LMFDB - Embedded newform 243.2.i.a.103.6

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [243,2,Mod(4,243)] 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("243.4"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(243, base_ring=CyclotomicField(162)) chi = DirichletCharacter(H, H._module([2])) N = Newforms(chi, 2, names="a")

Level:	$N$	$=$	$243 = 3^{5}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	243.i (of order $81$ , degree $54$ , 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:	$1.94036476912$
Analytic rank:	$0$
Dimension:	$1404$
Relative dimension:	$26$ over $\Q(\zeta_{81})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{81}]$

Embedding invariants

Embedding label			103.6
Character	$\chi$	$=$	243.103
Dual form			243.2.i.a.151.6

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.83047 - 0.509546i) q^{2} +(1.22146 + 1.22802i) q^{3} +(1.37865 + 0.832017i) q^{4} +(3.83386 - 0.148771i) q^{5} +(-1.61012 - 2.87024i) q^{6} +(0.365157 + 0.0571095i) q^{7} +(0.508193 + 0.538653i) q^{8} +(-0.0160588 + 2.99996i) q^{9} +(-7.09357 - 1.68121i) q^{10} +(-0.814808 - 5.96545i) q^{11} +(0.662232 + 2.70928i) q^{12} +(-3.43162 + 5.00342i) q^{13} +(-0.639308 - 0.290601i) q^{14} +(4.86561 + 4.52633i) q^{15} +(-2.15666 - 4.09432i) q^{16} +(3.18666 - 1.60040i) q^{17} +(1.55801 - 5.48314i) q^{18} +(0.159287 + 2.73485i) q^{19} +(5.40932 + 2.98473i) q^{20} +(0.375894 + 0.518176i) q^{21} +(-1.54819 + 11.3348i) q^{22} +(-0.230565 + 0.597178i) q^{23} +(-0.0407373 + 1.28202i) q^{24} +(9.69140 - 0.753275i) q^{25} +(8.83094 - 7.41004i) q^{26} +(-3.70362 + 3.64461i) q^{27} +(0.455905 + 0.382550i) q^{28} +(0.792323 + 0.566318i) q^{29} +(-6.59998 - 10.7646i) q^{30} +(3.51822 - 4.03144i) q^{31} +(1.54790 + 7.14591i) q^{32} +(6.33043 - 8.28717i) q^{33} +(-6.64856 + 1.30573i) q^{34} +(1.40846 + 0.164625i) q^{35} +(-2.51815 + 4.12252i) q^{36} +(-3.14819 - 4.22875i) q^{37} +(1.10196 - 5.08722i) q^{38} +(-10.3359 + 1.89740i) q^{39} +(2.02848 + 1.98952i) q^{40} +(-0.857298 + 3.32824i) q^{41} +(-0.424027 - 1.14004i) q^{42} +(3.41495 + 3.09891i) q^{43} +(3.84002 - 8.90218i) q^{44} +(0.384740 + 11.5038i) q^{45} +(0.726332 - 0.975633i) q^{46} +(-2.84239 - 3.25702i) q^{47} +(2.39362 - 7.64947i) q^{48} +(-6.53566 - 2.09557i) q^{49} +(-18.1236 - 3.55936i) q^{50} +(5.85770 + 1.95845i) q^{51} +(-8.89391 + 4.04278i) q^{52} +(-0.566709 + 3.21397i) q^{53} +(8.63645 - 4.78419i) q^{54} +(-4.01135 - 22.7495i) q^{55} +(0.154808 + 0.225715i) q^{56} +(-3.16388 + 3.53612i) q^{57} +(-1.16176 - 1.44035i) q^{58} +(-1.88217 + 0.768951i) q^{59} +(2.94197 + 10.2885i) q^{60} +(-12.5244 + 7.55850i) q^{61} +(-8.49420 + 5.58672i) q^{62} +(-0.177190 + 1.09454i) q^{63} +(0.269642 - 4.62958i) q^{64} +(-12.4120 + 19.6929i) q^{65} +(-15.8103 + 11.9438i) q^{66} +(6.29045 - 4.49615i) q^{67} +(5.72483 + 0.444969i) q^{68} +(-1.01497 + 0.446293i) q^{69} +(-2.49425 - 1.01901i) q^{70} +(-2.46771 - 8.24271i) q^{71} +(-1.62410 + 1.51591i) q^{72} +(-6.59819 + 1.56380i) q^{73} +(3.60792 + 9.34473i) q^{74} +(12.7627 + 10.9811i) q^{75} +(-2.05584 + 3.90291i) q^{76} +(0.0431511 - 2.22486i) q^{77} +(19.8863 + 1.79347i) q^{78} +(2.56450 - 2.51525i) q^{79} +(-8.87745 - 15.3762i) q^{80} +(-8.99948 - 0.0963512i) q^{81} +(3.26515 - 5.65540i) q^{82} +(-3.79446 - 14.7310i) q^{83} +(0.0870928 + 1.02713i) q^{84} +(11.9791 - 6.60979i) q^{85} +(-4.67193 - 7.41253i) q^{86} +(0.272343 + 1.66472i) q^{87} +(2.79923 - 3.47050i) q^{88} +(1.54379 - 5.15662i) q^{89} +(5.15746 - 21.2534i) q^{90} +(-1.53882 + 1.63105i) q^{91} +(-0.814730 + 0.631463i) q^{92} +(9.24805 - 0.603805i) q^{93} +(3.54331 + 7.41019i) q^{94} +(1.01755 + 10.4613i) q^{95} +(-6.88461 + 10.6293i) q^{96} +(12.6536 + 0.491018i) q^{97} +(10.8955 + 7.16610i) q^{98} +(17.9092 - 2.34859i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$1404 q - 54 q^{2} - 54 q^{3} - 54 q^{4} - 54 q^{5} - 54 q^{6} - 54 q^{7} - 54 q^{8} - 54 q^{9} - 54 q^{10} - 54 q^{11} - 54 q^{12} - 54 q^{13} - 54 q^{14} - 54 q^{15} - 54 q^{16} - 54 q^{17} - 54 q^{18}+ \cdots + 54 q^{98}+O(q^{100})$ 1404 * q - 54 * q^2 - 54 * q^3 - 54 * q^4 - 54 * q^5 - 54 * q^6 - 54 * q^7 - 54 * q^8 - 54 * q^9 - 54 * q^10 - 54 * q^11 - 54 * q^12 - 54 * q^13 - 54 * q^14 - 54 * q^15 - 54 * q^16 - 54 * q^17 - 54 * q^18 - 54 * q^19 - 54 * q^20 - 54 * q^21 - 54 * q^22 - 54 * q^23 - 54 * q^24 - 54 * q^25 - 54 * q^26 - 54 * q^27 - 54 * q^28 - 54 * q^29 - 54 * q^30 - 54 * q^31 - 54 * q^32 - 54 * q^33 - 54 * q^34 - 54 * q^35 - 54 * q^36 - 54 * q^37 - 54 * q^38 - 54 * q^39 - 54 * q^40 - 54 * q^41 - 54 * q^42 - 54 * q^43 - 54 * q^44 - 54 * q^45 - 54 * q^46 - 54 * q^47 - 54 * q^48 - 54 * q^49 - 54 * q^50 - 54 * q^51 - 54 * q^52 - 54 * q^53 - 54 * q^54 - 54 * q^55 - 54 * q^56 - 54 * q^57 - 54 * q^58 - 54 * q^59 - 54 * q^60 - 54 * q^61 - 54 * q^62 - 54 * q^63 - 54 * q^64 + 54 * q^66 - 54 * q^67 + 135 * q^68 + 54 * q^69 - 54 * q^70 + 54 * q^71 + 270 * q^72 - 54 * q^73 + 162 * q^74 + 81 * q^75 - 54 * q^76 + 162 * q^77 + 162 * q^78 - 54 * q^79 + 351 * q^80 + 54 * q^81 - 27 * q^82 + 54 * q^83 + 324 * q^84 - 54 * q^85 + 162 * q^86 + 162 * q^87 - 54 * q^88 + 81 * q^89 + 162 * q^90 - 54 * q^91 + 270 * q^92 + 54 * q^93 - 54 * q^94 + 54 * q^95 + 135 * q^96 - 54 * q^97 + 54 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/243\mathbb{Z}\right)^\times$ .

$n$	$2$
$\chi(n)$	$e\left(\frac{7}{81}\right)$

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	−1.83047	−	0.509546i	−1.29434	−	0.360303i	−0.448518	−	0.893774i	$-0.648048\pi$
$2$	−1.83047	−	0.509546i	−1.29434	−	0.360303i	−0.845819	+	0.533470i	$0.820888\pi$
$3$	1.22146	+	1.22802i	0.705212	+	0.708997i
$3$	1.22146	+	1.22802i	0.705212	+	0.708997i
$4$	1.37865	+	0.832017i	0.689323	+	0.416008i
$5$	3.83386	−	0.148771i	1.71456	−	0.0665325i	0.837356	−	0.546659i	$-0.184100\pi$
$5$	3.83386	−	0.148771i	1.71456	−	0.0665325i	0.877199	+	0.480126i	$0.159409\pi$
$6$	−1.61012	−	2.87024i	−0.657328	−	1.17177i
$7$	0.365157	+	0.0571095i	0.138016	+	0.0215853i	0.223150	−	0.974784i	$-0.428366\pi$
$7$	0.365157	+	0.0571095i	0.138016	+	0.0215853i	−0.0851333	+	0.996370i	$0.527132\pi$
$8$	0.508193	+	0.538653i	0.179673	+	0.190443i
$9$	−0.0160588	+	2.99996i	−0.00535292	+	0.999986i
$10$	−7.09357	−	1.68121i	−2.24318	−	0.531644i
$11$	−0.814808	−	5.96545i	−0.245674	−	1.79865i	−0.538648	−	0.842531i	$-0.681065\pi$
$11$	−0.814808	−	5.96545i	−0.245674	−	1.79865i	0.292974	−	0.956120i	$-0.405355\pi$
$12$	0.662232	+	2.70928i	0.191170	+	0.782101i
$13$	−3.43162	+	5.00342i	−0.951759	+	1.38770i	−0.0301651	+	0.999545i	$0.509603\pi$
$13$	−3.43162	+	5.00342i	−0.951759	+	1.38770i	−0.921594	+	0.388154i	$0.873113\pi$
$14$	−0.639308	−	0.290601i	−0.170862	−	0.0776664i
$15$	4.86561	+	4.52633i	1.25630	+	1.16869i
$16$	−2.15666	−	4.09432i	−0.539165	−	1.02358i
$17$	3.18666	−	1.60040i	0.772878	−	0.388154i	−0.0182273	−	0.999834i	$-0.505802\pi$
$17$	3.18666	−	1.60040i	0.772878	−	0.388154i	0.791105	+	0.611680i	$0.209506\pi$
$18$	1.55801	−	5.48314i	0.367227	−	1.29239i
$19$	0.159287	+	2.73485i	0.0365429	+	0.627417i	0.966009	+	0.258509i	$0.0832312\pi$
$19$	0.159287	+	2.73485i	0.0365429	+	0.627417i	−0.929466	+	0.368908i	$0.879732\pi$
$20$	5.40932	+	2.98473i	1.20956	+	0.667407i
$21$	0.375894	+	0.518176i	0.0820267	+	0.113075i
$22$	−1.54819	+	11.3348i	−0.330075	+	2.41658i
$23$	−0.230565	+	0.597178i	−0.0480761	+	0.124520i	−0.954842	−	0.297115i	$-0.903976\pi$
$23$	−0.230565	+	0.597178i	−0.0480761	+	0.124520i	0.906766	+	0.421635i	$0.138544\pi$
$24$	−0.0407373	+	1.28202i	−0.00831547	+	0.261690i
$25$	9.69140	−	0.753275i	1.93828	−	0.150655i
$26$	8.83094	−	7.41004i	1.73189	−	1.45323i
$27$	−3.70362	+	3.64461i	−0.712762	+	0.701406i
$28$	0.455905	+	0.382550i	0.0861580	+	0.0722952i
$29$	0.792323	+	0.566318i	0.147131	+	0.105163i	0.652675	−	0.757638i	$-0.273647\pi$
$29$	0.792323	+	0.566318i	0.147131	+	0.105163i	−0.505545	+	0.862801i	$0.668708\pi$
$30$	−6.59998	−	10.7646i	−1.20499	−	1.96533i
$31$	3.51822	−	4.03144i	0.631891	−	0.724067i	−0.344809	−	0.938673i	$-0.612056\pi$
$31$	3.51822	−	4.03144i	0.631891	−	0.724067i	0.976701	+	0.214605i	$0.0688466\pi$
$32$	1.54790	+	7.14591i	0.273633	+	1.26323i
$33$	6.33043	−	8.28717i	1.10199	−	1.44261i
$34$	−6.64856	+	1.30573i	−1.14022	+	0.223931i
$35$	1.40846	+	0.164625i	0.238073	+	0.0278267i
$36$	−2.51815	+	4.12252i	−0.419692	+	0.687086i
$37$	−3.14819	−	4.22875i	−0.517559	−	0.695202i	0.464114	−	0.885775i	$-0.346373\pi$
$37$	−3.14819	−	4.22875i	−0.517559	−	0.695202i	−0.981673	+	0.190574i	$0.938965\pi$
$38$	1.10196	−	5.08722i	0.178762	−	0.825256i
$39$	−10.3359	+	1.89740i	−1.65507	+	0.303827i
$40$	2.02848	+	1.98952i	0.320731	+	0.314570i
$41$	−0.857298	+	3.32824i	−0.133887	+	0.519783i	0.865920	+	0.500182i	$0.166733\pi$
$41$	−0.857298	+	3.32824i	−0.133887	+	0.519783i	−0.999808	+	0.0196012i	$0.993760\pi$
$42$	−0.424027	−	1.14004i	−0.0654288	−	0.175912i
$43$	3.41495	+	3.09891i	0.520776	+	0.472579i	0.889484	−	0.456966i	$-0.151064\pi$
$43$	3.41495	+	3.09891i	0.520776	+	0.472579i	−0.368708	+	0.929545i	$0.620200\pi$
$44$	3.84002	−	8.90218i	0.578905	−	1.34205i
$45$	0.384740	+	11.5038i	0.0573537	+	1.71489i
$46$	0.726332	−	0.975633i	0.107092	−	0.143849i
$47$	−2.84239	−	3.25702i	−0.414605	−	0.475085i	0.507707	−	0.861530i	$-0.330493\pi$
$47$	−2.84239	−	3.25702i	−0.414605	−	0.475085i	−0.922313	+	0.386445i	$0.873703\pi$
$48$	2.39362	−	7.64947i	0.345489	−	1.10411i
$49$	−6.53566	−	2.09557i	−0.933665	−	0.299368i
$50$	−18.1236	−	3.55936i	−2.56307	−	0.503370i
$51$	5.85770	+	1.95845i	0.820243	+	0.274237i
$52$	−8.89391	+	4.04278i	−1.23336	+	0.560633i
$53$	−0.566709	+	3.21397i	−0.0778435	+	0.441472i	0.920829	+	0.389966i	$0.127513\pi$
$53$	−0.566709	+	3.21397i	−0.0778435	+	0.441472i	−0.998673	+	0.0515062i	$0.983598\pi$
$54$	8.63645	−	4.78419i	1.17527	−	0.651046i
$55$	−4.01135	−	22.7495i	−0.540890	−	3.06754i
$56$	0.154808	+	0.225715i	0.0206871	+	0.0301625i
$57$	−3.16388	+	3.53612i	−0.419066	+	0.468371i
$58$	−1.16176	−	1.44035i	−0.152546	−	0.189128i
$59$	−1.88217	+	0.768951i	−0.245038	+	0.100109i	−0.497392	−	0.867526i	$-0.665709\pi$
$59$	−1.88217	+	0.768951i	−0.245038	+	0.100109i	0.252354	+	0.967635i	$0.418795\pi$
$60$	2.94197	+	10.2885i	0.379806	+	1.32824i
$61$	−12.5244	+	7.55850i	−1.60358	+	0.967767i	−0.620586	+	0.784138i	$0.713105\pi$
$61$	−12.5244	+	7.55850i	−1.60358	+	0.967767i	−0.982996	+	0.183629i	$0.941216\pi$
$62$	−8.49420	+	5.58672i	−1.07876	+	0.709514i
$63$	−0.177190	+	1.09454i	−0.0223238	+	0.137899i
$64$	0.269642	−	4.62958i	0.0337053	−	0.578697i
$65$	−12.4120	+	19.6929i	−1.53952	+	2.44261i
$66$	−15.8103	+	11.9438i	−1.94612	+	1.47018i
$67$	6.29045	−	4.49615i	0.768501	−	0.549292i	−0.128295	−	0.991736i	$-0.540950\pi$
$67$	6.29045	−	4.49615i	0.768501	−	0.549292i	0.896796	+	0.442444i	$0.145889\pi$
$68$	5.72483	+	0.444969i	0.694238	+	0.0539604i
$69$	−1.01497	+	0.446293i	−0.122188	+	0.0537274i
$70$	−2.49425	−	1.01901i	−0.298120	−	0.121795i
$71$	−2.46771	−	8.24271i	−0.292863	−	0.978230i	−0.970149	−	0.242510i	$-0.922029\pi$
$71$	−2.46771	−	8.24271i	−0.292863	−	0.978230i	0.677286	−	0.735720i	$-0.263156\pi$
$72$	−1.62410	+	1.51591i	−0.191402	+	0.178651i
$73$	−6.59819	+	1.56380i	−0.772260	+	0.183029i	−0.597811	−	0.801637i	$-0.703963\pi$
$73$	−6.59819	+	1.56380i	−0.772260	+	0.183029i	−0.174449	+	0.984666i	$0.555814\pi$
$74$	3.60792	+	9.34473i	0.419412	+	1.08630i
$75$	12.7627	+	10.9811i	1.47371	+	1.26799i
$76$	−2.05584	+	3.90291i	−0.235821	+	0.447695i
$77$	0.0431511	−	2.22486i	0.00491752	−	0.253546i
$78$	19.8863	+	1.79347i	2.25168	+	0.203071i
$79$	2.56450	−	2.51525i	0.288529	−	0.282988i	−0.541508	−	0.840696i	$-0.682146\pi$
$79$	2.56450	−	2.51525i	0.288529	−	0.282988i	0.830037	+	0.557708i	$0.188319\pi$
$80$	−8.87745	−	15.3762i	−0.992529	−	1.71911i
$81$	−8.99948	−	0.0963512i	−0.999943	−	0.0107057i
$82$	3.26515	−	5.65540i	0.360575	−	0.624534i
$83$	−3.79446	−	14.7310i	−0.416496	−	1.61694i	−0.741312	−	0.671160i	$-0.765796\pi$
$83$	−3.79446	−	14.7310i	−0.416496	−	1.61694i	0.324816	−	0.945777i	$-0.394698\pi$
$84$	0.0870928	+	1.02713i	0.00950261	+	0.112069i
$85$	11.9791	−	6.60979i	1.29932	−	0.716933i
$86$	−4.67193	−	7.41253i	−0.503787	−	0.799313i
$87$	0.272343	+	1.66472i	0.0291983	+	0.178477i
$88$	2.79923	−	3.47050i	0.298399	−	0.369957i
$89$	1.54379	−	5.15662i	0.163642	−	0.546601i	−0.836357	−	0.548185i	$-0.815319\pi$
$89$	1.54379	−	5.15662i	0.163642	−	0.546601i	0.999999	+	0.00158400i	$0.000504203\pi$
$90$	5.15746	−	21.2534i	0.543644	−	2.24031i
$91$	−1.53882	+	1.63105i	−0.161312	+	0.170981i
$92$	−0.814730	+	0.631463i	−0.0849414	+	0.0658346i
$93$	9.24805	−	0.603805i	0.958979	−	0.0626117i
$94$	3.54331	+	7.41019i	0.365464	+	0.764303i
$95$	1.01755	+	10.4613i	0.104398	+	1.07331i
$96$	−6.88461	+	10.6293i	−0.702658	+	1.08485i
$97$	12.6536	+	0.491018i	1.28478	+	0.0498553i	0.672091	−	0.740469i	$-0.265396\pi$
$97$	12.6536	+	0.491018i	1.28478	+	0.0498553i	0.612689	+	0.790324i	$0.290088\pi$
$98$	10.8955	+	7.16610i	1.10061	+	0.723885i
$99$	17.9092	−	2.34859i	1.79994	−	0.236042i
$100$	13.9877	+	7.02490i	1.39877	+	0.702490i
$101$	−0.0632735	−	3.26237i	−0.00629595	−	0.324618i	−0.989697	−	0.143175i	$-0.954269\pi$
$101$	−0.0632735	−	3.26237i	−0.00629595	−	0.324618i	0.983401	−	0.181443i	$-0.0580768\pi$
$102$	−9.72443	−	6.56964i	−0.962862	−	0.650492i
$103$	5.54166	+	4.29511i	0.546036	+	0.423210i	0.847912	−	0.530137i	$-0.177860\pi$
$103$	5.54166	+	4.29511i	0.546036	+	0.423210i	−0.301876	+	0.953347i	$0.597613\pi$
$104$	−4.43903	+	0.694252i	−0.435283	+	0.0680770i
$105$	1.51821	+	1.93069i	0.148163	+	0.188416i
$106$	2.67501	−	5.59430i	0.259820	−	0.543367i
$107$	−11.6038	−	4.22343i	−1.12178	−	0.408294i	−0.286478	−	0.958087i	$-0.592485\pi$
$107$	−11.6038	−	4.22343i	−1.12178	−	0.408294i	−0.835301	+	0.549792i	$0.814707\pi$
$108$	−8.13835	+	1.94316i	−0.783114	+	0.186981i
$109$	−3.33087	+	1.21234i	−0.319039	+	0.116121i	−0.496576	−	0.867993i	$-0.665409\pi$
$109$	−3.33087	+	1.21234i	−0.319039	+	0.116121i	0.177536	+	0.984114i	$0.443187\pi$
$110$	−4.24926	+	43.6862i	−0.405151	+	4.16532i
$111$	1.34759	−	9.03129i	0.127907	−	0.857212i
$112$	−0.553694	−	1.61823i	−0.0523192	−	0.152909i
$113$	1.67618	−	1.52105i	0.157681	−	0.143088i	−0.589348	−	0.807879i	$-0.700615\pi$
$113$	1.67618	−	1.52105i	0.157681	−	0.143088i	0.747029	+	0.664791i	$0.231479\pi$
$114$	7.59320	−	4.86062i	0.711169	−	0.455239i
$115$	−0.795111	+	2.32380i	−0.0741445	+	0.216696i
$116$	0.621146	+	1.43998i	0.0576719	+	0.133699i
$117$	−14.9549	−	10.3751i	−1.38258	−	0.959174i
$118$	3.83707	−	0.448489i	0.353231	−	0.0412868i
$119$	1.25503	−	0.402408i	0.115048	−	0.0368887i
$120$	0.0345459	+	4.92113i	0.00315360	+	0.449236i
$121$	−24.3256	+	6.77150i	−2.21142	+	0.615591i
$122$	26.7769	−	7.45385i	2.42427	−	0.674840i
$123$	−5.13429	+	3.01254i	−0.462944	+	0.271631i
$124$	8.20460	−	2.63070i	0.736795	−	0.236244i
$125$	17.9894	−	2.10266i	1.60902	−	0.188067i
$126$	0.882057	−	1.91323i	0.0785799	−	0.170444i
$127$	0.784834	+	1.81945i	0.0696427	+	0.161450i	0.949482	−	0.313821i	$-0.101609\pi$
$127$	0.784834	+	1.81945i	0.0696427	+	0.161450i	−0.879839	+	0.475271i	$0.842350\pi$
$128$	1.88150	−	5.49889i	0.166303	−	0.486038i
$129$	0.365725	+	7.97882i	0.0322003	+	0.702496i
$130$	32.7542	−	29.7229i	2.87273	−	2.60687i
$131$	−2.28947	−	6.69123i	−0.200032	−	0.584615i	0.799847	−	0.600205i	$-0.204914\pi$
$131$	−2.28947	−	6.69123i	−0.200032	−	0.584615i	−0.999878	+	0.0155891i	$0.995038\pi$
$132$	15.6225	−	6.15805i	1.35976	−	0.535990i
$133$	−0.0980211	+	1.00774i	−0.00849951	+	0.0873826i
$134$	−13.8055	+	5.02478i	−1.19261	+	0.434075i
$135$	−13.6569	+	14.5239i	−1.17540	+	1.25002i
$136$	2.48150	+	0.903192i	0.212787	+	0.0774480i
$137$	−3.43526	+	7.18423i	−0.293494	+	0.613790i	−0.995111	−	0.0987639i	$-0.968511\pi$
$137$	−3.43526	+	7.18423i	−0.293494	+	0.613790i	0.701617	+	0.712554i	$0.252462\pi$
$138$	2.08528	−	0.299750i	0.177511	−	0.0255164i
$139$	−6.80283	+	1.06394i	−0.577009	+	0.0902425i	−0.436288	−	0.899807i	$-0.643707\pi$
$139$	−6.80283	+	1.06394i	−0.577009	+	0.0902425i	−0.140720	+	0.990049i	$0.544942\pi$
$140$	1.80479	+	1.39882i	0.152533	+	0.118222i
$141$	0.527805	−	7.46883i	0.0444492	−	0.628989i
$142$	0.317019	+	16.3454i	0.0266037	+	1.37168i
$143$	32.6438	+	16.3943i	2.72981	+	1.37096i
$144$	12.3174	−	6.40413i	1.02645	−	0.533678i
$145$	3.12191	+	2.05331i	0.259260	+	0.170518i
$146$	12.8746	+	0.499593i	1.06551	+	0.0413467i
$147$	−5.40966	−	10.5856i	−0.446181	−	0.873083i
$148$	−0.821843	−	8.44929i	−0.0675551	−	0.694527i
$149$	−3.41391	−	7.13959i	−0.279678	−	0.584898i	0.713612	−	0.700541i	$-0.247058\pi$
$149$	−3.41391	−	7.13959i	−0.279678	−	0.584898i	−0.993291	+	0.115643i	$0.963107\pi$
$150$	−17.7664	−	26.6038i	−1.45062	−	2.17219i
$151$	−10.5396	+	8.16882i	−0.857702	+	0.664769i	−0.943438	−	0.331549i	$-0.892429\pi$
$151$	−10.5396	+	8.16882i	−0.857702	+	0.664769i	0.0857362	+	0.996318i	$0.472676\pi$
$152$	−1.39219	+	1.47563i	−0.112921	+	0.119690i
$153$	4.74996	+	9.58554i	0.384011	+	0.774945i
$154$	−1.21265	+	4.05055i	−0.0977184	+	0.326402i
$155$	12.8886	−	15.9794i	1.03524	−	1.28349i
$156$	−15.8282	−	5.98379i	−1.26727	−	0.479086i
$157$	0.589524	+	0.935343i	0.0470491	+	0.0746485i	0.868687	−	0.495361i	$-0.164964\pi$
$157$	0.589524	+	0.935343i	0.0470491	+	0.0746485i	−0.821638	+	0.570009i	$0.806940\pi$
$158$	−5.97588	+	3.29735i	−0.475415	+	0.262323i
$159$	−4.63903	+	3.22981i	−0.367899	+	0.256141i
$160$	6.99755	+	27.1662i	0.553205	+	2.14767i
$161$	−0.118297	+	0.204896i	−0.00932310	+	0.0161481i
$162$	16.4242	+	4.76202i	1.29041	+	0.374139i
$163$	1.68677	+	2.92157i	0.132118	+	0.228835i	0.924493	−	0.381200i	$-0.124489\pi$
$163$	1.68677	+	2.92157i	0.132118	+	0.228835i	−0.792375	+	0.610034i	$0.791156\pi$
$164$	−3.95106	+	3.87517i	−0.308526	+	0.302600i
$165$	23.0371	−	32.7137i	1.79343	−	2.54676i
$166$	−0.560478	+	28.8981i	−0.0435015	+	2.24293i
$167$	−6.13741	+	11.6516i	−0.474927	+	0.901627i	0.523832	+	0.851822i	$0.324502\pi$
$167$	−6.13741	+	11.6516i	−0.474927	+	0.901627i	−0.998759	+	0.0498053i	$0.984140\pi$
$168$	−0.0880907	+	0.465810i	−0.00679634	+	0.0359380i
$169$	−8.57591	−	22.2122i	−0.659685	−	1.70863i
$170$	−25.2954	+	5.99512i	−1.94007	+	0.459804i
$171$	−8.20699	+	0.433935i	−0.627604	+	0.0331839i
$172$	2.12967	+	7.11359i	0.162386	+	0.542406i
$173$	11.8943	+	4.85935i	0.904306	+	0.369450i	0.782171	−	0.623064i	$-0.214112\pi$
$173$	11.8943	+	4.85935i	0.904306	+	0.369450i	0.122135	+	0.992513i	$0.461026\pi$
$174$	0.349737	−	3.18600i	0.0265135	−	0.241530i
$175$	3.58190	+	0.278407i	0.270766	+	0.0210456i
$176$	−22.6672	+	16.2015i	−1.70860	+	1.22124i
$177$	−3.24329	−	1.37209i	−0.243780	−	0.103133i
$178$	−5.45340	+	8.65240i	−0.408749	+	0.648525i
$179$	0.135815	−	2.33186i	0.0101513	−	0.174291i	−0.989422	−	0.145068i	$-0.953660\pi$
$179$	0.135815	−	2.33186i	0.0101513	−	0.174291i	0.999573	−	0.0292227i	$-0.00930319\pi$
$180$	−9.04094	+	16.1798i	−0.673872	+	1.20597i
$181$	−13.5145	+	8.88860i	−1.00452	+	0.660685i	−0.941390	−	0.337320i	$-0.890479\pi$
$181$	−13.5145	+	8.88860i	−1.00452	+	0.660685i	−0.0631324	+	0.998005i	$0.520109\pi$
$182$	3.64786	−	2.20149i	0.270397	−	0.163186i
$183$	−24.5800	−	6.14774i	−1.81701	−	0.454454i
$184$	−0.438844	+	0.179287i	−0.0323520	+	0.0132172i
$185$	−12.6988	−	15.7441i	−0.933636	−	1.15753i
$186$	−17.2359	−	3.60706i	−1.26380	−	0.264483i
$187$	−12.1436	−	17.7058i	−0.888030	−	1.29478i
$188$	−1.20875	−	6.85518i	−0.0881574	−	0.499966i
$189$	−1.56054	+	1.11934i	−0.113513	+	0.0814203i
$190$	3.46793	−	19.6676i	0.251590	−	1.42684i
$191$	4.21141	−	1.91432i	0.304727	−	0.138515i	−0.255610	−	0.966780i	$-0.582276\pi$
$191$	4.21141	−	1.91432i	0.304727	−	0.138515i	0.560337	+	0.828264i	$0.310672\pi$
$192$	6.01456	−	5.32373i	0.434064	−	0.384207i
$193$	16.2928	+	3.19981i	1.17278	+	0.230327i	0.740908	−	0.671606i	$-0.234395\pi$
$193$	16.2928	+	3.19981i	1.17278	+	0.230327i	0.431875	+	0.901933i	$0.357852\pi$
$194$	−22.9118	−	7.34639i	−1.64497	−	0.527440i
$195$	−39.3441	+	8.81206i	−2.81749	+	0.631044i
$196$	−7.26680	−	8.32683i	−0.519057	−	0.594774i
$197$	−0.444791	+	0.597458i	−0.0316901	+	0.0425671i	−0.817686	−	0.575665i	$-0.804743\pi$
$197$	−0.444791	+	0.597458i	−0.0316901	+	0.0425671i	0.785996	+	0.618232i	$0.212151\pi$
$198$	−33.9789	−	4.82652i	−2.41478	−	0.343006i
$199$	3.62013	−	8.39241i	0.256624	−	0.594922i	−0.740387	−	0.672181i	$-0.765358\pi$
$199$	3.62013	−	8.39241i	0.256624	−	0.594922i	0.997011	+	0.0772590i	$0.0246168\pi$
$200$	5.33086	+	4.83749i	0.376948	+	0.342062i
$201$	13.2049	+	2.23292i	0.931402	+	0.157498i
$202$	−1.54651	+	6.00390i	−0.108812	+	0.422433i
$203$	0.256980	+	0.252044i	0.0180364	+	0.0176900i
$204$	6.44624	+	7.57371i	0.451327	+	0.530266i
$205$	−2.79162	+	12.8875i	−0.194975	+	0.900104i
$206$	−7.95528	−	10.6858i	−0.554271	−	0.744515i
$207$	−1.78781	−	0.701275i	−0.124261	−	0.0487420i
$208$	27.8864	+	3.25945i	1.93357	+	0.226003i
$209$	16.1848	−	3.17859i	1.11953	−	0.219868i
$210$	−1.79527	−	4.30767i	−0.123885	−	0.297258i
$211$	−1.19271	−	5.50618i	−0.0821097	−	0.379061i	0.917725	−	0.397215i	$-0.130023\pi$
$211$	−1.19271	−	5.50618i	−0.0821097	−	0.379061i	−0.999835	+	0.0181545i	$0.994221\pi$
$212$	−3.45537	+	3.95941i	−0.237315	+	0.271933i
$213$	7.10799	−	13.0985i	0.487031	−	0.897498i
$214$	19.0883	+	13.6435i	1.30485	+	0.932651i
$215$	13.5535	+	11.3727i	0.924340	+	0.775614i
$216$	−3.84534	−	0.142798i	−0.261642	−	0.00971615i
$217$	1.51494	−	1.27118i	0.102841	−	0.0862934i
$218$	6.71479	−	0.521915i	0.454783	−	0.0353485i
$219$	−9.97982	−	6.19258i	−0.674374	−	0.418456i
$220$	13.3977	−	34.7010i	0.903275	−	2.33954i
$221$	−2.92792	+	21.4362i	−0.196953	+	1.44195i
$222$	−7.06857	+	15.8448i	−0.474412	+	1.06344i
$223$	−9.66379	−	5.33225i	−0.647135	−	0.357074i	0.125345	−	0.992113i	$-0.459996\pi$
$223$	−9.66379	−	5.33225i	−0.647135	−	0.357074i	−0.772480	+	0.635039i	$0.780984\pi$
$224$	0.157128	+	2.69778i	0.0104985	+	0.180253i
$225$	2.10416	+	29.0859i	0.140277	+	1.93906i
$226$	−3.84323	+	1.93014i	−0.255648	+	0.128391i
$227$	−2.26337	−	4.29690i	−0.150225	−	0.285195i	0.798082	−	0.602548i	$-0.205848\pi$
$227$	−2.26337	−	4.29690i	−0.150225	−	0.285195i	−0.948307	+	0.317353i	$0.897206\pi$
$228$	−7.30398	+	2.24266i	−0.483718	+	0.148523i
$229$	16.9342	+	7.69754i	1.11904	+	0.508668i	0.885948	−	0.463785i	$-0.153509\pi$
$229$	16.9342	+	7.69754i	1.11904	+	0.508668i	0.233097	+	0.972454i	$0.425114\pi$
$230$	2.63951	−	3.84850i	0.174044	−	0.253763i
$231$	2.78487	−	2.66459i	0.183231	−	0.175317i
$232$	0.0976038	+	0.714586i	0.00640800	+	0.0469149i
$233$	−26.1030	−	6.18653i	−1.71007	−	0.405293i	−0.744951	−	0.667119i	$-0.767527\pi$
$233$	−26.1030	−	6.18653i	−1.71007	−	0.405293i	−0.965115	+	0.261826i	$0.915675\pi$
$234$	22.0880	+	26.6114i	1.44394	+	1.73964i
$235$	−11.3819	−	12.0641i	−0.742472	−	0.786974i
$236$	−3.23462	−	0.505886i	−0.210556	−	0.0329304i
$237$	6.22122	+	0.0769775i	0.404112	+	0.00500022i
$238$	−2.50233	+	0.0971020i	−0.162202	+	0.00629419i
$239$	0.213596	+	0.128906i	0.0138164	+	0.00833823i	0.523591	−	0.851970i	$-0.324592\pi$
$239$	0.213596	+	0.128906i	0.0138164	+	0.00833823i	−0.509774	+	0.860308i	$0.670271\pi$
$240$	8.03878	−	29.6831i	0.518901	−	1.91604i
$241$	21.7431	+	6.05259i	1.40059	+	0.389882i	0.884456	−	0.466624i	$-0.154530\pi$
$241$	21.7431	+	6.05259i	1.40059	+	0.389882i	0.516137	+	0.856506i	$0.327369\pi$
$242$	47.9777			3.08412
$243$	−10.8742	−	11.1692i	−0.697581	−	0.716506i
$244$	−23.5555			−1.50798
$245$	−25.3686	−	7.06182i	−1.62074	−	0.451163i
$246$	10.9332	−	2.89820i	0.697075	−	0.184782i
$247$	−14.2302	−	8.58797i	−0.905446	−	0.546440i
$248$	3.95948	−	0.153646i	0.251427	−	0.00975653i
$249$	13.4552	−	22.6530i	0.852685	−	1.43558i
$250$	−34.0004	−	5.31757i	−2.15037	−	0.336312i
$251$	15.0656	+	15.9686i	0.950930	+	1.00793i	0.999958	+	0.00912994i	$0.00290619\pi$
$251$	15.0656	+	15.9686i	0.950930	+	1.00793i	−0.0490279	+	0.998797i	$0.515612\pi$
$252$	−1.15496	+	1.36155i	−0.0727553	+	0.0857698i
$253$	3.75031	+	0.888839i	0.235780	+	0.0558808i
$254$	−0.509521	−	3.73035i	−0.0319702	−	0.234063i
$255$	22.7490	+	6.63696i	1.42460	+	0.415622i
$256$	−11.4919	+	16.7556i	−0.718243	+	1.04722i
$257$	17.5843	+	7.99306i	1.09688	+	0.498593i	0.878729	−	0.477322i	$-0.158392\pi$
$257$	17.5843	+	7.99306i	1.09688	+	0.498593i	0.218152	+	0.975915i	$0.429997\pi$
$258$	3.39613	−	14.7913i	0.211434	−	0.920869i
$259$	−0.908080	−	1.72395i	−0.0564253	−	0.107121i
$260$	−33.4966	+	16.8226i	−2.07737	+	1.04329i
$261$	−1.71165	+	2.36784i	−0.105949	+	0.146566i
$262$	0.781316	+	13.4147i	0.0482699	+	0.828761i
$263$	−3.27645	−	1.80787i	−0.202034	−	0.111478i	0.378869	−	0.925450i	$-0.376313\pi$
$263$	−3.27645	−	1.80787i	−0.202034	−	0.111478i	−0.580904	+	0.813972i	$0.697301\pi$
$264$	7.68099	−	0.801580i	0.472732	−	0.0493339i
$265$	−1.69454	+	12.4062i	−0.104095	+	0.762108i
$266$	0.692917	−	1.79470i	0.0424855	−	0.110040i
$267$	8.21811	−	4.40282i	0.502940	−	0.269448i
$268$	12.4132	−	0.964828i	0.758255	−	0.0589363i
$269$	−5.26789	+	4.42029i	−0.321189	+	0.269510i	−0.789098	−	0.614267i	$-0.789452\pi$
$269$	−5.26789	+	4.42029i	−0.321189	+	0.269510i	0.467909	+	0.883776i	$0.345007\pi$
$270$	32.3992	−	19.6268i	1.97175	−	1.19445i
$271$	6.11967	+	5.13501i	0.371744	+	0.311930i	0.809451	−	0.587188i	$-0.199765\pi$
$271$	6.11967	+	5.13501i	0.371744	+	0.311930i	−0.437707	+	0.899118i	$0.644209\pi$
$272$	−13.4251	−	9.59567i	−0.814015	−	0.581823i
$273$	−3.88258	+	0.102572i	−0.234984	+	0.00620793i
$274$	9.94883	−	11.4001i	0.601031	−	0.688705i
$275$	−12.3903	−	57.1998i	−0.747160	−	3.44928i
$276$	−1.77061	−	0.229195i	−0.106578	−	0.0137959i
$277$	15.4258	−	3.02953i	0.926848	−	0.182027i	0.293558	−	0.955941i	$-0.405161\pi$
$277$	15.4258	−	3.02953i	0.926848	−	0.182027i	0.633290	+	0.773914i	$0.281704\pi$
$278$	12.9945	+	1.51884i	0.779358	+	0.0910939i
$279$	12.0376	+	10.6193i	0.720674	+	0.635758i
$280$	0.627092	+	0.842331i	0.0374759	+	0.0503389i
$281$	3.87954	−	17.9099i	0.231434	−	1.06842i	−0.702698	−	0.711489i	$-0.748021\pi$
$281$	3.87954	−	17.9099i	0.231434	−	1.06842i	0.934132	−	0.356929i	$-0.116176\pi$
$282$	−4.77184	+	13.4025i	−0.284159	+	0.798108i
$283$	13.3626	+	13.1060i	0.794327	+	0.779070i	0.979028	−	0.203724i	$-0.0653046\pi$
$283$	13.3626	+	13.1060i	0.794327	+	0.779070i	−0.184701	+	0.982795i	$0.559132\pi$
$284$	3.45598	−	13.4169i	0.205075	−	0.796149i
$285$	−11.6038	+	14.0277i	−0.687350	+	0.830929i
$286$	−51.3998	−	46.6428i	−3.03933	−	2.75805i
$287$	−0.503122	+	1.16637i	−0.0296983	+	0.0688485i
$288$	−21.4623	+	4.52889i	−1.26468	+	0.266867i
$289$	−2.55819	+	3.43624i	−0.150482	+	0.202132i
$290$	−4.66830	−	5.34928i	−0.274132	−	0.314120i
$291$	14.8529	+	16.1386i	0.870694	+	0.946063i
$292$	−10.3977	−	3.33388i	−0.608478	−	0.195101i
$293$	30.5279	+	5.99548i	1.78346	+	0.350259i	0.972150	−	0.234361i	$-0.0752999\pi$
$293$	30.5279	+	5.99548i	1.78346	+	0.350259i	0.811307	+	0.584621i	$0.198757\pi$
$294$	4.50837	+	22.1330i	0.262934	+	1.29082i
$295$	−7.10158	+	3.22806i	−0.413470	+	0.187945i
$296$	0.677942	−	3.84480i	0.0394046	−	0.223475i
$297$	24.7595	+	19.1241i	1.43669	+	1.10969i
$298$	2.61111	+	14.8083i	0.151258	+	0.857824i
$299$	−2.19672	−	3.20290i	−0.127040	−	0.185229i
$300$	8.45878	+	25.7579i	0.488368	+	1.48713i
$301$	1.07002	+	1.32661i	0.0616747	+	0.0764647i
$302$	23.4548	−	9.58235i	1.34967	−	0.551402i
$303$	3.92896	−	4.06256i	0.225713	−	0.233388i
$304$	10.8538	−	6.55031i	0.622509	−	0.375686i
$305$	−46.8922	+	30.8415i	−2.68504	+	1.76598i
$306$	−3.81038	−	19.9663i	−0.217825	−	1.14140i
$307$	−0.356622	+	6.12296i	−0.0203535	+	0.349456i	0.972722	+	0.231975i	$0.0745188\pi$
$307$	−0.356622	+	6.12296i	−0.0203535	+	0.349456i	−0.993075	+	0.117481i	$0.962518\pi$
$308$	1.91061	−	3.03139i	0.108867	−	0.172729i
$309$	1.49445	+	12.0516i	0.0850166	+	0.685590i
$310$	−31.7344	+	22.6824i	−1.80239	+	1.28827i
$311$	3.49696	+	0.271805i	0.198294	+	0.0154127i	0.176256	−	0.984344i	$-0.443601\pi$
$311$	3.49696	+	0.271805i	0.198294	+	0.0154127i	0.0220390	+	0.999757i	$0.492984\pi$
$312$	−6.27467	−	4.60321i	−0.355233	−	0.260606i
$313$	−8.88875	−	3.63145i	−0.502422	−	0.205262i	0.112797	−	0.993618i	$-0.464019\pi$
$313$	−8.88875	−	3.63145i	−0.502422	−	0.205262i	−0.615219	+	0.788356i	$0.710932\pi$
$314$	−0.602505	−	2.01251i	−0.0340013	−	0.113572i
$315$	−0.516486	+	4.22266i	−0.0291007	+	0.237920i
$316$	5.62827	−	1.33392i	0.316615	−	0.0750391i
$317$	11.5915	+	30.0227i	0.651042	+	1.68624i	0.724796	+	0.688964i	$0.241934\pi$
$317$	11.5915	+	30.0227i	0.651042	+	1.68624i	−0.0737538	+	0.997276i	$0.523498\pi$
$318$	10.1373	−	3.54827i	0.568473	−	0.198977i
$319$	2.73275	−	5.18800i	0.153005	−	0.290472i
$320$	0.345022	−	17.7893i	0.0192873	−	0.994450i
$321$	−8.98713	−	19.4084i	−0.501613	−	1.08327i
$322$	0.320943	−	0.314778i	0.0178854	−	0.0175419i
$323$	4.88444	+	8.46010i	0.271778	+	0.470733i
$324$	−12.3269	−	7.62055i	−0.684829	−	0.423364i
$325$	−29.4882	+	51.0751i	−1.63571	+	2.83314i
$326$	−1.59890	−	6.20732i	−0.0885550	−	0.343792i
$327$	−5.55730	−	2.60954i	−0.307320	−	0.144308i
$328$	−2.22844	+	1.22960i	−0.123045	+	0.0678933i
$329$	−0.851911	−	1.35165i	−0.0469674	−	0.0745188i
$330$	−58.8378	+	48.1429i	−3.23891	+	2.65018i
$331$	−6.84266	+	8.48356i	−0.376106	+	0.466299i	−0.930679	−	0.365836i	$-0.880783\pi$
$331$	−6.84266	+	8.48356i	−0.376106	+	0.466299i	0.554573	+	0.832135i	$0.312882\pi$
$332$	7.02522	−	23.4659i	0.385559	−	1.28786i
$333$	12.7366	−	9.37651i	0.697962	−	0.513830i
$334$	17.1714	−	18.2006i	0.939575	−	0.995891i
$335$	23.4478	−	18.1734i	1.28109	−	0.992921i
$336$	1.31090	−	2.65656i	0.0715156	−	0.144927i
$337$	−5.54930	−	11.6054i	−0.302290	−	0.632186i	0.693835	−	0.720134i	$-0.255920\pi$
$337$	−5.54930	−	11.6054i	−0.302290	−	0.632186i	−0.996125	+	0.0879482i	$0.971969\pi$
$338$	4.37982	+	45.0285i	0.238231	+	2.44923i
$339$	3.91526	+	0.200471i	0.212648	+	0.0108881i
$340$	22.0144	+	0.854259i	1.19390	+	0.0463287i
$341$	−26.9160	−	17.7029i	−1.45758	−	0.958668i
$342$	15.2437	+	3.38753i	0.824287	+	0.183177i
$343$	−4.57884	−	2.29958i	−0.247234	−	0.124166i
$344$	0.0662206	+	3.41432i	0.00357038	+	0.184088i
$345$	−3.82487	+	1.86202i	−0.205924	+	0.100248i
$346$	−19.2961	−	14.9556i	−1.03736	−	0.804017i
$347$	−1.13303	+	0.177203i	−0.0608245	+	0.00951277i	−0.184858	−	0.982765i	$-0.559182\pi$
$347$	−1.13303	+	0.177203i	−0.0608245	+	0.00951277i	0.124033	+	0.992278i	$0.460417\pi$
$348$	−1.00961	+	2.52166i	−0.0541209	+	0.135175i
$349$	10.1008	−	21.1241i	0.540685	−	1.13075i	−0.432693	−	0.901541i	$-0.642437\pi$
$349$	10.1008	−	21.1241i	0.540685	−	1.13075i	0.973378	−	0.229206i	$-0.0736128\pi$
$350$	−6.41469	−	2.33476i	−0.342880	−	0.124798i
$351$	−5.52614	−	31.0377i	−0.294964	−	1.65667i
$352$	41.3674	−	15.0565i	2.20489	−	0.802513i
$353$	1.54022	−	15.8349i	0.0819777	−	0.842805i	−0.860703	−	0.509108i	$-0.829975\pi$
$353$	1.54022	−	15.8349i	0.0819777	−	0.842805i	0.942680	−	0.333697i	$-0.108296\pi$
$354$	5.23759	+	4.16418i	0.278375	+	0.221324i
$355$	−10.6871	−	31.2343i	−0.567213	−	1.65774i
$356$	6.41874	−	5.82469i	0.340192	−	0.308708i
$357$	2.02713	+	1.04967i	0.107287	+	0.0555544i
$358$	−1.43679	+	4.19919i	−0.0759369	+	0.221934i
$359$	9.23621	+	21.4119i	0.487468	+	1.13008i	0.967510	+	0.252833i	$0.0813623\pi$
$359$	9.23621	+	21.4119i	0.487468	+	1.13008i	−0.480042	+	0.877246i	$0.659378\pi$
$360$	−6.00104	+	6.05340i	−0.316283	+	0.319042i
$361$	11.4175	−	1.33451i	0.600921	−	0.0702376i
$362$	29.2670	−	9.38407i	1.53824	−	0.493216i
$363$	−38.0284	−	21.6012i	−1.99597	−	1.13377i
$364$	−3.47855	+	0.968321i	−0.182326	+	0.0507538i
$365$	−25.0639	+	6.97701i	−1.31190	+	0.365194i
$366$	41.8604	+	23.7779i	2.18808	+	1.24289i
$367$	30.9294	−	9.91710i	1.61450	−	0.517668i	0.645297	−	0.763932i	$-0.276734\pi$
$367$	30.9294	−	9.91710i	1.61450	−	0.517668i	0.969203	+	0.246264i	$0.0792029\pi$
$368$	2.94229	−	0.343904i	0.153377	−	0.0179272i
$369$	−9.97080	−	2.62530i	−0.519059	−	0.136668i
$370$	15.2225	+	35.2897i	0.791379	+	1.83462i
$371$	−0.390486	+	1.14124i	−0.0202730	+	0.0592501i
$372$	13.2522	+	6.86210i	0.687093	+	0.355783i
$373$	13.2643	−	12.0367i	0.686798	−	0.623236i	−0.251991	−	0.967730i	$-0.581085\pi$
$373$	13.2643	−	12.0367i	0.686798	−	0.623236i	0.938789	+	0.344494i	$0.111949\pi$
$374$	13.2066	+	38.5977i	0.682896	+	1.99584i
$375$	24.5555	+	19.5230i	1.26804	+	1.00816i
$376$	0.309920	−	3.18626i	0.0159829	−	0.164319i
$377$	−5.55248	+	2.02094i	−0.285967	+	0.104084i
$378$	3.42688	−	1.25376i	0.176260	−	0.0644862i
$379$	−30.2298	−	11.0028i	−1.55280	−	0.565173i	−0.583728	−	0.811949i	$-0.698407\pi$
$379$	−30.2298	−	11.0028i	−1.55280	−	0.565173i	−0.969073	+	0.246776i	$0.920629\pi$
$380$	−7.30116	+	15.2691i	−0.374542	+	0.783288i
$381$	−1.27567	+	3.18618i	−0.0653547	+	0.163233i
$382$	−8.68429	+	1.35820i	−0.444327	+	0.0694914i
$383$	11.3891	+	8.82722i	0.581956	+	0.451050i	0.860555	−	0.509357i	$-0.170117\pi$
$383$	11.3891	+	8.82722i	0.581956	+	0.451050i	−0.278599	+	0.960408i	$0.589870\pi$
$384$	9.05092	−	4.40617i	0.461878	−	0.224852i
$385$	−0.165560	−	8.53622i	−0.00843770	−	0.435046i
$386$	−28.1931	−	14.1591i	−1.43499	−	0.720679i
$387$	−9.35142	+	10.1950i	−0.475360	+	0.518239i
$388$	17.0363	+	11.2050i	0.864887	+	0.568845i
$389$	−18.1288	−	0.703479i	−0.919166	−	0.0356678i	−0.425152	−	0.905122i	$-0.639779\pi$
$389$	−18.1288	−	0.703479i	−0.919166	−	0.0356678i	−0.494014	+	0.869454i	$0.664471\pi$
$390$	76.5082	+	3.91741i	3.87415	+	0.198366i
$391$	0.220992	+	2.27200i	0.0111761	+	0.114900i
$392$	−2.19259	−	4.58541i	−0.110742	−	0.231598i
$393$	5.42045	−	10.9846i	0.273426	−	0.554100i
$394$	1.11861	−	0.866987i	0.0563547	−	0.0436782i
$395$	9.45776	−	10.0246i	0.475871	−	0.504394i
$396$	26.6445	+	11.6629i	1.33894	+	0.586081i
$397$	−2.42279	+	8.09268i	−0.121596	+	0.406160i	−0.997015	−	0.0772050i	$-0.975400\pi$
$397$	−2.42279	+	8.09268i	−0.121596	+	0.406160i	0.875419	+	0.483365i	$0.160586\pi$
$398$	−10.9029	+	13.5174i	−0.546511	+	0.677567i
$399$	−1.35726	+	1.11055i	−0.0679479	+	0.0555971i
$400$	−23.9852	−	38.0551i	−1.19926	−	1.90275i
$401$	8.98803	−	4.95939i	0.448841	−	0.247660i	−0.242553	−	0.970138i	$-0.577985\pi$
$401$	8.98803	−	4.95939i	0.448841	−	0.247660i	0.691394	+	0.722478i	$0.256997\pi$
$402$	−23.0334	−	10.8158i	−1.14880	−	0.539443i
$403$	8.09778	+	31.4375i	0.403379	+	1.56601i
$404$	2.62711	−	4.55029i	0.130704	−	0.226385i
$405$	−34.5171	+	0.969468i	−1.71517	+	0.0481732i
$406$	−0.341966	−	0.592302i	−0.0169715	−	0.0293954i
$407$	−22.6612	+	22.2260i	−1.12327	+	1.10170i
$408$	1.92192	+	4.15054i	0.0951493	+	0.205482i
$409$	−0.0370489	+	1.91023i	−0.00183195	+	0.0944548i	0.997780	+	0.0665971i	$0.0212142\pi$
$409$	−0.0370489	+	1.91023i	−0.00183195	+	0.0944548i	−0.999612	+	0.0278577i	$0.991131\pi$
$410$	11.6768	−	22.1678i	0.576674	−	1.09479i
$411$	−13.0184	+	4.55671i	−0.642151	+	0.224766i
$412$	4.06638	+	10.5322i	0.200336	+	0.518884i
$413$	−0.731201	+	0.173298i	−0.0359801	+	0.00852743i
$414$	2.91519	+	2.19463i	0.143274	+	0.107860i
$415$	−16.7390	−	55.9121i	−0.821685	−	2.74462i
$416$	−41.0658	−	16.7772i	−2.01342	−	0.822572i
$417$	−9.61595	−	7.05444i	−0.470895	−	0.345457i
$418$	−31.2454	−	2.42859i	−1.52826	−	0.118786i
$419$	14.3029	−	10.2231i	0.698743	−	0.499431i	−0.175772	−	0.984431i	$-0.556242\pi$
$419$	14.3029	−	10.2231i	0.698743	−	0.499431i	0.874514	+	0.485000i	$0.161180\pi$
$420$	0.486709	+	3.92492i	0.0237490	+	0.191517i
$421$	−17.4518	+	27.6892i	−0.850549	+	1.34949i	0.0850324	+	0.996378i	$0.472901\pi$
$421$	−17.4518	+	27.6892i	−0.850549	+	1.34949i	−0.935582	+	0.353110i	$0.885124\pi$
$422$	−0.622425	+	10.6866i	−0.0302992	+	0.520217i
$423$	9.81655	−	8.47474i	0.477297	−	0.412056i
$424$	−2.01921	+	1.32806i	−0.0980616	+	0.0644961i
$425$	29.6776	−	17.9105i	1.43958	−	0.868789i
$426$	−19.6853	+	20.3546i	−0.953754	+	0.986185i
$427$	−5.00502	+	2.04478i	−0.242210	+	0.0989537i
$428$	−12.4835	−	15.4771i	−0.603414	−	0.748116i
$429$	19.7406	+	60.1122i	0.953086	+	2.90224i
$430$	−19.0143	−	27.7235i	−0.916952	−	1.33695i
$431$	4.66966	+	26.4829i	0.224929	+	1.27564i	0.862820	+	0.505511i	$0.168696\pi$
$431$	4.66966	+	26.4829i	0.224929	+	1.27564i	−0.637890	+	0.770127i	$0.720193\pi$
$432$	22.9096	+	7.30359i	1.10224	+	0.351394i
$433$	−3.62220	+	20.5425i	−0.174072	+	0.987210i	0.765138	+	0.643866i	$0.222671\pi$
$433$	−3.62220	+	20.5425i	−0.174072	+	0.987210i	−0.939210	+	0.343344i	$0.888440\pi$
$434$	−3.42077	+	1.55493i	−0.164202	+	0.0746390i
$435$	1.29179	+	6.34180i	0.0619366	+	0.304066i
$436$	−5.60077	−	1.09996i	−0.268228	−	0.0526783i
$437$	−1.66992	−	0.535438i	−0.0798830	−	0.0256135i
$438$	15.1123	+	16.4205i	0.722096	+	0.784602i
$439$	3.52039	+	4.03392i	0.168019	+	0.192529i	0.831270	−	0.555868i	$-0.187614\pi$
$439$	3.52039	+	4.03392i	0.168019	+	0.192529i	−0.663251	+	0.748397i	$0.730824\pi$
$440$	10.2155	−	13.7219i	0.487007	−	0.654164i
$441$	6.39159	−	19.5730i	0.304361	−	0.932049i
$442$	16.2822	−	37.7463i	0.774464	−	1.79541i
$443$	−17.5904	−	15.9625i	−0.835747	−	0.758400i	0.136926	−	0.990581i	$-0.456278\pi$
$443$	−17.5904	−	15.9625i	−0.835747	−	0.758400i	−0.972672	+	0.232182i	$0.925414\pi$
$444$	9.37203	−	11.3297i	0.444777	−	0.537685i
$445$	5.15153	−	19.9994i	0.244206	−	0.948065i
$446$	14.9722	+	14.6847i	0.708956	+	0.695339i
$447$	4.59758	−	12.9131i	0.217458	−	0.610768i
$448$	0.362854	−	1.67512i	0.0171432	−	0.0791420i
$449$	1.53418	+	2.06077i	0.0724027	+	0.0972536i	0.836849	−	0.547433i	$-0.184395\pi$
$449$	1.53418	+	2.06077i	0.0724027	+	0.0972536i	−0.764447	+	0.644687i	$0.776988\pi$
$450$	10.9690	−	54.3129i	0.517083	−	2.56034i
$451$	20.5530	+	2.40230i	0.967801	+	0.113120i
$452$	3.57639	−	0.702380i	0.168219	−	0.0330372i
$453$	−22.9052	−	2.96494i	−1.07618	−	0.139305i
$454$	1.95356	+	9.01864i	0.0916851	+	0.423266i
$455$	−5.65697	+	6.48217i	−0.265203	+	0.303889i
$456$	−3.51261	+	0.0927978i	−0.164493	+	0.00434565i
$457$	19.4136	+	13.8760i	0.908131	+	0.649093i	0.936562	−	0.350503i	$-0.113989\pi$
$457$	19.4136	+	13.8760i	0.908131	+	0.649093i	−0.0284307	+	0.999596i	$0.509051\pi$
$458$	−27.0753	−	22.7189i	−1.26515	−	1.06158i
$459$	−5.96932	+	17.5414i	−0.278624	+	0.818763i
$460$	−3.02962	+	2.54215i	−0.141257	+	0.118528i
$461$	21.5717	−	1.67669i	1.00469	−	0.0780911i	0.435411	−	0.900232i	$-0.356603\pi$
$461$	21.5717	−	1.67669i	1.00469	−	0.0780911i	0.569284	+	0.822141i	$0.307220\pi$
$462$	−6.45535	+	3.45843i	−0.300330	+	0.160901i
$463$	−11.6715	+	30.2300i	−0.542422	+	1.40491i	0.342654	+	0.939462i	$0.388674\pi$
$463$	−11.6715	+	30.2300i	−0.542422	+	1.40491i	−0.885076	+	0.465446i	$0.845894\pi$
$464$	0.609916	−	4.46538i	0.0283146	−	0.207300i
$465$	35.3659	−	3.69075i	1.64006	−	0.171154i
$466$	44.6285	+	24.6249i	2.06737	+	1.14073i
$467$	−1.76572	−	30.3163i	−0.0817079	−	1.40287i	−0.751211	−	0.660062i	$-0.770530\pi$
$467$	−1.76572	−	30.3163i	−0.0817079	−	1.40287i	0.669503	−	0.742809i	$-0.266507\pi$
$468$	−11.9853	−	26.7463i	−0.554022	−	1.23635i
$469$	2.55377	−	1.28255i	0.117922	−	0.0592228i
$470$	14.6870	+	27.8825i	0.677459	+	1.28612i
$471$	−0.428538	+	1.86643i	−0.0197460	+	0.0860007i
$472$	−1.37070	−	0.623061i	−0.0630917	−	0.0286787i
$473$	15.7038	−	22.8968i	0.722063	−	1.05279i
$474$	−11.3485	−	3.31090i	−0.521255	−	0.152075i
$475$	3.60380	+	26.3845i	0.165354	+	1.21060i
$476$	2.06505	+	0.489425i	0.0946513	+	0.0224328i
$477$	−9.63266	−	1.75172i	−0.441049	−	0.0802055i
$478$	−0.325297	−	0.344795i	−0.0148788	−	0.0157706i
$479$	−21.1768	−	3.31199i	−0.967594	−	0.151329i	−0.349071	−	0.937096i	$-0.613503\pi$
$479$	−21.1768	−	3.31199i	−0.967594	−	0.151329i	−0.618522	+	0.785767i	$0.712268\pi$
$480$	−24.8133	+	41.7756i	−1.13257	+	1.90679i
$481$	31.9616	−	1.24025i	1.45732	−	0.0565507i
$482$	−36.7159	−	22.1582i	−1.67236	−	1.00928i
$483$	−0.396112	+	0.105002i	−0.0180237	+	0.00477777i
$484$	−39.1704	−	10.9038i	−1.78047	−	0.495628i
$485$	48.5852			2.20614
$486$	14.2137	+	25.9858i	0.644745	+	1.17874i
$487$	−36.3883			−1.64891			−0.824456	−	0.565926i	$-0.808519\pi$
$487$	−36.3883			−1.64891			−0.824456	+	0.565926i	$0.808519\pi$
$488$	−10.4362	−	2.90512i	−0.472425	−	0.131509i
$489$	−1.52741	+	5.63996i	−0.0690721	+	0.255048i
$490$	42.8380	+	25.8529i	1.93523	+	1.16791i
$491$	17.5231	−	0.679976i	0.790806	−	0.0306869i	0.359793	−	0.933032i	$-0.382847\pi$
$491$	17.5231	−	0.679976i	0.790806	−	0.0306869i	0.431014	+	0.902345i	$0.358156\pi$
$492$	−9.58485	−	0.118597i	−0.432118	−	0.00534676i
$493$	3.43120	+	0.536629i	0.154533	+	0.0241686i
$494$	21.6720	+	22.9710i	0.975069	+	1.03351i
$495$	68.3119	−	11.6685i	3.07039	−	0.524462i
$496$	−24.0936	−	5.71028i	−1.08183	−	0.256399i
$497$	−0.430362	−	3.15081i	−0.0193044	−	0.141333i
$498$	−36.1720	+	34.6097i	−1.62091	+	1.55090i
$499$	11.8935	−	17.3412i	0.532428	−	0.776300i	−0.461404	−	0.887190i	$-0.652654\pi$
$499$	11.8935	−	17.3412i	0.532428	−	0.776300i	0.993833	+	0.110890i	$0.0353703\pi$
$500$	26.5504	+	12.0687i	1.18737	+	0.539726i
$501$	−21.8050	+	6.69512i	−0.974175	+	0.299116i
$502$	−19.4403	−	36.9066i	−0.867665	−	1.64722i
$503$	−16.7170	+	8.39558i	−0.745373	+	0.374340i	−0.780593	−	0.625039i	$-0.785083\pi$
$503$	−16.7170	+	8.39558i	−0.745373	+	0.374340i	0.0352203	+	0.999380i	$0.488787\pi$
$504$	−0.679623	+	0.460792i	−0.0302728	+	0.0205253i
$505$	−0.727929	−	12.4980i	−0.0323924	−	0.556156i
$506$	−6.41191	−	3.53794i	−0.285044	−	0.157281i
$507$	16.8018	−	37.6627i	0.746194	−	1.67266i
$508$	−0.431805	+	3.16137i	−0.0191582	+	0.140263i
$509$	−2.47878	+	6.42019i	−0.109870	+	0.284570i	−0.976904	−	0.213679i	$-0.931455\pi$
$509$	−2.47878	+	6.42019i	−0.109870	+	0.284570i	0.867034	+	0.498249i	$0.166023\pi$
$510$	−38.2595	−	23.7404i	−1.69416	−	1.05124i
$511$	−2.49868	+	0.194213i	−0.110535	+	0.00859147i
$512$	20.6690	−	17.3433i	0.913447	−	0.766473i
$513$	−10.5574	−	9.54829i	−0.466121	−	0.421567i
$514$	−28.1147	−	23.5911i	−1.24009	−	1.04056i
$515$	21.8849	+	15.6424i	0.964366	+	0.689287i
$516$	−6.13431	+	11.3043i	−0.270048	+	0.497642i
$517$	−17.1136	+	19.6100i	−0.752654	+	0.862446i
$518$	0.783782	+	3.61834i	0.0344374	+	0.158981i
$519$	8.56105	+	20.5419i	0.375789	+	0.901690i
$520$	−16.9154	+	3.32207i	−0.741787	+	0.145682i
$521$	20.5766	+	2.40506i	0.901478	+	0.105368i	0.554189	−	0.832391i	$-0.313028\pi$
$521$	20.5766	+	2.40506i	0.901478	+	0.105368i	0.347289	+	0.937758i	$0.387102\pi$
$522$	4.33965	−	3.46209i	0.189941	−	0.151532i
$523$	14.0428	+	18.8627i	0.614047	+	0.824808i	0.995009	−	0.0997827i	$-0.0318148\pi$
$523$	14.0428	+	18.8627i	0.614047	+	0.824808i	−0.380963	+	0.924590i	$0.624407\pi$
$524$	2.41085	−	11.1297i	0.105318	−	0.486204i
$525$	4.03326	+	4.73870i	0.176026	+	0.206814i
$526$	5.07624	+	4.97874i	0.221335	+	0.217084i
$527$	4.75946	−	18.4774i	0.207325	−	0.804887i
$528$	−47.5829	−	8.04616i	−2.07078	−	0.350164i
$529$	16.7291	+	15.1808i	0.727350	+	0.660035i
$530$	9.42333	−	21.8457i	0.409323	−	0.948919i
$531$	−2.27659	−	5.65878i	−0.0987958	−	0.245570i
$532$	−0.973597	+	1.30777i	−0.0422108	+	0.0566989i
$533$	−13.7106	−	15.7107i	−0.593874	−	0.680504i
$534$	−17.2864	+	3.87171i	−0.748057	+	0.167545i
$535$	−45.1156	−	14.4657i	−1.95052	−	0.625408i
$536$	5.61863	+	1.10346i	0.242688	+	0.0476623i
$537$	3.02946	−	2.68149i	0.130731	−	0.115715i
$538$	11.8950	−	5.40696i	0.512832	−	0.233111i
$539$	−7.17574	+	40.6956i	−0.309081	+	1.75289i
$540$	−30.9122	+	8.66055i	−1.33025	+	0.372691i
$541$	2.43507	+	13.8100i	0.104692	+	0.593737i	0.991343	+	0.131298i	$0.0419145\pi$
$541$	2.43507	+	13.8100i	0.104692	+	0.593737i	−0.886651	+	0.462439i	$0.846974\pi$
$542$	−8.58534	−	12.5177i	−0.368772	−	0.537683i
$543$	−27.4228	−	5.73892i	−1.17682	−	0.246281i
$544$	16.3690	+	20.2943i	0.701813	+	0.870112i
$545$	−12.5897	+	5.14347i	−0.539285	+	0.220322i
$546$	7.15920	+	1.79060i	0.306386	+	0.0766304i
$547$	17.0527	−	10.2913i	0.729120	−	0.440026i	−0.102957	−	0.994686i	$-0.532831\pi$
$547$	17.0527	−	10.2913i	0.729120	−	0.440026i	0.832077	+	0.554660i	$0.187152\pi$
$548$	−10.7134	+	7.04631i	−0.457654	+	0.301004i
$549$	−22.4740	−	37.6940i	−0.959169	−	1.60874i
$550$	−6.46594	+	111.016i	−0.275708	+	4.73373i
$551$	−1.42259	+	2.25709i	−0.0606043	+	0.0961553i
$552$	−0.756199	−	0.319915i	−0.0321860	−	0.0136165i
$553$	1.08009	−	0.772002i	0.0459301	−	0.0328289i
$554$	−29.7802	−	2.31470i	−1.26524	−	0.0983421i
$555$	3.82287	−	34.8252i	0.162272	−	1.47825i
$556$	−10.2639	−	4.19327i	−0.435287	−	0.177834i
$557$	2.59529	+	8.66887i	0.109966	+	0.367312i	0.995203	−	0.0978276i	$-0.0311894\pi$
$557$	2.59529	+	8.66887i	0.109966	+	0.367312i	−0.885237	+	0.465139i	$0.846004\pi$
$558$	−16.6235	−	25.5719i	−0.703730	−	1.08255i
$559$	−27.2239	+	6.45219i	−1.15145	+	0.272899i
$560$	−2.36353	−	6.12171i	−0.0998775	−	0.258689i
$561$	6.91011	−	36.5396i	0.291745	−	1.54270i
$562$	−16.2273	+	30.8068i	−0.684508	+	1.29951i
$563$	−0.395559	+	20.3949i	−0.0166708	+	0.859544i	0.894394	+	0.447280i	$0.147607\pi$
$563$	−0.395559	+	20.3949i	−0.0166708	+	0.859544i	−0.911065	+	0.412263i	$0.864738\pi$
$564$	6.94185	−	9.85772i	0.292304	−	0.415085i
$565$	6.19994	−	6.08086i	0.260833	−	0.255824i
$566$	−17.7818	−	30.7990i	−0.747425	−	1.29458i
$567$	−3.28072	−	0.549139i	−0.137777	−	0.0230617i
$568$	3.18589	−	5.51813i	0.133677	−	0.231535i
$569$	0.319945	+	1.24210i	0.0134128	+	0.0520717i	0.974746	−	0.223315i	$-0.0716879\pi$
$569$	0.319945	+	1.24210i	0.0134128	+	0.0520717i	−0.961334	+	0.275387i	$0.911194\pi$
$570$	28.3882	−	19.7646i	1.18905	−	0.827847i
$571$	−27.2113	+	15.0146i	−1.13876	+	0.628340i	−0.936387	−	0.350969i	$-0.885852\pi$
$571$	−27.2113	+	15.0146i	−1.13876	+	0.628340i	−0.202371	+	0.979309i	$0.564865\pi$
$572$	31.3638	+	49.7621i	1.31139	+	2.08066i
$573$	7.49490	+	2.83342i	0.313104	+	0.118368i
$574$	1.51527	−	1.87864i	0.0632460	−	0.0784127i
$575$	−1.78466	+	5.96117i	−0.0744254	+	0.248598i
$576$	13.8842	+	0.883260i	0.578508	+	0.0368025i
$577$	10.5171	−	11.1474i	0.437831	−	0.464074i	−0.470455	−	0.882424i	$-0.655910\pi$
$577$	10.5171	−	11.1474i	0.437831	−	0.464074i	0.908286	+	0.418350i	$0.137392\pi$
$578$	6.43360	−	4.98642i	0.267603	−	0.207408i
$579$	15.9717	+	23.9163i	0.663759	+	0.993929i
$580$	2.59561	+	5.42827i	0.107777	+	0.225397i
$581$	−0.544293	−	5.59582i	−0.0225811	−	0.232154i
$582$	−18.9645	−	37.1095i	−0.786102	−	1.53824i
$583$	19.6345	+	0.761909i	0.813179	+	0.0315550i
$584$	−4.19550	−	2.75942i	−0.173611	−	0.114186i
$585$	−58.8787	−	37.5517i	−2.43433	−	1.55257i
$586$	−52.8253	−	26.5299i	−2.18219	−	1.09594i
$587$	0.674639	+	34.7842i	0.0278453	+	1.43570i	0.709852	+	0.704351i	$0.248762\pi$
$587$	0.674639	+	34.7842i	0.0278453	+	1.43570i	−0.682007	+	0.731346i	$0.738892\pi$
$588$	1.34938	−	19.0947i	0.0556473	−	0.787451i
$589$	11.5858	+	8.97965i	0.477383	+	0.370000i
$590$	14.6441	−	2.29029i	0.602887	−	0.0942898i
$591$	−1.27699	+	0.183561i	−0.0525282	+	0.00755069i
$592$	−10.5243	+	22.0096i	−0.432545	+	0.904590i
$593$	−17.5078	−	6.37231i	−0.718958	−	0.261679i	−0.0434745	−	0.999055i	$-0.513843\pi$
$593$	−17.5078	−	6.37231i	−0.718958	−	0.261679i	−0.675483	+	0.737375i	$0.736065\pi$
$594$	−35.5769	−	47.6222i	−1.45974	−	1.95396i
$595$	4.75173	−	1.72949i	0.194802	−	0.0709022i
$596$	1.23369	−	12.6834i	0.0505337	−	0.519532i
$597$	14.7279	−	5.80542i	0.602772	−	0.237600i
$598$	2.38901	+	6.98214i	0.0976939	+	0.285521i
$599$	8.29494	−	7.52726i	0.338922	−	0.307555i	−0.484716	−	0.874672i	$-0.661077\pi$
$599$	8.29494	−	7.52726i	0.338922	−	0.307555i	0.823638	+	0.567116i	$0.191941\pi$
$600$	0.570909	+	12.4552i	0.0233073	+	0.508482i
$601$	2.16061	−	6.31463i	0.0881332	−	0.257579i	−0.893275	−	0.449510i	$-0.851599\pi$
$601$	2.16061	−	6.31463i	0.0881332	−	0.257579i	0.981408	+	0.191931i	$0.0614751\pi$
$602$	−1.28266	−	2.97354i	−0.0522774	−	0.121193i
$603$	13.3872	+	18.9433i	0.545170	+	0.771431i
$604$	−21.3270	+	2.49277i	−0.867783	+	0.101429i
$605$	−92.2536	+	29.5799i	−3.75064	+	1.20260i
$606$	−9.26190	+	5.43440i	−0.376239	+	0.220758i
$607$	−42.6705	+	11.8781i	−1.73194	+	0.482119i	−0.983473	−	0.181052i	$-0.942050\pi$
$607$	−42.6705	+	11.8781i	−1.73194	+	0.482119i	−0.748468	+	0.663171i	$0.769210\pi$
$608$	−19.2964	+	5.37153i	−0.782574	+	0.217844i
$609$	0.00437648	+	0.623438i	0.000177344	+	0.0252630i
$610$	101.550	−	32.5607i	4.11164	−	1.31834i
$611$	26.0502	−	3.04483i	1.05388	−	0.123181i
$612$	−1.42682	+	17.1671i	−0.0576758	+	0.693939i
$613$	8.39707	+	19.4666i	0.339154	+	0.786248i	0.999381	+	0.0351816i	$0.0112010\pi$
$613$	8.39707	+	19.4666i	0.339154	+	0.786248i	−0.660227	+	0.751066i	$0.729540\pi$
$614$	3.77272	−	11.0262i	0.152254	−	0.444980i
$615$	−19.2360	+	12.3135i	−0.775670	+	0.496528i
$616$	1.22036	−	1.10741i	0.0491695	−	0.0446190i
$617$	3.75263	+	10.9675i	0.151075	+	0.441534i	0.995569	−	0.0940307i	$-0.0299752\pi$
$617$	3.75263	+	10.9675i	0.151075	+	0.441534i	−0.844494	+	0.535565i	$0.820099\pi$
$618$	3.40528	−	22.8215i	0.136980	−	0.918017i
$619$	−1.10297	+	11.3395i	−0.0443321	+	0.455773i	0.946697	+	0.322126i	$0.104397\pi$
$619$	−1.10297	+	11.3395i	−0.0443321	+	0.455773i	−0.991029	+	0.133648i	$0.957331\pi$
$620$	31.0639	−	11.3063i	1.24756	−	0.454074i
$621$	−1.32256	−	3.05204i	−0.0530725	−	0.122474i
$622$	−6.26258	−	2.27939i	−0.251107	−	0.0913953i
$623$	0.858218	−	1.79481i	0.0343838	−	0.0719075i
$624$	30.0595	+	38.2263i	1.20334	+	1.53028i
$625$	20.6366	−	3.22751i	0.825464	−	0.129100i
$626$	14.4202	+	11.1765i	0.576346	+	0.446702i
$627$	23.6725	+	15.9927i	0.945389	+	0.638688i
$628$	0.0345231	+	1.78000i	0.00137762	+	0.0710297i
$629$	−16.7999	−	8.43722i	−0.669855	−	0.336414i
$630$	3.09705	−	7.46628i	0.123390	−	0.297464i
$631$	14.2115	+	9.34704i	0.565750	+	0.372100i	0.799930	−	0.600094i	$-0.204870\pi$
$631$	14.2115	+	9.34704i	0.565750	+	0.372100i	−0.234180	+	0.972193i	$0.575240\pi$
$632$	2.65811	+	0.103147i	0.105734	+	0.00410296i
$633$	5.30483	−	8.19026i	0.210848	−	0.325534i
$634$	−5.91990	−	60.8619i	−0.235109	−	2.41714i
$635$	3.27963	+	6.85876i	0.130148	+	0.272181i
$636$	−9.08283	+	0.593018i	−0.360157	+	0.0235147i
$637$	32.9129	−	25.5094i	1.30406	−	1.01072i
$638$	−7.64574	+	8.10402i	−0.302698	+	0.320841i
$639$	24.7674	−	7.27064i	0.979783	−	0.287622i
$640$	6.39533	−	21.3619i	0.252798	−	0.844403i
$641$	17.0709	−	21.1646i	0.674259	−	0.835950i	−0.319490	−	0.947590i	$-0.603511\pi$
$641$	17.0709	−	21.1646i	0.674259	−	0.835950i	0.993749	+	0.111640i	$0.0356103\pi$
$642$	6.56118	+	40.1059i	0.258949	+	1.58285i
$643$	−2.49816	−	3.96360i	−0.0985177	−	0.156309i	0.793110	−	0.609079i	$-0.208461\pi$
$643$	−2.49816	−	3.96360i	−0.0985177	−	0.156309i	−0.891627	+	0.452770i	$0.850436\pi$
$644$	−0.333567	+	0.184054i	−0.0131444	+	0.00725275i
$645$	2.58916	+	30.5353i	0.101948	+	1.20233i
$646$	−4.63001	−	17.9748i	−0.182165	−	0.707209i
$647$	6.72265	−	11.6440i	0.264295	−	0.457772i	−0.703084	−	0.711107i	$-0.748194\pi$
$647$	6.72265	−	11.6440i	0.264295	−	0.457772i	0.967379	+	0.253335i	$0.0815276\pi$
$648$	−4.52158	−	4.89657i	−0.177624	−	0.192355i
$649$	6.12075	+	10.6014i	0.240260	+	0.416143i
$650$	80.0024	−	78.4658i	3.13795	−	3.07768i
$651$	3.41147	+	0.307668i	0.133706	+	0.0120585i
$652$	−0.105338	+	5.43122i	−0.00412537	+	0.212703i
$653$	−9.82656	+	18.6553i	−0.384543	+	0.730037i	−0.998227	−	0.0595146i	$-0.981045\pi$
$653$	−9.82656	+	18.6553i	−0.384543	+	0.730037i	0.613684	+	0.789551i	$0.289687\pi$
$654$	8.84279	+	7.60839i	0.345780	+	0.297511i
$655$	−9.77297	−	25.3126i	−0.381862	−	0.989047i
$656$	15.4757	−	3.66782i	0.604226	−	0.143204i
$657$	−4.58537	−	19.8194i	−0.178892	−	0.773228i
$658$	0.870669	+	2.90824i	0.0339422	+	0.113375i
$659$	−39.0595	−	15.9576i	−1.52154	−	0.621619i	−0.545289	−	0.838248i	$-0.683580\pi$
$659$	−39.0595	−	15.9576i	−1.52154	−	0.621619i	−0.976254	+	0.216629i	$0.930494\pi$
$660$	58.9783	−	25.9333i	2.29573	−	1.00945i
$661$	19.1195	+	1.48609i	0.743663	+	0.0578021i	0.443733	−	0.896159i	$-0.353654\pi$
$661$	19.1195	+	1.48609i	0.743663	+	0.0578021i	0.299930	+	0.953961i	$0.403037\pi$
$662$	16.8480	−	12.0422i	0.654817	−	0.468035i
$663$	−29.9003	+	22.5879i	−1.16123	+	0.877242i
$664$	6.00658	−	9.53009i	0.233101	−	0.369839i
$665$	−0.225876	+	3.87814i	−0.00875909	+	0.150388i
$666$	−28.0917	+	10.6735i	−1.08853	+	0.413591i
$667$	−0.520875	+	0.342585i	−0.0201684	+	0.0132649i
$668$	−18.1556	+	10.9570i	−0.702462	+	0.423938i
$669$	−5.25585	−	18.3805i	−0.203203	−	0.710629i
$670$	−52.1807	+	21.3182i	−2.01592	+	0.823593i
$671$	55.2948	+	68.5548i	2.13463	+	2.64653i
$672$	−3.12100	+	3.48819i	−0.120395	+	0.134560i
$673$	−9.05960	−	13.2092i	−0.349222	−	0.509178i	0.609783	−	0.792569i	$-0.291257\pi$
$673$	−9.05960	−	13.2092i	−0.349222	−	0.509178i	−0.959005	+	0.283391i	$0.908541\pi$
$674$	4.24435	+	24.0709i	0.163486	+	0.927177i
$675$	−33.1478	+	38.1112i	−1.27586	+	1.46690i
$676$	6.65775	−	37.7580i	0.256067	−	1.45223i
$677$	−34.1612	+	15.5282i	−1.31292	+	0.596796i	−0.943163	−	0.332332i	$-0.892165\pi$
$677$	−34.1612	+	15.5282i	−1.31292	+	0.596796i	−0.369759	+	0.929128i	$0.620560\pi$
$678$	−7.06461	−	2.36196i	−0.271315	−	0.0907106i
$679$	4.59251	+	0.901939i	0.176244	+	0.0346133i
$680$	9.64809	+	3.09354i	0.369987	+	0.118632i
$681$	2.51205	−	8.02797i	0.0962621	−	0.307632i
$682$	40.2485	+	46.1196i	1.54119	+	1.76601i
$683$	−1.91713	+	2.57516i	−0.0733571	+	0.0985357i	−0.837287	−	0.546763i	$-0.815860\pi$
$683$	−1.91713	+	2.57516i	−0.0733571	+	0.0985357i	0.763930	+	0.645299i	$0.223267\pi$
$684$	−11.6756	−	6.23011i	−0.446426	−	0.238214i
$685$	−12.1015	+	28.0544i	−0.462374	+	1.07190i
$686$	7.20968	+	6.54244i	0.275267	+	0.249791i
$687$	11.2318	+	30.1978i	0.428519	+	1.15212i
$688$	5.32301	−	20.6652i	0.202938	−	0.787853i
$689$	−14.1361	−	13.8646i	−0.538543	−	0.528199i
$690$	7.95009	−	1.45943i	0.302655	−	0.0555596i
$691$	8.13012	−	37.5328i	0.309284	−	1.42782i	−0.512828	−	0.858491i	$-0.671402\pi$
$691$	8.13012	−	37.5328i	0.309284	−	1.42782i	0.822113	−	0.569325i	$-0.192795\pi$
$692$	12.3549	+	16.5956i	0.469664	+	0.630869i
$693$	6.67378	+	0.165180i	0.253516	+	0.00627466i
$694$	2.16428	+	0.252968i	0.0821548	+	0.00960252i
$695$	−25.9228	+	5.09108i	−0.983309	+	0.193116i
$696$	−0.758306	+	0.992700i	−0.0287435	+	0.0376282i
$697$	2.59459	+	11.9780i	0.0982772	+	0.453698i
$698$	−29.2529	+	33.5202i	−1.10724	+	1.26876i
$699$	−24.2867	−	39.6116i	−0.918607	−	1.49825i
$700$	4.70653	+	3.36402i	0.177890	+	0.127148i
$701$	−14.6668	−	12.3069i	−0.553959	−	0.464826i	0.322320	−	0.946631i	$-0.395537\pi$
$701$	−14.6668	−	12.3069i	−0.553959	−	0.464826i	−0.876279	+	0.481804i	$0.839982\pi$
$702$	−5.69969	+	59.6293i	−0.215121	+	2.25056i
$703$	11.0635	−	9.28339i	0.417268	−	0.350130i
$704$	−27.8372	+	2.16368i	−1.04915	+	0.0815467i
$705$	0.912383	−	28.7130i	0.0343623	−	1.08139i
$706$	−10.8879	+	28.2004i	−0.409772	+	1.06134i
$707$	0.163207	−	1.19489i	0.00613804	−	0.0449384i
$708$	−3.32973	−	4.59010i	−0.125139	−	0.172506i
$709$	10.3188	+	5.69366i	0.387530	+	0.213830i	0.664899	−	0.746933i	$-0.268475\pi$
$709$	10.3188	+	5.69366i	0.387530	+	0.213830i	−0.277369	+	0.960764i	$0.589462\pi$
$710$	3.64714	+	62.6190i	0.136875	+	2.35005i
$711$	7.50445	+	7.73380i	0.281439	+	0.290040i
$712$	3.56218	−	1.78899i	0.133498	−	0.0670453i
$713$	1.59631	+	3.03051i	0.0597822	+	0.113494i
$714$	−3.17575	−	2.95431i	−0.118849	−	0.110562i
$715$	127.591	+	57.9971i	4.77162	+	2.16897i
$716$	2.12738	−	3.10180i	0.0795041	−	0.115920i
$717$	0.102601	+	0.419754i	0.00383170	+	0.0156760i
$718$	−5.99623	−	43.9001i	−0.223777	−	1.63834i
$719$	28.3270	+	6.71361i	1.05642	+	0.250375i	0.721888	−	0.692010i	$-0.243275\pi$
$719$	28.3270	+	6.71361i	1.05642	+	0.250375i	0.334529	+	0.942385i	$0.391423\pi$
$720$	46.2705	−	26.3850i	1.72440	−	0.983312i
$721$	1.77828	+	1.88487i	0.0662267	+	0.0701962i
$722$	−21.5794	−	3.37495i	−0.803101	−	0.125603i
$723$	19.1256	+	34.0939i	0.711290	+	1.26797i
$724$	−26.0271	+	1.00997i	−0.967290	+	0.0375353i
$725$	8.10531	+	4.89158i	0.301024	+	0.181669i
$726$	58.6029	+	58.9175i	2.17496	+	2.18663i
$727$	10.0026	+	2.78442i	0.370976	+	0.103268i	0.448643	−	0.893711i	$-0.351908\pi$
$727$	10.0026	+	2.78442i	0.370976	+	0.103268i	−0.0776667	+	0.996979i	$0.524747\pi$
$728$	−1.66059			−0.0615456
$729$	0.433570	−	26.9965i	0.0160581	−	0.999871i
$730$	49.4338			1.82963
$731$	15.8418	+	4.40986i	0.585929	+	0.163105i
$732$	−28.7721	−	28.9266i	−1.06345	−	1.06916i
$733$	21.5112	+	12.9821i	0.794535	+	0.479504i	0.854976	−	0.518668i	$-0.173572\pi$
$733$	21.5112	+	12.9821i	0.794535	+	0.479504i	−0.0604413	+	0.998172i	$0.519251\pi$
$734$	−61.6684	+	2.39302i	−2.27622	+	0.0883279i
$735$	−22.3147	−	39.7788i	−0.823090	−	1.46726i
$736$	−4.62428	−	0.723224i	−0.170453	−	0.0266584i
$737$	−31.9471	−	33.8619i	−1.17679	−	1.24732i
$738$	16.9135	+	9.88612i	0.622595	+	0.363913i
$739$	48.0758	+	11.3942i	1.76850	+	0.419141i	0.980497	−	0.196534i	$-0.0629687\pi$
$739$	48.0758	+	11.3942i	1.76850	+	0.419141i	0.788000	+	0.615676i	$0.211117\pi$
$740$	−4.40784	−	32.2711i	−0.162036	−	1.18631i
$741$	−6.83547	−	27.9648i	−0.251107	−	1.02731i
$742$	1.29628	−	1.89003i	0.0475881	−	0.0693851i
$743$	−18.2957	−	8.31643i	−0.671205	−	0.305100i	0.0490633	−	0.998796i	$-0.484376\pi$
$743$	−18.2957	−	8.31643i	−0.671205	−	0.305100i	−0.720268	+	0.693696i	$0.755981\pi$
$744$	5.02504	+	4.67464i	0.184227	+	0.171381i
$745$	−14.1506	−	26.8643i	−0.518439	−	0.984232i
$746$	−30.4131	+	15.2740i	−1.11350	+	0.559222i
$747$	44.2533	−	11.1467i	1.61914	−	0.407835i
$748$	−2.01020	−	34.5138i	−0.0735001	−	1.26195i
$749$	−3.99600	−	2.20490i	−0.146011	−	0.0805653i
$750$	−35.0002	−	48.2483i	−1.27803	−	1.76178i
$751$	6.60673	−	48.3698i	0.241083	−	1.76504i	−0.329841	−	0.944036i	$-0.606995\pi$
$751$	6.60673	−	48.3698i	0.241083	−	1.76504i	0.570924	−	0.821003i	$-0.306585\pi$
$752$	−7.20519	+	18.6619i	−0.262746	+	0.680530i
$753$	−1.20767	+	38.0058i	−0.0440100	+	1.38501i
$754$	11.1934	−	0.870020i	0.407639	−	0.0316842i
$755$	−39.1921	+	32.8861i	−1.42635	+	1.19685i
$756$	−3.08275	+	0.244780i	−0.112118	+	0.00890257i
$757$	13.1017	+	10.9936i	0.476189	+	0.399570i	0.849046	−	0.528319i	$-0.177177\pi$
$757$	13.1017	+	10.9936i	0.476189	+	0.399570i	−0.372857	+	0.927889i	$0.621622\pi$
$758$	49.7283	+	35.5437i	1.80621	+	1.29100i
$759$	3.48935	+	5.69113i	0.126655	+	0.206575i
$760$	−5.11792	+	5.86448i	−0.185646	+	0.212727i
$761$	−7.60910	−	35.1275i	−0.275830	−	1.27337i	−0.879408	−	0.476068i	$-0.842062\pi$
$761$	−7.60910	−	35.1275i	−0.275830	−	1.27337i	0.603579	−	0.797303i	$-0.293741\pi$
$762$	3.95858	−	5.18219i	0.143404	−	0.187731i
$763$	−1.28552	+	0.252469i	−0.0465391	+	0.00913998i
$764$	7.39879	+	0.864794i	0.267679	+	0.0312872i
$765$	19.6367	+	36.0430i	0.709967	+	1.30314i
$766$	−16.3495	−	21.9612i	−0.590733	−	0.793491i
$767$	2.61150	−	12.0560i	0.0942958	−	0.435318i
$768$	−34.6131	+	6.35406i	−1.24899	+	0.229282i
$769$	−17.6078	−	17.2696i	−0.634953	−	0.622758i	0.309698	−	0.950835i	$-0.399772\pi$
$769$	−17.6078	−	17.2696i	−0.634953	−	0.622758i	−0.944651	+	0.328078i	$0.893599\pi$
$770$	−4.04654	+	15.7096i	−0.145827	+	0.566136i
$771$	11.6630	+	31.3571i	0.420032	+	1.12930i
$772$	19.7997	+	17.9673i	0.712608	+	0.646657i
$773$	−18.6705	+	43.2831i	−0.671531	+	1.55678i	0.151294	+	0.988489i	$0.451656\pi$
$773$	−18.6705	+	43.2831i	−0.671531	+	1.55678i	−0.822825	+	0.568295i	$0.807603\pi$
$774$	22.3123	−	13.8966i	0.801999	−	0.499502i
$775$	31.0597	−	41.7204i	1.11570	−	1.49864i
$776$	6.16599	+	7.06544i	0.221346	+	0.253635i
$777$	1.00785	−	3.22087i	0.0361565	−	0.115548i
$778$	32.8257	+	10.5251i	1.17686	+	0.377345i
$779$	−9.23878	−	1.81444i	−0.331013	−	0.0650089i
$780$	−61.5733	−	20.5862i	−2.20468	−	0.737105i
$781$	−47.1608	+	21.4372i	−1.68755	+	0.767083i
$782$	0.753168	−	4.27143i	0.0269332	−	0.152746i
$783$	−4.99847	+	0.790285i	−0.178631	+	0.0282425i
$784$	5.51524	+	31.2785i	0.196973	+	1.11709i
$785$	2.39931	+	3.49827i	0.0856349	+	0.124859i
$786$	−15.5191	+	17.3450i	−0.553549	+	0.618675i
$787$	−17.5571	−	21.7674i	−0.625843	−	0.775924i	0.361866	−	0.932230i	$-0.382140\pi$
$787$	−17.5571	−	21.7674i	−0.625843	−	0.775924i	−0.987709	+	0.156307i	$0.950041\pi$
$788$	−1.11030	+	0.453609i	−0.0395530	+	0.0161592i
$789$	−1.78196	−	6.23178i	−0.0634396	−	0.221857i
$790$	−22.4201	+	13.5306i	−0.797673	+	0.481398i
$791$	0.698933	−	0.459696i	0.0248512	−	0.0163449i
$792$	10.3664	+	8.45330i	0.368354	+	0.300375i
$793$	5.16051	−	88.6026i	0.183255	−	3.14637i
$794$	8.55843	−	13.5789i	0.303727	−	0.481896i
$795$	−17.3049	+	13.0728i	−0.613741	+	0.463645i
$796$	11.9735	−	8.55815i	0.424390	−	0.303335i
$797$	−36.4574	−	2.83369i	−1.29139	−	0.100374i	−0.586648	−	0.809842i	$-0.699553\pi$
$797$	−36.4574	−	2.83369i	−1.29139	−	0.100374i	−0.704738	+	0.709467i	$0.748936\pi$
$798$	3.05030	−	1.34124i	0.107979	−	0.0474795i
$799$	−14.2702	−	5.83004i	−0.504845	−	0.206252i
$800$	20.3842	+	68.0879i	0.720689	+	2.40727i
$801$	15.4449	+	4.71412i	0.545717	+	0.166565i
$802$	−18.9793	+	4.49819i	−0.670184	+	0.158837i
$803$	14.7050	+	38.0870i	0.518929	+	1.34406i
$804$	16.3471	+	14.0651i	0.576516	+	0.496038i
$805$	−0.423051	+	0.803143i	−0.0149106	+	0.0283071i
$806$	1.19612	−	61.6715i	0.0421315	−	2.17229i
$807$	−11.8627	−	1.06985i	−0.417588	−	0.0376607i
$808$	1.72513	−	1.69199i	0.0606898	−	0.0595242i
$809$	−16.6993	−	28.9241i	−0.587117	−	1.01692i	−0.994608	−	0.103707i	$-0.966929\pi$
$809$	−16.6993	−	28.9241i	−0.587117	−	1.01692i	0.407491	−	0.913209i	$-0.366404\pi$
$810$	63.6765	+	15.8135i	2.23736	+	0.555629i
$811$	18.7607	−	32.4945i	0.658778	−	1.14104i	−0.322154	−	0.946687i	$-0.604407\pi$
$811$	18.7607	−	32.4945i	0.658778	−	1.14104i	0.980932	−	0.194350i	$-0.0622599\pi$
$812$	0.144579	+	0.561291i	0.00507373	+	0.0196974i
$813$	1.16906	+	13.7873i	0.0410006	+	0.483542i
$814$	52.8058	−	29.1370i	1.85084	−	1.02125i
$815$	6.90147	+	10.9499i	0.241748	+	0.383559i
$816$	−4.61457	−	28.2070i	−0.161542	−	0.987442i
$817$	−7.93108	+	9.83300i	−0.277473	+	0.344013i
$818$	1.04117	−	3.47774i	0.0364035	−	0.121596i
$819$	−4.86838	−	4.64259i	−0.170115	−	0.162225i
$820$	−14.5713	+	15.4447i	−0.508852	+	0.539351i
$821$	23.0366	−	17.8547i	0.803984	−	0.623134i	−0.125460	−	0.992099i	$-0.540041\pi$
$821$	23.0366	−	17.8547i	0.803984	−	0.623134i	0.929444	+	0.368964i	$0.120288\pi$
$822$	26.1516	−	1.70744i	0.912143	−	0.0595538i
$823$	−10.5136	−	21.9874i	−0.366482	−	0.766432i	0.633491	−	0.773750i	$-0.281621\pi$
$823$	−10.5136	−	21.9874i	−0.366482	−	0.766432i	−0.999973	+	0.00731778i	$0.997671\pi$
$824$	0.502658	+	5.16778i	0.0175109	+	0.180028i
$825$	55.1082	−	85.0829i	1.91862	−	2.96220i
$826$	1.42674	+	0.0553642i	0.0496428	+	0.00192637i
$827$	−12.2627	−	8.06527i	−0.426414	−	0.280457i	0.318108	−	0.948054i	$-0.396952\pi$
$827$	−12.2627	−	8.06527i	−0.426414	−	0.280457i	−0.744523	+	0.667597i	$0.767323\pi$
$828$	−1.88128	−	2.45429i	−0.0653790	−	0.0852926i
$829$	9.04177	+	4.54095i	0.314034	+	0.157714i	0.598834	−	0.800873i	$-0.295631\pi$
$829$	9.04177	+	4.54095i	0.314034	+	0.157714i	−0.284800	+	0.958587i	$0.591927\pi$
$830$	2.15041	+	110.875i	0.0746419	+	3.84852i
$831$	22.5624	+	15.2427i	0.782680	+	0.528765i
$832$	22.2384	+	17.2361i	0.770978	+	0.597553i
$833$	−24.1807	+	3.78179i	−0.837810	+	0.131031i
$834$	14.0071	+	17.8127i	0.485027	+	0.616803i
$835$	−21.7966	+	45.5837i	−0.754301	+	1.57749i
$836$	24.9578	+	9.08388i	0.863182	+	0.314173i
$837$	1.66288	+	27.7535i	0.0574775	+	0.959300i
$838$	−31.3902	+	11.4251i	−1.08436	+	0.394673i
$839$	−2.30426	+	23.6899i	−0.0795520	+	0.817866i	0.867639	+	0.497195i	$0.165637\pi$
$839$	−2.30426	+	23.6899i	−0.0795520	+	0.817866i	−0.947191	+	0.320671i	$0.896092\pi$
$840$	−0.268428	+	1.79896i	−0.00926166	+	0.0620699i
$841$	−9.08123	−	26.5409i	−0.313146	−	0.915203i
$842$	46.0539	−	41.7917i	1.58712	−	1.44024i
$843$	26.7325	−	17.1122i	0.920715	−	0.589375i
$844$	2.93690	−	8.58342i	0.101092	−	0.295454i
$845$	−36.1834	−	83.8825i	−1.24475	−	2.88565i
$846$	−22.2872	+	10.5108i	−0.766248	+	0.361368i
$847$	−9.26938	+	1.08343i	−0.318500	+	0.0372273i
$848$	14.3812	−	4.61114i	0.493852	−	0.158347i
$849$	0.227572	+	32.4181i	0.00781025	+	1.11258i
$850$	−63.4502	+	17.6626i	−2.17632	+	0.605821i
$851$	3.25118	−	0.905027i	0.111449	−	0.0310239i
$852$	20.6976	−	12.1443i	0.709088	−	0.416056i
$853$	−7.71195	+	2.47274i	−0.264052	+	0.0846649i	−0.434403	−	0.900719i	$-0.643041\pi$
$853$	−7.71195	+	2.47274i	−0.264052	+	0.0846649i	0.170351	+	0.985383i	$0.445510\pi$
$854$	10.2034	−	1.19261i	0.349155	−	0.0408103i
$855$	−31.3999	+	2.88461i	−1.07385	+	0.0986516i
$856$	−3.62200	−	8.39673i	−0.123797	−	0.286994i
$857$	14.9405	−	43.6652i	0.510357	−	1.49158i	−0.327056	−	0.945005i	$-0.606057\pi$
$857$	14.9405	−	43.6652i	0.510357	−	1.49158i	0.837413	−	0.546570i	$-0.184067\pi$
$858$	−5.50466	−	120.092i	−0.187926	−	4.09988i
$859$	2.46590	−	2.23769i	0.0841354	−	0.0763488i	−0.628855	−	0.777523i	$-0.716476\pi$
$859$	2.46590	−	2.23769i	0.0841354	−	0.0763488i	0.712990	+	0.701174i	$0.247340\pi$
$860$	9.22315	+	26.9557i	0.314507	+	0.919181i
$861$	−2.04687	+	0.806831i	−0.0697570	+	0.0274967i
$862$	4.94661	−	50.8556i	0.168482	−	1.73215i
$863$	49.9016	−	18.1627i	1.69867	−	0.618265i	0.702997	−	0.711193i	$-0.251845\pi$
$863$	49.9016	−	18.1627i	1.69867	−	0.618265i	0.995673	+	0.0929279i	$0.0296226\pi$
$864$	−31.7769	−	20.8242i	−1.08107	−	0.708455i
$865$	46.3240	+	16.8606i	1.57506	+	0.573276i
$866$	17.0977	−	35.7568i	0.581003	−	1.21506i
$867$	−7.34449	+	1.05574i	−0.249432	+	0.0358548i
$868$	3.14620	−	0.492057i	0.106789	−	0.0167015i
$869$	−17.0942	−	13.2490i	−0.579880	−	0.449441i
$870$	0.866859	−	12.2667i	0.0293893	−	0.415880i
$871$	0.909680	+	46.9029i	0.0308233	+	1.58924i
$872$	−2.34575	−	1.17808i	−0.0794372	−	0.0398949i
$873$	−1.67623	+	37.9524i	−0.0567319	+	1.28449i
$874$	2.78390	+	1.83100i	0.0941669	+	0.0619346i
$875$	6.68903	+	0.259565i	0.226130	+	0.00877489i
$876$	−8.60630	−	16.8407i	−0.290780	−	0.568996i
$877$	−3.22316	−	33.1370i	−0.108839	−	1.11896i	−0.877591	−	0.479411i	$-0.840850\pi$
$877$	−3.22316	−	33.1370i	−0.108839	−	1.11896i	0.768752	−	0.639547i	$-0.220878\pi$
$878$	−4.38850	−	9.17777i	−0.148105	−	0.309735i
$879$	29.9261	+	44.8120i	1.00938	+	1.51147i
$880$	−84.4925	+	65.4866i	−2.84824	+	2.20755i
$881$	36.4914	−	38.6786i	1.22943	−	1.30312i	0.291379	−	0.956608i	$-0.405886\pi$
$881$	36.4914	−	38.6786i	1.22943	−	1.30312i	0.938047	−	0.346507i	$-0.112632\pi$
$882$	−21.6730	+	32.5710i	−0.729767	+	1.09672i
$883$	−14.7874	+	49.3933i	−0.497635	+	1.66222i	0.227630	+	0.973748i	$0.426902\pi$
$883$	−14.7874	+	49.3933i	−0.497635	+	1.66222i	−0.725265	+	0.688469i	$0.758283\pi$
$884$	−21.8718	+	27.1168i	−0.735628	+	0.912036i
$885$	−12.6384	−	4.77791i	−0.424836	−	0.160608i
$886$	24.0651	+	38.1819i	0.808484	+	1.28275i
$887$	31.9242	−	17.6150i	1.07191	−	0.591455i	0.153931	−	0.988082i	$-0.450807\pi$
$887$	31.9242	−	17.6150i	1.07191	−	0.591455i	0.917980	+	0.396626i	$0.129819\pi$
$888$	5.54957	−	3.86375i	0.186231	−	0.129659i
$889$	0.182680	+	0.709205i	0.00612688	+	0.0237860i
$890$	−19.6203	+	33.9834i	−0.657675	+	1.13913i
$891$	6.75808	+	53.7645i	0.226404	+	1.80118i
$892$	−8.88641	−	15.3917i	−0.297539	−	0.515353i
$893$	8.45469	−	8.29230i	0.282925	−	0.277491i
$894$	−14.9955	+	21.2943i	−0.501526	+	0.712189i
$895$	0.173783	−	8.96022i	0.00580893	−	0.299507i
$896$	1.00108	−	1.90051i	0.0334438	−	0.0634914i
$897$	1.25001	−	6.60984i	0.0417365	−	0.220696i
$898$	−1.75822	−	4.55391i	−0.0586726	−	0.151966i
$899$	5.07064	−	1.20176i	0.169115	−	0.0400811i
$900$	−21.2990	+	41.8498i	−0.709968	+	1.39499i
$901$	3.33772	+	11.1488i	0.111196	+	0.371420i
$902$	−36.3975	−	14.8700i	−1.21190	−	0.495117i
$903$	−0.322119	+	2.93441i	−0.0107195	+	0.0976510i
$904$	1.67114	+	0.129891i	0.0555812	+	0.00432012i
$905$	−50.4902	+	36.0882i	−1.67835	+	1.19961i
$906$	40.4165	+	17.0985i	1.34275	+	0.568059i
$907$	−19.0557	+	30.2339i	−0.632734	+	1.00390i	0.364616	+	0.931158i	$0.381200\pi$
$907$	−19.0557	+	30.2339i	−0.632734	+	1.00390i	−0.997351	+	0.0727436i	$0.976825\pi$
$908$	0.454710	−	7.80707i	0.0150901	−	0.259087i
$909$	9.78798	−	0.137428i	0.324647	−	0.00455821i
$910$	13.6579	−	8.98292i	0.452754	−	0.297781i
$911$	−12.9037	+	7.78742i	−0.427518	+	0.258009i	−0.714095	−	0.700049i	$-0.753162\pi$
$911$	−12.9037	+	7.78742i	−0.427518	+	0.258009i	0.286577	+	0.958057i	$0.407483\pi$
$912$	21.3014	+	5.32772i	0.705360	+	0.176419i
$913$	−84.7853	+	34.6386i	−2.80598	+	1.14637i
$914$	−28.4656	−	35.2918i	−0.941557	−	1.16735i
$915$	−95.1511	−	19.9128i	−3.14560	−	0.658296i
$916$	16.9418	+	24.7017i	0.559772	+	0.816168i
$917$	−0.453883	−	2.57410i	−0.0149885	−	0.0850042i
$918$	19.8648	−	29.0674i	0.655636	−	0.959366i
$919$	2.65026	−	15.0303i	0.0874239	−	0.495805i	−0.909383	−	0.415959i	$-0.863446\pi$
$919$	2.65026	−	15.0303i	0.0874239	−	0.495805i	0.996807	−	0.0798462i	$-0.0254429\pi$
$920$	−1.65579	+	0.752650i	−0.0545899	+	0.0248141i
$921$	−7.95471	+	7.04103i	−0.262117	+	0.232010i
$922$	−40.3407	−	7.92265i	−1.32855	−	0.260919i
$923$	49.7100	+	15.9389i	1.63622	+	0.524634i
$924$	6.05634	−	1.35646i	0.199239	−	0.0446243i
$925$	−33.6957	−	38.6110i	−1.10791	−	1.26952i
$926$	36.7679	−	49.3879i	1.20827	−	1.62299i
$927$	−12.9741	+	16.5558i	−0.426127	+	0.543763i
$928$	−2.82042	+	6.53848i	−0.0925849	+	0.214636i
$929$	−6.31847	−	5.73370i	−0.207302	−	0.188117i	0.561742	−	0.827313i	$-0.310131\pi$
$929$	−6.31847	−	5.73370i	−0.207302	−	0.188117i	−0.769044	+	0.639196i	$0.779267\pi$
$930$	−66.6168	−	11.2648i	−2.18445	−	0.369386i
$931$	4.69003	−	18.2078i	0.153710	−	0.596738i
$932$	−30.8395	−	30.2472i	−1.01018	−	0.990780i
$933$	3.93763	+	4.62633i	0.128912	+	0.151459i
$934$	−12.2154	+	56.3928i	−0.399701	+	1.84523i
$935$	−49.1911	−	66.0751i	−1.60872	−	2.16089i
$936$	−2.01144	−	13.3281i	−0.0657460	−	0.435641i
$937$	−44.1801	−	5.16392i	−1.44330	−	0.168698i	−0.641884	−	0.766802i	$-0.721847\pi$
$937$	−44.1801	−	5.16392i	−1.44330	−	0.168698i	−0.801418	+	0.598104i	$0.795921\pi$
$938$	−5.32812	+	1.04641i	−0.173969	+	0.0341665i
$939$	−6.39778	−	15.3512i	−0.208784	−	0.500968i
$940$	−5.65405	−	26.1020i	−0.184415	−	0.851353i
$941$	−6.01838	+	6.89630i	−0.196194	+	0.224813i	−0.843100	−	0.537756i	$-0.819272\pi$
$941$	−6.01838	+	6.89630i	−0.196194	+	0.224813i	0.646907	+	0.762569i	$0.276062\pi$
$942$	1.73546	−	3.19809i	0.0565443	−	0.104199i
$943$	−1.78989	−	1.27933i	−0.0582868	−	0.0416609i
$944$	7.20753	+	6.04783i	0.234585	+	0.196840i
$945$	−5.81638	+	4.52357i	−0.189207	+	0.147152i
$946$	−40.4123	+	33.9100i	−1.31392	+	1.10251i
$947$	−55.6480	+	4.32531i	−1.80832	+	0.140554i	−0.936812	−	0.349832i	$-0.886239\pi$
$947$	−55.6480	+	4.32531i	−1.80832	+	0.140554i	−0.871506	+	0.490386i	$0.836856\pi$
$948$	8.51281	+	5.28228i	0.276483	+	0.171561i
$949$	14.8181	−	38.3799i	0.481016	−	1.24586i
$950$	6.84747	−	50.1323i	0.222161	−	1.62651i
$951$	−22.7098	+	50.9061i	−0.736417	+	1.65074i
$952$	0.854555	+	0.471523i	0.0276963	+	0.0152822i
$953$	2.01650	+	34.6220i	0.0653208	+	1.12152i	0.858596	+	0.512652i	$0.171337\pi$
$953$	2.01650	+	34.6220i	0.0653208	+	1.12152i	−0.793276	+	0.608863i	$0.791626\pi$
$954$	16.7397	+	8.11474i	0.541968	+	0.262725i
$955$	15.8612	−	7.96578i	0.513255	−	0.257766i
$956$	0.187221	+	0.355431i	0.00605517	+	0.0114955i
$957$	9.70892	−	2.98108i	0.313845	−	0.0963647i
$958$	37.0759	+	16.8531i	1.19787	+	0.544498i
$959$	−1.66469	+	2.42718i	−0.0537558	+	0.0783779i
$960$	22.2670	−	21.3052i	0.718664	−	0.687623i
$961$	0.320686	+	2.34784i	0.0103447	+	0.0757366i
$962$	−59.1366	−	14.0156i	−1.90664	−	0.451882i
$963$	12.8565	−	34.7430i	0.414293	−	1.11958i
$964$	24.9401	+	26.4350i	0.803267	+	0.851413i
$965$	62.9405	+	9.84371i	2.02613	+	0.316880i
$966$	0.778573	+	0.00963358i	0.0250502	+	0.000309955i
$967$	2.70101	−	0.104812i	0.0868587	−	0.00337051i	0.00469061	−	0.999989i	$-0.498507\pi$
$967$	2.70101	−	0.104812i	0.0868587	−	0.00337051i	0.0821681	+	0.996618i	$0.473816\pi$
$968$	−16.0096	−	9.66184i	−0.514568	−	0.310543i
$969$	−4.42300	+	16.3319i	−0.142087	+	0.524656i
$970$	−88.9338	−	24.7564i	−2.85549	−	0.794880i
$971$	−59.8330			−1.92013			−0.960067	−	0.279772i	$-0.909741\pi$
$971$	−59.8330			−1.92013			−0.960067	+	0.279772i	$0.909741\pi$
$972$	−5.69870	−	24.4459i	−0.182786	−	0.784103i
$973$	−2.54486			−0.0815845
$974$	66.6077	+	18.5415i	2.13425	+	0.594108i
$975$	−98.7399	+	26.1742i	−3.16221	+	0.838246i
$976$	57.9577	+	34.9776i	1.85518	+	1.11961i
$977$	52.7776	−	2.04801i	1.68851	−	0.0655217i	0.823511	−	0.567301i	$-0.192012\pi$
$977$	52.7776	−	2.04801i	1.68851	−	0.0655217i	0.864996	+	0.501779i	$0.167321\pi$
$978$	5.66970	−	9.54549i	0.181297	−	0.305231i
$979$	−32.0195	−	5.00775i	−1.02335	−	0.160049i
$980$	−29.0987	−	30.8428i	−0.929524	−	0.985238i
$981$	−3.58347	−	10.0119i	−0.114411	−	0.319656i
$982$	−32.4220	−	7.68414i	−1.03463	−	0.245211i
$983$	5.80444	+	42.4960i	0.185133	+	1.35541i	0.815339	+	0.578984i	$0.196551\pi$
$983$	5.80444	+	42.4960i	0.185133	+	1.35541i	−0.630206	+	0.776428i	$0.717030\pi$
$984$	−4.23192	−	1.23465i	−0.134909	−	0.0393593i
$985$	−1.61638	+	2.35674i	−0.0515023	+	0.0750921i
$986$	−6.00726	−	2.73064i	−0.191310	−	0.0869612i
$987$	0.619272	−	2.69715i	0.0197117	−	0.0858512i
$988$	−12.4731	−	23.6795i	−0.396821	−	0.753347i
$989$	−2.63797	+	1.32484i	−0.0838825	+	0.0421274i
$990$	−130.989	−	13.4491i	−4.16309	−	0.427442i
$991$	−0.269012	−	4.61875i	−0.00854544	−	0.146720i	−0.999882	−	0.0153722i	$-0.995107\pi$
$991$	−0.269012	−	4.61875i	−0.00854544	−	0.146720i	0.991336	−	0.131347i	$-0.0419303\pi$
$992$	34.2542	+	18.9006i	1.08757	+	0.600096i
$993$	−18.7760	+	1.95945i	−0.595839	+	0.0621811i
$994$	−0.817717	+	5.98675i	−0.0259364	+	0.189888i
$995$	12.6305	−	32.7139i	0.400415	−	1.03710i
$996$	37.3976	−	20.0356i	1.18499	−	0.634852i
$997$	35.5830	−	2.76573i	1.12692	−	0.0875915i	0.499532	−	0.866295i	$-0.333505\pi$
$997$	35.5830	−	2.76573i	1.12692	−	0.0875915i	0.627392	+	0.778704i	$0.284122\pi$
$998$	−30.6069	+	25.6823i	−0.968845	+	0.812957i
$999$	27.0718	+	4.18774i	0.856515	+	0.132494i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	243.2.i.a.103.6	✓	1404
3.2	odd	2		729.2.i.a.685.21		1404
243.92	odd	162		729.2.i.a.613.21		1404
243.151	even	81	inner	243.2.i.a.151.6	yes	1404

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
243.2.i.a.103.6	✓	1404	1.1	even	1	trivial
243.2.i.a.151.6	yes	1404	243.151	even	81	inner
729.2.i.a.613.21		1404	243.92	odd	162
729.2.i.a.685.21		1404	3.2	odd	2

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

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	243.2.i.a.103.6

Level	$243$
Weight	$2$
Character	243.103
Analytic conductor	$1.940$
Analytic rank	$0$
Dimension	$1404$
Inner twists	$2$