LMFDB - Embedded newform 804.2.bd.a.35.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [804,2,Mod(23,804)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(804, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([33, 33, 28]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("804.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 804 = 2^{2} \cdot 3 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	804.bd (of order $66$, degree $20$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$6.41997232251$
Analytic rank:	$0$
Dimension:	$2640$
Relative dimension:	$132$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			35.7
Character	$\chi$	$=$	804.35
Dual form			804.2.bd.a.23.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39851 + 0.210199i) q^{2} +(1.49247 - 0.878932i) q^{3} +(1.91163 - 0.587929i) q^{4} +(1.84970 + 0.844728i) q^{5} +(-1.90248 + 1.54291i) q^{6} +(-2.22048 + 2.32877i) q^{7} +(-2.54985 + 1.22405i) q^{8} +(1.45496 - 2.62357i) q^{9} +O(q^{10})$	\(q+(-1.39851 + 0.210199i) q^{2} +(1.49247 - 0.878932i) q^{3} +(1.91163 - 0.587929i) q^{4} +(1.84970 + 0.844728i) q^{5} +(-1.90248 + 1.54291i) q^{6} +(-2.22048 + 2.32877i) q^{7} +(-2.54985 + 1.22405i) q^{8} +(1.45496 - 2.62357i) q^{9} +(-2.76437 - 0.792551i) q^{10} +(-5.66494 + 0.540936i) q^{11} +(2.33631 - 2.55766i) q^{12} +(1.43368 - 0.276319i) q^{13} +(2.61584 - 3.72354i) q^{14} +(3.50308 - 0.365022i) q^{15} +(3.30868 - 2.24781i) q^{16} +(2.25848 + 4.38084i) q^{17} +(-1.48330 + 3.97490i) q^{18} +(5.85505 + 6.14060i) q^{19} +(4.03258 + 0.527319i) q^{20} +(-1.26718 + 5.42728i) q^{21} +(7.80874 - 1.94727i) q^{22} +(7.14970 + 2.86231i) q^{23} +(-2.72973 + 4.06800i) q^{24} +(-0.566495 - 0.653770i) q^{25} +(-1.94693 + 0.687792i) q^{26} +(-0.134447 - 5.19441i) q^{27} +(-2.87559 + 5.75724i) q^{28} +(0.448574 - 0.258984i) q^{29} +(-4.82235 + 1.24683i) q^{30} +(-1.08647 + 5.63715i) q^{31} +(-4.15472 + 3.83905i) q^{32} +(-7.97933 + 5.78643i) q^{33} +(-4.07935 - 5.65190i) q^{34} +(-6.07439 + 2.43182i) q^{35} +(1.23887 - 5.87071i) q^{36} +(3.45141 - 5.97802i) q^{37} +(-9.47907 - 7.35694i) q^{38} +(1.89687 - 1.67251i) q^{39} +(-5.75042 + 0.110187i) q^{40} +(9.17731 + 0.437169i) q^{41} +(0.631343 - 7.85644i) q^{42} +(-0.737434 + 1.14747i) q^{43} +(-10.5113 + 4.36466i) q^{44} +(4.90743 - 3.62375i) q^{45} +(-10.6005 - 2.50009i) q^{46} +(5.37460 - 4.22663i) q^{47} +(2.96245 - 6.26290i) q^{48} +(-0.159575 - 3.34990i) q^{49} +(0.929668 + 0.795224i) q^{50} +(7.22119 + 4.55324i) q^{51} +(2.57821 - 1.37112i) q^{52} +(0.952628 + 1.48232i) q^{53} +(1.27989 + 7.23615i) q^{54} +(-10.9354 - 3.78476i) q^{55} +(2.81135 - 8.65597i) q^{56} +(14.1357 + 4.01850i) q^{57} +(-0.572894 + 0.456480i) q^{58} +(-2.95889 + 3.41474i) q^{59} +(6.48200 - 2.75735i) q^{60} +(-5.41073 - 0.516663i) q^{61} +(0.334512 - 8.11196i) q^{62} +(2.87898 + 9.21383i) q^{63} +(5.00342 - 6.24226i) q^{64} +(2.88529 + 0.699963i) q^{65} +(9.94283 - 9.76960i) q^{66} +(-8.01598 - 1.65653i) q^{67} +(6.89301 + 7.04673i) q^{68} +(13.1865 - 2.01218i) q^{69} +(7.98389 - 4.67774i) q^{70} +(-4.77831 - 2.46339i) q^{71} +(-0.498555 + 8.47062i) q^{72} +(-11.5692 - 1.10473i) q^{73} +(-3.57024 + 9.08577i) q^{74} +(-1.42010 - 0.477825i) q^{75} +(14.8029 + 8.29622i) q^{76} +(11.3192 - 14.3935i) q^{77} +(-2.30122 + 2.73773i) q^{78} +(-8.67557 - 3.00264i) q^{79} +(8.01883 - 1.36283i) q^{80} +(-4.76619 - 7.63436i) q^{81} +(-12.9264 + 1.31768i) q^{82} +(3.55301 + 4.98951i) q^{83} +(0.768481 + 11.1200i) q^{84} +(0.476884 + 10.0110i) q^{85} +(0.790108 - 1.75975i) q^{86} +(0.441855 - 0.780793i) q^{87} +(13.7826 - 8.31345i) q^{88} +(-3.47539 - 0.499686i) q^{89} +(-6.10135 + 6.09938i) q^{90} +(-2.53997 + 3.95227i) q^{91} +(15.3504 + 1.26816i) q^{92} +(3.33314 + 9.36824i) q^{93} +(-6.62797 + 7.04070i) q^{94} +(5.64293 + 16.3042i) q^{95} +(-2.82654 + 9.38140i) q^{96} +(-3.99232 + 6.91491i) q^{97} +(0.927313 + 4.65131i) q^{98} +(-6.82307 + 15.6494i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9}+O(q^{10}) $ 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9	$ 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9} - 46 q^{10} - 24 q^{12} - 88 q^{13} - 26 q^{16} - 23 q^{18} - 128 q^{22} - 22 q^{24} + 160 q^{25} + 44 q^{28} - 18 q^{30} - 44 q^{33} - 6 q^{34} - 35 q^{36} - 48 q^{37} - 92 q^{40} - 10 q^{42} + 40 q^{45} + 46 q^{46} - 11 q^{48} - 216 q^{49} - 76 q^{52} + 129 q^{54} - 42 q^{57} - 56 q^{58} - 90 q^{60} - 80 q^{61} - 48 q^{64} - 74 q^{66} - 4 q^{69} + 96 q^{70} - 20 q^{72} - 216 q^{73} + 76 q^{76} - 66 q^{78} - 16 q^{81} + 20 q^{82} - 55 q^{84} - 104 q^{85} - 30 q^{88} - 64 q^{90} - 192 q^{93} - 32 q^{94} - 205 q^{96} - 64 q^{97}+O(q^{100}) $ 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9 - 46 * q^10 - 24 * q^12 - 88 * q^13 - 26 * q^16 - 23 * q^18 - 128 * q^22 - 22 * q^24 + 160 * q^25 + 44 * q^28 - 18 * q^30 - 44 * q^33 - 6 * q^34 - 35 * q^36 - 48 * q^37 - 92 * q^40 - 10 * q^42 + 40 * q^45 + 46 * q^46 - 11 * q^48 - 216 * q^49 - 76 * q^52 + 129 * q^54 - 42 * q^57 - 56 * q^58 - 90 * q^60 - 80 * q^61 - 48 * q^64 - 74 * q^66 - 4 * q^69 + 96 * q^70 - 20 * q^72 - 216 * q^73 + 76 * q^76 - 66 * q^78 - 16 * q^81 + 20 * q^82 - 55 * q^84 - 104 * q^85 - 30 * q^88 - 64 * q^90 - 192 * q^93 - 32 * q^94 - 205 * q^96 - 64 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/804\mathbb{Z}\right)^\times$.

$n$	$269$	$337$	$403$
$\chi(n)$	$-1$	$e\left(\frac{19}{33}\right)$	$-1$

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 $

$2$	−1.39851	+	0.210199i	−0.988892	+	0.148633i
$2$	−1.39851	+	0.210199i	−0.988892	+	0.148633i
$3$	1.49247	−	0.878932i	0.861680	−	0.507451i
$3$	1.49247	−	0.878932i	0.861680	−	0.507451i
$4$	1.91163	−	0.587929i	0.955816	−	0.293965i
$5$	1.84970	+	0.844728i	0.827209	+	0.377774i	0.783593	−	0.621275i	$-0.213385\pi$
$5$	1.84970	+	0.844728i	0.827209	+	0.377774i	0.0436161	+	0.999048i	$0.486112\pi$
$6$	−1.90248	+	1.54291i	−0.776685	+	0.629889i
$7$	−2.22048	+	2.32877i	−0.839262	+	0.880193i	−0.994180	−	0.107735i	$-0.965640\pi$
$7$	−2.22048	+	2.32877i	−0.839262	+	0.880193i	0.154918	+	0.987927i	$0.450489\pi$
$8$	−2.54985	+	1.22405i	−0.901507	+	0.432766i
$9$	1.45496	−	2.62357i	0.484986	−	0.874522i
$10$	−2.76437	−	0.792551i	−0.874170	−	0.250627i
$11$	−5.66494	+	0.540936i	−1.70804	+	0.163098i	−0.902862	−	0.429930i	$-0.858538\pi$
$11$	−5.66494	+	0.540936i	−1.70804	+	0.163098i	−0.805181	+	0.593029i	$0.797932\pi$
$12$	2.33631	−	2.55766i	0.674435	−	0.738334i
$13$	1.43368	−	0.276319i	0.397631	−	0.0766372i	0.0134843	−	0.999909i	$-0.495708\pi$
$13$	1.43368	−	0.276319i	0.397631	−	0.0766372i	0.384147	+	0.923272i	$0.374496\pi$
$14$	2.61584	−	3.72354i	0.699114	−	0.995158i
$15$	3.50308	−	0.365022i	0.904491	−	0.0942482i
$16$	3.30868	−	2.24781i	0.827170	−	0.561952i
$17$	2.25848	+	4.38084i	0.547762	+	1.06251i	0.986479	+	0.163885i	$0.0524027\pi$
$17$	2.25848	+	4.38084i	0.547762	+	1.06251i	−0.438717	+	0.898625i	$0.644567\pi$
$18$	−1.48330	+	3.97490i	−0.349616	+	0.936893i
$19$	5.85505	+	6.14060i	1.34324	+	1.40875i	0.837892	+	0.545836i	$0.183788\pi$
$19$	5.85505	+	6.14060i	1.34324	+	1.40875i	0.505349	+	0.862915i	$0.331364\pi$
$20$	4.03258	+	0.527319i	0.901712	+	0.117912i
$21$	−1.26718	+	5.42728i	−0.276521	+	1.18433i
$22$	7.80874	−	1.94727i	1.66483	−	0.415159i
$23$	7.14970	+	2.86231i	1.49081	+	0.596832i	0.966949	−	0.254969i	$-0.0820651\pi$
$23$	7.14970	+	2.86231i	1.49081	+	0.596832i	0.523866	+	0.851801i	$0.324489\pi$
$24$	−2.72973	+	4.06800i	−0.557203	+	0.830376i
$25$	−0.566495	−	0.653770i	−0.113299	−	0.130754i
$26$	−1.94693	+	0.687792i	−0.381824	+	0.134887i
$27$	−0.134447	−	5.19441i	−0.0258743	−	0.999665i
$28$	−2.87559	+	5.75724i	−0.543435	+	1.08802i
$29$	0.448574	−	0.258984i	0.0832980	−	0.0480921i	−0.457772	−	0.889069i	$-0.651353\pi$
$29$	0.448574	−	0.258984i	0.0832980	−	0.0480921i	0.541070	+	0.840977i	$0.318019\pi$
$30$	−4.82235	+	1.24683i	−0.880436	+	0.227639i
$31$	−1.08647	+	5.63715i	−0.195136	+	1.01246i	0.743808	+	0.668393i	$0.233018\pi$
$31$	−1.08647	+	5.63715i	−0.195136	+	1.01246i	−0.938944	+	0.344069i	$0.888194\pi$
$32$	−4.15472	+	3.83905i	−0.734457	+	0.678655i
$33$	−7.97933	+	5.78643i	−1.38902	+	1.00729i
$34$	−4.07935	−	5.65190i	−0.699602	−	0.969293i
$35$	−6.07439	+	2.43182i	−1.02676	+	0.411052i
$36$	1.23887	−	5.87071i	0.206479	−	0.978451i
$37$	3.45141	−	5.97802i	0.567408	−	0.982780i	−0.429413	−	0.903108i	$-0.641279\pi$
$37$	3.45141	−	5.97802i	0.567408	−	0.982780i	0.996821	−	0.0796718i	$-0.0253872\pi$
$38$	−9.47907	−	7.35694i	−1.53771	−	1.19345i
$39$	1.89687	−	1.67251i	0.303741	−	0.267815i
$40$	−5.75042	+	0.110187i	−0.909222	+	0.0174221i
$41$	9.17731	+	0.437169i	1.43326	+	0.0682744i	0.749774	−	0.661694i	$-0.230162\pi$
$41$	9.17731	+	0.437169i	1.43326	+	0.0682744i	0.683481	+	0.729968i	$0.260465\pi$
$42$	0.631343	−	7.85644i	0.0974183	−	1.21227i
$43$	−0.737434	+	1.14747i	−0.112458	+	0.174988i	−0.892920	−	0.450215i	$-0.851347\pi$
$43$	−0.737434	+	1.14747i	−0.112458	+	0.174988i	0.780462	+	0.625203i	$0.214984\pi$
$44$	−10.5113	+	4.36466i	−1.58463	+	0.657997i
$45$	4.90743	−	3.62375i	0.731556	−	0.540197i
$46$	−10.6005	−	2.50009i	−1.56296	−	0.368618i
$47$	5.37460	−	4.22663i	0.783966	−	0.616517i	−0.143832	−	0.989602i	$-0.545942\pi$
$47$	5.37460	−	4.22663i	0.783966	−	0.616517i	0.927797	+	0.373085i	$0.121700\pi$
$48$	2.96245	−	6.26290i	0.427592	−	0.903972i
$49$	−0.159575	−	3.34990i	−0.0227965	−	0.478557i
$50$	0.929668	+	0.795224i	0.131475	+	0.112462i
$51$	7.22119	+	4.55324i	1.01117	+	0.637582i
$52$	2.57821	−	1.37112i	0.357534	−	0.190141i
$53$	0.952628	+	1.48232i	0.130854	+	0.203612i	0.900497	−	0.434861i	$-0.143203\pi$
$53$	0.952628	+	1.48232i	0.130854	+	0.203612i	−0.769644	+	0.638473i	$0.779566\pi$
$54$	1.27989	+	7.23615i	0.174170	+	0.984716i
$55$	−10.9354	−	3.78476i	−1.47452	−	0.510337i
$56$	2.81135	−	8.65597i	0.375683	−	1.15670i
$57$	14.1357	+	4.01850i	1.87232	+	0.532263i
$58$	−0.572894	+	0.456480i	−0.0752247	+	0.0599388i
$59$	−2.95889	+	3.41474i	−0.385215	+	0.444562i	−0.914929	−	0.403614i	$-0.867754\pi$
$59$	−2.95889	+	3.41474i	−0.385215	+	0.444562i	0.529714	+	0.848176i	$0.322299\pi$
$60$	6.48200	−	2.75735i	0.836822	−	0.355972i
$61$	−5.41073	−	0.516663i	−0.692774	−	0.0661519i	−0.257271	−	0.966339i	$-0.582823\pi$
$61$	−5.41073	−	0.516663i	−0.692774	−	0.0661519i	−0.435503	+	0.900187i	$0.643429\pi$
$62$	0.334512	−	8.11196i	0.0424830	−	1.03022i
$63$	2.87898	+	9.21383i	0.362717	+	1.16083i
$64$	5.00342	−	6.24226i	0.625428	−	0.780282i
$65$	2.88529	+	0.699963i	0.357876	+	0.0868197i
$66$	9.94283	−	9.76960i	1.22388	−	1.20255i
$67$	−8.01598	−	1.65653i	−0.979308	−	0.202377i
$67$	−8.01598	−	1.65653i	−0.979308	−	0.202377i
$68$	6.89301	+	7.04673i	0.835901	+	0.854542i
$69$	13.1865	−	2.01218i	1.58747	−	0.242238i
$70$	7.98389	−	4.67774i	0.954258	−	0.559097i
$71$	−4.77831	−	2.46339i	−0.567081	−	0.292351i	0.150745	−	0.988573i	$-0.451833\pi$
$71$	−4.77831	−	2.46339i	−0.567081	−	0.292351i	−0.717827	+	0.696222i	$0.754863\pi$
$72$	−0.498555	+	8.47062i	−0.0587552	+	0.998272i
$73$	−11.5692	−	1.10473i	−1.35407	−	0.129298i	−0.607351	−	0.794433i	$-0.707768\pi$
$73$	−11.5692	−	1.10473i	−1.35407	−	0.129298i	−0.746723	+	0.665135i	$0.768374\pi$
$74$	−3.57024	+	9.08577i	−0.415032	+	1.05620i
$75$	−1.42010	−	0.477825i	−0.163979	−	0.0551744i
$76$	14.8029	+	8.29622i	1.69801	+	0.951642i
$77$	11.3192	−	14.3935i	1.28994	−	1.64029i
$78$	−2.30122	+	2.73773i	−0.260561	+	0.309987i
$79$	−8.67557	−	3.00264i	−0.976078	−	0.337824i	−0.207964	−	0.978137i	$-0.566684\pi$
$79$	−8.67557	−	3.00264i	−0.976078	−	0.337824i	−0.768114	+	0.640313i	$0.778805\pi$
$80$	8.01883	−	1.36283i	0.896533	−	0.152369i
$81$	−4.76619	−	7.63436i	−0.529577	−	0.848262i
$82$	−12.9264	+	1.31768i	−1.42748	+	0.145513i
$83$	3.55301	+	4.98951i	0.389994	+	0.547670i	0.962166	−	0.272464i	$-0.0878385\pi$
$83$	3.55301	+	4.98951i	0.389994	+	0.547670i	−0.572172	+	0.820134i	$0.693899\pi$
$84$	0.768481	+	11.1200i	0.0838481	+	1.21329i
$85$	0.476884	+	10.0110i	0.0517253	+	1.08585i
$86$	0.790108	−	1.75975i	0.0851996	−	0.189759i
$87$	0.441855	−	0.780793i	0.0473719	−	0.0837098i
$88$	13.7826	−	8.31345i	1.46923	−	0.886217i
$89$	−3.47539	−	0.499686i	−0.368391	−	0.0529666i	−0.0443664	−	0.999015i	$-0.514127\pi$
$89$	−3.47539	−	0.499686i	−0.368391	−	0.0529666i	−0.324024	+	0.946049i	$0.605036\pi$
$90$	−6.10135	+	6.09938i	−0.643139	+	0.642931i
$91$	−2.53997	+	3.95227i	−0.266261	+	0.414311i
$92$	15.3504	+	1.26816i	1.60039	+	0.132215i
$93$	3.33314	+	9.36824i	0.345631	+	0.971441i
$94$	−6.62797	+	7.04070i	−0.683623	+	0.726193i
$95$	5.64293	+	16.3042i	0.578952	+	1.67277i
$96$	−2.82654	+	9.38140i	−0.288482	+	0.957485i
$97$	−3.99232	+	6.91491i	−0.405359	+	0.702102i	−0.994363	−	0.106028i	$-0.966187\pi$
$97$	−3.99232	+	6.91491i	−0.405359	+	0.702102i	0.589004	+	0.808130i	$0.299520\pi$
$98$	0.927313	+	4.65131i	0.0936728	+	0.469853i
$99$	−6.82307	+	15.6494i	−0.685744	+	1.57282i
$100$	−1.46730	−	0.916709i	−0.146730	−	0.0916709i
$101$	0.607243	−	0.147316i	0.0604230	−	0.0146585i	−0.205434	−	0.978671i	$-0.565860\pi$
$101$	0.607243	−	0.147316i	0.0604230	−	0.0146585i	0.265856	+	0.964013i	$0.414345\pi$
$102$	−11.0560	−	4.84985i	−1.09470	−	0.480206i
$103$	2.17947	−	11.3082i	0.214750	−	1.11423i	−0.701210	−	0.712955i	$-0.747356\pi$
$103$	2.17947	−	11.3082i	0.214750	−	1.11423i	0.915959	−	0.401271i	$-0.131432\pi$
$104$	−3.31744	+	2.45946i	−0.325301	+	0.241170i
$105$	−6.92846	+	8.96839i	−0.676149	+	0.875226i
$106$	−1.64384	−	1.87279i	−0.159664	−	0.181901i
$107$	−2.43948	−	5.34171i	−0.235833	−	0.516402i	0.754301	−	0.656529i	$-0.227976\pi$
$107$	−2.43948	−	5.34171i	−0.235833	−	0.516402i	−0.990134	+	0.140127i	$0.955249\pi$
$108$	−3.31096	−	9.85076i	−0.318597	−	0.947890i
$109$	5.81307	+	6.70864i	0.556791	+	0.642571i	0.962452	−	0.271452i	$-0.0875040\pi$
$109$	5.81307	+	6.70864i	0.556791	+	0.642571i	−0.405661	+	0.914024i	$0.632959\pi$
$110$	16.0887	+	2.99441i	1.53400	+	0.285506i
$111$	−0.103128	−	11.9556i	−0.00978851	−	1.13477i
$112$	−2.11222	+	12.6964i	−0.199586	+	1.19969i
$113$	8.22996	+	5.86053i	0.774209	+	0.551312i	0.897477	−	0.441062i	$-0.145398\pi$
$113$	8.22996	+	5.86053i	0.774209	+	0.551312i	−0.123268	+	0.992373i	$0.539337\pi$
$114$	−20.6135	−	2.64858i	−1.93063	−	0.248062i
$115$	10.8069	+	11.3339i	1.00775	+	1.05690i
$116$	0.705244	−	0.758812i	0.0654802	−	0.0704539i
$117$	1.36100	−	4.16339i	0.125825	−	0.384905i
$118$	3.42025	−	5.39749i	0.314860	−	0.496880i
$119$	−15.2169	−	4.46808i	−1.39493	−	0.409588i
$120$	−8.48551	+	5.21868i	−0.774618	+	0.476398i
$121$	20.9977	−	4.04698i	1.90888	−	0.367907i
$122$	7.67554	−	0.414777i	0.694911	−	0.0375522i
$123$	14.0811	−	7.41377i	1.26965	−	0.668477i
$124$	1.23731	+	11.4149i	0.111114	+	1.02509i
$125$	−3.36004	−	11.4432i	−0.300531	−	1.02351i
$126$	−5.96301	−	12.2804i	−0.531227	−	1.09403i
$127$	13.5546	−	14.2157i	1.20278	−	1.26144i	0.246445	−	0.969157i	$-0.420738\pi$
$127$	13.5546	−	14.2157i	1.20278	−	1.26144i	0.956333	−	0.292280i	$-0.0944140\pi$
$128$	−5.68520	+	9.78154i	−0.502505	+	0.864574i
$129$	−0.0920538	+	2.36072i	−0.00810489	+	0.207850i
$130$	−4.18222	−	0.372417i	−0.366805	−	0.0326631i
$131$	−0.784231	−	5.45445i	−0.0685186	−	0.476557i	−0.994972	−	0.100149i	$-0.968068\pi$
$131$	−0.784231	−	5.45445i	−0.0685186	−	0.476557i	0.926454	−	0.376408i	$-0.122841\pi$
$132$	−11.8515	+	15.7528i	−1.03154	+	1.37111i
$133$	−27.3011			−2.36730
$134$	11.5586	+	0.631708i	0.998510	+	0.0545713i
$135$	4.13918	−	9.72165i	0.356244	−	0.836707i
$136$	−11.1211	−	8.40599i	−0.953629	−	0.720807i
$137$	7.34569	−	1.05615i	0.627585	−	0.0902331i	0.178818	−	0.983882i	$-0.442773\pi$
$137$	7.34569	−	1.05615i	0.627585	−	0.0902331i	0.448766	+	0.893649i	$0.351864\pi$
$138$	−18.0184	+	5.58583i	−1.53383	+	0.475498i
$139$	−1.27718	−	0.583270i	−0.108329	−	0.0494723i	0.360513	−	0.932754i	$-0.382602\pi$
$139$	−1.27718	−	0.583270i	−0.108329	−	0.0494723i	−0.468843	+	0.883282i	$0.655329\pi$
$140$	−10.1823	+	8.22005i	−0.860558	+	0.694721i
$141$	4.30653	−	11.0320i	0.362675	−	0.929065i
$142$	7.20030	+	2.44067i	0.604235	+	0.204816i
$143$	−7.97224	+	2.34086i	−0.666672	+	0.195753i
$144$	−1.08329	−	11.9510i	−0.0902739	−	0.995917i
$145$	1.04850	−	0.100119i	0.0870728	−	0.00831445i
$146$	16.4118	−	0.886875i	1.35825	−	0.0733983i
$147$	−3.18249	−	4.85938i	−0.262488	−	0.400795i
$148$	3.08318	−	13.4570i	0.253436	−	1.10616i
$149$	0.332902	−	1.13376i	0.0272724	−	0.0928812i	−0.944732	−	0.327843i	$-0.893678\pi$
$149$	0.332902	−	1.13376i	0.0272724	−	0.0928812i	0.972005	+	0.234962i	$0.0754965\pi$
$150$	2.08645	+	0.369737i	0.170358	+	0.0301889i
$151$	2.31190	+	4.48446i	0.188140	+	0.364941i	0.963974	−	0.265996i	$-0.0857009\pi$
$151$	2.31190	+	4.48446i	0.188140	+	0.364941i	−0.775834	+	0.630937i	$0.782671\pi$
$152$	−22.4459	−	8.49074i	−1.82060	−	0.688690i
$153$	14.7794	+	0.448670i	1.19485	+	0.0362728i
$154$	−12.8044	+	22.5086i	−1.03181	+	1.81380i
$155$	−6.77150	+	9.50924i	−0.543900	+	0.763801i
$156$	2.64279	−	4.31244i	0.211593	−	0.345272i
$157$	4.84348	+	1.93904i	0.386552	+	0.154752i	0.556795	−	0.830650i	$-0.312031\pi$
$157$	4.84348	+	1.93904i	0.386552	+	0.154752i	−0.170243	+	0.985402i	$0.554455\pi$
$158$	12.7640	+	2.37561i	1.01545	+	0.188994i
$159$	2.72463	+	1.37503i	0.216077	+	0.109047i
$160$	−10.9279	+	3.59148i	−0.863927	+	0.283931i
$161$	−22.5414	+	10.2943i	−1.77651	+	0.811306i
$162$	8.27028	+	9.67484i	0.649775	+	0.760127i
$163$	−4.18475	+	2.41607i	−0.327775	+	0.189241i	−0.654853	−	0.755756i	$-0.727269\pi$
$163$	−4.18475	+	2.41607i	−0.327775	+	0.189241i	0.327078	+	0.944997i	$0.393936\pi$
$164$	17.8007	−	4.55990i	1.39000	−	0.356069i
$165$	−19.6473	+	3.96277i	−1.52954	+	0.308501i
$166$	−6.01770	−	6.23101i	−0.467064	−	0.483620i
$167$	−5.10148	−	21.0286i	−0.394764	−	1.62724i	−0.728833	−	0.684691i	$-0.759937\pi$
$167$	−5.10148	−	21.0286i	−0.394764	−	1.62724i	0.334069	−	0.942549i	$-0.391578\pi$
$168$	−3.41213	−	15.3898i	−0.263252	−	1.18735i
$169$	−10.0897	+	4.03931i	−0.776130	+	0.310716i
$170$	−2.77123	−	13.9002i	−0.212544	−	1.06610i
$171$	24.6291	−	6.42679i	1.88344	−	0.491469i
$172$	−0.735072	+	2.62710i	−0.0560487	+	0.200315i
$173$	−19.5295	+	6.75924i	−1.48480	+	0.513896i	−0.944766	−	0.327745i	$-0.893711\pi$
$173$	−19.5295	+	6.75924i	−1.48480	+	0.513896i	−0.540038	+	0.841641i	$0.681590\pi$
$174$	−0.453815	+	1.18482i	−0.0344036	+	0.0898210i
$175$	2.78037	+	0.132445i	0.210176	+	0.0100119i
$176$	−17.5275	+	14.5235i	−1.32119	+	1.09475i
$177$	−1.41474	+	7.69708i	−0.106339	+	0.578548i
$178$	4.96539	−	0.0317114i	0.372171	−	0.00237687i
$179$	−2.21807	+	15.4270i	−0.165787	+	1.15307i	0.721689	+	0.692217i	$0.243366\pi$
$179$	−2.21807	+	15.4270i	−0.165787	+	1.15307i	−0.887476	+	0.460854i	$0.847543\pi$
$180$	7.25069	−	9.81251i	0.540434	−	0.731381i
$181$	17.3850	−	13.6717i	1.29222	−	1.01621i	0.294046	−	0.955791i	$-0.404998\pi$
$181$	17.3850	−	13.6717i	1.29222	−	1.01621i	0.998173	−	0.0604211i	$-0.0192444\pi$
$182$	2.72140	−	6.06117i	0.201723	−	0.449284i
$183$	−8.52949	+	3.98456i	−0.630518	+	0.294547i
$184$	−21.7342	+	1.45312i	−1.60227	+	0.107125i
$185$	11.4339	−	8.14201i	0.840634	−	0.598613i
$186$	−6.63061	−	12.4009i	−0.486180	−	0.909279i
$187$	−15.1639	−	23.5955i	−1.10890	−	1.72547i
$188$	7.78930	−	11.2396i	0.568093	−	0.819735i
$189$	12.3951	+	11.2210i	0.901613	+	0.816207i
$190$	−11.3188	−	21.6153i	−0.821151	−	1.56814i
$191$	0.474577	+	0.373211i	0.0343392	+	0.0270046i	0.635181	−	0.772363i	$-0.280925\pi$
$191$	0.474577	+	0.373211i	0.0343392	+	0.0270046i	−0.600842	+	0.799368i	$0.705168\pi$
$192$	1.98097	−	13.7141i	0.142964	−	0.989728i
$193$	12.1170	−	13.9837i	0.872199	−	1.00657i	−0.127692	−	0.991814i	$-0.540757\pi$
$193$	12.1170	−	13.9837i	0.872199	−	1.00657i	0.999891	−	0.0147574i	$-0.00469760\pi$
$194$	4.12978	−	10.5097i	0.296501	−	0.754554i
$195$	4.92143	−	1.49129i	0.352431	−	0.106794i
$196$	−2.27455	−	6.30996i	−0.162468	−	0.450711i
$197$	2.01220	−	3.90313i	0.143363	−	0.278086i	−0.806211	−	0.591628i	$-0.798485\pi$
$197$	2.01220	−	3.90313i	0.143363	−	0.278086i	0.949574	+	0.313542i	$0.101516\pi$
$198$	6.25261	−	23.3199i	0.444354	−	1.65728i
$199$	−13.4671	−	3.26709i	−0.954658	−	0.231598i	−0.271969	−	0.962306i	$-0.587675\pi$
$199$	−13.4671	−	3.26709i	−0.954658	−	0.231598i	−0.682690	+	0.730708i	$0.739190\pi$
$200$	2.24472	+	0.973597i	0.158726	+	0.0688437i
$201$	−13.4196	+	4.57317i	−0.946547	+	0.322567i
$202$	−0.818267	+	0.333664i	−0.0575731	+	0.0234765i
$203$	−0.392933	+	1.61969i	−0.0275785	+	0.113680i
$204$	16.4812	+	4.45858i	1.15392	+	0.312163i
$205$	16.6059	+	8.56096i	1.15981	+	0.597923i
$206$	−0.671033	+	16.2726i	−0.0467531	+	1.13377i
$207$	17.9120	−	14.5932i	1.24497	−	1.01429i
$208$	4.12247	−	4.13689i	0.285842	−	0.286842i
$209$	−36.4902	−	31.6189i	−2.52408	−	2.18713i
$210$	7.80434	−	13.9987i	0.538551	−	0.966002i
$211$	−13.2015	+	16.7870i	−0.908827	+	1.15567i	0.0784917	+	0.996915i	$0.474990\pi$
$211$	−13.2015	+	16.7870i	−0.908827	+	1.15567i	−0.987318	+	0.158752i	$0.949253\pi$
$212$	2.69257	+	2.27357i	0.184927	+	0.156149i
$213$	−9.29666	+	0.523262i	−0.636997	+	0.0358533i
$214$	4.53444	+	6.95763i	0.309968	+	0.475614i
$215$	−2.33333	+	1.49954i	−0.159132	+	0.102268i
$216$	6.70102	+	13.0804i	0.455947	+	0.890007i
$217$	−10.7151	−	15.0473i	−0.727392	−	1.02148i
$218$	−9.53976	−	8.16017i	−0.646114	−	0.552676i
$219$	−18.2377	+	8.51978i	−1.23239	+	0.575713i
$220$	−23.1296	−	0.805861i	−1.55939	−	0.0543311i
$221$	4.44845	+	5.65667i	0.299235	+	0.380509i
$222$	2.65728	+	16.6983i	0.178345	+	1.12071i
$223$	0.304532	+	0.0437851i	0.0203930	+	0.00293207i	0.152504	−	0.988303i	$-0.451266\pi$
$223$	0.304532	+	0.0437851i	0.0203930	+	0.00293207i	−0.132111	+	0.991235i	$0.542175\pi$
$224$	0.285178	−	18.1999i	0.0190542	−	1.21603i
$225$	−2.53944	+	0.535029i	−0.169296	+	0.0356686i
$226$	−12.7415	−	6.46604i	−0.847553	−	0.430115i
$227$	0.0230040	−	0.482914i	0.00152683	−	0.0320521i	−0.997975	−	0.0636019i	$-0.979741\pi$
$227$	0.0230040	−	0.482914i	0.00152683	−	0.0320521i	0.999502	+	0.0315497i	$0.0100443\pi$
$228$	29.3848	−	0.628888i	1.94606	−	0.0416492i
$229$	−0.537916	−	1.55421i	−0.0355465	−	0.102705i	0.925831	−	0.377937i	$-0.123366\pi$
$229$	−0.537916	−	1.55421i	−0.0355465	−	0.102705i	−0.961378	+	0.275232i	$0.911245\pi$
$230$	−17.4959	−	13.5790i	−1.15364	−	0.895371i
$231$	4.24267	−	31.4307i	0.279147	−	2.06799i
$232$	−0.826785	+	1.20944i	−0.0542811	+	0.0794039i
$233$	−1.32069	−	3.29893i	−0.0865215	−	0.216120i	0.878797	−	0.477196i	$-0.158347\pi$
$233$	−1.32069	−	3.29893i	−0.0865215	−	0.216120i	−0.965318	+	0.261076i	$0.915923\pi$
$234$	−1.02823	+	6.10860i	−0.0672175	+	0.399332i
$235$	13.5117	−	3.27791i	0.881407	−	0.213827i
$236$	−3.64869	+	8.26736i	−0.237509	+	0.538159i
$237$	−15.5872	+	3.14386i	−1.01250	+	0.204216i
$238$	22.2201	+	3.05006i	1.44031	+	0.197706i
$239$	−6.31836	−	10.9437i	−0.408701	−	0.707891i	0.586044	−	0.810280i	$-0.300685\pi$
$239$	−6.31836	−	10.9437i	−0.408701	−	0.707891i	−0.994744	+	0.102389i	$0.967351\pi$
$240$	10.7701	−	9.08200i	0.695205	−	0.586240i
$241$	9.02787	+	19.7683i	0.581536	+	1.27339i	0.940423	+	0.340006i	$0.110429\pi$
$241$	9.02787	+	19.7683i	0.581536	+	1.27339i	−0.358887	+	0.933381i	$0.616844\pi$
$242$	−28.5147	+	10.0734i	−1.83300	+	0.647544i
$243$	−13.8235	−	7.20492i	−0.886778	−	0.462196i
$244$	−10.6471	+	2.19346i	−0.681611	+	0.140422i
$245$	2.53459	−	6.33109i	0.161929	−	0.404478i
$246$	−18.1342	+	13.3280i	−1.15619	+	0.849764i
$247$	10.0910	+	7.18580i	0.642077	+	0.457221i
$248$	−4.12980	−	15.7038i	−0.262242	−	0.997190i
$249$	9.68822	+	4.32386i	0.613966	+	0.274013i
$250$	7.10439	+	15.2971i	0.449321	+	0.967477i
$251$	11.1395	−	5.74280i	0.703117	−	0.362482i	−0.0693015	−	0.997596i	$-0.522077\pi$
$251$	11.1395	−	5.74280i	0.703117	−	0.362482i	0.772419	+	0.635114i	$0.219047\pi$
$252$	10.9206	+	15.9208i	0.687935	+	1.00292i
$253$	−42.0509	−	12.3473i	−2.64372	−	0.776266i
$254$	−15.9681	+	22.7299i	−1.00193	+	1.42620i
$255$	9.51074	+	14.5220i	0.595586	+	0.909406i
$256$	5.89470	−	14.8746i	0.368419	−	0.929660i
$257$	−0.995080	−	10.4210i	−0.0620714	−	0.650041i	−0.971953	−	0.235174i	$-0.924434\pi$
$257$	−0.995080	−	10.4210i	−0.0620714	−	0.650041i	0.909882	−	0.414867i	$-0.136172\pi$
$258$	−0.367485	−	3.32083i	−0.0228786	−	0.206746i
$259$	6.25765	+	21.3116i	0.388832	+	1.32424i
$260$	5.92714	−	0.358273i	0.367585	−	0.0222191i
$261$	−0.0268058	−	1.55367i	−0.00165924	−	0.0961700i
$262$	2.24327	+	7.46322i	0.138590	+	0.461080i
$263$	8.51102	−	18.6365i	0.524812	−	1.14918i	−0.442773	−	0.896634i	$-0.646005\pi$
$263$	8.51102	−	18.6365i	0.524812	−	1.14918i	0.967585	−	0.252545i	$-0.0812675\pi$
$264$	13.2632	−	24.5216i	0.816294	−	1.50920i
$265$	0.509917	+	3.54655i	0.0313239	+	0.217863i
$266$	38.1807	−	5.73866i	2.34101	−	0.351860i
$267$	−5.62612	+	2.30886i	−0.344313	+	0.141300i
$268$	−16.2975	+	1.54616i	−0.995530	+	0.0944467i
$269$			2.47340i			0.150806i	0.997153	+	0.0754030i	$0.0240243\pi$
$269$			2.47340i			0.150806i	−0.997153	+	0.0754030i	$0.975976\pi$
$270$	−3.74518	+	14.4658i	−0.227924	+	0.880363i
$271$	12.3379	−	1.77392i	0.749475	−	0.107758i	0.243016	−	0.970022i	$-0.421863\pi$
$271$	12.3379	−	1.77392i	0.749475	−	0.107758i	0.506459	+	0.862264i	$0.330954\pi$
$272$	17.3199	+	9.41816i	1.05017	+	0.571060i
$273$	−0.317064	+	8.13113i	−0.0191896	+	0.492118i
$274$	−10.0510	+	3.02109i	−0.607202	+	0.182511i
$275$	3.56281	+	3.39713i	0.214845	+	0.204855i
$276$	24.0247	−	11.5993i	1.44612	−	0.698194i
$277$	−11.0134	+	3.23382i	−0.661729	+	0.194301i	−0.595317	−	0.803491i	$-0.702973\pi$
$277$	−11.0134	+	3.23382i	−0.661729	+	0.194301i	−0.0664124	+	0.997792i	$0.521155\pi$
$278$	1.90875	+	0.547243i	0.114479	+	0.0328215i
$279$	13.2087	+	11.0523i	0.790782	+	0.661681i
$280$	12.5121	−	13.6361i	0.747740	−	0.814912i
$281$	4.86034	+	25.2178i	0.289943	+	1.50437i	0.776163	+	0.630532i	$0.217163\pi$
$281$	4.86034	+	25.2178i	0.289943	+	1.50437i	−0.486220	+	0.873837i	$0.661625\pi$
$282$	−3.70378	+	16.3336i	−0.220557	+	0.972651i
$283$	0.715648	−	2.43727i	0.0425409	−	0.144881i	−0.935484	−	0.353369i	$-0.885036\pi$
$283$	0.715648	−	2.43727i	0.0425409	−	0.144881i	0.978025	+	0.208488i	$0.0668542\pi$
$284$	−10.5827	−	1.89979i	−0.627966	−	0.112732i
$285$	22.7522	+	19.3738i	1.34772	+	1.14761i
$286$	10.6572	−	4.94946i	0.630172	−	0.292668i
$287$	−21.3961	+	20.4011i	−1.26297	+	1.20424i
$288$	4.02707	+	16.4858i	0.237298	+	0.971437i
$289$	−4.23008	+	5.94031i	−0.248828	+	0.349430i
$290$	−1.44528	+	0.360410i	−0.0848698	+	0.0211640i
$291$	0.119291	+	13.8293i	0.00699296	+	0.810688i
$292$	−22.7656	+	4.69005i	−1.33226	+	0.274465i
$293$	−4.49121	+	3.89166i	−0.262379	+	0.227353i	−0.776108	−	0.630599i	$-0.782809\pi$
$293$	−4.49121	+	3.89166i	−0.262379	+	0.227353i	0.513729	+	0.857952i	$0.328264\pi$
$294$	5.47217	+	6.12691i	0.319144	+	0.357329i
$295$	−8.35758	+	3.81678i	−0.486597	+	0.222221i
$296$	−1.48320	+	19.4677i	−0.0862090	+	1.13154i
$297$	3.57148	+	29.3533i	0.207238	+	1.70325i
$298$	−0.227250	+	1.65554i	−0.0131642	+	0.0959031i
$299$	11.0413	+	2.12803i	0.638534	+	0.123067i
$300$	−2.99563	−	0.0785076i	−0.172953	−	0.00453264i
$301$	−1.03474	−	4.26525i	−0.0596413	−	0.245845i
$302$	−4.17584	−	5.78559i	−0.240292	−	0.332923i
$303$	0.776814	−	0.753590i	0.0446268	−	0.0432926i
$304$	33.1754	+	7.15623i	1.90274	+	0.410438i
$305$	−9.57177	−	5.52627i	−0.548078	−	0.316433i
$306$	−20.7634	+	2.47916i	−1.18697	+	0.141724i
$307$	23.2959	−	8.06280i	1.32957	−	0.460168i	0.432331	−	0.901715i	$-0.357691\pi$
$307$	23.2959	−	8.06280i	1.32957	−	0.460168i	0.897238	+	0.441546i	$0.145570\pi$
$308$	13.1757	−	34.1699i	0.750757	−	1.94701i
$309$	−6.68630	−	18.7927i	−0.380370	−	1.06908i
$310$	7.47114	−	14.7221i	0.424332	−	0.836158i
$311$	−17.7601	−	11.4137i	−1.00708	−	0.647212i	−0.0704453	−	0.997516i	$-0.522442\pi$
$311$	−17.7601	−	11.4137i	−1.00708	−	0.647212i	−0.936636	+	0.350304i	$0.886078\pi$
$312$	−2.78949	+	6.58648i	−0.157924	+	0.372886i
$313$	2.12693	−	14.7931i	0.120221	−	0.836158i	−0.837083	−	0.547076i	$-0.815741\pi$
$313$	2.12693	−	14.7931i	0.120221	−	0.836158i	0.957304	−	0.289082i	$-0.0933500\pi$
$314$	−7.18122	−	1.69366i	−0.405260	−	0.0955787i
$315$	−2.45795	+	19.4747i	−0.138490	+	1.09728i
$316$	−18.3498	−	0.639330i	−1.03226	−	0.0359651i
$317$	−12.2495	+	0.583517i	−0.688002	+	0.0327736i	−0.388672	−	0.921376i	$-0.627066\pi$
$317$	−12.2495	+	0.583517i	−0.688002	+	0.0327736i	−0.299330	+	0.954150i	$0.596763\pi$
$318$	−4.09944	−	1.35027i	−0.229885	−	0.0757192i
$319$	−2.40105	+	1.70978i	−0.134433	+	0.0957292i
$320$	14.5278	−	7.31974i	0.812130	−	0.409186i
$321$	−8.33585	−	5.82823i	−0.465262	−	0.325300i
$322$	29.3604	−	19.1348i	1.63619	−	1.06634i
$323$	−13.6775	+	39.5185i	−0.761036	+	2.19887i
$324$	−13.5997	−	11.7919i	−0.755537	−	0.655106i
$325$	−0.992822	−	0.780764i	−0.0550719	−	0.0433090i
$326$	5.34454	−	4.25851i	0.296007	−	0.235857i
$327$	14.5723	+	4.90318i	0.805850	+	0.271147i
$328$	−23.9358	+	10.1187i	−1.32164	+	0.558714i
$329$	−2.09132	+	21.9013i	−0.115298	+	1.20746i
$330$	26.6439	−	9.67180i	1.46670	−	0.532415i
$331$	15.8307	−	30.7073i	0.870134	−	1.68783i	0.156069	−	0.987746i	$-0.450118\pi$
$331$	15.8307	−	30.7073i	0.870134	−	1.68783i	0.714065	−	0.700079i	$-0.246852\pi$
$332$	9.72554	+	7.44919i	0.533758	+	0.408827i
$333$	−10.6621	−	17.7528i	−0.584277	−	0.972846i
$334$	11.5546	+	28.3362i	0.632241	+	1.55049i
$335$	−13.4278	−	9.83539i	−0.733639	−	0.537365i
$336$	8.00681	+	20.8055i	0.436807	+	1.13503i
$337$	4.10410	−	16.9173i	0.223565	−	0.921546i	−0.743850	−	0.668347i	$-0.767002\pi$
$337$	4.10410	−	16.9173i	0.223565	−	0.921546i	0.967414	−	0.253199i	$-0.0814827\pi$
$338$	13.2614	−	7.76983i	0.721327	−	0.422623i
$339$	17.4340	+	1.51311i	0.946885	+	0.0821811i
$340$	6.79740	+	18.8570i	0.368641	+	1.02267i
$341$	3.10546	−	32.5218i	0.168170	−	1.76116i
$342$	−33.0931	+	14.1649i	−1.78947	+	0.765952i
$343$	−8.86703	−	7.68333i	−0.478775	−	0.414861i
$344$	0.475787	−	3.82852i	0.0256527	−	0.206420i
$345$	26.0908	+	7.41710i	1.40468	+	0.399323i
$346$	25.8914	−	13.5579i	1.39193	−	0.728879i
$347$	3.94132	−	11.3877i	0.211581	−	0.611324i	−0.788411	−	0.615148i	$-0.789096\pi$
$347$	3.94132	−	11.3877i	0.211581	−	0.611324i	0.999993	+	0.00382431i	$0.00121732\pi$
$348$	0.385614	−	1.75237i	0.0206711	−	0.0939368i
$349$	−7.49675	+	4.81787i	−0.401292	+	0.257895i	−0.725684	−	0.688028i	$-0.758477\pi$
$349$	−7.49675	+	4.81787i	−0.401292	+	0.257895i	0.324392	+	0.945923i	$0.394840\pi$
$350$	−3.91620	+	0.399206i	−0.209330	+	0.0213385i
$351$	−1.62807	−	7.40998i	−0.0869000	−	0.395515i
$352$	21.4595	−	23.9954i	1.14380	−	1.27896i
$353$	−7.19692	+	0.342832i	−0.383054	+	0.0182471i	−0.238226	−	0.971210i	$-0.576566\pi$
$353$	−7.19692	+	0.342832i	−0.383054	+	0.0182471i	−0.144828	+	0.989457i	$0.546263\pi$
$354$	0.360606	−	11.0618i	0.0191660	−	0.587927i
$355$	−6.75753	−	8.59289i	−0.358652	−	0.456063i
$356$	−6.93745	+	1.08807i	−0.367684	+	0.0576675i
$357$	−26.6379	+	6.70611i	−1.40983	+	0.354925i
$358$	−0.140765	−	22.0410i	−0.00743965	−	1.16490i
$359$	21.4789	+	13.8036i	1.13361	+	0.728529i	0.966311	−	0.257377i	$-0.0828582\pi$
$359$	21.4789	+	13.8036i	1.13361	+	0.728529i	0.167302	+	0.985906i	$0.446495\pi$
$360$	−8.07754	+	15.2469i	−0.425724	+	0.803584i
$361$	−2.52130	+	52.9286i	−0.132700	+	2.78572i
$362$	−21.4393	+	22.7743i	−1.12682	+	1.19699i
$363$	27.7815	−	24.4956i	1.45815	−	1.28568i
$364$	−2.53184	+	9.04862i	−0.132704	+	0.474276i
$365$	−20.4663	−	11.8162i	−1.07126	−	0.618491i
$366$	11.0910	−	7.36532i	0.579735	−	0.384991i
$367$	−1.13100	−	2.82510i	−0.0590376	−	0.147469i	0.895916	−	0.444223i	$-0.146520\pi$
$367$	−1.13100	−	2.82510i	−0.0590376	−	0.147469i	−0.954954	+	0.296754i	$0.904096\pi$
$368$	30.0900	−	6.60071i	1.56855	−	0.344086i
$369$	14.4995	−	23.4412i	0.754816	−	1.22030i
$370$	−14.2789	+	13.7900i	−0.742323	+	0.716910i
$371$	−5.56727	−	1.07300i	−0.289038	−	0.0557076i
$372$	11.8796	+	15.9490i	0.615929	+	0.826916i
$373$	−8.60362	−	14.9019i	−0.445479	−	0.771592i	0.552607	−	0.833442i	$-0.313633\pi$
$373$	−8.60362	−	14.9019i	−0.445479	−	0.771592i	−0.998085	+	0.0618504i	$0.980300\pi$
$374$	26.1666	+	29.8110i	1.35304	+	1.54149i
$375$	−15.0726	−	14.1255i	−0.778345	−	0.729437i
$376$	−8.53080	+	17.3560i	−0.439943	+	0.895068i
$377$	0.571549	−	0.495250i	0.0294363	−	0.0255067i
$378$	−19.6933	−	13.0872i	−1.01291	−	0.673131i
$379$	−2.06654	+	5.16196i	−0.106151	+	0.265152i	−0.971928	−	0.235277i	$-0.924400\pi$
$379$	−2.06654	+	5.16196i	−0.106151	+	0.265152i	0.865777	+	0.500429i	$0.166824\pi$
$380$	20.3729	+	27.8499i	1.04511	+	1.42867i
$381$	7.73531	−	33.1301i	0.396292	−	1.69731i
$382$	−0.742147	−	0.422182i	−0.0379715	−	0.0216007i
$383$	7.70467	−	7.34638i	0.393690	−	0.375383i	−0.467219	−	0.884142i	$-0.654744\pi$
$383$	7.70467	−	7.34638i	0.393690	−	0.375383i	0.860909	+	0.508759i	$0.169896\pi$
$384$	0.112297	+	19.5956i	0.00573062	+	0.999984i
$385$	33.0956	−	17.0620i	1.68671	−	0.869558i
$386$	−14.0063	+	22.1033i	−0.712901	+	1.12503i
$387$	1.93753	+	3.60423i	0.0984900	+	0.183213i
$388$	−3.56638	+	15.5660i	−0.181055	+	0.790242i
$389$	1.95545	+	10.1458i	0.0991454	+	0.514415i	0.997216	+	0.0745642i	$0.0237566\pi$
$389$	1.95545	+	10.1458i	0.0991454	+	0.514415i	−0.898071	+	0.439851i	$0.855031\pi$
$390$	−6.56918	+	3.12006i	−0.332643	+	0.157990i
$391$	3.60814	+	37.7862i	0.182472	+	1.91093i
$392$	4.50732	+	8.34640i	0.227654	+	0.421557i
$393$	−5.96453	−	7.45133i	−0.300871	−	0.375870i
$394$	−1.99364	+	5.88151i	−0.100438	+	0.296306i
$395$	−13.5107	−	12.8825i	−0.679799	−	0.648187i
$396$	−3.84247	+	33.9273i	−0.193092	+	1.70491i
$397$	−4.73575	+	10.3698i	−0.237681	+	0.520448i	−0.990456	−	0.137830i	$-0.955987\pi$
$397$	−4.73575	+	10.3698i	−0.237681	+	0.520448i	0.752775	+	0.658277i	$0.228715\pi$
$398$	19.5206	+	1.73826i	0.978477	+	0.0871311i
$399$	−40.7461	+	23.9958i	−2.03986	+	1.20129i
$400$	−3.34390	−	0.889742i	−0.167195	−	0.0444871i
$401$			20.0619i			1.00184i	0.865493	+	0.500921i	$0.167005\pi$
$401$			20.0619i			1.00184i	−0.865493	+	0.500921i	$0.832995\pi$
$402$	17.8061	−	9.21640i	0.888089	−	0.459672i
$403$			8.38209i			0.417542i
$404$	1.07421	−	0.638629i	0.0534442	−	0.0317730i
$405$	−2.36705	−	18.1474i	−0.117620	−	0.901750i
$406$	0.209061	−	2.34774i	0.0103755	−	0.116517i
$407$	−16.3183	+	35.7321i	−0.808868	+	1.77117i
$408$	−23.9863	−	2.77101i	−1.18750	−	0.137185i
$409$	1.59871	+	1.52436i	0.0790509	+	0.0753749i	0.728575	−	0.684966i	$-0.240183\pi$
$409$	1.59871	+	1.52436i	0.0790509	+	0.0753749i	−0.649524	+	0.760341i	$0.725032\pi$
$410$	−25.0230	−	8.48199i	−1.23580	−	0.418895i
$411$	10.0350	−	8.03264i	0.494988	−	0.396221i
$412$	−2.48206	−	22.8984i	−0.122282	−	1.12812i
$413$	−1.38200	−	14.4729i	−0.0680037	−	0.712167i
$414$	−21.9825	+	24.1737i	−1.08038	+	1.18807i
$415$	2.35722	+	12.2304i	0.115711	+	0.600367i
$416$	−4.89573	+	6.65200i	−0.240033	+	0.326141i
$417$	−2.41882	+	0.252041i	−0.118450	+	0.0123425i
$418$	57.6780	+	36.5490i	2.82112	+	1.78767i
$419$	16.7784	−	8.64989i	0.819681	−	0.422575i	0.00323340	−	0.999995i	$-0.498971\pi$
$419$	16.7784	−	8.64989i	0.819681	−	0.422575i	0.816447	+	0.577420i	$0.195940\pi$
$420$	−7.97189	+	21.2177i	−0.388989	+	1.03532i
$421$	19.2921	−	18.3950i	0.940242	−	0.896519i	−0.0545435	−	0.998511i	$-0.517370\pi$
$421$	19.2921	−	18.3950i	0.940242	−	0.896519i	0.994785	+	0.101993i	$0.0325219\pi$
$422$	14.9337	−	26.2517i	0.726961	−	1.27791i
$423$	−3.26903	−	20.2502i	−0.158945	−	0.984597i
$424$	−4.24348	−	2.61362i	−0.206082	−	0.126929i
$425$	1.58465	−	3.95825i	0.0768666	−	0.192004i
$426$	12.8914	−	2.68593i	0.624592	−	0.130134i
$427$	13.2176	−	11.4531i	0.639645	−	0.554255i
$428$	−7.80393	−	8.77714i	−0.377217	−	0.424259i
$429$	−9.84091	+	10.5007i	−0.475123	+	0.506980i
$430$	2.94797	−	2.58758i	0.142164	−	0.124784i
$431$	−7.73695	−	13.4008i	−0.372676	−	0.645493i	0.617301	−	0.786727i	$-0.288226\pi$
$431$	−7.73695	−	13.4008i	−0.372676	−	0.645493i	−0.989976	+	0.141234i	$0.954893\pi$
$432$	−12.1209	−	16.8844i	−0.583167	−	0.812352i
$433$	5.19845	+	1.00192i	0.249822	+	0.0481492i	0.312625	−	0.949877i	$-0.398792\pi$
$433$	5.19845	+	1.00192i	0.249822	+	0.0481492i	−0.0628029	+	0.998026i	$0.520004\pi$
$434$	18.1481	+	18.7914i	0.871138	+	0.902018i
$435$	1.47685	−	1.07098i	0.0708098	−	0.0513496i
$436$	15.0567	+	9.40678i	0.721083	+	0.450503i
$437$	24.2856	+	60.6624i	1.16174	+	2.90188i
$438$	23.7147	−	15.7485i	1.13313	−	0.752493i
$439$	11.8766	+	6.85696i	0.566839	+	0.327265i	0.755886	−	0.654703i	$-0.227206\pi$
$439$	11.8766	+	6.85696i	0.566839	+	0.327265i	−0.189047	+	0.981968i	$0.560540\pi$
$440$	32.5162	−	3.73481i	1.55015	−	0.178050i
$441$	−9.02085	−	4.45531i	−0.429564	−	0.212157i
$442$	−7.41021	−	6.97581i	−0.352468	−	0.331806i
$443$	0.133818	−	2.80919i	0.00635789	−	0.133469i	−0.993457	−	0.114210i	$-0.963566\pi$
$443$	0.133818	−	2.80919i	0.00635789	−	0.133469i	0.999815	−	0.0192587i	$-0.00613062\pi$
$444$	−7.22619	−	22.7941i	−0.342940	−	1.08176i
$445$	−6.00632	−	3.86003i	−0.284727	−	0.182983i
$446$	−0.435093	+	0.00277872i	−0.0206023	+	0.000131576i
$447$	−0.499650	−	1.98470i	−0.0236326	−	0.0938733i
$448$	3.42679	+	25.5126i	0.161900	+	1.20536i
$449$	10.6208	+	13.5055i	0.501228	+	0.637363i	0.969169	−	0.246397i	$-0.0792465\pi$
$449$	10.6208	+	13.5055i	0.501228	+	0.637363i	−0.467941	+	0.883760i	$0.655004\pi$
$450$	3.43895	−	1.28203i	0.162114	−	0.0604354i
$451$	−52.2254	+	2.48780i	−2.45920	+	0.117146i
$452$	19.1782	+	6.36454i	0.902068	+	0.299363i
$453$	7.39199	+	4.66094i	0.347306	+	0.218990i
$454$	0.0693369	+	0.680193i	0.00325414	+	0.0319231i
$455$	−8.03677	+	5.16492i	−0.376770	+	0.242135i
$456$	−40.9626	+	7.05617i	−1.91825	+	0.330436i
$457$	2.99366	−	8.64960i	0.140037	−	0.404611i	−0.853073	−	0.521791i	$-0.825264\pi$
$457$	2.99366	−	8.64960i	0.140037	−	0.404611i	0.993111	+	0.117180i	$0.0373853\pi$
$458$	1.07897	+	2.06050i	0.0504170	+	0.0962807i
$459$	22.4523	−	12.3205i	1.04798	−	0.575071i
$460$	27.3224	+	15.3126i	1.27391	+	0.713956i
$461$	−10.8035	−	9.36128i	−0.503169	−	0.435998i	0.365926	−	0.930644i	$-0.380752\pi$
$461$	−10.8035	−	9.36128i	−0.503169	−	0.435998i	−0.869095	+	0.494646i	$0.835298\pi$
$462$	0.673311	+	44.8478i	0.0313253	+	2.08651i
$463$	−3.16336	+	33.1282i	−0.147014	+	1.53960i	0.557661	+	0.830069i	$0.311699\pi$
$463$	−3.16336	+	33.1282i	−0.147014	+	1.53960i	−0.704675	+	0.709530i	$0.748907\pi$
$464$	0.902039	−	1.86520i	0.0418761	−	0.0865899i
$465$	−1.74832	+	20.1440i	−0.0810762	+	0.934155i
$466$	2.54043	+	4.33597i	0.117683	+	0.200860i
$467$	1.93089	−	7.95924i	0.0893509	−	0.368310i	−0.909528	−	0.415642i	$-0.863557\pi$
$467$	1.93089	−	7.95924i	0.0893509	−	0.368310i	0.998879	+	0.0473325i	$0.0150720\pi$
$468$	0.153961	−	8.75904i	0.00711686	−	0.404887i
$469$	21.6570	−	14.9891i	1.00003	−	0.692132i
$470$	−18.2072	+	7.42432i	−0.839835	+	0.342458i
$471$	8.93306	−	1.36313i	0.411613	−	0.0628095i
$472$	3.36492	−	12.3289i	0.154883	−	0.567483i
$473$	3.55681	−	6.89925i	0.163542	−	0.317228i
$474$	21.1379	−	7.67312i	0.970897	−	0.352438i
$475$	0.697684	−	7.30648i	0.0320120	−	0.335244i
$476$	−31.7160	+	0.405124i	−1.45370	+	0.0185688i
$477$	5.27500	−	0.342571i	0.241525	−	0.0156853i
$478$	11.1366	+	13.9767i	0.509377	+	0.639281i
$479$	1.59842	+	1.25701i	0.0730336	+	0.0574343i	0.654008	−	0.756487i	$-0.273086\pi$
$479$	1.59842	+	1.25701i	0.0730336	+	0.0574343i	−0.580975	+	0.813922i	$0.697329\pi$
$480$	−13.1530	+	14.9651i	−0.600348	+	0.683059i
$481$	3.29638	−	9.52426i	0.150302	−	0.434269i
$482$	−16.7808	−	25.7484i	−0.764344	−	1.17281i
$483$	−24.5945	+	35.1764i	−1.11909	+	1.60058i
$484$	37.7606	−	20.0815i	1.71639	−	0.912796i
$485$	−13.2258	+	9.41805i	−0.600552	+	0.427651i
$486$	20.8467	+	7.17043i	0.945625	+	0.325257i
$487$	39.6421	−	1.88838i	1.79635	−	0.0855708i	0.877357	−	0.479838i	$-0.159305\pi$
$487$	39.6421	−	1.88838i	1.79635	−	0.0855708i	0.918996	+	0.394267i	$0.129002\pi$
$488$	14.4290	−	5.30558i	0.653168	−	0.240172i
$489$	−4.12207	+	7.28402i	−0.186407	+	0.329395i
$490$	−2.21384	+	9.38683i	−0.100011	+	0.424054i
$491$	2.28477	−	15.8909i	0.103110	−	0.717146i	−0.871035	−	0.491222i	$-0.836551\pi$
$491$	2.28477	−	15.8909i	0.103110	−	0.717146i	0.974145	−	0.225925i	$-0.0725404\pi$
$492$	22.5592	−	22.4511i	1.01705	−	1.01217i
$493$	2.14766	+	1.38022i	0.0967259	+	0.0621620i
$494$	−15.6228	−	7.92824i	−0.702904	−	0.356709i
$495$	−25.8401	+	23.1830i	−1.16142	+	1.04200i
$496$	9.07646	+	21.0937i	0.407545	+	0.947135i
$497$	16.3468	−	5.65769i	0.733255	−	0.253782i
$498$	−14.4579	−	4.01048i	−0.647874	−	0.179714i
$499$	−7.35848	−	4.24842i	−0.329411	−	0.190185i	0.326169	−	0.945312i	$-0.394242\pi$
$499$	−7.35848	−	4.24842i	−0.329411	−	0.190185i	−0.655579	+	0.755126i	$0.727576\pi$
$500$	−13.1510	−	19.8998i	−0.588129	−	0.889946i
$501$	−26.0965	−	26.9008i	−1.16591	−	1.20184i
$502$	−14.3715	+	10.3728i	−0.641430	+	0.462962i
$503$	4.34876	+	17.9258i	0.193902	+	0.799273i	0.982788	+	0.184735i	$0.0591426\pi$
$503$	4.34876	+	17.9258i	0.193902	+	0.799273i	−0.788887	+	0.614538i	$0.789342\pi$
$504$	−18.6191	−	19.9699i	−0.829361	−	0.889528i
$505$	1.24766	+	0.240466i	0.0555200	+	0.0107006i
$506$	61.4038	+	8.42864i	2.72973	+	0.374699i
$507$	−11.5083	+	14.8967i	−0.511103	+	0.661586i
$508$	17.5536	−	35.1443i	0.778817	−	1.55928i
$509$	−4.42668	+	2.02160i	−0.196209	+	0.0896057i	−0.511096	−	0.859523i	$-0.670761\pi$
$509$	−4.42668	+	2.02160i	−0.196209	+	0.0896057i	0.314887	+	0.949129i	$0.398033\pi$
$510$	−16.3533	−	18.3100i	−0.724138	−	0.810781i
$511$	28.2619	−	24.4890i	1.25023	−	1.08333i
$512$	−5.11715	+	22.0412i	−0.226148	+	0.974093i
$513$	31.1096	−	31.2391i	1.37352	−	1.37924i
$514$	3.58210	+	14.3646i	0.158000	+	0.633595i
$515$	13.5837	−	19.0756i	0.598568	−	0.840571i
$516$	1.21197	+	4.56696i	0.0533538	+	0.201049i
$517$	−28.1604	+	26.8509i	−1.23849	+	1.18090i
$518$	−13.2310	−	28.4890i	−0.581338	−	1.25174i
$519$	−23.2064	+	27.2531i	−1.01865	+	1.19628i
$520$	−8.21382	+	1.74693i	−0.360200	+	0.0766077i
$521$	7.88088	−	26.8398i	0.345267	−	1.17587i	−0.585626	−	0.810582i	$-0.699151\pi$
$521$	7.88088	−	26.8398i	0.345267	−	1.17587i	0.930893	−	0.365291i	$-0.119031\pi$
$522$	0.364069	+	2.16719i	0.0159349	+	0.0948551i
$523$	−6.95116	−	36.0660i	−0.303953	−	1.57706i	−0.737132	−	0.675749i	$-0.763820\pi$
$523$	−6.95116	−	36.0660i	−0.303953	−	1.57706i	0.433179	−	0.901308i	$-0.357392\pi$
$524$	−4.70599	−	9.96582i	−0.205582	−	0.435359i
$525$	4.26604	−	2.24609i	0.186185	−	0.0980272i
$526$	−7.98532	+	27.8523i	−0.348177	+	1.21442i
$527$	−27.1493	+	7.97174i	−1.18264	+	0.347255i
$528$	−13.3942	+	37.0814i	−0.582910	+	1.61376i
$529$	26.2795	+	25.0574i	1.14259	+	1.08945i
$530$	−1.45860	−	4.85268i	−0.0633577	−	0.210787i
$531$	4.65374	+	12.7312i	0.201955	+	0.552485i
$532$	−52.1896	+	16.0511i	−2.26271	+	0.695903i
$533$	13.2781	−	1.90911i	0.575140	−	0.0826926i
$534$	7.38284	−	4.41156i	0.319487	−	0.190907i
$535$		−	11.9412i		−	0.516264i
$536$	22.4672	−	5.58804i	0.970434	−	0.241367i
$537$	10.2489	+	24.9740i	0.442272	+	1.07771i
$538$	−0.519907	−	3.45906i	−0.0224148	−	0.149131i
$539$	2.71607	+	18.8907i	0.116989	+	0.813678i
$540$	2.19694	−	21.0178i	0.0945414	−	0.904461i
$541$	7.56711	−	16.5697i	0.325335	−	0.712385i	−0.674325	−	0.738435i	$-0.735565\pi$
$541$	7.56711	−	16.5697i	0.325335	−	0.712385i	0.999661	+	0.0260492i	$0.00829265\pi$
$542$	−16.8818	+	5.07426i	−0.725133	+	0.217958i
$543$	13.9302	−	35.6850i	0.597801	−	1.53139i
$544$	−26.2016	−	9.53072i	−1.12339	−	0.408626i
$545$	5.08544	+	17.3194i	0.217836	+	0.741882i
$546$	−1.26574	−	11.4381i	−0.0541687	−	0.489504i
$547$	1.42212	+	14.8932i	0.0608056	+	0.636785i	0.973584	+	0.228330i	$0.0733264\pi$
$547$	1.42212	+	14.8932i	0.0608056	+	0.636785i	−0.912778	+	0.408455i	$0.866068\pi$
$548$	13.4213	−	6.33772i	0.573330	−	0.270734i
$549$	−9.22789	+	13.4437i	−0.393837	+	0.573763i
$550$	−5.69668	−	4.00201i	−0.242907	−	0.170646i
$551$	4.21674	+	1.23815i	0.179639	+	0.0527468i
$552$	−31.1606	+	21.2716i	−1.32628	+	0.905381i
$553$	26.2564	−	13.5361i	1.11654	−	0.575614i
$554$	14.7225	−	6.83751i	0.625499	−	0.290498i
$555$	9.90846	−	22.2013i	0.420591	−	0.942393i
$556$	−2.78443	−	0.364105i	−0.118086	−	0.0154415i
$557$	−30.1986	−	21.5043i	−1.27955	−	0.911167i	−0.280737	−	0.959785i	$-0.590579\pi$
$557$	−30.1986	−	21.5043i	−1.27955	−	0.911167i	−0.998817	+	0.0486181i	$0.984518\pi$
$558$	−20.7956	−	12.6802i	−0.880346	−	0.536795i
$559$	−0.740177	+	1.84887i	−0.0313061	+	0.0781990i
$560$	−14.6319	+	21.7002i	−0.618312	+	0.916999i
$561$	−43.3706	−	21.8877i	−1.83111	−	0.924097i
$562$	−12.0980	−	34.2456i	−0.510322	−	1.44456i
$563$	−5.95535	−	13.0404i	−0.250988	−	0.549588i	0.741638	−	0.670800i	$-0.234049\pi$
$563$	−5.95535	−	13.0404i	−0.250988	−	0.549588i	−0.992627	+	0.121212i	$0.961322\pi$
$564$	1.74644	−	23.6211i	0.0735384	−	0.994629i
$565$	10.2724	+	17.7923i	0.432162	+	0.748526i
$566$	−0.488525	+	3.55897i	−0.0205342	+	0.149595i
$567$	28.3619	+	5.85256i	1.19109	+	0.245784i
$568$	15.1993	+	0.432394i	0.637747	+	0.0181428i
$569$	−2.44552	+	0.593276i	−0.102521	+	0.0248714i	−0.286691	−	0.958023i	$-0.592555\pi$
$569$	−2.44552	+	0.593276i	−0.102521	+	0.0248714i	0.184170	+	0.982894i	$0.441040\pi$
$570$	−35.8914	−	22.3119i	−1.50332	−	0.934541i
$571$	12.3375	+	30.8177i	0.516310	+	1.28968i	0.926024	+	0.377465i	$0.123204\pi$
$571$	12.3375	+	30.8177i	0.516310	+	1.28968i	−0.409714	+	0.912214i	$0.634372\pi$
$572$	−13.8637	+	9.16198i	−0.579672	+	0.383082i
$573$	1.03632	+	0.139888i	0.0432929	+	0.00584389i
$574$	25.6342	−	33.0285i	1.06995	−	1.37858i
$575$	−2.17898	−	6.29574i	−0.0908697	−	0.262551i
$576$	−9.09719	−	22.2090i	−0.379050	−	0.925376i
$577$	−0.558775	+	11.7301i	−0.0232621	+	0.488331i	0.956934	+	0.290304i	$0.0937565\pi$
$577$	−0.558775	+	11.7301i	−0.0232621	+	0.488331i	−0.980197	+	0.198027i	$0.936547\pi$
$578$	4.66714	−	9.19672i	0.194127	−	0.382533i
$579$	5.79353	−	31.5204i	0.240771	−	1.30994i
$580$	1.94548	−	0.807832i	0.0807815	−	0.0335434i
$581$	−19.5088	−	2.80494i	−0.809362	−	0.116369i
$582$	−3.07374	−	19.3153i	−0.127410	−	0.800644i
$583$	−6.19842	−	7.88194i	−0.256712	−	0.326436i
$584$	30.8520	−	11.3444i	1.27666	−	0.469433i
$585$	6.03437	−	6.55132i	0.249490	−	0.270864i
$586$	5.46296	−	6.38655i	0.225673	−	0.263826i
$587$	−26.8138	−	37.6547i	−1.10672	−	1.55418i	−0.797633	−	0.603143i	$-0.793915\pi$
$587$	−26.8138	−	37.6547i	−1.10672	−	1.55418i	−0.309091	−	0.951033i	$-0.600025\pi$
$588$	−8.94073	−	7.41827i	−0.368710	−	0.305924i
$589$	−40.9769	+	26.3342i	−1.68842	+	1.08508i
$590$	10.8858	−	7.09454i	0.448163	−	0.292078i
$591$	−0.427423	−	7.59390i	−0.0175818	−	0.312372i
$592$	−2.01784	−	27.5375i	−0.0829327	−	1.13178i
$593$	−2.36364	+	3.00562i	−0.0970632	+	0.123426i	−0.832158	−	0.554538i	$-0.812895\pi$
$593$	−2.36364	+	3.00562i	−0.0970632	+	0.123426i	0.735095	+	0.677964i	$0.237137\pi$
$594$	−11.1648	−	40.3000i	−0.458096	−	1.65353i
$595$	−24.3723	−	21.1187i	−0.999167	−	0.865783i
$596$	−0.0301845	−	2.36305i	−0.00123640	−	0.0967945i
$597$	−22.9709	+	6.96063i	−0.940135	+	0.284880i
$598$	−15.8886	−	0.655196i	−0.649734	−	0.0267930i
$599$	23.4174	+	12.0725i	0.956808	+	0.493269i	0.864595	−	0.502470i	$-0.167575\pi$
$599$	23.4174	+	12.0725i	0.956808	+	0.493269i	0.0922139	+	0.995739i	$0.470606\pi$
$600$	4.20591	−	0.519887i	0.171706	−	0.0212243i
$601$	−0.888753	+	3.66349i	−0.0362530	+	0.149437i	−0.987061	−	0.160343i	$-0.948740\pi$
$601$	−0.888753	+	3.66349i	−0.0362530	+	0.149437i	0.950808	+	0.309779i	$0.100255\pi$
$602$	2.34364	+	5.74747i	0.0955195	+	0.234249i
$603$	−16.0089	+	18.6203i	−0.651934	+	0.758276i
$604$	7.05605	+	7.21341i	0.287107	+	0.293510i
$605$	42.2580	+	10.2517i	1.71803	+	0.416790i
$606$	−0.927975	+	1.21719i	−0.0376964	+	0.0494448i
$607$	−17.2190	+	33.4002i	−0.698898	+	1.35567i	0.225500	+	0.974243i	$0.427598\pi$
$607$	−17.2190	+	33.4002i	−0.698898	+	1.35567i	−0.924398	+	0.381430i	$0.875432\pi$
$608$	−47.9002	−	3.03459i	−1.94261	−	0.123069i
$609$	0.837157	+	2.76271i	0.0339233	+	0.111951i
$610$	14.5478	+	5.71653i	0.589023	+	0.231456i
$611$	6.53755	−	7.54474i	0.264481	−	0.305228i
$612$	28.5166	−	7.83157i	1.15272	−	0.316572i
$613$	14.1915	+	11.1603i	0.573190	+	0.450761i	0.862202	−	0.506564i	$-0.169085\pi$
$613$	14.1915	+	11.1603i	0.573190	+	0.450761i	−0.289013	+	0.957325i	$0.593327\pi$
$614$	−30.8847	+	16.1727i	−1.24640	+	0.652675i
$615$	32.3084	−	1.81848i	1.30280	−	0.0733281i
$616$	−11.2438	+	50.5563i	−0.453027	+	2.03697i
$617$	5.68504	+	8.84610i	0.228871	+	0.356130i	0.936628	−	0.350326i	$-0.113929\pi$
$617$	5.68504	+	8.84610i	0.228871	+	0.356130i	−0.707757	+	0.706456i	$0.750293\pi$
$618$	13.3010	+	24.8763i	0.535047	+	1.00067i
$619$	−1.40200	+	0.998358i	−0.0563510	+	0.0401274i	−0.607885	−	0.794025i	$-0.707982\pi$
$619$	−1.40200	+	0.998358i	−0.0563510	+	0.0401274i	0.551534	+	0.834152i	$0.314043\pi$
$620$	−7.35386	+	22.1593i	−0.295338	+	0.889941i
$621$	13.9067	−	37.5233i	0.558059	−	1.50576i
$622$	27.2367	+	12.2290i	1.09209	+	0.490337i
$623$	8.88069	−	6.98385i	0.355797	−	0.279802i
$624$	2.51664	−	9.79758i	0.100746	−	0.392217i
$625$	2.83582	−	19.7235i	0.113433	−	0.788941i
$626$	0.134981	+	21.1354i	0.00539492	+	0.844739i
$627$	−82.2515	−	15.1181i	−3.28481	−	0.603757i
$628$	10.3990	+	0.859103i	0.414964	+	0.0342819i
$629$	33.9837	+	1.61884i	1.35502	+	0.0645475i
$630$	−0.656125	−	27.7522i	−0.0261406	−	1.10567i
$631$	−5.97722	+	2.06874i	−0.237949	+	0.0823551i	−0.443440	−	0.896304i	$-0.646242\pi$
$631$	−5.97722	+	2.06874i	−0.237949	+	0.0823551i	0.205491	+	0.978659i	$0.434121\pi$
$632$	25.7967	−	2.96302i	1.02614	−	0.117862i
$633$	−4.94820	+	36.6574i	−0.196673	+	1.45700i
$634$	17.0084	−	3.39089i	0.675489	−	0.134670i
$635$	37.0803	−	14.8447i	1.47149	−	0.589094i
$636$	6.01691	+	1.02666i	0.238586	+	0.0407096i
$637$	−1.15442	−	4.75859i	−0.0457398	−	0.188542i
$638$	2.99848	−	2.89583i	0.118711	−	0.114647i
$639$	−13.4151	+	8.95208i	−0.530694	+	0.354139i
$640$	−18.7786	+	13.2904i	−0.742290	+	0.525350i
$641$	5.57700	−	3.21988i	0.220278	−	0.127178i	−0.385801	−	0.922582i	$-0.626075\pi$
$641$	5.57700	−	3.21988i	0.220278	−	0.127178i	0.606079	+	0.795404i	$0.292742\pi$
$642$	12.8828	+	6.39861i	0.508444	+	0.252533i
$643$	13.3989	−	6.11909i	0.528402	−	0.241313i	−0.133306	−	0.991075i	$-0.542559\pi$
$643$	13.3989	−	6.11909i	0.528402	−	0.241313i	0.661708	+	0.749762i	$0.269832\pi$
$644$	−37.0386	+	32.9317i	−1.45952	+	1.29769i
$645$	−2.16444	+	4.28886i	−0.0852247	+	0.168874i
$646$	10.8213	−	58.1418i	0.425757	−	2.28756i
$647$	−3.43100	−	1.37356i	−0.134886	−	0.0540004i	0.303237	−	0.952915i	$-0.401933\pi$
$647$	−3.43100	−	1.37356i	−0.134886	−	0.0540004i	−0.438124	+	0.898915i	$0.644357\pi$
$648$	21.4979	+	13.6324i	0.844516	+	0.535531i
$649$	14.9148	−	20.9449i	0.585457	−	0.822159i
$650$	1.55258	+	0.883212i	0.0608973	+	0.0346424i
$651$	−29.2177	−	13.0399i	−1.14513	−	0.511072i
$652$	−6.57923	+	7.07897i	−0.257662	+	0.277234i
$653$	−12.6537	−	24.5448i	−0.495179	−	0.960513i	−0.995508	−	0.0946780i	$-0.969818\pi$
$653$	−12.6537	−	24.5448i	−0.495179	−	0.960513i	0.500329	−	0.865835i	$-0.333212\pi$
$654$	−21.4101	−	3.79404i	−0.837200	−	0.148359i
$655$	3.15693	−	10.7515i	0.123352	−	0.420097i
$656$	31.3474	−	19.1824i	1.22391	−	0.748947i
$657$	−19.7311	+	28.7453i	−0.769782	+	1.12146i
$658$	−1.67892	−	31.0687i	−0.0654510	−	1.21119i
$659$	−28.0120	+	2.67482i	−1.09119	+	0.104196i	−0.625104	−	0.780542i	$-0.714943\pi$
$659$	−28.0120	+	2.67482i	−1.09119	+	0.104196i	−0.466089	+	0.884738i	$0.654337\pi$
$660$	−35.2286	+	19.1266i	−1.37127	+	0.744501i
$661$	−29.6486	+	8.70561i	−1.15320	+	0.338609i	−0.801785	−	0.597612i	$-0.796116\pi$
$661$	−29.6486	+	8.70561i	−1.15320	+	0.338609i	−0.351411	+	0.936221i	$0.614298\pi$
$662$	−15.6847	+	46.2719i	−0.609602	+	1.79841i
$663$	11.6110	+	4.53254i	0.450935	+	0.176029i
$664$	−15.1670	−	8.37343i	−0.588595	−	0.324952i
$665$	−50.4987	−	23.0620i	−1.95825	−	0.894305i
$666$	18.6426	+	22.5862i	0.722385	+	0.875197i
$667$	3.94846	−	0.567703i	0.152885	−	0.0219815i
$668$	−22.1155	−	37.1996i	−0.855673	−	1.43930i
$669$	0.492990	−	0.202315i	0.0190601	−	0.00782194i
$670$	20.8462	+	10.9323i	0.805361	+	0.422353i
$671$	30.9310			1.19408
$672$	−15.5709	−	27.4136i	−0.600659	−	1.05750i
$673$	3.17845	+	22.1066i	0.122520	+	0.852148i	0.954685	+	0.297619i	$0.0961924\pi$
$673$	3.17845	+	22.1066i	0.122520	+	0.852148i	−0.832164	+	0.554529i	$0.812899\pi$
$674$	−2.18359	+	24.5216i	−0.0841089	+	0.944539i
$675$	−3.31979	+	3.03051i	−0.127779	+	0.116644i
$676$	−16.9130	+	13.6537i	−0.650499	+	0.525142i
$677$	23.2576	−	24.3919i	0.893863	−	0.937457i	−0.104507	−	0.994524i	$-0.533327\pi$
$677$	23.2576	−	24.3919i	0.893863	−	0.937457i	0.998370	+	0.0570675i	$0.0181750\pi$
$678$	−24.6996	+	1.54852i	−0.948582	+	0.0594704i
$679$	−7.23836	−	24.6516i	−0.277783	−	0.946042i
$680$	−13.4699	−	24.9428i	−0.516548	−	0.956514i
$681$	−0.390116	−	0.740956i	−0.0149493	−	0.0283935i
$682$	2.49307	+	46.1347i	0.0954644	+	1.76659i
$683$	−16.6703	+	3.21294i	−0.637871	+	0.122940i	−0.497926	−	0.867220i	$-0.665905\pi$
$683$	−16.6703	+	3.21294i	−0.637871	+	0.122940i	−0.139945	+	0.990159i	$0.544693\pi$
$684$	43.3033	−	26.7659i	1.65574	−	1.02342i
$685$	14.4794	+	4.25155i	0.553231	+	0.162443i
$686$	14.0156	+	8.88133i	0.535119	+	0.339091i
$687$	−2.16887	−	1.84682i	−0.0827475	−	0.0704607i
$688$	0.139362	+	5.45422i	0.00531311	+	0.207940i
$689$	1.77536	+	1.86194i	0.0676357	+	0.0709343i
$690$	−38.0471	−	4.88859i	−1.44843	−	0.186105i
$691$	−5.37916	−	3.83048i	−0.204633	−	0.145718i	0.473146	−	0.880984i	$-0.343118\pi$
$691$	−5.37916	−	3.83048i	−0.204633	−	0.145718i	−0.677779	+	0.735265i	$0.737058\pi$
$692$	−33.3594	+	24.4032i	−1.26813	+	0.927670i
$693$	−21.2933	−	50.6385i	−0.808867	−	1.92360i
$694$	−3.11827	+	16.7542i	−0.118368	+	0.635982i
$695$	−1.86970	−	2.15774i	−0.0709216	−	0.0818479i
$696$	−0.170937	+	2.53175i	−0.00647934	+	0.0959658i
$697$	18.8116	+	41.1917i	0.712541	+	1.56025i
$698$	9.47153	−	8.31363i	0.358503	−	0.314675i
$699$	−4.87064	−	3.76277i	−0.184224	−	0.142321i
$700$	5.39292	−	1.38147i	0.203833	−	0.0522148i
$701$	1.73978	−	9.02683i	0.0657106	−	0.340939i	−0.934163	−	0.356847i	$-0.883852\pi$
$701$	1.73978	−	9.02683i	0.0657106	−	0.340939i	0.999873	+	0.0159081i	$0.00506392\pi$
$702$	3.83444	+	10.0207i	0.144721	+	0.378206i
$703$	56.9168	−	13.8079i	2.14666	−	0.520774i
$704$	−24.9674	+	38.0685i	−0.940996	+	1.43476i
$705$	17.2848	−	16.7681i	0.650985	−	0.631522i
$706$	9.99287	−	1.99224i	0.376087	−	0.0749789i
$707$	−1.00531	+	1.74124i	−0.0378084	+	0.0654861i
$708$	1.82087	+	15.5458i	0.0684324	+	0.584246i
$709$	−13.4006	−	38.7185i	−0.503270	−	1.45410i	−0.855309	−	0.518119i	$-0.826633\pi$
$709$	−13.4006	−	38.7185i	−0.503270	−	1.45410i	0.352038	−	0.935986i	$-0.385489\pi$
$710$	11.2567	+	10.5968i	0.422455	+	0.397690i
$711$	−20.5002	+	18.3922i	−0.768819	+	0.689762i
$712$	9.47335	−	2.97992i	0.355029	−	0.111677i
$713$	−23.9032	+	37.1941i	−0.895182	+	1.39293i
$714$	35.8437	−	14.9778i	1.34142	−	0.560530i
$715$	−16.7236	−	2.40449i	−0.625427	−	0.0899229i
$716$	4.82987	+	30.7949i	0.180501	+	1.15086i
$717$	−19.0488	−	10.7798i	−0.711390	−	0.402580i
$718$	−32.9399	−	14.7896i	−1.22930	−	0.551944i
$719$	−0.285267	−	5.98848i	−0.0106386	−	0.223333i	−0.997925	−	0.0643827i	$-0.979492\pi$
$719$	−0.285267	−	5.98848i	−0.0106386	−	0.223333i	0.987287	−	0.158950i	$-0.0508109\pi$
$720$	8.09159	−	23.0208i	0.301556	−	0.857935i
$721$	21.4947	+	30.1850i	0.800503	+	1.12415i
$722$	−7.59950	−	74.5509i	−0.282824	−	2.77450i
$723$	30.8488	+	21.5688i	1.14728	+	0.802151i
$724$	25.1958	−	36.3565i	0.936394	−	1.35118i
$725$	−0.423431	−	0.146551i	−0.0157258	−	0.00544276i
$726$	−33.7037	+	40.0968i	−1.25086	+	1.48813i
$727$	18.5892	−	23.6381i	0.689437	−	0.876690i	−0.307764	−	0.951463i	$-0.599581\pi$
$727$	18.5892	−	23.6381i	0.689437	−	0.876690i	0.997201	+	0.0747726i	$0.0238231\pi$
$728$	1.63877	−	13.1867i	0.0607369	−	0.488733i
$729$	−26.9638	+	1.39675i	−0.998661	+	0.0517314i
$730$	31.1060	+	12.2231i	1.15129	+	0.452396i
$731$	−6.69237	−	0.639044i	−0.247526	−	0.0236359i
$732$	−13.9626	+	12.6318i	−0.516073	+	0.466883i
$733$	−36.0483	−	18.5842i	−1.33148	−	0.686423i	−0.362131	−	0.932127i	$-0.617951\pi$
$733$	−36.0483	−	18.5842i	−1.33148	−	0.686423i	−0.969345	+	0.245704i	$0.920981\pi$
$734$	2.17554	+	3.71318i	0.0803006	+	0.137056i
$735$	−1.78179	−	11.6767i	−0.0657223	−	0.430702i
$736$	−40.6935	+	15.5560i	−1.49998	+	0.573402i
$737$	46.3061	+	5.04799i	1.70571	+	0.185945i
$738$	−15.3504	+	35.8304i	−0.565055	+	1.31894i
$739$	25.7650	+	6.25053i	0.947782	+	0.229930i	0.679720	−	0.733472i	$-0.262101\pi$
$739$	25.7650	+	6.25053i	0.947782	+	0.229930i	0.268063	+	0.963401i	$0.413617\pi$
$740$	17.0704	−	22.2868i	0.627520	−	0.819280i
$741$	21.3764	+	1.85528i	0.785283	+	0.0681555i
$742$	8.01140	+	0.330365i	0.294108	+	0.0121281i
$743$	18.9524	+	1.80973i	0.695294	+	0.0663926i	0.436718	−	0.899598i	$-0.356141\pi$
$743$	18.9524	+	1.80973i	0.695294	+	0.0663926i	0.258576	+	0.965991i	$0.416747\pi$
$744$	−19.9661	−	19.8076i	−0.731995	−	0.726184i
$745$	1.57349	−	1.81590i	0.0576480	−	0.0665294i
$746$	15.1646	+	19.0319i	0.555215	+	0.696808i
$747$	18.2598	−	2.06204i	0.668091	−	0.0754459i
$748$	−42.8603	−	36.1906i	−1.56713	−	1.32326i
$749$	17.8564	+	6.18016i	0.652459	+	0.225818i
$750$	24.0483	+	16.5863i	0.878118	+	0.605647i
$751$	−17.4014	−	27.0772i	−0.634988	−	0.988060i	−0.998406	−	0.0564345i	$-0.982027\pi$
$751$	−17.4014	−	27.0772i	−0.634988	−	0.988060i	0.363418	−	0.931626i	$-0.381610\pi$
$752$	8.28215	−	26.0656i	0.302019	−	0.950516i
$753$	11.5778	−	18.3618i	0.421920	−	0.669141i
$754$	−0.695213	+	0.812749i	−0.0253182	+	0.0295986i
$755$	0.488164	+	10.2478i	0.0177661	+	0.372956i
$756$	30.2921	+	14.1629i	1.10171	+	0.515101i
$757$	2.77939	−	2.18574i	0.101019	−	0.0794419i	−0.566372	−	0.824150i	$-0.691654\pi$
$757$	2.77939	−	2.18574i	0.101019	−	0.0794419i	0.667391	+	0.744708i	$0.267411\pi$
$758$	1.80502	−	7.65341i	0.0655613	−	0.277984i
$759$	−73.6123	+	18.5319i	−2.67196	+	0.672666i
$760$	−34.3456	−	34.6659i	−1.24585	−	1.25746i
$761$	−21.1069	+	32.8431i	−0.765126	+	1.19056i	0.211869	+	0.977298i	$0.432045\pi$
$761$	−21.1069	+	32.8431i	−0.765126	+	1.19056i	−0.976995	+	0.213262i	$0.931591\pi$
$762$	−3.85395	+	47.9586i	−0.139614	+	1.73736i
$763$	−28.5307	−	1.35908i	−1.03288	−	0.0492022i
$764$	1.12664	+	0.434426i	0.0407604	+	0.0157170i
$765$	26.9584	+	13.3145i	0.974684	+	0.481386i
$766$	−9.23081	+	11.8935i	−0.333523	+	0.429728i
$767$	−3.29855	+	5.71325i	−0.119104	+	0.206294i
$768$	−4.27603	−	27.3809i	−0.154298	−	0.988024i
$769$	−30.2762	+	12.1208i	−1.09179	+	0.437086i	−0.846513	−	0.532368i	$-0.821302\pi$
$769$	−30.2762	+	12.1208i	−1.09179	+	0.437086i	−0.245275	+	0.969454i	$0.578878\pi$
$770$	−42.6979	+	30.8179i	−1.53873	+	1.11060i
$771$	−10.6444	−	14.6784i	−0.383350	−	0.528630i
$772$	14.9418	−	33.8557i	0.537766	−	1.21849i
$773$	−1.31922	+	6.84477i	−0.0474491	+	0.246189i	−0.997907	−	0.0646636i	$-0.979403\pi$
$773$	−1.31922	+	6.84477i	−0.0474491	+	0.246189i	0.950458	+	0.310853i	$0.100615\pi$
$774$	−3.46725	−	4.63326i	−0.124628	−	0.166539i
$775$	4.30088	−	2.48312i	0.154492	−	0.0891962i
$776$	1.71565	−	22.5187i	0.0615881	−	0.808375i
$777$	28.0708	+	26.3070i	1.00704	+	0.943757i
$778$	−4.86736	−	13.7780i	−0.174503	−	0.493965i
$779$	51.0492	+	58.9139i	1.82903	+	2.11081i
$780$	8.53120	−	5.74426i	0.305466	−	0.205677i
$781$	28.4014	+	11.3702i	1.01628	+	0.406858i
$782$	−12.9886	−	52.0857i	−0.464472	−	1.86258i
$783$	−1.40558	−	2.29526i	−0.0502313	−	0.0820258i
$784$	−8.05792	−	10.7250i	−0.287783	−	0.383037i
$785$	7.32101	+	7.67805i	0.261298	+	0.274041i
$786$	9.90769	+	9.16699i	0.353396	+	0.326976i
$787$	−6.61562	−	12.8325i	−0.235822	−	0.457430i	0.740994	−	0.671511i	$-0.234355\pi$
$787$	−6.61562	−	12.8325i	−0.235822	−	0.457430i	−0.976816	+	0.214081i	$0.931324\pi$
$788$	1.55183	−	8.64438i	0.0552816	−	0.307943i
$789$	−3.67776	−	35.2952i	−0.130932	−	1.25654i
$790$	21.6027	+	15.1763i	0.768591	+	0.539947i
$791$	−31.9223	+	6.15251i	−1.13502	+	0.218758i
$792$	−1.75778	−	48.2552i	−0.0624601	−	1.71468i
$793$	−7.90003	+	0.754361i	−0.280538	+	0.0267882i
$794$	4.44324	−	15.4977i	0.157685	−	0.549994i
$795$	3.87821	+	4.84495i	0.137546	+	0.171833i
$796$	−27.6650	+	1.67224i	−0.980559	+	0.0592710i
$797$	6.43639	−	6.75030i	0.227989	−	0.239108i	−0.599797	−	0.800152i	$-0.704752\pi$
$797$	6.43639	−	6.75030i	0.227989	−	0.239108i	0.827786	+	0.561045i	$0.189600\pi$
$798$	51.9398	−	42.1230i	1.83865	−	1.49114i
$799$	30.6546	+	13.9995i	1.08448	+	0.495267i
$800$	4.86349	+	0.541423i	0.171950	+	0.0191422i
$801$	−6.36751	+	8.39090i	−0.224985	+	0.296478i
$802$	−4.21699	−	28.0566i	−0.148907	−	0.990714i
$803$	66.1365			2.33391
$804$	−22.9647	+	16.6320i	−0.809901	+	0.586566i
$805$	−50.3906			−1.77604
$806$	−1.76191	−	11.7224i	−0.0620606	−	0.412904i
$807$	2.17395	+	3.69149i	0.0765267	+	0.129947i
$808$	−1.36806	+	1.11893i	−0.0481280	+	0.0393637i
$809$	−36.9104	−	16.8564i	−1.29770	−	0.592640i	−0.357707	−	0.933834i	$-0.616441\pi$
$809$	−36.9104	−	16.8564i	−1.29770	−	0.592640i	−0.939993	+	0.341194i	$0.889169\pi$
$810$	7.12490	+	24.8816i	0.250343	+	0.874252i
$811$	−35.5727	+	37.3076i	−1.24913	+	1.31005i	−0.316774	+	0.948501i	$0.602600\pi$
$811$	−35.5727	+	37.3076i	−1.24913	+	1.31005i	−0.932354	+	0.361547i	$0.882249\pi$
$812$	0.201121	+	3.32728i	0.00705796	+	0.116765i
$813$	16.8549	−	13.4917i	0.591126	−	0.473175i
$814$	15.3104	−	53.4016i	0.536628	−	1.87173i
$815$	−9.78143	+	0.934013i	−0.342628	+	0.0327171i
$816$	34.1274	−	1.16663i	1.19470	−	0.0408403i
$817$	−11.3639	+	2.19021i	−0.397572	+	0.0766256i
$818$	−2.55622	−	1.79578i	−0.0893761	−	0.0627881i
$819$	6.67350	+	12.4142i	0.233191	+	0.433786i
$820$	36.7777	+	6.60229i	1.28433	+	0.230562i
$821$	13.5756	+	26.3330i	0.473791	+	0.919027i	0.997735	+	0.0672738i	$0.0214301\pi$
$821$	13.5756	+	26.3330i	0.473791	+	0.919027i	−0.523943	+	0.851753i	$0.675540\pi$
$822$	−12.3455	+	13.3430i	−0.430599	+	0.465391i
$823$	−9.10658	−	9.55070i	−0.317435	−	0.332917i	0.545614	−	0.838037i	$-0.316297\pi$
$823$	−9.10658	−	9.55070i	−0.317435	−	0.332917i	−0.863049	+	0.505120i	$0.831448\pi$
$824$	8.28440	+	31.5018i	0.288601	+	1.09742i
$825$	8.30325	+	1.93867i	0.289082	+	0.0674957i
$826$	4.97493	+	19.9500i	0.173100	+	0.694149i
$827$	−14.3947	−	5.76278i	−0.500553	−	0.200391i	0.107625	−	0.994192i	$-0.465675\pi$
$827$	−14.3947	−	5.76278i	−0.500553	−	0.200391i	−0.608179	+	0.793800i	$0.708100\pi$
$828$	25.6613	−	38.4277i	0.891793	−	1.33546i
$829$	−6.53796	−	7.54521i	−0.227073	−	0.262056i	0.630768	−	0.775971i	$-0.282740\pi$
$829$	−6.53796	−	7.54521i	−0.227073	−	0.262056i	−0.857841	+	0.513916i	$0.828194\pi$
$830$	−5.86740	−	16.6088i	−0.203660	−	0.576500i
$831$	−13.5949	+	14.5064i	−0.471601	+	0.503221i
$832$	5.44846	−	10.3319i	0.188891	−	0.358196i
$833$	14.3150	−	8.26476i	0.495985	−	0.286357i
$834$	3.32975	−	0.860915i	0.115300	−	0.0298110i
$835$	8.32724	−	43.2058i	0.288176	−	1.49520i
$836$	−88.3455	−	38.9901i	−3.05549	−	1.34850i
$837$	29.4278	+	4.88569i	1.01717	+	0.168874i
$838$	−21.6465	+	15.6237i	−0.747767	+	0.539713i
$839$	43.0910	−	17.2510i	1.48767	−	0.595572i	0.521444	−	0.853285i	$-0.325393\pi$
$839$	43.0910	−	17.2510i	1.48767	−	0.595572i	0.966221	+	0.257714i	$0.0829691\pi$
$840$	6.68878	−	31.3488i	0.230785	−	1.08164i
$841$	−14.3659	+	24.8824i	−0.495374	+	0.858013i
$842$	−23.1135	+	29.7807i	−0.796545	+	1.02631i
$843$	29.4187	+	33.3650i	1.01323	+	1.14915i
$844$	−15.3668	+	39.8522i	−0.528946	+	1.37177i
$845$	−22.0750	−	1.05156i	−0.759402	−	0.0361748i
$846$	8.82832	+	27.6328i	0.303524	+	0.950036i
$847$	−37.2005	+	57.8851i	−1.27822	+	1.98895i
$848$	6.48391	+	2.76319i	0.222658	+	0.0948883i
$849$	−1.07411	−	4.26657i	−0.0368634	−	0.146428i
$850$	−1.38411	+	5.86873i	−0.0474747	+	0.201296i
$851$	41.7875	−	32.8620i	1.43246	−	1.12650i
$852$	−17.4642	+	6.46606i	−0.598312	+	0.221524i
$853$	−0.826414	−	17.3486i	−0.0282959	−	0.594003i	−0.967839	−	0.251572i	$-0.919053\pi$
$853$	−0.826414	−	17.3486i	−0.0282959	−	0.594003i	0.939543	−	0.342431i	$-0.111250\pi$
$854$	−16.0775	+	18.7956i	−0.550159	+	0.643172i
$855$	50.9853	+	8.91730i	1.74366	+	0.304965i
$856$	12.7588	+	10.6345i	0.436086	+	0.363480i
$857$	−15.6370	−	24.3317i	−0.534151	−	0.831155i	0.464364	−	0.885645i	$-0.346283\pi$
$857$	−15.6370	−	24.3317i	−0.534151	−	0.831155i	−0.998514	+	0.0544899i	$0.982647\pi$
$858$	11.5553	−	16.7539i	0.394492	−	0.571968i
$859$	−33.2625	−	11.5123i	−1.13490	−	0.392793i	−0.305913	−	0.952059i	$-0.598962\pi$
$859$	−33.2625	−	11.5123i	−1.13490	−	0.392793i	−0.828988	+	0.559266i	$0.811083\pi$
$860$	−3.57884	+	4.23840i	−0.122038	+	0.144528i
$861$	−14.0019	+	49.2539i	−0.477184	+	1.67857i
$862$	13.6370	+	17.1148i	0.464478	+	0.582931i
$863$	18.5492	−	21.4069i	0.631422	−	0.728700i	−0.346412	−	0.938083i	$-0.612600\pi$
$863$	18.5492	−	21.4069i	0.631422	−	0.728700i	0.977834	+	0.209383i	$0.0671455\pi$
$864$	20.5002	+	21.0652i	0.697432	+	0.716651i
$865$	−41.8334	−	3.99461i	−1.42238	−	0.135821i
$866$	−7.48066	−	0.308479i	−0.254203	−	0.0104825i
$867$	−1.09215	+	12.5837i	−0.0370914	+	0.427365i
$868$	−29.3302	−	22.4652i	−0.995531	−	0.762519i
$869$	50.7708	+	12.3169i	1.72228	+	0.417821i
$870$	−1.84027	+	1.80821i	−0.0623910	+	0.0613039i
$871$	−11.9501	−	0.159960i	−0.404913	−	0.00542004i
$872$	−23.0341	−	9.99054i	−0.780034	−	0.338322i
$873$	12.3330	+	20.5350i	0.417410	+	0.695005i
$874$	−46.7147	−	79.7319i	−1.58015	−	2.69697i
$875$	34.1096	+	17.5847i	1.15311	+	0.594471i
$876$	−29.8548	+	27.0092i	−1.00870	+	0.912556i
$877$	33.7754	+	3.22516i	1.14051	+	0.108906i	0.648171	−	0.761495i	$-0.275534\pi$
$877$	33.7754	+	3.22516i	1.14051	+	0.108906i	0.492344	+	0.870401i	$0.336140\pi$
$878$	−18.0508	−	7.09304i	−0.609185	−	0.239378i
$879$	−3.28252	+	9.75566i	−0.110717	+	0.329050i
$880$	−44.6890	+	12.0580i	−1.50647	+	0.406476i
$881$	4.77942	−	6.07753i	0.161023	−	0.204757i	−0.698846	−	0.715272i	$-0.746303\pi$
$881$	4.77942	−	6.07753i	0.161023	−	0.204757i	0.859869	+	0.510515i	$0.170545\pi$
$882$	13.5522	+	4.33459i	0.456327	+	0.145953i
$883$	−6.46060	−	2.23603i	−0.217416	−	0.0752486i	0.216188	−	0.976352i	$-0.430637\pi$
$883$	−6.46060	−	2.23603i	−0.217416	−	0.0752486i	−0.433605	+	0.901103i	$0.642759\pi$
$884$	11.8295	+	8.19809i	0.397870	+	0.275732i
$885$	−9.11878	+	13.0422i	−0.306525	+	0.438408i
$886$	0.403344	+	3.95679i	0.0135506	+	0.132931i
$887$	26.7783	+	37.6049i	0.899128	+	1.26265i	0.964310	+	0.264775i	$0.0852976\pi$
$887$	26.7783	+	37.6049i	0.899128	+	1.26265i	−0.0651825	+	0.997873i	$0.520763\pi$
$888$	14.8972	+	30.3587i	0.499916	+	1.01877i
$889$	3.00731	+	63.1312i	0.100862	+	2.11735i
$890$	9.21124	+	4.13574i	0.308761	+	0.138630i
$891$	31.1299	+	40.6700i	1.04289	+	1.36250i
$892$	0.607896	−	0.0953423i	0.0203539	−	0.00319229i
$893$	57.4226	+	8.25612i	1.92157	+	0.276281i
$894$	1.11595	+	2.67059i	0.0373228	+	0.0893180i
$895$	−17.1344	+	26.6616i	−0.572740	+	0.891201i
$896$	−10.1551	−	34.9592i	−0.339258	−	1.16791i
$897$	18.3492	−	6.52850i	0.612663	−	0.217980i
$898$	−17.6921	−	16.6550i	−0.590394	−	0.555784i
$899$	0.972570	+	2.81006i	0.0324370	+	0.0937207i
$900$	−4.53991	+	2.51579i	−0.151330	+	0.0838596i
$901$	−4.34231	+	7.52110i	−0.144663	+	0.250564i
$902$	72.5145	−	14.4569i	2.41447	−	0.481363i
$903$	−5.29318	−	5.45631i	−0.176146	−	0.181575i
$904$	−28.1587	−	4.86959i	−0.936543	−	0.161960i
$905$	43.7059	−	10.6029i	1.45283	−	0.352454i
$906$	−11.3175	−	4.96456i	−0.375998	−	0.164937i
$907$	−5.02799	+	26.0877i	−0.166952	+	0.866227i	0.797772	+	0.602960i	$0.206012\pi$
$907$	−5.02799	+	26.0877i	−0.166952	+	0.866227i	−0.964723	+	0.263267i	$0.915200\pi$
$908$	−0.239944	−	0.936679i	−0.00796282	−	0.0310848i
$909$	0.497021	−	1.80748i	0.0164852	−	0.0599503i
$910$	10.1538	−	8.91249i	0.336595	−	0.295446i
$911$	21.1354	+	46.2801i	0.700247	+	1.53333i	0.839672	+	0.543094i	$0.182747\pi$
$911$	21.1354	+	46.2801i	0.700247	+	1.53333i	−0.139425	+	0.990233i	$0.544525\pi$
$912$	55.8033	−	18.4784i	1.84783	−	0.611881i
$913$	−22.8266	−	26.3433i	−0.755451	−	0.871836i
$914$	−2.36850	+	12.7258i	−0.0783431	+	0.420931i
$915$	−19.1428	+	0.165125i	−0.632843	+	0.00545887i
$916$	−1.94206	−	2.65482i	−0.0641675	−	0.0877176i
$917$	14.4435	+	10.2852i	0.476967	+	0.339647i
$918$	−28.8098	+	21.9497i	−0.950867	+	0.724448i
$919$	23.5790	+	24.7289i	0.777799	+	0.815732i	0.986759	−	0.162192i	$-0.0518563\pi$
$919$	23.5790	+	24.7289i	0.777799	+	0.815732i	−0.208960	+	0.977924i	$0.567008\pi$
$920$	−41.4292	−	15.6717i	−1.36588	−	0.516680i
$921$	27.6819	−	32.5091i	0.912151	−	1.07121i
$922$	17.0765	+	10.8209i	0.562384	+	0.356368i
$923$	−7.53125	−	2.21138i	−0.247894	−	0.0727883i
$924$	−10.3686	−	62.5783i	−0.341102	−	2.05867i
$925$	−5.86346	+	1.13009i	−0.192789	+	0.0371571i
$926$	−2.53955	−	46.9949i	−0.0834548	−	1.54435i
$927$	−26.4967	−	22.1709i	−0.870265	−	0.728188i
$928$	−0.869442	+	2.79810i	−0.0285408	+	0.0918523i
$929$	10.7141	+	36.4890i	0.351520	+	1.19717i	0.925643	+	0.378397i	$0.123525\pi$
$929$	10.7141	+	36.4890i	0.351520	+	1.19717i	−0.574124	+	0.818768i	$0.694657\pi$
$930$	−1.78922	−	28.5390i	−0.0586709	−	0.935829i
$931$	19.6361	−	20.5937i	0.643546	−	0.674932i
$932$	−4.46422	−	5.52987i	−0.146230	−	0.181137i
$933$	−36.5383	−	1.42477i	−1.19621	−	0.0466449i
$934$	−1.02733	+	11.5369i	−0.0336154	+	0.377499i
$935$	−8.11684	−	56.4539i	−0.265449	−	1.84624i
$936$	1.62583	+	12.2819i	0.0531418	+	0.401447i
$937$	48.0443			1.56954			0.784770	−	0.619787i	$-0.212781\pi$
$937$	48.0443			1.56954			0.784770	+	0.619787i	$0.212781\pi$
$938$	−27.1367	+	25.5146i	−0.886045	+	0.833081i
$939$	−9.82777	−	23.9478i	−0.320717	−	0.781507i
$940$	23.9023	−	14.2101i	0.779606	−	0.463482i
$941$	−37.2015	+	5.34876i	−1.21273	+	0.174365i	−0.718851	−	0.695164i	$-0.755332\pi$
$941$	−37.2015	+	5.34876i	−1.21273	+	0.174365i	−0.493882	+	0.869529i	$0.664423\pi$
$942$	−12.2064	+	3.78406i	−0.397706	+	0.123291i
$943$	64.3637	+	29.3939i	2.09597	+	0.957197i
$944$	−2.11433	+	17.9493i	−0.0688155	+	0.584201i
$945$	13.4485	+	31.2259i	0.437481	+	1.01578i
$946$	−3.52400	+	10.3963i	−0.114575	+	0.338012i
$947$	−24.2494	+	7.12027i	−0.788000	+	0.231378i	−0.650884	−	0.759177i	$-0.725602\pi$
$947$	−24.2494	+	7.12027i	−0.788000	+	0.231378i	−0.137116	+	0.990555i	$0.543783\pi$
$948$	−27.9486	+	15.1741i	−0.907728	+	0.492831i
$949$	−16.8918	+	1.61297i	−0.548332	+	0.0523593i
$950$	0.560102	+	10.3648i	0.0181721	+	0.336279i
$951$	−17.7692	+	11.6374i	−0.576207	+	0.377368i
$952$	44.2698	−	7.23325i	1.43479	−	0.234431i
$953$	−13.2034	+	44.9666i	−0.427699	+	1.45661i	0.410809	+	0.911722i	$0.365246\pi$
$953$	−13.2034	+	44.9666i	−0.427699	+	1.45661i	−0.838508	+	0.544889i	$0.816572\pi$
$954$	−7.30510	+	1.58789i	−0.236511	+	0.0514097i
$955$	0.562561	+	1.09122i	0.0182040	+	0.0353109i
$956$	−18.5125	−	17.2056i	−0.598738	−	0.556470i
$957$	−2.08072	+	4.66216i	−0.0672603	+	0.150706i
$958$	−2.49962	−	1.42195i	−0.0807590	−	0.0459411i
$959$	−13.8514	+	19.4516i	−0.447285	+	0.628125i
$960$	15.2488	−	23.6935i	0.492154	−	0.764704i
$961$	−1.81767	−	0.727684i	−0.0586345	−	0.0234737i
$962$	−2.60801	+	14.0126i	−0.0840856	+	0.451785i
$963$	−17.5636	−	1.37184i	−0.565981	−	0.0442068i
$964$	28.8803	+	32.4819i	0.930172	+	1.04617i
$965$	34.2252	−	15.6301i	1.10175	−	0.503151i
$966$	27.0014	−	54.3640i	0.868757	−	1.74913i
$967$	22.4360	−	12.9534i	0.721494	−	0.416554i	−0.0938086	−	0.995590i	$-0.529904\pi$
$967$	22.4360	−	12.9534i	0.721494	−	0.416554i	0.815302	+	0.579036i	$0.196571\pi$
$968$	−48.5872	+	36.0213i	−1.56165	+	1.15777i
$969$	14.3208	+	71.0019i	0.460049	+	2.28091i
$970$	16.5167	−	15.9512i	0.530318	−	0.512163i
$971$	7.90724	+	32.5941i	0.253755	+	1.04599i	0.945958	+	0.324290i	$0.105125\pi$
$971$	7.90724	+	32.5941i	0.253755	+	1.04599i	−0.692202	+	0.721704i	$0.743359\pi$
$972$	−30.6614	−	5.64593i	−0.983466	−	0.181093i
$973$	4.19426	−	1.67913i	0.134462	−	0.0538304i
$974$	−55.0427	+	10.9736i	−1.76368	+	0.351618i
$975$	−2.16800	−	0.292647i	−0.0694316	−	0.00937221i
$976$	−19.0637	+	10.4528i	−0.610215	+	0.334587i
$977$	37.0320	−	12.8169i	1.18476	−	0.410049i	0.337549	−	0.941308i	$-0.390402\pi$
$977$	37.0320	−	12.8169i	1.18476	−	0.410049i	0.847209	+	0.531259i	$0.178281\pi$
$978$	4.23364	−	11.0532i	0.135377	−	0.353442i
$979$	19.9582	+	0.950725i	0.637866	+	0.0303853i
$980$	1.12296	−	13.5929i	0.0358718	−	0.434208i
$981$	26.0583	−	5.49018i	0.831979	−	0.175288i
$982$	0.144997	+	22.7038i	0.00462705	+	0.724506i
$983$	−1.50855	+	10.4922i	−0.0481153	+	0.334649i	0.951519	+	0.307591i	$0.0995230\pi$
$983$	−1.50855	+	10.4922i	−0.0481153	+	0.334649i	−0.999634	+	0.0270580i	$0.991386\pi$
$984$	−26.8299	+	36.1399i	−0.855307	+	1.15210i
$985$	7.01904	−	5.51983i	0.223645	−	0.175877i
$986$	−3.29364	−	1.47881i	−0.104891	−	0.0470948i
$987$	16.1285	+	34.5253i	0.513377	+	1.09895i
$988$	23.5151	+	7.80379i	0.748115	+	0.248271i
$989$	−8.55684	+	6.09330i	−0.272092	+	0.193756i
$990$	31.2644	−	37.8530i	0.993649	−	1.20305i
$991$	1.21517	+	1.89085i	0.0386013	+	0.0600648i	0.860018	−	0.510264i	$-0.170452\pi$
$991$	1.21517	+	1.89085i	0.0386013	+	0.0600648i	−0.821417	+	0.570329i	$0.806816\pi$
$992$	−17.1274	−	27.5918i	−0.543794	−	0.876040i
$993$	−3.36269	−	59.7439i	−0.106712	−	1.89592i
$994$	−21.6719	+	11.3484i	−0.687389	+	0.359949i
$995$	−22.1503	−	17.4192i	−0.702210	−	0.552224i
$996$	21.0624	+	2.56964i	0.667389	+	0.0814222i
$997$	35.4311	−	40.8897i	1.12211	−	1.29499i	0.171304	−	0.985218i	$-0.445202\pi$
$997$	35.4311	−	40.8897i	1.12211	−	1.29499i	0.950811	−	0.309771i	$-0.100252\pi$
$998$	11.1839	+	4.39469i	0.354020	+	0.139111i
$999$	−31.5163	−	17.1243i	−0.997132	−	0.541790i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	804.2.bd.a.35.7	yes	2640
3.2	odd	2	inner	804.2.bd.a.35.126	yes	2640
4.3	odd	2	inner	804.2.bd.a.35.24	yes	2640
12.11	even	2	inner	804.2.bd.a.35.109	yes	2640
67.23	even	33	inner	804.2.bd.a.23.109	yes	2640
201.23	odd	66	inner	804.2.bd.a.23.24	yes	2640
268.23	odd	66	inner	804.2.bd.a.23.126	yes	2640
804.23	even	66	inner	804.2.bd.a.23.7	✓	2640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
804.2.bd.a.23.7	✓	2640	804.23	even	66	inner
804.2.bd.a.23.24	yes	2640	201.23	odd	66	inner
804.2.bd.a.23.109	yes	2640	67.23	even	33	inner
804.2.bd.a.23.126	yes	2640	268.23	odd	66	inner
804.2.bd.a.35.7	yes	2640	1.1	even	1	trivial
804.2.bd.a.35.24	yes	2640	4.3	odd	2	inner
804.2.bd.a.35.109	yes	2640	12.11	even	2	inner
804.2.bd.a.35.126	yes	2640	3.2	odd	2	inner

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:	\( N \)	\(=\)	\( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	804.bd (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39851 + 0.210199i) q^{2} +(1.49247 - 0.878932i) q^{3} +(1.91163 - 0.587929i) q^{4} +(1.84970 + 0.844728i) q^{5} +(-1.90248 + 1.54291i) q^{6} +(-2.22048 + 2.32877i) q^{7} +(-2.54985 + 1.22405i) q^{8} +(1.45496 - 2.62357i) q^{9} +O(q^{10})\)	\(q+(-1.39851 + 0.210199i) q^{2} +(1.49247 - 0.878932i) q^{3} +(1.91163 - 0.587929i) q^{4} +(1.84970 + 0.844728i) q^{5} +(-1.90248 + 1.54291i) q^{6} +(-2.22048 + 2.32877i) q^{7} +(-2.54985 + 1.22405i) q^{8} +(1.45496 - 2.62357i) q^{9} +(-2.76437 - 0.792551i) q^{10} +(-5.66494 + 0.540936i) q^{11} +(2.33631 - 2.55766i) q^{12} +(1.43368 - 0.276319i) q^{13} +(2.61584 - 3.72354i) q^{14} +(3.50308 - 0.365022i) q^{15} +(3.30868 - 2.24781i) q^{16} +(2.25848 + 4.38084i) q^{17} +(-1.48330 + 3.97490i) q^{18} +(5.85505 + 6.14060i) q^{19} +(4.03258 + 0.527319i) q^{20} +(-1.26718 + 5.42728i) q^{21} +(7.80874 - 1.94727i) q^{22} +(7.14970 + 2.86231i) q^{23} +(-2.72973 + 4.06800i) q^{24} +(-0.566495 - 0.653770i) q^{25} +(-1.94693 + 0.687792i) q^{26} +(-0.134447 - 5.19441i) q^{27} +(-2.87559 + 5.75724i) q^{28} +(0.448574 - 0.258984i) q^{29} +(-4.82235 + 1.24683i) q^{30} +(-1.08647 + 5.63715i) q^{31} +(-4.15472 + 3.83905i) q^{32} +(-7.97933 + 5.78643i) q^{33} +(-4.07935 - 5.65190i) q^{34} +(-6.07439 + 2.43182i) q^{35} +(1.23887 - 5.87071i) q^{36} +(3.45141 - 5.97802i) q^{37} +(-9.47907 - 7.35694i) q^{38} +(1.89687 - 1.67251i) q^{39} +(-5.75042 + 0.110187i) q^{40} +(9.17731 + 0.437169i) q^{41} +(0.631343 - 7.85644i) q^{42} +(-0.737434 + 1.14747i) q^{43} +(-10.5113 + 4.36466i) q^{44} +(4.90743 - 3.62375i) q^{45} +(-10.6005 - 2.50009i) q^{46} +(5.37460 - 4.22663i) q^{47} +(2.96245 - 6.26290i) q^{48} +(-0.159575 - 3.34990i) q^{49} +(0.929668 + 0.795224i) q^{50} +(7.22119 + 4.55324i) q^{51} +(2.57821 - 1.37112i) q^{52} +(0.952628 + 1.48232i) q^{53} +(1.27989 + 7.23615i) q^{54} +(-10.9354 - 3.78476i) q^{55} +(2.81135 - 8.65597i) q^{56} +(14.1357 + 4.01850i) q^{57} +(-0.572894 + 0.456480i) q^{58} +(-2.95889 + 3.41474i) q^{59} +(6.48200 - 2.75735i) q^{60} +(-5.41073 - 0.516663i) q^{61} +(0.334512 - 8.11196i) q^{62} +(2.87898 + 9.21383i) q^{63} +(5.00342 - 6.24226i) q^{64} +(2.88529 + 0.699963i) q^{65} +(9.94283 - 9.76960i) q^{66} +(-8.01598 - 1.65653i) q^{67} +(6.89301 + 7.04673i) q^{68} +(13.1865 - 2.01218i) q^{69} +(7.98389 - 4.67774i) q^{70} +(-4.77831 - 2.46339i) q^{71} +(-0.498555 + 8.47062i) q^{72} +(-11.5692 - 1.10473i) q^{73} +(-3.57024 + 9.08577i) q^{74} +(-1.42010 - 0.477825i) q^{75} +(14.8029 + 8.29622i) q^{76} +(11.3192 - 14.3935i) q^{77} +(-2.30122 + 2.73773i) q^{78} +(-8.67557 - 3.00264i) q^{79} +(8.01883 - 1.36283i) q^{80} +(-4.76619 - 7.63436i) q^{81} +(-12.9264 + 1.31768i) q^{82} +(3.55301 + 4.98951i) q^{83} +(0.768481 + 11.1200i) q^{84} +(0.476884 + 10.0110i) q^{85} +(0.790108 - 1.75975i) q^{86} +(0.441855 - 0.780793i) q^{87} +(13.7826 - 8.31345i) q^{88} +(-3.47539 - 0.499686i) q^{89} +(-6.10135 + 6.09938i) q^{90} +(-2.53997 + 3.95227i) q^{91} +(15.3504 + 1.26816i) q^{92} +(3.33314 + 9.36824i) q^{93} +(-6.62797 + 7.04070i) q^{94} +(5.64293 + 16.3042i) q^{95} +(-2.82654 + 9.38140i) q^{96} +(-3.99232 + 6.91491i) q^{97} +(0.927313 + 4.65131i) q^{98} +(-6.82307 + 15.6494i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9}+O(q^{10}) \) 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9	\( 2640 q - 42 q^{4} - 19 q^{6} - 32 q^{9} - 46 q^{10} - 24 q^{12} - 88 q^{13} - 26 q^{16} - 23 q^{18} - 128 q^{22} - 22 q^{24} + 160 q^{25} + 44 q^{28} - 18 q^{30} - 44 q^{33} - 6 q^{34} - 35 q^{36} - 48 q^{37} - 92 q^{40} - 10 q^{42} + 40 q^{45} + 46 q^{46} - 11 q^{48} - 216 q^{49} - 76 q^{52} + 129 q^{54} - 42 q^{57} - 56 q^{58} - 90 q^{60} - 80 q^{61} - 48 q^{64} - 74 q^{66} - 4 q^{69} + 96 q^{70} - 20 q^{72} - 216 q^{73} + 76 q^{76} - 66 q^{78} - 16 q^{81} + 20 q^{82} - 55 q^{84} - 104 q^{85} - 30 q^{88} - 64 q^{90} - 192 q^{93} - 32 q^{94} - 205 q^{96} - 64 q^{97}+O(q^{100}) \) 2640 * q - 42 * q^4 - 19 * q^6 - 32 * q^9 - 46 * q^10 - 24 * q^12 - 88 * q^13 - 26 * q^16 - 23 * q^18 - 128 * q^22 - 22 * q^24 + 160 * q^25 + 44 * q^28 - 18 * q^30 - 44 * q^33 - 6 * q^34 - 35 * q^36 - 48 * q^37 - 92 * q^40 - 10 * q^42 + 40 * q^45 + 46 * q^46 - 11 * q^48 - 216 * q^49 - 76 * q^52 + 129 * q^54 - 42 * q^57 - 56 * q^58 - 90 * q^60 - 80 * q^61 - 48 * q^64 - 74 * q^66 - 4 * q^69 + 96 * q^70 - 20 * q^72 - 216 * q^73 + 76 * q^76 - 66 * q^78 - 16 * q^81 + 20 * q^82 - 55 * q^84 - 104 * q^85 - 30 * q^88 - 64 * q^90 - 192 * q^93 - 32 * q^94 - 205 * q^96 - 64 * q^97

Introduction

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