LMFDB - Embedded newform 256.2.m.a.101.23

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [256,2,Mod(5,256)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(256, base_ring=CyclotomicField(64))

chi = DirichletCharacter(H, H._module([0, 1]))

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

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

chi := DirichletCharacter("256.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 256 = 2^{8} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	256.m (of order $64$, degree $32$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.04417029174$
Analytic rank:	$0$
Dimension:	$992$
Relative dimension:	$31$ over $\Q(\zeta_{64})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{64}]$

Embedding invariants

Embedding label			101.23
Character	$\chi$	$=$	256.101
Dual form			256.2.m.a.109.23

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.782606 + 1.17793i) q^{2} +(0.703766 - 0.176284i) q^{3} +(-0.775056 + 1.84372i) q^{4} +(1.02351 + 0.484084i) q^{5} +(0.758422 + 0.691029i) q^{6} +(0.442787 + 1.45967i) q^{7} +(-2.77834 + 0.529938i) q^{8} +(-2.18155 + 1.16606i) q^{9} +(0.230786 + 1.58447i) q^{10} +(1.21742 - 0.180588i) q^{11} +(-0.220440 + 1.43417i) q^{12} +(1.16741 - 3.26269i) q^{13} +(-1.37287 + 1.66392i) q^{14} +(0.805647 + 0.160253i) q^{15} +(-2.79858 - 2.85797i) q^{16} +(4.99019 - 0.992610i) q^{17} +(-3.08084 - 1.65716i) q^{18} +(2.64376 + 2.39616i) q^{19} +(-1.68579 + 1.51187i) q^{20} +(0.568935 + 0.949211i) q^{21} +(1.16548 + 1.29272i) q^{22} +(-3.37113 + 0.332027i) q^{23} +(-1.86188 + 0.862729i) q^{24} +(-2.35873 - 2.87412i) q^{25} +(4.75685 - 1.17827i) q^{26} +(-2.94244 + 2.66687i) q^{27} +(-3.03440 - 0.314955i) q^{28} +(-1.72897 - 2.33124i) q^{29} +(0.441737 + 1.07441i) q^{30} +(-0.335706 - 0.139054i) q^{31} +(1.17631 - 5.53320i) q^{32} +(0.824947 - 0.341704i) q^{33} +(5.07458 + 5.10129i) q^{34} +(-0.253407 + 1.70833i) q^{35} +(-0.459065 - 4.92593i) q^{36} +(0.167221 - 3.40385i) q^{37} +(-0.753500 + 4.98942i) q^{38} +(0.246422 - 2.50196i) q^{39} +(-3.10019 - 0.802552i) q^{40} +(6.53831 - 7.96695i) q^{41} +(-0.672856 + 1.41303i) q^{42} +(0.966750 - 3.85948i) q^{43} +(-0.610619 + 2.38455i) q^{44} +(-2.79731 + 0.137423i) q^{45} +(-3.02937 - 3.71112i) q^{46} +(-4.45634 - 2.97763i) q^{47} +(-2.47336 - 1.51799i) q^{48} +(3.88571 - 2.59635i) q^{49} +(1.53957 - 5.02774i) q^{50} +(3.33694 - 1.57826i) q^{51} +(5.11066 + 4.68114i) q^{52} +(-3.06972 + 4.13904i) q^{53} +(-5.44418 - 1.37889i) q^{54} +(1.33346 + 0.404502i) q^{55} +(-2.00375 - 3.82081i) q^{56} +(2.28299 + 1.22028i) q^{57} +(1.39295 - 3.86105i) q^{58} +(3.24406 + 9.06653i) q^{59} +(-0.919883 + 1.36118i) q^{60} +(-2.64579 + 4.41424i) q^{61} +(-0.0989292 - 0.504265i) q^{62} +(-2.66803 - 2.66803i) q^{63} +(7.43833 - 2.94469i) q^{64} +(2.77427 - 2.77427i) q^{65} +(1.04811 + 0.704313i) q^{66} +(4.77340 + 2.86107i) q^{67} +(-2.03759 + 9.96982i) q^{68} +(-2.31395 + 0.827946i) q^{69} +(-2.21062 + 1.03845i) q^{70} +(-6.09710 + 11.4069i) q^{71} +(5.44315 - 4.39581i) q^{72} +(1.95307 - 6.43842i) q^{73} +(4.14038 - 2.46690i) q^{74} +(-2.16666 - 1.60690i) q^{75} +(-6.46690 + 3.01718i) q^{76} +(0.802658 + 1.69708i) q^{77} +(3.14000 - 1.66778i) q^{78} +(-4.98075 - 7.45421i) q^{79} +(-1.48087 - 4.27990i) q^{80} +(2.52218 - 3.77470i) q^{81} +(14.5015 + 1.46671i) q^{82} +(0.118661 + 2.41539i) q^{83} +(-2.19103 + 0.313263i) q^{84} +(5.58801 + 1.39972i) q^{85} +(5.30280 - 1.88169i) q^{86} +(-1.62775 - 1.33586i) q^{87} +(-3.28672 + 1.14689i) q^{88} +(-12.9514 - 1.27560i) q^{89} +(-2.35107 - 3.18750i) q^{90} +(5.27937 + 0.259359i) q^{91} +(2.00065 - 6.47274i) q^{92} +(-0.260772 - 0.0386818i) q^{93} +(0.0198947 - 7.57959i) q^{94} +(1.54597 + 3.73229i) q^{95} +(-0.147566 - 4.10144i) q^{96} +(4.14372 - 10.0038i) q^{97} +(6.09930 + 2.54519i) q^{98} +(-2.44530 + 1.81356i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9} - 32 q^{10} - 32 q^{11} - 32 q^{12} - 32 q^{13} - 32 q^{14} - 32 q^{15} - 32 q^{16} - 32 q^{17} - 32 q^{18}+ \cdots - 32 q^{99}+O(q^{100}) $ 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9 - 32 * q^10 - 32 * q^11 - 32 * q^12 - 32 * q^13 - 32 * q^14 - 32 * q^15 - 32 * q^16 - 32 * q^17 - 32 * q^18 - 32 * q^19 - 32 * q^20 - 32 * q^21 - 32 * q^22 - 32 * q^23 - 32 * q^24 - 32 * q^25 - 32 * q^26 - 32 * q^27 - 32 * q^28 - 32 * q^29 - 32 * q^30 - 32 * q^31 - 32 * q^32 - 32 * q^33 - 32 * q^34 - 32 * q^35 - 32 * q^36 - 32 * q^37 - 32 * q^38 - 32 * q^39 - 32 * q^40 - 32 * q^41 - 32 * q^42 - 32 * q^43 - 32 * q^44 - 32 * q^45 - 32 * q^46 - 32 * q^47 - 32 * q^48 - 32 * q^49 - 32 * q^50 - 32 * q^51 - 32 * q^52 - 32 * q^53 - 32 * q^54 - 32 * q^55 - 32 * q^56 - 32 * q^57 - 32 * q^58 - 32 * q^59 - 32 * q^60 - 32 * q^61 - 32 * q^62 - 32 * q^63 - 32 * q^64 - 32 * q^65 - 32 * q^66 - 32 * q^67 - 32 * q^68 - 32 * q^69 - 32 * q^70 - 32 * q^71 - 32 * q^72 - 32 * q^73 - 32 * q^74 - 32 * q^75 - 32 * q^76 - 32 * q^77 - 32 * q^78 - 32 * q^79 - 32 * q^80 - 32 * q^81 - 32 * q^82 - 32 * q^83 - 32 * q^84 - 32 * q^85 - 32 * q^86 - 32 * q^87 - 32 * q^88 - 32 * q^89 - 32 * q^90 - 32 * q^91 - 32 * q^92 - 32 * q^93 - 32 * q^94 - 32 * q^95 - 32 * q^96 - 32 * q^97 - 32 * q^98 - 32 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/256\mathbb{Z}\right)^\times$.

$n$	$5$	$255$
$\chi(n)$	$e\left(\frac{9}{64}\right)$	$1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.782606	+	1.17793i	0.553386	+	0.832925i
$2$	0.782606	+	1.17793i	0.553386	+	0.832925i
$3$	0.703766	−	0.176284i	0.406319	−	0.101778i	−0.0344317	−	0.999407i	$-0.510962\pi$
$3$	0.703766	−	0.176284i	0.406319	−	0.101778i	0.440751	+	0.897629i	$0.354712\pi$
$4$	−0.775056	+	1.84372i	−0.387528	+	0.921858i
$5$	1.02351	+	0.484084i	0.457727	+	0.216489i	0.642490	−	0.766294i	$-0.277902\pi$
$5$	1.02351	+	0.484084i	0.457727	+	0.216489i	−0.184762	+	0.982783i	$0.559152\pi$
$6$	0.758422	+	0.691029i	0.309625	+	0.282111i
$7$	0.442787	+	1.45967i	0.167358	+	0.551704i	0.999998	−	0.00211032i	$-0.000671737\pi$
$7$	0.442787	+	1.45967i	0.167358	+	0.551704i	−0.832640	+	0.553814i	$0.813172\pi$
$8$	−2.77834	+	0.529938i	−0.982291	+	0.187361i
$9$	−2.18155	+	1.16606i	−0.727185	+	0.388688i
$10$	0.230786	+	1.58447i	0.0729808	+	0.501054i
$11$	1.21742	−	0.180588i	0.367067	−	0.0544493i	0.0393509	−	0.999225i	$-0.487471\pi$
$11$	1.21742	−	0.180588i	0.367067	−	0.0544493i	0.327716	+	0.944776i	$0.393721\pi$
$12$	−0.220440	+	1.43417i	−0.0636356	+	0.414010i
$13$	1.16741	−	3.26269i	0.323781	−	0.904907i	−0.663816	−	0.747896i	$-0.731064\pi$
$13$	1.16741	−	3.26269i	0.323781	−	0.904907i	0.987597	−	0.157011i	$-0.0501858\pi$
$14$	−1.37287	+	1.66392i	−0.366915	+	0.444702i
$15$	0.805647	+	0.160253i	0.208017	+	0.0413772i
$16$	−2.79858	−	2.85797i	−0.699644	−	0.714492i
$17$	4.99019	−	0.992610i	1.21030	−	0.240743i	0.451621	−	0.892210i	$-0.350846\pi$
$17$	4.99019	−	0.992610i	1.21030	−	0.240743i	0.758677	+	0.651467i	$0.225846\pi$
$18$	−3.08084	−	1.65716i	−0.726162	−	0.390596i
$19$	2.64376	+	2.39616i	0.606519	+	0.549717i	0.915995	−	0.401191i	$-0.131403\pi$
$19$	2.64376	+	2.39616i	0.606519	+	0.549717i	−0.309475	+	0.950907i	$0.600153\pi$
$20$	−1.68579	+	1.51187i	−0.376954	+	0.338064i
$21$	0.568935	+	0.949211i	0.124152	+	0.207135i
$22$	1.16548	+	1.29272i	0.248482	+	0.275608i
$23$	−3.37113	+	0.332027i	−0.702929	+	0.0692324i	−0.443165	−	0.896440i	$-0.646145\pi$
$23$	−3.37113	+	0.332027i	−0.702929	+	0.0692324i	−0.259763	+	0.965672i	$0.583645\pi$
$24$	−1.86188	+	0.862729i	−0.380055	+	0.176104i
$25$	−2.35873	−	2.87412i	−0.471746	−	0.574825i
$26$	4.75685	−	1.17827i	0.932895	−	0.231078i
$27$	−2.94244	+	2.66687i	−0.566273	+	0.513240i
$28$	−3.03440	−	0.314955i	−0.573448	−	0.0595209i
$29$	−1.72897	−	2.33124i	−0.321061	−	0.432901i	0.612963	−	0.790112i	$-0.289978\pi$
$29$	−1.72897	−	2.33124i	−0.321061	−	0.432901i	−0.934024	+	0.357211i	$0.883728\pi$
$30$	0.441737	+	1.07441i	0.0806497	+	0.196160i
$31$	−0.335706	−	0.139054i	−0.0602947	−	0.0249749i	0.352332	−	0.935875i	$-0.385389\pi$
$31$	−0.335706	−	0.139054i	−0.0602947	−	0.0249749i	−0.412627	+	0.910900i	$0.635389\pi$
$32$	1.17631	−	5.53320i	0.207945	−	0.978141i
$33$	0.824947	−	0.341704i	0.143605	−	0.0594830i
$34$	5.07458	+	5.10129i	0.870283	+	0.874864i
$35$	−0.253407	+	1.70833i	−0.0428337	+	0.288761i
$36$	−0.459065	−	4.92593i	−0.0765109	−	0.820988i
$37$	0.167221	−	3.40385i	0.0274909	−	0.559590i	−0.945060	−	0.326898i	$-0.893997\pi$
$37$	0.167221	−	3.40385i	0.0274909	−	0.559590i	0.972551	−	0.232692i	$-0.0747534\pi$
$38$	−0.753500	+	4.98942i	−0.122234	+	0.809391i
$39$	0.246422	−	2.50196i	0.0394591	−	0.400635i
$40$	−3.10019	−	0.802552i	−0.490183	−	0.126895i
$41$	6.53831	−	7.96695i	1.02111	−	1.24423i	0.0517322	−	0.998661i	$-0.483526\pi$
$41$	6.53831	−	7.96695i	1.02111	−	1.24423i	0.969380	−	0.245567i	$-0.0789742\pi$
$42$	−0.672856	+	1.41303i	−0.103824	+	0.218035i
$43$	0.966750	−	3.85948i	0.147428	−	0.588566i	−0.850601	−	0.525812i	$-0.823762\pi$
$43$	0.966750	−	3.85948i	0.147428	−	0.588566i	0.998029	−	0.0627539i	$-0.0199883\pi$
$44$	−0.610619	+	2.38455i	−0.0920543	+	0.359484i
$45$	−2.79731	+	0.137423i	−0.416999	+	0.0204858i
$46$	−3.02937	−	3.71112i	−0.446656	−	0.547174i
$47$	−4.45634	−	2.97763i	−0.650024	−	0.434332i	0.186356	−	0.982482i	$-0.440332\pi$
$47$	−4.45634	−	2.97763i	−0.650024	−	0.434332i	−0.836380	+	0.548150i	$0.815332\pi$
$48$	−2.47336	−	1.51799i	−0.356998	−	0.219104i
$49$	3.88571	−	2.59635i	0.555101	−	0.370907i
$50$	1.53957	−	5.02774i	0.217728	−	0.711029i
$51$	3.33694	−	1.57826i	0.467265	−	0.221000i
$52$	5.11066	+	4.68114i	0.708721	+	0.649157i
$53$	−3.06972	+	4.13904i	−0.421658	+	0.568540i	−0.962050	−	0.272873i	$-0.912026\pi$
$53$	−3.06972	+	4.13904i	−0.421658	+	0.568540i	0.540392	+	0.841414i	$0.318276\pi$
$54$	−5.44418	−	1.37889i	−0.740858	−	0.187643i
$55$	1.33346	+	0.404502i	0.179804	+	0.0545430i
$56$	−2.00375	−	3.82081i	−0.267762	−	0.510578i
$57$	2.28299	+	1.22028i	0.302389	+	0.161631i
$58$	1.39295	−	3.86105i	0.182903	−	0.506981i
$59$	3.24406	+	9.06653i	0.422340	+	1.18036i	0.944786	+	0.327689i	$0.106270\pi$
$59$	3.24406	+	9.06653i	0.422340	+	1.18036i	−0.522446	+	0.852673i	$0.674980\pi$
$60$	−0.919883	+	1.36118i	−0.118756	+	0.175727i
$61$	−2.64579	+	4.41424i	−0.338759	+	0.565186i	−0.979219	−	0.202806i	$-0.934994\pi$
$61$	−2.64579	+	4.41424i	−0.338759	+	0.565186i	0.640460	+	0.767992i	$0.278744\pi$
$62$	−0.0989292	−	0.504265i	−0.0125640	−	0.0640417i
$63$	−2.66803	−	2.66803i	−0.336141	−	0.336141i
$64$	7.43833	−	2.94469i	0.929791	−	0.368087i
$65$	2.77427	−	2.77427i	0.344106	−	0.344106i
$66$	1.04811	+	0.704313i	0.129014	+	0.0866949i
$67$	4.77340	+	2.86107i	0.583163	+	0.349535i	0.775067	−	0.631879i	$-0.217716\pi$
$67$	4.77340	+	2.86107i	0.583163	+	0.349535i	−0.191904	+	0.981414i	$0.561466\pi$
$68$	−2.03759	+	9.96982i	−0.247093	+	1.20902i
$69$	−2.31395	+	0.827946i	−0.278567	+	0.0996729i
$70$	−2.21062	+	1.03845i	−0.264220	+	0.124119i
$71$	−6.09710	+	11.4069i	−0.723593	+	1.35375i	0.203560	+	0.979063i	$0.434749\pi$
$71$	−6.09710	+	11.4069i	−0.723593	+	1.35375i	−0.927152	+	0.374684i	$0.877751\pi$
$72$	5.44315	−	4.39581i	0.641482	−	0.518051i
$73$	1.95307	−	6.43842i	0.228590	−	0.753560i	−0.765348	−	0.643617i	$-0.777433\pi$
$73$	1.95307	−	6.43842i	0.228590	−	0.753560i	0.993938	−	0.109943i	$-0.0350669\pi$
$74$	4.14038	−	2.46690i	0.481309	−	0.286771i
$75$	−2.16666	−	1.60690i	−0.250184	−	0.185549i
$76$	−6.46690	+	3.01718i	−0.741804	+	0.346094i
$77$	0.802658	+	1.69708i	0.0914713	+	0.193400i
$78$	3.14000	−	1.66778i	0.355535	−	0.188839i
$79$	−4.98075	−	7.45421i	−0.560378	−	0.838664i	0.437796	−	0.899074i	$-0.355759\pi$
$79$	−4.98075	−	7.45421i	−0.560378	−	0.838664i	−0.998174	+	0.0604099i	$0.980759\pi$
$80$	−1.48087	−	4.27990i	−0.165567	−	0.478507i
$81$	2.52218	−	3.77470i	0.280242	−	0.419411i
$82$	14.5015	+	1.46671i	1.60142	+	0.161971i
$83$	0.118661	+	2.41539i	0.0130247	+	0.265124i	0.996472	+	0.0839284i	$0.0267467\pi$
$83$	0.118661	+	2.41539i	0.0130247	+	0.265124i	−0.983447	+	0.181196i	$0.942003\pi$
$84$	−2.19103	+	0.313263i	−0.239061	+	0.0341798i
$85$	5.58801	+	1.39972i	0.606105	+	0.151821i
$86$	5.30280	−	1.88169i	0.571816	−	0.202907i
$87$	−1.62775	−	1.33586i	−0.174513	−	0.143219i
$88$	−3.28672	+	1.14689i	−0.350365	+	0.122259i
$89$	−12.9514	−	1.27560i	−1.37284	−	0.135213i	−0.615452	−	0.788175i	$-0.711026\pi$
$89$	−12.9514	−	1.27560i	−1.37284	−	0.135213i	−0.757391	+	0.652961i	$0.773526\pi$
$90$	−2.35107	−	3.18750i	−0.247824	−	0.335992i
$91$	5.27937	+	0.259359i	0.553428	+	0.0271882i
$92$	2.00065	−	6.47274i	0.208582	−	0.674830i
$93$	−0.260772	−	0.0386818i	−0.0270408	−	0.00401112i
$94$	0.0198947	−	7.57959i	0.00205198	−	0.781775i
$95$	1.54597	+	3.73229i	0.158613	+	0.382925i
$96$	−0.147566	−	4.10144i	−0.0150609	−	0.418602i
$97$	4.14372	−	10.0038i	0.420731	−	1.01573i	−0.561402	−	0.827543i	$-0.689738\pi$
$97$	4.14372	−	10.0038i	0.420731	−	1.01573i	0.982133	−	0.188190i	$-0.0602622\pi$
$98$	6.09930	+	2.54519i	0.616122	+	0.257103i
$99$	−2.44530	+	1.81356i	−0.245762	+	0.182269i
$100$	7.12722	−	2.12122i	0.712722	−	0.212122i
$101$	1.76654	+	1.94907i	0.175777	+	0.193940i	0.822467	−	0.568813i	$-0.192597\pi$
$101$	1.76654	+	1.94907i	0.175777	+	0.193940i	−0.646690	+	0.762753i	$0.723847\pi$
$102$	4.47059	+	2.69554i	0.442655	+	0.266899i
$103$	−10.4149	+	8.54730i	−1.02621	+	0.842191i	−0.987589	−	0.157063i	$-0.949797\pi$
$103$	−10.4149	+	8.54730i	−1.02621	+	0.842191i	−0.0386238	+	0.999254i	$0.512297\pi$
$104$	−1.51443	+	9.68351i	−0.148502	+	0.949546i
$105$	0.122813	+	1.24694i	0.0119853	+	0.121689i
$106$	−7.27789	−	0.376691i	−0.706891	−	0.0365875i
$107$	−10.8296	+	6.49098i	−1.04693	+	0.627507i	−0.930726	−	0.365718i	$-0.880823\pi$
$107$	−10.8296	+	6.49098i	−1.04693	+	0.627507i	−0.116207	+	0.993225i	$0.537073\pi$
$108$	−2.63640	−	7.49201i	−0.253688	−	0.720919i
$109$	−2.40817	+	2.65700i	−0.230661	+	0.254495i	−0.845273	−	0.534334i	$-0.820562\pi$
$109$	−2.40817	+	2.65700i	−0.230661	+	0.254495i	0.614613	+	0.788829i	$0.289312\pi$
$110$	0.567101	+	1.88730i	0.0540709	+	0.179947i
$111$	−0.482361	−	2.42499i	−0.0457837	−	0.230170i
$112$	2.93252	−	5.35047i	0.277097	−	0.505572i
$113$	−1.81291	+	9.11413i	−0.170544	+	0.857385i	0.796863	+	0.604160i	$0.206491\pi$
$113$	−1.81291	+	9.11413i	−0.170544	+	0.857385i	−0.967407	+	0.253225i	$0.918509\pi$
$114$	0.349268	+	3.64421i	0.0327120	+	0.341312i
$115$	−3.61111	−	1.29208i	−0.336738	−	0.120487i
$116$	5.63819	−	1.38088i	0.523493	−	0.128211i
$117$	1.25774	+	8.47900i	0.116278	+	0.783884i
$118$	−8.14095	+	10.9168i	−0.749436	+	1.00497i
$119$	3.65847	+	6.84452i	0.335372	+	0.627436i
$120$	−2.32329	−	0.0182946i	−0.212086	−	0.00167006i
$121$	−9.07683	+	2.75343i	−0.825167	+	0.250312i
$122$	−7.27030	+	0.338040i	−0.658222	+	0.0306047i
$123$	3.19699	−	6.75947i	0.288263	−	0.609480i
$124$	0.516568	−	0.511173i	0.0463892	−	0.0459047i
$125$	−2.39840	−	9.57493i	−0.214519	−	0.856408i
$126$	1.05475	−	5.23079i	0.0939645	−	0.465996i
$127$		−	7.71676i		−	0.684751i	−0.939563	−	0.342376i	$-0.888768\pi$
$127$		−	7.71676i		−	0.684751i	0.939563	−	0.342376i	$-0.111232\pi$
$128$	9.28994	+	6.45733i	0.821122	+	0.570752i
$129$		−	2.88659i		−	0.254151i
$130$	5.43906	+	1.09675i	0.477037	+	0.0961910i
$131$	4.68973	+	18.7225i	0.409744	+	1.63579i	0.726417	+	0.687254i	$0.241184\pi$
$131$	4.68973	+	18.7225i	0.409744	+	1.63579i	−0.316674	+	0.948535i	$0.602566\pi$
$132$	−0.00937473	+	1.78581i	−0.000815965	+	0.155435i
$133$	−2.32699	+	4.92000i	−0.201775	+	0.426618i
$134$	0.365545	+	7.86183i	0.0315782	+	0.679159i
$135$	−4.30261	+	1.30518i	−0.370310	+	0.112332i
$136$	−13.3384	+	5.40230i	−1.14376	+	0.463243i
$137$	7.06488	+	13.2175i	0.603594	+	1.12924i	0.979283	+	0.202499i	$0.0649062\pi$
$137$	7.06488	+	13.2175i	0.603594	+	1.12924i	−0.375689	+	0.926746i	$0.622594\pi$
$138$	−2.78618	−	2.07773i	−0.237175	−	0.176868i
$139$	−0.299769	−	2.02088i	−0.0254261	−	0.171409i	0.972744	−	0.231883i	$-0.0744887\pi$
$139$	−0.299769	−	2.02088i	−0.0254261	−	0.171409i	−0.998170	+	0.0604743i	$0.980739\pi$
$140$	−2.95328	−	1.79127i	−0.249597	−	0.151390i
$141$	−3.66113	−	1.30997i	−0.308323	−	0.110320i
$142$	−18.2082	+	1.74510i	−1.52800	+	0.146446i
$143$	0.832029	−	4.18289i	0.0695778	−	0.349791i
$144$	9.43782	+	2.97149i	0.786485	+	0.247624i
$145$	−0.641097	−	3.22301i	−0.0532402	−	0.267657i
$146$	9.11252	−	2.73815i	0.754157	−	0.226611i
$147$	2.27693	−	2.51221i	0.187798	−	0.207203i
$148$	6.14613	+	2.94648i	0.505209	+	0.242199i
$149$	−14.6311	+	8.76955i	−1.19863	+	0.718430i	−0.967100	−	0.254398i	$-0.918123\pi$
$149$	−14.6311	+	8.76955i	−1.19863	+	0.718430i	−0.231528	+	0.972828i	$0.574373\pi$
$150$	0.197186	−	3.80975i	0.0161002	−	0.311065i
$151$	−1.61288	−	16.3759i	−0.131255	−	1.33265i	−0.804818	−	0.593522i	$-0.797737\pi$
$151$	−1.61288	−	16.3759i	−0.131255	−	1.33265i	0.673563	−	0.739130i	$-0.264763\pi$
$152$	−8.61507	−	5.25632i	−0.698774	−	0.426344i
$153$	−9.72892	+	7.98431i	−0.786536	+	0.645494i
$154$	−1.37088	+	2.27362i	−0.110469	+	0.183214i
$155$	−0.276285	−	0.304833i	−0.0221917	−	0.0244848i
$156$	4.42192	+	2.39349i	0.354037	+	0.191633i
$157$	−8.28094	+	6.14157i	−0.660891	+	0.490150i	−0.873397	−	0.487010i	$-0.838088\pi$
$157$	−8.28094	+	6.14157i	−0.660891	+	0.490150i	0.212505	+	0.977160i	$0.431838\pi$
$158$	4.88261	−	11.7007i	0.388439	−	0.930858i
$159$	−1.43072	+	3.45406i	−0.113463	+	0.273924i
$160$	3.88250	−	5.09385i	0.306939	−	0.402704i
$161$	−1.97734	−	4.77372i	−0.155836	−	0.376222i
$162$	6.42022	+	0.0168516i	0.504420	+	0.00132399i
$163$	13.2541	+	1.96606i	1.03814	+	0.153993i	0.643975	−	0.765047i	$-0.277284\pi$
$163$	13.2541	+	1.96606i	1.03814	+	0.153993i	0.394164	+	0.919040i	$0.371034\pi$
$164$	9.62123	+	18.2296i	0.751292	+	1.42349i
$165$	1.00975	+	0.0496060i	0.0786092	+	0.00386182i
$166$	−2.75231	+	2.03008i	−0.213621	+	0.157564i
$167$	11.4060	+	1.12339i	0.882621	+	0.0869306i	0.529163	−	0.848520i	$-0.322506\pi$
$167$	11.4060	+	1.12339i	0.882621	+	0.0869306i	0.353458	+	0.935451i	$0.385006\pi$
$168$	−2.08372	−	2.33573i	−0.160762	−	0.180205i
$169$	0.766844	+	0.629333i	0.0589880	+	0.0484102i
$170$	2.72443	+	7.67774i	0.208954	+	0.588856i
$171$	−8.56157	−	2.14456i	−0.654720	−	0.163999i
$172$	6.36650	+	4.77373i	0.485441	+	0.363993i
$173$	0.415382	+	8.45530i	0.0315809	+	0.642845i	0.961454	+	0.274965i	$0.0886663\pi$
$173$	0.415382	+	8.45530i	0.0315809	+	0.642845i	−0.929873	+	0.367880i	$0.880084\pi$
$174$	0.299668	−	2.96283i	0.0227177	−	0.224612i
$175$	3.15086	−	4.71560i	0.238183	−	0.356466i
$176$	−3.92317	−	2.97397i	−0.295720	−	0.224171i
$177$	3.88134	+	5.80884i	0.291739	+	0.436619i
$178$	−8.63325	−	16.2542i	−0.647089	−	1.21830i
$179$	−1.03610	−	2.19066i	−0.0774421	−	0.163738i	0.861553	−	0.507667i	$-0.169492\pi$
$179$	−1.03610	−	2.19066i	−0.0774421	−	0.163738i	−0.938996	+	0.343929i	$0.888242\pi$
$180$	1.91471	−	5.26396i	0.142714	−	0.392353i
$181$	12.5367	+	9.29787i	0.931847	+	0.691105i	0.951157	−	0.308709i	$-0.0998968\pi$
$181$	12.5367	+	9.29787i	0.931847	+	0.691105i	−0.0193095	+	0.999814i	$0.506147\pi$
$182$	3.82616	+	6.42172i	0.283614	+	0.476010i
$183$	−1.08386	+	3.57300i	−0.0801211	+	0.264124i
$184$	9.19018	−	2.70897i	0.677509	−	0.199708i
$185$	1.81890	−	3.40293i	0.133728	−	0.250188i
$186$	−0.158517	−	0.337445i	−0.0116230	−	0.0247426i
$187$	5.89592	−	2.10959i	0.431153	−	0.154269i
$188$	8.94382	−	5.90839i	0.652295	−	0.430914i
$189$	−5.19564	−	3.11414i	−0.377927	−	0.226521i
$190$	−3.18651	+	4.74196i	−0.231174	+	0.344018i
$191$	14.3914	−	14.3914i	1.04133	−	1.04133i	0.0422177	−	0.999108i	$-0.486558\pi$
$191$	14.3914	−	14.3914i	1.04133	−	1.04133i	0.999108	−	0.0422177i	$-0.0134423\pi$
$192$	4.71574	−	3.38364i	0.340329	−	0.244193i
$193$	−4.85004	−	4.85004i	−0.349113	−	0.349113i	0.510666	−	0.859779i	$-0.329399\pi$
$193$	−4.85004	−	4.85004i	−0.349113	−	0.349113i	−0.859779	+	0.510666i	$0.829399\pi$
$194$	15.0267	−	2.94802i	1.07886	−	0.211656i
$195$	1.46338	−	2.44149i	0.104795	−	0.174839i
$196$	1.77528	+	9.17645i	0.126806	+	0.655461i
$197$	4.00869	+	11.2035i	0.285607	+	0.798218i	0.995574	+	0.0939831i	$0.0299600\pi$
$197$	4.00869	+	11.2035i	0.285607	+	0.798218i	−0.709967	+	0.704235i	$0.751290\pi$
$198$	−4.04996	−	1.46110i	−0.287818	−	0.103836i
$199$	−20.6073	−	11.0148i	−1.46081	−	0.780820i	−0.466219	−	0.884669i	$-0.654384\pi$
$199$	−20.6073	−	11.0148i	−1.46081	−	0.780820i	−0.994593	+	0.103849i	$0.966884\pi$
$200$	8.07646	+	6.73531i	0.571092	+	0.476258i
$201$	3.86372	+	1.17205i	0.272525	+	0.0826697i
$202$	−0.913376	+	3.60622i	−0.0642649	+	0.253733i
$203$	2.63728	−	3.55596i	0.185101	−	0.249580i
$204$	0.323538	+	7.37561i	0.0226522	+	0.516396i
$205$	10.5487	−	4.98916i	0.736752	−	0.348458i
$206$	−18.2189	−	5.57892i	−1.26937	−	0.388701i
$207$	6.96713	−	4.65529i	0.484249	−	0.323565i
$208$	−12.5917	+	5.79447i	−0.873080	+	0.401774i
$209$	3.65129	+	2.43971i	0.252565	+	0.168758i
$210$	−1.37270	+	1.12053i	−0.0947251	+	0.0773237i
$211$	8.72761	−	0.428760i	0.600833	−	0.0295171i	0.253621	−	0.967304i	$-0.418378\pi$
$211$	8.72761	−	0.428760i	0.600833	−	0.0295171i	0.347212	+	0.937787i	$0.387128\pi$
$212$	−5.25200	−	8.86767i	−0.360709	−	0.609034i
$213$	−2.28008	+	9.10259i	−0.156229	+	0.623699i
$214$	−16.1212	−	7.67661i	−1.10202	−	0.524763i
$215$	2.85779	−	3.48223i	0.194900	−	0.237486i
$216$	6.76182	−	8.96879i	0.460084	−	0.610249i
$217$	0.0543271	−	0.551593i	0.00368797	−	0.0374445i
$218$	−5.01442	−	0.757275i	−0.339619	−	0.0512891i
$219$	0.239515	−	4.87543i	0.0161849	−	0.329451i
$220$	−1.77930	+	2.14502i	−0.119960	+	0.144617i
$221$	2.58701	−	17.4402i	0.174021	−	1.17316i
$222$	2.47898	−	2.46600i	0.166378	−	0.165507i
$223$	6.26840	−	2.59646i	0.419763	−	0.173872i	−0.162796	−	0.986660i	$-0.552051\pi$
$223$	6.26840	−	2.59646i	0.419763	−	0.173872i	0.582559	+	0.812788i	$0.302051\pi$
$224$	8.59751	−	0.732995i	0.574445	−	0.0489753i
$225$	8.49711	+	3.51962i	0.566474	+	0.234641i
$226$	−12.1546	+	4.99728i	−0.808514	+	0.332414i
$227$	−0.265476	−	0.357953i	−0.0176203	−	0.0237582i	0.794310	−	0.607513i	$-0.207833\pi$
$227$	−0.265476	−	0.357953i	−0.0176203	−	0.0237582i	−0.811930	+	0.583755i	$0.801583\pi$
$228$	−4.01930	+	3.26340i	−0.266185	+	0.216124i
$229$	4.66225	−	4.22562i	0.308090	−	0.279237i	−0.502840	−	0.864379i	$-0.667712\pi$
$229$	4.66225	−	4.22562i	0.308090	−	0.279237i	0.810930	+	0.585143i	$0.198962\pi$
$230$	−1.30410	−	5.26483i	−0.0859895	−	0.347153i
$231$	0.864051	+	1.05285i	0.0568504	+	0.0692724i
$232$	6.03907	+	5.56073i	0.396484	+	0.365080i
$233$	−12.6773	+	1.24861i	−0.830520	+	0.0817990i	−0.504336	−	0.863507i	$-0.668263\pi$
$233$	−12.6773	+	1.24861i	−0.830520	+	0.0817990i	−0.326184	+	0.945306i	$0.605763\pi$
$234$	−9.00339	+	8.11725i	−0.588570	+	0.530641i
$235$	−3.11968	−	5.20488i	−0.203506	−	0.339529i
$236$	−19.2304	−	1.04595i	−1.25179	−	0.0680857i
$237$	−4.81934	−	4.36799i	−0.313050	−	0.283732i
$238$	−5.19925	+	9.66600i	−0.337017	+	0.626554i
$239$	−0.000277820	0	5.52618e-5i	−1.79707e−5	0	3.57459e-6i	−0.195099	−	0.980783i	$-0.562503\pi$
$239$	−0.000277820	0	5.52618e-5i	−1.79707e−5	0	3.57459e-6i	0.195081	+	0.980787i	$0.437503\pi$
$240$	−1.79667	−	2.75099i	−0.115974	−	0.177576i
$241$	5.55754	+	1.10546i	0.357993	+	0.0712092i	0.370810	−	0.928709i	$-0.379080\pi$
$241$	5.55754	+	1.10546i	0.357993	+	0.0712092i	−0.0128175	+	0.999918i	$0.504080\pi$
$242$	−10.3469	−	8.53706i	−0.665126	−	0.548783i
$243$	5.12314	−	14.3182i	0.328650	−	0.918514i
$244$	−6.08797	−	8.29938i	−0.389742	−	0.531313i
$245$	5.23391	−	0.776377i	0.334382	−	0.0496009i
$246$	10.4642	−	1.52416i	0.667172	−	0.0971766i
$247$	10.9043	−	5.82845i	0.693822	−	0.370856i
$248$	1.00640	+	0.208436i	0.0639062	+	0.0132357i
$249$	0.509305	+	1.67895i	0.0322759	+	0.106399i
$250$	9.40164	−	10.3185i	0.594612	−	0.652602i
$251$	−26.1440	−	12.3652i	−1.65019	−	0.780484i	−0.999782	−	0.0209031i	$-0.993346\pi$
$251$	−26.1440	−	12.3652i	−1.65019	−	0.780484i	−0.650413	−	0.759581i	$-0.725404\pi$
$252$	6.98697	−	2.85122i	0.440138	−	0.179610i
$253$	−4.04413	+	1.01300i	−0.254252	+	0.0636869i
$254$	9.08983	−	6.03918i	0.570347	−	0.378932i
$255$	4.17940			0.261724
$256$	−0.335945	+	15.9965i	−0.0209966	+	0.999780i
$257$	−3.97610			−0.248022			−0.124011	−	0.992281i	$-0.539576\pi$
$257$	−3.97610			−0.248022			−0.124011	+	0.992281i	$0.539576\pi$
$258$	3.40022	−	2.25907i	0.211688	−	0.140643i
$259$	5.04255	−	1.26309i	0.313329	−	0.0784848i
$260$	2.96475	+	7.26518i	0.183866	+	0.450567i
$261$	6.49021	+	3.06964i	0.401734	+	0.190006i
$262$	−18.3836	+	20.1765i	−1.13574	+	1.24651i
$263$	3.69781	+	12.1900i	0.228016	+	0.751669i	0.994055	+	0.108875i	$0.0347249\pi$
$263$	3.69781	+	12.1900i	0.228016	+	0.751669i	−0.766039	+	0.642794i	$0.777775\pi$
$264$	−2.11090	+	1.38654i	−0.129917	+	0.0853357i
$265$	−5.14553	+	2.75034i	−0.316087	+	0.168952i
$266$	−7.61655	+	1.10939i	−0.467001	+	0.0680208i
$267$	−9.33960	+	1.38540i	−0.571574	+	0.0847850i
$268$	−8.97464	+	6.58330i	−0.548214	+	0.402139i
$269$	−0.814608	+	2.27668i	−0.0496675	+	0.138811i	−0.963816	−	0.266568i	$-0.914110\pi$
$269$	−0.814608	+	2.27668i	−0.0496675	+	0.138811i	0.914149	+	0.405379i	$0.132860\pi$
$270$	−4.90467	−	4.04675i	−0.298488	−	0.246277i
$271$	−11.2255	−	2.23290i	−0.681902	−	0.135639i	−0.158028	−	0.987435i	$-0.550514\pi$
$271$	−11.2255	−	2.23290i	−0.681902	−	0.135639i	−0.523874	+	0.851796i	$0.675514\pi$
$272$	−16.8023	−	11.4839i	−1.01879	−	0.696313i
$273$	3.76116	−	0.748141i	0.227636	−	0.0452795i
$274$	−10.0403	+	18.6660i	−0.606556	+	1.12766i
$275$	−3.39061	−	3.07307i	−0.204461	−	0.185313i
$276$	0.266947	−	4.90798i	0.0160683	−	0.295425i
$277$	−7.75565	−	12.9395i	−0.465992	−	0.777460i	0.531587	−	0.847004i	$-0.321596\pi$
$277$	−7.75565	−	12.9395i	−0.465992	−	0.777460i	−0.997579	+	0.0695432i	$0.977846\pi$
$278$	2.14586	−	1.93466i	0.128700	−	0.116033i
$279$	0.894508	−	0.0881013i	0.0535528	−	0.00527449i
$280$	−0.201259	−	4.88062i	−0.0120275	−	0.291673i
$281$	4.69772	+	5.72419i	0.280243	+	0.341477i	0.894040	−	0.447987i	$-0.147859\pi$
$281$	4.69772	+	5.72419i	0.280243	+	0.341477i	−0.613797	+	0.789464i	$0.710359\pi$
$282$	−1.32216	−	5.33776i	−0.0787335	−	0.317859i
$283$	14.8261	−	13.4376i	0.881318	−	0.798780i	−0.0992291	−	0.995065i	$-0.531638\pi$
$283$	14.8261	−	13.4376i	0.881318	−	0.798780i	0.980547	+	0.196285i	$0.0628877\pi$
$284$	−16.3054	−	20.0823i	−0.967550	−	1.19166i
$285$	1.74594	+	2.35413i	0.103421	+	0.139447i
$286$	5.57832	−	2.29348i	0.329853	−	0.135616i
$287$	14.5242	+	6.01612i	0.857336	+	0.355120i
$288$	3.88588	+	13.4426i	0.228977	+	0.792114i
$289$	8.21075	−	3.40101i	0.482985	−	0.200059i
$290$	3.29477	−	3.27752i	0.193475	−	0.192462i
$291$	1.15269	−	7.77082i	0.0675720	−	0.455533i
$292$	10.3569	+	8.59105i	0.606090	+	0.502753i
$293$	1.46897	−	29.9015i	0.0858179	−	1.74686i	−0.441559	−	0.897232i	$-0.645574\pi$
$293$	1.46897	−	29.9015i	0.0858179	−	1.74686i	0.527377	−	0.849631i	$-0.323176\pi$
$294$	4.74116	+	0.716007i	0.276510	+	0.0417584i
$295$	−1.06864	+	10.8501i	−0.0622186	+	0.631716i
$296$	1.33924	+	9.54567i	0.0778415	+	0.554831i
$297$	−3.10060	+	3.77809i	−0.179915	+	0.219227i
$298$	−21.7804	−	10.3714i	−1.26170	−	0.600798i
$299$	−2.85218	+	11.3865i	−0.164946	+	0.658501i
$300$	4.64195	−	2.74926i	0.268003	−	0.158729i
$301$	6.06164	−	0.297789i	0.349387	−	0.0171643i
$302$	18.0275	−	14.7157i	1.03736	−	0.846796i
$303$	1.58682	+	1.06028i	0.0911603	+	0.0609114i
$304$	−0.550605	−	14.2616i	−0.0315793	−	0.817959i
$305$	−4.84486	+	3.23723i	−0.277416	+	0.185363i
$306$	−17.0189	−	5.21145i	−0.972906	−	0.297919i
$307$	16.2404	−	7.68112i	0.926887	−	0.438385i	0.0963495	−	0.995348i	$-0.469283\pi$
$307$	16.2404	−	7.68112i	0.926887	−	0.438385i	0.830538	+	0.556963i	$0.188033\pi$
$308$	−3.75103	+	0.164543i	−0.213735	+	0.00937569i
$309$	−5.82291	+	7.85128i	−0.331254	+	0.446644i
$310$	0.142851	−	0.564010i	0.00811341	−	0.0320336i
$311$	4.79189	+	1.45360i	0.271723	+	0.0824262i	0.423206	−	0.906034i	$-0.360905\pi$
$311$	4.79189	+	1.45360i	0.271723	+	0.0824262i	−0.151483	+	0.988460i	$0.548405\pi$
$312$	0.641242	+	7.08189i	0.0363032	+	0.400933i
$313$	2.56124	+	1.36901i	0.144770	+	0.0773810i	0.542191	−	0.840255i	$-0.317595\pi$
$313$	2.56124	+	1.36901i	0.144770	+	0.0773810i	−0.397421	+	0.917636i	$0.630095\pi$
$314$	−13.7151	−	4.94798i	−0.773986	−	0.279231i
$315$	−1.43921	−	4.02231i	−0.0810900	−	0.226631i
$316$	17.6038	−	3.40565i	0.990292	−	0.191583i
$317$	13.3272	−	22.2352i	0.748533	−	1.24885i	−0.213773	−	0.976883i	$-0.568575\pi$
$317$	13.3272	−	22.2352i	0.748533	−	1.24885i	0.962306	−	0.271968i	$-0.0876746\pi$
$318$	−5.18834	+	1.01787i	−0.290947	+	0.0570796i
$319$	−2.52588	−	2.52588i	−0.141422	−	0.141422i
$320$	9.03868	+	0.586854i	0.505278	+	0.0328061i
$321$	−6.47721	+	6.47721i	−0.361523	+	0.361523i
$322$	4.07565	−	6.06512i	0.227127	−	0.337996i
$323$	15.5713	+	9.33307i	0.866410	+	0.519306i
$324$	5.00465	+	7.57578i	0.278036	+	0.420877i
$325$	−12.1310	+	4.34053i	−0.672905	+	0.240769i
$326$	8.05683	+	17.1511i	0.446226	+	0.949909i
$327$	−1.22640	+	2.29443i	−0.0678200	+	0.126882i
$328$	−13.9436	+	25.5998i	−0.769909	+	1.41351i
$329$	2.37316	−	7.82325i	0.130836	−	0.431310i
$330$	0.731807	+	1.22825i	0.0402846	+	0.0676127i
$331$	−26.6024	−	19.7297i	−1.46220	−	1.08444i	−0.977787	−	0.209602i	$-0.932783\pi$
$331$	−26.6024	−	19.7297i	−1.46220	−	1.08444i	−0.484413	−	0.874840i	$-0.660967\pi$
$332$	−4.54527	−	1.65329i	−0.249454	−	0.0907360i
$333$	3.60431	+	7.62068i	0.197515	+	0.417610i
$334$	7.60311	+	14.3147i	0.416023	+	0.783263i
$335$	3.50062	+	5.23905i	0.191259	+	0.286240i
$336$	1.12060	−	4.28244i	0.0611340	−	0.233626i
$337$	10.7817	−	16.1360i	0.587319	−	0.878986i	−0.412165	−	0.911109i	$-0.635227\pi$
$337$	10.7817	−	16.1360i	0.587319	−	0.878986i	0.999484	+	0.0321239i	$0.0102271\pi$
$338$	−0.141176	+	1.39581i	−0.00767894	+	0.0759221i
$339$	0.330810	+	6.73380i	0.0179672	+	0.365730i
$340$	−6.91172	+	9.21784i	−0.374840	+	0.499908i
$341$	−0.433809	−	0.108663i	−0.0234921	−	0.00588445i
$342$	−4.17418	−	11.7633i	−0.225714	−	0.636087i
$343$	13.7641	+	11.2959i	0.743194	+	0.609924i
$344$	−0.640673	+	11.2353i	−0.0345428	+	0.605765i
$345$	−2.76915	−	0.272737i	−0.149086	−	0.0146837i
$346$	−9.63471	+	7.10646i	−0.517965	+	0.382046i
$347$	25.7913	+	1.26704i	1.38455	+	0.0680184i	0.727643	−	0.685956i	$-0.240616\pi$
$347$	25.7913	+	1.26704i	1.38455	+	0.0680184i	0.656904	+	0.753974i	$0.271866\pi$
$348$	3.72454	−	1.96574i	0.199656	−	0.105375i
$349$	−22.1073	−	3.27931i	−1.18338	−	0.175537i	−0.474103	−	0.880470i	$-0.657227\pi$
$349$	−22.1073	−	3.27931i	−1.18338	−	0.175537i	−0.709275	+	0.704932i	$0.750977\pi$
$350$	8.02054	+	0.0210521i	0.428716	+	0.00112528i
$351$	5.26615	+	12.7136i	0.281086	+	0.678602i
$352$	0.432844	−	6.94868i	0.0230707	−	0.370366i
$353$	−0.149880	+	0.361843i	−0.00797733	+	0.0192590i	−0.927818	−	0.373033i	$-0.878318\pi$
$353$	−0.149880	+	0.361843i	−0.00797733	+	0.0192590i	0.919841	+	0.392292i	$0.128318\pi$
$354$	−3.80487	+	9.11799i	−0.202226	+	0.484616i
$355$	−11.7623	+	8.72353i	−0.624279	+	0.462997i
$356$	12.3899	−	22.8900i	0.656662	−	1.21317i
$357$	3.78129	+	4.17201i	0.200127	+	0.220806i
$358$	1.76959	−	2.93489i	0.0935258	−	0.155114i
$359$	−0.660274	+	0.541873i	−0.0348479	+	0.0285990i	−0.651656	−	0.758515i	$-0.725925\pi$
$359$	−0.660274	+	0.541873i	−0.0348479	+	0.0285990i	0.616808	+	0.787114i	$0.288425\pi$
$360$	7.69906	−	1.86421i	0.405776	−	0.0982525i
$361$	−0.614467	−	6.23878i	−0.0323403	−	0.328357i
$362$	−1.14096	+	22.0440i	−0.0599675	+	1.15861i
$363$	−5.90258	+	3.53787i	−0.309805	+	0.185690i
$364$	−4.56999	+	9.53263i	−0.239532	+	0.499646i
$365$	5.11572	−	5.64433i	0.267769	−	0.295438i
$366$	−5.05700	+	1.51954i	−0.264333	+	0.0794276i
$367$	−5.76359	−	28.9755i	−0.300857	−	1.51251i	−0.774942	−	0.632032i	$-0.782221\pi$
$367$	−5.76359	−	28.9755i	−0.300857	−	1.51251i	0.474085	−	0.880479i	$-0.342779\pi$
$368$	10.3833	+	8.70536i	0.541266	+	0.453798i
$369$	−4.97369	+	25.0044i	−0.258920	+	1.30168i
$370$	5.43190	−	0.520604i	0.282391	−	0.0270649i
$371$	−7.40086	−	2.64807i	−0.384234	−	0.137481i
$372$	0.273431	−	0.450808i	0.0141767	−	0.0233733i
$373$	5.28157	+	35.6054i	0.273469	+	1.84358i	0.495585	+	0.868560i	$0.334954\pi$
$373$	5.28157	+	35.6054i	0.273469	+	1.84358i	−0.222115	+	0.975020i	$0.571296\pi$
$374$	7.09915	+	5.29402i	0.367088	+	0.273748i
$375$	−3.37582	−	6.31571i	−0.174326	−	0.326142i
$376$	13.9592	+	5.91129i	0.719890	+	0.304851i
$377$	−9.62452	+	2.91957i	−0.495688	+	0.150365i
$378$	−0.397879	−	8.55726i	−0.0204647	−	0.440138i
$379$	−15.0225	+	31.7623i	−0.771653	+	1.63152i	0.00369974	+	0.999993i	$0.498822\pi$
$379$	−15.0225	+	31.7623i	−0.771653	+	1.63152i	−0.775352	+	0.631529i	$0.782428\pi$
$380$	−8.07950	−	0.0424139i	−0.414469	−	0.00217579i
$381$	−1.36034	−	5.43079i	−0.0696924	−	0.278228i
$382$	28.2149	+	5.68933i	1.44360	+	0.291091i
$383$			23.4180i			1.19661i	0.801270	+	0.598303i	$0.204158\pi$
$383$			23.4180i			1.19661i	−0.801270	+	0.598303i	$0.795842\pi$
$384$	7.67626	+	2.90678i	0.391728	+	0.148336i
$385$			2.12553i			0.108327i
$386$	1.91736	−	9.50869i	0.0975909	−	0.483980i
$387$	2.39139	+	9.54696i	0.121561	+	0.485299i
$388$	15.2326	+	15.3934i	0.773317	+	0.781479i
$389$	10.9828	−	23.2211i	0.556849	−	1.17736i	−0.407618	−	0.913153i	$-0.633641\pi$
$389$	10.9828	−	23.2211i	0.556849	−	1.17736i	0.964467	−	0.264205i	$-0.0851095\pi$
$390$	4.02117	−	0.186968i	0.203620	−	0.00946752i
$391$	−16.4930	+	5.00309i	−0.834086	+	0.253017i
$392$	−9.41991	+	9.27271i	−0.475777	+	0.468343i
$393$	6.60094	+	12.3495i	0.332974	+	0.622950i
$394$	−10.0598	+	13.4899i	−0.506805	+	0.679612i
$395$	−1.48938	−	10.0406i	−0.0749386	−	0.505195i
$396$	−1.44844	−	5.91404i	−0.0727869	−	0.297192i
$397$	26.2298	+	9.38516i	1.31643	+	0.471028i	0.899107	−	0.437729i	$-0.144217\pi$
$397$	26.2298	+	9.38516i	1.31643	+	0.471028i	0.417327	+	0.908756i	$0.362967\pi$
$398$	−3.15265	−	32.8943i	−0.158028	−	1.64884i
$399$	−0.770336	+	3.87274i	−0.0385650	+	0.193880i
$400$	−1.61306	+	14.7846i	−0.0806529	+	0.739232i
$401$	3.05574	+	15.3622i	0.152596	+	0.767154i	0.978966	+	0.204025i	$0.0654025\pi$
$401$	3.05574	+	15.3622i	0.152596	+	0.767154i	−0.826369	+	0.563129i	$0.809598\pi$
$402$	1.64317	+	5.46845i	0.0819541	+	0.272742i
$403$	−0.845597	+	0.932973i	−0.0421222	+	0.0464747i
$404$	−4.96270	+	1.74635i	−0.246903	+	0.0868841i
$405$	4.40874	−	2.64250i	0.219072	−	0.131307i
$406$	6.25264	+	0.323626i	0.310314	+	0.0160613i
$407$	−0.411116	−	4.17413i	−0.0203783	−	0.206904i
$408$	−8.43478	+	6.15330i	−0.417584	+	0.304634i
$409$	−19.6529	+	16.1287i	−0.971775	+	0.797515i	−0.979291	−	0.202457i	$-0.935107\pi$
$409$	−19.6529	+	16.1287i	−0.971775	+	0.797515i	0.00751644	+	0.999972i	$0.497607\pi$
$410$	14.1324	+	8.52111i	0.697948	+	0.420828i
$411$	7.30205	+	8.05658i	0.360184	+	0.397402i
$412$	−7.68665	−	25.8268i	−0.378694	−	1.27239i
$413$	−11.7977	+	8.74979i	−0.580528	+	0.430549i
$414$	10.9361	+	4.56356i	0.537482	+	0.224287i
$415$	−1.04780	+	2.52962i	−0.0514346	+	0.124174i
$416$	−16.6799	−	10.2974i	−0.817798	−	0.504874i
$417$	−0.567216	−	1.36938i	−0.0277767	−	0.0670589i
$418$	−0.0163006	+	6.21031i	−0.000797290	+	0.303756i
$419$	−35.6280	−	5.28491i	−1.74054	−	0.258185i	−0.800521	−	0.599305i	$-0.795444\pi$
$419$	−35.6280	−	5.28491i	−1.74054	−	0.258185i	−0.940020	+	0.341120i	$0.889194\pi$
$420$	−2.39419	−	0.740015i	−0.116824	−	0.0361091i
$421$	15.1595	+	0.744738i	0.738829	+	0.0362963i	0.415003	−	0.909820i	$-0.363781\pi$
$421$	15.1595	+	0.744738i	0.738829	+	0.0362963i	0.323826	+	0.946117i	$0.395031\pi$
$422$	7.33533	+	9.94500i	0.357078	+	0.484115i
$423$	13.1939	+	1.29948i	0.641507	+	0.0631830i
$424$	6.33529	−	13.1264i	0.307669	−	0.637475i
$425$	−14.6234	−	12.0011i	−0.709339	−	0.582140i
$426$	−12.5067	+	4.43796i	−0.605949	+	0.215020i
$427$	−7.61486	−	1.90742i	−0.368509	−	0.0923067i
$428$	−3.57402	−	24.9975i	−0.172757	−	1.20830i
$429$	−0.151824	−	3.09045i	−0.00733014	−	0.149208i
$430$	6.33836	+	0.641076i	0.305663	+	0.0309154i
$431$	−20.4977	+	30.6770i	−0.987341	+	1.47766i	−0.112263	+	0.993678i	$0.535810\pi$
$431$	−20.4977	+	30.6770i	−0.987341	+	1.47766i	−0.875078	+	0.483982i	$0.839190\pi$
$432$	15.8565	+	0.945952i	0.762896	+	0.0455121i
$433$	10.4231	+	15.5992i	0.500900	+	0.749650i	0.992641	−	0.121092i	$-0.0386395\pi$
$433$	10.4231	+	15.5992i	0.500900	+	0.749650i	−0.491741	+	0.870741i	$0.663639\pi$
$434$	0.692256	−	0.367686i	0.0332294	−	0.0176495i
$435$	−1.01935	−	2.15523i	−0.0488740	−	0.103335i
$436$	−3.03229	−	6.49930i	−0.145220	−	0.311260i
$437$	−9.70803	−	7.19996i	−0.464398	−	0.344421i
$438$	5.93038	−	3.53341i	0.283365	−	0.168833i
$439$	−3.22255	+	10.6233i	−0.153804	+	0.507023i	−0.999651	−	0.0264015i	$-0.991595\pi$
$439$	−3.22255	+	10.6233i	−0.153804	+	0.507023i	0.845848	+	0.533425i	$0.179095\pi$
$440$	−3.91918	−	0.417190i	−0.186839	−	0.0198888i
$441$	−5.44937	+	10.1951i	−0.259494	+	0.485479i
$442$	22.5680	−	10.6015i	1.07345	−	0.504261i
$443$	6.36178	−	2.27628i	0.302257	−	0.108149i	−0.181393	−	0.983411i	$-0.558061\pi$
$443$	6.36178	−	2.27628i	0.302257	−	0.108149i	0.483650	+	0.875261i	$0.339311\pi$
$444$	4.84485	+	0.990169i	0.229927	+	0.0469913i
$445$	−12.6384	−	7.57514i	−0.599115	−	0.359096i
$446$	7.96414	+	5.35176i	0.377113	+	0.253413i
$447$	−8.75095	+	8.75095i	−0.413906	+	0.413906i
$448$	7.59188	+	9.55365i	0.358683	+	0.451368i
$449$	−19.4057	−	19.4057i	−0.915813	−	0.915813i	0.0809081	−	0.996722i	$-0.474218\pi$
$449$	−19.4057	−	19.4057i	−0.915813	−	0.915813i	−0.996722	+	0.0809081i	$0.974218\pi$
$450$	2.50401	+	12.7635i	0.118040	+	0.601678i
$451$	6.52116	−	10.8799i	0.307069	−	0.512314i
$452$	−15.3988	−	10.4065i	−0.724296	−	0.489479i
$453$	−4.02190	−	11.2405i	−0.188966	−	0.528123i
$454$	0.213882	−	0.592850i	0.0100380	−	0.0278238i
$455$	5.27793	+	2.82111i	0.247433	+	0.132256i
$456$	−6.98959	−	2.18052i	−0.327318	−	0.102112i
$457$	19.0464	+	5.77767i	0.890954	+	0.270268i	0.702390	−	0.711793i	$-0.252116\pi$
$457$	19.0464	+	5.77767i	0.890954	+	0.270268i	0.188565	+	0.982061i	$0.439616\pi$
$458$	8.62620	+	2.18483i	0.403076	+	0.102090i
$459$	−12.0362	+	16.2289i	−0.561801	+	0.757500i
$460$	5.18103	−	5.65643i	0.241567	−	0.263732i
$461$	31.1200	−	14.7187i	1.44940	−	0.685516i	0.469122	−	0.883133i	$-0.344570\pi$
$461$	31.1200	−	14.7187i	1.44940	−	0.685516i	0.980279	+	0.197617i	$0.0633203\pi$
$462$	−0.563975	+	1.84176i	−0.0262385	+	0.0856865i
$463$	26.4879	−	17.6986i	1.23100	−	0.822526i	0.241973	−	0.970283i	$-0.422205\pi$
$463$	26.4879	−	17.6986i	1.23100	−	0.822526i	0.989024	+	0.147757i	$0.0472054\pi$
$464$	−1.82397	+	11.4655i	−0.0846755	+	0.532272i
$465$	−0.248177	−	0.165827i	−0.0115089	−	0.00769003i
$466$	−11.3921	−	13.9559i	−0.527730	−	0.646494i
$467$	−17.2010	+	0.845032i	−0.795968	+	0.0391034i	−0.442988	−	0.896527i	$-0.646082\pi$
$467$	−17.2010	+	0.845032i	−0.795968	+	0.0391034i	−0.352980	+	0.935631i	$0.614832\pi$
$468$	−16.6077	−	4.25279i	−0.767691	−	0.196585i
$469$	−2.06262	+	8.23444i	−0.0952429	+	0.380231i
$470$	3.68952	−	7.74815i	0.170185	−	0.357395i
$471$	−4.74518	+	5.78202i	−0.218647	+	0.266422i
$472$	−13.8178	−	23.4707i	−0.636015	−	1.08033i
$473$	0.479969	−	4.87321i	0.0220690	−	0.224070i
$474$	1.37357	−	9.09528i	0.0630899	−	0.417760i
$475$	0.650950	−	13.2504i	0.0298676	−	0.607969i
$476$	−15.4549	+	1.44030i	−0.708373	+	0.0660159i
$477$	1.87037	−	12.6090i	0.0856384	−	0.577327i
$478$	−0.000282518	0	0.000284005i	−1.29221e−5	0	1.29901e-5i
$479$	−28.2136	+	11.6865i	−1.28911	+	0.533968i	−0.918721	−	0.394908i	$-0.870777\pi$
$479$	−28.2136	+	11.6865i	−1.28911	+	0.533968i	−0.370392	+	0.928876i	$0.620777\pi$
$480$	1.83441	−	4.26930i	0.0837288	−	0.194866i
$481$	−10.9105	−	4.51927i	−0.497476	−	0.206061i
$482$	3.04720	+	7.41156i	0.138796	+	0.337587i
$483$	−2.23312	−	3.01101i	−0.101610	−	0.137006i
$484$	1.95852	−	18.8692i	0.0890236	−	0.857689i
$485$	9.08382	−	8.23309i	0.412475	−	0.373846i
$486$	20.8753	−	5.17080i	0.946924	−	0.234552i
$487$	−3.33641	−	4.06543i	−0.151187	−	0.184222i	0.691909	−	0.721985i	$-0.256770\pi$
$487$	−3.33641	−	4.06543i	−0.151187	−	0.184222i	−0.843097	+	0.537762i	$0.819270\pi$
$488$	5.01164	−	13.6664i	0.226866	−	0.618647i
$489$	9.67435	−	0.952840i	0.437489	−	0.0430889i
$490$	5.01061	+	5.55760i	0.226356	+	0.251067i
$491$	17.7085	+	29.5448i	0.799172	+	1.33334i	0.939263	+	0.343199i	$0.111511\pi$
$491$	17.7085	+	29.5448i	0.799172	+	1.33334i	−0.140091	+	0.990139i	$0.544739\pi$
$492$	9.98469	+	11.1333i	0.450144	+	0.501928i
$493$	−10.9419	−	9.91714i	−0.492798	−	0.446646i
$494$	15.3993	+	8.28312i	0.692846	+	0.372675i
$495$	−3.38070	+	0.672463i	−0.151951	+	0.0302250i
$496$	0.542088	+	1.34859i	0.0243405	+	0.0605535i
$497$	−19.3500	−	3.84896i	−0.867966	−	0.172649i
$498$	−1.57911	+	1.91389i	−0.0707617	+	0.0857633i
$499$	12.4799	−	34.8790i	0.558678	−	1.56140i	−0.246981	−	0.969020i	$-0.579438\pi$
$499$	12.4799	−	34.8790i	0.558678	−	1.56140i	0.805659	−	0.592380i	$-0.201812\pi$
$500$	19.5123	+	2.99915i	0.872619	+	0.134126i
$501$	8.22517	−	1.22009i	0.367474	−	0.0545096i
$502$	−5.89507	−	40.4730i	−0.263110	−	1.80640i
$503$	30.9562	−	16.5464i	1.38027	−	0.737768i	0.396638	−	0.917975i	$-0.370177\pi$
$503$	30.9562	−	16.5464i	1.38027	−	0.737768i	0.983629	+	0.180207i	$0.0576768\pi$
$504$	8.82659	+	5.99881i	0.393168	+	0.267208i
$505$	0.864551	+	2.85004i	0.0384720	+	0.126825i
$506$	−4.35821	−	3.97094i	−0.193746	−	0.176530i
$507$	0.650620	+	0.307720i	0.0288951	+	0.0136663i
$508$	14.2275	+	5.98092i	0.631243	+	0.265360i
$509$	−19.9566	+	4.99886i	−0.884560	+	0.221571i	−0.658534	−	0.752551i	$-0.728823\pi$
$509$	−19.9566	+	4.99886i	−0.884560	+	0.221571i	−0.226026	+	0.974121i	$0.572573\pi$
$510$	3.27082	+	4.92306i	0.144834	+	0.217997i
$511$	10.2628			0.453998
$512$	−19.1057	+	12.1232i	−0.844361	+	0.535775i
$513$	−14.1694			−0.625593
$514$	−3.11172	−	4.68358i	−0.137252	−	0.206584i
$515$	−14.7974	+	3.70655i	−0.652050	+	0.163330i
$516$	5.32206	+	2.23727i	0.234291	+	0.0984905i
$517$	−5.96298	−	2.82028i	−0.262252	−	0.124036i
$518$	5.43417	+	4.95129i	0.238764	+	0.217547i
$519$	1.78287	+	5.87733i	0.0782592	+	0.257986i
$520$	−6.23767	+	9.17805i	−0.273540	+	0.402484i
$521$	12.9054	−	6.89809i	0.565397	−	0.302211i	−0.163824	−	0.986490i	$-0.552383\pi$
$521$	12.9054	−	6.89809i	0.565397	−	0.302211i	0.729221	+	0.684279i	$0.239883\pi$
$522$	1.46344	+	10.0474i	0.0640532	+	0.439761i
$523$	6.08329	−	0.902371i	0.266004	−	0.0394579i	−0.0123962	−	0.999923i	$-0.503946\pi$
$523$	6.08329	−	0.902371i	0.266004	−	0.0394579i	0.278400	+	0.960465i	$0.410196\pi$
$524$	−38.1537	−	5.86442i	−1.66675	−	0.256189i
$525$	1.38618	−	3.87412i	0.0604980	−	0.169081i
$526$	−11.4651	+	13.8958i	−0.499903	+	0.605884i
$527$	−1.81327	−	0.360681i	−0.0789871	−	0.0157115i
$528$	−3.28525	−	1.40139i	−0.142972	−	0.0609875i
$529$	−11.3038	+	2.24847i	−0.491470	+	0.0977594i
$530$	−7.26664	−	3.90866i	−0.315643	−	0.169781i
$531$	−17.6492	−	15.9963i	−0.765912	−	0.694182i
$532$	−7.26754	−	8.10358i	−0.315088	−	0.351335i
$533$	−18.3608	−	30.6331i	−0.795294	−	1.32687i
$534$	−8.94114	−	9.91721i	−0.386921	−	0.429160i
$535$	−14.2263	+	1.40117i	−0.615058	+	0.0605779i
$536$	−14.7783	−	5.41940i	−0.638326	−	0.234083i
$537$	−1.11535	−	1.35906i	−0.0481311	−	0.0586479i
$538$	−3.31929	+	0.822186i	−0.143105	+	0.0354470i
$539$	4.26168	−	3.86256i	0.183564	−	0.166372i
$540$	0.928378	−	8.94438i	0.0399510	−	0.384905i
$541$	25.7783	+	34.7580i	1.10830	+	1.49436i	0.848870	+	0.528602i	$0.177283\pi$
$541$	25.7783	+	34.7580i	1.10830	+	1.49436i	0.259426	+	0.965763i	$0.416467\pi$
$542$	−6.15496	−	14.9704i	−0.264378	−	0.643034i
$543$	10.4620	+	4.33349i	0.448967	+	0.185968i
$544$	0.377716	−	28.7793i	0.0161945	−	1.23390i
$545$	−3.75099	+	1.55371i	−0.160675	+	0.0665537i
$546$	3.82476	+	3.84490i	0.163685	+	0.164546i
$547$	−2.80798	+	18.9299i	−0.120061	+	0.809382i	0.842574	+	0.538580i	$0.181039\pi$
$547$	−2.80798	+	18.9299i	−0.120061	+	0.809382i	−0.962635	+	0.270802i	$0.912711\pi$
$548$	−29.8449	+	2.78136i	−1.27491	+	0.118814i
$549$	0.624651	−	12.7151i	0.0266595	−	0.542666i
$550$	0.966361	−	6.39891i	0.0412058	−	0.272851i
$551$	1.01506	−	10.3061i	0.0432432	−	0.439055i
$552$	5.99018	−	3.52656i	0.254959	−	0.150101i
$553$	8.67530	−	10.5709i	0.368911	−	0.449519i
$554$	9.17228	−	19.2622i	0.389693	−	0.818372i
$555$	0.680199	−	2.71551i	0.0288728	−	0.115267i
$556$	3.95827	+	1.01361i	0.167868	+	0.0429865i
$557$	−7.03799	+	0.345754i	−0.298209	+	0.0146501i	−0.197622	−	0.980278i	$-0.563322\pi$
$557$	−7.03799	+	0.345754i	−0.298209	+	0.0146501i	−0.100587	+	0.994928i	$0.532072\pi$
$558$	0.803825	+	0.984722i	0.0340286	+	0.0416866i
$559$	−11.4637	−	7.65980i	−0.484863	−	0.323975i
$560$	5.59154	−	4.05667i	0.236286	−	0.171426i
$561$	3.77746	−	2.52402i	0.159484	−	0.106564i
$562$	−3.06625	+	10.0134i	−0.129342	+	0.422390i
$563$	−22.2528	+	10.5248i	−0.937842	+	0.443566i	−0.834456	−	0.551075i	$-0.814218\pi$
$563$	−22.2528	+	10.5248i	−0.937842	+	0.443566i	−0.103386	+	0.994641i	$0.532968\pi$
$564$	5.25280	−	5.73478i	0.221183	−	0.241478i
$565$	−6.26754	+	8.45079i	−0.263677	+	0.355528i
$566$	27.4315	+	6.94781i	1.15303	+	0.292038i
$567$	6.62661	+	2.01016i	0.278291	+	0.0844188i
$568$	10.8949	−	34.9232i	0.457139	−	1.46535i
$569$	7.99477	+	4.27329i	0.335158	+	0.179146i	0.630388	−	0.776281i	$-0.282896\pi$
$569$	7.99477	+	4.27329i	0.335158	+	0.179146i	−0.295229	+	0.955426i	$0.595396\pi$
$570$	−1.40663	+	3.89896i	−0.0589170	+	0.163309i
$571$	1.70514	+	4.76555i	0.0713579	+	0.199432i	0.971928	−	0.235279i	$-0.0756005\pi$
$571$	1.70514	+	4.76555i	0.0713579	+	0.199432i	−0.900570	+	0.434711i	$0.856850\pi$
$572$	7.06720	+	4.77600i	0.295494	+	0.199695i
$573$	7.59121	−	12.6652i	0.317127	−	0.529095i
$574$	4.28013	+	21.8168i	0.178649	+	0.910616i
$575$	8.90587	+	8.90587i	0.371401	+	0.371401i
$576$	−12.7934	+	15.0976i	−0.533059	+	0.629066i
$577$	16.4464	−	16.4464i	0.684672	−	0.684672i	−0.276377	−	0.961049i	$-0.589134\pi$
$577$	16.4464	−	16.4464i	0.684672	−	0.684672i	0.961049	+	0.276377i	$0.0891338\pi$
$578$	10.4319	+	7.01008i	0.433912	+	0.291581i
$579$	−4.26828	−	2.55831i	−0.177384	−	0.106320i
$580$	6.43920	+	1.31601i	0.267373	+	0.0546445i
$581$	−3.47314	+	1.24271i	−0.144090	+	0.0515563i
$582$	10.0556	−	4.72369i	0.416818	−	0.195803i
$583$	−2.98969	+	5.59332i	−0.123820	+	0.231651i
$584$	−2.01434	+	18.9231i	−0.0833538	+	0.783044i
$585$	−2.81724	+	9.28719i	−0.116478	+	0.383978i
$586$	36.3716	−	21.6707i	1.50250	−	0.895210i
$587$	−13.8790	−	10.2933i	−0.572846	−	0.424851i	0.270114	−	0.962828i	$-0.412939\pi$
$587$	−13.8790	−	10.2933i	−0.572846	−	0.424851i	−0.842960	+	0.537977i	$0.819189\pi$
$588$	2.86705	+	6.14512i	0.118235	+	0.253420i
$589$	−0.554330	−	1.17203i	−0.0228408	−	0.0482927i
$590$	−13.6170	+	7.23254i	−0.560603	+	0.297759i
$591$	4.79618	+	7.17799i	0.197289	+	0.295263i
$592$	−10.1961	+	9.04803i	−0.419056	+	0.371872i
$593$	4.54891	−	6.80793i	0.186801	−	0.279568i	−0.726235	−	0.687447i	$-0.758731\pi$
$593$	4.54891	−	6.80793i	0.186801	−	0.279568i	0.913036	+	0.407879i	$0.133731\pi$
$594$	−6.87688	−	0.695544i	−0.282162	−	0.0285385i
$595$	0.431159	+	8.77644i	0.0176758	+	0.359799i
$596$	−4.82863	−	33.7725i	−0.197788	−	1.38338i
$597$	−16.4444	−	4.11912i	−0.673026	−	0.168584i
$598$	−15.6447	+	5.55150i	−0.639761	+	0.227018i
$599$	−6.65210	−	5.45924i	−0.271797	−	0.223058i	0.488614	−	0.872500i	$-0.337503\pi$
$599$	−6.65210	−	5.45924i	−0.271797	−	0.223058i	−0.760411	+	0.649442i	$0.775003\pi$
$600$	6.87127	+	3.31633i	0.280518	+	0.135388i
$601$	−19.1676	−	1.88785i	−0.781864	−	0.0770069i	−0.300794	−	0.953689i	$-0.597252\pi$
$601$	−19.1676	−	1.88785i	−0.781864	−	0.0770069i	−0.481070	+	0.876682i	$0.659752\pi$
$602$	5.09465	+	6.90716i	0.207643	+	0.281515i
$603$	−13.7496	−	0.675475i	−0.559927	−	0.0275075i
$604$	31.4426	+	9.71854i	1.27938	+	0.395442i
$605$	−10.6231	−	1.57579i	−0.431891	−	0.0640650i
$606$	−0.00708411	+	2.69895i	−0.000287772	+	0.109637i
$607$	15.3203	+	36.9865i	0.621832	+	1.50124i	0.849550	+	0.527508i	$0.176874\pi$
$607$	15.3203	+	36.9865i	0.621832	+	1.50124i	−0.227718	+	0.973727i	$0.573126\pi$
$608$	16.3683	−	11.8098i	0.663823	−	0.478950i
$609$	1.22917	−	2.96748i	0.0498085	−	0.120248i
$610$	−7.60486	−	3.17345i	−0.307912	−	0.128489i
$611$	−14.9175	+	11.0635i	−0.603496	+	0.447583i
$612$	−7.18035	−	24.1256i	−0.290249	−	0.975222i
$613$	10.5997	+	11.6950i	0.428119	+	0.472357i	0.916362	−	0.400351i	$-0.131112\pi$
$613$	10.5997	+	11.6950i	0.428119	+	0.472357i	−0.488243	+	0.872708i	$0.662362\pi$
$614$	21.7577	+	13.1188i	0.878068	+	0.529431i
$615$	6.54430	−	5.37077i	0.263891	−	0.216570i
$616$	−3.12940	−	4.28970i	−0.126087	−	0.172837i
$617$	−2.61328	−	26.5331i	−0.105207	−	1.06818i	−0.892329	−	0.451386i	$-0.850930\pi$
$617$	−2.61328	−	26.5331i	−0.105207	−	1.06818i	0.787122	−	0.616797i	$-0.211570\pi$
$618$	−13.8053	−	0.714541i	−0.555332	−	0.0287430i
$619$	−1.24074	+	0.743673i	−0.0498697	+	0.0298908i	−0.538820	−	0.842421i	$-0.681130\pi$
$619$	−1.24074	+	0.743673i	−0.0498697	+	0.0298908i	0.488951	+	0.872311i	$0.337380\pi$
$620$	0.776162	−	0.273128i	0.0311714	−	0.0109691i
$621$	9.03387	−	9.96734i	0.362517	−	0.399976i
$622$	2.03791	+	6.78212i	0.0817128	+	0.271938i
$623$	−3.87274	−	19.4696i	−0.155158	−	0.780032i
$624$	−7.84016	+	6.29767i	−0.313858	+	0.252109i
$625$	−1.44653	+	7.27219i	−0.0578611	+	0.290888i
$626$	0.391836	+	4.08836i	0.0156609	+	0.163404i
$627$	2.99974	+	1.07332i	0.119798	+	0.0428644i
$628$	−4.90511	−	20.0278i	−0.195735	−	0.799195i
$629$	−2.54424	−	17.1518i	−0.101445	−	0.683889i
$630$	3.61168	−	4.84317i	0.143893	−	0.192957i
$631$	21.0695	+	39.4182i	0.838762	+	1.56921i	0.822094	+	0.569352i	$0.192806\pi$
$631$	21.0695	+	39.4182i	0.838762	+	1.56921i	0.0166685	+	0.999861i	$0.494694\pi$
$632$	17.7885	+	18.0708i	0.707587	+	0.718819i
$633$	6.06661	−	1.84029i	0.241126	−	0.0731448i
$634$	36.6215	−	1.70276i	1.45443	−	0.0676252i
$635$	3.73556	−	7.89817i	0.148241	−	0.313429i
$636$	−5.25941	−	5.31492i	−0.208549	−	0.210750i
$637$	−3.93486	−	15.7088i	−0.155905	−	0.622407i
$638$	0.998550	−	4.95209i	0.0395330	−	0.196055i
$639$		−	31.9943i		−	1.26568i
$640$	6.38245	+	11.1062i	0.252288	+	0.439013i
$641$			3.82347i			0.151018i	0.997145	+	0.0755090i	$0.0240582\pi$
$641$			3.82347i			0.151018i	−0.997145	+	0.0755090i	$0.975942\pi$
$642$	−12.6988	−	2.56062i	−0.501183	−	0.101060i
$643$	7.92335	+	31.6318i	0.312466	+	1.24744i	0.899158	+	0.437625i	$0.144180\pi$
$643$	7.92335	+	31.6318i	0.312466	+	1.24744i	−0.586691	+	0.809811i	$0.699570\pi$
$644$	10.3339	+	0.0542488i	0.407214	+	0.00213770i
$645$	1.39735	−	2.95446i	0.0550208	−	0.116332i
$646$	1.19244	+	25.6461i	0.0469160	+	1.00903i
$647$	−14.3529	+	4.35390i	−0.564270	+	0.171169i	−0.559516	−	0.828819i	$-0.689013\pi$
$647$	−14.3529	+	4.35390i	−0.564270	+	0.171169i	−0.00475360	+	0.999989i	$0.501513\pi$
$648$	−5.00710	+	11.8240i	−0.196697	+	0.464490i
$649$	5.58670	+	10.4520i	0.219297	+	0.410276i
$650$	−14.6066	−	10.8926i	−0.572919	−	0.427241i
$651$	−0.0590035	−	0.397769i	−0.00231253	−	0.0155898i
$652$	−13.8975	+	22.9129i	−0.544268	+	0.897340i
$653$	27.0851	+	9.69121i	1.05992	+	0.379246i	0.808417	−	0.588610i	$-0.200325\pi$
$653$	27.0851	+	9.69121i	1.05992	+	0.379246i	0.251505	+	0.967856i	$0.419075\pi$
$654$	−3.66247	+	0.351018i	−0.143214	+	0.0137259i
$655$	−4.26326	+	21.4328i	−0.166579	+	0.837450i
$656$	−41.0672	+	3.60985i	−1.60341	+	0.140941i
$657$	3.24688	+	16.3232i	0.126673	+	0.636827i
$658$	11.0725	−	3.32710i	0.431652	−	0.129704i
$659$	−5.00836	+	5.52588i	−0.195098	+	0.215258i	−0.830642	−	0.556807i	$-0.812026\pi$
$659$	−5.00836	+	5.52588i	−0.195098	+	0.215258i	0.635543	+	0.772065i	$0.280776\pi$
$660$	−0.874075	+	1.82325i	−0.0340233	+	0.0709700i
$661$	38.4995	−	23.0757i	1.49746	−	0.897542i	0.497917	−	0.867224i	$-0.334098\pi$
$661$	38.4995	−	23.0757i	1.49746	−	0.897542i	0.999540	−	0.0303171i	$-0.00965172\pi$
$662$	2.42107	−	46.7764i	0.0940975	−	1.81802i
$663$	−1.25378	−	12.7299i	−0.0486929	−	0.494387i
$664$	−1.60969	−	6.64790i	−0.0624680	−	0.257989i
$665$	−4.76339	+	3.90921i	−0.184716	+	0.151593i
$666$	−6.15590	+	10.2096i	−0.238536	+	0.395615i
$667$	6.60260	+	7.28485i	0.255654	+	0.282070i
$668$	−10.9115	+	20.1587i	−0.422178	+	0.779963i
$669$	3.95377	−	2.93232i	0.152862	−	0.113370i
$670$	−3.43165	+	8.22361i	−0.132576	+	0.317706i
$671$	−2.42389	+	5.85180i	−0.0935734	+	0.225906i
$672$	5.92142	−	2.03146i	0.228424	−	0.0783653i
$673$	7.75757	+	18.7284i	0.299032	+	0.721928i	0.999962	+	0.00869762i	$0.00276857\pi$
$673$	7.75757	+	18.7284i	0.299032	+	0.721928i	−0.700930	+	0.713230i	$0.747231\pi$
$674$	27.4450	+	0.0720369i	1.05714	+	0.00277476i
$675$	14.6054	+	2.16650i	0.562161	+	0.0833887i
$676$	−1.75466	+	0.926074i	−0.0674868	+	0.0356182i
$677$	−14.8094	−	0.727541i	−0.569173	−	0.0279617i	−0.237553	−	0.971375i	$-0.576345\pi$
$677$	−14.8094	−	0.727541i	−0.569173	−	0.0279617i	−0.331620	+	0.943413i	$0.607595\pi$
$678$	−7.67308	+	5.65958i	−0.294683	+	0.217355i
$679$	16.4371	+	1.61891i	0.630797	+	0.0621281i
$680$	−16.2672	−	0.927608i	−0.623817	−	0.0355721i
$681$	−0.249935	−	0.205116i	−0.00957751	−	0.00786006i
$682$	−0.211503	−	0.596038i	−0.00809886	−	0.0228235i
$683$	16.0052	+	4.00910i	0.612422	+	0.153404i	0.536767	−	0.843730i	$-0.319645\pi$
$683$	16.0052	+	4.00910i	0.612422	+	0.153404i	0.0756549	+	0.997134i	$0.475895\pi$
$684$	10.5897	−	14.1230i	0.404906	−	0.540005i
$685$	0.832612	+	16.9482i	0.0318125	+	0.647557i
$686$	−2.53397	+	25.0535i	−0.0967475	+	0.956548i
$687$	2.53622	−	3.79573i	0.0967630	−	0.144816i
$688$	−13.7358	+	8.03812i	−0.523672	+	0.306450i
$689$	9.92077	+	14.8475i	0.377951	+	0.565644i
$690$	−1.84588	−	3.47532i	−0.0702716	−	0.132303i
$691$	−0.722236	−	1.52704i	−0.0274752	−	0.0580913i	0.889785	−	0.456380i	$-0.150854\pi$
$691$	−0.722236	−	1.52704i	−0.0274752	−	0.0580913i	−0.917260	+	0.398289i	$0.869604\pi$
$692$	−15.9111	−	5.78749i	−0.604850	−	0.220007i
$693$	−3.72994	−	2.76631i	−0.141689	−	0.105084i
$694$	18.6919	+	31.3720i	0.709535	+	1.19086i
$695$	0.671459	−	2.21350i	0.0254699	−	0.0839629i
$696$	5.23036	+	2.84886i	0.198256	+	0.107986i
$697$	24.7193	−	46.2466i	0.936310	−	1.75171i
$698$	−13.4385	−	28.6074i	−0.508655	−	1.08280i
$699$	−8.70176	+	3.11354i	−0.329131	+	0.117765i
$700$	6.25213	+	9.46415i	0.236308	+	0.357711i
$701$	18.0353	+	10.8099i	0.681182	+	0.408285i	0.812425	−	0.583065i	$-0.198147\pi$
$701$	18.0353	+	10.8099i	0.681182	+	0.408285i	−0.131243	+	0.991350i	$0.541897\pi$
$702$	−10.8545	+	16.1529i	−0.409676	+	0.609653i
$703$	8.59827	−	8.59827i	0.324290	−	0.324290i
$704$	8.52383	−	4.92821i	0.321254	−	0.185739i
$705$	−3.11306	−	3.11306i	−0.117245	−	0.117245i
$706$	−0.543525	+	0.106631i	−0.0204558	+	0.00401313i
$707$	−2.06281	+	3.44158i	−0.0775798	+	0.129434i
$708$	−13.7181	+	2.65391i	−0.515558	+	0.0997402i
$709$	1.40805	+	3.93524i	0.0528805	+	0.147791i	0.965080	−	0.261955i	$-0.0843673\pi$
$709$	1.40805	+	3.93524i	0.0528805	+	0.147791i	−0.912200	+	0.409746i	$0.865617\pi$
$710$	−19.4810	−	7.02815i	−0.731109	−	0.263762i
$711$	19.5579	+	10.4539i	0.733477	+	0.392052i
$712$	36.6593	−	3.31938i	1.37386	−	0.124399i
$713$	1.17788	+	0.357306i	0.0441119	+	0.0133812i
$714$	−1.95509	+	7.71915i	−0.0731675	+	0.288882i
$715$	2.87646	−	3.87846i	0.107574	−	0.145046i
$716$	4.84199	−	0.212399i	0.180954	−	0.00793771i
$717$	−0.000185778	0	8.78667e-5i	−6.93802e−6	0	3.28144e-6i
$718$	−1.15503	−	0.353686i	−0.0431052	−	0.0131995i
$719$	13.7608	−	9.19470i	0.513193	−	0.342904i	−0.271856	−	0.962338i	$-0.587638\pi$
$719$	13.7608	−	9.19470i	0.513193	−	0.342904i	0.785049	+	0.619433i	$0.212638\pi$
$720$	8.22125	+	7.61004i	0.306388	+	0.283609i
$721$	−17.0878	−	11.4177i	−0.636384	−	0.425218i
$722$	6.86799	−	5.60631i	0.255600	−	0.208645i
$723$	4.10608	−	0.201719i	0.152707	−	0.00750201i
$724$	−26.8593	+	15.9078i	−0.998217	+	0.591208i
$725$	−2.62211	+	10.4680i	−0.0973826	+	0.388773i
$726$	−8.78677	−	4.18409i	−0.326108	−	0.155286i
$727$	1.31470	−	1.60197i	0.0487595	−	0.0594136i	−0.748060	−	0.663631i	$-0.769014\pi$
$727$	1.31470	−	1.60197i	0.0487595	−	0.0594136i	0.796819	+	0.604218i	$0.206514\pi$
$728$	−14.8053	+	2.07715i	−0.548721	+	0.0769843i
$729$	−0.253517	+	2.57400i	−0.00938952	+	0.0953334i
$730$	10.6522	+	1.60870i	0.394257	+	0.0595405i
$731$	0.993303	−	20.2192i	0.0367386	−	0.747832i
$732$	−5.74755	−	4.76761i	−0.212436	−	0.176216i
$733$	−4.97476	+	33.5371i	−0.183747	+	1.23872i	0.679400	+	0.733768i	$0.262240\pi$
$733$	−4.97476	+	33.5371i	−0.183747	+	1.23872i	−0.863147	+	0.504953i	$0.831510\pi$
$734$	29.6207	−	29.4656i	1.09332	−	1.08759i
$735$	3.54658	−	1.46904i	0.130818	−	0.0541864i
$736$	−2.12833	+	19.0437i	−0.0784513	+	0.701959i
$737$	6.32792	+	2.62111i	0.233092	+	0.0965499i
$738$	−33.3460	+	13.7099i	−1.22748	+	0.504669i
$739$	−28.4790	−	38.3994i	−1.04762	−	1.41255i	−0.906326	−	0.422578i	$-0.861125\pi$
$739$	−28.4790	−	38.3994i	−1.04762	−	1.41255i	−0.141289	−	0.989968i	$-0.545125\pi$
$740$	4.86428	+	5.99100i	0.178814	+	0.220233i
$741$	6.64659	−	6.02412i	0.244168	−	0.221301i
$742$	−2.67271	−	10.7901i	−0.0981181	−	0.396118i
$743$	−21.3949	−	26.0698i	−0.784903	−	0.956407i	0.214893	−	0.976638i	$-0.431060\pi$
$743$	−21.3949	−	26.0698i	−0.784903	−	0.956407i	−0.999795	+	0.0202311i	$0.993560\pi$
$744$	0.745011	−	0.0307216i	0.0273134	−	0.00112631i
$745$	−19.2203	+	1.89303i	−0.704177	+	0.0693554i
$746$	−37.8075	+	34.0864i	−1.38423	+	1.24799i
$747$	−3.07537	−	5.13095i	−0.112522	−	0.187731i
$748$	−0.680178	+	12.5055i	−0.0248698	+	0.457245i
$749$	−14.2699	−	12.9335i	−0.521410	−	0.472579i
$750$	4.79755	−	8.91920i	0.175182	−	0.325683i
$751$	−46.4790	+	9.24526i	−1.69604	+	0.337364i	−0.946035	−	0.324063i	$-0.894951\pi$
$751$	−46.4790	+	9.24526i	−1.69604	+	0.337364i	−0.750009	+	0.661427i	$0.769951\pi$
$752$	3.96144	+	21.0692i	0.144459	+	0.768315i
$753$	−20.5790	−	4.09343i	−0.749942	−	0.149173i
$754$	−10.9713	−	9.05218i	−0.399550	−	0.329661i
$755$	6.27650	−	17.5417i	0.228425	−	0.638406i
$756$	9.76851	−	7.16564i	0.355277	−	0.260612i
$757$	24.0270	−	3.56406i	0.873275	−	0.129538i	0.304976	−	0.952360i	$-0.401352\pi$
$757$	24.0270	−	3.56406i	0.873275	−	0.129538i	0.568299	+	0.822822i	$0.307602\pi$
$758$	−49.1706	+	7.16192i	−1.78596	+	0.260133i
$759$	−2.66754	+	1.42583i	−0.0968257	+	0.0517544i
$760$	−6.27310	−	9.55031i	−0.227549	−	0.346426i
$761$	6.08393	+	20.0560i	0.220542	+	0.727030i	0.995478	+	0.0949903i	$0.0302820\pi$
$761$	6.08393	+	20.0560i	0.220542	+	0.727030i	−0.774936	+	0.632040i	$0.782218\pi$
$762$	5.33250	−	5.85256i	0.193176	−	0.212016i
$763$	−4.94465	−	2.33865i	−0.179009	−	0.0846647i
$764$	15.3795	+	37.6878i	0.556412	+	1.36350i
$765$	−13.8227	+	3.46241i	−0.499761	+	0.125184i
$766$	−27.5849	+	18.3271i	−0.996683	+	0.662185i
$767$	33.3684			1.20486
$768$	2.58350	+	11.3170i	0.0932240	+	0.408367i
$769$	−39.3755			−1.41992			−0.709958	−	0.704244i	$-0.751286\pi$
$769$	−39.3755			−1.41992			−0.709958	+	0.704244i	$0.751286\pi$
$770$	−2.50373	+	1.66345i	−0.0902282	+	0.0599466i
$771$	−2.79824	+	0.700923i	−0.100776	+	0.0252431i
$772$	12.7011	−	5.18304i	0.457124	−	0.186542i
$773$	3.90258	+	1.84578i	0.140366	+	0.0663882i	0.496448	−	0.868067i	$-0.334637\pi$
$773$	3.90258	+	1.84578i	0.140366	+	0.0663882i	−0.356082	+	0.934455i	$0.615887\pi$
$774$	−9.37417	+	10.2884i	−0.336948	+	0.369809i
$775$	0.392183	+	1.29285i	0.0140876	+	0.0464407i
$776$	−6.21125	+	29.9899i	−0.222971	+	1.07657i
$777$	3.32611	−	1.77784i	0.119324	−	0.0637798i
$778$	35.9481	−	5.23601i	1.28880	−	0.187720i
$779$	36.3758	−	5.39584i	1.30330	−	0.193326i
$780$	3.36722	+	4.59034i	0.120566	+	0.164361i
$781$	−5.36282	+	14.9881i	−0.191897	+	0.536315i
$782$	−18.8008	−	15.5122i	−0.672316	−	0.554715i
$783$	11.3045	+	2.24861i	0.403990	+	0.0803587i
$784$	−18.2947	−	3.83915i	−0.653383	−	0.137112i
$785$	−11.4487	+	2.27728i	−0.408620	+	0.0812796i
$786$	−9.38095	+	17.4403i	−0.334608	+	0.622074i
$787$	−4.40553	−	3.99294i	−0.157040	−	0.142333i	0.589257	−	0.807945i	$-0.299420\pi$
$787$	−4.40553	−	3.99294i	−0.157040	−	0.142333i	−0.746298	+	0.665612i	$0.768170\pi$
$788$	−23.7631	−	1.29248i	−0.846525	−	0.0460429i
$789$	4.75130	+	7.92706i	0.169151	+	0.282211i
$790$	10.6615	−	9.61218i	0.379320	−	0.341986i
$791$	−14.1064	+	1.38936i	−0.501565	+	0.0493998i
$792$	5.83280	−	6.33453i	0.207259	−	0.225088i
$793$	11.3136	+	13.7856i	0.401757	+	0.489542i
$794$	9.47247	+	38.2418i	0.336165	+	1.35715i
$795$	−3.13640	+	2.84267i	−0.111237	+	0.100819i
$796$	36.2800	−	29.4569i	1.28591	−	1.04407i
$797$	24.2956	+	32.7588i	0.860595	+	1.16038i	0.985746	+	0.168240i	$0.0538085\pi$
$797$	24.2956	+	32.7588i	0.860595	+	1.16038i	−0.125151	+	0.992138i	$0.539942\pi$
$798$	−5.16470	+	2.12342i	−0.182828	+	0.0751684i
$799$	−25.1936	−	10.4355i	−0.891286	−	0.369183i
$800$	−18.6777	+	9.67046i	−0.660357	+	0.341903i
$801$	29.7415	−	12.3194i	1.05087	−	0.435283i
$802$	−15.7043	+	15.6220i	−0.554537	+	0.551634i
$803$	1.21502	−	8.19099i	0.0428770	−	0.289054i
$804$	−5.15551	+	6.21519i	−0.181821	+	0.219193i
$805$	0.287055	−	5.84315i	0.0101174	−	0.205944i
$806$	−1.76075	−	0.265908i	−0.0620197	−	0.00936619i
$807$	−0.171951	+	1.74585i	−0.00605297	+	0.0614568i
$808$	−5.94092	−	4.47903i	−0.209001	−	0.157572i
$809$	24.8005	−	30.2195i	0.871939	−	1.06246i	−0.125581	−	0.992083i	$-0.540079\pi$
$809$	24.8005	−	30.2195i	0.871939	−	1.06246i	0.997520	−	0.0703780i	$-0.0224205\pi$
$810$	6.56300	+	3.12517i	0.230600	+	0.109807i
$811$	−1.76097	+	7.03017i	−0.0618359	+	0.246863i	−0.993064	−	0.117574i	$-0.962488\pi$
$811$	−1.76097	+	7.03017i	−0.0618359	+	0.246863i	0.931228	+	0.364436i	$0.118738\pi$
$812$	4.51215	+	7.61847i	0.158345	+	0.267356i
$813$	−8.29377	+	0.407447i	−0.290875	+	0.0142898i
$814$	4.59511	−	3.75097i	0.161058	−	0.131471i
$815$	12.6139	+	8.42836i	0.441847	+	0.295232i
$816$	−13.8493	−	5.12000i	−0.484822	−	0.179236i
$817$	11.8038	−	7.88704i	0.412962	−	0.275933i
$818$	−34.3791	−	10.5274i	−1.20204	−	0.368082i
$819$	−11.8196	+	5.59028i	−0.413012	+	0.195340i
$820$	1.02276	+	23.3157i	0.0357165	+	0.814218i
$821$	16.7649	−	22.6049i	0.585100	−	0.788915i	−0.407125	−	0.913372i	$-0.633469\pi$
$821$	16.7649	−	22.6049i	0.585100	−	0.788915i	0.992225	+	0.124457i	$0.0397188\pi$
$822$	−3.77548	+	14.9065i	−0.131685	+	0.519923i
$823$	−14.2534	−	4.32371i	−0.496841	−	0.150715i	0.0319122	−	0.999491i	$-0.489840\pi$
$823$	−14.2534	−	4.32371i	−0.496841	−	0.150715i	−0.528753	+	0.848776i	$0.677340\pi$
$824$	24.4066	−	29.2666i	0.850245	−	1.01955i
$825$	−2.92793	−	1.56501i	−0.101937	−	0.0544867i
$826$	−19.5397	−	7.04931i	−0.679871	−	0.245277i
$827$	7.89740	+	22.0718i	0.274619	+	0.767510i	0.997099	+	0.0761176i	$0.0242524\pi$
$827$	7.89740	+	22.0718i	0.274619	+	0.767510i	−0.722479	+	0.691392i	$0.756998\pi$
$828$	3.18311	+	16.4535i	0.110621	+	0.571799i
$829$	−6.26377	+	10.4505i	−0.217550	+	0.362960i	−0.947085	−	0.320984i	$-0.895987\pi$
$829$	−6.26377	+	10.4505i	−0.217550	+	0.362960i	0.729535	+	0.683943i	$0.239737\pi$
$830$	−3.79974	+	0.745453i	−0.131891	+	0.0258751i
$831$	−7.73919	−	7.73919i	−0.268470	−	0.268470i
$832$	−0.924048	−	27.7066i	−0.0320356	−	0.960554i
$833$	16.8132	−	16.8132i	0.582544	−	0.582544i
$834$	1.16913	−	1.73983i	0.0404838	−	0.0602454i
$835$	11.1303	+	6.67125i	0.385180	+	0.230868i
$836$	−7.32809	+	4.84102i	−0.253447	+	0.167430i
$837$	1.35864	−	0.486128i	0.0469614	−	0.0168030i
$838$	−21.6574	−	46.1034i	−0.748142	−	1.59262i
$839$	8.17047	−	15.2859i	0.282076	−	0.527727i	−0.700485	−	0.713667i	$-0.747033\pi$
$839$	8.17047	−	15.2859i	0.282076	−	0.527727i	0.982561	+	0.185940i	$0.0595331\pi$
$840$	−1.00202	−	3.39933i	−0.0345728	−	0.117288i
$841$	5.97290	−	19.6900i	0.205962	−	0.678965i
$842$	10.9867	+	18.4397i	0.378625	+	0.635475i
$843$	4.31518	+	3.20036i	0.148623	+	0.110226i
$844$	−5.97388	+	16.4235i	−0.205629	+	0.565322i
$845$	0.480222	+	1.01534i	0.0165201	+	0.0349289i
$846$	8.79489	+	16.5585i	0.302374	+	0.569292i
$847$	−8.03820	−	12.0300i	−0.276196	−	0.413356i
$848$	20.4201	−	2.81025i	0.701228	−	0.0965046i
$849$	8.06525	−	12.0705i	0.276799	−	0.414258i
$850$	2.69216	−	26.6175i	0.0923403	−	0.912974i
$851$	0.566449	+	11.5303i	0.0194176	+	0.395255i
$852$	−15.0154	−	11.2588i	−0.514419	−	0.385721i
$853$	−42.5000	−	10.6457i	−1.45517	−	0.364502i	−0.566888	−	0.823795i	$-0.691853\pi$
$853$	−42.5000	−	10.6457i	−1.45517	−	0.364502i	−0.888285	+	0.459293i	$0.848103\pi$
$854$	−3.71262	−	10.4626i	−0.127043	−	0.358022i
$855$	−7.72470	−	6.33950i	−0.264179	−	0.216806i
$856$	26.6483	−	23.7731i	0.910822	−	0.812549i
$857$	−9.70450	−	0.955810i	−0.331500	−	0.0326499i	−0.0691017	−	0.997610i	$-0.522013\pi$
$857$	−9.70450	−	0.955810i	−0.331500	−	0.0326499i	−0.262398	+	0.964960i	$0.584513\pi$
$858$	3.52153	−	2.59744i	0.120223	−	0.0886753i
$859$	56.3539	+	2.76849i	1.92277	+	0.0944597i	0.974689	−	0.223566i	$-0.0717698\pi$
$859$	56.3539	+	2.76849i	1.92277	+	0.0944597i	0.948082	+	0.318026i	$0.103020\pi$
$860$	4.20529	+	7.96788i	0.143399	+	0.271702i
$861$	11.2822	+	1.67355i	0.384496	+	0.0570346i
$862$	−52.1772	−	0.136953i	−1.77716	−	0.00466464i
$863$	7.36729	+	17.7862i	0.250786	+	0.605450i	0.998268	−	0.0588317i	$-0.0187375\pi$
$863$	7.36729	+	17.7862i	0.250786	+	0.605450i	−0.747482	+	0.664282i	$0.768738\pi$
$864$	11.2951	+	19.4182i	0.384268	+	0.660621i
$865$	−3.66793	+	8.85516i	−0.124713	+	0.301085i
$866$	−10.2177	+	24.4857i	−0.347211	+	0.832058i
$867$	5.17890	−	3.84094i	0.175885	−	0.130445i
$868$	0.974873	+	0.527679i	0.0330894	+	0.0179106i
$869$	−7.40982	−	8.17548i	−0.251361	−	0.277334i
$870$	1.74097	−	2.88742i	0.0590244	−	0.0978927i
$871$	14.9073	−	12.2341i	0.505114	−	0.414536i
$872$	5.28266	−	8.65823i	0.178893	−	0.293205i
$873$	2.62536	+	26.6557i	0.0888549	+	0.902159i
$874$	0.883522	−	17.0701i	0.0298856	−	0.577406i
$875$	12.9143	−	7.74052i	0.436582	−	0.261677i
$876$	8.80328	+	4.22033i	0.297435	+	0.142592i
$877$	−33.9794	+	37.4905i	−1.14740	+	1.26596i	−0.188548	+	0.982064i	$0.560378\pi$
$877$	−33.9794	+	37.4905i	−1.14740	+	1.26596i	−0.958854	+	0.283900i	$0.908372\pi$
$878$	−15.0355	+	4.51792i	−0.507425	+	0.152472i
$879$	−4.23735	−	21.3026i	−0.142922	−	0.718519i
$880$	−2.57575	−	4.94303i	−0.0868285	−	0.166629i
$881$	−6.22563	+	31.2984i	−0.209747	+	1.05447i	0.722147	+	0.691739i	$0.243155\pi$
$881$	−6.22563	+	31.2984i	−0.209747	+	1.05447i	−0.931894	+	0.362730i	$0.881845\pi$
$882$	−16.2738	+	1.55971i	−0.547967	+	0.0525182i
$883$	45.9241	+	16.4319i	1.54547	+	0.552978i	0.965215	−	0.261457i	$-0.0842028\pi$
$883$	45.9241	+	16.4319i	1.54547	+	0.552978i	0.580255	+	0.814435i	$0.302953\pi$
$884$	30.1497	+	18.2869i	1.01404	+	0.615053i
$885$	1.16062	+	7.82429i	0.0390140	+	0.263011i
$886$	7.66007	+	5.71232i	0.257345	+	0.191909i
$887$	−20.6273	−	38.5909i	−0.692596	−	1.29576i	−0.944662	−	0.328046i	$-0.893610\pi$
$887$	−20.6273	−	38.5909i	−0.692596	−	1.29576i	0.252065	−	0.967710i	$-0.418890\pi$
$888$	2.62526	+	6.48183i	0.0880979	+	0.217516i
$889$	11.2639	−	3.41688i	0.377780	−	0.114598i
$890$	−0.967839	−	20.8155i	−0.0324420	−	0.697737i
$891$	2.38889	−	5.05089i	0.0800309	−	0.169211i
$892$	−0.0712343	+	13.5695i	−0.00238510	+	0.454342i
$893$	−4.64659	−	18.5502i	−0.155492	−	0.620760i
$894$	−17.1566	−	3.45949i	−0.573802	−	0.115703i
$895$		−	2.74372i		−	0.0917125i
$896$	−5.31212	+	16.4195i	−0.177465	+	0.548536i
$897$			8.51626i			0.284350i
$898$	7.67163	−	38.0457i	0.256006	−	1.26960i
$899$	0.256256	+	1.02303i	0.00854663	+	0.0341200i
$900$	−13.0749	+	12.9384i	−0.435831	+	0.431279i
$901$	−11.2100	+	23.7016i	−0.373460	+	0.789615i
$902$	17.9193	−	0.833177i	0.596647	−	0.0277418i
$903$	4.21348	−	1.27815i	0.140216	−	0.0425340i
$904$	0.206963	−	26.2829i	0.00688349	−	0.874155i
$905$	8.33050	+	15.5853i	0.276915	+	0.518072i
$906$	10.0930	−	13.5344i	0.335316	−	0.449650i
$907$	0.471229	+	3.17677i	0.0156469	+	0.105483i	0.995593	−	0.0937803i	$-0.0298951\pi$
$907$	0.471229	+	3.17677i	0.0156469	+	0.105483i	−0.979946	+	0.199263i	$0.936145\pi$
$908$	0.865723	−	0.212029i	0.0287300	−	0.00703642i
$909$	−6.12654	−	2.19211i	−0.203204	−	0.0727077i
$910$	0.807455	+	8.42487i	0.0267669	+	0.279282i
$911$	−6.12852	+	30.8101i	−0.203047	+	1.02079i	0.735996	+	0.676986i	$0.236714\pi$
$911$	−6.12852	+	30.8101i	−0.203047	+	1.02079i	−0.939043	+	0.343800i	$0.888286\pi$
$912$	−2.90159	−	9.93977i	−0.0960813	−	0.329139i
$913$	0.580651	+	2.91913i	0.0192167	+	0.0966091i
$914$	8.10013	+	26.9571i	0.267929	+	0.891661i
$915$	−2.83897	+	3.13232i	−0.0938535	+	0.103551i
$916$	4.17733	+	11.8710i	0.138023	+	0.392227i
$917$	−25.2521	+	15.1355i	−0.833897	+	0.499819i
$918$	−28.5362	−	1.47698i	−0.941834	−	0.0487477i
$919$	−5.07586	−	51.5361i	−0.167437	−	1.70002i	−0.601287	−	0.799033i	$-0.705345\pi$
$919$	−5.07586	−	51.5361i	−0.167437	−	1.70002i	0.433849	−	0.900985i	$-0.357155\pi$
$920$	10.7176	+	1.67616i	0.353349	+	0.0552613i
$921$	10.0754	−	8.26863i	0.331994	−	0.272461i
$922$	41.6923	+	25.1384i	1.37306	+	0.827888i
$923$	30.0993	+	33.2094i	0.990729	+	1.09310i
$924$	−2.61084	+	0.777047i	−0.0858904	+	0.0255630i
$925$	−10.1775	+	7.54816i	−0.334635	+	0.248182i
$926$	41.5774	+	17.3499i	1.36632	+	0.570154i
$927$	12.7540	−	30.7909i	0.418896	−	1.01130i
$928$	−14.9330	+	6.82444i	−0.490201	+	0.224023i
$929$	15.1223	+	36.5086i	0.496148	+	1.19781i	0.951542	+	0.307517i	$0.0994982\pi$
$929$	15.1223	+	36.5086i	0.496148	+	1.19781i	−0.455395	+	0.890290i	$0.650502\pi$
$930$	0.00110795	−	0.422113i	3.63311e−5	−	0.0138416i
$931$	16.4941	+	2.44667i	0.540573	+	0.0801864i
$932$	7.52357	−	24.3411i	0.246443	−	0.797321i
$933$	3.62861	+	0.178262i	0.118795	+	0.00583605i
$934$	−14.4570	−	19.6003i	−0.473048	−	0.641342i
$935$	7.05575	+	0.694931i	0.230748	+	0.0227267i
$936$	−7.98778	−	22.8910i	−0.261089	−	0.748216i
$937$	9.85278	+	8.08597i	0.321876	+	0.264157i	0.781430	−	0.623993i	$-0.214491\pi$
$937$	9.85278	+	8.08597i	0.321876	+	0.264157i	−0.459554	+	0.888150i	$0.651991\pi$
$938$	−11.3138	+	4.01469i	−0.369410	+	0.131084i
$939$	2.04384	+	0.511956i	0.0666983	+	0.0167071i
$940$	12.0142	−	1.71774i	0.391861	−	0.0560264i
$941$	2.90573	+	59.1476i	0.0947242	+	1.92816i	0.308410	+	0.951254i	$0.400203\pi$
$941$	2.90573	+	59.1476i	0.0947242	+	1.92816i	−0.213686	+	0.976902i	$0.568547\pi$
$942$	−10.5245	−	1.06447i	−0.342905	−	0.0346822i
$943$	−19.3962	+	29.0285i	−0.631628	+	0.945298i
$944$	16.8331	−	34.6448i	0.547871	−	1.12759i
$945$	−3.81027	−	5.70248i	−0.123948	−	0.185502i
$946$	6.11595	−	3.24843i	0.198847	−	0.105616i
$947$	−9.35466	−	19.7788i	−0.303985	−	0.642723i	0.692947	−	0.720988i	$-0.256312\pi$
$947$	−9.35466	−	19.7788i	−0.303985	−	0.642723i	−0.996933	+	0.0782651i	$0.975062\pi$
$948$	11.7886	−	5.50005i	0.382876	−	0.178633i
$949$	−18.7265	−	13.8885i	−0.607888	−	0.450841i
$950$	16.1175	−	9.60305i	0.522921	−	0.311564i
$951$	5.45955	−	17.9977i	0.177038	−	0.583617i
$952$	−13.7916	−	17.0776i	−0.446990	−	0.553489i
$953$	24.3875	−	45.6259i	0.789990	−	1.47797i	−0.0863448	−	0.996265i	$-0.527519\pi$
$953$	24.3875	−	45.6259i	0.789990	−	1.47797i	0.876335	−	0.481702i	$-0.159981\pi$
$954$	16.3164	−	7.66472i	0.528262	−	0.248154i
$955$	21.6964	−	7.76309i	0.702079	−	0.251208i
$956$	0.000113439	0	0.000555052i	3.66888e−6	0	1.79517e-5i
$957$	−2.22290	−	1.33235i	−0.0718561	−	0.0430689i
$958$	−35.8460	−	24.0879i	−1.15813	−	0.778244i
$959$	−16.1649	+	16.1649i	−0.521993	+	0.521993i
$960$	6.46457	−	1.18037i	0.208643	−	0.0380962i
$961$	−21.8269	−	21.8269i	−0.704095	−	0.704095i
$962$	−3.21521	−	16.3886i	−0.103663	−	0.528391i
$963$	16.0563	−	26.7884i	0.517408	−	0.863244i
$964$	−6.34557	+	9.38973i	−0.204377	+	0.302423i
$965$	−2.61623	−	7.31189i	−0.0842196	−	0.235378i
$966$	1.79912	−	4.98689i	0.0578857	−	0.160451i
$967$	−34.0828	−	18.2176i	−1.09603	−	0.585840i	−0.178674	−	0.983908i	$-0.557181\pi$
$967$	−34.0828	−	18.2176i	−1.09603	−	0.585840i	−0.917356	+	0.398068i	$0.869681\pi$
$968$	23.7594	−	12.4601i	0.763655	−	0.400483i
$969$	12.6038	+	3.82333i	0.404893	+	0.122823i
$970$	16.8071	+	4.25687i	0.539643	+	0.136680i
$971$	7.34212	−	9.89971i	0.235620	−	0.317697i	−0.669533	−	0.742782i	$-0.733506\pi$
$971$	7.34212	−	9.89971i	0.235620	−	0.317697i	0.905153	+	0.425085i	$0.139756\pi$
$972$	22.4280	+	20.5430i	0.719379	+	0.658918i
$973$	2.81709	−	1.33238i	0.0903117	−	0.0427142i
$974$	2.17771	−	7.11171i	0.0697784	−	0.227874i
$975$	−7.77220	+	5.19322i	−0.248910	+	0.166316i
$976$	20.0202	−	4.79200i	0.640831	−	0.153388i
$977$	−10.3809	−	6.93633i	−0.332116	−	0.221913i	0.378320	−	0.925675i	$-0.376502\pi$
$977$	−10.3809	−	6.93633i	−0.332116	−	0.221913i	−0.710436	+	0.703762i	$0.751502\pi$
$978$	8.69358	+	10.6500i	0.277990	+	0.340551i
$979$	−15.9977	+	0.785915i	−0.511288	+	0.0251180i
$980$	−2.62515	+	10.2516i	−0.0838574	+	0.327474i
$981$	2.15531	−	8.60447i	0.0688137	−	0.274720i
$982$	−20.9431	+	43.9813i	−0.668320	+	1.40350i
$983$	37.8655	−	46.1392i	1.20772	−	1.47161i	0.366935	−	0.930246i	$-0.380407\pi$
$983$	37.8655	−	46.1392i	1.20772	−	1.47161i	0.840787	−	0.541367i	$-0.182093\pi$
$984$	−5.30022	+	20.4743i	−0.168965	+	0.652697i
$985$	−1.32052	+	13.4075i	−0.0420752	+	0.427197i
$986$	3.11856	−	20.6500i	0.0993151	−	0.657631i
$987$	0.291032	−	5.92409i	0.00926364	−	0.188566i
$988$	2.29459	+	24.6217i	0.0730006	+	0.783322i
$989$	−1.97758	+	13.3318i	−0.0628835	+	0.423926i
$990$	−3.43787	−	3.45597i	−0.109263	−	0.109838i
$991$	−45.8539	+	18.9933i	−1.45660	+	0.603342i	−0.963758	−	0.266779i	$-0.914041\pi$
$991$	−45.8539	+	18.9933i	−1.45660	+	0.603342i	−0.492839	+	0.870121i	$0.664041\pi$
$992$	−1.16431	+	1.69396i	−0.0369669	+	0.0537833i
$993$	−22.1999	−	9.19549i	−0.704492	−	0.291810i
$994$	−10.6096	−	25.8052i	−0.336516	−	0.818492i
$995$	−15.7597	−	21.2494i	−0.499615	−	0.673652i
$996$	−3.49025	−	0.362270i	−0.110593	−	0.0114790i
$997$	−17.3103	+	15.6891i	−0.548222	+	0.496879i	−0.898025	−	0.439944i	$-0.854998\pi$
$997$	−17.3103	+	15.6891i	−0.548222	+	0.496879i	0.349804	+	0.936823i	$0.386248\pi$
$998$	50.8521	−	12.5960i	1.60969	−	0.398720i
$999$	8.58561	+	10.4616i	0.271637	+	0.330990i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	256.2.m.a.101.23	✓	992
256.109	even	64	inner	256.2.m.a.109.23	yes	992

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
256.2.m.a.101.23	✓	992	1.1	even	1	trivial
256.2.m.a.109.23	yes	992	256.109	even	64	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 256 = 2^{8} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	256.m (of order \(64\), degree \(32\), minimal)

\(f(q)\)	\(=\)	\(q+(0.782606 + 1.17793i) q^{2} +(0.703766 - 0.176284i) q^{3} +(-0.775056 + 1.84372i) q^{4} +(1.02351 + 0.484084i) q^{5} +(0.758422 + 0.691029i) q^{6} +(0.442787 + 1.45967i) q^{7} +(-2.77834 + 0.529938i) q^{8} +(-2.18155 + 1.16606i) q^{9} +(0.230786 + 1.58447i) q^{10} +(1.21742 - 0.180588i) q^{11} +(-0.220440 + 1.43417i) q^{12} +(1.16741 - 3.26269i) q^{13} +(-1.37287 + 1.66392i) q^{14} +(0.805647 + 0.160253i) q^{15} +(-2.79858 - 2.85797i) q^{16} +(4.99019 - 0.992610i) q^{17} +(-3.08084 - 1.65716i) q^{18} +(2.64376 + 2.39616i) q^{19} +(-1.68579 + 1.51187i) q^{20} +(0.568935 + 0.949211i) q^{21} +(1.16548 + 1.29272i) q^{22} +(-3.37113 + 0.332027i) q^{23} +(-1.86188 + 0.862729i) q^{24} +(-2.35873 - 2.87412i) q^{25} +(4.75685 - 1.17827i) q^{26} +(-2.94244 + 2.66687i) q^{27} +(-3.03440 - 0.314955i) q^{28} +(-1.72897 - 2.33124i) q^{29} +(0.441737 + 1.07441i) q^{30} +(-0.335706 - 0.139054i) q^{31} +(1.17631 - 5.53320i) q^{32} +(0.824947 - 0.341704i) q^{33} +(5.07458 + 5.10129i) q^{34} +(-0.253407 + 1.70833i) q^{35} +(-0.459065 - 4.92593i) q^{36} +(0.167221 - 3.40385i) q^{37} +(-0.753500 + 4.98942i) q^{38} +(0.246422 - 2.50196i) q^{39} +(-3.10019 - 0.802552i) q^{40} +(6.53831 - 7.96695i) q^{41} +(-0.672856 + 1.41303i) q^{42} +(0.966750 - 3.85948i) q^{43} +(-0.610619 + 2.38455i) q^{44} +(-2.79731 + 0.137423i) q^{45} +(-3.02937 - 3.71112i) q^{46} +(-4.45634 - 2.97763i) q^{47} +(-2.47336 - 1.51799i) q^{48} +(3.88571 - 2.59635i) q^{49} +(1.53957 - 5.02774i) q^{50} +(3.33694 - 1.57826i) q^{51} +(5.11066 + 4.68114i) q^{52} +(-3.06972 + 4.13904i) q^{53} +(-5.44418 - 1.37889i) q^{54} +(1.33346 + 0.404502i) q^{55} +(-2.00375 - 3.82081i) q^{56} +(2.28299 + 1.22028i) q^{57} +(1.39295 - 3.86105i) q^{58} +(3.24406 + 9.06653i) q^{59} +(-0.919883 + 1.36118i) q^{60} +(-2.64579 + 4.41424i) q^{61} +(-0.0989292 - 0.504265i) q^{62} +(-2.66803 - 2.66803i) q^{63} +(7.43833 - 2.94469i) q^{64} +(2.77427 - 2.77427i) q^{65} +(1.04811 + 0.704313i) q^{66} +(4.77340 + 2.86107i) q^{67} +(-2.03759 + 9.96982i) q^{68} +(-2.31395 + 0.827946i) q^{69} +(-2.21062 + 1.03845i) q^{70} +(-6.09710 + 11.4069i) q^{71} +(5.44315 - 4.39581i) q^{72} +(1.95307 - 6.43842i) q^{73} +(4.14038 - 2.46690i) q^{74} +(-2.16666 - 1.60690i) q^{75} +(-6.46690 + 3.01718i) q^{76} +(0.802658 + 1.69708i) q^{77} +(3.14000 - 1.66778i) q^{78} +(-4.98075 - 7.45421i) q^{79} +(-1.48087 - 4.27990i) q^{80} +(2.52218 - 3.77470i) q^{81} +(14.5015 + 1.46671i) q^{82} +(0.118661 + 2.41539i) q^{83} +(-2.19103 + 0.313263i) q^{84} +(5.58801 + 1.39972i) q^{85} +(5.30280 - 1.88169i) q^{86} +(-1.62775 - 1.33586i) q^{87} +(-3.28672 + 1.14689i) q^{88} +(-12.9514 - 1.27560i) q^{89} +(-2.35107 - 3.18750i) q^{90} +(5.27937 + 0.259359i) q^{91} +(2.00065 - 6.47274i) q^{92} +(-0.260772 - 0.0386818i) q^{93} +(0.0198947 - 7.57959i) q^{94} +(1.54597 + 3.73229i) q^{95} +(-0.147566 - 4.10144i) q^{96} +(4.14372 - 10.0038i) q^{97} +(6.09930 + 2.54519i) q^{98} +(-2.44530 + 1.81356i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9} - 32 q^{10} - 32 q^{11} - 32 q^{12} - 32 q^{13} - 32 q^{14} - 32 q^{15} - 32 q^{16} - 32 q^{17} - 32 q^{18}+ \cdots - 32 q^{99}+O(q^{100}) \) 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9 - 32 * q^10 - 32 * q^11 - 32 * q^12 - 32 * q^13 - 32 * q^14 - 32 * q^15 - 32 * q^16 - 32 * q^17 - 32 * q^18 - 32 * q^19 - 32 * q^20 - 32 * q^21 - 32 * q^22 - 32 * q^23 - 32 * q^24 - 32 * q^25 - 32 * q^26 - 32 * q^27 - 32 * q^28 - 32 * q^29 - 32 * q^30 - 32 * q^31 - 32 * q^32 - 32 * q^33 - 32 * q^34 - 32 * q^35 - 32 * q^36 - 32 * q^37 - 32 * q^38 - 32 * q^39 - 32 * q^40 - 32 * q^41 - 32 * q^42 - 32 * q^43 - 32 * q^44 - 32 * q^45 - 32 * q^46 - 32 * q^47 - 32 * q^48 - 32 * q^49 - 32 * q^50 - 32 * q^51 - 32 * q^52 - 32 * q^53 - 32 * q^54 - 32 * q^55 - 32 * q^56 - 32 * q^57 - 32 * q^58 - 32 * q^59 - 32 * q^60 - 32 * q^61 - 32 * q^62 - 32 * q^63 - 32 * q^64 - 32 * q^65 - 32 * q^66 - 32 * q^67 - 32 * q^68 - 32 * q^69 - 32 * q^70 - 32 * q^71 - 32 * q^72 - 32 * q^73 - 32 * q^74 - 32 * q^75 - 32 * q^76 - 32 * q^77 - 32 * q^78 - 32 * q^79 - 32 * q^80 - 32 * q^81 - 32 * q^82 - 32 * q^83 - 32 * q^84 - 32 * q^85 - 32 * q^86 - 32 * q^87 - 32 * q^88 - 32 * q^89 - 32 * q^90 - 32 * q^91 - 32 * q^92 - 32 * q^93 - 32 * q^94 - 32 * q^95 - 32 * q^96 - 32 * q^97 - 32 * q^98 - 32 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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