LMFDB - Embedded newform 230.2.l.a.33.11

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [230,2,Mod(7,230)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage: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")

magma://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:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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			33.11
Character	$\chi$	$=$	230.33
Dual form			230.2.l.a.7.11

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.997452 + 0.0713392i) q^{2} +(0.452602 + 2.08058i) q^{3} +(0.989821 + 0.142315i) q^{4} +(-1.62540 + 1.53561i) q^{5} +(0.303022 + 2.10757i) q^{6} +(-0.567213 - 1.03877i) q^{7} +(0.977147 + 0.212565i) q^{8} +(-1.39507 + 0.637105i) q^{9} +(-1.73080 + 1.41574i) q^{10} +(1.51315 + 1.31115i) q^{11} +(0.151898 + 2.12381i) q^{12} +(0.355339 + 0.194030i) q^{13} +(-0.491662 - 1.07659i) q^{14} +(-3.93061 - 2.68675i) q^{15} +(0.959493 + 0.281733i) q^{16} +(0.119153 - 0.159170i) q^{17} +(-1.43696 + 0.535959i) q^{18} +(0.301905 - 2.09979i) q^{19} +(-1.82739 + 1.28866i) q^{20} +(1.90453 - 1.65028i) q^{21} +(1.41576 + 1.41576i) q^{22} +(-4.01244 - 2.62684i) q^{23} +2.12924i q^{24} +(0.283834 - 4.99194i) q^{25} +(0.340591 + 0.218885i) q^{26} +(1.87106 + 2.49944i) q^{27} +(-0.413607 - 1.10892i) q^{28} +(6.77284 - 0.973787i) q^{29} +(-3.72892 - 2.96031i) q^{30} +(4.28224 - 2.75203i) q^{31} +(0.936950 + 0.349464i) q^{32} +(-2.04310 + 3.74166i) q^{33} +(0.130205 - 0.150264i) q^{34} +(2.51709 + 0.817404i) q^{35} +(-1.47154 + 0.432082i) q^{36} +(2.08129 - 5.58014i) q^{37} +(0.450933 - 2.07291i) q^{38} +(-0.242867 + 0.827129i) q^{39} +(-1.91467 + 1.15501i) q^{40} +(-0.0109360 + 0.0239466i) q^{41} +(2.01740 - 1.51021i) q^{42} +(-6.74241 + 1.46672i) 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} +(-0.151898 + 2.12381i) q^{48} +(3.02717 - 4.71036i) q^{49} +(0.639232 - 4.95897i) q^{50} +(0.385095 + 0.175867i) q^{51} +(0.324109 + 0.242625i) q^{52} +(0.474023 - 0.258836i) q^{53} +(1.68798 + 2.62655i) q^{54} +(-4.47288 + 0.192458i) q^{55} +(-0.333443 - 1.13560i) q^{56} +(4.50543 - 0.322235i) q^{57} +(6.82505 - 0.488137i) q^{58} +(3.65243 + 12.4390i) q^{59} +(-3.50823 - 3.21879i) q^{60} +(-7.12877 - 11.0926i) q^{61} +(4.46766 - 2.43953i) q^{62} +(1.45311 + 1.08778i) q^{63} +(0.909632 + 0.415415i) q^{64} +(-0.875520 + 0.230285i) q^{65} +(-2.30482 + 3.58637i) q^{66} +(-0.104967 + 1.46764i) 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} +(-1.49861 + 0.326003i) q^{72} +(-10.6056 + 7.93925i) q^{73} +(2.47407 - 5.41745i) q^{74} +(10.5146 - 1.66882i) q^{75} +(0.597663 - 2.03545i) q^{76} +(0.503710 - 2.31552i) q^{77} +(-0.301255 + 0.807695i) q^{78} +(-13.4642 + 3.95345i) q^{79} +(-1.99219 + 1.01547i) q^{80} +(-7.36644 + 8.50133i) q^{81} +(-0.0126165 + 0.0231054i) q^{82} +(-2.62520 - 0.979148i) q^{83} +(2.12000 - 1.36244i) q^{84} +(0.0507510 + 0.441686i) q^{85} +(-6.82987 + 0.981986i) q^{86} +(5.09145 + 13.6507i) q^{87} +(1.19986 + 1.60283i) q^{88} +(1.06577 + 0.684929i) q^{89} +(1.51261 - 3.07775i) q^{90} -0.479172i q^{91} +(-3.59776 - 3.17114i) q^{92} +(7.66397 + 7.66397i) q^{93} +(-4.00820 + 3.47312i) q^{94} +(2.73374 + 3.87660i) q^{95} +(-0.303022 + 2.10757i) q^{96} +(6.72549 - 2.50848i) q^{97} +(3.35549 - 4.48241i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

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

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 $

$2$	0.997452	+	0.0713392i	0.705305	+	0.0504444i
$2$	0.997452	+	0.0713392i	0.705305	+	0.0504444i
$3$	0.452602	+	2.08058i	0.261310	+	1.20122i	0.901422	+	0.432941i	$0.142524\pi$
$3$	0.452602	+	2.08058i	0.261310	+	1.20122i	−0.640112	+	0.768282i	$0.721112\pi$
$4$	0.989821	+	0.142315i	0.494911	+	0.0711574i
$5$	−1.62540	+	1.53561i	−0.726900	+	0.686743i
$5$	−1.62540	+	1.53561i	−0.726900	+	0.686743i
$6$	0.303022	+	2.10757i	0.123708	+	0.860410i
$7$	−0.567213	−	1.03877i	−0.214386	−	0.392619i	0.748250	−	0.663417i	$-0.230894\pi$
$7$	−0.567213	−	1.03877i	−0.214386	−	0.392619i	−0.962636	+	0.270798i	$0.912713\pi$
$8$	0.977147	+	0.212565i	0.345474	+	0.0751532i
$9$	−1.39507	+	0.637105i	−0.465022	+	0.212368i
$10$	−1.73080	+	1.41574i	−0.547329	+	0.447696i
$11$	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	$0.629672\pi$
$12$	0.151898	+	2.12381i	0.0438492	+	0.613092i
$13$	0.355339	+	0.194030i	0.0985532	+	0.0538141i	0.527770	−	0.849388i	$-0.323028\pi$
$13$	0.355339	+	0.194030i	0.0985532	+	0.0538141i	−0.429216	+	0.903202i	$0.641210\pi$
$14$	−0.491662	−	1.07659i	−0.131402	−	0.287731i
$15$	−3.93061	−	2.68675i	−1.01488	−	0.693716i
$16$	0.959493	+	0.281733i	0.239873	+	0.0704331i
$17$	0.119153	−	0.159170i	0.0288989	−	0.0386044i	−0.785859	−	0.618406i	$-0.787779\pi$
$17$	0.119153	−	0.159170i	0.0288989	−	0.0386044i	0.814758	+	0.579801i	$0.196870\pi$
$18$	−1.43696	+	0.535959i	−0.338695	+	0.126327i
$19$	0.301905	−	2.09979i	0.0692617	−	0.481726i	−0.925438	−	0.378900i	$-0.876303\pi$
$19$	0.301905	−	2.09979i	0.0692617	−	0.481726i	0.994699	−	0.102826i	$-0.0327884\pi$
$20$	−1.82739	+	1.28866i	−0.408617	+	0.288152i
$21$	1.90453	−	1.65028i	0.415602	−	0.360121i
$22$	1.41576	+	1.41576i	0.301840	+	0.301840i
$23$	−4.01244	−	2.62684i	−0.836652	−	0.547735i
$23$	−4.01244	−	2.62684i	−0.836652	−	0.547735i
$24$			2.12924i			0.434629i
$25$	0.283834	−	4.99194i	0.0567668	−	0.998387i
$26$	0.340591	+	0.218885i	0.0667955	+	0.0429268i
$27$	1.87106	+	2.49944i	0.360085	+	0.481018i
$28$	−0.413607	−	1.10892i	−0.0781643	−	0.209567i
$29$	6.77284	−	0.973787i	1.25768	−	0.180828i	0.518939	−	0.854811i	$-0.326327\pi$
$29$	6.77284	−	0.973787i	1.25768	−	0.180828i	0.738746	+	0.673984i	$0.235418\pi$
$30$	−3.72892	−	2.96031i	−0.680805	−	0.540476i
$31$	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	$0.167062\pi$
$32$	0.936950	+	0.349464i	0.165631	+	0.0617771i
$33$	−2.04310	+	3.74166i	−0.355658	+	0.651339i
$34$	0.130205	−	0.150264i	0.0223299	−	0.0257701i
$35$	2.51709	+	0.817404i	0.425466	+	0.138166i
$36$	−1.47154	+	0.432082i	−0.245256	+	0.0720136i
$37$	2.08129	−	5.58014i	0.342161	−	0.917370i	−0.645916	−	0.763409i	$-0.723524\pi$
$37$	2.08129	−	5.58014i	0.342161	−	0.917370i	0.988077	−	0.153961i	$-0.0492031\pi$
$38$	0.450933	−	2.07291i	0.0731510	−	0.336270i
$39$	−0.242867	+	0.827129i	−0.0388898	+	0.132447i
$40$	−1.91467	+	1.15501i	−0.302736	+	0.182623i
$41$	−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	$0.137018\pi$
$42$	2.01740	−	1.51021i	0.311292	−	0.233030i
$43$	−6.74241	+	1.46672i	−1.02821	+	0.223673i	−0.694871	−	0.719135i	$-0.744538\pi$
$43$	−6.74241	+	1.46672i	−1.02821	+	0.223673i	−0.333337	+	0.942808i	$0.608175\pi$
$44$	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	$0.376421\pi$
$48$	−0.151898	+	2.12381i	−0.0219246	+	0.306546i
$49$	3.02717	−	4.71036i	0.432453	−	0.672909i
$50$	0.639232	−	4.95897i	0.0904010	−	0.701304i
$51$	0.385095	+	0.175867i	0.0539240	+	0.0246263i
$52$	0.324109	+	0.242625i	0.0449458	+	0.0336460i
$53$	0.474023	−	0.258836i	0.0651121	−	0.0355539i	−0.446363	−	0.894852i	$-0.647281\pi$
$53$	0.474023	−	0.258836i	0.0651121	−	0.0355539i	0.511475	+	0.859298i	$0.329099\pi$
$54$	1.68798	+	2.62655i	0.229705	+	0.357429i
$55$	−4.47288	+	0.192458i	−0.603123	+	0.0259510i
$56$	−0.333443	−	1.13560i	−0.0445582	−	0.151751i
$57$	4.50543	−	0.322235i	0.596759	−	0.0426810i
$58$	6.82505	−	0.488137i	0.896173	−	0.0640956i
$59$	3.65243	+	12.4390i	0.475506	+	1.61943i	0.752527	+	0.658562i	$0.228835\pi$
$59$	3.65243	+	12.4390i	0.475506	+	1.61943i	−0.277020	+	0.960864i	$0.589347\pi$
$60$	−3.50823	−	3.21879i	−0.452911	−	0.415544i
$61$	−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	$-0.501702\pi$
$62$	4.46766	−	2.43953i	0.567393	−	0.309820i
$63$	1.45311	+	1.08778i	0.183074	+	0.137048i
$64$	0.909632	+	0.415415i	0.113704	+	0.0519269i
$65$	−0.875520	+	0.230285i	−0.108595	+	0.0285633i
$66$	−2.30482	+	3.58637i	−0.283704	+	0.441451i
$67$	−0.104967	+	1.46764i	−0.0128238	+	0.179300i	0.987003	+	0.160701i	$0.0513754\pi$
$67$	−0.104967	+	1.46764i	−0.0128238	+	0.179300i	−0.999827	+	0.0185997i	$0.994079\pi$
$68$	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	$-0.492997\pi$
$72$	−1.49861	+	0.326003i	−0.176613	+	0.0384198i
$73$	−10.6056	+	7.93925i	−1.24129	+	0.929219i	−0.999158	−	0.0410243i	$-0.986938\pi$
$73$	−10.6056	+	7.93925i	−1.24129	+	0.929219i	−0.242133	+	0.970243i	$0.577847\pi$
$74$	2.47407	−	5.41745i	0.287604	−	0.629766i
$75$	10.5146	−	1.66882i	1.21412	−	0.192699i
$76$	0.597663	−	2.03545i	0.0685567	−	0.233483i
$77$	0.503710	−	2.31552i	0.0574031	−	0.263878i
$78$	−0.301255	+	0.807695i	−0.0341104	+	0.0914535i
$79$	−13.4642	+	3.95345i	−1.51484	+	0.444797i	−0.930371	−	0.366618i	$-0.880515\pi$
$79$	−13.4642	+	3.95345i	−1.51484	+	0.444797i	−0.584469	+	0.811416i	$0.698697\pi$
$80$	−1.99219	+	1.01547i	−0.222733	+	0.113534i
$81$	−7.36644	+	8.50133i	−0.818493	+	0.944592i
$82$	−0.0126165	+	0.0231054i	−0.00139326	+	0.00255156i
$83$	−2.62520	−	0.979148i	−0.288153	−	0.107475i	0.201231	−	0.979544i	$-0.435506\pi$
$83$	−2.62520	−	0.979148i	−0.288153	−	0.107475i	−0.489384	+	0.872068i	$0.662778\pi$
$84$	2.12000	−	1.36244i	0.231311	−	0.148655i
$85$	0.0507510	+	0.441686i	0.00550471	+	0.0479076i
$86$	−6.82987	+	0.981986i	−0.736483	+	0.105890i
$87$	5.09145	+	13.6507i	0.545860	+	1.46351i
$88$	1.19986	+	1.60283i	0.127906	+	0.170862i
$89$	1.06577	+	0.684929i	0.112971	+	0.0726023i	0.595906	−	0.803054i	$-0.296793\pi$
$89$	1.06577	+	0.684929i	0.112971	+	0.0726023i	−0.482935	+	0.875656i	$0.660429\pi$
$90$	1.51261	−	3.07775i	0.159443	−	0.324424i
$91$		−	0.479172i		−	0.0502309i
$92$	−3.59776	−	3.17114i	−0.375093	−	0.330614i
$93$	7.66397	+	7.66397i	0.794717	+	0.794717i
$94$	−4.00820	+	3.47312i	−0.413414	+	0.358225i
$95$	2.73374	+	3.87660i	0.280476	+	0.397731i
$96$	−0.303022	+	2.10757i	−0.0309271	+	0.215103i
$97$	6.72549	−	2.50848i	0.682870	−	0.254697i	0.0160008	−	0.999872i	$-0.494907\pi$
$97$	6.72549	−	2.50848i	0.682870	−	0.254697i	0.666870	+	0.745175i	$0.267634\pi$
$98$	3.35549	−	4.48241i	0.338956	−	0.452792i
$99$	−2.94628	−	0.865107i	−0.296113	−	0.0869465i
$100$	0.991372	−	4.90073i	0.0991372	−	0.490073i
$101$	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	$0.812506\pi$
$102$	0.371567	+	0.202891i	0.0367906	+	0.0200892i
$103$	1.22935	+	17.1886i	0.121132	+	1.69364i	0.587639	+	0.809123i	$0.300057\pi$
$103$	1.22935	+	17.1886i	0.121132	+	1.69364i	−0.466508	+	0.884517i	$0.654488\pi$
$104$	0.305974	+	0.265128i	0.0300032	+	0.0259979i
$105$	−0.561432	+	5.60697i	−0.0547901	+	0.547184i
$106$	0.491280	−	0.224360i	0.0477174	−	0.0217918i
$107$	−4.51644	−	0.982491i	−0.436620	−	0.0949809i	−0.0111179	−	0.999938i	$-0.503539\pi$
$107$	−4.51644	−	0.982491i	−0.436620	−	0.0949809i	−0.425502	+	0.904957i	$0.639903\pi$
$108$	1.49631	+	2.74028i	0.143982	+	0.263684i
$109$	−2.12492	−	14.7792i	−0.203531	−	1.41559i	−0.793701	−	0.608309i	$-0.791848\pi$
$109$	−2.12492	−	14.7792i	−0.203531	−	1.41559i	0.590170	−	0.807279i	$-0.299061\pi$
$110$	−4.47521	−	0.127124i	−0.426695	−	0.0121208i
$111$	12.5519	+	1.80469i	1.19138	+	0.171294i
$112$	−0.251581	−	1.15650i	−0.0237721	−	0.109279i
$113$	−2.26301	−	0.161853i	−0.212886	−	0.0152259i	−0.0355111	−	0.999369i	$-0.511306\pi$
$113$	−2.26301	−	0.161853i	−0.212886	−	0.0152259i	−0.177375	+	0.984143i	$0.556760\pi$
$114$	4.51694			0.423050
$115$	10.5556	−	1.89186i	0.984315	−	0.176417i
$116$	6.84249			0.635309
$117$	−0.619338	−	0.0442959i	−0.0572578	−	0.00409516i
$118$	2.75574	+	12.6679i	0.253686	+	1.16618i
$119$	−0.232926	−	0.0334898i	−0.0213523	−	0.00307000i
$120$	−3.26967	−	3.46086i	−0.298479	−	0.315932i
$121$	−0.994961	−	6.92011i	−0.0904510	−	0.629100i
$122$	−6.31927	−	11.5729i	−0.572120	−	1.04776i
$123$	−0.0547724	−	0.0119150i	−0.00493866	−	0.00107434i
$124$	4.63031	−	2.11459i	0.415814	−	0.189896i
$125$	7.20430	+	8.54974i	0.644372	+	0.764712i
$126$	1.37180	+	1.18867i	0.122210	+	0.105895i
$127$	0.0162103	+	0.226649i	0.00143843	+	0.0201119i	0.998121	−	0.0612796i	$-0.0195181\pi$
$127$	0.0162103	+	0.226649i	0.00143843	+	0.0201119i	−0.996682	+	0.0813915i	$0.974064\pi$
$128$	0.877679	+	0.479249i	0.0775766	+	0.0423600i
$129$	−6.10326	−	13.3643i	−0.537362	−	1.17666i
$130$	−0.889717	+	0.167239i	−0.0780334	+	0.0146678i
$131$	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	$0.414156\pi$
$132$	−2.55480	+	3.41281i	−0.222366	+	0.297047i
$133$	−2.35245	+	0.877419i	−0.203983	+	0.0760819i
$134$	−0.209400	+	1.45641i	−0.0180894	+	0.125815i
$135$	−6.87937	−	1.18938i	−0.592082	−	0.102365i
$136$	0.150264	−	0.130205i	0.0128850	−	0.0111649i
$137$	13.0950	+	13.0950i	1.11879	+	1.11879i	0.991920	+	0.126865i	$0.0404916\pi$
$137$	13.0950	+	13.0950i	1.11879	+	1.11879i	0.126865	+	0.991920i	$0.459508\pi$
$138$	4.32039	−	9.25248i	0.367776	−	0.787624i
$139$			18.3770i			1.55872i	0.626578	+	0.779359i	$0.284455\pi$
$139$			18.3770i			1.55872i	−0.626578	+	0.779359i	$0.715545\pi$
$140$	2.37514	+	1.16730i	0.200736	+	0.0986551i
$141$	−9.49998	−	6.10527i	−0.800043	−	0.514156i
$142$	−7.48513	−	9.99896i	−0.628138	−	0.839094i
$143$	0.283278	+	0.759498i	0.0236889	+	0.0635124i
$144$	−1.51805	+	0.218263i	−0.126504	+	0.0181885i
$145$	−9.51321	+	11.9832i	−0.790029	+	0.995151i
$146$	−11.1450	+	7.16243i	−0.922363	+	0.592767i
$147$	11.1704	+	4.16634i	0.921318	+	0.343634i
$148$	2.85424	−	5.22715i	0.234617	−	0.429669i
$149$	−1.48811	+	1.71737i	−0.121911	+	0.140692i	−0.813424	−	0.581672i	$-0.802399\pi$
$149$	−1.48811	+	1.71737i	−0.121911	+	0.140692i	0.691513	+	0.722364i	$0.256944\pi$
$150$	10.6068	−	0.914469i	0.866046	−	0.0746661i
$151$	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	$0.316356\pi$
$152$	0.741348	−	1.98763i	0.0601313	−	0.161218i
$153$	−0.0648184	+	0.297966i	−0.00524026	+	0.0240891i
$154$	0.667614	−	2.27368i	0.0537979	−	0.183219i
$155$	−2.73432	+	11.0490i	−0.219625	+	0.887475i
$156$	−0.358108	+	0.784146i	−0.0286715	+	0.0627819i
$157$	−8.88237	+	6.64926i	−0.708891	+	0.530669i	−0.891783	−	0.452464i	$-0.850545\pi$
$157$	−8.88237	+	6.64926i	−0.708891	+	0.530669i	0.182892	+	0.983133i	$0.441454\pi$
$158$	−13.7119	+	2.98285i	−1.09086	+	0.237303i
$159$	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
$163$	0.933684	−	13.0546i	0.0731318	−	1.02252i	−0.819896	−	0.572513i	$-0.805969\pi$
$163$	0.933684	−	13.0546i	0.0731318	−	1.02252i	0.893027	−	0.450003i	$-0.148577\pi$
$164$	−0.0142327	+	0.0221465i	−0.00111138	+	0.00172935i
$165$	−2.42486	−	9.21907i	−0.188775	−	0.717704i
$166$	−2.54866	−	1.16393i	−0.197814	−	0.0903387i
$167$	−12.2192	−	9.14716i	−0.945549	−	0.707829i	0.0108353	−	0.999941i	$-0.496551\pi$
$167$	−12.2192	−	9.14716i	−0.945549	−	0.707829i	−0.956384	+	0.292112i	$0.905642\pi$
$168$	2.21180	−	1.20773i	0.170644	−	0.0931785i
$169$	−6.93971	−	10.7984i	−0.533824	−	0.830646i
$170$	0.0191121	+	0.444182i	0.00146583	+	0.0340672i
$171$	0.916612	+	3.12169i	0.0700951	+	0.238722i
$172$	−6.88252	+	0.492247i	−0.524787	+	0.0375335i
$173$	−9.20605	+	0.658430i	−0.699923	+	0.0500595i	−0.416766	−	0.909014i	$-0.636836\pi$
$173$	−9.20605	+	0.658430i	−0.699923	+	0.0500595i	−0.283157	+	0.959073i	$0.591382\pi$
$174$	4.10464	+	13.9791i	0.311172	+	1.05976i
$175$	−5.34648	+	2.53665i	−0.404156	+	0.191753i
$176$	1.08246	+	1.68434i	0.0815936	+	0.126962i
$177$	−24.2273	+	13.2291i	−1.82104	+	0.994362i
$178$	1.01419	+	0.759215i	0.0760169	+	0.0569055i
$179$	17.3758	+	7.93526i	1.29873	+	0.593109i	0.940268	−	0.340435i	$-0.110574\pi$
$179$	17.3758	+	7.93526i	1.29873	+	0.593109i	0.358461	+	0.933545i	$0.383302\pi$
$180$	1.72832	−	2.96200i	0.128822	−	0.220775i
$181$	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	$-0.0983461\pi$
$182$	0.0341837	−	0.477951i	0.00253387	−	0.0354281i
$183$	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
$187$	0.388992	−	0.0846200i	0.0284459	−	0.00618803i
$188$	−4.24576	+	3.17833i	−0.309654	+	0.231804i
$189$	1.53506	−	3.36132i	0.111659	−	0.244500i
$190$	2.45022	+	4.06175i	0.177758	+	0.294670i
$191$	−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	$0.167979\pi$
$192$	−0.452602	+	2.08058i	−0.0326638	+	0.150153i
$193$	6.56001	−	17.5881i	0.472200	−	1.26602i	−0.454678	−	0.890656i	$-0.650246\pi$
$193$	6.56001	−	17.5881i	0.472200	−	1.26602i	0.926878	−	0.375362i	$-0.122481\pi$
$194$	6.88731	−	2.02230i	0.494480	−	0.145192i
$195$	−0.875388	−	1.71736i	−0.0626878	−	0.122983i
$196$	3.66671	−	4.23161i	0.261908	−	0.302258i
$197$	3.61738	−	6.62474i	0.257728	−	0.471993i	−0.716492	−	0.697596i	$-0.754253\pi$
$197$	3.61738	−	6.62474i	0.257728	−	0.471993i	0.974219	+	0.225603i	$0.0724351\pi$
$198$	−2.87706	−	1.07309i	−0.204464	−	0.0762610i
$199$	−12.1004	+	7.77646i	−0.857775	+	0.551259i	−0.893991	−	0.448085i	$-0.852106\pi$
$199$	−12.1004	+	7.77646i	−0.857775	+	0.551259i	0.0362157	+	0.999344i	$0.488470\pi$
$200$	1.33846	−	4.81752i	0.0946434	−	0.340650i
$201$	−3.10104	+	0.445863i	−0.218731	+	0.0314487i
$202$	1.12344	+	3.01206i	0.0790449	+	0.211927i
$203$	−4.85318	−	6.48310i	−0.340627	−	0.455024i
$204$	0.356146	+	0.228881i	0.0249352	+	0.0160249i
$205$	−0.0189971	−	0.0557161i	−0.00132681	−	0.00389138i
$206$			17.2325i			1.20064i
$207$	7.27120	+	1.10827i	0.505383	+	0.0770301i
$208$	0.286281	+	0.286281i	0.0198500	+	0.0198500i
$209$	3.20997	−	2.78146i	0.222038	−	0.192397i
$210$	−0.959998	+	5.55263i	−0.0662461	+	0.383168i
$211$	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	$0.0229031\pi$
$212$	0.506034	−	0.188741i	0.0347546	−	0.0129628i
$213$	15.9376	−	21.2902i	1.09203	−	1.45878i
$214$	−4.43484	−	1.30219i	−0.303159	−	0.0890156i
$215$	8.70679	−	12.7377i	0.593798	−	0.868703i
$216$	1.29700	+	2.84004i	0.0882500	+	0.193240i
$217$	−5.28768	−	2.88729i	−0.358951	−	0.196002i
$218$	−1.06518	−	14.8931i	−0.0721428	−	1.00869i
$219$	−21.3184	−	18.4725i	−1.44056	−	1.24825i
$220$	−4.45474	−	0.446058i	−0.300338	−	0.0300732i
$221$	0.0732234	−	0.0334400i	0.00492554	−	0.00224942i
$222$	12.3912	+	2.69554i	0.831643	+	0.180913i
$223$	−8.66196	−	15.8632i	−0.580048	−	1.06228i	−0.988745	−	0.149608i	$-0.952199\pi$
$223$	−8.66196	−	15.8632i	−0.580048	−	1.06228i	0.408697	−	0.912670i	$-0.365983\pi$
$224$	−0.168436	−	1.17150i	−0.0112541	−	0.0782740i
$225$	2.78442	+	7.14491i	0.185628	+	0.476328i
$226$	−2.24569	−	0.322882i	−0.149381	−	0.0214778i
$227$	−3.53850	−	16.2662i	−0.234859	−	1.07963i	−0.931933	−	0.362629i	$-0.881879\pi$
$227$	−3.53850	−	16.2662i	−0.234859	−	1.07963i	0.697075	−	0.716998i	$-0.254485\pi$
$228$	4.50543	+	0.322235i	0.298379	+	0.0213405i
$229$	16.6625			1.10109			0.550544	−	0.834806i	$-0.314420\pi$
$229$	16.6625			1.10109			0.550544	+	0.834806i	$0.314420\pi$
$230$	10.6637	−	1.13401i	0.703142	−	0.0747747i
$231$	5.04560			0.331976
$232$	6.82505	+	0.488137i	0.448087	+	0.0320478i
$233$	3.93472	+	18.0876i	0.257772	+	1.18496i	0.905921	+	0.423446i	$0.139180\pi$
$233$	3.93472	+	18.0876i	0.257772	+	1.18496i	−0.648149	+	0.761514i	$0.724457\pi$
$234$	−0.614600	−	0.0883662i	−0.0401777	−	0.00577668i
$235$	0.336741	−	11.8544i	0.0219666	−	0.773299i
$236$	1.84500	+	12.8322i	0.120099	+	0.835307i
$237$	−14.3194	−	26.2240i	−0.930144	−	1.70343i
$238$	−0.229944	−	0.0500212i	−0.0149050	−	0.00324239i
$239$	−9.39164	+	4.28902i	−0.607495	+	0.277434i	−0.695318	−	0.718702i	$-0.744736\pi$
$239$	−9.39164	+	4.28902i	−0.607495	+	0.277434i	0.0878228	+	0.996136i	$0.472009\pi$
$240$	−3.01444	−	3.68530i	−0.194582	−	0.237885i
$241$	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	$0.700031\pi$
$242$	−0.498751	−	6.97345i	−0.0320609	−	0.448271i
$243$	−12.8009	−	6.98983i	−0.821179	−	0.448398i
$244$	−5.47757	−	11.9942i	−0.350665	−	0.767850i
$245$	2.31291	+	12.3047i	0.147766	+	0.786122i
$246$	−0.0537829	−	0.0157921i	−0.00342907	−	0.00100687i
$247$	0.514700	−	0.687559i	0.0327496	−	0.0437483i
$248$	4.76937	−	1.77888i	0.302855	−	0.112959i
$249$	0.849025	−	5.90510i	0.0538048	−	0.374220i
$250$	6.57601	+	9.04190i	0.415904	+	0.571860i
$251$	−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
$253$	−2.62723	−	9.23572i	−0.165173	−	0.580645i
$254$			0.227228i			0.0142576i
$255$	−0.895994	+	0.305500i	−0.0561093	+	0.0191311i
$256$	0.841254	+	0.540641i	0.0525783	+	0.0337901i
$257$	1.51231	+	2.02021i	0.0943355	+	0.126018i	0.845226	−	0.534410i	$-0.179466\pi$
$257$	1.51231	+	2.02021i	0.0943355	+	0.126018i	−0.750890	+	0.660427i	$0.770375\pi$
$258$	−5.13431	−	13.7656i	−0.319648	−	0.857011i
$259$	−6.97703	+	1.00315i	−0.433532	+	0.0623324i
$260$	−0.899381	+	0.103341i	−0.0557772	+	0.00640895i
$261$	−8.82815	+	5.67351i	−0.546449	+	0.351181i
$262$	11.3069	+	4.21727i	0.698545	+	0.260544i
$263$	11.8515	−	21.7044i	0.730794	−	1.33835i	−0.202516	−	0.979279i	$-0.564912\pi$
$263$	11.8515	−	21.7044i	0.730794	−	1.33835i	0.933310	−	0.359071i	$-0.116906\pi$
$264$	−2.79175	+	3.22185i	−0.171821	+	0.198291i
$265$	−0.373006	+	1.14862i	−0.0229136	+	0.0705594i
$266$	−2.40905	+	0.707361i	−0.147708	+	0.0433711i
$267$	−0.942679	+	2.52742i	−0.0576910	+	0.154676i
$268$	−0.312765	+	1.43776i	−0.0191052	+	0.0878251i
$269$	−3.19355	+	10.8762i	−0.194714	+	0.663136i	0.803026	+	0.595944i	$0.203222\pi$
$269$	−3.19355	+	10.8762i	−0.194714	+	0.663136i	−0.997740	+	0.0671917i	$0.978596\pi$
$270$	−6.77699	−	1.67712i	−0.412435	−	0.102066i
$271$	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	$0.000513495\pi$
$272$	0.159170	−	0.119153i	0.00965109	−	0.00722472i
$273$	0.996956	−	0.216874i	0.0603385	−	0.0131258i
$274$	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	$0.362989\pi$
$278$	−1.31100	+	18.3302i	−0.0786286	+	1.09937i
$279$	−4.22068	+	6.56750i	−0.252685	+	0.393186i
$280$	2.28582	+	1.33377i	0.136604	+	0.0797080i
$281$	−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	$0.718706\pi$
$282$	−9.04023	−	6.76743i	−0.538338	−	0.402995i
$283$	−13.3904	+	7.31169i	−0.795974	+	0.434635i	−0.825132	−	0.564940i	$-0.808899\pi$
$283$	−13.3904	+	7.31169i	−0.795974	+	0.434635i	0.0291578	+	0.999575i	$0.490717\pi$
$284$	−6.75274	−	10.5075i	−0.400701	−	0.623503i
$285$	−6.82829	+	7.44232i	−0.404473	+	0.440845i
$286$	0.228374	+	0.777772i	0.0135041	+	0.0459906i
$287$	0.0310781	−	0.00222275i	0.00183448	−	0.000131205i
$288$	−1.52975	+	0.109410i	−0.0901415	+	0.00644705i
$289$	4.77832	+	16.2734i	0.281077	+	0.957262i
$290$	−10.3438	+	11.2740i	−0.607411	+	0.662032i
$291$	8.26306	+	12.8576i	0.484389	+	0.753725i
$292$	−11.6275	+	6.34911i	−0.680449	+	0.371553i
$293$	26.0416	+	19.4945i	1.52137	+	1.13888i	0.947421	+	0.319989i	$0.103679\pi$
$293$	26.0416	+	19.4945i	1.52137	+	1.13888i	0.573946	+	0.818893i	$0.305412\pi$
$294$	10.8447	+	4.95261i	0.632476	+	0.288842i
$295$	−25.0381	−	14.6097i	−1.45778	−	0.850610i
$296$	3.21987	−	5.01021i	0.187151	−	0.291213i
$297$	−0.445955	+	6.23526i	−0.0258769	+	0.361807i
$298$	−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
$302$	6.89779	−	1.50052i	0.396923	−	0.0863454i
$303$	−5.47968	+	4.10203i	−0.314799	+	0.235656i
$304$	0.881255	−	1.92968i	0.0505435	−	0.110675i
$305$	28.6209	+	7.08288i	1.63883	+	0.405564i
$306$	−0.0859099	+	0.292582i	−0.00491114	+	0.0167258i
$307$	0.851870	−	3.91598i	0.0486188	−	0.223497i	−0.946427	−	0.322919i	$-0.895336\pi$
$307$	0.851870	−	3.91598i	0.0486188	−	0.223497i	0.995045	+	0.0994222i	$0.0316994\pi$
$308$	0.828116	−	2.22026i	0.0471863	−	0.126511i
$309$	−35.2058	+	10.3374i	−2.00279	+	0.588071i
$310$	−3.51557	+	10.8258i	−0.199671	+	0.614862i
$311$	−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	$0.913932\pi$
$312$	−0.413135	+	0.756601i	−0.0233892	+	0.0428341i
$313$	25.6388	+	9.56277i	1.44919	+	0.540520i	0.946146	−	0.323741i	$-0.104941\pi$
$313$	25.6388	+	9.56277i	1.44919	+	0.540520i	0.503044	+	0.864261i	$0.332213\pi$
$314$	−9.33410	+	5.99866i	−0.526754	+	0.338524i
$315$	−4.03228	+	0.463320i	−0.227193	+	0.0261051i
$316$	−13.8898	+	1.99705i	−0.781362	+	0.112343i
$317$	−8.54906	−	22.9209i	−0.480163	−	1.28737i	−0.920924	−	0.389743i	$-0.872564\pi$
$317$	−8.54906	−	22.9209i	−0.480163	−	1.28737i	0.440760	−	0.897625i	$-0.354709\pi$
$318$	0.689154	+	0.920602i	0.0386458	+	0.0516248i
$319$	11.5251	+	7.40673i	0.645281	+	0.414697i
$320$	−2.11643	+	0.721621i	−0.118312	+	0.0403398i
$321$		−	9.84148i		−	0.549298i
$322$	−0.855267	+	5.61128i	−0.0476622	+	0.312704i
$323$	−0.298251	−	0.298251i	−0.0165951	−	0.0165951i
$324$	−8.50133	+	7.36644i	−0.472296	+	0.409247i
$325$	1.06944	−	1.71876i	0.0593219	−	0.0953394i
$326$	1.86261	−	12.9547i	0.103160	−	0.717497i
$327$	29.7875	−	11.1102i	1.64725	−	0.614393i
$328$	−0.0157763	+	0.0210747i	−0.000871102	+	0.00116366i
$329$	6.02279	+	1.76845i	0.332047	+	0.0974979i
$330$	−1.76100	−	9.36857i	−0.0969398	−	0.515723i
$331$	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	$0.805356\pi$
$332$	−2.45913	−	1.34279i	−0.134962	−	0.0736950i
$333$	0.651608	+	9.11067i	0.0357079	+	0.499261i
$334$	−11.5355	−	9.99557i	−0.631194	−	0.546933i
$335$	−2.08310	−	2.54668i	−0.113812	−	0.139140i
$336$	2.29232	−	1.04687i	0.125056	−	0.0571113i
$337$	23.8786	+	5.19448i	1.30075	+	0.282961i	0.809018	−	0.587784i	$-0.200000\pi$
$337$	23.8786	+	5.19448i	1.30075	+	0.282961i	0.491734	+	0.870745i	$0.336363\pi$
$338$	−6.15168	−	11.2660i	−0.334607	−	0.612788i
$339$	−0.687493	−	4.78162i	−0.0373395	−	0.259702i
$340$	−0.0126241	+	0.444413i	−0.000684640	+	0.0241017i
$341$	10.0880	+	1.45043i	0.546296	+	0.0785454i
$342$	0.691578	+	3.17913i	0.0373962	+	0.171908i
$343$	−14.8738	−	1.06379i	−0.803107	−	0.0574394i
$344$	−6.90010			−0.372028
$345$	8.71366	+	21.1055i	0.469128	+	1.13628i
$346$	−9.22956			−0.496184
$347$	−20.0043	−	1.43074i	−1.07389	−	0.0768060i	−0.476823	−	0.878999i	$-0.658212\pi$
$347$	−20.0043	−	1.43074i	−1.07389	−	0.0768060i	−0.597064	+	0.802193i	$0.703666\pi$
$348$	3.09693	+	14.2363i	0.166013	+	0.763148i
$349$	5.05279	+	0.726482i	0.270470	+	0.0388877i	0.276215	−	0.961096i	$-0.410920\pi$
$349$	5.05279	+	0.726482i	0.270470	+	0.0388877i	−0.00574545	+	0.999983i	$0.501829\pi$
$350$	−5.51382	+	2.14877i	−0.294726	+	0.114857i
$351$	0.179894	+	1.25119i	0.00960202	+	0.0667835i
$352$	0.959544	+	1.75727i	0.0511439	+	0.0936630i
$353$	−35.9178	−	7.81344i	−1.91171	−	0.415867i	−0.999987	−	0.00506422i	$-0.998388\pi$
$353$	−35.9178	−	7.81344i	−1.91171	−	0.415867i	−0.911724	−	0.410803i	$-0.865248\pi$
$354$	−25.1093	+	11.4671i	−1.33455	+	0.609467i
$355$	27.7901	+	2.78265i	1.47494	+	0.147688i
$356$	0.957446	+	0.829632i	0.0507445	+	0.0439704i
$357$	−0.0357449	−	0.499780i	−0.00189182	−	0.0264511i
$358$	16.7654	+	9.15462i	0.886081	+	0.483837i
$359$	5.91797	+	12.9585i	0.312338	+	0.683925i	0.999076	−	0.0429799i	$-0.0136851\pi$
$359$	5.91797	+	12.9585i	0.312338	+	0.683925i	−0.686738	+	0.726905i	$0.740958\pi$
$360$	1.93523	−	2.83116i	0.101995	−	0.149215i
$361$	13.9124	+	4.08504i	0.732231	+	0.215002i
$362$	12.4298	−	16.6042i	0.653294	−	0.872698i
$363$	13.9475	−	5.20215i	0.732054	−	0.273042i
$364$	0.0681933	−	0.474295i	0.00357430	−	0.0248598i
$365$	5.04676	−	29.1904i	0.264159	−	1.52790i
$366$	21.2182	−	18.3857i	1.10909	−	0.961033i
$367$	9.35829	+	9.35829i	0.488499	+	0.488499i	0.907832	−	0.419333i	$-0.137736\pi$
$367$	9.35829	+	9.35829i	0.488499	+	0.488499i	−0.419333	+	0.907832i	$0.637736\pi$
$368$	−3.10984	−	3.65087i	−0.162112	−	0.190315i
$369$		−	0.0403744i		−	0.00210181i
$370$	4.29772	+	12.6047i	0.223428	+	0.655287i
$371$	−0.537744	−	0.345587i	−0.0279183	−	0.0179420i
$372$	6.49527	+	8.67666i	0.336764	+	0.449864i
$373$	10.3250	+	27.6824i	0.534609	+	1.43334i	0.870842	+	0.491563i	$0.163574\pi$
$373$	10.3250	+	27.6824i	0.534609	+	1.43334i	−0.336233	+	0.941779i	$0.609153\pi$
$374$	0.394038	−	0.0566541i	0.0203752	−	0.00292951i
$375$	−14.5277	+	18.8588i	−0.750209	+	0.973862i
$376$	−4.46168	+	2.86735i	−0.230094	+	0.147872i
$377$	2.59560	+	0.968107i	0.133680	+	0.0498601i
$378$	1.77095	−	3.24324i	0.0910876	−	0.166814i
$379$	−16.5274	+	19.0736i	−0.848955	+	0.979747i	−0.999961	−	0.00878623i	$-0.997203\pi$
$379$	−16.5274	+	19.0736i	−0.848955	+	0.979747i	0.151006	+	0.988533i	$0.451749\pi$
$380$	2.15421	+	4.22620i	0.110509	+	0.216799i
$381$	−0.464225	+	0.136309i	−0.0237830	+	0.00698330i
$382$	−2.31597	+	6.20937i	−0.118496	+	0.317699i
$383$	−2.33461	+	10.7320i	−0.119293	+	0.548380i	0.878243	+	0.478215i	$0.158716\pi$
$383$	−2.33461	+	10.7320i	−0.119293	+	0.548380i	−0.997535	+	0.0701648i	$0.977647\pi$
$384$	−0.599876	+	2.04299i	−0.0306123	+	0.104256i
$385$	2.73699	+	4.53714i	0.139490	+	0.231234i
$386$	7.79802	−	17.0753i	0.396909	−	0.869109i
$387$	8.47165	−	6.34180i	0.430638	−	0.322372i
$388$	7.01403	−	1.52581i	0.356083	−	0.0774612i
$389$	17.5352	+	20.2367i	0.889070	+	1.02604i	0.999483	+	0.0321561i	$0.0102374\pi$
$389$	17.5352	+	20.2367i	0.889070	+	1.02604i	−0.110412	+	0.993886i	$0.535217\pi$
$390$	−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
$393$	−1.83308	+	25.6298i	−0.0924667	+	1.29285i
$394$	4.08077	−	6.34980i	0.205586	−	0.319898i
$395$	15.8137	−	27.1016i	0.795676	−	1.36363i
$396$	−2.79318	−	1.27560i	−0.140362	−	0.0641014i
$397$	2.68208	+	2.00778i	0.134610	+	0.100768i	0.664461	−	0.747323i	$-0.268661\pi$
$397$	2.68208	+	2.00778i	0.134610	+	0.100768i	−0.529851	+	0.848091i	$0.677752\pi$
$398$	−12.6243	+	6.89341i	−0.632801	+	0.345536i
$399$	−2.89026	−	4.49734i	−0.144694	−	0.225149i
$400$	1.67873	−	4.70976i	0.0839364	−	0.235488i
$401$	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	$0.884673\pi$
$402$	−3.12495	+	0.223501i	−0.155858	+	0.0111472i
$403$	2.05562	−	0.147021i	0.102398	−	0.00732364i
$404$	0.905699	+	3.08453i	0.0450602	+	0.153461i
$405$	−1.08128	−	25.1300i	−0.0537295	−	1.24872i
$406$	−4.37832	−	6.81280i	−0.217292	−	0.338114i
$407$	10.4657	−	5.71471i	0.518766	−	0.283267i
$408$	0.338911	+	0.253705i	0.0167786	+	0.0125603i
$409$	7.18206	+	3.27994i	0.355130	+	0.162183i	0.584988	−	0.811042i	$-0.301099\pi$
$409$	7.18206	+	3.27994i	0.355130	+	0.162183i	−0.229858	+	0.973224i	$0.573826\pi$
$410$	−0.0149739	−	0.0569294i	−0.000739510	−	0.00281154i
$411$	−21.3184	+	33.1721i	−1.05156	+	1.63626i
$412$	−1.22935	+	17.1886i	−0.0605658	+	0.846820i
$413$	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
$417$	−38.2348	+	8.31748i	−1.87237	+	0.407309i
$418$	3.40022	−	2.54537i	0.166310	−	0.124498i
$419$	4.12451	−	9.03141i	0.201495	−	0.441213i	−0.781728	−	0.623620i	$-0.785661\pi$
$419$	4.12451	−	9.03141i	0.201495	−	0.441213i	0.983223	+	0.182406i	$0.0583886\pi$
$420$	−1.35367	+	5.46999i	−0.0660524	+	0.266908i
$421$	−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	$0.983422\pi$
$422$	0.437143	−	2.00951i	0.0212798	−	0.0978216i
$423$	2.84252	−	7.62108i	0.138208	−	0.370550i
$424$	0.518210	−	0.152160i	0.0251665	−	0.00738955i
$425$	−0.760746	−	0.639983i	−0.0369016	−	0.0310437i
$426$	17.4158	−	20.0989i	0.843800	−	0.973797i
$427$	−7.47914	+	13.6970i	−0.361941	+	0.662845i
$428$	−4.33064	−	1.61525i	−0.209329	−	0.0780759i
$429$	−1.45198	+	0.933133i	−0.0701024	+	0.0450521i
$430$	9.59330	−	12.0841i	0.462630	−	0.582747i
$431$	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	$0.423247\pi$
$432$	1.09109	+	2.92533i	0.0524953	+	0.140745i
$433$	−18.6079	−	24.8573i	−0.894241	−	1.19457i	−0.980149	−	0.198262i	$-0.936470\pi$
$433$	−18.6079	−	24.8573i	−0.894241	−	1.19457i	0.0859085	−	0.996303i	$-0.472621\pi$
$434$	−5.06823	−	3.25715i	−0.243283	−	0.156348i
$435$	−29.2377	−	14.3694i	−1.40184	−	0.688958i
$436$		−	14.9311i		−	0.715072i
$437$	−6.72720	+	7.63224i	−0.321806	+	0.365100i
$438$	−19.9462	−	19.9462i	−0.953068	−	0.953068i
$439$	18.6602	−	16.1691i	0.890601	−	0.771710i	−0.0838105	−	0.996482i	$-0.526709\pi$
$439$	18.6602	−	16.1691i	0.890601	−	0.771710i	0.974411	+	0.224772i	$0.0721636\pi$
$440$	−4.41157	−	0.762719i	−0.210313	−	0.0363612i
$441$	−1.22210	+	8.49989i	−0.0581953	+	0.404757i
$442$	0.0754224	−	0.0281311i	0.00358748	−	0.00133806i
$443$	0.662361	−	0.884810i	0.0314697	−	0.0420386i	−0.784530	−	0.620090i	$-0.787096\pi$
$443$	0.662361	−	0.884810i	0.0314697	−	0.0420386i	0.816000	+	0.578052i	$0.196187\pi$
$444$	12.1673	+	3.57265i	0.577436	+	0.169551i
$445$	−2.78408	+	0.523320i	−0.131978	+	0.0248078i
$446$	−7.50823	−	16.4407i	−0.355525	−	0.778491i
$447$	−4.24664	−	2.31884i	−0.200859	−	0.109677i
$448$	−0.0844331	−	1.18053i	−0.00398909	−	0.0557748i
$449$	−5.68681	−	4.92765i	−0.268377	−	0.232550i	0.510267	−	0.860016i	$-0.329547\pi$
$449$	−5.68681	−	4.92765i	−0.268377	−	0.232550i	−0.778644	+	0.627466i	$0.784092\pi$
$450$	2.26762	+	7.32535i	0.106896	+	0.345320i
$451$	−0.0479454	+	0.0218959i	−0.00225766	+	0.00103104i
$452$	−2.21694	−	0.482265i	−0.104276	−	0.0226839i
$453$	7.20337	+	13.1920i	0.338444	+	0.619814i
$454$	−2.36907	−	16.4772i	−0.111186	−	0.773314i
$455$	0.735819	+	0.778845i	0.0344957	+	0.0365128i
$456$	4.47096	+	0.642827i	0.209372	+	0.0301031i
$457$	−2.28912	−	10.5229i	−0.107080	−	0.492241i	−0.999183	−	0.0404082i	$-0.987134\pi$
$457$	−2.28912	−	10.5229i	−0.107080	−	0.492241i	0.892103	−	0.451832i	$-0.149229\pi$
$458$	16.6200	+	1.18869i	0.776604	+	0.0555438i
$459$	0.620778			0.0289754
$460$	10.7174	−	0.370387i	0.499702	−	0.0172694i
$461$	−41.4447			−1.93027			−0.965135	−	0.261751i	$-0.915700\pi$
$461$	−41.4447			−1.93027			−0.965135	+	0.261751i	$0.915700\pi$
$462$	5.03274	+	0.359949i	0.234144	+	0.0167463i
$463$	−0.393709	−	1.80985i	−0.0182972	−	0.0841110i	0.967093	−	0.254424i	$-0.0818858\pi$
$463$	−0.393709	−	1.80985i	−0.0182972	−	0.0841110i	−0.985390	+	0.170313i	$0.945522\pi$
$464$	6.77284	+	0.973787i	0.314421	+	0.0452069i
$465$	−24.2258	−	0.688167i	−1.12345	−	0.0319130i
$466$	2.63434	+	18.3222i	0.122033	+	0.848761i
$467$	−15.7897	−	28.9167i	−0.730662	−	1.33811i	−0.933387	−	0.358871i	$-0.883162\pi$
$467$	−15.7897	−	28.9167i	−0.730662	−	1.33811i	0.202726	−	0.979236i	$-0.435020\pi$
$468$	−0.606730	−	0.131986i	−0.0280461	−	0.00610106i
$469$	1.58408	−	0.723425i	0.0731460	−	0.0334046i
$470$	1.18157	−	11.8002i	0.0545017	−	0.544303i
$471$	−17.8545	−	15.4710i	−0.822692	−	0.712867i
$472$	0.924854	+	12.9312i	0.0425699	+	0.595205i
$473$	−12.1254	−	6.62095i	−0.557525	−	0.304431i
$474$	−12.4121	−	27.1787i	−0.570107	−	1.24836i
$475$	−10.3963	−	2.10308i	−0.477017	−	0.0964960i
$476$	−0.225790	−	0.0662978i	−0.0103490	−	0.00303875i
$477$	−0.496388	+	0.663096i	−0.0227280	+	0.0303611i
$478$	−9.67369	+	3.60810i	−0.442464	+	0.165031i
$479$	3.56848	−	24.8193i	0.163048	−	1.13402i	−0.729799	−	0.683662i	$-0.760386\pi$
$479$	3.56848	−	24.8193i	0.163048	−	1.13402i	0.892847	−	0.450361i	$-0.148705\pi$
$480$	−2.74386	−	3.89096i	−0.125239	−	0.177597i
$481$	1.82227	−	1.57901i	0.0830886	−	0.0719967i
$482$	1.87660	+	1.87660i	0.0854769	+	0.0854769i
$483$	−11.9768	+	1.61877i	−0.544965	+	0.0736565i
$484$		−	6.99127i		−	0.317785i
$485$	−7.07957	+	14.4050i	−0.321467	+	0.654096i
$486$	−12.2697	−	7.88523i	−0.556563	−	0.357681i
$487$	23.0359	+	30.7724i	1.04386	+	1.39443i	0.915320	+	0.402726i	$0.131937\pi$
$487$	23.0359	+	30.7724i	1.04386	+	1.39443i	0.128538	+	0.991705i	$0.458972\pi$
$488$	−4.60796	−	12.3544i	−0.208592	−	0.559258i
$489$	27.5837	−	3.96594i	1.24738	−	0.179346i
$490$	1.42921	+	12.4384i	0.0645649	+	0.561910i
$491$	−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	$0.340528\pi$
$492$	−0.0525192	−	0.0195887i	−0.00236775	−	0.000883125i
$493$	0.652007	−	1.19406i	0.0293649	−	0.0537779i
$494$	0.562439	−	0.649089i	0.0253053	−	0.0292039i
$495$	6.11734	−	3.11818i	0.274954	−	0.140152i
$496$	4.88412	−	1.43411i	0.219303	−	0.0643933i
$497$	−5.16605	+	13.8507i	−0.231729	+	0.621289i
$498$	1.26813	−	5.82948i	0.0568261	−	0.261225i
$499$	5.80099	−	19.7564i	0.259688	−	0.884416i	−0.721672	−	0.692236i	$-0.756626\pi$
$499$	5.80099	−	19.7564i	0.259688	−	0.884416i	0.981360	−	0.192181i	$-0.0615559\pi$
$500$	5.91422	+	9.48799i	0.264492	+	0.424316i
$501$	13.5010	−	29.5630i	0.603179	−	1.32078i
$502$	−2.54456	+	1.90483i	−0.113569	+	0.0850169i
$503$	−10.7755	+	2.34407i	−0.480456	+	0.104517i	−0.446269	−	0.894899i	$-0.647248\pi$
$503$	−10.7755	+	2.34407i	−0.480456	+	0.104517i	−0.0341865	+	0.999415i	$0.510884\pi$
$504$	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
$508$	−0.0162103	+	0.226649i	−0.000719214	+	0.0100559i
$509$	13.4035	−	20.8563i	0.594102	−	0.924440i	−0.405843	−	0.913943i	$-0.633022\pi$
$509$	13.4035	−	20.8563i	0.594102	−	0.924440i	0.999945	−	0.0104974i	$-0.00334147\pi$
$510$	−0.915505	+	0.240802i	−0.0405392	+	0.0106629i
$511$	14.2627	+	6.51356i	0.630945	+	0.288143i
$512$	0.800541	+	0.599278i	0.0353793	+	0.0264846i
$513$	5.81319	−	3.17424i	0.256659	−	0.140146i
$514$	1.36434	+	2.12295i	0.0601785	+	0.0936395i
$515$	−28.3930	−	26.0505i	−1.25115	−	1.14792i
$516$	−4.13920	−	14.0968i	−0.182218	−	0.620578i
$517$	−10.5917	+	0.757536i	−0.465824	+	0.0333164i
$518$	−7.03082	+	0.502854i	−0.308916	+	0.0220941i
$519$	−5.53659	−	18.8559i	−0.243029	−	0.827682i
$520$	−0.904462	+	0.0389169i	−0.0396633	+	0.00170662i
$521$	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	$0.711499\pi$
$522$	−9.21040	+	5.02926i	−0.403128	+	0.220125i
$523$	23.1036	+	17.2952i	1.01025	+	0.756264i	0.970045	−	0.242927i	$-0.0781076\pi$
$523$	23.1036	+	17.2952i	1.01025	+	0.756264i	0.0402062	+	0.999191i	$0.487199\pi$
$524$	10.9773	+	5.01316i	0.479545	+	0.219001i
$525$	−7.69753	−	9.97569i	−0.335948	−	0.435375i
$526$	13.3697	−	20.8036i	0.582945	−	0.907081i
$527$	0.0722021	−	1.00952i	0.00314517	−	0.0439753i
$528$	−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
$532$	−2.45338	+	0.533699i	−0.106367	+	0.0231388i
$533$	−0.00853234	+	0.00638723i	−0.000369577	+	0.000276662i
$534$	−1.12058	+	2.45373i	−0.0484923	+	0.106183i
$535$	8.84972	−	5.33852i	0.382607	−	0.230805i
$536$	−0.414537	+	1.41178i	−0.0179053	+	0.0609798i
$537$	−8.64562	+	39.7433i	−0.373086	+	1.71505i
$538$	−3.96132	+	10.6207i	−0.170784	+	0.457891i
$539$	10.7566	−	3.15841i	0.463317	−	0.136042i
$540$	−6.64008	−	2.15631i	−0.285744	−	0.0927928i
$541$	−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	$0.437123\pi$
$542$	6.53162	−	11.9618i	0.280557	−	0.513802i
$543$	41.3786	+	15.4334i	1.77572	+	0.662311i
$544$	0.167265	−	0.107494i	0.00717141	−	0.00460879i
$545$	26.1488	+	20.7590i	1.12009	+	0.889217i
$546$	1.00989	−	0.145200i	0.0432192	−	0.00621398i
$547$	−0.779899	−	2.09099i	−0.0333461	−	0.0894043i	0.919210	−	0.393768i	$-0.128829\pi$
$547$	−0.779899	−	2.09099i	−0.0333461	−	0.0894043i	−0.952556	+	0.304364i	$0.901556\pi$
$548$	11.0981	+	14.8254i	0.474089	+	0.633309i
$549$	17.0122	+	10.9331i	0.726065	+	0.466614i
$550$	7.46921	−	6.66553i	0.318488	−	0.284219i
$551$		−	14.5156i		−	0.618383i
$552$	5.59318	−	8.54345i	0.238061	−	0.363633i
$553$	11.7438	+	11.7438i	0.499397	+	0.499397i
$554$	−8.74328	+	7.57610i	−0.371467	+	0.321878i
$555$	−23.1732	+	16.3415i	−0.983646	+	0.693656i
$556$	−2.61532	+	18.1900i	−0.110914	+	0.771426i
$557$	0.0623770	−	0.0232654i	0.00264300	−	0.000985788i	−0.348142	−	0.937442i	$-0.613187\pi$
$557$	0.0623770	−	0.0232654i	0.00264300	−	0.000985788i	0.350785	+	0.936456i	$0.385915\pi$
$558$	−4.67845	+	6.24967i	−0.198054	+	0.264570i
$559$	−2.68043	−	0.787044i	−0.113370	−	0.0332884i
$560$	2.18484	+	1.49344i	0.0923264	+	0.0631093i
$561$	0.352117	+	0.771030i	0.0148664	+	0.0325529i
$562$	−7.52728	−	4.11021i	−0.317519	−	0.173379i
$563$	0.421265	+	5.89005i	0.0177542	+	0.248236i	0.998577	+	0.0533333i	$0.0169846\pi$
$563$	0.421265	+	5.89005i	0.0177542	+	0.248236i	−0.980823	+	0.194903i	$0.937561\pi$
$564$	−8.53441	−	7.39511i	−0.359364	−	0.311390i
$565$	3.92683	−	3.21201i	0.165203	−	0.135130i
$566$	−13.8779	+	6.33780i	−0.583330	+	0.266398i
$567$	13.0093	+	2.83000i	0.546339	+	0.118849i
$568$	−5.98594	−	10.9624i	−0.251164	−	0.459973i
$569$	−5.73213	−	39.8678i	−0.240303	−	1.67135i	−0.650620	−	0.759403i	$-0.725491\pi$
$569$	−5.73213	−	39.8678i	−0.240303	−	1.67135i	0.410317	−	0.911943i	$-0.365418\pi$
$570$	−7.34182	+	6.93623i	−0.307515	+	0.290527i
$571$	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	$0.358319\pi$
$572$	0.172307	+	0.792082i	0.00720451	+	0.0331186i
$573$	−14.0750	−	1.00666i	−0.587990	−	0.0420539i
$574$	0.0311575			0.00130049
$575$	−14.2519	+	19.2843i	−0.594345	+	0.804210i
$576$	−1.53366			−0.0639025
$577$	6.34303	+	0.453663i	0.264064	+	0.0188862i	0.202743	−	0.979232i	$-0.435014\pi$
$577$	6.34303	+	0.453663i	0.264064	+	0.0188862i	0.0613205	+	0.998118i	$0.480469\pi$
$578$	3.60521	+	16.5729i	0.149957	+	0.689340i
$579$	39.5625	+	5.68822i	1.64416	+	0.236395i
$580$	−11.1218	+	10.5074i	−0.461806	+	0.436294i
$581$	0.471933	+	3.28237i	0.0195791	+	0.136176i
$582$	7.32476	+	13.4143i	0.303621	+	0.556041i
$583$	1.05664	+	0.229858i	0.0437616	+	0.00951975i
$584$	−12.0508	+	5.50343i	−0.498667	+	0.227734i
$585$	1.07469	−	0.879060i	0.0444330	−	0.0363447i
$586$	24.5845	+	21.3026i	1.01558	+	0.880004i
$587$	−2.16085	−	30.2126i	−0.0891879	−	1.24701i	−0.823152	−	0.567821i	$-0.807787\pi$
$587$	−2.16085	−	30.2126i	−0.0891879	−	1.24701i	0.733964	−	0.679188i	$-0.237668\pi$
$588$	10.4638	+	5.71365i	0.431518	+	0.235627i
$589$	−4.48587	−	9.82267i	−0.184837	−	0.404736i
$590$	−23.9321	−	16.3587i	−0.985268	−	0.673476i
$591$	15.4205	+	4.52787i	0.634316	+	0.186252i
$592$	3.56909	−	4.76774i	0.146689	−	0.195953i
$593$	−40.0569	+	14.9405i	−1.64494	+	0.613531i	−0.989862	−	0.142031i	$-0.954637\pi$
$593$	−40.0569	+	14.9405i	−1.64494	+	0.613531i	−0.655078	+	0.755562i	$0.727364\pi$
$594$	−0.889637	+	6.18756i	−0.0365023	+	0.253879i
$595$	0.430025	−	0.303249i	0.0176293	−	0.0124320i
$596$	−1.71737	+	1.48811i	−0.0703462	+	0.0609553i
$597$	−21.6562	−	21.6562i	−0.886330	−	0.886330i
$598$	−0.791628	−	1.77294i	−0.0323721	−	0.0725010i
$599$			5.04783i			0.206249i	0.994668	+	0.103124i	$0.0328840\pi$
$599$			5.04783i			0.206249i	−0.994668	+	0.103124i	$0.967116\pi$
$600$	10.6290	+	0.604351i	0.433928	+	0.0246725i
$601$	−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	$0.878856\pi$
$602$	4.89405	+	6.53768i	0.199466	+	0.266456i
$603$	−0.788602	−	2.11432i	−0.0321144	−	0.0861019i
$604$	6.98726	−	1.00462i	0.284308	−	0.0408773i
$605$	12.2438	+	9.72006i	0.497779	+	0.395176i
$606$	−5.75835	+	3.70067i	−0.233917	+	0.150329i
$607$	25.8387	+	9.63734i	1.04876	+	0.391168i	0.813987	−	0.580882i	$-0.197292\pi$
$607$	25.8387	+	9.63734i	1.04876	+	0.391168i	0.234774	+	0.972050i	$0.424565\pi$
$608$	1.01667	−	1.86190i	0.0412315	−	0.0755098i
$609$	11.2920	−	13.0317i	0.457576	−	0.528071i
$610$	28.0427	+	9.10662i	1.13542	+	0.368716i
$611$	−2.06025	+	0.604944i	−0.0833488	+	0.0244734i
$612$	−0.106564	+	0.285708i	−0.00430758	+	0.0115491i
$613$	6.63436	−	30.4977i	0.267959	−	1.23179i	−0.624631	−	0.780920i	$-0.714751\pi$
$613$	6.63436	−	30.4977i	0.267959	−	1.23179i	0.892590	−	0.450869i	$-0.148886\pi$
$614$	1.12906	−	3.84523i	0.0455653	−	0.155181i
$615$	0.107324	−	0.0647422i	0.00432771	−	0.00261066i
$616$	0.984398	−	2.15553i	0.0396625	−	0.0868488i
$617$	−3.04636	+	2.28048i	−0.122642	+	0.0918086i	−0.658838	−	0.752285i	$-0.728952\pi$
$617$	−3.04636	+	2.28048i	−0.122642	+	0.0918086i	0.536196	+	0.844093i	$0.319861\pi$
$618$	−35.8535	+	7.79946i	−1.44224	+	0.313740i
$619$	9.92087	+	11.4493i	0.398754	+	0.460186i	0.919248	−	0.393679i	$-0.128798\pi$
$619$	9.92087	+	11.4493i	0.398754	+	0.460186i	−0.520494	+	0.853865i	$0.674252\pi$
$620$	−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
$623$	0.106967	−	1.49559i	0.00428554	−	0.0599197i
$624$	−0.466058	+	0.725201i	−0.0186573	+	0.0290313i
$625$	−24.8389	−	2.83376i	−0.993555	−	0.113351i
$626$	24.8913	+	11.3675i	0.994855	+	0.454335i
$627$	7.23988	+	5.41971i	0.289133	+	0.216442i
$628$	−9.73825	+	5.31749i	−0.388599	+	0.212191i
$629$	−0.640199	−	0.996170i	−0.0255264	−	0.0397199i
$630$	−4.05506	+	0.174480i	−0.161557	+	0.00695144i
$631$	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	$0.720340\pi$
$632$	−13.9969	+	1.00108i	−0.556765	+	0.0398207i
$633$	4.36765	−	0.312380i	0.173598	−	0.0124160i
$634$	−6.89212	−	23.4724i	−0.273721	−	0.932209i
$635$	−0.374392	−	0.343502i	−0.0148573	−	0.0136315i
$636$	0.621723	+	0.967420i	0.0246529	+	0.0383607i
$637$	1.98962	−	1.08641i	0.0788316	−	0.0430453i
$638$	10.9673	+	8.21005i	0.434201	+	0.325039i
$639$	17.4247	+	7.95760i	0.689311	+	0.314798i
$640$	−2.16251	+	0.568798i	−0.0854809	+	0.0224837i
$641$	−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	$0.891406\pi$
$642$	0.702083	−	9.81641i	0.0277090	−	0.387423i
$643$	−3.27418	+	3.27418i	−0.129121	+	0.129121i	−0.768714	−	0.639593i	$-0.779103\pi$
$643$	−3.27418	+	3.27418i	−0.129121	+	0.129121i	0.639593	+	0.768714i	$0.279103\pi$
$644$	−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
$647$	32.6377	−	7.09989i	1.28312	−	0.279126i	0.481228	−	0.876595i	$-0.340191\pi$
$647$	32.6377	−	7.09989i	1.28312	−	0.279126i	0.801891	+	0.597470i	$0.203827\pi$
$648$	−9.00518	+	6.74119i	−0.353757	+	0.264819i
$649$	−10.7828	+	23.6110i	−0.423261	+	0.926813i
$650$	1.18933	−	1.63808i	0.0466494	−	0.0642509i
$651$	3.61402	−	12.3082i	0.141645	−	0.482397i
$652$	2.78204	−	12.7889i	0.108953	−	0.500850i
$653$	0.654698	−	1.75531i	0.0256203	−	0.0686907i	−0.923510	−	0.383575i	$-0.874693\pi$
$653$	0.654698	−	1.75531i	0.0256203	−	0.0686907i	0.949130	+	0.314884i	$0.101966\pi$
$654$	30.5042	−	8.95684i	1.19281	−	0.350240i
$655$	−24.0414	+	12.2546i	−0.939374	+	0.478826i
$656$	−0.0172396	+	0.0198955i	−0.000673092	+	0.000776790i
$657$	9.73737	−	17.8327i	0.379891	−	0.695718i
$658$	5.88129	+	2.19361i	0.229276	+	0.0855157i
$659$	−32.8567	+	21.1157i	−1.27992	+	0.822552i	−0.990878	−	0.134765i	$-0.956972\pi$
$659$	−32.8567	+	21.1157i	−1.27992	+	0.822552i	−0.289038	+	0.957317i	$0.593336\pi$
$660$	−1.08817	−	9.47033i	−0.0423568	−	0.368632i
$661$	−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	$0.582567\pi$
$662$	2.31520	+	6.20730i	0.0899830	+	0.241254i
$663$	0.102716	+	0.137212i	0.00398915	+	0.00532887i
$664$	−2.35707	−	1.51480i	−0.0914721	−	0.0587855i
$665$	2.47630	−	5.03859i	0.0960268	−	0.195388i
$666$			9.13394i			0.353933i
$667$	−29.7336	−	13.8839i	−1.15129	−	0.537588i
$668$	−10.7930	−	10.7930i	−0.417595	−	0.417595i
$669$	29.0842	−	25.2016i	1.12446	−	0.974351i
$670$	−1.89611	−	2.68880i	−0.0732531	−	0.103877i
$671$	3.75716	−	26.1316i	0.145043	−	1.00880i
$672$	2.36116	−	0.880667i	0.0910837	−	0.0339725i
$673$	−7.34383	+	9.81021i	−0.283084	+	0.378156i	−0.919434	−	0.393245i	$-0.871353\pi$
$673$	−7.34383	+	9.81021i	−0.283084	+	0.378156i	0.636350	+	0.771400i	$0.280443\pi$
$674$	23.4472	+	6.88472i	0.903153	+	0.265190i
$675$	13.0081	−	8.63078i	0.500683	−	0.332199i
$676$	−5.33230	−	11.6761i	−0.205089	−	0.449081i
$677$	3.75147	+	2.04846i	0.144181	+	0.0787287i	0.549720	−	0.835349i	$-0.314734\pi$
$677$	3.75147	+	2.04846i	0.144181	+	0.0787287i	−0.405539	+	0.914078i	$0.632916\pi$
$678$	−0.344625	−	4.81848i	−0.0132352	−	0.185053i
$679$	−6.42052	−	5.56342i	−0.246397	−	0.213504i
$680$	−0.0442961	+	0.442380i	−0.00169868	+	0.0169645i
$681$	32.2417	−	14.7243i	1.23550	−	0.564235i
$682$	9.95882	+	2.16641i	0.381343	+	0.0829561i
$683$	15.1646	+	27.7719i	0.580257	+	1.06266i	0.988704	+	0.149880i	$0.0478886\pi$
$683$	15.1646	+	27.7719i	0.580257	+	1.06266i	−0.408447	+	0.912782i	$0.633930\pi$
$684$	0.463019	+	3.22037i	0.0177040	+	0.123134i
$685$	−41.3935	−	1.17584i	−1.58156	−	0.0449264i
$686$	−14.7600	−	2.12216i	−0.563538	−	0.0810245i
$687$	7.54149	+	34.6677i	0.287726	+	1.32265i
$688$	−6.88252	−	0.492247i	−0.262394	−	0.0187668i
$689$	0.218661			0.00833031
$690$	7.18581	+	21.6734i	0.273559	+	0.825091i
$691$	−5.81294			−0.221135			−0.110567	−	0.993869i	$-0.535267\pi$
$691$	−5.81294			−0.221135			−0.110567	+	0.993869i	$0.535267\pi$
$692$	−9.20605	−	0.658430i	−0.349961	−	0.0250297i
$693$	0.772520	+	3.55122i	0.0293456	+	0.134900i
$694$	−19.8513	−	2.85418i	−0.753544	−	0.108343i
$695$	−28.2198	−	29.8699i	−1.07044	−	1.13303i
$696$	2.07343	+	14.4210i	0.0785930	+	0.546627i
$697$	0.00250851	+	0.00459400i	9.50166e−5	+	0.000174010i
$698$	4.98809	+	1.08509i	0.188802	+	0.0410714i
$699$	−35.8519	+	16.3730i	−1.35604	+	0.619284i
$700$	−5.65307	+	1.74995i	−0.213666	+	0.0661418i
$701$	−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	$0.761409\pi$
$702$	0.0901767	+	1.26083i	0.00340350	+	0.0475871i
$703$	−11.0888	−	6.05494i	−0.418222	−	0.228366i
$704$	0.831737	+	1.82125i	0.0313473	+	0.0686409i
$705$	24.8165	−	4.66473i	0.934644	−	0.175684i
$706$	−35.2689	−	10.3559i	−1.32736	−	0.389749i
$707$	2.28013	−	3.04590i	0.0857531	−	0.114553i
$708$	−25.8634	+	9.64656i	−0.972007	+	0.362540i
$709$	−4.89751	+	34.0630i	−0.183930	+	1.27926i	0.663428	+	0.748240i	$0.269101\pi$
$709$	−4.89751	+	34.0630i	−0.183930	+	1.27926i	−0.847358	+	0.531021i	$0.821808\pi$
$710$	27.5208	+	4.75808i	1.03284	+	0.178568i
$711$	16.2647	−	14.0934i	0.609973	−	0.528545i
$712$	0.895822	+	0.895822i	0.0335723	+	0.0335723i
$713$	−24.4114	−	0.206415i	−0.914214	−	0.00773032i
$714$		−	0.501056i		−	0.0187516i
$715$	−1.62673	−	0.799483i	−0.0608362	−	0.0298990i
$716$	16.0696	+	10.3273i	0.600551	+	0.385950i
$717$	−13.1743	−	17.5988i	−0.492004	−	0.657241i
$718$	4.97844	+	13.3477i	0.185794	+	0.498132i
$719$	−40.9834	+	5.89252i	−1.52842	+	0.219754i	−0.854658	−	0.519192i	$-0.826233\pi$
$719$	−40.9834	+	5.89252i	−1.52842	+	0.219754i	−0.673765	+	0.738946i	$0.735324\pi$
$720$	2.13227	−	2.68589i	0.0794650	−	0.100097i
$721$	17.1577	−	11.0266i	0.638987	−	0.410652i
$722$	13.5855	+	5.06713i	0.505600	+	0.188579i
$723$	−2.70815	+	4.95961i	−0.100717	+	0.184450i
$724$	13.5826	−	15.6752i	0.504794	−	0.582564i
$725$	−2.93872	−	34.0860i	−0.109141	−	1.26592i
$726$	14.2831	−	4.19389i	0.530095	−	0.155650i
$727$	−11.6931	+	31.3505i	−0.433674	+	1.16272i	0.517937	+	0.855419i	$0.326700\pi$
$727$	−11.6931	+	31.3505i	−0.433674	+	1.16272i	−0.951611	+	0.307306i	$0.900572\pi$
$728$	0.101855	−	0.468222i	0.00377501	−	0.0173534i
$729$	−0.758348	+	2.58270i	−0.0280870	+	0.0956554i
$730$	7.11632	−	28.7560i	0.263387	−	1.06431i
$731$	−0.569921	+	1.24795i	−0.0210793	+	0.0461572i
$732$	22.4757	−	16.8251i	0.830727	−	0.621874i
$733$	22.2456	−	4.83923i	0.821660	−	0.178741i	0.217965	−	0.975957i	$-0.430058\pi$
$733$	22.2456	−	4.83923i	0.821660	−	0.178741i	0.603695	+	0.797216i	$0.293695\pi$
$734$	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
$738$	0.00288028	−	0.0402716i	0.000106025	−	0.00148242i
$739$	4.29850	−	6.68860i	0.158123	−	0.246044i	−0.753148	−	0.657851i	$-0.771466\pi$
$739$	4.29850	−	6.68860i	0.158123	−	0.246044i	0.911271	+	0.411807i	$0.135102\pi$
$740$	3.38756	+	12.8792i	0.124529	+	0.473448i
$741$	1.66348	+	0.759684i	0.0611093	+	0.0279077i
$742$	−0.511720	−	0.383069i	−0.0187858	−	0.0140629i
$743$	18.9929	−	10.3709i	0.696780	−	0.380471i	−0.0914850	−	0.995806i	$-0.529161\pi$
$743$	18.9929	−	10.3709i	0.696780	−	0.380471i	0.788265	+	0.615336i	$0.210980\pi$
$744$	5.85973	+	9.11792i	0.214828	+	0.334279i
$745$	−0.218432	−	5.07655i	−0.00800274	−	0.185991i
$746$	8.32387	+	28.3485i	0.304758	+	1.03791i
$747$	4.28614	−	0.306551i	0.156822	−	0.0112161i
$748$	0.397075	−	0.0283994i	0.0145185	−	0.00103838i
$749$	1.54120	+	5.24883i	0.0563141	+	0.191788i
$750$	−15.8361	+	17.7743i	−0.578252	+	0.649026i
$751$	−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	$0.877330\pi$
$752$	−4.65486	+	2.54175i	−0.169745	+	0.0926880i
$753$	−5.41798	−	4.05585i	−0.197442	−	0.147803i
$754$	2.51992	+	1.15081i	0.0917700	+	0.0419100i
$755$	−7.95511	+	13.6335i	−0.289516	+	0.496173i
$756$	1.99780	−	3.10864i	0.0726594	−	0.113060i
$757$	−0.896988	+	12.5415i	−0.0326016	+	0.455830i	0.954763	+	0.297367i	$0.0961084\pi$
$757$	−0.896988	+	12.5415i	−0.0326016	+	0.455830i	−0.987365	+	0.158463i	$0.949346\pi$
$758$	−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	$0.846895\pi$
$762$	−0.472766	+	0.102844i	−0.0171265	+	0.00372564i
$763$	−14.1469	+	10.5902i	−0.512153	+	0.383393i
$764$	−2.75304	+	6.02833i	−0.0996016	+	0.218097i
$765$	−0.352202	−	0.583848i	−0.0127339	−	0.0211091i
$766$	−3.09427	+	10.5381i	−0.111801	+	0.380758i
$767$	−1.11569	+	5.12875i	−0.0402853	+	0.185189i
$768$	−0.744093	+	1.99499i	−0.0268501	+	0.0719880i
$769$	−38.9331	+	11.4318i	−1.40396	+	0.412241i	−0.894043	−	0.447980i	$-0.852144\pi$
$769$	−38.9331	+	11.4318i	−1.40396	+	0.412241i	−0.509921	+	0.860221i	$0.670325\pi$
$770$	2.40634	+	4.72083i	0.0867186	+	0.170127i
$771$	−3.51874	+	4.06084i	−0.126724	+	0.146248i
$772$	8.99629	−	16.4755i	0.323783	−	0.592965i
$773$	−5.10843	−	1.90535i	−0.183738	−	0.0685306i	0.255911	−	0.966700i	$-0.417624\pi$
$773$	−5.10843	−	1.90535i	−0.183738	−	0.0685306i	−0.439649	+	0.898170i	$0.644897\pi$
$774$	8.90248	−	5.72128i	0.319993	−	0.205647i
$775$	−12.5225	−	22.1578i	−0.449822	−	0.795932i
$776$	7.10501	−	1.02155i	0.255055	−	0.0366714i
$777$	−5.24495	−	14.0622i	−0.188161	−	0.504480i
$778$	16.0469	+	21.4361i	0.575308	+	0.768521i
$779$	0.0469812	+	0.0301930i	0.00168328	+	0.00108178i
$780$	−0.622072	−	1.82446i	−0.0222737	−	0.0653262i
$781$		−	25.0077i		−	0.894848i
$782$	−0.917158	+	0.260899i	−0.0327975	+	0.00932973i
$783$	15.1063	+	15.1063i	0.539855	+	0.539855i
$784$	4.23161	−	3.66671i	0.151129	−	0.130954i
$785$	4.22675	−	24.4475i	0.150859	−	0.872569i
$786$	−3.65682	+	25.4337i	−0.130434	+	0.907192i
$787$	44.9559	−	16.7677i	1.60251	−	0.597704i	0.620110	−	0.784515i	$-0.287088\pi$
$787$	44.9559	−	16.7677i	1.60251	−	0.597704i	0.982396	+	0.186811i	$0.0598152\pi$
$788$	4.52336	−	6.04250i	0.161138	−	0.215255i
$789$	50.5217	+	14.8345i	1.79862	+	0.528123i
$790$	17.7069	−	25.9044i	0.629982	−	0.921638i
$791$	1.11548	+	2.44255i	0.0396618	+	0.0868472i
$792$	−2.69506	−	1.47161i	−0.0957648	−	0.0522915i
$793$	−0.380838	−	5.32481i	−0.0135240	−	0.189090i
$794$	2.53202	+	2.19400i	0.0898579	+	0.0778623i
$795$	−2.55863	−	0.256198i	−0.0907451	−	0.00908642i
$796$	−13.0839	+	5.97524i	−0.463748	+	0.211787i
$797$	45.0579	+	9.80176i	1.59603	+	0.347196i	0.920686	−	0.390303i	$-0.127630\pi$
$797$	45.0579	+	9.80176i	1.59603	+	0.347196i	0.675348	+	0.737499i	$0.263993\pi$
$798$	−2.56206	−	4.69207i	−0.0906961	−	0.166097i
$799$	0.150072	+	1.04377i	0.00530916	+	0.0369260i
$800$	2.01044	−	4.57800i	0.0710798	−	0.161857i
$801$	−1.92319	−	0.276513i	−0.0679526	−	0.00977011i
$802$	0.652431	+	2.99918i	0.0230382	+	0.105905i
$803$	−26.4574	−	1.89227i	−0.933661	−	0.0667768i
$804$	−3.13293			−0.110490
$805$	−7.95249	−	9.89179i	−0.280288	−	0.348640i
$806$	2.06087			0.0725912
$807$	−24.0743	−	1.72183i	−0.847455	−	0.0606112i
$808$	0.683343	+	3.14128i	0.0240399	+	0.110510i
$809$	−19.3351	−	2.77997i	−0.679786	−	0.0977385i	−0.206232	−	0.978503i	$-0.566120\pi$
$809$	−19.3351	−	2.77997i	−0.679786	−	0.0977385i	−0.473554	+	0.880765i	$0.657029\pi$
$810$	0.714223	−	25.1431i	0.0250952	−	0.883438i
$811$	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	$0.913574\pi$
$812$	−3.88115	−	7.10779i	−0.136202	−	0.249434i
$813$	28.3559	+	6.16845i	0.994486	+	0.216337i
$814$	10.8467	−	4.95353i	0.380177	−	0.173621i
$815$	18.5291	+	22.6527i	0.649047	+	0.793489i
$816$	0.319948	+	0.277237i	0.0112004	+	0.00970522i
$817$	1.04425	+	14.6005i	0.0365336	+	0.510806i
$818$	6.92978	+	3.78394i	0.242294	+	0.132302i
$819$	0.305283	+	0.668477i	0.0106675	+	0.0233585i
$820$	−0.0108745	−	0.0578526i	−0.000379753	−	0.00202030i
$821$	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	$0.454509\pi$
$822$	−23.6306	+	31.5668i	−0.824211	+	1.10102i
$823$	6.74289	−	2.51497i	0.235042	−	0.0876662i	−0.229183	−	0.973383i	$-0.573605\pi$
$823$	6.74289	−	2.51497i	0.235042	−	0.0876662i	0.464225	+	0.885717i	$0.346333\pi$
$824$	−2.45244	+	17.0571i	−0.0854347	+	0.594211i
$825$	18.0982	+	11.2610i	0.630099	+	0.392059i
$826$	11.5960	−	10.0480i	0.403476	−	0.349614i
$827$	3.24669	+	3.24669i	0.112898	+	0.112898i	0.761299	−	0.648401i	$-0.224562\pi$
$827$	3.24669	+	3.24669i	0.112898	+	0.112898i	−0.648401	+	0.761299i	$0.724562\pi$
$828$	7.03946	+	2.13179i	0.244638	+	0.0740848i
$829$		−	9.95166i		−	0.345636i	−0.984954	−	0.172818i	$-0.944713\pi$
$829$		−	9.95166i		−	0.345636i	0.984954	−	0.172818i	$-0.0552872\pi$
$830$	5.92992	−	2.02188i	0.205831	−	0.0701804i
$831$	−20.7228	−	13.3177i	−0.718865	−	0.461987i
$832$	0.242625	+	0.324109i	0.00841150	+	0.0112364i
$833$	−0.389052	−	1.04309i	−0.0134798	−	0.0361409i
$834$	−38.7308	+	5.56865i	−1.34114	+	0.192826i
$835$	33.9075	−	3.89606i	1.17342	−	0.134829i
$836$	3.57314	−	2.29632i	0.123580	−	0.0794198i
$837$	14.8909	+	5.55401i	0.514704	+	0.191975i
$838$	4.75829	−	8.71416i	0.164373	−	0.301026i
$839$	3.93146	−	4.53715i	0.135729	−	0.156640i	−0.683816	−	0.729655i	$-0.739681\pi$
$839$	3.93146	−	4.53715i	0.135729	−	0.156640i	0.819545	+	0.573015i	$0.194226\pi$
$840$	−1.74045	+	5.35949i	−0.0600512	+	0.184920i
$841$	17.0978	−	5.02037i	0.589580	−	0.173116i
$842$	−4.75112	+	12.7383i	−0.163734	+	0.438989i
$843$	3.88168	−	17.8438i	0.133692	−	0.614572i
$844$	0.579386	−	1.97321i	0.0199433	−	0.0679207i
$845$	27.8619	+	6.89504i	0.958478	+	0.237197i
$846$	3.37896	−	7.39888i	0.116171	−	0.254379i
$847$	−6.62406	+	4.95871i	−0.227605	+	0.170383i
$848$	0.527744	−	0.114804i	0.0181228	−	0.00394238i
$849$	−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
$853$	2.25030	−	31.4633i	0.0770488	−	1.07728i	−0.800985	−	0.598684i	$-0.795690\pi$
$853$	2.25030	−	31.4633i	0.0770488	−	1.07728i	0.878034	−	0.478598i	$-0.158855\pi$
$854$	−8.43722	+	13.1286i	−0.288716	+	0.449250i
$855$	−6.28355	−	3.66644i	−0.214893	−	0.125390i
$856$	−4.20438	−	1.92008i	−0.143703	−	0.0656268i
$857$	−4.45607	−	3.33577i	−0.152216	−	0.113948i	0.520455	−	0.853889i	$-0.325762\pi$
$857$	−4.45607	−	3.33577i	−0.152216	−	0.113948i	−0.672671	+	0.739941i	$0.734853\pi$
$858$	−1.51485	+	0.827172i	−0.0517162	+	0.0282392i
$859$	7.29231	+	11.3471i	0.248810	+	0.387157i	0.943084	−	0.332555i	$-0.107911\pi$
$859$	7.29231	+	11.3471i	0.248810	+	0.387157i	−0.694274	+	0.719711i	$0.744274\pi$
$860$	10.4309	−	11.3689i	0.355692	−	0.387677i
$861$	0.0186906	+	0.0636544i	0.000636975	+	0.00216934i
$862$	4.06572	−	0.290786i	0.138479	−	0.00990422i
$863$	44.7562	−	3.20103i	1.52352	−	0.108964i	0.715706	−	0.698402i	$-0.246105\pi$
$863$	44.7562	−	3.20103i	1.52352	−	0.108964i	0.807814	+	0.589438i	$0.200651\pi$
$864$	0.879622	+	2.99572i	0.0299254	+	0.101916i
$865$	13.9524	−	15.2071i	0.474396	−	0.517056i
$866$	−16.7872	−	26.1214i	−0.570453	−	0.887643i
$867$	−31.6955	+	17.3071i	−1.07644	+	0.587779i
$868$	−4.82295	−	3.61042i	−0.163702	−	0.122546i
$869$	−25.5569	−	11.6714i	−0.866958	−	0.395927i
$870$	−28.1381	−	16.4185i	−0.953971	−	0.556641i
$871$	−0.322064	+	0.501141i	−0.0109127	+	0.0169805i
$872$	1.06518	−	14.8931i	0.0360714	−	0.504344i
$873$	−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
$877$	10.9768	−	2.38786i	0.370661	−	0.0806323i	−0.0233767	−	0.999727i	$-0.507442\pi$
$877$	10.9768	−	2.38786i	0.370661	−	0.0806323i	0.394037	+	0.919094i	$0.371078\pi$
$878$	19.7661	−	14.7967i	0.667074	−	0.499365i
$879$	−28.7734	+	63.0049i	−0.970502	+	2.12510i
$880$	−4.34592	−	1.07549i	−0.146501	−	0.0362549i
$881$	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	$-0.262199\pi$
$882$	−1.82536	+	8.39105i	−0.0614631	+	0.282541i
$883$	5.04295	−	13.5207i	0.169709	−	0.455007i	−0.824055	−	0.566509i	$-0.808294\pi$
$883$	5.04295	−	13.5207i	0.169709	−	0.455007i	0.993764	+	0.111502i	$0.0355662\pi$
$884$	0.0772371	−	0.0226789i	0.00259776	−	0.000762772i
$885$	19.0643	−	58.7062i	0.640840	−	1.97339i
$886$	0.723795	−	0.835303i	0.0243164	−	0.0280626i
$887$	−4.66866	+	8.55001i	−0.156758	+	0.287081i	−0.944241	−	0.329256i	$-0.893202\pi$
$887$	−4.66866	+	8.55001i	−0.156758	+	0.287081i	0.787483	+	0.616337i	$0.211384\pi$
$888$	11.8815	+	4.43156i	0.398716	+	0.148713i
$889$	0.226242	−	0.145397i	0.00758792	−	0.00487646i
$890$	−2.81432	+	0.323373i	−0.0943362	+	0.0108395i
$891$	−22.2930	+	3.20525i	−0.746845	+	0.107380i
$892$	−6.31623	−	16.9345i	−0.211483	−	0.567008i
$893$	6.74247	+	9.00689i	0.225628	+	0.301404i
$894$	−4.07040	−	2.61589i	−0.136134	−	0.0874883i
$895$	−40.4280	+	13.7844i	−1.35136	+	0.460762i
$896$		−	1.18354i		−	0.0395395i
$897$	3.14723	−	2.68083i	0.105083	−	0.0895104i
$898$	−5.32078	−	5.32078i	−0.177557	−	0.177557i
$899$	26.3231	−	22.8091i	0.877923	−	0.760725i
$900$	1.73925	+	7.46845i	0.0579751	+	0.248948i
$901$	0.0152824	−	0.106291i	0.000509130	−	0.00354108i
$902$	−0.0493853	+	0.0184198i	−0.00164435	+	0.000613311i
$903$	−10.4206	+	13.9203i	−0.346776	+	0.463238i
$904$	−2.17689	−	0.639191i	−0.0724021	−	0.0212592i
$905$	8.56773	+	45.5806i	0.284801	+	1.51515i
$906$	6.24391	+	13.6723i	0.207440	+	0.454231i
$907$	9.48067	+	5.17683i	0.314800	+	0.171894i	0.628879	−	0.777503i	$-0.283514\pi$
$907$	9.48067	+	5.17683i	0.314800	+	0.171894i	−0.314079	+	0.949397i	$0.601696\pi$
$908$	−1.18756	−	16.6042i	−0.0394105	−	0.551031i
$909$	−3.72609	−	3.22868i	−0.123587	−	0.107088i
$910$	0.678382	+	0.829354i	0.0224882	+	0.0274928i
$911$	−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	$0.593354\pi$
$912$	4.41371	+	0.960144i	0.146153	+	0.0317935i
$913$	−2.68850	−	4.92362i	−0.0889764	−	0.162948i
$914$	−1.53259	−	10.6594i	−0.0506936	−	0.352581i
$915$	−1.78260	+	62.7538i	−0.0589311	+	2.07458i
$916$	16.4929	+	2.37132i	0.544941	+	0.0783506i
$917$	−3.03603	−	13.9564i	−0.100259	−	0.460881i
$918$	0.619197	+	0.0442858i	0.0204365	+	0.00146165i
$919$	−41.2334			−1.36016			−0.680082	−	0.733136i	$-0.738056\pi$
$919$	−41.2334			−1.36016			−0.680082	+	0.733136i	$0.738056\pi$
$920$	10.7165	+	0.395127i	0.353313	+	0.0130270i
$921$	8.53307			0.281174
$922$	−41.3391	−	2.95663i	−1.36143	−	0.0973714i
$923$	−1.07491	−	4.94126i	−0.0353809	−	0.162644i
$924$	4.99424	+	0.718064i	0.164299	+	0.0236226i
$925$	−27.2650	−	11.9735i	−0.896467	−	0.393686i
$926$	−0.263593	−	1.83333i	−0.00866220	−	0.0602469i
$927$	−12.6660	−	23.1960i	−0.416005	−	0.761855i
$928$	6.68611	+	1.45448i	0.219482	+	0.0477455i
$929$	21.2418	−	9.70082i	0.696922	−	0.318274i	−0.0352644	−	0.999378i	$-0.511227\pi$
$929$	21.2418	−	9.70082i	0.696922	−	0.318274i	0.732186	+	0.681104i	$0.238500\pi$
$930$	−24.1150	−	2.41466i	−0.790763	−	0.0791800i
$931$	−8.97687	−	7.77851i	−0.294205	−	0.254930i
$932$	1.32053	+	18.4635i	0.0432556	+	0.604792i
$933$	−54.9011	−	29.9783i	−1.79738	−	0.981444i
$934$	−13.6866	−	29.9695i	−0.447839	−	0.980631i
$935$	−0.502324	+	0.734879i	−0.0164277	+	0.0240331i
$936$	−0.595769	−	0.174933i	−0.0194733	−	0.00571788i
$937$	−8.89055	+	11.8764i	−0.290442	+	0.387985i	−0.921902	−	0.387424i	$-0.873365\pi$
$937$	−8.89055	+	11.8764i	−0.290442	+	0.387985i	0.631460	+	0.775408i	$0.282456\pi$
$938$	1.63165	−	0.608574i	0.0532753	−	0.0198707i
$939$	−8.29193	+	57.6716i	−0.270597	+	1.88204i
$940$	2.02038	−	11.6859i	0.0658974	−	0.381151i
$941$	−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
$943$	0.106784	−	0.0673570i	0.00347737	−	0.00219345i
$944$			12.9642i			0.421948i
$945$	2.66657	+	7.82073i	0.0867436	+	0.254408i
$946$	−11.6221	−	7.46909i	−0.377868	−	0.242841i
$947$	−12.7484	−	17.0299i	−0.414268	−	0.553397i	0.544068	−	0.839041i	$-0.316883\pi$
$947$	−12.7484	−	17.0299i	−0.414268	−	0.553397i	−0.958336	+	0.285644i	$0.907793\pi$
$948$	−10.4416	−	27.9949i	−0.339126	−	0.909233i
$949$	−5.30903	+	0.763323i	−0.172338	+	0.0247785i
$950$	−10.2198	−	2.83939i	−0.331575	−	0.0921220i
$951$	43.8195	−	28.1611i	1.42094	−	0.913185i
$952$	−0.220485	−	0.0822365i	−0.00714595	−	0.00266530i
$953$	−0.321182	+	0.588201i	−0.0104041	+	0.0190537i	−0.882829	−	0.469694i	$-0.844364\pi$
$953$	−0.321182	+	0.588201i	−0.0104041	+	0.0190537i	0.872425	+	0.488748i	$0.162546\pi$
$954$	−0.542428	+	0.625995i	−0.0175617	+	0.0202673i
$955$	−6.72977	−	13.2027i	−0.217770	−	0.427228i
$956$	−9.90644	+	2.90879i	−0.320397	+	0.0940771i
$957$	−10.1940	+	27.3312i	−0.329525	+	0.883491i
$958$	5.32998	−	24.5015i	0.172204	−	0.791608i
$959$	6.17510	−	21.0304i	0.199404	−	0.679109i
$960$	−2.45929	−	4.07679i	−0.0793732	−	0.131578i
$961$	−2.11393	+	4.62886i	−0.0681913	+	0.149318i
$962$	1.93028	−	1.44499i	0.0622346	−	0.0465883i
$963$	6.92668	−	1.50681i	0.223209	−	0.0485561i
$964$	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	$-0.0525145\pi$
$968$	0.498751	−	6.97345i	0.0160305	−	0.224135i
$969$	0.485546	−	0.755524i	0.0155980	−	0.0242709i
$970$	−8.08917	+	13.8632i	−0.259728	+	0.445121i
$971$	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	$0.613250\pi$
$972$	−11.6759	−	8.74044i	−0.374503	−	0.280350i
$973$	19.0895	−	10.4237i	0.611982	−	0.334168i
$974$	20.7820	+	32.3374i	0.665897	+	1.03616i
$975$	4.06004	+	1.44714i	0.130025	+	0.0463457i
$976$	−3.71486	−	12.6517i	−0.118910	−	0.404970i
$977$	34.8661	−	2.49367i	1.11546	−	0.0797796i	0.498588	−	0.866839i	$-0.333852\pi$
$977$	34.8661	−	2.49367i	1.11546	−	0.0797796i	0.616877	+	0.787060i	$0.288398\pi$
$978$	27.7964	−	1.98804i	0.888830	−	0.0635704i
$979$	0.714623	+	2.43378i	0.0228395	+	0.0777840i
$980$	0.538219	+	12.5087i	0.0171928	+	0.399575i
$981$	12.3803	+	19.2641i	0.395272	+	0.615056i
$982$	−2.72842	+	1.48983i	−0.0870675	+	0.0475424i
$983$	−36.9291	−	27.6448i	−1.17786	−	0.881732i	−0.183008	−	0.983111i	$-0.558583\pi$
$983$	−36.9291	−	27.6448i	−1.17786	−	0.881732i	−0.994848	+	0.101380i	$0.967674\pi$
$984$	−0.0509880	−	0.0232854i	−0.00162544	−	0.000742312i
$985$	4.29330	+	16.3227i	0.136796	+	0.520084i
$986$	0.735529	−	1.14451i	0.0234240	−	0.0364485i
$987$	−0.953474	+	13.3313i	−0.0303494	+	0.424340i
$988$	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	$0.826631\pi$
$992$	4.97398	−	1.08202i	0.157924	−	0.0343543i
$993$	−11.2926	+	8.45355i	−0.358361	+	0.268265i
$994$	−6.14098	+	13.4469i	−0.194780	+	0.426509i
$995$	7.72640	−	31.2213i	0.244943	−	0.989781i
$996$	1.68077	−	5.72416i	0.0532571	−	0.181377i
$997$	3.68000	−	16.9167i	0.116547	−	0.535757i	−0.881438	−	0.472300i	$-0.843424\pi$
$997$	3.68000	−	16.9167i	0.116547	−	0.535757i	0.997985	−	0.0634567i	$-0.0202125\pi$
$998$	7.19561	−	19.2922i	0.227773	−	0.610683i
$999$	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.33.11	yes	240
5.2	odd	4	inner	230.2.l.a.217.5	yes	240
23.7	odd	22	inner	230.2.l.a.53.5	yes	240
115.7	even	44	inner	230.2.l.a.7.11	✓	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.7.11	✓	240	115.7	even	44	inner
230.2.l.a.33.11	yes	240	1.1	even	1	trivial
230.2.l.a.53.5	yes	240	23.7	odd	22	inner
230.2.l.a.217.5	yes	240	5.2	odd	4	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
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+(0.997452 + 0.0713392i) q^{2} +(0.452602 + 2.08058i) q^{3} +(0.989821 + 0.142315i) q^{4} +(-1.62540 + 1.53561i) q^{5} +(0.303022 + 2.10757i) q^{6} +(-0.567213 - 1.03877i) q^{7} +(0.977147 + 0.212565i) q^{8} +(-1.39507 + 0.637105i) q^{9} +(-1.73080 + 1.41574i) q^{10} +(1.51315 + 1.31115i) q^{11} +(0.151898 + 2.12381i) q^{12} +(0.355339 + 0.194030i) q^{13} +(-0.491662 - 1.07659i) q^{14} +(-3.93061 - 2.68675i) q^{15} +(0.959493 + 0.281733i) q^{16} +(0.119153 - 0.159170i) q^{17} +(-1.43696 + 0.535959i) q^{18} +(0.301905 - 2.09979i) q^{19} +(-1.82739 + 1.28866i) q^{20} +(1.90453 - 1.65028i) q^{21} +(1.41576 + 1.41576i) q^{22} +(-4.01244 - 2.62684i) q^{23} +2.12924i q^{24} +(0.283834 - 4.99194i) q^{25} +(0.340591 + 0.218885i) q^{26} +(1.87106 + 2.49944i) q^{27} +(-0.413607 - 1.10892i) q^{28} +(6.77284 - 0.973787i) q^{29} +(-3.72892 - 2.96031i) q^{30} +(4.28224 - 2.75203i) q^{31} +(0.936950 + 0.349464i) q^{32} +(-2.04310 + 3.74166i) q^{33} +(0.130205 - 0.150264i) q^{34} +(2.51709 + 0.817404i) q^{35} +(-1.47154 + 0.432082i) q^{36} +(2.08129 - 5.58014i) q^{37} +(0.450933 - 2.07291i) q^{38} +(-0.242867 + 0.827129i) q^{39} +(-1.91467 + 1.15501i) q^{40} +(-0.0109360 + 0.0239466i) q^{41} +(2.01740 - 1.51021i) q^{42} +(-6.74241 + 1.46672i) 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} +(-0.151898 + 2.12381i) q^{48} +(3.02717 - 4.71036i) q^{49} +(0.639232 - 4.95897i) q^{50} +(0.385095 + 0.175867i) q^{51} +(0.324109 + 0.242625i) q^{52} +(0.474023 - 0.258836i) q^{53} +(1.68798 + 2.62655i) q^{54} +(-4.47288 + 0.192458i) q^{55} +(-0.333443 - 1.13560i) q^{56} +(4.50543 - 0.322235i) q^{57} +(6.82505 - 0.488137i) q^{58} +(3.65243 + 12.4390i) q^{59} +(-3.50823 - 3.21879i) q^{60} +(-7.12877 - 11.0926i) q^{61} +(4.46766 - 2.43953i) q^{62} +(1.45311 + 1.08778i) q^{63} +(0.909632 + 0.415415i) q^{64} +(-0.875520 + 0.230285i) q^{65} +(-2.30482 + 3.58637i) q^{66} +(-0.104967 + 1.46764i) 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} +(-1.49861 + 0.326003i) q^{72} +(-10.6056 + 7.93925i) q^{73} +(2.47407 - 5.41745i) q^{74} +(10.5146 - 1.66882i) q^{75} +(0.597663 - 2.03545i) q^{76} +(0.503710 - 2.31552i) q^{77} +(-0.301255 + 0.807695i) q^{78} +(-13.4642 + 3.95345i) q^{79} +(-1.99219 + 1.01547i) q^{80} +(-7.36644 + 8.50133i) q^{81} +(-0.0126165 + 0.0231054i) q^{82} +(-2.62520 - 0.979148i) q^{83} +(2.12000 - 1.36244i) q^{84} +(0.0507510 + 0.441686i) q^{85} +(-6.82987 + 0.981986i) q^{86} +(5.09145 + 13.6507i) q^{87} +(1.19986 + 1.60283i) q^{88} +(1.06577 + 0.684929i) q^{89} +(1.51261 - 3.07775i) q^{90} -0.479172i q^{91} +(-3.59776 - 3.17114i) q^{92} +(7.66397 + 7.66397i) q^{93} +(-4.00820 + 3.47312i) q^{94} +(2.73374 + 3.87660i) q^{95} +(-0.303022 + 2.10757i) q^{96} +(6.72549 - 2.50848i) q^{97} +(3.35549 - 4.48241i) 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

Related objects

Downloads

Learn more