LMFDB - Embedded newform 483.2.bf.a.10.24

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			10.24
Character	$\chi$	$=$	483.10
Dual form			483.2.bf.a.145.24

$q$ -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} +(-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})$
$\operatorname{Tr}(f)(q)$	$=$	$640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43}+ \cdots - 44 q^{99}+O(q^{100})$ 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

Character values

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

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

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	−0.575261	−	0.817970i	$-0.695099\pi$
$2$	0.541022	−	1.56318i	0.382560	−	1.10534i	0.957821	−	0.287365i	$-0.0927794\pi$
$3$	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	−0.460342	−	0.887742i	$-0.652273\pi$
$5$	−1.66444	+	0.158934i	−0.744359	+	0.0710777i	−0.284017	+	0.958819i	$0.591667\pi$
$6$	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	−0.0775033	−	0.996992i	$-0.524695\pi$
$11$	1.58493	−	0.548550i	0.477875	−	0.165394i	0.555378	+	0.831598i	$0.312574\pi$
$12$	0.139334	−	0.722933i	0.0402222	−	0.208693i
$13$	0.290660	+	0.989898i	0.0806146	+	0.274548i	0.989930	−	0.141560i	$-0.0452119\pi$
$13$	0.290660	+	0.989898i	0.0806146	+	0.274548i	−0.909315	+	0.416108i	$0.863394\pi$
$14$	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	0.989655	+	0.143471i	$0.0458263\pi$
$17$	7.44182	+	2.97926i	1.80491	+	0.722576i	0.815253	+	0.579105i	$0.196598\pi$
$18$	0.959506	+	1.34744i	0.226158	+	0.317594i
$19$	−1.17674	+	0.471095i	−0.269962	+	0.108077i	−0.502694	−	0.864464i	$-0.667658\pi$
$19$	−1.17674	+	0.471095i	−0.269962	+	0.108077i	0.232732	+	0.972541i	$0.425234\pi$
$20$	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	−0.824202	−	0.566296i	$-0.808376\pi$
$29$	−1.03896	−	7.22612i	−0.192930	−	1.34186i	0.631272	−	0.775561i	$-0.282533\pi$
$30$	−2.68780	+	0.652054i	−0.490723	+	0.119048i
$31$	−0.732534	+	0.0348949i	−0.131567	+	0.00626731i	−0.113262	−	0.993565i	$-0.536130\pi$
$31$	−0.732534	+	0.0348949i	−0.131567	+	0.00626731i	−0.0183049	+	0.999832i	$0.505827\pi$
$32$	−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	0.744342	−	0.667799i	$-0.232763\pi$
$37$	2.16985	+	1.54514i	0.356721	+	0.254020i	−0.387620	+	0.921819i	$0.626703\pi$
$38$	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	0.229706	−	0.973260i	$-0.426223\pi$
$41$	−2.27573	−	1.03929i	−0.355409	−	0.162310i	−0.585115	+	0.810950i	$0.698951\pi$
$42$	2.35289	+	3.69020i	0.363058	+	0.569410i
$43$	−1.31574	+	2.04733i	−0.200649	+	0.312215i	−0.926967	−	0.375143i	$-0.877594\pi$
$43$	−1.31574	+	2.04733i	−0.200649	+	0.312215i	0.726318	+	0.687359i	$0.241230\pi$
$44$	−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	−0.695799	−	0.718237i	$-0.744949\pi$
$47$	−2.89094	+	1.66908i	−0.421687	+	0.243461i	0.274112	+	0.961698i	$0.411616\pi$
$48$	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	−0.992655	−	0.120983i	$-0.961395\pi$
$53$	−7.76255	−	8.14113i	−1.06627	−	1.11827i	−0.0736139	−	0.997287i	$-0.523453\pi$
$54$	−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	0.531012	−	0.847364i	$-0.321812\pi$
$59$	4.72167	+	1.14547i	0.614710	+	0.149127i	0.0836976	+	0.996491i	$0.473327\pi$
$60$	−0.117014	+	1.22542i	−0.0151064	+	0.158201i
$61$	−8.22889	−	4.24229i	−1.05360	−	0.543169i	−0.157730	−	0.987482i	$-0.550417\pi$
$61$	−8.22889	−	4.24229i	−1.05360	−	0.543169i	−0.895872	+	0.444313i	$0.853448\pi$
$62$	−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	0.956593	−	0.291428i	$-0.0941304\pi$
$67$	−0.325697	−	1.68987i	−0.0397902	−	0.206451i	−0.996383	+	0.0849771i	$0.972918\pi$
$68$	−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	0.169207	−	0.985580i	$-0.445879\pi$
$71$	−6.99726	−	8.07527i	−0.830422	−	0.958358i	−0.999629	+	0.0272225i	$0.991334\pi$
$72$	−0.0994682	+	2.08809i	−0.0117224	+	0.246084i
$73$	−8.07152	+	10.2638i	−0.944700	+	1.20128i	0.0347087	+	0.999397i	$0.488950\pi$
$73$	−8.07152	+	10.2638i	−0.944700	+	1.20128i	−0.979409	+	0.201887i	$0.935293\pi$
$74$	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	−0.550723	−	0.834688i	$-0.685648\pi$
$79$	2.74844	−	2.88248i	0.309224	−	0.324305i	0.859947	+	0.510383i	$0.170496\pi$
$80$	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	0.817615	−	0.575765i	$-0.195296\pi$
$83$	−1.39337	−	3.05106i	−0.152943	−	0.334898i	−0.970558	+	0.240867i	$0.922568\pi$
$84$	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	−0.985371	−	0.170421i	$-0.945487\pi$
$89$	0.110733	−	2.32458i	0.0117377	−	0.246405i	0.997109	−	0.0759839i	$-0.0242097\pi$
$90$	−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	−0.821717	−	0.569896i	$-0.806983\pi$
$97$	1.44869	−	3.17218i	0.147092	−	0.322086i	0.968809	+	0.247810i	$0.0797108\pi$
$98$	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	0.892760	+	0.450532i	$0.148766\pi$
$101$	−0.694753	+	7.27578i	−0.0691305	+	0.723967i	−0.961891	+	0.273435i	$0.911840\pi$
$102$	12.8860	+	3.12611i	1.27590	+	0.309531i
$103$	12.2932	+	2.36931i	1.21128	+	0.233455i	0.754606	−	0.656178i	$-0.227828\pi$
$103$	12.2932	+	2.36931i	1.21128	+	0.233455i	0.456676	+	0.889633i	$0.349040\pi$
$104$	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	0.196261	−	0.980552i	$-0.437120\pi$
$107$	9.11471	−	17.6801i	0.881152	−	1.70920i	0.684891	−	0.728646i	$-0.259850\pi$
$108$	0.508062	+	0.532840i	0.0488883	+	0.0512726i
$109$	1.89387	−	4.73065i	0.181400	−	0.453114i	−0.809600	−	0.586983i	$-0.800316\pi$
$109$	1.89387	−	4.73065i	0.181400	−	0.453114i	0.990999	+	0.133868i	$0.0427399\pi$
$110$	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	−0.988360	−	0.152131i	$-0.951387\pi$
$113$	−10.4009	+	9.01245i	−0.978437	+	0.847820i	0.00992388	+	0.999951i	$0.496841\pi$
$114$	−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	−0.519602	−	0.854409i	$-0.673920\pi$
$127$	4.50842	−	5.20299i	0.400058	−	0.461691i	0.919659	+	0.392718i	$0.128465\pi$
$128$	−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	−0.894865	−	0.446336i	$-0.852729\pi$
$131$	−17.0050	+	4.12536i	−1.48573	+	0.360434i	−0.590865	+	0.806770i	$0.701213\pi$
$132$	−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	0.978682	−	0.205382i	$-0.0658437\pi$
$137$	15.1009	+	8.71851i	1.29016	+	0.744872i	0.311475	+	0.950254i	$0.399177\pi$
$138$	7.73771	+	1.74968i	0.658677	+	0.148943i
$139$		−	9.31466i		−	0.790060i	−0.918668	−	0.395030i	$-0.870734\pi$
$139$		−	9.31466i		−	0.790060i	0.918668	−	0.395030i	$-0.129266\pi$
$140$	−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	−0.974968	−	0.222344i	$-0.928629\pi$
$149$	0.156216	−	0.810527i	0.0127977	−	0.0664010i	0.987766	+	0.155943i	$0.0498415\pi$
$150$	−3.44586	+	1.19262i	−0.281353	+	0.0973773i
$151$	−2.08837	+	8.60839i	−0.169949	+	0.700541i	0.821518	+	0.570183i	$0.193128\pi$
$151$	−2.08837	+	8.60839i	−0.169949	+	0.700541i	−0.991467	+	0.130358i	$0.958387\pi$
$152$	−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	0.267732	−	0.963494i	$-0.413726\pi$
$157$	−7.58667	−	5.96623i	−0.605482	−	0.476157i	−0.873214	+	0.487337i	$0.837968\pi$
$158$	−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	0.513260	+	0.858233i	$0.328438\pi$
$163$	−5.37132	+	15.5194i	−0.420714	+	1.21557i	−0.933974	+	0.357341i	$0.883684\pi$
$164$	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	−0.599575	−	0.800318i	$-0.704664\pi$
$167$	−12.2688	+	1.76399i	−0.949388	+	0.136501i	−0.349813	+	0.936820i	$0.613755\pi$
$168$	−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	−0.887086	−	0.461604i	$-0.847274\pi$
$173$	1.42074	−	7.37152i	0.108017	−	0.560446i	0.995103	−	0.0988420i	$-0.0315138\pi$
$174$	−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	0.785347	−	0.619055i	$-0.212484\pi$
$179$	−0.756218	−	1.06196i	−0.0565224	−	0.0793746i	−0.841870	+	0.539681i	$0.818545\pi$
$180$	−1.14282	+	0.457515i	−0.0851805	+	0.0341011i
$181$	19.1508	+	12.3075i	1.42347	+	0.914809i	0.999960	+	0.00891722i	$0.00283848\pi$
$181$	19.1508	+	12.3075i	1.42347	+	0.914809i	0.423510	+	0.905891i	$0.360798\pi$
$182$	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	−0.430587	−	0.902549i	$-0.641693\pi$
$191$	−5.52447	+	1.34022i	−0.399736	+	0.0969750i	0.0308508	+	0.999524i	$0.490178\pi$
$192$	3.28222	−	0.156351i	0.236874	−	0.0112837i
$193$	−15.2544	−	1.45662i	−1.09803	−	0.104850i	−0.469725	−	0.882813i	$-0.655647\pi$
$193$	−15.2544	−	1.45662i	−1.09803	−	0.104850i	−0.628310	+	0.777963i	$0.716253\pi$
$194$	−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	0.436823	−	0.899547i	$-0.356104\pi$
$197$	18.1149	−	5.31902i	1.29063	−	0.378964i	0.853811	+	0.520583i	$0.174285\pi$
$198$	2.25989	+	1.60926i	0.160603	+	0.114365i
$199$	−0.839882	−	17.6313i	−0.0595376	−	1.24985i	−0.809003	−	0.587805i	$-0.799992\pi$
$199$	−0.839882	−	17.6313i	−0.0595376	−	1.24985i	0.749465	−	0.662044i	$-0.230311\pi$
$200$	−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	−0.992004	−	0.126209i	$-0.959719\pi$
$211$	−0.0671972	+	0.467367i	−0.00462605	+	0.0321749i	0.987378	+	0.158383i	$0.0506282\pi$
$212$	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	−0.273301	−	0.961929i	$-0.588115\pi$
$223$	7.11824	−	24.2425i	0.476672	−	1.62340i	0.749973	−	0.661469i	$-0.230066\pi$
$224$	−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	−0.143917	−	0.989590i	$-0.545970\pi$
$227$	8.71898	−	4.49495i	0.578699	−	0.298340i	0.722616	+	0.691250i	$0.242940\pi$
$228$	0.176611	+	0.916343i	0.0116963	+	0.0606863i
$229$	5.52994	+	9.57814i	0.365429	+	0.632941i	0.988845	−	0.148949i	$-0.0475890\pi$
$229$	5.52994	+	9.57814i	0.365429	+	0.632941i	−0.623416	+	0.781890i	$0.714256\pi$
$230$	−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	−0.843136	−	0.537700i	$-0.819293\pi$
$233$	0.721910	−	15.1547i	0.0472939	−	0.992821i	0.890430	−	0.455120i	$-0.150404\pi$
$234$	−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	0.790117	−	0.612956i	$-0.210020\pi$
$239$	−2.94569	−	6.45016i	−0.190541	−	0.417226i	−0.980658	+	0.195730i	$0.937292\pi$
$240$	−5.68882	+	5.96626i	−0.367212	+	0.385120i
$241$	1.76037	+	5.08627i	0.113396	+	0.327635i	0.987391	−	0.158298i	$-0.0506008\pi$
$241$	1.76037	+	5.08627i	0.113396	+	0.327635i	−0.873996	+	0.485934i	$0.838480\pi$
$242$	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	0.395621	−	0.918414i	$-0.370529\pi$
$251$	−9.02650	−	10.4171i	−0.569748	−	0.657524i	−0.965369	+	0.260890i	$0.915984\pi$
$252$	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	−0.979433	−	0.201767i	$-0.935331\pi$
$257$	−6.56991	−	16.4108i	−0.409820	−	1.02368i	0.569614	−	0.821912i	$-0.307093\pi$
$258$	−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	−0.716920	−	0.697156i	$-0.754449\pi$
$263$	−27.1412	−	6.58439i	−1.67360	−	0.406011i	−0.956679	+	0.291145i	$0.905964\pi$
$264$	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	0.422350	−	0.906433i	$-0.361205\pi$
$269$	−8.25231	−	8.65478i	−0.503152	−	0.527691i	−0.925502	+	0.378742i	$0.876357\pi$
$270$	1.02793	−	2.56765i	0.0625579	−	0.156262i
$271$	−2.02665	−	21.2240i	−0.123110	−	1.28927i	−0.820114	−	0.572200i	$-0.806090\pi$
$271$	−2.02665	−	21.2240i	−0.123110	−	1.28927i	0.697004	−	0.717067i	$-0.254516\pi$
$272$	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	−0.895272	−	0.445521i	$-0.853019\pi$
$277$	−1.02861	+	1.78161i	−0.0618035	+	0.107047i	0.833468	+	0.552568i	$0.186352\pi$
$278$	−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	0.973077	+	0.230481i	$0.0740298\pi$
$281$	29.9135	+	13.6611i	1.78449	+	0.814950i	0.811415	+	0.584470i	$0.198697\pi$
$282$	−4.34047	+	3.41338i	−0.258471	+	0.203264i
$283$	−20.3366	+	19.3909i	−1.20888	+	1.15267i	−0.224905	+	0.974381i	$0.572207\pi$
$283$	−20.3366	+	19.3909i	−1.20888	+	1.15267i	−0.983978	+	0.178287i	$0.942944\pi$
$284$	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	−0.942607	−	0.333905i	$-0.891634\pi$
$293$	−2.26382	−	15.7452i	−0.132254	−	0.919847i	0.810353	−	0.585942i	$-0.199275\pi$
$294$	−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	0.890751	−	0.454491i	$-0.150179\pi$
$307$	1.88005	+	2.92541i	0.107300	+	0.166962i	−0.783451	+	0.621453i	$0.786543\pi$
$308$	−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	−0.846277	−	0.532743i	$-0.821161\pi$
$311$	−20.8479	+	7.21552i	−1.18218	+	0.409155i	−0.335898	+	0.941898i	$0.609040\pi$
$312$	−0.508462	+	2.09591i	−0.0287860	+	0.118658i
$313$	−8.98388	+	12.6161i	−0.507799	+	0.713104i	−0.986296	−	0.164986i	$-0.947242\pi$
$313$	−8.98388	+	12.6161i	−0.507799	+	0.713104i	0.478497	+	0.878089i	$0.341182\pi$
$314$	−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	0.301974	−	0.953316i	$-0.402354\pi$
$317$	13.8681	−	1.32424i	0.778908	−	0.0743767i	0.476934	+	0.878939i	$0.341748\pi$
$318$	−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	−0.548558	−	0.836113i	$-0.684823\pi$
$331$	7.65915	−	10.7558i	0.420985	−	0.591191i	0.969543	+	0.244922i	$0.0787623\pi$
$332$	−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	0.980127	−	0.198370i	$-0.0635649\pi$
$337$	7.20577	+	11.2124i	0.392523	+	0.610778i	−0.587604	+	0.809149i	$0.699929\pi$
$338$	−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	−0.694298	−	0.719688i	$-0.744285\pi$
$347$	−19.9576	+	3.84652i	−1.07138	+	0.206492i	−0.377083	+	0.926179i	$0.623073\pi$
$348$	−5.36876	−	0.255746i	−0.287796	−	0.0137094i
$349$	−2.64543	−	0.380356i	−0.141607	−	0.0203600i	0.0711469	−	0.997466i	$-0.477334\pi$
$349$	−2.64543	−	0.380356i	−0.141607	−	0.0203600i	−0.212754	+	0.977106i	$0.568243\pi$
$350$	−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	0.238008	−	0.971263i	$-0.423506\pi$
$353$	10.6579	−	0.507698i	0.567263	−	0.0270221i	0.329255	+	0.944241i	$0.393203\pi$
$354$	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	0.988528	−	0.151037i	$-0.0482611\pi$
$359$	22.1516	+	15.7741i	1.16911	+	0.832523i	0.180586	+	0.983559i	$0.442201\pi$
$360$	−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	−0.979554	−	0.201182i	$-0.935522\pi$
$367$	−6.04504	+	10.4703i	−0.315548	+	0.546546i	0.664005	+	0.747728i	$0.268855\pi$
$368$	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	0.949314	+	0.314330i	$0.101780\pi$
$373$	1.48021	+	15.5015i	0.0766426	+	0.802638i	−0.872671	+	0.488308i	$0.837614\pi$
$374$	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	0.824937	−	0.565224i	$-0.191210\pi$
$379$	7.45363	+	6.45861i	0.382867	+	0.331756i	−0.442070	+	0.896980i	$0.645756\pi$
$380$	−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	0.812345	−	0.583178i	$-0.198191\pi$
$383$	15.8228	+	8.15723i	0.808508	+	0.416815i	−0.00383652	+	0.999993i	$0.501221\pi$
$384$	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	0.915761	+	0.401723i	$0.131588\pi$
$389$	4.23855	+	21.9917i	0.214903	+	1.11502i	−0.700858	+	0.713301i	$0.747199\pi$
$390$	−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	0.988366	−	0.152097i	$-0.0486026\pi$
$397$	12.1051	+	15.3929i	0.607540	+	0.772550i	−0.380826	+	0.924647i	$0.624360\pi$
$398$	−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	−0.984024	−	0.178036i	$-0.943026\pi$
$401$	−15.2063	+	15.9480i	−0.759368	+	0.796403i	0.224656	+	0.974438i	$0.427874\pi$
$402$	−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	−0.679683	−	0.733506i	$-0.737883\pi$
$409$	−4.22315	+	3.00729i	−0.208821	+	0.148701i	0.470862	+	0.882207i	$0.343943\pi$
$410$	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	0.312979	+	0.949760i	$0.398673\pi$
$419$	−12.4815	+	27.3306i	−0.609759	+	1.33519i	−0.922739	+	0.385426i	$0.874054\pi$
$420$	−3.08158	+	1.05418i	−0.150366	+	0.0514389i
$421$	−7.54695	+	25.7025i	−0.367816	+	1.25267i	0.542958	+	0.839760i	$0.317304\pi$
$421$	−7.54695	+	25.7025i	−0.367816	+	1.25267i	−0.910774	+	0.412905i	$0.864514\pi$
$422$	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	−0.934088	−	0.357043i	$-0.883785\pi$
$431$	−0.242257	+	0.605130i	−0.0116691	+	0.0291481i	0.922419	+	0.386191i	$0.126209\pi$
$432$	0.468667	+	4.90810i	0.0225488	+	0.236141i
$433$	−2.02608	+	14.0917i	−0.0973673	+	0.677204i	0.881421	+	0.472331i	$0.156587\pi$
$433$	−2.02608	+	14.0917i	−0.0973673	+	0.677204i	−0.978789	+	0.204873i	$0.934322\pi$
$434$	−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	0.991420	−	0.130715i	$-0.0417273\pi$
$439$	35.4079	+	12.2548i	1.68993	+	0.584889i	0.698506	+	0.715604i	$0.253848\pi$
$440$	−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	0.0270765	−	0.999633i	$-0.491380\pi$
$443$	21.1510	−	16.6333i	1.00492	−	0.790274i	0.977839	+	0.209359i	$0.0671378\pi$
$444$	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	−0.975890	−	0.218261i	$-0.929961\pi$
$449$	−13.1581	+	15.1852i	−0.620967	+	0.716634i	0.354923	+	0.934895i	$0.384507\pi$
$450$	−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	−0.0901853	−	0.995925i	$-0.528746\pi$
$457$	−5.87094	−	0.279667i	−0.274631	−	0.0130823i	−0.184446	+	0.982843i	$0.559049\pi$
$458$	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	$-0.956474\pi$
$461$		−	5.85368i		−	0.272633i	0.990665	−	0.136317i	$-0.0435264\pi$
$462$	5.75342	+	4.55804i	0.267673	+	0.212059i
$463$	18.3327	+	11.7817i	0.851994	+	0.547543i	0.892196	−	0.451648i	$-0.149164\pi$
$463$	18.3327	+	11.7817i	0.851994	+	0.547543i	−0.0402023	+	0.999192i	$0.512800\pi$
$464$	−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	0.819133	+	0.573604i	$0.194455\pi$
$467$	7.64783	+	31.5248i	0.353899	+	1.45879i	−0.465233	+	0.885188i	$0.654030\pi$
$468$	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	0.304665	−	0.952460i	$-0.401455\pi$
$479$	−12.0180	−	9.45109i	−0.549118	−	0.431831i	−0.853784	+	0.520628i	$0.825698\pi$
$480$	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	0.0404172	−	0.999183i	$-0.487131\pi$
$487$	−20.3263	−	15.9848i	−0.921072	−	0.724339i	−0.961489	+	0.274844i	$0.911374\pi$
$488$	−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	0.678807	−	0.734317i	$-0.262497\pi$
$491$	36.0907	−	23.1941i	1.62875	−	1.04674i	0.949945	−	0.312418i	$-0.101139\pi$
$492$	−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	−0.946770	−	0.321911i	$-0.895675\pi$
$499$	−5.64613	−	23.2736i	−0.252755	−	1.04187i	0.694015	−	0.719961i	$-0.255840\pi$
$500$	−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	−0.0823921	−	0.996600i	$-0.526256\pi$
$503$	−22.9470	−	14.7472i	−1.02316	−	0.657544i	−0.940766	+	0.339056i	$0.889892\pi$
$504$	−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	−0.912381	−	0.409343i	$-0.865758\pi$
$509$	−41.9531	−	1.99847i	−1.85954	−	0.0885808i	−0.947160	+	0.320762i	$0.896061\pi$
$510$	−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	−0.983794	−	0.179304i	$-0.942615\pi$
$521$	−0.490716	−	10.3014i	−0.0214986	−	0.451312i	0.962295	−	0.272008i	$-0.0876877\pi$
$522$	8.73986	−	8.33344i	0.382533	−	0.364745i
$523$	21.6035	−	16.9892i	0.944656	−	0.742885i	−0.0217885	−	0.999763i	$-0.506936\pi$
$523$	21.6035	−	16.9892i	0.944656	−	0.742885i	0.966444	+	0.256877i	$0.0826936\pi$
$524$	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	0.786644	−	0.617407i	$-0.211817\pi$
$541$	29.9458	+	5.77159i	1.28747	+	0.248140i	0.500828	+	0.865547i	$0.333029\pi$
$542$	−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	−0.965865	−	0.259045i	$-0.916592\pi$
$547$	−3.21785	+	7.04610i	−0.137585	+	0.301270i	0.828280	+	0.560314i	$0.189320\pi$
$548$	−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	−0.887413	−	0.460975i	$-0.847500\pi$
$557$	−17.5127	+	12.4707i	−0.742036	+	0.528401i	0.145377	+	0.989376i	$0.453560\pi$
$558$	−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	0.967336	+	0.253498i	$0.0815811\pi$
$563$	8.62880	+	24.9313i	0.363661	+	1.05073i	−0.603675	+	0.797230i	$0.706298\pi$
$564$	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	0.757615	−	0.652702i	$-0.226365\pi$
$569$	−1.31918	−	1.67748i	−0.0553030	−	0.0703235i	−0.812918	+	0.582378i	$0.802122\pi$
$570$	2.85566	−	2.03351i	0.119611	−	0.0851743i
$571$	4.66326	−	5.92982i	0.195151	−	0.248155i	−0.678623	−	0.734487i	$-0.737423\pi$
$571$	4.66326	−	5.92982i	0.195151	−	0.248155i	0.873774	+	0.486332i	$0.161665\pi$
$572$	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	0.862591	+	0.505902i	$0.168840\pi$
$577$	6.00074	+	31.1348i	0.249814	+	1.29616i	−0.612777	+	0.790256i	$0.709947\pi$
$578$	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	0.378773	−	0.925489i	$-0.376346\pi$
$587$	−11.7116	−	10.1482i	−0.483391	−	0.418860i	−0.862164	+	0.506629i	$0.830891\pi$
$588$	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	−0.997876	−	0.0651439i	$-0.979249\pi$
$593$	−0.739350	−	7.74283i	−0.0303615	−	0.317960i	0.967514	−	0.252816i	$-0.0813567\pi$
$594$	−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	−0.970046	−	0.242922i	$-0.921894\pi$
$599$	−6.72183	+	11.6426i	−0.274647	+	0.475702i	0.695399	+	0.718623i	$0.255227\pi$
$600$	−4.35475	−	1.50719i	−0.177782	−	0.0615309i
$601$	−23.6182	+	36.7507i	−0.963408	+	1.49909i	−0.0997516	+	0.995012i	$0.531805\pi$
$601$	−23.6182	+	36.7507i	−0.963408	+	1.49909i	−0.863657	+	0.504080i	$0.831832\pi$
$602$	−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	0.667553	−	0.744562i	$-0.267342\pi$
$607$	4.49082	+	3.19790i	0.182277	+	0.129799i	−0.485276	+	0.874361i	$0.661281\pi$
$608$	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	0.583051	−	0.812435i	$-0.301859\pi$
$613$	30.7180	−	1.46328i	1.24069	−	0.0591013i	0.657638	+	0.753334i	$0.271556\pi$
$614$	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	0.655033	−	0.755600i	$-0.272655\pi$
$617$	26.5946	+	3.82372i	1.07066	+	0.153937i	0.415623	+	0.909537i	$0.363564\pi$
$618$	20.6856	+	0.985378i	0.832098	+	0.0396377i
$619$	10.7496	−	2.07182i	0.432063	−	0.0832734i	0.0314174	−	0.999506i	$-0.489998\pi$
$619$	10.7496	−	2.07182i	0.432063	−	0.0832734i	0.400646	+	0.916233i	$0.368786\pi$
$620$	−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	−0.994764	−	0.102201i	$-0.967411\pi$
$631$	−5.35476	−	18.2366i	−0.213170	−	0.725989i	0.781594	−	0.623787i	$-0.214407\pi$
$632$	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	0.980475	+	0.196645i	$0.0630046\pi$
$641$	14.4800	+	28.0873i	0.571926	+	1.10938i	−0.408549	+	0.912736i	$0.633965\pi$
$642$	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	−0.976183	−	0.216951i	$-0.930389\pi$
$647$	−14.9225	−	28.9456i	−0.586664	−	1.13797i	0.389518	−	0.921019i	$-0.372641\pi$
$648$	−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	−0.962967	−	0.269619i	$-0.913102\pi$
$653$	−10.0483	+	14.1109i	−0.393221	+	0.552202i	0.569746	+	0.821821i	$0.307042\pi$
$654$	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	0.988091	+	0.153870i	$0.0491736\pi$
$659$	18.4212	+	28.6639i	0.717588	+	1.11659i	−0.270503	+	0.962719i	$0.587190\pi$
$660$	0.486746	+	2.00640i	0.0189466	+	0.0780988i
$661$	−19.9080	−	7.96994i	−0.774330	−	0.309995i	−0.0493649	−	0.998781i	$-0.515720\pi$
$661$	−19.9080	−	7.96994i	−0.774330	−	0.309995i	−0.724965	+	0.688786i	$0.758144\pi$
$662$	−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	0.975514	+	0.219938i	$0.0705854\pi$
$673$	2.63259	+	18.3100i	0.101479	+	0.705800i	−0.874035	+	0.485863i	$0.838506\pi$
$674$	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	0.586736	−	0.809778i	$-0.300412\pi$
$677$	−5.05310	−	4.81812i	−0.194206	−	0.185175i	−0.780943	+	0.624603i	$0.785261\pi$
$678$	−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	−0.227509	−	0.973776i	$-0.573058\pi$
$683$	19.1914	−	18.2990i	0.734339	−	0.700191i	0.961848	+	0.273585i	$0.0882096\pi$
$684$	−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	−0.891170	−	0.453670i	$-0.850114\pi$
$691$	−24.8113	+	14.3248i	−0.943865	+	0.544941i	−0.0526950	+	0.998611i	$0.516781\pi$
$692$	−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	0.474297	−	0.880365i	$-0.342702\pi$
$701$	−8.72681	−	7.56183i	−0.329607	−	0.285606i	−0.803904	+	0.594759i	$0.797248\pi$
$702$	−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	0.799265	−	0.600979i	$-0.205222\pi$
$709$	−5.16334	−	12.8974i	−0.193913	−	0.484372i	−0.993178	+	0.116607i	$0.962798\pi$
$710$	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	0.997716	+	0.0675448i	$0.0215166\pi$
$719$	22.2058	+	28.2370i	0.828137	+	1.05306i	−0.169580	+	0.985516i	$0.554241\pi$
$720$	−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	−0.890119	−	0.455728i	$-0.849379\pi$
$727$	−17.5699	−	38.4727i	−0.651632	−	1.42687i	0.238487	−	0.971146i	$-0.423348\pi$
$728$	−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	0.951282	+	0.308323i	$0.0997679\pi$
$733$	−0.676863	+	14.2091i	−0.0250005	+	0.524826i	−0.976282	+	0.216502i	$0.930535\pi$
$734$	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	−0.597502	−	0.801867i	$-0.703840\pi$
$739$	−7.90814	+	4.07693i	−0.290906	+	0.149972i	0.306596	+	0.951840i	$0.400810\pi$
$740$	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	−0.773951	−	0.633245i	$-0.781722\pi$
$743$	5.98303	−	20.3763i	0.219496	−	0.747535i	0.993447	−	0.114290i	$-0.0364594\pi$
$744$	−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	−0.990663	−	0.136334i	$-0.956468\pi$
$751$	−8.35745	+	16.2112i	−0.304968	+	0.591555i	0.685695	+	0.727889i	$0.259498\pi$
$752$	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	−0.525828	−	0.850591i	$-0.676245\pi$
$757$	6.63826	−	5.75208i	0.241272	−	0.209063i	0.767100	+	0.641528i	$0.221699\pi$
$758$	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	0.495565	−	0.868571i	$-0.334961\pi$
$761$	9.60526	+	3.32441i	0.348191	+	0.120510i	−0.147374	+	0.989081i	$0.547082\pi$
$762$	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
$769$	30.7159	−	9.01901i	1.10765	−	0.325234i	0.323760	−	0.946139i	$-0.395053\pi$
$769$	30.7159	−	9.01901i	1.10765	−	0.325234i	0.783885	+	0.620905i	$0.213235\pi$
$770$	−10.6505	+	6.09822i	−0.383816	+	0.219765i
$771$	11.5760	−	13.3594i	0.416900	−	0.481129i
$772$	8.16512	+	7.78543i	0.293869	+	0.280204i
$773$	−12.3071	−	1.17519i	−0.442656	−	0.0422685i	−0.128651	−	0.991690i	$-0.541065\pi$
$773$	−12.3071	−	1.17519i	−0.442656	−	0.0422685i	−0.314005	+	0.949421i	$0.601671\pi$
$774$	−4.02111	+	0.191549i	−0.144536	+	0.00688509i
$775$	1.57105	−	0.381133i	0.0564339	−	0.0136907i
$776$	−1.03749	−	7.21592i	−0.0372438	−	0.259036i
$777$	−6.76929	+	1.96130i	−0.242847	+	0.0703611i
$778$	36.6701	+	5.27237i	1.31469	+	0.189024i
$779$	3.16754	+	0.150888i	0.113489	+	0.00540614i
$780$	−1.24705	+	0.240350i	−0.0446517	+	0.00860590i
$781$	−15.5199	−	8.96039i	−0.555344	−	0.320628i
$782$	56.0606	−	30.0184i	2.00472	−	1.07346i
$783$			7.30043i			0.260896i
$784$	30.5621	+	16.0344i	1.09151	+	0.572658i
$785$	13.5758	+	8.72462i	0.484540	+	0.311395i
$786$	−26.8714	+	10.7577i	−0.958472	+	0.383714i
$787$	−7.60645	−	10.6818i	−0.271141	−	0.380764i	0.656445	−	0.754374i	$-0.272059\pi$
$787$	−7.60645	−	10.6818i	−0.271141	−	0.380764i	−0.927586	+	0.373610i	$0.878120\pi$
$788$	−12.9042	−	5.16608i	−0.459695	−	0.184034i
$789$	−6.58439	−	27.1412i	−0.234410	−	0.966253i
$790$	5.95542	+	9.26681i	0.211884	+	0.329698i
$791$	−33.0669	−	15.2447i	−1.17572	−	0.542041i
$792$	0.987774	+	3.36405i	0.0350990	+	0.119536i
$793$	1.80762	−	9.37882i	0.0641905	−	0.333052i
$794$	30.6111	−	10.5946i	1.08635	−	0.375989i
$795$	−4.43417	+	18.2779i	−0.157264	+	0.648250i
$796$	−7.53815	+	10.5859i	−0.267183	+	0.375206i
$797$	−16.1031	+	10.3488i	−0.570401	+	0.366575i	−0.793824	−	0.608147i	$-0.791913\pi$
$797$	−16.1031	+	10.3488i	−0.570401	+	0.366575i	0.223423	+	0.974722i	$0.428277\pi$
$798$	−4.50717	−	3.23397i	−0.159552	−	0.114481i
$799$	−26.4865	+	3.80818i	−0.937024	+	0.134724i
$800$	8.72230	−	0.832878i	0.308380	−	0.0294467i
$801$	1.82931	+	1.43859i	0.0646357	+	0.0508300i
$802$	16.7026	+	32.3984i	0.589788	+	1.14403i
$803$	−7.16261	+	20.6950i	−0.252763	+	0.730311i
$804$	−1.26705			−0.0446853
$805$	−3.27164	−	20.9616i	−0.115310	−	0.738800i
$806$	−1.25154			−0.0440837
$807$	3.91124	−	11.3008i	0.137682	−	0.397807i
$808$	7.00121	+	13.5805i	0.246302	+	0.477759i
$809$	24.0547	+	18.9169i	0.845720	+	0.665081i	0.943952	−	0.330082i	$-0.107076\pi$
$809$	24.0547	+	18.9169i	0.845720	+	0.665081i	−0.0982325	+	0.995163i	$0.531319\pi$
$810$	2.75324	−	0.262903i	0.0967390	−	0.00923746i
$811$	−16.6921	+	2.39996i	−0.586138	+	0.0842739i	−0.429003	−	0.903303i	$-0.641135\pi$
$811$	−16.6921	+	2.39996i	−0.586138	+	0.0842739i	−0.157135	+	0.987577i	$0.550226\pi$
$812$	−14.1512	−	1.40251i	−0.496609	−	0.0492186i
$813$	17.9360	−	11.5268i	0.629043	−	0.404261i
$814$	4.28671	−	6.01984i	0.150249	−	0.210995i
$815$	6.47365	−	26.6848i	0.226762	−	0.934726i
$816$	37.3488	−	12.9265i	1.30747	−	0.452519i
$817$	0.583795	−	3.02901i	0.0204244	−	0.105972i
$818$	2.41612	+	8.22855i	0.0844777	+	0.287705i
$819$	−0.249716	−	2.71814i	−0.00872578	−	0.0949796i
$820$	−1.66502	−	2.59082i	−0.0581450	−	0.0904754i
$821$	1.51814	+	6.25784i	0.0529833	+	0.218400i	0.992148	−	0.125066i	$-0.0399142\pi$
$821$	1.51814	+	6.25784i	0.0529833	+	0.218400i	−0.939165	+	0.343466i	$0.888399\pi$
$822$	26.7774	+	10.7201i	0.933971	+	0.373905i
$823$	−19.3973	−	27.2396i	−0.676146	−	0.949514i	−0.999994	−	0.00340501i	$-0.998916\pi$
$823$	−19.3973	−	27.2396i	−0.676146	−	0.949514i	0.323848	−	0.946109i	$-0.395023\pi$
$824$	24.2966	−	9.72691i	0.846414	−	0.338853i
$825$	−3.11024	−	1.99883i	−0.108285	−	0.0695902i
$826$	21.0363	+	3.10162i	0.731947	+	0.107919i
$827$		−	26.9495i		−	0.937126i	−0.883430	−	0.468563i	$-0.844772\pi$
$827$		−	26.9495i		−	0.937126i	0.883430	−	0.468563i	$-0.155228\pi$
$828$	3.51970	+	0.280705i	0.122318	+	0.00975518i
$829$	−12.2967	−	7.09953i	−0.427083	−	0.246577i	0.271020	−	0.962574i	$-0.412639\pi$
$829$	−12.2967	−	7.09953i	−0.427083	−	0.246577i	−0.698103	+	0.715997i	$0.745972\pi$
$830$	9.10921	−	1.75566i	0.316185	−	0.0609397i
$831$	−2.05490	−	0.0978869i	−0.0712837	−	0.00339566i
$832$	3.35556	+	0.482457i	0.116333	+	0.0167262i
$833$	−50.0577	+	25.3536i	−1.73440	+	0.878452i
$834$	−2.19278	−	15.2511i	−0.0759296	−	0.528102i
$835$	20.1403	−	4.88598i	0.696983	−	0.169086i
$836$	1.56338	−	0.0744729i	0.0540705	−	0.00257570i
$837$	0.730044	+	0.0697108i	0.0252340	+	0.00240956i
$838$	35.9699	+	34.2972i	1.24256	+	1.18478i
$839$	8.09834	−	9.34598i	0.279586	−	0.322659i	−0.598536	−	0.801096i	$-0.704251\pi$
$839$	8.09834	−	9.34598i	0.279586	−	0.322659i	0.878122	+	0.478436i	$0.158796\pi$
$840$	0.0331706	−	9.24755i	0.00114449	−	0.319071i
$841$	−23.3121	+	6.84504i	−0.803865	+	0.236036i
$842$	36.0946	+	25.7029i	1.24390	+	0.885780i
$843$	1.56475	+	32.8481i	0.0538927	+	1.13135i
$844$	0.251593	−	0.239893i	0.00866018	−	0.00825747i
$845$	−15.6868	+	12.3363i	−0.539643	+	0.424380i
$846$	−5.02286	−	2.29386i	−0.172689	−	0.0788646i
$847$	−19.2173	−	9.99464i	−0.660316	−	0.343420i
$848$	−29.9847	+	46.6571i	−1.02968	+	1.60221i
$849$	−26.5541	−	9.19045i	−0.911333	−	0.315415i
$850$	−14.6149	+	25.3137i	−0.501285	+	0.868252i
$851$	7.07368	+	10.6379i	0.242483	+	0.364662i
$852$	−6.81283	+	3.93339i	−0.233404	+	0.134756i
$853$	−23.2342	+	20.1326i	−0.795524	+	0.689326i	−0.954584	−	0.297943i	$-0.903699\pi$
$853$	−23.2342	+	20.1326i	−0.795524	+	0.689326i	0.159059	+	0.987269i	$0.449154\pi$
$854$	−37.5612	−	15.1938i	−1.28532	−	0.519920i
$855$	−0.301612	+	2.09776i	−0.0103149	+	0.0717418i
$856$	−3.95262	−	41.3937i	−0.135098	−	1.41481i
$857$	−6.76583	+	16.9002i	−0.231116	+	0.577301i	−0.997912	−	0.0645905i	$-0.979426\pi$
$857$	−6.76583	+	16.9002i	−0.231116	+	0.577301i	0.766795	+	0.641892i	$0.221850\pi$
$858$	1.97516	+	2.07149i	0.0674308	+	0.0707194i
$859$	7.23909	−	14.0419i	0.246995	−	0.479103i	−0.732449	−	0.680822i	$-0.761623\pi$
$859$	7.23909	−	14.0419i	0.246995	−	0.479103i	0.979443	+	0.201720i	$0.0646529\pi$
$860$	−2.72511	+	1.24452i	−0.0929254	+	0.0424376i
$861$	5.89419	−	3.01196i	0.200874	−	0.102647i
$862$	0.814860	+	0.706081i	0.0277543	+	0.0240492i
$863$	−27.8742	−	5.37231i	−0.948848	−	0.182876i	−0.308728	−	0.951150i	$-0.599903\pi$
$863$	−27.8742	−	5.37231i	−0.948848	−	0.182876i	−0.640120	+	0.768275i	$0.721115\pi$
$864$	3.86274	+	0.937091i	0.131413	+	0.0318805i
$865$	−1.19315	+	12.4952i	−0.0405683	+	0.424851i
$866$	20.9317	+	10.7911i	0.711289	+	0.366695i
$867$	−13.3138	+	45.3425i	−0.452159	+	1.53991i
$868$	−0.275379	+	1.40173i	−0.00934699	+	0.0475778i
$869$	2.77491	−	6.07620i	0.0941322	−	0.206121i
$870$	7.50434	+	18.7449i	0.254421	+	0.635512i
$871$	1.57814	−	0.813585i	0.0534731	−	0.0275673i
$872$	−2.01596	−	10.4598i	−0.0682690	−	0.354213i
$873$	1.74366	+	3.02011i	0.0590140	+	0.102215i
$874$	−3.14003	+	9.55259i	−0.106213	+	0.323121i
$875$	20.7840	+	24.1606i	0.702627	+	0.816777i
$876$	6.29539	+	7.26526i	0.212701	+	0.245470i
$877$	0.873184	−	18.3304i	0.0294853	−	0.618973i	−0.934970	−	0.354727i	$-0.884574\pi$
$877$	0.873184	−	18.3304i	0.0294853	−	0.618973i	0.964455	−	0.264246i	$-0.0851232\pi$
$878$	38.3129	−	48.7188i	1.29300	−	1.64418i
$879$	12.9576	−	9.22706i	0.437049	−	0.311221i
$880$	8.54676	+	10.8681i	0.288111	+	0.366363i
$881$	−49.6494	−	14.5784i	−1.67273	−	0.491158i	−0.698291	−	0.715814i	$-0.746056\pi$
$881$	−49.6494	−	14.5784i	−1.67273	−	0.491158i	−0.974438	+	0.224656i	$0.927874\pi$
$882$	−11.5185	−	1.18333i	−0.387847	−	0.0398447i
$883$	−17.6263	−	38.5963i	−0.593174	−	1.29887i	−0.933505	−	0.358563i	$-0.883267\pi$
$883$	−17.6263	−	38.5963i	−0.593174	−	1.29887i	0.340332	−	0.940305i	$-0.389461\pi$
$884$	4.20170	−	4.40661i	0.141318	−	0.148210i
$885$	−2.65699	−	7.67688i	−0.0893138	−	0.258055i
$886$	−14.5578	−	42.0619i	−0.489077	−	1.41310i
$887$	−11.7670	+	12.3408i	−0.395096	+	0.414365i	−0.890993	−	0.454016i	$-0.849991\pi$
$887$	−11.7670	+	12.3408i	−0.395096	+	0.414365i	0.495897	+	0.868381i	$0.334839\pi$
$888$	2.31325	+	5.06531i	0.0776276	+	0.169981i
$889$	17.4585	+	5.19436i	0.585538	+	0.174213i
$890$	6.17581	+	1.81338i	0.207013	+	0.0607846i
$891$	−1.03676	−	1.31835i	−0.0347328	−	0.0441663i
$892$	−15.1525	+	10.7901i	−0.507344	+	0.361278i
$893$	2.61558	−	3.32598i	0.0875271	−	0.111300i
$894$	0.0649691	−	1.36387i	0.00217289	−	0.0456146i
$895$	1.42746	+	1.64737i	0.0477147	+	0.0550657i
$896$	11.7026	−	33.4240i	0.390956	−	1.11662i
$897$	−4.56411	+	1.91041i	−0.152391	+	0.0637869i
$898$	16.6184	+	28.7839i	0.554564	+	0.960533i
$899$	1.01323	+	5.25713i	0.0337931	+	0.175335i
$900$	−1.44254	+	0.743681i	−0.0480847	+	0.0247894i
$901$	−33.5130	−	83.7115i	−1.11648	−	2.78883i
$902$	−2.88331	+	6.31357i	−0.0960038	+	0.210219i
$903$	−2.08411	−	6.09226i	−0.0693549	−	0.202738i
$904$	−8.10538	+	27.6044i	−0.269581	+	0.918108i
$905$	−33.8314	−	17.4413i	−1.12460	−	0.579769i
$906$	−1.39283	+	14.5863i	−0.0462735	+	0.484598i
$907$	−21.4147	−	5.19516i	−0.711064	−	0.172502i	−0.136117	−	0.990693i	$-0.543462\pi$
$907$	−21.4147	−	5.19516i	−0.711064	−	0.172502i	−0.574947	+	0.818190i	$0.694977\pi$
$908$	−7.09157	−	1.36679i	−0.235342	−	0.0453584i
$909$	−5.52368	−	4.78630i	−0.183209	−	0.158751i
$910$	−3.43525	−	6.72254i	−0.113877	−	0.222850i
$911$	28.2841	−	12.9169i	0.937093	−	0.427956i	0.112480	−	0.993654i	$-0.464120\pi$
$911$	28.2841	−	12.9169i	0.937093	−	0.427956i	0.824613	+	0.565698i	$0.191393\pi$
$912$	−2.86368	+	5.55477i	−0.0948260	+	0.183937i
$913$	−3.88206	−	4.07139i	−0.128477	−	0.134743i
$914$	−3.61348	+	9.02603i	−0.119523	+	0.298555i
$915$	1.47142	+	15.4095i	0.0486438	+	0.509421i
$916$	1.15883	−	8.05982i	0.0382887	−	0.266304i
$917$	−28.4875	−	36.4935i	−0.940741	−	1.20512i
$918$	−10.0211	+	8.68331i	−0.330745	+	0.286592i
$919$	−20.5517	+	11.8655i	−0.677936	+	0.391407i	−0.799077	−	0.601229i	$-0.794678\pi$
$919$	−20.5517	+	11.8655i	−0.677936	+	0.391407i	0.121141	+	0.992635i	$0.461345\pi$
$920$	−16.0080	+	4.97317i	−0.527768	+	0.163961i
$921$	−1.73872	+	3.01156i	−0.0572929	+	0.0992342i
$922$	−9.15036	−	3.16697i	−0.301351	−	0.104299i
$923$	5.95986	−	9.27373i	0.196171	−	0.305249i
$924$	2.75467	−	1.75639i	0.0906219	−	0.0577809i
$925$	−5.34137	−	2.43932i	−0.175623	−	0.0802043i
$926$	28.3354	−	22.2832i	0.931158	−	0.732271i
$927$	−9.06072	+	8.63938i	−0.297593	+	0.283755i
$928$	1.38071	+	28.9848i	0.0453242	+	0.951471i
$929$	3.20126	+	2.27961i	0.105030	+	0.0747915i	0.631365	−	0.775486i	$-0.282495\pi$
$929$	3.20126	+	2.27961i	0.105030	+	0.0747915i	−0.526335	+	0.850277i	$0.676434\pi$
$930$	1.94615	−	0.571442i	0.0638169	−	0.0187383i
$931$	2.96207	−	8.36372i	0.0970778	−	0.274110i
$932$	−7.31489	+	8.44184i	−0.239607	+	0.276522i
$933$	−15.9665	−	15.2240i	−0.522719	−	0.498411i
$934$	53.4165	+	5.10066i	1.74784	+	0.166899i
$935$	−22.4535	+	1.06959i	−0.734307	+	0.0349794i
$936$	−2.09591	+	0.508462i	−0.0685070	+	0.0166196i
$937$	−6.43790	−	44.7766i	−0.210317	−	1.46279i	−0.772099	−	0.635502i	$-0.780793\pi$
$937$	−6.43790	−	44.7766i	−0.210317	−	1.46279i	0.561782	−	0.827285i	$-0.310116\pi$
$938$	−2.09603	−	7.23430i	−0.0684377	−	0.236208i
$939$	−15.3303	−	2.20416i	−0.500285	−	0.0719301i
$940$	−4.10461	−	0.195527i	−0.133878	−	0.00637738i
$941$	−24.4129	+	4.70520i	−0.795838	+	0.153385i	−0.570934	−	0.820996i	$-0.693419\pi$
$941$	−24.4129	+	4.70520i	−0.795838	+	0.153385i	−0.224904	+	0.974381i	$0.572207\pi$
$942$	−13.8263	−	7.98264i	−0.450486	−	0.260088i
$943$	−8.41433	−	8.55320i	−0.274008	−	0.278531i
$944$		−	23.9551i		−	0.779673i
$945$	1.62939	+	4.11271i	0.0530040	+	0.133786i
$946$	5.67994	+	3.65027i	0.184671	+	0.118681i
$947$	49.3735	−	19.7662i	1.60442	−	0.642315i	0.615154	−	0.788407i	$-0.289094\pi$
$947$	49.3735	−	19.7662i	1.60442	−	0.642315i	0.989271	+	0.146092i	$0.0466697\pi$
$948$	−1.70089	−	2.38857i	−0.0552424	−	0.0775771i
$949$	−12.5062	−	5.00671i	−0.405967	−	0.162525i
$950$	−1.08967	−	4.49166i	−0.0353534	−	0.145729i
$951$	7.53175	+	11.7196i	0.244234	+	0.380035i
$952$	25.5873	+	36.2066i	0.829291	+	1.17346i
$953$	3.57139	+	12.1630i	0.115689	+	0.393999i	0.996896	−	0.0787309i	$-0.0250868\pi$
$953$	3.57139	+	12.1630i	0.115689	+	0.393999i	−0.881207	+	0.472730i	$0.843269\pi$
$954$	3.52145	−	18.2710i	0.114011	−	0.591546i
$955$	8.98212	−	3.10874i	0.290655	−	0.100597i
$956$	−1.23081	+	5.07347i	−0.0398073	+	0.164088i
$957$	7.10227	−	9.97374i	0.229584	−	0.322405i
$958$	−21.2758	+	13.6731i	−0.687390	+	0.441758i
$959$	−4.55002	+	45.9091i	−0.146928	+	1.48248i
$960$	−5.43819	+	0.781894i	−0.175517	+	0.0252355i
$961$	−30.3242	+	2.89561i	−0.978201	+	0.0934069i
$962$	3.57335	+	2.81011i	0.115209	+	0.0906017i
$963$	9.11471	+	17.6801i	0.293717	+	0.569732i
$964$	1.29605	−	3.74470i	0.0417431	−	0.120609i
$965$	25.6215			0.824784
$966$	4.21979	+	20.5603i	0.135769	+	0.661518i
$967$	−12.4140			−0.399208			−0.199604	−	0.979877i	$-0.563966\pi$
$967$	−12.4140			−0.399208			−0.199604	+	0.979877i	$0.563966\pi$
$968$	−5.59770	+	16.1735i	−0.179917	+	0.519836i
$969$	−4.65585	−	9.03110i	−0.149568	−	0.290121i
$970$	7.58158	+	5.96222i	0.243430	+	0.191435i
$971$	−22.1071	+	2.11097i	−0.709450	+	0.0677442i	−0.443541	−	0.896254i	$-0.646278\pi$
$971$	−22.1071	+	2.11097i	−0.709450	+	0.0677442i	−0.265909	+	0.963998i	$0.585672\pi$
$972$	−0.728744	+	0.104778i	−0.0233745	+	0.00336074i
$973$	22.4538	−	10.1571i	0.719836	−	0.325623i
$974$	−35.9840	+	23.1255i	−1.15300	+	0.740990i
$975$	1.31919	−	1.85254i	0.0422479	−	0.0593289i
$976$	−10.7615	+	44.3595i	−0.344467	+	1.41991i
$977$	37.3110	−	12.9135i	1.19369	−	0.413138i	0.343263	−	0.939239i	$-0.388468\pi$
$977$	37.3110	−	12.9135i	1.19369	−	0.413138i	0.850422	+	0.526101i	$0.176347\pi$
$978$	−5.14113	+	26.6747i	−0.164395	+	0.852963i
$979$	−1.09964	−	3.74504i	−0.0351447	−	0.119692i
$980$	−8.28512	+	2.36831i	−0.264659	+	0.0756527i
$981$	2.75492	+	4.28675i	0.0879579	+	0.136865i
$982$	−16.7307	−	68.9648i	−0.533898	−	2.20076i
$983$	12.8625	+	5.14936i	0.410249	+	0.164239i	0.567601	−	0.823304i	$-0.307872\pi$
$983$	12.8625	+	5.14936i	0.410249	+	0.164239i	−0.157352	+	0.987543i	$0.550296\pi$
$984$	−3.03366	−	4.26018i	−0.0967096	−	0.135810i
$985$	−29.3058	+	11.7323i	−0.933759	+	0.373821i
$986$	−81.4351	−	52.3351i	−2.59342	−	1.66669i
$987$	1.28827	−	8.73750i	0.0410060	−	0.278118i
$988$			0.962779i			0.0306301i
$989$	−9.40042	+	6.91775i	−0.298916	+	0.219972i
$990$	−4.01720	−	2.31933i	−0.127675	−	0.0737133i
$991$	17.7770	−	3.42624i	0.564705	−	0.108838i	0.101094	−	0.994877i	$-0.467766\pi$
$991$	17.7770	−	3.42624i	0.564705	−	0.108838i	0.463611	+	0.886039i	$0.346554\pi$
$992$	2.91167	+	0.138700i	0.0924455	+	0.00440372i
$993$	13.0697	+	1.87915i	0.414756	+	0.0596329i
$994$	−33.7282	−	32.3915i	−1.06979	−	1.02740i
$995$	4.20015	+	29.2127i	0.133154	+	0.926104i
$996$	−2.39986	+	0.582200i	−0.0760424	+	0.0184477i
$997$	4.55520	−	0.216991i	0.144265	−	0.00687218i	0.0246747	−	0.999696i	$-0.492145\pi$
$997$	4.55520	−	0.216991i	0.144265	−	0.00687218i	0.119590	+	0.992823i	$0.461842\pi$
$998$	−39.4356	−	3.76564i	−1.24831	−	0.119199i
$999$	−1.92787	−	1.83822i	−0.0609950	−	0.0581586i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bf.a.10.24	✓	640
7.5	odd	6	inner	483.2.bf.a.355.9	yes	640
23.7	odd	22	inner	483.2.bf.a.283.9	yes	640
161.145	even	66	inner	483.2.bf.a.145.24	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bf.a.10.24	✓	640	1.1	even	1	trivial
483.2.bf.a.145.24	yes	640	161.145	even	66	inner
483.2.bf.a.283.9	yes	640	23.7	odd	22	inner
483.2.bf.a.355.9	yes	640	7.5	odd	6	inner

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

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Newspace parameters

Newform invariants

Embedding invariants

$q$ -expansion

Character values

Coefficient data

Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	483.2.bf.a.10.24

Level	$483$
Weight	$2$
Character	483.10
Analytic conductor	$3.857$
Analytic rank	$0$
Dimension	$640$
Inner twists	$4$