LMFDB - Embedded newform 99.2.m.b.97.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [99,2,Mod(4,99)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("99.4"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(99, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([10, 6])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.m (of order $15$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [72] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$9$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			97.3
Character	$\chi$	$=$	99.97
Dual form			99.2.m.b.49.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.992662 - 1.10246i) q^{2} +(1.70995 + 0.275817i) q^{3} +(-0.0209894 + 0.199701i) q^{4} +(-0.0483964 + 0.0537496i) q^{5} +(-1.39332 - 2.15895i) q^{6} +(1.78161 - 0.793226i) q^{7} +(-2.15937 + 1.56887i) q^{8} +(2.84785 + 0.943265i) q^{9} +0.107298 q^{10} +(-2.15852 - 2.51810i) q^{11} +(-0.0909718 + 0.335689i) q^{12} +(-1.08533 + 0.230693i) q^{13} +(-2.64304 - 1.17676i) q^{14} +(-0.0975803 + 0.0785605i) q^{15} +(4.26598 + 0.906761i) q^{16} +(-0.0576906 - 0.177553i) q^{17} +(-1.78704 - 4.07599i) q^{18} +(-4.20255 + 3.05333i) q^{19} +(-0.00971804 - 0.0107930i) q^{20} +(3.26525 - 0.864976i) q^{21} +(-0.633432 + 4.87930i) q^{22} +(3.42420 + 5.93089i) q^{23} +(-4.12514 + 2.08710i) q^{24} +(0.522096 + 4.96741i) q^{25} +(1.33169 + 0.967532i) q^{26} +(4.60951 + 2.39842i) q^{27} +(0.121013 + 0.372440i) q^{28} +(-2.95048 + 1.31364i) q^{29} +(0.183474 + 0.0295946i) q^{30} +(-1.61139 + 0.342511i) q^{31} +(-0.565872 - 0.980120i) q^{32} +(-2.99642 - 4.90117i) q^{33} +(-0.138479 + 0.239852i) q^{34} +(-0.0435881 + 0.134150i) q^{35} +(-0.248146 + 0.548920i) q^{36} +(-7.75416 - 5.63373i) q^{37} +(7.53790 + 1.60223i) q^{38} +(-1.91948 + 0.0951224i) q^{39} +(0.0201793 - 0.191993i) q^{40} +(4.62566 + 2.05948i) q^{41} +(-4.19490 - 2.74119i) q^{42} +(4.06266 - 7.03673i) q^{43} +(0.548173 - 0.378204i) q^{44} +(-0.188526 + 0.107420i) q^{45} +(3.13951 - 9.66242i) q^{46} +(-0.907572 - 8.63497i) q^{47} +(7.04450 + 2.72714i) q^{48} +(-2.13897 + 2.37557i) q^{49} +(4.95812 - 5.50655i) q^{50} +(-0.0496758 - 0.319519i) q^{51} +(-0.0232893 - 0.221583i) q^{52} +(0.467571 - 1.43904i) q^{53} +(-1.93152 - 7.46263i) q^{54} +(0.239811 + 0.00584740i) q^{55} +(-2.60269 + 4.50800i) q^{56} +(-8.02831 + 4.06191i) q^{57} +(4.37707 + 1.94880i) q^{58} +(0.554654 - 5.27718i) q^{59} +(-0.0136405 - 0.0211358i) q^{60} +(-6.92183 - 1.47128i) q^{61} +(1.97717 + 1.43649i) q^{62} +(5.82199 - 0.578453i) q^{63} +(2.17659 - 6.69887i) q^{64} +(0.0401262 - 0.0695006i) q^{65} +(-2.42893 + 8.16864i) q^{66} +(-0.447660 - 0.775370i) q^{67} +(0.0366685 - 0.00779413i) q^{68} +(4.21937 + 11.0860i) q^{69} +(0.191164 - 0.0851116i) q^{70} +(-0.476791 - 1.46741i) q^{71} +(-7.62943 + 2.43106i) q^{72} +(9.31301 + 6.76630i) q^{73} +(1.48629 + 14.1411i) q^{74} +(-0.477338 + 8.63801i) q^{75} +(-0.521545 - 0.903343i) q^{76} +(-5.84306 - 2.77409i) q^{77} +(2.01027 + 2.02173i) q^{78} +(-8.87869 - 9.86078i) q^{79} +(-0.255196 + 0.185411i) q^{80} +(7.22050 + 5.37256i) q^{81} +(-2.32122 - 7.14398i) q^{82} +(17.5744 + 3.73556i) q^{83} +(0.104201 + 0.670230i) q^{84} +(0.0123354 + 0.00549209i) q^{85} +(-11.7906 + 2.50616i) q^{86} +(-5.40749 + 1.43246i) q^{87} +(8.61161 + 2.05107i) q^{88} -12.3990 q^{89} +(0.305569 + 0.101211i) q^{90} +(-1.75064 + 1.27192i) q^{91} +(-1.25628 + 0.559331i) q^{92} +(-2.84986 + 0.141228i) q^{93} +(-8.61882 + 9.57217i) q^{94} +(0.0392728 - 0.373656i) q^{95} +(-0.697279 - 1.83203i) q^{96} +(6.99476 + 7.76847i) q^{97} +4.74225 q^{98} +(-3.77189 - 9.20722i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) $ 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{3}{5}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.992662	−	1.10246i	−0.701918	−	0.779559i	0.281762	−	0.959484i	$-0.409081\pi$
$2$	−0.992662	−	1.10246i	−0.701918	−	0.779559i	−0.983680	+	0.179925i	$0.942414\pi$
$3$	1.70995	+	0.275817i	0.987239	+	0.159243i
$3$	1.70995	+	0.275817i	0.987239	+	0.159243i
$4$	−0.0209894	+	0.199701i	−0.0104947	+	0.0998506i
$5$	−0.0483964	+	0.0537496i	−0.0216435	+	0.0240376i	−0.753869	−	0.657024i	$-0.771815\pi$
$5$	−0.0483964	+	0.0537496i	−0.0216435	+	0.0240376i	0.732226	+	0.681062i	$0.238482\pi$
$6$	−1.39332	−	2.15895i	−0.568822	−	0.881387i
$7$	1.78161	−	0.793226i	0.673387	−	0.299811i	−0.0414112	−	0.999142i	$-0.513185\pi$
$7$	1.78161	−	0.793226i	0.673387	−	0.299811i	0.714798	+	0.699331i	$0.246519\pi$
$8$	−2.15937	+	1.56887i	−0.763453	+	0.554681i
$9$	2.84785	+	0.943265i	0.949283	+	0.314422i
$10$	0.107298			0.0339307
$11$	−2.15852	−	2.51810i	−0.650817	−	0.759235i
$11$	−2.15852	−	2.51810i	−0.650817	−	0.759235i
$12$	−0.0909718	+	0.335689i	−0.0262613	+	0.0969052i
$13$	−1.08533	+	0.230693i	−0.301015	+	0.0639828i	−0.355943	−	0.934508i	$-0.615840\pi$
$13$	−1.08533	+	0.230693i	−0.301015	+	0.0639828i	0.0549280	+	0.998490i	$0.482507\pi$
$14$	−2.64304	−	1.17676i	−0.706383	−	0.314502i
$15$	−0.0975803	+	0.0785605i	−0.0251951	+	0.0202842i
$16$	4.26598	+	0.906761i	1.06649	+	0.226690i
$17$	−0.0576906	−	0.177553i	−0.0139920	−	0.0430630i	0.943817	−	0.330469i	$-0.107207\pi$
$17$	−0.0576906	−	0.177553i	−0.0139920	−	0.0430630i	−0.957809	+	0.287406i	$0.907207\pi$
$18$	−1.78704	−	4.07599i	−0.421209	−	0.960720i
$19$	−4.20255	+	3.05333i	−0.964132	+	0.700483i	−0.954107	−	0.299467i	$-0.903191\pi$
$19$	−4.20255	+	3.05333i	−0.964132	+	0.700483i	−0.0100254	+	0.999950i	$0.503191\pi$
$20$	−0.00971804	−	0.0107930i	−0.00217302	−	0.00241338i
$21$	3.26525	−	0.864976i	0.712537	−	0.188753i
$22$	−0.633432	+	4.87930i	−0.135048	+	1.04027i
$23$	3.42420	+	5.93089i	0.713995	+	1.23668i	0.963346	+	0.268263i	$0.0864495\pi$
$23$	3.42420	+	5.93089i	0.713995	+	1.23668i	−0.249351	+	0.968413i	$0.580217\pi$
$24$	−4.12514	+	2.08710i	−0.842040	+	0.426028i
$25$	0.522096	+	4.96741i	0.104419	+	0.993481i
$26$	1.33169	+	0.967532i	0.261166	+	0.189749i
$27$	4.60951	+	2.39842i	0.887101	+	0.461576i
$28$	0.121013	+	0.372440i	0.0228693	+	0.0703845i
$29$	−2.95048	+	1.31364i	−0.547890	+	0.243937i	−0.661964	−	0.749536i	$-0.730277\pi$
$29$	−2.95048	+	1.31364i	−0.547890	+	0.243937i	0.114073	+	0.993472i	$0.463610\pi$
$30$	0.183474	+	0.0295946i	0.0334977	+	0.00540322i
$31$	−1.61139	+	0.342511i	−0.289413	+	0.0615167i	−0.350331	−	0.936626i	$-0.613931\pi$
$31$	−1.61139	+	0.342511i	−0.289413	+	0.0615167i	0.0609172	+	0.998143i	$0.480597\pi$
$32$	−0.565872	−	0.980120i	−0.100033	−	0.173262i
$33$	−2.99642	−	4.90117i	−0.521609	−	0.853184i
$34$	−0.138479	+	0.239852i	−0.0237489	+	0.0411343i
$35$	−0.0435881	+	0.134150i	−0.00736773	+	0.0226755i
$36$	−0.248146	+	0.548920i	−0.0413576	+	0.0914867i
$37$	−7.75416	−	5.63373i	−1.27478	−	0.926179i	−0.275395	−	0.961331i	$-0.588808\pi$
$37$	−7.75416	−	5.63373i	−1.27478	−	0.926179i	−0.999382	+	0.0351519i	$0.988808\pi$
$38$	7.53790	+	1.60223i	1.22281	+	0.259916i
$39$	−1.91948	+	0.0951224i	−0.307363	+	0.0152318i
$40$	0.0201793	−	0.191993i	0.00319063	−	0.0303568i
$41$	4.62566	+	2.05948i	0.722407	+	0.321636i	0.734797	−	0.678287i	$-0.237277\pi$
$41$	4.62566	+	2.05948i	0.722407	+	0.321636i	−0.0123903	+	0.999923i	$0.503944\pi$
$42$	−4.19490	−	2.74119i	−0.647287	−	0.422975i
$43$	4.06266	−	7.03673i	0.619549	−	1.07309i	−0.370019	−	0.929024i	$-0.620649\pi$
$43$	4.06266	−	7.03673i	0.619549	−	1.07309i	0.989568	−	0.144066i	$-0.0460179\pi$
$44$	0.548173	−	0.378204i	0.0826402	−	0.0570165i
$45$	−0.188526	+	0.107420i	−0.0281038	+	0.0160133i
$46$	3.13951	−	9.66242i	0.462896	−	1.42465i
$47$	−0.907572	−	8.63497i	−0.132383	−	1.25954i	−0.835908	−	0.548869i	$-0.815058\pi$
$47$	−0.907572	−	8.63497i	−0.132383	−	1.25954i	0.703525	−	0.710670i	$-0.251608\pi$
$48$	7.04450	+	2.72714i	1.01679	+	0.393629i
$49$	−2.13897	+	2.37557i	−0.305568	+	0.339367i
$50$	4.95812	−	5.50655i	0.701183	−	0.778743i
$51$	−0.0496758	−	0.319519i	−0.00695600	−	0.0447416i
$52$	−0.0232893	−	0.221583i	−0.00322965	−	0.0307280i
$53$	0.467571	−	1.43904i	0.0642259	−	0.197667i	−0.913794	−	0.406177i	$-0.866862\pi$
$53$	0.467571	−	1.43904i	0.0642259	−	0.197667i	0.978020	+	0.208510i	$0.0668615\pi$
$54$	−1.93152	−	7.46263i	−0.262846	−	1.01554i
$55$	0.239811	+	0.00584740i	0.0323361	+	0.000788463i
$56$	−2.60269	+	4.50800i	−0.347800	+	0.602406i
$57$	−8.02831	+	4.06191i	−1.06338	+	0.538013i
$58$	4.37707	+	1.94880i	0.574737	+	0.255889i
$59$	0.554654	−	5.27718i	0.0722098	−	0.687030i	−0.897207	−	0.441610i	$-0.854407\pi$
$59$	0.554654	−	5.27718i	0.0722098	−	0.687030i	0.969417	−	0.245420i	$-0.0789259\pi$
$60$	−0.0136405	−	0.0211358i	−0.00176098	−	0.00272863i
$61$	−6.92183	−	1.47128i	−0.886249	−	0.188378i	−0.257772	−	0.966206i	$-0.582988\pi$
$61$	−6.92183	−	1.47128i	−0.886249	−	0.188378i	−0.628477	+	0.777828i	$0.716322\pi$
$62$	1.97717	+	1.43649i	0.251100	+	0.182435i
$63$	5.82199	−	0.578453i	0.733502	−	0.0728783i
$64$	2.17659	−	6.69887i	0.272074	−	0.837359i
$65$	0.0401262	−	0.0695006i	0.00497704	−	0.00862049i
$66$	−2.42893	+	8.16864i	−0.298981	+	1.00549i
$67$	−0.447660	−	0.775370i	−0.0546904	−	0.0947265i	0.837384	−	0.546615i	$-0.184084\pi$
$67$	−0.447660	−	0.775370i	−0.0546904	−	0.0947265i	−0.892074	+	0.451888i	$0.850751\pi$
$68$	0.0366685	−	0.00779413i	0.00444671	−	0.000945177i
$69$	4.21937	+	11.0860i	0.507952	+	1.33459i
$70$	0.191164	−	0.0851116i	0.0228485	−	0.0101728i
$71$	−0.476791	−	1.46741i	−0.0565847	−	0.174150i	0.918770	−	0.394794i	$-0.129184\pi$
$71$	−0.476791	−	1.46741i	−0.0565847	−	0.174150i	−0.975354	+	0.220644i	$0.929184\pi$
$72$	−7.62943	+	2.43106i	−0.899137	+	0.286503i
$73$	9.31301	+	6.76630i	1.09001	+	0.791935i	0.979400	−	0.201929i	$-0.0647211\pi$
$73$	9.31301	+	6.76630i	1.09001	+	0.791935i	0.110605	+	0.993864i	$0.464721\pi$
$74$	1.48629	+	14.1411i	0.172777	+	1.64387i
$75$	−0.477338	+	8.63801i	−0.0551182	+	0.997432i
$76$	−0.521545	−	0.903343i	−0.0598253	−	0.103620i
$77$	−5.84306	−	2.77409i	−0.665878	−	0.316137i
$78$	2.01027	+	2.02173i	0.227618	+	0.228916i
$79$	−8.87869	−	9.86078i	−0.998930	−	1.10942i	−0.993994	−	0.109437i	$-0.965095\pi$
$79$	−8.87869	−	9.86078i	−0.998930	−	1.10942i	−0.00493674	−	0.999988i	$-0.501571\pi$
$80$	−0.255196	+	0.185411i	−0.0285318	+	0.0207295i
$81$	7.22050	+	5.37256i	0.802278	+	0.596951i
$82$	−2.32122	−	7.14398i	−0.256336	−	0.788921i
$83$	17.5744	+	3.73556i	1.92905	+	0.410031i	0.999104	+	0.0423259i	$0.0134768\pi$
$83$	17.5744	+	3.73556i	1.92905	+	0.410031i	0.929942	+	0.367706i	$0.119857\pi$
$84$	0.104201	+	0.670230i	0.0113692	+	0.0731281i
$85$	0.0123354	+	0.00549209i	0.00133797	+	0.000595701i
$86$	−11.7906	+	2.50616i	−1.27141	+	0.270247i
$87$	−5.40749	+	1.43246i	−0.579744	+	0.153576i
$88$	8.61161	+	2.05107i	0.918001	+	0.218644i
$89$	−12.3990			−1.31429			−0.657145	−	0.753764i	$-0.728236\pi$
$89$	−12.3990			−1.31429			−0.657145	+	0.753764i	$0.728236\pi$
$90$	0.305569	+	0.101211i	0.0322098	+	0.0106685i
$91$	−1.75064	+	1.27192i	−0.183517	+	0.133333i
$92$	−1.25628	+	0.559331i	−0.130976	+	0.0583142i
$93$	−2.84986	+	0.141228i	−0.295516	+	0.0146447i
$94$	−8.61882	+	9.57217i	−0.888963	+	0.987294i
$95$	0.0392728	−	0.373656i	0.00402931	−	0.0383363i
$96$	−0.697279	−	1.83203i	−0.0711658	−	0.186981i
$97$	6.99476	+	7.76847i	0.710211	+	0.788769i	0.984967	−	0.172745i	$-0.0552637\pi$
$97$	6.99476	+	7.76847i	0.710211	+	0.788769i	−0.274756	+	0.961514i	$0.588597\pi$
$98$	4.74225			0.479040
$99$	−3.77189	−	9.20722i	−0.379090	−	0.925360i
$100$	−1.00296			−0.100296
$101$	−2.31661	−	2.57286i	−0.230511	−	0.256009i	0.616782	−	0.787134i	$-0.288436\pi$
$101$	−2.31661	−	2.57286i	−0.230511	−	0.256009i	−0.847293	+	0.531125i	$0.821769\pi$
$102$	−0.302947	+	0.371940i	−0.0299962	+	0.0368276i
$103$	1.86938	−	17.7860i	0.184196	−	1.75251i	−0.378278	−	0.925692i	$-0.623484\pi$
$103$	1.86938	−	17.7860i	0.184196	−	1.75251i	0.562474	−	0.826815i	$-0.309850\pi$
$104$	1.98169	−	2.20089i	0.194321	−	0.215815i
$105$	−0.111534	+	0.217368i	−0.0108846	+	0.0212129i
$106$	−2.05062	+	0.912997i	−0.199174	+	0.0886781i
$107$	11.3281	−	8.23036i	1.09513	−	0.795659i	0.114872	−	0.993380i	$-0.463354\pi$
$107$	11.3281	−	8.23036i	1.09513	−	0.795659i	0.980258	+	0.197722i	$0.0633542\pi$
$108$	−0.575718	+	0.870183i	−0.0553985	+	0.0837334i
$109$	−5.00844			−0.479722			−0.239861	−	0.970807i	$-0.577102\pi$
$109$	−5.00844			−0.479722			−0.239861	+	0.970807i	$0.577102\pi$
$110$	−0.231605	−	0.270187i	−0.0220826	−	0.0257613i
$111$	−11.7053	−	11.7721i	−1.11102	−	1.11736i
$112$	8.31959	−	1.76838i	0.786127	−	0.167097i
$113$	−10.3139	−	4.59206i	−0.970252	−	0.431984i	−0.140478	−	0.990084i	$-0.544864\pi$
$113$	−10.3139	−	4.59206i	−0.970252	−	0.431984i	−0.829774	+	0.558100i	$0.811531\pi$
$114$	12.4475	+	4.81881i	1.16582	+	0.451323i
$115$	−0.484502	−	0.102984i	−0.0451800	−	0.00960331i
$116$	−0.200406	−	0.616787i	−0.0186072	−	0.0572672i
$117$	−3.30845	−	0.366771i	−0.305867	−	0.0339080i
$118$	−6.36848	+	4.62697i	−0.586266	+	0.425947i
$119$	−0.243622	−	0.270570i	−0.0223328	−	0.0248031i
$120$	0.0874605	−	0.322733i	0.00798401	−	0.0294613i
$121$	−1.68162	+	10.8707i	−0.152875	+	0.988246i
$122$	5.24900	+	9.09154i	0.475222	+	0.823109i
$123$	7.34160	+	4.79743i	0.661970	+	0.432570i
$124$	−0.0345777	−	0.328985i	−0.00310517	−	0.0295437i
$125$	−0.584833	−	0.424906i	−0.0523091	−	0.0380048i
$126$	−6.41699	−	5.84432i	−0.571671	−	0.520653i
$127$	6.14382	+	18.9087i	0.545176	+	1.67788i	0.720570	+	0.693382i	$0.243880\pi$
$127$	6.14382	+	18.9087i	0.545176	+	1.67788i	−0.175394	+	0.984498i	$0.556120\pi$
$128$	−11.6137	+	5.17074i	−1.02651	+	0.457033i
$129$	8.88778	−	10.9119i	0.782525	−	0.960739i
$130$	−0.116454	+	0.0247530i	−0.0102137	+	0.00217098i
$131$	4.33332	+	7.50552i	0.378604	+	0.655761i	0.990859	−	0.134899i	$-0.0430711\pi$
$131$	4.33332	+	7.50552i	0.378604	+	0.655761i	−0.612256	+	0.790660i	$0.709738\pi$
$132$	1.04166	−	0.495515i	0.0906651	−	0.0431290i
$133$	−5.06535	+	8.77344i	−0.439221	+	0.760753i
$134$	−0.410441	+	1.26321i	−0.0354567	+	0.109125i
$135$	−0.351998	+	0.131685i	−0.0302951	+	0.0113336i
$136$	0.403134	+	0.292894i	0.0345685	+	0.0251155i
$137$	−7.16590	−	1.52316i	−0.612225	−	0.130132i	−0.108644	−	0.994081i	$-0.534651\pi$
$137$	−7.16590	−	1.52316i	−0.612225	−	0.130132i	−0.503580	+	0.863948i	$0.667984\pi$
$138$	8.03346	−	15.6563i	0.683853	−	1.33275i
$139$	0.548446	−	5.21812i	0.0465186	−	0.442595i	−0.946329	−	0.323205i	$-0.895240\pi$
$139$	0.548446	−	5.21812i	0.0465186	−	0.442595i	0.992847	−	0.119390i	$-0.0380938\pi$
$140$	−0.0258751	−	0.0115203i	−0.00218684	−	0.000973645i
$141$	0.829768	−	15.0157i	0.0698791	−	1.26455i
$142$	−1.14448	+	1.98229i	−0.0960423	+	0.166350i
$143$	2.92360	+	2.23500i	0.244484	+	0.186900i
$144$	11.2935	+	6.60627i	0.941129	+	0.550522i
$145$	0.0721850	−	0.222162i	0.00599463	−	0.0184496i
$146$	−1.78508	−	16.9839i	−0.147734	−	1.40560i
$147$	−4.31276	+	3.47214i	−0.355710	+	0.286377i
$148$	1.28782	−	1.43027i	0.105858	−	0.117567i
$149$	1.44722	−	1.60730i	0.118561	−	0.131675i	−0.680942	−	0.732337i	$-0.738430\pi$
$149$	1.44722	−	1.60730i	0.118561	−	0.131675i	0.799503	+	0.600662i	$0.205096\pi$
$150$	9.99692	−	8.04838i	0.816245	−	0.657147i
$151$	−0.729131	−	6.93722i	−0.0593358	−	0.564543i	−0.983291	−	0.182042i	$-0.941729\pi$
$151$	−0.729131	−	6.93722i	−0.0593358	−	0.564543i	0.923955	−	0.382501i	$-0.124937\pi$
$152$	4.28457	−	13.1866i	0.347525	−	1.06957i
$153$	0.00318575	−	0.560063i	0.000257553	−	0.0452784i
$154$	2.74185	+	9.19548i	0.220945	+	0.740993i
$155$	0.0595754	−	0.103188i	0.00478521	−	0.00828823i
$156$	0.0212928	−	0.385319i	0.00170479	−	0.0308502i
$157$	16.1215	+	7.17774i	1.28663	+	0.572846i	0.932101	−	0.362198i	$-0.117973\pi$
$157$	16.1215	+	7.17774i	1.28663	+	0.572846i	0.354532	+	0.935044i	$0.384640\pi$
$158$	−2.05761	+	19.5768i	−0.163695	+	1.55745i
$159$	1.19643	−	2.33172i	0.0948834	−	0.184917i
$160$	0.0800672	+	0.0170188i	0.00632987	+	0.00134546i
$161$	10.8051	+	7.85039i	0.851564	+	0.618697i
$162$	−1.24447	−	13.2935i	−0.0977751	−	1.04443i
$163$	1.14520	−	3.52457i	0.0896991	−	0.276065i	−0.896137	−	0.443778i	$-0.853638\pi$
$163$	1.14520	−	3.52457i	0.0896991	−	0.276065i	0.985836	+	0.167712i	$0.0536380\pi$
$164$	−0.508370	+	0.880522i	−0.0396970	+	0.0687572i
$165$	0.408452	+	0.0761426i	0.0317979	+	0.00592770i
$166$	−13.3272	−	23.0833i	−1.03439	−	1.79161i
$167$	1.98612	−	0.422162i	0.153690	−	0.0326679i	−0.130424	−	0.991458i	$-0.541634\pi$
$167$	1.98612	−	0.422162i	0.153690	−	0.0326679i	0.284114	+	0.958790i	$0.408301\pi$
$168$	−5.69385	+	6.99058i	−0.439290	+	0.539335i
$169$	−10.7514	+	4.78682i	−0.827029	+	0.368217i
$170$	−0.00619009	−	0.0190511i	−0.000474758	−	0.00146116i
$171$	−14.8484	+	4.73132i	−1.13548	+	0.361813i
$172$	1.31997	+	0.959014i	0.100647	+	0.0731241i
$173$	−0.899395	−	8.55717i	−0.0683798	−	0.650590i	−0.974007	−	0.226516i	$-0.927266\pi$
$173$	−0.899395	−	8.55717i	−0.0683798	−	0.650590i	0.905628	−	0.424074i	$-0.139400\pi$
$174$	6.94705	+	4.53961i	0.526654	+	0.344147i
$175$	4.87045	+	8.43586i	0.368171	+	0.637691i
$176$	−6.92486	−	12.6994i	−0.521981	−	0.957253i
$177$	2.40396	−	8.87073i	0.180693	−	0.666765i
$178$	12.3080	+	13.6694i	0.922524	+	1.02457i
$179$	−2.03852	+	1.48107i	−0.152366	+	0.110701i	−0.661357	−	0.750072i	$-0.730019\pi$
$179$	−2.03852	+	1.48107i	−0.152366	+	0.110701i	0.508990	+	0.860772i	$0.330019\pi$
$180$	−0.0174949	−	0.0399035i	−0.00130399	−	0.00297423i
$181$	4.40514	+	13.5576i	0.327432	+	1.00773i	0.970331	+	0.241780i	$0.0777314\pi$
$181$	4.40514	+	13.5576i	0.327432	+	1.00773i	−0.642899	+	0.765951i	$0.722269\pi$
$182$	3.14003	+	0.667435i	0.232755	+	0.0494735i
$183$	−11.4302	−	4.42497i	−0.844942	−	0.327103i
$184$	−16.6989	−	7.43485i	−1.23106	−	0.548104i
$185$	0.678084	−	0.144131i	0.0498537	−	0.0105967i
$186$	2.98464	+	3.00167i	0.218845	+	0.220093i
$187$	−0.322571	+	0.528522i	−0.0235887	+	0.0386494i
$188$	1.74346			0.127155
$189$	10.1149	+	0.616677i	0.735747	+	0.0448567i
$190$	−0.450926	+	0.327617i	−0.0327136	+	0.0237678i
$191$	−15.6220	+	6.95537i	−1.13037	+	0.503273i	−0.884737	−	0.466090i	$-0.845662\pi$
$191$	−15.6220	+	6.95537i	−1.13037	+	0.503273i	−0.245632	+	0.969363i	$0.578996\pi$
$192$	5.56953	−	10.8544i	0.401946	−	0.783348i
$193$	11.1338	−	12.3654i	0.801430	−	0.890078i	−0.194436	−	0.980915i	$-0.562288\pi$
$193$	11.1338	−	12.3654i	0.801430	−	0.890078i	0.995866	+	0.0908374i	$0.0289543\pi$
$194$	1.62102	−	15.4229i	0.116382	−	1.10730i
$195$	0.0877832	−	0.107775i	0.00628628	−	0.00771793i
$196$	−0.429508	−	0.477017i	−0.0306792	−	0.0340727i
$197$	−20.1670			−1.43684			−0.718421	−	0.695609i	$-0.755135\pi$
$197$	−20.1670			−1.43684			−0.718421	+	0.695609i	$0.755135\pi$
$198$	−6.40639	+	13.2980i	−0.455283	+	0.945049i
$199$	15.9840			1.13308			0.566539	−	0.824035i	$-0.308282\pi$
$199$	15.9840			1.13308			0.566539	+	0.824035i	$0.308282\pi$
$200$	−8.92064	−	9.90737i	−0.630784	−	0.700557i
$201$	−0.551616	−	1.44931i	−0.0389080	−	0.102227i
$202$	−0.536868	+	5.10795i	−0.0377739	+	0.359394i
$203$	−4.21460	+	4.68079i	−0.295807	+	0.328527i
$204$	0.0648510	−	0.00321378i	0.00454048	−	0.000225009i
$205$	−0.334561	+	0.148956i	−0.0233668	+	0.0104036i
$206$	−21.4641	+	15.5946i	−1.49547	+	1.08652i
$207$	4.15721	+	20.1202i	0.288946	+	1.39845i
$208$	−4.83916			−0.335535
$209$	16.7599	+	3.99177i	1.15930	+	0.276117i
$210$	0.350356	−	0.0928103i	0.0241768	−	0.00640452i
$211$	9.59130	−	2.03869i	0.660292	−	0.140349i	0.134435	−	0.990922i	$-0.457078\pi$
$211$	9.59130	−	2.03869i	0.660292	−	0.140349i	0.525857	+	0.850573i	$0.323745\pi$
$212$	0.277563	+	0.123579i	0.0190631	+	0.00848745i
$213$	−0.410552	−	2.64071i	−0.0281305	−	0.180938i
$214$	−20.3186	−	4.31886i	−1.38895	−	0.295231i
$215$	0.181604	+	0.558918i	0.0123853	+	0.0381179i
$216$	−13.7165	+	2.05267i	−0.933287	+	0.139666i
$217$	−2.59918	+	1.88841i	−0.176444	+	0.128194i
$218$	4.97169	+	5.52162i	0.336725	+	0.373971i
$219$	14.0585	+	14.1387i	0.949986	+	0.955405i
$220$	−0.00620123	+	0.0477678i	−0.000418087	+	0.00322050i
$221$	0.103573	+	0.179395i	0.00696711	+	0.0120674i
$222$	−1.35887	+	24.5904i	−0.0912014	+	1.65040i
$223$	−1.76733	−	16.8151i	−0.118349	−	1.12602i	−0.878988	−	0.476844i	$-0.841781\pi$
$223$	−1.76733	−	16.8151i	−0.118349	−	1.12602i	0.760638	−	0.649176i	$-0.224886\pi$
$224$	−1.78562	−	1.29733i	−0.119307	−	0.0866815i
$225$	−3.19873	+	14.6389i	−0.213249	+	0.975927i
$226$	5.17567	+	15.9291i	0.344280	+	1.05959i
$227$	2.90868	−	1.29503i	0.193056	−	0.0859541i	−0.307932	−	0.951408i	$-0.599637\pi$
$227$	2.90868	−	1.29503i	0.193056	−	0.0859541i	0.500988	+	0.865454i	$0.332970\pi$
$228$	−0.642658	−	1.68852i	−0.0425611	−	0.111825i
$229$	−4.71589	+	1.00239i	−0.311635	+	0.0662400i	−0.361074	−	0.932537i	$-0.617590\pi$
$229$	−4.71589	+	1.00239i	−0.311635	+	0.0662400i	0.0494393	+	0.998777i	$0.484257\pi$
$230$	0.367410	+	0.636373i	0.0242263	+	0.0419612i
$231$	−9.22619	−	6.35516i	−0.607039	−	0.418139i
$232$	4.31025	−	7.46557i	0.282982	−	0.490138i
$233$	−6.50281	+	20.0136i	−0.426013	+	1.31113i	0.476007	+	0.879441i	$0.342084\pi$
$233$	−6.50281	+	20.0136i	−0.426013	+	1.31113i	−0.902021	+	0.431693i	$0.857916\pi$
$234$	2.87982	+	4.01152i	0.188260	+	0.262242i
$235$	0.508049	+	0.369120i	0.0331415	+	0.0240787i
$236$	1.04222	+	0.221530i	0.0678425	+	0.0144204i
$237$	−12.4623	−	19.3103i	−0.809516	−	1.25434i
$238$	−0.0564587	+	0.537169i	−0.00365967	+	0.0348195i
$239$	13.0571	+	5.81341i	0.844595	+	0.376038i	0.782969	−	0.622061i	$-0.213705\pi$
$239$	13.0571	+	5.81341i	0.844595	+	0.376038i	0.0616265	+	0.998099i	$0.480371\pi$
$240$	−0.487511	+	0.246655i	−0.0314687	+	0.0159215i
$241$	−0.0808738	+	0.140078i	−0.00520954	+	0.00902319i	−0.868618	−	0.495482i	$-0.834992\pi$
$241$	−0.0808738	+	0.140078i	−0.00520954	+	0.00902319i	0.863409	+	0.504505i	$0.168325\pi$
$242$	13.6538	−	8.93700i	0.877701	−	0.574492i
$243$	10.8648	+	11.1783i	0.696980	+	0.717090i
$244$	0.439101	−	1.35142i	0.0281106	−	0.0865155i
$245$	−0.0241675	−	0.229938i	−0.00154400	−	0.0146902i
$246$	−1.99874	−	12.8561i	−0.127435	−	0.819673i
$247$	3.85676	−	4.28337i	0.245400	−	0.272544i
$248$	2.94222	−	3.26767i	0.186831	−	0.207497i
$249$	29.0211	+	11.2350i	1.83914	+	0.711986i
$250$	0.112098	+	1.06655i	0.00708973	+	0.0674542i
$251$	−2.75542	+	8.48032i	−0.173921	+	0.535273i	−0.999583	−	0.0288924i	$-0.990802\pi$
$251$	−2.75542	+	8.48032i	−0.173921	+	0.535273i	0.825662	+	0.564165i	$0.190802\pi$
$252$	−0.00668250	+	1.17480i	−0.000420958	+	0.0740054i
$253$	7.54337	−	21.4244i	0.474247	−	1.34694i
$254$	14.7474	−	25.5433i	0.925337	−	1.60273i
$255$	0.0195782	+	0.0127935i	0.00122603	+	0.000801161i
$256$	4.35969	+	1.94106i	0.272481	+	0.121316i
$257$	−0.445260	+	4.23636i	−0.0277745	+	0.264257i	0.971818	+	0.235730i	$0.0757482\pi$
$257$	−0.445260	+	4.23636i	−0.0277745	+	0.264257i	−0.999593	+	0.0285267i	$0.990918\pi$
$258$	−20.8525	+	1.03337i	−1.29822	+	0.0643350i
$259$	−18.2837	−	3.88633i	−1.13610	−	0.241485i
$260$	0.0130371	+	0.00947202i	0.000808528	+	0.000587430i
$261$	−9.64163	+	0.957960i	−0.596802	+	0.0592962i
$262$	3.97304	−	12.2278i	0.245455	−	0.755434i
$263$	−11.6890	+	20.2459i	−0.720774	+	1.24842i	0.239916	+	0.970794i	$0.422880\pi$
$263$	−11.6890	+	20.2459i	−0.720774	+	1.24842i	−0.960690	+	0.277623i	$0.910453\pi$
$264$	14.1597	+	5.88244i	0.871469	+	0.362039i
$265$	0.0547189	+	0.0947759i	0.00336136	+	0.00582204i
$266$	14.7006	−	3.12470i	0.901349	−	0.191588i
$267$	−21.2016	−	3.41985i	−1.29752	−	0.209291i
$268$	0.164238	−	0.0731236i	0.0100325	−	0.00446674i
$269$	−4.69356	−	14.4453i	−0.286172	−	0.880746i	−0.986045	−	0.166479i	$-0.946760\pi$
$269$	−4.69356	−	14.4453i	−0.286172	−	0.880746i	0.699873	−	0.714267i	$-0.253240\pi$
$270$	0.494592	+	0.257346i	0.0300999	+	0.0156616i
$271$	−12.7047	−	9.23053i	−0.771757	−	0.560715i	0.130736	−	0.991417i	$-0.458266\pi$
$271$	−12.7047	−	9.23053i	−0.771757	−	0.560715i	−0.902494	+	0.430703i	$0.858266\pi$
$272$	−0.0851082	−	0.809750i	−0.00516044	−	0.0490983i
$273$	−3.34432	+	1.69205i	−0.202408	+	0.102408i
$274$	5.43409	+	9.41212i	0.328286	+	0.568607i
$275$	11.3815	−	12.0369i	0.686328	−	0.725853i
$276$	−2.30244	+	0.609924i	−0.138591	+	0.0367131i
$277$	5.00368	+	5.55715i	0.300642	+	0.333897i	0.874470	−	0.485079i	$-0.161209\pi$
$277$	5.00368	+	5.55715i	0.300642	+	0.333897i	−0.573829	+	0.818975i	$0.694542\pi$
$278$	−6.29720	+	4.57519i	−0.377681	+	0.274401i
$279$	−4.91206	−	0.544545i	−0.294077	−	0.0326011i
$280$	−0.116342	−	0.358064i	−0.00695277	−	0.0213984i
$281$	12.5286	+	2.66303i	0.747391	+	0.158863i	0.565836	−	0.824518i	$-0.308554\pi$
$281$	12.5286	+	2.66303i	0.747391	+	0.158863i	0.181555	+	0.983381i	$0.441887\pi$
$282$	−17.3779	+	13.9907i	−1.03484	+	0.833134i
$283$	−5.99350	−	2.66848i	−0.356277	−	0.158625i	0.220790	−	0.975321i	$-0.429136\pi$
$283$	−5.99350	−	2.66848i	−0.356277	−	0.158625i	−0.577067	+	0.816697i	$0.695803\pi$
$284$	0.303052	−	0.0644156i	0.0179828	−	0.00382236i
$285$	0.170215	−	0.628100i	0.0100827	−	0.0372055i
$286$	−0.438141	−	5.44176i	−0.0259078	−	0.321778i
$287$	9.87477			0.582889
$288$	−0.687007	−	3.32500i	−0.0404823	−	0.195928i
$289$	13.7251	−	9.97186i	0.807358	−	0.586580i
$290$	−0.316581	+	0.140951i	−0.0185903	+	0.00827692i
$291$	9.81801	+	15.2130i	0.575542	+	0.891800i
$292$	−1.54671	+	1.71780i	−0.0905145	+	0.100526i
$293$	1.22958	−	11.6987i	0.0718331	−	0.683446i	−0.898053	−	0.439887i	$-0.855018\pi$
$293$	1.22958	−	11.6987i	0.0718331	−	0.683446i	0.969886	−	0.243559i	$-0.0783149\pi$
$294$	8.10901	+	1.30799i	0.472927	+	0.0762837i
$295$	0.256803	+	0.285209i	0.0149517	+	0.0166055i
$296$	25.5827			1.48697
$297$	−3.91024	−	16.7842i	−0.226895	−	0.973919i
$298$	−3.20859			−0.185869
$299$	−5.08459	−	5.64701i	−0.294050	−	0.326575i
$300$	−1.71500	−	0.276632i	−0.0990157	−	0.0159713i
$301$	1.65637	−	15.7593i	0.0954717	−	0.908353i
$302$	−6.92424	+	7.69015i	−0.398445	+	0.442518i
$303$	−3.25165	−	5.03841i	−0.186802	−	0.289449i
$304$	−20.6966	+	9.21474i	−1.18703	+	0.528502i
$305$	0.414072	−	0.300841i	0.0237097	−	0.0172261i
$306$	−0.620611	+	0.552441i	−0.0354780	+	0.0315809i
$307$	−23.8127			−1.35906			−0.679530	−	0.733647i	$-0.737816\pi$
$307$	−23.8127			−1.35906			−0.679530	+	0.733647i	$0.737816\pi$
$308$	0.676631	−	1.10864i	0.0385546	−	0.0631706i
$309$	8.10223	−	29.8976i	0.460920	−	1.70081i
$310$	−0.172899	+	0.0367507i	−0.00981998	+	0.00208730i
$311$	21.5120	+	9.57774i	1.21983	+	0.543104i	0.912726	−	0.408572i	$-0.133973\pi$
$311$	21.5120	+	9.57774i	1.21983	+	0.543104i	0.307105	+	0.951676i	$0.400640\pi$
$312$	3.99564	−	3.21683i	0.226208	−	0.182117i
$313$	11.2007	+	2.38078i	0.633100	+	0.134569i	0.513273	−	0.858225i	$-0.328433\pi$
$313$	11.2007	+	2.38078i	0.633100	+	0.134569i	0.119827	+	0.992795i	$0.461766\pi$
$314$	−8.08998	−	24.8984i	−0.456544	−	1.40510i
$315$	−0.250672	+	0.340925i	−0.0141237	+	0.0192089i
$316$	2.15557	−	1.56611i	0.121260	−	0.0881007i
$317$	9.84727	+	10.9365i	0.553078	+	0.614255i	0.953249	−	0.302185i	$-0.0977161\pi$
$317$	9.84727	+	10.9365i	0.553078	+	0.614255i	−0.400171	+	0.916440i	$0.631049\pi$
$318$	−3.75828	+	0.995581i	−0.210754	+	0.0558294i
$319$	9.67652	+	4.59409i	0.541781	+	0.257219i
$320$	0.254722	+	0.441192i	0.0142394	+	0.0246634i
$321$	21.6406	−	10.9490i	1.20786	−	0.611114i
$322$	−2.07108	−	19.7050i	−0.115417	−	1.09812i
$323$	0.784578	+	0.570029i	0.0436551	+	0.0317173i
$324$	−1.22446	+	1.32918i	−0.0680255	+	0.0738431i
$325$	−1.71259	−	5.27081i	−0.0949975	−	0.292372i
$326$	−5.02250	+	2.23616i	−0.278171	+	0.123850i
$327$	−8.56418	−	1.38141i	−0.473600	−	0.0763923i
$328$	−13.2196	+	2.80991i	−0.729929	+	0.155151i
$329$	−8.46642	−	14.6643i	−0.466769	−	0.808468i
$330$	−0.321510	−	0.525887i	−0.0176985	−	0.0289491i
$331$	−6.73090	+	11.6583i	−0.369964	+	0.640796i	−0.989559	−	0.144125i	$-0.953963\pi$
$331$	−6.73090	+	11.6583i	−0.369964	+	0.640796i	0.619596	+	0.784921i	$0.287297\pi$
$332$	−1.11487	+	3.43123i	−0.0611867	+	0.188313i
$333$	−16.7686	−	23.3582i	−0.918913	−	1.28002i
$334$	−2.43696	−	1.77055i	−0.133344	−	0.0968804i
$335$	0.0633409	+	0.0134635i	0.00346068	+	0.000735591i
$336$	14.7138	−	0.729163i	0.802705	−	0.0397791i
$337$	−0.305702	+	2.90856i	−0.0166526	+	0.158439i	−0.999688	−	0.0249766i	$-0.992049\pi$
$337$	−0.305702	+	2.90856i	−0.0166526	+	0.158439i	0.983035	+	0.183416i	$0.0587155\pi$
$338$	15.9498	+	7.10130i	0.867553	+	0.386260i
$339$	−16.3697	−	10.6969i	−0.889081	−	0.580978i
$340$	−0.00135569	+	0.00234812i	−7.35226e−5	+	0.000127345i
$341$	4.34067	+	3.31831i	0.235061	+	0.179697i
$342$	19.9555	+	11.6732i	1.07907	+	0.631212i
$343$	−6.14502	+	18.9124i	−0.331800	+	1.02117i
$344$	2.26696	+	21.5687i	0.122226	+	1.16291i
$345$	−0.800069	−	0.309731i	−0.0430742	−	0.0166754i
$346$	−8.54117	+	9.48593i	−0.459176	+	0.509967i
$347$	−18.0136	+	20.0061i	−0.967019	+	1.07398i	0.0302060	+	0.999544i	$0.490384\pi$
$347$	−18.0136	+	20.0061i	−0.967019	+	1.07398i	−0.997225	+	0.0744402i	$0.976283\pi$
$348$	−0.172564	−	1.10995i	−0.00925041	−	0.0594995i
$349$	0.158979	+	1.51258i	0.00850993	+	0.0809665i	0.997953	−	0.0639586i	$-0.0203725\pi$
$349$	0.158979	+	1.51258i	0.00850993	+	0.0809665i	−0.989443	+	0.144925i	$0.953706\pi$
$350$	4.46552	−	13.7434i	0.238692	−	0.734618i
$351$	−5.55612	−	1.53969i	−0.296564	−	0.0821824i
$352$	−1.24659	+	3.54053i	−0.0664436	+	0.188711i
$353$	−0.161316	+	0.279408i	−0.00858599	+	0.0148714i	−0.870286	−	0.492546i	$-0.836066\pi$
$353$	−0.161316	+	0.279408i	−0.00858599	+	0.0148714i	0.861700	+	0.507417i	$0.169400\pi$
$354$	−12.1660	+	6.15535i	−0.646614	+	0.327153i
$355$	0.101948	+	0.0453901i	0.00541083	+	0.00240906i
$356$	0.260248	−	2.47609i	0.0137931	−	0.131233i
$357$	−0.341954	−	0.529856i	−0.0180981	−	0.0280429i
$358$	3.65639	+	0.777190i	0.193246	+	0.0410758i
$359$	8.95215	+	6.50411i	0.472476	+	0.343274i	0.798406	−	0.602120i	$-0.205677\pi$
$359$	8.95215	+	6.50411i	0.472476	+	0.343274i	−0.325929	+	0.945394i	$0.605677\pi$
$360$	0.238568	−	0.527733i	0.0125736	−	0.0278140i
$361$	2.46729	−	7.59354i	0.129857	−	0.399660i
$362$	10.5740	−	18.3147i	0.555756	−	0.962597i
$363$	−5.87381	+	18.1245i	−0.308295	+	0.951291i
$364$	−0.217258	−	0.376302i	−0.0113874	−	0.0197236i
$365$	−0.814402	+	0.173106i	−0.0426277	+	0.00906080i
$366$	6.46793	+	16.9938i	0.338084	+	0.888282i
$367$	13.2047	−	5.87909i	0.689278	−	0.306886i	−0.0320440	−	0.999486i	$-0.510202\pi$
$367$	13.2047	−	5.87909i	0.689278	−	0.306886i	0.721322	+	0.692600i	$0.243535\pi$
$368$	9.22966	+	28.4060i	0.481129	+	1.48076i
$369$	11.2306	+	10.2283i	0.584639	+	0.532464i
$370$	−0.832007	−	0.604489i	−0.0432540	−	0.0314259i
$371$	−0.308449	−	2.93470i	−0.0160139	−	0.152362i
$372$	0.0316134	−	0.572084i	0.00163908	−	0.0296612i
$373$	−4.61875	−	7.99991i	−0.239150	−	0.414219i	0.721321	−	0.692601i	$-0.243535\pi$
$373$	−4.61875	−	7.99991i	−0.239150	−	0.414219i	−0.960471	+	0.278382i	$0.910202\pi$
$374$	0.902879	−	0.169022i	0.0466868	−	0.00873990i
$375$	−0.882839	−	0.887875i	−0.0455896	−	0.0458497i
$376$	15.5070	+	17.2222i	0.799711	+	0.888169i
$377$	2.89919	−	2.10638i	0.149316	−	0.108484i
$378$	−9.36077	−	11.7634i	−0.481466	−	0.605044i
$379$	1.54865	+	4.76624i	0.0795486	+	0.244825i	0.982920	−	0.184034i	$-0.0589156\pi$
$379$	1.54865	+	4.76624i	0.0795486	+	0.244825i	−0.903371	+	0.428859i	$0.858916\pi$
$380$	0.0737952	+	0.0156857i	0.00378561	+	0.000804657i
$381$	5.29028	+	34.0276i	0.271029	+	1.74328i
$382$	23.1754	+	10.3184i	1.18576	+	0.527933i
$383$	−34.1937	+	7.26810i	−1.74722	+	0.371383i	−0.967129	−	0.254286i	$-0.918160\pi$
$383$	−34.1937	+	7.26810i	−1.74722	+	0.371383i	−0.780089	+	0.625668i	$0.784826\pi$
$384$	−21.2850	+	5.63846i	−1.08619	+	0.287736i
$385$	0.431889	−	0.179806i	0.0220111	−	0.00916378i
$386$	−24.6845			−1.25641
$387$	18.2073	−	16.2074i	0.925531	−	0.823867i
$388$	−1.69819	+	1.23381i	−0.0862125	+	0.0626370i
$389$	−20.0211	+	8.91398i	−1.01511	+	0.451957i	−0.845740	−	0.533596i	$-0.820840\pi$
$389$	−20.0211	+	8.91398i	−1.01511	+	0.451957i	−0.169372	+	0.985552i	$0.554174\pi$
$390$	−0.205957	+	0.0102065i	−0.0104290	+	0.000516824i
$391$	0.855505	−	0.950135i	0.0432648	−	0.0480504i
$392$	0.891864	−	8.48552i	0.0450459	−	0.428583i
$393$	5.33960	+	14.0293i	0.269347	+	0.707683i
$394$	20.0190	+	22.2334i	1.00854	+	1.12010i
$395$	0.959709			0.0482882
$396$	1.91786	−	0.559997i	0.0963761	−	0.0281409i
$397$	−15.3168			−0.768726			−0.384363	−	0.923182i	$-0.625579\pi$
$397$	−15.3168			−0.768726			−0.384363	+	0.923182i	$0.625579\pi$
$398$	−15.8667	−	17.6218i	−0.795328	−	0.883301i
$399$	−11.0813	+	13.6050i	−0.554761	+	0.681103i
$400$	−2.27701	+	21.6643i	−0.113850	+	1.08321i
$401$	0.144305	−	0.160267i	0.00720624	−	0.00800334i	−0.739531	−	0.673123i	$-0.764953\pi$
$401$	0.144305	−	0.160267i	0.00720624	−	0.00800334i	0.746737	+	0.665119i	$0.231619\pi$
$402$	−1.05025	+	2.04681i	−0.0523816	+	0.102086i
$403$	1.66986	−	0.743472i	0.0831819	−	0.0370350i
$404$	0.562427	−	0.408627i	0.0279818	−	0.0203299i
$405$	−0.638219	+	0.128087i	−0.0317133	+	0.00636469i
$406$	9.34407			0.463739
$407$	2.55120	+	31.6862i	0.126458	+	1.57063i
$408$	0.608554	+	0.612025i	0.0301279	+	0.0302998i
$409$	−22.2047	+	4.71975i	−1.09795	+	0.233377i	−0.721054	−	0.692879i	$-0.756342\pi$
$409$	−22.2047	+	4.71975i	−1.09795	+	0.233377i	−0.376897	+	0.926255i	$0.623009\pi$
$410$	0.496325	+	0.220978i	0.0245117	+	0.0109133i
$411$	−11.8332	−	4.58100i	−0.583690	−	0.225964i
$412$	3.51265	+	0.746636i	0.173056	+	0.0367841i
$413$	−3.19782	−	9.84186i	−0.157354	−	0.484286i
$414$	18.0551	−	24.5557i	0.887359	−	1.20685i
$415$	−1.05132	+	0.763832i	−0.0516075	+	0.0374950i
$416$	0.840263	+	0.933207i	0.0411973	+	0.0457542i
$417$	2.37706	−	8.77145i	0.116405	−	0.429540i
$418$	−12.2361	−	22.4396i	−0.598487	−	1.09756i
$419$	−8.54073	−	14.7930i	−0.417242	−	0.722684i	0.578419	−	0.815740i	$-0.303670\pi$
$419$	−8.54073	−	14.7930i	−0.417242	−	0.722684i	−0.995661	+	0.0930557i	$0.970337\pi$
$420$	−0.0410675	−	0.0268359i	−0.00200389	−	0.00130946i
$421$	0.626911	+	5.96466i	0.0305538	+	0.290700i	0.999120	+	0.0419437i	$0.0133550\pi$
$421$	0.626911	+	5.96466i	0.0305538	+	0.290700i	−0.968566	+	0.248756i	$0.919978\pi$
$422$	−11.7685	−	8.55031i	−0.572881	−	0.416223i
$423$	5.56044	−	25.4472i	0.270358	−	1.23728i
$424$	1.24801	+	3.84098i	0.0606087	+	0.186534i
$425$	0.851860	−	0.379272i	0.0413213	−	0.0183974i
$426$	−2.50374	+	3.07395i	−0.121307	+	0.148933i
$427$	−13.4991	+	2.86932i	−0.653266	+	0.138856i
$428$	1.40584	+	2.43499i	0.0679539	+	0.117700i
$429$	4.38276	+	4.62812i	0.211602	+	0.223448i
$430$	0.435915	−	0.755028i	0.0210217	−	0.0364107i
$431$	−1.23449	+	3.79938i	−0.0594635	+	0.183010i	−0.976376	−	0.216078i	$-0.930673\pi$
$431$	−1.23449	+	3.79938i	−0.0594635	+	0.183010i	0.916912	+	0.399088i	$0.130673\pi$
$432$	17.4893	+	14.4113i	0.841453	+	0.693365i
$433$	21.9374	+	15.9385i	1.05425	+	0.765954i	0.973015	−	0.230741i	$-0.0741151\pi$
$433$	21.9374	+	15.9385i	1.05425	+	0.765954i	0.0812301	+	0.996695i	$0.474115\pi$
$434$	4.66201	+	0.990941i	0.223784	+	0.0475667i
$435$	0.184709	−	0.359977i	0.00885610	−	0.0172596i
$436$	0.105124	−	1.00019i	0.00503455	−	0.0479005i
$437$	−32.4994	−	14.4697i	−1.55466	−	0.692177i
$438$	1.63205	−	29.5339i	0.0779823	−	1.41119i
$439$	12.7238	−	22.0383i	0.607275	−	1.05183i	−0.384413	−	0.923161i	$-0.625596\pi$
$439$	12.7238	−	22.0383i	0.607275	−	1.05183i	0.991688	−	0.128669i	$-0.0410706\pi$
$440$	−0.527015	+	0.363607i	−0.0251244	+	0.0173343i
$441$	−8.33227	+	4.74765i	−0.396775	+	0.226079i
$442$	0.0949623	−	0.292264i	0.00451690	−	0.0139016i
$443$	−1.05830	−	10.0690i	−0.0502812	−	0.478394i	−0.990469	−	0.137737i	$-0.956017\pi$
$443$	−1.05830	−	10.0690i	−0.0502812	−	0.478394i	0.940188	−	0.340657i	$-0.110649\pi$
$444$	2.59659	−	2.09048i	0.123229	−	0.0992098i
$445$	0.600066	−	0.666441i	0.0284459	−	0.0315923i
$446$	−16.7836	+	18.6401i	−0.794727	+	0.882634i
$447$	2.91799	−	2.34923i	0.138016	−	0.111115i
$448$	−1.43586	−	13.6613i	−0.0678382	−	0.645437i
$449$	5.04599	−	15.5299i	0.238135	−	0.732904i	−0.758555	−	0.651609i	$-0.774094\pi$
$449$	5.04599	−	15.5299i	0.238135	−	0.732904i	0.996690	−	0.0812949i	$-0.0259056\pi$
$450$	19.3141	−	11.0050i	0.910476	−	0.518781i
$451$	−4.79860	−	16.0933i	−0.225957	−	0.757803i
$452$	1.13352	−	1.96332i	0.0533164	−	0.0923467i
$453$	0.666624	−	12.0634i	0.0313207	−	0.566788i
$454$	−4.31506	−	1.92119i	−0.202516	−	0.0901659i
$455$	0.0163597	−	0.155652i	0.000766955	−	0.00729709i
$456$	10.9635	−	21.3666i	0.513412	−	1.00058i
$457$	22.9933	+	4.88738i	1.07558	+	0.228622i	0.711458	−	0.702728i	$-0.248035\pi$
$457$	22.9933	+	4.88738i	1.07558	+	0.228622i	0.364124	+	0.931350i	$0.381368\pi$
$458$	5.78639	+	4.20406i	0.270380	+	0.196443i
$459$	0.159922	−	0.956800i	0.00746453	−	0.0446596i
$460$	0.0307354	−	0.0945940i	0.00143305	−	0.00441047i
$461$	3.89658	−	6.74907i	0.181482	−	0.314336i	−0.760904	−	0.648865i	$-0.775244\pi$
$461$	3.89658	−	6.74907i	0.181482	−	0.314336i	0.942385	+	0.334529i	$0.108577\pi$
$462$	2.15216	+	16.4801i	0.100128	+	0.766722i
$463$	14.9024	+	25.8118i	0.692575	+	1.19957i	0.970991	+	0.239114i	$0.0768571\pi$
$463$	14.9024	+	25.8118i	0.692575	+	1.19957i	−0.278417	+	0.960460i	$0.589810\pi$
$464$	−13.7778	+	2.92857i	−0.639620	+	0.135955i
$465$	0.130332	−	0.160014i	0.00604399	−	0.00742045i
$466$	28.5193	−	12.6976i	1.32113	−	0.588206i
$467$	−11.1849	−	34.4236i	−0.517575	−	1.59293i	−0.778547	−	0.627586i	$-0.784043\pi$
$467$	−11.1849	−	34.4236i	−0.517575	−	1.59293i	0.260972	−	0.965346i	$-0.415957\pi$
$468$	0.142687	−	0.653003i	0.00659571	−	0.0301851i
$469$	−1.41260	−	1.02631i	−0.0652278	−	0.0473908i
$470$	−0.0973808	−	0.926516i	−0.00449184	−	0.0427370i
$471$	25.5872	+	16.7201i	1.17899	+	0.770424i
$472$	7.08153	+	12.2656i	0.325954	+	0.564569i
$473$	−26.4885	+	4.95872i	−1.21794	+	0.228002i
$474$	−8.91803	+	32.9079i	−0.409619	+	1.51151i
$475$	−17.3613	−	19.2817i	−0.796591	−	0.884704i
$476$	0.0591466	−	0.0429725i	0.00271098	−	0.00196964i
$477$	2.68897	−	3.65712i	0.123119	−	0.167448i
$478$	−6.55224	−	20.1657i	−0.299693	−	0.922359i
$479$	−7.31949	−	1.55581i	−0.334436	−	0.0710865i	0.0376331	−	0.999292i	$-0.488018\pi$
$479$	−7.31949	−	1.55581i	−0.334436	−	0.0710865i	−0.372069	+	0.928205i	$0.621352\pi$
$480$	0.132217	+	0.0511852i	0.00603484	+	0.00233627i
$481$	9.71546	+	4.32560i	0.442987	+	0.197231i
$482$	0.234711	−	0.0498893i	0.0106908	−	0.00227239i
$483$	16.3110	+	16.4040i	0.742174	+	0.746408i
$484$	−2.13559	−	0.563992i	−0.0970725	−	0.0256360i
$485$	−0.756073			−0.0343315
$486$	1.53857	−	23.0744i	0.0697911	−	1.04668i
$487$	−6.39891	+	4.64908i	−0.289962	+	0.210670i	−0.723251	−	0.690585i	$-0.757353\pi$
$487$	−6.39891	+	4.64908i	−0.289962	+	0.210670i	0.433289	+	0.901255i	$0.357353\pi$
$488$	17.2550	−	7.68244i	0.781099	−	0.347768i
$489$	2.93037	−	5.71097i	0.132516	−	0.258259i
$490$	−0.229508	+	0.254894i	−0.0103681	+	0.0115150i
$491$	2.15259	−	20.4806i	0.0971452	−	0.924275i	−0.832054	−	0.554695i	$-0.812835\pi$
$491$	2.15259	−	20.4806i	0.0971452	−	0.924275i	0.929199	−	0.369580i	$-0.120498\pi$
$492$	−1.11215	+	1.36543i	−0.0501395	+	0.0615584i
$493$	0.403456	+	0.448083i	0.0181707	+	0.0201806i
$494$	−8.55071			−0.384715
$495$	0.677430	+	0.242858i	0.0304482	+	0.0109156i
$496$	−7.18471			−0.322603
$497$	−2.01345	−	2.23616i	−0.0903155	−	0.100306i
$498$	−16.4220	−	43.1472i	−0.735887	−	1.93347i
$499$	−1.52156	+	14.4767i	−0.0681143	+	0.648065i	0.906196	+	0.422857i	$0.138973\pi$
$499$	−1.52156	+	14.4767i	−0.0681143	+	0.648065i	−0.974311	+	0.225208i	$0.927694\pi$
$500$	0.0971296	−	0.107873i	0.00434377	−	0.00482424i
$501$	3.51259	−	0.174071i	0.156931	−	0.00777693i
$502$	12.0844	−	5.38034i	0.539355	−	0.240136i
$503$	25.7196	−	18.6864i	1.14678	−	0.833183i	0.158729	−	0.987322i	$-0.449260\pi$
$503$	25.7196	−	18.6864i	1.14678	−	0.833183i	0.988049	+	0.154139i	$0.0492603\pi$
$504$	−11.6643	+	10.3831i	−0.519570	+	0.462499i
$505$	0.250406			0.0111429
$506$	−31.1076	+	12.9509i	−1.38290	+	0.575737i
$507$	−19.7046	+	5.21981i	−0.875112	+	0.231820i
$508$	−3.90505	+	0.830045i	−0.173259	+	0.0368273i
$509$	32.0323	+	14.2617i	1.41981	+	0.632139i	0.965901	−	0.258910i	$-0.0833634\pi$
$509$	32.0323	+	14.2617i	1.41981	+	0.632139i	0.453906	+	0.891049i	$0.350030\pi$
$510$	−0.00533012	−	0.0342838i	−0.000236022	−	0.00151811i
$511$	21.9594	+	4.66761i	0.971426	+	0.206483i
$512$	5.66916	+	17.4479i	0.250544	+	0.771095i
$513$	−26.6949	+	3.99489i	−1.17861	+	0.176378i
$514$	5.11242	−	3.71439i	0.225499	−	0.163835i
$515$	0.865519	+	0.961257i	0.0381393	+	0.0423580i
$516$	1.99257	+	2.00393i	0.0877179	+	0.0882183i
$517$	−19.7847	+	20.9241i	−0.870129	+	0.920239i
$518$	13.8650	+	24.0150i	0.609195	+	1.05516i
$519$	0.822292	−	14.8804i	0.0360946	−	0.653177i
$520$	0.0223904	+	0.213031i	0.000981884	+	0.00934201i
$521$	23.9643	+	17.4111i	1.04990	+	0.762794i	0.972193	−	0.234183i	$-0.0752414\pi$
$521$	23.9643	+	17.4111i	1.04990	+	0.762794i	0.0777032	+	0.996977i	$0.475241\pi$
$522$	10.6270	+	9.67861i	0.465131	+	0.423621i
$523$	−3.46900	−	10.6765i	−0.151689	−	0.466850i	0.846122	−	0.532990i	$-0.178932\pi$
$523$	−3.46900	−	10.6765i	−0.151689	−	0.466850i	−0.997810	+	0.0661400i	$0.978932\pi$
$524$	−1.58981	+	0.707831i	−0.0694514	+	0.0309217i
$525$	6.00146	+	15.7682i	0.261925	+	0.688183i
$526$	33.9236	−	7.21068i	1.47914	−	0.314401i
$527$	0.153776	+	0.266347i	0.00669857	+	0.0116023i
$528$	−8.33845	−	23.6253i	−0.362885	−	1.02816i
$529$	−11.9503	+	20.6985i	−0.519578	+	0.899936i
$530$	0.0501696	−	0.154406i	0.00217923	−	0.00670697i
$531$	6.55735	−	14.5054i	0.284565	−	0.629482i
$532$	−1.64575	−	1.19570i	−0.0713522	−	0.0518404i
$533$	−5.49546	−	1.16810i	−0.238035	−	0.0505958i
$534$	17.2758	+	26.7688i	0.747597	+	1.15840i
$535$	−0.105861	+	1.00720i	−0.00457677	+	0.0435451i
$536$	2.18312	+	0.971988i	0.0942965	+	0.0419835i
$537$	−3.89428	+	1.97030i	−0.168050	+	0.0850248i
$538$	−11.2663	+	19.5138i	−0.485724	+	0.841299i
$539$	10.5989	+	0.258437i	0.456528	+	0.0111317i
$540$	−0.0189093	−	0.0730583i	−0.000813727	−	0.00314393i
$541$	1.79412	−	5.52174i	0.0771354	−	0.237398i	−0.905052	−	0.425300i	$-0.860169\pi$
$541$	1.79412	−	5.52174i	0.0771354	−	0.237398i	0.982188	+	0.187902i	$0.0601686\pi$
$542$	2.43519	+	23.1693i	0.104600	+	0.995206i
$543$	3.79315	+	24.3979i	0.162779	+	1.04701i
$544$	−0.141378	+	0.157016i	−0.00606153	+	0.00673202i
$545$	0.242390	−	0.269202i	0.0103829	−	0.0115313i
$546$	5.18521	+	2.00735i	0.221906	+	0.0859068i
$547$	2.25951	+	21.4978i	0.0966095	+	0.919178i	0.930264	+	0.366891i	$0.119578\pi$
$547$	2.25951	+	21.4978i	0.0966095	+	0.919178i	−0.833654	+	0.552286i	$0.813755\pi$
$548$	0.454585	−	1.39907i	0.0194189	−	0.0597653i
$549$	−18.3245	−	10.7191i	−0.782071	−	0.457480i
$550$	−24.5682	−	0.599055i	−1.04759	−	0.0255438i
$551$	8.38858	−	14.5294i	0.357365	−	0.618975i
$552$	−26.5037	−	17.3191i	−1.12807	−	0.737148i
$553$	−23.6402	−	10.5253i	−1.00528	−	0.447581i
$554$	1.15959	−	11.0327i	0.0492661	−	0.468736i
$555$	1.19924	−	0.0594300i	0.0509050	−	0.00252267i
$556$	1.03055	+	0.219051i	0.0437052	+	0.00928982i
$557$	5.71836	+	4.15463i	0.242295	+	0.176037i	0.702305	−	0.711876i	$-0.252154\pi$
$557$	5.71836	+	4.15463i	0.242295	+	0.176037i	−0.460010	+	0.887914i	$0.652154\pi$
$558$	4.27568	+	5.95591i	0.181004	+	0.252134i
$559$	−2.78598	+	8.57437i	−0.117835	+	0.362657i
$560$	−0.307588	+	0.532758i	−0.0129980	+	0.0225131i
$561$	−0.697354	+	0.814775i	−0.0294423	+	0.0343998i
$562$	−9.50073	−	16.4557i	−0.400764	−	0.694144i
$563$	22.3938	−	4.75994i	0.943785	−	0.200608i	0.289776	−	0.957094i	$-0.406419\pi$
$563$	22.3938	−	4.75994i	0.943785	−	0.200608i	0.654009	+	0.756487i	$0.273086\pi$
$564$	2.98123	+	0.480876i	0.125532	+	0.0202485i
$565$	0.745978	−	0.332131i	0.0313835	−	0.0139728i
$566$	3.00762	+	9.25651i	0.126420	+	0.389080i
$567$	17.1258	+	3.84433i	0.719216	+	0.161447i
$568$	3.33176	+	2.42066i	0.139797	+	0.101569i
$569$	−1.91977	−	18.2654i	−0.0804808	−	0.765724i	−0.958113	−	0.286390i	$-0.907545\pi$
$569$	−1.91977	−	18.2654i	−0.0804808	−	0.765724i	0.877632	−	0.479334i	$-0.159122\pi$
$570$	−0.861423	+	0.435836i	−0.0360810	+	0.0182551i
$571$	−4.04504	−	7.00621i	−0.169280	−	0.293201i	0.768887	−	0.639384i	$-0.220811\pi$
$571$	−4.04504	−	7.00621i	−0.169280	−	0.293201i	−0.938167	+	0.346184i	$0.887477\pi$
$572$	−0.507697	+	0.536935i	−0.0212279	+	0.0224504i
$573$	−28.6313	+	7.58451i	−1.19609	+	0.316848i
$574$	−9.80231	−	10.8866i	−0.409140	−	0.454396i
$575$	−27.6734	+	20.1059i	−1.15406	+	0.838473i
$576$	12.5174	−	17.0243i	0.521559	−	0.709345i
$577$	−0.856306	−	2.63544i	−0.0356485	−	0.109715i	0.931649	−	0.363360i	$-0.118370\pi$
$577$	−0.856306	−	2.63544i	−0.0356485	−	0.109715i	−0.967297	+	0.253645i	$0.918370\pi$
$578$	−24.6180	−	5.23271i	−1.02397	−	0.217652i
$579$	22.4488	−	18.0732i	0.932942	−	0.751098i
$580$	0.0428510	+	0.0190785i	0.00177929	+	0.000792191i
$581$	34.2740	−	7.28517i	1.42193	−	0.302240i
$582$	7.02576	−	25.9253i	0.291227	−	1.07464i
$583$	−4.63289	+	1.92879i	−0.191875	+	0.0798824i
$584$	−30.7257			−1.27144
$585$	0.179831	−	0.160078i	0.00743509	−	0.00661840i
$586$	−14.1180	+	10.2573i	−0.583207	+	0.423725i
$587$	33.1947	−	14.7792i	1.37009	−	0.610004i	0.415957	−	0.909384i	$-0.363447\pi$
$587$	33.1947	−	14.7792i	1.37009	−	0.610004i	0.954134	+	0.299380i	$0.0967799\pi$
$588$	−0.602868	−	0.934141i	−0.0248618	−	0.0385233i
$589$	5.72614	−	6.35952i	0.235941	−	0.262039i
$590$	0.0595133	−	0.566232i	0.00245013	−	0.0233114i
$591$	−34.4846	−	5.56241i	−1.41851	−	0.228807i
$592$	−27.9706	−	31.0645i	−1.14959	−	1.27674i
$593$	7.21741			0.296384			0.148192	−	0.988959i	$-0.452655\pi$
$593$	7.21741			0.296384			0.148192	+	0.988959i	$0.452655\pi$
$594$	−14.6224	+	20.9719i	−0.599965	+	0.860489i
$595$	0.0263335			0.00107957
$596$	0.290603	+	0.322748i	0.0119036	+	0.0132203i
$597$	27.3319	+	4.40866i	1.11862	+	0.180435i
$598$	−1.17834	+	11.2111i	−0.0481859	+	0.458458i
$599$	10.6433	−	11.8206i	0.434875	−	0.482978i	−0.485376	−	0.874305i	$-0.661317\pi$
$599$	10.6433	−	11.8206i	0.434875	−	0.482978i	0.920251	+	0.391328i	$0.127984\pi$
$600$	−12.5212	−	19.4016i	−0.511176	−	0.792065i
$601$	9.72914	−	4.33169i	0.396860	−	0.176693i	−0.198596	−	0.980081i	$-0.563638\pi$
$601$	9.72914	−	4.33169i	0.396860	−	0.176693i	0.595456	+	0.803388i	$0.296971\pi$
$602$	−19.0183	+	13.8176i	−0.775128	+	0.563163i
$603$	−0.543489	−	2.63040i	−0.0221326	−	0.107118i
$604$	1.40067			0.0569926
$605$	−0.502911	−	0.616489i	−0.0204463	−	0.0250638i
$606$	−2.32688	+	8.58626i	−0.0945228	+	0.348793i
$607$	−16.5479	+	3.51737i	−0.671659	+	0.142766i	−0.531103	−	0.847307i	$-0.678222\pi$
$607$	−16.5479	+	3.51737i	−0.671659	+	0.142766i	−0.140556	+	0.990073i	$0.544889\pi$
$608$	5.37074	+	2.39121i	0.217812	+	0.0969763i
$609$	−8.49780	+	6.84146i	−0.344348	+	0.277230i
$610$	−0.742699	−	0.157866i	−0.0300710	−	0.00639179i
$611$	2.97704	+	9.16239i	0.120438	+	0.370671i
$612$	0.111778	+	0.0123916i	0.00451837	+	0.000500901i
$613$	15.9766	−	11.6077i	0.645290	−	0.468830i	−0.216374	−	0.976311i	$-0.569423\pi$
$613$	15.9766	−	11.6077i	0.645290	−	0.468830i	0.861663	+	0.507480i	$0.169423\pi$
$614$	23.6379	+	26.2526i	0.953949	+	1.05947i
$615$	−0.613167	+	0.162430i	−0.0247253	+	0.00654981i
$616$	16.9695	−	3.17675i	0.683722	−	0.127995i
$617$	14.2059	+	24.6053i	0.571908	+	0.990573i	0.996370	+	0.0851276i	$0.0271298\pi$
$617$	14.2059	+	24.6053i	0.571908	+	0.990573i	−0.424462	+	0.905446i	$0.639537\pi$
$618$	−41.0037	+	20.7458i	−1.64941	+	0.834516i
$619$	3.51868	+	33.4780i	0.141428	+	1.34559i	0.803119	+	0.595819i	$0.203172\pi$
$619$	3.51868	+	33.4780i	0.141428	+	1.34559i	−0.661691	+	0.749776i	$0.730161\pi$
$620$	0.0193562	+	0.0140631i	0.000777365	+	0.000564788i
$621$	1.55912	+	35.5512i	0.0625654	+	1.42662i
$622$	−10.7950	−	33.2236i	−0.432840	−	1.33214i
$623$	−22.0902	+	9.83520i	−0.885026	+	0.394039i
$624$	−8.27472	−	1.33472i	−0.331254	−	0.0534316i
$625$	−24.3770	+	5.18148i	−0.975079	+	0.207259i
$626$	−8.49376	−	14.7116i	−0.339479	−	0.587995i
$627$	27.5575	+	11.4484i	1.10054	+	0.457204i
$628$	−1.77178	+	3.06882i	−0.0707019	+	0.122459i
$629$	−0.552945	+	1.70179i	−0.0220474	+	0.0678548i
$630$	0.624689	−	0.0620670i	0.0248882	−	0.00247281i
$631$	10.5417	+	7.65896i	0.419657	+	0.304898i	0.777500	−	0.628883i	$-0.216488\pi$
$631$	10.5417	+	7.65896i	0.419657	+	0.304898i	−0.357843	+	0.933782i	$0.616488\pi$
$632$	34.6427	+	7.36354i	1.37801	+	0.292906i
$633$	16.9629	−	0.840620i	0.674216	−	0.0334117i
$634$	2.28208	−	21.7125i	0.0906328	−	0.862313i
$635$	−1.31368	−	0.584886i	−0.0521317	−	0.0232105i
$636$	0.440534	+	0.287871i	0.0174683	+	0.0114148i
$637$	1.77346	−	3.07172i	0.0702669	−	0.121706i
$638$	−4.54071	−	15.2284i	−0.179768	−	0.602897i
$639$	0.0263291	−	4.62871i	0.00104156	−	0.183109i
$640$	0.284134	−	0.874476i	0.0112314	−	0.0345667i
$641$	−0.451688	−	4.29753i	−0.0178406	−	0.169742i	0.981974	−	0.189018i	$-0.0605305\pi$
$641$	−0.451688	−	4.29753i	−0.0178406	−	0.169742i	−0.999814	+	0.0192761i	$0.993864\pi$
$642$	−33.5526	−	12.9893i	−1.32422	−	0.512645i
$643$	13.9683	−	15.5133i	0.550854	−	0.611786i	−0.401842	−	0.915709i	$-0.631630\pi$
$643$	13.9683	−	15.5133i	0.550854	−	0.611786i	0.952697	+	0.303923i	$0.0982966\pi$
$644$	−1.79453	+	1.99302i	−0.0707142	+	0.0785361i
$645$	0.156374	+	1.00581i	0.00615721	+	0.0396038i
$646$	−0.150385	−	1.43081i	−0.00591680	−	0.0562946i
$647$	1.77013	−	5.44789i	0.0695909	−	0.214179i	−0.910213	−	0.414141i	$-0.864082\pi$
$647$	1.77013	−	5.44789i	0.0695909	−	0.214179i	0.979804	+	0.199962i	$0.0640820\pi$
$648$	−24.0206	−	0.273277i	−0.943619	−	0.0107353i
$649$	−14.4857	+	9.99420i	−0.568613	+	0.392307i
$650$	−4.11085	+	7.12020i	−0.161241	+	0.279277i
$651$	−4.96532	+	2.51219i	−0.194606	+	0.0984606i
$652$	0.679823	+	0.302677i	0.0266239	+	0.0118537i
$653$	1.07341	−	10.2128i	0.0420058	−	0.399658i	−0.953236	−	0.302226i	$-0.902270\pi$
$653$	1.07341	−	10.2128i	0.0420058	−	0.399658i	0.995242	−	0.0974325i	$-0.0310630\pi$
$654$	6.97838	+	10.8130i	0.272876	+	0.422820i
$655$	−0.613136	−	0.130326i	−0.0239572	−	0.00509226i
$656$	17.8655	+	12.9800i	0.697531	+	0.506786i
$657$	20.1396	+	28.0540i	0.785722	+	1.09449i
$658$	−7.76252	+	23.8906i	−0.302614	+	0.931352i
$659$	7.65543	−	13.2596i	0.298213	−	0.516520i	−0.677514	−	0.735510i	$-0.736943\pi$
$659$	7.65543	−	13.2596i	0.298213	−	0.516520i	0.975727	+	0.218990i	$0.0702761\pi$
$660$	−0.0237789	+	0.0799701i	−0.000925594	+	0.00311283i
$661$	12.8232	+	22.2105i	0.498766	+	0.863889i	0.999999	−	0.00142377i	$-0.000453199\pi$
$661$	12.8232	+	22.2105i	0.498766	+	0.863889i	−0.501233	+	0.865313i	$0.667120\pi$
$662$	19.5343	−	4.15214i	0.759222	−	0.161378i
$663$	0.127625	+	0.335323i	0.00495656	+	0.0130229i
$664$	−43.8104	+	19.5056i	−1.70017	+	0.756966i
$665$	−0.226424	−	0.696863i	−0.00878036	−	0.0270232i
$666$	−9.10605	+	41.6736i	−0.352852	+	1.61482i
$667$	−17.8941	−	13.0008i	−0.692861	−	0.503393i
$668$	0.0426187	+	0.405490i	0.00164897	+	0.0156889i
$669$	1.61583	−	29.2404i	0.0624714	−	1.13050i
$670$	−0.0480331	−	0.0831957i	−0.00185568	−	0.00321413i
$671$	11.2360	+	20.6056i	0.433763	+	0.795471i
$672$	−2.69550	−	2.71087i	−0.103981	−	0.104574i
$673$	−13.3196	−	14.7930i	−0.513434	−	0.570226i	0.429559	−	0.903039i	$-0.358669\pi$
$673$	−13.3196	−	14.7930i	−0.513434	−	0.570226i	−0.942993	+	0.332812i	$0.892002\pi$
$674$	3.51004	−	2.55019i	0.135202	−	0.0982297i
$675$	−9.50732	+	24.1495i	−0.365937	+	0.929515i
$676$	−0.730268	−	2.24753i	−0.0280872	−	0.0864436i
$677$	2.34408	+	0.498250i	0.0900903	+	0.0191493i	0.252736	−	0.967535i	$-0.418670\pi$
$677$	2.34408	+	0.498250i	0.0900903	+	0.0191493i	−0.162646	+	0.986684i	$0.552003\pi$
$678$	4.45663	+	28.6654i	0.171156	+	1.10089i
$679$	18.6241	+	8.29199i	0.714728	+	0.318217i
$680$	−0.0352532	+	0.00749330i	−0.00135190	+	0.000287355i
$681$	5.33089	−	1.41217i	0.204280	−	0.0541145i
$682$	−0.650508	−	8.07939i	−0.0249093	−	0.309376i
$683$	−1.75102			−0.0670009			−0.0335005	−	0.999439i	$-0.510666\pi$
$683$	−1.75102			−0.0670009			−0.0335005	+	0.999439i	$0.510666\pi$
$684$	−0.633191	−	3.06454i	−0.0242107	−	0.117176i
$685$	0.428673	−	0.311449i	0.0163788	−	0.0118999i
$686$	26.9502	−	11.9990i	1.02896	−	0.458123i
$687$	−8.34041	+	0.413320i	−0.318206	+	0.0157691i
$688$	23.7118	−	26.3347i	0.904005	−	1.00400i
$689$	−0.175492	+	1.66969i	−0.00668570	+	0.0636102i
$690$	0.452730	+	1.18950i	0.0172352	+	0.0452836i
$691$	−17.3828	−	19.3056i	−0.661274	−	0.734419i	0.315445	−	0.948944i	$-0.397846\pi$
$691$	−17.3828	−	19.3056i	−0.661274	−	0.734419i	−0.976718	+	0.214525i	$0.931180\pi$
$692$	1.72775			0.0656794
$693$	−14.0235	−	13.4117i	−0.532707	−	0.509470i
$694$	39.9374			1.51600
$695$	0.253929	+	0.282017i	0.00963208	+	0.0106975i
$696$	9.42943	−	11.5769i	0.357422	−	0.438821i
$697$	0.0988099	−	0.940114i	0.00374269	−	0.0356094i
$698$	1.50975	−	1.67675i	0.0571449	−	0.0634658i
$699$	−16.6396	+	32.4286i	−0.629366	+	1.22656i
$700$	−1.78688	+	0.795570i	−0.0675377	+	0.0300697i
$701$	−11.8682	+	8.62278i	−0.448257	+	0.325678i	−0.788907	−	0.614512i	$-0.789353\pi$
$701$	−11.8682	+	8.62278i	−0.448257	+	0.325678i	0.340650	+	0.940190i	$0.389353\pi$
$702$	3.81790	+	7.65381i	0.144098	+	0.288874i
$703$	49.7890			1.87783
$704$	−21.5666	+	8.97873i	−0.812822	+	0.338399i
$705$	0.766929	+	0.771304i	0.0288842	+	0.0290490i
$706$	0.468169	−	0.0995124i	0.0176198	−	0.00374520i
$707$	−6.16816	−	2.74624i	−0.231978	−	0.103283i
$708$	1.72104	+	0.666266i	0.0646805	+	0.0250398i
$709$	−0.378481	−	0.0804487i	−0.0142142	−	0.00302132i	0.200799	−	0.979632i	$-0.435646\pi$
$709$	−0.378481	−	0.0804487i	−0.0142142	−	0.00302132i	−0.215013	+	0.976611i	$0.568979\pi$
$710$	−0.0511588	−	0.157451i	−0.00191996	−	0.00590902i
$711$	−15.9838	−	36.4570i	−0.599441	−	1.36724i
$712$	26.7740	−	19.4525i	1.00340	−	0.729012i
$713$	−7.54910	−	8.38412i	−0.282716	−	0.313988i
$714$	−0.244702	+	0.902959i	−0.00915773	+	0.0337924i
$715$	−0.261622	+	0.0489765i	−0.00978412	+	0.00183162i
$716$	−0.252985	−	0.438182i	−0.00945448	−	0.0163756i
$717$	20.7236	+	13.5420i	0.773936	+	0.505735i
$718$	−1.71591	−	16.3258i	−0.0640372	−	0.609273i
$719$	−19.2508	−	13.9865i	−0.717935	−	0.521610i	0.167789	−	0.985823i	$-0.446337\pi$
$719$	−19.2508	−	13.9865i	−0.717935	−	0.521610i	−0.885724	+	0.464213i	$0.846337\pi$
$720$	−0.901651	+	0.287304i	−0.0336025	+	0.0107072i
$721$	−10.7778	−	33.1706i	−0.401386	−	1.23534i
$722$	−10.8208	+	4.81772i	−0.402708	+	0.179297i
$723$	−0.176926	+	0.217219i	−0.00657994	+	0.00807846i
$724$	−2.79994	+	0.595145i	−0.104059	+	0.0221184i
$725$	−8.06581	−	13.9704i	−0.299557	−	0.518847i
$726$	25.8123	−	11.5159i	0.957985	−	0.427394i
$727$	21.9528	−	38.0233i	0.814184	−	1.41021i	−0.0957289	−	0.995407i	$-0.530518\pi$
$727$	21.9528	−	38.0233i	0.814184	−	1.41021i	0.909913	−	0.414800i	$-0.136148\pi$
$728$	1.78481	−	5.49307i	0.0661494	−	0.203587i
$729$	15.4952	+	22.1111i	0.573895	+	0.818929i
$730$	0.999269	+	0.726011i	0.0369846	+	0.0268709i
$731$	−1.48377	−	0.315385i	−0.0548793	−	0.0116649i
$732$	1.12358	−	2.18974i	0.0415289	−	0.0809351i
$733$	−1.71792	+	16.3449i	−0.0634527	+	0.603712i	0.915880	+	0.401453i	$0.131495\pi$
$733$	−1.71792	+	16.3449i	−0.0634527	+	0.603712i	−0.979332	+	0.202258i	$0.935172\pi$
$734$	−19.5892	−	8.72169i	−0.723052	−	0.321923i
$735$	0.0220956	−	0.399848i	0.000815010	−	0.0147486i
$736$	3.87532	−	6.71225i	0.142846	−	0.247417i
$737$	−0.986175	+	2.80090i	−0.0363262	+	0.103172i
$738$	0.128181	−	22.5345i	0.00471841	−	0.829507i
$739$	−1.22843	+	3.78073i	−0.0451887	+	0.139076i	−0.971105	−	0.238652i	$-0.923295\pi$
$739$	−1.22843	+	3.78073i	−0.0451887	+	0.139076i	0.925917	+	0.377728i	$0.123295\pi$
$740$	0.0145506	+	0.138439i	0.000534889	+	0.00508913i
$741$	7.77629	−	6.26058i	0.285669	−	0.229988i
$742$	−2.92921	+	3.25322i	−0.107535	+	0.119429i
$743$	−10.5941	+	11.7659i	−0.388658	+	0.431649i	−0.905444	−	0.424466i	$-0.860462\pi$
$743$	−10.5941	+	11.7659i	−0.388658	+	0.431649i	0.516786	+	0.856115i	$0.327128\pi$
$744$	5.93233	−	4.77603i	0.217490	−	0.175098i
$745$	0.0163516	+	0.155575i	0.000599076	+	0.00569983i
$746$	−4.23474	+	13.0332i	−0.155045	+	0.477179i
$747$	46.5258	+	27.2157i	1.70229	+	0.995770i
$748$	−0.0987759	−	0.0755111i	−0.00361160	−	0.00276096i
$749$	13.6538	−	23.6491i	0.498899	−	0.864118i
$750$	−0.102489	+	1.85466i	−0.00374235	+	0.0677225i
$751$	−35.3346	−	15.7320i	−1.28938	−	0.574068i	−0.356511	−	0.934291i	$-0.616034\pi$
$751$	−35.3346	−	15.7320i	−1.28938	−	0.574068i	−0.932866	+	0.360224i	$0.882700\pi$
$752$	3.95818	−	37.6595i	0.144340	−	1.37330i
$753$	−7.05065	+	13.7409i	−0.256940	+	0.500747i
$754$	−5.20012	−	1.10532i	−0.189377	−	0.0402534i
$755$	0.408160	+	0.296546i	0.0148545	+	0.0107924i
$756$	−0.335456	+	2.00700i	−0.0122004	+	0.0729940i
$757$	−3.47082	+	10.6821i	−0.126149	+	0.388247i	−0.994109	−	0.108388i	$-0.965431\pi$
$757$	−3.47082	+	10.6821i	−0.126149	+	0.388247i	0.867960	+	0.496635i	$0.165431\pi$
$758$	3.71732	−	6.43859i	0.135019	−	0.233860i
$759$	18.8080	−	34.5540i	0.682686	−	1.25423i
$760$	0.501415	+	0.868476i	0.0181882	+	0.0315029i
$761$	36.0942	−	7.67206i	1.30841	−	0.278112i	0.499641	−	0.866233i	$-0.333465\pi$
$761$	36.0942	−	7.67206i	1.30841	−	0.278112i	0.808773	+	0.588121i	$0.200132\pi$
$762$	32.2627	−	39.6102i	1.16875	−	1.43493i
$763$	−8.92311	+	3.97283i	−0.323038	+	0.143826i
$764$	−1.06110	−	3.26572i	−0.0383892	−	0.118150i
$765$	0.0299490	+	0.0272762i	0.00108281	+	0.000986175i
$766$	41.9556	+	30.4825i	1.51592	+	1.10138i
$767$	0.615429	+	5.85542i	0.0222219	+	0.211427i
$768$	6.91947	+	4.52159i	0.249685	+	0.163159i
$769$	−24.4141	−	42.2864i	−0.880393	−	1.52489i	−0.850904	−	0.525321i	$-0.823945\pi$
$769$	−24.4141	−	42.2864i	−0.880393	−	1.52489i	−0.0294888	−	0.999565i	$-0.509388\pi$
$770$	−0.626949	−	0.297654i	−0.0225937	−	0.0107267i
$771$	−1.92983	+	7.12115i	−0.0695012	+	0.256462i
$772$	2.23568	+	2.48298i	0.0804640	+	0.0893643i
$773$	6.32496	−	4.59536i	0.227493	−	0.165283i	−0.468200	−	0.883623i	$-0.655097\pi$
$773$	6.32496	−	4.59536i	0.227493	−	0.165283i	0.695693	+	0.718339i	$0.255097\pi$
$774$	−35.9418	−	3.98446i	−1.29190	−	0.143218i
$775$	−2.54269	−	7.82558i	−0.0913360	−	0.281103i
$776$	−27.2920	−	5.80110i	−0.979727	−	0.208247i
$777$	−30.1923	−	11.6884i	−1.08314	−	0.419319i
$778$	29.7015	+	13.2240i	1.06485	+	0.474102i
$779$	−25.7279	+	5.46863i	−0.921796	+	0.195934i
$780$	0.0196803	+	0.0197925i	0.000704666	+	0.000708686i
$781$	−2.66593	+	4.36804i	−0.0953944	+	0.156301i
$782$	−1.89672			−0.0678264
$783$	−16.7509	−	1.02126i	−0.598629	−	0.0364969i
$784$	−11.2789	+	8.19459i	−0.402817	+	0.292664i
$785$	−1.16602	+	0.519146i	−0.0416171	+	0.0185291i
$786$	10.1663	−	19.8130i	0.362621	−	0.706707i
$787$	0.616721	−	0.684938i	0.0219837	−	0.0244154i	−0.732053	−	0.681248i	$-0.761438\pi$
$787$	0.616721	−	0.684938i	0.0219837	−	0.0244154i	0.754036	+	0.656833i	$0.228104\pi$
$788$	0.423295	−	4.02738i	0.0150792	−	0.143469i
$789$	−25.5717	+	31.3955i	−0.910378	+	1.11771i
$790$	−0.952667	−	1.05804i	−0.0338944	−	0.0376435i
$791$	−22.0180			−0.782869
$792$	22.5899	+	13.9642i	0.802697	+	0.496195i
$793$	7.85186			0.278828
$794$	15.2044	+	16.8861i	0.539582	+	0.599267i
$795$	0.0674258	+	0.177154i	0.00239134	+	0.00628302i
$796$	−0.335496	+	3.19203i	−0.0118913	+	0.113138i
$797$	−24.5323	+	27.2459i	−0.868980	+	0.965100i	−0.999653	−	0.0263254i	$-0.991619\pi$
$797$	−24.5323	+	27.2459i	−0.868980	+	0.965100i	0.130673	+	0.991425i	$0.458286\pi$
$798$	25.9991	−	1.28842i	0.920357	−	0.0456095i
$799$	−1.48081	+	0.659299i	−0.0523873	+	0.0233243i
$800$	4.57321	−	3.32263i	0.161688	−	0.117473i
$801$	−35.3105	−	11.6955i	−1.24763	−	0.413241i
$802$	−0.319934			−0.0112973
$803$	−3.06408	−	38.0562i	−0.108129	−	1.34297i
$804$	0.301008	−	0.0797379i	0.0106157	−	0.00281214i
$805$	−0.944885	+	0.200841i	−0.0333028	+	0.00707873i
$806$	−2.47726	−	1.10295i	−0.0872578	−	0.0388497i
$807$	−4.04150	−	25.9953i	−0.142267	−	0.915078i
$808$	9.03891	+	1.92128i	0.317988	+	0.0675904i
$809$	−14.1795	−	43.6399i	−0.498523	−	1.53430i	−0.811393	−	0.584501i	$-0.801290\pi$
$809$	−14.1795	−	43.6399i	−0.498523	−	1.53430i	0.312869	−	0.949796i	$-0.398710\pi$
$810$	0.774746	+	0.576465i	0.0272218	+	0.0202549i
$811$	−35.8258	+	26.0290i	−1.25801	+	0.914001i	−0.998658	−	0.0517807i	$-0.983510\pi$
$811$	−35.8258	+	26.0290i	−1.25801	+	0.914001i	−0.259356	+	0.965782i	$0.583510\pi$
$812$	−0.846297	−	0.939908i	−0.0296992	−	0.0329843i
$813$	−19.1785	−	19.2879i	−0.672620	−	0.676457i
$814$	32.4004	−	34.2663i	1.13563	−	1.20103i
$815$	0.134021	+	0.232130i	0.00469454	+	0.00813117i
$816$	0.0778120	−	1.40811i	0.00272397	−	0.0492936i
$817$	4.41195	+	41.9769i	0.154355	+	1.46858i
$818$	27.2451	+	19.7947i	0.952602	+	0.692106i
$819$	−6.18532	+	1.97091i	−0.216132	+	0.0688690i
$820$	−0.0227245	−	0.0699387i	−0.000793573	−	0.00244237i
$821$	−43.9837	+	19.5828i	−1.53504	+	0.683445i	−0.988113	−	0.153732i	$-0.950871\pi$
$821$	−43.9837	+	19.5828i	−1.53504	+	0.683445i	−0.546931	+	0.837178i	$0.684204\pi$
$822$	6.69600	+	17.5931i	0.233550	+	0.613629i
$823$	36.7464	−	7.81069i	1.28090	−	0.272263i	0.483302	−	0.875454i	$-0.339437\pi$
$823$	36.7464	−	7.81069i	1.28090	−	0.272263i	0.797597	+	0.603190i	$0.206104\pi$
$824$	23.8673	+	41.3394i	0.831457	+	1.44013i
$825$	22.7817	−	17.4433i	0.793157	−	0.607298i
$826$	−7.67594	+	13.2951i	−0.267080	+	0.462596i
$827$	−16.6450	+	51.2279i	−0.578802	+	1.78137i	0.0440508	+	0.999029i	$0.485974\pi$
$827$	−16.6450	+	51.2279i	−0.578802	+	1.78137i	−0.622853	+	0.782339i	$0.714026\pi$
$828$	−4.10529	+	0.407887i	−0.142669	+	0.0141751i
$829$	−13.1554	−	9.55794i	−0.456905	−	0.331961i	0.335411	−	0.942072i	$-0.391125\pi$
$829$	−13.1554	−	9.55794i	−0.456905	−	0.331961i	−0.792316	+	0.610111i	$0.791125\pi$
$830$	1.88571	+	0.400819i	0.0654538	+	0.0139126i
$831$	7.02328	+	10.8825i	0.243635	+	0.377511i
$832$	−0.816932	+	7.77259i	−0.0283220	+	0.269466i
$833$	0.545189	+	0.242734i	0.0188897	+	0.00841023i
$834$	−12.0298	+	6.08646i	−0.416558	+	0.210757i
$835$	−0.0734297	+	0.127184i	−0.00254114	+	0.00440138i
$836$	−1.14894	+	3.26318i	−0.0397370	+	0.112859i
$837$	−8.24918	−	2.28597i	−0.285133	−	0.0790148i
$838$	−7.83065	+	24.1003i	−0.270505	+	0.832529i
$839$	−2.53174	−	24.0879i	−0.0874054	−	0.831607i	−0.947130	−	0.320849i	$-0.896032\pi$
$839$	−2.53174	−	24.0879i	−0.0874054	−	0.831607i	0.859725	−	0.510758i	$-0.170635\pi$
$840$	−0.100179	−	0.644361i	−0.00345650	−	0.0222326i
$841$	−12.4251	+	13.7995i	−0.428452	+	0.475844i
$842$	5.95350	−	6.61203i	0.205171	−	0.227866i
$843$	20.6887	+	8.00923i	0.712556	+	0.275852i
$844$	0.205813	+	1.95818i	0.00708439	+	0.0674034i
$845$	0.263038	−	0.809547i	0.00904877	−	0.0278493i
$846$	−33.5742	+	19.1303i	−1.15430	+	0.657712i
$847$	5.62691	+	20.7013i	0.193343	+	0.711305i
$848$	3.29951	−	5.71492i	0.113306	−	0.196251i
$849$	−9.51257	−	6.21607i	−0.326471	−	0.213335i
$850$	−1.26374	−	0.562654i	−0.0433460	−	0.0192989i
$851$	6.86121	−	65.2801i	0.235199	−	2.23777i
$852$	0.535970	−	0.0265607i	0.0183620	−	0.000909954i
$853$	−1.61191	−	0.342621i	−0.0551906	−	0.0117311i	0.180234	−	0.983624i	$-0.442315\pi$
$853$	−1.61191	−	0.342621i	−0.0551906	−	0.0117311i	−0.235424	+	0.971893i	$0.575648\pi$
$854$	16.5633	+	12.0340i	0.566786	+	0.411794i
$855$	0.464300	−	1.02707i	0.0158787	−	0.0351251i
$856$	−11.5492	+	35.5448i	−0.394744	+	1.21490i
$857$	−23.3721	+	40.4817i	−0.798376	+	1.38283i	0.122297	+	0.992494i	$0.460974\pi$
$857$	−23.3721	+	40.4817i	−0.798376	+	1.38283i	−0.920673	+	0.390334i	$0.872359\pi$
$858$	0.751731	−	9.42598i	0.0256637	−	0.321798i
$859$	12.7932	+	22.1585i	0.436498	+	0.756037i	0.997417	−	0.0718338i	$-0.0228851\pi$
$859$	12.7932	+	22.1585i	0.436498	+	0.756037i	−0.560918	+	0.827871i	$0.689552\pi$
$860$	−0.115428	+	0.0245350i	−0.00393607	+	0.000836638i
$861$	16.8853	+	2.72363i	0.575451	+	0.0928210i
$862$	5.41411	−	2.41052i	0.184405	−	0.0821026i
$863$	−0.836222	−	2.57363i	−0.0284653	−	0.0876073i	0.935815	−	0.352493i	$-0.114666\pi$
$863$	−0.836222	−	2.57363i	−0.0284653	−	0.0876073i	−0.964280	+	0.264885i	$0.914666\pi$
$864$	−0.257656	−	5.87507i	−0.00876562	−	0.199874i
$865$	0.503472	+	0.365794i	0.0171186	+	0.0124374i
$866$	−4.20487	−	40.0067i	−0.142887	−	1.35948i
$867$	26.2196	−	13.2658i	0.890465	−	0.450529i
$868$	−0.322563	−	0.558695i	−0.0109485	−	0.0189634i
$869$	−5.66562	+	43.6420i	−0.192193	+	1.48046i
$870$	−0.580214	+	0.153701i	−0.0196711	+	0.00521094i
$871$	0.664730	+	0.738257i	0.0225235	+	0.0250149i
$872$	10.8151	−	7.85762i	0.366245	−	0.266093i
$873$	12.5923	+	28.7214i	0.426185	+	0.972071i
$874$	16.3086	+	50.1928i	0.551648	+	1.69780i
$875$	−1.37899	−	0.293114i	−0.0466185	−	0.00990907i
$876$	−3.11860	+	2.51074i	−0.105368	+	0.0848299i
$877$	−25.5977	−	11.3968i	−0.864371	−	0.384843i	−0.0738442	−	0.997270i	$-0.523527\pi$
$877$	−25.5977	−	11.3968i	−0.864371	−	0.384843i	−0.790527	+	0.612427i	$0.790193\pi$
$878$	−36.9268	+	7.84904i	−1.24622	+	0.264892i
$879$	5.32923	−	19.6651i	0.179750	−	0.663286i
$880$	1.01773	+	0.242396i	0.0343075	+	0.00817117i
$881$	30.6218			1.03167			0.515837	−	0.856687i	$-0.327481\pi$
$881$	30.6218			1.03167			0.515837	+	0.856687i	$0.327481\pi$
$882$	13.5052	+	4.47320i	0.454745	+	0.150621i
$883$	−21.8315	+	15.8615i	−0.734688	+	0.533782i	−0.891043	−	0.453919i	$-0.850026\pi$
$883$	−21.8315	+	15.8615i	−0.734688	+	0.533782i	0.156355	+	0.987701i	$0.450026\pi$
$884$	−0.0379992	+	0.0169184i	−0.00127805	+	0.000569026i
$885$	0.360455	+	0.558523i	0.0121166	+	0.0187745i
$886$	−10.0502	+	11.1619i	−0.337643	+	0.374990i
$887$	−3.95536	+	37.6327i	−0.132808	+	1.26358i	0.701654	+	0.712518i	$0.252445\pi$
$887$	−3.95536	+	37.6327i	−0.132808	+	1.26358i	−0.834462	+	0.551065i	$0.814222\pi$
$888$	43.7452	+	7.05615i	1.46799	+	0.236789i
$889$	25.9448	+	28.8146i	0.870162	+	0.966412i
$890$	−1.33039			−0.0445947
$891$	−2.05695	−	29.7787i	−0.0689103	−	0.997623i
$892$	3.39508			0.113676
$893$	30.1796	+	33.5178i	1.00992	+	1.12163i
$894$	−5.48652	−	0.884982i	−0.183497	−	0.0295982i
$895$	0.0190500	−	0.181248i	0.000636771	−	0.00605847i
$896$	−16.5895	+	18.4245i	−0.554217	+	0.615520i
$897$	−7.13685	−	11.0585i	−0.238293	−	0.369233i
$898$	−22.1301	+	9.85298i	−0.738493	+	0.328798i
$899$	4.30443	−	3.12735i	0.143561	−	0.104303i
$900$	−2.85627	−	0.946053i	−0.0952089	−	0.0315351i
$901$	−0.282480			−0.00941078
$902$	−12.9788	+	21.2654i	−0.432148	+	0.708062i
$903$	7.17900	−	26.4908i	0.238902	−	0.881558i
$904$	29.4759	−	6.26531i	0.980355	−	0.208381i
$905$	−0.941911	−	0.419366i	−0.0313102	−	0.0139402i
$906$	−13.9612	+	11.2399i	−0.463829	+	0.373422i
$907$	−26.7712	−	5.69039i	−0.888922	−	0.188946i	−0.259253	−	0.965810i	$-0.583476\pi$
$907$	−26.7712	−	5.69039i	−0.888922	−	0.188946i	−0.629669	+	0.776863i	$0.716810\pi$
$908$	0.197567	+	0.608049i	0.00655650	+	0.0201788i
$909$	−4.17047	−	9.51229i	−0.138326	−	0.315503i
$910$	−0.187841	+	0.136474i	−0.00622685	+	0.00452407i
$911$	12.7296	+	14.1376i	0.421750	+	0.468401i	0.916151	−	0.400833i	$-0.131279\pi$
$911$	12.7296	+	14.1376i	0.421750	+	0.468401i	−0.494401	+	0.869234i	$0.664613\pi$
$912$	−37.9318	+	10.0483i	−1.25605	+	0.332731i
$913$	−28.5282	−	52.3174i	−0.944146	−	1.73145i
$914$	−17.4364	−	30.2008i	−0.576746	−	0.998953i
$915$	0.791019	−	0.400215i	0.0261503	−	0.0132307i
$916$	−0.101195	−	0.962808i	−0.00334358	−	0.0318121i
$917$	13.6739	+	9.93465i	0.451551	+	0.328071i
$918$	−1.21359	+	0.773471i	−0.0400543	+	0.0255283i
$919$	−0.367135	−	1.12992i	−0.0121107	−	0.0372728i	0.944819	−	0.327594i	$-0.106238\pi$
$919$	−0.367135	−	1.12992i	−0.0121107	−	0.0372728i	−0.956929	+	0.290321i	$0.906238\pi$
$920$	1.20779	−	0.537742i	0.0398196	−	0.0177288i
$921$	−40.7184	−	6.56793i	−1.34172	−	0.216421i
$922$	−11.3086	+	2.40371i	−0.372428	+	0.0791621i
$923$	0.855997	+	1.48263i	0.0281755	+	0.0488014i
$924$	1.46279	−	1.70909i	0.0481221	−	0.0562249i
$925$	23.9366	−	41.4594i	0.787031	−	1.36318i
$926$	13.6634	−	42.0517i	0.449008	−	1.38191i
$927$	22.1006	−	48.8886i	0.725880	−	1.60571i
$928$	2.95712	+	2.14847i	0.0970722	+	0.0705271i
$929$	−10.2650	−	2.18189i	−0.336783	−	0.0715854i	0.0364162	−	0.999337i	$-0.488406\pi$
$929$	−10.2650	−	2.18189i	−0.336783	−	0.0715854i	−0.373199	+	0.927751i	$0.621739\pi$
$930$	−0.305784	+	0.0151535i	−0.0100271	+	0.000496904i
$931$	1.73574	−	16.5145i	0.0568866	−	0.541240i
$932$	−3.86025	−	1.71869i	−0.126447	−	0.0562976i
$933$	34.1426	+	22.3108i	1.11778	+	0.730423i
$934$	−26.8479	+	46.5019i	−0.878489	+	1.52159i
$935$	−0.0127966	−	0.0429166i	−0.000418494	−	0.00140352i
$936$	7.71959	−	4.39855i	0.252323	−	0.143771i
$937$	2.89184	−	8.90017i	0.0944723	−	0.290756i	−0.892643	−	0.450763i	$-0.851152\pi$
$937$	2.89184	−	8.90017i	0.0944723	−	0.290756i	0.987116	+	0.160007i	$0.0511518\pi$
$938$	0.270761	+	2.57612i	0.00884067	+	0.0841133i
$939$	18.4959	+	7.16034i	0.603592	+	0.233669i
$940$	−0.0843772	+	0.0937104i	−0.00275208	+	0.00305650i
$941$	−10.9981	+	12.2146i	−0.358528	+	0.398186i	−0.895243	−	0.445578i	$-0.852998\pi$
$941$	−10.9981	+	12.2146i	−0.358528	+	0.398186i	0.536715	+	0.843763i	$0.319665\pi$
$942$	−6.96605	−	44.8063i	−0.226966	−	1.45987i
$943$	3.62466	+	34.4863i	0.118035	+	1.12303i
$944$	7.15128	−	22.0094i	0.232754	−	0.716345i
$945$	−0.522668	+	0.513825i	−0.0170024	+	0.0167147i
$946$	31.7609	+	24.2802i	1.03264	+	0.789418i
$947$	1.37786	−	2.38652i	0.0447744	−	0.0775515i	−0.842770	−	0.538274i	$-0.819076\pi$
$947$	1.37786	−	2.38652i	0.0447744	−	0.0775515i	0.887544	+	0.460723i	$0.152410\pi$
$948$	4.11787	−	2.08343i	0.133742	−	0.0676666i
$949$	−11.6686	−	5.19519i	−0.378779	−	0.168643i
$950$	−4.02343	+	38.2803i	−0.130537	+	1.24198i
$951$	13.8219	+	21.4169i	0.448204	+	0.694491i
$952$	0.950561	+	0.202048i	0.0308079	+	0.00654841i
$953$	−42.5222	−	30.8942i	−1.37743	−	1.00076i	−0.997115	−	0.0759025i	$-0.975816\pi$
$953$	−42.5222	−	30.8942i	−1.37743	−	1.00076i	−0.380313	−	0.924858i	$-0.624184\pi$
$954$	−6.70107	+	0.665796i	−0.216955	+	0.0215559i
$955$	0.382200	−	1.17629i	0.0123677	−	0.0380639i
$956$	−1.43501	+	2.48550i	−0.0464114	+	0.0803869i
$957$	15.2792	+	10.5246i	0.493908	+	0.340212i
$958$	5.55056	+	9.61385i	0.179330	+	0.310609i
$959$	−13.9751	+	2.97050i	−0.451279	+	0.0959223i
$960$	0.313874	+	0.824672i	0.0101302	+	0.0266162i
$961$	−25.8407	+	11.5050i	−0.833570	+	0.371129i
$962$	−4.87535	−	15.0048i	−0.157188	−	0.483774i
$963$	40.0242	−	12.7534i	1.28976	−	0.410973i
$964$	−0.0262761	−	0.0190907i	−0.000846297	−	0.000614871i
$965$	0.125797	+	1.19688i	0.00404954	+	0.0385288i
$966$	1.89353	−	34.2659i	0.0609235	−	1.10249i
$967$	19.5173	+	33.8050i	0.627636	+	1.08710i	0.988025	+	0.154295i	$0.0493105\pi$
$967$	19.5173	+	33.8050i	0.627636	+	1.08710i	−0.360389	+	0.932802i	$0.617356\pi$
$968$	−13.4235	−	26.1121i	−0.431448	−	0.839276i
$969$	1.18436	+	1.19112i	0.0380473	+	0.0382643i
$970$	0.750525	+	0.833543i	0.0240979	+	0.0267634i
$971$	−4.37355	+	3.17757i	−0.140354	+	0.101973i	−0.655747	−	0.754981i	$-0.727646\pi$
$971$	−4.37355	+	3.17757i	−0.140354	+	0.101973i	0.515393	+	0.856954i	$0.327646\pi$
$972$	−2.46037	+	1.93510i	−0.0789165	+	0.0620682i
$973$	−3.16203	−	9.73171i	−0.101370	−	0.311984i
$974$	11.4774	+	2.43959i	0.367759	+	0.0781697i
$975$	−1.47466	−	9.48519i	−0.0472271	−	0.303769i
$976$	−28.1943	−	12.5529i	−0.902476	−	0.401808i
$977$	28.4847	−	6.05462i	0.911307	−	0.193704i	0.271678	−	0.962388i	$-0.412421\pi$
$977$	28.4847	−	6.05462i	0.911307	−	0.193704i	0.639629	+	0.768684i	$0.279088\pi$
$978$	−9.20499	+	2.43843i	−0.294343	+	0.0779725i
$979$	26.7634	+	31.2219i	0.855362	+	0.997855i
$980$	0.0464261			0.00148303
$981$	−14.2633	−	4.72429i	−0.455392	−	0.150835i
$982$	−24.7159	+	17.9571i	−0.788715	+	0.573035i
$983$	−12.9821	+	5.78001i	−0.414065	+	0.184354i	−0.603187	−	0.797600i	$-0.706103\pi$
$983$	−12.9821	+	5.78001i	−0.414065	+	0.184354i	0.189122	+	0.981954i	$0.439436\pi$
$984$	−23.3798	+	1.15862i	−0.745321	+	0.0369354i
$985$	0.976011	−	1.08397i	0.0310983	−	0.0345382i
$986$	0.0934997	−	0.889590i	0.00297764	−	0.0283303i
$987$	−10.4325	−	27.4103i	−0.332070	−	0.872481i
$988$	0.774442	+	0.860105i	0.0246383	+	0.0273636i
$989$	55.6454			1.76942
$990$	−0.404717	−	0.987917i	−0.0128628	−	0.0313981i
$991$	−23.9992			−0.762358			−0.381179	−	0.924501i	$-0.624482\pi$
$991$	−23.9992			−0.762358			−0.381179	+	0.924501i	$0.624482\pi$
$992$	1.24754	+	1.38553i	0.0396094	+	0.0439907i
$993$	−14.7250	+	18.0785i	−0.467285	+	0.573705i
$994$	−0.466610	+	4.43950i	−0.0148000	+	0.140812i
$995$	−0.773569	+	0.859135i	−0.0245238	+	0.0272364i
$996$	−2.85277	+	5.55973i	−0.0903934	+	0.176167i
$997$	46.9500	−	20.9035i	1.48692	−	0.662021i	0.507100	−	0.861887i	$-0.330718\pi$
$997$	46.9500	−	20.9035i	1.48692	−	0.662021i	0.979823	+	0.199867i	$0.0640509\pi$
$998$	17.4704	−	12.6930i	0.553015	−	0.401789i
$999$	−22.2308	−	44.5665i	−0.703353	−	1.41002i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.97.3	yes	72
3.2	odd	2		297.2.n.b.262.7		72
9.2	odd	6		891.2.f.e.163.7		36
9.4	even	3	inner	99.2.m.b.31.7	yes	72
9.5	odd	6		297.2.n.b.64.3		72
9.7	even	3		891.2.f.f.163.3		36
11.4	even	5		1089.2.e.p.727.14		36
11.5	even	5	inner	99.2.m.b.16.7	✓	72
11.7	odd	10		1089.2.e.o.727.5		36
33.5	odd	10		297.2.n.b.181.3		72
99.4	even	15		1089.2.e.p.364.14		36
99.5	odd	30		297.2.n.b.280.7		72
99.7	odd	30		9801.2.a.co.1.14		18
99.16	even	15		891.2.f.f.82.3		36
99.29	even	30		9801.2.a.cn.1.5		18
99.38	odd	30		891.2.f.e.82.7		36
99.40	odd	30		1089.2.e.o.364.5		36
99.49	even	15	inner	99.2.m.b.49.3	yes	72
99.70	even	15		9801.2.a.cm.1.5		18
99.92	odd	30		9801.2.a.cp.1.14		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.16.7	✓	72	11.5	even	5	inner
99.2.m.b.31.7	yes	72	9.4	even	3	inner
99.2.m.b.49.3	yes	72	99.49	even	15	inner
99.2.m.b.97.3	yes	72	1.1	even	1	trivial
297.2.n.b.64.3		72	9.5	odd	6
297.2.n.b.181.3		72	33.5	odd	10
297.2.n.b.262.7		72	3.2	odd	2
297.2.n.b.280.7		72	99.5	odd	30
891.2.f.e.82.7		36	99.38	odd	30
891.2.f.e.163.7		36	9.2	odd	6
891.2.f.f.82.3		36	99.16	even	15
891.2.f.f.163.3		36	9.7	even	3
1089.2.e.o.364.5		36	99.40	odd	30
1089.2.e.o.727.5		36	11.7	odd	10
1089.2.e.p.364.14		36	99.4	even	15
1089.2.e.p.727.14		36	11.4	even	5
9801.2.a.cm.1.5		18	99.70	even	15
9801.2.a.cn.1.5		18	99.29	even	30
9801.2.a.co.1.14		18	99.7	odd	30
9801.2.a.cp.1.14		18	99.92	odd	30

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.m (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.992662 - 1.10246i) q^{2} +(1.70995 + 0.275817i) q^{3} +(-0.0209894 + 0.199701i) q^{4} +(-0.0483964 + 0.0537496i) q^{5} +(-1.39332 - 2.15895i) q^{6} +(1.78161 - 0.793226i) q^{7} +(-2.15937 + 1.56887i) q^{8} +(2.84785 + 0.943265i) q^{9} +0.107298 q^{10} +(-2.15852 - 2.51810i) q^{11} +(-0.0909718 + 0.335689i) q^{12} +(-1.08533 + 0.230693i) q^{13} +(-2.64304 - 1.17676i) q^{14} +(-0.0975803 + 0.0785605i) q^{15} +(4.26598 + 0.906761i) q^{16} +(-0.0576906 - 0.177553i) q^{17} +(-1.78704 - 4.07599i) q^{18} +(-4.20255 + 3.05333i) q^{19} +(-0.00971804 - 0.0107930i) q^{20} +(3.26525 - 0.864976i) q^{21} +(-0.633432 + 4.87930i) q^{22} +(3.42420 + 5.93089i) q^{23} +(-4.12514 + 2.08710i) q^{24} +(0.522096 + 4.96741i) q^{25} +(1.33169 + 0.967532i) q^{26} +(4.60951 + 2.39842i) q^{27} +(0.121013 + 0.372440i) q^{28} +(-2.95048 + 1.31364i) q^{29} +(0.183474 + 0.0295946i) q^{30} +(-1.61139 + 0.342511i) q^{31} +(-0.565872 - 0.980120i) q^{32} +(-2.99642 - 4.90117i) q^{33} +(-0.138479 + 0.239852i) q^{34} +(-0.0435881 + 0.134150i) q^{35} +(-0.248146 + 0.548920i) q^{36} +(-7.75416 - 5.63373i) q^{37} +(7.53790 + 1.60223i) q^{38} +(-1.91948 + 0.0951224i) q^{39} +(0.0201793 - 0.191993i) q^{40} +(4.62566 + 2.05948i) q^{41} +(-4.19490 - 2.74119i) q^{42} +(4.06266 - 7.03673i) q^{43} +(0.548173 - 0.378204i) q^{44} +(-0.188526 + 0.107420i) q^{45} +(3.13951 - 9.66242i) q^{46} +(-0.907572 - 8.63497i) q^{47} +(7.04450 + 2.72714i) q^{48} +(-2.13897 + 2.37557i) q^{49} +(4.95812 - 5.50655i) q^{50} +(-0.0496758 - 0.319519i) q^{51} +(-0.0232893 - 0.221583i) q^{52} +(0.467571 - 1.43904i) q^{53} +(-1.93152 - 7.46263i) q^{54} +(0.239811 + 0.00584740i) q^{55} +(-2.60269 + 4.50800i) q^{56} +(-8.02831 + 4.06191i) q^{57} +(4.37707 + 1.94880i) q^{58} +(0.554654 - 5.27718i) q^{59} +(-0.0136405 - 0.0211358i) q^{60} +(-6.92183 - 1.47128i) q^{61} +(1.97717 + 1.43649i) q^{62} +(5.82199 - 0.578453i) q^{63} +(2.17659 - 6.69887i) q^{64} +(0.0401262 - 0.0695006i) q^{65} +(-2.42893 + 8.16864i) q^{66} +(-0.447660 - 0.775370i) q^{67} +(0.0366685 - 0.00779413i) q^{68} +(4.21937 + 11.0860i) q^{69} +(0.191164 - 0.0851116i) q^{70} +(-0.476791 - 1.46741i) q^{71} +(-7.62943 + 2.43106i) q^{72} +(9.31301 + 6.76630i) q^{73} +(1.48629 + 14.1411i) q^{74} +(-0.477338 + 8.63801i) q^{75} +(-0.521545 - 0.903343i) q^{76} +(-5.84306 - 2.77409i) q^{77} +(2.01027 + 2.02173i) q^{78} +(-8.87869 - 9.86078i) q^{79} +(-0.255196 + 0.185411i) q^{80} +(7.22050 + 5.37256i) q^{81} +(-2.32122 - 7.14398i) q^{82} +(17.5744 + 3.73556i) q^{83} +(0.104201 + 0.670230i) q^{84} +(0.0123354 + 0.00549209i) q^{85} +(-11.7906 + 2.50616i) q^{86} +(-5.40749 + 1.43246i) q^{87} +(8.61161 + 2.05107i) q^{88} -12.3990 q^{89} +(0.305569 + 0.101211i) q^{90} +(-1.75064 + 1.27192i) q^{91} +(-1.25628 + 0.559331i) q^{92} +(-2.84986 + 0.141228i) q^{93} +(-8.61882 + 9.57217i) q^{94} +(0.0392728 - 0.373656i) q^{95} +(-0.697279 - 1.83203i) q^{96} +(6.99476 + 7.76847i) q^{97} +4.74225 q^{98} +(-3.77189 - 9.20722i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Introduction

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