LMFDB - Embedded newform 192.2.s.a.107.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [192,2,Mod(11,192)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(192, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([8, 5, 8]))

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

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

chi := DirichletCharacter("192.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			107.2
Character	$\chi$	$=$	192.107
Dual form			192.2.s.a.131.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38618 - 0.280168i) q^{2} +(-0.0208964 + 1.73192i) q^{3} +(1.84301 + 0.776730i) q^{4} +(2.10773 + 3.15444i) q^{5} +(0.514197 - 2.39491i) q^{6} +(0.358981 - 0.866657i) q^{7} +(-2.33714 - 1.59304i) q^{8} +(-2.99913 - 0.0723821i) q^{9} +O(q^{10})$	\(q+(-1.38618 - 0.280168i) q^{2} +(-0.0208964 + 1.73192i) q^{3} +(1.84301 + 0.776730i) q^{4} +(2.10773 + 3.15444i) q^{5} +(0.514197 - 2.39491i) q^{6} +(0.358981 - 0.866657i) q^{7} +(-2.33714 - 1.59304i) q^{8} +(-2.99913 - 0.0723821i) q^{9} +(-2.03792 - 4.96315i) q^{10} +(-2.16872 - 0.431384i) q^{11} +(-1.38375 + 3.17573i) q^{12} +(1.08890 + 0.727583i) q^{13} +(-0.740424 + 1.10077i) q^{14} +(-5.50729 + 3.58451i) q^{15} +(2.79338 + 2.86304i) q^{16} +(0.926917 + 0.926917i) q^{17} +(4.13706 + 0.940595i) q^{18} +(3.29073 + 2.19880i) q^{19} +(1.43442 + 7.45080i) q^{20} +(1.49348 + 0.639838i) q^{21} +(2.88538 + 1.20558i) q^{22} +(-2.88438 - 6.96350i) q^{23} +(2.80787 - 4.01446i) q^{24} +(-3.59454 + 8.67799i) q^{25} +(-1.30558 - 1.31364i) q^{26} +(0.188031 - 5.19275i) q^{27} +(1.33476 - 1.31843i) q^{28} +(1.54962 + 7.79046i) q^{29} +(8.63838 - 3.42582i) q^{30} -2.82926 q^{31} +(-3.07001 - 4.75132i) q^{32} +(0.792443 - 3.74704i) q^{33} +(-1.02518 - 1.54457i) q^{34} +(3.49045 - 0.694293i) q^{35} +(-5.47120 - 2.46291i) q^{36} +(-3.24539 - 4.85707i) q^{37} +(-3.94553 - 3.96990i) q^{38} +(-1.28287 + 1.87070i) q^{39} +(0.0991067 - 10.7301i) q^{40} +(11.4286 - 4.73390i) q^{41} +(-1.89098 - 1.30536i) q^{42} +(4.27286 + 0.849925i) q^{43} +(-3.66190 - 2.47955i) q^{44} +(-6.09302 - 9.61312i) q^{45} +(2.04732 + 10.4608i) q^{46} +(-5.82106 + 5.82106i) q^{47} +(-5.01695 + 4.77810i) q^{48} +(4.32752 + 4.32752i) q^{49} +(7.41399 - 11.0222i) q^{50} +(-1.62472 + 1.58598i) q^{51} +(1.44173 + 2.18673i) q^{52} +(1.50136 - 7.54785i) q^{53} +(-1.71549 + 7.14542i) q^{54} +(-3.21029 - 7.75031i) q^{55} +(-2.21961 + 1.45362i) q^{56} +(-3.87692 + 5.65335i) q^{57} +(0.0345837 - 11.2332i) q^{58} +(10.1587 - 6.78785i) q^{59} +(-12.9342 + 2.32861i) q^{60} +(-1.88076 - 9.45520i) q^{61} +(3.92188 + 0.792669i) q^{62} +(-1.13936 + 2.57323i) q^{63} +(2.92442 + 7.44632i) q^{64} +4.96843i q^{65} +(-2.14827 + 4.97206i) q^{66} +(-3.61720 + 0.719505i) q^{67} +(0.988354 + 2.42828i) q^{68} +(12.1205 - 4.85001i) q^{69} +(-5.03292 - 0.0154949i) q^{70} +(5.66886 + 2.34812i) q^{71} +(6.89406 + 4.94691i) q^{72} +(7.31800 - 3.03121i) q^{73} +(3.13791 + 7.64204i) q^{74} +(-14.9545 - 6.40681i) q^{75} +(4.35699 + 6.60842i) q^{76} +(-1.15239 + 1.72467i) q^{77} +(2.30241 - 2.23371i) q^{78} +(0.775337 - 0.775337i) q^{79} +(-3.14360 + 14.8461i) q^{80} +(8.98952 + 0.434166i) q^{81} +(-17.1685 + 3.36011i) q^{82} +(-0.820241 + 1.22758i) q^{83} +(2.25552 + 2.33926i) q^{84} +(-0.970213 + 4.87759i) q^{85} +(-5.68485 - 2.37527i) q^{86} +(-13.5249 + 2.52103i) q^{87} +(4.38137 + 4.46306i) q^{88} +(-7.71911 - 3.19736i) q^{89} +(5.75275 + 15.0326i) q^{90} +(1.02146 - 0.682518i) q^{91} +(0.0928191 - 15.0742i) q^{92} +(0.0591214 - 4.90007i) q^{93} +(9.69993 - 6.43818i) q^{94} +15.0149i q^{95} +(8.29308 - 5.21774i) q^{96} +4.10525i q^{97} +(-4.78631 - 7.21117i) q^{98} +(6.47303 + 1.45075i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{16}\right)$

Coefficient data

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

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

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

$2$	−1.38618	−	0.280168i	−0.980180	−	0.198109i
$2$	−1.38618	−	0.280168i	−0.980180	−	0.198109i
$3$	−0.0208964	+	1.73192i	−0.0120646	+	0.999927i
$3$	−0.0208964	+	1.73192i	−0.0120646	+	0.999927i
$4$	1.84301	+	0.776730i	0.921506	+	0.388365i
$5$	2.10773	+	3.15444i	0.942604	+	1.41071i	0.911550	+	0.411189i	$0.134886\pi$
$5$	2.10773	+	3.15444i	0.942604	+	1.41071i	0.0310543	+	0.999518i	$0.490114\pi$
$6$	0.514197	−	2.39491i	0.209920	−	0.977719i
$7$	0.358981	−	0.866657i	0.135682	−	0.327565i	−0.841405	−	0.540405i	$-0.818271\pi$
$7$	0.358981	−	0.866657i	0.135682	−	0.327565i	0.977087	+	0.212839i	$0.0682711\pi$
$8$	−2.33714	−	1.59304i	−0.826303	−	0.563226i
$9$	−2.99913	−	0.0723821i	−0.999709	−	0.0241274i
$10$	−2.03792	−	4.96315i	−0.644448	−	1.56949i
$11$	−2.16872	−	0.431384i	−0.653892	−	0.130067i	−0.143014	−	0.989721i	$-0.545680\pi$
$11$	−2.16872	−	0.431384i	−0.653892	−	0.130067i	−0.510878	+	0.859653i	$0.670680\pi$
$12$	−1.38375	+	3.17573i	−0.399454	+	0.916753i
$13$	1.08890	+	0.727583i	0.302008	+	0.201795i	0.697335	−	0.716745i	$-0.254369\pi$
$13$	1.08890	+	0.727583i	0.302008	+	0.201795i	−0.395328	+	0.918540i	$0.629369\pi$
$14$	−0.740424	+	1.10077i	−0.197887	+	0.294193i
$15$	−5.50729	+	3.58451i	−1.42198	+	0.925516i
$16$	2.79338	+	2.86304i	0.698345	+	0.715761i
$17$	0.926917	+	0.926917i	0.224810	+	0.224810i	0.810521	−	0.585710i	$-0.199184\pi$
$17$	0.926917	+	0.926917i	0.224810	+	0.224810i	−0.585710	+	0.810521i	$0.699184\pi$
$18$	4.13706	+	0.940595i	0.975115	+	0.221700i
$19$	3.29073	+	2.19880i	0.754946	+	0.504439i	0.872492	−	0.488629i	$-0.162503\pi$
$19$	3.29073	+	2.19880i	0.754946	+	0.504439i	−0.117546	+	0.993067i	$0.537503\pi$
$20$	1.43442	+	7.45080i	0.320746	+	1.66605i
$21$	1.49348	+	0.639838i	0.325905	+	0.139624i
$22$	2.88538	+	1.20558i	0.615165	+	0.257031i
$23$	−2.88438	−	6.96350i	−0.601434	−	1.45199i	−0.872105	−	0.489318i	$-0.837246\pi$
$23$	−2.88438	−	6.96350i	−0.601434	−	1.45199i	0.270671	−	0.962672i	$-0.412754\pi$
$24$	2.80787	−	4.01446i	0.573154	−	0.819448i
$25$	−3.59454	+	8.67799i	−0.718908	+	1.73560i
$26$	−1.30558	−	1.31364i	−0.256045	−	0.257626i
$27$	0.188031	−	5.19275i	0.0361867	−	0.999345i
$28$	1.33476	−	1.31843i	0.252247	−	0.249159i
$29$	1.54962	+	7.79046i	0.287757	+	1.44665i	0.806252	+	0.591572i	$0.201492\pi$
$29$	1.54962	+	7.79046i	0.287757	+	1.44665i	−0.518495	+	0.855080i	$0.673508\pi$
$30$	8.63838	−	3.42582i	1.57715	−	0.625466i
$31$	−2.82926			−0.508150			−0.254075	−	0.967184i	$-0.581771\pi$
$31$	−2.82926			−0.508150			−0.254075	+	0.967184i	$0.581771\pi$
$32$	−3.07001	−	4.75132i	−0.542706	−	0.839923i
$33$	0.792443	−	3.74704i	0.137947	−	0.652275i
$34$	−1.02518	−	1.54457i	−0.175818	−	0.264892i
$35$	3.49045	−	0.694293i	0.589993	−	0.117357i
$36$	−5.47120	−	2.46291i	−0.911867	−	0.410485i
$37$	−3.24539	−	4.85707i	−0.533539	−	0.798497i	0.462575	−	0.886580i	$-0.346926\pi$
$37$	−3.24539	−	4.85707i	−0.533539	−	0.798497i	−0.996113	+	0.0880835i	$0.971926\pi$
$38$	−3.94553	−	3.96990i	−0.640049	−	0.644002i
$39$	−1.28287	+	1.87070i	−0.205424	+	0.299551i
$40$	0.0991067	−	10.7301i	0.0156702	−	1.69657i
$41$	11.4286	−	4.73390i	1.78485	−	0.739311i	0.793424	−	0.608669i	$-0.208296\pi$
$41$	11.4286	−	4.73390i	1.78485	−	0.739311i	0.991430	−	0.130642i	$-0.0417038\pi$
$42$	−1.89098	−	1.30536i	−0.291784	−	0.201421i
$43$	4.27286	+	0.849925i	0.651606	+	0.129612i	0.509815	−	0.860284i	$-0.329714\pi$
$43$	4.27286	+	0.849925i	0.651606	+	0.129612i	0.141791	+	0.989897i	$0.454714\pi$
$44$	−3.66190	−	2.47955i	−0.552052	−	0.373806i
$45$	−6.09302	−	9.61312i	−0.908293	−	1.43304i
$46$	2.04732	+	10.4608i	0.301861	+	1.54236i
$47$	−5.82106	+	5.82106i	−0.849089	+	0.849089i	−0.990019	−	0.140931i	$-0.954991\pi$
$47$	−5.82106	+	5.82106i	−0.849089	+	0.849089i	0.140931	+	0.990019i	$0.454991\pi$
$48$	−5.01695	+	4.77810i	−0.724134	+	0.689659i
$49$	4.32752	+	4.32752i	0.618217	+	0.618217i
$50$	7.41399	−	11.0222i	1.04850	−	1.55878i
$51$	−1.62472	+	1.58598i	−0.227506	+	0.222082i
$52$	1.44173	+	2.18673i	0.199932	+	0.303245i
$53$	1.50136	−	7.54785i	0.206228	−	1.03678i	−0.729480	−	0.684002i	$-0.760238\pi$
$53$	1.50136	−	7.54785i	0.206228	−	1.03678i	0.935708	−	0.352775i	$-0.114762\pi$
$54$	−1.71549	+	7.14542i	−0.233449	+	0.972369i
$55$	−3.21029	−	7.75031i	−0.432875	−	1.04505i
$56$	−2.21961	+	1.45362i	−0.296608	+	0.194249i
$57$	−3.87692	+	5.65335i	−0.513510	+	0.748805i
$58$	0.0345837	−	11.2332i	0.00454106	−	1.47499i
$59$	10.1587	−	6.78785i	1.32255	−	0.883703i	0.324490	−	0.945889i	$-0.394807\pi$
$59$	10.1587	−	6.78785i	1.32255	−	0.883703i	0.998065	+	0.0621862i	$0.0198072\pi$
$60$	−12.9342	+	2.32861i	−1.66980	+	0.300623i
$61$	−1.88076	−	9.45520i	−0.240806	−	1.21061i	−0.892117	−	0.451804i	$-0.850781\pi$
$61$	−1.88076	−	9.45520i	−0.240806	−	1.21061i	0.651311	−	0.758811i	$-0.274219\pi$
$62$	3.92188	+	0.792669i	0.498079	+	0.100669i
$63$	−1.13936	+	2.57323i	−0.143546	+	0.324196i
$64$	2.92442	+	7.44632i	0.365553	+	0.930791i
$65$			4.96843i			0.616257i
$66$	−2.14827	+	4.97206i	−0.264434	+	0.612019i
$67$	−3.61720	+	0.719505i	−0.441911	+	0.0879016i	−0.411031	−	0.911622i	$-0.634831\pi$
$67$	−3.61720	+	0.719505i	−0.441911	+	0.0879016i	−0.0308803	+	0.999523i	$0.509831\pi$
$68$	0.988354	+	2.42828i	0.119856	+	0.294472i
$69$	12.1205	−	4.85001i	1.45914	−	0.583873i
$70$	−5.03292	−	0.0154949i	−0.601549	−	0.00185200i
$71$	5.66886	+	2.34812i	0.672770	+	0.278670i	0.692801	−	0.721129i	$-0.256377\pi$
$71$	5.66886	+	2.34812i	0.672770	+	0.278670i	−0.0200312	+	0.999799i	$0.506377\pi$
$72$	6.89406	+	4.94691i	0.812473	+	0.582999i
$73$	7.31800	−	3.03121i	0.856507	−	0.354777i	0.0891664	−	0.996017i	$-0.471580\pi$
$73$	7.31800	−	3.03121i	0.856507	−	0.354777i	0.767340	+	0.641240i	$0.221580\pi$
$74$	3.13791	+	7.64204i	0.364774	+	0.888369i
$75$	−14.9545	−	6.40681i	−1.72680	−	0.739795i
$76$	4.35699	+	6.60842i	0.499781	+	0.758038i
$77$	−1.15239	+	1.72467i	−0.131327	+	0.196545i
$78$	2.30241	−	2.23371i	0.260696	−	0.252918i
$79$	0.775337	−	0.775337i	0.0872323	−	0.0872323i	−0.662144	−	0.749376i	$-0.730353\pi$
$79$	0.775337	−	0.775337i	0.0872323	−	0.0872323i	0.749376	+	0.662144i	$0.230353\pi$
$80$	−3.14360	+	14.8461i	−0.351465	+	1.65984i
$81$	8.98952	+	0.434166i	0.998836	+	0.0482407i
$82$	−17.1685	+	3.36011i	−1.89594	+	0.371062i
$83$	−0.820241	+	1.22758i	−0.0900331	+	0.134744i	−0.873752	−	0.486371i	$-0.838320\pi$
$83$	−0.820241	+	1.22758i	−0.0900331	+	0.134744i	0.783719	+	0.621115i	$0.213320\pi$
$84$	2.25552	+	2.33926i	0.246098	+	0.255234i
$85$	−0.970213	+	4.87759i	−0.105234	+	0.529049i
$86$	−5.68485	−	2.37527i	−0.613013	−	0.256132i
$87$	−13.5249	+	2.52103i	−1.45002	+	0.270283i
$88$	4.38137	+	4.46306i	0.467056	+	0.475764i
$89$	−7.71911	−	3.19736i	−0.818224	−	0.338920i	−0.0659941	−	0.997820i	$-0.521022\pi$
$89$	−7.71911	−	3.19736i	−0.818224	−	0.338920i	−0.752230	+	0.658900i	$0.771022\pi$
$90$	5.75275	+	15.0326i	0.606393	+	1.58458i
$91$	1.02146	−	0.682518i	0.107078	−	0.0715473i
$92$	0.0928191	−	15.0742i	0.00967706	−	1.57159i
$93$	0.0591214	−	4.90007i	0.00613061	−	0.508113i
$94$	9.69993	−	6.43818i	1.00047	−	0.664048i
$95$			15.0149i			1.54049i
$96$	8.29308	−	5.21774i	0.846409	−	0.532533i
$97$			4.10525i			0.416825i	0.978041	+	0.208412i	$0.0668296\pi$
$97$			4.10525i			0.416825i	−0.978041	+	0.208412i	$0.933170\pi$
$98$	−4.78631	−	7.21117i	−0.483490	−	0.728439i
$99$	6.47303	+	1.45075i	0.650564	+	0.145806i
$100$	−13.3652	+	13.2016i	−1.33652	+	1.32016i
$101$	3.33938	−	2.23130i	0.332281	−	0.222023i	−0.378226	−	0.925713i	$-0.623466\pi$
$101$	3.33938	−	2.23130i	0.332281	−	0.222023i	0.710507	+	0.703690i	$0.248466\pi$
$102$	2.69650	−	1.74327i	0.266993	−	0.172609i
$103$	4.87870	+	2.02083i	0.480713	+	0.199118i	0.609862	−	0.792507i	$-0.291225\pi$
$103$	4.87870	+	2.02083i	0.480713	+	0.199118i	−0.129149	+	0.991625i	$0.541225\pi$
$104$	−1.38585	−	3.43513i	−0.135894	−	0.336842i
$105$	1.12953	+	6.05970i	0.110230	+	0.591366i
$106$	−4.19583	+	10.0421i	−0.407535	+	0.975373i
$107$	−1.06469	+	5.35258i	−0.102928	+	0.517453i	0.894581	+	0.446907i	$0.147474\pi$
$107$	−1.06469	+	5.35258i	−0.102928	+	0.517453i	−0.997508	+	0.0705466i	$0.977526\pi$
$108$	4.37991	−	9.42425i	0.421457	−	0.906849i
$109$	−3.68065	+	5.50849i	−0.352543	+	0.527618i	−0.964781	−	0.263056i	$-0.915270\pi$
$109$	−3.68065	+	5.50849i	−0.352543	+	0.527618i	0.612238	+	0.790674i	$0.290270\pi$
$110$	2.27865	+	11.6428i	0.217261	+	1.11010i
$111$	8.47989	−	5.51927i	0.804876	−	0.523866i
$112$	3.48405	−	1.39313i	0.329212	−	0.131638i
$113$	−2.81332	+	2.81332i	−0.264655	+	0.264655i	−0.826942	−	0.562287i	$-0.809922\pi$
$113$	−2.81332	+	2.81332i	−0.264655	+	0.264655i	0.562287	+	0.826942i	$0.309922\pi$
$114$	6.95801	−	6.75040i	0.651677	−	0.632233i
$115$	15.8864	−	23.7757i	1.48142	−	2.21710i
$116$	−3.19512	+	15.5615i	−0.296659	+	1.44485i
$117$	−3.21310	−	2.26093i	−0.297051	−	0.209023i
$118$	−15.9836	+	6.56305i	−1.47141	+	0.604178i
$119$	1.13606	−	0.470573i	0.104143	−	0.0431374i
$120$	18.5816	+	0.395865i	1.69626	+	0.0361374i
$121$	−5.64544	−	2.33842i	−0.513222	−	0.212584i
$122$	−0.0419739	+	13.6336i	−0.00380014	+	1.23433i
$123$	7.95994	+	19.8925i	0.717723	+	1.79364i
$124$	−5.21436	−	2.19757i	−0.468263	−	0.197348i
$125$	−16.3459	+	3.25140i	−1.46202	+	0.290814i
$126$	2.30030	−	3.24776i	0.204927	−	0.289333i
$127$		−	17.8743i		−	1.58609i	−0.609164	−	0.793045i	$-0.708495\pi$
$127$		−	17.8743i		−	1.58609i	0.609164	−	0.793045i	$-0.291505\pi$
$128$	−1.96757	−	11.1413i	−0.173910	−	0.984762i
$129$	−1.56129	+	7.38252i	−0.137464	+	0.649994i
$130$	1.39200	−	6.88715i	0.122086	−	0.604043i
$131$	0.967792	+	4.86542i	0.0845564	+	0.425094i	0.999756	+	0.0220927i	$0.00703291\pi$
$131$	0.967792	+	4.86542i	0.0845564	+	0.425094i	−0.915200	+	0.403001i	$0.867967\pi$
$132$	4.37092	−	6.29032i	0.380439	−	0.547502i
$133$	3.08691	−	2.06261i	0.267669	−	0.178851i
$134$	5.21568	+	0.0160576i	0.450566	+	0.00138716i
$135$	16.7765	−	10.3518i	1.44389	−	0.890938i
$136$	−0.689713	−	3.64295i	−0.0591424	−	0.312380i
$137$	−5.76938	−	13.9285i	−0.492911	−	1.18999i	−0.953232	−	0.302240i	$-0.902266\pi$
$137$	−5.76938	−	13.9285i	−0.492911	−	1.18999i	0.460321	−	0.887753i	$-0.347734\pi$
$138$	−18.1601	+	3.32722i	−1.54589	+	0.283231i
$139$	−1.27438	+	6.40675i	−0.108092	+	0.543413i	0.888353	+	0.459161i	$0.151850\pi$
$139$	−1.27438	+	6.40675i	−0.108092	+	0.543413i	−0.996444	+	0.0842520i	$0.973150\pi$
$140$	6.97221	+	1.43154i	0.589260	+	0.120988i
$141$	−9.96000	−	10.2033i	−0.838783	−	0.859271i
$142$	−7.20021	−	4.84316i	−0.604228	−	0.406429i
$143$	−2.04766	−	2.04766i	−0.171234	−	0.171234i
$144$	−8.17047	−	8.78882i	−0.680873	−	0.732402i
$145$	−21.3083	+	21.3083i	−1.76956	+	1.76956i
$146$	−10.9933	+	2.15155i	−0.909815	+	0.178063i
$147$	−7.58537	+	7.40451i	−0.625631	+	0.610714i
$148$	−2.20866	−	11.4724i	−0.181551	−	0.943027i
$149$	5.53627	+	1.10123i	0.453549	+	0.0902165i	0.416578	−	0.909100i	$-0.363229\pi$
$149$	5.53627	+	1.10123i	0.453549	+	0.0902165i	0.0369706	+	0.999316i	$0.488229\pi$
$150$	18.9347	+	13.0708i	1.54601	+	1.06723i
$151$	−13.1528	+	5.44807i	−1.07036	+	0.443357i	−0.847117	−	0.531406i	$-0.821664\pi$
$151$	−13.1528	+	5.44807i	−1.07036	+	0.443357i	−0.223242	+	0.974763i	$0.571664\pi$
$152$	−4.18811	−	10.3812i	−0.339701	−	0.842024i
$153$	−2.71285	−	2.84703i	−0.219321	−	0.230169i
$154$	2.08062	−	2.06785i	0.167661	−	0.166632i
$155$	−5.96331	−	8.92472i	−0.478985	−	0.716851i
$156$	−3.81737	+	2.45127i	−0.305635	+	0.196259i
$157$	−11.5400	+	2.29545i	−0.920994	+	0.183197i	−0.632746	−	0.774359i	$-0.718072\pi$
$157$	−11.5400	+	2.29545i	−0.920994	+	0.183197i	−0.288247	+	0.957556i	$0.593072\pi$
$158$	−1.29198	+	0.857535i	−0.102785	+	0.0682218i
$159$	13.0409	+	2.75797i	1.03421	+	0.218721i
$160$	8.51701	−	19.6986i	0.673328	−	1.55731i
$161$	−7.07040			−0.557226
$162$	−12.3395	−	3.12041i	−0.969482	−	0.245163i
$163$	0.716704	+	3.60311i	0.0561366	+	0.282218i	0.998650	−	0.0519518i	$-0.0165442\pi$
$163$	0.716704	+	3.60311i	0.0561366	+	0.282218i	−0.942513	+	0.334169i	$0.891544\pi$
$164$	24.7401	+	0.152337i	1.93188	+	0.0118955i
$165$	13.4900	−	5.39802i	1.05020	−	0.420235i
$166$	1.48093	−	1.47184i	0.114943	−	0.114237i
$167$	8.04329	−	19.4182i	0.622409	−	1.50263i	−0.226458	−	0.974021i	$-0.572715\pi$
$167$	8.04329	−	19.4182i	0.622409	−	1.50263i	0.848867	−	0.528607i	$-0.177285\pi$
$168$	−2.47119	−	3.87457i	−0.190656	−	0.298930i
$169$	−4.31855	−	10.4259i	−0.332196	−	0.801992i
$170$	2.71144	−	6.48941i	0.207958	−	0.497715i
$171$	−9.71017	−	6.83266i	−0.742555	−	0.522507i
$172$	7.21477	+	4.88528i	0.550121	+	0.372499i
$173$	−1.74752	−	1.16766i	−0.132862	−	0.0887755i	0.487363	−	0.873199i	$-0.337959\pi$
$173$	−1.74752	−	1.16766i	−0.132862	−	0.0887755i	−0.620225	+	0.784424i	$0.712959\pi$
$174$	19.4543	+	0.294629i	1.47482	+	0.0223358i
$175$	6.23047	+	6.23047i	0.470979	+	0.470979i
$176$	−4.82298	−	7.41415i	−0.363546	−	0.558862i
$177$	11.5438	+	17.7360i	0.867683	+	1.33312i
$178$	9.80431	+	6.59478i	0.734864	+	0.494300i
$179$	16.7436	+	11.1877i	1.25148	+	0.836209i	0.991589	−	0.129430i	$-0.0413147\pi$
$179$	16.7436	+	11.1877i	1.25148	+	0.836209i	0.259887	+	0.965639i	$0.416315\pi$
$180$	−3.76271	−	22.4497i	−0.280455	−	1.67330i
$181$	−5.25421	−	1.04513i	−0.390543	−	0.0776838i	−0.00408676	−	0.999992i	$-0.501301\pi$
$181$	−5.25421	−	1.04513i	−0.390543	−	0.0776838i	−0.386456	+	0.922308i	$0.626301\pi$
$182$	−1.60715	+	0.659915i	−0.119130	+	0.0489161i
$183$	16.4150	−	3.05975i	1.21343	−	0.226183i
$184$	−4.35197	+	20.8696i	−0.320832	+	1.53853i
$185$	8.48092	−	20.4747i	0.623529	−	1.50533i
$186$	−1.45480	+	6.77583i	−0.106671	+	0.496828i
$187$	−1.61036	−	2.41008i	−0.117761	−	0.176242i
$188$	−15.2497	+	6.20689i	−1.11220	+	0.452684i
$189$	−4.43283	−	2.02706i	−0.322441	−	0.147447i
$190$	4.20669	−	20.8134i	0.305186	−	1.50996i
$191$	−20.6915			−1.49719			−0.748593	−	0.663030i	$-0.769270\pi$
$191$	−20.6915			−1.49719			−0.748593	+	0.663030i	$0.769270\pi$
$192$	−12.9576	+	4.90928i	−0.935133	+	0.354297i
$193$	0.908922			0.0654256			0.0327128	−	0.999465i	$-0.489585\pi$
$193$	0.908922			0.0654256			0.0327128	+	0.999465i	$0.489585\pi$
$194$	1.15016	−	5.69063i	0.0825767	−	0.408563i
$195$	−8.60494	−	0.103822i	−0.616212	−	0.00743487i
$196$	4.61436	+	11.3370i	0.329597	+	0.809785i
$197$	2.28178	+	3.41493i	0.162570	+	0.243304i	0.903807	−	0.427940i	$-0.140760\pi$
$197$	2.28178	+	3.41493i	0.162570	+	0.243304i	−0.741237	+	0.671244i	$0.765760\pi$
$198$	−8.56635	−	3.82455i	−0.608784	−	0.271799i
$199$	−6.15004	+	14.8475i	−0.435965	+	1.05251i	0.541364	+	0.840788i	$0.317908\pi$
$199$	−6.15004	+	14.8475i	−0.435965	+	1.05251i	−0.977329	+	0.211724i	$0.932092\pi$
$200$	22.2253	−	14.5554i	1.57157	−	1.02922i
$201$	−1.17054	−	6.27975i	−0.0825637	−	0.442939i
$202$	−5.25414	+	2.15741i	−0.369680	+	0.151795i
$203$	7.30794	+	1.45364i	0.512917	+	0.102026i
$204$	−4.22625	+	1.66101i	−0.295897	+	0.116294i
$205$	39.0212	+	26.0732i	2.72536	+	1.82103i
$206$	−6.19661	−	4.16809i	−0.431738	−	0.290405i
$207$	8.14658	+	21.0932i	0.566226	+	1.46608i
$208$	0.958625	+	5.15000i	0.0664687	+	0.357088i
$209$	−6.18813	−	6.18813i	−0.428042	−	0.428042i
$210$	0.132006	−	8.71632i	0.00910929	−	0.601483i
$211$	10.0310	+	6.70249i	0.690562	+	0.461419i	0.850683	−	0.525679i	$-0.176189\pi$
$211$	10.0310	+	6.70249i	0.690562	+	0.461419i	−0.160121	+	0.987097i	$0.551189\pi$
$212$	8.62967	−	12.7446i	0.592688	−	0.875305i
$213$	−4.18522	+	9.76897i	−0.286767	+	0.669359i
$214$	2.97548	−	7.12136i	0.203400	−	0.486806i
$215$	6.32500	+	15.2699i	0.431361	+	1.04140i
$216$	−8.71173	+	11.8366i	−0.592758	+	0.805380i
$217$	−1.01565	+	2.45200i	−0.0689469	+	0.166452i
$218$	6.64537	−	6.60458i	0.450081	−	0.447318i
$219$	5.09691	+	12.7376i	0.344418	+	0.860725i
$220$	0.103307	−	16.7774i	0.00696494	−	1.13113i
$221$	0.334915	+	1.68373i	0.0225288	+	0.113260i
$222$	−13.3010	+	5.27493i	−0.892706	+	0.354030i
$223$	−3.24133			−0.217056			−0.108528	−	0.994093i	$-0.534614\pi$
$223$	−3.24133			−0.217056			−0.108528	+	0.994093i	$0.534614\pi$
$224$	−5.21984	+	0.955008i	−0.348765	+	0.0638092i
$225$	11.4086	−	25.7662i	0.760574	−	1.71775i
$226$	4.68799	−	3.11158i	0.311840	−	0.206979i
$227$	4.51010	−	0.897115i	0.299346	−	0.0595436i	−0.0431324	−	0.999069i	$-0.513734\pi$
$227$	4.51010	−	0.897115i	0.299346	−	0.0595436i	0.342478	+	0.939526i	$0.388734\pi$
$228$	−11.5363	+	7.40788i	−0.764012	+	0.490599i
$229$	−9.52561	−	14.2561i	−0.629470	−	0.942068i	−0.999913	−	0.0132131i	$-0.995794\pi$
$229$	−9.52561	−	14.2561i	−0.629470	−	0.942068i	0.370443	−	0.928855i	$-0.379206\pi$
$230$	−28.6827	+	28.5067i	−1.89128	+	1.87967i
$231$	−2.96292	−	2.03189i	−0.194946	−	0.133689i
$232$	8.78887	−	20.6760i	0.577018	−	1.35745i
$233$	−10.8554	+	4.49646i	−0.711162	+	0.294573i	−0.708785	−	0.705424i	$-0.750756\pi$
$233$	−10.8554	+	4.49646i	−0.711162	+	0.294573i	−0.00237653	+	0.999997i	$0.500756\pi$
$234$	3.82050	+	4.03427i	0.249754	+	0.263729i
$235$	−30.6314	−	6.09296i	−1.99817	−	0.397461i
$236$	23.9950	−	4.61949i	1.56194	−	0.300703i
$237$	1.32662	+	1.35903i	0.0861735	+	0.0882783i
$238$	−1.70663	+	0.334012i	−0.110625	+	0.0216508i
$239$	−4.88469	+	4.88469i	−0.315964	+	0.315964i	−0.847215	−	0.531251i	$-0.821722\pi$
$239$	−4.88469	+	4.88469i	−0.315964	+	0.315964i	0.531251	+	0.847215i	$0.321722\pi$
$240$	−25.6466	−	5.75471i	−1.65548	−	0.371465i
$241$	−6.32679	−	6.32679i	−0.407544	−	0.407544i	0.473337	−	0.880881i	$-0.343049\pi$
$241$	−6.32679	−	6.32679i	−0.407544	−	0.407544i	−0.880881	+	0.473337i	$0.843049\pi$
$242$	7.17047	+	4.82315i	0.460935	+	0.310044i
$243$	−0.939792	+	15.5601i	−0.0602877	+	0.998181i
$244$	3.87788	−	18.8869i	0.248256	−	1.20911i
$245$	−4.52966	+	22.7721i	−0.289389	+	1.45486i
$246$	−5.46070	−	29.8047i	−0.348161	−	1.90028i
$247$	1.98349	+	4.78856i	0.126206	+	0.304689i
$248$	6.61237	+	4.50714i	0.419886	+	0.286203i
$249$	−2.10893	−	1.44625i	−0.133648	−	0.0916522i
$250$	23.5694	+	0.0725633i	1.49066	+	0.00458931i
$251$	−9.19276	+	6.14241i	−0.580242	+	0.387705i	−0.810774	−	0.585359i	$-0.800953\pi$
$251$	−9.19276	+	6.14241i	−0.580242	+	0.387705i	0.230532	+	0.973065i	$0.425953\pi$
$252$	−4.09856	+	3.85752i	−0.258185	+	0.243001i
$253$	3.25145	+	16.3461i	0.204417	+	1.02767i
$254$	−5.00782	+	24.7771i	−0.314218	+	1.55465i
$255$	−8.42734	−	1.78226i	−0.527741	−	0.111609i
$256$	−0.394034	+	15.9951i	−0.0246271	+	0.999697i
$257$			18.7830i			1.17165i	0.810438	+	0.585825i	$0.199229\pi$
$257$			18.7830i			1.17165i	−0.810438	+	0.585825i	$0.800771\pi$
$258$	4.23259	−	9.79610i	0.263509	−	0.609879i
$259$	−5.37444	+	1.06904i	−0.333952	+	0.0664271i
$260$	−3.85912	+	9.15686i	−0.239333	+	0.567885i
$261$	−4.08361	−	23.4767i	−0.252769	−	1.45317i
$262$	0.0215987	−	7.01551i	0.00133437	−	0.433420i
$263$	−21.8116	−	9.03468i	−1.34496	−	0.557102i	−0.410078	−	0.912050i	$-0.634498\pi$
$263$	−21.8116	−	9.03468i	−1.34496	−	0.557102i	−0.934886	+	0.354948i	$0.884498\pi$
$264$	−7.82124	+	7.49494i	−0.481364	+	0.461282i
$265$	26.9737	−	11.1729i	1.65698	−	0.686344i
$266$	−4.85691	+	1.99430i	−0.297796	+	0.122278i
$267$	5.69889	−	13.3021i	0.348766	−	0.814076i
$268$	−7.22540	−	1.48353i	−0.441361	−	0.0906209i
$269$	5.22991	−	7.82712i	0.318873	−	0.477228i	−0.637059	−	0.770815i	$-0.719849\pi$
$269$	5.22991	−	7.82712i	0.318873	−	0.477228i	0.955932	+	0.293587i	$0.0948492\pi$
$270$	−26.1556	+	9.64920i	−1.59178	+	0.587232i
$271$	−1.59060	+	1.59060i	−0.0966219	+	0.0966219i	−0.753765	−	0.657144i	$-0.771765\pi$
$271$	−1.59060	+	1.59060i	−0.0966219	+	0.0966219i	0.657144	+	0.753765i	$0.271765\pi$
$272$	−0.0645702	+	5.24304i	−0.00391515	+	0.317906i
$273$	1.16073	+	1.78335i	0.0702503	+	0.107934i
$274$	4.09509	+	20.9239i	0.247393	+	1.26406i
$275$	11.5391	−	17.2695i	0.695833	−	1.04139i
$276$	26.1054	+	0.475752i	1.57136	+	0.0286369i
$277$	−1.44006	+	7.23969i	−0.0865250	+	0.434991i	0.913103	+	0.407728i	$0.133679\pi$
$277$	−1.44006	+	7.23969i	−0.0865250	+	0.434991i	−0.999628	+	0.0272623i	$0.991321\pi$
$278$	3.56150	−	8.52389i	0.213604	−	0.511229i
$279$	8.48531	+	0.204788i	0.508002	+	0.0122603i
$280$	−9.26370	−	3.93778i	−0.553612	−	0.235327i
$281$	−6.21152	−	2.57289i	−0.370548	−	0.153486i	0.189635	−	0.981855i	$-0.439269\pi$
$281$	−6.21152	−	2.57289i	−0.370548	−	0.153486i	−0.560184	+	0.828369i	$0.689269\pi$
$282$	10.9478	+	16.9341i	0.651929	+	1.00841i
$283$	−11.3412	+	7.57797i	−0.674167	+	0.450464i	−0.844950	−	0.534845i	$-0.820370\pi$
$283$	−11.3412	+	7.57797i	−0.674167	+	0.450464i	0.170784	+	0.985309i	$0.445370\pi$
$284$	8.62392	+	8.73078i	0.511735	+	0.518076i
$285$	−26.0046	−	0.313757i	−1.54038	−	0.0185854i
$286$	2.26474	+	3.41212i	0.133917	+	0.201763i
$287$		−	11.6041i		−	0.684968i
$288$	8.86343	+	14.4720i	0.522283	+	0.852772i
$289$		−	15.2817i		−	0.898921i
$290$	35.5072	−	23.5674i	2.08505	−	1.38392i
$291$	−7.10998	−	0.0857850i	−0.416794	−	0.00502881i
$292$	15.8416	+	0.0975443i	0.927059	+	0.00570835i
$293$	−6.76451	+	4.51990i	−0.395187	+	0.264056i	−0.737248	−	0.675622i	$-0.763875\pi$
$293$	−6.76451	+	4.51990i	−0.395187	+	0.264056i	0.342061	+	0.939678i	$0.388875\pi$
$294$	12.5892	−	8.13883i	0.734219	−	0.474666i
$295$	42.8237	+	17.7382i	2.49329	+	1.03276i
$296$	−0.152600	+	16.5217i	−0.00886971	+	0.960303i
$297$	−2.64786	+	11.1805i	−0.153644	+	0.648757i
$298$	−7.36576	−	3.07760i	−0.426687	−	0.178280i
$299$	1.92571	−	9.68121i	0.111367	−	0.559879i
$300$	−22.5850	−	23.4234i	−1.30394	−	1.35235i
$301$	2.27047	−	3.39800i	0.130868	−	0.195857i
$302$	19.7586	−	3.86702i	1.13698	−	0.222522i
$303$	3.79467	+	5.83018i	0.217998	+	0.334935i
$304$	2.89702	+	15.5636i	0.166156	+	0.892633i
$305$	25.8617	−	25.8617i	1.48084	−	1.48084i
$306$	2.96286	+	4.70657i	0.169375	+	0.269056i
$307$	10.0452	−	15.0337i	0.573309	−	0.858017i	−0.425591	−	0.904916i	$-0.639934\pi$
$307$	10.0452	−	15.0337i	0.573309	−	0.858017i	0.998900	+	0.0468983i	$0.0149337\pi$
$308$	−3.46347	+	2.28350i	−0.197350	+	0.130114i
$309$	−3.60186	+	8.40732i	−0.204903	+	0.478276i
$310$	5.76582	+	14.0420i	0.327477	+	0.797534i
$311$	−24.3612	+	10.0908i	−1.38140	+	0.572194i	−0.944855	−	0.327489i	$-0.893798\pi$
$311$	−24.3612	+	10.0908i	−1.38140	+	0.572194i	−0.436544	+	0.899683i	$0.643798\pi$
$312$	5.97835	−	2.32840i	0.338457	−	0.131820i
$313$	−21.5978	−	8.94608i	−1.22078	−	0.505663i	−0.323121	−	0.946358i	$-0.604732\pi$
$313$	−21.5978	−	8.94608i	−1.22078	−	0.505663i	−0.897657	+	0.440695i	$0.854732\pi$
$314$	16.6397	+	0.0512288i	0.939032	+	0.00289101i
$315$	−10.5186	+	1.82963i	−0.592653	+	0.103088i
$316$	2.03118	−	0.826728i	0.114263	−	0.0465071i
$317$	−17.3430	+	3.44974i	−0.974082	+	0.193757i	−0.656377	−	0.754433i	$-0.727912\pi$
$317$	−17.3430	+	3.44974i	−0.974082	+	0.193757i	−0.317704	+	0.948190i	$0.602912\pi$
$318$	−17.3044	−	7.47671i	−0.970385	−	0.419273i
$319$		−	17.5638i		−	0.983382i
$320$	−17.3251	+	24.9197i	−0.968501	+	1.39306i
$321$	−9.24801	−	1.95582i	−0.516174	−	0.109163i
$322$	9.80087	+	1.98090i	0.546181	+	0.110391i
$323$	1.01213	+	5.08834i	0.0563166	+	0.283123i
$324$	16.2306	+	7.78260i	0.901698	+	0.432367i
$325$	−10.2281	+	6.83417i	−0.567351	+	0.379092i
$326$	0.0159951	−	5.19538i	0.000885885	−	0.287745i
$327$	−9.46338	−	6.48972i	−0.523326	−	0.358883i
$328$	−34.2516	−	7.14255i	−1.89123	−	0.394382i
$329$	2.95521	+	7.13451i	0.162926	+	0.393338i
$330$	−20.2120	+	3.70316i	−1.11264	+	0.203852i
$331$	5.35657	−	26.9293i	0.294424	−	1.48017i	−0.496383	−	0.868103i	$-0.665339\pi$
$331$	5.35657	−	26.9293i	0.294424	−	1.48017i	0.790807	−	0.612065i	$-0.209661\pi$
$332$	−2.46521	+	1.62533i	−0.135296	+	0.0892018i
$333$	9.38177	+	14.8019i	0.514118	+	0.811137i
$334$	−16.5899	+	24.6638i	−0.907757	+	1.34954i
$335$	−9.89370	−	9.89370i	−0.540551	−	0.540551i
$336$	2.33998	+	6.06322i	0.127657	+	0.330776i
$337$	22.4426	−	22.4426i	1.22252	−	1.22252i	0.255792	−	0.966732i	$-0.417664\pi$
$337$	22.4426	−	22.4426i	1.22252	−	1.22252i	0.966732	−	0.255792i	$-0.0823363\pi$
$338$	3.06530	+	15.6621i	0.166730	+	0.851908i
$339$	−4.81368	−	4.93125i	−0.261443	−	0.267829i
$340$	−5.57668	+	8.23586i	−0.302438	+	0.446652i
$341$	6.13586	+	1.22050i	0.332275	+	0.0660937i
$342$	11.5458	+	12.1918i	0.624325	+	0.659257i
$343$	11.3706	−	4.70984i	0.613953	−	0.254308i
$344$	−8.63230	−	8.79325i	−0.465423	−	0.474100i
$345$	40.8458	+	28.0109i	2.19906	+	1.50806i
$346$	2.09525	+	2.10819i	0.112641	+	0.113337i
$347$	−3.78805	−	5.66922i	−0.203353	−	0.304340i	0.715750	−	0.698357i	$-0.246085\pi$
$347$	−3.78805	−	5.66922i	−0.203353	−	0.304340i	−0.919103	+	0.394017i	$0.871085\pi$
$348$	−26.8847	−	5.85888i	−1.44117	−	0.314069i
$349$	20.4598	−	4.06970i	1.09519	−	0.217846i	0.385742	−	0.922607i	$-0.373946\pi$
$349$	20.4598	−	4.06970i	1.09519	−	0.217846i	0.709445	+	0.704761i	$0.248946\pi$
$350$	−6.89099	−	10.3821i	−0.368339	−	0.554949i
$351$	3.98290	−	5.51760i	0.212592	−	0.294508i
$352$	4.60832	+	11.6286i	0.245625	+	0.619807i
$353$	−0.254683			−0.0135554			−0.00677769	−	0.999977i	$-0.502157\pi$
$353$	−0.254683			−0.0135554			−0.00677769	+	0.999977i	$0.502157\pi$
$354$	−11.0327	−	27.8196i	−0.586382	−	1.47859i
$355$	4.54142	+	22.8312i	0.241033	+	1.21176i
$356$	−11.7429	−	11.8884i	−0.622374	−	0.630086i
$357$	0.791258	+	1.97741i	0.0418778	+	0.104656i
$358$	−20.0753	−	20.1993i	−1.06101	−	1.06756i
$359$	2.17637	−	5.25422i	0.114864	−	0.277307i	−0.855984	−	0.517003i	$-0.827048\pi$
$359$	2.17637	−	5.25422i	0.114864	−	0.277307i	0.970848	+	0.239696i	$0.0770477\pi$
$360$	−1.07390	+	32.1736i	−0.0565994	+	1.69570i
$361$	−1.27677	−	3.08240i	−0.0671986	−	0.162232i
$362$	6.99050	+	2.92080i	0.367412	+	0.153514i
$363$	4.16794	−	9.72862i	0.218760	−	0.510620i
$364$	2.41270	−	0.464490i	0.126460	−	0.0243459i
$365$	24.9861	+	16.6952i	1.30783	+	0.873866i
$366$	−23.6115	−	0.357589i	−1.23419	−	0.0186915i
$367$	2.48572	+	2.48572i	0.129753	+	0.129753i	0.769001	−	0.639248i	$-0.220754\pi$
$367$	2.48572	+	2.48572i	0.129753	+	0.129753i	−0.639248	+	0.769001i	$0.720754\pi$
$368$	11.8796	−	27.7098i	0.619269	−	1.44447i
$369$	−34.6186	+	13.3703i	−1.80217	+	0.696032i
$370$	−17.4925	+	26.0057i	−0.909391	+	1.35197i
$371$	−6.00244	−	4.01070i	−0.311631	−	0.208225i
$372$	3.91499	−	8.98496i	0.202983	−	0.465848i
$373$	−6.85297	−	1.36314i	−0.354833	−	0.0705808i	0.0144551	−	0.999896i	$-0.495399\pi$
$373$	−6.85297	−	1.36314i	−0.354833	−	0.0705808i	−0.369289	+	0.929315i	$0.620399\pi$
$374$	1.55703	+	3.79198i	0.0805121	+	0.196079i
$375$	−5.28962	−	28.3778i	−0.273155	−	1.46542i
$376$	22.8778	−	4.33141i	1.17983	−	0.223376i
$377$	−3.98082	+	9.61054i	−0.205023	+	0.494968i
$378$	5.57680	+	4.05181i	0.286840	+	0.208403i
$379$	8.22255	+	12.3059i	0.422364	+	0.632112i	0.980240	−	0.197812i	$-0.0633836\pi$
$379$	8.22255	+	12.3059i	0.422364	+	0.632112i	−0.557876	+	0.829924i	$0.688384\pi$
$380$	−11.6625	+	27.6726i	−0.598273	+	1.41957i
$381$	30.9570	+	0.373509i	1.58597	+	0.0191355i
$382$	28.6823	+	5.79711i	1.46751	+	0.296606i
$383$	13.1759			0.673255			0.336627	−	0.941638i	$-0.390714\pi$
$383$	13.1759			0.673255			0.336627	+	0.941638i	$0.390714\pi$
$384$	19.3370	−	3.17486i	0.986788	−	0.162016i
$385$	−7.86929			−0.401056
$386$	−1.25993	−	0.254651i	−0.0641289	−	0.0129614i
$387$	−12.7533	−	2.85831i	−0.648289	−	0.145296i
$388$	−3.18867	+	7.56602i	−0.161880	+	0.384106i
$389$	9.26713	+	13.8692i	0.469862	+	0.703198i	0.988403	−	0.151855i	$-0.0485245\pi$
$389$	9.26713	+	13.8692i	0.469862	+	0.703198i	−0.518541	+	0.855053i	$0.673525\pi$
$390$	11.8989	+	2.55475i	0.602526	+	0.129365i
$391$	3.78101	−	9.12816i	0.191214	−	0.461631i
$392$	−3.22008	−	17.0079i	−0.162639	−	0.859031i
$393$	−8.44677	+	1.57447i	−0.426083	+	0.0794217i
$394$	−2.20622	−	5.37301i	−0.111148	−	0.270688i
$395$	4.07995	+	0.811553i	0.205285	+	0.0408337i
$396$	10.8030	+	7.70154i	0.542872	+	0.387017i
$397$	−3.76585	−	2.51626i	−0.189003	−	0.126288i	0.457469	−	0.889226i	$-0.348756\pi$
$397$	−3.76585	−	2.51626i	−0.189003	−	0.126288i	−0.646472	+	0.762938i	$0.723756\pi$
$398$	12.6849	−	18.8583i	0.635836	−	0.945283i
$399$	3.50778	+	5.38940i	0.175609	+	0.269808i
$400$	−34.8864	+	13.9496i	−1.74432	+	0.697480i
$401$	−1.68664	−	1.68664i	−0.0842270	−	0.0842270i	0.663738	−	0.747965i	$-0.268969\pi$
$401$	−1.68664	−	1.68664i	−0.0842270	−	0.0842270i	−0.747965	+	0.663738i	$0.768969\pi$
$402$	−0.136800	+	9.03283i	−0.00682295	+	0.450517i
$403$	−3.08079	−	2.05852i	−0.153465	−	0.102542i
$404$	7.88764	−	1.51852i	0.392425	−	0.0755492i
$405$	17.5779	+	29.2720i	0.873453	+	1.45454i
$406$	−9.72289	−	4.06247i	−0.482539	−	0.201617i
$407$	4.94306	+	11.9336i	0.245018	+	0.591527i
$408$	6.32373	−	1.11841i	0.313071	−	0.0553694i
$409$	6.06658	−	14.6460i	0.299973	−	0.724199i	−0.699977	−	0.714166i	$-0.746806\pi$
$409$	6.06658	−	14.6460i	0.299973	−	0.724199i	0.999950	−	0.0100331i	$-0.00319368\pi$
$410$	−46.7857	−	47.0747i	−2.31058	−	2.32485i
$411$	24.2437	−	9.70107i	1.19585	−	0.478518i
$412$	7.42187	+	7.51384i	0.365649	+	0.370180i
$413$	−2.23594	−	11.2408i	−0.110024	−	0.553126i
$414$	−5.38301	−	31.5215i	−0.264560	−	1.54920i
$415$	−5.60116			−0.274950
$416$	0.114035	−	7.40742i	0.00559104	−	0.363179i
$417$	−11.0694	−	2.34101i	−0.542070	−	0.114640i
$418$	6.84417	+	10.3116i	0.334759	+	0.504357i
$419$	−20.4869	+	4.07509i	−1.00085	+	0.199081i	−0.668210	−	0.743973i	$-0.732939\pi$
$419$	−20.4869	+	4.07509i	−1.00085	+	0.199081i	−0.332639	+	0.943054i	$0.607939\pi$
$420$	−2.62502	+	12.0454i	−0.128088	+	0.587757i
$421$	−5.62814	−	8.42311i	−0.274299	−	0.410517i	0.668587	−	0.743634i	$-0.266900\pi$
$421$	−5.62814	−	8.42311i	−0.274299	−	0.410517i	−0.942886	+	0.333117i	$0.891900\pi$
$422$	−12.0270	−	12.1013i	−0.585464	−	0.589080i
$423$	17.8794	−	17.0368i	0.869328	−	0.828355i
$424$	−15.5329	+	15.2486i	−0.754347	+	0.740539i
$425$	−11.3756	+	4.71193i	−0.551798	+	0.228562i
$426$	8.53844	−	12.3690i	0.413689	−	0.599281i
$427$	−8.86957	−	1.76427i	−0.429229	−	0.0853789i
$428$	−6.11975	+	9.03788i	−0.295809	+	0.436862i
$429$	3.58917	−	3.50360i	0.173287	−	0.169155i
$430$	−4.48947	−	22.9389i	−0.216501	−	1.10621i
$431$	9.80168	−	9.80168i	0.472130	−	0.472130i	−0.430473	−	0.902603i	$-0.641653\pi$
$431$	9.80168	−	9.80168i	0.472130	−	0.472130i	0.902603	+	0.430473i	$0.141653\pi$
$432$	15.3923	−	13.9670i	0.740563	−	0.671987i
$433$	27.5003	+	27.5003i	1.32158	+	1.32158i	0.912496	+	0.409086i	$0.134152\pi$
$433$	27.5003	+	27.5003i	1.32158	+	1.32158i	0.409086	+	0.912496i	$0.365848\pi$
$434$	2.09485	−	3.11437i	0.100556	−	0.149494i
$435$	−36.4592	−	37.3497i	−1.74808	−	1.79078i
$436$	−11.0621	+	7.29333i	−0.529778	+	0.349287i
$437$	5.81961	−	29.2572i	0.278390	−	1.39956i
$438$	−3.49660	−	19.0846i	−0.167074	−	0.911897i
$439$	2.83565	+	6.84588i	0.135338	+	0.326736i	0.976990	−	0.213285i	$-0.0684163\pi$
$439$	2.83565	+	6.84588i	0.135338	+	0.326736i	−0.841652	+	0.540021i	$0.818416\pi$
$440$	−4.84371	+	23.2277i	−0.230915	+	1.10734i
$441$	−12.6655	−	13.2920i	−0.603121	−	0.632953i
$442$	0.00747448	−	2.42779i	0.000355525	−	0.115478i
$443$	−18.3304	+	12.2480i	−0.870903	+	0.581919i	−0.908739	−	0.417365i	$-0.862954\pi$
$443$	−18.3304	+	12.2480i	−0.870903	+	0.581919i	0.0378360	+	0.999284i	$0.487954\pi$
$444$	19.9155	−	3.58550i	0.945149	−	0.170160i
$445$	−6.18391	−	31.0886i	−0.293145	−	1.47374i
$446$	4.49308	+	0.908119i	0.212754	+	0.0430007i
$447$	−2.02294	+	9.56539i	−0.0956818	+	0.452427i
$448$	7.50322	+	0.138617i	0.354494	+	0.00654903i
$449$		−	28.4250i		−	1.34146i	−0.741702	−	0.670730i	$-0.765981\pi$
$449$		−	28.4250i		−	1.34146i	0.741702	−	0.670730i	$-0.234019\pi$
$450$	−23.0333	+	32.5204i	−1.08580	+	1.53302i
$451$	−26.8276	+	5.33634i	−1.26326	+	0.251278i
$452$	−7.37018	+	2.99979i	−0.346664	+	0.141098i
$453$	−9.16080	−	22.8935i	−0.430412	−	1.07563i
$454$	−6.50317	−	0.0200214i	−0.305209	−	0.000939650i
$455$	4.30592	+	1.78357i	0.201865	+	0.0836151i
$456$	18.0669	−	7.03657i	0.846061	−	0.329518i
$457$	20.5775	−	8.52349i	0.962576	−	0.398712i	0.154633	−	0.987972i	$-0.450581\pi$
$457$	20.5775	−	8.52349i	0.962576	−	0.398712i	0.807944	+	0.589260i	$0.200581\pi$
$458$	9.21014	+	22.4303i	0.430362	+	1.04810i
$459$	4.98754	−	4.63896i	0.232798	−	0.216528i
$460$	47.7462	−	31.4795i	2.22618	−	1.46774i
$461$	0.164498	−	0.246189i	0.00766144	−	0.0114661i	−0.827619	−	0.561290i	$-0.810305\pi$
$461$	0.164498	−	0.246189i	0.00766144	−	0.0114661i	0.835281	+	0.549824i	$0.185305\pi$
$462$	3.53788	+	3.64669i	0.164597	+	0.169659i
$463$	−2.56076	+	2.56076i	−0.119009	+	0.119009i	−0.764103	−	0.645094i	$-0.776818\pi$
$463$	−2.56076	+	2.56076i	−0.119009	+	0.119009i	0.645094	+	0.764103i	$0.276818\pi$
$464$	−17.9757	+	26.1984i	−0.834503	+	1.21623i
$465$	15.5816	−	10.1415i	0.722578	−	0.470301i
$466$	16.3074	−	3.19158i	0.755424	−	0.147847i
$467$	4.89649	−	7.32811i	0.226582	−	0.339104i	−0.700707	−	0.713449i	$-0.747132\pi$
$467$	4.89649	−	7.32811i	0.226582	−	0.339104i	0.927290	+	0.374344i	$0.122132\pi$
$468$	−4.16565	−	6.66263i	−0.192557	−	0.307980i
$469$	−0.674941	+	3.39316i	−0.0311659	+	0.156681i
$470$	40.7537	+	17.0279i	1.87983	+	0.785438i
$471$	−3.73440	−	20.0344i	−0.172072	−	0.923137i
$472$	−34.5557	−	0.319169i	−1.59056	−	0.0146910i
$473$	−8.89998	−	3.68649i	−0.409221	−	0.169505i
$474$	−1.45819	−	2.25554i	−0.0669768	−	0.103600i
$475$	−30.9098	+	20.6533i	−1.41824	+	0.947637i
$476$	2.45929	+	0.0151430i	0.112721	+	0.000694079i
$477$	−5.04910	+	22.5283i	−0.231183	+	1.03150i
$478$	8.13961	−	5.40254i	0.372297	−	0.247106i
$479$		−	22.7150i		−	1.03788i	−0.854812	−	0.518938i	$-0.826328\pi$
$479$		−	22.7150i		−	1.03788i	0.854812	−	0.518938i	$-0.173672\pi$
$480$	33.9386	+	15.1624i	1.54908	+	0.692068i
$481$		−	7.65017i		−	0.348818i
$482$	6.99753	+	10.5427i	0.318729	+	0.480205i
$483$	0.147746	−	12.2454i	0.00672268	−	0.557185i
$484$	−8.58830	−	8.69472i	−0.390377	−	0.395214i
$485$	−12.9497	+	8.65274i	−0.588018	+	0.392901i
$486$	5.66217	−	21.3059i	0.256841	−	0.966454i
$487$	−22.4772	−	9.31038i	−1.01854	−	0.421894i	−0.189978	−	0.981788i	$-0.560842\pi$
$487$	−22.4772	−	9.31038i	−1.01854	−	0.421894i	−0.828564	+	0.559895i	$0.810842\pi$
$488$	−10.6670	+	25.0942i	−0.482871	+	1.13596i
$489$	−6.25530	+	1.16598i	−0.282874	+	0.0527277i
$490$	12.6590	−	30.2973i	0.571874	−	1.36869i
$491$	−4.44173	+	22.3301i	−0.200453	+	1.00774i	0.741233	+	0.671248i	$0.234241\pi$
$491$	−4.44173	+	22.3301i	−0.200453	+	1.00774i	−0.941685	+	0.336495i	$0.890759\pi$
$492$	−0.780815	+	42.8448i	−0.0352019	+	1.93159i
$493$	−5.78474	+	8.65748i	−0.260532	+	0.389913i
$494$	−1.40787	−	7.19353i	−0.0633432	−	0.323652i
$495$	9.06707	+	23.4765i	0.407534	+	1.05519i
$496$	−7.90321	−	8.10030i	−0.354864	−	0.363714i
$497$	4.07002	−	4.07002i	0.182566	−	0.182566i
$498$	2.51817	+	2.59562i	0.112842	+	0.116313i
$499$	−14.7005	+	22.0008i	−0.658083	+	0.984891i	0.340913	+	0.940095i	$0.389264\pi$
$499$	−14.7005	+	22.0008i	−0.658083	+	0.984891i	−0.998996	+	0.0447958i	$0.985736\pi$
$500$	−32.6512	−	6.70398i	−1.46020	−	0.299811i
$501$	33.4628	+	14.3362i	1.49501	+	0.640492i
$502$	14.4638	−	5.93899i	0.645550	−	0.265070i
$503$	4.99279	−	2.06808i	0.222618	−	0.0922112i	−0.268587	−	0.963255i	$-0.586557\pi$
$503$	4.99279	−	2.06808i	0.222618	−	0.0922112i	0.491205	+	0.871044i	$0.336557\pi$
$504$	6.76211	−	4.19894i	0.301208	−	0.187036i
$505$	14.0770	+	5.83089i	0.626419	+	0.259471i
$506$	0.0725643	−	23.5697i	0.00322587	−	1.04780i
$507$	18.1471	−	7.26154i	0.805942	−	0.322496i
$508$	13.8835	−	32.9426i	0.615981	−	1.46159i
$509$	23.4574	−	4.66596i	1.03973	−	0.206815i	0.354435	−	0.935081i	$-0.384673\pi$
$509$	23.4574	−	4.66596i	1.03973	−	0.206815i	0.685295	+	0.728265i	$0.259673\pi$
$510$	11.1825	+	4.83161i	0.495170	+	0.213947i
$511$		−	7.43034i		−	0.328699i
$512$	5.02754	−	22.0618i	0.222188	−	0.975004i
$513$	12.0366	−	16.6745i	0.531427	−	0.736197i
$514$	5.26239	−	26.0366i	0.232114	−	1.14843i
$515$	3.90841	+	19.6489i	0.172225	+	0.865834i
$516$	−8.61170	+	12.3934i	−0.379109	+	0.545587i
$517$	15.1353	−	10.1131i	0.665651	−	0.444774i
$518$	7.74948	+	0.0238584i	0.340493	+	0.00104828i
$519$	2.05881	−	3.00218i	0.0903719	−	0.131781i
$520$	7.91492	−	11.6119i	0.347092	−	0.509215i
$521$	14.9937	+	36.1981i	0.656887	+	1.58587i	0.802586	+	0.596537i	$0.203457\pi$
$521$	14.9937	+	36.1981i	0.656887	+	1.58587i	−0.145699	+	0.989329i	$0.546543\pi$
$522$	−0.916801	+	33.6872i	−0.0401273	+	1.47445i
$523$	−7.07553	+	35.5711i	−0.309391	+	1.55542i	0.442891	+	0.896575i	$0.353953\pi$
$523$	−7.07553	+	35.5711i	−0.309391	+	1.55542i	−0.752283	+	0.658840i	$0.771047\pi$
$524$	−1.99546	+	9.71874i	−0.0871723	+	0.424565i
$525$	−10.9209	+	10.6605i	−0.476627	+	0.465262i
$526$	27.7037	+	18.6347i	1.20794	+	0.812510i
$527$	−2.62249	−	2.62249i	−0.114237	−	0.114237i
$528$	12.9415	−	8.19811i	0.563208	−	0.356777i
$529$	−23.9072	+	23.9072i	−1.03945	+	1.03945i
$530$	−40.5208	+	7.93047i	−1.76011	+	0.344478i
$531$	−30.9587	+	19.6223i	−1.34349	+	0.851536i
$532$	7.29131	−	1.40372i	0.316118	−	0.0608588i
$533$	15.8890	+	3.16052i	0.688229	+	0.136897i
$534$	−11.6265	+	16.8425i	−0.503130	+	0.728847i
$535$	−19.1284	+	7.92326i	−0.826995	+	0.342552i
$536$	9.60009	+	4.08077i	0.414661	+	0.176262i
$537$	−19.7262	+	28.7649i	−0.851247	+	1.24130i
$538$	−9.44253	+	9.38457i	−0.407096	+	0.404597i
$539$	−7.51833	−	11.2520i	−0.323838	−	0.484657i
$540$	38.9598	−	6.04760i	1.67656	−	0.260247i
$541$	−36.0524	+	7.17126i	−1.55001	+	0.308317i	−0.894570	−	0.446929i	$-0.852518\pi$
$541$	−36.0524	+	7.17126i	−1.55001	+	0.308317i	−0.655442	+	0.755245i	$0.727518\pi$
$542$	2.65050	−	1.75923i	0.113849	−	0.0755652i
$543$	1.91988	−	9.07806i	0.0823898	−	0.389577i
$544$	1.55844	−	7.24972i	0.0668175	−	0.310829i
$545$	−25.1340			−1.07662
$546$	−1.10934	−	2.79726i	−0.0474753	−	0.119712i
$547$	−3.25205	−	16.3492i	−0.139048	−	0.699040i	−0.985917	−	0.167238i	$-0.946515\pi$
$547$	−3.25205	−	16.3492i	−0.139048	−	0.699040i	0.846869	−	0.531802i	$-0.178485\pi$
$548$	0.185658	−	30.1516i	0.00793092	−	1.28801i
$549$	4.95624	+	28.4935i	0.211527	+	1.21607i
$550$	−20.8336	+	20.7058i	−0.888349	+	0.882896i
$551$	−12.0303	+	29.0436i	−0.512506	+	1.23730i
$552$	−36.0536	−	7.97339i	−1.53454	−	0.339370i
$553$	−0.393620	−	0.950283i	−0.0167384	−	0.0404101i
$554$	4.02452	−	9.63207i	0.170986	−	0.409228i
$555$	35.2835	+	15.1162i	1.49770	+	0.641645i
$556$	−7.32501	+	10.8179i	−0.310650	+	0.458780i
$557$	−5.22377	−	3.49041i	−0.221338	−	0.147894i	0.439958	−	0.898018i	$-0.354993\pi$
$557$	−5.22377	−	3.49041i	−0.221338	−	0.147894i	−0.661296	+	0.750125i	$0.729993\pi$
$558$	−11.7048	−	2.66119i	−0.495505	−	0.112657i
$559$	4.03435	+	4.03435i	0.170635	+	0.170635i
$560$	11.7379	+	8.05388i	0.496019	+	0.340338i
$561$	4.20772	−	2.73866i	0.177650	−	0.115626i
$562$	7.88946	+	5.30678i	0.332797	+	0.223853i
$563$	0.577428	+	0.385825i	0.0243357	+	0.0162606i	0.567679	−	0.823250i	$-0.307842\pi$
$563$	0.577428	+	0.385825i	0.0243357	+	0.0162606i	−0.543343	+	0.839511i	$0.682842\pi$
$564$	−10.4312	−	26.5410i	−0.439233	−	1.11758i
$565$	−14.8042	−	2.94473i	−0.622816	−	0.123886i
$566$	17.8441	−	7.32701i	0.750046	−	0.307977i
$567$	3.60334	−	7.63497i	0.151326	−	0.320639i
$568$	−9.50825	−	14.5186i	−0.398957	−	0.609187i
$569$	−9.33846	+	22.5450i	−0.391489	+	0.945137i	0.598127	+	0.801401i	$0.295912\pi$
$569$	−9.33846	+	22.5450i	−0.391489	+	0.945137i	−0.989616	+	0.143736i	$0.954088\pi$
$570$	35.9593	+	7.72060i	1.50617	+	0.323380i
$571$	16.2922	+	24.3829i	0.681806	+	1.02039i	0.997440	+	0.0715132i	$0.0227828\pi$
$571$	16.2922	+	24.3829i	0.681806	+	1.02039i	−0.315634	+	0.948881i	$0.602217\pi$
$572$	−2.18338	−	5.36433i	−0.0912916	−	0.224294i
$573$	0.432379	−	35.8362i	0.0180629	−	1.49708i
$574$	−3.25110	+	16.0854i	−0.135698	+	0.671392i
$575$	70.7972			2.95245
$576$	−8.23174	−	22.5441i	−0.342989	−	0.939339i
$577$	−11.6698			−0.485819			−0.242909	−	0.970049i	$-0.578102\pi$
$577$	−11.6698			−0.485819			−0.242909	+	0.970049i	$0.578102\pi$
$578$	−4.28143	+	21.1832i	−0.178084	+	0.881104i
$579$	−0.0189932	+	1.57418i	−0.000789331	+	0.0654208i
$580$	−55.8223	+	22.7207i	−2.31790	+	0.943426i
$581$	0.769437	+	1.15154i	0.0319216	+	0.0477741i
$582$	9.83171	+	2.11091i	0.407537	+	0.0874998i
$583$	−6.51205	+	15.7215i	−0.269702	+	0.651117i
$584$	−21.9320	−	4.57353i	−0.907553	−	0.189254i
$585$	0.359625	−	14.9009i	0.0148687	−	0.616078i
$586$	10.6432	−	4.37021i	0.439666	−	0.180532i
$587$	14.3502	+	2.85442i	0.592294	+	0.117815i	0.482131	−	0.876099i	$-0.339863\pi$
$587$	14.3502	+	2.85442i	0.592294	+	0.117815i	0.110163	+	0.993914i	$0.464863\pi$
$588$	−19.7312	+	7.75482i	−0.813702	+	0.319803i
$589$	−9.31034	−	6.22097i	−0.383626	−	0.256331i
$590$	−54.3918	−	36.5862i	−2.23928	−	1.50623i
$591$	−5.96209	+	3.88052i	−0.245247	+	0.159623i
$592$	4.84038	−	22.8593i	0.198939	−	0.939513i
$593$	32.4100	+	32.4100i	1.33092	+	1.33092i	0.904547	+	0.426374i	$0.140209\pi$
$593$	32.4100	+	32.4100i	1.33092	+	1.33092i	0.426374	+	0.904547i	$0.359791\pi$
$594$	6.80283	−	14.7564i	0.279124	−	0.605461i
$595$	3.87891	+	2.59180i	0.159020	+	0.106254i
$596$	9.34805	+	6.32977i	0.382911	+	0.259277i
$597$	−25.5863	−	10.9617i	−1.04718	−	0.448631i
$598$	−5.38176	+	12.8804i	−0.220076	+	0.526719i
$599$	8.70697	+	21.0205i	0.355757	+	0.858873i	0.995887	+	0.0906066i	$0.0288806\pi$
$599$	8.70697	+	21.0205i	0.355757	+	0.858873i	−0.640130	+	0.768267i	$0.721119\pi$
$600$	24.7444	+	38.7968i	1.01019	+	1.58387i
$601$	9.15983	−	22.1138i	0.373637	−	0.902040i	−0.619491	−	0.785004i	$-0.712661\pi$
$601$	9.15983	−	22.1138i	0.373637	−	0.902040i	0.993128	−	0.117036i	$-0.0373392\pi$
$602$	−4.09930	+	4.07414i	−0.167075	+	0.166049i
$603$	10.9005	−	1.89607i	0.443903	−	0.0772138i
$604$	−28.4724	−	0.175318i	−1.15853	−	0.00713361i
$605$	−4.52266	−	22.7369i	−0.183872	−	0.924388i
$606$	−3.62667	−	9.14485i	−0.147324	−	0.371484i
$607$	9.56852			0.388374			0.194187	−	0.980964i	$-0.437793\pi$
$607$	9.56852			0.388374			0.194187	+	0.980964i	$0.437793\pi$
$608$	0.344621	−	22.3857i	0.0139762	−	0.907858i
$609$	−2.67030	+	12.6264i	−0.108206	+	0.511649i
$610$	−43.0947	+	28.6035i	−1.74485	+	1.15812i
$611$	−10.5739	+	2.10327i	−0.427773	+	0.0850894i
$612$	−2.78844	−	7.35426i	−0.112716	−	0.297278i
$613$	19.2571	+	28.8202i	0.777786	+	1.16404i	0.982690	+	0.185257i	$0.0593117\pi$
$613$	19.2571	+	28.8202i	0.777786	+	1.16404i	−0.204904	+	0.978782i	$0.565688\pi$
$614$	−18.1364	+	18.0251i	−0.731927	+	0.727434i
$615$	−45.9722	+	67.0370i	−1.85378	+	2.70319i
$616$	5.44077	−	2.19499i	0.219215	−	0.0884387i
$617$	23.7418	−	9.83418i	0.955809	−	0.395909i	0.150398	−	0.988626i	$-0.451944\pi$
$617$	23.7418	−	9.83418i	0.955809	−	0.395909i	0.805411	+	0.592716i	$0.201944\pi$
$618$	7.34831	−	10.6450i	0.295592	−	0.428203i
$619$	−18.7022	−	3.72009i	−0.751704	−	0.149523i	−0.195655	−	0.980673i	$-0.562683\pi$
$619$	−18.7022	−	3.72009i	−0.751704	−	0.149523i	−0.556049	+	0.831150i	$0.687683\pi$
$620$	−4.05835	−	21.0802i	−0.162987	−	0.846603i
$621$	−36.7021	+	13.6685i	−1.47280	+	0.548497i
$622$	36.5963	−	7.16239i	1.46738	−	0.287186i
$623$	−5.54203	+	5.54203i	−0.222037	+	0.222037i
$624$	−8.93944	+	1.55265i	−0.357864	+	0.0621558i
$625$	−11.4999	−	11.4999i	−0.459994	−	0.459994i
$626$	27.4321	+	18.4519i	1.09641	+	0.737487i
$627$	10.8467	−	10.5881i	0.433175	−	0.422847i
$628$	−23.0513	−	4.73293i	−0.919848	−	0.188864i
$629$	1.49389	−	7.51030i	0.0595654	−	0.299455i
$630$	15.0932	+	0.410765i	0.601329	+	0.0163653i
$631$	3.14899	+	7.60233i	0.125359	+	0.302644i	0.974082	−	0.226194i	$-0.0726282\pi$
$631$	3.14899	+	7.60233i	0.125359	+	0.302644i	−0.848723	+	0.528837i	$0.822628\pi$
$632$	−3.04722	+	0.576924i	−0.121212	+	0.0229488i
$633$	−11.8178	+	17.2329i	−0.469716	+	0.684945i
$634$	25.0071	+	0.0769898i	0.993160	+	0.00305765i
$635$	56.3834	−	37.6742i	2.23751	−	1.49505i
$636$	21.8924	+	15.2123i	0.868090	+	0.603205i
$637$	1.56363	+	7.86088i	0.0619532	+	0.311460i
$638$	−4.92081	+	24.3466i	−0.194817	+	0.963892i
$639$	−16.8317	−	7.45263i	−0.665850	−	0.294821i
$640$	30.9975	−	29.6894i	1.22528	−	1.17358i
$641$		−	16.1094i		−	0.636281i	−0.948044	−	0.318141i	$-0.896942\pi$
$641$		−	16.1094i		−	0.636281i	0.948044	−	0.318141i	$-0.103058\pi$
$642$	12.2715	+	5.30212i	0.484317	+	0.209258i
$643$	36.6283	−	7.28581i	1.44448	−	0.287324i	0.590249	−	0.807221i	$-0.299030\pi$
$643$	36.6283	−	7.28581i	1.44448	−	0.287324i	0.854229	+	0.519897i	$0.174030\pi$
$644$	−13.0308	−	5.49179i	−0.513487	−	0.216407i
$645$	−26.5785	+	10.6353i	−1.04653	+	0.418766i
$646$	0.0225883	−	7.33694i	0.000888726	−	0.288668i
$647$	−11.6609	−	4.83009i	−0.458436	−	0.189891i	0.141500	−	0.989938i	$-0.454807\pi$
$647$	−11.6609	−	4.83009i	−0.458436	−	0.189891i	−0.599936	+	0.800048i	$0.704807\pi$
$648$	−20.3181	−	15.3354i	−0.798170	−	0.602432i
$649$	−24.9596	+	10.3386i	−0.979749	+	0.405825i
$650$	16.0927	−	6.60784i	0.631207	−	0.259181i
$651$	−4.22545	−	1.81027i	−0.165609	−	0.0709500i
$652$	−1.47775	+	7.19726i	−0.0578732	+	0.281867i
$653$	1.39930	−	2.09420i	0.0547588	−	0.0819523i	−0.803080	−	0.595871i	$-0.796807\pi$
$653$	1.39930	−	2.09420i	0.0547588	−	0.0819523i	0.857839	+	0.513919i	$0.171807\pi$
$654$	11.2998	+	11.6473i	0.441856	+	0.455445i
$655$	−13.3078	+	13.3078i	−0.519980	+	0.519980i
$656$	45.4779	+	19.4971i	1.77561	+	0.761234i
$657$	−22.1670	+	8.56130i	−0.864817	+	0.334008i
$658$	−2.09760	−	10.7177i	−0.0817730	−	0.417819i
$659$	21.9467	−	32.8456i	0.854923	−	1.27948i	−0.103643	−	0.994615i	$-0.533050\pi$
$659$	21.9467	−	32.8456i	0.854923	−	1.27948i	0.958566	−	0.284869i	$-0.0919501\pi$
$660$	29.0551	+	0.529508i	1.13097	+	0.0206111i
$661$	3.88836	−	19.5481i	0.151240	−	0.760333i	−0.828489	−	0.560005i	$-0.810799\pi$
$661$	3.88836	−	19.5481i	0.151240	−	0.760333i	0.979729	−	0.200328i	$-0.0642008\pi$
$662$	−14.9699	+	35.8282i	−0.581823	+	1.39250i
$663$	−2.92310	+	0.544864i	−0.113524	+	0.0211608i
$664$	3.87260	−	1.56234i	0.150286	−	0.0606305i
$665$	13.0127	+	5.39005i	0.504612	+	0.209017i
$666$	−8.85784	−	23.1466i	−0.343234	−	0.896912i
$667$	49.7792	−	33.2614i	1.92746	−	1.28789i
$668$	29.9066	−	29.5406i	1.15712	−	1.14296i
$669$	0.0677323	−	5.61375i	0.00261868	−	0.217040i
$670$	10.9426	+	16.4864i	0.422749	+	0.636925i
$671$			21.3170i			0.822932i
$672$	−1.54493	−	9.06033i	−0.0595968	−	0.349510i
$673$			29.8480i			1.15056i	0.817958	+	0.575278i	$0.195106\pi$
$673$			29.8480i			1.15056i	−0.817958	+	0.575278i	$0.804894\pi$
$674$	−37.3972	+	24.8218i	−1.44049	+	0.956101i
$675$	44.3867	+	20.2973i	1.70845	+	0.781243i
$676$	0.138971	−	22.5694i	0.00534503	−	0.868054i
$677$	−25.7582	+	17.2111i	−0.989967	+	0.661475i	−0.941381	−	0.337344i	$-0.890471\pi$
$677$	−25.7582	+	17.2111i	−0.989967	+	0.661475i	−0.0485860	+	0.998819i	$0.515471\pi$
$678$	5.29106	+	8.18426i	0.203202	+	0.314315i
$679$	3.55784	+	1.47371i	0.136537	+	0.0565556i
$680$	10.0377	−	9.85400i	0.384929	−	0.377884i
$681$	1.45949	+	7.82990i	0.0559278	+	0.300042i
$682$	−8.16349	−	3.41091i	−0.312596	−	0.130610i
$683$	−6.01315	+	30.2301i	−0.230087	+	1.15672i	0.677066	+	0.735923i	$0.263251\pi$
$683$	−6.01315	+	30.2301i	−0.230087	+	1.15672i	−0.907153	+	0.420802i	$0.861749\pi$
$684$	−12.5888	−	20.1349i	−0.481346	−	0.769875i
$685$	31.7763	−	47.5566i	1.21411	−	1.81704i
$686$	−17.0813	+	3.34304i	−0.652165	+	0.127638i
$687$	24.8895	−	16.1997i	0.949594	−	0.618059i
$688$	9.50237	+	14.6076i	0.362274	+	0.556908i
$689$	7.12653	−	7.12653i	0.271499	−	0.271499i
$690$	−48.7720	−	50.2720i	−1.85672	−	1.91382i
$691$	−5.05441	+	7.56446i	−0.192279	+	0.287766i	−0.915065	−	0.403306i	$-0.867861\pi$
$691$	−5.05441	+	7.56446i	−0.192279	+	0.287766i	0.722786	+	0.691072i	$0.242861\pi$
$692$	−2.31375	−	3.50936i	−0.0879557	−	0.133406i
$693$	3.58100	−	5.08910i	0.136031	−	0.193319i
$694$	3.66260	+	8.91988i	0.139030	+	0.338594i
$695$	−22.8957	+	9.48372i	−0.868485	+	0.359738i
$696$	35.6256	+	15.6537i	1.35038	+	0.593353i
$697$	14.9813	+	6.20547i	0.567458	+	0.235049i
$698$	−29.5012	−	0.0908257i	−1.11664	−	0.00343780i
$699$	−7.56069	−	18.8947i	−0.285972	−	0.714664i
$700$	6.64343	+	16.3222i	0.251098	+	0.616921i
$701$	13.6468	−	2.71452i	0.515433	−	0.102526i	0.0694819	−	0.997583i	$-0.477865\pi$
$701$	13.6468	−	2.71452i	0.515433	−	0.102526i	0.445951	+	0.895057i	$0.352865\pi$
$702$	−7.06689	+	6.53252i	−0.266723	+	0.246554i
$703$		−	23.1193i		−	0.871959i
$704$	−3.13002	−	17.4105i	−0.117967	−	0.656183i
$705$	11.1926	−	52.9239i	0.421539	−	1.99323i
$706$	0.353037	+	0.0713540i	0.0132867	+	0.00268544i
$707$	−0.735000	−	3.69509i	−0.0276425	−	0.138968i
$708$	7.49921	+	41.6541i	0.281837	+	1.56546i
$709$	15.7137	−	10.4996i	0.590141	−	0.394319i	−0.224339	−	0.974511i	$-0.572022\pi$
$709$	15.7137	−	10.4996i	0.590141	−	0.394319i	0.814480	+	0.580192i	$0.197022\pi$
$710$	0.101353	−	32.9207i	0.00380372	−	1.23549i
$711$	−2.38146	+	2.26921i	−0.0893115	+	0.0851022i
$712$	12.9471	+	19.7696i	0.485213	+	0.740895i
$713$	8.16065	+	19.7016i	0.305619	+	0.737829i
$714$	−0.542821	−	2.96274i	−0.0203146	−	0.110878i
$715$	2.14330	−	10.7751i	0.0801549	−	0.402966i
$716$	22.1688	+	33.6243i	0.828488	+	1.25660i
$717$	−8.35784	−	8.56199i	−0.312129	−	0.319753i
$718$	−4.48891	+	6.67356i	−0.167525	+	0.249055i
$719$	−18.6667	−	18.6667i	−0.696152	−	0.696152i	0.267426	−	0.963578i	$-0.413827\pi$
$719$	−18.6667	−	18.6667i	−0.696152	−	0.696152i	−0.963578	+	0.267426i	$0.913827\pi$
$720$	10.5026	−	44.2977i	0.391411	−	1.65088i
$721$	3.50272	−	3.50272i	0.130448	−	0.130448i
$722$	0.906251	+	4.63049i	0.0337272	+	0.172329i
$723$	11.0897	−	10.8253i	0.412431	−	0.402598i
$724$	−8.87179	−	6.00729i	−0.329718	−	0.223259i
$725$	−73.1757	−	14.5555i	−2.71768	−	0.540580i
$726$	−8.50317	+	12.3179i	−0.315582	+	0.457161i
$727$	−27.8224	+	11.5244i	−1.03188	+	0.427418i	−0.833390	−	0.552686i	$-0.813603\pi$
$727$	−27.8224	+	11.5244i	−1.03188	+	0.427418i	−0.198488	+	0.980103i	$0.563603\pi$
$728$	−3.47457	−	0.0320925i	−0.128776	−	0.00118943i
$729$	−26.9293	−	1.95280i	−0.997381	−	0.0723259i
$730$	−29.9579	−	30.1429i	−1.10879	−	1.11564i
$731$	3.17278	+	4.74840i	0.117349	+	0.175626i
$732$	32.6296	+	7.11087i	1.20603	+	0.262825i
$733$	33.8614	−	6.73544i	1.25070	−	0.248779i	0.475058	−	0.879955i	$-0.342427\pi$
$733$	33.8614	−	6.73544i	1.25070	−	0.248779i	0.775640	+	0.631175i	$0.217427\pi$
$734$	−2.74924	−	4.14208i	−0.101476	−	0.152887i
$735$	−39.3450	−	8.32088i	−1.45126	−	0.306920i
$736$	−24.2308	+	35.0826i	−0.893158	+	1.29316i
$737$	8.15505			0.300395
$738$	51.7337	−	8.83470i	1.90434	−	0.325210i
$739$	−4.72188	−	23.7385i	−0.173697	−	0.873234i	−0.965088	−	0.261924i	$-0.915643\pi$
$739$	−4.72188	−	23.7385i	−0.173697	−	0.873234i	0.791391	−	0.611310i	$-0.209357\pi$
$740$	31.5338	−	31.1478i	1.15920	−	1.14502i
$741$	−8.33487	+	3.33519i	−0.306189	+	0.122521i
$742$	7.19681	+	7.24126i	0.264203	+	0.265835i
$743$	11.1475	−	26.9124i	0.408961	−	0.987320i	−0.576450	−	0.817132i	$-0.695563\pi$
$743$	11.1475	−	26.9124i	0.408961	−	0.987320i	0.985412	−	0.170188i	$-0.0544374\pi$
$744$	−7.94419	+	11.3579i	−0.291248	+	0.416403i
$745$	8.19518	+	19.7849i	0.300248	+	0.724863i
$746$	9.11757	+	3.80955i	0.333818	+	0.139478i
$747$	2.54886	−	3.62229i	0.0932580	−	0.132533i
$748$	−1.09594	−	5.69261i	−0.0400714	−	0.208142i
$749$	4.25664	+	2.84420i	0.155534	+	0.103925i
$750$	−0.618190	+	40.8189i	−0.0225731	+	1.49049i
$751$	−20.6935	−	20.6935i	−0.755116	−	0.755116i	0.220313	−	0.975429i	$-0.429292\pi$
$751$	−20.6935	−	20.6935i	−0.755116	−	0.755116i	−0.975429	+	0.220313i	$0.929292\pi$
$752$	−32.9264	−	0.405503i	−1.20070	−	0.0147872i
$753$	−10.4461	−	16.0495i	−0.380677	−	0.584877i
$754$	8.21071	−	12.2067i	0.299017	−	0.444541i
$755$	−44.9081	−	30.0066i	−1.63437	−	1.09205i
$756$	−6.59528	−	7.17900i	−0.239868	−	0.261098i
$757$	−18.4908	−	3.67805i	−0.672059	−	0.133681i	−0.152747	−	0.988265i	$-0.548812\pi$
$757$	−18.4908	−	3.67805i	−0.672059	−	0.133681i	−0.519312	+	0.854584i	$0.673812\pi$
$758$	−7.95023	−	19.3620i	−0.288766	−	0.703258i
$759$	−28.3782	+	5.28968i	−1.03006	+	0.192003i
$760$	23.9193	−	35.0918i	0.867646	−	1.27291i
$761$	0.406675	−	0.981801i	0.0147420	−	0.0355903i	−0.916337	−	0.400408i	$-0.868869\pi$
$761$	0.406675	−	0.981801i	0.0147420	−	0.0355903i	0.931079	+	0.364817i	$0.118869\pi$
$762$	−42.8074	−	9.19092i	−1.55075	−	0.332952i
$763$	3.45268	+	5.16731i	0.124996	+	0.187069i
$764$	−38.1347	−	16.0717i	−1.37967	−	0.581455i
$765$	3.26284	−	14.5583i	0.117968	−	0.526356i
$766$	−18.2642	−	3.69146i	−0.659911	−	0.133378i
$767$	16.0006			0.577749
$768$	−27.6942	−	1.01668i	−0.999327	−	0.0366862i
$769$	−17.5515			−0.632925			−0.316462	−	0.948605i	$-0.602495\pi$
$769$	−17.5515			−0.632925			−0.316462	+	0.948605i	$0.602495\pi$
$770$	10.9083	+	2.20473i	0.393107	+	0.0794529i
$771$	−32.5307	−	0.392497i	−1.17156	−	0.0141354i
$772$	1.67515	+	0.705986i	0.0602901	+	0.0254090i
$773$	−1.48841	−	2.22757i	−0.0535346	−	0.0801201i	0.803737	−	0.594985i	$-0.202842\pi$
$773$	−1.48841	−	2.22757i	−0.0535346	−	0.0801201i	−0.857271	+	0.514865i	$0.827842\pi$
$774$	16.8777	+	7.53523i	0.606655	+	0.270848i
$775$	10.1699	−	24.5523i	0.365313	−	0.881944i
$776$	6.53984	−	9.59453i	0.234767	−	0.344424i
$777$	−1.73920	−	9.33047i	−0.0623933	−	0.334729i
$778$	−8.96022	−	21.8217i	−0.321240	−	0.782345i
$779$	48.0175	+	9.55127i	1.72041	+	0.342210i
$780$	−15.7784	−	6.87506i	−0.564956	−	0.246167i
$781$	−11.2812	−	7.53785i	−0.403673	−	0.269726i
$782$	−7.79859	+	11.5940i	−0.278877	+	0.414600i
$783$	40.7453	−	6.58193i	1.45612	−	0.235219i
$784$	−0.301461	+	24.4783i	−0.0107665	+	0.874225i
$785$	−31.5641	−	31.5641i	−1.12657	−	1.12657i
$786$	12.1499	+	0.184007i	0.433372	+	0.00656330i
$787$	−12.4133	−	8.29428i	−0.442485	−	0.295659i	0.314299	−	0.949324i	$-0.398231\pi$
$787$	−12.4133	−	8.29428i	−0.442485	−	0.295659i	−0.756784	+	0.653665i	$0.773231\pi$
$788$	1.55288	+	8.06609i	0.0553189	+	0.287343i
$789$	16.1032	−	37.5873i	0.573288	−	1.33814i
$790$	−5.42819	−	2.26803i	−0.193126	−	0.0806931i
$791$	1.42826	+	3.44812i	0.0507829	+	0.122601i
$792$	−12.8172	−	13.7024i	−0.455441	−	0.486894i
$793$	4.83148	−	11.6642i	0.171571	−	0.414209i
$794$	4.51519	+	4.54308i	0.160238	+	0.161228i
$795$	18.7869	+	46.9499i	0.666303	+	1.66514i
$796$	−22.8671	+	22.5872i	−0.810503	+	0.800583i
$797$	9.22273	+	46.3658i	0.326686	+	1.64236i	0.699629	+	0.714506i	$0.253349\pi$
$797$	9.22273	+	46.3658i	0.326686	+	1.64236i	−0.372943	+	0.927854i	$0.621651\pi$
$798$	−3.35249	−	8.45347i	−0.118677	−	0.299250i
$799$	−10.7913			−0.381768
$800$	52.2672	−	9.56266i	1.84792	−	0.338091i
$801$	22.9192	+	10.1480i	0.809809	+	0.358563i
$802$	1.86545	+	2.81054i	0.0658715	+	0.0992437i
$803$	−17.1783	+	3.41697i	−0.606208	+	0.120582i
$804$	2.72034	−	12.4828i	0.0959391	−	0.440236i
$805$	−14.9025	−	22.3031i	−0.525243	−	0.786082i
$806$	3.69381	+	3.71663i	0.130109	+	0.130913i
$807$	13.4467	+	9.22137i	0.473346	+	0.324608i
$808$	−11.3592	−	0.104917i	−0.399614	−	0.00369098i
$809$	20.0239	−	8.29419i	0.704004	−	0.291608i	−0.00181677	−	0.999998i	$-0.500578\pi$
$809$	20.0239	−	8.29419i	0.704004	−	0.291608i	0.705821	+	0.708390i	$0.250578\pi$
$810$	−16.1651	−	45.5011i	−0.567985	−	1.59875i
$811$	35.5395	+	7.06924i	1.24796	+	0.248234i	0.774496	−	0.632579i	$-0.218004\pi$
$811$	35.5395	+	7.06924i	1.24796	+	0.248234i	0.473463	+	0.880814i	$0.343004\pi$
$812$	12.3395	+	8.35537i	0.433033	+	0.293216i
$813$	−2.72156	−	2.78803i	−0.0954492	−	0.0977806i
$814$	−3.50857	−	17.9271i	−0.122975	−	0.628343i
$815$	−9.85518	+	9.85518i	−0.345212	+	0.345212i
$816$	−9.07919	−	0.221392i	−0.317835	−	0.00775025i
$817$	12.1920	+	12.1920i	0.426545	+	0.426545i
$818$	−12.5127	+	18.6024i	−0.437498	+	0.650418i
$819$	−3.11289	+	1.97302i	−0.108773	+	0.0689430i
$820$	51.6648	+	78.3621i	1.80421	+	2.73652i
$821$	8.35571	−	42.0070i	0.291616	−	1.46605i	−0.505814	−	0.862643i	$-0.668808\pi$
$821$	8.35571	−	42.0070i	0.291616	−	1.46605i	0.797430	−	0.603411i	$-0.206192\pi$
$822$	−36.3241	+	6.65515i	−1.26695	+	0.232125i
$823$	9.10071	+	21.9711i	0.317231	+	0.765863i	0.999399	+	0.0346676i	$0.0110372\pi$
$823$	9.10071	+	21.9711i	0.317231	+	0.765863i	−0.682168	+	0.731195i	$0.738963\pi$
$824$	−8.18294	−	12.4949i	−0.285066	−	0.435282i
$825$	29.6683	+	20.3457i	1.03292	+	0.708346i
$826$	−0.0499008	+	16.2083i	−0.00173627	+	0.563960i
$827$	−26.6677	+	17.8188i	−0.927326	+	0.619619i	−0.924831	−	0.380378i	$-0.875794\pi$
$827$	−26.6677	+	17.8188i	−0.927326	+	0.619619i	−0.00249458	+	0.999997i	$0.500794\pi$
$828$	−1.36948	+	45.2027i	−0.0475926	+	1.57090i
$829$	6.79626	+	34.1671i	0.236044	+	1.18667i	0.898978	+	0.437994i	$0.144311\pi$
$829$	6.79626	+	34.1671i	0.236044	+	1.18667i	−0.662934	+	0.748678i	$0.730689\pi$
$830$	7.76424	+	1.56927i	0.269501	+	0.0544701i
$831$	−12.5085	−	2.64536i	−0.433915	−	0.0917667i
$832$	−2.23340	+	10.2361i	−0.0774291	+	0.354873i
$833$			8.02250i			0.277963i
$834$	14.6883	+	6.34636i	0.508615	+	0.219757i
$835$	78.2067	−	15.5563i	2.70645	−	0.538347i
$836$	−6.59829	−	16.2113i	−0.228207	−	0.560680i
$837$	−0.531990	+	14.6916i	−0.0183883	+	0.507817i
$838$	29.5403	+	0.0909460i	1.02045	+	0.00314168i
$839$	30.0070	+	12.4293i	1.03596	+	0.429107i	0.834859	−	0.550464i	$-0.185549\pi$
$839$	30.0070	+	12.4293i	1.03596	+	0.429107i	0.201098	+	0.979571i	$0.435549\pi$
$840$	7.01351	−	15.9617i	0.241989	−	0.550732i
$841$	−31.4975	+	13.0467i	−1.08612	+	0.449885i
$842$	5.44175	+	13.2528i	0.187535	+	0.456722i
$843$	4.58586	−	10.7041i	0.157945	−	0.368669i
$844$	13.2812	+	20.1441i	0.457158	+	0.693390i
$845$	23.7855	−	35.5975i	0.818247	−	1.22459i
$846$	−29.5573	+	18.6068i	−1.01620	+	0.639716i
$847$	−4.05321	+	4.05321i	−0.139270	+	0.139270i
$848$	25.8037	−	16.7856i	0.886103	−	0.576419i
$849$	−12.8875	−	19.8005i	−0.442297	−	0.679552i
$850$	17.0888	−	3.34452i	0.586142	−	0.114716i
$851$	−24.4613	+	36.6089i	−0.838521	+	1.25494i
$852$	−15.3013	+	14.7535i	−0.524212	+	0.505448i
$853$	−6.44765	+	32.4145i	−0.220763	+	1.10985i	0.698319	+	0.715787i	$0.253932\pi$
$853$	−6.44765	+	32.4145i	−0.220763	+	1.10985i	−0.919082	+	0.394066i	$0.871068\pi$
$854$	11.8006	+	4.93057i	0.403807	+	0.168721i
$855$	1.08681	−	45.0315i	0.0371680	−	1.54004i
$856$	11.0152	−	10.8136i	0.376493	−	0.369601i
$857$	−24.1785	−	10.0150i	−0.825920	−	0.342107i	−0.0706340	−	0.997502i	$-0.522502\pi$
$857$	−24.1785	−	10.0150i	−0.825920	−	0.342107i	−0.755286	+	0.655395i	$0.772502\pi$
$858$	−5.95685	+	3.85106i	−0.203364	+	0.131473i
$859$	−14.3617	+	9.59619i	−0.490015	+	0.327418i	−0.775910	−	0.630843i	$-0.782709\pi$
$859$	−14.3617	+	9.59619i	−0.490015	+	0.327418i	0.285895	+	0.958261i	$0.407709\pi$
$860$	−0.203538	+	33.0554i	−0.00694059	+	1.12718i
$861$	20.0974	+	0.242484i	0.684918	+	0.00826383i
$862$	−16.3331	+	10.8408i	−0.556306	+	0.369240i
$863$		−	12.6384i		−	0.430216i	−0.976590	−	0.215108i	$-0.930990\pi$
$863$		−	12.6384i		−	0.430216i	0.976590	−	0.215108i	$-0.0690103\pi$
$864$	−25.2497	+	15.0484i	−0.859012	+	0.511956i
$865$		−	7.97356i		−	0.271109i
$866$	−30.4158	−	45.8252i	−1.03357	−	1.55721i
$867$	26.4667	+	0.319332i	0.898855	+	0.0108451i
$868$	−3.77640	+	3.73017i	−0.128179	+	0.126610i
$869$	−2.01595	+	1.34702i	−0.0683865	+	0.0456944i
$870$	40.0749	+	61.9883i	1.35867	+	2.10160i
$871$	−4.46228	−	1.84834i	−0.151199	−	0.0626285i
$872$	17.3775	−	7.01065i	0.588475	−	0.237411i
$873$	0.297146	−	12.3122i	0.0100569	−	0.416703i
$874$	−16.2640	+	38.9253i	−0.550138	+	1.31667i
$875$	−3.05002	+	15.3335i	−0.103110	+	0.518367i
$876$	−0.499972	+	27.4344i	−0.0168925	+	0.926922i
$877$	−2.37088	+	3.54828i	−0.0800590	+	0.119817i	−0.869338	−	0.494218i	$-0.835455\pi$
$877$	−2.37088	+	3.54828i	−0.0800590	+	0.119817i	0.789279	+	0.614035i	$0.210455\pi$
$878$	−2.01274	−	10.2841i	−0.0679267	−	0.347072i
$879$	−7.68678	−	11.8101i	−0.259269	−	0.398344i
$880$	13.2219	−	30.8408i	0.445711	−	1.03964i
$881$	−8.04675	+	8.04675i	−0.271102	+	0.271102i	−0.829544	−	0.558442i	$-0.811399\pi$
$881$	−8.04675	+	8.04675i	−0.271102	+	0.271102i	0.558442	+	0.829544i	$0.311399\pi$
$882$	13.8328	+	21.9737i	0.465774	+	0.739892i
$883$	3.10982	−	4.65418i	0.104654	−	0.156626i	−0.775446	−	0.631413i	$-0.782475\pi$
$883$	3.10982	−	4.65418i	0.104654	−	0.156626i	0.880100	+	0.474788i	$0.157475\pi$
$884$	−0.690552	+	3.36328i	−0.0232258	+	0.113119i
$885$	−31.6160	+	73.7967i	−1.06276	+	2.48065i
$886$	28.8408	−	11.8423i	0.968925	−	0.397851i
$887$	24.8886	−	10.3092i	0.835678	−	0.346149i	0.0765302	−	0.997067i	$-0.475616\pi$
$887$	24.8886	−	10.3092i	0.835678	−	0.346149i	0.759148	+	0.650918i	$0.225616\pi$
$888$	−28.6111	−	0.609536i	−0.960126	−	0.0204547i
$889$	−15.4909	−	6.41654i	−0.519548	−	0.215204i
$890$	−0.138010	+	44.8271i	−0.00462609	+	1.50261i
$891$	−19.3084	−	4.81952i	−0.646856	−	0.161460i
$892$	−5.97382	−	2.51764i	−0.200018	−	0.0842968i
$893$	−31.9549	+	6.35622i	−1.06933	+	0.212703i
$894$	5.48409	−	12.6926i	0.183415	−	0.424505i
$895$			76.3973i			2.55368i
$896$	−10.3620	−	2.29431i	−0.346170	−	0.0766476i
$897$	16.7269	+	3.53749i	0.558494	+	0.118113i
$898$	−7.96379	+	39.4023i	−0.265755	+	1.31487i
$899$	−4.38428	−	22.0412i	−0.146224	−	0.735117i
$900$	41.0396	−	38.6260i	1.36799	−	1.28753i
$901$	8.38787	−	5.60459i	0.279440	−	0.186716i
$902$	38.6831	+	0.119094i	1.28800	+	0.00396540i
$903$	5.83763	+	4.00329i	0.194264	+	0.133221i
$904$	11.0569	−	2.09338i	0.367746	−	0.0696247i
$905$	−7.77766	−	18.7769i	−0.258538	−	0.624166i
$906$	6.28451	+	34.3012i	0.208789	+	1.13958i
$907$	6.87413	−	34.5586i	0.228252	−	1.14750i	−0.681331	−	0.731976i	$-0.738598\pi$
$907$	6.87413	−	34.5586i	0.228252	−	1.14750i	0.909582	−	0.415523i	$-0.136402\pi$
$908$	9.00898	+	1.84974i	0.298974	+	0.0613856i
$909$	−10.1767	+	6.45025i	−0.337541	+	0.213941i
$910$	−5.46910	−	3.67874i	−0.181299	−	0.121949i
$911$	1.71868	+	1.71868i	0.0569423	+	0.0569423i	0.735005	−	0.678062i	$-0.237180\pi$
$911$	1.71868	+	1.71868i	0.0569423	+	0.0569423i	−0.678062	+	0.735005i	$0.737180\pi$
$912$	−27.0155	+	4.69220i	−0.894573	+	0.155374i
$913$	2.30843	−	2.30843i	0.0763978	−	0.0763978i
$914$	−30.9123	+	6.04995i	−1.02249	+	0.200115i
$915$	44.2501	+	45.3310i	1.46286	+	1.49860i
$916$	−6.48268	−	33.6729i	−0.214194	−	1.11259i
$917$	4.56407	+	0.907850i	0.150719	+	0.0299798i
$918$	−8.21333	+	5.03310i	−0.271080	+	0.166117i
$919$	40.8933	−	16.9386i	1.34895	−	0.558752i	0.412948	−	0.910755i	$-0.364499\pi$
$919$	40.8933	−	16.9386i	1.34895	−	0.558752i	0.935999	+	0.352002i	$0.114499\pi$
$920$	−75.0046	+	30.2594i	−2.47283	+	0.997622i
$921$	25.8273	+	17.7117i	0.851038	+	0.583619i
$922$	−0.296999	+	0.295176i	−0.00978113	+	0.00972109i
$923$	4.46439	+	6.68144i	0.146947	+	0.219922i
$924$	−3.88247	−	6.04619i	−0.127724	−	0.198905i
$925$	53.8152	−	10.7045i	1.76943	−	0.351962i
$926$	4.26712	−	2.83224i	0.140226	−	0.0930731i
$927$	−14.4856	−	6.41384i	−0.475769	−	0.210658i
$928$	32.2576	−	31.2795i	1.05891	−	1.02680i
$929$	−44.2992			−1.45341			−0.726704	−	0.686951i	$-0.758949\pi$
$929$	−44.2992			−1.45341			−0.726704	+	0.686951i	$0.758949\pi$
$930$	−24.4402	+	9.69254i	−0.801427	+	0.317831i
$931$	4.72537	+	23.7561i	0.154868	+	0.778573i
$932$	−23.4992	−	0.144696i	−0.769741	−	0.00473967i
$933$	−16.9674	−	42.4027i	−0.555487	−	1.38820i
$934$	−8.84053	+	8.78627i	−0.289271	+	0.287495i
$935$	4.20823	−	10.1596i	0.137624	−	0.332253i
$936$	3.90769	+	10.4027i	0.127727	+	0.340023i
$937$	1.30230	+	3.14403i	0.0425442	+	0.102711i	0.943723	−	0.330736i	$-0.107297\pi$
$937$	1.30230	+	3.14403i	0.0425442	+	0.102711i	−0.901179	+	0.433447i	$0.857297\pi$
$938$	1.88625	−	4.51444i	0.0615882	−	0.147402i
$939$	15.9453	−	37.2187i	0.520354	−	1.21459i
$940$	−51.7214	−	35.0217i	−1.68697	−	1.14228i
$941$	21.5451	+	14.3960i	0.702350	+	0.469295i	0.854761	−	0.519022i	$-0.173704\pi$
$941$	21.5451	+	14.3960i	0.702350	+	0.469295i	−0.152411	+	0.988317i	$0.548704\pi$
$942$	−0.436435	+	28.8176i	−0.0142198	+	0.938929i
$943$	−65.9290	−	65.9290i	−2.14694	−	2.14694i
$944$	47.8111	+	10.1238i	1.55612	+	0.329503i
$945$	−2.94898	−	18.2556i	−0.0959302	−	0.593854i
$946$	11.3042	+	7.60365i	0.367530	+	0.247216i
$947$	34.4930	+	23.0475i	1.12087	+	0.748943i	0.970838	−	0.239738i	$-0.0770614\pi$
$947$	34.4930	+	23.0475i	1.12087	+	0.748943i	0.150035	+	0.988681i	$0.452061\pi$
$948$	1.38939	+	3.53513i	0.0451252	+	0.114816i
$949$	10.1741	+	2.02375i	0.330264	+	0.0656936i
$950$	48.6331	−	19.9693i	1.57786	−	0.647889i
$951$	−5.61229	−	30.1089i	−0.181991	−	0.976348i
$952$	−3.40478	−	0.710005i	−0.110350	−	0.0230114i
$953$	−8.79065	+	21.2225i	−0.284757	+	0.687464i	−0.999934	−	0.0114791i	$-0.996346\pi$
$953$	−8.79065	+	21.2225i	−0.284757	+	0.687464i	0.715177	+	0.698943i	$0.246346\pi$
$954$	13.3107	−	29.8138i	0.430950	−	0.965256i
$955$	−43.6121	−	65.2701i	−1.41125	−	2.11209i
$956$	−12.7966	+	5.20845i	−0.413872	+	0.168453i
$957$	30.4191	+	0.367020i	0.983311	+	0.0118641i
$958$	−6.36403	+	31.4872i	−0.205612	+	1.01730i
$959$	−14.1423			−0.456680
$960$	−42.7971	−	30.5265i	−1.38127	−	0.985237i
$961$	−22.9953			−0.741783
$962$	−2.14334	+	10.6045i	−0.0691039	+	0.341904i
$963$	3.58058	−	15.9760i	0.115383	−	0.514819i
$964$	−6.74614	−	16.5745i	−0.217278	−	0.533830i
$965$	1.91576	+	2.86714i	0.0616705	+	0.0922964i
$966$	−3.63558	+	16.9330i	−0.116973	+	0.544810i
$967$	−10.4250	+	25.1681i	−0.335244	+	0.809350i	0.662915	+	0.748695i	$0.269319\pi$
$967$	−10.4250	+	25.1681i	−0.335244	+	0.809350i	−0.998159	+	0.0606556i	$0.980681\pi$
$968$	9.46897	+	14.4586i	0.304344	+	0.464718i
$969$	−8.83377	+	1.64661i	−0.283781	+	0.0528967i
$970$	20.3750	−	8.36618i	0.654200	−	0.268622i
$971$	−53.8102	−	10.7035i	−1.72685	−	0.343492i	−0.770887	−	0.636972i	$-0.780187\pi$
$971$	−53.8102	−	10.7035i	−1.72685	−	0.343492i	−0.955965	+	0.293480i	$0.905187\pi$
$972$	−13.8180	+	27.9475i	−0.443214	+	0.896416i
$973$	5.09497	+	3.40435i	0.163337	+	0.109139i
$974$	28.5491	+	19.2033i	0.914773	+	0.615314i
$975$	−11.6225	−	17.8570i	−0.372219	−	0.571883i
$976$	21.8170	−	31.7967i	0.698345	−	1.01779i
$977$	−16.7378	−	16.7378i	−0.535490	−	0.535490i	0.386711	−	0.922201i	$-0.373611\pi$
$977$	−16.7378	−	16.7378i	−0.535490	−	0.535490i	−0.922201	+	0.386711i	$0.873611\pi$
$978$	8.99767	+	0.136267i	0.287714	+	0.00435734i
$979$	15.3613	+	10.2641i	0.490948	+	0.328041i
$980$	−26.0360	+	38.4510i	−0.831689	+	1.22827i
$981$	11.4375	−	16.2542i	0.365170	−	0.518958i
$982$	12.4132	−	29.7092i	0.396122	−	0.948058i
$983$	7.91076	+	19.0983i	0.252314	+	0.609140i	0.998390	−	0.0567209i	$-0.0180645\pi$
$983$	7.91076	+	19.0983i	0.252314	+	0.609140i	−0.746076	+	0.665861i	$0.768065\pi$
$984$	13.0861	−	59.1720i	0.417170	−	1.88633i
$985$	−5.96281	+	14.3955i	−0.189991	+	0.458679i
$986$	10.4443	−	10.3802i	0.332613	−	0.330571i
$987$	−12.4182	+	4.96912i	−0.395275	+	0.158169i
$988$	−0.0638285	+	10.3660i	−0.00203065	+	0.329786i
$989$	−6.40609	−	32.2056i	−0.203702	−	1.02408i
$990$	−5.99124	−	35.0831i	−0.190414	−	1.11501i
$991$	35.2885			1.12098			0.560489	−	0.828162i	$-0.310613\pi$
$991$	35.2885			1.12098			0.560489	+	0.828162i	$0.310613\pi$
$992$	8.68585	+	13.4427i	0.275776	+	0.426807i
$993$	46.5276	+	9.83991i	1.47651	+	0.312260i
$994$	−6.78209	+	4.50151i	−0.215115	+	0.142779i
$995$	−59.7982	+	11.8946i	−1.89573	+	0.377084i
$996$	−2.76344	−	4.30352i	−0.0875630	−	0.136362i
$997$	−27.1441	−	40.6240i	−0.859662	−	1.28658i	−0.956635	−	0.291288i	$-0.905916\pi$
$997$	−27.1441	−	40.6240i	−0.859662	−	1.28658i	0.0969732	−	0.995287i	$-0.469084\pi$
$998$	26.5415	−	26.3785i	0.840155	−	0.834998i
$999$	−25.8318	+	15.9392i	−0.817281	+	0.504294i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.107.2	✓	240
3.2	odd	2	inner	192.2.s.a.107.29	yes	240
4.3	odd	2		768.2.s.a.335.15		240
12.11	even	2		768.2.s.a.335.19		240
64.3	odd	16	inner	192.2.s.a.131.29	yes	240
64.61	even	16		768.2.s.a.431.19		240
192.125	odd	16		768.2.s.a.431.15		240
192.131	even	16	inner	192.2.s.a.131.2	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.107.2	✓	240	1.1	even	1	trivial
192.2.s.a.107.29	yes	240	3.2	odd	2	inner
192.2.s.a.131.2	yes	240	192.131	even	16	inner
192.2.s.a.131.29	yes	240	64.3	odd	16	inner
768.2.s.a.335.15		240	4.3	odd	2
768.2.s.a.335.19		240	12.11	even	2
768.2.s.a.431.15		240	192.125	odd	16
768.2.s.a.431.19		240	64.61	even	16

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.38618 - 0.280168i) q^{2} +(-0.0208964 + 1.73192i) q^{3} +(1.84301 + 0.776730i) q^{4} +(2.10773 + 3.15444i) q^{5} +(0.514197 - 2.39491i) q^{6} +(0.358981 - 0.866657i) q^{7} +(-2.33714 - 1.59304i) q^{8} +(-2.99913 - 0.0723821i) q^{9} +O(q^{10})\)	\(q+(-1.38618 - 0.280168i) q^{2} +(-0.0208964 + 1.73192i) q^{3} +(1.84301 + 0.776730i) q^{4} +(2.10773 + 3.15444i) q^{5} +(0.514197 - 2.39491i) q^{6} +(0.358981 - 0.866657i) q^{7} +(-2.33714 - 1.59304i) q^{8} +(-2.99913 - 0.0723821i) q^{9} +(-2.03792 - 4.96315i) q^{10} +(-2.16872 - 0.431384i) q^{11} +(-1.38375 + 3.17573i) q^{12} +(1.08890 + 0.727583i) q^{13} +(-0.740424 + 1.10077i) q^{14} +(-5.50729 + 3.58451i) q^{15} +(2.79338 + 2.86304i) q^{16} +(0.926917 + 0.926917i) q^{17} +(4.13706 + 0.940595i) q^{18} +(3.29073 + 2.19880i) q^{19} +(1.43442 + 7.45080i) q^{20} +(1.49348 + 0.639838i) q^{21} +(2.88538 + 1.20558i) q^{22} +(-2.88438 - 6.96350i) q^{23} +(2.80787 - 4.01446i) q^{24} +(-3.59454 + 8.67799i) q^{25} +(-1.30558 - 1.31364i) q^{26} +(0.188031 - 5.19275i) q^{27} +(1.33476 - 1.31843i) q^{28} +(1.54962 + 7.79046i) q^{29} +(8.63838 - 3.42582i) q^{30} -2.82926 q^{31} +(-3.07001 - 4.75132i) q^{32} +(0.792443 - 3.74704i) q^{33} +(-1.02518 - 1.54457i) q^{34} +(3.49045 - 0.694293i) q^{35} +(-5.47120 - 2.46291i) q^{36} +(-3.24539 - 4.85707i) q^{37} +(-3.94553 - 3.96990i) q^{38} +(-1.28287 + 1.87070i) q^{39} +(0.0991067 - 10.7301i) q^{40} +(11.4286 - 4.73390i) q^{41} +(-1.89098 - 1.30536i) q^{42} +(4.27286 + 0.849925i) q^{43} +(-3.66190 - 2.47955i) q^{44} +(-6.09302 - 9.61312i) q^{45} +(2.04732 + 10.4608i) q^{46} +(-5.82106 + 5.82106i) q^{47} +(-5.01695 + 4.77810i) q^{48} +(4.32752 + 4.32752i) q^{49} +(7.41399 - 11.0222i) q^{50} +(-1.62472 + 1.58598i) q^{51} +(1.44173 + 2.18673i) q^{52} +(1.50136 - 7.54785i) q^{53} +(-1.71549 + 7.14542i) q^{54} +(-3.21029 - 7.75031i) q^{55} +(-2.21961 + 1.45362i) q^{56} +(-3.87692 + 5.65335i) q^{57} +(0.0345837 - 11.2332i) q^{58} +(10.1587 - 6.78785i) q^{59} +(-12.9342 + 2.32861i) q^{60} +(-1.88076 - 9.45520i) q^{61} +(3.92188 + 0.792669i) q^{62} +(-1.13936 + 2.57323i) q^{63} +(2.92442 + 7.44632i) q^{64} +4.96843i q^{65} +(-2.14827 + 4.97206i) q^{66} +(-3.61720 + 0.719505i) q^{67} +(0.988354 + 2.42828i) q^{68} +(12.1205 - 4.85001i) q^{69} +(-5.03292 - 0.0154949i) q^{70} +(5.66886 + 2.34812i) q^{71} +(6.89406 + 4.94691i) q^{72} +(7.31800 - 3.03121i) q^{73} +(3.13791 + 7.64204i) q^{74} +(-14.9545 - 6.40681i) q^{75} +(4.35699 + 6.60842i) q^{76} +(-1.15239 + 1.72467i) q^{77} +(2.30241 - 2.23371i) q^{78} +(0.775337 - 0.775337i) q^{79} +(-3.14360 + 14.8461i) q^{80} +(8.98952 + 0.434166i) q^{81} +(-17.1685 + 3.36011i) q^{82} +(-0.820241 + 1.22758i) q^{83} +(2.25552 + 2.33926i) q^{84} +(-0.970213 + 4.87759i) q^{85} +(-5.68485 - 2.37527i) q^{86} +(-13.5249 + 2.52103i) q^{87} +(4.38137 + 4.46306i) q^{88} +(-7.71911 - 3.19736i) q^{89} +(5.75275 + 15.0326i) q^{90} +(1.02146 - 0.682518i) q^{91} +(0.0928191 - 15.0742i) q^{92} +(0.0591214 - 4.90007i) q^{93} +(9.69993 - 6.43818i) q^{94} +15.0149i q^{95} +(8.29308 - 5.21774i) q^{96} +4.10525i q^{97} +(-4.78631 - 7.21117i) q^{98} +(6.47303 + 1.45075i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9}+O(q^{10}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28} - 88 q^{30} - 32 q^{31} - 16 q^{34} - 88 q^{36} - 16 q^{37} - 8 q^{39} - 16 q^{40} - 48 q^{42} - 16 q^{43} - 8 q^{45} - 16 q^{46} - 8 q^{48} - 16 q^{49} - 8 q^{51} + 32 q^{52} - 8 q^{54} - 80 q^{55} - 8 q^{57} + 128 q^{58} - 8 q^{60} - 16 q^{61} + 80 q^{64} - 24 q^{66} - 144 q^{67} - 8 q^{69} + 80 q^{70} - 8 q^{72} - 16 q^{73} - 8 q^{75} + 96 q^{76} + 16 q^{78} - 48 q^{79} - 8 q^{81} + 64 q^{82} + 104 q^{84} - 16 q^{85} - 8 q^{87} + 64 q^{88} + 136 q^{90} - 16 q^{91} - 32 q^{93} + 80 q^{94} + 128 q^{96} - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

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