74} +(0.597443 - 2.27291i) q^{75} +(2.41358 + 0.708691i) q^{76} +(-11.0983 + 5.97651i) q^{77} +(0.901668 - 0.264754i) q^{78} +(-0.416684 - 14.5858i) q^{79} +(4.12087 - 2.32716i) q^{80} +(8.25471 - 5.99740i) q^{81} +(-1.12825 + 0.476803i) q^{82} +(-2.86750 - 0.496241i) q^{83} +(0.369080 - 4.29713i) q^{84} +(0.384323 + 4.47459i) q^{85} +(-3.85872 + 0.667778i) q^{86} +(10.3112 - 6.62663i) q^{87} +(4.60590 - 6.45355i) q^{88} +(2.74169 + 1.76198i) q^{89} +(3.66201 + 1.54758i) q^{90} +(0.939413 - 0.218451i) q^{91} +(0.0424104 - 0.108930i) q^{92} +(5.88956 + 9.76674i) q^{93} +(2.33742 - 7.19384i) q^{94} +(-3.18112 + 4.12535i) q^{95} +(2.28172 + 5.86055i) q^{96} +(4.83614 + 7.07263i) q^{97} +(1.66945 - 11.6112i) q^{98} +(8.36226 - 0.309686i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) $	\( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$1$	$e\left(\frac{2}{55}\right)$

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 $

$2$	−1.56544	−	0.179618i	−1.10693	−	0.127009i	−0.458804	−	0.888538i	$-0.651722\pi$
$2$	−1.56544	−	0.179618i	−1.10693	−	0.127009i	−0.648131	+	0.761529i	$0.724449\pi$
$3$	1.90128	+	1.38136i	1.09771	+	0.797531i	0.980684	−	0.195599i	$-0.0626650\pi$
$3$	1.90128	+	1.38136i	1.09771	+	0.797531i	0.117023	+	0.993129i	$0.462665\pi$
$4$	0.470322	+	0.109369i	0.235161	+	0.0546844i
$5$	−0.564443	+	0.825472i	−0.252427	+	0.369162i
$5$	−0.564443	+	0.825472i	−0.252427	+	0.369162i
$6$	−2.72823	−	2.50395i	−1.11380	−	1.02223i
$7$	−2.64879	−	2.72554i	−1.00115	−	1.03016i	−0.999545	−	0.0301588i	$-0.990399\pi$
$7$	−2.64879	−	2.72554i	−1.00115	−	1.03016i	−0.00160345	−	0.999999i	$-0.500510\pi$
$8$	2.25154	+	0.803346i	0.796038	+	0.284026i
$9$	0.779664	+	2.39956i	0.259888	+	0.799853i
$10$	1.03187	−	1.19084i	0.326307	−	0.376578i
$11$	0.907456	−	3.19007i	0.273608	−	0.961841i
$11$	0.907456	−	3.19007i	0.273608	−	0.961841i
$12$	0.743138	+	0.857627i	0.214525	+	0.247575i
$13$	−0.131046	+	0.217315i	−0.0363455	+	0.0602723i	−0.873991	−	0.485941i	$-0.838477\pi$
$13$	−0.131046	+	0.217315i	−0.0363455	+	0.0602723i	0.837646	+	0.546214i	$0.183931\pi$
$14$	3.65697	+	4.74245i	0.977367	+	1.26747i
$15$	−2.21344	+	0.789755i	−0.571509	+	0.203914i
$16$	−4.24701	−	2.08811i	−1.06175	−	0.522028i
$17$	3.47672	−	2.84290i	0.843228	−	0.689504i	−0.109282	−	0.994011i	$-0.534855\pi$
$17$	3.47672	−	2.84290i	0.843228	−	0.689504i	0.952510	+	0.304507i	$0.0984917\pi$
$18$	−0.789515	−	3.89641i	−0.186091	−	0.918393i
$19$	5.20092	+	0.297399i	1.19317	+	0.0682281i	0.642361	−	0.766402i	$-0.277955\pi$
$19$	5.20092	+	0.297399i	1.19317	+	0.0682281i	0.550811	+	0.834630i	$0.314319\pi$
$20$	−0.355751	+	0.326505i	−0.0795483	+	0.0730088i
$21$	−1.27114	−	8.84097i	−0.277385	−	1.92926i
$22$	−1.99356	+	4.83087i	−0.425029	+	1.02994i
$23$	0.0344520	−	0.239619i	0.00718375	−	0.0499641i	−0.985914	−	0.167252i	$-0.946511\pi$
$23$	0.0344520	−	0.239619i	0.00718375	−	0.0499641i	0.993098	+	0.117287i	$0.0374199\pi$
$24$	3.17109	+	4.63758i	0.647297	+	0.946642i
$25$	−0.362808	−	0.931864i	−0.0725615	−	0.186373i
$26$	0.244178	−	0.316656i	0.0478872	−	0.0621013i
$27$	0.346377	−	1.06604i	0.0666602	−	0.205159i
$28$	−0.947696	−	1.57158i	−0.179098	−	0.297000i
$29$	1.89222	−	4.86012i	0.351376	−	0.902502i	−0.639630	−	0.768683i	$-0.720912\pi$
$29$	1.89222	−	4.86012i	0.351376	−	0.902502i	0.991006	−	0.133819i	$-0.0427240\pi$
$30$	3.60687	−	0.838742i	0.658522	−	0.153133i
$31$	4.47021	+	1.88913i	0.802873	+	0.339297i	0.751794	−	0.659398i	$-0.229189\pi$
$31$	4.47021	+	1.88913i	0.802873	+	0.339297i	0.0510785	+	0.998695i	$0.483734\pi$
$32$	2.25125	+	1.44679i	0.397968	+	0.255759i
$33$	6.13197	−	4.81170i	1.06744	−	0.837609i
$34$	−5.95323	+	3.82591i	−1.02097	+	0.656138i
$35$	3.74495	−	0.648089i	0.633012	−	0.109547i
$36$	0.104256	+	1.21384i	0.0173761	+	0.202306i
$37$	−0.554981	+	6.46153i	−0.0912383	+	1.06227i	0.797336	+	0.603536i	$0.206242\pi$
$37$	−0.554981	+	6.46153i	−0.0912383	+	1.06227i	−0.888574	+	0.458733i	$0.848303\pi$
$38$	−8.08832	−	1.39974i	−1.31210	−	0.227068i
$39$	−0.549346	+	0.232155i	−0.0879657	+	0.0371746i
$40$	−1.93400	+	1.40514i	−0.305793	+	0.222171i
$41$	0.676865	−	0.382243i	0.105709	−	0.0596964i	−0.437972	−	0.898989i	$-0.644303\pi$
$41$	0.676865	−	0.382243i	0.105709	−	0.0596964i	0.543681	+	0.839292i	$0.317030\pi$
$42$	0.401900	+	14.0683i	0.0620145	+	2.17079i
$43$	2.38460	−	0.700182i	0.363648	−	0.106777i	−0.0948037	−	0.995496i	$-0.530222\pi$
$43$	2.38460	−	0.700182i	0.363648	−	0.106777i	0.458452	+	0.888719i	$0.348404\pi$
$44$	0.775690	−	1.40111i	0.116940	−	0.211225i
$45$	−2.42084	−	0.710824i	−0.360878	−	0.105963i
$46$	−0.0969725	+	0.368922i	−0.0142978	+	0.0543945i
$47$	−0.953313	+	4.70479i	−0.139055	+	0.686264i	0.848526	+	0.529154i	$0.177490\pi$
$47$	−0.953313	+	4.70479i	−0.139055	+	0.686264i	−0.987581	+	0.157110i	$0.949782\pi$
$48$	−5.19032	−	9.83676i	−0.749159	−	1.41981i
$49$	−0.212590	+	7.44162i	−0.0303700	+	1.06309i
$50$	0.400575	+	1.52395i	0.0566499	+	0.215518i
$51$	10.5373	−	0.602545i	1.47552	−	0.0843731i
$52$	−0.0854011	+	0.0878756i	−0.0118430	+	0.0121862i
$53$	−7.09840	+	3.49005i	−0.975040	+	0.479395i	−0.857954	−	0.513727i	$-0.828264\pi$
$53$	−7.09840	+	3.49005i	−0.975040	+	0.479395i	−0.117086	+	0.993122i	$0.537355\pi$
$54$	−0.733712	+	1.60660i	−0.0998455	+	0.218631i
$55$	2.12110	+	2.54969i	0.286009	+	0.343800i
$56$	−3.77429	−	8.26455i	−0.504361	−	1.10440i
$57$	9.47760	+	7.74980i	1.25534	+	1.02649i
$58$	−3.83512	+	7.26836i	−0.503576	+	0.954383i
$59$	−0.379350	−	0.214229i	−0.0493872	−	0.0278902i	0.466842	−	0.884341i	$-0.345392\pi$
$59$	−0.379350	−	0.214229i	−0.0493872	−	0.0278902i	−0.516229	+	0.856451i	$0.672665\pi$
$60$	−1.12741	+	0.129358i	−0.145547	+	0.0167000i
$61$	7.35018	−	0.843355i	0.941094	−	0.107981i	0.370152	−	0.928971i	$-0.379305\pi$
$61$	7.35018	−	0.843355i	0.941094	−	0.107981i	0.570942	+	0.820991i	$0.306578\pi$
$62$	−6.65853	−	3.76024i	−0.845634	−	0.477551i
$63$	4.47493	−	8.48093i	0.563788	−	1.06850i
$64$	4.06304	+	3.32233i	0.507880	+	0.415292i
$65$	−0.105419	−	0.230836i	−0.0130757	−	0.0286317i
$66$	−10.4635	+	6.43102i	−1.28797	+	0.791604i
$67$	5.19807	−	11.3822i	0.635045	−	1.39055i	−0.269010	−	0.963137i	$-0.586696\pi$
$67$	5.19807	−	11.3822i	0.635045	−	1.39055i	0.904055	−	0.427417i	$-0.140576\pi$
$68$	1.94610	−	0.956833i	0.235999	−	0.116033i
$69$	0.396504	−	0.407993i	0.0477335	−	0.0491166i
$70$	−5.97891	+	0.341886i	−0.714616	+	0.0408632i
$71$	−3.47201	−	13.2089i	−0.412051	−	1.56761i	−0.772617	−	0.634872i	$-0.781053\pi$
$71$	−3.47201	−	13.2089i	−0.412051	−	1.56761i	0.360566	−	0.932734i	$-0.382584\pi$
$72$	−0.172236	+	6.02903i	−0.0202982	+	0.710528i
$73$	2.10516	+	3.98972i	0.246390	+	0.466961i	0.976253	−	0.216632i	$-0.0695072\pi$
$73$	2.10516	+	3.98972i	0.246390	+	0.466961i	−0.729863	+	0.683593i	$0.760416\pi$
$74$	2.02940	−	10.0155i	0.235912	−	1.16427i
$75$	0.597443	−	2.27291i	0.0689867	−	0.262453i
$76$	2.41358	+	0.708691i	0.276857	+	0.0812924i
$77$	−11.0983	+	5.97651i	−1.26477	+	0.681086i
$78$	0.901668	−	0.264754i	0.102094	−	0.0299774i
$79$	−0.416684	−	14.5858i	−0.0468806	−	1.64103i	−0.594348	−	0.804208i	$-0.702590\pi$
$79$	−0.416684	−	14.5858i	−0.0468806	−	1.64103i	0.547468	−	0.836827i	$-0.315592\pi$
$80$	4.12087	−	2.32716i	0.460728	−	0.260185i
$81$	8.25471	−	5.99740i	0.917190	−	0.666377i
$82$	−1.12825	+	0.476803i	−0.124595	+	0.0526541i
$83$	−2.86750	−	0.496241i	−0.314750	−	0.0544696i	0.0109585	−	0.999940i	$-0.496512\pi$
$83$	−2.86750	−	0.496241i	−0.314750	−	0.0544696i	−0.325708	+	0.945470i	$0.605603\pi$
$84$	0.369080	−	4.29713i	0.0402700	−	0.468855i
$85$	0.384323	+	4.47459i	0.0416856	+	0.485337i
$86$	−3.85872	+	0.667778i	−0.416096	+	0.0720083i
$87$	10.3112	−	6.62663i	1.10548	−	0.710449i
$88$	4.60590	−	6.45355i	0.490990	−	0.687950i
$89$	2.74169	+	1.76198i	0.290619	+	0.186769i	0.677824	−	0.735224i	$-0.262923\pi$
$89$	2.74169	+	1.76198i	0.290619	+	0.186769i	−0.387205	+	0.921994i	$0.626559\pi$
$90$	3.66201	+	1.54758i	0.386010	+	0.163129i
$91$	0.939413	−	0.218451i	0.0984772	−	0.0228999i
$92$	0.0424104	−	0.108930i	0.00442159	−	0.0113568i
$93$	5.88956	+	9.76674i	0.610719	+	1.01276i
$94$	2.33742	−	7.19384i	0.241086	−	0.741988i
$95$	−3.18112	+	4.12535i	−0.326376	+	0.423252i
$96$	2.28172	+	5.86055i	0.232877	+	0.598140i
$97$	4.83614	+	7.07263i	0.491035	+	0.718117i	0.988808	−	0.149191i	$-0.0476669\pi$
$97$	4.83614	+	7.07263i	0.491035	+	0.718117i	−0.497773	+	0.867307i	$0.665849\pi$
$98$	1.66945	−	11.6112i	0.168639	−	1.17291i
$99$	8.36226	−	0.309686i	0.840439	−	0.0311246i
$100$	−0.0687197	−	0.477956i	−0.00687197	−	0.0477956i
$101$	9.13978	−	8.38842i	0.909442	−	0.834679i	−0.0772943	−	0.997008i	$-0.524628\pi$
$101$	9.13978	−	8.38842i	0.909442	−	0.834679i	0.986737	+	0.162330i	$0.0519008\pi$
$102$	−16.6038	−	0.949437i	−1.64402	−	0.0940083i
$103$	2.45779	+	12.1297i	0.242173	+	1.19517i	0.897909	+	0.440181i	$0.145086\pi$
$103$	2.45779	+	12.1297i	0.242173	+	1.19517i	−0.655736	+	0.754990i	$0.727642\pi$
$104$	−0.469633	+	0.384017i	−0.0460513	+	0.0376560i
$105$	8.01546	+	3.94093i	0.782229	+	0.384596i
$106$	11.7390	−	4.18847i	1.14019	−	0.406820i
$107$	−4.79071	−	6.21271i	−0.463136	−	0.600605i	0.501185	−	0.865340i	$-0.332897\pi$
$107$	−4.79071	−	6.21271i	−0.463136	−	0.600605i	−0.964321	+	0.264735i	$0.914716\pi$
$108$	0.279500	−	0.463498i	0.0268949	−	0.0446001i
$109$	−10.7966	−	12.4599i	−1.03413	−	1.19345i	−0.980830	−	0.194868i	$-0.937572\pi$
$109$	−10.7966	−	12.4599i	−1.03413	−	1.19345i	−0.0532977	−	0.998579i	$-0.516973\pi$
$110$	−2.86249	−	4.37238i	−0.272928	−	0.416890i
$111$	−9.98090	+	11.5186i	−0.947345	+	1.09329i
$112$	5.55819	+	17.1064i	0.525200	+	1.61640i
$113$	−6.48790	−	2.31488i	−0.610330	−	0.217765i	0.0127557	−	0.999919i	$-0.495940\pi$
$113$	−6.48790	−	2.31488i	−0.610330	−	0.217765i	−0.623086	+	0.782153i	$0.714121\pi$
$114$	−13.4446	−	13.8342i	−1.25921	−	1.29569i
$115$	0.178353	+	0.163691i	0.0166315	+	0.0152642i
$116$	1.42150	−	2.07887i	0.131983	−	0.193019i
$117$	−0.623631	−	0.145019i	−0.0576547	−	0.0134070i
$118$	0.555372	+	0.403501i	0.0511261	+	0.0371453i
$119$	−16.9575	−	1.94569i	−1.55449	−	0.178362i
$120$	−5.61809			−0.512859
$121$	−9.35305	−	5.78969i	−0.850277	−	0.526335i
$122$	−11.6578			−1.05544
$123$	1.81493	+	0.208244i	0.163647	+	0.0187767i
$124$	1.89583	+	1.37740i	0.170250	+	0.123694i
$125$	0.974012	+	0.226497i	0.0871183	+	0.0202585i
$126$	−8.52857	+	12.4726i	−0.759785	+	1.11115i
$127$	13.0853	+	12.0096i	1.16113	+	1.06568i	0.996854	+	0.0792652i	$0.0252574\pi$
$127$	13.0853	+	12.0096i	1.16113	+	1.06568i	0.164280	+	0.986414i	$0.447470\pi$
$128$	−9.49380	−	9.76889i	−0.839142	−	0.863456i
$129$	5.50101	+	1.96276i	0.484337	+	0.172811i
$130$	0.123566	+	0.380296i	0.0108374	+	0.0333542i
$131$	−6.12551	+	7.06921i	−0.535188	+	0.617640i	−0.957368	−	0.288872i	$-0.906720\pi$
$131$	−6.12551	+	7.06921i	−0.535188	+	0.617640i	0.422180	+	0.906512i	$0.361265\pi$
$132$	3.41025	−	1.59240i	0.296824	−	0.138601i
$133$	−12.9656	−	14.9631i	−1.12426	−	1.29746i
$134$	−10.1817	+	16.8845i	−0.879566	+	1.45860i
$135$	0.684474	+	0.887642i	0.0589102	+	0.0763961i
$136$	10.1118	−	3.60788i	0.867078	−	0.309373i
$137$	−12.4179	−	6.10545i	−1.06093	−	0.521624i	−0.174581	−	0.984643i	$-0.555857\pi$
$137$	−12.4179	−	6.10545i	−1.06093	−	0.521624i	−0.886348	+	0.463019i	$0.846766\pi$
$138$	−0.693987	+	0.567471i	−0.0590761	+	0.0483063i
$139$	1.93791	+	9.56398i	0.164372	+	0.811207i	0.974401	+	0.224817i	$0.0721784\pi$
$139$	1.93791	+	9.56398i	0.164372	+	0.811207i	−0.810029	+	0.586389i	$0.800549\pi$
$140$	1.83221	+	0.104770i	0.154850	+	0.00885466i
$141$	−8.31154	+	7.62826i	−0.699958	+	0.642416i
$142$	3.06268	+	21.3014i	0.257014	+	1.78757i
$143$	0.574330	+	0.615248i	0.0480279	+	0.0514496i
$144$	1.69931	−	11.8190i	0.141609	−	0.984914i
$145$	2.94384	+	4.30524i	0.244473	+	0.357530i
$146$	−2.57888	−	6.62380i	−0.213430	−	0.548189i
$147$	−10.6838	+	13.8550i	−0.881184	+	1.14274i
$148$	−0.967709	+	2.97830i	−0.0795452	+	0.244815i
$149$	−4.51934	−	7.49448i	−0.370238	−	0.613971i	0.614314	−	0.789062i	$-0.289433\pi$
$149$	−4.51934	−	7.49448i	−0.370238	−	0.613971i	−0.984552	+	0.175090i	$0.943978\pi$
$150$	−1.34352	+	3.45079i	−0.109698	+	0.281756i
$151$	−20.2117	+	4.70003i	−1.64481	+	0.382483i	−0.943759	−	0.330633i	$-0.892738\pi$
$151$	−20.2117	+	4.70003i	−1.64481	+	0.382483i	−0.701046	+	0.713116i	$0.747283\pi$
$152$	11.4711	+	4.84774i	0.930432	+	0.393204i
$153$	9.53237	+	6.12608i	0.770646	+	0.495264i
$154$	18.4473	−	7.36242i	1.48652	−	0.593281i
$155$	−4.08260	+	2.62373i	−0.327922	+	0.210743i
$156$	−0.283760	+	0.0491066i	−0.0227190	+	0.00393167i
$157$	1.46999	+	17.1148i	0.117318	+	1.36591i	0.784091	+	0.620646i	$0.213130\pi$
$157$	1.46999	+	17.1148i	0.117318	+	1.36591i	−0.666773	+	0.745261i	$0.732325\pi$
$158$	−1.96758	+	22.9081i	−0.156532	+	1.82247i
$159$	−18.3171	−	3.16990i	−1.45264	−	0.251389i
$160$	−2.46499	+	1.04171i	−0.194874	+	0.0823545i
$161$	−0.744348	+	0.540801i	−0.0586629	+	0.0426211i
$162$	−13.9995	+	7.90588i	−1.09990	+	0.621145i
$163$	0.233148	+	8.16125i	0.0182616	+	0.639238i	0.956247	+	0.292562i	$0.0945078\pi$
$163$	0.233148	+	8.16125i	0.0182616	+	0.639238i	−0.937985	+	0.346676i	$0.887310\pi$
$164$	0.360150	−	0.105750i	0.0281230	−	0.00825766i
$165$	0.510769	+	7.77770i	0.0397633	+	0.605493i
$166$	4.39978	+	1.29189i	0.341489	+	0.100270i
$167$	−2.77587	+	10.5605i	−0.214803	+	0.817197i	0.769194	+	0.639015i	$0.220658\pi$
$167$	−2.77587	+	10.5605i	−0.214803	+	0.817197i	−0.983998	+	0.178182i	$0.942978\pi$
$168$	4.24034	−	20.9269i	0.327150	−	1.61455i
$169$	6.03662	+	11.4407i	0.464356	+	0.880052i
$170$	0.202080	−	7.07374i	0.0154989	−	0.542531i
$171$	3.34134	+	12.7118i	0.255519	+	0.972094i
$172$	1.19811	−	0.0685103i	0.0913549	−	0.00522386i
$173$	−7.87239	+	8.10050i	−0.598527	+	0.615870i	−0.946916	−	0.321480i	$-0.895820\pi$
$173$	−7.87239	+	8.10050i	−0.598527	+	0.615870i	0.348389	+	0.937350i	$0.386729\pi$
$174$	−17.3319	+	8.52152i	−1.31393	+	0.646015i
$175$	−1.57883	+	3.45716i	−0.119348	+	0.261337i
$176$	−10.5152	+	11.6534i	−0.792612	+	0.878406i
$177$	−0.425325	−	0.931331i	−0.0319694	−	0.0700031i
$178$	−3.97548	−	3.25073i	−0.297975	−	0.243653i
$179$	10.8876	−	20.6343i	0.813779	−	1.54228i	−0.0261961	−	0.999657i	$-0.508339\pi$
$179$	10.8876	−	20.6343i	0.813779	−	1.54228i	0.839975	−	0.542625i	$-0.182570\pi$
$180$	−1.06083	−	0.599081i	−0.0790699	−	0.0446528i
$181$	−17.0738	+	1.95904i	−1.26909	+	0.145614i	−0.722254	−	0.691628i	$-0.756894\pi$
$181$	−17.0738	+	1.95904i	−1.26909	+	0.145614i	−0.546833	+	0.837242i	$0.684167\pi$
$182$	−1.50983	+	0.173237i	−0.111916	+	0.0128412i
$183$	15.1398	+	8.54982i	1.11916	+	0.632021i
$184$	0.270067	−	0.511834i	0.0199096	−	0.0377329i
$185$	−5.02055	−	4.10529i	−0.369118	−	0.301827i
$186$	−7.46549	−	16.3471i	−0.547396	−	1.19863i
$187$	−5.91406	−	13.6708i	−0.432479	−	0.999705i
$188$	−0.962921	+	2.10850i	−0.0702282	+	0.153778i
$189$	−3.82301	+	1.87965i	−0.278083	+	0.136724i
$190$	5.72084	−	5.88660i	0.415033	−	0.427059i
$191$	22.0678	−	1.26188i	1.59677	−	0.0913067i	0.764109	−	0.645087i	$-0.223179\pi$
$191$	22.0678	−	1.26188i	1.59677	−	0.0913067i	0.832663	+	0.553781i	$0.186815\pi$
$192$	3.13565	+	11.9292i	0.226296	+	0.860918i
$193$	0.362717	−	12.6968i	0.0261090	−	0.913933i	−0.875971	−	0.482364i	$-0.839778\pi$
$193$	0.362717	−	12.6968i	0.0261090	−	0.913933i	0.902080	−	0.431569i	$-0.142040\pi$
$194$	−6.30032	−	11.9404i	−0.452337	−	0.857274i
$195$	0.118437	−	0.584508i	0.00848143	−	0.0418575i
$196$	−0.913867	+	3.47671i	−0.0652762	+	0.248336i
$197$	−11.3547	−	3.33404i	−0.808989	−	0.237541i	−0.149021	−	0.988834i	$-0.547612\pi$
$197$	−11.3547	−	3.33404i	−0.808989	−	0.237541i	−0.659968	+	0.751294i	$0.729430\pi$
$198$	−13.1463	−	1.01722i	−0.934264	−	0.0722903i
$199$	4.56574	−	1.34062i	0.323657	−	0.0950343i	−0.115868	−	0.993265i	$-0.536965\pi$
$199$	4.56574	−	1.34062i	0.323657	−	0.0950343i	0.439525	+	0.898230i	$0.355147\pi$
$200$	−0.0682649	−	2.38958i	−0.00482706	−	0.168969i
$201$	25.6059	−	14.4603i	1.80610	−	1.01995i
$202$	−15.8145	+	11.4899i	−1.11270	+	0.808427i
$203$	−18.2585	+	7.71613i	−1.28150	+	0.541566i
$204$	5.02182	+	0.869061i	0.351598	+	0.0608464i
$205$	−0.0665208	+	0.774488i	−0.00464602	+	0.0540926i
$206$	−1.66882	−	19.4297i	−0.116272	−	1.35373i
$207$	0.601841	−	0.104153i	0.0418309	−	0.00723912i
$208$	1.01033	−	0.649299i	0.0700538	−	0.0450208i
$209$	5.66833	−	16.3214i	0.392086	−	1.12897i
$210$	−11.8399	−	7.60902i	−0.817029	−	0.525072i
$211$	12.2907	+	5.19411i	0.846130	+	0.357578i	0.768848	−	0.639432i	$-0.220830\pi$
$211$	12.2907	+	5.19411i	0.846130	+	0.357578i	0.0772822	+	0.997009i	$0.475376\pi$
$212$	−3.72023	+	0.865103i	−0.255507	+	0.0594155i
$213$	11.6450	−	29.9099i	0.797902	−	2.04940i
$214$	6.38367	+	10.5861i	0.436379	+	0.723653i
$215$	−0.767991	+	2.36363i	−0.0523766	+	0.161198i
$216$	1.63628	−	2.12196i	0.111335	−	0.144381i
$217$	−6.69175	−	17.1876i	−0.454266	−	1.16677i
$218$	14.6634	+	21.4446i	0.993133	+	1.45241i
$219$	−1.50875	+	10.4936i	−0.101952	+	0.709090i
$220$	0.718745	+	1.43116i	0.0484578	+	0.0964887i
$221$	0.162195	+	1.12809i	0.0109104	+	0.0758836i
$222$	17.6935	−	16.2389i	1.18751	−	1.08988i
$223$	−6.55761	−	0.374978i	−0.439130	−	0.0251104i	−0.163874	−	0.986481i	$-0.552399\pi$
$223$	−6.55761	−	0.374978i	−0.439130	−	0.0251104i	−0.275256	+	0.961371i	$0.588763\pi$
$224$	−2.01980	−	9.96811i	−0.134954	−	0.666022i
$225$	1.95319	−	1.59712i	0.130213	−	0.106475i
$226$	9.74064	+	4.78915i	0.647938	+	0.318570i
$227$	−10.2379	+	3.65287i	−0.679513	+	0.242450i	−0.653179	−	0.757204i	$-0.726565\pi$
$227$	−10.2379	+	3.65287i	−0.679513	+	0.242450i	−0.0263337	+	0.999653i	$0.508383\pi$
$228$	3.60994	+	4.68145i	0.239074	+	0.310037i
$229$	−5.84447	+	9.69197i	−0.386214	+	0.640463i	−0.987327	−	0.158700i	$-0.949270\pi$
$229$	−5.84447	+	9.69197i	−0.386214	+	0.640463i	0.601113	+	0.799164i	$0.294724\pi$
$230$	−0.249799	−	0.288283i	−0.0164713	−	0.0190088i
$231$	−29.3568	−	3.96777i	−1.93153	−	0.261060i
$232$	8.16476	−	9.42263i	0.536042	−	0.618626i
$233$	3.01626	+	9.28309i	0.197602	+	0.608156i	0.999936	+	0.0112811i	$0.00359096\pi$
$233$	3.01626	+	9.28309i	0.197602	+	0.608156i	−0.802335	+	0.596874i	$0.796409\pi$
$234$	0.950210	+	0.339034i	0.0621172	+	0.0221634i
$235$	−3.34558	−	3.44252i	−0.218241	−	0.224565i
$236$	−0.154987	−	0.142246i	−0.0100888	−	0.00925941i
$237$	19.3561	−	28.3074i	1.25731	−	1.83876i
$238$	26.1965	+	6.09174i	1.69807	+	0.394869i
$239$	8.58677	+	6.23865i	0.555432	+	0.403545i	0.829784	−	0.558084i	$-0.188463\pi$
$239$	8.58677	+	6.23865i	0.555432	+	0.403545i	−0.274352	+	0.961629i	$0.588463\pi$
$240$	11.0496	+	1.26782i	0.713249	+	0.0818377i
$241$	−10.9418			−0.704823			−0.352412	−	0.935845i	$-0.614638\pi$
$241$	−10.9418			−0.704823			−0.352412	+	0.935845i	$0.614638\pi$
$242$	13.6017	+	10.7434i	0.874352	+	0.690612i
$243$	20.6164			1.32254
$244$	3.54919	+	0.407231i	0.227214	+	0.0260703i
$245$	−6.02286	−	4.37586i	−0.384786	−	0.279564i
$246$	−2.80376	−	0.651987i	−0.178761	−	0.0415692i
$247$	−0.746187	+	1.09126i	−0.0474787	+	0.0694354i
$248$	8.54721	+	7.84455i	0.542748	+	0.498130i
$249$	−4.76645	−	4.90456i	−0.302062	−	0.310814i
$250$	−1.48408	−	0.529517i	−0.0938612	−	0.0334896i
$251$	3.51966	+	10.8324i	0.222159	+	0.683734i	0.998568	+	0.0535048i	$0.0170393\pi$
$251$	3.51966	+	10.8324i	0.222159	+	0.683734i	−0.776409	+	0.630230i	$0.782961\pi$
$252$	3.03221	−	3.49935i	0.191011	−	0.220438i
$253$	−0.733137	−	0.327348i	−0.0460920	−	0.0205802i
$254$	−18.3272	−	21.1507i	−1.14995	−	1.32711i
$255$	−5.45032	+	9.03835i	−0.341313	+	0.566003i
$256$	6.69743	+	8.68538i	0.418589	+	0.542836i
$257$	17.7148	−	6.32063i	1.10502	−	0.394270i	0.280357	−	0.959896i	$-0.409547\pi$
$257$	17.7148	−	6.32063i	1.10502	−	0.394270i	0.824662	+	0.565626i	$0.191365\pi$
$258$	−8.25896	−	4.06066i	−0.514181	−	0.252806i
$259$	19.0812	−	15.6026i	1.18565	−	0.969499i
$260$	−0.0243348	−	0.120097i	−0.00150918	−	0.00744810i
$261$	13.1374	+	0.751226i	0.813187	+	0.0464997i
$262$	10.8589	−	9.96619i	0.670864	−	0.615713i
$263$	−0.354542	−	2.46589i	−0.0218620	−	0.152053i	0.975966	−	0.217921i	$-0.0699276\pi$
$263$	−0.354542	−	2.46589i	−0.0218620	−	0.152053i	−0.997828	+	0.0658677i	$0.979018\pi$
$264$	17.6718	−	5.90760i	1.08762	−	0.363588i
$265$	1.12571	−	7.82946i	0.0691516	−	0.480960i
$266$	17.6092	+	25.7526i	1.07969	+	1.57900i
$267$	2.77880	+	7.13730i	0.170060	+	0.436796i
$268$	3.68962	−	4.78478i	0.225379	−	0.292277i
$269$	−6.68364	+	20.5701i	−0.407509	+	1.25418i	0.511273	+	0.859418i	$0.329174\pi$
$269$	−6.68364	+	20.5701i	−0.407509	+	1.25418i	−0.918782	+	0.394765i	$0.870826\pi$
$270$	−0.912069	−	1.51250i	−0.0555067	−	0.0920476i
$271$	−6.32130	+	16.2361i	−0.383992	+	0.986274i	0.598691	+	0.800980i	$0.295688\pi$
$271$	−6.32130	+	16.2361i	−0.383992	+	0.986274i	−0.982683	+	0.185295i	$0.940676\pi$
$272$	−20.7019	+	4.81403i	−1.25524	+	0.291893i
$273$	2.08785	+	0.882333i	0.126362	+	0.0534012i
$274$	18.3428	+	11.7882i	1.10813	+	0.712151i
$275$	−3.30194	+	0.311755i	−0.199114	+	0.0187995i
$276$	0.231106	−	0.148523i	0.0139110	−	0.00894004i
$277$	1.94783	−	0.337085i	0.117034	−	0.0202535i	−0.111704	−	0.993741i	$-0.535631\pi$
$277$	1.94783	−	0.337085i	0.117034	−	0.0202535i	0.228738	+	0.973488i	$0.426540\pi$
$278$	−1.31583	−	15.3199i	−0.0789183	−	0.918829i
$279$	−1.04781	+	12.1994i	−0.0627306	+	0.730359i
$280$	8.95252	+	1.54930i	0.535016	+	0.0925881i
$281$	7.31242	−	3.09025i	0.436222	−	0.184349i	−0.160089	−	0.987103i	$-0.551178\pi$
$281$	7.31242	−	3.09025i	0.436222	−	0.184349i	0.596311	+	0.802754i	$0.296633\pi$
$282$	14.3814	−	10.4487i	0.856400	−	0.622211i
$283$	−21.8098	+	12.3166i	−1.29646	+	0.732145i	−0.976548	−	0.215302i	$-0.930927\pi$
$283$	−21.8098	+	12.3166i	−1.29646	+	0.732145i	−0.319913	+	0.947447i	$0.603654\pi$
$284$	−0.188323	−	6.59216i	−0.0111749	−	0.391173i
$285$	−11.7468	+	3.44917i	−0.695821	+	0.204311i
$286$	−0.788572	−	1.06629i	−0.0466292	−	0.0630513i
$287$	−2.83469	−	0.832341i	−0.167327	−	0.0491316i
$288$	−1.71644	+	6.53001i	−0.101142	+	0.384785i
$289$	0.629458	−	3.10650i	0.0370269	−	0.182735i
$290$	−3.83512	−	7.26836i	−0.225206	−	0.426813i
$291$	−0.574997	+	20.1275i	−0.0337069	+	1.17990i
$292$	0.553752	+	2.10669i	0.0324059	+	0.123285i
$293$	−13.1413	+	0.751444i	−0.767721	+	0.0438999i	−0.436561	−	0.899675i	$-0.643804\pi$
$293$	−13.1413	+	0.751444i	−0.767721	+	0.0438999i	−0.331160	+	0.943575i	$0.607440\pi$
$294$	19.2134	−	19.7702i	1.12055	−	1.15302i
$295$	0.390962	−	0.192223i	0.0227627	−	0.0111917i
$296$	−6.44040	+	14.1025i	−0.374341	+	0.819692i
$297$	−3.08641	−	2.07235i	−0.179092	−	0.120250i
$298$	5.72862	+	12.5439i	0.331850	+	0.726650i
$299$	0.0475580	+	0.0388880i	0.00275035	+	0.00224895i
$300$	0.529575	−	1.00366i	0.0305750	−	0.0579462i
$301$	−8.22468	−	4.64469i	−0.474063	−	0.267716i
$302$	32.4845	−	3.72725i	1.86927	−	0.214479i
$303$	28.9648	−	3.32340i	1.66398	−	0.190924i
$304$	−21.4673	−	12.1232i	−1.23124	−	0.695311i
$305$	−3.45259	+	6.54339i	−0.197695	+	0.374674i
$306$	−13.8220	−	11.3022i	−0.790152	−	0.646104i
$307$	4.53365	+	9.92730i	0.258749	+	0.566581i	0.993768	−	0.111465i	$-0.0355543\pi$
$307$	4.53365	+	9.92730i	0.258749	+	0.566581i	−0.735020	+	0.678046i	$0.762827\pi$
$308$	−5.87343	+	1.59708i	−0.334669	+	0.0910018i
$309$	−12.0825	+	26.4570i	−0.687350	+	1.50509i
$310$	6.86234	−	3.37398i	0.389755	−	0.191629i
$311$	19.2780	−	19.8366i	1.09315	−	1.12483i	0.101641	−	0.994821i	$-0.467591\pi$
$311$	19.2780	−	19.8366i	1.09315	−	1.12483i	0.991513	−	0.130008i	$-0.0415004\pi$
$312$	−1.42337	+	0.0813914i	−0.0805826	+	0.00460788i
$313$	−1.83492	−	6.98075i	−0.103716	−	0.394575i	0.894953	−	0.446161i	$-0.147209\pi$
$313$	−1.83492	−	6.98075i	−0.103716	−	0.394575i	−0.998669	+	0.0515852i	$0.983573\pi$
$314$	0.772934	−	27.0562i	0.0436192	−	1.52687i
$315$	4.47493	+	8.48093i	0.252134	+	0.477846i
$316$	1.39926	−	6.90561i	0.0787144	−	0.388471i
$317$	3.35530	−	12.7649i	0.188453	−	0.716948i	−0.804033	−	0.594585i	$-0.797316\pi$
$317$	3.35530	−	12.7649i	0.188453	−	0.716948i	0.992485	−	0.122363i	$-0.0390473\pi$
$318$	28.1050	+	8.25236i	1.57605	+	0.462770i
$319$	−13.7870	−	10.4466i	−0.771924	−	0.584900i
$320$	−5.03585	+	1.47866i	−0.281512	+	0.0826595i
$321$	−0.526498	−	18.4298i	−0.0293863	−	1.02865i
$322$	1.26237	−	0.712894i	0.0703492	−	0.0397280i
$323$	18.9276	−	13.7517i	1.05316	−	0.765165i
$324$	4.53830	−	1.91790i	0.252128	−	0.106550i
$325$	0.250052	+	0.0432732i	0.0138704	+	0.00240037i
$326$	1.10092	−	12.8178i	0.0609746	−	0.709914i
$327$	−3.31569	−	38.6039i	−0.183358	−	2.13480i
$328$	1.83106	−	0.316877i	0.101103	−	0.0174966i
$329$	15.3482	−	9.86370i	0.846174	−	0.543803i
$330$	0.597434	−	12.2673i	0.0328877	−	0.675292i
$331$	11.0099	+	7.07562i	0.605158	+	0.388911i	0.807038	−	0.590499i	$-0.201069\pi$
$331$	11.0099	+	7.07562i	0.605158	+	0.388911i	−0.201881	+	0.979410i	$0.564705\pi$
$332$	−1.29438	−	0.547008i	−0.0710382	−	0.0300210i
$333$	−15.9375	+	3.70611i	−0.873370	+	0.203094i
$334$	6.24232	−	16.0333i	0.341565	−	0.877302i
$335$	6.46165	+	10.7154i	0.353038	+	0.585448i
$336$	−13.0624	+	40.2019i	−0.712613	+	2.19320i
$337$	18.5071	−	24.0005i	1.00815	−	1.30739i	0.0570933	−	0.998369i	$-0.481817\pi$
$337$	18.5071	−	24.0005i	1.00815	−	1.30739i	0.951055	−	0.309021i	$-0.100001\pi$
$338$	−7.39503	−	18.9940i	−0.402237	−	1.03314i
$339$	−9.13765	−	13.3634i	−0.496289	−	0.725800i
$340$	−0.308624	+	2.14653i	−0.0167375	+	0.116412i
$341$	10.0829	−	12.5460i	0.546022	−	0.679402i
$342$	−2.94741	−	20.4997i	−0.159378	−	1.10850i
$343$	1.24508	−	1.14272i	0.0672281	−	0.0617013i
$344$	5.93150	+	0.339175i	0.319805	+	0.0182871i
$345$	0.112983	+	0.557592i	0.00608279	+	0.0300198i
$346$	13.7788	−	11.2668i	0.740751	−	0.605709i
$347$	1.88348	+	0.926045i	0.101111	+	0.0497127i	0.491076	−	0.871117i	$-0.336604\pi$
$347$	1.88348	+	0.926045i	0.101111	+	0.0497127i	−0.389965	+	0.920830i	$0.627513\pi$
$348$	5.57435	−	1.98892i	0.298816	−	0.106617i
$349$	14.7653	+	19.1479i	0.790366	+	1.02496i	0.998897	+	0.0469491i	$0.0149499\pi$
$349$	14.7653	+	19.1479i	0.790366	+	1.02496i	−0.208531	+	0.978016i	$0.566868\pi$
$350$	3.09254	−	5.12840i	0.165303	−	0.274124i
$351$	0.186275	+	0.214972i	0.00994260	+	0.0114744i
$352$	6.65826	−	5.86873i	0.354887	−	0.312805i
$353$	−1.12979	+	1.30384i	−0.0601325	+	0.0693966i	−0.785019	−	0.619472i	$-0.787347\pi$
$353$	−1.12979	+	1.30384i	−0.0601325	+	0.0693966i	0.724886	+	0.688868i	$0.241892\pi$
$354$	0.498538	+	1.53434i	0.0264970	+	0.0815493i
$355$	12.8633	+	4.58962i	0.682714	+	0.243592i
$356$	1.09677	+	1.12855i	0.0581289	+	0.0598132i
$357$	−29.5534	−	27.1238i	−1.56413	−	1.43555i
$358$	−20.7502	+	30.3462i	−1.09668	+	1.60385i
$359$	−19.4561	−	4.52431i	−1.02685	−	0.238784i	−0.320952	−	0.947096i	$-0.604003\pi$
$359$	−19.4561	−	4.52431i	−1.02685	−	0.238784i	−0.705900	+	0.708311i	$0.749457\pi$
$360$	−4.87958	−	3.54522i	−0.257176	−	0.186850i
$361$	8.08494	+	0.927661i	0.425523	+	0.0488242i
$362$	27.0799			1.42329
$363$	−9.78513	−	23.9278i	−0.513586	−	1.25588i
$364$	0.465718			0.0244103
$365$	−4.48164	−	0.514221i	−0.234580	−	0.0269155i
$366$	−22.1647	−	16.1036i	−1.15857	−	0.841749i
$367$	−15.1749	−	3.52877i	−0.792123	−	0.184200i	−0.189136	−	0.981951i	$-0.560569\pi$
$367$	−15.1749	−	3.52877i	−0.792123	−	0.184200i	−0.602988	+	0.797751i	$0.706023\pi$
$368$	−0.646670	+	0.945725i	−0.0337100	+	0.0492993i
$369$	1.44494	+	1.32616i	0.0752207	+	0.0690370i
$370$	7.12200	+	7.32837i	0.370255	+	0.380984i
$371$	28.3144	+	10.1026i	1.47001	+	0.524499i
$372$	1.70182	+	5.23765i	0.0882350	+	0.271559i
$373$	22.7751	−	26.2839i	1.17925	−	1.36093i	0.260799	−	0.965393i	$-0.416014\pi$
$373$	22.7751	−	26.2839i	1.17925	−	1.36093i	0.918451	−	0.395534i	$-0.129441\pi$
$374$	6.80261	+	22.4631i	0.351755	+	1.16154i
$375$	1.53900	+	1.77610i	0.0794736	+	0.0917174i
$376$	−5.92599	+	9.82715i	−0.305610	+	0.506797i
$377$	0.808209	+	1.04810i	0.0416249	+	0.0539801i
$378$	6.32232	−	2.25580i	0.325185	−	0.116026i
$379$	15.7051	+	7.72166i	0.806715	+	0.396635i	0.797498	−	0.603322i	$-0.206157\pi$
$379$	15.7051	+	7.72166i	0.806715	+	0.396635i	0.00921793	+	0.999958i	$0.497066\pi$
$380$	−1.94733	+	1.59233i	−0.0998961	+	0.0816846i
$381$	8.28928	+	40.9092i	0.424673	+	2.09584i
$382$	−34.7726	−	1.98837i	−1.77912	−	0.101734i
$383$	−23.6197	+	21.6780i	−1.20691	+	1.10769i	−0.215554	+	0.976492i	$0.569156\pi$
$383$	−23.6197	+	21.6780i	−1.20691	+	1.10769i	−0.991356	+	0.131200i	$0.958117\pi$
$384$	−4.55602	−	31.6878i	−0.232499	−	1.61706i
$385$	1.33093	−	12.5347i	0.0678304	−	0.638830i
$386$	−2.84838	+	19.8109i	−0.144979	+	1.00835i
$387$	3.53931	+	5.17608i	0.179913	+	0.263115i
$388$	1.50102	+	3.85533i	0.0762027	+	0.195725i
$389$	−6.74258	+	8.74393i	−0.341862	+	0.443335i	−0.931176	−	0.364569i	$-0.881216\pi$
$389$	−6.74258	+	8.74393i	−0.341862	+	0.443335i	0.589314	+	0.807904i	$0.299398\pi$
$390$	−0.290394	+	0.893740i	−0.0147047	+	0.0452563i
$391$	−0.561433	−	0.931032i	−0.0283929	−	0.0470843i
$392$	−6.45685	+	16.5843i	−0.326120	+	0.837634i
$393$	−21.4115	+	4.97903i	−1.08007	+	0.251159i
$394$	17.1763	+	7.25875i	0.865328	+	0.365691i
$395$	12.2754	+	7.88892i	0.617642	+	0.396934i
$396$	3.96683	+	0.768918i	0.199341	+	0.0386396i
$397$	−26.0465	+	16.7391i	−1.30724	+	0.840110i	−0.993980	−	0.109559i	$-0.965056\pi$
$397$	−26.0465	+	16.7391i	−1.30724	+	0.840110i	−0.313256	+	0.949669i	$0.601420\pi$
$398$	−7.38821	+	1.27858i	−0.370337	+	0.0640894i
$399$	−3.98179	−	46.3592i	−0.199339	−	2.32086i
$400$	−0.404990	+	4.71522i	−0.0202495	+	0.235761i
$401$	5.95065	+	1.02980i	0.297161	+	0.0514258i	0.317153	−	0.948374i	$-0.397273\pi$
$401$	5.95065	+	1.02980i	0.297161	+	0.0514258i	−0.0199917	+	0.999800i	$0.506364\pi$
$402$	−42.6819	+	18.0375i	−2.12878	+	0.899630i
$403$	−0.996336	+	0.723880i	−0.0496310	+	0.0360590i
$404$	5.21607	−	2.94565i	0.259509	−	0.146552i
$405$	0.291368	+	10.1992i	0.0144782	+	0.506803i
$406$	29.9686	−	8.79959i	1.48732	−	0.436716i
$407$	20.1091	+	7.63398i	0.996770	+	0.378402i
$408$	24.2092	+	7.10845i	1.19853	+	0.351921i
$409$	−5.94689	+	22.6243i	−0.294055	+	1.11870i	0.641959	+	0.766739i	$0.278122\pi$
$409$	−5.94689	+	22.6243i	−0.294055	+	1.11870i	−0.936014	+	0.351962i	$0.885515\pi$
$410$	0.243246	−	1.20047i	0.0120131	−	0.0592869i
$411$	−15.1760	−	28.7618i	−0.748578	−	1.41871i
$412$	−0.170653	+	5.97365i	−0.00840749	+	0.294301i
$413$	0.420930	+	1.60138i	0.0207126	+	0.0787989i
$414$	−0.960855	+	0.0549437i	−0.0472235	+	0.00270034i
$415$	2.02818	−	2.08694i	0.0995593	−	0.102444i
$416$	−0.609425	+	0.299634i	−0.0298795	+	0.0146908i
$417$	−9.52681	+	20.8608i	−0.466530	+	1.02156i
$418$	−11.8050	+	24.5321i	−0.577404	+	1.19990i
$419$	3.54626	+	7.76522i	0.173246	+	0.379356i	0.976259	−	0.216605i	$-0.0694985\pi$
$419$	3.54626	+	7.76522i	0.173246	+	0.379356i	−0.803013	+	0.595961i	$0.796771\pi$
$420$	3.33883	+	2.73015i	0.162918	+	0.133218i
$421$	−11.7147	+	22.2018i	−0.570938	+	1.08205i	0.414184	+	0.910193i	$0.364067\pi$
$421$	−11.7147	+	22.2018i	−0.570938	+	1.08205i	−0.985122	+	0.171855i	$0.945024\pi$
$422$	−18.3075	−	10.3387i	−0.891195	−	0.503281i
$423$	−12.0327	+	1.38062i	−0.585049	+	0.0671281i
$424$	−18.7860	+	2.15549i	−0.912329	+	0.104680i
$425$	−3.91057	−	2.20840i	−0.189691	−	0.107123i
$426$	−23.6019	+	44.7306i	−1.14352	+	2.16721i
$427$	−21.7677	−	17.7993i	−1.05341	−	0.861371i
$428$	−1.57370	−	3.44593i	−0.0760678	−	0.166565i
$429$	0.242084	+	1.96312i	0.0116879	+	0.0947803i
$430$	1.62680	−	3.56219i	0.0784511	−	0.171784i
$431$	15.7907	−	7.76374i	0.760609	−	0.373966i	−0.0193369	−	0.999813i	$-0.506156\pi$
$431$	15.7907	−	7.76374i	0.760609	−	0.373966i	0.779946	+	0.625847i	$0.215246\pi$
$432$	−3.69707	+	3.80420i	−0.177875	+	0.183030i
$433$	19.0301	−	1.08818i	0.914527	−	0.0522945i	0.406515	−	0.913644i	$-0.366744\pi$
$433$	19.0301	−	1.08818i	0.914527	−	0.0522945i	0.508012	+	0.861350i	$0.330380\pi$
$434$	7.38835	+	28.1082i	0.354652	+	1.34924i
$435$	−0.350011	+	12.2520i	−0.0167818	+	0.587438i
$436$	−3.71515	−	7.04100i	−0.177924	−	0.337203i
$437$	0.250445	−	1.23599i	0.0119804	−	0.0591256i
$438$	4.24669	−	16.1561i	0.202915	−	0.771968i
$439$	35.6770	+	10.4757i	1.70277	+	0.499978i	0.981303	−	0.192471i	$-0.0616502\pi$
$439$	35.6770	+	10.4757i	1.70277	+	0.499978i	0.721467	+	0.692449i	$0.243468\pi$
$440$	2.72745	+	7.44470i	0.130026	+	0.354912i
$441$	−18.0224	+	5.29184i	−0.858208	+	0.251993i
$442$	−0.0512817	−	1.79509i	−0.00243922	−	0.0853839i
$443$	2.61957	−	1.47934i	0.124460	−	0.0702855i	−0.428246	−	0.903662i	$-0.640868\pi$
$443$	2.61957	−	1.47934i	0.124460	−	0.0702855i	0.552705	+	0.833377i	$0.313596\pi$
$444$	−5.95401	+	4.32584i	−0.282565	+	0.205295i
$445$	−3.00200	+	1.26865i	−0.142308	+	0.0601400i
$446$	10.1982	+	1.76487i	0.482899	+	0.0835690i
$447$	1.76006	−	20.4920i	0.0832478	−	0.969237i
$448$	−1.70699	−	19.8741i	−0.0806478	−	0.938965i
$449$	−24.2490	+	4.19646i	−1.14438	+	0.198043i	−0.711016	−	0.703176i	$-0.751765\pi$
$449$	−24.2490	+	4.19646i	−1.14438	+	0.198043i	−0.433365	+	0.901218i	$0.642674\pi$
$450$	−3.34448	+	2.14937i	−0.157660	+	0.101322i
$451$	−0.605157	−	2.50611i	−0.0284957	−	0.118008i
$452$	−2.79823	−	1.79831i	−0.131618	−	0.0845855i
$453$	−44.9206	−	18.9836i	−2.11056	−	0.891928i
$454$	16.6829	−	3.87945i	0.782969	−	0.182072i
$455$	−0.349920	+	0.898762i	−0.0164045	+	0.0421346i
$456$	15.1134	+	25.0627i	0.707749	+	1.17367i
$457$	1.23554	−	3.80261i	0.0577963	−	0.177879i	−0.917991	−	0.396602i	$-0.870189\pi$
$457$	1.23554	−	3.80261i	0.0577963	−	0.177879i	0.975787	+	0.218724i	$0.0701893\pi$
$458$	10.8900	−	14.1224i	0.508858	−	0.659899i
$459$	−1.82638	−	4.69103i	−0.0852482	−	0.218958i
$460$	0.0659806	+	0.0964935i	0.00307636	+	0.00449903i
$461$	3.31456	−	23.0533i	0.154374	−	1.07370i	−0.754402	−	0.656413i	$-0.772073\pi$
$461$	3.31456	−	23.0533i	0.154374	−	1.07370i	0.908776	−	0.417284i	$-0.137018\pi$
$462$	45.2437	+	11.4843i	2.10493	+	0.534299i
$463$	5.86450	+	40.7885i	0.272546	+	1.89560i	0.421614	+	0.906775i	$0.361464\pi$
$463$	5.86450	+	40.7885i	0.272546	+	1.89560i	−0.149067	+	0.988827i	$0.547627\pi$
$464$	−18.1847	+	16.6898i	−0.844206	+	0.774805i
$465$	−11.3865	−	0.651103i	−0.528036	−	0.0301942i
$466$	−3.05437	−	15.0739i	−0.141491	−	0.698286i
$467$	26.4349	−	21.6157i	1.22326	−	1.00026i	0.223589	−	0.974683i	$-0.428223\pi$
$467$	26.4349	−	21.6157i	1.22326	−	1.00026i	0.999673	−	0.0255730i	$-0.00814102\pi$
$468$	−0.277447	−	0.136411i	−0.0128250	−	0.00630562i
$469$	−44.7912	+	15.9815i	−2.06826	+	0.737955i
$470$	4.61897	+	5.98999i	0.213057	+	0.276298i
$471$	−20.8469	+	34.5706i	−0.960573	+	1.59293i
$472$	−0.682021	−	0.787094i	−0.0313926	−	0.0362289i
$473$	−0.0697070	−	8.24242i	−0.00320513	−	0.378987i
$474$	−35.3854	+	40.8369i	−1.62530	+	1.87570i
$475$	−1.60980	−	4.95445i	−0.0738626	−	0.227326i
$476$	−7.76270	−	2.76973i	−0.355803	−	0.126950i
$477$	−13.9089	−	14.3120i	−0.636846	−	0.655299i
$478$	−12.3215	−	11.3086i	−0.563573	−	0.517243i
$479$	19.9432	−	29.1660i	0.911228	−	1.33263i	−0.0316529	−	0.999499i	$-0.510077\pi$
$479$	19.9432	−	29.1660i	0.911228	−	1.33263i	0.942881	−	0.333130i	$-0.108105\pi$
$480$	−6.12562	−	1.42445i	−0.279595	−	0.0650170i
$481$	−1.33146	−	0.967361i	−0.0607092	−	0.0441078i
$482$	17.1288	+	1.96534i	0.780193	+	0.0895188i
$483$	−2.16226			−0.0983862
$484$	−3.76573	−	3.74595i	−0.171170	−	0.170270i
$485$	−8.56798			−0.389052
$486$	−32.2738	−	3.70308i	−1.46397	−	0.167975i
$487$	15.4367	+	11.2154i	0.699504	+	0.508219i	0.879771	−	0.475399i	$-0.157696\pi$
$487$	15.4367	+	11.2154i	0.699504	+	0.508219i	−0.180267	+	0.983618i	$0.557696\pi$
$488$	17.2267	+	4.00590i	0.779816	+	0.181338i
$489$	−10.8304	+	15.8389i	−0.489766	+	0.716260i
$490$	8.64245	+	7.93197i	0.390426	+	0.358330i
$491$	10.6547	+	10.9634i	0.480840	+	0.494773i	0.913531	−	0.406770i	$-0.133345\pi$
$491$	10.6547	+	10.9634i	0.480840	+	0.494773i	−0.432691	+	0.901542i	$0.642436\pi$
$492$	0.830826	+	0.296438i	0.0374565	+	0.0133645i
$493$	−7.23812	−	22.2766i	−0.325989	−	1.00329i
$494$	1.36412	−	1.57428i	0.0613748	−	0.0708303i
$495$	−4.46439	+	7.07761i	−0.200659	+	0.318115i
$496$	−15.0403	−	17.3574i	−0.675329	−	0.779371i
$497$	−26.8047	+	44.4507i	−1.20236	+	1.99388i
$498$	6.58066	+	8.53395i	0.294886	+	0.382415i
$499$	−16.1913	+	5.77706i	−0.724824	+	0.258617i	−0.672587	−	0.740018i	$-0.734817\pi$
$499$	−16.1913	+	5.77706i	−0.724824	+	0.258617i	−0.0522368	+	0.998635i	$0.516635\pi$
$500$	0.433328	+	0.213053i	0.0193790	+	0.00952801i
$501$	−19.8656	+	16.2440i	−0.887531	+	0.725731i
$502$	−3.56413	−	17.5897i	−0.159075	−	0.785065i
$503$	6.46664	+	0.369776i	0.288333	+	0.0164875i	0.200657	−	0.979662i	$-0.435692\pi$
$503$	6.46664	+	0.369776i	0.288333	+	0.0164875i	0.0876761	+	0.996149i	$0.472056\pi$
$504$	16.8886	−	15.5002i	0.752277	−	0.690434i
$505$	1.76551	+	12.2794i	0.0785643	+	0.546427i
$506$	1.08889	+	0.644129i	0.0484069	+	0.0286350i
$507$	−4.32639	+	30.0907i	−0.192142	+	1.33638i
$508$	4.84084	+	7.07950i	0.214777	+	0.314102i
$509$	15.1219	+	38.8404i	0.670268	+	1.72157i	0.692093	+	0.721808i	$0.256689\pi$
$509$	15.1219	+	38.8404i	0.670268	+	1.72157i	−0.0218248	+	0.999762i	$0.506948\pi$
$510$	10.1556	−	13.1700i	0.449698	−	0.583179i
$511$	5.29802	−	16.3056i	0.234370	−	0.721318i
$512$	5.14453	+	8.53124i	0.227358	+	0.377031i
$513$	2.11852	−	5.44136i	0.0935347	−	0.240242i
$514$	−28.8668	+	6.71268i	−1.27326	+	0.296084i
$515$	−11.4000	−	4.81767i	−0.502343	−	0.212292i
$516$	2.37258	+	1.52477i	0.104447	+	0.0671241i
$517$	14.1435	+	7.31052i	0.622030	+	0.321516i
$518$	−32.6730	+	20.9977i	−1.43557	+	0.922584i
$519$	−26.1574	+	4.52671i	−1.14818	+	0.198701i
$520$	−0.0519141	−	0.604424i	−0.00227658	−	0.0265058i
$521$	−0.342883	+	3.99212i	−0.0150220	+	0.174898i	0.984976	+	0.172694i	$0.0552471\pi$
$521$	−0.342883	+	3.99212i	−0.0150220	+	0.174898i	−0.999998	+	0.00220413i	$0.999298\pi$
$522$	−20.4310	−	3.53572i	−0.894239	−	0.154754i
$523$	−18.4463	+	7.79548i	−0.806601	+	0.340872i	−0.753276	−	0.657705i	$-0.771527\pi$
$523$	−18.4463	+	7.79548i	−0.806601	+	0.340872i	−0.0533252	+	0.998577i	$0.516982\pi$
$524$	−3.65411	+	2.65487i	−0.159631	+	0.115978i
$525$	−7.77740	+	4.39210i	−0.339434	+	0.191687i
$526$	0.112097	+	3.92389i	0.00488765	+	0.171090i
$527$	20.9122	−	6.14039i	0.910951	−	0.267479i
$528$	−36.0899	+	7.63105i	−1.57061	+	0.332099i
$529$	22.0121	+	6.46334i	0.957048	+	0.281015i
$530$	−3.16854	+	12.0544i	−0.137632	+	0.523608i
$531$	0.218289	−	1.07730i	0.00947295	−	0.0467509i
$532$	−4.46150	−	8.45548i	−0.193431	−	0.366592i
$533$	−0.00563310	+	0.197184i	−0.000243997	+	0.00854100i
$534$	−3.06807	−	11.6721i	−0.132768	−	0.505103i
$535$	7.83250	−	0.447879i	0.338629	−	0.0193635i
$536$	20.8475	−	21.4515i	0.900473	−	0.926565i
$537$	49.2040	−	24.1920i	2.12331	−	1.04396i
$538$	14.1576	−	31.0009i	0.610378	−	1.33654i
$539$	23.5464	+	7.43112i	1.01421	+	0.320081i
$540$	0.224843	+	0.492338i	0.00967571	+	0.0211868i
$541$	−25.8582	−	21.1441i	−1.11173	−	0.909057i	−0.115287	−	0.993332i	$-0.536779\pi$
$541$	−25.8582	−	21.1441i	−1.11173	−	0.909057i	−0.996443	+	0.0842754i	$0.973142\pi$
$542$	12.8119	−	24.2813i	0.550319	−	1.04297i
$543$	−35.1683	−	19.8605i	−1.50922	−	0.852294i
$544$	11.9400	−	1.36999i	0.511924	−	0.0587378i
$545$	16.3794	−	1.87936i	0.701617	−	0.0805030i
$546$	−3.10993	−	1.75626i	−0.133093	−	0.0751608i
$547$	9.31668	−	17.6571i	0.398353	−	0.754962i	−0.600655	−	0.799509i	$-0.705093\pi$
$547$	9.31668	−	17.6571i	0.398353	−	0.754962i	0.999007	+	0.0445463i	$0.0141842\pi$
$548$	−5.17265	−	4.22965i	−0.220965	−	0.180682i
$549$	7.75435	+	16.9797i	0.330948	+	0.724674i
$550$	5.22499	+	0.105052i	0.222794	+	0.00447945i
$551$	11.2867	−	24.7143i	0.480828	−	1.05287i
$552$	1.22050	−	0.600081i	0.0519481	−	0.0255411i
$553$	−38.6506	+	39.7705i	−1.64359	+	1.69121i
$554$	−3.10976	+	0.177823i	−0.132121	+	0.00755496i
$555$	−3.87461	−	14.7405i	−0.164468	−	0.625701i
$556$	−0.134557	+	4.71010i	−0.00570648	+	0.199753i
$557$	−10.3746	−	19.6621i	−0.439588	−	0.833112i	−0.999988	−	0.00488987i	$-0.998444\pi$
$557$	−10.3746	−	19.6621i	−0.439588	−	0.833112i	0.560400	−	0.828222i	$-0.310647\pi$
$558$	3.83151	−	18.9093i	0.162201	−	0.800493i
$559$	−0.160332	+	0.609965i	−0.00678131	+	0.0257988i
$560$	−17.2581	−	5.06744i	−0.729288	−	0.214138i
$561$	7.63998	−	34.1615i	0.322560	−	1.44230i
$562$	−12.0022	+	3.52417i	−0.506284	+	0.148658i
$563$	−0.709578	−	24.8385i	−0.0299051	−	1.04682i	−0.866556	−	0.499080i	$-0.833671\pi$
$563$	−0.709578	−	24.8385i	−0.0299051	−	1.04682i	0.836651	−	0.547737i	$-0.184510\pi$
$564$	−4.74339	+	2.67872i	−0.199733	+	0.112794i
$565$	5.57292	−	4.04896i	0.234454	−	0.170341i
$566$	36.3543	−	15.3635i	1.52809	−	0.645775i
$567$	−38.2111	−	6.61270i	−1.60472	−	0.277707i
$568$	2.79396	−	32.5295i	0.117232	−	1.36491i
$569$	3.69888	+	43.0653i	0.155065	+	1.80539i	0.499216	+	0.866478i	$0.333621\pi$
$569$	3.69888	+	43.0653i	0.155065	+	1.80539i	−0.344151	+	0.938914i	$0.611833\pi$
$570$	19.0085	−	3.28955i	0.796178	−	0.137784i
$571$	−37.9634	+	24.3976i	−1.58872	+	1.02101i	−0.616378	+	0.787451i	$0.711401\pi$
$571$	−37.9634	+	24.3976i	−1.58872	+	1.02101i	−0.972343	+	0.233558i	$0.924963\pi$
$572$	0.202831	+	0.352178i	0.00848081	+	0.0147253i
$573$	43.7003	+	28.0845i	1.82561	+	1.17325i
$574$	4.28805	+	1.81214i	0.178980	+	0.0756374i
$575$	−0.235792	+	0.0548311i	−0.00983321	+	0.00228661i
$576$	−4.80433	+	12.3398i	−0.200180	+	0.514159i
$577$	−8.75442	−	14.5176i	−0.364451	−	0.604374i	0.619034	−	0.785364i	$-0.287524\pi$
$577$	−8.75442	−	14.5176i	−0.364451	−	0.604374i	−0.983485	+	0.180990i	$0.942070\pi$
$578$	−1.54336	+	4.74998i	−0.0641953	+	0.197573i
$579$	18.2285	−	23.6391i	0.757549	−	0.982407i
$580$	0.913697	+	2.34681i	0.0379392	+	0.0974460i
$581$	6.24289	+	9.12994i	0.258999	+	0.378774i
$582$	4.51539	−	31.4052i	0.187169	−	1.30179i
$583$	4.69200	+	25.8114i	0.194323	+	1.06900i
$584$	1.53471	+	10.6742i	0.0635069	+	0.441700i
$585$	0.471714	−	0.432935i	0.0195030	−	0.0178997i
$586$	20.7069	+	1.18406i	0.855392	+	0.0489131i
$587$	8.42718	+	41.5897i	0.347827	+	1.71659i	0.647083	+	0.762420i	$0.275989\pi$
$587$	8.42718	+	41.5897i	0.347827	+	1.71659i	−0.299256	+	0.954173i	$0.596738\pi$
$588$	−6.54012	+	5.34783i	−0.269710	+	0.220541i
$589$	22.6874	+	11.1546i	0.934816	+	0.459618i
$590$	−0.646555	+	0.230690i	−0.0266182	+	0.00949737i
$591$	−16.9830	−	22.0239i	−0.698587	−	0.905943i
$592$	15.8494	−	26.2833i	0.651407	−	1.08024i
$593$	−12.3044	−	14.2000i	−0.505279	−	0.583123i	0.444604	−	0.895727i	$-0.353344\pi$
$593$	−12.3044	−	14.2000i	−0.505279	−	0.583123i	−0.949884	+	0.312604i	$0.898799\pi$
$594$	4.45937	+	3.79851i	0.182970	+	0.155855i
$595$	11.1777	−	12.8997i	0.458240	−	0.528837i
$596$	−1.30588	−	4.01909i	−0.0534910	−	0.164628i
$597$	10.5327	+	3.75805i	0.431073	+	0.153807i
$598$	−0.0674643	−	0.0694192i	−0.00275882	−	0.00283876i
$599$	−10.8210	−	9.93139i	−0.442133	−	0.405786i	0.423951	−	0.905685i	$-0.360643\pi$
$599$	−10.8210	−	9.93139i	−0.442133	−	0.405786i	−0.866083	+	0.499900i	$0.833370\pi$
$600$	3.17109	−	4.63758i	0.129459	−	0.189328i
$601$	−37.3239	−	8.67930i	−1.52247	−	0.354036i	−0.619938	−	0.784651i	$-0.712842\pi$
$601$	−37.3239	−	8.67930i	−1.52247	−	0.354036i	−0.902536	+	0.430615i	$0.858297\pi$
$602$	12.0410	+	8.74829i	0.490754	+	0.356554i
$603$	31.3649	+	3.59879i	1.27728	+	0.146554i
$604$	−10.0200			−0.407710
$605$	10.0585	−	4.45273i	0.408936	−	0.181029i
$606$	−45.9396			−1.86617
$607$	43.9495	+	5.04273i	1.78385	+	0.204678i	0.942134	−	0.335237i	$-0.108816\pi$
$607$	43.9495	+	5.04273i	1.78385	+	0.204678i	0.841719	+	0.539915i	$0.181544\pi$
$608$	11.2783	+	8.19415i	0.457395	+	0.332317i
$609$	−45.3735	−	10.5511i	−1.83863	−	0.427554i
$610$	6.58015	−	9.62316i	0.266422	−	0.389630i
$611$	−0.897492	−	0.823711i	−0.0363086	−	0.0333238i
$612$	3.81328	+	3.92377i	0.154143	+	0.158609i
$613$	−22.3482	−	7.97382i	−0.902635	−	0.322060i	−0.156362	−	0.987700i	$-0.549977\pi$
$613$	−22.3482	−	7.97382i	−0.902635	−	0.322060i	−0.746273	+	0.665640i	$0.768159\pi$
$614$	−5.31404	−	16.3549i	−0.214457	−	0.660031i
$615$	−1.19632	+	1.38063i	−0.0482405	+	0.0556725i
$616$	−29.7895	+	4.54053i	−1.20025	+	0.182943i
$617$	−10.5485	−	12.1736i	−0.424665	−	0.490090i	0.502587	−	0.864526i	$-0.332382\pi$
$617$	−10.5485	−	12.1736i	−0.424665	−	0.490090i	−0.927252	+	0.374437i	$0.877836\pi$
$618$	23.6666	−	39.2467i	0.952011	−	1.57873i
$619$	27.5149	+	35.6820i	1.10592	+	1.43418i	0.888952	+	0.458001i	$0.151434\pi$
$619$	27.5149	+	35.6820i	1.10592	+	1.43418i	0.216967	+	0.976179i	$0.430384\pi$
$620$	−2.20709	+	0.787488i	−0.0886388	+	0.0316263i
$621$	−0.243510	−	0.119726i	−0.00977171	−	0.00480443i
$622$	−33.7416	+	27.5903i	−1.35291	+	1.10627i
$623$	−2.45982	−	12.1397i	−0.0985508	−	0.486367i
$624$	2.81784	+	0.161130i	0.112804	+	0.00645036i
$625$	−0.736741	+	0.676175i	−0.0294696	+	0.0270470i
$626$	1.61859	+	11.2575i	0.0646919	+	0.449942i
$627$	33.3229	−	23.2016i	1.33079	−	0.926582i
$628$	−1.18045	+	8.21023i	−0.0471052	+	0.327624i
$629$	16.4399	+	24.0427i	0.655504	+	0.958644i
$630$	−5.48192	−	14.0802i	−0.218405	−	0.560968i
$631$	20.5875	−	26.6984i	0.819576	−	1.06285i	−0.177323	−	0.984153i	$-0.556744\pi$
$631$	20.5875	−	26.6984i	0.819576	−	1.06285i	0.996899	−	0.0786926i	$-0.0250746\pi$
$632$	10.7793	−	33.1753i	0.428777	−	1.31964i
$633$	16.1932	+	26.8535i	0.643624	+	1.06733i
$634$	−7.54533	+	19.3800i	−0.299664	+	0.769680i
$635$	−17.2995	+	4.02283i	−0.686510	+	0.159641i
$636$	−8.26824	−	3.49419i	−0.327857	−	0.138554i
$637$	−1.58932	−	1.02139i	−0.0629710	−	0.0404690i
$638$	19.7064	+	18.8300i	0.780182	+	0.745487i
$639$	28.9885	−	18.6298i	1.14677	−	0.736983i
$640$	13.4227	−	2.32288i	0.530577	−	0.0918200i
$641$	−3.06138	−	35.6429i	−0.120917	−	1.40781i	−0.765578	−	0.643343i	$-0.777547\pi$
$641$	−3.06138	−	35.6429i	−0.120917	−	1.40781i	0.644661	−	0.764469i	$-0.276999\pi$
$642$	−2.48612	+	28.9454i	−0.0981195	+	1.14238i
$643$	33.1349	+	5.73422i	1.30671	+	0.226136i	0.781003	−	0.624528i	$-0.214708\pi$
$643$	33.1349	+	5.73422i	1.30671	+	0.226136i	0.525711	+	0.850663i	$0.323799\pi$
$644$	−0.409230	+	0.172942i	−0.0161259	+	0.00681487i
$645$	−4.72521	+	3.43306i	−0.186055	+	0.135177i
$646$	−32.1001	+	18.1278i	−1.26296	+	0.713227i
$647$	−0.129033	−	4.51676i	−0.00507282	−	0.177572i	−0.998178	−	0.0603428i	$-0.980781\pi$
$647$	−0.129033	−	4.51676i	−0.00507282	−	0.177572i	0.993105	−	0.117229i	$-0.0374012\pi$
$648$	23.4037	−	6.87196i	0.919386	−	0.269956i
$649$	−1.02765	+	1.01575i	−0.0403387	+	0.0398717i
$650$	−0.383670	−	0.112656i	−0.0150488	−	0.00441871i
$651$	11.0194	−	41.9223i	0.431886	−	1.64306i
$652$	−0.782930	+	3.86391i	−0.0306619	+	0.151322i
$653$	−4.75895	−	9.01921i	−0.186232	−	0.352949i	0.773532	−	0.633757i	$-0.218488\pi$
$653$	−4.75895	−	9.01921i	−0.186232	−	0.352949i	−0.959764	+	0.280809i	$0.909397\pi$
$654$	−1.74342	+	61.0278i	−0.0681732	+	2.38637i
$655$	−2.37793	−	9.04660i	−0.0929136	−	0.353480i
$656$	−3.67282	+	0.210019i	−0.143400	+	0.00819988i
$657$	−7.93225	+	8.16209i	−0.309466	+	0.318433i
$658$	−25.7984	+	12.6842i	−1.00573	+	0.494483i
$659$	−19.1603	+	41.9552i	−0.746379	+	1.63434i	0.0263885	+	0.999652i	$0.491599\pi$
$659$	−19.1603	+	41.9552i	−0.746379	+	1.63434i	−0.772767	+	0.634690i	$0.781128\pi$
$660$	−0.610411	+	3.71389i	−0.0237602	+	0.144563i
$661$	−9.16966	−	20.0788i	−0.356658	−	0.780973i	−0.999883	−	0.0152954i	$-0.995131\pi$
$661$	−9.16966	−	20.0788i	−0.356658	−	0.780973i	0.643225	−	0.765678i	$-0.277596\pi$
$662$	−15.9644	−	13.0540i	−0.620475	−	0.507360i
$663$	−1.24993	+	2.36887i	−0.0485431	+	0.0919994i
$664$	−6.05763	−	3.42090i	−0.235082	−	0.132757i
$665$	19.6699	−	2.25691i	0.762766	−	0.0875193i
$666$	25.6149	−	2.93904i	0.992559	−	0.113885i
$667$	−1.09939	−	0.620853i	−0.0425685	−	0.0240395i
$668$	−2.46054	+	4.66325i	−0.0952013	+	0.180427i
$669$	−11.9499	−	9.77138i	−0.462010	−	0.377783i
$670$	−8.19066	−	17.9350i	−0.316433	−	0.692891i
$671$	3.97961	−	24.2129i	0.153631	−	0.934728i
$672$	9.92937	−	21.7423i	0.383034	−	0.838727i
$673$	14.1660	−	6.96494i	0.546059	−	0.268479i	−0.147275	−	0.989096i	$-0.547050\pi$
$673$	14.1660	−	6.96494i	0.546059	−	0.268479i	0.693334	+	0.720617i	$0.256141\pi$
$674$	−33.2828	+	34.2472i	−1.28200	+	1.31915i
$675$	−1.11907	+	0.0639908i	−0.0430730	+	0.00246301i
$676$	1.58791	+	6.04102i	0.0610733	+	0.232347i
$677$	−1.30213	+	45.5804i	−0.0500448	+	1.75180i	0.456626	+	0.889659i	$0.349058\pi$
$677$	−1.30213	+	45.5804i	−0.0500448	+	1.75180i	−0.506671	+	0.862139i	$0.669124\pi$
$678$	11.9042	+	22.5609i	0.457177	+	0.866446i
$679$	6.46682	−	31.9150i	0.248174	−	1.22479i
$680$	−2.72933	+	10.3834i	−0.104665	+	0.398186i
$681$	−24.5111	−	7.19710i	−0.939267	−	0.275794i
$682$	−18.0377	+	17.8289i	−0.690701	+	0.682704i
$683$	0.273762	−	0.0803838i	0.0104752	−	0.00307580i	−0.276491	−	0.961017i	$-0.589172\pi$
$683$	0.273762	−	0.0803838i	0.0104752	−	0.00307580i	0.286966	+	0.957941i	$0.407353\pi$
$684$	0.181235	+	6.34407i	0.00692971	+	0.242571i
$685$	12.0491	−	6.80441i	0.460371	−	0.259983i
$686$	−2.15436	+	1.56523i	−0.0822537	+	0.0597608i
$687$	−24.5001	+	10.3538i	−0.934739	+	0.395024i
$688$	−11.5895	−	2.00564i	−0.441845	−	0.0764642i
$689$	0.171775	−	1.99994i	0.00654411	−	0.0761917i
$690$	−0.0767146	−	0.893172i	−0.00292048	−	0.0340025i
$691$	39.8444	−	6.89534i	1.51575	−	0.262311i	0.648899	−	0.760875i	$-0.275230\pi$
$691$	39.8444	−	6.89534i	1.51575	−	0.262311i	0.866853	+	0.498563i	$0.166139\pi$
$692$	−4.58850	+	2.94885i	−0.174429	+	0.112098i
$693$	−22.9939	−	21.9714i	−0.873468	−	0.834624i
$694$	−2.78215	−	1.78798i	−0.105609	−	0.0678706i
$695$	−8.98864	−	3.79863i	−0.340959	−	0.144090i
$696$	28.5396	−	6.63660i	1.08179	−	0.251560i
$697$	1.26659	−	3.25321i	0.0479755	−	0.123224i
$698$	−19.6748	−	32.6271i	−0.744704	−	1.23495i
$699$	−7.08856	+	21.8163i	−0.268114	+	0.825170i
$700$	−1.12066	+	1.45330i	−0.0423571	+	0.0549297i
$701$	8.75690	+	22.4919i	0.330744	+	0.849508i	0.994802	+	0.101828i	$0.0324690\pi$
$701$	8.75690	+	22.4919i	0.330744	+	0.849508i	−0.664058	+	0.747681i	$0.731167\pi$
$702$	−0.252989	−	0.369985i	−0.00954846	−	0.0139642i
$703$	−4.80806	+	33.4408i	−0.181340	+	1.26124i
$704$	14.2855	−	9.94650i	0.538405	−	0.374873i
$705$	−1.60552	−	11.1667i	−0.0604675	−	0.420561i
$706$	2.00281	−	1.83816i	0.0753767	−	0.0691801i
$707$	−47.0723	−	2.69169i	−1.77034	−	0.101232i
$708$	−0.0981811	−	0.484543i	−0.00368987	−	0.0182102i
$709$	14.5487	−	11.8964i	0.546387	−	0.446778i	−0.319092	−	0.947724i	$-0.603378\pi$
$709$	14.5487	−	11.8964i	0.546387	−	0.446778i	0.865479	+	0.500945i	$0.167014\pi$
$710$	−19.3124	−	9.49526i	−0.724781	−	0.356351i
$711$	34.6747	−	12.3719i	1.30040	−	0.463983i
$712$	4.75754	+	6.16969i	0.178296	+	0.231219i
$713$	0.606678	−	1.00606i	0.0227203	−	0.0376774i
$714$	41.3921	+	47.7691i	1.54906	+	1.78771i
$715$	−0.832047	+	0.126821i	−0.0311168	+	0.00474284i
$716$	7.37744	−	8.51402i	0.275708	−	0.318184i
$717$	7.70804	+	23.7229i	0.287862	+	0.885948i
$718$	29.6447	+	10.5772i	1.10633	+	0.394738i
$719$	−24.6261	−	25.3396i	−0.918398	−	0.945009i	0.0802614	−	0.996774i	$-0.474424\pi$
$719$	−24.6261	−	25.3396i	−0.918398	−	0.945009i	−0.998659	+	0.0517647i	$0.983515\pi$
$720$	8.79706	+	8.07387i	0.327847	+	0.300895i
$721$	26.5497	−	38.8277i	0.988763	−	1.44602i
$722$	−12.4899	−	2.90440i	−0.464825	−	0.108090i
$723$	−20.8035	−	15.1146i	−0.773689	−	0.562118i
$724$	−8.24445	−	0.945962i	−0.306403	−	0.0351564i
$725$	−5.21548			−0.193698
$726$	11.0202	+	39.2152i	0.408998	+	1.45541i
$727$	13.1904			0.489206			0.244603	−	0.969623i	$-0.421342\pi$
$727$	13.1904			0.489206			0.244603	+	0.969623i	$0.421342\pi$
$728$	2.29061	+	0.262823i	0.0848957	+	0.00974088i
$729$	14.4336	+	10.4866i	0.534576	+	0.388392i
$730$	6.92339	+	1.60996i	0.256246	+	0.0595875i
$731$	6.30004	−	9.21351i	0.233015	−	0.340774i
$732$	6.18548	+	5.67698i	0.228622	+	0.209827i
$733$	−31.1187	−	32.0204i	−1.14940	−	1.18270i	−0.980386	−	0.197086i	$-0.936852\pi$
$733$	−31.1187	−	32.0204i	−1.14940	−	1.18270i	−0.169010	−	0.985614i	$-0.554057\pi$
$734$	23.1216	+	8.24977i	0.853434	+	0.304505i
$735$	−5.40650	−	16.6395i	−0.199422	−	0.613758i
$736$	0.424239	−	0.489597i	0.0156376	−	0.0180468i
$737$	−31.5929	−	26.9110i	−1.16374	−	0.991279i
$738$	−2.02377	−	2.33556i	−0.0744961	−	0.0859731i
$739$	14.4552	−	23.9713i	0.531744	−	0.881798i	−0.468254	−	0.883594i	$-0.655117\pi$
$739$	14.4552	−	23.9713i	0.531744	−	0.881798i	0.999998	+	0.00179535i	$0.000571477\pi$
$740$	−1.91229	−	2.47990i	−0.0702971	−	0.0911629i
$741$	−2.92614	+	1.04405i	−0.107495	+	0.0383540i
$742$	−42.5100	−	20.9008i	−1.56059	−	0.767291i
$743$	17.2827	−	14.1320i	0.634039	−	0.518451i	−0.260481	−	0.965479i	$-0.583881\pi$
$743$	17.2827	−	14.1320i	0.634039	−	0.518451i	0.894520	+	0.447028i	$0.147518\pi$
$744$	5.41448	+	26.7215i	0.198505	+	0.979659i
$745$	8.73739	+	0.499622i	0.320113	+	0.0183047i
$746$	−40.3742	+	37.0551i	−1.47820	+	1.35668i
$747$	−1.04493	−	7.26765i	−0.0382320	−	0.265909i
$748$	−1.28636	−	7.07647i	−0.0470340	−	0.258742i
$749$	−4.24339	+	29.5134i	−0.155050	+	1.07840i
$750$	−2.09019	−	3.05681i	−0.0763231	−	0.111619i
$751$	11.0107	+	28.2807i	0.401785	+	1.03198i	0.976861	+	0.213877i	$0.0686091\pi$
$751$	11.0107	+	28.2807i	0.401785	+	1.03198i	−0.575075	+	0.818100i	$0.695027\pi$
$752$	13.8729	−	17.9906i	0.505891	−	0.656051i
$753$	−8.27160	+	25.4574i	−0.301434	+	0.927718i
$754$	−1.07695	−	1.78592i	−0.0392201	−	0.0650392i
$755$	7.52862	−	19.3371i	0.273994	−	0.703749i
$756$	−2.00362	+	0.465922i	−0.0728709	+	0.0169454i
$757$	11.7413	+	4.96192i	0.426746	+	0.180344i	0.592055	−	0.805898i	$-0.298317\pi$
$757$	11.7413	+	4.96192i	0.426746	+	0.180344i	−0.165309	+	0.986242i	$0.552862\pi$
$758$	−23.1984	−	14.9087i	−0.842605	−	0.541509i
$759$	−0.941716	−	1.63511i	−0.0341821	−	0.0593508i
$760$	−10.4765	+	6.73282i	−0.380022	+	0.244225i
$761$	−6.43960	+	1.11442i	−0.233435	+	0.0403975i	−0.286039	−	0.958218i	$-0.592339\pi$
$761$	−6.43960	+	1.11442i	−0.233435	+	0.0403975i	0.0526041	+	0.998615i	$0.483248\pi$
$762$	−5.62837	−	65.5299i	−0.203894	−	2.37390i
$763$	−5.36215	+	62.4304i	−0.194123	+	2.26013i
$764$	10.5170	+	1.82004i	0.380491	+	0.0658466i
$765$	−10.4374	+	4.41088i	−0.377365	+	0.159476i
$766$	40.8690	−	29.6931i	1.47666	−	1.07285i
$767$	0.0962674	−	0.0543647i	0.00347601	−	0.00196299i
$768$	0.736045	+	25.7649i	0.0265597	+	0.929712i
$769$	6.59971	−	1.93785i	0.237992	−	0.0698807i	−0.160562	−	0.987026i	$-0.551331\pi$
$769$	6.59971	−	1.93785i	0.237992	−	0.0698807i	0.398553	+	0.917145i	$0.369512\pi$
$770$	−4.33496	+	19.3834i	−0.156221	+	0.698528i
$771$	42.4119	+	12.4533i	1.52743	+	0.448494i
$772$	1.55922	−	5.93190i	0.0561176	−	0.213494i

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:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.s (of order \(55\), degree \(40\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.56544 - 0.179618i) q^{2} +(1.90128 + 1.38136i) q^{3} +(0.470322 + 0.109369i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-2.72823 - 2.50395i) q^{6} +(-2.64879 - 2.72554i) q^{7} +(2.25154 + 0.803346i) q^{8} +(0.779664 + 2.39956i) q^{9} +O(q^{10})\)	\(q+(-1.56544 - 0.179618i) q^{2} +(1.90128 + 1.38136i) q^{3} +(0.470322 + 0.109369i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(-2.72823 - 2.50395i) q^{6} +(-2.64879 - 2.72554i) q^{7} +(2.25154 + 0.803346i) q^{8} +(0.779664 + 2.39956i) q^{9} +(1.03187 - 1.19084i) q^{10} +(0.907456 - 3.19007i) q^{11} +(0.743138 + 0.857627i) q^{12} +(-0.131046 + 0.217315i) q^{13} +(3.65697 + 4.74245i) q^{14} +(-2.21344 + 0.789755i) q^{15} +(-4.24701 - 2.08811i) q^{16} +(3.47672 - 2.84290i) q^{17} +(-0.789515 - 3.89641i) q^{18} +(5.20092 + 0.297399i) q^{19} +(-0.355751 + 0.326505i) q^{20} +(-1.27114 - 8.84097i) q^{21} +(-1.99356 + 4.83087i) q^{22} +(0.0344520 - 0.239619i) q^{23} +(3.17109 + 4.63758i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(0.244178 - 0.316656i) q^{26} +(0.346377 - 1.06604i) q^{27} +(-0.947696 - 1.57158i) q^{28} +(1.89222 - 4.86012i) q^{29} +(3.60687 - 0.838742i) q^{30} +(4.47021 + 1.88913i) q^{31} +(2.25125 + 1.44679i) q^{32} +(6.13197 - 4.81170i) q^{33} +(-5.95323 + 3.82591i) q^{34} +(3.74495 - 0.648089i) q^{35} +(0.104256 + 1.21384i) q^{36} +(-0.554981 + 6.46153i) q^{37} +(-8.08832 - 1.39974i) q^{38} +(-0.549346 + 0.232155i) q^{39} +(-1.93400 + 1.40514i) q^{40} +(0.676865 - 0.382243i) q^{41} +(0.401900 + 14.0683i) q^{42} +(2.38460 - 0.700182i) q^{43} +(0.775690 - 1.40111i) q^{44} +(-2.42084 - 0.710824i) q^{45} +(-0.0969725 + 0.368922i) q^{46} +(-0.953313 + 4.70479i) q^{47} +(-5.19032 - 9.83676i) q^{48} +(-0.212590 + 7.44162i) q^{49} +(0.400575 + 1.52395i) q^{50} +(10.5373 - 0.602545i) q^{51} +(-0.0854011 + 0.0878756i) q^{52} +(-7.09840 + 3.49005i) q^{53} +(-0.733712 + 1.60660i) q^{54} +(2.12110 + 2.54969i) q^{55} +(-3.77429 - 8.26455i) q^{56} +(9.47760 + 7.74980i) q^{57} +(-3.83512 + 7.26836i) q^{58} +(-0.379350 - 0.214229i) q^{59} +(-1.12741 + 0.129358i) q^{60} +(7.35018 - 0.843355i) q^{61} +(-6.65853 - 3.76024i) q^{62} +(4.47493 - 8.48093i) q^{63} +(4.06304 + 3.32233i) q^{64} +(-0.105419 - 0.230836i) q^{65} +(-10.4635 + 6.43102i) q^{66} +(5.19807 - 11.3822i) q^{67} +(1.94610 - 0.956833i) q^{68} +(0.396504 - 0.407993i) q^{69} +(-5.97891 + 0.341886i) q^{70} +(-3.47201 - 13.2089i) q^{71} +(-0.172236 + 6.02903i) q^{72} +(2.10516 + 3.98972i) q^{73} +(2.02940 - 10.0155i) q^{74} +(0.597443 - 2.27291i) q^{75} +(2.41358 + 0.708691i) q^{76} +(-11.0983 + 5.97651i) q^{77} +(0.901668 - 0.264754i) q^{78} +(-0.416684 - 14.5858i) q^{79} +(4.12087 - 2.32716i) q^{80} +(8.25471 - 5.99740i) q^{81} +(-1.12825 + 0.476803i) q^{82} +(-2.86750 - 0.496241i) q^{83} +(0.369080 - 4.29713i) q^{84} +(0.384323 + 4.47459i) q^{85} +(-3.85872 + 0.667778i) q^{86} +(10.3112 - 6.62663i) q^{87} +(4.60590 - 6.45355i) q^{88} +(2.74169 + 1.76198i) q^{89} +(3.66201 + 1.54758i) q^{90} +(0.939413 - 0.218451i) q^{91} +(0.0424104 - 0.108930i) q^{92} +(5.88956 + 9.76674i) q^{93} +(2.33742 - 7.19384i) q^{94} +(-3.18112 + 4.12535i) q^{95} +(2.28172 + 5.86055i) q^{96} +(4.83614 + 7.07263i) q^{97} +(1.66945 - 11.6112i) q^{98} +(8.36226 - 0.309686i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \)	\( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Introduction

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