LMFDB - Embedded newform 230.2.l.a.143.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(7,230)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(44))

chi = DirichletCharacter(H, H._module([11, 38]))

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

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

chi := DirichletCharacter("230.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.l (of order $44$, degree $20$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{44})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label			143.5
Character	$\chi$	$=$	230.143
Dual form			230.2.l.a.37.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.877679 + 0.479249i) q^{2} +(1.38690 - 0.0991931i) q^{3} +(0.540641 - 0.841254i) q^{4} +(1.42130 + 1.72624i) q^{5} +(-1.16972 + 0.751731i) q^{6} +(-1.42380 + 3.81735i) q^{7} +(-0.0713392 + 0.997452i) q^{8} +(-1.05581 + 0.151803i) q^{9} +O(q^{10})$	\(q+(-0.877679 + 0.479249i) q^{2} +(1.38690 - 0.0991931i) q^{3} +(0.540641 - 0.841254i) q^{4} +(1.42130 + 1.72624i) q^{5} +(-1.16972 + 0.751731i) q^{6} +(-1.42380 + 3.81735i) q^{7} +(-0.0713392 + 0.997452i) q^{8} +(-1.05581 + 0.151803i) q^{9} +(-2.07474 - 0.833933i) q^{10} +(-0.289007 - 0.984268i) q^{11} +(0.666369 - 1.22036i) q^{12} +(2.63570 - 0.983067i) q^{13} +(-0.579824 - 4.03276i) q^{14} +(2.14243 + 2.25315i) q^{15} +(-0.415415 - 0.909632i) q^{16} +(3.31843 + 0.721880i) q^{17} +(0.853911 - 0.639230i) q^{18} +(-0.665904 - 0.427950i) q^{19} +(2.22062 - 0.262392i) q^{20} +(-1.59601 + 5.43552i) q^{21} +(0.725365 + 0.725365i) q^{22} +(2.11147 - 4.30601i) q^{23} +1.39044i q^{24} +(-0.959836 + 4.90701i) q^{25} +(-1.84217 + 2.12598i) q^{26} +(-5.52525 + 1.20194i) q^{27} +(2.44160 + 3.26159i) q^{28} +(-1.65762 - 2.57930i) q^{29} +(-2.96018 - 0.950783i) q^{30} +(2.43591 + 2.81119i) q^{31} +(0.800541 + 0.599278i) q^{32} +(-0.498457 - 1.33642i) q^{33} +(-3.25848 + 0.956775i) q^{34} +(-8.61332 + 2.96776i) q^{35} +(-0.443109 + 0.970274i) q^{36} +(4.51510 - 6.03147i) q^{37} +(0.789545 + 0.0564693i) q^{38} +(3.55795 - 1.62486i) q^{39} +(-1.82324 + 1.29453i) q^{40} +(1.56781 - 10.9044i) q^{41} +(-1.20418 - 5.53553i) q^{42} +(0.671990 + 9.39565i) q^{43} +(-0.984268 - 0.289007i) q^{44} +(-1.76267 - 1.60683i) q^{45} +(0.210454 + 4.79121i) q^{46} +(6.88532 - 6.88532i) q^{47} +(-0.666369 - 1.22036i) q^{48} +(-7.25473 - 6.28626i) q^{49} +(-1.50925 - 4.76678i) q^{50} +(4.67394 + 0.672011i) q^{51} +(0.597961 - 2.74878i) q^{52} +(3.40112 + 1.26855i) q^{53} +(4.27336 - 3.70289i) q^{54} +(1.28832 - 1.89783i) q^{55} +(-3.70605 - 1.69250i) q^{56} +(-0.965992 - 0.527472i) q^{57} +(2.69098 + 1.46939i) q^{58} +(-9.77148 - 4.46249i) q^{59} +(3.05375 - 0.584182i) q^{60} +(-2.54050 + 2.20136i) q^{61} +(-3.48520 - 1.29991i) q^{62} +(0.923777 - 4.24653i) q^{63} +(-0.989821 - 0.142315i) q^{64} +(5.44313 + 3.15264i) q^{65} +(1.07796 + 0.934058i) q^{66} +(-3.86956 - 7.08656i) q^{67} +(2.40136 - 2.40136i) q^{68} +(2.50128 - 6.18145i) q^{69} +(6.13743 - 6.73267i) q^{70} +(-12.3949 - 3.63946i) q^{71} +(-0.0760951 - 1.06395i) q^{72} +(1.27916 + 5.88018i) q^{73} +(-1.07223 + 7.45756i) q^{74} +(-0.844456 + 6.90074i) q^{75} +(-0.720030 + 0.328826i) q^{76} +(4.16879 + 0.298158i) q^{77} +(-2.34402 + 3.13125i) q^{78} +(-0.460558 + 1.00848i) q^{79} +(0.979819 - 2.00996i) q^{80} +(-4.47337 + 1.31350i) q^{81} +(3.84988 + 10.3219i) q^{82} +(-6.62955 - 4.96282i) q^{83} +(3.70978 + 4.28131i) q^{84} +(3.47033 + 6.75443i) q^{85} +(-5.09265 - 7.92432i) q^{86} +(-2.55480 - 3.41281i) q^{87} +(1.00238 - 0.218054i) q^{88} +(5.74936 - 6.63511i) q^{89} +(2.31713 + 0.565524i) q^{90} +11.4611i q^{91} +(-2.48089 - 4.10429i) q^{92} +(3.65721 + 3.65721i) q^{93} +(-2.74332 + 9.34289i) q^{94} +(-0.207700 - 1.75776i) q^{95} +(1.16972 + 0.751731i) q^{96} +(1.32929 - 0.995090i) q^{97} +(9.38000 + 2.04049i) q^{98} +(0.454551 + 0.995328i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) $ 240 * q - 8 * q^3 - 8 * q^6	$ 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) $ 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{22}\right)$

Coefficient data

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

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

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

$2$	−0.877679	+	0.479249i	−0.620613	+	0.338880i
$2$	−0.877679	+	0.479249i	−0.620613	+	0.338880i
$3$	1.38690	−	0.0991931i	0.800728	−	0.0572692i	0.335024	−	0.942210i	$-0.391256\pi$
$3$	1.38690	−	0.0991931i	0.800728	−	0.0572692i	0.465704	+	0.884941i	$0.345801\pi$
$4$	0.540641	−	0.841254i	0.270320	−	0.420627i
$5$	1.42130	+	1.72624i	0.635623	+	0.772000i
$5$	1.42130	+	1.72624i	0.635623	+	0.772000i
$6$	−1.16972	+	0.751731i	−0.477534	+	0.306893i
$7$	−1.42380	+	3.81735i	−0.538145	+	1.44282i	0.328790	+	0.944403i	$0.393359\pi$
$7$	−1.42380	+	3.81735i	−0.538145	+	1.44282i	−0.866935	+	0.498420i	$0.833914\pi$
$8$	−0.0713392	+	0.997452i	−0.0252222	+	0.352653i
$9$	−1.05581	+	0.151803i	−0.351937	+	0.0506008i
$10$	−2.07474	−	0.833933i	−0.656091	−	0.263713i
$11$	−0.289007	−	0.984268i	−0.0871390	−	0.296768i	0.904380	−	0.426727i	$-0.140334\pi$
$11$	−0.289007	−	0.984268i	−0.0871390	−	0.296768i	−0.991519	+	0.129959i	$0.958515\pi$
$12$	0.666369	−	1.22036i	0.192364	−	0.352288i
$13$	2.63570	−	0.983067i	0.731013	−	0.272654i	0.0437297	−	0.999043i	$-0.486076\pi$
$13$	2.63570	−	0.983067i	0.731013	−	0.272654i	0.687283	+	0.726390i	$0.258803\pi$
$14$	−0.579824	−	4.03276i	−0.154964	−	1.07780i
$15$	2.14243	+	2.25315i	0.553173	+	0.581760i
$16$	−0.415415	−	0.909632i	−0.103854	−	0.227408i
$17$	3.31843	+	0.721880i	0.804838	+	0.175082i	0.596121	−	0.802894i	$-0.296708\pi$
$17$	3.31843	+	0.721880i	0.804838	+	0.175082i	0.208716	+	0.977976i	$0.433071\pi$
$18$	0.853911	−	0.639230i	0.201269	−	0.150668i
$19$	−0.665904	−	0.427950i	−0.152769	−	0.0981785i	0.462023	−	0.886868i	$-0.347124\pi$
$19$	−0.665904	−	0.427950i	−0.152769	−	0.0981785i	−0.614792	+	0.788689i	$0.710760\pi$
$20$	2.22062	−	0.262392i	0.496546	−	0.0586727i
$21$	−1.59601	+	5.43552i	−0.348278	+	1.18613i
$22$	0.725365	+	0.725365i	0.154648	+	0.154648i
$23$	2.11147	−	4.30601i	0.440272	−	0.897864i
$23$	2.11147	−	4.30601i	0.440272	−	0.897864i
$24$			1.39044i			0.283823i
$25$	−0.959836	+	4.90701i	−0.191967	+	0.981401i
$26$	−1.84217	+	2.12598i	−0.361279	+	0.416938i
$27$	−5.52525	+	1.20194i	−1.06333	+	0.231314i
$28$	2.44160	+	3.26159i	0.461418	+	0.616383i
$29$	−1.65762	−	2.57930i	−0.307812	−	0.478964i	0.652541	−	0.757754i	$-0.273703\pi$
$29$	−1.65762	−	2.57930i	−0.307812	−	0.478964i	−0.960352	+	0.278789i	$0.910067\pi$
$30$	−2.96018	−	0.950783i	−0.540453	−	0.173588i
$31$	2.43591	+	2.81119i	0.437502	+	0.504904i	0.931089	−	0.364792i	$-0.118860\pi$
$31$	2.43591	+	2.81119i	0.437502	+	0.504904i	−0.493587	+	0.869696i	$0.664315\pi$
$32$	0.800541	+	0.599278i	0.141517	+	0.105938i
$33$	−0.498457	−	1.33642i	−0.0867702	−	0.232640i
$34$	−3.25848	+	0.956775i	−0.558824	+	0.164086i
$35$	−8.61332	+	2.96776i	−1.45592	+	0.501643i
$36$	−0.443109	+	0.970274i	−0.0738516	+	0.161712i
$37$	4.51510	−	6.03147i	0.742279	−	0.991568i	−0.257402	−	0.966304i	$-0.582867\pi$
$37$	4.51510	−	6.03147i	0.742279	−	0.991568i	0.999681	−	0.0252637i	$-0.00804255\pi$
$38$	0.789545	+	0.0564693i	0.128081	+	0.00916054i
$39$	3.55795	−	1.62486i	0.569727	−	0.260186i
$40$	−1.82324	+	1.29453i	−0.288280	+	0.204682i
$41$	1.56781	−	10.9044i	0.244852	−	1.70298i	−0.382264	−	0.924053i	$-0.624855\pi$
$41$	1.56781	−	10.9044i	0.244852	−	1.70298i	0.627115	−	0.778927i	$-0.284236\pi$
$42$	−1.20418	−	5.53553i	−0.185809	−	0.854151i
$43$	0.671990	+	9.39565i	0.102478	+	1.43282i	0.745259	+	0.666775i	$0.232326\pi$
$43$	0.671990	+	9.39565i	0.102478	+	1.43282i	−0.642782	+	0.766049i	$0.722220\pi$
$44$	−0.984268	−	0.289007i	−0.148384	−	0.0435695i
$45$	−1.76267	−	1.60683i	−0.262763	−	0.239532i
$46$	0.210454	+	4.79121i	0.0310297	+	0.706426i
$47$	6.88532	−	6.88532i	1.00433	−	1.00433i	0.00433704	−	0.999991i	$-0.498619\pi$
$47$	6.88532	−	6.88532i	1.00433	−	1.00433i	0.999991	−	0.00433704i	$-0.00138053\pi$
$48$	−0.666369	−	1.22036i	−0.0961820	−	0.176144i
$49$	−7.25473	−	6.28626i	−1.03639	−	0.898036i
$50$	−1.50925	−	4.76678i	−0.213440	−	0.674124i
$51$	4.67394	+	0.672011i	0.654482	+	0.0941004i
$52$	0.597961	−	2.74878i	0.0829222	−	0.381187i
$53$	3.40112	+	1.26855i	0.467179	+	0.174249i	0.572019	−	0.820240i	$-0.306160\pi$
$53$	3.40112	+	1.26855i	0.467179	+	0.174249i	−0.104840	+	0.994489i	$0.533433\pi$
$54$	4.27336	−	3.70289i	0.581531	−	0.503900i
$55$	1.28832	−	1.89783i	0.173717	−	0.255904i
$56$	−3.70605	−	1.69250i	−0.495242	−	0.226170i
$57$	−0.965992	−	0.527472i	−0.127949	−	0.0698653i
$58$	2.69098	+	1.46939i	0.353343	+	0.192940i
$59$	−9.77148	−	4.46249i	−1.27214	−	0.580966i	−0.339103	−	0.940749i	$-0.610123\pi$
$59$	−9.77148	−	4.46249i	−1.27214	−	0.580966i	−0.933036	+	0.359783i	$0.882851\pi$
$60$	3.05375	−	0.584182i	0.394238	−	0.0754176i
$61$	−2.54050	+	2.20136i	−0.325278	+	0.281855i	−0.802156	−	0.597114i	$-0.796314\pi$
$61$	−2.54050	+	2.20136i	−0.325278	+	0.281855i	0.476878	+	0.878970i	$0.341768\pi$
$62$	−3.48520	−	1.29991i	−0.442621	−	0.165089i
$63$	0.923777	−	4.24653i	0.116385	−	0.535013i
$64$	−0.989821	−	0.142315i	−0.123728	−	0.0177894i
$65$	5.44313	+	3.15264i	0.675137	+	0.391037i
$66$	1.07796	+	0.934058i	0.132688	+	0.114975i
$67$	−3.86956	−	7.08656i	−0.472741	−	0.865761i	−0.999872	−	0.0159772i	$-0.994914\pi$
$67$	−3.86956	−	7.08656i	−0.472741	−	0.865761i	0.527131	−	0.849784i	$-0.323268\pi$
$68$	2.40136	−	2.40136i	0.291208	−	0.291208i
$69$	2.50128	−	6.18145i	0.301118	−	0.744159i
$70$	6.13743	−	6.73267i	0.733563	−	0.804708i
$71$	−12.3949	−	3.63946i	−1.47100	−	0.431925i	−0.554576	−	0.832133i	$-0.687120\pi$
$71$	−12.3949	−	3.63946i	−1.47100	−	0.431925i	−0.916424	+	0.400208i	$0.868938\pi$
$72$	−0.0760951	−	1.06395i	−0.00896790	−	0.125388i
$73$	1.27916	+	5.88018i	0.149714	+	0.688223i	0.989408	+	0.145163i	$0.0463708\pi$
$73$	1.27916	+	5.88018i	0.149714	+	0.688223i	−0.839694	+	0.543060i	$0.817266\pi$
$74$	−1.07223	+	7.45756i	−0.124645	+	0.866923i
$75$	−0.844456	+	6.90074i	−0.0975094	+	0.796829i
$76$	−0.720030	+	0.328826i	−0.0825930	+	0.0377190i
$77$	4.16879	+	0.298158i	0.475077	+	0.0339782i
$78$	−2.34402	+	3.13125i	−0.265408	+	0.354544i
$79$	−0.460558	+	1.00848i	−0.0518168	+	0.113463i	−0.933770	−	0.357875i	$-0.883501\pi$
$79$	−0.460558	+	1.00848i	−0.0518168	+	0.113463i	0.881953	+	0.471338i	$0.156229\pi$
$80$	0.979819	−	2.00996i	0.109547	−	0.224721i
$81$	−4.47337	+	1.31350i	−0.497041	+	0.145944i
$82$	3.84988	+	10.3219i	0.425148	+	1.13987i
$83$	−6.62955	−	4.96282i	−0.727688	−	0.544740i	0.169962	−	0.985451i	$-0.445636\pi$
$83$	−6.62955	−	4.96282i	−0.727688	−	0.544740i	−0.897649	+	0.440711i	$0.854727\pi$
$84$	3.70978	+	4.28131i	0.404770	+	0.467130i
$85$	3.47033	+	6.75443i	0.376410	+	0.732620i
$86$	−5.09265	−	7.92432i	−0.549155	−	0.854501i
$87$	−2.55480	−	3.41281i	−0.273903	−	0.365892i
$88$	1.00238	−	0.218054i	0.106854	−	0.0232446i
$89$	5.74936	−	6.63511i	0.609431	−	0.703320i	−0.364234	−	0.931308i	$-0.618669\pi$
$89$	5.74936	−	6.63511i	0.609431	−	0.703320i	0.973664	+	0.227987i	$0.0732145\pi$
$90$	2.31713	+	0.565524i	0.244247	+	0.0596114i
$91$			11.4611i			1.20145i
$92$	−2.48089	−	4.10429i	−0.258651	−	0.427901i
$93$	3.65721	+	3.65721i	0.379235	+	0.379235i
$94$	−2.74332	+	9.34289i	−0.282952	+	0.963645i
$95$	−0.207700	−	1.75776i	−0.0213095	−	0.180342i
$96$	1.16972	+	0.751731i	0.119384	+	0.0767232i
$97$	1.32929	−	0.995090i	0.134968	−	0.101036i	−0.529660	−	0.848210i	$-0.677681\pi$
$97$	1.32929	−	0.995090i	0.134968	−	0.101036i	0.664629	+	0.747174i	$0.268590\pi$
$98$	9.38000	+	2.04049i	0.947523	+	0.206121i
$99$	0.454551	+	0.995328i	0.0456841	+	0.100034i
$100$	3.60911	+	3.46039i	0.360911	+	0.346039i
$101$	−0.0315953	−	0.219750i	−0.00314385	−	0.0218659i	0.988189	−	0.153239i	$-0.0489705\pi$
$101$	−0.0315953	−	0.219750i	−0.00314385	−	0.0218659i	−0.991333	+	0.131373i	$0.958061\pi$
$102$	−4.42428	+	1.65017i	−0.438069	+	0.163391i
$103$	−2.64017	+	4.83510i	−0.260143	+	0.476417i	−0.974807	−	0.223052i	$-0.928398\pi$
$103$	−2.64017	+	4.83510i	−0.260143	+	0.476417i	0.714663	+	0.699469i	$0.246580\pi$
$104$	0.792533	+	2.69912i	0.0777143	+	0.264670i
$105$	−11.6514	+	4.97037i	−1.13706	+	0.485059i
$106$	−3.59304	+	0.516601i	−0.348987	+	0.0501768i
$107$	−0.834965	+	11.6743i	−0.0807191	+	1.12860i	0.782122	+	0.623125i	$0.214137\pi$
$107$	−0.834965	+	11.6743i	−0.0807191	+	1.12860i	−0.862841	+	0.505475i	$0.831317\pi$
$108$	−1.97603	+	5.29795i	−0.190144	+	0.509796i
$109$	9.24960	−	5.94436i	0.885951	−	0.569366i	−0.0166415	−	0.999862i	$-0.505297\pi$
$109$	9.24960	−	5.94436i	0.885951	−	0.569366i	0.902593	+	0.430495i	$0.141661\pi$
$110$	−0.221199	+	2.28312i	−0.0210905	+	0.217687i
$111$	5.66372	−	8.81292i	0.537577	−	0.836486i
$112$	4.06385	−	0.290652i	0.383998	−	0.0274641i
$113$	−6.42488	+	3.50825i	−0.604402	+	0.330028i	−0.752145	−	0.658997i	$-0.770981\pi$
$113$	−6.42488	+	3.50825i	−0.604402	+	0.330028i	0.147744	+	0.989026i	$0.452799\pi$
$114$	1.10062			0.103083
$115$	10.4342	−	2.47519i	0.972998	−	0.230813i
$116$	−3.06602			−0.284673
$117$	−2.63357	+	1.43804i	−0.243474	+	0.132947i
$118$	10.7149	−	0.766342i	0.986383	−	0.0705475i
$119$	−7.48045	+	11.6398i	−0.685732	+	1.06702i
$120$	−2.40024	+	1.97623i	−0.219111	+	0.180404i
$121$	8.36853	−	5.37813i	0.760775	−	0.488921i
$122$	1.17475	−	3.14962i	0.106357	−	0.285153i
$123$	1.09276	−	15.2788i	0.0985311	−	1.37765i
$124$	3.68187	−	0.529373i	0.330642	−	0.0475391i
$125$	−9.83490	+	5.31740i	−0.879660	+	0.475602i
$126$	1.22437	+	4.16981i	0.109075	+	0.371476i
$127$	−9.58476	+	17.5532i	−0.850510	+	1.55759i	−0.0205363	+	0.999789i	$0.506537\pi$
$127$	−9.58476	+	17.5532i	−0.850510	+	1.55759i	−0.829973	+	0.557803i	$0.811644\pi$
$128$	0.936950	−	0.349464i	0.0828154	−	0.0308886i
$129$	1.86397	+	12.9642i	0.164113	+	1.14143i
$130$	−6.28822	−	0.158392i	−0.551513	−	0.0138919i
$131$	3.44128	+	7.53534i	0.300666	+	0.658366i	0.998312	−	0.0580762i	$-0.0184966\pi$
$131$	3.44128	+	7.53534i	0.300666	+	0.658366i	−0.697646	+	0.716442i	$0.745769\pi$
$132$	−1.39375	−	0.303192i	−0.121310	−	0.0263895i
$133$	2.58175	−	1.93267i	0.223866	−	0.167584i
$134$	6.79246	+	4.36525i	0.586779	+	0.377100i
$135$	−9.92786	−	7.82961i	−0.854454	−	0.673865i
$136$	−0.956775	+	3.25848i	−0.0820428	+	0.279412i
$137$	15.4835	+	15.4835i	1.32284	+	1.32284i	0.911466	+	0.411376i	$0.134952\pi$
$137$	15.4835	+	15.4835i	1.32284	+	1.32284i	0.411376	+	0.911466i	$0.365048\pi$
$138$	0.767134	+	6.62406i	0.0653027	+	0.563877i
$139$			12.2339i			1.03766i	0.854877	+	0.518831i	$0.173633\pi$
$139$			12.2339i			1.03766i	−0.854877	+	0.518831i	$0.826367\pi$
$140$	−2.16007	+	8.85048i	−0.182559	+	0.748002i
$141$	8.86628	−	10.2322i	0.746676	−	0.861710i
$142$	12.6229	−	2.74595i	1.05929	−	0.230435i
$143$	−1.72934	−	2.31013i	−0.144615	−	0.193183i
$144$	0.576684	+	0.897337i	0.0480570	+	0.0747781i
$145$	2.09654	−	6.52740i	0.174108	−	0.542071i
$146$	−3.94076	−	4.54788i	−0.326140	−	0.376385i
$147$	−10.6851	−	7.99879i	−0.881295	−	0.659729i
$148$	−2.63295	−	7.05921i	−0.216427	−	0.580263i
$149$	16.3518	−	4.80132i	1.33959	−	0.393339i	0.468067	−	0.883693i	$-0.344951\pi$
$149$	16.3518	−	4.80132i	1.33959	−	0.393339i	0.871523	+	0.490354i	$0.163133\pi$
$150$	−2.56601	−	6.46134i	−0.209514	−	0.527566i
$151$	2.16009	−	4.72994i	0.175786	−	0.384917i	−0.801146	−	0.598469i	$-0.795776\pi$
$151$	2.16009	−	4.72994i	0.175786	−	0.384917i	0.976932	+	0.213552i	$0.0685032\pi$
$152$	0.474365	−	0.633677i	0.0384761	−	0.0513980i
$153$	−3.61321	−	0.258422i	−0.292111	−	0.0208922i
$154$	−3.80175	+	1.73620i	−0.306354	+	0.139907i
$155$	−1.39065	+	8.20050i	−0.111700	+	0.658680i
$156$	0.556652	−	3.87160i	0.0445678	−	0.309976i
$157$	−4.05147	−	18.6243i	−0.323342	−	1.48638i	−0.796087	−	0.605182i	$-0.793100\pi$
$157$	−4.05147	−	18.6243i	−0.323342	−	1.48638i	0.472745	−	0.881199i	$-0.343263\pi$
$158$	−0.0790916	−	1.10584i	−0.00629219	−	0.0879763i
$159$	4.84284	+	1.42199i	0.384062	+	0.112771i
$160$	0.103307	+	2.23368i	0.00816710	+	0.176588i
$161$	13.4312	+	14.1911i	1.05853	+	1.11842i
$162$	3.29669	−	3.29669i	0.259012	−	0.259012i
$163$	−6.87814	−	12.5964i	−0.538737	−	0.986624i	−0.995291	−	0.0969282i	$-0.969098\pi$
$163$	−6.87814	−	12.5964i	−0.538737	−	0.986624i	0.456554	−	0.889696i	$-0.349084\pi$
$164$	−8.32573	−	7.21429i	−0.650131	−	0.563341i
$165$	1.59852	−	2.75990i	0.124445	−	0.214858i
$166$	8.19704	+	1.17856i	0.636214	+	0.0914737i
$167$	2.51615	−	11.5665i	0.194705	−	0.895046i	−0.771289	−	0.636485i	$-0.780388\pi$
$167$	2.51615	−	11.5665i	0.194705	−	0.895046i	0.965995	−	0.258561i	$-0.0832485\pi$
$168$	−5.30781	−	1.97971i	−0.409507	−	0.152738i
$169$	−3.84423	+	3.33104i	−0.295710	+	0.256234i
$170$	−6.28289	−	4.26507i	−0.481875	−	0.327116i
$171$	0.768032	+	0.350748i	0.0587328	+	0.0268224i
$172$	8.26743	+	4.51436i	0.630386	+	0.344217i
$173$	−11.9013	−	6.49861i	−0.904840	−	0.494080i	−0.0417489	−	0.999128i	$-0.513293\pi$
$173$	−11.9013	−	6.49861i	−0.904840	−	0.494080i	−0.863091	+	0.505048i	$0.831475\pi$
$174$	3.87788	+	1.77097i	0.293981	+	0.134257i
$175$	−17.3652	−	10.6506i	−1.31268	−	0.805111i
$176$	−0.775264	+	0.671770i	−0.0584377	+	0.0506366i
$177$	−13.9947	−	5.21976i	−1.05191	−	0.392341i
$178$	−1.86622	+	8.57887i	−0.139879	+	0.643014i
$179$	−16.3989	−	2.35780i	−1.22571	−	0.176230i	−0.501100	−	0.865390i	$-0.667071\pi$
$179$	−16.3989	−	2.35780i	−1.22571	−	0.176230i	−0.724610	+	0.689159i	$0.757980\pi$
$180$	−2.30472	+	0.614132i	−0.171784	+	0.0457747i
$181$	−3.96973	−	3.43979i	−0.295068	−	0.255678i	0.494728	−	0.869048i	$-0.335268\pi$
$181$	−3.96973	−	3.43979i	−0.295068	−	0.255678i	−0.789795	+	0.613370i	$0.789813\pi$
$182$	−5.49272	−	10.0592i	−0.407147	−	0.745635i
$183$	−3.30507	+	3.30507i	−0.244318	+	0.244318i
$184$	4.14440	+	2.41328i	0.305529	+	0.177909i
$185$	16.8291	−	0.778337i	1.23730	−	0.0572245i
$186$	−4.96257	−	1.45714i	−0.363874	−	0.106843i
$187$	−0.248527	−	3.47485i	−0.0181741	−	0.254107i
$188$	−2.06982	−	9.51479i	−0.150957	−	0.693937i
$189$	3.27860	−	22.8031i	0.238483	−	1.65868i
$190$	1.02470	+	1.44321i	0.0743393	+	0.104701i
$191$	14.5671	−	6.65256i	1.05404	−	0.481363i	0.188430	−	0.982087i	$-0.439660\pi$
$191$	14.5671	−	6.65256i	1.05404	−	0.481363i	0.865607	+	0.500724i	$0.166933\pi$
$192$	−1.38690	−	0.0991931i	−0.100091	−	0.00715865i
$193$	−12.8866	+	17.2145i	−0.927597	+	1.23913i	0.0431614	+	0.999068i	$0.486257\pi$
$193$	−12.8866	+	17.2145i	−0.927597	+	1.23913i	−0.970759	+	0.240057i	$0.922834\pi$
$194$	−0.689790	+	1.51043i	−0.0495240	+	0.108442i
$195$	7.86180	+	3.83248i	0.562995	+	0.274449i
$196$	−9.21054	+	2.70446i	−0.657895	+	0.193176i
$197$	9.13962	+	24.5043i	0.651171	+	1.74586i	0.665984	+	0.745966i	$0.268012\pi$
$197$	9.13962	+	24.5043i	0.651171	+	1.74586i	−0.0148135	+	0.999890i	$0.504715\pi$
$198$	−0.875960	−	0.655735i	−0.0622518	−	0.0466011i
$199$	−1.40634	−	1.62301i	−0.0996930	−	0.115052i	0.703711	−	0.710487i	$-0.251525\pi$
$199$	−1.40634	−	1.62301i	−0.0996930	−	0.115052i	−0.803404	+	0.595435i	$0.796980\pi$
$200$	−4.82603	−	1.30745i	−0.341252	−	0.0924508i
$201$	−6.06963	−	9.44453i	−0.428119	−	0.666165i
$202$	0.133045	+	0.177728i	0.00936105	+	0.0125049i
$203$	12.2062	−	2.65530i	0.856709	−	0.186366i
$204$	3.09225	−	3.56865i	0.216501	−	0.249856i
$205$	21.0520	−	12.7919i	1.47033	−	0.893428i
$206$		−	5.50896i		−	0.383828i
$207$	−1.57565	+	4.86685i	−0.109515	+	0.338269i
$208$	−1.98914	−	1.98914i	−0.137922	−	0.137922i
$209$	−0.228767	+	0.779109i	−0.0158241	+	0.0538921i
$210$	7.84418	−	9.94633i	0.541300	−	0.686362i
$211$	8.39156	+	5.39293i	0.577699	+	0.371265i	0.796622	−	0.604477i	$-0.206618\pi$
$211$	8.39156	+	5.39293i	0.577699	+	0.371265i	−0.218923	+	0.975742i	$0.570254\pi$
$212$	2.90596	−	2.17537i	0.199582	−	0.149405i
$213$	−17.5515	−	3.81809i	−1.20261	−	0.261611i
$214$	−4.86208	−	10.6465i	−0.332365	−	0.727778i
$215$	−15.2641	+	14.5140i	−1.04100	+	0.989848i
$216$	−0.804715	−	5.59692i	−0.0547539	−	0.380822i
$217$	−14.1995	+	5.29615i	−0.963927	+	0.359526i
$218$	−5.26936	+	9.65010i	−0.356886	+	0.653587i
$219$	2.35734	+	8.02835i	0.159294	+	0.542505i
$220$	−0.900040	−	2.10985i	−0.0606807	−	0.142246i
$221$	9.45606	−	1.35958i	0.636083	−	0.0914550i
$222$	−0.747345	+	10.4492i	−0.0501585	+	0.701308i
$223$	−2.44978	+	6.56812i	−0.164049	+	0.439834i	−0.992800	−	0.119785i	$-0.961780\pi$
$223$	−2.44978	+	6.56812i	−0.164049	+	0.439834i	0.828750	+	0.559618i	$0.189052\pi$
$224$	−3.42746	+	2.20270i	−0.229007	+	0.147174i
$225$	0.268508	−	5.32657i	0.0179005	−	0.355105i
$226$	3.95766	−	6.15823i	0.263259	−	0.409640i
$227$	5.82619	−	0.416698i	0.386698	−	0.0276572i	0.123363	−	0.992362i	$-0.460632\pi$
$227$	5.82619	−	0.416698i	0.386698	−	0.0276572i	0.263335	+	0.964704i	$0.415178\pi$
$228$	−0.965992	+	0.527472i	−0.0639744	+	0.0349327i
$229$	1.11084			0.0734062			0.0367031	−	0.999326i	$-0.488314\pi$
$229$	1.11084			0.0734062			0.0367031	+	0.999326i	$0.488314\pi$
$230$	−7.97168	+	7.17302i	−0.525637	+	0.472975i
$231$	5.81127			0.382353
$232$	2.69098	−	1.46939i	0.176672	−	0.0964701i
$233$	14.2513	−	1.01927i	0.933635	−	0.0667749i	0.403774	−	0.914859i	$-0.367698\pi$
$233$	14.2513	−	1.01927i	0.933635	−	0.0667749i	0.529862	+	0.848084i	$0.322244\pi$
$234$	1.62225	−	2.52427i	0.106050	−	0.165017i
$235$	21.6718	+	2.09967i	1.41371	+	0.136967i
$236$	−9.03694	+	5.80769i	−0.588255	+	0.378048i
$237$	−0.538714	+	1.44435i	−0.0349932	+	0.0938205i
$238$	0.987068	−	13.8010i	0.0639821	−	0.894587i
$239$	2.28684	−	0.328799i	0.147924	−	0.0212682i	−0.0679551	−	0.997688i	$-0.521647\pi$
$239$	2.28684	−	0.328799i	0.147924	−	0.0212682i	0.215879	+	0.976420i	$0.430738\pi$
$240$	1.15954	−	2.88481i	0.0748478	−	0.186214i
$241$	1.72920	+	5.88911i	0.111387	+	0.379351i	0.996252	−	0.0864975i	$-0.0275675\pi$
$241$	1.72920	+	5.88911i	0.111387	+	0.379351i	−0.884865	+	0.465848i	$0.845749\pi$
$242$	−4.76742	+	8.73088i	−0.306461	+	0.561242i
$243$	9.82003	−	3.66268i	0.629956	−	0.234961i
$244$	0.478401	+	3.32735i	0.0306265	+	0.213012i
$245$	0.540499	−	21.4581i	0.0345312	−	1.37090i
$246$	6.36327	+	13.9336i	0.405707	+	0.888375i
$247$	−2.17583	−	0.473323i	−0.138445	−	0.0301168i
$248$	−2.97780	+	2.22915i	−0.189091	+	0.141551i
$249$	−9.68680	−	6.22533i	−0.613876	−	0.394514i
$250$	6.08353	−	9.38033i	0.384756	−	0.593264i
$251$	−3.89324	+	13.2592i	−0.245739	+	0.836911i	0.740566	+	0.671983i	$0.234557\pi$
$251$	−3.89324	+	13.2592i	−0.245739	+	0.836911i	−0.986306	+	0.164928i	$0.947261\pi$
$252$	−3.07298	−	3.07298i	−0.193580	−	0.193580i
$253$	−4.84850	−	0.833789i	−0.304822	−	0.0524199i
$254$		−	19.9995i		−	1.25488i
$255$	5.48300	+	9.02349i	0.343359	+	0.565073i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−20.6441	+	4.49085i	−1.28774	+	0.280132i	−0.803765	−	0.594947i	$-0.797173\pi$
$257$	−20.6441	+	4.49085i	−1.28774	+	0.280132i	−0.483980	+	0.875079i	$0.660809\pi$
$258$	−7.84904	−	10.4851i	−0.488660	−	0.652773i
$259$	16.5957	+	25.8233i	1.03120	+	1.60458i
$260$	5.59495	−	2.87461i	0.346984	−	0.178275i
$261$	2.14167	+	2.47162i	0.132566	+	0.152990i
$262$	−6.63164	−	4.96438i	−0.409704	−	0.306701i
$263$	−0.164821	−	0.441902i	−0.0101633	−	0.0272488i	0.931769	−	0.363052i	$-0.118265\pi$
$263$	−0.164821	−	0.441902i	−0.0101633	−	0.0272488i	−0.941932	+	0.335803i	$0.890992\pi$
$264$	1.36857	−	0.401848i	0.0842296	−	0.0247321i
$265$	2.64416	+	7.67414i	0.162430	+	0.471419i
$266$	−1.33972	+	2.93357i	−0.0821432	+	0.179869i
$267$	7.31563	−	9.77254i	0.447709	−	0.598070i
$268$	−8.05363	−	0.576007i	−0.491954	−	0.0351852i
$269$	6.81159	−	3.11075i	0.415310	−	0.189666i	−0.196791	−	0.980445i	$-0.563052\pi$
$269$	6.81159	−	3.11075i	0.415310	−	0.189666i	0.612101	+	0.790780i	$0.290325\pi$
$270$	12.4658	+	2.11396i	0.758645	+	0.128652i
$271$	−0.308941	+	2.14873i	−0.0187668	+	0.130526i	−0.997051	−	0.0767421i	$-0.975548\pi$
$271$	−0.308941	+	2.14873i	−0.0187668	+	0.130526i	0.978284	+	0.207268i	$0.0664573\pi$
$272$	−0.721880	−	3.31843i	−0.0437704	−	0.201209i
$273$	1.13686	+	15.8954i	0.0688060	+	0.962034i
$274$	−21.0099	−	6.16908i	−1.26926	−	0.372688i
$275$	5.10721	−	0.473424i	0.307976	−	0.0285486i
$276$	−3.84787	−	5.44615i	−0.231615	−	0.327820i
$277$	−23.0849	+	23.0849i	−1.38703	+	1.38703i	−0.555555	+	0.831480i	$0.687494\pi$
$277$	−23.0849	+	23.0849i	−1.38703	+	1.38703i	−0.831480	+	0.555555i	$0.812506\pi$
$278$	−5.86306	−	10.7374i	−0.351643	−	0.643986i
$279$	−2.99860	−	2.59830i	−0.179521	−	0.155556i
$280$	−2.34573	−	8.80309i	−0.140184	−	0.526085i
$281$	−13.1243	−	1.88699i	−0.782929	−	0.112568i	−0.260753	−	0.965406i	$-0.583971\pi$
$281$	−13.1243	−	1.88699i	−0.782929	−	0.112568i	−0.522176	+	0.852837i	$0.674880\pi$
$282$	−2.87796	+	13.2298i	−0.171380	+	0.787822i
$283$	−27.1415	−	10.1233i	−1.61340	−	0.601766i	−0.628950	−	0.777446i	$-0.716515\pi$
$283$	−27.1415	−	10.1233i	−1.61340	−	0.601766i	−0.984447	+	0.175679i	$0.943788\pi$
$284$	−9.76288	+	8.45959i	−0.579321	+	0.501984i
$285$	−0.462416	−	2.41723i	−0.0273912	−	0.143184i
$286$	2.62493	+	1.19877i	0.155215	+	0.0708845i
$287$	39.3936	+	21.5106i	2.32533	+	1.26973i
$288$	−0.936191	−	0.511199i	−0.0551656	−	0.0301227i
$289$	−4.97287	−	2.27104i	−0.292522	−	0.133590i
$290$	1.28816	+	6.73373i	0.0756434	+	0.395418i
$291$	1.74488	−	1.51195i	0.102287	−	0.0886319i
$292$	5.63829	+	2.10297i	0.329956	+	0.123067i
$293$	4.61201	−	21.2011i	0.269436	−	1.23858i	−0.621123	−	0.783713i	$-0.713323\pi$
$293$	4.61201	−	21.2011i	0.269436	−	1.23858i	0.890560	−	0.454866i	$-0.150313\pi$
$294$	13.2115	+	1.89953i	0.770512	+	0.110783i
$295$	−6.18483	−	23.2105i	−0.360095	−	1.35137i
$296$	5.69400	+	4.93388i	0.330957	+	0.286776i
$297$	2.77987	+	5.09096i	0.161305	+	0.295407i
$298$	−12.0506	+	12.0506i	−0.698072	+	0.698072i
$299$	1.33213	−	13.4251i	0.0770388	−	0.776392i
$300$	5.34873	+	4.44122i	0.308809	+	0.256414i
$301$	−36.8233	−	10.8123i	−2.12246	−	0.623210i
$302$	0.370952	+	5.18659i	0.0213459	+	0.298455i
$303$	−0.0656172	−	0.301637i	−0.00376961	−	0.0173286i
$304$	−0.112651	+	0.783504i	−0.00646097	+	0.0449371i
$305$	−7.41089	−	1.25675i	−0.424346	−	0.0719611i
$306$	3.29509	−	1.50482i	0.188368	−	0.0860247i
$307$	16.0256	+	1.14617i	0.914628	+	0.0654155i	0.520713	−	0.853732i	$-0.325666\pi$
$307$	16.0256	+	1.14617i	0.914628	+	0.0654155i	0.393915	+	0.919147i	$0.371121\pi$
$308$	2.50464	−	3.34581i	0.142715	−	0.190645i
$309$	−3.18204	+	6.96769i	−0.181020	+	0.396378i
$310$	−2.70954	−	7.86387i	−0.153891	−	0.446638i
$311$	6.84774	−	2.01068i	0.388300	−	0.114015i	−0.0817548	−	0.996652i	$-0.526052\pi$
$311$	6.84774	−	2.01068i	0.388300	−	0.114015i	0.470055	+	0.882637i	$0.344234\pi$
$312$	1.36690	+	3.66480i	0.0773854	+	0.207478i
$313$	20.9054	+	15.6496i	1.18165	+	0.884569i	0.995197	−	0.0978957i	$-0.0312112\pi$
$313$	20.9054	+	15.6496i	1.18165	+	0.884569i	0.186449	+	0.982465i	$0.440302\pi$
$314$	12.4816	+	14.4045i	0.704376	+	0.812893i
$315$	8.64351	−	4.44092i	0.487007	−	0.250217i
$316$	0.599392	+	0.932672i	0.0337184	+	0.0524669i
$317$	−13.7773	−	18.4044i	−0.773812	−	1.03369i	−0.998246	−	0.0592025i	$-0.981144\pi$
$317$	−13.7773	−	18.4044i	−0.773812	−	1.03369i	0.224434	−	0.974489i	$-0.427947\pi$
$318$	−4.93195	+	1.07288i	−0.276570	+	0.0601641i
$319$	−2.05966	+	2.37698i	−0.115319	+	0.133085i
$320$	−1.16116	−	1.91094i	−0.0649108	−	0.106825i
$321$			16.2740i			0.908325i
$322$	−18.5894	−	6.01834i	−1.03595	−	0.335389i
$323$	−1.90083	−	1.90083i	−0.105765	−	0.105765i
$324$	−1.31350	+	4.47337i	−0.0729722	+	0.248521i
$325$	2.29407	+	13.8770i	0.127252	+	0.769757i
$326$	12.0736	+	7.75923i	0.668695	+	0.429744i
$327$	12.2386	−	9.16173i	0.676799	−	0.506645i
$328$	10.7648	+	2.34173i	0.594385	+	0.129300i
$329$	16.4804	+	36.0870i	0.908593	+	1.98954i
$330$	−0.0803113	+	3.18840i	−0.00442099	+	0.175515i
$331$	−4.30281	−	29.9267i	−0.236504	−	1.64492i	−0.668985	−	0.743276i	$-0.733271\pi$
$331$	−4.30281	−	29.9267i	−0.236504	−	1.64492i	0.432481	−	0.901643i	$-0.357638\pi$
$332$	−7.75919	+	2.89403i	−0.425841	+	0.158831i
$333$	−3.85150	+	7.05349i	−0.211061	+	0.386529i
$334$	3.33488	+	11.3576i	0.182477	+	0.621459i
$335$	6.73335	−	16.7519i	0.367882	−	0.915254i
$336$	5.60733	−	0.806212i	0.305905	−	0.0439825i
$337$	1.22606	−	17.1426i	0.0667879	−	0.933817i	−0.848029	−	0.529949i	$-0.822211\pi$
$337$	1.22606	−	17.1426i	0.0667879	−	0.933817i	0.914817	−	0.403868i	$-0.132334\pi$
$338$	1.77760	−	4.76593i	0.0966887	−	0.259232i
$339$	−8.56267	+	5.50290i	−0.465061	+	0.298876i
$340$	7.55839	+	0.732291i	0.409911	+	0.0397141i
$341$	2.06297	−	3.21004i	0.111716	−	0.173833i
$342$	−0.842181	+	0.0602340i	−0.0455399	+	0.00325708i
$343$	9.29503	−	5.07547i	0.501885	−	0.274050i
$344$	−9.41965			−0.507874
$345$	14.2257	−	4.46785i	0.765888	−	0.240541i
$346$	13.5600			0.728989
$347$	12.6341	−	6.89875i	0.678235	−	0.370344i	−0.102913	−	0.994690i	$-0.532816\pi$
$347$	12.6341	−	6.89875i	0.678235	−	0.370344i	0.781148	+	0.624346i	$0.214634\pi$
$348$	−4.25227	+	0.304128i	−0.227946	+	0.0163030i
$349$	9.89283	−	15.3935i	0.529551	−	0.823998i	−0.468685	−	0.883365i	$-0.655272\pi$
$349$	9.89283	−	15.3935i	0.529551	−	0.823998i	0.998236	+	0.0593678i	$0.0189085\pi$
$350$	20.3453	+	1.02559i	1.08750	+	0.0548202i
$351$	−13.3813	+	8.59966i	−0.714242	+	0.459016i
$352$	0.358488	−	0.961143i	0.0191075	−	0.0512291i
$353$	−1.70302	+	23.8113i	−0.0906426	+	1.26735i	0.724982	+	0.688768i	$0.241848\pi$
$353$	−1.70302	+	23.8113i	−0.0906426	+	1.26735i	−0.815625	+	0.578581i	$0.803607\pi$
$354$	14.7844	−	2.12568i	0.785784	−	0.112979i
$355$	−11.3342	−	26.5693i	−0.601556	−	1.41015i
$356$	−2.47347	−	8.42388i	−0.131094	−	0.446465i
$357$	−9.22005	+	16.8853i	−0.487977	+	0.893663i
$358$	15.5229	−	5.78975i	0.820412	−	0.305998i
$359$	3.48554	+	24.2424i	0.183960	+	1.27947i	0.847286	+	0.531137i	$0.178235\pi$
$359$	3.48554	+	24.2424i	0.183960	+	1.27947i	−0.663327	+	0.748330i	$0.730856\pi$
$360$	1.72848	−	1.64355i	0.0910990	−	0.0866224i
$361$	−7.63260	−	16.7131i	−0.401716	−	0.879635i
$362$	5.13267	+	1.11654i	0.269767	+	0.0586842i
$363$	11.0728	−	8.28903i	0.581174	−	0.435061i
$364$	9.64169	+	6.19634i	0.505362	+	0.324776i
$365$	−8.33257	+	10.5656i	−0.436147	+	0.553029i
$366$	1.31684	−	4.48474i	0.0688322	−	0.234421i
$367$	15.8158	+	15.8158i	0.825579	+	0.825579i	0.986902	−	0.161322i	$-0.0515759\pi$
$367$	15.8158	+	15.8158i	0.825579	+	0.825579i	−0.161322	+	0.986902i	$0.551576\pi$
$368$	−4.79402	−	0.131884i	−0.249905	−	0.00687491i
$369$			11.7510i			0.611731i
$370$	−14.3975	+	8.74846i	−0.748492	+	0.454811i
$371$	−9.68501	+	11.1771i	−0.502821	+	0.580286i
$372$	5.05388	−	1.09940i	0.262032	−	0.0570015i
$373$	0.957411	+	1.27895i	0.0495729	+	0.0662216i	0.824643	−	0.565654i	$-0.191376\pi$
$373$	0.957411	+	1.27895i	0.0495729	+	0.0662216i	−0.775070	+	0.631876i	$0.782285\pi$
$374$	1.88345	+	2.93070i	0.0973907	+	0.151543i
$375$	−13.1126	+	8.35026i	−0.677131	+	0.431205i
$376$	6.37659	+	7.35897i	0.328847	+	0.379510i
$377$	−6.90461	−	5.16873i	−0.355606	−	0.266203i
$378$	8.05083	+	21.5851i	0.414090	+	1.11022i
$379$	−0.711330	+	0.208865i	−0.0365385	+	0.0107287i	−0.299951	−	0.953955i	$-0.596970\pi$
$379$	−0.711330	+	0.208865i	−0.0365385	+	0.0107287i	0.263412	+	0.964683i	$0.415152\pi$
$380$	−1.59101	−	0.775587i	−0.0816171	−	0.0397868i
$381$	−11.5520	+	25.2953i	−0.591825	+	1.29591i
$382$	−9.59699	+	12.8201i	−0.491025	+	0.655932i
$383$	−11.4141	−	0.816349i	−0.583231	−	0.0417135i	−0.223393	−	0.974728i	$-0.571713\pi$
$383$	−11.4141	−	0.816349i	−0.583231	−	0.0417135i	−0.359838	+	0.933015i	$0.617168\pi$
$384$	1.26479	−	0.577611i	0.0645436	−	0.0294761i
$385$	5.41039	+	7.62011i	0.275739	+	0.388357i
$386$	3.06027	−	21.2847i	0.155764	−	1.08336i
$387$	−2.13578	−	9.81801i	−0.108568	−	0.499078i
$388$	−0.118457	−	1.65625i	−0.00601377	−	0.0840835i
$389$	−25.5010	−	7.48778i	−1.29295	−	0.379645i	−0.438292	−	0.898832i	$-0.644417\pi$
$389$	−25.5010	−	7.48778i	−1.29295	−	0.379645i	−0.854661	+	0.519187i	$0.826235\pi$
$390$	−8.73685	+	0.404075i	−0.442407	+	0.0204611i
$391$	10.1152	−	12.7649i	0.511547	−	0.645551i
$392$	6.78778	−	6.78778i	0.342835	−	0.342835i
$393$	5.52016	+	10.1094i	0.278455	+	0.509953i
$394$	−19.7653	−	17.1267i	−0.995761	−	0.862832i
$395$	−2.39547	+	0.638315i	−0.120529	+	0.0321171i
$396$	1.08307	+	0.155722i	0.0544264	+	0.00782534i
$397$	−1.15007	+	5.28681i	−0.0577206	+	0.265337i	−0.996959	−	0.0779283i	$-0.975169\pi$
$397$	−1.15007	+	5.28681i	−0.0577206	+	0.265337i	0.939238	+	0.343266i	$0.111533\pi$
$398$	2.01214	+	0.750490i	0.100860	+	0.0376187i
$399$	3.38892	−	2.93652i	0.169658	−	0.147010i
$400$	4.86230	−	1.16535i	0.243115	−	0.0582673i
$401$	−22.5036	−	10.2771i	−1.12378	−	0.513212i	−0.235204	−	0.971946i	$-0.575576\pi$
$401$	−22.5036	−	10.2771i	−1.12378	−	0.513212i	−0.888574	+	0.458734i	$0.848303\pi$
$402$	9.85346	+	5.38040i	0.491446	+	0.268350i
$403$	9.18392	+	5.01480i	0.457483	+	0.249805i
$404$	−0.201947	−	0.0922262i	−0.0100472	−	0.00458842i
$405$	−8.62540	−	5.85525i	−0.428600	−	0.290950i
$406$	−9.44059	+	8.18032i	−0.468529	+	0.405982i
$407$	−7.24149	−	2.70093i	−0.358947	−	0.133880i
$408$	−1.00373	+	4.61409i	−0.0496922	+	0.228432i
$409$	−13.3095	−	1.91361i	−0.658110	−	0.0946220i	−0.194834	−	0.980836i	$-0.562417\pi$
$409$	−13.3095	−	1.91361i	−0.658110	−	0.0946220i	−0.463276	+	0.886214i	$0.653326\pi$
$410$	−12.3463	+	21.3163i	−0.609743	+	1.05274i
$411$	23.0099	+	19.9382i	1.13499	+	0.983478i
$412$	2.64017	+	4.83510i	0.130072	+	0.238208i
$413$	30.9475	−	30.9475i	1.52283	−	1.52283i
$414$	−0.949517	−	5.02666i	−0.0466662	−	0.247047i
$415$	−0.855516	−	18.4979i	−0.0419956	−	0.908024i
$416$	2.69912	+	0.792533i	0.132335	+	0.0388571i
$417$	1.21351	+	16.9671i	0.0594260	+	0.830884i
$418$	−0.172603	−	0.793444i	−0.00844229	−	0.0388086i
$419$	−0.706224	+	4.91189i	−0.0345013	+	0.239962i	−0.999773	−	0.0212846i	$-0.993224\pi$
$419$	−0.706224	+	4.91189i	−0.0345013	+	0.239962i	0.965272	+	0.261246i	$0.0841335\pi$
$420$	−2.11790	+	12.4890i	−0.103343	+	0.609401i
$421$	−11.6038	+	5.29927i	−0.565534	+	0.258271i	−0.677601	−	0.735430i	$-0.736980\pi$
$421$	−11.6038	+	5.29927i	−0.565534	+	0.258271i	0.112067	+	0.993701i	$0.464253\pi$
$422$	−9.94966	−	0.711613i	−0.484342	−	0.0346408i
$423$	−6.22438	+	8.31480i	−0.302640	+	0.404279i
$424$	−1.50795	+	3.30195i	−0.0732326	+	0.160357i
$425$	−6.72742	+	15.5907i	−0.326328	+	0.756259i
$426$	17.2344	−	5.06047i	0.835008	−	0.245180i
$427$	−4.78620	−	12.8323i	−0.231620	−	0.620998i
$428$	9.36966	+	7.01404i	0.452900	+	0.339036i
$429$	−2.62757	−	3.03238i	−0.126860	−	0.146405i
$430$	6.44114	−	20.0540i	0.310619	−	0.967088i
$431$	8.38407	+	13.0459i	0.403847	+	0.628397i	0.982299	−	0.187318i	$-0.0599796\pi$
$431$	8.38407	+	13.0459i	0.403847	+	0.628397i	−0.578453	+	0.815716i	$0.696343\pi$
$432$	3.38860	+	4.52664i	0.163034	+	0.217788i
$433$	−27.2094	+	5.91904i	−1.30760	+	0.284451i	−0.811774	−	0.583972i	$-0.801498\pi$
$433$	−27.2094	+	5.91904i	−1.30760	+	0.284451i	−0.495825	+	0.868423i	$0.665134\pi$
$434$	9.92446	−	11.4534i	0.476389	−	0.549782i
$435$	2.26022	−	9.26082i	0.108369	−	0.444022i
$436$		−	10.9950i		−	0.526566i
$437$	−3.24879	+	1.96378i	−0.155411	+	0.0939403i
$438$	−5.91656	−	5.91656i	−0.282704	−	0.282704i
$439$	4.83218	−	16.4569i	0.230627	−	0.785445i	−0.760127	−	0.649775i	$-0.774863\pi$
$439$	4.83218	−	16.4569i	0.230627	−	0.785445i	0.990754	−	0.135670i	$-0.0433186\pi$
$440$	1.80109	+	1.42043i	0.0858636	+	0.0677163i
$441$	8.61388	+	5.53580i	0.410185	+	0.263610i
$442$	−7.64781	+	5.72508i	−0.363769	+	0.272314i
$443$	−26.0096	−	5.65803i	−1.23575	−	0.268821i	−0.453201	−	0.891408i	$-0.649718\pi$
$443$	−26.0096	−	5.65803i	−1.23575	−	0.268821i	−0.782550	+	0.622587i	$0.786082\pi$
$444$	−4.35186	−	9.52925i	−0.206530	−	0.452238i
$445$	19.6254	+	0.494336i	0.930331	+	0.0234338i
$446$	−0.997642	−	6.93875i	−0.0472397	−	0.328560i
$447$	22.2020	−	8.28093i	1.05012	−	0.391675i
$448$	1.95257	−	3.57587i	0.0922504	−	0.168944i
$449$	−3.04421	−	10.3676i	−0.143665	−	0.489279i	0.855949	−	0.517061i	$-0.172974\pi$
$449$	−3.04421	−	10.3676i	−0.143665	−	0.489279i	−0.999614	+	0.0277818i	$0.991156\pi$
$450$	2.31709	+	4.80370i	0.109229	+	0.226449i
$451$	−11.1860	+	1.60830i	−0.526726	+	0.0757318i
$452$	−0.522225	+	7.30165i	−0.0245634	+	0.343441i
$453$	2.52666	−	6.77422i	0.118713	−	0.318281i
$454$	−4.91383	+	3.15792i	−0.230617	+	0.148209i
$455$	−19.7847	+	16.2896i	−0.927519	+	0.763669i
$456$	0.595041	−	0.925902i	0.0278653	−	0.0433593i
$457$	1.70372	−	0.121853i	0.0796968	−	0.00570003i	−0.0314338	−	0.999506i	$-0.510007\pi$
$457$	1.70372	−	0.121853i	0.0796968	−	0.00570003i	0.111131	+	0.993806i	$0.464553\pi$
$458$	−0.974959	+	0.532368i	−0.0455568	+	0.0248759i
$459$	−19.2028			−0.896310
$460$	3.55891	−	10.1160i	0.165935	−	0.471662i
$461$	−10.8674			−0.506147			−0.253074	−	0.967447i	$-0.581441\pi$
$461$	−10.8674			−0.506147			−0.253074	+	0.967447i	$0.581441\pi$
$462$	−5.10043	+	2.78504i	−0.237293	+	0.129572i
$463$	13.9981	−	1.00116i	0.650547	−	0.0465280i	0.257834	−	0.966189i	$-0.416991\pi$
$463$	13.9981	−	1.00116i	0.650547	−	0.0465280i	0.392713	+	0.919661i	$0.371537\pi$
$464$	−1.65762	+	2.57930i	−0.0769529	+	0.119741i
$465$	−1.11526	+	11.5112i	−0.0517189	+	0.533820i
$466$	−12.0196	+	7.72453i	−0.556797	+	0.357832i
$467$	5.38818	−	14.4463i	0.249335	−	0.668494i	−0.750635	−	0.660718i	$-0.770252\pi$
$467$	5.38818	−	14.4463i	0.249335	−	0.668494i	0.999970	−	0.00777596i	$-0.00247519\pi$
$468$	−0.214061	+	2.99296i	−0.00989497	+	0.138350i
$469$	32.5614	−	4.68162i	1.50354	−	0.216177i
$470$	−20.0272	+	8.54337i	−0.923785	+	0.394076i
$471$	−7.46639	−	25.4282i	−0.344033	−	1.17167i
$472$	5.14821	−	9.42823i	0.236965	−	0.433970i
$473$	9.05364	−	3.37683i	0.416287	−	0.155267i
$474$	−0.219384	−	1.52585i	−0.0100767	−	0.0700847i
$475$	2.73911	−	2.85683i	0.125679	−	0.131080i
$476$	5.74779	+	12.5859i	0.263450	+	0.576874i
$477$	−3.78350	−	0.823050i	−0.173235	−	0.0376849i
$478$	−1.84954	+	1.38455i	−0.0845959	+	0.0633277i
$479$	−14.1802	−	9.11308i	−0.647911	−	0.416387i	0.174991	−	0.984570i	$-0.444010\pi$
$479$	−14.1802	−	9.11308i	−0.647911	−	0.416387i	−0.822902	+	0.568183i	$0.807647\pi$
$480$	0.364842	+	3.08765i	0.0166527	+	0.140931i
$481$	5.97114	−	20.3358i	0.272260	−	0.927234i
$482$	−4.34003	−	4.34003i	−0.197683	−	0.197683i
$483$	20.0354	+	18.3494i	0.911644	+	0.834926i
$484$		−	9.94769i		−	0.452168i
$485$	3.60708	+	0.880352i	0.163789	+	0.0399747i
$486$	−6.86350	+	7.92090i	−0.311335	+	0.359299i
$487$	13.2475	−	2.88182i	0.600302	−	0.130588i	0.0978622	−	0.995200i	$-0.468800\pi$
$487$	13.2475	−	2.88182i	0.600302	−	0.130588i	0.502440	+	0.864612i	$0.332436\pi$
$488$	−2.01451	−	2.69107i	−0.0911927	−	0.121819i
$489$	−10.7888	−	16.7877i	−0.487885	−	0.759164i
$490$	9.80937	+	19.0923i	0.443142	+	0.862503i
$491$	3.22991	+	3.72752i	0.145764	+	0.168220i	0.823936	−	0.566682i	$-0.191773\pi$
$491$	3.22991	+	3.72752i	0.145764	+	0.168220i	−0.678173	+	0.734903i	$0.737228\pi$
$492$	−12.2626	−	9.17965i	−0.552840	−	0.413851i
$493$	−3.63874	−	9.75584i	−0.163881	−	0.439381i
$494$	2.13652	−	0.627339i	0.0961265	−	0.0282253i
$495$	−1.07213	+	2.19932i	−0.0481885	+	0.0988522i
$496$	1.54523	−	3.38359i	0.0693830	−	0.151928i
$497$	31.5409	−	42.1337i	1.41480	−	1.88996i
$498$	11.4854	+	0.821451i	0.514673	+	0.0368101i
$499$	25.8072	−	11.7858i	1.15529	−	0.527603i	0.256742	−	0.966480i	$-0.417351\pi$
$499$	25.8072	−	11.7858i	1.15529	−	0.527603i	0.898547	+	0.438877i	$0.144624\pi$
$500$	−0.843870	+	11.1484i	−0.0377390	+	0.498574i
$501$	2.34233	−	16.2912i	0.104647	−	0.727839i
$502$	−2.93742	−	13.5031i	−0.131104	−	0.602674i
$503$	−0.0324759	−	0.454073i	−0.00144803	−	0.0202461i	0.996677	−	0.0814586i	$-0.0259578\pi$
$503$	−0.0324759	−	0.454073i	−0.00144803	−	0.0202461i	−0.998125	+	0.0612125i	$0.980503\pi$
$504$	4.16981	+	1.22437i	0.185738	+	0.0545377i
$505$	0.334436	−	0.366871i	0.0148822	−	0.0163255i
$506$	4.65502	−	1.59184i	0.206941	−	0.0707658i
$507$	−5.00115	+	5.00115i	−0.222109	+	0.222109i
$508$	9.58476	+	17.5532i	0.425255	+	0.778796i
$509$	9.93188	+	8.60602i	0.440223	+	0.381455i	0.846582	−	0.532258i	$-0.178656\pi$
$509$	9.93188	+	8.60602i	0.440223	+	0.381455i	−0.406359	+	0.913713i	$0.633202\pi$
$510$	−9.13681	−	5.29200i	−0.404585	−	0.234334i
$511$	−24.2680	−	3.48921i	−1.07355	−	0.154354i
$512$	0.212565	−	0.977147i	0.00939415	−	0.0431842i
$513$	4.19366	+	1.56415i	0.185154	+	0.0690590i
$514$	15.9667	−	13.8352i	0.704260	−	0.610244i
$515$	−12.0990	+	2.31454i	−0.533147	+	0.101991i
$516$	11.9139	+	5.44090i	0.524480	+	0.239522i
$517$	−8.76691	−	4.78710i	−0.385568	−	0.210536i
$518$	−26.9415	−	14.7112i	−1.18374	−	0.646371i
$519$	−17.1506	−	7.83240i	−0.752826	−	0.343804i
$520$	−3.53292	+	5.20435i	−0.154929	+	0.228226i
$521$	−28.2126	+	24.4464i	−1.23602	+	1.07102i	−0.241082	+	0.970505i	$0.577502\pi$
$521$	−28.2126	+	24.4464i	−1.23602	+	1.07102i	−0.994936	+	0.100511i	$0.967952\pi$
$522$	−3.06422	−	1.14290i	−0.134117	−	0.0500232i
$523$	−5.18409	+	23.8309i	−0.226685	+	1.04205i	0.713306	+	0.700853i	$0.247197\pi$
$523$	−5.18409	+	23.8309i	−0.226685	+	1.04205i	−0.939991	+	0.341200i	$0.889167\pi$
$524$	8.19963	+	1.17893i	0.358202	+	0.0515017i
$525$	−25.1402	−	13.0489i	−1.09721	−	0.569499i
$526$	0.356441	+	0.308858i	0.0155416	+	0.0134668i
$527$	6.05405	+	11.0872i	0.263719	+	0.482964i
$528$	−1.00858	+	1.00858i	−0.0438928	+	0.0438928i
$529$	−14.0834	−	18.1840i	−0.612320	−	0.790610i
$530$	−5.99855	−	5.46822i	−0.260561	−	0.237524i
$531$	10.9942	+	3.22820i	0.477109	+	0.140092i
$532$	−0.230069	−	3.21679i	−0.00997477	−	0.139465i
$533$	−6.58745	−	30.2820i	−0.285334	−	1.31166i
$534$	−1.73730	+	12.0832i	−0.0751801	+	0.522889i
$535$	−21.3395	+	15.1513i	−0.922586	+	0.655049i
$536$	7.34456	−	3.35415i	0.317237	−	0.144877i
$537$	−22.9775	−	1.64338i	−0.991552	−	0.0709172i
$538$	−4.48756	+	5.99468i	−0.193473	+	0.258449i
$539$	−4.09069	+	8.95737i	−0.176199	+	0.385821i
$540$	−11.9541	+	4.11884i	−0.514422	+	0.177247i
$541$	6.45639	−	1.89577i	0.277582	−	0.0815054i	−0.139979	−	0.990155i	$-0.544703\pi$
$541$	6.45639	−	1.89577i	0.277582	−	0.0815054i	0.417560	+	0.908649i	$0.362885\pi$
$542$	−0.758627	−	2.03396i	−0.0325858	−	0.0873659i
$543$	−5.84683	−	4.37688i	−0.250911	−	0.187830i
$544$	2.22393	+	2.56656i	0.0953504	+	0.110040i
$545$	23.4078	+	7.51838i	1.00268	+	0.322052i
$546$	−8.61566	−	13.4062i	−0.368716	−	0.573733i
$547$	−27.6287	−	36.9076i	−1.18132	−	1.57806i	−0.725940	−	0.687758i	$-0.758595\pi$
$547$	−27.6287	−	36.9076i	−1.18132	−	1.57806i	−0.455378	−	0.890298i	$-0.650496\pi$
$548$	21.3965	−	4.65453i	0.914014	−	0.198832i
$549$	2.34812	−	2.70987i	0.100215	−	0.115654i
$550$	−4.25560	+	2.86314i	−0.181460	+	0.122085i
$551$			2.42694i			0.103391i
$552$	5.98726	+	2.93588i	0.254835	+	0.124959i
$553$	−3.19399	−	3.19399i	−0.135822	−	0.135822i
$554$	9.19770	−	31.3245i	0.390773	−	1.33085i
$555$	23.2631	−	2.74881i	0.987463	−	0.116680i
$556$	10.2918	+	6.61412i	0.436468	+	0.280501i
$557$	7.39291	−	5.53426i	0.313248	−	0.234494i	−0.431072	−	0.902317i	$-0.641865\pi$
$557$	7.39291	−	5.53426i	0.313248	−	0.234494i	0.744320	+	0.667823i	$0.232774\pi$
$558$	3.87704	+	0.843399i	0.164128	+	0.0357039i
$559$	11.0077	+	24.1036i	0.465577	+	1.01947i
$560$	6.27767	+	6.60210i	0.265280	+	0.278990i
$561$	−0.689363	−	4.79463i	−0.0291049	−	0.202429i
$562$	12.4232	−	4.63363i	0.524043	−	0.195458i
$563$	−6.12987	+	11.2260i	−0.258343	+	0.473121i	−0.974370	−	0.224953i	$-0.927777\pi$
$563$	−6.12987	+	11.2260i	−0.258343	+	0.473121i	0.716026	+	0.698073i	$0.245959\pi$
$564$	−3.81443	−	12.9908i	−0.160617	−	0.547010i
$565$	−15.1877	−	6.10465i	−0.638953	−	0.256824i
$566$	28.6731	−	4.12257i	1.20522	−	0.173285i
$567$	1.35509	−	18.9466i	0.0569083	−	0.795682i
$568$	4.51443	−	12.1037i	0.189421	−	0.507858i
$569$	−14.6390	+	9.40789i	−0.613697	+	0.394399i	−0.810242	−	0.586096i	$-0.800664\pi$
$569$	−14.6390	+	9.40789i	−0.613697	+	0.394399i	0.196545	+	0.980495i	$0.437028\pi$
$570$	1.56431	+	1.89994i	0.0655217	+	0.0795798i
$571$	5.27574	−	8.20921i	0.220783	−	0.343545i	−0.713139	−	0.701023i	$-0.752727\pi$
$571$	5.27574	−	8.20921i	0.220783	−	0.343545i	0.933921	+	0.357478i	$0.116363\pi$
$572$	−2.87835	+	0.205864i	−0.120350	+	0.00860760i
$573$	19.5432	−	10.6714i	0.816429	−	0.445804i
$574$	−44.8839			−1.87342
$575$	19.1029	+	14.4941i	0.796647	+	0.604444i
$576$	1.06667			0.0444444
$577$	−10.7389	+	5.86391i	−0.447068	+	0.244118i	−0.686979	−	0.726677i	$-0.741064\pi$
$577$	−10.7389	+	5.86391i	−0.447068	+	0.244118i	0.239911	+	0.970795i	$0.422882\pi$
$578$	5.45298	−	0.390005i	0.226814	−	0.0162221i
$579$	−16.1649	+	25.1530i	−0.671789	+	1.04532i
$580$	−4.35773	−	5.29270i	−0.180945	−	0.219768i
$581$	28.3840	−	18.2413i	1.17757	−	0.756775i
$582$	−0.806846	+	2.16324i	−0.0334448	+	0.0896691i
$583$	0.265647	−	3.71423i	0.0110020	−	0.153828i
$584$	−5.95645	+	0.856409i	−0.246480	+	0.0354385i
$585$	−6.22549	−	2.50231i	−0.257392	−	0.103458i
$586$	6.11273	+	20.8180i	0.252514	+	0.859985i
$587$	1.19128	−	2.18166i	0.0491692	−	0.0900467i	−0.851939	−	0.523641i	$-0.824573\pi$
$587$	1.19128	−	2.18166i	0.0491692	−	0.0900467i	0.901108	+	0.433595i	$0.142755\pi$
$588$	−12.5058	+	4.66444i	−0.515732	+	0.192358i
$589$	−0.419031	−	2.91443i	−0.0172659	−	0.120087i
$590$	16.5519	+	17.4073i	0.681430	+	0.716646i
$591$	15.1064	+	33.0784i	0.621394	+	1.36066i
$592$	−7.36206	−	1.60152i	−0.302579	−	0.0658220i
$593$	−7.89903	+	5.91314i	−0.324374	+	0.242823i	−0.749037	−	0.662528i	$-0.769484\pi$
$593$	−7.89903	+	5.91314i	−0.324374	+	0.242823i	0.424663	+	0.905352i	$0.360393\pi$
$594$	−4.87967	−	3.13597i	−0.200215	−	0.128671i
$595$	−30.7251	+	3.63053i	−1.25961	+	0.148837i
$596$	4.80132	−	16.3518i	0.196670	−	0.669795i
$597$	−2.11145	−	2.11145i	−0.0864159	−	0.0864159i
$598$	5.26477	+	12.4213i	0.215293	+	0.507946i
$599$			6.80936i			0.278223i	0.990277	+	0.139112i	$0.0444247\pi$
$599$			6.80936i			0.278223i	−0.990277	+	0.139112i	$0.955575\pi$
$600$	−6.82292	−	1.33460i	−0.278544	−	0.0544847i
$601$	−23.3376	+	26.9330i	−0.951959	+	1.09862i	0.0430742	+	0.999072i	$0.486285\pi$
$601$	−23.3376	+	26.9330i	−0.951959	+	1.09862i	−0.995033	+	0.0995470i	$0.968261\pi$
$602$	37.5008	−	8.15780i	1.52842	−	0.332487i
$603$	5.16127	+	6.89465i	0.210183	+	0.280772i
$604$	−2.81125	−	4.37438i	−0.114388	−	0.177991i
$605$	21.1781	+	6.80221i	0.861013	+	0.276549i
$606$	0.202150	+	0.233294i	0.00821179	+	0.00947692i
$607$	−5.76116	−	4.31275i	−0.233838	−	0.175049i	0.475933	−	0.879482i	$-0.342111\pi$
$607$	−5.76116	−	4.31275i	−0.233838	−	0.175049i	−0.709771	+	0.704433i	$0.751202\pi$
$608$	−0.276622	−	0.741653i	−0.0112185	−	0.0300780i
$609$	16.6654	−	4.89341i	0.675317	−	0.198291i
$610$	7.10668	−	2.44864i	0.287741	−	0.0991426i
$611$	11.3789	−	24.9164i	0.460343	−	1.00801i
$612$	−2.17085	+	2.89992i	−0.0877514	+	0.117222i
$613$	16.5170	+	1.18132i	0.667116	+	0.0477131i	0.400790	−	0.916170i	$-0.368736\pi$
$613$	16.5170	+	1.18132i	0.667116	+	0.0477131i	0.266326	+	0.963883i	$0.414190\pi$
$614$	−14.6146	+	6.67427i	−0.589798	+	0.269352i
$615$	27.9281	−	19.8294i	1.12617	−	0.799597i
$616$	−0.594796	+	4.13690i	−0.0239650	+	0.166680i
$617$	8.70509	+	40.0167i	0.350454	+	1.61101i	0.728379	+	0.685174i	$0.240274\pi$
$617$	8.70509	+	40.0167i	0.350454	+	1.61101i	−0.377926	+	0.925836i	$0.623363\pi$
$618$	−0.546451	−	7.64039i	−0.0219815	−	0.307341i
$619$	23.7516	+	6.97411i	0.954658	+	0.280313i	0.721725	−	0.692180i	$-0.243349\pi$
$619$	23.7516	+	6.97411i	0.954658	+	0.280313i	0.232933	+	0.972493i	$0.425168\pi$
$620$	6.14686	+	5.60341i	0.246864	+	0.225039i
$621$	−6.49083	+	26.3296i	−0.260468	+	1.05657i
$622$	−5.04650	+	5.04650i	−0.202346	+	0.202346i
$623$	17.1426	+	31.3944i	0.686805	+	1.25779i
$624$	−2.95605	−	2.56143i	−0.118337	−	0.102539i
$625$	−23.1574	−	9.41984i	−0.926297	−	0.376794i
$626$	−25.8483	−	3.71643i	−1.03311	−	0.148538i
$627$	−0.239995	+	1.10324i	−0.00958447	+	0.0440591i
$628$	−17.8582	−	6.66075i	−0.712618	−	0.265793i
$629$	19.3371	−	16.7557i	0.771019	−	0.668092i
$630$	−5.45792	+	8.04009i	−0.217449	+	0.320325i
$631$	29.3857	+	13.4200i	1.16982	+	0.534241i	0.903057	−	0.429520i	$-0.141317\pi$
$631$	29.3857	+	13.4200i	1.16982	+	0.534241i	0.266767	+	0.963761i	$0.414044\pi$
$632$	−0.973056	−	0.531329i	−0.0387061	−	0.0211351i
$633$	12.1732	+	6.64708i	0.483842	+	0.264198i
$634$	20.9123	+	9.55035i	0.830535	+	0.379293i
$635$	−43.9238	+	8.40262i	−1.74306	+	0.333448i
$636$	3.81449	−	3.30527i	0.151254	−	0.131063i
$637$	−25.3011	−	9.43683i	−1.00247	−	0.373901i
$638$	0.668559	−	3.07331i	0.0264685	−	0.121674i
$639$	13.6391	+	1.96101i	0.539555	+	0.0775762i
$640$	1.93494	+	1.12071i	0.0764853	+	0.0443000i
$641$	−31.3856	−	27.1958i	−1.23966	−	1.07417i	−0.994505	−	0.104685i	$-0.966617\pi$
$641$	−31.3856	−	27.1958i	−1.23966	−	1.07417i	−0.245152	−	0.969485i	$-0.578838\pi$
$642$	−7.79928	−	14.2833i	−0.307813	−	0.563718i
$643$	27.6421	−	27.6421i	1.09010	−	1.09010i	0.0945826	−	0.995517i	$-0.469848\pi$
$643$	27.6421	−	27.6421i	1.09010	−	1.09010i	0.995517	−	0.0945826i	$-0.0301517\pi$
$644$	19.1998	−	3.62677i	0.756578	−	0.142915i
$645$	−19.7301	+	21.6436i	−0.776872	+	0.852216i
$646$	2.57928	+	0.757346i	0.101481	+	0.0297974i
$647$	−0.399183	−	5.58131i	−0.0156935	−	0.219424i	−0.999247	−	0.0388057i	$-0.987645\pi$
$647$	−0.399183	−	5.58131i	−0.0156935	−	0.219424i	0.983553	−	0.180618i	$-0.0578099\pi$
$648$	−0.991027	−	4.55568i	−0.0389312	−	0.178964i
$649$	−1.56825	+	10.9075i	−0.0615594	+	0.428155i
$650$	−8.66400	−	11.0801i	−0.339830	−	0.434598i
$651$	−19.1680	+	8.75373i	−0.751253	+	0.343086i
$652$	−14.3153	−	1.02385i	−0.560632	−	0.0400972i
$653$	−5.80376	+	7.75292i	−0.227119	+	0.303395i	−0.899596	−	0.436722i	$-0.856139\pi$
$653$	−5.80376	+	7.75292i	−0.227119	+	0.303395i	0.672478	+	0.740117i	$0.265230\pi$
$654$	−6.35085	+	13.9064i	−0.248338	+	0.543784i
$655$	−8.11677	+	16.6504i	−0.317148	+	0.650586i
$656$	−10.5703	+	3.10371i	−0.412700	+	0.121180i
$657$	−2.24317	−	6.01417i	−0.0875144	−	0.234635i
$658$	−31.7592	−	23.7746i	−1.23810	−	0.926831i
$659$	0.560278	+	0.646595i	0.0218253	+	0.0251878i	0.766557	−	0.642176i	$-0.221968\pi$
$659$	0.560278	+	0.646595i	0.0218253	+	0.0251878i	−0.744732	+	0.667364i	$0.767423\pi$
$660$	−1.45755	−	2.83688i	−0.0567350	−	0.110425i
$661$	25.5694	+	39.7868i	0.994535	+	1.54753i	0.827415	+	0.561590i	$0.189810\pi$
$661$	25.5694	+	39.7868i	0.994535	+	1.54753i	0.167120	+	0.985937i	$0.446553\pi$
$662$	18.1188	+	24.2039i	0.704208	+	0.940711i
$663$	12.9798	−	2.82357i	0.504092	−	0.109658i
$664$	5.42312	−	6.25861i	0.210458	−	0.242881i
$665$	7.00570	+	1.70983i	0.271669	+	0.0663043i
$666$		−	8.03653i		−	0.311409i
$667$	−14.6065	+	1.69158i	−0.565566	+	0.0654983i
$668$	−8.37006	−	8.37006i	−0.323847	−	0.323847i
$669$	−2.74609	+	9.35233i	−0.106170	+	0.361582i
$670$	2.11861	+	17.9297i	0.0818490	+	0.692686i
$671$	2.90095	+	1.86433i	0.111990	+	0.0719716i
$672$	−4.53506	+	3.39490i	−0.174944	+	0.130961i
$673$	40.5141	+	8.81331i	1.56171	+	0.339728i	0.908642	−	0.417575i	$-0.137120\pi$
$673$	40.5141	+	8.81331i	1.56171	+	0.339728i	0.653063	+	0.757303i	$0.273484\pi$
$674$	7.13949	+	15.6333i	0.275003	+	0.602172i
$675$	−0.594616	−	28.2661i	−0.0228868	−	1.08796i
$676$	0.723905	+	5.03487i	0.0278425	+	0.193649i
$677$	45.6301	−	17.0192i	1.75371	−	0.654100i	0.753713	−	0.657203i	$-0.228261\pi$
$677$	45.6301	−	17.0192i	1.75371	−	0.654100i	0.999995	+	0.00310367i	$0.000987930\pi$
$678$	4.87802	−	8.93343i	0.187339	−	0.343086i
$679$	1.90598	+	6.49116i	0.0731446	+	0.249108i
$680$	−6.98479	+	2.97963i	−0.267854	+	0.114264i
$681$	8.03902	−	1.15584i	0.308056	−	0.0442918i
$682$	−0.272215	+	3.80606i	−0.0104236	+	0.145742i
$683$	−1.06129	+	2.84544i	−0.0406093	+	0.108878i	−0.955672	−	0.294435i	$-0.904869\pi$
$683$	−1.06129	+	2.84544i	−0.0406093	+	0.108878i	0.915062	+	0.403313i	$0.132141\pi$
$684$	0.710297	−	0.456480i	0.0271589	−	0.0174540i
$685$	−4.72165	+	48.7348i	−0.180405	+	1.86206i
$686$	−5.72564	+	8.90927i	−0.218606	+	0.340158i
$687$	1.54062	−	0.110187i	0.0587784	−	0.00420391i
$688$	8.26743	−	4.51436i	0.315193	−	0.172108i
$689$	10.2114			0.389024
$690$	−10.3444	+	10.7390i	−0.393805	+	0.408827i
$691$	−4.68868			−0.178366			−0.0891829	−	0.996015i	$-0.528426\pi$
$691$	−4.68868			−0.178366			−0.0891829	+	0.996015i	$0.528426\pi$
$692$	−11.9013	+	6.49861i	−0.452420	+	0.247040i
$693$	−4.44671	+	0.318035i	−0.168916	+	0.0120811i
$694$	−7.78248	+	12.1098i	−0.295419	+	0.459681i
$695$	−21.1186	+	17.3879i	−0.801075	+	0.659561i
$696$	3.58637	−	2.30482i	0.135941	−	0.0873641i
$697$	13.0744	−	35.0537i	0.495226	−	1.32775i
$698$	−1.30539	+	18.2517i	−0.0494097	+	0.690838i
$699$	19.6641	−	2.82727i	0.743763	−	0.106937i
$700$	−18.3482	+	8.85034i	−0.693496	+	0.334511i
$701$	−7.13787	−	24.3094i	−0.269594	−	0.918152i	−0.977338	−	0.211684i	$-0.932105\pi$
$701$	−7.13787	−	24.3094i	−0.269594	−	0.918152i	0.707745	−	0.706468i	$-0.249713\pi$
$702$	7.62313	−	13.9607i	0.287717	−	0.526914i
$703$	−5.58780	+	2.08414i	−0.210748	+	0.0786048i
$704$	0.145990	+	1.01538i	0.00550219	+	0.0382686i
$705$	30.2650	+	0.762332i	1.13984	+	0.0287111i
$706$	−9.91685	−	21.7149i	−0.373226	−	0.817250i
$707$	0.883849	+	0.192269i	0.0332405	+	0.00723104i
$708$	−11.9573	+	8.95109i	−0.449381	+	0.336403i
$709$	14.7483	+	9.47815i	0.553884	+	0.355959i	0.787447	−	0.616382i	$-0.211402\pi$
$709$	14.7483	+	9.47815i	0.553884	+	0.355959i	−0.233564	+	0.972342i	$0.575039\pi$
$710$	22.6811	+	17.8874i	0.851206	+	0.671304i
$711$	0.333172	−	1.13468i	0.0124949	−	0.0425538i
$712$	6.20805	+	6.20805i	0.232657	+	0.232657i
$713$	17.2483	−	4.55329i	0.645955	−	0.170522i
$714$		−	19.2385i		−	0.719984i
$715$	1.52994	−	6.26863i	0.0572165	−	0.234434i
$716$	−10.8494	+	12.5209i	−0.405462	+	0.467928i
$717$	3.13901	−	0.682850i	0.117229	−	0.0255015i
$718$	−14.6773	−	19.6066i	−0.547754	−	0.731713i
$719$	−2.42490	−	3.77322i	−0.0904336	−	0.140717i	0.793089	−	0.609105i	$-0.208471\pi$
$719$	−2.42490	−	3.77322i	−0.0904336	−	0.140717i	−0.883523	+	0.468388i	$0.844835\pi$
$720$	−0.729385	+	2.27088i	−0.0271826	+	0.0846306i
$721$	−14.6982	−	16.9627i	−0.547390	−	0.631722i
$722$	14.7087	+	11.0108i	0.547401	+	0.409779i
$723$	2.98238	+	7.99608i	0.110916	+	0.297378i
$724$	−5.03993	+	1.47986i	−0.187308	+	0.0549985i
$725$	14.2477	−	5.65823i	0.529146	−	0.210141i
$726$	−5.74590	+	12.5818i	−0.213250	+	0.466953i
$727$	−18.9930	+	25.3717i	−0.704412	+	0.940984i	−0.999897	−	0.0143632i	$-0.995428\pi$
$727$	−18.9930	+	25.3717i	−0.704412	+	0.940984i	0.295485	+	0.955347i	$0.404519\pi$
$728$	−11.4319	−	0.817625i	−0.423694	−	0.0303032i
$729$	25.9788	−	11.8641i	0.962179	−	0.439412i
$730$	2.24976	−	13.2666i	0.0832675	−	0.491019i
$731$	−4.55258	+	31.6639i	−0.168383	+	1.17113i
$732$	0.993545	+	4.56725i	0.0367225	+	0.168811i
$733$	1.47984	+	20.6908i	0.0546590	+	0.764232i	0.948686	+	0.316219i	$0.102414\pi$
$733$	1.47984	+	20.6908i	0.0546590	+	0.764232i	−0.894027	+	0.448013i	$0.852132\pi$
$734$	−21.4609	−	6.30150i	−0.792138	−	0.232593i
$735$	−1.37887	−	29.8138i	−0.0508605	−	1.09970i
$736$	4.27081	−	2.18178i	0.157424	−	0.0804214i
$737$	−5.85675	+	5.85675i	−0.215736	+	0.215736i
$738$	−5.63164	−	10.3136i	−0.207303	−	0.379648i
$739$	−32.9455	−	28.5474i	−1.21192	−	1.05013i	−0.997300	−	0.0734352i	$-0.976604\pi$
$739$	−32.9455	−	28.5474i	−1.21192	−	1.05013i	−0.214618	−	0.976698i	$-0.568851\pi$
$740$	8.44372	−	14.5783i	0.310397	−	0.535910i
$741$	−3.06461	−	0.440624i	−0.112581	−	0.0161867i
$742$	3.14372	−	14.4514i	0.115410	−	0.530529i
$743$	−11.5929	−	4.32392i	−0.425302	−	0.158629i	0.127694	−	0.991814i	$-0.459243\pi$
$743$	−11.5929	−	4.32392i	−0.425302	−	0.158629i	−0.552995	+	0.833184i	$0.686515\pi$
$744$	−3.90880	+	3.38699i	−0.143303	+	0.124173i
$745$	31.5290	+	21.4031i	1.15513	+	0.784148i
$746$	−1.45324	−	0.663670i	−0.0532067	−	0.0242987i
$747$	7.75291	+	4.23341i	0.283664	+	0.154892i
$748$	−3.05760	−	1.66957i	−0.111797	−	0.0610457i
$749$	−43.3762	−	19.8093i	−1.58493	−	0.723815i
$750$	7.50679	−	13.6130i	0.274109	−	0.497078i
$751$	−2.47381	+	2.14357i	−0.0902707	+	0.0782200i	−0.698827	−	0.715291i	$-0.746294\pi$
$751$	−2.47381	+	2.14357i	−0.0902707	+	0.0782200i	0.608556	+	0.793511i	$0.291749\pi$
$752$	−9.12338	−	3.40284i	−0.332695	−	0.124089i
$753$	−4.08432	+	18.7753i	−0.148841	+	0.684211i
$754$	8.53714	+	1.22746i	0.310904	+	0.0447013i
$755$	11.2352	−	2.99380i	0.408889	−	0.108956i
$756$	−17.4107	−	15.0864i	−0.633220	−	0.548689i
$757$	18.7575	+	34.3518i	0.681753	+	1.24854i	0.957812	+	0.287397i	$0.0927900\pi$
$757$	18.7575	+	34.3518i	0.681753	+	1.24854i	−0.276058	+	0.961141i	$0.589028\pi$
$758$	0.524221	−	0.524221i	0.0190405	−	0.0190405i
$759$	−6.80709	−	0.675445i	−0.247082	−	0.0245171i
$760$	1.76809	−	0.0817735i	0.0641355	−	0.00296624i
$761$	−4.05093	−	1.18946i	−0.146846	−	0.0431179i	0.207483	−	0.978239i	$-0.433473\pi$
$761$	−4.05093	−	1.18946i	−0.146846	−	0.0431179i	−0.354330	+	0.935121i	$0.615291\pi$
$762$	−1.98382	−	27.7374i	−0.0718661	−	1.00482i
$763$	9.52214	+	43.7726i	0.344725	+	1.58467i
$764$	2.27907	−	15.8513i	0.0824538	−	0.573478i
$765$	−4.68935	−	6.60458i	−0.169544	−	0.238789i
$766$	10.4091	−	4.75368i	0.376097	−	0.171758i
$767$	−30.1417	−	2.15577i	−1.08835	−	0.0778405i
$768$	−0.833262	+	1.11311i	−0.0300677	+	0.0401658i
$769$	−15.0247	+	32.8994i	−0.541804	+	1.18638i	0.418702	+	0.908124i	$0.362485\pi$
$769$	−15.0247	+	32.8994i	−0.541804	+	1.18638i	−0.960506	+	0.278261i	$0.910242\pi$
$770$	−8.40051	−	4.09509i	−0.302734	−	0.147577i
$771$	−28.1859	+	8.27612i	−1.01509	+	0.298057i
$772$	7.51472	+	20.1477i	0.270461	+	0.725133i
$773$	28.9667	+	21.6842i	1.04186	+	0.779926i	0.975971	−	0.217901i	$-0.0699209\pi$
$773$	28.9667	+	21.6842i	1.04186	+	0.779926i	0.0658885	+	0.997827i	$0.479012\pi$
$774$	6.57980	+	7.59349i	0.236506	+	0.272942i
$775$	−16.1326	+	9.25474i	−0.579500	+	0.332440i
$776$	0.897725	+	1.39689i	0.0322264	+	0.0501453i
$777$	25.5780	+	34.1682i	0.917607	+	1.22578i
$778$	25.9702	−	5.64948i	0.931077	−	0.202543i
$779$	−5.71055	+	6.59033i	−0.204602	+	0.236123i
$780$	7.47449	−	4.54177i	0.267630	−	0.162622i
$781$			13.2517i			0.474183i
$782$	−2.76031	+	16.0512i	−0.0987083	+	0.573991i
$783$	12.2589	+	12.2589i	0.438098	+	0.438098i
$784$	−2.70446	+	9.21054i	−0.0965878	+	0.328948i
$785$	26.3918	−	33.4645i	0.941962	−	1.19440i
$786$	−9.68986	−	6.22730i	−0.345626	−	0.222120i
$787$	−15.9834	+	11.9650i	−0.569748	+	0.426508i	−0.844924	−	0.534886i	$-0.820355\pi$
$787$	−15.9834	+	11.9650i	−0.569748	+	0.426508i	0.275177	+	0.961394i	$0.411264\pi$
$788$	25.5555	+	5.55927i	0.910379	+	0.198041i
$789$	−0.272424	−	0.596525i	−0.00969855	−	0.0212369i
$790$	1.79655	−	1.70826i	0.0639182	−	0.0607773i
$791$	−4.24449	−	29.5211i	−0.150917	−	1.04965i
$792$	−1.02522	+	0.382387i	−0.0364296	+	0.0135875i
$793$	−4.53193	+	8.29961i	−0.160934	+	0.294728i
$794$	−1.52430	−	5.19129i	−0.0540954	−	0.184232i
$795$	4.42842	+	10.3810i	0.157060	+	0.368176i
$796$	−2.12569	+	0.305628i	−0.0753430	+	0.0108327i
$797$	−0.319513	+	4.46737i	−0.0113177	+	0.158242i	0.988650	+	0.150236i	$0.0480032\pi$
$797$	−0.319513	+	4.46737i	−0.0113177	+	0.158242i	−0.999968	+	0.00800679i	$0.997451\pi$
$798$	−1.56706	+	4.20146i	−0.0554734	+	0.148730i
$799$	27.8188	−	17.8781i	0.984160	−	0.632481i
$800$	−3.70905	+	3.35305i	−0.131135	+	0.118548i
$801$	−5.06300	+	7.87818i	−0.178892	+	0.278362i
$802$	24.6762	−	1.76488i	0.871348	−	0.0623201i
$803$	5.41799	−	2.95845i	0.191197	−	0.104401i
$804$	−11.2267			−0.395936
$805$	−5.40759	+	43.3554i	−0.190592	+	1.52808i
$806$	−10.4639			−0.368574
$807$	9.13843	−	4.98996i	0.321688	−	0.175655i
$808$	0.221444	−	0.0158380i	0.00779038	−	0.000557179i
$809$	−24.8958	+	38.7387i	−0.875290	+	1.36198i	0.0562789	+	0.998415i	$0.482076\pi$
$809$	−24.8958	+	38.7387i	−0.875290	+	1.36198i	−0.931569	+	0.363563i	$0.881560\pi$
$810$	10.3765	+	1.00532i	0.364592	+	0.0353233i
$811$	22.6434	−	14.5521i	0.795119	−	0.510992i	−0.0789007	−	0.996882i	$-0.525141\pi$
$811$	22.6434	−	14.5521i	0.795119	−	0.510992i	0.874020	+	0.485891i	$0.161505\pi$
$812$	4.36540	−	11.7041i	0.153195	−	0.410733i
$813$	−0.215331	+	3.01072i	−0.00755199	+	0.105591i
$814$	7.65012	−	1.09992i	0.268137	−	0.0385522i
$815$	11.9685	−	29.7765i	0.419240	−	1.04303i
$816$	−1.33034	−	4.53073i	−0.0465713	−	0.158607i
$817$	3.57339	−	6.54418i	0.125017	−	0.228952i
$818$	12.5985	−	4.69901i	0.440497	−	0.164297i
$819$	−1.73982	−	12.1007i	−0.0607944	−	0.422834i
$820$	0.620292	−	24.6259i	0.0216615	−	0.859973i
$821$	−16.3032	−	35.6990i	−0.568986	−	1.24591i	−0.947336	−	0.320243i	$-0.896236\pi$
$821$	−16.3032	−	35.6990i	−0.568986	−	1.24591i	0.378350	−	0.925663i	$-0.376492\pi$
$822$	−29.7506	−	6.47186i	−1.03767	−	0.225732i
$823$	22.4520	−	16.8073i	0.782626	−	0.585867i	−0.131490	−	0.991317i	$-0.541976\pi$
$823$	22.4520	−	16.8073i	0.782626	−	0.585867i	0.914117	+	0.405451i	$0.132885\pi$
$824$	−4.63444	−	2.97837i	−0.161448	−	0.103756i
$825$	7.03624	−	1.16319i	0.244970	−	0.0404972i
$826$	−12.3304	+	41.9935i	−0.429030	+	1.46114i
$827$	13.1908	+	13.1908i	0.458689	+	0.458689i	0.898225	−	0.439536i	$-0.144857\pi$
$827$	13.1908	+	13.1908i	0.458689	+	0.458689i	−0.439536	+	0.898225i	$0.644857\pi$
$828$	3.24239	+	3.95674i	0.112681	+	0.137506i
$829$		−	17.7064i		−	0.614968i	−0.951553	−	0.307484i	$-0.900513\pi$
$829$		−	17.7064i		−	0.614968i	0.951553	−	0.307484i	$-0.0994870\pi$
$830$	9.61595	+	15.8252i	0.333774	+	0.549300i
$831$	−29.7266	+	34.3063i	−1.03120	+	1.19007i
$832$	−2.74878	+	0.597961i	−0.0952968	+	0.0207306i
$833$	−19.5364	−	26.0975i	−0.676895	−	0.904226i
$834$	−9.19656	−	14.3101i	−0.318451	−	0.495519i
$835$	23.5429	−	12.0960i	0.814734	−	0.418599i
$836$	0.531747	+	0.613669i	0.0183909	+	0.0212242i
$837$	−16.8379	−	12.6047i	−0.582002	−	0.435682i
$838$	−1.73418	−	4.64952i	−0.0599063	−	0.160615i
$839$	−37.0269	+	10.8721i	−1.27831	+	0.375346i	−0.849280	−	0.527943i	$-0.822963\pi$
$839$	−37.0269	+	10.8721i	−1.27831	+	0.375346i	−0.429032	+	0.903289i	$0.641145\pi$
$840$	−4.12651	−	11.9763i	−0.142378	−	0.413223i
$841$	8.14193	−	17.8283i	0.280756	−	0.614770i
$842$	7.64473	−	10.2122i	0.263455	−	0.351934i
$843$	−18.3893	−	1.31523i	−0.633360	−	0.0452988i
$844$	9.07364	−	4.14379i	0.312328	−	0.142635i
$845$	−11.2140	−	1.90168i	−0.385773	−	0.0654197i
$846$	1.47815	−	10.2808i	0.0508198	−	0.353460i
$847$	8.61510	+	39.6030i	0.296018	+	1.36077i
$848$	−0.258960	−	3.62074i	−0.00889274	−	0.124337i
$849$	−38.6468	−	11.3477i	−1.32635	−	0.389453i
$850$	−1.56730	−	16.9077i	−0.0537579	−	0.579930i
$851$	−16.4380	−	32.1774i	−0.563489	−	1.10303i
$852$	−12.7010	+	12.7010i	−0.435130	+	0.435130i
$853$	−6.04081	−	11.0629i	−0.206833	−	0.378787i	0.753584	−	0.657351i	$-0.228323\pi$
$853$	−6.04081	−	11.0629i	−0.206833	−	0.378787i	−0.960418	+	0.278564i	$0.910141\pi$
$854$	10.3506	+	8.96885i	0.354190	+	0.306908i
$855$	0.486123	+	1.82433i	0.0166251	+	0.0623907i
$856$	−11.5850	−	1.66568i	−0.395968	−	0.0569316i
$857$	−1.06551	+	4.89807i	−0.0363972	+	0.167315i	−0.991758	−	0.128127i	$-0.959103\pi$
$857$	−1.06551	+	4.89807i	−0.0363972	+	0.167315i	0.955361	+	0.295442i	$0.0954670\pi$
$858$	3.75943	+	1.40219i	0.128345	+	0.0478701i
$859$	33.9082	−	29.3816i	1.15693	−	1.00249i	0.157044	−	0.987592i	$-0.449804\pi$
$859$	33.9082	−	29.3816i	1.15693	−	1.00249i	0.999889	−	0.0148967i	$-0.00474195\pi$
$860$	3.95758	+	20.6878i	0.134952	+	0.705450i
$861$	56.7688	+	25.9254i	1.93467	+	0.883536i
$862$	−13.6107	−	7.43203i	−0.463584	−	0.253136i
$863$	5.93892	+	3.24290i	0.202163	+	0.110389i	0.577142	−	0.816644i	$-0.304168\pi$
$863$	5.93892	+	3.24290i	0.202163	+	0.110389i	−0.374978	+	0.927034i	$0.622350\pi$
$864$	−5.14349	−	2.34895i	−0.174985	−	0.0799130i
$865$	−5.69710	−	29.7810i	−0.193707	−	1.01258i
$866$	21.0444	−	18.2351i	0.715118	−	0.619653i
$867$	−7.12216	−	2.65643i	−0.241881	−	0.0902170i
$868$	−3.22144	+	14.8087i	−0.109343	+	0.502641i
$869$	1.12572	+	0.161854i	0.0381875	+	0.00549053i
$870$	2.45449	+	9.21124i	0.0832151	+	0.312290i
$871$	−17.1656	−	14.8740i	−0.581633	−	0.503988i
$872$	5.26936	+	9.65010i	0.178443	+	0.326794i
$873$	−1.25241	+	1.25241i	−0.0423878	+	0.0423878i
$874$	1.91026	−	3.28055i	0.0646155	−	0.110966i
$875$	−6.29546	−	45.1142i	−0.212825	−	1.52514i
$876$	8.02835	+	2.35734i	0.271253	+	0.0796470i
$877$	−3.23215	−	45.1914i	−0.109142	−	1.52601i	−0.697018	−	0.717054i	$-0.745490\pi$
$877$	−3.23215	−	45.1914i	−0.109142	−	1.52601i	0.587876	−	0.808951i	$-0.299964\pi$
$878$	3.64585	+	16.7597i	0.123041	+	0.565612i
$879$	4.29340	−	29.8613i	0.144813	−	1.00720i
$880$	−2.26152	−	0.383511i	−0.0762358	−	0.0129281i
$881$	4.59646	−	2.09913i	0.154859	−	0.0707216i	−0.336478	−	0.941691i	$-0.609236\pi$
$881$	4.59646	−	2.09913i	0.154859	−	0.0707216i	0.491337	+	0.870970i	$0.336508\pi$
$882$	−10.2132	−	0.730466i	−0.343898	−	0.0245961i
$883$	8.14781	−	10.8842i	0.274196	−	0.366283i	−0.642213	−	0.766526i	$-0.721984\pi$
$883$	8.14781	−	10.8842i	0.274196	−	0.366283i	0.916409	+	0.400243i	$0.131074\pi$
$884$	3.96858	−	8.68998i	0.133478	−	0.292276i
$885$	−10.8801	−	31.5771i	−0.365729	−	1.06145i
$886$	25.5396	−	7.49912i	0.858021	−	0.251938i
$887$	−0.446600	−	1.19738i	−0.0149954	−	0.0402042i	0.929236	−	0.369486i	$-0.120466\pi$
$887$	−0.446600	−	1.19738i	−0.0149954	−	0.0402042i	−0.944232	+	0.329282i	$0.893193\pi$
$888$	8.38642	+	6.27800i	0.281430	+	0.210676i
$889$	−53.3599	−	61.5806i	−1.78963	−	2.06535i
$890$	−17.4617	+	8.97156i	−0.585317	+	0.300728i
$891$	2.58567	+	4.02338i	0.0866233	+	0.134788i
$892$	4.20100	+	5.61188i	0.140660	+	0.187900i
$893$	−7.53154	+	1.63839i	−0.252033	+	0.0548265i
$894$	−15.5176	+	17.9083i	−0.518987	+	0.598943i
$895$	−19.2375	−	31.6596i	−0.643039	−	1.05826i
$896$			4.07423i			0.136111i
$897$	0.515852	−	18.7514i	0.0172238	−	0.626091i
$898$	7.64052	+	7.64052i	0.254967	+	0.254967i
$899$	3.21310	−	10.9428i	0.107163	−	0.364963i
$900$	−4.33583	−	3.10564i	−0.144528	−	0.103521i
$901$	10.3706	+	6.66480i	0.345496	+	0.222037i
$902$	9.04691	−	6.77243i	0.301229	−	0.225497i
$903$	−52.1428	−	11.3430i	−1.73520	−	0.377470i
$904$	−3.04096	−	6.65878i	−0.101141	−	0.221468i
$905$	0.295757	−	11.7417i	0.00983129	−	0.390307i
$906$	1.02895	+	7.15649i	0.0341845	+	0.237759i
$907$	34.0972	−	12.7176i	1.13218	−	0.422281i	0.287621	−	0.957744i	$-0.407136\pi$
$907$	34.0972	−	12.7176i	1.13218	−	0.422281i	0.844559	+	0.535463i	$0.179863\pi$
$908$	2.79933	−	5.12659i	0.0928990	−	0.170132i
$909$	0.0667172	+	0.227218i	0.00221287	+	0.00753634i
$910$	9.55779	−	23.7788i	0.316838	−	0.788260i
$911$	19.9827	−	2.87308i	0.662056	−	0.0951893i	0.196908	−	0.980422i	$-0.436910\pi$
$911$	19.9827	−	2.87308i	0.662056	−	0.0951893i	0.465148	+	0.885233i	$0.346001\pi$
$912$	−0.0785174	+	1.09782i	−0.00259997	+	0.0363524i
$913$	−2.96876	+	7.95955i	−0.0982515	+	0.263423i
$914$	−1.43692	+	0.923455i	−0.0475292	+	0.0305452i
$915$	−10.4028	−	1.00787i	−0.343907	−	0.0333193i
$916$	0.600564	−	0.934496i	0.0198432	−	0.0308766i
$917$	−33.6647	+	2.40775i	−1.11171	+	0.0795109i
$918$	16.8539	−	9.20293i	0.556262	−	0.303742i
$919$	22.6442			0.746964			0.373482	−	0.927637i	$-0.378164\pi$
$919$	22.6442			0.746964			0.373482	+	0.927637i	$0.378164\pi$
$920$	1.72451	+	10.5842i	0.0568556	+	0.348952i
$921$	22.3396			0.736114
$922$	9.53812	−	5.20821i	0.314121	−	0.171523i
$923$	−36.2470	+	2.59244i	−1.19309	+	0.0853312i
$924$	3.14181	−	4.88875i	0.103358	−	0.160828i
$925$	25.2627	+	27.9449i	0.830633	+	0.918822i
$926$	−11.8060	+	7.58728i	−0.387970	+	0.249333i
$927$	2.05353	−	5.50573i	0.0674468	−	0.180832i
$928$	0.218728	−	3.05821i	0.00718008	−	0.100391i
$929$	40.9914	−	5.89367i	1.34488	−	0.193365i	0.568010	−	0.823022i	$-0.307714\pi$
$929$	40.9914	−	5.89367i	1.34488	−	0.193365i	0.776873	+	0.629657i	$0.216805\pi$
$930$	−4.53790	−	10.6376i	−0.148804	−	0.348822i
$931$	2.14074	+	7.29070i	0.0701600	+	0.238943i
$932$	6.84738	−	12.5400i	0.224293	−	0.410763i
$933$	9.29769	−	3.46786i	0.304393	−	0.113533i
$934$	2.19427	+	15.2615i	0.0717986	+	0.499370i
$935$	5.64522	−	5.36781i	0.184618	−	0.175546i
$936$	−1.24650	−	2.72945i	−0.0407430	−	0.0892148i
$937$	−13.5102	−	2.93897i	−0.441359	−	0.0960118i	−0.0136061	−	0.999907i	$-0.504331\pi$
$937$	−13.5102	−	2.93897i	−0.441359	−	0.0960118i	−0.427753	+	0.903896i	$0.640695\pi$
$938$	−26.3348	+	19.7140i	−0.859861	+	0.643684i
$939$	30.5461	+	19.6308i	0.996835	+	0.640627i
$940$	13.4830	−	17.0963i	0.439768	−	0.557621i
$941$	−7.30434	+	24.8763i	−0.238115	+	0.810944i	0.750551	+	0.660812i	$0.229788\pi$
$941$	−7.30434	+	24.8763i	−0.238115	+	0.810944i	−0.988666	+	0.150132i	$0.952030\pi$
$942$	18.7395	+	18.7395i	0.610567	+	0.610567i
$943$	−43.6440	−	29.7753i	−1.42124	−	0.969619i
$944$			10.7422i			0.349630i
$945$	44.0236	−	26.7504i	1.43209	−	0.870189i
$946$	−6.32784	+	7.30272i	−0.205736	+	0.237432i
$947$	−13.4808	+	2.93257i	−0.438068	+	0.0952959i	−0.426190	−	0.904634i	$-0.640145\pi$
$947$	−13.4808	+	2.93257i	−0.438068	+	0.0952959i	−0.0118778	+	0.999929i	$0.503781\pi$
$948$	0.923812	+	1.23407i	0.0300040	+	0.0400807i
$949$	9.15209	+	14.2409i	0.297089	+	0.462280i
$950$	−1.03493	+	3.82010i	−0.0335775	+	0.123940i
$951$	−20.9334	−	24.1584i	−0.678811	−	0.783390i
$952$	−11.0765	−	8.29176i	−0.358991	−	0.268738i
$953$	−17.1167	−	45.8917i	−0.554465	−	1.48658i	−0.847668	−	0.530527i	$-0.821994\pi$
$953$	−17.1167	−	45.8917i	−0.554465	−	1.48658i	0.293204	−	0.956050i	$-0.405279\pi$
$954$	3.71515	−	1.09087i	0.120282	−	0.0353181i
$955$	32.1881	+	15.6911i	1.04158	+	0.507751i
$956$	0.959758	−	2.10158i	0.0310408	−	0.0679699i
$957$	−2.62077	+	3.50094i	−0.0847174	+	0.113169i
$958$	16.8131	+	1.20250i	0.543208	+	0.0388510i
$959$	−81.1512	+	37.0605i	−2.62051	+	1.19675i
$960$	−1.79996	−	2.53511i	−0.0580936	−	0.0818204i
$961$	2.44263	−	16.9889i	0.0787946	−	0.548028i
$962$	4.50518	+	20.7100i	0.145253	+	0.667717i
$963$	−0.890630	−	12.4526i	−0.0287001	−	0.401280i
$964$	5.88911	+	1.72920i	0.189675	+	0.0556937i
$965$	−48.0320	+	2.22146i	−1.54621	+	0.0715112i
$966$	−26.3786	−	6.50291i	−0.848718	−	0.209228i
$967$	−25.5909	+	25.5909i	−0.822947	+	0.822947i	−0.986530	−	0.163583i	$-0.947695\pi$
$967$	−25.5909	+	25.5909i	−0.822947	+	0.822947i	0.163583	+	0.986530i	$0.447695\pi$
$968$	4.76742	+	8.73088i	0.153231	+	0.280621i
$969$	−2.82481	−	2.44771i	−0.0907459	−	0.0786317i
$970$	−3.58776	+	0.956021i	−0.115196	+	0.0306960i
$971$	−11.7780	−	1.69342i	−0.377974	−	0.0543444i	−0.0492901	−	0.998785i	$-0.515696\pi$
$971$	−11.7780	−	1.69342i	−0.377974	−	0.0543444i	−0.328684	+	0.944440i	$0.606605\pi$
$972$	2.22787	−	10.2413i	0.0714588	−	0.328491i
$973$	−46.7009	−	17.4185i	−1.49716	−	0.558413i
$974$	−10.2459	+	8.87816i	−0.328301	+	0.284475i
$975$	4.55815	+	19.0185i	0.145978	+	0.609078i
$976$	3.05779	+	1.39645i	0.0978775	+	0.0446991i
$977$	−18.9089	−	10.3250i	−0.604949	−	0.330327i	0.147415	−	0.989075i	$-0.452905\pi$
$977$	−18.9089	−	10.3250i	−0.604949	−	0.330327i	−0.752364	+	0.658748i	$0.771087\pi$
$978$	17.5145	+	9.56366i	0.560053	+	0.305812i
$979$	−8.19234	−	3.74131i	−0.261828	−	0.119573i
$980$	−17.7594	−	12.0558i	−0.567305	−	0.385108i
$981$	−8.86345	+	7.68023i	−0.282988	+	0.245211i
$982$	−4.62123	−	1.72363i	−0.147469	−	0.0550033i
$983$	11.2355	−	51.6486i	0.358355	−	1.64733i	−0.346550	−	0.938032i	$-0.612647\pi$
$983$	11.2355	−	51.6486i	0.358355	−	1.64733i	0.704905	−	0.709301i	$-0.250990\pi$
$984$	15.1619	+	2.17996i	0.483345	+	0.0694945i
$985$	−29.3102	+	50.6050i	−0.933902	+	1.61241i
$986$	7.86912	+	6.81863i	0.250604	+	0.217149i
$987$	26.4362	+	48.4144i	0.841475	+	1.54105i
$988$	−1.57453	+	1.57453i	−0.0500924	+	0.0500924i
$989$	41.8766	+	16.9451i	1.33160	+	0.538822i
$990$	−0.113039	−	2.44411i	−0.00359262	−	0.0776791i
$991$	48.2797	+	14.1762i	1.53366	+	0.450322i	0.936167	−	0.351556i	$-0.114347\pi$
$991$	48.2797	+	14.1762i	1.53366	+	0.450322i	0.597488	+	0.801878i	$0.296165\pi$
$992$	0.265363	+	3.71026i	0.00842528	+	0.117801i
$993$	−8.93609	−	41.0785i	−0.283578	−	1.30359i
$994$	−7.49025	+	52.0958i	−0.237576	+	1.65238i
$995$	0.802876	−	4.73446i	0.0254529	−	0.150093i
$996$	−10.4742	+	4.78339i	−0.331887	+	0.151568i
$997$	6.63919	+	0.474844i	0.210265	+	0.0150385i	0.176074	−	0.984377i	$-0.443660\pi$
$997$	6.63919	+	0.474844i	0.210265	+	0.0150385i	0.0341908	+	0.999415i	$0.489115\pi$
$998$	−17.0021	+	22.7122i	−0.538193	+	0.718942i
$999$	−17.6976	+	38.7523i	−0.559927	+	1.22607i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.143.5	yes	240
5.2	odd	4	inner	230.2.l.a.97.2	yes	240
23.14	odd	22	inner	230.2.l.a.83.2	yes	240
115.37	even	44	inner	230.2.l.a.37.5	✓	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.37.5	✓	240	115.37	even	44	inner
230.2.l.a.83.2	yes	240	23.14	odd	22	inner
230.2.l.a.97.2	yes	240	5.2	odd	4	inner
230.2.l.a.143.5	yes	240	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.l (of order \(44\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.877679 + 0.479249i) q^{2} +(1.38690 - 0.0991931i) q^{3} +(0.540641 - 0.841254i) q^{4} +(1.42130 + 1.72624i) q^{5} +(-1.16972 + 0.751731i) q^{6} +(-1.42380 + 3.81735i) q^{7} +(-0.0713392 + 0.997452i) q^{8} +(-1.05581 + 0.151803i) q^{9} +O(q^{10})\)	\(q+(-0.877679 + 0.479249i) q^{2} +(1.38690 - 0.0991931i) q^{3} +(0.540641 - 0.841254i) q^{4} +(1.42130 + 1.72624i) q^{5} +(-1.16972 + 0.751731i) q^{6} +(-1.42380 + 3.81735i) q^{7} +(-0.0713392 + 0.997452i) q^{8} +(-1.05581 + 0.151803i) q^{9} +(-2.07474 - 0.833933i) q^{10} +(-0.289007 - 0.984268i) q^{11} +(0.666369 - 1.22036i) q^{12} +(2.63570 - 0.983067i) q^{13} +(-0.579824 - 4.03276i) q^{14} +(2.14243 + 2.25315i) q^{15} +(-0.415415 - 0.909632i) q^{16} +(3.31843 + 0.721880i) q^{17} +(0.853911 - 0.639230i) q^{18} +(-0.665904 - 0.427950i) q^{19} +(2.22062 - 0.262392i) q^{20} +(-1.59601 + 5.43552i) q^{21} +(0.725365 + 0.725365i) q^{22} +(2.11147 - 4.30601i) q^{23} +1.39044i q^{24} +(-0.959836 + 4.90701i) q^{25} +(-1.84217 + 2.12598i) q^{26} +(-5.52525 + 1.20194i) q^{27} +(2.44160 + 3.26159i) q^{28} +(-1.65762 - 2.57930i) q^{29} +(-2.96018 - 0.950783i) q^{30} +(2.43591 + 2.81119i) q^{31} +(0.800541 + 0.599278i) q^{32} +(-0.498457 - 1.33642i) q^{33} +(-3.25848 + 0.956775i) q^{34} +(-8.61332 + 2.96776i) q^{35} +(-0.443109 + 0.970274i) q^{36} +(4.51510 - 6.03147i) q^{37} +(0.789545 + 0.0564693i) q^{38} +(3.55795 - 1.62486i) q^{39} +(-1.82324 + 1.29453i) q^{40} +(1.56781 - 10.9044i) q^{41} +(-1.20418 - 5.53553i) q^{42} +(0.671990 + 9.39565i) q^{43} +(-0.984268 - 0.289007i) q^{44} +(-1.76267 - 1.60683i) q^{45} +(0.210454 + 4.79121i) q^{46} +(6.88532 - 6.88532i) q^{47} +(-0.666369 - 1.22036i) q^{48} +(-7.25473 - 6.28626i) q^{49} +(-1.50925 - 4.76678i) q^{50} +(4.67394 + 0.672011i) q^{51} +(0.597961 - 2.74878i) q^{52} +(3.40112 + 1.26855i) q^{53} +(4.27336 - 3.70289i) q^{54} +(1.28832 - 1.89783i) q^{55} +(-3.70605 - 1.69250i) q^{56} +(-0.965992 - 0.527472i) q^{57} +(2.69098 + 1.46939i) q^{58} +(-9.77148 - 4.46249i) q^{59} +(3.05375 - 0.584182i) q^{60} +(-2.54050 + 2.20136i) q^{61} +(-3.48520 - 1.29991i) q^{62} +(0.923777 - 4.24653i) q^{63} +(-0.989821 - 0.142315i) q^{64} +(5.44313 + 3.15264i) q^{65} +(1.07796 + 0.934058i) q^{66} +(-3.86956 - 7.08656i) q^{67} +(2.40136 - 2.40136i) q^{68} +(2.50128 - 6.18145i) q^{69} +(6.13743 - 6.73267i) q^{70} +(-12.3949 - 3.63946i) q^{71} +(-0.0760951 - 1.06395i) q^{72} +(1.27916 + 5.88018i) q^{73} +(-1.07223 + 7.45756i) q^{74} +(-0.844456 + 6.90074i) q^{75} +(-0.720030 + 0.328826i) q^{76} +(4.16879 + 0.298158i) q^{77} +(-2.34402 + 3.13125i) q^{78} +(-0.460558 + 1.00848i) q^{79} +(0.979819 - 2.00996i) q^{80} +(-4.47337 + 1.31350i) q^{81} +(3.84988 + 10.3219i) q^{82} +(-6.62955 - 4.96282i) q^{83} +(3.70978 + 4.28131i) q^{84} +(3.47033 + 6.75443i) q^{85} +(-5.09265 - 7.92432i) q^{86} +(-2.55480 - 3.41281i) q^{87} +(1.00238 - 0.218054i) q^{88} +(5.74936 - 6.63511i) q^{89} +(2.31713 + 0.565524i) q^{90} +11.4611i q^{91} +(-2.48089 - 4.10429i) q^{92} +(3.65721 + 3.65721i) q^{93} +(-2.74332 + 9.34289i) q^{94} +(-0.207700 - 1.75776i) q^{95} +(1.16972 + 0.751731i) q^{96} +(1.32929 - 0.995090i) q^{97} +(9.38000 + 2.04049i) q^{98} +(0.454551 + 0.995328i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) 240 * q - 8 * q^3 - 8 * q^6	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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