LMFDB - Embedded newform 230.2.l.a.217.5

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			217.5
Character	$\chi$	$=$	230.217
Dual form			230.2.l.a.53.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0713392 + 0.997452i) q^{2} +(2.08058 - 0.452602i) q^{3} +(-0.989821 - 0.142315i) q^{4} +(0.0961239 - 2.23400i) q^{5} +(0.303022 + 2.10757i) q^{6} +(1.03877 - 0.567213i) q^{7} +(0.212565 - 0.977147i) q^{8} +(1.39507 - 0.637105i) q^{9} +(2.22145 + 0.255251i) q^{10} +(1.51315 + 1.31115i) q^{11} +(-2.12381 + 0.151898i) q^{12} +(0.194030 - 0.355339i) q^{13} +(0.491662 + 1.07659i) q^{14} +(-0.811121 - 4.69152i) q^{15} +(0.959493 + 0.281733i) q^{16} +(0.159170 + 0.119153i) q^{17} +(0.535959 + 1.43696i) q^{18} +(-0.301905 + 2.09979i) q^{19} +(-0.413077 + 2.19758i) q^{20} +(1.90453 - 1.65028i) q^{21} +(-1.41576 + 1.41576i) q^{22} +(-2.62684 + 4.01244i) q^{23} -2.12924i q^{24} +(-4.98152 - 0.429482i) q^{25} +(0.340591 + 0.218885i) q^{26} +(-2.49944 + 1.87106i) q^{27} +(-1.10892 + 0.413607i) q^{28} +(-6.77284 + 0.973787i) q^{29} +(4.73743 - 0.474365i) q^{30} +(4.28224 - 2.75203i) q^{31} +(-0.349464 + 0.936950i) q^{32} +(3.74166 + 2.04310i) q^{33} +(-0.130205 + 0.150264i) q^{34} +(-1.16730 - 2.37514i) q^{35} +(-1.47154 + 0.432082i) q^{36} +(5.58014 + 2.08129i) q^{37} +(-2.07291 - 0.450933i) q^{38} +(0.242867 - 0.827129i) q^{39} +(-2.16251 - 0.568798i) q^{40} +(-0.0109360 + 0.0239466i) q^{41} +(1.51021 + 2.01740i) q^{42} +(1.46672 + 6.74241i) q^{43} +(-1.31115 - 1.51315i) q^{44} +(-1.28919 - 3.17782i) q^{45} +(-3.81482 - 2.90639i) q^{46} +(-3.75022 - 3.75022i) q^{47} +(2.12381 + 0.151898i) q^{48} +(-3.02717 + 4.71036i) q^{49} +(0.783765 - 4.93819i) q^{50} +(0.385095 + 0.175867i) q^{51} +(-0.242625 + 0.324109i) q^{52} +(-0.258836 - 0.474023i) q^{53} +(-1.68798 - 2.62655i) q^{54} +(3.07456 - 3.25434i) q^{55} +(-0.333443 - 1.13560i) q^{56} +(0.322235 + 4.50543i) q^{57} +(-0.488137 - 6.82505i) q^{58} +(-3.65243 - 12.4390i) q^{59} +(0.135191 + 4.75920i) q^{60} +(-7.12877 - 11.0926i) q^{61} +(2.43953 + 4.46766i) q^{62} +(1.08778 - 1.45311i) q^{63} +(-0.909632 - 0.415415i) q^{64} +(-0.775176 - 0.467619i) q^{65} +(-2.30482 + 3.58637i) q^{66} +(-1.46764 - 0.104967i) q^{67} +(-0.140593 - 0.140593i) q^{68} +(-3.64931 + 9.53712i) q^{69} +(2.45236 - 0.994888i) q^{70} +(-8.17937 - 9.43950i) q^{71} +(-0.326003 - 1.49861i) q^{72} +(7.93925 + 10.6056i) q^{73} +(-2.47407 + 5.41745i) q^{74} +(-10.5588 + 1.36108i) q^{75} +(0.597663 - 2.03545i) q^{76} +(2.31552 + 0.503710i) q^{77} +(0.807695 + 0.301255i) q^{78} +(13.4642 - 3.95345i) q^{79} +(0.721621 - 2.11643i) q^{80} +(-7.36644 + 8.50133i) q^{81} +(-0.0231054 - 0.0126165i) q^{82} +(-0.979148 + 2.62520i) q^{83} +(-2.12000 + 1.36244i) q^{84} +(0.281488 - 0.344132i) q^{85} +(-6.82987 + 0.981986i) q^{86} +(-13.6507 + 5.09145i) q^{87} +(1.60283 - 1.19986i) q^{88} +(-1.06577 - 0.684929i) q^{89} +(3.26169 - 1.05921i) q^{90} -0.479172i q^{91} +(3.17114 - 3.59776i) q^{92} +(7.66397 - 7.66397i) q^{93} +(4.00820 - 3.47312i) q^{94} +(4.66192 + 0.876295i) q^{95} +(-0.303022 + 2.10757i) q^{96} +(2.50848 + 6.72549i) q^{97} +(-4.48241 - 3.35549i) q^{98} +(2.94628 + 0.865107i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 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}+ \cdots + 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

Character values

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

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

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 $

$2$	−0.0713392	+	0.997452i	−0.0504444	+	0.705305i
$2$	−0.0713392	+	0.997452i	−0.0504444	+	0.705305i
$3$	2.08058	−	0.452602i	1.20122	−	0.261310i	0.432941	−	0.901422i	$-0.357476\pi$
$3$	2.08058	−	0.452602i	1.20122	−	0.261310i	0.768282	+	0.640112i	$0.221112\pi$
$4$	−0.989821	−	0.142315i	−0.494911	−	0.0711574i
$5$	0.0961239	−	2.23400i	0.0429879	−	0.999076i
$5$	0.0961239	−	2.23400i	0.0429879	−	0.999076i
$6$	0.303022	+	2.10757i	0.123708	+	0.860410i
$7$	1.03877	−	0.567213i	0.392619	−	0.214386i	−0.270798	−	0.962636i	$-0.587287\pi$
$7$	1.03877	−	0.567213i	0.392619	−	0.214386i	0.663417	+	0.748250i	$0.269106\pi$
$8$	0.212565	−	0.977147i	0.0751532	−	0.345474i
$9$	1.39507	−	0.637105i	0.465022	−	0.212368i
$10$	2.22145	+	0.255251i	0.702485	+	0.0807174i
$11$	1.51315	+	1.31115i	0.456231	+	0.395327i	0.852433	−	0.522837i	$-0.175126\pi$
$11$	1.51315	+	1.31115i	0.456231	+	0.395327i	−0.396201	+	0.918164i	$0.629672\pi$
$12$	−2.12381	+	0.151898i	−0.613092	+	0.0438492i
$13$	0.194030	−	0.355339i	0.0538141	−	0.0985532i	−0.849388	−	0.527770i	$-0.823028\pi$
$13$	0.194030	−	0.355339i	0.0538141	−	0.0985532i	0.903202	+	0.429216i	$0.141210\pi$
$14$	0.491662	+	1.07659i	0.131402	+	0.287731i
$15$	−0.811121	−	4.69152i	−0.209430	−	1.21135i
$16$	0.959493	+	0.281733i	0.239873	+	0.0704331i
$17$	0.159170	+	0.119153i	0.0386044	+	0.0288989i	0.618406	−	0.785859i	$-0.287779\pi$
$17$	0.159170	+	0.119153i	0.0386044	+	0.0288989i	−0.579801	+	0.814758i	$0.696870\pi$
$18$	0.535959	+	1.43696i	0.126327	+	0.338695i
$19$	−0.301905	+	2.09979i	−0.0692617	+	0.481726i	0.925438	+	0.378900i	$0.123697\pi$
$19$	−0.301905	+	2.09979i	−0.0692617	+	0.481726i	−0.994699	+	0.102826i	$0.967212\pi$
$20$	−0.413077	+	2.19758i	−0.0923668	+	0.491394i
$21$	1.90453	−	1.65028i	0.415602	−	0.360121i
$22$	−1.41576	+	1.41576i	−0.301840	+	0.301840i
$23$	−2.62684	+	4.01244i	−0.547735	+	0.836652i
$23$	−2.62684	+	4.01244i	−0.547735	+	0.836652i
$24$		−	2.12924i		−	0.434629i
$25$	−4.98152	−	0.429482i	−0.996304	−	0.0858963i
$26$	0.340591	+	0.218885i	0.0667955	+	0.0429268i
$27$	−2.49944	+	1.87106i	−0.481018	+	0.360085i
$28$	−1.10892	+	0.413607i	−0.209567	+	0.0781643i
$29$	−6.77284	+	0.973787i	−1.25768	+	0.180828i	−0.738746	−	0.673984i	$-0.764582\pi$
$29$	−6.77284	+	0.973787i	−1.25768	+	0.180828i	−0.518939	+	0.854811i	$0.673673\pi$
$30$	4.73743	−	0.474365i	0.864933	−	0.0866068i
$31$	4.28224	−	2.75203i	0.769114	−	0.494279i	−0.0962909	−	0.995353i	$-0.530698\pi$
$31$	4.28224	−	2.75203i	0.769114	−	0.494279i	0.865404	+	0.501074i	$0.167062\pi$
$32$	−0.349464	+	0.936950i	−0.0617771	+	0.165631i
$33$	3.74166	+	2.04310i	0.651339	+	0.355658i
$34$	−0.130205	+	0.150264i	−0.0223299	+	0.0257701i
$35$	−1.16730	−	2.37514i	−0.197310	−	0.401472i
$36$	−1.47154	+	0.432082i	−0.245256	+	0.0720136i
$37$	5.58014	+	2.08129i	0.917370	+	0.342161i	0.763409	−	0.645916i	$-0.223524\pi$
$37$	5.58014	+	2.08129i	0.917370	+	0.342161i	0.153961	+	0.988077i	$0.450797\pi$
$38$	−2.07291	−	0.450933i	−0.336270	−	0.0731510i
$39$	0.242867	−	0.827129i	0.0388898	−	0.132447i
$40$	−2.16251	−	0.568798i	−0.341924	−	0.0899349i
$41$	−0.0109360	+	0.0239466i	−0.00170792	+	0.00373983i	−0.910484	−	0.413544i	$-0.864291\pi$
$41$	−0.0109360	+	0.0239466i	−0.00170792	+	0.00373983i	0.908776	+	0.417284i	$0.137018\pi$
$42$	1.51021	+	2.01740i	0.233030	+	0.311292i
$43$	1.46672	+	6.74241i	0.223673	+	1.02821i	0.942808	+	0.333337i	$0.108175\pi$
$43$	1.46672	+	6.74241i	0.223673	+	1.02821i	−0.719135	+	0.694871i	$0.755462\pi$
$44$	−1.31115	−	1.51315i	−0.197663	−	0.228116i
$45$	−1.28919	−	3.17782i	−0.192182	−	0.473721i
$46$	−3.81482	−	2.90639i	−0.562465	−	0.428524i
$47$	−3.75022	−	3.75022i	−0.547025	−	0.547025i	0.378554	−	0.925579i	$-0.376421\pi$
$47$	−3.75022	−	3.75022i	−0.547025	−	0.547025i	−0.925579	+	0.378554i	$0.876421\pi$
$48$	2.12381	+	0.151898i	0.306546	+	0.0219246i
$49$	−3.02717	+	4.71036i	−0.432453	+	0.672909i
$50$	0.783765	−	4.93819i	0.110841	−	0.698365i
$51$	0.385095	+	0.175867i	0.0539240	+	0.0246263i
$52$	−0.242625	+	0.324109i	−0.0336460	+	0.0449458i
$53$	−0.258836	−	0.474023i	−0.0355539	−	0.0651121i	0.859298	−	0.511475i	$-0.170901\pi$
$53$	−0.258836	−	0.474023i	−0.0355539	−	0.0651121i	−0.894852	+	0.446363i	$0.852719\pi$
$54$	−1.68798	−	2.62655i	−0.229705	−	0.357429i
$55$	3.07456	−	3.25434i	0.414574	−	0.438815i
$56$	−0.333443	−	1.13560i	−0.0445582	−	0.151751i
$57$	0.322235	+	4.50543i	0.0426810	+	0.596759i
$58$	−0.488137	−	6.82505i	−0.0640956	−	0.896173i
$59$	−3.65243	−	12.4390i	−0.475506	−	1.61943i	−0.752527	−	0.658562i	$-0.771165\pi$
$59$	−3.65243	−	12.4390i	−0.475506	−	1.61943i	0.277020	−	0.960864i	$-0.410653\pi$
$60$	0.135191	+	4.75920i	0.0174531	+	0.614411i
$61$	−7.12877	−	11.0926i	−0.912745	−	1.42026i	−0.907397	−	0.420274i	$-0.861934\pi$
$61$	−7.12877	−	11.0926i	−0.912745	−	1.42026i	−0.00534774	−	0.999986i	$-0.501702\pi$
$62$	2.43953	+	4.46766i	0.309820	+	0.567393i
$63$	1.08778	−	1.45311i	0.137048	−	0.183074i
$64$	−0.909632	−	0.415415i	−0.113704	−	0.0519269i
$65$	−0.775176	−	0.467619i	−0.0961488	−	0.0580010i
$66$	−2.30482	+	3.58637i	−0.283704	+	0.441451i
$67$	−1.46764	−	0.104967i	−0.179300	−	0.0128238i	−0.0185997	−	0.999827i	$-0.505921\pi$
$67$	−1.46764	−	0.104967i	−0.179300	−	0.0128238i	−0.160701	+	0.987003i	$0.551375\pi$
$68$	−0.140593	−	0.140593i	−0.0170493	−	0.0170493i
$69$	−3.64931	+	9.53712i	−0.439326	+	1.14813i
$70$	2.45236	−	0.994888i	0.293114	−	0.118912i
$71$	−8.17937	−	9.43950i	−0.970713	−	1.12026i	−0.992713	−	0.120504i	$-0.961549\pi$
$71$	−8.17937	−	9.43950i	−0.970713	−	1.12026i	0.0220000	−	0.999758i	$-0.492997\pi$
$72$	−0.326003	−	1.49861i	−0.0384198	−	0.176613i
$73$	7.93925	+	10.6056i	0.929219	+	1.24129i	0.970243	+	0.242133i	$0.0778470\pi$
$73$	7.93925	+	10.6056i	0.929219	+	1.24129i	−0.0410243	+	0.999158i	$0.513062\pi$
$74$	−2.47407	+	5.41745i	−0.287604	+	0.629766i
$75$	−10.5588	+	1.36108i	−1.21923	+	0.157164i
$76$	0.597663	−	2.03545i	0.0685567	−	0.233483i
$77$	2.31552	+	0.503710i	0.263878	+	0.0574031i
$78$	0.807695	+	0.301255i	0.0914535	+	0.0341104i
$79$	13.4642	−	3.95345i	1.51484	−	0.444797i	0.584469	−	0.811416i	$-0.301303\pi$
$79$	13.4642	−	3.95345i	1.51484	−	0.444797i	0.930371	+	0.366618i	$0.119485\pi$
$80$	0.721621	−	2.11643i	0.0806797	−	0.236624i
$81$	−7.36644	+	8.50133i	−0.818493	+	0.944592i
$82$	−0.0231054	−	0.0126165i	−0.00255156	−	0.00139326i
$83$	−0.979148	+	2.62520i	−0.107475	+	0.288153i	−0.979544	−	0.201231i	$-0.935506\pi$
$83$	−0.979148	+	2.62520i	−0.107475	+	0.288153i	0.872068	+	0.489384i	$0.162778\pi$
$84$	−2.12000	+	1.36244i	−0.231311	+	0.148655i
$85$	0.281488	−	0.344132i	0.0305317	−	0.0373264i
$86$	−6.82987	+	0.981986i	−0.736483	+	0.105890i
$87$	−13.6507	+	5.09145i	−1.46351	+	0.545860i
$88$	1.60283	−	1.19986i	0.170862	−	0.127906i
$89$	−1.06577	−	0.684929i	−0.112971	−	0.0726023i	0.482935	−	0.875656i	$-0.339571\pi$
$89$	−1.06577	−	0.684929i	−0.112971	−	0.0726023i	−0.595906	+	0.803054i	$0.703207\pi$
$90$	3.26169	−	1.05921i	0.343813	−	0.111650i
$91$		−	0.479172i		−	0.0502309i
$92$	3.17114	−	3.59776i	0.330614	−	0.375093i
$93$	7.66397	−	7.66397i	0.794717	−	0.794717i
$94$	4.00820	−	3.47312i	0.413414	−	0.358225i
$95$	4.66192	+	0.876295i	0.478303	+	0.0899060i
$96$	−0.303022	+	2.10757i	−0.0309271	+	0.215103i
$97$	2.50848	+	6.72549i	0.254697	+	0.682870i	0.999872	+	0.0160008i	$0.00509344\pi$
$97$	2.50848	+	6.72549i	0.254697	+	0.682870i	−0.745175	+	0.666870i	$0.767634\pi$
$98$	−4.48241	−	3.35549i	−0.452792	−	0.338956i
$99$	2.94628	+	0.865107i	0.296113	+	0.0869465i
$100$	4.86969	+	1.13405i	0.486969	+	0.113405i
$101$	1.33545	+	2.92424i	0.132883	+	0.290972i	0.964363	−	0.264581i	$-0.0852337\pi$
$101$	1.33545	+	2.92424i	0.132883	+	0.290972i	−0.831481	+	0.555553i	$0.812506\pi$
$102$	−0.202891	+	0.371567i	−0.0200892	+	0.0367906i
$103$	17.1886	−	1.22935i	1.69364	−	0.121132i	0.809123	−	0.587639i	$-0.199943\pi$
$103$	17.1886	−	1.22935i	1.69364	−	0.121132i	0.884517	+	0.466508i	$0.154488\pi$
$104$	−0.305974	−	0.265128i	−0.0300032	−	0.0259979i
$105$	−3.50366	−	4.41335i	−0.341922	−	0.430699i
$106$	0.491280	−	0.224360i	0.0477174	−	0.0217918i
$107$	0.982491	−	4.51644i	0.0949809	−	0.436620i	−0.904957	−	0.425502i	$-0.860097\pi$
$107$	0.982491	−	4.51644i	0.0949809	−	0.436620i	0.999938	−	0.0111179i	$-0.00353900\pi$
$108$	2.74028	−	1.49631i	0.263684	−	0.143982i
$109$	2.12492	+	14.7792i	0.203531	+	1.41559i	0.793701	+	0.608309i	$0.208152\pi$
$109$	2.12492	+	14.7792i	0.203531	+	1.41559i	−0.590170	+	0.807279i	$0.700939\pi$
$110$	3.02671	+	3.29889i	0.288586	+	0.314537i
$111$	12.5519	+	1.80469i	1.19138	+	0.171294i
$112$	1.15650	−	0.251581i	0.109279	−	0.0237721i
$113$	−0.161853	+	2.26301i	−0.0152259	+	0.212886i	0.984143	+	0.177375i	$0.0567604\pi$
$113$	−0.161853	+	2.26301i	−0.0152259	+	0.212886i	−0.999369	+	0.0355111i	$0.988694\pi$
$114$	−4.51694			−0.423050
$115$	8.71130	+	6.25406i	0.812333	+	0.583194i
$116$	6.84249			0.635309
$117$	0.0442959	−	0.619338i	0.00409516	−	0.0572578i
$118$	12.6679	−	2.75574i	1.16618	−	0.253686i
$119$	0.232926	+	0.0334898i	0.0213523	+	0.00307000i
$120$	−4.75672	−	0.204671i	−0.434227	−	0.0186838i
$121$	−0.994961	−	6.92011i	−0.0904510	−	0.629100i
$122$	11.5729	−	6.31927i	1.04776	−	0.572120i
$123$	−0.0119150	+	0.0547724i	−0.00107434	+	0.00493866i
$124$	−4.63031	+	2.11459i	−0.415814	+	0.189896i
$125$	−1.43831	+	11.0874i	−0.128646	+	0.991691i
$126$	1.37180	+	1.18867i	0.122210	+	0.105895i
$127$	−0.226649	+	0.0162103i	−0.0201119	+	0.00143843i	−0.0813915	−	0.996682i	$-0.525936\pi$
$127$	−0.226649	+	0.0162103i	−0.0201119	+	0.00143843i	0.0612796	+	0.998121i	$0.480482\pi$
$128$	0.479249	−	0.877679i	0.0423600	−	0.0775766i
$129$	6.10326	+	13.3643i	0.537362	+	1.17666i
$130$	0.521728	−	0.739842i	0.0457586	−	0.0648884i
$131$	11.5790	+	3.39990i	1.01166	+	0.297051i	0.745233	−	0.666804i	$-0.232338\pi$
$131$	11.5790	+	3.39990i	1.01166	+	0.297051i	0.266428	+	0.963855i	$0.414156\pi$
$132$	−3.41281	−	2.55480i	−0.297047	−	0.222366i
$133$	0.877419	+	2.35245i	0.0760819	+	0.203983i
$134$	0.209400	−	1.45641i	0.0180894	−	0.125815i
$135$	3.93969	+	5.76361i	0.339075	+	0.496052i
$136$	0.150264	−	0.130205i	0.0128850	−	0.0111649i
$137$	−13.0950	+	13.0950i	−1.11879	+	1.11879i	−0.126865	+	0.991920i	$0.540492\pi$
$137$	−13.0950	+	13.0950i	−1.11879	+	1.11879i	−0.991920	+	0.126865i	$0.959508\pi$
$138$	−9.25248	−	4.32039i	−0.787624	−	0.367776i
$139$		−	18.3770i		−	1.55872i	−0.626578	−	0.779359i	$-0.715545\pi$
$139$		−	18.3770i		−	1.55872i	0.626578	−	0.779359i	$-0.284455\pi$
$140$	0.817404	+	2.51709i	0.0690832	+	0.212733i
$141$	−9.49998	−	6.10527i	−0.800043	−	0.514156i
$142$	9.99896	−	7.48513i	0.839094	−	0.628138i
$143$	0.759498	−	0.283278i	0.0635124	−	0.0236889i
$144$	1.51805	−	0.218263i	0.126504	−	0.0181885i
$145$	1.52441	+	15.2241i	0.126595	+	1.26430i
$146$	−11.1450	+	7.16243i	−0.922363	+	0.592767i
$147$	−4.16634	+	11.1704i	−0.343634	+	0.921318i
$148$	−5.22715	−	2.85424i	−0.429669	−	0.234617i
$149$	1.48811	−	1.71737i	0.121911	−	0.140692i	−0.691513	−	0.722364i	$-0.743056\pi$
$149$	1.48811	−	1.71737i	0.121911	−	0.140692i	0.813424	+	0.581672i	$0.197601\pi$
$150$	−0.604351	−	10.6290i	−0.0493450	−	0.867857i
$151$	6.77317	−	1.98878i	0.551193	−	0.161845i	0.00573571	−	0.999984i	$-0.498174\pi$
$151$	6.77317	−	1.98878i	0.551193	−	0.161845i	0.545457	+	0.838139i	$0.316356\pi$
$152$	1.98763	+	0.741348i	0.161218	+	0.0601313i
$153$	0.297966	+	0.0648184i	0.0240891	+	0.00524026i
$154$	−0.667614	+	2.27368i	−0.0537979	+	0.183219i
$155$	−5.73641	−	9.83107i	−0.460760	−	0.789651i
$156$	−0.358108	+	0.784146i	−0.0286715	+	0.0627819i
$157$	−6.64926	−	8.88237i	−0.530669	−	0.708891i	0.452464	−	0.891783i	$-0.350545\pi$
$157$	−6.64926	−	8.88237i	−0.530669	−	0.708891i	−0.983133	+	0.182892i	$0.941454\pi$
$158$	2.98285	+	13.7119i	0.237303	+	1.09086i
$159$	−0.753073	−	0.869093i	−0.0597226	−	0.0689235i
$160$	2.05955	+	0.870767i	0.162822	+	0.0688401i
$161$	−0.452784	+	5.65799i	−0.0356844	+	0.445912i
$162$	−7.95415	−	7.95415i	−0.624937	−	0.624937i
$163$	−13.0546	−	0.933684i	−1.02252	−	0.0731318i	−0.450003	−	0.893027i	$-0.648577\pi$
$163$	−13.0546	−	0.933684i	−1.02252	−	0.0731318i	−0.572513	+	0.819896i	$0.694031\pi$
$164$	0.0142327	−	0.0221465i	0.00111138	−	0.00172935i
$165$	4.92395	−	8.16247i	0.383329	−	0.635447i
$166$	−2.54866	−	1.16393i	−0.197814	−	0.0903387i
$167$	9.14716	−	12.2192i	0.707829	−	0.945549i	−0.292112	−	0.956384i	$-0.594358\pi$
$167$	9.14716	−	12.2192i	0.707829	−	0.945549i	0.999941	+	0.0108353i	$0.00344906\pi$
$168$	−1.20773	−	2.21180i	−0.0931785	−	0.170644i
$169$	6.93971	+	10.7984i	0.533824	+	0.830646i
$170$	0.323174	+	0.305321i	0.0247863	+	0.0234171i
$171$	0.916612	+	3.12169i	0.0700951	+	0.238722i
$172$	−0.492247	−	6.88252i	−0.0375335	−	0.524787i
$173$	0.658430	+	9.20605i	0.0500595	+	0.699923i	0.959073	+	0.283157i	$0.0913818\pi$
$173$	0.658430	+	9.20605i	0.0500595	+	0.699923i	−0.909014	+	0.416766i	$0.863164\pi$
$174$	−4.10464	−	13.9791i	−0.311172	−	1.05976i
$175$	−5.41827	+	2.37945i	−0.409583	+	0.179869i
$176$	1.08246	+	1.68434i	0.0815936	+	0.126962i
$177$	−13.2291	−	24.2273i	−0.994362	−	1.82104i
$178$	0.759215	−	1.01419i	0.0569055	−	0.0760169i
$179$	−17.3758	−	7.93526i	−1.29873	−	0.593109i	−0.358461	−	0.933545i	$-0.616698\pi$
$179$	−17.3758	−	7.93526i	−1.29873	−	0.593109i	−0.940268	+	0.340435i	$0.889426\pi$
$180$	0.823822	+	3.32895i	0.0614040	+	0.248125i
$181$	11.2136	−	17.4486i	0.833497	−	1.29695i	−0.119152	−	0.992876i	$-0.538018\pi$
$181$	11.2136	−	17.4486i	0.833497	−	1.29695i	0.952649	−	0.304071i	$-0.0983461\pi$
$182$	0.477951	+	0.0341837i	0.0354281	+	0.00253387i
$183$	−19.8525	−	19.8525i	−1.46754	−	1.46754i
$184$	3.36237	+	3.41972i	0.247877	+	0.252105i
$185$	5.18598	−	12.2660i	0.381281	−	0.901813i
$186$	7.09770	+	8.19119i	0.520429	+	0.600607i
$187$	0.0846200	+	0.388992i	0.00618803	+	0.0284459i
$188$	3.17833	+	4.24576i	0.231804	+	0.309654i
$189$	−1.53506	+	3.36132i	−0.111659	+	0.244500i
$190$	−1.20664	+	4.58753i	−0.0875389	+	0.332814i
$191$	−1.86710	+	6.35876i	−0.135099	+	0.460104i	−0.999055	−	0.0434627i	$-0.986161\pi$
$191$	−1.86710	+	6.35876i	−0.135099	+	0.460104i	0.863956	+	0.503567i	$0.167979\pi$
$192$	−2.08058	−	0.452602i	−0.150153	−	0.0326638i
$193$	−17.5881	−	6.56001i	−1.26602	−	0.472200i	−0.375362	−	0.926878i	$-0.622481\pi$
$193$	−17.5881	−	6.56001i	−1.26602	−	0.472200i	−0.890656	+	0.454678i	$0.849754\pi$
$194$	−6.88731	+	2.02230i	−0.494480	+	0.145192i
$195$	−1.82446	−	0.622072i	−0.130652	−	0.0445475i
$196$	3.66671	−	4.23161i	0.261908	−	0.302258i
$197$	6.62474	+	3.61738i	0.471993	+	0.257728i	0.697596	−	0.716492i	$-0.254253\pi$
$197$	6.62474	+	3.61738i	0.471993	+	0.257728i	−0.225603	+	0.974219i	$0.572435\pi$
$198$	−1.07309	+	2.87706i	−0.0762610	+	0.204464i
$199$	12.1004	−	7.77646i	0.857775	−	0.551259i	−0.0362157	−	0.999344i	$-0.511530\pi$
$199$	12.1004	−	7.77646i	0.857775	−	0.551259i	0.893991	+	0.448085i	$0.147894\pi$
$200$	−1.47856	+	4.77638i	−0.104550	+	0.337741i
$201$	−3.10104	+	0.445863i	−0.218731	+	0.0314487i
$202$	−3.01206	+	1.12344i	−0.211927	+	0.0790449i
$203$	−6.48310	+	4.85318i	−0.455024	+	0.340627i
$204$	−0.356146	−	0.228881i	−0.0249352	−	0.0160249i
$205$	0.0524454	+	0.0267329i	0.00366295	+	0.00186711i
$206$			17.2325i			1.20064i
$207$	−1.10827	+	7.27120i	−0.0770301	+	0.505383i
$208$	0.286281	−	0.286281i	0.0198500	−	0.0198500i
$209$	−3.20997	+	2.78146i	−0.222038	+	0.192397i
$210$	4.65205	−	3.17989i	0.321022	−	0.219433i
$211$	0.292672	−	2.03558i	0.0201484	−	0.140135i	−0.977264	−	0.212025i	$-0.931994\pi$
$211$	0.292672	−	2.03558i	0.0201484	−	0.140135i	0.997413	+	0.0718903i	$0.0229031\pi$
$212$	0.188741	+	0.506034i	0.0129628	+	0.0347546i
$213$	−21.2902	−	15.9376i	−1.45878	−	1.09203i
$214$	4.43484	+	1.30219i	0.303159	+	0.0890156i
$215$	15.2035	−	2.62855i	1.03687	−	0.179266i
$216$	1.29700	+	2.84004i	0.0882500	+	0.193240i
$217$	2.88729	−	5.28768i	0.196002	−	0.358951i
$218$	−14.8931	+	1.06518i	−1.00869	+	0.0721428i
$219$	21.3184	+	18.4725i	1.44056	+	1.24825i
$220$	−3.50641	+	2.78366i	−0.236402	+	0.187674i
$221$	0.0732234	−	0.0334400i	0.00492554	−	0.00224942i
$222$	−2.69554	+	12.3912i	−0.180913	+	0.831643i
$223$	−15.8632	+	8.66196i	−1.06228	+	0.580048i	−0.912670	−	0.408697i	$-0.865983\pi$
$223$	−15.8632	+	8.66196i	−1.06228	+	0.580048i	−0.149608	+	0.988745i	$0.547801\pi$
$224$	0.168436	+	1.17150i	0.0112541	+	0.0782740i
$225$	−7.22317	+	2.57460i	−0.481545	+	0.171640i
$226$	−2.24569	−	0.322882i	−0.149381	−	0.0214778i
$227$	16.2662	−	3.53850i	1.07963	−	0.234859i	0.362629	−	0.931933i	$-0.381879\pi$
$227$	16.2662	−	3.53850i	1.07963	−	0.234859i	0.716998	+	0.697075i	$0.245515\pi$
$228$	0.322235	−	4.50543i	0.0213405	−	0.298379i
$229$	−16.6625			−1.10109			−0.550544	−	0.834806i	$-0.685580\pi$
$229$	−16.6625			−1.10109			−0.550544	+	0.834806i	$0.685580\pi$
$230$	−6.85958	+	8.24294i	−0.452308	+	0.543524i
$231$	5.04560			0.331976
$232$	−0.488137	+	6.82505i	−0.0320478	+	0.448087i
$233$	18.0876	−	3.93472i	1.18496	−	0.257772i	0.423446	−	0.905921i	$-0.360820\pi$
$233$	18.0876	−	3.93472i	1.18496	−	0.257772i	0.761514	+	0.648149i	$0.224457\pi$
$234$	0.614600	+	0.0883662i	0.0401777	+	0.00577668i
$235$	−8.73847	+	8.01750i	−0.570035	+	0.523004i
$236$	1.84500	+	12.8322i	0.120099	+	0.835307i
$237$	26.2240	−	14.3194i	1.70343	−	0.930144i
$238$	−0.0500212	+	0.229944i	−0.00324239	+	0.0149050i
$239$	9.39164	−	4.28902i	0.607495	−	0.277434i	−0.0878228	−	0.996136i	$-0.527991\pi$
$239$	9.39164	−	4.28902i	0.607495	−	0.277434i	0.695318	+	0.718702i	$0.255264\pi$
$240$	0.543490	−	4.73000i	0.0350821	−	0.305320i
$241$	2.00570	+	1.73795i	0.129198	+	0.111951i	0.717063	−	0.697008i	$-0.245486\pi$
$241$	2.00570	+	1.73795i	0.129198	+	0.111951i	−0.587865	+	0.808959i	$0.700031\pi$
$242$	6.97345	−	0.498751i	0.448271	−	0.0320609i
$243$	−6.98983	+	12.8009i	−0.448398	+	0.821179i
$244$	5.47757	+	11.9942i	0.350665	+	0.767850i
$245$	10.2320	+	7.21547i	0.653697	+	0.460980i
$246$	−0.0537829	−	0.0157921i	−0.00342907	−	0.00100687i
$247$	0.687559	+	0.514700i	0.0437483	+	0.0327496i
$248$	−1.77888	−	4.76937i	−0.112959	−	0.302855i
$249$	−0.849025	+	5.90510i	−0.0538048	+	0.374220i
$250$	−10.9566	−	2.22561i	−0.692955	−	0.140760i
$251$	−2.40219	+	2.08151i	−0.151625	+	0.131384i	−0.727370	−	0.686246i	$-0.759257\pi$
$251$	−2.40219	+	2.08151i	−0.151625	+	0.131384i	0.575745	+	0.817629i	$0.304712\pi$
$252$	−1.28351	+	1.28351i	−0.0808534	+	0.0808534i
$253$	−9.23572	+	2.62723i	−0.580645	+	0.165173i
$254$		−	0.227228i		−	0.0142576i
$255$	0.429903	−	0.843397i	0.0269216	−	0.0528156i
$256$	0.841254	+	0.540641i	0.0525783	+	0.0337901i
$257$	−2.02021	+	1.51231i	−0.126018	+	0.0943355i	−0.660427	−	0.750890i	$-0.729625\pi$
$257$	−2.02021	+	1.51231i	−0.126018	+	0.0943355i	0.534410	+	0.845226i	$0.320534\pi$
$258$	−13.7656	+	5.13431i	−0.857011	+	0.319648i
$259$	6.97703	−	1.00315i	0.433532	−	0.0623324i
$260$	0.700737	+	0.573178i	0.0434579	+	0.0355470i
$261$	−8.82815	+	5.67351i	−0.546449	+	0.351181i
$262$	−4.21727	+	11.3069i	−0.260544	+	0.698545i
$263$	−21.7044	−	11.8515i	−1.33835	−	0.730794i	−0.359071	−	0.933310i	$-0.616906\pi$
$263$	−21.7044	−	11.8515i	−1.33835	−	0.730794i	−0.979279	+	0.202516i	$0.935088\pi$
$264$	2.79175	−	3.22185i	0.171821	−	0.198291i
$265$	−1.08385	+	0.532675i	−0.0665803	+	0.0327220i
$266$	−2.40905	+	0.707361i	−0.147708	+	0.0433711i
$267$	−2.52742	−	0.942679i	−0.154676	−	0.0576910i
$268$	1.43776	+	0.312765i	0.0878251	+	0.0191052i
$269$	3.19355	−	10.8762i	0.194714	−	0.663136i	−0.803026	−	0.595944i	$-0.796778\pi$
$269$	3.19355	−	10.8762i	0.194714	−	0.663136i	0.997740	−	0.0671917i	$-0.0214039\pi$
$270$	−6.02998	+	3.51848i	−0.366973	+	0.214128i
$271$	5.66163	−	12.3972i	0.343920	−	0.753079i	−0.656079	−	0.754692i	$-0.727786\pi$
$271$	5.66163	−	12.3972i	0.343920	−	0.753079i	0.999999	+	0.00161319i	$0.000513495\pi$
$272$	0.119153	+	0.159170i	0.00722472	+	0.00965109i
$273$	−0.216874	−	0.996956i	−0.0131258	−	0.0603385i
$274$	−12.1275	−	13.9959i	−0.732649	−	0.845521i
$275$	−6.97466	−	7.18139i	−0.420588	−	0.433054i
$276$	4.96944	−	8.92070i	0.299125	−	0.536963i
$277$	−8.18053	−	8.18053i	−0.491521	−	0.491521i	0.417264	−	0.908785i	$-0.362989\pi$
$277$	−8.18053	−	8.18053i	−0.491521	−	0.491521i	−0.908785	+	0.417264i	$0.862989\pi$
$278$	18.3302	+	1.31100i	1.09937	+	0.0786286i
$279$	4.22068	−	6.56750i	0.252685	−	0.393186i
$280$	−2.56899	+	0.635754i	−0.153527	+	0.0379936i
$281$	−7.80132	−	3.56274i	−0.465388	−	0.212536i	0.168899	−	0.985633i	$-0.445979\pi$
$281$	−7.80132	−	3.56274i	−0.465388	−	0.212536i	−0.634287	+	0.773098i	$0.718706\pi$
$282$	6.76743	−	9.04023i	0.402995	−	0.538338i
$283$	7.31169	+	13.3904i	0.434635	+	0.795974i	0.999575	−	0.0291578i	$-0.00928252\pi$
$283$	7.31169	+	13.3904i	0.434635	+	0.795974i	−0.564940	+	0.825132i	$0.691101\pi$
$284$	6.75274	+	10.5075i	0.400701	+	0.623503i
$285$	10.0961	−	0.286793i	0.598042	−	0.0169882i
$286$	0.228374	+	0.777772i	0.0135041	+	0.0459906i
$287$	0.00222275	+	0.0310781i	0.000131205	+	0.00183448i
$288$	0.109410	+	1.52975i	0.00644705	+	0.0901415i
$289$	−4.77832	−	16.2734i	−0.281077	−	0.957262i
$290$	−15.2941	+	0.434449i	−0.898100	+	0.0255117i
$291$	8.26306	+	12.8576i	0.484389	+	0.753725i
$292$	−6.34911	−	11.6275i	−0.371553	−	0.680449i
$293$	19.4945	−	26.0416i	1.13888	−	1.52137i	0.319989	−	0.947421i	$-0.396321\pi$
$293$	19.4945	−	26.0416i	1.13888	−	1.52137i	0.818893	−	0.573946i	$-0.194588\pi$
$294$	−10.8447	−	4.95261i	−0.632476	−	0.288842i
$295$	−28.1399	+	6.96385i	−1.63837	+	0.405451i
$296$	3.21987	−	5.01021i	0.187151	−	0.291213i
$297$	−6.23526	−	0.445955i	−0.361807	−	0.0258769i
$298$	1.60683	+	1.60683i	0.0930813	+	0.0930813i
$299$	0.916091	+	1.71195i	0.0529789	+	0.0990047i
$300$	10.6451	+	0.155455i	0.614593	+	0.00897522i
$301$	5.34797	+	6.17189i	0.308252	+	0.355742i
$302$	1.50052	+	6.89779i	0.0863454	+	0.396923i
$303$	4.10203	+	5.47968i	0.235656	+	0.314799i
$304$	−0.881255	+	1.92968i	−0.0505435	+	0.110675i
$305$	−25.4661	+	14.8594i	−1.45818	+	0.850847i
$306$	−0.0859099	+	0.292582i	−0.00491114	+	0.0167258i
$307$	3.91598	+	0.851870i	0.223497	+	0.0486188i	0.322919	−	0.946427i	$-0.395336\pi$
$307$	3.91598	+	0.851870i	0.223497	+	0.0486188i	−0.0994222	+	0.995045i	$0.531699\pi$
$308$	−2.22026	−	0.828116i	−0.126511	−	0.0471863i
$309$	35.2058	−	10.3374i	2.00279	−	0.588071i
$310$	10.2153	−	5.02046i	0.580187	−	0.285143i
$311$	−19.2384	+	22.2023i	−1.09091	+	1.25898i	−0.127245	+	0.991871i	$0.540613\pi$
$311$	−19.2384	+	22.2023i	−1.09091	+	1.25898i	−0.963667	+	0.267107i	$0.913932\pi$
$312$	−0.756601	−	0.413135i	−0.0428341	−	0.0233892i
$313$	9.56277	−	25.6388i	0.540520	−	1.44919i	−0.323741	−	0.946146i	$-0.604941\pi$
$313$	9.56277	−	25.6388i	0.540520	−	1.44919i	0.864261	−	0.503044i	$-0.167787\pi$
$314$	9.33410	−	5.99866i	0.526754	−	0.338524i
$315$	−3.14168	−	2.56978i	−0.177014	−	0.144791i
$316$	−13.8898	+	1.99705i	−0.781362	+	0.112343i
$317$	22.9209	−	8.54906i	1.28737	−	0.480163i	0.389743	−	0.920924i	$-0.372564\pi$
$317$	22.9209	−	8.54906i	1.28737	−	0.480163i	0.897625	+	0.440760i	$0.145291\pi$
$318$	0.920602	−	0.689154i	0.0516248	−	0.0386458i
$319$	−11.5251	−	7.40673i	−0.645281	−	0.414697i
$320$	−1.01547	+	1.99219i	−0.0567668	+	0.111367i
$321$		−	9.84148i		−	0.549298i
$322$	−5.61128	−	0.855267i	−0.312704	−	0.0476622i
$323$	−0.298251	+	0.298251i	−0.0165951	+	0.0165951i
$324$	8.50133	−	7.36644i	0.472296	−	0.409247i
$325$	−1.11917	+	1.68679i	−0.0620806	+	0.0935665i
$326$	1.86261	−	12.9547i	0.103160	−	0.717497i
$327$	11.1102	+	29.7875i	0.614393	+	1.64725i
$328$	0.0210747	+	0.0157763i	0.00116366	+	0.000871102i
$329$	−6.02279	−	1.76845i	−0.332047	−	0.0974979i
$330$	7.79040	+	5.49370i	0.428848	+	0.302418i
$331$	2.75213	+	6.02632i	0.151271	+	0.331237i	0.970063	−	0.242853i	$-0.0780833\pi$
$331$	2.75213	+	6.02632i	0.151271	+	0.331237i	−0.818792	+	0.574090i	$0.805356\pi$
$332$	1.34279	−	2.45913i	0.0736950	−	0.134962i
$333$	9.11067	−	0.651608i	0.499261	−	0.0357079i
$334$	11.5355	+	9.99557i	0.631194	+	0.546933i
$335$	−0.375572	+	3.26861i	−0.0205197	+	0.178583i
$336$	2.29232	−	1.04687i	0.125056	−	0.0571113i
$337$	−5.19448	+	23.8786i	−0.282961	+	1.30075i	0.587784	+	0.809018i	$0.300000\pi$
$337$	−5.19448	+	23.8786i	−0.282961	+	1.30075i	−0.870745	+	0.491734i	$0.836363\pi$
$338$	−11.2660	+	6.15168i	−0.612788	+	0.334607i
$339$	0.687493	+	4.78162i	0.0373395	+	0.259702i
$340$	−0.327598	+	0.300570i	−0.0177665	+	0.0163007i
$341$	10.0880	+	1.45043i	0.546296	+	0.0785454i
$342$	−3.17913	+	0.691578i	−0.171908	+	0.0373962i
$343$	−1.06379	+	14.8738i	−0.0574394	+	0.803107i
$344$	6.90010			0.372028
$345$	20.9552	+	9.06932i	1.12819	+	0.488276i
$346$	−9.22956			−0.496184
$347$	1.43074	−	20.0043i	0.0768060	−	1.07389i	−0.802193	−	0.597064i	$-0.796334\pi$
$347$	1.43074	−	20.0043i	0.0768060	−	1.07389i	0.878999	−	0.476823i	$-0.158212\pi$
$348$	14.2363	−	3.09693i	0.763148	−	0.166013i
$349$	−5.05279	−	0.726482i	−0.270470	−	0.0388877i	0.00574545	−	0.999983i	$-0.498171\pi$
$349$	−5.05279	−	0.726482i	−0.270470	−	0.0388877i	−0.276215	+	0.961096i	$0.589080\pi$
$350$	−1.98685	−	5.57422i	−0.106202	−	0.297954i
$351$	0.179894	+	1.25119i	0.00960202	+	0.0667835i
$352$	−1.75727	+	0.959544i	−0.0936630	+	0.0511439i
$353$	−7.81344	+	35.9178i	−0.415867	+	1.91171i	−0.00506422	+	0.999987i	$0.501612\pi$
$353$	−7.81344	+	35.9178i	−0.415867	+	1.91171i	−0.410803	+	0.911724i	$0.634752\pi$
$354$	25.1093	−	11.4671i	1.33455	−	0.609467i
$355$	−21.8741	+	17.3654i	−1.16096	+	0.921658i
$356$	0.957446	+	0.829632i	0.0507445	+	0.0439704i
$357$	0.499780	−	0.0357449i	0.0264511	−	0.00189182i
$358$	9.15462	−	16.7654i	0.483837	−	0.886081i
$359$	−5.91797	−	12.9585i	−0.312338	−	0.683925i	0.686738	−	0.726905i	$-0.259042\pi$
$359$	−5.91797	−	12.9585i	−0.312338	−	0.683925i	−0.999076	+	0.0429799i	$0.986315\pi$
$360$	−3.37923	+	0.584238i	−0.178101	+	0.0307921i
$361$	13.9124	+	4.08504i	0.732231	+	0.215002i
$362$	16.6042	+	12.4298i	0.872698	+	0.653294i
$363$	−5.20215	−	13.9475i	−0.273042	−	0.732054i
$364$	−0.0681933	+	0.474295i	−0.00357430	+	0.0248598i
$365$	24.4561	−	16.7168i	1.28009	−	0.874999i
$366$	21.2182	−	18.3857i	1.10909	−	0.961033i
$367$	−9.35829	+	9.35829i	−0.488499	+	0.488499i	−0.907832	−	0.419333i	$-0.862264\pi$
$367$	−9.35829	+	9.35829i	−0.488499	+	0.488499i	0.419333	+	0.907832i	$0.362264\pi$
$368$	−3.65087	+	3.10984i	−0.190315	+	0.162112i
$369$			0.0403744i			0.00210181i
$370$	11.8648	+	6.04781i	0.616820	+	0.314411i
$371$	−0.537744	−	0.345587i	−0.0279183	−	0.0179420i
$372$	−8.67666	+	6.49527i	−0.449864	+	0.336764i
$373$	27.6824	−	10.3250i	1.43334	−	0.534609i	0.491563	−	0.870842i	$-0.336426\pi$
$373$	27.6824	−	10.3250i	1.43334	−	0.534609i	0.941779	+	0.336233i	$0.109153\pi$
$374$	−0.394038	+	0.0566541i	−0.0203752	+	0.00292951i
$375$	2.02569	+	23.7193i	0.104606	+	1.22486i
$376$	−4.46168	+	2.86735i	−0.230094	+	0.147872i
$377$	−0.968107	+	2.59560i	−0.0498601	+	0.133680i
$378$	−3.24324	−	1.77095i	−0.166814	−	0.0910876i
$379$	16.5274	−	19.0736i	0.848955	−	0.979747i	−0.151006	−	0.988533i	$-0.548251\pi$
$379$	16.5274	−	19.0736i	0.848955	−	0.979747i	0.999961	+	0.00878623i	$0.00279678\pi$
$380$	−4.48976	−	1.53084i	−0.230320	−	0.0785302i
$381$	−0.464225	+	0.136309i	−0.0237830	+	0.00698330i
$382$	−6.20937	−	2.31597i	−0.317699	−	0.118496i
$383$	10.7320	+	2.33461i	0.548380	+	0.119293i	0.478215	−	0.878243i	$-0.341284\pi$
$383$	10.7320	+	2.33461i	0.548380	+	0.119293i	0.0701648	+	0.997535i	$0.477647\pi$
$384$	0.599876	−	2.04299i	0.0306123	−	0.104256i
$385$	1.34787	−	5.12445i	0.0686936	−	0.261166i
$386$	7.79802	−	17.0753i	0.396909	−	0.869109i
$387$	6.34180	+	8.47165i	0.322372	+	0.430638i
$388$	−1.52581	−	7.01403i	−0.0774612	−	0.356083i
$389$	−17.5352	−	20.2367i	−0.889070	−	1.02604i	−0.999483	−	0.0321561i	$-0.989763\pi$
$389$	−17.5352	−	20.2367i	−0.889070	−	1.02604i	0.110412	−	0.993886i	$-0.464783\pi$
$390$	0.750642	−	1.77543i	0.0380102	−	0.0899026i
$391$	−0.896209	+	0.325664i	−0.0453233	+	0.0164695i
$392$	3.95925	+	3.95925i	0.199972	+	0.199972i
$393$	25.6298	+	1.83308i	1.29285	+	0.0924667i
$394$	−4.08077	+	6.34980i	−0.205586	+	0.319898i
$395$	−7.53777	−	30.4591i	−0.379266	−	1.53256i
$396$	−2.79318	−	1.27560i	−0.140362	−	0.0641014i
$397$	−2.00778	+	2.68208i	−0.100768	+	0.134610i	−0.848091	−	0.529851i	$-0.822248\pi$
$397$	−2.00778	+	2.68208i	−0.100768	+	0.134610i	0.747323	+	0.664461i	$0.231339\pi$
$398$	6.89341	+	12.6243i	0.345536	+	0.632801i
$399$	2.89026	+	4.49734i	0.144694	+	0.225149i
$400$	−4.65873	−	1.81554i	−0.232937	−	0.0907771i
$401$	0.864728	+	2.94499i	0.0431825	+	0.147066i	0.978262	−	0.207371i	$-0.0664907\pi$
$401$	0.864728	+	2.94499i	0.0431825	+	0.147066i	−0.935080	+	0.354437i	$0.884673\pi$
$402$	−0.223501	−	3.12495i	−0.0111472	−	0.155858i
$403$	−0.147021	−	2.05562i	−0.00732364	−	0.102398i
$404$	−0.905699	−	3.08453i	−0.0450602	−	0.153461i
$405$	18.2839	+	17.2738i	0.908533	+	0.858343i
$406$	−4.37832	−	6.81280i	−0.217292	−	0.338114i
$407$	5.71471	+	10.4657i	0.283267	+	0.518766i
$408$	0.253705	−	0.338911i	0.0125603	−	0.0167786i
$409$	−7.18206	−	3.27994i	−0.355130	−	0.162183i	0.229858	−	0.973224i	$-0.426174\pi$
$409$	−7.18206	−	3.27994i	−0.355130	−	0.162183i	−0.584988	+	0.811042i	$0.698901\pi$
$410$	−0.0304062	+	0.0504047i	−0.00150166	+	0.00248931i
$411$	−21.3184	+	33.1721i	−1.05156	+	1.63626i
$412$	−17.1886	−	1.22935i	−0.846820	−	0.0605658i
$413$	−10.8496	−	10.8496i	−0.533876	−	0.533876i
$414$	−7.17361	−	1.62417i	−0.352564	−	0.0798235i
$415$	5.77057	+	2.43976i	0.283266	+	0.119763i
$416$	0.265128	+	0.305974i	0.0129990	+	0.0150016i
$417$	−8.31748	−	38.2348i	−0.407309	−	1.87237i
$418$	−2.54537	−	3.40022i	−0.124498	−	0.166310i
$419$	−4.12451	+	9.03141i	−0.201495	+	0.441213i	−0.983223	−	0.182406i	$-0.941611\pi$
$419$	−4.12451	+	9.03141i	−0.201495	+	0.441213i	0.781728	+	0.623620i	$0.214339\pi$
$420$	2.83991	+	4.86705i	0.138574	+	0.237488i
$421$	−3.83028	+	13.0447i	−0.186676	+	0.635762i	0.811968	+	0.583703i	$0.198397\pi$
$421$	−3.83028	+	13.0447i	−0.186676	+	0.635762i	−0.998644	+	0.0520590i	$0.983422\pi$
$422$	2.00951	+	0.437143i	0.0978216	+	0.0212798i
$423$	−7.62108	−	2.84252i	−0.370550	−	0.138208i
$424$	−0.518210	+	0.152160i	−0.0251665	+	0.00738955i
$425$	−0.741734	−	0.661924i	−0.0359794	−	0.0321080i
$426$	17.4158	−	20.0989i	0.843800	−	0.973797i
$427$	−13.6970	−	7.47914i	−0.662845	−	0.361941i
$428$	−1.61525	+	4.33064i	−0.0780759	+	0.209329i
$429$	1.45198	−	0.933133i	0.0701024	−	0.0450521i
$430$	1.53725	+	15.3523i	0.0741326	+	0.740355i
$431$	4.03462	−	0.580091i	0.194341	−	0.0279420i	−0.0444570	−	0.999011i	$-0.514156\pi$
$431$	4.03462	−	0.580091i	0.194341	−	0.0279420i	0.238798	+	0.971069i	$0.423247\pi$
$432$	−2.92533	+	1.09109i	−0.140745	+	0.0524953i
$433$	−24.8573	+	18.6079i	−1.19457	+	0.894241i	−0.996303	−	0.0859085i	$-0.972621\pi$
$433$	−24.8573	+	18.6079i	−1.19457	+	0.894241i	−0.198262	+	0.980149i	$0.563530\pi$
$434$	5.06823	+	3.25715i	0.243283	+	0.156348i
$435$	10.0621	+	30.9851i	0.482443	+	1.48562i
$436$		−	14.9311i		−	0.715072i
$437$	−7.63224	−	6.72720i	−0.365100	−	0.321806i
$438$	−19.9462	+	19.9462i	−0.953068	+	0.953068i
$439$	−18.6602	+	16.1691i	−0.890601	+	0.771710i	−0.974411	−	0.224772i	$-0.927836\pi$
$439$	−18.6602	+	16.1691i	−0.890601	+	0.771710i	0.0838105	+	0.996482i	$0.473291\pi$
$440$	−2.52643	−	3.69606i	−0.120443	−	0.176203i
$441$	−1.22210	+	8.49989i	−0.0581953	+	0.404757i
$442$	0.0281311	+	0.0754224i	0.00133806	+	0.00358748i
$443$	−0.884810	−	0.662361i	−0.0420386	−	0.0314697i	0.578052	−	0.816000i	$-0.303813\pi$
$443$	−0.884810	−	0.662361i	−0.0420386	−	0.0314697i	−0.620090	+	0.784530i	$0.712904\pi$
$444$	−12.1673	−	3.57265i	−0.577436	−	0.169551i
$445$	−1.63258	+	2.31509i	−0.0773916	+	0.109746i
$446$	−7.50823	−	16.4407i	−0.355525	−	0.778491i
$447$	2.31884	−	4.24664i	0.109677	−	0.200859i
$448$	−1.18053	+	0.0844331i	−0.0557748	+	0.00398909i
$449$	5.68681	+	4.92765i	0.268377	+	0.232550i	0.778644	−	0.627466i	$-0.215908\pi$
$449$	5.68681	+	4.92765i	0.268377	+	0.232550i	−0.510267	+	0.860016i	$0.670453\pi$
$450$	−2.05274	−	7.38844i	−0.0967672	−	0.348294i
$451$	−0.0479454	+	0.0218959i	−0.00225766	+	0.00103104i
$452$	0.482265	−	2.21694i	0.0226839	−	0.104276i
$453$	13.1920	−	7.20337i	0.619814	−	0.338444i
$454$	2.36907	+	16.4772i	0.111186	+	0.773314i
$455$	−1.07047	−	0.0460599i	−0.0501845	−	0.00215932i
$456$	4.47096	+	0.642827i	0.209372	+	0.0301031i
$457$	10.5229	−	2.28912i	0.492241	−	0.107080i	0.0404082	−	0.999183i	$-0.487134\pi$
$457$	10.5229	−	2.28912i	0.492241	−	0.107080i	0.451832	+	0.892103i	$0.350771\pi$
$458$	1.18869	−	16.6200i	0.0555438	−	0.776604i
$459$	−0.620778			−0.0289754
$460$	−7.73258	−	7.43015i	−0.360534	−	0.346433i
$461$	−41.4447			−1.93027			−0.965135	−	0.261751i	$-0.915700\pi$
$461$	−41.4447			−1.93027			−0.965135	+	0.261751i	$0.915700\pi$
$462$	−0.359949	+	5.03274i	−0.0167463	+	0.234144i
$463$	−1.80985	+	0.393709i	−0.0841110	+	0.0182972i	−0.254424	−	0.967093i	$-0.581886\pi$
$463$	−1.80985	+	0.393709i	−0.0841110	+	0.0182972i	0.170313	+	0.985390i	$0.445522\pi$
$464$	−6.77284	−	0.973787i	−0.314421	−	0.0452069i
$465$	−16.3846	−	17.8580i	−0.759819	−	0.828145i
$466$	2.63434	+	18.3222i	0.122033	+	0.848761i
$467$	28.9167	−	15.7897i	1.33811	−	0.730662i	0.358871	−	0.933387i	$-0.383162\pi$
$467$	28.9167	−	15.7897i	1.33811	−	0.730662i	0.979236	+	0.202726i	$0.0649799\pi$
$468$	−0.131986	+	0.606730i	−0.00610106	+	0.0280461i
$469$	−1.58408	+	0.723425i	−0.0731460	+	0.0334046i
$470$	−7.37368	−	9.28817i	−0.340122	−	0.428431i
$471$	−17.8545	−	15.4710i	−0.822692	−	0.712867i
$472$	−12.9312	+	0.924854i	−0.595205	+	0.0425699i
$473$	−6.62095	+	12.1254i	−0.304431	+	0.557525i
$474$	12.4121	+	27.1787i	0.570107	+	1.24836i
$475$	2.40577	−	10.3305i	0.110384	−	0.473996i
$476$	−0.225790	−	0.0662978i	−0.0103490	−	0.00303875i
$477$	−0.663096	−	0.496388i	−0.0303611	−	0.0227280i
$478$	3.60810	+	9.67369i	0.165031	+	0.442464i
$479$	−3.56848	+	24.8193i	−0.163048	+	1.13402i	0.729799	+	0.683662i	$0.239614\pi$
$479$	−3.56848	+	24.8193i	−0.163048	+	1.13402i	−0.892847	+	0.450361i	$0.851295\pi$
$480$	4.67918	+	0.879540i	0.213574	+	0.0401453i
$481$	1.82227	−	1.57901i	0.0830886	−	0.0719967i
$482$	−1.87660	+	1.87660i	−0.0854769	+	0.0854769i
$483$	1.61877	+	11.9768i	0.0736565	+	0.544965i
$484$			6.99127i			0.317785i
$485$	15.2659	−	4.95746i	0.693188	−	0.225107i
$486$	−12.2697	−	7.88523i	−0.556563	−	0.357681i
$487$	−30.7724	+	23.0359i	−1.39443	+	1.04386i	−0.402726	+	0.915320i	$0.631937\pi$
$487$	−30.7724	+	23.0359i	−1.39443	+	1.04386i	−0.991705	+	0.128538i	$0.958972\pi$
$488$	−12.3544	+	4.60796i	−0.559258	+	0.208592i
$489$	−27.5837	+	3.96594i	−1.24738	+	0.179346i
$490$	−7.92703	+	9.69116i	−0.358107	+	0.437802i
$491$	−2.61519	+	1.68068i	−0.118022	+	0.0758480i	−0.598320	−	0.801257i	$-0.704165\pi$
$491$	−2.61519	+	1.68068i	−0.118022	+	0.0758480i	0.480298	+	0.877105i	$0.340528\pi$
$492$	0.0195887	−	0.0525192i	0.000883125	−	0.00236775i
$493$	−1.19406	−	0.652007i	−0.0537779	−	0.0293649i
$494$	−0.562439	+	0.649089i	−0.0253053	+	0.0292039i
$495$	2.21586	−	6.49884i	0.0995954	−	0.292101i
$496$	4.88412	−	1.43411i	0.219303	−	0.0643933i
$497$	−13.8507	−	5.16605i	−0.621289	−	0.231729i
$498$	−5.82948	−	1.26813i	−0.261225	−	0.0568261i
$499$	−5.80099	+	19.7564i	−0.259688	+	0.884416i	0.721672	+	0.692236i	$0.243374\pi$
$499$	−5.80099	+	19.7564i	−0.259688	+	0.884416i	−0.981360	+	0.192181i	$0.938444\pi$
$500$	3.00157	−	10.7699i	0.134234	−	0.481644i
$501$	13.5010	−	29.5630i	0.603179	−	1.32078i
$502$	−1.90483	−	2.54456i	−0.0850169	−	0.113569i
$503$	2.34407	+	10.7755i	0.104517	+	0.480456i	0.999415	+	0.0341865i	$0.0108840\pi$
$503$	2.34407	+	10.7755i	0.104517	+	0.480456i	−0.894899	+	0.446269i	$0.852752\pi$
$504$	−1.18867	−	1.37180i	−0.0529477	−	0.0611050i
$505$	6.66111	−	2.70232i	0.296416	−	0.120251i
$506$	−1.96167	−	9.39961i	−0.0872070	−	0.417864i
$507$	19.3260	+	19.3260i	0.858298	+	0.858298i
$508$	0.226649	+	0.0162103i	0.0100559	+	0.000719214i
$509$	−13.4035	+	20.8563i	−0.594102	+	0.924440i	0.405843	+	0.913943i	$0.366978\pi$
$509$	−13.4035	+	20.8563i	−0.594102	+	0.924440i	−0.999945	+	0.0104974i	$0.996659\pi$
$510$	0.810579	+	0.488975i	0.0358930	+	0.0216522i
$511$	14.2627	+	6.51356i	0.630945	+	0.288143i
$512$	−0.599278	+	0.800541i	−0.0264846	+	0.0353793i
$513$	−3.17424	−	5.81319i	−0.140146	−	0.256659i
$514$	−1.36434	−	2.12295i	−0.0601785	−	0.0936395i
$515$	−1.09414	−	38.5175i	−0.0482135	−	1.69728i
$516$	−4.13920	−	14.0968i	−0.182218	−	0.620578i
$517$	−0.757536	−	10.5917i	−0.0333164	−	0.465824i
$518$	0.502854	+	7.03082i	0.0220941	+	0.308916i
$519$	5.53659	+	18.8559i	0.243029	+	0.827682i
$520$	−0.621708	+	0.658061i	−0.0272637	+	0.0288579i
$521$	8.11785	+	12.6316i	0.355650	+	0.553401i	0.972271	−	0.233859i	$-0.0751353\pi$
$521$	8.11785	+	12.6316i	0.355650	+	0.553401i	−0.616621	+	0.787260i	$0.711499\pi$
$522$	−5.02926	−	9.21040i	−0.220125	−	0.403128i
$523$	17.2952	−	23.1036i	0.756264	−	1.01025i	−0.242927	−	0.970045i	$-0.578108\pi$
$523$	17.2952	−	23.1036i	0.756264	−	1.01025i	0.999191	−	0.0402062i	$-0.0128015\pi$
$524$	−10.9773	−	5.01316i	−0.479545	−	0.219001i
$525$	−10.1962	+	7.40295i	−0.444999	+	0.323091i
$526$	13.3697	−	20.8036i	0.582945	−	0.907081i
$527$	1.00952	+	0.0722021i	0.0439753	+	0.00314517i
$528$	3.01448	+	3.01448i	0.131189	+	0.131189i
$529$	−9.19939	−	21.0801i	−0.399974	−	0.916527i
$530$	−0.453997	−	1.11909i	−0.0197204	−	0.0486101i
$531$	−13.0204	−	15.0263i	−0.565036	−	0.652086i
$532$	−0.533699	−	2.45338i	−0.0231388	−	0.106367i
$533$	0.00638723	+	0.00853234i	0.000276662	+	0.000369577i
$534$	1.12058	−	2.45373i	0.0484923	−	0.106183i
$535$	−9.99528	−	2.62902i	−0.432134	−	0.113663i
$536$	−0.414537	+	1.41178i	−0.0179053	+	0.0609798i
$537$	−39.7433	−	8.64562i	−1.71505	−	0.373086i
$538$	10.6207	+	3.96132i	0.457891	+	0.170784i
$539$	−10.7566	+	3.15841i	−0.463317	+	0.136042i
$540$	−3.07934	−	6.26562i	−0.132514	−	0.269629i
$541$	−18.6599	+	21.5347i	−0.802252	+	0.925848i	−0.998503	−	0.0547059i	$-0.982578\pi$
$541$	−18.6599	+	21.5347i	−0.802252	+	0.925848i	0.196251	+	0.980554i	$0.437123\pi$
$542$	11.9618	+	6.53162i	0.513802	+	0.280557i
$543$	15.4334	−	41.3786i	0.662311	−	1.77572i
$544$	−0.167265	+	0.107494i	−0.00717141	+	0.00460879i
$545$	33.2209	−	3.32645i	1.42303	−	0.142490i
$546$	1.00989	−	0.145200i	0.0432192	−	0.00621398i
$547$	2.09099	−	0.779899i	0.0894043	−	0.0333461i	−0.304364	−	0.952556i	$-0.598444\pi$
$547$	2.09099	−	0.779899i	0.0894043	−	0.0333461i	0.393768	+	0.919210i	$0.371171\pi$
$548$	14.8254	−	11.0981i	0.633309	−	0.474089i
$549$	−17.0122	−	10.9331i	−0.726065	−	0.466614i
$550$	7.66066	−	6.44458i	0.326652	−	0.274798i
$551$		−	14.5156i		−	0.618383i
$552$	8.54345	+	5.59318i	0.363633	+	0.238061i
$553$	11.7438	−	11.7438i	0.499397	−	0.499397i
$554$	8.74328	−	7.57610i	0.371467	−	0.321878i
$555$	5.23823	−	27.8675i	0.222350	−	1.18291i
$556$	−2.61532	+	18.1900i	−0.110914	+	0.771426i
$557$	0.0232654	+	0.0623770i	0.000985788	+	0.00264300i	0.937442	−	0.348142i	$-0.113187\pi$
$557$	0.0232654	+	0.0623770i	0.000985788	+	0.00264300i	−0.936456	+	0.350785i	$0.885915\pi$
$558$	6.24967	+	4.67845i	0.264570	+	0.198054i
$559$	2.68043	+	0.787044i	0.113370	+	0.0332884i
$560$	−0.450864	−	2.60780i	−0.0190525	−	0.110200i
$561$	0.352117	+	0.771030i	0.0148664	+	0.0325529i
$562$	4.11021	−	7.52728i	0.173379	−	0.317519i
$563$	5.89005	−	0.421265i	0.248236	−	0.0177542i	0.0533333	−	0.998577i	$-0.483015\pi$
$563$	5.89005	−	0.421265i	0.248236	−	0.0177542i	0.194903	+	0.980823i	$0.437561\pi$
$564$	8.53441	+	7.39511i	0.359364	+	0.311390i
$565$	5.04000	+	0.579110i	0.212034	+	0.0243633i
$566$	−13.8779	+	6.33780i	−0.583330	+	0.266398i
$567$	−2.83000	+	13.0093i	−0.118849	+	0.546339i
$568$	−10.9624	+	5.98594i	−0.459973	+	0.251164i
$569$	5.73213	+	39.8678i	0.240303	+	1.67135i	0.650620	+	0.759403i	$0.274509\pi$
$569$	5.73213	+	39.8678i	0.240303	+	1.67135i	−0.410317	+	0.911943i	$0.634582\pi$
$570$	−0.434185	+	10.0908i	−0.0181860	+	0.422659i
$571$	26.2360	+	3.77217i	1.09794	+	0.157860i	0.667392	−	0.744706i	$-0.267410\pi$
$571$	26.2360	+	3.77217i	1.09794	+	0.157860i	0.430550	+	0.902567i	$0.358319\pi$
$572$	−0.792082	+	0.172307i	−0.0331186	+	0.00720451i
$573$	−1.00666	+	14.0750i	−0.0420539	+	0.587990i
$574$	−0.0311575			−0.00130049
$575$	14.8089	−	18.8599i	0.617576	−	0.786512i
$576$	−1.53366			−0.0639025
$577$	−0.453663	+	6.34303i	−0.0188862	+	0.264064i	0.979232	+	0.202743i	$0.0649857\pi$
$577$	−0.453663	+	6.34303i	−0.0188862	+	0.264064i	−0.998118	+	0.0613205i	$0.980469\pi$
$578$	16.5729	−	3.60521i	0.689340	−	0.149957i
$579$	−39.5625	−	5.68822i	−1.64416	−	0.236395i
$580$	0.657726	−	15.2861i	0.0273106	−	0.634722i
$581$	0.471933	+	3.28237i	0.0195791	+	0.136176i
$582$	−13.4143	+	7.32476i	−0.556041	+	0.303621i
$583$	0.229858	−	1.05664i	0.00951975	−	0.0437616i
$584$	12.0508	−	5.50343i	0.498667	−	0.227734i
$585$	−1.37934	−	0.158490i	−0.0570289	−	0.00655277i
$586$	24.5845	+	21.3026i	1.01558	+	0.880004i
$587$	30.2126	−	2.16085i	1.24701	−	0.0891879i	0.567821	−	0.823152i	$-0.307787\pi$
$587$	30.2126	−	2.16085i	1.24701	−	0.0891879i	0.679188	+	0.733964i	$0.262332\pi$
$588$	5.71365	−	10.4638i	0.235627	−	0.431518i
$589$	4.48587	+	9.82267i	0.184837	+	0.404736i
$590$	−4.93863	−	28.5650i	−0.203320	−	1.17600i
$591$	15.4205	+	4.52787i	0.634316	+	0.186252i
$592$	4.76774	+	3.56909i	0.195953	+	0.146689i
$593$	14.9405	+	40.0569i	0.613531	+	1.64494i	0.755562	+	0.655078i	$0.227364\pi$
$593$	14.9405	+	40.0569i	0.613531	+	1.64494i	−0.142031	+	0.989862i	$0.545363\pi$
$594$	0.889637	−	6.18756i	0.0365023	−	0.253879i
$595$	0.0972060	−	0.517139i	0.00398506	−	0.0212006i
$596$	−1.71737	+	1.48811i	−0.0703462	+	0.0609553i
$597$	21.6562	−	21.6562i	0.886330	−	0.886330i
$598$	−1.77294	+	0.791628i	−0.0725010	+	0.0323721i
$599$		−	5.04783i		−	0.206249i	−0.994668	−	0.103124i	$-0.967116\pi$
$599$		−	5.04783i		−	0.206249i	0.994668	−	0.103124i	$-0.0328840\pi$
$600$	−0.914469	+	10.6068i	−0.0373330	+	0.433023i
$601$	−23.9329	−	15.3807i	−0.976242	−	0.627393i	−0.0477949	−	0.998857i	$-0.515219\pi$
$601$	−23.9329	−	15.3807i	−0.976242	−	0.627393i	−0.928447	+	0.371465i	$0.878856\pi$
$602$	−6.53768	+	4.89405i	−0.266456	+	0.199466i
$603$	−2.11432	+	0.788602i	−0.0861019	+	0.0321144i
$604$	−6.98726	+	1.00462i	−0.284308	+	0.0408773i
$605$	−15.5552	+	1.55756i	−0.632407	+	0.0633237i
$606$	−5.75835	+	3.70067i	−0.233917	+	0.150329i
$607$	−9.63734	+	25.8387i	−0.391168	+	1.04876i	0.580882	+	0.813987i	$0.302708\pi$
$607$	−9.63734	+	25.8387i	−0.391168	+	1.04876i	−0.972050	+	0.234774i	$0.924565\pi$
$608$	−1.86190	−	1.01667i	−0.0755098	−	0.0412315i
$609$	−11.2920	+	13.0317i	−0.457576	+	0.528071i
$610$	−13.0048	−	26.4613i	−0.526550	−	1.07138i
$611$	−2.06025	+	0.604944i	−0.0833488	+	0.0244734i
$612$	−0.285708	−	0.106564i	−0.0115491	−	0.00430758i
$613$	−30.4977	−	6.63436i	−1.23179	−	0.267959i	−0.450869	−	0.892590i	$-0.648886\pi$
$613$	−30.4977	−	6.63436i	−1.23179	−	0.267959i	−0.780920	+	0.624631i	$0.785249\pi$
$614$	−1.12906	+	3.84523i	−0.0455653	+	0.155181i
$615$	0.121216	+	0.0318831i	0.00488791	+	0.00128565i
$616$	0.984398	−	2.15553i	0.0396625	−	0.0868488i
$617$	−2.28048	−	3.04636i	−0.0918086	−	0.122642i	0.752285	−	0.658838i	$-0.228952\pi$
$617$	−2.28048	−	3.04636i	−0.0918086	−	0.122642i	−0.844093	+	0.536196i	$0.819861\pi$
$618$	7.79946	+	35.8535i	0.313740	+	1.44224i
$619$	−9.92087	−	11.4493i	−0.398754	−	0.460186i	0.520494	−	0.853865i	$-0.325748\pi$
$619$	−9.92087	−	11.4493i	−0.398754	−	0.460186i	−0.919248	+	0.393679i	$0.871202\pi$
$620$	4.27892	+	10.5474i	0.171845	+	0.423593i
$621$	−0.941874	−	14.9438i	−0.0377961	−	0.599676i
$622$	−20.7733	−	20.7733i	−0.832934	−	0.832934i
$623$	−1.49559	−	0.106967i	−0.0599197	−	0.00428554i
$624$	0.466058	−	0.725201i	0.0186573	−	0.0290313i
$625$	24.6311	+	4.27894i	0.985244	+	0.171158i
$626$	24.8913	+	11.3675i	0.994855	+	0.454335i
$627$	−5.41971	+	7.23988i	−0.216442	+	0.289133i
$628$	5.31749	+	9.73825i	0.212191	+	0.388599i
$629$	0.640199	+	0.996170i	0.0255264	+	0.0397199i
$630$	2.78736	−	2.95035i	0.111051	−	0.117545i
$631$	7.90977	+	26.9382i	0.314883	+	1.07239i	0.953130	+	0.302561i	$0.0978416\pi$
$631$	7.90977	+	26.9382i	0.314883	+	1.07239i	−0.638247	+	0.769831i	$0.720340\pi$
$632$	−1.00108	−	13.9969i	−0.0398207	−	0.556765i
$633$	−0.312380	−	4.36765i	−0.0124160	−	0.173598i
$634$	6.89212	+	23.4724i	0.273721	+	0.932209i
$635$	0.0144274	+	0.507893i	0.000572532	+	0.0201551i
$636$	0.621723	+	0.967420i	0.0246529	+	0.0383607i
$637$	1.08641	+	1.98962i	0.0430453	+	0.0788316i
$638$	8.21005	−	10.9673i	0.325039	−	0.434201i
$639$	−17.4247	−	7.95760i	−0.689311	−	0.314798i
$640$	−1.91467	−	1.15501i	−0.0756839	−	0.0456557i
$641$	−21.6529	+	33.6925i	−0.855237	+	1.33077i	0.0871317	+	0.996197i	$0.472230\pi$
$641$	−21.6529	+	33.6925i	−0.855237	+	1.33077i	−0.942368	+	0.334577i	$0.891406\pi$
$642$	9.81641	+	0.702083i	0.387423	+	0.0277090i
$643$	3.27418	+	3.27418i	0.129121	+	0.129121i	0.768714	−	0.639593i	$-0.220897\pi$
$643$	3.27418	+	3.27418i	0.129121	+	0.129121i	−0.639593	+	0.768714i	$0.720897\pi$
$644$	1.25339	−	5.53597i	0.0493905	−	0.218148i
$645$	30.4425	−	12.3501i	1.19867	−	0.486283i
$646$	−0.276214	−	0.318768i	−0.0108675	−	0.0125418i
$647$	7.09989	+	32.6377i	0.279126	+	1.28312i	0.876595	+	0.481228i	$0.159809\pi$
$647$	7.09989	+	32.6377i	0.279126	+	1.28312i	−0.597470	+	0.801891i	$0.703827\pi$
$648$	6.74119	+	9.00518i	0.264819	+	0.353757i
$649$	10.7828	−	23.6110i	0.423261	−	0.926813i
$650$	−1.60266	−	1.23666i	−0.0628613	−	0.0485057i
$651$	3.61402	−	12.3082i	0.141645	−	0.482397i
$652$	12.7889	+	2.78204i	0.500850	+	0.108953i
$653$	−1.75531	−	0.654698i	−0.0686907	−	0.0256203i	0.314884	−	0.949130i	$-0.398034\pi$
$653$	−1.75531	−	0.654698i	−0.0686907	−	0.0256203i	−0.383575	+	0.923510i	$0.625307\pi$
$654$	−30.5042	+	8.95684i	−1.19281	+	0.350240i
$655$	8.70840	−	25.5407i	0.340265	−	0.997957i
$656$	−0.0172396	+	0.0198955i	−0.000673092	+	0.000776790i
$657$	17.8327	+	9.73737i	0.695718	+	0.379891i
$658$	2.19361	−	5.88129i	0.0855157	−	0.229276i
$659$	32.8567	−	21.1157i	1.27992	−	0.822552i	0.289038	−	0.957317i	$-0.406664\pi$
$659$	32.8567	−	21.1157i	1.27992	−	0.822552i	0.990878	+	0.134765i	$0.0430281\pi$
$660$	−6.03547	+	7.37864i	−0.234930	+	0.287213i
$661$	−19.9226	+	2.86444i	−0.774901	+	0.111414i	−0.518409	−	0.855133i	$-0.673476\pi$
$661$	−19.9226	+	2.86444i	−0.774901	+	0.111414i	−0.256491	+	0.966546i	$0.582567\pi$
$662$	−6.20730	+	2.31520i	−0.241254	+	0.0899830i
$663$	0.137212	−	0.102716i	0.00532887	−	0.00398915i
$664$	2.35707	+	1.51480i	0.0914721	+	0.0587855i
$665$	5.33972	−	1.73403i	0.207065	−	0.0672427i
$666$			9.13394i			0.353933i
$667$	13.8839	−	29.7336i	0.537588	−	1.15129i
$668$	−10.7930	+	10.7930i	−0.417595	+	0.417595i
$669$	−29.0842	+	25.2016i	−1.12446	+	0.974351i
$670$	−3.23349	−	0.607795i	−0.124921	−	0.0234812i
$671$	3.75716	−	26.1316i	0.145043	−	1.00880i
$672$	0.880667	+	2.36116i	0.0339725	+	0.0910837i
$673$	9.81021	+	7.34383i	0.378156	+	0.283084i	0.771400	−	0.636350i	$-0.219557\pi$
$673$	9.81021	+	7.34383i	0.378156	+	0.283084i	−0.393245	+	0.919434i	$0.628647\pi$
$674$	−23.4472	−	6.88472i	−0.903153	−	0.265190i
$675$	13.2546	−	8.24725i	0.510170	−	0.317437i
$676$	−5.33230	−	11.6761i	−0.205089	−	0.449081i
$677$	−2.04846	+	3.75147i	−0.0787287	+	0.144181i	−0.914078	−	0.405539i	$-0.867084\pi$
$677$	−2.04846	+	3.75147i	−0.0787287	+	0.144181i	0.835349	+	0.549720i	$0.185266\pi$
$678$	−4.81848	+	0.344625i	−0.185053	+	0.0132352i
$679$	6.42052	+	5.56342i	0.246397	+	0.213504i
$680$	−0.276433	−	0.348206i	−0.0106007	−	0.0133531i
$681$	32.2417	−	14.7243i	1.23550	−	0.564235i
$682$	−2.16641	+	9.95882i	−0.0829561	+	0.381343i
$683$	27.7719	−	15.1646i	1.06266	−	0.580257i	0.149880	−	0.988704i	$-0.452111\pi$
$683$	27.7719	−	15.1646i	1.06266	−	0.580257i	0.912782	+	0.408447i	$0.133930\pi$
$684$	−0.463019	−	3.22037i	−0.0177040	−	0.123134i
$685$	27.9956	+	30.5131i	1.06966	+	1.16585i
$686$	−14.7600	−	2.12216i	−0.563538	−	0.0810245i
$687$	−34.6677	+	7.54149i	−1.32265	+	0.287726i
$688$	−0.492247	+	6.88252i	−0.0187668	+	0.262394i
$689$	−0.218661			−0.00833031
$690$	−10.5411	+	20.2548i	−0.401294	+	0.771086i
$691$	−5.81294			−0.221135			−0.110567	−	0.993869i	$-0.535267\pi$
$691$	−5.81294			−0.221135			−0.110567	+	0.993869i	$0.535267\pi$
$692$	0.658430	−	9.20605i	0.0250297	−	0.349961i
$693$	3.55122	−	0.772520i	0.134900	−	0.0293456i
$694$	19.8513	+	2.85418i	0.753544	+	0.108343i
$695$	−41.0543	−	1.76647i	−1.55728	−	0.0670060i
$696$	2.07343	+	14.4210i	0.0785930	+	0.546627i
$697$	−0.00459400	+	0.00250851i	−0.000174010	+	9.50166e-5i
$698$	1.08509	−	4.98809i	0.0410714	−	0.188802i
$699$	35.8519	−	16.3730i	1.35604	−	0.619284i
$700$	5.70175	−	1.58413i	0.215506	−	0.0598744i
$701$	−4.28349	−	3.71166i	−0.161785	−	0.140188i	0.570206	−	0.821502i	$-0.306863\pi$
$701$	−4.28349	−	3.71166i	−0.161785	−	0.140188i	−0.731991	+	0.681314i	$0.761409\pi$
$702$	−1.26083	+	0.0901767i	−0.0475871	+	0.00340350i
$703$	−6.05494	+	11.0888i	−0.228366	+	0.418222i
$704$	−0.831737	−	1.82125i	−0.0313473	−	0.0686409i
$705$	−14.5523	+	20.6361i	−0.548073	+	0.777201i
$706$	−35.2689	−	10.3559i	−1.32736	−	0.389749i
$707$	3.04590	+	2.28013i	0.114553	+	0.0857531i
$708$	9.64656	+	25.8634i	0.362540	+	0.972007i
$709$	4.89751	−	34.0630i	0.183930	−	1.27926i	−0.663428	−	0.748240i	$-0.730899\pi$
$709$	4.89751	−	34.0630i	0.183930	−	1.27926i	0.847358	−	0.531021i	$-0.178192\pi$
$710$	−15.7606	−	23.0572i	−0.591486	−	0.865321i
$711$	16.2647	−	14.0934i	0.609973	−	0.528545i
$712$	−0.895822	+	0.895822i	−0.0335723	+	0.0335723i
$713$	−0.206415	+	24.4114i	−0.00773032	+	0.914214i
$714$			0.501056i			0.0187516i
$715$	−0.559838	−	1.72395i	−0.0209367	−	0.0644720i
$716$	16.0696	+	10.3273i	0.600551	+	0.385950i
$717$	17.5988	−	13.1743i	0.657241	−	0.492004i
$718$	13.3477	−	4.97844i	0.498132	−	0.185794i
$719$	40.9834	−	5.89252i	1.52842	−	0.219754i	0.673765	−	0.738946i	$-0.264676\pi$
$719$	40.9834	−	5.89252i	1.52842	−	0.219754i	0.854658	+	0.519192i	$0.173767\pi$
$720$	−0.341678	−	3.41230i	−0.0127336	−	0.127169i
$721$	17.1577	−	11.0266i	0.638987	−	0.410652i
$722$	−5.06713	+	13.5855i	−0.188579	+	0.505600i
$723$	4.95961	+	2.70815i	0.184450	+	0.100717i
$724$	−13.5826	+	15.6752i	−0.504794	+	0.582564i
$725$	34.1573	−	1.94213i	1.26857	−	0.0721289i
$726$	14.2831	−	4.19389i	0.530095	−	0.155650i
$727$	−31.3505	−	11.6931i	−1.16272	−	0.433674i	−0.307306	−	0.951611i	$-0.599428\pi$
$727$	−31.3505	−	11.6931i	−1.16272	−	0.433674i	−0.855419	+	0.517937i	$0.826700\pi$
$728$	−0.468222	−	0.101855i	−0.0173534	−	0.00377501i
$729$	0.758348	−	2.58270i	0.0280870	−	0.0956554i
$730$	14.9296	+	25.5863i	0.552568	+	0.946992i
$731$	−0.569921	+	1.24795i	−0.0210793	+	0.0461572i
$732$	16.8251	+	22.4757i	0.621874	+	0.830727i
$733$	−4.83923	−	22.2456i	−0.178741	−	0.821660i	−0.975957	−	0.217965i	$-0.930058\pi$
$733$	−4.83923	−	22.2456i	−0.178741	−	0.821660i	0.797216	−	0.603695i	$-0.206305\pi$
$734$	−8.66684	−	10.0021i	−0.319899	−	0.369183i
$735$	24.5542	+	10.3814i	0.905695	+	0.382922i
$736$	−2.84147	−	3.86342i	−0.104738	−	0.142408i
$737$	−2.08312	−	2.08312i	−0.0767328	−	0.0767328i
$738$	−0.0402716	−	0.00288028i	−0.00148242	−	0.000106025i
$739$	−4.29850	+	6.68860i	−0.158123	+	0.246044i	−0.911271	−	0.411807i	$-0.864898\pi$
$739$	−4.29850	+	6.68860i	−0.158123	+	0.246044i	0.753148	+	0.657851i	$0.228534\pi$
$740$	−6.87883	+	11.4031i	−0.252871	+	0.419186i
$741$	1.66348	+	0.759684i	0.0611093	+	0.0279077i
$742$	0.383069	−	0.511720i	0.0140629	−	0.0187858i
$743$	−10.3709	−	18.9929i	−0.380471	−	0.696780i	0.615336	−	0.788265i	$-0.289020\pi$
$743$	−10.3709	−	18.9929i	−0.380471	−	0.696780i	−0.995806	+	0.0914850i	$0.970839\pi$
$744$	−5.85973	−	9.11792i	−0.214828	−	0.334279i
$745$	−3.69356	−	3.48952i	−0.135322	−	0.127846i
$746$	8.32387	+	28.3485i	0.304758	+	1.03791i
$747$	0.306551	+	4.28614i	0.0112161	+	0.156822i
$748$	−0.0283994	−	0.397075i	−0.00103838	−	0.0145185i
$749$	−1.54120	−	5.24883i	−0.0563141	−	0.191788i
$750$	−23.8034	+	0.328417i	−0.869176	+	0.0119921i
$751$	−5.47454	−	8.51855i	−0.199769	−	0.310846i	0.726887	−	0.686757i	$-0.240966\pi$
$751$	−5.47454	−	8.51855i	−0.199769	−	0.310846i	−0.926656	+	0.375911i	$0.877330\pi$
$752$	−2.54175	−	4.65486i	−0.0926880	−	0.169745i
$753$	−4.05585	+	5.41798i	−0.147803	+	0.197442i
$754$	−2.51992	−	1.15081i	−0.0917700	−	0.0419100i
$755$	−3.79188	−	15.3224i	−0.138001	−	0.557641i
$756$	1.99780	−	3.10864i	0.0726594	−	0.113060i
$757$	−12.5415	−	0.896988i	−0.455830	−	0.0326016i	−0.158463	−	0.987365i	$-0.550654\pi$
$757$	−12.5415	−	0.896988i	−0.455830	−	0.0326016i	−0.297367	+	0.954763i	$0.596108\pi$
$758$	17.8460	+	17.8460i	0.648195	+	0.648195i
$759$	−18.0266	+	9.64628i	−0.654322	+	0.350138i
$760$	1.84723	−	4.36911i	0.0670061	−	0.158484i
$761$	−8.34254	−	9.62781i	−0.302417	−	0.349008i	0.584119	−	0.811668i	$-0.301440\pi$
$761$	−8.34254	−	9.62781i	−0.302417	−	0.349008i	−0.886536	+	0.462661i	$0.846895\pi$
$762$	−0.102844	−	0.472766i	−0.00372564	−	0.0171265i
$763$	10.5902	+	14.1469i	0.383393	+	0.512153i
$764$	2.75304	−	6.02833i	0.0996016	−	0.218097i
$765$	0.173446	−	0.659425i	0.00627096	−	0.0238416i
$766$	−3.09427	+	10.5381i	−0.111801	+	0.380758i
$767$	−5.12875	−	1.11569i	−0.185189	−	0.0402853i
$768$	1.99499	+	0.744093i	0.0719880	+	0.0268501i
$769$	38.9331	−	11.4318i	1.40396	−	0.412241i	0.509921	−	0.860221i	$-0.329675\pi$
$769$	38.9331	−	11.4318i	1.40396	−	0.412241i	0.894043	+	0.447980i	$0.147856\pi$
$770$	5.01524	+	1.71001i	0.180737	+	0.0616243i
$771$	−3.51874	+	4.06084i	−0.126724	+	0.146248i
$772$	16.4755	+	8.99629i	0.592965	+	0.323783i
$773$	−1.90535	+	5.10843i	−0.0685306	+	0.183738i	−0.966700	−	0.255911i	$-0.917624\pi$
$773$	−1.90535	+	5.10843i	−0.0685306	+	0.183738i	0.898170	+	0.439649i	$0.144897\pi$
$774$	−8.90248	+	5.72128i	−0.319993	+	0.205647i
$775$	−22.5140	+	11.8702i	−0.808728	+	0.426388i
$776$	7.10501	−	1.02155i	0.255055	−	0.0366714i
$777$	14.0622	−	5.24495i	0.504480	−	0.188161i
$778$	21.4361	−	16.0469i	0.768521	−	0.575308i
$779$	−0.0469812	−	0.0301930i	−0.00168328	−	0.00108178i
$780$	1.71736	+	0.875388i	0.0614914	+	0.0313439i
$781$		−	25.0077i		−	0.894848i
$782$	−0.260899	−	0.917158i	−0.00932973	−	0.0327975i
$783$	15.1063	−	15.1063i	0.539855	−	0.539855i
$784$	−4.23161	+	3.66671i	−0.151129	+	0.130954i
$785$	−20.4824	+	14.0007i	−0.731048	+	0.499705i
$786$	−3.65682	+	25.4337i	−0.130434	+	0.907192i
$787$	16.7677	+	44.9559i	0.597704	+	1.60251i	0.784515	+	0.620110i	$0.212912\pi$
$787$	16.7677	+	44.9559i	0.597704	+	1.60251i	−0.186811	+	0.982396i	$0.559815\pi$
$788$	−6.04250	−	4.52336i	−0.215255	−	0.161138i
$789$	−50.5217	−	14.8345i	−1.79862	−	0.528123i
$790$	30.9192	−	5.34564i	1.10006	−	0.190189i
$791$	1.11548	+	2.44255i	0.0396618	+	0.0868472i
$792$	1.47161	−	2.69506i	0.0522915	−	0.0957648i
$793$	−5.32481	+	0.380838i	−0.189090	+	0.0135240i
$794$	−2.53202	−	2.19400i	−0.0898579	−	0.0778623i
$795$	−2.01394	+	1.59883i	−0.0714272	+	0.0567045i
$796$	−13.0839	+	5.97524i	−0.463748	+	0.211787i
$797$	−9.80176	+	45.0579i	−0.347196	+	1.59603i	0.390303	+	0.920686i	$0.372370\pi$
$797$	−9.80176	+	45.0579i	−0.347196	+	1.59603i	−0.737499	+	0.675348i	$0.763993\pi$
$798$	−4.69207	+	2.56206i	−0.166097	+	0.0906961i
$799$	−0.150072	−	1.04377i	−0.00530916	−	0.0369260i
$800$	2.14327	−	4.51735i	0.0757759	−	0.159712i
$801$	−1.92319	−	0.276513i	−0.0679526	−	0.00977011i
$802$	−2.99918	+	0.652431i	−0.105905	+	0.0230382i
$803$	−1.89227	+	26.4574i	−0.0667768	+	0.933661i
$804$	3.13293			0.110490
$805$	12.5964	+	1.55539i	0.443966	+	0.0548202i
$806$	2.06087			0.0725912
$807$	1.72183	−	24.0743i	0.0606112	−	0.847455i
$808$	3.14128	−	0.683343i	0.110510	−	0.0240399i
$809$	19.3351	+	2.77997i	0.679786	+	0.0977385i	0.473554	−	0.880765i	$-0.342971\pi$
$809$	19.3351	+	2.77997i	0.679786	+	0.0977385i	0.206232	+	0.978503i	$0.433880\pi$
$810$	−18.5342	+	17.0050i	−0.651224	+	0.597495i
$811$	1.04045	+	7.23648i	0.0365351	+	0.254107i	0.999901	−	0.0140840i	$-0.00448324\pi$
$811$	1.04045	+	7.23648i	0.0365351	+	0.254107i	−0.963366	+	0.268191i	$0.913574\pi$
$812$	7.10779	−	3.88115i	0.249434	−	0.136202i
$813$	6.16845	−	28.3559i	0.216337	−	0.994486i
$814$	−10.8467	+	4.95353i	−0.380177	+	0.173621i
$815$	−3.34071	+	29.0743i	−0.117020	+	1.01843i
$816$	0.319948	+	0.277237i	0.0112004	+	0.00970522i
$817$	−14.6005	+	1.04425i	−0.510806	+	0.0365336i
$818$	3.78394	−	6.92978i	0.132302	−	0.242294i
$819$	−0.305283	−	0.668477i	−0.0106675	−	0.0233585i
$820$	−0.0481071	−	0.0339246i	−0.00167997	−	0.00118470i
$821$	22.8472	+	6.70856i	0.797374	+	0.234130i	0.654947	−	0.755675i	$-0.272691\pi$
$821$	22.8472	+	6.70856i	0.797374	+	0.234130i	0.142428	+	0.989805i	$0.454509\pi$
$822$	−31.5668	−	23.6306i	−1.10102	−	0.824211i
$823$	−2.51497	−	6.74289i	−0.0876662	−	0.235042i	0.885717	−	0.464225i	$-0.153667\pi$
$823$	−2.51497	−	6.74289i	−0.0876662	−	0.235042i	−0.973383	+	0.229183i	$0.926395\pi$
$824$	2.45244	−	17.0571i	0.0854347	−	0.594211i
$825$	−17.7617	−	11.7847i	−0.618382	−	0.410291i
$826$	11.5960	−	10.0480i	0.403476	−	0.349614i
$827$	−3.24669	+	3.24669i	−0.112898	+	0.112898i	−0.761299	−	0.648401i	$-0.775438\pi$
$827$	−3.24669	+	3.24669i	−0.112898	+	0.112898i	0.648401	+	0.761299i	$0.275438\pi$
$828$	2.13179	−	7.03946i	0.0740848	−	0.244638i
$829$			9.95166i			0.345636i	0.984954	+	0.172818i	$0.0552872\pi$
$829$			9.95166i			0.345636i	−0.984954	+	0.172818i	$0.944713\pi$
$830$	−2.84521	+	5.58182i	−0.0987588	+	0.193748i
$831$	−20.7228	−	13.3177i	−0.718865	−	0.461987i
$832$	−0.324109	+	0.242625i	−0.0112364	+	0.00841150i
$833$	−1.04309	+	0.389052i	−0.0361409	+	0.0134798i
$834$	38.7308	−	5.56865i	1.34114	−	0.192826i
$835$	−26.4184	−	21.6093i	−0.914247	−	0.747822i
$836$	3.57314	−	2.29632i	0.123580	−	0.0794198i
$837$	−5.55401	+	14.8909i	−0.191975	+	0.514704i
$838$	−8.71416	−	4.75829i	−0.301026	−	0.164373i
$839$	−3.93146	+	4.53715i	−0.135729	+	0.156640i	−0.819545	−	0.573015i	$-0.805774\pi$
$839$	−3.93146	+	4.53715i	−0.135729	+	0.156640i	0.683816	+	0.729655i	$0.260319\pi$
$840$	−5.05724	+	2.48547i	−0.174492	+	0.0857568i
$841$	17.0978	−	5.02037i	0.589580	−	0.173116i
$842$	−12.7383	−	4.75112i	−0.438989	−	0.163734i
$843$	−17.8438	−	3.88168i	−0.614572	−	0.133692i
$844$	−0.579386	+	1.97321i	−0.0199433	+	0.0679207i
$845$	24.7907	−	14.4653i	0.852827	−	0.497623i
$846$	3.37896	−	7.39888i	0.116171	−	0.254379i
$847$	−4.95871	−	6.62406i	−0.170383	−	0.227605i
$848$	−0.114804	−	0.527744i	−0.00394238	−	0.0181228i
$849$	21.2731	+	24.5504i	0.730089	+	0.842568i
$850$	0.713152	−	0.692623i	0.0244609	−	0.0237568i
$851$	−23.0092	+	16.9228i	−0.788745	+	0.580106i
$852$	18.8053	+	18.8053i	0.644259	+	0.644259i
$853$	−31.4633	−	2.25030i	−1.07728	−	0.0770488i	−0.478598	−	0.878034i	$-0.658855\pi$
$853$	−31.4633	−	2.25030i	−1.07728	−	0.0770488i	−0.598684	+	0.800985i	$0.704310\pi$
$854$	8.43722	−	13.1286i	0.288716	−	0.449250i
$855$	7.06198	−	1.74764i	0.241515	−	0.0597681i
$856$	−4.20438	−	1.92008i	−0.143703	−	0.0656268i
$857$	3.33577	−	4.45607i	0.113948	−	0.152216i	−0.739941	−	0.672671i	$-0.765147\pi$
$857$	3.33577	−	4.45607i	0.113948	−	0.152216i	0.853889	+	0.520455i	$0.174238\pi$
$858$	0.827172	+	1.51485i	0.0282392	+	0.0517162i
$859$	−7.29231	−	11.3471i	−0.248810	−	0.387157i	0.694274	−	0.719711i	$-0.255726\pi$
$859$	−7.29231	−	11.3471i	−0.248810	−	0.387157i	−0.943084	+	0.332555i	$0.892089\pi$
$860$	−15.4229	+	0.438107i	−0.525915	+	0.0149393i
$861$	0.0186906	+	0.0636544i	0.000636975	+	0.00216934i
$862$	0.290786	+	4.06572i	0.00990422	+	0.138479i
$863$	−3.20103	−	44.7562i	−0.108964	−	1.52352i	−0.698402	−	0.715706i	$-0.746105\pi$
$863$	−3.20103	−	44.7562i	−0.108964	−	1.52352i	0.589438	−	0.807814i	$-0.299349\pi$
$864$	−0.879622	−	2.99572i	−0.0299254	−	0.101916i
$865$	20.6296	−	0.586011i	0.701428	−	0.0199250i
$866$	−16.7872	−	26.1214i	−0.570453	−	0.887643i
$867$	−17.3071	−	31.6955i	−0.587779	−	1.07644i
$868$	−3.61042	+	4.82295i	−0.122546	+	0.163702i
$869$	25.5569	+	11.6714i	0.866958	+	0.395927i
$870$	−31.6240	+	7.82605i	−1.07215	+	0.265328i
$871$	−0.322064	+	0.501141i	−0.0109127	+	0.0169805i
$872$	14.8931	+	1.06518i	0.504344	+	0.0360714i
$873$	7.78434	+	7.78434i	0.263460	+	0.263460i
$874$	7.25454	−	7.13288i	0.245388	−	0.241273i
$875$	4.79486	+	12.3332i	0.162096	+	0.416937i
$876$	−18.4725	−	21.3184i	−0.624127	−	0.720280i
$877$	2.38786	+	10.9768i	0.0806323	+	0.370661i	0.999727	−	0.0233767i	$-0.00744172\pi$
$877$	2.38786	+	10.9768i	0.0806323	+	0.370661i	−0.919094	+	0.394037i	$0.871078\pi$
$878$	−14.7967	−	19.7661i	−0.499365	−	0.667074i
$879$	28.7734	−	63.0049i	0.970502	−	2.12510i
$880$	3.86687	−	2.25631i	0.130352	−	0.0760603i
$881$	14.9751	−	51.0006i	0.504525	−	1.71825i	−0.174970	−	0.984574i	$-0.555983\pi$
$881$	14.9751	−	51.0006i	0.504525	−	1.71825i	0.679495	−	0.733680i	$-0.262199\pi$
$882$	−8.39105	−	1.82536i	−0.282541	−	0.0614631i
$883$	−13.5207	−	5.04295i	−0.455007	−	0.169709i	0.111502	−	0.993764i	$-0.464434\pi$
$883$	−13.5207	−	5.04295i	−0.455007	−	0.169709i	−0.566509	+	0.824055i	$0.691706\pi$
$884$	−0.0772371	+	0.0226789i	−0.00259776	+	0.000762772i
$885$	−55.3955	+	27.2250i	−1.86210	+	0.915160i
$886$	0.723795	−	0.835303i	0.0243164	−	0.0280626i
$887$	−8.55001	−	4.66866i	−0.287081	−	0.156758i	0.329256	−	0.944241i	$-0.393202\pi$
$887$	−8.55001	−	4.66866i	−0.287081	−	0.156758i	−0.616337	+	0.787483i	$0.711384\pi$
$888$	4.43156	−	11.8815i	0.148713	−	0.398716i
$889$	−0.226242	+	0.145397i	−0.00758792	+	0.00487646i
$890$	−2.19273	−	1.79357i	−0.0735004	−	0.0601207i
$891$	−22.2930	+	3.20525i	−0.746845	+	0.107380i
$892$	16.9345	−	6.31623i	0.567008	−	0.211483i
$893$	9.00689	−	6.74247i	0.301404	−	0.225628i
$894$	4.07040	+	2.61589i	0.136134	+	0.0874883i
$895$	−19.3976	+	38.0548i	−0.648391	+	1.27203i
$896$		−	1.18354i		−	0.0395395i
$897$	2.68083	+	3.14723i	0.0895104	+	0.105083i
$898$	−5.32078	+	5.32078i	−0.177557	+	0.177557i
$899$	−26.3231	+	22.8091i	−0.877923	+	0.760725i
$900$	7.51606	−	1.52043i	0.250535	−	0.0506809i
$901$	0.0152824	−	0.106291i	0.000509130	−	0.00354108i
$902$	−0.0184198	−	0.0493853i	−0.000613311	−	0.00164435i
$903$	13.9203	+	10.4206i	0.463238	+	0.346776i
$904$	2.17689	+	0.639191i	0.0724021	+	0.0212592i
$905$	−37.9024	−	26.7283i	−1.25992	−	0.888480i
$906$	6.24391	+	13.6723i	0.207440	+	0.454231i
$907$	−5.17683	+	9.48067i	−0.171894	+	0.314800i	−0.949397	−	0.314079i	$-0.898304\pi$
$907$	−5.17683	+	9.48067i	−0.171894	+	0.314800i	0.777503	+	0.628879i	$0.216486\pi$
$908$	−16.6042	+	1.18756i	−0.551031	+	0.0394105i
$909$	3.72609	+	3.22868i	0.123587	+	0.107088i
$910$	0.122309	−	1.06446i	0.00405451	−	0.0352864i
$911$	−36.2764	+	16.5669i	−1.20189	+	0.548886i	−0.912797	−	0.408415i	$-0.866082\pi$
$911$	−36.2764	+	16.5669i	−1.20189	+	0.548886i	−0.289095	+	0.957300i	$0.593354\pi$
$912$	−0.960144	+	4.41371i	−0.0317935	+	0.146153i
$913$	−4.92362	+	2.68850i	−0.162948	+	0.0889764i
$914$	1.53259	+	10.6594i	0.0506936	+	0.352581i
$915$	−46.2588	+	42.4422i	−1.52927	+	1.40310i
$916$	16.4929	+	2.37132i	0.544941	+	0.0783506i
$917$	13.9564	−	3.03603i	0.460881	−	0.100259i
$918$	0.0442858	−	0.619197i	0.00146165	−	0.0204365i
$919$	41.2334			1.36016			0.680082	−	0.733136i	$-0.261944\pi$
$919$	41.2334			1.36016			0.680082	+	0.733136i	$0.261944\pi$
$920$	7.96286	−	7.18282i	0.262528	−	0.236811i
$921$	8.53307			0.281174
$922$	2.95663	−	41.3391i	0.0973714	−	1.36143i
$923$	−4.94126	+	1.07491i	−0.162644	+	0.0353809i
$924$	−4.99424	−	0.718064i	−0.164299	−	0.0236226i
$925$	−26.9037	−	12.7645i	−0.884589	−	0.419695i
$926$	−0.263593	−	1.83333i	−0.00866220	−	0.0602469i
$927$	23.1960	−	12.6660i	0.761855	−	0.416005i
$928$	1.45448	−	6.68611i	0.0477455	−	0.219482i
$929$	−21.2418	+	9.70082i	−0.696922	+	0.318274i	−0.732186	−	0.681104i	$-0.761500\pi$
$929$	−21.2418	+	9.70082i	−0.696922	+	0.318274i	0.0352644	+	0.999378i	$0.488773\pi$
$930$	18.9814	−	15.0689i	0.622424	−	0.494129i
$931$	−8.97687	−	7.77851i	−0.294205	−	0.254930i
$932$	−18.4635	+	1.32053i	−0.604792	+	0.0432556i
$933$	−29.9783	+	54.9011i	−0.981444	+	1.79738i
$934$	13.6866	+	29.9695i	0.447839	+	0.980631i
$935$	0.877143	−	0.151650i	0.0286856	−	0.00495948i
$936$	−0.595769	−	0.174933i	−0.0194733	−	0.00571788i
$937$	−11.8764	−	8.89055i	−0.387985	−	0.290442i	0.387424	−	0.921902i	$-0.373365\pi$
$937$	−11.8764	−	8.89055i	−0.387985	−	0.290442i	−0.775408	+	0.631460i	$0.782456\pi$
$938$	−0.608574	−	1.63165i	−0.0198707	−	0.0532753i
$939$	8.29193	−	57.6716i	0.270597	−	1.88204i
$940$	9.79054	−	6.69228i	0.319332	−	0.218278i
$941$	−37.3314	+	32.3479i	−1.21697	+	1.05451i	−0.220097	+	0.975478i	$0.570637\pi$
$941$	−37.3314	+	32.3479i	−1.21697	+	1.05451i	−0.996872	+	0.0790318i	$0.974817\pi$
$942$	16.7053	−	16.7053i	0.544289	−	0.544289i
$943$	−0.0673570	−	0.106784i	−0.00219345	−	0.00347737i
$944$		−	12.9642i		−	0.421948i
$945$	7.36163	+	3.75243i	0.239474	+	0.122067i
$946$	−11.6221	−	7.46909i	−0.377868	−	0.242841i
$947$	17.0299	−	12.7484i	0.553397	−	0.414268i	−0.285644	−	0.958336i	$-0.592207\pi$
$947$	17.0299	−	12.7484i	0.553397	−	0.414268i	0.839041	+	0.544068i	$0.183117\pi$
$948$	−27.9949	+	10.4416i	−0.909233	+	0.339126i
$949$	5.30903	−	0.763323i	0.172338	−	0.0247785i
$950$	10.1326	+	3.13661i	0.328743	+	0.101765i
$951$	43.8195	−	28.1611i	1.42094	−	0.913185i
$952$	0.0822365	−	0.220485i	0.00266530	−	0.00714595i
$953$	0.588201	+	0.321182i	0.0190537	+	0.0104041i	0.488748	−	0.872425i	$-0.337454\pi$
$953$	0.588201	+	0.321182i	0.0190537	+	0.0104041i	−0.469694	+	0.882829i	$0.655636\pi$
$954$	0.542428	−	0.625995i	0.0175617	−	0.0202673i
$955$	14.0260	+	4.78234i	0.453871	+	0.154753i
$956$	−9.90644	+	2.90879i	−0.320397	+	0.0940771i
$957$	−27.3312	−	10.1940i	−0.883491	−	0.329525i
$958$	−24.5015	−	5.32998i	−0.791608	−	0.172204i
$959$	−6.17510	+	21.0304i	−0.199404	+	0.679109i
$960$	−1.21111	+	4.60451i	−0.0390883	+	0.148610i
$961$	−2.11393	+	4.62886i	−0.0681913	+	0.149318i
$962$	1.44499	+	1.93028i	0.0465883	+	0.0622346i
$963$	−1.50681	−	6.92668i	−0.0485561	−	0.223209i
$964$	−1.73795	−	2.00570i	−0.0559754	−	0.0645991i
$965$	−16.3457	+	38.6612i	−0.526187	+	1.24455i
$966$	−12.0618	+	0.760227i	−0.388082	+	0.0244599i
$967$	35.7814	+	35.7814i	1.15065	+	1.15065i	0.986422	+	0.164232i	$0.0525145\pi$
$967$	35.7814	+	35.7814i	1.15065	+	1.15065i	0.164232	+	0.986422i	$0.447486\pi$
$968$	−6.97345	−	0.498751i	−0.224135	−	0.0160305i
$969$	−0.485546	+	0.755524i	−0.0155980	+	0.0242709i
$970$	3.85578	+	15.5806i	0.123802	+	0.500264i
$971$	4.11286	+	1.87828i	0.131988	+	0.0602769i	0.480314	−	0.877096i	$-0.340523\pi$
$971$	4.11286	+	1.87828i	0.131988	+	0.0602769i	−0.348326	+	0.937373i	$0.613250\pi$
$972$	8.74044	−	11.6759i	0.280350	−	0.374503i
$973$	−10.4237	−	19.0895i	−0.334168	−	0.611982i
$974$	−20.7820	−	32.3374i	−0.665897	−	1.03616i
$975$	−1.56508	+	4.01605i	−0.0501228	+	0.128617i
$976$	−3.71486	−	12.6517i	−0.118910	−	0.404970i
$977$	2.49367	+	34.8661i	0.0797796	+	1.11546i	0.866839	+	0.498588i	$0.166148\pi$
$977$	2.49367	+	34.8661i	0.0797796	+	1.11546i	−0.787060	+	0.616877i	$0.788398\pi$
$978$	−1.98804	−	27.7964i	−0.0635704	−	0.888830i
$979$	−0.714623	−	2.43378i	−0.0228395	−	0.0777840i
$980$	−9.10096	−	8.59819i	−0.290720	−	0.274659i
$981$	12.3803	+	19.2641i	0.395272	+	0.615056i
$982$	−1.48983	−	2.72842i	−0.0475424	−	0.0870675i
$983$	−27.6448	+	36.9291i	−0.881732	+	1.17786i	0.101380	+	0.994848i	$0.467674\pi$
$983$	−27.6448	+	36.9291i	−0.881732	+	1.17786i	−0.983111	+	0.183008i	$0.941417\pi$
$984$	0.0509880	+	0.0232854i	0.00162544	+	0.000742312i
$985$	8.71802	−	14.4519i	0.277779	−	0.460477i
$986$	0.735529	−	1.14451i	0.0234240	−	0.0364485i
$987$	−13.3313	−	0.953474i	−0.424340	−	0.0303494i
$988$	−0.607311	−	0.607311i	−0.0193211	−	0.0193211i
$989$	−30.9064	−	11.8261i	−0.982766	−	0.376049i
$990$	6.32421	+	2.67383i	0.200996	+	0.0849800i
$991$	−6.94872	−	8.01925i	−0.220733	−	0.254740i	0.634573	−	0.772863i	$-0.281176\pi$
$991$	−6.94872	−	8.01925i	−0.220733	−	0.254740i	−0.855306	+	0.518124i	$0.826631\pi$
$992$	1.08202	+	4.97398i	0.0343543	+	0.157924i
$993$	8.45355	+	11.2926i	0.268265	+	0.358361i
$994$	6.14098	−	13.4469i	0.194780	−	0.426509i
$995$	−16.2095	−	27.7798i	−0.513875	−	0.880680i
$996$	1.68077	−	5.72416i	0.0532571	−	0.181377i
$997$	16.9167	+	3.68000i	0.535757	+	0.116547i	0.472300	−	0.881438i	$-0.343424\pi$
$997$	16.9167	+	3.68000i	0.535757	+	0.116547i	0.0634567	+	0.997985i	$0.479788\pi$
$998$	−19.2922	−	7.19561i	−0.610683	−	0.227773i
$999$	−17.8415	+	5.23872i	−0.564479	+	0.165746i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.217.5	yes	240
5.3	odd	4	inner	230.2.l.a.33.11	yes	240
23.7	odd	22	inner	230.2.l.a.7.11	✓	240
115.53	even	44	inner	230.2.l.a.53.5	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.7.11	✓	240	23.7	odd	22	inner
230.2.l.a.33.11	yes	240	5.3	odd	4	inner
230.2.l.a.53.5	yes	240	115.53	even	44	inner
230.2.l.a.217.5	yes	240	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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+(-0.0713392 + 0.997452i) q^{2} +(2.08058 - 0.452602i) q^{3} +(-0.989821 - 0.142315i) q^{4} +(0.0961239 - 2.23400i) q^{5} +(0.303022 + 2.10757i) q^{6} +(1.03877 - 0.567213i) q^{7} +(0.212565 - 0.977147i) q^{8} +(1.39507 - 0.637105i) q^{9} +(2.22145 + 0.255251i) q^{10} +(1.51315 + 1.31115i) q^{11} +(-2.12381 + 0.151898i) q^{12} +(0.194030 - 0.355339i) q^{13} +(0.491662 + 1.07659i) q^{14} +(-0.811121 - 4.69152i) q^{15} +(0.959493 + 0.281733i) q^{16} +(0.159170 + 0.119153i) q^{17} +(0.535959 + 1.43696i) q^{18} +(-0.301905 + 2.09979i) q^{19} +(-0.413077 + 2.19758i) q^{20} +(1.90453 - 1.65028i) q^{21} +(-1.41576 + 1.41576i) q^{22} +(-2.62684 + 4.01244i) q^{23} -2.12924i q^{24} +(-4.98152 - 0.429482i) q^{25} +(0.340591 + 0.218885i) q^{26} +(-2.49944 + 1.87106i) q^{27} +(-1.10892 + 0.413607i) q^{28} +(-6.77284 + 0.973787i) q^{29} +(4.73743 - 0.474365i) q^{30} +(4.28224 - 2.75203i) q^{31} +(-0.349464 + 0.936950i) q^{32} +(3.74166 + 2.04310i) q^{33} +(-0.130205 + 0.150264i) q^{34} +(-1.16730 - 2.37514i) q^{35} +(-1.47154 + 0.432082i) q^{36} +(5.58014 + 2.08129i) q^{37} +(-2.07291 - 0.450933i) q^{38} +(0.242867 - 0.827129i) q^{39} +(-2.16251 - 0.568798i) q^{40} +(-0.0109360 + 0.0239466i) q^{41} +(1.51021 + 2.01740i) q^{42} +(1.46672 + 6.74241i) q^{43} +(-1.31115 - 1.51315i) q^{44} +(-1.28919 - 3.17782i) q^{45} +(-3.81482 - 2.90639i) q^{46} +(-3.75022 - 3.75022i) q^{47} +(2.12381 + 0.151898i) q^{48} +(-3.02717 + 4.71036i) q^{49} +(0.783765 - 4.93819i) q^{50} +(0.385095 + 0.175867i) q^{51} +(-0.242625 + 0.324109i) q^{52} +(-0.258836 - 0.474023i) q^{53} +(-1.68798 - 2.62655i) q^{54} +(3.07456 - 3.25434i) q^{55} +(-0.333443 - 1.13560i) q^{56} +(0.322235 + 4.50543i) q^{57} +(-0.488137 - 6.82505i) q^{58} +(-3.65243 - 12.4390i) q^{59} +(0.135191 + 4.75920i) q^{60} +(-7.12877 - 11.0926i) q^{61} +(2.43953 + 4.46766i) q^{62} +(1.08778 - 1.45311i) q^{63} +(-0.909632 - 0.415415i) q^{64} +(-0.775176 - 0.467619i) q^{65} +(-2.30482 + 3.58637i) q^{66} +(-1.46764 - 0.104967i) q^{67} +(-0.140593 - 0.140593i) q^{68} +(-3.64931 + 9.53712i) q^{69} +(2.45236 - 0.994888i) q^{70} +(-8.17937 - 9.43950i) q^{71} +(-0.326003 - 1.49861i) q^{72} +(7.93925 + 10.6056i) q^{73} +(-2.47407 + 5.41745i) q^{74} +(-10.5588 + 1.36108i) q^{75} +(0.597663 - 2.03545i) q^{76} +(2.31552 + 0.503710i) q^{77} +(0.807695 + 0.301255i) q^{78} +(13.4642 - 3.95345i) q^{79} +(0.721621 - 2.11643i) q^{80} +(-7.36644 + 8.50133i) q^{81} +(-0.0231054 - 0.0126165i) q^{82} +(-0.979148 + 2.62520i) q^{83} +(-2.12000 + 1.36244i) q^{84} +(0.281488 - 0.344132i) q^{85} +(-6.82987 + 0.981986i) q^{86} +(-13.6507 + 5.09145i) q^{87} +(1.60283 - 1.19986i) q^{88} +(-1.06577 - 0.684929i) q^{89} +(3.26169 - 1.05921i) q^{90} -0.479172i q^{91} +(3.17114 - 3.59776i) q^{92} +(7.66397 - 7.66397i) q^{93} +(4.00820 - 3.47312i) q^{94} +(4.66192 + 0.876295i) q^{95} +(-0.303022 + 2.10757i) q^{96} +(2.50848 + 6.72549i) q^{97} +(-4.48241 - 3.35549i) q^{98} +(2.94628 + 0.865107i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46}+ \cdots + 24 q^{98}+O(q^{100}) \) 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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