LMFDB - Embedded newform 483.2.bf.a.10.31

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			10.31
Character	$\chi$	$=$	483.10
Dual form			483.2.bf.a.145.31

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.830750 - 2.40029i) q^{2} +(0.458227 + 0.888835i) q^{3} +(-3.49916 - 2.75177i) q^{4} +(3.07521 - 0.293647i) q^{5} +(2.51414 - 0.361478i) q^{6} +(-2.46017 - 0.973435i) q^{7} +(-5.23843 + 3.36653i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(1.84989 - 7.62535i) q^{10} +(4.67599 - 1.61838i) q^{11} +(0.842463 - 4.37111i) q^{12} +(-1.23487 - 4.20558i) q^{13} +(-4.38031 + 5.09644i) q^{14} +(1.67015 + 2.59880i) q^{15} +(1.62986 + 6.71837i) q^{16} +(0.915811 + 0.366635i) q^{17} +(1.47334 + 2.06902i) q^{18} +(-5.65520 + 2.26400i) q^{19} +(-11.5687 - 7.43475i) q^{20} +(-0.262090 - 2.63274i) q^{21} -12.5682i q^{22} +(4.78739 + 0.284353i) q^{23} +(-5.39268 - 3.11347i) q^{24} +(4.46104 - 0.859794i) q^{25} +(-11.1205 - 0.529735i) q^{26} +(-0.989821 - 0.142315i) q^{27} +(5.92985 + 10.1760i) q^{28} +(-0.209680 - 1.45836i) q^{29} +(7.62535 - 1.84989i) q^{30} +(1.21525 - 0.0578896i) q^{31} +(5.08260 + 0.485329i) q^{32} +(3.58113 + 3.41460i) q^{33} +(1.64084 - 1.89363i) q^{34} +(-7.85137 - 2.27110i) q^{35} +(4.27124 - 1.25415i) q^{36} +(8.71374 + 6.20503i) q^{37} +(0.736210 + 15.4550i) q^{38} +(3.17222 - 3.02471i) q^{39} +(-15.1207 + 11.8910i) q^{40} +(-3.66112 - 1.67198i) q^{41} +(-6.53708 - 1.55805i) q^{42} +(-4.22207 + 6.56967i) q^{43} +(-20.8154 - 7.20429i) q^{44} +(-1.54460 + 2.67532i) q^{45} +(4.65966 - 11.2549i) q^{46} +(-6.71763 + 3.87842i) q^{47} +(-5.22468 + 4.52721i) q^{48} +(5.10485 + 4.78963i) q^{49} +(1.64225 - 11.4221i) q^{50} +(0.0937703 + 0.982007i) q^{51} +(-7.25179 + 18.1141i) q^{52} +(6.13686 + 6.43616i) q^{53} +(-1.16389 + 2.25763i) q^{54} +(13.9044 - 6.34993i) q^{55} +(16.1645 - 3.18297i) q^{56} +(-4.60368 - 3.98911i) q^{57} +(-3.67468 - 0.708236i) q^{58} +(5.20021 + 1.26156i) q^{59} +(1.30719 - 13.6895i) q^{60} +(3.00790 + 1.55068i) q^{61} +(0.870618 - 2.96505i) q^{62} +(2.21997 - 1.43935i) q^{63} +(-0.356432 + 0.780478i) q^{64} +(-5.03244 - 12.5704i) q^{65} +(11.1711 - 5.75909i) q^{66} +(-1.52663 - 7.92091i) q^{67} +(-2.19567 - 3.80302i) q^{68} +(1.94097 + 4.38550i) q^{69} +(-11.9738 + 16.9589i) q^{70} +(6.02060 + 6.94814i) q^{71} +(0.296289 - 6.21988i) q^{72} +(1.22798 - 1.56150i) q^{73} +(22.1328 - 15.7607i) q^{74} +(2.80838 + 3.57115i) q^{75} +(26.0184 + 7.63970i) q^{76} +(-13.0791 - 0.570299i) q^{77} +(-4.62486 - 10.1270i) q^{78} +(-6.34659 + 6.65612i) q^{79} +(6.98499 + 20.1818i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-7.05471 + 7.39876i) q^{82} +(4.44954 + 9.74313i) q^{83} +(-6.32759 + 9.93358i) q^{84} +(2.92397 + 0.858555i) q^{85} +(12.2617 + 15.5920i) q^{86} +(1.20016 - 0.854629i) q^{87} +(-19.0465 + 24.2196i) q^{88} +(0.646007 - 13.5614i) q^{89} +(5.13839 + 5.93001i) q^{90} +(-1.05587 + 11.5485i) q^{91} +(-15.9694 - 14.1688i) q^{92} +(0.608315 + 1.05363i) q^{93} +(3.72869 + 19.3463i) q^{94} +(-16.7261 + 8.62290i) q^{95} +(1.89760 + 4.73998i) q^{96} +(-3.90736 + 8.55593i) q^{97} +(15.7374 - 8.27415i) q^{98} +(-1.39405 + 4.74770i) 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

)

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

$2$	0.830750	−	2.40029i	0.587429	−	1.69726i	−0.122038	−	0.992525i	$-0.538943\pi$
$2$	0.830750	−	2.40029i	0.587429	−	1.69726i	0.709467	−	0.704739i	$-0.248936\pi$
$3$	0.458227	+	0.888835i	0.264557	+	0.513169i
$3$	0.458227	+	0.888835i	0.264557	+	0.513169i
$4$	−3.49916	−	2.75177i	−1.74958	−	1.37588i
$5$	3.07521	−	0.293647i	1.37528	−	0.131323i	0.618905	−	0.785466i	$-0.287577\pi$
$5$	3.07521	−	0.293647i	1.37528	−	0.131323i	0.756371	+	0.654143i	$0.226971\pi$
$6$	2.51414	−	0.361478i	1.02639	−	0.147573i
$7$	−2.46017	−	0.973435i	−0.929856	−	0.367924i
$7$	−2.46017	−	0.973435i	−0.929856	−	0.367924i
$8$	−5.23843	+	3.36653i	−1.85206	+	1.19025i
$9$	−0.580057	+	0.814576i	−0.193352	+	0.271525i
$10$	1.84989	−	7.62535i	0.584987	−	2.41135i
$11$	4.67599	−	1.61838i	1.40986	−	0.487959i	0.487107	−	0.873342i	$-0.338052\pi$
$11$	4.67599	−	1.61838i	1.40986	−	0.487959i	0.922756	+	0.385384i	$0.125931\pi$
$12$	0.842463	−	4.37111i	0.243198	−	1.26183i
$13$	−1.23487	−	4.20558i	−0.342491	−	1.16642i	−0.933147	−	0.359495i	$-0.882949\pi$
$13$	−1.23487	−	4.20558i	−0.342491	−	1.16642i	0.590656	−	0.806924i	$-0.298869\pi$
$14$	−4.38031	+	5.09644i	−1.17069	+	1.36208i
$15$	1.67015	+	2.59880i	0.431230	+	0.671007i
$16$	1.62986	+	6.71837i	0.407465	+	1.67959i
$17$	0.915811	+	0.366635i	0.222117	+	0.0889221i	0.480052	−	0.877240i	$-0.340618\pi$
$17$	0.915811	+	0.366635i	0.222117	+	0.0889221i	−0.257935	+	0.966162i	$0.583042\pi$
$18$	1.47334	+	2.06902i	0.347269	+	0.487672i
$19$	−5.65520	+	2.26400i	−1.29739	+	0.519397i	−0.914571	−	0.404426i	$-0.867471\pi$
$19$	−5.65520	+	2.26400i	−1.29739	+	0.519397i	−0.382820	+	0.923823i	$0.625047\pi$
$20$	−11.5687	−	7.43475i	−2.58684	−	1.66246i
$21$	−0.262090	−	2.63274i	−0.0571927	−	0.574511i
$22$		−	12.5682i		−	2.67955i
$23$	4.78739	+	0.284353i	0.998241	+	0.0592917i
$23$	4.78739	+	0.284353i	0.998241	+	0.0592917i
$24$	−5.39268	−	3.11347i	−1.10078	−	0.635534i
$25$	4.46104	−	0.859794i	0.892207	−	0.171959i
$26$	−11.1205	−	0.529735i	−2.18091	−	0.103890i
$27$	−0.989821	−	0.142315i	−0.190491	−	0.0273885i
$28$	5.92985	+	10.1760i	1.12064	+	1.92309i
$29$	−0.209680	−	1.45836i	−0.0389366	−	0.270810i	0.961048	−	0.276382i	$-0.0891355\pi$
$29$	−0.209680	−	1.45836i	−0.0389366	−	0.270810i	−0.999984	+	0.00557186i	$0.998226\pi$
$30$	7.62535	−	1.84989i	1.39219	−	0.337742i
$31$	1.21525	−	0.0578896i	0.218266	−	0.0103973i	0.0618358	−	0.998086i	$-0.480304\pi$
$31$	1.21525	−	0.0578896i	0.218266	−	0.0103973i	0.156430	+	0.987689i	$0.450001\pi$
$32$	5.08260	+	0.485329i	0.898485	+	0.0857949i
$33$	3.58113	+	3.41460i	0.623395	+	0.594406i
$34$	1.64084	−	1.89363i	0.281402	−	0.324755i
$35$	−7.85137	−	2.27110i	−1.32712	−	0.383885i
$36$	4.27124	−	1.25415i	0.711873	−	0.209025i
$37$	8.71374	+	6.20503i	1.43253	+	1.02010i	0.992517	+	0.122109i	$0.0389658\pi$
$37$	8.71374	+	6.20503i	1.43253	+	1.02010i	0.440014	+	0.897991i	$0.354974\pi$
$38$	0.736210	+	15.4550i	0.119429	+	2.50712i
$39$	3.17222	−	3.02471i	0.507962	−	0.484341i
$40$	−15.1207	+	11.8910i	−2.39079	+	1.88014i
$41$	−3.66112	−	1.67198i	−0.571770	−	0.261119i	0.108480	−	0.994099i	$-0.465402\pi$
$41$	−3.66112	−	1.67198i	−0.571770	−	0.261119i	−0.680250	+	0.732980i	$0.738129\pi$
$42$	−6.53708	−	1.55805i	−1.00869	−	0.240413i
$43$	−4.22207	+	6.56967i	−0.643860	+	1.00187i	0.353920	+	0.935276i	$0.384848\pi$
$43$	−4.22207	+	6.56967i	−0.643860	+	1.00187i	−0.997780	+	0.0665901i	$0.978788\pi$
$44$	−20.8154	−	7.20429i	−3.13804	−	1.08609i
$45$	−1.54460	+	2.67532i	−0.230255	+	0.398814i
$46$	4.65966	−	11.2549i	0.687029	−	1.65945i
$47$	−6.71763	+	3.87842i	−0.979866	+	0.565726i	−0.902230	−	0.431256i	$-0.858071\pi$
$47$	−6.71763	+	3.87842i	−0.979866	+	0.565726i	−0.0776366	+	0.996982i	$0.524737\pi$
$48$	−5.22468	+	4.52721i	−0.754118	+	0.653447i
$49$	5.10485	+	4.78963i	0.729264	+	0.684233i
$50$	1.64225	−	11.4221i	0.232249	−	1.61533i
$51$	0.0937703	+	0.982007i	0.0131305	+	0.137509i
$52$	−7.25179	+	18.1141i	−1.00564	+	2.51197i
$53$	6.13686	+	6.43616i	0.842963	+	0.884074i	0.994538	−	0.104372i	$-0.0332831\pi$
$53$	6.13686	+	6.43616i	0.842963	+	0.884074i	−0.151575	+	0.988446i	$0.548435\pi$
$54$	−1.16389	+	2.25763i	−0.158386	+	0.307225i
$55$	13.9044	−	6.34993i	1.87487	−	0.856225i
$56$	16.1645	−	3.18297i	2.16007	−	0.425342i
$57$	−4.60368	−	3.98911i	−0.609773	−	0.528371i
$58$	−3.67468	−	0.708236i	−0.482509	−	0.0929960i
$59$	5.20021	+	1.26156i	0.677009	+	0.164241i	0.559499	−	0.828831i	$-0.310994\pi$
$59$	5.20021	+	1.26156i	0.677009	+	0.164241i	0.117510	+	0.993072i	$0.462509\pi$
$60$	1.30719	−	13.6895i	0.168757	−	1.76730i
$61$	3.00790	+	1.55068i	0.385123	+	0.198544i	0.639905	−	0.768454i	$-0.278974\pi$
$61$	3.00790	+	1.55068i	0.385123	+	0.198544i	−0.254783	+	0.966998i	$0.582004\pi$
$62$	0.870618	−	2.96505i	0.110569	−	0.376562i
$63$	2.21997	−	1.43935i	0.279690	−	0.181340i
$64$	−0.356432	+	0.780478i	−0.0445540	+	0.0975597i
$65$	−5.03244	−	12.5704i	−0.624197	−	1.55917i
$66$	11.1711	−	5.75909i	1.37506	−	0.708895i
$67$	−1.52663	−	7.92091i	−0.186508	−	0.967693i	−0.947699	−	0.319166i	$-0.896597\pi$
$67$	−1.52663	−	7.92091i	−0.186508	−	0.967693i	0.761191	−	0.648527i	$-0.224615\pi$
$68$	−2.19567	−	3.80302i	−0.266264	−	0.461184i
$69$	1.94097	+	4.38550i	0.233665	+	0.527953i
$70$	−11.9738	+	16.9589i	−1.43115	+	2.02698i
$71$	6.02060	+	6.94814i	0.714513	+	0.824592i	0.990636	−	0.136530i	$-0.0435950\pi$
$71$	6.02060	+	6.94814i	0.714513	+	0.824592i	−0.276123	+	0.961122i	$0.589050\pi$
$72$	0.296289	−	6.21988i	0.0349180	−	0.733020i
$73$	1.22798	−	1.56150i	0.143724	−	0.182760i	−0.708862	−	0.705348i	$-0.750791\pi$
$73$	1.22798	−	1.56150i	0.143724	−	0.182760i	0.852585	+	0.522588i	$0.175033\pi$
$74$	22.1328	−	15.7607i	2.57289	−	1.83215i
$75$	2.80838	+	3.57115i	0.324284	+	0.412361i
$76$	26.0184	+	7.63970i	2.98452	+	0.876334i
$77$	−13.0791	−	0.570299i	−1.49050	−	0.0649916i
$78$	−4.62486	−	10.1270i	−0.523663	−	1.14666i
$79$	−6.34659	+	6.65612i	−0.714048	+	0.748872i	−0.976369	−	0.216109i	$-0.930663\pi$
$79$	−6.34659	+	6.65612i	−0.714048	+	0.748872i	0.262322	+	0.964981i	$0.415512\pi$
$80$	6.98499	+	20.1818i	0.780945	+	2.25639i
$81$	−0.327068	−	0.945001i	−0.0363409	−	0.105000i
$82$	−7.05471	+	7.39876i	−0.779062	+	0.817057i
$83$	4.44954	+	9.74313i	0.488401	+	1.06945i	0.980068	+	0.198665i	$0.0636605\pi$
$83$	4.44954	+	9.74313i	0.488401	+	1.06945i	−0.491667	+	0.870783i	$0.663612\pi$
$84$	−6.32759	+	9.93358i	−0.690397	+	1.08384i
$85$	2.92397	+	0.858555i	0.317149	+	0.0931234i
$86$	12.2617	+	15.5920i	1.32221	+	1.68133i
$87$	1.20016	−	0.854629i	0.128671	−	0.0916259i
$88$	−19.0465	+	24.2196i	−2.03037	+	2.58182i
$89$	0.646007	−	13.5614i	0.0684766	−	1.43750i	−0.659400	−	0.751792i	$-0.729190\pi$
$89$	0.646007	−	13.5614i	0.0684766	−	1.43750i	0.727877	−	0.685708i	$-0.240507\pi$
$90$	5.13839	+	5.93001i	0.541634	+	0.625078i
$91$	−1.05587	+	11.5485i	−0.110686	+	1.21061i
$92$	−15.9694	−	14.1688i	−1.66492	−	1.47720i
$93$	0.608315	+	1.05363i	0.0630793	+	0.109257i
$94$	3.72869	+	19.3463i	0.384585	+	1.99542i
$95$	−16.7261	+	8.62290i	−1.71606	+	0.884691i
$96$	1.89760	+	4.73998i	0.193673	+	0.483772i
$97$	−3.90736	+	8.55593i	−0.396732	+	0.868723i	0.600859	+	0.799355i	$0.294825\pi$
$97$	−3.90736	+	8.55593i	−0.396732	+	0.868723i	−0.997591	+	0.0693675i	$0.977902\pi$
$98$	15.7374	−	8.27415i	1.58971	−	0.835815i
$99$	−1.39405	+	4.74770i	−0.140107	+	0.477162i
$100$	−17.9758	−	9.26719i	−1.79758	−	0.926719i
$101$	−0.0266821	+	0.279427i	−0.00265496	+	0.0278040i	−0.996702	−	0.0811447i	$-0.974142\pi$
$101$	−0.0266821	+	0.279427i	−0.00265496	+	0.0278040i	0.994047	+	0.108949i	$0.0347485\pi$
$102$	2.43501	+	0.590726i	0.241102	+	0.0584906i
$103$	−1.95502	−	0.376799i	−0.192634	−	0.0371271i	0.0920217	−	0.995757i	$-0.470667\pi$
$103$	−1.95502	−	0.376799i	−0.192634	−	0.0371271i	−0.284655	+	0.958630i	$0.591879\pi$
$104$	20.6270	+	17.8734i	2.02265	+	1.75263i
$105$	−1.57908	−	8.01926i	−0.154102	−	0.782599i
$106$	20.5469	−	9.38344i	1.99569	−	0.911400i
$107$	1.45697	−	2.82612i	0.140850	−	0.273211i	−0.807850	−	0.589388i	$-0.799369\pi$
$107$	1.45697	−	2.82612i	0.140850	−	0.273211i	0.948700	+	0.316177i	$0.102399\pi$
$108$	3.07193	+	3.22174i	0.295596	+	0.310012i
$109$	7.05789	−	17.6297i	0.676023	−	1.68862i	−0.0479996	−	0.998847i	$-0.515285\pi$
$109$	7.05789	−	17.6297i	0.676023	−	1.68862i	0.724023	−	0.689776i	$-0.242291\pi$
$110$	−3.69062	−	38.6499i	−0.351886	−	3.68512i
$111$	−1.52238	+	10.5884i	−0.144498	+	1.00501i
$112$	2.53017	−	18.1149i	0.239079	−	1.71170i
$113$	10.4182	−	9.02745i	0.980064	−	0.849231i	−0.00851013	−	0.999964i	$-0.502709\pi$
$113$	10.4182	−	9.02745i	0.980064	−	0.849231i	0.988574	+	0.150733i	$0.0481634\pi$
$114$	−13.3996	+	7.73624i	−1.25498	+	0.724565i
$115$	14.8057	−	0.531358i	1.38064	−	0.0495494i
$116$	−3.27936	+	5.68002i	−0.304481	+	0.527376i
$117$	4.14206	+	1.43358i	0.382934	+	0.132535i
$118$	7.34818	−	11.4340i	0.676455	−	1.05258i
$119$	−1.89615	−	1.79347i	−0.173820	−	0.164407i
$120$	−17.4979	−	7.99102i	−1.59733	−	0.729477i
$121$	10.5991	−	8.33526i	0.963559	−	0.757751i
$122$	6.22091	−	5.93162i	0.563215	−	0.537024i
$123$	−0.191509	−	4.02027i	−0.0172678	−	0.362496i
$124$	−4.41166	−	3.14153i	−0.396179	−	0.282118i
$125$	−1.35417	+	0.397620i	−0.121120	+	0.0355642i
$126$	−1.61061	−	6.52433i	−0.143484	−	0.581233i
$127$	−6.69073	+	7.72151i	−0.593706	+	0.685173i	−0.970494	−	0.241126i	$-0.922483\pi$
$127$	−6.69073	+	7.72151i	−0.593706	+	0.685173i	0.376788	+	0.926300i	$0.377029\pi$
$128$	8.96763	+	8.55062i	0.792634	+	0.755775i
$129$	−7.77402	−	0.742329i	−0.684465	−	0.0653584i
$130$	−34.3534	+	1.63646i	−3.01299	+	0.143527i
$131$	−3.96476	+	0.961840i	−0.346402	+	0.0840363i	−0.405186	−	0.914234i	$-0.632793\pi$
$131$	−3.96476	+	0.961840i	−0.346402	+	0.0840363i	0.0587831	+	0.998271i	$0.481278\pi$
$132$	−3.13475	−	21.8027i	−0.272845	−	1.89768i
$133$	16.1166	−	0.0648483i	1.39749	−	0.00562306i
$134$	−20.2808	−	2.91593i	−1.75199	−	0.251898i
$135$	−3.08570	−	0.146990i	−0.265575	−	0.0126509i
$136$	−6.03170	+	1.16252i	−0.517214	+	0.0996849i
$137$	−12.4724	−	7.20096i	−1.06559	−	0.615219i	−0.138618	−	0.990346i	$-0.544266\pi$
$137$	−12.4724	−	7.20096i	−1.06559	−	0.615219i	−0.926974	+	0.375126i	$0.877599\pi$
$138$	12.1390	−	1.01564i	1.03334	−	0.0864568i
$139$		−	18.5895i		−	1.57674i	−0.615203	−	0.788369i	$-0.710926\pi$
$139$		−	18.5895i		−	1.57674i	0.615203	−	0.788369i	$-0.289074\pi$
$140$	21.2237	+	29.5521i	1.79373	+	2.49761i
$141$	−6.52547	−	4.19367i	−0.549544	−	0.353171i
$142$	21.6792	−	8.67904i	1.81928	−	0.728329i
$143$	−12.5804	−	17.6668i	−1.05203	−	1.47737i
$144$	−6.41803	−	2.56939i	−0.534836	−	0.214116i
$145$	−1.07305	−	4.42318i	−0.0891121	−	0.367325i
$146$	−2.72792	−	4.24472i	−0.225764	−	0.351296i
$147$	−1.91801	+	6.73210i	−0.158195	+	0.555255i
$148$	−13.4160	−	45.6906i	−1.10279	−	3.75574i
$149$	0.219576	−	1.13927i	0.0179884	−	0.0933327i	−0.971825	−	0.235704i	$-0.924261\pi$
$149$	0.219576	−	1.13927i	0.0179884	−	0.0933327i	0.989813	+	0.142371i	$0.0454726\pi$
$150$	10.9049	−	3.77421i	0.890379	−	0.308163i
$151$	−3.88049	+	15.9956i	−0.315790	+	1.30170i	0.563776	+	0.825927i	$0.309348\pi$
$151$	−3.88049	+	15.9956i	−0.315790	+	1.30170i	−0.879566	+	0.475776i	$0.842167\pi$
$152$	22.0025	−	30.8982i	1.78464	−	2.50618i
$153$	−0.829875	+	0.533328i	−0.0670914	+	0.0431170i
$154$	−12.2343	+	30.9199i	−0.985871	+	2.49160i
$155$	3.72015	−	0.534878i	0.298810	−	0.0429624i
$156$	−19.4234	+	1.85471i	−1.55512	+	0.148496i
$157$	1.62909	+	1.28113i	0.130016	+	0.102245i	0.681049	−	0.732238i	$-0.261524\pi$
$157$	1.62909	+	1.28113i	0.130016	+	0.102245i	−0.551034	+	0.834483i	$0.685766\pi$
$158$	10.7042	+	20.7633i	0.851581	+	1.65184i
$159$	−2.90861	+	8.40388i	−0.230668	+	0.666471i
$160$	15.7726			1.24693
$161$	−11.5010	−	5.35978i	−0.906405	−	0.422409i
$162$	−2.53999			−0.199561
$163$	−1.70646	+	4.93049i	−0.133660	+	0.386186i	−0.991893	−	0.127074i	$-0.959441\pi$
$163$	−1.70646	+	4.93049i	−0.133660	+	0.386186i	0.858233	+	0.513260i	$0.171563\pi$
$164$	8.20994	+	15.9251i	0.641089	+	1.24354i
$165$	12.0154	+	9.44903i	0.935399	+	0.735606i
$166$	27.0828	−	2.58610i	2.10204	−	0.200720i
$167$	−11.7418	+	1.68822i	−0.908610	+	0.130638i	−0.580744	−	0.814086i	$-0.697238\pi$
$167$	−11.7418	+	1.68822i	−0.908610	+	0.130638i	−0.327866	+	0.944724i	$0.606329\pi$
$168$	10.2361	+	12.9091i	0.789736	+	0.995957i
$169$	−5.22572	+	3.35837i	−0.401979	+	0.258336i
$170$	4.48987	−	6.30515i	0.344358	−	0.483583i
$171$	1.43614	−	5.91984i	0.109824	−	0.452701i
$172$	32.8519	−	11.3702i	2.50494	−	0.866967i
$173$	−4.40771	+	22.8694i	−0.335112	+	1.73873i	0.288943	+	0.957346i	$0.406696\pi$
$173$	−4.40771	+	22.8694i	−0.335112	+	1.73873i	−0.624055	+	0.781380i	$0.714516\pi$
$174$	−1.05433	−	3.59072i	−0.0799285	−	0.272212i
$175$	−11.8119	−	2.22729i	−0.892892	−	0.168368i
$176$	18.4940	+	28.7773i	1.39404	+	2.16917i
$177$	1.26156	+	5.20021i	0.0948244	+	0.390871i
$178$	−32.0146	−	12.8167i	−2.39959	−	0.960652i
$179$	3.83898	+	5.39110i	0.286939	+	0.402949i	0.932736	−	0.360560i	$-0.117414\pi$
$179$	3.83898	+	5.39110i	0.286939	+	0.402949i	−0.645797	+	0.763509i	$0.723475\pi$
$180$	12.7667	−	5.11100i	0.951571	−	0.380952i
$181$	−16.6028	−	10.6700i	−1.23408	−	0.793092i	−0.249555	−	0.968361i	$-0.580284\pi$
$181$	−16.6028	−	10.6700i	−1.23408	−	0.793092i	−0.984521	+	0.175269i	$0.943921\pi$
$182$	26.8426	+	12.1283i	1.98971	+	0.899011i
$183$			3.38409i			0.250159i
$184$	−26.0357	+	14.6274i	−1.91938	+	1.07834i
$185$	28.6187	+	16.5230i	2.10409	+	1.21479i
$186$	3.03439	−	0.584830i	0.222492	−	0.0428818i
$187$	4.87568	+	0.232257i	0.356545	+	0.0169843i
$188$	34.1786	+	4.91414i	2.49273	+	0.358400i
$189$	2.29659	+	1.31365i	0.167052	+	0.0955537i
$190$	6.80230	+	47.3110i	0.493490	+	3.43230i
$191$	−7.55942	+	1.83390i	−0.546980	+	0.132696i	−0.499721	−	0.866187i	$-0.666564\pi$
$191$	−7.55942	+	1.83390i	−0.546980	+	0.132696i	−0.0472598	+	0.998883i	$0.515049\pi$
$192$	−0.857043	+	0.0408260i	−0.0618517	+	0.00294636i
$193$	3.72911	+	0.356087i	0.268428	+	0.0256317i	0.228402	−	0.973567i	$-0.426650\pi$
$193$	3.72911	+	0.356087i	0.268428	+	0.0256317i	0.0400256	+	0.999199i	$0.487256\pi$
$194$	17.2907	+	16.4866i	1.24140	+	1.18367i
$195$	8.86704	−	10.2331i	0.634982	−	0.732809i
$196$	−4.68272	−	30.8070i	−0.334480	−	2.20050i
$197$	4.01206	−	1.17805i	0.285847	−	0.0839324i	−0.135666	−	0.990755i	$-0.543317\pi$
$197$	4.01206	−	1.17805i	0.285847	−	0.0839324i	0.421513	+	0.906822i	$0.361499\pi$
$198$	10.2378	+	7.29028i	0.727566	+	0.518098i
$199$	−0.455060	−	9.55289i	−0.0322584	−	0.677186i	−0.955858	−	0.293828i	$-0.905071\pi$
$199$	−0.455060	−	9.55289i	−0.0322584	−	0.677186i	0.923600	−	0.383358i	$-0.125232\pi$
$200$	−20.4743	+	19.5222i	−1.44775	+	1.38043i
$201$	6.34084	−	4.98649i	0.447248	−	0.351720i
$202$	0.648541	+	0.296179i	0.0456312	+	0.0208391i
$203$	−0.903769	+	3.79191i	−0.0634321	+	0.266140i
$204$	2.37414	−	3.69424i	0.166223	−	0.258648i
$205$	−11.7497	−	4.06660i	−0.820633	−	0.284024i
$206$	−2.52856	+	4.37959i	−0.176173	+	0.305141i
$207$	−3.00859	+	3.73476i	−0.209111	+	0.259583i
$208$	26.2420	−	15.1508i	1.81956	−	1.05052i
$209$	−22.7796	+	19.7387i	−1.57570	+	1.36535i
$210$	−20.5604	−	2.87175i	−1.41880	−	0.198169i
$211$	1.61885	−	11.2593i	0.111446	−	0.775125i	−0.855069	−	0.518514i	$-0.826485\pi$
$211$	1.61885	−	11.2593i	0.111446	−	0.775125i	0.966515	−	0.256610i	$-0.0826057\pi$
$212$	−3.76304	−	39.4084i	−0.258447	−	2.70658i
$213$	−3.41695	+	8.53514i	−0.234126	+	0.584818i
$214$	−5.57315	−	5.84495i	−0.380972	−	0.399552i
$215$	−11.0546	+	21.4429i	−0.753917	+	1.46239i
$216$	5.66422	−	2.58676i	0.385401	−	0.176007i
$217$	−3.04608	−	1.04055i	−0.206781	−	0.0706372i
$218$	−36.4532	−	31.5869i	−2.46893	−	2.13934i
$219$	1.95061	+	0.375949i	0.131810	+	0.0254043i
$220$	−66.1273	−	16.0423i	−4.45830	−	1.08157i
$221$	0.411008	−	4.30427i	0.0276474	−	0.289536i
$222$	24.1505	+	12.4505i	1.62088	+	0.835621i
$223$	−5.67890	+	19.3406i	−0.380287	+	1.29514i	0.517868	+	0.855461i	$0.326726\pi$
$223$	−5.67890	+	19.3406i	−0.380287	+	1.29514i	−0.898155	+	0.439679i	$0.855092\pi$
$224$	−12.0316	−	6.14157i	−0.803895	−	0.410351i
$225$	−1.88729	+	4.13258i	−0.125819	+	0.275506i
$226$	−13.0136	−	32.5064i	−0.865651	−	2.16229i
$227$	−20.2913	+	10.4609i	−1.34678	+	0.694314i	−0.972478	−	0.232993i	$-0.925148\pi$
$227$	−20.2913	+	10.4609i	−1.34678	+	0.694314i	−0.374302	+	0.927307i	$0.622118\pi$
$228$	5.13190	+	26.6268i	0.339868	+	1.76340i
$229$	4.54519	+	7.87251i	0.300355	+	0.520230i	0.976216	−	0.216799i	$-0.0695615\pi$
$229$	4.54519	+	7.87251i	0.300355	+	0.520230i	−0.675861	+	0.737029i	$0.736228\pi$
$230$	11.0244	−	35.9795i	0.726931	−	2.37242i
$231$	−5.48629	−	11.8865i	−0.360971	−	0.782074i
$232$	6.00801	+	6.93361i	0.394445	+	0.455214i
$233$	0.126166	−	2.64855i	0.00826542	−	0.173513i	−0.990960	−	0.134158i	$-0.957167\pi$
$233$	0.126166	−	2.64855i	0.00826542	−	0.173513i	0.999225	−	0.0393542i	$-0.0125301\pi$
$234$	6.88203	−	8.75122i	0.449893	−	0.572085i
$235$	−19.5192	+	13.8996i	−1.27329	+	0.906708i
$236$	−14.7248	−	18.7242i	−0.958506	−	1.21884i
$237$	−8.82437	−	2.59107i	−0.573204	−	0.168308i
$238$	−5.88008	+	3.06140i	−0.381149	+	0.198441i
$239$	−5.35564	−	11.7272i	−0.346427	−	0.758570i	−0.999999	−	0.00170490i	$-0.999457\pi$
$239$	−5.35564	−	11.7272i	−0.346427	−	0.758570i	0.653571	−	0.756865i	$-0.273270\pi$
$240$	−14.7376	+	15.4563i	−0.951307	+	0.997702i
$241$	0.371139	+	1.07233i	0.0239071	+	0.0690751i	0.956323	−	0.292312i	$-0.0944245\pi$
$241$	0.371139	+	1.07233i	0.0239071	+	0.0690751i	−0.932416	+	0.361387i	$0.882303\pi$
$242$	−11.2018	−	32.3656i	−0.720081	−	2.08054i
$243$	0.690079	−	0.723734i	0.0442686	−	0.0464276i
$244$	−6.25802	−	13.7031i	−0.400628	−	0.877254i
$245$	17.1049	+	13.2301i	1.09279	+	0.845239i
$246$	−9.80894	−	2.88016i	−0.625395	−	0.183633i
$247$	16.5049	+	20.9876i	1.05018	+	1.33541i
$248$	−6.17113	+	4.39444i	−0.391867	+	0.279047i
$249$	−6.62115	+	8.41947i	−0.419598	+	0.533562i
$250$	−0.170571	+	3.58072i	−0.0107879	+	0.226465i
$251$	9.42697	+	10.8793i	0.595025	+	0.686696i	0.970766	−	0.240029i	$-0.0771570\pi$
$251$	9.42697	+	10.8793i	0.595025	+	0.686696i	−0.375740	+	0.926725i	$0.622612\pi$
$252$	−11.7288	−	1.07236i	−0.738844	−	0.0675522i
$253$	22.8460	−	6.41817i	1.43632	−	0.403507i
$254$	12.9756	+	22.4744i	0.814160	+	1.41017i
$255$	0.576727	+	2.99234i	0.0361160	+	0.187388i
$256$	26.4486	−	13.6352i	1.65304	−	0.852200i
$257$	1.11805	+	2.79274i	0.0697418	+	0.174206i	0.959144	−	0.282920i	$-0.0913030\pi$
$257$	1.11805	+	2.79274i	0.0697418	+	0.174206i	−0.889402	+	0.457126i	$0.848879\pi$
$258$	−8.24008	+	18.0433i	−0.513005	+	1.12332i
$259$	−15.3971	−	23.7477i	−0.956727	−	1.47561i
$260$	−16.9816	+	57.8341i	−1.05315	+	3.58672i
$261$	1.30957	+	0.675130i	0.0810603	+	0.0417895i
$262$	−0.985023	+	10.3156i	−0.0608549	+	0.637302i
$263$	−26.4011	−	6.40483i	−1.62796	−	0.394939i	−0.685185	−	0.728369i	$-0.740279\pi$
$263$	−26.4011	−	6.40483i	−1.62796	−	0.394939i	−0.942775	+	0.333430i	$0.891794\pi$
$264$	−30.2549	−	5.83115i	−1.86206	−	0.358882i
$265$	20.7621	+	17.9905i	1.27541	+	1.10514i
$266$	13.2332	−	38.7384i	0.811379	−	2.37520i
$267$	12.3498	−	5.63998i	0.755797	−	0.345161i
$268$	−16.4546	+	31.9175i	−1.00512	+	1.94967i
$269$	−3.03742	−	3.18555i	−0.185194	−	0.194226i	0.624592	−	0.780951i	$-0.285265\pi$
$269$	−3.03742	−	3.18555i	−0.185194	−	0.194226i	−0.809786	+	0.586725i	$0.800417\pi$
$270$	−2.91626	+	7.28447i	−0.177478	+	0.443319i
$271$	1.01360	+	10.6149i	0.0615716	+	0.644807i	0.972603	+	0.232471i	$0.0746809\pi$
$271$	1.01360	+	10.6149i	0.0615716	+	0.644807i	−0.911032	+	0.412336i	$0.864713\pi$
$272$	−0.970550	+	6.75032i	−0.0588482	+	0.409298i
$273$	−10.7485	+	4.35333i	−0.650532	+	0.263476i
$274$	−27.6459	+	23.9553i	−1.67015	+	1.44719i
$275$	19.4683	−	11.2400i	1.17398	−	0.677799i
$276$	5.27614	−	20.6867i	0.317586	−	1.24519i
$277$	−2.12753	+	3.68499i	−0.127831	+	0.221410i	−0.922836	−	0.385193i	$-0.874135\pi$
$277$	−2.12753	+	3.68499i	−0.127831	+	0.221410i	0.795005	+	0.606603i	$0.207468\pi$
$278$	−44.6202	−	15.4432i	−2.67614	−	0.926221i
$279$	−0.657760	+	1.02349i	−0.0393791	+	0.0612750i
$280$	48.7746	−	14.5349i	2.91484	−	0.868629i
$281$	10.1087	+	4.61650i	0.603036	+	0.275397i	0.693448	−	0.720507i	$-0.256091\pi$
$281$	10.1087	+	4.61650i	0.603036	+	0.275397i	−0.0904114	+	0.995905i	$0.528818\pi$
$282$	−15.4871	+	12.1792i	−0.922242	+	0.725259i
$283$	20.7873	−	19.8207i	1.23568	−	1.17822i	0.258451	−	0.966024i	$-0.416788\pi$
$283$	20.7873	−	19.8207i	1.23568	−	1.17822i	0.977228	−	0.212193i	$-0.0680605\pi$
$284$	−1.94735	−	40.8799i	−0.115554	−	2.42578i
$285$	−15.3287	−	10.9155i	−0.907993	−	0.646579i
$286$	−52.8567	+	15.5201i	−3.12548	+	0.917724i
$287$	7.37940	+	7.67720i	0.435592	+	0.453171i
$288$	−3.34353	+	3.85864i	−0.197020	+	0.227373i
$289$	−11.5992	−	11.0598i	−0.682305	−	0.650577i
$290$	−11.5084	−	1.09892i	−0.675795	−	0.0645306i
$291$	−9.39527	+	0.447552i	−0.550760	+	0.0262359i
$292$	−8.59378	+	2.08483i	−0.502913	+	0.122005i
$293$	−3.82661	−	26.6147i	−0.223553	−	1.55485i	−0.724443	−	0.689335i	$-0.757903\pi$
$293$	−3.82661	−	26.6147i	−0.223553	−	1.55485i	0.500890	−	0.865511i	$-0.333006\pi$
$294$	14.5656	+	10.1965i	0.849485	+	0.594672i
$295$	16.3622	+	2.35253i	0.952643	+	0.136969i
$296$	−66.5358	−	3.16949i	−3.86731	−	0.184223i
$297$	−4.85871	+	0.936440i	−0.281931	+	0.0543378i
$298$	−2.55217	−	1.47350i	−0.147843	−	0.0853574i
$299$	−4.71594	−	20.4849i	−0.272730	−	1.18467i
$300$		−	20.2240i		−	1.16764i
$301$	16.7822	−	12.0526i	0.967307	−	0.694699i
$302$	35.1704	+	22.6027i	2.02383	+	1.30064i
$303$	−0.260591	+	0.104325i	−0.0149706	+	0.00599331i
$304$	−24.4276	−	34.3037i	−1.40102	−	1.96745i
$305$	9.70528	+	3.88541i	0.555723	+	0.222478i
$306$	0.590726	+	2.43501i	0.0337696	+	0.139200i
$307$	4.69300	+	7.30246i	0.267844	+	0.416773i	0.948957	−	0.315405i	$-0.102140\pi$
$307$	4.69300	+	7.30246i	0.267844	+	0.416773i	−0.681113	+	0.732178i	$0.738504\pi$
$308$	44.1965	+	37.9862i	2.51833	+	2.16447i
$309$	−0.560929	−	1.91035i	−0.0319101	−	0.108676i
$310$	1.80665	−	9.37382i	0.102611	−	0.532397i
$311$	−3.23731	+	1.12044i	−0.183571	+	0.0635346i	−0.417307	−	0.908766i	$-0.637026\pi$
$311$	−3.23731	+	1.12044i	−0.183571	+	0.0635346i	0.233736	+	0.972300i	$0.424905\pi$
$312$	−6.43468	+	26.5241i	−0.364292	+	1.50163i
$313$	−10.8370	+	15.2185i	−0.612545	+	0.860199i	−0.998044	−	0.0625092i	$-0.980090\pi$
$313$	−10.8370	+	15.2185i	−0.612545	+	0.860199i	0.385500	+	0.922708i	$0.374029\pi$
$314$	4.42846	−	2.84600i	0.249912	−	0.160609i
$315$	6.40422	−	5.07818i	0.360837	−	0.286123i
$316$	40.5239	−	5.82645i	2.27964	−	0.327763i
$317$	14.3493	−	1.37019i	0.805935	−	0.0769575i	0.316048	−	0.948743i	$-0.397644\pi$
$317$	14.3493	−	1.37019i	0.805935	−	0.0769575i	0.489887	+	0.871786i	$0.337038\pi$
$318$	17.7555	+	13.9630i	0.995676	+	0.783009i
$319$	−3.34063	−	6.47992i	−0.187039	−	0.362806i
$320$	−0.866919	+	2.50480i	−0.0484622	+	0.140022i
$321$	3.17958			0.177467
$322$	−22.4195	+	23.1531i	−1.24939	+	1.29027i
$323$	−6.00915			−0.334358
$324$	−1.45596	+	4.20672i	−0.0808868	+	0.233707i
$325$	−9.12474	−	17.6995i	−0.506149	−	0.981793i
$326$	10.4170	+	8.19201i	0.576944	+	0.453714i
$327$	18.9041	−	1.80512i	1.04540	−	0.0998233i
$328$	24.8073	−	3.56675i	1.36975	−	0.196941i
$329$	20.3019	−	3.00239i	1.11928	−	0.165527i
$330$	32.6622	−	20.9907i	1.79800	−	1.15550i
$331$	3.17644	−	4.46069i	0.174593	−	0.245181i	−0.718002	−	0.696041i	$-0.754943\pi$
$331$	3.17644	−	4.46069i	0.174593	−	0.245181i	0.892595	+	0.450860i	$0.148883\pi$
$332$	11.2412	−	46.3369i	0.616942	−	2.54307i
$333$	−10.1089	+	3.49874i	−0.553966	+	0.191730i
$334$	−5.70230	+	29.5863i	−0.312016	+	1.61889i
$335$	−7.02066	−	23.9102i	−0.383579	−	1.30635i
$336$	17.2605	−	6.05181i	0.941640	−	0.330153i
$337$	−14.0533	−	21.8673i	−0.765531	−	1.19119i	−0.976882	−	0.213779i	$-0.931423\pi$
$337$	−14.0533	−	21.8673i	−0.765531	−	1.19119i	0.211351	−	0.977410i	$-0.432214\pi$
$338$	3.71980	+	15.3332i	0.202331	+	0.834018i
$339$	12.7978	+	5.12347i	0.695082	+	0.278269i
$340$	−7.86890	−	11.0503i	−0.426751	−	0.599288i
$341$	5.58882	−	2.23743i	0.302651	−	0.121163i
$342$	−13.0163	−	8.36505i	−0.703840	−	0.452330i
$343$	−7.89638	−	16.7525i	−0.426365	−	0.904551i
$344$		−	48.6285i		−	2.62187i
$345$	7.25667	+	12.9164i	0.390686	+	0.695395i
$346$	51.2315	+	29.5785i	2.75422	+	1.59015i
$347$	3.88835	−	0.749419i	0.208738	−	0.0402309i	−0.0838103	−	0.996482i	$-0.526709\pi$
$347$	3.88835	−	0.749419i	0.208738	−	0.0402309i	0.292548	+	0.956251i	$0.405497\pi$
$348$	−6.55129	−	0.312076i	−0.351186	−	0.0167291i
$349$	15.4178	+	2.21674i	0.825295	+	0.118660i	0.542006	−	0.840375i	$-0.317665\pi$
$349$	15.4178	+	2.21674i	0.825295	+	0.118660i	0.283290	+	0.959034i	$0.408574\pi$
$350$	−15.1589	+	26.5016i	−0.810275	+	1.41657i
$351$	0.623784	+	4.33852i	0.0332951	+	0.231573i
$352$	24.5516	−	5.95616i	1.30861	−	0.317464i
$353$	−34.9374	+	1.66427i	−1.85953	+	0.0885803i	−0.947155	−	0.320777i	$-0.896056\pi$
$353$	−34.9374	+	1.66427i	−1.85953	+	0.0885803i	−0.912374	+	0.409357i	$0.865753\pi$
$354$	13.5301	+	1.29196i	0.719115	+	0.0686671i
$355$	20.5549	+	19.5990i	1.09094	+	1.04021i
$356$	−39.5782	+	45.6757i	−2.09764	+	2.42081i
$357$	0.725230	−	2.50718i	0.0383832	−	0.132694i
$358$	16.1294	−	4.73603i	0.852468	−	0.250307i
$359$	5.26440	+	3.74877i	0.277845	+	0.197852i	0.710481	−	0.703716i	$-0.248477\pi$
$359$	5.26440	+	3.74877i	0.277845	+	0.197852i	−0.432637	+	0.901568i	$0.642417\pi$
$360$	−0.915296	−	19.2144i	−0.0482404	−	1.01269i
$361$	13.1046	−	12.4952i	0.689716	−	0.657643i
$362$	−39.4038	+	30.9875i	−2.07102	+	1.62867i
$363$	12.2655	+	5.60146i	0.643771	+	0.294000i
$364$	35.4735	−	37.5045i	1.85932	−	1.96577i
$365$	3.31776	−	5.16253i	0.173659	−	0.270219i
$366$	8.12282	+	2.81134i	0.424587	+	0.146951i
$367$	10.9869	−	19.0299i	0.573512	−	0.993351i	−0.422690	−	0.906274i	$-0.638914\pi$
$367$	10.9869	−	19.0299i	0.573512	−	0.993351i	0.996202	−	0.0870770i	$-0.0277526\pi$
$368$	5.89239	+	32.6269i	0.307162	+	1.70080i
$369$	3.48561	−	2.01242i	0.181453	−	0.104762i
$370$	63.4350	−	54.9667i	3.29783	−	2.85758i
$371$	−8.83253	−	21.8079i	−0.458562	−	1.13221i
$372$	0.770763	−	5.36077i	0.0399622	−	0.277943i
$373$	1.74523	+	18.2769i	0.0903645	+	0.946340i	0.921010	+	0.389538i	$0.127365\pi$
$373$	1.74523	+	18.2769i	0.0903645	+	0.946340i	−0.830646	+	0.556801i	$0.812028\pi$
$374$	4.60795	−	11.5101i	0.238271	−	0.595173i
$375$	−0.973934	−	1.02143i	−0.0502937	−	0.0527466i
$376$	22.1330	−	42.9320i	1.14142	−	2.21405i
$377$	−5.87431	+	2.68271i	−0.302543	+	0.138167i
$378$	5.06103	−	4.42119i	0.260311	−	0.227401i
$379$	−21.1617	−	18.3367i	−1.08700	−	0.941895i	−0.0884734	−	0.996079i	$-0.528199\pi$
$379$	−21.1617	−	18.3367i	−1.08700	−	0.941895i	−0.998531	+	0.0541838i	$0.982744\pi$
$380$	82.2555	+	15.8535i	4.21962	+	0.813265i
$381$	−9.92902	−	2.40875i	−0.508679	−	0.123404i
$382$	−1.87810	+	19.6683i	−0.0960919	+	1.00632i
$383$	−18.9808	−	9.78527i	−0.969873	−	0.500004i	−0.100917	−	0.994895i	$-0.532178\pi$
$383$	−18.9808	−	9.78527i	−0.969873	−	0.500004i	−0.868955	+	0.494891i	$0.835208\pi$
$384$	−3.49089	+	11.8889i	−0.178144	+	0.606701i
$385$	−40.3884	+	2.08685i	−2.05838	+	0.106356i
$386$	3.95268	−	8.65515i	0.201186	−	0.440536i
$387$	−2.90246	−	7.24998i	−0.147540	−	0.368537i
$388$	37.2164	−	19.1864i	1.88938	−	0.974042i
$389$	−1.46763	−	7.61480i	−0.0744120	−	0.386086i	−0.999972	−	0.00748501i	$-0.997617\pi$
$389$	−1.46763	−	7.61480i	−0.0744120	−	0.386086i	0.925560	−	0.378601i	$-0.123595\pi$
$390$	−17.1962	−	29.7847i	−0.870763	−	1.50821i
$391$	4.28009	+	2.01564i	0.216454	+	0.101935i
$392$	−42.8658	−	7.90449i	−2.16505	−	0.399237i
$393$	−2.67167	−	3.08328i	−0.134768	−	0.155531i
$394$	0.505359	−	10.6088i	0.0254596	−	0.534463i
$395$	−17.5626	+	22.3326i	−0.883668	+	1.12368i
$396$	17.9426	−	12.7768i	0.901648	−	0.642061i
$397$	8.02746	+	10.2077i	0.402886	+	0.512312i	0.944588	−	0.328259i	$-0.106462\pi$
$397$	8.02746	+	10.2077i	0.402886	+	0.512312i	−0.541701	+	0.840571i	$0.682220\pi$
$398$	−23.3078	−	6.84378i	−1.16831	−	0.343048i
$399$	7.44269	+	14.2953i	0.372600	+	0.715659i
$400$	13.0473	+	28.5696i	0.652364	+	1.42848i
$401$	−17.5210	+	18.3755i	−0.874958	+	0.917630i	−0.997193	−	0.0748715i	$-0.976145\pi$
$401$	−17.5210	+	18.3755i	−0.874958	+	0.917630i	0.122235	+	0.992501i	$0.460994\pi$
$402$	−6.70140	−	19.3624i	−0.334235	−	0.965709i
$403$	−1.74414	−	5.03936i	−0.0868817	−	0.251028i
$404$	0.862284	−	0.904338i	0.0429002	−	0.0449925i
$405$	−1.28330	−	2.81003i	−0.0637676	−	0.139632i
$406$	8.35090	+	5.31944i	0.414448	+	0.263999i
$407$	50.7874	+	14.9125i	2.51744	+	0.739187i
$408$	−3.79717	−	4.82850i	−0.187988	−	0.239046i
$409$	−10.8790	+	7.74689i	−0.537931	+	0.383059i	−0.816490	−	0.577360i	$-0.804083\pi$
$409$	−10.8790	+	7.74689i	−0.537931	+	0.383059i	0.278558	+	0.960419i	$0.410143\pi$
$410$	−19.5221	+	24.8243i	−0.964126	+	1.22599i
$411$	0.685271	−	14.3856i	0.0338019	−	0.709590i
$412$	5.80406	+	6.69824i	0.285946	+	0.329999i
$413$	−11.5653	−	8.16571i	−0.569093	−	0.401808i
$414$	6.46513	+	10.3241i	0.317744	+	0.507404i
$415$	16.5443	+	28.6556i	0.812128	+	1.40665i
$416$	−4.23526	−	21.9746i	−0.207651	−	1.07739i
$417$	16.5230	−	8.51818i	0.809133	−	0.417137i
$418$	28.4544	+	71.0757i	1.39175	+	3.47643i
$419$	5.39086	−	11.8043i	0.263361	−	0.576680i	−0.731042	−	0.682332i	$-0.760966\pi$
$419$	5.39086	−	11.8043i	0.263361	−	0.576680i	0.994403	+	0.105652i	$0.0336931\pi$
$420$	−16.5417	+	32.4059i	−0.807153	+	1.58125i
$421$	6.53108	−	22.2428i	0.318306	−	1.08405i	−0.632577	−	0.774497i	$-0.718003\pi$
$421$	6.53108	−	22.2428i	0.318306	−	1.08405i	0.950883	−	0.309552i	$-0.100179\pi$
$422$	−25.6809	−	13.2394i	−1.25012	−	0.644484i
$423$	0.737335	−	7.72172i	0.0358505	−	0.375443i
$424$	−53.8151	−	13.0554i	−2.61349	−	0.634026i
$425$	4.40070	+	0.848165i	0.213465	+	0.0411420i
$426$	17.6482	+	15.2923i	0.855059	+	0.740913i
$427$	−5.89046	−	6.74294i	−0.285059	−	0.326314i
$428$	−12.8750	+	5.87981i	−0.622336	+	0.284211i
$429$	9.93816	−	19.2773i	0.479819	−	0.930718i
$430$	42.2857	+	44.3480i	2.03920	+	2.13865i
$431$	3.52482	−	8.80457i	0.169785	−	0.424101i	−0.818934	−	0.573888i	$-0.805434\pi$
$431$	3.52482	−	8.80457i	0.169785	−	0.424101i	0.988718	+	0.149787i	$0.0478587\pi$
$432$	−0.657146	−	6.88194i	−0.0316169	−	0.331108i
$433$	3.82687	−	26.6165i	0.183908	−	1.27911i	−0.663505	−	0.748171i	$-0.730932\pi$
$433$	3.82687	−	26.6165i	0.183908	−	1.27911i	0.847413	−	0.530934i	$-0.178159\pi$
$434$	−5.02816	+	6.44704i	−0.241359	+	0.309468i
$435$	3.43978	−	2.98059i	0.164925	−	0.142908i
$436$	−73.2097	+	42.2676i	−3.50611	+	2.02425i
$437$	−27.7174	+	9.23058i	−1.32590	+	0.441559i
$438$	2.52286	−	4.36971i	0.120547	−	0.208793i
$439$	−21.6907	−	7.50721i	−1.03524	−	0.358300i	−0.243980	−	0.969780i	$-0.578453\pi$
$439$	−21.6907	−	7.50721i	−1.03524	−	0.358300i	−0.791259	+	0.611481i	$0.790574\pi$
$440$	−51.4600	+	80.0733i	−2.45326	+	3.81735i
$441$	−6.86262	+	1.38003i	−0.326791	+	0.0657157i
$442$	−9.99006	−	4.56231i	−0.475179	−	0.217007i
$443$	30.6409	−	24.0963i	1.45579	−	1.14485i	0.494549	−	0.869150i	$-0.335333\pi$
$443$	30.6409	−	24.0963i	1.45579	−	1.14485i	0.961244	−	0.275698i	$-0.0889090\pi$
$444$	34.4639	−	32.8612i	1.63558	−	1.55953i
$445$	−1.99564	−	41.8937i	−0.0946025	−	1.98595i
$446$	41.7053	+	29.6982i	1.97480	+	1.40625i
$447$	1.11324	−	0.326877i	0.0526544	−	0.0154607i
$448$	1.63663	−	1.57314i	0.0773234	−	0.0743240i
$449$	19.0052	−	21.9331i	0.896910	−	1.03509i	−0.102277	−	0.994756i	$-0.532613\pi$
$449$	19.0052	−	21.9331i	0.896910	−	1.03509i	0.999186	−	0.0403328i	$-0.0128418\pi$
$450$	8.35155	+	7.96319i	0.393696	+	0.375388i
$451$	−19.8252	−	1.89308i	−0.933533	−	0.0891416i
$452$	−61.2965	+	2.91991i	−2.88314	+	0.137341i
$453$	−15.9956	+	3.88049i	−0.751539	+	0.182321i
$454$	8.25222	+	57.3955i	0.387296	+	2.69370i
$455$	0.144145	+	35.8241i	0.00675764	+	1.67946i
$456$	37.5456	+	5.39824i	1.75823	+	0.252796i
$457$	31.8972	+	1.51945i	1.49209	+	0.0710769i	0.777684	−	0.628656i	$-0.216395\pi$
$457$	31.8972	+	1.51945i	1.49209	+	0.0710769i	0.714405	+	0.699733i	$0.246698\pi$
$458$	22.6723	−	4.36972i	1.05940	−	0.204184i
$459$	−0.854312	−	0.493237i	−0.0398759	−	0.0230223i
$460$	−53.2698	−	38.8827i	−2.48372	−	1.81291i
$461$			1.09265i			0.0508899i	0.999676	+	0.0254449i	$0.00810025\pi$
$461$			1.09265i			0.0508899i	−0.999676	+	0.0254449i	$0.991900\pi$
$462$	−33.0888	+	3.29400i	−1.53943	+	0.153251i
$463$	−0.788639	−	0.506827i	−0.0366512	−	0.0235543i	0.522187	−	0.852831i	$-0.325116\pi$
$463$	−0.788639	−	0.506827i	−0.0366512	−	0.0235543i	−0.558838	+	0.829277i	$0.688753\pi$
$464$	9.45604	−	3.78563i	0.438986	−	0.175743i
$465$	2.18009	+	3.06151i	0.101099	+	0.141974i
$466$	−6.25249	−	2.50312i	−0.289641	−	0.115955i
$467$	3.36316	+	13.8631i	0.155628	+	0.641508i	0.995166	+	0.0982071i	$0.0313108\pi$
$467$	3.36316	+	13.8631i	0.155628	+	0.641508i	−0.839538	+	0.543301i	$0.817174\pi$
$468$	−10.5488	−	16.4143i	−0.487621	−	0.758753i
$469$	−3.95473	+	20.9728i	−0.182612	+	0.968436i
$470$	17.1475	+	58.3989i	0.790954	+	2.69374i
$471$	−0.392222	+	2.03504i	−0.0180726	+	0.0937698i
$472$	−31.4880	+	10.8981i	−1.44935	+	0.501626i
$473$	−9.11016	+	37.5526i	−0.418886	+	1.72667i
$474$	−13.5502	+	19.0286i	−0.622380	+	0.874010i
$475$	−23.2815	+	14.9621i	−1.06823	+	0.686508i
$476$	1.69973	+	11.4934i	0.0779071	+	0.526799i
$477$	−8.80247	+	1.26560i	−0.403037	+	0.0579480i
$478$	−32.5979	+	3.11273i	−1.49099	+	0.142373i
$479$	−14.7879	−	11.6293i	−0.675674	−	0.531356i	0.220317	−	0.975428i	$-0.429291\pi$
$479$	−14.7879	−	11.6293i	−0.675674	−	0.531356i	−0.895991	+	0.444072i	$0.853533\pi$
$480$	7.22741	+	14.0192i	0.329884	+	0.639887i
$481$	15.3354	−	44.3088i	0.699235	−	2.02031i
$482$	2.88224			0.131282
$483$	−0.506101	−	12.6785i	−0.0230284	−	0.576891i
$484$	−60.0248			−2.72840
$485$	−9.50353	+	27.4586i	−0.431533	+	1.24683i
$486$	−1.16389	−	2.25763i	−0.0527952	−	0.102408i
$487$	−11.6838	−	9.18821i	−0.529442	−	0.416357i	0.317329	−	0.948315i	$-0.397214\pi$
$487$	−11.6838	−	9.18821i	−0.529442	−	0.416357i	−0.846771	+	0.531958i	$0.821456\pi$
$488$	−20.9771	+	2.00307i	−0.949589	+	0.0906748i
$489$	−5.16434	+	0.742520i	−0.233540	+	0.0335779i
$490$	45.9660	−	30.0660i	2.07653	−	1.35824i
$491$	10.8703	−	6.98593i	0.490571	−	0.315271i	−0.271864	−	0.962336i	$-0.587640\pi$
$491$	10.8703	−	6.98593i	0.490571	−	0.315271i	0.762435	+	0.647065i	$0.224004\pi$
$492$	−10.3927	+	14.5946i	−0.468541	+	0.657974i
$493$	0.342658	−	1.41246i	0.0154325	−	0.0636138i
$494$	64.0879	−	22.1811i	2.88345	−	0.997973i
$495$	−2.89285	+	15.0095i	−0.130024	+	0.674628i
$496$	2.36961	+	8.07016i	0.106399	+	0.362361i
$497$	−8.04811	−	22.9542i	−0.361007	−	1.02964i
$498$	14.7087	+	22.8872i	0.659112	+	1.02560i
$499$	−3.20118	−	13.1954i	−0.143304	−	0.590709i	−0.997494	−	0.0707478i	$-0.977461\pi$
$499$	−3.20118	−	13.1954i	−0.143304	−	0.590709i	0.854190	−	0.519961i	$-0.174054\pi$
$500$	5.83261	+	2.33502i	0.260842	+	0.104425i
$501$	−6.88097	−	9.66296i	−0.307419	−	0.431709i
$502$	33.9450	−	13.5895i	1.51504	−	0.606530i
$503$	6.42204	+	4.12720i	0.286345	+	0.184023i	0.675926	−	0.736969i	$-0.263744\pi$
$503$	6.42204	+	4.12720i	0.286345	+	0.184023i	−0.389581	+	0.920992i	$0.627380\pi$
$504$	−6.78357	+	15.0135i	−0.302164	+	0.668756i
$505$			0.867132i			0.0385869i
$506$	3.57381	−	60.1690i	0.158875	−	2.67484i
$507$	−5.37960	−	3.10591i	−0.238916	−	0.137938i
$508$	44.6597	−	8.60746i	1.98146	−	0.381894i
$509$	15.6186	+	0.744007i	0.692283	+	0.0329775i	0.390775	−	0.920486i	$-0.372207\pi$
$509$	15.6186	+	0.744007i	0.692283	+	0.0329775i	0.301508	+	0.953464i	$0.402510\pi$
$510$	7.66162	+	1.10157i	0.339262	+	0.0487785i
$511$	−4.54105	+	2.64619i	−0.200884	+	0.117061i
$512$	−7.22953	−	50.2825i	−0.319503	−	2.22219i
$513$	5.91984	−	1.43614i	0.261367	−	0.0634070i
$514$	7.63222	−	0.363567i	0.336643	−	0.0160363i
$515$	−6.12274	−	0.584651i	−0.269800	−	0.0257628i
$516$	25.1598	+	23.9899i	1.10760	+	1.05609i
$517$	−25.1348	+	29.0071i	−1.10543	+	1.27573i
$518$	−69.7925	+	17.2291i	−3.06651	+	0.757004i
$519$	−22.3468	+	6.56163i	−0.980918	+	0.288023i
$520$	68.6809	+	48.9074i	3.01186	+	2.14473i
$521$	−1.76642	−	37.0818i	−0.0773884	−	1.62458i	−0.620002	−	0.784600i	$-0.712868\pi$
$521$	−1.76642	−	37.0818i	−0.0773884	−	1.62458i	0.542614	−	0.839982i	$-0.317435\pi$
$522$	2.70843	−	2.58249i	0.118545	−	0.113032i
$523$	10.2436	−	8.05565i	0.447921	−	0.352249i	−0.368577	−	0.929597i	$-0.620155\pi$
$523$	10.2436	−	8.05565i	0.447921	−	0.352249i	0.816498	+	0.577348i	$0.195912\pi$
$524$	16.5201	+	7.54447i	0.721683	+	0.329582i
$525$	−3.43281	−	11.5194i	−0.149820	−	0.502748i
$526$	−37.3062	+	58.0495i	−1.62663	+	2.53108i
$527$	1.13417	+	0.392539i	0.0494050	+	0.0170992i
$528$	−17.1038	+	29.6247i	−0.744348	+	1.28925i
$529$	22.8383	+	2.72262i	0.992969	+	0.118375i
$530$	60.4305	−	34.8896i	2.62493	−	1.51551i
$531$	−4.04405	+	3.50419i	−0.175497	+	0.152069i
$532$	−56.5730	−	44.1222i	−2.45275	−	1.91294i
$533$	−2.51063	+	17.4618i	−0.108747	+	0.756355i
$534$	−3.27799	−	34.3286i	−0.141852	−	1.48554i
$535$	3.65059	−	9.11874i	0.157829	−	0.394238i
$536$	34.6632	+	36.3537i	1.49722	+	1.57024i
$537$	−3.03267	+	5.88257i	−0.130870	+	0.253851i
$538$	−10.1696	+	4.64430i	−0.438442	+	0.200230i
$539$	31.6216	+	14.1347i	1.36204	+	0.608824i
$540$	10.3929	+	9.00547i	0.447238	+	0.387534i
$541$	−1.04543	−	0.201491i	−0.0449467	−	0.00866277i	0.166728	−	0.986003i	$-0.446680\pi$
$541$	−1.04543	−	0.201491i	−0.0449467	−	0.00866277i	−0.211675	+	0.977340i	$0.567892\pi$
$542$	26.3208	+	6.38536i	1.13058	+	0.274275i
$543$	1.87600	−	19.6464i	0.0805070	−	0.843108i
$544$	4.47676	+	2.30793i	0.191939	+	0.0989517i
$545$	16.5276	−	56.2877i	0.707963	−	2.41110i
$546$	1.51992	+	29.4162i	0.0650466	+	1.25890i
$547$	−17.8046	+	38.9866i	−0.761269	+	1.66695i	−0.0162832	+	0.999867i	$0.505183\pi$
$547$	−17.8046	+	38.9866i	−0.761269	+	1.66695i	−0.744986	+	0.667080i	$0.767544\pi$
$548$	23.8276	+	59.5186i	1.01787	+	2.54251i
$549$	−3.00790	+	1.55068i	−0.128374	+	0.0661815i
$550$	−10.8061	−	56.0673i	−0.460773	−	2.39072i
$551$	4.48750	+	7.77258i	0.191174	+	0.331123i
$552$	−24.9316	−	16.4388i	−1.06116	−	0.699683i
$553$	22.0930	−	10.1972i	0.939489	−	0.433627i
$554$	7.07761	+	8.16800i	0.300699	+	0.347025i
$555$	−1.57239	+	33.0086i	−0.0667443	+	1.40114i
$556$	−51.1539	+	65.0475i	−2.16941	+	2.75863i
$557$	14.8945	−	10.6063i	0.631100	−	0.449404i	−0.219216	−	0.975676i	$-0.570350\pi$
$557$	14.8945	−	10.6063i	0.631100	−	0.449404i	0.850316	+	0.526272i	$0.176411\pi$
$558$	1.91025	+	2.42908i	0.0808675	+	0.102831i
$559$	32.8430	+	9.64358i	1.38911	+	0.407880i
$560$	2.46144	−	56.4500i	0.104015	−	2.38545i
$561$	2.02773	+	4.44010i	0.0856106	+	0.187461i
$562$	19.4788	−	20.4288i	0.821663	−	0.861735i
$563$	−3.95848	−	11.4373i	−0.166830	−	0.482023i	0.830336	−	0.557264i	$-0.188149\pi$
$563$	−3.95848	−	11.4373i	−0.166830	−	0.482023i	−0.997165	+	0.0752405i	$0.976028\pi$
$564$	11.2937	+	32.6309i	0.475549	+	1.37401i
$565$	29.3873	−	30.8206i	1.23633	−	1.29663i
$566$	−30.3064	−	66.3617i	−1.27387	−	2.78939i
$567$	−0.115255	+	2.64324i	−0.00484027	+	0.111006i
$568$	−54.9296	−	16.1288i	−2.30480	−	0.676749i
$569$	4.01793	+	5.10921i	0.168440	+	0.214189i	0.862944	−	0.505300i	$-0.168618\pi$
$569$	4.01793	+	5.10921i	0.168440	+	0.214189i	−0.694503	+	0.719490i	$0.744376\pi$
$570$	−38.9347	+	27.7253i	−1.63080	+	1.16128i
$571$	−26.7051	+	33.9584i	−1.11758	+	1.42111i	−0.222649	+	0.974899i	$0.571470\pi$
$571$	−26.7051	+	33.9584i	−1.11758	+	1.42111i	−0.894926	+	0.446214i	$0.852772\pi$
$572$	−4.59388	+	96.4374i	−0.192080	+	4.03225i
$573$	−5.09396	−	5.87874i	−0.212803	−	0.245588i
$574$	24.5580	−	11.3349i	1.02503	−	0.473109i
$575$	21.6012	−	2.84767i	0.900834	−	0.118756i
$576$	−0.429007	−	0.743062i	−0.0178753	−	0.0309609i
$577$	3.34555	+	17.3584i	0.139277	+	0.722638i	0.982673	+	0.185346i	$0.0593405\pi$
$577$	3.34555	+	17.3584i	0.139277	+	0.722638i	−0.843396	+	0.537292i	$0.819447\pi$
$578$	−36.1828	+	18.6535i	−1.50501	+	0.775885i
$579$	1.39228	+	3.47774i	0.0578610	+	0.144530i
$580$	−8.41680	+	18.4302i	−0.349488	+	0.765273i
$581$	−1.46230	−	28.3011i	−0.0606665	−	1.17413i
$582$	−6.73086	+	22.9232i	−0.279003	+	0.950197i
$583$	39.1120	+	20.1636i	1.61985	+	0.835093i
$584$	−1.17583	+	12.3138i	−0.0486561	+	0.509550i
$585$	13.1587	+	3.19226i	0.544044	+	0.131984i
$586$	−67.0620	−	12.9251i	−2.77031	−	0.533933i
$587$	−12.2415	−	10.6073i	−0.505260	−	0.437810i	0.364560	−	0.931180i	$-0.381219\pi$
$587$	−12.2415	−	10.6073i	−0.505260	−	0.437810i	−0.869820	+	0.493370i	$0.835765\pi$
$588$	25.2366	−	18.2788i	1.04074	−	0.753804i
$589$	−6.74143	+	3.07871i	−0.277776	+	0.126856i
$590$	19.2396	−	37.3197i	0.792083	−	1.53643i
$591$	2.88552	+	3.02625i	0.118695	+	0.124483i
$592$	−27.4855	+	68.6555i	−1.12965	+	2.82172i
$593$	2.07946	+	21.7771i	0.0853932	+	0.894278i	0.932096	+	0.362212i	$0.117978\pi$
$593$	2.07946	+	21.7771i	0.0853932	+	0.894278i	−0.846703	+	0.532066i	$0.821416\pi$
$594$	−1.78864	+	12.4403i	−0.0733889	+	0.510431i
$595$	−6.35771	−	4.95849i	−0.260641	−	0.203278i
$596$	−3.90334	+	3.38227i	−0.159887	+	0.138543i
$597$	8.28242	−	4.78186i	0.338977	−	0.195708i
$598$	−53.0876	−	5.69820i	−2.17091	−	0.233017i
$599$	5.71284	−	9.89494i	0.233420	−	0.404296i	−0.725392	−	0.688336i	$-0.758341\pi$
$599$	5.71284	−	9.89494i	0.233420	−	0.404296i	0.958812	+	0.284040i	$0.0916748\pi$
$600$	−26.7339	−	9.25269i	−1.09141	−	0.377740i
$601$	4.62510	−	7.19679i	0.188662	−	0.293563i	−0.734019	−	0.679129i	$-0.762357\pi$
$601$	4.62510	−	7.19679i	0.188662	−	0.293563i	0.922680	+	0.385566i	$0.125994\pi$
$602$	−14.9880	−	50.2948i	−0.610864	−	2.04986i
$603$	7.33771	+	3.35102i	0.298815	+	0.136464i
$604$	57.5947	−	45.2930i	2.34349	−	1.84294i
$605$	30.1470	−	28.7451i	1.22565	−	1.16865i
$606$	0.0339245	+	0.712164i	0.00137809	+	0.0289297i
$607$	21.2987	+	15.1668i	0.864489	+	0.615600i	0.923900	−	0.382634i	$-0.124983\pi$
$607$	21.2987	+	15.1668i	0.864489	+	0.615600i	−0.0594113	+	0.998234i	$0.518922\pi$
$608$	−29.8419	+	8.76236i	−1.21025	+	0.355361i
$609$	−3.78452	+	0.934254i	−0.153356	+	0.0378579i
$610$	17.3888	−	20.0677i	0.704051	−	0.812519i
$611$	24.6064	+	23.4622i	0.995469	+	0.949178i
$612$	4.37146	+	0.417424i	0.176706	+	0.0168734i
$613$	−9.70241	+	0.462183i	−0.391877	+	0.0186674i	−0.242596	−	0.970127i	$-0.577999\pi$
$613$	−9.70241	+	0.462183i	−0.391877	+	0.0186674i	−0.149281	+	0.988795i	$0.547696\pi$
$614$	21.4268	−	5.19807i	0.864713	−	0.209777i
$615$	−1.76947	−	12.3069i	−0.0713520	−	0.496264i
$616$	70.4339	−	41.0438i	2.83786	−	1.65370i
$617$	6.09204	+	0.875903i	0.245256	+	0.0352625i	0.263847	−	0.964565i	$-0.415009\pi$
$617$	6.09204	+	0.875903i	0.245256	+	0.0352625i	−0.0185904	+	0.999827i	$0.505918\pi$
$618$	−5.05139	−	0.240627i	−0.203197	−	0.00967946i
$619$	11.4353	−	2.20397i	0.459623	−	0.0885851i	0.0458164	−	0.998950i	$-0.485411\pi$
$619$	11.4353	−	2.20397i	0.459623	−	0.0885851i	0.413807	+	0.910365i	$0.364199\pi$
$620$	−14.4893	−	8.36539i	−0.581903	−	0.335962i
$621$	−4.69820	−	0.962776i	−0.188532	−	0.0386349i
$622$			8.70131i			0.348891i
$623$	−14.7904	+	32.7343i	−0.592564	+	1.31147i
$624$	25.4914	+	16.3823i	1.02047	+	0.655817i
$625$	−25.1361	+	10.0630i	−1.00544	+	0.402519i
$626$	27.5259	+	38.6548i	1.10016	+	1.54496i
$627$	−27.9827	−	11.2026i	−1.11752	−	0.447387i
$628$	−2.17507	−	8.96577i	−0.0867948	−	0.357773i
$629$	5.70516	+	8.87740i	0.227480	+	0.353965i
$630$	−6.86881	−	19.5907i	−0.273660	−	0.780513i
$631$	6.80378	+	23.1716i	0.270854	+	0.922445i	0.976795	+	0.214175i	$0.0687061\pi$
$631$	6.80378	+	23.1716i	0.270854	+	0.922445i	−0.705941	+	0.708271i	$0.749476\pi$
$632$	10.8381	−	56.2336i	0.431118	−	2.23685i
$633$	10.7495	−	3.72044i	0.427254	−	0.147874i
$634$	8.63180	−	35.5808i	0.342813	−	1.41309i
$635$	−18.3080	+	25.7100i	−0.726530	+	1.02027i
$636$	33.3032	−	21.4027i	1.32056	−	0.848672i
$637$	13.8394	−	27.3834i	0.548335	−	1.08497i
$638$	−18.3289	+	2.63530i	−0.725650	+	0.104333i
$639$	−9.15207	+	0.873917i	−0.362050	+	0.0345716i
$640$	30.0882	+	23.6616i	1.18934	+	0.935308i
$641$	5.51760	+	10.7027i	0.217932	+	0.422729i	0.972305	−	0.233717i	$-0.0750890\pi$
$641$	5.51760	+	10.7027i	0.217932	+	0.422729i	−0.754372	+	0.656447i	$0.772059\pi$
$642$	2.64143	−	7.63192i	0.104249	−	0.301208i
$643$	5.22804			0.206174			0.103087	−	0.994672i	$-0.467128\pi$
$643$	5.22804			0.206174			0.103087	+	0.994672i	$0.467128\pi$
$644$	25.4949	+	50.4028i	1.00464	+	1.98615i
$645$	−24.1247			−0.949910
$646$	−4.99210	+	14.4237i	−0.196412	+	0.567494i
$647$	18.4251	+	35.7397i	0.724366	+	1.40507i	0.906674	+	0.421833i	$0.138613\pi$
$647$	18.4251	+	35.7397i	0.724366	+	1.40507i	−0.182307	+	0.983242i	$0.558357\pi$
$648$	4.89470	+	3.84923i	0.192282	+	0.151212i
$649$	26.3578	−	2.51686i	1.03463	−	0.0987955i
$650$	−50.0644	+	7.19818i	−1.96369	+	0.282336i
$651$	−0.470914	−	3.18427i	−0.0184566	−	0.124801i
$652$	19.5388	−	12.5568i	0.765197	−	0.491762i
$653$	−1.67235	+	2.34849i	−0.0654442	+	0.0919035i	−0.846001	−	0.533181i	$-0.820996\pi$
$653$	−1.67235	+	2.34849i	−0.0654442	+	0.0919035i	0.780557	+	0.625085i	$0.214936\pi$
$654$	11.3717	−	46.8749i	0.444670	−	1.83295i
$655$	−11.9100	+	4.12210i	−0.465363	+	0.161064i
$656$	5.26585	−	27.3218i	0.205597	−	1.06674i
$657$	0.559664	+	1.90604i	0.0218346	+	0.0743617i
$658$	9.65915	−	51.2247i	0.376553	−	1.99695i
$659$	22.9343	+	35.6864i	0.893393	+	1.39015i	0.920596	+	0.390516i	$0.127703\pi$
$659$	22.9343	+	35.6864i	0.893393	+	1.39015i	−0.0272036	+	0.999630i	$0.508660\pi$
$660$	−16.0423	−	66.1273i	−0.624446	−	2.57400i
$661$	−6.68704	−	2.67709i	−0.260096	−	0.104127i	0.237950	−	0.971277i	$-0.423525\pi$
$661$	−6.68704	−	2.67709i	−0.260096	−	0.104127i	−0.498046	+	0.867151i	$0.665949\pi$
$662$	−8.06813	−	11.3301i	−0.313577	−	0.440357i
$663$	4.01412	−	1.60701i	0.155895	−	0.0624111i
$664$	−56.1092	−	36.0592i	−2.17746	−	1.39937i
$665$	49.5428	−	4.93201i	1.92119	−	0.191255i
$666$			27.1710i			1.05285i
$667$	−0.589133	−	7.04135i	−0.0228113	−	0.272642i
$668$	45.7321	+	26.4035i	1.76943	+	1.02158i
$669$	−19.7928	+	3.81475i	−0.765234	+	0.147487i
$670$	−63.2238	−	3.01172i	−2.44255	−	0.116353i
$671$	16.5745	+	2.38305i	0.639852	+	0.0919968i
$672$	−0.0543535	−	13.5083i	−0.00209673	−	0.521096i
$673$	0.528445	+	3.67541i	0.0203700	+	0.141677i	0.997468	−	0.0711115i	$-0.0226546\pi$
$673$	0.528445	+	3.67541i	0.0203700	+	0.141677i	−0.977098	+	0.212788i	$0.931746\pi$
$674$	−64.1628	+	15.5657i	−2.47146	+	0.599569i
$675$	−4.53799	+	0.216171i	−0.174667	+	0.00832043i
$676$	27.5271	+	2.62852i	1.05873	+	0.101097i
$677$	−17.7155	−	16.8917i	−0.680863	−	0.649202i	0.268537	−	0.963269i	$-0.413460\pi$
$677$	−17.7155	−	16.8917i	−0.680863	−	0.649202i	−0.949401	+	0.314067i	$0.898308\pi$
$678$	22.9296	−	26.4622i	0.880607	−	1.01627i
$679$	17.9414	−	17.2454i	0.688528	−	0.661820i
$680$	−18.2074	+	5.34617i	−0.698221	+	0.205016i
$681$	−18.5960	−	13.2422i	−0.712601	−	0.507441i
$682$	−0.727569	−	15.2735i	−0.0278600	−	0.584854i
$683$	−16.9326	+	16.1452i	−0.647906	+	0.617777i	−0.941040	−	0.338294i	$-0.890150\pi$
$683$	−16.9326	+	16.1452i	−0.647906	+	0.617777i	0.293134	+	0.956071i	$0.405302\pi$
$684$	−21.3153	+	16.7625i	−0.815011	+	0.640931i
$685$	−40.4699	−	18.4820i	−1.54627	−	0.706160i
$686$	−46.7709	+	5.03649i	−1.78572	+	0.192294i
$687$	−4.91464	+	7.64732i	−0.187505	+	0.291764i
$688$	−51.0189	−	17.6578i	−1.94508	−	0.673198i
$689$	19.4896	−	33.7569i	0.742493	−	1.28604i
$690$	37.0316	−	6.68786i	1.40977	−	0.254603i
$691$	−36.8984	+	21.3033i	−1.40368	+	0.810415i	−0.994768	−	0.102159i	$-0.967425\pi$
$691$	−36.8984	+	21.3033i	−1.40368	+	0.810415i	−0.408912	+	0.912574i	$0.634092\pi$
$692$	78.3546	−	67.8946i	2.97859	−	2.58097i
$693$	8.05117	−	10.3231i	0.305839	−	0.392143i
$694$	1.43142	−	9.95577i	0.0543361	−	0.377916i
$695$	−5.45874	−	57.1665i	−0.207062	−	2.16845i
$696$	−3.40981	+	8.51729i	−0.129248	+	0.322847i
$697$	−2.73989	−	2.87351i	−0.103781	−	0.108842i
$698$	18.1292	−	35.1657i	0.686199	−	1.33104i
$699$	2.41194	−	1.10150i	0.0912280	−	0.0416624i
$700$	35.2026	+	40.2972i	1.33053	+	1.52309i
$701$	11.4187	+	9.89440i	0.431280	+	0.373706i	0.843277	−	0.537479i	$-0.180623\pi$
$701$	11.4187	+	9.89440i	0.431280	+	0.373706i	−0.411997	+	0.911185i	$0.635169\pi$
$702$	10.9319	+	2.10696i	0.412599	+	0.0795219i
$703$	−63.3261	−	15.3627i	−2.38839	−	0.579417i
$704$	−0.403567	+	4.22635i	−0.0152100	+	0.159286i
$705$	−21.2987	−	10.9802i	−0.802154	−	0.413539i
$706$	−25.0295	+	85.2426i	−0.941997	+	3.20815i
$707$	0.337647	−	0.661464i	0.0126985	−	0.0248769i
$708$	9.89538	−	21.6679i	0.371891	−	0.814328i
$709$	8.35121	+	20.8603i	0.313636	+	0.783426i	0.998500	+	0.0547545i	$0.0174376\pi$
$709$	8.35121	+	20.8603i	0.313636	+	0.783426i	−0.684863	+	0.728671i	$0.740138\pi$
$710$	64.1194	−	33.0559i	2.40636	−	1.24056i
$711$	−1.74053	−	9.03071i	−0.0652748	−	0.338678i
$712$	42.2707	+	73.2150i	1.58416	+	2.74385i
$713$	5.83435	+	0.0684204i	0.218498	+	0.00256236i
$714$	−5.41549	−	3.82361i	−0.202670	−	0.143095i
$715$	−43.8753	−	50.6348i	−1.64084	−	1.89363i
$716$	1.40184	−	29.4283i	0.0523893	−	1.09979i
$717$	7.96946	−	10.1340i	0.297625	−	0.378461i
$718$	13.3715	−	9.52183i	0.499022	−	0.355352i
$719$	7.29814	+	9.28034i	0.272175	+	0.346098i	0.902856	−	0.429944i	$-0.141467\pi$
$719$	7.29814	+	9.28034i	0.272175	+	0.346098i	−0.630681	+	0.776042i	$0.717224\pi$
$720$	−20.4913	−	6.01679i	−0.763665	−	0.224232i
$721$	4.44288	+	2.83007i	0.165462	+	0.105397i
$722$	−19.1055	−	41.8353i	−0.711035	−	1.55695i
$723$	−0.783063	+	0.821253i	−0.0291224	+	0.0305427i
$724$	28.7345	+	83.0230i	1.06791	+	3.08552i
$725$	−2.18928	−	6.32551i	−0.0813078	−	0.234923i
$726$	23.6347	−	24.7874i	0.877166	−	0.919945i
$727$	7.66490	+	16.7838i	0.284275	+	0.622476i	0.996866	−	0.0791035i	$-0.0252058\pi$
$727$	7.66490	+	16.7838i	0.284275	+	0.622476i	−0.712591	+	0.701580i	$0.752478\pi$
$728$	−33.3473	−	64.0507i	−1.23593	−	2.37388i
$729$	0.959493	+	0.281733i	0.0355368	+	0.0104345i
$730$	−9.63537	−	12.2524i	−0.356621	−	0.453480i
$731$	−6.27529	+	4.46862i	−0.232100	+	0.165278i
$732$	9.31225	−	11.8415i	0.344191	−	0.437674i
$733$	−0.166969	+	3.50510i	−0.00616712	+	0.129464i	0.993684	+	0.112214i	$0.0357942\pi$
$733$	−0.166969	+	3.50510i	−0.00616712	+	0.129464i	−0.999851	+	0.0172500i	$0.994509\pi$
$734$	−36.5499	−	42.1809i	−1.34908	−	1.55692i
$735$	−3.92144	+	21.2658i	−0.144644	+	0.784402i
$736$	24.1944	+	3.76871i	0.891817	+	0.138917i
$737$	−19.9575	−	34.5674i	−0.735144	−	1.27331i
$738$	−1.93472	−	10.0383i	−0.0712182	−	0.369515i
$739$	−30.7868	+	15.8717i	−1.13251	+	0.583850i	−0.919457	−	0.393190i	$-0.871371\pi$
$739$	−30.7868	+	15.8717i	−1.13251	+	0.583850i	−0.213054	+	0.977040i	$0.568341\pi$
$740$	−54.6738	−	136.569i	−2.00985	−	5.02036i
$741$	−11.0916	+	24.2872i	−0.407460	+	0.892213i
$742$	−59.6829	+	3.08378i	−2.19103	+	0.113209i
$743$	−0.336701	+	1.14670i	−0.0123524	+	0.0420683i	−0.965439	−	0.260631i	$-0.916070\pi$
$743$	−0.336701	+	1.14670i	−0.0123524	+	0.0420683i	0.953086	+	0.302699i	$0.0978877\pi$
$744$	−6.73371	−	3.47147i	−0.246870	−	0.127270i
$745$	0.340700	−	3.56797i	0.0124823	−	0.130720i
$746$	45.3197	+	10.9944i	1.65927	+	0.402535i
$747$	−10.5175	−	2.02708i	−0.384816	−	0.0741671i
$748$	−16.4216	−	14.2294i	−0.600435	−	0.520280i
$749$	−6.33543	+	5.53447i	−0.231491	+	0.202225i
$750$	−3.26083	+	1.48917i	−0.119069	+	0.0543769i
$751$	24.5485	−	47.6174i	0.895787	−	1.73758i	0.260199	−	0.965555i	$-0.416212\pi$
$751$	24.5485	−	47.6174i	0.895787	−	1.73758i	0.635587	−	0.772029i	$-0.280758\pi$
$752$	−37.0055	−	38.8102i	−1.34945	−	1.41526i
$753$	−5.35022	+	13.3642i	−0.194973	+	0.487019i
$754$	1.55921	+	16.3287i	0.0567829	+	0.594658i
$755$	−7.23626	+	50.3293i	−0.263355	+	1.83167i
$756$	−4.42129	−	10.9163i	−0.160801	−	0.397024i
$757$	−34.0506	+	29.5050i	−1.23759	+	1.07238i	−0.242838	+	0.970067i	$0.578078\pi$
$757$	−34.0506	+	29.5050i	−1.23759	+	1.07238i	−0.994752	+	0.102311i	$0.967376\pi$
$758$	−61.5936	+	35.5611i	−2.23718	+	1.29164i
$759$	16.1733	+	17.3654i	0.587055	+	0.630322i
$760$	58.5892	−	101.479i	2.12525	−	3.68105i
$761$	−4.41101	−	1.52667i	−0.159899	−	0.0553416i	0.245946	−	0.969284i	$-0.420901\pi$
$761$	−4.41101	−	1.52667i	−0.159899	−	0.0553416i	−0.405845	+	0.913942i	$0.633023\pi$
$762$	−14.0303	+	21.8315i	−0.508262	+	0.790872i
$763$	−34.5250	+	36.5017i	−1.24989	+	1.32145i
$764$	31.4981	+	14.3847i	1.13956	+	0.520420i
$765$	−2.39543	+	1.88379i	−0.0866069	+	0.0681084i
$766$	−39.2558	+	37.4303i	−1.41837	+	1.35241i
$767$	−1.11600	−	23.4278i	−0.0402965	−	0.845927i
$768$	24.2389	+	17.2604i	0.874646	+	0.622832i
$769$	−12.9216	+	3.79413i	−0.465965	+	0.136820i	−0.506283	−	0.862367i	$-0.668981\pi$
$769$	−12.9216	+	3.79413i	−0.465965	+	0.136820i	0.0403182	+	0.999187i	$0.487163\pi$
$770$	−28.5436	+	98.6777i	−1.02864	+	3.55610i
$771$	−1.96997	+	2.27347i	−0.0709468	+	0.0818769i
$772$	−12.0689	−	11.5077i	−0.434369	−	0.414170i
$773$	−2.29867	−	0.219496i	−0.0826774	−	0.00789474i	0.0536353	−	0.998561i	$-0.482919\pi$
$773$	−2.29867	−	0.219496i	−0.0826774	−	0.00789474i	−0.136313	+	0.990666i	$0.543525\pi$
$774$	−19.8133	+	0.943824i	−0.712174	+	0.0339251i
$775$	5.37151	−	1.30311i	0.192950	−	0.0468093i
$776$	−8.33539	−	57.9739i	−0.299223	−	2.08114i
$777$	14.0524	−	24.5673i	0.504128	−	0.881346i
$778$	−19.4970	−	2.80325i	−0.699001	−	0.100501i
$779$	24.4897	+	1.16659i	0.877434	+	0.0417973i
$780$	−59.1864	+	11.4072i	−2.11921	+	0.408445i
$781$	39.3969	+	22.7458i	1.40973	+	0.813910i
$782$	8.39382	−	8.59899i	0.300162	−	0.307499i
$783$			1.47335i			0.0526534i
$784$	−23.8583	+	42.1027i	−0.852083	+	1.50367i
$785$	5.38599	+	3.46137i	0.192234	+	0.123542i
$786$	−9.62026	+	3.85137i	−0.343143	+	0.137374i
$787$	2.65447	+	3.72768i	0.0946215	+	0.132877i	0.859173	−	0.511686i	$-0.170979\pi$
$787$	2.65447	+	3.72768i	0.0946215	+	0.132877i	−0.764551	+	0.644563i	$0.777039\pi$
$788$	−17.2806	−	6.91809i	−0.615594	−	0.246447i
$789$	−6.40483	−	26.4011i	−0.228018	−	0.939903i
$790$	39.0147	+	60.7081i	1.38808	+	2.15990i
$791$	−34.4182	+	12.0676i	−1.22377	+	0.429073i
$792$	−8.68066	−	29.5636i	−0.308454	−	1.05050i
$793$	2.80715	−	14.5649i	0.0996848	−	0.517214i
$794$	31.1704	−	10.7882i	1.10620	−	0.382858i
$795$	−6.47681	+	26.6978i	−0.229709	+	0.946873i
$796$	−24.6950	+	34.6793i	−0.875292	+	1.22918i
$797$	−44.8602	+	28.8299i	−1.58903	+	1.02121i	−0.616818	+	0.787106i	$0.711579\pi$
$797$	−44.8602	+	28.8299i	−1.58903	+	1.02121i	−0.972212	+	0.234102i	$0.924785\pi$
$798$	40.4959	−	5.98884i	1.43354	−	0.212003i
$799$	−7.57404	+	1.08898i	−0.267950	+	0.0385254i
$800$	23.0909	−	2.20492i	0.816388	−	0.0779556i
$801$	10.6720	+	8.39258i	0.377078	+	0.296537i
$802$	29.5511	+	57.3211i	1.04348	+	2.02408i
$803$	3.21491	−	9.28888i	0.113452	−	0.327798i
$804$	−35.9093			−1.26642
$805$	−36.9418	−	13.1052i	−1.30203	−	0.461898i
$806$	−13.5449			−0.477098
$807$	1.43961	−	4.15947i	0.0506765	−	0.146420i
$808$	−0.800929	−	1.55359i	−0.0281766	−	0.0546550i
$809$	4.83377	+	3.80132i	0.169946	+	0.133647i	0.699510	−	0.714623i	$-0.253402\pi$
$809$	4.83377	+	3.80132i	0.169946	+	0.133647i	−0.529563	+	0.848270i	$0.677644\pi$
$810$	−7.81100	+	0.745860i	−0.274451	+	0.0262069i
$811$	11.3501	−	1.63190i	0.398556	−	0.0573037i	0.0598772	−	0.998206i	$-0.480929\pi$
$811$	11.3501	−	1.63190i	0.398556	−	0.0573037i	0.338679	+	0.940902i	$0.390020\pi$
$812$	13.5969	−	10.7815i	0.477158	−	0.378358i
$813$	−8.97040	+	5.76493i	−0.314606	+	0.202185i
$814$	77.9861	−	109.516i	2.73341	−	3.83854i
$815$	−3.79990	+	15.6634i	−0.133105	+	0.548665i
$816$	−6.44466	+	2.23052i	−0.225608	+	0.0780837i
$817$	9.00291	−	46.7116i	0.314972	−	1.63423i
$818$	9.55710	+	32.5485i	0.334156	+	1.13803i
$819$	−8.79466	−	7.55888i	−0.307310	−	0.264129i
$820$	29.9236	+	46.5621i	1.04498	+	1.62602i
$821$	4.88402	+	20.1322i	0.170453	+	0.702618i	0.991317	+	0.131494i	$0.0419774\pi$
$821$	4.88402	+	20.1322i	0.170453	+	0.702618i	−0.820864	+	0.571124i	$0.806507\pi$
$822$	−33.9604	−	13.5957i	−1.18450	−	0.474204i
$823$	3.69319	+	5.18636i	0.128737	+	0.180785i	0.873913	−	0.486082i	$-0.161574\pi$
$823$	3.69319	+	5.18636i	0.128737	+	0.180785i	−0.745177	+	0.666867i	$0.767635\pi$
$824$	11.5097	−	4.60780i	0.400961	−	0.160520i
$825$	18.9114	+	12.1536i	0.658411	+	0.423135i
$826$	−29.2080	+	20.9765i	−1.01628	+	0.729867i
$827$		−	15.4469i		−	0.537140i	−0.963260	−	0.268570i	$-0.913449\pi$
$827$		−	15.4469i		−	0.537140i	0.963260	−	0.268570i	$-0.0865510\pi$
$828$	20.8047	−	4.78956i	0.723014	−	0.166449i
$829$	−4.79185	−	2.76657i	−0.166428	−	0.0960871i	0.414473	−	0.910062i	$-0.363966\pi$
$829$	−4.79185	−	2.76657i	−0.166428	−	0.0960871i	−0.580900	+	0.813975i	$0.697299\pi$
$830$	82.5260	−	15.9056i	2.86452	−	0.552091i
$831$	−4.25024	−	0.202464i	−0.147439	−	0.00702340i
$832$	3.72251	+	0.535216i	0.129055	+	0.0185553i
$833$	2.91903	+	6.25801i	0.101138	+	0.216827i
$834$	−6.71969	−	46.7365i	−0.232684	−	1.61835i
$835$	−35.6128	+	8.63958i	−1.23243	+	0.298985i
$836$	134.026	−	6.38444i	4.63538	−	0.220810i
$837$	−1.21112	−	0.115648i	−0.0418625	−	0.00399738i
$838$	−23.8554	−	22.7461i	−0.824072	−	0.785751i
$839$	18.9196	−	21.8344i	0.653177	−	0.753806i	−0.328470	−	0.944514i	$-0.606533\pi$
$839$	18.9196	−	21.8344i	0.653177	−	0.753806i	0.981647	+	0.190708i	$0.0610784\pi$
$840$	35.2690	+	36.6923i	1.21690	+	1.26600i
$841$	25.7425	−	7.55867i	0.887671	−	0.260644i
$842$	−47.9636	−	34.1547i	−1.65294	−	1.17705i
$843$	0.528777	+	11.1004i	0.0182121	+	0.382318i
$844$	−36.6477	+	34.9435i	−1.26147	+	1.20281i
$845$	−15.0840	+	11.8622i	−0.518906	+	0.408072i
$846$	−17.9219	−	8.18464i	−0.616166	−	0.281394i
$847$	−34.1895	+	10.1886i	−1.17477	+	0.350083i
$848$	−33.2383	+	51.7198i	−1.14141	+	1.77606i
$849$	27.1426	+	9.39416i	0.931533	+	0.322407i
$850$	5.69172	−	9.85836i	0.195225	−	0.338139i
$851$	39.9517	+	32.1837i	1.36953	+	1.10324i
$852$	35.4432	−	20.4631i	1.21426	−	0.701056i
$853$	36.8536	−	31.9338i	1.26184	−	1.09339i	0.270414	−	0.962744i	$-0.412839\pi$
$853$	36.8536	−	31.9338i	1.26184	−	1.09339i	0.991429	−	0.130649i	$-0.0417061\pi$
$854$	−21.0785	+	8.53713i	−0.721292	+	0.292135i
$855$	2.67808	−	18.6264i	0.0915884	−	0.637011i
$856$	1.88202	+	19.7094i	0.0643260	+	0.673652i
$857$	−1.59751	+	3.99038i	−0.0545698	+	0.136309i	−0.953148	−	0.302505i	$-0.902177\pi$
$857$	−1.59751	+	3.99038i	−0.0545698	+	0.136309i	0.898578	+	0.438814i	$0.144601\pi$
$858$	−38.0151	−	39.8691i	−1.29782	−	1.36111i
$859$	22.9475	−	44.5119i	0.782958	−	1.51873i	−0.0704681	−	0.997514i	$-0.522449\pi$
$859$	22.9475	−	44.5119i	0.782958	−	1.51873i	0.853426	−	0.521213i	$-0.174520\pi$
$860$	97.6877	−	44.6125i	3.33112	−	1.52127i
$861$	−3.44233	+	10.0770i	−0.117314	+	0.343422i
$862$	−18.2053	−	15.7750i	−0.620075	−	0.537298i
$863$	−32.7121	−	6.30474i	−1.11353	−	0.214616i	−0.400879	−	0.916131i	$-0.631295\pi$
$863$	−32.7121	−	6.30474i	−1.11353	−	0.214616i	−0.712655	+	0.701515i	$0.752507\pi$
$864$	−4.96179	−	1.20372i	−0.168804	−	0.0409513i
$865$	−6.83911	+	71.6224i	−0.232537	+	2.43524i
$866$	−60.7082	−	31.2972i	−2.06295	−	1.06352i
$867$	4.51529	−	15.3777i	0.153347	−	0.522253i
$868$	7.79535	+	12.0232i	0.264591	+	0.408092i
$869$	−18.9045	+	41.3951i	−0.641291	+	1.40423i
$870$	−4.29669	−	10.7326i	−0.145671	−	0.363869i
$871$	−31.4268	+	16.2017i	−1.06486	+	0.548972i
$872$	22.3789	+	116.113i	0.757846	+	3.93208i
$873$	−4.70296	−	8.14577i	−0.159171	−	0.275692i
$874$	−0.870135	+	74.1983i	−0.0294328	+	2.50979i
$875$	3.71854	+	0.339984i	0.125710	+	0.0114936i
$876$	−5.79097	−	6.68313i	−0.195659	−	0.225802i
$877$	−1.84118	+	38.6512i	−0.0621723	+	1.30516i	0.725139	+	0.688602i	$0.241775\pi$
$877$	−1.84118	+	38.6512i	−0.0621723	+	1.30516i	−0.787312	+	0.616555i	$0.788528\pi$
$878$	−36.0390	+	45.8274i	−1.21626	+	1.54660i
$879$	21.9026	−	15.5968i	0.738757	−	0.526066i
$880$	65.3234	+	83.0655i	2.20205	+	2.80014i
$881$	36.3830	+	10.6830i	1.22577	+	0.359920i	0.829653	−	0.558279i	$-0.188538\pi$
$881$	36.3830	+	10.6830i	1.22577	+	0.359920i	0.396120	+	0.918199i	$0.370356\pi$
$882$	−2.38864	+	17.6188i	−0.0804298	+	0.593254i
$883$	−14.6344	−	32.0449i	−0.492487	−	1.07840i	−0.978839	−	0.204633i	$-0.934400\pi$
$883$	−14.6344	−	32.0449i	−0.492487	−	1.07840i	0.486352	−	0.873763i	$-0.338327\pi$
$884$	−13.2825	+	13.9303i	−0.446740	+	0.468527i
$885$	5.40657	+	15.6213i	0.181740	+	0.525103i
$886$	−32.3832	−	93.5651i	−1.08794	−	3.14338i
$887$	2.79542	−	2.93175i	0.0938609	−	0.0984384i	−0.675128	−	0.737701i	$-0.735912\pi$
$887$	2.79542	−	2.93175i	0.0938609	−	0.0984384i	0.768989	+	0.639262i	$0.220760\pi$
$888$	−27.6713	−	60.5917i	−0.928588	−	2.03332i
$889$	23.9767	−	12.4832i	0.804153	−	0.418674i
$890$	−102.215	−	30.0130i	−3.42626	−	1.00604i
$891$	−3.05873	−	3.88949i	−0.102471	−	0.130303i
$892$	73.0921	−	52.0487i	2.44731	−	1.74272i
$893$	29.2087	−	37.1419i	0.977433	−	1.24291i
$894$	0.140224	−	2.94366i	0.00468978	−	0.0984506i
$895$	13.3887	+	15.4514i	0.447536	+	0.516485i
$896$	−13.7384	−	29.7654i	−0.458968	−	0.994391i
$897$	16.0468	−	13.5784i	0.535785	−	0.453371i
$898$	−36.8574	−	63.8390i	−1.22995	−	2.13033i
$899$	−0.339238	−	1.76013i	−0.0113142	−	0.0587037i
$900$	17.9758	−	9.26719i	0.599195	−	0.308906i
$901$	3.26048	+	8.14429i	0.108622	+	0.271326i
$902$	−21.0138	+	46.0137i	−0.699681	+	1.53209i
$903$	18.4028	+	9.39376i	0.612406	+	0.312605i
$904$	−24.1839	+	82.3630i	−0.804346	+	2.73935i
$905$	−54.1902	−	27.9370i	−1.80134	−	0.928658i
$906$	−3.97402	+	41.6179i	−0.132028	+	1.38266i
$907$	−14.5605	−	3.53234i	−0.483474	−	0.117289i	−0.0133882	−	0.999910i	$-0.504262\pi$
$907$	−14.5605	−	3.53234i	−0.483474	−	0.117289i	−0.470085	+	0.882621i	$0.655777\pi$
$908$	99.7885	+	19.2327i	3.31160	+	0.638258i
$909$	−0.212138	−	0.183818i	−0.00703616	−	0.00609687i
$910$	86.1082	+	29.4149i	2.85446	+	0.975094i
$911$	23.4187	−	10.6950i	0.775897	−	0.354341i	0.0122090	−	0.999925i	$-0.496114\pi$
$911$	23.4187	−	10.6950i	0.775897	−	0.354341i	0.763688	+	0.645585i	$0.223386\pi$
$912$	19.2970	−	37.4309i	0.638987	−	1.23946i
$913$	36.5740	+	38.3578i	1.21042	+	1.26946i
$914$	30.1457	−	75.3004i	0.997132	−	2.49072i
$915$	0.993729	+	10.4068i	0.0328517	+	0.344038i
$916$	5.75897	−	40.0545i	0.190282	−	1.32344i
$917$	10.6903	+	1.49315i	0.353023	+	0.0493081i
$918$	−1.89363	+	1.64084i	−0.0624992	+	0.0541559i
$919$	6.46629	−	3.73331i	0.213303	−	0.123151i	−0.389542	−	0.921009i	$-0.627367\pi$
$919$	6.46629	−	3.73331i	0.213303	−	0.123151i	0.602846	+	0.797858i	$0.294034\pi$
$920$	−75.7700	+	52.6275i	−2.49806	+	1.73508i
$921$	−4.34022	+	7.51749i	−0.143015	+	0.247710i
$922$	2.62269	+	0.907721i	0.0863736	+	0.0298942i
$923$	21.7863	−	33.9002i	0.717105	−	1.11584i
$924$	−13.5115	+	56.6897i	−0.444495	+	1.86496i
$925$	44.2074	+	20.1888i	1.45353	+	0.663805i
$926$	−1.87170	+	1.47192i	−0.0615078	+	0.0483702i
$927$	1.44095	−	1.37395i	0.0473271	−	0.0451263i
$928$	−0.357936	−	7.51401i	−0.0117498	−	0.246659i
$929$	11.7996	+	8.40249i	0.387134	+	0.275677i	0.757009	−	0.653405i	$-0.226660\pi$
$929$	11.7996	+	8.40249i	0.387134	+	0.275677i	−0.369875	+	0.929082i	$0.620599\pi$
$930$	9.15964	−	2.68951i	0.300356	−	0.0881926i
$931$	−39.7126	−	15.5289i	−1.30153	−	0.508940i
$932$	−7.72969	+	8.92053i	−0.253194	+	0.292202i
$933$	−2.47931	−	2.36402i	−0.0811691	−	0.0773945i
$934$	36.0695	+	3.44422i	1.18023	+	0.112698i
$935$	15.0619	−	0.717488i	0.492577	−	0.0234644i
$936$	−26.5241	+	6.43468i	−0.866967	+	0.210324i
$937$	2.44467	+	17.0031i	0.0798640	+	0.555467i	0.989990	+	0.141136i	$0.0450753\pi$
$937$	2.44467	+	17.0031i	0.0798640	+	0.555467i	−0.910126	+	0.414331i	$0.864016\pi$
$938$	47.0556	+	26.9157i	1.53642	+	0.878828i
$939$	−18.4925	−	2.65882i	−0.603481	−	0.0867674i
$940$	106.549	+	5.07557i	3.47525	+	0.165547i
$941$	−31.5508	+	6.08092i	−1.02853	+	0.198232i	−0.675484	−	0.737375i	$-0.736065\pi$
$941$	−31.5508	+	6.08092i	−1.02853	+	0.198232i	−0.353043	+	0.935607i	$0.614853\pi$
$942$	4.55886	+	2.63206i	0.148536	+	0.0857571i
$943$	−17.0518	−	9.04546i	−0.555282	−	0.294561i
$944$			36.9931i			1.20402i
$945$	7.44825	+	3.36535i	0.242292	+	0.109475i
$946$	82.5690	+	53.0639i	2.68455	+	1.72526i
$947$	−16.0879	+	6.44064i	−0.522788	+	0.209293i	−0.618020	−	0.786162i	$-0.712065\pi$
$947$	−16.0879	+	6.44064i	−0.522788	+	0.209293i	0.0952321	+	0.995455i	$0.469641\pi$
$948$	23.7479	+	33.3492i	0.771295	+	1.08313i
$949$	−8.08341	−	3.23611i	−0.262399	−	0.105049i
$950$	16.5723	+	68.3121i	0.537678	+	2.21634i
$951$	7.79309	+	12.1263i	0.252708	+	0.393222i
$952$	15.9706	+	3.01149i	0.517611	+	0.0976030i
$953$	−3.67800	−	12.5261i	−0.119142	−	0.405761i	0.878228	−	0.478243i	$-0.158726\pi$
$953$	−3.67800	−	12.5261i	−0.119142	−	0.405761i	−0.997370	+	0.0724821i	$0.976908\pi$
$954$	−4.27483	+	22.1799i	−0.138403	+	0.718101i
$955$	−22.7083	+	7.85941i	−0.734823	+	0.254325i
$956$	−13.5303	+	55.7728i	−0.437603	+	1.80382i
$957$	4.22882	−	5.93854i	0.136698	−	0.191966i
$958$	−40.1987	+	25.8342i	−1.29876	+	0.834664i
$959$	23.6746	+	29.8567i	0.764492	+	0.964122i
$960$	−2.62360	+	0.377216i	−0.0846762	+	0.0121746i
$961$	−29.3861	+	2.80604i	−0.947940	+	0.0905173i
$962$	−93.6142	−	73.6190i	−3.01824	−	2.37357i
$963$	1.45697	+	2.82612i	0.0469501	+	0.0910705i
$964$	1.65214	−	4.77356i	0.0532120	−	0.153746i
$965$	11.5724			0.372528
$966$	−30.8525	−	9.31785i	−0.992664	−	0.299797i
$967$	10.6101			0.341197			0.170598	−	0.985341i	$-0.445430\pi$
$967$	10.6101			0.341197			0.170598	+	0.985341i	$0.445430\pi$
$968$	−27.4619	+	79.3461i	−0.882660	+	2.55028i
$969$	−2.75355	−	5.34115i	−0.0884569	−	0.171582i
$970$	58.0138	+	45.6225i	1.86271	+	1.46485i
$971$	34.7496	−	3.31819i	1.11517	−	0.106486i	0.478839	−	0.877903i	$-0.341058\pi$
$971$	34.7496	−	3.31819i	1.11517	−	0.106486i	0.636330	+	0.771417i	$0.280452\pi$
$972$	−4.40625	+	0.633523i	−0.141330	+	0.0203202i
$973$	−18.0956	+	45.7332i	−0.580120	+	1.46614i
$974$	−31.7607	+	20.4113i	−1.01768	+	0.654022i
$975$	11.5508	−	16.2208i	0.369921	−	0.519481i
$976$	−5.51560	+	22.7356i	−0.176550	+	0.727749i
$977$	−37.3479	+	12.9262i	−1.19486	+	0.413547i	−0.850845	−	0.525416i	$-0.823910\pi$
$977$	−37.3479	+	12.9262i	−1.19486	+	0.413547i	−0.344019	+	0.938963i	$0.611788\pi$
$978$	−2.50801	+	13.0128i	−0.0801973	+	0.416103i
$979$	−18.9266	−	64.4582i	−0.604898	−	2.06009i
$980$	−23.4467	−	93.3630i	−0.748979	−	2.98237i
$981$	10.2668	+	15.9754i	0.327793	+	0.510057i
$982$	−7.73777	−	31.8955i	−0.246922	−	1.01783i
$983$	−3.58973	−	1.43711i	−0.114494	−	0.0458367i	0.313708	−	0.949520i	$-0.398429\pi$
$983$	−3.58973	−	1.43711i	−0.114494	−	0.0458367i	−0.428202	+	0.903683i	$0.640853\pi$
$984$	14.5376	+	20.4152i	0.463442	+	0.650813i
$985$	11.9920	−	4.80087i	0.382097	−	0.152968i
$986$	−3.10565	−	1.99588i	−0.0989039	−	0.0635617i
$987$	11.9715	+	16.6693i	0.381057	+	0.530588i
$988$		−	118.857i		−	3.78134i
$989$	−22.0808	+	30.2511i	−0.702130	+	0.961928i
$990$	33.6240	+	19.4128i	1.06864	+	0.616981i
$991$	44.6336	−	8.60242i	1.41783	−	0.273265i	0.577968	−	0.816060i	$-0.303846\pi$
$991$	44.6336	−	8.60242i	1.41783	−	0.273265i	0.839866	+	0.542795i	$0.182634\pi$
$992$	6.20473	+	0.295568i	0.197000	+	0.00938429i
$993$	5.42034	+	0.779328i	0.172009	+	0.0247312i
$994$	−61.7829	+	0.248596i	−1.95963	+	0.00788498i
$995$	−4.20458	−	29.2435i	−0.133294	−	0.927081i
$996$	46.3369	−	11.2412i	1.46824	−	0.356191i
$997$	−19.2517	+	0.917070i	−0.609707	+	0.0290439i	−0.350165	−	0.936688i	$-0.613874\pi$
$997$	−19.2517	+	0.917070i	−0.609707	+	0.0290439i	−0.259542	+	0.965732i	$0.583571\pi$
$998$	−34.3323	−	3.27834i	−1.08677	−	0.103774i
$999$	−7.74198	−	7.38196i	−0.244945	−	0.233555i

Display

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instead) (See

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bf.a.10.31	✓	640
7.5	odd	6	inner	483.2.bf.a.355.2	yes	640
23.7	odd	22	inner	483.2.bf.a.283.2	yes	640
161.145	even	66	inner	483.2.bf.a.145.31	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bf.a.10.31	✓	640	1.1	even	1	trivial
483.2.bf.a.145.31	yes	640	161.145	even	66	inner
483.2.bf.a.283.2	yes	640	23.7	odd	22	inner
483.2.bf.a.355.2	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.10.31

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