LMFDB - Embedded newform 605.2.s.b.16.18

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			16.18
Character	$\chi$	$=$	605.16
Dual form			605.2.s.b.416.18

$q$-expansion

$f(q)$	$=$	$q+(2.04825 + 0.235014i) q^{2} +(1.13699 + 0.826074i) q^{3} +(2.19205 + 0.509740i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(2.13470 + 1.95921i) q^{6} +(3.19973 + 3.29244i) q^{7} +(0.486498 + 0.173582i) q^{8} +(-0.316695 - 0.974688i) q^{9} +O(q^{10})$	\(q+(2.04825 + 0.235014i) q^{2} +(1.13699 + 0.826074i) q^{3} +(2.19205 + 0.509740i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(2.13470 + 1.95921i) q^{6} +(3.19973 + 3.29244i) q^{7} +(0.486498 + 0.173582i) q^{8} +(-0.316695 - 0.974688i) q^{9} +(-1.35012 + 1.55812i) q^{10} +(-1.40507 - 3.00430i) q^{11} +(2.07127 + 2.39037i) q^{12} +(-3.49573 + 5.79701i) q^{13} +(5.78005 + 7.49571i) q^{14} +(-1.32367 + 0.472284i) q^{15} +(-3.08359 - 1.51610i) q^{16} +(2.89622 - 2.36822i) q^{17} +(-0.419604 - 2.07083i) q^{18} +(2.45571 + 0.140422i) q^{19} +(-1.65807 + 1.52176i) q^{20} +(0.918268 + 6.38669i) q^{21} +(-2.17187 - 6.48375i) q^{22} +(1.22551 - 8.52363i) q^{23} +(0.409753 + 0.599245i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-8.52249 + 11.0522i) q^{26} +(1.74796 - 5.37968i) q^{27} +(5.33568 + 8.84824i) q^{28} +(0.459460 - 1.18011i) q^{29} +(-2.82219 + 0.656273i) q^{30} +(6.48495 + 2.74056i) q^{31} +(-6.82873 - 4.38856i) q^{32} +(0.884220 - 4.57655i) q^{33} +(6.48873 - 4.17005i) q^{34} +(-4.52388 + 0.782888i) q^{35} +(-0.197376 - 2.29800i) q^{36} +(0.343037 - 3.99391i) q^{37} +(4.99689 + 0.864746i) q^{38} +(-8.76338 + 3.70343i) q^{39} +(-0.417888 + 0.303613i) q^{40} +(-10.3687 + 5.85550i) q^{41} +(0.379874 + 13.2973i) q^{42} +(-0.574218 + 0.168606i) q^{43} +(-1.54857 - 7.30180i) q^{44} +(0.983335 + 0.288733i) q^{45} +(4.51332 - 17.1705i) q^{46} +(-0.685099 + 3.38110i) q^{47} +(-2.25361 - 4.27107i) q^{48} +(-0.402024 + 14.0727i) q^{49} +(-0.524118 - 1.99395i) q^{50} +(5.24931 - 0.300166i) q^{51} +(-10.6178 + 10.9255i) q^{52} +(6.30332 - 3.09913i) q^{53} +(4.84456 - 10.6081i) q^{54} +(3.27304 + 0.535912i) q^{55} +(0.985151 + 2.15718i) q^{56} +(2.67612 + 2.18826i) q^{57} +(1.21843 - 2.30918i) q^{58} +(2.89785 + 1.63649i) q^{59} +(-3.14230 + 0.360545i) q^{60} +(-3.74864 + 0.430117i) q^{61} +(12.6387 + 7.13740i) q^{62} +(2.19576 - 4.16144i) q^{63} +(-7.63541 - 6.24344i) q^{64} +(-2.81213 - 6.15771i) q^{65} +(2.88666 - 9.16610i) q^{66} +(-2.60973 + 5.71450i) q^{67} +(7.55584 - 3.71496i) q^{68} +(8.43455 - 8.67894i) q^{69} +(-9.45001 + 0.540371i) q^{70} +(-2.30565 - 8.77160i) q^{71} +(0.0151168 - 0.529157i) q^{72} +(2.88091 + 5.45993i) q^{73} +(1.64125 - 8.09989i) q^{74} +(0.357279 - 1.35923i) q^{75} +(5.31147 + 1.55959i) q^{76} +(5.39564 - 14.2390i) q^{77} +(-18.8199 + 5.52602i) q^{78} +(-0.137885 - 4.82662i) q^{79} +(2.99201 - 1.68967i) q^{80} +(3.94407 - 2.86554i) q^{81} +(-22.6139 + 9.55670i) q^{82} +(-8.20460 - 1.41986i) q^{83} +(-1.24266 + 14.4681i) q^{84} +(0.320153 + 3.72747i) q^{85} +(-1.21576 + 0.210396i) q^{86} +(1.49726 - 0.962232i) q^{87} +(-0.162069 - 1.70548i) q^{88} +(-1.01469 - 0.652099i) q^{89} +(1.94625 + 0.822494i) q^{90} +(-30.2717 + 7.03938i) q^{91} +(7.03123 - 18.0596i) q^{92} +(5.10944 + 8.47305i) q^{93} +(-2.19786 + 6.76431i) q^{94} +(-1.50202 + 1.94786i) q^{95} +(-4.13894 - 10.6308i) q^{96} +(-3.18774 - 4.66192i) q^{97} +(-4.13072 + 28.7298i) q^{98} +(-2.48327 + 2.32095i) 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 $

$2$	2.04825	+	0.235014i	1.44833	+	0.166180i	0.802203	−	0.597051i	$-0.203661\pi$
$2$	2.04825	+	0.235014i	1.44833	+	0.166180i	0.646125	+	0.763231i	$0.276388\pi$
$3$	1.13699	+	0.826074i	0.656443	+	0.476934i	0.865460	−	0.500978i	$-0.167026\pi$
$3$	1.13699	+	0.826074i	0.656443	+	0.476934i	−0.209017	+	0.977912i	$0.567026\pi$
$4$	2.19205	+	0.509740i	1.09603	+	0.254870i
$5$	−0.564443	+	0.825472i	−0.252427	+	0.369162i
$5$	−0.564443	+	0.825472i	−0.252427	+	0.369162i
$6$	2.13470	+	1.95921i	0.871489	+	0.799845i
$7$	3.19973	+	3.29244i	1.20938	+	1.24443i	0.961243	+	0.275701i	$0.0889099\pi$
$7$	3.19973	+	3.29244i	1.20938	+	1.24443i	0.248139	+	0.968724i	$0.420181\pi$
$8$	0.486498	+	0.173582i	0.172003	+	0.0613705i
$9$	−0.316695	−	0.974688i	−0.105565	−	0.324896i
$10$	−1.35012	+	1.55812i	−0.426944	+	0.492720i
$11$	−1.40507	−	3.00430i	−0.423643	−	0.905829i
$11$	−1.40507	−	3.00430i	−0.423643	−	0.905829i
$12$	2.07127	+	2.39037i	0.597923	+	0.690040i
$13$	−3.49573	+	5.79701i	−0.969540	+	1.60780i	−0.189682	+	0.981846i	$0.560746\pi$
$13$	−3.49573	+	5.79701i	−0.969540	+	1.60780i	−0.779858	+	0.625956i	$0.784709\pi$
$14$	5.78005	+	7.49571i	1.54478	+	2.00331i
$15$	−1.32367	+	0.472284i	−0.341770	+	0.121943i
$16$	−3.08359	−	1.51610i	−0.770898	−	0.379025i
$17$	2.89622	−	2.36822i	0.702436	−	0.574379i	−0.212898	−	0.977074i	$-0.568290\pi$
$17$	2.89622	−	2.36822i	0.702436	−	0.574379i	0.915334	+	0.402696i	$0.131927\pi$
$18$	−0.419604	−	2.07083i	−0.0989017	−	0.488099i
$19$	2.45571	+	0.140422i	0.563378	+	0.0322151i	0.336458	−	0.941698i	$-0.390771\pi$
$19$	2.45571	+	0.140422i	0.563378	+	0.0322151i	0.226920	+	0.973913i	$0.427135\pi$
$20$	−1.65807	+	1.52176i	−0.370755	+	0.340276i
$21$	0.918268	+	6.38669i	0.200382	+	1.39369i
$22$	−2.17187	−	6.48375i	−0.463044	−	1.38234i
$23$	1.22551	−	8.52363i	0.255537	−	1.77730i	−0.308177	−	0.951329i	$-0.599719\pi$
$23$	1.22551	−	8.52363i	0.255537	−	1.77730i	0.563714	−	0.825970i	$-0.309372\pi$
$24$	0.409753	+	0.599245i	0.0836405	+	0.122320i
$25$	−0.362808	−	0.931864i	−0.0725615	−	0.186373i
$26$	−8.52249	+	11.0522i	−1.67140	+	2.16751i
$27$	1.74796	−	5.37968i	0.336396	−	1.03532i
$28$	5.33568	+	8.84824i	1.00835	+	1.67216i
$29$	0.459460	−	1.18011i	0.0853195	−	0.219141i	−0.882740	−	0.469862i	$-0.844304\pi$
$29$	0.459460	−	1.18011i	0.0853195	−	0.219141i	0.968060	+	0.250720i	$0.0806674\pi$
$30$	−2.82219	+	0.656273i	−0.515260	+	0.119818i
$31$	6.48495	+	2.74056i	1.16473	+	0.492220i	0.883963	−	0.467556i	$-0.154865\pi$
$31$	6.48495	+	2.74056i	1.16473	+	0.492220i	0.280768	+	0.959776i	$0.409411\pi$
$32$	−6.82873	−	4.38856i	−1.20716	−	0.775794i
$33$	0.884220	−	4.57655i	0.153923	−	0.796675i
$34$	6.48873	−	4.17005i	1.11281	−	0.715158i
$35$	−4.52388	+	0.782888i	−0.764675	+	0.132332i
$36$	−0.197376	−	2.29800i	−0.0328959	−	0.383000i
$37$	0.343037	−	3.99391i	0.0563950	−	0.656595i	−0.912493	−	0.409093i	$-0.865845\pi$
$37$	0.343037	−	3.99391i	0.0563950	−	0.656595i	0.968888	−	0.247501i	$-0.0796095\pi$
$38$	4.99689	+	0.864746i	0.810603	+	0.140280i
$39$	−8.76338	+	3.70343i	−1.40326	+	0.593024i
$40$	−0.417888	+	0.303613i	−0.0660738	+	0.0480054i
$41$	−10.3687	+	5.85550i	−1.61933	+	0.914475i	−0.628734	+	0.777620i	$0.716427\pi$
$41$	−10.3687	+	5.85550i	−1.61933	+	0.914475i	−0.990591	+	0.136855i	$0.956301\pi$
$42$	0.379874	+	13.2973i	0.0586158	+	2.05182i
$43$	−0.574218	+	0.168606i	−0.0875674	+	0.0257121i	−0.325223	−	0.945637i	$-0.605439\pi$
$43$	−0.574218	+	0.168606i	−0.0875674	+	0.0257121i	0.237655	+	0.971350i	$0.423621\pi$
$44$	−1.54857	−	7.30180i	−0.233456	−	1.10079i
$45$	0.983335	+	0.288733i	0.146587	+	0.0430418i
$46$	4.51332	−	17.1705i	0.665453	−	2.53165i
$47$	−0.685099	+	3.38110i	−0.0999320	+	0.493184i	0.898588	+	0.438794i	$0.144594\pi$
$47$	−0.685099	+	3.38110i	−0.0999320	+	0.493184i	−0.998520	+	0.0543900i	$0.982679\pi$
$48$	−2.25361	−	4.27107i	−0.325281	−	0.616476i
$49$	−0.402024	+	14.0727i	−0.0574319	+	2.01038i
$50$	−0.524118	−	1.99395i	−0.0741215	−	0.281987i
$51$	5.24931	−	0.300166i	0.735050	−	0.0420317i
$52$	−10.6178	+	10.9255i	−1.47242	+	1.51509i
$53$	6.30332	−	3.09913i	0.865827	−	0.425699i	0.0464280	−	0.998922i	$-0.485216\pi$
$53$	6.30332	−	3.09913i	0.865827	−	0.425699i	0.819399	+	0.573223i	$0.194307\pi$
$54$	4.84456	−	10.6081i	0.659261	−	1.44358i
$55$	3.27304	+	0.535912i	0.441337	+	0.0722624i
$56$	0.985151	+	2.15718i	0.131646	+	0.288265i
$57$	2.67612	+	2.18826i	0.354461	+	0.289842i
$58$	1.21843	−	2.30918i	0.159988	−	0.303210i
$59$	2.89785	+	1.63649i	0.377268	+	0.213053i	0.668690	−	0.743542i	$-0.266855\pi$
$59$	2.89785	+	1.63649i	0.377268	+	0.213053i	−0.291422	+	0.956595i	$0.594128\pi$
$60$	−3.14230	+	0.360545i	−0.405669	+	0.0465462i
$61$	−3.74864	+	0.430117i	−0.479965	+	0.0550708i	−0.350598	−	0.936526i	$-0.614022\pi$
$61$	−3.74864	+	0.430117i	−0.479965	+	0.0550708i	−0.129367	+	0.991597i	$0.541294\pi$
$62$	12.6387	+	7.13740i	1.60512	+	0.906451i
$63$	2.19576	−	4.16144i	0.276640	−	0.524292i
$64$	−7.63541	−	6.24344i	−0.954426	−	0.780430i
$65$	−2.81213	−	6.15771i	−0.348802	−	0.763770i
$66$	2.88666	−	9.16610i	0.355323	−	1.12827i
$67$	−2.60973	+	5.71450i	−0.318829	+	0.698138i	−0.999403	−	0.0345412i	$-0.989003\pi$
$67$	−2.60973	+	5.71450i	−0.318829	+	0.698138i	0.680574	+	0.732679i	$0.261730\pi$
$68$	7.55584	−	3.71496i	0.916280	−	0.450505i
$69$	8.43455	−	8.67894i	1.01540	−	1.04482i
$70$	−9.45001	+	0.540371i	−1.12949	+	0.0645867i
$71$	−2.30565	−	8.77160i	−0.273630	−	1.04100i	−0.951956	−	0.306236i	$-0.900930\pi$
$71$	−2.30565	−	8.77160i	−0.273630	−	1.04100i	0.678326	−	0.734761i	$-0.262706\pi$
$72$	0.0151168	−	0.529157i	0.00178153	−	0.0623617i
$73$	2.88091	+	5.45993i	0.337185	+	0.639036i	0.993292	−	0.115631i	$-0.0368892\pi$
$73$	2.88091	+	5.45993i	0.337185	+	0.639036i	−0.656108	+	0.754667i	$0.727798\pi$
$74$	1.64125	−	8.09989i	0.190791	−	0.941593i
$75$	0.357279	−	1.35923i	0.0412550	−	0.156950i
$76$	5.31147	+	1.55959i	0.609267	+	0.178897i
$77$	5.39564	−	14.2390i	0.614890	−	1.62269i
$78$	−18.8199	+	5.52602i	−2.13094	+	0.625699i
$79$	−0.137885	−	4.82662i	−0.0155133	−	0.543037i	−0.969766	−	0.244036i	$-0.921528\pi$
$79$	−0.137885	−	4.82662i	−0.0155133	−	0.543037i	0.954253	−	0.299001i	$-0.0966533\pi$
$80$	2.99201	−	1.68967i	0.334517	−	0.188910i
$81$	3.94407	−	2.86554i	0.438230	−	0.318393i
$82$	−22.6139	+	9.55670i	−2.49728	+	1.05536i
$83$	−8.20460	−	1.41986i	−0.900572	−	0.155850i	−0.298611	−	0.954375i	$-0.596523\pi$
$83$	−8.20460	−	1.41986i	−0.900572	−	0.155850i	−0.601962	+	0.798525i	$0.705614\pi$
$84$	−1.24266	+	14.4681i	−0.135586	+	1.57859i
$85$	0.320153	+	3.72747i	0.0347255	+	0.404301i
$86$	−1.21576	+	0.210396i	−0.131099	+	0.0226876i
$87$	1.49726	−	0.962232i	0.160523	−	0.103162i
$88$	−0.162069	−	1.70548i	−0.0172767	−	0.181805i
$89$	−1.01469	−	0.652099i	−0.107557	−	0.0691224i	0.485757	−	0.874094i	$-0.338544\pi$
$89$	−1.01469	−	0.652099i	−0.107557	−	0.0691224i	−0.593313	+	0.804972i	$0.702180\pi$
$90$	1.94625	+	0.822494i	0.205153	+	0.0866985i
$91$	−30.2717	+	7.03938i	−3.17333	+	0.737927i
$92$	7.03123	−	18.0596i	0.733056	−	1.88284i
$93$	5.10944	+	8.47305i	0.529824	+	0.878614i
$94$	−2.19786	+	6.76431i	−0.226692	+	0.697685i
$95$	−1.50202	+	1.94786i	−0.154104	+	0.199846i
$96$	−4.13894	−	10.6308i	−0.422429	−	1.08500i
$97$	−3.18774	−	4.66192i	−0.323666	−	0.473346i	0.628983	−	0.777419i	$-0.283472\pi$
$97$	−3.18774	−	4.66192i	−0.323666	−	0.473346i	−0.952649	+	0.304073i	$0.901653\pi$
$98$	−4.13072	+	28.7298i	−0.417266	+	2.90215i
$99$	−2.48327	+	2.32095i	−0.249578	+	0.233264i
$100$	−0.320285	−	2.22763i	−0.0320285	−	0.222763i
$101$	−3.71105	+	3.40597i	−0.369263	+	0.338907i	−0.839229	−	0.543778i	$-0.816993\pi$
$101$	−3.71105	+	3.40597i	−0.369263	+	0.338907i	0.469966	+	0.882685i	$0.344266\pi$
$102$	10.8224	+	0.618848i	1.07158	+	0.0612751i
$103$	−2.34051	−	11.5509i	−0.230617	−	1.13814i	−0.913257	−	0.407385i	$-0.866441\pi$
$103$	−2.34051	−	11.5509i	−0.230617	−	1.13814i	0.682639	−	0.730755i	$-0.260832\pi$
$104$	−2.70692	+	2.21344i	−0.265435	+	0.217045i
$105$	−5.79034	−	2.84692i	−0.565080	−	0.277831i
$106$	13.6391	−	4.86642i	1.32475	−	0.472668i
$107$	−6.93334	−	8.99132i	−0.670272	−	0.869224i	0.326847	−	0.945077i	$-0.394014\pi$
$107$	−6.93334	−	8.99132i	−0.670272	−	0.869224i	−0.997119	+	0.0758533i	$0.975832\pi$
$108$	6.57387	−	10.9015i	0.632571	−	1.04900i
$109$	5.82850	+	6.72645i	0.558269	+	0.644277i	0.962790	−	0.270252i	$-0.0871070\pi$
$109$	5.82850	+	6.72645i	0.558269	+	0.644277i	−0.404520	+	0.914529i	$0.632562\pi$
$110$	6.57804	+	1.86689i	0.627192	+	0.178001i
$111$	3.68930	−	4.25767i	0.350172	−	0.404121i
$112$	−4.87498	−	15.0036i	−0.460642	−	1.41771i
$113$	−5.67295	−	2.02410i	−0.533666	−	0.190412i	0.0554481	−	0.998462i	$-0.482341\pi$
$113$	−5.67295	−	2.02410i	−0.533666	−	0.190412i	−0.589114	+	0.808050i	$0.700523\pi$
$114$	4.96709	+	5.11101i	0.465210	+	0.478690i
$115$	6.34428	+	5.82273i	0.591607	+	0.542972i
$116$	1.60871	−	2.35267i	0.149365	−	0.218439i
$117$	6.75736	+	1.57136i	0.624718	+	0.145272i
$118$	5.55091	+	4.03297i	0.511003	+	0.371265i
$119$	17.0643	+	1.95795i	1.56428	+	0.179485i
$120$	−0.725942			−0.0662692
$121$	−7.05158	+	8.44246i	−0.641053	+	0.767497i
$122$	−7.77923			−0.704298
$123$	−16.6263	−	1.90769i	−1.49914	−	0.172010i
$124$	12.8184	+	9.31310i	1.15112	+	0.836341i
$125$	0.974012	+	0.226497i	0.0871183	+	0.0202585i
$126$	5.47546	−	8.00761i	0.487793	−	0.713374i
$127$	−0.225968	−	0.207392i	−0.0200514	−	0.0184030i	0.666087	−	0.745874i	$-0.267968\pi$
$127$	−0.225968	−	0.207392i	−0.0200514	−	0.0184030i	−0.686138	+	0.727471i	$0.740695\pi$
$128$	−2.85736	−	2.94015i	−0.252557	−	0.259875i
$129$	−0.792163	−	0.282643i	−0.0697460	−	0.0248853i
$130$	−4.31279	−	13.2734i	−0.378256	−	1.16415i
$131$	−6.26342	+	7.22837i	−0.547237	+	0.631546i	−0.960237	−	0.279185i	$-0.909936\pi$
$131$	−6.26342	+	7.22837i	−0.547237	+	0.631546i	0.413000	+	0.910731i	$0.364481\pi$
$132$	4.27111	−	9.58133i	0.371753	−	0.833947i
$133$	7.39526	+	8.53458i	0.641250	+	0.740042i
$134$	−6.68835	+	11.0914i	−0.577785	+	0.958150i
$135$	3.45415	+	4.47942i	0.297285	+	0.385527i
$136$	1.82008	−	0.649405i	0.156071	−	0.0556860i
$137$	12.1897	+	5.99329i	1.04144	+	0.512042i	0.880066	−	0.474852i	$-0.157498\pi$
$137$	12.1897	+	5.99329i	1.04144	+	0.512042i	0.161374	+	0.986893i	$0.448407\pi$
$138$	19.3157	−	15.7944i	1.64426	−	1.34451i
$139$	0.888132	+	4.38310i	0.0753304	+	0.371770i	0.999959	−	0.00910092i	$-0.00289695\pi$
$139$	0.888132	+	4.38310i	0.0753304	+	0.371770i	−0.924628	+	0.380871i	$0.875624\pi$
$140$	−10.3157	−	0.589871i	−0.871832	−	0.0498532i
$141$	−3.57199	+	3.27834i	−0.300816	+	0.276086i
$142$	−2.66108	−	18.5082i	−0.223313	−	1.55318i
$143$	22.3277	+	2.35701i	1.86713	+	0.197103i
$144$	−0.501166	+	3.48568i	−0.0417638	+	0.290474i
$145$	0.714811	+	1.04538i	0.0593618	+	0.0868139i
$146$	4.61764	+	11.8603i	0.382159	+	0.981567i
$147$	−12.0822	+	15.6684i	−0.996520	+	1.29231i
$148$	2.78781	−	8.58001i	0.229157	−	0.705272i
$149$	4.76382	+	7.89990i	0.390267	+	0.647185i	0.987990	−	0.154518i	$-0.0493823\pi$
$149$	4.76382	+	7.89990i	0.390267	+	0.647185i	−0.597723	+	0.801703i	$0.703928\pi$
$150$	1.05123	−	2.70007i	0.0858328	−	0.220460i
$151$	1.08682	−	0.252728i	0.0884438	−	0.0205667i	−0.182041	−	0.983291i	$-0.558270\pi$
$151$	1.08682	−	0.252728i	0.0884438	−	0.0205667i	0.270485	+	0.962724i	$0.412816\pi$
$152$	1.17032	+	0.494582i	0.0949256	+	0.0401159i
$153$	−3.22550	−	2.07290i	−0.260766	−	0.167584i
$154$	14.3980	−	27.8969i	1.16022	−	2.24800i
$155$	−5.92264	+	3.80625i	−0.475718	+	0.305725i
$156$	−21.0976	+	3.65108i	−1.68916	+	0.292320i
$157$	0.270963	+	3.15476i	0.0216252	+	0.251777i	0.999159	+	0.0409996i	$0.0130542\pi$
$157$	0.270963	+	3.15476i	0.0216252	+	0.251777i	−0.977534	+	0.210778i	$0.932400\pi$
$158$	0.851901	−	9.91850i	0.0677736	−	0.789074i
$159$	9.72694	+	1.68331i	0.771397	+	0.133495i
$160$	7.47706	−	3.15983i	0.591113	−	0.249807i
$161$	31.9848	−	23.2383i	2.52076	−	1.83144i
$162$	8.75187	−	4.94241i	0.687612	−	0.388312i
$163$	0.0161823	+	0.566453i	0.00126749	+	0.0443680i	0.999980	−	0.00636501i	$-0.00202606\pi$
$163$	0.0161823	+	0.566453i	0.00126749	+	0.0443680i	−0.998712	+	0.0507330i	$0.983844\pi$
$164$	−25.7136	+	7.55020i	−2.00790	+	0.589572i
$165$	3.27872	+	3.31310i	0.255248	+	0.257925i
$166$	−16.4714	−	4.83643i	−1.27843	−	0.375379i
$167$	−4.35992	+	16.5869i	−0.337381	+	1.28353i	0.554850	+	0.831950i	$0.312776\pi$
$167$	−4.35992	+	16.5869i	−0.337381	+	1.28353i	−0.892231	+	0.451579i	$0.850861\pi$
$168$	−0.661880	+	3.26651i	−0.0510652	+	0.252016i
$169$	−15.3186	−	29.0319i	−1.17835	−	2.23322i
$170$	−0.220258	+	7.71002i	−0.0168930	+	0.591332i
$171$	−0.640843	−	2.43802i	−0.0490065	−	0.186440i
$172$	−1.34466	+	0.0768905i	−0.102530	+	0.00586285i
$173$	−4.70346	+	4.83974i	−0.357597	+	0.367959i	−0.871929	−	0.489633i	$-0.837131\pi$
$173$	−4.70346	+	4.83974i	−0.357597	+	0.367959i	0.514332	+	0.857591i	$0.328040\pi$
$174$	3.29290	−	1.61901i	0.249634	−	0.122737i
$175$	1.90722	−	4.17623i	0.144172	−	0.315693i
$176$	−0.222164	+	11.3942i	−0.0167462	+	0.858873i
$177$	1.94297	+	4.25452i	0.146043	+	0.319789i
$178$	−1.92507	−	1.57413i	−0.144290	−	0.117986i
$179$	−11.8248	+	22.4105i	−0.883827	+	1.67504i	−0.157688	+	0.987489i	$0.550404\pi$
$179$	−11.8248	+	22.4105i	−0.883827	+	1.67504i	−0.726138	+	0.687549i	$0.758687\pi$
$180$	2.00834	+	1.13416i	0.149693	+	0.0845356i
$181$	−22.6163	+	2.59498i	−1.68106	+	0.192883i	−0.901299	−	0.433198i	$-0.857385\pi$
$181$	−22.6163	+	2.59498i	−1.68106	+	0.192883i	−0.779758	+	0.626081i	$0.784658\pi$
$182$	−63.6582	+	7.30410i	−4.71866	+	0.541416i
$183$	−4.61749	−	2.60762i	−0.341335	−	0.192761i
$184$	2.07576	−	3.93400i	0.153027	−	0.290018i
$185$	3.10324	+	2.53750i	0.228154	+	0.186561i
$186$	8.47409	+	18.5557i	0.621351	+	1.36057i
$187$	−11.1842	−	5.37358i	−0.817871	−	0.392955i
$188$	−3.22526	+	7.06233i	−0.235226	+	0.515073i
$189$	23.3053	−	11.4584i	1.69521	−	0.833478i
$190$	−3.53429	+	3.63669i	−0.256404	+	0.263833i
$191$	−12.4494	+	0.711880i	−0.900804	+	0.0515099i	−0.501351	−	0.865244i	$-0.667164\pi$
$191$	−12.4494	+	0.711880i	−0.900804	+	0.0515099i	−0.399453	+	0.916754i	$0.630800\pi$
$192$	−3.52386	−	13.4062i	−0.254313	−	0.967506i
$193$	−0.142791	+	4.99835i	−0.0102784	+	0.359789i	0.978132	+	0.207984i	$0.0666903\pi$
$193$	−0.142791	+	4.99835i	−0.0102784	+	0.359789i	−0.988410	+	0.151805i	$0.951491\pi$
$194$	−5.43366	−	10.2979i	−0.390114	−	0.739348i
$195$	1.88935	−	9.32430i	0.135299	−	0.667727i
$196$	−8.05466	+	30.6431i	−0.575333	+	2.18879i
$197$	2.33923	+	0.686858i	0.166663	+	0.0489366i	0.363999	−	0.931399i	$-0.381411\pi$
$197$	2.33923	+	0.686858i	0.166663	+	0.0489366i	−0.197337	+	0.980336i	$0.563229\pi$
$198$	−5.63181	+	4.17027i	−0.400235	+	0.296368i
$199$	20.2424	−	5.94369i	1.43494	−	0.421337i	0.530410	−	0.847741i	$-0.322038\pi$
$199$	20.2424	−	5.94369i	1.43494	−	0.421337i	0.904533	+	0.426404i	$0.140220\pi$
$200$	−0.0147503	−	0.516327i	−0.00104300	−	0.0365098i
$201$	−7.68784	+	4.34152i	−0.542259	+	0.306228i
$202$	−8.40159	+	6.10412i	−0.591134	+	0.429484i
$203$	5.35559	−	2.26329i	0.375889	−	0.158852i
$204$	11.6598	+	2.01780i	0.816347	+	0.141274i
$205$	1.01902	−	11.8642i	0.0711712	−	0.828632i
$206$	−2.07932	−	24.2091i	−0.144873	−	1.68672i
$207$	−8.69599	+	1.50490i	−0.604413	+	0.104598i
$208$	19.5682	−	12.5757i	1.35681	−	0.871971i
$209$	−3.02856	−	7.57497i	−0.209490	−	0.523972i
$210$	−11.1910	−	7.19201i	−0.772251	−	0.496296i
$211$	18.8913	+	7.98353i	1.30053	+	0.549609i	0.925971	−	0.377594i	$-0.123249\pi$
$211$	18.8913	+	7.98353i	1.30053	+	0.549609i	0.374559	+	0.927203i	$0.377794\pi$
$212$	15.3970	−	3.58041i	1.05747	−	0.245904i
$213$	4.62448	−	11.8779i	0.316864	−	0.813859i
$214$	−12.0881	−	20.0459i	−0.826326	−	1.37031i
$215$	0.184934	−	0.569169i	0.0126124	−	0.0388170i
$216$	1.78420	−	2.31379i	0.121399	−	0.157433i
$217$	11.7269	+	30.1204i	0.796075	+	2.04470i
$218$	10.3574	+	15.1472i	0.701491	+	1.02590i
$219$	−1.23473	+	8.58774i	−0.0834354	+	0.580306i
$220$	6.90151	+	2.84315i	0.465300	+	0.191685i
$221$	3.60424	+	25.0681i	0.242448	+	1.68626i
$222$	8.55720	−	7.85373i	0.574322	−	0.527108i
$223$	16.1031	+	0.920810i	1.07835	+	0.0616620i	0.587220	−	0.809427i	$-0.300222\pi$
$223$	16.1031	+	0.920810i	1.07835	+	0.0616620i	0.491125	+	0.871089i	$0.336586\pi$
$224$	−7.40099	−	36.5253i	−0.494500	−	2.44045i
$225$	−0.793378	+	0.648742i	−0.0528918	+	0.0432494i
$226$	−11.1439	−	5.47908i	−0.741281	−	0.364463i
$227$	4.84180	−	1.72755i	0.321361	−	0.114661i	−0.170442	−	0.985368i	$-0.554520\pi$
$227$	4.84180	−	1.72755i	0.321361	−	0.114661i	0.491804	+	0.870706i	$0.336338\pi$
$228$	4.75077	+	6.16090i	0.314627	+	0.408016i
$229$	−4.43628	+	7.35674i	−0.293158	+	0.486147i	−0.967705	−	0.252084i	$-0.918884\pi$
$229$	−4.43628	+	7.35674i	−0.293158	+	0.486147i	0.674548	+	0.738231i	$0.264339\pi$
$230$	11.6262	+	13.4174i	0.766610	+	0.884716i
$231$	17.8973	−	11.7325i	1.17755	−	0.771940i
$232$	0.428372	−	0.494368i	0.0281240	−	0.0324569i
$233$	−2.68967	−	8.27796i	−0.176206	−	0.542307i	0.823480	−	0.567345i	$-0.192029\pi$
$233$	−2.68967	−	8.27796i	−0.176206	−	0.542307i	−0.999687	+	0.0250377i	$0.992029\pi$
$234$	13.4714	+	4.80660i	0.880656	+	0.314217i
$235$	−2.40430	−	2.47397i	−0.156839	−	0.161384i
$236$	5.51806	+	5.06443i	0.359195	+	0.329666i
$237$	3.83037	−	5.60174i	0.248809	−	0.363872i
$238$	34.4918	+	8.02072i	2.23577	+	0.519906i
$239$	20.9250	+	15.2029i	1.35353	+	0.983395i	0.998827	+	0.0484147i	$0.0154169\pi$
$239$	20.9250	+	15.2029i	1.35353	+	0.983395i	0.354700	+	0.934980i	$0.384583\pi$
$240$	4.79769	+	0.550483i	0.309689	+	0.0355335i
$241$	−6.20214			−0.399515			−0.199758	−	0.979845i	$-0.564015\pi$
$241$	−6.20214			−0.399515			−0.199758	+	0.979845i	$0.564015\pi$
$242$	−16.4275	+	15.6350i	−1.05600	+	1.00506i
$243$	−10.1180			−0.649073
$244$	−8.43648	−	0.967996i	−0.540090	−	0.0619696i
$245$	−11.3897	−	8.27508i	−0.727659	−	0.528675i
$246$	−33.6063	−	7.81482i	−2.14266	−	0.498255i
$247$	−9.39851	+	13.7449i	−0.598013	+	0.874566i
$248$	2.67920	+	2.45895i	0.170129	+	0.156143i
$249$	−8.15567	−	8.39198i	−0.516844	−	0.531820i
$250$	1.94179	+	0.692828i	0.122809	+	0.0438183i
$251$	6.14971	+	18.9269i	0.388166	+	1.19465i	0.934157	+	0.356862i	$0.116153\pi$
$251$	6.14971	+	18.9269i	0.388166	+	1.19465i	−0.545991	+	0.837791i	$0.683847\pi$
$252$	6.93449	−	8.00282i	0.436832	−	0.504131i
$253$	−27.3294	+	8.29445i	−1.71819	+	0.521468i
$254$	−0.414098	−	0.477895i	−0.0259828	−	0.0299858i
$255$	−2.71516	+	4.50258i	−0.170030	+	0.281963i
$256$	6.88413	+	8.92749i	0.430258	+	0.557968i
$257$	10.4707	−	3.73594i	0.653145	−	0.233042i	0.0113707	−	0.999935i	$-0.496381\pi$
$257$	10.4707	−	3.73594i	0.653145	−	0.233042i	0.641774	+	0.766894i	$0.278199\pi$
$258$	−1.55612	−	0.765092i	−0.0968797	−	0.0476325i
$259$	14.2473	−	11.6500i	0.885286	−	0.723895i
$260$	−3.02551	−	14.9315i	−0.187634	−	0.926011i
$261$	−1.29575	−	0.0740937i	−0.0802050	−	0.00458629i
$262$	−14.5278	+	13.3335i	−0.897530	+	0.823746i
$263$	0.349746	+	2.43253i	0.0215662	+	0.149996i	0.997759	−	0.0669075i	$-0.0213132\pi$
$263$	0.349746	+	2.43253i	0.0215662	+	0.149996i	−0.976193	+	0.216904i	$0.930404\pi$
$264$	1.22458	−	2.07300i	0.0753676	−	0.127584i
$265$	−0.999618	+	6.95250i	−0.0614061	+	0.427088i
$266$	13.1416	+	19.2189i	0.805761	+	1.17839i
$267$	−0.615009	−	1.57964i	−0.0376380	−	0.0966723i
$268$	−8.63357	+	11.1962i	−0.527380	+	0.683918i
$269$	0.780624	−	2.40251i	0.0475955	−	0.146484i	−0.924434	−	0.381341i	$-0.875462\pi$
$269$	0.780624	−	2.40251i	0.0475955	−	0.146484i	0.972030	+	0.234857i	$0.0754623\pi$
$270$	6.02221	+	9.98672i	0.366500	+	0.607772i
$271$	10.4930	−	26.9511i	0.637406	−	1.63716i	−0.126598	−	0.991954i	$-0.540406\pi$
$271$	10.4930	−	26.9511i	0.637406	−	1.63716i	0.764005	−	0.645211i	$-0.223231\pi$
$272$	−12.5212	+	2.91168i	−0.759210	+	0.176547i
$273$	−40.2337	−	17.0029i	−2.43506	−	1.02906i
$274$	23.5591	+	15.1405i	1.42326	+	0.914671i
$275$	−2.28983	+	2.39931i	−0.138082	+	0.144684i
$276$	22.9130	−	14.7253i	1.37920	−	0.886358i
$277$	−7.67516	+	1.32824i	−0.461156	+	0.0798062i	−0.396366	−	0.918093i	$-0.629729\pi$
$277$	−7.67516	+	1.32824i	−0.461156	+	0.0798062i	−0.0647902	+	0.997899i	$0.520638\pi$
$278$	0.789020	+	9.18640i	0.0473223	+	0.550963i
$279$	0.617440	−	7.18873i	0.0369652	−	0.430378i
$280$	−2.33675	−	0.404391i	−0.139648	−	0.0241670i
$281$	19.0393	−	8.04608i	1.13579	−	0.479989i	0.261409	−	0.965228i	$-0.415813\pi$
$281$	19.0393	−	8.04608i	1.13579	−	0.479989i	0.874382	+	0.485239i	$0.161267\pi$
$282$	−8.08677	+	5.87538i	−0.481560	+	0.349874i
$283$	−12.9256	+	7.29943i	−0.768348	+	0.433906i	−0.825459	−	0.564462i	$-0.809084\pi$
$283$	−12.9256	+	7.29943i	−0.768348	+	0.433906i	0.0571113	+	0.998368i	$0.481811\pi$
$284$	−0.582870	−	20.4031i	−0.0345870	−	1.21070i
$285$	−3.31686	+	0.973919i	−0.196474	+	0.0576900i
$286$	45.1786	+	10.0751i	2.67147	+	0.595751i
$287$	−52.4560	−	15.4025i	−3.09638	−	0.909179i
$288$	−2.11485	+	8.04572i	−0.124619	+	0.474098i
$289$	−0.596456	+	2.94363i	−0.0350857	+	0.173155i
$290$	1.21843	+	2.30918i	0.0715486	+	0.135600i
$291$	0.226653	−	7.93388i	0.0132866	−	0.465093i
$292$	3.53196	+	13.4370i	0.206692	+	0.786339i
$293$	−6.57992	+	0.376253i	−0.384403	+	0.0219810i	−0.248222	−	0.968703i	$-0.579846\pi$
$293$	−6.57992	+	0.376253i	−0.384403	+	0.0219810i	−0.136181	+	0.990684i	$0.543483\pi$
$294$	−28.4295	+	29.2533i	−1.65804	+	1.70609i
$295$	−2.98655	+	1.46839i	−0.173884	+	0.0854929i
$296$	0.860158	−	1.88348i	0.0499957	−	0.109475i
$297$	−18.6181	+	2.30740i	−1.08033	+	0.133889i
$298$	7.90087	+	17.3005i	0.457685	+	1.00219i
$299$	45.1275	+	36.9006i	2.60979	+	2.13402i
$300$	1.47603	−	2.79738i	0.0852185	−	0.161507i
$301$	−2.39246	−	1.35109i	−0.137899	−	0.0778753i
$302$	2.28546	−	0.262232i	0.131513	−	0.0150898i
$303$	−7.03302	+	0.806964i	−0.404037	+	0.0463589i
$304$	−7.35951	−	4.15610i	−0.422097	−	0.238369i
$305$	1.76085	−	3.33718i	0.100826	−	0.191086i
$306$	−6.11945	−	5.00385i	−0.349826	−	0.286051i
$307$	0.325188	+	0.712063i	0.0185595	+	0.0406396i	0.918685	−	0.394992i	$-0.129252\pi$
$307$	0.325188	+	0.712063i	0.0185595	+	0.0406396i	−0.900125	+	0.435631i	$0.856525\pi$
$308$	19.0857	−	28.4623i	1.08751	−	1.62179i
$309$	6.88073	−	15.0667i	0.391431	−	0.857114i
$310$	−13.0256	+	6.40423i	−0.739802	+	0.363736i
$311$	5.10593	−	5.25388i	0.289531	−	0.297920i	−0.556725	−	0.830697i	$-0.687942\pi$
$311$	5.10593	−	5.25388i	0.289531	−	0.297920i	0.846256	+	0.532777i	$0.178851\pi$
$312$	−4.90621	+	0.280547i	−0.277760	+	0.0158829i
$313$	−2.09887	−	7.98494i	−0.118635	−	0.451335i	0.881133	−	0.472869i	$-0.156782\pi$
$313$	−2.09887	−	7.98494i	−0.118635	−	0.451335i	−0.999768	+	0.0215335i	$0.993145\pi$
$314$	−0.186416	+	6.52541i	−0.0105201	+	0.368250i
$315$	2.19576	+	4.16144i	0.123717	+	0.234470i
$316$	2.15807	−	10.6505i	0.121401	−	0.599137i
$317$	8.52222	−	32.4219i	0.478655	−	1.82099i	−0.0868141	−	0.996225i	$-0.527669\pi$
$317$	8.52222	−	32.4219i	0.478655	−	1.82099i	0.565469	−	0.824769i	$-0.308695\pi$
$318$	19.5276	+	5.73381i	1.09505	+	0.321536i
$319$	−4.19098	+	0.277783i	−0.234650	+	0.0155529i
$320$	9.46354	−	2.77875i	0.529028	−	0.155337i
$321$	−0.455670	−	15.9505i	−0.0254330	−	0.890272i
$322$	70.9741	−	40.0809i	3.95523	−	2.23362i
$323$	7.44481	−	5.40897i	0.414240	−	0.300963i
$324$	10.1063	−	4.27096i	0.561461	−	0.237275i
$325$	6.67030	+	1.15434i	0.370002	+	0.0640313i
$326$	−0.0999793	+	1.16404i	−0.00553734	+	0.0644701i
$327$	1.07042	+	12.4627i	0.0591945	+	0.689189i
$328$	−6.06078	+	1.04886i	−0.334651	+	0.0579136i
$329$	−13.3242	+	8.56294i	−0.734586	+	0.472090i
$330$	5.93700	+	7.55659i	0.326821	+	0.415977i
$331$	6.66018	+	4.28024i	0.366077	+	0.235263i	0.710727	−	0.703468i	$-0.248366\pi$
$331$	6.66018	+	4.28024i	0.366077	+	0.235263i	−0.344650	+	0.938731i	$0.612003\pi$
$332$	−17.2612	−	7.29463i	−0.947330	−	0.400345i
$333$	−4.00146	+	0.930499i	−0.219278	+	0.0509910i
$334$	−12.8283	+	32.9493i	−0.701935	+	1.80291i
$335$	−3.24412	−	5.37977i	−0.177245	−	0.293928i
$336$	6.85130	−	21.0861i	0.373769	−	1.15034i
$337$	18.5226	−	24.0205i	1.00899	−	1.30848i	0.0583117	−	0.998298i	$-0.481428\pi$
$337$	18.5226	−	24.0205i	1.00899	−	1.30848i	0.950677	−	0.310182i	$-0.100390\pi$
$338$	−24.5533	−	63.0646i	−1.33552	−	3.43026i
$339$	−4.77804	−	6.98766i	−0.259508	−	0.379518i
$340$	−1.19825	+	8.33402i	−0.0649843	+	0.451976i
$341$	−0.878319	−	23.3334i	−0.0475637	−	1.26357i
$342$	−0.739635	−	5.14427i	−0.0399949	−	0.278170i
$343$	−23.9425	+	21.9742i	−1.29277	+	1.18650i
$344$	−0.308623	−	0.0176477i	−0.0166398	−	0.000951499i
$345$	2.40340	+	11.8613i	0.129395	+	0.638588i
$346$	−10.7712	+	8.80760i	−0.579066	+	0.473500i
$347$	19.6639	+	9.66809i	1.05561	+	0.519010i	0.884644	−	0.466266i	$-0.154401\pi$
$347$	19.6639	+	9.66809i	1.05561	+	0.519010i	0.170969	+	0.985276i	$0.445310\pi$
$348$	3.77257	−	1.34605i	0.202231	−	0.0721559i
$349$	−10.5476	−	13.6784i	−0.564602	−	0.732189i	0.419898	−	0.907571i	$-0.362066\pi$
$349$	−10.5476	−	13.6784i	−0.564602	−	0.732189i	−0.984500	+	0.175382i	$0.943884\pi$
$350$	4.88793	−	8.10572i	0.261271	−	0.433269i
$351$	25.0756	+	28.9388i	1.33844	+	1.54464i
$352$	−3.58971	+	26.6817i	−0.191332	+	1.42214i
$353$	−10.0960	+	11.6514i	−0.537357	+	0.620143i	−0.957890	−	0.287134i	$-0.907297\pi$
$353$	−10.0960	+	11.6514i	−0.537357	+	0.620143i	0.420533	+	0.907277i	$0.361843\pi$
$354$	2.97982	+	9.17093i	0.158375	+	0.487429i
$355$	8.54212	+	3.04782i	0.453368	+	0.161762i
$356$	−1.89185	−	1.94666i	−0.100268	−	0.103173i
$357$	17.7846	+	16.3226i	0.941262	+	0.863882i
$358$	−29.4869	+	43.1232i	−1.55843	+	2.27913i
$359$	6.34868	+	1.47632i	0.335070	+	0.0779173i	0.390656	−	0.920537i	$-0.372248\pi$
$359$	6.34868	+	1.47632i	0.335070	+	0.0779173i	−0.0555858	+	0.998454i	$0.517703\pi$
$360$	0.428271	+	0.311157i	0.0225719	+	0.0163994i
$361$	−12.8654	−	1.47616i	−0.677125	−	0.0776928i
$362$	−46.9336			−2.46678
$363$	−14.9917	+	3.77390i	−0.786860	+	0.198078i
$364$	−69.9454			−3.66614
$365$	−6.13312	−	0.703710i	−0.321022	−	0.0368339i
$366$	−8.84493	−	6.42622i	−0.462332	−	0.335904i
$367$	17.0440	+	3.96340i	0.889688	+	0.206888i	0.646339	−	0.763051i	$-0.276299\pi$
$367$	17.0440	+	3.96340i	0.889688	+	0.206888i	0.243349	+	0.969939i	$0.421754\pi$
$368$	−16.7017	+	24.4254i	−0.870634	+	1.27326i
$369$	8.99102	+	8.25188i	0.468054	+	0.429576i
$370$	5.75984	+	5.92673i	0.299440	+	0.308116i
$371$	30.3726	+	10.8369i	1.57687	+	0.562625i
$372$	6.88111	+	21.1779i	0.356769	+	1.09802i
$373$	5.10111	−	5.88699i	0.264125	−	0.304817i	−0.608160	−	0.793815i	$-0.708092\pi$
$373$	5.10111	−	5.88699i	0.264125	−	0.304817i	0.872285	+	0.488998i	$0.162637\pi$
$374$	−21.6452	−	13.6349i	−1.11924	−	0.705042i
$375$	0.920342	+	1.06213i	0.0475263	+	0.0548482i
$376$	−0.920197	+	1.52598i	−0.0474556	+	0.0786962i
$377$	5.23498	+	6.78884i	0.269615	+	0.349643i
$378$	50.4278	−	17.9926i	2.59373	−	0.925439i
$379$	−3.64833	−	1.79377i	−0.187402	−	0.0921395i	0.345108	−	0.938563i	$-0.387842\pi$
$379$	−3.64833	−	1.79377i	−0.187402	−	0.0921395i	−0.532511	+	0.846423i	$0.678751\pi$
$380$	−4.28542	+	3.50417i	−0.219837	+	0.179760i
$381$	−0.0856034	−	0.422469i	−0.00438560	−	0.0216438i
$382$	−25.6667	−	1.46767i	−1.31322	−	0.0750926i
$383$	−4.23554	+	3.88734i	−0.216426	+	0.198634i	−0.777054	−	0.629434i	$-0.783287\pi$
$383$	−4.23554	+	3.88734i	−0.216426	+	0.198634i	0.560628	+	0.828068i	$0.310560\pi$
$384$	−0.820014	−	5.70332i	−0.0418462	−	0.291046i
$385$	8.70838	+	12.4911i	0.443820	+	0.636603i
$386$	−1.46716	+	10.2043i	−0.0746763	+	0.519385i
$387$	0.346190	+	0.506287i	0.0175978	+	0.0257360i
$388$	−4.61133	−	11.8441i	−0.234105	−	0.601293i
$389$	22.4064	−	29.0571i	1.13605	−	1.47325i	0.277353	−	0.960768i	$-0.410543\pi$
$389$	22.4064	−	29.0571i	1.13605	−	1.47325i	0.858696	−	0.512486i	$-0.171275\pi$
$390$	6.06119	−	18.6544i	0.306920	−	0.944604i
$391$	−16.6365	−	27.5886i	−0.841344	−	1.39521i
$392$	−2.63835	+	6.77654i	−0.133257	+	0.342267i
$393$	−13.0926	+	3.04456i	−0.660436	+	0.153578i
$394$	4.62989	+	1.95661i	0.233250	+	0.0985724i
$395$	4.06207	+	2.61053i	0.204385	+	0.131350i
$396$	−6.62655	+	3.82182i	−0.332997	+	0.192054i
$397$	7.96389	−	5.11808i	0.399696	−	0.256869i	−0.325316	−	0.945605i	$-0.605471\pi$
$397$	7.96389	−	5.11808i	0.399696	−	0.256869i	0.725012	+	0.688736i	$0.241834\pi$
$398$	42.8582	−	7.41690i	2.14829	−	0.371776i
$399$	1.35816	+	15.8128i	0.0679932	+	0.791630i
$400$	−0.294048	+	3.42354i	−0.0147024	+	0.171177i
$401$	14.8162	+	2.56404i	0.739885	+	0.128042i	0.527990	−	0.849250i	$-0.322946\pi$
$401$	14.8162	+	2.56404i	0.739885	+	0.128042i	0.211895	+	0.977293i	$0.432037\pi$
$402$	−16.7669	+	7.08576i	−0.836258	+	0.353405i
$403$	−38.5567	+	28.0131i	−1.92065	+	1.39543i
$404$	−9.87099	+	5.57440i	−0.491100	+	0.277337i
$405$	0.139215	+	4.87315i	0.00691764	+	0.242149i
$406$	11.5015	−	3.37714i	0.570809	−	0.167605i
$407$	−12.4809	+	4.58112i	−0.618654	+	0.227078i
$408$	2.60588	+	0.765155i	0.129010	+	0.0378808i
$409$	4.50616	−	17.1432i	0.222815	−	0.847677i	−0.757922	−	0.652345i	$-0.773785\pi$
$409$	4.50616	−	17.1432i	0.222815	−	0.847677i	0.980737	−	0.195332i	$-0.0625783\pi$
$410$	4.87545	−	24.0613i	0.240782	−	1.18830i
$411$	8.90875	+	16.8840i	0.439436	+	0.832824i
$412$	0.757420	−	26.5132i	0.0373154	−	1.30621i
$413$	3.88428	+	14.7773i	0.191133	+	0.727145i
$414$	−18.1652	+	1.03872i	−0.892771	+	0.0510505i
$415$	5.80309	−	5.97124i	0.284862	−	0.293117i
$416$	49.3119	−	24.2450i	2.41771	−	1.18871i
$417$	−2.61097	+	5.71722i	−0.127860	+	0.279974i
$418$	−4.42301	−	16.2272i	−0.216336	−	0.793697i
$419$	4.83825	+	10.5943i	0.236364	+	0.517565i	0.990227	−	0.139467i	$-0.0445390\pi$
$419$	4.83825	+	10.5943i	0.236364	+	0.517565i	−0.753863	+	0.657032i	$0.771812\pi$
$420$	−11.2416	−	9.19218i	−0.548532	−	0.448532i
$421$	−7.00827	+	13.2821i	−0.341562	+	0.647332i	−0.993862	−	0.110629i	$-0.964713\pi$
$421$	−7.00827	+	13.2821i	−0.341562	+	0.647332i	0.652300	+	0.757961i	$0.273804\pi$
$422$	36.8178	+	20.7919i	1.79226	+	1.01214i
$423$	3.51249	−	0.403020i	0.170783	−	0.0195955i
$424$	3.60450	−	0.413578i	0.175050	−	0.0200851i
$425$	−3.25763	−	1.83967i	−0.158018	−	0.0892371i
$426$	12.2635	−	23.2420i	0.594171	−	1.12608i
$427$	−13.4108	−	10.9659i	−0.648993	−	0.530679i
$428$	−10.6150	−	23.2437i	−0.513097	−	1.12353i
$429$	23.4393	+	21.1242i	1.13166	+	1.01989i
$430$	0.512554	−	1.12234i	0.0247175	−	0.0541238i
$431$	−11.1422	+	5.47826i	−0.536702	+	0.263879i	−0.689383	−	0.724397i	$-0.742118\pi$
$431$	−11.1422	+	5.47826i	−0.536702	+	0.263879i	0.152681	+	0.988275i	$0.451209\pi$
$432$	−13.5461	+	13.9386i	−0.651738	+	0.670623i
$433$	6.80484	−	0.389115i	0.327020	−	0.0186997i	0.107192	−	0.994238i	$-0.465814\pi$
$433$	6.80484	−	0.389115i	0.327020	−	0.0186997i	0.219828	+	0.975539i	$0.429450\pi$
$434$	16.9409	+	64.4499i	0.813189	+	3.09369i
$435$	−0.0508240	+	1.77907i	−0.00243683	+	0.0853000i
$436$	9.34765	+	17.7158i	0.447671	+	0.848431i
$437$	4.20641	−	20.7594i	0.201220	−	0.993059i
$438$	−4.54727	+	17.2996i	−0.217277	+	0.826608i
$439$	−28.7321	−	8.43650i	−1.37131	−	0.402652i	−0.488572	−	0.872524i	$-0.662482\pi$
$439$	−28.7321	−	8.43650i	−1.37131	−	0.402652i	−0.882735	+	0.469872i	$0.844300\pi$
$440$	1.49930	+	0.828861i	0.0714765	+	0.0395144i
$441$	13.8438	−	4.06490i	0.659228	−	0.193567i
$442$	1.49102	+	52.1926i	0.0709207	+	2.48255i
$443$	−13.4983	+	7.62286i	−0.641326	+	0.362173i	−0.777838	−	0.628465i	$-0.783683\pi$
$443$	−13.4983	+	7.62286i	−0.641326	+	0.362173i	0.136512	+	0.990638i	$0.456411\pi$
$444$	10.2574	−	7.45247i	0.486797	−	0.353679i
$445$	1.11102	−	0.469522i	0.0526675	−	0.0222575i
$446$	32.7668	+	5.67051i	1.55155	+	0.268506i
$447$	−1.10948	+	12.9174i	−0.0524764	+	0.610972i
$448$	−3.87505	−	45.1164i	−0.183079	−	2.13155i
$449$	−33.0300	+	5.71607i	−1.55878	+	0.269758i	−0.883725	−	0.468006i	$-0.844972\pi$
$449$	−33.0300	+	5.71607i	−1.55878	+	0.269758i	−0.675058	+	0.737764i	$0.735882\pi$
$450$	−1.77750	+	1.14233i	−0.0837919	+	0.0538498i
$451$	32.1604	+	22.9234i	1.51437	+	1.07942i
$452$	−11.4036	−	7.32867i	−0.536382	−	0.344712i
$453$	1.44447	+	0.610440i	0.0678673	+	0.0286810i
$454$	10.3232	−	2.40055i	0.484491	−	0.112664i
$455$	11.2758	−	28.9617i	0.528619	−	1.35775i
$456$	0.922087	+	1.52911i	0.0431807	+	0.0716071i
$457$	3.46790	−	10.6731i	0.162222	−	0.499267i	−0.836599	−	0.547816i	$-0.815460\pi$
$457$	3.46790	−	10.6731i	0.162222	−	0.499267i	0.998821	+	0.0485484i	$0.0154595\pi$
$458$	−10.8155	+	14.0258i	−0.505377	+	0.655384i
$459$	−7.67780	−	19.7203i	−0.358369	−	0.920463i
$460$	10.9389	+	15.9977i	0.510030	+	0.745895i
$461$	−2.38193	+	16.5667i	−0.110938	+	0.771588i	0.856074	+	0.516854i	$0.172897\pi$
$461$	−2.38193	+	16.5667i	−0.110938	+	0.771588i	−0.967011	+	0.254734i	$0.918012\pi$
$462$	39.4153	−	19.8249i	1.83377	−	0.922336i
$463$	4.85878	+	33.7936i	0.225807	+	1.57052i	0.715492	+	0.698621i	$0.246202\pi$
$463$	4.85878	+	33.7936i	0.225807	+	1.57052i	−0.489686	+	0.871899i	$0.662888\pi$
$464$	−3.20595	+	2.94240i	−0.148833	+	0.136597i
$465$	−9.87825	−	0.564859i	−0.458093	−	0.0261947i
$466$	−3.56367	−	17.5874i	−0.165084	−	0.814721i
$467$	11.5586	−	9.45140i	0.534867	−	0.437359i	−0.326607	−	0.945160i	$-0.605905\pi$
$467$	11.5586	−	9.45140i	0.534867	−	0.437359i	0.861474	+	0.507802i	$0.169542\pi$
$468$	14.0115	+	6.88900i	0.647683	+	0.318444i
$469$	−27.1651	+	9.69248i	−1.25437	+	0.447557i
$470$	−4.34318	−	5.63234i	−0.200336	−	0.259800i
$471$	−2.29798	+	3.81078i	−0.105886	+	0.175591i
$472$	1.12573	+	1.29916i	0.0518160	+	0.0597989i
$473$	1.31335	+	1.48822i	0.0603881	+	0.0684283i
$474$	9.16202	−	10.5735i	0.420826	−	0.485659i
$475$	−0.760095	−	2.33933i	−0.0348756	−	0.107336i
$476$	36.4079	+	12.9903i	1.66875	+	0.595410i
$477$	−5.01692	−	5.16229i	−0.229709	−	0.236365i
$478$	39.2867	+	36.0570i	1.79693	+	1.64921i
$479$	−2.74085	+	4.00837i	−0.125233	+	0.183147i	−0.882993	−	0.469386i	$-0.844475\pi$
$479$	−2.74085	+	4.00837i	−0.125233	+	0.183147i	0.757760	+	0.652533i	$0.226294\pi$
$480$	11.1116	+	2.58390i	0.507174	+	0.117938i
$481$	21.9536	+	15.9502i	1.00100	+	0.727267i
$482$	−12.7035	−	1.45759i	−0.578629	−	0.0663915i
$483$	55.5631			2.52821
$484$	−19.7609	+	14.9119i	−0.898223	+	0.677812i
$485$	5.64758			0.256444
$486$	−20.7242	−	2.37789i	−0.940071	−	0.107863i
$487$	−4.09176	−	2.97284i	−0.185415	−	0.134712i	0.491206	−	0.871044i	$-0.336556\pi$
$487$	−4.09176	−	2.97284i	−0.185415	−	0.134712i	−0.676621	+	0.736332i	$0.736556\pi$
$488$	−1.89837	−	0.441447i	−0.0859351	−	0.0199834i
$489$	−0.449533	+	0.657421i	−0.0203286	+	0.0297296i
$490$	−21.3841	−	19.6261i	−0.966034	−	0.886618i
$491$	−17.6983	−	18.2111i	−0.798712	−	0.821855i	0.188366	−	0.982099i	$-0.439681\pi$
$491$	−17.6983	−	18.2111i	−0.798712	−	0.821855i	−0.987077	+	0.160244i	$0.948772\pi$
$492$	−35.4732	−	12.6568i	−1.59926	−	0.570614i
$493$	−1.46408	−	4.50596i	−0.0659387	−	0.202938i
$494$	−22.4807	+	25.9441i	−1.01145	+	1.16728i
$495$	−0.514210	−	3.35992i	−0.0231120	−	0.151017i
$496$	−15.8420	−	18.2826i	−0.711325	−	0.820913i
$497$	21.5025	−	35.6579i	0.964520	−	1.59948i
$498$	−14.7326	−	19.1055i	−0.660182	−	0.856140i
$499$	21.2253	−	7.57318i	0.950176	−	0.339022i	0.184924	−	0.982753i	$-0.440796\pi$
$499$	21.2253	−	7.57318i	0.950176	−	0.339022i	0.765252	+	0.643731i	$0.222614\pi$
$500$	2.01963	+	0.992986i	0.0903207	+	0.0444077i
$501$	−18.6592	+	15.2575i	−0.833630	+	0.681656i
$502$	8.14804	+	40.2122i	0.363665	+	1.79476i
$503$	−33.3556	−	1.90734i	−1.48725	−	0.0850442i	−0.705534	−	0.708676i	$-0.749293\pi$
$503$	−33.3556	−	1.90734i	−1.48725	−	0.0850442i	−0.781718	+	0.623632i	$0.785656\pi$
$504$	1.79059	−	1.64338i	0.0797590	−	0.0732022i
$505$	−0.716856	−	4.98585i	−0.0318997	−	0.221867i
$506$	−57.9267	+	10.5663i	−2.57515	+	0.469728i
$507$	6.56540	−	45.6634i	0.291580	−	2.02798i
$508$	−0.389619	−	0.569799i	−0.0172865	−	0.0252807i
$509$	−3.75204	−	9.63704i	−0.166306	−	0.427154i	0.823906	−	0.566727i	$-0.191791\pi$
$509$	−3.75204	−	9.63704i	−0.166306	−	0.427154i	−0.990212	+	0.139573i	$0.955427\pi$
$510$	−6.61948	+	8.58429i	−0.293115	+	0.380119i
$511$	−8.75836	+	26.9555i	−0.387447	+	1.19244i
$512$	16.2366	+	26.9254i	0.717564	+	1.18995i
$513$	5.04791	−	12.9655i	0.222871	−	0.572439i
$514$	22.3246	−	5.19136i	0.984695	−	0.228981i
$515$	10.8560	+	4.58778i	0.478372	+	0.202162i
$516$	−1.59239	−	1.02337i	−0.0701010	−	0.0450512i
$517$	11.1204	−	2.69242i	0.489076	−	0.118413i
$518$	31.9199	−	20.5137i	1.40248	−	0.901320i
$519$	−9.34578	+	1.61735i	−0.410234	+	0.0709939i
$520$	−0.299228	−	3.48385i	−0.0131220	−	0.152777i
$521$	2.06566	−	24.0500i	0.0904980	−	1.05365i	−0.800406	−	0.599458i	$-0.795383\pi$
$521$	2.06566	−	24.0500i	0.0904980	−	1.05365i	0.890904	−	0.454191i	$-0.150072\pi$
$522$	−2.63660	−	0.456282i	−0.115401	−	0.0199709i
$523$	−41.2461	+	17.4308i	−1.80357	+	0.762194i	−0.822435	+	0.568859i	$0.807385\pi$
$523$	−41.2461	+	17.4308i	−1.80357	+	0.762194i	−0.981133	+	0.193336i	$0.938069\pi$
$524$	−17.4143	+	12.6523i	−0.760749	+	0.552717i
$525$	5.61837	−	3.17284i	0.245206	−	0.138474i
$526$	0.144685	+	5.06462i	0.00630855	+	0.220828i
$527$	25.2721	−	7.42055i	1.10087	−	0.323244i
$528$	−9.66508	+	12.7717i	−0.420619	+	0.555815i
$529$	−49.0820	−	14.4118i	−2.13400	−	0.626599i
$530$	−3.68140	+	14.0055i	−0.159910	+	0.608360i
$531$	0.677333	−	3.34277i	0.0293938	−	0.145064i
$532$	11.8604	+	22.4779i	0.514213	+	0.974542i
$533$	2.30190	−	80.5769i	0.0997063	−	3.49017i
$534$	−0.888452	−	3.38002i	−0.0384471	−	0.146268i
$535$	11.3356	−	0.648191i	0.490079	−	0.0280237i
$536$	−2.26156	+	2.32709i	−0.0976846	+	0.100515i
$537$	−31.9574	+	15.7124i	−1.37906	+	0.678040i
$538$	2.16354	−	4.73748i	0.0932766	−	0.204247i
$539$	42.8433	−	18.5652i	1.84539	−	0.799660i
$540$	5.28833	+	11.5798i	0.227574	+	0.498317i
$541$	21.0759	+	17.2337i	0.906123	+	0.740933i	0.966344	−	0.257252i	$-0.0828170\pi$
$541$	21.0759	+	17.2337i	0.906123	+	0.740933i	−0.0602213	+	0.998185i	$0.519181\pi$
$542$	27.8262	−	52.7365i	1.19524	−	2.26523i
$543$	−27.8582	−	15.7323i	−1.19551	−	0.675136i
$544$	−30.1705	+	3.46175i	−1.29355	+	0.148421i
$545$	−8.84236	+	1.01457i	−0.378765	+	0.0434592i
$546$	−78.4126	−	44.2817i	−3.35575	−	1.89508i
$547$	−7.87281	+	14.9206i	−0.336617	+	0.637960i	−0.993217	−	0.116279i	$-0.962903\pi$
$547$	−7.87281	+	14.9206i	−0.336617	+	0.637960i	0.656600	+	0.754239i	$0.271994\pi$
$548$	23.6656	+	19.3512i	1.01094	+	0.826643i
$549$	1.60641	+	3.51754i	0.0685599	+	0.150125i
$550$	−5.25400	+	4.37624i	−0.224031	+	0.186603i
$551$	1.29401	−	2.83349i	0.0551268	−	0.120711i
$552$	5.60990	−	2.75820i	0.238773	−	0.117397i
$553$	15.4502	−	15.8978i	0.657007	−	0.676045i
$554$	−16.0328	+	0.916787i	−0.681167	+	0.0389505i
$555$	1.43219	+	5.44863i	0.0607932	+	0.231281i
$556$	−0.287412	+	10.0607i	−0.0121890	+	0.426669i
$557$	17.8179	+	33.7687i	0.754969	+	1.43083i	0.897491	+	0.441033i	$0.145388\pi$
$557$	17.8179	+	33.7687i	0.754969	+	1.43083i	−0.142522	+	0.989792i	$0.545521\pi$
$558$	2.95412	−	14.5792i	0.125058	−	0.617186i
$559$	1.02990	−	3.91815i	0.0435601	−	0.165720i
$560$	15.1367	+	4.44455i	0.639644	+	0.187816i
$561$	−8.27741	−	15.3487i	−0.349472	−	0.648023i
$562$	40.8881	−	12.0058i	1.72476	−	0.506436i
$563$	−1.05980	−	37.0978i	−0.0446652	−	1.56349i	−0.645280	−	0.763947i	$-0.723259\pi$
$563$	−1.05980	−	37.0978i	−0.0446652	−	1.56349i	0.600614	−	0.799539i	$-0.294923\pi$
$564$	−9.50110	+	5.36552i	−0.400068	+	0.225929i
$565$	4.87290	−	3.54037i	0.205004	−	0.148944i
$566$	−28.1903	+	11.9133i	−1.18493	+	0.500754i
$567$	22.0546	+	3.81669i	0.926204	+	0.160286i
$568$	0.400899	−	4.66758i	0.0168213	−	0.195847i
$569$	3.44297	+	40.0858i	0.144337	+	1.68049i	0.607583	+	0.794256i	$0.292139\pi$
$569$	3.44297	+	40.0858i	0.144337	+	1.68049i	−0.463246	+	0.886230i	$0.653316\pi$
$570$	−7.02264	+	1.21532i	−0.294146	+	0.0509039i
$571$	37.0501	−	23.8107i	1.55050	−	0.996445i	0.565329	−	0.824866i	$-0.308749\pi$
$571$	37.0501	−	23.8107i	1.55050	−	0.996445i	0.985170	−	0.171580i	$-0.0548871\pi$
$572$	47.7420	+	16.5480i	1.99619	+	0.691907i
$573$	−14.7429	−	9.47469i	−0.615894	−	0.395811i
$574$	−103.823	−	43.8760i	−4.33349	−	1.83135i
$575$	−8.38749	+	1.95043i	−0.349782	+	0.0813384i
$576$	−3.66731	+	9.41941i	−0.152805	+	0.392476i
$577$	−17.3974	−	28.8503i	−0.724262	−	1.20105i	−0.972624	−	0.232386i	$-0.925347\pi$
$577$	−17.3974	−	28.8503i	−0.724262	−	1.20105i	0.248362	−	0.968667i	$-0.420108\pi$
$578$	−1.91348	+	5.88910i	−0.0795904	+	0.244954i
$579$	−4.29136	+	5.56514i	−0.178343	+	0.231279i
$580$	1.03403	+	2.65589i	0.0429359	+	0.110280i
$581$	−21.5777	−	31.5563i	−0.895193	−	1.30918i
$582$	2.32882	−	16.1973i	0.0965326	−	0.671399i
$583$	−18.1673	−	14.5825i	−0.752412	−	0.603947i
$584$	0.453810	+	3.15632i	0.0187788	+	0.130609i
$585$	−5.11126	+	4.69107i	−0.211324	+	0.193952i
$586$	−13.5657	−	0.775716i	−0.560394	−	0.0320445i
$587$	5.40159	+	26.6579i	0.222948	+	1.10029i	0.922586	+	0.385792i	$0.126072\pi$
$587$	5.40159	+	26.6579i	0.222948	+	1.10029i	−0.699638	+	0.714497i	$0.746655\pi$
$588$	−34.4716	+	28.1873i	−1.42158	+	1.16242i
$589$	15.5403	+	7.64065i	0.640327	+	0.314828i
$590$	−6.46228	+	2.30574i	−0.266048	+	0.0949257i
$591$	2.09229	+	2.71333i	0.0860652	+	0.111611i
$592$	−7.11295	+	11.7955i	−0.292341	+	0.484792i
$593$	−10.3454	−	11.9392i	−0.424834	−	0.490284i	0.502470	−	0.864595i	$-0.332425\pi$
$593$	−10.3454	−	11.9392i	−0.424834	−	0.490284i	−0.927303	+	0.374311i	$0.877879\pi$
$594$	−38.6768	+	0.350595i	−1.58693	+	0.0143851i
$595$	−11.2481	+	12.9810i	−0.461126	+	0.532168i
$596$	6.41564	+	19.7453i	0.262795	+	0.808800i
$597$	27.9254	+	9.96375i	1.14291	+	0.407789i
$598$	83.7600	+	86.1871i	3.42520	+	3.52445i
$599$	−27.3061	−	25.0613i	−1.11570	−	1.02398i	−0.999527	−	0.0307471i	$-0.990211\pi$
$599$	−27.3061	−	25.0613i	−1.11570	−	1.02398i	−0.116169	−	0.993229i	$-0.537061\pi$
$600$	0.409753	−	0.599245i	0.0167281	−	0.0244641i
$601$	−2.31682	−	0.538754i	−0.0945051	−	0.0219762i	0.178978	−	0.983853i	$-0.442721\pi$
$601$	−2.31682	−	0.538754i	−0.0945051	−	0.0219762i	−0.273483	+	0.961877i	$0.588176\pi$
$602$	−4.58283	−	3.32962i	−0.186782	−	0.135705i
$603$	6.39635	+	0.733913i	0.260479	+	0.0298872i
$604$	2.51118			0.102179
$605$	−2.98880	−	10.5862i	−0.121512	−	0.430389i
$606$	−14.5950			−0.592882
$607$	33.5735	+	3.85220i	1.36270	+	0.156356i	0.764312	−	0.644847i	$-0.223079\pi$
$607$	33.5735	+	3.85220i	1.36270	+	0.156356i	0.598393	+	0.801203i	$0.295806\pi$
$608$	−16.1531	−	11.7359i	−0.655095	−	0.475954i
$609$	7.95892	+	1.85077i	0.322512	+	0.0749969i
$610$	4.39093	−	6.42153i	0.177784	−	0.260000i
$611$	−17.2053	−	15.7909i	−0.696054	−	0.638832i
$612$	−6.01383	−	6.18808i	−0.243095	−	0.250138i
$613$	−10.7843	−	3.84782i	−0.435572	−	0.155412i	0.109156	−	0.994025i	$-0.465185\pi$
$613$	−10.7843	−	3.84782i	−0.435572	−	0.155412i	−0.544728	+	0.838613i	$0.683367\pi$
$614$	0.498720	+	1.53490i	0.0201267	+	0.0619437i
$615$	10.9593	−	12.6477i	0.441923	−	0.510006i
$616$	5.09660	−	5.99066i	0.205348	−	0.241371i
$617$	3.40468	+	3.92921i	0.137067	+	0.158184i	0.820133	−	0.572173i	$-0.193899\pi$
$617$	3.40468	+	3.92921i	0.137067	+	0.158184i	−0.683066	+	0.730357i	$0.739354\pi$
$618$	17.6343	−	29.2432i	0.709356	−	1.17633i
$619$	−25.3500	−	32.8745i	−1.01890	−	1.32134i	−0.946060	−	0.323993i	$-0.894975\pi$
$619$	−25.3500	−	32.8745i	−1.01890	−	1.32134i	−0.0728428	−	0.997343i	$-0.523207\pi$
$620$	−14.9230	+	5.32450i	−0.599320	+	0.213837i
$621$	−43.7122	−	21.4918i	−1.75411	−	0.862438i
$622$	11.6929	−	9.56127i	0.468844	−	0.383372i
$623$	−1.09972	−	5.42733i	−0.0440593	−	0.217441i
$624$	32.6375	+	1.86628i	1.30654	+	0.0747109i
$625$	−0.736741	+	0.676175i	−0.0294696	+	0.0270470i
$626$	−2.42243	−	16.8484i	−0.0968198	−	0.673396i
$627$	2.81404	−	11.1145i	0.112382	−	0.443871i
$628$	−1.01414	+	7.05353i	−0.0404688	+	0.281467i
$629$	−8.46496	−	12.3796i	−0.337520	−	0.493608i
$630$	3.51947	+	9.03968i	0.140219	+	0.360149i
$631$	9.28551	−	12.0417i	0.369650	−	0.479371i	−0.569933	−	0.821691i	$-0.693031\pi$
$631$	9.28551	−	12.0417i	0.369650	−	0.479371i	0.939583	+	0.342320i	$0.111213\pi$
$632$	0.770733	−	2.37207i	0.0306581	−	0.0943560i
$633$	14.8843	+	24.6828i	0.591597	+	0.981054i
$634$	25.0752	−	64.4051i	0.995863	−	2.55785i
$635$	0.298742	−	0.0694695i	0.0118552	−	0.00275681i
$636$	20.4639	+	8.64813i	0.811448	+	0.342921i
$637$	−80.1740	−	51.5247i	−3.17661	−	2.04148i
$638$	−8.64943	−	0.415972i	−0.342434	−	0.0164685i
$639$	−7.81939	+	5.02521i	−0.309330	+	0.198794i
$640$	4.03983	−	0.699120i	0.159688	−	0.0276351i
$641$	−1.62442	−	18.9128i	−0.0641607	−	0.747010i	−0.955753	−	0.294171i	$-0.904957\pi$
$641$	−1.62442	−	18.9128i	−0.0641607	−	0.747010i	0.891592	−	0.452839i	$-0.149589\pi$
$642$	2.81528	−	32.7777i	0.111110	−	1.29363i
$643$	3.84709	+	0.665765i	0.151714	+	0.0262552i	0.245873	−	0.969302i	$-0.420925\pi$
$643$	3.84709	+	0.665765i	0.151714	+	0.0262552i	−0.0941589	+	0.995557i	$0.530016\pi$
$644$	81.9580	−	34.6357i	3.22960	−	1.36484i
$645$	0.680445	−	0.494372i	0.0267925	−	0.0194659i
$646$	16.5200	−	9.32927i	0.649970	−	0.367055i
$647$	−0.979787	−	34.2970i	−0.0385194	−	1.34836i	−0.757277	−	0.653094i	$-0.773471\pi$
$647$	−0.979787	−	34.2970i	−0.0385194	−	1.34836i	0.718757	−	0.695261i	$-0.244711\pi$
$648$	2.41619	−	0.709457i	0.0949169	−	0.0278701i
$649$	0.844834	−	11.0054i	0.0331626	−	0.431999i
$650$	13.3911	+	3.93199i	0.525243	+	0.154225i
$651$	−11.5482	+	43.9339i	−0.452610	+	1.72191i
$652$	−0.253272	+	1.24994i	−0.00991888	+	0.0489516i
$653$	−11.0081	−	20.8626i	−0.430779	−	0.816418i	0.569204	−	0.822196i	$-0.307252\pi$
$653$	−11.0081	−	20.8626i	−0.430779	−	0.816418i	−0.999983	+	0.00577862i	$0.998161\pi$
$654$	−0.736425	+	25.7782i	−0.0287965	+	1.00801i
$655$	−2.43147	−	9.25028i	−0.0950055	−	0.361438i
$656$	40.8505	−	2.33592i	1.59494	−	0.0912022i
$657$	4.40936	−	4.53712i	0.172025	−	0.177010i
$658$	−29.3036	+	14.4076i	−1.14237	+	0.561668i
$659$	3.28500	−	7.19315i	0.127966	−	0.280205i	−0.834795	−	0.550561i	$-0.814414\pi$
$659$	3.28500	−	7.19315i	0.127966	−	0.280205i	0.962761	+	0.270355i	$0.0871412\pi$
$660$	5.49832	+	8.93380i	0.214022	+	0.347748i
$661$	6.90296	+	15.1154i	0.268494	+	0.587920i	0.995071	−	0.0991654i	$-0.0316173\pi$
$661$	6.90296	+	15.1154i	0.268494	+	0.587920i	−0.726577	+	0.687085i	$0.758890\pi$
$662$	12.6358	+	10.3322i	0.491103	+	0.401573i
$663$	−16.6101	+	31.4796i	−0.645082	+	1.22257i
$664$	−3.74506	−	2.11493i	−0.145336	−	0.0820753i
$665$	−11.2193	+	1.28729i	−0.435064	+	0.0499190i
$666$	−8.41465	+	0.965491i	−0.326061	+	0.0374120i
$667$	−9.49576	−	5.36250i	−0.367677	−	0.207637i
$668$	−18.0122	+	34.1369i	−0.696912	+	1.32079i
$669$	17.5485	+	14.3493i	0.678464	+	0.554777i
$670$	−5.38043	−	11.7815i	−0.207864	−	0.455159i
$671$	6.55929	+	10.6577i	0.253219	+	0.411436i
$672$	21.7578	−	47.6428i	0.839324	−	1.83786i
$673$	25.7533	−	12.6620i	0.992715	−	0.488085i	0.128772	−	0.991674i	$-0.458897\pi$
$673$	25.7533	−	12.6620i	0.992715	−	0.488085i	0.863943	+	0.503589i	$0.167987\pi$
$674$	43.5839	−	44.8468i	1.67879	−	1.72743i
$675$	−5.64730	+	0.322924i	−0.217365	+	0.0124294i
$676$	−18.7804	−	71.4480i	−0.722323	−	2.74800i
$677$	−0.349210	+	12.2239i	−0.0134212	+	0.469805i	0.964889	+	0.262659i	$0.0845993\pi$
$677$	−0.349210	+	12.2239i	−0.0134212	+	0.469805i	−0.978310	+	0.207146i	$0.933583\pi$
$678$	−8.14440	−	15.4354i	−0.312784	−	0.592791i
$679$	5.14920	−	25.4123i	0.197608	−	0.975235i
$680$	−0.491269	+	1.86898i	−0.0188393	+	0.0716721i
$681$	6.93217	+	2.03547i	0.265641	+	0.0779994i
$682$	3.68466	−	47.9989i	0.141093	−	1.83797i
$683$	−2.00553	+	0.588877i	−0.0767395	+	0.0225327i	−0.319877	−	0.947459i	$-0.603642\pi$
$683$	−2.00553	+	0.588877i	−0.0767395	+	0.0225327i	0.243137	+	0.969992i	$0.421823\pi$
$684$	−0.162006	−	5.67094i	−0.00619444	−	0.216834i
$685$	−11.8277	+	6.67942i	−0.451914	+	0.255207i
$686$	−54.2043	+	39.3817i	−2.06953	+	1.50360i
$687$	−11.1212	+	4.69987i	−0.424302	+	0.179311i
$688$	2.02628	+	0.350661i	0.0772511	+	0.0133688i
$689$	−4.06897	+	47.3741i	−0.155015	+	1.80481i
$690$	2.13519	+	24.8596i	0.0812854	+	0.946388i
$691$	−50.0610	+	8.66339i	−1.90441	+	0.329571i	−0.996063	−	0.0886478i	$-0.971745\pi$
$691$	−50.0610	+	8.66339i	−1.90441	+	0.329571i	−0.908346	+	0.418219i	$0.862655\pi$
$692$	−12.7772	+	8.21144i	−0.485718	+	0.312152i
$693$	−15.5874	−	0.749634i	−0.592115	−	0.0284762i
$694$	38.0044	+	24.4239i	1.44263	+	0.927119i
$695$	−4.11943	−	1.74089i	−0.156259	−	0.0660355i
$696$	0.895441	−	0.208226i	0.0339416	−	0.00789278i
$697$	−16.1630	+	41.5143i	−0.612217	+	1.57247i
$698$	−18.3895	−	30.4956i	−0.696054	−	1.15428i
$699$	3.78007	−	11.6339i	0.142975	−	0.440033i
$700$	6.30953	−	8.18234i	0.238478	−	0.309263i
$701$	−10.8611	−	27.8965i	−0.410218	−	1.05364i	−0.973766	−	0.227553i	$-0.926927\pi$
$701$	−10.8611	−	27.8965i	−0.410218	−	1.05364i	0.563547	−	0.826084i	$-0.309436\pi$
$702$	44.5600	+	65.1670i	1.68181	+	2.45957i
$703$	1.40323	−	9.75971i	0.0529240	−	0.368094i
$704$	−8.02890	+	31.7115i	−0.302600	+	1.19517i
$705$	−0.689994	−	4.79902i	−0.0259867	−	0.180741i
$706$	−23.4174	+	21.4923i	−0.881325	+	0.808873i
$707$	−23.0883	−	1.32024i	−0.868325	−	0.0496526i
$708$	2.09040	+	10.3166i	0.0785622	+	0.387720i
$709$	−21.2463	+	17.3730i	−0.797920	+	0.652456i	−0.941436	−	0.337192i	$-0.890523\pi$
$709$	−21.2463	+	17.3730i	−0.797920	+	0.652456i	0.143516	+	0.989648i	$0.454159\pi$
$710$	16.7801	+	8.25020i	0.629745	+	0.309625i
$711$	−4.66078	+	1.66296i	−0.174793	+	0.0623660i
$712$	−0.380450	−	0.493376i	−0.0142580	−	0.0184901i
$713$	31.3069	−	51.9167i	1.17245	−	1.94430i
$714$	32.5912	+	37.6123i	1.21970	+	1.40760i
$715$	−14.5483	+	17.1005i	−0.544077	+	0.639521i
$716$	−37.3441	+	43.0974i	−1.39562	+	1.61063i
$717$	11.2329	+	34.5712i	0.419499	+	1.29109i
$718$	12.6567	+	4.51590i	0.472344	+	0.168532i
$719$	21.9081	+	22.5429i	0.817034	+	0.840709i	0.989534	−	0.144301i	$-0.0460934\pi$
$719$	21.9081	+	22.5429i	0.817034	+	0.840709i	−0.172499	+	0.985010i	$0.555184\pi$
$720$	−2.59445	−	2.38117i	−0.0966896	−	0.0887409i
$721$	30.5415	−	44.6656i	1.13743	−	1.66343i
$722$	−26.0045	−	6.04709i	−0.967788	−	0.225049i
$723$	−7.05180	−	5.12343i	−0.262259	−	0.190542i
$724$	−50.8989	−	5.84011i	−1.89164	−	0.217046i
$725$	−1.26640			−0.0470329
$726$	−31.5936	+	4.20660i	−1.17255	+	0.156122i
$727$	8.16005			0.302640			0.151320	−	0.988485i	$-0.451648\pi$
$727$	8.16005			0.302640			0.151320	+	0.988485i	$0.451648\pi$
$728$	−15.9490	−	1.82998i	−0.591110	−	0.0678235i
$729$	−23.3364	−	16.9549i	−0.864310	−	0.627958i
$730$	−12.3968	−	2.88274i	−0.458825	−	0.106695i
$731$	−1.26376	+	1.84819i	−0.0467420	+	0.0683579i
$732$	−8.79259	−	8.06976i	−0.324983	−	0.298267i
$733$	0.271419	+	0.279284i	0.0100251	+	0.0103156i	0.722126	−	0.691762i	$-0.243165\pi$
$733$	0.271419	+	0.279284i	0.0100251	+	0.0103156i	−0.712101	+	0.702077i	$0.752256\pi$
$734$	33.9788	+	12.1236i	1.25418	+	0.447490i
$735$	−6.11415	−	18.8174i	−0.225524	−	0.694091i
$736$	−45.7751	+	52.8273i	−1.68729	+	1.94724i
$737$	20.8349	−	0.188863i	0.767463	−	0.00695686i
$738$	16.4765	+	19.0149i	0.606509	+	0.699948i
$739$	−12.5658	+	20.8380i	−0.462241	+	0.766540i	−0.996913	−	0.0785198i	$-0.974981\pi$
$739$	−12.5658	+	20.8380i	−0.462241	+	0.766540i	0.534672	+	0.845060i	$0.320435\pi$
$740$	5.50899	+	7.14419i	0.202515	+	0.262626i
$741$	−22.0403	+	7.86398i	−0.809672	+	0.288890i
$742$	59.6637	+	29.3347i	2.19032	+	1.07691i
$743$	27.2183	−	22.2563i	0.998541	−	0.816503i	0.0154985	−	0.999880i	$-0.495066\pi$
$743$	27.2183	−	22.2563i	0.998541	−	0.816503i	0.983043	+	0.183377i	$0.0587028\pi$
$744$	1.01496	+	5.00903i	0.0372103	+	0.183640i
$745$	−9.21005	−	0.526650i	−0.337430	−	0.0192950i
$746$	11.8318	−	10.8592i	0.433195	−	0.397582i
$747$	1.21444	+	8.44660i	0.0444339	+	0.309045i
$748$	−21.7773	−	17.4802i	−0.796256	−	0.639140i
$749$	7.41858	−	51.5974i	0.271069	−	1.88533i
$750$	1.63547	+	2.39180i	0.0597189	+	0.0873361i
$751$	16.6245	+	42.6996i	0.606635	+	1.55813i	0.814618	+	0.579997i	$0.196946\pi$
$751$	16.6245	+	42.6996i	0.606635	+	1.55813i	−0.207983	+	0.978132i	$0.566690\pi$
$752$	7.23865	−	9.38725i	0.263966	−	0.342318i
$753$	−8.64281	+	26.5998i	−0.314962	+	0.969352i
$754$	9.12705	+	15.1355i	0.332388	+	0.551203i
$755$	−0.404826	+	1.03979i	−0.0147331	+	0.0378417i
$756$	56.9272	−	13.2379i	2.07042	−	0.481456i
$757$	4.99891	+	2.11256i	0.181688	+	0.0767822i	0.478217	−	0.878242i	$-0.341283\pi$
$757$	4.99891	+	2.11256i	0.181688	+	0.0767822i	−0.296528	+	0.955024i	$0.595829\pi$
$758$	−7.05112	−	4.53148i	−0.256108	−	0.164591i
$759$	−37.9252	−	13.1454i	−1.37660	−	0.477147i
$760$	−1.06884	+	0.686904i	−0.0387710	+	0.0249166i
$761$	2.07553	−	0.359184i	0.0752378	−	0.0130204i	−0.132779	−	0.991146i	$-0.542390\pi$
$761$	2.07553	−	0.359184i	0.0752378	−	0.0130204i	0.208017	+	0.978125i	$0.433299\pi$
$762$	−0.0760504	−	0.885439i	−0.00275502	−	0.0320761i
$763$	−3.49682	+	40.7128i	−0.126594	+	1.47390i
$764$	−27.6526	−	4.78546i	−1.00043	−	0.173132i
$765$	3.53173	−	1.49252i	0.127690	−	0.0539623i
$766$	−9.58900	+	6.96682i	−0.346465	+	0.251721i
$767$	−19.6169	+	11.0781i	−0.708324	+	0.400009i
$768$	0.452435	+	15.8373i	0.0163258	+	0.571479i
$769$	41.5336	−	12.1954i	1.49774	−	0.439776i	0.572738	−	0.819738i	$-0.305881\pi$
$769$	41.5336	−	12.1954i	1.49774	−	0.439776i	0.925002	+	0.379962i	$0.124063\pi$
$770$	14.9013	+	27.6314i	0.537006	+	0.995765i
$771$	14.9913	+	4.40184i	0.539898	+	0.158528i
$772$	−2.86087	+	10.8839i	−0.102965	+	0.391719i
$773$	3.63406	−	17.9348i <

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)

\(f(q)\)	\(=\)	\(q+(2.04825 + 0.235014i) q^{2} +(1.13699 + 0.826074i) q^{3} +(2.19205 + 0.509740i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(2.13470 + 1.95921i) q^{6} +(3.19973 + 3.29244i) q^{7} +(0.486498 + 0.173582i) q^{8} +(-0.316695 - 0.974688i) q^{9} +O(q^{10})\)	\(q+(2.04825 + 0.235014i) q^{2} +(1.13699 + 0.826074i) q^{3} +(2.19205 + 0.509740i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(2.13470 + 1.95921i) q^{6} +(3.19973 + 3.29244i) q^{7} +(0.486498 + 0.173582i) q^{8} +(-0.316695 - 0.974688i) q^{9} +(-1.35012 + 1.55812i) q^{10} +(-1.40507 - 3.00430i) q^{11} +(2.07127 + 2.39037i) q^{12} +(-3.49573 + 5.79701i) q^{13} +(5.78005 + 7.49571i) q^{14} +(-1.32367 + 0.472284i) q^{15} +(-3.08359 - 1.51610i) q^{16} +(2.89622 - 2.36822i) q^{17} +(-0.419604 - 2.07083i) q^{18} +(2.45571 + 0.140422i) q^{19} +(-1.65807 + 1.52176i) q^{20} +(0.918268 + 6.38669i) q^{21} +(-2.17187 - 6.48375i) q^{22} +(1.22551 - 8.52363i) q^{23} +(0.409753 + 0.599245i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-8.52249 + 11.0522i) q^{26} +(1.74796 - 5.37968i) q^{27} +(5.33568 + 8.84824i) q^{28} +(0.459460 - 1.18011i) q^{29} +(-2.82219 + 0.656273i) q^{30} +(6.48495 + 2.74056i) q^{31} +(-6.82873 - 4.38856i) q^{32} +(0.884220 - 4.57655i) q^{33} +(6.48873 - 4.17005i) q^{34} +(-4.52388 + 0.782888i) q^{35} +(-0.197376 - 2.29800i) q^{36} +(0.343037 - 3.99391i) q^{37} +(4.99689 + 0.864746i) q^{38} +(-8.76338 + 3.70343i) q^{39} +(-0.417888 + 0.303613i) q^{40} +(-10.3687 + 5.85550i) q^{41} +(0.379874 + 13.2973i) q^{42} +(-0.574218 + 0.168606i) q^{43} +(-1.54857 - 7.30180i) q^{44} +(0.983335 + 0.288733i) q^{45} +(4.51332 - 17.1705i) q^{46} +(-0.685099 + 3.38110i) q^{47} +(-2.25361 - 4.27107i) q^{48} +(-0.402024 + 14.0727i) q^{49} +(-0.524118 - 1.99395i) q^{50} +(5.24931 - 0.300166i) q^{51} +(-10.6178 + 10.9255i) q^{52} +(6.30332 - 3.09913i) q^{53} +(4.84456 - 10.6081i) q^{54} +(3.27304 + 0.535912i) q^{55} +(0.985151 + 2.15718i) q^{56} +(2.67612 + 2.18826i) q^{57} +(1.21843 - 2.30918i) q^{58} +(2.89785 + 1.63649i) q^{59} +(-3.14230 + 0.360545i) q^{60} +(-3.74864 + 0.430117i) q^{61} +(12.6387 + 7.13740i) q^{62} +(2.19576 - 4.16144i) q^{63} +(-7.63541 - 6.24344i) q^{64} +(-2.81213 - 6.15771i) q^{65} +(2.88666 - 9.16610i) q^{66} +(-2.60973 + 5.71450i) q^{67} +(7.55584 - 3.71496i) q^{68} +(8.43455 - 8.67894i) q^{69} +(-9.45001 + 0.540371i) q^{70} +(-2.30565 - 8.77160i) q^{71} +(0.0151168 - 0.529157i) q^{72} +(2.88091 + 5.45993i) q^{73} +(1.64125 - 8.09989i) q^{74} +(0.357279 - 1.35923i) q^{75} +(5.31147 + 1.55959i) q^{76} +(5.39564 - 14.2390i) q^{77} +(-18.8199 + 5.52602i) q^{78} +(-0.137885 - 4.82662i) q^{79} +(2.99201 - 1.68967i) q^{80} +(3.94407 - 2.86554i) q^{81} +(-22.6139 + 9.55670i) q^{82} +(-8.20460 - 1.41986i) q^{83} +(-1.24266 + 14.4681i) q^{84} +(0.320153 + 3.72747i) q^{85} +(-1.21576 + 0.210396i) q^{86} +(1.49726 - 0.962232i) q^{87} +(-0.162069 - 1.70548i) q^{88} +(-1.01469 - 0.652099i) q^{89} +(1.94625 + 0.822494i) q^{90} +(-30.2717 + 7.03938i) q^{91} +(7.03123 - 18.0596i) q^{92} +(5.10944 + 8.47305i) q^{93} +(-2.19786 + 6.76431i) q^{94} +(-1.50202 + 1.94786i) q^{95} +(-4.13894 - 10.6308i) q^{96} +(-3.18774 - 4.66192i) q^{97} +(-4.13072 + 28.7298i) q^{98} +(-2.48327 + 2.32095i) 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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