LMFDB - Embedded newform 360.2.bd.b.59.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(59,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 5, 3]))

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

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

chi := DirichletCharacter("360.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.bd (of order $6$, degree $2$, 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:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$64$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			59.1
Character	$\chi$	$=$	360.59
Dual form			360.2.bd.b.299.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41125 + 0.0914777i) q^{2} +(1.32971 + 1.10989i) q^{3} +(1.98326 - 0.258196i) q^{4} +(-1.67067 + 1.48622i) q^{5} +(-1.97809 - 1.44470i) q^{6} +(-2.22153 - 3.84780i) q^{7} +(-2.77527 + 0.545804i) q^{8} +(0.536278 + 2.95168i) q^{9} +O(q^{10})$	\(q+(-1.41125 + 0.0914777i) q^{2} +(1.32971 + 1.10989i) q^{3} +(1.98326 - 0.258196i) q^{4} +(-1.67067 + 1.48622i) q^{5} +(-1.97809 - 1.44470i) q^{6} +(-2.22153 - 3.84780i) q^{7} +(-2.77527 + 0.545804i) q^{8} +(0.536278 + 2.95168i) q^{9} +(2.22179 - 2.25026i) q^{10} +(-2.97913 + 1.72000i) q^{11} +(2.92374 + 1.85788i) q^{12} +(-3.22299 + 5.58238i) q^{13} +(3.48712 + 5.22700i) q^{14} +(-3.87106 + 0.121977i) q^{15} +(3.86667 - 1.02414i) q^{16} -2.90120 q^{17} +(-1.02684 - 4.11650i) q^{18} -1.72505 q^{19} +(-2.92965 + 3.37893i) q^{20} +(1.31665 - 7.58213i) q^{21} +(4.04696 - 2.69988i) q^{22} +(4.32408 + 2.49651i) q^{23} +(-4.29609 - 2.35448i) q^{24} +(0.582306 - 4.96598i) q^{25} +(4.03778 - 8.17297i) q^{26} +(-2.56295 + 4.52010i) q^{27} +(-5.39936 - 7.05761i) q^{28} +(0.523887 + 0.907399i) q^{29} +(5.45189 - 0.526256i) q^{30} +(1.88690 + 1.08940i) q^{31} +(-5.36316 + 1.79904i) q^{32} +(-5.87041 - 1.01940i) q^{33} +(4.09433 - 0.265395i) q^{34} +(9.43013 + 3.12674i) q^{35} +(1.82569 + 5.71549i) q^{36} -3.02322 q^{37} +(2.43448 - 0.157804i) q^{38} +(-10.4815 + 3.84579i) q^{39} +(3.82538 - 5.03651i) q^{40} +(-1.94134 - 1.12084i) q^{41} +(-1.16453 + 10.8207i) q^{42} +(2.07856 - 1.20006i) q^{43} +(-5.46430 + 4.18042i) q^{44} +(-5.28279 - 4.13427i) q^{45} +(-6.33074 - 3.12764i) q^{46} +(-0.453489 + 0.261822i) q^{47} +(6.27825 + 2.92977i) q^{48} +(-6.37038 + 11.0338i) q^{49} +(-0.367505 + 7.06151i) q^{50} +(-3.85777 - 3.22002i) q^{51} +(-4.95068 + 11.9035i) q^{52} -1.38655i q^{53} +(3.20348 - 6.61345i) q^{54} +(2.42086 - 7.30120i) q^{55} +(8.26548 + 9.46615i) q^{56} +(-2.29382 - 1.91462i) q^{57} +(-0.822344 - 1.23265i) q^{58} +(-5.53954 - 3.19826i) q^{59} +(-7.64584 + 1.24141i) q^{60} +(3.04912 - 1.76041i) q^{61} +(-2.76254 - 1.36481i) q^{62} +(10.1661 - 8.62073i) q^{63} +(7.40420 - 3.02950i) q^{64} +(-2.91207 - 14.1164i) q^{65} +(8.37788 + 0.901625i) q^{66} +(12.5787 + 7.26229i) q^{67} +(-5.75385 + 0.749079i) q^{68} +(2.97893 + 8.11890i) q^{69} +(-13.5943 - 3.54998i) q^{70} -0.671509 q^{71} +(-3.09935 - 7.89899i) q^{72} +11.5525i q^{73} +(4.26653 - 0.276557i) q^{74} +(6.28600 - 5.95703i) q^{75} +(-3.42123 + 0.445401i) q^{76} +(13.2364 + 7.64207i) q^{77} +(14.4402 - 6.38621i) q^{78} +(9.41493 - 5.43572i) q^{79} +(-4.93785 + 7.45773i) q^{80} +(-8.42481 + 3.16584i) q^{81} +(2.84226 + 1.40419i) q^{82} +(-0.978245 - 1.69437i) q^{83} +(0.653582 - 15.3773i) q^{84} +(4.84696 - 4.31182i) q^{85} +(-2.82360 + 1.88373i) q^{86} +(-0.310496 + 1.78804i) q^{87} +(7.32909 - 6.39948i) q^{88} -2.43279i q^{89} +(7.83353 + 5.35124i) q^{90} +28.6398 q^{91} +(9.22038 + 3.83477i) q^{92} +(1.29992 + 3.54284i) q^{93} +(0.616037 - 0.410981i) q^{94} +(2.88200 - 2.56380i) q^{95} +(-9.12820 - 3.56033i) q^{96} +(-9.65294 + 5.57313i) q^{97} +(7.98086 - 16.1542i) q^{98} +(-6.67453 - 7.87104i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 10 q^{4} + 4 q^{9}+O(q^{10}) $ 128 * q - 10 * q^4 + 4 * q^9	$ 128 q - 10 q^{4} + 4 q^{9} - 48 q^{11} - 30 q^{14} + 14 q^{16} + 24 q^{19} - 24 q^{20} - 10 q^{24} + 14 q^{25} + 26 q^{30} + 8 q^{36} + 12 q^{40} - 24 q^{41} - 36 q^{46} - 52 q^{49} - 42 q^{50} - 68 q^{51} - 62 q^{54} - 54 q^{56} - 24 q^{60} + 68 q^{64} - 18 q^{65} + 44 q^{66} - 60 q^{74} + 10 q^{75} + 24 q^{76} + 36 q^{81} + 94 q^{84} - 74 q^{90} + 88 q^{91} - 26 q^{94} - 22 q^{96} - 76 q^{99}+O(q^{100}) $ 128 * q - 10 * q^4 + 4 * q^9 - 48 * q^11 - 30 * q^14 + 14 * q^16 + 24 * q^19 - 24 * q^20 - 10 * q^24 + 14 * q^25 + 26 * q^30 + 8 * q^36 + 12 * q^40 - 24 * q^41 - 36 * q^46 - 52 * q^49 - 42 * q^50 - 68 * q^51 - 62 * q^54 - 54 * q^56 - 24 * q^60 + 68 * q^64 - 18 * q^65 + 44 * q^66 - 60 * q^74 + 10 * q^75 + 24 * q^76 + 36 * q^81 + 94 * q^84 - 74 * q^90 + 88 * q^91 - 26 * q^94 - 22 * q^96 - 76 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−1.41125	+	0.0914777i	−0.997906	+	0.0646845i
$2$	−1.41125	+	0.0914777i	−0.997906	+	0.0646845i
$3$	1.32971	+	1.10989i	0.767711	+	0.640797i
$3$	1.32971	+	1.10989i	0.767711	+	0.640797i
$4$	1.98326	−	0.258196i	0.991632	−	0.129098i
$5$	−1.67067	+	1.48622i	−0.747148	+	0.664657i
$5$	−1.67067	+	1.48622i	−0.747148	+	0.664657i
$6$	−1.97809	−	1.44470i	−0.807552	−	0.589796i
$7$	−2.22153	−	3.84780i	−0.839659	−	1.45433i	−0.890180	−	0.455609i	$-0.849422\pi$
$7$	−2.22153	−	3.84780i	−0.839659	−	1.45433i	0.0505211	−	0.998723i	$-0.483912\pi$
$8$	−2.77527	+	0.545804i	−0.981204	+	0.192971i
$9$	0.536278	+	2.95168i	0.178759	+	0.983893i
$10$	2.22179	−	2.25026i	0.702591	−	0.711594i
$11$	−2.97913	+	1.72000i	−0.898242	+	0.518600i	−0.876629	−	0.481166i	$-0.840213\pi$
$11$	−2.97913	+	1.72000i	−0.898242	+	0.518600i	−0.0216123	+	0.999766i	$0.506880\pi$
$12$	2.92374	+	1.85788i	0.844012	+	0.536324i
$13$	−3.22299	+	5.58238i	−0.893896	+	1.54827i	−0.0587299	+	0.998274i	$0.518705\pi$
$13$	−3.22299	+	5.58238i	−0.893896	+	1.54827i	−0.835166	+	0.549999i	$0.814628\pi$
$14$	3.48712	+	5.22700i	0.931973	+	1.39697i
$15$	−3.87106	+	0.121977i	−0.999504	+	0.0314943i
$16$	3.86667	−	1.02414i	0.966667	−	0.256036i
$17$	−2.90120			−0.703645			−0.351822	−	0.936067i	$-0.614438\pi$
$17$	−2.90120			−0.703645			−0.351822	+	0.936067i	$0.614438\pi$
$18$	−1.02684	−	4.11650i	−0.242027	−	0.970269i
$19$	−1.72505			−0.395754			−0.197877	−	0.980227i	$-0.563405\pi$
$19$	−1.72505			−0.395754			−0.197877	+	0.980227i	$0.563405\pi$
$20$	−2.92965	+	3.37893i	−0.655090	+	0.755551i
$21$	1.31665	−	7.58213i	0.287316	−	1.65456i
$22$	4.04696	−	2.69988i	0.862815	−	0.575616i
$23$	4.32408	+	2.49651i	0.901633	+	0.520558i	0.877730	−	0.479156i	$-0.159057\pi$
$23$	4.32408	+	2.49651i	0.901633	+	0.520558i	0.0239032	+	0.999714i	$0.492391\pi$
$24$	−4.29609	−	2.35448i	−0.876936	−	0.480607i
$25$	0.582306	−	4.96598i	0.116461	−	0.993195i
$26$	4.03778	−	8.17297i	0.791874	−	1.60285i
$27$	−2.56295	+	4.52010i	−0.493240	+	0.869893i
$28$	−5.39936	−	7.05761i	−1.02038	−	1.33376i
$29$	0.523887	+	0.907399i	0.0972834	+	0.168500i	0.910559	−	0.413378i	$-0.135651\pi$
$29$	0.523887	+	0.907399i	0.0972834	+	0.168500i	−0.813276	+	0.581878i	$0.802318\pi$
$30$	5.45189	−	0.526256i	0.995374	−	0.0960808i
$31$	1.88690	+	1.08940i	0.338897	+	0.195662i	0.659784	−	0.751455i	$-0.270648\pi$
$31$	1.88690	+	1.08940i	0.338897	+	0.195662i	−0.320887	+	0.947117i	$0.603981\pi$
$32$	−5.36316	+	1.79904i	−0.948081	+	0.318028i
$33$	−5.87041	−	1.01940i	−1.02191	−	0.177455i
$34$	4.09433	−	0.265395i	0.702171	−	0.0455149i
$35$	9.43013	+	3.12674i	1.59398	+	0.528516i
$36$	1.82569	+	5.71549i	0.304282	+	0.952582i
$37$	−3.02322			−0.497015			−0.248507	−	0.968630i	$-0.579940\pi$
$37$	−3.02322			−0.497015			−0.248507	+	0.968630i	$0.579940\pi$
$38$	2.43448	−	0.157804i	0.394925	−	0.0255991i
$39$	−10.4815	+	3.84579i	−1.67838	+	0.615820i
$40$	3.82538	−	5.03651i	0.604846	−	0.796343i
$41$	−1.94134	−	1.12084i	−0.303187	−	0.175045i	0.340687	−	0.940177i	$-0.389340\pi$
$41$	−1.94134	−	1.12084i	−0.303187	−	0.175045i	−0.643874	+	0.765132i	$0.722674\pi$
$42$	−1.16453	+	10.8207i	−0.179690	+	1.66968i
$43$	2.07856	−	1.20006i	0.316978	−	0.183007i	−0.333067	−	0.942903i	$-0.608084\pi$
$43$	2.07856	−	1.20006i	0.316978	−	0.183007i	0.650045	+	0.759896i	$0.274750\pi$
$44$	−5.46430	+	4.18042i	−0.823775	+	0.630222i
$45$	−5.28279	−	4.13427i	−0.787511	−	0.616300i
$46$	−6.33074	−	3.12764i	−0.933417	−	0.461146i
$47$	−0.453489	+	0.261822i	−0.0661482	+	0.0381907i	−0.532709	−	0.846298i	$-0.678826\pi$
$47$	−0.453489	+	0.261822i	−0.0661482	+	0.0381907i	0.466561	+	0.884489i	$0.345493\pi$
$48$	6.27825	+	2.92977i	0.906188	+	0.422876i
$49$	−6.37038	+	11.0338i	−0.910054	+	1.57626i
$50$	−0.367505	+	7.06151i	−0.0519731	+	0.998648i
$51$	−3.85777	−	3.22002i	−0.540196	−	0.450893i
$52$	−4.95068	+	11.9035i	−0.686536	+	1.65072i
$53$		−	1.38655i		−	0.190458i	−0.995455	−	0.0952288i	$-0.969642\pi$
$53$		−	1.38655i		−	0.190458i	0.995455	−	0.0952288i	$-0.0303583\pi$
$54$	3.20348	−	6.61345i	0.435938	−	0.899977i
$55$	2.42086	−	7.30120i	0.326428	−	0.984494i
$56$	8.26548	+	9.46615i	1.10452	+	1.26497i
$57$	−2.29382	−	1.91462i	−0.303824	−	0.253598i
$58$	−0.822344	−	1.23265i	−0.107979	−	0.161854i
$59$	−5.53954	−	3.19826i	−0.721187	−	0.416377i	0.0940025	−	0.995572i	$-0.470034\pi$
$59$	−5.53954	−	3.19826i	−0.721187	−	0.416377i	−0.815189	+	0.579195i	$0.803367\pi$
$60$	−7.64584	+	1.24141i	−0.987074	+	0.160265i
$61$	3.04912	−	1.76041i	0.390400	−	0.225398i	−0.291933	−	0.956439i	$-0.594299\pi$
$61$	3.04912	−	1.76041i	0.390400	−	0.225398i	0.682333	+	0.731041i	$0.260965\pi$
$62$	−2.76254	−	1.36481i	−0.350843	−	0.173331i
$63$	10.1661	−	8.62073i	1.28081	−	1.08611i
$64$	7.40420	−	3.02950i	0.925524	−	0.378688i
$65$	−2.91207	−	14.1164i	−0.361198	−	1.75092i
$66$	8.37788	+	0.901625i	1.03125	+	0.110982i
$67$	12.5787	+	7.26229i	1.53673	+	0.887230i	0.999027	+	0.0440942i	$0.0140402\pi$
$67$	12.5787	+	7.26229i	1.53673	+	0.887230i	0.537700	+	0.843136i	$0.319293\pi$
$68$	−5.75385	+	0.749079i	−0.697757	+	0.0908392i
$69$	2.97893	+	8.11890i	0.358621	+	0.977401i
$70$	−13.5943	−	3.54998i	−1.62483	−	0.424303i
$71$	−0.671509			−0.0796934			−0.0398467	−	0.999206i	$-0.512687\pi$
$71$	−0.671509			−0.0796934			−0.0398467	+	0.999206i	$0.512687\pi$
$72$	−3.09935	−	7.89899i	−0.365262	−	0.930905i
$73$			11.5525i			1.35212i	0.736848	+	0.676058i	$0.236313\pi$
$73$			11.5525i			1.35212i	−0.736848	+	0.676058i	$0.763687\pi$
$74$	4.26653	−	0.276557i	0.495974	−	0.0321491i
$75$	6.28600	−	5.95703i	0.725845	−	0.687859i
$76$	−3.42123	+	0.445401i	−0.392442	+	0.0510911i
$77$	13.2364	+	7.64207i	1.50843	+	0.870894i
$78$	14.4402	−	6.38621i	1.63503	−	0.723095i
$79$	9.41493	−	5.43572i	1.05926	−	0.611566i	0.134035	−	0.990977i	$-0.457207\pi$
$79$	9.41493	−	5.43572i	1.05926	−	0.611566i	0.925228	+	0.379411i	$0.123873\pi$
$80$	−4.93785	+	7.45773i	−0.552068	+	0.833799i
$81$	−8.42481	+	3.16584i	−0.936090	+	0.351760i
$82$	2.84226	+	1.40419i	0.313875	+	0.155067i
$83$	−0.978245	−	1.69437i	−0.107376	−	0.185981i	0.807330	−	0.590100i	$-0.200912\pi$
$83$	−0.978245	−	1.69437i	−0.107376	−	0.185981i	−0.914707	+	0.404119i	$0.867578\pi$
$84$	0.653582	−	15.3773i	0.0713116	−	1.67780i
$85$	4.84696	−	4.31182i	0.525727	−	0.467683i
$86$	−2.82360	+	1.88373i	−0.304476	+	0.203127i
$87$	−0.310496	+	1.78804i	−0.0332886	+	0.191698i
$88$	7.32909	−	6.39948i	0.781284	−	0.682187i
$89$		−	2.43279i		−	0.257876i	−0.991653	−	0.128938i	$-0.958843\pi$
$89$		−	2.43279i		−	0.257876i	0.991653	−	0.128938i	$-0.0411568\pi$
$90$	7.83353	+	5.35124i	0.825727	+	0.564070i
$91$	28.6398			3.00227
$92$	9.22038	+	3.83477i	0.961291	+	0.399803i
$93$	1.29992	+	3.54284i	0.134795	+	0.367376i
$94$	0.616037	−	0.410981i	0.0635394	−	0.0423895i
$95$	2.88200	−	2.56380i	0.295687	−	0.263041i
$96$	−9.12820	−	3.56033i	−0.931643	−	0.363374i
$97$	−9.65294	+	5.57313i	−0.980107	+	0.565865i	−0.902303	−	0.431103i	$-0.858124\pi$
$97$	−9.65294	+	5.57313i	−0.980107	+	0.565865i	−0.0778047	+	0.996969i	$0.524791\pi$
$98$	7.98086	−	16.1542i	0.806189	−	1.63183i
$99$	−6.67453	−	7.87104i	−0.670816	−	0.791069i
$100$	−0.127329	−	9.99919i	−0.0127329	−	0.999919i
$101$	−4.16927	−	7.22139i	−0.414858	−	0.718556i	0.580555	−	0.814221i	$-0.302836\pi$
$101$	−4.16927	−	7.22139i	−0.414858	−	0.718556i	−0.995414	+	0.0956652i	$0.969502\pi$
$102$	5.73884	+	4.19136i	0.568230	+	0.415007i
$103$	−2.60688	+	4.51525i	−0.256863	+	0.444900i	−0.965400	−	0.260774i	$-0.916022\pi$
$103$	−2.60688	+	4.51525i	−0.256863	+	0.444900i	0.708537	+	0.705674i	$0.249356\pi$
$104$	5.89776	−	17.2517i	0.578323	−	1.69167i
$105$	9.06902	+	14.6241i	0.885046	+	1.42717i
$106$	0.126839	+	1.95677i	0.0123197	+	0.190059i
$107$	7.15717			0.691909			0.345955	−	0.938251i	$-0.387555\pi$
$107$	7.15717			0.691909			0.345955	+	0.938251i	$0.387555\pi$
$108$	−3.91593	+	9.62629i	−0.376811	+	0.926290i
$109$			10.9196i			1.04591i	0.852360	+	0.522956i	$0.175171\pi$
$109$			10.9196i			1.04591i	−0.852360	+	0.522956i	$0.824829\pi$
$110$	−2.74854	+	10.5253i	−0.262063	+	1.00355i
$111$	−4.02002	−	3.35545i	−0.381563	−	0.318485i
$112$	−12.5306	−	12.6030i	−1.18403	−	1.19087i
$113$	6.71874	−	11.6372i	0.632046	−	1.09473i	−0.355087	−	0.934833i	$-0.615549\pi$
$113$	6.71874	−	11.6372i	0.632046	−	1.09473i	0.987133	−	0.159902i	$-0.0511178\pi$
$114$	3.41231	+	2.49218i	0.319592	+	0.233414i
$115$	−10.9345	+	2.25568i	−1.01965	+	0.210343i
$116$	1.27329	+	1.66435i	0.118222	+	0.154531i
$117$	−18.2058	−	6.51952i	−1.68313	−	0.602729i
$118$	8.11026	+	4.00680i	0.746610	+	0.368856i
$119$	6.44510	+	11.1632i	0.590822	+	1.02333i
$120$	10.6766	−	2.45136i	0.974640	−	0.223778i
$121$	0.416811	−	0.721937i	0.0378919	−	0.0656307i
$122$	−4.14204	+	2.76331i	−0.375003	+	0.250178i
$123$	−1.33742	−	3.64507i	−0.120592	−	0.328665i
$124$	4.02349	+	1.67338i	0.361320	+	0.150274i
$125$	6.40768	+	9.16196i	0.573121	+	0.819471i
$126$	−13.5583	+	13.0960i	−1.20787	+	1.16668i
$127$	−8.48173			−0.752632			−0.376316	−	0.926491i	$-0.622809\pi$
$127$	−8.48173			−0.752632			−0.376316	+	0.926491i	$0.622809\pi$
$128$	−10.1721	+	4.95271i	−0.899091	+	0.437762i
$129$	4.09583	+	0.711246i	0.360618	+	0.0626217i
$130$	5.40100	+	19.6554i	0.473699	+	1.72389i
$131$	3.96031	+	2.28648i	0.346014	+	0.199771i	0.662928	−	0.748683i	$-0.269313\pi$
$131$	3.96031	+	2.28648i	0.346014	+	0.199771i	−0.316914	+	0.948454i	$0.602647\pi$
$132$	−11.9058	−	0.506031i	−1.03626	−	0.0440443i
$133$	3.83225	+	6.63765i	0.332298	+	0.575557i
$134$	−18.4160	−	9.09826i	−1.59090	−	0.785970i
$135$	−2.43600	−	11.3607i	−0.209658	−	0.977775i
$136$	8.05160	−	1.58349i	0.690419	−	0.135783i
$137$	8.47943	+	14.6868i	0.724446	+	1.25478i	0.959202	+	0.282723i	$0.0912378\pi$
$137$	8.47943	+	14.6868i	0.724446	+	1.25478i	−0.234755	+	0.972054i	$0.575429\pi$
$138$	−4.94672	−	11.1853i	−0.421093	−	0.952157i
$139$	6.53326	−	11.3159i	0.554144	−	0.959806i	−0.443825	−	0.896113i	$-0.646379\pi$
$139$	6.53326	−	11.3159i	0.554144	−	0.959806i	0.997970	−	0.0636926i	$-0.0202877\pi$
$140$	19.5097	+	3.76634i	1.64887	+	0.318314i
$141$	−0.893606	−	0.155176i	−0.0752552	−	0.0130682i
$142$	0.947668	−	0.0614281i	0.0795265	−	0.00515493i
$143$		−	22.1742i		−	1.85430i
$144$	5.09655	+	10.8639i	0.424712	+	0.905328i
$145$	−2.22384	−	0.737358i	−0.184680	−	0.0612342i
$146$	−1.05680	−	16.3035i	−0.0874610	−	1.34928i
$147$	−20.7171	+	7.60139i	−1.70872	+	0.626952i
$148$	−5.99585	+	0.780584i	−0.492855	+	0.0641636i
$149$	−4.42309	+	7.66101i	−0.362353	+	0.627615i	−0.988348	−	0.152213i	$-0.951360\pi$
$149$	−4.42309	+	7.66101i	−0.362353	+	0.627615i	0.625994	+	0.779828i	$0.284693\pi$
$150$	−8.32619	+	8.98190i	−0.679831	+	0.733369i
$151$	−11.2985	+	6.52318i	−0.919458	+	0.530849i	−0.883462	−	0.468503i	$-0.844794\pi$
$151$	−11.2985	+	6.52318i	−0.919458	+	0.530849i	−0.0359957	+	0.999352i	$0.511460\pi$
$152$	4.78747	−	0.941540i	0.388315	−	0.0763690i
$153$	−1.55585	−	8.56342i	−0.125783	−	0.692311i
$154$	−19.3790	−	9.57404i	−1.56161	−	0.771498i
$155$	−4.77148	+	0.984309i	−0.383254	+	0.0790616i
$156$	−19.7946	+	10.3335i	−1.58483	+	0.827342i
$157$	3.00104	−	5.19795i	0.239509	−	0.414842i	−0.721065	−	0.692868i	$-0.756347\pi$
$157$	3.00104	−	5.19795i	0.239509	−	0.414842i	0.960573	+	0.278026i	$0.0896802\pi$
$158$	−12.7896	+	8.53242i	−1.01749	+	0.678803i
$159$	1.53892	−	1.84372i	0.122045	−	0.146216i
$160$	6.28633	−	10.9764i	0.496978	−	0.867763i
$161$		−	22.1843i		−	1.74836i
$162$	11.5999	−	5.23848i	0.911376	−	0.411574i
$163$		−	1.53671i		−	0.120365i	−0.998187	−	0.0601823i	$-0.980832\pi$
$163$		−	1.53671i		−	0.120365i	0.998187	−	0.0601823i	$-0.0191682\pi$
$164$	−4.13959	−	1.72166i	−0.323248	−	0.134439i
$165$	11.3226	−	7.02162i	0.881463	−	0.546632i
$166$	1.53555	+	2.30169i	0.119182	+	0.178646i
$167$	9.36196	+	5.40513i	0.724450	+	0.418262i	0.816388	−	0.577503i	$-0.195973\pi$
$167$	9.36196	+	5.40513i	0.724450	+	0.418262i	−0.0919381	+	0.995765i	$0.529306\pi$
$168$	0.484314	+	21.7611i	0.0373656	+	1.67890i
$169$	−14.2753	−	24.7255i	−1.09810	−	1.90196i
$170$	−6.44585	+	6.52845i	−0.494374	+	0.500710i
$171$	−0.925106	−	5.09180i	−0.0707446	−	0.389379i
$172$	3.81249	−	2.91671i	0.290699	−	0.222397i
$173$	−19.2525	+	11.1154i	−1.46374	+	0.845091i	−0.999182	−	0.0404512i	$-0.987120\pi$
$173$	−19.2525	+	11.1154i	−1.46374	+	0.845091i	−0.464559	+	0.885542i	$0.653787\pi$
$174$	0.274622	−	2.55178i	0.0208190	−	0.193450i
$175$	−20.4017	+	8.79146i	−1.54222	+	0.664572i
$176$	−9.75779	+	9.70173i	−0.735521	+	0.731295i
$177$	−3.81628	−	10.4011i	−0.286850	−	0.781792i
$178$	0.222546	+	3.43329i	0.0166806	+	0.257336i
$179$			19.6132i			1.46596i	0.680252	+	0.732979i	$0.261870\pi$
$179$			19.6132i			1.46596i	−0.680252	+	0.732979i	$0.738130\pi$
$180$	−11.5446	−	6.83535i	−0.860484	−	0.509477i
$181$			14.2901i			1.06217i	0.847318	+	0.531086i	$0.178216\pi$
$181$			14.2901i			1.06217i	−0.847318	+	0.531086i	$0.821784\pi$
$182$	−40.4180	+	2.61991i	−2.99598	+	0.194200i
$183$	6.00833	+	1.04335i	0.444148	+	0.0771270i
$184$	−13.3631	−	4.56837i	−0.985139	−	0.336785i
$185$	5.05082	−	4.49317i	0.371344	−	0.330344i
$186$	−2.15860	−	4.88093i	−0.158276	−	0.357887i
$187$	8.64306	−	4.99007i	0.632043	−	0.364910i
$188$	−0.831788	+	0.636352i	−0.0606643	+	0.0464107i
$189$	23.0861	−	0.179807i	1.67927	−	0.0130791i
$190$	−3.83269	+	3.88181i	−0.278053	+	0.281616i
$191$	5.73266	+	9.92925i	0.414800	+	0.718455i	0.995407	−	0.0957285i	$-0.0305181\pi$
$191$	5.73266	+	9.92925i	0.414800	+	0.718455i	−0.580607	+	0.814184i	$0.697185\pi$
$192$	13.2079	+	4.18949i	0.953197	+	0.302350i
$193$	7.67383	+	4.43049i	0.552374	+	0.318913i	0.750079	−	0.661348i	$-0.230015\pi$
$193$	7.67383	+	4.43049i	0.552374	+	0.318913i	−0.197705	+	0.980262i	$0.563349\pi$
$194$	13.1129	−	8.74811i	0.941452	−	0.628078i
$195$	11.7955	−	22.0029i	0.844690	−	1.57566i
$196$	−9.78525	+	23.5278i	−0.698947	+	1.68056i
$197$		−	11.7577i		−	0.837703i	−0.908055	−	0.418851i	$-0.862433\pi$
$197$		−	11.7577i		−	0.837703i	0.908055	−	0.418851i	$-0.137567\pi$
$198$	10.1395	+	10.4974i	0.720581	+	0.746021i
$199$			24.6295i			1.74594i	0.487772	+	0.872971i	$0.337810\pi$
$199$			24.6295i			1.74594i	−0.487772	+	0.872971i	$0.662190\pi$
$200$	1.09440	+	14.0997i	0.0773855	+	0.997001i
$201$	8.66565	+	23.6177i	0.611228	+	1.66587i
$202$	6.54449	+	9.80981i	0.460469	+	0.690216i
$203$	2.32766	−	4.03163i	0.163370	−	0.282965i
$204$	−8.48237	−	5.39009i	−0.593885	−	0.377382i
$205$	4.90916	−	1.01271i	0.342871	−	0.0707308i
$206$	3.26592	−	6.61062i	0.227547	−	0.460584i
$207$	−5.04998	+	14.1021i	−0.350998	+	0.980165i
$208$	−6.74508	+	24.8860i	−0.467687	+	1.72553i
$209$	5.13915	−	2.96709i	0.355482	−	0.205238i
$210$	−14.1364	−	19.8087i	−0.975508	−	1.36693i
$211$	−9.12269	+	15.8010i	−0.628032	+	1.08778i	0.359914	+	0.932985i	$0.382806\pi$
$211$	−9.12269	+	15.8010i	−0.628032	+	1.08778i	−0.987946	+	0.154798i	$0.950527\pi$
$212$	−0.358003	−	2.74990i	−0.0245877	−	0.188864i
$213$	−0.892915	−	0.745303i	−0.0611815	−	0.0510673i
$214$	−10.1006	+	0.654721i	−0.690460	+	0.0447558i
$215$	−1.68905	+	5.09411i	−0.115192	+	0.347415i
$216$	4.64578	−	13.9433i	0.316105	−	0.948724i
$217$		−	9.68054i		−	0.657158i
$218$	−0.998904	−	15.4104i	−0.0676543	−	1.04372i
$219$	−12.8220	+	15.3615i	−0.866432	+	1.03803i
$220$	2.91606	−	15.1053i	0.196601	−	1.01840i
$221$	9.35053	−	16.1956i	0.628985	−	1.08943i
$222$	5.98021	+	4.36764i	0.401365	+	0.293137i
$223$	0.488331	+	0.845814i	0.0327011	+	0.0566399i	0.881913	−	0.471413i	$-0.156256\pi$
$223$	0.488331	+	0.845814i	0.0327011	+	0.0566399i	−0.849212	+	0.528053i	$0.822922\pi$
$224$	18.8367	+	16.6398i	1.25858	+	1.11179i
$225$	14.9702	−	0.944360i	0.998016	−	0.0629573i
$226$	−8.41729	+	17.0376i	−0.559909	+	1.13333i
$227$	−6.74202	−	11.6775i	−0.447484	−	0.775064i	0.550738	−	0.834678i	$-0.314346\pi$
$227$	−6.74202	−	11.6775i	−0.447484	−	0.775064i	−0.998222	+	0.0596138i	$0.981013\pi$
$228$	−5.04360	−	3.20494i	−0.334021	−	0.212252i
$229$	−8.09471	−	4.67348i	−0.534913	−	0.308832i	0.208102	−	0.978107i	$-0.433272\pi$
$229$	−8.09471	−	4.67348i	−0.534913	−	0.308832i	−0.743015	+	0.669275i	$0.766605\pi$
$230$	15.2250	−	4.18359i	1.00390	−	0.275858i
$231$	9.11881	+	24.8528i	0.599974	+	1.63519i
$232$	−1.94919	−	2.23233i	−0.127971	−	0.146560i
$233$	−17.3072			−1.13383			−0.566916	−	0.823776i	$-0.691864\pi$
$233$	−17.3072			−1.13383			−0.566916	+	0.823776i	$0.691864\pi$
$234$	26.2894	+	7.53525i	1.71859	+	0.492595i
$235$	0.368508	−	1.11140i	0.0240388	−	0.0725000i
$236$	−11.8121	−	4.91270i	−0.768905	−	0.319789i
$237$	18.5522	+	3.22162i	1.20510	+	0.209267i
$238$	−10.1169	−	15.1646i	−0.655778	−	0.982973i
$239$	11.2185	−	19.4311i	0.725666	−	1.25689i	−0.233033	−	0.972469i	$-0.574865\pi$
$239$	11.2185	−	19.4311i	0.725666	−	1.25689i	0.958699	−	0.284422i	$-0.0918015\pi$
$240$	−14.8432	+	4.43616i	−0.958124	+	0.286353i
$241$	6.28764	+	10.8905i	0.405023	+	0.701520i	0.994324	−	0.106393i	$-0.0339303\pi$
$241$	6.28764	+	10.8905i	0.405023	+	0.701520i	−0.589301	+	0.807913i	$0.700597\pi$
$242$	−0.522184	+	1.05696i	−0.0335672	+	0.0679442i
$243$	−14.7163	−	5.14098i	−0.944053	−	0.329794i
$244$	5.59268	−	4.27863i	0.358035	−	0.273911i
$245$	−5.75584	−	27.9017i	−0.367727	−	1.78257i
$246$	2.22089	+	5.02177i	0.141599	+	0.320176i
$247$	5.55981	−	9.62988i	0.353763	−	0.612735i
$248$	−5.83124	−	1.99350i	−0.370284	−	0.126587i
$249$	0.579782	−	3.33877i	0.0367422	−	0.211586i
$250$	−9.88097	−	12.3437i	−0.624927	−	0.780683i
$251$		−	17.4293i		−	1.10013i	−0.835122	−	0.550064i	$-0.814603\pi$
$251$		−	17.4293i		−	1.10013i	0.835122	−	0.550064i	$-0.185397\pi$
$252$	17.9362	−	19.7220i	1.12988	−	1.24237i
$253$	−17.1760			−1.07985
$254$	11.9699	−	0.775889i	0.751056	−	0.0486836i
$255$	11.2307	−	0.353880i	0.703296	−	0.0221608i
$256$	13.9023	−	7.92004i	0.868892	−	0.495002i
$257$	−0.662264	+	1.14708i	−0.0413109	+	0.0715526i	−0.885942	−	0.463797i	$-0.846487\pi$
$257$	−0.662264	+	1.14708i	−0.0413109	+	0.0715526i	0.844631	+	0.535349i	$0.179820\pi$
$258$	−5.84531	−	0.629070i	−0.363913	−	0.0391642i
$259$	6.71617	+	11.6328i	0.417323	+	0.722824i
$260$	−9.42021	−	27.2446i	−0.584216	−	1.68964i
$261$	−2.39740	+	2.03296i	−0.148395	+	0.125837i
$262$	−5.79815	−	2.86453i	−0.358211	−	0.176971i
$263$	−2.22865	+	1.28671i	−0.137424	+	0.0793420i	−0.567136	−	0.823624i	$-0.691949\pi$
$263$	−2.22865	+	1.28671i	−0.137424	+	0.0793420i	0.429712	+	0.902966i	$0.358615\pi$
$264$	16.8483	−	0.374976i	1.03694	−	0.0230782i
$265$	2.06072	+	2.31648i	0.126589	+	0.142300i
$266$	−6.01547	−	9.01683i	−0.368832	−	0.552857i
$267$	2.70014	−	3.23492i	0.165246	−	0.197974i
$268$	26.8219	+	11.1553i	1.63841	+	0.681417i
$269$	−25.2205			−1.53772			−0.768861	−	0.639416i	$-0.779176\pi$
$269$	−25.2205			−1.53772			−0.768861	+	0.639416i	$0.779176\pi$
$270$	4.47706	+	15.8100i	0.272465	+	0.962166i
$271$		−	23.6914i		−	1.43915i	−0.694413	−	0.719576i	$-0.744336\pi$
$271$		−	23.6914i		−	1.43915i	0.694413	−	0.719576i	$-0.255664\pi$
$272$	−11.2180	+	2.97124i	−0.680190	+	0.180158i
$273$	38.0828	+	31.7871i	2.30487	+	1.92384i
$274$	−13.3101	−	19.9511i	−0.804094	−	1.20529i
$275$	6.80672	+	15.7959i	0.410461	+	0.952526i
$276$	8.00428	+	15.3328i	0.481801	+	0.922925i
$277$	−5.43107	−	9.40689i	−0.326321	−	0.565205i	0.655458	−	0.755232i	$-0.272476\pi$
$277$	−5.43107	−	9.40689i	−0.326321	−	0.565205i	−0.981779	+	0.190027i	$0.939142\pi$
$278$	−8.18492	+	16.5673i	−0.490899	+	0.993640i
$279$	−2.20366	+	6.15374i	−0.131930	+	0.368414i
$280$	−27.8777	−	3.53054i	−1.66601	−	0.210990i
$281$	21.6886	−	12.5219i	1.29383	−	0.746996i	0.314503	−	0.949257i	$-0.398162\pi$
$281$	21.6886	−	12.5219i	1.29383	−	0.746996i	0.979332	+	0.202261i	$0.0648290\pi$
$282$	1.27530	+	0.137247i	0.0759429	+	0.00817295i
$283$	−23.1480	−	13.3645i	−1.37601	−	0.794437i	−0.384330	−	0.923196i	$-0.625567\pi$
$283$	−23.1480	−	13.3645i	−1.37601	−	0.794437i	−0.991676	+	0.128759i	$0.958901\pi$
$284$	−1.33178	+	0.173381i	−0.0790266	+	0.0102883i
$285$	6.67778	−	0.210416i	0.395557	−	0.0124640i
$286$	2.02844	+	31.2933i	0.119944	+	1.85041i
$287$			9.95987i			0.587912i
$288$	−8.18632	−	14.8655i	−0.482383	−	0.875960i
$289$	−8.58303			−0.504884
$290$	3.20585	+	0.837166i	0.188254	+	0.0491601i
$291$	−19.0212	−	3.30306i	−1.11504	−	0.193629i
$292$	2.98281	+	22.9116i	0.174556	+	1.34080i
$293$	−15.1704	−	8.75861i	−0.886262	−	0.511683i	−0.0135438	−	0.999908i	$-0.504311\pi$
$293$	−15.1704	−	8.75861i	−0.886262	−	0.511683i	−0.872718	+	0.488225i	$0.837645\pi$
$294$	28.5417	−	12.6226i	1.66459	−	0.736167i
$295$	14.0081	−	2.88973i	0.815582	−	0.168246i
$296$	8.39024	−	1.65009i	0.487673	−	0.0959094i
$297$	−0.139214	−	17.8742i	−0.00807804	−	1.03717i
$298$	5.54128	−	11.2162i	0.320998	−	0.649739i
$299$	−27.8729	+	16.0924i	−1.61193	+	0.930649i
$300$	10.9287	−	13.4374i	0.630970	−	0.775808i
$301$	−9.23517	−	5.33193i	−0.532306	−	0.307327i
$302$	15.3483	−	10.2394i	0.883195	−	0.589212i
$303$	2.47103	−	14.2298i	0.141957	−	0.817483i
$304$	−6.67020	+	1.76670i	−0.382562	+	0.101327i
$305$	−2.47773	+	7.47274i	−0.141875	+	0.427888i
$306$	2.97906	+	11.9428i	0.170301	+	0.682725i
$307$		−	21.8552i		−	1.24734i	−0.781686	−	0.623672i	$-0.785640\pi$
$307$		−	21.8552i		−	1.24734i	0.781686	−	0.623672i	$-0.214360\pi$
$308$	28.2245	+	11.7386i	1.60824	+	0.668871i
$309$	−8.47784	+	3.11063i	−0.482287	+	0.176958i
$310$	6.64372	−	1.82559i	0.377338	−	0.103687i
$311$	0.374893	−	0.649334i	0.0212583	−	0.0368204i	−0.855201	−	0.518297i	$-0.826566\pi$
$311$	0.374893	−	0.649334i	0.0212583	−	0.0368204i	0.876459	+	0.481477i	$0.159899\pi$
$312$	26.9899	−	16.3939i	1.52800	−	0.928124i
$313$	13.8003	−	7.96758i	0.780037	−	0.450354i	−0.0564066	−	0.998408i	$-0.517964\pi$
$313$	13.8003	−	7.96758i	0.780037	−	0.450354i	0.836443	+	0.548053i	$0.184631\pi$
$314$	−3.75972	+	7.61015i	−0.212174	+	0.429465i
$315$	−4.17198	+	29.5115i	−0.235064	+	1.66278i
$316$	17.2688	−	13.2114i	0.971447	−	0.743197i
$317$	23.4404	−	13.5333i	1.31654	−	0.760107i	0.333373	−	0.942795i	$-0.391813\pi$
$317$	23.4404	−	13.5333i	1.31654	−	0.760107i	0.983171	+	0.182688i	$0.0584799\pi$
$318$	−2.00315	+	2.74273i	−0.112331	+	0.153805i
$319$	−3.12146	−	1.80217i	−0.174768	−	0.100902i
$320$	−7.86750	+	16.0656i	−0.439806	+	0.898093i
$321$	9.51698	+	7.94369i	0.531186	+	0.443373i
$322$	2.02936	+	31.3076i	0.113092	+	1.74470i
$323$	5.00472			0.278470
$324$	−15.8912	+	8.45395i	−0.882845	+	0.469664i
$325$	25.8452	+	19.2559i	1.43363	+	1.06813i
$326$	0.140575	+	2.16869i	0.00778573	+	0.120113i
$327$	−12.1196	+	14.5200i	−0.670217	+	0.802958i
$328$	5.99950	+	2.05102i	0.331267	+	0.113249i
$329$	2.01488	+	1.16329i	0.111084	+	0.0641343i
$330$	−15.3367	+	10.9450i	−0.844258	+	0.602504i
$331$	−5.52615	−	9.57158i	−0.303745	−	0.526102i	0.673236	−	0.739427i	$-0.264904\pi$
$331$	−5.52615	−	9.57158i	−0.303745	−	0.526102i	−0.976981	+	0.213326i	$0.931570\pi$
$332$	−2.37760	−	3.10780i	−0.130488	−	0.170563i
$333$	−1.62129	−	8.92358i	−0.0888459	−	0.489009i
$334$	−13.7065	−	6.77159i	−0.749988	−	0.370525i
$335$	−31.8082	+	6.56172i	−1.73787	+	0.358505i
$336$	−2.67414	−	30.6660i	−0.145886	−	1.67297i
$337$	16.4588	+	9.50249i	0.896568	+	0.517634i	0.876085	−	0.482157i	$-0.160146\pi$
$337$	16.4588	+	9.50249i	0.896568	+	0.517634i	0.0204827	+	0.999790i	$0.493480\pi$
$338$	22.4078	+	33.5880i	1.21883	+	1.82695i
$339$	21.8500	−	8.01706i	1.18673	−	0.435427i
$340$	8.49951	−	9.80295i	0.460951	−	0.531639i
$341$	−7.49508			−0.405881
$342$	1.77134	+	7.10118i	0.0957833	+	0.383988i
$343$	25.5065			1.37722
$344$	−5.11356	+	4.46497i	−0.275705	+	0.240735i
$345$	−17.0433	−	9.13670i	−0.917580	−	0.491903i
$346$	26.1533	−	17.4479i	1.40601	−	0.938002i
$347$	−18.0715	+	31.3007i	−0.970128	+	1.68031i	−0.274970	+	0.961453i	$0.588668\pi$
$347$	−18.0715	+	31.3007i	−0.970128	+	1.68031i	−0.695157	+	0.718858i	$0.744665\pi$
$348$	−0.154130	+	3.62632i	−0.00826221	+	0.194391i
$349$	−9.80141	+	5.65885i	−0.524658	+	0.302911i	−0.738838	−	0.673883i	$-0.764625\pi$
$349$	−9.80141	+	5.65885i	−0.524658	+	0.302911i	0.214181	+	0.976794i	$0.431292\pi$
$350$	27.9877	−	14.2733i	1.49601	−	0.762938i
$351$	−16.9725	−	28.8756i	−0.905927	−	1.54126i
$352$	12.8832	−	14.5842i	0.686677	−	0.777341i
$353$	11.2508	+	19.4870i	0.598821	+	1.03719i	0.992995	+	0.118152i	$0.0376971\pi$
$353$	11.2508	+	19.4870i	0.598821	+	1.03719i	−0.394175	+	0.919035i	$0.628970\pi$
$354$	6.33720	+	14.3294i	0.336819	+	0.761600i
$355$	1.12187	−	0.998009i	0.0595428	−	0.0529688i
$356$	−0.628138	−	4.82487i	−0.0332913	−	0.255718i
$357$	−3.81986	+	21.9973i	−0.202168	+	1.16422i
$358$	−1.79417	−	27.6791i	−0.0948247	−	1.46289i
$359$	8.28323			0.437172			0.218586	−	0.975818i	$-0.429856\pi$
$359$	8.28323			0.437172			0.218586	+	0.975818i	$0.429856\pi$
$360$	16.9176	+	8.59032i	0.891638	+	0.452750i
$361$	−16.0242			−0.843379
$362$	−1.30722	−	20.1669i	−0.0687060	−	1.05995i
$363$	1.35551	−	0.497355i	0.0711459	−	0.0261044i
$364$	56.8003	−	7.39469i	2.97715	−	0.387587i
$365$	−17.1695	−	19.3004i	−0.898694	−	1.01023i
$366$	−8.57471	−	0.922808i	−0.448207	−	0.0482359i
$367$	−6.11970	−	10.5996i	−0.319446	−	0.553296i	0.660927	−	0.750450i	$-0.270163\pi$
$367$	−6.11970	−	10.5996i	−0.319446	−	0.553296i	−0.980373	+	0.197154i	$0.936830\pi$
$368$	19.2766	+	5.22470i	1.00486	+	0.272356i
$369$	2.26725	−	6.33130i	0.118028	−	0.329594i
$370$	−6.71695	+	6.80303i	−0.349198	+	0.353673i
$371$	−5.33518	+	3.08027i	−0.276989	+	0.159919i
$372$	3.49282	+	6.69076i	0.181095	+	0.346900i
$373$	−4.19378	+	7.26385i	−0.217146	+	0.376108i	−0.953934	−	0.300016i	$-0.903008\pi$
$373$	−4.19378	+	7.26385i	−0.217146	+	0.376108i	0.736788	+	0.676123i	$0.236341\pi$
$374$	−11.7411	+	7.83289i	−0.607115	+	0.405029i
$375$	−1.64841	+	19.2946i	−0.0851235	+	0.996370i
$376$	1.11565	−	0.974143i	0.0575352	−	0.0502376i
$377$	−6.75393			−0.347845
$378$	−32.5639	+	2.36562i	−1.67490	+	0.121674i
$379$	4.09156			0.210169			0.105085	−	0.994463i	$-0.466489\pi$
$379$	4.09156			0.210169			0.105085	+	0.994463i	$0.466489\pi$
$380$	5.05380	−	5.82882i	0.259254	−	0.299012i
$381$	−11.2783	−	9.41381i	−0.577804	−	0.482284i
$382$	−8.99853	−	13.4883i	−0.460405	−	0.690120i
$383$	8.65205	+	4.99526i	0.442099	+	0.255246i	0.704488	−	0.709716i	$-0.251177\pi$
$383$	8.65205	+	4.99526i	0.442099	+	0.255246i	−0.262389	+	0.964962i	$0.584510\pi$
$384$	−19.0229	−	4.70420i	−0.970758	−	0.240060i
$385$	−33.4716	+	6.90485i	−1.70587	+	0.351904i
$386$	−11.2350	−	5.55055i	−0.571846	−	0.282516i
$387$	4.65687	+	5.49168i	0.236722	+	0.279158i
$388$	−17.7054	+	13.5453i	−0.898853	+	0.687660i
$389$	15.5346	+	26.9067i	0.787636	+	1.36423i	0.927412	+	0.374042i	$0.122029\pi$
$389$	15.5346	+	26.9067i	0.787636	+	1.36423i	−0.139776	+	0.990183i	$0.544638\pi$
$390$	−14.6336	+	32.1306i	−0.741001	+	1.62700i
$391$	−12.5450	−	7.24287i	−0.634429	−	0.366288i
$392$	11.6572	−	34.0988i	0.588777	−	1.72225i
$393$	2.72832	+	7.43589i	0.137626	+	0.375091i
$394$	1.07557	+	16.5931i	0.0541864	+	0.835948i
$395$	−7.65063	+	23.0740i	−0.384945	+	1.16098i
$396$	−15.2696	−	13.8870i	−0.767328	−	0.697848i
$397$	19.0643			0.956811			0.478406	−	0.878139i	$-0.341215\pi$
$397$	19.0643			0.956811			0.478406	+	0.878139i	$0.341215\pi$
$398$	−2.25305	−	34.7585i	−0.112935	−	1.74229i
$399$	−2.27128	+	13.0796i	−0.113706	+	0.654797i
$400$	−2.83428	−	19.7982i	−0.141714	−	0.989908i
$401$	−10.4688	−	6.04419i	−0.522789	−	0.301832i	0.215286	−	0.976551i	$-0.430932\pi$
$401$	−10.4688	−	6.04419i	−0.522789	−	0.301832i	−0.738075	+	0.674719i	$0.764265\pi$
$402$	−14.3899	−	32.5378i	−0.717704	−	1.62284i
$403$	−12.1629	+	7.02225i	−0.605877	+	0.349803i
$404$	−10.1333	−	13.2454i	−0.504151	−	0.658985i
$405$	9.36999	−	17.8102i	0.465599	−	0.884996i
$406$	−2.91611	+	5.90257i	−0.144724	+	0.292940i
$407$	9.00657	−	5.19995i	0.446439	−	0.257752i
$408$	12.4638	+	6.83083i	0.617052	+	0.338176i
$409$	−17.0935	+	29.6068i	−0.845218	+	1.46396i	0.0402130	+	0.999191i	$0.487196\pi$
$409$	−17.0935	+	29.6068i	−0.845218	+	1.46396i	−0.885431	+	0.464770i	$0.846137\pi$
$410$	−6.83542	+	1.87827i	−0.337577	+	0.0927611i
$411$	−5.02555	+	28.9405i	−0.247892	+	1.42753i
$412$	−4.00431	+	9.62801i	−0.197278	+	0.474338i
$413$			28.4201i			1.39846i
$414$	5.83677	−	20.3636i	0.286862	−	1.00082i
$415$	4.15253	+	1.37685i	0.203840	+	0.0675871i
$416$	7.24249	−	35.7374i	0.355092	−	1.75217i
$417$	21.2469	−	7.79575i	1.04046	−	0.381759i
$418$	−6.98121	+	4.65743i	−0.341462	+	0.227802i
$419$	−3.57511	−	2.06409i	−0.174656	−	0.100838i	0.410124	−	0.912030i	$-0.365486\pi$
$419$	−3.57511	−	2.06409i	−0.174656	−	0.100838i	−0.584779	+	0.811192i	$0.698819\pi$
$420$	21.7621	+	26.6619i	1.06188	+	1.30097i
$421$	8.50677	−	4.91139i	0.414595	−	0.239366i	−0.278167	−	0.960533i	$-0.589727\pi$
$421$	8.50677	−	4.91139i	0.414595	−	0.239366i	0.692762	+	0.721166i	$0.256394\pi$
$422$	11.4290	−	23.1337i	0.556354	−	1.12613i
$423$	−1.01601	−	1.19815i	−0.0494002	−	0.0582558i
$424$	0.756786	+	3.84805i	0.0367528	+	0.186878i
$425$	−1.68939	+	14.4073i	−0.0819474	+	0.698857i
$426$	1.32831	+	0.970128i	0.0643566	+	0.0470029i
$427$	−13.5474	−	7.82161i	−0.655606	−	0.378514i
$428$	14.1945	−	1.84795i	0.686119	−	0.0893242i
$429$	24.6109	−	29.4853i	1.18823	−	1.42356i
$430$	1.91768	−	7.34358i	0.0924787	−	0.354139i
$431$	6.50175			0.313178			0.156589	−	0.987664i	$-0.449950\pi$
$431$	6.50175			0.313178			0.156589	+	0.987664i	$0.449950\pi$
$432$	−5.28086	+	20.1026i	−0.254075	+	0.967184i
$433$			4.89817i			0.235391i	0.993050	+	0.117695i	$0.0375506\pi$
$433$			4.89817i			0.235391i	−0.993050	+	0.117695i	$0.962449\pi$
$434$	0.885553	+	13.6617i	0.0425079	+	0.655782i
$435$	−2.13868	−	3.44870i	−0.102542	−	0.165352i
$436$	2.81941	+	21.6565i	0.135025	+	1.03716i
$437$	−7.45925	−	4.30660i	−0.356825	−	0.206013i
$438$	16.6899	−	22.8519i	0.797473	−	1.09191i
$439$	−5.41005	+	3.12349i	−0.258208	+	0.149076i	−0.623517	−	0.781810i	$-0.714297\pi$
$439$	−5.41005	+	3.12349i	−0.258208	+	0.149076i	0.365309	+	0.930886i	$0.380963\pi$
$440$	−2.73350	+	21.5841i	−0.130314	+	1.02898i
$441$	−35.9846	−	12.8861i	−1.71355	−	0.613625i
$442$	−11.7144	+	23.7114i	−0.557198	+	1.12784i
$443$	−7.00848	−	12.1390i	−0.332983	−	0.576743i	0.650112	−	0.759838i	$-0.274722\pi$
$443$	−7.00848	−	12.1390i	−0.332983	−	0.576743i	−0.983095	+	0.183095i	$0.941388\pi$
$444$	−8.83912	−	5.61679i	−0.419486	−	0.266561i
$445$	3.61566	+	4.06441i	0.171399	+	0.192671i
$446$	−0.766531	−	1.14898i	−0.0362963	−	0.0544060i
$447$	−14.3843	+	5.27780i	−0.680356	+	0.249631i
$448$	−28.1056	−	21.7597i	−1.32786	−	1.02805i
$449$			27.5050i			1.29804i	0.760771	+	0.649020i	$0.224821\pi$
$449$			27.5050i			1.29804i	−0.760771	+	0.649020i	$0.775179\pi$
$450$	−21.0404	+	2.70217i	−0.991854	+	0.127382i
$451$	7.71135			0.363113
$452$	10.3203	−	24.8144i	0.485428	−	1.16717i
$453$	−22.2638	−	3.86614i	−1.04604	−	0.181647i
$454$	10.5829	+	15.8632i	0.496681	+	0.744496i
$455$	−47.8478	+	42.5651i	−2.24314	+	1.99548i
$456$	7.41098	+	4.06160i	0.347051	+	0.190202i
$457$	24.6195	−	14.2141i	1.15165	−	0.664905i	0.202361	−	0.979311i	$-0.435139\pi$
$457$	24.6195	−	14.2141i	1.15165	−	0.664905i	0.949289	+	0.314406i	$0.101805\pi$
$458$	11.8512	+	5.85497i	0.553770	+	0.273585i
$459$	7.43564	−	13.1137i	0.347066	−	0.612096i
$460$	−21.1036	+	7.29684i	−0.983959	+	0.340217i
$461$	14.7518	+	25.5509i	0.687060	+	1.19002i	0.972785	+	0.231711i	$0.0744325\pi$
$461$	14.7518	+	25.5509i	0.687060	+	1.19002i	−0.285724	+	0.958312i	$0.592234\pi$
$462$	−15.1424	−	34.2394i	−0.704489	−	1.59296i
$463$	14.2019	−	24.5984i	0.660019	−	1.14319i	−0.320592	−	0.947217i	$-0.603882\pi$
$463$	14.2019	−	24.5984i	0.660019	−	1.14319i	0.980610	−	0.195968i	$-0.0627849\pi$
$464$	2.95500	+	2.97208i	0.137183	+	0.137975i
$465$	−7.43718	−	3.98698i	−0.344891	−	0.184892i
$466$	24.4248	−	1.58322i	1.13146	−	0.0733414i
$467$	18.8199			0.870881			0.435441	−	0.900217i	$-0.356593\pi$
$467$	18.8199			0.870881			0.435441	+	0.900217i	$0.356593\pi$
$468$	−37.7902	−	8.22925i	−1.74685	−	0.380397i
$469$		−	64.5336i		−	2.97988i
$470$	−0.418389	+	1.60218i	−0.0192988	+	0.0739031i
$471$	9.75969	−	3.58096i	0.449703	−	0.165002i
$472$	17.1193	+	5.85250i	0.787981	+	0.269383i
$473$	−4.12820	+	7.15026i	−0.189815	+	0.328769i
$474$	−26.4766	−	2.84940i	−1.21611	−	0.130877i
$475$	−1.00451	+	8.56656i	−0.0460900	+	0.393061i
$476$	15.6646	+	20.4756i	0.717988	+	0.938496i
$477$	4.09266	−	0.743577i	0.187390	−	0.0340461i
$478$	−14.0547	+	28.4484i	−0.642845	+	1.30120i
$479$	−15.7865	−	27.3430i	−0.721302	−	1.24933i	−0.960478	−	0.278356i	$-0.910210\pi$
$479$	−15.7865	−	27.3430i	−0.721302	−	1.24933i	0.239176	−	0.970976i	$-0.423123\pi$
$480$	20.5417	−	7.61836i	0.937595	−	0.347729i
$481$	9.74380	−	16.8768i	0.444279	−	0.769514i
$482$	−9.86969	−	14.7941i	−0.449552	−	0.673852i
$483$	24.6221	−	29.4987i	1.12035	−	1.34224i
$484$	0.640244	−	1.53941i	0.0291020	−	0.0699732i
$485$	7.84403	−	23.6573i	0.356179	−	1.07422i
$486$	21.2387	+	5.90900i	0.963408	+	0.268038i
$487$	−26.0524			−1.18055			−0.590273	−	0.807204i	$-0.700980\pi$
$487$	−26.0524			−1.18055			−0.590273	+	0.807204i	$0.700980\pi$
$488$	−7.50128	+	6.54983i	−0.339567	+	0.296497i
$489$	1.70559	−	2.04339i	0.0771293	−	0.0924053i
$490$	10.6753	+	38.8498i	0.482262	+	1.75506i
$491$	15.9676	+	9.21888i	0.720606	+	0.416042i	0.814976	−	0.579495i	$-0.196750\pi$
$491$	15.9676	+	9.21888i	0.720606	+	0.416042i	−0.0943697	+	0.995537i	$0.530084\pi$
$492$	−3.59361	−	6.88382i	−0.162012	−	0.310347i
$493$	−1.51990	−	2.63255i	−0.0684530	−	0.118564i
$494$	−6.96538	+	14.0988i	−0.313387	+	0.634334i
$495$	22.8491	+	3.23012i	1.02699	+	0.145183i
$496$	8.41171	+	2.27990i	0.377697	+	0.102371i
$497$	1.49178	+	2.58383i	0.0669153	+	0.115901i
$498$	−0.512796	+	4.76489i	−0.0229789	+	0.213520i
$499$	4.26300	−	7.38373i	0.190838	−	0.330541i	−0.754690	−	0.656081i	$-0.772213\pi$
$499$	4.26300	−	7.38373i	0.190838	−	0.330541i	0.945528	+	0.325540i	$0.105546\pi$
$500$	15.0737	+	16.5162i	0.674117	+	0.738625i
$501$	6.44962	+	17.5780i	0.288148	+	0.785329i
$502$	1.59439	+	24.5972i	0.0711613	+	1.09782i
$503$		−	8.43519i		−	0.376107i	−0.982159	−	0.188053i	$-0.939782\pi$
$503$		−	8.43519i		−	0.376107i	0.982159	−	0.188053i	$-0.0602178\pi$
$504$	−23.5084	+	29.4735i	−1.04715	+	1.31285i
$505$	17.6981	+	5.86815i	0.787554	+	0.261129i
$506$	24.2396	−	1.57122i	1.07758	−	0.0698493i
$507$	8.46062	−	48.7219i	0.375749	−	2.16381i
$508$	−16.8215	+	2.18995i	−0.746334	+	0.0971634i
$509$	−10.7797	+	18.6710i	−0.477801	+	0.827576i	−0.999676	−	0.0254459i	$-0.991899\pi$
$509$	−10.7797	+	18.6710i	−0.477801	+	0.827576i	0.521875	+	0.853022i	$0.325233\pi$
$510$	−15.8170	+	1.52677i	−0.700389	+	0.0676067i
$511$	44.4517	−	25.6642i	1.96643	−	1.13532i
$512$	−18.8951	+	12.4489i	−0.835053	+	0.550170i
$513$	4.42122	−	7.79740i	0.195202	−	0.344264i
$514$	0.829690	−	1.67939i	0.0365961	−	0.0740749i
$515$	−2.35540	−	11.4179i	−0.103791	−	0.503133i
$516$	8.30675	+	0.353061i	0.365684	+	0.0155427i
$517$	0.900669	−	1.56000i	0.0396114	−	0.0686089i
$518$	−10.5423	−	15.8024i	−0.463204	−	0.694316i
$519$	−37.9373	−	6.58786i	−1.66526	−	0.289175i
$520$	15.7866	+	37.5873i	0.692286	+	1.64831i
$521$			0.782710i			0.0342912i	0.999853	+	0.0171456i	$0.00545788\pi$
$521$			0.782710i			0.0342912i	−0.999853	+	0.0171456i	$0.994542\pi$
$522$	3.19737	−	3.08833i	0.139945	−	0.135173i
$523$			17.8348i			0.779862i	0.920844	+	0.389931i	$0.127501\pi$
$523$			17.8348i			0.779862i	−0.920844	+	0.389931i	$0.872499\pi$
$524$	8.44470	+	3.51217i	0.368908	+	0.153430i
$525$	−36.8860	−	10.9536i	−1.60984	−	0.478053i
$526$	3.02748	−	2.01975i	0.132004	−	0.0880651i
$527$	−5.47427	−	3.16057i	−0.238463	−	0.137677i
$528$	−23.7429	+	2.07043i	−1.03328	+	0.0901040i
$529$	0.965104	+	1.67161i	0.0419611	+	0.0726787i
$530$	−3.12010	−	3.08062i	−0.135529	−	0.133814i
$531$	6.46949	−	18.0661i	0.280752	−	0.784002i
$532$	9.31418	+	12.1747i	0.403821	+	0.527842i
$533$	12.5138	−	7.22487i	0.542035	−	0.312944i
$534$	−3.51465	+	4.81229i	−0.152094	+	0.208248i
$535$	−11.9573	+	10.6371i	−0.516959	+	0.459883i
$536$	−38.8729	−	13.2893i	−1.67905	−	0.574010i
$537$	−21.7685	+	26.0799i	−0.939380	+	1.12543i
$538$	35.5925	−	2.30711i	1.53450	−	0.0994668i
$539$		−	43.8283i		−	1.88782i
$540$	−7.76452	−	21.9023i	−0.334132	−	0.942526i
$541$			30.1985i			1.29834i	0.760645	+	0.649168i	$0.224883\pi$
$541$			30.1985i			1.29834i	−0.760645	+	0.649168i	$0.775117\pi$
$542$	2.16724	+	33.4346i	0.0930909	+	1.43614i
$543$	−15.8604	+	19.0017i	−0.680636	+	0.815440i
$544$	15.5596	−	5.21937i	0.667113	−	0.223779i
$545$	−16.2290	−	18.2432i	−0.695173	−	0.781451i
$546$	−56.6522	−	41.3759i	−2.42449	−	1.77073i
$547$	13.0967	−	7.56137i	0.559973	−	0.323301i	−0.193161	−	0.981167i	$-0.561874\pi$
$547$	13.0967	−	7.56137i	0.559973	−	0.323301i	0.753135	+	0.657866i	$0.228541\pi$
$548$	20.6090	+	26.9384i	0.880373	+	1.15075i
$549$	6.83135	+	8.05596i	0.291555	+	0.343820i
$550$	−11.0510	−	21.6693i	−0.471215	−	0.923981i
$551$	−0.903732	−	1.56531i	−0.0385003	−	0.0666844i
$552$	−12.6987	−	20.9062i	−0.540491	−	0.889827i
$553$	−41.8311	−	24.1512i	−1.77884	−	1.02701i
$554$	8.52513	+	12.7787i	0.362198	+	0.542913i
$555$	11.7031	−	0.368763i	0.496768	−	0.0156531i
$556$	10.0355	−	24.1294i	0.425598	−	1.02331i
$557$			33.5757i			1.42265i	0.702865	+	0.711323i	$0.251904\pi$
$557$			33.5757i			1.42265i	−0.702865	+	0.711323i	$0.748096\pi$
$558$	2.54699	−	8.88606i	0.107823	−	0.376177i
$559$			15.4711i			0.654357i
$560$	39.6654	+	2.43230i	1.67617	+	0.102783i
$561$	17.0312	+	2.95750i	0.719059	+	0.124866i
$562$	−29.4626	+	19.6556i	−1.24281	+	0.829122i
$563$	−7.95097	+	13.7715i	−0.335094	+	0.580399i	−0.983503	−	0.180893i	$-0.942101\pi$
$563$	−7.95097	+	13.7715i	−0.335094	+	0.580399i	0.648409	+	0.761292i	$0.275435\pi$
$564$	−1.81232	−	0.0770290i	−0.0763125	−	0.00324351i
$565$	6.07059	+	29.4275i	0.255392	+	1.23802i
$566$	33.8902	+	16.7432i	1.42451	+	0.703767i
$567$	30.8975	+	25.3840i	1.29757	+	1.06603i
$568$	1.86362	−	0.366512i	0.0781956	−	0.0153785i
$569$	30.6625	−	17.7030i	1.28544	−	0.742148i	0.307601	−	0.951515i	$-0.400474\pi$
$569$	30.6625	−	17.7030i	1.28544	−	0.742148i	0.977837	+	0.209368i	$0.0671405\pi$
$570$	−9.40478	+	0.907818i	−0.393923	+	0.0380243i
$571$	−13.5162	+	23.4107i	−0.565634	+	0.979706i	0.431357	+	0.902181i	$0.358035\pi$
$571$	−13.5162	+	23.4107i	−0.565634	+	0.979706i	−0.996990	+	0.0775247i	$0.975298\pi$
$572$	−5.72528	−	43.9772i	−0.239386	−	1.83878i
$573$	−3.39761	+	19.5657i	−0.141937	+	0.817369i
$574$	−0.911106	−	14.0559i	−0.0380288	−	0.586681i
$575$	14.9155	−	20.0195i	0.622021	−	0.834872i
$576$	12.9128	+	20.2302i	0.538034	+	0.842923i
$577$		−	39.6149i		−	1.64919i	−0.565723	−	0.824596i	$-0.691403\pi$
$577$		−	39.6149i		−	1.64919i	0.565723	−	0.824596i	$-0.308597\pi$
$578$	12.1128	−	0.785156i	0.503827	−	0.0326582i
$579$	5.28663	+	14.4084i	0.219705	+	0.598793i
$580$	−4.60084	−	0.888188i	−0.191040	−	0.0368800i
$581$	−4.34640	+	7.52818i	−0.180319	+	0.312322i
$582$	27.1459	+	2.92143i	1.12523	+	0.121097i
$583$	2.38487	+	4.13072i	0.0987713	+	0.171077i
$584$	−6.30540	−	32.0612i	−0.260919	−	1.32670i
$585$	40.1054	−	16.1658i	1.65815	−	0.668374i
$586$	22.2104	+	10.9729i	0.917504	+	0.453284i
$587$	16.4029	+	28.4107i	0.677020	+	1.17263i	0.975874	+	0.218335i	$0.0700624\pi$
$587$	16.4029	+	28.4107i	0.677020	+	1.17263i	−0.298854	+	0.954299i	$0.596604\pi$
$588$	−39.1249	+	20.4246i	−1.61348	+	0.842298i
$589$	−3.25499	−	1.87927i	−0.134120	−	0.0774340i
$590$	−19.5046	+	5.35956i	−0.802991	+	0.220650i
$591$	13.0498	−	15.6344i	0.536797	−	0.643113i
$592$	−11.6898	+	3.09621i	−0.480448	+	0.127253i
$593$	3.01321			0.123738			0.0618689	−	0.998084i	$-0.480294\pi$
$593$	3.01321			0.123738			0.0618689	+	0.998084i	$0.480294\pi$
$594$	1.83156	+	25.2123i	0.0751499	+	1.03447i
$595$	−27.3587	−	9.07132i	−1.12160	−	0.371888i
$596$	−6.79410	+	16.3358i	−0.278297	+	0.669142i
$597$	−27.3361	+	32.7502i	−1.11879	+	1.34038i
$598$	37.8636	−	25.2602i	1.54836	−	1.03297i
$599$	6.12099	−	10.6019i	0.250097	−	0.433180i	−0.713455	−	0.700701i	$-0.752871\pi$
$599$	6.12099	−	10.6019i	0.250097	−	0.433180i	0.963552	+	0.267520i	$0.0862042\pi$
$600$	−14.1939	+	19.9633i	−0.579465	+	0.814997i
$601$	13.5824	+	23.5254i	0.554038	+	0.959622i	0.997978	+	0.0635651i	$0.0202470\pi$
$601$	13.5824	+	23.5254i	0.554038	+	0.959622i	−0.443940	+	0.896057i	$0.646420\pi$
$602$	13.5209	+	6.67988i	0.551071	+	0.272252i
$603$	−14.6903	+	41.0228i	−0.598235	+	1.67058i
$604$	−20.7236	+	15.8544i	−0.843232	+	0.645107i
$605$	0.376602	+	1.82559i	0.0153110	+	0.0742210i
$606$	−2.18553	+	20.3079i	−0.0887812	+	0.824953i
$607$	2.87905	−	4.98666i	0.116857	−	0.202402i	−0.801663	−	0.597776i	$-0.796051\pi$
$607$	2.87905	−	4.98666i	0.116857	−	0.202402i	0.918521	+	0.395373i	$0.129385\pi$
$608$	9.25172	−	3.10343i	0.375207	−	0.125861i
$609$	7.56980	−	2.77746i	0.306744	−	0.112548i
$610$	2.81312	−	10.7726i	0.113900	−	0.436169i
$611$		−	3.37540i		−	0.136554i
$612$	−5.29670	−	16.5818i	−0.214106	−	0.670279i
$613$	31.0299			1.25329			0.626643	−	0.779307i	$-0.284428\pi$
$613$	31.0299			1.25329			0.626643	+	0.779307i	$0.284428\pi$
$614$	1.99927	+	30.8433i	0.0806839	+	1.24473i
$615$	7.65178	+	4.10202i	0.308549	+	0.165410i
$616$	−40.9057	−	13.9843i	−1.64814	−	0.563442i
$617$	5.20064	−	9.00778i	0.209370	−	0.362640i	−0.742146	−	0.670238i	$-0.766192\pi$
$617$	5.20064	−	9.00778i	0.209370	−	0.362640i	0.951516	+	0.307598i	$0.0995253\pi$
$618$	11.6798	−	5.16542i	0.469831	−	0.207783i
$619$	−10.9667	−	18.9949i	−0.440790	−	0.763471i	0.556958	−	0.830541i	$-0.311968\pi$
$619$	−10.9667	−	18.9949i	−0.440790	−	0.763471i	−0.997748	+	0.0670697i	$0.978635\pi$
$620$	−9.20896	+	3.18412i	−0.369841	+	0.127877i
$621$	−22.3669	+	13.1468i	−0.897551	+	0.527564i
$622$	−0.469669	+	0.950669i	−0.0188320	+	0.0381183i
$623$	−9.36091	+	5.40452i	−0.375037	+	0.216528i
$624$	−36.5898	+	25.6049i	−1.46476	+	1.02502i
$625$	−24.3218	−	5.78344i	−0.972874	−	0.231338i
$626$	−18.7468	+	12.5067i	−0.749272	+	0.499868i
$627$	10.1267	+	1.75852i	0.404423	+	0.0702287i
$628$	4.60976	−	11.0838i	0.183949	−	0.442290i
$629$	8.77098			0.349722
$630$	3.18807	−	42.0298i	0.127016	−	1.67451i
$631$			21.1882i			0.843487i	0.906715	+	0.421744i	$0.138582\pi$
$631$			21.1882i			0.843487i	−0.906715	+	0.421744i	$0.861418\pi$
$632$	−23.1621	+	20.2243i	−0.921339	+	0.804478i
$633$	−29.6679	+	10.8856i	−1.17919	+	0.432662i
$634$	−31.8423	+	21.2432i	−1.26462	+	0.843675i
$635$	14.1702	−	12.6057i	0.562328	−	0.500242i
$636$	2.57605	−	4.05392i	0.102147	−	0.160749i
$637$	−41.0633	−	71.1237i	−1.62699	−	2.81802i
$638$	4.57002	+	2.25778i	0.180929	+	0.0893863i
$639$	−0.360115	−	1.98208i	−0.0142459	−	0.0784098i
$640$	9.63338	−	23.3923i	0.380793	−	0.924660i
$641$	−32.1022	+	18.5342i	−1.26796	+	0.732058i	−0.974602	−	0.223944i	$-0.928107\pi$
$641$	−32.1022	+	18.5342i	−1.26796	+	0.732058i	−0.293360	+	0.956002i	$0.594773\pi$
$642$	−14.1575	−	10.3399i	−0.558753	−	0.408085i
$643$	−1.11222	−	0.642142i	−0.0438618	−	0.0253236i	0.477909	−	0.878409i	$-0.341395\pi$
$643$	−1.11222	−	0.642142i	−0.0438618	−	0.0253236i	−0.521771	+	0.853086i	$0.674728\pi$
$644$	−5.72789	−	43.9972i	−0.225710	−	1.73373i
$645$	−7.89986	+	4.89904i	−0.311057	+	0.192899i
$646$	−7.06292	+	0.457820i	−0.277887	+	0.0180127i
$647$		−	20.7519i		−	0.815840i	−0.913018	−	0.407920i	$-0.866254\pi$
$647$		−	20.7519i		−	0.815840i	0.913018	−	0.407920i	$-0.133746\pi$
$648$	21.6532	−	13.3843i	0.850617	−	0.525786i
$649$	22.0040			0.863733
$650$	−38.2355	−	24.8107i	−1.49972	−	0.973156i
$651$	10.7444	−	12.8723i	0.421105	−	0.504507i
$652$	−0.396774	−	3.04771i	−0.0155389	−	0.119357i
$653$	−0.660974	−	0.381613i	−0.0258659	−	0.0149337i	0.487011	−	0.873396i	$-0.338087\pi$
$653$	−0.660974	−	0.381613i	−0.0258659	−	0.0149337i	−0.512877	+	0.858462i	$0.671420\pi$
$654$	15.7756	−	21.6000i	0.616874	−	0.844629i
$655$	−10.0146	+	2.06591i	−0.391303	+	0.0807219i
$656$	−8.65443	−	2.34569i	−0.337899	−	0.0915837i
$657$	−34.0992	+	6.19534i	−1.33034	+	0.241703i
$658$	−2.94992	−	1.45738i	−0.115000	−	0.0568146i
$659$	36.1360	−	20.8631i	1.40766	−	0.812711i	0.412496	−	0.910960i	$-0.364657\pi$
$659$	36.1360	−	20.8631i	1.40766	−	0.812711i	0.995162	+	0.0982481i	$0.0313239\pi$
$660$	20.6427	−	16.8492i	0.803518	−	0.655853i
$661$	6.19796	+	3.57839i	0.241073	+	0.139183i	0.615670	−	0.788004i	$-0.288886\pi$
$661$	6.19796	+	3.57839i	0.241073	+	0.139183i	−0.374597	+	0.927188i	$0.622219\pi$
$662$	8.67438	+	13.0024i	0.337139	+	0.505352i
$663$	30.4089	−	11.1574i	1.18098	−	0.433318i
$664$	3.63968	+	4.16839i	0.141247	+	0.161765i
$665$	−16.2674	−	5.39379i	−0.630824	−	0.209162i
$666$	3.10435	+	12.4451i	0.120291	+	0.482238i
$667$			5.23156i			0.202567i
$668$	19.9628	+	8.30258i	0.772385	+	0.321236i
$669$	−0.289422	+	1.66669i	−0.0111897	+	0.0644378i
$670$	44.2891	−	12.1700i	1.71104	−	0.470167i
$671$	−6.05582	+	10.4890i	−0.233782	+	0.404923i
$672$	6.57914	+	43.0329i	0.253796	+	1.66003i
$673$	−16.9451	+	9.78327i	−0.653187	+	0.377117i	−0.789676	−	0.613524i	$-0.789751\pi$
$673$	−16.9451	+	9.78327i	−0.653187	+	0.377117i	0.136489	+	0.990642i	$0.456418\pi$
$674$	−24.0968	−	11.9048i	−0.928173	−	0.458556i
$675$	20.9543	+	15.3596i	0.806531	+	0.591192i
$676$	−34.6957	−	45.3514i	−1.33445	−	1.74428i
$677$	10.7409	−	6.20128i	0.412807	−	0.238334i	−0.279188	−	0.960236i	$-0.590065\pi$
$677$	10.7409	−	6.20128i	0.412807	−	0.238334i	0.691995	+	0.721902i	$0.256732\pi$
$678$	−30.1025	+	13.3129i	−1.15608	+	0.511278i
$679$	42.8886	+	24.7617i	1.64591	+	0.950268i
$680$	−11.0982	+	14.6119i	−0.425597	+	0.560342i
$681$	3.99584	−	23.0107i	0.153121	−	0.881771i
$682$	10.5774	−	0.685633i	0.405031	−	0.0262542i
$683$	−3.77134			−0.144306			−0.0721531	−	0.997394i	$-0.522987\pi$
$683$	−3.77134			−0.144306			−0.0721531	+	0.997394i	$0.522987\pi$
$684$	−3.14941	−	9.85951i	−0.120421	−	0.376988i
$685$	−35.9942	−	11.9346i	−1.37527	−	0.455997i
$686$	−35.9961	+	2.33328i	−1.37434	+	0.0890850i
$687$	−5.57658	−	15.1986i	−0.212760	−	0.579865i
$688$	6.80808	−	6.76897i	0.259556	−	0.258065i
$689$	7.74026	+	4.46884i	0.294880	+	0.170249i
$690$	24.8882	+	11.3351i	0.947477	+	0.431520i
$691$	−12.2697	−	21.2518i	−0.466763	−	0.808457i	0.532516	−	0.846420i	$-0.321246\pi$
$691$	−12.2697	−	21.2518i	−0.466763	−	0.808457i	−0.999279	+	0.0379629i	$0.987913\pi$
$692$	−35.3128	+	27.0158i	−1.34239	+	1.02699i
$693$	−15.4585	+	43.1680i	−0.587220	+	1.63982i
$694$	22.6401	−	45.8263i	0.859406	−	1.73954i
$695$	5.90301	+	28.6151i	0.223914	+	1.08543i
$696$	−0.114212	−	5.13176i	−0.00432920	−	0.194519i
$697$	5.63223	+	3.25177i	0.213336	+	0.123170i
$698$	13.3146	−	8.88267i	0.503965	−	0.336214i
$699$	−23.0136	−	19.2091i	−0.870455	−	0.726556i
$700$	−38.1920	+	22.7034i	−1.44352	+	0.858109i
$701$	9.59102			0.362248			0.181124	−	0.983460i	$-0.442027\pi$
$701$	9.59102			0.362248			0.181124	+	0.983460i	$0.442027\pi$
$702$	26.5940	+	39.1981i	1.00373	+	1.47944i
$703$	5.21521			0.196695
$704$	−16.8473	+	21.7605i	−0.634957	+	0.820130i
$705$	1.72355	−	1.06885i	0.0649126	−	0.0402550i
$706$	−17.6604	−	26.4719i	−0.664657	−	0.996281i
$707$	−18.5243	+	32.0851i	−0.696679	+	1.20668i
$708$	−10.2542	−	19.6427i	−0.385377	−	0.738218i
$709$	28.1065	−	16.2273i	1.05556	−	0.609428i	0.131360	−	0.991335i	$-0.458066\pi$
$709$	28.1065	−	16.2273i	1.05556	−	0.609428i	0.924201	+	0.381906i	$0.124732\pi$
$710$	−1.49195	+	1.51107i	−0.0559919	+	0.0567094i
$711$	21.0935	+	24.8748i	0.791068	+	0.932878i
$712$	1.32783	+	6.75165i	0.0497625	+	0.253029i
$713$	5.43939	+	9.42131i	0.203707	+	0.352831i
$714$	3.37852	−	31.3932i	0.126438	−	1.17486i
$715$	32.9557	+	37.0458i	1.23247	+	1.38543i
$716$	5.06404	+	38.8981i	0.189252	+	1.45369i
$717$	36.4838	−	13.3864i	1.36251	−	0.499924i
$718$	−11.6897	+	0.757731i	−0.436256	+	0.0282783i
$719$	3.09937			0.115587			0.0577935	−	0.998329i	$-0.481593\pi$
$719$	3.09937			0.115587			0.0577935	+	0.998329i	$0.481593\pi$
$720$	−24.6609	−	10.5755i	−0.919056	−	0.394127i
$721$	23.1650			0.862710
$722$	22.6142	−	1.46586i	0.841613	−	0.0545535i
$723$	−3.72654	+	21.4599i	−0.138591	+	0.798102i
$724$	3.68964	+	28.3409i	0.137124	+	1.05328i
$725$	4.81119	−	2.07323i	0.178683	−	0.0769977i
$726$	−1.86747	+	0.825892i	−0.0693084	+	0.0306517i
$727$	14.2922	+	24.7548i	0.530069	+	0.918106i	0.999385	+	0.0350755i	$0.0111672\pi$
$727$	14.2922	+	24.7548i	0.530069	+	0.918106i	−0.469316	+	0.883030i	$0.655500\pi$
$728$	−79.4831	+	15.6317i	−2.94584	+	0.579351i
$729$	−13.8626	−	23.1696i	−0.513429	−	0.858132i
$730$	25.9961	+	25.6672i	0.962158	+	0.949984i
$731$	−6.03033	+	3.48161i	−0.223040	+	0.128772i
$732$	12.1855	+	0.517919i	0.450389	+	0.0191429i
$733$	7.45704	−	12.9160i	0.275432	−	0.477062i	−0.694812	−	0.719191i	$-0.744512\pi$
$733$	7.45704	−	12.9160i	0.275432	−	0.477062i	0.970244	+	0.242129i	$0.0778458\pi$
$734$	9.60607	+	14.3989i	0.354567	+	0.531475i
$735$	23.3143	−	43.4896i	0.859960	−	1.60414i
$736$	−27.6820	−	5.60999i	−1.02037	−	0.206787i
$737$	−49.9646			−1.84047
$738$	−2.62048	+	9.14246i	−0.0964613	+	0.336539i
$739$	34.3294			1.26283			0.631415	−	0.775445i	$-0.282475\pi$
$739$	34.3294			1.26283			0.631415	+	0.775445i	$0.282475\pi$
$740$	8.85699	−	10.2152i	0.325589	−	0.375520i
$741$	18.0811	−	6.63419i	0.664226	−	0.243713i
$742$	7.24750	−	4.83508i	0.266064	−	0.177501i
$743$	−3.91484	−	2.26023i	−0.143621	−	0.0829199i	0.426467	−	0.904503i	$-0.359758\pi$
$743$	−3.91484	−	2.26023i	−0.143621	−	0.0829199i	−0.570089	+	0.821583i	$0.693091\pi$
$744$	−5.54131	−	9.12283i	−0.203154	−	0.334459i
$745$	−3.99640	−	19.3727i	−0.146417	−	0.709762i
$746$	5.25401	−	10.6348i	0.192363	−	0.389366i
$747$	4.47662	−	3.79612i	0.163791	−	0.138893i
$748$	15.8530	−	12.1282i	0.579645	−	0.443452i
$749$	−15.8999	−	27.5394i	−0.580968	−	1.00627i
$750$	0.561294	−	27.3804i	0.0204955	−	0.999790i
$751$	−10.3164	−	5.95615i	−0.376449	−	0.217343i	0.299823	−	0.953995i	$-0.403072\pi$
$751$	−10.3164	−	5.95615i	−0.376449	−	0.217343i	−0.676272	+	0.736652i	$0.736406\pi$
$752$	−1.48535	+	1.47682i	−0.0541652	+	0.0538540i
$753$	19.3447	−	23.1760i	0.704959	−	0.844580i
$754$	9.53149	−	0.617834i	0.347116	−	0.0225002i
$755$	9.18121	−	27.6901i	0.334139	−	1.00775i
$756$	45.7394	−	6.31735i	1.66353	−	0.229760i
$757$	9.35259			0.339926			0.169963	−	0.985450i	$-0.445635\pi$
$757$	9.35259			0.339926			0.169963	+	0.985450i	$0.445635\pi$
$758$	−5.77423	+	0.374287i	−0.209729	+	0.0135947i
$759$	−22.8392	−	19.0635i	−0.829009	−	0.691961i
$760$	−6.59898	+	8.68824i	−0.239370	+	0.315156i
$761$	24.6852	+	14.2520i	0.894838	+	0.516635i	0.875522	−	0.483178i	$-0.160518\pi$
$761$	24.6852	+	14.2520i	0.894838	+	0.516635i	0.0193163	+	0.999813i	$0.493851\pi$
$762$	16.7776	+	12.2535i	0.607790	+	0.443899i
$763$	42.0166	−	24.2583i	1.52110	−	0.878209i
$764$	13.9331	+	18.2122i	0.504080	+	0.658893i
$765$	15.3264	+	11.9943i	0.554128	+	0.433656i
$766$	−12.6672	−	6.25810i	−0.457684	−	0.226114i
$767$	35.7077	−	20.6159i	1.28933	−	0.744396i
$768$	27.2764	+	4.89864i	0.984253	+	0.176764i
$769$	10.8746	−	18.8354i	0.392149	−	0.679221i	−0.600584	−	0.799562i	$-0.705065\pi$
$769$	10.8746	−	18.8354i	0.392149	−	0.679221i	0.992733	+	0.120340i	$0.0383986\pi$
$770$	46.6052	−	12.8064i	1.67953	−	0.461510i
$771$	−2.15375	+	0.790240i	−0.0775655	+	0.0284598i
$772$	16.3632	+	6.80547i	0.588923	+	0.244934i
$773$			6.91973i			0.248885i	0.992227	+	0.124443i	$0.0397143\pi$
$773$			6.91973i			0.248885i	−0.992227	+	0.124443i	$0.960286\pi$
$774$	−7.07439	−	7.32415i	−0.254284	−	0.263261i
$775$	6.50869	−	8.73592i	0.233799	−	0.313804i
$776$	23.7476	−	20.7355i	0.852490	−	0.744362i
$777$	−3.98052	+	22.9225i	−0.142800	+	0.822339i
$778$	−24.3846	−	36.5511i	−0.874231	−	1.31042i
$779$	3.34892	+	1.93350i	0.119987	+	0.0692747i
$780$	17.7125	−	46.6830i	0.634208	−	1.67152i
$781$	2.00051	−	1.15500i	0.0715840	−	0.0413290i
$782$	18.3668	+	9.07393i	0.656794	+	0.324483i
$783$	−5.44423	+	0.0424027i	−0.194561	+	0.00151535i
$784$	−13.3320	+	49.1883i	−0.476141	+	1.75673i
$785$	2.71154	+	13.1443i	0.0967788	+	0.469140i
$786$	−4.53057	−	10.2443i	−0.161600	−	0.365403i
$787$	8.18337	+	4.72467i	0.291706	+	0.168416i	0.638711	−	0.769447i	$-0.279468\pi$
$787$	8.18337	+	4.72467i	0.291706	+	0.168416i	−0.347005	+	0.937863i	$0.612801\pi$
$788$	−3.03580	−	23.3186i	−0.108146	−	0.830693i
$789$	−4.39158	−	0.762603i	−0.156344	−	0.0271494i
$790$	8.68621	−	33.2630i	0.309042	−	1.18345i
$791$	−59.7035			−2.12281
$792$	22.8196	+	18.2012i	0.810861	+	0.646752i
$793$			22.6951i			0.805928i
$794$	−26.9046	+	1.74396i	−0.954807	+	0.0618909i
$795$	0.169127	+	5.36743i	0.00599833	+	0.190363i
$796$	6.35925	+	48.8469i	0.225398	+	1.73133i
$797$	−7.63414	−	4.40757i	−0.270415	−	0.156124i	0.358661	−	0.933468i	$-0.383233\pi$
$797$	−7.63414	−	4.40757i	−0.270415	−	0.156124i	−0.629076	+	0.777344i	$0.716567\pi$
$798$	2.00886	−	18.6663i	0.0711130	−	0.660781i
$799$	1.31566	−	0.759599i	0.0465449	−	0.0268727i
$800$	5.81097	+	27.6809i	0.205449	+	0.978668i
$801$	7.18083	−	1.30465i	0.253722	−	0.0460976i
$802$	15.3271	+	7.57221i	0.541218	+	0.267384i
$803$	−19.8703	−	34.4164i	−0.701208	−	1.21453i
$804$	23.2843	+	44.6027i	0.821173	+	1.57302i
$805$	32.9707	+	37.0627i	1.16206	+	1.30629i
$806$	16.5225	−	11.0228i	0.581981	−	0.388261i
$807$	−33.5361	−	27.9921i	−1.18053	−	0.985367i
$808$	15.5123	+	17.7657i	0.545721	+	0.624994i
$809$			36.7458i			1.29191i	0.763375	+	0.645956i	$0.223541\pi$
$809$			36.7458i			1.29191i	−0.763375	+	0.645956i	$0.776459\pi$
$810$	−11.5942	+	25.9918i	−0.407378	+	0.913260i
$811$	−40.2672			−1.41397			−0.706986	−	0.707228i	$-0.749946\pi$
$811$	−40.2672			−1.41397			−0.706986	+	0.707228i	$0.749946\pi$
$812$	3.57542	−	8.59677i	0.125472	−	0.301688i
$813$	26.2950	−	31.5028i	0.922204	−	1.10485i
$814$	−12.2349	+	8.16233i	−0.428832	+	0.286090i
$815$	2.28389	+	2.56735i	0.0800013	+	0.0899303i
$816$	−18.2145	−	8.49986i	−0.637634	−	0.297555i
$817$	−3.58563	+	2.07016i	−0.125445	+	0.0724258i
$818$	21.4149	−	43.3463i	0.748753	−	1.51557i
$819$	15.3589	+	84.5356i	0.536683	+	2.95391i
$820$	9.47468	−	3.27600i	0.330870	−	0.114403i
$821$	−13.0871	−	22.6675i	−0.456743	−	0.791102i	0.542044	−	0.840350i	$-0.317651\pi$
$821$	−13.0871	−	22.6675i	−0.456743	−	0.791102i	−0.998787	+	0.0492486i	$0.984317\pi$
$822$	4.44491	−	41.3020i	0.155034	−	1.44057i
$823$	11.6368	−	20.1555i	0.405633	−	0.702577i	−0.588762	−	0.808306i	$-0.700385\pi$
$823$	11.6368	−	20.1555i	0.405633	−	0.702577i	0.994395	+	0.105730i	$0.0337179\pi$
$824$	4.77034	−	13.9538i	0.166183	−	0.486105i
$825$	−8.48071	+	28.5587i	−0.295261	+	0.994286i
$826$	−2.59980	−	40.1079i	−0.0904587	−	1.39553i
$827$	24.4553			0.850393			0.425197	−	0.905101i	$-0.360205\pi$
$827$	24.4553			0.850393			0.425197	+	0.905101i	$0.360205\pi$
$828$	−6.37434	+	29.2721i	−0.221523	+	1.01728i
$829$		−	17.8015i		−	0.618271i	−0.951018	−	0.309136i	$-0.899960\pi$
$829$		−	17.8015i		−	0.618271i	0.951018	−	0.309136i	$-0.100040\pi$
$830$	−5.98622	−	1.56322i	−0.207785	−	0.0542603i
$831$	3.21887	−	18.5364i	0.111661	−	0.643020i
$832$	−6.95179	+	51.0970i	−0.241010	+	1.77147i
$833$	18.4818	−	32.0113i	0.640355	−	1.10913i
$834$	−29.2715	+	12.9454i	−1.01359	+	0.448262i
$835$	−23.6740	+	4.88371i	−0.819272	+	0.169008i
$836$	9.42620	−	7.21143i	0.326012	−	0.249413i
$837$	−9.76022	+	5.73688i	−0.337363	+	0.198296i
$838$	5.23420	+	2.58591i	0.180813	+	0.0893288i
$839$	−6.54732	−	11.3403i	−0.226039	−	0.391511i	0.730592	−	0.682814i	$-0.239244\pi$
$839$	−6.54732	−	11.3403i	−0.226039	−	0.391511i	−0.956631	+	0.291304i	$0.905911\pi$
$840$	−33.1508	−	35.6359i	−1.14381	−	1.22955i
$841$	13.9511	−	24.1640i	0.481072	−	0.833241i
$842$	−11.5559	+	7.70938i	−0.398243	+	0.265683i
$843$	42.7376	+	7.42145i	1.47196	+	0.255608i
$844$	−14.0129	+	33.6929i	−0.482346	+	1.15976i
$845$	60.5969	+	20.0921i	2.08460	+	0.691189i
$846$	1.54345	+	1.59794i	0.0530650	+	0.0549384i
$847$	−3.70383			−0.127265
$848$	−1.42003	−	5.36134i	−0.0487639	−	0.184109i
$849$	−15.9470	−	43.4627i	−0.547301	−	1.49164i
$850$	1.06621	−	20.4869i	0.0365706	−	0.702694i
$851$	−13.0726	−	7.54750i	−0.448125	−	0.258725i
$852$	−1.96332	−	1.24758i	−0.0672622	−	0.0427415i
$853$	23.8247	+	41.2656i	0.815743	+	1.41291i	0.908793	+	0.417246i	$0.137005\pi$
$853$	23.8247	+	41.2656i	0.815743	+	1.41291i	−0.0930509	+	0.995661i	$0.529662\pi$
$854$	19.8343	+	9.79898i	0.678717	+	0.335314i
$855$	9.11307	+	7.13182i	0.311661	+	0.243903i
$856$	−19.8630	+	3.90641i	−0.678905	+	0.133518i
$857$	0.880471	+	1.52502i	0.0300763	+	0.0520937i	0.880672	−	0.473727i	$-0.157092\pi$
$857$	0.880471	+	1.52502i	0.0300763	+	0.0520937i	−0.850595	+	0.525821i	$0.823758\pi$
$858$	−32.0350	+	43.8625i	−1.09366	+	1.49744i
$859$	−4.91608	+	8.51489i	−0.167734	+	0.290524i	−0.937623	−	0.347654i	$-0.886978\pi$
$859$	−4.91608	+	8.51489i	−0.167734	+	0.290524i	0.769889	+	0.638178i	$0.220312\pi$
$860$	−2.03456	+	10.5391i	−0.0693778	+	0.359379i
$861$	−11.0544	+	13.2438i	−0.376732	+	0.451347i
$862$	−9.17561	+	0.594765i	−0.312523	+	0.0202578i
$863$			51.8077i			1.76355i	0.471667	+	0.881777i	$0.343652\pi$
$863$			51.8077i			1.76355i	−0.471667	+	0.881777i	$0.656348\pi$
$864$	5.61368	−	28.8528i	0.190981	−	0.981594i
$865$	15.6447	−	47.1837i	0.531935	−	1.60429i
$866$	−0.448073	−	6.91254i	−0.0152261	−	0.234898i
$867$	−11.4130	−	9.52624i	−0.387605	−	0.323528i
$868$	−2.49948	−	19.1991i	−0.0848378	−	0.651659i
$869$	−18.6989	+	32.3874i	−0.634316	+	1.09867i
$870$	3.33370	+	4.67134i	0.113023	+	0.158373i
$871$	−81.0817	+	46.8125i	−2.74735	+	1.58618i
$872$	−5.95999	−	30.3049i	−0.201831	−	1.02625i
$873$	−21.6267	−	25.5036i	−0.731954	−	0.863167i
$874$	10.9208	+	5.39535i	0.369403	+	0.182500i
$875$	21.0186	−	45.0091i	0.710557	−	1.52158i
$876$	−21.4632	+	33.7765i	−0.725173	+	1.14120i
$877$	−16.5425	+	28.6524i	−0.558600	+	0.967523i	0.439014	+	0.898480i	$0.355328\pi$
$877$	−16.5425	+	28.6524i	−0.558600	+	0.967523i	−0.997614	+	0.0690427i	$0.978006\pi$
$878$	7.34921	−	4.90293i	0.248024	−	0.165466i
$879$	−10.4511	−	28.4839i	−0.352507	−	0.960738i
$880$	1.88319	−	30.7106i	0.0634823	−	1.03526i
$881$			41.2175i			1.38865i	0.719660	+	0.694327i	$0.244298\pi$
$881$			41.2175i			1.38865i	−0.719660	+	0.694327i	$0.755702\pi$
$882$	51.9621	+	14.8938i	1.74966	+	0.501500i
$883$		−	11.3770i		−	0.382867i	−0.981506	−	0.191433i	$-0.938686\pi$
$883$		−	11.3770i		−	0.382867i	0.981506	−	0.191433i	$-0.0613136\pi$
$884$	14.3629	−	34.5344i	0.483078	−	1.16152i
$885$	21.8340	+	11.7050i	0.733943	+	0.393458i
$886$	11.0012	+	16.4901i	0.369592	+	0.553997i
$887$	33.1810	+	19.1571i	1.11411	+	0.643232i	0.939891	−	0.341475i	$-0.110926\pi$
$887$	33.1810	+	19.1571i	1.11411	+	0.643232i	0.174220	+	0.984707i	$0.444260\pi$
$888$	12.9880	+	7.11812i	0.435850	+	0.238869i
$889$	18.8424	+	32.6360i	0.631954	+	1.09458i
$890$	−5.47442	−	5.40515i	−0.183503	−	0.181181i
$891$	19.6534	−	23.9221i	0.658413	−	0.801422i
$892$	1.18687	+	1.55139i	0.0397395	+	0.0519443i
$893$	0.782292	−	0.451657i	0.0261784	−	0.0151141i
$894$	19.8171	−	8.76416i	0.662784	−	0.293117i
$895$	−29.1495	−	32.7672i	−0.974359	−	1.09529i
$896$	41.6546	+	28.1374i	1.39158	+	0.940006i
$897$	−54.9238	−	9.53760i	−1.83385	−	0.318451i
$898$	−2.51609	−	38.8165i	−0.0839631	−	1.29532i
$899$			2.28289i			0.0761387i
$900$	29.4461	−	5.73817i	0.981537	−	0.191272i
$901$			4.02267i			0.134015i
$902$	−10.8827	+	0.705417i	−0.362353	+	0.0234878i
$903$	−6.36227	−	17.3400i	−0.211723	−	0.577039i
$904$	−12.2946	+	35.9634i	−0.408914	+	1.19613i
$905$	−21.2381	−	23.8740i	−0.705980	−	0.793599i
$906$	31.7735	+	3.41945i	1.05560	+	0.113604i
$907$	−38.5617	+	22.2636i	−1.28042	+	0.739251i	−0.976925	−	0.213581i	$-0.931487\pi$
$907$	−38.5617	+	22.2636i	−1.28042	+	0.739251i	−0.303496	+	0.952833i	$0.598154\pi$
$908$	−16.3863	−	21.4188i	−0.543798	−	0.710809i
$909$	19.0793	−	16.1790i	0.632822	−	0.536625i
$910$	63.6316	−	64.4470i	2.10937	−	2.13640i
$911$	22.2854	+	38.5995i	0.738349	+	1.27886i	0.953238	+	0.302220i	$0.0977278\pi$
$911$	22.2854	+	38.5995i	0.738349	+	1.27886i	−0.214889	+	0.976639i	$0.568939\pi$
$912$	−10.8303	−	5.05400i	−0.358627	−	0.167355i
$913$	5.82864	+	3.36516i	0.192900	+	0.111371i
$914$	−33.4440	+	22.3117i	−1.10623	+	0.738007i
$915$	−11.5886	+	7.18659i	−0.383108	+	0.237581i
$916$	−17.2606	−	7.17872i	−0.570307	−	0.237192i
$917$		−	20.3180i		−	0.670958i
$918$	−9.29394	+	19.1870i	−0.306746	+	0.633264i
$919$		−	6.48928i		−	0.214062i	−0.994256	−	0.107031i	$-0.965866\pi$
$919$		−	6.48928i		−	0.214062i	0.994256	−	0.107031i	$-0.0341344\pi$
$920$	29.1149	−	12.2282i	0.959891	−	0.403151i
$921$	24.2570	−	29.0612i	0.799294	−	0.957600i
$922$	−23.1559	−	34.7093i	−0.762597	−	1.14309i
$923$	2.16426	−	3.74861i	0.0712376	−	0.123387i
$924$	24.5019	+	46.9352i	0.806054	+	1.54405i
$925$	−1.76044	+	15.0132i	−0.0578830	+	0.493632i
$926$	−17.7923	+	36.0137i	−0.584690	+	1.18348i
$927$	−14.7256	−	5.27324i	−0.483651	−	0.173196i
$928$	−4.44214	−	3.92403i	−0.145820	−	0.128813i
$929$	−1.60961	+	0.929307i	−0.0528095	+	0.0304896i	−0.526172	−	0.850378i	$-0.676373\pi$
$929$	−1.60961	+	0.929307i	−0.0528095	+	0.0304896i	0.473363	+	0.880868i	$0.343040\pi$
$930$	10.8605	+	4.94630i	0.356128	+	0.162195i
$931$	10.9892	−	19.0339i	0.360157	−	0.623811i
$932$	−34.3247	+	4.46865i	−1.12434	+	0.146376i
$933$	1.21919	−	0.447338i	0.0399146	−	0.0146452i
$934$	−26.5596	+	1.72160i	−0.869057	+	0.0563325i
$935$	−7.02340	+	21.1823i	−0.229690	+	0.692734i
$936$	54.0843	+	8.15659i	1.76780	+	0.266606i
$937$			16.0395i			0.523987i	0.965070	+	0.261993i	$0.0843799\pi$
$937$			16.0395i			0.523987i	−0.965070	+	0.261993i	$0.915620\pi$
$938$	5.90338	+	91.0731i	0.192752	+	2.97364i
$939$	27.1936	+	4.72220i	0.887428	+	0.154103i
$940$	0.443888	−	2.29935i	0.0144780	−	0.0749967i
$941$	6.86599	−	11.8922i	0.223825	−	0.387676i	−0.732141	−	0.681153i	$-0.761479\pi$
$941$	6.86599	−	11.8922i	0.223825	−	0.387676i	0.955966	+	0.293477i	$0.0948123\pi$
$942$	−13.4458	+	5.94643i	−0.438088	+	0.193745i
$943$	−5.59635	−	9.69316i	−0.182242	−	0.315653i
$944$	−24.6950	−	6.69332i	−0.803755	−	0.217849i
$945$	−38.3021	+	34.6114i	−1.24597	+	1.12591i
$946$	5.17185	−	10.4685i	0.168151	−	0.340359i
$947$	−2.83989	−	4.91884i	−0.0922841	−	0.159841i	0.816188	−	0.577787i	$-0.196083\pi$
$947$	−2.83989	−	4.91884i	−0.0922841	−	0.159841i	−0.908472	+	0.417946i	$0.862750\pi$
$948$	37.6258	+	1.59921i	1.22203	+	0.0519398i
$949$	−64.4903	−	37.2335i	−2.09344	−	1.20865i
$950$	0.633965	−	12.1815i	0.0205685	−	0.395219i
$951$	46.1895	+	8.02088i	1.49780	+	0.260095i
$952$	−23.9798	−	27.4632i	−0.777190	−	0.890088i
$953$	2.21764			0.0718365			0.0359183	−	0.999355i	$-0.488564\pi$
$953$	2.21764			0.0718365			0.0359183	+	0.999355i	$0.488564\pi$
$954$	−5.70775	+	1.42376i	−0.184795	+	0.0460960i
$955$	−24.3344	−	8.06856i	−0.787444	−	0.261093i
$956$	17.2323	−	41.4335i	0.557331	−	1.34005i
$957$	−2.15042	−	5.86086i	−0.0695134	−	0.189455i
$958$	24.7800	+	37.1437i	0.800604	+	1.20006i
$959$	37.6746	−	65.2543i	1.21658	−	2.10717i
$960$	−28.2926	+	12.6305i	−0.913139	+	0.407649i
$961$	−13.1264	−	22.7356i	−0.423433	−	0.733407i
$962$	−12.2071	+	24.7087i	−0.393573	+	0.796640i
$963$	3.83823	+	21.1257i	0.123685	+	0.680765i
$964$	15.2819	+	19.9753i	0.492198	+	0.643362i
$965$	−19.4051	+	4.00309i	−0.624674	+	0.128864i
$966$	−32.0496	+	43.8825i	−1.03118	+	1.41190i
$967$	5.83420	−	10.1051i	0.187615	−	0.324959i	−0.756840	−	0.653601i	$-0.773258\pi$
$967$	5.83420	−	10.1051i	0.187615	−	0.324959i	0.944455	+	0.328642i	$0.106591\pi$
$968$	−0.762724	+	2.23106i	−0.0245149	+	0.0717091i
$969$	6.65485	+	5.55470i	0.213784	+	0.178443i
$970$	−8.90579	+	34.1039i	−0.285948	+	1.09501i
$971$			7.63561i			0.245038i	0.992466	+	0.122519i	$0.0390973\pi$
$971$			7.63561i			0.245038i	−0.992466	+	0.122519i	$0.960903\pi$
$972$	−30.5137	−	6.39621i	−0.978729	−	0.205159i
$973$	−58.0553			−1.86117
$974$	36.7665	−	2.38321i	1.17807	−	0.0763630i
$975$	12.9947	+	54.2902i	0.416163	+	1.73868i
$976$	9.98704	−	9.92967i	0.319677	−	0.317841i
$977$	−4.06102	+	7.03389i	−0.129923	+	0.225034i	−0.923647	−	0.383245i	$-0.874807\pi$
$977$	−4.06102	+	7.03389i	−0.129923	+	0.225034i	0.793723	+	0.608279i	$0.208140\pi$
$978$	−2.22009	+	3.03976i	−0.0709906	+	0.0972008i
$979$	4.18441	+	7.24761i	0.133734	+	0.231635i
$980$	−18.6195	−	53.8503i	−0.594777	−	1.72018i
$981$	−32.2313	+	5.85596i	−1.02907	+	0.186966i
$982$	−23.3776	−	11.5495i	−0.746008	−	0.368559i
$983$	21.3682	−	12.3369i	0.681540	−	0.393487i	−0.118895	−	0.992907i	$-0.537935\pi$
$983$	21.3682	−	12.3369i	0.681540	−	0.393487i	0.800435	+	0.599420i	$0.204602\pi$
$984$	5.70120	+	9.38607i	0.181748	+	0.299217i
$985$	17.4745	+	19.6433i	0.556785	+	0.625888i
$986$	2.38579	+	3.57615i	0.0759789	+	0.113888i
$987$	1.38808	+	3.78314i	0.0441832	+	0.120419i
$988$	8.54018	−	20.5341i	0.271699	−	0.653277i
$989$	11.9838			0.381063
$990$	−32.5413	−	2.46834i	−1.03423	−	0.0784489i
$991$		−	2.72058i		−	0.0864221i	−0.999066	−	0.0432111i	$-0.986241\pi$
$991$		−	2.72058i		−	0.0864221i	0.999066	−	0.0432111i	$-0.0137588\pi$
$992$	−12.0796	−	2.44803i	−0.383528	−	0.0777251i
$993$	3.27522	−	18.8609i	0.103936	−	0.598532i
$994$	−2.34164	−	3.50997i	−0.0742722	−	0.111330i
$995$	−36.6049	−	41.1479i	−1.16045	−	1.30448i
$996$	0.287803	−	6.77136i	0.00911939	−	0.214559i
$997$	20.7291	+	35.9039i	0.656497	+	1.13709i	0.981516	+	0.191379i	$0.0612961\pi$
$997$	20.7291	+	35.9039i	0.656497	+	1.13709i	−0.325019	+	0.945708i	$0.605371\pi$
$998$	−5.34072	+	10.8103i	−0.169057	+	0.342193i
$999$	7.74837	−	13.6653i	0.245147	−	0.432350i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bd.b.59.1	✓	128
5.4	even	2	inner	360.2.bd.b.59.64	yes	128
8.3	odd	2	inner	360.2.bd.b.59.45	yes	128
9.2	odd	6	inner	360.2.bd.b.299.20	yes	128
40.19	odd	2	inner	360.2.bd.b.59.20	yes	128
45.29	odd	6	inner	360.2.bd.b.299.45	yes	128
72.11	even	6	inner	360.2.bd.b.299.64	yes	128
360.299	even	6	inner	360.2.bd.b.299.1	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bd.b.59.1	✓	128	1.1	even	1	trivial
360.2.bd.b.59.20	yes	128	40.19	odd	2	inner
360.2.bd.b.59.45	yes	128	8.3	odd	2	inner
360.2.bd.b.59.64	yes	128	5.4	even	2	inner
360.2.bd.b.299.1	yes	128	360.299	even	6	inner
360.2.bd.b.299.20	yes	128	9.2	odd	6	inner
360.2.bd.b.299.45	yes	128	45.29	odd	6	inner
360.2.bd.b.299.64	yes	128	72.11	even	6	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:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bd (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41125 + 0.0914777i) q^{2} +(1.32971 + 1.10989i) q^{3} +(1.98326 - 0.258196i) q^{4} +(-1.67067 + 1.48622i) q^{5} +(-1.97809 - 1.44470i) q^{6} +(-2.22153 - 3.84780i) q^{7} +(-2.77527 + 0.545804i) q^{8} +(0.536278 + 2.95168i) q^{9} +O(q^{10})\)	\(q+(-1.41125 + 0.0914777i) q^{2} +(1.32971 + 1.10989i) q^{3} +(1.98326 - 0.258196i) q^{4} +(-1.67067 + 1.48622i) q^{5} +(-1.97809 - 1.44470i) q^{6} +(-2.22153 - 3.84780i) q^{7} +(-2.77527 + 0.545804i) q^{8} +(0.536278 + 2.95168i) q^{9} +(2.22179 - 2.25026i) q^{10} +(-2.97913 + 1.72000i) q^{11} +(2.92374 + 1.85788i) q^{12} +(-3.22299 + 5.58238i) q^{13} +(3.48712 + 5.22700i) q^{14} +(-3.87106 + 0.121977i) q^{15} +(3.86667 - 1.02414i) q^{16} -2.90120 q^{17} +(-1.02684 - 4.11650i) q^{18} -1.72505 q^{19} +(-2.92965 + 3.37893i) q^{20} +(1.31665 - 7.58213i) q^{21} +(4.04696 - 2.69988i) q^{22} +(4.32408 + 2.49651i) q^{23} +(-4.29609 - 2.35448i) q^{24} +(0.582306 - 4.96598i) q^{25} +(4.03778 - 8.17297i) q^{26} +(-2.56295 + 4.52010i) q^{27} +(-5.39936 - 7.05761i) q^{28} +(0.523887 + 0.907399i) q^{29} +(5.45189 - 0.526256i) q^{30} +(1.88690 + 1.08940i) q^{31} +(-5.36316 + 1.79904i) q^{32} +(-5.87041 - 1.01940i) q^{33} +(4.09433 - 0.265395i) q^{34} +(9.43013 + 3.12674i) q^{35} +(1.82569 + 5.71549i) q^{36} -3.02322 q^{37} +(2.43448 - 0.157804i) q^{38} +(-10.4815 + 3.84579i) q^{39} +(3.82538 - 5.03651i) q^{40} +(-1.94134 - 1.12084i) q^{41} +(-1.16453 + 10.8207i) q^{42} +(2.07856 - 1.20006i) q^{43} +(-5.46430 + 4.18042i) q^{44} +(-5.28279 - 4.13427i) q^{45} +(-6.33074 - 3.12764i) q^{46} +(-0.453489 + 0.261822i) q^{47} +(6.27825 + 2.92977i) q^{48} +(-6.37038 + 11.0338i) q^{49} +(-0.367505 + 7.06151i) q^{50} +(-3.85777 - 3.22002i) q^{51} +(-4.95068 + 11.9035i) q^{52} -1.38655i q^{53} +(3.20348 - 6.61345i) q^{54} +(2.42086 - 7.30120i) q^{55} +(8.26548 + 9.46615i) q^{56} +(-2.29382 - 1.91462i) q^{57} +(-0.822344 - 1.23265i) q^{58} +(-5.53954 - 3.19826i) q^{59} +(-7.64584 + 1.24141i) q^{60} +(3.04912 - 1.76041i) q^{61} +(-2.76254 - 1.36481i) q^{62} +(10.1661 - 8.62073i) q^{63} +(7.40420 - 3.02950i) q^{64} +(-2.91207 - 14.1164i) q^{65} +(8.37788 + 0.901625i) q^{66} +(12.5787 + 7.26229i) q^{67} +(-5.75385 + 0.749079i) q^{68} +(2.97893 + 8.11890i) q^{69} +(-13.5943 - 3.54998i) q^{70} -0.671509 q^{71} +(-3.09935 - 7.89899i) q^{72} +11.5525i q^{73} +(4.26653 - 0.276557i) q^{74} +(6.28600 - 5.95703i) q^{75} +(-3.42123 + 0.445401i) q^{76} +(13.2364 + 7.64207i) q^{77} +(14.4402 - 6.38621i) q^{78} +(9.41493 - 5.43572i) q^{79} +(-4.93785 + 7.45773i) q^{80} +(-8.42481 + 3.16584i) q^{81} +(2.84226 + 1.40419i) q^{82} +(-0.978245 - 1.69437i) q^{83} +(0.653582 - 15.3773i) q^{84} +(4.84696 - 4.31182i) q^{85} +(-2.82360 + 1.88373i) q^{86} +(-0.310496 + 1.78804i) q^{87} +(7.32909 - 6.39948i) q^{88} -2.43279i q^{89} +(7.83353 + 5.35124i) q^{90} +28.6398 q^{91} +(9.22038 + 3.83477i) q^{92} +(1.29992 + 3.54284i) q^{93} +(0.616037 - 0.410981i) q^{94} +(2.88200 - 2.56380i) q^{95} +(-9.12820 - 3.56033i) q^{96} +(-9.65294 + 5.57313i) q^{97} +(7.98086 - 16.1542i) q^{98} +(-6.67453 - 7.87104i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 10 q^{4} + 4 q^{9}+O(q^{10}) \) 128 * q - 10 * q^4 + 4 * q^9	\( 128 q - 10 q^{4} + 4 q^{9} - 48 q^{11} - 30 q^{14} + 14 q^{16} + 24 q^{19} - 24 q^{20} - 10 q^{24} + 14 q^{25} + 26 q^{30} + 8 q^{36} + 12 q^{40} - 24 q^{41} - 36 q^{46} - 52 q^{49} - 42 q^{50} - 68 q^{51} - 62 q^{54} - 54 q^{56} - 24 q^{60} + 68 q^{64} - 18 q^{65} + 44 q^{66} - 60 q^{74} + 10 q^{75} + 24 q^{76} + 36 q^{81} + 94 q^{84} - 74 q^{90} + 88 q^{91} - 26 q^{94} - 22 q^{96} - 76 q^{99}+O(q^{100}) \) 128 * q - 10 * q^4 + 4 * q^9 - 48 * q^11 - 30 * q^14 + 14 * q^16 + 24 * q^19 - 24 * q^20 - 10 * q^24 + 14 * q^25 + 26 * q^30 + 8 * q^36 + 12 * q^40 - 24 * q^41 - 36 * q^46 - 52 * q^49 - 42 * q^50 - 68 * q^51 - 62 * q^54 - 54 * q^56 - 24 * q^60 + 68 * q^64 - 18 * q^65 + 44 * q^66 - 60 * q^74 + 10 * q^75 + 24 * q^76 + 36 * q^81 + 94 * q^84 - 74 * q^90 + 88 * q^91 - 26 * q^94 - 22 * q^96 - 76 * q^99

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