LMFDB - Embedded newform 570.2.bi.a.347.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(17,570)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([18, 9, 20]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("570.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bi (of order $36$, degree $12$, 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:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$40$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			347.9
Character	$\chi$	$=$	570.347
Dual form			570.2.bi.a.23.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.422618 + 0.906308i) q^{2} +(-0.573806 + 1.63424i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(1.58610 + 1.57617i) q^{5} +(-1.23863 - 1.21071i) q^{6} +(0.599112 - 2.23592i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-2.34149 - 1.87548i) q^{9} +O(q^{10})$	\(q+(-0.422618 + 0.906308i) q^{2} +(-0.573806 + 1.63424i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(1.58610 + 1.57617i) q^{5} +(-1.23863 - 1.21071i) q^{6} +(0.599112 - 2.23592i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-2.34149 - 1.87548i) q^{9} +(-2.09880 + 0.771375i) q^{10} +(4.47974 + 2.58638i) q^{11} +(1.62074 - 0.610909i) q^{12} +(4.74996 + 3.32596i) q^{13} +(1.77323 + 1.48792i) q^{14} +(-3.48595 + 1.68765i) q^{15} +(-0.173648 + 0.984808i) q^{16} +(-1.73115 + 3.71246i) q^{17} +(2.68932 - 1.32950i) q^{18} +(-4.35033 - 0.273142i) q^{19} +(0.187889 - 2.22816i) q^{20} +(3.31025 + 2.26208i) q^{21} +(-4.23727 + 2.96697i) q^{22} +(2.89339 + 0.253139i) q^{23} +(-0.131281 + 1.72707i) q^{24} +(0.0314051 + 4.99990i) q^{25} +(-5.02176 + 2.89931i) q^{26} +(4.40855 - 2.75041i) q^{27} +(-2.09791 + 0.978273i) q^{28} +(-3.37172 - 1.22720i) q^{29} +(-0.0563069 - 3.87257i) q^{30} +(-2.06984 - 3.58508i) q^{31} +(-0.819152 - 0.573576i) q^{32} +(-6.79726 + 5.83689i) q^{33} +(-2.63302 - 3.13791i) q^{34} +(4.47442 - 2.60208i) q^{35} +(0.0683842 + 2.99922i) q^{36} +(-4.36608 - 4.36608i) q^{37} +(2.08608 - 3.82731i) q^{38} +(-8.16097 + 5.85413i) q^{39} +(1.93999 + 1.11195i) q^{40} +(-5.60496 - 0.988305i) q^{41} +(-3.44911 + 2.04411i) q^{42} +(10.8143 - 0.946125i) q^{43} +(-0.898239 - 5.09417i) q^{44} +(-0.757773 - 6.66527i) q^{45} +(-1.45222 + 2.51532i) q^{46} +(0.499537 - 0.232938i) q^{47} +(-1.50977 - 0.848872i) q^{48} +(1.42179 + 0.820871i) q^{49} +(-4.54472 - 2.08459i) q^{50} +(-5.07372 - 4.95935i) q^{51} +(-0.505384 - 5.77656i) q^{52} +(-7.02820 - 0.614888i) q^{53} +(0.629582 + 5.15787i) q^{54} +(3.02874 + 11.1630i) q^{55} -2.31479i q^{56} +(2.94263 - 6.95276i) q^{57} +(2.53717 - 2.53717i) q^{58} +(-3.30604 + 1.20330i) q^{59} +(3.53354 + 1.58559i) q^{60} +(-4.90968 + 4.11971i) q^{61} +(4.12394 - 0.360798i) q^{62} +(-5.59623 + 4.11176i) q^{63} +(0.866025 - 0.500000i) q^{64} +(2.29164 + 12.7620i) q^{65} +(-2.41737 - 8.62719i) q^{66} +(5.13504 + 11.0121i) q^{67} +(3.95667 - 1.06019i) q^{68} +(-2.07393 + 4.58324i) q^{69} +(0.467312 + 5.15489i) q^{70} +(-4.62681 + 5.51402i) q^{71} +(-2.74712 - 1.20555i) q^{72} +(5.55173 + 7.92870i) q^{73} +(5.80220 - 2.11183i) q^{74} +(-8.18907 - 2.81765i) q^{75} +(2.58710 + 3.50812i) q^{76} +(8.46679 - 8.46679i) q^{77} +(-1.85666 - 9.87041i) q^{78} +(0.848542 + 0.149621i) q^{79} +(-1.82764 + 1.28830i) q^{80} +(1.96518 + 8.78283i) q^{81} +(3.26447 - 4.66214i) q^{82} +(4.46320 - 16.6569i) q^{83} +(-0.394939 - 3.98984i) q^{84} +(-8.59723 + 3.15975i) q^{85} +(-3.71282 + 10.2009i) q^{86} +(3.94026 - 4.80602i) q^{87} +(4.99650 + 1.33881i) q^{88} +(-1.20696 - 6.84502i) q^{89} +(6.36103 + 2.13009i) q^{90} +(10.2823 - 8.62789i) q^{91} +(-1.66592 - 2.37918i) q^{92} +(7.04657 - 1.32549i) q^{93} +0.551178i q^{94} +(-6.46953 - 7.29007i) q^{95} +(1.40740 - 1.00957i) q^{96} +(-7.44149 - 3.47002i) q^{97} +(-1.34484 + 0.941664i) q^{98} +(-5.63858 - 14.4576i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q+O(q^{10}) $ 480 * q	$ 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) $ 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−0.422618	+	0.906308i	−0.298836	+	0.640856i
$2$	−0.422618	+	0.906308i	−0.298836	+	0.640856i
$3$	−0.573806	+	1.63424i	−0.331287	+	0.943530i
$3$	−0.573806	+	1.63424i	−0.331287	+	0.943530i
$4$	−0.642788	−	0.766044i	−0.321394	−	0.383022i
$5$	1.58610	+	1.57617i	0.709324	+	0.704883i
$5$	1.58610	+	1.57617i	0.709324	+	0.704883i
$6$	−1.23863	−	1.21071i	−0.505667	−	0.494268i
$7$	0.599112	−	2.23592i	0.226443	−	0.845097i	−0.755378	−	0.655289i	$-0.772547\pi$
$7$	0.599112	−	2.23592i	0.226443	−	0.845097i	0.981821	−	0.189808i	$-0.0607865\pi$
$8$	0.965926	−	0.258819i	0.341506	−	0.0915064i
$9$	−2.34149	−	1.87548i	−0.780498	−	0.625159i
$10$	−2.09880	+	0.771375i	−0.663700	+	0.243930i
$11$	4.47974	+	2.58638i	1.35069	+	0.779822i	0.988346	−	0.152222i	$-0.0486430\pi$
$11$	4.47974	+	2.58638i	1.35069	+	0.779822i	0.362345	+	0.932044i	$0.381976\pi$
$12$	1.62074	−	0.610909i	0.467867	−	0.176354i
$13$	4.74996	+	3.32596i	1.31740	+	0.922454i	0.999669	−	0.0257261i	$-0.00818976\pi$
$13$	4.74996	+	3.32596i	1.31740	+	0.922454i	0.317732	+	0.948180i	$0.397079\pi$
$14$	1.77323	+	1.48792i	0.473916	+	0.397663i
$15$	−3.48595	+	1.68765i	−0.900068	+	0.435750i
$16$	−0.173648	+	0.984808i	−0.0434120	+	0.246202i
$17$	−1.73115	+	3.71246i	−0.419866	+	0.900405i	0.576650	+	0.816992i	$0.304360\pi$
$17$	−1.73115	+	3.71246i	−0.419866	+	0.900405i	−0.996515	+	0.0834129i	$0.973418\pi$
$18$	2.68932	−	1.32950i	0.633878	−	0.313367i
$19$	−4.35033	−	0.273142i	−0.998035	−	0.0626631i
$19$	−4.35033	−	0.273142i	−0.998035	−	0.0626631i
$20$	0.187889	−	2.22816i	0.0420134	−	0.498232i
$21$	3.31025	+	2.26208i	0.722357	+	0.493626i
$22$	−4.23727	+	2.96697i	−0.903389	+	0.632560i
$23$	2.89339	+	0.253139i	0.603313	+	0.0527830i	0.384720	−	0.923033i	$-0.374298\pi$
$23$	2.89339	+	0.253139i	0.603313	+	0.0527830i	0.218593	+	0.975816i	$0.429853\pi$
$24$	−0.131281	+	1.72707i	−0.0267977	+	0.352536i
$25$	0.0314051	+	4.99990i	0.00628103	+	0.999980i
$26$	−5.02176	+	2.89931i	−0.984848	+	0.568602i
$27$	4.40855	−	2.75041i	0.848425	−	0.529316i
$28$	−2.09791	+	0.978273i	−0.396468	+	0.184876i
$29$	−3.37172	−	1.22720i	−0.626112	−	0.227886i	0.00942624	−	0.999956i	$-0.496999\pi$
$29$	−3.37172	−	1.22720i	−0.626112	−	0.227886i	−0.635538	+	0.772069i	$0.719222\pi$
$30$	−0.0563069	−	3.87257i	−0.0102802	−	0.707032i
$31$	−2.06984	−	3.58508i	−0.371755	−	0.643899i	0.618081	−	0.786115i	$-0.287911\pi$
$31$	−2.06984	−	3.58508i	−0.371755	−	0.643899i	−0.989836	+	0.142216i	$0.954577\pi$
$32$	−0.819152	−	0.573576i	−0.144807	−	0.101395i
$33$	−6.79726	+	5.83689i	−1.18325	+	1.01607i
$34$	−2.63302	−	3.13791i	−0.451559	−	0.538147i
$35$	4.47442	−	2.60208i	0.756316	−	0.439832i
$36$	0.0683842	+	2.99922i	0.0113974	+	0.499870i
$37$	−4.36608	−	4.36608i	−0.717779	−	0.717779i	0.250371	−	0.968150i	$-0.419447\pi$
$37$	−4.36608	−	4.36608i	−0.717779	−	0.717779i	−0.968150	+	0.250371i	$0.919447\pi$
$38$	2.08608	−	3.82731i	0.338407	−	0.620871i
$39$	−8.16097	+	5.85413i	−1.30680	+	0.937410i
$40$	1.93999	+	1.11195i	0.306740	+	0.175814i
$41$	−5.60496	−	0.988305i	−0.875347	−	0.154347i	−0.282117	−	0.959380i	$-0.591037\pi$
$41$	−5.60496	−	0.988305i	−0.875347	−	0.154347i	−0.593230	+	0.805033i	$0.702148\pi$
$42$	−3.44911	+	2.04411i	−0.532210	+	0.315414i
$43$	10.8143	−	0.946125i	1.64916	−	0.144283i	0.775674	−	0.631134i	$-0.217410\pi$
$43$	10.8143	−	0.946125i	1.64916	−	0.144283i	0.873485	+	0.486852i	$0.161855\pi$
$44$	−0.898239	−	5.09417i	−0.135415	−	0.767975i
$45$	−0.757773	−	6.66527i	−0.112962	−	0.993599i
$46$	−1.45222	+	2.51532i	−0.214118	+	0.370863i
$47$	0.499537	−	0.232938i	0.0728649	−	0.0339775i	−0.385844	−	0.922564i	$-0.626090\pi$
$47$	0.499537	−	0.232938i	0.0728649	−	0.0339775i	0.458709	+	0.888586i	$0.348312\pi$
$48$	−1.50977	−	0.848872i	−0.217917	−	0.122524i
$49$	1.42179	+	0.820871i	0.203113	+	0.117267i
$50$	−4.54472	−	2.08459i	−0.642721	−	0.294805i
$51$	−5.07372	−	4.95935i	−0.710463	−	0.694448i
$52$	−0.505384	−	5.77656i	−0.0700841	−	0.801065i
$53$	−7.02820	−	0.614888i	−0.965397	−	0.0844613i	−0.406458	−	0.913670i	$-0.633236\pi$
$53$	−7.02820	−	0.614888i	−0.965397	−	0.0844613i	−0.558940	+	0.829208i	$0.688792\pi$
$54$	0.629582	+	5.15787i	0.0856752	+	0.701897i
$55$	3.02874	+	11.1630i	0.408395	+	1.50522i
$56$		−	2.31479i		−	0.309327i
$57$	2.94263	−	6.95276i	0.389761	−	0.920916i
$58$	2.53717	−	2.53717i	0.333147	−	0.333147i
$59$	−3.30604	+	1.20330i	−0.430409	+	0.156656i	−0.548135	−	0.836390i	$-0.684662\pi$
$59$	−3.30604	+	1.20330i	−0.430409	+	0.156656i	0.117726	+	0.993046i	$0.462440\pi$
$60$	3.53354	+	1.58559i	0.456178	+	0.204699i
$61$	−4.90968	+	4.11971i	−0.628620	+	0.527475i	−0.900500	−	0.434856i	$-0.856799\pi$
$61$	−4.90968	+	4.11971i	−0.628620	+	0.527475i	0.271880	+	0.962331i	$0.412355\pi$
$62$	4.12394	−	0.360798i	0.523740	−	0.0458213i
$63$	−5.59623	+	4.11176i	−0.705058	+	0.518033i
$64$	0.866025	−	0.500000i	0.108253	−	0.0625000i
$65$	2.29164	+	12.7620i	0.284242	+	1.58293i
$66$	−2.41737	−	8.62719i	−0.297558	−	1.06193i
$67$	5.13504	+	11.0121i	0.627345	+	1.34534i	0.921048	+	0.389448i	$0.127334\pi$
$67$	5.13504	+	11.0121i	0.627345	+	1.34534i	−0.293704	+	0.955897i	$0.594888\pi$
$68$	3.95667	−	1.06019i	0.479817	−	0.128567i
$69$	−2.07393	+	4.58324i	−0.249672	+	0.551757i
$70$	0.467312	+	5.15489i	0.0558545	+	0.616127i
$71$	−4.62681	+	5.51402i	−0.549101	+	0.654393i	−0.967202	−	0.254007i	$-0.918251\pi$
$71$	−4.62681	+	5.51402i	−0.549101	+	0.654393i	0.418101	+	0.908401i	$0.362696\pi$
$72$	−2.74712	−	1.20555i	−0.323751	−	0.142075i
$73$	5.55173	+	7.92870i	0.649781	+	0.927984i	0.999962	−	0.00869809i	$-0.00276872\pi$
$73$	5.55173	+	7.92870i	0.649781	+	0.927984i	−0.350181	+	0.936682i	$0.613880\pi$
$74$	5.80220	−	2.11183i	0.674492	−	0.245495i
$75$	−8.18907	−	2.81765i	−0.945592	−	0.325354i
$76$	2.58710	+	3.50812i	0.296761	+	0.402409i
$77$	8.46679	−	8.46679i	0.964880	−	0.964880i
$78$	−1.85666	−	9.87041i	−0.210226	−	1.11760i
$79$	0.848542	+	0.149621i	0.0954684	+	0.0168337i	0.221178	−	0.975233i	$-0.429010\pi$
$79$	0.848542	+	0.149621i	0.0954684	+	0.0168337i	−0.125710	+	0.992067i	$0.540121\pi$
$80$	−1.82764	+	1.28830i	−0.204337	+	0.144037i
$81$	1.96518	+	8.78283i	0.218353	+	0.975870i
$82$	3.26447	−	4.66214i	0.360500	−	0.514847i
$83$	4.46320	−	16.6569i	0.489900	−	1.82833i	−0.0670023	−	0.997753i	$-0.521343\pi$
$83$	4.46320	−	16.6569i	0.489900	−	1.82833i	0.556902	−	0.830578i	$-0.311990\pi$
$84$	−0.394939	−	3.98984i	−0.0430914	−	0.435327i
$85$	−8.59723	+	3.15975i	−0.932500	+	0.342723i
$86$	−3.71282	+	10.2009i	−0.400364	+	1.09999i
$87$	3.94026	−	4.80602i	0.422440	−	0.515260i
$88$	4.99650	+	1.33881i	0.532628	+	0.142717i
$89$	−1.20696	−	6.84502i	−0.127938	−	0.725570i	−0.979520	−	0.201349i	$-0.935468\pi$
$89$	−1.20696	−	6.84502i	−0.127938	−	0.725570i	0.851582	−	0.524221i	$-0.175644\pi$
$90$	6.36103	+	2.13009i	0.670512	+	0.224531i
$91$	10.2823	−	8.62789i	1.07788	−	0.904449i
$92$	−1.66592	−	2.37918i	−0.173684	−	0.248046i
$93$	7.04657	−	1.32549i	0.730695	−	0.137447i
$94$			0.551178i			0.0568496i
$95$	−6.46953	−	7.29007i	−0.663760	−	0.747946i
$96$	1.40740	−	1.00957i	0.143642	−	0.103039i
$97$	−7.44149	−	3.47002i	−0.755569	−	0.352328i	0.00636721	−	0.999980i	$-0.497973\pi$
$97$	−7.44149	−	3.47002i	−0.755569	−	0.352328i	−0.761936	+	0.647652i	$0.775751\pi$
$98$	−1.34484	+	0.941664i	−0.135849	+	0.0951225i
$99$	−5.63858	−	14.4576i	−0.566699	−	1.45305i
$100$	3.80996	−	3.23793i	0.380996	−	0.323793i
$101$	3.02182	−	0.532828i	0.300682	−	0.0530184i	−0.0212718	−	0.999774i	$-0.506772\pi$
$101$	3.02182	−	0.532828i	0.300682	−	0.0530184i	0.321954	+	0.946755i	$0.395660\pi$
$102$	6.63895	−	2.50244i	0.657354	−	0.247778i
$103$	−1.64192	−	6.12774i	−0.161784	−	0.603785i	−0.998429	−	0.0560391i	$-0.982153\pi$
$103$	−1.64192	−	6.12774i	−0.161784	−	0.603785i	0.836645	−	0.547746i	$-0.184514\pi$
$104$	5.44893	+	1.98325i	0.534311	+	0.194473i
$105$	1.68498	+	8.80538i	0.164437	+	0.859317i
$106$	3.52752	−	6.10985i	0.342623	−	0.593441i
$107$	18.1010	+	4.85015i	1.74989	+	0.468882i	0.984603	−	0.174806i	$-0.0559297\pi$
$107$	18.1010	+	4.85015i	1.74989	+	0.468882i	0.765288	+	0.643688i	$0.222596\pi$
$108$	−4.94069	−	1.60922i	−0.475418	−	0.154847i
$109$	2.25897	−	2.69213i	0.216370	−	0.257859i	−0.646932	−	0.762548i	$-0.723948\pi$
$109$	2.25897	−	2.69213i	0.216370	−	0.257859i	0.863302	+	0.504688i	$0.168393\pi$
$110$	−11.3972	−	1.97274i	−1.08668	−	0.188093i
$111$	9.64051	−	4.62995i	0.915037	−	0.439455i
$112$	2.09791	+	0.978273i	0.198234	+	0.0924381i
$113$	5.50212	+	5.50212i	0.517596	+	0.517596i	0.916843	−	0.399248i	$-0.130729\pi$
$113$	5.50212	+	5.50212i	0.517596	+	0.517596i	−0.399248	+	0.916843i	$0.630729\pi$
$114$	5.05774	+	5.60529i	0.473700	+	0.524984i
$115$	4.19020	+	4.96196i	0.390738	+	0.462705i
$116$	1.22720	+	3.37172i	0.113943	+	0.313056i
$117$	−4.88424	−	16.6961i	−0.451548	−	1.54356i
$118$	0.306632	−	3.50482i	0.0282278	−	0.322645i
$119$	7.26360	+	6.09489i	0.665854	+	0.558717i
$120$	−2.93037	+	2.53238i	−0.267505	+	0.231173i
$121$	7.87869	+	13.6463i	0.716244	+	1.24057i
$122$	−1.65881	−	6.19075i	−0.150181	−	0.560484i
$123$	4.83129	−	8.59276i	0.435623	−	0.774783i
$124$	−1.41586	+	3.89003i	−0.127148	+	0.349335i
$125$	−7.83086	+	7.97983i	−0.700413	+	0.713737i
$126$	−1.36145	−	6.80961i	−0.121288	−	0.606648i
$127$	3.58920	−	5.12591i	0.318490	−	0.454851i	−0.627703	−	0.778453i	$-0.716005\pi$
$127$	3.58920	−	5.12591i	0.318490	−	0.454851i	0.946193	+	0.323602i	$0.104894\pi$
$128$	0.0871557	+	0.996195i	0.00770355	+	0.0880520i
$129$	−4.65909	+	18.2160i	−0.410210	+	1.60383i
$130$	−12.5348	−	3.31653i	−1.09937	−	0.290879i
$131$	−6.73041	−	18.4916i	−0.588038	−	1.61562i	−0.774086	−	0.633081i	$-0.781790\pi$
$131$	−6.73041	−	18.4916i	−0.588038	−	1.61562i	0.186047	−	0.982541i	$-0.440432\pi$
$132$	8.84052	+	1.45513i	0.769468	+	0.126652i
$133$	−3.21706	+	9.56334i	−0.278954	+	0.829247i
$134$	−12.1505			−1.04965
$135$	11.3275	+	2.58619i	0.974914	+	0.222584i
$136$	−0.711306	+	4.03402i	−0.0609940	+	0.345914i
$137$	0.283838	−	3.24428i	0.0242499	−	0.277177i	−0.974383	−	0.224897i	$-0.927795\pi$
$137$	0.283838	−	3.24428i	0.0242499	−	0.277177i	0.998632	−	0.0522805i	$-0.0166490\pi$
$138$	−3.27735	−	3.81658i	−0.278986	−	0.324889i
$139$	0.515750	−	0.0909406i	0.0437453	−	0.00771348i	−0.151733	−	0.988422i	$-0.548485\pi$
$139$	0.515750	−	0.0909406i	0.0437453	−	0.00771348i	0.195478	+	0.980708i	$0.437374\pi$
$140$	−4.86941	−	1.75502i	−0.411541	−	0.148327i
$141$	0.0940394	+	0.950025i	0.00791954	+	0.0800065i
$142$	−3.04202	−	6.52364i	−0.255281	−	0.547452i
$143$	12.6764	+	27.1846i	1.06005	+	2.27329i
$144$	2.25358	−	1.98025i	0.187798	−	0.165021i
$145$	−3.41359	−	7.26085i	−0.283483	−	0.602980i
$146$	−9.53211	+	1.68077i	−0.788883	+	0.139101i
$147$	−2.15733	+	1.85253i	−0.177934	+	0.152794i
$148$	−0.538149	+	6.15107i	−0.0442356	+	0.505615i
$149$	0.700477	−	3.97260i	0.0573853	−	0.325448i	−0.942578	−	0.333985i	$-0.891606\pi$
$149$	0.700477	−	3.97260i	0.0573853	−	0.325448i	0.999964	+	0.00853717i	$0.00271750\pi$
$150$	6.01451	−	6.23103i	0.491083	−	0.508761i
$151$	5.20148			0.423290			0.211645	−	0.977347i	$-0.432118\pi$
$151$	5.20148			0.423290			0.211645	+	0.977347i	$0.432118\pi$
$152$	−4.27279	+	0.862114i	−0.346569	+	0.0699267i
$153$	11.0161	−	5.44597i	0.890600	−	0.440281i
$154$	4.09530	+	11.2517i	0.330008	+	0.906690i
$155$	2.36770	−	8.94869i	0.190178	−	0.718776i
$156$	9.73029	+	2.48871i	0.779047	+	0.199256i
$157$	−0.172128	−	1.96743i	−0.0137373	−	0.157018i	0.986228	−	0.165394i	$-0.0528895\pi$
$157$	−0.172128	−	1.96743i	−0.0137373	−	0.157018i	−0.999965	+	0.00837553i	$0.997334\pi$
$158$	−0.494212	+	0.705808i	−0.0393174	+	0.0561510i
$159$	5.03770	−	11.1329i	0.399516	−	0.882900i
$160$	−0.395203	−	2.20087i	−0.0312435	−	0.173994i
$161$	2.29946	−	6.31771i	0.181223	−	0.497906i
$162$	−8.79047	−	1.93073i	−0.690644	−	0.151692i
$163$	−3.21309	−	11.9914i	−0.251669	−	0.939240i	−0.969914	−	0.243449i	$-0.921721\pi$
$163$	−3.21309	−	11.9914i	−0.251669	−	0.939240i	0.718245	−	0.695790i	$-0.244946\pi$
$164$	2.84571	+	4.92892i	0.222213	+	0.384884i
$165$	−19.9810	−	1.45574i	−1.55552	−	0.113329i
$166$	13.2100	+	11.0845i	1.02530	+	0.860327i
$167$	−0.00634494	+	0.0725230i	−0.000490986	+	0.00561200i	−0.996436	−	0.0843494i	$-0.973119\pi$
$167$	−0.00634494	+	0.0725230i	−0.000490986	+	0.00561200i	0.995945	+	0.0899614i	$0.0286744\pi$
$168$	3.78293	+	1.32824i	0.291859	+	0.102476i
$169$	7.05385	+	19.3803i	0.542604	+	1.49079i
$170$	0.769642	−	9.12710i	0.0590289	−	0.700017i
$171$	9.67400	+	8.79851i	0.739789	+	0.672839i
$172$	−7.67604	−	7.67604i	−0.585293	−	0.585293i
$173$	−11.6062	−	5.41205i	−0.882401	−	0.411470i	−0.0720401	−	0.997402i	$-0.522951\pi$
$173$	−11.6062	−	5.41205i	−0.882401	−	0.411470i	−0.810361	+	0.585932i	$0.800729\pi$
$174$	2.69051	+	5.60220i	0.203967	+	0.424702i
$175$	11.1982	+	2.92528i	0.846503	+	0.221131i
$176$	−3.32498	+	3.96256i	−0.250630	+	0.298689i
$177$	−0.0694568	−	6.09332i	−0.00522069	−	0.458002i
$178$	6.71378	+	1.79895i	0.503219	+	0.134837i
$179$	6.93997	−	12.0204i	0.518717	−	0.898445i	−0.481046	−	0.876695i	$-0.659743\pi$
$179$	6.93997	−	12.0204i	0.518717	−	0.898445i	0.999763	−	0.0217495i	$-0.00692364\pi$
$180$	−4.61880	+	4.86484i	−0.344265	+	0.362604i
$181$	22.2735	+	8.10689i	1.65558	+	0.602580i	0.989658	−	0.143445i	$-0.0458179\pi$
$181$	22.2735	+	8.10689i	1.65558	+	0.602580i	0.665918	+	0.746025i	$0.268040\pi$
$182$	3.47403	+	12.9652i	0.257512	+	0.961048i
$183$	−3.91540	−	10.3875i	−0.289435	−	0.767868i
$184$	2.86031	−	0.504351i	0.210865	−	0.0371812i
$185$	−0.0433605	−	13.8067i	−0.00318793	−	1.01509i
$186$	−1.77671	+	6.94654i	−0.130275	+	0.509345i
$187$	−17.3569	+	12.1534i	−1.26926	+	0.888748i
$188$	−0.499537	−	0.232938i	−0.0364324	−	0.0169887i
$189$	−3.50846	−	11.5049i	−0.255203	−	0.836861i
$190$	9.34119	−	2.78247i	0.677681	−	0.201861i
$191$		−	5.89868i		−	0.426813i	−0.976963	−	0.213407i	$-0.931544\pi$
$191$		−	5.89868i		−	0.426813i	0.976963	−	0.213407i	$-0.0684560\pi$
$192$	0.320190	+	1.70220i	0.0231077	+	0.122846i
$193$	−2.95088	−	4.21429i	−0.212409	−	0.303351i	0.698783	−	0.715334i	$-0.253725\pi$
$193$	−2.95088	−	4.21429i	−0.212409	−	0.303351i	−0.911192	+	0.411982i	$0.864836\pi$
$194$	6.28982	−	5.27779i	0.451583	−	0.378923i
$195$	−22.1712	−	3.57783i	−1.58771	−	0.256214i
$196$	−0.285085	−	1.61680i	−0.0203632	−	0.115486i
$197$	13.7096	+	3.67348i	0.976769	+	0.261724i	0.711683	−	0.702500i	$-0.247933\pi$
$197$	13.7096	+	3.67348i	0.976769	+	0.261724i	0.265086	+	0.964225i	$0.414600\pi$
$198$	15.4860	+	0.999766i	1.10054	+	0.0710502i
$199$	7.74313	−	21.2741i	0.548896	−	1.50808i	−0.286307	−	0.958138i	$-0.592428\pi$
$199$	7.74313	−	21.2741i	0.548896	−	1.50808i	0.835203	−	0.549941i	$-0.185350\pi$
$200$	1.32440	+	4.82141i	0.0936496	+	0.340925i
$201$	−20.9430	+	2.07307i	−1.47720	+	0.146223i
$202$	−0.794169	+	2.96388i	−0.0558775	+	0.208538i
$203$	−4.76396	+	6.80364i	−0.334365	+	0.477522i
$204$	−0.537761	+	7.07450i	−0.0376508	+	0.495314i
$205$	−7.33227	−	10.4019i	−0.512108	−	0.726499i
$206$	6.24753	+	1.10161i	0.435286	+	0.0767527i
$207$	−6.30009	−	6.01920i	−0.437887	−	0.418363i
$208$	−4.10025	+	4.10025i	−0.284301	+	0.284301i
$209$	−18.7819	−	12.4752i	−1.29917	−	0.862928i
$210$	−8.69249	−	2.19421i	−0.599839	−	0.151415i
$211$	−1.04348	+	0.379797i	−0.0718363	+	0.0261463i	−0.377688	−	0.925933i	$-0.623281\pi$
$211$	−1.04348	+	0.379797i	−0.0718363	+	0.0261463i	0.305852	+	0.952079i	$0.401059\pi$
$212$	4.04661	+	5.77915i	0.277922	+	0.396914i
$213$	−6.35634	−	10.7253i	−0.435530	−	0.734886i
$214$	−12.0456	+	14.3553i	−0.823417	+	0.981310i
$215$	18.6437	+	15.5444i	1.27149	+	1.06012i
$216$	3.54647	−	3.79770i	0.241307	−	0.258401i
$217$	−9.25600	+	2.48014i	−0.628338	+	0.168363i
$218$	1.48522	+	3.18506i	0.100592	+	0.215720i
$219$	−16.1430	+	4.52334i	−1.09085	+	0.305659i
$220$	6.60456	−	9.49561i	0.445279	−	0.640194i
$221$	−20.5704	+	11.8763i	−1.38371	+	0.798887i
$222$	0.121899	+	10.6940i	0.00818132	+	0.717732i
$223$	−20.7792	+	1.81795i	−1.39148	+	0.121739i	−0.758119	−	0.652117i	$-0.773881\pi$
$223$	−20.7792	+	1.81795i	−1.39148	+	0.121739i	−0.633362	+	0.773855i	$0.718326\pi$
$224$	−1.77323	+	1.48792i	−0.118479	+	0.0994158i
$225$	9.30366	−	11.7661i	0.620244	−	0.784409i
$226$	−7.31191	+	2.66132i	−0.486381	+	0.177028i
$227$	1.75161	−	1.75161i	0.116259	−	0.116259i	−0.646584	−	0.762843i	$-0.723803\pi$
$227$	1.75161	−	1.75161i	0.116259	−	0.116259i	0.762843	+	0.646584i	$0.223803\pi$
$228$	−7.21761	+	2.21497i	−0.477998	+	0.146690i
$229$		−	28.3541i		−	1.87369i	−0.349742	−	0.936846i	$-0.613731\pi$
$229$		−	28.3541i		−	1.87369i	0.349742	−	0.936846i	$-0.386269\pi$
$230$	−6.26792	+	1.70060i	−0.413294	+	0.112134i
$231$	8.97848	+	18.6951i	0.590741	+	1.23005i
$232$	−3.57445	−	0.312724i	−0.234674	−	0.0205313i
$233$	1.71266	+	19.5758i	0.112200	+	1.28245i	0.818486	+	0.574527i	$0.194814\pi$
$233$	1.71266	+	19.5758i	0.112200	+	1.28245i	−0.706286	+	0.707927i	$0.749631\pi$
$234$	17.1960	+	2.62947i	1.12414	+	0.171894i
$235$	1.15946	+	0.417891i	0.0756349	+	0.0272602i
$236$	3.04686	+	1.75910i	0.198334	+	0.114508i
$237$	−0.731415	+	1.30087i	−0.0475105	+	0.0845006i
$238$	−8.59358	+	4.00725i	−0.557039	+	0.259751i
$239$	−9.44652	+	16.3619i	−0.611045	+	1.05836i	0.380020	+	0.924978i	$0.375917\pi$
$239$	−9.44652	+	16.3619i	−0.611045	+	1.05836i	−0.991065	+	0.133382i	$0.957416\pi$
$240$	−1.05668	−	3.72605i	−0.0682087	−	0.240515i
$241$	−2.11022	−	11.9677i	−0.135932	−	0.770906i	−0.974207	−	0.225658i	$-0.927547\pi$
$241$	−2.11022	−	11.9677i	−0.135932	−	0.770906i	0.838275	−	0.545248i	$-0.183564\pi$
$242$	−15.6974	+	1.37335i	−1.00907	+	0.0882820i
$243$	−15.4809	−	1.82807i	−0.993100	−	0.117271i
$244$	6.31176	+	1.11293i	0.404069	+	0.0712483i
$245$	0.961268	+	3.54296i	0.0614132	+	0.226351i
$246$	5.74589	+	8.01009i	0.366345	+	0.510705i
$247$	−19.7554	−	15.7664i	−1.25701	−	1.00319i
$248$	−2.92720	−	2.92720i	−0.185877	−	0.185877i
$249$	24.6604	+	16.8518i	1.56279	+	1.06794i
$250$	−3.92271	−	10.4696i	−0.248094	−	0.662155i
$251$	7.18179	+	8.55893i	0.453311	+	0.540235i	0.943496	−	0.331383i	$-0.107515\pi$
$251$	7.18179	+	8.55893i	0.453311	+	0.540235i	−0.490185	+	0.871618i	$0.663071\pi$
$252$	6.74698	+	1.64397i	0.425020	+	0.103560i
$253$	12.3069	+	8.61738i	0.773728	+	0.541770i
$254$	3.12879	+	5.41923i	0.196318	+	0.340033i
$255$	−0.230647	−	15.8630i	−0.0144437	−	0.993381i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	0.596715	−	0.278253i	0.0372221	−	0.0173569i	−0.403918	−	0.914795i	$-0.632352\pi$
$257$	0.596715	−	0.278253i	0.0372221	−	0.0173569i	0.441140	+	0.897438i	$0.354574\pi$
$258$	−14.5403	−	11.9210i	−0.905239	−	0.742168i
$259$	−12.3780	+	7.14642i	−0.769129	+	0.444057i
$260$	8.30323	−	9.95876i	0.514945	−	0.617616i
$261$	5.59326	+	9.19706i	0.346214	+	0.569284i
$262$	19.6035	+	1.71508i	1.21111	+	0.105958i
$263$	18.3184	−	12.8267i	1.12956	−	0.790926i	0.149330	−	0.988787i	$-0.452288\pi$
$263$	18.3184	−	12.8267i	1.12956	−	0.790926i	0.980230	+	0.197861i	$0.0633996\pi$
$264$	−5.05495	+	7.39727i	−0.311111	+	0.455270i
$265$	−10.1782	−	12.0529i	−0.625244	−	0.740402i
$266$	−7.30774	−	6.95729i	−0.448066	−	0.426579i
$267$	11.8790	+	1.95525i	0.726981	+	0.119659i
$268$	5.13504	−	11.0121i	0.313672	−	0.672672i
$269$	3.24394	−	18.3973i	0.197786	−	1.12170i	−0.710608	−	0.703588i	$-0.751580\pi$
$269$	3.24394	−	18.3973i	0.197786	−	1.12170i	0.908395	−	0.418114i	$-0.137309\pi$
$270$	−7.13108	+	9.17321i	−0.433984	+	0.558264i
$271$	−14.9483	−	12.5431i	−0.908042	−	0.761938i	0.0637034	−	0.997969i	$-0.479709\pi$
$271$	−14.9483	−	12.5431i	−0.908042	−	0.761938i	−0.971746	+	0.236031i	$0.924153\pi$
$272$	−3.35545	−	2.34951i	−0.203454	−	0.142460i
$273$	8.20000	+	21.7545i	0.496287	+	1.31664i
$274$	2.82036	+	1.62834i	0.170384	+	0.0983713i
$275$	−12.7909	+	22.4795i	−0.771323	+	1.35556i
$276$	4.84407	−	1.35733i	0.291578	−	0.0817014i
$277$	−19.3101	+	5.17413i	−1.16023	+	0.310884i	−0.787059	−	0.616878i	$-0.788397\pi$
$277$	−19.3101	+	5.17413i	−1.16023	+	0.310884i	−0.373174	+	0.927761i	$0.621731\pi$
$278$	−0.135545	+	0.505861i	−0.00812945	+	0.0303395i
$279$	−1.87720	+	12.2764i	−0.112385	+	0.734967i
$280$	3.64849	−	3.67148i	0.218039	−	0.219413i
$281$	−4.93989	−	5.88714i	−0.294689	−	0.351197i	0.598302	−	0.801271i	$-0.295842\pi$
$281$	−4.93989	−	5.88714i	−0.294689	−	0.351197i	−0.892992	+	0.450073i	$0.851398\pi$
$282$	−0.900758	−	0.316269i	−0.0536393	−	0.0188336i
$283$	−6.69696	+	14.3617i	−0.398093	+	0.853713i	0.600446	+	0.799666i	$0.294990\pi$
$283$	−6.69696	+	14.3617i	−0.398093	+	0.853713i	−0.998538	+	0.0540471i	$0.982788\pi$
$284$	7.19804			0.427125
$285$	15.6260	−	6.38969i	0.925604	−	0.378492i
$286$	−29.9949			−1.77363
$287$	−5.56777	+	11.9401i	−0.328655	+	0.704803i
$288$	0.842309	+	2.87933i	0.0496336	+	0.169666i
$289$	0.141889	+	0.169096i	0.00834639	+	0.00994684i
$290$	8.02321	−	0.0251972i	0.471139	−	0.00147963i
$291$	9.94083	−	10.1701i	0.582742	−	0.596180i
$292$	2.50515	−	9.34935i	0.146603	−	0.547129i
$293$	−2.51097	+	0.672813i	−0.146693	+	0.0393062i	−0.331418	−	0.943484i	$-0.607527\pi$
$293$	−2.51097	+	0.672813i	−0.146693	+	0.0393062i	0.184725	+	0.982790i	$0.440860\pi$
$294$	−0.767232	−	2.73812i	−0.0447459	−	0.159690i
$295$	−7.14029	−	3.30231i	−0.415724	−	0.192268i
$296$	−5.34733	−	3.08728i	−0.310807	−	0.179445i
$297$	26.8627	−	0.918930i	1.55873	−	0.0533217i
$298$	3.30437	+	2.31374i	0.191417	+	0.134031i
$299$	12.9015	+	10.8257i	0.746115	+	0.626065i
$300$	3.10539	+	8.08434i	0.179290	+	0.466750i
$301$	4.36349	−	24.7466i	0.251508	−	1.42637i
$302$	−2.19824	+	4.71414i	−0.126495	+	0.271268i
$303$	−0.863168	+	5.24412i	−0.0495877	+	0.301267i
$304$	1.02442	−	4.23681i	0.0587545	−	0.242998i
$305$	−14.2806	−	1.20421i	−0.817703	−	0.0689528i
$306$	0.280119	+	12.2856i	0.0160133	+	0.702318i
$307$	18.9477	−	13.2673i	1.08140	−	0.757207i	0.109832	−	0.993950i	$-0.464969\pi$
$307$	18.9477	−	13.2673i	1.08140	−	0.757207i	0.971572	+	0.236743i	$0.0760799\pi$
$308$	−11.9283	−	1.04359i	−0.679677	−	0.0594640i
$309$	10.9564	+	0.832837i	0.623286	+	0.0473785i
$310$	7.10964	+	5.92774i	0.403800	+	0.336673i
$311$	20.4202	−	11.7896i	1.15792	−	0.668527i	0.207117	−	0.978316i	$-0.433592\pi$
$311$	20.4202	−	11.7896i	1.15792	−	0.668527i	0.950805	+	0.309789i	$0.100259\pi$
$312$	−6.36774	+	7.76687i	−0.360502	+	0.439712i
$313$	−13.9753	+	6.51677i	−0.789929	+	0.368350i	−0.775340	−	0.631544i	$-0.782422\pi$
$313$	−13.9753	+	6.51677i	−0.789929	+	0.368350i	−0.0145884	+	0.999894i	$0.504644\pi$
$314$	1.85584	+	0.675472i	0.104731	+	0.0381191i
$315$	−15.3570	−	2.29893i	−0.865267	−	0.129530i
$316$	−0.430816	−	0.746195i	−0.0242353	−	0.0419768i
$317$	15.7726	+	11.0441i	0.885880	+	0.620300i	0.925430	−	0.378918i	$-0.123704\pi$
$317$	15.7726	+	11.0441i	0.885880	+	0.620300i	−0.0395505	+	0.999218i	$0.512593\pi$
$318$	7.96085	+	9.27069i	0.446423	+	0.519875i
$319$	−11.9304	−	14.2181i	−0.667973	−	0.796059i
$320$	2.16168	+	0.571951i	0.120842	+	0.0319730i
$321$	−18.3128	+	26.7984i	−1.02212	+	1.49574i
$322$	4.75400	+	4.75400i	0.264930	+	0.264930i
$323$	8.54511	−	15.6776i	0.475463	−	0.872325i
$324$	5.46485	−	7.15091i	0.303603	−	0.397273i
$325$	−16.4803	+	23.8538i	−0.914162	+	1.32317i
$326$	12.2258	+	2.15574i	0.677125	+	0.119395i
$327$	3.10338	+	5.23646i	0.171618	+	0.289577i
$328$	−5.66977	+	0.496040i	−0.313060	+	0.0273892i
$329$	−0.221551	−	1.25648i	−0.0122145	−	0.0692719i
$330$	9.76369	−	17.4937i	0.537474	−	0.962999i
$331$	−9.50400	+	16.4614i	−0.522387	+	0.904801i	0.477274	+	0.878755i	$0.341625\pi$
$331$	−9.50400	+	16.4614i	−0.522387	+	0.904801i	−0.999661	+	0.0260461i	$0.991708\pi$
$332$	−15.6288	+	7.28783i	−0.857742	+	0.399972i
$333$	2.03466	+	18.4116i	0.111499	+	1.00895i
$334$	−0.0630467	−	0.0364000i	−0.00344976	−	0.00199172i
$335$	−9.21226	+	25.5600i	−0.503320	+	1.39649i
$336$	−2.80253	+	2.86716i	−0.152891	+	0.156416i
$337$	1.21304	+	13.8651i	0.0660786	+	0.755282i	0.954881	+	0.296990i	$0.0959828\pi$
$337$	1.21304	+	13.8651i	0.0660786	+	0.755282i	−0.888802	+	0.458291i	$0.848462\pi$
$338$	−20.5456	−	1.79751i	−1.11753	−	0.0977715i
$339$	−12.1489	+	5.83464i	−0.659840	+	0.316894i
$340$	7.94670	+	4.55481i	0.430970	+	0.247019i
$341$		−	21.4136i		−	1.15961i
$342$	−12.0626	+	5.04921i	−0.652269	+	0.273030i
$343$	14.1448	−	14.1448i	0.763750	−	0.763750i
$344$	10.2009	−	3.71282i	0.549995	−	0.200182i
$345$	−10.5134	+	4.00060i	−0.566023	+	0.215385i
$346$	9.80996	−	8.23153i	0.527387	−	0.442530i
$347$	−18.5944	+	1.62680i	−0.998198	+	0.0873310i	−0.574528	−	0.818485i	$-0.694814\pi$
$347$	−18.5944	+	1.62680i	−0.998198	+	0.0873310i	−0.423671	+	0.905816i	$0.639259\pi$
$348$	−6.21438	+	0.0708367i	−0.333126	+	0.00379725i
$349$	−21.0223	+	12.1372i	−1.12530	+	0.649691i	−0.942748	−	0.333506i	$-0.891768\pi$
$349$	−21.0223	+	12.1372i	−1.12530	+	0.649691i	−0.182549	+	0.983197i	$0.558435\pi$
$350$	−7.38376	+	8.91272i	−0.394679	+	0.476405i
$351$	30.0881	+	1.59832i	1.60599	+	0.0853120i
$352$	−2.18610	−	4.68811i	−0.116520	−	0.249877i
$353$	30.3149	−	8.12284i	1.61350	−	0.432335i	0.664415	−	0.747364i	$-0.268681\pi$
$353$	30.3149	−	8.12284i	1.61350	−	0.432335i	0.949082	+	0.315028i	$0.102014\pi$
$354$	5.55178	+	2.51220i	0.295074	+	0.133522i
$355$	−16.0296	+	1.45315i	−0.850761	+	0.0771250i
$356$	−4.46777	+	5.32448i	−0.236791	+	0.282197i
$357$	−14.1284	+	8.37320i	−0.747755	+	0.443157i
$358$	7.96120	+	11.3698i	0.420763	+	0.600911i
$359$	−1.09951	+	0.400188i	−0.0580298	+	0.0211211i	−0.370872	−	0.928684i	$-0.620941\pi$
$359$	−1.09951	+	0.400188i	−0.0580298	+	0.0211211i	0.312842	+	0.949805i	$0.398719\pi$
$360$	−2.45705	−	6.24203i	−0.129498	−	0.328984i
$361$	18.8508	+	2.37652i	0.992147	+	0.125080i
$362$	−16.7605	+	16.7605i	−0.880914	+	0.880914i
$363$	−26.8222	+	5.04535i	−1.40780	+	0.264812i
$364$	−13.2187	−	2.33081i	−0.692848	−	0.122168i
$365$	−3.69135	+	21.3261i	−0.193214	+	1.11626i
$366$	11.0690	+	0.841400i	0.578586	+	0.0439807i
$367$	13.5723	−	19.3832i	0.708466	−	1.01179i	−0.290032	−	0.957017i	$-0.593666\pi$
$367$	13.5723	−	19.3832i	0.708466	−	1.01179i	0.998499	−	0.0547777i	$-0.0174450\pi$
$368$	−0.751724	+	2.80547i	−0.0391863	+	0.146245i
$369$	11.2704	+	12.8261i	0.586715	+	0.667699i
$370$	12.5314	+	5.79566i	0.651478	+	0.301302i
$371$	−5.58552	+	15.3461i	−0.289986	+	0.796729i
$372$	−5.54483	−	4.54598i	−0.287486	−	0.235698i
$373$	−25.2834	−	6.77467i	−1.30913	−	0.350779i	−0.464232	−	0.885714i	$-0.653670\pi$
$373$	−25.2834	−	6.77467i	−1.30913	−	0.350779i	−0.844894	+	0.534934i	$0.820336\pi$
$374$	−3.67941	−	20.8670i	−0.190258	−	1.07901i
$375$	−8.54757	−	17.3764i	−0.441395	−	0.897313i
$376$	0.422227	−	0.354290i	0.0217747	−	0.0182711i
$377$	−11.9339	−	17.0433i	−0.614626	−	0.877777i
$378$	11.9098	+	1.68245i	0.612572	+	0.0865359i
$379$			16.8668i			0.866388i	0.901301	+	0.433194i	$0.142614\pi$
$379$			16.8668i			0.866388i	−0.901301	+	0.433194i	$0.857386\pi$
$380$	−1.42599	+	9.64192i	−0.0731516	+	0.494620i
$381$	6.31747	+	8.80691i	0.323654	+	0.451191i
$382$	5.34602	+	2.49289i	0.273526	+	0.127547i
$383$	−0.172642	+	0.120885i	−0.00882160	+	0.00617695i	−0.577979	−	0.816052i	$-0.696158\pi$
$383$	−0.172642	+	0.120885i	−0.00882160	+	0.00617695i	0.569157	+	0.822229i	$0.307270\pi$
$384$	−1.67803	−	0.429189i	−0.0856318	−	0.0219020i
$385$	26.7742	−	0.0840855i	1.36454	−	0.00428540i
$386$	5.06654	−	0.893368i	0.257880	−	0.0454712i
$387$	−27.0959	−	18.0665i	−1.37736	−	0.918374i
$388$	2.12511	+	7.93100i	0.107886	+	0.402636i
$389$	6.20438	+	2.25821i	0.314574	+	0.114496i	0.494482	−	0.869188i	$-0.335358\pi$
$389$	6.20438	+	2.25821i	0.314574	+	0.114496i	−0.179908	+	0.983683i	$0.557580\pi$
$390$	12.6126	−	18.5818i	0.638662	−	0.940928i
$391$	−5.94865	+	10.3034i	−0.300836	+	0.521064i
$392$	1.58580	+	0.424914i	0.0800950	+	0.0214614i
$393$	34.0818	−	0.388493i	1.71920	−	0.0195969i
$394$	−9.12323	+	10.8726i	−0.459622	+	0.547756i
$395$	1.11004	+	1.57476i	0.0558523	+	0.0792346i
$396$	−7.45077	+	13.6126i	−0.374415	+	0.684058i
$397$	21.7551	+	10.1446i	1.09186	+	0.509141i	0.883271	−	0.468863i	$-0.155336\pi$
$397$	21.7551	+	10.1446i	1.09186	+	0.509141i	0.208586	+	0.978004i	$0.433114\pi$
$398$	16.0085	+	16.0085i	0.802432	+	0.802432i
$399$	−13.7828	−	10.7450i	−0.690005	−	0.537921i
$400$	−4.92940	−	0.837296i	−0.246470	−	0.0418648i
$401$	−10.6844	−	29.3553i	−0.533556	−	1.46593i	−0.854811	−	0.518940i	$-0.826327\pi$
$401$	−10.6844	−	29.3553i	−0.533556	−	1.46593i	0.321255	−	0.946993i	$-0.395895\pi$
$402$	6.97205	−	19.8569i	0.347734	−	0.990373i
$403$	2.09213	−	23.9132i	0.104216	−	1.19120i
$404$	−2.35056	−	1.97235i	−0.116945	−	0.0981281i
$405$	−10.7262	+	17.0279i	−0.532991	+	0.846121i
$406$	−4.15286	−	7.19296i	−0.206103	−	0.356981i
$407$	−8.26655	−	30.8512i	−0.409758	−	1.52924i
$408$	−6.18441	−	3.47719i	−0.306174	−	0.172147i
$409$	2.27562	−	6.25221i	0.112522	−	0.309152i	−0.870631	−	0.491937i	$-0.836289\pi$
$409$	2.27562	−	6.25221i	0.112522	−	0.309152i	0.983153	+	0.182785i	$0.0585113\pi$
$410$	12.5261	−	2.24927i	0.618618	−	0.111083i
$411$	5.13907	+	2.32545i	0.253491	+	0.114706i
$412$	−3.63872	+	5.19663i	−0.179267	+	0.256019i
$413$	0.709789	+	8.11293i	0.0349265	+	0.399211i
$414$	8.11778	−	3.16600i	0.398967	−	0.155600i
$415$	33.3331	−	19.3847i	1.63626	−	0.951557i
$416$	−1.98325	−	5.44893i	−0.0972367	−	0.267156i
$417$	−0.147321	+	0.895042i	−0.00721436	+	0.0438304i
$418$	19.2439	−	11.7499i	0.941252	−	0.574708i
$419$	−23.2872			−1.13766			−0.568828	−	0.822457i	$-0.692603\pi$
$419$	−23.2872			−1.13766			−0.568828	+	0.822457i	$0.692603\pi$
$420$	5.66223	−	6.95076i	0.276289	−	0.339162i
$421$	−1.03138	+	5.84926i	−0.0502665	+	0.285075i	−0.999571	−	0.0292820i	$-0.990678\pi$
$421$	−1.03138	+	5.84926i	−0.0502665	+	0.285075i	0.949305	+	0.314357i	$0.101789\pi$
$422$	0.0967822	−	1.10623i	0.00471128	−	0.0538502i
$423$	−1.60653	−	0.391447i	−0.0781122	−	0.0190328i
$424$	−6.94786	+	1.22510i	−0.337418	+	0.0594959i
$425$	−18.6163	−	8.53899i	−0.903024	−	0.414202i
$426$	12.4067	−	1.22810i	0.601108	−	0.0595014i
$427$	6.26988	+	13.4458i	0.303421	+	0.650688i
$428$	−7.91968	−	16.9838i	−0.382812	−	0.820943i
$429$	−51.7000	+	5.11759i	−2.49610	+	0.247079i
$430$	−21.9672	+	10.3276i	−1.05935	+	0.498040i
$431$	0.952481	−	0.167948i	0.0458794	−	0.00808978i	−0.150661	−	0.988585i	$-0.548140\pi$
$431$	0.952481	−	0.167948i	0.0458794	−	0.00808978i	0.196541	+	0.980496i	$0.437029\pi$
$432$	1.94308	+	4.81917i	0.0934867	+	0.231863i
$433$	−0.895747	+	10.2384i	−0.0430469	+	0.492028i	0.943816	+	0.330470i	$0.107207\pi$
$433$	−0.895747	+	10.2384i	−0.0430469	+	0.492028i	−0.986863	+	0.161558i	$0.948348\pi$
$434$	1.66399	−	9.43693i	0.0798739	−	0.452987i
$435$	13.8247	−	1.41231i	0.662844	−	0.0677152i
$436$	−3.51433			−0.168306
$437$	−12.5181	−	1.89154i	−0.598820	−	0.0904848i
$438$	2.72280	−	16.5422i	0.130101	−	0.790417i
$439$	−11.6084	−	31.8939i	−0.554041	−	1.52222i	−0.828144	−	0.560515i	$-0.810603\pi$
$439$	−11.6084	−	31.8939i	−0.554041	−	1.52222i	0.274103	−	0.961700i	$-0.411619\pi$
$440$	5.81474	+	9.99878i	0.277207	+	0.476673i
$441$	−1.78959	−	4.58860i	−0.0852184	−	0.218505i
$442$	−2.07018	−	23.6622i	−0.0984683	−	1.12550i
$443$	16.3882	−	23.4048i	0.778627	−	1.11199i	−0.212249	−	0.977216i	$-0.568079\pi$
$443$	16.3882	−	23.4048i	0.778627	−	1.11199i	0.990876	−	0.134779i	$-0.0430323\pi$
$444$	−9.74355	−	4.40899i	−0.462408	−	0.209241i
$445$	8.87452	−	12.7592i	0.420693	−	0.604845i
$446$	7.13407	−	19.6007i	0.337808	−	0.928119i
$447$	6.09025	+	3.42425i	0.288059	+	0.161962i
$448$	−0.599112	−	2.23592i	−0.0283054	−	0.105637i
$449$	6.97536	+	12.0817i	0.329188	+	0.570170i	0.982351	−	0.187047i	$-0.0598917\pi$
$449$	6.97536	+	12.0817i	0.329188	+	0.570170i	−0.653163	+	0.757217i	$0.726558\pi$
$450$	6.73184	+	13.4046i	0.317342	+	0.631897i
$451$	−22.5526	−	18.9239i	−1.06196	−	0.891091i
$452$	0.678173	−	7.75156i	0.0318986	−	0.364603i
$453$	−2.98464	+	8.50048i	−0.140231	+	0.399387i
$454$	0.847237	+	2.32777i	0.0397628	+	0.109247i
$455$	29.9077	+	2.52197i	1.40210	+	0.118232i
$456$	1.04285	−	7.47746i	0.0488361	−	0.350164i
$457$	19.8917	+	19.8917i	0.930497	+	0.930497i	0.997737	−	0.0672403i	$-0.0214194\pi$
$457$	19.8917	+	19.8917i	0.930497	+	0.930497i	−0.0672403	+	0.997737i	$0.521419\pi$
$458$	25.6975	+	11.9830i	1.20077	+	0.559927i
$459$	2.57892	+	21.1279i	0.120374	+	0.986167i
$460$	1.10767	−	6.39937i	0.0516454	−	0.298372i
$461$	2.98083	−	3.55241i	0.138831	−	0.165452i	−0.692149	−	0.721755i	$-0.743336\pi$
$461$	2.98083	−	3.55241i	0.138831	−	0.165452i	0.830980	+	0.556302i	$0.187780\pi$
$462$	−20.7380	+	0.236389i	−0.964817	+	0.0109978i
$463$	−7.83870	−	2.10037i	−0.364295	−	0.0976126i	0.0720280	−	0.997403i	$-0.477053\pi$
$463$	−7.83870	−	2.10037i	−0.364295	−	0.0976126i	−0.436323	+	0.899790i	$0.643720\pi$
$464$	1.79405	−	3.10739i	0.0832868	−	0.144257i
$465$	13.2657	+	9.00421i	0.615183	+	0.417560i
$466$	−18.4655	−	6.72089i	−0.855398	−	0.311339i
$467$	−0.187171	−	0.698530i	−0.00866122	−	0.0323241i	0.961460	−	0.274945i	$-0.0886596\pi$
$467$	−0.187171	−	0.698530i	−0.00866122	−	0.0323241i	−0.970121	+	0.242621i	$0.921993\pi$
$468$	−9.65046	+	14.4736i	−0.446092	+	0.669043i
$469$	27.6986	−	4.88402i	1.27900	−	0.225523i
$470$	−0.868747	+	0.874221i	−0.0400723	+	0.0403248i
$471$	3.31403	+	0.847627i	0.152702	+	0.0390566i
$472$	−2.88195	+	2.01796i	−0.132652	+	0.0928842i
$473$	50.8920	+	23.7313i	2.34002	+	1.09117i
$474$	−0.869879	−	1.21266i	−0.0399548	−	0.0556993i
$475$	1.22906	−	21.7598i	0.0563932	−	0.998409i
$476$		−	9.48196i		−	0.434605i
$477$	15.3033	+	14.6210i	0.700688	+	0.669448i
$478$	−10.8366	−	15.4763i	−0.495655	−	0.707868i
$479$	−4.54804	+	3.81626i	−0.207805	+	0.174369i	−0.740750	−	0.671781i	$-0.765530\pi$
$479$	−4.54804	+	3.81626i	−0.207805	+	0.174369i	0.532945	+	0.846150i	$0.321085\pi$
$480$	3.82352	+	0.617014i	0.174519	+	0.0281627i
$481$	−6.21730	−	35.2601i	−0.283485	−	1.60772i
$482$	11.7382	+	3.14525i	0.534661	+	0.143262i
$483$	9.00523	+	7.38302i	0.409752	+	0.335939i
$484$	5.38934	−	14.8071i	0.244970	−	0.673049i
$485$	−6.33359	−	17.2328i	−0.287594	−	0.782502i
$486$	8.19930	−	13.2579i	0.371928	−	0.601390i
$487$	−6.18452	+	23.0809i	−0.280247	+	1.04590i	0.671996	+	0.740555i	$0.265437\pi$
$487$	−6.18452	+	23.0809i	−0.280247	+	1.04590i	−0.952243	+	0.305342i	$0.901229\pi$
$488$	−3.67613	+	5.25005i	−0.166410	+	0.237659i
$489$	21.4406	+	1.62978i	0.969575	+	0.0737013i
$490$	−3.61726	−	0.626113i	−0.163411	−	0.0282849i
$491$	−14.1292	−	2.49136i	−0.637643	−	0.112434i	−0.154525	−	0.987989i	$-0.549385\pi$
$491$	−14.1292	−	2.49136i	−0.637643	−	0.112434i	−0.483118	+	0.875555i	$0.660496\pi$
$492$	−9.68793	+	1.82234i	−0.436766	+	0.0821573i
$493$	10.3929	−	10.3929i	0.468072	−	0.468072i
$494$	22.6382	−	11.2413i	1.01854	−	0.505771i
$495$	13.8443	−	31.8185i	0.622254	−	1.43014i
$496$	3.89003	−	1.41586i	0.174668	−	0.0635738i
$497$	9.55691	+	13.6487i	0.428686	+	0.612227i
$498$	−25.6948	+	15.2280i	−1.15141	+	0.682384i
$499$	2.50137	−	2.98101i	0.111977	−	0.133448i	−0.707145	−	0.707069i	$-0.750017\pi$
$499$	2.50137	−	2.98101i	0.111977	−	0.133448i	0.819121	+	0.573620i	$0.194462\pi$
$500$	11.1465	+	0.869453i	0.498486	+	0.0388831i
$501$	−0.114879	−	0.0519833i	−0.00513243	−	0.00232244i
$502$	−10.7922	+	2.89176i	−0.481679	+	0.129065i
$503$	−11.7008	−	25.0925i	−0.521714	−	1.11882i	−0.973917	−	0.226904i	$-0.927140\pi$
$503$	−11.7008	−	25.0925i	−0.521714	−	1.11882i	0.452203	−	0.891915i	$-0.350638\pi$
$504$	−4.34134	+	5.42007i	−0.193378	+	0.241429i
$505$	5.63272	+	3.91777i	0.250653	+	0.174338i
$506$	−13.0111	+	7.51197i	−0.578415	+	0.333948i
$507$	−35.7197	+	0.407163i	−1.58637	+	0.0180827i
$508$	−6.23377	+	0.545384i	−0.276579	+	0.0241975i
$509$	−2.86744	+	2.40606i	−0.127097	+	0.106647i	−0.704120	−	0.710081i	$-0.748659\pi$
$509$	−2.86744	+	2.40606i	−0.127097	+	0.106647i	0.577024	+	0.816727i	$0.304214\pi$
$510$	14.4743	+	6.49497i	0.640931	+	0.287602i
$511$	21.0540	−	7.66304i	0.931375	−	0.338993i
$512$	0.707107	−	0.707107i	0.0312500	−	0.0312500i
$513$	−19.9299	+	10.7610i	−0.879926	+	0.475110i
$514$			0.658402i			0.0290409i
$515$	7.05409	−	12.3071i	0.310840	−	0.542317i
$516$	16.9491	−	8.13995i	0.746141	−	0.358341i
$517$	2.84026	+	0.248490i	0.124914	+	0.0109286i
$518$	−1.24570	−	14.2384i	−0.0547330	−	0.625601i
$519$	15.5043	−	15.8618i	0.680562	−	0.696257i
$520$	5.51660	+	11.7340i	0.241919	+	0.514571i
$521$	−18.4177	−	10.6335i	−0.806896	−	0.465862i	0.0389809	−	0.999240i	$-0.487589\pi$
$521$	−18.4177	−	10.6335i	−0.806896	−	0.465862i	−0.845877	+	0.533378i	$0.820922\pi$
$522$	−10.6992	+	1.18236i	−0.468290	+	0.0517507i
$523$	−21.7311	+	10.1334i	−0.950236	+	0.443102i	−0.835009	−	0.550237i	$-0.814537\pi$
$523$	−21.7311	+	10.1334i	−0.950236	+	0.443102i	−0.115227	+	0.993339i	$0.536760\pi$
$524$	−9.83919	+	17.0420i	−0.429827	+	0.744483i
$525$	−11.2062	+	16.6220i	−0.489079	+	0.725443i
$526$	3.88323	+	22.0229i	0.169317	+	0.960243i
$527$	16.8927	−	1.47792i	0.735856	−	0.0643791i
$528$	−4.56788	−	7.70756i	−0.198792	−	0.335429i
$529$	−14.3430	−	2.52905i	−0.623607	−	0.109959i
$530$	15.2251	−	4.13085i	0.661337	−	0.179433i
$531$	9.99781	+	3.38288i	0.433868	+	0.146804i
$532$	9.39383	−	3.68278i	0.407274	−	0.159669i
$533$	−23.3363	−	23.3363i	−1.01081	−	1.01081i
$534$	−6.79233	+	9.93968i	−0.293933	+	0.430132i
$535$	21.0653	+	36.2230i	0.910733	+	1.56606i
$536$	7.81021	+	9.30785i	0.337350	+	0.402038i
$537$	15.6620	+	18.2389i	0.675865	+	0.787069i
$538$	15.3026	+	10.7150i	0.659744	+	0.461958i
$539$	4.24616	+	7.35457i	0.182895	+	0.316784i
$540$	−5.30002	−	10.3397i	−0.228077	−	0.444951i
$541$	16.2609	+	5.91850i	0.699112	+	0.254456i	0.667032	−	0.745029i	$-0.267565\pi$
$541$	16.2609	+	5.91850i	0.699112	+	0.254456i	0.0320804	+	0.999485i	$0.489787\pi$
$542$	17.6853	−	8.24679i	0.759649	−	0.354230i
$543$	−26.0293	+	31.7485i	−1.11702	+	1.36246i
$544$	3.54746	−	2.04812i	0.152096	−	0.0878126i
$545$	7.82618	−	0.709476i	0.335237	−	0.0303906i
$546$	−23.1818	−	1.76214i	−0.992088	−	0.0754126i
$547$	21.6612	+	1.89511i	0.926165	+	0.0810289i	0.540249	−	0.841505i	$-0.318330\pi$
$547$	21.6612	+	1.89511i	0.926165	+	0.0810289i	0.385916	+	0.922534i	$0.373886\pi$
$548$	−2.66771	+	1.86795i	−0.113959	+	0.0797949i
$549$	19.2224	−	0.438283i	0.820392	−	0.0187055i
$550$	−14.9676	−	21.0928i	−0.638222	−	0.899398i
$551$	14.3329	+	6.25970i	0.610601	+	0.266672i
$552$	−0.817036	+	4.96385i	−0.0347753	+	0.211275i
$553$	0.842912	−	1.80763i	0.0358442	−	0.0768682i
$554$	3.47146	−	19.6876i	0.147488	−	0.836446i
$555$	22.5883	+	7.85150i	0.958822	+	0.333278i
$556$	−0.401182	−	0.336632i	−0.0170139	−	0.0142764i
$557$	6.07927	+	4.25675i	0.257587	+	0.180364i	0.695236	−	0.718782i	$-0.255300\pi$
$557$	6.07927	+	4.25675i	0.257587	+	0.180364i	−0.437649	+	0.899146i	$0.644189\pi$
$558$	−10.3328	−	6.88954i	−0.437424	−	0.291657i
$559$	54.5140	+	31.4737i	2.30570	+	1.33120i
$560$	1.78557	+	4.85829i	0.0754542	+	0.205300i
$561$	−9.90216	−	35.3391i	−0.418070	−	1.49202i
$562$	7.42325	−	1.98905i	0.313131	−	0.0839031i
$563$	−9.17460	+	34.2401i	−0.386663	+	1.44305i	0.448865	+	0.893600i	$0.351828\pi$
$563$	−9.17460	+	34.2401i	−0.386663	+	1.44305i	−0.835528	+	0.549447i	$0.814838\pi$
$564$	0.667314	−	0.682702i	0.0280990	−	0.0287470i
$565$	0.0546427	+	17.3991i	0.00229884	+	0.731987i
$566$	−10.1858	−	12.1390i	−0.428143	−	0.510241i
$567$	20.8150	+	0.867929i	0.874149	+	0.0364496i
$568$	−3.04202	+	6.52364i	−0.127640	+	0.273726i
$569$	−13.2833			−0.556863			−0.278432	−	0.960456i	$-0.589815\pi$
$569$	−13.2833			−0.556863			−0.278432	+	0.960456i	$0.589815\pi$
$570$	−0.812810	+	16.8624i	−0.0340449	+	0.706287i
$571$	−16.2415			−0.679686			−0.339843	−	0.940482i	$-0.610374\pi$
$571$	−16.2415			−0.679686			−0.339843	+	0.940482i	$0.610374\pi$
$572$	12.6764	−	27.1846i	0.530026	−	1.13664i
$573$	9.63987	+	3.38470i	0.402711	+	0.141398i
$574$	−8.46838	−	10.0922i	−0.353463	−	0.421241i
$575$	−1.17480	+	14.4746i	−0.0489926	+	0.603633i
$576$	−2.96553	−	0.453464i	−0.123564	−	0.0188943i
$577$	−2.16816	+	8.09167i	−0.0902616	+	0.336861i	−0.996258	−	0.0864235i	$-0.972456\pi$
$577$	−2.16816	+	8.09167i	−0.0902616	+	0.336861i	0.905997	+	0.423284i	$0.139123\pi$
$578$	−0.213218	+	0.0571316i	−0.00886870	+	0.00237636i
$579$	8.58041	−	2.40426i	0.356590	−	0.0999178i
$580$	−3.36792	+	7.28214i	−0.139845	+	0.302375i
$581$	−34.5695	−	19.9587i	−1.43418	−	0.828026i
$582$	5.01604	+	13.3075i	0.207922	+	0.551614i
$583$	−29.8941	−	20.9321i	−1.23809	−	0.866919i
$584$	7.41466	+	6.22164i	0.306821	+	0.257453i
$585$	18.5690	−	34.1801i	0.767734	−	1.41317i
$586$	0.451407	−	2.56006i	0.0186475	−	0.105755i
$587$	−6.57581	+	14.1019i	−0.271413	+	0.582047i	−0.994018	−	0.109214i	$-0.965167\pi$
$587$	−6.57581	+	14.1019i	−0.271413	+	0.582047i	0.722605	+	0.691261i	$0.242944\pi$
$588$	2.80583	+	0.461831i	0.115710	+	0.0190456i
$589$	8.02527	+	16.1616i	0.330676	+	0.665928i
$590$	6.01053	−	5.07568i	0.247449	−	0.208963i
$591$	−13.8700	+	20.2969i	−0.570536	+	0.834905i
$592$	5.05791	−	3.54159i	0.207879	−	0.145558i
$593$	−45.9303	−	4.01838i	−1.88613	−	0.165015i	−0.914984	−	0.403490i	$-0.867797\pi$
$593$	−45.9303	−	4.01838i	−1.88613	−	0.165015i	−0.971149	+	0.238474i	$0.923353\pi$
$594$	−10.5198	+	24.7342i	−0.431634	+	1.01486i
$595$	1.91423	+	21.1157i	0.0784757	+	0.865660i
$596$	−3.49345	+	2.01694i	−0.143097	+	0.0826172i
$597$	30.3239	+	24.8613i	1.24108	+	1.01751i
$598$	−15.2638	+	7.11764i	−0.624184	+	0.291062i
$599$	19.3155	+	7.03025i	0.789208	+	0.287248i	0.705007	−	0.709201i	$-0.250944\pi$
$599$	19.3155	+	7.03025i	0.789208	+	0.287248i	0.0842012	+	0.996449i	$0.473166\pi$
$600$	−8.63929	−	0.602155i	−0.352698	−	0.0245829i
$601$	−14.2130	−	24.6176i	−0.579759	−	1.00417i	−0.995507	−	0.0946922i	$-0.969813\pi$
$601$	−14.2130	−	24.6176i	−0.579759	−	1.00417i	0.415747	−	0.909480i	$-0.363520\pi$
$602$	20.5839	+	14.4130i	0.838939	+	0.587431i
$603$	8.62932	−	35.4154i	0.351413	−	1.44223i
$604$	−3.34345	−	3.98456i	−0.136043	−	0.162130i
$605$	−9.01244	+	34.0624i	−0.366408	+	1.38484i
$606$	−4.38800	−	2.99856i	−0.178250	−	0.121808i
$607$	−15.9044	−	15.9044i	−0.645540	−	0.645540i	0.306372	−	0.951912i	$-0.400885\pi$
$607$	−15.9044	−	15.9044i	−0.645540	−	0.645540i	−0.951912	+	0.306372i	$0.900885\pi$
$608$	3.40692	+	2.71899i	0.138169	+	0.110270i
$609$	−8.38521	−	11.6894i	−0.339786	−	0.473680i
$610$	7.12662	−	12.4337i	0.288548	−	0.503425i
$611$	3.14752	+	0.554992i	0.127335	+	0.0224526i
$612$	−11.2529	−	4.93823i	−0.454871	−	0.199616i
$613$	16.1715	−	1.41482i	0.653161	−	0.0571442i	0.244241	−	0.969715i	$-0.421461\pi$
$613$	16.1715	−	1.41482i	0.653161	−	0.0571442i	0.408920	+	0.912570i	$0.365906\pi$
$614$	4.01664	+	22.7795i	0.162098	+	0.919306i
$615$	21.2065	−	6.01404i	0.855129	−	0.242509i
$616$	5.98692	−	10.3697i	0.241220	−	0.417805i
$617$	26.2585	−	12.2446i	1.05713	−	0.492947i	0.185262	−	0.982689i	$-0.440687\pi$
$617$	26.2585	−	12.2446i	1.05713	−	0.492947i	0.871868	+	0.489742i	$0.162909\pi$
$618$	−5.38517	+	9.57787i	−0.216623	+	0.385278i
$619$	−1.17648	−	0.679242i	−0.0472868	−	0.0273010i	0.476170	−	0.879353i	$-0.342025\pi$
$619$	−1.17648	−	0.679242i	−0.0472868	−	0.0273010i	−0.523457	+	0.852052i	$0.675358\pi$
$620$	−8.37702	+	3.93835i	−0.336429	+	0.158168i
$621$	13.4519	−	6.84201i	0.539805	−	0.274561i
$622$	2.05506	+	23.4895i	0.0824005	+	0.941842i
$623$	−16.0280	−	1.40227i	−0.642148	−	0.0561807i
$624$	−4.34805	−	9.05355i	−0.174061	−	0.362432i
$625$	−24.9980	+	0.314045i	−0.999921	+	0.0125618i
$626$		−	15.4200i		−	0.616307i
$627$	31.1647	−	23.5358i	1.24460	−	0.939929i
$628$	−1.39650	+	1.39650i	−0.0557264	+	0.0557264i
$629$	23.7672	−	8.65057i	0.947662	−	0.344921i
$630$	8.57367	−	12.9466i	0.341583	−	0.515804i
$631$	−13.7029	+	11.4981i	−0.545504	+	0.457732i	−0.873415	−	0.486976i	$-0.838100\pi$
$631$	−13.7029	+	11.4981i	−0.545504	+	0.457732i	0.327911	+	0.944709i	$0.393655\pi$
$632$	0.858353	−	0.0750962i	0.0341435	−	0.00298717i
$633$	−0.0219226	−	1.92323i	−0.000871346	−	0.0764416i
$634$	−16.6752	+	9.62742i	−0.662256	+	0.382354i
$635$	13.7721	−	2.47302i	0.546529	−	0.0981386i
$636$	−11.7665	+	3.29702i	−0.466572	+	0.130735i
$637$	4.02326	+	8.62791i	0.159407	+	0.341850i
$638$	17.9280	−	4.80378i	0.709774	−	0.190183i
$639$	21.1751	−	4.23356i	0.837672	−	0.167477i
$640$	−1.43193	+	1.71743i	−0.0566020	+	0.0678875i
$641$	3.85530	−	4.59457i	0.152275	−	0.181474i	−0.684514	−	0.729000i	$-0.739986\pi$
$641$	3.85530	−	4.59457i	0.152275	−	0.181474i	0.836789	+	0.547525i	$0.184430\pi$
$642$	−16.5483	−	27.9225i	−0.653108	−	1.10201i
$643$	−7.74680	−	11.0636i	−0.305504	−	0.436305i	0.636817	−	0.771015i	$-0.280251\pi$
$643$	−7.74680	−	11.0636i	−0.305504	−	0.436305i	−0.942321	+	0.334710i	$0.891362\pi$
$644$	−6.31771	+	2.29946i	−0.248953	+	0.0906114i
$645$	−36.1012	+	21.5488i	−1.42148	+	0.848485i
$646$	10.5974	+	14.3701i	0.416950	+	0.565385i
$647$	−19.3902	+	19.3902i	−0.762307	+	0.762307i	−0.976739	−	0.214432i	$-0.931210\pi$
$647$	−19.3902	+	19.3902i	−0.762307	+	0.762307i	0.214432	+	0.976739i	$0.431210\pi$
$648$	4.17138	+	7.97494i	0.163867	+	0.313285i
$649$	−17.9223	−	3.16019i	−0.703514	−	0.124048i
$650$	−14.6540	−	25.0172i	−0.574777	−	0.981257i
$651$	1.25801	−	16.5497i	0.0493051	−	0.648632i
$652$	−7.12062	+	10.1693i	−0.278865	+	0.398260i
$653$	11.4952	−	42.9006i	0.449841	−	1.67883i	−0.252987	−	0.967470i	$-0.581413\pi$
$653$	11.4952	−	42.9006i	0.449841	−	1.67883i	0.702828	−	0.711360i	$-0.251920\pi$
$654$	−6.05739	+	0.599598i	−0.236863	+	0.0234461i
$655$	18.4708	−	39.9378i	0.721714	−	1.56050i
$656$	1.94658	−	5.34819i	0.0760012	−	0.208812i
$657$	1.87074	−	28.9771i	0.0729846	−	1.13051i
$658$	1.23239	+	0.330217i	0.0480435	+	0.0128732i
$659$	−2.31019	−	13.1017i	−0.0899922	−	0.510371i	−0.996167	−	0.0874685i	$-0.972122\pi$
$659$	−2.31019	−	13.1017i	−0.0899922	−	0.510371i	0.906175	−	0.422903i	$-0.138989\pi$
$660$	11.7284	+	16.2421i	0.456527	+	0.632222i
$661$	20.0681	−	16.8391i	0.780557	−	0.654965i	−0.162832	−	0.986654i	$-0.552063\pi$
$661$	20.0681	−	16.8391i	0.780557	−	0.654965i	0.943389	+	0.331688i	$0.107618\pi$
$662$	−10.9025	−	15.5704i	−0.423739	−	0.605162i
$663$	−7.60536	−	40.4317i	−0.295368	−	1.57024i
$664$		−	17.2445i		−	0.669216i
$665$	−20.1760	+	10.0978i	−0.782391	+	0.391574i
$666$	−17.5465	−	5.93706i	−0.679912	−	0.230056i
$667$	−9.44503	−	4.40429i	−0.365713	−	0.170535i
$668$	0.0596343	−	0.0417564i	0.00230732	−	0.00161560i
$669$	8.95229	−	35.0015i	0.346116	−	1.35323i
$670$	−19.2719	−	19.1512i	−0.744539	−	0.739877i
$671$	−32.6492	+	5.75693i	−1.26041	+	0.222244i
$672$	−1.41413	−	3.75167i	−0.0545512	−	0.144724i
$673$	5.85979	+	21.8690i	0.225878	+	0.842989i	0.982051	+	0.188617i	$0.0604004\pi$
$673$	5.85979	+	21.8690i	0.225878	+	0.842989i	−0.756172	+	0.654372i	$0.772933\pi$
$674$	−13.0787	−	4.76027i	−0.503774	−	0.183359i
$675$	13.8902	+	21.9559i	0.534634	+	0.845084i
$676$	10.3120	−	17.8610i	0.396617	−	0.686961i
$677$	−23.1118	−	6.19280i	−0.888260	−	0.238009i	−0.214292	−	0.976770i	$-0.568745\pi$
$677$	−23.1118	−	6.19280i	−0.888260	−	0.238009i	−0.673968	+	0.738761i	$0.735411\pi$
$678$	−0.153617	−	13.4765i	−0.00589961	−	0.517562i
$679$	−12.2170	+	14.5596i	−0.468844	+	0.558747i
$680$	−7.48648	+	5.27721i	−0.287093	+	0.202372i
$681$	1.85747	+	3.86765i	0.0711786	+	0.148209i
$682$	19.4073	+	9.04977i	0.743144	+	0.346534i
$683$	5.43172	+	5.43172i	0.207839	+	0.207839i	0.803348	−	0.595509i	$-0.203050\pi$
$683$	5.43172	+	5.43172i	0.207839	+	0.207839i	−0.595509	+	0.803348i	$0.703050\pi$
$684$	0.521720	−	13.0663i	0.0199485	−	0.499602i
$685$	5.56371	−	4.69836i	0.212579	−	0.179515i
$686$	6.84171	+	18.7974i	0.261218	+	0.717690i
$687$	46.3375	+	16.2698i	1.76788	+	0.620730i
$688$	−0.946125	+	10.8143i	−0.0360707	+	0.412290i
$689$	−31.3386	−	26.2962i	−1.19390	−	1.00180i
$690$	0.817380	−	11.2191i	0.0311171	−	0.427104i
$691$	17.6543	+	30.5781i	0.671600	+	1.16325i	0.977450	+	0.211166i	$0.0677260\pi$
$691$	17.6543	+	30.5781i	0.671600	+	1.16325i	−0.305850	+	0.952080i	$0.598941\pi$
$692$	3.31443	+	12.3696i	0.125996	+	0.470223i
$693$	−35.7042	+	3.94566i	−1.35629	+	0.149883i
$694$	6.38394	−	17.5397i	0.242331	−	0.665800i
$695$	0.961366	+	0.668666i	0.0364667	+	0.0253640i
$696$	2.56211	−	5.66207i	0.0971165	−	0.214620i
$697$	13.3721	−	19.0973i	0.506503	−	0.723362i
$698$	−2.11566	−	24.1821i	−0.0800788	−	0.915305i
$699$	−32.9743	−	8.43382i	−1.24720	−	0.318996i
$700$	−4.95715	−	10.4586i	−0.187363	−	0.395299i
$701$	5.16687	+	14.1958i	0.195150	+	0.536170i	0.998215	−	0.0597213i	$-0.0190212\pi$
$701$	5.16687	+	14.1958i	0.195150	+	0.536170i	−0.803065	+	0.595891i	$0.796799\pi$
$702$	−14.1644	+	26.5936i	−0.534600	+	1.00371i
$703$	17.8013	+	20.1865i	0.671390	+	0.761347i
$704$	5.17275			0.194955
$705$	−1.34824	+	1.65505i	−0.0507777	+	0.0623329i
$706$	−5.44982	+	30.9075i	−0.205107	+	1.16322i
$707$	0.619048	−	7.07576i	0.0232817	−	0.266111i
$708$	−4.62311	+	3.96992i	−0.173747	+	0.149199i
$709$	−0.729072	+	0.128555i	−0.0273809	+	0.00482798i	−0.187322	−	0.982299i	$-0.559981\pi$
$709$	−0.729072	+	0.128555i	−0.0273809	+	0.00482798i	0.159941	+	0.987127i	$0.448870\pi$
$710$	5.45739	−	15.1419i	0.204812	−	0.568264i
$711$	−1.70624	−	1.94176i	−0.0639892	−	0.0728216i
$712$	−2.93746	−	6.29939i	−0.110086	−	0.236080i
$713$	−5.08134	−	10.8970i	−0.190298	−	0.408095i
$714$	−1.61777	−	16.3434i	−0.0605435	−	0.611635i
$715$	−22.7414	+	63.0975i	−0.850482	+	2.35971i
$716$	−13.6691	+	2.41022i	−0.510837	+	0.0900743i
$717$	−21.3187	−	24.8264i	−0.796163	−	0.927160i
$718$	0.101978	−	1.16562i	0.00380580	−	0.0435005i
$719$	0.826424	−	4.68688i	0.0308204	−	0.174791i	−0.965512	−	0.260359i	$-0.916159\pi$
$719$	0.826424	−	4.68688i	0.0308204	−	0.174791i	0.996332	+	0.0855674i	$0.0272703\pi$
$720$	6.69559	+	0.411151i	0.249530	+	0.0153227i
$721$	−14.6848			−0.546891
$722$	−10.1205	+	16.0803i	−0.376648	+	0.598445i
$723$	20.7689	+	3.41851i	0.772405	+	0.127136i
$724$	−8.10689	−	22.2735i	−0.301290	−	0.827788i
$725$	6.03001	−	16.8968i	0.223949	−	0.627531i
$726$	6.76289	−	26.4414i	0.250995	−	0.981332i
$727$	3.64133	+	41.6206i	0.135049	+	1.54362i	0.697376	+	0.716706i	$0.254351\pi$
$727$	3.64133	+	41.6206i	0.135049	+	1.54362i	−0.562326	+	0.826915i	$0.690094\pi$
$728$	7.69890	−	10.9952i	0.285340	−	0.407508i
$729$	11.8705	−	24.2506i	0.439650	−	0.898169i
$730$	−17.7680	−	12.3583i	−0.657624	−	0.457402i
$731$	−15.2086	+	41.7854i	−0.562512	+	1.54549i
$732$	−5.44053	+	9.67634i	−0.201088	+	0.357648i
$733$	7.45878	+	27.8366i	0.275496	+	1.02817i	0.955508	+	0.294965i	$0.0953081\pi$
$733$	7.45878	+	27.8366i	0.275496	+	1.02817i	−0.680011	+	0.733201i	$0.738025\pi$
$734$	11.8313	+	20.4923i	0.436700	+	0.756386i
$735$	−6.34163	−	0.462026i	−0.233915	−	0.0170421i
$736$	−2.22493	−	1.86694i	−0.0820120	−	0.0688162i
$737$	−5.47789	+	62.6125i	−0.201781	+	2.30636i
$738$	−16.3875	+	4.79394i	−0.603231	+	0.176467i
$739$	11.4877	+	31.5622i	0.422582	+	1.16103i	0.950224	+	0.311567i	$0.100854\pi$
$739$	11.4877	+	31.5622i	0.422582	+	1.16103i	−0.527642	+	0.849467i	$0.676924\pi$
$740$	−10.5487	+	8.90798i	−0.387777	+	0.327464i
$741$	37.1020	−	23.2383i	1.36297	−	0.853680i
$742$	−11.5477	−	11.5477i	−0.423930	−	0.423930i
$743$	−5.50639	−	2.56767i	−0.202010	−	0.0941987i	0.318981	−	0.947761i	$-0.396659\pi$
$743$	−5.50639	−	2.56767i	−0.202010	−	0.0941987i	−0.520990	+	0.853563i	$0.674437\pi$
$744$	6.46340	−	3.10411i	0.236960	−	0.113802i
$745$	7.37250	−	5.19686i	0.270108	−	0.190398i
$746$	16.8252	−	20.0515i	0.616013	−	0.734136i
$747$	−41.6902	+	30.6314i	−1.52536	+	1.12074i
$748$	20.4669	+	5.48409i	0.748344	+	0.200518i
$749$	21.6891	−	37.5666i	0.792502	−	1.37265i
$750$	19.3607	−	0.403147i	0.706954	−	0.0147209i
$751$	−14.0849	−	5.12648i	−0.513965	−	0.187068i	0.0719996	−	0.997405i	$-0.477062\pi$
$751$	−14.0849	−	5.12648i	−0.513965	−	0.187068i	−0.585964	+	0.810337i	$0.699284\pi$
$752$	0.142655	+	0.532397i	0.00520210	+	0.0194145i
$753$	−18.1083	+	6.82562i	−0.659904	+	0.248739i
$754$	20.4900	−	3.61294i	0.746202	−	0.131575i
$755$	8.25005	+	8.19839i	0.300250	+	0.298370i
$756$	−6.55810	+	10.0829i	−0.238516	+	0.366711i
$757$	9.45559	−	6.62087i	0.343669	−	0.240640i	−0.388980	−	0.921246i	$-0.627172\pi$
$757$	9.45559	−	6.62087i	0.343669	−	0.240640i	0.732649	+	0.680606i	$0.238284\pi$
$758$	−15.2865	−	7.12821i	−0.555230	−	0.258908i
$759$	−21.1447	+	15.1677i	−0.767503	+	0.550554i
$760$	−8.13590	−	5.36723i	−0.295120	−	0.194690i
$761$			46.5945i			1.68905i	0.535518	+	0.844524i	$0.320116\pi$
$761$			46.5945i			1.68905i	−0.535518	+	0.844524i	$0.679884\pi$
$762$	−10.6516	+	2.00362i	−0.385868	+	0.0725834i
$763$	−4.66601	−	6.66375i	−0.168921	−	0.241244i
$764$	−4.51865	+	3.79160i	−0.163479	+	0.137175i
$765$	26.0564	+	8.72537i	0.942070	+	0.315467i
$766$	−0.0365976	−	0.207555i	−0.00132233	−	0.00749928i
$767$	−19.7056	−	5.28011i	−0.711530	−	0.190654i
$768$	1.09815	−	1.33943i	0.0396259	−	0.0483326i
$769$	−0.628159	+	1.72585i	−0.0226520	+	0.0622359i	−0.950503	−	0.310715i	$-0.899432\pi$
$769$	−0.628159	+	1.72585i	−0.0226520	+	0.0622359i	0.927851	+	0.372950i	$0.121654\pi$
$770$	−11.2391	+	24.3012i	−0.405027	+	0.875754i
$771$	0.112334	+	1.13484i	0.00404559	+	0.0408703i
$772$	−1.33155	+	4.96940i	−0.0479234	+	0.178853i
$773$	24.1390	−	34.4741i	0.868221	−	1.23995i	−0.101279	−	0.994858i	$-0.532294\pi$
$773$	24.1390	−	34.4741i	0.868221	−	1.23995i	0.969500	−	0.245090i	$-0.0788176\pi$
$774$	27.8251	−	16.9220i	1.00015	−	0.608249i
$775$	17.8600	−	10.4616i	0.641551	−	0.375792i
$776$	−8.08604	−	1.42579i	−0.290272	−	0.0511828i
$777$	−4.57642	−	24.3292i	−0.164178	−	0.872807i
$778$	−4.66871	+	4.66871i	−0.167382	+	0.167382i
$779$	24.1135	+	5.83041i	0.863955	+	0.208896i
$780$	11.5106	+	19.2839i	0.412144	+	0.690474i
$781$	−34.9882	+	12.7347i	−1.25198	+	0.455682i
$782$	−6.82402	−	9.74571i	−0.244026	−	0.348506i
$783$	−18.2397	+	3.86340i	−0.651833	+	0.138067i
$784$	−1.05529	+	1.25765i	−0.0376890	+	0.0449160i
$785$	2.82799	−	3.39184i	0.100935	−	0.121060i
$786$	−14.0515	+	31.0527i	−0.501200	+	1.10761i
$787$	−50.5264	+	13.5385i	−1.80107	+	0.482596i	−0.994145	−	0.108054i	$-0.965538\pi$
$787$	−50.5264	+	13.5385i	−1.80107	+	0.482596i	−0.806928	+	0.590650i	$0.798871\pi$
$788$	−5.99832	−	12.8634i	−0.213681	−	0.458241i
$789$	10.4507	+	37.2967i	0.372054	+	1.32780i
$790$	−1.89634	+	0.340520i	−0.0674687	+	0.0121151i
$791$	15.5987	−	9.00589i	0.554624	−	0.320213i
$792$	−9.18836	−	12.5056i	−0.326494	−	0.444368i
$793$	−37.0228	+	3.23907i	−1.31472	+	0.115023i
$794$	−18.3882	+	15.4295i	−0.652573	+	0.547573i
$795$	25.5376	−	9.71768i	0.905727	−	0.344651i
$796$	−21.2741	+	7.74313i	−0.754040	+	0.274448i
$797$	−10.0388	+	10.0388i	−0.355592	+	0.355592i	−0.862185	−	0.506593i	$-0.830905\pi$
$797$	−10.0388	+	10.0388i	−0.355592	+	0.355592i	0.506593	+	0.862185i	$0.330905\pi$
$798$	15.5631	−	7.95048i	0.550928	−	0.281444i
$799$			2.25776i			0.0798738i
$800$	2.84210	−	4.11369i	0.100483	−	0.145441i
$801$	−10.0116	+	18.2912i	−0.353742	+	0.646287i
$802$	31.1204	+	2.72268i	1.09890	+	0.0961411i
$803$	4.36370	+	49.8774i	0.153992	+	1.76013i
$804$	15.0500	+	14.7107i	0.530771	+	0.518807i
$805$	13.6049	−	6.39618i	0.479511	−	0.225436i
$806$	20.7885	+	12.0023i	0.732244	+	0.422761i
$807$	28.2042	+	15.8578i	0.992835	+	0.558223i
$808$	2.78095	−	1.29678i	0.0978333	−	0.0456204i
$809$	−15.7178	+	27.2240i	−0.552608	+	0.957145i	0.445477	+	0.895293i	$0.353034\pi$
$809$	−15.7178	+	27.2240i	−0.552608	+	0.957145i	−0.998085	+	0.0618519i	$0.980299\pi$
$810$	−10.8994	−	16.9176i	−0.382965	−	0.594422i
$811$	−1.88407	−	10.6851i	−0.0661585	−	0.375203i	−0.999853	−	0.0171334i	$-0.994546\pi$
$811$	−1.88407	−	10.6851i	−0.0661585	−	0.375203i	0.933695	−	0.358070i	$-0.116565\pi$
$812$	8.27411	−	0.723891i	0.290364	−	0.0254036i
$813$	29.0758	−	17.2318i	1.01973	−	0.604345i
$814$	31.4543	+	5.54624i	1.10247	+	0.194396i
$815$	13.8042	−	24.0839i	0.483539	−	0.843622i
$816$	5.76505	−	4.13545i	0.201817	−	0.144770i
$817$	−47.3040	+	1.16213i	−1.65496	+	0.0406576i
$818$	4.70471	+	4.70471i	0.164496	+	0.164496i
$819$	−40.2574	+	0.917894i	−1.40671	+	0.0320738i
$820$	−3.25522	+	12.3031i	−0.113677	+	0.429641i
$821$	−14.2485	−	16.9807i	−0.497276	−	0.592631i	0.457776	−	0.889067i	$-0.348646\pi$
$821$	−14.2485	−	16.9807i	−0.497276	−	0.592631i	−0.955053	+	0.296437i	$0.904202\pi$
$822$	−4.27943	+	3.67480i	−0.149262	+	0.128173i
$823$	9.41142	+	6.58995i	0.328061	+	0.229711i	0.725990	−	0.687705i	$-0.241382\pi$
$823$	9.41142	+	6.58995i	0.328061	+	0.229711i	−0.397928	+	0.917416i	$0.630271\pi$
$824$	−3.17195	−	5.49399i	−0.110500	−	0.191392i
$825$	−29.3974	−	33.8023i	−1.02348	−	1.17685i
$826$	−7.65278	−	2.78538i	−0.266274	−	0.0969159i
$827$	−6.04486	+	2.81876i	−0.210200	+	0.0980180i	−0.524867	−	0.851184i	$-0.675885\pi$
$827$	−6.04486	+	2.81876i	−0.210200	+	0.0980180i	0.314667	+	0.949202i	$0.398107\pi$
$828$	−0.561357	+	8.69522i	−0.0195085	+	0.302180i
$829$	49.5743	−	28.6218i	1.72179	−	0.994075i	0.806545	−	0.591173i	$-0.201335\pi$
$829$	49.5743	−	28.6218i	1.72179	−	0.994075i	0.915243	−	0.402901i	$-0.131998\pi$
$830$	3.48133	+	38.4024i	0.120839	+	1.33297i
$831$	2.62449	−	34.5264i	0.0910425	−	1.19771i
$832$	5.77656	+	0.505384i	0.200266	+	0.0175210i
$833$	−5.50878	+	3.85729i	−0.190868	+	0.133647i
$834$	−0.748923	−	0.511780i	−0.0259331	−	0.0177215i
$835$	−0.124372	+	0.105028i	−0.00430407	+	0.00363464i
$836$	2.51621	+	22.4067i	0.0870248	+	0.774951i
$837$	−18.9854	−	10.1121i	−0.656232	−	0.349524i
$838$	9.84161	−	21.1054i	0.339973	−	0.729074i
$839$	−2.06023	+	11.6841i	−0.0711270	+	0.403381i	0.928370	+	0.371658i	$0.121211\pi$
$839$	−2.06023	+	11.6841i	−0.0711270	+	0.403381i	−0.999497	+	0.0317233i	$0.989900\pi$
$840$	3.90656	+	8.06924i	0.134789	+	0.278415i
$841$	−12.3529	−	10.3653i	−0.425960	−	0.357423i
$842$	−4.86535	−	3.40675i	−0.167671	−	0.117404i
$843$	12.4555	−	4.69491i	0.428992	−	0.161701i
$844$	0.961679	+	0.555226i	0.0331023	+	0.0191117i
$845$	−19.3585	+	41.8571i	−0.665952	+	1.43993i
$846$	1.03372	−	1.29058i	0.0355400	−	0.0443710i
$847$	35.2322	−	9.44043i	1.21059	−	0.324377i
$848$	1.82598	−	6.81465i	0.0627044	−	0.234016i
$849$	−19.6277	−	19.1853i	−0.673621	−	0.658437i
$850$	15.6065	−	13.2634i	0.535300	−	0.454930i
$851$	−11.5275	−	13.7380i	−0.395159	−	0.470932i
$852$	−4.13028	+	11.7633i	−0.141501	+	0.403005i
$853$	6.43800	−	13.8063i	0.220433	−	0.472720i	−0.764728	−	0.644353i	$-0.777127\pi$
$853$	6.43800	−	13.8063i	0.220433	−	0.472720i	0.985161	+	0.171633i	$0.0549044\pi$
$854$	−14.8358			−0.507671
$855$	1.47600	+	29.2031i	0.0504780	+	0.998725i
$856$	18.7396			0.640505
$857$	−13.6220	+	29.2125i	−0.465320	+	0.997881i	0.523946	+	0.851752i	$0.324459\pi$
$857$	−13.6220	+	29.2125i	−0.465320	+	0.997881i	−0.989265	+	0.146130i	$0.953318\pi$
$858$	17.2112	−	49.0189i	0.587582	−	1.67348i
$859$	−4.27250	−	5.09177i	−0.145776	−	0.173729i	0.688216	−	0.725506i	$-0.258394\pi$
$859$	−4.27250	−	5.09177i	−0.145776	−	0.173729i	−0.833992	+	0.551777i	$0.813950\pi$
$860$	−0.0762325	−	24.2737i	−0.00259951	−	0.827725i
$861$	−16.3182	−	15.9504i	−0.556123	−	0.543588i
$862$	−0.250323	+	0.934219i	−0.00852604	+	0.0318196i
$863$	−27.9611	+	7.49216i	−0.951807	+	0.255036i	−0.701129	−	0.713034i	$-0.747320\pi$
$863$	−27.9611	+	7.49216i	−0.951807	+	0.255036i	−0.250678	+	0.968070i	$0.580654\pi$
$864$	−5.18884	−	0.275638i	−0.176528	−	0.00937739i
$865$	−9.87823	−	26.8773i	−0.335870	−	0.913855i
$866$	−8.90062	−	5.13877i	−0.302455	−	0.174623i
$867$	−0.357761	+	0.134852i	−0.0121502	+	0.00457981i
$868$	7.84954	+	5.49630i	0.266431	+	0.186557i
$869$	3.41427	+	2.86491i	0.115821	+	0.0971854i
$870$	−4.56259	+	13.1263i	−0.154686	+	0.445024i
$871$	−12.2346	+	69.3860i	−0.414555	+	2.35106i
$872$	1.48522	−	3.18506i	0.0502959	−	0.107860i
$873$	10.9162	+	22.0814i	0.369459	+	0.747341i
$874$	7.00468	−	10.5458i	0.236937	−	0.356717i
$875$	13.1507	+	22.2900i	0.444574	+	0.753538i
$876$	13.8416	+	9.45873i	0.467665	+	0.319581i
$877$	−30.6792	+	21.4818i	−1.03596	+	0.725389i	−0.962326	−	0.271897i	$-0.912349\pi$
$877$	−30.6792	+	21.4818i	−1.03596	+	0.725389i	−0.0736359	+	0.997285i	$0.523460\pi$
$878$	33.8117	+	2.95814i	1.14109	+	0.0998323i
$879$	0.341273	−	4.48960i	0.0115108	−	0.151431i
$880$	−11.5194	+	1.04428i	−0.388319	+	0.0352027i
$881$	−16.5520	+	9.55631i	−0.557651	+	0.321960i	−0.752202	−	0.658932i	$-0.771008\pi$
$881$	−16.5520	+	9.55631i	−0.557651	+	0.321960i	0.194551	+	0.980892i	$0.437675\pi$
$882$	4.91499	+	0.317308i	0.165496	+	0.0106843i
$883$	−14.7989	+	6.90086i	−0.498024	+	0.232232i	−0.655366	−	0.755312i	$-0.727485\pi$
$883$	−14.7989	+	6.90086i	−0.498024	+	0.232232i	0.157341	+	0.987544i	$0.449708\pi$
$884$	22.3202	+	8.12388i	0.750709	+	0.273236i
$885$	9.49392	−	9.77407i	0.319135	−	0.328552i
$886$	14.2860	+	24.7440i	0.479947	+	0.831292i
$887$	33.5344	+	23.4810i	1.12597	+	0.788415i	0.979629	−	0.200818i	$-0.0643600\pi$
$887$	33.5344	+	23.4810i	1.12597	+	0.788415i	0.146345	+	0.989234i	$0.453249\pi$
$888$	8.11370	−	6.96733i	0.272278	−	0.233808i
$889$	−9.31078	−	11.0962i	−0.312274	−	0.372153i
$890$	7.81325	+	13.4353i	0.261901	+	0.450353i
$891$	−13.9122	+	44.4274i	−0.466077	+	1.48838i
$892$	14.7493	+	14.7493i	0.493842	+	0.493842i
$893$	−2.23678	+	0.876912i	−0.0748508	+	0.0293447i
$894$	−5.67728	+	4.07249i	−0.189877	+	0.136205i
$895$	29.9536	−	8.12694i	1.00124	−	0.271654i
$896$	2.27962	+	0.401959i	0.0761569	+	0.0134285i
$897$	−25.0948	+	14.8724i	−0.837890	+	0.496575i
$898$	−13.8976	+	1.21589i	−0.463770	+	0.0405746i
$899$	2.57931	+	14.6280i	0.0860247	+	0.487870i
$900$	−14.9937	+	0.436105i	−0.499789	+	0.0145368i
$901$	14.4496	−	25.0275i	0.481386	−	0.833786i
$902$	26.6820	−	12.4420i	0.888413	−	0.414274i
$903$	37.9381	+	21.3308i	1.26250	+	0.709843i
$904$	6.73869	+	3.89058i	0.224125	+	0.129399i
$905$	22.5501	+	47.9650i	0.749591	+	1.59441i
$906$	−6.44268	−	6.29746i	−0.214044	−	0.209219i
$907$	1.85025	+	21.1485i	0.0614366	+	0.702224i	0.962987	+	0.269549i	$0.0868747\pi$
$907$	1.85025	+	21.1485i	0.0614366	+	0.702224i	−0.901550	+	0.432675i	$0.857570\pi$
$908$	−2.46773	−	0.215898i	−0.0818945	−	0.00716484i
$909$	−8.07487	−	4.41973i	−0.267827	−	0.146593i
$910$	−14.9252	+	26.0398i	−0.494767	+	0.863210i
$911$		−	10.6886i		−	0.354130i	−0.984199	−	0.177065i	$-0.943340\pi$
$911$		−	10.6886i		−	0.354130i	0.984199	−	0.177065i	$-0.0566603\pi$
$912$	6.33615	+	4.10526i	0.209811	+	0.135939i
$913$	63.0749	−	63.0749i	2.08748	−	2.08748i
$914$	−26.4347	+	9.62143i	−0.874381	+	0.318249i
$915$	10.1623	−	22.6469i	0.335954	−	0.748684i
$916$	−21.7205	+	18.2257i	−0.717666	+	0.602193i
$917$	−45.3780	+	3.97006i	−1.49851	+	0.131103i
$918$	−20.2383	−	6.59175i	−0.667964	−	0.217560i
$919$	22.8819	−	13.2109i	0.754803	−	0.435786i	−0.0726237	−	0.997359i	$-0.523137\pi$
$919$	22.8819	−	13.2109i	0.754803	−	0.435786i	0.827427	+	0.561574i	$0.189804\pi$
$920$	5.33168	+	3.70838i	0.175780	+	0.122262i
$921$	10.8097	+	38.5781i	0.356192	+	1.27119i
$922$	1.95983	+	4.20286i	0.0645435	+	0.138414i
$923$	−40.3165	+	10.8028i	−1.32703	+	0.355578i
$924$	8.55000	−	18.8949i	0.281274	−	0.621596i
$925$	21.6928	−	21.9671i	0.713256	−	0.722273i
$926$	5.21636	−	6.21662i	0.171420	−	0.204291i
$927$	−7.64789	+	17.4275i	−0.251190	+	0.572393i
$928$	2.05805	+	2.93920i	0.0675589	+	0.0964841i
$929$	12.7373	−	4.63601i	0.417899	−	0.152103i	−0.124508	−	0.992219i	$-0.539735\pi$
$929$	12.7373	−	4.63601i	0.417899	−	0.152103i	0.542407	+	0.840116i	$0.317513\pi$
$930$	−13.7669	+	8.21749i	−0.451435	+	0.269462i
$931$	−5.96104	−	3.95941i	−0.195365	−	0.129764i
$932$	13.8951	−	13.8951i	0.455148	−	0.455148i
$933$	7.54982	+	40.1365i	0.247170	+	1.31401i
$934$	0.712185	+	0.125577i	0.0233034	+	0.00410902i
$935$	−46.6856	−	8.08084i	−1.52678	−	0.264272i
$936$	−9.03909	−	14.8631i	−0.295452	−	0.485816i
$937$	−7.88614	+	11.2626i	−0.257629	+	0.367932i	−0.927042	−	0.374959i	$-0.877657\pi$
$937$	−7.88614	+	11.2626i	−0.257629	+	0.367932i	0.669413	+	0.742891i	$0.266546\pi$
$938$	−7.27953	+	27.1676i	−0.237685	+	0.887053i
$939$	−2.63089	−	26.5783i	−0.0858558	−	0.867351i
$940$	−0.425165	−	1.15681i	−0.0138673	−	0.0377311i
$941$	1.51330	−	4.15775i	0.0493321	−	0.135539i	−0.912580	−	0.408899i	$-0.865913\pi$
$941$	1.51330	−	4.15775i	0.0493321	−	0.135539i	0.961912	+	0.273360i	$0.0881351\pi$
$942$	−2.16878	+	2.64531i	−0.0706627	+	0.0861888i
$943$	−15.9671	−	4.27838i	−0.519961	−	0.139323i
$944$	−0.610931	−	3.46476i	−0.0198841	−	0.112768i
$945$	12.5689	−	23.7779i	0.408867	−	0.773494i
$946$	−43.0158	+	36.0945i	−1.39856	+	1.17353i
$947$	−24.1527	−	34.4936i	−0.784856	−	1.12089i	−0.989848	−	0.142127i	$-0.954606\pi$
$947$	−24.1527	−	34.4936i	−0.784856	−	1.12089i	0.204992	−	0.978764i	$-0.434283\pi$
$948$	1.46667	−	0.275886i	0.0476352	−	0.00896036i
$949$			56.1258i			1.82192i
$950$	19.2017	+	10.3100i	0.622984	+	0.334501i
$951$	−27.0992	+	19.4391i	−0.878752	+	0.630357i
$952$	8.59358	+	4.00725i	0.278519	+	0.129876i
$953$	18.5246	−	12.9711i	0.600072	−	0.420175i	−0.233681	−	0.972313i	$-0.575077\pi$
$953$	18.5246	−	12.9711i	0.600072	−	0.420175i	0.833752	+	0.552139i	$0.186188\pi$
$954$	−19.7185	+	7.69038i	−0.638411	+	0.248985i
$955$	9.29730	−	9.35588i	0.300853	−	0.302749i
$956$	18.6060	−	3.28074i	0.601761	−	0.106107i
$957$	30.0815	−	11.3387i	0.972397	−	0.366528i
$958$	−1.53662	−	5.73475i	−0.0496460	−	0.185281i
$959$	−7.08388	−	2.57832i	−0.228751	−	0.0832584i
$960$	−2.17509	+	3.20452i	−0.0702008	+	0.103426i
$961$	6.93149	−	12.0057i	0.223596	−	0.387280i
$962$	34.5840	+	9.26676i	1.11503	+	0.298772i
$963$	−33.2871	−	45.3046i	−1.07266	−	1.45992i
$964$	−7.81135	+	9.30920i	−0.251587	+	0.299829i
$965$	1.96204	−	11.3353i	0.0631604	−	0.364898i
$966$	−10.4971	+	5.04131i	−0.337737	+	0.162202i
$967$	6.70812	+	3.12805i	0.215718	+	0.100591i	0.527474	−	0.849571i	$-0.323139\pi$
$967$	6.70812	+	3.12805i	0.215718	+	0.100591i	−0.311756	+	0.950162i	$0.600917\pi$
$968$	11.1421	+	11.1421i	0.358122	+	0.358122i
$969$	20.7177	+	22.9607i	0.665550	+	0.737603i
$970$	18.2949	+	1.54272i	0.587415	+	0.0495337i
$971$	−5.07557	−	13.9450i	−0.162883	−	0.447517i	0.831222	−	0.555941i	$-0.187642\pi$
$971$	−5.07557	−	13.9450i	−0.162883	−	0.447517i	−0.994105	+	0.108424i	$0.965420\pi$
$972$	8.55055	+	13.0341i	0.274259	+	0.418069i
$973$	0.105656	−	1.20766i	0.00338718	−	0.0387157i
$974$	−18.3047	−	15.3595i	−0.586522	−	0.492150i
$975$	−29.5263	−	40.6202i	−0.945600	−	1.30089i
$976$	−3.20457	−	5.55047i	−0.102576	−	0.177666i
$977$	5.34644	+	19.9532i	0.171048	+	0.638359i	0.997191	+	0.0748992i	$0.0238635\pi$
$977$	5.34644	+	19.9532i	0.171048	+	0.638359i	−0.826143	+	0.563460i	$0.809470\pi$
$978$	−10.5383	+	18.7430i	−0.336976	+	0.599334i
$979$	12.2969	−	33.7855i	0.393011	−	1.07979i
$980$	2.09617	−	3.01374i	0.0669597	−	0.0962705i
$981$	−10.3384	+	2.06697i	−0.330079	+	0.0659932i
$982$	8.22921	−	11.7525i	0.262605	−	0.375038i
$983$	2.99230	+	34.2022i	0.0954396	+	1.09088i	0.881326	+	0.472509i	$0.156652\pi$
$983$	2.99230	+	34.2022i	0.0954396	+	1.09088i	−0.785886	+	0.618371i	$0.787793\pi$
$984$	2.44270	−	9.55040i	0.0778704	−	0.304456i
$985$	15.9548	+	27.4351i	0.508361	+	0.874155i
$986$	5.02693	+	13.8114i	0.160090	+	0.439844i
$987$	2.18052	+	0.358907i	0.0694066	+	0.0114241i
$988$	0.620764	+	25.2680i	0.0197491	+	0.803883i
$989$	31.5293			1.00257
$990$	22.9865	+	25.9943i	0.730560	+	0.826152i
$991$	−7.73658	+	43.8763i	−0.245761	+	1.39378i	0.572959	+	0.819584i	$0.305795\pi$
$991$	−7.73658	+	43.8763i	−0.245761	+	1.39378i	−0.818720	+	0.574194i	$0.805316\pi$
$992$	−0.360798	+	4.12394i	−0.0114553	+	0.130935i
$993$	−21.4485	−	24.9775i	−0.680647	−	0.792637i
$994$	−16.4088	+	2.89332i	−0.520456	+	0.0917705i
$995$	45.8128	−	21.5383i	1.45236	−	0.682810i
$996$	−2.94217	−	29.7231i	−0.0932263	−	0.941811i
$997$	−12.2661	−	26.3048i	−0.388472	−	0.833082i	−0.999151	−	0.0412031i	$-0.986881\pi$
$997$	−12.2661	−	26.3048i	−0.388472	−	0.833082i	0.610678	−	0.791879i	$-0.290897\pi$
$998$	1.64459	+	3.52684i	0.0520587	+	0.111640i
$999$	−31.2565	−	7.23957i	−0.988913	−	0.229050i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.347.9	yes	480
3.2	odd	2	inner	570.2.bi.a.347.40	yes	480
5.3	odd	4	inner	570.2.bi.a.233.22	yes	480
15.8	even	4	inner	570.2.bi.a.233.10	yes	480
19.4	even	9	inner	570.2.bi.a.137.10	yes	480
57.23	odd	18	inner	570.2.bi.a.137.22	yes	480
95.23	odd	36	inner	570.2.bi.a.23.40	yes	480
285.23	even	36	inner	570.2.bi.a.23.9	✓	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.23.9	✓	480	285.23	even	36	inner
570.2.bi.a.23.40	yes	480	95.23	odd	36	inner
570.2.bi.a.137.10	yes	480	19.4	even	9	inner
570.2.bi.a.137.22	yes	480	57.23	odd	18	inner
570.2.bi.a.233.10	yes	480	15.8	even	4	inner
570.2.bi.a.233.22	yes	480	5.3	odd	4	inner
570.2.bi.a.347.9	yes	480	1.1	even	1	trivial
570.2.bi.a.347.40	yes	480	3.2	odd	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bi (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.422618 + 0.906308i) q^{2} +(-0.573806 + 1.63424i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(1.58610 + 1.57617i) q^{5} +(-1.23863 - 1.21071i) q^{6} +(0.599112 - 2.23592i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-2.34149 - 1.87548i) q^{9} +O(q^{10})\)	\(q+(-0.422618 + 0.906308i) q^{2} +(-0.573806 + 1.63424i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(1.58610 + 1.57617i) q^{5} +(-1.23863 - 1.21071i) q^{6} +(0.599112 - 2.23592i) q^{7} +(0.965926 - 0.258819i) q^{8} +(-2.34149 - 1.87548i) q^{9} +(-2.09880 + 0.771375i) q^{10} +(4.47974 + 2.58638i) q^{11} +(1.62074 - 0.610909i) q^{12} +(4.74996 + 3.32596i) q^{13} +(1.77323 + 1.48792i) q^{14} +(-3.48595 + 1.68765i) q^{15} +(-0.173648 + 0.984808i) q^{16} +(-1.73115 + 3.71246i) q^{17} +(2.68932 - 1.32950i) q^{18} +(-4.35033 - 0.273142i) q^{19} +(0.187889 - 2.22816i) q^{20} +(3.31025 + 2.26208i) q^{21} +(-4.23727 + 2.96697i) q^{22} +(2.89339 + 0.253139i) q^{23} +(-0.131281 + 1.72707i) q^{24} +(0.0314051 + 4.99990i) q^{25} +(-5.02176 + 2.89931i) q^{26} +(4.40855 - 2.75041i) q^{27} +(-2.09791 + 0.978273i) q^{28} +(-3.37172 - 1.22720i) q^{29} +(-0.0563069 - 3.87257i) q^{30} +(-2.06984 - 3.58508i) q^{31} +(-0.819152 - 0.573576i) q^{32} +(-6.79726 + 5.83689i) q^{33} +(-2.63302 - 3.13791i) q^{34} +(4.47442 - 2.60208i) q^{35} +(0.0683842 + 2.99922i) q^{36} +(-4.36608 - 4.36608i) q^{37} +(2.08608 - 3.82731i) q^{38} +(-8.16097 + 5.85413i) q^{39} +(1.93999 + 1.11195i) q^{40} +(-5.60496 - 0.988305i) q^{41} +(-3.44911 + 2.04411i) q^{42} +(10.8143 - 0.946125i) q^{43} +(-0.898239 - 5.09417i) q^{44} +(-0.757773 - 6.66527i) q^{45} +(-1.45222 + 2.51532i) q^{46} +(0.499537 - 0.232938i) q^{47} +(-1.50977 - 0.848872i) q^{48} +(1.42179 + 0.820871i) q^{49} +(-4.54472 - 2.08459i) q^{50} +(-5.07372 - 4.95935i) q^{51} +(-0.505384 - 5.77656i) q^{52} +(-7.02820 - 0.614888i) q^{53} +(0.629582 + 5.15787i) q^{54} +(3.02874 + 11.1630i) q^{55} -2.31479i q^{56} +(2.94263 - 6.95276i) q^{57} +(2.53717 - 2.53717i) q^{58} +(-3.30604 + 1.20330i) q^{59} +(3.53354 + 1.58559i) q^{60} +(-4.90968 + 4.11971i) q^{61} +(4.12394 - 0.360798i) q^{62} +(-5.59623 + 4.11176i) q^{63} +(0.866025 - 0.500000i) q^{64} +(2.29164 + 12.7620i) q^{65} +(-2.41737 - 8.62719i) q^{66} +(5.13504 + 11.0121i) q^{67} +(3.95667 - 1.06019i) q^{68} +(-2.07393 + 4.58324i) q^{69} +(0.467312 + 5.15489i) q^{70} +(-4.62681 + 5.51402i) q^{71} +(-2.74712 - 1.20555i) q^{72} +(5.55173 + 7.92870i) q^{73} +(5.80220 - 2.11183i) q^{74} +(-8.18907 - 2.81765i) q^{75} +(2.58710 + 3.50812i) q^{76} +(8.46679 - 8.46679i) q^{77} +(-1.85666 - 9.87041i) q^{78} +(0.848542 + 0.149621i) q^{79} +(-1.82764 + 1.28830i) q^{80} +(1.96518 + 8.78283i) q^{81} +(3.26447 - 4.66214i) q^{82} +(4.46320 - 16.6569i) q^{83} +(-0.394939 - 3.98984i) q^{84} +(-8.59723 + 3.15975i) q^{85} +(-3.71282 + 10.2009i) q^{86} +(3.94026 - 4.80602i) q^{87} +(4.99650 + 1.33881i) q^{88} +(-1.20696 - 6.84502i) q^{89} +(6.36103 + 2.13009i) q^{90} +(10.2823 - 8.62789i) q^{91} +(-1.66592 - 2.37918i) q^{92} +(7.04657 - 1.32549i) q^{93} +0.551178i q^{94} +(-6.46953 - 7.29007i) q^{95} +(1.40740 - 1.00957i) q^{96} +(-7.44149 - 3.47002i) q^{97} +(-1.34484 + 0.941664i) q^{98} +(-5.63858 - 14.4576i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q+O(q^{10}) \) 480 * q	\( 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) \) 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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