LMFDB - Embedded newform 591.2.n.a.10.14

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [591,2,Mod(4,591)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("591.4"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(591, base_ring=CyclotomicField(98)) chi = DirichletCharacter(H, H._module([0, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 591 = 3 \cdot 197 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	591.n (of order $98$, degree $42$, 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:	$4.71915875946$
Analytic rank:	$0$
Dimension:	$1344$
Relative dimension:	$32$ over $\Q(\zeta_{98})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{98}]$

Embedding invariants

Embedding label			10.14
Character	$\chi$	$=$	591.10
Dual form			591.2.n.a.532.14

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0639185 - 0.495739i) q^{2} +(-0.938468 - 0.345365i) q^{3} +(1.69292 - 0.443935i) q^{4} +(-1.62534 + 0.719492i) q^{5} +(-0.111225 + 0.487311i) q^{6} +(2.04245 + 0.263345i) q^{7} +(-0.703434 - 1.73749i) q^{8} +(0.761446 + 0.648228i) q^{9} +(0.460570 + 0.759758i) q^{10} +(2.12197 + 3.25992i) q^{11} +(-1.74207 - 0.168055i) q^{12} +(0.272142 + 4.23882i) q^{13} -1.02936i q^{14} +(1.77382 - 0.113883i) q^{15} +(2.23351 - 1.25789i) q^{16} +(-2.16002 - 0.0692677i) q^{17} +(0.272682 - 0.418912i) q^{18} +(4.11756 - 5.16326i) q^{19} +(-2.43217 + 1.93959i) q^{20} +(-1.82583 - 0.952533i) q^{21} +(1.48044 - 1.26031i) q^{22} +(3.67595 + 1.22050i) q^{23} +(0.0600803 + 1.87353i) q^{24} +(-1.23743 + 1.36255i) q^{25} +(2.08396 - 0.405850i) q^{26} +(-0.490718 - 0.871319i) q^{27} +(3.57461 - 0.460895i) q^{28} +(0.0568278 - 0.589079i) q^{29} +(-0.169836 - 0.872073i) q^{30} +(2.99674 - 3.09438i) q^{31} +(-3.00865 - 4.03132i) q^{32} +(-0.865542 - 3.79219i) q^{33} +(0.103727 + 1.07523i) q^{34} +(-3.50916 + 1.04150i) q^{35} +(1.57684 + 0.759365i) q^{36} +(9.42456 + 5.30782i) q^{37} +(-2.82282 - 1.71121i) q^{38} +(1.20855 - 4.07199i) q^{39} +(2.39344 + 2.31791i) q^{40} +(0.319195 - 9.95369i) q^{41} +(-0.355504 + 0.966018i) q^{42} +(-3.04892 + 1.98463i) q^{43} +(5.03952 + 4.57676i) q^{44} +(-1.70401 - 0.505740i) q^{45} +(0.370088 - 1.90033i) q^{46} +(5.67288 + 8.13250i) q^{47} +(-2.53051 + 0.409113i) q^{48} +(-2.66880 - 0.699842i) q^{49} +(0.754562 + 0.526350i) q^{50} +(2.00319 + 0.811001i) q^{51} +(2.34248 + 7.05517i) q^{52} +(3.09362 + 0.602482i) q^{53} +(-0.400581 + 0.298961i) q^{54} +(-5.79442 - 3.77175i) q^{55} +(-0.979169 - 3.73400i) q^{56} +(-5.64741 + 3.42349i) q^{57} +(-0.295662 + 0.00948130i) q^{58} +(1.39709 - 2.30464i) q^{59} +(2.95238 - 0.980257i) q^{60} +(-2.18703 - 5.94286i) q^{61} +(-1.72555 - 1.28781i) q^{62} +(1.38451 + 1.52450i) q^{63} +(1.87661 - 1.81740i) q^{64} +(-3.49212 - 6.69375i) q^{65} +(-1.82461 + 0.671474i) q^{66} +(12.4418 - 8.67886i) q^{67} +(-3.68749 + 0.841645i) q^{68} +(-3.02825 - 2.41495i) q^{69} +(0.740613 + 1.67306i) q^{70} +(-7.90329 + 9.28365i) q^{71} +(0.590667 - 1.77899i) q^{72} +(-3.02201 + 5.36588i) q^{73} +(2.02889 - 5.01139i) q^{74} +(1.63186 - 0.851342i) q^{75} +(4.67854 - 10.5689i) q^{76} +(3.47555 + 7.21705i) q^{77} +(-2.09589 - 0.338848i) q^{78} +(-13.1144 - 5.80536i) q^{79} +(-2.72518 + 3.65149i) q^{80} +(0.159600 + 0.987182i) q^{81} +(-4.95483 + 0.477987i) q^{82} +(-4.01958 - 5.04039i) q^{83} +(-3.51384 - 0.802011i) q^{84} +(3.56061 - 1.44153i) q^{85} +(1.17874 + 1.38461i) q^{86} +(-0.256779 + 0.533206i) q^{87} +(4.17143 - 5.98006i) q^{88} +(-0.914364 - 0.944156i) q^{89} +(-0.141798 + 0.877069i) q^{90} +(-0.560437 + 8.72927i) q^{91} +(6.76491 + 0.434322i) q^{92} +(-3.88104 + 1.86901i) q^{93} +(3.66900 - 3.33209i) q^{94} +(-2.97753 + 11.3546i) q^{95} +(1.43125 + 4.82235i) q^{96} +(-3.75480 + 7.19724i) q^{97} +(-0.176353 + 1.36776i) q^{98} +(-0.497405 + 3.85778i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1344 q + 14 q^{4} - 14 q^{6} + 14 q^{7} - 28 q^{8} + 14 q^{10} - 28 q^{11} + 14 q^{15} + 14 q^{16} - 56 q^{19} + 42 q^{22} - 56 q^{28} - 322 q^{29} + 28 q^{31} + 28 q^{32} - 28 q^{33} + 28 q^{34} - 210 q^{36}+ \cdots - 28 q^{99}+O(q^{100}) $ 1344 * q + 14 * q^4 - 14 * q^6 + 14 * q^7 - 28 * q^8 + 14 * q^10 - 28 * q^11 + 14 * q^15 + 14 * q^16 - 56 * q^19 + 42 * q^22 - 56 * q^28 - 322 * q^29 + 28 * q^31 + 28 * q^32 - 28 * q^33 + 28 * q^34 - 210 * q^36 - 14 * q^37 - 28 * q^41 + 14 * q^42 - 56 * q^43 - 336 * q^44 + 14 * q^45 + 14 * q^46 - 28 * q^47 + 42 * q^49 + 98 * q^50 - 56 * q^52 + 70 * q^55 + 98 * q^56 - 196 * q^58 - 28 * q^59 - 28 * q^61 + 28 * q^62 - 154 * q^64 + 182 * q^65 + 28 * q^67 - 336 * q^71 + 14 * q^73 + 28 * q^74 + 196 * q^76 - 42 * q^79 - 28 * q^83 - 910 * q^85 - 210 * q^86 + 70 * q^88 - 56 * q^89 - 28 * q^90 + 14 * q^91 + 84 * q^92 - 28 * q^93 + 14 * q^94 - 14 * q^95 - 28 * q^96 + 28 * q^97 - 56 * q^98 - 28 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/591\mathbb{Z}\right)^\times$.

$n$	$199$	$395$
$\chi(n)$	$e\left(\frac{45}{98}\right)$	$1$

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 $

$2$	−0.0639185	−	0.495739i	−0.0451972	−	0.350540i	−0.998779	−	0.0494057i	$-0.984267\pi$
$2$	−0.0639185	−	0.495739i	−0.0451972	−	0.350540i	0.953582	−	0.301135i	$-0.0973654\pi$
$3$	−0.938468	−	0.345365i	−0.541825	−	0.199397i
$3$	−0.938468	−	0.345365i	−0.541825	−	0.199397i
$4$	1.69292	−	0.443935i	0.846459	−	0.221968i
$5$	−1.62534	+	0.719492i	−0.726876	+	0.321766i	−0.734876	−	0.678202i	$-0.762760\pi$
$5$	−1.62534	+	0.719492i	−0.726876	+	0.321766i	0.00799988	+	0.999968i	$0.497454\pi$
$6$	−0.111225	+	0.487311i	−0.0454076	+	0.198944i
$7$	2.04245	+	0.263345i	0.771975	+	0.0995351i	0.503783	−	0.863830i	$-0.331941\pi$
$7$	2.04245	+	0.263345i	0.771975	+	0.0995351i	0.268192	+	0.963366i	$0.413574\pi$
$8$	−0.703434	−	1.73749i	−0.248701	−	0.614297i
$9$	0.761446	+	0.648228i	0.253815	+	0.216076i
$10$	0.460570	+	0.759758i	0.145645	+	0.240256i
$11$	2.12197	+	3.25992i	0.639799	+	0.982903i	0.998771	+	0.0495550i	$0.0157803\pi$
$11$	2.12197	+	3.25992i	0.639799	+	0.982903i	−0.358972	+	0.933348i	$0.616873\pi$
$12$	−1.74207	−	0.168055i	−0.502892	−	0.0485134i
$13$	0.272142	+	4.23882i	0.0754785	+	1.17564i	0.844191	+	0.536043i	$0.180082\pi$
$13$	0.272142	+	4.23882i	0.0754785	+	1.17564i	−0.768712	+	0.639595i	$0.779102\pi$
$14$		−	1.02936i		−	0.275107i
$15$	1.77382	−	0.113883i	0.457999	−	0.0294045i
$16$	2.23351	−	1.25789i	0.558377	−	0.314472i
$17$	−2.16002	−	0.0692677i	−0.523882	−	0.0167999i	−0.231010	−	0.972951i	$-0.574203\pi$
$17$	−2.16002	−	0.0692677i	−0.523882	−	0.0167999i	−0.292872	+	0.956152i	$0.594611\pi$
$18$	0.272682	−	0.418912i	0.0642717	−	0.0987386i
$19$	4.11756	−	5.16326i	0.944634	−	1.18453i	−0.0380564	−	0.999276i	$-0.512117\pi$
$19$	4.11756	−	5.16326i	0.944634	−	1.18453i	0.982690	−	0.185258i	$-0.0593119\pi$
$20$	−2.43217	+	1.93959i	−0.543849	+	0.433705i
$21$	−1.82583	−	0.952533i	−0.398428	−	0.207860i
$22$	1.48044	−	1.26031i	0.315630	−	0.268700i
$23$	3.67595	+	1.22050i	0.766489	+	0.254492i	0.671518	−	0.740988i	$-0.265643\pi$
$23$	3.67595	+	1.22050i	0.766489	+	0.254492i	0.0949709	+	0.995480i	$0.469724\pi$
$24$	0.0600803	+	1.87353i	0.0122638	+	0.382432i
$25$	−1.23743	+	1.36255i	−0.247486	+	0.272509i
$26$	2.08396	−	0.405850i	0.408697	−	0.0795938i
$27$	−0.490718	−	0.871319i	−0.0944386	−	0.167685i
$28$	3.57461	−	0.460895i	0.675539	−	0.0871011i
$29$	0.0568278	−	0.589079i	0.0105527	−	0.109389i	−0.988599	−	0.150573i	$-0.951888\pi$
$29$	0.0568278	−	0.589079i	0.0105527	−	0.109389i	0.999152	+	0.0411833i	$0.0131128\pi$
$30$	−0.169836	−	0.872073i	−0.0310077	−	0.159218i
$31$	2.99674	−	3.09438i	0.538231	−	0.555767i	−0.393309	−	0.919406i	$-0.628670\pi$
$31$	2.99674	−	3.09438i	0.538231	−	0.555767i	0.931540	+	0.363639i	$0.118466\pi$
$32$	−3.00865	−	4.03132i	−0.531859	−	0.712643i
$33$	−0.865542	−	3.79219i	−0.150672	−	0.660135i
$34$	0.103727	+	1.07523i	0.0177889	+	0.184401i
$35$	−3.50916	+	1.04150i	−0.593157	+	0.176046i
$36$	1.57684	+	0.759365i	0.262806	+	0.126561i
$37$	9.42456	+	5.30782i	1.54939	+	0.872600i	0.999297	+	0.0374956i	$0.0119380\pi$
$37$	9.42456	+	5.30782i	1.54939	+	0.872600i	0.550092	+	0.835104i	$0.314593\pi$
$38$	−2.82282	−	1.71121i	−0.457921	−	0.277595i
$39$	1.20855	−	4.07199i	0.193522	−	0.652040i
$40$	2.39344	+	2.31791i	0.378435	+	0.366494i
$41$	0.319195	−	9.95369i	0.0498499	−	1.55450i	−0.603447	−	0.797403i	$-0.706207\pi$
$41$	0.319195	−	9.95369i	0.0498499	−	1.55450i	0.653297	−	0.757102i	$-0.273385\pi$
$42$	−0.355504	+	0.966018i	−0.0548554	+	0.149060i
$43$	−3.04892	+	1.98463i	−0.464956	+	0.302653i	−0.756604	−	0.653873i	$-0.773143\pi$
$43$	−3.04892	+	1.98463i	−0.464956	+	0.302653i	0.291649	+	0.956525i	$0.405796\pi$
$44$	5.03952	+	4.57676i	0.759736	+	0.689973i
$45$	−1.70401	−	0.505740i	−0.254018	−	0.0753913i
$46$	0.370088	−	1.90033i	0.0545665	−	0.280188i
$47$	5.67288	+	8.13250i	0.827475	+	1.18625i	0.980206	+	0.197980i	$0.0634380\pi$
$47$	5.67288	+	8.13250i	0.827475	+	1.18625i	−0.152731	+	0.988268i	$0.548807\pi$
$48$	−2.53051	+	0.409113i	−0.365247	+	0.0590503i
$49$	−2.66880	−	0.699842i	−0.381257	−	0.0999774i
$50$	0.754562	+	0.526350i	0.106711	+	0.0744371i
$51$	2.00319	+	0.811001i	0.280502	+	0.113563i
$52$	2.34248	+	7.05517i	0.324843	+	0.978376i
$53$	3.09362	+	0.602482i	0.424941	+	0.0827572i	0.399097	−	0.916909i	$-0.369324\pi$
$53$	3.09362	+	0.602482i	0.424941	+	0.0827572i	0.0258440	+	0.999666i	$0.491773\pi$
$54$	−0.400581	+	0.298961i	−0.0545121	+	0.0406835i
$55$	−5.79442	−	3.77175i	−0.781320	−	0.508583i
$56$	−0.979169	−	3.73400i	−0.130847	−	0.498976i
$57$	−5.64741	+	3.42349i	−0.748018	+	0.453453i
$58$	−0.295662	+	0.00948130i	−0.0388223	+	0.00124496i
$59$	1.39709	−	2.30464i	0.181885	−	0.300039i	−0.750938	−	0.660373i	$-0.770398\pi$
$59$	1.39709	−	2.30464i	0.181885	−	0.300039i	0.932824	+	0.360334i	$0.117337\pi$
$60$	2.95238	−	0.980257i	0.381150	−	0.126551i
$61$	−2.18703	−	5.94286i	−0.280020	−	0.760905i	−0.997902	−	0.0647404i	$-0.979378\pi$
$61$	−2.18703	−	5.94286i	−0.280020	−	0.760905i	0.717882	−	0.696165i	$-0.245112\pi$
$62$	−1.72555	−	1.28781i	−0.219145	−	0.163552i
$63$	1.38451	+	1.52450i	0.174432	+	0.192069i
$64$	1.87661	−	1.81740i	0.234576	−	0.227175i
$65$	−3.49212	−	6.69375i	−0.433144	−	0.830257i
$66$	−1.82461	+	0.671474i	−0.224594	+	0.0826527i
$67$	12.4418	−	8.67886i	1.52001	−	1.06029i	0.544916	−	0.838490i	$-0.316561\pi$
$67$	12.4418	−	8.67886i	1.52001	−	1.06029i	0.975092	−	0.221801i	$-0.0711937\pi$
$68$	−3.68749	+	0.841645i	−0.447174	+	0.102064i
$69$	−3.02825	−	2.41495i	−0.364558	−	0.290725i
$70$	0.740613	+	1.67306i	0.0885202	+	0.199969i
$71$	−7.90329	+	9.28365i	−0.937948	+	1.10177i	0.0566943	+	0.998392i	$0.481944\pi$
$71$	−7.90329	+	9.28365i	−0.937948	+	1.10177i	−0.994642	+	0.103376i	$0.967036\pi$
$72$	0.590667	−	1.77899i	0.0696107	−	0.209656i
$73$	−3.02201	+	5.36588i	−0.353700	+	0.628029i	−0.989617	−	0.143727i	$-0.954091\pi$
$73$	−3.02201	+	5.36588i	−0.353700	+	0.628029i	0.635918	+	0.771757i	$0.280622\pi$
$74$	2.02889	−	5.01139i	0.235853	−	0.582562i
$75$	1.63186	−	0.851342i	0.188431	−	0.0983045i
$76$	4.67854	−	10.5689i	0.536666	−	1.21234i
$77$	3.47555	+	7.21705i	0.396075	+	0.822459i
$78$	−2.09589	−	0.338848i	−0.237313	−	0.0383669i
$79$	−13.1144	−	5.80536i	−1.47549	−	0.653154i	−0.498584	−	0.866841i	$-0.666147\pi$
$79$	−13.1144	−	5.80536i	−1.47549	−	0.653154i	−0.976902	+	0.213687i	$0.931453\pi$
$80$	−2.72518	+	3.65149i	−0.304684	+	0.408249i
$81$	0.159600	+	0.987182i	0.0177333	+	0.109687i
$82$	−4.95483	+	0.477987i	−0.547170	+	0.0527848i
$83$	−4.01958	−	5.04039i	−0.441206	−	0.553255i	0.510655	−	0.859786i	$-0.329403\pi$
$83$	−4.01958	−	5.04039i	−0.441206	−	0.553255i	−0.951861	+	0.306531i	$0.900832\pi$
$84$	−3.51384	−	0.802011i	−0.383391	−	0.0875066i
$85$	3.56061	−	1.44153i	0.386203	−	0.156356i
$86$	1.17874	+	1.38461i	0.127107	+	0.149307i
$87$	−0.256779	+	0.533206i	−0.0275295	+	0.0571657i
$88$	4.17143	−	5.98006i	0.444676	−	0.637476i
$89$	−0.914364	−	0.944156i	−0.0969224	−	0.100080i	0.668143	−	0.744033i	$-0.267089\pi$
$89$	−0.914364	−	0.944156i	−0.0969224	−	0.100080i	−0.765066	+	0.643952i	$0.777293\pi$
$90$	−0.141798	+	0.877069i	−0.0149468	+	0.0924512i
$91$	−0.560437	+	8.72927i	−0.0587498	+	0.915076i
$92$	6.76491	+	0.434322i	0.705291	+	0.0452812i
$93$	−3.88104	+	1.86901i	−0.402445	+	0.193807i
$94$	3.66900	−	3.33209i	0.378428	−	0.343678i
$95$	−2.97753	+	11.3546i	−0.305489	+	1.16496i
$96$	1.43125	+	4.82235i	0.146076	+	0.492179i
$97$	−3.75480	+	7.19724i	−0.381242	+	0.730769i	−0.998428	−	0.0560481i	$-0.982150\pi$
$97$	−3.75480	+	7.19724i	−0.381242	+	0.730769i	0.617186	+	0.786817i	$0.288272\pi$
$98$	−0.176353	+	1.36776i	−0.0178144	+	0.138165i
$99$	−0.497405	+	3.85778i	−0.0499911	+	0.387721i
$100$	−1.48998	+	2.85602i	−0.148998	+	0.285602i
$101$	2.84899	+	9.59920i	0.283485	+	0.955156i	0.972985	+	0.230870i	$0.0741572\pi$
$101$	2.84899	+	9.59920i	0.283485	+	0.955156i	−0.689499	+	0.724286i	$0.742169\pi$
$102$	0.274004	−	1.04490i	0.0271305	−	0.103460i
$103$	−14.7822	+	13.4248i	−1.45653	+	1.32278i	−0.607642	+	0.794211i	$0.707884\pi$
$103$	−14.7822	+	13.4248i	−1.45653	+	1.32278i	−0.848889	+	0.528572i	$0.822728\pi$
$104$	7.17350	−	3.45458i	0.703420	−	0.338749i
$105$	3.65294	+	0.234526i	0.356490	+	0.0228874i
$106$	0.100934	−	1.57214i	0.00980362	−	0.152699i
$107$	1.19123	−	7.36815i	0.115160	−	0.712306i	−0.863117	−	0.505004i	$-0.831491\pi$
$107$	1.19123	−	7.36815i	0.115160	−	0.712306i	0.978277	−	0.207302i	$-0.0664682\pi$
$108$	−1.21755	−	1.25722i	−0.117159	−	0.120976i
$109$	−0.422105	+	0.605119i	−0.0404303	+	0.0579599i	−0.839875	−	0.542779i	$-0.817372\pi$
$109$	−0.422105	+	0.605119i	−0.0404303	+	0.0579599i	0.799445	+	0.600739i	$0.205127\pi$
$110$	−1.49943	+	3.11361i	−0.142965	+	0.296871i
$111$	−7.01152	−	8.23613i	−0.665504	−	0.781739i
$112$	4.89309	−	1.98099i	0.462354	−	0.187186i
$113$	10.2923	+	2.34915i	0.968217	+	0.220989i	0.677258	−	0.735746i	$-0.263168\pi$
$113$	10.2923	+	2.34915i	0.968217	+	0.220989i	0.290960	+	0.956735i	$0.406025\pi$
$114$	2.05813	+	2.58082i	0.192762	+	0.241716i
$115$	−6.85283	+	0.661084i	−0.639030	+	0.0616464i
$116$	−0.165308	−	1.02249i	−0.0153485	−	0.0949359i
$117$	−2.54050	+	3.40405i	−0.234870	+	0.314704i
$118$	−1.23180	−	0.545282i	−0.113396	−	0.0501973i
$119$	−4.39350	−	0.710307i	−0.402751	−	0.0651137i
$120$	−1.44564	−	3.00190i	−0.131968	−	0.274034i
$121$	−1.67170	+	3.77639i	−0.151972	+	0.343308i
$122$	−2.80632	+	1.46405i	−0.254072	+	0.132549i
$123$	−3.73721	+	9.23098i	−0.336973	+	0.832330i
$124$	3.69953	−	6.56889i	0.332228	−	0.589904i
$125$	3.83139	−	11.5395i	0.342690	−	1.03213i
$126$	0.667258	−	0.783799i	0.0594441	−	0.0698264i
$127$	6.70235	+	15.1407i	0.594737	+	1.34352i	0.917762	+	0.397131i	$0.129994\pi$
$127$	6.70235	+	15.1407i	0.594737	+	1.34352i	−0.323024	+	0.946391i	$0.604700\pi$
$128$	−8.88653	−	7.08677i	−0.785466	−	0.626388i
$129$	3.54673	−	0.809519i	0.312272	−	0.0712741i
$130$	−3.09514	+	2.15904i	−0.271462	+	0.189360i
$131$	−19.9429	+	7.33917i	−1.74242	+	0.641226i	−0.999600	−	0.0282660i	$-0.991001\pi$
$131$	−19.9429	+	7.33917i	−1.74242	+	0.641226i	−0.742819	+	0.669492i	$0.766512\pi$
$132$	−3.14878	−	6.03562i	−0.274066	−	0.525333i
$133$	9.76965	−	9.46138i	0.847136	−	0.820405i
$134$	−5.09771	−	5.61315i	−0.440375	−	0.484902i
$135$	1.42449	+	1.06313i	0.122601	+	0.0914993i
$136$	1.39908	+	3.80175i	0.119970	+	0.325997i
$137$	−14.6426	+	4.86167i	−1.25100	+	0.415360i	−0.862485	−	0.506083i	$-0.831093\pi$
$137$	−14.6426	+	4.86167i	−1.25100	+	0.415360i	−0.388514	+	0.921443i	$0.627011\pi$
$138$	−1.00362	+	1.65558i	−0.0854340	+	0.140932i
$139$	−9.09537	+	0.291671i	−0.771459	+	0.0247392i	−0.415298	−	0.909685i	$-0.636323\pi$
$139$	−9.09537	+	0.291671i	−0.771459	+	0.0247392i	−0.356161	+	0.934425i	$0.615915\pi$
$140$	−5.47837	+	3.32102i	−0.463007	+	0.280677i
$141$	−2.51514	−	9.59131i	−0.211813	−	0.807734i
$142$	5.10744	+	3.32457i	0.428606	+	0.278992i
$143$	−13.2408	+	9.88183i	−1.10725	+	0.826360i
$144$	2.51609	+	0.490009i	0.209675	+	0.0408341i
$145$	0.331473	+	0.998344i	0.0275273	+	0.0829080i
$146$	2.85324	+	1.15515i	0.236136	+	0.0956008i
$147$	2.26288	+	1.57849i	0.186640	+	0.130192i
$148$	18.3113	+	4.80180i	1.50518	+	0.394706i
$149$	−2.08692	+	0.337396i	−0.170967	+	0.0276406i	−0.244484	−	0.969653i	$-0.578619\pi$
$149$	−2.08692	+	0.337396i	−0.170967	+	0.0276406i	0.0735170	+	0.997294i	$0.476578\pi$
$150$	−0.526350	−	0.754562i	−0.0429763	−	0.0616097i
$151$	−0.772672	+	3.96751i	−0.0628791	+	0.322871i	−0.999632	−	0.0271200i	$-0.991366\pi$
$151$	−0.772672	+	3.96751i	−0.0628791	+	0.322871i	0.936753	+	0.349991i	$0.113815\pi$
$152$	−11.8676	−	3.52223i	−0.962587	−	0.285691i
$153$	−1.59984	−	1.45293i	−0.129339	−	0.117462i
$154$	3.35562	−	2.18427i	0.270404	−	0.176013i
$155$	−2.64435	+	7.18557i	−0.212400	+	0.577158i
$156$	0.238268	−	7.43006i	0.0190767	−	0.594881i
$157$	−15.0803	−	14.6045i	−1.20354	−	1.16556i	−0.981691	−	0.190482i	$-0.938995\pi$
$157$	−15.0803	−	14.6045i	−1.20354	−	1.16556i	−0.221849	−	0.975081i	$-0.571209\pi$
$158$	−2.03969	+	6.87239i	−0.162269	+	0.546738i
$159$	−2.69518	−	1.63384i	−0.213742	−	0.129572i
$160$	7.79059	+	4.38758i	0.615900	+	0.346869i
$161$	7.18655	+	3.46086i	0.566379	+	0.272754i
$162$	0.479183	−	0.142219i	0.0376482	−	0.0111738i
$163$	0.348496	+	3.61253i	0.0272963	+	0.282955i	0.998922	+	0.0464294i	$0.0147843\pi$
$163$	0.348496	+	3.61253i	0.0272963	+	0.282955i	−0.971625	+	0.236526i	$0.923991\pi$
$164$	−3.87842	−	16.9925i	−0.302854	−	1.32689i
$165$	4.13525	+	5.54086i	0.321929	+	0.431355i
$166$	−2.24179	+	2.31484i	−0.173997	+	0.179666i
$167$	−4.21903	−	21.6638i	−0.326479	−	1.67640i	−0.674004	−	0.738728i	$-0.735427\pi$
$167$	−4.21903	−	21.6638i	−0.326479	−	1.67640i	0.347525	−	0.937671i	$-0.387022\pi$
$168$	−0.370673	+	3.84241i	−0.0285980	+	0.296448i
$169$	−5.00030	+	0.644717i	−0.384638	+	0.0495936i
$170$	−0.942213	−	1.67299i	−0.0722644	−	0.128313i
$171$	6.48227	−	1.26242i	0.495712	−	0.0965399i
$172$	−4.28052	+	4.71333i	−0.326387	+	0.359388i
$173$	−0.273701	−	8.53500i	−0.0208091	−	0.648904i	−0.955763	−	0.294136i	$-0.904968\pi$
$173$	−0.273701	−	8.53500i	−0.0208091	−	0.648904i	0.934954	−	0.354768i	$-0.115440\pi$
$174$	0.280744	+	0.0932134i	0.0212831	+	0.00706649i
$175$	−2.88621	+	2.45707i	−0.218177	+	0.185737i
$176$	8.84006	+	4.61185i	0.666345	+	0.347632i
$177$	−2.10707	+	1.68033i	−0.158377	+	0.126301i
$178$	−0.409610	+	0.513635i	−0.0307016	+	0.0384986i
$179$	3.33112	−	5.11750i	0.248980	−	0.382500i	−0.691485	−	0.722391i	$-0.743043\pi$
$179$	3.33112	−	5.11750i	0.248980	−	0.382500i	0.940465	+	0.339891i	$0.110390\pi$
$180$	−3.10926	−	0.0997079i	−0.231751	−	0.00743179i
$181$	7.58409	−	4.27128i	0.563721	−	0.317482i	−0.182472	−	0.983211i	$-0.558410\pi$
$181$	7.58409	−	4.27128i	0.563721	−	0.317482i	0.746193	+	0.665729i	$0.231879\pi$
$182$	4.36326	−	0.280131i	0.323426	−	0.0207647i
$183$			6.33251i			0.468113i
$184$	−0.465176	−	7.24549i	−0.0342932	−	0.534145i
$185$	−19.1371	−	1.84613i	−1.40699	−	0.135730i
$186$	1.17461	+	1.80452i	0.0861266	+	0.132314i
$187$	−4.35770	−	7.18848i	−0.318667	−	0.525674i
$188$	13.2140	+	11.2493i	0.963732	+	0.820437i
$189$	−0.772810	−	1.90886i	−0.0562137	−	0.138849i
$190$	5.81925	+	0.750309i	0.422173	+	0.0544332i
$191$	−3.37867	+	14.8029i	−0.244472	+	1.07110i	0.692424	+	0.721491i	$0.256543\pi$
$191$	−3.37867	+	14.8029i	−0.244472	+	1.07110i	−0.936895	+	0.349610i	$0.886314\pi$
$192$	−2.38881	+	1.05745i	−0.172397	+	0.0763151i
$193$	−5.64227	+	1.47958i	−0.406140	+	0.106502i	−0.451072	−	0.892488i	$-0.648958\pi$
$193$	−5.64227	+	1.47958i	−0.406140	+	0.106502i	0.0449321	+	0.998990i	$0.485693\pi$
$194$	3.80795	+	1.40136i	0.273395	+	0.100612i
$195$	0.965461	+	7.48793i	0.0691381	+	0.536221i
$196$	−4.82875			−0.344910
$197$	−1.90470	−	13.9058i	−0.135704	−	0.990749i
$197$	−1.90470	−	13.9058i	−0.135704	−	0.990749i
$198$	1.94424			0.138171
$199$	−0.101785	−	0.789423i	−0.00721534	−	0.0559607i	0.987788	−	0.155807i	$-0.0497977\pi$
$199$	−0.101785	−	0.789423i	−0.00721534	−	0.0559607i	−0.995003	+	0.0998459i	$0.968165\pi$
$200$	3.23787	+	1.19156i	0.228952	+	0.0842563i
$201$	−14.6736	+	3.84788i	−1.03500	+	0.271408i
$202$	4.57660	−	2.02592i	0.322008	−	0.142543i
$203$	0.271199	−	1.18820i	0.0190345	−	0.0833954i
$204$	3.75127	+	0.483672i	0.262641	+	0.0338638i
$205$	6.64279	+	16.4078i	0.463953	+	1.14597i
$206$	7.60004	+	6.47001i	0.529520	+	0.450787i
$207$	2.00788	+	3.31220i	0.139557	+	0.230214i
$208$	5.93980	+	9.12512i	0.411851	+	0.632713i
$209$	25.5692	+	2.46663i	1.76866	+	0.170620i
$210$	−0.117226	−	1.82589i	−0.00808938	−	0.125999i
$211$		−	0.976020i		−	0.0671920i	−0.999435	−	0.0335960i	$-0.989304\pi$
$211$		−	0.976020i		−	0.0671920i	0.999435	−	0.0335960i	$-0.0106960\pi$
$212$	5.50470	−	0.353414i	0.378064	−	0.0242725i
$213$	10.6232	−	5.98290i	0.727892	−	0.409941i
$214$	−3.72882	−	0.119576i	−0.254897	−	0.00817405i
$215$	3.52762	−	5.41937i	0.240582	−	0.369598i
$216$	−1.16872	+	1.46553i	−0.0795216	+	0.0997170i
$217$	6.93559	−	5.53095i	0.470819	−	0.375465i
$218$	0.326962	+	0.170576i	0.0221446	+	0.0115528i
$219$	4.68925	−	3.99202i	0.316870	−	0.269755i
$220$	−11.4839	−	3.81292i	−0.774244	−	0.257067i
$221$	−0.294218	−	9.17480i	−0.0197912	−	0.617164i
$222$	−3.63481	+	4.00233i	−0.243952	+	0.268619i
$223$	10.7653	−	2.09654i	0.720895	−	0.140394i	0.182645	−	0.983179i	$-0.441534\pi$
$223$	10.7653	−	2.09654i	0.720895	−	0.140394i	0.538251	+	0.842785i	$0.319085\pi$
$224$	−5.08340	−	9.02609i	−0.339649	−	0.603081i
$225$	−1.82548	+	0.235369i	−0.121698	+	0.0156913i
$226$	0.506697	−	5.25244i	0.0337050	−	0.349387i
$227$	3.97695	+	20.4208i	0.263959	+	1.35537i	0.842049	+	0.539401i	$0.181349\pi$
$227$	3.97695	+	20.4208i	0.263959	+	1.35537i	−0.578090	+	0.815973i	$0.696202\pi$
$228$	−8.04080	+	8.30278i	−0.532515	+	0.549865i
$229$	−9.15030	−	12.2606i	−0.604669	−	0.810201i	0.389155	−	0.921172i	$-0.372767\pi$
$229$	−9.15030	−	12.2606i	−0.604669	−	0.810201i	−0.993824	+	0.110971i	$0.964604\pi$
$230$	0.765747	+	3.35496i	0.0504919	+	0.221219i
$231$	−0.769175	−	7.97330i	−0.0506080	−	0.524605i
$232$	−1.06350	+	0.315640i	−0.0698220	+	0.0207228i
$233$	9.68003	+	4.66166i	0.634160	+	0.305395i	0.723206	−	0.690632i	$-0.242668\pi$
$233$	9.68003	+	4.66166i	0.634160	+	0.305395i	−0.0890464	+	0.996027i	$0.528382\pi$
$234$	1.84990	+	1.04185i	0.120932	+	0.0681076i
$235$	−15.0717	−	9.13653i	−0.983167	−	0.596001i
$236$	1.34204	−	4.52179i	0.0873596	−	0.294343i
$237$	10.3025	+	9.97741i	0.669219	+	0.648102i
$238$	−0.0713011	+	2.22343i	−0.00462176	+	0.144124i
$239$	4.76613	−	12.9511i	0.308295	−	0.837738i	−0.685657	−	0.727925i	$-0.740485\pi$
$239$	4.76613	−	12.9511i	0.308295	−	0.837738i	0.993952	−	0.109813i	$-0.0350253\pi$
$240$	3.81859	−	2.48563i	0.246489	−	0.160447i
$241$	−4.10179	−	3.72514i	−0.264220	−	0.239957i	0.529399	−	0.848373i	$-0.322418\pi$
$241$	−4.10179	−	3.72514i	−0.264220	−	0.239957i	−0.793618	+	0.608416i	$0.791805\pi$
$242$	1.97896	+	0.587344i	0.127212	+	0.0377559i
$243$	0.191159	−	0.981559i	0.0122628	−	0.0629670i
$244$	−6.34070	−	9.08988i	−0.405922	−	0.581920i
$245$	4.84125	−	0.782696i	0.309296	−	0.0500046i
$246$	4.81503	+	1.26265i	0.306995	+	0.0805037i
$247$	23.0067	+	16.0485i	1.46388	+	1.02114i
$248$	−7.48448	−	3.03013i	−0.475265	−	0.192413i
$249$	2.03147	+	6.11847i	0.128739	+	0.387742i
$250$	−5.96549	−	1.16178i	−0.377291	−	0.0734774i
$251$	5.87462	−	4.38434i	0.370803	−	0.276737i	−0.396484	−	0.918042i	$-0.629770\pi$
$251$	5.87462	−	4.38434i	0.370803	−	0.276737i	0.767287	+	0.641304i	$0.221606\pi$
$252$	3.02064	+	1.96622i	0.190282	+	0.123860i
$253$	3.82154	+	14.5732i	0.240258	+	0.916208i
$254$	7.07744	−	4.29039i	0.444078	−	0.269203i
$255$	−3.83938	+	0.123121i	−0.240431	+	0.00771016i
$256$	−0.236684	+	0.390436i	−0.0147928	+	0.0244022i
$257$	−5.84418	+	1.94040i	−0.364550	+	0.121039i	−0.491517	−	0.870868i	$-0.663557\pi$
$257$	−5.84418	+	1.94040i	−0.364550	+	0.121039i	0.126967	+	0.991907i	$0.459476\pi$
$258$	−0.628012	−	1.70651i	−0.0390983	−	0.106243i
$259$	17.8514	+	13.3229i	1.10923	+	0.827843i
$260$	−8.88347	−	9.78169i	−0.550929	−	0.606634i
$261$	0.425129	−	0.411715i	0.0263148	−	0.0254845i
$262$	4.91303	+	9.41736i	0.303528	+	0.581807i
$263$	22.5562	−	8.30089i	1.39087	−	0.511855i	0.463536	−	0.886078i	$-0.346580\pi$
$263$	22.5562	−	8.30089i	1.39087	−	0.511855i	0.927339	+	0.374223i	$0.122091\pi$
$264$	−5.98006	+	4.17143i	−0.368047	+	0.256734i
$265$	−5.46167	+	1.24659i	−0.335508	+	0.0765775i
$266$	−5.31483	−	4.23844i	−0.325873	−	0.259875i
$267$	0.532023	+	1.20185i	0.0325593	+	0.0735520i
$268$	17.2101	−	20.2160i	1.05127	−	1.23489i
$269$	9.30372	−	28.0213i	0.567258	−	1.70849i	−0.129858	−	0.991533i	$-0.541452\pi$
$269$	9.30372	−	28.0213i	0.567258	−	1.70849i	0.697116	−	0.716958i	$-0.254466\pi$
$270$	0.435982	−	0.774129i	0.0265330	−	0.0471120i
$271$	−1.75644	+	4.33845i	−0.106696	+	0.263542i	−0.970851	−	0.239685i	$-0.922956\pi$
$271$	−1.75644	+	4.33845i	−0.106696	+	0.263542i	0.864154	+	0.503227i	$0.167854\pi$
$272$	−4.91155	+	2.56235i	−0.297807	+	0.155366i
$273$	3.54074	−	7.99858i	0.214295	−	0.484096i
$274$	3.34605	+	6.94814i	0.202142	+	0.419752i
$275$	−7.06758	−	1.14263i	−0.426191	−	0.0689033i
$276$	−6.19865	−	2.74396i	−0.373115	−	0.165167i
$277$	3.19772	−	4.28466i	0.192133	−	0.257440i	−0.694943	−	0.719065i	$-0.744570\pi$
$277$	3.19772	−	4.28466i	0.192133	−	0.257440i	0.887075	+	0.461625i	$0.152733\pi$
$278$	0.725955	+	4.49029i	0.0435399	+	0.269309i
$279$	4.28772	−	0.413631i	0.256699	−	0.0247635i
$280$	4.27807	+	5.36453i	0.255663	+	0.320592i
$281$	18.2452	+	4.16434i	1.08841	+	0.248424i	0.728834	−	0.684690i	$-0.240063\pi$
$281$	18.2452	+	4.16434i	1.08841	+	0.248424i	0.359581	+	0.933114i	$0.382920\pi$
$282$	−4.59402	+	1.85991i	−0.273570	+	0.110756i
$283$	−11.6996	−	13.7430i	−0.695467	−	0.816936i	0.294881	−	0.955534i	$-0.404720\pi$
$283$	−11.6996	−	13.7430i	−0.695467	−	0.816936i	−0.990349	+	0.138598i	$0.955740\pi$
$284$	−9.25828	+	19.2250i	−0.549378	+	1.14079i
$285$	6.71581	−	9.62762i	0.397810	−	0.570291i
$286$	5.74514	+	5.93233i	0.339717	+	0.350786i
$287$	3.27320	−	20.2459i	0.193211	−	1.19508i
$288$	0.322290	−	5.01992i	0.0189911	−	0.295802i
$289$	−12.3042	−	0.789955i	−0.723775	−	0.0464679i
$290$	0.473731	−	0.228137i	0.0278184	−	0.0133966i
$291$	6.00943	−	5.45761i	0.352279	−	0.319931i
$292$	−2.73391	+	10.4256i	−0.159990	+	0.610111i
$293$	−1.96123	−	6.60802i	−0.114576	−	0.386045i	0.881747	−	0.471723i	$-0.156368\pi$
$293$	−1.96123	−	6.60802i	−0.114576	−	0.386045i	−0.996323	+	0.0856782i	$0.972694\pi$
$294$	0.637879	−	1.22269i	0.0372019	−	0.0713090i
$295$	−0.612578	+	4.75103i	−0.0356657	+	0.276616i
$296$	2.59275	−	20.1088i	0.150700	−	1.16880i
$297$	1.79914	−	3.44862i	0.104397	−	0.200109i
$298$	0.300653	+	1.01300i	0.0174164	+	0.0586815i
$299$	−4.17311	+	15.9139i	−0.241337	+	0.920322i
$300$	2.38467	−	2.16569i	0.137679	−	0.125036i
$301$	−6.74991	+	3.25059i	−0.389058	+	0.187361i
$302$	2.01624	+	0.129447i	0.116021	+	0.00744882i
$303$	0.641539	−	9.99249i	0.0368555	−	0.574054i
$304$	2.70180	−	16.7116i	0.154959	−	0.958477i
$305$	7.83051	+	8.08565i	0.448374	+	0.462983i
$306$	−0.618015	+	0.885971i	−0.0353296	+	0.0506476i
$307$	−11.7929	+	24.4881i	−0.673054	+	1.39761i	0.232169	+	0.972675i	$0.425418\pi$
$307$	−11.7929	+	24.4881i	−0.673054	+	1.39761i	−0.905223	+	0.424936i	$0.860297\pi$
$308$	9.08772	+	10.6750i	0.517821	+	0.608262i
$309$	18.5091	−	7.49348i	1.05294	−	0.426289i
$310$	3.73119	+	0.851619i	0.211917	+	0.0483687i
$311$	0.876660	+	1.09930i	0.0497108	+	0.0623354i	0.806065	−	0.591826i	$-0.201593\pi$
$311$	0.876660	+	1.09930i	0.0497108	+	0.0623354i	−0.756355	+	0.654162i	$0.773022\pi$
$312$	−7.92519	+	0.764534i	−0.448676	+	0.0432832i
$313$	−3.84264	−	23.7681i	−0.217199	−	1.34345i	−0.832002	−	0.554772i	$-0.812805\pi$
$313$	−3.84264	−	23.7681i	−0.217199	−	1.34345i	0.614803	−	0.788680i	$-0.289235\pi$
$314$	−6.27609	+	8.40939i	−0.354180	+	0.474570i
$315$	−3.34717	−	1.48169i	−0.188592	−	0.0834839i
$316$	−24.7788	−	4.00605i	−1.39392	−	0.225358i
$317$	−1.50776	−	3.13089i	−0.0846841	−	0.175848i	0.854326	−	0.519737i	$-0.173970\pi$
$317$	−1.50776	−	3.13089i	−0.0846841	−	0.175848i	−0.939010	+	0.343889i	$0.888256\pi$
$318$	−0.637685	+	1.44054i	−0.0357596	+	0.0807815i
$319$	2.04094	−	1.06476i	0.114271	−	0.0596149i
$320$	−1.74254	+	4.30410i	−0.0974108	+	0.240607i
$321$	−3.66263	+	6.50337i	−0.204428	+	0.362983i
$322$	1.25633	−	3.78386i	0.0700125	−	0.210866i
$323$	−9.25167	+	10.8675i	−0.514776	+	0.604686i
$324$	0.708435	+	1.60037i	0.0393575	+	0.0889092i
$325$	−6.11235	−	4.87444i	−0.339052	−	0.270385i
$326$	1.76860	−	0.403671i	0.0979535	−	0.0223572i
$327$	0.605119	−	0.422105i	0.0334632	−	0.0233425i
$328$	−17.5190	+	6.44716i	−0.967326	+	0.355985i
$329$	9.44494	+	18.1042i	0.520716	+	0.998116i
$330$	2.48250	−	2.40417i	0.136657	−	0.132345i
$331$	−2.82776	−	3.11368i	−0.155428	−	0.171143i	0.657602	−	0.753366i	$-0.271571\pi$
$331$	−2.82776	−	3.11368i	−0.155428	−	0.171143i	−0.813029	+	0.582223i	$0.802183\pi$
$332$	−9.04243	−	6.74854i	−0.496268	−	0.370374i
$333$	3.73562	+	10.1509i	0.204711	+	0.556265i
$334$	−10.4699	+	3.47626i	−0.572890	+	0.190212i
$335$	−13.9778	+	23.0579i	−0.763691	+	1.25979i
$336$	−5.27618	+	0.169197i	−0.287839	+	0.00923044i
$337$	12.0428	−	7.30042i	0.656013	−	0.397679i	−0.150735	−	0.988574i	$-0.548164\pi$
$337$	12.0428	−	7.30042i	0.656013	−	0.397679i	0.806748	+	0.590895i	$0.201225\pi$
$338$	0.639223	+	2.43763i	0.0347691	+	0.132590i
$339$	−8.84768	−	5.75920i	−0.480540	−	0.312797i
$340$	5.38788	−	4.02108i	0.292199	−	0.218074i
$341$	16.4464	+	3.20294i	0.890625	+	0.173449i
$342$	−1.04017	−	3.13282i	−0.0562459	−	0.169404i
$343$	−18.6286	−	7.54188i	−1.00585	−	0.407223i
$344$	5.59299	+	3.90143i	0.301554	+	0.210351i
$345$	6.65948	+	1.74632i	0.358534	+	0.0940188i
$346$	−4.21364	+	0.681228i	−0.226527	+	0.0366231i
$347$	3.27857	+	4.70007i	0.176003	+	0.252313i	0.898413	−	0.439152i	$-0.144721\pi$
$347$	3.27857	+	4.70007i	0.176003	+	0.252313i	−0.722410	+	0.691465i	$0.756966\pi$
$348$	−0.197996	+	1.01667i	−0.0106137	+	0.0544991i
$349$	17.3679	+	5.15471i	0.929684	+	0.275925i	0.713684	−	0.700468i	$-0.247025\pi$
$349$	17.3679	+	5.15471i	0.929684	+	0.275925i	0.216000	+	0.976393i	$0.430699\pi$
$350$	1.40255	+	1.27375i	0.0749692	+	0.0680850i
$351$	3.55982	−	2.31719i	0.190009	−	0.123682i
$352$	6.75750	−	18.3623i	0.360176	−	0.978714i
$353$	−0.197927	+	6.17210i	−0.0105346	+	0.328508i	0.980630	+	0.195870i	$0.0627530\pi$
$353$	−0.197927	+	6.17210i	−0.0105346	+	0.328508i	−0.991165	+	0.132638i	$0.957655\pi$
$354$	0.967685	+	0.937151i	0.0514319	+	0.0498090i
$355$	6.16606	−	20.7755i	0.327260	−	1.10265i
$356$	−1.96709	−	1.19246i	−0.104255	−	0.0632003i
$357$	3.87784	+	2.18396i	0.205237	+	0.115588i
$358$	−2.74986	−	1.32426i	−0.145335	−	0.0699895i
$359$	−24.3643	+	7.23120i	−1.28590	+	0.381648i	−0.854000	−	0.520274i	$-0.825830\pi$
$359$	−24.3643	+	7.23120i	−1.28590	+	0.381648i	−0.431899	+	0.901922i	$0.642156\pi$
$360$	0.319935	+	3.31646i	0.0168620	+	0.174793i
$361$	−5.47704	−	23.9965i	−0.288265	−	1.26297i
$362$	−2.60220	−	3.48672i	−0.136769	−	0.183258i
$363$	2.87307	−	2.96668i	0.150797	−	0.155710i
$364$	2.92646	+	15.0267i	0.153388	+	0.787615i
$365$	1.05110	−	10.8957i	0.0550169	−	0.570308i
$366$	3.13927	−	0.404764i	0.164092	−	0.0211574i
$367$	3.93506	+	6.98709i	0.205408	+	0.364723i	0.954726	−	0.297488i	$-0.0961488\pi$
$367$	3.93506	+	6.98709i	0.205408	+	0.364723i	−0.749317	+	0.662211i	$0.769618\pi$
$368$	9.74552	−	1.89794i	0.508020	−	0.0989370i
$369$	6.69531	−	7.37228i	0.348544	−	0.383786i
$370$	0.308014	+	9.60500i	0.0160129	+	0.499340i
$371$	6.15990	+	2.04523i	0.319806	+	0.106183i
$372$	−5.74056	+	4.88701i	−0.297634	+	0.253380i
$373$	−16.0255	−	8.36051i	−0.829770	−	0.432891i	−0.00611505	−	0.999981i	$-0.501946\pi$
$373$	−16.0255	−	8.36051i	−0.829770	−	0.432891i	−0.823655	+	0.567091i	$0.808069\pi$
$374$	−3.28507	+	2.61976i	−0.169867	+	0.135464i
$375$	−7.58099	+	9.50626i	−0.391481	+	0.490901i
$376$	10.1397	−	15.5773i	0.522914	−	0.803337i
$377$	2.51247	+	0.0805700i	0.129399	+	0.00414957i
$378$	−0.896897	+	0.505123i	−0.0461314	+	0.0259807i
$379$	−13.1376	+	0.843461i	−0.674832	+	0.0433257i	−0.397713	−	0.917510i	$-0.630196\pi$
$379$	−13.1376	+	0.843461i	−0.674832	+	0.0433257i	−0.277119	+	0.960836i	$0.589380\pi$
$380$			20.5443i			1.05390i
$381$	−1.06087	−	16.5238i	−0.0543498	−	0.846542i
$382$	7.55434	+	0.728758i	0.386514	+	0.0372865i
$383$	−7.16949	−	11.0143i	−0.366344	−	0.562802i	0.606262	−	0.795265i	$-0.292668\pi$
$383$	−7.16949	−	11.0143i	−0.366344	−	0.562802i	−0.972605	+	0.232463i	$0.925321\pi$
$384$	5.89220	+	9.71981i	0.300685	+	0.496012i
$385$	−10.8416	−	9.22956i	−0.552537	−	0.470382i
$386$	1.09413	+	2.70252i	0.0556897	+	0.137555i
$387$	−3.60808	−	0.465210i	−0.183409	−	0.0236480i
$388$	−3.16145	+	13.8512i	−0.160498	+	0.703189i
$389$	28.0697	−	12.4256i	1.42319	−	0.630004i	0.457384	−	0.889270i	$-0.348787\pi$
$389$	28.0697	−	12.4256i	1.42319	−	0.630004i	0.965806	+	0.259266i	$0.0834805\pi$
$390$	3.65035	−	0.957233i	0.184842	−	0.0484714i
$391$	−7.85559	−	2.89093i	−0.397274	−	0.146201i
$392$	0.661353	+	5.12932i	0.0334033	+	0.259070i
$393$	21.2505			1.07194
$394$	−6.77192	+	1.83307i	−0.341164	+	0.0923490i
$395$	25.4923			1.28266
$396$	0.870537	+	6.75172i	0.0437462	+	0.339287i
$397$	−24.5661	−	9.04055i	−1.23294	−	0.453732i	−0.356067	−	0.934460i	$-0.615883\pi$
$397$	−24.5661	−	9.04055i	−1.23294	−	0.453732i	−0.876870	+	0.480728i	$0.840372\pi$
$398$	−0.384842	+	0.100917i	−0.0192904	+	0.00505853i
$399$	−12.4361	+	5.50511i	−0.622585	+	0.275600i
$400$	−1.04988	+	4.59980i	−0.0524938	+	0.229990i
$401$	−2.40938	−	0.310655i	−0.120319	−	0.0155134i	0.0674824	−	0.997720i	$-0.478503\pi$
$401$	−2.40938	−	0.310655i	−0.120319	−	0.0155134i	−0.187801	+	0.982207i	$0.560136\pi$
$402$	2.84546	+	7.02833i	0.141918	+	0.350541i
$403$	13.9321	+	11.8605i	0.694006	+	0.590816i
$404$	9.08454	+	14.9859i	0.451973	+	0.745576i
$405$	−0.969674	−	1.48968i	−0.0481835	−	0.0740228i
$406$	−0.606372	−	0.0584960i	−0.0300938	−	0.00290311i
$407$	2.69562	+	41.9864i	0.133617	+	2.08119i
$408$		−	4.05102i		−	0.200555i
$409$	8.70006	−	0.558562i	0.430190	−	0.0276191i	0.152531	−	0.988299i	$-0.451258\pi$
$409$	8.70006	−	0.558562i	0.430190	−	0.0276191i	0.277659	+	0.960680i	$0.410441\pi$
$410$	7.70940	−	4.34185i	0.380740	−	0.214429i
$411$	15.4206	+	0.494510i	0.760644	+	0.0243924i
$412$	−19.0653	+	29.2894i	−0.939279	+	1.44298i
$413$	3.46040	−	4.33921i	0.170275	−	0.213519i
$414$	1.51365	−	1.20709i	0.0743917	−	0.0593254i
$415$	10.1597	+	5.30032i	0.498721	+	0.260182i
$416$	16.2693	−	13.8502i	0.797666	−	0.679063i
$417$	8.63645	+	2.86750i	0.422929	+	0.140422i
$418$	−0.411539	−	12.8333i	−0.0201290	−	0.627697i
$419$	27.2901	−	30.0495i	1.33321	−	1.46801i	0.570449	−	0.821333i	$-0.306769\pi$
$419$	27.2901	−	30.0495i	1.33321	−	1.46801i	0.762762	−	0.646679i	$-0.223843\pi$
$420$	6.28824	−	1.22463i	0.306835	−	0.0597560i
$421$	3.27492	+	5.81495i	0.159610	+	0.283403i	0.939524	−	0.342483i	$-0.111268\pi$
$421$	3.27492	+	5.81495i	0.159610	+	0.283403i	−0.779914	+	0.625886i	$0.784737\pi$
$422$	−0.483851	+	0.0623857i	−0.0235535	+	0.00303689i
$423$	−0.952126	+	9.86979i	−0.0462940	+	0.479885i
$424$	−1.12935	−	5.79895i	−0.0548458	−	0.281622i
$425$	2.76725	−	2.85741i	0.134231	−	0.138605i
$426$	−3.64498	−	4.88394i	−0.176600	−	0.236627i
$427$	−2.90188	−	12.7140i	−0.140432	−	0.615271i
$428$	−1.25434	−	13.0025i	−0.0606306	−	0.628500i
$429$	15.8389	−	4.70089i	0.764708	−	0.226961i
$430$	−2.91207	−	1.40238i	−0.140433	−	0.0676288i
$431$	−14.4628	−	8.14528i	−0.696647	−	0.392344i	0.101476	−	0.994838i	$-0.467643\pi$
$431$	−14.4628	−	8.14528i	−0.696647	−	0.392344i	−0.798124	+	0.602493i	$0.794174\pi$
$432$	−2.19204	−	1.32883i	−0.105465	−	0.0639333i
$433$	−1.07537	+	3.62326i	−0.0516788	+	0.174123i	−0.980546	−	0.196290i	$-0.937110\pi$
$433$	−1.07537	+	3.62326i	−0.0516788	+	0.174123i	0.928867	+	0.370413i	$0.120784\pi$
$434$	−3.18522	−	3.08471i	−0.152895	−	0.148071i
$435$	0.0337161	−	1.05139i	0.00161657	−	0.0504105i
$436$	−0.445955	+	1.21180i	−0.0213574	+	0.0580349i
$437$	21.4377	−	13.9544i	1.02551	−	0.667530i
$438$	−2.27873	−	2.06948i	−0.108882	−	0.0988836i
$439$	10.5020	+	3.11695i	0.501235	+	0.148764i	0.525251	−	0.850948i	$-0.323972\pi$
$439$	10.5020	+	3.11695i	0.501235	+	0.148764i	−0.0240154	+	0.999712i	$0.507645\pi$
$440$	−2.47741	+	12.7210i	−0.118106	+	0.606448i
$441$	−1.57849	−	2.26288i	−0.0751662	−	0.107756i
$442$	−4.52950	+	0.732294i	−0.215446	+	0.0348317i
$443$	−19.2570	−	5.04979i	−0.914930	−	0.239923i	−0.233970	−	0.972244i	$-0.575172\pi$
$443$	−19.2570	−	5.04979i	−0.914930	−	0.239923i	−0.680960	+	0.732321i	$0.738437\pi$
$444$	−15.5262	−	10.8304i	−0.736843	−	0.513990i
$445$	2.16547	+	0.876701i	0.102653	+	0.0415596i
$446$	−1.72743	−	5.20275i	−0.0817963	−	0.246358i
$447$	2.07503	+	0.404112i	0.0981456	+	0.0191138i
$448$	4.31149	−	3.21775i	0.203699	−	0.152024i
$449$	27.6503	+	17.9983i	1.30490	+	0.849394i	0.994853	−	0.101328i	$-0.0323091\pi$
$449$	27.6503	+	17.9983i	1.30490	+	0.849394i	0.310044	+	0.950722i	$0.399656\pi$
$450$	0.233363	+	0.889915i	0.0110008	+	0.0419510i
$451$	33.1256	−	20.0809i	1.55982	−	0.945573i
$452$	18.4669	−	0.592197i	0.868609	−	0.0278546i
$453$	2.09537	−	3.45653i	0.0984489	−	0.162402i
$454$	9.86917	−	3.27679i	0.463183	−	0.153787i
$455$	−5.36973	−	14.5913i	−0.251737	−	0.684050i
$456$	9.92088	+	7.40415i	0.464588	+	0.346731i
$457$	−13.3540	−	14.7042i	−0.624674	−	0.687835i	0.343203	−	0.939261i	$-0.388488\pi$
$457$	−13.3540	−	14.7042i	−0.624674	−	0.687835i	−0.967876	+	0.251426i	$0.919100\pi$
$458$	−5.49317	+	5.31984i	−0.256679	+	0.248580i
$459$	0.999606	+	1.91606i	0.0466576	+	0.0894339i
$460$	−11.3078	+	4.16137i	−0.527229	+	0.194025i
$461$	−4.20386	+	2.93243i	−0.195793	+	0.136577i	−0.665923	−	0.746020i	$-0.731962\pi$
$461$	−4.20386	+	2.93243i	−0.195793	+	0.136577i	0.470130	+	0.882597i	$0.344207\pi$
$462$	−3.90351	+	0.890951i	−0.181608	+	0.0414508i
$463$	−2.59701	−	2.07105i	−0.120693	−	0.0962497i	0.561283	−	0.827624i	$-0.310308\pi$
$463$	−2.59701	−	2.07105i	−0.120693	−	0.0962497i	−0.681976	+	0.731374i	$0.738879\pi$
$464$	−0.614071	−	1.38720i	−0.0285075	−	0.0643990i
$465$	4.96329	−	5.83016i	0.230167	−	0.270367i
$466$	1.69223	−	5.09673i	0.0783911	−	0.236102i
$467$	−19.1975	+	34.0872i	−0.888356	+	1.57737i	−0.0738054	+	0.997273i	$0.523514\pi$
$467$	−19.1975	+	34.0872i	−0.888356	+	1.57737i	−0.814550	+	0.580093i	$0.803016\pi$
$468$	−2.78969	+	6.89059i	−0.128954	+	0.318518i
$469$	27.6973	−	14.4497i	1.27894	−	0.667224i
$470$	−3.56598	+	8.05560i	−0.164486	+	0.371577i
$471$	9.10852	+	18.9140i	0.419699	+	0.871513i
$472$	−4.98706	−	0.806270i	−0.229548	−	0.0371116i
$473$	−12.9394	−	5.72791i	−0.594956	−	0.263369i
$474$	4.28767	−	5.74509i	0.196939	−	0.263881i
$475$	1.93999	+	11.9995i	0.0890129	+	0.550576i
$476$	−7.75316	+	0.747938i	−0.355366	+	0.0342817i
$477$	1.96508	+	2.46413i	0.0899746	+	0.112825i
$478$	−6.72502	−	1.53494i	−0.307595	−	0.0702066i
$479$	−17.6658	+	7.15209i	−0.807171	+	0.326787i	−0.741414	−	0.671048i	$-0.765844\pi$
$479$	−17.6658	+	7.15209i	−0.807171	+	0.326787i	−0.0657576	+	0.997836i	$0.520946\pi$
$480$	−5.79591	−	6.80820i	−0.264546	−	0.310750i
$481$	−19.9341	+	41.3935i	−0.908916	+	1.88738i
$482$	−1.58452	+	2.27152i	−0.0721728	+	0.103465i
$483$	−5.54909	−	5.72989i	−0.252492	−	0.260719i
$484$	−1.15357	+	7.13525i	−0.0524351	+	0.324329i
$485$	0.924481	−	14.3995i	0.0419785	−	0.653849i
$486$	−0.498816	−	0.0320250i	−0.0226267	−	0.00145268i
$487$	−38.7829	+	18.6768i	−1.75742	+	0.846328i	−0.782860	+	0.622198i	$0.786240\pi$
$487$	−38.7829	+	18.6768i	−1.75742	+	0.846328i	−0.974559	+	0.224130i	$0.928046\pi$
$488$	−8.78726	+	7.98036i	−0.397781	+	0.361254i
$489$	0.920589	−	3.51060i	0.0416305	−	0.158755i
$490$	−0.697458	−	2.34997i	−0.0315079	−	0.106161i
$491$	10.2028	−	19.5569i	0.460448	−	0.882593i	−0.538747	−	0.842468i	$-0.681102\pi$
$491$	10.2028	−	19.5569i	0.460448	−	0.882593i	0.999195	−	0.0401249i	$-0.0127756\pi$
$492$	−2.22883	+	17.2864i	−0.100483	+	0.779330i
$493$	−0.163553	+	1.26849i	−0.00736607	+	0.0571298i
$494$	6.48531	−	12.4311i	0.291788	−	0.559302i
$495$	−1.96718	−	6.62810i	−0.0884183	−	0.297911i
$496$	2.80086	−	10.6809i	0.125762	−	0.479586i
$497$	−18.5869	+	16.8801i	−0.833737	+	0.757178i
$498$	2.90332	−	1.39816i	0.130101	−	0.0626532i
$499$	−19.2815	−	1.23792i	−0.863160	−	0.0554167i	−0.373811	−	0.927505i	$-0.621949\pi$
$499$	−19.2815	−	1.23792i	−0.863160	−	0.0554167i	−0.489349	+	0.872088i	$0.662765\pi$
$500$	1.36342	−	21.2364i	0.0609740	−	0.949720i
$501$	−3.52251	+	21.7879i	−0.157374	+	0.973414i
$502$	−2.54899	−	2.63204i	−0.113767	−	0.117474i
$503$	5.52211	−	7.91636i	0.246219	−	0.352973i	−0.677849	−	0.735201i	$-0.737088\pi$
$503$	5.52211	−	7.91636i	0.246219	−	0.352973i	0.924068	+	0.382228i	$0.124843\pi$
$504$	1.67490	−	3.47796i	0.0746059	−	0.154921i
$505$	−11.5371	−	13.5522i	−0.513396	−	0.603064i
$506$	6.98023	−	2.82598i	0.310309	−	0.125630i
$507$	4.91528	+	1.12188i	0.218295	+	0.0498245i
$508$	18.0680	+	22.6566i	0.801639	+	1.00522i
$509$	−15.6031	+	1.50521i	−0.691596	+	0.0667175i	−0.435840	−	0.900024i	$-0.643549\pi$
$509$	−15.6031	+	1.50521i	−0.691596	+	0.0667175i	−0.255756	+	0.966741i	$0.582324\pi$
$510$	0.306443	+	1.89546i	0.0135695	+	0.0839324i
$511$	−7.58539	+	10.1637i	−0.335558	+	0.449617i
$512$	−20.5783	−	9.10940i	−0.909441	−	0.402582i
$513$	−6.51941	−	1.05401i	−0.287839	−	0.0465355i
$514$	1.33548	+	2.77316i	0.0589057	+	0.122319i
$515$	14.3671	−	32.4555i	0.633090	−	1.43016i
$516$	5.64495	−	2.94497i	0.248505	−	0.129645i
$517$	−14.4736	+	35.7501i	−0.636549	+	1.57229i
$518$	5.46363	−	9.70123i	0.240058	−	0.426248i
$519$	−2.69083	+	8.10436i	−0.118114	+	0.355742i
$520$	−9.17387	+	10.7762i	−0.402301	+	0.472565i
$521$	10.8950	+	24.6120i	0.477320	+	1.07827i	0.977227	+	0.212195i	$0.0680611\pi$
$521$	10.8950	+	24.6120i	0.477320	+	1.07827i	−0.499908	+	0.866079i	$0.666633\pi$
$522$	−0.231277	−	0.184437i	−0.0101227	−	0.00807259i
$523$	−22.1555	+	5.05684i	−0.968791	+	0.221120i	−0.677507	−	0.735517i	$-0.736940\pi$
$523$	−22.1555	+	5.05684i	−0.968791	+	0.221120i	−0.291284	+	0.956637i	$0.594082\pi$
$524$	−30.5036	+	21.2780i	−1.33256	+	0.929533i
$525$	3.55720	−	1.30908i	0.155249	−	0.0571331i
$526$	−5.55683	−	10.6514i	−0.242289	−	0.464423i
$527$	−6.68736	+	6.47635i	−0.291306	+	0.282114i
$528$	−6.70334	−	7.38113i	−0.291726	−	0.321222i
$529$	−6.40951	−	4.78354i	−0.278674	−	0.207980i
$530$	0.967085	+	2.62788i	0.0420075	+	0.114148i
$531$	2.55774	−	0.849229i	0.110997	−	0.0368534i
$532$	12.3390	−	20.3544i	0.534962	−	0.882476i
$533$	42.2788	−	1.35580i	1.83130	−	0.0587262i
$534$	0.561798	−	0.340565i	0.0243114	−	0.0147377i
$535$	3.36517	+	12.8329i	0.145489	+	0.554813i
$536$	−23.8315	−	15.5126i	−1.02936	−	0.670041i
$537$	−4.89356	+	3.65216i	−0.211173	+	0.157602i
$538$	−14.4859	−	2.82114i	−0.624533	−	0.121628i
$539$	−3.38169	−	10.1851i	−0.145660	−	0.438704i
$540$	2.88351	+	1.16740i	0.124086	+	0.0502370i
$541$	14.9484	+	10.4274i	0.642683	+	0.448308i	0.847718	−	0.530447i	$-0.177976\pi$
$541$	14.9484	+	10.4274i	0.642683	+	0.448308i	−0.205035	+	0.978755i	$0.565731\pi$
$542$	2.26301	+	0.593431i	0.0972045	+	0.0254900i
$543$	−8.59258	+	1.38918i	−0.368743	+	0.0596155i
$544$	6.21950	+	8.91613i	0.266659	+	0.382276i
$545$	0.250688	−	1.28723i	0.0107383	−	0.0551388i
$546$	−4.19153	−	1.24402i	−0.179381	−	0.0532393i
$547$	−20.8261	−	18.9137i	−0.890460	−	0.808692i	0.0918850	−	0.995770i	$-0.470711\pi$
$547$	−20.8261	−	18.9137i	−0.890460	−	0.808692i	−0.982345	+	0.187077i	$0.940099\pi$
$548$	−22.6304	+	14.7308i	−0.966723	+	0.629267i
$549$	2.18703	−	5.94286i	0.0933401	−	0.253635i
$550$	−0.114698	+	3.57671i	−0.00489075	+	0.152511i
$551$	−2.80758	−	2.71899i	−0.119607	−	0.115833i
$552$	−2.06579	+	6.96032i	−0.0879257	+	0.296251i
$553$	−25.2567	−	15.3108i	−1.07403	−	0.651081i
$554$	−2.32847	−	1.31137i	−0.0989270	−	0.0557147i
$555$	17.3220	+	8.34182i	0.735277	+	0.354091i
$556$	−15.2682	+	4.53153i	−0.647517	+	0.192180i
$557$	3.02221	+	31.3284i	0.128055	+	1.32743i	0.805826	+	0.592153i	$0.201722\pi$
$557$	3.02221	+	31.3284i	0.128055	+	1.32743i	−0.677770	+	0.735274i	$0.737054\pi$
$558$	−0.479118	−	2.09915i	−0.0202827	−	0.0888642i
$559$	−9.24221	−	12.3837i	−0.390904	−	0.523776i
$560$	−6.52765	+	6.74034i	−0.275844	+	0.284831i
$561$	1.60691	+	8.25116i	0.0678439	+	0.348364i
$562$	0.898222	−	9.31101i	0.0378892	−	0.392761i
$563$	−9.52544	+	1.22817i	−0.401449	+	0.0517612i	−0.325956	−	0.945385i	$-0.605686\pi$
$563$	−9.52544	+	1.22817i	−0.401449	+	0.0517612i	−0.0754939	+	0.997146i	$0.524053\pi$
$564$	−8.51585	−	15.1207i	−0.358582	−	0.636698i
$565$	−18.4187	+	3.58704i	−0.774881	+	0.150908i
$566$	−6.06511	+	6.67836i	−0.254936	+	0.280713i
$567$	0.0660057	+	2.05830i	0.00277198	+	0.0864406i
$568$	21.6897	+	7.20149i	0.910081	+	0.302168i
$569$	5.23905	−	4.46007i	0.219632	−	0.186976i	−0.531635	−	0.846973i	$-0.678422\pi$
$569$	5.23905	−	4.46007i	0.219632	−	0.186976i	0.751268	+	0.659998i	$0.229443\pi$
$570$	−5.20205	−	2.71391i	−0.217890	−	0.113673i
$571$	−21.1908	+	16.8991i	−0.886807	+	0.707205i	−0.956925	−	0.290334i	$-0.906234\pi$
$571$	−21.1908	+	16.8991i	−0.886807	+	0.707205i	0.0701188	+	0.997539i	$0.477662\pi$
$572$	−18.0286	+	22.6072i	−0.753814	+	0.945253i
$573$	8.28318	−	12.7252i	0.346035	−	0.531602i
$574$	−10.2459	−	0.328566i	−0.427655	−	0.0137141i
$575$	−6.21172	+	3.49837i	−0.259046	+	0.145892i
$576$	2.60703	−	0.167377i	0.108626	−	0.00697403i
$577$			10.9003i			0.453784i	0.973920	+	0.226892i	$0.0728564\pi$
$577$			10.9003i			0.453784i	−0.973920	+	0.226892i	$0.927144\pi$
$578$	0.394853	+	6.15015i	0.0164237	+	0.255813i
$579$	5.80609	+	0.560106i	0.241293	+	0.0232772i
$580$	1.00436	+	1.54296i	0.0417037	+	0.0640680i
$581$	−6.88244	−	11.3533i	−0.285532	−	0.471014i
$582$	−3.08966	−	2.63027i	−0.128071	−	0.109028i
$583$	4.60053	+	11.3634i	0.190534	+	0.470624i
$584$	11.4490	+	1.47618i	0.473762	+	0.0610849i
$585$	1.68001	−	7.36062i	0.0694600	−	0.304324i
$586$	−3.15050	+	1.39463i	−0.130146	+	0.0576117i
$587$	17.6886	−	4.63851i	0.730088	−	0.191452i	0.130146	−	0.991495i	$-0.458455\pi$
$587$	17.6886	−	4.63851i	0.730088	−	0.191452i	0.599942	+	0.800043i	$0.295190\pi$
$588$	4.53163	+	1.66768i	0.186881	+	0.0687740i
$589$	−3.63783	−	28.2143i	−0.149894	−	1.16255i
$590$	2.39443			0.0985770
$591$	−3.01508	+	13.7080i	−0.124024	+	0.563872i
$592$	27.7265			1.13955
$593$	−2.75119	−	21.3377i	−0.112978	−	0.876234i	−0.946265	−	0.323393i	$-0.895176\pi$
$593$	−2.75119	−	21.3377i	−0.112978	−	0.876234i	0.833287	−	0.552841i	$-0.186456\pi$
$594$	−1.82461	−	0.671474i	−0.0748647	−	0.0275509i
$595$	7.65201	−	2.00659i	0.313702	−	0.0822623i
$596$	−3.38320	+	1.49764i	−0.138581	+	0.0613458i
$597$	−0.177117	+	0.776002i	−0.00724893	+	0.0317596i
$598$	8.15586	+	1.05158i	0.333518	+	0.0430024i
$599$	0.142722	+	0.352527i	0.00583148	+	0.0144039i	0.929805	−	0.368054i	$-0.119976\pi$
$599$	0.142722	+	0.352527i	0.00583148	+	0.0144039i	−0.923973	+	0.382458i	$0.875078\pi$
$600$	−2.62711	−	2.23649i	−0.107251	−	0.0913044i
$601$	−2.55184	−	4.20953i	−0.104092	−	0.171710i	0.798776	−	0.601628i	$-0.205481\pi$
$601$	−2.55184	−	4.20953i	−0.104092	−	0.171710i	−0.902868	+	0.429918i	$0.858542\pi$
$602$	2.04289	+	3.13842i	0.0832618	+	0.127913i
$603$	15.0996	+	1.45664i	0.614905	+	0.0593192i
$604$	0.453246	+	7.05968i	0.0184423	+	0.287254i
$605$		−	7.34071i		−	0.298442i
$606$	−4.99467	+	0.320669i	−0.202895	+	0.0130263i
$607$	−6.74546	+	3.79897i	−0.273790	+	0.154196i	−0.621518	−	0.783400i	$-0.713484\pi$
$607$	−6.74546	+	3.79897i	−0.273790	+	0.154196i	0.347728	+	0.937595i	$0.386953\pi$
$608$	−33.2030	−	1.06476i	−1.34656	−	0.0431816i
$609$	−0.664875	+	1.02143i	−0.0269421	+	0.0413903i
$610$	3.50786	−	4.39871i	0.142029	−	0.178099i
$611$	−32.9284	+	26.2595i	−1.33214	+	1.06235i
$612$	−3.35340	−	1.74947i	−0.135553	−	0.0707180i
$613$	−5.85326	+	4.98296i	−0.236411	+	0.201260i	−0.758576	−	0.651585i	$-0.774104\pi$
$613$	−5.85326	+	4.98296i	−0.236411	+	0.201260i	0.522164	+	0.852845i	$0.325125\pi$
$614$	12.8935	+	4.28094i	0.520340	+	0.172765i
$615$	−0.567361	−	17.6924i	−0.0228782	−	0.713427i
$616$	10.0948	−	11.1155i	0.406730	−	0.447855i
$617$	−39.6744	+	7.72659i	−1.59723	+	0.311061i	−0.909755	−	0.415146i	$-0.863730\pi$
$617$	−39.6744	+	7.72659i	−1.59723	+	0.311061i	−0.687476	+	0.726207i	$0.741281\pi$
$618$	−4.89788	−	8.69669i	−0.197022	−	0.349832i
$619$	23.3298	−	3.00805i	0.937706	−	0.120904i	0.356167	−	0.934422i	$-0.384083\pi$
$619$	23.3298	−	3.00805i	0.937706	−	0.120904i	0.581539	+	0.813519i	$0.302451\pi$
$620$	−1.28675	+	13.3385i	−0.0516771	+	0.535687i
$621$	−0.740410	−	3.80185i	−0.0297116	−	0.152563i
$622$	0.488929	−	0.504860i	0.0196043	−	0.0202430i
$623$	−1.61891	−	2.16919i	−0.0648601	−	0.0869067i
$624$	−2.42281	−	10.6150i	−0.0969902	−	0.424942i
$625$	1.19158	+	12.3520i	0.0476632	+	0.494078i
$626$	−11.5372	+	3.42417i	−0.461118	+	0.136857i
$627$	−23.1440	−	11.1456i	−0.924281	−	0.445111i
$628$	−32.0132	−	18.0295i	−1.27746	−	0.719455i
$629$	−19.9896	−	12.1178i	−0.797037	−	0.483169i
$630$	−0.520587	+	1.75403i	−0.0207407	+	0.0698822i
$631$	−27.1040	−	26.2488i	−1.07899	−	1.04495i	−0.998839	−	0.0481638i	$-0.984663\pi$
$631$	−27.1040	−	26.2488i	−1.07899	−	1.04495i	−0.0801534	−	0.996783i	$-0.525541\pi$
$632$	−0.861666	+	26.8699i	−0.0342752	+	1.06883i
$633$	−0.337083	+	0.915964i	−0.0133979	+	0.0364063i
$634$	−1.45573	+	0.947576i	−0.0578145	+	0.0376331i
$635$	−21.7873	−	19.7866i	−0.864601	−	0.785207i
$636$	−5.28805	−	1.56946i	−0.209685	−	0.0622333i
$637$	2.24022	−	11.5030i	0.0887606	−	0.455767i
$638$	−0.658295	−	0.943715i	−0.0260622	−	0.0373621i
$639$	−12.0359	+	1.94586i	−0.476131	+	0.0769772i
$640$	19.5425	+	5.12466i	0.772487	+	0.202570i
$641$	8.19802	+	5.71858i	0.323802	+	0.225870i	0.722760	−	0.691099i	$-0.242873\pi$
$641$	8.19802	+	5.71858i	0.323802	+	0.225870i	−0.398958	+	0.916969i	$0.630628\pi$
$642$	3.45808	+	1.40002i	0.136480	+	0.0552545i
$643$	−1.59923	−	4.81663i	−0.0630675	−	0.189949i	0.912758	−	0.408501i	$-0.133948\pi$
$643$	−1.59923	−	4.81663i	−0.0630675	−	0.189949i	−0.975825	+	0.218552i	$0.929867\pi$
$644$	13.7026	+	2.66859i	0.539959	+	0.105157i
$645$	−5.18222	+	3.86759i	−0.204050	+	0.152286i
$646$	5.97881	+	3.89178i	0.235233	+	0.153120i
$647$	2.77601	+	10.5861i	0.109136	+	0.416184i	0.999215	−	0.0396234i	$-0.0126158\pi$
$647$	2.77601	+	10.5861i	0.109136	+	0.416184i	−0.890078	+	0.455808i	$0.849351\pi$
$648$	1.60296	−	0.971721i	0.0629700	−	0.0381728i
$649$	10.4775	−	0.335994i	0.411279	−	0.0131889i
$650$	−2.02576	+	3.34170i	−0.0794567	+	0.131072i
$651$	−8.41903	+	2.79531i	−0.329968	+	0.109557i
$652$	2.19371	+	5.96101i	0.0859121	+	0.233451i
$653$	−11.5379	−	8.61098i	−0.451514	−	0.336974i	0.348132	−	0.937446i	$-0.386816\pi$
$653$	−11.5379	−	8.61098i	−0.451514	−	0.336974i	−0.799646	+	0.600472i	$0.794979\pi$
$654$	−0.247932	−	0.273001i	−0.00969492	−	0.0106752i
$655$	27.1336	−	26.2774i	1.06020	−	1.02674i
$656$	−11.8077	−	22.6332i	−0.461013	−	0.883676i
$657$	−5.77942	+	2.12688i	−0.225477	+	0.0829774i
$658$	8.37124	−	5.83942i	0.326345	−	0.227644i
$659$	47.0222	−	10.7325i	1.83172	−	0.418079i	0.839585	−	0.543228i	$-0.182798\pi$
$659$	47.0222	−	10.7325i	1.83172	−	0.418079i	0.992138	+	0.125149i	$0.0399410\pi$
$660$	9.46043	+	7.54444i	0.368247	+	0.293667i
$661$	8.08167	+	18.2566i	0.314341	+	0.710101i	0.999838	−	0.0179737i	$-0.00572151\pi$
$661$	8.08167	+	18.2566i	0.314341	+	0.710101i	−0.685498	+	0.728075i	$0.740415\pi$
$662$	−1.36283	+	1.60085i	−0.0529677	+	0.0622189i
$663$	−2.89254	+	8.71187i	−0.112337	+	0.338341i
$664$	−5.93015	+	10.5296i	−0.230134	+	0.408627i
$665$	−9.07166	+	22.4072i	−0.351784	+	0.868913i
$666$	4.79341	−	2.50072i	0.185741	−	0.0969010i
$667$	0.927868	−	2.09607i	0.0359272	−	0.0811601i
$668$	−16.7598	−	34.8021i	−0.648457	−	1.34654i
$669$	−10.8269	−	1.75041i	−0.418593	−	0.0676749i
$670$	12.3241	+	5.45554i	0.476123	+	0.210766i
$671$	14.7324	−	19.7401i	0.568740	−	0.762059i
$672$	1.65331	+	10.2263i	0.0637779	+	0.394489i
$673$	41.3974	−	3.99356i	1.59575	−	0.153940i	0.740465	−	0.672095i	$-0.234605\pi$
$673$	41.3974	−	3.99356i	1.59575	−	0.153940i	0.855287	+	0.518154i	$0.173381\pi$
$674$	−4.38886	−	5.50345i	−0.169052	−	0.211985i
$675$	1.79444	+	0.409569i	0.0690680	+	0.0157643i
$676$	−8.17888	+	3.31126i	−0.314572	+	0.127356i
$677$	20.1576	+	23.6782i	0.774718	+	0.910028i	0.997902	−	0.0647484i	$-0.0206245\pi$
$677$	20.1576	+	23.6782i	0.774718	+	0.910028i	−0.223183	+	0.974776i	$0.571645\pi$
$678$	−2.28953	+	4.75426i	−0.0879288	+	0.182586i
$679$	−9.56435	+	13.7112i	−0.367046	+	0.526188i
$680$	−5.00931	−	5.17253i	−0.192098	−	0.198357i
$681$	3.32038	−	20.5377i	0.127237	−	0.787008i
$682$	0.536593	−	8.35787i	0.0205472	−	0.320039i
$683$	−6.06625	−	0.389466i	−0.232119	−	0.0149025i	−0.0524239	−	0.998625i	$-0.516695\pi$
$683$	−6.06625	−	0.389466i	−0.232119	−	0.0149025i	−0.179695	+	0.983722i	$0.557511\pi$
$684$	10.4135	−	5.01489i	0.398171	−	0.191749i
$685$	20.3013	−	18.4371i	0.775672	−	0.704445i
$686$	−2.54809	+	9.71698i	−0.0972866	+	0.370996i
$687$	4.35290	+	14.6664i	0.166073	+	0.559556i
$688$	−4.31334	+	8.26787i	−0.164445	+	0.315210i
$689$	−1.71191	+	13.2773i	−0.0652187	+	0.505823i
$690$	0.440056	−	3.41298i	0.0167526	−	0.129930i
$691$	−2.39657	+	4.59378i	−0.0911699	+	0.174756i	−0.927868	−	0.372909i	$-0.878360\pi$
$691$	−2.39657	+	4.59378i	−0.0911699	+	0.174756i	0.836698	+	0.547664i	$0.184483\pi$
$692$	−4.25234	−	14.3276i	−0.161650	−	0.544652i
$693$	−2.03185	+	7.74834i	−0.0771837	+	0.294335i
$694$	2.12045	−	1.92573i	0.0804911	−	0.0730999i
$695$	14.5733	−	7.01811i	0.552795	−	0.266212i
$696$	1.10707	+	0.0710762i	0.0419634	+	0.00269414i
$697$	−1.37894	+	21.4781i	−0.0522310	+	0.813539i
$698$	1.44526	−	8.93944i	0.0547039	−	0.338363i
$699$	−7.47443	−	7.71796i	−0.282709	−	0.291920i
$700$	−3.79534	+	5.44090i	−0.143450	+	0.205647i
$701$	6.82105	−	14.1641i	0.257627	−	0.534969i	−0.731533	−	0.681806i	$-0.761195\pi$
$701$	6.82105	−	14.1641i	0.257627	−	0.534969i	0.989161	+	0.146837i	$0.0469092\pi$
$702$	−1.37626	−	1.61663i	−0.0519435	−	0.0610158i
$703$	66.2119	−	26.8062i	2.49723	−	1.01102i
$704$	9.90669	+	2.26114i	0.373372	+	0.0852198i
$705$	10.9888	+	13.7796i	0.413864	+	0.518968i
$706$	3.07240	−	0.296391i	0.115631	−	0.0111548i
$707$	3.29103	+	20.3562i	0.123772	+	0.765573i
$708$	−2.82113	+	3.78006i	−0.106025	+	0.142063i
$709$	10.2050	+	4.51746i	0.383258	+	0.169657i	0.587424	−	0.809279i	$-0.300142\pi$
$709$	10.2050	+	4.51746i	0.383258	+	0.169657i	−0.204166	+	0.978936i	$0.565448\pi$
$710$	−10.6933	−	1.72882i	−0.401314	−	0.0648813i
$711$	−6.22271	−	12.9216i	−0.233370	−	0.484598i
$712$	−0.997272	+	2.25285i	−0.0373743	+	0.0844293i
$713$	14.7926	−	7.71727i	0.553986	−	0.289014i
$714$	0.834809	−	2.06199i	0.0312419	−	0.0771682i
$715$	14.4109	−	25.5880i	0.538937	−	0.956937i
$716$	3.36748	−	10.1423i	0.125849	−	0.379036i
$717$	−8.94573	+	10.5082i	−0.334084	+	0.392434i
$718$	5.14212	+	11.6161i	0.191902	+	0.433510i
$719$	4.59690	+	3.66590i	0.171435	+	0.136715i	0.705449	−	0.708761i	$-0.250745\pi$
$719$	4.59690	+	3.66590i	0.171435	+	0.136715i	−0.534014	+	0.845476i	$0.679317\pi$
$720$	−4.44208	+	1.01388i	−0.165546	+	0.0377849i
$721$	−33.7272	+	23.5267i	−1.25607	+	0.876179i
$722$	−11.5459	+	4.24900i	−0.429694	+	0.158131i
$723$	2.56287	+	4.91254i	0.0953142	+	0.182699i
$724$	10.9431	−	10.5978i	0.406696	−	0.393863i
$725$	0.732328	+	0.806374i	0.0271980	+	0.0299480i
$726$	−1.65434	−	1.23467i	−0.0613983	−	0.0458228i
$727$	9.68899	+	26.3281i	0.359345	+	0.976456i	0.981144	+	0.193279i	$0.0619122\pi$
$727$	9.68899	+	26.3281i	0.359345	+	0.976456i	−0.621799	+	0.783177i	$0.713598\pi$
$728$	15.5613	−	5.16670i	0.576740	−	0.191491i
$729$	−0.518393	+	0.855143i	−0.0191997	+	0.0316720i
$730$	−5.46862	+	0.175368i	−0.202403	+	0.00649066i
$731$	6.72319	−	4.07564i	0.248666	−	0.150743i
$732$	2.81123	+	10.7204i	0.103906	+	0.396238i
$733$	34.9452	+	22.7468i	1.29073	+	0.840173i	0.993411	−	0.114605i	$-0.0365603\pi$
$733$	34.9452	+	22.7468i	1.29073	+	0.840173i	0.297320	+	0.954778i	$0.403907\pi$
$734$	3.21225	−	2.39737i	0.118566	−	0.0884884i
$735$	−4.81368	−	0.937463i	−0.177555	−	0.0345789i
$736$	−6.13943	−	18.4910i	−0.226302	−	0.681587i
$737$	54.6936	+	22.1430i	2.01466	+	0.815647i
$738$	−4.08268	−	2.84790i	−0.150286	−	0.104833i
$739$	13.6186	+	3.57122i	0.500969	+	0.131369i	0.495487	−	0.868616i	$-0.334990\pi$
$739$	13.6186	+	3.57122i	0.500969	+	0.131369i	0.00548195	+	0.999985i	$0.498255\pi$
$740$	−33.2171	+	5.37028i	−1.22108	+	0.197416i
$741$	−16.0485	−	23.0067i	−0.589556	−	0.845173i
$742$	0.620168	−	3.18443i	0.0227671	−	0.116904i
$743$	9.51658	+	2.82447i	0.349129	+	0.103620i	0.454335	−	0.890831i	$-0.349877\pi$
$743$	9.51658	+	2.82447i	0.349129	+	0.103620i	−0.105206	+	0.994450i	$0.533550\pi$
$744$	5.97745	+	5.42856i	0.219144	+	0.199021i
$745$	3.14920	−	2.04990i	0.115378	−	0.0751027i
$746$	−3.12030	+	8.47887i	−0.114242	+	0.310434i
$747$	0.206633	−	6.44359i	0.00756032	−	0.235759i
$748$	−10.5684	−	10.2350i	−0.386421	−	0.374228i
$749$	4.37339	−	14.7354i	0.159800	−	0.538420i
$750$	5.19719	+	3.15057i	0.189775	+	0.115042i
$751$	11.5810	+	6.52229i	0.422596	+	0.238002i	0.687368	−	0.726309i	$-0.258766\pi$
$751$	11.5810	+	6.52229i	0.422596	+	0.238002i	−0.264772	+	0.964311i	$0.585297\pi$
$752$	22.9002	+	11.0282i	0.835085	+	0.402156i
$753$	−7.02734	+	2.08568i	−0.256091	+	0.0760064i
$754$	−0.120651	−	1.25068i	−0.00439387	−	0.0455470i
$755$	−1.59873	−	7.00449i	−0.0581838	−	0.254920i
$756$	−2.15571	−	2.88846i	−0.0784025	−	0.105052i
$757$	19.9025	−	20.5510i	0.723370	−	0.746939i	−0.251949	−	0.967741i	$-0.581071\pi$
$757$	19.9025	−	20.5510i	0.723370	−	0.746939i	0.975319	+	0.220802i	$0.0708673\pi$
$758$	1.25787	+	6.45890i	0.0456879	+	0.234598i
$759$	1.44667	−	14.9963i	0.0525110	−	0.544331i
$760$	21.8231	−	2.81378i	0.791607	−	0.102066i
$761$	−13.8823	−	24.6495i	−0.503234	−	0.893542i	−0.999676	−	0.0254722i	$-0.991891\pi$
$761$	−13.8823	−	24.6495i	−0.503234	−	0.893542i	0.496442	−	0.868070i	$-0.334640\pi$
$762$	−8.12371	+	1.58209i	−0.294291	+	0.0573131i
$763$	−1.02149	+	1.12477i	−0.0369802	+	0.0407194i
$764$	0.851728	+	26.5600i	0.0308144	+	0.960908i
$765$	3.64566	+	1.21044i	0.131809	+	0.0437636i
$766$	−5.00193	+	4.25821i	−0.180727	+	0.153855i
$767$	10.1492	+	5.29482i	0.366466	+	0.191185i
$768$	0.356964	−	0.284669i	0.0128808	−	0.0102721i
$769$	−12.6852	+	15.9068i	−0.457441	+	0.573613i	−0.956046	−	0.293217i	$-0.905274\pi$
$769$	−12.6852	+	15.9068i	−0.457441	+	0.573613i	0.498605	+	0.866829i	$0.333846\pi$
$770$	−3.88248	+	5.96453i	−0.139915	+	0.214947i
$771$	6.15473	+	0.197370i	0.221657	+	0.00710811i
$772$	−8.89507	+	5.00961i	−0.320141	+	0.180300i
$773$	27.4261	−	1.76081i	0.986447	−	0.0633320i	0.437525	−	0.899206i	$-0.355855\pi$
$773$	27.4261	−	1.76081i	0.986447	−	0.0633320i	0.548921	+	0.835874i	$0.315039\pi$
$774$			1.81840i			0.0653610i
$775$	0.507985	+	7.91227i	0.0182474	+	0.284217i
$776$	15.1464	+	1.46116i	0.543725	+	0.0524525i
$777$	−12.1518	−	18.6684i	−0.435942	−	0.669724i
$778$	−7.95403	−	13.1210i	−0.285166	−	0.470411i
$779$	−50.0792	−	42.6330i	−1.79427	−	1.52749i
$780$	4.95860	+	12.2478i	0.177546	+	0.438543i
$781$	−47.0346	−	6.06443i	−1.68303	−	0.217003i
$782$	−0.931029	+	4.07911i	−0.0332935	+	0.145869i
$783$	−0.541162	+	0.239556i	−0.0193396	+	0.00856105i
$784$	−6.84111	+	1.79395i	−0.244325	+	0.0640697i
$785$	35.0185	+	12.8871i	1.24986	+	0.459961i
$786$	−1.35830	−	10.5347i	−0.0484489	−	0.375760i
$787$	−9.01981			−0.321522			−0.160761	−	0.986993i	$-0.551395\pi$
$787$	−9.01981			−0.321522			−0.160761	+	0.986993i	$0.551395\pi$
$788$	−9.39780	−	22.6959i	−0.334783	−	0.808507i
$789$	−24.0351			−0.855673
$790$	−1.62943	−	12.6375i	−0.0579726	−	0.449624i
$791$	20.4029	+	7.50845i	0.725443	+	0.266970i
$792$	7.05276	−	1.84945i	0.250609	−	0.0657174i
$793$	24.5956	−	10.8877i	0.873414	−	0.386634i
$794$	−2.91153	+	12.7562i	−0.103326	+	0.452702i
$795$	5.55614	+	0.716384i	0.197056	+	0.0254075i
$796$	−0.522766	−	1.29124i	−0.0185290	−	0.0457669i
$797$	−16.9004	−	14.3875i	−0.598641	−	0.509631i	0.296724	−	0.954963i	$-0.404106\pi$
$797$	−16.9004	−	14.3875i	−0.598641	−	0.509631i	−0.895365	+	0.445333i	$0.853085\pi$
$798$	3.52399	+	5.81320i	0.124748	+	0.205785i
$799$	−11.6902	−	17.9593i	−0.413570	−	0.635355i
$800$	9.21584	+	0.889041i	0.325829	+	0.0314324i
$801$	−0.0842101	−	1.31164i	−0.00297542	−	0.0463445i
$802$			1.21428i			0.0428777i
$803$	−23.9050	+	1.53475i	−0.843589	+	0.0541602i
$804$	−23.1330	+	13.0283i	−0.815839	+	0.459472i
$805$	−14.1707	−	0.454426i	−0.499451	−	0.0160164i
$806$	4.98922	−	7.66478i	0.175738	−	0.269980i
$807$	−18.4088	+	23.0840i	−0.648022	+	0.812594i
$808$	14.6745	−	11.7025i	0.516247	−	0.411693i
$809$	−31.7267	−	16.5518i	−1.11545	−	0.581931i	−0.198170	−	0.980168i	$-0.563500\pi$
$809$	−31.7267	−	16.5518i	−1.11545	−	0.581931i	−0.917283	+	0.398237i	$0.869622\pi$
$810$	−0.676512	+	0.575923i	−0.0237702	+	0.0202359i
$811$	43.8834	+	14.5703i	1.54095	+	0.511632i	0.954464	−	0.298325i	$-0.0964278\pi$
$811$	43.8834	+	14.5703i	1.54095	+	0.511632i	0.586490	+	0.809957i	$0.300509\pi$
$812$	−0.0683666	−	2.13192i	−0.00239920	−	0.0748158i
$813$	3.14672	−	3.46488i	0.110360	−	0.121519i
$814$	20.6420	−	4.02003i	0.723501	−	0.140902i
$815$	−3.16561	−	5.62086i	−0.110887	−	0.196890i
$816$	5.49429	−	0.708410i	0.192338	−	0.0247993i
$817$	−2.30697	+	23.9142i	−0.0807107	+	0.836651i
$818$	−0.832995	−	4.27726i	−0.0291250	−	0.149551i
$819$	−6.08530	+	6.28357i	−0.212638	+	0.219566i
$820$	18.5297	+	24.8281i	0.647086	+	0.867036i
$821$	−3.83720	−	16.8119i	−0.133919	−	0.586738i	−0.996701	−	0.0811616i	$-0.974137\pi$
$821$	−3.83720	−	16.8119i	−0.133919	−	0.586738i	0.862782	−	0.505576i	$-0.168720\pi$
$822$	−0.740515	−	7.67622i	−0.0258284	−	0.267739i
$823$	50.4911	−	14.9855i	1.76001	−	0.522361i	0.767129	−	0.641493i	$-0.221685\pi$
$823$	50.4911	−	14.9855i	1.76001	−	0.522361i	0.992878	+	0.119132i	$0.0380111\pi$
$824$	33.7238	+	16.2405i	1.17482	+	0.565765i
$825$	6.23808	+	3.51322i	0.217182	+	0.122315i
$826$	−2.37230	−	1.43810i	−0.0825428	−	0.0500379i
$827$	−1.27439	+	4.29385i	−0.0443149	+	0.149312i	−0.977914	−	0.209008i	$-0.932977\pi$
$827$	−1.27439	+	4.29385i	−0.0443149	+	0.149312i	0.933599	+	0.358319i	$0.116650\pi$
$828$	4.86957	+	4.71592i	0.169229	+	0.163890i
$829$	−0.366278	+	11.4219i	−0.0127214	+	0.396699i	0.973246	+	0.229763i	$0.0737953\pi$
$829$	−0.366278	+	11.4219i	−0.0127214	+	0.396699i	−0.985968	+	0.166935i	$0.946613\pi$
$830$	1.97818	−	5.37536i	0.0686637	−	0.186581i
$831$	−4.48073	+	2.91663i	−0.155435	+	0.101177i
$832$	8.21433	+	7.46004i	0.284781	+	0.258630i
$833$	5.71619	+	1.69653i	0.198054	+	0.0587814i
$834$	0.869503	−	4.46471i	0.0301084	−	0.154600i
$835$	22.4443	+	32.1757i	0.776719	+	1.11348i
$836$	44.3815	−	7.17526i	1.53497	−	0.248162i
$837$	−4.16675	−	1.09265i	−0.144024	−	0.0377675i
$838$	−16.6410	−	11.6081i	−0.574855	−	0.400994i
$839$	−24.5185	−	9.92644i	−0.846472	−	0.342699i	−0.0893729	−	0.995998i	$-0.528486\pi$
$839$	−24.5185	−	9.92644i	−0.846472	−	0.342699i	−0.757100	+	0.653300i	$0.773384\pi$
$840$	−2.16211	−	6.51193i	−0.0745999	−	0.224683i
$841$	28.1214	+	5.47665i	0.969704	+	0.188850i
$842$	2.67337	−	1.99519i	0.0921304	−	0.0687587i
$843$	−15.6843	−	10.2093i	−0.540195	−	0.351628i
$844$	−0.433290	−	1.65232i	−0.0149145	−	0.0568753i
$845$	7.66334	−	4.64556i	0.263627	−	0.159812i
$846$	4.95370	−	0.158855i	0.170312	−	0.00546156i
$847$	−4.40886	+	7.27287i	−0.151490	+	0.249899i
$848$	7.66747	−	2.54578i	0.263302	−	0.0874223i
$849$	6.23333	+	16.9380i	0.213927	+	0.581310i
$850$	−1.59341	−	1.18919i	−0.0546535	−	0.0407890i
$851$	28.1661	+	31.0140i	0.965520	+	1.06314i
$852$	15.3283	−	14.8446i	0.525137	−	0.508567i
$853$	−9.72164	−	18.6346i	−0.332863	−	0.638035i	0.660785	−	0.750576i	$-0.270224\pi$
$853$	−9.72164	−	18.6346i	−0.332863	−	0.638035i	−0.993647	+	0.112540i	$0.964101\pi$
$854$	−6.11732	+	2.25123i	−0.209330	+	0.0770355i
$855$	−9.62762	+	6.71581i	−0.329258	+	0.229676i
$856$	−13.6401	+	3.11326i	−0.466208	+	0.106409i
$857$	−23.4801	−	18.7247i	−0.802064	−	0.639625i	0.134187	−	0.990956i	$-0.457158\pi$
$857$	−23.4801	−	18.7247i	−0.802064	−	0.639625i	−0.936251	+	0.351331i	$0.885729\pi$
$858$	−3.34281	−	7.55147i	−0.114122	−	0.257803i
$859$	11.4907	−	13.4976i	0.392057	−	0.460533i	−0.529766	−	0.848144i	$-0.677720\pi$
$859$	11.4907	−	13.4976i	0.392057	−	0.460533i	0.921823	+	0.387611i	$0.126700\pi$
$860$	3.56612	−	10.7406i	0.121604	−	0.366251i
$861$	−10.0640	+	17.8697i	−0.342981	+	0.608997i
$862$	−3.11350	+	7.69040i	−0.106046	+	0.261936i
$863$	44.9882	−	23.4703i	1.53142	−	0.798938i	0.532542	−	0.846403i	$-0.321237\pi$
$863$	44.9882	−	23.4703i	1.53142	−	0.798938i	0.998873	+	0.0474649i	$0.0151142\pi$
$864$	−2.03616	+	4.59973i	−0.0692717	+	0.156486i
$865$	6.58572	+	13.6754i	0.223921	+	0.464977i
$866$	1.86493	+	0.301507i	0.0633729	+	0.0102456i
$867$	11.2743	+	4.99078i	0.382894	+	0.169496i
$868$	9.28601	−	12.4424i	0.315188	−	0.422323i
$869$	−8.90341	−	55.0708i	−0.302028	−	1.86815i
$870$	−0.523372	+	0.0504890i	−0.0177440	+	0.00171174i
$871$	40.1741	+	50.3767i	1.36125	+	1.70695i
$872$	1.34831	+	0.307744i	0.0456597	+	0.0104215i
$873$	−7.52453	+	3.04634i	−0.254667	+	0.103103i
$874$	−8.28801	−	9.73557i	−0.280346	−	0.329311i
$875$	10.8643	−	22.5600i	0.367281	−	0.762666i
$876$	6.16632	−	8.83988i	0.208341	−	0.298672i
$877$	−22.5208	−	23.2546i	−0.760475	−	0.785253i	0.221319	−	0.975201i	$-0.428964\pi$
$877$	−22.5208	−	23.2546i	−0.760475	−	0.785253i	−0.981794	+	0.189949i	$0.939168\pi$
$878$	0.873920	−	5.40550i	0.0294934	−	0.182427i
$879$	−0.441631	+	6.87876i	−0.0148958	+	0.232015i
$880$	−17.6863	−	1.13550i	−0.596206	−	0.0382777i
$881$	−39.5804	+	19.0609i	−1.33350	+	0.642178i	−0.958565	−	0.284874i	$-0.908048\pi$
$881$	−39.5804	+	19.0609i	−1.33350	+	0.642178i	−0.374932	+	0.927052i	$0.622334\pi$
$882$	−1.02091	+	0.927159i	−0.0343757	+	0.0312191i
$883$	−10.5782	+	40.3394i	−0.355986	+	1.35753i	0.511164	+	0.859483i	$0.329215\pi$
$883$	−10.5782	+	40.3394i	−0.355986	+	1.35753i	−0.867150	+	0.498047i	$0.834051\pi$
$884$	−4.57110	−	15.4016i	−0.153743	−	0.518011i
$885$	2.21573	−	4.24713i	0.0744808	−	0.142766i
$886$	−1.27250	+	9.86924i	−0.0427504	+	0.331564i
$887$	−5.85053	+	45.3755i	−0.196441	+	1.52356i	0.536868	+	0.843666i	$0.319607\pi$
$887$	−5.85053	+	45.3755i	−0.196441	+	1.52356i	−0.733310	+	0.679895i	$0.762025\pi$
$888$	−9.37810	+	17.9761i	−0.314708	+	0.603237i
$889$	9.70200	+	32.6892i	0.325395	+	1.09636i
$890$	0.296201	−	1.12954i	0.00992870	−	0.0378624i
$891$	−2.87947	+	2.61506i	−0.0964658	+	0.0876077i
$892$	17.2940	−	8.32834i	0.579045	−	0.278854i
$893$	65.3487	+	4.19552i	2.18681	+	0.140398i
$894$	0.0677014	−	1.05450i	0.00226427	−	0.0352679i
$895$	−1.73222	+	10.7144i	−0.0579018	+	0.358143i
$896$	−16.2841	−	16.8146i	−0.544012	−	0.561737i
$897$	9.41242	−	13.4934i	0.314272	−	0.450532i
$898$	7.15511	−	14.8577i	0.238769	−	0.495809i
$899$	−1.65254	−	1.94117i	−0.0551152	−	0.0647415i
$900$	−2.98589	+	1.20885i	−0.0995298	+	0.0402951i
$901$	−6.64054	−	1.51566i	−0.221229	−	0.0504940i
$902$	−12.0722	−	15.1381i	−0.401961	−	0.504043i
$903$	7.45722	−	0.719389i	0.248161	−	0.0239398i
$904$	−3.15831	−	19.5353i	−0.105044	−	0.649733i
$905$	−9.25361	+	12.3990i	−0.307600	+	0.412156i
$906$	−1.84747	−	0.817819i	−0.0613780	−	0.0271702i
$907$	−18.3399	−	2.96506i	−0.608967	−	0.0984531i	−0.152665	−	0.988278i	$-0.548786\pi$
$907$	−18.3399	−	2.96506i	−0.608967	−	0.0984531i	−0.456302	+	0.889825i	$0.650826\pi$
$908$	15.7981	+	32.8052i	0.524280	+	1.08868i
$909$	−4.05312	+	9.15607i	−0.134434	+	0.303688i
$910$	−6.89025	+	3.59464i	−0.228409	+	0.119161i
$911$	−18.9302	+	46.7580i	−0.627186	+	1.54916i	0.195522	+	0.980699i	$0.437360\pi$
$911$	−18.9302	+	46.7580i	−0.627186	+	1.54916i	−0.822709	+	0.568463i	$0.807538\pi$
$912$	−8.30717	+	14.7502i	−0.275078	+	0.488428i
$913$	7.90184	−	23.7991i	0.261513	−	0.787635i
$914$	−6.43589	+	7.55997i	−0.212880	+	0.250061i
$915$	−4.55619	−	10.2925i	−0.150623	−	0.340260i
$916$	−20.9336	−	16.6940i	−0.691666	−	0.551585i
$917$	−42.6652	+	9.73805i	−1.40893	+	0.321579i
$918$	0.885971	−	0.618015i	0.0292414	−	0.0203975i
$919$	40.1524	−	14.7765i	1.32451	−	0.487431i	0.417550	−	0.908654i	$-0.362889\pi$
$919$	40.1524	−	14.7765i	1.32451	−	0.487431i	0.906957	+	0.421224i	$0.138399\pi$
$920$	5.96914	+	11.4417i	0.196797	+	0.377223i
$921$	19.5246	−	18.9085i	0.643357	−	0.623056i
$922$	1.72242	+	1.89658i	0.0567250	+	0.0624605i
$923$	−41.5026	−	30.9742i	−1.36607	−	1.01953i
$924$	−4.84178	−	13.1567i	−0.159283	−	0.432823i
$925$	−18.8944	+	6.27336i	−0.621243	+	0.206267i
$926$	−0.860701	+	1.41982i	−0.0282844	+	0.0466581i
$927$	−19.9581	+	0.640019i	−0.655512	+	0.0210210i
$928$	−2.54574	+	1.54324i	−0.0835680	+	0.0506594i
$929$	2.33488	+	8.90391i	0.0766049	+	0.292128i	0.994506	−	0.104682i	$-0.0333825\pi$
$929$	2.33488	+	8.90391i	0.0766049	+	0.292128i	−0.917901	+	0.396810i	$0.870117\pi$
$930$	−3.20748	−	2.08784i	−0.105177	−	0.0684630i
$931$	−14.6024	+	10.8981i	−0.478575	+	0.357170i
$932$	18.4570	+	3.59449i	0.604578	+	0.117742i
$933$	−0.443059	−	1.33442i	−0.0145051	−	0.0436870i
$934$	18.1254	+	7.33816i	0.593081	+	0.240112i
$935$	12.2548	+	8.54843i	0.400775	+	0.279563i
$936$	7.70159	+	2.01959i	0.251734	+	0.0660125i
$937$	−9.14312	+	1.47819i	−0.298693	+	0.0482903i	−0.307109	−	0.951674i	$-0.599362\pi$
$937$	−9.14312	+	1.47819i	−0.298693	+	0.0482903i	0.00841653	+	0.999965i	$0.497321\pi$
$938$	−8.93364	−	12.8070i	−0.291694	−	0.418165i
$939$	−4.60247	+	23.6327i	−0.150196	+	0.771225i
$940$	−29.5711	−	8.77655i	−0.964503	−	0.286260i
$941$	1.16170	+	1.05503i	0.0378704	+	0.0343929i	0.691016	−	0.722839i	$-0.257163\pi$
$941$	1.16170	+	1.05503i	0.0378704	+	0.0343929i	−0.653146	+	0.757232i	$0.726551\pi$
$942$	8.79423	−	5.72441i	0.286531	−	0.186511i
$943$	13.3218	−	36.1997i	0.433818	−	1.17882i
$944$	0.221424	−	6.90482i	0.00720674	−	0.224733i
$945$	2.62949	+	2.54652i	0.0855373	+	0.0828382i
$946$	−2.01248	+	6.78071i	−0.0654313	+	0.220460i
$947$	−17.5546	−	10.6417i	−0.570448	−	0.345809i	0.203483	−	0.979078i	$-0.434774\pi$
$947$	−17.5546	−	10.6417i	−0.570448	−	0.345809i	−0.773931	+	0.633269i	$0.781713\pi$
$948$	21.8706	+	12.3173i	0.710324	+	0.400047i
$949$	−23.5675	−	11.3495i	−0.765032	−	0.368420i
$950$	5.82464	−	1.72872i	0.188976	−	0.0560871i
$951$	0.333683	+	3.45897i	0.0108204	+	0.112165i
$952$	1.85638	+	8.13334i	0.0601656	+	0.263603i
$953$	−9.87341	−	13.2295i	−0.319831	−	0.428545i	0.612322	−	0.790608i	$-0.290236\pi$
$953$	−9.87341	−	13.2295i	−0.319831	−	0.428545i	−0.932153	+	0.362064i	$0.882072\pi$
$954$	1.09596	−	1.13167i	0.0354830	−	0.0366391i
$955$	−5.15907	−	26.4907i	−0.166944	−	0.857220i
$956$	2.31921	−	24.0410i	0.0750086	−	0.777543i
$957$	−2.28309	+	0.294371i	−0.0738017	+	0.00951568i
$958$	4.67474	+	8.30048i	0.151034	+	0.268176i
$959$	−31.1870	+	6.07368i	−1.00708	+	0.196129i
$960$	3.12180	−	3.43745i	0.100756	−	0.110943i
$961$	0.398861	+	12.4380i	0.0128665	+	0.401224i
$962$	21.7946	+	7.23629i	0.702684	+	0.233307i
$963$	5.68330	−	4.83826i	0.183142	−	0.155911i
$964$	−8.59773	−	4.48543i	−0.276914	−	0.144466i
$965$	8.10609	−	6.46439i	0.260944	−	0.208096i
$966$	−2.48584	+	3.11714i	−0.0799806	+	0.100292i
$967$	32.8193	−	50.4193i	1.05540	−	1.62138i	0.315152	−	0.949041i	$-0.397945\pi$
$967$	32.8193	−	50.4193i	1.05540	−	1.62138i	0.740247	−	0.672335i	$-0.234708\pi$
$968$	7.73739	+	0.248123i	0.248689	+	0.00797498i
$969$	12.4357	−	7.00363i	0.399491	−	0.224989i
$970$	−7.19750	+	0.462095i	−0.231098	+	0.0148370i
$971$			8.11815i			0.260524i	0.991480	+	0.130262i	$0.0415818\pi$
$971$			8.11815i			0.260524i	−0.991480	+	0.130262i	$0.958418\pi$
$972$	−0.112133	−	1.74656i	−0.00359667	−	0.0560210i
$973$	−18.6537	−	1.79950i	−0.598009	−	0.0576893i
$974$	11.7378	+	18.0324i	0.376103	+	0.577795i
$975$	4.05279	+	6.68550i	0.129793	+	0.214107i
$976$	−12.3602	−	10.5224i	−0.395640	−	0.336813i
$977$	2.80759	+	6.93480i	0.0898227	+	0.221864i	0.965166	−	0.261638i	$-0.0842626\pi$
$977$	2.80759	+	6.93480i	0.0898227	+	0.221864i	−0.875343	+	0.483502i	$0.839365\pi$
$978$	−1.79919	−	0.231979i	−0.0575316	−	0.00741788i
$979$	1.13762	−	4.98423i	0.0363584	−	0.159297i
$980$	7.84837	−	3.47424i	0.250707	−	0.110981i
$981$	−0.713666	+	0.187145i	−0.0227856	+	0.00597509i
$982$	−10.3473	−	3.80790i	−0.330195	−	0.121515i
$983$	3.43761	+	26.6614i	0.109643	+	0.850366i	0.950850	+	0.309653i	$0.100213\pi$
$983$	3.43761	+	26.6614i	0.109643	+	0.850366i	−0.841207	+	0.540713i	$0.818154\pi$
$984$	18.6677			0.595103
$985$	13.1009	+	21.2313i	0.417430	+	0.676487i
$986$	0.639293			0.0203592
$987$	−2.61123	−	20.2522i	−0.0831163	−	0.644633i
$988$	46.0730	+	16.9553i	1.46578	+	0.539419i
$989$	−13.6299	+	3.57418i	−0.433406	+	0.113652i
$990$	−3.16007	+	1.39887i	−0.100433	+	0.0444589i
$991$	4.80111	−	21.0350i	0.152512	−	0.668199i	−0.839638	−	0.543147i	$-0.817233\pi$
$991$	4.80111	−	21.0350i	0.152512	−	0.668199i	0.992150	−	0.125053i	$-0.0399101\pi$
$992$	−21.4906	−	2.77090i	−0.682326	−	0.0879762i
$993$	1.57841	+	3.89870i	0.0500893	+	0.123721i
$994$	9.55619	+	8.13530i	0.303104	+	0.258036i
$995$	0.733419	+	1.20985i	0.0232509	+	0.0383549i
$996$	6.15532	+	9.45623i	0.195039	+	0.299632i
$997$	24.9195	+	2.40395i	0.789207	+	0.0761339i	0.482759	−	0.875753i	$-0.339635\pi$
$997$	24.9195	+	2.40395i	0.789207	+	0.0761339i	0.306449	+	0.951887i	$0.400859\pi$
$998$	0.618763	+	9.63773i	0.0195866	+	0.305077i
$999$		−	10.8164i		−	0.342217i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	591.2.n.a.10.14	✓	1344
197.138	even	98	inner	591.2.n.a.532.14	yes	1344

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
591.2.n.a.10.14	✓	1344	1.1	even	1	trivial
591.2.n.a.532.14	yes	1344	197.138	even	98	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:	\( N \)	\(=\)	\( 591 = 3 \cdot 197 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	591.n (of order \(98\), degree \(42\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0639185 - 0.495739i) q^{2} +(-0.938468 - 0.345365i) q^{3} +(1.69292 - 0.443935i) q^{4} +(-1.62534 + 0.719492i) q^{5} +(-0.111225 + 0.487311i) q^{6} +(2.04245 + 0.263345i) q^{7} +(-0.703434 - 1.73749i) q^{8} +(0.761446 + 0.648228i) q^{9} +(0.460570 + 0.759758i) q^{10} +(2.12197 + 3.25992i) q^{11} +(-1.74207 - 0.168055i) q^{12} +(0.272142 + 4.23882i) q^{13} -1.02936i q^{14} +(1.77382 - 0.113883i) q^{15} +(2.23351 - 1.25789i) q^{16} +(-2.16002 - 0.0692677i) q^{17} +(0.272682 - 0.418912i) q^{18} +(4.11756 - 5.16326i) q^{19} +(-2.43217 + 1.93959i) q^{20} +(-1.82583 - 0.952533i) q^{21} +(1.48044 - 1.26031i) q^{22} +(3.67595 + 1.22050i) q^{23} +(0.0600803 + 1.87353i) q^{24} +(-1.23743 + 1.36255i) q^{25} +(2.08396 - 0.405850i) q^{26} +(-0.490718 - 0.871319i) q^{27} +(3.57461 - 0.460895i) q^{28} +(0.0568278 - 0.589079i) q^{29} +(-0.169836 - 0.872073i) q^{30} +(2.99674 - 3.09438i) q^{31} +(-3.00865 - 4.03132i) q^{32} +(-0.865542 - 3.79219i) q^{33} +(0.103727 + 1.07523i) q^{34} +(-3.50916 + 1.04150i) q^{35} +(1.57684 + 0.759365i) q^{36} +(9.42456 + 5.30782i) q^{37} +(-2.82282 - 1.71121i) q^{38} +(1.20855 - 4.07199i) q^{39} +(2.39344 + 2.31791i) q^{40} +(0.319195 - 9.95369i) q^{41} +(-0.355504 + 0.966018i) q^{42} +(-3.04892 + 1.98463i) q^{43} +(5.03952 + 4.57676i) q^{44} +(-1.70401 - 0.505740i) q^{45} +(0.370088 - 1.90033i) q^{46} +(5.67288 + 8.13250i) q^{47} +(-2.53051 + 0.409113i) q^{48} +(-2.66880 - 0.699842i) q^{49} +(0.754562 + 0.526350i) q^{50} +(2.00319 + 0.811001i) q^{51} +(2.34248 + 7.05517i) q^{52} +(3.09362 + 0.602482i) q^{53} +(-0.400581 + 0.298961i) q^{54} +(-5.79442 - 3.77175i) q^{55} +(-0.979169 - 3.73400i) q^{56} +(-5.64741 + 3.42349i) q^{57} +(-0.295662 + 0.00948130i) q^{58} +(1.39709 - 2.30464i) q^{59} +(2.95238 - 0.980257i) q^{60} +(-2.18703 - 5.94286i) q^{61} +(-1.72555 - 1.28781i) q^{62} +(1.38451 + 1.52450i) q^{63} +(1.87661 - 1.81740i) q^{64} +(-3.49212 - 6.69375i) q^{65} +(-1.82461 + 0.671474i) q^{66} +(12.4418 - 8.67886i) q^{67} +(-3.68749 + 0.841645i) q^{68} +(-3.02825 - 2.41495i) q^{69} +(0.740613 + 1.67306i) q^{70} +(-7.90329 + 9.28365i) q^{71} +(0.590667 - 1.77899i) q^{72} +(-3.02201 + 5.36588i) q^{73} +(2.02889 - 5.01139i) q^{74} +(1.63186 - 0.851342i) q^{75} +(4.67854 - 10.5689i) q^{76} +(3.47555 + 7.21705i) q^{77} +(-2.09589 - 0.338848i) q^{78} +(-13.1144 - 5.80536i) q^{79} +(-2.72518 + 3.65149i) q^{80} +(0.159600 + 0.987182i) q^{81} +(-4.95483 + 0.477987i) q^{82} +(-4.01958 - 5.04039i) q^{83} +(-3.51384 - 0.802011i) q^{84} +(3.56061 - 1.44153i) q^{85} +(1.17874 + 1.38461i) q^{86} +(-0.256779 + 0.533206i) q^{87} +(4.17143 - 5.98006i) q^{88} +(-0.914364 - 0.944156i) q^{89} +(-0.141798 + 0.877069i) q^{90} +(-0.560437 + 8.72927i) q^{91} +(6.76491 + 0.434322i) q^{92} +(-3.88104 + 1.86901i) q^{93} +(3.66900 - 3.33209i) q^{94} +(-2.97753 + 11.3546i) q^{95} +(1.43125 + 4.82235i) q^{96} +(-3.75480 + 7.19724i) q^{97} +(-0.176353 + 1.36776i) q^{98} +(-0.497405 + 3.85778i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1344 q + 14 q^{4} - 14 q^{6} + 14 q^{7} - 28 q^{8} + 14 q^{10} - 28 q^{11} + 14 q^{15} + 14 q^{16} - 56 q^{19} + 42 q^{22} - 56 q^{28} - 322 q^{29} + 28 q^{31} + 28 q^{32} - 28 q^{33} + 28 q^{34} - 210 q^{36}+ \cdots - 28 q^{99}+O(q^{100}) \) 1344 * q + 14 * q^4 - 14 * q^6 + 14 * q^7 - 28 * q^8 + 14 * q^10 - 28 * q^11 + 14 * q^15 + 14 * q^16 - 56 * q^19 + 42 * q^22 - 56 * q^28 - 322 * q^29 + 28 * q^31 + 28 * q^32 - 28 * q^33 + 28 * q^34 - 210 * q^36 - 14 * q^37 - 28 * q^41 + 14 * q^42 - 56 * q^43 - 336 * q^44 + 14 * q^45 + 14 * q^46 - 28 * q^47 + 42 * q^49 + 98 * q^50 - 56 * q^52 + 70 * q^55 + 98 * q^56 - 196 * q^58 - 28 * q^59 - 28 * q^61 + 28 * q^62 - 154 * q^64 + 182 * q^65 + 28 * q^67 - 336 * q^71 + 14 * q^73 + 28 * q^74 + 196 * q^76 - 42 * q^79 - 28 * q^83 - 910 * q^85 - 210 * q^86 + 70 * q^88 - 56 * q^89 - 28 * q^90 + 14 * q^91 + 84 * q^92 - 28 * q^93 + 14 * q^94 - 14 * q^95 - 28 * q^96 + 28 * q^97 - 56 * q^98 - 28 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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