LMFDB - Embedded newform 128.2.k.a.93.15

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [128,2,Mod(5,128)] 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("128.5"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(128, base_ring=CyclotomicField(32)) chi = DirichletCharacter(H, H._module([0, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 128 = 2^{7} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	128.k (of order $32$, degree $16$, minimal)

Newform invariants

comment:select newform

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

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.02208514587$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$15$ over $\Q(\zeta_{32})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label			93.15
Character	$\chi$	$=$	128.93
Dual form			128.2.k.a.117.15

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.37729 - 0.321062i) q^{2} +(-0.194873 - 0.0191934i) q^{3} +(1.79384 - 0.884388i) q^{4} +(-0.448340 - 0.838784i) q^{5} +(-0.274559 + 0.0361316i) q^{6} +(0.394539 + 1.98348i) q^{7} +(2.18669 - 1.79399i) q^{8} +(-2.90475 - 0.577790i) q^{9} +(-0.886794 - 1.01130i) q^{10} +(1.96341 + 1.61133i) q^{11} +(-0.366546 + 0.137914i) q^{12} +(-3.43371 - 1.83536i) q^{13} +(1.18021 + 2.60515i) q^{14} +(0.0712704 + 0.172062i) q^{15} +(2.43572 - 3.17290i) q^{16} +(-2.58925 + 6.25100i) q^{17} +(-4.18618 + 0.136820i) q^{18} +(1.58612 - 0.481145i) q^{19} +(-1.54606 - 1.10814i) q^{20} +(-0.0388155 - 0.394100i) q^{21} +(3.22152 + 1.58889i) q^{22} +(-4.28415 + 2.86258i) q^{23} +(-0.460560 + 0.307631i) q^{24} +(2.27530 - 3.40523i) q^{25} +(-5.31847 - 1.42538i) q^{26} +(1.11712 + 0.338875i) q^{27} +(2.46190 + 3.20912i) q^{28} +(-3.65386 - 4.45224i) q^{29} +(0.153402 + 0.214096i) q^{30} +(-1.49937 + 1.49937i) q^{31} +(2.33598 - 5.15201i) q^{32} +(-0.351690 - 0.351690i) q^{33} +(-1.55918 + 9.44072i) q^{34} +(1.48682 - 1.22021i) q^{35} +(-5.72164 + 1.53246i) q^{36} +(0.443662 - 1.46256i) q^{37} +(2.03007 - 1.17192i) q^{38} +(0.633913 + 0.423567i) q^{39} +(-2.48515 - 1.02984i) q^{40} +(1.49204 + 2.23299i) q^{41} +(-0.179990 - 0.530327i) q^{42} +(10.6930 - 1.05317i) q^{43} +(4.94709 + 1.15405i) q^{44} +(0.817672 + 2.69550i) q^{45} +(-4.98144 + 5.31807i) q^{46} +(-1.16814 - 0.483860i) q^{47} +(-0.535555 + 0.571564i) q^{48} +(2.68863 - 1.11367i) q^{49} +(2.04045 - 5.42049i) q^{50} +(0.624553 - 1.16846i) q^{51} +(-7.78270 - 0.255602i) q^{52} +(5.69513 - 6.93953i) q^{53} +(1.64740 + 0.108064i) q^{54} +(0.471284 - 2.36930i) q^{55} +(4.42107 + 3.62945i) q^{56} +(-0.318328 + 0.0633194i) q^{57} +(-6.46186 - 4.95890i) q^{58} +(-1.42489 + 0.761620i) q^{59} +(0.280017 + 0.245621i) q^{60} +(0.332738 - 3.37835i) q^{61} +(-1.58368 + 2.54646i) q^{62} -5.98947i q^{63} +(1.56321 - 7.84579i) q^{64} +3.70301i q^{65} +(-0.597293 - 0.371464i) q^{66} +(-0.689017 + 6.99571i) q^{67} +(0.883612 + 13.5032i) q^{68} +(0.889810 - 0.475613i) q^{69} +(1.65602 - 2.15793i) q^{70} +(-7.67052 + 1.52576i) q^{71} +(-7.38833 + 3.94764i) q^{72} +(0.201048 - 1.01074i) q^{73} +(0.141479 - 2.15680i) q^{74} +(-0.508753 + 0.619918i) q^{75} +(2.41973 - 2.26584i) q^{76} +(-2.42140 + 4.53012i) q^{77} +(1.00907 + 0.379848i) q^{78} +(13.7185 - 5.68239i) q^{79} +(-3.75341 - 0.620505i) q^{80} +(7.99745 + 3.31265i) q^{81} +(2.77189 + 2.59644i) q^{82} +(-4.86403 - 16.0345i) q^{83} +(-0.418166 - 0.672624i) q^{84} +(6.40410 - 0.630749i) q^{85} +(14.3892 - 4.88364i) q^{86} +(0.626587 + 0.937753i) q^{87} +(7.18408 + 0.00113870i) q^{88} +(3.43547 + 2.29551i) q^{89} +(1.99159 + 3.44996i) q^{90} +(2.28566 - 7.53482i) q^{91} +(-5.15345 + 8.92386i) q^{92} +(0.320966 - 0.263410i) q^{93} +(-1.76421 - 0.291369i) q^{94} +(-1.11470 - 1.11470i) q^{95} +(-0.554106 + 0.959154i) q^{96} +(-2.61992 + 2.61992i) q^{97} +(3.34545 - 2.39705i) q^{98} +(-4.77221 - 5.81495i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 16 q^{2} - 16 q^{3} - 16 q^{4} - 16 q^{5} - 16 q^{6} - 16 q^{7} - 16 q^{8} - 16 q^{9} - 16 q^{10} - 16 q^{11} - 16 q^{12} - 16 q^{13} - 16 q^{14} - 16 q^{15} - 16 q^{16} - 16 q^{17} - 16 q^{18}+ \cdots - 16 q^{99}+O(q^{100}) $ 240 * q - 16 * q^2 - 16 * q^3 - 16 * q^4 - 16 * q^5 - 16 * q^6 - 16 * q^7 - 16 * q^8 - 16 * q^9 - 16 * q^10 - 16 * q^11 - 16 * q^12 - 16 * q^13 - 16 * q^14 - 16 * q^15 - 16 * q^16 - 16 * q^17 - 16 * q^18 - 16 * q^19 - 16 * q^20 - 16 * q^21 - 16 * q^22 - 16 * q^23 - 16 * q^24 - 16 * q^25 - 16 * q^26 - 16 * q^27 - 16 * q^28 - 16 * q^29 - 16 * q^30 - 16 * q^31 - 16 * q^32 - 16 * q^33 - 16 * q^34 - 16 * q^35 - 16 * q^36 - 16 * q^37 - 16 * q^38 - 16 * q^39 - 16 * q^40 - 16 * q^41 - 16 * q^42 - 16 * q^43 - 16 * q^44 - 16 * q^45 - 16 * q^46 - 16 * q^47 - 16 * q^48 - 16 * q^49 + 32 * q^50 - 16 * q^51 + 80 * q^52 - 16 * q^53 + 112 * q^54 - 16 * q^55 + 96 * q^56 - 16 * q^57 + 128 * q^58 - 16 * q^59 + 176 * q^60 - 16 * q^61 + 80 * q^62 + 176 * q^64 + 176 * q^66 - 16 * q^67 + 80 * q^68 - 16 * q^69 + 176 * q^70 - 16 * q^71 + 128 * q^72 - 16 * q^73 + 96 * q^74 - 16 * q^75 + 112 * q^76 - 16 * q^77 + 80 * q^78 - 16 * q^79 + 32 * q^80 - 16 * q^81 - 16 * q^82 - 16 * q^83 - 16 * q^84 - 16 * q^85 - 16 * q^86 - 16 * q^87 - 16 * q^88 - 16 * q^89 - 16 * q^90 - 16 * q^91 - 16 * q^92 - 16 * q^93 - 16 * q^94 - 16 * q^95 - 16 * q^96 - 16 * q^97 - 16 * q^98 - 16 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/128\mathbb{Z}\right)^\times$.

$n$	$5$	$127$
$\chi(n)$	$e\left(\frac{11}{32}\right)$	$1$

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 $

$2$	1.37729	−	0.321062i	0.973889	−	0.227025i
$2$	1.37729	−	0.321062i	0.973889	−	0.227025i
$3$	−0.194873	−	0.0191934i	−0.112510	−	0.0110813i	0.0416053	−	0.999134i	$-0.486753\pi$
$3$	−0.194873	−	0.0191934i	−0.112510	−	0.0110813i	−0.154116	+	0.988053i	$0.549253\pi$
$4$	1.79384	−	0.884388i	0.896919	−	0.442194i
$5$	−0.448340	−	0.838784i	−0.200504	−	0.375116i	0.761495	−	0.648171i	$-0.224466\pi$
$5$	−0.448340	−	0.838784i	−0.200504	−	0.375116i	−0.961998	+	0.273055i	$0.911966\pi$
$6$	−0.274559	+	0.0361316i	−0.112088	+	0.0147507i
$7$	0.394539	+	1.98348i	0.149122	+	0.749685i	0.980890	+	0.194562i	$0.0623286\pi$
$7$	0.394539	+	1.98348i	0.149122	+	0.749685i	−0.831769	+	0.555123i	$0.812671\pi$
$8$	2.18669	−	1.79399i	0.773111	−	0.634271i
$9$	−2.90475	−	0.577790i	−0.968250	−	0.192597i
$10$	−0.886794	−	1.01130i	−0.280429	−	0.319802i
$11$	1.96341	+	1.61133i	0.591991	+	0.485835i	0.882038	−	0.471178i	$-0.156171\pi$
$11$	1.96341	+	1.61133i	0.591991	+	0.485835i	−0.290047	+	0.957012i	$0.593671\pi$
$12$	−0.366546	+	0.137914i	−0.105813	+	0.0398123i
$13$	−3.43371	−	1.83536i	−0.952341	−	0.509037i	−0.0793892	−	0.996844i	$-0.525297\pi$
$13$	−3.43371	−	1.83536i	−0.952341	−	0.509037i	−0.872952	+	0.487807i	$0.837797\pi$
$14$	1.18021	+	2.60515i	0.315425	+	0.696255i
$15$	0.0712704	+	0.172062i	0.0184019	+	0.0444262i
$16$	2.43572	−	3.17290i	0.608929	−	0.793225i
$17$	−2.58925	+	6.25100i	−0.627985	+	1.51609i	0.214138	+	0.976803i	$0.431306\pi$
$17$	−2.58925	+	6.25100i	−0.627985	+	1.51609i	−0.842123	+	0.539286i	$0.818694\pi$
$18$	−4.18618	+	0.136820i	−0.986692	+	0.0322488i
$19$	1.58612	−	0.481145i	0.363882	−	0.110382i	−0.103049	−	0.994676i	$-0.532860\pi$
$19$	1.58612	−	0.481145i	0.363882	−	0.110382i	0.466931	+	0.884294i	$0.345360\pi$
$20$	−1.54606	−	1.10814i	−0.345709	−	0.247787i
$21$	−0.0388155	−	0.394100i	−0.00847023	−	0.0859997i
$22$	3.22152	+	1.58889i	0.686830	+	0.338752i
$23$	−4.28415	+	2.86258i	−0.893307	+	0.596889i	−0.915257	−	0.402870i	$-0.868013\pi$
$23$	−4.28415	+	2.86258i	−0.893307	+	0.596889i	0.0219499	+	0.999759i	$0.493013\pi$
$24$	−0.460560	+	0.307631i	−0.0940114	+	0.0627949i
$25$	2.27530	−	3.40523i	0.455060	−	0.681046i
$26$	−5.31847	−	1.42538i	−1.04304	−	0.279540i
$27$	1.11712	+	0.338875i	0.214990	+	0.0652166i
$28$	2.46190	+	3.20912i	0.465256	+	0.606466i
$29$	−3.65386	−	4.45224i	−0.678505	−	0.826760i	0.313941	−	0.949442i	$-0.398350\pi$
$29$	−3.65386	−	4.45224i	−0.678505	−	0.826760i	−0.992446	+	0.122682i	$0.960850\pi$
$30$	0.153402	+	0.214096i	0.0280073	+	0.0390885i
$31$	−1.49937	+	1.49937i	−0.269295	+	0.269295i	−0.828816	−	0.559521i	$-0.810985\pi$
$31$	−1.49937	+	1.49937i	−0.269295	+	0.269295i	0.559521	+	0.828816i	$0.310985\pi$
$32$	2.33598	−	5.15201i	0.412948	−	0.910755i
$33$	−0.351690	−	0.351690i	−0.0612214	−	0.0612214i
$34$	−1.55918	+	9.44072i	−0.267398	+	1.61907i
$35$	1.48682	−	1.22021i	0.251319	−	0.206252i
$36$	−5.72164	+	1.53246i	−0.953607	+	0.255410i
$37$	0.443662	−	1.46256i	0.0729375	−	0.240443i	−0.912890	−	0.408206i	$-0.866154\pi$
$37$	0.443662	−	1.46256i	0.0729375	−	0.240443i	0.985827	+	0.167763i	$0.0536544\pi$
$38$	2.03007	−	1.17192i	0.329321	−	0.190110i
$39$	0.633913	+	0.423567i	0.101507	+	0.0678250i
$40$	−2.48515	−	1.02984i	−0.392936	−	0.162833i
$41$	1.49204	+	2.23299i	0.233017	+	0.348735i	0.929489	−	0.368849i	$-0.120248\pi$
$41$	1.49204	+	2.23299i	0.233017	+	0.348735i	−0.696472	+	0.717584i	$0.745248\pi$
$42$	−0.179990	−	0.530327i	−0.0277731	−	0.0818312i
$43$	10.6930	−	1.05317i	1.63067	−	0.160607i	0.759134	−	0.650934i	$-0.225623\pi$
$43$	10.6930	−	1.05317i	1.63067	−	0.160607i	0.871539	+	0.490327i	$0.163123\pi$
$44$	4.94709	+	1.15405i	0.745802	+	0.173980i
$45$	0.817672	+	2.69550i	0.121891	+	0.401822i
$46$	−4.98144	+	5.31807i	−0.734473	+	0.784106i
$47$	−1.16814	−	0.483860i	−0.170391	−	0.0705782i	0.295857	−	0.955232i	$-0.404395\pi$
$47$	−1.16814	−	0.483860i	−0.170391	−	0.0705782i	−0.466248	+	0.884654i	$0.654395\pi$
$48$	−0.535555	+	0.571564i	−0.0773007	+	0.0824982i
$49$	2.68863	−	1.11367i	0.384089	−	0.159095i
$50$	2.04045	−	5.42049i	0.288564	−	0.766573i
$51$	0.624553	−	1.16846i	0.0874549	−	0.163617i
$52$	−7.78270	−	0.255602i	−1.07927	−	0.0354457i
$53$	5.69513	−	6.93953i	0.782286	−	0.953218i	−0.217453	−	0.976071i	$-0.569775\pi$
$53$	5.69513	−	6.93953i	0.782286	−	0.953218i	0.999739	+	0.0228527i	$0.00727489\pi$
$54$	1.64740	+	0.108064i	0.224182	+	0.0147056i
$55$	0.471284	−	2.36930i	0.0635479	−	0.319477i
$56$	4.42107	+	3.62945i	0.590791	+	0.485006i
$57$	−0.318328	+	0.0633194i	−0.0421636	+	0.00838686i
$58$	−6.46186	−	4.95890i	−0.848483	−	0.651135i
$59$	−1.42489	+	0.761620i	−0.185505	+	0.0991545i	−0.561535	−	0.827453i	$-0.689789\pi$
$59$	−1.42489	+	0.761620i	−0.185505	+	0.0991545i	0.376030	+	0.926608i	$0.377289\pi$
$60$	0.280017	+	0.245621i	0.0361500	+	0.0317095i
$61$	0.332738	−	3.37835i	0.0426028	−	0.432553i	−0.950098	−	0.311951i	$-0.899018\pi$
$61$	0.332738	−	3.37835i	0.0426028	−	0.432553i	0.992701	−	0.120602i	$-0.0384825\pi$
$62$	−1.58368	+	2.54646i	−0.201127	+	0.323401i
$63$		−	5.98947i		−	0.754602i
$64$	1.56321	−	7.84579i	0.195401	−	0.980723i
$65$			3.70301i			0.459302i
$66$	−0.597293	−	0.371464i	−0.0735216	−	0.0457241i
$67$	−0.689017	+	6.99571i	−0.0841769	+	0.854662i	0.856678	+	0.515852i	$0.172524\pi$
$67$	−0.689017	+	6.99571i	−0.0841769	+	0.854662i	−0.940855	+	0.338810i	$0.889976\pi$
$68$	0.883612	+	13.5032i	0.107154	+	1.63750i
$69$	0.889810	−	0.475613i	0.107120	−	0.0572571i
$70$	1.65602	−	2.15793i	0.197933	−	0.257923i
$71$	−7.67052	+	1.52576i	−0.910324	+	0.181075i	−0.627972	−	0.778236i	$-0.716115\pi$
$71$	−7.67052	+	1.52576i	−0.910324	+	0.181075i	−0.282352	+	0.959311i	$0.591115\pi$
$72$	−7.38833	+	3.94764i	−0.870723	+	0.465234i
$73$	0.201048	−	1.01074i	0.0235309	−	0.118298i	−0.967235	−	0.253884i	$-0.918292\pi$
$73$	0.201048	−	1.01074i	0.0235309	−	0.118298i	0.990766	+	0.135586i	$0.0432918\pi$
$74$	0.141479	−	2.15680i	0.0164466	−	0.250723i
$75$	−0.508753	+	0.619918i	−0.0587458	+	0.0715819i
$76$	2.41973	−	2.26584i	0.277562	−	0.259910i
$77$	−2.42140	+	4.53012i	−0.275944	+	0.516255i
$78$	1.00907	+	0.379848i	0.114255	+	0.0430093i
$79$	13.7185	−	5.68239i	1.54345	−	0.639319i	0.561335	−	0.827589i	$-0.310288\pi$
$79$	13.7185	−	5.68239i	1.54345	−	0.639319i	0.982117	+	0.188270i	$0.0602879\pi$
$80$	−3.75341	−	0.620505i	−0.419644	−	0.0693745i
$81$	7.99745	+	3.31265i	0.888605	+	0.368072i
$82$	2.77189	+	2.59644i	0.306104	+	0.286728i
$83$	−4.86403	−	16.0345i	−0.533896	−	1.76002i	−0.642870	−	0.765975i	$-0.722257\pi$
$83$	−4.86403	−	16.0345i	−0.533896	−	1.76002i	0.108974	−	0.994045i	$-0.465243\pi$
$84$	−0.418166	−	0.672624i	−0.0456256	−	0.0733893i
$85$	6.40410	−	0.630749i	0.694622	−	0.0684143i
$86$	14.3892	−	4.88364i	1.55163	−	0.526617i
$87$	0.626587	+	0.937753i	0.0671771	+	0.100538i
$88$	7.18408	+	0.00113870i	0.765826	+	0.000121386i
$89$	3.43547	+	2.29551i	0.364159	+	0.243323i	0.724165	−	0.689627i	$-0.242225\pi$
$89$	3.43547	+	2.29551i	0.364159	+	0.243323i	−0.360006	+	0.932950i	$0.617225\pi$
$90$	1.99159	+	3.44996i	0.209932	+	0.363658i
$91$	2.28566	−	7.53482i	0.239603	−	0.789864i
$92$	−5.15345	+	8.92386i	−0.537284	+	0.930376i
$93$	0.320966	−	0.263410i	0.0332826	−	0.0273144i
$94$	−1.76421	−	0.291369i	−0.181965	−	0.0300524i
$95$	−1.11470	−	1.11470i	−0.114366	−	0.114366i
$96$	−0.554106	+	0.959154i	−0.0565532	+	0.0978932i
$97$	−2.61992	+	2.61992i	−0.266013	+	0.266013i	−0.827491	−	0.561478i	$-0.810233\pi$
$97$	−2.61992	+	2.61992i	−0.266013	+	0.266013i	0.561478	+	0.827491i	$0.310233\pi$
$98$	3.34545	−	2.39705i	0.337942	−	0.242139i
$99$	−4.77221	−	5.81495i	−0.479625	−	0.584425i
$100$	1.06998	−	8.12068i	0.106998	−	0.812068i
$101$	−6.59803	−	2.00149i	−0.656528	−	0.199156i	−0.0555931	−	0.998454i	$-0.517705\pi$
$101$	−6.59803	−	2.00149i	−0.656528	−	0.199156i	−0.600935	+	0.799298i	$0.705205\pi$
$102$	0.485042	−	1.80982i	0.0480263	−	0.179199i
$103$	−10.9404	+	16.3735i	−1.07799	+	1.61333i	−0.337414	+	0.941356i	$0.609552\pi$
$103$	−10.9404	+	16.3735i	−1.07799	+	1.61333i	−0.740577	+	0.671971i	$0.765448\pi$
$104$	−10.8011	+	2.14669i	−1.05913	+	0.210500i
$105$	−0.313162	+	0.209248i	−0.0305615	+	0.0204206i
$106$	5.61581	−	11.3862i	0.545455	−	1.10593i
$107$	1.61353	+	16.3824i	0.155986	+	1.58375i	0.680759	+	0.732507i	$0.261650\pi$
$107$	1.61353	+	16.3824i	0.155986	+	1.58375i	−0.524774	+	0.851242i	$0.675850\pi$
$108$	2.30363	−	0.380082i	0.221667	−	0.0365734i
$109$	−6.37830	+	1.93484i	−0.610930	+	0.185324i	−0.580563	−	0.814215i	$-0.697168\pi$
$109$	−6.37830	+	1.93484i	−0.610930	+	0.185324i	−0.0303670	+	0.999539i	$0.509668\pi$
$110$	−0.111599	−	3.41452i	−0.0106406	−	0.325562i
$111$	−0.114529	+	0.276498i	−0.0108706	+	0.0262440i
$112$	7.25436	+	3.57936i	0.685473	+	0.338218i
$113$	5.47806	+	13.2252i	0.515332	+	1.24412i	0.940743	+	0.339121i	$0.110130\pi$
$113$	5.47806	+	13.2252i	0.515332	+	1.24412i	−0.425410	+	0.905001i	$0.639870\pi$
$114$	−0.418100	+	0.189412i	−0.0391586	+	0.0177400i
$115$	4.32184	+	2.31007i	0.403014	+	0.215415i
$116$	−10.4919	−	4.75517i	−0.974153	−	0.441507i
$117$	8.91362	+	7.31522i	0.824065	+	0.676292i
$118$	−1.71796	+	1.50645i	−0.158151	+	0.138680i
$119$	−13.4203	−	2.66946i	−1.23024	−	0.244709i
$120$	0.464523	+	0.248387i	0.0424050	+	0.0226746i
$121$	−0.887391	−	4.46122i	−0.0806720	−	0.405565i
$122$	−0.626381	−	4.75978i	−0.0567099	−	0.430931i
$123$	−0.247900	−	0.463788i	−0.0223524	−	0.0418184i
$124$	−1.36361	+	4.01566i	−0.122456	+	0.360617i
$125$	−8.60890	−	0.847902i	−0.770003	−	0.0758387i
$126$	−1.92299	−	8.24922i	−0.171313	−	0.734899i
$127$	−12.6383			−1.12147			−0.560734	−	0.827996i	$-0.689481\pi$
$127$	−12.6383			−1.12147			−0.560734	+	0.827996i	$0.689481\pi$
$128$	−0.365992	−	11.3078i	−0.0323494	−	0.999477i
$129$	−2.10400			−0.185247
$130$	1.18889	+	5.10011i	0.104273	+	0.447309i
$131$	−19.0096	−	1.87229i	−1.66088	−	0.163582i	−0.776425	−	0.630210i	$-0.782969\pi$
$131$	−19.0096	−	1.87229i	−1.66088	−	0.163582i	−0.884454	+	0.466627i	$0.845469\pi$
$132$	−0.941906	−	0.319845i	−0.0819824	−	0.0278389i
$133$	1.58013	+	2.95621i	0.137015	+	0.256336i
$134$	1.29708	+	9.85632i	0.112051	+	0.851456i
$135$	−0.216607	−	1.08896i	−0.0186425	−	0.0937224i
$136$	5.55234	+	18.3141i	0.476109	+	1.57042i
$137$	−13.8387	−	2.75269i	−1.18232	−	0.235178i	−0.435490	−	0.900193i	$-0.643425\pi$
$137$	−13.8387	−	2.75269i	−1.18232	−	0.235178i	−0.746830	+	0.665015i	$0.768425\pi$
$138$	1.07282	−	0.940739i	0.0913247	−	0.0800811i
$139$	−0.546039	−	0.448122i	−0.0463144	−	0.0380092i	0.610951	−	0.791668i	$-0.290787\pi$
$139$	−0.546039	−	0.448122i	−0.0463144	−	0.0380092i	−0.657266	+	0.753659i	$0.728287\pi$
$140$	1.58799	−	3.50378i	0.134210	−	0.296124i
$141$	0.218353	+	0.116712i	0.0183886	+	0.00982892i
$142$	−10.0746	+	4.56412i	−0.845446	+	0.383013i
$143$	−3.78443	−	9.13642i	−0.316470	−	0.764026i
$144$	−8.90841	+	7.80914i	−0.742368	+	0.650762i
$145$	−2.09630	+	5.06092i	−0.174088	+	0.420286i
$146$	−0.0476079	−	1.45663i	−0.00394006	−	0.120551i
$147$	−0.545317	+	0.165420i	−0.0449770	+	0.0136436i
$148$	−0.497610	−	3.01596i	−0.0409033	−	0.247910i
$149$	1.52767	+	15.5107i	0.125152	+	1.27069i	0.828559	+	0.559901i	$0.189161\pi$
$149$	1.52767	+	15.5107i	0.125152	+	1.27069i	−0.703407	+	0.710787i	$0.748339\pi$
$150$	−0.501668	+	1.01715i	−0.0409610	+	0.0830496i
$151$	16.7378	−	11.1838i	1.36210	−	0.910127i	0.362342	−	0.932045i	$-0.381977\pi$
$151$	16.7378	−	11.1838i	1.36210	−	0.910127i	0.999760	+	0.0219177i	$0.00697716\pi$
$152$	2.60519	−	3.89760i	0.211309	−	0.316137i
$153$	11.1329	−	16.6615i	0.900040	−	1.34700i
$154$	−1.88052	+	7.01670i	−0.151536	+	0.565422i
$155$	1.92988	+	0.585423i	0.155012	+	0.0470223i
$156$	1.51173	+	0.199186i	0.121036	+	0.0159477i
$157$	3.61675	+	4.40702i	0.288648	+	0.351718i	0.897065	−	0.441899i	$-0.145695\pi$
$157$	3.61675	+	4.40702i	0.288648	+	0.351718i	−0.608417	+	0.793618i	$0.708195\pi$
$158$	17.0699	−	12.2308i	1.35801	−	0.973028i
$159$	−1.24302	+	1.24302i	−0.0985780	+	0.0985780i
$160$	−5.36874	+	0.350461i	−0.424436	+	0.0277064i
$161$	−7.36813	−	7.36813i	−0.580690	−	0.580690i
$162$	12.0783	+	1.99480i	0.948964	+	0.156726i
$163$	−5.64943	+	4.63637i	−0.442497	+	0.363148i	−0.829102	−	0.559097i	$-0.811148\pi$
$163$	−5.64943	+	4.63637i	−0.442497	+	0.363148i	0.386605	+	0.922246i	$0.373648\pi$
$164$	4.65131	+	2.68609i	0.363206	+	0.209748i
$165$	−0.137316	+	0.452669i	−0.0106900	+	0.0352402i
$166$	−11.8472	−	20.5225i	−0.919524	−	1.59286i
$167$	12.5049	+	8.35550i	0.967657	+	0.646568i	0.935654	−	0.352920i	$-0.114811\pi$
$167$	12.5049	+	8.35550i	0.967657	+	0.646568i	0.0320038	+	0.999488i	$0.489811\pi$
$168$	−0.791888	−	0.792139i	−0.0610955	−	0.0611149i
$169$	1.19944	+	1.79508i	0.0922643	+	0.138083i
$170$	8.61777	−	2.92483i	0.660953	−	0.224324i
$171$	−4.88529	+	0.481159i	−0.373587	+	0.0367952i
$172$	18.2502	−	11.3460i	1.39156	−	0.865125i
$173$	5.17764	+	17.0684i	0.393649	+	1.29769i	0.900200	+	0.435477i	$0.143420\pi$
$173$	5.17764	+	17.0684i	0.393649	+	1.29769i	−0.506551	+	0.862210i	$0.669080\pi$
$174$	1.16407	+	1.09038i	0.0882476	+	0.0826617i
$175$	7.65189	+	3.16952i	0.578429	+	0.239593i
$176$	9.89491	−	2.30496i	0.745857	−	0.173743i
$177$	0.292291	−	0.121071i	0.0219700	−	0.00910026i
$178$	5.46862	+	2.05857i	0.409891	+	0.154297i
$179$	1.06173	−	1.98635i	0.0793571	−	0.148467i	−0.839113	−	0.543957i	$-0.816925\pi$
$179$	1.06173	−	1.98635i	0.0793571	−	0.148467i	0.918470	+	0.395491i	$0.129425\pi$
$180$	3.85064	+	4.11216i	0.287010	+	0.306502i
$181$	6.88028	−	8.38365i	0.511407	−	0.623152i	−0.451732	−	0.892154i	$-0.649194\pi$
$181$	6.88028	−	8.38365i	0.511407	−	0.623152i	0.963140	+	0.269002i	$0.0866938\pi$
$182$	0.728872	−	11.1114i	0.0540276	−	0.823635i
$183$	−0.129684	+	0.651964i	−0.00958649	+	0.0481945i
$184$	−4.23267	+	13.9453i	−0.312037	+	1.02806i
$185$	−1.42568	+	0.283586i	−0.104818	+	0.0208496i
$186$	0.357492	−	0.465841i	0.0262126	−	0.0341571i
$187$	−15.1562	+	8.10115i	−1.10833	+	0.592415i
$188$	−2.52338	+	0.165123i	−0.184036	+	0.0120428i
$189$	−0.231404	+	2.34949i	−0.0168322	+	0.170900i
$190$	−1.89315	−	1.17737i	−0.137343	−	0.0854156i
$191$		−	2.03732i		−	0.147415i	−0.997280	−	0.0737077i	$-0.976517\pi$
$191$		−	2.03732i		−	0.147415i	0.997280	−	0.0737077i	$-0.0234832\pi$
$192$	−0.455215	+	1.49893i	−0.0328523	+	0.108176i
$193$		−	17.1826i		−	1.23683i	−0.785851	−	0.618416i	$-0.787775\pi$
$193$		−	17.1826i		−	1.23683i	0.785851	−	0.618416i	$-0.212225\pi$
$194$	−2.76723	+	4.44954i	−0.198676	+	0.319459i
$195$	0.0710732	−	0.721618i	0.00508966	−	0.0516761i
$196$	3.83805	−	4.37553i	0.274146	−	0.312538i
$197$	7.90986	−	4.22791i	0.563555	−	0.301226i	−0.164911	−	0.986308i	$-0.552734\pi$
$197$	7.90986	−	4.22791i	0.563555	−	0.301226i	0.728466	+	0.685082i	$0.240234\pi$
$198$	−8.43966	−	6.47669i	−0.599781	−	0.460278i
$199$	21.3549	−	4.24776i	1.51381	−	0.301116i	0.632839	−	0.774284i	$-0.281890\pi$
$199$	21.3549	−	4.24776i	1.51381	−	0.301116i	0.880972	+	0.473168i	$0.156890\pi$
$200$	−1.13357	−	11.5280i	−0.0801553	−	0.815155i
$201$	0.268542	−	1.35005i	0.0189415	−	0.0952254i
$202$	−9.72998	−	0.638253i	−0.684599	−	0.0449073i
$203$	7.38934	−	9.00394i	0.518630	−	0.631953i
$204$	0.0869788	−	2.64837i	0.00608973	−	0.185423i
$205$	1.20406	−	2.25264i	0.0840952	−	0.157331i
$206$	−9.81119	+	26.0635i	−0.683578	+	1.81593i
$207$	14.0984	−	5.83973i	0.979903	−	0.405889i
$208$	−14.1870	+	6.42441i	−0.983689	+	0.445453i
$209$	3.88950	+	1.61108i	0.269042	+	0.111441i
$210$	−0.364133	+	0.388740i	−0.0251276	+	0.0268256i
$211$	−0.301203	−	0.992934i	−0.0207357	−	0.0683564i	0.945962	−	0.324278i	$-0.105121\pi$
$211$	−0.301203	−	0.992934i	−0.0207357	−	0.0683564i	−0.966698	+	0.255921i	$0.917621\pi$
$212$	4.07890	−	17.4851i	0.280140	−	1.20088i
$213$	1.52407	−	0.150107i	0.104427	−	0.0102852i
$214$	7.48206	+	22.0453i	0.511463	+	1.50698i
$215$	−5.67750	−	8.49697i	−0.387202	−	0.579489i
$216$	3.05074	−	1.26309i	0.207576	−	0.0859424i
$217$	−3.56554	−	2.38242i	−0.242044	−	0.161729i
$218$	−8.16355	+	4.71265i	−0.552905	+	0.319181i
$219$	−0.0585784	+	0.193107i	−0.00395836	+	0.0130490i
$220$	−1.24998	−	4.66695i	−0.0842734	−	0.314646i
$221$	20.3636	−	16.7119i	1.36980	−	1.12417i
$222$	−0.0689667	+	0.417588i	−0.00462874	+	0.0280267i
$223$	13.1181	+	13.1181i	0.878454	+	0.878454i	0.993375	−	0.114920i	$-0.0366613\pi$
$223$	13.1181	+	13.1181i	0.878454	+	0.878454i	−0.114920	+	0.993375i	$0.536661\pi$
$224$	11.1405	+	2.60071i	0.744358	+	0.173767i
$225$	−8.57668	+	8.57668i	−0.571779	+	0.571779i
$226$	11.7910	+	16.4561i	0.784323	+	1.09464i
$227$	15.1366	+	18.4440i	1.00465	+	1.22417i	0.974445	+	0.224627i	$0.0721164\pi$
$227$	15.1366	+	18.4440i	1.00465	+	1.22417i	0.0302062	+	0.999544i	$0.490384\pi$
$228$	−0.515030	+	0.395110i	−0.0341087	+	0.0261668i
$229$	−27.4270	−	8.31988i	−1.81243	−	0.549793i	−0.812955	−	0.582326i	$-0.802143\pi$
$229$	−27.4270	−	8.31988i	−1.81243	−	0.549793i	−0.999471	+	0.0325326i	$0.989643\pi$
$230$	6.69409	+	1.79406i	0.441395	+	0.118296i
$231$	0.558815	−	0.836326i	0.0367673	−	0.0550262i
$232$	−15.9771	−	3.18068i	−1.04895	−	0.208822i
$233$	−3.36263	+	2.24684i	−0.220293	+	0.147195i	−0.660820	−	0.750544i	$-0.729792\pi$
$233$	−3.36263	+	2.24684i	−0.220293	+	0.147195i	0.440527	+	0.897739i	$0.354792\pi$
$234$	14.6253	+	7.21334i	0.956083	+	0.471551i
$235$	0.117870	+	1.19675i	0.00768898	+	0.0780675i
$236$	−1.88246	+	2.62638i	−0.122538	+	0.170963i
$237$	−2.78244	+	0.844043i	−0.180739	+	0.0548265i
$238$	−19.3406	+	0.632124i	−1.25367	+	0.0409745i
$239$	1.05152	−	2.53860i	0.0680175	−	0.164209i	−0.886215	−	0.463274i	$-0.846675\pi$
$239$	1.05152	−	2.53860i	0.0680175	−	0.164209i	0.954233	+	0.299065i	$0.0966747\pi$
$240$	0.719529	+	0.192960i	0.0464454	+	0.0124555i
$241$	−9.32065	−	22.5020i	−0.600396	−	1.44948i	−0.873175	−	0.487407i	$-0.837943\pi$
$241$	−9.32065	−	22.5020i	−0.600396	−	1.44948i	0.272779	−	0.962077i	$-0.412057\pi$
$242$	−2.65452	−	5.85947i	−0.170639	−	0.376661i
$243$	−4.58355	−	2.44996i	−0.294035	−	0.157165i
$244$	−2.39089	−	6.35448i	−0.153061	−	0.406804i
$245$	−2.13954	−	1.75588i	−0.136690	−	0.112179i
$246$	−0.490334	−	0.559178i	−0.0312625	−	0.0356519i
$247$	−6.32937	−	1.25899i	−0.402728	−	0.0801076i
$248$	−0.588803	+	5.96852i	−0.0373891	+	0.379002i
$249$	0.640113	+	3.21806i	0.0405655	+	0.203936i
$250$	−12.1292	+	1.59618i	−0.767115	+	0.100951i
$251$	0.642392	+	1.20183i	0.0405474	+	0.0758589i	0.901379	−	0.433031i	$-0.142556\pi$
$251$	0.642392	+	1.20183i	0.0405474	+	0.0758589i	−0.860832	+	0.508890i	$0.830056\pi$
$252$	−5.29701	−	10.7441i	−0.333681	−	0.676817i
$253$	−13.0241	−	1.28276i	−0.818820	−	0.0806467i
$254$	−17.4066	+	4.05767i	−1.09219	+	0.254601i
$255$	−1.26010			−0.0789102
$256$	−4.13457	−	15.4566i	−0.258411	−	0.966035i
$257$	20.0836			1.25278			0.626390	−	0.779510i	$-0.284532\pi$
$257$	20.0836			1.25278			0.626390	+	0.779510i	$0.284532\pi$
$258$	−2.89782	+	0.675514i	−0.180410	+	0.0420557i
$259$	3.07599	+	0.302959i	0.191133	+	0.0188249i
$260$	3.27490	+	6.64260i	0.203100	+	0.411957i
$261$	8.04108	+	15.0438i	0.497731	+	0.931188i
$262$	−26.7828	+	3.52459i	−1.65465	+	0.217750i
$263$	0.856843	+	4.30764i	0.0528352	+	0.265621i	0.998169	−	0.0604832i	$-0.0192641\pi$
$263$	0.856843	+	4.30764i	0.0528352	+	0.265621i	−0.945334	+	0.326104i	$0.894264\pi$
$264$	−1.39996	−	0.138109i	−0.0861619	−	0.00849999i
$265$	−8.37412	−	1.66572i	−0.514418	−	0.102324i
$266$	3.12542	+	3.56423i	0.191632	+	0.218537i
$267$	−0.625423	−	0.513271i	−0.0382752	−	0.0314117i
$268$	4.95094	+	13.1585i	0.302426	+	0.803786i
$269$	−15.0455	−	8.04201i	−0.917343	−	0.490330i	−0.0560436	−	0.998428i	$-0.517849\pi$
$269$	−15.0455	−	8.04201i	−0.917343	−	0.490330i	−0.861299	+	0.508098i	$0.830349\pi$
$270$	−0.647952	−	1.43026i	−0.0394331	−	0.0870429i
$271$	5.59818	+	13.5152i	0.340065	+	0.820991i	0.997708	+	0.0676608i	$0.0215536\pi$
$271$	5.59818	+	13.5152i	0.340065	+	0.820991i	−0.657643	+	0.753330i	$0.728446\pi$
$272$	13.5271	+	23.4411i	0.820201	+	1.42132i
$273$	−0.590033	+	1.42447i	−0.0357104	+	0.0862126i
$274$	−19.9436	+	0.651832i	−1.20484	+	0.0393786i
$275$	9.95431	−	3.01961i	0.600267	−	0.182089i
$276$	1.17555	−	1.64011i	0.0707597	−	0.0987230i
$277$	1.50530	+	15.2836i	0.0904450	+	0.918303i	0.928157	+	0.372190i	$0.121393\pi$
$277$	1.50530	+	15.2836i	0.0904450	+	0.918303i	−0.837712	+	0.546113i	$0.816107\pi$
$278$	−0.895927	−	0.441881i	−0.0537341	−	0.0265023i
$279$	5.22163	−	3.48898i	0.312611	−	0.208880i
$280$	1.06219	−	5.33555i	0.0634778	−	0.318860i
$281$	7.28631	−	10.9047i	0.434665	−	0.650522i	−0.547878	−	0.836558i	$-0.684564\pi$
$281$	7.28631	−	10.9047i	0.434665	−	0.650522i	0.982543	+	0.186036i	$0.0595642\pi$
$282$	0.338206	+	0.0906412i	0.0201399	+	0.00539761i
$283$	−20.5385	−	6.23028i	−1.22089	−	0.370352i	−0.386892	−	0.922125i	$-0.626451\pi$
$283$	−20.5385	−	6.23028i	−1.22089	−	0.370352i	−0.833994	+	0.551773i	$0.813951\pi$
$284$	−12.4103	+	9.52069i	−0.736417	+	0.564949i
$285$	0.195830	+	0.238620i	0.0116000	+	0.0141346i
$286$	−8.14560	−	11.3684i	−0.481659	−	0.672230i
$287$	−3.84043	+	3.84043i	−0.226693	+	0.226693i
$288$	−9.76223	+	13.6156i	−0.575245	+	0.802305i
$289$	−20.3499	−	20.3499i	−1.19706	−	1.19706i
$290$	−1.26234	+	7.64338i	−0.0741272	+	0.448835i
$291$	0.560839	−	0.460268i	0.0328769	−	0.0269814i
$292$	−0.533236	−	1.99091i	−0.0312053	−	0.116509i
$293$	2.69765	−	8.89297i	0.157599	−	0.519533i	−0.842209	−	0.539151i	$-0.818745\pi$
$293$	2.69765	−	8.89297i	0.157599	−	0.519533i	0.999808	+	0.0196184i	$0.00624513\pi$
$294$	−0.697948	+	0.402911i	−0.0407051	+	0.0234983i
$295$	1.27767	+	0.853712i	0.0743888	+	0.0497050i
$296$	−1.65366	−	3.99408i	−0.0961170	−	0.232151i
$297$	1.64733	+	2.46541i	0.0955879	+	0.143057i
$298$	7.08394	+	20.8722i	0.410362	+	1.20910i
$299$	19.9644	−	1.96632i	1.15457	−	0.113715i
$300$	−0.364374	+	1.56197i	−0.0210371	+	0.0901802i
$301$	6.30776	+	20.7939i	0.363573	+	1.19854i
$302$	19.4620	−	20.7772i	1.11991	−	1.19559i
$303$	1.24736	+	0.516675i	0.0716592	+	0.0296822i
$304$	2.33672	−	6.20454i	0.134020	−	0.355855i
$305$	−2.98288	+	1.23555i	−0.170799	+	0.0707475i
$306$	9.98379	−	26.5220i	0.570735	−	1.51616i
$307$	−6.59525	+	12.3388i	−0.376411	+	0.704215i	−0.996788	−	0.0800886i	$-0.974480\pi$
$307$	−6.59525	+	12.3388i	−0.376411	+	0.704215i	0.620377	+	0.784304i	$0.286980\pi$
$308$	−0.337218	+	10.2678i	−0.0192148	+	0.585060i
$309$	2.44626	−	2.98077i	0.139163	−	0.169570i
$310$	2.84596	+	0.186685i	0.161639	+	0.0106030i
$311$	1.27231	−	6.39631i	0.0721459	−	0.362702i	−0.927800	−	0.373077i	$-0.878303\pi$
$311$	1.27231	−	6.39631i	0.0721459	−	0.362702i	0.999946	+	0.0103755i	$0.00330267\pi$
$312$	2.14604	−	0.211023i	0.121496	−	0.0119468i
$313$	1.70807	−	0.339756i	0.0965456	−	0.0192041i	−0.146581	−	0.989199i	$-0.546827\pi$
$313$	1.70807	−	0.339756i	0.0965456	−	0.0192041i	0.243127	+	0.969995i	$0.421827\pi$
$314$	6.39622	+	4.90853i	0.360960	+	0.277004i
$315$	−5.02387	+	2.68532i	−0.283063	+	0.151300i
$316$	19.5834	−	22.3258i	1.10165	−	1.25592i
$317$	−0.476831	+	4.84134i	−0.0267815	+	0.271917i	0.972463	+	0.233057i	$0.0748727\pi$
$317$	−0.476831	+	4.84134i	−0.0267815	+	0.271917i	−0.999245	+	0.0388603i	$0.987627\pi$
$318$	−1.31291	+	2.11108i	−0.0736244	+	0.118384i
$319$		−	14.6292i		−	0.819076i
$320$	−7.28177	+	2.20638i	−0.407063	+	0.123340i
$321$		−	3.22347i		−	0.179916i
$322$	−12.5136	−	7.78240i	−0.697358	−	0.433696i
$323$	−1.09923	+	11.1607i	−0.0611627	+	0.620995i
$324$	17.2758	−	1.13048i	0.959767	−	0.0628046i
$325$	−14.0625	+	7.51659i	−0.780049	+	0.416945i
$326$	−6.29232	+	8.19942i	−0.348500	+	0.454124i
$327$	1.28010	−	0.254627i	0.0707895	−	0.0140809i
$328$	7.26858	+	2.20616i	0.401340	+	0.121815i
$329$	0.498849	−	2.50789i	0.0275025	−	0.138264i
$330$	−0.0437884	+	0.667542i	−0.00241047	+	0.0367470i
$331$	−14.0792	+	17.1556i	−0.773864	+	0.942956i	−0.999512	−	0.0312527i	$-0.990050\pi$
$331$	−14.0792	+	17.1556i	−0.773864	+	0.942956i	0.225647	+	0.974209i	$0.427550\pi$
$332$	−22.9060	−	24.4617i	−1.25713	−	1.34251i
$333$	−2.13378	+	3.99202i	−0.116930	+	0.218761i
$334$	19.9055	+	7.49308i	1.08918	+	0.410003i
$335$	6.17681	−	2.55852i	0.337475	−	0.139787i
$336$	−1.34498	−	0.836758i	−0.0733748	−	0.0456489i
$337$	5.84107	+	2.41945i	0.318183	+	0.131796i	0.536059	−	0.844181i	$-0.319913\pi$
$337$	5.84107	+	2.41945i	0.318183	+	0.131796i	−0.217875	+	0.975977i	$0.569913\pi$
$338$	2.22830	+	2.08725i	0.121204	+	0.113532i
$339$	−0.813692	−	2.68238i	−0.0441937	−	0.145687i
$340$	10.9301	−	6.79517i	0.592768	−	0.368520i
$341$	−5.35988	+	0.527902i	−0.290254	+	0.0285875i
$342$	−6.57396	+	2.23117i	−0.355479	+	0.120648i
$343$	11.1346	+	16.6640i	0.601210	+	0.899774i
$344$	21.4930	−	21.4861i	1.15882	−	1.15846i
$345$	−0.797874	−	0.533122i	−0.0429561	−	0.0287023i
$346$	12.6111	+	21.8457i	0.677977	+	1.17443i
$347$	8.58896	−	28.3140i	0.461080	−	1.51998i	−0.350969	−	0.936387i	$-0.614148\pi$
$347$	8.58896	−	28.3140i	0.461080	−	1.51998i	0.812049	−	0.583589i	$-0.198352\pi$
$348$	1.95333	+	1.12803i	0.104710	+	0.0604689i
$349$	22.5731	−	18.5253i	1.20831	−	0.991637i	0.208405	−	0.978043i	$-0.433173\pi$
$349$	22.5731	−	18.5253i	1.20831	−	0.991637i	0.999908	−	0.0135942i	$-0.00432730\pi$
$350$	11.5565	+	1.90861i	0.617719	+	0.102019i
$351$	−3.21392	−	3.21392i	−0.171546	−	0.171546i
$352$	12.8881	−	6.35147i	0.686938	−	0.338535i
$353$	3.54720	−	3.54720i	0.188798	−	0.188798i	−0.606378	−	0.795176i	$-0.707378\pi$
$353$	3.54720	−	3.54720i	0.188798	−	0.188798i	0.795176	+	0.606378i	$0.207378\pi$
$354$	0.363698	−	0.260593i	0.0193303	−	0.0138504i
$355$	4.71878	+	5.74986i	0.250447	+	0.305171i
$356$	8.19279	+	1.07948i	0.434217	+	0.0572124i
$357$	2.56402	+	0.777787i	0.135702	+	0.0411649i
$358$	0.824561	−	3.07665i	0.0435794	−	0.162606i
$359$	−7.64502	+	11.4416i	−0.403489	+	0.603864i	−0.976457	−	0.215714i	$-0.930792\pi$
$359$	−7.64502	+	11.4416i	−0.403489	+	0.603864i	0.572968	+	0.819578i	$0.305792\pi$
$360$	6.62370	+	4.42733i	0.349100	+	0.233341i
$361$	−13.5136	+	9.02952i	−0.711244	+	0.475238i
$362$	6.78446	−	13.7557i	0.356583	−	0.722983i
$363$	0.0873033	+	0.886405i	0.00458223	+	0.0465242i
$364$	−2.56359	−	15.5377i	−0.134369	−	0.814395i
$365$	−0.937929	+	0.284518i	−0.0490935	+	0.0148923i
$366$	0.0307089	+	0.939578i	0.00160518	+	0.0491125i
$367$	−9.66112	+	23.3240i	−0.504306	+	1.21750i	0.442811	+	0.896615i	$0.353981\pi$
$367$	−9.66112	+	23.3240i	−0.504306	+	1.21750i	−0.947117	+	0.320888i	$0.896019\pi$
$368$	−1.35231	+	20.5656i	−0.0704938	+	1.07206i
$369$	−3.04379	−	7.34837i	−0.158454	−	0.382541i
$370$	−1.87252	+	0.848310i	−0.0973478	+	0.0441015i
$371$	16.0114	+	8.55825i	0.831269	+	0.444322i
$372$	0.342805	−	0.756374i	0.0177736	−	0.0392162i
$373$	−16.0190	−	13.1465i	−0.829434	−	0.680699i	0.120649	−	0.992695i	$-0.461502\pi$
$373$	−16.0190	−	13.1465i	−0.829434	−	0.680699i	−0.950083	+	0.311996i	$0.899002\pi$
$374$	−18.2735	+	16.0237i	−0.944898	+	0.828565i
$375$	1.66137	+	0.330467i	0.0857928	+	0.0170653i
$376$	−3.42240	+	1.03758i	−0.176497	+	0.0535092i
$377$	4.37485	+	21.9939i	0.225316	+	1.13274i
$378$	0.435620	+	3.31021i	0.0224059	+	0.170259i
$379$	0.979281	+	1.83211i	0.0503023	+	0.0941090i	0.905816	−	0.423671i	$-0.139259\pi$
$379$	0.979281	+	1.83211i	0.0503023	+	0.0941090i	−0.855514	+	0.517780i	$0.826759\pi$
$380$	−2.98542	−	1.01376i	−0.153149	−	0.0520050i
$381$	2.46287	+	0.242571i	0.126177	+	0.0124273i
$382$	−0.654106	−	2.80598i	−0.0334669	−	0.143566i
$383$	−25.0568			−1.28034			−0.640170	−	0.768233i	$-0.721136\pi$
$383$	−25.0568			−1.28034			−0.640170	+	0.768233i	$0.721136\pi$
$384$	−0.145712	+	2.21061i	−0.00743585	+	0.112810i
$385$	4.88541			0.248983
$386$	−5.51668	−	23.6654i	−0.280791	−	1.20454i
$387$	−31.6691	−	3.11913i	−1.60983	−	0.158554i
$388$	−2.38269	+	7.01675i	−0.120963	+	0.356221i
$389$	−5.58619	−	10.4510i	−0.283231	−	0.529888i	0.699568	−	0.714566i	$-0.253376\pi$
$389$	−5.58619	−	10.4510i	−0.283231	−	0.529888i	−0.982799	+	0.184678i	$0.940876\pi$
$390$	−0.133796	−	1.01669i	−0.00677501	−	0.0514823i
$391$	−6.80124	−	34.1921i	−0.343953	−	1.72917i
$392$	3.88128	−	7.25860i	0.196034	−	0.366615i
$393$	3.66854	+	0.729717i	0.185053	+	0.0368094i
$394$	9.53673	−	8.36260i	0.480454	−	0.421302i
$395$	−10.9168	−	8.95923i	−0.549286	−	0.450788i
$396$	−13.7033	−	6.21061i	−0.688614	−	0.312095i
$397$	16.7276	+	8.94107i	0.839533	+	0.448740i	0.834342	−	0.551247i	$-0.185848\pi$
$397$	16.7276	+	8.94107i	0.839533	+	0.448740i	0.00519048	+	0.999987i	$0.498348\pi$
$398$	28.0481	−	12.7066i	1.40592	−	0.636926i
$399$	−0.251185	−	0.606415i	−0.0125750	−	0.0303587i
$400$	−5.26246	−	15.5135i	−0.263123	−	0.775673i
$401$	−9.49563	+	22.9245i	−0.474189	+	1.14479i	0.488105	+	0.872785i	$0.337688\pi$
$401$	−9.49563	+	22.9245i	−0.474189	+	1.14479i	−0.962295	+	0.272009i	$0.912312\pi$
$402$	−0.0635904	−	1.94563i	−0.00317160	−	0.0970392i
$403$	7.90031	−	2.39653i	0.393542	−	0.119380i
$404$	−13.6059	+	2.24486i	−0.676918	+	0.111686i
$405$	−0.806972	−	8.19333i	−0.0400988	−	0.407130i
$406$	7.28642	−	14.7734i	0.361619	−	0.733194i
$407$	3.22776	−	2.15672i	0.159994	−	0.106904i
$408$	−0.730495	−	3.67549i	−0.0361649	−	0.181964i
$409$	−6.12907	+	9.17280i	−0.303063	+	0.453566i	−0.951476	−	0.307723i	$-0.900433\pi$
$409$	−6.12907	+	9.17280i	−0.303063	+	0.453566i	0.648413	+	0.761289i	$0.275433\pi$
$410$	0.935100	−	3.48910i	0.0461813	−	0.172315i
$411$	2.64396	+	0.802037i	0.130417	+	0.0395616i
$412$	−5.14483	+	39.0470i	−0.253468	+	1.92371i
$413$	−2.07283	−	2.52575i	−0.101997	−	0.124284i
$414$	17.5426	−	12.5694i	0.862170	−	0.617753i
$415$	−11.2688	+	11.2688i	−0.553163	+	0.553163i
$416$	−17.4769	+	13.4031i	−0.856875	+	0.657143i
$417$	0.0978074	+	0.0978074i	0.00478965	+	0.00478965i
$418$	5.87421	+	0.970156i	0.287317	+	0.0474519i
$419$	25.0606	−	20.5667i	1.22429	−	1.00475i	0.224751	−	0.974416i	$-0.427843\pi$
$419$	25.0606	−	20.5667i	1.22429	−	1.00475i	0.999540	−	0.0303335i	$-0.00965692\pi$
$420$	−0.376706	+	0.652315i	−0.0183814	+	0.0318297i
$421$	−5.60200	+	18.4673i	−0.273025	+	0.900042i	0.708009	+	0.706204i	$0.249594\pi$
$421$	−5.60200	+	18.4673i	−0.273025	+	0.900042i	−0.981033	+	0.193838i	$0.937906\pi$
$422$	−0.733636	−	1.27085i	−0.0357129	−	0.0618640i
$423$	3.11359	+	2.08043i	0.151388	+	0.101154i
$424$	0.00402465	−	25.3916i	0.000195454	−	1.23312i
$425$	15.3947	+	23.0399i	0.746755	+	1.11760i
$426$	2.05088	−	0.696060i	0.0993656	−	0.0337242i
$427$	6.83216	−	0.672909i	0.330631	−	0.0325644i
$428$	17.3828	+	27.9604i	0.840231	+	1.35152i
$429$	0.562126	+	1.85308i	0.0271397	+	0.0894676i
$430$	−10.5476	−	9.87995i	−0.508650	−	0.476453i
$431$	−8.47334	−	3.50977i	−0.408146	−	0.169060i	0.169158	−	0.985589i	$-0.445895\pi$
$431$	−8.47334	−	3.50977i	−0.408146	−	0.169060i	−0.577304	+	0.816529i	$0.695895\pi$
$432$	3.79621	−	2.71911i	0.182645	−	0.130823i
$433$	24.7449	−	10.2497i	1.18916	−	0.492568i	0.301681	−	0.953409i	$-0.402452\pi$
$433$	24.7449	−	10.2497i	1.18916	−	0.492568i	0.887483	+	0.460841i	$0.152452\pi$
$434$	−5.67567	−	2.13651i	−0.272441	−	0.102556i
$435$	0.505649	−	0.946003i	0.0242440	−	0.0453574i
$436$	−9.73050	+	9.11168i	−0.466006	+	0.436370i
$437$	−5.41788	+	6.60170i	−0.259172	+	0.315802i
$438$	−0.0186800	+	0.284771i	−0.000892565	+	0.0136069i
$439$	4.06435	−	20.4329i	0.193981	−	0.975208i	−0.753999	−	0.656876i	$-0.771877\pi$
$439$	4.06435	−	20.4329i	0.193981	−	0.975208i	0.947979	−	0.318332i	$-0.103123\pi$
$440$	−3.21995	−	6.02641i	−0.153505	−	0.287298i
$441$	−8.45325	+	1.68146i	−0.402536	+	0.0800693i
$442$	22.6809	−	29.5551i	1.07882	−	1.40579i
$443$	−14.9812	+	8.00762i	−0.711778	+	0.380454i	−0.787200	−	0.616698i	$-0.788470\pi$
$443$	−14.9812	+	8.00762i	−0.711778	+	0.380454i	0.0754212	+	0.997152i	$0.475970\pi$
$444$	0.0390845	+	0.597281i	0.00185487	+	0.0283457i
$445$	0.385178	−	3.91078i	0.0182592	−	0.185389i
$446$	22.2791	+	13.8557i	1.05495	+	0.656086i
$447$		−	3.05195i		−	0.144352i
$448$	16.1787	+	0.00512875i	0.764372	+	0.000242311i
$449$			8.60550i			0.406119i	0.979166	+	0.203059i	$0.0650884\pi$
$449$			8.60550i			0.406119i	−0.979166	+	0.203059i	$0.934912\pi$
$450$	−9.05891	+	14.5662i	−0.427041	+	0.686657i
$451$	−0.668604	+	6.78845i	−0.0314833	+	0.319656i
$452$	21.5230	+	18.8791i	1.01235	+	0.888000i
$453$	−3.47641	+	1.85818i	−0.163336	+	0.0873048i
$454$	26.7691	+	20.5429i	1.25634	+	0.964126i
$455$	−7.34484	+	1.46098i	−0.344332	+	0.0684918i
$456$	−0.582490	+	0.709537i	−0.0272776	+	0.0332271i
$457$	−1.02405	+	5.14824i	−0.0479030	+	0.240825i	−0.997317	−	0.0732021i	$-0.976678\pi$
$457$	−1.02405	+	5.14824i	−0.0479030	+	0.240825i	0.949414	+	0.314027i	$0.101678\pi$
$458$	−40.4460	−	2.65312i	−1.88992	−	0.123972i
$459$	−5.01081	+	6.10569i	−0.233885	+	0.284989i
$460$	9.79568	+	0.321714i	0.456726	+	0.0150000i
$461$	19.2817	−	36.0735i	0.898038	−	1.68011i	0.180518	−	0.983572i	$-0.442223\pi$
$461$	19.2817	−	36.0735i	0.898038	−	1.68011i	0.717520	−	0.696538i	$-0.245277\pi$
$462$	0.501137	−	1.33127i	0.0233150	−	0.0619365i
$463$	−19.0103	+	7.87432i	−0.883483	+	0.365950i	−0.777846	−	0.628454i	$-0.783688\pi$
$463$	−19.0103	+	7.87432i	−0.883483	+	0.365950i	−0.105636	+	0.994405i	$0.533688\pi$
$464$	−23.0263	+	0.748931i	−1.06897	+	0.0347682i
$465$	−0.364846	−	0.151124i	−0.0169193	−	0.00700822i
$466$	−3.90993	+	4.17415i	−0.181124	+	0.193364i
$467$	−7.10619	−	23.4260i	−0.328835	−	1.08402i	−0.953060	−	0.302780i	$-0.902085\pi$
$467$	−7.10619	−	23.4260i	−0.328835	−	1.08402i	0.624225	−	0.781244i	$-0.285415\pi$
$468$	22.4591	+	5.23923i	1.03817	+	0.242183i
$469$	−14.1477	+	1.39343i	−0.653280	+	0.0643424i
$470$	0.546572	+	1.61043i	0.0252115	+	0.0742835i
$471$	−0.620222	−	0.928228i	−0.0285783	−	0.0427705i
$472$	−1.74945	+	4.22166i	−0.0805252	+	0.194318i
$473$	22.6919	+	15.1622i	1.04337	+	0.697160i
$474$	−3.56122	+	2.05582i	−0.163572	+	0.0944270i
$475$	1.97050	−	6.49586i	0.0904126	−	0.298050i
$476$	−26.4347	+	7.08015i	−1.21163	+	0.324518i
$477$	−20.5525	+	16.8670i	−0.941035	+	0.772287i
$478$	0.633203	−	3.83399i	0.0289620	−	0.175363i
$479$	16.8288	+	16.8288i	0.768928	+	0.768928i	0.977918	−	0.208989i	$-0.0670174\pi$
$479$	16.8288	+	16.8288i	0.768928	+	0.768928i	−0.208989	+	0.977918i	$0.567017\pi$
$480$	1.05295	+	0.0347485i	0.0480604	+	0.00158604i
$481$	−4.20772	+	4.20772i	−0.191856	+	0.191856i
$482$	−20.0618	−	27.9993i	−0.913788	−	1.27533i
$483$	1.29443	+	1.57727i	0.0588987	+	0.0717683i
$484$	−5.53728	−	7.21791i	−0.251695	−	0.328087i
$485$	3.37217	+	1.02294i	0.153122	+	0.0464491i
$486$	−7.09944	−	1.90269i	−0.322037	−	0.0863079i
$487$	0.926309	−	1.38632i	0.0419750	−	0.0628201i	−0.809889	−	0.586584i	$-0.800472\pi$
$487$	0.926309	−	1.38632i	0.0419750	−	0.0628201i	0.851864	+	0.523764i	$0.175472\pi$
$488$	−5.33312	−	7.98432i	−0.241419	−	0.361433i
$489$	1.18991	−	0.795073i	0.0538096	−	0.0359544i
$490$	−3.51051	−	1.73142i	−0.158589	−	0.0782177i
$491$	0.259160	+	2.63130i	0.0116957	+	0.118749i	0.999260	−	0.0384682i	$-0.0122478\pi$
$491$	0.259160	+	2.63130i	0.0116957	+	0.118749i	−0.987564	+	0.157217i	$0.949748\pi$
$492$	−0.854861	−	0.612721i	−0.0385401	−	0.0276236i
$493$	37.2917	−	11.3123i	1.67953	−	0.509481i
$494$	−9.12157	+	0.298127i	−0.410399	+	0.0134134i
$495$	−2.73792	+	6.60993i	−0.123060	+	0.297094i
$496$	1.10531	+	8.40941i	0.0496300	+	0.377594i
$497$	−6.05263	−	14.6124i	−0.271498	−	0.655454i
$498$	1.91482	+	4.22668i	0.0858049	+	0.189402i
$499$	25.2594	+	13.5015i	1.13077	+	0.604408i	0.927168	−	0.374646i	$-0.122236\pi$
$499$	25.2594	+	13.5015i	1.13077	+	0.604408i	0.203600	+	0.979054i	$0.434736\pi$
$500$	−16.1929	+	6.09260i	−0.724166	+	0.272470i
$501$	−2.27650	−	1.86828i	−0.101707	−	0.0834684i
$502$	1.27062	+	1.44902i	0.0567105	+	0.0646729i
$503$	−38.8834	−	7.73440i	−1.73373	−	0.344860i	−0.775605	−	0.631219i	$-0.782555\pi$
$503$	−38.8834	−	7.73440i	−1.73373	−	0.344860i	−0.958122	+	0.286359i	$0.907555\pi$
$504$	−10.7450	−	13.0971i	−0.478622	−	0.583391i
$505$	1.27934	+	6.43167i	0.0569298	+	0.286205i
$506$	−18.3498	+	2.41481i	−0.815748	+	0.107351i
$507$	−0.199285	−	0.372835i	−0.00885054	−	0.0165582i
$508$	−22.6711	+	11.1772i	−1.00587	+	0.495906i
$509$	9.48606	+	0.934295i	0.420462	+	0.0414119i	0.306036	−	0.952020i	$-0.400997\pi$
$509$	9.48606	+	0.934295i	0.420462	+	0.0414119i	0.114426	+	0.993432i	$0.463497\pi$
$510$	−1.73551	+	0.404568i	−0.0768498	+	0.0179146i
$511$	2.08410			0.0921951
$512$	−10.6570	−	19.9607i	−0.470977	−	0.882145i
$513$	1.93494			0.0854298
$514$	27.6609	−	6.44807i	1.22007	−	0.284412i
$515$	18.6388	+	1.83577i	0.821326	+	0.0808935i
$516$	−3.77424	+	1.86075i	−0.166152	+	0.0819151i
$517$	−1.51389	−	2.83228i	−0.0665806	−	0.124564i
$518$	4.33379	−	0.570322i	0.190416	−	0.0250585i
$519$	−0.681385	−	3.42555i	−0.0299095	−	0.150365i
$520$	6.64316	+	8.09733i	0.291322	+	0.355091i
$521$	−3.90600	−	0.776952i	−0.171125	−	0.0340389i	0.108784	−	0.994065i	$-0.465304\pi$
$521$	−3.90600	−	0.776952i	−0.171125	−	0.0340389i	−0.279909	+	0.960027i	$0.590304\pi$
$522$	15.9049	+	18.1380i	0.696137	+	0.793877i
$523$	−33.3898	−	27.4023i	−1.46003	−	1.19822i	−0.938638	−	0.344904i	$-0.887911\pi$
$523$	−33.3898	−	27.4023i	−1.46003	−	1.19822i	−0.521396	−	0.853315i	$-0.674589\pi$
$524$	−35.7560	+	13.4533i	−1.56201	+	0.587710i
$525$	−1.43032	−	0.764520i	−0.0624241	−	0.0333664i
$526$	2.56314	+	5.65776i	0.111758	+	0.246690i
$527$	−5.49033	−	13.2548i	−0.239163	−	0.577389i
$528$	−1.97249	+	0.259260i	−0.0858418	+	0.0112828i
$529$	1.35788	−	3.27820i	0.0590381	−	0.142531i
$530$	−12.0684	+	0.394439i	−0.524216	+	0.0171333i
$531$	4.57901	−	1.38903i	0.198712	−	0.0602786i
$532$	5.44893	+	3.90552i	0.236241	+	0.169326i
$533$	−1.02489	−	10.4059i	−0.0443929	−	0.450729i
$534$	−1.02618	−	0.506122i	−0.0444071	−	0.0219021i
$535$	13.0179	−	8.69829i	0.562813	−	0.376060i
$536$	11.0436	+	16.5335i	0.477009	+	0.714140i
$537$	−0.245027	+	0.366708i	−0.0105737	+	0.0158246i
$538$	−23.3040	−	6.24561i	−1.00471	−	0.269267i
$539$	7.07337	+	2.14568i	0.304672	+	0.0924211i
$540$	−1.35162	−	1.76185i	−0.0581643	−	0.0758178i
$541$	9.85762	+	12.0115i	0.423812	+	0.516416i	0.940517	−	0.339747i	$-0.110342\pi$
$541$	9.85762	+	12.0115i	0.423812	+	0.516416i	−0.516705	+	0.856164i	$0.672842\pi$
$542$	12.0495	+	16.8170i	0.517571	+	0.722350i
$543$	−1.50169	+	1.50169i	−0.0644439	+	0.0644439i
$544$	26.1567	+	27.9421i	1.12146	+	1.19801i
$545$	4.48255	+	4.48255i	0.192012	+	0.192012i
$546$	−0.355304	+	2.15134i	−0.0152056	+	0.0920687i
$547$	6.36368	−	5.22254i	0.272091	−	0.223300i	−0.488446	−	0.872594i	$-0.662436\pi$
$547$	6.36368	−	5.22254i	0.272091	−	0.223300i	0.760537	+	0.649295i	$0.224936\pi$
$548$	−27.2588	+	7.30090i	−1.16444	+	0.311879i
$549$	−2.91850	+	9.62100i	−0.124558	+	0.410614i
$550$	12.7405	−	7.35481i	0.543255	−	0.313610i
$551$	−7.93765	−	5.30377i	−0.338155	−	0.225948i
$552$	1.09249	−	2.63633i	0.0464995	−	0.112209i
$553$	16.6834	+	24.9685i	0.709450	+	1.06177i
$554$	6.98022	+	20.5666i	0.296561	+	0.873792i
$555$	0.283270	−	0.0278997i	0.0120242	−	0.00118428i
$556$	−1.37582	−	0.320949i	−0.0583477	−	0.0136113i
$557$	−6.76405	−	22.2981i	−0.286602	−	0.944801i	−0.975511	−	0.219952i	$-0.929410\pi$
$557$	−6.76405	−	22.2981i	−0.286602	−	0.944801i	0.688908	−	0.724848i	$-0.258090\pi$
$558$	6.07150	−	6.48179i	0.257027	−	0.274396i
$559$	−38.6498	−	16.0093i	−1.63471	−	0.677120i
$560$	−0.250105	−	7.68962i	−0.0105689	−	0.324946i
$561$	3.10903	−	1.28780i	0.131263	−	0.0543710i
$562$	6.53425	−	17.3583i	0.275631	−	0.732216i
$563$	−3.41699	+	6.39273i	−0.144009	+	0.269422i	−0.943577	−	0.331154i	$-0.892562\pi$
$563$	−3.41699	+	6.39273i	−0.144009	+	0.269422i	0.799568	+	0.600576i	$0.205062\pi$
$564$	0.494908	+	0.0162540i	0.0208394	+	0.000684416i
$565$	8.63706	−	10.5243i	0.363364	−	0.442760i
$566$	−30.2877	−	1.98677i	−1.27309	−	0.0835101i
$567$	−3.41527	+	17.1697i	−0.143428	+	0.721061i
$568$	−14.0358	+	17.0972i	−0.588931	+	0.717382i
$569$	−23.6128	+	4.69688i	−0.989901	+	0.196904i	−0.663377	−	0.748285i	$-0.730877\pi$
$569$	−23.6128	+	4.69688i	−0.989901	+	0.196904i	−0.326524	+	0.945189i	$0.605877\pi$
$570$	0.346326	+	0.265775i	0.0145060	+	0.0111321i
$571$	9.51954	−	5.08830i	0.398380	−	0.212939i	−0.260026	−	0.965602i	$-0.583731\pi$
$571$	9.51954	−	5.08830i	0.398380	−	0.212939i	0.658406	+	0.752663i	$0.271231\pi$
$572$	−14.8688	−	13.0424i	−0.621695	−	0.545328i
$573$	−0.0391030	+	0.397020i	−0.00163355	+	0.0165857i
$574$	−4.05636	+	6.52239i	−0.169309	+	0.272239i
$575$			21.1017i			0.880003i
$576$	−9.07395	+	21.8868i	−0.378081	+	0.911951i
$577$		−	3.91673i		−	0.163055i	−0.996671	−	0.0815277i	$-0.974020\pi$
$577$		−	3.91673i		−	0.163055i	0.996671	−	0.0815277i	$-0.0259799\pi$
$578$	−34.5613	−	21.4941i	−1.43756	−	0.894038i
$579$	−0.329792	+	3.34843i	−0.0137057	+	0.139156i
$580$	0.715388	+	10.9324i	0.0297049	+	0.453944i
$581$	29.8851	−	15.9739i	1.23984	−	0.662711i
$582$	0.624661	−	0.813985i	0.0258930	−	0.0337408i
$583$	22.3638	−	4.44843i	0.926213	−	0.184235i
$584$	−1.37362	−	2.57085i	−0.0568409	−	0.106382i
$585$	2.13956	−	10.7563i	0.0884600	−	0.444719i
$586$	0.860251	−	13.1143i	0.0355367	−	0.541746i
$587$	16.6393	−	20.2751i	0.686778	−	0.836841i	−0.306587	−	0.951843i	$-0.599187\pi$
$587$	16.6393	−	20.2751i	0.686778	−	0.836841i	0.993365	+	0.115001i	$0.0366871\pi$
$588$	−0.831915	+	0.779008i	−0.0343076	+	0.0321258i
$589$	−1.65677	+	3.09961i	−0.0682662	+	0.127717i
$590$	2.03381	+	0.765596i	0.0837308	+	0.0315191i
$591$	−1.62257	+	0.672091i	−0.0667436	+	0.0276461i
$592$	−3.55991	−	4.97007i	−0.146311	−	0.204268i
$593$	12.0737	+	5.00110i	0.495809	+	0.205371i	0.616554	−	0.787313i	$-0.288528\pi$
$593$	12.0737	+	5.00110i	0.495809	+	0.205371i	−0.120745	+	0.992684i	$0.538528\pi$
$594$	3.06040	+	2.86668i	0.125570	+	0.117621i
$595$	3.77774	+	12.4535i	0.154872	+	0.510546i
$596$	16.4579	+	26.4727i	0.674142	+	1.08436i
$597$	−4.24304	+	0.417903i	−0.173656	+	0.0171036i
$598$	26.8654	−	9.11799i	1.09861	−	0.372862i
$599$	10.0506	+	15.0417i	0.410654	+	0.614588i	0.977928	−	0.208942i	$-0.0670018\pi$
$599$	10.0506	+	15.0417i	0.410654	+	0.614588i	−0.567274	+	0.823529i	$0.692002\pi$
$600$	−0.000359527		2.26826i	−1.46776e−5		0.0926015i
$601$	16.2237	+	10.8403i	0.661778	+	0.442186i	0.840571	−	0.541701i	$-0.182219\pi$
$601$	16.2237	+	10.8403i	0.661778	+	0.442186i	−0.178793	+	0.983887i	$0.557219\pi$
$602$	15.3637	+	26.6140i	0.626179	+	1.08471i
$603$	6.04348	−	19.9227i	0.246109	−	0.811314i
$604$	20.1341	−	34.8647i	0.819243	−	1.41862i
$605$	−3.34415	+	2.74447i	−0.135959	+	0.111579i
$606$	1.88386	+	0.311129i	0.0765267	+	0.0126388i
$607$	−12.1981	−	12.1981i	−0.495108	−	0.495108i	0.414803	−	0.909911i	$-0.363850\pi$
$607$	−12.1981	−	12.1981i	−0.495108	−	0.495108i	−0.909911	+	0.414803i	$0.863850\pi$
$608$	1.22630	−	9.29567i	0.0497329	−	0.376989i
$609$	−1.61280	+	1.61280i	−0.0653540	+	0.0653540i
$610$	−3.71160	+	2.65940i	−0.150278	+	0.107676i
$611$	3.12301	+	3.80539i	0.126343	+	0.153950i
$612$	5.23534	−	39.7339i	0.211626	−	1.60615i
$613$	−32.3735	−	9.82038i	−1.30755	−	0.396642i	−0.441799	−	0.897114i	$-0.645660\pi$
$613$	−32.3735	−	9.82038i	−1.30755	−	0.396642i	−0.865753	+	0.500472i	$0.833160\pi$
$614$	−5.12202	+	19.1116i	−0.206708	+	0.771282i
$615$	−0.277875	+	0.415869i	−0.0112050	+	0.0167695i
$616$	2.83214	+	14.2499i	0.114110	+	0.574146i
$617$	24.7336	−	16.5265i	0.995739	−	0.665331i	0.0529065	−	0.998599i	$-0.483151\pi$
$617$	24.7336	−	16.5265i	0.995739	−	0.665331i	0.942832	+	0.333268i	$0.108151\pi$
$618$	2.41219	−	4.89078i	0.0970324	−	0.196736i
$619$	−3.16843	−	32.1696i	−0.127350	−	1.29300i	−0.820265	−	0.571984i	$-0.806174\pi$
$619$	−3.16843	−	32.1696i	−0.127350	−	1.29300i	0.692915	−	0.721020i	$-0.256326\pi$
$620$	3.97963	−	0.656608i	0.159826	−	0.0263700i
$621$	−5.75598	+	1.74606i	−0.230979	+	0.0700668i
$622$	−0.301280	−	9.21805i	−0.0120802	−	0.369610i
$623$	−3.19766	+	7.71984i	−0.128112	+	0.309289i
$624$	2.88797	−	0.979652i	0.115611	−	0.0392175i
$625$	−4.68777	−	11.3173i	−0.187511	−	0.452691i
$626$	2.24342	−	1.01634i	0.0896649	−	0.0406209i
$627$	−0.727038	−	0.388610i	−0.0290351	−	0.0155196i
$628$	10.3854	+	4.70688i	0.414422	+	0.187825i
$629$	7.99369	+	6.56025i	0.318729	+	0.261574i
$630$	−6.05716	+	5.31142i	−0.241323	+	0.211612i
$631$	24.9519	+	4.96325i	0.993320	+	0.197584i	0.664887	−	0.746944i	$-0.268480\pi$
$631$	24.9519	+	4.96325i	0.993320	+	0.197584i	0.328433	+	0.944527i	$0.393480\pi$
$632$	19.8039	−	37.0365i	0.787759	−	1.47323i
$633$	0.0396388	+	0.199278i	0.00157550	+	0.00792057i
$634$	0.897636	+	6.82101i	0.0356497	+	0.270897i
$635$	5.66625	+	10.6008i	0.224858	+	0.420680i
$636$	−1.13047	+	3.32909i	−0.0448260	+	0.132007i
$637$	−11.2759	−	1.11058i	−0.446769	−	0.0440029i
$638$	−4.69686	−	20.1486i	−0.185951	−	0.797689i
$639$	23.1625			0.916295
$640$	−9.32071	+	5.37672i	−0.368433	+	0.212533i
$641$	13.7451			0.542898			0.271449	−	0.962453i	$-0.412497\pi$
$641$	13.7451			0.542898			0.271449	+	0.962453i	$0.412497\pi$
$642$	−1.03493	−	4.43964i	−0.0408455	−	0.175219i
$643$	23.3220	+	2.29702i	0.919729	+	0.0905854i	0.546790	−	0.837270i	$-0.315850\pi$
$643$	23.3220	+	2.29702i	0.919729	+	0.0905854i	0.372940	+	0.927856i	$0.378350\pi$
$644$	−19.7335	−	6.70095i	−0.777610	−	0.264055i
$645$	0.943308	+	1.76480i	0.0371427	+	0.0694891i
$646$	2.06930	+	15.7243i	0.0814157	+	0.618666i
$647$	−2.71410	−	13.6447i	−0.106702	−	0.536429i	−0.996750	−	0.0805611i	$-0.974329\pi$
$647$	−2.71410	−	13.6447i	−0.106702	−	0.536429i	0.890047	−	0.455868i	$-0.150671\pi$
$648$	23.4308	−	7.10359i	0.920448	−	0.279056i
$649$	−4.02487	−	0.800597i	−0.157990	−	0.0314262i
$650$	−16.9549	+	14.8674i	−0.665025	+	0.583149i
$651$	0.649102	+	0.532704i	0.0254403	+	0.0208783i
$652$	−6.03382	+	13.3132i	−0.236303	+	0.521384i
$653$	−30.7111	−	16.4154i	−1.20182	−	0.642385i	−0.255873	−	0.966710i	$-0.582363\pi$
$653$	−30.7111	−	16.4154i	−1.20182	−	0.642385i	−0.945946	+	0.324325i	$0.894863\pi$
$654$	1.68131	−	0.761685i	0.0657444	−	0.0297842i
$655$	6.95233	+	16.7844i	0.271650	+	0.655821i
$656$	10.7192	+	0.704851i	0.418516	+	0.0275198i
$657$	−1.16799	+	2.81978i	−0.0455676	+	0.110010i
$658$	−0.118127	−	3.61424i	−0.00460506	−	0.140898i
$659$	−17.4995	+	5.30843i	−0.681685	+	0.206787i	−0.612090	−	0.790788i	$-0.709671\pi$
$659$	−17.4995	+	5.30843i	−0.681685	+	0.206787i	−0.0695955	+	0.997575i	$0.522171\pi$
$660$	0.154013	+	0.933455i	0.00599494	+	0.0363347i
$661$	3.21451	+	32.6374i	0.125030	+	1.26945i	0.829012	+	0.559231i	$0.188904\pi$
$661$	3.21451	+	32.6374i	0.125030	+	1.26945i	−0.703982	+	0.710218i	$0.748596\pi$
$662$	−13.8831	+	28.1485i	−0.539583	+	1.09402i
$663$	−4.28907	+	2.86587i	−0.166574	+	0.111301i
$664$	−39.4019	−	26.3365i	−1.52909	−	1.02206i
$665$	1.77119	−	2.65077i	0.0686838	−	0.102793i
$666$	−1.65714	+	6.18323i	−0.0642129	+	0.239595i
$667$	28.3986	+	8.61461i	1.09960	+	0.333559i
$668$	29.8213	+	3.92925i	1.15382	+	0.152027i
$669$	−2.30459	−	2.80815i	−0.0891007	−	0.108569i
$670$	7.68579	−	5.50695i	0.296928	−	0.212752i
$671$	6.09694	−	6.09694i	0.235370	−	0.235370i
$672$	−2.12108	−	0.720634i	−0.0818224	−	0.0277991i
$673$	17.3933	+	17.3933i	0.670463	+	0.670463i	0.957823	−	0.287359i	$-0.0927774\pi$
$673$	17.3933	+	17.3933i	0.670463	+	0.670463i	−0.287359	+	0.957823i	$0.592777\pi$
$674$	8.82162	+	1.45693i	0.339796	+	0.0561190i
$675$	3.69574	−	3.03301i	0.142249	−	0.116741i
$676$	3.73914	+	2.15932i	0.143813	+	0.0830509i
$677$	8.43692	−	27.8128i	0.324257	−	1.06893i	−0.631647	−	0.775256i	$-0.717621\pi$
$677$	8.43692	−	27.8128i	0.324257	−	1.06893i	0.955905	−	0.293677i	$-0.0948791\pi$
$678$	−1.98190	−	3.43316i	−0.0761143	−	0.131850i
$679$	−6.23023	−	4.16290i	−0.239094	−	0.159758i
$680$	12.8722	−	12.8681i	0.493627	−	0.493470i
$681$	−2.59572	−	3.88477i	−0.0994681	−	0.148865i
$682$	−7.21260	+	2.44792i	−0.276185	+	0.0937358i
$683$	15.1645	−	1.49357i	0.580253	−	0.0571499i	0.196367	−	0.980530i	$-0.437086\pi$
$683$	15.1645	−	1.49357i	0.580253	−	0.0571499i	0.383886	+	0.923381i	$0.374586\pi$
$684$	−8.33789	+	5.18361i	−0.318807	+	0.198200i
$685$	3.89552	+	12.8418i	0.148840	+	0.490661i
$686$	20.6857	+	19.3763i	0.789782	+	0.739790i
$687$	5.18510	+	2.14774i	0.197824	+	0.0819414i
$688$	22.7036	−	36.4932i	0.865567	−	1.39129i
$689$	−32.2920	+	13.3758i	−1.23023	+	0.509576i
$690$	−1.27007	−	0.478096i	−0.0483506	−	0.0182008i
$691$	−5.88400	+	11.0082i	−0.223838	+	0.418771i	−0.968624	−	0.248532i	$-0.920052\pi$
$691$	−5.88400	+	11.0082i	−0.223838	+	0.418771i	0.744786	+	0.667304i	$0.232552\pi$
$692$	24.3829	+	26.0389i	0.926900	+	0.989851i
$693$	9.65102	−	11.7598i	0.366612	−	0.446718i
$694$	2.73893	−	41.7541i	0.103968	−	1.58496i
$695$	−0.131067	+	0.658920i	−0.00497167	+	0.0249942i
$696$	3.05247	+	0.926485i	0.115704	+	0.0351183i
$697$	−17.8217	+	3.54495i	−0.675044	+	0.134275i
$698$	25.1419	−	32.7620i	0.951636	−	1.24006i
$699$	0.698411	−	0.373309i	0.0264163	−	0.0141198i
$700$	16.5293	−	1.08164i	0.624751	−	0.0408820i
$701$	−0.362249	+	3.67798i	−0.0136820	+	0.138915i	−0.999599	−	0.0283205i	$-0.990984\pi$
$701$	−0.362249	+	3.67798i	−0.0136820	+	0.138915i	0.985917	+	0.167236i	$0.0534841\pi$
$702$	−5.45836	−	3.39462i	−0.206012	−	0.128122i
$703$		−	2.53326i		−	0.0955437i
$704$	15.7114	−	12.8857i	0.592145	−	0.485647i
$705$		−	0.235477i		−	0.00886860i
$706$	3.74664	−	6.02438i	0.141007	−	0.226730i
$707$	1.36674	−	13.8767i	0.0514014	−	0.521888i
$708$	0.417250	−	0.475681i	0.0156812	−	0.0178772i
$709$	18.7915	−	10.0443i	0.705731	−	0.377221i	−0.0791539	−	0.996862i	$-0.525222\pi$
$709$	18.7915	−	10.0443i	0.705731	−	0.377221i	0.784885	+	0.619641i	$0.212722\pi$
$710$	8.34518	+	6.40418i	0.313189	+	0.240345i
$711$	−43.1320	+	8.57950i	−1.61758	+	0.321756i
$712$	11.6304	−	1.14363i	0.435868	−	0.0428595i
$713$	2.13147	−	10.7156i	0.0798241	−	0.401303i
$714$	3.78111	+	0.248028i	0.141504	+	0.00928220i
$715$	−5.96678	+	7.27054i	−0.223145	+	0.271903i
$716$	0.147862	−	4.50217i	0.00552586	−	0.168254i
$717$	−0.253639	+	0.474524i	−0.00947230	+	0.0177214i
$718$	−6.85593	+	18.2129i	−0.255861	+	0.679698i
$719$	13.3372	−	5.52447i	0.497395	−	0.206028i	−0.119860	−	0.992791i	$-0.538245\pi$
$719$	13.3372	−	5.52447i	0.497395	−	0.206028i	0.617255	+	0.786763i	$0.288245\pi$
$720$	10.5442	+	3.97109i	0.392958	+	0.147994i
$721$	−36.7929	−	15.2401i	−1.37024	−	0.567572i
$722$	−15.7131	+	16.7750i	−0.584782	+	0.624299i
$723$	1.38446	+	4.56395i	0.0514885	+	0.169735i
$724$	4.92772	−	21.1237i	0.183137	−	0.785058i
$725$	−23.4745	+	2.31204i	−0.871822	+	0.0858670i
$726$	0.404832	+	1.19280i	0.0150247	+	0.0442691i
$727$	4.95895	+	7.42159i	0.183917	+	0.275252i	0.911959	−	0.410281i	$-0.134569\pi$
$727$	4.95895	+	7.42159i	0.183917	+	0.275252i	−0.728042	+	0.685533i	$0.759569\pi$
$728$	−8.51935	−	20.5768i	−0.315748	−	0.762625i
$729$	−20.7463	−	13.8623i	−0.768383	−	0.513417i
$730$	−1.20045	+	0.692996i	−0.0444306	+	0.0256489i
$731$	−21.1035	+	69.5691i	−0.780543	+	2.57310i
$732$	0.343957	+	1.28421i	0.0127130	+	0.0474657i
$733$	18.9015	−	15.5121i	0.698143	−	0.572951i	−0.216956	−	0.976181i	$-0.569613\pi$
$733$	18.9015	−	15.5121i	0.698143	−	0.572951i	0.915098	+	0.403231i	$0.132113\pi$
$734$	−5.81769	+	35.2257i	−0.214735	+	1.30020i
$735$	0.383239	+	0.383239i	0.0141360	+	0.0141360i
$736$	4.74031	+	28.7589i	0.174730	+	1.06007i
$737$	−12.6252	+	12.6252i	−0.465057	+	0.465057i
$738$	−6.55145	−	9.14356i	−0.241162	−	0.336579i
$739$	−12.9996	−	15.8401i	−0.478198	−	0.582686i	0.476907	−	0.878954i	$-0.341758\pi$
$739$	−12.9996	−	15.8401i	−0.478198	−	0.582686i	−0.955105	+	0.296268i	$0.904258\pi$
$740$	−2.30664	+	1.76956i	−0.0847938	+	0.0650504i
$741$	1.20926	+	0.366825i	0.0444233	+	0.0134757i
$742$	24.8000	+	6.64654i	0.910436	+	0.244002i
$743$	4.15905	−	6.22446i	0.152581	−	0.228353i	−0.747303	−	0.664484i	$-0.768651\pi$
$743$	4.15905	−	6.22446i	0.152581	−	0.228353i	0.899883	+	0.436131i	$0.143651\pi$
$744$	0.229298	−	1.15181i	0.00840648	−	0.0422272i
$745$	12.3252	−	8.23546i	0.451562	−	0.301724i
$746$	−26.2836	−	12.9634i	−0.962312	−	0.474623i
$747$	4.86417	+	49.3867i	0.177971	+	1.80696i
$748$	−20.0232	+	27.9361i	−0.732121	+	1.02145i
$749$	−31.8576	+	9.66390i	−1.16405	+	0.353111i
$750$	2.39429	−	0.0782542i	0.0874269	−	0.00285744i
$751$	−4.31391	+	10.4147i	−0.157417	+	0.380038i	−0.982836	−	0.184483i	$-0.940939\pi$
$751$	−4.31391	+	10.4147i	−0.157417	+	0.380038i	0.825419	+	0.564521i	$0.190939\pi$
$752$	−4.38050	+	2.52785i	−0.159740	+	0.0921811i
$753$	−0.102118	−	0.246535i	−0.00372139	−	0.00898422i
$754$	13.0868	+	28.8873i	0.476594	+	1.05201i
$755$	−16.8850	−	9.02524i	−0.614509	−	0.328462i
$756$	1.66276	+	4.41925i	0.0604739	+	0.160727i
$757$	−21.6534	−	17.7705i	−0.787005	−	0.645879i	0.152542	−	0.988297i	$-0.451254\pi$
$757$	−21.6534	−	17.7705i	−0.787005	−	0.645879i	−0.939548	+	0.342418i	$0.888754\pi$
$758$	1.93697	+	2.20893i	0.0703539	+	0.0802318i
$759$	2.51343	+	0.499953i	0.0912319	+	0.0181472i
$760$	−4.43726	−	0.437742i	−0.160956	−	0.0158786i
$761$	3.85395	+	19.3751i	0.139706	+	0.702347i	0.985613	+	0.169017i	$0.0540594\pi$
$761$	3.85395	+	19.3751i	0.139706	+	0.702347i	−0.845908	+	0.533330i	$0.820941\pi$
$762$	3.46996	−	0.456642i	0.125703	−	0.0165424i
$763$	−6.35419	−	11.8879i	−0.230037	−	0.430369i
$764$	−1.80178	−	3.65463i	−0.0651862	−	0.132220i
$765$	−18.9667	−	1.86806i	−0.685744	−	0.0675399i
$766$	−34.5104	+	8.04476i	−1.24691	+	0.290669i
$767$	6.29051			0.227137
$768$	0.509055	+	3.09143i	0.0183689	+	0.111552i
$769$	−2.98043			−0.107477			−0.0537385	−	0.998555i	$-0.517114\pi$
$769$	−2.98043			−0.107477			−0.0537385	+	0.998555i	$0.517114\pi$
$770$	6.72861	−	1.56852i	0.242482	−	0.0565254i
$771$	−3.91376	−	0.385471i	−0.140951	−	0.0138824i
$772$	−15.1961	−	30.8228i	−0.546919	−	1.10934i
$773$	4.53232	+	8.47937i	0.163016	+	0.304982i	0.950146	−	0.311806i	$-0.100934\pi$
$773$	4.53232	+	8.47937i	0.163016	+	0.304982i	−0.787130	+	0.616787i	$0.788434\pi$
$774$	−44.6189	+	5.87179i	−1.60379	+	0.211057i
$775$	1.69418	+	8.51723i	0.0608569	+	0.305948i
$776$	−1.02884	+	10.4291i	−0.0369333	+	0.374382i
$777$	−0.593614	−	0.118077i	−0.0212958	−	0.00423600i
$778$	−11.0492	−	12.6005i	−0.396133	−	0.451751i
$779$	3.44095	+	2.82391i	0.123285	+	0.101177i
$780$	−0.510696	−	1.35732i	−0.0182859	−	0.0485999i
$781$	−17.5189	−	9.36406i	−0.626876	−	0.335072i
$782$	−20.3450	−	44.9088i	−0.727537	−	1.60593i
$783$	−2.57305	−	6.21190i	−0.0919534	−	0.221995i
$784$	3.01518	−	11.2433i	0.107685	−	0.401547i
$785$	2.07501	−	5.00951i	0.0740602	−	0.178797i
$786$	5.28691	−	0.172796i	0.188578	−	0.00616343i
$787$	−17.0304	+	5.16611i	−0.607068	+	0.184152i	−0.578829	−	0.815449i	$-0.696490\pi$
$787$	−17.0304	+	5.16611i	−0.607068	+	0.184152i	−0.0282391	+	0.999601i	$0.508990\pi$
$788$	10.4499	−	14.5796i	0.372263	−	0.519376i
$789$	−0.0842978	−	0.855890i	−0.00300108	−	0.0304705i
$790$	−17.9121	−	8.83445i	−0.637284	−	0.314315i
$791$	−24.0706	+	16.0835i	−0.855852	+	0.571862i
$792$	−20.8673	−	4.15420i	−0.741487	−	0.147613i
$793$	−7.34300	+	10.9896i	−0.260758	+	0.390252i
$794$	25.9093	+	6.94384i	0.919487	+	0.246428i
$795$	1.59992	+	0.485331i	0.0567434	+	0.0172129i
$796$	34.5506	−	26.5058i	1.22461	−	0.939474i
$797$	19.1419	+	23.3245i	0.678041	+	0.826195i	0.992393	−	0.123111i	$-0.0392873\pi$
$797$	19.1419	+	23.3245i	0.678041	+	0.826195i	−0.314352	+	0.949306i	$0.601787\pi$
$798$	−0.540651	−	0.754562i	−0.0191388	−	0.0267112i
$799$	6.04921	−	6.04921i	0.214006	−	0.214006i
$800$	−12.2287	−	19.6769i	−0.432349	−	0.695684i
$801$	−8.65285	−	8.65285i	−0.305733	−	0.305733i
$802$	−5.71804	+	34.6223i	−0.201911	+	1.22255i
$803$	2.02337	−	1.66054i	0.0714034	−	0.0585992i
$804$	−0.712249	−	2.65927i	−0.0251191	−	0.0937854i
$805$	−2.87685	+	9.48369i	−0.101396	+	0.334256i
$806$	10.1116	−	5.83720i	0.356164	−	0.205607i
$807$	2.77762	+	1.85595i	0.0977769	+	0.0653325i
$808$	−18.0185	+	7.46015i	−0.633888	+	0.262447i
$809$	−19.5631	−	29.2783i	−0.687804	−	1.02937i	−0.996926	−	0.0783485i	$-0.975035\pi$
$809$	−19.5631	−	29.2783i	−0.687804	−	1.02937i	0.309123	−	0.951022i	$-0.399965\pi$
$810$	−3.74199	−	11.0255i	−0.131480	−	0.387396i
$811$	−50.9941	+	5.02248i	−1.79065	+	0.176363i	−0.938117	−	0.346318i	$-0.887432\pi$
$811$	−50.9941	+	5.02248i	−1.79065	+	0.176363i	−0.852528	+	0.522681i	$0.824932\pi$
$812$	5.29231	−	22.6867i	0.185724	−	0.796146i
$813$	−0.831535	−	2.74120i	−0.0291632	−	0.0961382i
$814$	3.75311	−	4.00673i	0.131546	−	0.140436i
$815$	6.42177	+	2.65999i	0.224945	+	0.0931752i
$816$	−2.18616	−	4.82767i	−0.0765309	−	0.169002i
$817$	16.4537	−	6.81536i	0.575644	−	0.238439i
$818$	−5.49646	+	14.6014i	−0.192179	+	0.510526i
$819$	−10.9928	+	20.5661i	−0.384120	+	0.718639i
$820$	0.167684	−	5.10572i	0.00585578	−	0.178300i
$821$	−10.1986	+	12.4270i	−0.355933	+	0.433706i	−0.919937	−	0.392066i	$-0.871760\pi$
$821$	−10.1986	+	12.4270i	−0.355933	+	0.433706i	0.564004	+	0.825772i	$0.309260\pi$
$822$	3.89900	+	0.255761i	0.135993	+	0.00892068i
$823$	−6.04695	+	30.4000i	−0.210783	+	1.05968i	0.719963	+	0.694013i	$0.244159\pi$
$823$	−6.04695	+	30.4000i	−0.210783	+	1.05968i	−0.930746	+	0.365666i	$0.880841\pi$
$824$	5.45058	+	55.4307i	0.189880	+	1.93102i
$825$	−1.99779	+	0.397384i	−0.0695540	+	0.0138351i
$826$	−3.66581	−	2.81318i	−0.127550	−	0.0978831i
$827$	17.6267	−	9.42166i	0.612940	−	0.327623i	−0.135549	−	0.990771i	$-0.543280\pi$
$827$	17.6267	−	9.42166i	0.612940	−	0.327623i	0.748489	+	0.663148i	$0.230780\pi$
$828$	20.1256	−	22.9439i	0.699413	−	0.797357i
$829$	−4.02892	+	40.9064i	−0.139930	+	1.42074i	0.627007	+	0.779014i	$0.284280\pi$
$829$	−4.02892	+	40.9064i	−0.139930	+	1.42074i	−0.766937	+	0.641723i	$0.778220\pi$
$830$	−11.9024	+	19.1383i	−0.413138	+	0.664301i
$831$		−	3.00726i		−	0.104321i
$832$	−19.7674	+	24.0711i	−0.685313	+	0.834516i
$833$			19.6901i			0.682223i
$834$	0.166111	+	0.103307i	0.00575196	+	0.00357722i
$835$	1.40203	−	14.2350i	0.0485191	−	0.492623i
$836$	8.40196	−	0.549802i	0.290588	−	0.0190153i
$837$	−2.18308	+	1.16688i	−0.0754584	+	0.0403334i
$838$	27.9125	−	36.3723i	0.964220	−	1.25646i
$839$	51.5445	−	10.2528i	1.77951	−	0.353967i	0.807677	−	0.589625i	$-0.200724\pi$
$839$	51.5445	−	10.2528i	1.77951	−	0.353967i	0.971836	+	0.235658i	$0.0757244\pi$
$840$	−0.309399	+	1.01937i	−0.0106753	+	0.0351716i
$841$	−0.814141	+	4.09296i	−0.0280738	+	0.141137i
$842$	−1.78642	+	27.2334i	−0.0615640	+	0.938525i
$843$	−1.62921	+	1.98519i	−0.0561129	+	0.0683737i
$844$	−1.41845	−	1.51478i	−0.0488250	−	0.0521410i
$845$	0.967933	−	1.81088i	0.0332979	−	0.0622960i
$846$	4.95625	+	1.86570i	0.170399	+	0.0641441i
$847$	8.49862	−	3.52025i	0.292016	−	0.120957i
$848$	−8.14672	−	34.9728i	−0.279759	−	1.20097i
$849$	3.88283	+	1.60832i	0.133258	+	0.0551974i
$850$	28.6002	+	26.7899i	0.980979	+	0.918884i
$851$	2.28597	+	7.53583i	0.0783620	+	0.258325i
$852$	2.60117	−	1.61713i	0.0891148	−	0.0554021i
$853$	−29.1219	+	2.86825i	−0.997114	+	0.0982071i	−0.583387	−	0.812194i	$-0.698273\pi$
$853$	−29.1219	+	2.86825i	−0.997114	+	0.0982071i	−0.413726	+	0.910401i	$0.635773\pi$
$854$	9.19380	−	3.12033i	0.314605	−	0.106776i
$855$	2.59386	+	3.88198i	0.0887081	+	0.132761i
$856$	32.9182	+	32.9286i	1.12512	+	1.12548i
$857$	−43.8305	−	29.2866i	−1.49722	−	1.00041i	−0.990380	−	0.138372i	$-0.955813\pi$
$857$	−43.8305	−	29.2866i	−1.49722	−	1.00041i	−0.506841	−	0.862039i	$-0.669187\pi$
$858$	1.36916	+	2.37175i	0.0467424	+	0.0809701i
$859$	6.07665	−	20.0320i	0.207333	−	0.683484i	−0.790172	−	0.612885i	$-0.790009\pi$
$859$	6.07665	−	20.0320i	0.207333	−	0.683484i	0.997505	−	0.0705992i	$-0.0224911\pi$
$860$	−17.6991	−	10.2211i	−0.603536	−	0.348536i
$861$	0.822108	−	0.674687i	0.0280174	−	0.0229933i
$862$	−12.7971	−	2.11350i	−0.435870	−	0.0719861i
$863$	19.7969	+	19.7969i	0.673896	+	0.673896i	0.958612	−	0.284716i	$-0.0918993\pi$
$863$	19.7969	+	19.7969i	0.673896	+	0.673896i	−0.284716	+	0.958612i	$0.591899\pi$
$864$	4.35547	−	4.96381i	0.148176	−	0.168872i
$865$	11.9954	−	11.9954i	0.407855	−	0.407855i
$866$	30.7901	−	22.0614i	1.04629	−	0.749676i
$867$	3.57508	+	4.35625i	0.121416	+	0.147946i
$868$	−8.50298	−	1.12035i	−0.288610	−	0.0380273i
$869$	36.0913	+	10.9482i	1.22431	+	0.371392i
$870$	0.392699	−	1.46526i	0.0133137	−	0.0496770i
$871$	15.2055	−	22.7567i	0.515219	−	0.771080i
$872$	−10.4763	+	15.6735i	−0.354772	+	0.530771i
$873$	9.12399	−	6.09645i	0.308800	−	0.206334i
$874$	−5.34242	+	10.8319i	−0.180710	+	0.366395i
$875$	−1.71475	−	17.4101i	−0.0579690	−	0.588569i
$876$	0.0657014	+	0.398209i	0.00221984	+	0.0134542i
$877$	39.0142	−	11.8348i	1.31742	−	0.399634i	0.448142	−	0.893963i	$-0.352086\pi$
$877$	39.0142	−	11.8348i	1.31742	−	0.399634i	0.869275	+	0.494328i	$0.164586\pi$
$878$	−0.962432	−	29.4468i	−0.0324805	−	0.993783i
$879$	−0.696387	+	1.68123i	−0.0234885	+	0.0567064i
$880$	−6.36965	−	7.26629i	−0.214721	−	0.244947i
$881$	−8.26210	−	19.9465i	−0.278357	−	0.672014i	0.721433	−	0.692484i	$-0.243484\pi$
$881$	−8.26210	−	19.9465i	−0.278357	−	0.672014i	−0.999790	+	0.0204700i	$0.993484\pi$
$882$	−11.1027	+	5.02986i	−0.373847	+	0.169364i
$883$	−13.1244	−	7.01513i	−0.441671	−	0.236078i	0.235543	−	0.971864i	$-0.424313\pi$
$883$	−13.1244	−	7.01513i	−0.441671	−	0.236078i	−0.677214	+	0.735786i	$0.736813\pi$
$884$	21.7491	−	47.9878i	0.731501	−	1.61400i
$885$	−0.232598	−	0.190889i	−0.00781871	−	0.00641665i
$886$	−18.0625	+	15.8387i	−0.606821	+	0.532111i
$887$	13.2668	+	2.63892i	0.445454	+	0.0886063i	0.412720	−	0.910858i	$-0.364579\pi$
$887$	13.2668	+	2.63892i	0.445454	+	0.0886063i	0.0327337	+	0.999464i	$0.489579\pi$
$888$	0.245595	+	0.810079i	0.00824162	+	0.0271845i
$889$	−4.98630	−	25.0678i	−0.167235	−	0.840748i
$890$	−0.725100	−	5.50993i	−0.0243054	−	0.184693i
$891$	10.3645	+	19.3906i	0.347224	+	0.649611i
$892$	35.1333	+	11.9303i	1.17635	+	0.399456i
$893$	−2.08562	−	0.205416i	−0.0697927	−	0.00687398i
$894$	−0.979864	−	4.20341i	−0.0327715	−	0.140583i
$895$	−2.14213			−0.0716036
$896$	22.2844	−	5.18730i	0.744468	−	0.173295i
$897$	−3.92827			−0.131161
$898$	2.76290	+	11.8522i	0.0921990	+	0.395514i
$899$	12.1541	+	1.19707i	0.405361	+	0.0399246i
$900$	−7.80007	+	22.9703i	−0.260002	+	0.765677i
$901$	28.6329	+	53.5684i	0.953900	+	1.78462i
$902$	1.25865	+	9.56431i	0.0419085	+	0.318457i
$903$	−0.830110	−	4.17325i	−0.0276243	−	0.138877i
$904$	35.7047	+	19.0918i	1.18752	+	0.634984i
$905$	−10.1168	−	2.01235i	−0.336293	−	0.0668928i
$906$	−4.19142	+	3.67538i	−0.139251	+	0.122106i
$907$	8.60601	+	7.06277i	0.285758	+	0.234515i	0.766341	−	0.642434i	$-0.222075\pi$
$907$	8.60601	+	7.06277i	0.285758	+	0.234515i	−0.480584	+	0.876949i	$0.659575\pi$
$908$	43.4643	+	19.6989i	1.44241	+	0.653732i
$909$	18.0092	+	9.62610i	0.597326	+	0.319278i
$910$	−9.64689	+	4.37034i	−0.319791	+	0.144875i
$911$	−11.8577	−	28.6270i	−0.392863	−	0.948456i	−0.989313	−	0.145806i	$-0.953423\pi$
$911$	−11.8577	−	28.6270i	−0.392863	−	0.948456i	0.596450	−	0.802650i	$-0.296577\pi$
$912$	−0.574451	+	1.16425i	−0.0190220	+	0.0385522i
$913$	16.2869	−	39.3200i	0.539017	−	1.30130i
$914$	0.242493	+	7.41939i	0.00802096	+	0.245412i
$915$	0.604999	−	0.183525i	0.0200007	−	0.00606713i
$916$	−56.5576	+	9.33156i	−1.86872	+	0.308323i
$917$	−3.78639	−	38.4439i	−0.125038	−	1.26953i
$918$	−4.94102	+	10.0181i	−0.163078	+	0.330646i
$919$	9.69307	−	6.47670i	0.319745	−	0.213647i	−0.385331	−	0.922778i	$-0.625913\pi$
$919$	9.69307	−	6.47670i	0.319745	−	0.213647i	0.705076	+	0.709132i	$0.250913\pi$
$920$	13.5948	−	2.70193i	0.448206	−	0.0890799i
$921$	1.52206	−	2.27793i	0.0501537	−	0.0750603i
$922$	14.9746	−	55.8742i	0.493162	−	1.84012i
$923$	29.1387	+	8.83913i	0.959112	+	0.290943i
$924$	0.262788	−	1.99444i	0.00864508	−	0.0656123i
$925$	−3.97087	−	4.83852i	−0.130562	−	0.159090i
$926$	−23.6545	+	16.9487i	−0.777334	+	0.556968i
$927$	41.2396	−	41.2396i	1.35449	−	1.35449i
$928$	−31.4733	+	8.42435i	−1.03316	+	0.276543i
$929$	8.98952	+	8.98952i	0.294937	+	0.294937i	0.839027	−	0.544090i	$-0.183125\pi$
$929$	8.98952	+	8.98952i	0.294937	+	0.294937i	−0.544090	+	0.839027i	$0.683125\pi$
$930$	−0.551018	−	0.0910033i	−0.0180686	−	0.00298412i
$931$	3.72866	−	3.06003i	0.122202	−	0.100288i
$932$	−4.04494	+	7.00433i	−0.132496	+	0.229434i
$933$	−0.370705	+	1.22205i	−0.0121363	+	0.0400082i
$934$	−17.3084	−	29.9828i	−0.566349	−	0.981066i
$935$	13.5902	+	9.08071i	0.444448	+	0.296971i
$936$	32.6147	+	0.00516954i	1.06605	+	0.000168972i
$937$	−2.45828	−	3.67908i	−0.0803086	−	0.120190i	0.789141	−	0.614212i	$-0.210526\pi$
$937$	−2.45828	−	3.67908i	−0.0803086	−	0.120190i	−0.869449	+	0.494022i	$0.835526\pi$
$938$	−19.0381	+	6.46143i	−0.621615	+	0.210973i
$939$	−0.339378	+	0.0334258i	−0.0110752	+	0.00109081i
$940$	1.26983	+	2.04254i	0.0414174	+	0.0666202i
$941$	−9.03403	−	29.7812i	−0.294501	−	0.970840i	−0.971934	−	0.235255i	$-0.924407\pi$
$941$	−9.03403	−	29.7812i	−0.294501	−	0.970840i	0.677433	−	0.735585i	$-0.263093\pi$
$942$	−1.15224	−	1.07931i	−0.0375421	−	0.0351657i
$943$	−12.7842	−	5.29540i	−0.416312	−	0.172442i
$944$	−1.05409	+	6.37613i	−0.0343076	+	0.207525i
$945$	2.07446	−	0.859270i	0.0674822	−	0.0279521i
$946$	36.1212	+	13.5972i	1.17440	+	0.442084i
$947$	−13.1567	+	24.6145i	−0.427536	+	0.799863i	−0.999796	−	0.0202093i	$-0.993567\pi$
$947$	−13.1567	+	24.6145i	−0.427536	+	0.799863i	0.572260	+	0.820072i	$0.306067\pi$
$948$	−4.24478	+	3.97483i	−0.137864	+	0.129096i
$949$	−2.54541	+	3.10159i	−0.0826275	+	0.100682i
$950$	0.628370	−	9.57931i	0.0203870	−	0.310794i
$951$	0.185843	−	0.934297i	0.00602638	−	0.0302967i
$952$	−34.1349	+	18.2386i	−1.10632	+	0.591115i
$953$	19.3316	−	3.84530i	0.626213	−	0.124561i	0.128224	−	0.991745i	$-0.459072\pi$
$953$	19.3316	−	3.84530i	0.626213	−	0.124561i	0.497988	+	0.867184i	$0.334072\pi$
$954$	−22.8914	+	29.8293i	−0.741135	+	0.965760i
$955$	−1.70887	+	0.913412i	−0.0552978	+	0.0295573i
$956$	−0.358846	−	5.48380i	−0.0116059	−	0.177359i
$957$	−0.280783	+	2.85084i	−0.00907642	+	0.0921544i
$958$	28.5812	+	17.7750i	0.923417	+	0.574285i
$959$		−	28.5348i		−	0.921437i
$960$	1.46137	−	0.290203i	0.0471656	−	0.00936627i
$961$			26.5038i			0.854960i
$962$	−4.44430	+	7.14618i	−0.143290	+	0.230402i
$963$	4.77871	−	48.5191i	0.153992	−	1.56351i
$964$	−36.6203	−	32.1220i	−1.17946	−	1.03458i
$965$	−14.4125	+	7.70365i	−0.463955	+	0.247989i
$966$	2.28921	+	1.75676i	0.0736540	+	0.0565229i
$967$	−39.2273	+	7.80280i	−1.26147	+	0.250921i	−0.780131	−	0.625616i	$-0.784848\pi$
$967$	−39.2273	+	7.80280i	−1.26147	+	0.250921i	−0.481335	+	0.876537i	$0.659848\pi$
$968$	−9.94382	−	8.16332i	−0.319607	−	0.262379i
$969$	0.428421	−	2.15382i	0.0137629	−	0.0691906i
$970$	4.97287	+	0.326203i	0.159669	+	0.0104737i
$971$	3.25518	−	3.96645i	0.104464	−	0.127290i	−0.718154	−	0.695884i	$-0.755013\pi$
$971$	3.25518	−	3.96645i	0.104464	−	0.127290i	0.822618	+	0.568595i	$0.192513\pi$
$972$	−10.3889	−	0.341195i	−0.333223	−	0.0109438i
$973$	0.673408	−	1.25986i	0.0215885	−	0.0403892i
$974$	0.830699	−	2.20676i	0.0266173	−	0.0707092i
$975$	2.88468	−	1.19488i	0.0923838	−	0.0382666i
$976$	−9.90870	−	9.28444i	−0.317170	−	0.297188i
$977$	−6.71249	−	2.78041i	−0.214752	−	0.0889531i	0.272714	−	0.962095i	$-0.412079\pi$
$977$	−6.71249	−	2.78041i	−0.214752	−	0.0889531i	−0.487466	+	0.873142i	$0.662079\pi$
$978$	1.38358	−	1.47708i	0.0442420	−	0.0472318i
$979$	3.04642	+	10.0427i	0.0973640	+	0.320966i
$980$	−5.39087	−	1.25758i	−0.172205	−	0.0401718i
$981$	19.6453	−	1.93489i	0.627226	−	0.0617763i
$982$	1.20175	+	3.54084i	0.0383493	+	0.112993i
$983$	1.61034	+	2.41004i	0.0513619	+	0.0768685i	0.856262	−	0.516542i	$-0.172781\pi$
$983$	1.61034	+	2.41004i	0.0513619	+	0.0768685i	−0.804900	+	0.593411i	$0.797781\pi$
$984$	−1.37411	−	0.569430i	−0.0438050	−	0.0181528i
$985$	−7.09261	−	4.73913i	−0.225989	−	0.151001i
$986$	47.7294	−	27.5532i	1.52001	−	0.877474i
$987$	−0.145347	+	0.479146i	−0.00462645	+	0.0152514i
$988$	−12.4673	+	3.33919i	−0.396638	+	0.106234i
$989$	−42.7958	+	35.1216i	−1.36083	+	1.11680i
$990$	−1.64871	+	9.98281i	−0.0523995	+	0.317275i
$991$	23.0005	+	23.0005i	0.730636	+	0.730636i	0.970746	−	0.240110i	$-0.0771835\pi$
$991$	23.0005	+	23.0005i	0.730636	+	0.730636i	−0.240110	+	0.970746i	$0.577184\pi$
$992$	4.22227	+	11.2273i	0.134057	+	0.356467i
$993$	3.07294	−	3.07294i	0.0975168	−	0.0975168i
$994$	−13.0277	−	18.1821i	−0.413213	−	0.576702i
$995$	−13.1372	−	16.0077i	−0.416478	−	0.507480i
$996$	3.99427	+	5.20658i	0.126563	+	0.164977i
$997$	47.9236	+	14.5375i	1.51776	+	0.460406i	0.935716	−	0.352755i	$-0.114755\pi$
$997$	47.9236	+	14.5375i	1.51776	+	0.460406i	0.582039	+	0.813161i	$0.302255\pi$
$998$	39.1243	+	10.4855i	1.23846	+	0.331914i
$999$	0.991249	−	1.48351i	0.0313617	−	0.0469361i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	128.2.k.a.93.15	✓	240
4.3	odd	2		512.2.k.a.465.9		240
128.11	odd	32		512.2.k.a.305.9		240
128.117	even	32	inner	128.2.k.a.117.15	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
128.2.k.a.93.15	✓	240	1.1	even	1	trivial
128.2.k.a.117.15	yes	240	128.117	even	32	inner
512.2.k.a.305.9		240	128.11	odd	32
512.2.k.a.465.9		240	4.3	odd	2

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:	\( N \)	\(=\)	\( 128 = 2^{7} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	128.k (of order \(32\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(1.37729 - 0.321062i) q^{2} +(-0.194873 - 0.0191934i) q^{3} +(1.79384 - 0.884388i) q^{4} +(-0.448340 - 0.838784i) q^{5} +(-0.274559 + 0.0361316i) q^{6} +(0.394539 + 1.98348i) q^{7} +(2.18669 - 1.79399i) q^{8} +(-2.90475 - 0.577790i) q^{9} +(-0.886794 - 1.01130i) q^{10} +(1.96341 + 1.61133i) q^{11} +(-0.366546 + 0.137914i) q^{12} +(-3.43371 - 1.83536i) q^{13} +(1.18021 + 2.60515i) q^{14} +(0.0712704 + 0.172062i) q^{15} +(2.43572 - 3.17290i) q^{16} +(-2.58925 + 6.25100i) q^{17} +(-4.18618 + 0.136820i) q^{18} +(1.58612 - 0.481145i) q^{19} +(-1.54606 - 1.10814i) q^{20} +(-0.0388155 - 0.394100i) q^{21} +(3.22152 + 1.58889i) q^{22} +(-4.28415 + 2.86258i) q^{23} +(-0.460560 + 0.307631i) q^{24} +(2.27530 - 3.40523i) q^{25} +(-5.31847 - 1.42538i) q^{26} +(1.11712 + 0.338875i) q^{27} +(2.46190 + 3.20912i) q^{28} +(-3.65386 - 4.45224i) q^{29} +(0.153402 + 0.214096i) q^{30} +(-1.49937 + 1.49937i) q^{31} +(2.33598 - 5.15201i) q^{32} +(-0.351690 - 0.351690i) q^{33} +(-1.55918 + 9.44072i) q^{34} +(1.48682 - 1.22021i) q^{35} +(-5.72164 + 1.53246i) q^{36} +(0.443662 - 1.46256i) q^{37} +(2.03007 - 1.17192i) q^{38} +(0.633913 + 0.423567i) q^{39} +(-2.48515 - 1.02984i) q^{40} +(1.49204 + 2.23299i) q^{41} +(-0.179990 - 0.530327i) q^{42} +(10.6930 - 1.05317i) q^{43} +(4.94709 + 1.15405i) q^{44} +(0.817672 + 2.69550i) q^{45} +(-4.98144 + 5.31807i) q^{46} +(-1.16814 - 0.483860i) q^{47} +(-0.535555 + 0.571564i) q^{48} +(2.68863 - 1.11367i) q^{49} +(2.04045 - 5.42049i) q^{50} +(0.624553 - 1.16846i) q^{51} +(-7.78270 - 0.255602i) q^{52} +(5.69513 - 6.93953i) q^{53} +(1.64740 + 0.108064i) q^{54} +(0.471284 - 2.36930i) q^{55} +(4.42107 + 3.62945i) q^{56} +(-0.318328 + 0.0633194i) q^{57} +(-6.46186 - 4.95890i) q^{58} +(-1.42489 + 0.761620i) q^{59} +(0.280017 + 0.245621i) q^{60} +(0.332738 - 3.37835i) q^{61} +(-1.58368 + 2.54646i) q^{62} -5.98947i q^{63} +(1.56321 - 7.84579i) q^{64} +3.70301i q^{65} +(-0.597293 - 0.371464i) q^{66} +(-0.689017 + 6.99571i) q^{67} +(0.883612 + 13.5032i) q^{68} +(0.889810 - 0.475613i) q^{69} +(1.65602 - 2.15793i) q^{70} +(-7.67052 + 1.52576i) q^{71} +(-7.38833 + 3.94764i) q^{72} +(0.201048 - 1.01074i) q^{73} +(0.141479 - 2.15680i) q^{74} +(-0.508753 + 0.619918i) q^{75} +(2.41973 - 2.26584i) q^{76} +(-2.42140 + 4.53012i) q^{77} +(1.00907 + 0.379848i) q^{78} +(13.7185 - 5.68239i) q^{79} +(-3.75341 - 0.620505i) q^{80} +(7.99745 + 3.31265i) q^{81} +(2.77189 + 2.59644i) q^{82} +(-4.86403 - 16.0345i) q^{83} +(-0.418166 - 0.672624i) q^{84} +(6.40410 - 0.630749i) q^{85} +(14.3892 - 4.88364i) q^{86} +(0.626587 + 0.937753i) q^{87} +(7.18408 + 0.00113870i) q^{88} +(3.43547 + 2.29551i) q^{89} +(1.99159 + 3.44996i) q^{90} +(2.28566 - 7.53482i) q^{91} +(-5.15345 + 8.92386i) q^{92} +(0.320966 - 0.263410i) q^{93} +(-1.76421 - 0.291369i) q^{94} +(-1.11470 - 1.11470i) q^{95} +(-0.554106 + 0.959154i) q^{96} +(-2.61992 + 2.61992i) q^{97} +(3.34545 - 2.39705i) q^{98} +(-4.77221 - 5.81495i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 16 q^{2} - 16 q^{3} - 16 q^{4} - 16 q^{5} - 16 q^{6} - 16 q^{7} - 16 q^{8} - 16 q^{9} - 16 q^{10} - 16 q^{11} - 16 q^{12} - 16 q^{13} - 16 q^{14} - 16 q^{15} - 16 q^{16} - 16 q^{17} - 16 q^{18}+ \cdots - 16 q^{99}+O(q^{100}) \) 240 * q - 16 * q^2 - 16 * q^3 - 16 * q^4 - 16 * q^5 - 16 * q^6 - 16 * q^7 - 16 * q^8 - 16 * q^9 - 16 * q^10 - 16 * q^11 - 16 * q^12 - 16 * q^13 - 16 * q^14 - 16 * q^15 - 16 * q^16 - 16 * q^17 - 16 * q^18 - 16 * q^19 - 16 * q^20 - 16 * q^21 - 16 * q^22 - 16 * q^23 - 16 * q^24 - 16 * q^25 - 16 * q^26 - 16 * q^27 - 16 * q^28 - 16 * q^29 - 16 * q^30 - 16 * q^31 - 16 * q^32 - 16 * q^33 - 16 * q^34 - 16 * q^35 - 16 * q^36 - 16 * q^37 - 16 * q^38 - 16 * q^39 - 16 * q^40 - 16 * q^41 - 16 * q^42 - 16 * q^43 - 16 * q^44 - 16 * q^45 - 16 * q^46 - 16 * q^47 - 16 * q^48 - 16 * q^49 + 32 * q^50 - 16 * q^51 + 80 * q^52 - 16 * q^53 + 112 * q^54 - 16 * q^55 + 96 * q^56 - 16 * q^57 + 128 * q^58 - 16 * q^59 + 176 * q^60 - 16 * q^61 + 80 * q^62 + 176 * q^64 + 176 * q^66 - 16 * q^67 + 80 * q^68 - 16 * q^69 + 176 * q^70 - 16 * q^71 + 128 * q^72 - 16 * q^73 + 96 * q^74 - 16 * q^75 + 112 * q^76 - 16 * q^77 + 80 * q^78 - 16 * q^79 + 32 * q^80 - 16 * q^81 - 16 * q^82 - 16 * q^83 - 16 * q^84 - 16 * q^85 - 16 * q^86 - 16 * q^87 - 16 * q^88 - 16 * q^89 - 16 * q^90 - 16 * q^91 - 16 * q^92 - 16 * q^93 - 16 * q^94 - 16 * q^95 - 16 * q^96 - 16 * q^97 - 16 * q^98 - 16 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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