LMFDB - Embedded newform 483.2.bc.a.11.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(11,483)]

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([33, 44, 27]))

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

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

chi := DirichletCharacter("483.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$483 = 3 \cdot 7 \cdot 23$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	483.bc (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:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			11.16
Character	$\chi$	$=$	483.11
Dual form			483.2.bc.a.44.16

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.742085 + 1.43944i) q^{2} +(-0.310505 + 1.70399i) q^{3} +(-0.361196 - 0.507229i) q^{4} +(-1.42767 - 1.36128i) q^{5} +(-2.22238 - 1.71146i) q^{6} +(-2.18159 - 1.49689i) q^{7} +(-2.20781 + 0.317435i) q^{8} +(-2.80717 - 1.05820i) q^{9} +(3.01893 - 1.04486i) q^{10} +(2.80820 - 1.44773i) q^{11} +(0.976467 - 0.457978i) q^{12} +(0.995174 - 1.14849i) q^{13} +(3.77361 - 2.02946i) q^{14} +(2.76290 - 2.01005i) q^{15} +(1.58878 - 4.59047i) q^{16} +(1.57521 + 0.150414i) q^{17} +(3.60638 - 3.25550i) q^{18} +(0.259636 + 2.71903i) q^{19} +(-0.174812 + 1.21584i) q^{20} +(3.22808 - 3.25261i) q^{21} +5.11659i q^{22} +(-3.87230 - 2.82937i) q^{23} +(0.144630 - 3.86066i) q^{24} +(-0.0527539 - 1.10744i) q^{25} +(0.914687 + 2.28478i) q^{26} +(2.67480 - 4.45482i) q^{27} +(0.0287157 + 1.64723i) q^{28} +(-1.34356 + 0.613584i) q^{29} +(0.843042 + 5.46867i) q^{30} +(-0.952192 - 0.381200i) q^{31} +(2.35026 + 2.46488i) q^{32} +(1.59495 + 5.23468i) q^{33} +(-1.38545 + 2.15581i) q^{34} +(1.07690 + 5.10680i) q^{35} +(0.477192 + 1.80610i) q^{36} +(-10.2911 + 2.49660i) q^{37} +(-4.10657 - 1.64402i) q^{38} +(1.64801 + 2.05238i) q^{39} +(3.58413 + 2.55225i) q^{40} +(-3.01371 - 10.2638i) q^{41} +(2.28645 + 7.06036i) q^{42} +(-2.19171 - 0.315121i) q^{43} +(-1.74864 - 0.901487i) q^{44} +(2.56721 + 5.33209i) q^{45} +(6.94629 - 3.47432i) q^{46} +(7.89352 - 4.55732i) q^{47} +(7.32880 + 4.13263i) q^{48} +(2.51865 + 6.53119i) q^{49} +(1.63325 + 0.745879i) q^{50} +(-0.745416 + 2.63744i) q^{51} +(-0.942002 - 0.0899503i) q^{52} +(-0.972077 + 0.187353i) q^{53} +(4.42754 + 7.15609i) q^{54} +(-5.97993 - 1.75587i) q^{55} +(5.29170 + 2.61233i) q^{56} +(-4.71382 - 0.401857i) q^{57} +(0.113817 - 2.38931i) q^{58} +(9.15172 - 3.16744i) q^{59} +(-2.01750 - 0.675403i) q^{60} +(1.07206 + 1.36323i) q^{61} +(1.25532 - 1.08774i) q^{62} +(4.54009 + 6.51057i) q^{63} +(4.02959 - 1.18319i) q^{64} +(-2.98419 + 0.284956i) q^{65} +(-8.71862 - 1.58873i) q^{66} +(-13.8729 + 0.660848i) q^{67} +(-0.492665 - 0.853321i) q^{68} +(6.02359 - 5.71982i) q^{69} +(-8.15011 - 2.23955i) q^{70} +(-2.69249 - 4.18960i) q^{71} +(6.53362 + 1.44520i) q^{72} +(-3.96105 - 5.56252i) q^{73} +(4.04318 - 16.6662i) q^{74} +(1.90345 + 0.253974i) q^{75} +(1.28539 - 1.11380i) q^{76} +(-8.29343 - 1.04522i) q^{77} +(-4.17726 + 0.849183i) q^{78} +(1.10300 - 5.72289i) q^{79} +(-8.51715 + 4.39089i) q^{80} +(6.76044 + 5.94108i) q^{81} +(17.0105 + 3.27851i) q^{82} +(-1.52198 - 0.446895i) q^{83} +(-2.81579 - 0.462544i) q^{84} +(-2.04412 - 2.35904i) q^{85} +(2.08004 - 2.92100i) q^{86} +(-0.628359 - 2.47994i) q^{87} +(-5.74042 + 4.08773i) q^{88} +(-15.1699 + 6.07312i) q^{89} +(-9.58033 - 0.261516i) q^{90} +(-3.89023 + 1.01587i) q^{91} +(-0.0364801 + 2.98610i) q^{92} +(0.945222 - 1.50416i) q^{93} +(0.702353 + 14.7442i) q^{94} +(3.33068 - 4.23530i) q^{95} +(-4.92990 + 3.23946i) q^{96} +(0.967573 + 3.29525i) q^{97} +(-11.2703 - 1.22124i) q^{98} +(-9.41509 + 1.09239i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$1200 q - 9 q^{3} - 74 q^{4} - 20 q^{6} - 44 q^{7} - 13 q^{9} - 22 q^{10} - 25 q^{12} - 72 q^{13} - 44 q^{15} + 38 q^{16} - 45 q^{18} - 22 q^{19} + 44 q^{21} + 2 q^{24} + 18 q^{25} - 90 q^{27} - 44 q^{28}+ \cdots - 308 q^{99}+O(q^{100})$ 1200 * q - 9 * q^3 - 74 * q^4 - 20 * q^6 - 44 * q^7 - 13 * q^9 - 22 * q^10 - 25 * q^12 - 72 * q^13 - 44 * q^15 + 38 * q^16 - 45 * q^18 - 22 * q^19 + 44 * q^21 + 2 * q^24 + 18 * q^25 - 90 * q^27 - 44 * q^28 - 55 * q^30 - 18 * q^31 - 11 * q^33 - 88 * q^34 - 108 * q^36 - 66 * q^37 + q^39 - 22 * q^40 - 22 * q^42 - 2 * q^46 - 228 * q^48 - 128 * q^49 - 11 * q^51 - 166 * q^52 + 35 * q^54 - 160 * q^55 - 44 * q^57 - 126 * q^58 - 11 * q^60 + 66 * q^61 + 33 * q^63 + 40 * q^64 + 22 * q^66 - 22 * q^67 - 24 * q^69 + 68 * q^70 - 149 * q^72 - 42 * q^73 + 123 * q^75 - 88 * q^76 - 108 * q^78 - 66 * q^79 - 81 * q^81 - 14 * q^82 + 44 * q^84 - 200 * q^85 + 75 * q^87 + 66 * q^88 + 16 * q^93 - 146 * q^94 + 5 * q^96 - 88 * q^97 - 308 * q^99

Character values

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

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{9}{22}\right)$

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

)

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

$2$	−0.742085	+	1.43944i	−0.524733	+	1.01784i	0.466350	+	0.884600i	$0.345569\pi$
$2$	−0.742085	+	1.43944i	−0.524733	+	1.01784i	−0.991084	+	0.133241i	$0.957462\pi$
$3$	−0.310505	+	1.70399i	−0.179270	+	0.983800i
$3$	−0.310505	+	1.70399i	−0.179270	+	0.983800i
$4$	−0.361196	−	0.507229i	−0.180598	−	0.253614i
$5$	−1.42767	−	1.36128i	−0.638472	−	0.608781i	0.300083	−	0.953913i	$-0.402986\pi$
$5$	−1.42767	−	1.36128i	−0.638472	−	0.608781i	−0.938554	+	0.345132i	$0.887834\pi$
$6$	−2.22238	−	1.71146i	−0.907283	−	0.698701i
$7$	−2.18159	−	1.49689i	−0.824563	−	0.565771i
$7$	−2.18159	−	1.49689i	−0.824563	−	0.565771i
$8$	−2.20781	+	0.317435i	−0.780579	+	0.112230i
$9$	−2.80717	−	1.05820i	−0.935724	−	0.352732i
$10$	3.01893	−	1.04486i	0.954670	−	0.330415i
$11$	2.80820	−	1.44773i	0.846705	−	0.436507i	0.0204416	−	0.999791i	$-0.493493\pi$
$11$	2.80820	−	1.44773i	0.846705	−	0.436507i	0.826263	+	0.563284i	$0.190462\pi$
$12$	0.976467	−	0.457978i	0.281882	−	0.132207i
$13$	0.995174	−	1.14849i	0.276012	−	0.318535i	−0.600771	−	0.799421i	$-0.705140\pi$
$13$	0.995174	−	1.14849i	0.276012	−	0.318535i	0.876783	+	0.480887i	$0.159685\pi$
$14$	3.77361	−	2.02946i	1.00854	−	0.542395i
$15$	2.76290	−	2.01005i	0.713378	−	0.518992i
$16$	1.58878	−	4.59047i	0.397194	−	1.14762i
$17$	1.57521	+	0.150414i	0.382045	+	0.0364808i	0.284312	−	0.958732i	$-0.408235\pi$
$17$	1.57521	+	0.150414i	0.382045	+	0.0364808i	0.0977328	+	0.995213i	$0.468841\pi$
$18$	3.60638	−	3.25550i	0.850031	−	0.767328i
$19$	0.259636	+	2.71903i	0.0595646	+	0.623788i	0.975132	+	0.221624i	$0.0711358\pi$
$19$	0.259636	+	2.71903i	0.0595646	+	0.623788i	−0.915568	+	0.402164i	$0.868258\pi$
$20$	−0.174812	+	1.21584i	−0.0390891	+	0.271870i
$21$	3.22808	−	3.25261i	0.704425	−	0.709779i
$22$			5.11659i			1.09086i
$23$	−3.87230	−	2.82937i	−0.807429	−	0.589964i
$23$	−3.87230	−	2.82937i	−0.807429	−	0.589964i
$24$	0.144630	−	3.86066i	0.0295226	−	0.788053i
$25$	−0.0527539	−	1.10744i	−0.0105508	−	0.221488i
$26$	0.914687	+	2.28478i	0.179385	+	0.448082i
$27$	2.67480	−	4.45482i	0.514766	−	0.857331i
$28$	0.0287157	+	1.64723i	0.00542676	+	0.311298i
$29$	−1.34356	+	0.613584i	−0.249493	+	0.113940i	−0.536237	−	0.844068i	$-0.680155\pi$
$29$	−1.34356	+	0.613584i	−0.249493	+	0.113940i	0.286744	+	0.958007i	$0.407427\pi$
$30$	0.843042	+	5.46867i	0.153918	+	0.998438i
$31$	−0.952192	−	0.381200i	−0.171019	−	0.0684655i	0.284573	−	0.958654i	$-0.408148\pi$
$31$	−0.952192	−	0.381200i	−0.171019	−	0.0684655i	−0.455592	+	0.890189i	$0.650572\pi$
$32$	2.35026	+	2.46488i	0.415471	+	0.435733i
$33$	1.59495	+	5.23468i	0.277646	+	0.911241i
$34$	−1.38545	+	2.15581i	−0.237603	+	0.369718i
$35$	1.07690	+	5.10680i	0.182029	+	0.863207i
$36$	0.477192	+	1.80610i	0.0795319	+	0.301016i
$37$	−10.2911	+	2.49660i	−1.69185	+	0.410439i	−0.961975	−	0.273138i	$-0.911938\pi$
$37$	−10.2911	+	2.49660i	−1.69185	+	0.410439i	−0.729878	+	0.683577i	$0.760423\pi$
$38$	−4.10657	−	1.64402i	−0.666173	−	0.266695i
$39$	1.64801	+	2.05238i	0.263893	+	0.328644i
$40$	3.58413	+	2.55225i	0.566701	+	0.403546i
$41$	−3.01371	−	10.2638i	−0.470663	−	1.60293i	−0.762854	−	0.646571i	$-0.776203\pi$
$41$	−3.01371	−	10.2638i	−0.470663	−	1.60293i	0.292191	−	0.956360i	$-0.405616\pi$
$42$	2.28645	+	7.06036i	0.352806	+	1.08944i
$43$	−2.19171	−	0.315121i	−0.334233	−	0.0480555i	−0.0268448	−	0.999640i	$-0.508546\pi$
$43$	−2.19171	−	0.315121i	−0.334233	−	0.0480555i	−0.307388	+	0.951584i	$0.599455\pi$
$44$	−1.74864	−	0.901487i	−0.263618	−	0.135904i
$45$	2.56721	+	5.33209i	0.382696	+	0.794861i
$46$	6.94629	−	3.47432i	1.02418	−	0.512261i
$47$	7.89352	−	4.55732i	1.15139	−	0.664754i	0.202163	−	0.979352i	$-0.435203\pi$
$47$	7.89352	−	4.55732i	1.15139	−	0.664754i	0.949225	+	0.314598i	$0.101870\pi$
$48$	7.32880	+	4.13263i	1.05782	+	0.596494i
$49$	2.51865	+	6.53119i	0.359807	+	0.933027i
$50$	1.63325	+	0.745879i	0.230976	+	0.105483i
$51$	−0.745416	+	2.63744i	−0.104379	+	0.369315i
$52$	−0.942002	−	0.0899503i	−0.130632	−	0.0124739i
$53$	−0.972077	+	0.187353i	−0.133525	+	0.0257349i	−0.255576	−	0.966789i	$-0.582265\pi$
$53$	−0.972077	+	0.187353i	−0.133525	+	0.0257349i	0.122051	+	0.992524i	$0.461053\pi$
$54$	4.42754	+	7.15609i	0.602512	+	0.973820i
$55$	−5.97993	−	1.75587i	−0.806334	−	0.236761i
$56$	5.29170	+	2.61233i	0.707133	+	0.349088i
$57$	−4.71382	−	0.401857i	−0.624361	−	0.0532272i
$58$	0.113817	−	2.38931i	0.0149449	−	0.313732i
$59$	9.15172	−	3.16744i	1.19145	−	0.412366i	0.341832	−	0.939761i	$-0.388953\pi$
$59$	9.15172	−	3.16744i	1.19145	−	0.412366i	0.849620	+	0.527396i	$0.176831\pi$
$60$	−2.01750	−	0.675403i	−0.260459	−	0.0871941i
$61$	1.07206	+	1.36323i	0.137263	+	0.174544i	0.849825	−	0.527065i	$-0.176708\pi$
$61$	1.07206	+	1.36323i	0.137263	+	0.174544i	−0.712562	+	0.701609i	$0.752465\pi$
$62$	1.25532	−	1.08774i	0.159426	−	0.138144i
$63$	4.54009	+	6.51057i	0.571998	+	0.820255i
$64$	4.02959	−	1.18319i	0.503699	−	0.147899i
$65$	−2.98419	+	0.284956i	−0.370144	+	0.0353444i
$66$	−8.71862	−	1.58873i	−1.07319	−	0.195559i
$67$	−13.8729	+	0.660848i	−1.69485	+	0.0807355i	−0.872612	−	0.488414i	$-0.837576\pi$
$67$	−13.8729	+	0.660848i	−1.69485	+	0.0807355i	−0.822234	+	0.569150i	$0.807273\pi$
$68$	−0.492665	−	0.853321i	−0.0597444	−	0.103480i
$69$	6.02359	−	5.71982i	0.725155	−	0.688586i
$70$	−8.15011	−	2.23955i	−0.974124	−	0.267677i
$71$	−2.69249	−	4.18960i	−0.319540	−	0.497214i	0.643910	−	0.765101i	$-0.277311\pi$
$71$	−2.69249	−	4.18960i	−0.319540	−	0.497214i	−0.963450	+	0.267887i	$0.913675\pi$
$72$	6.53362	+	1.44520i	0.769994	+	0.170319i
$73$	−3.96105	−	5.56252i	−0.463606	−	0.651044i	0.514903	−	0.857249i	$-0.327828\pi$
$73$	−3.96105	−	5.56252i	−0.463606	−	0.651044i	−0.978509	+	0.206205i	$0.933889\pi$
$74$	4.04318	−	16.6662i	0.470010	−	1.93741i
$75$	1.90345	+	0.253974i	0.219791	+	0.0293264i
$76$	1.28539	−	1.11380i	0.147445	−	0.127761i
$77$	−8.29343	−	1.04522i	−0.945124	−	0.119114i
$78$	−4.17726	+	0.849183i	−0.472981	+	0.0961510i
$79$	1.10300	−	5.72289i	0.124097	−	0.643875i	−0.865605	−	0.500728i	$-0.833066\pi$
$79$	1.10300	−	5.72289i	0.124097	−	0.643875i	0.989701	−	0.143147i	$-0.0457222\pi$
$80$	−8.51715	+	4.39089i	−0.952246	+	0.490917i
$81$	6.76044	+	5.94108i	0.751160	+	0.660121i
$82$	17.0105	+	3.27851i	1.87850	+	0.362051i
$83$	−1.52198	−	0.446895i	−0.167059	−	0.0490531i	0.197133	−	0.980377i	$-0.436837\pi$
$83$	−1.52198	−	0.446895i	−0.167059	−	0.0490531i	−0.364193	+	0.931324i	$0.618655\pi$
$84$	−2.81579	−	0.462544i	−0.307228	−	0.0504677i
$85$	−2.04412	−	2.35904i	−0.221716	−	0.255874i
$86$	2.08004	−	2.92100i	0.224296	−	0.314980i
$87$	−0.628359	−	2.47994i	−0.0673671	−	0.265877i
$88$	−5.74042	+	4.08773i	−0.611931	+	0.435754i
$89$	−15.1699	+	6.07312i	−1.60801	+	0.643750i	−0.989826	−	0.142284i	$-0.954555\pi$
$89$	−15.1699	+	6.07312i	−1.60801	+	0.643750i	−0.618183	+	0.786034i	$0.712131\pi$
$90$	−9.58033	−	0.261516i	−1.00986	−	0.0275662i
$91$	−3.89023	+	1.01587i	−0.407806	+	0.106492i
$92$	−0.0364801	+	2.98610i	−0.00380331	+	0.311322i
$93$	0.945222	−	1.50416i	0.0980150	−	0.155974i
$94$	0.702353	+	14.7442i	0.0724422	+	1.52075i
$95$	3.33068	−	4.23530i	0.341721	−	0.434533i
$96$	−4.92990	+	3.23946i	−0.503156	+	0.330626i
$97$	0.967573	+	3.29525i	0.0982422	+	0.334582i	0.993918	−	0.110126i	$-0.0351255\pi$
$97$	0.967573	+	3.29525i	0.0982422	+	0.334582i	−0.895675	+	0.444708i	$0.853307\pi$
$98$	−11.2703	−	1.22124i	−1.13848	−	0.123364i
$99$	−9.41509	+	1.09239i	−0.946252	+	0.109790i
$100$	−0.542671	+	0.426761i	−0.0542671	+	0.0426761i
$101$	−6.18137	−	6.48283i	−0.615069	−	0.645066i	0.340357	−	0.940296i	$-0.389452\pi$
$101$	−6.18137	−	6.48283i	−0.615069	−	0.645066i	−0.955426	+	0.295230i	$0.904604\pi$
$102$	−3.24329	−	3.03019i	−0.321133	−	0.300034i
$103$	12.1346	+	0.578043i	1.19566	+	0.0569562i	0.635948	−	0.771732i	$-0.280609\pi$
$103$	12.1346	+	0.578043i	1.19566	+	0.0569562i	0.559711	+	0.828688i	$0.310912\pi$
$104$	−1.83258	+	2.85156i	−0.179700	+	0.279618i
$105$	−9.03633	+	0.249336i	−0.881855	+	0.0243327i
$106$	0.451681	−	1.53828i	0.0438711	−	0.149411i
$107$	−5.93714	+	4.66902i	−0.573965	+	0.451371i	−0.862471	−	0.506107i	$-0.831084\pi$
$107$	−5.93714	+	4.66902i	−0.573965	+	0.451371i	0.288505	+	0.957478i	$0.406842\pi$
$108$	−3.22574	+	0.252328i	−0.310397	+	0.0242802i
$109$	1.24522	−	13.0405i	0.119270	−	1.24905i	−0.715563	−	0.698548i	$-0.753830\pi$
$109$	1.24522	−	13.0405i	0.119270	−	1.24905i	0.834833	−	0.550504i	$-0.185564\pi$
$110$	6.96509	−	7.30478i	0.664095	−	0.696483i
$111$	−1.05874	−	18.3112i	−0.100491	−	1.73802i
$112$	−10.3375	+	7.63629i	−0.976800	+	0.721562i
$113$	5.49168	−	3.52929i	0.516613	−	0.332007i	−0.256218	−	0.966619i	$-0.582476\pi$
$113$	5.49168	−	3.52929i	0.516613	−	0.332007i	0.772831	+	0.634612i	$0.218840\pi$
$114$	4.07651	−	6.48707i	0.381800	−	0.607570i
$115$	1.67679	+	9.31066i	0.156361	+	0.868223i
$116$	0.796517	+	0.459869i	0.0739547	+	0.0426978i
$117$	−4.00896	+	2.17093i	−0.370628	+	0.200702i
$118$	−2.23200	+	15.5239i	−0.205472	+	1.42909i
$119$	−3.21131	−	2.68606i	−0.294380	−	0.246230i
$120$	−5.46190	+	5.31484i	−0.498601	+	0.485177i
$121$	−0.590548	+	0.829308i	−0.0536861	+	0.0753916i
$122$	−2.75785	+	0.531533i	−0.249684	+	0.0481227i
$123$	18.4251	−	1.94839i	1.66134	−	0.175680i
$124$	0.150572	+	0.620667i	0.0135218	+	0.0557376i
$125$	−7.89124	+	9.10697i	−0.705814	+	0.814552i
$126$	−12.7407	+	1.70381i	−1.13504	+	0.151787i
$127$	−13.0739	−	8.40209i	−1.16012	−	0.745565i	−0.188493	−	0.982075i	$-0.560360\pi$
$127$	−13.0739	−	8.40209i	−1.16012	−	0.745565i	−0.971629	+	0.236510i	$0.923997\pi$
$128$	−2.57625	+	13.3669i	−0.227711	+	1.18148i
$129$	1.21750	−	3.63681i	0.107195	−	0.320204i
$130$	1.80435	−	4.50704i	0.158252	−	0.395294i
$131$	−0.986186	−	0.341322i	−0.0861635	−	0.0298215i	0.283646	−	0.958929i	$-0.408456\pi$
$131$	−0.986186	−	0.341322i	−0.0861635	−	0.0298215i	−0.369810	+	0.929108i	$0.620577\pi$
$132$	2.07909	−	2.69975i	0.180961	−	0.234983i
$133$	3.50367	−	6.32045i	0.303806	−	0.548053i
$134$	9.34363	−	20.4597i	0.807167	−	1.76745i
$135$	−9.88297	+	2.71885i	−0.850590	+	0.234002i
$136$	−3.52551	+	0.167941i	−0.302310	+	0.0144008i
$137$	−0.562082	+	0.973555i	−0.0480219	+	0.0831764i	−0.889037	−	0.457835i	$-0.848625\pi$
$137$	−0.562082	+	0.973555i	−0.0480219	+	0.0831764i	0.841015	+	0.541011i	$0.181958\pi$
$138$	3.76335	+	12.9152i	0.320358	+	1.09942i
$139$	19.3812			1.64389			0.821944	−	0.569568i	$-0.192890\pi$
$139$	19.3812			1.64389			0.821944	+	0.569568i	$0.192890\pi$
$140$	2.20135	−	2.39079i	0.186048	−	0.202059i
$141$	5.31466	+	14.8656i	0.447575	+	1.25191i
$142$	8.02875	−	0.766653i	0.673758	−	0.0643361i
$143$	1.13195	−	4.66594i	0.0946580	−	0.390186i
$144$	−9.31760	+	11.2050i	−0.776466	+	0.933751i
$145$	2.75341	+	0.952966i	0.228659	+	0.0791395i
$146$	10.9464	−	1.57385i	0.905929	−	0.130253i
$147$	−11.9111	+	2.26379i	−0.982414	+	0.186714i
$148$	4.98347	+	4.31820i	0.409639	+	0.354954i
$149$	−1.04675	+	21.9739i	−0.0857527	+	1.80017i	0.390231	+	0.920717i	$0.372395\pi$
$149$	−1.04675	+	21.9739i	−0.0857527	+	1.80017i	−0.475984	+	0.879454i	$0.657908\pi$
$150$	−1.77810	+	2.55144i	−0.145181	+	0.208324i
$151$	−3.37456	−	9.75016i	−0.274618	−	0.793457i	−0.995000	−	0.0998789i	$-0.968154\pi$
$151$	−3.37456	−	9.75016i	−0.274618	−	0.793457i	0.720381	−	0.693578i	$-0.243967\pi$
$152$	−1.43634	−	5.92069i	−0.116503	−	0.480231i
$153$	−4.26272	−	2.08912i	−0.344620	−	0.168896i
$154$	7.65896	−	11.1623i	0.617177	−	0.899483i
$155$	0.840493	+	1.84042i	0.0675100	+	0.147826i
$156$	0.445771	−	1.57723i	0.0356903	−	0.126280i
$157$	−5.42893	+	3.86592i	−0.433276	+	0.308534i	−0.775805	−	0.630973i	$-0.782656\pi$
$157$	−5.42893	+	3.86592i	−0.433276	+	0.308534i	0.342529	+	0.939507i	$0.388716\pi$
$158$	7.41926	+	5.83457i	0.590245	+	0.464174i
$159$	−0.0174118	−	1.71459i	−0.00138084	−	0.135975i
$160$		−	6.71838i		−	0.531134i
$161$	4.21250	+	11.9689i	0.331992	+	0.943282i
$162$	−13.5687	+	5.32248i	−1.06606	+	0.418174i
$163$	−10.5864	−	5.45768i	−0.829193	−	0.427479i	−0.00927293	−	0.999957i	$-0.502952\pi$
$163$	−10.5864	−	5.45768i	−0.829193	−	0.427479i	−0.819920	+	0.572478i	$0.805982\pi$
$164$	−4.11754	+	5.23587i	−0.321526	+	0.408853i
$165$	4.84878	−	9.64455i	0.377477	−	0.750827i
$166$	1.77272	−	1.85918i	0.137590	−	0.144300i
$167$	7.28994	−	3.32920i	0.564113	−	0.257622i	−0.112883	−	0.993608i	$-0.536009\pi$
$167$	7.28994	−	3.32920i	0.564113	−	0.257622i	0.676996	+	0.735987i	$0.263281\pi$
$168$	−6.09450	+	8.20586i	−0.470201	+	0.633096i
$169$	1.52143	+	10.5818i	0.117033	+	0.813983i
$170$	4.91262	−	1.19179i	0.376780	−	0.0914059i
$171$	2.14843	−	7.90753i	0.164294	−	0.604704i
$172$	0.631800	+	1.22552i	0.0481743	+	0.0934451i
$173$	−23.9655	−	1.14162i	−1.82207	−	0.0867957i	−0.891522	−	0.452977i	$-0.850362\pi$
$173$	−23.9655	−	1.14162i	−1.82207	−	0.0867957i	−0.930543	+	0.366182i	$0.880665\pi$
$174$	4.03603	+	0.935838i	0.305971	+	0.0709457i
$175$	−1.54263	+	2.49494i	−0.116612	+	0.188600i
$176$	−2.18415	−	15.1911i	−0.164636	−	1.14507i
$177$	2.55563	+	16.5780i	0.192093	+	1.24608i
$178$	2.51546	−	26.3430i	0.188541	−	1.97449i
$179$	4.53808	+	1.10093i	0.339192	+	0.0822871i	0.401737	−	0.915755i	$-0.368407\pi$
$179$	4.53808	+	1.10093i	0.339192	+	0.0822871i	−0.0625451	+	0.998042i	$0.519922\pi$
$180$	1.77733	−	3.22809i	0.132474	−	0.240608i
$181$	9.64441	+	1.38666i	0.716863	+	0.103069i	0.491088	−	0.871110i	$-0.336599\pi$
$181$	9.64441	+	1.38666i	0.716863	+	0.103069i	0.225775	+	0.974179i	$0.427508\pi$
$182$	1.42459	−	6.35363i	0.105597	−	0.470962i
$183$	−2.65581	+	1.40348i	−0.196323	+	0.103749i
$184$	9.44744	+	5.01751i	0.696474	+	0.369896i
$185$	18.0909	+	10.4448i	1.33007	+	0.767915i
$186$	1.46372	+	2.47681i	0.107325	+	0.181609i
$187$	4.64127	−	1.85808i	0.339403	−	0.135876i
$188$	−5.16271	−	2.35773i	−0.376530	−	0.171955i
$189$	−12.5037	+	5.71470i	−0.909509	+	0.415684i
$190$	3.62484	+	7.93728i	0.262973	+	0.575831i
$191$	5.05653	−	14.6099i	0.365878	−	1.05713i	−0.600415	−	0.799688i	$-0.704998\pi$
$191$	5.05653	−	14.6099i	0.365878	−	1.05713i	0.966293	−	0.257446i	$-0.0828808\pi$
$192$	0.764943	+	7.23377i	0.0552050	+	0.522052i
$193$	−7.20346	+	6.86849i	−0.518516	+	0.494404i	−0.903541	−	0.428502i	$-0.859042\pi$
$193$	−7.20346	+	6.86849i	−0.518516	+	0.494404i	0.385024	+	0.922906i	$0.374193\pi$
$194$	−5.46135	−	1.05259i	−0.392102	−	0.0755715i
$195$	0.441046	−	5.17352i	0.0315840	−	0.370483i
$196$	2.40308	−	3.63657i	0.171649	−	0.259755i
$197$	−8.32490	−	7.21356i	−0.593124	−	0.513945i	0.305773	−	0.952104i	$-0.401085\pi$
$197$	−8.32490	−	7.21356i	−0.593124	−	0.513945i	−0.898897	+	0.438159i	$0.855631\pi$
$198$	5.41436	−	14.3631i	0.384782	−	1.02074i
$199$	−2.33995	+	5.84490i	−0.165874	+	0.414334i	−0.987895	−	0.155123i	$-0.950422\pi$
$199$	−2.33995	+	5.84490i	−0.165874	+	0.414334i	0.822021	+	0.569458i	$0.192847\pi$
$200$	0.468011	+	2.42827i	0.0330934	+	0.171705i
$201$	3.18154	−	23.8445i	0.224408	−	1.68186i
$202$	13.9188	−	4.08692i	0.979322	−	0.287555i
$203$	3.84956	+	0.672575i	0.270186	+	0.0472055i
$204$	1.60703	−	0.574536i	0.112514	−	0.0402256i
$205$	−9.66925	+	18.7557i	−0.675330	+	1.30996i
$206$	−9.83698	+	17.0381i	−0.685375	+	1.18710i
$207$	7.87617	+	12.0402i	0.547432	+	0.836850i
$208$	−3.69101	−	6.39302i	−0.255926	−	0.443276i
$209$	4.66553	+	7.25970i	0.322721	+	0.502164i
$210$	6.34682	−	13.1923i	0.437972	−	0.910357i
$211$	4.90968	−	10.7507i	0.337996	−	0.740109i	−0.661959	−	0.749540i	$-0.730275\pi$
$211$	4.90968	−	10.7507i	0.337996	−	0.740109i	0.999956	+	0.00943113i	$0.00300207\pi$
$212$	0.446141	+	0.425395i	0.0306411	+	0.0292162i
$213$	7.97507	−	3.28709i	0.546443	−	0.225228i
$214$	−2.31493	−	12.0110i	−0.158245	−	0.821055i
$215$	2.70007	+	3.43342i	0.184143	+	0.234157i
$216$	−4.49134	+	10.6845i	−0.305597	+	0.726987i
$217$	1.50668	+	2.25695i	0.102280	+	0.153211i
$218$	17.8470	+	11.4696i	1.20875	+	0.776817i
$219$	10.7084	−	5.02241i	0.723608	−	0.339383i
$220$	1.26930	+	3.66741i	0.0855763	+	0.247257i
$221$	1.74036	−	1.65943i	0.117069	−	0.111625i
$222$	27.1437	+	12.0645i	1.82176	+	0.809716i
$223$	−8.18959	−	9.45129i	−0.548415	−	0.632905i	0.412098	−	0.911140i	$-0.364796\pi$
$223$	−8.18959	−	9.45129i	−0.548415	−	0.632905i	−0.960513	+	0.278235i	$0.910251\pi$
$224$	−1.43764	−	8.89543i	−0.0960566	−	0.594351i
$225$	−1.02380	+	3.16460i	−0.0682534	+	0.210973i
$226$	1.00492	+	10.5240i	0.0668463	+	0.700046i
$227$	6.97524	+	5.48539i	0.462963	+	0.364078i	0.822229	−	0.569157i	$-0.192730\pi$
$227$	6.97524	+	5.48539i	0.462963	+	0.364078i	−0.359266	+	0.933235i	$0.616973\pi$
$228$	1.49878	+	2.53614i	0.0992592	+	0.167960i
$229$	23.7932	−	13.7370i	1.57230	−	0.907767i	0.576412	−	0.817159i	$-0.304452\pi$
$229$	23.7932	−	13.7370i	1.57230	−	0.907767i	0.995887	−	0.0906083i	$-0.0288811\pi$
$230$	−14.6465	−	4.49566i	−0.965761	−	0.296435i
$231$	4.35620	−	13.8074i	0.286617	−	0.908459i
$232$	2.77156	−	1.78117i	0.181962	−	0.116940i
$233$	6.31392	+	15.7714i	0.413639	+	1.03322i	0.978170	+	0.207808i	$0.0666329\pi$
$233$	6.31392	+	15.7714i	0.413639	+	1.03322i	−0.564531	+	0.825412i	$0.690943\pi$
$234$	−0.149939	−	7.38168i	−0.00980181	−	0.482556i
$235$	−17.4731	−	4.23892i	−1.13982	−	0.276517i
$236$	−4.91218	−	3.49795i	−0.319756	−	0.227697i
$237$	9.40926	+	3.65648i	0.611197	+	0.237514i
$238$	6.24949	−	2.62921i	0.405094	−	0.170427i
$239$	−0.862977	+	2.93903i	−0.0558213	+	0.190110i	−0.982684	−	0.185292i	$-0.940677\pi$
$239$	−0.862977	+	2.93903i	−0.0558213	+	0.190110i	0.926862	+	0.375402i	$0.122495\pi$
$240$	−4.83742	−	15.8765i	−0.312254	−	1.02483i
$241$	3.67875	+	7.13577i	0.236969	+	0.459656i	0.977092	−	0.212815i	$-0.0682633\pi$
$241$	3.67875	+	7.13577i	0.236969	+	0.459656i	−0.740124	+	0.672471i	$0.765233\pi$
$242$	−0.755506	−	1.46548i	−0.0485658	−	0.0942045i
$243$	−12.2227	+	9.67499i	−0.784087	+	0.620651i
$244$	0.304248	−	1.03617i	0.0194775	−	0.0663341i
$245$	5.29496	−	12.7529i	0.338283	−	0.814755i
$246$	−10.8684	+	27.9678i	−0.692946	+	1.78316i
$247$	3.38117	+	2.40772i	0.215139	+	0.153200i
$248$	2.22327	+	0.539358i	0.141177	+	0.0342493i
$249$	1.23409	−	2.45468i	0.0782072	−	0.155559i
$250$	−7.25301	−	18.1171i	−0.458721	−	1.14583i
$251$	13.7135	−	8.81313i	0.865588	−	0.556280i	−0.0308122	−	0.999525i	$-0.509809\pi$
$251$	13.7135	−	8.81313i	0.865588	−	0.556280i	0.896400	+	0.443246i	$0.146173\pi$
$252$	1.66249	−	4.65446i	0.104727	−	0.293203i
$253$	−14.9703	−	2.33941i	−0.941177	−	0.147077i
$254$	21.7963	−	12.5841i	1.36762	−	0.789596i
$255$	4.65449	−	2.75067i	0.291476	−	0.172253i
$256$	−10.7267	−	8.43556i	−0.670418	−	0.527222i
$257$	1.35838	+	14.2256i	0.0847336	+	0.887370i	0.933494	+	0.358593i	$0.116743\pi$
$257$	1.35838	+	14.2256i	0.0847336	+	0.887370i	−0.848760	+	0.528777i	$0.822651\pi$
$258$	4.33150	+	4.45135i	0.269668	+	0.277129i
$259$	26.1882	+	9.95813i	1.62725	+	0.618768i
$260$	1.22242	+	1.41074i	0.0758111	+	0.0874906i
$261$	4.42090	−	0.300683i	0.273647	−	0.0186118i
$262$	1.22315	−	1.16627i	0.0755664	−	0.0720524i
$263$	5.88587	+	17.0061i	0.362938	+	1.04864i	0.967672	+	0.252213i	$0.0811585\pi$
$263$	5.88587	+	17.0061i	0.362938	+	1.04864i	−0.604733	+	0.796428i	$0.706720\pi$
$264$	−5.18303	−	11.0509i	−0.318993	−	0.680135i
$265$	1.64284	+	1.05579i	0.100919	+	0.0648566i
$266$	6.49792	+	9.73365i	0.398413	+	0.596808i
$267$	−5.63820	−	27.7352i	−0.345052	−	1.69736i
$268$	5.34604	+	6.79805i	0.326562	+	0.415257i
$269$	2.61635	+	13.5749i	0.159522	+	0.827676i	0.970222	+	0.242216i	$0.0778742\pi$
$269$	2.61635	+	13.5749i	0.159522	+	0.827676i	−0.810701	+	0.585461i	$0.800914\pi$
$270$	3.42037	−	16.2436i	0.208157	−	0.988554i
$271$	−12.5101	−	11.9284i	−0.759937	−	0.724599i	0.207354	−	0.978266i	$-0.433515\pi$
$271$	−12.5101	−	11.9284i	−0.759937	−	0.724599i	−0.967292	+	0.253667i	$0.918363\pi$
$272$	3.19313	−	6.99198i	0.193612	−	0.423951i
$273$	−0.523100	−	6.94434i	−0.0316595	−	0.420291i
$274$	−0.984266	−	1.53155i	−0.0594617	−	0.0925242i
$275$	−1.75142	−	3.03354i	−0.105614	−	0.182929i
$276$	−5.07696	−	0.989361i	−0.305597	−	0.0595526i
$277$	9.64040	−	16.6977i	0.579236	−	1.00327i	−0.416331	−	0.909213i	$-0.636684\pi$
$277$	9.64040	−	16.6977i	0.579236	−	1.00327i	0.995567	−	0.0940529i	$-0.0299823\pi$
$278$	−14.3825	+	27.8981i	−0.862603	+	1.67322i
$279$	2.26958	+	2.07770i	0.135876	+	0.124389i
$280$	−3.99867	−	10.9330i	−0.238966	−	0.653372i
$281$	−14.1135	+	4.14410i	−0.841942	+	0.247217i	−0.674139	−	0.738604i	$-0.735485\pi$
$281$	−14.1135	+	4.14410i	−0.841942	+	0.247217i	−0.167803	+	0.985821i	$0.553667\pi$
$282$	−25.3421	−	3.38135i	−1.50910	−	0.201357i
$283$	5.15434	+	26.7432i	0.306393	+	1.58972i	0.729722	+	0.683744i	$0.239649\pi$
$283$	5.15434	+	26.7432i	0.306393	+	1.58972i	−0.423329	+	0.905976i	$0.639138\pi$
$284$	−1.15257	+	2.87898i	−0.0683923	+	0.170836i
$285$	6.18273	+	6.99053i	0.366233	+	0.414084i
$286$	5.87636	+	5.09190i	0.347477	+	0.301090i
$287$	−8.78903	+	26.9025i	−0.518800	+	1.58800i
$288$	−3.98925	−	9.40638i	−0.235069	−	0.554276i
$289$	−14.2341	−	2.74340i	−0.837301	−	0.161377i
$290$	−3.41501	+	3.25621i	−0.200536	+	0.191211i
$291$	−5.91552	+	0.625543i	−0.346774	+	0.0366700i
$292$	−1.39075	+	4.01832i	−0.0813878	+	0.235154i
$293$	9.46578	+	20.7272i	0.552997	+	1.21089i	0.955368	+	0.295417i	$0.0954587\pi$
$293$	9.46578	+	20.7272i	0.552997	+	1.21089i	−0.402372	+	0.915476i	$0.631814\pi$
$294$	5.58049	−	18.8253i	0.325461	−	1.09792i
$295$	−17.3774	−	7.93597i	−1.01175	−	0.462050i
$296$	21.9284	−	8.77880i	1.27456	−	0.510257i
$297$	1.06201	−	16.3824i	0.0616240	−	0.950605i
$298$	−30.8534	−	17.8132i	−1.78729	−	1.03189i
$299$	−7.10312	+	1.63159i	−0.410784	+	0.0943571i
$300$	−0.558695	−	1.05722i	−0.0322563	−	0.0610386i
$301$	4.30972	+	3.96822i	0.248408	+	0.228724i
$302$	16.5390	+	2.37795i	0.951714	+	0.136836i
$303$	12.9660	−	8.52004i	0.744879	−	0.489464i
$304$	12.8941	+	3.12808i	0.739529	+	0.179408i
$305$	0.325196	−	3.40560i	0.0186207	−	0.195004i
$306$	6.17048	−	4.58564i	0.352743	−	0.262144i
$307$	2.63710	+	18.3414i	0.150507	+	1.04680i	0.915372	+	0.402609i	$0.131897\pi$
$307$	2.63710	+	18.3414i	0.150507	+	1.04680i	−0.764865	+	0.644191i	$0.777194\pi$
$308$	2.46539	+	4.58420i	0.140479	+	0.261209i
$309$	−4.75284	+	20.4978i	−0.270380	+	1.16608i
$310$	−3.27290	−	0.155908i	−0.185888	−	0.00885496i
$311$	−3.77179	−	7.31625i	−0.213879	−	0.414867i	0.757352	−	0.653007i	$-0.226493\pi$
$311$	−3.77179	−	7.31625i	−0.213879	−	0.414867i	−0.971231	+	0.238140i	$0.923462\pi$
$312$	−4.29000	−	4.00813i	−0.242874	−	0.226916i
$313$	−4.63612	+	1.12471i	−0.262049	+	0.0635724i	−0.364631	−	0.931152i	$-0.618805\pi$
$313$	−4.63612	+	1.12471i	−0.262049	+	0.0635724i	0.102582	+	0.994725i	$0.467290\pi$
$314$	−1.53605	−	10.6835i	−0.0866845	−	0.602904i
$315$	2.38096	−	15.4752i	0.134152	−	0.871931i
$316$	−3.30121	+	1.50761i	−0.185708	+	0.0848099i
$317$	9.84164	−	10.3216i	0.552762	−	0.579720i	−0.386772	−	0.922175i	$-0.626410\pi$
$317$	9.84164	−	10.3216i	0.552762	−	0.579720i	0.939534	+	0.342455i	$0.111259\pi$
$318$	2.48097	+	1.24731i	0.139126	+	0.0699454i
$319$	−2.88469	+	3.66818i	−0.161512	+	0.205379i
$320$	−7.36356	−	3.79618i	−0.411635	−	0.212213i
$321$	−6.11246	−	11.5666i	−0.341164	−	0.645585i
$322$	−20.3546	−	2.81829i	−1.13432	−	0.157057i
$323$			4.32210i			0.240488i
$324$	0.571647	−	5.57499i	0.0317582	−	0.309721i
$325$	−1.32439	−	1.04151i	−0.0734637	−	0.0577725i
$326$	15.7121	−	11.1885i	0.870210	−	0.619674i
$327$	21.8342	+	6.17098i	1.20744	+	0.341256i
$328$	9.91179	+	21.7038i	0.547287	+	1.19839i
$329$	−24.0422	−	1.87351i	−1.32549	−	0.103290i
$330$	10.2846	+	14.1366i	0.566147	+	0.778196i
$331$	0.373176	+	1.53825i	0.0205116	+	0.0845500i	0.981147	−	0.193261i	$-0.0619063\pi$
$331$	0.373176	+	1.53825i	0.0205116	+	0.0845500i	−0.960636	+	0.277811i	$0.910391\pi$
$332$	0.323057	+	0.933411i	0.0177300	+	0.0512276i
$333$	31.5309	+	3.88166i	1.72788	+	0.212714i
$334$	−0.617552	+	12.9640i	−0.0337910	+	0.709360i
$335$	20.7055	+	17.9414i	1.13126	+	0.980244i
$336$	−9.80233	−	19.9861i	−0.534761	−	1.09033i
$337$	20.5261	−	2.95120i	1.11813	−	0.160762i	0.441622	−	0.897201i	$-0.354403\pi$
$337$	20.5261	−	2.95120i	1.11813	−	0.160762i	0.676504	+	0.736439i	$0.263494\pi$
$338$	−16.3609	−	5.66257i	−0.889916	−	0.308003i
$339$	4.30868	+	10.4536i	0.234015	+	0.567763i
$340$	−0.458245	+	1.88891i	−0.0248518	+	0.102441i
$341$	−3.22582	+	0.308028i	−0.174688	+	0.0166807i
$342$	9.78814	+	8.96061i	0.529282	+	0.484534i
$343$	4.28181	−	18.0185i	0.231196	−	0.972907i
$344$	4.93892			0.266289
$345$	−16.3859	−	0.0337762i	−0.882189	−	0.00181845i
$346$	19.4278	−	33.6499i	1.04444	−	1.80903i
$347$	−16.0898	+	0.766449i	−0.863743	+	0.0411452i	−0.474776	−	0.880107i	$-0.657471\pi$
$347$	−16.0898	+	0.766449i	−0.863743	+	0.0411452i	−0.388967	+	0.921252i	$0.627168\pi$
$348$	−1.03094	+	1.21447i	−0.0552640	+	0.0651022i
$349$	−5.90621	+	12.9328i	−0.316152	+	0.692276i	−0.999277	−	0.0380253i	$-0.987893\pi$
$349$	−5.90621	+	12.9328i	−0.316152	+	0.692276i	0.683125	+	0.730302i	$0.260621\pi$
$350$	−2.44657	−	4.07199i	−0.130775	−	0.217657i
$351$	−2.45444	−	7.50531i	−0.131008	−	0.400604i
$352$	10.1685	+	3.51934i	0.541982	+	0.187582i
$353$	3.42744	−	8.56132i	0.182424	−	0.455673i	−0.808764	−	0.588133i	$-0.799863\pi$
$353$	3.42744	−	8.56132i	0.182424	−	0.455673i	0.991188	+	0.132460i	$0.0422875\pi$
$354$	−25.7595	−	8.62356i	−1.36910	−	0.458337i
$355$	−1.85922	+	9.64657i	−0.0986774	+	0.511987i
$356$	8.55978	+	5.50104i	0.453668	+	0.291554i
$357$	5.57414	−	4.63800i	0.295015	−	0.245469i
$358$	−4.95236	+	5.71533i	−0.261741	+	0.302065i
$359$	−2.47989	−	10.2222i	−0.130884	−	0.539510i	−0.999064	−	0.0432606i	$-0.986225\pi$
$359$	−2.47989	−	10.2222i	−0.130884	−	0.539510i	0.868180	−	0.496249i	$-0.165290\pi$
$360$	−7.36050	−	10.9573i	−0.387932	−	0.577502i
$361$	11.3309	−	2.18386i	0.596365	−	0.114940i
$362$	−9.15299	+	12.8536i	−0.481070	+	0.675569i
$363$	−1.22977	−	1.26379i	−0.0645460	−	0.0663319i
$364$	1.92041	+	1.60631i	0.100657	+	0.0841933i
$365$	−1.91707	+	13.3335i	−0.100344	+	0.697908i
$366$	−0.0493985	−	4.86440i	−0.00258210	−	0.254266i
$367$	−12.1221	−	6.99870i	−0.632769	−	0.365329i	0.149055	−	0.988829i	$-0.452377\pi$
$367$	−12.1221	−	6.99870i	−0.632769	−	0.365329i	−0.781824	+	0.623500i	$0.785710\pi$
$368$	−19.1404	+	13.2804i	−0.997760	+	0.692290i
$369$	−2.40107	+	32.0013i	−0.124995	+	1.66592i
$370$	−28.4596	+	18.2899i	−1.47955	+	0.950847i
$371$	2.40112	+	1.04637i	0.124660	+	0.0543246i
$372$	−1.10436	+	0.0638532i	−0.0572587	+	0.00331063i
$373$	−4.80639	+	5.04080i	−0.248866	+	0.261003i	−0.836304	−	0.548266i	$-0.815288\pi$
$373$	−4.80639	+	5.04080i	−0.248866	+	0.261003i	0.587438	+	0.809269i	$0.300137\pi$
$374$	−0.769608	+	8.05970i	−0.0397955	+	0.416757i
$375$	−13.0679	−	16.2744i	−0.674825	−	0.840404i
$376$	−15.9807	+	12.5674i	−0.824143	+	0.648114i
$377$	−0.632381	+	2.15369i	−0.0325693	+	0.110921i
$378$	1.05280	−	22.2392i	0.0541502	−	1.14386i
$379$	−13.3574	+	20.7846i	−0.686125	+	1.06763i	0.307129	+	0.951668i	$0.400632\pi$
$379$	−13.3574	+	20.7846i	−0.686125	+	1.06763i	−0.993254	+	0.115963i	$0.963005\pi$
$380$	−3.35130	−	0.159642i	−0.171918	−	0.00818946i
$381$	18.3766	−	19.6689i	0.941462	−	1.00767i
$382$	17.2777	+	18.1204i	0.884006	+	0.927119i
$383$	5.50187	−	4.32672i	0.281133	−	0.221085i	−0.467628	−	0.883925i	$-0.654891\pi$
$383$	5.50187	−	4.32672i	0.281133	−	0.221085i	0.748761	+	0.662840i	$0.230649\pi$
$384$	−21.9771	−	8.54040i	−1.12151	−	0.435825i
$385$	10.4174	+	12.7819i	0.530920	+	0.651424i
$386$	−4.54122	−	15.4660i	−0.231142	−	0.787198i
$387$	5.81906	+	3.20386i	0.295799	+	0.162862i
$388$	1.32196	−	1.68101i	0.0671125	−	0.0853405i
$389$	−0.446186	−	9.36660i	−0.0226225	−	0.474905i	−0.981544	−	0.191235i	$-0.938751\pi$
$389$	−0.446186	−	9.36660i	−0.0226225	−	0.474905i	0.958922	−	0.283671i	$-0.0915522\pi$
$390$	7.11970	+	4.47405i	0.360520	+	0.226552i
$391$	−5.67410	−	5.03930i	−0.286952	−	0.254848i
$392$	−7.63393	−	13.6201i	−0.385572	−	0.687920i
$393$	0.887826	−	1.57447i	0.0447849	−	0.0794215i
$394$	16.5613	−	6.63015i	0.834346	−	0.334022i
$395$	−9.36514	+	6.66889i	−0.471211	+	0.335548i
$396$	3.95479	+	4.38104i	0.198736	+	0.220155i
$397$	22.0313	−	30.9386i	1.10572	−	1.55276i	0.306354	−	0.951918i	$-0.400891\pi$
$397$	22.0313	−	30.9386i	1.10572	−	1.55276i	0.799364	−	0.600847i	$-0.205170\pi$
$398$	−6.67697	−	7.70564i	−0.334686	−	0.386249i
$399$	9.68208	+	7.93275i	0.484710	+	0.397134i
$400$	−5.16749	−	1.51731i	−0.258374	−	0.0758655i
$401$	−4.51729	−	0.870637i	−0.225583	−	0.0434775i	0.0752072	−	0.997168i	$-0.476038\pi$
$401$	−4.51729	−	0.870637i	−0.225583	−	0.0434775i	−0.300790	+	0.953690i	$0.597250\pi$
$402$	31.9619	+	22.2743i	1.59411	+	1.11094i
$403$	−1.38540	+	0.714224i	−0.0690118	+	0.0355781i
$404$	−1.05559	+	5.47694i	−0.0525178	+	0.272488i
$405$	−1.56419	−	17.6847i	−0.0777250	−	0.878760i
$406$	−3.82484	+	5.04213i	−0.189824	+	0.250237i
$407$	−25.2852	+	21.9097i	−1.25334	+	1.08603i
$408$	0.808521	−	6.05959i	0.0400278	−	0.299994i
$409$	−6.75794	+	27.8566i	−0.334159	+	1.37742i	0.518556	+	0.855044i	$0.326470\pi$
$409$	−6.75794	+	27.8566i	−0.334159	+	1.37742i	−0.852715	+	0.522377i	$0.825045\pi$
$410$	−19.8224	−	27.8367i	−0.978959	−	1.37476i
$411$	−1.48440	−	1.26008i	−0.0732201	−	0.0621550i
$412$	−4.08977	−	6.36381i	−0.201489	−	0.313523i
$413$	−24.7066	−	6.78905i	−1.21573	−	0.334067i
$414$	−23.1760	+	2.40247i	−1.13904	+	0.118075i
$415$	1.56454	+	2.70986i	0.0768001	+	0.133022i
$416$	5.16981	−	0.246269i	0.253471	−	0.0120743i
$417$	−6.01796	+	33.0253i	−0.294701	+	1.61726i
$418$	−13.9122	+	1.32845i	−0.680466	+	0.0649766i
$419$	10.3901	−	3.05080i	0.507588	−	0.149041i	−0.0179040	−	0.999840i	$-0.505699\pi$
$419$	10.3901	−	3.05080i	0.507588	−	0.149041i	0.525492	+	0.850798i	$0.323881\pi$
$420$	3.39036	+	4.49343i	0.165432	+	0.219257i
$421$	−2.86212	+	2.48004i	−0.139491	+	0.120870i	−0.721812	−	0.692089i	$-0.756690\pi$
$421$	−2.86212	+	2.48004i	−0.139491	+	0.120870i	0.582320	+	0.812959i	$0.302145\pi$
$422$	11.8316	+	15.0451i	0.575955	+	0.732386i
$423$	−26.9810	+	4.44030i	−1.31186	+	0.215895i
$424$	2.08669	−	0.722211i	0.101339	−	0.0350736i
$425$	0.0834764	−	1.75239i	0.00404920	−	0.0850032i
$426$	−1.18660	+	13.9190i	−0.0574910	+	0.674376i
$427$	−0.298181	−	4.57876i	−0.0144300	−	0.221582i
$428$	4.51274	+	1.32506i	0.218131	+	0.0640492i
$429$	7.59925	+	3.37762i	0.366895	+	0.163073i
$430$	−6.94589	+	1.33871i	−0.334961	+	0.0645584i
$431$	−31.8709	−	3.04330i	−1.53517	−	0.146591i	−0.707057	−	0.707157i	$-0.749977\pi$
$431$	−31.8709	−	3.04330i	−1.53517	−	0.146591i	−0.828110	+	0.560566i	$0.810584\pi$
$432$	−16.2001	−	19.3563i	−0.779426	−	0.931281i
$433$	−19.4256	−	8.87135i	−0.933533	−	0.426330i	−0.110213	−	0.993908i	$-0.535153\pi$
$433$	−19.4256	−	8.87135i	−0.933533	−	0.426330i	−0.823320	+	0.567578i	$0.807881\pi$
$434$	−4.36683	+	0.493930i	−0.209615	+	0.0237094i
$435$	−2.47880	+	4.39589i	−0.118849	+	0.210767i
$436$	−7.06428	+	4.07856i	−0.338318	+	0.195328i
$437$	6.68775	−	11.2635i	0.319919	−	0.538806i
$438$	−0.717081	+	19.1412i	−0.0342635	+	0.914603i
$439$	−12.5319	−	6.46063i	−0.598114	−	0.308349i	0.132454	−	0.991189i	$-0.457714\pi$
$439$	−12.5319	−	6.46063i	−0.598114	−	0.308349i	−0.730568	+	0.682840i	$0.760745\pi$
$440$	13.7599	+	1.97838i	0.655979	+	0.0943156i
$441$	−0.158999	−	20.9994i	−0.00757139	−	0.999971i
$442$	1.09716	+	3.73659i	0.0521866	+	0.177731i
$443$	14.0060	+	9.97361i	0.665444	+	0.473860i	0.862184	−	0.506595i	$-0.169096\pi$
$443$	14.0060	+	9.97361i	0.665444	+	0.473860i	−0.196740	+	0.980456i	$0.563036\pi$
$444$	−8.90557	+	7.15097i	−0.422640	+	0.339370i
$445$	29.9248	+	11.9801i	1.41857	+	0.567910i
$446$	19.6820	−	4.77479i	0.931968	−	0.226093i
$447$	−37.1183	−	8.60666i	−1.75563	−	0.407081i
$448$	−10.5620	−	3.45060i	−0.499008	−	0.163026i
$449$	14.3642	−	22.3511i	0.677887	−	1.05481i	−0.316457	−	0.948607i	$-0.602493\pi$
$449$	14.3642	−	22.3511i	0.677887	−	1.05481i	0.994344	−	0.106206i	$-0.0338702\pi$
$450$	−3.79552	−	3.82211i	−0.178922	−	0.180176i
$451$	−23.3223	−	24.4597i	−1.09820	−	1.15176i
$452$	−3.77373	−	1.51077i	−0.177501	−	0.0710608i
$453$	17.6620	−	2.72275i	0.829834	−	0.127926i
$454$	−13.0721	+	5.96985i	−0.613506	+	0.280179i
$455$	6.93683	+	3.84535i	0.325203	+	0.180273i
$456$	10.5348	−	0.609111i	0.493337	−	0.0285242i
$457$	7.07575	+	17.6744i	0.330989	+	0.826772i	0.996746	+	0.0806029i	$0.0256846\pi$
$457$	7.07575	+	17.6744i	0.330989	+	0.826772i	−0.665757	+	0.746169i	$0.731891\pi$
$458$	2.11708	+	44.4430i	0.0989248	+	2.07669i
$459$	4.88344	−	6.61495i	0.227940	−	0.308760i
$460$	4.11699	−	4.21349i	0.191955	−	0.196455i
$461$		−	4.05382i		−	0.188805i	−0.995534	−	0.0944025i	$-0.969906\pi$
$461$		−	4.05382i		−	0.188805i	0.995534	−	0.0944025i	$-0.0300941\pi$
$462$	16.6423	+	16.5168i	0.774269	+	0.768429i
$463$	4.85765	−	33.7857i	0.225754	−	1.57015i	−0.489950	−	0.871751i	$-0.662985\pi$
$463$	4.85765	−	33.7857i	0.225754	−	1.57015i	0.715704	−	0.698404i	$-0.246106\pi$
$464$	0.682019	+	7.14243i	0.0316620	+	0.331579i
$465$	−3.39704	+	0.860731i	−0.157534	+	0.0399155i
$466$	−27.3875	−	2.61519i	−1.26870	−	0.121146i
$467$	11.0091	−	31.8088i	0.509442	−	1.47194i	−0.338049	−	0.941128i	$-0.609767\pi$
$467$	11.0091	−	31.8088i	0.509442	−	1.47194i	0.847492	−	0.530809i	$-0.178112\pi$
$468$	2.54918	+	1.24933i	0.117836	+	0.0577503i
$469$	31.2542	+	19.3245i	1.44318	+	0.892323i
$470$	19.0682	−	22.0059i	0.879551	−	1.01506i
$471$	−4.90178	−	10.4512i	−0.225862	−	0.481567i
$472$	−19.1998	+	9.89818i	−0.883742	+	0.455601i
$473$	−6.61098	+	2.28808i	−0.303973	+	0.105206i
$474$	−12.2458	+	10.8307i	−0.562467	+	0.497470i
$475$	2.99747	−	0.430971i	0.137533	−	0.0197743i
$476$	−0.202534	+	2.59906i	−0.00928315	+	0.119128i
$477$	2.92704	+	0.502719i	0.134020	+	0.0230179i
$478$	−3.59017	−	3.42322i	−0.164210	−	0.156574i
$479$	−1.50369	−	2.11163i	−0.0687052	−	0.0964829i	0.778794	−	0.627280i	$-0.215832\pi$
$479$	−1.50369	−	2.11163i	−0.0687052	−	0.0964829i	−0.847499	+	0.530797i	$0.821893\pi$
$480$	11.4481	+	2.08609i	0.522530	+	0.0952167i
$481$	−7.37415	+	14.3039i	−0.336232	+	0.652200i
$482$	−13.0015			−0.592202
$483$	−21.7029	+	3.46165i	−0.987517	+	0.157511i
$484$	0.633953			0.0288160
$485$	3.10438	−	6.02165i	0.140963	−	0.273429i
$486$	−4.85631	−	24.7736i	−0.220287	−	1.12375i
$487$	7.98542	+	11.2140i	0.361854	+	0.508153i	0.954864	−	0.297042i	$-0.0960001\pi$
$487$	7.98542	+	11.2140i	0.361854	+	0.508153i	−0.593010	+	0.805195i	$0.702061\pi$
$488$	−2.79964	−	2.66945i	−0.126734	−	0.120840i
$489$	12.5870	−	16.3445i	0.569203	−	0.739125i
$490$	14.4278	+	17.0856i	0.651783	+	0.771847i
$491$	40.0930	−	5.76450i	1.80937	−	0.260148i	0.846943	−	0.531683i	$-0.178440\pi$
$491$	40.0930	−	5.76450i	1.80937	−	0.260148i	0.962429	+	0.271535i	$0.0875313\pi$
$492$	−7.64337	−	8.64202i	−0.344590	−	0.389612i
$493$	−2.20868	+	0.764433i	−0.0994741	+	0.0344283i
$494$	−5.97489	+	3.08027i	−0.268823	+	0.138588i
$495$	14.9287	+	11.2570i	0.670993	+	0.505963i
$496$	−3.26271	+	3.76537i	−0.146500	+	0.169070i
$497$	−0.397456	+	13.1703i	−0.0178283	+	0.590770i
$498$	2.61758	+	3.59799i	0.117297	+	0.161230i
$499$	8.32360	−	24.0495i	0.372616	−	1.07660i	−0.590389	−	0.807118i	$-0.701026\pi$
$499$	8.32360	−	24.0495i	0.372616	−	1.07660i	0.963005	−	0.269483i	$-0.0868529\pi$
$500$	7.46960	+	0.713261i	0.334051	+	0.0318980i
$501$	3.40937	+	13.4557i	0.152319	+	0.601158i
$502$	2.50943	+	26.2799i	0.112001	+	1.17293i
$503$	−2.87737	+	20.0126i	−0.128296	+	0.892317i	0.819418	+	0.573196i	$0.194297\pi$
$503$	−2.87737	+	20.0126i	−0.128296	+	0.892317i	−0.947714	+	0.319121i	$0.896612\pi$
$504$	−12.0903	−	12.9329i	−0.538547	−	0.576079i
$505$			17.6699i			0.786299i
$506$	14.4767	−	19.8129i	0.643569	−	0.880793i
$507$	−18.5037	−	0.693197i	−0.821777	−	0.0307859i
$508$	0.460461	+	9.66627i	0.0204297	+	0.428871i
$509$	−9.76718	−	24.3972i	−0.432923	−	1.08139i	−0.971125	−	0.238573i	$-0.923320\pi$
$509$	−9.76718	−	24.3972i	−0.432923	−	1.08139i	0.538202	−	0.842816i	$-0.319104\pi$
$510$	0.505402	+	8.74111i	0.0223796	+	0.387063i
$511$	0.314911	+	18.0644i	0.0139308	+	0.799121i
$512$	−4.66278	+	2.12942i	−0.206068	+	0.0941079i
$513$	12.8073	+	6.11624i	0.565455	+	0.270038i
$514$	−21.4850	−	8.60131i	−0.947664	−	0.379388i
$515$	−16.5373	−	17.3438i	−0.728720	−	0.764260i
$516$	−2.28446	+	0.696051i	−0.100568	+	0.0306419i
$517$	15.5688	−	24.2256i	0.684716	−	1.06544i
$518$	−33.7680	+	30.3066i	−1.48368	+	1.33160i
$519$	9.38674	−	40.4826i	0.412032	−	1.77699i
$520$	6.49808	−	1.57642i	0.284960	−	0.0691304i
$521$	−16.6373	−	6.66057i	−0.728893	−	0.291805i	−0.0226197	−	0.999744i	$-0.507201\pi$
$521$	−16.6373	−	6.66057i	−0.728893	−	0.291805i	−0.706273	+	0.707939i	$0.749625\pi$
$522$	−2.84787	+	6.58678i	−0.124648	+	0.288295i
$523$	19.4792	+	13.8711i	0.851768	+	0.606541i	0.920346	−	0.391105i	$-0.127907\pi$
$523$	19.4792	+	13.8711i	0.851768	+	0.606541i	−0.0685784	+	0.997646i	$0.521846\pi$
$524$	0.183078	+	0.623506i	0.00799780	+	0.0272380i
$525$	−3.77237	−	3.40332i	−0.164640	−	0.148533i
$526$	−28.8472	−	4.14760i	−1.25780	−	0.180844i
$527$	−1.44256	−	0.743693i	−0.0628391	−	0.0323958i
$528$	26.5637	+	0.995146i	1.15604	+	0.0433082i
$529$	6.98934	+	21.9123i	0.303884	+	0.952709i
$530$	−2.73888	+	1.58129i	−0.118969	+	0.0686869i
$531$	−29.0422	−	0.792770i	−1.26033	−	0.0344033i
$532$	−4.47143	+	0.505760i	−0.193861	+	0.0219275i
$533$	−14.7870	−	6.75301i	−0.640497	−	0.292505i
$534$	44.1073	+	12.4660i	1.90871	+	0.539455i
$535$	14.8321	+	1.41629i	0.641247	+	0.0612317i
$536$	30.4190	−	5.86278i	1.31390	−	0.253234i
$537$	−3.28507	+	7.39100i	−0.141761	+	0.318945i
$538$	−21.4819	−	6.30765i	−0.926149	−	0.271942i
$539$	16.5283	+	14.6946i	0.711923	+	0.632940i
$540$	4.94877	+	4.03089i	0.212961	+	0.173462i
$541$	0.216879	−	4.55286i	0.00932437	−	0.195743i	−0.989399	−	0.145224i	$-0.953610\pi$
$541$	0.216879	−	4.55286i	0.00932437	−	0.195743i	0.998723	−	0.0505183i	$-0.0160873\pi$
$542$	26.4539	−	9.15577i	1.13629	−	0.393274i
$543$	−5.35749	+	16.0034i	−0.229912	+	0.686773i
$544$	3.33140	+	4.23622i	0.142833	+	0.181626i
$545$	−19.5295	+	16.9224i	−0.836550	+	0.724875i
$546$	10.3842	+	4.40032i	0.444402	+	0.188316i
$547$	40.7545	−	11.9666i	1.74254	−	0.511655i	0.753261	−	0.657721i	$-0.228480\pi$
$547$	40.7545	−	11.9666i	1.74254	−	0.511655i	0.989275	+	0.146066i	$0.0466613\pi$
$548$	0.696837	−	0.0665399i	0.0297674	−	0.00284244i
$549$	−1.56688	−	4.96127i	−0.0668729	−	0.211742i
$550$	5.66631	−	0.269920i	0.241612	−	0.0115094i
$551$	−2.01719	−	3.49388i	−0.0859352	−	0.148844i
$552$	−11.4833	+	14.5404i	−0.488761	+	0.618880i
$553$	−10.9728	+	10.8339i	−0.466611	+	0.460705i
$554$	16.8814	+	26.2679i	0.717221	+	1.11602i
$555$	−23.4151	+	27.5835i	−0.993917	+	1.17086i
$556$	−7.00040	−	9.83069i	−0.296883	−	0.416914i
$557$	−5.30022	+	21.8478i	−0.224578	+	0.925721i	0.742216	+	0.670161i	$0.233775\pi$
$557$	−5.30022	+	21.8478i	−0.224578	+	0.925721i	−0.966793	+	0.255560i	$0.917740\pi$
$558$	−4.67496	+	1.72511i	−0.197907	+	0.0730295i
$559$	−2.54305	+	2.20357i	−0.107560	+	0.0932009i
$560$	25.1536	+	3.17010i	1.06293	+	0.133961i
$561$	1.72502	+	8.48562i	0.0728303	+	0.358263i
$562$	4.50823	−	23.3909i	0.190168	−	0.986686i
$563$	−17.1325	+	8.83243i	−0.722050	+	0.372243i	−0.779750	−	0.626091i	$-0.784654\pi$
$563$	−17.1325	+	8.83243i	−0.722050	+	0.372243i	0.0576996	+	0.998334i	$0.481623\pi$
$564$	5.62061	−	8.06513i	0.236670	−	0.339603i
$565$	−12.6446	−	2.43705i	−0.531963	−	0.102527i
$566$	−42.3204	−	12.4264i	−1.77886	−	0.522320i
$567$	−5.85534	−	23.0806i	−0.245901	−	0.969295i
$568$	7.27444	+	8.39515i	0.305229	+	0.352253i
$569$	−22.1965	+	31.1707i	−0.930527	+	1.30674i	0.0211927	+	0.999775i	$0.493254\pi$
$569$	−22.1965	+	31.1707i	−0.930527	+	1.30674i	−0.951720	+	0.306967i	$0.900686\pi$
$570$	−14.6506	+	3.71212i	−0.613646	+	0.155484i
$571$	15.2435	−	10.8548i	0.637920	−	0.454261i	−0.214780	−	0.976663i	$-0.568903\pi$
$571$	15.2435	−	10.8548i	0.637920	−	0.454261i	0.852699	+	0.522402i	$0.174964\pi$
$572$	−2.77555	+	1.11116i	−0.116052	+	0.0464601i
$573$	23.3250	+	13.1527i	0.974417	+	0.549463i
$574$	−32.2024	−	32.6153i	−1.34410	−	1.36133i
$575$	−2.92908	+	4.43759i	−0.122151	+	0.185061i
$576$	−12.5638	−	0.942670i	−0.523492	−	0.0392779i
$577$	1.35207	+	28.3835i	0.0562876	+	1.18162i	0.833549	+	0.552445i	$0.186305\pi$
$577$	1.35207	+	28.3835i	0.0562876	+	1.18162i	−0.777262	+	0.629177i	$0.783392\pi$
$578$	14.5119	−	18.4534i	0.603616	−	0.767560i
$579$	−9.46713	−	14.4073i	−0.393440	−	0.598749i
$580$	−0.511151	−	1.74082i	−0.0212244	−	0.0722836i
$581$	2.65139	+	3.25318i	0.109998	+	0.134965i
$582$	3.48938	−	8.97926i	0.144640	−	0.372202i
$583$	−2.45855	+	1.93343i	−0.101823	+	0.0800744i
$584$	10.5110	+	11.0236i	0.434948	+	0.456160i
$585$	8.67868	+	2.35794i	0.358819	+	0.0974890i
$586$	−36.8600	−	1.75586i	−1.52267	−	0.0725339i
$587$	13.7271	−	21.3598i	0.566578	−	0.881612i	−0.433229	−	0.901284i	$-0.642626\pi$
$587$	13.7271	−	21.3598i	0.566578	−	0.881612i	0.999806	+	0.0196720i	$0.00626218\pi$
$588$	5.45052	+	5.22400i	0.224776	+	0.215434i
$589$	0.789271	−	2.68801i	0.0325214	−	0.110758i
$590$	24.3189	−	19.1246i	1.00119	−	0.787346i
$591$	14.8768	−	11.9457i	0.611949	−	0.491380i
$592$	−4.88975	+	51.2077i	−0.200967	+	2.10463i
$593$	28.1100	−	29.4809i	1.15434	−	1.21064i	0.180458	−	0.983583i	$-0.442242\pi$
$593$	28.1100	−	29.4809i	1.15434	−	1.21064i	0.973882	−	0.227054i	$-0.0729094\pi$
$594$	22.7935	+	13.6859i	0.935228	+	0.561538i
$595$	0.928206	+	8.20627i	0.0380527	+	0.336424i
$596$	11.5239	−	7.40594i	0.472036	−	0.303359i
$597$	−9.23310	−	5.80212i	−0.377886	−	0.237465i
$598$	2.92254	−	11.4353i	0.119512	−	0.467625i
$599$	14.4352	+	8.33419i	0.589808	+	0.340526i	0.765022	−	0.644005i	$-0.222728\pi$
$599$	14.4352	+	8.33419i	0.589808	+	0.340526i	−0.175214	+	0.984530i	$0.556062\pi$
$600$	−4.28307	+	0.0434950i	−0.174856	+	0.00177568i
$601$	−3.96668	+	27.5889i	−0.161804	+	1.12537i	0.733426	+	0.679770i	$0.237920\pi$
$601$	−3.96668	+	27.5889i	−0.161804	+	1.12537i	−0.895230	+	0.445604i	$0.852989\pi$
$602$	−8.91020	+	3.25884i	−0.363153	+	0.132820i
$603$	39.6430	+	12.8252i	1.61439	+	0.522281i
$604$	−3.72669	+	5.23340i	−0.151637	+	0.212944i
$605$	1.97202	−	0.380076i	0.0801741	−	0.0154523i
$606$	2.64222	+	24.9865i	0.107333	+	1.01501i
$607$	−3.75791	−	15.4903i	−0.152529	−	0.628732i	−0.995825	−	0.0912831i	$-0.970903\pi$
$607$	−3.75791	−	15.4903i	−0.152529	−	0.628732i	0.843296	−	0.537449i	$-0.180612\pi$
$608$	−6.09187	+	7.03040i	−0.247058	+	0.285120i
$609$	−2.34137	+	6.35079i	−0.0948772	+	0.257347i
$610$	4.66086	+	2.99535i	0.188713	+	0.121278i
$611$	2.62137	−	13.6010i	0.106049	−	0.550237i
$612$	0.480014	+	2.91676i	0.0194034	+	0.117903i
$613$	16.6816	−	41.6685i	0.673762	−	1.68298i	−0.0552468	−	0.998473i	$-0.517595\pi$
$613$	16.6816	−	41.6685i	0.673762	−	1.68298i	0.729009	−	0.684504i	$-0.239981\pi$
$614$	−28.3584	−	9.81494i	−1.14445	−	0.396099i
$615$	−28.9572	−	22.3001i	−1.16767	−	0.899226i
$616$	18.6421	−	0.324982i	0.751112	−	0.0130939i
$617$	15.6206	−	34.2044i	0.628863	−	1.37702i	−0.280032	−	0.959991i	$-0.590345\pi$
$617$	15.6206	−	34.2044i	0.628863	−	1.37702i	0.908894	−	0.417026i	$-0.136928\pi$
$618$	−25.9784	−	22.0526i	−1.04500	−	0.887084i
$619$	11.1747	−	0.532316i	0.449149	−	0.0213956i	0.178211	−	0.983992i	$-0.442969\pi$
$619$	11.1747	−	0.532316i	0.449149	−	0.0213956i	0.270938	+	0.962597i	$0.412666\pi$
$620$	0.629933	−	1.09108i	0.0252987	−	0.0438187i
$621$	−22.9620	+	9.68238i	−0.921432	+	0.388541i
$622$	13.3303			0.534498
$623$	42.1853	+	9.45864i	1.69012	+	0.378952i
$624$	12.0397	−	4.30438i	0.481975	−	0.172313i
$625$	18.1448	−	1.73262i	0.725791	−	0.0693047i
$626$	1.82144	−	7.50807i	0.0727993	−	0.300083i
$627$	−13.8191	+	5.69584i	−0.551883	+	0.227470i
$628$	3.92181	+	1.35735i	0.156497	+	0.0541643i
$629$	−16.5862	+	2.38474i	−0.661337	+	0.0950858i
$630$	20.5089	+	14.9112i	0.817093	+	0.594077i
$631$	2.00188	+	1.73464i	0.0796934	+	0.0690547i	0.693797	−	0.720171i	$-0.255937\pi$
$631$	2.00188	+	1.73464i	0.0796934	+	0.0690547i	−0.614103	+	0.789226i	$0.710482\pi$
$632$	−0.618560	+	12.9852i	−0.0246050	+	0.516523i
$633$	16.7946	+	11.7042i	0.667526	+	0.465200i
$634$	7.55406	+	21.8260i	0.300010	+	0.866822i
$635$	7.22760	+	29.7926i	0.286819	+	1.18228i
$636$	−0.863398	+	0.628133i	−0.0342360	+	0.0249071i
$637$	10.0075	+	3.60702i	0.396512	+	0.142915i
$638$	−3.13946	−	6.87445i	−0.124292	−	0.272162i
$639$	3.12487	+	14.6101i	0.123618	+	0.577967i
$640$	21.8740	−	15.5764i	0.864647	−	0.615712i
$641$	−20.6732	−	16.2576i	−0.816542	−	0.642136i	0.119967	−	0.992778i	$-0.461721\pi$
$641$	−20.6732	−	16.2576i	−0.816542	−	0.642136i	−0.936510	+	0.350642i	$0.885963\pi$
$642$	21.1854	−	0.215140i	0.836123	−	0.00849091i
$643$		−	29.2694i		−	1.15427i	−0.816648	−	0.577136i	$-0.804170\pi$
$643$		−	29.2694i		−	1.15427i	0.816648	−	0.577136i	$-0.195830\pi$
$644$	4.54944	−	6.45983i	0.179273	−	0.254553i
$645$	−6.68890	+	3.53480i	−0.263375	+	0.139183i
$646$	−6.22142	−	3.20737i	−0.244779	−	0.126192i
$647$	15.4881	−	19.6948i	0.608901	−	0.774281i	−0.379656	−	0.925128i	$-0.623958\pi$
$647$	15.4881	−	19.6948i	0.608901	−	0.774281i	0.988557	+	0.150847i	$0.0482000\pi$
$648$	−16.8117	−	10.9708i	−0.660425	−	0.430973i
$649$	21.1143	−	22.1440i	0.828808	−	0.869228i
$650$	2.48200	−	1.13349i	0.0973521	−	0.0444592i
$651$	−4.31365	+	1.86657i	−0.169065	+	0.0731566i
$652$	1.05548	+	7.34103i	0.0413358	+	0.287497i
$653$	17.2532	−	4.18559i	0.675172	−	0.163795i	0.116509	−	0.993190i	$-0.462830\pi$
$653$	17.2532	−	4.18559i	0.675172	−	0.163795i	0.558663	+	0.829395i	$0.311315\pi$
$654$	−25.0856	+	26.8498i	−0.980926	+	1.04991i
$655$	0.943310	+	1.82977i	0.0368582	+	0.0714949i
$656$	−51.9036	−	2.47247i	−2.02650	−	0.0965339i
$657$	5.23312	+	19.8065i	0.204163	+	0.772726i
$658$	20.5382	−	33.2171i	0.800662	−	1.29494i
$659$	0.667596	+	4.64323i	0.0260058	+	0.180875i	0.998684	−	0.0512823i	$-0.0163308\pi$
$659$	0.667596	+	4.64323i	0.0260058	+	0.180875i	−0.972678	+	0.232157i	$0.925422\pi$
$660$	−6.64336	+	1.02413i	−0.258592	+	0.0398642i
$661$	4.86894	−	50.9899i	0.189380	−	1.98328i	0.00740709	−	0.999973i	$-0.497642\pi$
$661$	4.86894	−	50.9899i	0.189380	−	1.98328i	0.181973	−	0.983304i	$-0.441752\pi$
$662$	−2.49116	−	0.604348i	−0.0968216	−	0.0234887i
$663$	2.28726	+	3.48082i	0.0888299	+	0.135184i
$664$	3.50211	+	0.503528i	0.135908	+	0.0195407i
$665$	−13.6059	+	4.25403i	−0.527616	+	0.164964i
$666$	−28.9861	+	42.5065i	−1.12319	+	1.64709i
$667$	6.93872	+	1.42545i	0.268668	+	0.0551938i
$668$	−4.32177	−	2.49517i	−0.167214	−	0.0965412i
$669$	18.6478	−	11.0203i	0.720966	−	0.426070i
$670$	−41.1909	+	16.4903i	−1.59134	+	0.637078i
$671$	4.98414	+	2.27618i	0.192411	+	0.0878710i
$672$	15.6041	+	0.312346i	0.601942	+	0.0120490i
$673$	−8.46114	−	18.5273i	−0.326153	−	0.714176i	0.673535	−	0.739156i	$-0.264775\pi$
$673$	−8.46114	−	18.5273i	−0.326153	−	0.714176i	−0.999688	+	0.0249797i	$0.992048\pi$
$674$	−10.9840	+	31.7362i	−0.423088	+	1.22243i
$675$	−5.07455	−	2.72717i	−0.195320	−	0.104969i
$676$	4.81785	−	4.59381i	0.185302	−	0.176685i
$677$	12.2549	+	2.36193i	0.470993	+	0.0907764i	0.419224	−	0.907883i	$-0.362302\pi$
$677$	12.2549	+	2.36193i	0.470993	+	0.0907764i	0.0517685	+	0.998659i	$0.483514\pi$
$678$	−18.2448	−	1.55538i	−0.700688	−	0.0597341i
$679$	2.82178	−	8.63723i	0.108290	−	0.331466i
$680$	5.26187	+	4.55944i	0.201783	+	0.174846i
$681$	−11.5129	+	10.1825i	−0.441176	+	0.390195i
$682$	1.95044	−	4.87197i	0.0746863	−	0.186557i
$683$	−5.55632	−	28.8289i	−0.212607	−	1.10311i	−0.918690	−	0.394979i	$-0.870752\pi$
$683$	−5.55632	−	28.8289i	−0.212607	−	1.10311i	0.706083	−	0.708129i	$-0.250460\pi$
$684$	−4.78693	+	1.76643i	−0.183033	+	0.0675410i
$685$	2.12774	−	0.624762i	0.0812969	−	0.0238709i
$686$	22.7592	+	19.5347i	0.868949	+	0.745838i
$687$	16.0198	+	44.8088i	0.611195	+	1.70956i
$688$	−4.92870	+	9.56034i	−0.187905	+	0.364485i
$689$	−0.752213	+	1.30287i	−0.0286571	+	0.0496355i
$690$	12.2084	−	23.5616i	0.464765	−	0.896974i
$691$	−8.48465	−	14.6958i	−0.322771	−	0.559056i	0.658287	−	0.752767i	$-0.271281\pi$
$691$	−8.48465	−	14.6958i	−0.322771	−	0.559056i	−0.981059	+	0.193710i	$0.937948\pi$
$692$	8.07719	+	12.5684i	0.307049	+	0.477777i
$693$	22.1750	+	11.7102i	0.842360	+	0.444833i
$694$	10.8367	−	23.7291i	0.411356	−	0.900743i
$695$	−27.6698	−	26.3831i	−1.04958	−	1.00077i
$696$	2.17452	+	5.27577i	0.0824248	+	0.199978i
$697$	−3.20341	−	16.6209i	−0.121338	−	0.629561i
$698$	−14.2331	−	18.0989i	−0.538732	−	0.685053i
$699$	−28.8349	+	5.86176i	−1.09063	+	0.221712i
$700$	1.82270	−	0.118699i	0.0688915	−	0.00448640i
$701$	10.7162	+	6.88686i	0.404744	+	0.260113i	0.727136	−	0.686493i	$-0.240851\pi$
$701$	10.7162	+	6.88686i	0.404744	+	0.260113i	−0.322393	+	0.946606i	$0.604487\pi$
$702$	12.6249	+	2.03656i	0.476496	+	0.0768650i
$703$	−9.46029	−	27.3337i	−0.356802	−	1.03091i
$704$	9.60295	−	9.15640i	0.361925	−	0.345095i
$705$	12.6486	−	28.4578i	0.476373	−	1.07178i
$706$	9.78010	+	11.2868i	0.368079	+	0.424786i
$707$	3.78112	+	23.3957i	0.142204	+	0.879885i
$708$	7.48573	−	7.28418i	0.281331	−	0.273756i
$709$	3.04774	+	31.9174i	0.114460	+	1.19868i	0.852060	+	0.523445i	$0.175353\pi$
$709$	3.04774	+	31.9174i	0.114460	+	1.19868i	−0.737599	+	0.675239i	$0.764041\pi$
$710$	−12.5060	−	9.83483i	−0.469342	−	0.369094i
$711$	−9.15224	+	14.8979i	−0.343236	+	0.558717i
$712$	31.5645	−	18.2238i	1.18293	−	0.682965i
$713$	2.60861	+	4.17022i	0.0976933	+	0.156176i
$714$	2.53966	+	11.4655i	0.0950442	+	0.429084i
$715$	−7.96768	+	5.12051i	−0.297974	+	0.191496i
$716$	−1.08071	−	2.69950i	−0.0403882	−	0.100885i
$717$	−4.74012	−	2.38309i	−0.177023	−	0.0889981i
$718$	16.5546	+	4.01611i	0.617814	+	0.149880i
$719$	−13.9948	−	9.96565i	−0.521918	−	0.371656i	0.288526	−	0.957472i	$-0.406835\pi$
$719$	−13.9948	−	9.96565i	−0.521918	−	0.371656i	−0.810444	+	0.585816i	$0.800774\pi$
$720$	28.5555	−	3.31318i	1.06420	−	0.123475i
$721$	−25.6075	−	19.4252i	−0.953671	−	0.723433i
$722$	−5.26497	+	17.9308i	−0.195942	+	0.667317i
$723$	−13.3016	+	4.05286i	−0.494691	+	0.150727i
$724$	−2.78017	−	5.39278i	−0.103324	−	0.200421i
$725$	0.750386	+	1.45554i	0.0278686	+	0.0540576i
$726$	2.73175	−	0.832337i	0.101385	−	0.0308909i
$727$	6.38735	−	21.7533i	0.236894	−	0.806785i	−0.752128	−	0.659017i	$-0.770973\pi$
$727$	6.38735	−	21.7533i	0.236894	−	0.806785i	0.989022	−	0.147769i	$-0.0472091\pi$
$728$	8.26641	−	3.47775i	0.306373	−	0.128894i
$729$	−12.6909	−	23.8315i	−0.470032	−	0.882649i
$730$	−17.7702	−	12.6541i	−0.657705	−	0.468350i
$731$	−3.40501	−	0.826047i	−0.125939	−	0.0305524i
$732$	1.67116	+	0.840172i	0.0617678	+	0.0310537i
$733$	−0.0172083	−	0.0429842i	−0.000635602	−	0.00158766i	0.928050	−	0.372456i	$-0.121484\pi$
$733$	−0.0172083	−	0.0429842i	−0.000635602	−	0.00158766i	−0.928685	+	0.370868i	$0.879060\pi$
$734$	19.0699	−	12.2555i	0.703882	−	0.452357i
$735$	20.0868	+	12.9824i	0.740912	+	0.478864i
$736$	−2.12684	−	16.1945i	−0.0783963	−	0.596937i
$737$	−38.0012	+	21.9400i	−1.39979	+	0.808171i
$738$	−44.2822	−	27.2039i	−1.63005	−	1.00139i
$739$	11.7940	+	9.27493i	0.433851	+	0.341184i	0.811079	−	0.584936i	$-0.198880\pi$
$739$	11.7940	+	9.27493i	0.433851	+	0.341184i	−0.377229	+	0.926120i	$0.623123\pi$
$740$	−1.23646	−	12.9488i	−0.0454533	−	0.476009i
$741$	−5.15261	+	5.01387i	−0.189286	+	0.184189i
$742$	−3.28802	+	2.67978i	−0.120707	+	0.0983779i
$743$	−13.0991	−	15.1171i	−0.480558	−	0.554594i	0.462760	−	0.886484i	$-0.346859\pi$
$743$	−13.0991	−	15.1171i	−0.480558	−	0.554594i	−0.943318	+	0.331890i	$0.892314\pi$
$744$	−1.60940	+	3.62095i	−0.0590034	+	0.132750i
$745$	31.4069	−	29.9465i	1.15066	−	1.09715i
$746$	−3.68920	−	10.6592i	−0.135071	−	0.390262i
$747$	3.79957	+	2.86507i	0.139019	+	0.104827i
$748$	−2.61888	−	1.68305i	−0.0957558	−	0.0615385i
$749$	19.9414	−	1.29864i	0.728643	−	0.0474512i
$750$	33.1236	−	6.73359i	1.20950	−	0.245876i
$751$	−22.8154	−	29.0122i	−0.832547	−	1.05867i	−0.997379	−	0.0723481i	$-0.976951\pi$
$751$	−22.8154	−	29.0122i	−0.832547	−	1.05867i	0.164832	−	0.986322i	$-0.447292\pi$
$752$	−8.37922	−	43.4755i	−0.305559	−	1.58539i
$753$	10.7594	+	26.1042i	0.392094	+	0.951290i
$754$	−2.63084	−	2.50850i	−0.0958096	−	0.0913543i
$755$	−8.45492	+	18.5137i	−0.307706	+	0.673782i
$756$	7.41495	+	4.27810i	0.269679	+	0.155593i
$757$	11.8139	+	18.3827i	0.429382	+	0.668132i	0.986771	−	0.162120i	$-0.0518330\pi$
$757$	11.8139	+	18.3827i	0.429382	+	0.668132i	−0.557389	+	0.830252i	$0.688197\pi$
$758$	−20.0059	−	34.6512i	−0.726646	−	1.25859i
$759$	8.63470	−	24.7829i	0.313420	−	0.899564i
$760$	−6.00908	+	10.4080i	−0.217972	+	0.377539i
$761$	11.1657	−	21.6584i	0.404756	−	0.785117i	−0.595072	−	0.803672i	$-0.702876\pi$
$761$	11.1657	−	21.6584i	0.404756	−	0.785117i	0.999828	+	0.0185554i	$0.00590672\pi$
$762$	14.6753	+	41.0481i	0.531631	+	1.48702i
$763$	−22.2367	+	26.5850i	−0.805023	+	0.962442i
$764$	−9.23696	+	2.71221i	−0.334181	+	0.0981245i
$765$	3.24187	+	8.78531i	0.117210	+	0.317634i
$766$	2.14522	+	11.1304i	0.0775098	+	0.402159i
$767$	5.46977	−	13.6628i	0.197502	−	0.493336i
$768$	17.7048	−	15.6589i	0.638867	−	0.565041i
$769$	2.00356	+	1.73610i	0.0722504	+	0.0626053i	0.690237	−	0.723583i	$-0.257506\pi$
$769$	2.00356	+	1.73610i	0.0722504	+	0.0626053i	−0.617987	+	0.786188i	$0.712052\pi$
$770$	−26.1294	+	5.51005i	−0.941638	+	0.198568i
$771$	−24.6621	−	2.10246i	−0.888185	−	0.0757184i
$772$	6.08576	+	1.17293i	0.219031	+	0.0422148i
$773$	−18.4709	+	17.6120i	−0.664353	+	0.633459i	−0.945276	−	0.326271i	$-0.894208\pi$
$773$	−18.4709	+	17.6120i	−0.664353	+	0.633459i	0.280923	+	0.959730i	$0.409359\pi$
$774$	−8.93002	+	5.99867i	−0.320983	+	0.215618i
$775$	−0.371924	+	1.07460i	−0.0133599	+	0.0386009i
$776$	−3.18225	−	6.96815i	−0.114236	−	0.250142i
$777$	−25.1001	+	41.5324i	−0.900462	+	1.48996i
$778$	13.8138	+	6.30856i	0.495249	+	0.226173i
$779$	27.1250	−	10.8592i	0.971855	−	0.389072i
$780$	−2.78346	+	1.64494i	−0.0996640	+	0.0588984i
$781$	−13.6265	−	7.86724i	−0.487593	−	0.281512i
$782$	11.4645	−	4.42796i	0.409968	−	0.158344i
$783$	−0.860353	+	7.62654i	−0.0307465	+	0.272550i
$784$	33.9828	−	1.18518i	1.21367	−	0.0423280i
$785$	13.0133	+	1.87103i	0.464464	+	0.0667798i
$786$	1.60752	+	2.44637i	0.0573383	+	0.0872590i
$787$	0.600881	+	0.145772i	0.0214191	+	0.00519622i	0.246454	−	0.969154i	$-0.420735\pi$
$787$	0.600881	+	0.145772i	0.0214191	+	0.00519622i	−0.225035	+	0.974351i	$0.572250\pi$
$788$	−0.652008	+	6.82814i	−0.0232268	+	0.243242i
$789$	−30.8058	+	4.74898i	−1.09672	+	0.169068i
$790$	−2.64976	−	18.4295i	−0.0942742	−	0.655692i
$791$	−17.2635	−	0.520981i	−0.613820	−	0.0185239i
$792$	20.4400	−	5.40048i	0.726303	−	0.191898i
$793$	2.63254	+	0.125404i	0.0934844	+	0.00445321i
$794$	28.1853	+	54.6719i	1.00026	+	1.94023i
$795$	−2.30917	+	2.47156i	−0.0818977	+	0.0876571i
$796$	3.80988	−	0.924268i	0.135038	−	0.0327598i
$797$	−7.21463	−	50.1789i	−0.255555	−	1.77743i	−0.563594	−	0.826052i	$-0.690582\pi$
$797$	−7.21463	−	50.1789i	−0.255555	−	1.77743i	0.308038	−	0.951374i	$-0.400328\pi$
$798$	−18.6037	+	8.05004i	−0.658563	+	0.284968i
$799$	13.1194	−	5.99144i	0.464132	−	0.211962i
$800$	2.60572	−	2.73280i	0.0921262	−	0.0966192i
$801$	49.0112	−	0.995529i	1.73172	−	0.0351753i
$802$	4.60545	−	5.85630i	0.162624	−	0.206793i
$803$	−19.1765	−	9.88615i	−0.676722	−	0.348875i
$804$	−13.2438	+	6.99878i	−0.467072	+	0.246828i
$805$	10.2790	−	22.8220i	0.362286	−	0.804369i
$806$		−	2.52422i		−	0.0889120i
$807$	−23.9439	+	0.243153i	−0.842866	+	0.00855938i
$808$	15.7052	+	12.3507i	0.552506	+	0.434495i
$809$	−24.8141	+	17.6700i	−0.872416	+	0.621245i	−0.926085	−	0.377314i	$-0.876848\pi$
$809$	−24.8141	+	17.6700i	−0.872416	+	0.621245i	0.0536691	+	0.998559i	$0.482908\pi$
$810$	26.6169	+	10.8720i	0.935223	+	0.382003i
$811$	−8.16500	−	17.8789i	−0.286712	−	0.627811i	0.710397	−	0.703801i	$-0.248516\pi$
$811$	−8.16500	−	17.8789i	−0.286712	−	0.627811i	−0.997109	+	0.0759900i	$0.975788\pi$
$812$	−1.04930	−	2.19554i	−0.0368232	−	0.0770484i
$813$	24.2104	−	17.6133i	0.849094	−	0.617727i
$814$	−12.7741	−	52.6555i	−0.447732	−	1.84558i
$815$	7.68446	+	22.2028i	0.269175	+	0.777730i
$816$	10.9228	+	7.61212i	0.382374	+	0.266477i
$817$	0.287776	−	6.04115i	0.0100680	−	0.211353i
$818$	−35.0831	−	30.3997i	−1.22665	−	1.06290i
$819$	11.9955	+	1.26490i	0.419158	+	0.0441991i
$820$	13.0059	−	1.86997i	0.454187	−	0.0653023i
$821$	−23.2842	−	8.05874i	−0.812624	−	0.281252i	−0.111019	−	0.993818i	$-0.535412\pi$
$821$	−23.2842	−	8.05874i	−0.812624	−	0.281252i	−0.701605	+	0.712566i	$0.747533\pi$
$822$	2.91536	−	1.20163i	0.101685	−	0.0419115i
$823$	−11.2883	+	46.5309i	−0.393485	+	1.62197i	0.338724	+	0.940886i	$0.390005\pi$
$823$	−11.2883	+	46.5309i	−0.393485	+	1.62197i	−0.732208	+	0.681081i	$0.761510\pi$
$824$	−26.9744	+	2.57574i	−0.939698	+	0.0897303i
$825$	5.71295	−	2.04247i	0.198899	−	0.0711096i
$826$	28.1068	−	30.5257i	0.977962	−	1.06212i
$827$	−28.5305			−0.992102			−0.496051	−	0.868293i	$-0.665217\pi$
$827$	−28.5305			−0.992102			−0.496051	+	0.868293i	$0.665217\pi$
$828$	3.26229	−	8.34389i	0.113372	−	0.289970i
$829$	−9.65115	+	16.7163i	−0.335198	+	0.580580i	−0.983523	−	0.180784i	$-0.942137\pi$
$829$	−9.65115	+	16.7163i	−0.335198	+	0.580580i	0.648325	+	0.761364i	$0.275470\pi$
$830$	−5.06171	+	0.241119i	−0.175695	+	0.00836936i
$831$	25.4593	+	21.6119i	0.883173	+	0.749708i
$832$	2.65125	−	5.80544i	0.0919157	−	0.201267i
$833$	2.98502	+	10.6668i	0.103425	+	0.369584i
$834$	−43.0723	−	33.1701i	−1.49147	−	1.14859i
$835$	−14.9396	−	5.17064i	−0.517005	−	0.178937i
$836$	1.99716	−	4.98867i	0.0690733	−	0.172537i
$837$	−4.24510	+	3.22221i	−0.146732	+	0.111376i
$838$	−3.31886	+	17.2199i	−0.114648	+	0.594851i
$839$	13.9145	+	8.94228i	0.480380	+	0.308722i	0.758326	−	0.651875i	$-0.226017\pi$
$839$	13.9145	+	8.94228i	0.480380	+	0.308722i	−0.277946	+	0.960597i	$0.589654\pi$
$840$	19.8714	−	3.41894i	0.685627	−	0.117965i
$841$	−17.5623	+	20.2680i	−0.605596	+	0.698895i
$842$	−1.44595	−	5.96027i	−0.0498306	−	0.205404i
$843$	−2.67919	−	25.3361i	−0.0922763	−	0.872621i
$844$	−7.22642	+	1.39278i	−0.248744	+	0.0479414i
$845$	12.2326	−	17.1783i	0.420815	−	0.590953i
$846$	13.6306	−	42.1327i	0.468631	−	1.44855i
$847$	2.52971	−	0.925224i	0.0869220	−	0.0317911i
$848$	−0.684378	+	4.75995i	−0.0235016	+	0.163458i
$849$	−47.1707	+	0.479023i	−1.61889	+	0.0164400i
$850$	2.46052	+	1.42058i	0.0843950	+	0.0487255i
$851$	46.9142	+	19.4499i	1.60820	+	0.666732i
$852$	−4.54787	−	2.85790i	−0.155807	−	0.0979102i
$853$	42.2967	−	27.1824i	1.44821	−	0.930709i	0.448901	−	0.893581i	$-0.351816\pi$
$853$	42.2967	−	27.1824i	1.44821	−	0.930709i	0.999311	−	0.0371276i	$-0.0118208\pi$
$854$	6.81214	+	2.96861i	0.233107	+	0.101584i
$855$	−13.8316	+	8.36471i	−0.473030	+	0.286067i
$856$	11.6260	−	12.1930i	0.397368	−	0.416747i
$857$	−2.56436	+	26.8552i	−0.0875969	+	0.917356i	0.839705	+	0.543043i	$0.182728\pi$
$857$	−2.56436	+	26.8552i	−0.0875969	+	0.917356i	−0.927302	+	0.374314i	$0.877878\pi$
$858$	−10.5012	+	8.43221i	−0.358505	+	0.287871i
$859$	−20.5956	+	16.1966i	−0.702714	+	0.552620i	−0.904325	−	0.426845i	$-0.859625\pi$
$859$	−20.5956	+	16.1966i	−0.702714	+	0.552620i	0.201611	+	0.979466i	$0.435382\pi$
$860$	0.766274	−	2.60969i	0.0261297	−	0.0889897i
$861$	−43.1126	−	23.3298i	−1.46927	−	0.795078i
$862$	28.0316	−	43.6180i	0.954759	−	1.48563i
$863$	−51.4436	−	2.45056i	−1.75116	−	0.0834181i	−0.852681	−	0.522432i	$-0.825025\pi$
$863$	−51.4436	−	2.45056i	−1.75116	−	0.0834181i	−0.898480	+	0.439014i	$0.855328\pi$
$864$	17.2671	−	3.87692i	0.587438	−	0.131895i
$865$	32.6607	+	34.2536i	1.11050	+	1.16466i
$866$	27.1852	−	21.3787i	0.923792	−	0.726478i
$867$	9.09451	−	23.4030i	0.308866	−	0.794807i
$868$	0.600583	−	1.57943i	0.0203851	−	0.0536093i
$869$	−5.18775	−	17.6679i	−0.175982	−	0.599341i
$870$	−4.48817	−	6.83022i	−0.152163	−	0.231566i
$871$	−13.0470	+	16.5906i	−0.442080	+	0.562151i
$872$	1.39031	+	29.1862i	0.0470818	+	0.988369i
$873$	0.770881	−	10.2742i	0.0260904	−	0.347730i
$874$	11.2503	+	17.9851i	0.380547	+	0.608356i
$875$	30.8475	−	8.05536i	1.04284	−	0.272321i
$876$	−6.41535	−	3.61754i	−0.216755	−	0.122226i
$877$	−51.6166	+	20.6642i	−1.74297	+	0.697779i	−0.743386	+	0.668863i	$0.766781\pi$
$877$	−51.6166	+	20.6642i	−1.74297	+	0.697779i	−0.999582	+	0.0289165i	$0.990794\pi$
$878$	18.5994	−	13.2446i	0.627701	−	0.446984i
$879$	−38.2581	+	9.69371i	−1.29041	+	0.326961i
$880$	−17.5610	+	24.6610i	−0.591983	+	0.831323i
$881$	1.09762	+	1.26672i	0.0369796	+	0.0426768i	0.773938	−	0.633261i	$-0.218284\pi$
$881$	1.09762	+	1.26672i	0.0369796	+	0.0426768i	−0.736958	+	0.675938i	$0.763739\pi$
$882$	30.3455	+	15.3545i	1.02178	+	0.517012i
$883$	48.1948	+	14.1513i	1.62188	+	0.476228i	0.961524	−	0.274722i	$-0.0885857\pi$
$883$	48.1948	+	14.1513i	1.62188	+	0.476228i	0.660360	+	0.750950i	$0.270404\pi$
$884$	−1.47032	−	0.283381i	−0.0494523	−	0.00953114i
$885$	18.9186	−	27.1467i	0.635941	−	0.912526i
$886$	−24.7501	+	12.7595i	−0.831495	+	0.428665i
$887$	1.79090	−	9.29205i	0.0601324	−	0.311997i	−0.939392	−	0.342846i	$-0.888609\pi$
$887$	1.79090	−	9.29205i	0.0601324	−	0.311997i	0.999524	+	0.0308494i	$0.00982123\pi$
$888$	8.15012	+	40.0916i	0.273500	+	1.34539i
$889$	15.9449	+	37.9001i	0.534774	+	1.27113i
$890$	−39.4514	+	34.1848i	−1.32241	+	1.14588i
$891$	27.5857	+	6.89649i	0.924157	+	0.231041i
$892$	−1.83592	+	7.56776i	−0.0614711	+	0.253387i
$893$	14.4409	+	20.2795i	0.483248	+	0.678626i
$894$	39.9337	−	47.0428i	1.33558	−	1.57335i
$895$	−4.98020	−	7.74934i	−0.166470	−	0.259032i
$896$	25.6290	−	25.3046i	0.856206	−	0.845368i
$897$	−0.574651	−	12.6103i	−0.0191870	−	0.421045i
$898$	21.5137	+	37.2628i	0.717921	+	1.24348i
$899$	1.51323	−	0.0720838i	0.0504689	−	0.00240413i
$900$	1.97497	−	0.623740i	0.0658323	−	0.0207913i
$901$	−1.55941	+	0.148905i	−0.0519514	+	0.00496075i
$902$	52.5155	−	15.4199i	1.74857	−	0.513427i
$903$	−8.09999	+	6.11156i	−0.269551	+	0.203380i
$904$	−11.0043	+	9.53525i	−0.365996	+	0.317138i
$905$	−11.8814	−	15.1084i	−0.394950	−	0.502220i
$906$	−9.18747	+	27.4440i	−0.305233	+	0.911766i
$907$	37.2512	−	12.8928i	1.23691	−	0.428098i	0.371155	−	0.928571i	$-0.378962\pi$
$907$	37.2512	−	12.8928i	1.23691	−	0.428098i	0.865752	+	0.500473i	$0.166841\pi$
$908$	0.262919	−	5.51935i	0.00872527	−	0.183166i
$909$	10.4921	+	24.7395i	0.347999	+	0.820558i
$910$	−10.6829	+	7.13160i	−0.354134	+	0.236410i
$911$	26.1238	+	7.67064i	0.865520	+	0.254139i	0.684209	−	0.729286i	$-0.260148\pi$
$911$	26.1238	+	7.67064i	0.865520	+	0.254139i	0.181311	+	0.983426i	$0.441966\pi$
$912$	−9.33393	+	21.0002i	−0.309077	+	0.695386i
$913$	−4.92102	+	0.948449i	−0.162862	+	0.0313891i
$914$	−30.6921	−	2.93074i	−1.01520	−	0.0969402i
$915$	5.70215	+	1.61159i	0.188507	+	0.0532775i
$916$	−15.5618	−	7.10685i	−0.514177	−	0.234817i
$917$	1.64053	+	2.22084i	0.0541751	+	0.0733384i
$918$	5.89793	+	11.9383i	0.194661	+	0.394023i
$919$	−13.7068	+	7.91364i	−0.452147	+	0.261047i	−0.708736	−	0.705473i	$-0.750734\pi$
$919$	−13.7068	+	7.91364i	−0.452147	+	0.261047i	0.256590	+	0.966520i	$0.417401\pi$
$920$	−6.65756	−	20.0239i	−0.219493	−	0.660168i
$921$	−32.0725	−	1.20152i	−1.05682	−	0.0395914i
$922$	5.83524	+	3.00828i	0.192174	+	0.0990723i
$923$	−7.49122	−	1.07707i	−0.246576	−	0.0354523i
$924$	−8.57695	+	2.77758i	−0.282161	+	0.0913758i
$925$	3.30774	+	11.2651i	0.108758	+	0.370395i
$926$	45.0278	+	32.0642i	1.47971	+	1.05369i
$927$	−33.4523	−	14.4635i	−1.09872	−	0.475043i
$928$	−4.67013	−	1.86964i	−0.153304	−	0.0613739i
$929$	−6.81713	+	1.65382i	−0.223663	+	0.0542600i	−0.346024	−	0.938226i	$-0.612468\pi$
$929$	−6.81713	+	1.65382i	−0.223663	+	0.0542600i	0.122361	+	0.992486i	$0.460953\pi$
$930$	1.28192	−	5.52859i	0.0420358	−	0.181290i
$931$	−17.1046	+	8.54402i	−0.560580	+	0.280019i
$932$	5.71915	−	8.89918i	0.187337	−	0.291502i
$933$	13.6380	−	4.15536i	0.446488	−	0.136040i
$934$	37.6173	+	39.4519i	1.23088	+	1.29091i
$935$	−9.15554	−	3.66533i	−0.299418	−	0.119869i
$936$	8.16189	−	6.06558i	0.266780	−	0.198260i
$937$	−41.0529	+	18.7482i	−1.34114	+	0.612477i	−0.951260	−	0.308389i	$-0.900210\pi$
$937$	−41.0529	+	18.7482i	−1.34114	+	0.612477i	−0.389878	+	0.920867i	$0.627483\pi$
$938$	−51.0098	+	30.6482i	−1.66553	+	1.00070i
$939$	−0.476956	−	8.24913i	−0.0155649	−	0.269200i
$940$	4.16110	+	10.3939i	0.135720	+	0.339013i
$941$	0.380365	+	7.98483i	0.0123995	+	0.260298i	0.996552	+	0.0829728i	$0.0264415\pi$
$941$	0.380365	+	7.98483i	0.0123995	+	0.260298i	−0.984152	+	0.177325i	$0.943256\pi$
$942$	18.6815	+	0.699859i	0.608677	+	0.0228026i
$943$	−17.3700	+	48.2712i	−0.565645	+	1.57193i
$944$		−	47.0431i		−	1.53112i
$945$	25.6304	+	8.86229i	0.833756	+	0.288290i
$946$	1.61234	−	11.2141i	0.0524218	−	0.364602i
$947$	3.61413	+	37.8489i	0.117443	+	1.22992i	0.841529	+	0.540212i	$0.181656\pi$
$947$	3.61413	+	37.8489i	0.117443	+	1.22992i	−0.724085	+	0.689710i	$0.757738\pi$
$948$	−1.54392	−	6.09336i	−0.0501440	−	0.197903i
$949$	−10.3305	−	0.986439i	−0.335341	−	0.0320212i
$950$	−1.60402	+	4.63450i	−0.0520412	+	0.150363i
$951$	14.5321	+	19.9750i	0.471234	+	0.647733i
$952$	7.94260	+	4.91092i	0.257421	+	0.159164i
$953$	35.6544	−	41.1473i	1.15496	−	1.33289i	0.221100	−	0.975251i	$-0.429035\pi$
$953$	35.6544	−	41.1473i	1.15496	−	1.33289i	0.933859	−	0.357642i	$-0.116419\pi$
$954$	−2.89575	+	3.84026i	−0.0937534	+	0.124333i
$955$	−27.1071	+	13.9747i	−0.877166	+	0.452211i
$956$	1.80246	−	0.623839i	0.0582959	−	0.0201764i
$957$	−5.35484	−	6.05447i	−0.173097	−	0.195713i
$958$	4.15544	−	0.597462i	0.134256	−	0.0193031i
$959$	2.68354	−	1.28252i	0.0866559	−	0.0414148i
$960$	8.75508	−	11.3687i	0.282569	−	0.366923i
$961$	−21.6744	−	20.6665i	−0.699174	−	0.666661i
$962$	−15.1174	−	21.2294i	−0.487403	−	0.684462i
$963$	21.6073	−	6.82408i	0.696287	−	0.219903i
$964$	2.29072	−	4.44338i	0.0737792	−	0.143112i
$965$	19.6340			0.632042
$966$	11.1226	−	33.8090i	0.357863	−	1.08779i
$967$	−10.4722			−0.336762			−0.168381	−	0.985722i	$-0.553854\pi$
$967$	−10.4722			−0.336762			−0.168381	+	0.985722i	$0.553854\pi$
$968$	1.04057	−	2.01842i	0.0334450	−	0.0648743i
$969$	−7.36482	−	1.34204i	−0.236592	−	0.0431124i
$970$	6.36412	+	8.93716i	0.204340	+	0.286955i
$971$	33.9250	+	32.3474i	1.08871	+	1.03808i	0.999113	+	0.0421002i	$0.0134049\pi$
$971$	33.9250	+	32.3474i	1.08871	+	1.03808i	0.0895922	+	0.995979i	$0.471444\pi$
$972$	9.32223	+	2.70514i	0.299011	+	0.0867676i
$973$	−42.2817	−	29.0114i	−1.35549	−	0.930064i
$974$	−22.0677	+	3.17286i	−0.707096	+	0.101665i
$975$	2.18595	−	1.93335i	0.0700064	−	0.0619167i
$976$	7.96113	−	2.75538i	0.254830	−	0.0881974i
$977$	51.3934	−	26.4952i	1.64422	−	0.847655i	0.647922	−	0.761706i	$-0.275638\pi$
$977$	51.3934	−	26.4952i	1.64422	−	0.847655i	0.996300	−	0.0859488i	$-0.0273922\pi$
$978$	14.1864	+	30.2473i	0.453632	+	0.967202i
$979$	−33.8080	+	39.0165i	−1.08051	+	1.24697i
$980$	−8.38118	+	1.92055i	−0.267727	+	0.0613497i
$981$	−17.2949	+	35.2892i	−0.552185	+	1.12670i
$982$	−21.4547	+	61.9894i	−0.684648	+	1.97816i
$983$	1.63801	+	0.156411i	0.0522444	+	0.00498874i	0.121146	−	0.992635i	$-0.461343\pi$
$983$	1.63801	+	0.156411i	0.0522444	+	0.00498874i	−0.0689011	+	0.997623i	$0.521949\pi$
$984$	−40.0607	+	10.1505i	−1.27709	+	0.323585i
$985$	2.06551	+	21.6310i	0.0658128	+	0.689222i
$986$	0.538673	−	3.74655i	0.0171548	−	0.119315i
$987$	10.6577	−	40.3860i	0.339238	−	1.28550i
$988$		−	2.58469i		−	0.0822298i
$989$	7.59537	+	7.42141i	0.241519	+	0.235987i
$990$	−27.2821	+	13.1353i	−0.867082	+	0.417468i
$991$	2.88886	+	60.6445i	0.0917675	+	1.92644i	0.310356	+	0.950620i	$0.399552\pi$
$991$	2.88886	+	60.6445i	0.0917675	+	1.92644i	−0.218589	+	0.975817i	$0.570145\pi$
$992$	−1.29828	−	3.24296i	−0.0412206	−	0.102964i
$993$	−2.73704	+	0.158253i	−0.0868574	+	0.00502200i
$994$	−18.6630	−	10.3456i	−0.591955	−	0.328143i
$995$	11.2972	−	5.15925i	0.358145	−	0.163559i
$996$	−1.69084	+	0.260657i	−0.0535762	+	0.00825922i
$997$	−46.4372	−	18.5907i	−1.47068	−	0.588772i	−0.508471	−	0.861079i	$-0.669789\pi$
$997$	−46.4372	−	18.5907i	−1.47068	−	0.588772i	−0.962210	+	0.272307i	$0.912213\pi$
$998$	28.4410	+	29.8281i	0.900286	+	0.944192i
$999$	−16.4048	+	52.5231i	−0.519026	+	1.66176i

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

)

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bc.a.11.16	✓	1200
3.2	odd	2	inner	483.2.bc.a.11.45	yes	1200
7.2	even	3	inner	483.2.bc.a.149.45	yes	1200
21.2	odd	6	inner	483.2.bc.a.149.16	yes	1200
23.21	odd	22	inner	483.2.bc.a.389.16	yes	1200
69.44	even	22	inner	483.2.bc.a.389.45	yes	1200
161.44	odd	66	inner	483.2.bc.a.44.45	yes	1200
483.44	even	66	inner	483.2.bc.a.44.16	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bc.a.11.16	✓	1200	1.1	even	1	trivial
483.2.bc.a.11.45	yes	1200	3.2	odd	2	inner
483.2.bc.a.44.16	yes	1200	483.44	even	66	inner
483.2.bc.a.44.45	yes	1200	161.44	odd	66	inner
483.2.bc.a.149.16	yes	1200	21.2	odd	6	inner
483.2.bc.a.149.45	yes	1200	7.2	even	3	inner
483.2.bc.a.389.16	yes	1200	23.21	odd	22	inner
483.2.bc.a.389.45	yes	1200	69.44	even	22	inner

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Hilbert	Bianchi

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

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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.bc.a.11.16

Level	$483$
Weight	$2$
Character	483.11
Analytic conductor	$3.857$
Analytic rank	$0$
Dimension	$1200$
Inner twists	$8$