LMFDB - Embedded newform 483.2.bf.a.145.24

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(10,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([0, 11, 9]))

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

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

chi := DirichletCharacter("483.10");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.bf (of order $66$, degree $20$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$32$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			145.24
Character	$\chi$	$=$	483.145
Dual form			483.2.bf.a.10.24

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.541022 + 1.56318i) q^{2} +(0.458227 - 0.888835i) q^{3} +(-0.578722 + 0.455112i) q^{4} +(-1.66444 - 0.158934i) q^{5} +(1.63732 + 0.235411i) q^{6} +(1.09045 - 2.41059i) q^{7} +(1.75861 + 1.13019i) q^{8} +(-0.580057 - 0.814576i) q^{9} +O(q^{10})$	\(q+(0.541022 + 1.56318i) q^{2} +(0.458227 - 0.888835i) q^{3} +(-0.578722 + 0.455112i) q^{4} +(-1.66444 - 0.158934i) q^{5} +(1.63732 + 0.235411i) q^{6} +(1.09045 - 2.41059i) q^{7} +(1.75861 + 1.13019i) q^{8} +(-0.580057 - 0.814576i) q^{9} +(-0.652054 - 2.68780i) q^{10} +(1.58493 + 0.548550i) q^{11} +(0.139334 + 0.722933i) q^{12} +(0.290660 - 0.989898i) q^{13} +(4.35814 + 0.400382i) q^{14} +(-0.903956 + 1.40658i) q^{15} +(-1.16239 + 4.79145i) q^{16} +(7.44182 - 2.97926i) q^{17} +(0.959506 - 1.34744i) q^{18} +(-1.17674 - 0.471095i) q^{19} +(1.03558 - 0.665526i) q^{20} +(-1.64294 - 2.07382i) q^{21} +2.77431i q^{22} +(4.47959 - 1.71269i) q^{23} +(1.81039 - 1.04523i) q^{24} +(-2.16455 - 0.417183i) q^{25} +(1.70464 - 0.0812021i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(0.466022 + 1.89133i) q^{28} +(-1.03896 + 7.22612i) q^{29} +(-2.68780 - 0.652054i) q^{30} +(-0.732534 - 0.0348949i) q^{31} +(-3.95679 + 0.377827i) q^{32} +(1.21383 - 1.15738i) q^{33} +(8.68331 + 10.0211i) q^{34} +(-2.19810 + 3.83896i) q^{35} +(0.706415 + 0.207422i) q^{36} +(2.16985 - 1.54514i) q^{37} +(0.0997651 - 2.09433i) q^{38} +(-0.746668 - 0.711946i) q^{39} +(-2.74747 - 2.16063i) q^{40} +(-2.27573 + 1.03929i) q^{41} +(2.35289 - 3.69020i) q^{42} +(-1.31574 - 2.04733i) q^{43} +(-1.16689 + 0.403863i) q^{44} +(0.836004 + 1.44800i) q^{45} +(5.10080 + 6.07580i) q^{46} +(-2.89094 - 1.66908i) q^{47} +(3.72617 + 3.22874i) q^{48} +(-4.62186 - 5.25723i) q^{49} +(-0.518938 - 3.60929i) q^{50} +(0.761972 - 7.97973i) q^{51} +(0.282303 + 0.705158i) q^{52} +(-7.76255 + 8.14113i) q^{53} +(-0.757979 - 1.47027i) q^{54} +(-2.55083 - 1.16493i) q^{55} +(4.64209 - 3.00687i) q^{56} +(-0.957939 + 0.830059i) q^{57} +(-11.8578 + 2.28541i) q^{58} +(4.72167 - 1.14547i) q^{59} +(-0.117014 - 1.22542i) q^{60} +(-8.22889 + 4.24229i) q^{61} +(-0.341770 - 1.16396i) q^{62} +(-2.59613 + 0.510027i) q^{63} +(1.36503 + 2.98900i) q^{64} +(-0.641114 + 1.60143i) q^{65} +(2.46590 + 1.27126i) q^{66} +(-0.325697 + 1.68987i) q^{67} +(-2.95085 + 5.11102i) q^{68} +(0.530365 - 4.76642i) q^{69} +(-7.19021 - 1.35907i) q^{70} +(-6.99726 + 8.07527i) q^{71} +(-0.0994682 - 2.08809i) q^{72} +(-8.07152 - 10.2638i) q^{73} +(3.58927 + 2.55591i) q^{74} +(-1.36266 + 1.73277i) q^{75} +(0.895406 - 0.262915i) q^{76} +(3.05061 - 3.22245i) q^{77} +(0.708937 - 1.55236i) q^{78} +(2.74844 + 2.88248i) q^{79} +(2.69626 - 7.79032i) q^{80} +(-0.327068 + 0.945001i) q^{81} +(-2.85581 - 2.99509i) q^{82} +(-1.39337 + 3.05106i) q^{83} +(1.89463 + 0.452442i) q^{84} +(-12.8600 + 3.77602i) q^{85} +(2.48851 - 3.16439i) q^{86} +(5.94675 + 4.23466i) q^{87} +(2.16731 + 2.75596i) q^{88} +(0.110733 + 2.32458i) q^{89} +(-1.81119 + 2.09023i) q^{90} +(-2.06929 - 1.78009i) q^{91} +(-1.81297 + 3.02989i) q^{92} +(-0.366683 + 0.635113i) q^{93} +(1.04502 - 5.42207i) q^{94} +(1.88373 + 0.971132i) q^{95} +(-1.47728 + 3.69006i) q^{96} +(1.44869 + 3.17218i) q^{97} +(5.71747 - 10.0691i) q^{98} +(-0.472514 - 1.60924i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9}+O(q^{10}) $ 640 * q - 4 * q^2 + 36 * q^4 + 24 * q^8 - 32 * q^9	$ 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43} + 154 q^{44} + 8 q^{46} + 12 q^{47} - 8 q^{49} - 212 q^{50} + 44 q^{51} + 108 q^{52} - 110 q^{56} - 88 q^{57} + 2 q^{58} - 36 q^{59} - 168 q^{64} - 48 q^{70} + 16 q^{71} + 12 q^{72} - 48 q^{73} - 22 q^{74} + 48 q^{75} + 32 q^{78} - 44 q^{79} - 594 q^{80} + 32 q^{81} + 24 q^{82} + 352 q^{85} - 36 q^{87} - 330 q^{88} + 244 q^{92} - 24 q^{93} - 486 q^{94} - 154 q^{95} - 60 q^{96} - 24 q^{98} - 44 q^{99}+O(q^{100}) $ 640 * q - 4 * q^2 + 36 * q^4 + 24 * q^8 - 32 * q^9 + 4 * q^18 - 28 * q^23 + 56 * q^25 - 84 * q^26 - 176 * q^28 - 24 * q^29 + 12 * q^31 + 36 * q^32 - 76 * q^35 + 28 * q^36 + 44 * q^37 - 110 * q^42 - 88 * q^43 + 154 * q^44 + 8 * q^46 + 12 * q^47 - 8 * q^49 - 212 * q^50 + 44 * q^51 + 108 * q^52 - 110 * q^56 - 88 * q^57 + 2 * q^58 - 36 * q^59 - 168 * q^64 - 48 * q^70 + 16 * q^71 + 12 * q^72 - 48 * q^73 - 22 * q^74 + 48 * q^75 + 32 * q^78 - 44 * q^79 - 594 * q^80 + 32 * q^81 + 24 * q^82 + 352 * q^85 - 36 * q^87 - 330 * q^88 + 244 * q^92 - 24 * q^93 - 486 * q^94 - 154 * q^95 - 60 * q^96 - 24 * q^98 - 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{19}{22}\right)$

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 $

$2$	0.541022	+	1.56318i	0.382560	+	1.10534i	0.957821	+	0.287365i	$0.0927794\pi$
$2$	0.541022	+	1.56318i	0.382560	+	1.10534i	−0.575261	+	0.817970i	$0.695099\pi$
$3$	0.458227	−	0.888835i	0.264557	−	0.513169i
$3$	0.458227	−	0.888835i	0.264557	−	0.513169i
$4$	−0.578722	+	0.455112i	−0.289361	+	0.227556i
$5$	−1.66444	−	0.158934i	−0.744359	−	0.0710777i	−0.284017	−	0.958819i	$-0.591667\pi$
$5$	−1.66444	−	0.158934i	−0.744359	−	0.0710777i	−0.460342	+	0.887742i	$0.652273\pi$
$6$	1.63732	+	0.235411i	0.668433	+	0.0961062i
$7$	1.09045	−	2.41059i	0.412150	−	0.911116i
$7$	1.09045	−	2.41059i	0.412150	−	0.911116i
$8$	1.75861	+	1.13019i	0.621762	+	0.399582i
$9$	−0.580057	−	0.814576i	−0.193352	−	0.271525i
$10$	−0.652054	−	2.68780i	−0.206198	−	0.849958i
$11$	1.58493	+	0.548550i	0.477875	+	0.165394i	0.555378	−	0.831598i	$-0.312574\pi$
$11$	1.58493	+	0.548550i	0.477875	+	0.165394i	−0.0775033	+	0.996992i	$0.524695\pi$
$12$	0.139334	+	0.722933i	0.0402222	+	0.208693i
$13$	0.290660	−	0.989898i	0.0806146	−	0.274548i	−0.909315	−	0.416108i	$-0.863394\pi$
$13$	0.290660	−	0.989898i	0.0806146	−	0.274548i	0.989930	+	0.141560i	$0.0452119\pi$
$14$	4.35814	+	0.400382i	1.16476	+	0.107007i
$15$	−0.903956	+	1.40658i	−0.233400	+	0.363178i
$16$	−1.16239	+	4.79145i	−0.290598	+	1.19786i
$17$	7.44182	−	2.97926i	1.80491	−	0.722576i	0.815253	−	0.579105i	$-0.196598\pi$
$17$	7.44182	−	2.97926i	1.80491	−	0.722576i	0.989655	−	0.143471i	$-0.0458263\pi$
$18$	0.959506	−	1.34744i	0.226158	−	0.317594i
$19$	−1.17674	−	0.471095i	−0.269962	−	0.108077i	0.232732	−	0.972541i	$-0.425234\pi$
$19$	−1.17674	−	0.471095i	−0.269962	−	0.108077i	−0.502694	+	0.864464i	$0.667658\pi$
$20$	1.03558	−	0.665526i	0.231563	−	0.148816i
$21$	−1.64294	−	2.07382i	−0.358520	−	0.452545i
$22$			2.77431i			0.591485i
$23$	4.47959	−	1.71269i	0.934058	−	0.357121i
$23$	4.47959	−	1.71269i	0.934058	−	0.357121i
$24$	1.81039	−	1.04523i	0.369545	−	0.213357i
$25$	−2.16455	−	0.417183i	−0.432911	−	0.0834367i
$26$	1.70464	−	0.0812021i	0.334308	−	0.0159250i
$27$	−0.989821	+	0.142315i	−0.190491	+	0.0273885i
$28$	0.466022	+	1.89133i	0.0880700	+	0.357429i
$29$	−1.03896	+	7.22612i	−0.192930	+	1.34186i	0.631272	+	0.775561i	$0.282533\pi$
$29$	−1.03896	+	7.22612i	−0.192930	+	1.34186i	−0.824202	+	0.566296i	$0.808376\pi$
$30$	−2.68780	−	0.652054i	−0.490723	−	0.119048i
$31$	−0.732534	−	0.0348949i	−0.131567	−	0.00626731i	−0.0183049	−	0.999832i	$-0.505827\pi$
$31$	−0.732534	−	0.0348949i	−0.131567	−	0.00626731i	−0.113262	+	0.993565i	$0.536130\pi$
$32$	−3.95679	+	0.377827i	−0.699468	+	0.0667911i
$33$	1.21383	−	1.15738i	0.211300	−	0.201474i
$34$	8.68331	+	10.0211i	1.48917	+	1.71860i
$35$	−2.19810	+	3.83896i	−0.371547	+	0.648903i
$36$	0.706415	+	0.207422i	0.117736	+	0.0345704i
$37$	2.16985	−	1.54514i	0.356721	−	0.254020i	−0.387620	−	0.921819i	$-0.626703\pi$
$37$	2.16985	−	1.54514i	0.356721	−	0.254020i	0.744342	+	0.667799i	$0.232763\pi$
$38$	0.0997651	−	2.09433i	0.0161840	−	0.339745i
$39$	−0.746668	−	0.711946i	−0.119563	−	0.114003i
$40$	−2.74747	−	2.16063i	−0.434413	−	0.341626i
$41$	−2.27573	+	1.03929i	−0.355409	+	0.162310i	−0.585115	−	0.810950i	$-0.698951\pi$
$41$	−2.27573	+	1.03929i	−0.355409	+	0.162310i	0.229706	+	0.973260i	$0.426223\pi$
$42$	2.35289	−	3.69020i	0.363058	−	0.569410i
$43$	−1.31574	−	2.04733i	−0.200649	−	0.312215i	0.726318	−	0.687359i	$-0.241230\pi$
$43$	−1.31574	−	2.04733i	−0.200649	−	0.312215i	−0.926967	+	0.375143i	$0.877594\pi$
$44$	−1.16689	+	0.403863i	−0.175915	+	0.0608847i
$45$	0.836004	+	1.44800i	0.124624	+	0.215855i
$46$	5.10080	+	6.07580i	0.752072	+	0.895827i
$47$	−2.89094	−	1.66908i	−0.421687	−	0.243461i	0.274112	−	0.961698i	$-0.411616\pi$
$47$	−2.89094	−	1.66908i	−0.421687	−	0.243461i	−0.695799	+	0.718237i	$0.744949\pi$
$48$	3.72617	+	3.22874i	0.537826	+	0.466029i
$49$	−4.62186	−	5.25723i	−0.660266	−	0.751032i
$50$	−0.518938	−	3.60929i	−0.0733889	−	0.510431i
$51$	0.761972	−	7.97973i	0.106697	−	1.11739i
$52$	0.282303	+	0.705158i	0.0391484	+	0.0977879i
$53$	−7.76255	+	8.14113i	−1.06627	+	1.11827i	−0.0736139	+	0.997287i	$0.523453\pi$
$53$	−7.76255	+	8.14113i	−1.06627	+	1.11827i	−0.992655	+	0.120983i	$0.961395\pi$
$54$	−0.757979	−	1.47027i	−0.103148	−	0.200079i
$55$	−2.55083	−	1.16493i	−0.343954	−	0.157079i
$56$	4.64209	−	3.00687i	0.620325	−	0.401810i
$57$	−0.957939	+	0.830059i	−0.126882	+	0.109944i
$58$	−11.8578	+	2.28541i	−1.55701	+	0.300089i
$59$	4.72167	−	1.14547i	0.614710	−	0.149127i	0.0836976	−	0.996491i	$-0.473327\pi$
$59$	4.72167	−	1.14547i	0.614710	−	0.149127i	0.531012	+	0.847364i	$0.321812\pi$
$60$	−0.117014	−	1.22542i	−0.0151064	−	0.158201i
$61$	−8.22889	+	4.24229i	−1.05360	+	0.543169i	−0.895872	−	0.444313i	$-0.853448\pi$
$61$	−8.22889	+	4.24229i	−1.05360	+	0.543169i	−0.157730	+	0.987482i	$0.550417\pi$
$62$	−0.341770	−	1.16396i	−0.0434049	−	0.147823i
$63$	−2.59613	+	0.510027i	−0.327081	+	0.0642574i
$64$	1.36503	+	2.98900i	0.170629	+	0.373624i
$65$	−0.641114	+	1.60143i	−0.0795204	+	0.198632i
$66$	2.46590	+	1.27126i	0.303532	+	0.156482i
$67$	−0.325697	+	1.68987i	−0.0397902	+	0.206451i	−0.996383	−	0.0849771i	$-0.972918\pi$
$67$	−0.325697	+	1.68987i	−0.0397902	+	0.206451i	0.956593	+	0.291428i	$0.0941304\pi$
$68$	−2.95085	+	5.11102i	−0.357843	+	0.619803i
$69$	0.530365	−	4.76642i	0.0638484	−	0.573809i
$70$	−7.19021	−	1.35907i	−0.859394	−	0.162440i
$71$	−6.99726	+	8.07527i	−0.830422	+	0.958358i	−0.999629	−	0.0272225i	$-0.991334\pi$
$71$	−6.99726	+	8.07527i	−0.830422	+	0.958358i	0.169207	+	0.985580i	$0.445879\pi$
$72$	−0.0994682	−	2.08809i	−0.0117224	−	0.246084i
$73$	−8.07152	−	10.2638i	−0.944700	−	1.20128i	−0.979409	−	0.201887i	$-0.935293\pi$
$73$	−8.07152	−	10.2638i	−0.944700	−	1.20128i	0.0347087	−	0.999397i	$-0.488950\pi$
$74$	3.58927	+	2.55591i	0.417245	+	0.297119i
$75$	−1.36266	+	1.73277i	−0.157347	+	0.200083i
$76$	0.895406	−	0.262915i	0.102710	−	0.0301584i
$77$	3.05061	−	3.22245i	0.347649	−	0.367232i
$78$	0.708937	−	1.55236i	0.0802713	−	0.175770i
$79$	2.74844	+	2.88248i	0.309224	+	0.324305i	0.859947	−	0.510383i	$-0.170496\pi$
$79$	2.74844	+	2.88248i	0.309224	+	0.324305i	−0.550723	+	0.834688i	$0.685648\pi$
$80$	2.69626	−	7.79032i	0.301451	−	0.870984i
$81$	−0.327068	+	0.945001i	−0.0363409	+	0.105000i
$82$	−2.85581	−	2.99509i	−0.315372	−	0.330753i
$83$	−1.39337	+	3.05106i	−0.152943	+	0.334898i	−0.970558	−	0.240867i	$-0.922568\pi$
$83$	−1.39337	+	3.05106i	−0.152943	+	0.334898i	0.817615	+	0.575765i	$0.195296\pi$
$84$	1.89463	+	0.452442i	0.206721	+	0.0493655i
$85$	−12.8600	+	3.77602i	−1.39486	+	0.409567i
$86$	2.48851	−	3.16439i	0.268342	−	0.341225i
$87$	5.94675	+	4.23466i	0.637559	+	0.454004i
$88$	2.16731	+	2.75596i	0.231036	+	0.293786i
$89$	0.110733	+	2.32458i	0.0117377	+	0.246405i	0.997109	+	0.0759839i	$0.0242097\pi$
$89$	0.110733	+	2.32458i	0.0117377	+	0.246405i	−0.985371	+	0.170421i	$0.945487\pi$
$90$	−1.81119	+	2.09023i	−0.190916	+	0.220329i
$91$	−2.06929	−	1.78009i	−0.216920	−	0.186604i
$92$	−1.81297	+	3.02989i	−0.189015	+	0.315887i
$93$	−0.366683	+	0.635113i	−0.0380232	+	0.0658581i
$94$	1.04502	−	5.42207i	0.107785	−	0.559244i
$95$	1.88373	+	0.971132i	0.193267	+	0.0996361i
$96$	−1.47728	+	3.69006i	−0.150774	+	0.376615i
$97$	1.44869	+	3.17218i	0.147092	+	0.322086i	0.968809	−	0.247810i	$-0.0797108\pi$
$97$	1.44869	+	3.17218i	0.147092	+	0.322086i	−0.821717	+	0.569896i	$0.806983\pi$
$98$	5.71747	−	10.0691i	0.577551	−	1.01713i
$99$	−0.472514	−	1.60924i	−0.0474895	−	0.161734i
$100$	1.44254	−	0.743681i	0.144254	−	0.0743681i
$101$	−0.694753	−	7.27578i	−0.0691305	−	0.723967i	−0.961891	−	0.273435i	$-0.911840\pi$
$101$	−0.694753	−	7.27578i	−0.0691305	−	0.723967i	0.892760	−	0.450532i	$-0.148766\pi$
$102$	12.8860	−	3.12611i	1.27590	−	0.309531i
$103$	12.2932	−	2.36931i	1.21128	−	0.233455i	0.456676	−	0.889633i	$-0.349040\pi$
$103$	12.2932	−	2.36931i	1.21128	−	0.233455i	0.754606	+	0.656178i	$0.227828\pi$
$104$	1.62993	−	1.41234i	0.159828	−	0.138491i
$105$	2.40498	+	3.71287i	0.234702	+	0.362339i
$106$	−16.9258	−	7.72974i	−1.64398	−	0.750778i
$107$	9.11471	+	17.6801i	0.881152	+	1.70920i	0.684891	+	0.728646i	$0.259850\pi$
$107$	9.11471	+	17.6801i	0.881152	+	1.70920i	0.196261	+	0.980552i	$0.437120\pi$
$108$	0.508062	−	0.532840i	0.0488883	−	0.0512726i
$109$	1.89387	+	4.73065i	0.181400	+	0.453114i	0.990999	−	0.133868i	$-0.0427399\pi$
$109$	1.89387	+	4.73065i	0.181400	+	0.453114i	−0.809600	+	0.586983i	$0.800316\pi$
$110$	0.440933	−	4.61766i	0.0420414	−	0.440277i
$111$	−0.379095	−	2.63667i	−0.0359821	−	0.250261i
$112$	10.2827	+	8.02686i	0.971622	+	0.758467i
$113$	−10.4009	−	9.01245i	−0.978437	−	0.847820i	0.00992388	−	0.999951i	$-0.496841\pi$
$113$	−10.4009	−	9.01245i	−0.978437	−	0.847820i	−0.988360	+	0.152131i	$0.951387\pi$
$114$	−1.81580	−	1.04835i	−0.170065	−	0.0981871i
$115$	−7.72819	+	2.13871i	−0.720658	+	0.199435i
$116$	−2.68743	−	4.65476i	−0.249521	−	0.432183i
$117$	−0.974946	+	0.337432i	−0.0901338	+	0.0311956i
$118$	4.34510	+	6.76111i	0.399999	+	0.622410i
$119$	0.933144	−	21.1879i	0.0855411	−	1.94229i
$120$	−3.17941	+	1.45199i	−0.290239	+	0.132548i
$121$	−6.43549	−	5.06092i	−0.585044	−	0.460084i
$122$	−11.0835	−	10.5681i	−1.00345	−	0.956788i
$123$	−0.119041	+	2.49898i	−0.0107336	+	0.225325i
$124$	0.439815	−	0.313191i	0.0394965	−	0.0281254i
$125$	11.5579	+	3.39369i	1.03377	+	0.303541i
$126$	−2.20183	−	3.78228i	−0.196154	−	0.336952i
$127$	4.50842	+	5.20299i	0.400058	+	0.461691i	0.919659	−	0.392718i	$-0.128465\pi$
$127$	4.50842	+	5.20299i	0.400058	+	0.461691i	−0.519602	+	0.854409i	$0.673920\pi$
$128$	−9.68720	+	9.23673i	−0.856236	+	0.816419i
$129$	−2.42265	+	0.231335i	−0.213302	+	0.0203679i
$130$	−2.85018	−	0.135771i	−0.249977	−	0.0119079i
$131$	−17.0050	−	4.12536i	−1.48573	−	0.360434i	−0.590865	−	0.806770i	$-0.701213\pi$
$131$	−17.0050	−	4.12536i	−1.48573	−	0.360434i	−0.894865	+	0.446336i	$0.852729\pi$
$132$	−0.175730	+	1.22223i	−0.0152953	+	0.106381i
$133$	−2.41878	+	2.32293i	−0.209735	+	0.201423i
$134$	−2.81779	+	0.405137i	−0.243420	+	0.0349985i
$135$	1.67011	−	0.0795573i	0.143741	−	0.00684721i
$136$	16.4544	+	3.17132i	1.41095	+	0.271939i
$137$	15.1009	−	8.71851i	1.29016	−	0.744872i	0.311475	−	0.950254i	$-0.399177\pi$
$137$	15.1009	−	8.71851i	1.29016	−	0.744872i	0.978682	+	0.205382i	$0.0658437\pi$
$138$	7.73771	−	1.74968i	0.658677	−	0.148943i
$139$			9.31466i			0.790060i	0.918668	+	0.395030i	$0.129266\pi$
$139$			9.31466i			0.790060i	−0.918668	+	0.395030i	$0.870734\pi$
$140$	−0.475067	−	3.22207i	−0.0401505	−	0.272315i
$141$	−2.80824	+	1.80475i	−0.236497	+	0.151987i
$142$	−16.4088	−	6.56908i	−1.37699	−	0.551265i
$143$	1.00368	−	1.40948i	0.0839323	−	0.117866i
$144$	4.57725	−	1.83246i	0.381438	−	0.152705i
$145$	2.87776	−	11.8623i	0.238985	−	0.985110i
$146$	11.6773	−	18.1702i	0.966417	−	1.50377i
$147$	−6.79067	+	1.69907i	−0.560085	+	0.140137i
$148$	−0.552527	+	1.88173i	−0.0454174	+	0.154678i
$149$	0.156216	+	0.810527i	0.0127977	+	0.0664010i	0.987766	−	0.155943i	$-0.0498415\pi$
$149$	0.156216	+	0.810527i	0.0127977	+	0.0664010i	−0.974968	+	0.222344i	$0.928629\pi$
$150$	−3.44586	−	1.19262i	−0.281353	−	0.0973773i
$151$	−2.08837	−	8.60839i	−0.169949	−	0.700541i	−0.991467	−	0.130358i	$-0.958387\pi$
$151$	−2.08837	−	8.60839i	−0.169949	−	0.700541i	0.821518	−	0.570183i	$-0.193128\pi$
$152$	−1.53700	−	2.15841i	−0.124667	−	0.175070i
$153$	−6.74351	−	4.33379i	−0.545181	−	0.350366i
$154$	6.68772	+	3.02523i	0.538911	+	0.243780i
$155$	1.21371	+	0.174505i	0.0974876	+	0.0140166i
$156$	0.756128	+	0.0722015i	0.0605387	+	0.00578075i
$157$	−7.58667	+	5.96623i	−0.605482	+	0.476157i	−0.873214	−	0.487337i	$-0.837968\pi$
$157$	−7.58667	+	5.96623i	−0.605482	+	0.476157i	0.267732	+	0.963494i	$0.413726\pi$
$158$	−3.01888	+	5.85580i	−0.240169	+	0.465862i
$159$	3.67912	+	10.6301i	0.291773	+	0.843023i
$160$	6.64587			0.525402
$161$	0.756153	−	12.6660i	0.0595932	−	0.998223i
$162$	−1.65416			−0.129963
$163$	−5.37132	−	15.5194i	−0.420714	−	1.21557i	−0.933974	−	0.357341i	$-0.883684\pi$
$163$	−5.37132	−	15.5194i	−0.420714	−	1.21557i	0.513260	−	0.858233i	$-0.328438\pi$
$164$	0.844020	−	1.63717i	0.0659069	−	0.127841i
$165$	−2.20429	+	1.73347i	−0.171604	+	0.134951i
$166$	−5.52321	−	0.527403i	−0.428684	−	0.0409344i
$167$	−12.2688	−	1.76399i	−0.949388	−	0.136501i	−0.349813	−	0.936820i	$-0.613755\pi$
$167$	−12.2688	−	1.76399i	−0.949388	−	0.136501i	−0.599575	+	0.800318i	$0.704664\pi$
$168$	−0.545486	−	5.50388i	−0.0420851	−	0.424633i
$169$	10.0409	+	6.45288i	0.772376	+	0.496376i
$170$	−12.8601	−	18.0595i	−0.986326	−	1.38510i
$171$	0.298833	+	1.23181i	0.0228523	+	0.0941985i
$172$	1.69321	+	0.586027i	0.129106	+	0.0446841i
$173$	1.42074	+	7.37152i	0.108017	+	0.560446i	0.995103	+	0.0988420i	$0.0315138\pi$
$173$	1.42074	+	7.37152i	0.108017	+	0.560446i	−0.887086	+	0.461604i	$0.847274\pi$
$174$	−3.40222	+	11.5869i	−0.257922	+	0.878400i
$175$	−3.36598	+	4.76293i	−0.254444	+	0.360044i
$176$	−4.47066	+	6.95648i	−0.336989	+	0.524365i
$177$	1.14547	−	4.72167i	0.0860985	−	0.354903i
$178$	−3.57383	+	1.43074i	−0.267870	+	0.107239i
$179$	−0.756218	+	1.06196i	−0.0565224	+	0.0793746i	−0.841870	−	0.539681i	$-0.818545\pi$
$179$	−0.756218	+	1.06196i	−0.0565224	+	0.0793746i	0.785347	+	0.619055i	$0.212484\pi$
$180$	−1.14282	−	0.457515i	−0.0851805	−	0.0341011i
$181$	19.1508	−	12.3075i	1.42347	−	0.914809i	0.423510	−	0.905891i	$-0.360798\pi$
$181$	19.1508	−	12.3075i	1.42347	−	0.914809i	0.999960	−	0.00891722i	$-0.00283848\pi$
$182$	1.66307	−	4.19773i	0.123275	−	0.311157i
$183$			9.25806i			0.684375i
$184$	9.81350	+	2.05083i	0.723461	+	0.151189i
$185$	−3.85716	+	2.22693i	−0.283584	+	0.163727i
$186$	−1.19118	−	0.229581i	−0.0873415	−	0.0168337i
$187$	13.4290	−	0.639704i	0.982029	−	0.0467798i
$188$	2.43267	−	0.349765i	0.177421	−	0.0255092i
$189$	−0.736284	+	2.54124i	−0.0535568	+	0.184848i
$190$	−0.498914	+	3.47002i	−0.0361950	+	0.251742i
$191$	−5.52447	−	1.34022i	−0.399736	−	0.0969750i	0.0308508	−	0.999524i	$-0.490178\pi$
$191$	−5.52447	−	1.34022i	−0.399736	−	0.0969750i	−0.430587	+	0.902549i	$0.641693\pi$
$192$	3.28222	+	0.156351i	0.236874	+	0.0112837i
$193$	−15.2544	+	1.45662i	−1.09803	+	0.104850i	−0.628310	−	0.777963i	$-0.716253\pi$
$193$	−15.2544	+	1.45662i	−1.09803	+	0.104850i	−0.469725	+	0.882813i	$0.655647\pi$
$194$	−4.17492	+	3.98078i	−0.299742	+	0.285803i
$195$	1.12963	+	1.30366i	0.0808944	+	0.0933571i
$196$	5.06740	+	0.939009i	0.361957	+	0.0670721i
$197$	18.1149	+	5.31902i	1.29063	+	0.378964i	0.853811	−	0.520583i	$-0.174285\pi$
$197$	18.1149	+	5.31902i	1.29063	+	0.378964i	0.436823	+	0.899547i	$0.356104\pi$
$198$	2.25989	−	1.60926i	0.160603	−	0.114365i
$199$	−0.839882	+	17.6313i	−0.0595376	+	1.24985i	0.749465	+	0.662044i	$0.230311\pi$
$199$	−0.839882	+	17.6313i	−0.0595376	+	1.24985i	−0.809003	+	0.587805i	$0.799992\pi$
$200$	−3.33511	−	3.18002i	−0.235828	−	0.224861i
$201$	1.35278	+	1.06384i	0.0954176	+	0.0750372i
$202$	10.9975	−	5.02238i	0.773780	−	0.353374i
$203$	16.2863	+	10.3842i	1.14307	+	0.728827i
$204$	3.19070	+	4.96483i	0.223394	+	0.347608i
$205$	3.95298	−	1.36814i	0.276088	−	0.0955551i
$206$	10.3545	+	17.9346i	0.721435	+	1.24956i
$207$	−3.99353	−	2.65550i	−0.277570	−	0.184570i
$208$	4.40518	+	2.54333i	0.305444	+	0.176348i
$209$	−1.60663	−	1.39215i	−0.111133	−	0.0962972i
$210$	−4.50273	+	5.76815i	−0.310718	+	0.398040i
$211$	−0.0671972	−	0.467367i	−0.00462605	−	0.0321749i	0.987378	−	0.158383i	$-0.0506282\pi$
$211$	−0.0671972	−	0.467367i	−0.00462605	−	0.0321749i	−0.992004	+	0.126209i	$0.959719\pi$
$212$	0.787233	−	8.24428i	0.0540674	−	0.566220i
$213$	3.97125	+	9.91971i	0.272106	+	0.679688i
$214$	−22.7059	+	23.8132i	−1.55214	+	1.62784i
$215$	1.86458	+	3.61677i	0.127163	+	0.246662i
$216$	−1.90155	−	0.868409i	−0.129384	−	0.0590878i
$217$	−0.882906	+	1.72779i	−0.0599356	+	0.117290i
$218$	−6.37024	+	5.51984i	−0.431447	+	0.373851i
$219$	−12.8214	+	2.47112i	−0.866389	+	0.166983i
$220$	2.00640	−	0.486746i	0.135271	−	0.0328164i
$221$	−0.786117	−	8.23259i	−0.0528800	−	0.553784i
$222$	3.91649	−	2.01909i	0.262857	−	0.135512i
$223$	7.11824	+	24.2425i	0.476672	+	1.62340i	0.749973	+	0.661469i	$0.230066\pi$
$223$	7.11824	+	24.2425i	0.476672	+	1.62340i	−0.273301	+	0.961929i	$0.588115\pi$
$224$	−3.40387	+	9.95018i	−0.227431	+	0.664824i
$225$	0.915736	+	2.00518i	0.0610491	+	0.133679i
$226$	8.46096	−	21.1345i	0.562815	−	1.40584i
$227$	8.71898	+	4.49495i	0.578699	+	0.298340i	0.722616	−	0.691250i	$-0.242940\pi$
$227$	8.71898	+	4.49495i	0.578699	+	0.298340i	−0.143917	+	0.989590i	$0.545970\pi$
$228$	0.176611	−	0.916343i	0.0116963	−	0.0606863i
$229$	5.52994	−	9.57814i	0.365429	−	0.632941i	−0.623416	−	0.781890i	$-0.714256\pi$
$229$	5.52994	−	9.57814i	0.365429	−	0.632941i	0.988845	+	0.148949i	$0.0475890\pi$
$230$	−7.52431	−	10.9235i	−0.496138	−	0.720273i
$231$	−1.46636	−	4.18810i	−0.0964793	−	0.275557i
$232$	−9.99400	+	11.5337i	−0.656139	+	0.757224i
$233$	0.721910	+	15.1547i	0.0472939	+	0.992821i	0.890430	+	0.455120i	$0.150404\pi$
$233$	0.721910	+	15.1547i	0.0472939	+	0.992821i	−0.843136	+	0.537700i	$0.819293\pi$
$234$	−1.05493	−	1.34146i	−0.0689632	−	0.0876939i
$235$	4.54651	+	3.23755i	0.296582	+	0.211195i
$236$	−2.21122	+	2.81180i	−0.143938	+	0.183032i
$237$	3.82146	−	1.12208i	0.248231	−	0.0728871i
$238$	33.6253	−	10.0044i	2.17961	−	0.648491i
$239$	−2.94569	+	6.45016i	−0.190541	+	0.417226i	−0.980658	−	0.195730i	$-0.937292\pi$
$239$	−2.94569	+	6.45016i	−0.190541	+	0.417226i	0.790117	+	0.612956i	$0.210020\pi$
$240$	−5.68882	−	5.96626i	−0.367212	−	0.385120i
$241$	1.76037	−	5.08627i	0.113396	−	0.327635i	−0.873996	−	0.485934i	$-0.838480\pi$
$241$	1.76037	−	5.08627i	0.113396	−	0.327635i	0.987391	+	0.158298i	$0.0506008\pi$
$242$	4.42939	−	12.7979i	0.284732	−	0.822680i
$243$	0.690079	+	0.723734i	0.0442686	+	0.0464276i
$244$	2.83152	−	6.20017i	0.181270	−	0.396925i
$245$	6.85724	+	9.48489i	0.438093	+	0.605968i
$246$	−3.97075	+	1.16592i	−0.253166	+	0.0743363i
$247$	−0.808367	+	1.02792i	−0.0514352	+	0.0654051i
$248$	−1.24880	−	0.889269i	−0.0792991	−	0.0564686i
$249$	2.07341	+	2.63656i	0.131397	+	0.167085i
$250$	0.948100	+	19.9031i	0.0599631	+	1.25878i
$251$	−9.02650	+	10.4171i	−0.569748	+	0.657524i	−0.965369	−	0.260890i	$-0.915984\pi$
$251$	−9.02650	+	10.4171i	−0.569748	+	0.657524i	0.395621	+	0.918414i	$0.370529\pi$
$252$	1.27032	−	1.47669i	0.0800224	−	0.0930229i
$253$	8.03933	−	0.257220i	0.505428	−	0.0161713i
$254$	−5.69406	+	9.86241i	−0.357277	+	0.618823i
$255$	−2.53651	+	13.1607i	−0.158842	+	0.824152i
$256$	−13.8383	−	7.13416i	−0.864896	−	0.445885i
$257$	−6.56991	+	16.4108i	−0.409820	+	1.02368i	0.569614	+	0.821912i	$0.307093\pi$
$257$	−6.56991	+	16.4108i	−0.409820	+	1.02368i	−0.979433	+	0.201767i	$0.935331\pi$
$258$	−1.67232	−	3.66188i	−0.104114	−	0.227979i
$259$	−1.35860	−	6.91551i	−0.0844193	−	0.429709i
$260$	−0.357801	−	1.21856i	−0.0221899	−	0.0755718i
$261$	6.48888	−	3.34525i	0.401652	−	0.207066i
$262$	−2.75138	−	28.8137i	−0.169981	−	1.78012i
$263$	−27.1412	+	6.58439i	−1.67360	+	0.406011i	−0.956679	−	0.291145i	$-0.905964\pi$
$263$	−27.1412	+	6.58439i	−1.67360	+	0.406011i	−0.716920	+	0.697156i	$0.754449\pi$
$264$	3.44271	−	0.663528i	0.211884	−	0.0408373i
$265$	14.2142	−	12.3167i	0.873170	−	0.756606i
$266$	−4.93977	−	2.52424i	−0.302877	−	0.154771i
$267$	2.11691	+	0.966760i	0.129553	+	0.0591648i
$268$	−0.580594	−	1.12620i	−0.0354654	−	0.0687934i
$269$	−8.25231	+	8.65478i	−0.503152	+	0.527691i	−0.925502	−	0.378742i	$-0.876357\pi$
$269$	−8.25231	+	8.65478i	−0.503152	+	0.527691i	0.422350	+	0.906433i	$0.361205\pi$
$270$	1.02793	+	2.56765i	0.0625579	+	0.156262i
$271$	−2.02665	+	21.2240i	−0.123110	+	1.28927i	0.697004	+	0.717067i	$0.254516\pi$
$271$	−2.02665	+	21.2240i	−0.123110	+	1.28927i	−0.820114	+	0.572200i	$0.806090\pi$
$272$	5.62463	+	39.1202i	0.341043	+	2.37201i
$273$	−2.53041	+	1.02357i	−0.153147	+	0.0619492i
$274$	21.7985	+	18.8885i	1.31690	+	1.14110i
$275$	−3.20182	−	1.84857i	−0.193077	−	0.111473i
$276$	1.86232	+	2.99980i	0.112098	+	0.180567i
$277$	−1.02861	−	1.78161i	−0.0618035	−	0.107047i	0.833468	−	0.552568i	$-0.186352\pi$
$277$	−1.02861	−	1.78161i	−0.0618035	−	0.107047i	−0.895272	+	0.445521i	$0.853019\pi$
$278$	−14.5605	+	5.03944i	−0.873281	+	0.302245i
$279$	0.396487	+	0.616946i	0.0237371	+	0.0369356i
$280$	−8.20435	+	4.26696i	−0.490304	+	0.254999i
$281$	29.9135	−	13.6611i	1.78449	−	0.814950i	0.811415	−	0.584470i	$-0.198697\pi$
$281$	29.9135	−	13.6611i	1.78449	−	0.814950i	0.973077	−	0.230481i	$-0.0740298\pi$
$282$	−4.34047	−	3.41338i	−0.258471	−	0.203264i
$283$	−20.3366	−	19.3909i	−1.20888	−	1.15267i	−0.983978	−	0.178287i	$-0.942944\pi$
$283$	−20.3366	−	19.3909i	−1.20888	−	1.15267i	−0.224905	−	0.974381i	$-0.572207\pi$
$284$	0.374317	−	7.85787i	0.0222116	−	0.466279i
$285$	1.72635	−	1.22933i	0.102260	−	0.0728193i
$286$	2.74628	+	0.806381i	0.162391	+	0.0476823i
$287$	0.0237425	+	6.61912i	0.00140148	+	0.390715i
$288$	2.60293	+	3.00394i	0.153379	+	0.177009i
$289$	34.2013	−	32.6109i	2.01184	−	1.91829i
$290$	20.0998	−	1.91930i	1.18030	−	0.112705i
$291$	3.48337	+	0.165934i	0.204199	+	0.00972720i
$292$	9.34233	+	2.26643i	0.546719	+	0.132633i
$293$	−2.26382	+	15.7452i	−0.132254	+	0.919847i	0.810353	+	0.585942i	$0.199275\pi$
$293$	−2.26382	+	15.7452i	−0.132254	+	0.919847i	−0.942607	+	0.333905i	$0.891634\pi$
$294$	−6.32986	−	9.69580i	−0.369165	−	0.565471i
$295$	−8.04098	+	1.15612i	−0.468164	+	0.0673118i
$296$	5.56222	−	0.264961i	0.323298	−	0.0154006i
$297$	−1.64687	−	0.317407i	−0.0955608	−	0.0184178i
$298$	−1.18248	+	0.682708i	−0.0684995	+	0.0395482i
$299$	−0.393351	−	4.93214i	−0.0227481	−	0.285233i
$300$		−	1.62295i		−	0.0937013i
$301$	−6.37002	+	0.939204i	−0.367162	+	0.0541348i
$302$	12.3266	−	7.92183i	0.709317	−	0.455850i
$303$	−6.78533	−	2.71643i	−0.389807	−	0.156055i
$304$	3.62506	−	5.09069i	0.207911	−	0.291971i
$305$	14.3707	−	5.75316i	0.822865	−	0.329425i
$306$	3.12611	−	12.8860i	0.178708	−	0.736644i
$307$	1.88005	−	2.92541i	0.107300	−	0.166962i	−0.783451	−	0.621453i	$-0.786543\pi$
$307$	1.88005	−	2.92541i	0.107300	−	0.166962i	0.890751	+	0.454491i	$0.150179\pi$
$308$	−0.298878	+	3.25327i	−0.0170301	+	0.185372i
$309$	3.52713	−	12.0123i	0.200651	−	0.683355i
$310$	0.383861	+	1.99166i	0.0218019	+	0.113119i
$311$	−20.8479	−	7.21552i	−1.18218	−	0.409155i	−0.335898	−	0.941898i	$-0.609040\pi$
$311$	−20.8479	−	7.21552i	−1.18218	−	0.409155i	−0.846277	+	0.532743i	$0.821161\pi$
$312$	−0.508462	−	2.09591i	−0.0287860	−	0.118658i
$313$	−8.98388	−	12.6161i	−0.507799	−	0.713104i	0.478497	−	0.878089i	$-0.341182\pi$
$313$	−8.98388	−	12.6161i	−0.507799	−	0.713104i	−0.986296	+	0.164986i	$0.947242\pi$
$314$	−13.4308	−	8.63148i	−0.757946	−	0.487103i
$315$	4.40215	−	0.436294i	0.248033	−	0.0245824i
$316$	−2.90244	−	0.417308i	−0.163275	−	0.0234754i
$317$	13.8681	+	1.32424i	0.778908	+	0.0743767i	0.476934	−	0.878939i	$-0.341748\pi$
$317$	13.8681	+	1.32424i	0.778908	+	0.0743767i	0.301974	+	0.953316i	$0.402354\pi$
$318$	−14.6263	+	11.5022i	−0.820202	+	0.645014i
$319$	−5.61057	+	10.8830i	−0.314131	+	0.609330i
$320$	−1.79695	−	5.19194i	−0.100453	−	0.290239i
$321$	19.8913			1.11022
$322$	20.2084	−	5.67060i	1.12617	−	0.316010i
$323$	−10.1606			−0.565351
$324$	−0.240800	−	0.695745i	−0.0133778	−	0.0386525i
$325$	−1.04212	+	2.02143i	−0.0578063	+	0.112129i
$326$	21.3536	−	16.7927i	1.18267	−	0.930061i
$327$	5.07259	+	0.484374i	0.280515	+	0.0267859i
$328$	−5.17671	−	0.744298i	−0.285836	−	0.0410970i
$329$	−7.17588	+	5.14881i	−0.395619	+	0.283863i
$330$	−3.90230	−	2.50785i	−0.214814	−	0.138053i
$331$	7.65915	+	10.7558i	0.420985	+	0.591191i	0.969543	−	0.244922i	$-0.0787623\pi$
$331$	7.65915	+	10.7558i	0.420985	+	0.591191i	−0.548558	+	0.836113i	$0.684823\pi$
$332$	−0.582200	−	2.39986i	−0.0319524	−	0.131709i
$333$	−2.51727	−	0.871237i	−0.137946	−	0.0477435i
$334$	−3.88026	−	20.1327i	−0.212318	−	1.10161i
$335$	0.810681	−	2.76092i	0.0442922	−	0.150845i
$336$	11.8464	−	5.46149i	0.646272	−	0.297949i
$337$	7.20577	−	11.2124i	0.392523	−	0.610778i	−0.587604	−	0.809149i	$-0.699929\pi$
$337$	7.20577	−	11.2124i	0.392523	−	0.610778i	0.980127	+	0.198370i	$0.0635649\pi$
$338$	−4.65468	+	19.1869i	−0.253181	+	1.04363i
$339$	−12.7766	+	5.11496i	−0.693928	+	0.277807i
$340$	5.72382	−	8.03799i	0.310418	−	0.435921i
$341$	−1.14187	−	0.457138i	−0.0618360	−	0.0247554i
$342$	−1.76386	+	1.13356i	−0.0953785	+	0.0612961i
$343$	−17.7129	+	5.40867i	−0.956406	+	0.292041i
$344$		−	5.08749i		−	0.274299i
$345$	−1.64031	+	7.84910i	−0.0883111	+	0.422582i
$346$	−10.7544	+	6.20903i	−0.578158	+	0.333800i
$347$	−19.9576	−	3.84652i	−1.07138	−	0.206492i	−0.377083	−	0.926179i	$-0.623073\pi$
$347$	−19.9576	−	3.84652i	−1.07138	−	0.206492i	−0.694298	+	0.719688i	$0.744285\pi$
$348$	−5.36876	+	0.255746i	−0.287796	+	0.0137094i
$349$	−2.64543	+	0.380356i	−0.141607	+	0.0203600i	−0.212754	−	0.977106i	$-0.568243\pi$
$349$	−2.64543	+	0.380356i	−0.141607	+	0.0203600i	0.0711469	+	0.997466i	$0.477334\pi$
$350$	−9.26639	−	2.68479i	−0.495309	−	0.143508i
$351$	−0.146825	+	1.02119i	−0.00783691	+	0.0545069i
$352$	−6.47849	−	1.57166i	−0.345305	−	0.0837700i
$353$	10.6579	+	0.507698i	0.567263	+	0.0270221i	0.329255	−	0.944241i	$-0.393203\pi$
$353$	10.6579	+	0.507698i	0.567263	+	0.0270221i	0.238008	+	0.971263i	$0.423506\pi$
$354$	8.00055	−	0.763960i	0.425224	−	0.0406040i
$355$	12.9299	−	12.3287i	0.686250	−	0.654338i
$356$	−1.12203	−	1.29489i	−0.0594674	−	0.0686290i
$357$	−18.4049	−	10.5383i	−0.974093	−	0.557744i
$358$	−2.06916	−	0.607561i	−0.109359	−	0.0321106i
$359$	22.1516	−	15.7741i	1.16911	−	0.832523i	0.180586	−	0.983559i	$-0.442201\pi$
$359$	22.1516	−	15.7741i	1.16911	−	0.832523i	0.988528	+	0.151037i	$0.0482611\pi$
$360$	−0.166312	+	3.49131i	−0.00876539	+	0.184008i
$361$	−12.5882	−	12.0028i	−0.662535	−	0.631726i
$362$	29.5999	+	23.2776i	1.55573	+	1.22344i
$363$	−7.44724	+	3.40104i	−0.390879	+	0.178508i
$364$	2.00768	+	0.0884211i	0.105231	+	0.00463452i
$365$	11.8033	+	18.3663i	0.617812	+	0.961333i
$366$	−14.4720	+	5.00881i	−0.756464	+	0.261815i
$367$	−6.04504	−	10.4703i	−0.315548	−	0.546546i	0.664005	−	0.747728i	$-0.268855\pi$
$367$	−6.04504	−	10.4703i	−0.315548	−	0.546546i	−0.979554	+	0.201182i	$0.935522\pi$
$368$	2.99923	+	23.4545i	0.156346	+	1.22265i
$369$	2.16663	+	1.25090i	0.112790	+	0.0651195i
$370$	−5.56790	−	4.82461i	−0.289461	−	0.250820i
$371$	11.1603	+	27.5898i	0.579412	+	1.43239i
$372$	−0.0768402	−	0.534435i	−0.00398398	−	0.0277092i
$373$	1.48021	−	15.5015i	0.0766426	−	0.802638i	−0.872671	−	0.488308i	$-0.837614\pi$
$373$	1.48021	−	15.5015i	0.0766426	−	0.802638i	0.949314	−	0.314330i	$-0.101780\pi$
$374$	8.26538	+	20.6459i	0.427393	+	1.06758i
$375$	8.31255	−	8.71795i	0.429258	−	0.450193i
$376$	−3.19765	−	6.20257i	−0.164906	−	0.319873i
$377$	6.85114	+	3.12881i	0.352851	+	0.161142i
$378$	−4.37076	+	0.223921i	−0.224808	+	0.0115172i
$379$	7.45363	−	6.45861i	0.382867	−	0.331756i	−0.442070	−	0.896980i	$-0.645756\pi$
$379$	7.45363	−	6.45861i	0.382867	−	0.331756i	0.824937	+	0.565224i	$0.191210\pi$
$380$	−1.53213	+	0.295294i	−0.0785967	+	0.0151483i
$381$	6.69048	−	1.62309i	0.342764	−	0.0831536i
$382$	−0.893851	−	9.36083i	−0.0457334	−	0.478942i
$383$	15.8228	−	8.15723i	0.808508	−	0.416815i	−0.00383652	−	0.999993i	$-0.501221\pi$
$383$	15.8228	−	8.15723i	0.808508	−	0.416815i	0.812345	+	0.583178i	$0.198191\pi$
$384$	3.77100	+	12.8428i	0.192438	+	0.655384i
$385$	−5.58970	+	4.87872i	−0.284878	+	0.248642i
$386$	−10.5299	−	23.0573i	−0.535958	−	1.17358i
$387$	−0.904503	+	2.25934i	−0.0459785	+	0.114849i
$388$	−2.28208	−	1.17650i	−0.115855	−	0.0597276i
$389$	4.23855	−	21.9917i	0.214903	−	1.11502i	−0.700858	−	0.713301i	$-0.747199\pi$
$389$	4.23855	−	21.9917i	0.214903	−	1.11502i	0.915761	−	0.401723i	$-0.131588\pi$
$390$	−1.42670	+	2.47112i	−0.0722439	+	0.125130i
$391$	28.2337	−	26.0914i	1.42784	−	1.31950i
$392$	−2.18638	−	14.4690i	−0.110429	−	0.730794i
$393$	−11.4589	+	13.2243i	−0.578025	+	0.667076i
$394$	1.48598	+	31.1946i	0.0748626	+	1.57156i
$395$	−4.11648	−	5.23454i	−0.207123	−	0.263378i
$396$	1.00584	+	0.716254i	0.0505452	+	0.0359931i
$397$	12.1051	−	15.3929i	0.607540	−	0.772550i	−0.380826	−	0.924647i	$-0.624360\pi$
$397$	12.1051	−	15.3929i	0.607540	−	0.772550i	0.988366	+	0.152097i	$0.0486026\pi$
$398$	−28.0153	+	8.22603i	−1.40428	+	0.412334i
$399$	0.956349	+	3.21433i	0.0478773	+	0.160918i
$400$	4.51497	−	9.88641i	0.225749	−	0.494321i
$401$	−15.2063	−	15.9480i	−0.759368	−	0.796403i	0.224656	−	0.974438i	$-0.427874\pi$
$401$	−15.2063	−	15.9480i	−0.759368	−	0.796403i	−0.984024	+	0.178036i	$0.943026\pi$
$402$	−0.931085	+	2.69019i	−0.0464383	+	0.134175i
$403$	−0.247461	+	0.714991i	−0.0123269	+	0.0356163i
$404$	3.71336	+	3.89446i	0.184747	+	0.193757i
$405$	0.694577	−	1.52091i	0.0345138	−	0.0755747i
$406$	−7.42114	+	31.0764i	−0.368305	+	1.54230i
$407$	4.28665	−	1.25867i	0.212481	−	0.0623902i
$408$	10.3586	−	13.1721i	0.512828	−	0.652114i
$409$	−4.22315	−	3.00729i	−0.208821	−	0.148701i	0.470862	−	0.882207i	$-0.343943\pi$
$409$	−4.22315	−	3.00729i	−0.208821	−	0.148701i	−0.679683	+	0.733506i	$0.737883\pi$
$410$	4.27730	+	5.43903i	0.211241	+	0.268615i
$411$	−0.829686	−	17.4173i	−0.0409254	−	0.859130i
$412$	−6.03602	+	6.96594i	−0.297374	+	0.343187i
$413$	2.38748	−	12.6311i	0.117480	−	0.621535i
$414$	1.99044	−	7.67930i	0.0978250	−	0.377417i
$415$	2.80410	−	4.85685i	0.137648	−	0.238413i
$416$	−0.776070	+	4.02663i	−0.0380500	+	0.197422i
$417$	8.27920	+	4.26823i	0.405434	+	0.209016i
$418$	1.30696	−	3.26464i	0.0639257	−	0.159679i
$419$	−12.4815	−	27.3306i	−0.609759	−	1.33519i	−0.922739	−	0.385426i	$-0.874054\pi$
$419$	−12.4815	−	27.3306i	−0.609759	−	1.33519i	0.312979	−	0.949760i	$-0.398673\pi$
$420$	−3.08158	−	1.05418i	−0.150366	−	0.0514389i
$421$	−7.54695	−	25.7025i	−0.367816	−	1.25267i	−0.910774	−	0.412905i	$-0.864514\pi$
$421$	−7.54695	−	25.7025i	−0.367816	−	1.25267i	0.542958	−	0.839760i	$-0.317304\pi$
$422$	0.694224	−	0.357897i	0.0337943	−	0.0174222i
$423$	0.317313	+	3.32305i	0.0154283	+	0.161572i
$424$	−22.8523	+	5.54391i	−1.10981	+	0.269236i
$425$	−17.3511	+	3.34415i	−0.841653	+	0.162215i
$426$	−13.3578	+	11.5746i	−0.647186	+	0.560790i
$427$	1.25325	+	24.4624i	0.0606490	+	1.18382i
$428$	−13.3213	−	6.08363i	−0.643909	−	0.294063i
$429$	−0.792879	−	1.53797i	−0.0382805	−	0.0742539i
$430$	−4.64489	+	4.87142i	−0.223997	+	0.234921i
$431$	−0.242257	−	0.605130i	−0.0116691	−	0.0291481i	0.922419	−	0.386191i	$-0.126209\pi$
$431$	−0.242257	−	0.605130i	−0.0116691	−	0.0291481i	−0.934088	+	0.357043i	$0.883785\pi$
$432$	0.468667	−	4.90810i	0.0225488	−	0.236141i
$433$	−2.02608	−	14.0917i	−0.0973673	−	0.677204i	−0.978789	−	0.204873i	$-0.934322\pi$
$433$	−2.02608	−	14.0917i	−0.0973673	−	0.677204i	0.881421	−	0.472331i	$-0.156587\pi$
$434$	−3.17851	−	0.445370i	−0.152574	−	0.0213785i
$435$	−9.22496	−	7.99347i	−0.442303	−	0.383258i
$436$	−3.24900	−	1.87581i	−0.155599	−	0.0898350i
$437$	−6.07814	−	0.0949214i	−0.290757	−	0.00454071i
$438$	−10.7995	−	18.7052i	−0.516018	−	0.893770i
$439$	35.4079	−	12.2548i	1.68993	−	0.584889i	0.698506	−	0.715604i	$-0.253848\pi$
$439$	35.4079	−	12.2548i	1.68993	−	0.584889i	0.991420	+	0.130715i	$0.0417273\pi$
$440$	−3.16933	−	4.93157i	−0.151092	−	0.235104i
$441$	−1.60147	+	6.81434i	−0.0762604	+	0.324493i
$442$	12.4437	−	5.68286i	0.591888	−	0.270306i
$443$	21.1510	+	16.6333i	1.00492	+	0.790274i	0.977839	−	0.209359i	$-0.0671378\pi$
$443$	21.1510	+	16.6333i	1.00492	+	0.790274i	0.0270765	+	0.999633i	$0.491380\pi$
$444$	1.41937	+	1.35337i	0.0673603	+	0.0642279i
$445$	0.185147	−	3.88671i	0.00877681	−	0.184248i
$446$	−34.0443	+	24.2428i	−1.61204	+	1.14793i
$447$	0.792008	+	0.232555i	0.0374607	+	0.0109995i
$448$	8.69372	−	0.0311840i	0.410740	−	0.00147331i
$449$	−13.1581	−	15.1852i	−0.620967	−	0.716634i	0.354923	−	0.934895i	$-0.384507\pi$
$449$	−13.1581	−	15.1852i	−0.620967	−	0.716634i	−0.975890	+	0.218261i	$0.929961\pi$
$450$	−2.63903	+	2.51631i	−0.124405	+	0.118620i
$451$	−4.17697	+	0.398852i	−0.196686	+	0.0187812i
$452$	10.1209	+	0.482119i	0.476048	+	0.0226770i
$453$	−8.60839	−	2.08837i	−0.404457	−	0.0981203i
$454$	−2.30925	+	16.0612i	−0.108379	+	0.753789i
$455$	3.16128	+	3.29173i	0.148203	+	0.154319i
$456$	−2.62276	+	0.377096i	−0.122822	+	0.0176592i
$457$	−5.87094	+	0.279667i	−0.274631	+	0.0130823i	−0.184446	−	0.982843i	$-0.559049\pi$
$457$	−5.87094	+	0.279667i	−0.274631	+	0.0130823i	−0.0901853	+	0.995925i	$0.528746\pi$
$458$	17.9642	+	3.46231i	0.839411	+	0.161783i
$459$	−6.94208	+	4.00801i	−0.324029	+	0.187078i
$460$	3.49913	−	4.75491i	0.163148	−	0.221699i
$461$			5.85368i			0.272633i	0.990665	+	0.136317i	$0.0435264\pi$
$461$			5.85368i			0.272633i	−0.990665	+	0.136317i	$0.956474\pi$
$462$	5.75342	−	4.55804i	0.267673	−	0.212059i
$463$	18.3327	−	11.7817i	0.851994	−	0.547543i	−0.0402023	−	0.999192i	$-0.512800\pi$
$463$	18.3327	−	11.7817i	0.851994	−	0.547543i	0.892196	+	0.451648i	$0.149164\pi$
$464$	−33.4159	−	13.3777i	−1.55129	−	0.621045i
$465$	0.711261	−	0.998827i	0.0329839	−	0.0463195i
$466$	−23.2990	+	9.32753i	−1.07931	+	0.432089i
$467$	7.64783	−	31.5248i	0.353899	−	1.45879i	−0.465233	−	0.885188i	$-0.654030\pi$
$467$	7.64783	−	31.5248i	0.353899	−	1.45879i	0.819133	−	0.573604i	$-0.194455\pi$
$468$	0.410653	−	0.638989i	0.0189825	−	0.0295373i
$469$	3.71843	+	2.62784i	0.171701	+	0.121342i
$470$	−2.60112	+	8.85860i	−0.119981	+	0.408617i
$471$	1.82658	+	9.47719i	0.0841643	+	0.436686i
$472$	9.59817	+	3.32196i	0.441792	+	0.152906i
$473$	−0.962294	−	3.96663i	−0.0442463	−	0.182386i
$474$	3.82151	+	5.36657i	0.175528	+	0.246495i
$475$	2.35058	+	1.51063i	0.107852	+	0.0693123i
$476$	9.10283	+	12.6866i	0.417227	+	0.581488i
$477$	11.1343	+	1.60087i	0.509804	+	0.0732988i
$478$	−11.6765	−	1.11497i	−0.534069	−	0.0509974i
$479$	−12.0180	+	9.45109i	−0.549118	+	0.431831i	−0.853784	−	0.520628i	$-0.825698\pi$
$479$	−12.0180	+	9.45109i	−0.549118	+	0.431831i	0.304665	+	0.952460i	$0.401455\pi$
$480$	3.04531	−	5.90709i	0.138999	−	0.269620i
$481$	−0.898845	−	2.59704i	−0.0409838	−	0.118415i
$482$	8.90316			0.405528
$483$	−10.9115	−	6.47600i	−0.496492	−	0.294668i
$484$	6.02764			0.273984
$485$	−1.90708	−	5.51014i	−0.0865960	−	0.250203i
$486$	−0.757979	+	1.47027i	−0.0343826	+	0.0666930i
$487$	−20.3263	+	15.9848i	−0.921072	+	0.724339i	−0.961489	−	0.274844i	$-0.911374\pi$
$487$	−20.3263	+	15.9848i	−0.921072	+	0.724339i	0.0404172	+	0.999183i	$0.487131\pi$
$488$	−19.2660	−	1.83968i	−0.872130	−	0.0832783i
$489$	−16.2555	−	2.33718i	−0.735098	−	0.105691i
$490$	−11.1167	+	15.8506i	−0.502201	+	0.716059i
$491$	36.0907	+	23.1941i	1.62875	+	1.04674i	0.949945	+	0.312418i	$0.101139\pi$
$491$	36.0907	+	23.1941i	1.62875	+	1.04674i	0.678807	+	0.734317i	$0.262497\pi$
$492$	−1.06842	−	1.50039i	−0.0481682	−	0.0676428i
$493$	13.7967	+	56.8708i	0.621373	+	2.56133i
$494$	−2.04417	−	0.707495i	−0.0919717	−	0.0318317i
$495$	0.530707	+	2.75357i	0.0238535	+	0.123764i
$496$	1.01869	−	3.46934i	0.0457405	−	0.155778i
$497$	11.8360	+	25.6731i	0.530917	+	1.15160i
$498$	−2.99966	+	4.66755i	−0.134418	+	0.209158i
$499$	−5.64613	+	23.2736i	−0.252755	+	1.04187i	0.694015	+	0.719961i	$0.255840\pi$
$499$	−5.64613	+	23.2736i	−0.252755	+	1.04187i	−0.946770	+	0.321911i	$0.895675\pi$
$500$	−8.23330	+	3.29611i	−0.368204	+	0.147407i
$501$	−7.18978	+	10.0966i	−0.321216	+	0.451084i
$502$	−21.1674	−	8.47415i	−0.944747	−	0.378220i
$503$	−22.9470	+	14.7472i	−1.02316	+	0.657544i	−0.940766	−	0.339056i	$-0.889892\pi$
$503$	−22.9470	+	14.7472i	−1.02316	+	0.657544i	−0.0823921	+	0.996600i	$0.526256\pi$
$504$	−5.14200	−	2.03718i	−0.229043	−	0.0907430i
$505$			12.2205i			0.543805i
$506$	4.75154	+	12.4278i	0.211232	+	0.552481i
$507$	10.3365	−	5.96781i	0.459062	−	0.265040i
$508$	−4.97707	−	0.959251i	−0.220822	−	0.0425599i
$509$	−41.9531	+	1.99847i	−1.85954	+	0.0885808i	−0.947160	−	0.320762i	$-0.896061\pi$
$509$	−41.9531	+	1.99847i	−1.85954	+	0.0885808i	−0.912381	+	0.409343i	$0.865758\pi$
$510$	−21.9448	+	3.15518i	−0.971731	+	0.139714i
$511$	−33.5433	+	8.26502i	−1.48387	+	0.365623i
$512$	−0.144643	+	1.00601i	−0.00639238	+	0.0444600i
$513$	1.23181	+	0.298833i	0.0543855	+	0.0131938i
$514$	−29.2076	−	1.39133i	−1.28829	−	0.0613688i
$515$	−20.8378	+	1.98977i	−0.918222	+	0.0876796i
$516$	1.29676	−	1.23646i	0.0570866	−	0.0544319i
$517$	−3.66636	−	4.23120i	−0.161246	−	0.186088i
$518$	10.0752	−	5.86518i	0.442677	−	0.257701i
$519$	7.20309	+	2.11502i	0.316181	+	0.0928390i
$520$	−2.93738	+	2.09170i	−0.128813	+	0.0917272i
$521$	−0.490716	+	10.3014i	−0.0214986	+	0.451312i	0.962295	+	0.272008i	$0.0876877\pi$
$521$	−0.490716	+	10.3014i	−0.0214986	+	0.451312i	−0.983794	+	0.179304i	$0.942615\pi$
$522$	8.73986	+	8.33344i	0.382533	+	0.364745i
$523$	21.6035	+	16.9892i	0.944656	+	0.742885i	0.966444	−	0.256877i	$-0.0826936\pi$
$523$	21.6035	+	16.9892i	0.944656	+	0.742885i	−0.0217885	+	0.999763i	$0.506936\pi$
$524$	11.7186	−	5.35173i	0.511931	−	0.233791i
$525$	2.69108	+	5.17431i	0.117448	+	0.225825i
$526$	−24.9766	−	38.8643i	−1.08903	−	1.69456i
$527$	−5.55535	+	1.92273i	−0.241995	+	0.0837553i
$528$	4.13459	+	7.16133i	0.179935	+	0.311657i
$529$	17.1334	−	15.3443i	0.744930	−	0.667143i
$530$	26.9433	+	15.5557i	1.17034	+	0.675699i
$531$	−3.67191	−	3.18173i	−0.159347	−	0.138075i
$532$	0.342612	−	2.44515i	0.0148541	−	0.106011i
$533$	0.367327	+	2.55482i	0.0159107	+	0.110661i
$534$	−0.365926	+	3.83215i	−0.0158352	+	0.165833i
$535$	−12.3609	−	30.8760i	−0.534408	−	1.33489i
$536$	−2.48265	+	2.60373i	−0.107234	+	0.112464i
$537$	0.597388	+	1.15877i	0.0257792	+	0.0500047i
$538$	−17.9937	−	8.21743i	−0.775762	−	0.354278i
$539$	−4.44147	−	10.8677i	−0.191308	−	0.468103i
$540$	−0.930324	+	0.806131i	−0.0400348	+	0.0346903i
$541$	29.9458	−	5.77159i	1.28747	−	0.248140i	0.500828	−	0.865547i	$-0.333029\pi$
$541$	29.9458	−	5.77159i	1.28747	−	0.248140i	0.786644	+	0.617407i	$0.211817\pi$
$542$	−34.2734	+	8.31464i	−1.47217	+	0.357144i
$543$	−2.16392	−	22.6616i	−0.0928625	−	0.972501i
$544$	−28.3201	+	14.6000i	−1.21421	+	0.625970i
$545$	−2.40036	−	8.17487i	−0.102820	−	0.350173i
$546$	−2.96903	−	3.40171i	−0.127063	−	0.145580i
$547$	−3.21785	−	7.04610i	−0.137585	−	0.301270i	0.828280	−	0.560314i	$-0.189320\pi$
$547$	−3.21785	−	7.04610i	−0.137585	−	0.301270i	−0.965865	+	0.259045i	$0.916592\pi$
$548$	−4.77132	+	11.9182i	−0.203821	+	0.509120i
$549$	8.22889	+	4.24229i	0.351200	+	0.181056i
$550$	1.15740	−	6.00514i	0.0493515	−	0.256060i
$551$	4.62677	−	8.01381i	0.197107	−	0.341400i
$552$	6.31965	−	7.78285i	0.268982	−	0.331260i
$553$	9.94551	−	3.48217i	0.422926	−	0.148077i
$554$	2.22848	−	2.57180i	0.0946790	−	0.109265i
$555$	0.211923	+	4.44882i	0.00899564	+	0.188842i
$556$	−4.23922	−	5.39060i	−0.179783	−	0.228612i
$557$	−17.5127	−	12.4707i	−0.742036	−	0.528401i	0.145377	−	0.989376i	$-0.453560\pi$
$557$	−17.5127	−	12.4707i	−0.742036	−	0.528401i	−0.887413	+	0.460975i	$0.847500\pi$
$558$	−0.749890	+	0.953562i	−0.0317454	+	0.0403675i
$559$	−2.40908	+	0.707371i	−0.101893	+	0.0299186i
$560$	−15.8391	−	14.9945i	−0.669325	−	0.633632i
$561$	5.58495	−	12.2293i	0.235797	−	0.516323i
$562$	37.5386	+	39.3693i	1.58347	+	1.66070i
$563$	8.62880	−	24.9313i	0.363661	−	1.05073i	−0.603675	−	0.797230i	$-0.706298\pi$
$563$	8.62880	−	24.9313i	0.363661	−	1.05073i	0.967336	−	0.253498i	$-0.0815811\pi$
$564$	0.803830	−	2.32251i	0.0338473	−	0.0977955i
$565$	15.8793	+	16.6537i	0.668047	+	0.700627i
$566$	19.3089	−	42.2806i	0.811614	−	1.77719i
$567$	1.92136	+	1.81890i	0.0806894	+	0.0763865i
$568$	−21.4320	+	6.29301i	−0.899268	+	0.264049i
$569$	−1.31918	+	1.67748i	−0.0553030	+	0.0703235i	−0.812918	−	0.582378i	$-0.802122\pi$
$569$	−1.31918	+	1.67748i	−0.0553030	+	0.0703235i	0.757615	+	0.652702i	$0.226365\pi$
$570$	2.85566	+	2.03351i	0.119611	+	0.0851743i
$571$	4.66326	+	5.92982i	0.195151	+	0.248155i	0.873774	−	0.486332i	$-0.161665\pi$
$571$	4.66326	+	5.92982i	0.195151	+	0.248155i	−0.678623	+	0.734487i	$0.737423\pi$
$572$	0.0606159	+	1.27248i	0.00253448	+	0.0532052i
$573$	−3.72269	+	4.29622i	−0.155518	+	0.179477i
$574$	−10.3340	+	3.61821i	−0.431335	+	0.151021i
$575$	−10.4108	+	1.83840i	−0.434161	+	0.0766666i
$576$	1.64297	−	2.84571i	0.0684571	−	0.118571i
$577$	6.00074	−	31.1348i	0.249814	−	1.29616i	−0.612777	−	0.790256i	$-0.709947\pi$
$577$	6.00074	−	31.1348i	0.249814	−	1.29616i	0.862591	−	0.505902i	$-0.168840\pi$
$578$	69.4803	+	35.8196i	2.89000	+	1.48990i
$579$	−5.69527	+	14.2261i	−0.236687	+	0.591216i
$580$	3.73325	+	8.17467i	0.155015	+	0.339435i
$581$	5.83546	+	6.68587i	0.242096	+	0.277377i
$582$	1.62520	+	5.53492i	0.0673666	+	0.229430i
$583$	−16.7689	+	8.64498i	−0.694498	+	0.358038i
$584$	−2.59464	−	27.1723i	−0.107367	−	1.12440i
$585$	1.67637	−	0.406682i	0.0693092	−	0.0168142i
$586$	−25.8374	+	4.97976i	−1.06733	+	0.205712i
$587$	−11.7116	+	10.1482i	−0.483391	+	0.418860i	−0.862164	−	0.506629i	$-0.830891\pi$
$587$	−11.7116	+	10.1482i	−0.483391	+	0.418860i	0.378773	+	0.925489i	$0.376346\pi$
$588$	3.15664	−	4.07380i	0.130178	−	0.168001i
$589$	0.845563	+	0.386156i	0.0348408	+	0.0159113i
$590$	−6.15757	−	11.9440i	−0.253503	−	0.491728i
$591$	13.0285	−	13.6639i	0.535919	−	0.562056i
$592$	4.88126	+	12.1928i	0.200618	+	0.501121i
$593$	−0.739350	+	7.74283i	−0.0303615	+	0.317960i	0.967514	+	0.252816i	$0.0813567\pi$
$593$	−0.739350	+	7.74283i	−0.0303615	+	0.317960i	−0.997876	+	0.0651439i	$0.979249\pi$
$594$	−0.394825	−	2.74607i	−0.0161999	−	0.112673i
$595$	−4.92064	+	35.1176i	−0.201727	+	1.43968i
$596$	−0.459287	−	0.397974i	−0.0188131	−	0.0163017i
$597$	15.2865	+	8.82564i	0.625633	+	0.361209i
$598$	7.49702	−	3.28328i	0.306576	−	0.134263i
$599$	−6.72183	−	11.6426i	−0.274647	−	0.475702i	0.695399	−	0.718623i	$-0.255227\pi$
$599$	−6.72183	−	11.6426i	−0.274647	−	0.475702i	−0.970046	+	0.242922i	$0.921894\pi$
$600$	−4.35475	+	1.50719i	−0.177782	+	0.0615309i
$601$	−23.6182	−	36.7507i	−0.963408	−	1.49909i	−0.863657	−	0.504080i	$-0.831832\pi$
$601$	−23.6182	−	36.7507i	−0.963408	−	1.49909i	−0.0997516	−	0.995012i	$-0.531805\pi$
$602$	−4.91446	−	9.44936i	−0.200299	−	0.385127i
$603$	1.56545	−	0.714919i	0.0637502	−	0.0291137i
$604$	5.12637	+	4.03142i	0.208589	+	0.164036i
$605$	9.90711	+	9.44641i	0.402781	+	0.384051i
$606$	0.575267	−	12.0763i	0.0233686	−	0.490568i
$607$	4.49082	−	3.19790i	0.182277	−	0.129799i	−0.485276	−	0.874361i	$-0.661281\pi$
$607$	4.49082	−	3.19790i	0.182277	−	0.129799i	0.667553	+	0.744562i	$0.267342\pi$
$608$	4.83410	+	1.41942i	0.196048	+	0.0575650i
$609$	16.6926	−	9.71750i	0.676420	−	0.393773i
$610$	16.7681	+	19.3514i	0.678921	+	0.783516i
$611$	−2.49250	+	2.37660i	−0.100836	+	0.0961468i
$612$	5.87498	−	0.560993i	0.237482	−	0.0226768i
$613$	30.7180	+	1.46328i	1.24069	+	0.0591013i	0.657638	−	0.753334i	$-0.271556\pi$
$613$	30.7180	+	1.46328i	1.24069	+	0.0591013i	0.583051	+	0.812435i	$0.301859\pi$
$614$	5.59010	+	1.35614i	0.225598	+	0.0547295i
$615$	0.595310	−	4.14047i	0.0240052	−	0.166960i
$616$	9.00680	−	2.21926i	0.362894	−	0.0894167i
$617$	26.5946	−	3.82372i	1.07066	−	0.153937i	0.415623	−	0.909537i	$-0.363564\pi$
$617$	26.5946	−	3.82372i	1.07066	−	0.153937i	0.655033	+	0.755600i	$0.272655\pi$
$618$	20.6856	−	0.985378i	0.832098	−	0.0396377i
$619$	10.7496	+	2.07182i	0.432063	+	0.0832734i	0.400646	−	0.916233i	$-0.368786\pi$
$619$	10.7496	+	2.07182i	0.432063	+	0.0832734i	0.0314174	+	0.999506i	$0.489998\pi$
$620$	−0.781821	+	0.451385i	−0.0313987	+	0.0181280i
$621$	−4.19025	+	2.33277i	−0.168149	+	0.0936108i
$622$		−	36.4928i		−	1.46323i
$623$	5.72435	+	2.26789i	0.229341	+	0.0908613i
$624$	4.27918	−	2.75006i	0.171304	−	0.110090i
$625$	−8.46553	−	3.38909i	−0.338621	−	0.135563i
$626$	14.8607	−	20.8690i	0.593955	−	0.834093i
$627$	−1.97360	+	0.790108i	−0.0788178	+	0.0315539i
$628$	1.67527	−	6.90557i	0.0668507	−	0.275562i
$629$	11.5443	−	17.9632i	0.460300	−	0.716241i
$630$	3.06367	+	6.64531i	0.122059	+	0.264755i
$631$	−5.35476	+	18.2366i	−0.213170	+	0.725989i	0.781594	+	0.623787i	$0.214407\pi$
$631$	−5.35476	+	18.2366i	−0.213170	+	0.725989i	−0.994764	+	0.102201i	$0.967411\pi$
$632$	1.57568	+	8.17542i	0.0626773	+	0.325201i
$633$	−0.446204	−	0.154433i	−0.0177350	−	0.00613815i
$634$	5.43290	+	22.3947i	0.215768	+	0.889408i
$635$	−6.67705	−	9.37660i	−0.264970	−	0.372099i
$636$	−6.96708	−	4.47747i	−0.276263	−	0.177543i
$637$	−6.54751	+	3.04710i	−0.259422	+	0.120731i
$638$	−20.0475	−	2.88239i	−0.793688	−	0.114115i
$639$	10.6367	+	1.01568i	0.420782	+	0.0401799i
$640$	17.5918	−	13.8343i	0.695376	−	0.546850i
$641$	14.4800	−	28.0873i	0.571926	−	1.10938i	−0.408549	−	0.912736i	$-0.633965\pi$
$641$	14.4800	−	28.0873i	0.571926	−	1.10938i	0.980475	−	0.196645i	$-0.0630046\pi$
$642$	10.7616	+	31.0937i	0.424727	+	1.22717i
$643$	35.3207			1.39291			0.696456	−	0.717599i	$-0.254759\pi$
$643$	35.3207			1.39291			0.696456	+	0.717599i	$0.254759\pi$
$644$	5.32686	+	7.67424i	0.209908	+	0.302408i
$645$	4.06911			0.160221
$646$	−5.49711	−	15.8828i	−0.216281	−	0.624902i
$647$	−14.9225	+	28.9456i	−0.586664	+	1.13797i	0.389518	+	0.921019i	$0.372641\pi$
$647$	−14.9225	+	28.9456i	−0.586664	+	1.13797i	−0.976183	+	0.216951i	$0.930389\pi$
$648$	−1.64321	+	1.29224i	−0.0645515	+	0.0507639i
$649$	8.11187	+	0.774590i	0.318419	+	0.0304053i
$650$	−3.72366	−	0.535382i	−0.146054	−	0.0209994i
$651$	1.13115	+	1.57648i	0.0443332	+	0.0617870i
$652$	10.1716	+	6.53687i	0.398349	+	0.256004i
$653$	−10.0483	−	14.1109i	−0.393221	−	0.552202i	0.569746	−	0.821821i	$-0.307042\pi$
$653$	−10.0483	−	14.1109i	−0.393221	−	0.552202i	−0.962967	+	0.269619i	$0.913102\pi$
$654$	1.98722	+	8.19143i	0.0777064	+	0.320310i
$655$	27.6480	+	9.56907i	1.08030	+	0.373895i
$656$	−2.33441	−	12.1121i	−0.0911435	−	0.472898i
$657$	−3.67868	+	12.5284i	−0.143519	+	0.488781i
$658$	−11.9308	−	8.43157i	−0.465112	−	0.328697i
$659$	18.4212	−	28.6639i	0.717588	−	1.11659i	−0.270503	−	0.962719i	$-0.587190\pi$
$659$	18.4212	−	28.6639i	0.717588	−	1.11659i	0.988091	−	0.153870i	$-0.0491736\pi$
$660$	0.486746	−	2.00640i	0.0189466	−	0.0780988i
$661$	−19.9080	+	7.96994i	−0.774330	+	0.309995i	−0.724965	−	0.688786i	$-0.758144\pi$
$661$	−19.9080	+	7.96994i	−0.774330	+	0.309995i	−0.0493649	+	0.998781i	$0.515720\pi$
$662$	−12.6694	+	17.7917i	−0.492412	+	0.691496i
$663$	−7.67764	−	3.07366i	−0.298175	−	0.119371i
$664$	−5.89868	+	3.79085i	−0.228913	+	0.147114i
$665$	4.39511	−	3.48194i	0.170435	−	0.135024i
$666$		−	4.40631i		−	0.170741i
$667$	7.72200	+	34.1494i	0.298997	+	1.32227i
$668$	7.90303	−	4.56282i	0.305778	−	0.176541i
$669$	24.8093	+	4.78161i	0.959185	+	0.184868i
$670$	4.75442	−	0.226481i	0.183679	−	0.00874972i
$671$	−15.3693	+	2.20977i	−0.593326	+	0.0853074i
$672$	7.28432	+	7.58492i	0.280999	+	0.292595i
$673$	2.63259	−	18.3100i	0.101479	−	0.705800i	−0.874035	−	0.485863i	$-0.838506\pi$
$673$	2.63259	−	18.3100i	0.101479	−	0.705800i	0.975514	−	0.219938i	$-0.0705854\pi$
$674$	21.4255	+	5.19777i	0.825279	+	0.200211i
$675$	2.20189	+	0.104889i	0.0847509	+	0.00403718i
$676$	−8.74766	+	0.835301i	−0.336449	+	0.0321269i
$677$	−5.05310	+	4.81812i	−0.194206	+	0.185175i	−0.780943	−	0.624603i	$-0.785261\pi$
$677$	−5.05310	+	4.81812i	−0.194206	+	0.185175i	0.586736	+	0.809778i	$0.300412\pi$
$678$	−14.9080	−	17.2048i	−0.572539	−	0.660745i
$679$	9.22653	−	0.0330952i	0.354082	−	0.00127008i
$680$	−26.8832	−	7.89363i	−1.03093	−	0.302707i
$681$	7.99053	−	5.69003i	0.306198	−	0.218043i
$682$	0.0968093	−	2.03228i	0.00370702	−	0.0778199i
$683$	19.1914	+	18.2990i	0.734339	+	0.700191i	0.961848	−	0.273585i	$-0.0882096\pi$
$683$	19.1914	+	18.2990i	0.734339	+	0.700191i	−0.227509	+	0.973776i	$0.573058\pi$
$684$	−0.733550	−	0.576870i	−0.0280480	−	0.0220572i
$685$	−26.5202	+	12.1114i	−1.01328	+	0.462751i
$686$	−18.0378	−	24.7622i	−0.688686	−	0.945426i
$687$	−5.97942	−	9.30417i	−0.228129	−	0.354976i
$688$	11.3391	−	3.92450i	0.432299	−	0.149620i
$689$	5.80262	+	10.0504i	0.221062	+	0.382891i
$690$	−13.1570	+	1.68244i	−0.500879	+	0.0640495i
$691$	−24.8113	−	14.3248i	−0.943865	−	0.544941i	−0.0526950	−	0.998611i	$-0.516781\pi$
$691$	−24.8113	−	14.3248i	−0.943865	−	0.544941i	−0.891170	+	0.453670i	$0.850114\pi$
$692$	−4.17708	−	3.61946i	−0.158789	−	0.137591i
$693$	−4.39446	−	0.615747i	−0.166932	−	0.0233903i
$694$	−4.78471	−	33.2784i	−0.181625	−	1.26323i
$695$	1.48042	−	15.5037i	0.0561556	−	0.588088i
$696$	5.67204	+	14.1681i	0.214998	+	0.537039i
$697$	−13.8392	+	14.5142i	−0.524199	+	0.549764i
$698$	−2.02580	−	3.92950i	−0.0766777	−	0.148734i
$699$	13.8009	+	6.30265i	0.521997	+	0.238388i
$700$	−0.219697	−	4.28831i	−0.00830376	−	0.162083i
$701$	−8.72681	+	7.56183i	−0.329607	+	0.285606i	−0.803904	−	0.594759i	$-0.797248\pi$
$701$	−8.72681	+	7.56183i	−0.329607	+	0.285606i	0.474297	+	0.880365i	$0.342702\pi$
$702$	−1.67574	+	0.322971i	−0.0632465	+	0.0121898i
$703$	−3.28126	+	0.796024i	−0.123755	+	0.0300226i
$704$	0.523863	+	5.48614i	0.0197438	+	0.206767i
$705$	4.96098	−	2.55756i	0.186841	−	0.0963235i
$706$	4.97253	+	16.9349i	0.187144	+	0.637353i
$707$	−18.2965	−	6.25908i	−0.688110	−	0.235397i
$708$	1.48598	+	3.25385i	0.0558467	+	0.122287i
$709$	−5.16334	+	12.8974i	−0.193913	+	0.484372i	−0.993178	−	0.116607i	$-0.962798\pi$
$709$	−5.16334	+	12.8974i	−0.193913	+	0.484372i	0.799265	+	0.600979i	$0.205222\pi$
$710$	26.2673	+	13.5417i	0.985795	+	0.508212i
$711$	0.753749	−	3.91082i	0.0282678	−	0.146667i
$712$	−2.43248	+	4.21317i	−0.0911609	+	0.157895i
$713$	−3.34121	+	1.09829i	−0.125129	+	0.0411313i
$714$	6.51572	−	34.4717i	0.243845	−	1.29007i
$715$	−1.89458	+	2.18647i	−0.0708534	+	0.0817692i
$716$	−0.0456706	−	0.958743i	−0.00170679	−	0.0358299i
$717$	4.38334	+	5.57387i	0.163699	+	0.208160i
$718$	36.6422	+	26.0928i	1.36747	+	0.973774i
$719$	22.2058	−	28.2370i	0.828137	−	1.05306i	−0.169580	−	0.985516i	$-0.554241\pi$
$719$	22.2058	−	28.2370i	0.828137	−	1.05306i	0.997716	−	0.0675448i	$-0.0215166\pi$
$720$	−7.90979	+	2.32252i	−0.294780	+	0.0865553i
$721$	7.69359	−	32.2174i	0.286524	−	1.19984i
$722$	11.9521	−	26.1713i	0.444809	−	0.973997i
$723$	−3.71420	−	3.89535i	−0.138133	−	0.144869i
$724$	−5.48172	+	15.8384i	−0.203727	+	0.588629i
$725$	5.26350	−	15.2079i	0.195482	−	0.564807i
$726$	−9.34556	−	9.80134i	−0.346846	−	0.363762i
$727$	−17.5699	+	38.4727i	−0.651632	+	1.42687i	0.238487	+	0.971146i	$0.423348\pi$
$727$	−17.5699	+	38.4727i	−0.651632	+	1.42687i	−0.890119	+	0.455728i	$0.849379\pi$
$728$	−1.62722	−	5.46917i	−0.0603089	−	0.202701i
$729$	0.959493	−	0.281733i	0.0355368	−	0.0104345i
$730$	−22.3239	+	28.3872i	−0.826246	+	1.05066i
$731$	−15.8910	−	11.3160i	−0.587751	−	0.418536i
$732$	−4.21345	−	5.35784i	−0.155734	−	0.198031i
$733$	−0.676863	−	14.2091i	−0.0250005	−	0.524826i	−0.976282	−	0.216502i	$-0.930535\pi$
$733$	−0.676863	−	14.2091i	−0.0250005	−	0.524826i	0.951282	−	0.308323i	$-0.0997679\pi$
$734$	13.0965	−	15.1142i	0.483400	−	0.557874i
$735$	11.5727	−	1.74873i	0.426865	−	0.0645027i
$736$	−17.0777	+	8.46926i	−0.629491	+	0.312181i
$737$	−1.44319	+	2.49967i	−0.0531605	+	0.0920766i
$738$	−0.783195	+	4.06360i	−0.0288298	+	0.149583i
$739$	−7.90814	−	4.07693i	−0.290906	−	0.149972i	0.306596	−	0.951840i	$-0.400810\pi$
$739$	−7.90814	−	4.07693i	−0.290906	−	0.149972i	−0.597502	+	0.801867i	$0.703840\pi$
$740$	1.21872	−	3.04421i	0.0448010	−	0.111907i
$741$	0.543239	+	1.18953i	0.0199564	+	0.0436983i
$742$	−37.0898	+	32.3722i	−1.36161	+	1.18842i
$743$	5.98303	+	20.3763i	0.219496	+	0.747535i	0.993447	+	0.114290i	$0.0364594\pi$
$743$	5.98303	+	20.3763i	0.219496	+	0.747535i	−0.773951	+	0.633245i	$0.781722\pi$
$744$	−1.36265	+	0.702494i	−0.0499571	+	0.0257547i
$745$	−0.131192	−	1.37390i	−0.00480649	−	0.0503358i
$746$	25.0325	−	6.07282i	0.916505	−	0.222342i
$747$	3.29356	−	0.634782i	0.120505	−	0.0232254i
$748$	−7.48055	+	6.48193i	−0.273516	+	0.237003i
$749$	52.5584	−	2.69265i	1.92044	−	0.0983874i
$750$	18.1250	+	8.27741i	0.661832	+	0.302248i
$751$	−8.35745	−	16.2112i	−0.304968	−	0.591555i	0.685695	−	0.727889i	$-0.259498\pi$
$751$	−8.35745	−	16.2112i	−0.304968	−	0.591555i	−0.990663	+	0.136334i	$0.956468\pi$
$752$	11.3577	−	11.9116i	0.414174	−	0.434373i
$753$	5.12294	+	12.7965i	0.186690	+	0.466330i
$754$	−1.18428	+	12.4023i	−0.0431288	+	0.451666i
$755$	2.10780	+	14.6600i	0.0767105	+	0.533533i
$756$	−0.730444	−	1.80576i	−0.0265660	−	0.0656749i
$757$	6.63826	+	5.75208i	0.241272	+	0.209063i	0.767100	−	0.641528i	$-0.221699\pi$
$757$	6.63826	+	5.75208i	0.241272	+	0.209063i	−0.525828	+	0.850591i	$0.676245\pi$
$758$	14.1285	+	8.15712i	0.513172	+	0.296280i
$759$	3.45521	−	7.26351i	0.125416	−	0.263649i
$760$	2.21519	+	3.83682i	0.0803533	+	0.139176i
$761$	9.60526	−	3.32441i	0.348191	−	0.120510i	−0.147374	−	0.989081i	$-0.547082\pi$
$761$	9.60526	−	3.32441i	0.348191	−	0.120510i	0.495565	+	0.868571i	$0.334961\pi$
$762$	6.15689	+	9.58030i	0.223040	+	0.347058i
$763$	13.4688	+	0.593185i	0.487603	+	0.0214747i
$764$	3.80708	−	1.73864i	0.137735	−	0.0629016i
$765$	10.5354	+	8.28510i	0.380907	+	0.299548i
$766$	21.3117	+	20.3207i	0.770023	+	0.734216i
$767$	0.238509	−	5.00692i	0.00861205	−	0.180789i
$768$	−12.6822	+	9.03095i	−0.457629	+	0.325876i

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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.bf (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.541022 + 1.56318i) q^{2} +(0.458227 - 0.888835i) q^{3} +(-0.578722 + 0.455112i) q^{4} +(-1.66444 - 0.158934i) q^{5} +(1.63732 + 0.235411i) q^{6} +(1.09045 - 2.41059i) q^{7} +(1.75861 + 1.13019i) q^{8} +(-0.580057 - 0.814576i) q^{9} +O(q^{10})\)	\(q+(0.541022 + 1.56318i) q^{2} +(0.458227 - 0.888835i) q^{3} +(-0.578722 + 0.455112i) q^{4} +(-1.66444 - 0.158934i) q^{5} +(1.63732 + 0.235411i) q^{6} +(1.09045 - 2.41059i) q^{7} +(1.75861 + 1.13019i) q^{8} +(-0.580057 - 0.814576i) q^{9} +(-0.652054 - 2.68780i) q^{10} +(1.58493 + 0.548550i) q^{11} +(0.139334 + 0.722933i) q^{12} +(0.290660 - 0.989898i) q^{13} +(4.35814 + 0.400382i) q^{14} +(-0.903956 + 1.40658i) q^{15} +(-1.16239 + 4.79145i) q^{16} +(7.44182 - 2.97926i) q^{17} +(0.959506 - 1.34744i) q^{18} +(-1.17674 - 0.471095i) q^{19} +(1.03558 - 0.665526i) q^{20} +(-1.64294 - 2.07382i) q^{21} +2.77431i q^{22} +(4.47959 - 1.71269i) q^{23} +(1.81039 - 1.04523i) q^{24} +(-2.16455 - 0.417183i) q^{25} +(1.70464 - 0.0812021i) q^{26} +(-0.989821 + 0.142315i) q^{27} +(0.466022 + 1.89133i) q^{28} +(-1.03896 + 7.22612i) q^{29} +(-2.68780 - 0.652054i) q^{30} +(-0.732534 - 0.0348949i) q^{31} +(-3.95679 + 0.377827i) q^{32} +(1.21383 - 1.15738i) q^{33} +(8.68331 + 10.0211i) q^{34} +(-2.19810 + 3.83896i) q^{35} +(0.706415 + 0.207422i) q^{36} +(2.16985 - 1.54514i) q^{37} +(0.0997651 - 2.09433i) q^{38} +(-0.746668 - 0.711946i) q^{39} +(-2.74747 - 2.16063i) q^{40} +(-2.27573 + 1.03929i) q^{41} +(2.35289 - 3.69020i) q^{42} +(-1.31574 - 2.04733i) q^{43} +(-1.16689 + 0.403863i) q^{44} +(0.836004 + 1.44800i) q^{45} +(5.10080 + 6.07580i) q^{46} +(-2.89094 - 1.66908i) q^{47} +(3.72617 + 3.22874i) q^{48} +(-4.62186 - 5.25723i) q^{49} +(-0.518938 - 3.60929i) q^{50} +(0.761972 - 7.97973i) q^{51} +(0.282303 + 0.705158i) q^{52} +(-7.76255 + 8.14113i) q^{53} +(-0.757979 - 1.47027i) q^{54} +(-2.55083 - 1.16493i) q^{55} +(4.64209 - 3.00687i) q^{56} +(-0.957939 + 0.830059i) q^{57} +(-11.8578 + 2.28541i) q^{58} +(4.72167 - 1.14547i) q^{59} +(-0.117014 - 1.22542i) q^{60} +(-8.22889 + 4.24229i) q^{61} +(-0.341770 - 1.16396i) q^{62} +(-2.59613 + 0.510027i) q^{63} +(1.36503 + 2.98900i) q^{64} +(-0.641114 + 1.60143i) q^{65} +(2.46590 + 1.27126i) q^{66} +(-0.325697 + 1.68987i) q^{67} +(-2.95085 + 5.11102i) q^{68} +(0.530365 - 4.76642i) q^{69} +(-7.19021 - 1.35907i) q^{70} +(-6.99726 + 8.07527i) q^{71} +(-0.0994682 - 2.08809i) q^{72} +(-8.07152 - 10.2638i) q^{73} +(3.58927 + 2.55591i) q^{74} +(-1.36266 + 1.73277i) q^{75} +(0.895406 - 0.262915i) q^{76} +(3.05061 - 3.22245i) q^{77} +(0.708937 - 1.55236i) q^{78} +(2.74844 + 2.88248i) q^{79} +(2.69626 - 7.79032i) q^{80} +(-0.327068 + 0.945001i) q^{81} +(-2.85581 - 2.99509i) q^{82} +(-1.39337 + 3.05106i) q^{83} +(1.89463 + 0.452442i) q^{84} +(-12.8600 + 3.77602i) q^{85} +(2.48851 - 3.16439i) q^{86} +(5.94675 + 4.23466i) q^{87} +(2.16731 + 2.75596i) q^{88} +(0.110733 + 2.32458i) q^{89} +(-1.81119 + 2.09023i) q^{90} +(-2.06929 - 1.78009i) q^{91} +(-1.81297 + 3.02989i) q^{92} +(-0.366683 + 0.635113i) q^{93} +(1.04502 - 5.42207i) q^{94} +(1.88373 + 0.971132i) q^{95} +(-1.47728 + 3.69006i) q^{96} +(1.44869 + 3.17218i) q^{97} +(5.71747 - 10.0691i) q^{98} +(-0.472514 - 1.60924i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9}+O(q^{10}) \) 640 * q - 4 * q^2 + 36 * q^4 + 24 * q^8 - 32 * q^9	\( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43} + 154 q^{44} + 8 q^{46} + 12 q^{47} - 8 q^{49} - 212 q^{50} + 44 q^{51} + 108 q^{52} - 110 q^{56} - 88 q^{57} + 2 q^{58} - 36 q^{59} - 168 q^{64} - 48 q^{70} + 16 q^{71} + 12 q^{72} - 48 q^{73} - 22 q^{74} + 48 q^{75} + 32 q^{78} - 44 q^{79} - 594 q^{80} + 32 q^{81} + 24 q^{82} + 352 q^{85} - 36 q^{87} - 330 q^{88} + 244 q^{92} - 24 q^{93} - 486 q^{94} - 154 q^{95} - 60 q^{96} - 24 q^{98} - 44 q^{99}+O(q^{100}) \) 640 * q - 4 * q^2 + 36 * q^4 + 24 * q^8 - 32 * q^9 + 4 * q^18 - 28 * q^23 + 56 * q^25 - 84 * q^26 - 176 * q^28 - 24 * q^29 + 12 * q^31 + 36 * q^32 - 76 * q^35 + 28 * q^36 + 44 * q^37 - 110 * q^42 - 88 * q^43 + 154 * q^44 + 8 * q^46 + 12 * q^47 - 8 * q^49 - 212 * q^50 + 44 * q^51 + 108 * q^52 - 110 * q^56 - 88 * q^57 + 2 * q^58 - 36 * q^59 - 168 * q^64 - 48 * q^70 + 16 * q^71 + 12 * q^72 - 48 * q^73 - 22 * q^74 + 48 * q^75 + 32 * q^78 - 44 * q^79 - 594 * q^80 + 32 * q^81 + 24 * q^82 + 352 * q^85 - 36 * q^87 - 330 * q^88 + 244 * q^92 - 24 * q^93 - 486 * q^94 - 154 * q^95 - 60 * q^96 - 24 * q^98 - 44 * q^99

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