LMFDB - Embedded newform 357.2.bl.a.10.24

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			10.24
Character	$\chi$	$=$	357.10
Dual form			357.2.bl.a.250.24

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.76308 - 0.363766i) q^{2} +(-0.442289 - 0.896873i) q^{3} +(5.57041 - 1.49259i) q^{4} +(-0.891922 + 0.782194i) q^{5} +(-1.54833 - 2.31724i) q^{6} +(1.11094 + 2.40121i) q^{7} +(9.69896 - 4.01744i) q^{8} +(-0.608761 + 0.793353i) q^{9} +(-2.17991 + 2.48571i) q^{10} +(-5.03621 + 0.330091i) q^{11} +(-3.80239 - 4.33579i) q^{12} +(-2.58476 - 2.58476i) q^{13} +(3.94309 + 6.23061i) q^{14} +(1.09602 + 0.453985i) q^{15} +(15.3490 - 8.86173i) q^{16} +(-4.05753 - 0.732401i) q^{17} +(-1.39346 + 2.41354i) q^{18} +(0.224303 + 1.70375i) q^{19} +(-3.80088 + 5.68841i) q^{20} +(1.66222 - 2.05840i) q^{21} +(-13.7954 + 2.74407i) q^{22} +(0.727952 + 0.358986i) q^{23} +(-7.89287 - 6.92186i) q^{24} +(-0.468935 + 3.56191i) q^{25} +(-8.08213 - 6.20164i) q^{26} +(0.980785 + 0.195090i) q^{27} +(9.77240 + 11.7176i) q^{28} +(-1.23681 - 6.21785i) q^{29} +(3.19352 + 0.855701i) q^{30} +(6.13850 - 3.02718i) q^{31} +(22.5294 - 17.2874i) q^{32} +(2.52351 + 4.37085i) q^{33} +(-11.4777 - 0.547686i) q^{34} +(-2.86908 - 1.27272i) q^{35} +(-2.20690 + 5.32793i) q^{36} +(-0.0705145 + 1.07584i) q^{37} +(1.23953 + 4.62601i) q^{38} +(-1.17499 + 3.46141i) q^{39} +(-5.50829 + 11.1697i) q^{40} +(-1.14998 + 5.78132i) q^{41} +(3.84408 - 6.29217i) q^{42} +(-0.843324 - 2.03596i) q^{43} +(-27.5611 + 9.35573i) q^{44} +(-0.0775890 - 1.18378i) q^{45} +(2.14197 + 0.727102i) q^{46} +(0.148900 - 0.555702i) q^{47} +(-14.7365 - 9.84663i) q^{48} +(-4.53163 + 5.33520i) q^{49} +10.0124i q^{50} +(1.13773 + 3.96302i) q^{51} +(-18.2561 - 10.5402i) q^{52} +(6.13161 + 7.99086i) q^{53} +(2.78095 + 0.182273i) q^{54} +(4.23371 - 4.23371i) q^{55} +(20.4217 + 18.8261i) q^{56} +(1.42884 - 0.954723i) q^{57} +(-5.67924 - 16.7305i) q^{58} +(0.992049 + 0.130606i) q^{59} +(6.78287 + 0.892982i) q^{60} +(1.85382 + 5.46118i) q^{61} +(15.8600 - 10.5973i) q^{62} +(-2.58131 - 0.580397i) q^{63} +(30.8971 - 30.8971i) q^{64} +(4.32719 + 0.283619i) q^{65} +(8.56261 + 11.1590i) q^{66} +(-8.45413 - 4.88099i) q^{67} +(-23.6953 + 1.97645i) q^{68} -0.811656i q^{69} +(-8.39047 - 2.47295i) q^{70} +(-2.06524 - 1.37995i) q^{71} +(-2.71710 + 10.1404i) q^{72} +(12.2817 + 4.16907i) q^{73} +(0.196518 + 2.99829i) q^{74} +(3.40199 - 1.15482i) q^{75} +(3.79246 + 9.15581i) q^{76} +(-6.38754 - 11.7263i) q^{77} +(-1.98744 + 9.99156i) q^{78} +(1.48954 - 3.02050i) q^{79} +(-6.75848 + 19.9098i) q^{80} +(-0.258819 - 0.965926i) q^{81} +(-1.07442 + 16.3925i) q^{82} +(2.94109 - 7.10042i) q^{83} +(6.18693 - 13.9471i) q^{84} +(4.19188 - 2.52054i) q^{85} +(-3.07078 - 5.31875i) q^{86} +(-5.02960 + 3.85935i) q^{87} +(-47.5199 + 23.4342i) q^{88} +(-0.733545 - 0.196553i) q^{89} +(-0.645003 - 3.24265i) q^{90} +(3.33504 - 9.07806i) q^{91} +(4.59081 + 0.913169i) q^{92} +(-5.42998 - 4.16657i) q^{93} +(0.209276 - 1.58961i) q^{94} +(-1.53273 - 1.34417i) q^{95} +(-25.4691 - 12.5600i) q^{96} +(-0.768646 + 0.152893i) q^{97} +(-10.5805 + 16.3900i) q^{98} +(2.80397 - 4.19644i) 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

)

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

$2$	2.76308	−	0.363766i	1.95379	−	0.257221i	0.954615	−	0.297843i	$-0.0962671\pi$
$2$	2.76308	−	0.363766i	1.95379	−	0.257221i	0.999175	+	0.0406215i	$0.0129338\pi$
$3$	−0.442289	−	0.896873i	−0.255355	−	0.517810i
$3$	−0.442289	−	0.896873i	−0.255355	−	0.517810i
$4$	5.57041	−	1.49259i	2.78521	−	0.746293i
$5$	−0.891922	+	0.782194i	−0.398880	+	0.349808i	−0.835164	−	0.550001i	$-0.814627\pi$
$5$	−0.891922	+	0.782194i	−0.398880	+	0.349808i	0.436285	+	0.899809i	$0.356294\pi$
$6$	−1.54833	−	2.31724i	−0.632103	−	0.946008i
$7$	1.11094	+	2.40121i	0.419895	+	0.907572i
$7$	1.11094	+	2.40121i	0.419895	+	0.907572i
$8$	9.69896	−	4.01744i	3.42910	−	1.42038i
$9$	−0.608761	+	0.793353i	−0.202920	+	0.264451i
$10$	−2.17991	+	2.48571i	−0.689349	+	0.786052i
$11$	−5.03621	+	0.330091i	−1.51848	+	0.0995261i	−0.801678	−	0.597756i	$-0.796059\pi$
$11$	−5.03621	+	0.330091i	−1.51848	+	0.0995261i	−0.716797	+	0.697282i	$0.754393\pi$
$12$	−3.80239	−	4.33579i	−1.09766	−	1.25164i
$13$	−2.58476	−	2.58476i	−0.716883	−	0.716883i	0.251083	−	0.967966i	$-0.419213\pi$
$13$	−2.58476	−	2.58476i	−0.716883	−	0.716883i	−0.967966	+	0.251083i	$0.919213\pi$
$14$	3.94309	+	6.23061i	1.05383	+	1.66520i
$15$	1.09602	+	0.453985i	0.282990	+	0.117218i
$16$	15.3490	−	8.86173i	3.83724	−	2.21543i
$17$	−4.05753	−	0.732401i	−0.984097	−	0.177633i
$17$	−4.05753	−	0.732401i	−0.984097	−	0.177633i
$18$	−1.39346	+	2.41354i	−0.328441	+	0.568877i
$19$	0.224303	+	1.70375i	0.0514587	+	0.390868i	0.997721	+	0.0674688i	$0.0214923\pi$
$19$	0.224303	+	1.70375i	0.0514587	+	0.390868i	−0.946263	+	0.323399i	$0.895174\pi$
$20$	−3.80088	+	5.68841i	−0.849902	+	1.27197i
$21$	1.66222	−	2.05840i	0.362727	−	0.449180i
$22$	−13.7954	+	2.74407i	−2.94118	+	0.585037i
$23$	0.727952	+	0.358986i	0.151788	+	0.0748538i	0.516597	−	0.856229i	$-0.327199\pi$
$23$	0.727952	+	0.358986i	0.151788	+	0.0748538i	−0.364808	+	0.931083i	$0.618865\pi$
$24$	−7.89287	−	6.92186i	−1.61113	−	1.41292i
$25$	−0.468935	+	3.56191i	−0.0937869	+	0.712382i
$26$	−8.08213	−	6.20164i	−1.58504	−	1.21624i
$27$	0.980785	+	0.195090i	0.188752	+	0.0375451i
$28$	9.77240	+	11.7176i	1.84681	+	2.21441i
$29$	−1.23681	−	6.21785i	−0.229669	−	1.15463i	−0.907709	−	0.419601i	$-0.862170\pi$
$29$	−1.23681	−	6.21785i	−0.229669	−	1.15463i	0.678039	−	0.735026i	$-0.262830\pi$
$30$	3.19352	+	0.855701i	0.583054	+	0.156229i
$31$	6.13850	−	3.02718i	1.10251	−	0.543697i	0.202373	−	0.979308i	$-0.435135\pi$
$31$	6.13850	−	3.02718i	1.10251	−	0.543697i	0.900135	+	0.435612i	$0.143468\pi$
$32$	22.5294	−	17.2874i	3.98267	−	3.05601i
$33$	2.52351	+	4.37085i	0.439287	+	0.760867i
$34$	−11.4777	−	0.547686i	−1.96841	−	0.0939274i
$35$	−2.86908	−	1.27272i	−0.484964	−	0.215129i
$36$	−2.20690	+	5.32793i	−0.367817	+	0.887989i
$37$	−0.0705145	+	1.07584i	−0.0115925	+	0.176868i	0.988136	+	0.153580i	$0.0490801\pi$
$37$	−0.0705145	+	1.07584i	−0.0115925	+	0.176868i	−0.999729	+	0.0232880i	$0.992587\pi$
$38$	1.23953	+	4.62601i	0.201079	+	0.750437i
$39$	−1.17499	+	3.46141i	−0.188149	+	0.554269i
$40$	−5.50829	+	11.1697i	−0.870938	+	1.76609i
$41$	−1.14998	+	5.78132i	−0.179596	+	0.902891i	0.780912	+	0.624640i	$0.214754\pi$
$41$	−1.14998	+	5.78132i	−0.179596	+	0.902891i	−0.960509	+	0.278250i	$0.910246\pi$
$42$	3.84408	−	6.29217i	0.593154	−	0.970904i
$43$	−0.843324	−	2.03596i	−0.128606	−	0.310482i	0.846441	−	0.532483i	$-0.178741\pi$
$43$	−0.843324	−	2.03596i	−0.128606	−	0.310482i	−0.975046	+	0.222002i	$0.928741\pi$
$44$	−27.5611	+	9.35573i	−4.15499	+	1.41043i
$45$	−0.0775890	−	1.18378i	−0.0115663	−	0.176467i
$46$	2.14197	+	0.727102i	0.315817	+	0.107205i
$47$	0.148900	−	0.555702i	0.0217193	−	0.0810575i	−0.954216	−	0.299120i	$-0.903307\pi$
$47$	0.148900	−	0.555702i	0.0217193	−	0.0810575i	0.975935	+	0.218062i	$0.0699736\pi$
$48$	−14.7365	−	9.84663i	−2.12703	−	1.42124i
$49$	−4.53163	+	5.33520i	−0.647376	+	0.762171i
$50$			10.0124i			1.41597i
$51$	1.13773	+	3.96302i	0.159314	+	0.554934i
$52$	−18.2561	−	10.5402i	−2.53167	−	1.46166i
$53$	6.13161	+	7.99086i	0.842241	+	1.09763i	0.994018	+	0.109215i	$0.0348336\pi$
$53$	6.13161	+	7.99086i	0.842241	+	1.09763i	−0.151777	+	0.988415i	$0.548500\pi$
$54$	2.78095	+	0.182273i	0.378440	+	0.0248042i
$55$	4.23371	−	4.23371i	0.570874	−	0.570874i
$56$	20.4217	+	18.8261i	2.72896	+	2.51575i
$57$	1.42884	−	0.954723i	0.189255	−	0.126456i
$58$	−5.67924	−	16.7305i	−0.745720	−	2.19682i
$59$	0.992049	+	0.130606i	0.129154	+	0.0170034i	0.194826	−	0.980838i	$-0.437586\pi$
$59$	0.992049	+	0.130606i	0.129154	+	0.0170034i	−0.0656722	+	0.997841i	$0.520919\pi$
$60$	6.78287	+	0.892982i	0.875665	+	0.115283i
$61$	1.85382	+	5.46118i	0.237357	+	0.699232i	0.998704	+	0.0508877i	$0.0162050\pi$
$61$	1.85382	+	5.46118i	0.237357	+	0.699232i	−0.761347	+	0.648345i	$0.775462\pi$
$62$	15.8600	−	10.5973i	2.01422	−	1.34586i
$63$	−2.58131	−	0.580397i	−0.325214	−	0.0731232i
$64$	30.8971	−	30.8971i	3.86214	−	3.86214i
$65$	4.32719	+	0.283619i	0.536721	+	0.0351786i
$66$	8.56261	+	11.1590i	1.05398	+	1.37358i
$67$	−8.45413	−	4.88099i	−1.03284	−	0.596308i	−0.115040	−	0.993361i	$-0.536700\pi$
$67$	−8.45413	−	4.88099i	−1.03284	−	0.596308i	−0.917796	+	0.397053i	$0.870033\pi$
$68$	−23.6953	+	1.97645i	−2.87348	+	0.239680i
$69$		−	0.811656i		−	0.0977119i
$70$	−8.39047	−	2.47295i	−1.00285	−	0.295574i
$71$	−2.06524	−	1.37995i	−0.245099	−	0.163770i	0.426953	−	0.904274i	$-0.359587\pi$
$71$	−2.06524	−	1.37995i	−0.245099	−	0.163770i	−0.672052	+	0.740504i	$0.734587\pi$
$72$	−2.71710	+	10.1404i	−0.320214	+	1.19505i
$73$	12.2817	+	4.16907i	1.43746	+	0.487952i	0.928012	−	0.372549i	$-0.121516\pi$
$73$	12.2817	+	4.16907i	1.43746	+	0.487952i	0.509448	+	0.860501i	$0.329850\pi$
$74$	0.196518	+	2.99829i	0.0228448	+	0.348544i
$75$	3.40199	−	1.15482i	0.392827	−	0.133347i
$76$	3.79246	+	9.15581i	0.435025	+	1.05024i
$77$	−6.38754	−	11.7263i	−0.727928	−	1.33634i
$78$	−1.98744	+	9.99156i	−0.225034	+	1.13132i
$79$	1.48954	−	3.02050i	0.167587	−	0.339832i	−0.796837	−	0.604195i	$-0.793495\pi$
$79$	1.48954	−	3.02050i	0.167587	−	0.339832i	0.964423	+	0.264362i	$0.0851615\pi$
$80$	−6.75848	+	19.9098i	−0.755621	+	2.22599i
$81$	−0.258819	−	0.965926i	−0.0287577	−	0.107325i
$82$	−1.07442	+	16.3925i	−0.118650	+	1.81025i
$83$	2.94109	−	7.10042i	0.322826	−	0.779372i	−0.676261	−	0.736662i	$-0.736401\pi$
$83$	2.94109	−	7.10042i	0.322826	−	0.779372i	0.999088	−	0.0427099i	$-0.0135991\pi$
$84$	6.18693	−	13.9471i	0.675050	−	1.52176i
$85$	4.19188	−	2.52054i	0.454674	−	0.273391i
$86$	−3.07078	−	5.31875i	−0.331131	−	0.573536i
$87$	−5.02960	+	3.85935i	−0.539229	+	0.413765i
$88$	−47.5199	+	23.4342i	−5.06564	+	2.49810i
$89$	−0.733545	−	0.196553i	−0.0777557	−	0.0208346i	0.219731	−	0.975560i	$-0.429482\pi$
$89$	−0.733545	−	0.196553i	−0.0777557	−	0.0208346i	−0.297487	+	0.954726i	$0.596149\pi$
$90$	−0.645003	−	3.24265i	−0.0679892	−	0.341805i
$91$	3.33504	−	9.07806i	0.349607	−	0.951639i
$92$	4.59081	+	0.913169i	0.478625	+	0.0952044i
$93$	−5.42998	−	4.16657i	−0.563063	−	0.432053i
$94$	0.209276	−	1.58961i	0.0215852	−	0.163956i
$95$	−1.53273	−	1.34417i	−0.157255	−	0.137909i
$96$	−25.4691	−	12.5600i	−2.59943	−	1.28190i
$97$	−0.768646	+	0.152893i	−0.0780442	+	0.0155240i	−0.233958	−	0.972247i	$-0.575168\pi$
$97$	−0.768646	+	0.152893i	−0.0780442	+	0.0155240i	0.155914	+	0.987771i	$0.450168\pi$
$98$	−10.5805	+	16.3900i	−1.06879	+	1.65564i
$99$	2.80397	−	4.19644i	0.281810	−	0.421758i
$100$	2.70430	+	20.5412i	0.270430	+	2.05412i
$101$	4.02294	−	6.96793i	0.400297	−	0.693335i	−0.593464	−	0.804860i	$-0.702240\pi$
$101$	4.02294	−	6.96793i	0.400297	−	0.693335i	0.993762	+	0.111525i	$0.0355736\pi$
$102$	4.58525	+	10.5363i	0.454008	+	1.04325i
$103$	9.75429	−	5.63164i	0.961119	−	0.554902i	0.0646018	−	0.997911i	$-0.479422\pi$
$103$	9.75429	−	5.63164i	0.961119	−	0.554902i	0.896517	+	0.443009i	$0.146089\pi$
$104$	−35.4536	−	14.6854i	−3.47651	−	1.44002i
$105$	0.127494	+	3.13611i	0.0124421	+	0.306053i
$106$	19.8489	+	19.8489i	1.92789	+	1.92789i
$107$	−5.13886	−	5.85975i	−0.496793	−	0.566484i	0.448050	−	0.894009i	$-0.352119\pi$
$107$	−5.13886	−	5.85975i	−0.496793	−	0.566484i	−0.944842	+	0.327525i	$0.893785\pi$
$108$	5.75457	−	0.377174i	0.553733	−	0.0362936i
$109$	−0.320717	+	0.365708i	−0.0307191	+	0.0350285i	−0.766995	−	0.641653i	$-0.778249\pi$
$109$	−0.320717	+	0.365708i	−0.0307191	+	0.0350285i	0.736276	+	0.676681i	$0.236582\pi$
$110$	10.1580	−	13.2382i	0.968526	−	1.26221i
$111$	0.996082	−	0.412591i	0.0945439	−	0.0391614i
$112$	38.3306	+	27.0113i	3.62191	+	2.55232i
$113$	−0.749271	−	1.12136i	−0.0704854	−	0.105489i	0.794552	−	0.607196i	$-0.207706\pi$
$113$	−0.749271	−	1.12136i	−0.0704854	−	0.105489i	−0.865038	+	0.501707i	$0.832706\pi$
$114$	3.60071	−	3.15774i	0.337237	−	0.295749i
$115$	−0.930073	+	0.249212i	−0.0867298	+	0.0232392i
$116$	−16.1702	−	32.7900i	−1.50137	−	3.04447i
$117$	3.62413	−	0.477125i	0.335051	−	0.0441103i
$118$	2.78861			0.256713
$119$	−2.74903	−	10.5566i	−0.252003	−	0.967727i
$120$	12.4541			1.13690
$121$	14.3486	−	1.88903i	1.30442	−	0.171730i
$122$	7.10884	+	14.4153i	0.643604	+	1.30510i
$123$	5.69373	−	1.52563i	0.513386	−	0.137561i
$124$	29.6757	−	26.0249i	2.66495	−	2.33710i
$125$	−5.66327	−	8.47569i	−0.506538	−	0.758088i
$126$	−7.34347	−	0.664691i	−0.654208	−	0.0592154i
$127$	−1.57031	+	0.650446i	−0.139343	+	0.0577177i	−0.451265	−	0.892390i	$-0.649027\pi$
$127$	−1.57031	+	0.650446i	−0.139343	+	0.0577177i	0.311922	+	0.950108i	$0.399027\pi$
$128$	39.5569	−	51.5515i	3.49637	−	4.55655i
$129$	−1.45301	+	1.65684i	−0.127930	+	0.145876i
$130$	12.0595	−	0.790422i	1.05769	−	0.0693246i
$131$	−3.58441	−	4.08723i	−0.313171	−	0.357103i	0.573745	−	0.819034i	$-0.305490\pi$
$131$	−3.58441	−	4.08723i	−0.313171	−	0.357103i	−0.886916	+	0.461931i	$0.847157\pi$
$132$	20.5809	+	20.5809i	1.79133	+	1.79133i
$133$	−3.84188	+	2.43137i	−0.333134	+	0.210826i
$134$	−25.1349	−	10.4112i	−2.17133	−	0.899393i
$135$	−1.02738	+	0.593159i	−0.0884230	+	0.0510510i
$136$	−42.2962	+	9.19738i	−3.62687	+	0.788669i
$137$	−5.04734	+	8.74224i	−0.431223	+	0.746900i	−0.996979	−	0.0776725i	$-0.975251\pi$
$137$	−5.04734	+	8.74224i	−0.431223	+	0.746900i	0.565756	+	0.824573i	$0.308584\pi$
$138$	−0.295253	−	2.24267i	−0.0251336	−	0.190908i
$139$	11.2166	−	16.7868i	0.951378	−	1.42384i	0.0461383	−	0.998935i	$-0.485308\pi$
$139$	11.2166	−	16.7868i	0.951378	−	1.42384i	0.905239	−	0.424902i	$-0.139692\pi$
$140$	−17.8816	−	2.80723i	−1.51127	−	0.237254i
$141$	−0.564251	+	0.112236i	−0.0475185	+	0.00945201i
$142$	−6.20838	−	3.06164i	−0.520996	−	0.256927i
$143$	13.8706	+	12.1642i	1.15992	+	1.01722i
$144$	−2.31338	+	17.5718i	−0.192781	+	1.46432i
$145$	5.96671	+	4.57842i	0.495508	+	0.380217i
$146$	35.4517	+	7.05179i	2.93401	+	0.583610i
$147$	6.78928	+	1.70460i	0.559971	+	0.140593i
$148$	1.21299	+	6.09814i	0.0997076	+	0.501264i
$149$	−2.96893	−	0.795523i	−0.243224	−	0.0651718i	0.135147	−	0.990826i	$-0.456849\pi$
$149$	−2.96893	−	0.795523i	−0.243224	−	0.0651718i	−0.378372	+	0.925654i	$0.623516\pi$
$150$	8.97986	−	4.42838i	0.733203	−	0.361576i
$151$	−12.6975	+	9.74317i	−1.03331	+	0.792888i	−0.978633	−	0.205616i	$-0.934080\pi$
$151$	−12.6975	+	9.74317i	−1.03331	+	0.792888i	−0.0546791	+	0.998504i	$0.517414\pi$
$152$	9.02024	+	15.6235i	0.731638	+	1.26723i
$153$	3.05112	−	2.77320i	0.246669	−	0.224200i
$154$	−21.9149	−	30.0771i	−1.76595	−	2.42368i
$155$	−3.10723	+	7.50151i	−0.249578	+	0.602536i
$156$	−1.37872	+	21.0352i	−0.110386	+	1.68417i
$157$	4.82593	+	18.0106i	0.385151	+	1.43740i	0.837929	+	0.545779i	$0.183766\pi$
$157$	4.82593	+	18.0106i	0.385151	+	1.43740i	−0.452778	+	0.891623i	$0.649567\pi$
$158$	3.01697	−	8.88770i	0.240017	−	0.707068i
$159$	4.45485	−	9.03354i	0.353292	−	0.716406i
$160$	−6.57234	+	33.0414i	−0.519589	+	2.61215i
$161$	−0.0532913	+	2.14678i	−0.00419994	+	0.169190i
$162$	−1.06651	−	2.57478i	−0.0837927	−	0.202294i
$163$	−0.0535630	+	0.0181822i	−0.00419537	+	0.00142414i	−0.323536	−	0.946216i	$-0.604872\pi$
$163$	−0.0535630	+	0.0181822i	−0.00419537	+	0.00142414i	0.319341	+	0.947640i	$0.396538\pi$
$164$	2.22328	+	33.9208i	0.173609	+	2.64877i
$165$	−5.66963	−	1.92458i	−0.441380	−	0.149828i
$166$	5.54356	−	20.6889i	0.430264	−	1.60577i
$167$	−16.7703	−	11.2056i	−1.29772	−	0.867112i	−0.301461	−	0.953478i	$-0.597474\pi$
$167$	−16.7703	−	11.2056i	−1.29772	−	0.867112i	−0.996263	+	0.0863663i	$0.972474\pi$
$168$	7.85235	−	26.6422i	0.605822	−	2.05549i
$169$			0.361951i			0.0278424i
$170$	10.6656	−	8.48930i	0.818015	−	0.651100i
$171$	−1.48823	−	0.859228i	−0.113807	−	0.0657068i
$172$	−7.73651	−	10.0824i	−0.589904	−	0.768777i
$173$	−14.6731	−	0.961726i	−1.11558	−	0.0731187i	−0.503557	−	0.863962i	$-0.667976\pi$
$173$	−14.6731	−	0.961726i	−1.11558	−	0.0731187i	−0.612019	+	0.790843i	$0.709642\pi$
$174$	−12.4933	+	12.4933i	−0.947112	+	0.947112i
$175$	−9.07386	+	2.83106i	−0.685919	+	0.214008i
$176$	−74.3755	+	49.6961i	−5.60626	+	3.74599i
$177$	−0.321635	−	0.947507i	−0.0241756	−	0.0712190i
$178$	−2.09834	−	0.276252i	−0.157277	−	0.0207059i
$179$	−3.63260	−	0.478241i	−0.271513	−	0.0357454i	−0.00645993	−	0.999979i	$-0.502056\pi$
$179$	−3.63260	−	0.478241i	−0.271513	−	0.0357454i	−0.265053	+	0.964234i	$0.585390\pi$
$180$	−2.19910	−	6.47833i	−0.163911	−	0.482866i
$181$	4.79124	−	3.20140i	0.356130	−	0.237958i	−0.364616	−	0.931158i	$-0.618800\pi$
$181$	4.79124	−	3.20140i	0.356130	−	0.237958i	0.720746	+	0.693200i	$0.243800\pi$
$182$	5.91268	−	26.2965i	0.438277	−	1.94923i
$183$	4.07806	−	4.07806i	0.301459	−	0.301459i
$184$	8.50258	+	0.557289i	0.626819	+	0.0410839i
$185$	−0.778625	−	1.01472i	−0.0572457	−	0.0746040i
$186$	−16.5191	−	9.53731i	−1.21124	−	0.699310i
$187$	20.6764	+	2.34917i	1.51201	+	0.171788i
$188$		−	3.31773i		−	0.241971i
$189$	0.621140	+	2.57181i	0.0451813	+	0.187071i
$190$	−4.72400	−	3.15648i	−0.342715	−	0.228995i
$191$	−4.24070	+	15.8265i	−0.306846	+	1.14517i	0.624498	+	0.781026i	$0.285303\pi$
$191$	−4.24070	+	15.8265i	−0.306846	+	1.14517i	−0.931344	+	0.364139i	$0.881363\pi$
$192$	−41.3762	−	14.0453i	−2.98607	−	1.01363i
$193$	−0.0100857	−	0.153878i	−0.000725985	−	0.0110764i	0.997481	−	0.0709403i	$-0.0226000\pi$
$193$	−0.0100857	−	0.153878i	−0.000725985	−	0.0110764i	−0.998207	+	0.0598639i	$0.980933\pi$
$194$	−2.06821	+	0.702063i	−0.148489	+	0.0504052i
$195$	−1.65950	−	4.00638i	−0.118839	−	0.286903i
$196$	−17.2798	+	36.4831i	−1.23427	+	2.60594i
$197$	0.327162	−	1.64476i	0.0233093	−	0.117184i	−0.967379	−	0.253334i	$-0.918473\pi$
$197$	0.327162	−	1.64476i	0.0233093	−	0.117184i	0.990688	+	0.136150i	$0.0434729\pi$
$198$	6.22107	−	12.6151i	0.442112	−	0.896515i
$199$	−1.18883	+	3.50218i	−0.0842740	+	0.248263i	−0.980896	−	0.194534i	$-0.937681\pi$
$199$	−1.18883	+	3.50218i	−0.0842740	+	0.248263i	0.896622	+	0.442797i	$0.146014\pi$
$200$	9.76159	+	36.4308i	0.690249	+	2.57604i
$201$	−0.638464	+	9.74108i	−0.0450338	+	0.687083i
$202$	8.58098	−	20.7163i	0.603756	−	1.45760i
$203$	13.5564	−	9.87749i	0.951470	−	0.693264i
$204$	12.2528	+	20.3775i	0.857867	+	1.42671i
$205$	−3.49643	−	6.05599i	−0.244201	−	0.422969i
$206$	24.9033	−	19.1089i	1.73509	−	1.33138i
$207$	−0.727952	+	0.358986i	−0.0505962	+	0.0249513i
$208$	−62.5788	−	16.7679i	−4.33906	−	1.16265i
$209$	−1.69203	−	8.50643i	−0.117040	−	0.588402i
$210$	1.49309	+	8.61894i	0.103033	+	0.594764i
$211$	22.7056	+	4.51642i	1.56312	+	0.310923i	0.899422	−	0.437081i	$-0.143988\pi$
$211$	22.7056	+	4.51642i	1.56312	+	0.310923i	0.663694	+	0.748004i	$0.268988\pi$
$212$	46.0826	+	35.3604i	3.16497	+	2.42856i
$213$	−0.324206	+	2.46259i	−0.0222142	+	0.168734i
$214$	−16.3306	−	14.3216i	−1.11634	−	0.979004i
$215$	2.34470	+	1.15628i	0.159907	+	0.0788575i
$216$	10.2964	−	2.04807i	0.700579	−	0.139354i
$217$	14.0884	+	11.3768i	0.956382	+	0.772310i
$218$	−0.753134	+	1.12714i	−0.0510087	+	0.0763399i
$219$	−1.69292	−	12.8590i	−0.114397	−	0.868932i
$220$	17.2643	−	29.9027i	1.16396	−	2.01604i
$221$	8.59467	+	12.3808i	0.578140	+	0.832824i
$222$	2.60216	−	1.50236i	0.174646	−	0.100832i
$223$	−10.5582	−	4.37337i	−0.707032	−	0.292862i	4.35163e−5	−	1.00000i	$-0.499986\pi$
$223$	−10.5582	−	4.37337i	−0.707032	−	0.292862i	−0.707076	+	0.707138i	$0.749986\pi$
$224$	66.5395	+	34.8926i	4.44586	+	2.33136i
$225$	−2.54039	−	2.54039i	−0.169359	−	0.169359i
$226$	−2.47820	−	2.82585i	−0.164848	−	0.187973i
$227$	−5.09253	+	0.333782i	−0.338003	+	0.0221539i	−0.233460	−	0.972366i	$-0.575005\pi$
$227$	−5.09253	+	0.333782i	−0.338003	+	0.0221539i	−0.104543	+	0.994520i	$0.533338\pi$
$228$	6.53424	−	7.45087i	0.432740	−	0.493446i
$229$	−15.7116	+	20.4757i	−1.03825	+	1.35307i	−0.104750	+	0.994499i	$0.533404\pi$
$229$	−15.7116	+	20.4757i	−1.03825	+	1.35307i	−0.933500	+	0.358576i	$0.883262\pi$
$230$	−2.47921	+	1.02692i	−0.163474	+	0.0677132i
$231$	−7.69186	+	10.9152i	−0.506087	+	0.718169i
$232$	−36.9756	−	55.3379i	−2.42757	−	3.63311i
$233$	−10.0937	+	8.85197i	−0.661263	+	0.579912i	−0.922799	−	0.385282i	$-0.874104\pi$
$233$	−10.0937	+	8.85197i	−0.661263	+	0.579912i	0.261536	+	0.965194i	$0.415771\pi$
$234$	9.84018	−	2.63667i	0.643273	−	0.172364i
$235$	0.301860	+	0.612111i	0.0196912	+	0.0399297i
$236$	5.72106	−	0.753191i	0.372409	−	0.0490286i
$237$	−3.36781			−0.218763
$238$	−11.4359	−	28.1688i	−0.741280	−	1.82591i
$239$	26.4929			1.71368			0.856841	−	0.515580i	$-0.172424\pi$
$239$	26.4929			1.71368			0.856841	+	0.515580i	$0.172424\pi$
$240$	20.8458	−	2.74440i	1.34559	−	0.177150i
$241$	2.88148	+	5.84305i	0.185612	+	0.376384i	0.969712	−	0.244250i	$-0.0785418\pi$
$241$	2.88148	+	5.84305i	0.185612	+	0.376384i	−0.784100	+	0.620634i	$0.786875\pi$
$242$	38.9591	−	10.4391i	2.50438	−	0.671048i
$243$	−0.751840	+	0.659346i	−0.0482305	+	0.0422971i
$244$	18.4778	+	27.6540i	1.18292	+	1.77037i
$245$	−0.131304	−	8.30319i	−0.00838869	−	0.530472i
$246$	15.1772	−	6.28662i	0.967665	−	0.400820i
$247$	3.82402	−	4.98356i	0.243317	−	0.317096i
$248$	47.3756	−	54.0215i	3.00835	−	3.43037i
$249$	−7.66898	+	0.502651i	−0.486002	+	0.0318542i
$250$	−18.7312	−	21.3589i	−1.18467	−	1.35085i
$251$	3.55668	+	3.55668i	0.224496	+	0.224496i	0.810388	−	0.585893i	$-0.199256\pi$
$251$	3.55668	+	3.55668i	0.224496	+	0.224496i	−0.585893	+	0.810388i	$0.699256\pi$
$252$	−15.2452	+	0.619771i	−0.960359	+	0.0390419i
$253$	−3.78462	−	1.56764i	−0.237937	−	0.0985567i
$254$	−4.10229	+	2.36846i	−0.257400	+	0.148610i
$255$	−4.11462	−	2.64478i	−0.257668	−	0.165623i
$256$	46.8508	−	81.1480i	2.92818	−	5.07175i
$257$	3.78192	+	28.7265i	0.235910	+	1.79191i	0.542486	+	0.840065i	$0.317483\pi$
$257$	3.78192	+	28.7265i	0.235910	+	1.79191i	−0.306576	+	0.951846i	$0.599183\pi$
$258$	−3.41207	+	5.10652i	−0.212426	+	0.317918i
$259$	−2.66166	+	1.02588i	−0.165388	+	0.0637448i
$260$	24.5275	−	4.87883i	1.52113	−	0.302572i
$261$	5.68588	+	2.80396i	0.351947	+	0.173561i
$262$	−11.3908	−	9.98945i	−0.703725	−	0.617150i
$263$	1.21580	−	9.23491i	0.0749694	−	0.569449i	−0.912197	−	0.409753i	$-0.865615\pi$
$263$	1.21580	−	9.23491i	0.0749694	−	0.569449i	0.987166	−	0.159697i	$-0.0510516\pi$
$264$	42.0350	+	32.2546i	2.58708	+	1.98513i
$265$	−11.7193	−	2.33112i	−0.719912	−	0.143199i
$266$	−9.73097	+	8.11560i	−0.596644	+	0.497599i
$267$	0.148156	+	0.744830i	0.00906699	+	0.0455829i
$268$	−54.3783	−	14.5706i	−3.32168	−	0.890042i
$269$	−23.0022	+	11.3434i	−1.40247	+	0.691622i	−0.976978	−	0.213340i	$-0.931566\pi$
$269$	−23.0022	+	11.3434i	−1.40247	+	0.691622i	−0.425493	+	0.904962i	$0.639899\pi$
$270$	−2.62296	+	2.01267i	−0.159629	+	0.122487i
$271$	−9.13357	−	15.8198i	−0.554825	−	0.960984i	−0.997917	−	0.0645086i	$-0.979452\pi$
$271$	−9.13357	−	15.8198i	−0.554825	−	0.960984i	0.443093	−	0.896476i	$-0.353881\pi$
$272$	−68.7693	+	24.7152i	−4.16975	+	1.49858i
$273$	−9.61691	+	1.02402i	−0.582042	+	0.0619762i
$274$	−10.7660	+	25.9915i	−0.650401	+	1.57021i
$275$	1.18590	−	18.0933i	0.0715125	−	1.09107i
$276$	−1.21147	−	4.52126i	−0.0729217	−	0.272148i
$277$	−0.968512	+	2.85315i	−0.0581923	+	0.171429i	−0.972139	−	0.234405i	$-0.924686\pi$
$277$	−0.968512	+	2.85315i	−0.0581923	+	0.171429i	0.913947	+	0.405834i	$0.133019\pi$
$278$	24.8858	−	50.4634i	1.49255	−	3.02659i
$279$	−1.33526	+	6.71283i	−0.0799402	+	0.401887i
$280$	−32.9402	−	0.817703i	−1.96855	−	0.0488671i
$281$	0.648141	+	1.56475i	0.0386648	+	0.0933452i	0.942032	−	0.335522i	$-0.108913\pi$
$281$	0.648141	+	1.56475i	0.0386648	+	0.0933452i	−0.903367	+	0.428867i	$0.858913\pi$
$282$	−1.51824	+	0.515373i	−0.0904099	+	0.0306900i
$283$	−0.442183	−	6.74641i	−0.0262851	−	0.401033i	−0.990647	−	0.136447i	$-0.956432\pi$
$283$	−0.442183	−	6.74641i	−0.0262851	−	0.401033i	0.964362	−	0.264585i	$-0.0852351\pi$
$284$	−13.5639	−	4.60433i	−0.804870	−	0.273216i
$285$	−0.527638	+	1.96917i	−0.0312546	+	0.116644i
$286$	42.7504	+	28.5649i	2.52789	+	1.68908i
$287$	−15.1597	+	3.66136i	−0.894850	+	0.216123i
$288$			28.3977i			1.67335i
$289$	15.9272	+	5.94348i	0.936893	+	0.349617i
$290$	18.1519	+	10.4800i	1.06592	+	0.615408i
$291$	0.477089	+	0.621755i	0.0279675	+	0.0364479i
$292$	74.6366	+	4.89194i	4.36778	+	0.286279i
$293$	16.0083	−	16.0083i	0.935213	−	0.935213i	−0.0628123	−	0.998025i	$-0.520007\pi$
$293$	16.0083	−	16.0083i	0.935213	−	0.935213i	0.998025	+	0.0628123i	$0.0200070\pi$
$294$	19.3794	+	2.24022i	1.13023	+	0.130652i
$295$	−0.986989	+	0.659485i	−0.0574647	+	0.0383967i
$296$	3.63822	+	10.7178i	0.211467	+	0.622962i
$297$	−5.00384	−	0.658768i	−0.290352	−	0.0382256i
$298$	−8.49277	−	1.11809i	−0.491973	−	0.0647695i
$299$	−0.953687	−	2.80947i	−0.0551532	−	0.162476i
$300$	17.2268	−	11.5106i	0.994589	−	0.664563i
$301$	3.95190	−	4.28683i	0.227784	−	0.247089i
$302$	−31.5401	+	31.5401i	−1.81493	+	1.81493i
$303$	−8.02865	−	0.526225i	−0.461234	−	0.0302309i
$304$	18.5410	+	24.1631i	1.06340	+	1.38585i
$305$	−5.92517	−	3.42090i	−0.339274	−	0.195880i
$306$	7.42169	−	8.77246i	0.424270	−	0.501488i
$307$			24.6679i			1.40787i	0.710263	+	0.703936i	$0.248576\pi$
$307$			24.6679i			1.40787i	−0.710263	+	0.703936i	$0.751424\pi$
$308$	−53.0838	−	55.7863i	−3.02473	−	3.17872i
$309$	−9.36508	−	6.25755i	−0.532761	−	0.355979i
$310$	−5.85671	+	21.8575i	−0.332639	+	1.24142i
$311$	29.5641	+	10.0356i	1.67642	+	0.569069i	0.987756	−	0.156007i	$-0.0498624\pi$
$311$	29.5641	+	10.0356i	1.67642	+	0.569069i	0.688668	+	0.725077i	$0.258196\pi$
$312$	2.50982	+	38.2925i	0.142091	+	2.16789i
$313$	5.04096	−	1.71118i	0.284932	−	0.0967214i	−0.175315	−	0.984512i	$-0.556094\pi$
$313$	5.04096	−	1.71118i	0.284932	−	0.0967214i	0.460247	+	0.887791i	$0.347761\pi$
$314$	19.8860	+	48.0092i	1.12223	+	2.70931i
$315$	2.75631	−	1.50141i	0.155300	−	0.0845951i
$316$	3.78902	−	19.0487i	0.213149	−	1.07157i
$317$	−7.37787	+	14.9608i	−0.414383	+	0.840285i	0.585186	+	0.810899i	$0.301022\pi$
$317$	−7.37787	+	14.9608i	−0.414383	+	0.840285i	−0.999568	+	0.0293853i	$0.990645\pi$
$318$	9.02299	−	26.5809i	0.505984	−	1.49058i
$319$	8.28129	+	30.9062i	0.463663	+	1.73041i
$320$	−3.39026	+	51.7253i	−0.189521	+	2.89153i
$321$	−2.98259	+	7.20061i	−0.166472	+	0.401899i
$322$	0.633676	+	5.95110i	0.0353134	+	0.331642i
$323$	0.337711	−	7.07732i	0.0187908	−	0.393793i
$324$	−2.88346	−	4.99429i	−0.160192	−	0.277461i
$325$	10.4188	−	7.99460i	0.577929	−	0.443461i
$326$	−0.141384	+	0.0697231i	−0.00783056	+	0.00386161i
$327$	0.469843	+	0.125894i	0.0259824	+	0.00696196i
$328$	12.0725	+	60.6928i	0.666595	+	3.35120i
$329$	1.49978	−	0.259811i	0.0826854	−	0.0143238i
$330$	−16.3657	−	3.25534i	−0.900902	−	0.179201i
$331$	−20.1095	−	15.4306i	−1.10532	−	0.848141i	−0.115904	−	0.993260i	$-0.536977\pi$
$331$	−20.1095	−	15.4306i	−1.10532	−	0.848141i	−0.989414	+	0.145120i	$0.953643\pi$
$332$	5.78508	−	43.9421i	0.317498	−	2.41163i
$333$	−0.810597	−	0.710875i	−0.0444205	−	0.0389557i
$334$	−50.4138	−	24.8613i	−2.75852	−	1.36035i
$335$	11.3583	−	2.25931i	0.620570	−	0.123439i
$336$	7.27245	−	46.3245i	0.396745	−	2.52721i
$337$	13.6014	−	20.3560i	0.740917	−	1.10886i	−0.249178	−	0.968458i	$-0.580160\pi$
$337$	13.6014	−	20.3560i	0.740917	−	1.10886i	0.990094	−	0.140403i	$-0.0448397\pi$
$338$	0.131665	+	1.00010i	0.00716165	+	0.0543981i
$339$	−0.674326	+	1.16797i	−0.0366243	+	0.0634352i
$340$	19.5884	−	20.2972i	1.06233	−	1.10077i
$341$	−29.9156	+	17.2718i	−1.62002	+	0.935318i
$342$	−4.42464	−	1.83275i	−0.239257	−	0.0991035i
$343$	−17.8453	−	4.95432i	−0.963556	−	0.267508i
$344$	−16.3587	−	16.3587i	−0.882003	−	0.882003i
$345$	0.634873	+	0.723933i	0.0341804	+	0.0389753i
$346$	−40.8927	+	2.68025i	−2.19841	+	0.144091i
$347$	20.6562	−	23.5538i	1.10888	−	1.26444i	0.147545	−	0.989055i	$-0.452863\pi$
$347$	20.6562	−	23.5538i	1.10888	−	1.26444i	0.961335	−	0.275380i	$-0.0888038\pi$
$348$	−22.2565	+	29.0053i	−1.19307	+	1.55484i
$349$	−16.3443	+	6.77003i	−0.874890	+	0.362391i	−0.774513	−	0.632558i	$-0.782005\pi$
$349$	−16.3443	+	6.77003i	−0.874890	+	0.362391i	−0.100377	+	0.994949i	$0.532005\pi$
$350$	−24.0419	+	11.1232i	−1.28509	+	0.594559i
$351$	−2.03083	−	3.03935i	−0.108398	−	0.162229i
$352$	−107.756	+	94.4998i	−5.74343	+	5.03686i
$353$	−19.6520	+	5.26574i	−1.04597	+	0.280267i	−0.740586	−	0.671962i	$-0.765452\pi$
$353$	−19.6520	+	5.26574i	−1.04597	+	0.280267i	−0.305386	+	0.952229i	$0.598785\pi$
$354$	−1.23337	−	2.50103i	−0.0655530	−	0.132928i
$355$	2.92142	−	0.384612i	0.155053	−	0.0204131i
$356$	−4.37952			−0.232114
$357$	−8.25211	+	7.13461i	−0.436748	+	0.377604i
$358$	−10.2111			−0.539675
$359$	−0.581276	+	0.0765264i	−0.0306786	+	0.00403891i	−0.145850	−	0.989307i	$-0.546592\pi$
$359$	−0.581276	+	0.0765264i	−0.0306786	+	0.00403891i	0.115171	+	0.993346i	$0.463258\pi$
$360$	−5.50829	−	11.1697i	−0.290313	−	0.588696i
$361$	15.5001	−	4.15325i	0.815796	−	0.218592i
$362$	12.0740	−	10.5886i	0.634595	−	0.556525i
$363$	−8.04044	−	12.0334i	−0.422014	−	0.631588i
$364$	5.02776	−	55.5464i	0.263526	−	2.91142i
$365$	−14.2153	+	5.88817i	−0.744063	+	0.308201i
$366$	9.78453	−	12.7514i	0.511445	−	0.666529i
$367$	−4.75356	+	5.42040i	−0.248134	+	0.282943i	−0.862477	−	0.506097i	$-0.831088\pi$
$367$	−4.75356	+	5.42040i	−0.248134	+	0.282943i	0.614343	+	0.789039i	$0.289421\pi$
$368$	14.3545	−	0.940847i	0.748282	−	0.0490450i
$369$	−3.88657	−	4.43178i	−0.202327	−	0.230709i
$370$	−2.52052	−	2.52052i	−0.131036	−	0.131036i
$371$	−12.3759	+	23.6006i	−0.642525	+	1.22528i
$372$	−36.4662	−	15.1048i	−1.89068	−	0.783147i
$373$	−0.644231	+	0.371947i	−0.0333570	+	0.0192587i	−0.516586	−	0.856235i	$-0.672797\pi$
$373$	−0.644231	+	0.371947i	−0.0333570	+	0.0192587i	0.483229	+	0.875494i	$0.339464\pi$
$374$	57.9849	−	1.03042i	2.99833	−	0.0532818i
$375$	−5.09681	+	8.82793i	−0.263198	+	0.455873i
$376$	−0.788326	−	5.98793i	−0.0406548	−	0.308804i
$377$	−12.8748	+	19.2685i	−0.663086	+	0.992378i
$378$	2.65179	+	6.88014i	0.136393	+	0.353876i
$379$	−10.9268	+	2.17347i	−0.561271	+	0.111644i	−0.467569	−	0.883957i	$-0.654870\pi$
$379$	−10.9268	+	2.17347i	−0.561271	+	0.111644i	−0.0937018	+	0.995600i	$0.529870\pi$
$380$	−10.5442	−	5.19983i	−0.540906	−	0.266746i
$381$	1.27790	+	1.12069i	0.0654688	+	0.0574146i
$382$	−5.96023	+	45.2724i	−0.304952	+	2.31634i
$383$	11.8233	+	9.07235i	0.604143	+	0.463576i	0.864979	−	0.501808i	$-0.167331\pi$
$383$	11.8233	+	9.07235i	0.604143	+	0.463576i	−0.260836	+	0.965383i	$0.583998\pi$
$384$	−63.7307	−	12.6768i	−3.25224	−	0.646911i
$385$	14.8694	+	5.46264i	0.757817	+	0.278402i
$386$	−0.0838432	−	0.421508i	−0.00426750	−	0.0214542i
$387$	2.12862	+	0.570362i	0.108204	+	0.0289932i
$388$	−4.05347	+	1.99895i	−0.205784	+	0.101481i
$389$	−2.59028	+	1.98760i	−0.131333	+	0.100775i	−0.672339	−	0.740244i	$-0.734710\pi$
$389$	−2.59028	+	1.98760i	−0.131333	+	0.100775i	0.541006	+	0.841019i	$0.318044\pi$
$390$	−6.04269	−	10.4663i	−0.305984	−	0.529979i
$391$	−2.69077	−	1.98975i	−0.136078	−	0.100626i
$392$	−22.5182	+	69.9514i	−1.13734	+	3.53308i
$393$	−2.08039	+	5.02249i	−0.104942	+	0.253351i
$394$	0.305668	−	4.66359i	0.0153993	−	0.234948i
$395$	1.03406	+	3.85916i	0.0520291	+	0.194175i
$396$	9.35573	−	27.5611i	0.470143	−	1.38500i
$397$	1.56731	−	3.17819i	0.0786611	−	0.159509i	−0.853989	−	0.520291i	$-0.825823\pi$
$397$	1.56731	−	3.17819i	0.0786611	−	0.159509i	0.932650	+	0.360782i	$0.117490\pi$
$398$	−2.01086	+	10.1093i	−0.100795	+	0.506731i
$399$	3.87985	+	2.37032i	0.194235	+	0.118664i
$400$	24.3670	+	58.8272i	1.21835	+	2.94136i
$401$	−12.8979	+	4.37825i	−0.644091	+	0.218639i	−0.624324	−	0.781165i	$-0.714626\pi$
$401$	−12.8979	+	4.37825i	−0.644091	+	0.218639i	−0.0197664	+	0.999805i	$0.506292\pi$
$402$	1.77935	+	27.1476i	0.0887458	+	1.35400i
$403$	−23.6911	−	8.04203i	−1.18014	−	0.400602i
$404$	12.0092	−	44.8188i	0.597478	−	2.22982i
$405$	0.986388	+	0.659084i	0.0490140	+	0.0327501i
$406$	33.8642	−	32.2236i	1.68065	−	1.59923i
$407$		−	5.44145i		−	0.269723i
$408$	26.9560	+	33.8664i	1.33452	+	1.67664i
$409$	−22.0349	−	12.7218i	−1.08955	−	0.629055i	−0.156097	−	0.987742i	$-0.549891\pi$
$409$	−22.0349	−	12.7218i	−1.08955	−	0.629055i	−0.933458	+	0.358687i	$0.883225\pi$
$410$	−11.8639	−	15.4613i	−0.585914	−	0.763578i
$411$	10.0731	+	0.660223i	0.496867	+	0.0325664i
$412$	45.9297	−	45.9297i	2.26279	−	2.26279i
$413$	0.788494	+	2.52721i	0.0387992	+	0.124356i
$414$	−1.88080	+	1.25671i	−0.0924362	+	0.0617639i
$415$	2.93068	+	8.63352i	0.143862	+	0.423803i
$416$	−102.917	−	13.5493i	−5.04591	−	0.664307i
$417$	−20.0166	−	2.63523i	−0.980216	−	0.129048i
$418$	−7.76956	−	22.8884i	−0.380022	−	1.11951i
$419$	8.75607	−	5.85062i	0.427762	−	0.285821i	−0.322994	−	0.946401i	$-0.604689\pi$
$419$	8.75607	−	5.85062i	0.427762	−	0.285821i	0.750756	+	0.660580i	$0.229689\pi$
$420$	5.39112	+	17.2791i	0.263060	+	0.843136i
$421$	−23.1182	+	23.1182i	−1.12671	+	1.12671i	−0.136004	+	0.990708i	$0.543426\pi$
$421$	−23.1182	+	23.1182i	−1.12671	+	1.12671i	−0.990708	+	0.136004i	$0.956574\pi$
$422$	64.3801	+	4.21970i	3.13398	+	0.205412i
$423$	0.350224	+	0.456420i	0.0170285	+	0.0221919i
$424$	91.5730	+	52.8697i	4.44718	+	2.56758i
$425$	4.51146	−	14.1091i	0.218838	−	0.684393i
$426$			6.92226i			0.335384i
$427$	−11.0540	+	10.5185i	−0.534939	+	0.509024i
$428$	−37.3718	−	24.9710i	−1.80643	−	1.20702i
$429$	4.77492	−	17.8202i	0.230535	−	0.860370i
$430$	6.89919	+	2.34196i	0.332709	+	0.112939i
$431$	1.35078	+	20.6089i	0.0650648	+	0.992698i	0.898188	+	0.439611i	$0.144884\pi$
$431$	1.35078	+	20.6089i	0.0650648	+	0.992698i	−0.833124	+	0.553087i	$0.813450\pi$
$432$	16.7829	−	5.69702i	0.807467	−	0.274098i
$433$	−8.10508	−	19.5674i	−0.389505	−	0.940349i	−0.990045	−	0.140754i	$-0.955047\pi$
$433$	−8.10508	−	19.5674i	−0.389505	−	0.940349i	0.600539	−	0.799595i	$-0.294953\pi$
$434$	43.0658	+	26.3102i	2.06722	+	1.26293i
$435$	1.46725	−	7.37636i	0.0703492	−	0.353669i
$436$	−1.24068	+	2.51584i	−0.0594176	+	0.120487i
$437$	−0.448342	+	1.32077i	−0.0214471	+	0.0631811i
$438$	−9.35535	−	34.9146i	−0.447016	−	1.66829i
$439$	−0.526260	+	8.02918i	−0.0251170	+	0.383212i	0.966732	+	0.255792i	$0.0823362\pi$
$439$	−0.526260	+	8.02918i	−0.0251170	+	0.383212i	−0.991849	+	0.127420i	$0.959330\pi$
$440$	24.0539	−	58.0713i	1.14673	−	2.76844i
$441$	−1.47402	−	6.84305i	−0.0701913	−	0.325859i
$442$	28.2514	+	31.0827i	1.34378	+	1.47845i
$443$	−6.61829	−	11.4632i	−0.314445	−	0.544634i	0.664875	−	0.746955i	$-0.268485\pi$
$443$	−6.61829	−	11.4632i	−0.314445	−	0.544634i	−0.979319	+	0.202321i	$0.935152\pi$
$444$	4.93276	−	3.78504i	0.234098	−	0.179630i
$445$	0.808008	−	0.398465i	0.0383032	−	0.0188891i
$446$	−30.7641	−	8.24322i	−1.45672	−	0.390328i
$447$	0.599642	+	3.01461i	0.0283621	+	0.142586i
$448$	108.515	+	39.8656i	5.12686	+	1.88347i
$449$	31.1659	+	6.19928i	1.47081	+	0.292562i	0.864486	−	0.502657i	$-0.167644\pi$
$449$	31.1659	+	6.19928i	1.47081	+	0.292562i	0.606323	+	0.795219i	$0.292644\pi$
$450$	−7.94338	−	6.09517i	−0.374455	−	0.287329i
$451$	3.88316	−	29.4956i	0.182851	−	1.38889i
$452$	−5.84748	−	5.12810i	−0.275042	−	0.241205i
$453$	14.3544	+	7.07879i	0.674427	+	0.332591i
$454$	−13.9496	+	2.77476i	−0.654689	+	0.130226i
$455$	4.12621	+	10.7056i	0.193440	+	0.501885i
$456$	10.0228	−	15.0001i	0.469358	−	0.702444i
$457$	0.644309	+	4.89401i	0.0301395	+	0.228932i	0.999885	−	0.0151873i	$-0.00483444\pi$
$457$	0.644309	+	4.89401i	0.0301395	+	0.228932i	−0.969745	+	0.244119i	$0.921501\pi$
$458$	−35.9639	+	62.2913i	−1.68048	+	2.91068i
$459$	−3.83669	−	1.50991i	−0.179081	−	0.0704767i
$460$	−4.80892	+	2.77643i	−0.224217	+	0.129452i
$461$	21.2276	+	8.79278i	0.988670	+	0.409521i	0.817630	−	0.575744i	$-0.195287\pi$
$461$	21.2276	+	8.79278i	0.988670	+	0.409521i	0.171040	+	0.985264i	$0.445287\pi$
$462$	−17.2826	+	32.9576i	−0.804060	+	1.53333i
$463$	−10.8760	−	10.8760i	−0.505450	−	0.505450i	0.407676	−	0.913126i	$-0.366339\pi$
$463$	−10.8760	−	10.8760i	−0.505450	−	0.505450i	−0.913126	+	0.407676i	$0.866339\pi$
$464$	−74.0847	−	84.4774i	−3.43929	−	3.92176i
$465$	8.10219	−	0.531045i	0.375730	−	0.0246266i
$466$	−24.6697	+	28.1304i	−1.14280	+	1.30312i
$467$	9.28519	−	12.1007i	0.429667	−	0.559953i	−0.527475	−	0.849570i	$-0.676861\pi$
$467$	9.28519	−	12.1007i	0.429667	−	0.559953i	0.957143	+	0.289617i	$0.0935279\pi$
$468$	19.4757	−	8.06711i	0.900266	−	0.372902i
$469$	2.32827	−	25.7226i	0.107510	−	1.18776i
$470$	1.05673	+	1.58150i	0.0487432	+	0.0729493i
$471$	14.0188	−	12.2941i	0.645951	−	0.566483i
$472$	10.1465	−	2.71876i	0.467032	−	0.125141i
$473$	4.91921	+	9.97518i	0.226186	+	0.458659i
$474$	−9.30551	+	1.22509i	−0.427416	+	0.0562704i
$475$	−6.17380			−0.283274
$476$	−31.0699	−	54.7017i	−1.42409	−	2.50725i
$477$	−10.0723			−0.461177
$478$	73.2019	−	9.63721i	3.34817	−	0.440796i
$479$	12.8703	+	26.0984i	0.588060	+	1.19247i	0.964020	+	0.265831i	$0.0856464\pi$
$479$	12.8703	+	26.0984i	0.588060	+	1.19247i	−0.375960	+	0.926636i	$0.622687\pi$
$480$	32.5408	−	8.71928i	1.48528	−	0.397979i
$481$	2.96306	−	2.59853i	0.135104	−	0.118483i
$482$	10.0872	+	15.0966i	0.459461	+	0.687632i
$483$	1.94896	−	0.901700i	0.0886806	−	0.0410288i
$484$	77.1080	−	31.9392i	3.50491	−	1.45178i
$485$	0.565980	−	0.737599i	0.0256998	−	0.0334927i
$486$	−1.83754	+	2.09532i	−0.0833526	+	0.0950455i
$487$	−28.5981	+	1.87442i	−1.29590	+	0.0849380i	−0.697691	−	0.716399i	$-0.745789\pi$
$487$	−28.5981	+	1.87442i	−1.29590	+	0.0849380i	−0.598213	+	0.801337i	$0.704122\pi$
$488$	39.9201	+	45.5201i	1.80710	+	2.06060i
$489$	0.0399974	+	0.0399974i	0.00180874	+	0.00180874i
$490$	−3.38322	−	22.8946i	−0.152838	−	1.03427i
$491$	33.2187	+	13.7596i	1.49914	+	0.620964i	0.973283	−	0.229609i	$-0.0737448\pi$
$491$	33.2187	+	13.7596i	1.49914	+	0.620964i	0.525857	+	0.850573i	$0.323745\pi$
$492$	29.4393	−	16.9968i	1.32723	−	0.766274i
$493$	0.464432	+	26.1350i	0.0209169	+	1.17706i
$494$	8.75321	−	15.1610i	0.393826	−	0.682126i
$495$	0.781509	+	5.93615i	0.0351262	+	0.266810i
$496$	67.3937	−	100.862i	3.02607	−	4.52883i
$497$	1.01919	−	6.49211i	0.0457170	−	0.291211i
$498$	−21.0071	+	4.17858i	−0.941352	+	0.187247i
$499$	15.7704	+	7.77710i	0.705980	+	0.348151i	0.759582	−	0.650412i	$-0.225404\pi$
$499$	15.7704	+	7.77710i	0.705980	+	0.348151i	−0.0536019	+	0.998562i	$0.517070\pi$
$500$	−44.1974	−	38.7601i	−1.97657	−	1.73341i
$501$	−2.63264	+	19.9969i	−0.117618	+	0.893396i
$502$	11.1212	+	8.53358i	0.496362	+	0.380872i
$503$	−6.52868	−	1.29864i	−0.291100	−	0.0579033i	0.0473803	−	0.998877i	$-0.484913\pi$
$503$	−6.52868	−	1.29864i	−0.291100	−	0.0579033i	−0.338480	+	0.940974i	$0.609913\pi$
$504$	−27.3677	+	4.74099i	−1.21905	+	0.211181i
$505$	1.86213	+	9.36157i	0.0828638	+	0.416584i
$506$	−11.0274	−	2.95479i	−0.490230	−	0.131357i
$507$	0.324624	−	0.160087i	0.0144171	−	0.00710970i
$508$	−7.77645	+	5.96708i	−0.345024	+	0.264746i
$509$	−20.5818	−	35.6487i	−0.912272	−	1.58010i	−0.810848	−	0.585257i	$-0.800993\pi$
$509$	−20.5818	−	35.6487i	−0.912272	−	1.58010i	−0.101424	−	0.994843i	$-0.532340\pi$
$510$	−12.3311	−	5.81097i	−0.546030	−	0.257314i
$511$	3.63338	+	34.1225i	0.160731	+	1.50949i
$512$	50.2006	−	121.195i	2.21857	−	5.35611i
$513$	−0.112392	+	1.71478i	−0.00496224	+	0.0757092i
$514$	20.8995	+	77.9978i	0.921835	+	3.44034i
$515$	−4.29503	+	12.6527i	−0.189261	+	0.557546i
$516$	−5.62088	+	11.3980i	−0.247445	+	0.501769i
$517$	−0.566460	+	2.84778i	−0.0249129	+	0.125245i
$518$	−6.98120	+	3.80280i	−0.306736	+	0.167085i
$519$	5.62720	+	13.5853i	0.247007	+	0.596327i
$520$	43.1086	−	14.6334i	1.89044	−	0.641717i
$521$	−1.32462	−	20.2098i	−0.0580328	−	0.885409i	−0.923296	−	0.384090i	$-0.874515\pi$
$521$	−1.32462	−	20.2098i	−0.0580328	−	0.885409i	0.865263	−	0.501319i	$-0.167152\pi$
$522$	16.7305	+	5.67924i	0.732274	+	0.248573i
$523$	−8.46431	+	31.5892i	−0.370118	+	1.38130i	0.490230	+	0.871593i	$0.336913\pi$
$523$	−8.46431	+	31.5892i	−0.370118	+	1.38130i	−0.860348	+	0.509707i	$0.829754\pi$
$524$	−26.0672	−	17.4175i	−1.13875	−	0.760888i
$525$	6.55236	+	6.88595i	0.285969	+	0.300528i
$526$		−	25.9590i		−	1.13187i
$527$	−27.1243	+	7.78702i	−1.18155	+	0.339208i
$528$	77.4665	+	44.7253i	3.37130	+	1.94642i
$529$	−13.6005	−	17.7245i	−0.591325	−	0.770629i
$530$	−33.2294	−	2.17797i	−1.44339	−	0.0946048i
$531$	−0.707537	+	0.707537i	−0.0307045	+	0.0307045i
$532$	−17.7718	+	19.2781i	−0.770507	+	0.835810i
$533$	17.9157	−	11.9709i	0.776016	−	0.518518i
$534$	0.680310	+	2.00413i	0.0294399	+	0.0867271i
$535$	9.16693	+	1.20685i	0.396321	+	0.0521766i
$536$	−101.605	−	13.3766i	−4.38868	−	0.577781i
$537$	1.17774	+	3.46950i	0.0508231	+	0.149720i
$538$	−59.4305	+	39.7102i	−2.56223	+	1.71203i
$539$	21.0611	−	28.3650i	0.907168	−	1.22177i
$540$	−4.83760	+	4.83760i	−0.208177	+	0.208177i
$541$	−1.36825	−	0.0896797i	−0.0588256	−	0.00385563i	0.0359619	−	0.999353i	$-0.488550\pi$
$541$	−1.36825	−	0.0896797i	−0.0588256	−	0.00385563i	−0.0947875	+	0.995498i	$0.530217\pi$
$542$	−30.9914	−	40.3888i	−1.33120	−	1.73485i
$543$	−4.99036	−	2.88119i	−0.214157	−	0.123644i
$544$	−104.075	+	53.6437i	−4.46218	+	2.29996i
$545$		−	0.577046i		−	0.0247179i
$546$	−26.1998	+	6.32774i	−1.12125	+	0.270802i
$547$	−30.8939	−	20.6426i	−1.32093	−	0.882615i	−0.322963	−	0.946412i	$-0.604679\pi$
$547$	−30.8939	−	20.6426i	−1.32093	−	0.882615i	−0.997963	+	0.0637971i	$0.979679\pi$
$548$	−15.0672	+	56.2315i	−0.643638	+	2.40209i
$549$	−5.46118	−	1.85382i	−0.233077	−	0.0791191i
$550$	−3.30501	−	50.4247i	−0.140926	−	2.15011i
$551$	10.3163	−	3.50190i	0.439488	−	0.149186i
$552$	−3.26078	−	7.87222i	−0.138788	−	0.335064i
$553$	8.90764	+	0.221122i	0.378791	+	0.00940306i
$554$	−1.63820	+	8.23577i	−0.0696003	+	0.349904i
$555$	−0.565701	+	1.14713i	−0.0240127	+	0.0486929i
$556$	37.4252	−	110.251i	1.58718	−	4.67569i
$557$	−3.72952	−	13.9187i	−0.158025	−	0.589756i	−0.998827	−	0.0484143i	$-0.984583\pi$
$557$	−3.72952	−	13.9187i	−0.158025	−	0.589756i	0.840803	−	0.541342i	$-0.182083\pi$
$558$	−1.24754	+	19.0338i	−0.0528126	+	0.805764i
$559$	−3.08269	+	7.44226i	−0.130384	+	0.314774i
$560$	−55.3160	+	5.89008i	−2.33753	+	0.248901i
$561$	−7.03802	−	19.5831i	−0.297145	−	0.826798i
$562$	2.36006	+	4.08775i	0.0995533	+	0.172431i
$563$	−28.7956	+	22.0957i	−1.21359	+	0.931222i	−0.998965	−	0.0454745i	$-0.985520\pi$
$563$	−28.7956	+	22.0957i	−1.21359	+	0.931222i	−0.214626	+	0.976696i	$0.568853\pi$
$564$	−2.97559	+	1.46740i	−0.125295	+	0.0617885i
$565$	1.54541	+	0.414093i	0.0650161	+	0.0174210i
$566$	−3.67590	−	18.4800i	−0.154510	−	0.776772i
$567$	2.03186	−	1.69456i	0.0853301	−	0.0711650i
$568$	−25.5745	−	5.08708i	−1.07308	−	0.213449i
$569$	0.832978	+	0.639167i	0.0349203	+	0.0267953i	0.626074	−	0.779764i	$-0.284661\pi$
$569$	0.832978	+	0.639167i	0.0349203	+	0.0267953i	−0.591154	+	0.806559i	$0.701327\pi$
$570$	−0.741586	+	5.63291i	−0.0310616	+	0.235936i
$571$	21.4377	+	18.8003i	0.897138	+	0.786769i	0.977706	−	0.209980i	$-0.0673399\pi$
$571$	21.4377	+	18.8003i	0.897138	+	0.786769i	−0.0805675	+	0.996749i	$0.525673\pi$
$572$	95.4210	+	47.0564i	3.98975	+	1.96753i
$573$	16.0700	−	3.19652i	0.671333	−	0.133536i
$574$	−40.5556	+	15.6312i	−1.69276	+	0.652434i
$575$	−1.62004	+	2.42456i	−0.0675603	+	0.101111i
$576$	5.70335	+	43.3213i	0.237640	+	1.80505i
$577$	16.3413	−	28.3040i	0.680297	−	1.17831i	−0.294593	−	0.955623i	$-0.595184\pi$
$577$	16.3413	−	28.3040i	0.680297	−	1.17831i	0.974890	−	0.222686i	$-0.0714825\pi$
$578$	46.1700	+	10.6285i	1.92042	+	0.442089i
$579$	−0.133548	+	0.0771041i	−0.00555008	+	0.00320434i
$580$	40.0707	+	16.5978i	1.66384	+	0.689187i
$581$	20.3170	−	0.825955i	0.842890	−	0.0342664i
$582$	1.54441	+	1.54441i	0.0640177	+	0.0640177i
$583$	−33.5178	−	38.2197i	−1.38816	−	1.58290i
$584$	135.868	−	8.90528i	5.62227	−	0.368503i
$585$	−2.85923	+	3.26033i	−0.118215	+	0.134798i
$586$	38.4088	−	50.0553i	1.58665	−	2.06777i
$587$	10.4453	−	4.32659i	0.431124	−	0.178577i	−0.156559	−	0.987669i	$-0.550040\pi$
$587$	10.4453	−	4.32659i	0.431124	−	0.178577i	0.587683	+	0.809091i	$0.300040\pi$
$588$	40.3633	−	0.638292i	1.66456	−	0.0263227i
$589$	6.53445	+	9.77949i	0.269247	+	0.402957i
$590$	−2.48723	+	2.18124i	−0.102397	+	0.0898002i
$591$	−1.61984	+	0.434034i	−0.0666312	+	0.0178538i
$592$	8.45151	+	17.1380i	0.347355	+	0.704366i
$593$	−2.14840	+	0.282843i	−0.0882243	+	0.0116149i	−0.174509	−	0.984656i	$-0.555834\pi$
$593$	−2.14840	+	0.282843i	−0.0882243	+	0.0116149i	0.0862848	+	0.996271i	$0.472501\pi$
$594$	−14.0656			−0.577120
$595$	10.7093	+	7.26543i	0.439037	+	0.297854i
$596$	−17.7256			−0.726067
$597$	3.66682	−	0.482746i	0.150073	−	0.0197575i
$598$	−3.65710	−	7.41587i	−0.149550	−	0.303257i
$599$	17.1296	−	4.58986i	0.699896	−	0.187537i	0.108712	−	0.994073i	$-0.465327\pi$
$599$	17.1296	−	4.58986i	0.699896	−	0.187537i	0.591184	+	0.806537i	$0.298661\pi$
$600$	28.3563	−	24.8678i	1.15764	−	1.01522i
$601$	−10.6314	−	15.9111i	−0.433665	−	0.649026i	0.548696	−	0.836022i	$-0.315125\pi$
$601$	−10.6314	−	15.9111i	−0.433665	−	0.649026i	−0.982361	+	0.186997i	$0.940125\pi$
$602$	9.35999	−	13.2824i	0.381485	−	0.541350i
$603$	9.01890	−	3.73575i	0.367278	−	0.152131i
$604$	−56.1880	+	73.2257i	−2.28626	+	2.97951i
$605$	−11.3202	+	12.9083i	−0.460233	+	0.524795i
$606$	−22.3752	+	1.46655i	−0.908930	+	0.0595744i
$607$	−11.3956	−	12.9942i	−0.462533	−	0.527418i	0.472808	−	0.881166i	$-0.343240\pi$
$607$	−11.3956	−	12.9942i	−0.462533	−	0.527418i	−0.935341	+	0.353748i	$0.884907\pi$
$608$	34.5069	+	34.5069i	1.39944	+	1.39944i
$609$	−14.8547	−	7.78963i	−0.601942	−	0.315652i
$610$	−17.6161	−	7.29682i	−0.713255	−	0.295440i
$611$	−1.82123	+	1.05149i	−0.0736789	+	0.0425385i
$612$	12.8568	−	20.0019i	0.519704	−	0.808530i
$613$	23.4901	−	40.6860i	0.948755	−	1.64329i	0.200704	−	0.979652i	$-0.435677\pi$
$613$	23.4901	−	40.6860i	0.948755	−	1.64329i	0.748052	−	0.663641i	$-0.230990\pi$
$614$	8.97334	+	68.1593i	0.362135	+	2.75069i
$615$	−3.88502	+	5.81435i	−0.156659	+	0.234457i
$616$	−109.062	−	88.0713i	−4.39424	−	3.54850i
$617$	13.4371	−	2.67281i	0.540959	−	0.107603i	0.0829545	−	0.996553i	$-0.473564\pi$
$617$	13.4371	−	2.67281i	0.540959	−	0.107603i	0.458004	+	0.888950i	$0.348564\pi$
$618$	−28.1527	−	13.8834i	−1.13247	−	0.558471i
$619$	11.2946	+	9.90511i	0.453969	+	0.398120i	0.855564	−	0.517697i	$-0.173211\pi$
$619$	11.2946	+	9.90511i	0.453969	+	0.398120i	−0.401595	+	0.915817i	$0.631544\pi$
$620$	−6.11187	+	46.4243i	−0.245459	+	1.86444i
$621$	0.643930	+	0.494105i	0.0258400	+	0.0198277i
$622$	85.3384	+	16.9749i	3.42176	+	0.680630i
$623$	−0.342959	−	1.97976i	−0.0137404	−	0.0793172i
$624$	12.6392	+	63.5415i	0.505972	+	2.54370i
$625$	−5.67032	−	1.51936i	−0.226813	−	0.0607743i
$626$	13.3061	−	6.56184i	0.531818	−	0.262264i
$627$	−6.88081	+	5.27983i	−0.274793	+	0.210856i
$628$	53.7648	+	93.1233i	2.14545	+	3.71603i
$629$	1.07406	−	4.31363i	0.0428257	−	0.171996i
$630$	7.06972	−	5.15117i	0.281664	−	0.205228i
$631$	11.6039	−	28.0142i	0.461943	−	1.11523i	−0.505655	−	0.862736i	$-0.668749\pi$
$631$	11.6039	−	28.0142i	0.461943	−	1.11523i	0.967599	−	0.252494i	$-0.0812507\pi$
$632$	2.31236	−	35.2798i	0.0919808	−	1.40336i
$633$	−5.99176	−	22.3616i	−0.238151	−	0.888793i
$634$	−14.9434	+	44.0218i	−0.593477	+	1.74833i
$635$	0.891823	−	1.80844i	0.0353909	−	0.0717657i
$636$	11.3320	−	56.9698i	0.449343	−	2.25900i
$637$	25.5034	−	2.07703i	1.01048	−	0.0822950i
$638$	34.1244	+	82.3837i	1.35100	+	3.26160i
$639$	2.35202	−	0.798404i	0.0930446	−	0.0315844i
$640$	5.04167	+	76.9211i	0.199290	+	3.04057i
$641$	−6.85465	−	2.32684i	−0.270742	−	0.0919047i	0.182767	−	0.983156i	$-0.441495\pi$
$641$	−6.85465	−	2.32684i	−0.270742	−	0.0919047i	−0.453509	+	0.891252i	$0.649828\pi$
$642$	−5.62179	+	20.9808i	−0.221874	+	0.828046i
$643$	−17.4646	−	11.6695i	−0.688738	−	0.460200i	0.161311	−	0.986904i	$-0.448428\pi$
$643$	−17.4646	−	11.6695i	−0.688738	−	0.460200i	−0.850049	+	0.526704i	$0.823428\pi$
$644$	2.90740	+	12.0380i	0.114568	+	0.474363i
$645$		−	2.61430i		−	0.102938i
$646$	−1.64137	−	19.6780i	−0.0645786	−	0.774221i
$647$	10.7132	+	6.18528i	0.421180	+	0.243169i	0.695582	−	0.718447i	$-0.255146\pi$
$647$	10.7132	+	6.18528i	0.421180	+	0.243169i	−0.274402	+	0.961615i	$0.588480\pi$
$648$	−6.39082	−	8.32869i	−0.251055	−	0.327182i
$649$	−5.03928	−	0.330292i	−0.197809	−	0.0129651i
$650$	25.8797	−	25.8797i	1.01508	−	1.01508i
$651$	3.97244	−	17.6673i	0.155692	−	0.692438i
$652$	−0.271229	+	0.181230i	−0.0106222	+	0.00709750i
$653$	3.71336	+	10.9392i	0.145315	+	0.428084i	0.995080	−	0.0990782i	$-0.0315894\pi$
$653$	3.71336	+	10.9392i	0.145315	+	0.428084i	−0.849765	+	0.527162i	$0.823256\pi$
$654$	1.34401	+	0.176942i	0.0525549	+	0.00691898i
$655$	6.39402	+	0.841789i	0.249835	+	0.0328914i
$656$	33.5816	+	98.9281i	1.31114	+	3.86249i
$657$	−10.7841	+	7.20574i	−0.420730	+	0.281123i
$658$	4.04949	−	1.26344i	0.157865	−	0.0492542i
$659$	20.8181	−	20.8181i	0.810957	−	0.810957i	−0.173820	−	0.984777i	$-0.555611\pi$
$659$	20.8181	−	20.8181i	0.810957	−	0.810957i	0.984777	+	0.173820i	$0.0556112\pi$
$660$	−34.4547	−	2.25828i	−1.34115	−	0.0879036i
$661$	23.3291	+	30.4031i	0.907397	+	1.18254i	0.982667	+	0.185379i	$0.0593513\pi$
$661$	23.3291	+	30.4031i	0.907397	+	1.18254i	−0.0752705	+	0.997163i	$0.523982\pi$
$662$	−61.1772	−	35.3207i	−2.37772	−	1.37278i
$663$	7.30270	−	13.1842i	0.283613	−	0.512033i
$664$		−	80.6823i		−	3.13108i
$665$	1.52486	−	5.17369i	0.0591315	−	0.200627i
$666$	−2.49833	−	1.66933i	−0.0968085	−	0.0646853i
$667$	1.33179	−	4.97030i	0.0515670	−	0.192451i
$668$	−110.143	−	37.3884i	−4.26155	−	1.44660i
$669$	0.747438	+	11.4037i	0.0288976	+	0.440892i
$670$	30.5620	−	10.3744i	1.18071	−	0.400798i
$671$	−11.1389	−	26.8917i	−0.430013	−	1.03814i
$672$	1.86452	−	75.1100i	0.0719255	−	2.89743i
$673$	−9.22752	+	46.3899i	−0.355695	+	1.78820i	0.225297	+	0.974290i	$0.427665\pi$
$673$	−9.22752	+	46.3899i	−0.355695	+	1.78820i	−0.580992	+	0.813909i	$0.697335\pi$
$674$	30.1770	−	61.1928i	1.16237	−	2.35706i
$675$	−1.15482	+	3.40199i	−0.0444490	+	0.130942i
$676$	0.540243	+	2.01621i	0.0207786	+	0.0775467i
$677$	0.851083	−	12.9850i	0.0327098	−	0.499055i	−0.949802	−	0.312853i	$-0.898715\pi$
$677$	0.851083	−	12.9850i	0.0327098	−	0.499055i	0.982511	−	0.186202i	$-0.0596179\pi$
$678$	−1.43835	+	3.47248i	−0.0552394	+	0.133360i
$679$	−1.22105	−	1.67583i	−0.0468595	−	0.0643123i
$680$	30.5308	−	41.2872i	1.17080	−	1.58329i
$681$	2.55173	+	4.41973i	0.0977825	+	0.169364i
$682$	−76.3761	+	58.6055i	−2.92459	+	2.24412i
$683$	17.0584	−	8.41228i	0.652722	−	0.321887i	−0.0856056	−	0.996329i	$-0.527283\pi$
$683$	17.0584	−	8.41228i	0.652722	−	0.321887i	0.738328	+	0.674442i	$0.235616\pi$
$684$	−9.57250	−	2.56494i	−0.366014	−	0.0980731i
$685$	−2.33631	−	11.7454i	−0.0892656	−	0.448769i
$686$	−51.1101	−	7.19764i	−1.95139	−	0.274807i
$687$	25.3132	+	5.03511i	0.965758	+	0.192101i
$688$	−30.9863	−	23.7766i	−1.18134	−	0.906476i
$689$	4.80573	−	36.5032i	0.183084	−	1.39066i
$690$	2.01754	+	1.76934i	0.0768066	+	0.0673575i
$691$	21.9175	+	10.8085i	0.833781	+	0.411175i	0.808494	−	0.588505i	$-0.200283\pi$
$691$	21.9175	+	10.8085i	0.833781	+	0.411175i	0.0252875	+	0.999680i	$0.491950\pi$
$692$	−83.1707	+	16.5437i	−3.16167	+	0.628896i
$693$	13.1916	+	2.07094i	0.501107	+	0.0786685i
$694$	48.5064	−	72.5950i	1.84128	−	2.75567i
$695$	3.12623	+	23.7461i	0.118585	+	0.900739i
$696$	−33.2772	+	57.6377i	−1.26137	+	2.18475i
$697$	8.90031	−	22.6157i	0.337123	−	0.856630i
$698$	−42.6978	+	24.6516i	−1.61614	+	0.933077i
$699$	12.4034	+	5.13767i	0.469141	+	0.194325i
$700$	−46.3195	+	29.3137i	−1.75071	+	1.10795i
$701$	27.7645	+	27.7645i	1.04865	+	1.04865i	0.998754	+	0.0498973i	$0.0158894\pi$
$701$	27.7645	+	27.7645i	1.04865	+	1.04865i	0.0498973	+	0.998754i	$0.484111\pi$
$702$	−6.71695	−	7.65922i	−0.253515	−	0.289079i
$703$	−1.84879	+	0.121176i	−0.0697284	+	0.00457024i
$704$	−145.405	+	165.803i	−5.48017	+	6.24894i
$705$	0.415477	−	0.541460i	0.0156478	−	0.0203926i
$706$	−52.3845	+	21.6984i	−1.97152	+	0.816629i
$707$	21.2007	+	1.91897i	0.797335	+	0.0721704i
$708$	−3.20588	−	4.79793i	−0.120484	−	0.180317i
$709$	−8.52287	+	7.47436i	−0.320083	+	0.280705i	−0.804276	−	0.594256i	$-0.797447\pi$
$709$	−8.52287	+	7.47436i	−0.320083	+	0.280705i	0.484193	+	0.874961i	$0.339113\pi$
$710$	7.93219	−	2.12542i	0.297690	−	0.0797657i
$711$	1.48954	+	3.02050i	0.0558623	+	0.113277i
$712$	−7.90427	+	1.04062i	−0.296225	+	0.0389988i
$713$	5.55525			0.208046
$714$	−20.2059	+	22.7153i	−0.756186	+	0.850099i
$715$	−21.8863			−0.818499
$716$	−20.9489	+	2.75797i	−0.782897	+	0.103070i
$717$	−11.7175	−	23.7607i	−0.437598	−	0.887361i
$718$	−1.57827	+	0.422897i	−0.0589006	+	0.0157824i
$719$	4.25325	−	3.73000i	0.158619	−	0.139105i	−0.576357	−	0.817198i	$-0.695526\pi$
$719$	4.25325	−	3.73000i	0.158619	−	0.139105i	0.734977	+	0.678092i	$0.237193\pi$
$720$	−11.6812	−	17.4822i	−0.435334	−	0.651523i
$721$	24.3592	+	17.1657i	0.907184	+	0.639284i
$722$	41.3172	−	17.1142i	1.53767	−	0.636923i
$723$	3.96603	−	5.16863i	0.147498	−	0.192224i
$724$	21.9108	−	24.9845i	0.814308	−	0.928541i
$725$	22.7274	−	1.48963i	0.844075	−	0.0553236i
$726$	−26.5937	−	30.3243i	−0.986984	−	1.12544i
$727$	−21.9244	−	21.9244i	−0.813130	−	0.813130i	0.171972	−	0.985102i	$-0.444986\pi$
$727$	−21.9244	−	21.9244i	−0.813130	−	0.813130i	−0.985102	+	0.171972i	$0.944986\pi$
$728$	−4.12413	−	101.446i	−0.152851	−	3.75984i
$729$	0.923880	+	0.382683i	0.0342178	+	0.0141735i
$730$	−37.1361	+	21.4405i	−1.37447	+	0.793549i
$731$	1.93067	+	8.87865i	0.0714086	+	0.328389i
$732$	16.6296	−	28.8033i	0.614648	−	1.06460i
$733$	1.55052	+	11.7774i	0.0572698	+	0.435008i	0.995928	+	0.0901574i	$0.0287370\pi$
$733$	1.55052	+	11.7774i	0.0572698	+	0.435008i	−0.938658	+	0.344850i	$0.887930\pi$
$734$	−11.1627	+	16.7062i	−0.412023	+	0.616636i
$735$	−7.38883	+	3.79017i	−0.272541	+	0.139803i
$736$	22.6062	−	4.49666i	0.833277	−	0.165749i
$737$	44.1880	+	21.7911i	1.62768	+	0.802685i
$738$	−12.3510	−	10.8316i	−0.454647	−	0.398715i
$739$	2.56005	−	19.4455i	0.0941731	−	0.715316i	−0.877599	−	0.479395i	$-0.840856\pi$
$739$	2.56005	−	19.4455i	0.0941731	−	0.715316i	0.971772	−	0.235921i	$-0.0758105\pi$
$740$	−5.85183	−	4.49026i	−0.215117	−	0.165065i
$741$	−6.16094	−	1.22549i	−0.226328	−	0.0450194i
$742$	−25.6105	+	69.7123i	−0.940190	+	2.55922i
$743$	−6.00396	−	30.1839i	−0.220264	−	1.10734i	−0.919693	−	0.392639i	$-0.871562\pi$
$743$	−6.00396	−	30.1839i	−0.220264	−	1.10734i	0.699429	−	0.714702i	$-0.253438\pi$
$744$	−69.4041	−	18.5968i	−2.54448	−	0.681791i
$745$	3.27031	−	1.61274i	0.119815	−	0.0590861i
$746$	−1.64476	+	1.26207i	−0.0602188	+	0.0462075i
$747$	3.84272	+	6.65578i	0.140598	+	0.243522i
$748$	118.682	−	17.7754i	4.33945	−	0.649934i
$749$	8.36153	−	18.8493i	0.305524	−	0.688739i
$750$	−10.8716	+	26.2463i	−0.396974	+	0.958379i
$751$	2.49724	−	38.1005i	0.0911255	−	1.39031i	−0.670317	−	0.742075i	$-0.733842\pi$
$751$	2.49724	−	38.1005i	0.0911255	−	1.39031i	0.761443	−	0.648232i	$-0.224491\pi$
$752$	−2.63902	−	9.84896i	−0.0962352	−	0.359155i
$753$	1.61681	−	4.76297i	0.0589198	−	0.173572i
$754$	−28.5648	+	57.9237i	−1.04027	+	2.10946i
$755$	3.70417	−	18.6221i	0.134808	−	0.677728i
$756$	7.29865	+	13.3989i	0.265449	+	0.487314i
$757$	−16.8662	−	40.7187i	−0.613013	−	1.47995i	−0.859674	−	0.510843i	$-0.829333\pi$
$757$	−16.8662	−	40.7187i	−0.613013	−	1.47995i	0.246660	−	0.969102i	$-0.420667\pi$
$758$	−29.4009	+	9.98025i	−1.06789	+	0.362499i
$759$	0.267920	+	4.08767i	0.00972489	+	0.148373i
$760$	−20.2660	−	6.87937i	−0.735124	−	0.249541i
$761$	−5.70756	+	21.3009i	−0.206899	+	0.772157i	0.781963	+	0.623324i	$0.214218\pi$
$761$	−5.70756	+	21.3009i	−0.206899	+	0.772157i	−0.988862	+	0.148833i	$0.952448\pi$
$762$	3.93860	+	2.63169i	0.142680	+	0.0953360i
$763$	−1.23444	−	0.363831i	−0.0446897	−	0.0131716i
$764$			94.4897i			3.41852i
$765$	−0.552181	+	4.86005i	−0.0199641	+	0.175716i
$766$	35.9689	+	20.7667i	1.29961	+	0.750330i
$767$	−2.22662	−	2.90179i	−0.0803986	−	0.104778i
$768$	−93.5011	−	6.12838i	−3.37393	−	0.221139i
$769$	2.71016	−	2.71016i	0.0977307	−	0.0977307i	−0.656551	−	0.754282i	$-0.727985\pi$
$769$	2.71016	−	2.71016i	0.0977307	−	0.0977307i	0.754282	+	0.656551i	$0.227985\pi$
$770$	43.0725	+	9.68470i	1.55223	+	0.349012i
$771$	24.0913	−	16.0973i	0.867628	−	0.579731i
$772$	−0.285858	−	0.842110i	−0.0102883	−	0.0303082i
$773$	−28.2751	−	3.72248i	−1.01698	−	0.133888i	−0.396440	−	0.918061i	$-0.629754\pi$
$773$	−28.2751	−	3.72248i	−1.01698	−	0.133888i	−0.620543	+	0.784172i	$0.713088\pi$
$774$	6.08902	+	0.801635i	0.218865	+	0.0288142i
$775$	7.90397	+	23.2844i	0.283919	+	0.836399i
$776$	−6.84083	+	4.57089i	−0.245571	+	0.164086i
$777$	2.09730	+	1.93344i	0.0752404	+	0.0693618i
$778$	−6.43413	+	6.43413i	−0.230675	+	0.230675i
$779$	−10.1079	−	0.662506i	−0.362153	−	0.0237367i
$780$	−15.2239	−	19.8402i	−0.545104	−	0.710394i
$781$	10.8565	+	6.26799i	0.388475	+	0.224286i
$782$	−8.15860	−	4.51902i	−0.291751	−	0.161600i
$783$		−	6.33967i		−	0.226561i
$784$	−22.2767	+	122.048i	−0.795598	+	4.35885i
$785$	−18.3921	−	12.2892i	−0.656444	−	0.438622i
$786$	−3.92125	+	14.6343i	−0.139866	+	0.521988i
$787$	−18.9808	−	6.44311i	−0.676592	−	0.229672i	−0.0380696	−	0.999275i	$-0.512121\pi$
$787$	−18.9808	−	6.44311i	−0.676592	−	0.229672i	−0.638523	+	0.769603i	$0.720454\pi$
$788$	−0.632513	−	9.65028i	−0.0225323	−	0.343777i
$789$	−8.82028	+	2.99408i	−0.314010	+	0.106592i
$790$	4.26101	+	10.2870i	0.151600	+	0.365995i
$791$	1.86023	−	3.04492i	0.0661423	−	0.108265i
$792$	10.3367	−	51.9659i	0.367297	−	1.84653i
$793$	9.32415	−	18.9075i	0.331110	−	0.671425i
$794$	3.17448	−	9.35172i	0.112658	−	0.331880i
$795$	3.09261	+	11.5418i	0.109683	+	0.409344i
$796$	−1.39496	+	21.2830i	−0.0494432	+	0.754357i
$797$	−8.23308	+	19.8764i	−0.291631	+	0.704058i	−0.999998	−	0.00178500i	$-0.999432\pi$
$797$	−8.23308	+	19.8764i	−0.291631	+	0.704058i	0.708368	+	0.705843i	$0.249432\pi$
$798$	11.5826	+	5.13801i	0.410018	+	0.181883i
$799$	−1.01116	+	2.14573i	−0.0357724	+	0.0759103i
$800$	51.0114	+	88.3544i	1.80353	+	3.12380i
$801$	0.602490	−	0.462307i	0.0212879	−	0.0163348i
$802$	−34.0452	+	16.7892i	−1.20218	+	0.592849i
$803$	−63.2293	−	16.9422i	−2.23131	−	0.597878i
$804$	10.9829	+	55.2148i	0.387337	+	1.94728i
$805$	−1.63167	−	1.95644i	−0.0575087	−	0.0689555i
$806$	−68.3856	−	13.6027i	−2.40878	−	0.479136i
$807$	20.3473	+	15.6130i	0.716257	+	0.549603i
$808$	11.0251	−	83.7436i	0.387860	−	2.94609i
$809$	34.7737	+	30.4957i	1.22258	+	1.07217i	0.995149	+	0.0983781i	$0.0313655\pi$
$809$	34.7737	+	30.4957i	1.22258	+	1.07217i	0.227429	+	0.973795i	$0.426968\pi$
$810$	2.96522	+	1.46228i	0.104187	+	0.0513794i
$811$	−7.42288	+	1.47650i	−0.260652	+	0.0518470i	−0.323687	−	0.946164i	$-0.604922\pi$
$811$	−7.42288	+	1.47650i	−0.260652	+	0.0518470i	0.0630341	+	0.998011i	$0.479922\pi$
$812$	60.7715	−	75.2557i	2.13266	−	2.64096i
$813$	−10.1487	+	15.1886i	−0.355930	+	0.532686i
$814$	−1.97941	−	15.0351i	−0.0693784	−	0.526982i
$815$	0.0335520	−	0.0581137i	0.00117527	−	0.00203564i
$816$	52.5823	+	50.7461i	1.84075	+	1.77647i
$817$	3.27962	−	1.89349i	0.114739	−	0.0662448i
$818$	−65.5118	−	27.1359i	−2.29057	−	0.948784i
$819$	5.17186	+	8.17224i	0.180720	+	0.285561i
$820$	−28.5156	−	28.5156i	−0.995809	−	0.995809i
$821$	35.4122	+	40.3799i	1.23589	+	1.40927i	0.880157	+	0.474682i	$0.157437\pi$
$821$	35.4122	+	40.3799i	1.23589	+	1.40927i	0.355737	+	0.934586i	$0.384230\pi$
$822$	28.0728	−	1.83999i	0.979151	−	0.0641770i
$823$	9.12634	−	10.4066i	0.318124	−	0.362751i	−0.570572	−	0.821247i	$-0.693279\pi$
$823$	9.12634	−	10.4066i	0.318124	−	0.362751i	0.888696	+	0.458497i	$0.151612\pi$
$824$	71.9817	−	93.8084i	2.50760	−	3.26797i
$825$	−16.7519	+	6.93888i	−0.583227	+	0.241581i
$826$	3.09798	+	6.69605i	0.107793	+	0.232985i
$827$	−13.0241	−	19.4919i	−0.452891	−	0.677799i	0.532823	−	0.846227i	$-0.321131\pi$
$827$	−13.0241	−	19.4919i	−0.452891	−	0.677799i	−0.985714	+	0.168428i	$0.946131\pi$
$828$	−3.51917	+	3.08623i	−0.122300	+	0.107254i
$829$	−25.3457	+	6.79136i	−0.880292	+	0.235874i	−0.670533	−	0.741880i	$-0.733935\pi$
$829$	−25.3457	+	6.79136i	−0.880292	+	0.235874i	−0.209759	+	0.977753i	$0.567268\pi$
$830$	11.2383	+	22.7890i	0.390087	+	0.791017i
$831$	2.98727	−	0.393282i	0.103627	−	0.0136428i
$832$	−159.723			−5.53740
$833$	22.2947	−	18.3288i	0.772467	−	0.635055i
$834$	−56.2659			−1.94833
$835$	23.7227	−	3.12316i	0.820959	−	0.108081i
$836$	−22.1219	−	44.8588i	−0.765102	−	1.55147i
$837$	6.61113	−	1.77145i	0.228514	−	0.0612301i
$838$	22.0654	−	19.3509i	0.762238	−	0.668465i
$839$	9.00668	+	13.4795i	0.310945	+	0.465362i	0.953721	−	0.300692i	$-0.0972175\pi$
$839$	9.00668	+	13.4795i	0.310945	+	0.465362i	−0.642776	+	0.766054i	$0.722217\pi$
$840$	13.8357	+	29.9048i	0.477377	+	1.03182i
$841$	−10.3395	+	4.28276i	−0.356535	+	0.147682i
$842$	−55.4677	+	72.2870i	−1.91154	+	2.49117i
$843$	1.11672	−	1.27337i	0.0384618	−	0.0438572i
$844$	133.220	−	8.73173i	4.58564	−	0.300559i
$845$	−0.283116	−	0.322832i	−0.00973948	−	0.0111058i
$846$	1.13372	+	1.13372i	0.0389782	+	0.0389782i
$847$	20.4764	+	32.3554i	0.703576	+	1.11174i
$848$	164.927	+	68.3149i	5.66360	+	2.34594i
$849$	−5.85510	+	3.38044i	−0.200947	+	0.116017i
$850$	7.33310	−	40.6257i	0.251523	−	1.39345i
$851$	−0.437544	+	0.757848i	−0.0149988	+	0.0259787i
$852$	1.86967	+	14.2015i	0.0640538	+	0.486537i
$853$	−10.8251	+	16.2008i	−0.370643	+	0.554706i	−0.969169	−	0.246397i	$-0.920753\pi$
$853$	−10.8251	+	16.2008i	−0.370643	+	0.554706i	0.598526	+	0.801103i	$0.295753\pi$
$854$	−26.7167	+	33.0843i	−0.914226	+	1.13212i
$855$	1.99946	−	0.397718i	0.0683802	−	0.0136017i
$856$	−73.3828	−	36.1884i	−2.50817	−	1.23689i
$857$	0.0548669	+	0.0481170i	0.00187422	+	0.00164364i	0.660282	−	0.751017i	$-0.270437\pi$
$857$	0.0548669	+	0.0481170i	0.00187422	+	0.00164364i	−0.658408	+	0.752661i	$0.728770\pi$
$858$	6.71107	−	50.9756i	0.229112	−	1.74028i
$859$	−13.7853	−	10.5778i	−0.470348	−	0.360911i	0.346226	−	0.938151i	$-0.387463\pi$
$859$	−13.7853	−	10.5778i	−0.470348	−	0.360911i	−0.816574	+	0.577240i	$0.804130\pi$
$860$	14.7868	+	2.94127i	0.504225	+	0.100297i
$861$	9.98875	+	11.9770i	0.340416	+	0.408174i
$862$	11.2291	+	56.4527i	0.382466	+	1.92279i
$863$	13.9844	+	3.74711i	0.476035	+	0.127553i	0.488856	−	0.872365i	$-0.337414\pi$
$863$	13.9844	+	3.74711i	0.476035	+	0.127553i	−0.0128207	+	0.999918i	$0.504081\pi$
$864$	25.4691	−	12.5600i	0.866476	−	0.427299i
$865$	13.8395	−	10.6194i	0.470558	−	0.361072i
$866$	−29.5129	−	51.1179i	−1.00289	−	1.73706i
$867$	−1.71386	−	16.9134i	−0.0582059	−	0.574409i
$868$	95.4590	+	42.3455i	3.24009	+	1.43730i
$869$	−6.50462	+	15.7035i	−0.220654	+	0.532706i
$870$	1.37085	−	20.9152i	0.0464763	−	0.709091i
$871$	9.23569	+	34.4681i	0.312939	+	1.16791i
$872$	−1.64141	+	4.83545i	−0.0555853	+	0.163749i
$873$	0.346624	−	0.702883i	0.0117314	−	0.0237890i
$874$	−0.758351	+	3.81249i	−0.0256516	+	0.128959i
$875$	14.0604	−	23.0147i	0.475327	−	0.778038i
$876$	−28.6235	−	69.1032i	−0.967098	−	2.33478i
$877$	−1.29848	+	0.440774i	−0.0438465	+	0.0148839i	−0.343277	−	0.939234i	$-0.611537\pi$
$877$	−1.29848	+	0.440774i	−0.0438465	+	0.0148839i	0.299430	+	0.954118i	$0.403203\pi$
$878$	1.46664	+	22.3767i	0.0494968	+	0.755176i
$879$	−21.4377	−	7.27710i	−0.723074	−	0.245451i
$880$	27.4651	−	102.501i	0.925848	−	3.45531i
$881$	6.43326	+	4.29857i	0.216742	+	0.144822i	0.659202	−	0.751966i	$-0.270894\pi$
$881$	6.43326	+	4.29857i	0.216742	+	0.144822i	−0.442460	+	0.896788i	$0.645894\pi$
$882$	−6.56209	−	18.3717i	−0.220957	−	0.618606i
$883$		−	22.5732i		−	0.759649i	−0.925059	−	0.379824i	$-0.875984\pi$
$883$		−	22.5732i		−	0.759649i	0.925059	−	0.379824i	$-0.124016\pi$
$884$	66.3553	+	56.1380i	2.23177	+	1.88812i
$885$	1.02801	+	0.593521i	0.0345561	+	0.0199510i
$886$	−22.4568	−	29.2662i	−0.754450	−	0.983218i
$887$	−19.9660	−	1.30864i	−0.670393	−	0.0439399i	−0.273594	−	0.961845i	$-0.588212\pi$
$887$	−19.9660	−	1.30864i	−0.670393	−	0.0439399i	−0.396799	+	0.917905i	$0.629879\pi$
$888$	8.00340	−	8.00340i	0.268577	−	0.268577i
$889$	−3.30638	−	3.04805i	−0.110892	−	0.102228i
$890$	2.08764	−	1.39492i	0.0699778	−	0.0467577i
$891$	1.62231	+	4.77917i	0.0543495	+	0.160108i
$892$	−65.3414	−	8.60236i	−2.18779	−	0.288028i
$893$	0.980178	+	0.129043i	0.0328004	+	0.00431826i
$894$	2.75347	+	8.11145i	0.0920897	+	0.271288i
$895$	3.61407	−	2.41485i	0.120805	−	0.0807194i
$896$	167.731	+	37.7138i	5.60351	+	1.25993i
$897$	−2.09793	+	2.09793i	−0.0700480	+	0.0700480i
$898$	88.3688	+	5.79199i	2.94890	+	0.193281i
$899$	−26.4147	−	34.4243i	−0.880979	−	1.14811i
$900$	−17.9427	−	10.3592i	−0.598091	−	0.345308i
$901$	−19.0267	−	36.9140i	−0.633871	−	1.22978i
$902$		−	82.9110i		−	2.76064i
$903$	−5.59262	−	1.64833i	−0.186111	−	0.0548531i
$904$	−11.7722	−	7.86590i	−0.391536	−	0.261616i
$905$	−1.76929	+	6.60308i	−0.0588132	+	0.219494i
$906$	42.2372	+	14.3376i	1.40324	+	0.476335i
$907$	−0.652917	−	9.96159i	−0.0216798	−	0.330769i	−0.994898	−	0.100886i	$-0.967832\pi$
$907$	−0.652917	−	9.96159i	−0.0216798	−	0.330769i	0.973218	−	0.229883i	$-0.0738344\pi$
$908$	−27.8693	+	9.46035i	−0.924875	+	0.313953i
$909$	3.07902	+	7.43342i	0.102125	+	0.246551i
$910$	15.2954	+	28.0793i	0.507036	+	0.930821i
$911$	−8.54231	+	42.9451i	−0.283020	+	1.42284i	0.533638	+	0.845713i	$0.320824\pi$
$911$	−8.54231	+	42.9451i	−0.283020	+	1.42284i	−0.816658	+	0.577122i	$0.804176\pi$
$912$	13.4708	−	27.3160i	0.446062	−	0.904524i
$913$	−12.4682	+	36.7300i	−0.412636	+	1.21559i
$914$	3.56055	+	13.2881i	0.117772	+	0.439533i
$915$	−0.447475	+	6.82714i	−0.0147931	+	0.225698i
$916$	−56.9582	+	137.509i	−1.88195	+	4.54343i
$917$	5.83225	−	13.1476i	0.192598	−	0.434172i
$918$	−11.1503	−	2.77635i	−0.368015	−	0.0916332i
$919$	10.2341	+	17.7260i	0.337592	+	0.584727i	0.983979	−	0.178283i	$-0.0570542\pi$
$919$	10.2341	+	17.7260i	0.337592	+	0.584727i	−0.646387	+	0.763010i	$0.723721\pi$
$920$	−8.01955	+	6.15361i	−0.264397	+	0.202879i
$921$	22.1240	−	10.9103i	0.729010	−	0.359508i
$922$	61.8521	+	16.5732i	2.03699	+	0.545810i
$923$	1.77131	+	8.90497i	0.0583033	+	0.293111i
$924$	−26.5549	+	72.2830i	−0.873592	+	2.37794i
$925$	−3.79899	−	0.755666i	−0.124910	−	0.0248462i
$926$	−34.0075	−	26.0949i	−1.11756	−	0.857530i
$927$	−1.47015	+	11.1669i	−0.0482862	+	0.366770i
$928$	−135.355	−	118.703i	−4.44325	−	3.89662i
$929$	−41.6072	−	20.5184i	−1.36509	−	0.673187i	−0.395622	−	0.918413i	$-0.629471\pi$
$929$	−41.6072	−	20.5184i	−1.36509	−	0.673187i	−0.969466	+	0.245227i	$0.921138\pi$
$930$	22.1938	−	4.41462i	0.727763	−	0.144761i
$931$	−10.1063	−	6.52408i	−0.331221	−	0.213818i
$932$	−43.0139	+	64.3749i	−1.40897	+	2.10867i
$933$	−4.07515	−	30.9539i	−0.133414	−	1.01338i
$934$	21.2539	−	36.8128i	0.695448	−	1.20455i
$935$	−20.2792	+	14.0777i	−0.663201	+	0.460389i
$936$	33.2334	−	19.1873i	1.08627	−	0.627158i
$937$	31.6025	+	13.0902i	1.03241	+	0.427638i	0.833581	−	0.552397i	$-0.186287\pi$
$937$	31.6025	+	13.0902i	1.03241	+	0.427638i	0.198828	+	0.980034i	$0.436287\pi$
$938$	−2.92382	−	71.9205i	−0.0954660	−	2.34829i
$939$	−3.76427	−	3.76427i	−0.122842	−	0.122842i
$940$	2.59511	+	2.95916i	0.0846433	+	0.0965171i
$941$	34.7556	−	2.27801i	1.13300	−	0.0742609i	0.512659	−	0.858592i	$-0.328660\pi$
$941$	34.7556	−	2.27801i	1.13300	−	0.0742609i	0.620342	+	0.784331i	$0.286994\pi$
$942$	34.2627	−	39.0692i	1.11634	−	1.27294i
$943$	−2.91254	+	3.79570i	−0.0948454	+	0.123605i
$944$	16.3843	−	6.78660i	0.533264	−	0.220885i
$945$	−2.56566	−	1.80800i	−0.0834609	−	0.0588142i
$946$	17.2208	+	25.7727i	0.559896	+	0.837944i
$947$	−33.7004	+	29.5545i	−1.09512	+	0.960391i	−0.999387	−	0.0350164i	$-0.988852\pi$
$947$	−33.7004	+	29.5545i	−1.09512	+	0.960391i	−0.0957293	+	0.995407i	$0.530518\pi$
$948$	−18.7601	+	5.02675i	−0.609299	+	0.163261i
$949$	−20.9691	−	42.5212i	−0.680686	−	1.38030i
$950$	−17.0587	+	2.24582i	−0.553457	+	0.0728640i
$951$	16.6811			0.540922
$952$	−69.0734	−	91.3445i	−2.23868	−	2.96049i
$953$	−29.8539			−0.967063			−0.483531	−	0.875327i	$-0.660646\pi$
$953$	−29.8539			−0.967063			−0.483531	+	0.875327i	$0.660646\pi$
$954$	−27.8304	+	3.66394i	−0.901043	+	0.118625i
$955$	−8.59703	−	17.4331i	−0.278193	−	0.564120i
$956$	147.576	−	39.5429i	4.77296	−	1.27891i
$957$	24.0562	−	21.0967i	0.777626	−	0.681960i
$958$	45.0554	+	67.4301i	1.45567	+	2.17857i
$959$	−26.5993	−	2.40762i	−0.858935	−	0.0777461i
$960$	47.8905	−	19.8369i	1.54566	−	0.640233i
$961$	9.64584	−	12.5707i	0.311156	−	0.405506i
$962$	7.24190	−	8.25780i	0.233488	−	0.266242i
$963$	7.77719	−	0.509744i	0.250617	−	0.0164263i
$964$	24.7723	+	28.2474i	0.797861	+	0.909786i
$965$	0.129358	+	0.129358i	0.00416419	+	0.00416419i
$966$	5.05711	−	3.20043i	0.162710	−	0.102972i
$967$	−3.78458	−	1.56763i	−0.121704	−	0.0504115i	0.321000	−	0.947079i	$-0.395981\pi$
$967$	−3.78458	−	1.56763i	−0.121704	−	0.0504115i	−0.442704	+	0.896668i	$0.645981\pi$
$968$	131.577	−	75.9662i	4.22906	−	2.44165i
$969$	−6.49682	+	2.82733i	−0.208708	+	0.0908271i
$970$	1.29553	−	2.24393i	0.0415970	−	0.0720482i
$971$	−3.41724	−	25.9565i	−0.109665	−	0.832985i	−0.954553	−	0.298042i	$-0.903666\pi$
$971$	−3.41724	−	25.9565i	−0.109665	−	0.832985i	0.844888	−	0.534943i	$-0.179667\pi$
$972$	−3.20393	+	4.79501i	−0.102766	+	0.153800i
$973$	52.7696	+	8.28426i	1.69171	+	0.265581i
$974$	−78.3369	+	15.5822i	−2.51007	+	0.499285i
$975$	−11.7782	−	5.80838i	−0.377206	−	0.186017i
$976$	76.8497	+	67.3954i	2.45990	+	2.15727i
$977$	0.403587	−	3.06555i	0.0129119	−	0.0980756i	−0.983775	−	0.179404i	$-0.942583\pi$
$977$	0.403587	−	3.06555i	0.0129119	−	0.0980756i	0.996687	+	0.0813286i	$0.0259163\pi$
$978$	0.125065	+	0.0959661i	0.00399915	+	0.00306866i
$979$	3.75917	+	0.747746i	0.120144	+	0.0238981i
$980$	−13.1247	−	46.0562i	−0.419252	−	1.47121i
$981$	−0.0948953	−	0.477071i	−0.00302977	−	0.0152317i
$982$	96.7911	+	25.9351i	3.08873	+	0.827622i
$983$	1.02105	−	0.503525i	0.0325664	−	0.0160599i	−0.425933	−	0.904755i	$-0.640054\pi$
$983$	1.02105	−	0.503525i	0.0325664	−	0.0160599i	0.458499	+	0.888695i	$0.348387\pi$
$984$	49.0941	−	37.6713i	1.56506	−	1.20092i
$985$	0.994716	+	1.72290i	0.0316943	+	0.0548961i
$986$	10.7903	+	72.0440i	0.343632	+	2.29435i
$987$	−0.896352	−	1.23020i	−0.0285312	−	0.0391576i
$988$	13.8630	−	33.4682i	0.441040	−	1.06476i
$989$	0.116984	−	1.78483i	0.00371986	−	0.0567541i
$990$	4.31874	+	16.1178i	0.137259	+	0.512256i
$991$	−19.0843	+	56.2206i	−0.606234	+	1.78591i	0.0120198	+	0.999928i	$0.496174\pi$
$991$	−19.0843	+	56.2206i	−0.606234	+	1.78591i	−0.618253	+	0.785979i	$0.712159\pi$
$992$	85.9647	−	174.319i	2.72938	−	5.53464i
$993$	−4.94505	+	24.8604i	−0.156926	+	0.788922i
$994$	0.454498	−	18.3089i	0.0144158	−	0.580724i
$995$	−1.67904	−	4.05357i	−0.0532293	−	0.128507i
$996$	−41.9691	+	14.2466i	−1.32984	+	0.451421i
$997$	−3.20132	−	48.8427i	−0.101387	−	1.54686i	−0.681189	−	0.732107i	$-0.738537\pi$
$997$	−3.20132	−	48.8427i	−0.101387	−	1.54686i	0.579803	−	0.814757i	$-0.303130\pi$
$998$	46.4039	+	15.7520i	1.46889	+	0.498620i
$999$	−0.279046	+	1.04141i	−0.00882863	+	0.0329489i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	357.2.bl.a.10.24	✓	384
7.5	odd	6	inner	357.2.bl.a.61.1	yes	384
17.12	odd	16	inner	357.2.bl.a.199.1	yes	384
119.12	even	48	inner	357.2.bl.a.250.24	yes	384

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
357.2.bl.a.10.24	✓	384	1.1	even	1	trivial
357.2.bl.a.61.1	yes	384	7.5	odd	6	inner
357.2.bl.a.199.1	yes	384	17.12	odd	16	inner
357.2.bl.a.250.24	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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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.10.24

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