LMFDB - Embedded newform 460.2.w.a.3.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [460,2,Mod(3,460)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(460, base_ring=CyclotomicField(44))

chi = DirichletCharacter(H, H._module([22, 33, 32]))

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

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

chi := DirichletCharacter("460.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 460 = 2^{2} \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	460.w (of order $44$, degree $20$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.67311849298$
Analytic rank:	$0$
Dimension:	$1360$
Relative dimension:	$68$ over $\Q(\zeta_{44})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label			3.10
Character	$\chi$	$=$	460.3
Dual form			460.2.w.a.307.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.28874 - 0.582374i) q^{2} +(1.09678 + 2.94057i) q^{3} +(1.32168 + 1.50105i) q^{4} +(0.110052 + 2.23336i) q^{5} +(0.299057 - 4.42835i) q^{6} +(-1.66107 - 0.361343i) q^{7} +(-0.829123 - 2.70417i) q^{8} +(-5.17679 + 4.48572i) q^{9} +O(q^{10})$	\(q+(-1.28874 - 0.582374i) q^{2} +(1.09678 + 2.94057i) q^{3} +(1.32168 + 1.50105i) q^{4} +(0.110052 + 2.23336i) q^{5} +(0.299057 - 4.42835i) q^{6} +(-1.66107 - 0.361343i) q^{7} +(-0.829123 - 2.70417i) q^{8} +(-5.17679 + 4.48572i) q^{9} +(1.15882 - 2.94230i) q^{10} +(-3.24535 - 0.466611i) q^{11} +(-2.96436 + 5.53282i) q^{12} +(0.713567 + 3.28022i) q^{13} +(1.93024 + 1.43304i) q^{14} +(-6.44665 + 2.77311i) q^{15} +(-0.506320 + 3.96783i) q^{16} +(6.70189 - 3.65951i) q^{17} +(9.28388 - 2.76607i) q^{18} +(-1.12748 + 0.331058i) q^{19} +(-3.20694 + 3.11698i) q^{20} +(-0.759265 - 5.28081i) q^{21} +(3.91066 + 2.49135i) q^{22} +(1.03279 - 4.68330i) q^{23} +(7.04245 - 5.40397i) q^{24} +(-4.97578 + 0.491570i) q^{25} +(0.990713 - 4.64290i) q^{26} +(-10.6047 - 5.79060i) q^{27} +(-1.65301 - 2.97093i) q^{28} +(-1.27325 + 4.33628i) q^{29} +(9.92301 + 0.180554i) q^{30} +(-0.149523 + 0.0682847i) q^{31} +(2.96327 - 4.81861i) q^{32} +(-2.18732 - 10.0550i) q^{33} +(-10.7682 + 0.813134i) q^{34} +(0.624206 - 3.74953i) q^{35} +(-13.5754 - 1.84195i) q^{36} +(4.78312 + 0.342095i) q^{37} +(1.64582 + 0.229969i) q^{38} +(-8.86309 + 5.69596i) q^{39} +(5.94814 - 2.14933i) q^{40} +(0.875046 - 1.00986i) q^{41} +(-2.09691 + 7.24774i) q^{42} +(2.86261 + 7.67495i) q^{43} +(-3.58891 - 5.48816i) q^{44} +(-10.5879 - 11.0680i) q^{45} +(-4.05843 + 5.43407i) q^{46} +(4.45677 + 4.45677i) q^{47} +(-12.2230 + 2.86295i) q^{48} +(-3.73884 - 1.70747i) q^{49} +(6.69874 + 2.26426i) q^{50} +(18.1115 + 15.6937i) q^{51} +(-3.98067 + 5.40650i) q^{52} +(5.56224 + 1.20999i) q^{53} +(10.2944 + 13.6385i) q^{54} +(0.684953 - 7.29938i) q^{55} +(0.400096 + 4.79142i) q^{56} +(-2.21009 - 2.95234i) q^{57} +(4.16621 - 4.84681i) q^{58} +(-7.92467 - 5.09288i) q^{59} +(-12.6830 - 6.01159i) q^{60} +(4.44593 + 9.73523i) q^{61} +(0.232463 - 0.000922840i) q^{62} +(10.2199 - 5.58049i) q^{63} +(-6.62511 + 4.48419i) q^{64} +(-7.24737 + 1.95464i) q^{65} +(-3.03687 + 14.2320i) q^{66} +(-7.40444 + 9.89117i) q^{67} +(14.3509 + 5.22319i) q^{68} +(14.9043 - 2.09954i) q^{69} +(-2.98807 + 4.46863i) q^{70} +(-9.14897 + 1.31542i) q^{71} +(16.4224 + 10.2797i) q^{72} +(-6.38790 - 3.48806i) q^{73} +(-5.96495 - 3.22644i) q^{74} +(-6.90281 - 14.0925i) q^{75} +(-1.98710 - 1.25485i) q^{76} +(5.22215 + 1.94776i) q^{77} +(14.7394 - 2.17896i) q^{78} +(9.03134 + 5.80409i) q^{79} +(-8.91730 - 0.694127i) q^{80} +(2.47218 - 17.1944i) q^{81} +(-1.71582 + 0.791834i) q^{82} +(-9.11457 - 0.651887i) q^{83} +(6.92326 - 8.11924i) q^{84} +(8.91055 + 14.5650i) q^{85} +(0.780545 - 11.5581i) q^{86} +(-14.1476 + 1.01186i) q^{87} +(1.42900 + 9.16287i) q^{88} +(1.28875 + 0.588555i) q^{89} +(7.19934 + 20.4298i) q^{90} -5.70651i q^{91} +(8.39491 - 4.63956i) q^{92} +(-0.364789 - 0.364789i) q^{93} +(-3.14809 - 8.33910i) q^{94} +(-0.863452 - 2.48163i) q^{95} +(17.4195 + 3.42877i) q^{96} +(0.303806 + 4.24777i) q^{97} +(3.82399 + 4.37789i) q^{98} +(18.8936 - 12.1422i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1360 q - 18 q^{2} - 36 q^{5} - 44 q^{6} - 18 q^{8}+O(q^{10}) $ 1360 * q - 18 * q^2 - 36 * q^5 - 44 * q^6 - 18 * q^8	$ 1360 q - 18 q^{2} - 36 q^{5} - 44 q^{6} - 18 q^{8} - 18 q^{10} - 6 q^{12} - 36 q^{13} - 44 q^{16} - 36 q^{17} - 38 q^{18} - 14 q^{20} - 88 q^{21} - 28 q^{22} - 36 q^{25} - 36 q^{26} - 34 q^{28} + 2 q^{30} + 2 q^{32} - 60 q^{33} - 36 q^{36} - 36 q^{37} - 10 q^{38} + 2 q^{40} - 56 q^{41} - 202 q^{42} - 120 q^{45} - 44 q^{46} - 50 q^{48} - 34 q^{50} - 250 q^{52} - 84 q^{53} - 84 q^{56} - 44 q^{57} - 58 q^{58} - 42 q^{60} - 136 q^{61} - 82 q^{62} - 68 q^{65} - 84 q^{66} - 4 q^{68} + 16 q^{70} - 104 q^{72} - 36 q^{73} + 4 q^{76} - 44 q^{77} - 50 q^{78} + 204 q^{80} + 80 q^{81} - 10 q^{82} - 252 q^{85} + 44 q^{86} - 50 q^{88} + 264 q^{90} - 22 q^{92} - 88 q^{93} + 52 q^{96} - 36 q^{97} + 30 q^{98}+O(q^{100}) $ 1360 * q - 18 * q^2 - 36 * q^5 - 44 * q^6 - 18 * q^8 - 18 * q^10 - 6 * q^12 - 36 * q^13 - 44 * q^16 - 36 * q^17 - 38 * q^18 - 14 * q^20 - 88 * q^21 - 28 * q^22 - 36 * q^25 - 36 * q^26 - 34 * q^28 + 2 * q^30 + 2 * q^32 - 60 * q^33 - 36 * q^36 - 36 * q^37 - 10 * q^38 + 2 * q^40 - 56 * q^41 - 202 * q^42 - 120 * q^45 - 44 * q^46 - 50 * q^48 - 34 * q^50 - 250 * q^52 - 84 * q^53 - 84 * q^56 - 44 * q^57 - 58 * q^58 - 42 * q^60 - 136 * q^61 - 82 * q^62 - 68 * q^65 - 84 * q^66 - 4 * q^68 + 16 * q^70 - 104 * q^72 - 36 * q^73 + 4 * q^76 - 44 * q^77 - 50 * q^78 + 204 * q^80 + 80 * q^81 - 10 * q^82 - 252 * q^85 + 44 * q^86 - 50 * q^88 + 264 * q^90 - 22 * q^92 - 88 * q^93 + 52 * q^96 - 36 * q^97 + 30 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/460\mathbb{Z}\right)^\times$.

$n$	$231$	$277$	$281$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{8}{11}\right)$

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 $

$2$	−1.28874	−	0.582374i	−0.911274	−	0.411801i
$2$	−1.28874	−	0.582374i	−0.911274	−	0.411801i
$3$	1.09678	+	2.94057i	0.633224	+	1.69774i	0.713216	+	0.700944i	$0.247238\pi$
$3$	1.09678	+	2.94057i	0.633224	+	1.69774i	−0.0799920	+	0.996796i	$0.525489\pi$
$4$	1.32168	+	1.50105i	0.660840	+	0.750526i
$5$	0.110052	+	2.23336i	0.0492166	+	0.998788i
$5$	0.110052	+	2.23336i	0.0492166	+	0.998788i
$6$	0.299057	−	4.42835i	0.122090	−	1.80787i
$7$	−1.66107	−	0.361343i	−0.627825	−	0.136575i	−0.112615	−	0.993639i	$-0.535923\pi$
$7$	−1.66107	−	0.361343i	−0.627825	−	0.136575i	−0.515210	+	0.857064i	$0.672286\pi$
$8$	−0.829123	−	2.70417i	−0.293139	−	0.956070i
$9$	−5.17679	+	4.48572i	−1.72560	+	1.49524i
$10$	1.15882	−	2.94230i	0.366452	−	0.930437i
$11$	−3.24535	−	0.466611i	−0.978510	−	0.140689i	−0.365541	−	0.930795i	$-0.619116\pi$
$11$	−3.24535	−	0.466611i	−0.978510	−	0.140689i	−0.612969	+	0.790107i	$0.710025\pi$
$12$	−2.96436	+	5.53282i	−0.855738	+	1.59719i
$13$	0.713567	+	3.28022i	0.197908	+	0.909768i	0.963764	+	0.266756i	$0.0859518\pi$
$13$	0.713567	+	3.28022i	0.197908	+	0.909768i	−0.765856	+	0.643012i	$0.777685\pi$
$14$	1.93024	+	1.43304i	0.515879	+	0.382996i
$15$	−6.44665	+	2.77311i	−1.66452	+	0.716014i
$16$	−0.506320	+	3.96783i	−0.126580	+	0.991956i
$17$	6.70189	−	3.65951i	1.62545	−	0.887561i	0.631787	−	0.775142i	$-0.282322\pi$
$17$	6.70189	−	3.65951i	1.62545	−	0.887561i	0.993661	−	0.112419i	$-0.0358599\pi$
$18$	9.28388	−	2.76607i	2.18823	−	0.651970i
$19$	−1.12748	+	0.331058i	−0.258662	+	0.0759499i	−0.408492	−	0.912762i	$-0.633945\pi$
$19$	−1.12748	+	0.331058i	−0.258662	+	0.0759499i	0.149831	+	0.988712i	$0.452127\pi$
$20$	−3.20694	+	3.11698i	−0.717093	+	0.696978i
$21$	−0.759265	−	5.28081i	−0.165685	−	1.15237i
$22$	3.91066	+	2.49135i	0.833755	+	0.531157i
$23$	1.03279	−	4.68330i	0.215352	−	0.976537i
$23$	1.03279	−	4.68330i	0.215352	−	0.976537i
$24$	7.04245	−	5.40397i	1.43753	−	1.10308i
$25$	−4.97578	+	0.491570i	−0.995155	+	0.0983140i
$26$	0.990713	−	4.64290i	0.194295	−	0.910547i
$27$	−10.6047	−	5.79060i	−2.04087	−	1.11440i
$28$	−1.65301	−	2.97093i	−0.312389	−	0.561454i
$29$	−1.27325	+	4.33628i	−0.236436	+	0.805226i	0.752718	+	0.658343i	$0.228742\pi$
$29$	−1.27325	+	4.33628i	−0.236436	+	0.805226i	−0.989154	+	0.146883i	$0.953076\pi$
$30$	9.92301	+	0.180554i	1.81169	+	0.0329645i
$31$	−0.149523	+	0.0682847i	−0.0268551	+	0.0122643i	−0.428797	−	0.903401i	$-0.641063\pi$
$31$	−0.149523	+	0.0682847i	−0.0268551	+	0.0122643i	0.401942	+	0.915665i	$0.368335\pi$
$32$	2.96327	−	4.81861i	0.523837	−	0.851818i
$33$	−2.18732	−	10.0550i	−0.380764	−	1.75034i
$34$	−10.7682	+	0.813134i	−1.84673	+	0.139451i
$35$	0.624206	−	3.74953i	0.105510	−	0.633786i
$36$	−13.5754	−	1.84195i	−2.26256	−	0.306992i
$37$	4.78312	+	0.342095i	0.786340	+	0.0562401i	0.458733	−	0.888574i	$-0.348303\pi$
$37$	4.78312	+	0.342095i	0.786340	+	0.0562401i	0.327607	+	0.944814i	$0.393758\pi$
$38$	1.64582	+	0.229969i	0.266988	+	0.0373059i
$39$	−8.86309	+	5.69596i	−1.41923	+	0.912083i
$40$	5.94814	−	2.14933i	0.940484	−	0.339839i
$41$	0.875046	−	1.00986i	0.136659	−	0.157713i	−0.683295	−	0.730143i	$-0.739454\pi$
$41$	0.875046	−	1.00986i	0.136659	−	0.157713i	0.819954	+	0.572430i	$0.193999\pi$
$42$	−2.09691	+	7.24774i	−0.323561	+	1.11835i
$43$	2.86261	+	7.67495i	0.436543	+	1.17042i	0.949985	+	0.312294i	$0.101097\pi$
$43$	2.86261	+	7.67495i	0.436543	+	1.17042i	−0.513442	+	0.858124i	$0.671630\pi$
$44$	−3.58891	−	5.48816i	−0.541049	−	0.827371i
$45$	−10.5879	−	11.0680i	−1.57835	−	1.64992i
$46$	−4.05843	+	5.43407i	−0.598383	+	0.801210i
$47$	4.45677	+	4.45677i	0.650086	+	0.650086i	0.953014	−	0.302927i	$-0.0979640\pi$
$47$	4.45677	+	4.45677i	0.650086	+	0.650086i	−0.302927	+	0.953014i	$0.597964\pi$
$48$	−12.2230	+	2.86295i	−1.76424	+	0.413231i
$49$	−3.73884	−	1.70747i	−0.534120	−	0.243925i
$50$	6.69874	+	2.26426i	0.947345	+	0.320215i
$51$	18.1115	+	15.6937i	2.53612	+	2.19756i
$52$	−3.98067	+	5.40650i	−0.552020	+	0.749747i
$53$	5.56224	+	1.20999i	0.764033	+	0.166205i	0.577664	−	0.816275i	$-0.303964\pi$
$53$	5.56224	+	1.20999i	0.764033	+	0.166205i	0.186369	+	0.982480i	$0.440328\pi$
$54$	10.2944	+	13.6385i	1.40088	+	1.85596i
$55$	0.684953	−	7.29938i	0.0923591	−	0.984249i
$56$	0.400096	+	4.79142i	0.0534650	+	0.640280i
$57$	−2.21009	−	2.95234i	−0.292734	−	0.391047i
$58$	4.16621	−	4.84681i	0.547051	−	0.636417i
$59$	−7.92467	−	5.09288i	−1.03170	−	0.663036i	−0.0887828	−	0.996051i	$-0.528298\pi$
$59$	−7.92467	−	5.09288i	−1.03170	−	0.663036i	−0.942922	+	0.333015i	$0.891934\pi$
$60$	−12.6830	−	6.01159i	−1.63737	−	0.776093i
$61$	4.44593	+	9.73523i	0.569243	+	1.24647i	0.947199	+	0.320645i	$0.103900\pi$
$61$	4.44593	+	9.73523i	0.569243	+	1.24647i	−0.377956	+	0.925824i	$0.623373\pi$
$62$	0.232463		0.000922840i	0.0295228		0.000117201i
$63$	10.2199	−	5.58049i	1.28759	−	0.703075i
$64$	−6.62511	+	4.48419i	−0.828139	+	0.560523i
$65$	−7.24737	+	1.95464i	−0.898925	+	0.242444i
$66$	−3.03687	+	14.2320i	−0.373812	+	1.75184i
$67$	−7.40444	+	9.89117i	−0.904596	+	1.20840i	0.0728779	+	0.997341i	$0.476782\pi$
$67$	−7.40444	+	9.89117i	−0.904596	+	1.20840i	−0.977474	+	0.211058i	$0.932309\pi$
$68$	14.3509	+	5.22319i	1.74030	+	0.633405i
$69$	14.9043	−	2.09954i	1.79427	−	0.252756i
$70$	−2.98807	+	4.46863i	−0.357142	+	0.534104i
$71$	−9.14897	+	1.31542i	−1.08578	+	0.156112i	−0.661891	−	0.749600i	$-0.730246\pi$
$71$	−9.14897	+	1.31542i	−1.08578	+	0.156112i	−0.423893	+	0.905713i	$0.639337\pi$
$72$	16.4224	+	10.2797i	1.93539	+	1.21148i
$73$	−6.38790	−	3.48806i	−0.747647	−	0.408246i	0.0597817	−	0.998211i	$-0.480960\pi$
$73$	−6.38790	−	3.48806i	−0.747647	−	0.408246i	−0.807428	+	0.589965i	$0.799141\pi$
$74$	−5.96495	−	3.22644i	−0.693411	−	0.375066i
$75$	−6.90281	−	14.0925i	−0.797068	−	1.62726i
$76$	−1.98710	−	1.25485i	−0.227936	−	0.143942i
$77$	5.22215	+	1.94776i	0.595119	+	0.221968i
$78$	14.7394	−	2.17896i	1.66890	−	0.246718i
$79$	9.03134	+	5.80409i	1.01611	+	0.653011i	0.938966	−	0.344009i	$-0.111785\pi$
$79$	9.03134	+	5.80409i	1.01611	+	0.653011i	0.0771389	+	0.997020i	$0.475422\pi$
$80$	−8.91730	−	0.694127i	−0.996984	−	0.0776058i
$81$	2.47218	−	17.1944i	0.274687	−	1.91049i
$82$	−1.71582	+	0.791834i	−0.189480	+	0.0874435i
$83$	−9.11457	−	0.651887i	−1.00045	−	0.0715539i	−0.438508	−	0.898727i	$-0.644493\pi$
$83$	−9.11457	−	0.651887i	−1.00045	−	0.0715539i	−0.561947	+	0.827174i	$0.689947\pi$
$84$	6.92326	−	8.11924i	0.755390	−	0.885881i
$85$	8.91055	+	14.5650i	0.966485	+	1.57979i
$86$	0.780545	−	11.5581i	0.0841684	−	1.24634i
$87$	−14.1476	+	1.01186i	−1.51678	+	0.108482i
$88$	1.42900	+	9.16287i	0.152332	+	0.976765i
$89$	1.28875	+	0.588555i	0.136608	+	0.0623867i	0.482546	−	0.875871i	$-0.339712\pi$
$89$	1.28875	+	0.588555i	0.136608	+	0.0623867i	−0.345938	+	0.938257i	$0.612439\pi$
$90$	7.19934	+	20.4298i	0.758877	+	2.15349i
$91$		−	5.70651i		−	0.598205i
$92$	8.39491	−	4.63956i	0.875230	−	0.483708i
$93$	−0.364789	−	0.364789i	−0.0378269	−	0.0378269i
$94$	−3.14809	−	8.33910i	−0.324701	−	0.860112i
$95$	−0.863452	−	2.48163i	−0.0885883	−	0.254610i
$96$	17.4195	+	3.42877i	1.77787	+	0.349947i
$97$	0.303806	+	4.24777i	0.0308469	+	0.431295i	0.989285	+	0.145996i	$0.0466386\pi$
$97$	0.303806	+	4.24777i	0.0308469	+	0.431295i	−0.958438	+	0.285300i	$0.907907\pi$
$98$	3.82399	+	4.37789i	0.386282	+	0.442233i
$99$	18.8936	−	12.1422i	1.89888	−	1.22033i
$100$	−7.31426	−	6.81921i	−0.731426	−	0.681921i
$101$	7.07127	+	8.16068i	0.703618	+	0.812018i	0.989237	−	0.146325i	$-0.0467446\pi$
$101$	7.07127	+	8.16068i	0.703618	+	0.812018i	−0.285619	+	0.958343i	$0.592199\pi$
$102$	−14.2014	−	30.7728i	−1.40614	−	3.04696i
$103$	0.241686	+	0.322855i	0.0238140	+	0.0318118i	0.812290	−	0.583253i	$-0.198221\pi$
$103$	0.241686	+	0.322855i	0.0238140	+	0.0318118i	−0.788476	+	0.615065i	$0.789130\pi$
$104$	8.27864	−	4.64931i	0.811787	−	0.455903i
$105$	11.7104	−	2.27687i	1.14282	−	0.222200i
$106$	−6.46359	−	4.79867i	−0.627800	−	0.466088i
$107$	2.52468	−	6.76892i	0.244070	−	0.654376i	−0.755930	−	0.654652i	$-0.772815\pi$
$107$	2.52468	−	6.76892i	0.244070	−	0.654376i	1.00000		0.000275825i	$8.77977e-5\pi$
$108$	−5.32402	−	23.5715i	−0.512304	−	2.26817i
$109$	−1.10009	+	3.74657i	−0.105370	+	0.358856i	−0.995252	−	0.0973346i	$-0.968968\pi$
$109$	−1.10009	+	3.74657i	−0.105370	+	0.358856i	0.889882	+	0.456191i	$0.150786\pi$
$110$	−5.13370	+	9.00808i	−0.489479	+	0.858887i
$111$	4.24006	+	14.4403i	0.402448	+	1.37061i
$112$	2.27478	−	6.40788i	0.214946	−	0.605488i
$113$	3.77950	−	5.04882i	0.355546	−	0.474954i	−0.586734	−	0.809780i	$-0.699587\pi$
$113$	3.77950	−	5.04882i	0.355546	−	0.474954i	0.942280	+	0.334826i	$0.108678\pi$
$114$	1.12886	+	5.09189i	0.105728	+	0.476899i
$115$	10.5732	+	1.79118i	0.985952	+	0.167029i
$116$	−8.19181	+	3.81996i	−0.760590	+	0.354675i
$117$	−18.4081	−	13.7801i	−1.70183	−	1.27397i
$118$	7.24685	+	11.1785i	0.667127	+	1.02906i
$119$	−12.4546	+	3.65701i	−1.14172	+	0.335238i
$120$	12.8440	+	15.1336i	1.17249	+	1.38150i
$121$	−0.239841	−	0.0704237i	−0.0218037	−	0.00640215i
$122$	−0.0600849	−	15.1353i	−0.00543983	−	1.37029i
$123$	3.92928	+	1.46555i	0.354292	+	0.132144i
$124$	−0.300120	−	0.134191i	−0.0269516	−	0.0120507i
$125$	−1.64544	−	11.0586i	−0.147173	−	0.989111i
$126$	−16.4207	+	1.23997i	−1.46287	+	0.110465i
$127$	7.08343	−	5.30259i	0.628552	−	0.470528i	−0.236890	−	0.971536i	$-0.576128\pi$
$127$	7.08343	−	5.30259i	0.628552	−	0.470528i	0.865443	+	0.501008i	$0.167037\pi$
$128$	11.1495	−	1.92064i	0.985485	−	0.169762i
$129$	−19.4291	+	16.8354i	−1.71064	+	1.48227i
$130$	10.4783	+	1.70166i	0.919006	+	0.149245i
$131$	−1.53115	−	2.38252i	−0.133778	−	0.208162i	0.767901	−	0.640568i	$-0.221301\pi$
$131$	−1.53115	−	2.38252i	−0.133778	−	0.208162i	−0.901679	+	0.432406i	$0.857665\pi$
$132$	12.2021	−	16.5727i	1.06205	−	1.44247i
$133$	1.99245	−	0.142503i	0.172767	−	0.0123565i
$134$	15.3027	−	8.43495i	1.32195	−	0.728669i
$135$	11.7654	−	24.3213i	1.01261	−	2.09325i
$136$	−15.4526	−	15.0889i	−1.32505	−	1.29386i
$137$	8.08802	−	8.08802i	0.691006	−	0.691006i	−0.271447	−	0.962453i	$-0.587502\pi$
$137$	8.08802	−	8.08802i	0.691006	−	0.691006i	0.962453	+	0.271447i	$0.0875022\pi$
$138$	−20.4305	−	5.97414i	−1.73916	−	0.508552i
$139$	18.4087			1.56140			0.780701	−	0.624905i	$-0.214862\pi$
$139$	18.4087			1.56140			0.780701	+	0.624905i	$0.214862\pi$
$140$	6.45324	−	4.01871i	0.545398	−	0.339643i
$141$	−8.21736	+	17.9935i	−0.692027	+	1.51533i
$142$	12.5567	+	3.63289i	1.05373	+	0.304865i
$143$	−0.785192	−	10.9784i	−0.0656610	−	0.918061i
$144$	−15.1774	−	22.8118i	−1.26479	−	1.90098i
$145$	−9.82458	−	2.36640i	−0.815887	−	0.196519i
$146$	6.20096	+	8.21533i	0.513195	+	0.679905i
$147$	0.920269	−	12.8670i	0.0759025	−	1.06126i
$148$	5.80825	+	7.63186i	0.477436	+	0.627335i
$149$	12.2810	+	1.76575i	1.00610	+	0.144656i	0.625616	−	0.780131i	$-0.284848\pi$
$149$	12.2810	+	1.76575i	1.00610	+	0.144656i	0.380486	+	0.924787i	$0.375757\pi$
$150$	0.688802	+	22.1815i	0.0562405	+	1.81111i
$151$	−3.08447	+	4.79952i	−0.251010	+	0.390580i	−0.943777	−	0.330582i	$-0.892755\pi$
$151$	−3.08447	+	4.79952i	−0.251010	+	0.390580i	0.692767	+	0.721161i	$0.256391\pi$
$152$	1.83006	+	2.77441i	0.148437	+	0.225035i
$153$	−18.2788	+	49.0073i	−1.47775	+	3.96201i
$154$	−5.59564	−	5.55139i	−0.450910	−	0.447344i
$155$	−0.168959	−	0.326423i	−0.0135712	−	0.0262189i
$156$	−20.2641	−	5.77572i	−1.62243	−	0.462428i
$157$	1.38990	−	2.54541i	0.110926	−	0.203146i	−0.816319	−	0.577602i	$-0.803989\pi$
$157$	1.38990	−	2.54541i	0.110926	−	0.203146i	0.927245	+	0.374456i	$0.122170\pi$
$158$	−8.25886	−	12.7396i	−0.657040	−	1.01350i
$159$	2.54247	+	17.6833i	0.201631	+	1.40237i
$160$	11.0878	+	6.08775i	0.876568	+	0.481279i
$161$	−3.40782	+	7.40610i	−0.268574	+	0.583683i
$162$	−13.1996	+	20.7193i	−1.03705	+	1.62786i
$163$	18.1781	+	13.6080i	1.42382	+	1.06586i	0.985991	+	0.166799i	$0.0533431\pi$
$163$	18.1781	+	13.6080i	1.42382	+	1.06586i	0.437828	+	0.899059i	$0.355748\pi$
$164$	2.67238	−	0.0212182i	0.208678	−	0.00165686i
$165$	22.2156	−	5.99164i	1.72948	−	0.466448i
$166$	11.3666	+	6.14820i	0.882222	+	0.477193i
$167$	5.71822	+	10.4721i	0.442489	+	0.810358i	0.999801	−	0.0199449i	$-0.00634907\pi$
$167$	5.71822	+	10.4721i	0.442489	+	0.810358i	−0.557312	+	0.830303i	$0.688167\pi$
$168$	−13.6507	+	6.43162i	−1.05317	+	0.496211i
$169$	1.57458	−	0.719085i	0.121121	−	0.0553143i
$170$	−3.00107	−	23.9597i	−0.230172	−	1.83763i
$171$	4.35170	−	6.77137i	0.332783	−	0.517820i
$172$	−7.73705	+	14.4408i	−0.589944	+	1.10110i
$173$	5.60219	−	4.19375i	0.425927	−	0.318845i	−0.364720	−	0.931117i	$-0.618835\pi$
$173$	5.60219	−	4.19375i	0.425927	−	0.318845i	0.790647	+	0.612272i	$0.209744\pi$
$174$	18.8218	+	6.93518i	1.42688	+	0.525755i
$175$	8.44274	+	0.981433i	0.638211	+	0.0741894i
$176$	3.49462	−	12.6407i	0.263417	−	0.952831i
$177$	6.28438	−	28.8888i	0.472363	−	2.17142i
$178$	−1.31811	−	1.50903i	−0.0987962	−	0.113107i
$179$	7.81436	−	9.01826i	0.584073	−	0.674056i	−0.384402	−	0.923166i	$-0.625592\pi$
$179$	7.81436	−	9.01826i	0.584073	−	0.674056i	0.968475	+	0.249109i	$0.0801379\pi$
$180$	2.61975	−	30.5214i	0.195265	−	2.27493i
$181$	−2.27396	+	4.97928i	−0.169022	+	0.370107i	−0.975121	−	0.221674i	$-0.928848\pi$
$181$	−2.27396	+	4.97928i	−0.169022	+	0.370107i	0.806099	+	0.591781i	$0.201575\pi$
$182$	−3.32332	+	7.35418i	−0.246341	+	0.545128i
$183$	−23.7510	+	23.7510i	−1.75572	+	1.75572i
$184$	−13.5208	+	1.09019i	−0.996765	+	0.0803701i
$185$	−0.237631	+	10.7201i	−0.0174710	+	0.788155i
$186$	0.257673	+	0.682560i	0.0188935	+	0.0500478i
$187$	−23.4576	+	8.74922i	−1.71539	+	0.639806i
$188$	−0.799419	+	12.5803i	−0.0583036	+	0.917510i
$189$	15.5227	+	13.4505i	1.12911	+	0.978382i
$190$	−0.332477	+	3.70102i	−0.0241204	+	0.268500i
$191$	3.99964	+	6.22356i	0.289404	+	0.450321i	0.955264	−	0.295756i	$-0.0955715\pi$
$191$	3.99964	+	6.22356i	0.289404	+	0.450321i	−0.665860	+	0.746077i	$0.731935\pi$
$192$	−20.4523	−	14.5635i	−1.47602	−	1.05103i
$193$	−0.403321	+	5.63916i	−0.0290317	+	0.405916i	0.962069	+	0.272805i	$0.0879513\pi$
$193$	−0.403321	+	5.63916i	−0.0290317	+	0.405916i	−0.991101	+	0.133111i	$0.957503\pi$
$194$	2.08226	−	5.65118i	0.149498	−	0.405731i
$195$	−13.6965	−	19.1676i	−0.980828	−	1.37262i
$196$	−2.37855	−	7.86893i	−0.169896	−	0.562067i
$197$	−20.2717	+	4.40985i	−1.44430	+	0.314189i	−0.865348	−	0.501171i	$-0.832903\pi$
$197$	−20.2717	+	4.40985i	−1.44430	+	0.314189i	−0.578954	+	0.815360i	$0.696539\pi$
$198$	−31.4202	+	4.64492i	−2.23293	+	0.330100i
$199$	−4.39747	−	9.62911i	−0.311728	−	0.682590i	0.687313	−	0.726361i	$-0.258790\pi$
$199$	−4.39747	−	9.62911i	−0.311728	−	0.682590i	−0.999042	+	0.0437714i	$0.986063\pi$
$200$	5.45482	+	13.0478i	0.385714	+	0.922618i
$201$	−37.2067	−	10.9249i	−2.62436	−	0.770581i
$202$	−4.36043	−	14.6351i	−0.306799	−	1.02972i
$203$	3.68183	−	6.74278i	0.258414	−	0.473250i
$204$	0.380543	+	47.9285i	0.0266433	+	3.35566i
$205$	2.35167	+	1.84315i	0.164248	+	0.128731i
$206$	−0.123447	−	0.556826i	−0.00860098	−	0.0387959i
$207$	15.6614	+	28.8773i	1.08855	+	2.00711i
$208$	−13.3766	+	1.17047i	−0.927502	+	0.0811577i
$209$	3.81354	−	0.548305i	0.263788	−	0.0379270i
$210$	−16.4176	−	3.88553i	−1.13292	−	0.268127i
$211$	−5.17416	−	17.6216i	−0.356204	−	1.21312i	−0.921548	−	0.388264i	$-0.873075\pi$
$211$	−5.17416	−	17.6216i	−0.356204	−	1.21312i	0.565345	−	0.824855i	$-0.308743\pi$
$212$	5.53525	+	9.94844i	0.380162	+	0.683262i
$213$	−13.9025	−	25.4605i	−0.952582	−	1.74452i
$214$	−7.19569	+	7.25305i	−0.491887	+	0.495808i
$215$	−16.8259	+	7.23787i	−1.14751	+	0.493618i
$216$	−6.86619	+	33.4781i	−0.467185	+	2.27789i
$217$	0.273042	−	0.0593966i	0.0185353	−	0.00403210i
$218$	3.59963	−	4.18767i	0.243798	−	0.283625i
$219$	3.25078	−	22.6097i	0.219667	−	1.52782i
$220$	11.8621	−	8.61930i	0.799739	−	0.581113i
$221$	16.7862	+	19.3723i	1.12916	+	1.30313i
$222$	2.94535	−	21.0790i	0.197679	−	1.41473i
$223$	1.68225	−	7.73316i	0.112651	−	0.517851i	−0.885892	−	0.463892i	$-0.846453\pi$
$223$	1.68225	−	7.73316i	0.112651	−	0.517851i	0.998543	−	0.0539584i	$-0.0171838\pi$
$224$	−6.66337	+	6.93329i	−0.445215	+	0.463250i
$225$	23.5535	−	24.8647i	1.57024	−	1.65765i
$226$	−7.81109	+	4.30552i	−0.519586	+	0.286399i
$227$	10.4606	−	3.90160i	0.694294	−	0.258958i	0.0225545	−	0.999746i	$-0.492820\pi$
$227$	10.4606	−	3.90160i	0.694294	−	0.258958i	0.671740	+	0.740787i	$0.265547\pi$
$228$	1.51058	−	7.21952i	0.100041	−	0.478124i
$229$			18.7187i			1.23696i	0.785799	+	0.618482i	$0.212252\pi$
$229$			18.7187i			1.23696i	−0.785799	+	0.618482i	$0.787748\pi$
$230$	−12.5829	−	8.46590i	−0.829690	−	0.558225i
$231$			17.4924i			1.15091i
$232$	12.7817	−	0.152231i	0.839161	−	0.00999443i
$233$	12.4271	−	4.63509i	0.814130	−	0.303655i	0.0923051	−	0.995731i	$-0.470576\pi$
$233$	12.4271	−	4.63509i	0.814130	−	0.303655i	0.721825	+	0.692076i	$0.243304\pi$
$234$	15.6980	+	28.4794i	1.02621	+	1.86175i
$235$	−9.46308	+	10.4440i	−0.617303	+	0.681293i
$236$	−2.82921	−	18.6265i	−0.184166	−	1.21248i
$237$	−7.16198	+	32.9231i	−0.465221	+	2.13858i
$238$	18.1805	+	2.54034i	1.17847	+	0.164666i
$239$	0.262895	+	0.303397i	0.0170053	+	0.0196251i	0.764189	−	0.644993i	$-0.223140\pi$
$239$	0.262895	+	0.303397i	0.0170053	+	0.0196251i	−0.747183	+	0.664618i	$0.768594\pi$
$240$	−7.73915	−	26.9833i	−0.499560	−	1.74176i
$241$	2.31799	−	16.1220i	0.149315	−	1.03851i	−0.768030	−	0.640414i	$-0.778763\pi$
$241$	2.31799	−	16.1220i	0.149315	−	1.03851i	0.917345	−	0.398093i	$-0.130328\pi$
$242$	0.268079	+	0.230435i	0.0172328	+	0.0148129i
$243$	17.8532	−	3.88372i	1.14528	−	0.249141i
$244$	−8.73700	+	19.5404i	−0.559329	+	1.25095i
$245$	3.40193	−	8.53808i	0.217341	−	0.545478i
$246$	−4.21031	−	4.17702i	−0.268440	−	0.266317i
$247$	−1.89047	−	3.46215i	−0.120288	−	0.220291i
$248$	0.308626	+	0.347719i	0.0195978	+	0.0220802i
$249$	−8.07973	−	27.5170i	−0.512032	−	1.74382i
$250$	−4.31970	+	15.2099i	−0.273202	+	0.961957i
$251$	−2.74887	+	0.395228i	−0.173507	+	0.0249466i	−0.228521	−	0.973539i	$-0.573389\pi$
$251$	−2.74887	+	0.395228i	−0.173507	+	0.0249466i	0.0550136	+	0.998486i	$0.482480\pi$
$252$	21.8840	+	7.96498i	1.37857	+	0.501747i
$253$	−5.53705	+	14.7171i	−0.348111	+	0.925254i
$254$	−12.2168	+	2.70843i	−0.766547	+	0.169942i
$255$	−33.0565	+	42.1766i	−2.07008	+	2.64120i
$256$	−15.4873	−	4.01798i	−0.967955	−	0.251123i
$257$	−13.5966	+	24.9003i	−0.848132	+	1.55324i	−0.0151856	+	0.999885i	$0.504834\pi$
$257$	−13.5966	+	24.9003i	−0.848132	+	1.55324i	−0.832947	+	0.553353i	$0.813348\pi$
$258$	34.8435	−	10.3814i	2.16926	−	0.646317i
$259$	−7.82148	−	2.29659i	−0.486003	−	0.142703i
$260$	−12.5127	−	8.29527i	−0.776007	−	0.514451i
$261$	−12.8600	−	28.1594i	−0.796013	−	1.74302i
$262$	0.585734	+	3.96215i	0.0361868	+	0.244782i
$263$	25.2550	−	5.49389i	1.55729	−	0.338768i	0.650219	−	0.759747i	$-0.274677\pi$
$263$	25.2550	−	5.49389i	1.55729	−	0.338768i	0.907070	+	0.420979i	$0.138313\pi$
$264$	−25.3768	+	14.2517i	−1.56183	+	0.877131i
$265$	−2.09021	+	12.5556i	−0.128401	+	0.771287i
$266$	−2.65073	−	0.976702i	−0.162527	−	0.0598854i
$267$	−0.317211	+	4.43519i	−0.0194130	+	0.271429i
$268$	−24.6335	+	1.95852i	−1.50473	+	0.119635i
$269$	−13.2025	−	20.5435i	−0.804972	−	1.25256i	−0.964162	−	0.265313i	$-0.914525\pi$
$269$	−13.2025	−	20.5435i	−0.804972	−	1.25256i	0.159190	−	0.987248i	$-0.449112\pi$
$270$	−29.3266	+	24.4919i	−1.78476	+	1.49053i
$271$	11.4097	+	9.88652i	0.693087	+	0.600564i	0.928500	−	0.371332i	$-0.121099\pi$
$271$	11.4097	+	9.88652i	0.693087	+	0.600564i	−0.235413	+	0.971895i	$0.575644\pi$
$272$	11.1270	+	28.4448i	0.674673	+	1.72472i
$273$	16.7804	−	6.25876i	1.01560	−	0.378798i
$274$	−15.1336	+	5.71307i	−0.914253	+	0.345139i
$275$	16.3775	+	0.726436i	0.987602	+	0.0438058i
$276$	22.8503	+	19.5973i	1.37543	+	1.17962i
$277$	2.52566	−	2.52566i	0.151752	−	0.151752i	−0.627148	−	0.778900i	$-0.715778\pi$
$277$	2.52566	−	2.52566i	0.151752	−	0.151752i	0.778900	+	0.627148i	$0.215778\pi$
$278$	−23.7239	−	10.7207i	−1.42286	−	0.642986i
$279$	0.467742	−	1.02421i	0.0280030	−	0.0613180i
$280$	−10.6569	+	1.42086i	−0.636873	+	0.0849127i
$281$	−5.58962	+	6.45077i	−0.333449	+	0.384820i	−0.897570	−	0.440871i	$-0.854670\pi$
$281$	−5.58962	+	6.45077i	−0.333449	+	0.384820i	0.564121	+	0.825692i	$0.309215\pi$
$282$	21.0690	−	18.4033i	1.25464	−	1.09590i
$283$	−1.20051	+	5.51867i	−0.0713632	+	0.328051i	−0.998963	−	0.0455235i	$-0.985504\pi$
$283$	−1.20051	+	5.51867i	−0.0713632	+	0.328051i	0.927600	+	0.373575i	$0.121868\pi$
$284$	−14.0665	−	11.9945i	−0.834696	−	0.711744i
$285$	6.35041	−	5.26084i	0.376166	−	0.311625i
$286$	−5.38164	+	14.6056i	−0.318223	+	0.863644i
$287$	−1.81842	+	1.36125i	−0.107338	+	0.0803520i
$288$	6.27469	+	38.2374i	0.369740	+	2.25316i
$289$	22.3324	−	34.7500i	1.31367	−	2.04412i
$290$	11.2832	+	8.77125i	0.662570	+	0.515065i
$291$	−12.1577	+	5.55222i	−0.712694	+	0.325477i
$292$	−3.20700	−	14.1987i	−0.187676	−	0.830914i
$293$	−1.45347	−	2.66184i	−0.0849129	−	0.155506i	0.831772	−	0.555118i	$-0.187327\pi$
$293$	−1.45347	−	2.66184i	−0.0849129	−	0.155506i	−0.916685	+	0.399611i	$0.869145\pi$
$294$	−8.67942	+	16.0463i	−0.506194	+	0.935838i
$295$	10.5021	−	18.2591i	0.611456	−	1.06309i
$296$	−3.04071	−	13.2180i	−0.176738	−	0.768282i
$297$	31.7140	+	23.7408i	1.84023	+	1.37758i
$298$	−14.7987	−	9.42773i	−0.857265	−	0.546134i
$299$	16.0992	+	0.0459218i	0.931042	+	0.00265573i
$300$	12.0303	−	28.9873i	0.694567	−	1.67358i
$301$	−1.98170	−	13.7830i	−0.114223	−	0.794439i
$302$	6.77018	−	4.38900i	0.389580	−	0.252559i
$303$	−16.2415	+	29.7440i	−0.933048	+	1.70875i
$304$	−0.742715	−	4.64127i	−0.0425976	−	0.266195i
$305$	−21.2530	+	11.0007i	−1.21694	+	0.629900i
$306$	52.0971	−	52.5124i	2.97819	−	3.00193i
$307$	10.1906	−	27.3222i	0.581610	−	1.55936i	−0.228787	−	0.973477i	$-0.573476\pi$
$307$	10.1906	−	27.3222i	0.581610	−	1.55936i	0.810397	−	0.585881i	$-0.199251\pi$
$308$	3.97832	+	10.4130i	0.226686	+	0.593338i
$309$	−0.684302	+	1.06479i	−0.0389286	+	0.0605740i
$310$	0.0276439	+	0.519070i	0.00157007	+	0.0294812i
$311$	20.8672	+	3.00025i	1.18327	+	0.170128i	0.705729	−	0.708482i	$-0.250620\pi$
$311$	20.8672	+	3.00025i	1.18327	+	0.170128i	0.477540	+	0.878610i	$0.341529\pi$
$312$	22.7515	+	19.2447i	1.28805	+	1.08951i
$313$	1.44697	−	20.2313i	0.0817876	−	1.14354i	−0.776413	−	0.630225i	$-0.782963\pi$
$313$	1.44697	−	20.2313i	0.0817876	−	1.14354i	0.858200	−	0.513315i	$-0.171583\pi$
$314$	−3.27359	+	2.47092i	−0.184740	+	0.139442i
$315$	13.5879	+	22.2105i	0.765594	+	1.25142i
$316$	3.22430	+	21.2277i	0.181381	+	1.19415i
$317$	−0.526551	−	7.36214i	−0.0295740	−	0.413499i	−0.990577	−	0.136960i	$-0.956267\pi$
$317$	−0.526551	−	7.36214i	−0.0295740	−	0.413499i	0.961003	−	0.276539i	$-0.0891876\pi$
$318$	7.02170	−	24.2697i	0.393757	−	1.36098i
$319$	6.15549	−	13.4786i	0.344641	−	0.754659i
$320$	−10.7439	−	14.3027i	−0.600602	−	0.799548i
$321$	22.6735			1.26551
$322$	8.70490	−	7.55988i	0.485105	−	0.421296i
$323$	−6.34474	+	6.34474i	−0.353031	+	0.353031i
$324$	29.0771	−	19.0146i	1.61540	−	1.05637i
$325$	−5.16301	−	15.9709i	−0.286392	−	0.885904i
$326$	−15.5019	−	28.1235i	−0.858568	−	1.55762i
$327$	−12.2236	+	0.874249i	−0.675967	+	0.0483461i
$328$	−3.45635	−	1.52898i	−0.190845	−	0.0844238i
$329$	−5.79257	−	9.01342i	−0.319355	−	0.496926i
$330$	−32.1194	−	5.21615i	−1.76812	−	0.287140i
$331$	−2.38912	+	2.07019i	−0.131318	+	0.113788i	−0.718044	−	0.695998i	$-0.754962\pi$
$331$	−2.38912	+	2.07019i	−0.131318	+	0.113788i	0.586726	+	0.809786i	$0.300417\pi$
$332$	−11.0680	−	14.5430i	−0.607438	−	0.798153i
$333$	−26.2958	+	19.6848i	−1.44100	+	1.07872i
$334$	−1.27057	−	16.8260i	−0.0695227	−	0.920676i
$335$	−22.9054	−	15.4482i	−1.25146	−	0.844026i
$336$	21.3377	−	0.338857i	1.16407	−	0.0184861i
$337$	10.6565	+	3.97468i	0.580498	+	0.216515i	0.622522	−	0.782602i	$-0.286108\pi$
$337$	10.6565	+	3.97468i	0.580498	+	0.216515i	−0.0420242	+	0.999117i	$0.513381\pi$
$338$	−2.44799	+	0.00971814i	−0.133153	+	0.000528597i
$339$	18.9917	+	5.57647i	1.03149	+	0.302872i
$340$	−10.0859	+	32.6255i	−0.546986	+	1.76936i
$341$	0.517116	−	0.151839i	0.0280034	−	0.00822254i
$342$	−9.55166	+	6.19220i	−0.516495	+	0.334836i
$343$	15.1195	+	11.3183i	0.816375	+	0.611130i
$344$	18.3809	−	14.1045i	0.991033	−	0.760462i
$345$	6.32928	+	33.0557i	0.340757	+	1.77966i
$346$	−9.66207	+	2.14206i	−0.519436	+	0.115158i
$347$	−18.8693	+	25.2064i	−1.01296	+	1.35315i	−0.0785638	+	0.996909i	$0.525033\pi$
$347$	−18.8693	+	25.2064i	−1.01296	+	1.35315i	−0.934393	+	0.356243i	$0.884057\pi$
$348$	−20.2175	−	19.8989i	−1.08377	−	1.06670i
$349$	−9.31233	−	31.7149i	−0.498478	−	1.69766i	−0.696581	−	0.717478i	$-0.745296\pi$
$349$	−9.31233	−	31.7149i	−0.498478	−	1.69766i	0.198104	−	0.980181i	$-0.436522\pi$
$350$	−10.3089	−	6.18164i	−0.551034	−	0.330422i
$351$	11.4273	−	38.9177i	0.609942	−	2.07727i
$352$	−11.8653	+	14.2554i	−0.632421	+	0.759815i
$353$	2.39978	−	6.43407i	0.127728	−	0.342451i	−0.857308	−	0.514805i	$-0.827864\pi$
$353$	2.39978	−	6.43407i	0.127728	−	0.342451i	0.985035	+	0.172354i	$0.0551372\pi$
$354$	−24.9230	+	33.5702i	−1.32464	+	1.78424i
$355$	−3.94467	−	20.2882i	−0.209361	−	1.07678i
$356$	0.819871	+	2.71237i	0.0434531	+	0.143755i
$357$	−24.4137	−	32.6128i	−1.29211	−	1.72605i
$358$	−15.3227	+	7.07127i	−0.809827	+	0.373728i
$359$	2.50984	+	2.89651i	0.132464	+	0.152872i	0.818106	−	0.575067i	$-0.195024\pi$
$359$	2.50984	+	2.89651i	0.132464	+	0.152872i	−0.685642	+	0.727939i	$0.740479\pi$
$360$	−21.1510	+	37.8083i	−1.11476	+	1.99267i
$361$	−14.8222	+	9.52565i	−0.780116	+	0.501350i
$362$	5.83034	−	5.09268i	0.306436	−	0.267665i
$363$	−0.0559661	−	0.782509i	−0.00293746	−	0.0410710i
$364$	8.56577	−	7.54218i	0.448968	−	0.395318i
$365$	7.08708	−	14.6503i	0.370955	−	0.766833i
$366$	44.4406	−	16.7768i	2.32295	−	0.876936i
$367$	−8.44024	−	8.44024i	−0.440577	−	0.440577i	0.451629	−	0.892206i	$-0.350843\pi$
$367$	−8.44024	−	8.44024i	−0.440577	−	0.440577i	−0.892206	+	0.451629i	$0.850843\pi$
$368$	18.0596	+	6.46918i	0.941423	+	0.337229i
$369$			9.15302i			0.476487i
$370$	6.54933	−	13.6769i	0.340484	−	0.711031i
$371$	−8.80205	−	4.01976i	−0.456979	−	0.208696i
$372$	0.0654330	−	1.02970i	0.00339254	−	0.0533876i
$373$	16.0036	−	1.14460i	0.828634	−	0.0592651i	0.349423	−	0.936965i	$-0.386377\pi$
$373$	16.0036	−	1.14460i	0.828634	−	0.0592651i	0.479211	+	0.877700i	$0.340923\pi$
$374$	35.3259	+	2.38564i	1.82666	+	0.123359i
$375$	30.7139	−	16.9674i	1.58606	−	0.876190i
$376$	8.35666	−	15.7471i	0.430962	−	0.812093i
$377$	−15.1325	−	1.08230i	−0.779362	−	0.0557411i
$378$	−12.1715	−	26.3742i	−0.626033	−	1.35654i
$379$	4.01119	−	27.8984i	0.206041	−	1.43305i	−0.579872	−	0.814708i	$-0.696897\pi$
$379$	4.01119	−	27.8984i	0.206041	−	1.43305i	0.785912	−	0.618338i	$-0.212194\pi$
$380$	2.58385	−	4.57601i	0.132549	−	0.234745i
$381$	23.3616	+	15.0136i	1.19685	+	0.769168i
$382$	−1.53004	−	10.3498i	−0.0782836	−	0.529543i
$383$	4.75499	+	1.77352i	0.242969	+	0.0906226i	0.467999	−	0.883729i	$-0.344975\pi$
$383$	4.75499	+	1.77352i	0.242969	+	0.0906226i	−0.225030	+	0.974352i	$0.572248\pi$
$384$	17.8763	+	30.6794i	0.912245	+	1.56560i
$385$	−3.77534	+	11.8773i	−0.192409	+	0.605322i
$386$	3.80388	−	7.03251i	0.193612	−	0.357945i
$387$	−49.2468	−	26.8908i	−2.50335	−	1.36693i
$388$	−5.97459	+	6.07022i	−0.303314	+	0.308169i
$389$	−29.6276	+	4.25980i	−1.50218	+	0.215981i	−0.843780	−	0.536689i	$-0.819675\pi$
$389$	−29.6276	+	4.25980i	−1.50218	+	0.215981i	−0.658398	+	0.752670i	$0.728766\pi$
$390$	6.48848	+	32.6785i	0.328557	+	1.65474i
$391$	−10.2170	−	35.1665i	−0.516693	−	1.77845i
$392$	−1.51734	+	11.5262i	−0.0766372	+	0.582160i
$393$	5.32664	−	7.11556i	0.268694	−	0.358933i
$394$	28.6931	+	6.12261i	1.44554	+	0.308453i
$395$	−11.9687	+	20.8090i	−0.602210	+	1.04701i
$396$	43.1974	+	12.3122i	2.17075	+	0.618712i
$397$	−7.84782	+	4.28523i	−0.393871	+	0.215070i	−0.663964	−	0.747764i	$-0.731127\pi$
$397$	−7.84782	+	4.28523i	−0.393871	+	0.215070i	0.270093	+	0.962834i	$0.412945\pi$
$398$	0.0594300	+	14.9704i	0.00297895	+	0.750396i
$399$	2.60431	+	5.70264i	0.130379	+	0.285489i
$400$	0.568870	−	19.9919i	0.0284435	−	0.999595i
$401$	−0.0133574	−	0.00858430i	−0.000667038	−	0.000428679i	0.540307	−	0.841468i	$-0.318308\pi$
$401$	−0.0133574	−	0.00858430i	−0.000667038	−	0.000428679i	−0.540974	+	0.841039i	$0.681944\pi$
$402$	41.5872	+	35.7475i	2.07418	+	1.78292i
$403$	−0.330683	−	0.441741i	−0.0164725	−	0.0220047i
$404$	−2.90365	+	21.4002i	−0.144462	+	1.06470i
$405$	38.6733	+	3.62899i	1.92169	+	0.180326i
$406$	−8.67173	+	6.54545i	−0.430371	+	0.324845i
$407$	−15.3633	−	3.34208i	−0.761530	−	0.165661i
$408$	27.4219	−	61.9887i	1.35758	−	3.06890i
$409$	3.03234	+	2.62754i	0.149939	+	0.129923i	0.726600	−	0.687060i	$-0.241099\pi$
$409$	3.03234	+	2.62754i	0.149939	+	0.129923i	−0.576661	+	0.816984i	$0.695645\pi$
$410$	−1.95728	−	3.74489i	−0.0966631	−	0.184947i
$411$	32.6542	+	14.9127i	1.61071	+	0.735587i
$412$	−0.165190	+	0.789494i	−0.00813834	+	0.0388956i
$413$	11.3231	+	11.3231i	0.557176	+	0.557176i
$414$	−3.36606	−	46.3360i	−0.165433	−	2.27729i
$415$	0.452823	−	20.4278i	0.0222282	−	1.00276i
$416$	17.9206	+	6.28177i	0.878629	+	0.307989i
$417$	20.1902	+	54.1320i	0.988717	+	2.65085i
$418$	−5.23397	−	1.51429i	−0.256002	−	0.0740663i
$419$	−11.3220	+	13.0663i	−0.553115	+	0.638328i	−0.961606	−	0.274434i	$-0.911510\pi$
$419$	−11.3220	+	13.0663i	−0.553115	+	0.638328i	0.408491	+	0.912762i	$0.366055\pi$
$420$	18.8951	+	14.5686i	0.921985	+	0.710874i
$421$	5.29524	−	3.40304i	0.258074	−	0.165854i	−0.405206	−	0.914225i	$-0.632800\pi$
$421$	5.29524	−	3.40304i	0.258074	−	0.165854i	0.663280	+	0.748371i	$0.269164\pi$
$422$	−3.59422	+	25.7228i	−0.174964	+	1.25217i
$423$	−43.0635	−	3.07997i	−2.09382	−	0.149753i
$424$	−1.33976	−	16.0445i	−0.0650643	−	0.779190i
$425$	−31.5482	+	21.5034i	−1.53031	+	1.04307i
$426$	3.08909	+	40.9083i	0.149667	+	1.98201i
$427$	−3.86724	−	17.7774i	−0.187149	−	0.860309i
$428$	13.4973	−	5.15668i	0.652418	−	0.249258i
$429$	31.4216	−	14.3498i	1.51705	−	0.692814i
$430$	25.8992	+	0.471250i	1.24897	+	0.0227257i
$431$	−0.536432	+	1.82692i	−0.0258390	+	0.0879996i	−0.971403	−	0.237436i	$-0.923693\pi$
$431$	−0.536432	+	1.82692i	−0.0258390	+	0.0879996i	0.945564	+	0.325436i	$0.105511\pi$
$432$	28.3455	−	39.1457i	1.36377	−	1.88340i
$433$	8.48132	+	4.63115i	0.407586	+	0.222559i	0.669944	−	0.742412i	$-0.266318\pi$
$433$	8.48132	+	4.63115i	0.407586	+	0.222559i	−0.262357	+	0.964971i	$0.584500\pi$
$434$	−0.386470	−	0.0824659i	−0.0185511	−	0.00395849i
$435$	−3.81680	−	31.4853i	−0.183002	−	1.50960i
$436$	−7.07776	+	3.30047i	−0.338963	+	0.158064i
$437$	0.385995	+	5.62225i	0.0184647	+	0.268948i
$438$	−17.3567	+	27.2447i	−0.829335	+	1.30180i
$439$	0.109471	+	0.761388i	0.00522477	+	0.0363391i	0.992267	−	0.124121i	$-0.0396112\pi$
$439$	0.109471	+	0.761388i	0.00522477	+	0.0363391i	−0.987042	+	0.160460i	$0.948702\pi$
$440$	−20.3067	+	4.19986i	−0.968085	+	0.200220i
$441$	27.0144	−	7.93216i	1.28640	−	0.377722i
$442$	−10.3511	−	34.7417i	−0.492350	−	1.65249i
$443$	−14.6261	+	7.98644i	−0.694906	+	0.379447i	−0.787549	−	0.616252i	$-0.788650\pi$
$443$	−14.6261	+	7.98644i	−0.694906	+	0.379447i	0.0926432	+	0.995699i	$0.470468\pi$
$444$	−16.0717	+	25.4500i	−0.762727	+	1.20780i
$445$	−1.17262	+	2.94302i	−0.0555877	+	0.139513i
$446$	−6.67156	+	8.98630i	−0.315908	+	0.425514i
$447$	8.27724	+	38.0499i	0.391500	+	1.79970i
$448$	12.6251	−	5.05460i	0.596480	−	0.238808i
$449$	21.0176	+	3.02188i	0.991883	+	0.142611i	0.619104	−	0.785309i	$-0.287496\pi$
$449$	21.0176	+	3.02188i	0.991883	+	0.142611i	0.372779	+	0.927920i	$0.378405\pi$
$450$	−44.8348	+	18.3270i	−2.11353	+	0.863945i
$451$	−3.31104	+	2.86903i	−0.155911	+	0.135097i
$452$	12.5739	−	0.999701i	0.591424	−	0.0470220i
$453$	−17.4963	−	3.80609i	−0.822048	−	0.178826i
$454$	−15.7531	−	1.06385i	−0.739331	−	0.0499288i
$455$	12.7447	−	0.628011i	0.597480	−	0.0294416i
$456$	−6.15120	+	8.42433i	−0.288056	+	0.394505i
$457$	−1.25618	−	3.36794i	−0.0587615	−	0.157546i	0.904252	−	0.427000i	$-0.140429\pi$
$457$	−1.25618	−	3.36794i	−0.0587615	−	0.157546i	−0.963013	+	0.269454i	$0.913157\pi$
$458$	10.9013	−	24.1234i	0.509383	−	1.12721i
$459$	−92.2623			−4.30643
$460$	11.2857	+	18.2382i	0.526197	+	0.850362i
$461$	−1.94623			−0.0906449			−0.0453224	−	0.998972i	$-0.514432\pi$
$461$	−1.94623			−0.0906449			−0.0453224	+	0.998972i	$0.514432\pi$
$462$	10.1871	−	22.5430i	0.473946	−	1.04880i
$463$	7.69410	+	20.6287i	0.357575	+	0.958696i	0.983834	+	0.179081i	$0.0573124\pi$
$463$	7.69410	+	20.6287i	0.357575	+	0.958696i	−0.626259	+	0.779615i	$0.715415\pi$
$464$	−16.5609	−	7.24756i	−0.768821	−	0.336459i
$465$	0.774559	−	0.854850i	0.0359193	−	0.0396427i
$466$	−18.7147	−	1.26385i	−0.866940	−	0.0585466i
$467$	4.86616	+	1.05857i	0.225179	+	0.0489847i	0.323739	−	0.946146i	$-0.395060\pi$
$467$	4.86616	+	1.05857i	0.225179	+	0.0489847i	−0.0985601	+	0.995131i	$0.531424\pi$
$468$	−3.64493	−	45.8445i	−0.168487	−	2.11916i
$469$	15.8734	−	13.7544i	0.732965	−	0.635118i
$470$	18.2777	−	7.94854i	0.843089	−	0.366639i
$471$	9.00937	+	1.29535i	0.415130	+	0.0596867i
$472$	−7.20149	+	25.6523i	−0.331476	+	1.18074i
$473$	−5.70895	−	26.2436i	−0.262498	−	1.20668i
$474$	28.4035	−	38.2582i	1.30461	−	1.75726i
$475$	5.44735	−	2.20151i	0.249942	−	0.101012i
$476$	−21.9504	−	13.8617i	−1.00610	−	0.635349i
$477$	−34.2223	+	18.6868i	−1.56693	+	0.855608i
$478$	−0.162112	−	0.544102i	−0.00741482	−	0.0248866i
$479$	13.6638	−	4.01205i	0.624315	−	0.183315i	0.0457516	−	0.998953i	$-0.485432\pi$
$479$	13.6638	−	4.01205i	0.624315	−	0.183315i	0.578563	+	0.815637i	$0.303614\pi$
$480$	−5.74062	+	39.2814i	−0.262022	+	1.79294i
$481$	2.29093	+	15.9338i	0.104457	+	0.726518i
$482$	−12.3763	+	19.4270i	−0.563724	+	0.884876i
$483$	−25.5158	−	1.89809i	−1.16101	−	0.0863663i
$484$	−0.211284	−	0.453092i	−0.00960380	−	0.0205951i
$485$	−9.45335	+	1.14598i	−0.429255	+	0.0520364i
$486$	−25.2698	−	5.39213i	−1.14626	−	0.244592i
$487$	32.3313	+	17.6542i	1.46507	+	0.799988i	0.996512	−	0.0834453i	$-0.0265924\pi$
$487$	32.3313	+	17.6542i	1.46507	+	0.799988i	0.468557	+	0.883433i	$0.344774\pi$
$488$	22.6395	−	20.0943i	1.02484	−	0.909625i
$489$	−20.0779	+	68.3789i	−0.907952	+	3.09220i
$490$	−9.35655	+	9.02214i	−0.422686	+	0.407579i
$491$	−0.296197	+	0.135269i	−0.0133672	+	0.00610459i	−0.422087	−	0.906555i	$-0.638702\pi$
$491$	−0.296197	+	0.135269i	−0.0133672	+	0.00610459i	0.408720	+	0.912660i	$0.365975\pi$
$492$	2.99340	+	7.83505i	0.134953	+	0.353231i
$493$	7.33549	+	33.7207i	0.330374	+	1.51870i
$494$	0.420059	+	5.56276i	0.0188993	+	0.250280i
$495$	29.1971	+	40.8599i	1.31231	+	1.83652i
$496$	−0.195236	−	0.627854i	−0.00876634	−	0.0281915i
$497$	15.6724	+	1.12091i	0.703003	+	0.0502798i
$498$	−5.61257	+	40.1676i	−0.251505	+	1.79995i
$499$	−30.4810	+	19.5889i	−1.36452	+	0.876922i	−0.998557	−	0.0537089i	$-0.982896\pi$
$499$	−30.4810	+	19.5889i	−1.36452	+	0.876922i	−0.365960	+	0.930631i	$0.619259\pi$
$500$	14.4248	−	17.0858i	0.645096	−	0.764102i
$501$	−24.5225	+	28.3004i	−1.09558	+	1.26437i
$502$	3.77274	+	1.09153i	0.168386	+	0.0487172i
$503$	−7.71893	−	20.6953i	−0.344170	−	0.922756i	−0.987564	−	0.157220i	$-0.949747\pi$
$503$	−7.71893	−	20.6953i	−0.344170	−	0.922756i	0.643393	−	0.765536i	$-0.277526\pi$
$504$	−23.5642	−	23.0095i	−1.04963	−	1.02492i
$505$	−17.4475	+	16.6908i	−0.776404	+	0.742730i
$506$	15.7066	−	15.7418i	0.698245	−	0.699807i
$507$	3.84148	+	3.84148i	0.170606	+	0.170606i
$508$	17.3215	+	3.62427i	0.768517	+	0.160801i
$509$	−16.9527	−	7.74204i	−0.751415	−	0.343160i	0.00261765	−	0.999997i	$-0.499167\pi$
$509$	−16.9527	−	7.74204i	−0.751415	−	0.343160i	−0.754033	+	0.656837i	$0.771894\pi$
$510$	67.1637	−	35.1033i	2.97406	−	1.55440i
$511$	9.35035	+	8.10213i	0.413635	+	0.358417i
$512$	17.6191	+	14.1975i	0.778659	+	0.627447i
$513$	13.8736	+	3.01802i	0.612535	+	0.133249i
$514$	32.0237	−	24.1716i	1.41251	−	1.06616i
$515$	−0.694452	+	0.575302i	−0.0306012	+	0.0253508i
$516$	−50.9499	−	6.91306i	−2.24294	−	0.304331i
$517$	−12.3842	−	16.5433i	−0.544656	−	0.727576i
$518$	8.74234	+	7.51473i	0.384117	+	0.330178i
$519$	18.4764	+	11.8740i	0.811022	+	0.521212i
$520$	11.2947	+	17.9775i	0.495304	+	0.788365i
$521$	0.737472	+	1.61484i	0.0323093	+	0.0707474i	0.925099	−	0.379727i	$-0.123982\pi$
$521$	0.737472	+	1.61484i	0.0323093	+	0.0707474i	−0.892789	+	0.450474i	$0.851255\pi$
$522$	0.173797	+	43.7794i	0.00760690	+	1.91617i
$523$	−3.68380	+	2.01151i	−0.161081	+	0.0879570i	−0.557767	−	0.829997i	$-0.688342\pi$
$523$	−3.68380	+	2.01151i	−0.161081	+	0.0879570i	0.396686	+	0.917954i	$0.370160\pi$
$524$	1.55259	−	5.44728i	0.0678254	−	0.237965i
$525$	6.37382	+	25.9029i	0.278176	+	1.13049i
$526$	−35.7465	−	7.62768i	−1.55862	−	0.332583i
$527$	−0.752196	+	1.00482i	−0.0327662	+	0.0437705i
$528$	41.0038	−	3.58789i	1.78446	−	0.156143i
$529$	−20.8667	−	9.67374i	−0.907247	−	0.420598i
$530$	10.0058	−	14.9636i	0.434625	−	0.649978i
$531$	63.8696	−	9.18306i	2.77170	−	0.398511i
$532$	2.84728	+	2.80243i	0.123445	+	0.121501i
$533$	3.93695	+	2.14974i	0.170528	+	0.0931155i
$534$	2.99174	−	5.53105i	0.129465	−	0.239352i
$535$	15.3953	+	4.89358i	0.665596	+	0.211568i
$536$	32.8866	+	11.8219i	1.42049	+	0.510627i
$537$	35.0894	+	13.0877i	1.51422	+	0.564775i
$538$	5.05055	+	34.1640i	0.217745	+	1.47291i
$539$	11.3371	+	7.28593i	0.488325	+	0.313827i
$540$	52.0578	−	14.4845i	2.24021	−	0.623315i
$541$	1.26860	−	8.82329i	0.0545413	−	0.379343i	−0.944208	−	0.329349i	$-0.893171\pi$
$541$	1.26860	−	8.82329i	0.0545413	−	0.379343i	0.998750	−	0.0499939i	$-0.0159202\pi$
$542$	−8.94638	−	19.3858i	−0.384280	−	0.832692i
$543$	−17.1360	−	1.22559i	−0.735374	−	0.0525950i
$544$	2.22576	−	43.1379i	0.0954288	−	1.84952i
$545$	−8.48849	−	2.04458i	−0.363607	−	0.0875803i
$546$	−25.2704	−	1.70657i	−1.08148	−	0.0730346i
$547$	−1.04266	+	0.0745723i	−0.0445808	+	0.00318848i	−0.0936118	−	0.995609i	$-0.529841\pi$
$547$	−1.04266	+	0.0745723i	−0.0445808	+	0.00318848i	0.0490310	+	0.998797i	$0.484387\pi$
$548$	22.8303	+	1.45077i	0.975264	+	0.0619736i
$549$	−66.6852	−	30.4541i	−2.84605	−	1.29975i
$550$	−20.6832	−	10.4740i	−0.881936	−	0.446614i
$551$		−	5.31058i		−	0.226238i
$552$	−18.0351	−	38.5631i	−0.767623	−	1.64136i
$553$	−12.9044	−	12.9044i	−0.548751	−	0.548751i
$554$	−4.72578	+	1.78403i	−0.200779	+	0.0757961i
$555$	−31.7838	+	11.0587i	−1.34915	+	0.469418i
$556$	24.3304	+	27.6324i	1.03184	+	1.17187i
$557$	−3.34065	−	46.7085i	−0.141548	−	1.97910i	−0.196077	−	0.980588i	$-0.562820\pi$
$557$	−3.34065	−	46.7085i	−0.141548	−	1.97910i	0.0545293	−	0.998512i	$-0.482634\pi$
$558$	−1.19927	+	1.04754i	−0.0507692	+	0.0443458i
$559$	−23.1328	+	14.8666i	−0.978414	+	0.628788i
$560$	14.5614	+	4.37520i	0.615333	+	0.184886i
$561$	−51.4554	−	59.3827i	−2.17245	−	2.50714i
$562$	10.9603	−	5.05808i	0.462333	−	0.213362i
$563$	10.7885	+	14.4117i	0.454680	+	0.607382i	0.968041	−	0.250791i	$-0.0806906\pi$
$563$	10.7885	+	14.4117i	0.454680	+	0.607382i	−0.513361	+	0.858173i	$0.671600\pi$
$564$	−37.8699	+	11.4470i	−1.59461	+	0.482005i
$565$	11.6918	+	7.88535i	0.491877	+	0.331739i
$566$	4.76108	−	6.41297i	0.200123	−	0.269557i
$567$	−10.3195	+	27.6678i	−0.433380	+	1.16194i
$568$	11.1428	+	23.6498i	0.467540	+	0.992322i
$569$	6.78455	−	23.1061i	0.284423	−	0.968657i	−0.686071	−	0.727534i	$-0.740666\pi$
$569$	6.78455	−	23.1061i	0.284423	−	0.968657i	0.970495	−	0.241122i	$-0.0775156\pi$
$570$	−11.2478	+	3.08152i	−0.471117	+	0.129071i
$571$	−0.253555	−	0.863529i	−0.0106109	−	0.0361376i	0.954017	−	0.299751i	$-0.0969037\pi$
$571$	−0.253555	−	0.863529i	−0.0106109	−	0.0361376i	−0.964628	+	0.263614i	$0.915086\pi$
$572$	15.4414	−	15.6886i	0.645638	−	0.655972i
$573$	−13.9141	+	18.5871i	−0.581271	+	0.776487i
$574$	3.13621	−	0.695292i	0.130903	−	0.0290209i
$575$	−2.83676	+	23.8108i	−0.118301	+	0.992978i
$576$	14.1820	−	52.9321i	0.590918	−	2.20550i
$577$	−37.5840	−	28.1350i	−1.56464	−	1.17128i	−0.909450	−	0.415813i	$-0.863497\pi$
$577$	−37.5840	−	28.1350i	−1.56464	−	1.17128i	−0.655191	−	0.755463i	$-0.727412\pi$
$578$	−49.0181	+	31.7777i	−2.03888	+	1.32178i
$579$	−17.0247	+	4.99891i	−0.707523	+	0.207748i
$580$	−9.43287	−	17.8748i	−0.391679	−	0.742212i
$581$	14.9044	+	4.37632i	0.618338	+	0.181560i
$582$	18.9015	−	0.0750359i	0.783491	−	0.00311034i
$583$	−17.4868	−	6.52225i	−0.724231	−	0.270124i
$584$	−4.13595	+	20.1660i	−0.171147	+	0.834475i
$585$	28.7501	−	42.6284i	1.18867	−	1.76247i
$586$	0.322958	+	4.27688i	0.0133413	+	0.176676i
$587$	14.9587	−	11.1980i	0.617413	−	0.462189i	−0.244221	−	0.969720i	$-0.578532\pi$
$587$	14.9587	−	11.1980i	0.617413	−	0.462189i	0.861634	+	0.507530i	$0.169441\pi$
$588$	20.5304	−	15.6248i	0.846660	−	0.644354i
$589$	0.145978	−	0.126490i	0.00601490	−	0.00521194i
$590$	−24.1681	+	17.4150i	−0.994983	+	0.716965i
$591$	−35.2010	−	54.7739i	−1.44798	−	2.25310i
$592$	−3.77916	+	18.8054i	−0.155323	+	0.772896i
$593$	19.5092	−	1.39532i	0.801146	−	0.0572991i	0.335240	−	0.942133i	$-0.391183\pi$
$593$	19.5092	−	1.39532i	0.801146	−	0.0572991i	0.465907	+	0.884834i	$0.345728\pi$
$594$	−27.0449	−	49.0650i	−1.10967	−	2.01316i
$595$	−9.53808	−	27.4132i	−0.391023	−	1.12383i
$596$	13.5811	+	20.7682i	0.556305	+	0.850700i
$597$	23.4921	−	23.4921i	0.961466	−	0.961466i
$598$	−20.7209	−	9.43495i	−0.847340	−	0.385824i
$599$	−44.4078			−1.81445			−0.907227	−	0.420642i	$-0.861805\pi$
$599$	−44.4078			−1.81445			−0.907227	+	0.420642i	$0.861805\pi$
$600$	−32.3852	+	30.3508i	−1.32212	+	1.23907i
$601$	−11.5921	+	25.3832i	−0.472853	+	1.03540i	0.511514	+	0.859275i	$0.329085\pi$
$601$	−11.5921	+	25.3832i	−0.472853	+	1.03540i	−0.984367	+	0.176128i	$0.943643\pi$
$602$	−5.47298	+	18.9167i	−0.223062	+	0.770989i
$603$	−6.03775	−	84.4187i	−0.245876	−	3.43780i
$604$	−11.2810	+	1.71349i	−0.459018	+	0.0697209i
$605$	0.130886	−	0.543401i	0.00532129	−	0.0220924i
$606$	38.2531	−	28.8736i	1.55393	−	1.17291i
$607$	0.679398	−	9.49923i	0.0275759	−	0.385562i	−0.964857	−	0.262775i	$-0.915362\pi$
$607$	0.679398	−	9.49923i	0.0275759	−	0.385562i	0.992433	−	0.122787i	$-0.0391831\pi$
$608$	−1.74579	+	6.41390i	−0.0708011	+	0.260118i
$609$	23.8658	+	3.43138i	0.967090	+	0.139046i
$610$	33.7960	−	1.79986i	1.36836	−	0.0728742i
$611$	−11.4390	+	17.7994i	−0.462770	+	0.720085i
$612$	−97.7213	+	37.3346i	−3.95015	+	1.50916i
$613$	11.7086	−	31.3921i	0.472908	−	1.26791i	−0.453454	−	0.891280i	$-0.649808\pi$
$613$	11.7086	−	31.3921i	0.472908	−	1.26791i	0.926362	−	0.376635i	$-0.122919\pi$
$614$	−29.0448	+	29.2763i	−1.17215	+	1.18149i
$615$	−2.84067	+	8.93678i	−0.114547	+	0.360366i
$616$	0.937278	−	15.7365i	0.0377640	−	0.634043i
$617$	−6.12209	+	11.2118i	−0.246466	+	0.451369i	−0.971400	−	0.237449i	$-0.923689\pi$
$617$	−6.12209	+	11.2118i	−0.246466	+	0.451369i	0.724934	+	0.688819i	$0.241870\pi$
$618$	1.50199	−	0.973719i	0.0604190	−	0.0391687i
$619$	−0.0497499	−	0.346018i	−0.00199962	−	0.0139076i	0.988797	−	0.149265i	$-0.0476908\pi$
$619$	−0.0497499	−	0.346018i	−0.00199962	−	0.0139076i	−0.990797	+	0.135358i	$0.956782\pi$
$620$	0.266667	−	0.685044i	0.0107096	−	0.0275120i
$621$	−38.0716	+	43.6845i	−1.52776	+	1.75300i
$622$	−25.1450	−	16.0190i	−1.00822	−	0.642305i
$623$	−1.92804	−	1.44331i	−0.0772453	−	0.0578251i
$624$	−18.1130	−	38.0512i	−0.725101	−	1.52327i
$625$	24.5167	−	4.89188i	0.980669	−	0.195675i
$626$	−13.6469	+	25.2301i	−0.545442	+	1.00840i
$627$	5.79494	+	10.6126i	0.231427	+	0.423828i
$628$	5.65780	−	1.27791i	0.225771	−	0.0509941i
$629$	33.3079	−	15.2112i	1.32807	−	0.606510i
$630$	−4.57642	−	36.5368i	−0.182329	−	1.45566i
$631$	−18.5938	+	28.9325i	−0.740208	+	1.15179i	0.243129	+	0.969994i	$0.421826\pi$
$631$	−18.5938	+	28.9325i	−0.740208	+	1.15179i	−0.983337	+	0.181792i	$0.941810\pi$
$632$	8.20717	−	29.2346i	0.326464	−	1.16289i
$633$	46.1426	−	34.5419i	1.83400	−	1.37292i
$634$	−3.60893	+	9.79450i	−0.143329	+	0.388989i
$635$	12.6221	+	15.2363i	0.500893	+	0.604633i
$636$	−23.1832	+	27.1880i	−0.919273	+	1.07807i
$637$	2.93296	−	13.4826i	0.116208	−	0.534200i
$638$	−15.7824	+	13.7856i	−0.624831	+	0.545777i
$639$	41.4617	−	47.8494i	1.64020	−	1.89289i
$640$	5.51650	+	24.6894i	0.218059	+	0.975936i
$641$	18.3941	−	40.2775i	0.726523	−	1.59086i	−0.0780070	−	0.996953i	$-0.524856\pi$
$641$	18.3941	−	40.2775i	0.726523	−	1.59086i	0.804530	−	0.593911i	$-0.202417\pi$
$642$	−29.2202	−	13.2045i	−1.15323	−	0.521139i
$643$	29.5905	−	29.5905i	1.16693	−	1.16693i	0.184010	−	0.982924i	$-0.441092\pi$
$643$	29.5905	−	29.5905i	1.16693	−	1.16693i	0.982924	−	0.184010i	$-0.0589078\pi$
$644$	−15.6210	+	4.67319i	−0.615554	+	0.184149i
$645$	−39.7377	−	41.5393i	−1.56467	−	1.63561i
$646$	11.8717	−	4.48168i	0.467086	−	0.176329i
$647$	15.7810	−	5.88601i	0.620415	−	0.231403i	−0.0195476	−	0.999809i	$-0.506223\pi$
$647$	15.7810	−	5.88601i	0.620415	−	0.231403i	0.639962	+	0.768406i	$0.278950\pi$
$648$	−48.5463	+	7.57106i	−1.90708	+	0.297419i
$649$	23.3420	+	20.2259i	0.916252	+	0.793937i
$650$	−2.64726	+	23.5890i	−0.103834	+	0.925237i
$651$	0.474126	+	0.737754i	0.0185825	+	0.0289149i
$652$	3.59939	+	45.2717i	0.140963	+	1.77298i
$653$	−1.16547	+	16.2954i	−0.0456083	+	0.637687i	0.922315	+	0.386440i	$0.126295\pi$
$653$	−1.16547	+	16.2954i	−0.0456083	+	0.637687i	−0.967923	+	0.251247i	$0.919159\pi$
$654$	16.2621	+	5.99203i	0.635900	+	0.234307i
$655$	5.15252	−	3.68182i	0.201326	−	0.143860i
$656$	3.56388	+	3.98334i	0.139146	+	0.155523i
$657$	48.7152	−	10.5974i	1.90056	−	0.413442i
$658$	2.21592	+	14.9894i	0.0863854	+	0.584346i
$659$	14.7993	+	32.4059i	0.576497	+	1.26235i	0.943265	+	0.332041i	$0.107737\pi$
$659$	14.7993	+	32.4059i	0.576497	+	1.26235i	−0.366768	+	0.930313i	$0.619536\pi$
$660$	38.3557	+	25.4278i	1.49299	+	0.989774i
$661$	30.3061	+	8.89868i	1.17877	+	0.346119i	0.811700	−	0.584074i	$-0.198542\pi$
$661$	30.3061	+	8.89868i	1.17877	+	0.346119i	0.367071	+	0.930193i	$0.380360\pi$
$662$	4.28457	−	1.27656i	0.166525	−	0.0496150i
$663$	−38.5550	+	70.6082i	−1.49735	+	2.74220i
$664$	5.79429	+	25.1879i	0.224862	+	0.977479i
$665$	0.537532	+	4.43417i	0.0208446	+	0.171950i
$666$	45.3522	−	10.0545i	1.75736	−	0.389604i
$667$	18.9931	+	10.4415i	0.735416	+	0.404295i
$668$	−8.16157	+	22.4242i	−0.315781	+	0.867617i
$669$	24.5850	−	3.53478i	0.950509	−	0.136663i
$670$	20.5224	+	33.2482i	0.792848	+	1.28449i
$671$	−9.88604	−	33.6688i	−0.381646	−	1.29977i
$672$	−27.6961	−	11.9899i	−1.06840	−	0.462519i
$673$	−14.1675	−	25.9458i	−0.546117	−	1.00014i	−0.994343	−	0.106218i	$-0.966126\pi$
$673$	−14.1675	−	25.9458i	−0.546117	−	1.00014i	0.448226	−	0.893920i	$-0.352056\pi$
$674$	−11.4187	−	11.3284i	−0.439832	−	0.436354i
$675$	55.6131	+	23.5998i	2.14055	+	0.908357i
$676$	3.16047	+	1.41312i	0.121557	+	0.0543509i
$677$	−43.1010	+	9.37605i	−1.65651	+	0.360351i	−0.941040	−	0.338297i	$-0.890149\pi$
$677$	−43.1010	+	9.37605i	−1.65651	+	0.360351i	−0.715466	+	0.698647i	$0.753786\pi$
$678$	−21.2277	−	18.2469i	−0.815245	−	0.700767i
$679$	1.03026	−	7.16561i	0.0395377	−	0.274991i
$680$	31.9983	−	36.1718i	1.22708	−	1.38713i
$681$	22.9459	+	26.4809i	0.879288	+	1.01475i
$682$	−0.754853	−	0.105475i	−0.0289048	−	0.00403883i
$683$	4.60974	−	21.1906i	0.176387	−	0.810837i	−0.800880	−	0.598825i	$-0.795635\pi$
$683$	4.60974	−	21.1906i	0.176387	−	0.810837i	0.977267	−	0.212012i	$-0.0680017\pi$
$684$	15.9157	−	2.41747i	0.608554	−	0.0924341i
$685$	18.9536	+	17.1734i	0.724178	+	0.656160i
$686$	−12.8935	−	23.3915i	−0.492277	−	0.893091i
$687$	−55.0436	+	20.5302i	−2.10004	+	0.783276i
$688$	−31.9022	+	7.47235i	−1.21626	+	0.284881i
$689$			19.1088i			0.727986i
$690$	11.0940	−	46.2860i	0.422341	−	1.76208i
$691$		−	22.0878i		−	0.840258i	−0.907464	−	0.420129i	$-0.861985\pi$
$691$		−	22.0878i		−	0.840258i	0.907464	−	0.420129i	$-0.138015\pi$
$692$	13.6993	+	2.86639i	0.520771	+	0.108964i
$693$	−35.7711	+	13.3419i	−1.35883	+	0.506818i
$694$	38.9971	−	21.4954i	1.48031	−	0.815956i
$695$	2.02590	+	41.1131i	0.0768469	+	1.55951i
$696$	14.4663	+	37.4186i	0.548345	+	1.41835i
$697$	2.16888	−	9.97019i	0.0821522	−	0.377648i
$698$	−6.46879	+	46.2954i	−0.244847	+	1.75231i
$699$	27.2596	+	31.4593i	1.03105	+	1.18990i
$700$	9.68542	+	13.9701i	0.366074	+	0.528021i
$701$	3.17858	−	22.1075i	0.120053	−	0.834988i	−0.837439	−	0.546530i	$-0.815948\pi$
$701$	3.17858	−	22.1075i	0.120053	−	0.834988i	0.957493	−	0.288458i	$-0.0931425\pi$
$702$	−37.3914	+	43.4997i	−1.41125	+	1.64179i
$703$	−5.50613	+	1.19778i	−0.207667	+	0.0451753i
$704$	23.5932	−	11.4614i	0.889201	−	0.431968i
$705$	−41.0903	−	16.3721i	−1.54755	−	0.616609i
$706$	−6.83972	+	6.89424i	−0.257416	+	0.259468i
$707$	−8.79706	−	16.1106i	−0.330847	−	0.605902i
$708$	51.6696	−	28.7486i	1.94186	−	1.08044i
$709$	12.6311	+	43.0175i	0.474371	+	1.61556i	0.754988	+	0.655738i	$0.227643\pi$
$709$	12.6311	+	43.0175i	0.474371	+	1.61556i	−0.280618	+	0.959820i	$0.590539\pi$
$710$	−6.73166	+	28.4434i	−0.252635	+	1.06746i
$711$	−72.7889	+	10.4655i	−2.72980	+	0.392485i
$712$	0.523017	−	3.97300i	0.0196009	−	0.148895i
$713$	0.165373	+	0.770784i	0.00619325	+	0.0288661i
$714$	12.4699	+	56.2472i	0.466674	+	2.10500i
$715$	24.4323	−	2.96181i	0.913717	−	0.110765i
$716$	23.8650	−	0.189483i	0.891876	−	0.00708133i
$717$	−0.603824	+	1.10582i	−0.0225502	+	0.0412976i
$718$	−1.54767	−	5.19450i	−0.0577584	−	0.193857i
$719$	−37.2146	−	10.9272i	−1.38787	−	0.407516i	−0.499370	−	0.866389i	$-0.666435\pi$
$719$	−37.2146	−	10.9272i	−1.38787	−	0.407516i	−0.888502	+	0.458873i	$0.848253\pi$
$720$	49.2767	−	36.4071i	1.83643	−	1.35681i
$721$	−0.284796	−	0.623616i	−0.0106063	−	0.0232247i
$722$	24.6494	−	3.64398i	0.917356	−	0.135615i
$723$	49.9501	−	10.8660i	1.85766	−	0.404110i
$724$	−10.4796	+	3.16768i	−0.389472	+	0.117726i
$725$	4.20380	−	22.2022i	0.156125	−	0.824570i
$726$	−0.383587	+	1.04104i	−0.0142363	+	0.0386366i
$727$	−0.790253	+	11.0492i	−0.0293089	+	0.409791i	0.961526	+	0.274713i	$0.0885830\pi$
$727$	−0.790253	+	11.0492i	−0.0293089	+	0.409791i	−0.990835	+	0.135078i	$0.956872\pi$
$728$	−15.4314	+	4.73140i	−0.571925	+	0.175357i
$729$	2.82653	+	4.39816i	0.104686	+	0.162895i
$730$	−17.6653	+	14.7531i	−0.653824	+	0.546036i
$731$	47.2714	+	40.9609i	1.74840	+	1.51499i
$732$	−67.0426	−	4.26026i	−2.47797	−	0.157464i
$733$	−7.86545	+	2.93366i	−0.290517	+	0.108357i	−0.490497	−	0.871443i	$-0.663185\pi$
$733$	−7.86545	+	2.93366i	−0.290517	+	0.108357i	0.199980	+	0.979800i	$0.435912\pi$
$734$	5.96186	+	15.7926i	0.220056	+	0.582916i
$735$	28.8380	+	0.639251i	1.06371	+	0.0235791i
$736$	−19.5066	−	18.8545i	−0.719023	−	0.694987i
$737$	28.6453	−	28.6453i	1.05516	−	1.05516i
$738$	5.33048	−	11.7958i	0.196218	−	0.434211i
$739$	14.7838	−	32.3719i	0.543829	−	1.19082i	−0.415775	−	0.909467i	$-0.636490\pi$
$739$	14.7838	−	32.3719i	0.543829	−	1.19082i	0.959604	−	0.281353i	$-0.0907831\pi$
$740$	−16.4055	+	13.8118i	−0.603077	+	0.507732i
$741$	8.10726	−	9.35628i	0.297828	−	0.343711i
$742$	9.00251	+	10.3065i	0.330493	+	0.378363i
$743$	0.472513	−	2.17211i	0.0173348	−	0.0796869i	−0.967667	−	0.252232i	$-0.918835\pi$
$743$	0.472513	−	2.17211i	0.0173348	−	0.0796869i	0.985002	+	0.172545i	$0.0551990\pi$
$744$	−0.683998	+	1.28891i	−0.0250766	+	0.0472537i
$745$	−2.59199	+	27.6223i	−0.0949633	+	1.01200i
$746$	−21.2910	−	7.84499i	−0.779518	−	0.287225i
$747$	50.1084	−	37.5107i	1.83337	−	1.37244i
$748$	−44.1365	−	23.6474i	−1.61379	−	0.864633i
$749$	−6.63957	+	10.3314i	−0.242605	+	0.377500i
$750$	−49.4635	+	3.97946i	−1.80615	+	0.145309i
$751$	23.8098	−	10.8736i	0.868832	−	0.396782i	0.0694356	−	0.997586i	$-0.477880\pi$
$751$	23.8098	−	10.8736i	0.868832	−	0.396782i	0.799396	+	0.600804i	$0.205153\pi$
$752$	−19.9402	+	15.4271i	−0.727145	+	0.562569i
$753$	−4.17709	−	7.64977i	−0.152222	−	0.278773i
$754$	18.8715	+	10.2076i	0.687258	+	0.371737i
$755$	−11.0585	−	6.36052i	−0.402460	−	0.231483i
$756$	0.326150	+	41.0778i	0.0118619	+	1.49398i
$757$	9.81319	+	7.34606i	0.356666	+	0.266997i	0.762552	−	0.646927i	$-0.223946\pi$
$757$	9.81319	+	7.34606i	0.356666	+	0.266997i	−0.405886	+	0.913924i	$0.633037\pi$
$758$	−21.4167	+	33.6177i	−0.777889	+	1.22105i
$759$	−49.3495	−	0.140766i	−1.79127	−	0.00510947i
$760$	−5.99486	+	4.39250i	−0.217456	+	0.159333i
$761$	2.79900	+	19.4675i	0.101464	+	0.705696i	0.975526	+	0.219883i	$0.0705675\pi$
$761$	2.79900	+	19.4675i	0.101464	+	0.705696i	−0.874063	+	0.485813i	$0.838523\pi$
$762$	−21.3634	−	32.9537i	−0.773914	−	1.19379i
$763$	3.18113	−	5.82580i	0.115164	−	0.210908i
$764$	−4.05565	+	14.2292i	−0.146728	+	0.514796i
$765$	−111.462	−	35.4297i	−4.02993	−	1.28096i
$766$	−5.09508	−	5.05478i	−0.184093	−	0.182637i
$767$	11.0510	−	29.6287i	0.399027	−	1.06983i
$768$	−5.17094	−	49.9483i	−0.186590	−	1.80235i
$769$	−4.94436	+	7.69358i	−0.178298	+	0.277438i	−0.918887	−	0.394521i	$-0.870910\pi$
$769$	−4.94436	+	7.69358i	−0.178298	+	0.277438i	0.740589	+	0.671959i	$0.234547\pi$
$770$	11.7824	−	13.1080i	0.424609	−	0.472380i
$771$	−88.1335	−	12.6717i	−3.17405	−	0.456360i
$772$	−8.99775	+	6.84777i	−0.323836	+	0.246457i
$773$	1.26993	−	17.7560i	0.0456764	−	0.638639i	−0.922120	−	0.386904i	$-0.873544\pi$
$773$	1.26993	−	17.7560i	0.0456764	−	0.638639i	0.967796	−	0.251735i	$-0.0810011\pi$
$774$	47.8056	+	63.3351i	1.71834	+	2.27653i
$775$	0.710425	−	0.413270i	0.0255192	−	0.0148451i
$776$	11.2348	−	4.34347i	0.403306	−	0.155921i
$777$	−1.82512	−	25.5185i	−0.0654757	−	0.915470i
$778$	40.6629	+	11.7646i	1.45784	+	0.421780i
$779$	−0.652275	+	1.42828i	−0.0233702	+	0.0511736i
$780$	10.6692	−	45.8926i	0.382017	−	1.64322i
$781$	30.3054			1.08441
$782$	−7.31311	+	51.2704i	−0.261516	+	1.83343i
$783$	38.6120	−	38.6120i	1.37988	−	1.37988i
$784$	8.66800	−	13.9705i	0.309571	−	0.498948i
$785$	5.83777	+	2.82402i	0.208359	+	0.100793i
$786$	−11.0086	+	6.06798i	−0.392662	+	0.216438i
$787$	−4.84094	+	0.346231i	−0.172561	+	0.0123418i	−0.157352	−	0.987543i	$-0.550296\pi$
$787$	−4.84094	+	0.346231i	−0.172561	+	0.0123418i	−0.0152086	+	0.999884i	$0.504841\pi$
$788$	−33.4122	−	24.6006i	−1.19026	−	0.876358i
$789$	43.8542	+	68.2385i	1.56125	+	2.42936i
$790$	27.5431	−	19.8470i	0.979939	−	0.706125i
$791$	−8.10238	+	7.02075i	−0.288087	+	0.249629i
$792$	−48.4997	−	41.0242i	−1.72336	−	1.45773i
$793$	−28.7612	+	21.5304i	−1.02134	+	0.764565i
$794$	12.6094	−	0.952168i	0.447490	−	0.0337912i
$795$	−39.2132	+	7.62432i	−1.39075	+	0.270407i
$796$	8.64176	−	19.3274i	0.306299	−	0.685043i
$797$	5.79409	+	2.16108i	0.205237	+	0.0765495i	0.449980	−	0.893038i	$-0.351431\pi$
$797$	5.79409	+	2.16108i	0.205237	+	0.0765495i	−0.244743	+	0.969588i	$0.578704\pi$
$798$	−0.0351962	−	8.86588i	−0.00124593	−	0.313849i
$799$	46.1783	+	13.5592i	1.63367	+	0.479689i
$800$	−12.3759	+	25.4330i	−0.437554	+	0.899192i
$801$	−9.31171	+	2.73416i	−0.329013	+	0.0966069i
$802$	0.0122149	+	0.0188419i	0.000431324	+	0.000665331i
$803$	19.1034	+	14.3006i	0.674145	+	0.504658i
$804$	−32.7766	−	70.2884i	−1.15594	−	2.47888i
$805$	−16.9155	−	6.79582i	−0.596193	−	0.239521i
$806$	0.168905	+	0.761869i	0.00594942	+	0.0268357i
$807$	45.9295	−	61.3546i	1.61680	−	2.15979i
$808$	16.2049	−	25.8881i	0.570088	−	0.910742i
$809$	6.10036	+	20.7759i	0.214477	+	0.730443i	0.994504	+	0.104697i	$0.0333872\pi$
$809$	6.10036	+	20.7759i	0.214477	+	0.730443i	−0.780027	+	0.625746i	$0.784795\pi$
$810$	−47.7262	−	27.1991i	−1.67693	−	0.955680i
$811$	−5.91247	+	20.1360i	−0.207615	+	0.707072i	0.788179	+	0.615447i	$0.211024\pi$
$811$	−5.91247	+	20.1360i	−0.207615	+	0.707072i	−0.995794	+	0.0916250i	$0.970794\pi$
$812$	14.9875	−	3.38517i	0.525957	−	0.118796i
$813$	−16.5582	+	44.3942i	−0.580721	+	1.55697i
$814$	17.8529	+	13.2542i	0.625743	+	0.464561i
$815$	−28.3909	+	42.0958i	−0.994490	+	1.47455i
$816$	−71.4402	+	63.9173i	−2.50091	+	2.23755i
$817$	−5.76838	−	7.70566i	−0.201810	−	0.269587i
$818$	−2.37767	−	5.15216i	−0.0831334	−	0.180141i
$819$	25.5978	+	29.5414i	0.894459	+	1.03226i
$820$	0.341488	+	5.96604i	0.0119253	+	0.208343i
$821$	19.1938	−	12.3351i	0.669868	−	0.430498i	−0.161010	−	0.986953i	$-0.551475\pi$
$821$	19.1938	−	12.3351i	0.669868	−	0.430498i	0.830878	+	0.556455i	$0.187839\pi$
$822$	−33.3978	−	38.2354i	−1.16488	−	1.33361i
$823$	3.39757	+	47.5043i	0.118432	+	1.65589i	0.615466	+	0.788164i	$0.288968\pi$
$823$	3.39757	+	47.5043i	0.118432	+	1.65589i	−0.497034	+	0.867731i	$0.665577\pi$
$824$	0.672668	−	0.921247i	0.0234335	−	0.0320932i
$825$	15.8263	+	48.9560i	0.551002	+	1.70443i
$826$	−7.99824	−	21.1869i	−0.278294	−	0.737185i
$827$	−22.2594	−	22.2594i	−0.774035	−	0.774035i	0.204774	−	0.978809i	$-0.434354\pi$
$827$	−22.2594	−	22.2594i	−0.774035	−	0.774035i	−0.978809	+	0.204774i	$0.934354\pi$
$828$	−22.6469	+	61.6752i	−0.787036	+	2.14336i
$829$		−	0.713043i		−	0.0247650i	−0.999923	−	0.0123825i	$-0.996058\pi$
$829$		−	0.713043i		−	0.0247650i	0.999923	−	0.0123825i	$-0.00394158\pi$
$830$	−12.4802	+	26.0624i	−0.433195	+	0.904639i
$831$	10.1970	+	4.65680i	0.353729	+	0.161542i
$832$	−19.4366	−	18.5320i	−0.673842	−	0.642482i
$833$	−31.3058	+	2.23904i	−1.08468	+	0.0775780i
$834$	5.50524	−	81.5201i	0.190631	−	2.82281i
$835$	−22.7587	+	13.9233i	−0.787598	+	0.481836i
$836$	5.86332	+	4.99965i	0.202787	+	0.172916i
$837$	1.98105	+	0.141688i	0.0684752	+	0.00489744i
$838$	22.2005	−	10.2453i	0.766903	−	0.353919i
$839$	−2.92199	+	20.3229i	−0.100878	+	0.701623i	0.875130	+	0.483888i	$0.160776\pi$
$839$	−2.92199	+	20.3229i	−0.100878	+	0.701623i	−0.976008	+	0.217735i	$0.930133\pi$
$840$	−15.8664	−	29.7791i	−0.547443	−	1.02748i
$841$	7.21421	+	4.63629i	0.248766	+	0.159872i
$842$	−8.80601	+	1.30182i	−0.303475	+	0.0448635i
$843$	−25.0995	−	9.36163i	−0.864473	−	0.322432i
$844$	19.6123	−	31.0568i	0.675084	−	1.06902i
$845$	1.77926	+	3.43746i	0.0612084	+	0.118252i
$846$	53.7038	+	29.0484i	1.84638	+	0.998703i
$847$	0.372945	+	0.203644i	0.0128146	+	0.00699728i
$848$	−7.61731	+	21.4574i	−0.261579	+	0.736849i
$849$	−17.5448	+	2.52255i	−0.602134	+	0.0865739i
$850$	53.1803	−	9.33928i	1.82407	−	0.320335i
$851$	6.54210	−	22.0475i	0.224260	−	0.755778i
$852$	19.8429	−	54.5190i	0.679806	−	1.86779i
$853$	18.4525	−	24.6496i	0.631801	−	0.843988i	−0.364384	−	0.931249i	$-0.618720\pi$
$853$	18.4525	−	24.6496i	0.631801	−	0.843988i	0.996185	+	0.0872608i	$0.0278114\pi$
$854$	−5.36925	+	25.1626i	−0.183732	+	0.861045i
$855$	15.6018	+	8.97370i	0.533571	+	0.306894i
$856$	−20.3976	−	1.21489i	−0.697176	−	0.0415243i
$857$	−19.2008	+	10.4844i	−0.655888	+	0.358142i	−0.772481	−	0.635038i	$-0.780984\pi$
$857$	−19.2008	+	10.4844i	−0.655888	+	0.358142i	0.116593	+	0.993180i	$0.462803\pi$
$858$	−48.8511	+	0.193931i	−1.66775	+	0.00662070i
$859$	−9.40623	−	20.5968i	−0.320936	−	0.702753i	0.678558	−	0.734547i	$-0.262605\pi$
$859$	−9.40623	−	20.5968i	−0.320936	−	0.702753i	−0.999494	+	0.0317941i	$0.989878\pi$
$860$	−33.1029	−	15.6904i	−1.12880	−	0.535037i
$861$	−5.99725	−	3.85420i	−0.204386	−	0.131351i
$862$	1.75527	−	2.04201i	0.0597847	−	0.0695512i
$863$	−31.8360	−	42.5280i	−1.08371	−	1.44767i	−0.883806	−	0.467854i	$-0.845027\pi$
$863$	−31.8360	−	42.5280i	−1.08371	−	1.44767i	−0.199906	−	0.979815i	$-0.564064\pi$
$864$	−59.3272	+	33.9408i	−2.01835	+	1.15469i
$865$	9.98267	+	12.0502i	0.339421	+	0.409718i
$866$	−8.23312	−	10.9076i	−0.279773	−	0.370657i
$867$	126.678	+	27.5572i	4.30223	+	0.935892i
$868$	0.450031	+	0.331347i	0.0152751	+	0.0112466i
$869$	−26.6016	−	23.0504i	−0.902398	−	0.781932i
$870$	−13.4174	+	42.7990i	−0.454891	+	1.45102i
$871$	−37.7287	−	17.2301i	−1.27839	−	0.583821i
$872$	11.0435	−	0.131528i	0.373979	−	0.00445410i
$873$	−20.6270	−	20.6270i	−0.698119	−	0.698119i
$874$	2.77680	−	7.47038i	0.0939268	−	0.252690i
$875$	−1.26275	+	18.9637i	−0.0426889	+	0.641089i
$876$	38.2348	−	25.0032i	1.29184	−	0.844779i
$877$	−4.64924	−	12.4651i	−0.156994	−	0.420917i	0.834510	−	0.550992i	$-0.185751\pi$
$877$	−4.64924	−	12.4651i	−0.156994	−	0.420917i	−0.991504	+	0.130076i	$0.958478\pi$
$878$	0.302333	−	1.04498i	0.0102033	−	0.0352664i
$879$	6.23319	−	7.19349i	0.210240	−	0.242630i
$880$	28.6159	+	6.41360i	0.964641	+	0.216202i
$881$	−7.09661	+	4.56072i	−0.239091	+	0.153654i	−0.654700	−	0.755889i	$-0.727205\pi$
$881$	−7.09661	+	4.56072i	−0.239091	+	0.153654i	0.415609	+	0.909543i	$0.363569\pi$
$882$	−39.4340	−	5.51006i	−1.32781	−	0.185533i
$883$	37.3282	+	2.66976i	1.25619	+	0.0898447i	0.683515	−	0.729936i	$-0.260450\pi$
$883$	37.3282	+	2.66976i	1.25619	+	0.0898447i	0.572677	+	0.819781i	$0.305905\pi$
$884$	−6.89287	+	50.8011i	−0.231832	+	1.70863i
$885$	65.2107	+	10.8560i	2.19203	+	0.364920i
$886$	23.5002	−	1.77457i	0.789506	−	0.0596177i
$887$	8.86888	+	40.7696i	0.297788	+	1.36891i	0.846273	+	0.532749i	$0.178841\pi$
$887$	8.86888	+	40.7696i	0.297788	+	1.36891i	−0.548485	+	0.836160i	$0.684795\pi$
$888$	35.5336	−	23.4386i	1.19243	−	0.786549i
$889$	−13.6821	+	6.24841i	−0.458883	+	0.209565i
$890$	3.22514	−	3.10987i	0.108107	−	0.104243i
$891$	−16.0462	+	54.6483i	−0.537567	+	1.83079i
$892$	13.8313	−	7.69563i	0.463105	−	0.257669i
$893$	−6.50036	−	3.54947i	−0.217526	−	0.118778i
$894$	11.4921	−	53.8567i	0.384353	−	1.80124i
$895$	21.0010	+	16.4598i	0.701985	+	0.550190i
$896$	−19.2141	−	0.838479i	−0.641898	−	0.0280116i
$897$	17.5222	+	47.3913i	0.585049	+	1.58235i
$898$	−25.3263	−	16.1345i	−0.845150	−	0.538416i
$899$	−0.105722	−	0.735315i	−0.00352604	−	0.0245241i
$900$	68.4534	+	2.49192i	2.28178	+	0.0830638i
$901$	41.7055	−	12.2458i	1.38941	−	0.407968i
$902$	5.93791	−	1.76916i	0.197711	−	0.0589066i
$903$	38.3564	−	20.9442i	1.27642	−	0.696979i
$904$	−16.7866	−	6.03433i	−0.558313	−	0.200699i
$905$	−11.3708	−	4.53059i	−0.377977	−	0.150602i
$906$	20.3315	+	15.0944i	0.675470	+	0.501479i
$907$	6.72694	+	30.9232i	0.223364	+	1.02679i	0.943092	+	0.332533i	$0.107903\pi$
$907$	6.72694	+	30.9232i	0.223364	+	1.02679i	−0.719727	+	0.694257i	$0.755733\pi$
$908$	19.6821	+	10.5452i	0.653173	+	0.349956i
$909$	−73.2130	−	10.5264i	−2.42832	−	0.349140i
$910$	−16.7903	−	6.61283i	−0.556592	−	0.219213i
$911$	−25.6763	+	22.2486i	−0.850693	+	0.737130i	−0.966644	−	0.256125i	$-0.917554\pi$
$911$	−25.6763	+	22.2486i	−0.850693	+	0.737130i	0.115950	+	0.993255i	$0.463009\pi$
$912$	12.8334	−	7.27444i	0.424956	−	0.240881i
$913$	29.2758	+	6.36856i	0.968888	+	0.210769i
$914$	−0.342521	+	5.07195i	−0.0113296	+	0.167765i
$915$	−55.6582	−	50.4306i	−1.84000	−	1.66718i
$916$	−28.0977	+	24.7401i	−0.928375	+	0.817436i
$917$	1.68244	+	4.51081i	0.0555592	+	0.148960i
$918$	118.902	+	53.7312i	3.92434	+	1.77339i
$919$	45.7413			1.50887			0.754433	−	0.656377i	$-0.227912\pi$
$919$	45.7413			1.50887			0.754433	+	0.656377i	$0.227912\pi$
$920$	−3.92278	−	30.0768i	−0.129330	−	0.991602i
$921$	91.5196			3.01567
$922$	2.50817	+	1.13343i	0.0826023	+	0.0373276i
$923$	−10.8433	−	29.0720i	−0.356911	−	0.956915i
$924$	−26.2569	+	23.1193i	−0.863790	+	0.760569i
$925$	−23.9679	+	0.649046i	−0.788060	+	0.0213405i
$926$	2.09795	−	31.0658i	0.0689428	−	1.02088i
$927$	−2.69939	−	0.587217i	−0.0886597	−	0.0192867i
$928$	17.1219	+	18.9848i	0.562053	+	0.623208i
$929$	−18.8870	+	16.3656i	−0.619661	+	0.536939i	−0.907130	−	0.420851i	$-0.861732\pi$
$929$	−18.8870	+	16.3656i	−0.619661	+	0.536939i	0.287469	+	0.957790i	$0.407186\pi$
$930$	−1.49604	+	0.650593i	−0.0490572	+	0.0213338i
$931$	4.78074	+	0.687367i	0.156682	+	0.0225275i
$932$	23.3822	+	12.5277i	0.765911	+	0.410359i
$933$	14.0642	+	64.6520i	0.460441	+	2.11661i
$934$	−5.65471	−	4.19814i	−0.185028	−	0.137367i
$935$	−22.1217	−	51.4263i	−0.723456	−	1.68182i
$936$	−22.0013	+	61.2042i	−0.719135	+	2.00052i
$937$	−33.3800	+	18.2269i	−1.09048	+	0.595446i	−0.920792	−	0.390053i	$-0.872457\pi$
$937$	−33.3800	+	18.2269i	−1.09048	+	0.595446i	−0.169685	+	0.985498i	$0.554275\pi$
$938$	−28.4668	+	8.48150i	−0.929474	+	0.276931i
$939$	61.0786	−	17.9343i	1.99322	−	0.585263i
$940$	−28.1842	−	0.400910i	−0.919268	−	0.0130762i
$941$	4.17005	+	29.0033i	0.135940	+	0.945481i	0.937604	+	0.347706i	$0.113039\pi$
$941$	4.17005	+	29.0033i	0.135940	+	0.945481i	−0.801664	+	0.597775i	$0.796052\pi$
$942$	−10.8563	−	6.91619i	−0.353718	−	0.225342i
$943$	−3.82573	−	5.14107i	−0.124583	−	0.167416i
$944$	24.2201	−	28.8651i	0.788296	−	0.939479i
$945$	−28.3315	+	36.1481i	−0.921625	+	1.17590i
$946$	−7.92628	+	37.1458i	−0.257705	+	1.20772i
$947$	22.1737	+	12.1078i	0.720550	+	0.393450i	0.797286	−	0.603601i	$-0.206268\pi$
$947$	22.1737	+	12.1078i	0.720550	+	0.393450i	−0.0767364	+	0.997051i	$0.524450\pi$
$948$	−58.8851	+	32.7633i	−1.91250	+	1.06410i
$949$	6.88338	−	23.4426i	0.223444	−	0.760980i
$950$	−8.30230	−	0.335236i	−0.269362	−	0.0108765i
$951$	21.0714	−	9.62298i	0.683287	−	0.312047i
$952$	20.2156	+	30.6474i	0.655193	+	0.993288i
$953$	−1.28013	−	5.88468i	−0.0414676	−	0.190624i	0.951754	−	0.306863i	$-0.0992795\pi$
$953$	−1.28013	−	5.88468i	−0.0414676	−	0.190624i	−0.993221	+	0.116240i	$0.962916\pi$
$954$	54.9861	−	4.15215i	1.78024	−	0.134431i
$955$	−13.4593	+	9.61754i	−0.435532	+	0.311216i
$956$	−0.107952	+	0.795613i	−0.00349141	+	0.0257320i
$957$	46.3861	+	3.31760i	1.49945	+	0.107243i
$958$	−19.9455	−	2.78697i	−0.644411	−	0.0900428i
$959$	−16.3573	+	10.5122i	−0.528205	+	0.339457i
$960$	30.2746	−	47.2801i	0.977108	−	1.52596i
$961$	−20.2830	+	23.4078i	−0.654290	+	0.755091i
$962$	6.32701	−	21.8686i	0.203991	−	0.705072i
$963$	17.2937	+	46.3663i	0.557283	+	1.49413i
$964$	27.2636	−	17.8287i	0.878100	−	0.574223i
$965$	−12.6387	−	0.280161i	−0.406853	−	0.00901869i
$966$	31.7777	+	17.3059i	1.02243	+	0.556807i
$967$	−35.2485	−	35.2485i	−1.13352	−	1.13352i	−0.989588	−	0.143928i	$-0.954027\pi$
$967$	−35.2485	−	35.2485i	−1.13352	−	1.13352i	−0.143928	−	0.989588i	$-0.545973\pi$
$968$	0.00841993	+	0.706962i	0.000270627	+	0.0227226i
$969$	−25.6159	−	11.6984i	−0.822902	−	0.375807i
$970$	12.8503	+	4.02852i	0.412597	+	0.129348i
$971$	40.1845	+	34.8201i	1.28958	+	1.11743i	0.986376	+	0.164505i	$0.0526028\pi$
$971$	40.1845	+	34.8201i	1.28958	+	1.11743i	0.303207	+	0.952925i	$0.401943\pi$
$972$	29.4258	+	21.6655i	0.943834	+	0.694921i
$973$	−30.5781	−	6.65185i	−0.980287	−	0.213248i
$974$	−31.3851	−	41.5805i	−1.00564	−	1.33232i
$975$	41.3008	−	32.6986i	1.32268	−	1.04719i
$976$	−40.8788	+	12.7115i	−1.30850	+	0.406887i
$977$	−25.2050	−	33.6700i	−0.806380	−	1.07720i	−0.995455	−	0.0952353i	$-0.969640\pi$
$977$	−25.2050	−	33.6700i	−0.806380	−	1.07720i	0.189074	−	0.981963i	$-0.439451\pi$
$978$	65.6972	−	76.4295i	2.10076	−	2.44395i
$979$	−3.90784	−	2.51141i	−0.124895	−	0.0802651i
$980$	17.3124	−	6.17814i	0.553024	−	0.197354i
$981$	−11.1111	−	24.3299i	−0.354750	−	0.776794i
$982$	0.460497	−	0.00182810i	0.0146950	−	5.83370e-5i
$983$	4.61603	−	2.52054i	0.147229	−	0.0803929i	−0.403946	−	0.914783i	$-0.632362\pi$
$983$	4.61603	−	2.52054i	0.147229	−	0.0803929i	0.551175	+	0.834390i	$0.314180\pi$
$984$	0.705233	−	11.8406i	0.0224820	−	0.377464i
$985$	−12.0797	−	44.7888i	−0.384892	−	1.42709i
$986$	10.1846	−	47.7291i	0.324342	−	1.52000i
$987$	20.1514	−	26.9192i	0.641428	−	0.856847i
$988$	2.69826	−	7.41355i	0.0858431	−	0.235857i
$989$	38.9006	−	5.47985i	1.23697	−	0.174249i
$990$	−13.8316	−	69.6613i	−0.439597	−	2.21398i
$991$	9.10945	−	1.30974i	0.289371	−	0.0416053i	0.00389944	−	0.999992i	$-0.498759\pi$
$991$	9.10945	−	1.30974i	0.289371	−	0.0416053i	0.285472	+	0.958387i	$0.407850\pi$
$992$	−0.114039	+	0.922838i	−0.00362073	+	0.0293001i
$993$	−8.70787	−	4.75486i	−0.276336	−	0.150891i
$994$	−19.5448	−	10.5718i	−0.619923	−	0.335316i
$995$	21.0213	−	10.8808i	0.666420	−	0.344945i
$996$	30.6257	−	48.4968i	0.970412	−	1.53668i
$997$	−33.6096	−	12.5357i	−1.06443	−	0.397011i	−0.244601	−	0.969624i	$-0.578657\pi$
$997$	−33.6096	−	12.5357i	−1.06443	−	0.397011i	−0.819826	+	0.572613i	$0.805930\pi$
$998$	50.6901	−	7.49364i	1.60457	−	0.237207i
$999$	−48.7426	−	31.3250i	−1.54215	−	0.991078i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	460.2.w.a.3.10	✓	1360
4.3	odd	2	inner	460.2.w.a.3.19	yes	1360
5.2	odd	4	inner	460.2.w.a.187.45	yes	1360
20.7	even	4	inner	460.2.w.a.187.52	yes	1360
23.8	even	11	inner	460.2.w.a.123.52	yes	1360
92.31	odd	22	inner	460.2.w.a.123.45	yes	1360
115.77	odd	44	inner	460.2.w.a.307.19	yes	1360
460.307	even	44	inner	460.2.w.a.307.10	yes	1360

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
460.2.w.a.3.10	✓	1360	1.1	even	1	trivial
460.2.w.a.3.19	yes	1360	4.3	odd	2	inner
460.2.w.a.123.45	yes	1360	92.31	odd	22	inner
460.2.w.a.123.52	yes	1360	23.8	even	11	inner
460.2.w.a.187.45	yes	1360	5.2	odd	4	inner
460.2.w.a.187.52	yes	1360	20.7	even	4	inner
460.2.w.a.307.10	yes	1360	460.307	even	44	inner
460.2.w.a.307.19	yes	1360	115.77	odd	44	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 460 = 2^{2} \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	460.w (of order \(44\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.28874 - 0.582374i) q^{2} +(1.09678 + 2.94057i) q^{3} +(1.32168 + 1.50105i) q^{4} +(0.110052 + 2.23336i) q^{5} +(0.299057 - 4.42835i) q^{6} +(-1.66107 - 0.361343i) q^{7} +(-0.829123 - 2.70417i) q^{8} +(-5.17679 + 4.48572i) q^{9} +O(q^{10})\)	\(q+(-1.28874 - 0.582374i) q^{2} +(1.09678 + 2.94057i) q^{3} +(1.32168 + 1.50105i) q^{4} +(0.110052 + 2.23336i) q^{5} +(0.299057 - 4.42835i) q^{6} +(-1.66107 - 0.361343i) q^{7} +(-0.829123 - 2.70417i) q^{8} +(-5.17679 + 4.48572i) q^{9} +(1.15882 - 2.94230i) q^{10} +(-3.24535 - 0.466611i) q^{11} +(-2.96436 + 5.53282i) q^{12} +(0.713567 + 3.28022i) q^{13} +(1.93024 + 1.43304i) q^{14} +(-6.44665 + 2.77311i) q^{15} +(-0.506320 + 3.96783i) q^{16} +(6.70189 - 3.65951i) q^{17} +(9.28388 - 2.76607i) q^{18} +(-1.12748 + 0.331058i) q^{19} +(-3.20694 + 3.11698i) q^{20} +(-0.759265 - 5.28081i) q^{21} +(3.91066 + 2.49135i) q^{22} +(1.03279 - 4.68330i) q^{23} +(7.04245 - 5.40397i) q^{24} +(-4.97578 + 0.491570i) q^{25} +(0.990713 - 4.64290i) q^{26} +(-10.6047 - 5.79060i) q^{27} +(-1.65301 - 2.97093i) q^{28} +(-1.27325 + 4.33628i) q^{29} +(9.92301 + 0.180554i) q^{30} +(-0.149523 + 0.0682847i) q^{31} +(2.96327 - 4.81861i) q^{32} +(-2.18732 - 10.0550i) q^{33} +(-10.7682 + 0.813134i) q^{34} +(0.624206 - 3.74953i) q^{35} +(-13.5754 - 1.84195i) q^{36} +(4.78312 + 0.342095i) q^{37} +(1.64582 + 0.229969i) q^{38} +(-8.86309 + 5.69596i) q^{39} +(5.94814 - 2.14933i) q^{40} +(0.875046 - 1.00986i) q^{41} +(-2.09691 + 7.24774i) q^{42} +(2.86261 + 7.67495i) q^{43} +(-3.58891 - 5.48816i) q^{44} +(-10.5879 - 11.0680i) q^{45} +(-4.05843 + 5.43407i) q^{46} +(4.45677 + 4.45677i) q^{47} +(-12.2230 + 2.86295i) q^{48} +(-3.73884 - 1.70747i) q^{49} +(6.69874 + 2.26426i) q^{50} +(18.1115 + 15.6937i) q^{51} +(-3.98067 + 5.40650i) q^{52} +(5.56224 + 1.20999i) q^{53} +(10.2944 + 13.6385i) q^{54} +(0.684953 - 7.29938i) q^{55} +(0.400096 + 4.79142i) q^{56} +(-2.21009 - 2.95234i) q^{57} +(4.16621 - 4.84681i) q^{58} +(-7.92467 - 5.09288i) q^{59} +(-12.6830 - 6.01159i) q^{60} +(4.44593 + 9.73523i) q^{61} +(0.232463 - 0.000922840i) q^{62} +(10.2199 - 5.58049i) q^{63} +(-6.62511 + 4.48419i) q^{64} +(-7.24737 + 1.95464i) q^{65} +(-3.03687 + 14.2320i) q^{66} +(-7.40444 + 9.89117i) q^{67} +(14.3509 + 5.22319i) q^{68} +(14.9043 - 2.09954i) q^{69} +(-2.98807 + 4.46863i) q^{70} +(-9.14897 + 1.31542i) q^{71} +(16.4224 + 10.2797i) q^{72} +(-6.38790 - 3.48806i) q^{73} +(-5.96495 - 3.22644i) q^{74} +(-6.90281 - 14.0925i) q^{75} +(-1.98710 - 1.25485i) q^{76} +(5.22215 + 1.94776i) q^{77} +(14.7394 - 2.17896i) q^{78} +(9.03134 + 5.80409i) q^{79} +(-8.91730 - 0.694127i) q^{80} +(2.47218 - 17.1944i) q^{81} +(-1.71582 + 0.791834i) q^{82} +(-9.11457 - 0.651887i) q^{83} +(6.92326 - 8.11924i) q^{84} +(8.91055 + 14.5650i) q^{85} +(0.780545 - 11.5581i) q^{86} +(-14.1476 + 1.01186i) q^{87} +(1.42900 + 9.16287i) q^{88} +(1.28875 + 0.588555i) q^{89} +(7.19934 + 20.4298i) q^{90} -5.70651i q^{91} +(8.39491 - 4.63956i) q^{92} +(-0.364789 - 0.364789i) q^{93} +(-3.14809 - 8.33910i) q^{94} +(-0.863452 - 2.48163i) q^{95} +(17.4195 + 3.42877i) q^{96} +(0.303806 + 4.24777i) q^{97} +(3.82399 + 4.37789i) q^{98} +(18.8936 - 12.1422i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1360 q - 18 q^{2} - 36 q^{5} - 44 q^{6} - 18 q^{8}+O(q^{10}) \) 1360 * q - 18 * q^2 - 36 * q^5 - 44 * q^6 - 18 * q^8	\( 1360 q - 18 q^{2} - 36 q^{5} - 44 q^{6} - 18 q^{8} - 18 q^{10} - 6 q^{12} - 36 q^{13} - 44 q^{16} - 36 q^{17} - 38 q^{18} - 14 q^{20} - 88 q^{21} - 28 q^{22} - 36 q^{25} - 36 q^{26} - 34 q^{28} + 2 q^{30} + 2 q^{32} - 60 q^{33} - 36 q^{36} - 36 q^{37} - 10 q^{38} + 2 q^{40} - 56 q^{41} - 202 q^{42} - 120 q^{45} - 44 q^{46} - 50 q^{48} - 34 q^{50} - 250 q^{52} - 84 q^{53} - 84 q^{56} - 44 q^{57} - 58 q^{58} - 42 q^{60} - 136 q^{61} - 82 q^{62} - 68 q^{65} - 84 q^{66} - 4 q^{68} + 16 q^{70} - 104 q^{72} - 36 q^{73} + 4 q^{76} - 44 q^{77} - 50 q^{78} + 204 q^{80} + 80 q^{81} - 10 q^{82} - 252 q^{85} + 44 q^{86} - 50 q^{88} + 264 q^{90} - 22 q^{92} - 88 q^{93} + 52 q^{96} - 36 q^{97} + 30 q^{98}+O(q^{100}) \) 1360 * q - 18 * q^2 - 36 * q^5 - 44 * q^6 - 18 * q^8 - 18 * q^10 - 6 * q^12 - 36 * q^13 - 44 * q^16 - 36 * q^17 - 38 * q^18 - 14 * q^20 - 88 * q^21 - 28 * q^22 - 36 * q^25 - 36 * q^26 - 34 * q^28 + 2 * q^30 + 2 * q^32 - 60 * q^33 - 36 * q^36 - 36 * q^37 - 10 * q^38 + 2 * q^40 - 56 * q^41 - 202 * q^42 - 120 * q^45 - 44 * q^46 - 50 * q^48 - 34 * q^50 - 250 * q^52 - 84 * q^53 - 84 * q^56 - 44 * q^57 - 58 * q^58 - 42 * q^60 - 136 * q^61 - 82 * q^62 - 68 * q^65 - 84 * q^66 - 4 * q^68 + 16 * q^70 - 104 * q^72 - 36 * q^73 + 4 * q^76 - 44 * q^77 - 50 * q^78 + 204 * q^80 + 80 * q^81 - 10 * q^82 - 252 * q^85 + 44 * q^86 - 50 * q^88 + 264 * q^90 - 22 * q^92 - 88 * q^93 + 52 * q^96 - 36 * q^97 + 30 * q^98

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