LMFDB - Embedded newform 576.2.bm.a.13.21

Newspace parameters

Level:	$ N $	$=$	$ 576 = 2^{6} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	576.bm (of order $48$, degree $16$, minimal)

Newform invariants

Self dual:	no
Analytic conductor:	$4.59938315643$
Analytic rank:	$0$
Dimension:	$1504$
Relative dimension:	$94$ over $\Q(\zeta_{48})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label			13.21
Character	$\chi$	$=$	576.13
Dual form			576.2.bm.a.133.21

$q$-expansion

$f(q)$	$=$	$q+(-1.15248 + 0.819623i) q^{2} +(1.33427 + 1.10441i) q^{3} +(0.656437 - 1.88920i) q^{4} +(0.128618 - 0.378896i) q^{5} +(-2.44292 - 0.179221i) q^{6} +(-1.38692 + 1.80746i) q^{7} +(0.791901 + 2.71531i) q^{8} +(0.560543 + 2.94717i) q^{9} +O(q^{10})$	\(q+(-1.15248 + 0.819623i) q^{2} +(1.33427 + 1.10441i) q^{3} +(0.656437 - 1.88920i) q^{4} +(0.128618 - 0.378896i) q^{5} +(-2.44292 - 0.179221i) q^{6} +(-1.38692 + 1.80746i) q^{7} +(0.791901 + 2.71531i) q^{8} +(0.560543 + 2.94717i) q^{9} +(0.162322 + 0.542089i) q^{10} +(-5.67195 - 0.371759i) q^{11} +(2.96232 - 1.79573i) q^{12} +(-1.49458 + 1.70424i) q^{13} +(0.116959 - 3.21982i) q^{14} +(0.590068 - 0.363501i) q^{15} +(-3.13818 - 2.48029i) q^{16} +(0.935965 + 0.935965i) q^{17} +(-3.06158 - 2.93713i) q^{18} +(0.719896 - 3.61916i) q^{19} +(-0.631382 - 0.491706i) q^{20} +(-3.84671 + 0.879914i) q^{21} +(6.84153 - 4.22041i) q^{22} +(-4.47337 + 3.43254i) q^{23} +(-1.94221 + 4.49753i) q^{24} +(3.83975 + 2.94634i) q^{25} +(0.325644 - 3.18911i) q^{26} +(-2.50697 + 4.55138i) q^{27} +(2.50424 + 3.80665i) q^{28} +(-3.89440 + 7.89705i) q^{29} +(-0.382110 + 0.902563i) q^{30} +(3.85389 + 2.22504i) q^{31} +(5.64960 + 0.286365i) q^{32} +(-7.15733 - 6.76020i) q^{33} +(-1.84582 - 0.311546i) q^{34} +(0.506459 + 0.757969i) q^{35} +(5.93576 + 0.875649i) q^{36} +(0.930003 + 4.67544i) q^{37} +(2.13668 + 4.76107i) q^{38} +(-3.87636 + 0.623283i) q^{39} +(1.13067 + 0.0491887i) q^{40} +(-5.12418 + 3.93192i) q^{41} +(3.71207 - 4.16693i) q^{42} +(0.767985 - 11.7172i) q^{43} +(-4.42561 + 10.4714i) q^{44} +(1.18876 + 0.166671i) q^{45} +(2.34210 - 7.62243i) q^{46} +(1.78780 - 6.67216i) q^{47} +(-1.44791 - 6.77522i) q^{48} +(0.468343 + 1.74788i) q^{49} +(-6.84013 - 0.248466i) q^{50} +(0.215136 + 2.28252i) q^{51} +(2.23857 + 3.94230i) q^{52} +(0.873034 - 1.30659i) q^{53} +(-0.841169 - 7.30017i) q^{54} +(-0.870372 + 2.10126i) q^{55} +(-6.00612 - 2.33457i) q^{56} +(4.95758 - 4.03387i) q^{57} +(-1.98438 - 12.2932i) q^{58} +(1.25626 - 3.70082i) q^{59} +(-0.299386 - 1.35337i) q^{60} +(3.00382 + 1.48132i) q^{61} +(-6.26524 + 0.594409i) q^{62} +(-6.10432 - 3.07431i) q^{63} +(-6.74578 + 4.30051i) q^{64} +(0.453501 + 0.785487i) q^{65} +(13.7895 + 1.92472i) q^{66} +(0.404206 + 6.16698i) q^{67} +(2.38263 - 1.15383i) q^{68} +(-9.75962 - 0.360523i) q^{69} +(-1.20493 - 0.458442i) q^{70} +(1.44186 + 3.48097i) q^{71} +(-7.55857 + 3.85591i) q^{72} +(5.52850 - 13.3470i) q^{73} +(-4.90391 - 4.62612i) q^{74} +(1.86927 + 8.17188i) q^{75} +(-6.36477 - 3.73578i) q^{76} +(8.53846 - 9.73625i) q^{77} +(3.95659 - 3.89548i) q^{78} +(-11.6139 - 3.11193i) q^{79} +(-1.34340 + 0.870035i) q^{80} +(-8.37158 + 3.30403i) q^{81} +(2.68284 - 8.73137i) q^{82} +(7.52961 - 2.55596i) q^{83} +(-0.862784 + 7.84482i) q^{84} +(0.475015 - 0.234251i) q^{85} +(8.71858 + 14.1333i) q^{86} +(-13.9178 + 6.23577i) q^{87} +(-3.48219 - 15.6955i) q^{88} +(-2.28737 + 0.947461i) q^{89} +(-1.50664 + 0.782254i) q^{90} +(-1.00750 - 5.06505i) q^{91} +(3.54828 + 10.7044i) q^{92} +(2.68475 + 7.22509i) q^{93} +(3.40824 + 9.15487i) q^{94} +(-1.27869 - 0.738254i) q^{95} +(7.22182 + 6.62158i) q^{96} +(8.69119 - 5.01786i) q^{97} +(-1.97236 - 1.63054i) q^{98} +(-2.08374 - 16.9246i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9}+O(q^{10}) $ 1504 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^5 - 16 * q^6 - 8 * q^7 - 32 * q^8 - 16 * q^9	\( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} - 32 q^{10} - 8 q^{11} - 16 q^{12} - 8 q^{13} - 8 q^{14} - 16 q^{15} - 8 q^{16} - 32 q^{17} - 16 q^{18} - 32 q^{19} - 8 q^{20} - 16 q^{21} - 8 q^{22} - 8 q^{23} + 64 q^{24} - 8 q^{25} - 32 q^{26} - 16 q^{27} - 32 q^{28} - 8 q^{29} - 96 q^{30} - 8 q^{32} - 8 q^{34} - 32 q^{35} - 96 q^{36} - 32 q^{37} - 8 q^{38} - 16 q^{39} - 8 q^{40} - 8 q^{41} + 64 q^{42} - 8 q^{43} - 32 q^{44} - 16 q^{45} - 32 q^{46} - 8 q^{47} - 16 q^{48} - 8 q^{49} - 8 q^{50} - 16 q^{51} - 8 q^{52} - 32 q^{53} - 16 q^{54} - 32 q^{55} - 8 q^{56} - 16 q^{57} - 80 q^{58} - 8 q^{59} - 16 q^{60} - 8 q^{61} - 64 q^{62} - 32 q^{63} - 32 q^{64} - 16 q^{65} - 32 q^{66} - 8 q^{67} - 8 q^{68} - 16 q^{69} - 8 q^{70} - 32 q^{71} - 16 q^{72} - 32 q^{73} - 8 q^{74} - 16 q^{75} + 40 q^{76} - 8 q^{77} - 40 q^{78} - 8 q^{79} - 160 q^{80} - 16 q^{81} - 32 q^{82} - 8 q^{83} - 128 q^{84} - 8 q^{85} - 216 q^{86} - 16 q^{87} - 8 q^{88} - 32 q^{89} - 160 q^{90} - 32 q^{91} + 144 q^{92} - 40 q^{93} - 8 q^{94} - 152 q^{96} - 304 q^{98} - 16 q^{99}+O(q^{100}) \) 1504 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^5 - 16 * q^6 - 8 * q^7 - 32 * q^8 - 16 * q^9 - 32 * q^10 - 8 * q^11 - 16 * q^12 - 8 * q^13 - 8 * q^14 - 16 * q^15 - 8 * q^16 - 32 * q^17 - 16 * q^18 - 32 * q^19 - 8 * q^20 - 16 * q^21 - 8 * q^22 - 8 * q^23 + 64 * q^24 - 8 * q^25 - 32 * q^26 - 16 * q^27 - 32 * q^28 - 8 * q^29 - 96 * q^30 - 8 * q^32 - 8 * q^34 - 32 * q^35 - 96 * q^36 - 32 * q^37 - 8 * q^38 - 16 * q^39 - 8 * q^40 - 8 * q^41 + 64 * q^42 - 8 * q^43 - 32 * q^44 - 16 * q^45 - 32 * q^46 - 8 * q^47 - 16 * q^48 - 8 * q^49 - 8 * q^50 - 16 * q^51 - 8 * q^52 - 32 * q^53 - 16 * q^54 - 32 * q^55 - 8 * q^56 - 16 * q^57 - 80 * q^58 - 8 * q^59 - 16 * q^60 - 8 * q^61 - 64 * q^62 - 32 * q^63 - 32 * q^64 - 16 * q^65 - 32 * q^66 - 8 * q^67 - 8 * q^68 - 16 * q^69 - 8 * q^70 - 32 * q^71 - 16 * q^72 - 32 * q^73 - 8 * q^74 - 16 * q^75 + 40 * q^76 - 8 * q^77 - 40 * q^78 - 8 * q^79 - 160 * q^80 - 16 * q^81 - 32 * q^82 - 8 * q^83 - 128 * q^84 - 8 * q^85 - 216 * q^86 - 16 * q^87 - 8 * q^88 - 32 * q^89 - 160 * q^90 - 32 * q^91 + 144 * q^92 - 40 * q^93 - 8 * q^94 - 152 * q^96 - 304 * q^98 - 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/576\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$325$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$1$	$e\left(\frac{15}{16}\right)$

Coefficient data

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

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

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

$2$	−1.15248	+	0.819623i	−0.814929	+	0.579561i
$2$	−1.15248	+	0.819623i	−0.814929	+	0.579561i
$3$	1.33427	+	1.10441i	0.770340	+	0.637633i
$3$	1.33427	+	1.10441i	0.770340	+	0.637633i
$4$	0.656437	−	1.88920i	0.328219	−	0.944602i
$5$	0.128618	−	0.378896i	0.0575196	−	0.169447i	−0.914373	−	0.404874i	$-0.867315\pi$
$5$	0.128618	−	0.378896i	0.0575196	−	0.169447i	0.971892	+	0.235427i	$0.0756487\pi$
$6$	−2.44292	−	0.179221i	−0.997320	−	0.0731669i
$7$	−1.38692	+	1.80746i	−0.524205	+	0.683157i	−0.978157	−	0.207869i	$-0.933347\pi$
$7$	−1.38692	+	1.80746i	−0.524205	+	0.683157i	0.453952	+	0.891026i	$0.350014\pi$
$8$	0.791901	+	2.71531i	0.279979	+	0.960006i
$9$	0.560543	+	2.94717i	0.186848	+	0.982389i
$10$	0.162322	+	0.542089i	0.0513306	+	0.171424i
$11$	−5.67195	−	0.371759i	−1.71016	−	0.112090i	−0.821366	−	0.570401i	$-0.806788\pi$
$11$	−5.67195	−	0.371759i	−1.71016	−	0.112090i	−0.888792	+	0.458312i	$0.848454\pi$
$12$	2.96232	−	1.79573i	0.855149	−	0.518382i
$13$	−1.49458	+	1.70424i	−0.414522	+	0.472672i	−0.920990	−	0.389587i	$-0.872618\pi$
$13$	−1.49458	+	1.70424i	−0.414522	+	0.472672i	0.506467	+	0.862259i	$0.330951\pi$
$14$	0.116959	−	3.21982i	0.0312587	−	0.860533i
$15$	0.590068	−	0.363501i	0.152355	−	0.0938557i
$16$	−3.13818	−	2.48029i	−0.784545	−	0.620072i
$17$	0.935965	+	0.935965i	0.227005	+	0.227005i	0.811440	−	0.584435i	$-0.198684\pi$
$17$	0.935965	+	0.935965i	0.227005	+	0.227005i	−0.584435	+	0.811440i	$0.698684\pi$
$18$	−3.06158	−	2.93713i	−0.721622	−	0.692288i
$19$	0.719896	−	3.61916i	0.165155	−	0.830292i	−0.806013	−	0.591898i	$-0.798379\pi$
$19$	0.719896	−	3.61916i	0.165155	−	0.830292i	0.971168	−	0.238395i	$-0.0766211\pi$
$20$	−0.631382	−	0.491706i	−0.141181	−	0.109949i
$21$	−3.84671	+	0.879914i	−0.839420	+	0.192013i
$22$	6.84153	−	4.22041i	1.45862	−	0.899795i
$23$	−4.47337	+	3.43254i	−0.932763	+	0.715734i	−0.958846	−	0.283926i	$-0.908363\pi$
$23$	−4.47337	+	3.43254i	−0.932763	+	0.715734i	0.0260834	+	0.999660i	$0.491696\pi$
$24$	−1.94221	+	4.49753i	−0.396452	+	0.918055i
$25$	3.83975	+	2.94634i	0.767949	+	0.589268i
$26$	0.325644	−	3.18911i	0.0638640	−	0.625435i
$27$	−2.50697	+	4.55138i	−0.482467	+	0.875914i
$28$	2.50424	+	3.80665i	0.473258	+	0.719390i
$29$	−3.89440	+	7.89705i	−0.723171	+	1.46645i	0.154907	+	0.987929i	$0.450492\pi$
$29$	−3.89440	+	7.89705i	−0.723171	+	1.46645i	−0.878078	+	0.478517i	$0.841175\pi$
$30$	−0.382110	+	0.902563i	−0.0697634	+	0.164785i
$31$	3.85389	+	2.22504i	0.692179	+	0.399630i	0.804428	−	0.594050i	$-0.202472\pi$
$31$	3.85389	+	2.22504i	0.692179	+	0.399630i	−0.112249	+	0.993680i	$0.535805\pi$
$32$	5.64960	+	0.286365i	0.998718	+	0.0506227i
$33$	−7.15733	−	6.76020i	−1.24593	−	1.17680i
$34$	−1.84582	−	0.311546i	−0.316556	−	0.0534297i
$35$	0.506459	+	0.757969i	0.0856071	+	0.128120i
$36$	5.93576	+	0.875649i	0.989293	+	0.145942i
$37$	0.930003	+	4.67544i	0.152892	+	0.768638i	0.978798	+	0.204830i	$0.0656641\pi$
$37$	0.930003	+	4.67544i	0.152892	+	0.768638i	−0.825906	+	0.563808i	$0.809336\pi$
$38$	2.13668	+	4.76107i	0.346615	+	0.772347i
$39$	−3.87636	+	0.623283i	−0.620715	+	0.0998051i
$40$	1.13067	+	0.0491887i	0.178775	+	0.00777742i
$41$	−5.12418	+	3.93192i	−0.800262	+	0.614063i	−0.925795	−	0.378027i	$-0.876603\pi$
$41$	−5.12418	+	3.93192i	−0.800262	+	0.614063i	0.125533	+	0.992089i	$0.459936\pi$
$42$	3.71207	−	4.16693i	0.572784	−	0.642972i
$43$	0.767985	−	11.7172i	0.117117	−	1.78685i	−0.385864	−	0.922556i	$-0.626097\pi$
$43$	0.767985	−	11.7172i	0.117117	−	1.78685i	0.502981	−	0.864298i	$-0.332237\pi$
$44$	−4.42561	+	10.4714i	−0.667186	+	1.57863i
$45$	1.18876	+	0.166671i	0.177211	+	0.0248458i
$46$	2.34210	−	7.62243i	0.345324	−	1.12387i
$47$	1.78780	−	6.67216i	0.260777	−	0.973234i	−0.704007	−	0.710193i	$-0.748608\pi$
$47$	1.78780	−	6.67216i	0.260777	−	0.973234i	0.964785	−	0.263041i	$-0.0847256\pi$
$48$	−1.44791	−	6.77522i	−0.208988	−	0.977918i
$49$	0.468343	+	1.74788i	0.0669061	+	0.249697i
$50$	−6.84013	−	0.248466i	−0.967341	−	0.0351384i
$51$	0.215136	+	2.28252i	0.0301251	+	0.319617i
$52$	2.23857	+	3.94230i	0.310433	+	0.546698i
$53$	0.873034	−	1.30659i	0.119920	−	0.179474i	−0.766653	−	0.642062i	$-0.778079\pi$
$53$	0.873034	−	1.30659i	0.119920	−	0.179474i	0.886573	+	0.462588i	$0.153079\pi$
$54$	−0.841169	−	7.30017i	−0.114469	−	0.993427i
$55$	−0.870372	+	2.10126i	−0.117361	+	0.283334i
$56$	−6.00612	−	2.33457i	−0.802602	−	0.311970i
$57$	4.95758	−	4.03387i	0.656648	−	0.534299i
$58$	−1.98438	−	12.2932i	−0.260561	−	1.61417i
$59$	1.25626	−	3.70082i	0.163551	−	0.481806i	−0.833999	−	0.551766i	$-0.813954\pi$
$59$	1.25626	−	3.70082i	0.163551	−	0.481806i	0.997550	+	0.0699604i	$0.0222873\pi$
$60$	−0.299386	−	1.35337i	−0.0386505	−	0.174720i
$61$	3.00382	+	1.48132i	0.384600	+	0.189664i	0.624302	−	0.781183i	$-0.285383\pi$
$61$	3.00382	+	1.48132i	0.384600	+	0.189664i	−0.239703	+	0.970846i	$0.577050\pi$
$62$	−6.26524	+	0.594409i	−0.795687	+	0.0754900i
$63$	−6.10432	−	3.07431i	−0.769073	−	0.387327i
$64$	−6.74578	+	4.30051i	−0.843223	+	0.537564i
$65$	0.453501	+	0.785487i	0.0562499	+	0.0974277i
$66$	13.7895	+	1.92472i	1.69737	+	0.236916i
$67$	0.404206	+	6.16698i	0.0493816	+	0.753417i	0.948711	+	0.316145i	$0.102389\pi$
$67$	0.404206	+	6.16698i	0.0493816	+	0.753417i	−0.899329	+	0.437272i	$0.855945\pi$
$68$	2.38263	−	1.15383i	0.288936	−	0.139922i
$69$	−9.75962	−	0.360523i	−1.17492	−	0.0434019i
$70$	−1.20493	−	0.458442i	−0.144017	−	0.0547943i
$71$	1.44186	+	3.48097i	0.171118	+	0.413115i	0.986052	−	0.166439i	$-0.0532269\pi$
$71$	1.44186	+	3.48097i	0.171118	+	0.413115i	−0.814934	+	0.579554i	$0.803227\pi$
$72$	−7.55857	+	3.85591i	−0.890786	+	0.454424i
$73$	5.52850	−	13.3470i	0.647063	−	1.56215i	−0.169903	−	0.985461i	$-0.554345\pi$
$73$	5.52850	−	13.3470i	0.647063	−	1.56215i	0.816966	−	0.576686i	$-0.195655\pi$
$74$	−4.90391	−	4.62612i	−0.570068	−	0.537775i
$75$	1.86927	+	8.17188i	0.215845	+	0.943607i
$76$	−6.36477	−	3.73578i	−0.730089	−	0.428523i
$77$	8.53846	−	9.73625i	0.973048	−	1.10955i
$78$	3.95659	−	3.89548i	0.447995	−	0.441076i
$79$	−11.6139	−	3.11193i	−1.30666	−	0.350119i	−0.462697	−	0.886517i	$-0.653118\pi$
$79$	−11.6139	−	3.11193i	−1.30666	−	0.350119i	−0.843966	+	0.536397i	$0.819785\pi$
$80$	−1.34340	+	0.870035i	−0.150196	+	0.0972728i
$81$	−8.37158	+	3.30403i	−0.930176	+	0.367114i
$82$	2.68284	−	8.73137i	0.296270	−	0.964218i
$83$	7.52961	−	2.55596i	0.826482	−	0.280553i	0.124025	−	0.992279i	$-0.460420\pi$
$83$	7.52961	−	2.55596i	0.826482	−	0.280553i	0.702457	+	0.711726i	$0.252086\pi$
$84$	−0.862784	+	7.84482i	−0.0941374	+	0.855940i
$85$	0.475015	−	0.234251i	0.0515226	−	0.0254081i
$86$	8.71858	+	14.1333i	0.940148	+	1.52403i
$87$	−13.9178	+	6.23577i	−1.49214	+	0.668544i
$88$	−3.48219	−	15.6955i	−0.371202	−	1.67314i
$89$	−2.28737	+	0.947461i	−0.242461	+	0.100431i	−0.500605	−	0.865676i	$-0.666889\pi$
$89$	−2.28737	+	0.947461i	−0.242461	+	0.100431i	0.258144	+	0.966106i	$0.416889\pi$
$90$	−1.50664	+	0.782254i	−0.158814	+	0.0824568i
$91$	−1.00750	−	5.06505i	−0.105615	−	0.530961i
$92$	3.54828	+	10.7044i	0.369934	+	1.11601i
$93$	2.68475	+	7.22509i	0.278396	+	0.749207i
$94$	3.40824	+	9.15487i	0.351533	+	0.944253i
$95$	−1.27869	−	0.738254i	−0.131191	−	0.0757433i
$96$	7.22182	+	6.62158i	0.737074	+	0.675812i
$97$	8.69119	−	5.01786i	0.882457	−	0.509487i	0.0109892	−	0.999940i	$-0.496502\pi$
$97$	8.69119	−	5.01786i	0.882457	−	0.509487i	0.871468	+	0.490453i	$0.163169\pi$
$98$	−1.97236	−	1.63054i	−0.199238	−	0.164709i
$99$	−2.08374	−	16.9246i	−0.209424	−	1.70098i
$100$	8.08679	−	5.31998i	0.808679	−	0.531998i
$101$	−5.11688	+	4.48738i	−0.509148	+	0.446511i	−0.874972	−	0.484173i	$-0.839121\pi$
$101$	−5.11688	+	4.48738i	−0.509148	+	0.446511i	0.365824	+	0.930684i	$0.380787\pi$
$102$	−2.11875	−	2.45424i	−0.209787	−	0.243006i
$103$	−2.47354	+	18.7884i	−0.243725	+	1.85127i	0.233325	+	0.972399i	$0.425039\pi$
$103$	−2.47354	+	18.7884i	−0.243725	+	1.85127i	−0.477050	+	0.878876i	$0.658294\pi$
$104$	−5.81111	−	2.70866i	−0.569826	−	0.265606i
$105$	−0.161359	+	1.57067i	−0.0157470	+	0.153282i
$106$	0.0647516	+	2.22138i	0.00628923	+	0.215759i
$107$	6.91572	+	4.62094i	0.668568	+	0.446723i	0.842977	−	0.537950i	$-0.180801\pi$
$107$	6.91572	+	4.62094i	0.668568	+	0.446723i	−0.174408	+	0.984673i	$0.555801\pi$
$108$	6.95282	+	7.72388i	0.669035	+	0.743231i
$109$	−0.171640	+	0.862893i	−0.0164401	+	0.0826502i	−0.988134	−	0.153592i	$-0.950916\pi$
$109$	−0.171640	+	0.862893i	−0.0164401	+	0.0826502i	0.971694	+	0.236242i	$0.0759159\pi$
$110$	−0.719154	−	3.13505i	−0.0685687	−	0.298915i
$111$	−3.92274	+	7.26540i	−0.372330	+	0.689601i
$112$	8.83542	−	2.23220i	0.834869	−	0.210923i
$113$	3.87299	+	14.4542i	0.364340	+	1.35974i	0.868313	+	0.496017i	$0.165205\pi$
$113$	3.87299	+	14.4542i	0.364340	+	1.35974i	−0.503973	+	0.863720i	$0.668129\pi$
$114$	−2.40728	+	8.71232i	−0.225463	+	0.815983i
$115$	0.725220	+	2.13643i	0.0676271	+	0.199223i
$116$	12.3627	+	12.5412i	1.14785	+	1.16442i
$117$	−5.86047	−	3.44948i	−0.541801	−	0.318904i
$118$	1.58546	+	5.29480i	0.145953	+	0.487426i
$119$	−2.98983	+	0.393618i	−0.274077	+	0.0360829i
$120$	1.45429	+	1.31436i	0.132758	+	0.119984i
$121$	21.1269	+	2.78141i	1.92063	+	0.252856i
$122$	−4.67598	+	0.754802i	−0.423343	+	0.0683365i
$123$	−11.1795	−	0.412973i	−1.00802	−	0.0372366i
$124$	6.73340	−	5.82018i	0.604677	−	0.522668i
$125$	3.27370	−	2.18742i	0.292809	−	0.195648i
$126$	9.55491	−	1.46015i	0.851219	−	0.130081i
$127$	−6.69310			−0.593917			−0.296958	−	0.954890i	$-0.595972\pi$
$127$	−6.69310			−0.593917			−0.296958	+	0.954890i	$0.595972\pi$
$128$	4.24961	−	10.4853i	0.375616	−	0.926775i
$129$	13.9653	−	14.7857i	1.22958	−	1.30181i
$130$	−1.16646	−	0.533561i	−0.102305	−	0.0467964i
$131$	−0.971016	−	14.8148i	−0.0848380	−	1.29438i	−0.801938	−	0.597408i	$-0.796197\pi$
$131$	−0.971016	−	14.8148i	−0.0848380	−	1.29438i	0.717100	−	0.696971i	$-0.245469\pi$
$132$	−17.4697	+	9.08400i	−1.52055	+	0.790661i
$133$	5.54307	+	6.32066i	0.480645	+	0.548071i
$134$	−5.52044	−	6.77605i	−0.476893	−	0.585362i
$135$	1.40206	+	1.53527i	0.120670	+	0.132135i
$136$	−1.80024	+	3.28262i	−0.154369	+	0.281483i
$137$	13.6689	−	1.79955i	1.16781	−	0.153746i	0.478419	−	0.878131i	$-0.341210\pi$
$137$	13.6689	−	1.79955i	1.16781	−	0.153746i	0.689395	+	0.724386i	$0.257877\pi$
$138$	11.5433	−	7.58371i	0.982631	−	0.645568i
$139$	1.68848	+	3.42391i	0.143215	+	0.290412i	0.956648	−	0.291247i	$-0.0940703\pi$
$139$	1.68848	+	3.42391i	0.143215	+	0.290412i	−0.813432	+	0.581659i	$0.802404\pi$
$140$	1.76442	−	0.459245i	0.149120	−	0.0388132i
$141$	9.75422	−	6.92798i	0.821454	−	0.583441i
$142$	−4.51480	−	2.82997i	−0.378874	−	0.237486i
$143$	9.11077	−	9.11077i	0.761880	−	0.761880i
$144$	5.55073	−	10.6390i	0.462561	−	0.886587i
$145$	2.49127	+	2.49127i	0.206889	+	0.206889i
$146$	4.56799	+	19.9135i	0.378049	+	1.64805i
$147$	−1.30549	+	2.84938i	−0.107675	+	0.235013i
$148$	9.44335	+	1.31217i	0.776238	+	0.107859i
$149$	13.2126	−	6.51572i	1.08242	−	0.533788i	0.188523	−	0.982069i	$-0.439630\pi$
$149$	13.2126	−	6.51572i	1.08242	−	0.533788i	0.893893	+	0.448280i	$0.147963\pi$
$150$	−8.85216	−	7.88586i	−0.722776	−	0.643877i
$151$	1.18782	+	9.02240i	0.0966636	+	0.734233i	0.969303	+	0.245868i	$0.0790730\pi$
$151$	1.18782	+	9.02240i	0.0966636	+	0.734233i	−0.872640	+	0.488364i	$0.837594\pi$
$152$	10.3972	−	0.911280i	0.843326	−	0.0739146i
$153$	−2.23379	+	3.28309i	−0.180592	+	0.265422i
$154$	−1.86039	+	18.2192i	−0.149914	+	1.46814i
$155$	1.33874	−	1.17404i	0.107530	−	0.0943014i
$156$	−1.36708	+	7.73238i	−0.109454	+	0.619086i
$157$	4.13625	−	0.271104i	0.330109	−	0.0216365i	0.100552	−	0.994932i	$-0.467939\pi$
$157$	4.13625	−	0.271104i	0.330109	−	0.0216365i	0.229557	+	0.973295i	$0.426272\pi$
$158$	15.9354	−	5.93255i	1.26775	−	0.471968i
$159$	2.60787	−	0.779148i	0.206818	−	0.0617905i
$160$	0.835142	−	2.10378i	0.0660238	−	0.166318i
$161$		−	12.8461i		−	1.01242i
$162$	6.94005	−	10.6694i	0.545262	−	0.838266i
$163$	0.773412	+	1.15749i	0.0605783	+	0.0906618i	0.860522	−	0.509413i	$-0.170137\pi$
$163$	0.773412	+	1.15749i	0.0605783	+	0.0906618i	−0.799944	+	0.600075i	$0.795137\pi$
$164$	4.06450	+	12.2617i	0.317384	+	0.957476i
$165$	−3.48197	+	1.84240i	−0.271071	+	0.143431i
$166$	−6.58283	+	9.11714i	−0.510927	+	0.707627i
$167$	2.85803	−	21.7089i	0.221161	−	1.67989i	−0.416163	−	0.909290i	$-0.636626\pi$
$167$	2.85803	−	21.7089i	0.221161	−	1.67989i	0.637324	−	0.770596i	$-0.280041\pi$
$168$	−5.43545	−	9.74818i	−0.419354	−	0.752089i
$169$	1.02617	+	7.79452i	0.0789360	+	0.599578i
$170$	−0.355449	+	0.659304i	−0.0272617	+	0.0505663i
$171$	11.0698	+	0.0929568i	0.846529	+	0.00710858i
$172$	−21.6320	−	9.14247i	−1.64942	−	0.697107i
$173$	0.227924	−	0.0773697i	0.0173287	−	0.00588231i	−0.312762	−	0.949832i	$-0.601254\pi$
$173$	0.227924	−	0.0773697i	0.0173287	−	0.00588231i	0.330090	+	0.943949i	$0.392921\pi$
$174$	10.9290	−	18.5939i	0.828528	−	1.40960i
$175$	−10.6508	+	2.85388i	−0.805126	+	0.215733i
$176$	16.8775	+	15.2347i	1.27219	+	1.14836i
$177$	5.76342	−	3.55046i	0.433206	−	0.266869i
$178$	1.85960	−	2.96671i	0.139383	−	0.222365i
$179$	−15.7441	−	3.13171i	−1.17677	−	0.234075i	−0.432301	−	0.901729i	$-0.642298\pi$
$179$	−15.7441	−	3.13171i	−1.17677	−	0.234075i	−0.744471	+	0.667654i	$0.767298\pi$
$180$	1.09522	−	2.13641i	0.0816332	−	0.159239i
$181$	10.8788	−	16.2813i	0.808615	−	1.21018i	−0.165963	−	0.986132i	$-0.553073\pi$
$181$	10.8788	−	16.2813i	0.808615	−	1.21018i	0.974579	−	0.224046i	$-0.0719267\pi$
$182$	5.31256	+	5.01161i	0.393793	+	0.371486i
$183$	2.37191	+	5.29394i	0.175337	+	0.391339i
$184$	−12.8629	−	9.42835i	−0.948264	−	0.695067i
$185$	1.89112	+	0.248971i	0.139038	+	0.0183047i
$186$	−9.01599	−	6.12632i	−0.661084	−	0.449203i
$187$	−4.96079	−	5.65670i	−0.362769	−	0.413659i
$188$	−11.4315	−	7.75737i	−0.833727	−	0.565764i
$189$	−4.74950	−	10.8437i	−0.345475	−	0.788760i
$190$	2.07876	−	0.197221i	0.150809	−	0.0143079i
$191$	13.4095	+	23.2260i	0.970280	+	1.68057i	0.694704	+	0.719296i	$0.255535\pi$
$191$	13.4095	+	23.2260i	0.970280	+	1.68057i	0.275576	+	0.961279i	$0.411131\pi$
$192$	−13.7502	−	1.71210i	−0.992337	−	0.123560i
$193$	−6.58835	+	11.4113i	−0.474240	+	0.821407i	−0.999565	−	0.0294945i	$-0.990610\pi$
$193$	−6.58835	+	11.4113i	−0.474240	+	0.821407i	0.525325	+	0.850901i	$0.323944\pi$
$194$	−5.90370	+	12.9065i	−0.423861	+	0.926633i
$195$	−0.262410	+	1.54890i	−0.0187916	+	0.110919i
$196$	3.60954	+	0.262578i	0.257824	+	0.0187555i
$197$	−8.05630	+	1.60250i	−0.573988	+	0.114173i	−0.473545	−	0.880770i	$-0.657026\pi$
$197$	−8.05630	+	1.60250i	−0.573988	+	0.114173i	−0.100443	+	0.994943i	$0.532026\pi$
$198$	16.2732	+	17.7974i	1.15649	+	1.26481i
$199$	6.45115	+	15.5744i	0.457310	+	1.10404i	0.969482	+	0.245161i	$0.0788407\pi$
$199$	6.45115	+	15.5744i	0.457310	+	1.10404i	−0.512173	+	0.858882i	$0.671159\pi$
$200$	−4.95952	+	12.7593i	−0.350691	+	0.902219i
$201$	−6.27158	+	8.67482i	−0.442363	+	0.611875i
$202$	2.21916	−	9.36554i	0.156139	−	0.658957i
$203$	−8.87244	−	17.9915i	−0.622723	−	1.26276i
$204$	4.45337	+	1.09189i	0.311798	+	0.0764479i
$205$	0.830727	+	2.44724i	0.0580205	+	0.170923i
$206$	−12.5487	−	23.6807i	−0.874308	−	1.64991i
$207$	−12.6238	−	11.2597i	−0.877414	−	0.782603i
$208$	8.91728	−	1.64123i	0.618302	−	0.113799i
$209$	−5.42867	+	20.2601i	−0.375509	+	1.40142i
$210$	−1.10140	−	1.94243i	−0.0760035	−	0.134040i
$211$	7.85529	+	6.88890i	0.540780	+	0.474251i	0.885620	−	0.464410i	$-0.153734\pi$
$211$	7.85529	+	6.88890i	0.540780	+	0.474251i	−0.344840	+	0.938661i	$0.612067\pi$
$212$	−1.89532	−	2.50703i	−0.130171	−	0.172184i
$213$	−1.92059	+	6.23696i	−0.131597	+	0.427349i
$214$	−11.7577	+	0.342728i	−0.803739	+	0.0234284i
$215$	−4.34081	−	1.79802i	−0.296041	−	0.122624i
$216$	−14.3437	−	3.20296i	−0.975964	−	0.217934i
$217$	−9.36671	+	3.87982i	−0.635854	+	0.263379i
$218$	−0.509434	−	1.13515i	−0.0345032	−	0.0768821i
$219$	22.1171	−	11.7027i	1.49454	−	0.790796i
$220$	3.39837	+	3.02366i	0.229118	+	0.203855i
$221$	−2.99399	+	0.196236i	−0.201397	+	0.0132003i
$222$	−1.43399	−	11.5884i	−0.0962429	−	0.777764i
$223$	−1.22985	+	0.710053i	−0.0823568	+	0.0475487i	−0.540613	−	0.841272i	$-0.681808\pi$
$223$	−1.22985	+	0.710053i	−0.0823568	+	0.0475487i	0.458256	+	0.888820i	$0.348474\pi$
$224$	−8.35312	+	9.81429i	−0.558116	+	0.655745i
$225$	−6.53102	+	12.9679i	−0.435401	+	0.864528i
$226$	−16.3105	−	13.4838i	−1.08496	−	0.896931i
$227$	−5.13648	+	10.4158i	−0.340920	+	0.691318i	−0.998047	−	0.0624620i	$-0.980105\pi$
$227$	−5.13648	+	10.4158i	−0.340920	+	0.691318i	0.657127	+	0.753780i	$0.271771\pi$
$228$	−4.36646	−	12.0139i	−0.289176	−	0.795638i
$229$	−6.97280	−	2.36695i	−0.460776	−	0.156412i	0.0813927	−	0.996682i	$-0.474063\pi$
$229$	−6.97280	−	2.36695i	−0.460776	−	0.156412i	−0.542168	+	0.840270i	$0.682397\pi$
$230$	−2.58687	−	1.86779i	−0.170573	−	0.123159i
$231$	22.1454	−	3.56078i	1.45706	−	0.234282i
$232$	−24.5269	−	4.32079i	−1.61027	−	0.283674i
$233$	19.8440	+	8.21965i	1.30002	+	0.538487i	0.921957	−	0.387291i	$-0.126589\pi$
$233$	19.8440	+	8.21965i	1.30002	+	0.538487i	0.378066	+	0.925779i	$0.376589\pi$
$234$	9.58137	−	0.827905i	0.626354	−	0.0541219i
$235$	−2.29811	−	1.53555i	−0.149912	−	0.100168i
$236$	−6.16695	−	4.80269i	−0.401434	−	0.312628i
$237$	−12.0592	−	16.9787i	−0.783327	−	1.10288i
$238$	3.12311	−	2.90417i	0.202441	−	0.188249i
$239$	2.87282	−	0.769771i	0.185828	−	0.0497923i	−0.164705	−	0.986343i	$-0.552667\pi$
$239$	2.87282	−	0.769771i	0.185828	−	0.0497923i	0.350533	+	0.936551i	$0.386001\pi$
$240$	−2.75333	−	0.322805i	−0.177727	−	0.0208370i
$241$	−9.19659	−	2.46422i	−0.592404	−	0.158734i	−0.0498526	−	0.998757i	$-0.515875\pi$
$241$	−9.19659	−	2.46422i	−0.592404	−	0.158734i	−0.542552	+	0.840022i	$0.682542\pi$
$242$	−26.6282	+	14.1106i	−1.71172	+	0.907063i
$243$	−14.8189	−	4.83722i	−0.950636	−	0.310308i
$244$	4.77033	−	4.70243i	0.305389	−	0.301042i
$245$	0.722501	+	0.0473552i	0.0461589	+	0.00302541i
$246$	13.2227	−	8.68702i	0.843046	−	0.553864i
$247$	5.09199	+	6.63601i	0.323996	+	0.422239i
$248$	−2.98978	+	12.2265i	−0.189851	+	0.776384i
$249$	12.8694	+	4.90547i	0.815562	+	0.310871i
$250$	−1.98003	+	5.20416i	−0.125228	+	0.329140i
$251$	5.18920	−	1.03220i	0.327540	−	0.0651517i	−0.0285816	−	0.999591i	$-0.509099\pi$
$251$	5.18920	−	1.03220i	0.327540	−	0.0651517i	0.356121	+	0.934440i	$0.384099\pi$
$252$	−9.81510	+	9.51422i	−0.618293	+	0.599340i
$253$	26.6488	−	17.8062i	1.67540	−	1.11947i
$254$	7.71369	−	5.48582i	0.484000	−	0.344211i
$255$	0.892507	+	0.212058i	0.0558910	+	0.0132796i
$256$	3.69636	+	15.5672i	0.231022	+	0.972948i
$257$	10.6547	−	18.4546i	0.664625	−	1.15116i	−0.314762	−	0.949171i	$-0.601925\pi$
$257$	10.6547	−	18.4546i	0.664625	−	1.15116i	0.979387	−	0.201993i	$-0.0647419\pi$
$258$	−3.97610	+	28.4865i	−0.247541	+	1.77349i
$259$	−9.74053	−	4.80350i	−0.605247	−	0.298475i
$260$	1.78164	−	0.341133i	0.110493	−	0.0211562i
$261$	−25.4569	−	7.05079i	−1.57574	−	0.436433i
$262$	13.2617	+	16.2780i	0.819308	+	1.00566i
$263$	−3.30597	+	4.30842i	−0.203855	+	0.265669i	−0.884081	−	0.467333i	$-0.845215\pi$
$263$	−3.30597	+	4.30842i	−0.203855	+	0.265669i	0.680226	+	0.733002i	$0.261881\pi$
$264$	12.6881	−	24.7878i	0.780901	−	1.52558i
$265$	−0.382773	−	0.498839i	−0.0235135	−	0.0306435i
$266$	−11.5689	−	2.74123i	−0.709332	−	0.168076i
$267$	−4.09836	−	1.26204i	−0.250815	−	0.0772354i
$268$	11.9160	+	3.28461i	0.727887	+	0.200640i
$269$	−16.3342	−	3.24908i	−0.995917	−	0.198100i	−0.329883	−	0.944022i	$-0.607009\pi$
$269$	−16.3342	−	3.24908i	−0.995917	−	0.198100i	−0.666034	+	0.745922i	$0.732009\pi$
$270$	−2.87419	−	0.620216i	−0.174918	−	0.0377451i
$271$	−1.32975	+	1.32975i	−0.0807766	+	0.0807766i	−0.746341	−	0.665564i	$-0.768191\pi$
$271$	−1.32975	+	1.32975i	−0.0807766	+	0.0807766i	0.665564	+	0.746341i	$0.268191\pi$
$272$	−0.615766	−	5.25869i	−0.0373363	−	0.318855i
$273$	4.24963	−	7.87083i	0.257199	−	0.476364i
$274$	−14.2783	+	13.2773i	−0.862581	+	0.802111i
$275$	−20.6835	−	18.1390i	−1.24726	−	1.09382i
$276$	−7.08768	+	18.2013i	−0.426628	+	1.09559i
$277$	−0.852389	+	13.0049i	−0.0512151	+	0.781392i	0.892586	+	0.450877i	$0.148889\pi$
$277$	−0.852389	+	13.0049i	−0.0512151	+	0.781392i	−0.943801	+	0.330514i	$0.892778\pi$
$278$	−4.75226	−	2.56208i	−0.285022	−	0.153663i
$279$	−4.39731	+	12.6053i	−0.263260	+	0.754659i
$280$	−1.65705	+	1.97543i	−0.0990278	+	0.118054i
$281$	2.70507	+	2.07567i	0.161371	+	0.123824i	0.686290	−	0.727328i	$-0.259238\pi$
$281$	2.70507	+	2.07567i	0.161371	+	0.123824i	−0.524919	+	0.851152i	$0.675905\pi$
$282$	−5.56325	+	15.9792i	−0.331287	+	0.951545i
$283$	9.83105	+	3.33719i	0.584395	+	0.198375i	0.597951	−	0.801533i	$-0.295982\pi$
$283$	9.83105	+	3.33719i	0.584395	+	0.198375i	−0.0135559	+	0.999908i	$0.504315\pi$
$284$	7.52275	−	0.438938i	0.446393	−	0.0260462i
$285$	−0.890783	−	2.39723i	−0.0527654	−	0.142000i
$286$	−3.03262	+	17.9674i	−0.179322	+	1.06243i
$287$		−	14.7150i		−	0.868600i
$288$	2.32288	+	16.8108i	0.136877	+	0.990588i
$289$		−	15.2479i		−	0.896938i
$290$	−4.91305	−	0.829247i	−0.288504	−	0.0486951i
$291$	17.1382	+	2.90349i	1.00466	+	0.170206i
$292$	−21.5861	−	19.2059i	−1.26323	−	1.12394i
$293$	6.80003	+	2.30830i	0.397262	+	0.134852i	0.512919	−	0.858437i	$-0.328564\pi$
$293$	6.80003	+	2.30830i	0.397262	+	0.134852i	−0.115657	+	0.993289i	$0.536897\pi$
$294$	−0.830868	−	4.35387i	−0.0484572	−	0.253923i
$295$	−1.24065	−	0.951983i	−0.0722334	−	0.0554266i
$296$	−11.9588	+	6.22773i	−0.695090	+	0.361979i
$297$	15.9115	−	24.8832i	0.923276	−	1.44387i
$298$	−9.88684	+	18.3386i	−0.572729	+	1.06233i
$299$	0.835937	−	12.7539i	0.0483435	−	0.737579i
$300$	16.6654	+	1.83288i	0.962177	+	0.105822i
$301$	20.1133	+	17.6388i	1.15931	+	1.01669i
$302$	−8.76391	−	9.42460i	−0.504306	−	0.542325i
$303$	−11.7832	+	0.336223i	−0.676927	+	0.0193155i
$304$	−11.2357	+	9.57203i	−0.644413	+	0.548994i
$305$	0.947610	−	0.947610i	0.0542600	−	0.0542600i
$306$	−0.116485	−	5.61458i	−0.00665901	−	0.320964i
$307$	−22.3885	−	4.45335i	−1.27778	−	0.254166i	−0.490869	−	0.871233i	$-0.663321\pi$
$307$	−22.3885	−	4.45335i	−1.27778	−	0.254166i	−0.786910	+	0.617067i	$0.788321\pi$
$308$	−12.7888	−	22.5221i	−0.728709	−	1.28332i
$309$	−24.0505	+	22.3369i	−1.36819	+	1.27070i
$310$	−0.580603	+	2.45033i	−0.0329760	+	0.139169i
$311$	16.1779	+	21.0834i	0.917363	+	1.19553i	0.980300	+	0.197514i	$0.0632867\pi$
$311$	16.1779	+	21.0834i	0.917363	+	1.19553i	−0.0629367	+	0.998018i	$0.520047\pi$
$312$	−4.76210	−	10.0319i	−0.269601	−	0.567947i
$313$	4.70971	−	6.13781i	0.266208	−	0.346929i	−0.641053	−	0.767496i	$-0.721502\pi$
$313$	4.70971	−	6.13781i	0.266208	−	0.346929i	0.907261	+	0.420567i	$0.138169\pi$
$314$	−4.54476	+	3.70261i	−0.256476	+	0.208950i
$315$	−1.94997	+	1.91749i	−0.109868	+	0.108038i
$316$	−13.5028	+	19.8982i	−0.759594	+	1.11936i
$317$	−27.2512	−	13.4388i	−1.53058	−	0.754799i	−0.534663	−	0.845066i	$-0.679561\pi$
$317$	−27.2512	−	13.4388i	−1.53058	−	0.754799i	−0.995918	+	0.0902671i	$0.971228\pi$
$318$	−2.36692	+	3.03543i	−0.132731	+	0.170218i
$319$	25.0246	−	43.3439i	1.40111	−	2.42679i
$320$	0.761817	+	3.10907i	0.0425869	+	0.173802i
$321$	4.12401	+	13.8034i	0.230180	+	0.770430i
$322$	10.5290	+	14.8049i	0.586756	+	0.825047i
$323$	4.06120	−	2.71361i	0.225971	−	0.150989i
$324$	0.746566	+	17.9845i	0.0414759	+	0.999140i
$325$	−10.7601	+	2.14032i	−0.596863	+	0.118723i
$326$	−1.84005	−	0.700085i	−0.101911	−	0.0387741i
$327$	−1.18200	+	0.961769i	−0.0653650	+	0.0531860i
$328$	−14.7342	−	10.8000i	−0.813561	−	0.596331i
$329$	9.58016	+	12.4851i	0.528171	+	0.688326i
$330$	2.50284	−	4.97724i	0.137777	−	0.273988i
$331$	−11.6886	−	0.766110i	−0.642463	−	0.0421092i	−0.259310	−	0.965794i	$-0.583495\pi$
$331$	−11.6886	−	0.766110i	−0.642463	−	0.0421092i	−0.383153	+	0.923685i	$0.625162\pi$
$332$	0.113990	−	15.9028i	0.00625599	−	0.872779i
$333$	−13.2580	+	5.36166i	−0.726534	+	0.293817i
$334$	14.4993	+	27.3617i	0.793365	+	1.49716i
$335$	2.38863	+	0.640032i	0.130505	+	0.0349687i
$336$	14.2541	+	6.77960i	0.777625	+	0.369858i
$337$	−21.9071	+	5.86998i	−1.19335	+	0.319758i	−0.800211	−	0.599719i	$-0.795279\pi$
$337$	−21.9071	+	5.86998i	−1.19335	+	0.319758i	−0.393144	+	0.919477i	$0.628613\pi$
$338$	−7.57121	−	8.14198i	−0.411819	−	0.442866i
$339$	−10.7958	+	23.5632i	−0.586347	+	1.27978i
$340$	−0.130731	−	1.05117i	−0.00708990	−	0.0570077i
$341$	−21.0319	−	14.0531i	−1.13894	−	0.761016i
$342$	−12.8340	+	8.96593i	−0.693981	+	0.484822i
$343$	−18.5426	−	7.68061i	−1.00121	−	0.414714i
$344$	32.4239	−	7.19354i	1.74818	−	0.387849i
$345$	−1.39186	+	3.65151i	−0.0749353	+	0.196591i
$346$	−0.199264	+	0.275979i	−0.0107125	+	0.0148367i
$347$	13.9918	+	4.74956i	0.751117	+	0.254970i	0.670636	−	0.741786i	$-0.266021\pi$
$347$	13.9918	+	4.74956i	0.751117	+	0.254970i	0.0804805	+	0.996756i	$0.474355\pi$
$348$	2.64449	+	30.3869i	0.141759	+	1.62891i
$349$	−8.13831	+	16.5029i	−0.435634	+	0.883378i	0.562755	+	0.826624i	$0.309742\pi$
$349$	−8.13831	+	16.5029i	−0.435634	+	0.883378i	−0.998388	+	0.0567536i	$0.981925\pi$
$350$	9.93579	−	12.0187i	0.531090	−	0.642426i
$351$	−4.00979	−	11.0749i	−0.214027	−	0.591135i
$352$	−31.9378	−	3.72454i	−1.70229	−	0.198519i
$353$	5.40531	−	3.12076i	0.287696	−	0.166101i	−0.349206	−	0.937046i	$-0.613549\pi$
$353$	5.40531	−	3.12076i	0.287696	−	0.166101i	0.636902	+	0.770945i	$0.280215\pi$
$354$	−3.73221	+	8.81568i	−0.198365	+	0.468548i
$355$	1.50437	−	0.0986018i	0.0798438	−	0.00523324i
$356$	0.288430	+	4.94326i	0.0152868	+	0.261992i
$357$	−4.42395	−	2.77681i	−0.234140	−	0.146964i
$358$	20.7117	−	9.29502i	1.09465	−	0.491257i
$359$	9.22143	−	3.81964i	0.486689	−	0.201593i	−0.125826	−	0.992052i	$-0.540158\pi$
$359$	9.22143	−	3.81964i	0.486689	−	0.201593i	0.612515	+	0.790459i	$0.290158\pi$
$360$	0.488823	+	3.35985i	0.0257632	+	0.177080i
$361$	4.97364	+	2.06015i	0.261770	+	0.108429i
$362$	0.806865	+	27.6804i	0.0424079	+	1.45485i
$363$	25.1172	+	27.0440i	1.31831	+	1.41944i
$364$	−10.2303	−	1.42151i	−0.536212	−	0.0745074i
$365$	−4.34606	−	3.81139i	−0.227483	−	0.199497i
$366$	−7.07262	−	4.15710i	−0.369692	−	0.217295i
$367$	−7.98357	+	29.7951i	−0.416739	+	1.55529i	0.364588	+	0.931169i	$0.381210\pi$
$367$	−7.98357	+	29.7951i	−0.416739	+	1.55529i	−0.781327	+	0.624122i	$0.785457\pi$
$368$	22.5519	+	0.323316i	1.17560	+	0.0168540i
$369$	−14.4603	−	12.8978i	−0.752776	−	0.671432i
$370$	−2.38355	+	1.26307i	−0.123915	+	0.0656639i
$371$	1.15079	+	3.39010i	0.0597458	+	0.176005i
$372$	15.4120	−	0.329230i	0.799077	−	0.0170698i
$373$	−15.8191	−	32.0780i	−0.819084	−	1.66094i	−0.748218	−	0.663453i	$-0.769090\pi$
$373$	−15.8191	−	32.0780i	−0.819084	−	1.66094i	−0.0708658	−	0.997486i	$-0.522576\pi$
$374$	10.3536	+	2.45328i	0.535371	+	0.126856i
$375$	6.78380	+	0.696917i	0.350314	+	0.0359886i
$376$	19.5327	−	0.429267i	1.00732	−	0.0221377i
$377$	−7.63801	−	18.4398i	−0.393378	−	0.949698i
$378$	14.3614	+	8.60434i	0.738672	+	0.442559i
$379$	18.4721	−	3.67434i	0.948850	−	0.188738i	0.303677	−	0.952775i	$-0.401786\pi$
$379$	18.4721	−	3.67434i	0.948850	−	0.188738i	0.645172	+	0.764037i	$0.276786\pi$
$380$	−2.23409	+	1.93109i	−0.114607	+	0.0990631i
$381$	−8.93039	−	7.39195i	−0.457518	−	0.378701i
$382$	−34.4908	−	15.7768i	−1.76470	−	0.807213i
$383$	14.5661	−	25.2292i	0.744293	−	1.28915i	−0.206232	−	0.978503i	$-0.566120\pi$
$383$	14.5661	−	25.2292i	0.744293	−	1.28915i	0.950525	−	0.310649i	$-0.100547\pi$
$384$	17.2502	−	9.29683i	0.880295	−	0.474427i
$385$	−2.59083	−	4.48744i	−0.132041	−	0.228701i
$386$	−1.76004	−	18.5514i	−0.0895837	−	0.944239i
$387$	34.9630	−	4.30461i	1.77727	−	0.218816i
$388$	−3.77454	−	19.7133i	−0.191623	−	1.00079i
$389$	2.40814	+	2.74596i	0.122098	+	0.139226i	0.809659	−	0.586901i	$-0.199652\pi$
$389$	2.40814	+	2.74596i	0.122098	+	0.139226i	−0.687561	+	0.726126i	$0.741319\pi$
$390$	−0.967093	−	2.00016i	−0.0489706	−	0.101282i
$391$	−7.39966	−	0.974183i	−0.374217	−	0.0492666i
$392$	−4.37514	+	2.65584i	−0.220978	+	0.134140i
$393$	15.0661	−	20.8394i	0.759984	−	1.05121i
$394$	7.97131	−	8.44998i	0.401589	−	0.425704i
$395$	−2.67285	+	4.00020i	−0.134485	+	0.201272i
$396$	−33.3418	−	7.17331i	−1.67549	−	0.360473i
$397$	18.9963	+	3.77861i	0.953399	+	0.189643i	0.647196	−	0.762324i	$-0.275942\pi$
$397$	18.9963	+	3.77861i	0.953399	+	0.189643i	0.306203	+	0.951966i	$0.400942\pi$
$398$	−20.2000	−	12.6618i	−1.01253	−	0.634678i
$399$	0.415322	+	14.5553i	0.0207921	+	0.728676i
$400$	−4.74205	−	18.7698i	−0.237102	−	0.938491i
$401$	−5.42299	+	1.45309i	−0.270811	+	0.0725636i	−0.391669	−	0.920106i	$-0.628102\pi$
$401$	−5.42299	+	1.45309i	−0.270811	+	0.0725636i	0.120858	+	0.992670i	$0.461435\pi$
$402$	0.117812	−	15.1379i	0.00587595	−	0.755011i
$403$	−9.55197	+	3.24246i	−0.475818	+	0.161518i
$404$	5.11867	+	12.6125i	0.254663	+	0.627495i
$405$	0.175148	+	3.59691i	0.00870318	+	0.178732i
$406$	24.9716	+	13.4629i	1.23932	+	0.668152i
$407$	−3.53679	−	26.8646i	−0.175312	−	1.33163i
$408$	−6.02737	+	2.39169i	−0.298399	+	0.118406i
$409$	−2.42127	+	18.3914i	−0.119724	+	0.909396i	0.821167	+	0.570688i	$0.193323\pi$
$409$	−2.42127	+	18.3914i	−0.119724	+	0.909396i	−0.940891	+	0.338708i	$0.890010\pi$
$410$	−2.96322	−	2.13953i	−0.146343	−	0.105664i
$411$	20.2254	+	12.6951i	0.997647	+	0.626201i
$412$	33.8714	+	17.0064i	1.66872	+	0.837846i
$413$	4.94678	+	7.40338i	0.243415	+	0.364296i
$414$	23.7774	+	2.62986i	1.16860	+	0.129251i
$415$		−	3.18168i		−	0.156183i
$416$	−8.93183	+	9.20030i	−0.437919	+	0.451082i
$417$	−1.52852	+	6.43319i	−0.0748518	+	0.315035i
$418$	−10.3492	−	27.7989i	−0.506194	−	1.35969i
$419$	−19.6853	+	1.29024i	−0.961691	+	0.0630325i	−0.538154	−	0.842846i	$-0.680878\pi$
$419$	−19.6853	+	1.29024i	−0.961691	+	0.0630325i	−0.423537	+	0.905879i	$0.639212\pi$
$420$	2.86140	+	1.33589i	0.139622	+	0.0651847i
$421$	9.36931	−	8.21666i	0.456632	−	0.400456i	−0.399892	−	0.916562i	$-0.630952\pi$
$421$	9.36931	−	8.21666i	0.456632	−	0.400456i	0.856524	+	0.516107i	$0.172619\pi$
$422$	−14.6994	−	1.50097i	−0.715555	−	0.0730663i
$423$	20.6661	+	1.52891i	1.00482	+	0.0743381i
$424$	4.23914	+	1.33587i	0.205871	+	0.0648754i
$425$	0.836196	+	6.35154i	0.0405615	+	0.308095i
$426$	−2.89850	−	8.76215i	−0.140433	−	0.424528i
$427$	−6.84348	+	3.37483i	−0.331179	+	0.163319i
$428$	13.2696	−	10.0319i	0.641412	−	0.484908i
$429$	22.2183	−	2.09416i	1.07271	−	0.101107i
$430$	6.47642	−	1.48564i	0.312321	−	0.0716438i
$431$	10.0459	+	10.0459i	0.483896	+	0.483896i	0.906373	−	0.422478i	$-0.138840\pi$
$431$	10.0459	+	10.0459i	0.483896	+	0.483896i	−0.422478	+	0.906373i	$0.638840\pi$
$432$	19.1561	−	8.06504i	0.921647	−	0.388030i
$433$	3.46735	−	3.46735i	0.166630	−	0.166630i	−0.618866	−	0.785496i	$-0.712408\pi$
$433$	3.46735	−	3.46735i	0.166630	−	0.166630i	0.785496	+	0.618866i	$0.212408\pi$
$434$	7.61499	−	12.1486i	0.365531	−	0.583151i
$435$	0.572631	+	6.07542i	0.0274556	+	0.291294i
$436$	1.51751	+	0.890698i	0.0726755	+	0.0426567i
$437$	9.20255	+	18.6609i	0.440218	+	0.892673i
$438$	−15.8978	+	31.6149i	−0.759626	+	1.51062i
$439$	−18.3852	+	2.42046i	−0.877478	+	0.115522i	−0.555789	−	0.831323i	$-0.687584\pi$
$439$	−18.3852	+	2.42046i	−0.877478	+	0.115522i	−0.321689	+	0.946845i	$0.604251\pi$
$440$	−6.39483	−	0.699334i	−0.304861	−	0.0333394i
$441$	−4.88876	+	2.36004i	−0.232798	+	0.112383i
$442$	3.28968	−	2.68010i	0.156474	−	0.127479i
$443$	−9.21389	−	10.5064i	−0.437765	−	0.499175i	0.490321	−	0.871542i	$-0.336880\pi$
$443$	−9.21389	−	10.5064i	−0.437765	−	0.499175i	−0.928086	+	0.372367i	$0.878546\pi$
$444$	11.1508	+	12.1801i	0.529193	+	0.578044i
$445$	0.0647921	+	0.988536i	0.00307144	+	0.0468611i
$446$	0.835405	−	1.82634i	0.0395575	−	0.0864796i
$447$	24.8252	+	5.89842i	1.17419	+	0.278986i
$448$	1.58282	−	18.1572i	0.0747811	−	0.857848i
$449$	−29.6075			−1.39727			−0.698633	−	0.715480i	$-0.746208\pi$
$449$	−29.6075			−1.39727			−0.698633	+	0.715480i	$0.746208\pi$
$450$	−3.10192	−	20.2983i	−0.146226	−	0.956871i
$451$	30.5258	−	20.3967i	1.43740	−	0.960443i
$452$	29.8493	+	2.17140i	1.40399	+	0.102134i
$453$	−8.37959	+	13.3501i	−0.393707	+	0.627245i
$454$	−2.61728	−	16.2140i	−0.122835	−	0.760959i
$455$	−2.04871	−	0.269717i	−0.0960449	−	0.0126446i
$456$	14.8791	+	10.2669i	0.696778	+	0.480793i
$457$	−2.77053	+	0.364747i	−0.129600	+	0.0170622i	−0.195047	−	0.980794i	$-0.562486\pi$
$457$	−2.77053	+	0.364747i	−0.129600	+	0.0170622i	0.0654471	+	0.997856i	$0.479153\pi$
$458$	9.97605	−	2.98720i	0.466150	−	0.139583i
$459$	−6.60637	+	1.91349i	−0.308359	+	0.0893142i
$460$	4.51221	+	0.0323430i	0.210383	+	0.00150800i
$461$	−9.28841	−	27.3628i	−0.432604	−	1.27441i	−0.916763	−	0.399431i	$-0.869208\pi$
$461$	−9.28841	−	27.3628i	−0.432604	−	1.27441i	0.484159	−	0.874980i	$-0.339126\pi$
$462$	−22.6038	+	22.2546i	−1.05162	+	1.03538i
$463$	−3.28089	−	12.2444i	−0.152476	−	0.569048i	−0.999308	−	0.0371879i	$-0.988160\pi$
$463$	−3.28089	−	12.2444i	−0.152476	−	0.569048i	0.846832	−	0.531860i	$-0.178507\pi$
$464$	31.8083	−	15.1232i	1.47666	−	0.702075i
$465$	3.08286	−	0.0879668i	0.142964	−	0.00407936i
$466$	−29.6069	+	6.79158i	−1.37151	+	0.314614i
$467$	3.30068	−	16.5936i	0.152737	−	0.767861i	−0.826148	−	0.563452i	$-0.809473\pi$
$467$	3.30068	−	16.5936i	0.152737	−	0.767861i	0.978886	−	0.204409i	$-0.0655272\pi$
$468$	−10.3638	+	8.80725i	−0.479067	+	0.407115i
$469$	−11.7072	−	7.82250i	−0.540588	−	0.361210i
$470$	3.90710	−	0.113889i	0.180221	−	0.00525332i
$471$	5.81828	+	4.20641i	0.268092	+	0.193821i
$472$	11.0437	+	0.480445i	0.508328	+	0.0221143i
$473$	−8.71194	+	66.1738i	−0.400576	+	3.04267i
$474$	27.8141	+	9.68366i	1.27754	+	0.444785i
$475$	13.4275	−	11.7756i	0.616096	−	0.540302i
$476$	−1.21901	+	5.90678i	−0.0558732	+	0.270737i
$477$	4.34010	+	1.84058i	0.198720	+	0.0842742i
$478$	−2.67996	+	3.24178i	−0.122579	+	0.148276i
$479$	18.7062	−	10.8000i	0.854707	−	0.493465i	−0.00752915	−	0.999972i	$-0.502397\pi$
$479$	18.7062	−	10.8000i	0.854707	−	0.493465i	0.862236	+	0.506506i	$0.169063\pi$
$480$	3.43774	−	1.88466i	0.156911	−	0.0860227i
$481$	−9.35806	−	5.40288i	−0.426691	−	0.246350i
$482$	12.6186	−	4.69776i	0.574764	−	0.213977i
$483$	14.1874	−	17.1402i	0.645550	−	0.779904i
$484$	19.1232	−	38.0873i	0.869235	−	1.73124i
$485$	−0.783405	−	3.93844i	−0.0355726	−	0.178835i
$486$	21.0433	−	6.57113i	0.954543	−	0.298072i
$487$	−25.1046	+	10.3987i	−1.13760	+	0.471209i	−0.870357	−	0.492421i	$-0.836112\pi$
$487$	−25.1046	+	10.3987i	−1.13760	+	0.471209i	−0.267242	+	0.963630i	$0.586112\pi$
$488$	−1.64351	+	9.32935i	−0.0743982	+	0.422320i
$489$	−0.246411	+	2.39857i	−0.0111431	+	0.108467i
$490$	−0.871484	+	0.537602i	−0.0393696	+	0.0242864i
$491$	13.7352	−	6.77348i	0.619863	−	0.305683i	−0.105109	−	0.994461i	$-0.533519\pi$
$491$	13.7352	−	6.77348i	0.619863	−	0.305683i	0.724972	+	0.688778i	$0.241853\pi$
$492$	−8.11882	+	20.8492i	−0.366025	+	0.939956i
$493$	−11.0364	+	3.74635i	−0.497053	+	0.168727i
$494$	−11.3075	−	3.47438i	−0.508747	−	0.156320i
$495$	−6.68066	−	1.38728i	−0.300273	−	0.0623537i
$496$	−6.57546	−	16.5413i	−0.295247	−	0.742728i
$497$	−8.29147	−	2.22169i	−0.371923	−	0.0996565i
$498$	−18.8524	+	4.89455i	−0.844794	+	0.219330i
$499$	−3.92679	+	4.47764i	−0.175787	+	0.200447i	−0.833023	−	0.553238i	$-0.813392\pi$
$499$	−3.92679	+	4.47764i	−0.175787	+	0.200447i	0.657236	+	0.753685i	$0.271725\pi$
$500$	−1.98350	−	7.62058i	−0.0887047	−	0.340803i
$501$	27.7890	−	25.8091i	1.24152	−	1.15306i
$502$	−5.13446	+	5.44278i	−0.229162	+	0.242923i
$503$	−0.0523749	+	0.126444i	−0.00233528	+	0.00563787i	−0.925043	−	0.379863i	$-0.875971\pi$
$503$	−0.0523749	+	0.126444i	−0.00233528	+	0.00563787i	0.922708	+	0.385501i	$0.125971\pi$
$504$	3.51368	−	19.0097i	0.156512	−	0.846758i
$505$	1.04213	+	2.51592i	0.0463741	+	0.111957i
$506$	−16.1180	+	42.3633i	−0.716532	+	1.88328i
$507$	−7.23919	+	11.5333i	−0.321503	+	0.512211i
$508$	−4.39360	+	12.6446i	−0.194935	+	0.561015i
$509$	−0.166936	−	2.54696i	−0.00739932	−	0.112892i	0.992561	−	0.121744i	$-0.0388488\pi$
$509$	−0.166936	−	2.54696i	−0.00739932	−	0.112892i	−0.999961	+	0.00885248i	$0.997182\pi$
$510$	−1.20241	+	0.487126i	−0.0532435	+	0.0215703i
$511$	16.4566	+	28.5037i	0.727999	+	1.26093i
$512$	−17.0192	−	14.9113i	−0.752150	−	0.658992i
$513$	14.6674	+	12.3497i	0.647583	+	0.545251i
$514$	2.84636	+	30.0015i	0.125547	+	1.32331i
$515$	6.80070	+	3.35373i	0.299675	+	0.147783i
$516$	−18.7658	−	36.0892i	−0.826120	−	1.58874i
$517$	−12.6207	+	37.1795i	−0.555060	+	1.63515i
$518$	15.1629	−	2.44761i	0.666217	−	0.107542i
$519$	0.389559	+	0.148490i	0.0170998	+	0.00651799i
$520$	−1.77371	+	1.85342i	−0.0777823	+	0.0812780i
$521$	−14.7760	+	35.6725i	−0.647350	+	1.56284i	0.169209	+	0.985580i	$0.445879\pi$
$521$	−14.7760	+	35.6725i	−0.647350	+	1.56284i	−0.816559	+	0.577262i	$0.804121\pi$
$522$	35.1177	−	12.7391i	1.53706	−	0.557577i
$523$	−4.29786	+	6.43220i	−0.187932	+	0.281260i	−0.913457	−	0.406936i	$-0.866597\pi$
$523$	−4.29786	+	6.43220i	−0.187932	+	0.281260i	0.725524	+	0.688196i	$0.241597\pi$
$524$	−28.6257	−	7.89056i	−1.25052	−	0.344701i
$525$	−17.3629	−	7.95506i	−0.757779	−	0.347187i
$526$	0.278794	−	7.67503i	0.0121560	−	0.334647i
$527$	1.52454	+	5.68967i	0.0664101	+	0.247846i
$528$	5.69375	+	38.9670i	0.247789	+	1.69582i
$529$	2.27590	−	8.49378i	0.0989522	−	0.369295i
$530$	0.849999	+	0.261175i	0.0369216	+	0.0113447i
$531$	11.6111	+	1.62794i	0.503880	+	0.0706464i
$532$	15.5797	−	6.32287i	0.675465	−	0.274131i
$533$	0.957552	−	14.6094i	0.0414762	−	0.632804i
$534$	5.75768	−	1.90463i	0.249159	−	0.0824213i
$535$	2.64034	−	2.02600i	0.114152	−	0.0875918i
$536$	−16.4252	+	5.98119i	−0.709459	+	0.258348i
$537$	−17.5482	−	21.5666i	−0.757261	−	0.930666i
$538$	21.4880	−	9.64340i	0.926412	−	0.415757i
$539$	−2.00663	−	10.0880i	−0.0864315	−	0.434521i
$540$	3.82080	−	1.64096i	0.164421	−	0.0706159i
$541$	7.92903	+	11.8666i	0.340896	+	0.510186i	0.961820	−	0.273685i	$-0.0882424\pi$
$541$	7.92903	+	11.8666i	0.340896	+	0.510186i	−0.620924	+	0.783871i	$0.713242\pi$
$542$	0.442622	−	2.62241i	0.0190122	−	0.112642i
$543$	32.4965	−	9.70890i	1.39456	−	0.416649i
$544$	5.01980	+	5.55585i	0.215222	+	0.238205i
$545$	0.304871	+	0.176017i	0.0130592	+	0.00753974i
$546$	1.55348	+	12.5541i	0.0664829	+	0.537266i
$547$	2.42637	−	4.92020i	0.103744	−	0.210372i	−0.838811	−	0.544423i	$-0.816749\pi$
$547$	2.42637	−	4.92020i	0.103744	−	0.210372i	0.942555	+	0.334050i	$0.108415\pi$
$548$	5.57307	−	27.0047i	0.238070	−	1.15358i
$549$	−2.68193	+	9.68310i	−0.114462	+	0.413265i
$550$	38.7045	+	3.95217i	1.65037	+	0.168521i
$551$	25.7771	+	19.7795i	1.09814	+	0.842635i
$552$	−6.74973	−	26.7859i	−0.287287	−	1.14008i
$553$	21.7322	−	16.6757i	0.924145	−	0.709122i
$554$	−9.67679	−	15.6866i	−0.411127	−	0.666461i
$555$	2.24829	+	2.42077i	0.0954348	+	0.102756i
$556$	7.57684	−	0.942311i	0.321330	−	0.0399629i
$557$	−0.906351	+	4.55653i	−0.0384033	+	0.193067i	−0.995225	−	0.0976098i	$-0.968880\pi$
$557$	−0.906351	+	4.55653i	−0.0384033	+	0.193067i	0.956821	+	0.290676i	$0.0938803\pi$
$558$	−5.26376	−	18.1315i	−0.222833	−	0.767569i
$559$	18.8211	+	18.8211i	0.796048	+	0.796048i
$560$	0.290621	−	3.63481i	0.0122810	−	0.153599i
$561$	−0.371694	−	13.0263i	−0.0156929	−	0.549972i
$562$	−4.81882	−	0.175043i	−0.203270	−	0.00738373i
$563$	−16.0416	+	18.2920i	−0.676074	+	0.770915i	−0.983549	−	0.180642i	$-0.942183\pi$
$563$	−16.0416	+	18.2920i	−0.676074	+	0.770915i	0.307475	+	0.951556i	$0.400516\pi$
$564$	−6.68533	−	22.9755i	−0.281503	−	0.967443i
$565$	5.97477	+	0.391607i	0.251360	+	0.0164750i
$566$	−14.0654	+	4.21169i	−0.591211	+	0.177031i
$567$	5.63877	−	19.7137i	0.236806	−	0.827900i
$568$	−8.31008	+	6.67169i	−0.348683	+	0.279938i
$569$	−10.0255	+	13.0655i	−0.420291	+	0.547734i	−0.954730	−	0.297473i	$-0.903856\pi$
$569$	−10.0255	+	13.0655i	−0.420291	+	0.547734i	0.534439	+	0.845207i	$0.320523\pi$
$570$	2.99144	+	2.03267i	0.125298	+	0.0851391i
$571$	−3.45643	+	10.1823i	−0.144647	+	0.426117i	−0.994973	−	0.100139i	$-0.968071\pi$
$571$	−3.45643	+	10.1823i	−0.144647	+	0.426117i	0.850326	+	0.526256i	$0.176405\pi$
$572$	−11.2314	−	23.1927i	−0.469610	−	0.969737i
$573$	−7.75918	+	45.7994i	−0.324144	+	1.91330i
$574$	12.0608	+	16.9588i	0.503406	+	0.707847i
$575$	−27.2901			−1.13807
$576$	−16.4556	−	17.4703i	−0.685651	−	0.727930i
$577$	−16.7349			−0.696684			−0.348342	−	0.937367i	$-0.613255\pi$
$577$	−16.7349			−0.696684			−0.348342	+	0.937367i	$0.613255\pi$
$578$	12.4976	+	17.5730i	0.519830	+	0.730941i
$579$	−21.3935	+	7.94955i	−0.889082	+	0.330372i
$580$	6.34188	−	3.07116i	0.263332	−	0.127523i
$581$	−5.82314	+	17.1544i	−0.241584	+	0.711685i
$582$	−22.1312	+	10.7006i	−0.917369	+	0.443555i
$583$	−5.43754	+	7.08634i	−0.225200	+	0.293486i
$584$	40.6192	+	4.44209i	1.68083	+	0.183815i
$585$	−2.06075	+	1.77684i	−0.0852017	+	0.0734634i
$586$	−9.72886	+	2.91318i	−0.401895	+	0.120342i
$587$	36.1054	+	2.36647i	1.49023	+	0.0976748i	0.788617	−	0.614885i	$-0.210797\pi$
$587$	36.1054	+	2.36647i	1.49023	+	0.0976748i	0.701612	+	0.712559i	$0.252464\pi$
$588$	4.52609	+	4.33677i	0.186653	+	0.178845i
$589$	10.8272	−	12.3460i	0.446127	−	0.508710i
$590$	2.21009	+	0.0802812i	0.0909881	+	0.00330512i
$591$	−12.5191	−	6.75933i	−0.514967	−	0.278041i
$592$	8.67791	−	16.9790i	0.356660	−	0.697835i
$593$	−0.0279938	−	0.0279938i	−0.00114957	−	0.00114957i	0.706532	−	0.707681i	$-0.250259\pi$
$593$	−0.0279938	−	0.0279938i	−0.00114957	−	0.00114957i	−0.707681	+	0.706532i	$0.750259\pi$
$594$	2.05717	+	41.7189i	0.0844066	+	1.71175i
$595$	−0.235405	+	1.18346i	−0.00965065	+	0.0485171i
$596$	−3.63630	−	29.2384i	−0.148949	−	1.19765i
$597$	−8.59306	+	27.9052i	−0.351691	+	1.14208i
$598$	9.49001	+	15.3839i	0.388075	+	0.629093i
$599$	−9.25681	+	7.10300i	−0.378223	+	0.290221i	−0.780325	−	0.625374i	$-0.784946\pi$
$599$	−9.25681	+	7.10300i	−0.378223	+	0.290221i	0.402102	+	0.915595i	$0.368280\pi$
$600$	−20.7089	+	11.5470i	−0.845436	+	0.471403i
$601$	−37.0179	−	28.4048i	−1.50999	−	1.15866i	−0.941996	−	0.335624i	$-0.891053\pi$
$601$	−37.0179	−	28.4048i	−1.50999	−	1.15866i	−0.567995	−	0.823032i	$-0.692281\pi$
$602$	−37.6374	−	3.84321i	−1.53399	−	0.156637i
$603$	−17.9486	+	4.64812i	−0.730922	+	0.189286i
$604$	17.8249	+	3.67860i	0.725284	+	0.149680i
$605$	3.77117	−	7.64717i	0.153320	−	0.310902i
$606$	13.3044	−	10.0453i	0.540453	−	0.408061i
$607$	−38.8071	−	22.4053i	−1.57513	−	0.909402i	−0.995524	−	0.0945056i	$-0.969873\pi$
$607$	−38.8071	−	22.4053i	−1.57513	−	0.909402i	−0.579606	−	0.814897i	$-0.696794\pi$
$608$	5.10353	−	20.2407i	0.206975	−	0.820867i
$609$	8.03187	−	33.8044i	0.325468	−	1.36982i
$610$	−0.315422	+	1.86879i	−0.0127711	+	0.0756650i
$611$	8.69897	+	13.0189i	0.351923	+	0.526690i
$612$	4.73608	+	6.37524i	0.191445	+	0.257704i
$613$	0.468268	+	2.35414i	0.0189132	+	0.0950830i	0.989089	−	0.147319i	$-0.0470645\pi$
$613$	0.468268	+	2.35414i	0.0189132	+	0.0950830i	−0.970176	+	0.242402i	$0.922065\pi$
$614$	29.4525	−	13.2177i	1.18860	−	0.533424i
$615$	−1.59436	+	4.18275i	−0.0642906	+	0.168665i
$616$	33.1985	+	15.4744i	1.33761	+	0.623481i
$617$	−27.8963	+	21.4056i	−1.12306	+	0.861757i	−0.991572	−	0.129560i	$-0.958644\pi$
$617$	−27.8963	+	21.4056i	−1.12306	+	0.861757i	−0.131492	+	0.991317i	$0.541977\pi$
$618$	9.40995	−	45.4553i	0.378524	−	1.82848i
$619$	−0.733437	+	11.1901i	−0.0294793	+	0.449767i	0.957448	+	0.288604i	$0.0931912\pi$
$619$	−0.733437	+	11.1901i	−0.0294793	+	0.449767i	−0.986928	+	0.161163i	$0.948475\pi$
$620$	−1.33921	−	3.29984i	−0.0537839	−	0.132525i
$621$	−4.40817	−	28.9653i	−0.176894	−	1.16234i
$622$	−35.9252	−	11.0385i	−1.44047	−	0.442605i
$623$	1.45989	−	5.44839i	0.0584893	−	0.218285i
$624$	13.7106	+	7.65852i	0.548865	+	0.306586i
$625$	5.85554	+	21.8532i	0.234222	+	0.874127i
$626$	−0.397172	+	10.9339i	−0.0158742	+	0.437007i
$627$	−29.6188	+	21.0369i	−1.18286	+	0.840132i
$628$	2.20302	−	7.99219i	0.0879100	−	0.318923i
$629$	−3.50560	+	5.24650i	−0.139777	+	0.209191i
$630$	0.675687	−	3.80812i	0.0269200	−	0.151719i
$631$	−12.0567	+	29.1075i	−0.479971	+	1.15875i	0.479651	+	0.877459i	$0.340763\pi$
$631$	−12.0567	+	29.1075i	−0.479971	+	1.15875i	−0.959622	+	0.281293i	$0.909237\pi$
$632$	−0.747202	−	33.9996i	−0.0297221	−	1.35243i
$633$	2.87287	+	17.8671i	0.114186	+	0.710154i
$634$	42.4213	−	6.84770i	1.68477	−	0.271957i
$635$	−0.860852	+	2.53599i	−0.0341619	+	0.100638i
$636$	0.239935	−	5.43827i	0.00951406	−	0.215641i
$637$	−3.67879	−	1.81418i	−0.145759	−	0.0718803i
$638$	6.68519	+	70.4639i	0.264669	+	2.78969i
$639$	−9.45076	+	6.20065i	−0.373866	+	0.245294i
$640$	−3.42625	−	2.95875i	−0.135434	−	0.116955i
$641$	2.42707	+	4.20381i	0.0958636	+	0.166041i	0.909969	−	0.414677i	$-0.136105\pi$
$641$	2.42707	+	4.20381i	0.0958636	+	0.166041i	−0.814105	+	0.580718i	$0.802772\pi$
$642$	−16.0664	−	12.5281i	−0.634091	−	0.494443i
$643$	0.975639	+	14.8854i	0.0384755	+	0.587022i	0.972953	+	0.231001i	$0.0742001\pi$
$643$	0.975639	+	14.8854i	0.0384755	+	0.587022i	−0.934478	+	0.356021i	$0.884133\pi$
$644$	−24.2689	−	8.43266i	−0.956329	−	0.332293i
$645$	−3.80605	−	7.19310i	−0.149863	−	0.283228i
$646$	−2.45633	+	6.45604i	−0.0966432	+	0.254010i
$647$	13.9808	+	33.7526i	0.549641	+	1.32695i	0.917747	+	0.397166i	$0.130006\pi$
$647$	13.9808	+	33.7526i	0.549641	+	1.32695i	−0.368106	+	0.929784i	$0.619994\pi$
$648$	−15.6009	−	20.1150i	−0.612862	−	0.790190i
$649$	−8.50126	+	20.5239i	−0.333704	+	0.805632i
$650$	10.6466	−	11.2859i	0.417594	−	0.442670i
$651$	−16.7826	−	5.16800i	−0.657763	−	0.202550i
$652$	2.69443	−	0.701311i	0.105522	−	0.0274655i
$653$	18.6845	−	21.3055i	0.731179	−	0.833750i	−0.260093	−	0.965584i	$-0.583753\pi$
$653$	18.6845	−	21.3055i	0.731179	−	0.833750i	0.991272	+	0.131833i	$0.0420864\pi$
$654$	0.573953	−	2.07722i	0.0224433	−	0.0812258i
$655$	−5.73817	−	1.53754i	−0.224209	−	0.0600766i
$656$	25.8329	+	0.370354i	1.00860	+	0.0144599i
$657$	42.4348	+	8.81186i	1.65554	+	0.343783i
$658$	−21.2741	−	6.53676i	−0.829349	−	0.254830i
$659$	−43.9289	+	14.9118i	−1.71123	+	0.580883i	−0.993334	−	0.115271i	$-0.963226\pi$
$659$	−43.9289	+	14.9118i	−1.71123	+	0.580883i	−0.717892	+	0.696154i	$0.754893\pi$
$660$	1.19497	+	7.78758i	0.0465142	+	0.303131i
$661$	28.7046	−	14.1556i	1.11648	−	0.550588i	0.212072	−	0.977254i	$-0.431979\pi$
$661$	28.7046	−	14.1556i	1.11648	−	0.550588i	0.904409	+	0.426666i	$0.140312\pi$
$662$	14.0988	−	8.69730i	0.547966	−	0.338030i
$663$	−4.21151	−	3.04477i	−0.163561	−	0.118249i
$664$	12.9029	+	18.4211i	0.500730	+	0.714879i
$665$	3.10781	−	1.28730i	0.120516	−	0.0499192i
$666$	10.8851	−	17.0458i	0.421788	−	0.660510i
$667$	−9.68587	−	48.6941i	−0.375038	−	1.88544i
$668$	−39.1364	−	19.6499i	−1.51423	−	0.760279i
$669$	−2.42514	−	0.410859i	−0.0937613	−	0.0158847i
$670$	−3.27745	+	1.22015i	−0.126619	+	0.0471385i
$671$	−16.4868	−	9.51867i	−0.636467	−	0.367464i
$672$	−21.9843	+	3.86960i	−0.848064	+	0.149273i
$673$	14.4487	−	8.34194i	0.556955	−	0.321558i	−0.194968	−	0.980810i	$-0.562460\pi$
$673$	14.4487	−	8.34194i	0.556955	−	0.321558i	0.751922	+	0.659252i	$0.229127\pi$
$674$	20.4364	−	24.7206i	0.787180	−	0.952202i
$675$	−23.0361	+	10.0898i	−0.886659	+	0.388355i
$676$	15.3990	+	3.17797i	0.592271	+	0.122230i
$677$	−6.25696	+	5.48720i	−0.240474	+	0.210890i	−0.771097	−	0.636718i	$-0.780292\pi$
$677$	−6.25696	+	5.48720i	−0.240474	+	0.210890i	0.530622	+	0.847608i	$0.321958\pi$
$678$	−6.87092	−	36.0046i	−0.263876	−	1.38275i
$679$	−2.98435	+	22.6684i	−0.114529	+	0.869932i
$680$	1.01223	+	1.10431i	0.0388172	+	0.0423482i
$681$	−18.3567	+	8.22461i	−0.703432	+	0.315168i
$682$	35.7571	−	1.04229i	1.36921	−	0.0399115i
$683$	31.1078	+	20.7856i	1.19031	+	0.795338i	0.983120	−	0.182963i	$-0.0585688\pi$
$683$	31.1078	+	20.7856i	1.19031	+	0.795338i	0.207188	+	0.978301i	$0.433569\pi$
$684$	7.44224	−	20.8521i	0.284561	−	0.797300i
$685$	1.07622	−	5.41055i	0.0411204	−	0.206726i
$686$	27.6653	−	6.34619i	1.05627	−	0.242299i
$687$	−6.68950	−	10.8590i	−0.255220	−	0.414297i
$688$	−31.4720	+	34.8658i	−1.19986	+	1.32925i
$689$	0.921923	+	3.44066i	0.0351225	+	0.131079i
$690$	−1.38876	−	5.34911i	−0.0528693	−	0.203637i
$691$	−11.8343	−	34.8626i	−0.450196	−	1.32624i	−0.901080	−	0.433653i	$-0.857225\pi$
$691$	−11.8343	−	34.8626i	−0.450196	−	1.32624i	0.450884	−	0.892583i	$-0.351109\pi$
$692$	0.00345050	−	0.481383i	0.000131168	−	0.0182994i
$693$	33.4805	+	19.7067i	1.27182	+	0.748595i
$694$	−20.0181	+	5.99417i	−0.759877	+	0.227536i
$695$	1.51447	−	0.199384i	0.0574472	−	0.00756307i
$696$	−27.9535	−	32.8529i	−1.05958	−	1.24529i
$697$	−8.47619	−	1.11591i	−0.321058	−	0.0422681i
$698$	−4.14685	−	25.6896i	−0.156961	−	0.972366i
$699$	17.3993	+	32.8832i	0.658103	+	1.24376i
$700$	−1.60003	+	21.9949i	−0.0604756	+	0.831331i
$701$	19.0077	−	12.7006i	0.717912	−	0.479693i	−0.142175	−	0.989842i	$-0.545410\pi$
$701$	19.0077	−	12.7006i	0.717912	−	0.479693i	0.860086	+	0.510148i	$0.170410\pi$
$702$	13.6985	+	9.47714i	0.517015	+	0.357692i
$703$	17.5907			0.663445
$704$	39.8605	−	21.8845i	1.50230	−	0.824802i
$705$	−1.37042	−	4.58689i	−0.0516128	−	0.172752i
$706$	−3.67169	+	8.02694i	−0.138186	+	0.302098i
$707$	−1.01410	−	15.4722i	−0.0381392	−	0.581892i
$708$	−2.92422	−	13.2189i	−0.109899	−	0.496798i
$709$	8.45645	+	9.64273i	0.317589	+	0.362140i	0.888504	−	0.458868i	$-0.151745\pi$
$709$	8.45645	+	9.64273i	0.317589	+	0.362140i	−0.570916	+	0.821009i	$0.693412\pi$
$710$	−1.65295	+	1.34666i	−0.0620341	+	0.0505391i
$711$	2.66129	−	35.9724i	0.0998062	−	1.34907i
$712$	−4.38402	−	5.46062i	−0.164298	−	0.204645i
$713$	−24.8774	+	3.27518i	−0.931668	+	0.122656i
$714$	7.37447	−	0.425738i	0.275982	−	0.0159329i
$715$	−2.28022	−	4.62384i	−0.0852756	−	0.172922i
$716$	−16.2515	+	27.6881i	−0.607346	+	1.03475i
$717$	4.68326	+	2.14570i	0.174900	+	0.0801328i
$718$	−7.49688	+	11.9602i	−0.279781	+	0.446350i
$719$	−20.2878	+	20.2878i	−0.756607	+	0.756607i	−0.975703	−	0.219097i	$-0.929689\pi$
$719$	−20.2878	+	20.2878i	−0.756607	+	0.756607i	0.219097	+	0.975703i	$0.429689\pi$
$720$	−3.31717	−	3.47152i	−0.123624	−	0.129376i
$721$	−30.5287	−	30.5287i	−1.13695	−	1.13695i
$722$	−7.42058	+	1.70222i	−0.276165	+	0.0633500i
$723$	−9.54920	−	13.4448i	−0.355139	−	0.500016i
$724$	−23.6174	−	31.2399i	−0.877734	−	1.16102i
$725$	−38.2209	+	18.8485i	−1.41949	+	0.700015i
$726$	−51.1130	−	10.5812i	−1.89698	−	0.392705i
$727$	−4.02211	−	30.5509i	−0.149172	−	1.13307i	−0.888220	−	0.459419i	$-0.848058\pi$
$727$	−4.02211	−	30.5509i	−0.149172	−	1.13307i	0.739048	−	0.673653i	$-0.235276\pi$
$728$	12.9553	−	6.74669i	0.480156	−	0.250049i
$729$	−14.4302	−	22.8204i	−0.534450	−	0.845200i
$730$	8.13266	+	0.830437i	0.301003	+	0.0307358i
$731$	11.6857	−	10.2481i	0.432210	−	0.379038i
$732$	11.5583	−	1.00589i	0.427208	−	0.0371787i
$733$	29.5905	−	1.93946i	1.09295	−	0.0716357i	0.491751	−	0.870736i	$-0.336357\pi$
$733$	29.5905	−	1.93946i	1.09295	−	0.0716357i	0.601198	+	0.799100i	$0.294690\pi$
$734$	−15.2198	−	40.8819i	−0.561773	−	1.50898i
$735$	0.911710	+	0.861124i	0.0336289	+	0.0317630i
$736$	−26.2557	+	18.1115i	−0.967799	+	0.667598i
$737$		−	35.1291i		−	1.29400i
$738$	27.2366	+	3.01247i	1.00259	+	0.110890i
$739$	−15.8763	−	23.7605i	−0.584018	−	0.874045i	0.415347	−	0.909663i	$-0.363660\pi$
$739$	−15.8763	−	23.7605i	−0.584018	−	0.874045i	−0.999365	+	0.0356177i	$0.988660\pi$
$740$	1.71176	−	3.40928i	0.0629254	−	0.125327i
$741$	−0.534817	+	14.4779i	−0.0196470	+	0.531858i
$742$	−4.10487	−	2.96383i	−0.150694	−	0.108806i
$743$	−0.0172780	+	0.131240i	−0.000633870	+	0.00481472i	−0.991759	−	0.128118i	$-0.959106\pi$
$743$	−0.0172780	+	0.131240i	−0.000633870	+	0.00481472i	0.991125	+	0.132933i	$0.0424396\pi$
$744$	−17.4923	+	13.0115i	−0.641298	+	0.477025i
$745$	−0.769407	−	5.84422i	−0.0281889	−	0.214116i
$746$	44.5232	+	24.0037i	1.63011	+	0.878838i
$747$	11.7535	+	20.7583i	0.430038	+	0.759506i
$748$	−13.9431	+	5.65868i	−0.509810	+	0.206902i
$749$	−17.9437	+	6.09107i	−0.655649	+	0.222563i
$750$	−8.38943	+	4.75697i	−0.306339	+	0.173700i
$751$	39.8080	−	10.6665i	1.45262	−	0.389227i	0.555683	−	0.831394i	$-0.312457\pi$
$751$	39.8080	−	10.6665i	1.45262	−	0.389227i	0.896933	+	0.442167i	$0.145790\pi$
$752$	−22.1593	+	16.5042i	−0.808066	+	0.601846i
$753$	8.06376	+	4.35380i	0.293860	+	0.158661i
$754$	23.9164	+	14.9913i	0.870982	+	0.545950i
$755$	3.57132	+	0.710381i	0.129974	+	0.0258534i
$756$	−23.6036	+	1.85459i	−0.858455	+	0.0674509i
$757$	27.4857	−	41.1352i	0.998984	−	1.49509i	0.135457	−	0.990783i	$-0.456750\pi$
$757$	27.4857	−	41.1352i	0.998984	−	1.49509i	0.863527	−	0.504303i	$-0.168250\pi$
$758$	−18.2773	+	19.3748i	−0.663860	+	0.703724i
$759$	55.2221	+	5.67310i	2.00443	+	0.205921i
$760$	0.991987	−	4.05667i	0.0359832	−	0.147151i
$761$	12.8561	+	1.69253i	0.466032	+	0.0613543i	0.359886	−	0.932996i	$-0.382816\pi$
$761$	12.8561	+	1.69253i	0.466032	+	0.0613543i	0.106146	+	0.994351i	$0.466149\pi$
$762$	16.3507	+	1.19955i	0.592325	+	0.0434550i
$763$	−1.32160	−	1.50699i	−0.0478451	−	0.0545568i
$764$	52.6812	−	10.0869i	1.90594	−	0.364933i
$765$	0.956644	+	1.26864i	0.0345875	+	0.0458678i
$766$	3.89125	+	41.0150i	0.140597	+	1.48193i
$767$	4.42952	+	7.67216i	0.159941	+	0.277025i
$768$	−12.2607	+	24.8531i	−0.442418	+	0.896809i
$769$	12.9017	−	22.3464i	0.465248	−	0.805833i	−0.533965	−	0.845507i	$-0.679299\pi$
$769$	12.9017	−	22.3464i	0.465248	−	0.805833i	0.999213	+	0.0396737i	$0.0126318\pi$
$770$	6.66390	+	3.04820i	0.240150	+	0.109850i

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:	\( N \)	\(=\)	\( 576 = 2^{6} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	576.bm (of order \(48\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.15248 + 0.819623i) q^{2} +(1.33427 + 1.10441i) q^{3} +(0.656437 - 1.88920i) q^{4} +(0.128618 - 0.378896i) q^{5} +(-2.44292 - 0.179221i) q^{6} +(-1.38692 + 1.80746i) q^{7} +(0.791901 + 2.71531i) q^{8} +(0.560543 + 2.94717i) q^{9} +O(q^{10})\)	\(q+(-1.15248 + 0.819623i) q^{2} +(1.33427 + 1.10441i) q^{3} +(0.656437 - 1.88920i) q^{4} +(0.128618 - 0.378896i) q^{5} +(-2.44292 - 0.179221i) q^{6} +(-1.38692 + 1.80746i) q^{7} +(0.791901 + 2.71531i) q^{8} +(0.560543 + 2.94717i) q^{9} +(0.162322 + 0.542089i) q^{10} +(-5.67195 - 0.371759i) q^{11} +(2.96232 - 1.79573i) q^{12} +(-1.49458 + 1.70424i) q^{13} +(0.116959 - 3.21982i) q^{14} +(0.590068 - 0.363501i) q^{15} +(-3.13818 - 2.48029i) q^{16} +(0.935965 + 0.935965i) q^{17} +(-3.06158 - 2.93713i) q^{18} +(0.719896 - 3.61916i) q^{19} +(-0.631382 - 0.491706i) q^{20} +(-3.84671 + 0.879914i) q^{21} +(6.84153 - 4.22041i) q^{22} +(-4.47337 + 3.43254i) q^{23} +(-1.94221 + 4.49753i) q^{24} +(3.83975 + 2.94634i) q^{25} +(0.325644 - 3.18911i) q^{26} +(-2.50697 + 4.55138i) q^{27} +(2.50424 + 3.80665i) q^{28} +(-3.89440 + 7.89705i) q^{29} +(-0.382110 + 0.902563i) q^{30} +(3.85389 + 2.22504i) q^{31} +(5.64960 + 0.286365i) q^{32} +(-7.15733 - 6.76020i) q^{33} +(-1.84582 - 0.311546i) q^{34} +(0.506459 + 0.757969i) q^{35} +(5.93576 + 0.875649i) q^{36} +(0.930003 + 4.67544i) q^{37} +(2.13668 + 4.76107i) q^{38} +(-3.87636 + 0.623283i) q^{39} +(1.13067 + 0.0491887i) q^{40} +(-5.12418 + 3.93192i) q^{41} +(3.71207 - 4.16693i) q^{42} +(0.767985 - 11.7172i) q^{43} +(-4.42561 + 10.4714i) q^{44} +(1.18876 + 0.166671i) q^{45} +(2.34210 - 7.62243i) q^{46} +(1.78780 - 6.67216i) q^{47} +(-1.44791 - 6.77522i) q^{48} +(0.468343 + 1.74788i) q^{49} +(-6.84013 - 0.248466i) q^{50} +(0.215136 + 2.28252i) q^{51} +(2.23857 + 3.94230i) q^{52} +(0.873034 - 1.30659i) q^{53} +(-0.841169 - 7.30017i) q^{54} +(-0.870372 + 2.10126i) q^{55} +(-6.00612 - 2.33457i) q^{56} +(4.95758 - 4.03387i) q^{57} +(-1.98438 - 12.2932i) q^{58} +(1.25626 - 3.70082i) q^{59} +(-0.299386 - 1.35337i) q^{60} +(3.00382 + 1.48132i) q^{61} +(-6.26524 + 0.594409i) q^{62} +(-6.10432 - 3.07431i) q^{63} +(-6.74578 + 4.30051i) q^{64} +(0.453501 + 0.785487i) q^{65} +(13.7895 + 1.92472i) q^{66} +(0.404206 + 6.16698i) q^{67} +(2.38263 - 1.15383i) q^{68} +(-9.75962 - 0.360523i) q^{69} +(-1.20493 - 0.458442i) q^{70} +(1.44186 + 3.48097i) q^{71} +(-7.55857 + 3.85591i) q^{72} +(5.52850 - 13.3470i) q^{73} +(-4.90391 - 4.62612i) q^{74} +(1.86927 + 8.17188i) q^{75} +(-6.36477 - 3.73578i) q^{76} +(8.53846 - 9.73625i) q^{77} +(3.95659 - 3.89548i) q^{78} +(-11.6139 - 3.11193i) q^{79} +(-1.34340 + 0.870035i) q^{80} +(-8.37158 + 3.30403i) q^{81} +(2.68284 - 8.73137i) q^{82} +(7.52961 - 2.55596i) q^{83} +(-0.862784 + 7.84482i) q^{84} +(0.475015 - 0.234251i) q^{85} +(8.71858 + 14.1333i) q^{86} +(-13.9178 + 6.23577i) q^{87} +(-3.48219 - 15.6955i) q^{88} +(-2.28737 + 0.947461i) q^{89} +(-1.50664 + 0.782254i) q^{90} +(-1.00750 - 5.06505i) q^{91} +(3.54828 + 10.7044i) q^{92} +(2.68475 + 7.22509i) q^{93} +(3.40824 + 9.15487i) q^{94} +(-1.27869 - 0.738254i) q^{95} +(7.22182 + 6.62158i) q^{96} +(8.69119 - 5.01786i) q^{97} +(-1.97236 - 1.63054i) q^{98} +(-2.08374 - 16.9246i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9}+O(q^{10}) \) 1504 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^5 - 16 * q^6 - 8 * q^7 - 32 * q^8 - 16 * q^9	\( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} - 32 q^{10} - 8 q^{11} - 16 q^{12} - 8 q^{13} - 8 q^{14} - 16 q^{15} - 8 q^{16} - 32 q^{17} - 16 q^{18} - 32 q^{19} - 8 q^{20} - 16 q^{21} - 8 q^{22} - 8 q^{23} + 64 q^{24} - 8 q^{25} - 32 q^{26} - 16 q^{27} - 32 q^{28} - 8 q^{29} - 96 q^{30} - 8 q^{32} - 8 q^{34} - 32 q^{35} - 96 q^{36} - 32 q^{37} - 8 q^{38} - 16 q^{39} - 8 q^{40} - 8 q^{41} + 64 q^{42} - 8 q^{43} - 32 q^{44} - 16 q^{45} - 32 q^{46} - 8 q^{47} - 16 q^{48} - 8 q^{49} - 8 q^{50} - 16 q^{51} - 8 q^{52} - 32 q^{53} - 16 q^{54} - 32 q^{55} - 8 q^{56} - 16 q^{57} - 80 q^{58} - 8 q^{59} - 16 q^{60} - 8 q^{61} - 64 q^{62} - 32 q^{63} - 32 q^{64} - 16 q^{65} - 32 q^{66} - 8 q^{67} - 8 q^{68} - 16 q^{69} - 8 q^{70} - 32 q^{71} - 16 q^{72} - 32 q^{73} - 8 q^{74} - 16 q^{75} + 40 q^{76} - 8 q^{77} - 40 q^{78} - 8 q^{79} - 160 q^{80} - 16 q^{81} - 32 q^{82} - 8 q^{83} - 128 q^{84} - 8 q^{85} - 216 q^{86} - 16 q^{87} - 8 q^{88} - 32 q^{89} - 160 q^{90} - 32 q^{91} + 144 q^{92} - 40 q^{93} - 8 q^{94} - 152 q^{96} - 304 q^{98} - 16 q^{99}+O(q^{100}) \) 1504 * q - 8 * q^2 - 16 * q^3 - 8 * q^4 - 8 * q^5 - 16 * q^6 - 8 * q^7 - 32 * q^8 - 16 * q^9 - 32 * q^10 - 8 * q^11 - 16 * q^12 - 8 * q^13 - 8 * q^14 - 16 * q^15 - 8 * q^16 - 32 * q^17 - 16 * q^18 - 32 * q^19 - 8 * q^20 - 16 * q^21 - 8 * q^22 - 8 * q^23 + 64 * q^24 - 8 * q^25 - 32 * q^26 - 16 * q^27 - 32 * q^28 - 8 * q^29 - 96 * q^30 - 8 * q^32 - 8 * q^34 - 32 * q^35 - 96 * q^36 - 32 * q^37 - 8 * q^38 - 16 * q^39 - 8 * q^40 - 8 * q^41 + 64 * q^42 - 8 * q^43 - 32 * q^44 - 16 * q^45 - 32 * q^46 - 8 * q^47 - 16 * q^48 - 8 * q^49 - 8 * q^50 - 16 * q^51 - 8 * q^52 - 32 * q^53 - 16 * q^54 - 32 * q^55 - 8 * q^56 - 16 * q^57 - 80 * q^58 - 8 * q^59 - 16 * q^60 - 8 * q^61 - 64 * q^62 - 32 * q^63 - 32 * q^64 - 16 * q^65 - 32 * q^66 - 8 * q^67 - 8 * q^68 - 16 * q^69 - 8 * q^70 - 32 * q^71 - 16 * q^72 - 32 * q^73 - 8 * q^74 - 16 * q^75 + 40 * q^76 - 8 * q^77 - 40 * q^78 - 8 * q^79 - 160 * q^80 - 16 * q^81 - 32 * q^82 - 8 * q^83 - 128 * q^84 - 8 * q^85 - 216 * q^86 - 16 * q^87 - 8 * q^88 - 32 * q^89 - 160 * q^90 - 32 * q^91 + 144 * q^92 - 40 * q^93 - 8 * q^94 - 152 * q^96 - 304 * q^98 - 16 * q^99

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