LMFDB - Embedded newform 296.2.q.a.85.12

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(85,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(6)) chi = DirichletCharacter(H, H._module([0, 3, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.85"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.q (of order $6$, degree $2$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			85.12
Character	$\chi$	$=$	296.85
Dual form			296.2.q.a.101.12

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.913372 - 1.07970i) q^{2} +(1.03067 + 0.595057i) q^{3} +(-0.331504 + 1.97233i) q^{4} +(1.89805 - 3.28751i) q^{5} +(-0.298901 - 1.65632i) q^{6} +(0.213384 - 0.369592i) q^{7} +(2.43232 - 1.44355i) q^{8} +(-0.791813 - 1.37146i) q^{9} +(-5.28315 + 0.953401i) q^{10} +5.01695i q^{11} +(-1.51532 + 1.83556i) q^{12} +(1.27662 - 2.21117i) q^{13} +(-0.593948 + 0.107184i) q^{14} +(3.91251 - 2.25889i) q^{15} +(-3.78021 - 1.30767i) q^{16} +(-1.96229 + 1.13293i) q^{17} +(-0.757546 + 2.10757i) q^{18} +(3.20006 - 5.54267i) q^{19} +(5.85486 + 4.83340i) q^{20} +(0.439857 - 0.253952i) q^{21} +(5.41680 - 4.58234i) q^{22} +2.97488i q^{23} +(3.36591 - 0.0404565i) q^{24} +(-4.70515 - 8.14956i) q^{25} +(-3.55343 + 0.641254i) q^{26} -5.45504i q^{27} +(0.658222 + 0.543386i) q^{28} +8.86178 q^{29} +(-6.01251 - 2.16113i) q^{30} +0.284019i q^{31} +(2.04084 + 5.27588i) q^{32} +(-2.98537 + 5.17082i) q^{33} +(3.01552 + 1.08390i) q^{34} +(-0.810025 - 1.40300i) q^{35} +(2.96747 - 1.10708i) q^{36} +(-6.05179 - 0.613070i) q^{37} +(-8.90727 + 1.60741i) q^{38} +(2.63154 - 1.51932i) q^{39} +(-0.129043 - 10.7362i) q^{40} +(-4.17825 + 7.23695i) q^{41} +(-0.675944 - 0.242961i) q^{42} -7.89769 q^{43} +(-9.89511 - 1.66314i) q^{44} -6.01159 q^{45} +(3.21197 - 2.71717i) q^{46} +2.01684 q^{47} +(-3.11801 - 3.59722i) q^{48} +(3.40893 + 5.90445i) q^{49} +(-4.50153 + 12.5237i) q^{50} -2.69663 q^{51} +(3.93796 + 3.25093i) q^{52} +(5.23310 - 3.02133i) q^{53} +(-5.88981 + 4.98248i) q^{54} +(16.4933 + 9.52240i) q^{55} +(-0.0145075 - 1.20700i) q^{56} +(6.59642 - 3.80844i) q^{57} +(-8.09410 - 9.56806i) q^{58} +(2.68998 + 4.65918i) q^{59} +(3.15828 + 8.46562i) q^{60} +(-2.82477 + 4.89264i) q^{61} +(0.306655 - 0.259415i) q^{62} -0.675842 q^{63} +(3.83232 - 7.02234i) q^{64} +(-4.84616 - 8.39380i) q^{65} +(8.30969 - 1.49957i) q^{66} +(10.9562 + 6.32555i) q^{67} +(-1.58401 - 4.24586i) q^{68} +(-1.77022 + 3.06611i) q^{69} +(-0.774970 + 2.15605i) q^{70} +(-4.28852 + 7.42793i) q^{71} +(-3.90571 - 2.19280i) q^{72} -4.78445 q^{73} +(4.86560 + 7.09408i) q^{74} -11.1993i q^{75} +(9.87117 + 8.14901i) q^{76} +(1.85423 + 1.07054i) q^{77} +(-4.04399 - 1.45357i) q^{78} +(4.67103 + 2.69682i) q^{79} +(-11.4740 + 9.94546i) q^{80} +(0.870623 - 1.50796i) q^{81} +(11.6300 - 2.09876i) q^{82} +(-10.4077 + 6.00888i) q^{83} +(0.355063 + 0.951731i) q^{84} +8.60140i q^{85} +(7.21353 + 8.52713i) q^{86} +(9.13357 + 5.27327i) q^{87} +(7.24223 + 12.2028i) q^{88} +(-9.89138 + 5.71079i) q^{89} +(5.49082 + 6.49071i) q^{90} +(-0.544820 - 0.943656i) q^{91} +(-5.86745 - 0.986182i) q^{92} +(-0.169008 + 0.292730i) q^{93} +(-1.84212 - 2.17758i) q^{94} +(-12.1477 - 21.0405i) q^{95} +(-1.03602 + 6.65211i) q^{96} +2.39634i q^{97} +(3.26141 - 9.07358i) q^{98} +(6.88056 - 3.97249i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) $ 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$1$

Coefficient data

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

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

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

$2$	−0.913372	−	1.07970i	−0.645851	−	0.763463i
$2$	−0.913372	−	1.07970i	−0.645851	−	0.763463i
$3$	1.03067	+	0.595057i	0.595057	+	0.343557i	0.767095	−	0.641534i	$-0.221702\pi$
$3$	1.03067	+	0.595057i	0.595057	+	0.343557i	−0.172037	+	0.985090i	$0.555035\pi$
$4$	−0.331504	+	1.97233i	−0.165752	+	0.986167i
$5$	1.89805	−	3.28751i	0.848832	−	1.47022i	−0.0334201	−	0.999441i	$-0.510640\pi$
$5$	1.89805	−	3.28751i	0.848832	−	1.47022i	0.882252	−	0.470778i	$-0.156027\pi$
$6$	−0.298901	−	1.65632i	−0.122026	−	0.676191i
$7$	0.213384	−	0.369592i	0.0806516	−	0.139693i	−0.822878	−	0.568218i	$-0.807633\pi$
$7$	0.213384	−	0.369592i	0.0806516	−	0.139693i	0.903530	+	0.428525i	$0.140967\pi$
$8$	2.43232	−	1.44355i	0.859954	−	0.510372i
$9$	−0.791813	−	1.37146i	−0.263938	−	0.457154i
$10$	−5.28315	+	0.953401i	−1.67068	+	0.301492i
$11$			5.01695i			1.51267i	0.654186	+	0.756334i	$0.273012\pi$
$11$			5.01695i			1.51267i	−0.654186	+	0.756334i	$0.726988\pi$
$12$	−1.51532	+	1.83556i	−0.437436	+	0.529881i
$13$	1.27662	−	2.21117i	0.354070	−	0.613268i	−0.632888	−	0.774243i	$-0.718131\pi$
$13$	1.27662	−	2.21117i	0.354070	−	0.613268i	0.986958	+	0.160975i	$0.0514640\pi$
$14$	−0.593948	+	0.107184i	−0.158739	+	0.0286462i
$15$	3.91251	−	2.25889i	1.01021	−	0.583243i
$16$	−3.78021	−	1.30767i	−0.945053	−	0.326918i
$17$	−1.96229	+	1.13293i	−0.475925	+	0.274776i	−0.718717	−	0.695303i	$-0.755270\pi$
$17$	−1.96229	+	1.13293i	−0.475925	+	0.274776i	0.242792	+	0.970078i	$0.421937\pi$
$18$	−0.757546	+	2.10757i	−0.178555	+	0.496760i
$19$	3.20006	−	5.54267i	0.734145	−	1.27158i	−0.220953	−	0.975285i	$-0.570917\pi$
$19$	3.20006	−	5.54267i	0.734145	−	1.27158i	0.955097	−	0.296292i	$-0.0957501\pi$
$20$	5.85486	+	4.83340i	1.30919	+	1.08078i
$21$	0.439857	−	0.253952i	0.0959847	−	0.0554168i
$22$	5.41680	−	4.58234i	1.15487	−	0.976959i
$23$			2.97488i			0.620304i	0.950687	+	0.310152i	$0.100380\pi$
$23$			2.97488i			0.620304i	−0.950687	+	0.310152i	$0.899620\pi$
$24$	3.36591	−	0.0404565i	0.687063	−	0.00825814i
$25$	−4.70515	−	8.14956i	−0.941030	−	1.62991i
$26$	−3.55343	+	0.641254i	−0.696884	+	0.125760i
$27$		−	5.45504i		−	1.04982i
$28$	0.658222	+	0.543386i	0.124392	+	0.102690i
$29$	8.86178			1.64559			0.822796	−	0.568337i	$-0.192413\pi$
$29$	8.86178			1.64559			0.822796	+	0.568337i	$0.192413\pi$
$30$	−6.01251	−	2.16113i	−1.09773	−	0.394567i
$31$			0.284019i			0.0510113i	0.999675	+	0.0255057i	$0.00811958\pi$
$31$			0.284019i			0.0510113i	−0.999675	+	0.0255057i	$0.991880\pi$
$32$	2.04084	+	5.27588i	0.360774	+	0.932653i
$33$	−2.98537	+	5.17082i	−0.519687	+	0.900124i
$34$	3.01552	+	1.08390i	0.517158	+	0.185887i
$35$	−0.810025	−	1.40300i	−0.136919	−	0.237151i
$36$	2.96747	−	1.10708i	0.494578	−	0.184513i
$37$	−6.05179	−	0.613070i	−0.994908	−	0.100788i
$37$	−6.05179	−	0.613070i	−0.994908	−	0.100788i
$38$	−8.90727	+	1.60741i	−1.44495	+	0.260757i
$39$	2.63154	−	1.51932i	0.421384	−	0.243286i
$40$	−0.129043	−	10.7362i	−0.0204035	−	1.69754i
$41$	−4.17825	+	7.23695i	−0.652534	+	1.13022i	0.329972	+	0.943991i	$0.392961\pi$
$41$	−4.17825	+	7.23695i	−0.652534	+	1.13022i	−0.982506	+	0.186231i	$0.940373\pi$
$42$	−0.675944	−	0.242961i	−0.104300	−	0.0374897i
$43$	−7.89769			−1.20439			−0.602193	−	0.798350i	$-0.705706\pi$
$43$	−7.89769			−1.20439			−0.602193	+	0.798350i	$0.705706\pi$
$44$	−9.89511	−	1.66314i	−1.49174	−	0.250727i
$45$	−6.01159			−0.896155
$46$	3.21197	−	2.71717i	0.473580	−	0.400625i
$47$	2.01684			0.294186			0.147093	−	0.989123i	$-0.453008\pi$
$47$	2.01684			0.294186			0.147093	+	0.989123i	$0.453008\pi$
$48$	−3.11801	−	3.59722i	−0.450046	−	0.519214i
$49$	3.40893	+	5.90445i	0.486991	+	0.843493i
$50$	−4.50153	+	12.5237i	−0.636612	+	1.77112i
$51$	−2.69663			−0.377604
$52$	3.93796	+	3.25093i	0.546097	+	0.450823i
$53$	5.23310	−	3.02133i	0.718821	−	0.415012i	−0.0954974	−	0.995430i	$-0.530444\pi$
$53$	5.23310	−	3.02133i	0.718821	−	0.415012i	0.814319	+	0.580418i	$0.197111\pi$
$54$	−5.88981	+	4.98248i	−0.801501	+	0.678030i
$55$	16.4933	+	9.52240i	2.22395	+	1.28400i
$56$	−0.0145075	−	1.20700i	−0.00193864	−	0.161292i
$57$	6.59642	−	3.80844i	0.873717	−	0.504441i
$58$	−8.09410	−	9.56806i	−1.06281	−	1.25635i
$59$	2.68998	+	4.65918i	0.350205	+	0.606573i	0.986285	−	0.165050i	$-0.0527785\pi$
$59$	2.68998	+	4.65918i	0.350205	+	0.606573i	−0.636080	+	0.771623i	$0.719445\pi$
$60$	3.15828	+	8.46562i	0.407732	+	1.09291i
$61$	−2.82477	+	4.89264i	−0.361675	+	0.626439i	−0.988237	−	0.152933i	$-0.951128\pi$
$61$	−2.82477	+	4.89264i	−0.361675	+	0.626439i	0.626562	+	0.779372i	$0.284462\pi$
$62$	0.306655	−	0.259415i	0.0389453	−	0.0329457i
$63$	−0.675842			−0.0851480
$64$	3.83232	−	7.02234i	0.479040	−	0.877793i
$65$	−4.84616	−	8.39380i	−0.601092	−	1.04112i
$66$	8.30969	−	1.49957i	1.02285	−	0.184585i
$67$	10.9562	+	6.32555i	1.33851	+	0.772790i	0.986587	−	0.163239i	$-0.0521942\pi$
$67$	10.9562	+	6.32555i	1.33851	+	0.772790i	0.351924	+	0.936029i	$0.385527\pi$
$68$	−1.58401	−	4.24586i	−0.192089	−	0.514887i
$69$	−1.77022	+	3.06611i	−0.213110	+	0.369117i
$70$	−0.774970	+	2.15605i	−0.0926266	+	0.257697i
$71$	−4.28852	+	7.42793i	−0.508953	+	0.881533i	0.490993	+	0.871163i	$0.336634\pi$
$71$	−4.28852	+	7.42793i	−0.508953	+	0.881533i	−0.999946	+	0.0103692i	$0.996699\pi$
$72$	−3.90571	−	2.19280i	−0.460293	−	0.258424i
$73$	−4.78445			−0.559978			−0.279989	−	0.960003i	$-0.590331\pi$
$73$	−4.78445			−0.559978			−0.279989	+	0.960003i	$0.590331\pi$
$74$	4.86560	+	7.09408i	0.565615	+	0.824670i
$75$		−	11.1993i		−	1.29319i
$76$	9.87117	+	8.14901i	1.13230	+	0.934756i
$77$	1.85423	+	1.07054i	0.211309	+	0.121999i
$78$	−4.04399	−	1.45357i	−0.457892	−	0.164585i
$79$	4.67103	+	2.69682i	0.525532	+	0.303416i	0.739195	−	0.673491i	$-0.235206\pi$
$79$	4.67103	+	2.69682i	0.525532	+	0.303416i	−0.213663	+	0.976907i	$0.568539\pi$
$80$	−11.4740	+	9.94546i	−1.28283	+	1.11194i
$81$	0.870623	−	1.50796i	0.0967358	−	0.167551i
$82$	11.6300	−	2.09876i	1.28432	−	0.231770i
$83$	−10.4077	+	6.00888i	−1.14239	+	0.659560i	−0.947022	−	0.321170i	$-0.895924\pi$
$83$	−10.4077	+	6.00888i	−1.14239	+	0.659560i	−0.195370	+	0.980730i	$0.562591\pi$
$84$	0.355063	+	0.951731i	0.0387406	+	0.103842i
$85$			8.60140i			0.932953i
$86$	7.21353	+	8.52713i	0.777855	+	0.919505i
$87$	9.13357	+	5.27327i	0.979221	+	0.565354i
$88$	7.24223	+	12.2028i	0.772024	+	1.30082i
$89$	−9.89138	+	5.71079i	−1.04848	+	0.605343i	−0.922225	−	0.386654i	$-0.873631\pi$
$89$	−9.89138	+	5.71079i	−1.04848	+	0.605343i	−0.126260	+	0.991997i	$0.540297\pi$
$90$	5.49082	+	6.49071i	0.578783	+	0.684181i
$91$	−0.544820	−	0.943656i	−0.0571127	−	0.0989221i
$92$	−5.86745	−	0.986182i	−0.611724	−	0.102817i
$93$	−0.169008	+	0.292730i	−0.0175253	+	0.0303547i
$94$	−1.84212	−	2.17758i	−0.190000	−	0.224600i
$95$	−12.1477	−	21.0405i	−1.24633	−	2.15871i
$96$	−1.03602	+	6.65211i	−0.105738	+	0.678928i
$97$			2.39634i			0.243311i	0.992572	+	0.121656i	$0.0388204\pi$
$97$			2.39634i			0.243311i	−0.992572	+	0.121656i	$0.961180\pi$
$98$	3.26141	−	9.07358i	0.329452	−	0.916570i
$99$	6.88056	−	3.97249i	0.691522	−	0.399250i
$100$	17.6334	−	6.57852i	1.76334	−	0.657852i
$101$			5.41079i			0.538394i	0.963085	+	0.269197i	$0.0867583\pi$
$101$			5.41079i			0.538394i	−0.963085	+	0.269197i	$0.913242\pi$
$102$	2.46303	+	2.91155i	0.243876	+	0.288287i
$103$			4.06263i			0.400303i	0.979765	+	0.200152i	$0.0641435\pi$
$103$			4.06263i			0.400303i	−0.979765	+	0.200152i	$0.935857\pi$
$104$	−0.0867941	−	7.22112i	−0.00851086	−	0.708090i
$105$		−	1.92805i		−	0.188158i
$106$	−8.04189	−	2.89058i	−0.781098	−	0.280758i
$107$	4.35758	+	2.51585i	0.421263	+	0.243217i	0.695618	−	0.718412i	$-0.255131\pi$
$107$	4.35758	+	2.51585i	0.421263	+	0.243217i	−0.274354	+	0.961629i	$0.588464\pi$
$108$	10.7592	+	1.80837i	1.03530	+	0.174010i
$109$	−7.71267	−	13.3587i	−0.738739	−	1.27953i	−0.953063	−	0.302771i	$-0.902088\pi$
$109$	−7.71267	−	13.3587i	−0.738739	−	1.27953i	0.214324	−	0.976763i	$-0.431245\pi$
$110$	−4.78317	−	26.5053i	−0.456057	−	2.52718i
$111$	−5.87258	−	4.23303i	−0.557401	−	0.401782i
$112$	−1.28994	+	1.11810i	−0.121888	+	0.105650i
$113$	3.32630	−	1.92044i	0.312912	−	0.180660i	−0.335317	−	0.942105i	$-0.608843\pi$
$113$	3.32630	−	1.92044i	0.312912	−	0.180660i	0.648229	+	0.761446i	$0.275510\pi$
$114$	−10.1370	−	3.64363i	−0.949413	−	0.341257i
$115$	9.77993	+	5.64645i	0.911984	+	0.526534i
$116$	−2.93771	+	17.4784i	−0.272760	+	1.62283i
$117$	−4.04338			−0.373810
$118$	2.57356	−	7.15993i	0.236916	−	0.659125i
$119$			0.966996i			0.0886444i
$120$	6.25565	−	11.1423i	0.571060	−	1.01714i
$121$	−14.1698			−1.28816
$122$	7.86265	−	1.41890i	0.711851	−	0.128461i
$123$	−8.61280	+	4.97260i	−0.776590	+	0.448364i
$124$	−0.560181	−	0.0941533i	−0.0503057	−	0.00845522i
$125$	−16.7419			−1.49744
$126$	0.617295	+	0.729706i	0.0549930	+	0.0650074i
$127$	−5.14882	−	8.91801i	−0.456884	−	0.791346i	0.541911	−	0.840436i	$-0.317701\pi$
$127$	−5.14882	−	8.91801i	−0.456884	−	0.791346i	−0.998794	+	0.0490904i	$0.984368\pi$
$128$	−11.0824	+	2.27625i	−0.979551	+	0.201194i
$129$	−8.13991	−	4.69958i	−0.716679	−	0.413775i
$130$	−4.63643	+	12.8991i	−0.406642	+	1.13132i
$131$	4.30960	+	7.46445i	0.376532	+	0.652172i	0.990555	−	0.137116i	$-0.0437833\pi$
$131$	4.30960	+	7.46445i	0.376532	+	0.652172i	−0.614023	+	0.789288i	$0.710450\pi$
$132$	−9.20893	−	7.60230i	−0.801534	−	0.661696i
$133$	−1.36569	−	2.36544i	−0.118420	−	0.205109i
$134$	−3.17737	−	17.6070i	−0.274483	−	1.52101i
$135$	−17.9335	−	10.3539i	−1.54347	−	0.891123i
$136$	−3.13747	+	5.58831i	−0.269036	+	0.479193i
$137$	11.6222			0.992952			0.496476	−	0.868051i	$-0.334627\pi$
$137$	11.6222			0.992952			0.496476	+	0.868051i	$0.334627\pi$
$138$	4.92735	−	0.889194i	0.419444	−	0.0756932i
$139$	−18.7411	+	10.8202i	−1.58960	+	0.917754i	−0.596223	+	0.802819i	$0.703333\pi$
$139$	−18.7411	+	10.8202i	−1.58960	+	0.917754i	−0.993373	+	0.114935i	$0.963334\pi$
$140$	3.03572	−	1.13254i	0.256565	−	0.0957171i
$141$	2.07869	+	1.20013i	0.175057	+	0.101069i
$142$	11.9369	−	2.15415i	1.00173	−	0.180772i
$143$	11.0933	+	6.40474i	0.927671	+	0.535591i
$144$	1.19980	+	6.21984i	0.0999833	+	0.518320i
$145$	16.8201	−	29.1332i	1.39683	−	2.41938i
$146$	4.36999	+	5.16578i	0.361663	+	0.427523i
$147$			8.11405i			0.669235i
$148$	3.21537	−	11.7329i	0.264302	−	0.964440i
$149$		−	19.9351i		−	1.63315i	−0.577241	−	0.816574i	$-0.695871\pi$
$149$		−	19.9351i		−	1.63315i	0.577241	−	0.816574i	$-0.304129\pi$
$150$	−12.0919	+	10.2292i	−0.987301	+	0.835207i
$151$	0.659829	−	1.14286i	0.0536961	−	0.0930044i	−0.837928	−	0.545781i	$-0.816233\pi$
$151$	0.659829	−	1.14286i	0.0536961	−	0.0930044i	0.891624	+	0.452776i	$0.149566\pi$
$152$	−0.217564	−	18.1010i	−0.0176468	−	1.46818i
$153$	3.10754	+	1.79414i	0.251229	+	0.145047i
$154$	−0.537738	−	2.97981i	−0.0433322	−	0.240120i
$155$	0.933715	+	0.539081i	0.0749978	+	0.0433000i
$156$	2.12425	+	5.69395i	0.170076	+	0.455881i
$157$	−0.690561	+	0.398695i	−0.0551128	+	0.0318194i	−0.527303	−	0.849677i	$-0.676797\pi$
$157$	−0.690561	+	0.398695i	−0.0551128	+	0.0318194i	0.472190	+	0.881497i	$0.343463\pi$
$158$	−1.35463	−	7.50652i	−0.107769	−	0.597187i
$159$	7.19146			0.570320
$160$	21.2181	+	3.30457i	1.67744	+	0.261249i
$161$	1.09949	+	0.634791i	0.0866520	+	0.0500285i
$162$	−2.42335	+	0.437319i	−0.190396	+	0.0343591i
$163$	−0.587958	−	1.01837i	−0.0460524	−	0.0797651i	0.842080	−	0.539352i	$-0.181331\pi$
$163$	−0.587958	−	1.01837i	−0.0460524	−	0.0797651i	−0.888133	+	0.459587i	$0.847997\pi$
$164$	−12.8886	−	10.6400i	−1.00643	−	0.830844i
$165$	11.3328	+	19.6289i	0.882253	+	1.52811i
$166$	15.9939	+	5.74883i	1.24136	+	0.446196i
$167$	−0.795728	−	0.459414i	−0.0615753	−	0.0355505i	0.468896	−	0.883253i	$-0.344652\pi$
$167$	−0.795728	−	0.459414i	−0.0615753	−	0.0355505i	−0.530472	+	0.847703i	$0.677985\pi$
$168$	0.703279	−	1.25265i	0.0542592	−	0.0966438i
$169$	3.24049	+	5.61269i	0.249268	+	0.431745i
$170$	9.28693	−	7.85628i	0.712275	−	0.602549i
$171$	−10.1354			−0.775074
$172$	2.61811	−	15.5769i	0.199629	−	1.18773i
$173$	15.3956	−	8.88863i	1.17050	−	0.675790i	0.216704	−	0.976237i	$-0.430469\pi$
$173$	15.3956	−	8.88863i	1.17050	−	0.675790i	0.953798	+	0.300448i	$0.0971361\pi$
$174$	−2.64880	−	14.6780i	−0.200805	−	1.11273i
$175$	−4.01602			−0.303582
$176$	6.56053	−	18.9651i	0.494519	−	1.42955i
$177$			6.40276i			0.481261i
$178$	15.2005	+	5.46365i	1.13932	+	0.409518i
$179$	8.33094			0.622684			0.311342	−	0.950298i	$-0.399222\pi$
$179$	8.33094			0.622684			0.311342	+	0.950298i	$0.399222\pi$
$180$	1.99286	−	11.8569i	0.148539	−	0.883759i
$181$	2.29381	+	1.32433i	0.170498	+	0.0984370i	0.582821	−	0.812601i	$-0.301949\pi$
$181$	2.29381	+	1.32433i	0.170498	+	0.0984370i	−0.412323	+	0.911038i	$0.635282\pi$
$182$	−0.521242	+	1.45015i	−0.0386370	+	0.107492i
$183$	−5.82281	+	3.36180i	−0.430434	+	0.248511i
$184$	4.29438	+	7.23584i	0.316586	+	0.533433i
$185$	−13.5020	+	18.7317i	−0.992690	+	1.37718i
$186$	0.470427	−	0.0848936i	0.0344934	−	0.00622470i
$187$	−5.68385	−	9.84472i	−0.415644	−	0.719917i
$188$	−0.668588	+	3.97788i	−0.0487618	+	0.290116i
$189$	−2.01614	−	1.16402i	−0.146653	−	0.0846699i
$190$	−11.6220	+	32.3337i	−0.843150	+	2.34573i
$191$		−	4.08292i		−	0.295430i	−0.989030	−	0.147715i	$-0.952808\pi$
$191$		−	4.08292i		−	0.295430i	0.989030	−	0.147715i	$-0.0471918\pi$
$192$	8.12855	−	4.95726i	0.586628	−	0.357760i
$193$		−	24.2788i		−	1.74762i	−0.486264	−	0.873812i	$-0.661641\pi$
$193$		−	24.2788i		−	1.74762i	0.486264	−	0.873812i	$-0.338359\pi$
$194$	2.58733	−	2.18875i	0.185759	−	0.157143i
$195$		−	11.5350i		−	0.826037i
$196$	−12.7756	+	4.76621i	−0.912544	+	0.340444i
$197$	−8.37198	+	4.83356i	−0.596479	+	0.344377i	−0.767655	−	0.640863i	$-0.778577\pi$
$197$	−8.37198	+	4.83356i	−0.596479	+	0.344377i	0.171176	+	0.985240i	$0.445243\pi$
$198$	−10.5736	−	3.80057i	−0.751433	−	0.270095i
$199$		−	6.22007i		−	0.440929i	−0.975395	−	0.220465i	$-0.929243\pi$
$199$		−	6.22007i		−	0.440929i	0.975395	−	0.220465i	$-0.0707573\pi$
$200$	−23.2087	−	13.0302i	−1.64110	−	0.921373i
$201$	7.52814	+	13.0391i	0.530994	+	0.919708i
$202$	5.84203	−	4.94206i	0.411044	−	0.347722i
$203$	1.89096	−	3.27524i	0.132720	−	0.229877i
$204$	0.893943	−	5.31866i	0.0625885	−	0.372381i
$205$	15.8610	+	27.4721i	1.10778	+	1.91874i
$206$	4.38642	−	3.71069i	0.305617	−	0.258536i
$207$	4.07993	−	2.35555i	0.283574	−	0.163722i
$208$	−7.71737	+	6.68928i	−0.535103	+	0.463818i
$209$	27.8073	+	16.0546i	1.92347	+	1.11052i
$210$	−2.08171	+	1.76102i	−0.143652	+	0.121522i
$211$		−	8.16336i		−	0.561989i	−0.959709	−	0.280995i	$-0.909336\pi$
$211$		−	8.16336i		−	0.561989i	0.959709	−	0.280995i	$-0.0906643\pi$
$212$	4.22428	+	11.3230i	0.290125	+	0.777667i
$213$	−8.84008	+	5.10382i	−0.605713	+	0.349708i
$214$	−1.26373	−	7.00279i	−0.0863867	−	0.478701i
$215$	−14.9902	+	25.9637i	−1.02232	+	1.77071i
$216$	−7.87463	−	13.2684i	−0.535801	−	0.902799i
$217$	0.104971	+	0.0606051i	0.00712591	+	0.00411414i
$218$	−7.37889	+	20.5288i	−0.499761	+	1.39039i
$219$	−4.93119	−	2.84703i	−0.333219	−	0.192384i
$220$	−24.2490	+	29.3736i	−1.63486	+	1.98037i
$221$			5.78527i			0.389160i
$222$	0.793445	+	10.2070i	0.0532525	+	0.685046i
$223$	−7.08841			−0.474675			−0.237337	−	0.971427i	$-0.576275\pi$
$223$	−7.08841			−0.474675			−0.237337	+	0.971427i	$0.576275\pi$
$224$	2.38541	+	0.371510i	0.159382	+	0.0248225i
$225$	−7.45120	+	12.9059i	−0.496747	+	0.860391i
$226$	−5.11165	−	1.83733i	−0.340022	−	0.122217i
$227$	6.23792	−	10.8044i	0.414025	−	0.717113i	−0.581300	−	0.813689i	$-0.697456\pi$
$227$	6.23792	−	10.8044i	0.414025	−	0.717113i	0.995326	+	0.0965761i	$0.0307891\pi$
$228$	5.32479	+	14.2729i	0.352643	+	0.945243i
$229$	4.55067	+	2.62733i	0.300716	+	0.173619i	0.642765	−	0.766064i	$-0.277787\pi$
$229$	4.55067	+	2.62733i	0.300716	+	0.173619i	−0.342048	+	0.939682i	$0.611121\pi$
$230$	−2.83625	−	15.7167i	−0.187017	−	1.03633i
$231$	1.27406	+	2.20674i	0.0838272	+	0.145193i
$232$	21.5547	−	12.7924i	1.41513	−	0.839864i
$233$	12.4536			0.815861			0.407931	−	0.913013i	$-0.366251\pi$
$233$	12.4536			0.815861			0.407931	+	0.913013i	$0.366251\pi$
$234$	3.69311	+	4.36563i	0.241426	+	0.285390i
$235$	3.82805	−	6.63037i	0.249714	−	0.432518i
$236$	−10.0812	+	3.76100i	−0.656230	+	0.244820i
$237$	3.20953	+	5.55907i	0.208481	+	0.361100i
$238$	1.04407	−	0.883227i	0.0676767	−	0.0572511i
$239$	−22.7951	+	13.1608i	−1.47449	+	0.851298i	−0.999587	−	0.0287388i	$-0.990851\pi$
$239$	−22.7951	+	13.1608i	−1.47449	+	0.851298i	−0.474905	+	0.880037i	$0.657518\pi$
$240$	−17.7440	+	3.42280i	−1.14537	+	0.220941i
$241$	12.3723	+	7.14314i	0.796968	+	0.460130i	0.842410	−	0.538837i	$-0.181136\pi$
$241$	12.3723	+	7.14314i	0.796968	+	0.460130i	−0.0454417	+	0.998967i	$0.514470\pi$
$242$	12.9423	+	15.2991i	0.831963	+	0.983466i
$243$	−12.3780	+	7.14642i	−0.794047	+	0.458443i
$244$	−8.71351	−	7.19332i	−0.557826	−	0.460505i
$245$	25.8812			1.65349
$246$	13.2356	+	4.75740i	0.843871	+	0.303321i
$247$	−8.17052	−	14.1518i	−0.519878	−	0.900455i
$248$	0.409996	+	0.690824i	0.0260348	+	0.0438674i
$249$	−14.3025			−0.906385
$250$	15.2916	+	18.0762i	0.967125	+	1.14324i
$251$	−7.93287			−0.500718			−0.250359	−	0.968153i	$-0.580549\pi$
$251$	−7.93287			−0.500718			−0.250359	+	0.968153i	$0.580549\pi$
$252$	0.224044	−	1.33299i	0.0141134	−	0.0839702i
$253$	−14.9248			−0.938315
$254$	−4.92599	+	13.7046i	−0.309084	+	0.859905i
$255$	−5.11833	+	8.86520i	−0.320522	+	0.555160i
$256$	12.5800	+	9.88655i	0.786249	+	0.617910i
$257$	0.633271	−	0.365619i	0.0395024	−	0.0228067i	−0.480119	−	0.877204i	$-0.659406\pi$
$257$	0.633271	−	0.365619i	0.0395024	−	0.0228067i	0.519621	+	0.854397i	$0.326073\pi$
$258$	2.36063	+	13.0811i	0.146966	+	0.814395i
$259$	−1.51794	+	2.10587i	−0.0943203	+	0.130853i
$260$	18.1619	−	6.77568i	1.12635	−	0.420210i
$261$	−7.01688	−	12.1536i	−0.434334	−	0.752288i
$262$	4.12310	−	11.4709i	0.254726	−	0.708674i
$263$	13.9848	−	24.2223i	0.862338	−	1.49361i	−0.00732770	−	0.999973i	$-0.502333\pi$
$263$	13.9848	−	24.2223i	0.862338	−	1.49361i	0.869666	−	0.493641i	$-0.164334\pi$
$264$	0.202968	+	16.8866i	0.0124918	+	1.03930i
$265$		−	22.9385i		−	1.40910i
$266$	−1.30658	+	3.63505i	−0.0801117	+	0.222879i
$267$	−13.5930			−0.831878
$268$	−16.1081	+	19.5123i	−0.983961	+	1.19190i
$269$			7.77440i			0.474014i	0.971508	+	0.237007i	$0.0761664\pi$
$269$			7.77440i			0.474014i	−0.971508	+	0.237007i	$0.923834\pi$
$270$	5.20084	+	28.8198i	0.316513	+	1.75392i
$271$	−9.35939	−	16.2109i	−0.568543	−	0.984745i	−0.996710	−	0.0810455i	$-0.974174\pi$
$271$	−9.35939	−	16.2109i	−0.568543	−	0.984745i	0.428168	−	0.903699i	$-0.359159\pi$
$272$	8.89937	−	1.71668i	0.539604	−	0.104089i
$273$		−	1.29680i		−	0.0784857i
$274$	−10.6154	−	12.5485i	−0.641299	−	0.758082i
$275$	40.8860	−	23.6055i	2.46552	−	1.42347i
$276$	−5.46057	−	4.50790i	−0.328688	−	0.271344i
$277$	14.9708	−	25.9301i	0.899507	−	1.55799i	0.0713808	−	0.997449i	$-0.477259\pi$
$277$	14.9708	−	25.9301i	0.899507	−	1.55799i	0.828126	−	0.560542i	$-0.189407\pi$
$278$	28.8001	+	10.3519i	1.72731	+	0.620865i
$279$	0.389521	−	0.224890i	0.0233200	−	0.0134638i
$280$	−3.99555	−	2.24324i	−0.238780	−	0.134059i
$281$	−8.39994	+	4.84971i	−0.501099	+	0.289309i	−0.729167	−	0.684336i	$-0.760092\pi$
$281$	−8.39994	+	4.84971i	−0.501099	+	0.289309i	0.228069	+	0.973645i	$0.426759\pi$
$282$	−0.602835	−	3.34053i	−0.0358983	−	0.198926i
$283$	8.71005	−	15.0862i	0.517758	−	0.896784i	−0.482029	−	0.876155i	$-0.660100\pi$
$283$	8.71005	−	15.0862i	0.517758	−	0.896784i	0.999787	−	0.0206286i	$-0.00656675\pi$
$284$	−13.2287	−	10.9208i	−0.784979	−	0.648029i
$285$		−	28.9144i		−	1.71274i
$286$	−3.21714	−	17.8274i	−0.190234	−	1.05415i
$287$	1.78315	+	3.08850i	0.105256	+	0.182308i
$288$	5.61970	−	6.97645i	0.331144	−	0.411092i
$289$	−5.93295	+	10.2762i	−0.348997	+	0.604480i
$290$	−46.8181	+	8.44883i	−2.74925	+	0.496132i
$291$	−1.42596	+	2.46983i	−0.0835912	+	0.144784i
$292$	1.58606	−	9.43655i	0.0928174	−	0.552232i
$293$	−9.21758	−	5.32177i	−0.538497	−	0.310901i	0.205973	−	0.978558i	$-0.433964\pi$
$293$	−9.21758	−	5.32177i	−0.538497	−	0.310901i	−0.744470	+	0.667656i	$0.767298\pi$
$294$	8.76073	−	7.41114i	0.510936	−	0.432227i
$295$	20.4228			1.18906
$296$	−15.6049	+	7.24488i	−0.907014	+	0.421100i
$297$	27.3677			1.58803
$298$	−21.5239	+	18.2082i	−1.24685	+	1.05477i
$299$	6.57795	+	3.79778i	0.380413	+	0.219631i
$300$	22.0888	+	3.71262i	1.27530	+	0.214348i
$301$	−1.68524	+	2.91892i	−0.0971357	+	0.168244i
$302$	−1.83661	+	0.331436i	−0.105685	+	0.0190720i
$303$	−3.21973	+	5.57674i	−0.184969	+	0.320375i
$304$	−19.3449	+	16.7678i	−1.10951	+	0.961701i
$305$	10.7231	+	18.5729i	0.614002	+	1.06348i
$306$	−0.901207	−	4.99392i	−0.0515185	−	0.285483i
$307$			19.6128i			1.11936i	0.828709	+	0.559680i	$0.189076\pi$
$307$			19.6128i			1.11936i	−0.828709	+	0.559680i	$0.810924\pi$
$308$	−2.72614	+	3.30227i	−0.155336	+	0.188164i
$309$	−2.41750	+	4.18723i	−0.137527	+	0.238203i
$310$	−0.270784	−	1.50051i	−0.0153795	−	0.0852235i
$311$	−11.5797	+	6.68556i	−0.656626	+	0.379103i	−0.790990	−	0.611829i	$-0.790434\pi$
$311$	−11.5797	+	6.68556i	−0.656626	+	0.379103i	0.134364	+	0.990932i	$0.457101\pi$
$312$	4.20753	−	7.49424i	0.238204	−	0.424278i
$313$	16.2902	−	9.40513i	0.920774	−	0.531609i	0.0368924	−	0.999319i	$-0.488254\pi$
$313$	16.2902	−	9.40513i	0.920774	−	0.531609i	0.883882	+	0.467710i	$0.154921\pi$
$314$	1.06121	+	0.381441i	0.0598876	+	0.0215260i
$315$	−1.28278	+	2.22184i	−0.0722763	+	0.125186i
$316$	−6.86750	+	8.31884i	−0.386327	+	0.467971i
$317$	−1.03008	+	0.594719i	−0.0578552	+	0.0334027i	−0.528649	−	0.848841i	$-0.677301\pi$
$317$	−1.03008	+	0.594719i	−0.0578552	+	0.0334027i	0.470793	+	0.882244i	$0.343968\pi$
$318$	−6.56848	−	7.76462i	−0.368342	−	0.435418i
$319$			44.4591i			2.48923i
$320$	−15.8121	−	25.9275i	−0.883924	−	1.44939i
$321$	2.99415	+	5.18602i	0.167117	+	0.289456i
$322$	−0.318860	−	1.76692i	−0.0177694	−	0.0984666i
$323$			14.5018i			0.806900i
$324$	2.68559	+	2.21705i	0.149200	+	0.123170i
$325$	−24.0267			−1.33276
$326$	−0.562513	+	1.56497i	−0.0311547	+	0.0866758i
$327$		−	18.3579i		−	1.01519i
$328$	0.284069	+	23.6341i	0.0156851	+	1.30497i
$329$	0.430361	−	0.745406i	0.0237265	−	0.0410956i
$330$	10.8423	−	30.1645i	0.596849	−	1.66050i
$331$	−6.03836	−	10.4587i	−0.331898	−	0.574865i	0.650986	−	0.759090i	$-0.274356\pi$
$331$	−6.03836	−	10.4587i	−0.331898	−	0.574865i	−0.982884	+	0.184225i	$0.941022\pi$
$332$	−8.40133	−	22.5194i	−0.461083	−	1.23591i
$333$	3.95109	+	8.78523i	0.216518	+	0.481428i
$334$	0.230767	+	1.27876i	0.0126270	+	0.0699708i
$335$	41.5907	−	24.0124i	2.27234	−	1.31194i
$336$	−1.99484	+	0.384801i	−0.108827	+	0.0209926i
$337$	5.72219	−	9.91113i	0.311708	−	0.539894i	−0.667024	−	0.745036i	$-0.732432\pi$
$337$	5.72219	−	9.91113i	0.311708	−	0.539894i	0.978732	+	0.205142i	$0.0657657\pi$
$338$	3.10025	−	8.62523i	0.168631	−	0.469151i
$339$	4.57109			0.248268
$340$	−16.9648	−	2.85139i	−0.920048	−	0.154639i
$341$	−1.42491			−0.0771632
$342$	9.25740	+	10.9432i	0.500583	+	0.591741i
$343$	5.89703			0.318410
$344$	−19.2097	+	11.4007i	−1.03572	+	0.614685i
$345$	6.71992	+	11.6392i	0.361788	+	0.626636i
$346$	−23.6589	−	8.50395i	−1.27191	−	0.457175i
$347$	−12.4825			−0.670094			−0.335047	−	0.942201i	$-0.608752\pi$
$347$	−12.4825			−0.670094			−0.335047	+	0.942201i	$0.608752\pi$
$348$	−13.4285	+	16.2664i	−0.719841	+	0.871968i
$349$	27.1204	−	15.6580i	1.45172	−	0.838152i	0.453143	−	0.891438i	$-0.350303\pi$
$349$	27.1204	−	15.6580i	1.45172	−	0.838152i	0.998579	+	0.0532860i	$0.0169695\pi$
$350$	3.66812	+	4.33609i	0.196069	+	0.231774i
$351$	−12.0620	−	6.96401i	−0.643823	−	0.371711i
$352$	−26.4689	+	10.2388i	−1.41079	+	0.545731i
$353$	4.49580	−	2.59565i	0.239287	−	0.138153i	−0.375562	−	0.926797i	$-0.622550\pi$
$353$	4.49580	−	2.59565i	0.239287	−	0.138153i	0.614849	+	0.788645i	$0.289217\pi$
$354$	6.91306	−	5.84810i	0.367425	−	0.310823i
$355$	16.2796	+	28.1971i	0.864031	+	1.49655i
$356$	−7.98457	−	21.4023i	−0.423181	−	1.13432i
$357$	−0.575418	+	0.996653i	−0.0304543	+	0.0527485i
$358$	−7.60925	−	8.99492i	−0.402161	−	0.475396i
$359$	−23.7552			−1.25375			−0.626876	−	0.779119i	$-0.715667\pi$
$359$	−23.7552			−1.25375			−0.626876	+	0.779119i	$0.715667\pi$
$360$	−14.6221	+	8.67804i	−0.770652	+	0.457373i
$361$	−10.9808	−	19.0193i	−0.577938	−	1.00102i
$362$	−0.665222	−	3.68624i	−0.0349633	−	0.193745i
$363$	−14.6044	−	8.43185i	−0.766532	−	0.442557i
$364$	2.04182	−	0.761743i	0.107020	−	0.0399262i
$365$	−9.08111	+	15.7289i	−0.475327	+	0.823291i
$366$	8.94812	+	3.21631i	0.467726	+	0.168119i
$367$	−17.5385	+	30.3775i	−0.915501	+	1.58569i	−0.109334	+	0.994005i	$0.534872\pi$
$367$	−17.5385	+	30.3775i	−0.915501	+	1.58569i	−0.806167	+	0.591688i	$0.798462\pi$
$368$	3.89016	−	11.2457i	0.202789	−	0.586220i
$369$	13.2336			0.688913
$370$	32.5570	−	2.53084i	1.69256	−	0.131572i
$371$		−	2.57882i		−	0.133885i
$372$	−0.521335	−	0.430381i	−0.0270299	−	0.0223142i
$373$	−24.4329	−	14.1063i	−1.26509	−	0.730398i	−0.291032	−	0.956713i	$-0.593999\pi$
$373$	−24.4329	−	14.1063i	−1.26509	−	0.730398i	−0.974054	+	0.226316i	$0.927332\pi$
$374$	−5.43787	+	15.1287i	−0.281186	+	0.782288i
$375$	−17.2554	−	9.96239i	−0.891063	−	0.514456i
$376$	4.90558	−	2.91140i	0.252986	−	0.150144i
$377$	11.3131	−	19.5949i	0.582655	−	1.00919i
$378$	0.584695	+	3.24001i	0.0300734	+	0.166648i
$379$	6.51732	−	3.76278i	0.334772	−	0.193281i	−0.323186	−	0.946336i	$-0.604754\pi$
$379$	6.51732	−	3.76278i	0.334772	−	0.193281i	0.657958	+	0.753055i	$0.271420\pi$
$380$	45.5259	−	16.9844i	2.33543	−	0.871281i
$381$		−	12.2554i		−	0.627861i
$382$	−4.40833	+	3.72923i	−0.225550	+	0.190804i
$383$	11.7019	+	6.75608i	0.597938	+	0.345220i	0.768230	−	0.640174i	$-0.221138\pi$
$383$	11.7019	+	6.75608i	0.597938	+	0.345220i	−0.170292	+	0.985394i	$0.554471\pi$
$384$	−12.7768	−	4.24857i	−0.652011	−	0.216809i
$385$	7.03881	−	4.06386i	0.358731	−	0.207113i
$386$	−26.2138	+	22.1755i	−1.33425	+	1.12871i
$387$	6.25350	+	10.8314i	0.317883	+	0.550590i
$388$	−4.72638	−	0.794395i	−0.239946	−	0.0403293i
$389$	−12.1713	+	21.0813i	−0.617110	+	1.06887i	0.372901	+	0.927871i	$0.378363\pi$
$389$	−12.1713	+	21.0813i	−0.617110	+	1.06887i	−0.990010	+	0.140994i	$0.954970\pi$
$390$	−12.4543	+	10.5357i	−0.630648	+	0.533497i
$391$	−3.37032	−	5.83757i	−0.170444	−	0.295219i
$392$	16.8150	+	9.44051i	0.849285	+	0.476818i
$393$			10.2578i			0.517440i
$394$	12.8655	+	4.62438i	0.648156	+	0.232973i
$395$	17.7317	−	10.2374i	0.892177	−	0.515099i
$396$	5.55415	+	14.8877i	0.279107	+	0.748133i
$397$		−	37.9459i		−	1.90445i	−0.305395	−	0.952226i	$-0.598789\pi$
$397$		−	37.9459i		−	1.90445i	0.305395	−	0.952226i	$-0.401211\pi$
$398$	−6.71581	+	5.68124i	−0.336633	+	0.284775i
$399$		−	3.25064i		−	0.162736i
$400$	7.12951	+	36.9598i	0.356475	+	1.84799i
$401$			12.9699i			0.647685i	0.946111	+	0.323843i	$0.104975\pi$
$401$			12.9699i			0.647685i	−0.946111	+	0.323843i	$0.895025\pi$
$402$	7.20234	−	20.0377i	0.359220	−	0.999389i
$403$	0.628014	+	0.362584i	0.0312836	+	0.0180616i
$404$	−10.6719	−	1.79370i	−0.530947	−	0.0892398i
$405$	−3.30496	−	5.72436i	−0.164225	−	0.284446i
$406$	−5.26343	+	0.949843i	−0.261220	+	0.0471399i
$407$	3.07574	−	30.3615i	0.152459	−	1.50497i
$408$	−6.55906	+	3.89272i	−0.324722	+	0.192718i
$409$	−28.6468	+	16.5392i	−1.41649	+	0.817811i	−0.995989	−	0.0894801i	$-0.971479\pi$
$409$	−28.6468	+	16.5392i	−1.41649	+	0.817811i	−0.420502	+	0.907292i	$0.638146\pi$
$410$	15.1746	−	42.2174i	0.749421	−	2.08497i
$411$	11.9786	+	6.91588i	0.590863	+	0.341135i
$412$	−8.01287	−	1.34678i	−0.394766	−	0.0663510i
$413$	2.29599			0.112978
$414$	−6.26977	−	2.25361i	−0.308143	−	0.110759i
$415$			45.6205i			2.23942i
$416$	14.2712	+	2.22264i	0.699706	+	0.108974i
$417$	−25.7545			−1.26120
$418$	−8.06431	−	44.6874i	−0.394439	−	2.18573i
$419$	26.9463	−	15.5574i	1.31641	−	0.760031i	0.333263	−	0.942834i	$-0.391850\pi$
$419$	26.9463	−	15.5574i	1.31641	−	0.760031i	0.983150	+	0.182803i	$0.0585170\pi$
$420$	3.80275	+	0.639154i	0.185555	+	0.0311875i
$421$	22.9118			1.11665			0.558327	−	0.829621i	$-0.311444\pi$
$421$	22.9118			1.11665			0.558327	+	0.829621i	$0.311444\pi$
$422$	−8.81398	+	7.45619i	−0.429058	+	0.362961i
$423$	−1.59696	−	2.76601i	−0.0776467	−	0.134488i
$424$	8.36710	−	14.9031i	0.406342	−	0.723757i
$425$	18.4657	+	10.6612i	0.895720	+	0.517144i
$426$	13.5849	+	4.88295i	0.658190	+	0.236580i
$427$	1.20552	+	2.08803i	0.0583393	+	0.101047i
$428$	−6.40666	+	7.76060i	−0.309677	+	0.375123i
$429$	7.62237	+	13.2023i	0.368012	+	0.637415i
$430$	41.7246	−	7.52966i	2.01214	−	0.363113i
$431$	9.41345	+	5.43486i	0.453430	+	0.261788i	0.709278	−	0.704929i	$-0.249021\pi$
$431$	9.41345	+	5.43486i	0.453430	+	0.261788i	−0.255848	+	0.966717i	$0.582355\pi$
$432$	−7.13341	+	20.6212i	−0.343206	+	0.992138i
$433$	−33.2508			−1.59793			−0.798966	−	0.601376i	$-0.794619\pi$
$433$	−33.2508			−1.59793			−0.798966	+	0.601376i	$0.794619\pi$
$434$	−0.0304424	−	0.168692i	−0.00146128	−	0.00809749i
$435$	34.6719	−	20.0178i	1.66239	−	0.959780i
$436$	28.9047	−	10.7835i	1.38428	−	0.516436i
$437$	16.4888	+	9.51979i	0.788764	+	0.455393i
$438$	1.43008	+	7.92460i	0.0683318	+	0.378652i
$439$	−11.2077	−	6.47079i	−0.534916	−	0.308834i	0.208100	−	0.978108i	$-0.433272\pi$
$439$	−11.2077	−	6.47079i	−0.534916	−	0.308834i	−0.743016	+	0.669274i	$0.766605\pi$
$440$	53.8630	−	0.647404i	2.56782	−	0.0308638i
$441$	5.39848	−	9.35044i	0.257070	−	0.445259i
$442$	6.24636	−	5.28410i	0.297109	−	0.251339i
$443$			1.77080i			0.0841332i	0.999115	+	0.0420666i	$0.0133942\pi$
$443$			1.77080i			0.0841332i	−0.999115	+	0.0420666i	$0.986606\pi$
$444$	10.2957	−	10.1794i	0.488614	−	0.483095i
$445$			43.3574i			2.05534i
$446$	6.47435	+	7.65335i	0.306569	+	0.362397i
$447$	11.8625	−	20.5465i	0.561079	−	0.971817i
$448$	−1.77765	−	2.91485i	−0.0839859	−	0.137714i
$449$	−14.8682	−	8.58415i	−0.701673	−	0.405111i	0.106297	−	0.994334i	$-0.466101\pi$
$449$	−14.8682	−	8.58415i	−0.701673	−	0.405111i	−0.807970	+	0.589223i	$0.799434\pi$
$450$	20.7402	−	3.74279i	0.977701	−	0.176437i
$451$	−36.3074	−	20.9621i	−1.70965	−	0.987067i
$452$	2.68507	+	7.19721i	0.126295	+	0.338528i
$453$	1.36013	−	0.785272i	0.0639045	−	0.0368953i
$454$	−17.3631	+	3.13335i	−0.814888	+	0.147055i
$455$	−4.13637			−0.193916
$456$	10.5469	−	18.7856i	0.493903	−	0.879716i
$457$	−18.3049	−	10.5684i	−0.856268	−	0.494367i	0.00649254	−	0.999979i	$-0.497933\pi$
$457$	−18.3049	−	10.5684i	−0.856268	−	0.494367i	−0.862761	+	0.505612i	$0.831267\pi$
$458$	−1.31972	−	7.31308i	−0.0616667	−	0.341718i
$459$	6.18017	+	10.7044i	0.288466	+	0.499637i
$460$	−14.3788	+	17.4175i	−0.670414	+	0.812095i
$461$	−2.42205	−	4.19511i	−0.112806	−	0.195386i	0.804095	−	0.594501i	$-0.202650\pi$
$461$	−2.42205	−	4.19511i	−0.112806	−	0.195386i	−0.916901	+	0.399116i	$0.869317\pi$
$462$	1.21893	−	3.39118i	0.0567095	−	0.157772i
$463$	29.1589	+	16.8349i	1.35513	+	0.782383i	0.988962	−	0.148166i	$-0.0473372\pi$
$463$	29.1589	+	16.8349i	1.35513	+	0.782383i	0.366165	+	0.930550i	$0.380670\pi$
$464$	−33.4994	−	11.5883i	−1.55517	−	0.537974i
$465$	0.641568	+	1.11123i	0.0297520	+	0.0515320i
$466$	−11.3748	−	13.4461i	−0.526925	−	0.622880i
$467$	−3.33438			−0.154297			−0.0771484	−	0.997020i	$-0.524582\pi$
$467$	−3.33438			−0.154297			−0.0771484	+	0.997020i	$0.524582\pi$
$468$	1.34039	−	7.97489i	0.0619597	−	0.368639i
$469$	4.67575	−	2.69955i	0.215906	−	0.124653i
$470$	−10.6552	+	1.92285i	−0.491489	+	0.0886946i
$471$	−0.948987			−0.0437270
$472$	13.2686	+	7.44947i	0.610738	+	0.342890i
$473$		−	39.6223i		−	1.82184i
$474$	3.07063	−	8.54282i	0.141039	−	0.392385i
$475$	−60.2271			−2.76341
$476$	−1.90724	−	0.320563i	−0.0874182	−	0.0146930i
$477$	−8.28727	−	4.78466i	−0.379448	−	0.219075i
$478$	35.0301	+	12.5912i	1.60224	+	0.575908i
$479$	1.41671	−	0.817941i	0.0647314	−	0.0373727i	−0.467285	−	0.884107i	$-0.654768\pi$
$479$	1.41671	−	0.817941i	0.0647314	−	0.0373727i	0.532016	+	0.846734i	$0.321434\pi$
$480$	19.9025	+	16.0319i	0.908420	+	0.731754i
$481$	−9.08143	+	12.5989i	−0.414078	+	0.574459i
$482$	−3.58804	−	19.8827i	−0.163431	−	0.905631i
$483$	0.755474	+	1.30852i	0.0343753	+	0.0595397i
$484$	4.69734	−	27.9476i	0.213516	−	1.27035i
$485$	7.87799	+	4.54836i	0.357721	+	0.206530i
$486$	19.0217	+	6.83715i	0.862841	+	0.310139i
$487$		−	5.27573i		−	0.239066i	−0.992830	−	0.119533i	$-0.961860\pi$
$487$		−	5.27573i		−	0.239066i	0.992830	−	0.119533i	$-0.0381397\pi$
$488$	0.192049	+	15.9782i	0.00869365	+	0.723297i
$489$		−	1.39947i		−	0.0632864i
$490$	−23.6392	−	27.9440i	−1.06791	−	1.26238i
$491$		−	22.0882i		−	0.996828i	−0.866939	−	0.498414i	$-0.833916\pi$
$491$		−	22.0882i		−	0.996828i	0.866939	−	0.498414i	$-0.166084\pi$
$492$	−6.95246	−	18.6358i	−0.313441	−	0.840165i
$493$	−17.3894	+	10.0398i	−0.783179	+	0.452168i
$494$	−7.81693	+	21.7475i	−0.351700	+	0.978468i
$495$		−	30.1599i		−	1.35559i
$496$	0.371404	−	1.07365i	0.0166765	−	0.0482084i
$497$	1.83020	+	3.17000i	0.0820958	+	0.142194i
$498$	13.0635	+	15.4424i	0.585390	+	0.691991i
$499$	−9.83969	+	17.0428i	−0.440485	+	0.762943i	−0.997725	−	0.0674087i	$-0.978527\pi$
$499$	−9.83969	+	17.0428i	−0.440485	+	0.762943i	0.557240	+	0.830351i	$0.311860\pi$
$500$	5.55000	−	33.0206i	0.248204	−	1.47673i
$501$	−0.546755	−	0.947008i	−0.0244272	−	0.0423092i
$502$	7.24566	+	8.56512i	0.323390	+	0.382280i
$503$	−31.4456	+	18.1551i	−1.40209	+	0.809498i	−0.994607	−	0.103714i	$-0.966927\pi$
$503$	−31.4456	+	18.1551i	−1.40209	+	0.809498i	−0.407484	+	0.913212i	$0.633594\pi$
$504$	−1.64386	+	0.975612i	−0.0732234	+	0.0434572i
$505$	17.7880	+	10.2699i	0.791557	+	0.457006i
$506$	13.6319	+	16.1143i	0.606012	+	0.716369i
$507$			7.71311i			0.342551i
$508$	19.2962	−	7.19884i	0.856129	−	0.319397i
$509$	−5.13131	+	2.96256i	−0.227441	+	0.131313i	−0.609391	−	0.792870i	$-0.708586\pi$
$509$	−5.13131	+	2.96256i	−0.227441	+	0.131313i	0.381950	+	0.924183i	$0.375253\pi$
$510$	14.2467	−	2.57097i	0.630854	−	0.113844i
$511$	−1.02093	+	1.76830i	−0.0451631	+	0.0782248i
$512$	−0.815693	−	22.6127i	−0.0360489	−	0.999350i
$513$	−30.2355	−	17.4565i	−1.33493	−	0.770722i
$514$	−0.973172	−	0.349797i	−0.0429248	−	0.0154289i
$515$	13.3559	+	7.71106i	0.588533	+	0.339790i
$516$	11.9676	−	14.4967i	0.526842	−	0.638182i
$517$			10.1184i			0.445005i
$518$	3.66016	−	0.284525i	0.160818	−	0.0125013i
$519$	21.1570			0.928688
$520$	−23.9043	−	13.4207i	−1.04827	−	0.588536i
$521$	−11.1420	+	19.2986i	−0.488141	+	0.845486i	−0.999907	−	0.0136393i	$-0.995658\pi$
$521$	−11.1420	+	19.2986i	−0.488141	+	0.845486i	0.511766	+	0.859125i	$0.328992\pi$
$522$	−6.71321	+	18.6769i	−0.293829	+	0.817464i
$523$	−12.7748	+	22.1267i	−0.558604	+	0.967531i	0.439009	+	0.898483i	$0.355330\pi$
$523$	−12.7748	+	22.1267i	−0.558604	+	0.967531i	−0.997613	+	0.0690486i	$0.978004\pi$
$524$	−16.1510	+	6.02549i	−0.705562	+	0.263225i
$525$	−4.13919	−	2.38976i	−0.180649	−	0.104298i
$526$	−38.9262	+	7.02465i	−1.69726	+	0.306289i
$527$	−0.321773	−	0.557328i	−0.0140167	−	0.0242776i
$528$	18.0471	−	15.6429i	0.785399	−	0.680770i
$529$	14.1501			0.615222
$530$	−24.7667	+	20.9514i	−1.07580	+	0.910069i
$531$	4.25992	−	7.37840i	0.184865	−	0.320195i
$532$	5.11816	−	1.90944i	0.221900	−	0.0827846i
$533$	10.6681	+	18.4776i	0.462086	+	0.800356i
$534$	12.4155	+	14.6764i	0.537270	+	0.635108i
$535$	16.5418	−	9.55040i	0.715163	−	0.412900i
$536$	35.7802	−	0.430059i	1.54547	−	0.0185757i
$537$	8.58645	+	4.95739i	0.370533	+	0.213927i
$538$	8.39402	−	7.10092i	0.361892	−	0.306143i
$539$	−29.6223	+	17.1025i	−1.27592	+	0.736655i
$540$	26.3664	−	31.9385i	1.13463	−	1.37442i
$541$	1.59945			0.0687659			0.0343829	−	0.999409i	$-0.489053\pi$
$541$	1.59945			0.0687659			0.0343829	+	0.999409i	$0.489053\pi$
$542$	−8.95435	+	24.9120i	−0.384622	+	1.07006i
$543$	1.57611	+	2.72990i	0.0676374	+	0.117151i
$544$	−9.98193	−	8.04068i	−0.427972	−	0.344741i
$545$	−58.5559			−2.50826
$546$	−1.40015	+	1.18446i	−0.0599210	+	0.0506901i
$547$	20.8576			0.891806			0.445903	−	0.895081i	$-0.352883\pi$
$547$	20.8576			0.891806			0.445903	+	0.895081i	$0.352883\pi$
$548$	−3.85280	+	22.9229i	−0.164584	+	0.979217i
$549$	8.94676			0.381839
$550$	−62.8310	−	22.5839i	−2.67912	−	0.962983i
$551$	28.3583	−	49.1180i	1.20810	−	2.09250i
$552$	0.120353	+	10.0132i	0.00512256	+	0.426188i
$553$	1.99345	−	1.15092i	0.0847701	−	0.0489420i
$554$	−41.6707	+	7.51992i	−1.77042	+	0.319491i
$555$	−25.0626	+	11.2717i	−1.06385	+	0.478456i
$556$	−15.1282	−	40.5506i	−0.641580	−	1.71973i
$557$	−13.7514	−	23.8181i	−0.582665	−	1.00921i	−0.995162	−	0.0982469i	$-0.968677\pi$
$557$	−13.7514	−	23.8181i	−0.582665	−	1.00921i	0.412497	−	0.910959i	$-0.364657\pi$
$558$	−0.598591	−	0.215158i	−0.0253404	−	0.00910834i
$559$	−10.0823	+	17.4631i	−0.426438	+	0.738611i
$560$	1.22740	+	6.36290i	0.0518669	+	0.268882i
$561$		−	13.5289i		−	0.571189i
$562$	12.9085	+	4.63983i	0.544512	+	0.195719i
$563$	−19.3088			−0.813771			−0.406885	−	0.913479i	$-0.633385\pi$
$563$	−19.3088			−0.813771			−0.406885	+	0.913479i	$0.633385\pi$
$564$	−3.05616	+	3.70203i	−0.128687	+	0.155883i
$565$		−	14.5803i		−	0.613399i
$566$	−24.2441	+	4.37511i	−1.01906	+	0.183900i
$567$	−0.371554	−	0.643550i	−0.0156038	−	0.0270266i
$568$	0.291565	+	24.2578i	0.0122338	+	1.01783i
$569$		−	19.8789i		−	0.833366i	−0.909052	−	0.416683i	$-0.863193\pi$
$569$		−	19.8789i		−	0.833366i	0.909052	−	0.416683i	$-0.136807\pi$
$570$	−31.2189	+	26.4096i	−1.30761	+	1.10618i
$571$	−20.4611	+	11.8132i	−0.856270	+	0.494368i	−0.862761	−	0.505611i	$-0.831267\pi$
$571$	−20.4611	+	11.8132i	−0.856270	+	0.494368i	0.00649165	+	0.999979i	$0.497934\pi$
$572$	−16.3098	+	19.7566i	−0.681945	+	0.826063i
$573$	2.42957	−	4.20815i	0.101497	−	0.175798i
$574$	1.70598	−	4.74621i	0.0712061	−	0.198103i
$575$	24.2439	−	13.9972i	1.01104	−	0.583725i
$576$	−12.6654	+	0.304506i	−0.527723	+	0.0126877i
$577$	13.9615	−	8.06069i	0.581226	−	0.335571i	−0.180395	−	0.983594i	$-0.557737\pi$
$577$	13.9615	−	8.06069i	0.581226	−	0.335571i	0.761620	+	0.648023i	$0.224404\pi$
$578$	16.5142	−	2.98016i	0.686898	−	0.123958i
$579$	14.4473	−	25.0234i	0.600408	−	1.03994i
$580$	51.8845	+	42.8326i	2.15439	+	1.77853i
$581$			5.12880i			0.212778i
$582$	3.96911	−	0.716269i	0.164525	−	0.0296903i
$583$	15.1579	+	26.2542i	0.627775	+	1.08734i
$584$	−11.6373	+	6.90660i	−0.481555	+	0.285797i
$585$	−7.67451	+	13.2926i	−0.317302	+	0.549583i
$586$	2.67316	+	14.8130i	0.110427	+	0.611919i
$587$	−17.1134	+	29.6413i	−0.706345	+	1.22343i	0.259858	+	0.965647i	$0.416324\pi$
$587$	−17.1134	+	29.6413i	−0.706345	+	1.22343i	−0.966204	+	0.257779i	$0.917009\pi$
$588$	−16.0036	−	2.68984i	−0.659978	−	0.110927i
$589$	1.57422	+	0.908879i	0.0648648	+	0.0374497i
$590$	−18.6536	−	22.0505i	−0.767957	−	0.907804i
$591$	−11.5050			−0.473252
$592$	22.0753	+	10.2313i	0.907291	+	0.420504i
$593$	13.2117			0.542539			0.271269	−	0.962503i	$-0.412557\pi$
$593$	13.2117			0.542539			0.271269	+	0.962503i	$0.412557\pi$
$594$	−24.9969	−	29.5489i	−1.02563	−	1.21241i
$595$	3.17901	+	1.83540i	0.130327	+	0.0752441i
$596$	39.3187	+	6.60856i	1.61056	+	0.270697i
$597$	3.70130	−	6.41084i	0.151484	−	0.262378i
$598$	−1.90765	−	10.5710i	−0.0780097	−	0.432280i
$599$	4.55540	−	7.89019i	0.186129	−	0.322384i	−0.757828	−	0.652455i	$-0.773739\pi$
$599$	4.55540	−	7.89019i	0.186129	−	0.322384i	0.943956	+	0.330070i	$0.107073\pi$
$600$	−16.1668	−	27.2403i	−0.660007	−	1.11208i
$601$	8.08129	+	13.9972i	0.329643	+	0.570958i	0.982441	−	0.186574i	$-0.0597384\pi$
$601$	8.08129	+	13.9972i	0.329643	+	0.570958i	−0.652798	+	0.757532i	$0.726405\pi$
$602$	4.69081	−	0.846508i	0.191183	−	0.0345011i
$603$		−	20.0346i		−	0.815874i
$604$	2.03536	+	1.68026i	0.0828176	+	0.0683690i
$605$	−26.8949	+	46.5834i	−1.09343	+	1.89388i
$606$	8.96202	−	1.61729i	0.364057	−	0.0656980i
$607$	−4.02567	+	2.32422i	−0.163397	+	0.0943374i	−0.579469	−	0.814995i	$-0.696740\pi$
$607$	−4.02567	+	2.32422i	−0.163397	+	0.0943374i	0.416072	+	0.909332i	$0.363407\pi$
$608$	35.7733	+	5.57143i	1.45080	+	0.225951i
$609$	3.89792	−	2.25046i	0.157952	−	0.0911934i
$610$	10.2590	−	28.5417i	0.415376	−	1.15562i
$611$	2.57473	−	4.45956i	0.104162	−	0.180415i
$612$	−4.56880	+	5.53434i	−0.184683	+	0.223712i
$613$	−23.5335	+	13.5871i	−0.950508	+	0.548776i	−0.893239	−	0.449583i	$-0.851573\pi$
$613$	−23.5335	+	13.5871i	−0.950508	+	0.548776i	−0.0572692	+	0.998359i	$0.518239\pi$
$614$	21.1759	−	17.9138i	0.854590	−	0.722941i
$615$			37.7529i			1.52234i
$616$	6.05544	−	0.0727832i	0.243981	−	0.00293252i
$617$	−3.69054	−	6.39220i	−0.148575	−	0.257340i	0.782126	−	0.623121i	$-0.214135\pi$
$617$	−3.69054	−	6.39220i	−0.148575	−	0.257340i	−0.930701	+	0.365780i	$0.880802\pi$
$618$	6.72903	−	1.21433i	0.270681	−	0.0488474i
$619$		−	23.3239i		−	0.937465i	−0.883340	−	0.468732i	$-0.844711\pi$
$619$		−	23.3239i		−	0.937465i	0.883340	−	0.468732i	$-0.155289\pi$
$620$	−1.37278	+	1.66289i	−0.0551321	+	0.0667834i
$621$	16.2281			0.651210
$622$	17.7950	+	6.39623i	0.713514	+	0.256465i
$623$			4.87437i			0.195287i
$624$	−11.9346	+	2.30216i	−0.477765	+	0.0921603i
$625$	−8.25113	+	14.2914i	−0.330045	+	0.571655i
$626$	−25.0337	−	8.99811i	−1.00055	−	0.359637i
$627$	19.1068	+	33.0939i	0.763051	+	1.32164i
$628$	−0.557438	−	1.49419i	−0.0222442	−	0.0596245i
$629$	12.5699	−	5.65322i	0.501196	−	0.225409i
$630$	3.57057	−	0.644348i	0.142255	−	0.0256714i
$631$	29.8300	−	17.2224i	1.18751	−	0.685611i	0.229773	−	0.973244i	$-0.426202\pi$
$631$	29.8300	−	17.2224i	1.18751	−	0.685611i	0.957741	+	0.287633i	$0.0928684\pi$
$632$	15.2544	−	0.183350i	0.606789	−	0.00729328i
$633$	4.85767	−	8.41373i	0.193075	−	0.334416i
$634$	1.58297	+	0.568981i	0.0628676	+	0.0225971i
$635$	−39.0907			−1.55127
$636$	−2.38399	+	14.1840i	−0.0945315	+	0.562431i
$637$	17.4076			0.689716
$638$	48.0025	−	40.6077i	1.90044	−	1.60768i
$639$	13.5828			0.537328
$640$	−13.5516	+	40.7538i	−0.535674	+	1.61094i
$641$	0.434949	+	0.753353i	0.0171794	+	0.0297557i	0.874487	−	0.485048i	$-0.161198\pi$
$641$	0.434949	+	0.753353i	0.0171794	+	0.0297557i	−0.857308	+	0.514804i	$0.827865\pi$
$642$	2.86457	−	7.96955i	0.113056	−	0.314533i
$643$	22.5045			0.887492			0.443746	−	0.896153i	$-0.353649\pi$
$643$	22.5045			0.887492			0.443746	+	0.896153i	$0.353649\pi$
$644$	−1.61651	+	1.95813i	−0.0636993	+	0.0771610i
$645$	−30.8998	+	17.8400i	−1.21668	+	0.702450i
$646$	15.6576	−	13.2455i	0.616039	−	0.521138i
$647$	9.57728	+	5.52945i	0.376522	+	0.217385i	0.676304	−	0.736623i	$-0.263581\pi$
$647$	9.57728	+	5.52945i	0.376522	+	0.217385i	−0.299782	+	0.954008i	$0.596914\pi$
$648$	−0.0591915	−	4.92463i	−0.00232526	−	0.193458i
$649$	−23.3749	+	13.4955i	−0.917544	+	0.529744i
$650$	21.9453	+	25.9417i	0.860767	+	1.01752i
$651$	0.0721271	+	0.124928i	0.00282688	+	0.00489630i
$652$	2.20348	−	0.822056i	0.0862951	−	0.0321942i
$653$	16.3051	−	28.2413i	0.638068	−	1.10517i	−0.347788	−	0.937573i	$-0.613067\pi$
$653$	16.3051	−	28.2413i	0.638068	−	1.10517i	0.985856	−	0.167593i	$-0.0535995\pi$
$654$	−19.8210	+	16.7676i	−0.775064	+	0.655665i
$655$	32.7193			1.27845
$656$	25.2582	−	21.8934i	0.986168	−	0.854794i
$657$	3.78840	+	6.56169i	0.147799	+	0.255996i
$658$	−1.19789	+	0.216173i	−0.0466988	+	0.00842730i
$659$	35.2571	+	20.3557i	1.37342	+	0.792945i	0.991357	−	0.131191i	$-0.0418800\pi$
$659$	35.2571	+	20.3557i	1.37342	+	0.792945i	0.382064	+	0.924136i	$0.375213\pi$
$660$	−42.4716	+	15.8449i	−1.65321	+	0.616763i
$661$	−4.03995	+	6.99740i	−0.157136	+	0.272167i	−0.933835	−	0.357705i	$-0.883559\pi$
$661$	−4.03995	+	6.99740i	−0.157136	+	0.272167i	0.776699	+	0.629872i	$0.216893\pi$
$662$	−5.77704	+	16.0723i	−0.224531	+	0.624669i
$663$	−3.44257	+	5.96270i	−0.133698	+	0.231572i
$664$	−16.6406	+	29.6395i	−0.645782	+	1.15024i
$665$	−10.3685			−0.402074
$666$	5.87660	−	12.2902i	0.227714	−	0.476234i
$667$			26.3627i			1.02077i
$668$	1.16990	−	1.41714i	0.0452650	−	0.0548310i
$669$	−7.30580	−	4.21801i	−0.282459	−	0.163078i
$670$	−63.9139	−	22.9732i	−2.46921	−	0.887532i
$671$	−24.5462	−	14.1717i	−0.947594	−	0.547094i
$672$	2.23750	+	1.80236i	0.0863134	+	0.0695275i
$673$	−0.0151282	+	0.0262027i	−0.000583148	+	0.00101004i	−0.866317	−	0.499495i	$-0.833519\pi$
$673$	−0.0151282	+	0.0262027i	−0.000583148	+	0.00101004i	0.865734	+	0.500505i	$0.166852\pi$
$674$	−15.9275	+	2.87430i	−0.613506	+	0.110714i
$675$	−44.4562	+	25.6668i	−1.71112	+	0.987915i
$676$	−12.1443	+	4.53070i	−0.467090	+	0.174258i
$677$			19.8875i			0.764340i	0.924092	+	0.382170i	$0.124823\pi$
$677$			19.8875i			0.764340i	−0.924092	+	0.382170i	$0.875177\pi$
$678$	−4.17511	−	4.93541i	−0.160344	−	0.189543i
$679$	0.885668	+	0.511340i	0.0339888	+	0.0196234i
$680$	12.4166	+	20.9213i	0.476153	+	0.802296i
$681$	12.8585	−	7.42384i	0.492738	−	0.284482i
$682$	1.30147	+	1.53847i	0.0498360	+	0.0589113i
$683$	−15.3476	−	26.5829i	−0.587261	−	1.01717i	−0.994589	−	0.103884i	$-0.966873\pi$
$683$	−15.3476	−	26.5829i	−0.587261	−	1.01717i	0.407329	−	0.913282i	$-0.366460\pi$
$684$	3.35993	−	19.9904i	0.128470	−	0.764353i
$685$	22.0595	−	38.2081i	0.842849	−	1.45986i
$686$	−5.38618	−	6.36702i	−0.205645	−	0.243094i
$687$	3.12682	+	5.41581i	0.119296	+	0.206626i
$688$	29.8549	+	10.3276i	1.13821	+	0.393736i
$689$		−	15.4283i		−	0.587773i
$690$	6.42910	−	17.8865i	0.244752	−	0.680926i
$691$	−21.0711	+	12.1654i	−0.801584	+	0.462795i	−0.844025	−	0.536304i	$-0.819820\pi$
$691$	−21.0711	+	12.1654i	−0.801584	+	0.462795i	0.0424409	+	0.999099i	$0.486487\pi$
$692$	12.4277	+	33.3118i	0.472429	+	1.26632i
$693$		−	3.39066i		−	0.128801i
$694$	11.4011	+	13.4773i	0.432781	+	0.511592i
$695$			82.1486i			3.11607i
$696$	29.8280	−	0.358516i	1.13063	−	0.0135895i
$697$		−	18.9347i		−	0.717201i
$698$	−41.6769	−	14.9803i	−1.57749	−	0.567014i
$699$	12.8355	+	7.41060i	0.485484	+	0.280294i
$700$	1.33132	−	7.92093i	0.0503193	−	0.299383i
$701$	12.9329	+	22.4005i	0.488469	+	0.846054i	0.999912	−	0.0132638i	$-0.00422212\pi$
$701$	12.9329	+	22.4005i	0.488469	+	0.846054i	−0.511443	+	0.859317i	$0.670889\pi$
$702$	3.49807	+	19.3841i	0.132026	+	0.731605i
$703$	−22.7642	+	31.5812i	−0.858566	+	1.19111i
$704$	35.2308	+	19.2266i	1.32781	+	0.724629i
$705$	7.89090	−	4.55581i	0.297188	−	0.171582i
$706$	−6.90886	−	2.48332i	−0.260018	−	0.0934610i
$707$	1.99979	+	1.15458i	0.0752097	+	0.0434223i
$708$	−12.6284	−	2.12254i	−0.474604	−	0.0797699i
$709$	41.3033			1.55118			0.775589	−	0.631238i	$-0.217453\pi$
$709$	41.3033			1.55118			0.775589	+	0.631238i	$0.217453\pi$
$710$	15.5751	−	43.3315i	0.584522	−	1.62620i
$711$		−	8.54152i		−	0.320332i
$712$	−15.8151	+	28.1692i	−0.592698	+	1.05568i
$713$	−0.844921			−0.0316425
$714$	1.60166	−	0.289036i	0.0599405	−	0.0108169i
$715$	42.1113	−	24.3130i	1.57487	−	0.909253i
$716$	−2.76174	+	16.4314i	−0.103211	+	0.614071i
$717$	−31.3256			−1.16988
$718$	21.6973	+	25.6485i	0.809738	+	0.957194i
$719$	−26.1816	−	45.3478i	−0.976407	−	1.69119i	−0.675210	−	0.737625i	$-0.735947\pi$
$719$	−26.1816	−	45.3478i	−0.976407	−	1.69119i	−0.301197	−	0.953562i	$-0.597386\pi$
$720$	22.7251	+	7.86119i	0.846914	+	0.292969i
$721$	1.50152	+	0.866901i	0.0559194	+	0.0322851i
$722$	−10.5056	+	29.2277i	−0.390978	+	1.08774i
$723$	8.50115	+	14.7244i	0.316161	+	0.547607i
$724$	−3.37244	+	4.08515i	−0.125336	+	0.151823i
$725$	−41.6960	−	72.2196i	−1.54855	−	2.68217i
$726$	4.23537	+	23.4698i	0.157189	+	0.871045i
$727$	−1.52964	−	0.883136i	−0.0567311	−	0.0327537i	0.471366	−	0.881938i	$-0.343761\pi$
$727$	−1.52964	−	0.883136i	−0.0567311	−	0.0327537i	−0.528097	+	0.849184i	$0.677094\pi$
$728$	−2.68739	−	1.50879i	−0.0996013	−	0.0559197i
$729$	−22.2339			−0.823476
$730$	25.2770	−	4.56150i	0.935543	−	0.168829i
$731$	15.4976	−	8.94752i	0.573198	−	0.330936i
$732$	−4.70031	−	12.5990i	−0.173729	−	0.465672i
$733$	−38.1733	−	22.0394i	−1.40996	−	0.814043i	−0.414579	−	0.910013i	$-0.636071\pi$
$733$	−38.1733	−	22.0394i	−1.40996	−	0.814043i	−0.995384	+	0.0959706i	$0.969405\pi$
$734$	48.8177	−	8.80969i	1.80190	−	0.325172i
$735$	26.6750	+	15.4008i	0.983923	+	0.568068i
$736$	−15.6951	+	6.07126i	−0.578529	+	0.223790i
$737$	−31.7350	+	54.9666i	−1.16897	+	2.02472i
$738$	−12.0872	−	14.2883i	−0.444936	−	0.525960i
$739$			21.1088i			0.776498i	0.921554	+	0.388249i	$0.126920\pi$
$739$			21.1088i			0.776498i	−0.921554	+	0.388249i	$0.873080\pi$
$740$	−32.4692	−	32.8402i	−1.19359	−	1.20723i
$741$		−	19.4477i		−	0.714430i
$742$	−2.78435	+	2.35542i	−0.102217	+	0.0864701i
$743$	5.22651	−	9.05258i	0.191742	−	0.332107i	−0.754086	−	0.656776i	$-0.771920\pi$
$743$	5.22651	−	9.05258i	0.191742	−	0.332107i	0.945828	+	0.324669i	$0.105253\pi$
$744$	0.0114904	+	0.955982i	0.000421259	+	0.0350480i
$745$	−65.5369	−	37.8377i	−2.40109	−	1.38627i
$746$	7.08570	+	39.2645i	0.259426	+	1.43757i
$747$	16.4819	+	9.51582i	0.603041	+	0.348166i
$748$	21.3013	−	7.94690i	0.778852	−	0.290567i
$749$	1.85968	−	1.07369i	0.0679511	−	0.0392316i
$750$	5.00418	+	27.7300i	0.182727	+	1.01256i
$751$	−31.6105			−1.15348			−0.576742	−	0.816927i	$-0.695676\pi$
$751$	−31.6105			−1.15348			−0.576742	+	0.816927i	$0.695676\pi$
$752$	−7.62406	−	2.63736i	−0.278021	−	0.0961746i
$753$	−8.17617	−	4.72051i	−0.297956	−	0.172025i
$754$	−31.4897	+	5.68265i	−1.14679	+	0.206950i
$755$	−2.50477	−	4.33839i	−0.0911579	−	0.157890i
$756$	2.96419	−	3.59063i	0.107807	−	0.130590i
$757$	7.68179	+	13.3052i	0.279199	+	0.483587i	0.971186	−	0.238323i	$-0.0765976\pi$
$757$	7.68179	+	13.3052i	0.279199	+	0.483587i	−0.691987	+	0.721910i	$0.743264\pi$
$758$	−10.0154	−	3.59994i	−0.363776	−	0.130756i
$759$	−15.3825	−	8.88112i	−0.558351	−	0.322364i
$760$	−59.9201	−	33.6412i	−2.17353	−	1.22030i
$761$	6.77803	+	11.7399i	0.245703	+	0.425571i	0.962329	−	0.271887i	$-0.0876478\pi$
$761$	6.77803	+	11.7399i	0.245703	+	0.425571i	−0.716626	+	0.697458i	$0.754314\pi$
$762$	−13.2321	+	11.1937i	−0.479349	+	0.405505i
$763$	−6.58304			−0.238322
$764$	8.05289	+	1.35350i	0.291343	+	0.0489681i
$765$	11.7965	−	6.81070i	0.426503	−	0.246241i
$766$	−3.39362	−	18.8053i	−0.122617	−	0.679464i
$767$	13.7363			0.495989
$768$	7.08274	+	17.6756i	0.255576	+	0.637813i
$769$			0.216663i			0.00781308i	0.999992	+	0.00390654i	$0.00124349\pi$
$769$			0.216663i			0.00781308i	−0.999992	+	0.00390654i	$0.998757\pi$
$770$	−10.8168	−	3.88799i	−0.389810	−	0.140113i
$771$	0.870258			0.0313416
$772$	47.8859	+	8.04850i	1.72345	+	0.289672i
$773$	−10.0040	−	5.77582i	−0.359819	−	0.207742i	0.309182	−	0.951003i	$-0.399945\pi$
$773$	−10.0040	−	5.77582i	−0.359819	−	0.207742i	−0.669002	+	0.743261i	$0.733278\pi$
$774$	5.98287	−	16.6450i	0.215050	−	0.598291i
$775$	2.31463	−	1.33635i	0.0831440	−	0.0480032i
$776$	3.45924	+	5.82865i	0.124179	+	0.209236i
$777$	−2.81761	+	1.26720i	−0.101081	+	0.0454605i
$778$	33.8784	−	6.11373i	1.21460	−	0.219188i
$779$	26.7414	+	46.3174i	0.958108	+	1.65949i
$780$	22.7508	+	3.82389i	0.814610	+	0.136917i
$781$	−37.2656	−	21.5153i	−1.33347	−	0.769877i
$782$	−3.22446	+	8.97081i	−0.115307	+	0.320795i
$783$		−	48.3414i		−	1.72758i
$784$	−5.16541	−	26.7778i	−0.184479	−	0.956351i
$785$			3.02697i			0.108037i
$786$	11.0754	−	9.36922i	0.395046	−	0.334189i
$787$		−	39.2723i		−	1.39991i	−0.714189	−	0.699953i	$-0.753204\pi$
$787$		−	39.2723i		−	1.39991i	0.714189	−	0.699953i	$-0.246796\pi$
$788$	−6.75807	−	18.1147i	−0.240746	−	0.645309i
$789$	28.8274	−	16.6435i	1.02628	−	0.592524i
$790$	−27.2489	−	9.79434i	−0.969473	−	0.348467i
$791$		−	1.63917i		−	0.0582820i
$792$	11.0012	−	19.5948i	0.390910	−	0.696270i
$793$	7.21231	+	12.4921i	0.256117	+	0.443607i
$794$	−40.9702	+	34.6587i	−1.45398	+	1.22999i
$795$	13.6497	−	23.6420i	0.484105	−	0.838495i
$796$	12.2681	+	2.06198i	0.434830	+	0.0730848i
$797$	19.4526	+	33.6930i	0.689048	+	1.19347i	0.972146	+	0.234375i	$0.0753044\pi$
$797$	19.4526	+	33.6930i	0.689048	+	1.19347i	−0.283098	+	0.959091i	$0.591362\pi$
$798$	−3.50972	+	2.96905i	−0.124243	+	0.105103i
$799$	−3.95762	+	2.28493i	−0.140010	+	0.0808350i
$800$	33.3937	−	41.4558i	1.18064	−	1.46568i
$801$	15.6643	+	9.04376i	0.553469	+	0.319546i
$802$	14.0036	−	11.8463i	0.494484	−	0.418309i
$803$		−	24.0034i		−	0.847061i
$804$	−28.2131	+	10.5255i	−0.995000	+	0.371205i
$805$	4.17376	−	2.40972i	0.147106	−	0.0849316i
$806$	−0.182128	−	1.00924i	−0.00641520	−	0.0355490i
$807$	−4.62622	+	8.01284i	−0.162851	+	0.282065i
$808$	7.81075	+	13.1608i	0.274781	+	0.462994i
$809$	41.3750	+	23.8879i	1.45467	+	0.839853i	0.998741	−	0.0501646i	$-0.0159746\pi$
$809$	41.3750	+	23.8879i	1.45467	+	0.839853i	0.455927	+	0.890017i	$0.349308\pi$
$810$	−3.16193	+	8.79684i	−0.111099	+	0.309089i
$811$	−33.0646	−	19.0899i	−1.16106	−	0.670336i	−0.209500	−	0.977809i	$-0.567184\pi$
$811$	−33.0646	−	19.0899i	−1.16106	−	0.670336i	−0.951557	+	0.307472i	$0.900517\pi$
$812$	5.83302	+	4.81537i	0.204699	+	0.168986i
$813$		−	22.2775i		−	0.781306i
$814$	−35.5906	+	24.4105i	−1.24745	+	0.855587i
$815$	−4.46388			−0.156363
$816$	10.1938	+	3.52631i	0.356855	+	0.123446i
$817$	−25.2731	+	43.7743i	−0.884194	+	1.53147i
$818$	44.0225	+	15.8234i	1.53921	+	0.553254i
$819$	−0.862792	+	1.49440i	−0.0301484	+	0.0522186i
$820$	−59.4422	+	22.1762i	−2.07581	+	0.774425i
$821$	20.4469	+	11.8050i	0.713601	+	0.411997i	0.812393	−	0.583111i	$-0.198165\pi$
$821$	20.4469	+	11.8050i	0.713601	+	0.411997i	−0.0987922	+	0.995108i	$0.531498\pi$
$822$	−3.47389	−	19.2501i	−0.121166	−	0.671425i
$823$	23.5696	+	40.8237i	0.821584	+	1.42303i	0.904502	+	0.426469i	$0.140243\pi$
$823$	23.5696	+	40.8237i	0.821584	+	1.42303i	−0.0829178	+	0.996556i	$0.526424\pi$
$824$	5.86462	+	9.88161i	0.204304	+	0.344242i
$825$	56.1865			1.95616
$826$	−2.09710	−	2.47898i	−0.0729673	−	0.0862549i
$827$	18.2448	−	31.6008i	0.634432	−	1.09887i	−0.352203	−	0.935924i	$-0.614567\pi$
$827$	18.2448	−	31.6008i	0.634432	−	1.09887i	0.986635	−	0.162945i	$-0.0520993\pi$
$828$	3.29342	+	8.82785i	0.114454	+	0.306789i
$829$	−0.443993	−	0.769018i	−0.0154205	−	0.0267091i	0.858212	−	0.513295i	$-0.171575\pi$
$829$	−0.443993	−	0.769018i	−0.0154205	−	0.0267091i	−0.873633	+	0.486586i	$0.838242\pi$
$830$	49.2564	−	41.6685i	1.70972	−	1.44633i
$831$	30.8598	−	17.8169i	1.07052	−	0.618063i
$832$	−10.6352	−	17.4388i	−0.368708	−	0.604580i
$833$	−13.3786	−	7.72416i	−0.463542	−	0.267626i
$834$	23.5234	+	27.8071i	0.814549	+	0.962881i
$835$	−3.02066	+	1.74398i	−0.104534	+	0.0603528i
$836$	−40.8832	+	49.5232i	−1.41398	+	1.71280i
$837$	1.54934			0.0535529
$838$	−41.4094	−	14.8842i	−1.43046	−	0.514165i
$839$	0.939799	+	1.62778i	0.0324455	+	0.0561972i	0.881792	−	0.471638i	$-0.156337\pi$
$839$	0.939799	+	1.62778i	0.0324455	+	0.0561972i	−0.849347	+	0.527835i	$0.823004\pi$
$840$	−2.78323	−	4.68962i	−0.0960306	−	0.161807i
$841$	49.5312			1.70797
$842$	−20.9270	−	24.7379i	−0.721192	−	0.852524i
$843$	−11.5434			−0.397577
$844$	16.1009	+	2.70618i	0.554215	+	0.0931507i
$845$	24.6024			0.846347
$846$	−1.52785	+	4.25063i	−0.0525284	+	0.146140i
$847$	−3.02361	+	5.23705i	−0.103893	+	0.179947i
$848$	−23.7331	+	4.57809i	−0.814999	+	0.157212i
$849$	17.9544	−	10.3660i	0.616192	−	0.355759i
$850$	−5.35519	−	29.6751i	−0.183682	−	1.01785i
$851$	1.82381	−	18.0033i	0.0625193	−	0.617146i
$852$	−7.13593	−	19.1275i	−0.244473	−	0.655299i
$853$	10.7629	+	18.6419i	0.368516	+	0.638288i	0.989334	−	0.145667i	$-0.0465327\pi$
$853$	10.7629	+	18.6419i	0.368516	+	0.638288i	−0.620818	+	0.783955i	$0.713199\pi$
$854$	1.15335	−	3.20875i	0.0394668	−	0.109801i
$855$	−19.2375	+	33.3203i	−0.657908	+	1.13953i
$856$	14.2308	−	0.171046i	0.486398	−	0.00584625i
$857$			5.86496i			0.200343i	0.994970	+	0.100172i	$0.0319392\pi$
$857$			5.86496i			0.200343i	−0.994970	+	0.100172i	$0.968061\pi$
$858$	7.29250	−	20.2885i	0.248962	−	0.692638i
$859$	34.0633			1.16223			0.581113	−	0.813823i	$-0.302618\pi$
$859$	34.0633			1.16223			0.581113	+	0.813823i	$0.302618\pi$
$860$	−46.2399	−	38.1727i	−1.57677	−	1.30168i
$861$			4.24430i			0.144645i
$862$	−2.72997	−	15.1278i	−0.0929830	−	0.515253i
$863$	−1.29900	−	2.24993i	−0.0442184	−	0.0765886i	0.843069	−	0.537805i	$-0.180746\pi$
$863$	−1.29900	−	2.24993i	−0.0442184	−	0.0765886i	−0.887288	+	0.461217i	$0.847413\pi$
$864$	28.7802	−	11.1329i	0.979121	−	0.378749i
$865$		−	67.4841i		−	2.29453i
$866$	30.3704	+	35.9009i	1.03203	+	1.21996i
$867$	−12.2298	+	7.06089i	−0.415346	+	0.239800i
$868$	−0.154332	+	0.186947i	−0.00523837	+	0.00634541i
$869$	−13.5298	+	23.4344i	−0.458968	+	0.794956i
$870$	−53.2815	−	19.1515i	−1.80641	−	0.649297i
$871$	27.9737	−	16.1506i	0.947854	−	0.547244i
$872$	−38.0436	−	21.3590i	−1.28832	−	0.723308i
$873$	3.28648	−	1.89745i	0.111231	−	0.0642191i
$874$	−4.78185	−	26.4980i	−0.161749	−	0.896309i
$875$	−3.57246	+	6.18767i	−0.120771	+	0.209182i
$876$	7.25000	−	8.78216i	0.244955	−	0.296722i
$877$			20.1301i			0.679747i	0.940471	+	0.339873i	$0.110384\pi$
$877$			20.1301i			0.679747i	−0.940471	+	0.339873i	$0.889616\pi$
$878$	3.25032	+	18.0112i	0.109693	+	0.607849i
$879$	−6.33352	−	10.9700i	−0.213624	−	0.370008i
$880$	−49.8959	−	57.5645i	−1.68199	−	1.94050i
$881$	7.56128	−	13.0965i	0.254746	−	0.441233i	−0.710080	−	0.704121i	$-0.751341\pi$
$881$	7.56128	−	13.0965i	0.254746	−	0.441233i	0.964827	+	0.262887i	$0.0846748\pi$
$882$	−15.0265	+	2.71169i	−0.505968	+	0.0913074i
$883$	17.6714	−	30.6078i	0.594691	−	1.03003i	−0.398900	−	0.916995i	$-0.630608\pi$
$883$	17.6714	−	30.6078i	0.594691	−	1.03003i	0.993590	−	0.113040i	$-0.0360588\pi$
$884$	−11.4105	−	1.91784i	−0.383776	−	0.0645039i
$885$	21.0492	+	12.1527i	0.707560	+	0.408510i
$886$	1.91193	−	1.61740i	0.0642326	−	0.0543375i
$887$	25.2875			0.849070			0.424535	−	0.905412i	$-0.360438\pi$
$887$	25.2875			0.849070			0.424535	+	0.905412i	$0.360438\pi$
$888$	−20.3946	−	1.81871i	−0.684397	−	0.0610318i
$889$	−4.39470			−0.147394
$890$	46.8129	−	39.6014i	1.56917	−	1.32744i
$891$	7.56538	+	4.36787i	0.253450	+	0.146329i
$892$	2.34983	−	13.9807i	0.0786782	−	0.468109i
$893$	6.45400	−	11.1787i	0.215975	−	0.374080i
$894$	−33.0190	+	5.95863i	−1.10432	+	0.199286i
$895$	15.8125	−	27.3881i	0.528554	−	0.915482i
$896$	−1.52351	+	4.58167i	−0.0508970	+	0.153063i
$897$	4.51980	+	7.82852i	0.150912	+	0.261387i
$898$	4.31188	+	23.8937i	0.143889	+	0.797343i
$899$			2.51691i			0.0839438i
$900$	−22.9846	−	18.9746i	−0.766153	−	0.632487i
$901$	−6.84590	+	11.8575i	−0.228070	+	0.395029i
$902$	10.5294	+	58.3473i	0.350591	+	1.94275i
$903$	−3.47385	+	2.00563i	−0.115603	+	0.0667432i
$904$	5.31836	−	9.47280i	0.176886	−	0.315061i
$905$	8.70753	−	5.02729i	0.289448	−	0.167113i
$906$	−2.09016	−	0.751288i	−0.0694410	−	0.0249599i
$907$	28.1116	−	48.6907i	0.933430	−	1.61675i	0.156020	−	0.987754i	$-0.450134\pi$
$907$	28.1116	−	48.6907i	0.933430	−	1.61675i	0.777410	−	0.628994i	$-0.216533\pi$
$908$	19.2420	+	15.8850i	0.638568	+	0.527161i
$909$	7.42069	−	4.28434i	0.246129	−	0.142103i
$910$	3.77805	+	4.46604i	0.125241	+	0.148048i
$911$			4.64280i			0.153823i	0.997038	+	0.0769115i	$0.0245059\pi$
$911$			4.64280i			0.153823i	−0.997038	+	0.0769115i	$0.975494\pi$
$912$	−29.9160	+	5.77076i	−0.990619	+	0.191089i
$913$	−30.1463	−	52.2148i	−0.997695	−	1.72806i
$914$	5.30855	+	29.4167i	0.175591	+	0.973017i
$915$			25.5234i			0.843777i
$916$	−6.69053	+	8.10447i	−0.221061	+	0.267779i
$917$	3.67840			0.121472
$918$	5.91271	−	16.4498i	0.195149	−	0.542925i
$919$		−	35.6030i		−	1.17444i	−0.809429	−	0.587218i	$-0.800223\pi$
$919$		−	35.6030i		−	1.17444i	0.809429	−	0.587218i	$-0.199777\pi$
$920$	31.9388	−	0.383888i	1.05299	−	0.0126564i
$921$	−11.6707	+	20.2143i	−0.384564	+	0.666084i
$922$	−2.31723	+	6.44677i	−0.0763138	+	0.212313i
$923$	10.9496	+	18.9653i	0.360410	+	0.624249i
$924$	−4.77479	+	1.78134i	−0.157079	+	0.0586016i
$925$	23.4783	+	52.2040i	0.771962	+	1.71646i
$926$	−8.45627	−	46.8593i	−0.277890	−	1.53989i
$927$	5.57174	−	3.21685i	0.183000	−	0.105655i
$928$	18.0855	+	46.7537i	0.593686	+	1.53477i
$929$	−8.97349	+	15.5425i	−0.294411	+	0.509934i	−0.974848	−	0.222872i	$-0.928457\pi$
$929$	−8.97349	+	15.5425i	−0.294411	+	0.509934i	0.680437	+	0.732807i	$0.261790\pi$
$930$	0.613803	−	1.70767i	0.0201274	−	0.0559966i
$931$	43.6352			1.43009
$932$	−4.12841	+	24.5626i	−0.135231	+	0.804576i
$933$	−15.9132			−0.520973
$934$	3.04553	+	3.60013i	0.0996528	+	0.117800i
$935$	−43.1528			−1.41125
$936$	−9.83477	+	5.83682i	−0.321459	+	0.190782i
$937$	−9.51155	−	16.4745i	−0.310729	−	0.538198i	0.667792	−	0.744348i	$-0.267240\pi$
$937$	−9.51155	−	16.4745i	−0.310729	−	0.538198i	−0.978520	+	0.206150i	$0.933906\pi$
$938$	−7.18540	−	2.58272i	−0.234612	−	0.0843287i
$939$	22.3864			0.730551
$940$	11.8083	+	9.74818i	0.385144	+	0.317951i
$941$	28.6171	−	16.5221i	0.932892	−	0.538605i	0.0451668	−	0.998979i	$-0.485618\pi$
$941$	28.6171	−	16.5221i	0.932892	−	0.538605i	0.887725	+	0.460374i	$0.152285\pi$
$942$	0.866778	+	1.02462i	0.0282411	+	0.0333840i
$943$	−21.5290	−	12.4298i	−0.701081	−	0.404769i
$944$	−4.07600	−	21.1303i	−0.132663	−	0.687732i
$945$	−7.65345	+	4.41872i	−0.248967	+	0.143741i
$946$	−42.7802	+	36.1899i	−1.39091	+	1.17664i
$947$	−22.2200	−	38.4861i	−0.722052	−	1.25063i	−0.960176	−	0.279396i	$-0.909866\pi$
$947$	−22.2200	−	38.4861i	−0.722052	−	1.25063i	0.238124	−	0.971235i	$-0.423468\pi$
$948$	−12.0283	+	4.48742i	−0.390661	+	0.145744i
$949$	−6.10793	+	10.5792i	−0.198272	+	0.343417i
$950$	55.0098	+	65.0272i	1.78475	+	2.10976i
$951$	−1.41557			−0.0459029
$952$	1.39591	+	2.35204i	0.0452416	+	0.0762300i
$953$	−12.2359	−	21.1931i	−0.396359	−	0.686513i	0.596915	−	0.802305i	$-0.296393\pi$
$953$	−12.2359	−	21.1931i	−0.396359	−	0.686513i	−0.993274	+	0.115791i	$0.963060\pi$
$954$	2.40337	+	13.3179i	0.0778119	+	0.431184i
$955$	−13.4227	−	7.74957i	−0.434347	−	0.250770i
$956$	−18.4008	−	49.3224i	−0.595123	−	1.59520i
$957$	−26.4557	+	45.8227i	−0.855193	+	1.48124i
$958$	−2.17712	−	0.782543i	−0.0703395	−	0.0252828i
$959$	2.47999	−	4.29547i	0.0800831	−	0.138708i
$960$	−0.868696	−	36.1318i	−0.0280371	−	1.16615i
$961$	30.9193			0.997398
$962$	21.8977	−	1.70223i	0.706011	−	0.0548822i
$963$		−	7.96834i		−	0.256776i
$964$	−18.1901	+	22.0343i	−0.585864	+	0.709677i
$965$	−79.8167	−	46.0822i	−2.56939	−	1.48344i
$966$	0.722780	−	2.01085i	0.0232551	−	0.0646981i
$967$	−31.3620	−	18.1068i	−1.00853	−	0.582277i	−0.0977711	−	0.995209i	$-0.531171\pi$
$967$	−31.3620	−	18.1068i	−1.00853	−	0.582277i	−0.910762	+	0.412932i	$0.864505\pi$
$968$	−34.4655	+	20.4548i	−1.10776	+	0.657444i
$969$	−8.62939	+	14.9465i	−0.277216	+	0.480152i
$970$	−2.28467	−	12.6602i	−0.0733563	−	0.406495i
$971$	−28.9581	+	16.7190i	−0.929311	+	0.536538i	−0.886594	−	0.462549i	$-0.846935\pi$
$971$	−28.9581	+	16.7190i	−0.929311	+	0.536538i	−0.0427176	+	0.999087i	$0.513602\pi$
$972$	−9.99180	−	26.7826i	−0.320487	−	0.859051i
$973$			9.23540i			0.296073i
$974$	−5.69620	+	4.81870i	−0.182518	+	0.154401i
$975$	−24.7636	−	14.2973i	−0.793071	−	0.457880i
$976$	17.0762	−	14.8014i	0.546596	−	0.473780i
$977$	23.0664	−	13.3174i	0.737958	−	0.426060i	−0.0833682	−	0.996519i	$-0.526568\pi$
$977$	23.0664	−	13.3174i	0.737958	−	0.426060i	0.821327	+	0.570458i	$0.193234\pi$
$978$	−1.51101	+	1.27824i	−0.0483169	+	0.0408736i
$979$	−28.6508	−	49.6246i	−0.915683	−	1.58601i
$980$	−8.57973	+	51.0465i	−0.274069	+	1.63062i
$981$	−12.2140	+	21.1552i	−0.389962	+	0.675435i
$982$	−23.8487	+	20.1748i	−0.761042	+	0.643803i
$983$	12.1934	+	21.1195i	0.388908	+	0.673608i	0.992303	−	0.123834i	$-0.0395192\pi$
$983$	12.1934	+	21.1195i	0.388908	+	0.673608i	−0.603395	+	0.797442i	$0.706186\pi$
$984$	−13.7708	+	24.5280i	−0.438998	+	0.781922i
$985$			36.6973i			1.16927i
$986$	26.7229	+	9.60528i	0.851031	+	0.305894i
$987$	0.887119	−	0.512179i	0.0282373	−	0.0163028i
$988$	30.6206	−	11.4236i	0.974170	−	0.363435i
$989$		−	23.4946i		−	0.747086i
$990$	−32.5636	+	27.5472i	−1.03494	+	0.875507i
$991$			16.0860i			0.510988i	0.966811	+	0.255494i	$0.0822382\pi$
$991$			16.0860i			0.510988i	−0.966811	+	0.255494i	$0.917762\pi$
$992$	−1.49845	+	0.579639i	−0.0475759	+	0.0184035i
$993$		−	14.3727i		−	0.456103i
$994$	1.75100	−	4.87146i	0.0555382	−	0.154513i
$995$	−20.4485	−	11.8060i	−0.648263	−	0.374275i
$996$	4.74133	−	28.2093i	0.150235	−	0.893847i
$997$	−10.6753	−	18.4902i	−0.338091	−	0.585590i	0.645983	−	0.763352i	$-0.276448\pi$
$997$	−10.6753	−	18.4902i	−0.338091	−	0.585590i	−0.984074	+	0.177762i	$0.943114\pi$
$998$	27.3885	−	4.94254i	0.866966	−	0.156453i
$999$	−3.34432	+	33.0128i	−0.105810	+	1.04448i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.q.a.85.12	✓	72
4.3	odd	2		1184.2.y.a.529.12		72
8.3	odd	2		1184.2.y.a.529.25		72
8.5	even	2	inner	296.2.q.a.85.24	yes	72
37.27	even	6	inner	296.2.q.a.101.24	yes	72
148.27	odd	6		1184.2.y.a.1137.25		72
296.27	odd	6		1184.2.y.a.1137.12		72
296.101	even	6	inner	296.2.q.a.101.12	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.q.a.85.12	✓	72	1.1	even	1	trivial
296.2.q.a.85.24	yes	72	8.5	even	2	inner
296.2.q.a.101.12	yes	72	296.101	even	6	inner
296.2.q.a.101.24	yes	72	37.27	even	6	inner
1184.2.y.a.529.12		72	4.3	odd	2
1184.2.y.a.529.25		72	8.3	odd	2
1184.2.y.a.1137.12		72	296.27	odd	6
1184.2.y.a.1137.25		72	148.27	odd	6

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.q (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.913372 - 1.07970i) q^{2} +(1.03067 + 0.595057i) q^{3} +(-0.331504 + 1.97233i) q^{4} +(1.89805 - 3.28751i) q^{5} +(-0.298901 - 1.65632i) q^{6} +(0.213384 - 0.369592i) q^{7} +(2.43232 - 1.44355i) q^{8} +(-0.791813 - 1.37146i) q^{9} +(-5.28315 + 0.953401i) q^{10} +5.01695i q^{11} +(-1.51532 + 1.83556i) q^{12} +(1.27662 - 2.21117i) q^{13} +(-0.593948 + 0.107184i) q^{14} +(3.91251 - 2.25889i) q^{15} +(-3.78021 - 1.30767i) q^{16} +(-1.96229 + 1.13293i) q^{17} +(-0.757546 + 2.10757i) q^{18} +(3.20006 - 5.54267i) q^{19} +(5.85486 + 4.83340i) q^{20} +(0.439857 - 0.253952i) q^{21} +(5.41680 - 4.58234i) q^{22} +2.97488i q^{23} +(3.36591 - 0.0404565i) q^{24} +(-4.70515 - 8.14956i) q^{25} +(-3.55343 + 0.641254i) q^{26} -5.45504i q^{27} +(0.658222 + 0.543386i) q^{28} +8.86178 q^{29} +(-6.01251 - 2.16113i) q^{30} +0.284019i q^{31} +(2.04084 + 5.27588i) q^{32} +(-2.98537 + 5.17082i) q^{33} +(3.01552 + 1.08390i) q^{34} +(-0.810025 - 1.40300i) q^{35} +(2.96747 - 1.10708i) q^{36} +(-6.05179 - 0.613070i) q^{37} +(-8.90727 + 1.60741i) q^{38} +(2.63154 - 1.51932i) q^{39} +(-0.129043 - 10.7362i) q^{40} +(-4.17825 + 7.23695i) q^{41} +(-0.675944 - 0.242961i) q^{42} -7.89769 q^{43} +(-9.89511 - 1.66314i) q^{44} -6.01159 q^{45} +(3.21197 - 2.71717i) q^{46} +2.01684 q^{47} +(-3.11801 - 3.59722i) q^{48} +(3.40893 + 5.90445i) q^{49} +(-4.50153 + 12.5237i) q^{50} -2.69663 q^{51} +(3.93796 + 3.25093i) q^{52} +(5.23310 - 3.02133i) q^{53} +(-5.88981 + 4.98248i) q^{54} +(16.4933 + 9.52240i) q^{55} +(-0.0145075 - 1.20700i) q^{56} +(6.59642 - 3.80844i) q^{57} +(-8.09410 - 9.56806i) q^{58} +(2.68998 + 4.65918i) q^{59} +(3.15828 + 8.46562i) q^{60} +(-2.82477 + 4.89264i) q^{61} +(0.306655 - 0.259415i) q^{62} -0.675842 q^{63} +(3.83232 - 7.02234i) q^{64} +(-4.84616 - 8.39380i) q^{65} +(8.30969 - 1.49957i) q^{66} +(10.9562 + 6.32555i) q^{67} +(-1.58401 - 4.24586i) q^{68} +(-1.77022 + 3.06611i) q^{69} +(-0.774970 + 2.15605i) q^{70} +(-4.28852 + 7.42793i) q^{71} +(-3.90571 - 2.19280i) q^{72} -4.78445 q^{73} +(4.86560 + 7.09408i) q^{74} -11.1993i q^{75} +(9.87117 + 8.14901i) q^{76} +(1.85423 + 1.07054i) q^{77} +(-4.04399 - 1.45357i) q^{78} +(4.67103 + 2.69682i) q^{79} +(-11.4740 + 9.94546i) q^{80} +(0.870623 - 1.50796i) q^{81} +(11.6300 - 2.09876i) q^{82} +(-10.4077 + 6.00888i) q^{83} +(0.355063 + 0.951731i) q^{84} +8.60140i q^{85} +(7.21353 + 8.52713i) q^{86} +(9.13357 + 5.27327i) q^{87} +(7.24223 + 12.2028i) q^{88} +(-9.89138 + 5.71079i) q^{89} +(5.49082 + 6.49071i) q^{90} +(-0.544820 - 0.943656i) q^{91} +(-5.86745 - 0.986182i) q^{92} +(-0.169008 + 0.292730i) q^{93} +(-1.84212 - 2.17758i) q^{94} +(-12.1477 - 21.0405i) q^{95} +(-1.03602 + 6.65211i) q^{96} +2.39634i q^{97} +(3.26141 - 9.07358i) q^{98} +(6.88056 - 3.97249i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) \) 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

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