LMFDB - Embedded newform 230.2.l.a.53.5

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			53.5
Character	$\chi$	$=$	230.53
Dual form			230.2.l.a.217.5

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

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{19}{22}\right)$

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	0.768282	−	0.640112i	$-0.221112\pi$
$3$	2.08058	+	0.452602i	1.20122	+	0.261310i	0.432941	+	0.901422i	$0.357476\pi$
$4$	−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	0.663417	−	0.748250i	$-0.269106\pi$
$7$	1.03877	+	0.567213i	0.392619	+	0.214386i	−0.270798	+	0.962636i	$0.587287\pi$
$8$	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	−0.396201	−	0.918164i	$-0.629672\pi$
$11$	1.51315	−	1.31115i	0.456231	−	0.395327i	0.852433	+	0.522837i	$0.175126\pi$
$12$	−2.12381	−	0.151898i	−0.613092	−	0.0438492i
$13$	0.194030	+	0.355339i	0.0538141	+	0.0985532i	0.903202	−	0.429216i	$-0.141210\pi$
$13$	0.194030	+	0.355339i	0.0538141	+	0.0985532i	−0.849388	+	0.527770i	$0.823028\pi$
$14$	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	−0.579801	−	0.814758i	$-0.696870\pi$
$17$	0.159170	−	0.119153i	0.0386044	−	0.0288989i	0.618406	+	0.785859i	$0.287779\pi$
$18$	0.535959	−	1.43696i	0.126327	−	0.338695i
$19$	−0.301905	−	2.09979i	−0.0692617	−	0.481726i	−0.994699	−	0.102826i	$-0.967212\pi$
$19$	−0.301905	−	2.09979i	−0.0692617	−	0.481726i	0.925438	−	0.378900i	$-0.123697\pi$
$20$	−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	−0.518939	−	0.854811i	$-0.673673\pi$
$29$	−6.77284	−	0.973787i	−1.25768	−	0.180828i	−0.738746	+	0.673984i	$0.764582\pi$
$30$	4.73743	+	0.474365i	0.864933	+	0.0866068i
$31$	4.28224	+	2.75203i	0.769114	+	0.494279i	0.865404	−	0.501074i	$-0.167062\pi$
$31$	4.28224	+	2.75203i	0.769114	+	0.494279i	−0.0962909	+	0.995353i	$0.530698\pi$
$32$	−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	0.153961	−	0.988077i	$-0.450797\pi$
$37$	5.58014	−	2.08129i	0.917370	−	0.342161i	0.763409	+	0.645916i	$0.223524\pi$
$38$	−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	0.908776	−	0.417284i	$-0.137018\pi$
$41$	−0.0109360	−	0.0239466i	−0.00170792	−	0.00373983i	−0.910484	+	0.413544i	$0.864291\pi$
$42$	1.51021	−	2.01740i	0.233030	−	0.311292i
$43$	1.46672	−	6.74241i	0.223673	−	1.02821i	−0.719135	−	0.694871i	$-0.755462\pi$
$43$	1.46672	−	6.74241i	0.223673	−	1.02821i	0.942808	−	0.333337i	$-0.108175\pi$
$44$	−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	−0.925579	−	0.378554i	$-0.876421\pi$
$47$	−3.75022	+	3.75022i	−0.547025	+	0.547025i	0.378554	+	0.925579i	$0.376421\pi$
$48$	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	−0.894852	−	0.446363i	$-0.852719\pi$
$53$	−0.258836	+	0.474023i	−0.0355539	+	0.0651121i	0.859298	+	0.511475i	$0.170901\pi$
$54$	−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	0.277020	+	0.960864i	$0.410653\pi$
$59$	−3.65243	+	12.4390i	−0.475506	+	1.61943i	−0.752527	+	0.658562i	$0.771165\pi$
$60$	0.135191	−	4.75920i	0.0174531	−	0.614411i
$61$	−7.12877	+	11.0926i	−0.912745	+	1.42026i	−0.00534774	+	0.999986i	$0.501702\pi$
$61$	−7.12877	+	11.0926i	−0.912745	+	1.42026i	−0.907397	+	0.420274i	$0.861934\pi$
$62$	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	−0.160701	−	0.987003i	$-0.551375\pi$
$67$	−1.46764	+	0.104967i	−0.179300	+	0.0128238i	−0.0185997	+	0.999827i	$0.505921\pi$
$68$	−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	0.0220000	+	0.999758i	$0.492997\pi$
$71$	−8.17937	+	9.43950i	−0.970713	+	1.12026i	−0.992713	+	0.120504i	$0.961549\pi$
$72$	−0.326003	+	1.49861i	−0.0384198	+	0.176613i
$73$	7.93925	−	10.6056i	0.929219	−	1.24129i	−0.0410243	−	0.999158i	$-0.513062\pi$
$73$	7.93925	−	10.6056i	0.929219	−	1.24129i	0.970243	−	0.242133i	$-0.0778470\pi$
$74$	−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	0.930371	−	0.366618i	$-0.119485\pi$
$79$	13.4642	+	3.95345i	1.51484	+	0.444797i	0.584469	+	0.811416i	$0.301303\pi$
$80$	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	0.872068	−	0.489384i	$-0.162778\pi$
$83$	−0.979148	−	2.62520i	−0.107475	−	0.288153i	−0.979544	+	0.201231i	$0.935506\pi$
$84$	−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	−0.595906	−	0.803054i	$-0.703207\pi$
$89$	−1.06577	+	0.684929i	−0.112971	+	0.0726023i	0.482935	+	0.875656i	$0.339571\pi$
$90$	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	−0.745175	−	0.666870i	$-0.767634\pi$
$97$	2.50848	−	6.72549i	0.254697	−	0.682870i	0.999872	−	0.0160008i	$-0.00509344\pi$
$98$	−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	−0.831481	−	0.555553i	$-0.812506\pi$
$101$	1.33545	−	2.92424i	0.132883	−	0.290972i	0.964363	+	0.264581i	$0.0852337\pi$
$102$	−0.202891	−	0.371567i	−0.0200892	−	0.0367906i
$103$	17.1886	+	1.22935i	1.69364	+	0.121132i	0.884517	−	0.466508i	$-0.154488\pi$
$103$	17.1886	+	1.22935i	1.69364	+	0.121132i	0.809123	+	0.587639i	$0.199943\pi$
$104$	−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	0.999938	+	0.0111179i	$0.00353900\pi$
$107$	0.982491	+	4.51644i	0.0949809	+	0.436620i	−0.904957	+	0.425502i	$0.860097\pi$
$108$	2.74028	+	1.49631i	0.263684	+	0.143982i
$109$	2.12492	−	14.7792i	0.203531	−	1.41559i	−0.590170	−	0.807279i	$-0.700939\pi$
$109$	2.12492	−	14.7792i	0.203531	−	1.41559i	0.793701	−	0.608309i	$-0.208152\pi$
$110$	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	−0.999369	−	0.0355111i	$-0.988694\pi$
$113$	−0.161853	−	2.26301i	−0.0152259	−	0.212886i	0.984143	−	0.177375i	$-0.0567604\pi$
$114$	−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	0.0612796	−	0.998121i	$-0.480482\pi$
$127$	−0.226649	−	0.0162103i	−0.0201119	−	0.00143843i	−0.0813915	+	0.996682i	$0.525936\pi$
$128$	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	0.266428	−	0.963855i	$-0.414156\pi$
$131$	11.5790	−	3.39990i	1.01166	−	0.297051i	0.745233	+	0.666804i	$0.232338\pi$
$132$	−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	−0.991920	−	0.126865i	$-0.959508\pi$
$137$	−13.0950	−	13.0950i	−1.11879	−	1.11879i	−0.126865	−	0.991920i	$-0.540492\pi$
$138$	−9.25248	+	4.32039i	−0.787624	+	0.367776i
$139$			18.3770i			1.55872i	0.626578	+	0.779359i	$0.284455\pi$
$139$			18.3770i			1.55872i	−0.626578	+	0.779359i	$0.715545\pi$
$140$	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	0.813424	−	0.581672i	$-0.197601\pi$
$149$	1.48811	+	1.71737i	0.121911	+	0.140692i	−0.691513	+	0.722364i	$0.743056\pi$
$150$	−0.604351	+	10.6290i	−0.0493450	+	0.867857i
$151$	6.77317	+	1.98878i	0.551193	+	0.161845i	0.545457	−	0.838139i	$-0.316356\pi$
$151$	6.77317	+	1.98878i	0.551193	+	0.161845i	0.00573571	+	0.999984i	$0.498174\pi$
$152$	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	−0.983133	−	0.182892i	$-0.941454\pi$
$157$	−6.64926	+	8.88237i	−0.530669	+	0.708891i	0.452464	+	0.891783i	$0.350545\pi$
$158$	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	−0.572513	−	0.819896i	$-0.694031\pi$
$163$	−13.0546	+	0.933684i	−1.02252	+	0.0731318i	−0.450003	+	0.893027i	$0.648577\pi$
$164$	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	0.999941	−	0.0108353i	$-0.00344906\pi$
$167$	9.14716	+	12.2192i	0.707829	+	0.945549i	−0.292112	+	0.956384i	$0.594358\pi$
$168$	−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	−0.909014	−	0.416766i	$-0.863164\pi$
$173$	0.658430	−	9.20605i	0.0500595	−	0.699923i	0.959073	−	0.283157i	$-0.0913818\pi$
$174$	−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	−0.940268	−	0.340435i	$-0.889426\pi$
$179$	−17.3758	+	7.93526i	−1.29873	+	0.593109i	−0.358461	+	0.933545i	$0.616698\pi$
$180$	0.823822	−	3.32895i	0.0614040	−	0.248125i
$181$	11.2136	+	17.4486i	0.833497	+	1.29695i	0.952649	+	0.304071i	$0.0983461\pi$
$181$	11.2136	+	17.4486i	0.833497	+	1.29695i	−0.119152	+	0.992876i	$0.538018\pi$
$182$	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	0.863956	−	0.503567i	$-0.167979\pi$
$191$	−1.86710	−	6.35876i	−0.135099	−	0.460104i	−0.999055	+	0.0434627i	$0.986161\pi$
$192$	−2.08058	+	0.452602i	−0.150153	+	0.0326638i
$193$	−17.5881	+	6.56001i	−1.26602	+	0.472200i	−0.890656	−	0.454678i	$-0.849754\pi$
$193$	−17.5881	+	6.56001i	−1.26602	+	0.472200i	−0.375362	+	0.926878i	$0.622481\pi$
$194$	−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	−0.225603	−	0.974219i	$-0.572435\pi$
$197$	6.62474	−	3.61738i	0.471993	−	0.257728i	0.697596	+	0.716492i	$0.254253\pi$
$198$	−1.07309	−	2.87706i	−0.0762610	−	0.204464i
$199$	12.1004	+	7.77646i	0.857775	+	0.551259i	0.893991	−	0.448085i	$-0.147894\pi$
$199$	12.1004	+	7.77646i	0.857775	+	0.551259i	−0.0362157	+	0.999344i	$0.511530\pi$
$200$	−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	0.997413	−	0.0718903i	$-0.0229031\pi$
$211$	0.292672	+	2.03558i	0.0201484	+	0.140135i	−0.977264	+	0.212025i	$0.931994\pi$
$212$	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	−0.149608	−	0.988745i	$-0.547801\pi$
$223$	−15.8632	−	8.66196i	−1.06228	−	0.580048i	−0.912670	+	0.408697i	$0.865983\pi$
$224$	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	0.716998	−	0.697075i	$-0.245515\pi$
$227$	16.2662	+	3.53850i	1.07963	+	0.234859i	0.362629	+	0.931933i	$0.381879\pi$
$228$	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	0.761514	−	0.648149i	$-0.224457\pi$
$233$	18.0876	+	3.93472i	1.18496	+	0.257772i	0.423446	+	0.905921i	$0.360820\pi$
$234$	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	0.695318	−	0.718702i	$-0.255264\pi$
$239$	9.39164	+	4.28902i	0.607495	+	0.277434i	−0.0878228	+	0.996136i	$0.527991\pi$
$240$	0.543490	+	4.73000i	0.0350821	+	0.305320i
$241$	2.00570	−	1.73795i	0.129198	−	0.111951i	−0.587865	−	0.808959i	$-0.700031\pi$
$241$	2.00570	−	1.73795i	0.129198	−	0.111951i	0.717063	+	0.697008i	$0.245486\pi$
$242$	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	0.575745	−	0.817629i	$-0.304712\pi$
$251$	−2.40219	−	2.08151i	−0.151625	−	0.131384i	−0.727370	+	0.686246i	$0.759257\pi$
$252$	−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	0.534410	−	0.845226i	$-0.320534\pi$
$257$	−2.02021	−	1.51231i	−0.126018	−	0.0943355i	−0.660427	+	0.750890i	$0.729625\pi$
$258$	−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	−0.979279	−	0.202516i	$-0.935088\pi$
$263$	−21.7044	+	11.8515i	−1.33835	+	0.730794i	−0.359071	+	0.933310i	$0.616906\pi$
$264$	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	0.997740	+	0.0671917i	$0.0214039\pi$
$269$	3.19355	+	10.8762i	0.194714	+	0.663136i	−0.803026	+	0.595944i	$0.796778\pi$
$270$	−6.02998	−	3.51848i	−0.366973	−	0.214128i
$271$	5.66163	+	12.3972i	0.343920	+	0.753079i	0.999999	−	0.00161319i	$-0.000513495\pi$
$271$	5.66163	+	12.3972i	0.343920	+	0.753079i	−0.656079	+	0.754692i	$0.727786\pi$
$272$	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	−0.908785	−	0.417264i	$-0.862989\pi$
$277$	−8.18053	+	8.18053i	−0.491521	+	0.491521i	0.417264	+	0.908785i	$0.362989\pi$
$278$	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	−0.634287	−	0.773098i	$-0.718706\pi$
$281$	−7.80132	+	3.56274i	−0.465388	+	0.212536i	0.168899	+	0.985633i	$0.445979\pi$
$282$	6.76743	+	9.04023i	0.402995	+	0.538338i
$283$	7.31169	−	13.3904i	0.434635	−	0.795974i	−0.564940	−	0.825132i	$-0.691101\pi$
$283$	7.31169	−	13.3904i	0.434635	−	0.795974i	0.999575	+	0.0291578i	$0.00928252\pi$
$284$	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	0.818893	+	0.573946i	$0.194588\pi$
$293$	19.4945	+	26.0416i	1.13888	+	1.52137i	0.319989	+	0.947421i	$0.396321\pi$
$294$	−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	−0.0994222	−	0.995045i	$-0.531699\pi$
$307$	3.91598	−	0.851870i	0.223497	−	0.0486188i	0.322919	+	0.946427i	$0.395336\pi$
$308$	−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	−0.963667	−	0.267107i	$-0.913932\pi$
$311$	−19.2384	−	22.2023i	−1.09091	−	1.25898i	−0.127245	−	0.991871i	$-0.540613\pi$
$312$	−0.756601	+	0.413135i	−0.0428341	+	0.0233892i
$313$	9.56277	+	25.6388i	0.540520	+	1.44919i	0.864261	+	0.503044i	$0.167787\pi$
$313$	9.56277	+	25.6388i	0.540520	+	1.44919i	−0.323741	+	0.946146i	$0.604941\pi$
$314$	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	0.897625	−	0.440760i	$-0.145291\pi$
$317$	22.9209	+	8.54906i	1.28737	+	0.480163i	0.389743	+	0.920924i	$0.372564\pi$
$318$	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	−0.818792	−	0.574090i	$-0.805356\pi$
$331$	2.75213	−	6.02632i	0.151271	−	0.331237i	0.970063	+	0.242853i	$0.0780833\pi$
$332$	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	−0.870745	−	0.491734i	$-0.836363\pi$
$337$	−5.19448	−	23.8786i	−0.282961	−	1.30075i	0.587784	−	0.809018i	$-0.300000\pi$
$338$	−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	0.878999	+	0.476823i	$0.158212\pi$
$347$	1.43074	+	20.0043i	0.0768060	+	1.07389i	−0.802193	+	0.597064i	$0.796334\pi$
$348$	14.2363	+	3.09693i	0.763148	+	0.166013i
$349$	−5.05279	+	0.726482i	−0.270470	+	0.0388877i	−0.276215	−	0.961096i	$-0.589080\pi$
$349$	−5.05279	+	0.726482i	−0.270470	+	0.0388877i	0.00574545	+	0.999983i	$0.498171\pi$
$350$	−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	−0.410803	−	0.911724i	$-0.634752\pi$
$353$	−7.81344	−	35.9178i	−0.415867	−	1.91171i	−0.00506422	−	0.999987i	$-0.501612\pi$
$354$	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	−0.999076	−	0.0429799i	$-0.986315\pi$
$359$	−5.91797	+	12.9585i	−0.312338	+	0.683925i	0.686738	+	0.726905i	$0.259042\pi$
$360$	−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	0.419333	−	0.907832i	$-0.362264\pi$
$367$	−9.35829	−	9.35829i	−0.488499	−	0.488499i	−0.907832	+	0.419333i	$0.862264\pi$
$368$	−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	0.941779	−	0.336233i	$-0.109153\pi$
$373$	27.6824	+	10.3250i	1.43334	+	0.534609i	0.491563	+	0.870842i	$0.336426\pi$
$374$	−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	0.999961	−	0.00878623i	$-0.00279678\pi$
$379$	16.5274	+	19.0736i	0.848955	+	0.979747i	−0.151006	+	0.988533i	$0.548251\pi$
$380$	−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	0.0701648	−	0.997535i	$-0.477647\pi$
$383$	10.7320	−	2.33461i	0.548380	−	0.119293i	0.478215	+	0.878243i	$0.341284\pi$
$384$	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	0.110412	+	0.993886i	$0.464783\pi$
$389$	−17.5352	+	20.2367i	−0.889070	+	1.02604i	−0.999483	+	0.0321561i	$0.989763\pi$
$390$	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	0.747323	−	0.664461i	$-0.231339\pi$
$397$	−2.00778	−	2.68208i	−0.100768	−	0.134610i	−0.848091	+	0.529851i	$0.822248\pi$
$398$	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	−0.935080	−	0.354437i	$-0.884673\pi$
$401$	0.864728	−	2.94499i	0.0431825	−	0.147066i	0.978262	+	0.207371i	$0.0664907\pi$
$402$	−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	−0.584988	−	0.811042i	$-0.698901\pi$
$409$	−7.18206	+	3.27994i	−0.355130	+	0.162183i	0.229858	+	0.973224i	$0.426174\pi$
$410$	−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	0.781728	−	0.623620i	$-0.214339\pi$
$419$	−4.12451	−	9.03141i	−0.201495	−	0.441213i	−0.983223	+	0.182406i	$0.941611\pi$
$420$	2.83991	−	4.86705i	0.138574	−	0.237488i
$421$	−3.83028	−	13.0447i	−0.186676	−	0.635762i	−0.998644	−	0.0520590i	$-0.983422\pi$
$421$	−3.83028	−	13.0447i	−0.186676	−	0.635762i	0.811968	−	0.583703i	$-0.198397\pi$
$422$	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	0.238798	−	0.971069i	$-0.423247\pi$
$431$	4.03462	+	0.580091i	0.194341	+	0.0279420i	−0.0444570	+	0.999011i	$0.514156\pi$
$432$	−2.92533	−	1.09109i	−0.140745	−	0.0524953i
$433$	−24.8573	−	18.6079i	−1.19457	−	0.894241i	−0.198262	−	0.980149i	$-0.563530\pi$
$433$	−24.8573	−	18.6079i	−1.19457	−	0.894241i	−0.996303	+	0.0859085i	$0.972621\pi$
$434$	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	0.0838105	−	0.996482i	$-0.473291\pi$
$439$	−18.6602	−	16.1691i	−0.890601	−	0.771710i	−0.974411	+	0.224772i	$0.927836\pi$
$440$	−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	−0.620090	−	0.784530i	$-0.712904\pi$
$443$	−0.884810	+	0.662361i	−0.0420386	+	0.0314697i	0.578052	+	0.816000i	$0.303813\pi$
$444$	−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	−0.510267	−	0.860016i	$-0.670453\pi$
$449$	5.68681	−	4.92765i	0.268377	−	0.232550i	0.778644	+	0.627466i	$0.215908\pi$
$450$	−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	0.451832	−	0.892103i	$-0.350771\pi$
$457$	10.5229	+	2.28912i	0.492241	+	0.107080i	0.0404082	+	0.999183i	$0.487134\pi$
$458$	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	0.170313	−	0.985390i	$-0.445522\pi$
$463$	−1.80985	−	0.393709i	−0.0841110	−	0.0182972i	−0.254424	+	0.967093i	$0.581886\pi$
$464$	−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	0.979236	−	0.202726i	$-0.0649799\pi$
$467$	28.9167	+	15.7897i	1.33811	+	0.730662i	0.358871	+	0.933387i	$0.383162\pi$
$468$	−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	−0.892847	−	0.450361i	$-0.851295\pi$
$479$	−3.56848	−	24.8193i	−0.163048	−	1.13402i	0.729799	−	0.683662i	$-0.239614\pi$
$480$	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	−0.991705	−	0.128538i	$-0.958972\pi$
$487$	−30.7724	−	23.0359i	−1.39443	−	1.04386i	−0.402726	−	0.915320i	$-0.631937\pi$
$488$	−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	0.480298	−	0.877105i	$-0.340528\pi$
$491$	−2.61519	−	1.68068i	−0.118022	−	0.0758480i	−0.598320	+	0.801257i	$0.704165\pi$
$492$	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	−0.981360	−	0.192181i	$-0.938444\pi$
$499$	−5.80099	−	19.7564i	−0.259688	−	0.884416i	0.721672	−	0.692236i	$-0.243374\pi$
$500$	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	−0.894899	−	0.446269i	$-0.852752\pi$
$503$	2.34407	−	10.7755i	0.104517	−	0.480456i	0.999415	−	0.0341865i	$-0.0108840\pi$
$504$	−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	−0.999945	−	0.0104974i	$-0.996659\pi$
$509$	−13.4035	−	20.8563i	−0.594102	−	0.924440i	0.405843	−	0.913943i	$-0.366978\pi$
$510$	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	−0.616621	−	0.787260i	$-0.711499\pi$
$521$	8.11785	−	12.6316i	0.355650	−	0.553401i	0.972271	+	0.233859i	$0.0751353\pi$
$522$	−5.02926	+	9.21040i	−0.220125	+	0.403128i
$523$	17.2952	+	23.1036i	0.756264	+	1.01025i	0.999191	+	0.0402062i	$0.0128015\pi$
$523$	17.2952	+	23.1036i	0.756264	+	1.01025i	−0.242927	+	0.970045i	$0.578108\pi$
$524$	−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	0.196251	−	0.980554i	$-0.437123\pi$
$541$	−18.6599	−	21.5347i	−0.802252	−	0.925848i	−0.998503	+	0.0547059i	$0.982578\pi$
$542$	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	0.393768	−	0.919210i	$-0.371171\pi$
$547$	2.09099	+	0.779899i	0.0894043	+	0.0333461i	−0.304364	+	0.952556i	$0.598444\pi$
$548$	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	−0.936456	−	0.350785i	$-0.885915\pi$
$557$	0.0232654	−	0.0623770i	0.000985788	−	0.00264300i	0.937442	+	0.348142i	$0.113187\pi$
$558$	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	0.194903	−	0.980823i	$-0.437561\pi$
$563$	5.89005	+	0.421265i	0.248236	+	0.0177542i	0.0533333	+	0.998577i	$0.483015\pi$
$564$	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	−0.410317	−	0.911943i	$-0.634582\pi$
$569$	5.73213	−	39.8678i	0.240303	−	1.67135i	0.650620	−	0.759403i	$-0.274509\pi$
$570$	−0.434185	−	10.0908i	−0.0181860	−	0.422659i
$571$	26.2360	−	3.77217i	1.09794	−	0.157860i	0.430550	−	0.902567i	$-0.358319\pi$
$571$	26.2360	−	3.77217i	1.09794	−	0.157860i	0.667392	+	0.744706i	$0.267410\pi$
$572$	−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	−0.998118	−	0.0613205i	$-0.980469\pi$
$577$	−0.453663	−	6.34303i	−0.0188862	−	0.264064i	0.979232	−	0.202743i	$-0.0649857\pi$
$578$	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	0.679188	−	0.733964i	$-0.262332\pi$
$587$	30.2126	+	2.16085i	1.24701	+	0.0891879i	0.567821	+	0.823152i	$0.307787\pi$
$588$	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	−0.142031	−	0.989862i	$-0.545363\pi$
$593$	14.9405	−	40.0569i	0.613531	−	1.64494i	0.755562	−	0.655078i	$-0.227364\pi$
$594$	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	$0.0328840\pi$
$599$			5.04783i			0.206249i	−0.994668	+	0.103124i	$0.967116\pi$
$600$	−0.914469	−	10.6068i	−0.0373330	−	0.433023i
$601$	−23.9329	+	15.3807i	−0.976242	+	0.627393i	−0.928447	−	0.371465i	$-0.878856\pi$
$601$	−23.9329	+	15.3807i	−0.976242	+	0.627393i	−0.0477949	+	0.998857i	$0.515219\pi$
$602$	−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	−0.972050	−	0.234774i	$-0.924565\pi$
$607$	−9.63734	−	25.8387i	−0.391168	−	1.04876i	0.580882	−	0.813987i	$-0.302708\pi$
$608$	−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	−0.780920	−	0.624631i	$-0.785249\pi$
$613$	−30.4977	+	6.63436i	−1.23179	+	0.267959i	−0.450869	+	0.892590i	$0.648886\pi$
$614$	−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	−0.844093	−	0.536196i	$-0.819861\pi$
$617$	−2.28048	+	3.04636i	−0.0918086	+	0.122642i	0.752285	+	0.658838i	$0.228952\pi$
$618$	7.79946	−	35.8535i	0.313740	−	1.44224i
$619$	−9.92087	+	11.4493i	−0.398754	+	0.460186i	−0.919248	−	0.393679i	$-0.871202\pi$
$619$	−9.92087	+	11.4493i	−0.398754	+	0.460186i	0.520494	+	0.853865i	$0.325748\pi$
$620$	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	−0.638247	−	0.769831i	$-0.720340\pi$
$631$	7.90977	−	26.9382i	0.314883	−	1.07239i	0.953130	−	0.302561i	$-0.0978416\pi$
$632$	−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	−0.942368	−	0.334577i	$-0.891406\pi$
$641$	−21.6529	−	33.6925i	−0.855237	−	1.33077i	0.0871317	−	0.996197i	$-0.472230\pi$
$642$	9.81641	−	0.702083i	0.387423	−	0.0277090i
$643$	3.27418	−	3.27418i	0.129121	−	0.129121i	−0.639593	−	0.768714i	$-0.720897\pi$
$643$	3.27418	−	3.27418i	0.129121	−	0.129121i	0.768714	+	0.639593i	$0.220897\pi$
$644$	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	−0.597470	−	0.801891i	$-0.703827\pi$
$647$	7.09989	−	32.6377i	0.279126	−	1.28312i	0.876595	−	0.481228i	$-0.159809\pi$
$648$	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	−0.383575	−	0.923510i	$-0.625307\pi$
$653$	−1.75531	+	0.654698i	−0.0686907	+	0.0256203i	0.314884	+	0.949130i	$0.398034\pi$
$654$	−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	0.990878	−	0.134765i	$-0.0430281\pi$
$659$	32.8567	+	21.1157i	1.27992	+	0.822552i	0.289038	+	0.957317i	$0.406664\pi$
$660$	−6.03547	−	7.37864i	−0.234930	−	0.287213i
$661$	−19.9226	−	2.86444i	−0.774901	−	0.111414i	−0.256491	−	0.966546i	$-0.582567\pi$
$661$	−19.9226	−	2.86444i	−0.774901	−	0.111414i	−0.518409	+	0.855133i	$0.673476\pi$
$662$	−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	−0.393245	−	0.919434i	$-0.628647\pi$
$673$	9.81021	−	7.34383i	0.378156	−	0.283084i	0.771400	+	0.636350i	$0.219557\pi$
$674$	−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	0.835349	−	0.549720i	$-0.185266\pi$
$677$	−2.04846	−	3.75147i	−0.0787287	−	0.144181i	−0.914078	+	0.405539i	$0.867084\pi$
$678$	−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	0.912782	−	0.408447i	$-0.133930\pi$
$683$	27.7719	+	15.1646i	1.06266	+	0.580257i	0.149880	+	0.988704i	$0.452111\pi$
$684$	−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	−0.731991	−	0.681314i	$-0.761409\pi$
$701$	−4.28349	+	3.71166i	−0.161785	+	0.140188i	0.570206	+	0.821502i	$0.306863\pi$
$702$	−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	0.847358	+	0.531021i	$0.178192\pi$
$709$	4.89751	+	34.0630i	0.183930	+	1.27926i	−0.663428	+	0.748240i	$0.730899\pi$
$710$	−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	0.854658	−	0.519192i	$-0.173767\pi$
$719$	40.9834	+	5.89252i	1.52842	+	0.219754i	0.673765	+	0.738946i	$0.264676\pi$
$720$	−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	−0.855419	−	0.517937i	$-0.826700\pi$
$727$	−31.3505	+	11.6931i	−1.16272	+	0.433674i	−0.307306	+	0.951611i	$0.599428\pi$
$728$	−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	0.797216	+	0.603695i	$0.206305\pi$
$733$	−4.83923	+	22.2456i	−0.178741	+	0.821660i	−0.975957	+	0.217965i	$0.930058\pi$
$734$	−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	0.753148	−	0.657851i	$-0.228534\pi$
$739$	−4.29850	−	6.68860i	−0.158123	−	0.246044i	−0.911271	+	0.411807i	$0.864898\pi$
$740$	−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	−0.995806	−	0.0914850i	$-0.970839\pi$
$743$	−10.3709	+	18.9929i	−0.380471	+	0.696780i	0.615336	+	0.788265i	$0.289020\pi$
$744$	−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	−0.926656	−	0.375911i	$-0.877330\pi$
$751$	−5.47454	+	8.51855i	−0.199769	+	0.310846i	0.726887	+	0.686757i	$0.240966\pi$
$752$	−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	−0.297367	−	0.954763i	$-0.596108\pi$
$757$	−12.5415	+	0.896988i	−0.455830	+	0.0326016i	−0.158463	+	0.987365i	$0.550654\pi$
$758$	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	−0.886536	−	0.462661i	$-0.846895\pi$
$761$	−8.34254	+	9.62781i	−0.302417	+	0.349008i	0.584119	+	0.811668i	$0.301440\pi$
$762$	−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	0.894043	−	0.447980i	$-0.147856\pi$
$769$	38.9331	+	11.4318i	1.40396	+	0.412241i	0.509921	+	0.860221i	$0.329675\pi$
$770$	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	0.898170	−	0.439649i	$-0.144897\pi$
$773$	−1.90535	−	5.10843i	−0.0685306	−	0.183738i	−0.966700	+	0.255911i	$0.917624\pi$
$774$	−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	−0.186811	−	0.982396i	$-0.559815\pi$
$787$	16.7677	−	44.9559i	0.597704	−	1.60251i	0.784515	−	0.620110i	$-0.212912\pi$
$788$	−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	−0.737499	−	0.675348i	$-0.763993\pi$
$797$	−9.80176	−	45.0579i	−0.347196	−	1.59603i	0.390303	−	0.920686i	$-0.372370\pi$
$798$	−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	0.206232	−	0.978503i	$-0.433880\pi$
$809$	19.3351	−	2.77997i	0.679786	−	0.0977385i	0.473554	+	0.880765i	$0.342971\pi$
$810$	−18.5342	−	17.0050i	−0.651224	−	0.597495i
$811$	1.04045	−	7.23648i	0.0365351	−	0.254107i	−0.963366	−	0.268191i	$-0.913574\pi$
$811$	1.04045	−	7.23648i	0.0365351	−	0.254107i	0.999901	+	0.0140840i	$0.00448324\pi$
$812$	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	0.142428	−	0.989805i	$-0.454509\pi$
$821$	22.8472	−	6.70856i	0.797374	−	0.234130i	0.654947	+	0.755675i	$0.272691\pi$
$822$	−31.5668	+	23.6306i	−1.10102	+	0.824211i
$823$	−2.51497	+	6.74289i	−0.0876662	+	0.235042i	−0.973383	−	0.229183i	$-0.926395\pi$
$823$	−2.51497	+	6.74289i	−0.0876662	+	0.235042i	0.885717	+	0.464225i	$0.153667\pi$
$824$	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	0.648401	−	0.761299i	$-0.275438\pi$
$827$	−3.24669	−	3.24669i	−0.112898	−	0.112898i	−0.761299	+	0.648401i	$0.775438\pi$
$828$	2.13179	+	7.03946i	0.0740848	+	0.244638i
$829$		−	9.95166i		−	0.345636i	−0.984954	−	0.172818i	$-0.944713\pi$
$829$		−	9.95166i		−	0.345636i	0.984954	−	0.172818i	$-0.0552872\pi$
$830$	−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	0.683816	−	0.729655i	$-0.260319\pi$
$839$	−3.93146	−	4.53715i	−0.135729	−	0.156640i	−0.819545	+	0.573015i	$0.805774\pi$
$840$	−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	−0.598684	−	0.800985i	$-0.704310\pi$
$853$	−31.4633	+	2.25030i	−1.07728	+	0.0770488i	−0.478598	+	0.878034i	$0.658855\pi$
$854$	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	0.853889	−	0.520455i	$-0.174238\pi$
$857$	3.33577	+	4.45607i	0.113948	+	0.152216i	−0.739941	+	0.672671i	$0.765147\pi$
$858$	0.827172	−	1.51485i	0.0282392	−	0.0517162i
$859$	−7.29231	+	11.3471i	−0.248810	+	0.387157i	−0.943084	−	0.332555i	$-0.892089\pi$
$859$	−7.29231	+	11.3471i	−0.248810	+	0.387157i	0.694274	+	0.719711i	$0.255726\pi$
$860$	−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	0.589438	+	0.807814i	$0.299349\pi$
$863$	−3.20103	+	44.7562i	−0.108964	+	1.52352i	−0.698402	+	0.715706i	$0.746105\pi$
$864$	−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	−0.919094	−	0.394037i	$-0.871078\pi$
$877$	2.38786	−	10.9768i	0.0806323	−	0.370661i	0.999727	+	0.0233767i	$0.00744172\pi$
$878$	−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	0.679495	+	0.733680i	$0.262199\pi$
$881$	14.9751	+	51.0006i	0.504525	+	1.71825i	−0.174970	+	0.984574i	$0.555983\pi$
$882$	−8.39105	+	1.82536i	−0.282541	+	0.0614631i
$883$	−13.5207	+	5.04295i	−0.455007	+	0.169709i	−0.566509	−	0.824055i	$-0.691706\pi$
$883$	−13.5207	+	5.04295i	−0.455007	+	0.169709i	0.111502	+	0.993764i	$0.464434\pi$
$884$	−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	−0.616337	−	0.787483i	$-0.711384\pi$
$887$	−8.55001	+	4.66866i	−0.287081	+	0.156758i	0.329256	+	0.944241i	$0.393202\pi$
$888$	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	0.777503	−	0.628879i	$-0.216486\pi$
$907$	−5.17683	−	9.48067i	−0.171894	−	0.314800i	−0.949397	+	0.314079i	$0.898304\pi$
$908$	−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	−0.289095	−	0.957300i	$-0.593354\pi$
$911$	−36.2764	−	16.5669i	−1.20189	−	0.548886i	−0.912797	+	0.408415i	$0.866082\pi$
$912$	−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	0.0352644	−	0.999378i	$-0.488773\pi$
$929$	−21.2418	−	9.70082i	−0.696922	−	0.318274i	−0.732186	+	0.681104i	$0.761500\pi$
$930$	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	−0.775408	−	0.631460i	$-0.782456\pi$
$937$	−11.8764	+	8.89055i	−0.387985	+	0.290442i	0.387424	+	0.921902i	$0.373365\pi$
$938$	−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	−0.996872	−	0.0790318i	$-0.974817\pi$
$941$	−37.3314	−	32.3479i	−1.21697	−	1.05451i	−0.220097	−	0.975478i	$-0.570637\pi$
$942$	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	0.839041	−	0.544068i	$-0.183117\pi$
$947$	17.0299	+	12.7484i	0.553397	+	0.414268i	−0.285644	+	0.958336i	$0.592207\pi$
$948$	−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	−0.469694	−	0.882829i	$-0.655636\pi$
$953$	0.588201	−	0.321182i	0.0190537	−	0.0104041i	0.488748	+	0.872425i	$0.337454\pi$
$954$	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	0.164232	−	0.986422i	$-0.447486\pi$
$967$	35.7814	−	35.7814i	1.15065	−	1.15065i	0.986422	−	0.164232i	$-0.0525145\pi$
$968$	−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	−0.348326	−	0.937373i	$-0.613250\pi$
$971$	4.11286	−	1.87828i	0.131988	−	0.0602769i	0.480314	+	0.877096i	$0.340523\pi$
$972$	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	−0.787060	−	0.616877i	$-0.788398\pi$
$977$	2.49367	−	34.8661i	0.0797796	−	1.11546i	0.866839	−	0.498588i	$-0.166148\pi$
$978$	−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	−0.983111	−	0.183008i	$-0.941417\pi$
$983$	−27.6448	−	36.9291i	−0.881732	−	1.17786i	0.101380	−	0.994848i	$-0.467674\pi$
$984$	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	−0.855306	−	0.518124i	$-0.826631\pi$
$991$	−6.94872	+	8.01925i	−0.220733	+	0.254740i	0.634573	+	0.772863i	$0.281176\pi$
$992$	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	0.0634567	−	0.997985i	$-0.479788\pi$
$997$	16.9167	−	3.68000i	0.535757	−	0.116547i	0.472300	+	0.881438i	$0.343424\pi$
$998$	−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.53.5	yes	240
5.2	odd	4	inner	230.2.l.a.7.11	✓	240
23.10	odd	22	inner	230.2.l.a.33.11	yes	240
115.102	even	44	inner	230.2.l.a.217.5	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.7.11	✓	240	5.2	odd	4	inner
230.2.l.a.33.11	yes	240	23.10	odd	22	inner
230.2.l.a.53.5	yes	240	1.1	even	1	trivial
230.2.l.a.217.5	yes	240	115.102	even	44	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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