LMFDB - Embedded newform 230.2.l.a.97.2

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			97.2
Character	$\chi$	$=$	230.97
Dual form			230.2.l.a.83.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.479249 - 0.877679i) q^{2} +(-0.0991931 - 1.38690i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(1.85006 - 1.25589i) q^{5} +(-1.16972 + 0.751731i) q^{6} +(-3.81735 - 1.42380i) q^{7} +(0.997452 + 0.0713392i) q^{8} +(1.05581 - 0.151803i) q^{9} +O(q^{10})$	\(q+(-0.479249 - 0.877679i) q^{2} +(-0.0991931 - 1.38690i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(1.85006 - 1.25589i) q^{5} +(-1.16972 + 0.751731i) q^{6} +(-3.81735 - 1.42380i) q^{7} +(0.997452 + 0.0713392i) q^{8} +(1.05581 - 0.151803i) q^{9} +(-1.98891 - 1.02188i) q^{10} +(-0.289007 - 0.984268i) q^{11} +(1.22036 + 0.666369i) q^{12} +(-0.983067 - 2.63570i) q^{13} +(0.579824 + 4.03276i) q^{14} +(-1.92531 - 2.44128i) q^{15} +(-0.415415 - 0.909632i) q^{16} +(-0.721880 + 3.31843i) q^{17} +(-0.639230 - 0.853911i) q^{18} +(0.665904 + 0.427950i) q^{19} +(0.0563056 + 2.23536i) q^{20} +(-1.59601 + 5.43552i) q^{21} +(-0.725365 + 0.725365i) q^{22} +(-4.30601 - 2.11147i) q^{23} -1.39044i q^{24} +(1.84546 - 4.64696i) q^{25} +(-1.84217 + 2.12598i) q^{26} +(-1.20194 - 5.52525i) q^{27} +(3.26159 - 2.44160i) q^{28} +(1.65762 + 2.57930i) q^{29} +(-1.21995 + 2.85979i) q^{30} +(2.43591 + 2.81119i) q^{31} +(-0.599278 + 0.800541i) q^{32} +(-1.33642 + 0.498457i) q^{33} +(3.25848 - 0.956775i) q^{34} +(-8.85048 + 2.16007i) q^{35} +(-0.443109 + 0.970274i) q^{36} +(6.03147 + 4.51510i) q^{37} +(0.0564693 - 0.789545i) q^{38} +(-3.55795 + 1.62486i) q^{39} +(1.93494 - 1.12071i) q^{40} +(1.56781 - 10.9044i) q^{41} +(5.53553 - 1.20418i) q^{42} +(9.39565 - 0.671990i) 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} +(-1.22036 + 0.666369i) q^{48} +(7.25473 + 6.28626i) q^{49} +(-4.96298 + 0.607329i) q^{50} +(4.67394 + 0.672011i) q^{51} +(2.74878 + 0.597961i) q^{52} +(1.26855 - 3.40112i) q^{53} +(-4.27336 + 3.70289i) q^{54} +(-1.77082 - 1.45800i) q^{55} +(-3.70605 - 1.69250i) q^{56} +(0.527472 - 0.965992i) q^{57} +(1.46939 - 2.69098i) q^{58} +(9.77148 + 4.46249i) q^{59} +(3.09464 - 0.299822i) q^{60} +(-2.54050 + 2.20136i) q^{61} +(1.29991 - 3.48520i) q^{62} +(-4.24653 - 0.923777i) q^{63} +(0.989821 + 0.142315i) q^{64} +(-5.12890 - 3.64159i) q^{65} +(1.07796 + 0.934058i) q^{66} +(7.08656 - 3.86956i) 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} +(1.06395 - 0.0760951i) q^{72} +(5.88018 - 1.27916i) q^{73} +(1.07223 - 7.45756i) q^{74} +(-6.62793 - 2.09853i) q^{75} +(-0.720030 + 0.328826i) q^{76} +(-0.298158 + 4.16879i) q^{77} +(3.13125 + 2.34402i) q^{78} +(0.460558 - 1.00848i) q^{79} +(-1.91094 - 1.16116i) q^{80} +(-4.47337 + 1.31350i) q^{81} +(-10.3219 + 3.84988i) q^{82} +(-4.96282 + 6.62955i) q^{83} +(-3.70978 - 4.28131i) q^{84} +(2.83207 + 7.04591i) q^{85} +(-5.09265 - 7.92432i) q^{86} +(3.41281 - 2.55480i) q^{87} +(-0.218054 - 1.00238i) q^{88} +(-5.74936 + 6.63511i) q^{89} +(-2.25504 - 0.776984i) q^{90} +11.4611i q^{91} +(4.10429 - 2.48089i) q^{92} +(3.65721 - 3.65721i) q^{93} +(2.74332 - 9.34289i) q^{94} +(1.76942 - 0.0445693i) q^{95} +(1.16972 + 0.751731i) q^{96} +(0.995090 + 1.32929i) q^{97} +(2.04049 - 9.38000i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

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

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 $

$2$	−0.479249	−	0.877679i	−0.338880	−	0.620613i
$2$	−0.479249	−	0.877679i	−0.338880	−	0.620613i
$3$	−0.0991931	−	1.38690i	−0.0572692	−	0.800728i	−0.942210	−	0.335024i	$-0.891256\pi$
$3$	−0.0991931	−	1.38690i	−0.0572692	−	0.800728i	0.884941	−	0.465704i	$-0.154199\pi$
$4$	−0.540641	+	0.841254i	−0.270320	+	0.420627i
$5$	1.85006	−	1.25589i	0.827373	−	0.561653i
$5$	1.85006	−	1.25589i	0.827373	−	0.561653i
$6$	−1.16972	+	0.751731i	−0.477534	+	0.306893i
$7$	−3.81735	−	1.42380i	−1.44282	−	0.538145i	−0.498420	−	0.866935i	$-0.666086\pi$
$7$	−3.81735	−	1.42380i	−1.44282	−	0.538145i	−0.944403	+	0.328790i	$0.893359\pi$
$8$	0.997452	+	0.0713392i	0.352653	+	0.0252222i
$9$	1.05581	−	0.151803i	0.351937	−	0.0506008i
$10$	−1.98891	−	1.02188i	−0.628949	−	0.323145i
$11$	−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	$0.958515\pi$
$12$	1.22036	+	0.666369i	0.352288	+	0.192364i
$13$	−0.983067	−	2.63570i	−0.272654	−	0.731013i	−0.999043	−	0.0437297i	$-0.986076\pi$
$13$	−0.983067	−	2.63570i	−0.272654	−	0.731013i	0.726390	−	0.687283i	$-0.241197\pi$
$14$	0.579824	+	4.03276i	0.154964	+	1.07780i
$15$	−1.92531	−	2.44128i	−0.497114	−	0.630335i
$16$	−0.415415	−	0.909632i	−0.103854	−	0.227408i
$17$	−0.721880	+	3.31843i	−0.175082	+	0.804838i	0.802894	+	0.596121i	$0.203292\pi$
$17$	−0.721880	+	3.31843i	−0.175082	+	0.804838i	−0.977976	+	0.208716i	$0.933071\pi$
$18$	−0.639230	−	0.853911i	−0.150668	−	0.201269i
$19$	0.665904	+	0.427950i	0.152769	+	0.0981785i	0.614792	−	0.788689i	$-0.289240\pi$
$19$	0.665904	+	0.427950i	0.152769	+	0.0981785i	−0.462023	+	0.886868i	$0.652876\pi$
$20$	0.0563056	+	2.23536i	0.0125903	+	0.499841i
$21$	−1.59601	+	5.43552i	−0.348278	+	1.18613i
$22$	−0.725365	+	0.725365i	−0.154648	+	0.154648i
$23$	−4.30601	−	2.11147i	−0.897864	−	0.440272i
$23$	−4.30601	−	2.11147i	−0.897864	−	0.440272i
$24$		−	1.39044i		−	0.283823i
$25$	1.84546	−	4.64696i	0.369093	−	0.929393i
$26$	−1.84217	+	2.12598i	−0.361279	+	0.416938i
$27$	−1.20194	−	5.52525i	−0.231314	−	1.06333i
$28$	3.26159	−	2.44160i	0.616383	−	0.461418i
$29$	1.65762	+	2.57930i	0.307812	+	0.478964i	0.960352	−	0.278789i	$-0.0899331\pi$
$29$	1.65762	+	2.57930i	0.307812	+	0.478964i	−0.652541	+	0.757754i	$0.726297\pi$
$30$	−1.21995	+	2.85979i	−0.222732	+	0.522123i
$31$	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	$0.664315\pi$
$32$	−0.599278	+	0.800541i	−0.105938	+	0.141517i
$33$	−1.33642	+	0.498457i	−0.232640	+	0.0867702i
$34$	3.25848	−	0.956775i	0.558824	−	0.164086i
$35$	−8.85048	+	2.16007i	−1.49600	+	0.365119i
$36$	−0.443109	+	0.970274i	−0.0738516	+	0.161712i
$37$	6.03147	+	4.51510i	0.991568	+	0.742279i	0.966304	−	0.257402i	$-0.0828665\pi$
$37$	6.03147	+	4.51510i	0.991568	+	0.742279i	0.0252637	+	0.999681i	$0.491957\pi$
$38$	0.0564693	−	0.789545i	0.00916054	−	0.128081i
$39$	−3.55795	+	1.62486i	−0.569727	+	0.260186i
$40$	1.93494	−	1.12071i	0.305941	−	0.177200i
$41$	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	$-0.284236\pi$
$42$	5.53553	−	1.20418i	0.854151	−	0.185809i
$43$	9.39565	−	0.671990i	1.43282	−	0.102478i	0.666775	−	0.745259i	$-0.267674\pi$
$43$	9.39565	−	0.671990i	1.43282	−	0.102478i	0.766049	+	0.642782i	$0.222220\pi$
$44$	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	$0.498619\pi$
$48$	−1.22036	+	0.666369i	−0.176144	+	0.0961820i
$49$	7.25473	+	6.28626i	1.03639	+	0.898036i
$50$	−4.96298	+	0.607329i	−0.701871	+	0.0858892i
$51$	4.67394	+	0.672011i	0.654482	+	0.0941004i
$52$	2.74878	+	0.597961i	0.381187	+	0.0829222i
$53$	1.26855	−	3.40112i	0.174249	−	0.467179i	−0.820240	−	0.572019i	$-0.806160\pi$
$53$	1.26855	−	3.40112i	0.174249	−	0.467179i	0.994489	+	0.104840i	$0.0334330\pi$
$54$	−4.27336	+	3.70289i	−0.581531	+	0.503900i
$55$	−1.77082	−	1.45800i	−0.238777	−	0.196596i
$56$	−3.70605	−	1.69250i	−0.495242	−	0.226170i
$57$	0.527472	−	0.965992i	0.0698653	−	0.127949i
$58$	1.46939	−	2.69098i	0.192940	−	0.353343i
$59$	9.77148	+	4.46249i	1.27214	+	0.580966i	0.933036	−	0.359783i	$-0.117149\pi$
$59$	9.77148	+	4.46249i	1.27214	+	0.580966i	0.339103	+	0.940749i	$0.389877\pi$
$60$	3.09464	−	0.299822i	0.399516	−	0.0387069i
$61$	−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	$0.341768\pi$
$62$	1.29991	−	3.48520i	0.165089	−	0.442621i
$63$	−4.24653	−	0.923777i	−0.535013	−	0.116385i
$64$	0.989821	+	0.142315i	0.123728	+	0.0177894i
$65$	−5.12890	−	3.64159i	−0.636162	−	0.451684i
$66$	1.07796	+	0.934058i	0.132688	+	0.114975i
$67$	7.08656	−	3.86956i	0.865761	−	0.472741i	0.0159772	−	0.999872i	$-0.494914\pi$
$67$	7.08656	−	3.86956i	0.865761	−	0.472741i	0.849784	+	0.527131i	$0.176732\pi$
$68$	−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	$0.868938\pi$
$72$	1.06395	−	0.0760951i	0.125388	−	0.00896790i
$73$	5.88018	−	1.27916i	0.688223	−	0.149714i	0.145163	−	0.989408i	$-0.453629\pi$
$73$	5.88018	−	1.27916i	0.688223	−	0.149714i	0.543060	+	0.839694i	$0.317266\pi$
$74$	1.07223	−	7.45756i	0.124645	−	0.866923i
$75$	−6.62793	−	2.09853i	−0.765328	−	0.242317i
$76$	−0.720030	+	0.328826i	−0.0825930	+	0.0377190i
$77$	−0.298158	+	4.16879i	−0.0339782	+	0.475077i
$78$	3.13125	+	2.34402i	0.354544	+	0.265408i
$79$	0.460558	−	1.00848i	0.0518168	−	0.113463i	−0.881953	−	0.471338i	$-0.843771\pi$
$79$	0.460558	−	1.00848i	0.0518168	−	0.113463i	0.933770	+	0.357875i	$0.116499\pi$
$80$	−1.91094	−	1.16116i	−0.213650	−	0.129822i
$81$	−4.47337	+	1.31350i	−0.497041	+	0.145944i
$82$	−10.3219	+	3.84988i	−1.13987	+	0.425148i
$83$	−4.96282	+	6.62955i	−0.544740	+	0.727688i	−0.985451	−	0.169962i	$-0.945636\pi$
$83$	−4.96282	+	6.62955i	−0.544740	+	0.727688i	0.440711	+	0.897649i	$0.354727\pi$
$84$	−3.70978	−	4.28131i	−0.404770	−	0.467130i
$85$	2.83207	+	7.04591i	0.307181	+	0.764236i
$86$	−5.09265	−	7.92432i	−0.549155	−	0.854501i
$87$	3.41281	−	2.55480i	0.365892	−	0.273903i
$88$	−0.218054	−	1.00238i	−0.0232446	−	0.106854i
$89$	−5.74936	+	6.63511i	−0.609431	+	0.703320i	−0.973664	−	0.227987i	$-0.926786\pi$
$89$	−5.74936	+	6.63511i	−0.609431	+	0.703320i	0.364234	+	0.931308i	$0.381331\pi$
$90$	−2.25504	−	0.776984i	−0.237702	−	0.0819013i
$91$			11.4611i			1.20145i
$92$	4.10429	−	2.48089i	0.427901	−	0.258651i
$93$	3.65721	−	3.65721i	0.379235	−	0.379235i
$94$	2.74332	−	9.34289i	0.282952	−	0.963645i
$95$	1.76942	−	0.0445693i	0.181539	−	0.00457272i
$96$	1.16972	+	0.751731i	0.119384	+	0.0767232i
$97$	0.995090	+	1.32929i	0.101036	+	0.134968i	0.848210	−	0.529660i	$-0.177681\pi$
$97$	0.995090	+	1.32929i	0.101036	+	0.134968i	−0.747174	+	0.664629i	$0.768590\pi$
$98$	2.04049	−	9.38000i	0.206121	−	0.947523i
$99$	−0.454551	−	0.995328i	−0.0456841	−	0.100034i
$100$	2.91154	+	4.06484i	0.291154	+	0.406484i
$101$	−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	$0.958061\pi$
$102$	−1.65017	−	4.42428i	−0.163391	−	0.438069i
$103$	4.83510	+	2.64017i	0.476417	+	0.260143i	0.699469	−	0.714663i	$-0.253420\pi$
$103$	4.83510	+	2.64017i	0.476417	+	0.260143i	−0.223052	+	0.974807i	$0.571602\pi$
$104$	−0.792533	−	2.69912i	−0.0777143	−	0.264670i
$105$	3.87371	+	12.0605i	0.378035	+	1.17698i
$106$	−3.59304	+	0.516601i	−0.348987	+	0.0501768i
$107$	−11.6743	−	0.834965i	−1.12860	−	0.0807191i	−0.505475	−	0.862841i	$-0.668683\pi$
$107$	−11.6743	−	0.834965i	−1.12860	−	0.0807191i	−0.623125	+	0.782122i	$0.714137\pi$
$108$	5.29795	+	1.97603i	0.509796	+	0.190144i
$109$	−9.24960	+	5.94436i	−0.885951	+	0.569366i	−0.902593	−	0.430495i	$-0.858339\pi$
$109$	−9.24960	+	5.94436i	−0.885951	+	0.569366i	0.0166415	+	0.999862i	$0.494703\pi$
$110$	−0.430990	+	2.25295i	−0.0410932	+	0.214811i
$111$	5.66372	−	8.81292i	0.537577	−	0.836486i
$112$	0.290652	+	4.06385i	0.0274641	+	0.383998i
$113$	3.50825	+	6.42488i	0.330028	+	0.604402i	0.989026	−	0.147744i	$-0.0472010\pi$
$113$	3.50825	+	6.42488i	0.330028	+	0.604402i	−0.658997	+	0.752145i	$0.729019\pi$
$114$	−1.10062			−0.103083
$115$	−10.6182	+	1.50153i	−0.990149	+	0.140018i
$116$	−3.06602			−0.284673
$117$	−1.43804	−	2.63357i	−0.132947	−	0.243474i
$118$	−0.766342	−	10.7149i	−0.0705475	−	0.986383i
$119$	7.48045	−	11.6398i	0.685732	−	1.06702i
$120$	−1.74625	−	2.57241i	−0.159410	−	0.234828i
$121$	8.36853	−	5.37813i	0.760775	−	0.488921i
$122$	3.14962	+	1.17475i	0.285153	+	0.106357i
$123$	−15.2788	−	1.09276i	−1.37765	−	0.0985311i
$124$	−3.68187	+	0.529373i	−0.330642	+	0.0475391i
$125$	−2.42187	−	10.9149i	−0.216619	−	0.976256i
$126$	1.22437	+	4.16981i	0.109075	+	0.371476i
$127$	−17.5532	−	9.58476i	−1.55759	−	0.850510i	−0.999789	−	0.0205363i	$-0.993463\pi$
$127$	−17.5532	−	9.58476i	−1.55759	−	0.850510i	−0.557803	−	0.829973i	$-0.688356\pi$
$128$	−0.349464	−	0.936950i	−0.0308886	−	0.0828154i
$129$	−1.86397	−	12.9642i	−0.164113	−	1.14143i
$130$	−0.738127	+	6.24676i	−0.0647381	+	0.547877i
$131$	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	$0.745769\pi$
$132$	0.303192	−	1.39375i	0.0263895	−	0.121310i
$133$	−1.93267	−	2.58175i	−0.167584	−	0.223866i
$134$	−6.79246	−	4.36525i	−0.586779	−	0.377100i
$135$	−9.16280	−	8.71254i	−0.788608	−	0.749856i
$136$	−0.956775	+	3.25848i	−0.0820428	+	0.279412i
$137$	−15.4835	+	15.4835i	−1.32284	+	1.32284i	−0.411376	+	0.911466i	$0.634952\pi$
$137$	−15.4835	+	15.4835i	−1.32284	+	1.32284i	−0.911466	+	0.411376i	$0.865048\pi$
$138$	6.62406	−	0.767134i	0.563877	−	0.0653027i
$139$		−	12.2339i		−	1.03766i	−0.854877	−	0.518831i	$-0.826367\pi$
$139$		−	12.2339i		−	1.03766i	0.854877	−	0.518831i	$-0.173633\pi$
$140$	2.96776	−	8.61332i	0.250822	−	0.727958i
$141$	8.86628	−	10.2322i	0.746676	−	0.861710i
$142$	2.74595	+	12.6229i	0.230435	+	1.05929i
$143$	−2.31013	+	1.72934i	−0.193183	+	0.144615i
$144$	−0.576684	−	0.897337i	−0.0480570	−	0.0747781i
$145$	6.30602	+	2.69008i	0.523687	+	0.223399i
$146$	−3.94076	−	4.54788i	−0.326140	−	0.376385i
$147$	7.99879	−	10.6851i	0.659729	−	0.881295i
$148$	−7.05921	+	2.63295i	−0.580263	+	0.216427i
$149$	−16.3518	+	4.80132i	−1.33959	+	0.393339i	−0.871523	−	0.490354i	$-0.836867\pi$
$149$	−16.3518	+	4.80132i	−1.33959	+	0.393339i	−0.468067	+	0.883693i	$0.655049\pi$
$150$	1.33460	+	6.82292i	0.108969	+	0.557089i
$151$	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	$0.0685032\pi$
$152$	0.633677	+	0.474365i	0.0513980	+	0.0384761i
$153$	−0.258422	+	3.61321i	−0.0208922	+	0.292111i
$154$	3.80175	−	1.73620i	0.306354	−	0.139907i
$155$	8.03713	+	2.14163i	0.645558	+	0.172020i
$156$	0.556652	−	3.87160i	0.0445678	−	0.309976i
$157$	18.6243	−	4.05147i	1.48638	−	0.323342i	0.605182	−	0.796087i	$-0.293100\pi$
$157$	18.6243	−	4.05147i	1.48638	−	0.323342i	0.881199	+	0.472745i	$0.156737\pi$
$158$	−1.10584	+	0.0790916i	−0.0879763	+	0.00629219i
$159$	−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
$163$	−12.5964	+	6.87814i	−0.986624	+	0.538737i	−0.889696	−	0.456554i	$-0.849084\pi$
$163$	−12.5964	+	6.87814i	−0.986624	+	0.538737i	−0.0969282	+	0.995291i	$0.530902\pi$
$164$	8.32573	+	7.21429i	0.650131	+	0.563341i
$165$	−1.84644	+	2.60057i	−0.143745	+	0.202454i
$166$	8.19704	+	1.17856i	0.636214	+	0.0914737i
$167$	11.5665	+	2.51615i	0.895046	+	0.194705i	0.636485	−	0.771289i	$-0.280388\pi$
$167$	11.5665	+	2.51615i	0.895046	+	0.194705i	0.258561	+	0.965995i	$0.416752\pi$
$168$	−1.97971	+	5.30781i	−0.152738	+	0.409507i
$169$	3.84423	−	3.33104i	0.295710	−	0.256234i
$170$	4.82678	−	5.86239i	0.370197	−	0.449625i
$171$	0.768032	+	0.350748i	0.0587328	+	0.0268224i
$172$	−4.51436	+	8.26743i	−0.344217	+	0.630386i
$173$	−6.49861	+	11.9013i	−0.494080	+	0.904840i	0.505048	+	0.863091i	$0.331475\pi$
$173$	−6.49861	+	11.9013i	−0.494080	+	0.904840i	−0.999128	+	0.0417489i	$0.986707\pi$
$174$	−3.87788	−	1.77097i	−0.293981	−	0.134257i
$175$	−13.6611	+	15.1115i	−1.03268	+	1.14232i
$176$	−0.775264	+	0.671770i	−0.0584377	+	0.0506366i
$177$	5.21976	−	13.9947i	0.392341	−	1.05191i
$178$	8.57887	+	1.86622i	0.643014	+	0.139879i
$179$	16.3989	+	2.35780i	1.22571	+	0.176230i	0.724610	−	0.689159i	$-0.242020\pi$
$179$	16.3989	+	2.35780i	1.22571	+	0.176230i	0.501100	+	0.865390i	$0.332929\pi$
$180$	0.398781	+	2.35157i	0.0297234	+	0.175275i
$181$	−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	$0.789813\pi$
$182$	10.0592	−	5.49272i	0.745635	−	0.407147i
$183$	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
$187$	3.47485	−	0.248527i	0.254107	−	0.0181741i
$188$	−9.51479	+	2.06982i	−0.693937	+	0.150957i
$189$	−3.27860	+	22.8031i	−0.238483	+	1.65868i
$190$	−0.887112	−	1.53163i	−0.0643579	−	0.111116i
$191$	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	$0.166933\pi$
$192$	0.0991931	−	1.38690i	0.00715865	−	0.100091i
$193$	17.2145	+	12.8866i	1.23913	+	0.927597i	0.999068	−	0.0431614i	$-0.0137430\pi$
$193$	17.2145	+	12.8866i	1.23913	+	0.927597i	0.240057	+	0.970759i	$0.422834\pi$
$194$	0.689790	−	1.51043i	0.0495240	−	0.108442i
$195$	−4.54177	+	7.47449i	−0.325243	+	0.535260i
$196$	−9.21054	+	2.70446i	−0.657895	+	0.193176i
$197$	−24.5043	+	9.13962i	−1.74586	+	0.651171i	−0.999890	−	0.0148135i	$-0.995285\pi$
$197$	−24.5043	+	9.13962i	−1.74586	+	0.651171i	−0.745966	+	0.665984i	$0.768012\pi$
$198$	−0.655735	+	0.875960i	−0.0466011	+	0.0622518i
$199$	1.40634	+	1.62301i	0.0996930	+	0.115052i	0.803404	−	0.595435i	$-0.203020\pi$
$199$	1.40634	+	1.62301i	0.0996930	+	0.115052i	−0.703711	+	0.710487i	$0.748475\pi$
$200$	2.17227	−	4.50347i	0.153603	−	0.318443i
$201$	−6.06963	−	9.44453i	−0.428119	−	0.666165i
$202$	−0.177728	+	0.133045i	−0.0125049	+	0.00936105i
$203$	−2.65530	−	12.2062i	−0.186366	−	0.856709i
$204$	−3.09225	+	3.56865i	−0.216501	+	0.249856i
$205$	−10.7942	−	22.1428i	−0.753900	−	1.54652i
$206$		−	5.50896i		−	0.383828i
$207$	−4.86685	−	1.57565i	−0.338269	−	0.109515i
$208$	−1.98914	+	1.98914i	−0.137922	+	0.137922i
$209$	0.228767	−	0.779109i	0.0158241	−	0.0538921i
$210$	8.72875	−	9.17984i	0.602341	−	0.633469i
$211$	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	$0.570254\pi$
$212$	2.17537	+	2.90596i	0.149405	+	0.199582i
$213$	−3.81809	+	17.5515i	−0.261611	+	1.20261i
$214$	4.86208	+	10.6465i	0.332365	+	0.727778i
$215$	16.5386	−	13.0432i	1.12792	−	0.889537i
$216$	−0.804715	−	5.59692i	−0.0547539	−	0.380822i
$217$	−5.29615	−	14.1995i	−0.359526	−	0.963927i
$218$	9.65010	+	5.26936i	0.653587	+	0.356886i
$219$	−2.35734	−	8.02835i	−0.159294	−	0.542505i
$220$	2.18392	−	0.701455i	0.147240	−	0.0472921i
$221$	9.45606	−	1.35958i	0.636083	−	0.0914550i
$222$	−10.4492	−	0.747345i	−0.701308	−	0.0501585i
$223$	6.56812	+	2.44978i	0.439834	+	0.164049i	0.559618	−	0.828750i	$-0.310948\pi$
$223$	6.56812	+	2.44978i	0.439834	+	0.164049i	−0.119785	+	0.992800i	$0.538220\pi$
$224$	3.42746	−	2.20270i	0.229007	−	0.147174i
$225$	1.24304	−	5.18645i	0.0828691	−	0.345764i
$226$	3.95766	−	6.15823i	0.263259	−	0.409640i
$227$	0.416698	+	5.82619i	0.0276572	+	0.386698i	0.992362	+	0.123363i	$0.0393679\pi$
$227$	0.416698	+	5.82619i	0.0276572	+	0.386698i	−0.964704	+	0.263335i	$0.915178\pi$
$228$	0.527472	+	0.965992i	0.0349327	+	0.0639744i
$229$	−1.11084			−0.0734062			−0.0367031	−	0.999326i	$-0.511686\pi$
$229$	−1.11084			−0.0734062			−0.0367031	+	0.999326i	$0.511686\pi$
$230$	6.40660	+	8.59973i	0.422439	+	0.567050i
$231$	5.81127			0.382353
$232$	1.46939	+	2.69098i	0.0964701	+	0.176672i
$233$	−1.01927	−	14.2513i	−0.0667749	−	0.933635i	−0.914859	−	0.403774i	$-0.867698\pi$
$233$	−1.01927	−	14.2513i	−0.0667749	−	0.933635i	0.848084	−	0.529862i	$-0.177756\pi$
$234$	−1.62225	+	2.52427i	−0.106050	+	0.165017i
$235$	21.3855	+	4.09105i	1.39504	+	0.266870i
$236$	−9.03694	+	5.80769i	−0.588255	+	0.378048i
$237$	−1.44435	−	0.538714i	−0.0938205	−	0.0349932i
$238$	−13.8010	−	0.987068i	−0.894587	−	0.0639821i
$239$	−2.28684	+	0.328799i	−0.147924	+	0.0212682i	−0.215879	−	0.976420i	$-0.569262\pi$
$239$	−2.28684	+	0.328799i	−0.147924	+	0.0212682i	0.0679551	+	0.997688i	$0.478353\pi$
$240$	−1.42086	+	2.76547i	−0.0917161	+	0.178510i
$241$	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	$0.845749\pi$
$242$	−8.73088	−	4.76742i	−0.561242	−	0.306461i
$243$	−3.66268	−	9.82003i	−0.234961	−	0.629956i
$244$	−0.478401	−	3.32735i	−0.0306265	−	0.213012i
$245$	21.3166	+	2.51880i	1.36187	+	0.160920i
$246$	6.36327	+	13.9336i	0.405707	+	0.888375i
$247$	0.473323	−	2.17583i	0.0301168	−	0.138445i
$248$	2.22915	+	2.97780i	0.141551	+	0.189091i
$249$	9.68680	+	6.22533i	0.613876	+	0.394514i
$250$	−8.41908	+	7.35657i	−0.532469	+	0.465270i
$251$	−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
$253$	−0.833789	+	4.84850i	−0.0524199	+	0.304822i
$254$			19.9995i			1.25488i
$255$	9.49105	−	4.62671i	0.594353	−	0.289736i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−4.49085	−	20.6441i	−0.280132	−	1.28774i	−0.875079	−	0.483980i	$-0.839191\pi$
$257$	−4.49085	−	20.6441i	−0.280132	−	1.28774i	0.594947	−	0.803765i	$-0.297173\pi$
$258$	−10.4851	+	7.84904i	−0.652773	+	0.488660i
$259$	−16.5957	−	25.8233i	−1.03120	−	1.60458i
$260$	5.83639	−	2.34591i	0.361958	−	0.145487i
$261$	2.14167	+	2.47162i	0.132566	+	0.152990i
$262$	4.96438	−	6.63164i	0.306701	−	0.409704i
$263$	−0.441902	+	0.164821i	−0.0272488	+	0.0101633i	−0.363052	−	0.931769i	$-0.618265\pi$
$263$	−0.441902	+	0.164821i	−0.0272488	+	0.0101633i	0.335803	+	0.941932i	$0.390992\pi$
$264$	−1.36857	+	0.401848i	−0.0842296	+	0.0247321i
$265$	−1.92454	−	7.88544i	−0.118224	−	0.484399i
$266$	−1.33972	+	2.93357i	−0.0821432	+	0.179869i
$267$	9.77254	+	7.31563i	0.598070	+	0.447709i
$268$	−0.576007	+	8.05363i	−0.0351852	+	0.491954i
$269$	−6.81159	+	3.11075i	−0.415310	+	0.189666i	−0.612101	−	0.790780i	$-0.709675\pi$
$269$	−6.81159	+	3.11075i	−0.415310	+	0.189666i	0.196791	+	0.980445i	$0.436948\pi$
$270$	−3.25555	+	12.2175i	−0.198127	+	0.743532i
$271$	−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	$0.0664573\pi$
$272$	3.31843	−	0.721880i	0.201209	−	0.0437704i
$273$	15.8954	−	1.13686i	0.962034	−	0.0688060i
$274$	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	$-0.687494\pi$
$278$	−10.7374	+	5.86306i	−0.643986	+	0.351643i
$279$	2.99860	+	2.59830i	0.179521	+	0.155556i
$280$	−8.98203	+	1.52318i	−0.536779	+	0.0910275i
$281$	−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	$0.674880\pi$
$282$	−13.2298	−	2.87796i	−0.787822	−	0.171380i
$283$	−10.1233	+	27.1415i	−0.601766	+	1.61340i	0.175679	+	0.984447i	$0.443788\pi$
$283$	−10.1233	+	27.1415i	−0.601766	+	1.61340i	−0.777446	+	0.628950i	$0.783485\pi$
$284$	9.76288	−	8.45959i	0.579321	−	0.501984i
$285$	−0.237328	−	2.44959i	−0.0140581	−	0.145101i
$286$	2.62493	+	1.19877i	0.155215	+	0.0708845i
$287$	−21.5106	+	39.3936i	−1.26973	+	2.32533i
$288$	−0.511199	+	0.936191i	−0.0301227	+	0.0551656i
$289$	4.97287	+	2.27104i	0.292522	+	0.133590i
$290$	−0.661129	−	6.82388i	−0.0388228	−	0.400712i
$291$	1.74488	−	1.51195i	0.102287	−	0.0886319i
$292$	−2.10297	+	5.63829i	−0.123067	+	0.329956i
$293$	−21.2011	−	4.61201i	−1.23858	−	0.269436i	−0.454866	−	0.890560i	$-0.650313\pi$
$293$	−21.2011	−	4.61201i	−1.23858	−	0.269436i	−0.783713	+	0.621123i	$0.786677\pi$
$294$	−13.2115	−	1.89953i	−0.770512	−	0.110783i
$295$	23.6823	−	4.01606i	1.37883	−	0.233824i
$296$	5.69400	+	4.93388i	0.330957	+	0.286776i
$297$	−5.09096	+	2.77987i	−0.295407	+	0.161305i
$298$	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
$302$	−5.18659	+	0.370952i	−0.298455	+	0.0213459i
$303$	−0.301637	+	0.0656172i	−0.0173286	+	0.00376961i
$304$	0.112651	−	0.783504i	0.00646097	−	0.0449371i
$305$	−1.93542	+	7.26325i	−0.110822	+	0.415893i
$306$	3.29509	−	1.50482i	0.188368	−	0.0860247i
$307$	−1.14617	+	16.0256i	−0.0654155	+	0.914628i	0.853732	+	0.520713i	$0.174334\pi$
$307$	−1.14617	+	16.0256i	−0.0654155	+	0.914628i	−0.919147	+	0.393915i	$0.871121\pi$
$308$	−3.34581	−	2.50464i	−0.190645	−	0.142715i
$309$	3.18204	−	6.96769i	0.181020	−	0.396378i
$310$	−1.97212	−	8.08040i	−0.112009	−	0.458936i
$311$	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	$0.344234\pi$
$312$	−3.66480	+	1.36690i	−0.207478	+	0.0773854i
$313$	15.6496	−	20.9054i	0.884569	−	1.18165i	−0.0978957	−	0.995197i	$-0.531211\pi$
$313$	15.6496	−	20.9054i	0.884569	−	1.18165i	0.982465	−	0.186449i	$-0.0596979\pi$
$314$	−12.4816	−	14.4045i	−0.704376	−	0.812893i
$315$	−9.01652	+	3.62415i	−0.508023	+	0.204198i
$316$	0.599392	+	0.932672i	0.0337184	+	0.0524669i
$317$	18.4044	−	13.7773i	1.03369	−	0.773812i	0.0592025	−	0.998246i	$-0.481144\pi$
$317$	18.4044	−	13.7773i	1.03369	−	0.773812i	0.974489	+	0.224434i	$0.0720533\pi$
$318$	1.07288	+	4.93195i	0.0601641	+	0.276570i
$319$	2.05966	−	2.37698i	0.115319	−	0.133085i
$320$	2.00996	−	0.979819i	0.112360	−	0.0547735i
$321$			16.2740i			0.908325i
$322$	6.01834	−	18.5894i	0.335389	−	1.03595i
$323$	−1.90083	+	1.90083i	−0.105765	+	0.105765i
$324$	1.31350	−	4.47337i	0.0729722	−	0.248521i
$325$	−14.0622	−	0.295818i	−0.780032	−	0.0164090i
$326$	12.0736	+	7.75923i	0.668695	+	0.429744i
$327$	9.16173	+	12.2386i	0.506645	+	0.676799i
$328$	2.34173	−	10.7648i	0.129300	−	0.594385i
$329$	−16.4804	−	36.0870i	−0.908593	−	1.98954i
$330$	3.16737	+	0.374262i	0.174358	+	0.0206025i
$331$	−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	$-0.357638\pi$
$332$	−2.89403	−	7.75919i	−0.158831	−	0.425841i
$333$	7.05349	+	3.85150i	0.386529	+	0.211061i
$334$	−3.33488	−	11.3576i	−0.182477	−	0.621459i
$335$	8.25083	−	16.0589i	0.450791	−	0.877391i
$336$	5.60733	−	0.806212i	0.305905	−	0.0439825i
$337$	17.1426	+	1.22606i	0.933817	+	0.0667879i	0.529949	−	0.848029i	$-0.322211\pi$
$337$	17.1426	+	1.22606i	0.933817	+	0.0667879i	0.403868	+	0.914817i	$0.367666\pi$
$338$	−4.76593	−	1.77760i	−0.259232	−	0.0966887i
$339$	8.56267	−	5.50290i	0.465061	−	0.298876i
$340$	−7.45853	−	1.42682i	−0.404496	−	0.0773799i
$341$	2.06297	−	3.21004i	0.111716	−	0.173833i
$342$	−0.0602340	−	0.842181i	−0.00325708	−	0.0455399i
$343$	−5.07547	−	9.29503i	−0.274050	−	0.501885i
$344$	9.41965			0.507874
$345$	3.13572	+	14.5774i	0.168821	+	0.784821i
$346$	13.5600			0.728989
$347$	6.89875	+	12.6341i	0.370344	+	0.678235i	0.994690	−	0.102913i	$-0.0328163\pi$
$347$	6.89875	+	12.6341i	0.370344	+	0.678235i	−0.624346	+	0.781148i	$0.714634\pi$
$348$	0.304128	+	4.25227i	0.0163030	+	0.227946i
$349$	−9.89283	+	15.3935i	−0.529551	+	0.823998i	−0.998236	−	0.0593678i	$-0.981092\pi$
$349$	−9.89283	+	15.3935i	−0.529551	+	0.823998i	0.468685	+	0.883365i	$0.344728\pi$
$350$	19.8101	+	4.74789i	1.05890	+	0.253786i
$351$	−13.3813	+	8.59966i	−0.714242	+	0.459016i
$352$	0.961143	+	0.358488i	0.0512291	+	0.0191075i
$353$	23.8113	+	1.70302i	1.26735	+	0.0906426i	0.688768	−	0.724982i	$-0.258152\pi$
$353$	23.8113	+	1.70302i	1.26735	+	0.0906426i	0.578581	+	0.815625i	$0.303607\pi$
$354$	−14.7844	+	2.12568i	−0.785784	+	0.112979i
$355$	−27.5021	+	8.83340i	−1.45966	+	0.468828i
$356$	−2.47347	−	8.42388i	−0.131094	−	0.446465i
$357$	−16.8853	−	9.22005i	−0.893663	−	0.487977i
$358$	−5.78975	−	15.5229i	−0.305998	−	0.820412i
$359$	−3.48554	−	24.2424i	−0.183960	−	1.27947i	−0.847286	−	0.531137i	$-0.821765\pi$
$359$	−3.48554	−	24.2424i	−0.183960	−	1.27947i	0.663327	−	0.748330i	$-0.269144\pi$
$360$	1.87280	−	1.47699i	0.0987055	−	0.0778441i
$361$	−7.63260	−	16.7131i	−0.401716	−	0.879635i
$362$	−1.11654	+	5.13267i	−0.0586842	+	0.269767i
$363$	−8.28903	−	11.0728i	−0.435061	−	0.581174i
$364$	−9.64169	−	6.19634i	−0.505362	−	0.324776i
$365$	9.27222	−	9.75140i	0.485330	−	0.510412i
$366$	1.31684	−	4.48474i	0.0688322	−	0.234421i
$367$	−15.8158	+	15.8158i	−0.825579	+	0.825579i	−0.986902	−	0.161322i	$-0.948424\pi$
$367$	−15.8158	+	15.8158i	−0.825579	+	0.825579i	0.161322	+	0.986902i	$0.448424\pi$
$368$	−0.131884	+	4.79402i	−0.00687491	+	0.249905i
$369$		−	11.7510i		−	0.611731i
$370$	−7.38220	−	15.1436i	−0.383782	−	0.787276i
$371$	−9.68501	+	11.1771i	−0.502821	+	0.580286i
$372$	1.09940	+	5.05388i	0.0570015	+	0.262032i
$373$	1.27895	−	0.957411i	0.0662216	−	0.0495729i	−0.565654	−	0.824643i	$-0.691376\pi$
$373$	1.27895	−	0.957411i	0.0662216	−	0.0495729i	0.631876	+	0.775070i	$0.282285\pi$
$374$	−1.88345	−	2.93070i	−0.0973907	−	0.151543i
$375$	−14.8976	+	4.44157i	−0.769310	+	0.229362i
$376$	6.37659	+	7.35897i	0.328847	+	0.379510i
$377$	5.16873	−	6.90461i	0.266203	−	0.355606i
$378$	21.5851	−	8.05083i	1.11022	−	0.414090i
$379$	0.711330	−	0.208865i	0.0365385	−	0.0107287i	−0.263412	−	0.964683i	$-0.584848\pi$
$379$	0.711330	−	0.208865i	0.0365385	−	0.0107287i	0.299951	+	0.953955i	$0.403030\pi$
$380$	−0.919129	+	1.51263i	−0.0471503	+	0.0775963i
$381$	−11.5520	+	25.2953i	−0.591825	+	1.29591i
$382$	−12.8201	−	9.59699i	−0.655932	−	0.491025i
$383$	−0.816349	+	11.4141i	−0.0417135	+	0.583231i	0.933015	+	0.359838i	$0.117168\pi$
$383$	−0.816349	+	11.4141i	−0.0417135	+	0.583231i	−0.974728	+	0.223393i	$0.928287\pi$
$384$	−1.26479	+	0.577611i	−0.0645436	+	0.0294761i
$385$	4.68394	+	8.08697i	0.238716	+	0.412150i
$386$	3.06027	−	21.2847i	0.155764	−	1.08336i
$387$	9.81801	−	2.13578i	0.499078	−	0.108568i
$388$	−1.65625	+	0.118457i	−0.0840835	+	0.00601377i
$389$	25.5010	+	7.48778i	1.29295	+	0.379645i	0.854661	−	0.519187i	$-0.173765\pi$
$389$	25.5010	+	7.48778i	1.29295	+	0.379645i	0.438292	+	0.898832i	$0.355583\pi$
$390$	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
$393$	10.1094	−	5.52016i	0.509953	−	0.278455i
$394$	19.7653	+	17.1267i	0.995761	+	0.862832i
$395$	−0.414484	−	2.44417i	−0.0208550	−	0.122979i
$396$	1.08307	+	0.155722i	0.0544264	+	0.00782534i
$397$	−5.28681	−	1.15007i	−0.265337	−	0.0577206i	0.0779283	−	0.996959i	$-0.475169\pi$
$397$	−5.28681	−	1.15007i	−0.265337	−	0.0577206i	−0.343266	+	0.939238i	$0.611533\pi$
$398$	0.750490	−	2.01214i	0.0376187	−	0.100860i
$399$	−3.38892	+	2.93652i	−0.169658	+	0.147010i
$400$	−4.99366	+	0.251726i	−0.249683	+	0.0125863i
$401$	−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	$0.848303\pi$
$402$	−5.38040	+	9.85346i	−0.268350	+	0.491446i
$403$	5.01480	−	9.18392i	0.249805	−	0.457483i
$404$	0.201947	+	0.0922262i	0.0100472	+	0.00458842i
$405$	−6.62640	+	8.04813i	−0.329268	+	0.399915i
$406$	−9.44059	+	8.18032i	−0.468529	+	0.405982i
$407$	2.70093	−	7.24149i	0.133880	−	0.358947i
$408$	4.61409	+	1.00373i	0.228432	+	0.0496922i
$409$	13.3095	+	1.91361i	0.658110	+	0.0946220i	0.463276	−	0.886214i	$-0.346674\pi$
$409$	13.3095	+	1.91361i	0.658110	+	0.0946220i	0.194834	+	0.980836i	$0.437583\pi$
$410$	−14.2612	+	20.0858i	−0.704309	+	0.991965i
$411$	23.0099	+	19.9382i	1.13499	+	0.983478i
$412$	−4.83510	+	2.64017i	−0.238208	+	0.130072i
$413$	−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
$417$	−16.9671	+	1.21351i	−0.830884	+	0.0594260i
$418$	−0.793444	+	0.172603i	−0.0388086	+	0.00844229i
$419$	0.706224	−	4.91189i	0.0345013	−	0.239962i	−0.965272	−	0.261246i	$-0.915867\pi$
$419$	0.706224	−	4.91189i	0.0345013	−	0.239962i	0.999773	+	0.0212846i	$0.00677561\pi$
$420$	−12.2402	−	3.26161i	−0.597261	−	0.159150i
$421$	−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	$0.464253\pi$
$422$	0.711613	−	9.94966i	0.0346408	−	0.484342i
$423$	8.31480	+	6.22438i	0.404279	+	0.302640i
$424$	1.50795	−	3.30195i	0.0732326	−	0.160357i
$425$	14.0884	+	9.47859i	0.683389	+	0.459779i
$426$	17.2344	−	5.06047i	0.835008	−	0.245180i
$427$	12.8323	−	4.78620i	0.620998	−	0.231620i
$428$	7.01404	−	9.36966i	0.339036	−	0.452900i
$429$	2.62757	+	3.03238i	0.126860	+	0.146405i
$430$	−19.3738	−	8.26466i	−0.934289	−	0.398557i
$431$	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	$0.696343\pi$
$432$	−4.52664	+	3.38860i	−0.217788	+	0.163034i
$433$	5.91904	+	27.2094i	0.284451	+	1.30760i	0.868423	+	0.495825i	$0.165134\pi$
$433$	5.91904	+	27.2094i	0.284451	+	1.30760i	−0.583972	+	0.811774i	$0.698502\pi$
$434$	−9.92446	+	11.4534i	−0.476389	+	0.549782i
$435$	3.10536	−	9.01267i	0.148891	−	0.432124i
$436$		−	10.9950i		−	0.526566i
$437$	−1.96378	−	3.24879i	−0.0939403	−	0.155411i
$438$	−5.91656	+	5.91656i	−0.282704	+	0.282704i
$439$	−4.83218	+	16.4569i	−0.230627	+	0.785445i	0.760127	+	0.649775i	$0.225137\pi$
$439$	−4.83218	+	16.4569i	−0.230627	+	0.785445i	−0.990754	+	0.135670i	$0.956681\pi$
$440$	−1.66229	−	1.58061i	−0.0792467	−	0.0753526i
$441$	8.61388	+	5.53580i	0.410185	+	0.263610i
$442$	−5.72508	−	7.64781i	−0.272314	−	0.363769i
$443$	−5.65803	+	26.0096i	−0.268821	+	1.23575i	0.622587	+	0.782550i	$0.286082\pi$
$443$	−5.65803	+	26.0096i	−0.268821	+	1.23575i	−0.891408	+	0.453201i	$0.850282\pi$
$444$	4.35186	+	9.52925i	0.206530	+	0.452238i
$445$	−2.30368	+	19.4959i	−0.109205	+	0.924197i
$446$	−0.997642	−	6.93875i	−0.0472397	−	0.328560i
$447$	8.28093	+	22.2020i	0.391675	+	1.05012i
$448$	−3.57587	−	1.95257i	−0.168944	−	0.0922504i
$449$	3.04421	+	10.3676i	0.143665	+	0.489279i	0.999614	−	0.0277818i	$-0.00884437\pi$
$449$	3.04421	+	10.3676i	0.143665	+	0.489279i	−0.855949	+	0.517061i	$0.827026\pi$
$450$	−5.14777	+	1.39462i	−0.242668	+	0.0657428i
$451$	−11.1860	+	1.60830i	−0.526726	+	0.0757318i
$452$	−7.30165	−	0.522225i	−0.343441	−	0.0245634i
$453$	−6.77422	−	2.52666i	−0.318281	−	0.118713i
$454$	4.91383	−	3.15792i	0.230617	−	0.148209i
$455$	14.3939	+	21.2037i	0.674797	+	0.994047i
$456$	0.595041	−	0.925902i	0.0278653	−	0.0433593i
$457$	0.121853	+	1.70372i	0.00570003	+	0.0796968i	0.999506	−	0.0314338i	$-0.0100073\pi$
$457$	0.121853	+	1.70372i	0.00570003	+	0.0796968i	−0.993806	+	0.111131i	$0.964553\pi$
$458$	0.532368	+	0.974959i	0.0248759	+	0.0455568i
$459$	19.2028			0.896310
$460$	4.47745	−	9.74436i	0.208762	−	0.454333i
$461$	−10.8674			−0.506147			−0.253074	−	0.967447i	$-0.581441\pi$
$461$	−10.8674			−0.506147			−0.253074	+	0.967447i	$0.581441\pi$
$462$	−2.78504	−	5.10043i	−0.129572	−	0.237293i
$463$	−1.00116	−	13.9981i	−0.0465280	−	0.650547i	−0.966189	−	0.257834i	$-0.916991\pi$
$463$	−1.00116	−	13.9981i	−0.0465280	−	0.650547i	0.919661	−	0.392713i	$-0.128463\pi$
$464$	1.65762	−	2.57930i	0.0769529	−	0.119741i
$465$	2.17300	−	11.3591i	0.100771	−	0.526768i
$466$	−12.0196	+	7.72453i	−0.556797	+	0.357832i
$467$	14.4463	+	5.38818i	0.668494	+	0.249335i	0.660718	−	0.750635i	$-0.270252\pi$
$467$	14.4463	+	5.38818i	0.668494	+	0.249335i	0.00777596	+	0.999970i	$0.497525\pi$
$468$	2.99296	+	0.214061i	0.138350	+	0.00989497i
$469$	−32.5614	+	4.68162i	−1.50354	+	0.216177i
$470$	−6.65836	−	20.7302i	−0.307127	−	0.956215i
$471$	−7.46639	−	25.4282i	−0.344033	−	1.17167i
$472$	9.42823	+	5.14821i	0.433970	+	0.236965i
$473$	−3.37683	−	9.05364i	−0.155267	−	0.416287i
$474$	0.219384	+	1.52585i	0.0100767	+	0.0700847i
$475$	3.21757	−	2.30466i	0.147632	−	0.105745i
$476$	5.74779	+	12.5859i	0.263450	+	0.576874i
$477$	0.823050	−	3.78350i	0.0376849	−	0.173235i
$478$	1.38455	+	1.84954i	0.0633277	+	0.0845959i
$479$	14.1802	+	9.11308i	0.647911	+	0.416387i	0.822902	−	0.568183i	$-0.192353\pi$
$479$	14.1802	+	9.11308i	0.647911	+	0.416387i	−0.174991	+	0.984570i	$0.555990\pi$
$480$	3.10814	−	0.0782898i	0.141867	−	0.00357342i
$481$	5.97114	−	20.3358i	0.272260	−	0.927234i
$482$	4.34003	−	4.34003i	0.197683	−	0.197683i
$483$	18.3494	−	20.0354i	0.834926	−	0.911644i
$484$			9.94769i			0.452168i
$485$	3.51042	+	1.20953i	0.159400	+	0.0549221i
$486$	−6.86350	+	7.92090i	−0.311335	+	0.359299i
$487$	2.88182	+	13.2475i	0.130588	+	0.600302i	0.995200	+	0.0978622i	$0.0312004\pi$
$487$	2.88182	+	13.2475i	0.130588	+	0.600302i	−0.864612	+	0.502440i	$0.832436\pi$
$488$	−2.69107	+	2.01451i	−0.121819	+	0.0911927i
$489$	10.7888	+	16.7877i	0.487885	+	0.759164i
$490$	−8.00524	−	19.9162i	−0.361640	−	0.899724i
$491$	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	$0.737228\pi$
$492$	9.17965	−	12.2626i	0.413851	−	0.552840i
$493$	−9.75584	+	3.63874i	−0.439381	+	0.163881i
$494$	−2.13652	+	0.627339i	−0.0961265	+	0.0282253i
$495$	−2.09097	−	1.27055i	−0.0939823	−	0.0571070i
$496$	1.54523	−	3.38359i	0.0693830	−	0.151928i
$497$	42.1337	+	31.5409i	1.88996	+	1.41480i
$498$	0.821451	−	11.4854i	0.0368101	−	0.514673i
$499$	−25.8072	+	11.7858i	−1.15529	+	0.527603i	−0.898547	−	0.438877i	$-0.855376\pi$
$499$	−25.8072	+	11.7858i	−1.15529	+	0.527603i	−0.256742	+	0.966480i	$0.582649\pi$
$500$	10.4915	+	3.86362i	0.469196	+	0.172786i
$501$	2.34233	−	16.2912i	0.104647	−	0.727839i
$502$	13.5031	−	2.93742i	0.602674	−	0.131104i
$503$	−0.454073	+	0.0324759i	−0.0202461	+	0.00144803i	−0.0814586	−	0.996677i	$-0.525958\pi$
$503$	−0.454073	+	0.0324759i	−0.0202461	+	0.00144803i	0.0612125	+	0.998125i	$0.480503\pi$
$504$	−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
$508$	17.5532	−	9.58476i	0.778796	−	0.425255i
$509$	−9.93188	−	8.60602i	−0.440223	−	0.381455i	0.406359	−	0.913713i	$-0.366798\pi$
$509$	−9.93188	−	8.60602i	−0.440223	−	0.381455i	−0.846582	+	0.532258i	$0.821344\pi$
$510$	−8.60934	−	6.11275i	−0.381228	−	0.270677i
$511$	−24.2680	−	3.48921i	−1.07355	−	0.154354i
$512$	0.977147	+	0.212565i	0.0431842	+	0.00939415i
$513$	1.56415	−	4.19366i	0.0690590	−	0.185154i
$514$	−15.9667	+	13.8352i	−0.704260	+	0.610244i
$515$	12.2610	−	1.18790i	0.540285	−	0.0523452i
$516$	11.9139	+	5.44090i	0.524480	+	0.239522i
$517$	4.78710	−	8.76691i	0.210536	−	0.385568i
$518$	−14.7112	+	26.9415i	−0.646371	+	1.18374i
$519$	17.1506	+	7.83240i	0.752826	+	0.343804i
$520$	−4.85604	−	3.99820i	−0.212952	−	0.175333i
$521$	−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	$0.967952\pi$
$522$	1.14290	−	3.06422i	0.0500232	−	0.134117i
$523$	23.8309	+	5.18409i	1.04205	+	0.226685i	0.700853	−	0.713306i	$-0.252803\pi$
$523$	23.8309	+	5.18409i	1.04205	+	0.226685i	0.341200	+	0.939991i	$0.389167\pi$
$524$	−8.19963	−	1.17893i	−0.358202	−	0.0515017i
$525$	22.3133	+	17.4477i	0.973831	+	0.761478i
$526$	0.356441	+	0.308858i	0.0155416	+	0.0134668i
$527$	−11.0872	+	6.05405i	−0.482964	+	0.263719i
$528$	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
$532$	3.21679	−	0.230069i	0.139465	−	0.00997477i
$533$	−30.2820	+	6.58745i	−1.31166	+	0.285334i
$534$	1.73730	−	12.0832i	0.0751801	−	0.522889i
$535$	−22.6469	+	13.1170i	−0.979110	+	0.567097i
$536$	7.34456	−	3.35415i	0.317237	−	0.144877i
$537$	1.64338	−	22.9775i	0.0709172	−	0.991552i
$538$	5.99468	+	4.48756i	0.258449	+	0.193473i
$539$	4.09069	−	8.95737i	0.176199	−	0.385821i
$540$	12.2832	−	2.99788i	0.528586	−	0.129008i
$541$	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	$0.362885\pi$
$542$	2.03396	−	0.758627i	0.0873659	−	0.0325858i
$543$	−4.37688	+	5.84683i	−0.187830	+	0.250911i
$544$	−2.22393	−	2.56656i	−0.0953504	−	0.110040i
$545$	−9.64686	+	22.6140i	−0.413226	+	0.968675i
$546$	−8.61566	−	13.4062i	−0.368716	−	0.573733i
$547$	36.9076	−	27.6287i	1.57806	−	1.18132i	0.687758	−	0.725940i	$-0.258595\pi$
$547$	36.9076	−	27.6287i	1.57806	−	1.18132i	0.890298	−	0.455378i	$-0.150496\pi$
$548$	−4.65453	−	21.3965i	−0.198832	−	0.914014i
$549$	−2.34812	+	2.70987i	−0.100215	+	0.115654i
$550$	2.03211	+	4.70938i	0.0866495	+	0.200809i
$551$			2.42694i			0.103391i
$552$	−2.93588	+	5.98726i	−0.124959	+	0.254835i
$553$	−3.19399	+	3.19399i	−0.135822	+	0.135822i
$554$	−9.19770	+	31.3245i	−0.390773	+	1.33085i
$555$	−0.589854	−	23.4175i	−0.0250379	−	0.994017i
$556$	10.2918	+	6.61412i	0.436468	+	0.280501i
$557$	5.53426	+	7.39291i	0.234494	+	0.313248i	0.902317	−	0.431072i	$-0.141865\pi$
$557$	5.53426	+	7.39291i	0.234494	+	0.313248i	−0.667823	+	0.744320i	$0.732774\pi$
$558$	0.843399	−	3.87704i	0.0357039	−	0.164128i
$559$	−11.0077	−	24.1036i	−0.465577	−	1.01947i
$560$	5.64149	+	7.15335i	0.238397	+	0.302284i
$561$	−0.689363	−	4.79463i	−0.0291049	−	0.202429i
$562$	4.63363	+	12.4232i	0.195458	+	0.524043i
$563$	11.2260	+	6.12987i	0.473121	+	0.258343i	0.698073	−	0.716026i	$-0.254041\pi$
$563$	11.2260	+	6.12987i	0.473121	+	0.258343i	−0.224953	+	0.974370i	$0.572223\pi$
$564$	3.81443	+	12.9908i	0.160617	+	0.547010i
$565$	14.5594	+	7.48044i	0.612520	+	0.314704i
$566$	28.6731	−	4.12257i	1.20522	−	0.173285i
$567$	18.9466	+	1.35509i	0.795682	+	0.0569083i
$568$	−12.1037	−	4.51443i	−0.507858	−	0.189421i
$569$	14.6390	−	9.40789i	0.613697	−	0.394399i	−0.196545	−	0.980495i	$-0.562972\pi$
$569$	14.6390	−	9.40789i	0.613697	−	0.394399i	0.810242	+	0.586096i	$0.199336\pi$
$570$	−2.03622	+	1.38226i	−0.0852878	+	0.0578966i
$571$	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	$0.116363\pi$
$572$	−0.205864	−	2.87835i	−0.00860760	−	0.120350i
$573$	−10.6714	−	19.5432i	−0.445804	−	0.816429i
$574$	44.8839			1.87342
$575$	−17.7585	+	16.1132i	−0.740581	+	0.671967i
$576$	1.06667			0.0444444
$577$	−5.86391	−	10.7389i	−0.244118	−	0.447068i	0.726677	−	0.686979i	$-0.241064\pi$
$577$	−5.86391	−	10.7389i	−0.244118	−	0.447068i	−0.970795	+	0.239911i	$0.922882\pi$
$578$	−0.390005	−	5.45298i	−0.0162221	−	0.226814i
$579$	16.1649	−	25.1530i	0.671789	−	1.04532i
$580$	−5.67233	+	3.85060i	−0.235531	+	0.159887i
$581$	28.3840	−	18.2413i	1.17757	−	0.756775i
$582$	−2.16324	−	0.806846i	−0.0896691	−	0.0334448i
$583$	−3.71423	−	0.265647i	−0.153828	−	0.0110020i
$584$	5.95645	−	0.856409i	0.246480	−	0.0354385i
$585$	−5.96794	−	3.06625i	−0.246744	−	0.126774i
$586$	6.11273	+	20.8180i	0.252514	+	0.859985i
$587$	2.18166	+	1.19128i	0.0900467	+	0.0491692i	0.523641	−	0.851939i	$-0.324573\pi$
$587$	2.18166	+	1.19128i	0.0900467	+	0.0491692i	−0.433595	+	0.901108i	$0.642755\pi$
$588$	4.66444	+	12.5058i	0.192358	+	0.515732i
$589$	0.419031	+	2.91443i	0.0172659	+	0.120087i
$590$	−14.8745	−	18.8607i	−0.612374	−	0.776484i
$591$	15.1064	+	33.0784i	0.621394	+	1.36066i
$592$	1.60152	−	7.36206i	0.0658220	−	0.302579i
$593$	5.91314	+	7.89903i	0.242823	+	0.324374i	0.905352	−	0.424663i	$-0.139607\pi$
$593$	5.91314	+	7.89903i	0.242823	+	0.324374i	−0.662528	+	0.749037i	$0.730516\pi$
$594$	4.87967	+	3.13597i	0.200215	+	0.128671i
$595$	−0.779059	−	30.9290i	−0.0319383	−	1.26797i
$596$	4.80132	−	16.3518i	0.196670	−	0.669795i
$597$	2.11145	−	2.11145i	0.0864159	−	0.0864159i
$598$	12.4213	−	5.26477i	0.507946	−	0.215293i
$599$		−	6.80936i		−	0.278223i	−0.990277	−	0.139112i	$-0.955575\pi$
$599$		−	6.80936i		−	0.278223i	0.990277	−	0.139112i	$-0.0444247\pi$
$600$	−6.46134	−	2.56601i	−0.263783	−	0.104757i
$601$	−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	$0.968261\pi$
$602$	8.15780	+	37.5008i	0.332487	+	1.52842i
$603$	6.89465	−	5.16127i	0.280772	−	0.210183i
$604$	2.81125	+	4.37438i	0.114388	+	0.177991i
$605$	8.72795	−	20.4599i	0.354842	−	0.831811i
$606$	0.202150	+	0.233294i	0.00821179	+	0.00947692i
$607$	4.31275	−	5.76116i	0.175049	−	0.233838i	−0.704433	−	0.709771i	$-0.748798\pi$
$607$	4.31275	−	5.76116i	0.175049	−	0.233838i	0.879482	+	0.475933i	$0.157889\pi$
$608$	−0.741653	+	0.276622i	−0.0300780	+	0.0112185i
$609$	−16.6654	+	4.89341i	−0.675317	+	0.198291i
$610$	7.30235	−	1.78223i	0.295664	−	0.0721604i
$611$	11.3789	−	24.9164i	0.460343	−	1.00801i
$612$	−2.89992	−	2.17085i	−0.117222	−	0.0877514i
$613$	1.18132	−	16.5170i	0.0477131	−	0.667116i	−0.916170	−	0.400790i	$-0.868736\pi$
$613$	1.18132	−	16.5170i	0.0477131	−	0.667116i	0.963883	−	0.266326i	$-0.0858098\pi$
$614$	14.6146	−	6.67427i	0.589798	−	0.269352i
$615$	−29.6392	+	17.1669i	−1.19517	+	0.692236i
$616$	−0.594796	+	4.13690i	−0.0239650	+	0.166680i
$617$	−40.0167	+	8.70509i	−1.61101	+	0.350454i	−0.925836	−	0.377926i	$-0.876637\pi$
$617$	−40.0167	+	8.70509i	−1.61101	+	0.350454i	−0.685174	+	0.728379i	$0.740274\pi$
$618$	−7.64039	+	0.546451i	−0.307341	+	0.0219815i
$619$	−23.7516	−	6.97411i	−0.954658	−	0.280313i	−0.232933	−	0.972493i	$-0.574832\pi$
$619$	−23.7516	−	6.97411i	−0.954658	−	0.280313i	−0.721725	+	0.692180i	$0.756651\pi$
$620$	−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
$623$	31.3944	−	17.1426i	1.25779	−	0.686805i
$624$	2.95605	+	2.56143i	0.118337	+	0.102539i
$625$	−18.1885	−	17.1516i	−0.727541	−	0.686064i
$626$	−25.8483	−	3.71643i	−1.03311	−	0.148538i
$627$	−1.10324	−	0.239995i	−0.0440591	−	0.00958447i
$628$	−6.66075	+	17.8582i	−0.265793	+	0.712618i
$629$	−19.3371	+	16.7557i	−0.771019	+	0.668092i
$630$	7.50200	+	6.17674i	0.298887	+	0.246087i
$631$	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	$0.414044\pi$
$632$	0.531329	−	0.973056i	0.0211351	−	0.0387061i
$633$	6.64708	−	12.1732i	0.264198	−	0.483842i
$634$	−20.9123	−	9.55035i	−0.830535	−	0.379293i
$635$	−44.5119	+	4.31252i	−1.76640	+	0.171137i
$636$	3.81449	−	3.30527i	0.151254	−	0.131063i
$637$	9.43683	−	25.3011i	0.373901	−	1.00247i
$638$	−3.07331	−	0.668559i	−0.121674	−	0.0264685i
$639$	−13.6391	−	1.96101i	−0.539555	−	0.0775762i
$640$	−1.82324	−	1.29453i	−0.0720699	−	0.0511706i
$641$	−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	$-0.578838\pi$
$642$	14.2833	−	7.79928i	0.563718	−	0.307813i
$643$	−27.6421	−	27.6421i	−1.09010	−	1.09010i	−0.995517	−	0.0945826i	$-0.969848\pi$
$643$	−27.6421	−	27.6421i	−1.09010	−	1.09010i	−0.0945826	−	0.995517i	$-0.530152\pi$
$644$	−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
$647$	5.58131	−	0.399183i	0.219424	−	0.0156935i	0.0388057	−	0.999247i	$-0.487645\pi$
$647$	5.58131	−	0.399183i	0.219424	−	0.0156935i	0.180618	+	0.983553i	$0.442190\pi$
$648$	−4.55568	+	0.991027i	−0.178964	+	0.0389312i
$649$	1.56825	−	10.9075i	0.0615594	−	0.428155i
$650$	6.47968	+	12.4839i	0.254154	+	0.489659i
$651$	−19.1680	+	8.75373i	−0.751253	+	0.343086i
$652$	1.02385	−	14.3153i	0.0400972	−	0.560632i
$653$	7.75292	+	5.80376i	0.303395	+	0.227119i	0.740117	−	0.672478i	$-0.234770\pi$
$653$	7.75292	+	5.80376i	0.303395	+	0.227119i	−0.436722	+	0.899596i	$0.643861\pi$
$654$	6.35085	−	13.9064i	0.248338	−	0.543784i
$655$	15.8302	+	9.61898i	0.618536	+	0.375845i
$656$	−10.5703	+	3.10371i	−0.412700	+	0.121180i
$657$	6.01417	−	2.24317i	0.234635	−	0.0875144i
$658$	−23.7746	+	31.7592i	−0.926831	+	1.23810i
$659$	−0.560278	−	0.646595i	−0.0218253	−	0.0251878i	0.744732	−	0.667364i	$-0.232577\pi$
$659$	−0.560278	−	0.646595i	−0.0218253	−	0.0251878i	−0.766557	+	0.642176i	$0.778032\pi$
$660$	−1.18948	−	2.95930i	−0.0463004	−	0.115191i
$661$	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	$0.446553\pi$
$662$	−24.2039	+	18.1188i	−0.940711	+	0.704208i
$663$	−2.82357	−	12.9798i	−0.109658	−	0.504092i
$664$	−5.42312	+	6.25861i	−0.210458	+	0.242881i
$665$	−6.81797	−	2.34917i	−0.264390	−	0.0910968i
$666$		−	8.03653i		−	0.311409i
$667$	−1.69158	−	14.6065i	−0.0654983	−	0.565566i
$668$	−8.37006	+	8.37006i	−0.323847	+	0.323847i
$669$	2.74609	−	9.35233i	0.106170	−	0.361582i
$670$	−18.0488	+	0.454623i	−0.697284	+	0.0175636i
$671$	2.90095	+	1.86433i	0.111990	+	0.0719716i
$672$	−3.39490	−	4.53506i	−0.130961	−	0.174944i
$673$	8.81331	−	40.5141i	0.339728	−	1.56171i	−0.417575	−	0.908642i	$-0.637120\pi$
$673$	8.81331	−	40.5141i	0.339728	−	1.56171i	0.757303	−	0.653063i	$-0.226516\pi$
$674$	−7.13949	−	15.6333i	−0.275003	−	0.602172i
$675$	−27.8938	−	4.61125i	−1.07363	−	0.177487i
$676$	0.723905	+	5.03487i	0.0278425	+	0.193649i
$677$	17.0192	+	45.6301i	0.654100	+	1.75371i	0.657203	+	0.753713i	$0.271739\pi$
$677$	17.0192	+	45.6301i	0.654100	+	1.75371i	−0.00310367	+	0.999995i	$0.500988\pi$
$678$	−8.93343	−	4.87802i	−0.343086	−	0.187339i
$679$	−1.90598	−	6.49116i	−0.0731446	−	0.249108i
$680$	2.32221	+	7.22999i	0.0890526	+	0.277258i
$681$	8.03902	−	1.15584i	0.308056	−	0.0442918i
$682$	−3.80606	−	0.272215i	−0.145742	−	0.0104236i
$683$	2.84544	+	1.06129i	0.108878	+	0.0406093i	0.403313	−	0.915062i	$-0.367859\pi$
$683$	2.84544	+	1.06129i	0.108878	+	0.0406093i	−0.294435	+	0.955672i	$0.595131\pi$
$684$	−0.710297	+	0.456480i	−0.0271589	+	0.0174540i
$685$	−9.19980	+	48.0910i	−0.351506	+	1.83746i
$686$	−5.72564	+	8.90927i	−0.218606	+	0.340158i
$687$	0.110187	+	1.54062i	0.00420391	+	0.0587784i
$688$	−4.51436	−	8.26743i	−0.172108	−	0.315193i
$689$	−10.2114			−0.389024
$690$	11.2915	−	9.73836i	0.429860	−	0.370733i
$691$	−4.68868			−0.178366			−0.0891829	−	0.996015i	$-0.528426\pi$
$691$	−4.68868			−0.178366			−0.0891829	+	0.996015i	$0.528426\pi$
$692$	−6.49861	−	11.9013i	−0.247040	−	0.452420i
$693$	0.318035	+	4.44671i	0.0120811	+	0.168916i
$694$	7.78248	−	12.1098i	0.295419	−	0.459681i
$695$	−15.3644	−	22.6334i	−0.582805	−	0.858533i
$696$	3.58637	−	2.30482i	0.135941	−	0.0873641i
$697$	35.0537	+	13.0744i	1.32775	+	0.495226i
$698$	18.2517	+	1.30539i	0.690838	+	0.0494097i
$699$	−19.6641	+	2.82727i	−0.743763	+	0.106937i
$700$	−5.32687	−	19.6624i	−0.201337	−	0.743168i
$701$	−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	$-0.249713\pi$
$702$	13.9607	+	7.62313i	0.526914	+	0.287717i
$703$	2.08414	+	5.58780i	0.0786048	+	0.210748i
$704$	−0.145990	−	1.01538i	−0.00550219	−	0.0382686i
$705$	3.55258	−	30.0654i	0.133798	−	1.13233i
$706$	−9.91685	−	21.7149i	−0.373226	−	0.817250i
$707$	−0.192269	+	0.883849i	−0.00723104	+	0.0332405i
$708$	8.95109	+	11.9573i	0.336403	+	0.449381i
$709$	−14.7483	−	9.47815i	−0.553884	−	0.355959i	0.233564	−	0.972342i	$-0.424961\pi$
$709$	−14.7483	−	9.47815i	−0.553884	−	0.355959i	−0.787447	+	0.616382i	$0.788598\pi$
$710$	20.9332	+	19.9046i	0.785610	+	0.747006i
$711$	0.333172	−	1.13468i	0.0124949	−	0.0425538i
$712$	−6.20805	+	6.20805i	−0.232657	+	0.232657i
$713$	−4.55329	−	17.2483i	−0.170522	−	0.645955i
$714$			19.2385i			0.719984i
$715$	−2.10201	+	6.10066i	−0.0786108	+	0.228152i
$716$	−10.8494	+	12.5209i	−0.405462	+	0.467928i
$717$	0.682850	+	3.13901i	0.0255015	+	0.117229i
$718$	−19.6066	+	14.6773i	−0.731713	+	0.547754i
$719$	2.42490	+	3.77322i	0.0904336	+	0.140717i	0.883523	−	0.468388i	$-0.155165\pi$
$719$	2.42490	+	3.77322i	0.0904336	+	0.140717i	−0.793089	+	0.609105i	$0.791529\pi$
$720$	−2.19386	−	0.935877i	−0.0817604	−	0.0348781i
$721$	−14.6982	−	16.9627i	−0.547390	−	0.631722i
$722$	−11.0108	+	14.7087i	−0.409779	+	0.547401i
$723$	7.99608	−	2.98238i	0.297378	−	0.110916i
$724$	5.03993	−	1.47986i	0.187308	−	0.0549985i
$725$	15.0450	−	2.94288i	0.558757	−	0.109296i
$726$	−5.74590	+	12.5818i	−0.213250	+	0.466953i
$727$	−25.3717	−	18.9930i	−0.940984	−	0.704412i	0.0143632	−	0.999897i	$-0.495428\pi$
$727$	−25.3717	−	18.9930i	−0.940984	−	0.704412i	−0.955347	+	0.295485i	$0.904519\pi$
$728$	−0.817625	+	11.4319i	−0.0303032	+	0.423694i
$729$	−25.9788	+	11.8641i	−0.962179	+	0.439412i
$730$	−13.0023	−	3.46469i	−0.481237	−	0.128234i
$731$	−4.55258	+	31.6639i	−0.168383	+	1.17113i
$732$	−4.56725	+	0.993545i	−0.168811	+	0.0367225i
$733$	20.6908	−	1.47984i	0.764232	−	0.0546590i	0.316219	−	0.948686i	$-0.397586\pi$
$733$	20.6908	−	1.47984i	0.764232	−	0.0546590i	0.448013	+	0.894027i	$0.352132\pi$
$734$	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
$738$	−10.3136	+	5.63164i	−0.379648	+	0.207303i
$739$	32.9455	+	28.5474i	1.21192	+	1.05013i	0.997300	+	0.0734352i	$0.0233962\pi$
$739$	32.9455	+	28.5474i	1.21192	+	1.05013i	0.214618	+	0.976698i	$0.431149\pi$
$740$	−9.75327	+	13.7367i	−0.358537	+	0.504972i
$741$	−3.06461	−	0.440624i	−0.112581	−	0.0161867i
$742$	14.4514	+	3.14372i	0.530529	+	0.115410i
$743$	−4.32392	+	11.5929i	−0.158629	+	0.425302i	−0.991814	−	0.127694i	$-0.959243\pi$
$743$	−4.32392	+	11.5929i	−0.158629	+	0.425302i	0.833184	+	0.552995i	$0.186515\pi$
$744$	3.90880	−	3.38699i	0.143303	−	0.124173i
$745$	−24.2219	+	29.4188i	−0.887421	+	1.07782i
$746$	−1.45324	−	0.663670i	−0.0532067	−	0.0242987i
$747$	−4.23341	+	7.75291i	−0.154892	+	0.283664i
$748$	−1.66957	+	3.05760i	−0.0610457	+	0.111797i
$749$	43.3762	+	19.8093i	1.58493	+	0.723815i
$750$	11.0379	+	10.9467i	0.403049	+	0.399717i
$751$	−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	$0.291749\pi$
$752$	3.40284	−	9.12338i	0.124089	−	0.332695i
$753$	18.7753	+	4.08432i	0.684211	+	0.148841i
$754$	−8.53714	−	1.22746i	−0.310904	−	0.0447013i
$755$	−1.94400	−	11.4635i	−0.0707493	−	0.417201i
$756$	−17.4107	−	15.0864i	−0.633220	−	0.548689i
$757$	−34.3518	+	18.7575i	−1.24854	+	0.681753i	−0.961141	−	0.276058i	$-0.910972\pi$
$757$	−34.3518	+	18.7575i	−1.24854	+	0.681753i	−0.287397	+	0.957812i	$0.592790\pi$
$758$	−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	$0.615291\pi$
$762$	27.7374	−	1.98382i	1.00482	−	0.0718661i
$763$	43.7726	−	9.52214i	1.58467	−	0.344725i
$764$	−2.27907	+	15.8513i	−0.0824538	+	0.573478i
$765$	4.05972	+	7.00922i	0.146779	+	0.253419i
$766$	10.4091	−	4.75368i	0.376097	−	0.171758i
$767$	2.15577	−	30.1417i	0.0778405	−	1.08835i
$768$	1.11311	+	0.833262i	0.0401658	+	0.0300677i
$769$	15.0247	−	32.8994i	0.541804	−	1.18638i	−0.418702	−	0.908124i	$-0.637515\pi$
$769$	15.0247	−	32.8994i	0.541804	−	1.18638i	0.960506	−	0.278261i	$-0.0897579\pi$
$770$	4.85299	−	7.98667i	0.174890	−	0.287820i
$771$	−28.1859	+	8.27612i	−1.01509	+	0.298057i
$772$	−20.1477	+	7.51472i	−0.725133	+	0.270461i
$773$	21.6842	−	28.9667i	0.779926	−	1.04186i	−0.217901	−	0.975971i	$-0.569921\pi$
$773$	21.6842	−	28.9667i	0.779926	−	1.04186i	0.997827	−	0.0658885i	$-0.0209882\pi$
$774$	−6.57980	−	7.59349i	−0.236506	−	0.272942i
$775$	17.5589	−	6.13163i	0.630733	−	0.220255i
$776$	0.897725	+	1.39689i	0.0322264	+	0.0501453i
$777$	−34.1682	+	25.5780i	−1.22578	+	0.917607i
$778$	−5.64948	−	25.9702i	−0.202543	−	0.931077i
$779$	5.71055	−	6.59033i	0.204602	−	0.236123i
$780$	−3.83248	−	7.86180i	−0.137225	−	0.281498i
$781$			13.2517i			0.474183i
$782$	−16.0512	−	2.76031i	−0.573991	−	0.0987083i
$783$	12.2589	−	12.2589i	0.438098	−	0.438098i
$784$	2.70446	−	9.21054i	0.0965878	−	0.328948i
$785$	29.3679	−	30.8856i	1.04819	−	1.10235i
$786$	−9.68986	−	6.22730i	−0.345626	−	0.222120i
$787$	−11.9650	−	15.9834i	−0.426508	−	0.569748i	0.534886	−	0.844924i	$-0.320355\pi$
$787$	−11.9650	−	15.9834i	−0.426508	−	0.569748i	−0.961394	+	0.275177i	$0.911264\pi$
$788$	5.55927	−	25.5555i	0.198041	−	0.910379i
$789$	0.272424	+	0.596525i	0.00969855	+	0.0212369i
$790$	−1.94655	+	1.53515i	−0.0692552	+	0.0546181i
$791$	−4.24449	−	29.5211i	−0.150917	−	1.04965i
$792$	−0.382387	−	1.02522i	−0.0135875	−	0.0364296i
$793$	8.29961	+	4.53193i	0.294728	+	0.160934i
$794$	1.52430	+	5.19129i	0.0540954	+	0.184232i
$795$	−10.7454	+	3.45133i	−0.381101	+	0.122406i
$796$	−2.12569	+	0.305628i	−0.0753430	+	0.0108327i
$797$	−4.46737	−	0.319513i	−0.158242	−	0.0113177i	−0.00800679	−	0.999968i	$-0.502549\pi$
$797$	−4.46737	−	0.319513i	−0.158242	−	0.0113177i	−0.150236	+	0.988650i	$0.548003\pi$
$798$	4.20146	+	1.56706i	0.148730	+	0.0554734i
$799$	−27.8188	+	17.8781i	−0.984160	+	0.632481i
$800$	2.61414	+	4.26219i	0.0924238	+	0.150691i
$801$	−5.06300	+	7.87818i	−0.178892	+	0.278362i
$802$	1.76488	+	24.6762i	0.0623201	+	0.871348i
$803$	−2.95845	−	5.41799i	−0.104401	−	0.191197i
$804$	11.2267			0.395936
$805$	42.6711	+	9.38627i	1.50396	+	0.330822i
$806$	−10.4639			−0.368574
$807$	4.98996	+	9.13843i	0.175655	+	0.321688i
$808$	−0.0158380	−	0.221444i	−0.000557179	−	0.00779038i
$809$	24.8958	−	38.7387i	0.875290	−	1.36198i	−0.0562789	−	0.998415i	$-0.517924\pi$
$809$	24.8958	−	38.7387i	0.875290	−	1.36198i	0.931569	−	0.363563i	$-0.118440\pi$
$810$	10.2394	+	1.95879i	0.359775	+	0.0688249i
$811$	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	$0.161505\pi$
$812$	11.7041	+	4.36540i	0.410733	+	0.153195i
$813$	3.01072	+	0.215331i	0.105591	+	0.00755199i
$814$	−7.65012	+	1.09992i	−0.268137	+	0.0385522i
$815$	−14.6659	+	28.5447i	−0.513723	+	0.999877i
$816$	−1.33034	−	4.53073i	−0.0465713	−	0.158607i
$817$	6.54418	+	3.57339i	0.228952	+	0.125017i
$818$	−4.69901	−	12.5985i	−0.164297	−	0.440497i
$819$	1.73982	+	12.1007i	0.0607944	+	0.422834i
$820$	24.4635	+	2.89065i	0.854303	+	0.100946i
$821$	−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	$-0.376492\pi$
$822$	6.47186	−	29.7506i	0.225732	−	1.03767i
$823$	−16.8073	−	22.4520i	−0.585867	−	0.782626i	0.405451	−	0.914117i	$-0.367115\pi$
$823$	−16.8073	−	22.4520i	−0.585867	−	0.782626i	−0.991317	+	0.131490i	$0.958024\pi$
$824$	4.63444	+	2.97837i	0.161448	+	0.103756i
$825$	−0.149992	+	7.13016i	−0.00522207	+	0.248240i
$826$	−12.3304	+	41.9935i	−0.429030	+	1.46114i
$827$	−13.1908	+	13.1908i	−0.458689	+	0.458689i	−0.898225	−	0.439536i	$-0.855143\pi$
$827$	−13.1908	+	13.1908i	−0.458689	+	0.458689i	0.439536	+	0.898225i	$0.355143\pi$
$828$	3.95674	−	3.24239i	0.137506	−	0.112681i
$829$			17.7064i			0.614968i	0.951553	+	0.307484i	$0.0994870\pi$
$829$			17.7064i			0.614968i	−0.951553	+	0.307484i	$0.900513\pi$
$830$	16.6452	−	8.11421i	0.577763	−	0.281648i
$831$	−29.7266	+	34.3063i	−1.03120	+	1.19007i
$832$	−0.597961	−	2.74878i	−0.0207306	−	0.0952968i
$833$	−26.0975	+	19.5364i	−0.904226	+	0.676895i
$834$	9.19656	+	14.3101i	0.318451	+	0.495519i
$835$	24.5588	−	9.87132i	0.849894	−	0.341611i
$836$	0.531747	+	0.613669i	0.0183909	+	0.0212242i
$837$	12.6047	−	16.8379i	0.435682	−	0.582002i
$838$	−4.64952	+	1.73418i	−0.160615	+	0.0599063i
$839$	37.0269	−	10.8721i	1.27831	−	0.375346i	0.429032	−	0.903289i	$-0.358855\pi$
$839$	37.0269	−	10.8721i	1.27831	−	0.375346i	0.849280	+	0.527943i	$0.177037\pi$
$840$	3.00346	+	12.3061i	0.103629	+	0.424600i
$841$	8.14193	−	17.8283i	0.280756	−	0.614770i
$842$	10.2122	+	7.64473i	0.351934	+	0.263455i
$843$	−1.31523	+	18.3893i	−0.0452988	+	0.633360i
$844$	−9.07364	+	4.14379i	−0.312328	+	0.142635i
$845$	2.92863	−	10.9906i	0.100748	−	0.378087i
$846$	1.47815	−	10.2808i	0.0508198	−	0.353460i
$847$	−39.6030	+	8.61510i	−1.36077	+	0.296018i
$848$	−3.62074	+	0.258960i	−0.124337	+	0.00889274i
$849$	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
$853$	−11.0629	+	6.04081i	−0.378787	+	0.206833i	−0.657351	−	0.753584i	$-0.728323\pi$
$853$	−11.0629	+	6.04081i	−0.378787	+	0.206833i	0.278564	+	0.960418i	$0.410141\pi$
$854$	−10.3506	−	8.96885i	−0.354190	−	0.306908i
$855$	1.86141	−	0.315660i	0.0636588	−	0.0107953i
$856$	−11.5850	−	1.66568i	−0.395968	−	0.0569316i
$857$	−4.89807	−	1.06551i	−0.167315	−	0.0363972i	0.128127	−	0.991758i	$-0.459103\pi$
$857$	−4.89807	−	1.06551i	−0.167315	−	0.0363972i	−0.295442	+	0.955361i	$0.595467\pi$
$858$	1.40219	−	3.75943i	0.0478701	−	0.128345i
$859$	−33.9082	+	29.3816i	−1.15693	+	1.00249i	−0.157044	+	0.987592i	$0.550196\pi$
$859$	−33.9082	+	29.3816i	−1.15693	+	1.00249i	−0.999889	+	0.0148967i	$0.995258\pi$
$860$	2.03117	+	20.9648i	0.0692622	+	0.714895i
$861$	56.7688	+	25.9254i	1.93467	+	0.883536i
$862$	7.43203	−	13.6107i	0.253136	−	0.463584i
$863$	3.24290	−	5.93892i	0.110389	−	0.202163i	−0.816644	−	0.577142i	$-0.804168\pi$
$863$	3.24290	−	5.93892i	0.110389	−	0.202163i	0.927034	+	0.374978i	$0.122350\pi$
$864$	5.14349	+	2.34895i	0.174985	+	0.0799130i
$865$	2.92395	+	30.1797i	0.0994173	+	1.02614i
$866$	21.0444	−	18.2351i	0.715118	−	0.619653i
$867$	2.65643	−	7.12216i	0.0902170	−	0.241881i
$868$	14.8087	+	3.22144i	0.502641	+	0.109343i
$869$	−1.12572	−	0.161854i	−0.0381875	−	0.00549053i
$870$	−9.39847	+	1.59380i	−0.318638	+	0.0540350i
$871$	−17.1656	−	14.8740i	−0.581633	−	0.503988i
$872$	−9.65010	+	5.26936i	−0.326794	+	0.178443i
$873$	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
$877$	45.1914	−	3.23215i	1.52601	−	0.109142i	0.717054	−	0.697018i	$-0.245490\pi$
$877$	45.1914	−	3.23215i	1.52601	−	0.109142i	0.808951	+	0.587876i	$0.200036\pi$
$878$	16.7597	−	3.64585i	0.565612	−	0.123041i
$879$	−4.29340	+	29.8613i	−0.144813	+	1.00720i
$880$	−0.590615	+	2.21647i	−0.0199096	+	0.0747171i
$881$	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	$0.336508\pi$
$882$	0.730466	−	10.2132i	0.0245961	−	0.343898i
$883$	−10.8842	−	8.14781i	−0.366283	−	0.274196i	0.400243	−	0.916409i	$-0.368926\pi$
$883$	−10.8842	−	8.14781i	−0.366283	−	0.274196i	−0.766526	+	0.642213i	$0.778016\pi$
$884$	−3.96858	+	8.68998i	−0.133478	+	0.292276i
$885$	−7.91900	−	32.4466i	−0.266194	−	1.09068i
$886$	25.5396	−	7.49912i	0.858021	−	0.251938i
$887$	1.19738	−	0.446600i	0.0402042	−	0.0149954i	−0.329282	−	0.944232i	$-0.606807\pi$
$887$	1.19738	−	0.446600i	0.0402042	−	0.0149954i	0.369486	+	0.929236i	$0.379534\pi$
$888$	6.27800	−	8.38642i	0.210676	−	0.281430i
$889$	53.3599	+	61.5806i	1.78963	+	2.06535i
$890$	18.2152	−	7.32153i	0.610576	−	0.245418i
$891$	2.58567	+	4.02338i	0.0866233	+	0.134788i
$892$	−5.61188	+	4.20100i	−0.187900	+	0.140660i
$893$	1.63839	+	7.53154i	0.0548265	+	0.252033i
$894$	15.5176	−	17.9083i	0.518987	−	0.598943i
$895$	33.3001	−	16.2332i	1.11310	−	0.542615i
$896$			4.07423i			0.136111i
$897$	18.7514	+	0.515852i	0.626091	+	0.0172238i
$898$	7.64052	−	7.64052i	0.254967	−	0.254967i
$899$	−3.21310	+	10.9428i	−0.107163	+	0.364963i
$900$	3.69109	+	3.84972i	0.123036	+	0.128324i
$901$	10.3706	+	6.66480i	0.345496	+	0.222037i
$902$	6.77243	+	9.04691i	0.225497	+	0.301229i
$903$	−11.3430	+	52.1428i	−0.377470	+	1.73520i
$904$	3.04096	+	6.65878i	0.101141	+	0.221468i
$905$	−11.6643	−	1.37827i	−0.387733	−	0.0458152i
$906$	1.02895	+	7.15649i	0.0341845	+	0.237759i
$907$	12.7176	+	34.0972i	0.422281	+	1.13218i	0.957744	+	0.287621i	$0.0928644\pi$
$907$	12.7176	+	34.0972i	0.422281	+	1.13218i	−0.535463	+	0.844559i	$0.679863\pi$
$908$	−5.12659	−	2.79933i	−0.170132	−	0.0928990i
$909$	−0.0667172	−	0.227218i	−0.00221287	−	0.00753634i
$910$	11.7118	−	22.7951i	0.388243	−	0.755651i
$911$	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	$0.346001\pi$
$912$	−1.09782	−	0.0785174i	−0.0363524	−	0.00259997i
$913$	7.95955	+	2.96876i	0.263423	+	0.0982515i
$914$	1.43692	−	0.923455i	0.0475292	−	0.0305452i
$915$	10.2654	+	1.96377i	0.339363	+	0.0649202i
$916$	0.600564	−	0.934496i	0.0198432	−	0.0308766i
$917$	−2.40775	−	33.6647i	−0.0795109	−	1.11171i
$918$	−9.20293	−	16.8539i	−0.303742	−	0.556262i
$919$	−22.6442			−0.746964			−0.373482	−	0.927637i	$-0.621836\pi$
$919$	−22.6442			−0.746964			−0.373482	+	0.927637i	$0.621836\pi$
$920$	−10.6982	+	0.740211i	−0.352710	+	0.0244040i
$921$	22.3396			0.736114
$922$	5.20821	+	9.53812i	0.171523	+	0.314121i
$923$	2.59244	+	36.2470i	0.0853312	+	1.19309i
$924$	−3.14181	+	4.88875i	−0.103358	+	0.160828i
$925$	32.1124	−	19.6956i	1.05585	−	0.647587i
$926$	−11.8060	+	7.58728i	−0.387970	+	0.249333i
$927$	5.50573	+	2.05353i	0.180832	+	0.0674468i
$928$	−3.05821	−	0.218728i	−0.100391	−	0.00718008i
$929$	−40.9914	+	5.89367i	−1.34488	+	0.193365i	−0.776873	−	0.629657i	$-0.783195\pi$
$929$	−40.9914	+	5.89367i	−1.34488	+	0.193365i	−0.568010	+	0.823022i	$0.692286\pi$
$930$	−11.0111	+	3.53666i	−0.361068	+	0.115972i
$931$	2.14074	+	7.29070i	0.0701600	+	0.238943i
$932$	12.5400	+	6.84738i	0.410763	+	0.224293i
$933$	−3.46786	−	9.29769i	−0.113533	−	0.304393i
$934$	−2.19427	−	15.2615i	−0.0717986	−	0.499370i
$935$	6.11658	−	4.82384i	0.200033	−	0.157756i
$936$	−1.24650	−	2.72945i	−0.0407430	−	0.0892148i
$937$	2.93897	−	13.5102i	0.0960118	−	0.441359i	−0.903896	−	0.427753i	$-0.859305\pi$
$937$	2.93897	−	13.5102i	0.0960118	−	0.441359i	0.999907	−	0.0136061i	$-0.00433110\pi$
$938$	19.7140	+	26.3348i	0.643684	+	0.859861i
$939$	−30.5461	−	19.6308i	−0.996835	−	0.640627i
$940$	−15.0035	+	15.7789i	−0.489360	+	0.514649i
$941$	−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
$943$	−29.7753	+	43.6440i	−0.969619	+	1.42124i
$944$		−	10.7422i		−	0.349630i
$945$	22.5727	+	46.3048i	0.734290	+	1.50630i
$946$	−6.32784	+	7.30272i	−0.205736	+	0.237432i
$947$	−2.93257	−	13.4808i	−0.0952959	−	0.438068i	−0.999929	−	0.0118778i	$-0.996219\pi$
$947$	−2.93257	−	13.4808i	−0.0952959	−	0.438068i	0.904634	−	0.426190i	$-0.140145\pi$
$948$	1.23407	−	0.923812i	0.0400807	−	0.0300040i
$949$	−9.15209	−	14.2409i	−0.297089	−	0.462280i
$950$	−3.56477	−	1.71949i	−0.115656	−	0.0557875i
$951$	−20.9334	−	24.1584i	−0.678811	−	0.783390i
$952$	8.29176	−	11.0765i	0.268738	−	0.358991i
$953$	−45.8917	+	17.1167i	−1.48658	+	0.554465i	−0.956050	−	0.293204i	$-0.905279\pi$
$953$	−45.8917	+	17.1167i	−1.48658	+	0.554465i	−0.530527	+	0.847668i	$0.678006\pi$
$954$	−3.71515	+	1.09087i	−0.120282	+	0.0353181i
$955$	18.5951	−	30.6024i	0.601723	−	0.990269i
$956$	0.959758	−	2.10158i	0.0310408	−	0.0679699i
$957$	−3.50094	−	2.62077i	−0.113169	−	0.0847174i
$958$	1.20250	−	16.8131i	0.0388510	−	0.543208i
$959$	81.1512	−	37.0605i	2.62051	−	1.19675i
$960$	−1.55829	−	2.69043i	−0.0502935	−	0.0868332i
$961$	2.44263	−	16.9889i	0.0787946	−	0.548028i
$962$	−20.7100	+	4.50518i	−0.667717	+	0.145253i
$963$	−12.4526	+	0.890630i	−0.401280	+	0.0287001i
$964$	−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	$0.947695\pi$
$968$	8.73088	−	4.76742i	0.280621	−	0.153231i
$969$	2.82481	+	2.44771i	0.0907459	+	0.0786317i
$970$	−0.620784	−	3.66069i	−0.0199322	−	0.117538i
$971$	−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	$0.606605\pi$
$972$	10.2413	+	2.22787i	0.328491	+	0.0714588i
$973$	−17.4185	+	46.7009i	−0.558413	+	1.49716i
$974$	10.2459	−	8.87816i	0.328301	−	0.284475i
$975$	0.984606	+	19.5323i	0.0315326	+	0.625533i
$976$	3.05779	+	1.39645i	0.0978775	+	0.0446991i
$977$	10.3250	−	18.9089i	0.330327	−	0.604949i	−0.658748	−	0.752364i	$-0.728913\pi$
$977$	10.3250	−	18.9089i	0.330327	−	0.604949i	0.989075	+	0.147415i	$0.0470953\pi$
$978$	9.56366	−	17.5145i	0.305812	−	0.560053i
$979$	8.19234	+	3.74131i	0.261828	+	0.119573i
$980$	−13.6436	+	16.5709i	−0.435827	+	0.529337i
$981$	−8.86345	+	7.68023i	−0.282988	+	0.245211i
$982$	1.72363	−	4.62123i	0.0550033	−	0.147469i
$983$	−51.6486	−	11.2355i	−1.64733	−	0.358355i	−0.709301	−	0.704905i	$-0.750990\pi$
$983$	−51.6486	−	11.2355i	−1.64733	−	0.358355i	−0.938032	+	0.346550i	$0.887353\pi$
$984$	−15.1619	−	2.17996i	−0.483345	−	0.0694945i
$985$	−33.8560	+	47.6836i	−1.07874	+	1.51933i
$986$	7.86912	+	6.81863i	0.250604	+	0.217149i
$987$	−48.4144	+	26.4362i	−1.54105	+	0.841475i
$988$	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	$0.296165\pi$
$992$	−3.71026	+	0.265363i	−0.117801	+	0.00842528i
$993$	−41.0785	+	8.93609i	−1.30359	+	0.283578i
$994$	7.49025	−	52.0958i	0.237576	−	1.65238i
$995$	4.64015	+	1.23645i	0.147103	+	0.0391980i
$996$	−10.4742	+	4.78339i	−0.331887	+	0.151568i
$997$	−0.474844	+	6.63919i	−0.0150385	+	0.210265i	0.984377	+	0.176074i	$0.0563399\pi$
$997$	−0.474844	+	6.63919i	−0.0150385	+	0.210265i	−0.999415	+	0.0341908i	$0.989115\pi$
$998$	22.7122	+	17.0021i	0.718942	+	0.538193i
$999$	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.97.2	yes	240
5.3	odd	4	inner	230.2.l.a.143.5	yes	240
23.14	odd	22	inner	230.2.l.a.37.5	✓	240
115.83	even	44	inner	230.2.l.a.83.2	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.37.5	✓	240	23.14	odd	22	inner
230.2.l.a.83.2	yes	240	115.83	even	44	inner
230.2.l.a.97.2	yes	240	1.1	even	1	trivial
230.2.l.a.143.5	yes	240	5.3	odd	4	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)

\(f(q)\)	\(=\)	\(q+(-0.479249 - 0.877679i) q^{2} +(-0.0991931 - 1.38690i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(1.85006 - 1.25589i) q^{5} +(-1.16972 + 0.751731i) q^{6} +(-3.81735 - 1.42380i) q^{7} +(0.997452 + 0.0713392i) q^{8} +(1.05581 - 0.151803i) q^{9} +O(q^{10})\)	\(q+(-0.479249 - 0.877679i) q^{2} +(-0.0991931 - 1.38690i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(1.85006 - 1.25589i) q^{5} +(-1.16972 + 0.751731i) q^{6} +(-3.81735 - 1.42380i) q^{7} +(0.997452 + 0.0713392i) q^{8} +(1.05581 - 0.151803i) q^{9} +(-1.98891 - 1.02188i) q^{10} +(-0.289007 - 0.984268i) q^{11} +(1.22036 + 0.666369i) q^{12} +(-0.983067 - 2.63570i) q^{13} +(0.579824 + 4.03276i) q^{14} +(-1.92531 - 2.44128i) q^{15} +(-0.415415 - 0.909632i) q^{16} +(-0.721880 + 3.31843i) q^{17} +(-0.639230 - 0.853911i) q^{18} +(0.665904 + 0.427950i) q^{19} +(0.0563056 + 2.23536i) q^{20} +(-1.59601 + 5.43552i) q^{21} +(-0.725365 + 0.725365i) q^{22} +(-4.30601 - 2.11147i) q^{23} -1.39044i q^{24} +(1.84546 - 4.64696i) q^{25} +(-1.84217 + 2.12598i) q^{26} +(-1.20194 - 5.52525i) q^{27} +(3.26159 - 2.44160i) q^{28} +(1.65762 + 2.57930i) q^{29} +(-1.21995 + 2.85979i) q^{30} +(2.43591 + 2.81119i) q^{31} +(-0.599278 + 0.800541i) q^{32} +(-1.33642 + 0.498457i) q^{33} +(3.25848 - 0.956775i) q^{34} +(-8.85048 + 2.16007i) q^{35} +(-0.443109 + 0.970274i) q^{36} +(6.03147 + 4.51510i) q^{37} +(0.0564693 - 0.789545i) q^{38} +(-3.55795 + 1.62486i) q^{39} +(1.93494 - 1.12071i) q^{40} +(1.56781 - 10.9044i) q^{41} +(5.53553 - 1.20418i) q^{42} +(9.39565 - 0.671990i) 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} +(-1.22036 + 0.666369i) q^{48} +(7.25473 + 6.28626i) q^{49} +(-4.96298 + 0.607329i) q^{50} +(4.67394 + 0.672011i) q^{51} +(2.74878 + 0.597961i) q^{52} +(1.26855 - 3.40112i) q^{53} +(-4.27336 + 3.70289i) q^{54} +(-1.77082 - 1.45800i) q^{55} +(-3.70605 - 1.69250i) q^{56} +(0.527472 - 0.965992i) q^{57} +(1.46939 - 2.69098i) q^{58} +(9.77148 + 4.46249i) q^{59} +(3.09464 - 0.299822i) q^{60} +(-2.54050 + 2.20136i) q^{61} +(1.29991 - 3.48520i) q^{62} +(-4.24653 - 0.923777i) q^{63} +(0.989821 + 0.142315i) q^{64} +(-5.12890 - 3.64159i) q^{65} +(1.07796 + 0.934058i) q^{66} +(7.08656 - 3.86956i) 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} +(1.06395 - 0.0760951i) q^{72} +(5.88018 - 1.27916i) q^{73} +(1.07223 - 7.45756i) q^{74} +(-6.62793 - 2.09853i) q^{75} +(-0.720030 + 0.328826i) q^{76} +(-0.298158 + 4.16879i) q^{77} +(3.13125 + 2.34402i) q^{78} +(0.460558 - 1.00848i) q^{79} +(-1.91094 - 1.16116i) q^{80} +(-4.47337 + 1.31350i) q^{81} +(-10.3219 + 3.84988i) q^{82} +(-4.96282 + 6.62955i) q^{83} +(-3.70978 - 4.28131i) q^{84} +(2.83207 + 7.04591i) q^{85} +(-5.09265 - 7.92432i) q^{86} +(3.41281 - 2.55480i) q^{87} +(-0.218054 - 1.00238i) q^{88} +(-5.74936 + 6.63511i) q^{89} +(-2.25504 - 0.776984i) q^{90} +11.4611i q^{91} +(4.10429 - 2.48089i) q^{92} +(3.65721 - 3.65721i) q^{93} +(2.74332 - 9.34289i) q^{94} +(1.76942 - 0.0445693i) q^{95} +(1.16972 + 0.751731i) q^{96} +(0.995090 + 1.32929i) q^{97} +(2.04049 - 9.38000i) 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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