LMFDB - Embedded newform 308.2.l.a.243.26

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [308,2,Mod(199,308)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(308, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 1, 0]))

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

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

chi := DirichletCharacter("308.199");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 308 = 2^{2} \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	308.l (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.45939238226$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$40$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			243.26
Character	$\chi$	$=$	308.243
Dual form			308.2.l.a.199.26

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.483075 + 1.32915i) q^{2} +(-1.52156 - 2.63542i) q^{3} +(-1.53328 + 1.28416i) q^{4} +(1.96774 + 1.13608i) q^{5} +(2.76784 - 3.29549i) q^{6} +(0.649430 - 2.56481i) q^{7} +(-2.44753 - 1.41761i) q^{8} +(-3.13029 + 5.42182i) q^{9} +(-0.559449 + 3.16423i) q^{10} +(0.866025 - 0.500000i) q^{11} +(5.71727 + 2.08691i) q^{12} -6.76284i q^{13} +(3.72274 - 0.375804i) q^{14} -6.91443i q^{15} +(0.701879 - 3.93794i) q^{16} +(4.85260 - 2.80165i) q^{17} +(-8.71857 - 1.54148i) q^{18} +(-0.329256 + 0.570289i) q^{19} +(-4.47600 + 0.784970i) q^{20} +(-7.74749 + 2.19099i) q^{21} +(1.08293 + 0.909540i) q^{22} +(0.358888 + 0.207204i) q^{23} +(-0.0119429 + 8.60723i) q^{24} +(0.0813398 + 0.140885i) q^{25} +(8.98883 - 3.26696i) q^{26} +9.92232 q^{27} +(2.29786 + 4.76653i) q^{28} -1.05912 q^{29} +(9.19032 - 3.34019i) q^{30} +(1.15817 + 2.00600i) q^{31} +(5.57317 - 0.969417i) q^{32} +(-2.63542 - 1.52156i) q^{33} +(6.06799 + 5.09643i) q^{34} +(4.19173 - 4.30908i) q^{35} +(-2.16287 - 12.3329i) q^{36} +(0.921243 - 1.59564i) q^{37} +(-0.917055 - 0.162139i) q^{38} +(-17.8229 + 10.2901i) q^{39} +(-3.20558 - 5.57007i) q^{40} +11.7925i q^{41} +(-6.65477 - 9.23916i) q^{42} +1.73869i q^{43} +(-0.685778 + 1.87875i) q^{44} +(-12.3192 + 7.11249i) q^{45} +(-0.102035 + 0.577111i) q^{46} +(-2.55421 + 4.42403i) q^{47} +(-11.4461 + 4.14206i) q^{48} +(-6.15648 - 3.33133i) q^{49} +(-0.147964 + 0.176171i) q^{50} +(-14.7671 - 8.52576i) q^{51} +(8.68455 + 10.3693i) q^{52} +(2.01134 + 3.48374i) q^{53} +(4.79323 + 13.1883i) q^{54} +2.27215 q^{55} +(-5.22540 + 5.35679i) q^{56} +2.00393 q^{57} +(-0.511633 - 1.40773i) q^{58} +(-3.75604 - 6.50564i) q^{59} +(8.87922 + 10.6017i) q^{60} +(0.731974 + 0.422606i) q^{61} +(-2.10680 + 2.50843i) q^{62} +(11.8730 + 11.5497i) q^{63} +(3.98076 + 6.93928i) q^{64} +(7.68311 - 13.3075i) q^{65} +(0.749276 - 4.23789i) q^{66} +(-3.56205 + 2.05655i) q^{67} +(-3.84263 + 10.5272i) q^{68} -1.26109i q^{69} +(7.75233 + 3.48983i) q^{70} +1.22145i q^{71} +(15.3475 - 8.83251i) q^{72} +(-5.61445 + 3.24151i) q^{73} +(2.56587 + 0.453656i) q^{74} +(0.247527 - 0.428729i) q^{75} +(-0.227499 - 1.29723i) q^{76} +(-0.719981 - 2.54590i) q^{77} +(-22.2868 - 18.7185i) q^{78} +(5.38854 + 3.11108i) q^{79} +(5.85492 - 6.95146i) q^{80} +(-5.70654 - 9.88403i) q^{81} +(-15.6741 + 5.69668i) q^{82} +14.8835 q^{83} +(9.06548 - 13.3084i) q^{84} +12.7316 q^{85} +(-2.31098 + 0.839918i) q^{86} +(1.61151 + 2.79122i) q^{87} +(-2.82842 - 0.00392455i) q^{88} +(8.78417 + 5.07155i) q^{89} +(-15.4047 - 12.9382i) q^{90} +(-17.3454 - 4.39199i) q^{91} +(-0.816358 + 0.143167i) q^{92} +(3.52444 - 6.10451i) q^{93} +(-7.11407 - 1.25780i) q^{94} +(-1.29578 + 0.748121i) q^{95} +(-11.0347 - 13.2126i) q^{96} -5.37592i q^{97} +(1.45379 - 9.79216i) q^{98} +6.26058i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 12 q^{8} - 40 q^{9} - 18 q^{10} - 30 q^{12} - 4 q^{14} - 4 q^{16} - 10 q^{18} - 8 q^{21} + 40 q^{25} + 30 q^{26} + 16 q^{28} - 16 q^{29} + 36 q^{30} - 20 q^{32} - 20 q^{36} - 8 q^{37} - 12 q^{38}+ \cdots + 78 q^{98}+O(q^{100}) $ 80 * q + 12 * q^8 - 40 * q^9 - 18 * q^10 - 30 * q^12 - 4 * q^14 - 4 * q^16 - 10 * q^18 - 8 * q^21 + 40 * q^25 + 30 * q^26 + 16 * q^28 - 16 * q^29 + 36 * q^30 - 20 * q^32 - 20 * q^36 - 8 * q^37 - 12 * q^38 - 60 * q^40 + 4 * q^44 + 24 * q^45 - 10 * q^46 - 24 * q^49 - 64 * q^50 + 54 * q^52 - 30 * q^54 + 38 * q^56 + 80 * q^57 + 10 * q^58 - 12 * q^60 - 36 * q^64 - 16 * q^65 + 30 * q^66 + 60 * q^68 - 22 * q^70 - 38 * q^72 - 72 * q^73 + 28 * q^74 - 24 * q^78 + 42 * q^80 - 64 * q^81 - 90 * q^82 + 88 * q^84 - 2 * q^86 + 12 * q^88 - 120 * q^89 + 36 * q^92 + 8 * q^93 - 54 * q^94 - 42 * q^96 + 78 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/308\mathbb{Z}\right)^\times$.

$n$	$45$	$57$	$155$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$1$	$-1$

Coefficient data

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

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

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

$2$	0.483075	+	1.32915i	0.341585	+	0.939851i
$2$	0.483075	+	1.32915i	0.341585	+	0.939851i
$3$	−1.52156	−	2.63542i	−0.878473	−	1.52156i	−0.853017	−	0.521884i	$-0.825229\pi$
$3$	−1.52156	−	2.63542i	−0.878473	−	1.52156i	−0.0254564	−	0.999676i	$-0.508104\pi$
$4$	−1.53328	+	1.28416i	−0.766639	+	0.642079i
$5$	1.96774	+	1.13608i	0.880001	+	0.508069i	0.870659	−	0.491887i	$-0.163693\pi$
$5$	1.96774	+	1.13608i	0.880001	+	0.508069i	0.00934233	+	0.999956i	$0.497026\pi$
$6$	2.76784	−	3.29549i	1.12997	−	1.34538i
$7$	0.649430	−	2.56481i	0.245462	−	0.969406i
$7$	0.649430	−	2.56481i	0.245462	−	0.969406i
$8$	−2.44753	−	1.41761i	−0.865331	−	0.501201i
$9$	−3.13029	+	5.42182i	−1.04343	+	1.80727i
$10$	−0.559449	+	3.16423i	−0.176913	+	1.00062i
$11$	0.866025	−	0.500000i	0.261116	−	0.150756i
$11$	0.866025	−	0.500000i	0.261116	−	0.150756i
$12$	5.71727	+	2.08691i	1.65043	+	0.602438i
$13$		−	6.76284i		−	1.87567i	−0.347075	−	0.937837i	$-0.612825\pi$
$13$		−	6.76284i		−	1.87567i	0.347075	−	0.937837i	$-0.387175\pi$
$14$	3.72274	−	0.375804i	0.994943	−	0.100438i
$15$		−	6.91443i		−	1.78530i
$16$	0.701879	−	3.93794i	0.175470	−	0.984485i
$17$	4.85260	−	2.80165i	1.17693	−	0.679500i	0.221627	−	0.975132i	$-0.428863\pi$
$17$	4.85260	−	2.80165i	1.17693	−	0.679500i	0.955302	+	0.295631i	$0.0955299\pi$
$18$	−8.71857	−	1.54148i	−2.05499	−	0.363330i
$19$	−0.329256	+	0.570289i	−0.0755366	+	0.130833i	−0.901320	−	0.433155i	$-0.857400\pi$
$19$	−0.329256	+	0.570289i	−0.0755366	+	0.130833i	0.825783	+	0.563988i	$0.190734\pi$
$20$	−4.47600	+	0.784970i	−1.00086	+	0.175525i
$21$	−7.74749	+	2.19099i	−1.69064	+	0.478113i
$22$	1.08293	+	0.909540i	0.230881	+	0.193915i
$23$	0.358888	+	0.207204i	0.0748333	+	0.0432050i	0.536950	−	0.843614i	$-0.319576\pi$
$23$	0.358888	+	0.207204i	0.0748333	+	0.0432050i	−0.462116	+	0.886819i	$0.652910\pi$
$24$	−0.0119429	+	8.60723i	−0.00243783	+	1.75694i
$25$	0.0813398	+	0.140885i	0.0162680	+	0.0281769i
$26$	8.98883	−	3.26696i	1.76285	−	0.640703i
$27$	9.92232			1.90955
$28$	2.29786	+	4.76653i	0.434255	+	0.900790i
$29$	−1.05912			−0.196673			−0.0983365	−	0.995153i	$-0.531352\pi$
$29$	−1.05912			−0.196673			−0.0983365	+	0.995153i	$0.531352\pi$
$30$	9.19032	−	3.34019i	1.67791	−	0.609832i
$31$	1.15817	+	2.00600i	0.208013	+	0.360289i	0.951089	−	0.308918i	$-0.0999670\pi$
$31$	1.15817	+	2.00600i	0.208013	+	0.360289i	−0.743076	+	0.669208i	$0.766634\pi$
$32$	5.57317	−	0.969417i	0.985207	−	0.171370i
$33$	−2.63542	−	1.52156i	−0.458768	−	0.264870i
$34$	6.06799	+	5.09643i	1.04065	+	0.874030i
$35$	4.19173	−	4.30908i	0.708532	−	0.728367i
$36$	−2.16287	−	12.3329i	−0.360478	−	2.05549i
$37$	0.921243	−	1.59564i	0.151451	−	0.262321i	−0.780310	−	0.625393i	$-0.784939\pi$
$37$	0.921243	−	1.59564i	0.151451	−	0.262321i	0.931761	+	0.363072i	$0.118272\pi$
$38$	−0.917055	−	0.162139i	−0.148766	−	0.0263024i
$39$	−17.8229	+	10.2901i	−2.85395	+	1.64773i
$40$	−3.20558	−	5.57007i	−0.506847	−	0.880705i
$41$			11.7925i			1.84169i	0.389934	+	0.920843i	$0.372498\pi$
$41$			11.7925i			1.84169i	−0.389934	+	0.920843i	$0.627502\pi$
$42$	−6.65477	−	9.23916i	−1.02685	−	1.42563i
$43$			1.73869i			0.265148i	0.991173	+	0.132574i	$0.0423242\pi$
$43$			1.73869i			0.265148i	−0.991173	+	0.132574i	$0.957676\pi$
$44$	−0.685778	+	1.87875i	−0.103385	+	0.283232i
$45$	−12.3192	+	7.11249i	−1.83644	+	1.06027i
$46$	−0.102035	+	0.577111i	−0.0150443	+	0.0850904i
$47$	−2.55421	+	4.42403i	−0.372570	+	0.645311i	−0.989960	−	0.141347i	$-0.954857\pi$
$47$	−2.55421	+	4.42403i	−0.372570	+	0.645311i	0.617390	+	0.786657i	$0.288190\pi$
$48$	−11.4461	+	4.14206i	−1.65210	+	0.597855i
$49$	−6.15648	−	3.33133i	−0.879497	−	0.475904i
$50$	−0.147964	+	0.176171i	−0.0209252	+	0.0249143i
$51$	−14.7671	−	8.52576i	−2.06780	−	1.19385i
$52$	8.68455	+	10.3693i	1.20433	+	1.43797i
$53$	2.01134	+	3.48374i	0.276279	+	0.478528i	0.970457	−	0.241275i	$-0.0775654\pi$
$53$	2.01134	+	3.48374i	0.276279	+	0.478528i	−0.694178	+	0.719803i	$0.744232\pi$
$54$	4.79323	+	13.1883i	0.652275	+	1.79469i
$55$	2.27215			0.306377
$56$	−5.22540	+	5.35679i	−0.698273	+	0.715832i
$57$	2.00393			0.265428
$58$	−0.511633	−	1.40773i	−0.0671807	−	0.184843i
$59$	−3.75604	−	6.50564i	−0.488994	−	0.846963i	0.510926	−	0.859625i	$-0.329303\pi$
$59$	−3.75604	−	6.50564i	−0.488994	−	0.846963i	−0.999920	+	0.0126622i	$0.995969\pi$
$60$	8.87922	+	10.6017i	1.14630	+	1.36868i
$61$	0.731974	+	0.422606i	0.0937197	+	0.0541091i	0.546127	−	0.837702i	$-0.316101\pi$
$61$	0.731974	+	0.422606i	0.0937197	+	0.0541091i	−0.452408	+	0.891811i	$0.649435\pi$
$62$	−2.10680	+	2.50843i	−0.267564	+	0.318571i
$63$	11.8730	+	11.5497i	1.49586	+	1.45512i
$64$	3.98076	+	6.93928i	0.497595	+	0.867410i
$65$	7.68311	−	13.3075i	0.952972	−	1.65060i
$66$	0.749276	−	4.23789i	0.0922295	−	0.521649i
$67$	−3.56205	+	2.05655i	−0.435173	+	0.251247i	−0.701548	−	0.712622i	$-0.747507\pi$
$67$	−3.56205	+	2.05655i	−0.435173	+	0.251247i	0.266375	+	0.963870i	$0.414174\pi$
$68$	−3.84263	+	10.5272i	−0.465987	+	1.27661i
$69$		−	1.26109i		−	0.151818i
$70$	7.75233	+	3.48983i	0.926581	+	0.417114i
$71$			1.22145i			0.144959i	0.997370	+	0.0724794i	$0.0230912\pi$
$71$			1.22145i			0.144959i	−0.997370	+	0.0724794i	$0.976909\pi$
$72$	15.3475	−	8.83251i	1.80872	−	1.04092i
$73$	−5.61445	+	3.24151i	−0.657122	+	0.379390i	−0.791180	−	0.611584i	$-0.790533\pi$
$73$	−5.61445	+	3.24151i	−0.657122	+	0.379390i	0.134057	+	0.990974i	$0.457199\pi$
$74$	2.56587	+	0.453656i	0.298277	+	0.0527365i
$75$	0.247527	−	0.428729i	0.0285819	−	0.0495054i
$76$	−0.227499	−	1.29723i	−0.0260960	−	0.148802i
$77$	−0.719981	−	2.54590i	−0.0820494	−	0.290133i
$78$	−22.2868	−	18.7185i	−2.52349	−	2.11945i
$79$	5.38854	+	3.11108i	0.606259	+	0.350024i	0.771500	−	0.636230i	$-0.219507\pi$
$79$	5.38854	+	3.11108i	0.606259	+	0.350024i	−0.165241	+	0.986253i	$0.552840\pi$
$80$	5.85492	−	6.95146i	0.654600	−	0.777197i
$81$	−5.70654	−	9.88403i	−0.634061	−	1.09823i
$82$	−15.6741	+	5.69668i	−1.73091	+	0.629093i
$83$	14.8835			1.63368			0.816840	−	0.576864i	$-0.195724\pi$
$83$	14.8835			1.63368			0.816840	+	0.576864i	$0.195724\pi$
$84$	9.06548	−	13.3084i	0.989125	−	1.45206i
$85$	12.7316			1.38093
$86$	−2.31098	+	0.839918i	−0.249199	+	0.0905707i
$87$	1.61151	+	2.79122i	0.172772	+	0.299250i
$88$	−2.82842	−	0.00392455i	−0.301511	−	0.000418359i
$89$	8.78417	+	5.07155i	0.931121	+	0.537583i	0.887166	−	0.461451i	$-0.152671\pi$
$89$	8.78417	+	5.07155i	0.931121	+	0.537583i	0.0439548	+	0.999034i	$0.486004\pi$
$90$	−15.4047	−	12.9382i	−1.62379	−	1.36381i
$91$	−17.3454	−	4.39199i	−1.81829	−	0.460406i
$92$	−0.816358	+	0.143167i	−0.0851112	+	0.0149262i
$93$	3.52444	−	6.10451i	0.365468	−	0.633008i
$94$	−7.11407	−	1.25780i	−0.733760	−	0.129732i
$95$	−1.29578	+	0.748121i	−0.132945	+	0.0767556i
$96$	−11.0347	−	13.2126i	−1.12623	−	1.34851i
$97$		−	5.37592i		−	0.545842i	−0.962036	−	0.272921i	$-0.912010\pi$
$97$		−	5.37592i		−	0.545842i	0.962036	−	0.272921i	$-0.0879898\pi$
$98$	1.45379	−	9.79216i	0.146855	−	0.989158i
$99$			6.26058i			0.629212i
$100$	−0.305635	−	0.111562i	−0.0305635	−	0.0111562i
$101$	9.69467	−	5.59722i	0.964656	−	0.556944i	0.0670529	−	0.997749i	$-0.478640\pi$
$101$	9.69467	−	5.59722i	0.964656	−	0.556944i	0.897603	+	0.440805i	$0.145307\pi$
$102$	4.19842	−	23.7462i	0.415706	−	2.35122i
$103$	−4.65145	+	8.05656i	−0.458321	+	0.793836i	−0.998872	−	0.0474752i	$-0.984882\pi$
$103$	−4.65145	+	8.05656i	−0.458321	+	0.793836i	0.540551	+	0.841311i	$0.318216\pi$
$104$	−9.58708	+	16.5522i	−0.940090	+	1.62308i
$105$	−17.7342	−	4.49044i	−1.73068	−	0.438222i
$106$	−3.65878	+	4.35628i	−0.355373	+	0.423119i
$107$	−8.56192	−	4.94323i	−0.827712	−	0.477880i	0.0253568	−	0.999678i	$-0.491928\pi$
$107$	−8.56192	−	4.94323i	−0.827712	−	0.477880i	−0.853069	+	0.521799i	$0.825261\pi$
$108$	−15.2137	+	12.7418i	−1.46394	+	1.22608i
$109$	6.87512	+	11.9081i	0.658517	+	1.14058i	0.981000	+	0.194009i	$0.0621491\pi$
$109$	6.87512	+	11.9081i	0.658517	+	1.14058i	−0.322483	+	0.946575i	$0.604518\pi$
$110$	1.09762	+	3.02003i	0.104654	+	0.287949i
$111$	−5.60690			−0.532184
$112$	−9.64424	−	4.35760i	−0.911295	−	0.411755i
$113$	−9.46873			−0.890743			−0.445372	−	0.895346i	$-0.646928\pi$
$113$	−9.46873			−0.890743			−0.445372	+	0.895346i	$0.646928\pi$
$114$	0.968050	+	2.66353i	0.0906662	+	0.249462i
$115$	0.470799	+	0.815449i	0.0439023	+	0.0760410i
$116$	1.62392	−	1.36007i	0.150777	−	0.126280i
$117$	36.6669	+	21.1696i	3.38986	+	1.95713i
$118$	6.83253	−	8.13505i	0.628985	−	0.748892i
$119$	−4.03427	−	14.2655i	−0.369821	−	1.30771i
$120$	−9.80198	+	16.9232i	−0.894794	+	1.54487i
$121$	0.500000	−	0.866025i	0.0454545	−	0.0787296i
$122$	−0.208108	+	1.17705i	−0.0188412	+	0.106565i
$123$	31.0783	−	17.9431i	2.80223	−	1.61787i
$124$	−4.35182	−	1.58849i	−0.390805	−	0.142651i
$125$		−	10.9911i		−	0.983077i
$126$	−9.61570	+	21.3604i	−0.856634	+	1.90293i
$127$			14.5318i			1.28949i	0.764398	+	0.644745i	$0.223036\pi$
$127$			14.5318i			1.28949i	−0.764398	+	0.644745i	$0.776964\pi$
$128$	−7.30033	+	8.64321i	−0.645264	+	0.763959i
$129$	4.58218	−	2.64552i	0.403438	−	0.232925i
$130$	21.3992	+	3.78346i	1.87684	+	0.331832i
$131$	5.17265	−	8.95929i	0.451936	−	0.782776i	−0.546570	−	0.837413i	$-0.684067\pi$
$131$	5.17265	−	8.95929i	0.451936	−	0.782776i	0.998506	+	0.0546369i	$0.0174001\pi$
$132$	5.99475	−	1.05132i	0.521776	−	0.0915056i
$133$	1.24885	+	1.21484i	0.108289	+	0.105340i
$134$	−4.45419	−	3.74102i	−0.384784	−	0.323175i
$135$	19.5246	+	11.2725i	1.68041	+	0.970184i
$136$	−15.8485	−	0.0219905i	−1.35900	−	0.00188567i
$137$	−5.39883	−	9.35105i	−0.461253	−	0.798914i	0.537771	−	0.843091i	$-0.319267\pi$
$137$	−5.39883	−	9.35105i	−0.461253	−	0.798914i	−0.999024	+	0.0441775i	$0.985933\pi$
$138$	1.67618	−	0.609203i	0.142686	−	0.0518588i
$139$	15.7277			1.33400			0.667001	−	0.745057i	$-0.267578\pi$
$139$	15.7277			1.33400			0.667001	+	0.745057i	$0.267578\pi$
$140$	−0.893549	+	11.9899i	−0.0755186	+	1.01333i
$141$	15.5456			1.30917
$142$	−1.62348	+	0.590049i	−0.136240	+	0.0495159i
$143$	−3.38142	−	5.85679i	−0.282769	−	0.489770i
$144$	19.1537	+	16.1323i	1.59614	+	1.34436i
$145$	−2.08407	−	1.20324i	−0.173073	−	0.0999235i
$146$	−7.02065	−	5.89656i	−0.581033	−	0.488003i
$147$	0.588010	+	21.2937i	0.0484982	+	1.75628i
$148$	0.636531	+	3.62958i	0.0523225	+	0.298349i
$149$	1.85084	−	3.20574i	0.151627	−	0.262625i	−0.780199	−	0.625531i	$-0.784882\pi$
$149$	1.85084	−	3.20574i	0.151627	−	0.262625i	0.931826	+	0.362907i	$0.118216\pi$
$150$	0.689419	+	0.121892i	0.0562908	+	0.00995244i
$151$	−7.58387	+	4.37855i	−0.617166	+	0.356321i	−0.775765	−	0.631022i	$-0.782636\pi$
$151$	−7.58387	+	4.37855i	−0.617166	+	0.356321i	0.158599	+	0.987343i	$0.449302\pi$
$152$	1.61431	−	0.929039i	0.130938	−	0.0753550i
$153$			35.0799i			2.83604i
$154$	3.03608	−	2.18682i	0.244655	−	0.176219i
$155$			5.26307i			0.422740i
$156$	14.1134	−	38.6650i	1.12998	−	3.09567i
$157$	13.8618	−	8.00310i	1.10629	−	0.638717i	0.168424	−	0.985715i	$-0.446132\pi$
$157$	13.8618	−	8.00310i	1.10629	−	0.638717i	0.937866	+	0.346997i	$0.112799\pi$
$158$	−1.53202	+	8.66506i	−0.121881	+	0.689355i
$159$	6.12074	−	10.6014i	0.485406	−	0.840749i
$160$	12.0679	+	4.42399i	0.954051	+	0.349747i
$161$	0.764512	−	0.785914i	0.0602520	−	0.0619387i
$162$	10.3807	−	12.3596i	0.815582	−	0.971060i
$163$	1.40903	+	0.813506i	0.110364	+	0.0637187i	0.554166	−	0.832406i	$-0.313037\pi$
$163$	1.40903	+	0.813506i	0.110364	+	0.0637187i	−0.443802	+	0.896125i	$0.646371\pi$
$164$	−15.1435	−	18.0812i	−1.18251	−	1.41191i
$165$	−3.45722	−	5.98808i	−0.269144	−	0.466171i
$166$	7.18986	+	19.7824i	0.558041	+	1.53542i
$167$	0.250754			0.0194039			0.00970196	−	0.999953i	$-0.496912\pi$
$167$	0.250754			0.0194039			0.00970196	+	0.999953i	$0.496912\pi$
$168$	22.0681	+	5.62043i	1.70259	+	0.433625i
$169$	−32.7360			−2.51816
$170$	6.15030	+	16.9222i	0.471706	+	1.29787i
$171$	−2.06134	−	3.57034i	−0.157634	−	0.273031i
$172$	−2.23275	−	2.66590i	−0.170246	−	0.203273i
$173$	−18.6485	−	10.7667i	−1.41782	−	0.818576i	−0.421709	−	0.906731i	$-0.638570\pi$
$173$	−18.6485	−	10.7667i	−1.41782	−	0.818576i	−0.996107	+	0.0881549i	$0.971903\pi$
$174$	−2.93147	+	3.49030i	−0.222234	+	0.264599i
$175$	0.414167	−	0.117126i	0.0313081	−	0.00885391i
$176$	−1.36112	−	3.76130i	−0.102599	−	0.283518i
$177$	−11.4301	+	19.7975i	−0.859136	+	1.48807i
$178$	−2.49743	+	14.1254i	−0.187190	+	1.05874i
$179$	−8.61929	+	4.97635i	−0.644236	+	0.371950i	−0.786244	−	0.617916i	$-0.787977\pi$
$179$	−8.61929	+	4.97635i	−0.644236	+	0.371950i	0.142009	+	0.989865i	$0.454644\pi$
$180$	9.75519	−	26.7252i	0.727109	−	1.99198i
$181$			11.4030i			0.847581i	0.905760	+	0.423790i	$0.139301\pi$
$181$			11.4030i			0.847581i	−0.905760	+	0.423790i	$0.860699\pi$
$182$	−2.54151	−	25.1763i	−0.188389	−	1.86619i
$183$		−	2.57208i		−	0.190134i
$184$	−0.584653	−	1.01590i	−0.0431012	−	0.0748932i
$185$	3.62554	−	2.09320i	0.266555	−	0.153895i
$186$	9.81638	+	1.73557i	0.719772	+	0.127258i
$187$	2.80165	−	4.85260i	0.204877	−	0.354858i
$188$	−1.76483	−	10.0633i	−0.128713	−	0.733940i
$189$	6.44386	−	25.4489i	0.468722	−	1.85113i
$190$	−1.62033	−	1.36089i	−0.117551	−	0.0987295i
$191$	20.1058	+	11.6081i	1.45481	+	0.839933i	0.998748	−	0.0500167i	$-0.0159275\pi$
$191$	20.1058	+	11.6081i	1.45481	+	0.839933i	0.456058	+	0.889950i	$0.349261\pi$
$192$	12.2309	−	21.0495i	0.882692	−	1.51912i
$193$	6.44134	+	11.1567i	0.463658	+	0.803079i	0.999140	−	0.0414679i	$-0.0132034\pi$
$193$	6.44134	+	11.1567i	0.463658	+	0.803079i	−0.535482	+	0.844547i	$0.679870\pi$
$194$	7.14540	−	2.59697i	0.513010	−	0.186452i
$195$	−46.7612			−3.34864
$196$	13.7175	−	2.79804i	0.979824	−	0.199860i
$197$	9.61374			0.684950			0.342475	−	0.939527i	$-0.388735\pi$
$197$	9.61374			0.684950			0.342475	+	0.939527i	$0.388735\pi$
$198$	−8.32124	+	3.02433i	−0.591365	+	0.214930i
$199$	−9.95873	−	17.2490i	−0.705956	−	1.22275i	−0.966346	−	0.257248i	$-0.917184\pi$
$199$	−9.95873	−	17.2490i	−0.705956	−	1.22275i	0.260390	−	0.965504i	$-0.416149\pi$
$200$	0.000638445	−	0.460127i	4.51449e−5	−	0.0325359i
$201$	10.8397	+	6.25832i	0.764576	+	0.441428i
$202$	12.1228	+	10.1818i	0.852957	+	0.716388i
$203$	−0.687823	+	2.71643i	−0.0482757	+	0.190656i
$204$	33.5904	−	5.89086i	2.35180	−	0.412443i
$205$	−13.3972	+	23.2047i	−0.935703	+	1.62069i
$206$	−12.9554	−	2.29056i	−0.902643	−	0.159591i
$207$	−2.24685	+	1.29722i	−0.156167	+	0.0901628i
$208$	−26.6317	−	4.74670i	−1.84657	−	0.329124i
$209$			0.658513i			0.0455503i
$210$	−2.59847	−	25.7406i	−0.179312	−	1.77627i
$211$			13.9798i			0.962408i	0.876609	+	0.481204i	$0.159800\pi$
$211$			13.9798i			0.962408i	−0.876609	+	0.481204i	$0.840200\pi$
$212$	−7.55761	−	2.75866i	−0.519059	−	0.189466i
$213$	3.21902	−	1.85850i	0.220564	−	0.127342i
$214$	2.43424	−	13.7680i	0.166401	−	0.941162i
$215$	−1.97529	+	3.42130i	−0.134713	+	0.233330i
$216$	−24.2851	−	14.0660i	−1.65239	−	0.957070i
$217$	5.89717	−	1.66772i	0.400326	−	0.113212i
$218$	−12.5064	+	14.8905i	−0.847039	+	1.00851i
$219$	17.0855	+	9.86429i	1.15453	+	0.666567i
$220$	−3.48384	+	2.91780i	−0.234881	+	0.196718i
$221$	−18.9471	−	32.8174i	−1.27452	−	2.20754i
$222$	−2.70855	−	7.45241i	−0.181786	−	0.500173i
$223$	14.4809			0.969713			0.484857	−	0.874594i	$-0.338872\pi$
$223$	14.4809			0.969713			0.484857	+	0.874594i	$0.338872\pi$
$224$	1.13302	−	14.9237i	0.0757029	−	0.997130i
$225$	−1.01847			−0.0678979
$226$	−4.57410	−	12.5854i	−0.304265	−	0.837166i
$227$	0.417453	+	0.723049i	0.0277073	+	0.0479905i	0.879547	−	0.475813i	$-0.157846\pi$
$227$	0.417453	+	0.723049i	0.0277073	+	0.0479905i	−0.851839	+	0.523803i	$0.824513\pi$
$228$	−3.07259	+	2.57337i	−0.203487	+	0.170425i
$229$	−16.4273	−	9.48429i	−1.08554	−	0.626739i	−0.153158	−	0.988202i	$-0.548944\pi$
$229$	−16.4273	−	9.48429i	−1.08554	−	0.626739i	−0.932387	+	0.361462i	$0.882278\pi$
$230$	−0.856422	+	1.01969i	−0.0564708	+	0.0672361i
$231$	−5.61403	+	5.77120i	−0.369376	+	0.379717i
$232$	2.59222	+	1.50142i	0.170187	+	0.0985728i
$233$	1.46930	−	2.54491i	0.0962572	−	0.166722i	−0.813875	−	0.581039i	$-0.802646\pi$
$233$	1.46930	−	2.54491i	0.0962572	−	0.166722i	0.910133	+	0.414317i	$0.135980\pi$
$234$	−10.4248	+	58.9623i	−0.681488	+	3.85449i
$235$	−10.0521	+	5.80356i	−0.655724	+	0.378583i
$236$	14.1133	+	5.15162i	0.918699	+	0.335342i
$237$		−	18.9348i		−	1.22994i
$238$	17.0121	−	12.2534i	1.10273	−	0.794273i
$239$			4.28286i			0.277035i	0.990360	+	0.138518i	$0.0442338\pi$
$239$			4.28286i			0.277035i	−0.990360	+	0.138518i	$0.955766\pi$
$240$	−27.2286	−	4.85310i	−1.75760	−	0.313266i
$241$	−6.10895	+	3.52701i	−0.393512	+	0.227194i	−0.683681	−	0.729781i	$-0.739622\pi$
$241$	−6.10895	+	3.52701i	−0.393512	+	0.227194i	0.290169	+	0.956976i	$0.406289\pi$
$242$	1.39261	+	0.246220i	0.0895207	+	0.0158276i
$243$	−2.48221	+	4.29932i	−0.159234	+	0.275801i
$244$	−1.66501	+	0.291999i	−0.106591	+	0.0186933i
$245$	−8.32972	−	13.5494i	−0.532167	−	0.865641i
$246$	38.8621	+	32.6399i	2.47776	+	2.08104i
$247$	3.85677	+	2.22671i	0.245401	+	0.141682i
$248$	0.00909058	−	6.55158i	0.000577252	−	0.416026i
$249$	−22.6462	−	39.2243i	−1.43514	−	2.48574i
$250$	14.6089	−	5.30954i	0.923945	−	0.335805i
$251$	25.8510			1.63170			0.815852	−	0.578261i	$-0.196269\pi$
$251$	25.8510			1.63170			0.815852	+	0.578261i	$0.196269\pi$
$252$	−33.0362	−	2.46204i	−2.08109	−	0.155094i
$253$	0.414408			0.0260536
$254$	−19.3150	+	7.01995i	−1.21193	+	0.440471i
$255$	−19.3718	−	33.5530i	−1.21311	−	2.10117i
$256$	−15.0147	−	5.52792i	−0.938421	−	0.345495i
$257$	4.49949	+	2.59778i	0.280670	+	0.162045i	0.633727	−	0.773557i	$-0.281524\pi$
$257$	4.49949	+	2.59778i	0.280670	+	0.162045i	−0.353057	+	0.935602i	$0.614858\pi$
$258$	5.72983	+	4.81242i	0.356724	+	0.299608i
$259$	−3.49423	−	3.39907i	−0.217121	−	0.211208i
$260$	5.30863	+	30.2705i	0.329227	+	1.87729i
$261$	3.31534	−	5.74234i	0.205214	−	0.355442i
$262$	14.4070	+	2.54722i	0.890068	+	0.157367i
$263$	−8.50979	+	4.91313i	−0.524736	+	0.302957i	−0.738870	−	0.673848i	$-0.764640\pi$
$263$	−8.50979	+	4.91313i	−0.524736	+	0.302957i	0.214134	+	0.976804i	$0.431307\pi$
$264$	4.29327	+	7.46005i	0.264233	+	0.459135i
$265$			9.14014i			0.561474i
$266$	−1.01142	+	2.24677i	−0.0620140	+	0.137758i
$267$		−	30.8666i		−	1.88901i
$268$	2.82067	−	7.72749i	0.172300	−	0.472031i
$269$	2.31584	−	1.33705i	0.141199	−	0.0815215i	−0.427736	−	0.903904i	$-0.640689\pi$
$269$	2.31584	−	1.33705i	0.141199	−	0.0815215i	0.568935	+	0.822382i	$0.307355\pi$
$270$	−5.55103	+	31.3966i	−0.337825	+	1.91073i
$271$	3.86213	−	6.68940i	0.234607	−	0.406352i	−0.724551	−	0.689221i	$-0.757953\pi$
$271$	3.86213	−	6.68940i	0.234607	−	0.406352i	0.959159	+	0.282869i	$0.0912862\pi$
$272$	−7.62679	−	21.0757i	−0.462442	−	1.27790i
$273$	14.8173	+	52.3951i	0.896784	+	3.17109i
$274$	9.82090	−	11.6931i	0.593302	−	0.706406i
$275$	0.140885	+	0.0813398i	0.00849567	+	0.00490497i
$276$	1.61944	+	1.93361i	0.0974790	+	0.116389i
$277$	10.6598	+	18.4633i	0.640484	+	1.10935i	0.985325	+	0.170690i	$0.0545996\pi$
$277$	10.6598	+	18.4633i	0.640484	+	1.10935i	−0.344841	+	0.938661i	$0.612067\pi$
$278$	7.59764	+	20.9044i	0.455676	+	1.25376i
$279$	−14.5016			−0.868188
$280$	−16.3680	+	4.60434i	−0.978173	+	0.275162i
$281$	5.35780			0.319620			0.159810	−	0.987148i	$-0.448912\pi$
$281$	5.35780			0.319620			0.159810	+	0.987148i	$0.448912\pi$
$282$	7.50966	+	20.6624i	0.447194	+	1.23043i
$283$	−1.48410	−	2.57053i	−0.0882205	−	0.152802i	0.818539	−	0.574452i	$-0.194785\pi$
$283$	−1.48410	−	2.57053i	−0.0882205	−	0.152802i	−0.906759	+	0.421649i	$0.861451\pi$
$284$	−1.56853	−	1.87281i	−0.0930750	−	0.111131i
$285$	3.94323	+	2.27662i	0.233576	+	0.134855i
$286$	6.15107	−	7.32368i	0.363721	−	0.433059i
$287$	30.2456	+	7.65843i	1.78534	+	0.452063i
$288$	−12.1896	+	33.2513i	−0.718281	+	1.95935i
$289$	7.19851	−	12.4682i	0.423442	−	0.733422i
$290$	0.592522	−	3.35129i	0.0347941	−	0.196795i
$291$	−14.1678	+	8.17979i	−0.830532	+	0.479508i
$292$	4.44591	−	12.1800i	0.260177	−	0.712779i
$293$			10.3505i			0.604681i	0.953200	+	0.302341i	$0.0977680\pi$
$293$			10.3505i			0.604681i	−0.953200	+	0.302341i	$0.902232\pi$
$294$	−28.0185	+	11.0680i	−1.63407	+	0.645500i
$295$		−	17.0686i		−	0.993771i
$296$	−4.51676	+	2.59940i	−0.262531	+	0.151087i
$297$	8.59298	−	4.96116i	0.498616	−	0.287876i
$298$	5.15501	+	0.911425i	0.298622	+	0.0527975i
$299$	1.40129	−	2.42710i	0.0810386	−	0.140363i
$300$	0.171028	+	0.975224i	0.00987432	+	0.0563046i
$301$	4.45941	+	1.12916i	0.257036	+	0.0650836i
$302$	−9.48332	−	7.96493i	−0.545704	−	0.458330i
$303$	−29.5020	−	17.0330i	−1.69485	−	0.978521i
$304$	2.01466	+	1.69687i	0.115549	+	0.0973219i
$305$	0.960225	+	1.66316i	0.0549823	+	0.0952321i
$306$	−46.6265	+	16.9462i	−2.66546	+	0.968751i
$307$	−28.5744			−1.63083			−0.815415	−	0.578877i	$-0.803491\pi$
$307$	−28.5744			−1.63083			−0.815415	+	0.578877i	$0.803491\pi$
$308$	4.37327	+	2.97901i	0.249190	+	0.169745i
$309$	28.3099			1.61049
$310$	−6.99540	+	2.54246i	−0.397312	+	0.144402i
$311$	5.32990	+	9.23167i	0.302231	+	0.523480i	0.976641	−	0.214877i	$-0.0689352\pi$
$311$	5.32990	+	9.23167i	0.302231	+	0.523480i	−0.674410	+	0.738357i	$0.735602\pi$
$312$	58.2094	+	0.0807678i	3.29546	+	0.00457258i
$313$	−7.97071	−	4.60189i	−0.450531	−	0.260114i	0.257523	−	0.966272i	$-0.417094\pi$
$313$	−7.97071	−	4.60189i	−0.450531	−	0.260114i	−0.708055	+	0.706158i	$0.750427\pi$
$314$	17.3336	+	14.5583i	0.978192	+	0.821571i
$315$	10.2417	+	36.2155i	0.577056	+	2.04051i
$316$	−12.2572	+	2.14959i	−0.689524	+	0.120924i
$317$	−5.97216	+	10.3441i	−0.335430	+	0.580982i	−0.983567	−	0.180541i	$-0.942215\pi$
$317$	−5.97216	+	10.3441i	−0.335430	+	0.580982i	0.648137	+	0.761524i	$0.275548\pi$
$318$	17.0477	+	3.01409i	0.955986	+	0.169022i
$319$	−0.917222	+	0.529559i	−0.0513546	+	0.0296496i
$320$	−0.0504432	+	18.1772i	−0.00281986	+	1.01613i
$321$			30.0857i			1.67922i
$322$	1.41391	+	0.636495i	0.0787944	+	0.0354705i
$323$			3.68985i			0.205309i
$324$	21.4424	+	7.82685i	1.19124	+	0.434825i
$325$	0.952781	−	0.550088i	0.0528508	−	0.0305134i
$326$	−0.400602	+	2.26580i	−0.0221873	+	0.125491i
$327$	20.9218	−	36.2376i	1.15698	−	2.00394i
$328$	16.7172	−	28.8625i	0.923055	−	1.59367i
$329$	9.68800	+	9.42416i	0.534117	+	0.519571i
$330$	6.28895	−	7.48785i	0.346195	−	0.412192i
$331$	−21.1606	−	12.2170i	−1.16309	−	0.671510i	−0.211047	−	0.977476i	$-0.567687\pi$
$331$	−21.1606	−	12.2170i	−1.16309	−	0.671510i	−0.952042	+	0.305966i	$0.901021\pi$
$332$	−22.8206	+	19.1128i	−1.25244	+	1.04895i
$333$	5.76751	+	9.98962i	0.316058	+	0.547428i
$334$	0.121133	+	0.333290i	0.00662810	+	0.0182368i
$335$	−9.34558			−0.510604
$336$	3.19018	+	32.0470i	0.174038	+	1.74830i
$337$	−11.4510			−0.623778			−0.311889	−	0.950119i	$-0.600962\pi$
$337$	−11.4510			−0.623778			−0.311889	+	0.950119i	$0.600962\pi$
$338$	−15.8140	−	43.5111i	−0.860166	−	2.36669i
$339$	14.4072	+	24.9541i	0.782494	+	1.35532i
$340$	−19.5210	+	16.3493i	−1.05868	+	0.886667i
$341$	2.00600	+	1.15817i	0.108631	+	0.0627183i
$342$	3.74973	−	4.46456i	0.202762	−	0.241416i
$343$	−12.5424	+	13.6267i	−0.677227	+	0.735774i
$344$	2.46479	−	4.25549i	0.132892	−	0.229441i
$345$	1.43270	−	2.48151i	0.0771339	−	0.133600i
$346$	5.30194	−	29.9877i	0.285034	−	1.61215i
$347$	11.8406	−	6.83615i	0.635635	−	0.366984i	−0.147296	−	0.989092i	$-0.547057\pi$
$347$	11.8406	−	6.83615i	0.635635	−	0.366984i	0.782931	+	0.622109i	$0.213724\pi$
$348$	−6.05525	−	2.21028i	−0.324596	−	0.118483i
$349$			12.4559i			0.666751i	0.942794	+	0.333375i	$0.108188\pi$
$349$			12.4559i			0.666751i	−0.942794	+	0.333375i	$0.891812\pi$
$350$	0.355752	+	0.493909i	0.0190157	+	0.0264005i
$351$		−	67.1031i		−	3.58170i
$352$	4.34180	−	3.62612i	0.231419	−	0.193273i
$353$	−24.3000	+	14.0296i	−1.29336	+	0.746720i	−0.979248	−	0.202667i	$-0.935039\pi$
$353$	−24.3000	+	14.0296i	−1.29336	+	0.746720i	−0.314109	+	0.949387i	$0.601706\pi$
$354$	−31.8354	−	5.62861i	−1.69203	−	0.299157i
$355$	−1.38766	+	2.40349i	−0.0736491	+	0.127564i
$356$	−19.9812	+	3.50418i	−1.05900	+	0.185721i
$357$	−31.4571	+	32.3378i	−1.66489	+	1.71150i
$358$	−10.7781	−	9.05237i	−0.569639	−	0.478433i
$359$	15.5788	+	8.99442i	0.822217	+	0.474707i	0.851180	−	0.524873i	$-0.175887\pi$
$359$	15.5788	+	8.99442i	0.822217	+	0.474707i	−0.0289633	+	0.999580i	$0.509221\pi$
$360$	40.2343	+	0.0558267i	2.12053	+	0.00294233i
$361$	9.28318	+	16.0789i	0.488588	+	0.846260i
$362$	−15.1563	+	5.50852i	−0.796599	+	0.289521i
$363$	−3.04312			−0.159722
$364$	32.2353	−	15.5401i	1.68959	−	0.814521i
$365$	−14.7304			−0.771024
$366$	3.41868	−	1.24251i	0.178697	−	0.0649469i
$367$	9.28761	+	16.0866i	0.484809	+	0.839714i	0.999848	−	0.0174528i	$-0.00555568\pi$
$367$	9.28761	+	16.0866i	0.484809	+	0.839714i	−0.515038	+	0.857167i	$0.672222\pi$
$368$	1.06785	−	1.26785i	0.0556657	−	0.0660911i
$369$	−63.9370	−	36.9141i	−3.32843	−	1.92167i
$370$	4.53359	+	3.80771i	0.235690	+	0.197953i
$371$	10.2413	−	2.89625i	0.531704	−	0.150366i
$372$	2.43521	+	13.8858i	0.126260	+	0.719948i
$373$	12.0496	−	20.8705i	0.623904	−	1.08063i	−0.364847	−	0.931067i	$-0.618879\pi$
$373$	12.0496	−	20.8705i	0.623904	−	1.08063i	0.988752	−	0.149567i	$-0.0477879\pi$
$374$	7.80324	+	1.37964i	0.403496	+	0.0713397i
$375$	−28.9662	+	16.7237i	−1.49581	+	0.863606i
$376$	12.5230	−	7.20704i	0.645827	−	0.371675i
$377$			7.16264i			0.368895i
$378$	36.9382	−	3.72885i	1.89990	−	0.191791i
$379$		−	10.0386i		−	0.515650i	−0.966192	−	0.257825i	$-0.916994\pi$
$379$		−	10.0386i		−	0.515650i	0.966192	−	0.257825i	$-0.0830058\pi$
$380$	1.02609	−	2.81107i	0.0526373	−	0.144205i
$381$	38.2974	−	22.1110i	1.96204	−	1.13278i
$382$	−5.71629	+	32.3312i	−0.292471	+	1.65421i
$383$	3.80001	−	6.58181i	0.194172	−	0.336315i	−0.752457	−	0.658641i	$-0.771131\pi$
$383$	3.80001	−	6.58181i	0.194172	−	0.336315i	0.946629	+	0.322326i	$0.104465\pi$
$384$	33.8864	+	6.08827i	1.72926	+	0.310691i
$385$	1.47560	−	5.82764i	0.0752038	−	0.297004i
$386$	−11.7173	+	13.9510i	−0.596395	+	0.710089i
$387$	−9.42687	−	5.44260i	−0.479195	−	0.276663i
$388$	6.90353	+	8.24278i	0.350474	+	0.418464i
$389$	−6.94385	−	12.0271i	−0.352067	−	0.609798i	0.634544	−	0.772886i	$-0.281188\pi$
$389$	−6.94385	−	12.0271i	−0.352067	−	0.609798i	−0.986611	+	0.163088i	$0.947854\pi$
$390$	−22.5892	−	62.1527i	−1.14385	−	3.14722i
$391$	2.32206			0.117431
$392$	10.3456	+	16.8810i	0.522532	+	0.852619i
$393$	−31.4820			−1.58805
$394$	4.64415	+	12.7781i	0.233969	+	0.643751i
$395$	7.06884	+	12.2436i	0.355672	+	0.616042i
$396$	−8.03957	−	9.59920i	−0.404003	−	0.482378i
$397$	7.69155	+	4.44072i	0.386028	+	0.222873i	0.680438	−	0.732806i	$-0.261790\pi$
$397$	7.69155	+	4.44072i	0.386028	+	0.222873i	−0.294410	+	0.955679i	$0.595123\pi$
$398$	18.1157	−	21.5692i	0.908059	−	1.08117i
$399$	1.30142	−	5.13971i	0.0651522	−	0.257307i
$400$	0.611886	−	0.221427i	0.0305943	−	0.0110714i
$401$	0.0518111	−	0.0897394i	0.00258732	−	0.00448137i	−0.864729	−	0.502239i	$-0.832510\pi$
$401$	0.0518111	−	0.0897394i	0.00258732	−	0.00448137i	0.867316	+	0.497758i	$0.165843\pi$
$402$	−3.08184	+	17.4309i	−0.153708	+	0.869372i
$403$	13.5663	−	7.83250i	0.675785	−	0.390165i
$404$	−7.67691	+	21.0316i	−0.381940	+	1.04636i
$405$		−	25.9323i		−	1.28859i
$406$	−3.94281	+	0.398021i	−0.195679	+	0.0197534i
$407$		−	1.84249i		−	0.0913286i
$408$	24.0565	+	41.8010i	1.19098	+	2.06946i
$409$	15.4812	−	8.93805i	0.765494	−	0.441958i	−0.0657711	−	0.997835i	$-0.520951\pi$
$409$	15.4812	−	8.93805i	0.765494	−	0.441958i	0.831265	+	0.555877i	$0.187617\pi$
$410$	−37.3144	−	6.59732i	−1.84282	−	0.325819i
$411$	−16.4293	+	28.4563i	−0.810397	+	1.40365i
$412$	−3.21392	−	18.3261i	−0.158338	−	0.902864i
$413$	−19.1250	+	5.40855i	−0.941080	+	0.266137i
$414$	−2.80959	−	2.35974i	−0.138084	−	0.115975i
$415$	29.2870	+	16.9088i	1.43764	+	0.830022i
$416$	−6.55601	−	37.6905i	−0.321435	−	1.84793i
$417$	−23.9306	−	41.4490i	−1.17189	−	2.02976i
$418$	−0.875262	+	0.318111i	−0.0428105	+	0.0155593i
$419$	−6.58431			−0.321665			−0.160832	−	0.986982i	$-0.551418\pi$
$419$	−6.58431			−0.321665			−0.160832	+	0.986982i	$0.551418\pi$
$420$	32.9579	−	15.8884i	1.60818	−	0.775275i
$421$	−11.1362			−0.542743			−0.271372	−	0.962475i	$-0.587477\pi$
$421$	−11.1362			−0.542743			−0.271372	+	0.962475i	$0.587477\pi$
$422$	−18.5812	+	6.75328i	−0.904520	+	0.328745i
$423$	−15.9908	−	27.6970i	−0.777502	−	1.34667i
$424$	0.0157872	−	11.3778i	0.000766694	−	0.552556i
$425$	0.789420	+	0.455772i	0.0382925	+	0.0221082i
$426$	4.02525	+	3.38076i	0.195024	+	0.163799i
$427$	1.55927	−	1.60292i	0.0754583	−	0.0775708i
$428$	19.4757	−	3.41551i	0.941392	−	0.165095i
$429$	−10.2901	+	17.8229i	−0.496809	+	0.860499i
$430$	−5.50163	−	0.972709i	−0.265312	−	0.0469082i
$431$	3.94747	−	2.27908i	0.190143	−	0.109779i	−0.401906	−	0.915681i	$-0.631652\pi$
$431$	3.94747	−	2.27908i	0.190143	−	0.109779i	0.592050	+	0.805902i	$0.298319\pi$
$432$	6.96427	−	39.0735i	0.335069	−	1.87993i
$433$			0.0433503i			0.00208328i	0.999999	+	0.00104164i	$0.000331565\pi$
$433$			0.0433503i			0.00208328i	−0.999999	+	0.00104164i	$0.999668\pi$
$434$	5.06542	+	7.03258i	0.243148	+	0.337575i
$435$			7.32319i			0.351120i
$436$	−25.8333	−	9.42961i	−1.23719	−	0.451597i
$437$	−0.236332	+	0.136447i	−0.0113053	+	0.00652713i
$438$	−4.85757	+	27.4743i	−0.232104	+	1.31277i
$439$	10.8347	−	18.7663i	0.517114	−	0.895667i	−0.482689	−	0.875792i	$-0.660340\pi$
$439$	10.8347	−	18.7663i	0.517114	−	0.895667i	0.999802	−	0.0198752i	$-0.00632689\pi$
$440$	−5.56115	−	3.22103i	−0.265118	−	0.153557i
$441$	37.3334	−	22.9513i	1.77778	−	1.09292i
$442$	34.4663	−	41.0368i	1.63940	−	1.95192i
$443$	7.83375	+	4.52282i	0.372193	+	0.214885i	0.674416	−	0.738352i	$-0.264396\pi$
$443$	7.83375	+	4.52282i	0.372193	+	0.214885i	−0.302223	+	0.953237i	$0.597729\pi$
$444$	8.59694	−	7.20015i	0.407993	−	0.341704i
$445$	11.5233	+	19.9590i	0.546258	+	0.946147i
$446$	6.99536	+	19.2473i	0.331240	+	0.911386i
$447$	−11.2646			−0.532799
$448$	20.3831	−	5.70330i	0.963013	−	0.269456i
$449$	−0.745428			−0.0351789			−0.0175895	−	0.999845i	$-0.505599\pi$
$449$	−0.745428			−0.0351789			−0.0175895	+	0.999845i	$0.505599\pi$
$450$	−0.491996	−	1.35370i	−0.0231929	−	0.0638139i
$451$	5.89627	+	10.2126i	0.277645	+	0.480894i
$452$	14.5182	−	12.1593i	0.682878	−	0.571927i
$453$	23.0786	+	13.3244i	1.08433	+	0.626037i
$454$	−0.759380	+	0.904144i	−0.0356395	+	0.0424336i
$455$	−29.1416	−	28.3480i	−1.36618	−	1.32897i
$456$	−4.90468	−	2.84080i	−0.229683	−	0.133033i
$457$	11.9752	−	20.7416i	0.560175	−	0.970252i	−0.437305	−	0.899313i	$-0.644067\pi$
$457$	11.9752	−	20.7416i	0.560175	−	0.970252i	0.997481	−	0.0709391i	$-0.0225996\pi$
$458$	4.67044	−	26.4159i	0.218235	−	1.23433i
$459$	48.1491	−	27.7989i	2.24741	−	1.29754i
$460$	−1.76903	−	0.645728i	−0.0824815	−	0.0301072i
$461$			6.49571i			0.302536i	0.988493	+	0.151268i	$0.0483356\pi$
$461$			6.49571i			0.302536i	−0.988493	+	0.151268i	$0.951664\pi$
$462$	−10.3828	−	4.67397i	−0.483051	−	0.217453i
$463$			1.85637i			0.0862729i	0.999069	+	0.0431364i	$0.0137350\pi$
$463$			1.85637i			0.0862729i	−0.999069	+	0.0431364i	$0.986265\pi$
$464$	−0.743372	+	4.17074i	−0.0345102	+	0.193622i
$465$	13.8704	−	8.00807i	0.643224	−	0.371365i
$466$	4.09234	+	0.723542i	0.189574	+	0.0335174i
$467$	−16.2359	+	28.1213i	−0.751306	+	1.30130i	0.195884	+	0.980627i	$0.437242\pi$
$467$	−16.2359	+	28.1213i	−0.751306	+	1.30130i	−0.947190	+	0.320673i	$0.896091\pi$
$468$	−83.4057	+	14.6271i	−3.85543	+	0.676140i
$469$	2.96135	+	10.4715i	0.136742	+	0.483531i
$470$	−12.5697	−	10.5571i	−0.579797	−	0.486965i
$471$	−42.1831	−	24.3544i	−1.94369	−	1.12219i
$472$	−0.0294815	+	21.2473i	−0.00135700	+	0.977987i
$473$	0.869346	+	1.50575i	0.0399726	+	0.0692345i
$474$	25.1671	−	9.14691i	1.15596	−	0.420131i
$475$	−0.107127			−0.00491531
$476$	24.5048	+	16.6923i	1.12317	+	0.765090i
$477$	−25.1843			−1.15311
$478$	−5.69256	+	2.06894i	−0.260372	+	0.0946312i
$479$	10.7030	+	18.5382i	0.489034	+	0.847032i	0.999920	−	0.0126164i	$-0.00401605\pi$
$479$	10.7030	+	18.5382i	0.489034	+	0.847032i	−0.510886	+	0.859648i	$0.670683\pi$
$480$	−6.70297	−	38.5353i	−0.305947	−	1.75889i
$481$	−10.7911	−	6.23022i	−0.492030	−	0.284074i
$482$	−7.63900	−	6.41591i	−0.347947	−	0.292237i
$483$	−3.23446	−	0.818992i	−0.147173	−	0.0372654i
$484$	0.345474	+	1.96994i	0.0157034	+	0.0895425i
$485$	6.10746	−	10.5784i	0.277325	−	0.480342i
$486$	−6.91353	−	1.22234i	−0.313604	−	0.0554464i
$487$	16.4285	−	9.48500i	0.744446	−	0.429806i	−0.0792374	−	0.996856i	$-0.525249\pi$
$487$	16.4285	−	9.48500i	0.744446	−	0.429806i	0.823684	+	0.567050i	$0.191915\pi$
$488$	−1.19244	−	2.07199i	−0.0539790	−	0.0937947i
$489$		−	4.95119i		−	0.223901i
$490$	13.9853	−	17.6168i	0.631793	−	0.795848i
$491$		−	14.5236i		−	0.655439i	−0.944775	−	0.327720i	$-0.893720\pi$
$491$		−	14.5236i		−	0.655439i	0.944775	−	0.327720i	$-0.106280\pi$
$492$	−24.6099	+	67.4211i	−1.10950	+	3.03958i
$493$	−5.13948	+	2.96728i	−0.231470	+	0.133639i
$494$	−1.09652	+	6.20190i	−0.0493348	+	0.279037i
$495$	−7.11249	+	12.3192i	−0.319683	+	0.553707i
$496$	8.71242	−	3.15282i	0.391199	−	0.141566i
$497$	3.13277	+	0.793243i	0.140524	+	0.0355818i
$498$	41.1952	−	49.0485i	1.84600	−	2.19791i
$499$	−19.2599	−	11.1197i	−0.862193	−	0.497787i	0.00255319	−	0.999997i	$-0.499187\pi$
$499$	−19.2599	−	11.1197i	−0.862193	−	0.497787i	−0.864746	+	0.502209i	$0.832521\pi$
$500$	14.1143	+	16.8525i	0.631213	+	0.753665i
$501$	−0.381537	−	0.660842i	−0.0170458	−	0.0295242i
$502$	12.4880	+	34.3599i	0.557366	+	1.53356i
$503$	30.8099			1.37374			0.686872	−	0.726778i	$-0.258983\pi$
$503$	30.8099			1.37374			0.686872	+	0.726778i	$0.258983\pi$
$504$	−12.6866	−	45.0995i	−0.565104	−	2.00889i
$505$	25.4355			1.13186
$506$	0.200190	+	0.550811i	0.00889954	+	0.0244865i
$507$	49.8098	+	86.2732i	2.21213	+	3.83153i
$508$	−18.6611	−	22.2813i	−0.827954	−	0.988573i
$509$	−0.00691541	−	0.00399262i	−0.000306520	−	0.000176970i	0.499847	−	0.866114i	$-0.333390\pi$
$509$	−0.00691541	−	0.00399262i	−0.000306520	−	0.000176970i	−0.500153	+	0.865937i	$0.666723\pi$
$510$	35.2389	−	41.9567i	1.56041	−	1.85787i
$511$	4.66765	+	16.5051i	0.206484	+	0.730144i
$512$	0.0941890	−	22.6272i	0.00416261	−	0.999991i
$513$	−3.26699	+	5.65859i	−0.144241	+	0.249833i
$514$	−1.27925	+	7.23541i	−0.0564253	+	0.319140i
$515$	−18.3057	+	10.5688i	−0.806647	+	0.465718i
$516$	−3.62848	+	9.94056i	−0.159735	+	0.437609i
$517$			5.10843i			0.224668i
$518$	2.82990	−	6.28635i	0.124339	−	0.276206i
$519$			65.5287i			2.87639i
$520$	−37.6695	+	21.6789i	−1.65192	+	0.950681i
$521$	−22.3452	+	12.9010i	−0.978960	+	0.565203i	−0.901956	−	0.431828i	$-0.857869\pi$
$521$	−22.3452	+	12.9010i	−0.978960	+	0.565203i	−0.0770042	+	0.997031i	$0.524535\pi$
$522$	9.23399	+	1.63261i	0.404161	+	0.0714572i
$523$	−0.555770	+	0.962621i	−0.0243021	+	0.0420925i	−0.877921	−	0.478806i	$-0.841070\pi$
$523$	−0.555770	+	0.962621i	−0.0243021	+	0.0420925i	0.853619	+	0.520899i	$0.174403\pi$
$524$	3.57403	+	20.3796i	0.156132	+	0.890285i
$525$	−0.938856	−	0.913288i	−0.0409750	−	0.0398592i
$526$	−10.6411	−	8.93737i	−0.463976	−	0.389688i
$527$	11.2403	+	6.48956i	0.489633	+	0.282690i
$528$	−7.84156	+	9.31017i	−0.341260	+	0.405173i
$529$	−11.4141	−	19.7699i	−0.496267	−	0.859559i
$530$	−12.1486	+	4.41537i	−0.527702	+	0.191791i
$531$	47.0299			2.04092
$532$	−3.47489	−	0.258967i	−0.150655	−	0.0112277i
$533$	79.7511			3.45440
$534$	41.0264	−	14.9109i	1.77539	−	0.645258i
$535$	−11.2318	−	19.4540i	−0.485592	−	0.841069i
$536$	11.6336	+	0.0161421i	0.502494	+	0.000697231i
$537$	26.2295	+	15.1436i	1.13189	+	0.653495i
$538$	2.89587	+	2.43220i	0.124850	+	0.104860i
$539$	−6.99733	+	0.193226i	−0.301396	+	0.00832283i
$540$	−44.4123	+	7.78873i	−1.91120	+	0.335174i
$541$	−22.5774	+	39.1052i	−0.970679	+	1.68127i	−0.277166	+	0.960822i	$0.589395\pi$
$541$	−22.5774	+	39.1052i	−0.970679	+	1.68127i	−0.693513	+	0.720444i	$0.743938\pi$
$542$	10.7569	+	1.90186i	0.462049	+	0.0816920i
$543$	30.0518	−	17.3504i	1.28964	−	0.744577i
$544$	24.3284	−	20.3183i	1.04307	−	0.871139i
$545$			31.2426i			1.33829i
$546$	−62.4830	+	45.0051i	−2.67403	+	1.92604i
$547$			32.5449i			1.39152i	0.718274	+	0.695761i	$0.244933\pi$
$547$			32.5449i			1.39152i	−0.718274	+	0.695761i	$0.755067\pi$
$548$	20.2861	+	7.40480i	0.866580	+	0.316317i
$549$	−4.58258	+	2.64576i	−0.195580	+	0.112918i
$550$	−0.0400549	+	0.226550i	−0.00170795	+	0.00966013i
$551$	0.348721	−	0.604003i	0.0148560	−	0.0257314i
$552$	−1.78774	+	3.08656i	−0.0760913	+	0.131373i
$553$	11.4788	−	11.8002i	0.488128	−	0.501794i
$554$	−19.3910	+	23.0876i	−0.823844	+	0.980898i
$555$	−11.0329	−	6.36987i	−0.468322	−	0.270386i
$556$	−24.1149	+	20.1968i	−1.02270	+	0.856535i
$557$	16.8373	+	29.1631i	0.713421	+	1.23568i	0.963566	+	0.267472i	$0.0861884\pi$
$557$	16.8373	+	29.1631i	0.713421	+	1.23568i	−0.250145	+	0.968208i	$0.580478\pi$
$558$	−7.00535	−	19.2748i	−0.296560	−	0.815967i
$559$	11.7585			0.497331
$560$	−14.0268	−	19.5312i	−0.592741	−	0.825345i
$561$	−17.0515			−0.719916
$562$	2.58822	+	7.12132i	0.109177	+	0.300395i
$563$	−16.7400	−	28.9945i	−0.705505	−	1.22197i	−0.966509	−	0.256633i	$-0.917387\pi$
$563$	−16.7400	−	28.9945i	−0.705505	−	1.22197i	0.261004	−	0.965338i	$-0.415947\pi$
$564$	−23.8356	+	19.9629i	−1.00366	+	0.840591i
$565$	−18.6320	−	10.7572i	−0.783855	−	0.452559i
$566$	2.69969	−	3.21435i	0.113477	−	0.135109i
$567$	−29.0566	+	8.21721i	−1.22026	+	0.345090i
$568$	1.73153	−	2.98952i	0.0726536	−	0.125437i
$569$	2.63531	−	4.56448i	0.110478	−	0.191353i	−0.805485	−	0.592616i	$-0.798095\pi$
$569$	2.63531	−	4.56448i	0.110478	−	0.191353i	0.915963	+	0.401263i	$0.131429\pi$
$570$	−1.12110	+	6.34091i	−0.0469577	+	0.265592i
$571$	−36.0739	+	20.8273i	−1.50964	+	0.871594i	−0.509708	+	0.860348i	$0.670246\pi$
$571$	−36.0739	+	20.8273i	−1.50964	+	0.871594i	−0.999937	+	0.0112460i	$0.996420\pi$
$572$	12.7057	+	4.63781i	0.531252	+	0.193917i
$573$		−	70.6497i		−	2.95143i
$574$	4.43169	+	43.9005i	0.184975	+	1.83237i
$575$			0.0674158i			0.00281143i
$576$	−50.0844	−	0.138989i	−2.08685	−	0.00579119i
$577$	3.80756	−	2.19829i	0.158511	−	0.0915162i	−0.418646	−	0.908149i	$-0.637495\pi$
$577$	3.80756	−	2.19829i	0.158511	−	0.0915162i	0.577157	+	0.816633i	$0.304162\pi$
$578$	20.0495	+	3.54483i	0.833949	+	0.147445i
$579$	19.6018	−	33.9512i	0.814621	−	1.41097i
$580$	4.74060	−	0.831376i	0.196843	−	0.0345210i
$581$	9.66582	−	38.1734i	0.401006	−	1.58370i
$582$	−17.7163	−	14.8797i	−0.734363	−	0.616783i
$583$	3.48374	+	2.01134i	0.144282	+	0.0833011i
$584$	18.3367	+	0.0254429i	0.758779	+	0.00105284i
$585$	48.1007	+	83.3128i	1.98872	+	3.44456i
$586$	−13.7573	+	5.00006i	−0.568310	+	0.206550i
$587$	−47.2550			−1.95042			−0.975211	−	0.221278i	$-0.928977\pi$
$587$	−47.2550			−1.95042			−0.975211	+	0.221278i	$0.928977\pi$
$588$	−28.2461	−	31.8941i	−1.16485	−	1.31529i
$589$	−1.52534			−0.0628504
$590$	22.6867	−	8.24540i	0.933996	−	0.339458i
$591$	−14.6279	−	25.3362i	−0.601710	−	1.04219i
$592$	−5.63693	−	4.74774i	−0.231676	−	0.195131i
$593$	−2.24230	−	1.29459i	−0.0920802	−	0.0531626i	0.453253	−	0.891382i	$-0.350263\pi$
$593$	−2.24230	−	1.29459i	−0.0920802	−	0.0531626i	−0.545333	+	0.838219i	$0.683597\pi$
$594$	10.7452	+	9.02475i	0.440880	+	0.370290i
$595$	8.26826	−	32.6540i	0.338966	−	1.33868i
$596$	1.27883	+	7.29206i	0.0523831	+	0.298695i
$597$	−30.3056	+	52.4909i	−1.24033	+	2.14831i
$598$	3.90291	+	0.690050i	0.159602	+	0.0282182i
$599$	−24.4204	+	14.0991i	−0.997792	+	0.576075i	−0.907594	−	0.419849i	$-0.862083\pi$
$599$	−24.4204	+	14.0991i	−0.997792	+	0.576075i	−0.0901974	+	0.995924i	$0.528750\pi$
$600$	−1.21360	+	0.698428i	−0.0495450	+	0.0285132i
$601$		−	42.4656i		−	1.73221i	−0.499864	−	0.866104i	$-0.666617\pi$
$601$		−	42.4656i		−	1.73221i	0.499864	−	0.866104i	$-0.333383\pi$
$602$	0.653408	+	6.47269i	0.0266309	+	0.263807i
$603$		−	25.7504i		−	1.04864i
$604$	6.00543	−	16.4524i	0.244357	−	0.669439i
$605$	1.96774	−	1.13608i	0.0800001	−	0.0461881i
$606$	8.38773	−	47.4408i	0.340728	−	1.92715i
$607$	11.1038	−	19.2323i	0.450689	−	0.780616i	−0.547740	−	0.836649i	$-0.684512\pi$
$607$	11.1038	−	19.2323i	0.450689	−	0.780616i	0.998429	+	0.0560326i	$0.0178451\pi$
$608$	−1.28215	+	3.49750i	−0.0519982	+	0.141843i
$609$	8.20550	−	2.32051i	0.332504	−	0.0940319i
$610$	−1.74673	+	2.07971i	−0.0707228	+	0.0842051i
$611$	29.9190	+	17.2737i	1.21039	+	0.698821i
$612$	−45.0481	−	53.7872i	−1.82096	−	2.17422i
$613$	−9.10709	−	15.7739i	−0.367832	−	0.637103i	0.621394	−	0.783498i	$-0.286566\pi$
$613$	−9.10709	−	15.7739i	−0.367832	−	0.637103i	−0.989226	+	0.146394i	$0.953233\pi$
$614$	−13.8036	−	37.9797i	−0.557068	−	1.53274i
$615$	81.5387			3.28796
$616$	−1.84693	+	7.25182i	−0.0744149	+	0.292184i
$617$	−24.9432			−1.00417			−0.502087	−	0.864817i	$-0.667434\pi$
$617$	−24.9432			−1.00417			−0.502087	+	0.864817i	$0.667434\pi$
$618$	13.6758	+	37.6280i	0.550121	+	1.51362i
$619$	−24.7172	−	42.8115i	−0.993469	−	1.72074i	−0.595550	−	0.803318i	$-0.703066\pi$
$619$	−24.7172	−	42.8115i	−0.993469	−	1.72074i	−0.397919	−	0.917420i	$-0.630268\pi$
$620$	−6.75861	−	8.06974i	−0.271432	−	0.324089i
$621$	3.56100	+	2.05595i	0.142898	+	0.0825023i
$622$	−9.69552	+	11.5438i	−0.388755	+	0.462865i
$623$	18.7122	−	19.2361i	0.749690	−	0.770678i
$624$	28.0121	+	77.4080i	1.12138	+	3.09880i
$625$	12.8935	−	22.3321i	0.515739	−	0.893286i
$626$	2.26615	−	12.8173i	0.0905737	−	0.512283i
$627$	1.73546	−	1.00197i	0.0693075	−	0.0400147i
$628$	−10.9767	+	30.0717i	−0.438018	+	1.19999i
$629$		−	10.3240i		−	0.411645i
$630$	−43.1882	+	31.1076i	−1.72066	+	1.23935i
$631$			17.7965i			0.708469i	0.935157	+	0.354234i	$0.115258\pi$
$631$			17.7965i			0.708469i	−0.935157	+	0.354234i	$0.884742\pi$
$632$	−8.77830	−	15.2533i	−0.349182	−	0.606744i
$633$	36.8426	−	21.2711i	1.46436	−	0.845449i
$634$	−16.6338	−	2.94093i	−0.660615	−	0.116799i
$635$	−16.5093	+	28.5949i	−0.655150	+	1.13475i
$636$	4.22912	+	24.1149i	0.167695	+	0.956219i
$637$	−22.5292	+	41.6353i	−0.892641	+	1.64965i
$638$	−1.14695	−	0.963309i	−0.0454082	−	0.0381378i
$639$	−6.62245	−	3.82348i	−0.261980	−	0.151254i
$640$	−24.1845	+	8.71388i	−0.955977	+	0.344446i
$641$	10.1048	+	17.5020i	0.399114	+	0.691286i	0.993617	−	0.112808i	$-0.0359844\pi$
$641$	10.1048	+	17.5020i	0.399114	+	0.691286i	−0.594503	+	0.804094i	$0.702651\pi$
$642$	−39.9883	+	14.5336i	−1.57821	+	0.573596i
$643$	−17.0045			−0.670591			−0.335296	−	0.942113i	$-0.608836\pi$
$643$	−17.0045			−0.670591			−0.335296	+	0.942113i	$0.608836\pi$
$644$	−0.162970	+	2.18678i	−0.00642194	+	0.0861711i
$645$	12.0221			0.473368
$646$	−4.90436	+	1.78247i	−0.192959	+	0.0701305i
$647$	14.2077	+	24.6084i	0.558561	+	0.967456i	0.997617	+	0.0689964i	$0.0219797\pi$
$647$	14.2077	+	24.6084i	0.558561	+	0.967456i	−0.439056	+	0.898460i	$0.644687\pi$
$648$	−0.0447913	+	32.2811i	−0.00175957	+	1.26812i
$649$	−6.50564	−	3.75604i	−0.255369	−	0.147437i
$650$	1.19141	+	1.00065i	0.0467311	+	0.0392489i
$651$	−13.3680	−	13.0040i	−0.523934	−	0.509666i
$652$	−3.20511	+	0.562091i	−0.125522	+	0.0220132i
$653$	20.7328	−	35.9103i	0.811338	−	1.40528i	−0.100590	−	0.994928i	$-0.532073\pi$
$653$	20.7328	−	35.9103i	0.811338	−	1.40528i	0.911928	−	0.410350i	$-0.134594\pi$
$654$	58.2720	+	10.3027i	2.27862	+	0.402868i
$655$	20.3569	−	11.7530i	0.795409	−	0.459229i
$656$	46.4383	+	8.27694i	1.81311	+	0.323160i
$657$		−	40.5874i		−	1.58347i
$658$	−7.84610	+	17.4294i	−0.305873	+	0.679468i
$659$		−	13.8252i		−	0.538555i	−0.963063	−	0.269278i	$-0.913215\pi$
$659$		−	13.8252i		−	0.538555i	0.963063	−	0.269278i	$-0.0867849\pi$
$660$	12.9905	+	4.74177i	0.505655	+	0.184573i
$661$	−44.4078	+	25.6388i	−1.72726	+	0.997235i	−0.826478	+	0.562969i	$0.809659\pi$
$661$	−44.4078	+	25.6388i	−1.72726	+	0.997235i	−0.900785	+	0.434266i	$0.857008\pi$
$662$	6.01616	−	34.0273i	0.233825	−	1.32251i
$663$	−57.6584	+	99.8672i	−2.23927	+	3.87852i
$664$	−36.4278	−	21.0991i	−1.41367	−	0.818802i
$665$	1.07727	+	3.80929i	0.0417746	+	0.147718i
$666$	−10.4916	+	12.4916i	−0.406540	+	0.484040i
$667$	−0.380104	−	0.219453i	−0.0147177	−	0.00849727i
$668$	−0.384475	+	0.322008i	−0.0148758	+	0.0124588i
$669$	−22.0336	−	38.1633i	−0.851867	−	1.47548i
$670$	−4.51462	−	12.4217i	−0.174415	−	0.479891i
$671$	0.845211			0.0326290
$672$	−41.0541	+	19.7213i	−1.58370	+	0.760766i
$673$	−4.12641			−0.159062			−0.0795308	−	0.996832i	$-0.525342\pi$
$673$	−4.12641			−0.159062			−0.0795308	+	0.996832i	$0.525342\pi$
$674$	−5.53171	−	15.2201i	−0.213073	−	0.586258i
$675$	0.807080	+	1.39790i	0.0310645	+	0.0538053i
$676$	50.1934	−	42.0382i	1.93052	−	1.61685i
$677$	4.08075	+	2.35602i	0.156836	+	0.0905493i	0.576364	−	0.817193i	$-0.304471\pi$
$677$	4.08075	+	2.35602i	0.156836	+	0.0905493i	−0.419528	+	0.907742i	$0.637804\pi$
$678$	−26.2079	+	31.2041i	−1.00651	+	1.19838i
$679$	−13.7882	−	3.49129i	−0.529143	−	0.133983i
$680$	−31.1608	−	18.0484i	−1.19496	−	0.692125i
$681$	1.27036	−	2.20033i	0.0486802	−	0.0843167i
$682$	−0.570327	+	3.22576i	−0.0218390	+	0.123521i
$683$	31.8497	−	18.3884i	1.21870	−	0.703614i	0.254057	−	0.967189i	$-0.418235\pi$
$683$	31.8497	−	18.3884i	1.21870	−	0.703614i	0.964639	+	0.263575i	$0.0849016\pi$
$684$	7.74547	+	2.82724i	0.296156	+	0.108102i
$685$		−	24.5339i		−	0.937393i
$686$	−24.1709	−	10.0880i	−0.922849	−	0.385163i
$687$			57.7236i			2.20229i
$688$	6.84686	+	1.22035i	0.261034	+	0.0465255i
$689$	23.5600	−	13.6024i	0.897564	−	0.518209i
$690$	3.99040	+	0.705518i	0.151912	+	0.0268586i
$691$	12.2467	−	21.2119i	0.465887	−	0.806939i	−0.533354	−	0.845892i	$-0.679069\pi$
$691$	12.2467	−	21.2119i	0.465887	−	0.806939i	0.999241	+	0.0389525i	$0.0124021\pi$
$692$	42.4194	−	7.43923i	1.61254	−	0.282797i
$693$	16.0572	+	4.06581i	0.609962	+	0.154447i
$694$	14.8061	+	12.4355i	0.562034	+	0.472045i
$695$	30.9480	+	17.8678i	1.17392	+	0.677765i
$696$	0.0126489	−	9.11607i	0.000479456	−	0.345544i
$697$	33.0386	+	57.2245i	1.25143	+	2.16753i
$698$	−16.5558	+	6.01715i	−0.626646	+	0.227752i
$699$	−8.94252			−0.338237
$700$	−0.484624	+	0.711442i	−0.0183171	+	0.0268900i
$701$	40.4127			1.52637			0.763184	−	0.646181i	$-0.223635\pi$
$701$	40.4127			1.52637			0.763184	+	0.646181i	$0.223635\pi$
$702$	89.1901	−	32.4158i	3.36626	−	1.22346i
$703$	0.606650	+	1.05075i	0.0228802	+	0.0396298i
$704$	6.91708	+	4.01921i	0.260697	+	0.151480i
$705$	30.5896	+	17.6609i	1.15207	+	0.665149i
$706$	−30.3861	−	25.5210i	−1.14360	−	0.960494i
$707$	−8.05978	−	28.5000i	−0.303119	−	1.07185i
$708$	−7.89759	−	45.0330i	−0.296809	−	1.69244i
$709$	−3.81414	+	6.60628i	−0.143243	+	0.248104i	−0.928716	−	0.370792i	$-0.879086\pi$
$709$	−3.81414	+	6.60628i	−0.143243	+	0.248104i	0.785473	+	0.618896i	$0.212420\pi$
$710$	−3.86494	−	0.683336i	−0.145049	−	0.0256452i
$711$	−33.7354	+	19.4771i	−1.26518	+	0.730450i
$712$	−14.3100	−	24.8653i	−0.536290	−	0.931866i
$713$			0.959908i			0.0359488i
$714$	−58.1779	−	26.1896i	−2.17725	−	0.980123i
$715$		−	15.3662i		−	0.574664i
$716$	6.82534	−	18.6986i	0.255075	−	0.698801i
$717$	11.2871	−	6.51663i	0.421526	−	0.243368i
$718$	−4.42921	+	25.0515i	−0.165297	+	0.934915i
$719$	12.1358	−	21.0198i	0.452589	−	0.783908i	−0.545957	−	0.837813i	$-0.683834\pi$
$719$	12.1358	−	21.0198i	0.452589	−	0.783908i	0.998546	+	0.0539057i	$0.0171670\pi$
$720$	19.3620	+	53.5044i	0.721578	+	1.99399i
$721$	17.6427	+	17.1623i	0.657049	+	0.639156i
$722$	−16.8868	+	20.1061i	−0.628463	+	0.748270i
$723$	18.5903	+	10.7331i	0.691380	+	0.399168i
$724$	−14.6433	−	17.4840i	−0.544213	−	0.649788i
$725$	−0.0861484	−	0.149213i	−0.00319947	−	0.00554165i
$726$	−1.47005	−	4.04476i	−0.0545588	−	0.150115i
$727$	10.8184			0.401233			0.200616	−	0.979670i	$-0.435706\pi$
$727$	10.8184			0.401233			0.200616	+	0.979670i	$0.435706\pi$
$728$	36.2271	+	35.3385i	1.34267	+	1.30973i
$729$	−19.1319			−0.708590
$730$	−7.11588	−	19.5789i	−0.263371	−	0.724648i
$731$	4.87121	+	8.43718i	0.180168	+	0.312060i
$732$	3.30295	+	3.94371i	0.122081	+	0.145764i
$733$	−29.4591	−	17.0082i	−1.08810	−	0.628212i	−0.155027	−	0.987910i	$-0.549546\pi$
$733$	−29.4591	−	17.0082i	−1.08810	−	0.628212i	−0.933069	+	0.359698i	$0.882880\pi$
$734$	−16.8949	+	20.1157i	−0.623602	+	0.742483i
$735$	−23.0342	+	42.5686i	−0.849631	+	1.57017i
$736$	2.20101	+	0.806872i	0.0811304	+	0.0297417i
$737$	−2.05655	+	3.56205i	−0.0757539	+	0.131210i
$738$	18.1779	−	102.814i	0.669139	−	3.78464i
$739$	2.09006	−	1.20670i	0.0768840	−	0.0443890i	−0.461065	−	0.887366i	$-0.652533\pi$
$739$	2.09006	−	1.20670i	0.0768840	−	0.0443890i	0.537949	+	0.842977i	$0.319199\pi$
$740$	−2.87095	+	7.86522i	−0.105538	+	0.289131i
$741$		−	13.5523i		−	0.497856i
$742$	8.79689	+	12.2132i	0.322944	+	0.448360i
$743$			39.3561i			1.44383i	0.691980	+	0.721917i	$0.256739\pi$
$743$			39.3561i			1.44383i	−0.691980	+	0.721917i	$0.743261\pi$
$744$	−17.2800	+	9.94466i	−0.633515	+	0.364589i
$745$	7.28394	−	4.20539i	0.266863	−	0.154073i
$746$	33.5609	+	5.93370i	1.22875	+	0.217248i
$747$	−46.5897	+	80.6958i	−1.70463	+	2.95251i
$748$	1.93580	+	11.0381i	0.0707798	+	0.403595i
$749$	−18.2388	+	18.7494i	−0.666431	+	0.685088i
$750$	−36.2211	−	30.4217i	−1.32261	−	1.11084i
$751$	−40.9180	−	23.6240i	−1.49312	−	0.862053i	−0.493151	−	0.869944i	$-0.664155\pi$
$751$	−40.9180	−	23.6240i	−1.49312	−	0.862053i	−0.999969	+	0.00789103i	$0.997488\pi$
$752$	15.6288	+	13.1635i	0.569924	+	0.480022i
$753$	−39.3339	−	68.1283i	−1.43341	−	2.48273i
$754$	−9.52022	+	3.46009i	−0.346706	+	0.126009i
$755$	−19.8975			−0.724143
$756$	22.8001	+	47.2951i	0.829232	+	1.72011i
$757$	32.7028			1.18860			0.594301	−	0.804243i	$-0.297429\pi$
$757$	32.7028			1.18860			0.594301	+	0.804243i	$0.297429\pi$
$758$	13.3428	−	4.84941i	0.484634	−	0.176138i
$759$	−0.630547	−	1.09214i	−0.0228874	−	0.0396421i
$760$	4.23201	+	0.00587208i	0.153511	+	0.000213003i
$761$	−42.5693	−	24.5774i	−1.54314	−	0.890930i	−0.998638	−	0.0521678i	$-0.983387\pi$
$761$	−42.5693	−	24.5774i	−1.54314	−	0.890930i	−0.544498	−	0.838762i	$-0.683280\pi$
$762$	47.8894	+	40.2217i	1.73485	+	1.45708i
$763$	35.0068	−	9.89991i	1.26733	−	0.358401i
$764$	−45.7345	+	8.02060i	−1.65461	+	0.290175i
$765$	−39.8535	+	69.0282i	−1.44091	+	2.49572i
$766$	10.5839	+	1.87128i	0.382412	+	0.0676120i
$767$	−43.9966	+	25.4015i	−1.58863	+	0.917194i
$768$	8.27744	+	47.9812i	0.298686	+	1.73137i
$769$		−	22.9392i		−	0.827209i	−0.910457	−	0.413605i	$-0.864270\pi$
$769$		−	22.9392i		−	0.827209i	0.910457	−	0.413605i	$-0.135730\pi$
$770$	8.45863	−	0.853885i	0.304828	−	0.0307719i
$771$		−	15.8107i		−	0.569409i
$772$	−24.2033	−	8.83466i	−0.871098	−	0.317966i
$773$	−34.4672	+	19.8996i	−1.23970	+	0.715741i	−0.969033	−	0.246933i	$-0.920577\pi$
$773$	−34.4672	+	19.8996i	−1.23970	+	0.715741i	−0.270666	+	0.962673i	$0.587244\pi$
$774$	2.68015	−	15.1589i	0.0963361	−	0.544876i
$775$	−0.188410	+	0.326336i	−0.00676790	+	0.0117223i
$776$	−7.62097	+	13.1577i	−0.273577	+	0.472334i
$777$	−3.64129	+	14.3806i	−0.130631	+	0.515902i
$778$	12.6314	−	15.0394i	0.452858	−	0.539189i
$779$	−6.72516	−	3.88277i	−0.240954	−	0.139115i
$780$	71.6979	−	60.0488i	2.56720	−	2.15009i
$781$	0.610723	+	1.05780i	0.0218534	+	0.0378512i
$782$	1.12173	+	3.08636i	0.0401129	+	0.110368i
$783$	−10.5089			−0.375558
$784$	−17.4397	+	21.9057i	−0.622845	+	0.782345i
$785$	36.3686			1.29805
$786$	−15.2081	−	41.8442i	−0.542456	−	1.49253i
$787$	−14.6524	−	25.3786i	−0.522301	−	0.904651i	−0.999663	−	0.0259448i	$-0.991741\pi$
$787$	−14.6524	−	25.3786i	−0.522301	−	0.904651i	0.477363	−	0.878706i	$-0.341593\pi$
$788$	−14.7405	+	12.3456i	−0.525110	+	0.439792i
$789$	25.8963	+	14.9512i	0.921933	+	0.532278i
$790$	−12.8588	+	15.3101i	−0.457495	+	0.544710i
$791$	−6.14928	+	24.2855i	−0.218643	+	0.863492i
$792$	8.87506	−	15.3229i	0.315362	−	0.544476i
$793$	2.85802	−	4.95023i	0.101491	−	0.175788i
$794$	−2.18679	+	12.3684i	−0.0776061	+	0.438939i
$795$	24.0881	−	13.9073i	0.854316	−	0.493240i
$796$	37.4200	+	13.6590i	1.32632	+	0.484129i
$797$			6.35962i			0.225269i	0.993636	+	0.112635i	$0.0359290\pi$
$797$			6.35962i			0.225269i	−0.993636	+	0.112635i	$0.964071\pi$
$798$	7.46012	−	0.753087i	0.264085	−	0.0266590i
$799$			28.6241i			1.01265i
$800$	0.589897	+	0.706322i	0.0208560	+	0.0249723i
$801$	−54.9940	+	31.7508i	−1.94312	+	1.12186i
$802$	0.144306	+	0.0255138i	0.00509561	+	0.000900924i
$803$	−3.24151	+	5.61445i	−0.114390	+	0.198130i
$804$	−24.6570	+	4.32418i	−0.869585	+	0.152502i
$805$	2.39722	−	0.677933i	0.0844909	−	0.0238940i
$806$	16.9641	+	14.2479i	0.597535	+	0.501863i
$807$	−7.04738	−	4.06881i	−0.248080	−	0.143229i
$808$	−31.6626	−	0.0439332i	−1.11389	−	0.00154556i
$809$	6.28770	+	10.8906i	0.221064	+	0.382894i	0.955131	−	0.296183i	$-0.0957138\pi$
$809$	6.28770	+	10.8906i	0.221064	+	0.382894i	−0.734068	+	0.679076i	$0.762380\pi$
$810$	34.4679	−	12.5272i	1.21108	−	0.440162i
$811$	6.55772			0.230273			0.115136	−	0.993350i	$-0.463269\pi$
$811$	6.55772			0.230273			0.115136	+	0.993350i	$0.463269\pi$
$812$	−2.43370	−	5.04832i	−0.0854062	−	0.177161i
$813$	−23.5058			−0.824385
$814$	2.44894	−	0.890058i	0.0858353	−	0.0311965i
$815$	1.84841	+	3.20154i	0.0647470	+	0.112145i
$816$	−43.9386	+	52.1677i	−1.53816	+	1.82623i
$817$	−0.991556	−	0.572475i	−0.0346902	−	0.0200284i
$818$	19.3586	+	16.2590i	0.676856	+	0.568483i
$819$	78.1087	−	80.2954i	2.72934	−	2.80575i
$820$	−9.25680	−	52.7834i	−0.323261	−	1.84328i
$821$	−12.5280	+	21.6991i	−0.437229	+	0.757303i	−0.997475	−	0.0710238i	$-0.977373\pi$
$821$	−12.5280	+	21.6991i	−0.437229	+	0.757303i	0.560246	+	0.828326i	$0.310707\pi$
$822$	−45.7593	−	8.09043i	−1.59604	−	0.282186i
$823$	31.5699	−	18.2269i	1.10046	−	0.635350i	0.164117	−	0.986441i	$-0.447523\pi$
$823$	31.5699	−	18.2269i	1.10046	−	0.635350i	0.936341	+	0.351091i	$0.114189\pi$
$824$	22.8056	−	13.1247i	0.794471	−	0.457220i
$825$		−	0.495054i		−	0.0172356i
$826$	−16.4276	−	22.8073i	−0.571589	−	0.793566i
$827$		−	31.6944i		−	1.10212i	−0.834465	−	0.551061i	$-0.814223\pi$
$827$		−	31.6944i		−	1.10212i	0.834465	−	0.551061i	$-0.185777\pi$
$828$	1.77921	−	4.87430i	0.0618317	−	0.169394i
$829$	−11.4367	+	6.60298i	−0.397213	+	0.229331i	−0.685281	−	0.728279i	$-0.740320\pi$
$829$	−11.4367	+	6.60298i	−0.397213	+	0.229331i	0.288068	+	0.957610i	$0.406987\pi$
$830$	−8.32658	+	47.0950i	−0.289020	+	1.63469i
$831$	32.4390	−	56.1860i	1.12530	−	1.94907i
$832$	46.9292	−	26.9212i	1.62698	−	0.933326i
$833$	−39.2082	+	1.08270i	−1.35848	+	0.0375135i
$834$	43.5316	−	51.8303i	1.50738	−	1.79474i
$835$	0.493419	+	0.284876i	0.0170755	+	0.00985853i
$836$	−0.845634	−	1.00968i	−0.0292469	−	0.0349206i
$837$	11.4917	+	19.9042i	0.397212	+	0.687991i
$838$	−3.18072	−	8.75154i	−0.109876	−	0.302317i
$839$	9.68709			0.334435			0.167218	−	0.985920i	$-0.446522\pi$
$839$	9.68709			0.334435			0.167218	+	0.985920i	$0.446522\pi$
$840$	37.0392	+	36.1307i	1.27797	+	1.24663i
$841$	−27.8783			−0.961320
$842$	−5.37960	−	14.8016i	−0.185393	−	0.510098i
$843$	−8.15222	−	14.1201i	−0.280777	−	0.486321i
$844$	−17.9522	−	21.4349i	−0.617942	−	0.737819i
$845$	−64.4161	−	37.1906i	−2.21598	−	1.27940i
$846$	29.0886	−	34.6339i	1.00009	−	1.19074i
$847$	−1.89647	−	1.84483i	−0.0651636	−	0.0633890i
$848$	15.1305	−	5.47536i	0.519583	−	0.188025i
$849$	−4.51629	+	7.82244i	−0.154999	+	0.268465i
$850$	−0.224440	+	1.26943i	−0.00769823	+	0.0435410i
$851$	0.661246	−	0.381771i	0.0226672	−	0.0130869i
$852$	−2.54904	+	6.98333i	−0.0873287	+	0.239245i
$853$		−	41.7711i		−	1.43022i	−0.699014	−	0.715108i	$-0.746378\pi$
$853$		−	41.7711i		−	1.43022i	0.699014	−	0.715108i	$-0.253622\pi$
$854$	2.88377	+	1.29817i	0.0986804	+	0.0444225i
$855$		−	9.36734i		−	0.320356i
$856$	13.9479	+	24.2361i	0.476731	+	0.828374i
$857$	−4.12987	+	2.38438i	−0.141074	+	0.0814490i	−0.568876	−	0.822424i	$-0.692621\pi$
$857$	−4.12987	+	2.38438i	−0.141074	+	0.0814490i	0.427802	+	0.903873i	$0.359288\pi$
$858$	−28.6602	−	5.06724i	−0.978443	−	0.172993i
$859$	14.2552	−	24.6908i	0.486382	−	0.842438i	−0.513496	−	0.858092i	$-0.671650\pi$
$859$	14.2552	−	24.6908i	0.486382	−	0.842438i	0.999877	+	0.0156542i	$0.00498309\pi$
$860$	−1.36482	−	7.78237i	−0.0465400	−	0.265377i
$861$	−25.8373	−	91.3626i	−0.880533	−	3.11363i
$862$	4.93616	+	4.14582i	0.168126	+	0.141207i
$863$	−3.61493	−	2.08708i	−0.123054	−	0.0710450i	0.437210	−	0.899360i	$-0.355967\pi$
$863$	−3.61493	−	2.08708i	−0.123054	−	0.0710450i	−0.560263	+	0.828315i	$0.689300\pi$
$864$	55.2988	−	9.61887i	1.88130	−	0.327241i
$865$	−24.4636	−	42.3721i	−0.831786	−	1.44070i
$866$	−0.0576190	+	0.0209414i	−0.00195797	+	0.000711619i
$867$	−43.8118			−1.48793
$868$	−6.90038	+	10.1300i	−0.234214	+	0.343833i
$869$	6.22215			0.211072
$870$	−9.73362	+	3.53765i	−0.330001	+	0.119938i
$871$	13.9081	+	24.0896i	0.471258	+	0.816243i
$872$	0.0539635	−	38.8915i	0.00182744	−	1.31703i
$873$	29.1473	+	16.8282i	0.986486	+	0.569548i
$874$	−0.295524	−	0.248207i	−0.00999626	−	0.00839574i
$875$	−28.1901	−	7.13797i	−0.953001	−	0.241308i
$876$	−38.8640	+	6.81572i	−1.31309	+	0.230282i
$877$	17.9176	−	31.0341i	0.605033	−	1.04795i	−0.387013	−	0.922074i	$-0.626493\pi$
$877$	17.9176	−	31.0341i	0.605033	−	1.04795i	0.992046	−	0.125874i	$-0.0401735\pi$
$878$	30.1772	+	5.33545i	1.01843	+	0.180063i
$879$	27.2778	−	15.7489i	0.920059	−	0.531196i
$880$	1.59478	−	8.94760i	0.0537599	−	0.301624i
$881$		−	4.18013i		−	0.140832i	−0.997518	−	0.0704161i	$-0.977567\pi$
$881$		−	4.18013i		−	0.140832i	0.997518	−	0.0704161i	$-0.0224327\pi$
$882$	48.5405	+	38.5345i	1.63445	+	1.29752i
$883$			50.1848i			1.68885i	0.535671	+	0.844427i	$0.320059\pi$
$883$			50.1848i			1.68885i	−0.535671	+	0.844427i	$0.679941\pi$
$884$	71.1939	+	25.9871i	2.39451	+	0.874040i
$885$	−44.9828	+	25.9709i	−1.51208	+	0.873001i
$886$	−2.22721	+	12.5971i	−0.0748247	+	0.423207i
$887$	27.8855	−	48.2990i	0.936302	−	1.62172i	0.164007	−	0.986459i	$-0.447558\pi$
$887$	27.8855	−	48.2990i	0.936302	−	1.62172i	0.772295	−	0.635264i	$-0.219109\pi$
$888$	13.7230	+	7.94841i	0.460515	+	0.266731i
$889$	37.2713	+	9.43740i	1.25004	+	0.316520i
$890$	−20.9619	+	24.9579i	−0.702643	+	0.836591i
$891$	−9.88403	−	5.70654i	−0.331127	−	0.191176i
$892$	−22.2032	+	18.5958i	−0.743420	+	0.622632i
$893$	−1.68198	−	2.91328i	−0.0562854	−	0.0974892i
$894$	−5.44166	−	14.9724i	−0.181996	−	0.500752i
$895$	−22.6140			−0.755904
$896$	17.4271	+	24.3371i	0.582199	+	0.813046i
$897$	−8.52858			−0.284761
$898$	−0.360098	−	0.990786i	−0.0120166	−	0.0330630i
$899$	−1.22663	−	2.12459i	−0.0409106	−	0.0708592i
$900$	1.56159	−	1.30787i	0.0520531	−	0.0435958i
$901$	19.5205	+	11.2701i	0.650321	+	0.375463i
$902$	−10.7258	+	12.7705i	−0.357130	+	0.425211i
$903$	−3.80945	−	13.4705i	−0.126771	−	0.448270i
$904$	23.1750	+	13.4230i	0.770787	+	0.446441i
$905$	−12.9547	+	22.4382i	−0.430629	+	0.745872i
$906$	−6.56148	+	37.1116i	−0.217991	+	1.23295i
$907$	−24.3480	+	14.0573i	−0.808462	+	0.466766i	−0.846421	−	0.532514i	$-0.821247\pi$
$907$	−24.3480	+	14.0573i	−0.808462	+	0.466766i	0.0379598	+	0.999279i	$0.487914\pi$
$908$	−1.56858	−	0.572560i	−0.0520552	−	0.0190011i
$909$			70.0837i			2.32453i
$910$	23.6012	−	52.4278i	0.782371	−	1.73796i
$911$		−	1.70636i		−	0.0565344i	−0.999600	−	0.0282672i	$-0.991001\pi$
$911$		−	1.70636i		−	0.0565344i	0.999600	−	0.0282672i	$-0.00899892\pi$
$912$	1.40652	−	7.89137i	0.0465745	−	0.261309i
$913$	12.8895	−	7.44177i	0.426581	−	0.246287i
$914$	33.3536	+	5.89705i	1.10324	+	0.195057i
$915$	2.92208	−	5.06119i	0.0966009	−	0.167318i
$916$	37.3669	−	6.55316i	1.23464	−	0.216522i
$917$	−19.6196	−	19.0853i	−0.647895	−	0.630251i
$918$	60.2085	+	50.5684i	1.98718	+	1.66901i
$919$	−5.96570	−	3.44430i	−0.196790	−	0.113617i	0.398367	−	0.917226i	$-0.369577\pi$
$919$	−5.96570	−	3.44430i	−0.196790	−	0.113617i	−0.595157	+	0.803609i	$0.702910\pi$
$920$	0.00369535	−	2.66324i	0.000121832	−	0.0878045i
$921$	43.4777	+	75.3056i	1.43264	+	2.48140i
$922$	−8.63378	+	3.13792i	−0.284338	+	0.103342i
$923$	8.26044			0.271896
$924$	1.19674	−	16.0581i	0.0393698	−	0.528274i
$925$	0.299735			0.00985522
$926$	−2.46740	+	0.896766i	−0.0810836	+	0.0294696i
$927$	−29.1208	−	50.4387i	−0.956452	−	1.65662i
$928$	−5.90264	+	1.02673i	−0.193764	+	0.0337039i
$929$	36.7804	+	21.2352i	1.20673	+	0.696704i	0.962043	−	0.272899i	$-0.0879824\pi$
$929$	36.7804	+	21.2352i	1.20673	+	0.696704i	0.244684	+	0.969603i	$0.421316\pi$
$930$	17.3444	+	14.5673i	0.568744	+	0.477681i
$931$	3.92688	−	2.41411i	0.128698	−	0.0791193i
$932$	1.01521	+	5.78886i	0.0332544	+	0.189620i
$933$	16.2195	−	28.0931i	0.531004	−	0.919726i
$934$	−45.2206	−	7.99518i	−1.47966	−	0.261610i
$935$	11.0259	−	6.36578i	0.360584	−	0.208183i
$936$	−59.7328	−	103.793i	−1.95243	−	3.39257i
$937$			15.0599i			0.491985i	0.969272	+	0.245992i	$0.0791138\pi$
$937$			15.0599i			0.491985i	−0.969272	+	0.245992i	$0.920886\pi$
$938$	−12.4877	+	8.99462i	−0.407738	+	0.293685i
$939$			28.0082i			0.914014i
$940$	7.95992	−	21.8069i	0.259624	−	0.711263i
$941$	21.6026	−	12.4723i	0.704224	−	0.406584i	−0.104695	−	0.994504i	$-0.533387\pi$
$941$	21.6026	−	12.4723i	0.704224	−	0.406584i	0.808919	+	0.587921i	$0.200053\pi$
$942$	11.9931	−	67.8326i	0.390755	−	2.21011i
$943$	−2.44346	+	4.23220i	−0.0795701	+	0.137819i
$944$	−28.2551	+	10.2249i	−0.919626	+	0.332791i
$945$	41.5917	−	42.7561i	1.35298	−	1.39086i
$946$	−1.58141	+	1.88288i	−0.0514160	+	0.0612177i
$947$	−43.1311	−	24.9018i	−1.40157	−	0.809198i	−0.407018	−	0.913420i	$-0.633431\pi$
$947$	−43.1311	−	24.9018i	−1.40157	−	0.809198i	−0.994554	+	0.104222i	$0.966765\pi$
$948$	24.3152	+	29.0322i	0.789721	+	0.942923i
$949$	21.9218	+	37.9697i	0.711612	+	1.23255i
$950$	−0.0517502	−	0.142387i	−0.00167900	−	0.00461965i
$951$	36.3480			1.17867
$952$	−10.3489	+	40.6341i	−0.335410	+	1.31696i
$953$	31.8069			1.03033			0.515164	−	0.857092i	$-0.327731\pi$
$953$	31.8069			1.03033			0.515164	+	0.857092i	$0.327731\pi$
$954$	−12.1659	−	33.4737i	−0.393885	−	1.08375i
$955$	26.3754	+	45.6835i	0.853488	+	1.47828i
$956$	−5.49987	−	6.56681i	−0.177878	−	0.212386i
$957$	2.79122	+	1.61151i	0.0902272	+	0.0520927i
$958$	−19.4697	+	23.1813i	−0.629037	+	0.748953i
$959$	−27.4898	+	7.77411i	−0.887692	+	0.251039i
$960$	47.9812	−	27.5247i	1.54859	−	0.888355i
$961$	12.8173	−	22.2002i	0.413461	−	0.716136i
$962$	3.06801	−	17.3526i	0.0989165	−	0.559470i
$963$	53.6025	−	30.9474i	1.72732	−	0.997267i
$964$	4.83749	−	13.2527i	0.155805	−	0.426842i
$965$			29.2714i			0.942280i
$966$	−0.473924	−	4.69472i	−0.0152483	−	0.151050i
$967$		−	24.1375i		−	0.776208i	−0.921616	−	0.388104i	$-0.873130\pi$
$967$		−	24.1375i		−	0.776208i	0.921616	−	0.388104i	$-0.126870\pi$
$968$	−2.45145	+	1.41081i	−0.0787926	+	0.0453453i
$969$	9.72430	−	5.61432i	0.312389	−	0.180358i
$970$	17.0107	+	3.00755i	0.546180	+	0.0965667i
$971$	1.61235	−	2.79267i	0.0517427	−	0.0896210i	−0.838994	−	0.544141i	$-0.816856\pi$
$971$	1.61235	−	2.79267i	0.0517427	−	0.0896210i	0.890737	+	0.454520i	$0.150189\pi$
$972$	−1.71508	−	9.77959i	−0.0550112	−	0.313681i
$973$	10.2140	−	40.3384i	0.327446	−	1.29319i
$974$	20.5432	+	17.2540i	0.658246	+	0.552853i
$975$	−2.89943	−	1.67398i	−0.0928559	−	0.0536104i
$976$	2.17795	−	2.58585i	0.0697146	−	0.0827711i
$977$	−3.23860	−	5.60941i	−0.103612	−	0.179461i	0.809558	−	0.587039i	$-0.199707\pi$
$977$	−3.23860	−	5.60941i	−0.103612	−	0.179461i	−0.913170	+	0.407578i	$0.866373\pi$
$978$	6.58087	−	2.39180i	0.210433	−	0.0764812i
$979$	10.1431			0.324175
$980$	30.1714	+	10.0784i	0.963789	+	0.321941i
$981$	−86.0844			−2.74846
$982$	19.3040	−	7.01597i	0.616015	−	0.223888i
$983$	−6.33073	−	10.9651i	−0.201919	−	0.349734i	0.747228	−	0.664568i	$-0.231384\pi$
$983$	−6.33073	−	10.9651i	−0.201919	−	0.349734i	−0.949147	+	0.314834i	$0.898051\pi$
$984$	−101.501	−	0.140837i	−3.23574	−	0.00448972i
$985$	18.9174	+	10.9219i	0.602757	+	0.348002i
$986$	−6.42671	−	5.39771i	−0.204668	−	0.171898i
$987$	10.0958	−	39.8714i	0.321351	−	1.26912i
$988$	−8.77295	+	1.53854i	−0.279105	+	0.0489475i
$989$	−0.360264	+	0.623995i	−0.0114557	+	0.0198419i
$990$	−19.8099	−	3.50247i	−0.629601	−	0.111316i
$991$	−52.6476	+	30.3961i	−1.67241	+	0.965565i	−0.706122	+	0.708090i	$0.749557\pi$
$991$	−52.6476	+	30.3961i	−1.67241	+	0.965565i	−0.966285	+	0.257475i	$0.917110\pi$
$992$	8.39932	+	10.0571i	0.266679	+	0.319312i
$993$			74.3559i			2.35961i
$994$	0.459024	+	4.54712i	0.0145594	+	0.144226i
$995$		−	45.2555i		−	1.43470i
$996$	85.0931	+	31.0605i	2.69628	+	0.984191i
$997$	−36.1198	+	20.8538i	−1.14393	+	0.660446i	−0.947400	−	0.320052i	$-0.896300\pi$
$997$	−36.1198	+	20.8538i	−1.14393	+	0.660446i	−0.196527	+	0.980499i	$0.562966\pi$
$998$	5.47579	−	30.9710i	0.173333	−	0.980369i
$999$	9.14087	−	15.8324i	0.289204	−	0.500917i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	308.2.l.a.243.26	yes	80
4.3	odd	2	inner	308.2.l.a.243.3	yes	80
7.3	odd	6	inner	308.2.l.a.199.3	✓	80
28.3	even	6	inner	308.2.l.a.199.26	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
308.2.l.a.199.3	✓	80	7.3	odd	6	inner
308.2.l.a.199.26	yes	80	28.3	even	6	inner
308.2.l.a.243.3	yes	80	4.3	odd	2	inner
308.2.l.a.243.26	yes	80	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 308 = 2^{2} \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	308.l (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.483075 + 1.32915i) q^{2} +(-1.52156 - 2.63542i) q^{3} +(-1.53328 + 1.28416i) q^{4} +(1.96774 + 1.13608i) q^{5} +(2.76784 - 3.29549i) q^{6} +(0.649430 - 2.56481i) q^{7} +(-2.44753 - 1.41761i) q^{8} +(-3.13029 + 5.42182i) q^{9} +(-0.559449 + 3.16423i) q^{10} +(0.866025 - 0.500000i) q^{11} +(5.71727 + 2.08691i) q^{12} -6.76284i q^{13} +(3.72274 - 0.375804i) q^{14} -6.91443i q^{15} +(0.701879 - 3.93794i) q^{16} +(4.85260 - 2.80165i) q^{17} +(-8.71857 - 1.54148i) q^{18} +(-0.329256 + 0.570289i) q^{19} +(-4.47600 + 0.784970i) q^{20} +(-7.74749 + 2.19099i) q^{21} +(1.08293 + 0.909540i) q^{22} +(0.358888 + 0.207204i) q^{23} +(-0.0119429 + 8.60723i) q^{24} +(0.0813398 + 0.140885i) q^{25} +(8.98883 - 3.26696i) q^{26} +9.92232 q^{27} +(2.29786 + 4.76653i) q^{28} -1.05912 q^{29} +(9.19032 - 3.34019i) q^{30} +(1.15817 + 2.00600i) q^{31} +(5.57317 - 0.969417i) q^{32} +(-2.63542 - 1.52156i) q^{33} +(6.06799 + 5.09643i) q^{34} +(4.19173 - 4.30908i) q^{35} +(-2.16287 - 12.3329i) q^{36} +(0.921243 - 1.59564i) q^{37} +(-0.917055 - 0.162139i) q^{38} +(-17.8229 + 10.2901i) q^{39} +(-3.20558 - 5.57007i) q^{40} +11.7925i q^{41} +(-6.65477 - 9.23916i) q^{42} +1.73869i q^{43} +(-0.685778 + 1.87875i) q^{44} +(-12.3192 + 7.11249i) q^{45} +(-0.102035 + 0.577111i) q^{46} +(-2.55421 + 4.42403i) q^{47} +(-11.4461 + 4.14206i) q^{48} +(-6.15648 - 3.33133i) q^{49} +(-0.147964 + 0.176171i) q^{50} +(-14.7671 - 8.52576i) q^{51} +(8.68455 + 10.3693i) q^{52} +(2.01134 + 3.48374i) q^{53} +(4.79323 + 13.1883i) q^{54} +2.27215 q^{55} +(-5.22540 + 5.35679i) q^{56} +2.00393 q^{57} +(-0.511633 - 1.40773i) q^{58} +(-3.75604 - 6.50564i) q^{59} +(8.87922 + 10.6017i) q^{60} +(0.731974 + 0.422606i) q^{61} +(-2.10680 + 2.50843i) q^{62} +(11.8730 + 11.5497i) q^{63} +(3.98076 + 6.93928i) q^{64} +(7.68311 - 13.3075i) q^{65} +(0.749276 - 4.23789i) q^{66} +(-3.56205 + 2.05655i) q^{67} +(-3.84263 + 10.5272i) q^{68} -1.26109i q^{69} +(7.75233 + 3.48983i) q^{70} +1.22145i q^{71} +(15.3475 - 8.83251i) q^{72} +(-5.61445 + 3.24151i) q^{73} +(2.56587 + 0.453656i) q^{74} +(0.247527 - 0.428729i) q^{75} +(-0.227499 - 1.29723i) q^{76} +(-0.719981 - 2.54590i) q^{77} +(-22.2868 - 18.7185i) q^{78} +(5.38854 + 3.11108i) q^{79} +(5.85492 - 6.95146i) q^{80} +(-5.70654 - 9.88403i) q^{81} +(-15.6741 + 5.69668i) q^{82} +14.8835 q^{83} +(9.06548 - 13.3084i) q^{84} +12.7316 q^{85} +(-2.31098 + 0.839918i) q^{86} +(1.61151 + 2.79122i) q^{87} +(-2.82842 - 0.00392455i) q^{88} +(8.78417 + 5.07155i) q^{89} +(-15.4047 - 12.9382i) q^{90} +(-17.3454 - 4.39199i) q^{91} +(-0.816358 + 0.143167i) q^{92} +(3.52444 - 6.10451i) q^{93} +(-7.11407 - 1.25780i) q^{94} +(-1.29578 + 0.748121i) q^{95} +(-11.0347 - 13.2126i) q^{96} -5.37592i q^{97} +(1.45379 - 9.79216i) q^{98} +6.26058i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 12 q^{8} - 40 q^{9} - 18 q^{10} - 30 q^{12} - 4 q^{14} - 4 q^{16} - 10 q^{18} - 8 q^{21} + 40 q^{25} + 30 q^{26} + 16 q^{28} - 16 q^{29} + 36 q^{30} - 20 q^{32} - 20 q^{36} - 8 q^{37} - 12 q^{38}+ \cdots + 78 q^{98}+O(q^{100}) \) 80 * q + 12 * q^8 - 40 * q^9 - 18 * q^10 - 30 * q^12 - 4 * q^14 - 4 * q^16 - 10 * q^18 - 8 * q^21 + 40 * q^25 + 30 * q^26 + 16 * q^28 - 16 * q^29 + 36 * q^30 - 20 * q^32 - 20 * q^36 - 8 * q^37 - 12 * q^38 - 60 * q^40 + 4 * q^44 + 24 * q^45 - 10 * q^46 - 24 * q^49 - 64 * q^50 + 54 * q^52 - 30 * q^54 + 38 * q^56 + 80 * q^57 + 10 * q^58 - 12 * q^60 - 36 * q^64 - 16 * q^65 + 30 * q^66 + 60 * q^68 - 22 * q^70 - 38 * q^72 - 72 * q^73 + 28 * q^74 - 24 * q^78 + 42 * q^80 - 64 * q^81 - 90 * q^82 + 88 * q^84 - 2 * q^86 + 12 * q^88 - 120 * q^89 + 36 * q^92 + 8 * q^93 - 54 * q^94 - 42 * q^96 + 78 * q^98

Introduction

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