LMFDB - Embedded newform 572.2.y.a.79.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [572,2,Mod(79,572)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(572, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 1, 0]))

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

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

chi := DirichletCharacter("572.79");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 572 = 2^{2} \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	572.y (of order $10$, degree $4$, 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:	$4.56744299562$
Analytic rank:	$0$
Dimension:	$288$
Relative dimension:	$72$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			79.2
Character	$\chi$	$=$	572.79
Dual form			572.2.y.a.391.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.40628 - 0.149624i) q^{2} +(0.772280 + 1.06295i) q^{3} +(1.95523 + 0.420826i) q^{4} +(-1.08359 - 3.33494i) q^{5} +(-0.926995 - 1.61036i) q^{6} +(3.42488 + 2.48832i) q^{7} +(-2.68662 - 0.884347i) q^{8} +(0.393600 - 1.21138i) q^{9} +O(q^{10})$	\(q+(-1.40628 - 0.149624i) q^{2} +(0.772280 + 1.06295i) q^{3} +(1.95523 + 0.420826i) q^{4} +(-1.08359 - 3.33494i) q^{5} +(-0.926995 - 1.61036i) q^{6} +(3.42488 + 2.48832i) q^{7} +(-2.68662 - 0.884347i) q^{8} +(0.393600 - 1.21138i) q^{9} +(1.02484 + 4.85198i) q^{10} +(-0.616893 + 3.25875i) q^{11} +(1.06266 + 2.40331i) q^{12} +(0.951057 + 0.309017i) q^{13} +(-4.44402 - 4.01172i) q^{14} +(2.70805 - 3.72731i) q^{15} +(3.64581 + 1.64562i) q^{16} +(2.64664 - 0.859946i) q^{17} +(-0.734762 + 1.64464i) q^{18} +(-1.83415 + 1.33259i) q^{19} +(-0.715228 - 6.97656i) q^{20} +5.56217i q^{21} +(1.35511 - 4.49040i) q^{22} -4.93649i q^{23} +(-1.13480 - 3.53871i) q^{24} +(-5.90257 + 4.28847i) q^{25} +(-1.29121 - 0.576864i) q^{26} +(5.34033 - 1.73518i) q^{27} +(5.64927 + 6.30651i) q^{28} +(5.42032 - 7.46044i) q^{29} +(-4.36596 + 4.83643i) q^{30} +(2.12064 + 0.689039i) q^{31} +(-4.88079 - 2.85970i) q^{32} +(-3.94031 + 1.86094i) q^{33} +(-3.85058 + 0.813320i) q^{34} +(4.58725 - 14.1181i) q^{35} +(1.27936 - 2.20288i) q^{36} +(-4.04464 - 2.93860i) q^{37} +(2.77871 - 1.59956i) q^{38} +(0.406011 + 1.24957i) q^{39} +(-0.0380536 + 9.91798i) q^{40} +(6.80093 + 9.36067i) q^{41} +(0.832235 - 7.82194i) q^{42} -0.186660 q^{43} +(-2.57753 + 6.11198i) q^{44} -4.46637 q^{45} +(-0.738618 + 6.94206i) q^{46} +(4.09784 + 5.64019i) q^{47} +(1.06637 + 5.14620i) q^{48} +(3.37495 + 10.3870i) q^{49} +(8.94230 - 5.14760i) q^{50} +(2.95803 + 2.14913i) q^{51} +(1.72949 + 1.00443i) q^{52} +(-1.82391 + 5.61342i) q^{53} +(-7.76960 + 1.64110i) q^{54} +(11.5362 - 1.47384i) q^{55} +(-7.00082 - 9.71397i) q^{56} +(-2.83296 - 0.920484i) q^{57} +(-8.73873 + 9.68042i) q^{58} +(-0.818003 + 1.12588i) q^{59} +(6.86339 - 6.14811i) q^{60} +(11.4663 - 3.72564i) q^{61} +(-2.87911 - 1.28628i) q^{62} +(4.36233 - 3.16942i) q^{63} +(6.43586 + 4.75181i) q^{64} -3.50656i q^{65} +(5.81960 - 2.02743i) q^{66} -9.11585i q^{67} +(5.53667 - 0.567612i) q^{68} +(5.24725 - 3.81235i) q^{69} +(-8.56334 + 19.1676i) q^{70} +(-6.77593 + 2.20163i) q^{71} +(-2.12873 + 2.90643i) q^{72} +(1.16921 - 1.60928i) q^{73} +(5.24819 + 4.73766i) q^{74} +(-9.11687 - 2.96225i) q^{75} +(-4.14697 + 1.83365i) q^{76} +(-10.2216 + 9.62580i) q^{77} +(-0.383998 - 1.81800i) q^{78} +(2.94170 - 9.05361i) q^{79} +(1.53748 - 13.9417i) q^{80} +(2.87726 + 2.09045i) q^{81} +(-8.16340 - 14.1813i) q^{82} +(-0.825171 - 2.53962i) q^{83} +(-2.34070 + 10.8753i) q^{84} +(-5.73573 - 7.89456i) q^{85} +(0.262495 + 0.0279288i) q^{86} +12.1161 q^{87} +(4.53922 - 8.20947i) q^{88} -2.97327 q^{89} +(6.28095 + 0.668277i) q^{90} +(2.48832 + 3.42488i) q^{91} +(2.07740 - 9.65194i) q^{92} +(0.905315 + 2.78627i) q^{93} +(-4.91878 - 8.54480i) q^{94} +(6.43157 + 4.67281i) q^{95} +(-0.729617 - 7.39653i) q^{96} +(2.68129 - 8.25215i) q^{97} +(-3.19196 - 15.1120i) q^{98} +(3.70476 + 2.02993i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 288 q - 4 q^{4} + 80 q^{9}+O(q^{10}) $ 288 * q - 4 * q^4 + 80 * q^9	$ 288 q - 4 q^{4} + 80 q^{9} + 8 q^{12} - 6 q^{14} - 32 q^{16} - 50 q^{18} + 16 q^{22} - 88 q^{25} - 50 q^{28} - 20 q^{30} - 4 q^{33} + 30 q^{36} - 48 q^{37} + 38 q^{38} + 70 q^{40} + 56 q^{42} + 66 q^{44} - 96 q^{45} + 70 q^{46} + 76 q^{48} - 56 q^{49} + 70 q^{50} - 20 q^{52} - 80 q^{53} + 44 q^{56} - 20 q^{57} - 2 q^{58} - 144 q^{60} - 150 q^{62} - 100 q^{64} + 30 q^{66} + 24 q^{69} - 28 q^{70} - 100 q^{72} + 40 q^{73} - 140 q^{74} - 24 q^{77} - 40 q^{78} + 118 q^{80} - 76 q^{81} + 56 q^{82} + 120 q^{84} + 80 q^{85} + 44 q^{88} - 8 q^{89} + 80 q^{90} - 14 q^{92} + 72 q^{93} + 50 q^{94} - 140 q^{96} + 116 q^{97}+O(q^{100}) $ 288 * q - 4 * q^4 + 80 * q^9 + 8 * q^12 - 6 * q^14 - 32 * q^16 - 50 * q^18 + 16 * q^22 - 88 * q^25 - 50 * q^28 - 20 * q^30 - 4 * q^33 + 30 * q^36 - 48 * q^37 + 38 * q^38 + 70 * q^40 + 56 * q^42 + 66 * q^44 - 96 * q^45 + 70 * q^46 + 76 * q^48 - 56 * q^49 + 70 * q^50 - 20 * q^52 - 80 * q^53 + 44 * q^56 - 20 * q^57 - 2 * q^58 - 144 * q^60 - 150 * q^62 - 100 * q^64 + 30 * q^66 + 24 * q^69 - 28 * q^70 - 100 * q^72 + 40 * q^73 - 140 * q^74 - 24 * q^77 - 40 * q^78 + 118 * q^80 - 76 * q^81 + 56 * q^82 + 120 * q^84 + 80 * q^85 + 44 * q^88 - 8 * q^89 + 80 * q^90 - 14 * q^92 + 72 * q^93 + 50 * q^94 - 140 * q^96 + 116 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/572\mathbb{Z}\right)^\times$.

$n$	$287$	$353$	$365$
$\chi(n)$	$-1$	$1$	$e\left(\frac{1}{10}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	−1.40628	−	0.149624i	−0.994387	−	0.105800i
$2$	−1.40628	−	0.149624i	−0.994387	−	0.105800i
$3$	0.772280	+	1.06295i	0.445876	+	0.613696i	0.971505	−	0.237018i	$-0.0761701\pi$
$3$	0.772280	+	1.06295i	0.445876	+	0.613696i	−0.525629	+	0.850714i	$0.676170\pi$
$4$	1.95523	+	0.420826i	0.977613	+	0.210413i
$5$	−1.08359	−	3.33494i	−0.484595	−	1.49143i	−0.832567	−	0.553925i	$-0.813129\pi$
$5$	−1.08359	−	3.33494i	−0.484595	−	1.49143i	0.347972	−	0.937505i	$-0.386871\pi$
$6$	−0.926995	−	1.61036i	−0.378444	−	0.657425i
$7$	3.42488	+	2.48832i	1.29448	+	0.940498i	0.999886	−	0.0151232i	$-0.00481406\pi$
$7$	3.42488	+	2.48832i	1.29448	+	0.940498i	0.294599	+	0.955621i	$0.404814\pi$
$8$	−2.68662	−	0.884347i	−0.949864	−	0.312664i
$9$	0.393600	−	1.21138i	0.131200	−	0.403792i
$10$	1.02484	+	4.85198i	0.324081	+	1.53433i
$11$	−0.616893	+	3.25875i	−0.186000	+	0.982550i
$11$	−0.616893	+	3.25875i	−0.186000	+	0.982550i
$12$	1.06266	+	2.40331i	0.306764	+	0.693775i
$13$	0.951057	+	0.309017i	0.263776	+	0.0857059i
$13$	0.951057	+	0.309017i	0.263776	+	0.0857059i
$14$	−4.44402	−	4.01172i	−1.18771	−	1.07218i
$15$	2.70805	−	3.72731i	0.699215	−	0.962386i
$16$	3.64581	+	1.64562i	0.911453	+	0.411405i
$17$	2.64664	−	0.859946i	0.641905	−	0.208567i	0.0300634	−	0.999548i	$-0.490429\pi$
$17$	2.64664	−	0.859946i	0.641905	−	0.208567i	0.611841	+	0.790980i	$0.290429\pi$
$18$	−0.734762	+	1.64464i	−0.173185	+	0.387645i
$19$	−1.83415	+	1.33259i	−0.420783	+	0.305717i	−0.777953	−	0.628323i	$-0.783742\pi$
$19$	−1.83415	+	1.33259i	−0.420783	+	0.305717i	0.357170	+	0.934040i	$0.383742\pi$
$20$	−0.715228	−	6.97656i	−0.159930	−	1.56001i
$21$			5.56217i			1.21376i
$22$	1.35511	−	4.49040i	0.288910	−	0.957356i
$23$		−	4.93649i		−	1.02933i	−0.857392	−	0.514664i	$-0.827917\pi$
$23$		−	4.93649i		−	1.02933i	0.857392	−	0.514664i	$-0.172083\pi$
$24$	−1.13480	−	3.53871i	−0.231641	−	0.722336i
$25$	−5.90257	+	4.28847i	−1.18051	+	0.857694i
$26$	−1.29121	−	0.576864i	−0.253227	−	0.113132i
$27$	5.34033	−	1.73518i	1.02775	−	0.333935i
$28$	5.64927	+	6.30651i	1.06761	+	1.19182i
$29$	5.42032	−	7.46044i	1.00653	−	1.38537i	0.0852965	−	0.996356i	$-0.472816\pi$
$29$	5.42032	−	7.46044i	1.00653	−	1.38537i	0.921232	−	0.389013i	$-0.127184\pi$
$30$	−4.36596	+	4.83643i	−0.797111	+	0.883008i
$31$	2.12064	+	0.689039i	0.380879	+	0.123755i	0.493198	−	0.869917i	$-0.335828\pi$
$31$	2.12064	+	0.689039i	0.380879	+	0.123755i	−0.112319	+	0.993672i	$0.535828\pi$
$32$	−4.88079	−	2.85970i	−0.862810	−	0.505528i
$33$	−3.94031	+	1.86094i	−0.685919	+	0.323948i
$34$	−3.85058	+	0.813320i	−0.660368	+	0.139483i
$35$	4.58725	−	14.1181i	0.775386	−	2.38639i
$36$	1.27936	−	2.20288i	0.213226	−	0.367146i
$37$	−4.04464	−	2.93860i	−0.664934	−	0.483103i	0.203391	−	0.979098i	$-0.434804\pi$
$37$	−4.04464	−	2.93860i	−0.664934	−	0.483103i	−0.868326	+	0.495995i	$0.834804\pi$
$38$	2.77871	−	1.59956i	0.450767	−	0.259482i
$39$	0.406011	+	1.24957i	0.0650139	+	0.200092i
$40$	−0.0380536	+	9.91798i	−0.00601680	+	1.56817i
$41$	6.80093	+	9.36067i	1.06213	+	1.46189i	0.877800	+	0.479027i	$0.159010\pi$
$41$	6.80093	+	9.36067i	1.06213	+	1.46189i	0.184326	+	0.982865i	$0.440990\pi$
$42$	0.832235	−	7.82194i	0.128417	−	1.20695i
$43$	−0.186660			−0.0284653			−0.0142327	−	0.999899i	$-0.504531\pi$
$43$	−0.186660			−0.0284653			−0.0142327	+	0.999899i	$0.504531\pi$
$44$	−2.57753	+	6.11198i	−0.388577	+	0.921416i
$45$	−4.46637			−0.665807
$46$	−0.738618	+	6.94206i	−0.108903	+	1.02355i
$47$	4.09784	+	5.64019i	0.597731	+	0.822706i	0.995498	−	0.0947801i	$-0.0302148\pi$
$47$	4.09784	+	5.64019i	0.597731	+	0.822706i	−0.397767	+	0.917486i	$0.630215\pi$
$48$	1.06637	+	5.14620i	0.153918	+	0.742790i
$49$	3.37495	+	10.3870i	0.482136	+	1.48386i
$50$	8.94230	−	5.14760i	1.26463	−	0.727981i
$51$	2.95803	+	2.14913i	0.414207	+	0.300939i
$52$	1.72949	+	1.00443i	0.239837	+	0.139289i
$53$	−1.82391	+	5.61342i	−0.250533	+	0.771062i	0.744144	+	0.668019i	$0.232858\pi$
$53$	−1.82391	+	5.61342i	−0.250533	+	0.771062i	−0.994677	+	0.103042i	$0.967142\pi$
$54$	−7.76960	+	1.64110i	−1.05731	+	0.223325i
$55$	11.5362	−	1.47384i	1.55554	−	0.198732i
$56$	−7.00082	−	9.71397i	−0.935524	−	1.29808i
$57$	−2.83296	−	0.920484i	−0.375234	−	0.121921i
$58$	−8.73873	+	9.68042i	−1.14745	+	1.27110i
$59$	−0.818003	+	1.12588i	−0.106495	+	0.146578i	−0.858938	−	0.512080i	$-0.828875\pi$
$59$	−0.818003	+	1.12588i	−0.106495	+	0.146578i	0.752443	+	0.658657i	$0.228875\pi$
$60$	6.86339	−	6.14811i	0.886060	−	0.793717i
$61$	11.4663	−	3.72564i	1.46812	−	0.477020i	0.537577	−	0.843214i	$-0.319340\pi$
$61$	11.4663	−	3.72564i	1.46812	−	0.477020i	0.930538	+	0.366195i	$0.119340\pi$
$62$	−2.87911	−	1.28628i	−0.365648	−	0.163358i
$63$	4.36233	−	3.16942i	0.549602	−	0.399310i
$64$	6.43586	+	4.75181i	0.804483	+	0.593976i
$65$		−	3.50656i		−	0.434936i
$66$	5.81960	−	2.02743i	0.716343	−	0.249559i
$67$		−	9.11585i		−	1.11368i	−0.830620	−	0.556839i	$-0.812014\pi$
$67$		−	9.11585i		−	1.11368i	0.830620	−	0.556839i	$-0.187986\pi$
$68$	5.53667	−	0.567612i	0.671419	−	0.0688331i
$69$	5.24725	−	3.81235i	0.631694	−	0.458953i
$70$	−8.56334	+	19.1676i	−1.02352	+	2.29096i
$71$	−6.77593	+	2.20163i	−0.804155	+	0.261286i	−0.682120	−	0.731240i	$-0.738942\pi$
$71$	−6.77593	+	2.20163i	−0.804155	+	0.261286i	−0.122035	+	0.992526i	$0.538942\pi$
$72$	−2.12873	+	2.90643i	−0.250873	+	0.342526i
$73$	1.16921	−	1.60928i	0.136846	−	0.188352i	−0.735094	−	0.677965i	$-0.762862\pi$
$73$	1.16921	−	1.60928i	0.136846	−	0.188352i	0.871940	+	0.489613i	$0.162862\pi$
$74$	5.24819	+	4.73766i	0.610090	+	0.550742i
$75$	−9.11687	−	2.96225i	−1.05273	−	0.342051i
$76$	−4.14697	+	1.83365i	−0.475690	+	0.210335i
$77$	−10.2216	+	9.62580i	−1.16486	+	1.09696i
$78$	−0.383998	−	1.81800i	−0.0434792	−	0.205848i
$79$	2.94170	−	9.05361i	0.330967	−	1.01861i	−0.637708	−	0.770278i	$-0.720117\pi$
$79$	2.94170	−	9.05361i	0.330967	−	1.01861i	0.968675	−	0.248333i	$-0.0798826\pi$
$80$	1.53748	−	13.9417i	0.171896	−	1.55873i
$81$	2.87726	+	2.09045i	0.319696	+	0.232273i
$82$	−8.16340	−	14.1813i	−0.901497	−	1.56606i
$83$	−0.825171	−	2.53962i	−0.0905743	−	0.278759i	0.895501	−	0.445060i	$-0.146818\pi$
$83$	−0.825171	−	2.53962i	−0.0905743	−	0.278759i	−0.986075	+	0.166301i	$0.946818\pi$
$84$	−2.34070	+	10.8753i	−0.255392	+	1.18659i
$85$	−5.73573	−	7.89456i	−0.622128	−	0.856285i
$86$	0.262495	+	0.0279288i	0.0283055	+	0.00301164i
$87$	12.1161			1.29898
$88$	4.53922	−	8.20947i	0.483883	−	0.875133i
$89$	−2.97327			−0.315166			−0.157583	−	0.987506i	$-0.550370\pi$
$89$	−2.97327			−0.315166			−0.157583	+	0.987506i	$0.550370\pi$
$90$	6.28095	+	0.668277i	0.662070	+	0.0704426i
$91$	2.48832	+	3.42488i	0.260847	+	0.359025i
$92$	2.07740	−	9.65194i	0.216584	−	1.00628i
$93$	0.905315	+	2.78627i	0.0938768	+	0.288923i
$94$	−4.91878	−	8.54480i	−0.507334	−	0.881329i
$95$	6.43157	+	4.67281i	0.659865	+	0.479420i
$96$	−0.729617	−	7.39653i	−0.0744663	−	0.754905i
$97$	2.68129	−	8.25215i	0.272243	−	0.837879i	−0.717692	−	0.696360i	$-0.754802\pi$
$97$	2.68129	−	8.25215i	0.272243	−	0.837879i	0.989936	−	0.141518i	$-0.0451984\pi$
$98$	−3.19196	−	15.1120i	−0.322437	−	1.52654i
$99$	3.70476	+	2.02993i	0.372343	+	0.204016i
$100$	−13.3456	+	5.90097i	−1.33456	+	0.590097i
$101$	−2.30319	−	0.748352i	−0.229176	−	0.0744638i	0.192178	−	0.981360i	$-0.438445\pi$
$101$	−2.30319	−	0.748352i	−0.229176	−	0.0744638i	−0.421354	+	0.906896i	$0.638445\pi$
$102$	−3.83824	−	3.46487i	−0.380043	−	0.343073i
$103$	−7.59963	+	10.4600i	−0.748814	+	1.03065i	0.249249	+	0.968439i	$0.419816\pi$
$103$	−7.59963	+	10.4600i	−0.748814	+	1.03065i	−0.998063	+	0.0622144i	$0.980184\pi$
$104$	−2.28185	−	1.67128i	−0.223754	−	0.163882i
$105$	18.5495	−	6.02709i	1.81024	−	0.588184i
$106$	3.40482	−	7.62111i	0.330706	−	0.740228i
$107$	−15.4722	+	11.2412i	−1.49575	+	1.08673i	−0.523718	+	0.851891i	$0.675456\pi$
$107$	−15.4722	+	11.2412i	−1.49575	+	1.08673i	−0.972035	+	0.234837i	$0.924544\pi$
$108$	11.1718	−	1.14531i	1.07500	−	0.110208i
$109$			4.71718i			0.451824i	0.974148	+	0.225912i	$0.0725361\pi$
$109$			4.71718i			0.451824i	−0.974148	+	0.225912i	$0.927464\pi$
$110$	−16.4436	+	0.346530i	−1.56783	+	0.0330403i
$111$		−	6.56868i		−	0.623471i
$112$	8.39165	+	14.7080i	0.792936	+	1.38978i
$113$	−2.80182	+	2.03564i	−0.263573	+	0.191497i	−0.711721	−	0.702462i	$-0.752084\pi$
$113$	−2.80182	+	2.03564i	−0.263573	+	0.191497i	0.448147	+	0.893960i	$0.352084\pi$
$114$	3.84619	+	1.71833i	0.360229	+	0.160937i
$115$	−16.4629	+	5.34911i	−1.53517	+	0.498807i
$116$	13.7375	−	12.3058i	1.27549	−	1.14257i
$117$	0.748672	−	1.03046i	0.0692148	−	0.0952660i
$118$	1.31880	−	1.46091i	0.121405	−	0.134488i
$119$	11.2043	+	3.64048i	1.02709	+	0.333723i
$120$	−10.5717	+	7.61901i	−0.965062	+	0.695517i
$121$	−10.2389	−	4.02060i	−0.930808	−	0.365509i
$122$	−16.6823	+	3.52364i	−1.51034	+	0.319015i
$123$	−4.69773	+	14.4581i	−0.423580	+	1.30364i
$124$	3.85637	+	2.23965i	0.346312	+	0.201126i
$125$	6.51339	+	4.73225i	0.582575	+	0.423266i
$126$	−6.60887	+	3.80437i	−0.588765	+	0.338920i
$127$	6.56614	+	20.2085i	0.582650	+	1.79321i	0.608507	+	0.793548i	$0.291769\pi$
$127$	6.56614	+	20.2085i	0.582650	+	1.79321i	−0.0258569	+	0.999666i	$0.508231\pi$
$128$	−8.33961	−	7.64531i	−0.737125	−	0.675757i
$129$	−0.144153	−	0.198410i	−0.0126920	−	0.0174690i
$130$	−0.524667	+	4.93119i	−0.0460163	+	0.432494i
$131$	−13.7353			−1.20006			−0.600030	−	0.799977i	$-0.704845\pi$
$131$	−13.7353			−1.20006			−0.600030	+	0.799977i	$0.704845\pi$
$132$	−8.48732	+	1.98037i	−0.738726	+	0.172369i
$133$	−9.59767			−0.832224
$134$	−1.36395	+	12.8194i	−0.117828	+	1.10743i
$135$	−11.5734	−	15.9295i	−0.996082	−	1.37099i
$136$	−7.87101	−	0.0301997i	−0.674934	−	0.00258960i
$137$	−3.32413	−	10.2306i	−0.284000	−	0.874062i	−0.986697	−	0.162572i	$-0.948021\pi$
$137$	−3.32413	−	10.2306i	−0.284000	−	0.874062i	0.702697	−	0.711489i	$-0.251979\pi$
$138$	−7.94950	+	4.57610i	−0.676706	+	0.389543i
$139$	−1.54623	−	1.12340i	−0.131150	−	0.0952858i	0.520276	−	0.853998i	$-0.325829\pi$
$139$	−1.54623	−	1.12340i	−0.131150	−	0.0952858i	−0.651426	+	0.758712i	$0.725829\pi$
$140$	14.9104	−	25.6736i	1.26016	−	2.16982i
$141$	−2.83057	+	8.71161i	−0.238377	+	0.733650i
$142$	9.85825	−	2.08226i	0.827286	−	0.174739i
$143$	−1.59371	+	2.90862i	−0.133273	+	0.243231i
$144$	3.42846	−	3.76874i	0.285705	−	0.314061i
$145$	−30.7535	−	9.99242i	−2.55394	−	0.829825i
$146$	−1.88502	+	2.08815i	−0.156006	+	0.172817i
$147$	−8.43451	+	11.6091i	−0.695667	+	0.957504i
$148$	−6.67154	−	7.44771i	−0.548397	−	0.612198i
$149$	0.142832	−	0.0464089i	0.0117013	−	0.00380197i	−0.303161	−	0.952940i	$-0.598042\pi$
$149$	0.142832	−	0.0464089i	0.0117013	−	0.00380197i	0.314862	+	0.949138i	$0.398042\pi$
$150$	12.3776	+	5.52985i	1.01063	+	0.451510i
$151$	13.9531	−	10.1376i	1.13549	−	0.824982i	0.149006	−	0.988836i	$-0.452393\pi$
$151$	13.9531	−	10.1376i	1.13549	−	0.824982i	0.986485	+	0.163854i	$0.0523925\pi$
$152$	6.10614	−	1.95814i	0.495274	−	0.158826i
$153$		−	3.54456i		−	0.286560i
$154$	15.8147	−	12.0071i	1.27438	−	0.967563i
$155$		−	7.81885i		−	0.628025i
$156$	0.267990	+	2.61406i	0.0214564	+	0.209292i
$157$	−10.3934	+	7.55124i	−0.829483	+	0.602654i	−0.919413	−	0.393294i	$-0.871336\pi$
$157$	−10.3934	+	7.55124i	−0.829483	+	0.602654i	0.0899303	+	0.995948i	$0.471336\pi$
$158$	−5.49148	+	12.2917i	−0.436878	+	0.977877i
$159$	−7.37536	+	2.39640i	−0.584904	+	0.190047i
$160$	−4.24815	+	19.3759i	−0.335846	+	1.53180i
$161$	12.2836	−	16.9069i	0.968081	−	1.33245i
$162$	−3.73344	−	3.37026i	−0.293327	−	0.264793i
$163$	−17.5832	−	5.71312i	−1.37722	−	0.447486i	−0.475465	−	0.879734i	$-0.657720\pi$
$163$	−17.5832	−	5.71312i	−1.37722	−	0.447486i	−0.901754	+	0.432249i	$0.857720\pi$
$164$	9.35813	+	21.1642i	0.730747	+	1.65265i
$165$	10.4758	+	11.1242i	0.815538	+	0.866017i
$166$	0.780430	+	3.69487i	0.0605731	+	0.286777i
$167$	−3.04443	+	9.36979i	−0.235585	+	0.725056i	0.761458	+	0.648214i	$0.224484\pi$
$167$	−3.04443	+	9.36979i	−0.235585	+	0.725056i	−0.997043	+	0.0768421i	$0.975516\pi$
$168$	4.91888	−	14.9434i	0.379500	−	1.15291i
$169$	0.809017	+	0.587785i	0.0622321	+	0.0452143i
$170$	6.88481	+	11.9601i	0.528041	+	0.917301i
$171$	0.892346	+	2.74636i	0.0682394	+	0.210019i
$172$	−0.364961	−	0.0785512i	−0.0278280	−	0.00598947i
$173$	−8.71177	−	11.9907i	−0.662344	−	0.911638i	0.337212	−	0.941429i	$-0.390516\pi$
$173$	−8.71177	−	11.9907i	−0.662344	−	0.911638i	−0.999556	+	0.0297905i	$0.990516\pi$
$174$	−17.0386	−	1.81286i	−1.29169	−	0.137433i
$175$	−30.8867			−2.33482
$176$	−7.61173	+	10.8656i	−0.573756	+	0.819026i
$177$	−1.82849			−0.137438
$178$	4.18124	+	0.444873i	0.313397	+	0.0333446i
$179$	−0.459474	−	0.632412i	−0.0343427	−	0.0472687i	0.791500	−	0.611169i	$-0.209300\pi$
$179$	−0.459474	−	0.632412i	−0.0343427	−	0.0472687i	−0.825843	+	0.563900i	$0.809300\pi$
$180$	−8.73276	−	1.87956i	−0.650901	−	0.140094i
$181$	−2.75885	−	8.49087i	−0.205064	−	0.631121i	−0.999711	−	0.0240497i	$-0.992344\pi$
$181$	−2.75885	−	8.49087i	−0.205064	−	0.631121i	0.794647	−	0.607072i	$-0.207656\pi$
$182$	−2.98682	−	5.18865i	−0.221398	−	0.384608i
$183$	12.8154	+	9.31094i	0.947342	+	0.688284i
$184$	−4.36557	+	13.2625i	−0.321834	+	0.977722i
$185$	−5.41734	+	16.6728i	−0.398290	+	1.22581i
$186$	−0.856229	−	4.05373i	−0.0627818	−	0.297234i
$187$	1.16965	+	9.15523i	0.0855335	+	0.669497i
$188$	5.63866	+	12.7523i	0.411241	+	0.930059i
$189$	22.6077	+	7.34568i	1.64447	+	0.534320i
$190$	−8.34540	−	7.53358i	−0.605439	−	0.546543i
$191$	1.31488	−	1.80978i	0.0951414	−	0.130951i	−0.758792	−	0.651333i	$-0.774210\pi$
$191$	1.31488	−	1.80978i	0.0951414	−	0.130951i	0.853934	+	0.520382i	$0.174210\pi$
$192$	−0.0806569	+	10.5107i	−0.00582091	+	0.758547i
$193$	−22.0822	+	7.17494i	−1.58951	+	0.516463i	−0.964484	−	0.264140i	$-0.914912\pi$
$193$	−22.0822	+	7.17494i	−1.58951	+	0.516463i	−0.625027	+	0.780603i	$0.714912\pi$
$194$	−5.00535	+	11.2036i	−0.359363	+	0.804373i
$195$	3.72731	−	2.70805i	0.266918	−	0.193927i
$196$	2.22766	+	21.7293i	0.159118	+	1.55209i
$197$			25.9318i			1.84756i	0.382920	+	0.923782i	$0.374919\pi$
$197$			25.9318i			1.84756i	−0.382920	+	0.923782i	$0.625081\pi$
$198$	−4.90619	−	3.40897i	−0.348668	−	0.242265i
$199$		−	14.5758i		−	1.03325i	−0.856212	−	0.516624i	$-0.827188\pi$
$199$		−	14.5758i		−	1.03325i	0.856212	−	0.516624i	$-0.172812\pi$
$200$	19.6505	−	6.30157i	1.38950	−	0.445588i
$201$	9.68971	−	7.03999i	0.683459	−	0.496562i
$202$	3.12695	+	1.39700i	0.220011	+	0.0982928i
$203$	37.1280	−	12.0636i	2.60587	−	0.846699i
$204$	4.87920	+	5.44685i	0.341612	+	0.381356i
$205$	23.8479	−	32.8238i	1.66561	−	2.29251i
$206$	12.2522	−	13.5726i	0.853654	−	0.945644i
$207$	−5.97995	−	1.94300i	−0.415635	−	0.135048i
$208$	2.95885	+	2.69169i	0.205159	+	0.186635i
$209$	−3.21110	−	6.79911i	−0.222116	−	0.470304i
$210$	−26.9875	+	5.70031i	−1.86231	+	0.393358i
$211$	−5.69379	+	17.5237i	−0.391976	+	1.20638i	0.539315	+	0.842104i	$0.318683\pi$
$211$	−5.69379	+	17.5237i	−0.391976	+	1.20638i	−0.931291	+	0.364275i	$0.881317\pi$
$212$	−5.92842	+	10.2079i	−0.407166	+	0.701084i
$213$	−7.57314	−	5.50221i	−0.518903	−	0.377005i
$214$	23.4401	−	13.4932i	1.60233	−	0.922378i
$215$	0.202262	+	0.622498i	0.0137941	+	0.0424540i
$216$	−15.8819	−	0.0609363i	−1.08063	−	0.00414619i
$217$	5.54841	+	7.63673i	0.376650	+	0.518415i
$218$	0.705804	−	6.63366i	0.0478031	−	0.449288i
$219$	2.61355			0.176607
$220$	23.1761	+	1.97304i	1.56253	+	0.133022i
$221$	2.78284			0.187194
$222$	−0.982833	+	9.23737i	−0.0659634	+	0.619972i
$223$	1.23895	+	1.70527i	0.0829664	+	0.114193i	0.848483	−	0.529223i	$-0.177516\pi$
$223$	1.23895	+	1.70527i	0.0829664	+	0.114193i	−0.765516	+	0.643416i	$0.777516\pi$
$224$	−9.60030	−	21.9391i	−0.641447	−	1.46587i
$225$	2.87170	+	8.83818i	0.191447	+	0.589212i
$226$	4.24472	−	2.44346i	0.282355	−	0.162536i
$227$	−18.2355	−	13.2489i	−1.21034	−	0.879360i	−0.215074	−	0.976598i	$-0.568999\pi$
$227$	−18.2355	−	13.2489i	−1.21034	−	0.879360i	−0.995261	+	0.0972375i	$0.968999\pi$
$228$	−5.15171	−	2.99193i	−0.341180	−	0.198146i
$229$	0.270646	−	0.832963i	0.0178848	−	0.0550437i	−0.941716	−	0.336409i	$-0.890787\pi$
$229$	0.270646	−	0.832963i	0.0178848	−	0.0550437i	0.959601	+	0.281366i	$0.0907874\pi$
$230$	23.9517	−	5.05909i	1.57933	−	0.333586i
$231$	−18.1257	−	3.43126i	−1.19258	−	0.225761i
$232$	−21.1600	+	15.2499i	−1.38922	+	1.00121i
$233$	6.76102	+	2.19679i	0.442929	+	0.143916i	0.521987	−	0.852954i	$-0.325191\pi$
$233$	6.76102	+	2.19679i	0.442929	+	0.143916i	−0.0790576	+	0.996870i	$0.525191\pi$
$234$	−1.20702	+	1.33709i	−0.0789055	+	0.0874083i
$235$	14.3693	−	19.7777i	0.937351	−	1.29015i
$236$	−2.07318	+	1.85712i	−0.134953	+	0.120888i
$237$	11.8954	−	3.86504i	0.772687	−	0.251061i
$238$	−15.2116	−	6.79596i	−0.986020	−	0.440516i
$239$	−2.45828	+	1.78605i	−0.159013	+	0.115530i	−0.664446	−	0.747336i	$-0.731333\pi$
$239$	−2.45828	+	1.78605i	−0.159013	+	0.115530i	0.505433	+	0.862866i	$0.331333\pi$
$240$	16.0068	−	9.13264i	1.03323	−	0.589510i
$241$			8.26308i			0.532272i	0.963936	+	0.266136i	$0.0857470\pi$
$241$			8.26308i			0.532272i	−0.963936	+	0.266136i	$0.914253\pi$
$242$	13.7971	+	7.18606i	0.886913	+	0.461937i
$243$		−	12.1727i		−	0.780876i
$244$	23.9871	−	2.45913i	1.53562	−	0.157430i
$245$	30.9831	−	22.5105i	1.97944	−	1.43814i
$246$	8.76959	−	19.6292i	0.559128	−	1.25151i
$247$	−2.15618	+	0.700584i	−0.137194	+	0.0445771i
$248$	−5.08802	−	3.72657i	−0.323089	−	0.236638i
$249$	2.06223	−	2.83841i	0.130688	−	0.179877i
$250$	−8.45156	−	7.62942i	−0.534524	−	0.482527i
$251$	−7.17189	−	2.33029i	−0.452686	−	0.147087i	0.0737952	−	0.997273i	$-0.476489\pi$
$251$	−7.17189	−	2.33029i	−0.452686	−	0.147087i	−0.526481	+	0.850187i	$0.676489\pi$
$252$	9.86312	−	4.36115i	0.621318	−	0.274727i
$253$	16.0868	+	3.04529i	1.01137	+	0.191455i
$254$	−6.21012	−	29.4012i	−0.389658	−	1.84479i
$255$	3.96195	−	12.1936i	0.248107	−	0.763594i
$256$	10.5839	+	11.9992i	0.661492	+	0.749952i
$257$	−11.3592	−	8.25296i	−0.708569	−	0.514806i	0.174143	−	0.984720i	$-0.444285\pi$
$257$	−11.3592	−	8.25296i	−0.708569	−	0.514806i	−0.882712	+	0.469915i	$0.844285\pi$
$258$	0.173032	+	0.300588i	0.0107725	+	0.0187138i
$259$	−6.54022	−	20.1287i	−0.406390	−	1.25074i
$260$	1.47565	−	6.85612i	0.0915161	−	0.425198i
$261$	−6.90396	−	9.50249i	−0.427344	−	0.588189i
$262$	19.3156	+	2.05514i	1.19332	+	0.126967i
$263$	19.2511			1.18708			0.593538	−	0.804806i	$-0.297731\pi$
$263$	19.2511			1.18708			0.593538	+	0.804806i	$0.297731\pi$
$264$	12.2318	−	1.51504i	0.752817	−	0.0932441i
$265$	20.6968			1.27139
$266$	13.4970	+	1.43604i	0.827553	+	0.0880495i
$267$	−2.29619	−	3.16044i	−0.140525	−	0.193416i
$268$	3.83619	−	17.8235i	0.234332	−	1.08875i
$269$	−4.18938	−	12.8936i	−0.255431	−	0.786136i	−0.993744	−	0.111678i	$-0.964377\pi$
$269$	−4.18938	−	12.8936i	−0.255431	−	0.786136i	0.738313	−	0.674458i	$-0.235623\pi$
$270$	13.8920	+	24.1329i	0.845440	+	1.46868i
$271$	5.66393	+	4.11509i	0.344059	+	0.249974i	0.746373	−	0.665528i	$-0.231794\pi$
$271$	5.66393	+	4.11509i	0.344059	+	0.249974i	−0.402313	+	0.915502i	$0.631794\pi$
$272$	11.0643	+	1.22016i	0.670872	+	0.0739833i
$273$	−1.71880	+	5.28994i	−0.104027	+	0.320161i
$274$	3.14390	+	14.8845i	0.189930	+	0.899203i
$275$	−10.3338	−	21.8805i	−0.623151	−	1.31945i
$276$	11.8639	−	5.24582i	0.714122	−	0.315761i
$277$	1.03122	+	0.335062i	0.0619598	+	0.0201319i	0.339833	−	0.940486i	$-0.389629\pi$
$277$	1.03122	+	0.335062i	0.0619598	+	0.0201319i	−0.277873	+	0.960618i	$0.589629\pi$
$278$	2.00634	+	1.81117i	0.120332	+	0.108627i
$279$	1.66937	−	2.29769i	0.0999427	−	0.137559i
$280$	−24.8095	+	33.8732i	−1.48265	+	2.02431i
$281$	−3.83573	+	1.24630i	−0.228820	+	0.0743482i	−0.421183	−	0.906976i	$-0.638385\pi$
$281$	−3.83573	+	1.24630i	−0.228820	+	0.0743482i	0.192363	+	0.981324i	$0.438385\pi$
$282$	5.28404	−	11.8274i	0.314660	−	0.704312i
$283$	7.92911	−	5.76084i	0.471337	−	0.342446i	−0.326625	−	0.945154i	$-0.605912\pi$
$283$	7.92911	−	5.76084i	0.471337	−	0.342446i	0.797962	+	0.602708i	$0.205912\pi$
$284$	−14.1750	+	1.45320i	−0.841130	+	0.0862316i
$285$			10.4452i			0.618718i
$286$	2.67640	−	3.85187i	0.158259	−	0.227766i
$287$			48.9821i			2.89132i
$288$	−5.38525	+	4.78690i	−0.317329	+	0.282071i
$289$	−7.48809	+	5.44041i	−0.440476	+	0.320024i
$290$	41.7528	+	18.6536i	2.45181	+	1.09537i
$291$	10.8423	−	3.52289i	0.635589	−	0.206515i
$292$	2.96330	−	2.65447i	0.173414	−	0.155341i
$293$	7.20799	−	9.92095i	0.421095	−	0.579588i	−0.544785	−	0.838576i	$-0.683389\pi$
$293$	7.20799	−	9.92095i	0.421095	−	0.579588i	0.965881	+	0.258988i	$0.0833889\pi$
$294$	13.5983	−	15.0636i	0.793067	−	0.878528i
$295$	4.64113	+	1.50800i	0.270217	+	0.0877989i
$296$	8.26766	+	11.4718i	0.480548	+	0.666783i
$297$	2.36010	+	18.4732i	0.136947	+	1.07192i
$298$	−0.207805	+	0.0438927i	−0.0120378	+	0.00254263i
$299$	1.52546	−	4.69488i	0.0882195	−	0.271512i
$300$	−16.5789	−	9.62848i	−0.957186	−	0.555901i
$301$	−0.639287	−	0.464469i	−0.0368479	−	0.0267716i
$302$	−21.1388	+	12.1685i	−1.21640	+	0.700217i
$303$	−0.983245	−	3.02612i	−0.0564860	−	0.173846i
$304$	−8.87991	+	1.84005i	−0.509298	+	0.105534i
$305$	−24.8496	−	34.2025i	−1.42288	−	1.95843i
$306$	−0.530351	+	4.98462i	−0.0303182	+	0.284952i
$307$	−24.4298			−1.39428			−0.697141	−	0.716934i	$-0.745545\pi$
$307$	−24.4298			−1.39428			−0.697141	+	0.716934i	$0.745545\pi$
$308$	−24.0363	+	14.5191i	−1.36960	+	0.827302i
$309$	−16.9875			−0.966386
$310$	−1.16989	+	10.9955i	−0.0664453	+	0.624501i
$311$	11.1050	+	15.2847i	0.629707	+	0.866718i	0.998014	−	0.0629863i	$-0.0200624\pi$
$311$	11.1050	+	15.2847i	0.629707	+	0.866718i	−0.368307	+	0.929704i	$0.620062\pi$
$312$	0.0142584	−	3.71619i	0.000807221	−	0.210388i
$313$	8.21339	+	25.2782i	0.464248	+	1.42881i	0.859925	+	0.510420i	$0.170510\pi$
$313$	8.21339	+	25.2782i	0.464248	+	1.42881i	−0.395677	+	0.918390i	$0.629490\pi$
$314$	15.7458	−	9.06402i	0.888588	−	0.511512i
$315$	−15.2968	−	11.1138i	−0.861877	−	0.626190i
$316$	9.56167	−	16.4639i	0.537886	−	0.926167i
$317$	−5.45696	+	16.7948i	−0.306493	+	0.943290i	0.672622	+	0.739986i	$0.265168\pi$
$317$	−5.45696	+	16.7948i	−0.306493	+	0.943290i	−0.979116	+	0.203304i	$0.934832\pi$
$318$	10.7303	−	2.26647i	0.601728	−	0.127097i
$319$	20.9679	+	22.2658i	1.17398	+	1.24664i
$320$	8.87317	−	26.6122i	0.496025	−	1.48767i
$321$	−23.8977	−	7.76484i	−1.33384	−	0.433391i
$322$	−19.8038	+	21.9378i	−1.10362	+	1.22255i
$323$	−3.70839	+	5.10416i	−0.206340	+	0.284003i
$324$	4.74598	+	5.29813i	0.263665	+	0.294341i
$325$	−6.93889	+	2.25458i	−0.384900	+	0.125062i
$326$	23.8720	+	10.6651i	1.32215	+	0.590685i
$327$	−5.01413	+	3.64298i	−0.277282	+	0.201457i
$328$	−9.99343	−	31.1630i	−0.551795	−	1.72069i
$329$			29.5137i			1.62715i
$330$	−13.0674	−	17.2111i	−0.719336	−	0.947441i
$331$			8.80973i			0.484226i	0.970248	+	0.242113i	$0.0778406\pi$
$331$			8.80973i			0.484226i	−0.970248	+	0.242113i	$0.922159\pi$
$332$	−0.544659	−	5.31277i	−0.0298921	−	0.291576i
$333$	−5.15172	+	3.74295i	−0.282313	+	0.205112i
$334$	5.68325	−	12.7210i	0.310974	−	0.696062i
$335$	−30.4008	+	9.87782i	−1.66097	+	0.539683i
$336$	−9.15321	+	20.2786i	−0.499349	+	1.10629i
$337$	−6.26131	+	8.61795i	−0.341075	+	0.469450i	−0.944755	−	0.327777i	$-0.893701\pi$
$337$	−6.26131	+	8.61795i	−0.341075	+	0.469450i	0.603680	+	0.797227i	$0.293701\pi$
$338$	−1.04975	−	0.947637i	−0.0570991	−	0.0515447i
$339$	−4.32758	−	1.40612i	−0.235042	−	0.0763698i
$340$	−7.89241	−	17.8494i	−0.428026	−	0.968019i
$341$	−3.55362	+	6.48558i	−0.192439	+	0.351214i
$342$	−0.843963	−	3.99565i	−0.0456363	−	0.216060i
$343$	−5.13017	+	15.7890i	−0.277003	+	0.852528i
$344$	0.501483	+	0.165072i	0.0270382	+	0.00890007i
$345$	−18.3998	−	13.3682i	−0.990612	−	0.719722i
$346$	10.4571	+	18.1658i	0.562175	+	0.976598i
$347$	2.36861	+	7.28984i	0.127154	+	0.391339i	0.994287	−	0.106737i	$-0.0340402\pi$
$347$	2.36861	+	7.28984i	0.127154	+	0.391339i	−0.867134	+	0.498076i	$0.834040\pi$
$348$	23.6897	+	5.09877i	1.26990	+	0.273323i
$349$	−5.84476	−	8.04462i	−0.312863	−	0.430619i	0.623409	−	0.781896i	$-0.285747\pi$
$349$	−5.84476	−	8.04462i	−0.312863	−	0.430619i	−0.936271	+	0.351278i	$0.885747\pi$
$350$	43.4352	+	4.62140i	2.32171	+	0.247024i
$351$	5.61515			0.299715
$352$	12.3300	−	14.1411i	0.657189	−	0.753726i
$353$	−5.27624			−0.280826			−0.140413	−	0.990093i	$-0.544843\pi$
$353$	−5.27624			−0.280826			−0.140413	+	0.990093i	$0.544843\pi$
$354$	2.57136	+	0.273586i	0.136666	+	0.0145409i
$355$	14.6846	+	20.2117i	0.779379	+	1.07272i
$356$	−5.81341	−	1.25123i	−0.308110	−	0.0663150i
$357$	4.78316	+	14.7211i	0.253152	+	0.779121i
$358$	0.551523	+	0.958094i	0.0291489	+	0.0506368i
$359$	26.6501	+	19.3624i	1.40654	+	1.02191i	0.993815	+	0.111052i	$0.0354219\pi$
$359$	26.6501	+	19.3624i	1.40654	+	1.02191i	0.412722	+	0.910857i	$0.364578\pi$
$360$	11.9994	+	3.94982i	0.632426	+	0.208174i
$361$	−4.28300	+	13.1817i	−0.225421	+	0.693775i
$362$	2.60927	+	12.3533i	0.137140	+	0.649275i
$363$	−3.63358	−	13.9885i	−0.190713	−	0.734204i
$364$	3.42395	+	7.74357i	0.179464	+	0.405873i
$365$	−6.63380	−	2.15545i	−0.347229	−	0.112822i
$366$	−16.6289	−	15.0112i	−0.869204	−	0.784650i
$367$	9.85637	−	13.5661i	0.514498	−	0.708146i	−0.470171	−	0.882575i	$-0.655808\pi$
$367$	9.85637	−	13.5661i	0.514498	−	0.708146i	0.984670	+	0.174429i	$0.0558079\pi$
$368$	8.12358	−	17.9975i	0.423471	−	0.938184i
$369$	14.0162	−	4.55413i	0.729652	−	0.237078i
$370$	10.1129	−	22.6361i	0.525746	−	1.17679i
$371$	−20.2147	+	14.6868i	−1.04949	+	0.762502i
$372$	0.597559	+	5.82877i	0.0309820	+	0.302208i
$373$			2.28791i			0.118464i	0.998244	+	0.0592318i	$0.0188651\pi$
$373$			2.28791i			0.118464i	−0.998244	+	0.0592318i	$0.981135\pi$
$374$	−0.275010	−	13.0498i	−0.0142204	−	0.674789i
$375$			10.5780i			0.546248i
$376$	−6.02145	−	18.7770i	−0.310533	−	0.968348i
$377$	7.46044	−	5.42032i	0.384232	−	0.279161i
$378$	−30.6936	−	13.7127i	−1.57871	−	0.705306i
$379$	27.8325	−	9.04332i	1.42966	−	0.464524i	0.511001	−	0.859580i	$-0.329275\pi$
$379$	27.8325	−	9.04332i	1.42966	−	0.464524i	0.918657	+	0.395056i	$0.129275\pi$
$380$	10.6087	+	11.8430i	0.544216	+	0.607531i
$381$	−16.4098	+	22.5861i	−0.840697	+	1.15712i
$382$	−2.11987	+	2.34831i	−0.108462	+	0.120150i
$383$	−16.8205	−	5.46531i	−0.859488	−	0.279264i	−0.154073	−	0.988059i	$-0.549239\pi$
$383$	−16.8205	−	5.46531i	−0.859488	−	0.279264i	−0.705415	+	0.708795i	$0.749239\pi$
$384$	1.68609	−	14.7689i	0.0860428	−	0.753674i
$385$	43.1775	+	23.6580i	2.20053	+	1.20573i
$386$	32.1272	−	6.78591i	1.63523	−	0.345394i
$387$	−0.0734693	+	0.226115i	−0.00373465	+	0.0114941i
$388$	8.71524	−	15.0065i	0.442449	−	0.761837i
$389$	11.9817	+	8.70522i	0.607497	+	0.441372i	0.848532	−	0.529144i	$-0.177487\pi$
$389$	11.9817	+	8.70522i	0.607497	+	0.441372i	−0.241035	+	0.970516i	$0.577487\pi$
$390$	−5.64681	+	3.25057i	−0.285937	+	0.164599i
$391$	−4.24511	−	13.0651i	−0.214684	−	0.660731i
$392$	0.118522	−	30.8907i	0.00598627	−	1.56021i
$393$	−10.6075	−	14.6000i	−0.535078	−	0.736472i
$394$	3.88002	−	36.4673i	0.195473	−	1.83719i
$395$	−33.3808			−1.67957
$396$	6.38940	+	5.52804i	0.321079	+	0.277795i
$397$	1.61251			0.0809296			0.0404648	−	0.999181i	$-0.487116\pi$
$397$	1.61251			0.0809296			0.0404648	+	0.999181i	$0.487116\pi$
$398$	−2.18089	+	20.4976i	−0.109318	+	1.02745i
$399$	−7.41209	−	10.2019i	−0.371069	−	0.510732i
$400$	−28.5768	+	5.92156i	−1.42884	+	0.296078i
$401$	−11.9018	−	36.6299i	−0.594346	−	1.82921i	−0.557956	−	0.829871i	$-0.688414\pi$
$401$	−11.9018	−	36.6299i	−0.594346	−	1.82921i	−0.0363901	−	0.999338i	$-0.511586\pi$
$402$	−14.6798	+	8.45035i	−0.732160	+	0.421465i
$403$	1.80393	+	1.31063i	0.0898600	+	0.0652871i
$404$	−4.18833	−	2.43244i	−0.208377	−	0.121018i
$405$	3.85377	−	11.8607i	0.191495	−	0.589362i
$406$	−54.0172	+	11.4095i	−2.68083	+	0.566245i
$407$	12.0713	−	11.3677i	0.598351	−	0.563474i
$408$	−6.04652	−	8.38983i	−0.299347	−	0.415358i
$409$	−8.05254	−	2.61643i	−0.398173	−	0.129374i	0.103084	−	0.994673i	$-0.467129\pi$
$409$	−8.05254	−	2.61643i	−0.398173	−	0.129374i	−0.501257	+	0.865298i	$0.667129\pi$
$410$	−38.4479	+	42.5911i	−1.89881	+	2.10342i
$411$	8.30751	−	11.4343i	0.409779	−	0.564012i
$412$	−19.2608	+	17.2535i	−0.948913	+	0.850020i
$413$	−5.60313	+	1.82057i	−0.275712	+	0.0895842i
$414$	8.11874	+	3.62714i	0.399014	+	0.178264i
$415$	−7.57532	+	5.50379i	−0.371858	+	0.270170i
$416$	−3.75821	−	4.22798i	−0.184262	−	0.207294i
$417$		−	2.51115i		−	0.122972i
$418$	3.49838	+	10.0419i	0.171111	+	0.491164i
$419$		−	14.8388i		−	0.724925i	−0.931998	−	0.362463i	$-0.881936\pi$
$419$		−	14.8388i		−	0.724925i	0.931998	−	0.362463i	$-0.118064\pi$
$420$	38.8048	−	3.97822i	1.89348	−	0.194117i
$421$	−4.15411	+	3.01814i	−0.202459	+	0.147095i	−0.684395	−	0.729111i	$-0.739934\pi$
$421$	−4.15411	+	3.01814i	−0.202459	+	0.147095i	0.481936	+	0.876206i	$0.339934\pi$
$422$	10.6290	−	23.7912i	0.517412	−	1.15814i
$423$	8.44531	−	2.74405i	0.410625	−	0.133420i
$424$	9.86436	−	13.4681i	0.479056	−	0.654071i
$425$	−11.9341	+	16.4259i	−0.578891	+	0.796775i
$426$	9.82667	+	8.87076i	0.476104	+	0.429789i
$427$	48.5415	+	15.7721i	2.34909	+	0.763265i
$428$	−34.9822	+	15.4680i	−1.69093	+	0.747673i
$429$	−4.32252	+	0.552235i	−0.208693	+	0.0266622i
$430$	−0.191295	−	0.905668i	−0.00922508	−	0.0436752i
$431$	−9.56636	+	29.4422i	−0.460795	+	1.41818i	0.403399	+	0.915024i	$0.367829\pi$
$431$	−9.56636	+	29.4422i	−0.460795	+	1.41818i	−0.864194	+	0.503158i	$0.832171\pi$
$432$	22.3253	+	2.46202i	1.07413	+	0.118454i
$433$	23.5908	+	17.1397i	1.13370	+	0.823682i	0.986229	−	0.165385i	$-0.0528866\pi$
$433$	23.5908	+	17.1397i	1.13370	+	0.823682i	0.147471	+	0.989066i	$0.452887\pi$
$434$	−6.65995	−	11.5695i	−0.319688	−	0.555355i
$435$	−13.1288	−	40.4064i	−0.629480	−	1.93734i
$436$	−1.98511	+	9.22315i	−0.0950696	+	0.441709i
$437$	6.57831	+	9.05427i	0.314683	+	0.433124i
$438$	−3.67537	−	0.391050i	−0.175616	−	0.0186851i
$439$	−36.4625			−1.74026			−0.870131	−	0.492820i	$-0.835966\pi$
$439$	−36.4625			−1.74026			−0.870131	+	0.492820i	$0.835966\pi$
$440$	−32.2967	−	6.24234i	−1.53969	−	0.297592i
$441$	13.9110			0.662429
$442$	−3.91345	−	0.416381i	−0.186144	−	0.0198052i
$443$	6.30691	+	8.68071i	0.299650	+	0.412433i	0.932119	−	0.362153i	$-0.117958\pi$
$443$	6.30691	+	8.68071i	0.299650	+	0.412433i	−0.632468	+	0.774586i	$0.717958\pi$
$444$	2.76427	−	12.8432i	0.131186	−	0.609513i
$445$	3.22180	+	9.91567i	0.152728	+	0.470048i
$446$	−1.48716	−	2.58346i	−0.0704191	−	0.122330i
$447$	0.159637	+	0.115983i	0.00755056	+	0.00548580i
$448$	10.2180	+	32.2889i	0.482757	+	1.52551i
$449$	4.80525	−	14.7890i	0.226774	−	0.697938i	−0.771333	−	0.636432i	$-0.780410\pi$
$449$	4.80525	−	14.7890i	0.226774	−	0.697938i	0.998107	−	0.0615063i	$-0.0195904\pi$
$450$	−2.71600	−	12.8586i	−0.128033	−	0.606160i
$451$	−34.6995	+	16.3880i	−1.63394	+	0.771680i
$452$	−6.33485	+	2.80106i	−0.297966	+	0.131751i
$453$	21.5515	+	7.00250i	1.01258	+	0.329006i
$454$	23.6619	+	21.3601i	1.11051	+	1.00248i
$455$	8.72546	−	12.0096i	0.409056	−	0.563017i
$456$	6.79706	+	4.97831i	0.318301	+	0.233131i
$457$	9.91985	−	3.22315i	0.464031	−	0.150773i	−0.0676651	−	0.997708i	$-0.521555\pi$
$457$	9.91985	−	3.22315i	0.464031	−	0.150773i	0.531696	+	0.846935i	$0.321555\pi$
$458$	−0.505235	+	1.13088i	−0.0236081	+	0.0528426i
$459$	12.6418	−	9.18479i	0.590068	−	0.428709i
$460$	−34.4397	+	3.53072i	−1.60576	+	0.164620i
$461$		−	3.39883i		−	0.158299i	−0.996863	−	0.0791497i	$-0.974779\pi$
$461$		−	3.39883i		−	0.158299i	0.996863	−	0.0791497i	$-0.0252205\pi$
$462$	24.9763	+	7.53735i	1.16200	+	0.350669i
$463$		−	21.8995i		−	1.01775i	−0.860839	−	0.508877i	$-0.830061\pi$
$463$		−	21.8995i		−	1.01775i	0.860839	−	0.508877i	$-0.169939\pi$
$464$	32.0385	−	18.2796i	1.48735	−	0.848607i
$465$	8.31106	−	6.03834i	0.385416	−	0.280021i
$466$	−9.17916	−	4.10090i	−0.425217	−	0.189971i
$467$	−9.32544	+	3.03002i	−0.431530	+	0.140213i	−0.516724	−	0.856152i	$-0.672849\pi$
$467$	−9.32544	+	3.03002i	−0.431530	+	0.140213i	0.0851946	+	0.996364i	$0.472849\pi$
$468$	1.89747	−	1.69972i	0.0877104	−	0.0785695i
$469$	22.6832	−	31.2207i	1.04741	−	1.44164i
$470$	−23.1665	+	25.6629i	−1.06859	+	1.18374i
$471$	−16.0532	−	5.21600i	−0.739693	−	0.240341i
$472$	3.19334	−	2.30143i	0.146985	−	0.105932i
$473$	0.115149	−	0.608276i	0.00529456	−	0.0279686i
$474$	−17.3065	+	3.65548i	−0.794913	+	0.167902i
$475$	5.11144	−	15.7314i	0.234529	−	0.721807i
$476$	20.3748	+	11.8330i	0.933879	+	0.542365i
$477$	6.08207	+	4.41888i	0.278479	+	0.202327i
$478$	3.72426	−	2.14385i	0.170344	−	0.0980576i
$479$	−7.53957	−	23.2044i	−0.344492	−	1.06024i	−0.961855	−	0.273558i	$-0.911799\pi$
$479$	−7.53957	−	23.2044i	−0.344492	−	1.06024i	0.617364	−	0.786678i	$-0.288201\pi$
$480$	−23.8764	+	10.4480i	−1.08980	+	0.476885i
$481$	−2.93860	−	4.04464i	−0.133989	−	0.184420i
$482$	1.23636	−	11.6202i	0.0563145	−	0.529284i
$483$	27.4576			1.24936
$484$	−18.3274	−	12.1700i	−0.833062	−	0.553180i
$485$	−30.4258			−1.38157
$486$	−1.82132	+	17.1181i	−0.0826170	+	0.776494i
$487$	−1.78379	−	2.45517i	−0.0808311	−	0.111254i	0.766687	−	0.642021i	$-0.221904\pi$
$487$	−1.78379	−	2.45517i	−0.0808311	−	0.111254i	−0.847518	+	0.530767i	$0.821904\pi$
$488$	−34.1005	−	0.130838i	−1.54366	−	0.00592274i
$489$	−7.50635	−	23.1022i	−0.339449	−	1.04472i
$490$	−46.9389	+	27.0202i	−2.12048	+	1.22065i
$491$	11.0394	+	8.02056i	0.498199	+	0.361963i	0.808329	−	0.588731i	$-0.200372\pi$
$491$	11.0394	+	8.02056i	0.498199	+	0.361963i	−0.310130	+	0.950694i	$0.600372\pi$
$492$	−15.2695	+	26.2920i	−0.688401	+	1.18533i
$493$	7.93008	−	24.4063i	0.357153	−	1.09920i
$494$	3.13700	−	0.662598i	0.141140	−	0.0298117i
$495$	2.75527	−	14.5548i	0.123840	−	0.654189i
$496$	6.59757	+	6.00188i	0.296240	+	0.269492i
$497$	−28.6852	−	9.32037i	−1.28670	−	0.418076i
$498$	−3.32475	+	3.68303i	−0.148986	+	0.165041i
$499$	3.34017	−	4.59736i	0.149527	−	0.205806i	−0.727683	−	0.685914i	$-0.759403\pi$
$499$	3.34017	−	4.59736i	0.149527	−	0.205806i	0.877209	+	0.480108i	$0.159403\pi$
$500$	10.7437	+	11.9936i	0.480472	+	0.536371i
$501$	−12.3108	+	4.00002i	−0.550005	+	0.178708i
$502$	9.73699	+	4.35012i	0.434583	+	0.194155i
$503$	−24.5792	+	17.8578i	−1.09593	+	0.796240i	−0.980391	−	0.197063i	$-0.936860\pi$
$503$	−24.5792	+	17.8578i	−1.09593	+	0.796240i	−0.115540	+	0.993303i	$0.536860\pi$
$504$	−14.5228	+	4.65722i	−0.646897	+	0.207449i
$505$			8.49190i			0.377885i
$506$	−22.1668	−	6.68948i	−0.985434	−	0.297384i
$507$			1.31388i			0.0583515i
$508$	4.33402	+	42.2754i	0.192291	+	1.87567i
$509$	14.4864	−	10.5250i	0.642099	−	0.466512i	−0.218472	−	0.975843i	$-0.570107\pi$
$509$	14.4864	−	10.5250i	0.642099	−	0.466512i	0.860571	+	0.509331i	$0.170107\pi$
$510$	−7.39605	+	16.5548i	−0.327503	+	0.733058i
$511$	8.00883	−	2.60223i	0.354290	−	0.115116i
$512$	−13.0885	−	18.4578i	−0.578434	−	0.815729i
$513$	−7.48270	+	10.2990i	−0.330369	+	0.454714i
$514$	14.7394	+	13.3056i	0.650126	+	0.586883i
$515$	43.1183	+	14.0100i	1.90002	+	0.617354i
$516$	−0.198356	−	0.448600i	−0.00873214	−	0.0197485i
$517$	−20.9079	+	9.87443i	−0.919528	+	0.434277i
$518$	6.18561	+	29.2851i	0.271780	+	1.28671i
$519$	6.01764	−	18.5204i	0.264145	−	0.812955i
$520$	−3.10102	+	9.42080i	−0.135989	+	0.413130i
$521$	7.11089	+	5.16637i	0.311534	+	0.226343i	0.732554	−	0.680708i	$-0.238328\pi$
$521$	7.11089	+	5.16637i	0.311534	+	0.226343i	−0.421020	+	0.907051i	$0.638328\pi$
$522$	8.28707	+	14.3961i	0.362715	+	0.630101i
$523$	6.25976	+	19.2656i	0.273720	+	0.842424i	0.989555	+	0.144154i	$0.0460462\pi$
$523$	6.25976	+	19.2656i	0.273720	+	0.842424i	−0.715835	+	0.698269i	$0.753954\pi$
$524$	−26.8556	−	5.78018i	−1.17319	−	0.252508i
$525$	−23.8532	−	32.8311i	−1.04104	−	1.43287i
$526$	−27.0724	−	2.88044i	−1.18041	−	0.125593i
$527$	6.20512			0.270299
$528$	−17.4280	+	0.300383i	−0.758457	+	0.0130725i
$529$	−1.36890			−0.0595174
$530$	−29.1054	−	3.09674i	−1.26426	−	0.134514i
$531$	1.04190	+	1.43406i	0.0452148	+	0.0622328i
$532$	−18.7656	−	4.03895i	−0.813592	−	0.175111i
$533$	3.57546	+	11.0041i	0.154870	+	0.476642i
$534$	2.75620	+	4.78802i	0.119273	+	0.207198i
$535$	54.2542	+	39.4180i	2.34561	+	1.70419i
$536$	−8.06157	+	24.4908i	−0.348207	+	1.05784i
$537$	0.317381	−	0.976798i	0.0136960	−	0.0421519i
$538$	3.96223	+	18.7588i	0.170824	+	0.808748i
$539$	−35.9307	+	4.59043i	−1.54765	+	0.197724i
$540$	−15.9251	−	36.0161i	−0.685308	−	1.54988i
$541$	−17.9874	−	5.84445i	−0.773337	−	0.251272i	−0.104344	−	0.994541i	$-0.533274\pi$
$541$	−17.9874	−	5.84445i	−0.773337	−	0.251272i	−0.668993	+	0.743269i	$0.733274\pi$
$542$	−7.34934	−	6.63441i	−0.315681	−	0.284972i
$543$	6.89478	−	9.48985i	0.295883	−	0.407249i
$544$	−15.3769	−	3.37137i	−0.659279	−	0.144546i
$545$	15.7315	−	5.11148i	0.673864	−	0.218952i
$546$	3.20862	−	7.18194i	0.137316	−	0.307358i
$547$	4.77925	−	3.47233i	0.204346	−	0.148466i	−0.480906	−	0.876772i	$-0.659692\pi$
$547$	4.77925	−	3.47233i	0.204346	−	0.148466i	0.685252	+	0.728306i	$0.259692\pi$
$548$	−2.19411	−	21.4021i	−0.0937279	−	0.914251i
$549$		−	15.3565i		−	0.655399i
$550$	11.2583	+	32.3162i	0.480055	+	1.37797i
$551$			20.9066i			0.890653i
$552$	−17.4688	+	5.60195i	−0.743522	+	0.238435i
$553$	32.6033	−	23.6877i	1.38643	−	1.00730i
$554$	−1.40004	−	0.625485i	−0.0594820	−	0.0265743i
$555$	−21.9061	+	7.11773i	−0.929863	+	0.302131i
$556$	−2.55047	−	2.84720i	−0.108164	−	0.120748i
$557$	−7.87458	+	10.8384i	−0.333657	+	0.459239i	−0.942575	−	0.333994i	$-0.891604\pi$
$557$	−7.87458	+	10.8384i	−0.333657	+	0.459239i	0.608919	+	0.793233i	$0.291604\pi$
$558$	−2.69139	+	2.98141i	−0.113936	+	0.126213i
$559$	−0.177524	−	0.0576810i	−0.00750845	−	0.00243964i
$560$	39.9572	−	43.9230i	1.68850	−	1.85609i
$561$	−8.82827	+	8.31368i	−0.372730	+	0.351004i
$562$	5.58057	−	1.17873i	0.235402	−	0.0497217i
$563$	3.82223	−	11.7636i	0.161088	−	0.495777i	−0.837639	−	0.546224i	$-0.816065\pi$
$563$	3.82223	−	11.7636i	0.161088	−	0.495777i	0.998727	+	0.0504472i	$0.0160647\pi$
$564$	−9.20048	+	15.8420i	−0.387410	+	0.667068i
$565$	9.82477	+	7.13811i	0.413331	+	0.300303i
$566$	−12.0125	+	6.91494i	−0.504922	+	0.290657i
$567$	4.65256	+	14.3191i	0.195389	+	0.601346i
$568$	20.1514	+	0.0773173i	0.845532	+	0.00324416i
$569$	21.9138	+	30.1618i	0.918675	+	1.26445i	0.964116	+	0.265481i	$0.0855309\pi$
$569$	21.9138	+	30.1618i	0.918675	+	1.26445i	−0.0454405	+	0.998967i	$0.514469\pi$
$570$	1.56285	−	14.6888i	0.0654606	−	0.615245i
$571$	13.2302			0.553667			0.276833	−	0.960918i	$-0.410715\pi$
$571$	13.2302			0.553667			0.276833	+	0.960918i	$0.410715\pi$
$572$	−4.34008	+	5.01634i	−0.181468	+	0.209744i
$573$	2.93916			0.122785
$574$	7.32891	−	68.8824i	0.305903	−	2.87510i
$575$	21.1700	+	29.1380i	0.882849	+	1.21514i
$576$	8.28939	−	5.92594i	0.345391	−	0.246914i
$577$	−5.99958	−	18.4648i	−0.249766	−	0.768700i	−0.994816	−	0.101691i	$-0.967575\pi$
$577$	−5.99958	−	18.4648i	−0.249766	−	0.768700i	0.745050	−	0.667008i	$-0.232425\pi$
$578$	11.3443	−	6.53032i	0.471862	−	0.271626i
$579$	−24.6802	−	17.9312i	−1.02568	−	0.745197i
$580$	−55.9249	−	32.4793i	−2.32216	−	1.34863i
$581$	3.49327	−	10.7512i	0.144925	−	0.446034i
$582$	−15.7744	+	3.33188i	−0.653871	+	0.138111i
$583$	−17.1676	−	9.40654i	−0.711007	−	0.389579i
$584$	−4.56439	+	3.28954i	−0.188876	+	0.136122i
$585$	−4.24777	−	1.38018i	−0.175624	−	0.0570636i
$586$	−11.6208	+	12.8731i	−0.480052	+	0.531783i
$587$	−13.6978	+	18.8534i	−0.565369	+	0.778164i	−0.991997	−	0.126264i	$-0.959702\pi$
$587$	−13.6978	+	18.8534i	−0.565369	+	0.778164i	0.426628	+	0.904427i	$0.359702\pi$
$588$	−21.3768	+	19.1490i	−0.881564	+	0.789690i
$589$	−4.80779	+	1.56215i	−0.198102	+	0.0643671i
$590$	−6.30108	−	2.81508i	−0.259411	−	0.115895i
$591$	−27.5642	+	20.0266i	−1.13384	+	0.823784i
$592$	−9.91016	−	17.3695i	−0.407305	−	0.713883i
$593$		−	16.3283i		−	0.670523i	−0.942125	−	0.335262i	$-0.891175\pi$
$593$		−	16.3283i		−	0.670523i	0.942125	−	0.335262i	$-0.108825\pi$
$594$	−0.554908	−	26.3316i	−0.0227681	−	1.08040i
$595$		−	41.3103i		−	1.69356i
$596$	0.298799	−	0.0306325i	0.0122393	−	0.00125476i
$597$	15.4933	−	11.2566i	0.634100	−	0.460701i
$598$	−2.84768	+	6.37405i	−0.116450	+	0.260654i
$599$	38.9610	−	12.6592i	1.59190	−	0.517240i	0.626814	−	0.779169i	$-0.284358\pi$
$599$	38.9610	−	12.6592i	1.59190	−	0.517240i	0.965087	+	0.261928i	$0.0843584\pi$
$600$	21.8739	+	16.0209i	0.892999	+	0.654051i
$601$	5.14359	−	7.07955i	0.209812	−	0.288781i	−0.691122	−	0.722738i	$-0.742883\pi$
$601$	5.14359	−	7.07955i	0.209812	−	0.288781i	0.900933	+	0.433957i	$0.142883\pi$
$602$	0.829518	+	0.748825i	0.0338086	+	0.0305198i
$603$	−11.0427	−	3.58800i	−0.449695	−	0.146115i
$604$	31.5477	−	13.9494i	1.28366	−	0.567591i
$605$	−2.31373	+	38.5027i	−0.0940664	+	1.56536i
$606$	0.929934	+	4.40267i	0.0377760	+	0.178846i
$607$	−0.869613	+	2.67639i	−0.0352965	+	0.108631i	−0.967152	−	0.254197i	$-0.918189\pi$
$607$	−0.869613	+	2.67639i	−0.0352965	+	0.108631i	0.931856	+	0.362828i	$0.118189\pi$
$608$	12.7629	−	1.25897i	0.517605	−	0.0510582i
$609$	41.4962	+	30.1488i	1.68151	+	1.22169i
$610$	29.8278	+	51.8163i	1.20769	+	2.09798i
$611$	2.15436	+	6.63044i	0.0871561	+	0.268239i
$612$	1.49164	−	6.93040i	0.0602960	−	0.280145i
$613$	−9.80922	−	13.5012i	−0.396191	−	0.545310i	0.563592	−	0.826053i	$-0.309419\pi$
$613$	−9.80922	−	13.5012i	−0.396191	−	0.545310i	−0.959783	+	0.280744i	$0.909419\pi$
$614$	34.3550	+	3.65529i	1.38646	+	0.147515i
$615$	53.3073			2.14956
$616$	35.9741	−	16.8214i	1.44944	−	0.677755i
$617$	−16.8386			−0.677898			−0.338949	−	0.940805i	$-0.610071\pi$
$617$	−16.8386			−0.677898			−0.338949	+	0.940805i	$0.610071\pi$
$618$	23.8891	+	2.54174i	0.960962	+	0.102244i
$619$	−11.8493	−	16.3091i	−0.476262	−	0.655518i	0.501519	−	0.865146i	$-0.332775\pi$
$619$	−11.8493	−	16.3091i	−0.476262	−	0.655518i	−0.977781	+	0.209628i	$0.932775\pi$
$620$	3.29038	−	15.2876i	0.132145	−	0.613966i
$621$	−8.56568	−	26.3625i	−0.343729	−	1.05789i
$622$	−13.3297	−	23.1561i	−0.534474	−	0.928477i
$623$	−10.1831	−	7.39845i	−0.407977	−	0.296413i
$624$	−0.576083	+	5.22385i	−0.0230618	+	0.209122i
$625$	−2.54896	+	7.84488i	−0.101958	+	0.313795i
$626$	−7.76806	−	36.7771i	−0.310474	−	1.46991i
$627$	4.74726	−	8.66406i	0.189587	−	0.346009i
$628$	−23.4992	+	10.3906i	−0.937719	+	0.414629i
$629$	−13.2317	−	4.29925i	−0.527584	−	0.171422i
$630$	19.8486	+	17.9178i	0.790788	+	0.713862i
$631$	5.95056	−	8.19025i	0.236888	−	0.326049i	−0.673977	−	0.738752i	$-0.735415\pi$
$631$	5.95056	−	8.19025i	0.236888	−	0.326049i	0.910865	+	0.412704i	$0.135415\pi$
$632$	−15.9098	+	21.7221i	−0.632856	+	0.864060i
$633$	−23.0240	+	7.48096i	−0.915123	+	0.297341i
$634$	10.1869	−	22.8016i	0.404574	−	0.905569i
$635$	60.2791	−	43.7953i	2.39210	−	1.73796i
$636$	−15.4290	+	1.58176i	−0.611798	+	0.0627208i
$637$			10.9216i			0.432729i
$638$	−26.1552	−	34.4491i	−1.03549	−	1.36385i
$639$			9.07477i			0.358992i
$640$	−16.4600	+	36.0965i	−0.650637	+	1.42684i
$641$	29.6221	−	21.5217i	1.17000	−	0.850057i	0.178994	−	0.983850i	$-0.442716\pi$
$641$	29.6221	−	21.5217i	1.17000	−	0.850057i	0.991009	+	0.133793i	$0.0427158\pi$
$642$	32.4450	+	14.4952i	1.28050	+	0.572079i
$643$	15.6766	−	5.09365i	0.618226	−	0.200874i	0.0168735	−	0.999858i	$-0.494629\pi$
$643$	15.6766	−	5.09365i	0.618226	−	0.200874i	0.601352	+	0.798984i	$0.294629\pi$
$644$	31.1320	−	27.8875i	1.22677	−	1.09892i
$645$	−0.505483	+	0.695737i	−0.0199034	+	0.0273946i
$646$	5.97872	−	6.62299i	0.235230	−	0.260578i
$647$	−30.6899	−	9.97177i	−1.20655	−	0.392031i	−0.364381	−	0.931250i	$-0.618719\pi$
$647$	−30.6899	−	9.97177i	−1.20655	−	0.392031i	−0.842165	+	0.539219i	$0.818719\pi$
$648$	−5.88143	−	8.16075i	−0.231044	−	0.320585i
$649$	−3.16435	−	3.36022i	−0.124212	−	0.131900i
$650$	10.0953	−	2.13234i	0.395972	−	0.0836372i
$651$	−3.83255	+	11.7954i	−0.150210	+	0.462297i
$652$	−31.9748	−	18.5699i	−1.25223	−	0.727253i
$653$	0.367603	+	0.267079i	0.0143854	+	0.0104516i	0.594955	−	0.803759i	$-0.297170\pi$
$653$	0.367603	+	0.267079i	0.0143854	+	0.0104516i	−0.580569	+	0.814211i	$0.697170\pi$
$654$	7.59634	−	4.37280i	0.297040	−	0.170990i
$655$	14.8834	+	45.8064i	0.581543	+	1.78981i
$656$	9.39079	+	45.3190i	0.366649	+	1.76941i
$657$	−1.48925	−	2.04977i	−0.0581010	−	0.0799692i
$658$	4.41597	−	41.5045i	0.172152	−	1.61801i
$659$	20.6393			0.803994			0.401997	−	0.915641i	$-0.368316\pi$
$659$	20.6393			0.803994			0.401997	+	0.915641i	$0.368316\pi$
$660$	15.8012	+	26.1588i	0.615059	+	1.01823i
$661$	10.0634			0.391421			0.195711	−	0.980662i	$-0.437299\pi$
$661$	10.0634			0.391421			0.195711	+	0.980662i	$0.437299\pi$
$662$	1.31815	−	12.3889i	0.0512313	−	0.481509i
$663$	2.14913	+	2.95803i	0.0834654	+	0.114880i
$664$	−0.0289785	+	7.55272i	−0.00112458	+	0.293102i
$665$	10.3999	+	32.0076i	0.403291	+	1.24120i
$666$	7.80478	−	4.49279i	0.302429	−	0.174092i
$667$	−36.8283	−	26.7574i	−1.42600	−	1.03605i
$668$	−9.89559	+	17.0389i	−0.382872	+	0.659254i
$669$	−0.855804	+	2.63389i	−0.0330873	+	0.101832i
$670$	44.2299	−	9.34224i	1.70875	−	0.360922i
$671$	5.06742	+	39.6643i	0.195626	+	1.53122i
$672$	15.9061	−	27.1478i	0.613592	−	1.04725i
$673$	−14.4204	−	4.68547i	−0.555866	−	0.180612i	0.0175945	−	0.999845i	$-0.494399\pi$
$673$	−14.4204	−	4.68547i	−0.555866	−	0.180612i	−0.573460	+	0.819234i	$0.694399\pi$
$674$	10.0946	−	11.1824i	0.388829	−	0.430729i
$675$	−24.0804	+	33.1438i	−0.926856	+	1.27571i
$676$	1.33446	+	1.48971i	0.0513252	+	0.0572965i
$677$	−47.9313	+	15.5738i	−1.84215	+	0.598550i	−0.844094	+	0.536195i	$0.819861\pi$
$677$	−47.9313	+	15.5738i	−1.84215	+	0.598550i	−0.998054	+	0.0623552i	$0.980139\pi$
$678$	5.87539	+	2.62490i	0.225643	+	0.100809i
$679$	29.7171	−	21.5907i	1.14044	−	0.828577i
$680$	8.42821	+	26.2821i	0.323207	+	1.00787i
$681$		−	29.6154i		−	1.13486i
$682$	5.96777	−	8.58881i	0.228518	−	0.328883i
$683$			33.6507i			1.28761i	0.765191	+	0.643804i	$0.222645\pi$
$683$			33.6507i			1.28761i	−0.765191	+	0.643804i	$0.777355\pi$
$684$	0.588998	+	5.74527i	0.0225209	+	0.219676i
$685$	−30.5165	+	22.1716i	−1.16598	+	0.847132i
$686$	9.57685	−	21.4361i	0.365646	−	0.818436i
$687$	1.09441	−	0.355597i	0.0417545	−	0.0135669i
$688$	−0.680525	−	0.307170i	−0.0259448	−	0.0117108i
$689$	−3.46928	+	4.77506i	−0.132169	+	0.181915i
$690$	23.8750	+	21.5525i	0.908905	+	0.820489i
$691$	15.6311	+	5.07884i	0.594634	+	0.193208i	0.590846	−	0.806785i	$-0.298794\pi$
$691$	15.6311	+	5.07884i	0.594634	+	0.193208i	0.00378823	+	0.999993i	$0.498794\pi$
$692$	−11.9875	−	27.1107i	−0.455695	−	1.03059i
$693$	7.63725	+	16.1709i	0.290115	+	0.614283i
$694$	−2.24019	−	10.6059i	−0.0850363	−	0.402595i
$695$	−2.07100	+	6.37390i	−0.0785577	+	0.241776i
$696$	−32.5513	−	10.7148i	−1.23386	−	0.406144i
$697$	26.0493	+	18.9259i	0.986687	+	0.716870i
$698$	7.01568	+	12.1875i	0.265547	+	0.461303i
$699$	2.88632	+	8.88317i	0.109171	+	0.335992i
$700$	−60.3905	−	12.9979i	−2.28255	−	0.491276i
$701$	16.1260	+	22.1955i	0.609070	+	0.838313i	0.996501	−	0.0835856i	$-0.0266372\pi$
$701$	16.1260	+	22.1955i	0.609070	+	0.838313i	−0.387430	+	0.921899i	$0.626637\pi$
$702$	−7.89646	−	0.840163i	−0.298033	−	0.0317099i
$703$	11.3344			0.427486
$704$	−19.4552	+	18.0415i	−0.733245	+	0.679965i
$705$	32.1199			1.20970
$706$	7.41985	+	0.789453i	0.279250	+	0.0297115i
$707$	−6.02602	−	8.29410i	−0.226632	−	0.311932i
$708$	−3.57511	−	0.769475i	−0.134361	−	0.0289186i
$709$	11.5677	+	35.6016i	0.434433	+	1.33705i	0.893667	+	0.448731i	$0.148124\pi$
$709$	11.5677	+	35.6016i	0.434433	+	1.33705i	−0.459234	+	0.888315i	$0.651876\pi$
$710$	−17.6265	−	30.6203i	−0.661510	−	1.14916i
$711$	−9.80949	−	7.12701i	−0.367884	−	0.267284i
$712$	7.98804	+	2.62940i	0.299365	+	0.0985409i
$713$	3.40143	−	10.4685i	0.127385	−	0.392050i
$714$	−4.52382	−	21.4176i	−0.169300	−	0.801532i
$715$	11.4270	+	2.16317i	0.427346	+	0.0808981i
$716$	−0.632240	−	1.42987i	−0.0236279	−	0.0534366i
$717$	−3.79696	−	1.23371i	−0.141800	−	0.0460736i
$718$	−34.5803	−	31.2164i	−1.29052	−	1.16499i
$719$	−10.5856	+	14.5698i	−0.394775	+	0.543362i	−0.959423	−	0.281970i	$-0.909012\pi$
$719$	−10.5856	+	14.5698i	−0.394775	+	0.543362i	0.564648	+	0.825332i	$0.309012\pi$
$720$	−16.2835	−	7.34994i	−0.606852	−	0.273916i
$721$	−52.0557	+	16.9139i	−1.93866	+	0.629907i
$722$	7.99539	−	17.8963i	0.297558	−	0.666032i
$723$	−8.78326	+	6.38141i	−0.326653	+	0.237327i
$724$	−1.82100	−	17.7626i	−0.0676768	−	0.660140i
$725$			67.2806i			2.49874i
$726$	3.01680	+	20.2153i	0.111964	+	0.750261i
$727$		−	37.2551i		−	1.38172i	−0.722990	−	0.690858i	$-0.757233\pi$
$727$		−	37.2551i		−	1.38172i	0.722990	−	0.690858i	$-0.242767\pi$
$728$	−3.65640	−	11.4019i	−0.135515	−	0.422583i
$729$	21.5707	−	15.6721i	0.798916	−	0.580447i
$730$	9.00645	+	4.02374i	0.333344	+	0.148925i
$731$	−0.494021	+	0.160517i	−0.0182720	+	0.00593694i
$732$	21.1387	+	23.5980i	0.781310	+	0.872209i
$733$	−9.17399	+	12.6269i	−0.338849	+	0.466386i	−0.944105	−	0.329645i	$-0.893071\pi$
$733$	−9.17399	+	12.6269i	−0.338849	+	0.466386i	0.605256	+	0.796031i	$0.293071\pi$
$734$	−15.8906	+	17.6030i	−0.586533	+	0.649738i
$735$	47.8552	+	15.5491i	1.76517	+	0.573537i
$736$	−14.1169	+	24.0940i	−0.520354	+	0.888115i
$737$	29.7063	+	5.62351i	1.09424	+	0.207144i
$738$	−20.3920	+	4.30720i	−0.750640	+	0.158550i
$739$	16.4477	−	50.6207i	0.605038	−	1.86211i	0.108506	−	0.994096i	$-0.465393\pi$
$739$	16.4477	−	50.6207i	0.605038	−	1.86211i	0.496532	−	0.868019i	$-0.334607\pi$
$740$	−17.6085	+	30.3194i	−0.647301	+	1.11456i
$741$	−2.40986	−	1.75086i	−0.0885283	−	0.0643196i
$742$	30.6249	−	17.6291i	1.12428	−	0.647185i
$743$	−7.44613	−	22.9168i	−0.273172	−	0.840738i	−0.989697	−	0.143176i	$-0.954268\pi$
$743$	−7.44613	−	22.9168i	−0.273172	−	0.840738i	0.716525	−	0.697561i	$-0.245732\pi$
$744$	0.0317930	−	8.28627i	0.00116559	−	0.303790i
$745$	−0.309542	−	0.426048i	−0.0113407	−	0.0156092i
$746$	0.342327	−	3.21744i	0.0125335	−	0.117799i
$747$	−3.40122			−0.124444
$748$	−1.56583	+	18.3928i	−0.0572523	+	0.672506i
$749$	−80.9622			−2.95829
$750$	1.58273	−	14.8756i	0.0577932	−	0.543182i
$751$	−10.1606	−	13.9848i	−0.370765	−	0.510314i	0.582344	−	0.812943i	$-0.302136\pi$
$751$	−10.1606	−	13.9848i	−0.370765	−	0.510314i	−0.953109	+	0.302629i	$0.902136\pi$
$752$	5.65834	+	27.3066i	0.206338	+	0.995767i
$753$	−3.06172	−	9.42301i	−0.111575	−	0.343394i
$754$	−11.3024	+	6.50621i	−0.411611	+	0.236942i
$755$	−48.9276	−	35.5480i	−1.78066	−	1.29372i
$756$	41.1119	+	23.8764i	1.49522	+	0.868375i
$757$	15.0149	−	46.2111i	0.545726	−	1.67957i	−0.173531	−	0.984828i	$-0.555518\pi$
$757$	15.0149	−	46.2111i	0.545726	−	1.67957i	0.719257	−	0.694744i	$-0.244482\pi$
$758$	−40.4932	+	8.55299i	−1.47078	+	0.310659i
$759$	9.18649	+	19.4513i	0.333449	+	0.706036i
$760$	−13.1468	−	18.2418i	−0.476885	−	0.661700i
$761$	32.7107	+	10.6284i	1.18576	+	0.385278i	0.834505	−	0.551001i	$-0.185754\pi$
$761$	32.7107	+	10.6284i	1.18576	+	0.385278i	0.351258	+	0.936279i	$0.385754\pi$
$762$	26.4561	−	29.3070i	0.958403	−	1.06168i
$763$	−11.7379	+	16.1558i	−0.424939	+	0.584879i
$764$	3.33249	−	2.98519i	0.120565	−	0.108000i
$765$	−11.8209	+	3.84084i	−0.427385	+	0.138866i
$766$	22.8365	+	10.2025i	0.825117	+	0.368631i
$767$	−1.12588	+	0.818003i	−0.0406533	+	0.0295364i
$768$	−4.58089	+	20.5169i	−0.165299	+	0.740340i
$769$			17.9173i			0.646116i	0.946379	+	0.323058i	$0.104711\pi$
$769$			17.9173i			0.646116i	−0.946379	+	0.323058i	$0.895289\pi$
$770$	−57.1796	−	39.7301i	−2.06061	−	1.43177i
$771$		−	18.4479i		−	0.664385i
$772$	−46.1951	+	4.73586i	−1.66260	+	0.170447i
$773$	41.7476	−	30.3314i	1.50156	−	1.09094i	0.531800	−	0.846870i	$-0.321516\pi$
$773$	41.7476	−	30.3314i	1.50156	−	1.09094i	0.969757	−	0.244074i	$-0.0784840\pi$
$774$	0.137150	−	0.306988i	0.00492977	−	0.0110344i
$775$	−15.4722	+	5.02721i	−0.555777	+	0.180583i
$776$	−14.5014	+	19.7992i	−0.520568	+	0.710750i
$777$	16.3450	−	22.4969i	0.586373	−	0.807074i
$778$	−15.5471	−	14.0347i	−0.557390	−	0.503168i
$779$	−24.9479	−	8.10606i	−0.893850	−	0.290430i
$780$	8.42734	−	3.72629i	0.301747	−	0.133423i
$781$	−2.99454	−	23.4392i	−0.107153	−	0.838722i
$782$	4.01494	+	19.0083i	0.143574	+	0.679736i
$783$	16.0011	−	49.2464i	0.571834	−	1.75992i
$784$	−4.78867	+	43.4231i	−0.171024	+	1.55082i
$785$	36.4451	+	26.4789i	1.30078	+	0.945072i
$786$	12.7326	+	22.1187i	0.454156	+	0.788949i
$787$	−2.25127	−	6.92870i	−0.0802492	−	0.246982i	0.902880	−	0.429892i	$-0.141448\pi$
$787$	−2.25127	−	6.92870i	−0.0802492	−	0.246982i	−0.983130	+	0.182910i	$0.941448\pi$
$788$	−10.9128	+	50.7025i	−0.388751	+	1.80620i
$789$	14.8673	+	20.4630i	0.529288	+	0.728503i
$790$	46.9427	+	4.99458i	1.67014	+	0.177699i
$791$	−14.6613			−0.521295
$792$	−8.15813	−	8.72996i	−0.289887	−	0.310206i
$793$	12.0564			0.428136
$794$	−2.26764	−	0.241271i	−0.0804754	−	0.00856238i
$795$	15.9837	+	21.9997i	0.566883	+	0.780248i
$796$	6.13386	−	28.4989i	0.217409	−	1.01012i
$797$	−12.8716	−	39.6147i	−0.455936	−	1.40323i	−0.870033	−	0.492993i	$-0.835903\pi$
$797$	−12.8716	−	39.6147i	−0.455936	−	1.40323i	0.414097	−	0.910233i	$-0.364097\pi$
$798$	8.89700	+	15.4557i	0.314950	+	0.547125i
$799$	15.6958	+	11.4036i	0.555276	+	0.403432i
$800$	41.0729	−	4.05156i	1.45215	−	0.143244i
$801$	−1.17028	+	3.60175i	−0.0413498	+	0.127262i
$802$	11.2565	+	53.2925i	0.397479	+	1.88182i
$803$	4.52297	+	4.80292i	0.159612	+	0.169491i
$804$	21.9082	−	9.68708i	0.772642	−	0.341637i
$805$	−69.6938	−	22.6449i	−2.45638	−	0.798127i
$806$	−2.34072	−	2.11302i	−0.0824483	−	0.0744279i
$807$	10.4699	−	14.4106i	0.368557	−	0.507276i
$808$	5.52600	+	4.04736i	0.194404	+	0.142385i
$809$	−7.22055	+	2.34610i	−0.253861	+	0.0824844i	−0.433183	−	0.901306i	$-0.642610\pi$
$809$	−7.22055	+	2.34610i	−0.253861	+	0.0824844i	0.179322	+	0.983790i	$0.442610\pi$
$810$	−7.19411	+	16.1028i	−0.252775	+	0.565794i
$811$	5.68750	−	4.13221i	0.199715	−	0.145102i	−0.483433	−	0.875381i	$-0.660610\pi$
$811$	5.68750	−	4.13221i	0.199715	−	0.145102i	0.683148	+	0.730280i	$0.260610\pi$
$812$	77.6702	−	7.96265i	2.72569	−	0.279434i
$813$			9.19849i			0.322605i
$814$	−18.6764	+	14.1799i	−0.654608	+	0.497005i
$815$			64.8294i			2.27088i
$816$	7.24776	+	12.7031i	0.253722	+	0.444698i
$817$	0.342362	−	0.248741i	0.0119777	−	0.00870233i
$818$	10.9326	+	4.88428i	0.382250	+	0.170775i
$819$	5.12823	−	1.66626i	0.179195	−	0.0582239i
$820$	60.4411	−	54.1421i	2.11069	−	1.89072i
$821$	23.7491	−	32.6878i	0.828848	−	1.14081i	−0.159289	−	0.987232i	$-0.550920\pi$
$821$	23.7491	−	32.6878i	0.828848	−	1.14081i	0.988136	−	0.153579i	$-0.0490799\pi$
$822$	−13.3935	+	14.8368i	−0.467152	+	0.517492i
$823$	−15.7591	−	5.12046i	−0.549329	−	0.178488i	0.0211851	−	0.999776i	$-0.493256\pi$
$823$	−15.7591	−	5.12046i	−0.549329	−	0.178488i	−0.570514	+	0.821288i	$0.693256\pi$
$824$	29.6676	−	21.3813i	1.03352	−	0.744854i
$825$	15.2774	−	27.8822i	0.531890	−	0.970734i
$826$	8.15195	−	1.72186i	0.283643	−	0.0599110i
$827$	−14.4879	+	44.5891i	−0.503793	+	1.55052i	0.298996	+	0.954254i	$0.403348\pi$
$827$	−14.4879	+	44.5891i	−0.503793	+	1.55052i	−0.802790	+	0.596262i	$0.796652\pi$
$828$	−10.8745	−	6.31553i	−0.377914	−	0.219480i
$829$	−16.5543	−	12.0274i	−0.574955	−	0.417729i	0.261947	−	0.965082i	$-0.415635\pi$
$829$	−16.5543	−	12.0274i	−0.574955	−	0.417729i	−0.836902	+	0.547353i	$0.815635\pi$
$830$	11.4765	−	6.60640i	0.398355	−	0.229311i
$831$	0.440232	+	1.35489i	0.0152715	+	0.0470008i
$832$	4.65248	+	6.50803i	0.161296	+	0.225625i
$833$	17.8646	+	24.5885i	0.618971	+	0.851941i
$834$	−0.375729	+	3.53137i	−0.0130104	+	0.122281i
$835$	34.5466			1.19553
$836$	−3.41718	−	14.6451i	−0.118186	−	0.506511i
$837$	12.5205			0.432773
$838$	−2.22025	+	20.8675i	−0.0766973	+	0.720856i
$839$	−3.14775	−	4.33251i	−0.108673	−	0.149575i	0.751217	−	0.660056i	$-0.229467\pi$
$839$	−3.14775	−	4.33251i	−0.108673	−	0.149575i	−0.859889	+	0.510481i	$0.829467\pi$
$840$	−55.1655	−	0.211660i	−1.90339	−	0.00730298i
$841$	−17.3167	−	53.2953i	−0.597128	−	1.83777i
$842$	6.29341	−	3.62278i	0.216885	−	0.124849i
$843$	−4.28702	−	3.11470i	−0.147653	−	0.107276i
$844$	−18.5071	+	31.8666i	−0.637039	+	1.09689i
$845$	1.08359	−	3.33494i	0.0372765	−	0.114725i
$846$	−12.2870	+	2.59527i	−0.422436	+	0.0892271i
$847$	−25.0624	−	39.2477i	−0.861156	−	1.34857i
$848$	−15.8872	+	17.4640i	−0.545568	+	0.599716i
$849$	12.2470	+	3.97929i	0.420315	+	0.136569i
$850$	19.2404	−	21.3138i	0.659940	−	0.731056i
$851$	−14.5064	+	19.9663i	−0.497272	+	0.684436i
$852$	−12.4917	−	13.9450i	−0.427960	−	0.477749i
$853$	32.9320	−	10.7003i	1.12757	−	0.366370i	0.314919	−	0.949119i	$-0.398023\pi$
$853$	32.9320	−	10.7003i	1.12757	−	0.366370i	0.812653	+	0.582748i	$0.198023\pi$
$854$	−65.9029	−	29.4429i	−2.25515	−	1.00752i
$855$	8.19200	−	5.95184i	0.280161	−	0.203549i
$856$	51.5090	−	16.5181i	1.76054	−	0.564576i
$857$		−	49.3639i		−	1.68624i	−0.537727	−	0.843119i	$-0.680717\pi$
$857$		−	49.3639i		−	1.68624i	0.537727	−	0.843119i	$-0.319283\pi$
$858$	6.16128	−	0.129842i	0.210343	−	0.00443273i
$859$			11.2947i			0.385369i	0.981261	+	0.192684i	$0.0617194\pi$
$859$			11.2947i			0.385369i	−0.981261	+	0.192684i	$0.938281\pi$
$860$	0.133504	+	1.30224i	0.00455245	+	0.0444060i
$861$	−52.0656	+	37.8279i	−1.77439	+	1.28917i
$862$	17.8582	−	39.9725i	0.608253	−	1.36147i
$863$	11.3878	−	3.70012i	0.387645	−	0.125953i	−0.108709	−	0.994074i	$-0.534672\pi$
$863$	11.3878	−	3.70012i	0.387645	−	0.125953i	0.496354	+	0.868120i	$0.334672\pi$
$864$	−31.0271	−	6.80268i	−1.05556	−	0.231432i
$865$	−30.5484	+	42.0462i	−1.03868	+	1.42961i
$866$	−30.6106	−	27.6329i	−1.04019	−	0.939005i
$867$	−11.5658	−	3.75795i	−0.392795	−	0.127627i
$868$	7.63465	+	17.2664i	0.259137	+	0.586061i
$869$	27.6887	+	15.1714i	0.939276	+	0.514653i
$870$	12.4170	+	58.7870i	0.420976	+	1.99307i
$871$	2.81695	−	8.66969i	0.0954488	−	0.293761i
$872$	4.17162	−	12.6733i	0.141269	−	0.429171i
$873$	−8.94111	−	6.49610i	−0.302611	−	0.219860i
$874$	−7.89618	−	13.7171i	−0.267092	−	0.463987i
$875$	10.5322	+	32.4148i	0.356054	+	1.09582i
$876$	5.11008	+	1.09985i	0.172653	+	0.0371605i
$877$	0.937432	+	1.29026i	0.0316548	+	0.0435691i	0.824551	−	0.565788i	$-0.191428\pi$
$877$	0.937432	+	1.29026i	0.0316548	+	0.0435691i	−0.792896	+	0.609357i	$0.791428\pi$
$878$	51.2764	+	5.45568i	1.73049	+	0.184120i
$879$	16.1121			0.543447
$880$	44.4841	+	13.6108i	1.49956	+	0.458821i
$881$	21.7191			0.731736			0.365868	−	0.930667i	$-0.380772\pi$
$881$	21.7191			0.731736			0.365868	+	0.930667i	$0.380772\pi$
$882$	−19.5627	−	2.08142i	−0.658711	−	0.0700852i
$883$	4.15865	+	5.72389i	0.139950	+	0.192624i	0.873239	−	0.487293i	$-0.162016\pi$
$883$	4.15865	+	5.72389i	0.139950	+	0.192624i	−0.733289	+	0.679917i	$0.762016\pi$
$884$	5.44108	+	1.17109i	0.183003	+	0.0393881i
$885$	1.98133	+	6.09789i	0.0666015	+	0.204978i
$886$	−7.57041	−	13.1511i	−0.254333	−	0.441821i
$887$	20.2415	+	14.7063i	0.679642	+	0.493789i	0.873239	−	0.487292i	$-0.162015\pi$
$887$	20.2415	+	14.7063i	0.679642	+	0.493789i	−0.193597	+	0.981081i	$0.562015\pi$
$888$	−5.80899	+	17.6475i	−0.194937	+	0.592213i
$889$	−27.7970	+	85.5504i	−0.932282	+	2.86927i
$890$	−3.04711	−	14.4262i	−0.102139	−	0.483568i
$891$	−8.58723	+	8.08669i	−0.287683	+	0.270914i
$892$	1.70481	+	3.85558i	0.0570812	+	0.129094i
$893$	−15.0321	−	4.88423i	−0.503031	−	0.163445i
$894$	−0.207140	−	0.186989i	−0.00692778	−	0.00625386i
$895$	−1.61117	+	2.21759i	−0.0538556	+	0.0741259i
$896$	−9.53819	−	46.9360i	−0.318649	−	1.56802i
$897$	6.16851	−	2.00427i	0.205961	−	0.0669206i
$898$	−8.97031	+	20.0785i	−0.299343	+	0.670028i
$899$	16.6351	−	12.0861i	0.554812	−	0.403095i
$900$	1.89548	+	18.4891i	0.0631828	+	0.616304i
$901$			16.4252i			0.547201i
$902$	51.2492	−	17.8541i	1.70641	−	0.594478i
$903$		−	1.03823i		−	0.0345502i
$904$	9.32766	−	2.99122i	0.310233	−	0.0994865i
$905$	−25.3271	+	18.4012i	−0.841901	+	0.611677i
$906$	−29.2596	−	13.0721i	−0.972084	−	0.434290i
$907$	−54.2259	+	17.6191i	−1.80054	+	0.585031i	−0.999900	−	0.0141140i	$-0.995507\pi$
$907$	−54.2259	+	17.6191i	−1.80054	+	0.585031i	−0.800640	+	0.599145i	$0.795507\pi$
$908$	−30.0791	−	33.5786i	−0.998210	−	1.11434i
$909$	−1.81307	+	2.49548i	−0.0601358	+	0.0827699i
$910$	−14.0673	+	15.5832i	−0.466327	+	0.516579i
$911$	50.7793	+	16.4992i	1.68239	+	0.546643i	0.985374	−	0.170408i	$-0.0545087\pi$
$911$	50.7793	+	16.4992i	1.68239	+	0.546643i	0.697020	+	0.717051i	$0.254509\pi$
$912$	−8.81366	−	8.01788i	−0.291850	−	0.265498i
$913$	8.78501	−	1.12235i	0.290741	−	0.0371445i
$914$	−14.4323	+	3.04839i	−0.477378	+	0.100832i
$915$	17.1648	−	52.8278i	0.567451	−	1.74643i
$916$	0.879706	−	1.51474i	0.0290663	−	0.0500483i
$917$	−47.0419	−	34.1779i	−1.55346	−	1.12865i
$918$	−19.1521	+	11.0248i	−0.632113	+	0.363874i
$919$	−3.51473	−	10.8172i	−0.115940	−	0.356827i	0.876202	−	0.481944i	$-0.160069\pi$
$919$	−3.51473	−	10.8172i	−0.115940	−	0.356827i	−0.992142	+	0.125117i	$0.960069\pi$
$920$	48.9600	+	0.187851i	1.61416	+	0.00619326i
$921$	−18.8666	−	25.9677i	−0.621677	−	0.855664i
$922$	−0.508548	+	4.77970i	−0.0167481	+	0.157411i
$923$	−7.12464			−0.234510
$924$	−33.9959	−	14.3367i	−1.11838	−	0.471642i
$925$	36.4758			1.19932
$926$	−3.27669	+	30.7967i	−0.107679	+	1.01204i
$927$	9.67978	+	13.3231i	0.317926	+	0.437587i
$928$	−47.7901	+	20.9124i	−1.56879	+	0.686482i
$929$	4.16524	+	12.8193i	0.136657	+	0.420587i	0.995844	−	0.0910746i	$-0.0290302\pi$
$929$	4.16524	+	12.8193i	0.136657	+	0.420587i	−0.859187	+	0.511662i	$0.829030\pi$
$930$	−12.5911	+	7.24804i	−0.412880	+	0.237673i
$931$	−20.0318	−	14.5540i	−0.656517	−	0.476988i
$932$	12.2948	+	7.14043i	0.402731	+	0.233892i
$933$	−7.67076	+	23.6082i	−0.251130	+	0.772897i
$934$	13.5675	−	2.86573i	0.443942	−	0.0937696i
$935$	29.2647	−	13.8212i	0.957059	−	0.452002i
$936$	−2.92268	+	2.10637i	−0.0955308	+	0.0688488i
$937$	−1.90739	−	0.619747i	−0.0623116	−	0.0202463i	0.277695	−	0.960669i	$-0.410429\pi$
$937$	−1.90739	−	0.619747i	−0.0623116	−	0.0202463i	−0.340007	+	0.940423i	$0.610429\pi$
$938$	−36.5702	+	40.5110i	−1.19406	+	1.32273i
$939$	−20.5265	+	28.2523i	−0.669857	+	0.921979i
$940$	36.4182	−	32.6228i	1.18783	−	1.06404i
$941$	0.436285	−	0.141758i	0.0142225	−	0.00462117i	−0.301897	−	0.953341i	$-0.597620\pi$
$941$	0.436285	−	0.141758i	0.0142225	−	0.00462117i	0.316120	+	0.948719i	$0.397620\pi$
$942$	21.7948	+	9.73709i	0.710113	+	0.317251i
$943$	46.2088	−	33.5727i	1.50477	−	1.09328i
$944$	−4.83506	+	2.75864i	−0.157368	+	0.0897861i
$945$		−	83.3550i		−	2.71154i
$946$	−0.252944	+	0.838176i	−0.00822392	+	0.0272514i
$947$		−	18.5086i		−	0.601450i	−0.953711	−	0.300725i	$-0.902771\pi$
$947$		−	18.5086i		−	0.601450i	0.953711	−	0.300725i	$-0.0972286\pi$
$948$	24.8846	−	2.55114i	0.808215	−	0.0828572i
$949$	1.60928	−	1.16921i	0.0522395	−	0.0379542i
$950$	−9.54190	+	21.3579i	−0.309580	+	0.692942i
$951$	−22.0664	+	7.16980i	−0.715551	+	0.232497i
$952$	−26.8821	−	19.6891i	−0.871255	−	0.638126i
$953$	−11.0327	+	15.1852i	−0.357384	+	0.491897i	−0.949418	−	0.314016i	$-0.898325\pi$
$953$	−11.0327	+	15.1852i	−0.357384	+	0.491897i	0.592033	+	0.805914i	$0.298325\pi$
$954$	−7.89190	−	7.12420i	−0.255510	−	0.230654i
$955$	−7.46029	−	2.42399i	−0.241409	−	0.0784386i
$956$	−5.55811	+	2.45761i	−0.179762	+	0.0794849i
$957$	−7.47433	+	39.4833i	−0.241611	+	1.27631i
$958$	7.13077	+	33.7599i	0.230385	+	1.09073i
$959$	14.0723	−	43.3102i	0.454420	−	1.39856i
$960$	35.1401	−	11.1203i	1.13414	−	0.358907i
$961$	−21.0572	−	15.2989i	−0.679264	−	0.493514i
$962$	3.52731	+	6.12756i	0.113725	+	0.197561i
$963$	7.52748	+	23.1672i	0.242570	+	0.746553i
$964$	−3.47732	+	16.1562i	−0.111997	+	0.520356i
$965$	47.8560	+	65.8681i	1.54054	+	2.12037i
$966$	−38.6129	−	4.10832i	−1.24235	−	0.132183i
$967$	−47.2056			−1.51803			−0.759015	−	0.651074i	$-0.774319\pi$
$967$	−47.2056			−1.51803			−0.759015	+	0.651074i	$0.774319\pi$
$968$	23.9524	+	19.8566i	0.769859	+	0.638214i
$969$	−8.28939			−0.266293
$970$	42.7871	+	4.55244i	1.37381	+	0.146170i
$971$	−19.9318	−	27.4338i	−0.639643	−	0.880393i	0.358954	−	0.933355i	$-0.383134\pi$
$971$	−19.9318	−	27.4338i	−0.639643	−	0.880393i	−0.998597	+	0.0529625i	$0.983134\pi$
$972$	5.12257	−	23.8003i	0.164307	−	0.763395i
$973$	−2.50027	−	7.69505i	−0.0801551	−	0.246692i
$974$	2.14114	+	3.71955i	0.0686066	+	0.119182i
$975$	−7.75527	−	5.63454i	−0.248368	−	0.180450i
$976$	47.9351	+	5.28625i	1.53437	+	0.169209i
$977$	−17.2088	+	52.9632i	−0.550558	+	1.69444i	0.156838	+	0.987624i	$0.449870\pi$
$977$	−17.2088	+	52.9632i	−0.550558	+	1.69444i	−0.707396	+	0.706818i	$0.750130\pi$
$978$	7.09936	+	33.6112i	0.227013	+	1.07477i
$979$	1.83419	−	9.68913i	0.0586209	−	0.309666i
$980$	70.0519	−	30.9747i	2.23773	−	0.989449i
$981$	5.71428	+	1.85668i	0.182443	+	0.0592793i
$982$	−14.3243	−	12.9309i	−0.457107	−	0.412641i
$983$	2.85121	−	3.92435i	0.0909394	−	0.125167i	−0.761123	−	0.648608i	$-0.775352\pi$
$983$	2.85121	−	3.92435i	0.0909394	−	0.125167i	0.852062	+	0.523440i	$0.175352\pi$
$984$	25.4070	−	34.6891i	0.809946	−	1.10585i
$985$	86.4809	−	28.0994i	2.75551	−	0.895320i
$986$	−14.8037	+	33.1354i	−0.471444	+	1.05525i
$987$	−31.3717	+	22.7929i	−0.998572	+	0.725505i
$988$	−4.51063	+	0.462425i	−0.143502	+	0.0147117i
$989$			0.921442i			0.0293002i
$990$	−6.05242	+	20.0558i	−0.192359	+	0.637414i
$991$			29.9173i			0.950355i	0.879890	+	0.475178i	$0.157616\pi$
$991$			29.9173i			0.950355i	−0.879890	+	0.475178i	$0.842384\pi$
$992$	−8.37998	−	9.42746i	−0.266065	−	0.299322i
$993$	−9.36432	+	6.80357i	−0.297168	+	0.215905i
$994$	38.9447	+	17.3990i	1.23525	+	0.551863i
$995$	−48.6093	+	15.7941i	−1.54102	+	0.500707i
$996$	5.22659	−	4.68189i	0.165611	−	0.148351i
$997$	35.8426	−	49.3331i	1.13515	−	1.56240i	0.357245	−	0.934011i	$-0.383716\pi$
$997$	35.8426	−	49.3331i	1.13515	−	1.56240i	0.777902	−	0.628385i	$-0.216284\pi$
$998$	−5.38508	+	5.96538i	−0.170462	+	0.188831i
$999$	−26.6987	−	8.67493i	−0.844709	−	0.274463i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.y.a.79.2	✓	288
4.3	odd	2	inner	572.2.y.a.79.11	yes	288
11.6	odd	10	inner	572.2.y.a.391.11	yes	288
44.39	even	10	inner	572.2.y.a.391.2	yes	288

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.y.a.79.2	✓	288	1.1	even	1	trivial
572.2.y.a.79.11	yes	288	4.3	odd	2	inner
572.2.y.a.391.2	yes	288	44.39	even	10	inner
572.2.y.a.391.11	yes	288	11.6	odd	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	572.y (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.40628 - 0.149624i) q^{2} +(0.772280 + 1.06295i) q^{3} +(1.95523 + 0.420826i) q^{4} +(-1.08359 - 3.33494i) q^{5} +(-0.926995 - 1.61036i) q^{6} +(3.42488 + 2.48832i) q^{7} +(-2.68662 - 0.884347i) q^{8} +(0.393600 - 1.21138i) q^{9} +O(q^{10})\)	\(q+(-1.40628 - 0.149624i) q^{2} +(0.772280 + 1.06295i) q^{3} +(1.95523 + 0.420826i) q^{4} +(-1.08359 - 3.33494i) q^{5} +(-0.926995 - 1.61036i) q^{6} +(3.42488 + 2.48832i) q^{7} +(-2.68662 - 0.884347i) q^{8} +(0.393600 - 1.21138i) q^{9} +(1.02484 + 4.85198i) q^{10} +(-0.616893 + 3.25875i) q^{11} +(1.06266 + 2.40331i) q^{12} +(0.951057 + 0.309017i) q^{13} +(-4.44402 - 4.01172i) q^{14} +(2.70805 - 3.72731i) q^{15} +(3.64581 + 1.64562i) q^{16} +(2.64664 - 0.859946i) q^{17} +(-0.734762 + 1.64464i) q^{18} +(-1.83415 + 1.33259i) q^{19} +(-0.715228 - 6.97656i) q^{20} +5.56217i q^{21} +(1.35511 - 4.49040i) q^{22} -4.93649i q^{23} +(-1.13480 - 3.53871i) q^{24} +(-5.90257 + 4.28847i) q^{25} +(-1.29121 - 0.576864i) q^{26} +(5.34033 - 1.73518i) q^{27} +(5.64927 + 6.30651i) q^{28} +(5.42032 - 7.46044i) q^{29} +(-4.36596 + 4.83643i) q^{30} +(2.12064 + 0.689039i) q^{31} +(-4.88079 - 2.85970i) q^{32} +(-3.94031 + 1.86094i) q^{33} +(-3.85058 + 0.813320i) q^{34} +(4.58725 - 14.1181i) q^{35} +(1.27936 - 2.20288i) q^{36} +(-4.04464 - 2.93860i) q^{37} +(2.77871 - 1.59956i) q^{38} +(0.406011 + 1.24957i) q^{39} +(-0.0380536 + 9.91798i) q^{40} +(6.80093 + 9.36067i) q^{41} +(0.832235 - 7.82194i) q^{42} -0.186660 q^{43} +(-2.57753 + 6.11198i) q^{44} -4.46637 q^{45} +(-0.738618 + 6.94206i) q^{46} +(4.09784 + 5.64019i) q^{47} +(1.06637 + 5.14620i) q^{48} +(3.37495 + 10.3870i) q^{49} +(8.94230 - 5.14760i) q^{50} +(2.95803 + 2.14913i) q^{51} +(1.72949 + 1.00443i) q^{52} +(-1.82391 + 5.61342i) q^{53} +(-7.76960 + 1.64110i) q^{54} +(11.5362 - 1.47384i) q^{55} +(-7.00082 - 9.71397i) q^{56} +(-2.83296 - 0.920484i) q^{57} +(-8.73873 + 9.68042i) q^{58} +(-0.818003 + 1.12588i) q^{59} +(6.86339 - 6.14811i) q^{60} +(11.4663 - 3.72564i) q^{61} +(-2.87911 - 1.28628i) q^{62} +(4.36233 - 3.16942i) q^{63} +(6.43586 + 4.75181i) q^{64} -3.50656i q^{65} +(5.81960 - 2.02743i) q^{66} -9.11585i q^{67} +(5.53667 - 0.567612i) q^{68} +(5.24725 - 3.81235i) q^{69} +(-8.56334 + 19.1676i) q^{70} +(-6.77593 + 2.20163i) q^{71} +(-2.12873 + 2.90643i) q^{72} +(1.16921 - 1.60928i) q^{73} +(5.24819 + 4.73766i) q^{74} +(-9.11687 - 2.96225i) q^{75} +(-4.14697 + 1.83365i) q^{76} +(-10.2216 + 9.62580i) q^{77} +(-0.383998 - 1.81800i) q^{78} +(2.94170 - 9.05361i) q^{79} +(1.53748 - 13.9417i) q^{80} +(2.87726 + 2.09045i) q^{81} +(-8.16340 - 14.1813i) q^{82} +(-0.825171 - 2.53962i) q^{83} +(-2.34070 + 10.8753i) q^{84} +(-5.73573 - 7.89456i) q^{85} +(0.262495 + 0.0279288i) q^{86} +12.1161 q^{87} +(4.53922 - 8.20947i) q^{88} -2.97327 q^{89} +(6.28095 + 0.668277i) q^{90} +(2.48832 + 3.42488i) q^{91} +(2.07740 - 9.65194i) q^{92} +(0.905315 + 2.78627i) q^{93} +(-4.91878 - 8.54480i) q^{94} +(6.43157 + 4.67281i) q^{95} +(-0.729617 - 7.39653i) q^{96} +(2.68129 - 8.25215i) q^{97} +(-3.19196 - 15.1120i) q^{98} +(3.70476 + 2.02993i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 288 q - 4 q^{4} + 80 q^{9}+O(q^{10}) \) 288 * q - 4 * q^4 + 80 * q^9	\( 288 q - 4 q^{4} + 80 q^{9} + 8 q^{12} - 6 q^{14} - 32 q^{16} - 50 q^{18} + 16 q^{22} - 88 q^{25} - 50 q^{28} - 20 q^{30} - 4 q^{33} + 30 q^{36} - 48 q^{37} + 38 q^{38} + 70 q^{40} + 56 q^{42} + 66 q^{44} - 96 q^{45} + 70 q^{46} + 76 q^{48} - 56 q^{49} + 70 q^{50} - 20 q^{52} - 80 q^{53} + 44 q^{56} - 20 q^{57} - 2 q^{58} - 144 q^{60} - 150 q^{62} - 100 q^{64} + 30 q^{66} + 24 q^{69} - 28 q^{70} - 100 q^{72} + 40 q^{73} - 140 q^{74} - 24 q^{77} - 40 q^{78} + 118 q^{80} - 76 q^{81} + 56 q^{82} + 120 q^{84} + 80 q^{85} + 44 q^{88} - 8 q^{89} + 80 q^{90} - 14 q^{92} + 72 q^{93} + 50 q^{94} - 140 q^{96} + 116 q^{97}+O(q^{100}) \) 288 * q - 4 * q^4 + 80 * q^9 + 8 * q^12 - 6 * q^14 - 32 * q^16 - 50 * q^18 + 16 * q^22 - 88 * q^25 - 50 * q^28 - 20 * q^30 - 4 * q^33 + 30 * q^36 - 48 * q^37 + 38 * q^38 + 70 * q^40 + 56 * q^42 + 66 * q^44 - 96 * q^45 + 70 * q^46 + 76 * q^48 - 56 * q^49 + 70 * q^50 - 20 * q^52 - 80 * q^53 + 44 * q^56 - 20 * q^57 - 2 * q^58 - 144 * q^60 - 150 * q^62 - 100 * q^64 + 30 * q^66 + 24 * q^69 - 28 * q^70 - 100 * q^72 + 40 * q^73 - 140 * q^74 - 24 * q^77 - 40 * q^78 + 118 * q^80 - 76 * q^81 + 56 * q^82 + 120 * q^84 + 80 * q^85 + 44 * q^88 - 8 * q^89 + 80 * q^90 - 14 * q^92 + 72 * q^93 + 50 * q^94 - 140 * q^96 + 116 * q^97

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