LMFDB - Embedded newform 588.2.x.a.55.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.16
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.131027 + 1.40813i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.96566 + 0.369007i) q^{4} +(-1.40445 + 2.91638i) q^{5} +(0.492913 - 1.32553i) q^{6} +(-0.602515 + 2.57623i) q^{7} +(-0.777166 - 2.71956i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(0.131027 + 1.40813i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.96566 + 0.369007i) q^{4} +(-1.40445 + 2.91638i) q^{5} +(0.492913 - 1.32553i) q^{6} +(-0.602515 + 2.57623i) q^{7} +(-0.777166 - 2.71956i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-4.29066 - 1.59553i) q^{10} +(4.48141 + 3.57380i) q^{11} +(1.93111 + 0.520405i) q^{12} +(-5.18625 - 4.13590i) q^{13} +(-3.70662 - 0.510862i) q^{14} +(2.53074 - 2.01820i) q^{15} +(3.72767 - 1.45069i) q^{16} +(-2.33574 - 0.533118i) q^{17} +(-1.01923 + 0.980396i) q^{18} +0.956950 q^{19} +(1.68452 - 6.25087i) q^{20} +(1.66063 - 2.05968i) q^{21} +(-4.44519 + 6.77867i) q^{22} +(-3.93628 + 0.898431i) q^{23} +(-0.479771 + 2.78744i) q^{24} +(-3.41533 - 4.28268i) q^{25} +(5.14435 - 7.84484i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(0.233692 - 5.28634i) q^{28} +(1.91011 - 8.36874i) q^{29} +(3.17348 + 3.29917i) q^{30} -1.40367 q^{31} +(2.53119 + 5.05896i) q^{32} +(-2.48699 - 5.16429i) q^{33} +(0.444653 - 3.35888i) q^{34} +(-6.66707 - 5.37536i) q^{35} +(-1.51407 - 1.30675i) q^{36} +(-1.60072 + 7.01321i) q^{37} +(0.125387 + 1.34751i) q^{38} +(2.87815 + 5.97655i) q^{39} +(9.02276 + 1.55299i) q^{40} +(-0.108504 + 0.225311i) q^{41} +(3.11789 + 2.06851i) q^{42} +(-2.58833 - 5.37473i) q^{43} +(-10.1277 - 5.37122i) q^{44} +(-3.15578 + 0.720286i) q^{45} +(-1.78087 - 5.42508i) q^{46} +(-0.0885251 + 0.111007i) q^{47} +(-3.98794 - 0.310349i) q^{48} +(-6.27395 - 3.10444i) q^{49} +(5.58308 - 5.37037i) q^{50} +(1.87312 + 1.49376i) q^{51} +(11.7206 + 6.21602i) q^{52} +(-0.185149 - 0.811190i) q^{53} +(1.34367 - 0.441081i) q^{54} +(-16.7165 + 8.05024i) q^{55} +(7.47448 - 0.363586i) q^{56} +(-0.862182 - 0.415205i) q^{57} +(12.0346 + 1.59315i) q^{58} +(8.03942 - 3.87158i) q^{59} +(-4.22985 + 4.90096i) q^{60} +(-4.45747 - 1.01739i) q^{61} +(-0.183919 - 1.97654i) q^{62} +(-2.38984 + 1.13519i) q^{63} +(-6.79202 + 4.22710i) q^{64} +(19.3457 - 9.31640i) q^{65} +(6.94614 - 4.17867i) q^{66} +11.0858i q^{67} +(4.78800 + 0.186024i) q^{68} +(3.93628 + 0.898431i) q^{69} +(6.69564 - 10.0924i) q^{70} +(-3.03880 + 0.693586i) q^{71} +(1.64168 - 2.30323i) q^{72} +(-11.1047 + 8.85573i) q^{73} +(-10.0853 - 1.33510i) q^{74} +(1.21892 + 5.34042i) q^{75} +(-1.88104 + 0.353122i) q^{76} +(-11.9071 + 9.39188i) q^{77} +(-8.03864 + 4.83591i) q^{78} +9.02293i q^{79} +(-1.00458 + 12.9087i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-0.331484 - 0.123266i) q^{82} +(10.1002 + 12.6653i) q^{83} +(-2.50421 + 4.66143i) q^{84} +(4.83521 - 6.06317i) q^{85} +(7.22918 - 4.34895i) q^{86} +(-5.35201 + 6.71121i) q^{87} +(6.23638 - 14.9649i) q^{88} +(-0.234167 + 0.186742i) q^{89} +(-1.42775 - 4.34937i) q^{90} +(13.7798 - 10.8691i) q^{91} +(7.40588 - 3.21853i) q^{92} +(1.26466 + 0.609027i) q^{93} +(-0.167911 - 0.110110i) q^{94} +(-1.34399 + 2.79083i) q^{95} +(-0.0855182 - 5.65621i) q^{96} +3.75714i q^{97} +(3.54939 - 9.24131i) q^{98} +5.73193i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

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 $

$2$	0.131027	+	1.40813i	0.0926504	+	0.995699i
$2$	0.131027	+	1.40813i	0.0926504	+	0.995699i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	−1.96566	+	0.369007i	−0.982832	+	0.184504i
$5$	−1.40445	+	2.91638i	−0.628091	+	1.30424i	0.307631	+	0.951506i	$0.400464\pi$
$5$	−1.40445	+	2.91638i	−0.628091	+	1.30424i	−0.935722	+	0.352739i	$0.885251\pi$
$6$	0.492913	−	1.32553i	0.201231	−	0.541146i
$7$	−0.602515	+	2.57623i	−0.227729	+	0.973725i
$7$	−0.602515	+	2.57623i	−0.227729	+	0.973725i
$8$	−0.777166	−	2.71956i	−0.274770	−	0.961510i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	−4.29066	−	1.59553i	−1.35683	−	0.504551i
$11$	4.48141	+	3.57380i	1.35119	+	1.07754i	0.989389	+	0.145288i	$0.0464110\pi$
$11$	4.48141	+	3.57380i	1.35119	+	1.07754i	0.361806	+	0.932254i	$0.382160\pi$
$12$	1.93111	+	0.520405i	0.557463	+	0.150228i
$13$	−5.18625	−	4.13590i	−1.43841	−	1.14709i	−0.963713	−	0.266942i	$-0.913987\pi$
$13$	−5.18625	−	4.13590i	−1.43841	−	1.14709i	−0.474696	−	0.880150i	$-0.657442\pi$
$14$	−3.70662	−	0.510862i	−0.990635	−	0.136534i
$15$	2.53074	−	2.01820i	0.653434	−	0.521096i
$16$	3.72767	−	1.45069i	0.931917	−	0.362672i
$17$	−2.33574	−	0.533118i	−0.566500	−	0.129300i	−0.0703278	−	0.997524i	$-0.522405\pi$
$17$	−2.33574	−	0.533118i	−0.566500	−	0.129300i	−0.496173	+	0.868224i	$0.665262\pi$
$18$	−1.01923	+	0.980396i	−0.240234	+	0.231082i
$19$	0.956950			0.219539			0.109770	−	0.993957i	$-0.464989\pi$
$19$	0.956950			0.219539			0.109770	+	0.993957i	$0.464989\pi$
$20$	1.68452	−	6.25087i	0.376670	−	1.39774i
$21$	1.66063	−	2.05968i	0.362380	−	0.449460i
$22$	−4.44519	+	6.77867i	−0.947718	+	1.44522i
$23$	−3.93628	+	0.898431i	−0.820772	+	0.187336i	−0.612232	−	0.790678i	$-0.709728\pi$
$23$	−3.93628	+	0.898431i	−0.820772	+	0.187336i	−0.208540	+	0.978014i	$0.566871\pi$
$24$	−0.479771	+	2.78744i	−0.0979328	+	0.568984i
$25$	−3.41533	−	4.28268i	−0.683065	−	0.856537i
$26$	5.14435	−	7.84484i	1.00889	−	1.53850i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	0.233692	−	5.28634i	0.0441636	−	0.999024i
$29$	1.91011	−	8.36874i	0.354699	−	1.55404i	−0.411487	−	0.911416i	$-0.634990\pi$
$29$	1.91011	−	8.36874i	0.354699	−	1.55404i	0.766185	−	0.642620i	$-0.222153\pi$
$30$	3.17348	+	3.29917i	0.579396	+	0.602344i
$31$	−1.40367			−0.252106			−0.126053	−	0.992024i	$-0.540231\pi$
$31$	−1.40367			−0.252106			−0.126053	+	0.992024i	$0.540231\pi$
$32$	2.53119	+	5.05896i	0.447455	+	0.894307i
$33$	−2.48699	−	5.16429i	−0.432930	−	0.898988i
$34$	0.444653	−	3.35888i	0.0762574	−	0.576043i
$35$	−6.66707	−	5.37536i	−1.12694	−	0.908602i
$36$	−1.51407	−	1.30675i	−0.252345	−	0.217791i
$37$	−1.60072	+	7.01321i	−0.263157	+	1.15296i	0.654649	+	0.755933i	$0.272817\pi$
$37$	−1.60072	+	7.01321i	−0.263157	+	1.15296i	−0.917805	+	0.397031i	$0.870041\pi$
$38$	0.125387	+	1.34751i	0.0203404	+	0.218595i
$39$	2.87815	+	5.97655i	0.460873	+	0.957014i
$40$	9.02276	+	1.55299i	1.42662	+	0.245549i
$41$	−0.108504	+	0.225311i	−0.0169455	+	0.0351876i	−0.909270	−	0.416207i	$-0.863359\pi$
$41$	−0.108504	+	0.225311i	−0.0169455	+	0.0351876i	0.892324	+	0.451395i	$0.149073\pi$
$42$	3.11789	+	2.06851i	0.481101	+	0.319178i
$43$	−2.58833	−	5.37473i	−0.394717	−	0.819638i	−0.999726	−	0.0234195i	$-0.992545\pi$
$43$	−2.58833	−	5.37473i	−0.394717	−	0.819638i	0.605009	−	0.796219i	$-0.293170\pi$
$44$	−10.1277	−	5.37122i	−1.52681	−	0.809742i
$45$	−3.15578	+	0.720286i	−0.470436	+	0.107374i
$46$	−1.78087	−	5.42508i	−0.262575	−	0.799885i
$47$	−0.0885251	+	0.111007i	−0.0129127	+	0.0161920i	−0.788246	−	0.615360i	$-0.789011\pi$
$47$	−0.0885251	+	0.111007i	−0.0129127	+	0.0161920i	0.775333	+	0.631552i	$0.217582\pi$
$48$	−3.98794	−	0.310349i	−0.575610	−	0.0447950i
$49$	−6.27395	−	3.10444i	−0.896279	−	0.443491i
$50$	5.58308	−	5.37037i	0.789566	−	0.759485i
$51$	1.87312	+	1.49376i	0.262289	+	0.209169i
$52$	11.7206	+	6.21602i	1.62536	+	0.862007i
$53$	−0.185149	−	0.811190i	−0.0254321	−	0.111425i	0.960619	−	0.277870i	$-0.0896285\pi$
$53$	−0.185149	−	0.811190i	−0.0254321	−	0.111425i	−0.986051	+	0.166445i	$0.946771\pi$
$54$	1.34367	−	0.441081i	0.182850	−	0.0600235i
$55$	−16.7165	+	8.05024i	−2.25405	+	1.08549i
$56$	7.47448	−	0.363586i	0.998819	−	0.0485863i
$57$	−0.862182	−	0.415205i	−0.114199	−	0.0549952i
$58$	12.0346	+	1.59315i	1.58021	+	0.209191i
$59$	8.03942	−	3.87158i	1.04664	−	0.504037i	0.170133	−	0.985421i	$-0.445580\pi$
$59$	8.03942	−	3.87158i	1.04664	−	0.504037i	0.876510	+	0.481384i	$0.159866\pi$
$60$	−4.22985	+	4.90096i	−0.546071	+	0.632711i
$61$	−4.45747	−	1.01739i	−0.570720	−	0.130263i	−0.0725844	−	0.997362i	$-0.523125\pi$
$61$	−4.45747	−	1.01739i	−0.570720	−	0.130263i	−0.498136	+	0.867099i	$0.665982\pi$
$62$	−0.183919	−	1.97654i	−0.0233577	−	0.251021i
$63$	−2.38984	+	1.13519i	−0.301092	+	0.143021i
$64$	−6.79202	+	4.22710i	−0.849003	+	0.528388i
$65$	19.3457	−	9.31640i	2.39954	−	1.15556i
$66$	6.94614	−	4.17867i	0.855010	−	0.514359i
$67$			11.0858i			1.35435i	0.735822	+	0.677175i	$0.236796\pi$
$67$			11.0858i			1.35435i	−0.735822	+	0.677175i	$0.763204\pi$
$68$	4.78800	+	0.186024i	0.580631	+	0.0225588i
$69$	3.93628	+	0.898431i	0.473873	+	0.108158i
$70$	6.69564	−	10.0924i	0.800282	−	1.20628i
$71$	−3.03880	+	0.693586i	−0.360639	+	0.0823136i	−0.399001	−	0.916950i	$-0.630643\pi$
$71$	−3.03880	+	0.693586i	−0.360639	+	0.0823136i	0.0383621	+	0.999264i	$0.487786\pi$
$72$	1.64168	−	2.30323i	0.193474	−	0.271438i
$73$	−11.1047	+	8.85573i	−1.29971	+	1.03648i	−0.303207	+	0.952925i	$0.598058\pi$
$73$	−11.1047	+	8.85573i	−1.29971	+	1.03648i	−0.996503	+	0.0835598i	$0.973371\pi$
$74$	−10.0853	−	1.33510i	−1.17239	−	0.155202i
$75$	1.21892	+	5.34042i	0.140748	+	0.616658i
$76$	−1.88104	+	0.353122i	−0.215770	+	0.0405058i
$77$	−11.9071	+	9.39188i	−1.35694	+	1.07030i
$78$	−8.03864	+	4.83591i	−0.910197	+	0.547559i
$79$			9.02293i			1.01516i	0.861605	+	0.507579i	$0.169460\pi$
$79$			9.02293i			1.01516i	−0.861605	+	0.507579i	$0.830540\pi$
$80$	−1.00458	+	12.9087i	−0.112315	+	1.44324i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	−0.331484	−	0.123266i	−0.0366063	−	0.0136124i
$83$	10.1002	+	12.6653i	1.10865	+	1.39020i	0.912231	+	0.409676i	$0.134358\pi$
$83$	10.1002	+	12.6653i	1.10865	+	1.39020i	0.196414	+	0.980521i	$0.437070\pi$
$84$	−2.50421	+	4.66143i	−0.273231	+	0.508604i
$85$	4.83521	−	6.06317i	0.524453	−	0.657643i
$86$	7.22918	−	4.34895i	0.779542	−	0.468959i
$87$	−5.35201	+	6.71121i	−0.573796	+	0.719517i
$88$	6.23638	−	14.9649i	0.664800	−	1.59526i
$89$	−0.234167	+	0.186742i	−0.0248216	+	0.0197946i	−0.635822	−	0.771836i	$-0.719339\pi$
$89$	−0.234167	+	0.186742i	−0.0248216	+	0.0197946i	0.611000	+	0.791630i	$0.290767\pi$
$90$	−1.42775	−	4.34937i	−0.150498	−	0.458464i
$91$	13.7798	−	10.8691i	1.44452	−	1.13939i
$92$	7.40588	−	3.21853i	0.772116	−	0.335555i
$93$	1.26466	+	0.609027i	0.131139	+	0.0631532i
$94$	−0.167911	−	0.110110i	−0.0173187	−	0.0113570i
$95$	−1.34399	+	2.79083i	−0.137891	+	0.286333i
$96$	−0.0855182	−	5.65621i	−0.00872817	−	0.577284i
$97$			3.75714i			0.381479i	0.981641	+	0.190740i	$0.0610886\pi$
$97$			3.75714i			0.381479i	−0.981641	+	0.190740i	$0.938911\pi$
$98$	3.54939	−	9.24131i	0.358543	−	0.933513i
$99$			5.73193i			0.576081i
$100$	8.29372	+	7.15803i	0.829372	+	0.715803i
$101$	0.00440578	−	0.00914869i	0.000438391	−	0.000910329i	−0.900750	−	0.434339i	$-0.856982\pi$
$101$	0.00440578	−	0.00914869i	0.000438391	−	0.000910329i	0.901188	+	0.433429i	$0.142696\pi$
$102$	−1.85798	+	2.83332i	−0.183968	+	0.280540i
$103$	−4.90496	−	2.36210i	−0.483300	−	0.232745i	0.176336	−	0.984330i	$-0.443575\pi$
$103$	−4.90496	−	2.36210i	−0.483300	−	0.232745i	−0.659636	+	0.751585i	$0.729290\pi$
$104$	−7.21725	+	17.3186i	−0.707710	+	1.69823i
$105$	3.67454	+	7.73577i	0.358598	+	0.754933i
$106$	1.11800	−	0.367002i	0.108590	−	0.0356464i
$107$	5.98658	−	4.77414i	0.578745	−	0.461533i	−0.289840	−	0.957075i	$-0.593602\pi$
$107$	5.98658	−	4.77414i	0.578745	−	0.461533i	0.868584	+	0.495542i	$0.165031\pi$
$108$	0.797157	+	1.83427i	0.0767065	+	0.176503i
$109$	6.63777	−	8.32350i	0.635783	−	0.797247i	−0.354685	−	0.934986i	$-0.615412\pi$
$109$	6.63777	−	8.32350i	0.635783	−	0.797247i	0.990469	+	0.137739i	$0.0439835\pi$
$110$	−13.5261	−	22.4842i	−1.28966	−	2.14378i
$111$	4.48511	−	5.62416i	0.425708	−	0.533821i
$112$	1.49134	+	10.4774i	0.140918	+	0.990021i
$113$	3.21445	+	4.03080i	0.302390	+	0.379185i	0.909690	−	0.415287i	$-0.136319\pi$
$113$	3.21445	+	4.03080i	0.302390	+	0.379185i	−0.607300	+	0.794472i	$0.707747\pi$
$114$	0.471693	−	1.26847i	0.0441781	−	0.118803i
$115$	2.90816	−	12.7415i	0.271188	−	1.18815i
$116$	−0.666507	+	17.1550i	−0.0618837	+	1.59280i
$117$		−	6.63347i		−	0.613264i
$118$	6.50507	+	10.8133i	0.598840	+	0.995442i
$119$	2.78075	−	5.69620i	0.254911	−	0.522170i
$120$	−7.45541	−	5.31402i	−0.680583	−	0.485102i
$121$	4.86321	+	21.3071i	0.442110	+	1.93701i
$122$	0.848564	−	6.41000i	0.0768254	−	0.580334i
$123$	0.195517	−	0.155920i	0.0176292	−	0.0140588i
$124$	2.75913	−	0.517963i	0.247778	−	0.0465144i
$125$	1.50769	−	0.344121i	0.134852	−	0.0307792i
$126$	−1.91163	−	3.21647i	−0.170302	−	0.286546i
$127$	−1.65766	−	0.378351i	−0.147094	−	0.0335732i	0.148340	−	0.988936i	$-0.452607\pi$
$127$	−1.65766	−	0.378351i	−0.147094	−	0.0335732i	−0.295434	+	0.955363i	$0.595464\pi$
$128$	−6.84225	−	9.01019i	−0.604776	−	0.796396i
$129$			5.96550i			0.525233i
$130$	15.6535	+	26.0206i	1.37291	+	2.28216i
$131$	−7.89692	+	3.80296i	−0.689957	+	0.332266i	−0.745796	−	0.666174i	$-0.767931\pi$
$131$	−7.89692	+	3.80296i	−0.689957	+	0.332266i	0.0558393	+	0.998440i	$0.482217\pi$
$132$	6.79425	+	9.23355i	0.591364	+	0.803677i
$133$	−0.576576	+	2.46533i	−0.0499955	+	0.213771i
$134$	−15.6103	+	1.45255i	−1.34852	+	0.125481i
$135$	3.15578	+	0.720286i	0.271606	+	0.0619924i
$136$	0.365413	+	6.76651i	0.0313339	+	0.580223i
$137$	−14.3307	+	6.90129i	−1.22435	+	0.589617i	−0.930520	−	0.366240i	$-0.880645\pi$
$137$	−14.3307	+	6.90129i	−1.22435	+	0.589617i	−0.293832	+	0.955857i	$0.594931\pi$
$138$	−0.749347	+	5.66052i	−0.0637887	+	0.481855i
$139$	−4.66487	−	2.24648i	−0.395669	−	0.190544i	0.225460	−	0.974252i	$-0.427611\pi$
$139$	−4.66487	−	2.24648i	−0.395669	−	0.190544i	−0.621129	+	0.783708i	$0.713326\pi$
$140$	15.0888	+	8.10596i	1.27523	+	0.685078i
$141$	0.127922	−	0.0616042i	0.0107730	−	0.00518801i
$142$	−1.37483	−	4.18815i	−0.115373	−	0.351462i
$143$	−8.46083	−	37.0693i	−0.707530	−	3.09989i
$144$	3.45836	+	2.00992i	0.288196	+	0.167493i
$145$	21.7237	+	17.3241i	1.80406	+	1.43869i
$146$	−13.9250	−	14.4766i	−1.15244	−	1.19809i
$147$	4.30567	+	5.51917i	0.355126	+	0.455213i
$148$	0.558550	−	14.3763i	0.0459125	−	1.18172i
$149$	−4.07083	+	5.10466i	−0.333495	+	0.418190i	−0.920100	−	0.391684i	$-0.871893\pi$
$149$	−4.07083	+	5.10466i	−0.333495	+	0.418190i	0.586605	+	0.809873i	$0.300464\pi$
$150$	−7.36029	+	2.41613i	−0.600966	+	0.197276i
$151$	−16.2080	+	3.69937i	−1.31899	+	0.301051i	−0.823377	−	0.567494i	$-0.807913\pi$
$151$	−16.2080	+	3.69937i	−1.31899	+	0.301051i	−0.495611	+	0.868545i	$0.665056\pi$
$152$	−0.743709	−	2.60248i	−0.0603228	−	0.211089i
$153$	−1.03950	−	2.15855i	−0.0840388	−	0.174508i
$154$	−14.7851	−	15.5361i	−1.19142	−	1.25193i
$155$	1.97138	−	4.09362i	0.158345	−	0.328807i
$156$	−7.86287	−	10.6858i	−0.629534	−	0.855551i
$157$	−5.51292	−	11.4477i	−0.439979	−	0.913626i	−0.996563	−	0.0828350i	$-0.973603\pi$
$157$	−5.51292	−	11.4477i	−0.439979	−	0.913626i	0.556584	−	0.830791i	$-0.312112\pi$
$158$	−12.7055	+	1.18225i	−1.01079	+	0.0940548i
$159$	−0.185149	+	0.811190i	−0.0146832	+	0.0643315i
$160$	−18.3088	+	0.276817i	−1.44744	+	0.0218843i
$161$	0.0571006	−	10.6821i	0.00450016	−	0.841867i
$162$	−1.40198	−	0.185596i	−0.110150	−	0.0145818i
$163$	1.63950	+	3.40446i	0.128416	+	0.266658i	0.955257	−	0.295778i	$-0.0955788\pi$
$163$	1.63950	+	3.40446i	0.128416	+	0.266658i	−0.826841	+	0.562435i	$0.809864\pi$
$164$	0.130141	−	0.482924i	0.0101623	−	0.0377100i
$165$	18.5539			1.44442
$166$	−16.5110	+	15.8820i	−1.28150	+	1.23268i
$167$	0.418121	−	1.83191i	0.0323552	−	0.141757i	−0.956170	−	0.292811i	$-0.905409\pi$
$167$	0.418121	−	1.83191i	0.0323552	−	0.141757i	0.988526	+	0.151053i	$0.0482666\pi$
$168$	−6.89203	−	2.91547i	−0.531731	−	0.224934i
$169$	6.89879	+	30.2256i	0.530677	+	2.32505i
$170$	9.17127	+	6.01417i	0.703405	+	0.461266i
$171$	0.596649	+	0.748174i	0.0456269	+	0.0572143i
$172$	7.07111	+	9.60979i	0.539167	+	0.732740i
$173$	−10.1428	+	2.31503i	−0.771143	+	0.176008i	−0.589950	−	0.807439i	$-0.700853\pi$
$173$	−10.1428	+	2.31503i	−0.771143	+	0.176008i	−0.181192	+	0.983448i	$0.557996\pi$
$174$	−10.1515	−	6.65698i	−0.769584	−	0.504664i
$175$	13.0910	−	6.21829i	0.989584	−	0.470059i
$176$	21.8897	+	6.82082i	1.65000	+	0.514139i
$177$	−8.92308			−0.670700
$178$	−0.293639	−	0.305269i	−0.0220092	−	0.0228809i
$179$	5.22807	+	1.19327i	0.390764	+	0.0891893i	0.413389	−	0.910555i	$-0.364345\pi$
$179$	5.22807	+	1.19327i	0.390764	+	0.0891893i	−0.0226246	+	0.999744i	$0.507202\pi$
$180$	5.93741	−	2.58035i	0.442548	−	0.192328i
$181$	−8.75034	+	6.97816i	−0.650408	+	0.518683i	−0.892197	−	0.451646i	$-0.850837\pi$
$181$	−8.75034	+	6.97816i	−0.650408	+	0.518683i	0.241790	+	0.970329i	$0.422266\pi$
$182$	17.1106	+	17.9797i	1.26832	+	1.33274i
$183$	3.57461	+	2.85066i	0.264243	+	0.210727i
$184$	5.50248	+	10.0067i	0.405649	+	0.737706i
$185$	−18.2050	−	14.5180i	−1.33846	−	1.06739i
$186$	−0.691885	+	1.86060i	−0.0507315	+	0.136426i
$187$	−8.56215	−	10.7366i	−0.626126	−	0.785137i
$188$	0.133048	−	0.250869i	0.00970353	−	0.0182965i
$189$	2.64571	+	0.0141425i	0.192447	+	0.00102872i
$190$	−4.10595	−	1.52684i	−0.297877	−	0.110769i
$191$	−11.1619	+	23.1779i	−0.807645	+	1.67709i	−0.0742981	+	0.997236i	$0.523672\pi$
$191$	−11.1619	+	23.1779i	−0.807645	+	1.67709i	−0.733346	+	0.679855i	$0.762043\pi$
$192$	7.95347	−	0.861539i	0.573993	−	0.0621762i
$193$	−16.3554	−	7.87634i	−1.17729	−	0.566951i	−0.260167	−	0.965564i	$-0.583778\pi$
$193$	−16.3554	−	7.87634i	−1.17729	−	0.566951i	−0.917120	+	0.398612i	$0.869492\pi$
$194$	−5.29054	+	0.492288i	−0.379838	+	0.0353442i
$195$	−21.4721			−1.53765
$196$	13.4780	+	3.78714i	0.962717	+	0.270510i
$197$	12.8436			0.915070			0.457535	−	0.889192i	$-0.348733\pi$
$197$	12.8436			0.915070			0.457535	+	0.889192i	$0.348733\pi$
$198$	−8.07131	+	0.751040i	−0.573603	+	0.0533741i
$199$	−10.9068	−	5.25242i	−0.773159	−	0.372334i	0.00533491	−	0.999986i	$-0.498302\pi$
$199$	−10.9068	−	5.25242i	−0.773159	−	0.372334i	−0.778494	+	0.627652i	$0.784016\pi$
$200$	−8.99274	+	12.6165i	−0.635883	+	0.892124i
$201$	4.80996	−	9.98799i	0.339269	−	0.704499i
$202$	0.0134598	+	0.00500518i	0.000947030	+	0.000352163i
$203$	20.4090	+	9.96317i	1.43243	+	0.699278i
$204$	−4.23313	−	2.24504i	−0.296378	−	0.157184i
$205$	−0.504703	−	0.632877i	−0.0352500	−	0.0442021i
$206$	2.68347	−	7.21632i	0.186966	−	0.502785i
$207$	−3.15665	−	2.51735i	−0.219403	−	0.174968i
$208$	−25.3325	−	7.89362i	−1.75650	−	0.547324i
$209$	4.28848	+	3.41995i	0.296640	+	0.236563i
$210$	−10.4115	+	6.18783i	−0.718462	+	0.427001i
$211$	18.2432	−	14.5485i	1.25591	−	1.00156i	0.256527	−	0.966537i	$-0.417422\pi$
$211$	18.2432	−	14.5485i	1.25591	−	1.00156i	0.999387	−	0.0350205i	$-0.0111497\pi$
$212$	0.663275	+	1.52620i	0.0455539	+	0.104820i
$213$	3.03880	+	0.693586i	0.208215	+	0.0475238i
$214$	7.50702	+	7.80434i	0.513169	+	0.533494i
$215$	19.3099			1.31693
$216$	−2.47844	+	1.36284i	−0.168636	+	0.0927295i
$217$	0.845729	−	3.61617i	0.0574118	−	0.245482i
$218$	12.5903	+	8.25624i	0.852723	+	0.559183i
$219$	13.8474	−	3.16057i	0.935719	−	0.213572i
$220$	29.8884	−	21.9926i	2.01508	−	1.48274i
$221$	9.90882	+	12.4253i	0.666540	+	0.835814i
$222$	8.50722	+	5.57871i	0.570967	+	0.374418i
$223$	−0.135132	−	0.592050i	−0.00904908	−	0.0396466i	0.970202	−	0.242298i	$-0.0779012\pi$
$223$	−0.135132	−	0.592050i	−0.00904908	−	0.0396466i	−0.979251	+	0.202652i	$0.935044\pi$
$224$	−14.5581	+	3.47283i	−0.972707	+	0.232038i
$225$	1.21892	−	5.34042i	0.0812610	−	0.356028i
$226$	−5.25471	+	5.05451i	−0.349538	+	0.336221i
$227$	−2.02635			−0.134493			−0.0672467	−	0.997736i	$-0.521421\pi$
$227$	−2.02635			−0.134493			−0.0672467	+	0.997736i	$0.521421\pi$
$228$	1.84797	+	0.498002i	0.122385	+	0.0329810i
$229$	−4.16878	−	8.65657i	−0.275481	−	0.572042i	0.716623	−	0.697461i	$-0.245687\pi$
$229$	−4.16878	−	8.65657i	−0.275481	−	0.572042i	−0.992104	+	0.125419i	$0.959973\pi$
$230$	18.3227	+	2.42559i	1.20817	+	0.159939i
$231$	14.8029	−	3.29551i	0.973958	−	0.216829i
$232$	−24.2438	+	1.30924i	−1.59168	+	0.0859559i
$233$	2.41540	−	10.5826i	0.158238	−	0.693286i	−0.832102	−	0.554623i	$-0.812862\pi$
$233$	2.41540	−	10.5826i	0.158238	−	0.693286i	0.990340	−	0.138663i	$-0.0442805\pi$
$234$	9.34079	−	0.869166i	0.610627	−	0.0568192i
$235$	−0.199409	−	0.414077i	−0.0130080	−	0.0270114i
$236$	−14.3741	+	10.5768i	−0.935677	+	0.688493i
$237$	3.91490	−	8.12938i	0.254300	−	0.528060i
$238$	8.38535	+	3.16930i	0.543541	+	0.205436i
$239$	0.797973	+	1.65701i	0.0516166	+	0.107183i	0.925182	−	0.379524i	$-0.123912\pi$
$239$	0.797973	+	1.65701i	0.0516166	+	0.107183i	−0.873565	+	0.486707i	$0.838198\pi$
$240$	6.50598	−	11.1945i	0.419959	−	0.722601i
$241$	28.1963	−	6.43562i	1.81628	−	0.414554i	0.827198	−	0.561910i	$-0.189933\pi$
$241$	28.1963	−	6.43562i	1.81628	−	0.414554i	0.989084	+	0.147356i	$0.0470762\pi$
$242$	−29.3660	+	9.63985i	−1.88772	+	0.619673i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	9.13730	+	0.355004i	0.584956	+	0.0227268i
$245$	17.8652	−	13.9372i	1.14137	−	0.890414i
$246$	0.245174	+	0.254884i	0.0156317	+	0.0162508i
$247$	−4.96299	−	3.95785i	−0.315787	−	0.251832i
$248$	1.09088	+	3.81735i	0.0692710	+	0.242402i
$249$	−3.60473	−	15.7934i	−0.228441	−	1.00086i
$250$	0.682117	+	2.07794i	0.0431409	+	0.131421i
$251$	−23.4801	+	11.3074i	−1.48205	+	0.713718i	−0.987818	−	0.155611i	$-0.950265\pi$
$251$	−23.4801	+	11.3074i	−1.48205	+	0.713718i	−0.494233	+	0.869329i	$0.664551\pi$
$252$	4.27873	−	3.11327i	0.269535	−	0.196118i
$253$	−20.8509	−	10.0413i	−1.31088	−	0.631289i
$254$	0.315568	−	2.38378i	0.0198005	−	0.149572i
$255$	−6.98709	+	3.36480i	−0.437548	+	0.210712i
$256$	11.7910	−	10.8154i	0.736938	−	0.675961i
$257$	12.7359	+	2.90689i	0.794444	+	0.181327i	0.600436	−	0.799673i	$-0.294994\pi$
$257$	12.7359	+	2.90689i	0.794444	+	0.181327i	0.194009	+	0.981000i	$0.437851\pi$
$258$	−8.40020	+	0.781644i	−0.522974	+	0.0486630i
$259$	−17.1032	−	8.34939i	−1.06274	−	0.518806i
$260$	−34.5893	+	25.4516i	−2.14514	+	1.57844i
$261$	7.73388	−	3.72444i	0.478715	−	0.230537i
$262$	−6.38977	−	10.6216i	−0.394761	−	0.656205i
$263$			2.66924i			0.164592i	0.996608	+	0.0822961i	$0.0262253\pi$
$263$			2.66924i			0.164592i	−0.996608	+	0.0822961i	$0.973775\pi$
$264$	−12.1118	+	10.7770i	−0.745430	+	0.663281i
$265$	2.62577	+	0.599315i	0.161300	+	0.0368156i
$266$	−3.54705	−	0.488869i	−0.217483	−	0.0299745i
$267$	0.292001	−	0.0666473i	0.0178702	−	0.00407875i
$268$	−4.09076	−	21.7910i	−0.249883	−	1.33110i
$269$	9.89199	−	7.88860i	0.603125	−	0.480976i	−0.273681	−	0.961821i	$-0.588241\pi$
$269$	9.89199	−	7.88860i	0.603125	−	0.480976i	0.876806	+	0.480844i	$0.159670\pi$
$270$	−0.600763	+	4.53813i	−0.0365613	+	0.276182i
$271$	2.14999	+	9.41971i	0.130602	+	0.572207i	0.997304	+	0.0733799i	$0.0233786\pi$
$271$	2.14999	+	9.41971i	0.130602	+	0.572207i	−0.866702	+	0.498827i	$0.833764\pi$
$272$	−9.48025	+	1.40115i	−0.574825	+	0.0849571i
$273$	−17.1311	+	3.81384i	−1.03682	+	0.230824i
$274$	−11.5956	−	19.2752i	−0.700518	−	1.16446i
$275$		−	31.3981i		−	1.89338i
$276$	−8.06894	−	0.313495i	−0.485693	−	0.0188702i
$277$	3.61273	−	15.8284i	0.217068	−	0.951037i	−0.742563	−	0.669776i	$-0.766390\pi$
$277$	3.61273	−	15.8284i	0.217068	−	0.951037i	0.959631	−	0.281261i	$-0.0907528\pi$
$278$	2.55211	−	6.86309i	0.153066	−	0.411621i
$279$	−0.875171	−	1.09743i	−0.0523951	−	0.0657014i
$280$	−9.43720	+	22.3090i	−0.563981	+	1.33322i
$281$	18.0935	−	22.6885i	1.07937	−	1.35348i	0.148170	−	0.988962i	$-0.452662\pi$
$281$	18.0935	−	22.6885i	1.07937	−	1.35348i	0.931196	−	0.364519i	$-0.118767\pi$
$282$	0.103508	+	0.172060i	0.00616382	+	0.0102460i
$283$	8.12843	−	10.1927i	0.483185	−	0.605895i	−0.479159	−	0.877728i	$-0.659058\pi$
$283$	8.12843	−	10.1927i	0.483185	−	0.605895i	0.962344	+	0.271833i	$0.0876298\pi$
$284$	5.71732	−	2.48470i	0.339261	−	0.147440i
$285$	2.42179	−	1.93131i	0.143454	−	0.114401i
$286$	51.0898	−	16.7710i	3.02100	−	0.991692i
$287$	−0.515078	−	0.415285i	−0.0304041	−	0.0245135i
$288$	−2.37709	+	5.13317i	−0.140071	+	0.302475i
$289$	−10.1450	−	4.88557i	−0.596765	−	0.287387i
$290$	−21.5482	+	32.8598i	−1.26535	+	1.92959i
$291$	1.63016	−	3.38506i	0.0955617	−	0.198436i
$292$	18.5603	−	21.5051i	1.08616	−	1.25849i
$293$			23.5262i			1.37441i	0.726462	+	0.687206i	$0.241163\pi$
$293$			23.5262i			1.37441i	−0.726462	+	0.687206i	$0.758837\pi$
$294$	−7.20755	+	6.78611i	−0.420353	+	0.395774i
$295$			28.8834i			1.68166i
$296$	20.3169	−	1.09718i	1.18089	−	0.0637721i
$297$	2.48699	−	5.16429i	0.144310	−	0.299663i
$298$	−7.72142	−	5.06341i	−0.447290	−	0.293315i
$299$	24.1304	+	11.6206i	1.39550	+	0.672035i
$300$	−4.36663	−	10.0477i	−0.252108	−	0.580103i
$301$	15.4061	−	3.42980i	0.887991	−	0.197690i
$302$	−7.33289	−	22.3383i	−0.421960	−	1.28542i
$303$	−0.00793894	+	0.00633109i	−0.000456080	+	0.000363712i
$304$	3.56719	−	1.38824i	0.204592	−	0.0796208i
$305$	9.22739	−	11.5708i	0.528359	−	0.662541i
$306$	2.90332	−	1.74658i	0.165972	−	0.0998456i
$307$	0.698915	−	0.876411i	0.0398892	−	0.0500194i	−0.761487	−	0.648180i	$-0.775530\pi$
$307$	0.698915	−	0.876411i	0.0398892	−	0.0500194i	0.801376	+	0.598161i	$0.204102\pi$
$308$	19.9396	−	22.8551i	1.13616	−	1.30229i
$309$	3.39434	+	4.25636i	0.193097	+	0.242136i
$310$	6.02266	+	2.23959i	0.342064	+	0.127200i
$311$	−3.23345	+	14.1667i	−0.183352	+	0.803318i	0.796668	+	0.604417i	$0.206594\pi$
$311$	−3.23345	+	14.1667i	−0.183352	+	0.803318i	−0.980020	+	0.198900i	$0.936263\pi$
$312$	14.0168	−	12.4721i	0.793544	−	0.706093i
$313$			23.7990i			1.34520i	0.740006	+	0.672601i	$0.234823\pi$
$313$			23.7990i			1.34520i	−0.740006	+	0.672601i	$0.765177\pi$
$314$	15.3975	−	9.26288i	0.868932	−	0.522735i
$315$	0.0457785	−	8.56401i	0.00257932	−	0.482527i
$316$	−3.32953	−	17.7360i	−0.187301	−	0.997730i
$317$	1.39759	+	6.12326i	0.0784967	+	0.343916i	0.998891	−	0.0470740i	$-0.0149897\pi$
$317$	1.39759	+	6.12326i	0.0784967	+	0.343916i	−0.920395	+	0.390990i	$0.872133\pi$
$318$	−1.16652	−	0.154426i	−0.0654152	−	0.00865975i
$319$	38.4682	−	30.6774i	2.15381	−	1.71760i
$320$	−2.78875	−	25.7449i	−0.155896	−	1.43918i
$321$	−7.46514	+	1.70387i	−0.416664	+	0.0951008i
$322$	15.0493	−	1.31924i	0.838663	−	0.0735185i
$323$	−2.23519	−	0.510167i	−0.124369	−	0.0283864i
$324$	0.0776457	−	1.99849i	0.00431365	−	0.111027i
$325$			36.3365i			2.01559i
$326$	−4.57910	+	2.75471i	−0.253613	+	0.152569i
$327$	−9.59186	+	4.61919i	−0.530431	+	0.255442i
$328$	0.697072	+	0.119979i	0.0384894	+	0.00662474i
$329$	−0.232642	−	0.294944i	−0.0128260	−	0.0162608i
$330$	2.43107	+	26.1263i	0.133826	+	1.43821i
$331$	−0.575043	−	0.131250i	−0.0316072	−	0.00721414i	0.206688	−	0.978407i	$-0.433731\pi$
$331$	−0.575043	−	0.131250i	−0.0316072	−	0.00721414i	−0.238295	+	0.971193i	$0.576589\pi$
$332$	−24.5273	−	21.1687i	−1.34611	−	1.16178i
$333$	−6.48118	+	3.12117i	−0.355166	+	0.171039i
$334$	2.63435	+	0.348739i	0.144145	+	0.0190821i
$335$	−32.3305	−	15.5695i	−1.76640	−	0.850655i
$336$	3.20232	−	10.0869i	0.174701	−	0.550284i
$337$	−20.1019	+	9.68055i	−1.09502	+	0.527333i	−0.892089	−	0.451860i	$-0.850760\pi$
$337$	−20.1019	+	9.68055i	−1.09502	+	0.527333i	−0.202929	+	0.979193i	$0.565046\pi$
$338$	−41.6577	+	13.6748i	−2.26588	+	0.743810i
$339$	−1.14722	−	5.02632i	−0.0623087	−	0.272992i
$340$	−7.26705	+	13.7024i	−0.394111	+	0.743116i
$341$	−6.29039	−	5.01642i	−0.340644	−	0.271654i
$342$	−0.975349	+	0.938190i	−0.0527408	+	0.0507315i
$343$	11.7779	−	14.2927i	0.635947	−	0.771733i
$344$	−12.6053	+	11.2162i	−0.679634	+	0.604736i
$345$	−8.14849	+	10.2179i	−0.438700	+	0.550113i
$346$	−4.58885	−	13.9791i	−0.246698	−	0.751519i
$347$	20.4736	−	4.67295i	1.09908	−	0.250857i	0.365737	−	0.930718i	$-0.380817\pi$
$347$	20.4736	−	4.67295i	1.09908	−	0.250857i	0.733341	+	0.679861i	$0.237960\pi$
$348$	8.04376	−	15.1669i	0.431191	−	0.813032i
$349$	9.88809	+	20.5328i	0.529297	+	1.09910i	0.978610	+	0.205723i	$0.0659545\pi$
$349$	9.88809	+	20.5328i	0.529297	+	1.09910i	−0.449313	+	0.893374i	$0.648331\pi$
$350$	10.4714	+	17.6190i	0.559722	+	0.941777i
$351$	−2.87815	+	5.97655i	−0.153624	+	0.319005i
$352$	−6.73646	+	31.7172i	−0.359054	+	1.69053i
$353$	14.0687	+	29.2140i	0.748803	+	1.55491i	0.829716	+	0.558185i	$0.188502\pi$
$353$	14.0687	+	29.2140i	0.748803	+	1.55491i	−0.0809129	+	0.996721i	$0.525784\pi$
$354$	−1.16917	−	12.5649i	−0.0621406	−	0.667815i
$355$	2.24509	−	9.83640i	0.119157	−	0.522062i
$356$	0.391384	−	0.453480i	0.0207433	−	0.0240344i
$357$	−4.97686	+	3.92558i	−0.263403	+	0.207764i
$358$	−0.995263	+	7.51815i	−0.0526013	+	0.397347i
$359$	15.2957	+	31.7618i	0.807275	+	1.67632i	0.734137	+	0.679001i	$0.237587\pi$
$359$	15.2957	+	31.7618i	0.807275	+	1.67632i	0.0731374	+	0.997322i	$0.476699\pi$
$360$	4.41143	+	8.02255i	0.232503	+	0.422826i
$361$	−18.0842			−0.951802
$362$	−10.9727	−	11.4073i	−0.576712	−	0.599554i
$363$	4.86321	−	21.3071i	0.255252	−	1.11833i
$364$	−23.0758	+	26.4498i	−1.20950	+	1.38634i
$365$	−10.2306	−	44.8231i	−0.535493	−	2.34615i
$366$	−3.54572	+	5.40703i	−0.185338	+	0.282630i
$367$	7.66889	+	9.61649i	0.400313	+	0.501977i	0.940606	−	0.339500i	$-0.110258\pi$
$367$	7.66889	+	9.61649i	0.400313	+	0.501977i	−0.540293	+	0.841477i	$0.681687\pi$
$368$	−13.3698	+	9.05937i	−0.696949	+	0.472252i
$369$	−0.243806	+	0.0556472i	−0.0126920	+	0.00289688i
$370$	18.0579	−	27.5373i	0.938787	−	1.43160i
$371$	2.20137	+	0.0117673i	0.114289	+	0.000610928i
$372$	−2.71063	−	0.730475i	−0.140540	−	0.0378734i
$373$	10.4491			0.541033			0.270516	−	0.962715i	$-0.412806\pi$
$373$	10.4491			0.541033			0.270516	+	0.962715i	$0.412806\pi$
$374$	13.9966	−	13.4634i	0.723749	−	0.696176i
$375$	−1.50769	−	0.344121i	−0.0778570	−	0.0177704i
$376$	0.370689	+	0.154478i	0.0191168	+	0.00796662i
$377$	−44.5186	+	35.5024i	−2.29282	+	1.82847i
$378$	0.326746	+	3.72736i	0.0168060	+	0.191715i
$379$	−16.6347	−	13.2657i	−0.854467	−	0.681415i	0.0949328	−	0.995484i	$-0.469736\pi$
$379$	−16.6347	−	13.2657i	−0.854467	−	0.681415i	−0.949400	+	0.314069i	$0.898308\pi$
$380$	1.61200	−	5.98177i	0.0826939	−	0.306858i
$381$	1.32934	+	1.06012i	0.0681043	+	0.0543114i
$382$	−34.1000	−	12.6804i	−1.74471	−	0.648788i
$383$	3.12417	+	3.91758i	0.159638	+	0.200179i	0.855217	−	0.518270i	$-0.173424\pi$
$383$	3.12417	+	3.91758i	0.159638	+	0.200179i	−0.695580	+	0.718449i	$0.744852\pi$
$384$	2.25528	+	11.0866i	0.115089	+	0.565763i
$385$	−10.6674	−	47.9160i	−0.543659	−	2.44202i
$386$	8.94791	−	24.0625i	0.455437	−	1.22475i
$387$	2.58833	−	5.37473i	0.131572	−	0.273213i
$388$	−1.38641	−	7.38526i	−0.0703843	−	0.374930i
$389$	3.61028	+	1.73862i	0.183048	+	0.0881515i	0.523163	−	0.852232i	$-0.324752\pi$
$389$	3.61028	+	1.73862i	0.183048	+	0.0881515i	−0.340115	+	0.940384i	$0.610466\pi$
$390$	−2.81344	−	30.2355i	−0.142464	−	1.53104i
$391$	9.67310			0.489190
$392$	−3.56680	+	19.4751i	−0.180151	+	0.983639i
$393$	8.76492			0.442132
$394$	1.68287	+	18.0855i	0.0847815	+	0.911134i
$395$	−26.3143	−	12.6723i	−1.32401	−	0.637612i
$396$	−2.11513	−	11.2671i	−0.106289	−	0.566191i
$397$	14.3577	−	29.8140i	0.720591	−	1.49632i	−0.141700	−	0.989910i	$-0.545257\pi$
$397$	14.3577	−	29.8140i	0.720591	−	1.49632i	0.862291	−	0.506413i	$-0.169029\pi$
$398$	5.96700	−	16.0463i	0.299099	−	0.804330i
$399$	1.58914	−	1.97101i	0.0795566	−	0.0986742i
$400$	−18.9440	−	11.0098i	−0.947202	−	0.550492i
$401$	−7.57936	−	9.50421i	−0.378495	−	0.474618i	0.555699	−	0.831384i	$-0.312451\pi$
$401$	−7.57936	−	9.50421i	−0.378495	−	0.474618i	−0.934194	+	0.356766i	$0.883879\pi$
$402$	14.6946	+	5.46436i	0.732902	+	0.272537i
$403$	7.27976	+	5.80542i	0.362631	+	0.289188i
$404$	−0.00528434	+	0.0196090i	−0.000262906	+	0.000975585i
$405$	−2.53074	−	2.01820i	−0.125753	−	0.100285i
$406$	−11.3553	+	30.0439i	−0.563555	+	1.49105i
$407$	−32.2373	+	25.7084i	−1.59794	+	1.27432i
$408$	2.60665	−	6.25496i	0.129049	−	0.309667i
$409$	−22.7780	−	5.19894i	−1.12630	−	0.257071i	−0.381508	−	0.924366i	$-0.624595\pi$
$409$	−22.7780	−	5.19894i	−1.12630	−	0.257071i	−0.744794	+	0.667295i	$0.767452\pi$
$410$	0.825044	−	0.793612i	0.0407460	−	0.0391937i
$411$	15.9059			0.784578
$412$	10.5131	+	2.83314i	0.517945	+	0.139579i
$413$	5.13022	+	23.0441i	0.252442	+	1.13393i
$414$	3.13115	−	4.77482i	0.153887	−	0.234670i
$415$	−51.1221	+	11.6683i	−2.50949	+	0.572774i
$416$	7.79599	−	36.7058i	0.382230	−	1.79965i
$417$	3.22819	+	4.04802i	0.158085	+	0.198232i
$418$	−4.25383	+	6.48685i	−0.208062	+	0.317282i
$419$	1.49466	+	6.54852i	0.0730188	+	0.319916i	0.998225	−	0.0595473i	$-0.0189657\pi$
$419$	1.49466	+	6.54852i	0.0730188	+	0.319916i	−0.925207	+	0.379464i	$0.876109\pi$
$420$	−10.0775	−	13.8500i	−0.491730	−	0.675810i
$421$	−2.10545	+	9.22460i	−0.102614	+	0.449579i	0.897352	+	0.441315i	$0.145488\pi$
$421$	−2.10545	+	9.22460i	−0.102614	+	0.449579i	−0.999966	+	0.00826447i	$0.997369\pi$
$422$	22.8765	+	23.7826i	1.11361	+	1.15772i
$423$	−0.141983			−0.00690346
$424$	−2.06219	+	1.13395i	−0.100149	+	0.0550696i
$425$	5.69414	+	11.8240i	0.276206	+	0.573549i
$426$	−0.578494	+	4.36991i	−0.0280281	+	0.211723i
$427$	5.30672	−	10.8705i	0.256810	−	0.526059i
$428$	−10.0059	+	11.5934i	−0.483654	+	0.560390i
$429$	−8.46083	+	37.0693i	−0.408492	+	1.78972i
$430$	2.53013	+	27.1909i	0.122014	+	1.31126i
$431$	1.56913	+	3.25833i	0.0755823	+	0.156948i	0.935336	−	0.353761i	$-0.115097\pi$
$431$	1.56913	+	3.25833i	0.0755823	+	0.156948i	−0.859754	+	0.510709i	$0.829383\pi$
$432$	−2.24380	−	3.31140i	−0.107955	−	0.159320i
$433$	2.60941	−	5.41849i	0.125400	−	0.260396i	−0.828812	−	0.559528i	$-0.810983\pi$
$433$	2.60941	−	5.41849i	0.125400	−	0.260396i	0.954212	+	0.299131i	$0.0966969\pi$
$434$	5.20285	+	0.717079i	0.249745	+	0.0344209i
$435$	−12.0558	−	25.0341i	−0.578030	−	1.20029i
$436$	−9.97619	+	18.8106i	−0.477773	+	0.900864i
$437$	−3.76683	+	0.859753i	−0.180192	+	0.0411276i
$438$	6.26488	+	19.0848i	0.299348	+	0.911906i
$439$	5.99649	−	7.51937i	0.286197	−	0.358880i	−0.617863	−	0.786286i	$-0.712001\pi$
$439$	5.99649	−	7.51937i	0.286197	−	0.358880i	0.904060	+	0.427406i	$0.140573\pi$
$440$	34.8846	+	39.2051i	1.66306	+	1.86903i
$441$	−1.48460	−	6.84076i	−0.0706952	−	0.325750i
$442$	−16.1981	+	15.5810i	−0.770464	+	0.741111i
$443$	−16.4662	−	13.1314i	−0.782333	−	0.623890i	0.148676	−	0.988886i	$-0.452499\pi$
$443$	−16.4662	−	13.1314i	−0.782333	−	0.623890i	−0.931009	+	0.364996i	$0.881070\pi$
$444$	−6.74087	+	12.7102i	−0.319908	+	0.603201i
$445$	−0.215733	−	0.945188i	−0.0102267	−	0.0448062i
$446$	0.815978	−	0.267858i	0.0386377	−	0.0126834i
$447$	5.88252	−	2.83287i	0.278234	−	0.133990i
$448$	−6.79771	−	20.0447i	−0.321162	−	0.947024i
$449$	27.1856	+	13.0919i	1.28297	+	0.617845i	0.946151	−	0.323726i	$-0.104935\pi$
$449$	27.1856	+	13.0919i	1.28297	+	0.617845i	0.336817	+	0.941570i	$0.390650\pi$
$450$	7.67972	+	1.01665i	0.362025	+	0.0479254i
$451$	−1.29147	+	0.621938i	−0.0608128	+	0.0292859i
$452$	−7.80593	−	6.73703i	−0.367160	−	0.316883i
$453$	16.2080	+	3.69937i	0.761518	+	0.173812i
$454$	−0.265507	−	2.85336i	−0.0124609	−	0.133915i
$455$	12.3451	+	55.4523i	0.578750	+	2.59964i
$456$	−0.459116	+	2.66744i	−0.0215001	+	0.124914i
$457$	29.3195	−	14.1195i	1.37151	−	0.660485i	0.404339	−	0.914609i	$-0.367502\pi$
$457$	29.3195	−	14.1195i	1.37151	−	0.660485i	0.967171	+	0.254125i	$0.0817874\pi$
$458$	11.6434	−	7.00444i	0.544058	−	0.327296i
$459$			2.39581i			0.111827i
$460$	−1.01476	+	26.1186i	−0.0473137	+	1.21779i
$461$	9.44453	+	2.15565i	0.439875	+	0.100399i	0.436722	−	0.899596i	$-0.356139\pi$
$461$	9.44453	+	2.15565i	0.439875	+	0.100399i	0.00315306	+	0.999995i	$0.498996\pi$
$462$	6.58009	+	20.4126i	0.306134	+	0.949679i
$463$	3.06250	−	0.698996i	0.142327	−	0.0324851i	−0.150764	−	0.988570i	$-0.548173\pi$
$463$	3.06250	−	0.698996i	0.142327	−	0.0324851i	0.293091	+	0.956085i	$0.405316\pi$
$464$	−5.02018	−	33.9668i	−0.233056	−	1.57687i
$465$	−3.55231	+	2.83287i	−0.164734	+	0.131371i
$466$	15.2181	+	2.01459i	0.704965	+	0.0933242i
$467$	4.55322	+	19.9489i	0.210698	+	0.923127i	0.964094	+	0.265560i	$0.0855570\pi$
$467$	4.55322	+	19.9489i	0.210698	+	0.923127i	−0.753397	+	0.657566i	$0.771586\pi$
$468$	2.44780	+	13.0392i	0.113150	+	0.602736i
$469$	−28.5597	−	6.67938i	−1.31876	−	0.308425i
$470$	0.556946	−	0.335049i	0.0256900	−	0.0154547i
$471$			12.7060i			0.585461i
$472$	−16.7770	−	18.8548i	−0.772222	−	0.867864i
$473$	7.60885	−	33.3365i	0.349855	−	1.53282i
$474$	11.9602	+	4.44752i	0.549349	+	0.204281i
$475$	−3.26830	−	4.09831i	−0.149960	−	0.188043i
$476$	−3.36408	+	12.2229i	−0.154193	+	0.560237i
$477$	0.518775	−	0.650524i	0.0237531	−	0.0297854i
$478$	−2.22873	+	1.34076i	−0.101940	+	0.0613251i
$479$	−10.5250	+	13.1979i	−0.480897	+	0.603026i	−0.961802	−	0.273747i	$-0.911737\pi$
$479$	−10.5250	+	13.1979i	−0.480897	+	0.603026i	0.480904	+	0.876773i	$0.340308\pi$
$480$	16.6158	+	7.69448i	0.758402	+	0.351203i
$481$	37.3077	−	29.7519i	1.70108	−	1.35657i
$482$	12.7567	+	38.8608i	0.581050	+	1.77006i
$483$	−4.68623	+	9.59946i	−0.213231	+	0.436791i
$484$	−17.4219	−	40.0881i	−0.791905	−	1.82218i
$485$	−10.9572	−	5.27672i	−0.497542	−	0.239604i
$486$	1.18262	+	0.775514i	0.0536445	+	0.0351780i
$487$	−8.63256	+	17.9257i	−0.391179	+	0.812291i	0.608644	+	0.793444i	$0.291714\pi$
$487$	−8.63256	+	17.9257i	−0.391179	+	0.812291i	−0.999822	+	0.0188475i	$0.994000\pi$
$488$	0.697345	+	12.9130i	0.0315673	+	0.584545i
$489$		−	3.77866i		−	0.170877i
$490$	21.9662	+	23.3304i	0.992332	+	1.05396i
$491$			8.97975i			0.405251i	0.979256	+	0.202625i	$0.0649473\pi$
$491$			8.97975i			0.405251i	−0.979256	+	0.202625i	$0.935053\pi$
$492$	−0.326786	+	0.378634i	−0.0147326	+	0.0170701i
$493$	−8.92304	+	18.5289i	−0.401874	+	0.834499i
$494$	4.92288	−	7.50712i	0.221491	−	0.337761i
$495$	−16.7165	−	8.05024i	−0.751350	−	0.361831i
$496$	−5.23240	+	2.03628i	−0.234942	+	0.0914317i
$497$	0.0440815	−	8.24655i	0.00197733	−	0.369909i
$498$	21.7668	−	7.14530i	0.975394	−	0.320189i
$499$	−7.31435	+	5.83300i	−0.327435	+	0.261121i	−0.773384	−	0.633937i	$-0.781438\pi$
$499$	−7.31435	+	5.83300i	−0.327435	+	0.261121i	0.445949	+	0.895058i	$0.352866\pi$
$500$	−2.83664	+	1.23278i	−0.126858	+	0.0551315i
$501$	−1.17155	+	1.46908i	−0.0523409	+	0.0656335i
$502$	−18.9989	−	31.5815i	−0.847961	−	1.40955i
$503$	22.1701	−	27.8004i	0.988516	−	1.23956i	0.0176732	−	0.999844i	$-0.494374\pi$
$503$	22.1701	−	27.8004i	0.988516	−	1.23956i	0.970843	−	0.239716i	$-0.0770544\pi$
$504$	4.94452	+	5.61709i	0.220247	+	0.250205i
$505$	0.0204933	+	0.0256978i	0.000911942	+	0.00114354i
$506$	11.4074	−	30.6765i	0.507119	−	1.36374i
$507$	6.89879	−	30.2256i	0.306386	−	1.34237i
$508$	3.39802	+	0.132020i	0.150763	+	0.00585746i
$509$			39.2895i			1.74148i	0.491746	+	0.870739i	$0.336359\pi$
$509$			39.2895i			1.74148i	−0.491746	+	0.870739i	$0.663641\pi$
$510$	−5.65358	−	9.39785i	−0.250345	−	0.416144i
$511$	−16.1237	−	33.9441i	−0.713268	−	1.50160i
$512$	16.7744	+	15.1862i	0.741331	+	0.671140i
$513$	−0.212941	−	0.932957i	−0.00940159	−	0.0411911i
$514$	−2.42452	+	18.3147i	−0.106941	+	0.807827i
$515$	13.7776	−	10.9873i	0.607113	−	0.484156i
$516$	−2.20131	−	11.7262i	−0.0969074	−	0.516216i
$517$	−0.793434	+	0.181096i	−0.0348952	+	0.00796459i
$518$	9.51604	−	25.1775i	0.418111	−	1.10624i
$519$	10.1428	+	2.31503i	0.445219	+	0.101618i
$520$	−40.3714	−	45.3714i	−1.77040	−	1.98967i
$521$		−	17.6641i		−	0.773879i	−0.922105	−	0.386940i	$-0.873532\pi$
$521$		−	17.6641i		−	0.773879i	0.922105	−	0.386940i	$-0.126468\pi$
$522$	6.25785	+	10.4023i	0.273898	+	0.455297i
$523$	−30.2692	+	14.5769i	−1.32358	+	0.637403i	−0.956213	−	0.292672i	$-0.905456\pi$
$523$	−30.2692	+	14.5769i	−1.32358	+	0.637403i	−0.367369	+	0.930075i	$0.619741\pi$
$524$	14.1194	−	10.3894i	0.616808	−	0.453861i
$525$	−14.4926	−	0.0774693i	−0.632508	−	0.00338104i
$526$	−3.75863	+	0.349743i	−0.163884	+	0.0152495i
$527$	3.27860	+	0.748319i	0.142818	+	0.0325973i
$528$	−16.7625	−	15.6429i	−0.729493	−	0.680771i
$529$	−6.03514	+	2.90637i	−0.262397	+	0.126364i
$530$	−0.499866	+	3.77595i	−0.0217128	+	0.164017i
$531$	8.03942	+	3.87158i	0.348881	+	0.168012i
$532$	0.223632	−	5.05876i	0.00969566	−	0.219325i
$533$	1.49459	−	0.719758i	0.0647380	−	0.0311762i
$534$	0.132108	+	0.402443i	0.00571688	+	0.0174154i
$535$	5.51532	+	24.1642i	0.238448	+	1.04471i
$536$	30.1486	−	8.61554i	1.30222	−	0.372135i
$537$	−4.19258	−	3.34347i	−0.180923	−	0.144282i
$538$	12.4043	+	12.8956i	0.534787	+	0.555968i
$539$	−17.0215	−	36.3341i	−0.733167	−	1.56502i
$540$	−6.46899	−	0.251334i	−0.278381	−	0.0108157i
$541$	−2.99559	+	3.75635i	−0.128791	+	0.161498i	−0.842046	−	0.539406i	$-0.818649\pi$
$541$	−2.99559	+	3.75635i	−0.128791	+	0.161498i	0.713255	+	0.700905i	$0.247220\pi$
$542$	−12.9825	+	4.26171i	−0.557645	+	0.183056i
$543$	10.9115	−	2.49048i	0.468257	−	0.106877i
$544$	−3.21517	−	13.1658i	−0.137849	−	0.564481i
$545$	14.9520	+	31.0482i	0.640475	+	1.32996i
$546$	−7.61503	−	23.6231i	−0.325893	−	1.01098i
$547$	−16.6899	+	34.6569i	−0.713608	+	1.48182i	0.155832	+	0.987784i	$0.450194\pi$
$547$	−16.6899	+	34.6569i	−0.713608	+	1.48182i	−0.869440	+	0.494039i	$0.835520\pi$
$548$	25.6227	−	18.8537i	1.09455	−	0.805392i
$549$	−1.98376	−	4.11932i	−0.0846648	−	0.175808i
$550$	44.2127	−	4.11402i	1.88524	−	0.175422i
$551$	1.82788	−	8.00846i	0.0778703	−	0.341172i
$552$	−0.615809	−	11.4032i	−0.0262106	−	0.485352i
$553$	−23.2452	−	5.43645i	−0.988485	−	0.231181i
$554$	22.7618	+	3.01324i	0.967058	+	0.128020i
$555$	10.1030	+	20.9792i	0.428850	+	0.890516i
$556$	9.99853	+	2.69446i	0.424032	+	0.114270i
$557$	−21.2655			−0.901049			−0.450525	−	0.892764i	$-0.648763\pi$
$557$	−21.2655			−0.901049			−0.450525	+	0.892764i	$0.648763\pi$
$558$	1.43065	−	1.37615i	0.0605644	−	0.0582570i
$559$	−8.80559	+	38.5798i	−0.372437	+	1.63175i
$560$	−32.6506	−	10.3657i	−1.37974	−	0.438032i
$561$	3.05579	+	13.3883i	0.129016	+	0.565255i
$562$	34.3191	+	22.5051i	1.44766	+	0.949322i
$563$	2.58881	+	3.24627i	0.109105	+	0.136814i	0.833386	−	0.552692i	$-0.186399\pi$
$563$	2.58881	+	3.24627i	0.109105	+	0.136814i	−0.724280	+	0.689506i	$0.757828\pi$
$564$	−0.228720	+	0.168297i	−0.00963085	+	0.00708660i
$565$	−16.2699	+	3.71349i	−0.684479	+	0.156228i
$566$	15.4177	+	10.1104i	0.648056	+	0.424970i
$567$	−2.37757	−	1.16067i	−0.0998485	−	0.0487437i
$568$	4.24790	+	7.72517i	0.178238	+	0.324141i
$569$	−17.8837			−0.749723			−0.374862	−	0.927081i	$-0.622310\pi$
$569$	−17.8837			−0.749723			−0.374862	+	0.927081i	$0.622310\pi$
$570$	3.03686	+	3.15714i	0.127200	+	0.132238i
$571$	−28.8533	−	6.58558i	−1.20747	−	0.275598i	−0.429017	−	0.903297i	$-0.641140\pi$
$571$	−28.8533	−	6.58558i	−1.20747	−	0.275598i	−0.778456	+	0.627699i	$0.783997\pi$
$572$	30.3100	+	69.7437i	1.26732	+	2.91613i
$573$	20.1130	−	16.0396i	0.840232	−	0.670063i
$574$	0.517286	−	0.779711i	0.0215911	−	0.0325445i
$575$	17.2914	+	13.7894i	0.721100	+	0.575058i
$576$	−7.53964	−	2.67466i	−0.314152	−	0.111444i
$577$	11.4032	+	9.09374i	0.474721	+	0.378577i	0.831422	−	0.555641i	$-0.187527\pi$
$577$	11.4032	+	9.09374i	0.474721	+	0.378577i	−0.356701	+	0.934219i	$0.616099\pi$
$578$	5.55025	−	14.9256i	0.230860	−	0.620824i
$579$	11.3183	+	14.1927i	0.470372	+	0.589827i
$580$	−49.0943	−	26.0372i	−2.03853	−	1.08113i
$581$	−38.7143	+	18.3895i	−1.60614	+	0.762927i
$582$	4.98020	+	1.85194i	0.206436	+	0.0767655i
$583$	2.06930	−	4.29696i	0.0857018	−	0.177962i
$584$	32.7139	+	23.3176i	1.35371	+	0.964890i
$585$	19.3457	+	9.31640i	0.799847	+	0.385186i
$586$	−33.1279	+	3.08257i	−1.36850	+	0.127340i
$587$	−2.66101			−0.109831			−0.0549157	−	0.998491i	$-0.517489\pi$
$587$	−2.66101			−0.109831			−0.0549157	+	0.998491i	$0.517489\pi$
$588$	−10.5001	−	9.26000i	−0.433017	−	0.381876i
$589$	−1.34324			−0.0553471
$590$	−40.6717	+	3.78452i	−1.67443	+	0.155806i
$591$	−11.5717	−	5.57264i	−0.475996	−	0.229228i
$592$	4.20704	+	28.4651i	0.172908	+	1.16991i
$593$	−9.34988	+	19.4152i	−0.383954	+	0.797288i	0.616001	+	0.787746i	$0.288752\pi$
$593$	−9.34988	+	19.4152i	−0.383954	+	0.797288i	−0.999954	+	0.00954257i	$0.996962\pi$
$594$	7.59786	+	2.82535i	0.311744	+	0.115925i
$595$	12.7068	+	16.1098i	0.520930	+	0.660437i
$596$	6.11822	−	11.5362i	0.250612	−	0.472541i
$597$	7.54771	+	9.46453i	0.308907	+	0.387357i
$598$	−13.2016	+	35.5013i	−0.539852	+	1.45176i
$599$	16.0122	+	12.7693i	0.654242	+	0.521741i	0.893413	−	0.449237i	$-0.148304\pi$
$599$	16.0122	+	12.7693i	0.654242	+	0.521741i	−0.239170	+	0.970978i	$0.576875\pi$
$600$	13.5763	−	7.46531i	0.554250	−	0.304770i
$601$	2.31153	+	1.84338i	0.0942891	+	0.0751930i	0.669500	−	0.742812i	$-0.266509\pi$
$601$	2.31153	+	1.84338i	0.0942891	+	0.0751930i	−0.575211	+	0.818005i	$0.695080\pi$
$602$	6.84822	+	21.2443i	0.279112	+	0.865855i
$603$	−8.66726	+	6.91191i	−0.352958	+	0.281475i
$604$	30.4944	−	13.2526i	1.24080	−	0.539240i
$605$	−68.9698	−	15.7419i	−2.80402	−	0.639999i
$606$	−0.00995522	−	0.0103495i	−0.000404403	−	0.000420420i
$607$	19.8271			0.804758			0.402379	−	0.915473i	$-0.368183\pi$
$607$	19.8271			0.804758			0.402379	+	0.915473i	$0.368183\pi$
$608$	2.42222	+	4.84117i	0.0982339	+	0.196336i
$609$	−14.0650	−	17.8316i	−0.569941	−	0.722574i
$610$	17.5022	+	11.4773i	0.708644	+	0.464702i
$611$	0.918227	−	0.209579i	0.0371475	−	0.00847867i
$612$	2.83983	+	3.85940i	0.114793	+	0.156007i
$613$	7.45094	+	9.34319i	0.300941	+	0.377368i	0.909192	−	0.416377i	$-0.136700\pi$
$613$	7.45094	+	9.34319i	0.300941	+	0.377368i	−0.608251	+	0.793744i	$0.708129\pi$
$614$	1.32568	+	0.869329i	0.0535000	+	0.0350833i
$615$	0.180126	+	0.789185i	0.00726340	+	0.0318230i
$616$	34.7956	+	25.0829i	1.40195	+	1.01062i
$617$	7.14632	−	31.3101i	0.287700	−	1.26050i	−0.599973	−	0.800020i	$-0.704822\pi$
$617$	7.14632	−	31.3101i	0.287700	−	1.26050i	0.887673	−	0.460475i	$-0.152321\pi$
$618$	−5.54876	+	5.33737i	−0.223204	+	0.214700i
$619$	43.0410			1.72996			0.864981	−	0.501804i	$-0.167330\pi$
$619$	43.0410			1.72996			0.864981	+	0.501804i	$0.167330\pi$
$620$	−2.36450	+	8.77413i	−0.0949606	+	0.352378i
$621$	1.75181	+	3.63767i	0.0702977	+	0.145975i
$622$	−20.3722	−	2.69690i	−0.816850	−	0.108136i
$623$	−0.340001	−	0.715782i	−0.0136219	−	0.0286772i
$624$	19.3989	+	18.1033i	0.776578	+	0.724711i
$625$	4.98068	−	21.8218i	0.199227	−	0.872871i
$626$	−33.5122	+	3.11833i	−1.33942	+	0.124633i
$627$	−2.37993	−	4.94197i	−0.0950452	−	0.197363i
$628$	15.0608	+	20.4680i	0.600993	+	0.816763i
$629$	7.47773	−	15.5277i	0.298157	−	0.619129i
$630$	12.0652	−	1.05766i	0.480691	−	0.0421381i
$631$	11.1635	+	23.1813i	0.444412	+	0.922832i	0.996054	+	0.0887505i	$0.0282874\pi$
$631$	11.1635	+	23.1813i	0.444412	+	0.922832i	−0.551642	+	0.834081i	$0.685998\pi$
$632$	24.5384	−	7.01232i	0.976085	−	0.278935i
$633$	−22.7489	+	5.19229i	−0.904187	+	0.206375i
$634$	−8.43922	+	2.77031i	−0.335164	+	0.110023i
$635$	3.43153	−	4.30300i	0.136176	−	0.170759i
$636$	0.0646052	−	1.66285i	0.00256176	−	0.0659362i
$637$	19.6987	+	42.0488i	0.780490	+	1.66604i
$638$	48.2381	+	50.1487i	1.90977	+	1.98540i
$639$	−2.43693	−	1.94339i	−0.0964034	−	0.0768792i
$640$	35.8868	−	7.30021i	1.41855	−	0.288566i
$641$	−2.07043	−	9.07114i	−0.0817770	−	0.358288i	0.917439	−	0.397876i	$-0.130253\pi$
$641$	−2.07043	−	9.07114i	−0.0817770	−	0.358288i	−0.999216	+	0.0395878i	$0.987396\pi$
$642$	−3.37741	−	10.2886i	−0.133296	−	0.406060i
$643$	10.9356	−	5.26631i	0.431258	−	0.207683i	−0.205645	−	0.978627i	$-0.565929\pi$
$643$	10.9356	−	5.26631i	0.431258	−	0.207683i	0.636903	+	0.770944i	$0.280215\pi$
$644$	3.82953	+	21.0185i	0.150905	+	0.828244i
$645$	−17.3977	−	8.37827i	−0.685032	−	0.329894i
$646$	0.425511	−	3.21428i	0.0167415	−	0.126464i
$647$	−13.2754	+	6.39308i	−0.521908	+	0.251338i	−0.676240	−	0.736681i	$-0.736392\pi$
$647$	−13.2754	+	6.39308i	−0.521908	+	0.251338i	0.154332	+	0.988019i	$0.450678\pi$
$648$	2.82431	−	0.152522i	0.110949	−	0.00599163i
$649$	49.8642	+	11.3812i	1.95734	+	0.446750i
$650$	−51.1666	+	4.76108i	−2.00692	+	0.186745i
$651$	−2.33097	+	2.89111i	−0.0913580	+	0.113311i
$652$	−4.47898	−	6.08703i	−0.175410	−	0.238387i
$653$	29.9334	−	14.4152i	1.17138	−	0.564109i	0.255995	−	0.966678i	$-0.417597\pi$
$653$	29.9334	−	14.4152i	1.17138	−	0.564109i	0.915390	+	0.402569i	$0.131883\pi$
$654$	−7.76123	−	12.9013i	−0.303488	−	0.504483i
$655$		−	28.3715i		−	1.10857i
$656$	−0.0776108	+	0.997289i	−0.00303019	+	0.0389376i
$657$	−13.8474	−	3.16057i	−0.540237	−	0.123306i
$658$	0.384838	−	0.366236i	0.0150025	−	0.0142774i
$659$	11.2559	−	2.56908i	0.438466	−	0.100077i	0.00241120	−	0.999997i	$-0.499232\pi$
$659$	11.2559	−	2.56908i	0.438466	−	0.100077i	0.436055	+	0.899920i	$0.356375\pi$
$660$	−36.4707	+	6.84653i	−1.41962	+	0.266501i
$661$	21.3011	−	16.9870i	0.828515	−	0.660719i	−0.114517	−	0.993421i	$-0.536532\pi$
$661$	21.3011	−	16.9870i	0.828515	−	0.660719i	0.943032	+	0.332703i	$0.107961\pi$
$662$	0.109470	−	0.826933i	0.00425469	−	0.0321396i
$663$	−3.53642	−	15.4941i	−0.137343	−	0.601740i
$664$	26.5945	−	37.3113i	1.03207	−	1.44796i
$665$	−6.38005	−	5.14395i	−0.247408	−	0.199474i
$666$	−5.24423	−	8.71739i	−0.203210	−	0.337792i
$667$			34.6578i			1.34196i
$668$	−0.145898	+	3.75520i	−0.00564495	+	0.145293i
$669$	−0.135132	+	0.592050i	−0.00522449	+	0.0228900i
$670$	17.6878	−	47.5656i	0.683338	−	1.83762i
$671$	−16.3398	−	20.4894i	−0.630790	−	0.790986i
$672$	14.6232	+	3.18763i	0.564104	+	0.122966i
$673$	−19.4403	+	24.3774i	−0.749368	+	0.939678i	−0.999594	−	0.0285095i	$-0.990924\pi$
$673$	−19.4403	+	24.3774i	−0.749368	+	0.939678i	0.250225	+	0.968188i	$0.419495\pi$
$674$	−16.2654	−	27.0376i	−0.626519	−	1.04145i
$675$	−3.41533	+	4.28268i	−0.131456	+	0.164841i
$676$	−24.7142	−	56.8676i	−0.950545	−	2.18722i
$677$	23.2490	−	18.5405i	0.893532	−	0.712568i	−0.0648995	−	0.997892i	$-0.520673\pi$
$677$	23.2490	−	18.5405i	0.893532	−	0.712568i	0.958431	+	0.285324i	$0.0921013\pi$
$678$	6.92740	−	2.27403i	0.266045	−	0.0873335i
$679$	−9.67926	−	2.26373i	−0.371456	−	0.0868739i
$680$	−20.2469	−	8.43757i	−0.776434	−	0.323566i
$681$	1.82568	+	0.879199i	0.0699601	+	0.0336910i
$682$	6.23956	−	9.51499i	0.238925	−	0.364348i
$683$	16.4967	−	34.2558i	0.631230	−	1.31076i	−0.302624	−	0.953110i	$-0.597863\pi$
$683$	16.4967	−	34.2558i	0.631230	−	1.31076i	0.933855	−	0.357653i	$-0.116423\pi$
$684$	−1.44889	−	1.25049i	−0.0553998	−	0.0478137i
$685$		−	51.4862i		−	1.96719i
$686$	21.6692	+	14.7121i	0.827334	+	0.561710i
$687$			9.60807i			0.366571i
$688$	−17.4455	−	16.2803i	−0.665103	−	0.620682i
$689$	−2.39477	+	4.97279i	−0.0912335	+	0.189448i
$690$	−15.4558	−	10.1353i	−0.588392	−	0.385845i
$691$	12.0134	+	5.78534i	0.457011	+	0.220085i	0.648203	−	0.761468i	$-0.275521\pi$
$691$	12.0134	+	5.78534i	0.457011	+	0.220085i	−0.191192	+	0.981553i	$0.561235\pi$
$692$	19.0831	−	8.29333i	0.725429	−	0.315265i
$693$	−14.7668	−	3.45357i	−0.560944	−	0.131190i
$694$	9.26273	+	28.2172i	0.351608	+	1.07111i
$695$	13.1032	−	10.4494i	0.497032	−	0.396370i
$696$	22.4109	+	9.33939i	0.849484	+	0.354009i
$697$	0.373554	−	0.468422i	0.0141494	−	0.0177428i
$698$	−27.6173	+	16.6141i	−1.04533	+	0.628852i
$699$	−6.76780	+	8.48655i	−0.255982	+	0.320991i
$700$	−23.4378	+	17.0537i	−0.885867	+	0.644571i
$701$	0.171706	+	0.215312i	0.00648523	+	0.00813222i	0.785064	−	0.619415i	$-0.212630\pi$
$701$	0.171706	+	0.215312i	0.00648523	+	0.00813222i	−0.778578	+	0.627547i	$0.784059\pi$
$702$	−8.79288	−	3.26973i	−0.331866	−	0.123408i
$703$	−1.53181	+	6.71129i	−0.0577732	+	0.253121i
$704$	−45.5447	−	5.32999i	−1.71653	−	0.200881i
$705$			0.459591i			0.0173092i
$706$	−39.2938	+	23.6385i	−1.47884	+	0.889645i
$707$	0.0209146	+	0.0168625i	0.000786575	+	0.000634181i
$708$	17.5398	−	3.29268i	0.659185	−	0.123747i
$709$	−5.54759	−	24.3056i	−0.208344	−	0.912815i	−0.965669	−	0.259776i	$-0.916351\pi$
$709$	−5.54759	−	24.3056i	−0.208344	−	0.912815i	0.757325	−	0.653038i	$-0.226506\pi$
$710$	14.1451	+	1.87255i	0.530857	+	0.0702755i
$711$	−7.05441	+	5.62570i	−0.264561	+	0.210980i
$712$	0.689841	+	0.491701i	0.0258529	+	0.0184273i
$713$	5.52522	−	1.26110i	0.206921	−	0.0472284i
$714$	−6.17983	−	6.49371i	−0.231274	−	0.243021i
$715$	119.991	+	27.3872i	4.48741	+	1.02422i
$716$	−10.7169	−	0.416376i	−0.400511	−	0.0155607i
$717$		−	1.83914i		−	0.0686840i
$718$	−42.7206	+	25.7000i	−1.59432	+	0.959114i
$719$	−24.7635	+	11.9255i	−0.923521	+	0.444744i	−0.834327	−	0.551270i	$-0.814143\pi$
$719$	−24.7635	+	11.9255i	−0.923521	+	0.444744i	−0.0891943	+	0.996014i	$0.528429\pi$
$720$	−10.7188	+	7.26304i	−0.399466	+	0.270678i
$721$	9.04064	−	11.2131i	0.336691	−	0.417598i
$722$	−2.36953	−	25.4650i	−0.0881848	−	0.947708i
$723$	−28.1963	−	6.43562i	−1.04863	−	0.239343i
$724$	14.6252	−	16.9457i	0.543542	−	0.629780i
$725$	−42.3643	+	20.4016i	−1.57337	+	0.757695i
$726$	30.6404	+	4.05622i	1.13717	+	0.150540i
$727$	22.9080	+	11.0319i	0.849611	+	0.409151i	0.807433	−	0.589959i	$-0.200856\pi$
$727$	22.9080	+	11.0319i	0.849611	+	0.409151i	0.0421777	+	0.999110i	$0.486570\pi$
$728$	−40.2683	−	29.0280i	−1.49244	−	1.07585i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	61.7762	−	20.2790i	2.28644	−	0.750560i
$731$	3.18031	+	13.9339i	0.117628	+	0.515362i
$732$	−8.07839	−	4.28437i	−0.298586	−	0.158355i
$733$	−1.15274	−	0.919276i	−0.0425773	−	0.0339542i	0.601970	−	0.798519i	$-0.294383\pi$
$733$	−1.15274	−	0.919276i	−0.0425773	−	0.0339542i	−0.644547	+	0.764564i	$0.722954\pi$
$734$	−12.5364	+	12.0588i	−0.462728	+	0.445100i
$735$	−22.1431	+	4.80555i	−0.816760	+	0.177256i
$736$	−14.5086	−	17.6394i	−0.534794	−	0.650197i
$737$	−39.6186	+	49.6801i	−1.45937	+	1.82999i
$738$	−0.110304	−	0.336020i	−0.00406034	−	0.0123691i
$739$	−34.3144	+	7.83204i	−1.26228	+	0.288106i	−0.800738	−	0.599015i	$-0.795559\pi$
$739$	−34.3144	+	7.83204i	−1.26228	+	0.288106i	−0.461537	+	0.887121i	$0.652702\pi$
$740$	41.1422	+	21.8198i	1.51242	+	0.802111i
$741$	2.75425	+	5.71926i	0.101180	+	0.210102i
$742$	0.271870	+	3.10136i	0.00998065	+	0.113854i
$743$	18.1631	−	37.7160i	0.666339	−	1.38367i	−0.243988	−	0.969778i	$-0.578456\pi$
$743$	18.1631	−	37.7160i	0.666339	−	1.38367i	0.910327	−	0.413889i	$-0.135830\pi$
$744$	0.673437	−	3.91263i	0.0246894	−	0.143444i
$745$	−9.16982	−	19.0413i	−0.335956	−	0.697621i
$746$	1.36912	+	14.7137i	0.0501269	+	0.538705i
$747$	−3.60473	+	15.7934i	−0.131890	+	0.577849i
$748$	20.7922	+	17.9450i	0.760237	+	0.656135i
$749$	8.69229	+	18.2993i	0.317609	+	0.668642i
$750$	0.287019	−	2.16812i	0.0104804	−	0.0791685i
$751$	−17.5848	−	36.5153i	−0.641680	−	1.33246i	−0.927372	−	0.374140i	$-0.877938\pi$
$751$	−17.5848	−	36.5153i	−0.641680	−	1.33246i	0.285692	−	0.958321i	$-0.407776\pi$
$752$	−0.168955	+	0.542219i	−0.00616117	+	0.0197727i
$753$	26.0610			0.949714
$754$	−55.8251	−	58.0362i	−2.03303	−	2.11355i
$755$	11.9746	−	52.4643i	0.435801	−	1.90937i
$756$	−5.20580	+	0.948488i	−0.189333	+	0.0344962i
$757$	−3.89517	−	17.0658i	−0.141572	−	0.620269i	−0.995070	−	0.0991726i	$-0.968380\pi$
$757$	−3.89517	−	17.0658i	−0.141572	−	0.620269i	0.853498	−	0.521096i	$-0.174477\pi$
$758$	16.5003	−	25.1620i	0.599317	−	0.913926i
$759$	14.4293	+	18.0937i	0.523749	+	0.656761i
$760$	8.63433	+	1.48613i	0.313200	+	0.0539076i
$761$	36.8167	−	8.40318i	1.33461	−	0.304615i	0.505074	−	0.863076i	$-0.331465\pi$
$761$	36.8167	−	8.40318i	1.33461	−	0.304615i	0.829531	+	0.558461i	$0.188608\pi$
$762$	−1.31860	+	2.01079i	−0.0477679	+	0.0728433i
$763$	17.4439	+	22.1155i	0.631512	+	0.800634i
$764$	13.3877	−	49.6787i	0.484349	−	1.79731i
$765$	7.75508			0.280386
$766$	−5.10712	+	4.91255i	−0.184528	+	0.177498i
$767$	−57.7069	−	13.1712i	−2.08368	−	0.475585i
$768$	−15.3159	+	4.62839i	−0.552666	+	0.167013i
$769$	−28.8055	+	22.9717i	−1.03875	+	0.828379i	−0.985410	−	0.170197i	$-0.945560\pi$
$769$	−28.8055	+	22.9717i	−1.03875	+	0.828379i	−0.0533445	+	0.998576i	$0.516988\pi$
$770$	66.0742	−	21.2993i	2.38115	−	0.767575i
$771$	−10.2134	−	8.14492i	−0.367827	−	0.293332i
$772$	35.0556	+	9.44698i	1.26168	+	0.340004i
$773$	−35.7907	−	28.5421i	−1.28730	−	1.02659i	−0.997584	−	0.0694756i	$-0.977867\pi$
$773$	−35.7907	−	28.5421i	−1.28730	−	1.02659i	−0.289717	−	0.957112i	$-0.593561\pi$
$774$	7.90746	+	2.94047i	0.284228	+	0.105693i
$775$	4.79397	+	6.01145i	0.172205	+	0.215938i
$776$	10.2178	−	2.91992i	0.366796	−	0.104819i
$777$	11.7868	+	14.9433i	0.422849	+	0.536089i
$778$	−1.97516	+	5.31155i	−0.0708128	+	0.190428i
$779$	−0.103833	+	0.215611i	−0.00372020	+	0.00772507i
$780$	42.2070	−	7.92337i	1.51125	−	0.283702i
$781$	−16.0968	−	7.75183i	−0.575990	−	0.277382i
$782$	1.26744	+	13.6210i	0.0453236	+	0.487086i
$783$	−8.58396			−0.306766
$784$	−27.8908	−	2.47075i	−0.996099	−	0.0882411i
$785$	41.1285			1.46794
$786$	1.14844	+	12.3422i	0.0409637	+	0.440230i
$787$	9.15534	+	4.40898i	0.326353	+	0.157163i	0.589885	−	0.807487i	$-0.299173\pi$
$787$	9.15534	+	4.40898i	0.326353	+	0.157163i	−0.263532	+	0.964651i	$0.584887\pi$
$788$	−25.2462	+	4.73939i	−0.899360	+	0.168834i
$789$	1.15814	−	2.40490i	0.0412308	−	0.0856167i
$790$	14.3963	−	38.7144i	0.512199	−	1.37739i
$791$	−12.3210	+	5.85256i	−0.438085	+	0.208093i
$792$	15.5883	−	4.45467i	0.553908	−	0.158290i
$793$	18.9097	+	23.7121i	0.671505	+	0.842040i
$794$	43.8633	+	16.3110i	1.55665	+	0.578857i
$795$	−2.10570	−	1.67924i	−0.0746816	−	0.0595566i
$796$	23.3772	+	6.29981i	0.828582	+	0.223291i
$797$	34.0524	+	27.1559i	1.20620	+	0.961911i	0.999863	−	0.0165705i	$-0.00527480\pi$
$797$	34.0524	+	27.1559i	1.20620	+	0.961911i	0.206335	+	0.978481i	$0.433846\pi$
$798$	2.98367	+	1.97946i	0.105621	+	0.0700722i
$799$	0.265951	−	0.212089i	0.00940868	−	0.00750317i
$800$	13.0211	−	28.1183i	0.460366	−	0.994131i
$801$	−0.292001	−	0.0666473i	−0.0103173	−	0.00235487i
$802$	12.3901	−	11.9180i	0.437508	−	0.420840i
$803$	−81.4134			−2.87302
$804$	−5.76913	+	21.4079i	−0.203461	+	0.755000i
$805$	31.0729	+	15.1690i	1.09517	+	0.534639i
$806$	−7.22094	+	11.0115i	−0.254347	+	0.387865i
$807$	−12.3351	+	2.81541i	−0.434216	+	0.0991070i
$808$	−0.0283045	−	0.00487173i	−0.000995747	−	0.000171387i
$809$	19.6651	+	24.6593i	0.691389	+	0.866974i	0.996347	−	0.0853914i	$-0.0272141\pi$
$809$	19.6651	+	24.6593i	0.691389	+	0.866974i	−0.304959	+	0.952366i	$0.598643\pi$
$810$	2.51029	−	3.82805i	0.0882025	−	0.134504i
$811$	4.78428	+	20.9613i	0.167999	+	0.736052i	0.986796	+	0.161968i	$0.0517843\pi$
$811$	4.78428	+	20.9613i	0.167999	+	0.736052i	−0.818797	+	0.574083i	$0.805359\pi$
$812$	−43.7936	−	12.0532i	−1.53685	−	0.422984i
$813$	2.14999	−	9.41971i	0.0754034	−	0.330364i
$814$	−40.4247	−	42.0258i	−1.41689	−	1.47300i
$815$	−12.2313			−0.428443
$816$	9.14935	+	2.85094i	0.320291	+	0.0998027i
$817$	−2.47690	−	5.14335i	−0.0866559	−	0.179943i
$818$	4.33624	−	32.7557i	0.151613	−	1.14527i
$819$	17.0894	+	3.99676i	0.597151	+	0.139658i
$820$	1.22561	+	1.05778i	0.0428002	+	0.0369395i
$821$	−2.73936	+	12.0019i	−0.0956042	+	0.418869i	−0.999969	−	0.00789123i	$-0.997488\pi$
$821$	−2.73936	+	12.0019i	−0.0956042	+	0.418869i	0.904365	+	0.426760i	$0.140345\pi$
$822$	2.08410	+	22.3975i	0.0726914	+	0.781203i
$823$	22.8979	+	47.5480i	0.798171	+	1.65742i	0.752617	+	0.658458i	$0.228791\pi$
$823$	22.8979	+	47.5480i	0.798171	+	1.65742i	0.0455542	+	0.998962i	$0.485495\pi$
$824$	−2.61192	+	15.1751i	−0.0909904	+	0.528649i
$825$	−13.6231	+	28.2887i	−0.474297	+	0.984888i
$826$	−31.7769	+	10.2434i	−1.10566	+	0.356415i
$827$	12.0084	+	24.9356i	0.417572	+	0.867097i	0.998584	+	0.0532019i	$0.0169427\pi$
$827$	12.0084	+	24.9356i	0.417572	+	0.867097i	−0.581012	+	0.813895i	$0.697343\pi$
$828$	7.13384	+	3.78343i	0.247918	+	0.131483i
$829$	28.8930	−	6.59464i	1.00350	−	0.229041i	0.310958	−	0.950424i	$-0.399350\pi$
$829$	28.8930	−	6.59464i	1.00350	−	0.229041i	0.692537	+	0.721382i	$0.256493\pi$
$830$	−23.1289	−	70.4578i	−0.802815	−	2.44563i
$831$	−10.1227	+	12.6934i	−0.351151	+	0.440329i
$832$	52.7080	+	6.16830i	1.82732	+	0.213847i
$833$	12.9993	+	10.5959i	0.450399	+	0.367127i
$834$	−5.27716	+	5.07611i	−0.182733	+	0.175771i
$835$	4.75530	+	3.79223i	0.164564	+	0.131235i
$836$	−9.69170	−	5.13999i	−0.335194	−	0.177770i
$837$	0.312345	+	1.36847i	0.0107962	+	0.0473013i
$838$	−9.02533	+	2.96271i	−0.311775	+	0.102345i
$839$	2.52559	−	1.21626i	0.0871932	−	0.0419900i	−0.389779	−	0.920908i	$-0.627449\pi$
$839$	2.52559	−	1.21626i	0.0871932	−	0.0419900i	0.476972	+	0.878918i	$0.341734\pi$
$840$	18.1822	−	16.0051i	0.627344	−	0.552229i
$841$	−40.2592	−	19.3878i	−1.38825	−	0.668545i
$842$	−13.2653	−	1.75608i	−0.457153	−	0.0605185i
$843$	−26.1458	+	12.5912i	−0.900509	+	0.433662i
$844$	−30.4915	+	35.3293i	−1.04956	+	1.21608i
$845$	−97.8383	−	22.3310i	−3.36574	−	0.768208i
$846$	−0.0186037	−	0.199931i	−0.000639608	−	0.00687376i
$847$	−57.8222	−	0.309086i	−1.98680	−	0.0106203i
$848$	−1.86696	−	2.75525i	−0.0641115	−	0.0946157i
$849$	−11.7459	+	5.65654i	−0.403119	+	0.194132i
$850$	−15.9037	+	9.56736i	−0.545491	+	0.328158i
$851$		−	29.0441i		−	0.995619i
$852$	−6.22920	−	0.242018i	−0.213409	−	0.00829139i
$853$	−23.8110	−	5.43471i	−0.815274	−	0.186081i	−0.205501	−	0.978657i	$-0.565882\pi$
$853$	−23.8110	−	5.43471i	−0.815274	−	0.186081i	−0.609773	+	0.792576i	$0.708739\pi$
$854$	16.0024	+	6.04822i	0.547590	+	0.206966i
$855$	−3.01992	+	0.689278i	−0.103279	+	0.0235728i
$856$	−17.6361	−	12.5706i	−0.602790	−	0.429653i
$857$	0.00222919	−	0.00177772i	7.61476e−5	−	6.07257e-5i	−0.623452	−	0.781862i	$-0.714270\pi$
$857$	0.00222919	−	0.00177772i	7.61476e−5	−	6.07257e-5i	0.623528	+	0.781801i	$0.285699\pi$
$858$	−53.3070	−	7.05685i	−1.81987	−	0.240917i
$859$	−3.85813	−	16.9036i	−0.131638	−	0.576743i	−0.997122	−	0.0758076i	$-0.975847\pi$
$859$	−3.85813	−	16.9036i	−0.131638	−	0.576743i	0.865485	−	0.500935i	$-0.167011\pi$
$860$	−37.9568	+	7.12551i	−1.29432	+	0.242978i
$861$	0.283884	+	0.597642i	0.00967474	+	0.0203676i
$862$	−4.38256	+	2.63647i	−0.149271	+	0.0897985i
$863$			23.7259i			0.807640i	0.914838	+	0.403820i	$0.132318\pi$
$863$			23.7259i			0.807640i	−0.914838	+	0.403820i	$0.867682\pi$
$864$	4.36888	−	3.59345i	0.148632	−	0.122252i
$865$	7.49360	−	32.8316i	0.254790	−	1.11631i
$866$	7.97185	+	2.96442i	0.270894	+	0.100735i
$867$	7.02056	+	8.80350i	0.238431	+	0.298983i
$868$	−0.328025	+	7.42025i	−0.0111339	+	0.251860i
$869$	−32.2462	+	40.4354i	−1.09388	+	1.37168i
$870$	33.6716	−	20.2562i	1.14157	−	0.686751i
$871$	45.8499	−	57.4940i	1.55356	−	1.94811i
$872$	−27.7949	−	11.5831i	−0.941255	−	0.392252i
$873$	−2.93745	+	2.34254i	−0.0994175	+	0.0792828i
$874$	−1.70420	−	5.19153i	−0.0576455	−	0.175606i
$875$	−0.0218710	+	4.09151i	−0.000739373	+	0.138318i
$876$	−26.0530	+	11.3224i	−0.880249	+	0.382549i
$877$	3.79440	+	1.82729i	0.128128	+	0.0617031i	0.496849	−	0.867837i	$-0.334490\pi$
$877$	3.79440	+	1.82729i	0.128128	+	0.0617031i	−0.368722	+	0.929540i	$0.620204\pi$
$878$	11.3740	+	7.45860i	0.383852	+	0.251716i
$879$	10.2076	−	21.1963i	0.344294	−	0.714935i
$880$	−50.6351	+	54.2590i	−1.70691	+	1.82907i
$881$		−	51.2780i		−	1.72760i	−0.503834	−	0.863801i	$-0.668078\pi$
$881$		−	51.2780i		−	1.72760i	0.503834	−	0.863801i	$-0.331922\pi$
$882$	9.43816	−	2.98684i	0.317799	−	0.100572i
$883$		−	13.0985i		−	0.440799i	−0.975410	−	0.220400i	$-0.929264\pi$
$883$		−	13.0985i		−	0.440799i	0.975410	−	0.220400i	$-0.0707361\pi$
$884$	−24.0624	−	20.7675i	−0.809307	−	0.698486i
$885$	12.5321	−	26.0231i	0.421260	−	0.874756i
$886$	16.3332	−	24.9071i	0.548723	−	0.836772i
$887$	−36.3261	−	17.4937i	−1.21971	−	0.587382i	−0.290480	−	0.956881i	$-0.593815\pi$
$887$	−36.3261	−	17.4937i	−1.21971	−	0.587382i	−0.929231	+	0.369499i	$0.879529\pi$
$888$	−18.7809	−	7.82664i	−0.630246	−	0.262645i
$889$	1.97349	−	4.04256i	0.0661886	−	0.135583i
$890$	1.30268	−	0.427626i	0.0436660	−	0.0143341i
$891$	−4.48141	+	3.57380i	−0.150133	+	0.119727i
$892$	0.484094	+	1.11391i	0.0162087	+	0.0372964i
$893$	−0.0847141	+	0.106228i	−0.00283485	+	0.00355479i
$894$	4.75982	+	7.91217i	0.159192	+	0.264623i
$895$	−10.8226	+	13.5711i	−0.361760	+	0.453633i
$896$	27.3349	−	12.1985i	0.913195	−	0.407522i
$897$	−16.6987	−	20.9396i	−0.557555	−	0.699152i
$898$	−14.8730	+	39.9963i	−0.496320	+	1.33469i
$899$	−2.68115	+	11.7469i	−0.0894215	+	0.391781i
$900$	−0.425324	+	10.9473i	−0.0141775	+	0.364908i
$901$			1.99343i			0.0664109i
$902$	−1.04499	−	1.73706i	−0.0347943	−	0.0578379i
$903$	−15.3685	−	3.59430i	−0.511432	−	0.119611i
$904$	8.46383	−	11.8745i	0.281503	−	0.394940i
$905$	−8.06152	−	35.3198i	−0.267974	−	1.17407i
$906$	−3.08550	+	23.3077i	−0.102509	+	0.774347i
$907$	4.02679	−	3.21126i	0.133707	−	0.106628i	−0.554353	−	0.832282i	$-0.687034\pi$
$907$	4.02679	−	3.21126i	0.133707	−	0.106628i	0.688060	+	0.725654i	$0.258463\pi$
$908$	3.98312	−	0.747737i	0.132184	−	0.0248145i
$909$	0.00989969	−	0.00225954i	0.000328352	−	7.49442e-5i
$910$	−76.4665	+	24.6494i	−2.53484	+	0.817118i
$911$	−25.8135	−	5.89176i	−0.855239	−	0.195203i	−0.227645	−	0.973744i	$-0.573103\pi$
$911$	−25.8135	−	5.89176i	−0.855239	−	0.195203i	−0.627593	+	0.778541i	$0.715960\pi$
$912$	−3.81626	−	0.296988i	−0.126369	−	0.00983426i
$913$			92.8546i			3.07304i
$914$	23.7238	+	39.4357i	0.784715	+	1.30442i
$915$	−13.3340	+	6.42130i	−0.440807	+	0.212282i
$916$	11.3888	+	15.4776i	0.376295	+	0.511394i
$917$	−5.03929	−	22.6356i	−0.166412	−	0.747495i
$918$	−3.37361	+	0.313917i	−0.111346	+	0.0103608i
$919$	4.05154	+	0.924737i	0.133648	+	0.0305043i	0.288822	−	0.957383i	$-0.406737\pi$
$919$	4.05154	+	0.924737i	0.133648	+	0.0305043i	−0.155174	+	0.987887i	$0.549594\pi$
$920$	−36.9114	+	1.99333i	−1.21693	+	0.0657183i
$921$	−1.00996	+	0.486372i	−0.0332793	+	0.0160265i
$922$	−1.79795	+	13.5816i	−0.0592122	+	0.447285i
$923$	18.6286	+	8.97106i	0.613168	+	0.295286i
$924$	−27.8814	+	11.9402i	−0.917231	+	0.392805i
$925$	35.5023	−	17.0970i	1.16731	−	0.562146i
$926$	1.38555	+	4.22082i	0.0455320	+	0.138705i
$927$	−1.21142	−	5.30760i	−0.0397884	−	0.174324i
$928$	47.1720	−	11.5197i	1.54850	−	0.378151i
$929$	−25.0673	−	19.9905i	−0.822430	−	0.655866i	0.119067	−	0.992886i	$-0.462010\pi$
$929$	−25.0673	−	19.9905i	−0.822430	−	0.655866i	−0.941497	+	0.337020i	$0.890581\pi$
$930$	−4.45450	−	4.63093i	−0.146069	−	0.151854i
$931$	−6.00386	−	2.97079i	−0.196769	−	0.0973637i
$932$	−0.842821	+	21.6930i	−0.0276075	+	0.710579i
$933$	9.05992	−	11.3608i	0.296608	−	0.371935i
$934$	−27.4941	+	9.02538i	−0.899635	+	0.295319i
$935$	43.3371	−	9.89141i	1.41728	−	0.323484i
$936$	−18.0401	+	5.15531i	−0.589660	+	0.168507i
$937$	−15.8158	−	32.8419i	−0.516680	−	1.07290i	−0.982196	−	0.187858i	$-0.939846\pi$
$937$	−15.8158	−	32.8419i	−0.516680	−	1.07290i	0.465516	−	0.885039i	$-0.345869\pi$
$938$	5.66333	−	41.0910i	0.184914	−	1.34167i
$939$	10.3260	−	21.4422i	0.336977	−	0.699740i
$940$	0.544768	+	0.740352i	0.0177684	+	0.0241476i
$941$	−2.03119	−	4.21781i	−0.0662149	−	0.137497i	0.865235	−	0.501367i	$-0.167169\pi$
$941$	−2.03119	−	4.21781i	−0.0662149	−	0.137497i	−0.931450	+	0.363870i	$0.881455\pi$
$942$	−17.8917	+	1.66483i	−0.582943	+	0.0542432i
$943$	0.224676	−	0.984370i	0.00731646	−	0.0320555i
$944$	24.3518	−	26.0946i	0.792584	−	0.849308i
$945$	−3.75703	+	7.69604i	−0.122216	+	0.250352i
$946$	47.9392	+	6.34625i	1.55864	+	0.206334i
$947$	−9.65337	−	20.0454i	−0.313692	−	0.651389i	0.683194	−	0.730237i	$-0.260590\pi$
$947$	−9.65337	−	20.0454i	−0.313692	−	0.651389i	−0.996887	+	0.0788479i	$0.974876\pi$
$948$	−4.69558	+	17.4242i	−0.152505	+	0.565913i
$949$	94.2183			3.05846
$950$	5.34272	−	5.13918i	0.173341	−	0.166737i
$951$	1.39759	−	6.12326i	0.0453201	−	0.198560i
$952$	−17.6523	−	3.13553i	−0.572113	−	0.101623i
$953$	−5.57920	−	24.4441i	−0.180728	−	0.791821i	−0.981285	−	0.192563i	$-0.938320\pi$
$953$	−5.57920	−	24.4441i	−0.180728	−	0.791821i	0.800557	−	0.599257i	$-0.204537\pi$
$954$	0.983996	+	0.645267i	0.0318580	+	0.0208913i
$955$	−51.9191	−	65.1045i	−1.68006	−	2.10673i
$956$	−2.18000	−	2.96266i	−0.0705061	−	0.0958194i
$957$	−47.9691	+	10.9486i	−1.55062	+	0.353919i
$958$	−19.9634	−	13.0912i	−0.644988	−	0.422958i
$959$	−9.14489	−	41.0773i	−0.295304	−	1.32646i
$960$	−8.65771	+	24.4053i	−0.279427	+	0.787679i
$961$	−29.0297			−0.936443
$962$	46.7828	+	48.6358i	1.50834	+	1.56808i
$963$	7.46514	+	1.70387i	0.240561	+	0.0549065i
$964$	−53.0496	+	23.0549i	−1.70861	+	0.742548i
$965$	45.9408	−	36.6366i	1.47889	−	1.17937i
$966$	−14.1313	−	5.34104i	−0.454668	−	0.171845i
$967$	−22.3379	−	17.8139i	−0.718339	−	0.572856i	0.194634	−	0.980876i	$-0.437648\pi$
$967$	−22.3379	−	17.8139i	−0.718339	−	0.572856i	−0.912973	+	0.408020i	$0.866219\pi$
$968$	54.1665	−	29.7850i	1.74098	−	0.957325i
$969$	1.79248	+	1.42946i	0.0575828	+	0.0459207i
$970$	5.99462	−	16.1206i	0.192476	−	0.517601i
$971$	20.6509	+	25.8954i	0.662719	+	0.831023i	0.993636	−	0.112637i	$-0.0359296\pi$
$971$	20.6509	+	25.8954i	0.662719	+	0.831023i	−0.330918	+	0.943660i	$0.607358\pi$
$972$	−0.937070	+	1.76689i	−0.0300565	+	0.0566730i
$973$	8.59811	−	10.6642i	0.275643	−	0.341880i
$974$	−26.3728	−	9.80702i	−0.845040	−	0.314237i
$975$	15.7658	−	32.7381i	0.504911	−	1.04846i
$976$	−18.0919	+	2.67391i	−0.579106	+	0.0855899i
$977$	−39.1540	−	18.8556i	−1.25265	−	0.603243i	−0.314426	−	0.949282i	$-0.601812\pi$
$977$	−39.1540	−	18.8556i	−1.25265	−	0.603243i	−0.938220	+	0.346039i	$0.887526\pi$
$978$	5.32085	−	0.495108i	0.170142	−	0.0158318i
$979$	−1.71677			−0.0548683
$980$	−29.9740	+	33.9882i	−0.957485	+	1.08571i
$981$	10.6462			0.339906
$982$	−12.6447	+	1.17659i	−0.403507	+	0.0375466i
$983$	40.2871	+	19.4012i	1.28496	+	0.618803i	0.946660	−	0.322235i	$-0.104434\pi$
$983$	40.2871	+	19.4012i	1.28496	+	0.618803i	0.338299	+	0.941039i	$0.390148\pi$
$984$	−0.575983	−	0.410546i	−0.0183617	−	0.0130877i
$985$	−18.0383	+	37.4568i	−0.574747	+	1.19347i
$986$	−27.2603	−	10.1370i	−0.868144	−	0.322828i
$987$	0.0816316	+	0.366675i	0.00259836	+	0.0116714i
$988$	11.2160	+	5.94842i	0.356830	+	0.189245i
$989$	15.0172	+	18.8310i	0.477520	+	0.598791i
$990$	9.14547	−	24.5938i	0.290662	−	0.781642i
$991$	33.8638	+	27.0055i	1.07572	+	0.857857i	0.990363	−	0.138493i	$-0.0442259\pi$
$991$	33.8638	+	27.0055i	1.07572	+	0.857857i	0.0853557	+	0.996351i	$0.472797\pi$
$992$	−3.55294	−	7.10109i	−0.112806	−	0.225460i
$993$	0.461148	+	0.367754i	0.0146341	+	0.0116703i
$994$	11.6180	−	1.01845i	0.368501	−	0.0323033i
$995$	30.6361	−	24.4314i	0.971229	−	0.774529i
$996$	12.9136	+	29.7143i	0.409182	+	0.941533i
$997$	14.2874	+	3.26100i	0.452485	+	0.103277i	0.442689	−	0.896675i	$-0.354025\pi$
$997$	14.2874	+	3.26100i	0.452485	+	0.103277i	0.00979630	+	0.999952i	$0.496882\pi$
$998$	−9.17201	−	9.53528i	−0.290335	−	0.301834i
$999$	7.19357			0.227594

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.16	✓	168
4.3	odd	2		588.2.x.b.55.2	yes	168
49.41	odd	14		588.2.x.b.139.2	yes	168
196.139	even	14	inner	588.2.x.a.139.16	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.16	✓	168	1.1	even	1	trivial
588.2.x.a.139.16	yes	168	196.139	even	14	inner
588.2.x.b.55.2	yes	168	4.3	odd	2
588.2.x.b.139.2	yes	168	49.41	odd	14

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.131027 + 1.40813i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.96566 + 0.369007i) q^{4} +(-1.40445 + 2.91638i) q^{5} +(0.492913 - 1.32553i) q^{6} +(-0.602515 + 2.57623i) q^{7} +(-0.777166 - 2.71956i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(0.131027 + 1.40813i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.96566 + 0.369007i) q^{4} +(-1.40445 + 2.91638i) q^{5} +(0.492913 - 1.32553i) q^{6} +(-0.602515 + 2.57623i) q^{7} +(-0.777166 - 2.71956i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-4.29066 - 1.59553i) q^{10} +(4.48141 + 3.57380i) q^{11} +(1.93111 + 0.520405i) q^{12} +(-5.18625 - 4.13590i) q^{13} +(-3.70662 - 0.510862i) q^{14} +(2.53074 - 2.01820i) q^{15} +(3.72767 - 1.45069i) q^{16} +(-2.33574 - 0.533118i) q^{17} +(-1.01923 + 0.980396i) q^{18} +0.956950 q^{19} +(1.68452 - 6.25087i) q^{20} +(1.66063 - 2.05968i) q^{21} +(-4.44519 + 6.77867i) q^{22} +(-3.93628 + 0.898431i) q^{23} +(-0.479771 + 2.78744i) q^{24} +(-3.41533 - 4.28268i) q^{25} +(5.14435 - 7.84484i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(0.233692 - 5.28634i) q^{28} +(1.91011 - 8.36874i) q^{29} +(3.17348 + 3.29917i) q^{30} -1.40367 q^{31} +(2.53119 + 5.05896i) q^{32} +(-2.48699 - 5.16429i) q^{33} +(0.444653 - 3.35888i) q^{34} +(-6.66707 - 5.37536i) q^{35} +(-1.51407 - 1.30675i) q^{36} +(-1.60072 + 7.01321i) q^{37} +(0.125387 + 1.34751i) q^{38} +(2.87815 + 5.97655i) q^{39} +(9.02276 + 1.55299i) q^{40} +(-0.108504 + 0.225311i) q^{41} +(3.11789 + 2.06851i) q^{42} +(-2.58833 - 5.37473i) q^{43} +(-10.1277 - 5.37122i) q^{44} +(-3.15578 + 0.720286i) q^{45} +(-1.78087 - 5.42508i) q^{46} +(-0.0885251 + 0.111007i) q^{47} +(-3.98794 - 0.310349i) q^{48} +(-6.27395 - 3.10444i) q^{49} +(5.58308 - 5.37037i) q^{50} +(1.87312 + 1.49376i) q^{51} +(11.7206 + 6.21602i) q^{52} +(-0.185149 - 0.811190i) q^{53} +(1.34367 - 0.441081i) q^{54} +(-16.7165 + 8.05024i) q^{55} +(7.47448 - 0.363586i) q^{56} +(-0.862182 - 0.415205i) q^{57} +(12.0346 + 1.59315i) q^{58} +(8.03942 - 3.87158i) q^{59} +(-4.22985 + 4.90096i) q^{60} +(-4.45747 - 1.01739i) q^{61} +(-0.183919 - 1.97654i) q^{62} +(-2.38984 + 1.13519i) q^{63} +(-6.79202 + 4.22710i) q^{64} +(19.3457 - 9.31640i) q^{65} +(6.94614 - 4.17867i) q^{66} +11.0858i q^{67} +(4.78800 + 0.186024i) q^{68} +(3.93628 + 0.898431i) q^{69} +(6.69564 - 10.0924i) q^{70} +(-3.03880 + 0.693586i) q^{71} +(1.64168 - 2.30323i) q^{72} +(-11.1047 + 8.85573i) q^{73} +(-10.0853 - 1.33510i) q^{74} +(1.21892 + 5.34042i) q^{75} +(-1.88104 + 0.353122i) q^{76} +(-11.9071 + 9.39188i) q^{77} +(-8.03864 + 4.83591i) q^{78} +9.02293i q^{79} +(-1.00458 + 12.9087i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-0.331484 - 0.123266i) q^{82} +(10.1002 + 12.6653i) q^{83} +(-2.50421 + 4.66143i) q^{84} +(4.83521 - 6.06317i) q^{85} +(7.22918 - 4.34895i) q^{86} +(-5.35201 + 6.71121i) q^{87} +(6.23638 - 14.9649i) q^{88} +(-0.234167 + 0.186742i) q^{89} +(-1.42775 - 4.34937i) q^{90} +(13.7798 - 10.8691i) q^{91} +(7.40588 - 3.21853i) q^{92} +(1.26466 + 0.609027i) q^{93} +(-0.167911 - 0.110110i) q^{94} +(-1.34399 + 2.79083i) q^{95} +(-0.0855182 - 5.65621i) q^{96} +3.75714i q^{97} +(3.54939 - 9.24131i) q^{98} +5.73193i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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