LMFDB - Embedded newform 357.2.bl.a.10.21

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [357,2,Mod(10,357)] 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("357.10"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(357, base_ring=CyclotomicField(48)) chi = DirichletCharacter(H, H._module([0, 8, 9])) N = Newforms(chi, 2, names="a")

Level:	$N$	$=$	$357 = 3 \cdot 7 \cdot 17$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	357.bl (of order $48$ , degree $16$ , minimal)

Newform invariants

comment:select newform

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

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

Self dual:	no
Analytic conductor:	$2.85065935216$
Analytic rank:	$0$
Dimension:	$384$
Relative dimension:	$24$ over $\Q(\zeta_{48})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label			10.21
Character	$\chi$	$=$	357.10
Dual form			357.2.bl.a.250.21

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.17601 - 0.286477i) q^{2} +(-0.442289 - 0.896873i) q^{3} +(2.72109 - 0.729115i) q^{4} +(1.07834 - 0.945678i) q^{5} +(-1.21936 - 1.82490i) q^{6} +(0.241071 - 2.63475i) q^{7} +(1.65682 - 0.686276i) q^{8} +(-0.608761 + 0.793353i) q^{9} +(2.07556 - 2.36672i) q^{10} +(-4.77367 + 0.312883i) q^{11} +(-1.85743 - 2.11800i) q^{12} +(4.50138 + 4.50138i) q^{13} +(-0.230220 - 5.80229i) q^{14} +(-1.32509 - 0.548870i) q^{15} +(-1.47069 + 0.849103i) q^{16} +(4.08363 + 0.569174i) q^{17} +(-1.09739 + 1.90074i) q^{18} +(-0.367867 - 2.79423i) q^{19} +(2.24475 - 3.35951i) q^{20} +(-2.46965 + 0.949108i) q^{21} +(-10.2979 + 2.04838i) q^{22} +(1.14225 + 0.563294i) q^{23} +(-1.34829 - 1.18242i) q^{24} +(-0.384123 + 2.91770i) q^{25} +(11.0846 + 8.50551i) q^{26} +(0.980785 + 0.195090i) q^{27} +(-1.26505 - 7.34516i) q^{28} +(0.234713 + 1.17998i) q^{29} +(-3.04065 - 0.814738i) q^{30} +(1.66173 - 0.819477i) q^{31} +(-5.80246 + 4.45239i) q^{32} +(2.39196 + 4.14299i) q^{33} +(9.04907 + 0.0686616i) q^{34} +(-2.23166 - 3.06912i) q^{35} +(-1.07805 + 2.60265i) q^{36} +(0.312376 - 4.76594i) q^{37} +(-1.60097 - 5.97489i) q^{38} +(2.04626 - 6.02808i) q^{39} +(1.13761 - 2.30685i) q^{40} +(-2.29246 + 11.5250i) q^{41} +(-5.10209 + 2.77277i) q^{42} +(2.19051 + 5.28837i) q^{43} +(-12.7615 + 4.33194i) q^{44} +(0.0938055 + 1.43120i) q^{45} +(2.64691 + 0.898506i) q^{46} +(1.67824 - 6.26327i) q^{47} +(1.41201 + 0.943472i) q^{48} +(-6.88377 - 1.27032i) q^{49} +6.45899i q^{50} +(-1.29567 - 3.91424i) q^{51} +(15.5307 + 8.96666i) q^{52} +(-1.55650 - 2.02848i) q^{53} +(2.19009 + 0.143546i) q^{54} +(-4.85174 + 4.85174i) q^{55} +(-1.40875 - 4.53073i) q^{56} +(-2.34337 + 1.56579i) q^{57} +(0.848774 + 2.50041i) q^{58} +(-10.5929 - 1.39458i) q^{59} +(-4.00588 - 0.527384i) q^{60} +(-3.94372 - 11.6178i) q^{61} +(3.38119 - 2.25924i) q^{62} +(1.94353 + 1.79519i) q^{63} +(-8.94908 + 8.94908i) q^{64} +(9.11087 + 0.597158i) q^{65} +(6.39179 + 8.32994i) q^{66} +(6.44146 + 3.71898i) q^{67} +(11.5269 - 1.42866i) q^{68} -1.27359i q^{69} +(-5.73535 - 6.03912i) q^{70} +(-5.14800 - 3.43979i) q^{71} +(-0.464147 + 1.73222i) q^{72} +(1.15208 + 0.391078i) q^{73} +(-0.685599 - 10.4602i) q^{74} +(2.78670 - 0.945958i) q^{75} +(-3.03832 - 7.33515i) q^{76} +(-0.326429 + 12.6528i) q^{77} +(2.72577 - 13.7034i) q^{78} +(-7.56194 + 15.3341i) q^{79} +(-0.782923 + 2.30642i) q^{80} +(-0.258819 - 0.965926i) q^{81} +(-1.68677 + 25.7352i) q^{82} +(-2.46624 + 5.95403i) q^{83} +(-6.02815 + 4.38327i) q^{84} +(4.94179 - 3.24804i) q^{85} +(6.28158 + 10.8800i) q^{86} +(0.954481 - 0.732399i) q^{87} +(-7.69436 + 3.79444i) q^{88} +(-8.90368 - 2.38573i) q^{89} +(0.614126 + 3.08742i) q^{90} +(12.9452 - 10.7748i) q^{91} +(3.51887 + 0.699947i) q^{92} +(-1.46993 - 1.12792i) q^{93} +(1.85758 - 14.1097i) q^{94} +(-3.03913 - 2.66524i) q^{95} +(6.55959 + 3.23483i) q^{96} +(6.87580 - 1.36768i) q^{97} +(-15.3431 - 0.792195i) q^{98} +(2.65780 - 3.97768i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$384 q - 16 q^{11} + 32 q^{14} - 64 q^{22} - 16 q^{25} - 48 q^{28} - 64 q^{30} - 64 q^{35} - 32 q^{37} - 48 q^{42} - 64 q^{44} + 32 q^{46} - 64 q^{49} + 80 q^{56} - 32 q^{58} - 288 q^{61} - 528 q^{68} + 176 q^{70}+ \cdots + 32 q^{99}+O(q^{100})$ 384 * q - 16 * q^11 + 32 * q^14 - 64 * q^22 - 16 * q^25 - 48 * q^28 - 64 * q^30 - 64 * q^35 - 32 * q^37 - 48 * q^42 - 64 * q^44 + 32 * q^46 - 64 * q^49 + 80 * q^56 - 32 * q^58 - 288 * q^61 - 528 * q^68 + 176 * q^70 + 64 * q^71 - 48 * q^73 - 128 * q^74 + 96 * q^77 + 128 * q^78 - 480 * q^80 - 240 * q^82 + 32 * q^85 - 144 * q^87 - 96 * q^88 - 64 * q^91 + 320 * q^92 - 192 * q^94 - 64 * q^95 + 32 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/357\mathbb{Z}\right)^\times$ .

$n$	$52$	$190$	$239$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{16}\right)$	$1$

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

)

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

$2$	2.17601	−	0.286477i	1.53867	−	0.202570i	0.687004	−	0.726654i	$-0.258925\pi$
$2$	2.17601	−	0.286477i	1.53867	−	0.202570i	0.851667	+	0.524084i	$0.175592\pi$
$3$	−0.442289	−	0.896873i	−0.255355	−	0.517810i
$3$	−0.442289	−	0.896873i	−0.255355	−	0.517810i
$4$	2.72109	−	0.729115i	1.36055	−	0.364558i
$5$	1.07834	−	0.945678i	0.482248	−	0.422920i	−0.383393	−	0.923585i	$-0.625245\pi$
$5$	1.07834	−	0.945678i	0.482248	−	0.422920i	0.865641	+	0.500665i	$0.166911\pi$
$6$	−1.21936	−	1.82490i	−0.497801	−	0.745011i
$7$	0.241071	−	2.63475i	0.0911164	−	0.995840i
$7$	0.241071	−	2.63475i	0.0911164	−	0.995840i
$8$	1.65682	−	0.686276i	0.585773	−	0.242635i
$9$	−0.608761	+	0.793353i	−0.202920	+	0.264451i
$10$	2.07556	−	2.36672i	0.656350	−	0.748423i
$11$	−4.77367	+	0.312883i	−1.43932	+	0.0943377i	−0.764964	−	0.644073i	$-0.777243\pi$
$11$	−4.77367	+	0.312883i	−1.43932	+	0.0943377i	−0.674351	+	0.738411i	$0.735577\pi$
$12$	−1.85743	−	2.11800i	−0.536195	−	0.611413i
$13$	4.50138	+	4.50138i	1.24846	+	1.24846i	0.956400	+	0.292059i	$0.0943403\pi$
$13$	4.50138	+	4.50138i	1.24846	+	1.24846i	0.292059	+	0.956400i	$0.405660\pi$
$14$	−0.230220	−	5.80229i	−0.0615290	−	1.55073i
$15$	−1.32509	−	0.548870i	−0.342137	−	0.141718i
$16$	−1.47069	+	0.849103i	−0.367672	+	0.212276i
$17$	4.08363	+	0.569174i	0.990426	+	0.138045i
$17$	4.08363	+	0.569174i	0.990426	+	0.138045i
$18$	−1.09739	+	1.90074i	−0.258658	+	0.448009i
$19$	−0.367867	−	2.79423i	−0.0843946	−	0.641041i	−0.980403	−	0.197003i	$-0.936879\pi$
$19$	−0.367867	−	2.79423i	−0.0843946	−	0.641041i	0.896008	−	0.444037i	$-0.146454\pi$
$20$	2.24475	−	3.35951i	0.501942	−	0.751209i
$21$	−2.46965	+	0.949108i	−0.538923	+	0.207112i
$22$	−10.2979	+	2.04838i	−2.19552	+	0.436716i
$23$	1.14225	+	0.563294i	0.238175	+	0.117455i	0.557460	−	0.830204i	$-0.311776\pi$
$23$	1.14225	+	0.563294i	0.238175	+	0.117455i	−0.319285	+	0.947659i	$0.603443\pi$
$24$	−1.34829	−	1.18242i	−0.275219	−	0.241361i
$25$	−0.384123	+	2.91770i	−0.0768246	+	0.583541i
$26$	11.0846	+	8.50551i	2.17387	+	1.66807i
$27$	0.980785	+	0.195090i	0.188752	+	0.0375451i
$28$	−1.26505	−	7.34516i	−0.239073	−	1.38810i
$29$	0.234713	+	1.17998i	0.0435850	+	0.219117i	0.996439	−	0.0843109i	$-0.0268689\pi$
$29$	0.234713	+	1.17998i	0.0435850	+	0.219117i	−0.952854	+	0.303428i	$0.901869\pi$
$30$	−3.04065	−	0.814738i	−0.555143	−	0.148750i
$31$	1.66173	−	0.819477i	0.298456	−	0.147182i	−0.286895	−	0.957962i	$-0.592623\pi$
$31$	1.66173	−	0.819477i	0.298456	−	0.147182i	0.585352	+	0.810780i	$0.300956\pi$
$32$	−5.80246	+	4.45239i	−1.02574	+	0.787078i
$33$	2.39196	+	4.14299i	0.416386	+	0.721202i
$34$	9.04907	+	0.0686616i	1.55190	+	0.0117754i
$35$	−2.23166	−	3.06912i	−0.377220	−	0.518777i
$36$	−1.07805	+	2.60265i	−0.179675	+	0.433774i
$37$	0.312376	−	4.76594i	0.0513543	−	0.783515i	−0.892064	−	0.451910i	$-0.850743\pi$
$37$	0.312376	−	4.76594i	0.0513543	−	0.783515i	0.943418	−	0.331606i	$-0.107590\pi$
$38$	−1.60097	−	5.97489i	−0.259711	−	0.969255i
$39$	2.04626	−	6.02808i	0.327663	−	0.965265i
$40$	1.13761	−	2.30685i	0.179872	−	0.364745i
$41$	−2.29246	+	11.5250i	−0.358022	+	1.79990i	0.210903	+	0.977507i	$0.432360\pi$
$41$	−2.29246	+	11.5250i	−0.358022	+	1.79990i	−0.568925	+	0.822390i	$0.692640\pi$
$42$	−5.10209	+	2.77277i	−0.787270	+	0.427847i
$43$	2.19051	+	5.28837i	0.334050	+	0.806469i	0.998262	+	0.0589247i	$0.0187672\pi$
$43$	2.19051	+	5.28837i	0.334050	+	0.806469i	−0.664212	+	0.747544i	$0.731233\pi$
$44$	−12.7615	+	4.33194i	−1.92386	+	0.653064i
$45$	0.0938055	+	1.43120i	0.0139837	+	0.213350i
$46$	2.64691	+	0.898506i	0.390266	+	0.132477i
$47$	1.67824	−	6.26327i	0.244796	−	0.913592i	−0.728689	−	0.684844i	$-0.759870\pi$
$47$	1.67824	−	6.26327i	0.244796	−	0.913592i	0.973486	−	0.228748i	$-0.0734631\pi$
$48$	1.41201	+	0.943472i	0.203806	+	0.136179i
$49$	−6.88377	−	1.27032i	−0.983396	−	0.181475i
$50$			6.45899i			0.913439i
$51$	−1.29567	−	3.91424i	−0.181430	−	0.548103i
$52$	15.5307	+	8.96666i	2.15372	+	1.24345i
$53$	−1.55650	−	2.02848i	−0.213802	−	0.278633i	0.674124	−	0.738618i	$-0.264521\pi$
$53$	−1.55650	−	2.02848i	−0.213802	−	0.278633i	−0.887926	+	0.459985i	$0.847855\pi$
$54$	2.19009	+	0.143546i	0.298033	+	0.0195341i
$55$	−4.85174	+	4.85174i	−0.654209	+	0.654209i
$56$	−1.40875	−	4.53073i	−0.188252	−	0.605444i
$57$	−2.34337	+	1.56579i	−0.310386	+	0.207394i
$58$	0.848774	+	2.50041i	0.111449	+	0.328320i
$59$	−10.5929	−	1.39458i	−1.37908	−	0.181559i	−0.595751	−	0.803169i	$-0.703145\pi$
$59$	−10.5929	−	1.39458i	−1.37908	−	0.181559i	−0.783327	+	0.621610i	$0.786479\pi$
$60$	−4.00588	−	0.527384i	−0.517157	−	0.0680850i
$61$	−3.94372	−	11.6178i	−0.504942	−	1.48751i	−0.838563	−	0.544804i	$-0.816604\pi$
$61$	−3.94372	−	11.6178i	−0.504942	−	1.48751i	0.333621	−	0.942707i	$-0.391729\pi$
$62$	3.38119	−	2.25924i	0.429411	−	0.286923i
$63$	1.94353	+	1.79519i	0.244862	+	0.226172i
$64$	−8.94908	+	8.94908i	−1.11864	+	1.11864i
$65$	9.11087	+	0.597158i	1.13006	+	0.0740684i
$66$	6.39179	+	8.32994i	0.786775	+	1.02534i
$67$	6.44146	+	3.71898i	0.786949	+	0.454345i	0.838887	−	0.544305i	$-0.183207\pi$
$67$	6.44146	+	3.71898i	0.786949	+	0.454345i	−0.0519381	+	0.998650i	$0.516540\pi$
$68$	11.5269	−	1.42866i	1.39785	−	0.173250i
$69$		−	1.27359i		−	0.153322i
$70$	−5.73535	−	6.03912i	−0.685506	−	0.721813i
$71$	−5.14800	−	3.43979i	−0.610956	−	0.408227i	0.211239	−	0.977435i	$-0.432250\pi$
$71$	−5.14800	−	3.43979i	−0.610956	−	0.408227i	−0.822194	+	0.569207i	$0.807250\pi$
$72$	−0.464147	+	1.73222i	−0.0547002	+	0.204144i
$73$	1.15208	+	0.391078i	0.134840	+	0.0457722i	0.388044	−	0.921641i	$-0.373151\pi$
$73$	1.15208	+	0.391078i	0.134840	+	0.0457722i	−0.253203	+	0.967413i	$0.581484\pi$
$74$	−0.685599	−	10.4602i	−0.0796992	−	1.21597i
$75$	2.78670	−	0.945958i	0.321781	−	0.109230i
$76$	−3.03832	−	7.33515i	−0.348519	−	0.841399i
$77$	−0.326429	+	12.6528i	−0.0372000	+	1.44192i
$78$	2.72577	−	13.7034i	0.308632	−	1.55160i
$79$	−7.56194	+	15.3341i	−0.850784	+	1.72522i	−0.179863	+	0.983692i	$0.557566\pi$
$79$	−7.56194	+	15.3341i	−0.850784	+	1.72522i	−0.670921	+	0.741529i	$0.734101\pi$
$80$	−0.782923	+	2.30642i	−0.0875335	+	0.257865i
$81$	−0.258819	−	0.965926i	−0.0287577	−	0.107325i
$82$	−1.68677	+	25.7352i	−0.186273	+	2.84197i
$83$	−2.46624	+	5.95403i	−0.270705	+	0.653540i	−0.999514	−	0.0311775i	$-0.990074\pi$
$83$	−2.46624	+	5.95403i	−0.270705	+	0.653540i	0.728809	+	0.684717i	$0.240074\pi$
$84$	−6.02815	+	4.38327i	−0.657726	+	0.478254i
$85$	4.94179	−	3.24804i	0.536013	−	0.352299i
$86$	6.28158	+	10.8800i	0.677360	+	1.17322i
$87$	0.954481	−	0.732399i	0.102331	−	0.0785214i
$88$	−7.69436	+	3.79444i	−0.820222	+	0.404489i
$89$	−8.90368	−	2.38573i	−0.943788	−	0.252887i	−0.246064	−	0.969254i	$-0.579137\pi$
$89$	−8.90368	−	2.38573i	−0.943788	−	0.252887i	−0.697724	+	0.716366i	$0.745804\pi$
$90$	0.614126	+	3.08742i	0.0647346	+	0.325443i
$91$	12.9452	−	10.7748i	1.35702	−	1.12951i
$92$	3.51887	+	0.699947i	0.366868	+	0.0729745i
$93$	−1.46993	−	1.12792i	−0.152425	−	0.116960i
$94$	1.85758	−	14.1097i	0.191595	−	1.45531i
$95$	−3.03913	−	2.66524i	−0.311808	−	0.273448i
$96$	6.55959	+	3.23483i	0.669485	+	0.330154i
$97$	6.87580	−	1.36768i	0.698132	−	0.138867i	0.166750	−	0.985999i	$-0.446673\pi$
$97$	6.87580	−	1.36768i	0.698132	−	0.138867i	0.531382	+	0.847132i	$0.321673\pi$
$98$	−15.3431	−	0.792195i	−1.54988	−	0.0800237i
$99$	2.65780	−	3.97768i	0.267119	−	0.399772i
$100$	1.08211	+	8.21941i	0.108211	+	0.821941i
$101$	2.87274	−	4.97573i	0.285848	−	0.495104i	−0.686966	−	0.726689i	$-0.741058\pi$
$101$	2.87274	−	4.97573i	0.285848	−	0.495104i	0.972815	+	0.231585i	$0.0743913\pi$
$102$	−3.94072	−	8.14623i	−0.390190	−	0.806597i
$103$	7.94638	−	4.58784i	0.782980	−	0.452054i	−0.0545056	−	0.998513i	$-0.517358\pi$
$103$	7.94638	−	4.58784i	0.782980	−	0.452054i	0.837485	+	0.546460i	$0.184025\pi$
$104$	10.5472	+	4.36877i	1.03423	+	0.428393i
$105$	−1.76557	+	3.35896i	−0.172302	+	0.327801i
$106$	−3.96808	−	3.96808i	−0.385414	−	0.385414i
$107$	−4.73477	−	5.39898i	−0.457728	−	0.521939i	0.476230	−	0.879321i	$-0.342003\pi$
$107$	−4.73477	−	5.39898i	−0.457728	−	0.521939i	−0.933958	+	0.357382i	$0.883669\pi$
$108$	2.81105	−	0.184246i	0.270494	−	0.0177291i
$109$	10.8840	−	12.4109i	1.04250	−	1.18874i	0.0608321	−	0.998148i	$-0.480625\pi$
$109$	10.8840	−	12.4109i	1.04250	−	1.18874i	0.981669	−	0.190596i	$-0.0610421\pi$
$110$	−9.16753	+	11.9474i	−0.874089	+	1.13914i
$111$	−4.41260	+	1.82776i	−0.418825	+	0.173483i
$112$	1.88263	+	4.07959i	0.177892	+	0.385485i
$113$	−9.51296	−	14.2371i	−0.894904	−	1.33932i	−0.940299	−	0.340349i	$-0.889455\pi$
$113$	−9.51296	−	14.2371i	−0.894904	−	1.33932i	0.0453954	−	0.998969i	$-0.485545\pi$
$114$	−4.65062	+	4.07849i	−0.435571	+	0.381985i
$115$	1.76443	−	0.472776i	0.164534	−	0.0440866i
$116$	1.49902	+	3.03970i	0.139180	+	0.282229i
$117$	−6.31146	+	0.830919i	−0.583494	+	0.0768185i
$118$	−23.4497			−2.15872
$119$	2.48408	−	10.6221i	0.227715	−	0.973728i
$120$	−2.57211			−0.234800
$121$	11.7841	−	1.55141i	1.07128	−	0.141037i
$122$	−11.9098	−	24.1507i	−1.07826	−	2.18650i
$123$	11.3504	−	3.04132i	1.02343	−	0.274226i
$124$	3.92424	−	3.44147i	0.352407	−	0.309053i
$125$	6.32917	+	9.47227i	0.566098	+	0.847226i
$126$	4.74342	+	3.34957i	0.422577	+	0.298403i
$127$	6.67577	−	2.76520i	0.592379	−	0.245371i	−0.0662948	−	0.997800i	$-0.521118\pi$
$127$	6.67577	−	2.76520i	0.592379	−	0.245371i	0.658674	+	0.752429i	$0.271118\pi$
$128$	−8.00480	+	10.4321i	−0.707531	+	0.922073i
$129$	3.77416	−	4.30360i	0.332296	−	0.378911i
$130$	19.9964	−	1.31063i	1.75380	−	0.114950i
$131$	6.44099	+	7.34454i	0.562752	+	0.641695i	0.961317	−	0.275445i	$-0.0888251\pi$
$131$	6.44099	+	7.34454i	0.562752	+	0.641695i	−0.398565	+	0.917140i	$0.630492\pi$
$132$	9.52945	+	9.52945i	0.829432	+	0.829432i
$133$	−7.45077	+	0.295628i	−0.646064	+	0.0256342i
$134$	15.0821	+	6.24720i	1.30289	+	0.539676i
$135$	1.24211	−	0.717133i	0.106904	−	0.0617210i
$136$	7.15643	−	1.85948i	0.613659	−	0.159449i
$137$	1.51625	−	2.62622i	0.129542	−	0.224373i	−0.793957	−	0.607973i	$-0.791983\pi$
$137$	1.51625	−	2.62622i	0.129542	−	0.224373i	0.923499	+	0.383601i	$0.125316\pi$
$138$	−0.364854	−	2.77134i	−0.0310585	−	0.235912i
$139$	10.5174	−	15.7404i	0.892072	−	1.33508i	−0.0496770	−	0.998765i	$-0.515819\pi$
$139$	10.5174	−	15.7404i	0.892072	−	1.33508i	0.941749	−	0.336315i	$-0.109181\pi$
$140$	−8.31031	−	6.72424i	−0.702349	−	0.568302i
$141$	−6.35962	+	1.26501i	−0.535577	+	0.106533i
$142$	−12.1875	−	6.01022i	−1.02275	−	0.504366i
$143$	−22.8965	−	20.0797i	−1.91470	−	1.67915i
$144$	0.221660	−	1.68368i	0.0184717	−	0.140306i
$145$	1.36898	+	1.05046i	0.113688	+	0.0872356i
$146$	2.61897	+	0.520945i	0.216747	+	0.0431137i
$147$	1.90529	+	6.73571i	0.157146	+	0.555552i
$148$	−2.62491	−	13.1963i	−0.215766	−	1.08473i
$149$	−18.4789	−	4.95139i	−1.51385	−	0.405634i	−0.596136	−	0.802883i	$-0.703298\pi$
$149$	−18.4789	−	4.95139i	−1.51385	−	0.405634i	−0.917711	+	0.397249i	$0.869965\pi$
$150$	5.79289	−	2.85674i	0.472988	−	0.233252i
$151$	7.38052	−	5.66327i	0.600618	−	0.460870i	−0.263154	−	0.964754i	$-0.584763\pi$
$151$	7.38052	−	5.66327i	0.600618	−	0.460870i	0.863772	+	0.503884i	$0.168096\pi$
$152$	−2.52710	−	4.37707i	−0.204975	−	0.355027i
$153$	−2.93751	+	2.89327i	−0.237484	+	0.233907i
$154$	2.91443	+	27.6262i	0.234852	+	2.22618i
$155$	1.01695	−	2.45514i	0.0816835	−	0.197201i
$156$	1.17290	−	17.8949i	0.0939068	−	1.43274i
$157$	−0.418117	−	1.56043i	−0.0333693	−	0.124536i	0.947232	−	0.320549i	$-0.103867\pi$
$157$	−0.418117	−	1.56043i	−0.0333693	−	0.124536i	−0.980601	+	0.196013i	$0.937201\pi$
$158$	−12.0620	+	35.5334i	−0.959600	+	2.82689i
$159$	−1.13086	+	2.29316i	−0.0896831	+	0.181859i
$160$	−2.04650	+	10.2884i	−0.161790	+	0.813373i
$161$	1.75950	−	2.87374i	0.138668	−	0.226482i
$162$	−0.839908	−	2.02772i	−0.0659894	−	0.159313i
$163$	−11.6567	+	3.95692i	−0.913025	+	0.309930i	−0.738131	−	0.674657i	$-0.764291\pi$
$163$	−11.6567	+	3.95692i	−0.913025	+	0.309930i	−0.174894	+	0.984587i	$0.555958\pi$
$164$	2.16503	+	33.0320i	0.169060	+	2.57936i
$165$	6.49727	+	2.20553i	0.505812	+	0.171700i
$166$	−3.66087	+	13.6625i	−0.284138	+	1.06042i
$167$	0.780435	+	0.521470i	0.0603918	+	0.0403525i	0.585400	−	0.810745i	$-0.300938\pi$
$167$	0.780435	+	0.521470i	0.0603918	+	0.0403525i	−0.525008	+	0.851097i	$0.675938\pi$
$168$	−3.44041	+	3.26736i	−0.265434	+	0.252082i
$169$			27.5249i			2.11730i
$170$	9.82290	−	8.48347i	0.753382	−	0.650652i
$171$	2.44076	+	1.40917i	0.186649	+	0.107762i
$172$	9.81643	+	12.7930i	0.748496	+	0.975458i
$173$	−2.67180	−	0.175119i	−0.203133	−	0.0133141i	−0.0365032	−	0.999334i	$-0.511622\pi$
$173$	−2.67180	−	0.175119i	−0.203133	−	0.0133141i	−0.166630	+	0.986019i	$0.553289\pi$
$174$	1.86714	−	1.86714i	0.141548	−	0.141548i
$175$	7.59480	+	1.71544i	0.574113	+	0.129675i
$176$	6.75491	−	4.51349i	0.509171	−	0.340217i
$177$	3.43436	+	10.1173i	0.258142	+	0.760462i
$178$	−20.0579	−	2.64068i	−1.50341	−	0.197927i
$179$	−2.87318	−	0.378261i	−0.214751	−	0.0282726i	0.0223827	−	0.999749i	$-0.492875\pi$
$179$	−2.87318	−	0.378261i	−0.214751	−	0.0282726i	−0.237134	+	0.971477i	$0.576208\pi$
$180$	1.29876	+	3.82602i	0.0968038	+	0.285175i
$181$	1.32089	−	0.882593i	0.0981812	−	0.0656026i	−0.505510	−	0.862820i	$-0.668696\pi$
$181$	1.32089	−	0.882593i	0.0981812	−	0.0656026i	0.603692	+	0.797218i	$0.293696\pi$
$182$	25.0820	−	27.1546i	1.85920	−	2.01284i
$183$	−8.67545	+	8.67545i	−0.641308	+	0.641308i
$184$	2.27907	+	0.149378i	0.168015	+	0.0110123i
$185$	−4.17019	−	5.43470i	−0.306599	−	0.399567i
$186$	−3.52171	−	2.03326i	−0.258224	−	0.149086i
$187$	−19.6720	−	1.43935i	−1.43856	−	0.105256i
$188$		−	18.2666i		−	1.33223i
$189$	0.750453	−	2.53709i	0.0545874	−	0.184546i
$190$	−7.37670	−	4.92895i	−0.535162	−	0.357584i
$191$	−3.84211	+	14.3389i	−0.278005	+	1.03753i	0.675795	+	0.737089i	$0.263800\pi$
$191$	−3.84211	+	14.3389i	−0.278005	+	1.03753i	−0.953801	+	0.300440i	$0.902866\pi$
$192$	11.9843	+	4.06811i	0.864890	+	0.293591i
$193$	0.224275	+	3.42177i	0.0161436	+	0.246304i	0.998302	+	0.0582490i	$0.0185517\pi$
$193$	0.224275	+	3.42177i	0.0161436	+	0.246304i	−0.982158	+	0.188055i	$0.939782\pi$
$194$	14.5700	−	4.94585i	1.04606	−	0.355091i
$195$	−3.49406	−	8.43541i	−0.250215	−	0.604072i
$196$	−19.6576	+	1.56239i	−1.40411	+	0.111599i
$197$	−0.419694	+	2.10994i	−0.0299019	+	0.150327i	−0.992852	−	0.119353i	$-0.961918\pi$
$197$	−0.419694	+	2.10994i	−0.0299019	+	0.150327i	0.962950	+	0.269680i	$0.0869180\pi$
$198$	4.64388	−	9.41686i	0.330026	−	0.669227i
$199$	5.77301	−	17.0067i	0.409238	−	1.20558i	−0.525671	−	0.850688i	$-0.676186\pi$
$199$	5.77301	−	17.0067i	0.409238	−	1.20558i	0.934909	−	0.354888i	$-0.115481\pi$
$200$	1.36593	+	5.09771i	0.0965856	+	0.360463i
$201$	0.486466	−	7.42203i	0.0343126	−	0.523510i
$202$	4.82568	−	11.6502i	0.339533	−	0.819706i
$203$	3.16553	−	0.333949i	0.222177	−	0.0234386i
$204$	−6.37956	−	9.70632i	−0.446659	−	0.679578i
$205$	8.42685	+	14.5957i	0.588557	+	1.01941i
$206$	15.9771	−	12.2596i	1.11318	−	0.854170i
$207$	−1.14225	+	0.563294i	−0.0793917	+	0.0391517i
$208$	−10.4423	−	2.79800i	−0.724041	−	0.194006i
$209$	2.63034	+	13.2236i	0.181945	+	0.914698i
$210$	−2.87964	+	7.81492i	−0.198714	+	0.539280i
$211$	−13.5077	−	2.68685i	−0.929908	−	0.184970i	−0.293179	−	0.956058i	$-0.594713\pi$
$211$	−13.5077	−	2.68685i	−0.929908	−	0.184970i	−0.636729	+	0.771087i	$0.719713\pi$
$212$	−5.71439	−	4.38481i	−0.392466	−	0.301150i
$213$	−0.808147	+	6.13848i	−0.0553733	+	0.420602i
$214$	−11.8496	−	10.3918i	−0.810022	−	0.710370i
$215$	7.36321	+	3.63113i	0.502167	+	0.247641i
$216$	1.75887	−	0.349860i	0.119676	−	0.0238050i
$217$	−1.75852	−	4.57580i	−0.119376	−	0.310626i
$218$	20.1283	−	30.1242i	1.36326	−	2.04026i
$219$	−0.158804	−	1.20624i	−0.0107310	−	0.0815099i
$220$	−9.66457	+	16.7395i	−0.651585	+	1.12858i
$221$	15.8199	+	20.9441i	1.06416	+	1.40885i
$222$	−9.07825	+	5.24133i	−0.609292	+	0.351775i
$223$	−7.91340	−	3.27784i	−0.529920	−	0.219500i	0.101648	−	0.994820i	$-0.467588\pi$
$223$	−7.91340	−	3.27784i	−0.529920	−	0.219500i	−0.631568	+	0.775320i	$0.717588\pi$
$224$	10.3321	+	16.3614i	0.690342	+	1.09319i
$225$	−2.08093	−	2.08093i	−0.138729	−	0.138729i
$226$	−24.7789	−	28.2549i	−1.64827	−	1.87949i
$227$	8.68868	−	0.569486i	0.576688	−	0.0377981i	0.225731	−	0.974190i	$-0.427523\pi$
$227$	8.68868	−	0.569486i	0.576688	−	0.0377981i	0.350957	+	0.936392i	$0.385856\pi$
$228$	−5.23488	+	5.96924i	−0.346688	+	0.395322i
$229$	9.09230	−	11.8493i	0.600836	−	0.783025i	−0.389602	−	0.920983i	$-0.627387\pi$
$229$	9.09230	−	11.8493i	0.600836	−	0.783025i	0.990438	+	0.137959i	$0.0440541\pi$
$230$	3.70397	−	1.53423i	0.244232	−	0.101164i
$231$	11.4924	−	5.30344i	0.756141	−	0.348941i
$232$	1.19867	+	1.79393i	0.0786964	+	0.117777i
$233$	−15.3324	+	13.4462i	−1.00446	+	0.880888i	−0.992889	−	0.119045i	$-0.962017\pi$
$233$	−15.3324	+	13.4462i	−1.00446	+	0.880888i	−0.0115718	+	0.999933i	$0.503684\pi$
$234$	−13.4957	+	3.61617i	−0.882245	+	0.236397i
$235$	−4.11333	−	8.34100i	−0.268324	−	0.544107i
$236$	−29.8411	+	3.92865i	−1.94249	+	0.255733i
$237$	17.0973			1.11059
$238$	2.36238	−	23.8255i	0.153130	−	1.54437i
$239$	15.4216			0.997543			0.498772	−	0.866733i	$-0.333785\pi$
$239$	15.4216			0.997543			0.498772	+	0.866733i	$0.333785\pi$
$240$	2.41484	−	0.317920i	0.155877	−	0.0205216i
$241$	6.42935	+	13.0374i	0.414151	+	0.839815i	0.999577	+	0.0290891i	$0.00926065\pi$
$241$	6.42935	+	13.0374i	0.414151	+	0.839815i	−0.585426	+	0.810726i	$0.699073\pi$
$242$	25.1979	−	6.75176i	1.61978	−	0.434019i
$243$	−0.751840	+	0.659346i	−0.0482305	+	0.0422971i
$244$	−19.2020	−	28.7378i	−1.22928	−	1.83975i
$245$	−8.62435	+	5.13999i	−0.550990	+	0.328382i
$246$	23.8272	−	9.86955i	1.51917	−	0.629259i
$247$	10.9220	−	14.2338i	0.694950	−	0.905676i
$248$	2.19080	−	2.49813i	0.139116	−	0.158631i
$249$	6.43080	−	0.421497i	0.407535	−	0.0267113i
$250$	16.4859	+	18.7986i	1.04266	+	1.18893i
$251$	−3.63027	−	3.63027i	−0.229140	−	0.229140i	0.583193	−	0.812334i	$-0.301803\pi$
$251$	−3.63027	−	3.63027i	−0.229140	−	0.229140i	−0.812334	+	0.583193i	$0.801803\pi$
$252$	6.59742	+	3.46781i	0.415599	+	0.218452i
$253$	−5.62896	−	2.33159i	−0.353890	−	0.146586i
$254$	13.7344	−	7.92955i	0.861771	−	0.497544i
$255$	−5.09877	−	2.99559i	−0.319298	−	0.187591i
$256$	−1.77406	+	3.07276i	−0.110879	+	0.192048i
$257$	1.49236	+	11.3356i	0.0930907	+	0.707094i	0.972811	+	0.231602i	$0.0743966\pi$
$257$	1.49236	+	11.3356i	0.0930907	+	0.707094i	−0.879720	+	0.475492i	$0.842270\pi$
$258$	6.97971	−	10.4459i	0.434538	−	0.650332i
$259$	−12.4817	−	1.97196i	−0.775577	−	0.122532i
$260$	25.2269	−	5.01795i	1.56451	−	0.311200i
$261$	−1.07903	−	0.532116i	−0.0667900	−	0.0329372i
$262$	16.1197	+	14.1366i	0.995878	+	0.873361i
$263$	1.82066	−	13.8293i	0.112267	−	0.852751i	−0.838946	−	0.544215i	$-0.816828\pi$
$263$	1.82066	−	13.8293i	0.112267	−	0.852751i	0.951213	−	0.308536i	$-0.0998390\pi$
$264$	6.80626	+	5.22263i	0.418896	+	0.321430i
$265$	−3.59672	−	0.715433i	−0.220945	−	0.0439487i
$266$	−16.1283	+	2.77776i	−0.988887	+	0.170316i
$267$	1.79830	+	9.04065i	0.110054	+	0.553279i
$268$	20.2394	+	5.42312i	1.23632	+	0.331270i
$269$	−2.25844	+	1.11374i	−0.137699	+	0.0679058i	−0.509833	−	0.860273i	$-0.670293\pi$
$269$	−2.25844	+	1.11374i	−0.137699	+	0.0679058i	0.372134	+	0.928179i	$0.378626\pi$
$270$	2.49740	−	1.91632i	0.151987	−	0.116624i
$271$	5.34684	+	9.26099i	0.324797	+	0.562565i	0.981471	−	0.191609i	$-0.0613706\pi$
$271$	5.34684	+	9.26099i	0.324797	+	0.562565i	−0.656674	+	0.754175i	$0.728037\pi$
$272$	−6.48904	+	2.63034i	−0.393456	+	0.159488i
$273$	−15.3892	−	6.84456i	−0.931394	−	0.414252i
$274$	2.54702	−	6.14904i	0.153871	−	0.371477i
$275$	0.920776	−	14.0483i	0.0555249	−	0.847146i
$276$	−0.928594	−	3.46556i	−0.0558948	−	0.208602i
$277$	−4.22322	+	12.4412i	−0.253749	+	0.747520i	0.743172	+	0.669101i	$0.233321\pi$
$277$	−4.22322	+	12.4412i	−0.253749	+	0.747520i	−0.996920	+	0.0784193i	$0.975013\pi$
$278$	18.3767	−	37.2642i	1.10216	−	2.23496i
$279$	−0.361465	+	1.81721i	−0.0216404	+	0.108793i
$280$	−5.80372	−	3.55344i	−0.346839	−	0.212358i
$281$	10.9568	+	26.4522i	0.653630	+	1.57800i	0.807471	+	0.589907i	$0.200836\pi$
$281$	10.9568	+	26.4522i	0.653630	+	1.57800i	−0.153841	+	0.988096i	$0.549164\pi$
$282$	−13.4762	+	4.57455i	−0.802496	+	0.272411i
$283$	−0.266950	−	4.07287i	−0.0158685	−	0.242107i	−0.998423	−	0.0561334i	$-0.982123\pi$
$283$	−0.266950	−	4.07287i	−0.0158685	−	0.242107i	0.982555	−	0.185974i	$-0.0595439\pi$
$284$	−16.5162	−	5.60649i	−0.980056	−	0.332684i
$285$	−1.04621	+	3.90452i	−0.0619723	+	0.231284i
$286$	−55.5754	−	37.1343i	−3.28624	−	2.19580i
$287$	29.8127	+	8.81838i	1.75979	+	0.520533i
$288$		−	7.31385i		−	0.430973i
$289$	16.3521	+	4.64859i	0.961887	+	0.273447i
$290$	3.27985	+	1.89362i	0.192599	+	0.111197i
$291$	−4.26772	−	5.56181i	−0.250178	−	0.326039i
$292$	3.42005	+	0.224162i	0.200143	+	0.0131181i
$293$	10.9507	−	10.9507i	0.639746	−	0.639746i	−0.310747	−	0.950493i	$-0.600579\pi$
$293$	10.9507	−	10.9507i	0.639746	−	0.639746i	0.950493	+	0.310747i	$0.100579\pi$
$294$	6.07557	+	14.1112i	0.354334	+	0.822979i
$295$	−12.7416	+	8.51363i	−0.741842	+	0.495683i
$296$	−2.75320	−	8.11066i	−0.160026	−	0.471422i
$297$	−4.74298	−	0.624426i	−0.275216	−	0.0362329i
$298$	−41.6286	−	5.48051i	−2.41148	−	0.317477i
$299$	2.60609	+	7.67730i	0.150714	+	0.443990i
$300$	6.89316	−	4.60587i	0.397977	−	0.265920i
$301$	14.4616	−	4.49657i	0.833552	−	0.259178i
$302$	14.4377	−	14.4377i	0.830795	−	0.830795i
$303$	−5.73318	−	0.375772i	−0.329363	−	0.0215876i
$304$	2.91361	+	3.79709i	0.167107	+	0.217778i
$305$	−15.2394	−	8.79847i	−0.872605	−	0.503799i
$306$	−5.56320	+	7.13731i	−0.318027	+	0.408013i
$307$			21.4072i			1.22178i	0.791717	+	0.610888i	$0.209187\pi$
$307$			21.4072i			1.22178i	−0.791717	+	0.610888i	$0.790813\pi$
$308$	8.33712	+	34.6675i	0.475052	+	1.97537i
$309$	−7.62930	−	5.09774i	−0.434016	−	0.290000i
$310$	1.50956	−	5.63374i	0.0857370	−	0.319975i
$311$	−8.46610	−	2.87386i	−0.480069	−	0.162961i	0.0709065	−	0.997483i	$-0.477411\pi$
$311$	−8.46610	−	2.87386i	−0.480069	−	0.162961i	−0.550975	+	0.834522i	$0.685744\pi$
$312$	−0.746652	−	11.3917i	−0.0422709	−	0.644929i
$313$	−12.1533	+	4.12549i	−0.686946	+	0.233187i	−0.643021	−	0.765848i	$-0.722319\pi$
$313$	−12.1533	+	4.12549i	−0.686946	+	0.233187i	−0.0439244	+	0.999035i	$0.513986\pi$
$314$	−1.35685	−	3.27573i	−0.0765717	−	0.184860i
$315$	3.79345	+	0.0978667i	0.213737	+	0.00551417i
$316$	−9.39643	+	47.2390i	−0.528590	+	2.65740i
$317$	4.53992	−	9.20605i	0.254987	−	0.517063i	−0.731309	−	0.682046i	$-0.761090\pi$
$317$	4.53992	−	9.20605i	0.254987	−	0.517063i	0.986296	+	0.164983i	$0.0527569\pi$
$318$	−1.80383	+	5.31390i	−0.101154	+	0.297989i
$319$	−1.48964	−	5.55940i	−0.0834036	−	0.311266i
$320$	−1.18719	+	18.1131i	−0.0663662	+	1.01255i
$321$	−2.74806	+	6.63440i	−0.153382	+	0.370296i
$322$	3.00543	−	6.75734i	0.167486	−	0.376572i
$323$	0.0881690	−	11.6200i	0.00490585	−	0.646553i
$324$	−1.40854	−	2.43967i	−0.0782523	−	0.135537i
$325$	−14.8628	+	11.4046i	−0.824439	+	0.632614i
$326$	−24.2316	+	11.9497i	−1.34206	+	0.661832i
$327$	−15.9448	−	4.27241i	−0.881752	−	0.236265i
$328$	4.11112	+	20.6680i	0.226999	+	1.14120i
$329$	−16.0976	−	5.93163i	−0.887487	−	0.327021i
$330$	14.7699	+	2.93793i	0.813059	+	0.161727i
$331$	11.2077	+	8.59993i	0.616028	+	0.472695i	0.869022	−	0.494773i	$-0.164749\pi$
$331$	11.2077	+	8.59993i	0.616028	+	0.472695i	−0.252994	+	0.967468i	$0.581415\pi$
$332$	−2.36970	+	17.9997i	−0.130054	+	0.987859i
$333$	3.59091	+	3.14914i	0.196781	+	0.172572i
$334$	1.84762	+	0.911146i	0.101097	+	0.0498557i
$335$	10.4630	−	2.08123i	0.571656	−	0.113709i
$336$	2.82620	−	3.49283i	0.154182	−	0.190550i
$337$	2.45834	−	3.67917i	0.133914	−	0.200417i	−0.758452	−	0.651729i	$-0.774044\pi$
$337$	2.45834	−	3.67917i	0.133914	−	0.200417i	0.892366	+	0.451312i	$0.149044\pi$
$338$	7.88525	+	59.8944i	0.428901	+	3.25783i
$339$	−8.56144	+	14.8288i	−0.464993	+	0.805392i
$340$	11.0789	−	12.4413i	0.600837	−	0.674727i
$341$	−7.67617	+	4.43184i	−0.415688	+	0.239997i
$342$	5.71480	+	2.36715i	0.309021	+	0.128001i
$343$	−5.00646	+	17.8307i	−0.270323	+	0.962770i
$344$	7.25856	+	7.25856i	0.391355	+	0.391355i
$345$	−1.20441	−	1.37336i	−0.0648430	−	0.0739393i
$346$	−5.86403	+	0.384349i	−0.315252	+	0.0206627i
$347$	−19.2653	+	21.9679i	−1.03422	+	1.17930i	−0.0506550	+	0.998716i	$0.516131\pi$
$347$	−19.2653	+	21.9679i	−1.03422	+	1.17930i	−0.983560	+	0.180580i	$0.942202\pi$
$348$	2.06323	−	2.68885i	0.110601	−	0.144138i
$349$	−10.7689	+	4.46060i	−0.576443	+	0.238771i	−0.651806	−	0.758386i	$-0.725988\pi$
$349$	−10.7689	+	4.46060i	−0.576443	+	0.238771i	0.0753629	+	0.997156i	$0.475988\pi$
$350$	17.0178	+	1.55708i	0.909639	+	0.0832293i
$351$	3.53671	+	5.29307i	0.188776	+	0.282523i
$352$	26.3060	−	23.0697i	1.40211	−	1.22962i
$353$	21.3106	−	5.71015i	1.13425	−	0.303921i	0.357611	−	0.933870i	$-0.383591\pi$
$353$	21.3106	−	5.71015i	1.13425	−	0.303921i	0.776636	+	0.629950i	$0.216925\pi$
$354$	10.3716	+	21.0314i	0.551242	+	1.11781i
$355$	−8.80422	+	1.15910i	−0.467279	+	0.0615185i
$356$	−25.9672			−1.37626
$357$	−10.6254	+	2.47014i	−0.562354	+	0.130734i
$358$	−6.36043			−0.336159
$359$	21.8418	−	2.87553i	1.15277	−	0.151765i	0.470181	−	0.882570i	$-0.344189\pi$
$359$	21.8418	−	2.87553i	1.15277	−	0.151765i	0.682586	+	0.730805i	$0.260855\pi$
$360$	1.13761	+	2.30685i	0.0599575	+	0.121582i
$361$	10.6802	−	2.86175i	0.562115	−	0.150618i
$362$	2.62143	−	2.29894i	0.137779	−	0.120829i
$363$	−6.60340	−	9.88268i	−0.346588	−	0.518706i
$364$	27.3689	−	38.7579i	1.43452	−	2.03146i
$365$	1.61216	−	0.667780i	0.0843845	−	0.0349532i
$366$	−16.3925	+	21.3632i	−0.856852	+	1.11667i
$367$	−16.8516	+	19.2156i	−0.879649	+	1.00305i	0.120298	+	0.992738i	$0.461615\pi$
$367$	−16.8516	+	19.2156i	−0.879649	+	1.00305i	−0.999947	+	0.0103091i	$0.996718\pi$
$368$	−2.15819	+	0.141455i	−0.112503	+	0.00737385i
$369$	−7.74781	−	8.83468i	−0.403335	−	0.459915i
$370$	−10.6313	−	10.6313i	−0.552695	−	0.552695i
$371$	−5.71975	+	3.61199i	−0.296955	+	0.187525i
$372$	−4.82221	−	1.99742i	−0.250020	−	0.103562i
$373$	−23.0611	+	13.3143i	−1.19406	+	0.689390i	−0.959225	−	0.282645i	$-0.908788\pi$
$373$	−23.0611	+	13.3143i	−1.19406	+	0.689390i	−0.234834	+	0.972035i	$0.575455\pi$
$374$	−43.2188	+	2.50353i	−2.23479	+	0.129454i
$375$	5.69610	−	9.86594i	0.294146	−	0.509475i
$376$	−1.51780	−	11.5288i	−0.0782745	−	0.594554i
$377$	−4.25501	+	6.36807i	−0.219144	+	0.327973i
$378$	0.906174	−	5.73572i	0.0466086	−	0.295013i
$379$	−14.0282	+	2.79039i	−0.720582	+	0.143333i	−0.541741	−	0.840545i	$-0.682235\pi$
$379$	−14.0282	+	2.79039i	−0.720582	+	0.143333i	−0.178841	+	0.983878i	$0.557235\pi$
$380$	−10.2130	−	5.03650i	−0.523917	−	0.258367i
$381$	−5.43265	−	4.76430i	−0.278323	−	0.244083i
$382$	−4.25268	+	32.3023i	−0.217586	+	1.65273i
$383$	5.13090	+	3.93708i	0.262177	+	0.201175i	0.731482	−	0.681861i	$-0.238829\pi$
$383$	5.13090	+	3.93708i	0.262177	+	0.201175i	−0.469305	+	0.883036i	$0.655496\pi$
$384$	12.8967	+	2.56531i	0.658130	+	0.130910i
$385$	11.6135	+	13.9527i	0.591879	+	0.711097i
$386$	1.46828	+	7.38155i	0.0747335	+	0.375711i
$387$	−5.52905	−	1.48150i	−0.281057	−	0.0753091i
$388$	17.7125	−	8.73484i	0.899216	−	0.443444i
$389$	3.68136	−	2.82481i	0.186652	−	0.143223i	−0.511209	−	0.859457i	$-0.670802\pi$
$389$	3.68136	−	2.82481i	0.186652	−	0.143223i	0.697861	+	0.716233i	$0.254135\pi$
$390$	−10.0197	−	17.3546i	−0.507365	−	0.878782i
$391$	4.34391	+	2.95042i	0.219681	+	0.149209i
$392$	−12.2769	+	2.61947i	−0.620079	+	0.132303i
$393$	3.73834	−	9.02515i	0.188574	−	0.455259i
$394$	−0.308807	+	4.71149i	−0.0155575	+	0.237361i
$395$	6.34678	+	23.6865i	0.319341	+	1.19180i
$396$	4.33194	−	12.7615i	0.217688	−	0.641288i
$397$	−4.32056	+	8.76123i	−0.216843	+	0.439714i	−0.977929	−	0.208937i	$-0.933000\pi$
$397$	−4.32056	+	8.76123i	−0.216843	+	0.439714i	0.761086	+	0.648651i	$0.224666\pi$
$398$	7.69008	−	38.6607i	0.385469	−	1.93788i
$399$	3.56053	+	6.55164i	0.178250	+	0.327992i
$400$	−1.91250	−	4.61719i	−0.0956252	−	0.230860i
$401$	20.3216	−	6.89824i	1.01481	−	0.344482i	0.236008	−	0.971751i	$-0.424161\pi$
$401$	20.3216	−	6.89824i	1.01481	−	0.344482i	0.778802	+	0.627269i	$0.215828\pi$
$402$	−1.06769	−	16.2898i	−0.0532514	−	0.812460i
$403$	11.1689	+	3.79132i	0.556362	+	0.188859i
$404$	4.18912	−	15.6340i	0.208416	−	0.777820i
$405$	−1.19255	−	0.796836i	−0.0592582	−	0.0395951i
$406$	6.79255	−	1.63353i	0.337109	−	0.0810706i
$407$			22.8487i			1.13257i
$408$	−4.83293	−	5.59598i	−0.239265	−	0.277042i
$409$	8.53671	+	4.92867i	0.422113	+	0.243707i	0.695981	−	0.718060i	$-0.254970\pi$
$409$	8.53671	+	4.92867i	0.422113	+	0.243707i	−0.273868	+	0.961767i	$0.588303\pi$
$410$	22.5183	+	29.3464i	1.11210	+	1.44931i
$411$	−3.02600	−	0.198335i	−0.149262	−	0.00978312i
$412$	18.2778	−	18.2778i	0.900481	−	0.900481i
$413$	−6.22801	+	27.5734i	−0.306460	+	1.35680i
$414$	−2.32417	+	1.55296i	−0.114227	+	0.0763239i
$415$	2.97115	+	8.75273i	0.145848	+	0.429655i
$416$	−46.1610	−	6.07721i	−2.26323	−	0.297960i
$417$	−18.7688	−	2.47096i	−0.919113	−	0.121004i
$418$	9.51192	+	28.0212i	0.465243	+	1.37056i
$419$	−0.539090	+	0.360208i	−0.0263363	+	0.0175973i	−0.568669	−	0.822567i	$-0.692541\pi$
$419$	−0.539090	+	0.360208i	−0.0263363	+	0.0175973i	0.542332	+	0.840164i	$0.317541\pi$
$420$	−2.35523	+	10.4273i	−0.114923	+	0.508802i
$421$	20.4073	−	20.4073i	0.994591	−	0.994591i	−0.00539451	−	0.999985i	$-0.501717\pi$
$421$	20.4073	−	20.4073i	0.994591	−	0.994591i	0.999985	+	0.00539451i	$0.00171713\pi$
$422$	−30.1626	−	1.97696i	−1.46829	−	0.0962369i
$423$	3.94734	+	5.14428i	0.191926	+	0.250123i
$424$	−3.97094	−	2.29262i	−0.192846	−	0.111340i
$425$	−3.22930	+	11.6962i	−0.156644	+	0.567348i
$426$			13.5889i			0.658385i
$427$	−31.5608	+	7.58998i	−1.52733	+	0.367305i
$428$	−16.8202	−	11.2389i	−0.813037	−	0.543254i
$429$	−7.88207	+	29.4163i	−0.380550	+	1.42023i
$430$	17.0626	+	5.79199i	0.822834	+	0.279315i
$431$	1.07759	+	16.4409i	0.0519059	+	0.791930i	0.941886	+	0.335932i	$0.109051\pi$
$431$	1.07759	+	16.4409i	0.0519059	+	0.791930i	−0.889980	+	0.455999i	$0.849282\pi$
$432$	−1.60808	+	0.545870i	−0.0773689	+	0.0262632i
$433$	0.756040	+	1.82524i	0.0363330	+	0.0877156i	0.941004	−	0.338394i	$-0.109884\pi$
$433$	0.756040	+	1.82524i	0.0363330	+	0.0877156i	−0.904671	+	0.426110i	$0.859884\pi$
$434$	−5.13741	−	9.45321i	−0.246603	−	0.453768i
$435$	0.336641	−	1.69241i	0.0161407	−	0.0811447i
$436$	20.5675	−	41.7068i	0.985006	−	1.99739i
$437$	1.15378	−	3.39892i	0.0551927	−	0.162593i
$438$	−0.691118	−	2.57929i	−0.0330229	−	0.123243i
$439$	−2.40697	+	36.7233i	−0.114878	+	1.75271i	0.419769	+	0.907631i	$0.362111\pi$
$439$	−2.40697	+	36.7233i	−0.114878	+	1.75271i	−0.534648	+	0.845075i	$0.679556\pi$
$440$	−4.70881	+	11.3681i	−0.224484	+	0.541952i
$441$	5.19839	−	4.68794i	0.247542	−	0.223235i
$442$	40.4243	+	41.0424i	1.92279	+	1.95219i
$443$	−18.0511	−	31.2654i	−0.857633	−	1.48546i	−0.874180	−	0.485601i	$-0.838601\pi$
$443$	−18.0511	−	31.2654i	−0.857633	−	1.48546i	0.0165472	−	0.999863i	$-0.494733\pi$
$444$	−10.6745	+	8.19080i	−0.506587	+	0.388718i
$445$	−11.8573	+	5.84738i	−0.562091	+	0.277192i
$446$	−18.1586	−	4.86560i	−0.859837	−	0.230393i
$447$	3.73222	+	18.7631i	0.176528	+	0.887465i
$448$	21.4212	+	25.7359i	1.01206	+	1.21591i
$449$	−8.97806	−	1.78585i	−0.423701	−	0.0842794i	−0.0213656	−	0.999772i	$-0.506801\pi$
$449$	−8.97806	−	1.78585i	−0.423701	−	0.0842794i	−0.402335	+	0.915492i	$0.631801\pi$
$450$	−5.12426	−	3.93198i	−0.241560	−	0.185355i
$451$	7.33747	−	55.7336i	0.345508	−	2.62439i
$452$	−36.2662	−	31.8046i	−1.70582	−	1.49596i
$453$	−8.34355	−	4.11458i	−0.392014	−	0.193320i
$454$	18.7435	−	3.72831i	0.879676	−	0.174978i
$455$	3.76973	−	23.8609i	0.176728	−	1.11862i
$456$	−2.80796	+	4.20242i	−0.131495	+	0.196796i
$457$	−4.13298	−	31.3931i	−0.193333	−	1.46851i	−0.762876	−	0.646545i	$-0.776213\pi$
$457$	−4.13298	−	31.3931i	−0.193333	−	1.46851i	0.569543	−	0.821961i	$-0.307120\pi$
$458$	16.3904	−	28.3889i	0.765872	−	1.32653i
$459$	3.89412	+	1.35491i	0.181762	+	0.0632420i
$460$	4.45646	−	2.57294i	0.207783	−	0.119964i
$461$	2.31450	+	0.958695i	0.107797	+	0.0446509i	0.435930	−	0.899981i	$-0.356420\pi$
$461$	2.31450	+	0.958695i	0.107797	+	0.0446509i	−0.328133	+	0.944631i	$0.606420\pi$
$462$	23.4881	−	14.8326i	1.09277	−	0.690076i
$463$	−4.29235	−	4.29235i	−0.199482	−	0.199482i	0.600296	−	0.799778i	$-0.295050\pi$
$463$	−4.29235	−	4.29235i	−0.199482	−	0.199482i	−0.799778	+	0.600296i	$0.795050\pi$
$464$	−1.34711	−	1.53609i	−0.0625382	−	0.0713111i
$465$	−2.65173	+	0.173804i	−0.122971	+	0.00805996i
$466$	−29.5115	+	33.6514i	−1.36709	+	1.55887i
$467$	22.9416	−	29.8981i	1.06161	−	1.38352i	0.142375	−	0.989813i	$-0.454526\pi$
$467$	22.9416	−	29.8981i	1.06161	−	1.38352i	0.919236	−	0.393706i	$-0.128807\pi$
$468$	−16.5682	+	6.86279i	−0.765867	+	0.317232i
$469$	11.3514	−	16.0751i	0.524159	−	0.742277i
$470$	−11.3401	−	16.9717i	−0.523082	−	0.782847i
$471$	−1.21458	+	1.06516i	−0.0559649	+	0.0490799i
$472$	−18.5075	+	4.95908i	−0.851879	+	0.228260i
$473$	−12.1114	−	24.5596i	−0.556884	−	1.12925i
$474$	37.2039	−	4.89798i	1.70883	−	0.224972i
$475$	8.29404			0.380557
$476$	−0.985340	−	30.7150i	−0.0451630	−	1.40782i
$477$	2.55684			0.117070
$478$	33.5576	−	4.41795i	1.53489	−	0.202072i
$479$	6.56519	+	13.3129i	0.299971	+	0.608281i	0.993715	−	0.111941i	$-0.0357066\pi$
$479$	6.56519	+	13.3129i	0.299971	+	0.608281i	−0.693744	+	0.720222i	$0.744040\pi$
$480$	10.1326	−	2.71501i	0.462486	−	0.123923i
$481$	22.8594	−	20.0472i	1.04230	−	0.914073i
$482$	17.7253	+	26.5277i	0.807363	+	1.20830i
$483$	−3.35559	−	0.307026i	−0.152684	−	0.0139702i
$484$	30.9345	−	12.8135i	1.40612	−	0.582432i
$485$	6.12105	−	7.97711i	0.277943	−	0.362222i
$486$	−1.44712	+	1.65013i	−0.0656428	+	0.0748513i
$487$	15.3533	−	1.00631i	0.695724	−	0.0456002i	0.286562	−	0.958062i	$-0.407488\pi$
$487$	15.3533	−	1.00631i	0.695724	−	0.0456002i	0.409162	+	0.912462i	$0.365821\pi$
$488$	−14.5071	−	16.5421i	−0.656704	−	0.748827i
$489$	8.70449	+	8.70449i	0.393631	+	0.393631i
$490$	−17.2942	+	13.6553i	−0.781271	+	0.616885i
$491$	−24.9811	−	10.3475i	−1.12738	−	0.466977i	−0.260492	−	0.965476i	$-0.583885\pi$
$491$	−24.9811	−	10.3475i	−1.12738	−	0.466977i	−0.866890	+	0.498499i	$0.833885\pi$
$492$	28.6679	−	16.5514i	1.29245	−	0.746196i
$493$	0.286866	+	4.95220i	0.0129198	+	0.223036i
$494$	19.6887	−	34.1018i	0.885836	−	1.53431i
$495$	−0.895593	−	6.80270i	−0.0402539	−	0.305759i
$496$	−1.74807	+	2.61618i	−0.0784909	+	0.117470i
$497$	−10.3040	+	12.7344i	−0.462197	+	0.571218i
$498$	13.8727	−	2.75946i	0.621652	−	0.123654i
$499$	−5.30505	−	2.61616i	−0.237487	−	0.117115i	0.319652	−	0.947535i	$-0.396434\pi$
$499$	−5.30505	−	2.61616i	−0.237487	−	0.117115i	−0.557138	+	0.830420i	$0.688101\pi$
$500$	24.1286	+	21.1603i	1.07907	+	0.946315i
$501$	0.122515	−	0.930591i	0.00547355	−	0.0415757i
$502$	−8.93948	−	6.85950i	−0.398988	−	0.306155i
$503$	−20.5868	−	4.09497i	−0.917920	−	0.182586i	−0.286548	−	0.958066i	$-0.592508\pi$
$503$	−20.5868	−	4.09497i	−0.917920	−	0.182586i	−0.631372	+	0.775480i	$0.717508\pi$
$504$	4.45206	+	1.64050i	0.198311	+	0.0730735i
$505$	−1.60765	−	8.08221i	−0.0715396	−	0.359654i
$506$	−12.9166	−	3.46100i	−0.574213	−	0.153860i
$507$	24.6863	−	12.1740i	1.09636	−	0.540664i
$508$	16.1493	−	12.3918i	0.716508	−	0.549796i
$509$	−9.26782	−	16.0523i	−0.410789	−	0.711507i	0.584187	−	0.811619i	$-0.301413\pi$
$509$	−9.26782	−	16.0523i	−0.410789	−	0.711507i	−0.994976	+	0.100112i	$0.968080\pi$
$510$	−11.9531	−	5.05775i	−0.529294	−	0.223961i
$511$	1.30812	−	2.94115i	0.0578680	−	0.130109i
$512$	7.08396	−	17.1022i	0.313070	−	0.755817i
$513$	0.184328	−	2.81231i	0.00813830	−	0.124166i
$514$	6.49476	+	24.2388i	0.286472	+	1.06913i
$515$	4.23026	−	12.4620i	0.186408	−	0.549139i
$516$	7.13201	−	14.4623i	0.313969	−	0.636667i
$517$	−6.05169	+	30.4239i	−0.266153	+	1.33804i
$518$	−27.7253	−	0.715281i	−1.21818	−	0.0314276i
$519$	1.02465	+	2.47372i	0.0449770	+	0.108584i
$520$	15.5049	−	5.26319i	0.679933	−	0.230806i
$521$	0.350239	+	5.34361i	0.0153442	+	0.234108i	0.998642	+	0.0521023i	$0.0165922\pi$
$521$	0.350239	+	5.34361i	0.0153442	+	0.234108i	−0.983298	+	0.182005i	$0.941741\pi$
$522$	−2.50041	−	0.848774i	−0.109440	−	0.0371498i
$523$	11.5088	−	42.9514i	0.503245	−	1.87814i	0.0254265	−	0.999677i	$-0.491906\pi$
$523$	11.5088	−	42.9514i	0.503245	−	1.87814i	0.477818	−	0.878459i	$-0.341428\pi$
$524$	22.8815	+	15.2890i	0.999585	+	0.667901i
$525$	−1.82056	−	7.57029i	−0.0794559	−	0.330395i
$526$		−	30.6142i		−	1.33484i
$527$	7.25234	−	2.40062i	0.315917	−	0.104573i
$528$	−7.03565	−	4.06203i	−0.306187	−	0.176777i
$529$	−13.0141	−	16.9603i	−0.565830	−	0.737404i
$530$	−8.03146	−	0.526410i	−0.348864	−	0.0228658i
$531$	7.55494	−	7.55494i	0.327856	−	0.327856i
$532$	−20.0587	+	6.23690i	−0.869655	+	0.270404i
$533$	−62.1975	+	41.5590i	−2.69407	+	1.80012i
$534$	6.50305	+	19.1574i	0.281414	+	0.829020i
$535$	−10.2114	−	1.34435i	−0.441477	−	0.0581215i
$536$	13.2246	+	1.74105i	0.571214	+	0.0752017i
$537$	0.931522	+	2.74418i	0.0401982	+	0.118420i
$538$	−4.59532	+	3.07049i	−0.198118	+	0.132378i
$539$	33.2583	+	3.91029i	1.43254	+	0.168428i
$540$	2.85703	−	2.85703i	0.122947	−	0.122947i
$541$	28.6394	+	1.87712i	1.23130	+	0.0807038i	0.667122	−	0.744948i	$-0.267526\pi$
$541$	28.6394	+	1.87712i	1.23130	+	0.0807038i	0.564180	+	0.825652i	$0.309193\pi$
$542$	14.2878	+	18.6203i	0.613715	+	0.799809i
$543$	−1.37579	−	0.794312i	−0.0590408	−	0.0340872i
$544$	−26.2293	+	14.8793i	−1.12457	+	0.637944i
$545$		−	23.6759i		−	1.01416i
$546$	−35.4478	−	10.4852i	−1.51702	−	0.448725i
$547$	17.1057	+	11.4296i	0.731385	+	0.488696i	0.864644	−	0.502385i	$-0.167544\pi$
$547$	17.1057	+	11.4296i	0.731385	+	0.488696i	−0.133259	+	0.991081i	$0.542544\pi$
$548$	2.21104	−	8.25170i	0.0944508	−	0.352495i
$549$	11.6178	+	3.94372i	0.495837	+	0.168314i
$550$	−2.02091	−	30.8331i	−0.0861717	−	1.31473i
$551$	3.21079	−	1.08992i	0.136784	−	0.0464321i
$552$	−0.874034	−	2.11010i	−0.0372013	−	0.0898120i
$553$	38.5785	+	23.6204i	1.64052	+	1.00444i
$554$	−5.62565	+	28.2821i	−0.239011	+	1.20159i
$555$	−3.02981	+	6.14384i	−0.128608	+	0.260792i
$556$	17.1422	−	50.4994i	0.726993	−	2.14165i
$557$	0.216709	+	0.808769i	0.00918225	+	0.0342686i	0.970365	−	0.241644i	$-0.0776866\pi$
$557$	0.216709	+	0.808769i	0.00918225	+	0.0342686i	−0.961183	+	0.275913i	$0.911020\pi$
$558$	−0.265963	+	4.05781i	−0.0112591	+	0.171781i
$559$	−13.9446	+	33.6653i	−0.589795	+	1.42389i
$560$	5.88808	+	2.61882i	0.248817	+	0.110665i
$561$	7.40978	+	18.2799i	0.312841	+	0.771777i
$562$	31.4201	+	54.4212i	1.32538	+	2.29562i
$563$	2.25000	−	1.72648i	0.0948260	−	0.0727626i	−0.560260	−	0.828317i	$-0.689299\pi$
$563$	2.25000	−	1.72648i	0.0948260	−	0.0727626i	0.655086	+	0.755554i	$0.272632\pi$
$564$	−16.3828	+	8.07910i	−0.689840	+	0.340192i
$565$	−23.7219	−	6.35628i	−0.997990	−	0.267411i
$566$	−1.74767	−	8.78612i	−0.0734600	−	0.369308i
$567$	−2.60736	+	0.449065i	−0.109499	+	0.0188590i
$568$	−10.8899	−	2.16614i	−0.456931	−	0.0908893i
$569$	8.70847	+	6.68225i	0.365078	+	0.280134i	0.774968	−	0.632001i	$-0.217766\pi$
$569$	8.70847	+	6.68225i	0.365078	+	0.280134i	−0.409889	+	0.912135i	$0.634433\pi$
$570$	−1.15801	+	8.79598i	−0.0485038	+	0.368423i
$571$	−23.2613	−	20.3996i	−0.973456	−	0.853698i	0.0158020	−	0.999875i	$-0.494970\pi$
$571$	−23.2613	−	20.3996i	−0.973456	−	0.853698i	−0.989258	+	0.146177i	$0.953303\pi$
$572$	−76.9440	−	37.9446i	−3.21719	−	1.58654i
$573$	14.5595	−	2.89607i	0.608233	−	0.120985i
$574$	67.3990	+	10.6482i	2.81318	+	0.444448i
$575$	−2.08229	+	3.11637i	−0.0868375	+	0.129961i
$576$	−1.65193	−	12.5476i	−0.0688303	−	0.522818i
$577$	12.9711	−	22.4666i	0.539994	−	0.935297i	−0.458910	−	0.888483i	$-0.651760\pi$
$577$	12.9711	−	22.4666i	0.539994	−	0.935297i	0.998904	−	0.0468141i	$-0.0149069\pi$
$578$	36.9140	+	5.43089i	1.53542	+	0.225895i
$579$	2.96970	−	1.71455i	0.123416	−	0.0712545i
$580$	4.49103	+	1.86024i	0.186480	+	0.0772425i
$581$	15.0928	+	7.93326i	0.626155	+	0.329127i
$582$	−10.8799	−	10.8799i	−0.450988	−	0.450988i
$583$	8.06491	+	9.19627i	0.334015	+	0.380871i
$584$	2.17717	−	0.142699i	0.0900918	−	0.00590493i
$585$	−6.02011	+	6.86462i	−0.248901	+	0.283817i
$586$	20.6917	−	26.9659i	0.854765	−	1.11395i
$587$	−21.6435	+	8.96502i	−0.893322	+	0.370026i	−0.781649	−	0.623719i	$-0.785621\pi$
$587$	−21.6435	+	8.96502i	−0.893322	+	0.370026i	−0.111673	+	0.993745i	$0.535621\pi$
$588$	10.0956	+	16.9393i	0.416335	+	0.698566i
$589$	−2.90111	−	4.34181i	−0.119538	−	0.178901i
$590$	−25.2868	+	22.1759i	−1.04104	+	0.912967i
$591$	2.07798	−	0.556792i	0.0854765	−	0.0229034i
$592$	3.58736	+	7.27445i	0.147440	+	0.298978i
$593$	19.0503	−	2.50802i	0.782304	−	0.102992i	0.271213	−	0.962519i	$-0.412575\pi$
$593$	19.0503	−	2.50802i	0.782304	−	0.102992i	0.511090	+	0.859527i	$0.329242\pi$
$594$	−10.4997			−0.430806
$595$	−7.36642	−	13.8034i	−0.301994	−	0.565883i
$596$	−53.8928			−2.20754
$597$	−17.8062	+	2.34423i	−0.728760	+	0.0959431i
$598$	7.87025	+	15.9593i	0.321838	+	0.652624i
$599$	40.3733	−	10.8180i	1.64961	−	0.442011i	0.690106	−	0.723708i	$-0.257564\pi$
$599$	40.3733	−	10.8180i	1.64961	−	0.442011i	0.959503	+	0.281697i	$0.0908973\pi$
$600$	3.96786	−	3.47972i	0.161987	−	0.142059i
$601$	−4.68618	−	7.01337i	−0.191153	−	0.286081i	0.723497	−	0.690328i	$-0.242534\pi$
$601$	−4.68618	−	7.01337i	−0.191153	−	0.286081i	−0.914650	+	0.404247i	$0.867534\pi$
$602$	30.1804	−	13.9275i	1.23006	−	0.567642i
$603$	−6.87177	+	2.84638i	−0.279840	+	0.115914i
$604$	15.9539	−	20.7915i	0.649155	−	0.845996i
$605$	11.2401	−	12.8169i	0.456977	−	0.521082i
$606$	−12.5831	+	0.824740i	−0.511154	+	0.0335028i
$607$	−21.9400	−	25.0177i	−0.890516	−	1.01544i	−0.999770	−	0.0214246i	$-0.993180\pi$
$607$	−21.9400	−	25.0177i	−0.890516	−	1.01544i	0.109255	−	0.994014i	$-0.465154\pi$
$608$	14.5755	+	14.5755i	0.591116	+	0.591116i
$609$	−1.69959	−	2.69138i	−0.0688708	−	0.109060i
$610$	−35.6816	−	14.7798i	−1.44471	−	0.598417i
$611$	35.7478	−	20.6390i	1.44620	−	0.834964i
$612$	−5.88372	+	10.0146i	−0.237835	+	0.404818i
$613$	−1.05820	+	1.83286i	−0.0427404	+	0.0740286i	−0.886604	−	0.462529i	$-0.846942\pi$
$613$	−1.05820	+	1.83286i	−0.0427404	+	0.0740286i	0.843864	+	0.536557i	$0.180276\pi$
$614$	6.13268	+	46.5824i	0.247495	+	1.87991i
$615$	9.36342	−	14.0133i	0.377569	−	0.565073i
$616$	8.14249	+	21.1874i	0.328070	+	0.853666i
$617$	22.2715	−	4.43007i	0.896616	−	0.178348i	0.274791	−	0.961504i	$-0.411391\pi$
$617$	22.2715	−	4.43007i	0.896616	−	0.178348i	0.621825	+	0.783156i	$0.286391\pi$
$618$	−18.0618	−	8.90710i	−0.726553	−	0.358296i
$619$	−34.5510	−	30.3004i	−1.38872	−	1.21788i	−0.947208	−	0.320620i	$-0.896109\pi$
$619$	−34.5510	−	30.3004i	−1.38872	−	1.21788i	−0.441513	−	0.897255i	$-0.645558\pi$
$620$	0.977143	−	7.42214i	0.0392430	−	0.298080i
$621$	1.01041	+	0.775312i	0.0405462	+	0.0311122i
$622$	−19.2456	−	3.82819i	−0.771679	−	0.153496i
$623$	−8.43222	+	22.8838i	−0.337830	+	0.916820i
$624$	2.10905	+	10.6029i	0.0844296	+	0.424456i
$625$	1.56969	+	0.420597i	0.0627876	+	0.0168239i
$626$	−25.2639	+	12.4588i	−1.00975	+	0.497952i
$627$	10.6965	−	8.20775i	0.427179	−	0.327786i
$628$	−2.27547	−	3.94123i	−0.0908011	−	0.157272i
$629$	3.98828	−	19.2845i	0.159023	−	0.768925i
$630$	8.28262	−	0.873777i	0.329987	−	0.0348121i
$631$	−7.89021	+	19.0487i	−0.314104	+	0.758315i	0.685440	+	0.728129i	$0.259610\pi$
$631$	−7.89021	+	19.0487i	−0.314104	+	0.758315i	−0.999544	+	0.0301859i	$0.990390\pi$
$632$	−2.00532	+	30.5953i	−0.0797675	+	1.21702i
$633$	3.56454	+	13.3030i	0.141678	+	0.528749i
$634$	7.24159	−	21.3330i	0.287600	−	0.847243i
$635$	4.58376	−	9.29495i	0.181901	−	0.368859i
$636$	−1.40520	+	7.06443i	−0.0557199	+	0.280123i
$637$	−25.2683	−	36.7047i	−1.00117	−	1.45429i
$638$	−4.83410	−	11.6705i	−0.191384	−	0.462041i
$639$	5.86287	−	1.99018i	0.231932	−	0.0787302i
$640$	1.23348	+	18.8193i	0.0487575	+	0.743896i
$641$	−14.3644	−	4.87607i	−0.567361	−	0.192593i	0.0229957	−	0.999736i	$-0.492680\pi$
$641$	−14.3644	−	4.87607i	−0.567361	−	0.192593i	−0.590357	+	0.807142i	$0.701013\pi$
$642$	−4.07919	+	15.2238i	−0.160993	+	0.600834i
$643$	9.96515	+	6.65850i	0.392987	+	0.262586i	0.736327	−	0.676625i	$-0.236558\pi$
$643$	9.96515	+	6.65850i	0.392987	+	0.262586i	−0.343340	+	0.939211i	$0.611558\pi$
$644$	2.69248	−	9.10259i	0.106099	−	0.358692i
$645$		−	8.20987i		−	0.323263i
$646$	−3.13700	−	25.3105i	−0.123424	−	0.995827i
$647$	14.7493	+	8.51551i	0.579855	+	0.334779i	0.761076	−	0.648663i	$-0.224672\pi$
$647$	14.7493	+	8.51551i	0.579855	+	0.334779i	−0.181221	+	0.983442i	$0.558005\pi$
$648$	−1.09171	−	1.42274i	−0.0428863	−	0.0558905i
$649$	51.0033	+	3.34293i	2.00205	+	0.131222i
$650$	−29.0744	+	29.0744i	−1.14039	+	1.14039i
$651$	−3.32614	+	3.60099i	−0.130362	+	0.141134i
$652$	−28.8340	+	19.2662i	−1.12923	+	0.754525i
$653$	3.93248	+	11.5847i	0.153890	+	0.453345i	0.996345	−	0.0854218i	$-0.0272238\pi$
$653$	3.93248	+	11.5847i	0.153890	+	0.453345i	−0.842455	+	0.538767i	$0.818890\pi$
$654$	−35.9201	−	4.72897i	−1.40459	−	0.184917i
$655$	13.8911	+	1.82880i	0.542771	+	0.0714572i
$656$	−6.41438	−	18.8962i	−0.250440	−	0.737771i
$657$	−1.01160	+	0.675932i	−0.0394664	+	0.0263706i
$658$	−36.7277	−	8.29570i	−1.43179	−	0.323400i
$659$	−18.3302	+	18.3302i	−0.714043	+	0.714043i	−0.967378	−	0.253336i	$-0.918472\pi$
$659$	−18.3302	+	18.3302i	−0.714043	+	0.714043i	0.253336	+	0.967378i	$0.418472\pi$
$660$	19.2878	+	1.26419i	0.750775	+	0.0492084i
$661$	−0.394575	−	0.514220i	−0.0153472	−	0.0200008i	0.785617	−	0.618713i	$-0.212346\pi$
$661$	−0.394575	−	0.514220i	−0.0153472	−	0.0200008i	−0.800964	+	0.598713i	$0.795679\pi$
$662$	26.8516	+	15.5028i	1.04362	+	0.602533i
$663$	11.7872	−	23.4518i	0.457776	−	0.910791i
$664$			11.5573i			0.448508i
$665$	−7.75489	+	7.36481i	−0.300722	+	0.285595i
$666$	8.71601	+	5.82385i	0.337739	+	0.225670i
$667$	−0.396576	+	1.48004i	−0.0153555	+	0.0573075i
$668$	2.50385	+	0.849942i	0.0968768	+	0.0328852i
$669$	0.560204	+	8.54706i	0.0216587	+	0.330448i
$670$	22.1714	−	7.52618i	0.856557	−	0.290762i
$671$	22.4610	+	54.2258i	0.867099	+	2.09336i
$672$	10.1043	−	16.5030i	0.389781	−	0.636618i
$673$	1.79449	−	9.02149i	0.0691723	−	0.347753i	−0.930663	−	0.365876i	$-0.880769\pi$
$673$	1.79449	−	9.02149i	0.0691723	−	0.347753i	0.999836	+	0.0181237i	$0.00576926\pi$
$674$	4.29537	−	8.71015i	0.165452	−	0.335503i
$675$	−0.945958	+	2.78670i	−0.0364099	+	0.107260i
$676$	20.0688	+	74.8979i	0.771878	+	2.88069i
$677$	0.879087	−	13.4123i	0.0337861	−	0.515476i	−0.947106	−	0.320922i	$-0.896007\pi$
$677$	0.879087	−	13.4123i	0.0337861	−	0.515476i	0.980892	−	0.194554i	$-0.0623260\pi$
$678$	−14.3816	+	34.7203i	−0.552323	+	1.33343i
$679$	−1.94593	−	18.4457i	−0.0746781	−	0.707881i
$680$	5.95859	−	8.77283i	0.228502	−	0.336423i
$681$	−4.35366	−	7.54076i	−0.166833	−	0.288963i
$682$	−15.4338	+	11.8428i	−0.590990	+	0.453483i
$683$	41.9176	−	20.6715i	1.60393	−	0.790973i	0.603952	−	0.797020i	$-0.293592\pi$
$683$	41.9176	−	20.6715i	1.60393	−	0.790973i	0.999982	+	0.00604761i	$0.00192502\pi$
$684$	7.66898	+	2.05490i	0.293231	+	0.0785709i
$685$	−0.848527	−	4.26583i	−0.0324205	−	0.162989i
$686$	−5.78601	+	40.2341i	−0.220911	+	1.53614i
$687$	−14.6487	−	2.91382i	−0.558885	−	0.111169i
$688$	−7.71194	−	5.91758i	−0.294015	−	0.225606i
$689$	2.12453	−	16.1374i	0.0809380	−	0.614785i
$690$	−3.01423	−	2.64341i	−0.114750	−	0.100633i
$691$	−2.29372	−	1.13114i	−0.0872571	−	0.0430305i	0.398137	−	0.917326i	$-0.369657\pi$
$691$	−2.29372	−	1.13114i	−0.0872571	−	0.0430305i	−0.485394	+	0.874296i	$0.661324\pi$
$692$	−7.39790	+	1.47153i	−0.281226	+	0.0559394i
$693$	−9.83945	−	7.96153i	−0.373770	−	0.302433i
$694$	−35.6282	+	53.3213i	−1.35243	+	2.02405i
$695$	−3.54402	−	26.9195i	−0.134432	−	1.02111i
$696$	1.07877	−	1.86849i	0.0408907	−	0.0708248i
$697$	−15.9213	+	45.7589i	−0.603061	+	1.73324i
$698$	−22.1553	+	12.7913i	−0.838589	+	0.484159i
$699$	18.8409	+	7.80414i	0.712627	+	0.295180i
$700$	21.9169	−	0.869609i	0.828382	−	0.0328681i
$701$	0.315883	+	0.315883i	0.0119307	+	0.0119307i	0.713047	−	0.701116i	$-0.247315\pi$
$701$	0.315883	+	0.315883i	0.0119307	+	0.0119307i	−0.701116	+	0.713047i	$0.747315\pi$
$702$	9.21226	+	10.5046i	0.347694	+	0.396470i
$703$	−13.4320	+	0.880383i	−0.506599	+	0.0332043i
$704$	39.9199	−	45.5200i	1.50454	−	1.71560i
$705$	−5.66154	+	7.37826i	−0.213226	+	0.277881i
$706$	44.7362	−	18.5303i	1.68367	−	0.697398i
$707$	−12.4173	−	8.76845i	−0.466999	−	0.329771i
$708$	16.7219	+	25.0260i	0.628446	+	0.940536i
$709$	−31.1258	+	27.2966i	−1.16895	+	1.02514i	−0.169739	+	0.985489i	$0.554293\pi$
$709$	−31.1258	+	27.2966i	−1.16895	+	1.02514i	−0.999213	+	0.0396551i	$0.987374\pi$
$710$	−18.8260	+	5.04441i	−0.706527	+	0.189313i
$711$	−7.56194	−	15.3341i	−0.283595	−	0.575073i
$712$	−16.3890	+	2.15766i	−0.614205	+	0.0808616i
$713$	2.35972			0.0883722
$714$	−22.4133	+	8.41897i	−0.838795	+	0.315072i
$715$	−43.6791			−1.63351
$716$	−8.09399	+	1.06559i	−0.302486	+	0.0398231i
$717$	−6.82082	−	13.8313i	−0.254728	−	0.516538i
$718$	46.7042	−	12.5144i	1.74299	−	0.467032i
$719$	19.1877	−	16.8272i	0.715580	−	0.627547i	−0.222109	−	0.975022i	$-0.571294\pi$
$719$	19.1877	−	16.8272i	0.715580	−	0.627547i	0.937689	+	0.347475i	$0.112961\pi$
$720$	−1.35319	−	2.02519i	−0.0504305	−	0.0754745i
$721$	−10.1722	−	22.0427i	−0.378831	−	0.820912i
$722$	22.4204	−	9.28682i	0.834400	−	0.345620i
$723$	8.84929	−	11.5326i	0.329109	−	0.428903i
$724$	2.95076	−	3.36470i	0.109664	−	0.125048i
$725$	−3.53299	+	0.231564i	−0.131212	+	0.00860009i
$726$	−17.2002	−	19.6131i	−0.638360	−	0.727910i
$727$	−8.74718	−	8.74718i	−0.324415	−	0.324415i	0.526043	−	0.850458i	$-0.323675\pi$
$727$	−8.74718	−	8.74718i	−0.324415	−	0.324415i	−0.850458	+	0.526043i	$0.823675\pi$
$728$	14.0532	−	26.7359i	0.520847	−	0.990897i
$729$	0.923880	+	0.382683i	0.0342178	+	0.0141735i
$730$	3.31678	−	1.91494i	0.122759	−	0.0708752i
$731$	5.93525	+	22.8425i	0.219523	+	0.844862i
$732$	−17.2813	+	29.9321i	−0.638736	+	1.10632i
$733$	−0.190752	−	1.44890i	−0.00704558	−	0.0535165i	0.987561	−	0.157237i	$-0.0502586\pi$
$733$	−0.190752	−	1.44890i	−0.00704558	−	0.0535165i	−0.994606	+	0.103720i	$0.966925\pi$
$734$	−31.1645	+	46.6410i	−1.15030	+	1.72155i
$735$	8.42437	+	5.46159i	0.310737	+	0.201454i
$736$	−9.13586	+	1.81724i	−0.336752	+	0.0669842i
$737$	−31.9130	−	15.7377i	−1.17553	−	0.579707i
$738$	−19.3902	−	17.0048i	−0.713764	−	0.625954i
$739$	−2.99936	+	22.7824i	−0.110333	+	0.838065i	0.843374	+	0.537328i	$0.180566\pi$
$739$	−2.99936	+	22.7824i	−0.110333	+	0.838065i	−0.953707	+	0.300737i	$0.902767\pi$
$740$	−15.3100	−	11.7478i	−0.562807	−	0.431857i
$741$	−17.5966	−	3.50018i	−0.646427	−	0.128582i
$742$	−11.4115	+	9.49829i	−0.418928	+	0.348693i
$743$	0.231547	+	1.16406i	0.00849462	+	0.0427054i	0.984800	−	0.173691i	$-0.0555695\pi$
$743$	0.231547	+	1.16406i	0.00849462	+	0.0427054i	−0.976306	+	0.216397i	$0.930570\pi$
$744$	−3.20947	−	0.859975i	−0.117665	−	0.0315282i
$745$	−24.6089	+	12.1358i	−0.901600	+	0.444620i
$746$	−46.3669	+	35.5786i	−1.69761	+	1.30263i
$747$	−3.22230	−	5.58118i	−0.117898	−	0.204205i
$748$	−54.5788	+	10.4265i	−1.99560	+	0.381232i
$749$	−15.3663	+	11.1734i	−0.561474	+	0.408267i
$750$	9.56841	−	23.1002i	0.349389	−	0.843499i
$751$	−3.19131	+	48.6899i	−0.116452	+	1.77672i	0.396239	+	0.918147i	$0.370315\pi$
$751$	−3.19131	+	48.6899i	−0.116452	+	1.77672i	−0.512692	+	0.858573i	$0.671352\pi$
$752$	2.84999	+	10.6363i	0.103929	+	0.387867i
$753$	−1.65026	+	4.86151i	−0.0601389	+	0.177163i
$754$	−7.43464	+	15.0760i	−0.270753	+	0.549034i
$755$	2.60307	−	13.0865i	0.0947354	−	0.476267i
$756$	0.192223	−	7.45082i	0.00699108	−	0.270984i
$757$	18.4981	+	44.6584i	0.672325	+	1.62314i	0.777650	+	0.628698i	$0.216412\pi$
$757$	18.4981	+	44.6584i	0.672325	+	1.62314i	−0.105325	+	0.994438i	$0.533588\pi$
$758$	−29.7262	+	10.0907i	−1.07970	+	0.366510i
$759$	0.398484	+	6.07970i	0.0144641	+	0.220679i
$760$	−6.86437	−	2.33014i	−0.248997	−	0.0845230i
$761$	−3.06598	+	11.4424i	−0.111142	+	0.414787i	−0.998969	−	0.0453893i	$-0.985547\pi$
$761$	−3.06598	+	11.4424i	−0.111142	+	0.414787i	0.887828	+	0.460176i	$0.152214\pi$
$762$	−13.1864	−	8.81084i	−0.477691	−	0.319183i
$763$	−30.0756	−	31.6685i	−1.08881	−	1.14648i
$764$			41.8190i			1.51296i
$765$	−0.431532	+	5.89787i	−0.0156021	+	0.213238i
$766$	12.2928	+	7.09723i	0.444156	+	0.256433i
$767$	−41.4051	−	53.9602i	−1.49505	−	1.94839i
$768$	3.54053	+	0.232058i	0.127758	+	0.00837368i
$769$	2.46617	−	2.46617i	0.0889322	−	0.0889322i	−0.661241	−	0.750173i	$-0.729970\pi$
$769$	2.46617	−	2.46617i	0.0889322	−	0.0889322i	0.750173	+	0.661241i	$0.229970\pi$
$770$	29.2682	+	27.0343i	1.05475	+	0.974247i
$771$	9.50652	−	6.35205i	0.342369	−	0.228764i
$772$	3.10513	+	9.14743i	0.111756	+	0.329223i
$773$	51.2363	+	6.74539i	1.84284	+	0.242615i	0.969604	−	0.244678i	$-0.0786823\pi$
$773$	51.2363	+	6.74539i	1.84284	+	0.242615i	0.873239	+	0.487293i	$0.162016\pi$
$774$	−12.4557	−	1.63982i	−0.447710	−	0.0589421i
$775$	1.75268	+	5.16323i	0.0629581	+	0.185469i
$776$	10.4533	−	6.98469i	0.375253	−	0.250736i
$777$	3.75193	+	12.0667i	0.134600	+	0.432890i
$778$	7.20143	−	7.20143i	0.258184	−	0.258184i
$779$	33.0467	+	2.16600i	1.18402	+	0.0776049i
$780$	−15.6581	−	20.4060i	−0.560648	−	0.730651i
$781$	25.6511	+	14.8097i	0.917869	+	0.529932i
$782$	10.2976	+	5.17572i	0.368242	+	0.185083i
$783$			1.20310i			0.0429952i
$784$	11.2025	−	3.97678i	0.400090	−	0.142028i
$785$	−1.92654	−	1.28727i	−0.0687611	−	0.0459447i
$786$	5.54916	−	20.7098i	0.197932	−	0.738693i
$787$	25.9371	+	8.80446i	0.924558	+	0.313845i	0.742812	−	0.669501i	$-0.233492\pi$
$787$	25.9371	+	8.80446i	0.924558	+	0.313845i	0.181746	+	0.983346i	$0.441825\pi$
$788$	0.396365	+	6.04736i	0.0141199	+	0.215428i
$789$	−13.2084	+	4.48364i	−0.470230	+	0.159622i
$790$	20.5963	+	49.7238i	0.732783	+	1.76909i
$791$	−39.8046	+	21.6321i	−1.41529	+	0.769147i
$792$	1.67370	−	8.41426i	0.0594723	−	0.298988i
$793$	34.5441	−	70.0485i	1.22670	−	2.48750i
$794$	−6.89169	+	20.3023i	−0.244577	+	0.720500i
$795$	0.949138	+	3.54223i	0.0336625	+	0.125630i
$796$	3.30904	−	50.4861i	0.117286	−	1.78943i
$797$	9.41368	−	22.7266i	0.333450	−	0.805018i	−0.664864	−	0.746965i	$-0.731510\pi$
$797$	9.41368	−	22.7266i	0.333450	−	0.805018i	0.998313	−	0.0580539i	$-0.0184895\pi$
$798$	9.62464	+	13.2364i	0.340709	+	0.468564i
$799$	10.4182	−	24.6217i	0.368569	−	0.871053i
$800$	−10.7619	−	18.6401i	−0.380490	−	0.659028i
$801$	7.31295	−	5.61142i	0.258390	−	0.198270i
$802$	42.2437	−	20.8323i	1.49168	−	0.735614i
$803$	−5.62200	−	1.50641i	−0.198396	−	0.0531600i
$804$	−4.08779	−	20.5507i	−0.144165	−	0.724768i
$805$	−0.820293	−	4.76278i	−0.0289115	−	0.167866i
$806$	25.3897	+	5.05033i	0.894315	+	0.177890i
$807$	1.99776	+	1.53294i	0.0703245	+	0.0539619i
$808$	1.34488	−	10.2154i	0.0473127	−	0.359375i
$809$	−36.2675	−	31.8057i	−1.27510	−	1.11823i	−0.987016	−	0.160623i	$-0.948650\pi$
$809$	−36.2675	−	31.8057i	−1.27510	−	1.11823i	−0.288080	−	0.957606i	$-0.593017\pi$
$810$	−2.82327	−	1.39228i	−0.0991997	−	0.0489199i
$811$	29.4063	−	5.84927i	1.03259	−	0.205396i	0.350426	−	0.936591i	$-0.386037\pi$
$811$	29.4063	−	5.84927i	1.03259	−	0.205396i	0.682169	+	0.731195i	$0.261037\pi$
$812$	8.37022	−	3.21674i	0.293737	−	0.112885i
$813$	5.94109	−	8.89147i	0.208363	−	0.311837i
$814$	6.54564	+	49.7191i	0.229425	+	1.74265i
$815$	−8.82792	+	15.2904i	−0.309228	+	0.535599i
$816$	5.22911	+	4.65647i	0.183056	+	0.163009i
$817$	13.9711	−	8.06622i	0.488787	−	0.282201i
$818$	19.9879	+	8.27927i	0.698861	+	0.289478i
$819$	0.667748	+	16.8294i	0.0233330	+	0.588067i
$820$	33.5722	+	33.5722i	1.17239	+	1.17239i
$821$	−5.82409	−	6.64110i	−0.203262	−	0.231776i	0.641224	−	0.767354i	$-0.278427\pi$
$821$	−5.82409	−	6.64110i	−0.203262	−	0.231776i	−0.844486	+	0.535578i	$0.820094\pi$
$822$	−6.64142	+	0.435302i	−0.231646	+	0.0151829i
$823$	−23.5856	+	26.8943i	−0.822143	+	0.937475i	−0.998905	−	0.0467790i	$-0.985104\pi$
$823$	−23.5856	+	26.8943i	−0.822143	+	0.937475i	0.176762	+	0.984254i	$0.443438\pi$
$824$	10.0172	−	13.0546i	0.348964	−	0.454779i
$825$	−13.0068	+	5.38760i	−0.452839	+	0.187572i
$826$	−5.65306	+	61.7841i	−0.196695	+	2.14974i
$827$	−19.4933	−	29.1739i	−0.677850	−	1.01447i	−0.997751	−	0.0670233i	$-0.978650\pi$
$827$	−19.4933	−	29.1739i	−0.677850	−	1.01447i	0.319901	−	0.947451i	$-0.396350\pi$
$828$	−2.69746	+	2.36561i	−0.0937432	+	0.0822105i
$829$	−41.5643	+	11.1371i	−1.44359	+	0.386808i	−0.893789	−	0.448488i	$-0.851963\pi$
$829$	−41.5643	+	11.1371i	−1.44359	+	0.386808i	−0.549800	+	0.835296i	$0.685296\pi$
$830$	8.97271	+	18.1949i	0.311447	+	0.631553i
$831$	13.0261	−	1.71491i	0.451869	−	0.0594897i
$832$	−80.5665			−2.79314
$833$	−27.3877	−	9.10560i	−0.948929	−	0.315490i
$834$	−41.5490			−1.43872
$835$	1.33472	−	0.175719i	0.0461897	−	0.00608099i
$836$	16.7990	+	34.0649i	0.581004	+	1.17816i
$837$	1.78968	−	0.479542i	0.0618603	−	0.0165754i
$838$	−1.06987	+	0.938253i	−0.0369581	+	0.0324114i
$839$	14.6184	+	21.8779i	0.504682	+	0.755310i	0.993096	−	0.117302i	$-0.0374245\pi$
$839$	14.6184	+	21.8779i	0.504682	+	0.755310i	−0.488414	+	0.872612i	$0.662424\pi$
$840$	−0.620061	+	6.77684i	−0.0213941	+	0.233823i
$841$	25.4552	−	10.5439i	0.877767	−	0.363583i
$842$	38.5602	−	50.2527i	1.32887	−	1.73182i
$843$	18.8781	−	21.5264i	0.650197	−	0.741408i
$844$	−38.7147	+	2.53750i	−1.33262	+	0.0873443i
$845$	26.0297	+	29.6812i	0.895448	+	1.02106i
$846$	10.0632	+	10.0632i	0.345979	+	0.345979i
$847$	−1.24675	−	31.4222i	−0.0428389	−	1.07968i
$848$	4.01152	+	1.66163i	0.137756	+	0.0570605i
$849$	−3.53478	+	2.04080i	−0.121313	+	0.0700402i
$850$	−3.67629	+	26.3761i	−0.126096	+	0.904694i
$851$	3.04144	−	5.26792i	0.104259	−	0.180582i
$852$	2.27662	+	17.2926i	0.0779956	+	0.592435i
$853$	28.8251	−	43.1397i	0.986951	−	1.47708i	0.111503	−	0.993764i	$-0.464433\pi$
$853$	28.8251	−	43.1397i	0.986951	−	1.47708i	0.875448	−	0.483313i	$-0.160567\pi$
$854$	−66.5021	+	25.5573i	−2.27566	+	0.874553i
$855$	3.96458	−	0.788605i	0.135586	−	0.0269697i
$856$	−11.5498	−	5.69575i	−0.394765	−	0.194677i
$857$	33.6921	+	29.5472i	1.15090	+	1.00931i	0.999784	+	0.0207973i	$0.00662045\pi$
$857$	33.6921	+	29.5472i	1.15090	+	1.00931i	0.151117	+	0.988516i	$0.451713\pi$
$858$	−8.72437	+	66.2681i	−0.297845	+	2.26236i
$859$	−1.76776	−	1.35645i	−0.0603152	−	0.0462815i	0.578164	−	0.815921i	$-0.303769\pi$
$859$	−1.76776	−	1.35645i	−0.0603152	−	0.0462815i	−0.638479	+	0.769639i	$0.720436\pi$
$860$	22.6835	+	4.51203i	0.773501	+	0.153859i
$861$	−5.27685	−	30.6385i	−0.179835	−	1.04416i
$862$	7.05479	+	35.4668i	0.240287	+	1.20801i
$863$	−3.50463	−	0.939061i	−0.119299	−	0.0319660i	0.198676	−	0.980065i	$-0.436336\pi$
$863$	−3.50463	−	0.939061i	−0.119299	−	0.0319660i	−0.317974	+	0.948099i	$0.603003\pi$
$864$	−6.55959	+	3.23483i	−0.223162	+	0.110051i
$865$	−3.04671	+	2.33782i	−0.103591	+	0.0794884i
$866$	2.16804	+	3.75516i	0.0736730	+	0.127605i
$867$	−3.06314	−	16.7218i	−0.104030	−	0.567901i
$868$	−8.12137	−	11.1690i	−0.275657	−	0.379101i
$869$	31.3004	−	75.5659i	1.06179	−	2.56340i
$870$	0.247697	−	3.77913i	0.00839773	−	0.128125i
$871$	12.2549	+	45.7360i	0.415242	+	1.54971i
$872$	9.51556	−	28.0319i	0.322238	−	0.949281i
$873$	−3.10067	+	6.28753i	−0.104942	+	0.212801i
$874$	1.53692	−	7.72662i	0.0519871	−	0.261357i
$875$	26.4828	−	14.3923i	0.895282	−	0.486547i
$876$	−1.31161	−	3.16650i	−0.0443150	−	0.106986i
$877$	−34.1500	+	11.5924i	−1.15316	+	0.391446i	−0.831564	−	0.555430i	$-0.812554\pi$
$877$	−34.1500	+	11.5924i	−1.15316	+	0.391446i	−0.321600	+	0.946876i	$0.604220\pi$
$878$	5.28278	+	80.5997i	0.178285	+	2.72011i
$879$	−14.6647	−	4.97800i	−0.494629	−	0.167904i
$880$	3.01578	−	11.2550i	0.101662	−	0.379407i
$881$	9.29781	+	6.21260i	0.313251	+	0.209308i	0.702250	−	0.711931i	$-0.252179\pi$
$881$	9.29781	+	6.21260i	0.313251	+	0.209308i	−0.388999	+	0.921238i	$0.627179\pi$
$882$	9.96875	−	11.6902i	0.335665	−	0.393630i
$883$			0.949202i			0.0319432i	0.999872	+	0.0159716i	$0.00508413\pi$
$883$			0.949202i			0.0319432i	−0.999872	+	0.0159716i	$0.994916\pi$
$884$	58.3181	+	45.4562i	1.96145	+	1.52886i
$885$	13.2711	+	7.66207i	0.446103	+	0.257558i
$886$	−48.2362	−	62.8626i	−1.62053	−	2.11191i
$887$	6.56890	+	0.430549i	0.220562	+	0.0144564i	0.175284	−	0.984518i	$-0.443916\pi$
$887$	6.56890	+	0.430549i	0.220562	+	0.0144564i	0.0452786	+	0.998974i	$0.485582\pi$
$888$	−6.05652	+	6.05652i	−0.203243	+	0.203243i
$889$	−5.67625	−	18.2556i	−0.190375	−	0.612272i
$890$	−24.1265	+	16.1208i	−0.808722	+	0.540371i
$891$	1.53774	+	4.53003i	0.0515162	+	0.151762i
$892$	−23.9230	−	3.14953i	−0.801002	−	0.105454i
$893$	−18.1184	−	2.38533i	−0.606309	−	0.0798221i
$894$	13.4965	+	39.7595i	0.451392	+	1.32976i
$895$	−3.45597	+	2.30921i	−0.115520	+	0.0771883i
$896$	25.5561	+	23.6055i	0.853769	+	0.788604i
$897$	5.73292	−	5.73292i	0.191417	−	0.191417i
$898$	−20.0479	−	1.31401i	−0.669009	−	0.0438491i
$899$	1.35700	+	1.76847i	0.0452584	+	0.0589818i
$900$	−7.17964	−	4.14517i	−0.239321	−	0.138172i
$901$	−5.20164	−	9.16947i	−0.173292	−	0.305479i
$902$		−	123.379i		−	4.10807i
$903$	−10.4290	−	10.9814i	−0.347057	−	0.365439i
$904$	−25.5318	−	17.0598i	−0.849176	−	0.567401i
$905$	0.589722	−	2.20087i	0.0196030	−	0.0731595i
$906$	−19.3344	−	6.56314i	−0.642342	−	0.218046i
$907$	−1.42892	−	21.8011i	−0.0474465	−	0.723894i	−0.953625	−	0.300998i	$-0.902680\pi$
$907$	−1.42892	−	21.8011i	−0.0474465	−	0.723894i	0.906178	−	0.422896i	$-0.138986\pi$
$908$	23.2275	−	7.88467i	0.770831	−	0.261662i
$909$	2.19870	+	5.30813i	0.0729263	+	0.176060i
$910$	1.36738	−	53.0014i	0.0453281	−	1.75698i
$911$	−3.62815	+	18.2399i	−0.120206	+	0.604316i	0.872978	+	0.487759i	$0.162186\pi$
$911$	−3.62815	+	18.2399i	−0.120206	+	0.604316i	−0.993184	+	0.116557i	$0.962814\pi$
$912$	2.11685	−	4.29254i	0.0700959	−	0.142140i
$913$	9.91010	−	29.1942i	0.327976	−	0.966187i
$914$	−17.9868	−	67.1276i	−0.594950	−	2.22038i
$915$	−1.15089	+	17.5593i	−0.0380474	+	0.580491i
$916$	16.1015	−	38.8724i	0.532008	−	1.28438i
$917$	20.9037	−	15.1998i	0.690302	−	0.501942i
$918$	8.86180	+	1.83273i	0.292483	+	0.0604891i
$919$	23.0071	+	39.8495i	0.758935	+	1.31451i	0.943394	+	0.331674i	$0.107613\pi$
$919$	23.0071	+	39.8495i	0.758935	+	1.31451i	−0.184459	+	0.982840i	$0.559053\pi$
$920$	2.59887	−	1.99419i	0.0856823	−	0.0657463i
$921$	19.1996	−	9.46818i	0.632647	−	0.311987i
$922$	5.31101	+	1.42308i	0.174909	+	0.0468666i
$923$	−7.68934	−	38.6569i	−0.253098	−	1.27241i
$924$	27.4050	−	22.8104i	0.901557	−	0.750407i
$925$	13.7856	+	2.74213i	0.453268	+	0.0901605i
$926$	−10.5698	−	8.11053i	−0.347347	−	0.266529i
$927$	−1.19767	+	9.09719i	−0.0393365	+	0.298791i
$928$	−6.61564	−	5.80176i	−0.217169	−	0.190452i
$929$	6.02117	+	2.96931i	0.197548	+	0.0974200i	0.538372	−	0.842707i	$-0.319039\pi$
$929$	6.02117	+	2.96931i	0.197548	+	0.0974200i	−0.340824	+	0.940127i	$0.610706\pi$
$930$	−5.72040	+	1.13786i	−0.187579	+	0.0373119i
$931$	−1.01726	+	19.7022i	−0.0333395	+	0.645712i
$932$	−31.9172	+	47.7674i	−1.04548	+	1.56467i
$933$	1.16698	+	8.86409i	0.0382052	+	0.290197i
$934$	41.3561	−	71.6308i	1.35321	−	2.34383i
$935$	−22.5742	+	17.0512i	−0.738256	+	0.557635i
$936$	−9.88668	+	5.70808i	−0.323156	+	0.186574i
$937$	−13.2087	−	5.47122i	−0.431509	−	0.178737i	0.156348	−	0.987702i	$-0.450028\pi$
$937$	−13.2087	−	5.47122i	−0.431509	−	0.178737i	−0.587856	+	0.808965i	$0.700028\pi$
$938$	20.0956	−	38.2314i	0.656146	−	1.24830i
$939$	9.07532	+	9.07532i	0.296162	+	0.296162i
$940$	−17.2743	−	19.6976i	−0.563426	−	0.642464i
$941$	17.2531	−	1.13082i	0.562433	−	0.0368638i	0.218465	−	0.975845i	$-0.429895\pi$
$941$	17.2531	−	1.13082i	0.562433	−	0.0368638i	0.343969	+	0.938981i	$0.388229\pi$
$942$	−2.33780	+	2.66574i	−0.0761695	+	0.0868547i
$943$	−9.11050	+	11.8730i	−0.296679	+	0.386639i
$944$	16.7630	−	6.94346i	0.545589	−	0.225990i
$945$	−1.59003	−	3.44553i	−0.0517236	−	0.112083i
$946$	−33.3903	−	49.9722i	−1.08561	−	1.62473i
$947$	8.97310	−	7.86920i	0.291587	−	0.255715i	−0.501037	−	0.865426i	$-0.667048\pi$
$947$	8.97310	−	7.86920i	0.291587	−	0.255715i	0.792624	+	0.609711i	$0.208715\pi$
$948$	46.5233	−	12.4659i	1.51101	−	0.404873i
$949$	3.42555	+	6.94633i	0.111198	+	0.225487i
$950$	18.0479	−	2.37605i	0.585551	−	0.0770893i
$951$	−10.2646			−0.332853
$952$	−3.17404	−	19.3037i	−0.102871	−	0.625635i
$953$	8.74798			0.283375			0.141688	−	0.989911i	$-0.454747\pi$
$953$	8.74798			0.283375			0.141688	+	0.989911i	$0.454747\pi$
$954$	5.56370	−	0.732476i	0.180132	−	0.0237148i
$955$	9.41692	+	19.0956i	0.304725	+	0.617920i
$956$	41.9637	−	11.2442i	1.35720	−	0.363662i
$957$	−4.32722	+	3.79487i	−0.139879	+	0.122671i
$958$	18.0998	+	27.0882i	0.584776	+	0.875180i
$959$	−6.55389	−	4.62803i	−0.211636	−	0.149447i
$960$	16.7702	−	6.94645i	0.541256	−	0.224196i
$961$	−16.7818	+	21.8704i	−0.541348	+	0.705498i
$962$	43.9993	−	50.1716i	1.41859	−	1.61760i
$963$	7.16564	−	0.469661i	0.230910	−	0.0151346i
$964$	27.0007	+	30.7884i	0.869633	+	0.991626i
$965$	3.47773	+	3.47773i	0.111952	+	0.111952i
$966$	−7.38974	+	0.293206i	−0.237761	+	0.00943376i
$967$	41.1194	+	17.0322i	1.32231	+	0.547719i	0.928452	−	0.371453i	$-0.121140\pi$
$967$	41.1194	+	17.0322i	1.32231	+	0.547719i	0.393858	+	0.919171i	$0.371140\pi$
$968$	18.4594	−	10.6575i	0.593308	−	0.342547i
$969$	−10.4606	+	5.06031i	−0.336044	+	0.162561i
$970$	11.0342	−	19.1118i	0.354287	−	0.613643i
$971$	6.60184	+	50.1459i	0.211863	+	1.60926i	0.685184	+	0.728370i	$0.259722\pi$
$971$	6.60184	+	50.1459i	0.211863	+	1.60926i	−0.473321	+	0.880890i	$0.656945\pi$
$972$	−1.56509	+	2.34232i	−0.0502002	+	0.0751299i
$973$	−38.9364	−	31.5052i	−1.24824	−	1.01001i
$974$	33.1206	−	6.58810i	1.06125	−	0.211096i
$975$	16.8021	+	8.28589i	0.538099	+	0.265361i
$976$	15.6647	+	13.7376i	0.501416	+	0.439730i
$977$	−7.58745	+	57.6324i	−0.242744	+	1.84382i	0.243377	+	0.969932i	$0.421745\pi$
$977$	−7.58745	+	57.6324i	−0.242744	+	1.84382i	−0.486121	+	0.873892i	$0.661588\pi$
$978$	21.4347	+	16.4474i	0.685406	+	0.525930i
$979$	43.2497	+	8.60289i	1.38227	+	0.274950i
$980$	−19.7200	+	20.2745i	−0.629933	+	0.647646i
$981$	3.22042	+	16.1901i	0.102820	+	0.516911i
$982$	−57.3235	−	15.3598i	−1.82927	−	0.490150i
$983$	42.4104	−	20.9145i	1.35268	−	0.667068i	0.385868	−	0.922554i	$-0.373902\pi$
$983$	42.4104	−	20.9145i	1.35268	−	0.667068i	0.966813	+	0.255486i	$0.0822355\pi$
$984$	16.7183	−	12.8284i	0.532959	−	0.408954i
$985$	1.54275	+	2.67213i	0.0491562	+	0.0851411i
$986$	2.04291	+	10.6938i	0.0650596	+	0.340561i
$987$	1.79985	+	17.0609i	0.0572899	+	0.543056i
$988$	19.3417	−	46.6949i	0.615341	−	1.48556i
$989$	−0.476798	+	7.27454i	−0.0151613	+	0.231317i
$990$	−3.89764	−	14.5462i	−0.123875	−	0.462308i
$991$	−2.33668	+	6.88363i	−0.0742270	+	0.218666i	−0.977711	−	0.209957i	$-0.932668\pi$
$991$	−2.33668	+	6.88363i	−0.0742270	+	0.218666i	0.903484	+	0.428623i	$0.141001\pi$
$992$	−5.99353	+	12.1537i	−0.190295	+	0.385879i
$993$	2.75603	−	13.8555i	0.0874599	−	0.439691i
$994$	−18.7735	+	30.6621i	−0.595458	+	0.972544i
$995$	−9.85763	−	23.7984i	−0.312508	−	0.754461i
$996$	17.1915	−	5.83572i	0.544733	−	0.184912i
$997$	2.60729	+	39.7795i	0.0825736	+	1.25983i	0.815192	+	0.579190i	$0.196631\pi$
$997$	2.60729	+	39.7795i	0.0825736	+	1.25983i	−0.732619	+	0.680639i	$0.761702\pi$
$998$	−12.2933	−	4.17301i	−0.389138	−	0.132094i
$999$	1.23616	−	4.61342i	0.0391104	−	0.145962i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	357.2.bl.a.10.21	✓	384
7.5	odd	6	inner	357.2.bl.a.61.4	yes	384
17.12	odd	16	inner	357.2.bl.a.199.4	yes	384
119.12	even	48	inner	357.2.bl.a.250.21	yes	384

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
357.2.bl.a.10.21	✓	384	1.1	even	1	trivial
357.2.bl.a.61.4	yes	384	7.5	odd	6	inner
357.2.bl.a.199.4	yes	384	17.12	odd	16	inner
357.2.bl.a.250.21	yes	384	119.12	even	48	inner

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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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Newspace parameters

Newform invariants

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$q$ -expansion

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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	357.2.bl.a.10.21

Level	$357$
Weight	$2$
Character	357.10
Analytic conductor	$2.851$
Analytic rank	$0$
Dimension	$384$
Inner twists	$4$