LMFDB - Embedded newform 230.2.l.a.37.5

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			37.5
Character	$\chi$	$=$	230.37
Dual form			230.2.l.a.143.5

$q$-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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{21}{22}\right)$

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	0.465704	−	0.884941i	$-0.345801\pi$
$3$	1.38690	+	0.0991931i	0.800728	+	0.0572692i	0.335024	+	0.942210i	$0.391256\pi$
$4$	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	−0.866935	−	0.498420i	$-0.833914\pi$
$7$	−1.42380	−	3.81735i	−0.538145	−	1.44282i	0.328790	−	0.944403i	$-0.393359\pi$
$8$	−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	−0.991519	−	0.129959i	$-0.958515\pi$
$11$	−0.289007	+	0.984268i	−0.0871390	+	0.296768i	0.904380	+	0.426727i	$0.140334\pi$
$12$	0.666369	+	1.22036i	0.192364	+	0.352288i
$13$	2.63570	+	0.983067i	0.731013	+	0.272654i	0.687283	−	0.726390i	$-0.258803\pi$
$13$	2.63570	+	0.983067i	0.731013	+	0.272654i	0.0437297	+	0.999043i	$0.486076\pi$
$14$	−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	0.208716	−	0.977976i	$-0.433071\pi$
$17$	3.31843	−	0.721880i	0.804838	−	0.175082i	0.596121	+	0.802894i	$0.296708\pi$
$18$	0.853911	+	0.639230i	0.201269	+	0.150668i
$19$	−0.665904	+	0.427950i	−0.152769	+	0.0981785i	−0.614792	−	0.788689i	$-0.710760\pi$
$19$	−0.665904	+	0.427950i	−0.152769	+	0.0981785i	0.462023	+	0.886868i	$0.347124\pi$
$20$	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	−0.960352	−	0.278789i	$-0.910067\pi$
$29$	−1.65762	+	2.57930i	−0.307812	+	0.478964i	0.652541	+	0.757754i	$0.273703\pi$
$30$	−2.96018	+	0.950783i	−0.540453	+	0.173588i
$31$	2.43591	−	2.81119i	0.437502	−	0.504904i	−0.493587	−	0.869696i	$-0.664315\pi$
$31$	2.43591	−	2.81119i	0.437502	−	0.504904i	0.931089	+	0.364792i	$0.118860\pi$
$32$	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	0.999681	+	0.0252637i	$0.00804255\pi$
$37$	4.51510	+	6.03147i	0.742279	+	0.991568i	−0.257402	+	0.966304i	$0.582867\pi$
$38$	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	0.627115	+	0.778927i	$0.284236\pi$
$41$	1.56781	+	10.9044i	0.244852	+	1.70298i	−0.382264	+	0.924053i	$0.624855\pi$
$42$	−1.20418	+	5.53553i	−0.185809	+	0.854151i
$43$	0.671990	−	9.39565i	0.102478	−	1.43282i	−0.642782	−	0.766049i	$-0.722220\pi$
$43$	0.671990	−	9.39565i	0.102478	−	1.43282i	0.745259	−	0.666775i	$-0.232326\pi$
$44$	−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	0.999991	+	0.00433704i	$0.00138053\pi$
$47$	6.88532	+	6.88532i	1.00433	+	1.00433i	0.00433704	+	0.999991i	$0.498619\pi$
$48$	−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	−0.104840	−	0.994489i	$-0.533433\pi$
$53$	3.40112	−	1.26855i	0.467179	−	0.174249i	0.572019	+	0.820240i	$0.306160\pi$
$54$	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	−0.933036	−	0.359783i	$-0.882851\pi$
$59$	−9.77148	+	4.46249i	−1.27214	+	0.580966i	−0.339103	+	0.940749i	$0.610123\pi$
$60$	3.05375	+	0.584182i	0.394238	+	0.0754176i
$61$	−2.54050	−	2.20136i	−0.325278	−	0.281855i	0.476878	−	0.878970i	$-0.341768\pi$
$61$	−2.54050	−	2.20136i	−0.325278	−	0.281855i	−0.802156	+	0.597114i	$0.796314\pi$
$62$	−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	0.527131	+	0.849784i	$0.323268\pi$
$67$	−3.86956	+	7.08656i	−0.472741	+	0.865761i	−0.999872	+	0.0159772i	$0.994914\pi$
$68$	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	−0.916424	−	0.400208i	$-0.868938\pi$
$71$	−12.3949	+	3.63946i	−1.47100	+	0.431925i	−0.554576	+	0.832133i	$0.687120\pi$
$72$	−0.0760951	+	1.06395i	−0.00896790	+	0.125388i
$73$	1.27916	−	5.88018i	0.149714	−	0.688223i	−0.839694	−	0.543060i	$-0.817266\pi$
$73$	1.27916	−	5.88018i	0.149714	−	0.688223i	0.989408	−	0.145163i	$-0.0463708\pi$
$74$	−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	0.881953	−	0.471338i	$-0.156229\pi$
$79$	−0.460558	−	1.00848i	−0.0518168	−	0.113463i	−0.933770	+	0.357875i	$0.883501\pi$
$80$	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	−0.897649	−	0.440711i	$-0.854727\pi$
$83$	−6.62955	+	4.96282i	−0.727688	+	0.544740i	0.169962	+	0.985451i	$0.445636\pi$
$84$	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	0.973664	−	0.227987i	$-0.0732145\pi$
$89$	5.74936	+	6.63511i	0.609431	+	0.703320i	−0.364234	+	0.931308i	$0.618669\pi$
$90$	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	0.664629	−	0.747174i	$-0.268590\pi$
$97$	1.32929	+	0.995090i	0.134968	+	0.101036i	−0.529660	+	0.848210i	$0.677681\pi$
$98$	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	−0.991333	−	0.131373i	$-0.958061\pi$
$101$	−0.0315953	+	0.219750i	−0.00314385	+	0.0218659i	0.988189	+	0.153239i	$0.0489705\pi$
$102$	−4.42428	−	1.65017i	−0.438069	−	0.163391i
$103$	−2.64017	−	4.83510i	−0.260143	−	0.476417i	0.714663	−	0.699469i	$-0.246580\pi$
$103$	−2.64017	−	4.83510i	−0.260143	−	0.476417i	−0.974807	+	0.223052i	$0.928398\pi$
$104$	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	−0.862841	−	0.505475i	$-0.831317\pi$
$107$	−0.834965	−	11.6743i	−0.0807191	−	1.12860i	0.782122	−	0.623125i	$-0.214137\pi$
$108$	−1.97603	−	5.29795i	−0.190144	−	0.509796i
$109$	9.24960	+	5.94436i	0.885951	+	0.569366i	0.902593	−	0.430495i	$-0.141661\pi$
$109$	9.24960	+	5.94436i	0.885951	+	0.569366i	−0.0166415	+	0.999862i	$0.505297\pi$
$110$	−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	0.147744	−	0.989026i	$-0.452799\pi$
$113$	−6.42488	−	3.50825i	−0.604402	−	0.330028i	−0.752145	+	0.658997i	$0.770981\pi$
$114$	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	−0.829973	−	0.557803i	$-0.811644\pi$
$127$	−9.58476	−	17.5532i	−0.850510	−	1.55759i	−0.0205363	−	0.999789i	$-0.506537\pi$
$128$	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	−0.697646	−	0.716442i	$-0.745769\pi$
$131$	3.44128	−	7.53534i	0.300666	−	0.658366i	0.998312	+	0.0580762i	$0.0184966\pi$
$132$	−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	0.411376	−	0.911466i	$-0.365048\pi$
$137$	15.4835	−	15.4835i	1.32284	−	1.32284i	0.911466	−	0.411376i	$-0.134952\pi$
$138$	0.767134	−	6.62406i	0.0653027	−	0.563877i
$139$		−	12.2339i		−	1.03766i	−0.854877	−	0.518831i	$-0.826367\pi$
$139$		−	12.2339i		−	1.03766i	0.854877	−	0.518831i	$-0.173633\pi$
$140$	−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	0.871523	−	0.490354i	$-0.163133\pi$
$149$	16.3518	+	4.80132i	1.33959	+	0.393339i	0.468067	+	0.883693i	$0.344951\pi$
$150$	−2.56601	+	6.46134i	−0.209514	+	0.527566i
$151$	2.16009	+	4.72994i	0.175786	+	0.384917i	0.976932	−	0.213552i	$-0.0685032\pi$
$151$	2.16009	+	4.72994i	0.175786	+	0.384917i	−0.801146	+	0.598469i	$0.795776\pi$
$152$	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	0.472745	+	0.881199i	$0.343263\pi$
$157$	−4.05147	+	18.6243i	−0.323342	+	1.48638i	−0.796087	+	0.605182i	$0.793100\pi$
$158$	−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	0.456554	+	0.889696i	$0.349084\pi$
$163$	−6.87814	+	12.5964i	−0.538737	+	0.986624i	−0.995291	+	0.0969282i	$0.969098\pi$
$164$	−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	0.965995	+	0.258561i	$0.0832485\pi$
$167$	2.51615	+	11.5665i	0.194705	+	0.895046i	−0.771289	+	0.636485i	$0.780388\pi$
$168$	−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	−0.863091	−	0.505048i	$-0.831475\pi$
$173$	−11.9013	+	6.49861i	−0.904840	+	0.494080i	−0.0417489	+	0.999128i	$0.513293\pi$
$174$	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	−0.724610	−	0.689159i	$-0.757980\pi$
$179$	−16.3989	+	2.35780i	−1.22571	+	0.176230i	−0.501100	+	0.865390i	$0.667071\pi$
$180$	−2.30472	−	0.614132i	−0.171784	−	0.0457747i
$181$	−3.96973	+	3.43979i	−0.295068	+	0.255678i	−0.789795	−	0.613370i	$-0.789813\pi$
$181$	−3.96973	+	3.43979i	−0.295068	+	0.255678i	0.494728	+	0.869048i	$0.335268\pi$
$182$	−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	0.865607	−	0.500724i	$-0.166933\pi$
$191$	14.5671	+	6.65256i	1.05404	+	0.481363i	0.188430	+	0.982087i	$0.439660\pi$
$192$	−1.38690	+	0.0991931i	−0.100091	+	0.00715865i
$193$	−12.8866	−	17.2145i	−0.927597	−	1.23913i	−0.970759	−	0.240057i	$-0.922834\pi$
$193$	−12.8866	−	17.2145i	−0.927597	−	1.23913i	0.0431614	−	0.999068i	$-0.486257\pi$
$194$	−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	−0.0148135	−	0.999890i	$-0.504715\pi$
$197$	9.13962	−	24.5043i	0.651171	−	1.74586i	0.665984	−	0.745966i	$-0.268012\pi$
$198$	−0.875960	+	0.655735i	−0.0622518	+	0.0466011i
$199$	−1.40634	+	1.62301i	−0.0996930	+	0.115052i	−0.803404	−	0.595435i	$-0.796980\pi$
$199$	−1.40634	+	1.62301i	−0.0996930	+	0.115052i	0.703711	+	0.710487i	$0.251525\pi$
$200$	−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	−0.218923	−	0.975742i	$-0.570254\pi$
$211$	8.39156	−	5.39293i	0.577699	−	0.371265i	0.796622	+	0.604477i	$0.206618\pi$
$212$	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	0.828750	−	0.559618i	$-0.189052\pi$
$223$	−2.44978	−	6.56812i	−0.164049	−	0.439834i	−0.992800	+	0.119785i	$0.961780\pi$
$224$	−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	0.263335	−	0.964704i	$-0.415178\pi$
$227$	5.82619	+	0.416698i	0.386698	+	0.0276572i	0.123363	+	0.992362i	$0.460632\pi$
$228$	−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	0.529862	−	0.848084i	$-0.322244\pi$
$233$	14.2513	+	1.01927i	0.933635	+	0.0667749i	0.403774	+	0.914859i	$0.367698\pi$
$234$	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	0.215879	−	0.976420i	$-0.430738\pi$
$239$	2.28684	+	0.328799i	0.147924	+	0.0212682i	−0.0679551	+	0.997688i	$0.521647\pi$
$240$	1.15954	+	2.88481i	0.0748478	+	0.186214i
$241$	1.72920	−	5.88911i	0.111387	−	0.379351i	−0.884865	−	0.465848i	$-0.845749\pi$
$241$	1.72920	−	5.88911i	0.111387	−	0.379351i	0.996252	+	0.0864975i	$0.0275675\pi$
$242$	−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	−0.986306	−	0.164928i	$-0.947261\pi$
$251$	−3.89324	−	13.2592i	−0.245739	−	0.836911i	0.740566	−	0.671983i	$-0.234557\pi$
$252$	−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	−0.483980	−	0.875079i	$-0.660809\pi$
$257$	−20.6441	−	4.49085i	−1.28774	−	0.280132i	−0.803765	+	0.594947i	$0.797173\pi$
$258$	−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	−0.941932	−	0.335803i	$-0.890992\pi$
$263$	−0.164821	+	0.441902i	−0.0101633	+	0.0272488i	0.931769	+	0.363052i	$0.118265\pi$
$264$	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	0.612101	−	0.790780i	$-0.290325\pi$
$269$	6.81159	+	3.11075i	0.415310	+	0.189666i	−0.196791	+	0.980445i	$0.563052\pi$
$270$	12.4658	−	2.11396i	0.758645	−	0.128652i
$271$	−0.308941	−	2.14873i	−0.0187668	−	0.130526i	0.978284	−	0.207268i	$-0.0664573\pi$
$271$	−0.308941	−	2.14873i	−0.0187668	−	0.130526i	−0.997051	+	0.0767421i	$0.975548\pi$
$272$	−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	−0.831480	−	0.555555i	$-0.812506\pi$
$277$	−23.0849	−	23.0849i	−1.38703	−	1.38703i	−0.555555	−	0.831480i	$-0.687494\pi$
$278$	−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	−0.522176	−	0.852837i	$-0.674880\pi$
$281$	−13.1243	+	1.88699i	−0.782929	+	0.112568i	−0.260753	+	0.965406i	$0.583971\pi$
$282$	−2.87796	−	13.2298i	−0.171380	−	0.787822i
$283$	−27.1415	+	10.1233i	−1.61340	+	0.601766i	−0.984447	−	0.175679i	$-0.943788\pi$
$283$	−27.1415	+	10.1233i	−1.61340	+	0.601766i	−0.628950	+	0.777446i	$0.716515\pi$
$284$	−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	0.890560	+	0.454866i	$0.150313\pi$
$293$	4.61201	+	21.2011i	0.269436	+	1.23858i	−0.621123	+	0.783713i	$0.713323\pi$
$294$	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	0.393915	−	0.919147i	$-0.371121\pi$
$307$	16.0256	−	1.14617i	0.914628	−	0.0654155i	0.520713	+	0.853732i	$0.325666\pi$
$308$	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	0.470055	−	0.882637i	$-0.344234\pi$
$311$	6.84774	+	2.01068i	0.388300	+	0.114015i	−0.0817548	+	0.996652i	$0.526052\pi$
$312$	1.36690	−	3.66480i	0.0773854	−	0.207478i
$313$	20.9054	−	15.6496i	1.18165	−	0.884569i	0.186449	−	0.982465i	$-0.440302\pi$
$313$	20.9054	−	15.6496i	1.18165	−	0.884569i	0.995197	+	0.0978957i	$0.0312112\pi$
$314$	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	0.224434	+	0.974489i	$0.427947\pi$
$317$	−13.7773	+	18.4044i	−0.773812	+	1.03369i	−0.998246	+	0.0592025i	$0.981144\pi$
$318$	−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	0.432481	+	0.901643i	$0.357638\pi$
$331$	−4.30281	+	29.9267i	−0.236504	+	1.64492i	−0.668985	+	0.743276i	$0.733271\pi$
$332$	−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	0.914817	+	0.403868i	$0.132334\pi$
$337$	1.22606	+	17.1426i	0.0667879	+	0.933817i	−0.848029	+	0.529949i	$0.822211\pi$
$338$	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	0.781148	−	0.624346i	$-0.214634\pi$
$347$	12.6341	+	6.89875i	0.678235	+	0.370344i	−0.102913	+	0.994690i	$0.532816\pi$
$348$	−4.25227	−	0.304128i	−0.227946	−	0.0163030i
$349$	9.89283	+	15.3935i	0.529551	+	0.823998i	0.998236	−	0.0593678i	$-0.0189085\pi$
$349$	9.89283	+	15.3935i	0.529551	+	0.823998i	−0.468685	+	0.883365i	$0.655272\pi$
$350$	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	−0.815625	−	0.578581i	$-0.803607\pi$
$353$	−1.70302	−	23.8113i	−0.0906426	−	1.26735i	0.724982	−	0.688768i	$-0.241848\pi$
$354$	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	−0.663327	−	0.748330i	$-0.730856\pi$
$359$	3.48554	−	24.2424i	0.183960	−	1.27947i	0.847286	−	0.531137i	$-0.178235\pi$
$360$	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	−0.161322	−	0.986902i	$-0.551576\pi$
$367$	15.8158	−	15.8158i	0.825579	−	0.825579i	0.986902	+	0.161322i	$0.0515759\pi$
$368$	−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	−0.775070	−	0.631876i	$-0.782285\pi$
$373$	0.957411	−	1.27895i	0.0495729	−	0.0662216i	0.824643	+	0.565654i	$0.191376\pi$
$374$	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	0.263412	−	0.964683i	$-0.415152\pi$
$379$	−0.711330	−	0.208865i	−0.0365385	−	0.0107287i	−0.299951	+	0.953955i	$0.596970\pi$
$380$	−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	−0.359838	−	0.933015i	$-0.617168\pi$
$383$	−11.4141	+	0.816349i	−0.583231	+	0.0417135i	−0.223393	+	0.974728i	$0.571713\pi$
$384$	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	−0.854661	−	0.519187i	$-0.826235\pi$
$389$	−25.5010	+	7.48778i	−1.29295	+	0.379645i	−0.438292	+	0.898832i	$0.644417\pi$
$390$	−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	0.939238	−	0.343266i	$-0.111533\pi$
$397$	−1.15007	−	5.28681i	−0.0577206	−	0.265337i	−0.996959	+	0.0779283i	$0.975169\pi$
$398$	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	−0.888574	−	0.458734i	$-0.848303\pi$
$401$	−22.5036	+	10.2771i	−1.12378	+	0.513212i	−0.235204	+	0.971946i	$0.575576\pi$
$402$	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	−0.463276	−	0.886214i	$-0.653326\pi$
$409$	−13.3095	+	1.91361i	−0.658110	+	0.0946220i	−0.194834	+	0.980836i	$0.562417\pi$
$410$	−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	0.965272	−	0.261246i	$-0.0841335\pi$
$419$	−0.706224	−	4.91189i	−0.0345013	−	0.239962i	−0.999773	+	0.0212846i	$0.993224\pi$
$420$	−2.11790	−	12.4890i	−0.103343	−	0.609401i
$421$	−11.6038	−	5.29927i	−0.565534	−	0.258271i	0.112067	−	0.993701i	$-0.464253\pi$
$421$	−11.6038	−	5.29927i	−0.565534	−	0.258271i	−0.677601	+	0.735430i	$0.736980\pi$
$422$	−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	−0.578453	−	0.815716i	$-0.696343\pi$
$431$	8.38407	−	13.0459i	0.403847	−	0.628397i	0.982299	+	0.187318i	$0.0599796\pi$
$432$	3.38860	−	4.52664i	0.163034	−	0.217788i
$433$	−27.2094	−	5.91904i	−1.30760	−	0.284451i	−0.495825	−	0.868423i	$-0.665134\pi$
$433$	−27.2094	−	5.91904i	−1.30760	−	0.284451i	−0.811774	+	0.583972i	$0.801498\pi$
$434$	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	0.990754	+	0.135670i	$0.0433186\pi$
$439$	4.83218	+	16.4569i	0.230627	+	0.785445i	−0.760127	+	0.649775i	$0.774863\pi$
$440$	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	−0.782550	−	0.622587i	$-0.786082\pi$
$443$	−26.0096	+	5.65803i	−1.23575	+	0.268821i	−0.453201	+	0.891408i	$0.649718\pi$
$444$	−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	−0.999614	−	0.0277818i	$-0.991156\pi$
$449$	−3.04421	+	10.3676i	−0.143665	+	0.489279i	0.855949	+	0.517061i	$0.172974\pi$
$450$	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	0.111131	−	0.993806i	$-0.464553\pi$
$457$	1.70372	+	0.121853i	0.0796968	+	0.00570003i	−0.0314338	+	0.999506i	$0.510007\pi$
$458$	−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	0.392713	−	0.919661i	$-0.371537\pi$
$463$	13.9981	+	1.00116i	0.650547	+	0.0465280i	0.257834	+	0.966189i	$0.416991\pi$
$464$	−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	0.999970	+	0.00777596i	$0.00247519\pi$
$467$	5.38818	+	14.4463i	0.249335	+	0.668494i	−0.750635	+	0.660718i	$0.770252\pi$
$468$	−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	−0.822902	−	0.568183i	$-0.807647\pi$
$479$	−14.1802	+	9.11308i	−0.647911	+	0.416387i	0.174991	+	0.984570i	$0.444010\pi$
$480$	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	0.502440	−	0.864612i	$-0.332436\pi$
$487$	13.2475	+	2.88182i	0.600302	+	0.130588i	0.0978622	+	0.995200i	$0.468800\pi$
$488$	−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	−0.678173	−	0.734903i	$-0.737228\pi$
$491$	3.22991	−	3.72752i	0.145764	−	0.168220i	0.823936	+	0.566682i	$0.191773\pi$
$492$	−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	0.898547	−	0.438877i	$-0.144624\pi$
$499$	25.8072	+	11.7858i	1.15529	+	0.527603i	0.256742	+	0.966480i	$0.417351\pi$
$500$	−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	−0.998125	−	0.0612125i	$-0.980503\pi$
$503$	−0.0324759	+	0.454073i	−0.00144803	+	0.0202461i	0.996677	+	0.0814586i	$0.0259578\pi$
$504$	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	−0.406359	−	0.913713i	$-0.633202\pi$
$509$	9.93188	−	8.60602i	0.440223	−	0.381455i	0.846582	+	0.532258i	$0.178656\pi$
$510$	−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	−0.994936	−	0.100511i	$-0.967952\pi$
$521$	−28.2126	−	24.4464i	−1.23602	−	1.07102i	−0.241082	−	0.970505i	$-0.577502\pi$
$522$	−3.06422	+	1.14290i	−0.134117	+	0.0500232i
$523$	−5.18409	−	23.8309i	−0.226685	−	1.04205i	−0.939991	−	0.341200i	$-0.889167\pi$
$523$	−5.18409	−	23.8309i	−0.226685	−	1.04205i	0.713306	−	0.700853i	$-0.247197\pi$
$524$	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	0.417560	−	0.908649i	$-0.362885\pi$
$541$	6.45639	+	1.89577i	0.277582	+	0.0815054i	−0.139979	+	0.990155i	$0.544703\pi$
$542$	−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	−0.455378	+	0.890298i	$0.650496\pi$
$547$	−27.6287	+	36.9076i	−1.18132	+	1.57806i	−0.725940	+	0.687758i	$0.758595\pi$
$548$	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	0.744320	−	0.667823i	$-0.232774\pi$
$557$	7.39291	+	5.53426i	0.313248	+	0.234494i	−0.431072	+	0.902317i	$0.641865\pi$
$558$	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	0.716026	−	0.698073i	$-0.245959\pi$
$563$	−6.12987	−	11.2260i	−0.258343	−	0.473121i	−0.974370	+	0.224953i	$0.927777\pi$
$564$	−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	0.196545	−	0.980495i	$-0.437028\pi$
$569$	−14.6390	−	9.40789i	−0.613697	−	0.394399i	−0.810242	+	0.586096i	$0.800664\pi$
$570$	1.56431	−	1.89994i	0.0655217	−	0.0795798i
$571$	5.27574	+	8.20921i	0.220783	+	0.343545i	0.933921	−	0.357478i	$-0.116363\pi$
$571$	5.27574	+	8.20921i	0.220783	+	0.343545i	−0.713139	+	0.701023i	$0.752727\pi$
$572$	−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	0.239911	−	0.970795i	$-0.422882\pi$
$577$	−10.7389	−	5.86391i	−0.447068	−	0.244118i	−0.686979	+	0.726677i	$0.741064\pi$
$578$	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	0.901108	−	0.433595i	$-0.142755\pi$
$587$	1.19128	+	2.18166i	0.0491692	+	0.0900467i	−0.851939	+	0.523641i	$0.824573\pi$
$588$	−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	0.424663	−	0.905352i	$-0.360393\pi$
$593$	−7.89903	−	5.91314i	−0.324374	−	0.242823i	−0.749037	+	0.662528i	$0.769484\pi$
$594$	−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	$-0.955575\pi$
$599$		−	6.80936i		−	0.278223i	0.990277	−	0.139112i	$-0.0444247\pi$
$600$	−6.82292	+	1.33460i	−0.278544	+	0.0544847i
$601$	−23.3376	−	26.9330i	−0.951959	−	1.09862i	−0.995033	−	0.0995470i	$-0.968261\pi$
$601$	−23.3376	−	26.9330i	−0.951959	−	1.09862i	0.0430742	−	0.999072i	$-0.486285\pi$
$602$	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	−0.709771	−	0.704433i	$-0.751202\pi$
$607$	−5.76116	+	4.31275i	−0.233838	+	0.175049i	0.475933	+	0.879482i	$0.342111\pi$
$608$	−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	0.266326	−	0.963883i	$-0.414190\pi$
$613$	16.5170	−	1.18132i	0.667116	−	0.0477131i	0.400790	+	0.916170i	$0.368736\pi$
$614$	−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	−0.377926	−	0.925836i	$-0.623363\pi$
$617$	8.70509	−	40.0167i	0.350454	−	1.61101i	0.728379	−	0.685174i	$-0.240274\pi$
$618$	−0.546451	+	7.64039i	−0.0219815	+	0.307341i
$619$	23.7516	−	6.97411i	0.954658	−	0.280313i	0.232933	−	0.972493i	$-0.425168\pi$
$619$	23.7516	−	6.97411i	0.954658	−	0.280313i	0.721725	+	0.692180i	$0.243349\pi$
$620$	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	0.266767	−	0.963761i	$-0.414044\pi$
$631$	29.3857	−	13.4200i	1.16982	−	0.534241i	0.903057	+	0.429520i	$0.141317\pi$
$632$	−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	−0.245152	+	0.969485i	$0.578838\pi$
$641$	−31.3856	+	27.1958i	−1.23966	+	1.07417i	−0.994505	+	0.104685i	$0.966617\pi$
$642$	−7.79928	+	14.2833i	−0.307813	+	0.563718i
$643$	27.6421	+	27.6421i	1.09010	+	1.09010i	0.995517	+	0.0945826i	$0.0301517\pi$
$643$	27.6421	+	27.6421i	1.09010	+	1.09010i	0.0945826	+	0.995517i	$0.469848\pi$
$644$	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	0.983553	+	0.180618i	$0.0578099\pi$
$647$	−0.399183	+	5.58131i	−0.0156935	+	0.219424i	−0.999247	+	0.0388057i	$0.987645\pi$
$648$	−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	0.672478	−	0.740117i	$-0.265230\pi$
$653$	−5.80376	−	7.75292i	−0.227119	−	0.303395i	−0.899596	+	0.436722i	$0.856139\pi$
$654$	−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	−0.744732	−	0.667364i	$-0.767423\pi$
$659$	0.560278	−	0.646595i	0.0218253	−	0.0251878i	0.766557	+	0.642176i	$0.221968\pi$
$660$	−1.45755	+	2.83688i	−0.0567350	+	0.110425i
$661$	25.5694	−	39.7868i	0.994535	−	1.54753i	0.167120	−	0.985937i	$-0.446553\pi$
$661$	25.5694	−	39.7868i	0.994535	−	1.54753i	0.827415	−	0.561590i	$-0.189810\pi$
$662$	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	0.653063	−	0.757303i	$-0.273484\pi$
$673$	40.5141	−	8.81331i	1.56171	−	0.339728i	0.908642	+	0.417575i	$0.137120\pi$
$674$	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	0.999995	−	0.00310367i	$-0.000987930\pi$
$677$	45.6301	+	17.0192i	1.75371	+	0.654100i	0.753713	+	0.657203i	$0.228261\pi$
$678$	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	0.915062	−	0.403313i	$-0.132141\pi$
$683$	−1.06129	−	2.84544i	−0.0406093	−	0.108878i	−0.955672	+	0.294435i	$0.904869\pi$
$684$	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	0.707745	+	0.706468i	$0.249713\pi$
$701$	−7.13787	+	24.3094i	−0.269594	+	0.918152i	−0.977338	+	0.211684i	$0.932105\pi$
$702$	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	−0.233564	−	0.972342i	$-0.575039\pi$
$709$	14.7483	−	9.47815i	0.553884	−	0.355959i	0.787447	+	0.616382i	$0.211402\pi$
$710$	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	−0.883523	−	0.468388i	$-0.844835\pi$
$719$	−2.42490	+	3.77322i	−0.0904336	+	0.140717i	0.793089	+	0.609105i	$0.208471\pi$
$720$	−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	0.295485	−	0.955347i	$-0.404519\pi$
$727$	−18.9930	−	25.3717i	−0.704412	−	0.940984i	−0.999897	+	0.0143632i	$0.995428\pi$
$728$	−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	−0.894027	−	0.448013i	$-0.852132\pi$
$733$	1.47984	−	20.6908i	0.0546590	−	0.764232i	0.948686	−	0.316219i	$-0.102414\pi$
$734$	−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	−0.214618	+	0.976698i	$0.568851\pi$
$739$	−32.9455	+	28.5474i	−1.21192	+	1.05013i	−0.997300	+	0.0734352i	$0.976604\pi$
$740$	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	−0.552995	−	0.833184i	$-0.686515\pi$
$743$	−11.5929	+	4.32392i	−0.425302	+	0.158629i	0.127694	+	0.991814i	$0.459243\pi$
$744$	−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	0.608556	−	0.793511i	$-0.291749\pi$
$751$	−2.47381	−	2.14357i	−0.0902707	−	0.0782200i	−0.698827	+	0.715291i	$0.746294\pi$
$752$	−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	−0.276058	−	0.961141i	$-0.589028\pi$
$757$	18.7575	−	34.3518i	0.681753	−	1.24854i	0.957812	−	0.287397i	$-0.0927900\pi$
$758$	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	−0.354330	−	0.935121i	$-0.615291\pi$
$761$	−4.05093	+	1.18946i	−0.146846	+	0.0431179i	0.207483	+	0.978239i	$0.433473\pi$
$762$	−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	−0.960506	−	0.278261i	$-0.910242\pi$
$769$	−15.0247	−	32.8994i	−0.541804	−	1.18638i	0.418702	−	0.908124i	$-0.362485\pi$
$770$	−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	0.0658885	−	0.997827i	$-0.479012\pi$
$773$	28.9667	−	21.6842i	1.04186	−	0.779926i	0.975971	+	0.217901i	$0.0699209\pi$
$774$	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	0.275177	−	0.961394i	$-0.411264\pi$
$787$	−15.9834	−	11.9650i	−0.569748	−	0.426508i	−0.844924	+	0.534886i	$0.820355\pi$
$788$	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	−0.999968	−	0.00800679i	$-0.997451\pi$
$797$	−0.319513	−	4.46737i	−0.0113177	−	0.158242i	0.988650	−	0.150236i	$-0.0480032\pi$
$798$	−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	−0.931569	−	0.363563i	$-0.881560\pi$
$809$	−24.8958	−	38.7387i	−0.875290	−	1.36198i	0.0562789	−	0.998415i	$-0.482076\pi$
$810$	10.3765	−	1.00532i	0.364592	−	0.0353233i
$811$	22.6434	+	14.5521i	0.795119	+	0.510992i	0.874020	−	0.485891i	$-0.161505\pi$
$811$	22.6434	+	14.5521i	0.795119	+	0.510992i	−0.0789007	+	0.996882i	$0.525141\pi$
$812$	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	0.378350	+	0.925663i	$0.376492\pi$
$821$	−16.3032	+	35.6990i	−0.568986	+	1.24591i	−0.947336	+	0.320243i	$0.896236\pi$
$822$	−29.7506	+	6.47186i	−1.03767	+	0.225732i
$823$	22.4520	+	16.8073i	0.782626	+	0.585867i	0.914117	−	0.405451i	$-0.132885\pi$
$823$	22.4520	+	16.8073i	0.782626	+	0.585867i	−0.131490	+	0.991317i	$0.541976\pi$
$824$	−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	−0.439536	−	0.898225i	$-0.644857\pi$
$827$	13.1908	−	13.1908i	0.458689	−	0.458689i	0.898225	+	0.439536i	$0.144857\pi$
$828$	3.24239	−	3.95674i	0.112681	−	0.137506i
$829$			17.7064i			0.614968i	0.951553	+	0.307484i	$0.0994870\pi$
$829$			17.7064i			0.614968i	−0.951553	+	0.307484i	$0.900513\pi$
$830$	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	−0.429032	−	0.903289i	$-0.641145\pi$
$839$	−37.0269	−	10.8721i	−1.27831	−	0.375346i	−0.849280	+	0.527943i	$0.822963\pi$
$840$	−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	−0.960418	−	0.278564i	$-0.910141\pi$
$853$	−6.04081	+	11.0629i	−0.206833	+	0.378787i	0.753584	+	0.657351i	$0.228323\pi$
$854$	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	0.955361	−	0.295442i	$-0.0954670\pi$
$857$	−1.06551	−	4.89807i	−0.0363972	−	0.167315i	−0.991758	+	0.128127i	$0.959103\pi$
$858$	3.75943	−	1.40219i	0.128345	−	0.0478701i
$859$	33.9082	+	29.3816i	1.15693	+	1.00249i	0.999889	+	0.0148967i	$0.00474195\pi$
$859$	33.9082	+	29.3816i	1.15693	+	1.00249i	0.157044	+	0.987592i	$0.449804\pi$
$860$	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	−0.374978	−	0.927034i	$-0.622350\pi$
$863$	5.93892	−	3.24290i	0.202163	−	0.110389i	0.577142	+	0.816644i	$0.304168\pi$
$864$	−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	0.587876	+	0.808951i	$0.299964\pi$
$877$	−3.23215	+	45.1914i	−0.109142	+	1.52601i	−0.697018	+	0.717054i	$0.745490\pi$
$878$	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	0.491337	−	0.870970i	$-0.336508\pi$
$881$	4.59646	+	2.09913i	0.154859	+	0.0707216i	−0.336478	+	0.941691i	$0.609236\pi$
$882$	−10.2132	+	0.730466i	−0.343898	+	0.0245961i
$883$	8.14781	+	10.8842i	0.274196	+	0.366283i	0.916409	−	0.400243i	$-0.131074\pi$
$883$	8.14781	+	10.8842i	0.274196	+	0.366283i	−0.642213	+	0.766526i	$0.721984\pi$
$884$	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	−0.944232	−	0.329282i	$-0.893193\pi$
$887$	−0.446600	+	1.19738i	−0.0149954	+	0.0402042i	0.929236	+	0.369486i	$0.120466\pi$
$888$	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	0.844559	−	0.535463i	$-0.179863\pi$
$907$	34.0972	+	12.7176i	1.13218	+	0.422281i	0.287621	+	0.957744i	$0.407136\pi$
$908$	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	0.465148	−	0.885233i	$-0.346001\pi$
$911$	19.9827	+	2.87308i	0.662056	+	0.0951893i	0.196908	+	0.980422i	$0.436910\pi$
$912$	−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	0.776873	−	0.629657i	$-0.216805\pi$
$929$	40.9914	+	5.89367i	1.34488	+	0.193365i	0.568010	+	0.823022i	$0.307714\pi$
$930$	−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	−0.427753	−	0.903896i	$-0.640695\pi$
$937$	−13.5102	+	2.93897i	−0.441359	+	0.0960118i	−0.0136061	+	0.999907i	$0.504331\pi$
$938$	−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	−0.988666	−	0.150132i	$-0.952030\pi$
$941$	−7.30434	−	24.8763i	−0.238115	−	0.810944i	0.750551	−	0.660812i	$-0.229788\pi$
$942$	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	−0.0118778	−	0.999929i	$-0.503781\pi$
$947$	−13.4808	−	2.93257i	−0.438068	−	0.0952959i	−0.426190	+	0.904634i	$0.640145\pi$
$948$	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	0.293204	+	0.956050i	$0.405279\pi$
$953$	−17.1167	+	45.8917i	−0.554465	+	1.48658i	−0.847668	+	0.530527i	$0.821994\pi$
$954$	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	0.163583	−	0.986530i	$-0.447695\pi$
$967$	−25.5909	−	25.5909i	−0.822947	−	0.822947i	−0.986530	+	0.163583i	$0.947695\pi$
$968$	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	−0.328684	−	0.944440i	$-0.606605\pi$
$971$	−11.7780	+	1.69342i	−0.377974	+	0.0543444i	−0.0492901	+	0.998785i	$0.515696\pi$
$972$	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	−0.752364	−	0.658748i	$-0.771087\pi$
$977$	−18.9089	+	10.3250i	−0.604949	+	0.330327i	0.147415	+	0.989075i	$0.452905\pi$
$978$	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	0.704905	+	0.709301i	$0.250990\pi$
$983$	11.2355	+	51.6486i	0.358355	+	1.64733i	−0.346550	+	0.938032i	$0.612647\pi$
$984$	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	0.597488	−	0.801878i	$-0.296165\pi$
$991$	48.2797	−	14.1762i	1.53366	−	0.450322i	0.936167	+	0.351556i	$0.114347\pi$
$992$	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	0.0341908	−	0.999415i	$-0.489115\pi$
$997$	6.63919	−	0.474844i	0.210265	−	0.0150385i	0.176074	+	0.984377i	$0.443660\pi$
$998$	−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.37.5	✓	240
5.3	odd	4	inner	230.2.l.a.83.2	yes	240
23.5	odd	22	inner	230.2.l.a.97.2	yes	240
115.28	even	44	inner	230.2.l.a.143.5	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.37.5	✓	240	1.1	even	1	trivial
230.2.l.a.83.2	yes	240	5.3	odd	4	inner
230.2.l.a.97.2	yes	240	23.5	odd	22	inner
230.2.l.a.143.5	yes	240	115.28	even	44	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
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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