LMFDB - Embedded newform 522.2.x.a.101.10

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [522,2,Mod(11,522)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(522, base_ring=CyclotomicField(84)) chi = DirichletCharacter(H, H._module([14, 75])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("522.11"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 522 = 2 \cdot 3^{2} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	522.x (of order $84$, degree $24$, 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:	$4.16819098551$
Analytic rank:	$0$
Dimension:	$720$
Relative dimension:	$30$ over $\Q(\zeta_{84})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label			101.10
Character	$\chi$	$=$	522.101
Dual form			522.2.x.a.491.10

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.399892 + 0.916562i) q^{2} +(0.545940 + 1.64376i) q^{3} +(-0.680173 - 0.733052i) q^{4} +(-1.21190 - 0.182665i) q^{5} +(-1.72493 - 0.156939i) q^{6} +(-1.82276 - 1.69127i) q^{7} +(0.943883 - 0.330279i) q^{8} +(-2.40390 + 1.79479i) q^{9} +(0.652054 - 1.03774i) q^{10} +(-2.91283 + 2.50669i) q^{11} +(0.833628 - 1.51824i) q^{12} +(1.68773 - 2.47545i) q^{13} +(2.27907 - 0.994346i) q^{14} +(-0.361368 - 2.09180i) q^{15} +(-0.0747301 + 0.997204i) q^{16} +(-3.98408 - 3.98408i) q^{17} +(-0.683736 - 2.92105i) q^{18} +(-0.561434 - 0.352773i) q^{19} +(0.690400 + 1.01263i) q^{20} +(1.78493 - 3.91952i) q^{21} +(-1.13272 - 3.67219i) q^{22} +(-3.48204 - 1.36660i) q^{23} +(1.05820 + 1.37121i) q^{24} +(-3.34252 - 1.03103i) q^{25} +(1.59399 + 2.53682i) q^{26} +(-4.26259 - 2.97159i) q^{27} +2.48654i q^{28} +(1.88875 + 5.04308i) q^{29} +(2.06177 + 0.505278i) q^{30} +(2.02420 - 1.49392i) q^{31} +(-0.884115 - 0.467269i) q^{32} +(-5.71063 - 3.41949i) q^{33} +(5.24486 - 2.05846i) q^{34} +(1.90007 + 2.38261i) q^{35} +(2.95074 + 0.541416i) q^{36} +(-1.22391 - 3.49773i) q^{37} +(0.547851 - 0.373519i) q^{38} +(4.99044 + 1.42278i) q^{39} +(-1.20422 + 0.227852i) q^{40} +(5.13959 + 1.37715i) q^{41} +(2.87870 + 3.20339i) q^{42} +(-3.75049 + 5.08174i) q^{43} +(3.81876 + 0.430271i) q^{44} +(3.24113 - 1.73600i) q^{45} +(2.64501 - 2.64501i) q^{46} +(-1.08778 - 1.26402i) q^{47} +(-1.67996 + 0.421575i) q^{48} +(-0.0610645 - 0.814849i) q^{49} +(2.28165 - 2.65133i) q^{50} +(4.37381 - 8.72395i) q^{51} +(-2.96258 + 0.446537i) q^{52} +(10.3393 + 8.24530i) q^{53} +(4.42822 - 2.71861i) q^{54} +(3.98794 - 2.50579i) q^{55} +(-2.27907 - 0.994346i) q^{56} +(0.273364 - 1.11546i) q^{57} +(-5.37759 - 0.285525i) q^{58} +(-8.99996 + 5.19613i) q^{59} +(-1.28761 + 1.68769i) q^{60} +(-13.4653 + 0.503836i) q^{61} +(0.559815 + 2.45271i) q^{62} +(7.41721 + 0.794181i) q^{63} +(0.781831 - 0.623490i) q^{64} +(-2.49754 + 2.69171i) q^{65} +(5.41781 - 3.86672i) q^{66} +(7.40845 - 0.555186i) q^{67} +(-0.210675 + 5.63040i) q^{68} +(0.345378 - 6.46972i) q^{69} +(-2.94364 + 0.788745i) q^{70} +(-8.14325 + 3.92158i) q^{71} +(-1.67622 + 2.48803i) q^{72} +(0.799776 - 7.09821i) q^{73} +(3.69531 + 0.276926i) q^{74} +(-0.130048 - 6.05719i) q^{75} +(0.123272 + 0.651507i) q^{76} +(9.54889 + 0.357294i) q^{77} +(-3.29970 + 4.00509i) q^{78} +(0.780250 - 4.12372i) q^{79} +(0.272720 - 1.19486i) q^{80} +(2.55746 - 8.62899i) q^{81} +(-3.31752 + 4.16004i) q^{82} +(-5.29509 + 17.1663i) q^{83} +(-4.08727 + 1.35750i) q^{84} +(4.10057 + 5.55607i) q^{85} +(-3.15794 - 5.46971i) q^{86} +(-7.25846 + 5.85788i) q^{87} +(-1.92146 + 3.32807i) q^{88} +(-12.1075 + 1.36419i) q^{89} +(0.295049 + 3.66491i) q^{90} +(-7.26299 + 1.65773i) q^{91} +(1.36660 + 3.48204i) q^{92} +(3.56074 + 2.51170i) q^{93} +(1.59355 - 0.491546i) q^{94} +(0.615964 + 0.530080i) q^{95} +(0.285404 - 1.70837i) q^{96} +(-1.17477 - 2.22278i) q^{97} +(0.771279 + 0.269882i) q^{98} +(2.50316 - 11.2537i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 720 q + 24 q^{11} - 12 q^{14} - 20 q^{15} - 60 q^{16} + 84 q^{21} + 20 q^{24} + 60 q^{25} - 144 q^{27} - 12 q^{29} + 72 q^{30} + 84 q^{33} - 40 q^{36} + 40 q^{39} - 12 q^{41} - 104 q^{45} + 24 q^{46} - 24 q^{47}+ \cdots - 84 q^{99}+O(q^{100}) $ 720 * q + 24 * q^11 - 12 * q^14 - 20 * q^15 - 60 * q^16 + 84 * q^21 + 20 * q^24 + 60 * q^25 - 144 * q^27 - 12 * q^29 + 72 * q^30 + 84 * q^33 - 40 * q^36 + 40 * q^39 - 12 * q^41 - 104 * q^45 + 24 * q^46 - 24 * q^47 + 60 * q^49 + 16 * q^54 - 144 * q^55 + 12 * q^56 + 12 * q^58 + 120 * q^59 - 16 * q^60 - 12 * q^61 + 36 * q^65 - 48 * q^66 - 36 * q^68 + 52 * q^69 - 180 * q^74 - 184 * q^75 - 132 * q^77 - 68 * q^78 + 12 * q^79 - 216 * q^81 + 96 * q^82 - 432 * q^83 - 80 * q^84 - 48 * q^85 - 200 * q^87 - 112 * q^90 - 252 * q^92 - 112 * q^93 + 192 * q^95 + 24 * q^97 - 84 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/522\mathbb{Z}\right)^\times$.

$n$	$379$	$407$
$\chi(n)$	$e\left(\frac{13}{28}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.399892	+	0.916562i	−0.282766	+	0.648107i
$2$	−0.399892	+	0.916562i	−0.282766	+	0.648107i
$3$	0.545940	+	1.64376i	0.315199	+	0.949026i
$3$	0.545940	+	1.64376i	0.315199	+	0.949026i
$4$	−0.680173	−	0.733052i	−0.340086	−	0.366526i
$5$	−1.21190	−	0.182665i	−0.541979	−	0.0816902i	−0.127653	−	0.991819i	$-0.540744\pi$
$5$	−1.21190	−	0.182665i	−0.541979	−	0.0816902i	−0.414326	+	0.910129i	$0.635983\pi$
$6$	−1.72493	−	0.156939i	−0.704198	−	0.0640700i
$7$	−1.82276	−	1.69127i	−0.688939	−	0.639242i	0.255928	−	0.966696i	$-0.417619\pi$
$7$	−1.82276	−	1.69127i	−0.688939	−	0.639242i	−0.944867	+	0.327454i	$0.893809\pi$
$8$	0.943883	−	0.330279i	0.333713	−	0.116771i
$9$	−2.40390	+	1.79479i	−0.801300	+	0.598263i
$10$	0.652054	−	1.03774i	0.206197	−	0.328161i
$11$	−2.91283	+	2.50669i	−0.878250	+	0.755796i	−0.970794	−	0.239913i	$-0.922881\pi$
$11$	−2.91283	+	2.50669i	−0.878250	+	0.755796i	0.0925439	+	0.995709i	$0.470500\pi$
$12$	0.833628	−	1.51824i	0.240648	−	0.438279i
$13$	1.68773	−	2.47545i	0.468092	−	0.686565i	−0.517504	−	0.855681i	$-0.673139\pi$
$13$	1.68773	−	2.47545i	0.468092	−	0.686565i	0.985596	+	0.169116i	$0.0540911\pi$
$14$	2.27907	−	0.994346i	0.609106	−	0.265750i
$15$	−0.361368	−	2.09180i	−0.0933049	−	0.540101i
$16$	−0.0747301	+	0.997204i	−0.0186825	+	0.249301i
$17$	−3.98408	−	3.98408i	−0.966282	−	0.966282i	0.0331678	−	0.999450i	$-0.489440\pi$
$17$	−3.98408	−	3.98408i	−0.966282	−	0.966282i	−0.999450	+	0.0331678i	$0.989440\pi$
$18$	−0.683736	−	2.92105i	−0.161158	−	0.688497i
$19$	−0.561434	−	0.352773i	−0.128802	−	0.0809316i	0.466090	−	0.884737i	$-0.345662\pi$
$19$	−0.561434	−	0.352773i	−0.128802	−	0.0809316i	−0.594892	+	0.803806i	$0.702805\pi$
$20$	0.690400	+	1.01263i	0.154378	+	0.226431i
$21$	1.78493	−	3.91952i	0.389504	−	0.855309i
$22$	−1.13272	−	3.67219i	−0.241497	−	0.782914i
$23$	−3.48204	−	1.36660i	−0.726055	−	0.284956i	−0.0266138	−	0.999646i	$-0.508472\pi$
$23$	−3.48204	−	1.36660i	−0.726055	−	0.284956i	−0.699441	+	0.714690i	$0.746568\pi$
$24$	1.05820	+	1.37121i	0.216005	+	0.279896i
$25$	−3.34252	−	1.03103i	−0.668505	−	0.206206i
$26$	1.59399	+	2.53682i	0.312607	+	0.497512i
$27$	−4.26259	−	2.97159i	−0.820336	−	0.571882i
$28$			2.48654i			0.469911i
$29$	1.88875	+	5.04308i	0.350733	+	0.936476i
$29$	1.88875	+	5.04308i	0.350733	+	0.936476i
$30$	2.06177	+	0.505278i	0.376427	+	0.0922507i
$31$	2.02420	−	1.49392i	0.363556	−	0.268317i	−0.396689	−	0.917953i	$-0.629841\pi$
$31$	2.02420	−	1.49392i	0.363556	−	0.268317i	0.760245	+	0.649636i	$0.225079\pi$
$32$	−0.884115	−	0.467269i	−0.156291	−	0.0826022i
$33$	−5.71063	−	3.41949i	−0.994093	−	0.595257i
$34$	5.24486	−	2.05846i	0.899487	−	0.353022i
$35$	1.90007	+	2.38261i	0.321171	+	0.402735i
$36$	2.95074	+	0.541416i	0.491790	+	0.0902359i
$37$	−1.22391	−	3.49773i	−0.201209	−	0.575023i	0.798424	−	0.602095i	$-0.205667\pi$
$37$	−1.22391	−	3.49773i	−0.201209	−	0.575023i	−0.999633	+	0.0270725i	$0.991381\pi$
$38$	0.547851	−	0.373519i	0.0888732	−	0.0605927i
$39$	4.99044	+	1.42278i	0.799110	+	0.227827i
$40$	−1.20422	+	0.227852i	−0.190405	+	0.0360265i
$41$	5.13959	+	1.37715i	0.802669	+	0.215074i	0.636755	−	0.771066i	$-0.280276\pi$
$41$	5.13959	+	1.37715i	0.802669	+	0.215074i	0.165913	+	0.986140i	$0.446943\pi$
$42$	2.87870	+	3.20339i	0.444193	+	0.494293i
$43$	−3.75049	+	5.08174i	−0.571945	+	0.774958i	−0.991123	−	0.132946i	$-0.957556\pi$
$43$	−3.75049	+	5.08174i	−0.571945	+	0.774958i	0.419178	+	0.907904i	$0.362318\pi$
$44$	3.81876	+	0.430271i	0.575700	+	0.0648658i
$45$	3.24113	−	1.73600i	0.483160	−	0.258788i
$46$	2.64501	−	2.64501i	0.389986	−	0.389986i
$47$	−1.08778	−	1.26402i	−0.158669	−	0.184377i	0.673010	−	0.739633i	$-0.265001\pi$
$47$	−1.08778	−	1.26402i	−0.158669	−	0.184377i	−0.831679	+	0.555256i	$0.812620\pi$
$48$	−1.67996	+	0.421575i	−0.242482	+	0.0608491i
$49$	−0.0610645	−	0.814849i	−0.00872350	−	0.116407i
$50$	2.28165	−	2.65133i	0.322675	−	0.374955i
$51$	4.37381	−	8.72395i	0.612456	−	1.22160i
$52$	−2.96258	+	0.446537i	−0.410836	+	0.0619235i
$53$	10.3393	+	8.24530i	1.42021	+	1.13258i	0.970979	+	0.239163i	$0.0768730\pi$
$53$	10.3393	+	8.24530i	1.42021	+	1.13258i	0.449230	+	0.893416i	$0.351698\pi$
$54$	4.42822	−	2.71861i	0.602604	−	0.369957i
$55$	3.98794	−	2.50579i	0.537734	−	0.337881i
$56$	−2.27907	−	0.994346i	−0.304553	−	0.132875i
$57$	0.273364	−	1.11546i	0.0362080	−	0.147746i
$58$	−5.37759	−	0.285525i	−0.706112	−	0.0374912i
$59$	−8.99996	+	5.19613i	−1.17169	+	0.676478i	−0.954079	−	0.299556i	$-0.903161\pi$
$59$	−8.99996	+	5.19613i	−1.17169	+	0.676478i	−0.217616	+	0.976034i	$0.569828\pi$
$60$	−1.28761	+	1.68769i	−0.166229	+	0.217880i
$61$	−13.4653	+	0.503836i	−1.72405	+	0.0645096i	−0.880941	−	0.473226i	$-0.843089\pi$
$61$	−13.4653	+	0.503836i	−1.72405	+	0.0645096i	−0.843113	+	0.537736i	$0.819280\pi$
$62$	0.559815	+	2.45271i	0.0710966	+	0.311494i
$63$	7.41721	+	0.794181i	0.934481	+	0.100057i
$64$	0.781831	−	0.623490i	0.0977289	−	0.0779362i
$65$	−2.49754	+	2.69171i	−0.309782	+	0.333865i
$66$	5.41781	−	3.86672i	0.666886	−	0.475960i
$67$	7.40845	−	0.555186i	0.905086	−	0.0678268i	0.385951	−	0.922519i	$-0.373873\pi$
$67$	7.40845	−	0.555186i	0.905086	−	0.0678268i	0.519135	+	0.854692i	$0.326254\pi$
$68$	−0.210675	+	5.63040i	−0.0255481	+	0.682787i
$69$	0.345378	−	6.46972i	0.0415786	−	0.778862i
$70$	−2.94364	+	0.788745i	−0.351832	+	0.0942730i
$71$	−8.14325	+	3.92158i	−0.966426	+	0.465406i	−0.849416	−	0.527724i	$-0.823045\pi$
$71$	−8.14325	+	3.92158i	−0.966426	+	0.465406i	−0.117010	+	0.993131i	$0.537331\pi$
$72$	−1.67622	+	2.48803i	−0.197544	+	0.293217i
$73$	0.799776	−	7.09821i	0.0936067	−	0.830782i	−0.855923	−	0.517104i	$-0.827010\pi$
$73$	0.799776	−	7.09821i	0.0936067	−	0.830782i	0.949529	−	0.313678i	$-0.101561\pi$
$74$	3.69531	+	0.276926i	0.429572	+	0.0321919i
$75$	−0.130048	−	6.05719i	−0.0150166	−	0.699424i
$76$	0.123272	+	0.651507i	0.0141402	+	0.0747329i
$77$	9.54889	+	0.357294i	1.08820	+	0.0407175i
$78$	−3.29970	+	4.00509i	−0.373618	+	0.453487i
$79$	0.780250	−	4.12372i	0.0877849	−	0.463955i	−0.910897	−	0.412633i	$-0.864609\pi$
$79$	0.780250	−	4.12372i	0.0877849	−	0.463955i	0.998682	−	0.0513213i	$-0.0163433\pi$
$80$	0.272720	−	1.19486i	0.0304910	−	0.133590i
$81$	2.55746	−	8.62899i	0.284162	−	0.958776i
$82$	−3.31752	+	4.16004i	−0.366359	+	0.459400i
$83$	−5.29509	+	17.1663i	−0.581212	+	1.88424i	−0.130832	+	0.991405i	$0.541765\pi$
$83$	−5.29509	+	17.1663i	−0.581212	+	1.88424i	−0.450380	+	0.892837i	$0.648711\pi$
$84$	−4.08727	+	1.35750i	−0.445958	+	0.148115i
$85$	4.10057	+	5.55607i	0.444769	+	0.602640i
$86$	−3.15794	−	5.46971i	−0.340529	−	0.589814i
$87$	−7.25846	+	5.85788i	−0.778189	+	0.628030i
$88$	−1.92146	+	3.32807i	−0.204829	+	0.354773i
$89$	−12.1075	+	1.36419i	−1.28339	+	0.144604i	−0.727187	−	0.686440i	$-0.759173\pi$
$89$	−12.1075	+	1.36419i	−1.28339	+	0.144604i	−0.556208	+	0.831043i	$0.687744\pi$
$90$	0.295049	+	3.66491i	0.0311009	+	0.386316i
$91$	−7.26299	+	1.65773i	−0.761368	+	0.173777i
$92$	1.36660	+	3.48204i	0.142478	+	0.363027i
$93$	3.56074	+	2.51170i	0.369232	+	0.260451i
$94$	1.59355	−	0.491546i	0.164362	−	0.0506991i
$95$	0.615964	+	0.530080i	0.0631966	+	0.0543850i
$96$	0.285404	−	1.70837i	0.0291289	−	0.174360i
$97$	−1.17477	−	2.22278i	−0.119280	−	0.225689i	0.817244	−	0.576291i	$-0.195501\pi$
$97$	−1.17477	−	2.22278i	−0.119280	−	0.225689i	−0.936524	+	0.350602i	$0.885977\pi$
$98$	0.771279	+	0.269882i	0.0779109	+	0.0272622i
$99$	2.50316	−	11.2537i	0.251577	−	1.13104i
$100$	1.51769	+	3.15152i	0.151769	+	0.315152i
$101$	−6.46334	−	4.77017i	−0.643127	−	0.474649i	0.222771	−	0.974871i	$-0.428490\pi$
$101$	−6.46334	−	4.77017i	−0.643127	−	0.474649i	−0.865897	+	0.500222i	$0.833252\pi$
$102$	6.24699	+	7.49751i	0.618544	+	0.742364i
$103$	2.71668	+	1.85220i	0.267682	+	0.182503i	0.689721	−	0.724075i	$-0.257733\pi$
$103$	2.71668	+	1.85220i	0.267682	+	0.182503i	−0.422039	+	0.906578i	$0.638685\pi$
$104$	0.775433	−	2.89395i	0.0760374	−	0.283776i
$105$	−2.87912	+	4.42403i	−0.280973	+	0.431741i
$106$	−11.6919	+	6.17936i	−1.13562	+	0.600193i
$107$	3.09996	−	6.43713i	0.299684	−	0.622301i	−0.695693	−	0.718339i	$-0.744903\pi$
$107$	3.09996	−	6.43713i	0.299684	−	0.622301i	0.995378	+	0.0960379i	$0.0306170\pi$
$108$	0.720970	+	5.14589i	0.0693753	+	0.495164i
$109$	1.87661	+	0.428324i	0.179747	+	0.0410260i	0.311447	−	0.950264i	$-0.399186\pi$
$109$	1.87661	+	0.428324i	0.179747	+	0.0410260i	−0.131700	+	0.991290i	$0.542044\pi$
$110$	0.701967	+	4.65725i	0.0669299	+	0.444051i
$111$	5.08124	−	3.92136i	0.482290	−	0.372199i
$112$	1.82276	−	1.69127i	0.172235	−	0.159810i
$113$	2.71690	−	5.14062i	0.255584	−	0.483589i	−0.722617	−	0.691249i	$-0.757061\pi$
$113$	2.71690	−	5.14062i	0.255584	−	0.483589i	0.978201	+	0.207660i	$0.0665846\pi$
$114$	0.913069	+	0.696617i	0.0855167	+	0.0652442i
$115$	3.97026	+	2.29223i	0.370228	+	0.213751i
$116$	2.41216	−	4.81472i	0.223963	−	0.447035i
$117$	0.385771	+	8.97984i	0.0356646	+	0.830187i
$118$	−1.16356	−	10.3269i	−0.107115	−	0.950669i
$119$	0.523851	+	14.0002i	0.0480213	+	1.28340i
$120$	−1.03197	−	1.85506i	−0.0942053	−	0.169343i
$121$	0.561600	−	3.72597i	0.0510546	−	0.338725i
$122$	4.92287	−	12.5433i	0.445695	−	1.13561i
$123$	0.542204	+	9.20009i	0.0488889	+	0.829545i
$124$	−2.47193	−	0.467714i	−0.221986	−	0.0420019i
$125$	9.38357	+	4.51889i	0.839292	+	0.404182i
$126$	−3.69400	+	6.48075i	−0.329088	+	0.577351i
$127$	−5.22687	+	14.9375i	−0.463809	+	1.32549i	0.440170	+	0.897914i	$0.354918\pi$
$127$	−5.22687	+	14.9375i	−0.463809	+	1.32549i	−0.903979	+	0.427576i	$0.859368\pi$
$128$	0.258819	+	0.965926i	0.0228766	+	0.0853766i
$129$	−10.4007	−	3.39059i	−0.915731	−	0.298525i
$130$	−1.46837	−	3.36554i	−0.128785	−	0.295178i
$131$	−4.28713	−	9.82621i	−0.374568	−	0.858520i	−0.997113	−	0.0759353i	$-0.975806\pi$
$131$	−4.28713	−	9.82621i	−0.374568	−	0.858520i	0.622544	−	0.782585i	$-0.286099\pi$
$132$	1.37755	+	6.51203i	0.119900	+	0.566799i
$133$	0.426725	+	1.59256i	0.0370017	+	0.138092i
$134$	−2.45372	+	7.01232i	−0.211969	+	0.605772i
$135$	4.62304	+	4.37990i	0.397888	+	0.376961i
$136$	−5.07637	−	2.44465i	−0.435295	−	0.209627i
$137$	−8.48027	−	1.60455i	−0.724519	−	0.137086i	−0.189444	−	0.981891i	$-0.560669\pi$
$137$	−8.48027	−	1.60455i	−0.724519	−	0.137086i	−0.535074	+	0.844805i	$0.679716\pi$
$138$	5.79178	+	2.90375i	0.493029	+	0.247183i
$139$	−5.36191	+	13.6619i	−0.454791	+	1.15879i	0.501184	+	0.865341i	$0.332898\pi$
$139$	−5.36191	+	13.6619i	−0.454791	+	1.15879i	−0.955975	+	0.293448i	$0.905197\pi$
$140$	0.454203	−	3.01344i	0.0383871	−	0.254682i
$141$	1.48389	−	2.47813i	0.124966	−	0.208696i
$142$	−0.337954	−	9.03201i	−0.0283605	−	0.757949i
$143$	1.28911	+	11.4412i	0.107801	+	0.956758i
$144$	−1.61013	−	2.53130i	−0.134177	−	0.210942i
$145$	−1.36779	−	6.45672i	−0.113589	−	0.536201i
$146$	6.18612	+	3.57156i	0.511967	+	0.295584i
$147$	1.30608	−	0.545234i	0.107724	−	0.0449701i
$148$	−1.73155	+	3.27625i	−0.142332	+	0.269306i
$149$	0.0212663	−	0.0197323i	0.00174221	−	0.00161653i	−0.679301	−	0.733860i	$-0.737717\pi$
$149$	0.0212663	−	0.0197323i	0.00174221	−	0.00161653i	0.681043	+	0.732243i	$0.261527\pi$
$150$	5.60380	+	2.30303i	0.457548	+	0.188041i
$151$	3.07155	+	20.3784i	0.249959	+	1.65837i	0.663718	+	0.747983i	$0.268978\pi$
$151$	3.07155	+	20.3784i	0.249959	+	1.65837i	−0.413759	+	0.910387i	$0.635784\pi$
$152$	−0.646442	−	0.147546i	−0.0524334	−	0.0119676i
$153$	16.7279	+	2.42674i	1.35237	+	0.196190i
$154$	−4.14601	+	8.60927i	−0.334095	+	0.693755i
$155$	−2.72601	+	1.44074i	−0.218959	+	0.115723i
$156$	−2.35139	−	4.62599i	−0.188262	−	0.370375i
$157$	−0.837352	+	3.12504i	−0.0668280	+	0.249405i	−0.991256	−	0.131950i	$-0.957876\pi$
$157$	−0.837352	+	3.12504i	−0.0668280	+	0.249405i	0.924428	+	0.381356i	$0.124543\pi$
$158$	3.46763	+	2.36419i	0.275870	+	0.188085i
$159$	−7.90867	+	21.4967i	−0.627199	+	1.70480i
$160$	0.986107	+	0.727780i	0.0779586	+	0.0575361i
$161$	4.03563	+	8.38006i	0.318052	+	0.660441i
$162$	6.88630	+	5.79473i	0.541038	+	0.455277i
$163$	−2.32089	−	0.812115i	−0.181786	−	0.0636098i	0.237851	−	0.971302i	$-0.423557\pi$
$163$	−2.32089	−	0.812115i	−0.181786	−	0.0636098i	−0.419637	+	0.907692i	$0.637843\pi$
$164$	−2.48629	−	4.70428i	−0.194146	−	0.367343i
$165$	6.29610	+	5.18721i	0.490151	+	0.403824i
$166$	−13.6165	−	11.7179i	−1.05684	−	0.909488i
$167$	2.90311	−	0.895490i	0.224649	−	0.0692951i	−0.180387	−	0.983596i	$-0.557735\pi$
$167$	2.90311	−	0.895490i	0.224649	−	0.0692951i	0.405036	+	0.914301i	$0.367259\pi$
$168$	0.390234	−	4.28909i	0.0301072	−	0.330911i
$169$	1.47003	+	3.74559i	0.113080	+	0.288122i
$170$	−6.73227	+	1.53660i	−0.516341	+	0.117852i
$171$	1.98278	−	0.159627i	0.151627	−	0.0122070i
$172$	6.27616	−	0.707153i	0.478553	−	0.0539199i
$173$	7.39856	−	12.8147i	0.562502	−	0.974282i	−0.434775	−	0.900539i	$-0.643172\pi$
$173$	7.39856	−	12.8147i	0.562502	−	0.974282i	0.997277	−	0.0737434i	$-0.0234946\pi$
$174$	−2.46651	−	8.99535i	−0.186985	−	0.681936i
$175$	4.34886	+	7.53245i	0.328743	+	0.569400i
$176$	−2.28201	−	3.09201i	−0.172013	−	0.233069i
$177$	−13.4546	−	11.9570i	−1.01131	−	0.898743i
$178$	3.59134	−	11.6428i	0.269182	−	0.872666i
$179$	8.04940	−	10.0936i	0.601641	−	0.754434i	−0.383992	−	0.923336i	$-0.625451\pi$
$179$	8.04940	−	10.0936i	0.601641	−	0.754434i	0.985633	+	0.168903i	$0.0540224\pi$
$180$	−3.47711	−	1.19514i	−0.259168	−	0.0890804i
$181$	1.71675	−	7.52156i	0.127605	−	0.559073i	−0.870191	−	0.492714i	$-0.836005\pi$
$181$	1.71675	−	7.52156i	0.127605	−	0.559073i	0.997796	−	0.0663586i	$-0.0211381\pi$
$182$	1.38500	−	7.31989i	0.102663	−	0.542587i
$183$	−8.17943	−	21.8587i	−0.604641	−	1.61584i
$184$	−3.73800	−	0.139866i	−0.275569	−	0.0103111i
$185$	0.844344	+	4.46246i	0.0620774	+	0.328087i
$186$	−3.72604	+	2.25923i	−0.273207	+	0.165655i
$187$	21.5918	+	1.61808i	1.57895	+	0.118326i
$188$	−0.186716	+	1.65715i	−0.0136177	+	0.120860i
$189$	2.74391	+	12.6257i	0.199590	+	0.918385i
$190$	−0.732170	+	0.352595i	−0.0531172	+	0.0255799i
$191$	−7.30012	+	1.95606i	−0.528218	+	0.141536i	−0.513065	−	0.858350i	$-0.671490\pi$
$191$	−7.30012	+	1.95606i	−0.528218	+	0.141536i	−0.0151529	+	0.999885i	$0.504823\pi$
$192$	1.45170	+	0.944756i	0.104768	+	0.0681819i
$193$	0.391510	−	10.4633i	0.0281815	−	0.753167i	−0.911537	−	0.411218i	$-0.865103\pi$
$193$	0.391510	−	10.4633i	0.0281815	−	0.753167i	0.939719	−	0.341949i	$-0.111087\pi$
$194$	2.50710	−	0.187881i	0.179999	−	0.0134891i
$195$	−5.78803	−	2.63585i	−0.414490	−	0.188757i
$196$	−0.555792	+	0.599001i	−0.0396994	+	0.0427858i
$197$	2.91593	−	2.32538i	0.207751	−	0.165676i	−0.514087	−	0.857738i	$-0.671869\pi$
$197$	2.91593	−	2.32538i	0.207751	−	0.165676i	0.721838	+	0.692062i	$0.243298\pi$
$198$	9.31376	+	6.79458i	0.661900	+	0.482870i
$199$	−0.0411747	−	0.180398i	−0.00291880	−	0.0127881i	0.973448	−	0.228910i	$-0.0735162\pi$
$199$	−0.0411747	−	0.180398i	−0.00291880	−	0.0127881i	−0.976366	+	0.216122i	$0.930659\pi$
$200$	−3.49548	+	0.130792i	−0.247168	+	0.00924837i
$201$	4.95716	+	11.8746i	0.349651	+	0.837571i
$202$	6.95679	−	4.01651i	0.489478	−	0.282600i
$203$	5.08648	−	12.3867i	0.357001	−	0.869377i
$204$	−9.37005	+	2.72756i	−0.656035	+	0.190968i
$205$	−5.97712	−	2.60779i	−0.417460	−	0.182136i
$206$	−2.78403	+	1.74932i	−0.193973	+	0.121881i
$207$	10.8232	−	2.96436i	0.752266	−	0.206037i
$208$	2.34240	+	1.86800i	0.162416	+	0.129523i
$209$	2.51965	−	0.379777i	0.174288	−	0.0262697i
$210$	−2.90356	−	4.40803i	−0.200364	−	0.304183i
$211$	9.83295	−	11.4261i	0.676928	−	0.786605i	−0.309482	−	0.950905i	$-0.600156\pi$
$211$	9.83295	−	11.4261i	0.676928	−	0.786605i	0.986410	+	0.164300i	$0.0525366\pi$
$212$	−0.988263	−	13.1875i	−0.0678742	−	0.905718i
$213$	−10.8919	−	11.2446i	−0.746299	−	0.770468i
$214$	4.66038	+	5.41546i	0.318577	+	0.370194i
$215$	5.47348	−	5.47348i	0.373288	−	0.373288i
$216$	−5.00484	−	1.39699i	−0.340536	−	0.0950530i
$217$	−6.21626	−	0.700404i	−0.421987	−	0.0475465i
$218$	−1.14303	+	1.54875i	−0.0774155	+	0.104894i
$219$	12.1044	−	2.56056i	0.817938	−	0.173026i
$220$	−4.54937	−	1.21900i	−0.306718	−	0.0821849i
$221$	−16.5864	+	3.13832i	−1.11572	+	0.211106i
$222$	1.56222	+	6.22540i	0.104849	+	0.417821i
$223$	18.3902	−	12.5383i	1.23150	−	0.839623i	0.240134	−	0.970740i	$-0.422809\pi$
$223$	18.3902	−	12.5383i	1.23150	−	0.839623i	0.991367	+	0.131116i	$0.0418561\pi$
$224$	0.821251	+	2.34700i	0.0548721	+	0.156816i
$225$	9.88558	−	3.52063i	0.659038	−	0.234709i
$226$	3.62524	+	4.54590i	0.241147	+	0.302389i
$227$	−8.30599	+	3.25986i	−0.551288	+	0.216365i	−0.624601	−	0.780944i	$-0.714738\pi$
$227$	−8.30599	+	3.25986i	−0.551288	+	0.216365i	0.0733124	+	0.997309i	$0.476643\pi$
$228$	−1.00362	+	0.558313i	−0.0664665	+	0.0369752i
$229$	−14.6972	−	7.76767i	−0.971215	−	0.513302i	−0.0951334	−	0.995465i	$-0.530328\pi$
$229$	−14.6972	−	7.76767i	−0.971215	−	0.513302i	−0.876082	+	0.482162i	$0.839852\pi$
$230$	−3.68864	+	2.72234i	−0.243222	+	0.179506i
$231$	4.62581	+	15.8912i	0.304356	+	1.04556i
$232$	3.44839	+	4.13626i	0.226398	+	0.271559i
$233$		−	1.49068i		−	0.0976578i	−0.998807	−	0.0488289i	$-0.984451\pi$
$233$		−	1.49068i		−	0.0976578i	0.998807	−	0.0488289i	$-0.0155489\pi$
$234$	−8.38485	−	3.23738i	−0.548135	−	0.211634i
$235$	1.08739	+	1.73057i	0.0709335	+	0.112890i
$236$	9.93056	+	3.06317i	0.646424	+	0.199395i
$237$	7.20438	−	0.968759i	0.467975	−	0.0629277i
$238$	−13.0415	−	5.11843i	−0.845358	−	0.331778i
$239$	7.01207	+	22.7326i	0.453573	+	1.47045i	0.837167	+	0.546947i	$0.184210\pi$
$239$	7.01207	+	22.7326i	0.453573	+	1.47045i	−0.383594	+	0.923502i	$0.625314\pi$
$240$	2.11296	−	0.204038i	0.136391	−	0.0131706i
$241$	−7.14697	−	10.4827i	−0.460377	−	0.675249i	0.523920	−	0.851767i	$-0.324469\pi$
$241$	−7.14697	−	10.4827i	−0.460377	−	0.675249i	−0.984297	+	0.176518i	$0.943517\pi$
$242$	3.19051	+	2.00473i	0.205094	+	0.128869i
$243$	15.5802	−	0.507057i	0.999471	−	0.0325277i
$244$	9.52806	+	9.52806i	0.609972	+	0.609972i
$245$	−0.0748400	+	0.998671i	−0.00478136	+	0.0638028i
$246$	−8.64928	−	3.18208i	−0.551458	−	0.202882i
$247$	−1.82082	+	0.794415i	−0.115856	+	0.0505474i
$248$	1.41719	−	2.07864i	0.0899918	−	0.131994i
$249$	−31.1080	+	0.667888i	−1.97139	+	0.0423257i
$250$	−7.89426	+	6.79356i	−0.499277	+	0.429662i
$251$	16.6615	−	26.5166i	1.05166	−	1.67371i	0.396932	−	0.917848i	$-0.370075\pi$
$251$	16.6615	−	26.5166i	1.05166	−	1.67371i	0.654730	−	0.755863i	$-0.272782\pi$
$252$	−4.46281	−	5.97738i	−0.281131	−	0.376540i
$253$	13.5682	−	4.74772i	0.853026	−	0.298487i
$254$	−11.6010	−	10.7641i	−0.727911	−	0.675402i
$255$	−6.89418	+	9.77363i	−0.431731	+	0.612048i
$256$	−0.988831	−	0.149042i	−0.0618019	−	0.00931514i
$257$	−15.4477	−	16.6487i	−0.963602	−	1.03852i	−0.999233	−	0.0391512i	$-0.987535\pi$
$257$	−15.4477	−	16.6487i	−0.963602	−	1.03852i	0.0356311	−	0.999365i	$-0.488656\pi$
$258$	7.26685	−	8.17702i	0.452414	−	0.509079i
$259$	−3.68473	+	8.44548i	−0.228958	+	0.524777i
$260$	3.67192			0.227723
$261$	−13.5916	−	8.73313i	−0.841301	−	0.540567i
$262$	10.7207			0.662328
$263$	−0.430415	+	0.986522i	−0.0265405	+	0.0608315i	−0.929328	−	0.369256i	$-0.879613\pi$
$263$	−0.430415	+	0.986522i	−0.0265405	+	0.0608315i	0.902787	+	0.430088i	$0.141517\pi$
$264$	−6.51955	−	1.34150i	−0.401251	−	0.0825634i
$265$	−11.0241	−	11.8811i	−0.677203	−	0.729851i
$266$	−1.63032	−	0.245732i	−0.0999616	−	0.0150668i
$267$	−8.85238	−	19.1571i	−0.541757	−	1.17240i
$268$	−5.44600	−	5.05315i	−0.332668	−	0.308670i
$269$	8.77022	−	3.06883i	0.534730	−	0.187110i	−0.0493871	−	0.998780i	$-0.515727\pi$
$269$	8.77022	−	3.06883i	0.534730	−	0.187110i	0.584117	+	0.811670i	$0.301441\pi$
$270$	−5.86316	+	2.48581i	−0.356821	+	0.151282i
$271$	−2.61703	+	4.16498i	−0.158973	+	0.253005i	−0.916708	−	0.399558i	$-0.869163\pi$
$271$	−2.61703	+	4.16498i	−0.158973	+	0.253005i	0.757734	+	0.652563i	$0.226306\pi$
$272$	4.27067	−	3.67521i	0.258948	−	0.222842i
$273$	−6.69007	−	11.0336i	−0.404901	−	0.667783i
$274$	4.86187	−	7.13105i	0.293716	−	0.430802i
$275$	12.3207	−	5.37546i	0.742965	−	0.324152i
$276$	−4.97755	+	4.14734i	−0.299614	+	0.249641i
$277$	−1.69968	+	22.6807i	−0.102124	+	1.36275i	0.677048	+	0.735939i	$0.263259\pi$
$277$	−1.69968	+	22.6807i	−0.102124	+	1.36275i	−0.779172	+	0.626810i	$0.784360\pi$
$278$	−10.3778	−	10.3778i	−0.622420	−	0.622420i
$279$	−2.18468	+	7.22425i	−0.130793	+	0.432504i
$280$	2.58037	+	1.62136i	0.154207	+	0.0968945i
$281$	−15.2538	−	22.3732i	−0.909964	−	1.33467i	−0.942151	−	0.335190i	$-0.891199\pi$
$281$	−15.2538	−	22.3732i	−0.909964	−	1.33467i	0.0321865	−	0.999482i	$-0.489753\pi$
$282$	1.67797	+	2.35106i	0.0999215	+	0.140004i
$283$	8.19263	+	26.5599i	0.487001	+	1.57882i	0.781972	+	0.623313i	$0.214214\pi$
$283$	8.19263	+	26.5599i	0.487001	+	1.57882i	−0.294971	+	0.955506i	$0.595310\pi$
$284$	8.41354	+	3.30207i	0.499252	+	0.195942i
$285$	−0.535045	+	1.30189i	−0.0316933	+	0.0771173i
$286$	−11.0020	−	3.39368i	−0.650565	−	0.200673i
$287$	−7.03910	−	11.2027i	−0.415505	−	0.661273i
$288$	2.96397	−	0.463535i	0.174654	−	0.0273140i
$289$			14.7458i			0.867402i
$290$	6.46496	+	1.32832i	0.379635	+	0.0780019i
$291$	3.01236	−	3.14455i	0.176588	−	0.184337i
$292$	−5.74734	+	4.24173i	−0.336338	+	0.248228i
$293$	−20.8089	−	10.9978i	−1.21567	−	0.642501i	−0.268515	−	0.963276i	$-0.586533\pi$
$293$	−20.8089	−	10.9978i	−1.21567	−	0.642501i	−0.947155	+	0.320775i	$0.896057\pi$
$294$	−0.0225497	+	1.41514i	−0.00131512	+	0.0825325i
$295$	11.8562	−	4.65322i	0.690296	−	0.270921i
$296$	−2.31045	−	2.89721i	−0.134292	−	0.168397i
$297$	19.8650	−	2.02927i	1.15269	−	0.117750i
$298$	0.00958162	+	0.0273827i	0.000555048	+	0.00158624i
$299$	−9.25968	+	6.31314i	−0.535501	+	0.365099i
$300$	−4.35178	+	4.21527i	−0.251250	+	0.243369i
$301$	15.4309	−	2.91968i	0.889420	−	0.168287i
$302$	−19.9064	−	5.33389i	−1.14548	−	0.306931i
$303$	4.31241	−	13.2284i	0.247742	−	0.759953i
$304$	0.393742	−	0.533502i	0.0225827	−	0.0305984i
$305$	16.4106	+	1.84904i	0.939671	+	0.105875i
$306$	−8.91362	+	14.3617i	−0.509558	+	0.821006i
$307$	14.0183	−	14.0183i	0.800064	−	0.800064i	−0.183041	−	0.983105i	$-0.558594\pi$
$307$	14.0183	−	14.0183i	0.800064	−	0.800064i	0.983105	+	0.183041i	$0.0585941\pi$
$308$	−6.23298	−	7.24285i	−0.355157	−	0.412700i
$309$	−1.56143	+	5.47676i	−0.0888266	+	0.311562i
$310$	−0.230417	−	3.07470i	−0.0130868	−	0.174631i
$311$	12.1994	−	14.1759i	0.691764	−	0.803844i	−0.296753	−	0.954954i	$-0.595904\pi$
$311$	12.1994	−	14.1759i	0.691764	−	0.803844i	0.988517	+	0.151110i	$0.0482848\pi$
$312$	5.18031	−	0.305300i	0.293277	−	0.0172842i
$313$	22.4661	−	3.38622i	1.26986	−	0.191400i	0.520670	−	0.853758i	$-0.325682\pi$
$313$	22.4661	−	3.38622i	1.26986	−	0.191400i	0.749188	+	0.662358i	$0.230444\pi$
$314$	−2.52944	−	2.01716i	−0.142745	−	0.113835i
$315$	−8.84387	−	2.31733i	−0.498295	−	0.130567i
$316$	−3.55360	+	2.23288i	−0.199906	+	0.125609i
$317$	−2.27732	−	0.993585i	−0.127907	−	0.0558053i	0.334964	−	0.942231i	$-0.391276\pi$
$317$	−2.27732	−	0.993585i	−0.127907	−	0.0558053i	−0.462871	+	0.886426i	$0.653181\pi$
$318$	−16.5405	−	15.8452i	−0.927544	−	0.888553i
$319$	−18.1430	−	9.95508i	−1.01582	−	0.557378i
$320$	−1.06139	+	0.612795i	−0.0593336	+	0.0342563i
$321$	12.2735	+	1.58130i	0.685040	+	0.0882598i
$322$	−9.29466	+	0.347782i	−0.517971	+	0.0193811i
$323$	0.831326	+	3.64228i	0.0462562	+	0.202662i
$324$	−8.06501	+	3.99445i	−0.448056	+	0.221914i
$325$	−8.19355	+	6.53413i	−0.454496	+	0.362449i
$326$	1.67246	−	1.80248i	0.0926290	−	0.0998304i
$327$	0.320454	+	3.31854i	0.0177212	+	0.183515i
$328$	5.30602	−	0.397631i	0.292976	−	0.0219555i
$329$	−0.155048	+	4.14375i	−0.00854808	+	0.228452i
$330$	−7.27217	+	3.69644i	−0.400320	+	0.203482i
$331$	3.90825	−	1.04721i	0.214817	−	0.0575600i	−0.149806	−	0.988715i	$-0.547865\pi$
$331$	3.90825	−	1.04721i	0.214817	−	0.0575600i	0.364622	+	0.931156i	$0.381198\pi$
$332$	16.1853	−	7.79445i	0.888286	−	0.427776i
$333$	9.21983	+	6.21152i	0.505244	+	0.340389i
$334$	−0.340157	+	3.01898i	−0.0186126	+	0.165191i
$335$	−9.07972	−	0.680431i	−0.496078	−	0.0371759i
$336$	3.77517	+	2.07285i	0.205952	+	0.113083i
$337$	5.39330	+	28.5043i	0.293792	+	1.55273i	0.749138	+	0.662414i	$0.230468\pi$
$337$	5.39330	+	28.5043i	0.293792	+	1.55273i	−0.455346	+	0.890314i	$0.650485\pi$
$338$	−4.02092	−	0.150452i	−0.218709	−	0.00818352i
$339$	9.93322	+	1.65946i	0.539498	+	0.0901295i
$340$	1.28379	−	6.78501i	0.0696235	−	0.367969i
$341$	−2.15133	+	9.42557i	−0.116501	+	0.510423i
$342$	−0.646591	+	1.88118i	−0.0349637	+	0.101722i
$343$	−12.1191	+	15.1969i	−0.654372	+	0.820557i
$344$	−1.86164	+	6.03528i	−0.100373	+	0.325400i
$345$	−1.60035	+	7.77757i	−0.0861601	+	0.418730i
$346$	8.78683	+	11.9057i	0.472383	+	0.640056i
$347$	−4.52611	−	7.83946i	−0.242974	−	0.420844i	0.718586	−	0.695438i	$-0.244790\pi$
$347$	−4.52611	−	7.83946i	−0.242974	−	0.420844i	−0.961560	+	0.274594i	$0.911456\pi$
$348$	9.23114	+	1.33646i	0.494841	+	0.0716418i
$349$	18.4752	−	32.0000i	0.988955	−	1.71292i	0.366117	−	0.930569i	$-0.380687\pi$
$349$	18.4752	−	32.0000i	0.988955	−	1.71292i	0.622838	−	0.782351i	$-0.285980\pi$
$350$	−8.64304	+	0.973836i	−0.461990	+	0.0520537i
$351$	−14.5501	+	5.53657i	−0.776627	+	0.295520i
$352$	3.74657	−	0.855131i	0.199693	−	0.0455786i
$353$	−1.48039	−	3.77196i	−0.0787930	−	0.200761i	0.886049	−	0.463591i	$-0.153439\pi$
$353$	−1.48039	−	3.77196i	−0.0787930	−	0.200761i	−0.964842	+	0.262830i	$0.915344\pi$
$354$	16.3397	−	7.55050i	0.868447	−	0.401304i
$355$	10.5852	−	3.26509i	0.561802	−	0.173293i
$356$	9.23523	+	7.94755i	0.489466	+	0.421220i
$357$	−22.7270	+	8.50436i	−1.20284	+	0.450098i
$358$	6.03255	+	11.4141i	0.318830	+	0.603256i
$359$	−13.1899	−	4.61533i	−0.696135	−	0.243588i	−0.0410649	−	0.999156i	$-0.513075\pi$
$359$	−13.1899	−	4.61533i	−0.696135	−	0.243588i	−0.655070	+	0.755568i	$0.727361\pi$
$360$	2.48589	−	2.70906i	0.131018	−	0.142780i
$361$	−8.05303	−	16.7223i	−0.423844	−	0.880121i
$362$	6.20746	+	4.58132i	0.326257	+	0.240789i
$363$	6.43121	−	1.11102i	0.337551	−	0.0583135i
$364$	6.15529	+	4.19660i	0.322625	+	0.219962i
$365$	−2.26584	+	8.45624i	−0.118600	+	0.442620i
$366$	23.3057	+	1.24415i	1.21821	+	0.0650326i
$367$	26.9534	−	14.2453i	1.40696	−	0.743599i	0.420450	−	0.907315i	$-0.361872\pi$
$367$	26.9534	−	14.2453i	1.40696	−	0.743599i	0.986507	+	0.163717i	$0.0523482\pi$
$368$	1.62299	−	3.37017i	0.0846042	−	0.175682i
$369$	−14.8267	+	5.91395i	−0.771849	+	0.307868i
$370$	−4.42777	−	1.01061i	−0.230189	−	0.0525391i
$371$	−4.90096	−	32.5158i	−0.254445	−	1.68813i
$372$	−0.580714	−	4.31860i	−0.0301086	−	0.223909i
$373$	4.89736	−	4.54409i	0.253576	−	0.235284i	−0.543134	−	0.839646i	$-0.682762\pi$
$373$	4.89736	−	4.54409i	0.253576	−	0.235284i	0.796710	+	0.604362i	$0.206572\pi$
$374$	−10.1175	+	19.1432i	−0.523162	+	0.989870i
$375$	−2.30511	+	17.8914i	−0.119035	+	0.923908i
$376$	−1.44422	−	0.833820i	−0.0744799	−	0.0430010i
$377$	15.6716	+	3.83584i	0.807127	+	0.197556i
$378$	−12.6695	−	2.53395i	−0.651649	−	0.130332i
$379$	1.92496	+	17.0845i	0.0988788	+	0.877573i	0.941028	+	0.338329i	$0.109862\pi$
$379$	1.92496	+	17.0845i	0.0988788	+	0.877573i	−0.842149	+	0.539245i	$0.818710\pi$
$380$	−0.0303859	−	0.812079i	−0.00155876	−	0.0416588i
$381$	−27.4073	−	0.436724i	−1.40412	−	0.0223740i
$382$	1.12641	−	7.47323i	0.0576320	−	0.382364i
$383$	−6.50304	+	16.5695i	−0.332290	+	0.846661i	0.662901	+	0.748707i	$0.269325\pi$
$383$	−6.50304	+	16.5695i	−0.332290	+	0.846661i	−0.995191	+	0.0979539i	$0.968770\pi$
$384$	−1.44645	+	0.952774i	−0.0738139	+	0.0486211i
$385$	−11.5071	−	2.17725i	−0.586454	−	0.110963i
$386$	9.43373	+	4.54305i	0.480164	+	0.231235i
$387$	−0.104844	−	18.9473i	−0.00532953	−	0.963147i
$388$	−0.830364	+	2.37304i	−0.0421554	+	0.120473i
$389$	3.77662	+	14.0945i	0.191482	+	0.714622i	0.993149	+	0.116851i	$0.0372800\pi$
$389$	3.77662	+	14.0945i	0.191482	+	0.714622i	−0.801667	+	0.597771i	$0.796053\pi$
$390$	4.73051	−	4.25104i	0.239538	−	0.215260i
$391$	8.42808	+	19.3174i	0.426226	+	0.976921i
$392$	−0.326765	−	0.748954i	−0.0165041	−	0.0378279i
$393$	13.8114	−	12.4115i	0.696694	−	0.626079i
$394$	0.965295	+	3.60253i	0.0486309	+	0.181493i
$395$	−1.69884	+	4.85502i	−0.0854781	+	0.244282i
$396$	−9.95216	+	5.81954i	−0.500115	+	0.292443i
$397$	22.2597	+	10.7197i	1.11718	+	0.538006i	0.899021	−	0.437906i	$-0.144280\pi$
$397$	22.2597	+	10.7197i	1.11718	+	0.538006i	0.218161	+	0.975913i	$0.429994\pi$
$398$	0.181811	+	0.0344006i	0.00911339	+	0.00172435i
$399$	−2.38482	+	1.57088i	−0.119390	+	0.0786422i
$400$	1.27794	−	3.25613i	0.0638968	−	0.162806i
$401$	0.728618	−	4.83406i	0.0363854	−	0.241402i	−0.963244	−	0.268629i	$-0.913430\pi$
$401$	0.728618	−	4.83406i	0.0363854	−	0.241402i	0.999629	+	0.0272269i	$0.00866767\pi$
$402$	−12.8662	−	0.205017i	−0.641705	−	0.0102253i
$403$	−0.281832	−	7.53213i	−0.0140391	−	0.375202i
$404$	0.899412	+	7.98250i	0.0447474	+	0.397144i
$405$	−4.67560	+	9.99033i	−0.232333	+	0.496423i
$406$	9.31916	+	9.61542i	0.462502	+	0.477206i
$407$	12.3327	+	7.12031i	0.611312	+	0.352941i
$408$	1.24703	−	9.67897i	0.0617370	−	0.479180i
$409$	−8.94398	+	16.9228i	−0.442251	+	0.836781i	0.557726	+	0.830025i	$0.311674\pi$
$409$	−8.94398	+	16.9228i	−0.442251	+	0.836781i	−0.999977	+	0.00675530i	$0.997850\pi$
$410$	4.78040	−	4.43557i	0.236087	−	0.219057i
$411$	−1.99222	−	14.8155i	−0.0982688	−	0.730796i
$412$	−0.490052	−	3.25128i	−0.0241431	−	0.160179i
$413$	25.1928	+	5.75010i	1.23966	+	0.282944i
$414$	−1.61110	+	11.1056i	−0.0791813	+	0.545809i
$415$	9.55280	−	19.8366i	0.468928	−	0.973740i
$416$	−2.64885	+	1.39996i	−0.129870	+	0.0686385i
$417$	−25.3842	−	1.35511i	−1.24307	−	0.0663598i
$418$	−0.659500	+	2.46129i	−0.0322572	+	0.120386i
$419$	9.90199	+	6.75106i	0.483744	+	0.329811i	0.780514	−	0.625138i	$-0.214957\pi$
$419$	9.90199	+	6.75106i	0.483744	+	0.329811i	−0.296770	+	0.954949i	$0.595910\pi$
$420$	5.20134	−	0.898556i	0.253799	−	0.0438450i
$421$	−20.9431	−	15.4567i	−1.02071	−	0.753315i	−0.0512756	−	0.998685i	$-0.516329\pi$
$421$	−20.9431	−	15.4567i	−1.02071	−	0.753315i	−0.969430	+	0.245370i	$0.921091\pi$
$422$	6.54061	+	13.5817i	0.318392	+	0.661148i
$423$	4.88357	+	1.08625i	0.237447	+	0.0528152i
$424$	12.4823	+	4.36775i	0.606195	+	0.212117i
$425$	9.20918	+	17.4246i	0.446711	+	0.845218i
$426$	14.6620	−	5.48645i	0.710374	−	0.265819i
$427$	25.3961	+	21.8551i	1.22900	+	1.05764i
$428$	−6.82726	+	2.10593i	−0.330008	+	0.101794i
$429$	−18.1028	+	8.36518i	−0.874010	+	0.403875i
$430$	2.82799	+	7.20559i	0.136378	+	0.347484i
$431$	−34.1291	+	7.78974i	−1.64394	+	0.375219i	−0.941629	−	0.336652i	$-0.890705\pi$
$431$	−34.1291	+	7.78974i	−1.64394	+	0.375219i	−0.702311	+	0.711870i	$0.747848\pi$
$432$	3.28182	−	4.02860i	0.157897	−	0.193826i
$433$	2.78657	−	0.313971i	0.133914	−	0.0150885i	−0.0447531	−	0.998998i	$-0.514250\pi$
$433$	2.78657	−	0.313971i	0.133914	−	0.0150885i	0.178667	+	0.983910i	$0.442822\pi$
$434$	3.12780	−	5.41750i	0.150139	−	0.260048i
$435$	9.86657	−	5.77331i	0.473066	−	0.276809i
$436$	−0.962435	−	1.66699i	−0.0460923	−	0.0798342i
$437$	1.47284	+	1.99562i	0.0704553	+	0.0954635i
$438$	−2.49354	+	12.1184i	−0.119146	+	0.579038i
$439$	0.404531	−	1.31146i	0.0193072	−	0.0625924i	−0.945407	−	0.325893i	$-0.894335\pi$
$439$	0.404531	−	1.31146i	0.0193072	−	0.0625924i	0.964714	+	0.263301i	$0.0848112\pi$
$440$	2.93654	−	3.68231i	0.139994	−	0.175547i
$441$	1.60928	+	1.84922i	0.0766321	+	0.0880579i
$442$	3.75632	−	16.4575i	0.178670	−	0.782803i
$443$	4.10453	−	21.6929i	0.195012	−	1.03066i	−0.739077	−	0.673621i	$-0.764738\pi$
$443$	4.10453	−	21.6929i	0.195012	−	1.03066i	0.934089	−	0.357042i	$-0.116215\pi$
$444$	−6.33068	−	1.05761i	−0.300441	−	0.0501921i
$445$	14.9223	+	0.558354i	0.707385	+	0.0264685i
$446$	4.13798	+	21.8697i	0.195939	+	1.03556i
$447$	0.0440453	+	0.0241841i	0.00208327	+	0.00114387i
$448$	−2.47958	−	0.185819i	−0.117149	−	0.00877913i
$449$	−2.27441	+	20.1859i	−0.107336	+	0.952633i	0.818448	+	0.574580i	$0.194835\pi$
$449$	−2.27441	+	20.1859i	−0.107336	+	0.952633i	−0.925784	+	0.378053i	$0.876594\pi$
$450$	−0.726286	+	10.4686i	−0.0342374	+	0.493495i
$451$	−18.4228	+	8.87196i	−0.867497	+	0.417764i
$452$	−5.61630	+	1.50488i	−0.264169	+	0.0707838i
$453$	−31.8203	+	16.1743i	−1.49505	+	0.759934i
$454$	0.333634	−	8.91655i	0.0156582	−	0.418475i
$455$	9.10484	−	0.682313i	0.426841	−	0.0319873i
$456$	−0.110388	−	1.14315i	−0.00516939	−	0.0535328i
$457$	3.17557	−	3.42245i	0.148547	−	0.160095i	−0.654395	−	0.756153i	$-0.727077\pi$
$457$	3.17557	−	3.42245i	0.148547	−	0.160095i	0.802942	+	0.596058i	$0.203267\pi$
$458$	12.9968	−	10.3646i	0.607302	−	0.484307i
$459$	5.14346	+	28.8216i	0.240076	+	1.34528i
$460$	−1.02014	−	4.46952i	−0.0475642	−	0.208392i
$461$	26.8131	−	1.00328i	1.24881	−	0.0467272i	0.595212	−	0.803568i	$-0.297068\pi$
$461$	26.8131	−	1.00328i	1.24881	−	0.0467272i	0.653599	+	0.756841i	$0.273258\pi$
$462$	−16.4151	−	2.11490i	−0.763697	−	0.0983939i
$463$	−21.4352	+	12.3756i	−0.996177	+	0.575143i	−0.907115	−	0.420883i	$-0.861720\pi$
$463$	−21.4352	+	12.3756i	−0.996177	+	0.575143i	−0.0890618	+	0.996026i	$0.528387\pi$
$464$	−5.17012	+	1.50660i	−0.240017	+	0.0699423i
$465$	−3.85647	−	3.69436i	−0.178840	−	0.171322i
$466$	1.36630	+	0.596111i	0.0632927	+	0.0276143i
$467$	−6.23678	+	3.91883i	−0.288604	+	0.181342i	−0.668551	−	0.743667i	$-0.733085\pi$
$467$	−6.23678	+	3.91883i	−0.288604	+	0.181342i	0.379947	+	0.925008i	$0.375942\pi$
$468$	6.32030	−	6.39064i	0.292156	−	0.295407i
$469$	−14.4428	−	11.5177i	−0.666906	−	0.531840i
$470$	−2.02102	+	0.304619i	−0.0932225	+	0.0140510i
$471$	−5.59397	+	0.329678i	−0.257756	+	0.0151908i
$472$	−6.77874	+	7.87704i	−0.312017	+	0.362570i
$473$	−1.81381	−	24.2035i	−0.0833989	−	1.11288i
$474$	−1.99304	+	6.99066i	−0.0915436	+	0.321092i
$475$	1.51289	+	1.75801i	0.0694161	+	0.0806629i
$476$	9.90657	−	9.90657i	0.454067	−	0.454067i
$477$	−39.6532	−	1.26404i	−1.81559	−	0.0578762i
$478$	−23.6399	−	2.66358i	−1.08126	−	0.121829i
$479$	−8.49050	+	11.5042i	−0.387941	+	0.525641i	−0.954433	−	0.298426i	$-0.903538\pi$
$479$	−8.49050	+	11.5042i	−0.387941	+	0.525641i	0.566492	+	0.824067i	$0.308300\pi$
$480$	−0.657941	+	2.01825i	−0.0300308	+	0.0921201i
$481$	−10.7241	−	2.87350i	−0.488975	−	0.131020i
$482$	12.4661	−	2.35870i	0.567813	−	0.107436i
$483$	−11.5716	+	11.2086i	−0.526526	+	0.510010i
$484$	−3.11332	+	2.12262i	−0.141514	+	0.0964829i
$485$	1.01769	+	2.90838i	0.0462108	+	0.132063i
$486$	−5.76565	+	14.4830i	−0.261535	+	0.656962i
$487$	−8.20230	−	10.2854i	−0.371682	−	0.466074i	0.560453	−	0.828186i	$-0.310627\pi$
$487$	−8.20230	−	10.2854i	−0.371682	−	0.466074i	−0.932135	+	0.362112i	$0.882056\pi$
$488$	−12.5433	+	4.92287i	−0.567807	+	0.222848i
$489$	0.0678553	−	4.25836i	0.00306852	−	0.192570i
$490$	−0.885416	−	0.467956i	−0.0399990	−	0.0211401i
$491$	−20.8031	+	15.3534i	−0.938832	+	0.692890i	−0.951701	−	0.307028i	$-0.900666\pi$
$491$	−20.8031	+	15.3534i	−0.938832	+	0.692890i	0.0128686	+	0.999917i	$0.495904\pi$
$492$	6.37535	−	6.65512i	0.287423	−	0.300036i
$493$	12.5671	−	27.6170i	0.565993	−	1.24381i
$494$		−	1.98657i		−	0.0893802i
$495$	−5.08925	+	13.1812i	−0.228745	+	0.592451i
$496$	1.33848	+	2.13018i	0.0600995	+	0.0956477i
$497$	21.4757	+	6.62437i	0.963315	+	0.297143i
$498$	11.8277	−	28.7795i	0.530011	−	1.28964i
$499$	−20.5572	−	8.06811i	−0.920268	−	0.361178i	−0.142547	−	0.989788i	$-0.545529\pi$
$499$	−20.5572	−	8.06811i	−0.920268	−	0.361178i	−0.777721	+	0.628610i	$0.783624\pi$
$500$	−3.06987	−	9.95227i	−0.137289	−	0.445079i
$501$	3.05690	+	4.28313i	0.136572	+	0.191356i
$502$	17.6413	+	25.8750i	0.787370	+	1.15486i
$503$	6.81153	+	4.27997i	0.303711	+	0.190834i	0.675262	−	0.737578i	$-0.264031\pi$
$503$	6.81153	+	4.27997i	0.303711	+	0.190834i	−0.371550	+	0.928413i	$0.621174\pi$
$504$	7.26329	−	1.70014i	0.323533	−	0.0757301i
$505$	6.96160	+	6.96160i	0.309787	+	0.309787i
$506$	−1.07424	+	14.3347i	−0.0477556	+	0.637255i
$507$	−5.35430	+	4.46125i	−0.237793	+	0.198131i
$508$	14.5052	−	6.32853i	0.643562	−	0.280783i
$509$	−9.62589	+	14.1186i	−0.426660	+	0.625795i	−0.978030	−	0.208466i	$-0.933153\pi$
$509$	−9.62589	+	14.1186i	−0.426660	+	0.625795i	0.551370	+	0.834261i	$0.314105\pi$
$510$	−6.20121	−	10.2273i	−0.274594	−	0.452874i
$511$	−13.4628	+	11.5857i	−0.595560	+	0.512521i
$512$	0.532032	−	0.846724i	0.0235127	−	0.0374203i
$513$	1.34487	+	3.17208i	0.0593774	+	0.140051i
$514$	21.4370	−	7.50112i	0.945544	−	0.330860i
$515$	−2.95401	−	2.74092i	−0.130169	−	0.120780i
$516$	4.58880	+	9.93044i	0.202011	+	0.437163i
$517$	6.33703	+	0.955154i	0.278702	+	0.0420076i
$518$	−6.26732	−	6.75456i	−0.275370	−	0.296778i
$519$	25.1034	+	5.16542i	1.10192	+	0.226737i
$520$	−1.46837	+	3.36554i	−0.0643924	+	0.147589i
$521$	10.0113			0.438601			0.219301	−	0.975657i	$-0.429622\pi$
$521$	10.0113			0.438601			0.219301	+	0.975657i	$0.429622\pi$
$522$	13.4396	−	8.96527i	0.588237	−	0.392399i
$523$	−44.1022			−1.92845			−0.964227	−	0.265077i	$-0.914603\pi$
$523$	−44.1022			−1.92845			−0.964227	+	0.265077i	$0.914603\pi$
$524$	−4.28713	+	9.82621i	−0.187284	+	0.429260i
$525$	−10.0073	+	11.2608i	−0.436756	+	0.491460i
$526$	−0.732089	−	0.789004i	−0.0319206	−	0.0344022i
$527$	−14.0165	−	2.11264i	−0.610567	−	0.0920282i
$528$	3.83668	−	5.43912i	0.166970	−	0.236707i
$529$	−6.60321	−	6.12688i	−0.287096	−	0.266386i
$530$	15.2982	−	5.35308i	0.664512	−	0.232523i
$531$	12.3090	−	28.6440i	0.534166	−	1.24304i
$532$	0.877182	−	1.39603i	0.0380307	−	0.0605254i
$533$	12.0833	−	10.3985i	0.523386	−	0.450410i
$534$	21.0987	−	0.452987i	0.913029	−	0.0196027i
$535$	−4.93268	+	7.23492i	−0.213259	+	0.312793i
$536$	6.80934	−	2.97089i	0.294119	−	0.128323i
$537$	20.9860	+	7.72078i	0.905613	+	0.333176i
$538$	−0.694365	+	9.26565i	−0.0299362	+	0.399471i
$539$	2.22044	+	2.22044i	0.0956413	+	0.0956413i
$540$	0.0662288	−	6.36801i	0.00285003	−	0.274036i
$541$	17.5630	+	11.0356i	0.755094	+	0.474457i	0.853762	−	0.520664i	$-0.174315\pi$
$541$	17.5630	+	11.0356i	0.755094	+	0.474457i	−0.0986683	+	0.995120i	$0.531458\pi$
$542$	−2.77094	−	4.06422i	−0.119022	−	0.174573i
$543$	13.3009	−	1.28440i	0.570795	−	0.0551188i
$544$	1.66075	+	5.38403i	0.0712042	+	0.230838i
$545$	−2.19603	−	0.861877i	−0.0940674	−	0.0369187i
$546$	12.7883	−	1.71962i	0.547288	−	0.0735928i
$547$	35.5352	+	10.9612i	1.51937	+	0.468665i	0.938486	−	0.345318i	$-0.112229\pi$
$547$	35.5352	+	10.9612i	1.51937	+	0.468665i	0.580889	+	0.813983i	$0.302705\pi$
$548$	4.59183	+	7.30785i	0.196153	+	0.312176i
$549$	31.4649	−	25.3785i	1.34289	−	1.08313i
$550$			13.4423i			0.573180i
$551$	0.718647	−	3.49766i	0.0306154	−	0.149005i
$552$	−1.81082	−	6.22073i	−0.0770734	−	0.264772i
$553$	−8.39655	+	6.19694i	−0.357058	+	0.263520i
$554$	−20.1086	−	10.6277i	−0.854331	−	0.451527i
$555$	−6.87426	+	3.82414i	−0.291796	+	0.162326i
$556$	13.6619	−	5.36191i	0.579395	−	0.227396i
$557$	−7.31310	−	9.17033i	−0.309866	−	0.388560i	0.602375	−	0.798213i	$-0.294221\pi$
$557$	−7.31310	−	9.17033i	−0.309866	−	0.388560i	−0.912241	+	0.409653i	$0.865650\pi$
$558$	−5.74784	−	4.89131i	−0.243325	−	0.207066i
$559$	6.24975	+	17.8607i	0.264336	+	0.755429i
$560$	−2.51794	+	1.71670i	−0.106403	+	0.0725440i
$561$	9.12809	+	36.3751i	0.385388	+	1.53576i
$562$	26.6063	−	5.03418i	1.12232	−	0.212354i
$563$	−25.5655	−	6.85027i	−1.07746	−	0.288704i	−0.323905	−	0.946090i	$-0.604996\pi$
$563$	−25.5655	−	6.85027i	−1.07746	−	0.288704i	−0.753555	+	0.657385i	$0.771662\pi$
$564$	−2.82590	+	0.597790i	−0.118992	+	0.0251715i
$565$	−4.23163	+	5.73365i	−0.178026	+	0.241216i
$566$	−27.6199	−	3.11202i	−1.16095	−	0.130808i
$567$	−19.2556	+	11.4032i	−0.808660	+	0.478890i
$568$	−6.39106	+	6.39106i	−0.268163	+	0.268163i
$569$	−21.7983	−	25.3301i	−0.913832	−	1.06189i	−0.997857	−	0.0654284i	$-0.979159\pi$
$569$	−21.7983	−	25.3301i	−0.913832	−	1.06189i	0.0840253	−	0.996464i	$-0.473222\pi$
$570$	−0.979302	−	1.01102i	−0.0410185	−	0.0423469i
$571$	−2.11405	−	28.2101i	−0.0884703	−	1.18055i	−0.847969	−	0.530045i	$-0.822175\pi$
$571$	−2.11405	−	28.2101i	−0.0884703	−	1.18055i	0.759499	−	0.650509i	$-0.225444\pi$
$572$	7.51015	−	8.72695i	0.314015	−	0.364892i
$573$	−7.20073	−	10.9318i	−0.300815	−	0.456681i
$574$	13.0828	−	1.97192i	0.546066	−	0.0823063i
$575$	10.2298	+	8.15798i	0.426612	+	0.340211i
$576$	−0.760411	+	2.90203i	−0.0316838	+	0.120918i
$577$	−22.1325	+	13.9068i	−0.921388	+	0.578947i	−0.907083	−	0.420951i	$-0.861696\pi$
$577$	−22.1325	+	13.9068i	−0.921388	+	0.578947i	−0.0143050	+	0.999898i	$0.504554\pi$
$578$	−13.5155	−	5.89674i	−0.562169	−	0.245272i
$579$	17.4130	−	5.06880i	0.723658	−	0.210652i
$580$	−3.80278	+	5.39435i	−0.157902	+	0.223988i
$581$	38.6845	−	22.3345i	1.60491	−	0.926592i
$582$	1.67756	+	4.01850i	0.0695370	+	0.166572i
$583$	−50.7850	+	1.90024i	−2.10330	+	0.0786999i
$584$	−1.58949	−	6.96403i	−0.0657737	−	0.288174i
$585$	1.17278	−	10.9532i	0.0484887	−	0.452857i
$586$	18.4015	−	14.6747i	0.760160	−	0.606207i
$587$	−2.53910	+	2.73650i	−0.104800	+	0.112948i	−0.783273	−	0.621678i	$-0.786451\pi$
$587$	−2.53910	+	2.73650i	−0.104800	+	0.112948i	0.678473	+	0.734625i	$0.262642\pi$
$588$	−1.28804	−	0.586570i	−0.0531180	−	0.0241898i
$589$	−1.66347	+	0.124660i	−0.0685420	+	0.00513651i
$590$	−0.476239	+	12.7277i	−0.0196064	+	0.523993i
$591$	5.41428	+	3.52357i	0.222714	+	0.144940i
$592$	3.57941	−	0.959100i	0.147113	−	0.0394187i
$593$	−20.4481	+	9.84728i	−0.839703	+	0.404380i	−0.803745	−	0.594974i	$-0.797162\pi$
$593$	−20.4481	+	9.84728i	−0.839703	+	0.404380i	−0.0359576	+	0.999353i	$0.511448\pi$
$594$	−6.08391	+	19.0190i	−0.249626	+	0.780360i
$595$	1.92249	−	17.0626i	0.0788144	−	0.699497i
$596$	−0.0289296	−	0.00216797i	−0.00118500	−	8.88035e-5i
$597$	0.274052	−	0.166168i	0.0112162	−	0.00680080i
$598$	−2.08352	−	11.0116i	−0.0852013	−	0.450300i
$599$	7.03658	+	0.263290i	0.287507	+	0.0107578i	0.180756	−	0.983528i	$-0.442146\pi$
$599$	7.03658	+	0.263290i	0.287507	+	0.0107578i	0.106751	+	0.994286i	$0.465955\pi$
$600$	−2.12331	−	5.67433i	−0.0866839	−	0.231654i
$601$	−2.51491	+	13.2916i	−0.102585	+	0.542176i	0.893137	+	0.449784i	$0.148499\pi$
$601$	−2.51491	+	13.2916i	−0.102585	+	0.542176i	−0.995723	+	0.0923924i	$0.970549\pi$
$602$	−3.49461	+	15.3109i	−0.142430	+	0.624026i
$603$	−16.8127	+	14.6312i	−0.684667	+	0.595829i
$604$	12.8492	−	16.1124i	0.522828	−	0.655605i
$605$	−1.36121	+	4.41293i	−0.0553410	+	0.179411i
$606$	10.4002	+	9.24253i	0.422478	+	0.375452i
$607$	−5.03020	−	6.81568i	−0.204169	−	0.276640i	0.690534	−	0.723299i	$-0.257375\pi$
$607$	−5.03020	−	6.81568i	−0.204169	−	0.276640i	−0.894704	+	0.446660i	$0.852613\pi$
$608$	0.331533	+	0.574232i	0.0134454	+	0.0232882i
$609$	23.1377	+	1.59855i	0.937588	+	0.0647764i
$610$	−8.25724	+	14.3020i	−0.334326	+	0.579070i
$611$	−4.96490	+	0.559410i	−0.200859	+	0.0226313i
$612$	−9.59895	−	13.9130i	−0.388015	−	0.562401i
$613$	16.8772	−	3.85210i	0.681662	−	0.155585i	0.132351	−	0.991203i	$-0.457747\pi$
$613$	16.8772	−	3.85210i	0.681662	−	0.155585i	0.549311	+	0.835618i	$0.314890\pi$
$614$	7.24282	+	18.4544i	0.292296	+	0.744759i
$615$	1.02343	−	11.2487i	0.0412689	−	0.453589i
$616$	9.13104	−	2.81655i	0.367900	−	0.113482i
$617$	−4.23017	−	3.64036i	−0.170300	−	0.146555i	0.563008	−	0.826451i	$-0.309644\pi$
$617$	−4.23017	−	3.64036i	−0.170300	−	0.146555i	−0.733309	+	0.679896i	$0.762025\pi$
$618$	−4.39539	−	3.62126i	−0.176808	−	0.145668i
$619$	8.86531	+	16.7740i	0.356327	+	0.674203i	0.995490	−	0.0948679i	$-0.0302429\pi$
$619$	8.86531	+	16.7740i	0.356327	+	0.674203i	−0.639163	+	0.769071i	$0.720719\pi$
$620$	2.91030	+	1.01836i	0.116880	+	0.0408982i
$621$	10.7815	+	16.1724i	0.432648	+	0.648977i
$622$	8.11470	+	16.8503i	0.325370	+	0.675637i
$623$	24.3763	+	17.9905i	0.976617	+	0.720776i
$624$	−1.79174	+	4.87016i	−0.0717269	+	0.194963i
$625$	3.90409	+	2.66176i	0.156164	+	0.106471i
$626$	−5.88033	+	21.9457i	−0.235025	+	0.877126i
$627$	1.99984	+	3.93437i	0.0798660	+	0.157124i
$628$	2.86036	−	1.51175i	0.114141	−	0.0603252i
$629$	−9.05908	+	18.8114i	−0.361209	+	0.750059i
$630$	5.66057	−	7.17927i	0.225523	−	0.286029i
$631$	−42.2149	−	9.63527i	−1.68055	−	0.383574i	−0.727432	−	0.686179i	$-0.759286\pi$
$631$	−42.2149	−	9.63527i	−1.68055	−	0.383574i	−0.953116	+	0.302605i	$0.902144\pi$
$632$	−0.625513	−	4.15001i	−0.0248816	−	0.165079i
$633$	24.1500	+	9.92506i	0.959875	+	0.394486i
$634$	1.82137	−	1.68998i	0.0723357	−	0.0671177i
$635$	9.06301	−	17.1480i	0.359654	−	0.680499i
$636$	21.1375	−	8.82403i	0.838156	−	0.349896i
$637$	−2.12017	−	1.22408i	−0.0840044	−	0.0485000i
$638$	16.3797	−	12.6483i	0.648479	−	0.500750i
$639$	12.5371	−	24.0425i	0.495961	−	0.951107i
$640$	−0.137223	−	1.21788i	−0.00542420	−	0.0481411i
$641$	0.628380	+	16.7938i	0.0248195	+	0.663316i	0.955068	+	0.296386i	$0.0957815\pi$
$641$	0.628380	+	16.7938i	0.0248195	+	0.663316i	−0.930249	+	0.366930i	$0.880409\pi$
$642$	−6.35744	+	10.6171i	−0.250908	+	0.419023i
$643$	−3.67729	+	24.3972i	−0.145018	+	0.962132i	0.791413	+	0.611281i	$0.209346\pi$
$643$	−3.67729	+	24.3972i	−0.145018	+	0.962132i	−0.936431	+	0.350851i	$0.885892\pi$
$644$	3.39810	−	8.65821i	0.133904	−	0.341181i
$645$	11.9853	+	6.00890i	0.471920	+	0.236600i
$646$	−3.67081	−	0.694555i	−0.144426	−	0.0273269i
$647$	−29.7367	−	14.3204i	−1.16907	−	0.562995i	−0.254362	−	0.967109i	$-0.581865\pi$
$647$	−29.7367	−	14.3204i	−1.16907	−	0.562995i	−0.914708	+	0.404114i	$0.867580\pi$
$648$	−0.436030	−	8.98943i	−0.0171289	−	0.353138i
$649$	13.1902	−	37.6955i	0.517762	−	1.47968i
$650$	−2.71241	−	10.1228i	−0.106389	−	0.397051i
$651$	−2.24241	−	10.6004i	−0.0878869	−	0.415463i
$652$	0.983285	+	2.25371i	0.0385084	+	0.0882622i
$653$	2.30461	+	5.28222i	0.0901863	+	0.206709i	0.955809	−	0.293987i	$-0.0949822\pi$
$653$	2.30461	+	5.28222i	0.0901863	+	0.206709i	−0.865623	+	0.500696i	$0.833077\pi$
$654$	−3.16979	−	1.03334i	−0.123949	−	0.0404068i
$655$	3.40068	+	12.6915i	0.132876	+	0.495898i
$656$	−1.75738	+	5.02230i	−0.0686141	+	0.196088i
$657$	10.8172	+	18.4988i	0.422019	+	0.721707i
$658$	−3.73600	−	1.79916i	−0.145645	−	0.0701387i
$659$	−41.4636	−	7.84534i	−1.61519	−	0.305611i	−0.701703	−	0.712470i	$-0.747576\pi$
$659$	−41.4636	−	7.84534i	−1.61519	−	0.305611i	−0.913491	+	0.406859i	$0.866624\pi$
$660$	−0.479939	−	8.14357i	−0.0186816	−	0.316988i
$661$	−6.67904	+	17.0179i	−0.259784	+	0.661920i	−0.999945	−	0.0105104i	$-0.996654\pi$
$661$	−6.67904	+	17.0179i	−0.259784	+	0.661920i	0.740160	+	0.672430i	$0.234750\pi$
$662$	−0.603042	+	4.00092i	−0.0234379	+	0.155500i
$663$	−14.2139	−	25.5508i	−0.552020	−	0.992311i
$664$	0.671709	+	17.9518i	0.0260674	+	0.696665i
$665$	−0.226244	−	2.00797i	−0.00877337	−	0.0778659i
$666$	−9.38018	+	5.96661i	−0.363475	+	0.231201i
$667$	0.315148	−	20.1413i	0.0122026	−	0.779876i
$668$	−2.63106	−	1.51904i	−0.101799	−	0.0587735i
$669$	30.6498	+	23.3840i	1.18499	+	0.904078i
$670$	4.25457	−	8.05003i	0.164368	−	0.311000i
$671$	37.9591	−	35.2209i	1.46540	−	1.35969i
$672$	−3.40955	+	2.63126i	−0.131526	+	0.101503i
$673$	−0.460045	−	3.05220i	−0.0177334	−	0.117654i	0.978213	−	0.207605i	$-0.0665669\pi$
$673$	−0.460045	−	3.05220i	−0.0177334	−	0.117654i	−0.995946	+	0.0899515i	$0.971329\pi$
$674$	−28.2827	−	6.45534i	−1.08941	−	0.248650i
$675$	11.1840	+	14.3275i	0.430473	+	0.551465i
$676$	1.74583	−	3.62526i	0.0671474	−	0.139433i
$677$	24.6602	−	13.0333i	0.947767	−	0.500909i	0.0794061	−	0.996842i	$-0.474698\pi$
$677$	24.6602	−	13.0333i	0.947767	−	0.500909i	0.868361	+	0.495933i	$0.165174\pi$
$678$	−5.49321	+	8.44081i	−0.210966	+	0.324167i
$679$	−1.61800	+	6.03846i	−0.0620932	+	0.231735i
$680$	5.70551	+	3.88995i	0.218796	+	0.149173i
$681$	−9.89301	−	11.8734i	−0.379101	−	0.454989i
$682$	−7.77883	−	5.74104i	−0.297867	−	0.219836i
$683$	5.40991	+	11.2338i	0.207005	+	0.429849i	0.978461	−	0.206433i	$-0.0661856\pi$
$683$	5.40991	+	11.2338i	0.207005	+	0.429849i	−0.771456	+	0.636282i	$0.780471\pi$
$684$	−1.46565	−	1.34491i	−0.0560405	−	0.0514239i
$685$	9.98416	+	3.49361i	0.381475	+	0.133484i
$686$	−9.08258	−	17.1851i	−0.346774	−	0.656129i
$687$	4.74443	−	28.3993i	0.181011	−	1.08350i
$688$	−4.78725	−	4.11976i	−0.182512	−	0.157065i
$689$	37.8607	−	11.6785i	1.44238	−	0.444915i
$690$	−6.48866	−	4.57701i	−0.247019	−	0.174244i
$691$	−17.1527	−	43.7045i	−0.652521	−	1.66260i	−0.745150	−	0.666896i	$-0.767622\pi$
$691$	−17.1527	−	43.7045i	−0.652521	−	1.66260i	0.0926291	−	0.995701i	$-0.470473\pi$
$692$	−14.4261	+	3.29267i	−0.548399	+	0.125169i
$693$	−23.5958	+	16.2793i	−0.896332	+	0.618401i
$694$	8.99531	−	1.01353i	0.341457	−	0.0384730i
$695$	8.99366	−	15.5775i	0.341149	−	0.590887i
$696$	−4.91641	+	7.92647i	−0.186356	+	0.300452i
$697$	−14.9899	−	25.9632i	−0.567782	−	0.983427i
$698$	21.9419	+	29.7302i	0.830513	+	1.12530i
$699$	2.45032	−	0.813822i	0.0926797	−	0.0307816i
$700$	2.56370	−	8.31131i	0.0968988	−	0.314138i
$701$	32.2212	−	40.4042i	1.21698	−	1.52604i	0.438026	−	0.898962i	$-0.355678\pi$
$701$	32.2212	−	40.4042i	1.21698	−	1.52604i	0.778953	−	0.627082i	$-0.215751\pi$
$702$	0.743858	−	15.5501i	0.0280751	−	0.586901i
$703$	−0.546758	+	2.39550i	−0.0206214	+	0.0903481i
$704$	−0.714444	+	3.77593i	−0.0269266	+	0.142311i
$705$	−2.25100	+	2.73220i	−0.0847774	+	0.102901i
$706$	4.04923	+	0.151512i	0.152395	+	0.00570221i
$707$	3.71347	+	19.6262i	0.139659	+	0.738118i
$708$	0.386368	+	17.9958i	0.0145206	+	0.676322i
$709$	−37.0105	−	2.77355i	−1.38996	−	0.104163i	−0.641387	−	0.767217i	$-0.721641\pi$
$709$	−37.0105	−	2.77355i	−1.38996	−	0.104163i	−0.748571	+	0.663054i	$0.769260\pi$
$710$	−1.24026	+	11.0076i	−0.0465462	+	0.413109i
$711$	5.52557	+	11.3134i	0.207225	+	0.424285i
$712$	−10.9775	+	5.28650i	−0.411400	+	0.198120i
$713$	−9.08992	+	2.43564i	−0.340420	+	0.0912153i
$714$	1.29357	−	24.2315i	0.0484107	−	0.906842i
$715$	0.527624	−	14.1010i	0.0197320	−	0.527349i
$716$	−12.8741	+	0.964784i	−0.481129	+	0.0360557i
$717$	−33.5388	+	23.9368i	−1.25253	+	0.893936i
$718$	9.50477	−	10.2437i	0.354715	−	0.382292i
$719$	−15.6002	+	12.4408i	−0.581791	+	0.463962i	−0.869622	−	0.493719i	$-0.835637\pi$
$719$	−15.6002	+	12.4408i	−0.581791	+	0.463962i	0.287831	+	0.957681i	$0.407066\pi$
$720$	1.48894	+	3.36180i	0.0554894	+	0.125287i
$721$	−1.81927	−	7.97076i	−0.0677533	−	0.296847i
$722$	18.5474	−	0.693993i	0.690261	−	0.0258278i
$723$	13.3292	−	17.4708i	0.495719	−	0.649747i
$724$	−6.68138	+	3.85749i	−0.248311	+	0.143363i
$725$	−1.11363	−	18.8040i	−0.0413594	−	0.698362i
$726$	−1.55347	+	6.33889i	−0.0576546	+	0.235258i
$727$	3.19678	+	1.39474i	0.118562	+	0.0517280i	0.458336	−	0.888779i	$-0.348446\pi$
$727$	3.19678	+	1.39474i	0.118562	+	0.0517280i	−0.339774	+	0.940507i	$0.610351\pi$
$728$	−6.30790	+	3.96352i	−0.233786	+	0.146898i
$729$	9.33934	+	25.3333i	0.345901	+	0.938271i
$730$	−6.84458	−	5.45837i	−0.253329	−	0.202023i
$731$	35.1883	−	5.30379i	1.30149	−	0.196168i
$732$	−10.4601	+	20.8636i	−0.386617	+	0.771141i
$733$	32.5455	−	37.8186i	1.20210	−	1.39686i	0.306572	−	0.951847i	$-0.400818\pi$
$733$	32.5455	−	37.8186i	1.20210	−	1.39686i	0.895524	−	0.445014i	$-0.146801\pi$
$734$	2.27825	+	30.4011i	0.0840916	+	1.12212i
$735$	−1.68243	+	0.422195i	−0.0620575	+	0.0155729i
$736$	2.43995	+	2.83528i	0.0899379	+	0.104510i
$737$	−20.1878	+	20.1878i	−0.743629	+	0.743629i
$738$	0.508589	−	15.9546i	0.0187214	−	0.587296i
$739$	−44.0556	−	4.96388i	−1.62061	−	0.182599i	−0.745496	−	0.666510i	$-0.767787\pi$
$739$	−44.0556	−	4.96388i	−1.62061	−	0.182599i	−0.875117	+	0.483911i	$0.839216\pi$
$740$	2.69692	−	3.65419i	0.0991407	−	0.134331i
$741$	−2.29989	−	2.55929i	−0.0844884	−	0.0940178i
$742$	31.7626	+	8.51076i	1.16604	+	0.312440i
$743$	−14.7550	+	2.79180i	−0.541309	+	0.102421i	−0.449374	−	0.893344i	$-0.648353\pi$
$743$	−14.7550	+	2.79180i	−0.541309	+	0.102421i	−0.0919353	+	0.995765i	$0.529305\pi$
$744$	4.19049	+	1.19471i	0.153631	+	0.0438003i
$745$	−0.0293771	+	0.0200290i	−0.00107629	+	0.000733804i
$746$	2.20652	+	6.30589i	0.0807866	+	0.230875i
$747$	−18.0810	−	50.7695i	−0.661548	−	1.85756i
$748$	−13.5000	−	16.9285i	−0.493610	−	0.618967i
$749$	−16.5374	+	6.49047i	−0.604265	+	0.237157i
$750$	−15.4768	−	9.26740i	−0.565132	−	0.338398i
$751$	17.3660	+	9.17820i	0.633695	+	0.334917i	0.753078	−	0.657931i	$-0.228568\pi$
$751$	17.3660	+	9.17820i	0.633695	+	0.334917i	−0.119384	+	0.992848i	$0.538092\pi$
$752$	1.34178	−	0.990278i	0.0489297	−	0.0361117i
$753$	52.6830	+	12.9110i	1.91988	+	0.470503i
$754$	−9.78272	+	12.8300i	−0.356266	+	0.467243i
$755$		−	25.2577i		−	0.919221i
$756$	7.38896	−	10.5991i	0.268734	−	0.385485i
$757$	9.96008	+	15.8514i	0.362005	+	0.576128i	0.977219	−	0.212232i	$-0.0680733\pi$
$757$	9.96008	+	15.8514i	0.362005	+	0.576128i	−0.615214	+	0.788360i	$0.710930\pi$
$758$	−16.4288	−	5.06762i	−0.596721	−	0.184064i
$759$	15.2116	+	19.7109i	0.552144	+	0.715461i
$760$	0.756472	+	0.296894i	0.0274401	+	0.0107695i
$761$	8.52681	+	27.6432i	0.309097	+	1.00207i	0.968234	+	0.250044i	$0.0804452\pi$
$761$	8.52681	+	27.6432i	0.309097	+	1.00207i	−0.659138	+	0.752022i	$0.729079\pi$
$762$	11.3602	−	24.9458i	0.411538	−	0.903692i
$763$	−2.69620	−	3.95459i	−0.0976089	−	0.143166i
$764$	6.39924	+	4.02091i	0.231516	+	0.145471i
$765$	−19.8293	−	5.99657i	−0.716931	−	0.216807i
$766$	−12.5864	−	12.5864i	−0.454767	−	0.454767i
$767$	−2.32677	+	31.0486i	−0.0840148	+	1.12110i
$768$	−0.294853	−	1.70677i	−0.0106396	−	0.0615877i
$769$	−47.2344	+	20.6082i	−1.70332	+	0.743150i	−0.703855	+	0.710343i	$0.748540\pi$
$769$	−47.2344	+	20.6082i	−1.70332	+	0.743150i	−0.999462	+	0.0328062i	$0.989556\pi$
$770$	6.59716	−	9.67626i	0.237745	−	0.348708i
$771$	18.9329	−	34.4815i	0.681852	−	1.24182i
$772$	−7.93646	+	6.82987i	−0.285639	+	0.245813i
$773$	16.6136	−	26.4405i	0.597551	−	0.950998i	−0.401826	−	0.915716i	$-0.631624\pi$
$773$	16.6136	−	26.4405i	0.597551	−	0.950998i	0.999377	−	0.0352815i	$-0.0112328\pi$
$774$	17.4083	+	7.48079i	0.625730	+	0.268891i
$775$	−8.30621	+	2.90647i	−0.298368	+	0.104403i
$776$	−1.84299	−	1.71004i	−0.0661594	−	0.0613869i
$777$	−15.8940	−	1.44608i	−0.570194	−	0.0518779i
$778$	−14.4288	−	2.17479i	−0.517296	−	0.0779699i
$779$	−2.39972	−	2.58628i	−0.0859789	−	0.0926632i
$780$	2.00465	+	6.03576i	0.0717779	+	0.216115i
$781$	13.8897	−	31.8355i	0.497012	−	1.13916i
$782$	−21.0759			−0.753672
$783$	6.93495	−	27.1092i	0.247835	−	0.968802i
$784$	0.817134			0.0291833
$785$	1.58562	−	3.63429i	0.0565933	−	0.129713i
$786$	5.85287	+	17.6223i	0.208765	+	0.628567i
$787$	−14.0072	−	15.0962i	−0.499303	−	0.538120i	0.432237	−	0.901760i	$-0.357724\pi$
$787$	−14.0072	−	15.0962i	−0.499303	−	0.538120i	−0.931540	+	0.363640i	$0.881534\pi$
$788$	−3.68796	−	0.555870i	−0.131378	−	0.0198020i
$789$	−1.85659	−	0.168918i	−0.0660962	−	0.00601363i
$790$	−3.77057	−	3.49858i	−0.134151	−	0.124474i
$791$	−13.6465	+	4.77510i	−0.485212	+	0.169783i
$792$	−1.35418	−	11.4490i	−0.0481189	−	0.406821i
$793$	−21.4786	+	34.1829i	−0.762726	+	1.21387i
$794$	−18.7267	+	16.1157i	−0.664587	+	0.571924i
$795$	13.5112	−	24.6073i	0.479194	−	0.872731i
$796$	−0.104235	+	0.152885i	−0.00369452	+	0.00541887i
$797$	4.26634	−	1.86139i	0.151122	−	0.0659337i	−0.322970	−	0.946409i	$-0.604681\pi$
$797$	4.26634	−	1.86139i	0.151122	−	0.0659337i	0.474092	+	0.880476i	$0.342777\pi$
$798$	−0.486135	−	2.81402i	−0.0172090	−	0.0996151i
$799$	−0.702168	+	9.36978i	−0.0248409	+	0.331479i
$800$	2.47341	+	2.47341i	0.0874482	+	0.0874482i
$801$	26.6568	−	25.0098i	0.941872	−	0.883679i
$802$	4.13935	+	2.60093i	0.146166	+	0.0918420i
$803$	15.4634	+	22.6806i	0.545691	+	0.800382i
$804$	5.33298	−	11.7106i	0.188080	−	0.413003i
$805$	−3.36004	−	10.8930i	−0.118426	−	0.383927i
$806$	7.01637	+	2.75372i	0.247141	+	0.0969957i
$807$	9.83244	+	12.7407i	0.346118	+	0.448495i
$808$	−7.67613	−	2.36777i	−0.270045	−	0.0832979i
$809$	−13.5944	−	21.6353i	−0.477953	−	0.760657i	0.517523	−	0.855669i	$-0.326854\pi$
$809$	−13.5944	−	21.6353i	−0.477953	−	0.760657i	−0.995476	+	0.0950116i	$0.969711\pi$
$810$	−7.28702	−	8.28053i	−0.256040	−	0.290948i
$811$			35.6522i			1.25192i	0.779857	+	0.625958i	$0.215292\pi$
$811$			35.6522i			1.25192i	−0.779857	+	0.625958i	$0.784708\pi$
$812$	−12.5398	+	4.69646i	−0.440060	+	0.164813i
$813$	−8.27498	−	2.02794i	−0.290216	−	0.0711231i
$814$	−11.4580	+	8.45637i	−0.401602	+	0.296396i
$815$	2.66435	+	1.40815i	0.0933281	+	0.0493253i
$816$	8.37270	+	5.01352i	0.293103	+	0.175508i
$817$	3.89835	−	1.52999i	0.136386	−	0.0535276i
$818$	−11.9342	−	14.9650i	−0.417270	−	0.523240i
$819$	14.4842	−	17.0206i	0.506119	−	0.594746i
$820$	2.15383	+	6.15529i	0.0752149	+	0.214952i
$821$	−31.8305	+	21.7017i	−1.11089	+	0.757394i	−0.972481	−	0.232981i	$-0.925152\pi$
$821$	−31.8305	+	21.7017i	−1.11089	+	0.757394i	−0.138411	+	0.990375i	$0.544200\pi$
$822$	14.3760	+	4.09862i	0.501422	+	0.142956i
$823$	−0.196121	+	0.0371081i	−0.00683635	+	0.00129351i	−0.189329	−	0.981914i	$-0.560631\pi$
$823$	−0.196121	+	0.0371081i	−0.00683635	+	0.00129351i	0.182492	+	0.983207i	$0.441584\pi$
$824$	3.17597	+	0.850998i	0.110640	+	0.0296459i
$825$	15.5623	+	17.3176i	0.541810	+	0.602920i
$826$	−15.3447	+	20.7914i	−0.533912	+	0.723425i
$827$	−55.1902	−	6.21845i	−1.91915	−	0.216237i	−0.930482	−	0.366338i	$-0.880611\pi$
$827$	−55.1902	−	6.21845i	−1.91915	−	0.216237i	−0.988671	+	0.150101i	$0.952040\pi$
$828$	−9.53469	−	5.91771i	−0.331353	−	0.205655i
$829$	−9.46118	+	9.46118i	−0.328600	+	0.328600i	−0.852054	−	0.523454i	$-0.824643\pi$
$829$	−9.46118	+	9.46118i	−0.328600	+	0.328600i	0.523454	+	0.852054i	$0.324643\pi$
$830$	14.3614	+	16.6882i	0.498491	+	0.579257i
$831$	−38.2095	+	9.58842i	−1.32547	+	0.332618i
$832$	−0.223895	−	2.98766i	−0.00776215	−	0.103579i
$833$	−3.00314	+	3.48971i	−0.104053	+	0.120911i
$834$	11.3930	−	22.7243i	0.394507	−	0.786879i
$835$	−3.68186	+	0.554951i	−0.127416	+	0.0192049i
$836$	−1.99219	−	1.58872i	−0.0689015	−	0.0549471i
$837$	−13.0676	+	0.352913i	−0.451684	+	0.0121984i
$838$	−10.1475	+	6.37610i	−0.350539	+	0.220259i
$839$	4.37794	+	1.91008i	0.151143	+	0.0659431i	0.474102	−	0.880470i	$-0.342773\pi$
$839$	4.37794	+	1.91008i	0.151143	+	0.0659431i	−0.322959	+	0.946413i	$0.604678\pi$
$840$	−1.25639	+	5.12668i	−0.0433496	+	0.176887i
$841$	−21.8652	+	19.0503i	−0.753973	+	0.656906i
$842$	22.5420	−	13.0147i	0.776850	−	0.448514i
$843$	28.4485	−	37.2880i	0.979819	−	1.28427i
$844$	−15.0640	+	0.563656i	−0.518525	+	0.0194018i
$845$	−1.09735	−	4.80781i	−0.0377500	−	0.165394i
$846$	−2.94852	+	4.04172i	−0.101372	+	0.138957i
$847$	−7.32531	+	5.84174i	−0.251701	+	0.200725i
$848$	−8.99490	+	9.69420i	−0.308886	+	0.332900i
$849$	−39.1854	+	27.9668i	−1.34484	+	0.959819i
$850$	−19.6534	+	1.47282i	−0.674107	+	0.0505173i
$851$	−0.518298	+	13.8518i	−0.0177670	+	0.474834i
$852$	−0.834526	+	15.6326i	−0.0285904	+	0.535563i
$853$	−15.7147	+	4.21075i	−0.538063	+	0.144173i	−0.517609	−	0.855617i	$-0.673178\pi$
$853$	−15.7147	+	4.21075i	−0.538063	+	0.144173i	−0.0204538	+	0.999791i	$0.506511\pi$
$854$	−30.1873	+	14.5374i	−1.03299	+	0.497461i
$855$	−2.43210	−	0.168733i	−0.0831760	−	0.00577053i
$856$	0.799950	−	7.09975i	0.0273417	−	0.242665i
$857$	40.3351	+	3.02270i	1.37782	+	0.103253i	0.742941	−	0.669357i	$-0.233430\pi$
$857$	40.3351	+	3.02270i	1.37782	+	0.103253i	0.634881	+	0.772610i	$0.281049\pi$
$858$	−0.428057	−	19.9375i	−0.0146136	−	0.680654i
$859$	1.52241	+	8.04614i	0.0519441	+	0.274531i	0.998903	−	0.0468230i	$-0.0149097\pi$
$859$	1.52241	+	8.04614i	0.0519441	+	0.274531i	−0.946959	+	0.321354i	$0.895862\pi$
$860$	−7.73526	−	0.289433i	−0.263770	−	0.00986959i
$861$	14.5716	−	17.6866i	0.496598	−	0.602757i
$862$	6.50817	−	34.3965i	0.221669	−	1.17155i
$863$	6.51765	−	28.5557i	0.221863	−	0.972047i	−0.734211	−	0.678922i	$-0.762448\pi$
$863$	6.51765	−	28.5557i	0.221863	−	0.972047i	0.956074	−	0.293125i	$-0.0946953\pi$
$864$	2.38009	+	4.61900i	0.0809724	+	0.157142i
$865$	−11.3071	+	14.1787i	−0.384454	+	0.482090i
$866$	−0.826552	+	2.67962i	−0.0280874	+	0.0910571i
$867$	−24.2386	+	8.05034i	−0.823187	+	0.273404i
$868$	3.71470	+	5.03324i	0.126085	+	0.170839i
$869$	8.06415	+	13.9675i	0.273558	+	0.473816i
$870$	1.34603	+	11.3520i	0.0456347	+	0.384870i
$871$	11.1291	−	19.2762i	0.377096	−	0.653150i
$872$	1.91277	−	0.215517i	0.0647744	−	0.00729833i
$873$	6.81346	+	3.23487i	0.230601	+	0.109484i
$874$	−2.41809	+	0.551913i	−0.0817930	+	0.0186687i
$875$	−9.46132	−	24.1071i	−0.319851	−	0.814967i
$876$	−10.1101	−	7.13152i	−0.341588	−	0.240952i
$877$	−21.5761	+	6.65536i	−0.728575	+	0.224735i	−0.636783	−	0.771043i	$-0.719735\pi$
$877$	−21.5761	+	6.65536i	−0.728575	+	0.224735i	−0.0917912	+	0.995778i	$0.529259\pi$
$878$	1.04026	+	0.895218i	0.0351072	+	0.0302122i
$879$	6.71739	−	40.2091i	0.226572	−	1.35622i
$880$	2.20077	+	4.16405i	0.0741878	+	0.140370i
$881$	10.9898	+	3.84549i	0.370255	+	0.129558i	0.508992	−	0.860771i	$-0.330018\pi$
$881$	10.9898	+	3.84549i	0.370255	+	0.129558i	−0.138736	+	0.990329i	$0.544304\pi$
$882$	−2.33846	+	0.735514i	−0.0787400	+	0.0247660i
$883$	−20.9382	−	43.4785i	−0.704625	−	1.46317i	−0.878173	−	0.478344i	$-0.841237\pi$
$883$	−20.9382	−	43.4785i	−0.704625	−	1.46317i	0.173547	−	0.984826i	$-0.444477\pi$
$884$	13.5822	+	10.0241i	0.456819	+	0.337148i
$885$	14.1216	+	16.9484i	0.474691	+	0.569714i
$886$	18.2416	+	12.4369i	0.612837	+	0.417826i
$887$	4.83268	−	18.0358i	0.162266	−	0.605583i	−0.836108	−	0.548566i	$-0.815174\pi$
$887$	4.83268	−	18.0358i	0.162266	−	0.605583i	0.998373	−	0.0570179i	$-0.0181592\pi$
$888$	3.50096	−	5.37953i	0.117484	−	0.180525i
$889$	34.7908	−	18.3875i	1.16685	−	0.616696i
$890$	−6.47908	+	13.4539i	−0.217179	+	0.450977i
$891$	14.1808	+	31.5455i	0.475073	+	1.05681i
$892$	−21.6997	−	4.95282i	−0.726561	−	0.165833i
$893$	0.164804	+	1.09341i	0.00551497	+	0.0365894i
$894$	−0.0397796	+	0.0306992i	−0.00133043	+	0.00102673i
$895$	−11.5988	+	10.7621i	−0.387706	+	0.359739i
$896$	1.16188	−	2.19839i	0.0388157	−	0.0734429i
$897$	−15.4325	−	11.7741i	−0.515277	−	0.393126i
$898$	−17.5921	−	10.1568i	−0.587057	−	0.338938i
$899$	11.3572	+	7.38651i	0.378783	+	0.246354i
$900$	−9.30471	−	4.85200i	−0.310157	−	0.161733i
$901$	−8.34259	−	74.0425i	−0.277932	−	2.46671i
$902$	−0.764567	−	20.4335i	−0.0254573	−	0.680361i
$903$	13.2236	+	23.7707i	0.440053	+	0.791039i
$904$	0.866595	−	5.74948i	0.0288225	−	0.191225i
$905$	−3.45445	+	8.80180i	−0.114830	+	0.292582i
$906$	−2.10003	−	35.6333i	−0.0697690	−	1.18384i
$907$	−22.5382	−	4.26446i	−0.748368	−	0.141599i	−0.202281	−	0.979327i	$-0.564836\pi$
$907$	−22.5382	−	4.26446i	−0.748368	−	0.141599i	−0.546087	+	0.837728i	$0.683883\pi$
$908$	8.03916	+	3.87146i	0.266789	+	0.128479i
$909$	24.0987	−	0.133349i	0.799302	−	0.00442290i
$910$	−3.01557	+	8.61800i	−0.0999651	+	0.285684i
$911$	−13.0524	−	48.7122i	−0.432445	−	1.61391i	−0.747107	−	0.664704i	$-0.768558\pi$
$911$	−13.0524	−	48.7122i	−0.432445	−	1.61391i	0.314661	−	0.949204i	$-0.398109\pi$
$912$	1.09191	+	0.355958i	0.0361567	+	0.0117869i
$913$	−27.6068	−	63.2755i	−0.913652	−	2.09411i
$914$	1.86700	+	4.27922i	0.0617550	+	0.141544i
$915$	5.91986	+	27.9846i	0.195704	+	0.925144i
$916$	4.30250	+	16.0571i	0.142158	+	0.530543i
$917$	−8.80440	+	25.1615i	−0.290747	+	0.830907i
$918$	−28.4736	−	6.81121i	−0.939768	−	0.224803i
$919$	−19.0320	−	9.16531i	−0.627807	−	0.302336i	0.0927948	−	0.995685i	$-0.470420\pi$
$919$	−19.0320	−	9.16531i	−0.627807	−	0.302336i	−0.720601	+	0.693350i	$0.756134\pi$
$920$	4.50453	+	0.852304i	0.148510	+	0.0280996i
$921$	30.6958	+	15.3895i	1.01146	+	0.507102i
$922$	−9.80279	+	24.9771i	−0.322838	+	0.822577i
$923$	−4.03595	+	26.7768i	−0.132845	+	0.881368i
$924$	8.50268	−	14.1997i	0.279718	−	0.467135i
$925$	0.484672	+	12.9531i	0.0159359	+	0.425896i
$926$	−2.77125	−	24.5956i	−0.0910691	−	0.808260i
$927$	−9.85493	+	0.423365i	−0.323678	+	0.0139051i
$928$	0.686594	−	5.34122i	0.0225386	−	0.175334i
$929$	45.4559	+	26.2440i	1.49136	+	0.861037i	0.999951	−	0.00989284i	$-0.00314904\pi$
$929$	45.4559	+	26.2440i	1.49136	+	0.861037i	0.491408	+	0.870929i	$0.336482\pi$
$930$	4.92828	−	2.05735i	0.161605	−	0.0674633i
$931$	−0.253173	+	0.479026i	−0.00829740	+	0.0156994i
$932$	−1.09275	+	1.01392i	−0.0357941	+	0.0332121i
$933$	29.9620	+	12.3137i	0.980912	+	0.403131i
$934$	−1.09781	−	7.28350i	−0.0359215	−	0.238323i
$935$	−25.8716	−	5.90502i	−0.846091	−	0.193115i
$936$	3.32998	+	8.34851i	0.108844	+	0.272880i
$937$	2.06710	−	4.29237i	0.0675291	−	0.140226i	−0.864472	−	0.502681i	$-0.832347\pi$
$937$	2.06710	−	4.29237i	0.0675291	−	0.140226i	0.932001	+	0.362455i	$0.118061\pi$
$938$	16.3323	−	8.63187i	0.533268	−	0.281840i
$939$	17.8313	+	35.0802i	0.581901	+	1.14480i
$940$	0.528986	−	1.97420i	0.0172536	−	0.0643914i
$941$	10.2538	+	6.99089i	0.334263	+	0.227897i	0.718806	−	0.695210i	$-0.244689\pi$
$941$	10.2538	+	6.99089i	0.334263	+	0.227897i	−0.384544	+	0.923107i	$0.625641\pi$
$942$	1.93481	−	5.25905i	0.0630396	−	0.171349i
$943$	−16.0142	−	11.8190i	−0.521495	−	0.384881i
$944$	−4.50903	−	9.36310i	−0.146756	−	0.304743i
$945$	−1.01908	−	15.8023i	−0.0331506	−	0.514050i
$946$	22.9094	+	8.01634i	0.744848	+	0.260634i
$947$	19.1737	+	36.2785i	0.623063	+	1.17889i	0.970480	+	0.241182i	$0.0775350\pi$
$947$	19.1737	+	36.2785i	0.623063	+	1.17889i	−0.347417	+	0.937711i	$0.612941\pi$
$948$	−5.61037	−	4.62226i	−0.182216	−	0.150124i
$949$	−16.2214	−	13.9597i	−0.526570	−	0.453150i
$950$	−2.21632	+	0.683643i	−0.0719068	+	0.0221803i
$951$	0.389935	−	4.28581i	0.0126445	−	0.138977i
$952$	5.11843	+	13.0415i	0.165889	+	0.422679i
$953$	10.5760	−	2.41391i	0.342592	−	0.0781943i	−0.0477635	−	0.998859i	$-0.515209\pi$
$953$	10.5760	−	2.41391i	0.342592	−	0.0781943i	0.390355	+	0.920664i	$0.372352\pi$
$954$	17.0156	−	35.8391i	0.550899	−	1.16033i
$955$	9.20433	−	1.03708i	0.297845	−	0.0335591i
$956$	11.8947	−	20.6023i	0.384703	−	0.666326i
$957$	6.45876	−	35.2577i	0.208782	−	1.13972i
$958$	−7.14905	−	12.3825i	−0.230975	−	0.400061i
$959$	12.7438	+	17.2672i	0.411518	+	0.557587i
$960$	−1.58675	−	1.41013i	−0.0512120	−	0.0455116i
$961$	−7.27185	+	23.5748i	−0.234576	+	0.760476i
$962$	6.92221	−	8.68018i	0.223181	−	0.279860i
$963$	4.10131	+	21.0380i	0.132163	+	0.677940i
$964$	−2.82318	+	12.3691i	−0.0909284	+	0.398383i
$965$	−2.38575	+	12.6090i	−0.0768001	+	0.405898i
$966$	−5.64600	−	15.0883i	−0.181657	−	0.485459i
$967$	50.0346	+	1.87216i	1.60900	+	0.0602047i	0.826682	−	0.562669i	$-0.190226\pi$
$967$	50.0346	+	1.87216i	1.60900	+	0.0602047i	0.782322	+	0.622874i	$0.214035\pi$
$968$	−0.700526	−	3.70237i	−0.0225158	−	0.118999i
$969$	−5.53318	+	3.35496i	−0.177751	+	0.107777i
$970$	−3.07268	−	0.230265i	−0.0986577	−	0.00739337i
$971$	−2.01261	+	17.8624i	−0.0645876	+	0.573231i	0.919187	+	0.393822i	$0.128847\pi$
$971$	−2.01261	+	17.8624i	−0.0645876	+	0.573231i	−0.983775	+	0.179409i	$0.942581\pi$
$972$	−10.9689	−	11.0762i	−0.351829	−	0.355270i
$973$	32.8795	−	15.8340i	1.05407	−	0.507613i
$974$	12.7072	−	3.40489i	0.407165	−	0.109100i
$975$	−15.2137	−	9.90098i	−0.487230	−	0.317085i
$976$	0.503836	−	13.4653i	0.0161274	−	0.431014i
$977$	7.09194	−	0.531467i	0.226891	−	0.0170032i	0.0392007	−	0.999231i	$-0.487519\pi$
$977$	7.09194	−	0.531467i	0.226891	−	0.0170032i	0.187691	+	0.982228i	$0.439900\pi$
$978$	3.87592	+	1.76508i	0.123938	+	0.0564409i
$979$	31.8475	−	34.3235i	1.01785	−	1.09698i
$980$	0.782982	−	0.624407i	0.0250114	−	0.0199460i
$981$	−5.27993	+	2.33847i	−0.168575	+	0.0746617i
$982$	−5.75335	−	25.2071i	−0.183597	−	0.804390i
$983$	16.5905	−	0.620774i	0.529156	−	0.0197996i	0.228521	−	0.973539i	$-0.426611\pi$
$983$	16.5905	−	0.620774i	0.529156	−	0.0197996i	0.300635	+	0.953739i	$0.402801\pi$
$984$	3.55038	+	8.50474i	0.113182	+	0.271121i
$985$	−3.95858	+	2.28549i	−0.126131	+	0.0728217i
$986$	20.2872	+	22.5623i	0.646076	+	0.718531i
$987$	−6.89598	+	2.00738i	−0.219501	+	0.0638955i
$988$	1.82082	+	0.794415i	0.0579280	+	0.0252737i
$989$	20.0040	−	12.5694i	0.636092	−	0.399683i
$990$	−10.0462	−	9.93566i	−0.319290	−	0.315776i
$991$	40.4236	+	32.2367i	1.28410	+	1.02403i	0.997827	+	0.0658846i	$0.0209869\pi$
$991$	40.4236	+	32.2367i	1.28410	+	1.02403i	0.286270	+	0.958149i	$0.407585\pi$
$992$	−2.48769	+	0.374958i	−0.0789841	+	0.0119049i
$993$	3.85503	+	5.85251i	0.122336	+	0.185724i
$994$	−14.6596	+	17.0348i	−0.464974	+	0.540310i
$995$	0.0169473	+	0.226146i	0.000537265	+	0.00716931i
$996$	21.6484	+	22.3495i	0.685957	+	0.708171i
$997$	33.2040	+	38.5838i	1.05158	+	1.22196i	0.974371	+	0.224946i	$0.0722206\pi$
$997$	33.2040	+	38.5838i	1.05158	+	1.22196i	0.0772112	+	0.997015i	$0.475398\pi$
$998$	15.6156	−	15.6156i	0.494303	−	0.494303i
$999$	−5.17678	+	18.5463i	−0.163786	+	0.586779i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	522.2.x.a.101.10	✓	720
9.5	odd	6	inner	522.2.x.a.275.27	yes	720
29.27	odd	28	inner	522.2.x.a.317.27	yes	720
261.230	even	84	inner	522.2.x.a.491.10	yes	720

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
522.2.x.a.101.10	✓	720	1.1	even	1	trivial
522.2.x.a.275.27	yes	720	9.5	odd	6	inner
522.2.x.a.317.27	yes	720	29.27	odd	28	inner
522.2.x.a.491.10	yes	720	261.230	even	84	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:	\( N \)	\(=\)	\( 522 = 2 \cdot 3^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	522.x (of order \(84\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.399892 + 0.916562i) q^{2} +(0.545940 + 1.64376i) q^{3} +(-0.680173 - 0.733052i) q^{4} +(-1.21190 - 0.182665i) q^{5} +(-1.72493 - 0.156939i) q^{6} +(-1.82276 - 1.69127i) q^{7} +(0.943883 - 0.330279i) q^{8} +(-2.40390 + 1.79479i) q^{9} +(0.652054 - 1.03774i) q^{10} +(-2.91283 + 2.50669i) q^{11} +(0.833628 - 1.51824i) q^{12} +(1.68773 - 2.47545i) q^{13} +(2.27907 - 0.994346i) q^{14} +(-0.361368 - 2.09180i) q^{15} +(-0.0747301 + 0.997204i) q^{16} +(-3.98408 - 3.98408i) q^{17} +(-0.683736 - 2.92105i) q^{18} +(-0.561434 - 0.352773i) q^{19} +(0.690400 + 1.01263i) q^{20} +(1.78493 - 3.91952i) q^{21} +(-1.13272 - 3.67219i) q^{22} +(-3.48204 - 1.36660i) q^{23} +(1.05820 + 1.37121i) q^{24} +(-3.34252 - 1.03103i) q^{25} +(1.59399 + 2.53682i) q^{26} +(-4.26259 - 2.97159i) q^{27} +2.48654i q^{28} +(1.88875 + 5.04308i) q^{29} +(2.06177 + 0.505278i) q^{30} +(2.02420 - 1.49392i) q^{31} +(-0.884115 - 0.467269i) q^{32} +(-5.71063 - 3.41949i) q^{33} +(5.24486 - 2.05846i) q^{34} +(1.90007 + 2.38261i) q^{35} +(2.95074 + 0.541416i) q^{36} +(-1.22391 - 3.49773i) q^{37} +(0.547851 - 0.373519i) q^{38} +(4.99044 + 1.42278i) q^{39} +(-1.20422 + 0.227852i) q^{40} +(5.13959 + 1.37715i) q^{41} +(2.87870 + 3.20339i) q^{42} +(-3.75049 + 5.08174i) q^{43} +(3.81876 + 0.430271i) q^{44} +(3.24113 - 1.73600i) q^{45} +(2.64501 - 2.64501i) q^{46} +(-1.08778 - 1.26402i) q^{47} +(-1.67996 + 0.421575i) q^{48} +(-0.0610645 - 0.814849i) q^{49} +(2.28165 - 2.65133i) q^{50} +(4.37381 - 8.72395i) q^{51} +(-2.96258 + 0.446537i) q^{52} +(10.3393 + 8.24530i) q^{53} +(4.42822 - 2.71861i) q^{54} +(3.98794 - 2.50579i) q^{55} +(-2.27907 - 0.994346i) q^{56} +(0.273364 - 1.11546i) q^{57} +(-5.37759 - 0.285525i) q^{58} +(-8.99996 + 5.19613i) q^{59} +(-1.28761 + 1.68769i) q^{60} +(-13.4653 + 0.503836i) q^{61} +(0.559815 + 2.45271i) q^{62} +(7.41721 + 0.794181i) q^{63} +(0.781831 - 0.623490i) q^{64} +(-2.49754 + 2.69171i) q^{65} +(5.41781 - 3.86672i) q^{66} +(7.40845 - 0.555186i) q^{67} +(-0.210675 + 5.63040i) q^{68} +(0.345378 - 6.46972i) q^{69} +(-2.94364 + 0.788745i) q^{70} +(-8.14325 + 3.92158i) q^{71} +(-1.67622 + 2.48803i) q^{72} +(0.799776 - 7.09821i) q^{73} +(3.69531 + 0.276926i) q^{74} +(-0.130048 - 6.05719i) q^{75} +(0.123272 + 0.651507i) q^{76} +(9.54889 + 0.357294i) q^{77} +(-3.29970 + 4.00509i) q^{78} +(0.780250 - 4.12372i) q^{79} +(0.272720 - 1.19486i) q^{80} +(2.55746 - 8.62899i) q^{81} +(-3.31752 + 4.16004i) q^{82} +(-5.29509 + 17.1663i) q^{83} +(-4.08727 + 1.35750i) q^{84} +(4.10057 + 5.55607i) q^{85} +(-3.15794 - 5.46971i) q^{86} +(-7.25846 + 5.85788i) q^{87} +(-1.92146 + 3.32807i) q^{88} +(-12.1075 + 1.36419i) q^{89} +(0.295049 + 3.66491i) q^{90} +(-7.26299 + 1.65773i) q^{91} +(1.36660 + 3.48204i) q^{92} +(3.56074 + 2.51170i) q^{93} +(1.59355 - 0.491546i) q^{94} +(0.615964 + 0.530080i) q^{95} +(0.285404 - 1.70837i) q^{96} +(-1.17477 - 2.22278i) q^{97} +(0.771279 + 0.269882i) q^{98} +(2.50316 - 11.2537i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 720 q + 24 q^{11} - 12 q^{14} - 20 q^{15} - 60 q^{16} + 84 q^{21} + 20 q^{24} + 60 q^{25} - 144 q^{27} - 12 q^{29} + 72 q^{30} + 84 q^{33} - 40 q^{36} + 40 q^{39} - 12 q^{41} - 104 q^{45} + 24 q^{46} - 24 q^{47}+ \cdots - 84 q^{99}+O(q^{100}) \) 720 * q + 24 * q^11 - 12 * q^14 - 20 * q^15 - 60 * q^16 + 84 * q^21 + 20 * q^24 + 60 * q^25 - 144 * q^27 - 12 * q^29 + 72 * q^30 + 84 * q^33 - 40 * q^36 + 40 * q^39 - 12 * q^41 - 104 * q^45 + 24 * q^46 - 24 * q^47 + 60 * q^49 + 16 * q^54 - 144 * q^55 + 12 * q^56 + 12 * q^58 + 120 * q^59 - 16 * q^60 - 12 * q^61 + 36 * q^65 - 48 * q^66 - 36 * q^68 + 52 * q^69 - 180 * q^74 - 184 * q^75 - 132 * q^77 - 68 * q^78 + 12 * q^79 - 216 * q^81 + 96 * q^82 - 432 * q^83 - 80 * q^84 - 48 * q^85 - 200 * q^87 - 112 * q^90 - 252 * q^92 - 112 * q^93 + 192 * q^95 + 24 * q^97 - 84 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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