LMFDB - Embedded newform 185.2.p.a.103.11

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [185,2,Mod(82,185)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(185, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([3, 1])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("185.82"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$N$	$=$	$185 = 5 \cdot 37$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	185.p (of order $12$ , degree $4$ , minimal)

Newform invariants

comment:select newform

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

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

Self dual:	no
Analytic conductor:	$1.47723243739$
Analytic rank:	$0$
Dimension:	$68$
Relative dimension:	$17$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			103.11
Character	$\chi$	$=$	185.103
Dual form			185.2.p.a.97.11

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.194410 + 0.336728i) q^{2} +(-0.791682 - 2.95460i) q^{3} +(0.924410 - 1.60112i) q^{4} +(-2.19525 - 0.425311i) q^{5} +(0.840985 - 0.840985i) q^{6} +(0.815208 + 3.04240i) q^{7} +1.49650 q^{8} +(-5.50482 + 3.17821i) q^{9} +(-0.283564 - 0.821885i) q^{10} -5.40976i q^{11} +(-5.46252 - 1.46368i) q^{12} +(-0.245112 + 0.424546i) q^{13} +(-0.865975 + 0.865975i) q^{14} +(0.481317 + 6.82279i) q^{15} +(-1.55789 - 2.69834i) q^{16} +(-1.66238 + 0.959776i) q^{17} +(-2.14038 - 1.23575i) q^{18} +(3.33608 - 0.893901i) q^{19} +(-2.71028 + 3.12170i) q^{20} +(8.34368 - 4.81723i) q^{21} +(1.82162 - 1.05171i) q^{22} +2.76865 q^{23} +(-1.18475 - 4.42155i) q^{24} +(4.63822 + 1.86732i) q^{25} -0.190608 q^{26} +(7.25964 + 7.25964i) q^{27} +(5.62484 + 1.50717i) q^{28} +(5.54567 - 5.54567i) q^{29} +(-2.20385 + 1.48849i) q^{30} +(1.40152 + 1.40152i) q^{31} +(2.10223 - 3.64118i) q^{32} +(-15.9837 + 4.28281i) q^{33} +(-0.646366 - 0.373180i) q^{34} +(-0.495619 - 7.02553i) q^{35} +11.7519i q^{36} +(-2.30414 + 5.62947i) q^{37} +(0.949569 + 0.949569i) q^{38} +(1.44841 + 0.388101i) q^{39} +(-3.28518 - 0.636476i) q^{40} +(-1.77472 - 1.02463i) q^{41} +(3.24419 + 1.87303i) q^{42} +4.07381 q^{43} +(-8.66170 - 5.00084i) q^{44} +(13.4362 - 4.63569i) q^{45} +(0.538252 + 0.932280i) q^{46} +(1.75880 - 1.75880i) q^{47} +(-6.73915 + 6.73915i) q^{48} +(-2.52944 + 1.46037i) q^{49} +(0.272936 + 1.92484i) q^{50} +(4.15183 + 4.15183i) q^{51} +(0.453167 + 0.784908i) q^{52} +(2.65699 - 9.91602i) q^{53} +(-1.03318 + 3.85587i) q^{54} +(-2.30083 + 11.8758i) q^{55} +(1.21996 + 4.55294i) q^{56} +(-5.28224 - 9.14910i) q^{57} +(2.94551 + 0.789248i) q^{58} +(-3.54546 + 13.2318i) q^{59} +(11.3691 + 5.53640i) q^{60} +(1.33066 - 0.356550i) q^{61} +(-0.199461 + 0.744399i) q^{62} +(-14.1569 - 14.1569i) q^{63} -4.59676 q^{64} +(0.718644 - 0.827734i) q^{65} +(-4.54953 - 4.54953i) q^{66} +(-7.45279 + 1.99697i) q^{67} +3.54890i q^{68} +(-2.19189 - 8.18024i) q^{69} +(2.26934 - 1.53272i) q^{70} +(-4.08391 + 7.07355i) q^{71} +(-8.23794 + 4.75618i) q^{72} +(0.148203 - 0.148203i) q^{73} +(-2.34355 + 0.318555i) q^{74} +(1.84519 - 15.1824i) q^{75} +(1.65266 - 6.16781i) q^{76} +(16.4586 - 4.41008i) q^{77} +(0.150901 + 0.563171i) q^{78} +(14.2072 - 3.80679i) q^{79} +(2.27231 + 6.58610i) q^{80} +(6.16738 - 10.6822i) q^{81} -0.796795i q^{82} +(-4.15466 + 15.5054i) q^{83} -17.8124i q^{84} +(4.05754 - 1.39992i) q^{85} +(0.791990 + 1.37177i) q^{86} +(-20.7756 - 11.9948i) q^{87} -8.09569i q^{88} +(2.74139 + 0.734553i) q^{89} +(4.17309 + 3.62310i) q^{90} +(-1.49145 - 0.399634i) q^{91} +(2.55936 - 4.43295i) q^{92} +(3.03137 - 5.25048i) q^{93} +(0.934165 + 0.250309i) q^{94} +(-7.70371 + 0.543462i) q^{95} +(-12.4225 - 3.32860i) q^{96} -2.02493i q^{97} +(-0.983497 - 0.567822i) q^{98} +(17.1933 + 29.7797i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$68 q - 4 q^{2} - 8 q^{3} - 30 q^{4} - 10 q^{5} - 8 q^{6} - 2 q^{7} + 12 q^{8} - 6 q^{10} + 14 q^{12} - 6 q^{13} - 8 q^{15} - 26 q^{16} + 12 q^{17} + 18 q^{18} + 4 q^{19} + 48 q^{20} - 12 q^{21} + 6 q^{22}+ \cdots + 32 q^{99}+O(q^{100})$ 68 * q - 4 * q^2 - 8 * q^3 - 30 * q^4 - 10 * q^5 - 8 * q^6 - 2 * q^7 + 12 * q^8 - 6 * q^10 + 14 * q^12 - 6 * q^13 - 8 * q^15 - 26 * q^16 + 12 * q^17 + 18 * q^18 + 4 * q^19 + 48 * q^20 - 12 * q^21 + 6 * q^22 - 12 * q^23 + 10 * q^25 - 24 * q^26 - 68 * q^27 - 26 * q^28 + 14 * q^29 + 10 * q^30 - 24 * q^31 - 16 * q^32 - 2 * q^33 - 10 * q^35 - 16 * q^37 - 36 * q^38 + 52 * q^39 + 42 * q^40 - 18 * q^41 + 132 * q^42 + 8 * q^43 - 36 * q^44 - 32 * q^45 - 52 * q^46 - 24 * q^47 - 60 * q^48 - 36 * q^49 - 8 * q^50 - 8 * q^51 - 26 * q^52 + 82 * q^53 + 40 * q^54 + 18 * q^55 + 16 * q^56 - 6 * q^57 + 86 * q^58 - 8 * q^59 + 36 * q^60 + 4 * q^61 + 10 * q^62 - 48 * q^63 - 20 * q^64 + 8 * q^65 + 80 * q^66 - 40 * q^67 + 8 * q^69 - 82 * q^70 + 4 * q^71 - 90 * q^72 - 60 * q^73 - 44 * q^74 + 64 * q^75 + 72 * q^76 + 66 * q^77 - 24 * q^78 + 56 * q^79 + 34 * q^80 - 6 * q^81 + 24 * q^83 - 20 * q^85 - 4 * q^86 - 84 * q^87 - 22 * q^89 - 50 * q^90 + 44 * q^91 + 44 * q^92 - 34 * q^93 - 20 * q^94 - 28 * q^95 - 8 * q^96 + 42 * q^98 + 32 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/185\mathbb{Z}\right)^\times$ .

$n$	$76$	$112$
$\chi(n)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	0.194410	+	0.336728i	0.137469	+	0.238102i	0.926538	−	0.376202i	$-0.122770\pi$
$2$	0.194410	+	0.336728i	0.137469	+	0.238102i	−0.789069	+	0.614304i	$0.789437\pi$
$3$	−0.791682	−	2.95460i	−0.457078	−	1.70584i	−0.681906	−	0.731440i	$-0.738849\pi$
$3$	−0.791682	−	2.95460i	−0.457078	−	1.70584i	0.224828	−	0.974398i	$-0.427818\pi$
$4$	0.924410	−	1.60112i	0.462205	−	0.800562i
$5$	−2.19525	−	0.425311i	−0.981744	−	0.190205i
$5$	−2.19525	−	0.425311i	−0.981744	−	0.190205i
$6$	0.840985	−	0.840985i	0.343330	−	0.343330i
$7$	0.815208	+	3.04240i	0.308120	+	1.14992i	0.930227	+	0.366986i	$0.119610\pi$
$7$	0.815208	+	3.04240i	0.308120	+	1.14992i	−0.622107	+	0.782932i	$0.713723\pi$
$8$	1.49650			0.529092
$9$	−5.50482	+	3.17821i	−1.83494	+	1.05940i
$10$	−0.283564	−	0.821885i	−0.0896708	−	0.259903i
$11$		−	5.40976i		−	1.63110i	−0.578683	−	0.815552i	$-0.696433\pi$
$11$		−	5.40976i		−	1.63110i	0.578683	−	0.815552i	$-0.303567\pi$
$12$	−5.46252	−	1.46368i	−1.57689	−	0.422527i
$13$	−0.245112	+	0.424546i	−0.0679817	+	0.117748i	−0.898013	−	0.439969i	$-0.854989\pi$
$13$	−0.245112	+	0.424546i	−0.0679817	+	0.117748i	0.830031	+	0.557717i	$0.188323\pi$
$14$	−0.865975	+	0.865975i	−0.231442	+	0.231442i
$15$	0.481317	+	6.82279i	0.124275	+	1.76164i
$16$	−1.55789	−	2.69834i	−0.389471	−	0.674584i
$17$	−1.66238	+	0.959776i	−0.403186	+	0.232780i	−0.687858	−	0.725845i	$-0.741449\pi$
$17$	−1.66238	+	0.959776i	−0.403186	+	0.232780i	0.284672	+	0.958625i	$0.408115\pi$
$18$	−2.14038	−	1.23575i	−0.504493	−	0.291269i
$19$	3.33608	−	0.893901i	0.765350	−	0.205075i	0.145034	−	0.989427i	$-0.453671\pi$
$19$	3.33608	−	0.893901i	0.765350	−	0.205075i	0.620316	+	0.784352i	$0.287004\pi$
$20$	−2.71028	+	3.12170i	−0.606038	+	0.698034i
$21$	8.34368	−	4.81723i	1.82074	−	1.05120i
$22$	1.82162	−	1.05171i	0.388370	−	0.224226i
$23$	2.76865			0.577303			0.288651	−	0.957434i	$-0.406793\pi$
$23$	2.76865			0.577303			0.288651	+	0.957434i	$0.406793\pi$
$24$	−1.18475	−	4.42155i	−0.241836	−	0.902545i
$25$	4.63822	+	1.86732i	0.927644	+	0.373465i
$26$	−0.190608			−0.0373814
$27$	7.25964	+	7.25964i	1.39712	+	1.39712i
$28$	5.62484	+	1.50717i	1.06300	+	0.284829i
$29$	5.54567	−	5.54567i	1.02981	−	1.02981i	0.0302632	−	0.999542i	$-0.490365\pi$
$29$	5.54567	−	5.54567i	1.02981	−	1.02981i	0.999542	−	0.0302632i	$-0.00963453\pi$
$30$	−2.20385	+	1.48849i	−0.402366	+	0.271760i
$31$	1.40152	+	1.40152i	0.251720	+	0.251720i	0.821676	−	0.569955i	$-0.193040\pi$
$31$	1.40152	+	1.40152i	0.251720	+	0.251720i	−0.569955	+	0.821676i	$0.693040\pi$
$32$	2.10223	−	3.64118i	0.371626	−	0.643675i
$33$	−15.9837	+	4.28281i	−2.78240	+	0.745542i
$34$	−0.646366	−	0.373180i	−0.110851	−	0.0639998i
$35$	−0.495619	−	7.02553i	−0.0837750	−	1.18753i
$36$			11.7519i			1.95864i
$37$	−2.30414	+	5.62947i	−0.378799	+	0.925479i
$37$	−2.30414	+	5.62947i	−0.378799	+	0.925479i
$38$	0.949569	+	0.949569i	0.154040	+	0.154040i
$39$	1.44841	+	0.388101i	0.231932	+	0.0621459i
$40$	−3.28518	−	0.636476i	−0.519433	−	0.100636i
$41$	−1.77472	−	1.02463i	−0.277164	−	0.160021i	0.354975	−	0.934876i	$-0.384489\pi$
$41$	−1.77472	−	1.02463i	−0.277164	−	0.160021i	−0.632139	+	0.774855i	$0.717823\pi$
$42$	3.24419	+	1.87303i	0.500589	+	0.289015i
$43$	4.07381			0.621251			0.310625	−	0.950532i	$-0.399462\pi$
$43$	4.07381			0.621251			0.310625	+	0.950532i	$0.399462\pi$
$44$	−8.66170	−	5.00084i	−1.30580	−	0.753904i
$45$	13.4362	−	4.63569i	2.00294	−	0.691049i
$46$	0.538252	+	0.932280i	0.0793609	+	0.137457i
$47$	1.75880	−	1.75880i	0.256547	−	0.256547i	−0.567101	−	0.823648i	$-0.691935\pi$
$47$	1.75880	−	1.75880i	0.256547	−	0.256547i	0.823648	+	0.567101i	$0.191935\pi$
$48$	−6.73915	+	6.73915i	−0.972713	+	0.972713i
$49$	−2.52944	+	1.46037i	−0.361349	+	0.208625i
$50$	0.272936	+	1.92484i	0.0385990	+	0.272214i
$51$	4.15183	+	4.15183i	0.581372	+	0.581372i
$52$	0.453167	+	0.784908i	0.0628430	+	0.108847i
$53$	2.65699	−	9.91602i	0.364965	−	1.36207i	−0.502502	−	0.864576i	$-0.667587\pi$
$53$	2.65699	−	9.91602i	0.364965	−	1.36207i	0.867468	−	0.497494i	$-0.165746\pi$
$54$	−1.03318	+	3.85587i	−0.140598	+	0.524717i
$55$	−2.30083	+	11.8758i	−0.310244	+	1.60133i
$56$	1.21996	+	4.55294i	0.163024	+	0.608412i
$57$	−5.28224	−	9.14910i	−0.699649	−	1.21183i
$58$	2.94551	+	0.789248i	0.386765	+	0.103633i
$59$	−3.54546	+	13.2318i	−0.461579	+	1.72264i	0.206410	+	0.978466i	$0.433822\pi$
$59$	−3.54546	+	13.2318i	−0.461579	+	1.72264i	−0.667989	+	0.744171i	$0.732845\pi$
$60$	11.3691	+	5.53640i	1.46774	+	0.714746i
$61$	1.33066	−	0.356550i	0.170374	−	0.0456516i	−0.172624	−	0.984988i	$-0.555224\pi$
$61$	1.33066	−	0.356550i	0.170374	−	0.0456516i	0.342998	+	0.939336i	$0.388558\pi$
$62$	−0.199461	+	0.744399i	−0.0253316	+	0.0945388i
$63$	−14.1569	−	14.1569i	−1.78361	−	1.78361i
$64$	−4.59676			−0.574595
$65$	0.718644	−	0.827734i	0.0891369	−	0.102668i
$66$	−4.54953	−	4.54953i	−0.560008	−	0.560008i
$67$	−7.45279	+	1.99697i	−0.910503	+	0.243969i	−0.683521	−	0.729931i	$-0.739552\pi$
$67$	−7.45279	+	1.99697i	−0.910503	+	0.243969i	−0.226982	+	0.973899i	$0.572886\pi$
$68$			3.54890i			0.430368i
$69$	−2.19189	−	8.18024i	−0.263872	−	0.984785i
$70$	2.26934	−	1.53272i	0.271238	−	0.183195i
$71$	−4.08391	+	7.07355i	−0.484671	+	0.839476i	−0.999845	−	0.0176103i	$-0.994394\pi$
$71$	−4.08391	+	7.07355i	−0.484671	+	0.839476i	0.515173	+	0.857086i	$0.327728\pi$
$72$	−8.23794	+	4.75618i	−0.970851	+	0.560521i
$73$	0.148203	−	0.148203i	0.0173459	−	0.0173459i	−0.698381	−	0.715727i	$-0.746096\pi$
$73$	0.148203	−	0.148203i	0.0173459	−	0.0173459i	0.715727	+	0.698381i	$0.246096\pi$
$74$	−2.34355	+	0.318555i	−0.272432	+	0.0370313i
$75$	1.84519	−	15.1824i	0.213065	−	1.75311i
$76$	1.65266	−	6.16781i	0.189573	−	0.707497i
$77$	16.4586	−	4.41008i	1.87564	−	0.502575i
$78$	0.150901	+	0.563171i	0.0170862	+	0.0637666i
$79$	14.2072	−	3.80679i	1.59843	−	0.428298i	0.653862	−	0.756614i	$-0.273148\pi$
$79$	14.2072	−	3.80679i	1.59843	−	0.428298i	0.944568	+	0.328316i	$0.106481\pi$
$80$	2.27231	+	6.58610i	0.254052	+	0.736349i
$81$	6.16738	−	10.6822i	0.685265	−	1.18691i
$82$		−	0.796795i		−	0.0879913i
$83$	−4.15466	+	15.5054i	−0.456033	+	1.70194i	0.228999	+	0.973427i	$0.426455\pi$
$83$	−4.15466	+	15.5054i	−0.456033	+	1.70194i	−0.685032	+	0.728513i	$0.740212\pi$
$84$		−	17.8124i		−	1.94349i
$85$	4.05754	−	1.39992i	0.440102	−	0.151842i
$86$	0.791990	+	1.37177i	0.0854025	+	0.147921i
$87$	−20.7756	−	11.9948i	−2.22738	−	1.28598i
$88$		−	8.09569i		−	0.863004i
$89$	2.74139	+	0.734553i	0.290587	+	0.0778624i	0.401168	−	0.916005i	$-0.368605\pi$
$89$	2.74139	+	0.734553i	0.290587	+	0.0778624i	−0.110581	+	0.993867i	$0.535271\pi$
$90$	4.17309	+	3.62310i	0.439882	+	0.381909i
$91$	−1.49145	−	0.399634i	−0.156347	−	0.0418930i
$92$	2.55936	−	4.43295i	0.266832	−	0.462167i
$93$	3.03137	−	5.25048i	0.314338	−	0.544450i
$94$	0.934165	+	0.250309i	0.0963518	+	0.0258174i
$95$	−7.70371	+	0.543462i	−0.790384	+	0.0557580i
$96$	−12.4225	−	3.32860i	−1.26787	−	0.339724i
$97$		−	2.02493i		−	0.205601i	−0.994702	−	0.102800i	$-0.967220\pi$
$97$		−	2.02493i		−	0.205601i	0.994702	−	0.102800i	$-0.0327803\pi$
$98$	−0.983497	−	0.567822i	−0.0993482	−	0.0573587i
$99$	17.1933	+	29.7797i	1.72800	+	2.99298i
$100$	7.27743	−	5.70020i	0.727743	−	0.570020i
$101$		−	0.549156i		−	0.0546431i	−0.999627	−	0.0273215i	$-0.991302\pi$
$101$		−	0.549156i		−	0.0546431i	0.999627	−	0.0273215i	$-0.00869780\pi$
$102$	−0.590880	+	2.20519i	−0.0585058	+	0.218347i
$103$			13.5624i			1.33634i	0.744007	+	0.668172i	$0.232923\pi$
$103$			13.5624i			1.33634i	−0.744007	+	0.668172i	$0.767077\pi$
$104$	−0.366809	+	0.635331i	−0.0359685	+	0.0622994i
$105$	−20.3653	+	7.02635i	−1.98745	+	0.685701i
$106$	3.85554	−	1.03309i	0.374483	−	0.100343i
$107$	−0.323853	−	1.20864i	−0.0313080	−	0.116843i	0.948503	−	0.316767i	$-0.102597\pi$
$107$	−0.323853	−	1.20864i	−0.0313080	−	0.116843i	−0.979811	+	0.199924i	$0.935931\pi$
$108$	18.3345	−	4.91271i	1.76424	−	0.472726i
$109$	−0.0307250	+	0.114667i	−0.00294292	+	0.0109831i	−0.967382	−	0.253323i	$-0.918476\pi$
$109$	−0.0307250	+	0.114667i	−0.00294292	+	0.0109831i	0.964439	+	0.264306i	$0.0851430\pi$
$110$	−4.44620	+	1.53401i	−0.423929	+	0.146262i
$111$	18.4570	+	2.35107i	1.75186	+	0.223154i
$112$	6.93941	−	6.93941i	0.655713	−	0.655713i
$113$	−5.63347	+	3.25248i	−0.529952	+	0.305968i	−0.740997	−	0.671508i	$-0.765647\pi$
$113$	−5.63347	+	3.25248i	−0.529952	+	0.305968i	0.211045	+	0.977476i	$0.432313\pi$
$114$	2.05384	−	3.55735i	0.192359	−	0.333176i
$115$	−6.07786	−	1.17753i	−0.566764	−	0.109806i
$116$	−3.75284	−	14.0058i	−0.348442	−	1.30040i
$117$		−	3.11606i		−	0.288080i
$118$	−5.14479	+	1.37854i	−0.473617	+	0.126905i
$119$	−4.27520	−	4.27520i	−0.391907	−	0.391907i
$120$	0.720289	+	10.2103i	0.0657531	+	0.932067i
$121$	−18.2655			−1.66050
$122$	0.378755	+	0.378755i	0.0342908	+	0.0342908i
$123$	−1.62237	+	6.05476i	−0.146284	+	0.545939i
$124$	3.53958	−	0.948429i	0.317864	−	0.0851714i
$125$	−9.38785	−	6.07192i	−0.839675	−	0.543089i
$126$	2.01479	−	7.51928i	0.179491	−	0.669871i
$127$	3.94583	+	1.05728i	0.350135	+	0.0938185i	0.429600	−	0.903019i	$-0.358654\pi$
$127$	3.94583	+	1.05728i	0.350135	+	0.0938185i	−0.0794648	+	0.996838i	$0.525321\pi$
$128$	−5.09812	−	8.83021i	−0.450615	−	0.780487i
$129$	−3.22517	−	12.0365i	−0.283960	−	1.05975i
$130$	0.418433	+	0.0810678i	0.0366990	+	0.00711011i
$131$	−2.83341	+	10.5744i	−0.247556	+	0.923893i	0.724525	+	0.689249i	$0.242059\pi$
$131$	−2.83341	+	10.5744i	−0.247556	+	0.923893i	−0.972081	+	0.234645i	$0.924607\pi$
$132$	−7.91815	+	29.5509i	−0.689186	+	2.57208i
$133$	5.43920	+	9.42098i	0.471639	+	0.816902i
$134$	−2.12133	−	2.12133i	−0.183255	−	0.183255i
$135$	−12.8491	−	19.0243i	−1.10588	−	1.63735i
$136$	−2.48775	+	1.43630i	−0.213323	+	0.123162i
$137$	3.16424	−	3.16424i	0.270339	−	0.270339i	−0.558897	−	0.829237i	$-0.688775\pi$
$137$	3.16424	−	3.16424i	0.270339	−	0.270339i	0.829237	+	0.558897i	$0.188775\pi$
$138$	2.32839	−	2.32839i	0.198206	−	0.198206i
$139$	−10.0902	−	17.4767i	−0.855839	−	1.48236i	−0.875865	−	0.482557i	$-0.839708\pi$
$139$	−10.0902	−	17.4767i	−0.855839	−	1.48236i	0.0200261	−	0.999799i	$-0.493625\pi$
$140$	−11.7069	−	5.70092i	−0.989414	−	0.481816i
$141$	−6.58896	−	3.80414i	−0.554891	−	0.320366i
$142$	−3.17581			−0.266508
$143$	2.29669	+	1.32600i	0.192059	+	0.110885i
$144$	17.1517	+	9.90257i	1.42931	+	0.825214i
$145$	−14.5328	+	9.81549i	−1.20688	+	0.815132i
$146$	0.0787164	+	0.0210920i	0.00651461	+	0.00174559i
$147$	6.31733	+	6.31733i	0.521045	+	0.521045i
$148$	6.88351	+	8.89316i	0.565821	+	0.731013i
$149$			17.4033i			1.42573i	0.701301	+	0.712866i	$0.252603\pi$
$149$			17.4033i			1.42573i	−0.701301	+	0.712866i	$0.747397\pi$
$150$	5.47106	−	2.33028i	0.446710	−	0.190267i
$151$	14.5658	+	8.40956i	1.18535	+	0.684360i	0.957245	−	0.289277i	$-0.0934148\pi$
$151$	14.5658	+	8.40956i	1.18535	+	0.684360i	0.228102	+	0.973637i	$0.426748\pi$
$152$	4.99244	−	1.33772i	0.404940	−	0.108503i
$153$	6.10073	−	10.5668i	0.493215	−	0.854273i
$154$	4.68472	+	4.68472i	0.377505	+	0.377505i
$155$	−2.48060	−	3.67276i	−0.199247	−	0.295003i
$156$	1.96032	−	1.96032i	0.156952	−	0.156952i
$157$	−5.24826	−	1.40627i	−0.418857	−	0.112232i	0.0432340	−	0.999065i	$-0.486234\pi$
$157$	−5.24826	−	1.40627i	−0.418857	−	0.112232i	−0.462091	+	0.886833i	$0.652901\pi$
$158$	4.04386	+	4.04386i	0.321713	+	0.321713i
$159$	−31.4013			−2.49029
$160$	−6.16355	+	7.09918i	−0.487272	+	0.561239i
$161$	2.25702	+	8.42332i	0.177878	+	0.663851i
$162$	4.79600			0.376809
$163$	19.1640	−	11.0643i	1.50104	−	0.866624i	0.501038	−	0.865425i	$-0.332952\pi$
$163$	19.1640	−	11.0643i	1.50104	−	0.866624i	0.999999	−	0.00119876i	$-0.000381577\pi$
$164$	−3.28113	+	1.89436i	−0.256213	+	0.147925i
$165$	36.9096	−	2.60381i	2.87341	−	0.202706i
$166$	−6.02881	+	1.61541i	−0.467926	+	0.125380i
$167$	4.91176	+	2.83580i	0.380083	+	0.219441i	0.677854	−	0.735196i	$-0.262910\pi$
$167$	4.91176	+	2.83580i	0.380083	+	0.219441i	−0.297771	+	0.954637i	$0.596243\pi$
$168$	12.4863	−	7.20896i	0.963338	−	0.556183i
$169$	6.37984	+	11.0502i	0.490757	+	0.850016i
$170$	1.26022	+	1.09413i	0.0966542	+	0.0839158i
$171$	−15.5235	+	15.5235i	−1.18711	+	1.18711i
$172$	3.76587	−	6.52268i	0.287145	−	0.497350i
$173$	−4.55655	−	1.22092i	−0.346428	−	0.0928252i	0.0814094	−	0.996681i	$-0.474058\pi$
$173$	−4.55655	−	1.22092i	−0.346428	−	0.0928252i	−0.427838	+	0.903856i	$0.640725\pi$
$174$		−	9.32765i		−	0.707127i
$175$	−1.90003	+	15.6336i	−0.143628	+	1.18179i
$176$	−14.5974	+	8.42779i	−1.10032	+	0.635268i
$177$	41.9016			3.14952
$178$	0.285609	+	1.06591i	0.0214073	+	0.0798930i
$179$	−5.34956	+	5.34956i	−0.399845	+	0.399845i	−0.878178	−	0.478333i	$-0.841241\pi$
$179$	−5.34956	+	5.34956i	−0.399845	+	0.399845i	0.478333	+	0.878178i	$0.341241\pi$
$180$	4.99819	−	25.7982i	0.372543	−	1.92289i
$181$	5.52605	−	9.57140i	0.410748	−	0.711436i	−0.584224	−	0.811593i	$-0.698601\pi$
$181$	5.52605	−	9.57140i	0.410748	−	0.711436i	0.994972	+	0.100156i	$0.0319343\pi$
$182$	−0.155386	−	0.579907i	−0.0115179	−	0.0429855i
$183$	−2.10693	−	3.64930i	−0.155748	−	0.269764i
$184$	4.14327			0.305446
$185$	7.45244	−	11.3781i	0.547914	−	0.836535i
$186$	2.35731			0.172846
$187$	5.19216	+	8.99308i	0.379688	+	0.657639i
$188$	−1.19021	−	4.44191i	−0.0868047	−	0.323960i
$189$	−16.1686	+	28.0048i	−1.17609	+	2.03705i
$190$	−1.68068	−	2.48840i	−0.121929	−	0.180527i
$191$	9.74810	−	9.74810i	0.705348	−	0.705348i	−0.260205	−	0.965553i	$-0.583790\pi$
$191$	9.74810	−	9.74810i	0.705348	−	0.705348i	0.965553	+	0.260205i	$0.0837902\pi$
$192$	3.63918	+	13.5816i	0.262635	+	0.980167i
$193$	−16.2149			−1.16717			−0.583586	−	0.812052i	$-0.698351\pi$
$193$	−16.2149			−1.16717			−0.583586	+	0.812052i	$0.698351\pi$
$194$	0.681851	−	0.393667i	0.0489540	−	0.0282636i
$195$	−3.01456	−	1.46800i	−0.215877	−	0.105126i
$196$			5.39994i			0.385710i
$197$	−13.0225	−	3.48937i	−0.927815	−	0.248607i	−0.236893	−	0.971536i	$-0.576129\pi$
$197$	−13.0225	−	3.48937i	−0.927815	−	0.248607i	−0.690923	+	0.722928i	$0.742796\pi$
$198$	−6.68511	+	11.5790i	−0.475090	+	0.822880i
$199$	11.8257	−	11.8257i	0.838302	−	0.838302i	−0.150333	−	0.988635i	$-0.548035\pi$
$199$	11.8257	−	11.8257i	0.838302	−	0.838302i	0.988635	+	0.150333i	$0.0480347\pi$
$200$	6.94108	+	2.79444i	0.490809	+	0.197597i
$201$	11.8005	+	20.4390i	0.832342	+	1.44166i
$202$	0.184916	−	0.106761i	0.0130107	−	0.00751170i
$203$	21.3930	+	12.3513i	1.50149	+	0.866889i
$204$	10.4856	−	2.80960i	0.734138	−	0.196712i
$205$	3.46016	+	3.00413i	0.241668	+	0.209818i
$206$	−4.56684	+	2.63667i	−0.318187	+	0.183705i
$207$	−15.2409	+	8.79933i	−1.05931	+	0.611596i
$208$	1.52742			0.105908
$209$	−4.83579	−	18.0474i	−0.334499	−	1.24837i
$210$	−6.32517	−	5.49156i	−0.436478	−	0.378953i
$211$	−10.9455			−0.753516			−0.376758	−	0.926312i	$-0.622961\pi$
$211$	−10.9455			−0.753516			−0.376758	+	0.926312i	$0.622961\pi$
$212$	−13.4206	−	13.4206i	−0.921733	−	0.921733i
$213$	24.1327	+	6.46633i	1.65354	+	0.443065i
$214$	0.344021	−	0.344021i	0.0235168	−	0.0235168i
$215$	−8.94303	−	1.73264i	−0.609910	−	0.118165i
$216$	10.8640	+	10.8640i	0.739204	+	0.739204i
$217$	−3.12145	+	5.40651i	−0.211898	+	0.367018i
$218$	−0.0445849	+	0.0119465i	−0.00301967	+	0.000809119i
$219$	−0.555212	−	0.320552i	−0.0375177	−	0.0216609i
$220$	16.8877	+	14.6620i	1.13857	+	0.988511i
$221$		−	0.941008i		−	0.0632991i
$222$	2.79655	+	6.67205i	0.187692	+	0.447798i
$223$	−16.5949	−	16.5949i	−1.11128	−	1.11128i	−0.992978	−	0.118301i	$-0.962255\pi$
$223$	−16.5949	−	16.5949i	−1.11128	−	1.11128i	−0.118301	−	0.992978i	$-0.537745\pi$
$224$	12.7917	+	3.42752i	0.854679	+	0.229010i
$225$	−31.4673	+	4.46196i	−2.09782	+	0.297464i
$226$	−2.19040	−	1.26463i	−0.145703	−	0.0841219i
$227$	2.51610	+	1.45267i	0.166999	+	0.0964172i	0.581170	−	0.813782i	$-0.302595\pi$
$227$	2.51610	+	1.45267i	0.166999	+	0.0964172i	−0.414171	+	0.910199i	$0.635928\pi$
$228$	−19.5318			−1.29352
$229$	−0.474824	−	0.274140i	−0.0313773	−	0.0181157i	0.484229	−	0.874941i	$-0.339100\pi$
$229$	−0.474824	−	0.274140i	−0.0313773	−	0.0181157i	−0.515607	+	0.856825i	$0.672433\pi$
$230$	−0.785088	−	2.27551i	−0.0517672	−	0.150043i
$231$	−26.0600	−	45.1373i	−1.71462	−	2.96982i
$232$	8.29908	−	8.29908i	0.544861	−	0.544861i
$233$	3.42406	−	3.42406i	0.224318	−	0.224318i	−0.585996	−	0.810314i	$-0.699297\pi$
$233$	3.42406	−	3.42406i	0.224318	−	0.224318i	0.810314	+	0.585996i	$0.199297\pi$
$234$	1.04926	−	0.605793i	0.0685926	−	0.0396019i
$235$	−4.60904	+	3.11297i	−0.300660	+	0.203067i
$236$	17.9083	+	17.9083i	1.16573	+	1.16573i
$237$	−22.4951	−	38.9627i	−1.46121	−	2.53090i
$238$	0.608438	−	2.27072i	0.0394392	−	0.147189i
$239$	−1.69865	+	6.33944i	−0.109876	+	0.410064i	−0.998853	−	0.0478891i	$-0.984751\pi$
$239$	−1.69865	+	6.33944i	−0.109876	+	0.410064i	0.888976	+	0.457953i	$0.151417\pi$
$240$	17.6603	−	11.9279i	1.13997	−	0.769941i
$241$	−5.22983	−	19.5180i	−0.336883	−	1.25726i	−0.901813	−	0.432126i	$-0.857764\pi$
$241$	−5.22983	−	19.5180i	−0.336883	−	1.25726i	0.564930	−	0.825139i	$-0.308903\pi$
$242$	−3.55100	−	6.15051i	−0.228267	−	0.395370i
$243$	−6.69370	−	1.79357i	−0.429401	−	0.115058i
$244$	0.659197	−	2.46016i	0.0422008	−	0.157495i
$245$	6.17386	−	2.13008i	0.394434	−	0.136086i
$246$	−2.35421	+	0.630809i	−0.150099	+	0.0402189i
$247$	−0.438211	+	1.63542i	−0.0278827	+	0.104060i
$248$	2.09737	+	2.09737i	0.133183	+	0.133183i
$249$	49.1014			3.11168
$250$	0.219494	−	4.34159i	0.0138820	−	0.274586i
$251$	−8.09134	−	8.09134i	−0.510721	−	0.510721i	0.404027	−	0.914747i	$-0.367610\pi$
$251$	−8.09134	−	8.09134i	−0.510721	−	0.510721i	−0.914747	+	0.404027i	$0.867610\pi$
$252$	−35.7538	+	9.58021i	−2.25228	+	0.603497i
$253$		−	14.9777i		−	0.941641i
$254$	0.411092	+	1.53422i	0.0257942	+	0.0962652i
$255$	−7.34847	−	10.8801i	−0.460179	−	0.681339i
$256$	−2.61451	+	4.52847i	−0.163407	+	0.283029i
$257$	−2.07961	+	1.20066i	−0.129722	+	0.0748953i	−0.563457	−	0.826145i	$-0.690529\pi$
$257$	−2.07961	+	1.20066i	−0.129722	+	0.0748953i	0.433734	+	0.901041i	$0.357196\pi$
$258$	3.42602	−	3.42602i	0.213294	−	0.213294i
$259$	−19.0054	−	2.42094i	−1.18094	−	0.150430i
$260$	−0.660984	−	1.91580i	−0.0409925	−	0.118813i
$261$	−12.9026	+	48.1532i	−0.798651	+	2.98061i
$262$	−4.11155	+	1.10169i	−0.254013	+	0.0680624i
$263$	−0.174111	−	0.649790i	−0.0107361	−	0.0400678i	0.960350	−	0.278797i	$-0.0899357\pi$
$263$	−0.174111	−	0.649790i	−0.0107361	−	0.0400678i	−0.971086	+	0.238729i	$0.923269\pi$
$264$	−23.9195	+	6.40922i	−1.47214	+	0.394460i
$265$	−10.0501	+	20.6381i	−0.617375	+	1.26779i
$266$	−2.11487	+	3.66306i	−0.129671	+	0.224597i
$267$		−	8.68123i		−	0.531283i
$268$	−3.69203	+	13.7789i	−0.225527	+	0.841678i
$269$			11.1924i			0.682413i	0.939988	+	0.341207i	$0.110836\pi$
$269$			11.1924i			0.682413i	−0.939988	+	0.341207i	$0.889164\pi$
$270$	3.90802	−	8.02517i	0.237835	−	0.488396i
$271$	0.729450	+	1.26345i	0.0443110	+	0.0767488i	0.887330	−	0.461134i	$-0.152557\pi$
$271$	0.729450	+	1.26345i	0.0443110	+	0.0767488i	−0.843019	+	0.537883i	$0.819224\pi$
$272$	5.17960	+	2.99044i	0.314059	+	0.181322i
$273$			4.72303i			0.285851i
$274$	1.68065	+	0.450328i	0.101532	+	0.0272053i
$275$	10.1018	−	25.0917i	0.609160	−	1.51308i
$276$	−15.1238	−	4.05240i	−0.910344	−	0.243926i
$277$	−3.79543	+	6.57388i	−0.228045	+	0.394986i	−0.957229	−	0.289332i	$-0.906567\pi$
$277$	−3.79543	+	6.57388i	−0.228045	+	0.394986i	0.729183	+	0.684318i	$0.239900\pi$
$278$	3.92326	−	6.79529i	0.235302	−	0.407555i
$279$	−12.1694	−	3.26079i	−0.728564	−	0.195218i
$280$	−0.741693	−	10.5137i	−0.0443246	−	0.628313i
$281$	18.0851	+	4.84588i	1.07886	+	0.289081i	0.754131	−	0.656724i	$-0.228059\pi$
$281$	18.0851	+	4.84588i	1.07886	+	0.289081i	0.324734	+	0.945805i	$0.394725\pi$
$282$		−	2.95825i		−	0.176161i
$283$	21.7442	+	12.5540i	1.29256	+	0.746259i	0.979107	−	0.203345i	$-0.0651814\pi$
$283$	21.7442	+	12.5540i	1.29256	+	0.746259i	0.313451	+	0.949604i	$0.398515\pi$
$284$	7.55042	+	13.0777i	0.448035	+	0.776019i
$285$	7.70460	+	22.3311i	0.456381	+	1.32278i
$286$			1.03115i			0.0609729i
$287$	1.67058	−	6.23469i	0.0986112	−	0.368022i
$288$			26.7253i			1.57481i
$289$	−6.65766	+	11.5314i	−0.391627	+	0.678318i
$290$	−6.13046	−	2.98535i	−0.359993	−	0.175306i
$291$	−5.98286	+	1.60310i	−0.350721	+	0.0939755i
$292$	−0.100291	−	0.374293i	−0.00586911	−	0.0219038i
$293$	1.43011	−	0.383198i	0.0835482	−	0.0223867i	−0.216803	−	0.976215i	$-0.569563\pi$
$293$	1.43011	−	0.383198i	0.0835482	−	0.0223867i	0.300351	+	0.953829i	$0.402896\pi$
$294$	−0.899070	+	3.35537i	−0.0524348	+	0.195689i
$295$	13.4108	−	27.5392i	0.780806	−	1.60339i
$296$	−3.44814	+	8.42448i	−0.200419	+	0.489663i
$297$	39.2729	−	39.2729i	2.27885	−	2.27885i
$298$	−5.86016	+	3.38337i	−0.339470	+	0.195993i
$299$	−0.678627	+	1.17542i	−0.0392460	+	0.0679761i
$300$	−22.6032	−	16.9892i	−1.30500	−	0.980869i
$301$	3.32101	+	12.3942i	0.191420	+	0.714388i
$302$			6.53961i			0.376312i
$303$	−1.62254	+	0.434757i	−0.0932123	+	0.0249761i
$304$	−7.60928	−	7.60928i	−0.436422	−	0.436422i
$305$	−3.07278	+	0.216771i	−0.175947	+	0.0124123i
$306$	4.74417			0.271206
$307$	−13.9807	−	13.9807i	−0.797920	−	0.797920i	0.184847	−	0.982767i	$-0.440821\pi$
$307$	−13.9807	−	13.9807i	−0.797920	−	0.797920i	−0.982767	+	0.184847i	$0.940821\pi$
$308$	8.15344	−	30.4291i	0.464585	−	1.73386i
$309$	40.0715	−	10.7371i	2.27959	−	0.610813i
$310$	0.754468	−	1.54931i	0.0428509	−	0.0879948i
$311$	−0.610669	+	2.27905i	−0.0346278	+	0.129233i	−0.981076	−	0.193623i	$-0.937976\pi$
$311$	−0.610669	+	2.27905i	−0.0346278	+	0.129233i	0.946448	+	0.322856i	$0.104643\pi$
$312$	2.16754	+	0.580792i	0.122713	+	0.0328809i
$313$	−4.08454	−	7.07463i	−0.230872	−	0.399882i	0.727193	−	0.686433i	$-0.240824\pi$
$313$	−4.08454	−	7.07463i	−0.230872	−	0.399882i	−0.958065	+	0.286551i	$0.907491\pi$
$314$	−0.546784	−	2.04063i	−0.0308568	−	0.115159i
$315$	25.0569	+	37.0991i	1.41180	+	2.09030i
$316$	7.03807	−	26.2665i	0.395923	−	1.47760i
$317$	5.83113	−	21.7621i	0.327509	−	1.22228i	−0.584256	−	0.811569i	$-0.698614\pi$
$317$	5.83113	−	21.7621i	0.327509	−	1.22228i	0.911765	−	0.410711i	$-0.134720\pi$
$318$	−6.10473	−	10.5737i	−0.342336	−	0.592944i
$319$	−30.0008	−	30.0008i	−1.67972	−	1.67972i
$320$	10.0910	+	1.95505i	0.564106	+	0.109291i
$321$	−3.31464	+	1.91371i	−0.185005	+	0.106813i
$322$	−2.39758	+	2.39758i	−0.133612	+	0.133612i
$323$	−4.68789	+	4.68789i	−0.260841	+	0.260841i
$324$	−11.4024	−	19.7495i	−0.633465	−	1.09719i
$325$	−1.92965	+	1.51143i	−0.107038	+	0.0838393i
$326$	7.45132	+	4.30202i	0.412691	+	0.238267i
$327$	0.363120			0.0200806
$328$	−2.65586	−	1.53336i	−0.146645	−	0.0846657i
$329$	6.78476	+	3.91718i	0.374056	+	0.215961i
$330$	8.05237	+	11.9223i	0.443269	+	0.656301i
$331$	−11.8707	−	3.18073i	−0.652470	−	0.174829i	−0.0826246	−	0.996581i	$-0.526330\pi$
$331$	−11.8707	−	3.18073i	−0.652470	−	0.174829i	−0.569845	+	0.821752i	$0.692997\pi$
$332$	20.9855	+	20.9855i	1.15173	+	1.15173i
$333$	−5.20773	−	38.3122i	−0.285382	−	2.09950i
$334$			2.20523i			0.120665i
$335$	17.2100	−	1.21409i	0.940285	−	0.0663329i
$336$	−25.9970	−	15.0094i	−1.41825	−	0.818828i
$337$	13.7210	−	3.67654i	0.747433	−	0.200274i	0.135054	−	0.990838i	$-0.456879\pi$
$337$	13.7210	−	3.67654i	0.747433	−	0.200274i	0.612379	+	0.790564i	$0.290213\pi$
$338$	−2.48061	+	4.29654i	−0.134927	+	0.233701i
$339$	14.0697	+	14.0697i	0.764161	+	0.764161i
$340$	1.50939	−	7.79072i	0.0818579	−	0.422511i
$341$	7.58188	−	7.58188i	0.410582	−	0.410582i
$342$	−8.24513	−	2.20927i	−0.445845	−	0.119464i
$343$	9.08527	+	9.08527i	0.490558	+	0.490558i
$344$	6.09645			0.328699
$345$	1.33260	+	18.8899i	0.0717445	+	1.01700i
$346$	−0.474720	−	1.77168i	−0.0255211	−	0.0952460i
$347$	−2.31008			−0.124011			−0.0620057	−	0.998076i	$-0.519750\pi$
$347$	−2.31008			−0.124011			−0.0620057	+	0.998076i	$0.519750\pi$
$348$	−38.4104	+	22.1763i	−2.05901	+	1.18877i
$349$	−12.0330	+	6.94728i	−0.644114	+	0.371879i	−0.786197	−	0.617975i	$-0.787953\pi$
$349$	−12.0330	+	6.94728i	−0.644114	+	0.371879i	0.142084	+	0.989855i	$0.454620\pi$
$350$	−5.63364	+	2.39953i	−0.301131	+	0.128260i
$351$	−4.86147	+	1.30263i	−0.259486	+	0.0695291i
$352$	−19.6979	−	11.3726i	−1.04990	−	0.606161i
$353$	−17.7853	+	10.2684i	−0.946617	+	0.546529i	−0.892028	−	0.451979i	$-0.850718\pi$
$353$	−17.7853	+	10.2684i	−0.946617	+	0.546529i	−0.0545884	+	0.998509i	$0.517385\pi$
$354$	8.14608	+	14.1094i	0.432959	+	0.749908i
$355$	11.9737	−	13.7913i	0.635496	−	0.731964i
$356$	3.71028	−	3.71028i	0.196644	−	0.196644i
$357$	−9.24691	+	16.0161i	−0.489398	+	0.847663i
$358$	−2.84135	−	0.761338i	−0.150170	−	0.0402380i
$359$			27.9245i			1.47380i	0.676001	+	0.736900i	$0.263711\pi$
$359$			27.9245i			1.47380i	−0.676001	+	0.736900i	$0.736289\pi$
$360$	20.1072	−	6.93730i	1.05974	−	0.365628i
$361$	−6.12409	+	3.53575i	−0.322321	+	0.186092i
$362$	4.29727			0.225860
$363$	14.4605	+	53.9673i	0.758979	+	2.83255i
$364$	−2.01858	+	2.01858i	−0.105802	+	0.105802i
$365$	−0.388376	+	0.262311i	−0.0203285	+	0.0137300i
$366$	0.819214	−	1.41892i	0.0428210	−	0.0741682i
$367$	4.80784	+	17.9431i	0.250967	+	0.936622i	0.970290	+	0.241946i	$0.0777857\pi$
$367$	4.80784	+	17.9431i	0.250967	+	0.936622i	−0.719322	+	0.694676i	$0.755548\pi$
$368$	−4.31323	−	7.47074i	−0.224843	−	0.389439i
$369$	13.0260			0.678106
$370$	5.28015	+	0.297428i	0.274502	+	0.0154626i
$371$	32.3345			1.67872
$372$	−5.60445	−	9.70720i	−0.290577	−	0.503295i
$373$	−0.688006	−	2.56767i	−0.0356236	−	0.132949i	0.945824	−	0.324680i	$-0.105257\pi$
$373$	−0.688006	−	2.56767i	−0.0356236	−	0.132949i	−0.981448	+	0.191731i	$0.938590\pi$
$374$	−2.01881	+	3.49669i	−0.104390	+	0.180809i
$375$	−10.5079	+	32.5444i	−0.542625	+	1.68058i
$376$	2.63204	−	2.63204i	0.135737	−	0.135737i
$377$	0.995082	+	3.71370i	0.0512494	+	0.191265i
$378$	−12.5733			−0.646703
$379$	19.2622	−	11.1210i	0.989433	−	0.571249i	0.0843279	−	0.996438i	$-0.473126\pi$
$379$	19.2622	−	11.1210i	0.989433	−	0.571249i	0.905105	+	0.425189i	$0.139792\pi$
$380$	−6.25124	+	12.8370i	−0.320682	+	0.658523i
$381$		−	12.4954i		−	0.640157i
$382$	5.17758	+	1.38733i	0.264908	+	0.0709820i
$383$	4.69189	−	8.12659i	0.239744	−	0.415249i	−0.720897	−	0.693043i	$-0.756270\pi$
$383$	4.69189	−	8.12659i	0.239744	−	0.415249i	0.960641	+	0.277793i	$0.0896031\pi$
$384$	−22.0536	+	22.0536i	−1.12542	+	1.12542i
$385$	−38.0065	+	2.68118i	−1.93699	+	0.136646i
$386$	−3.15233	−	5.45999i	−0.160449	−	0.277906i
$387$	−22.4256	+	12.9474i	−1.13996	+	0.658155i
$388$	−3.24217	−	1.87187i	−0.164596	−	0.0950296i
$389$	−0.958452	+	0.256816i	−0.0485954	+	0.0130211i	−0.283035	−	0.959110i	$-0.591341\pi$
$389$	−0.958452	+	0.256816i	−0.0485954	+	0.0130211i	0.234439	+	0.972131i	$0.424675\pi$
$390$	−0.0917430	−	1.30048i	−0.00464559	−	0.0658524i
$391$	−4.60254	+	2.65728i	−0.232761	+	0.134384i
$392$	−3.78530	+	2.18545i	−0.191187	+	0.110382i
$393$	33.4864			1.68917
$394$	−1.35674	−	5.06341i	−0.0683514	−	0.255091i
$395$	−32.8073	+	2.31440i	−1.65071	+	0.116450i
$396$	63.5748			3.19475
$397$	−8.65853	−	8.65853i	−0.434559	−	0.434559i	0.455617	−	0.890176i	$-0.349419\pi$
$397$	−8.65853	−	8.65853i	−0.434559	−	0.434559i	−0.890176	+	0.455617i	$0.849419\pi$
$398$	6.28108	+	1.68301i	0.314842	+	0.0843616i
$399$	23.5291	−	23.5291i	1.17793	−	1.17793i
$400$	−2.18715	−	15.4246i	−0.109358	−	0.771228i
$401$	−12.6663	−	12.6663i	−0.632526	−	0.632526i	0.316175	−	0.948701i	$-0.397601\pi$
$401$	−12.6663	−	12.6663i	−0.632526	−	0.632526i	−0.948701	+	0.316175i	$0.897601\pi$
$402$	−4.58826	+	7.94710i	−0.228842	+	0.396365i
$403$	−0.938537	+	0.251480i	−0.0467519	+	0.0125271i
$404$	−0.879267	−	0.507645i	−0.0437452	−	0.0252563i
$405$	−18.0822	+	20.8271i	−0.898511	+	1.03490i
$406$			9.60483i			0.476680i
$407$	30.4541	+	12.4649i	1.50955	+	0.617861i
$408$	6.21320	+	6.21320i	0.307599	+	0.307599i
$409$	0.410151	+	0.109900i	0.0202807	+	0.00543419i	0.268945	−	0.963156i	$-0.413325\pi$
$409$	0.410151	+	0.109900i	0.0202807	+	0.00543419i	−0.248664	+	0.968590i	$0.579992\pi$
$410$	−0.338885	+	1.74916i	−0.0167364	+	0.0863850i
$411$	−11.8541	−	6.84399i	−0.584721	−	0.337589i
$412$	21.7151	+	12.5372i	1.06983	+	0.617664i
$413$	−43.1467			−2.12311
$414$	−5.92596	−	3.42135i	−0.291245	−	0.168150i
$415$	15.7151	−	32.2712i	0.771425	−	1.58413i
$416$	1.03056	+	1.78499i	0.0505275	+	0.0875162i
$417$	−43.6485	+	43.6485i	−2.13747	+	2.13747i
$418$	5.13694	−	5.13694i	0.251256	−	0.251256i
$419$	18.0063	−	10.3959i	0.879664	−	0.507874i	0.00911645	−	0.999958i	$-0.497098\pi$
$419$	18.0063	−	10.3959i	0.879664	−	0.507874i	0.870548	+	0.492084i	$0.163765\pi$
$420$	−7.57578	+	39.1025i	−0.369660	+	1.90801i
$421$	15.3463	+	15.3463i	0.747934	+	0.747934i	0.974091	−	0.226157i	$-0.0726161\pi$
$421$	15.3463	+	15.3463i	0.747934	+	0.747934i	−0.226157	+	0.974091i	$0.572616\pi$
$422$	−2.12790	−	3.68564i	−0.103585	−	0.179414i
$423$	−4.09204	+	15.2717i	−0.198962	+	0.742536i
$424$	3.97617	−	14.8393i	0.193100	−	0.720659i
$425$	−9.50270	+	1.34745i	−0.460949	+	0.0653609i
$426$	2.51423	+	9.38325i	0.121815	+	0.454620i
$427$	2.16954	+	3.75775i	0.104991	+	0.181850i
$428$	−2.23455	−	0.598745i	−0.108011	−	0.0289414i
$429$	2.09953	−	7.83557i	0.101366	−	0.378305i
$430$	−1.15519	−	3.34821i	−0.0557080	−	0.161465i
$431$	31.0889	−	8.33025i	1.49750	−	0.401254i	0.585238	−	0.810862i	$-0.301001\pi$
$431$	31.0889	−	8.33025i	1.49750	−	0.401254i	0.912262	+	0.409608i	$0.134334\pi$
$432$	8.27927	−	30.8987i	0.398337	−	1.48661i
$433$	−7.64871	−	7.64871i	−0.367573	−	0.367573i	0.499018	−	0.866592i	$-0.333694\pi$
$433$	−7.64871	−	7.64871i	−0.367573	−	0.367573i	−0.866592	+	0.499018i	$0.833694\pi$
$434$	−2.42736			−0.116517
$435$	40.5061	+	35.1677i	1.94212	+	1.68616i
$436$	0.155194	+	0.155194i	0.00743245	+	0.00743245i
$437$	9.23643	−	2.47489i	0.441838	−	0.118390i
$438$		−	0.249273i		−	0.0119107i
$439$	−1.06390	−	3.97053i	−0.0507772	−	0.189503i	0.935879	−	0.352322i	$-0.114608\pi$
$439$	−1.06390	−	3.97053i	−0.0507772	−	0.189503i	−0.986656	+	0.162819i	$0.947941\pi$
$440$	−3.44318	+	17.7720i	−0.164147	+	0.847249i
$441$	9.28274	−	16.0782i	0.442035	−	0.765628i
$442$	0.316864	−	0.182941i	0.0150717	−	0.00870163i
$443$	2.43232	−	2.43232i	0.115563	−	0.115563i	−0.646960	−	0.762524i	$-0.723960\pi$
$443$	2.43232	−	2.43232i	0.115563	−	0.115563i	0.762524	+	0.646960i	$0.223960\pi$
$444$	20.8262	−	27.3786i	0.988366	−	1.29933i
$445$	−5.70561	−	2.77847i	−0.270472	−	0.131712i
$446$	2.36176	−	8.81419i	0.111832	−	0.417364i
$447$	51.4197	−	13.7779i	2.43207	−	0.651670i
$448$	−3.74732	−	13.9852i	−0.177044	−	0.660738i
$449$	−33.1099	+	8.87177i	−1.56255	+	0.418684i	−0.933470	−	0.358655i	$-0.883236\pi$
$449$	−33.1099	+	8.87177i	−1.56255	+	0.418684i	−0.629082	+	0.777339i	$0.716569\pi$
$450$	−7.62002	−	9.72847i	−0.359211	−	0.458604i
$451$	−5.54302	+	9.60080i	−0.261011	+	0.452084i
$452$			12.0265i			0.565679i
$453$	13.3154	−	49.6938i	0.625612	−	2.33482i
$454$			1.12965i			0.0530173i
$455$	3.10414	+	1.51163i	0.145524	+	0.0708661i
$456$	−7.90485	−	13.6916i	−0.370178	−	0.641168i
$457$	−10.5013	−	6.06294i	−0.491231	−	0.283612i	0.233854	−	0.972272i	$-0.424866\pi$
$457$	−10.5013	−	6.06294i	−0.491231	−	0.283612i	−0.725085	+	0.688659i	$0.758200\pi$
$458$		−	0.213182i		−	0.00996134i
$459$	−19.0359	−	5.10066i	−0.888521	−	0.238078i
$460$	−7.50381	+	8.64289i	−0.349867	+	0.402977i
$461$	24.6374	+	6.60156i	1.14748	+	0.307465i	0.781953	−	0.623337i	$-0.214224\pi$
$461$	24.6374	+	6.60156i	1.14748	+	0.307465i	0.365523	+	0.930802i	$0.380890\pi$
$462$	10.1327	−	17.5503i	0.471414	−	0.816513i
$463$	−2.79622	+	4.84319i	−0.129951	+	0.225082i	−0.923658	−	0.383219i	$-0.874815\pi$
$463$	−2.79622	+	4.84319i	−0.129951	+	0.225082i	0.793706	+	0.608301i	$0.208149\pi$
$464$	−23.6036	−	6.32457i	−1.09577	−	0.293611i
$465$	−8.88769	+	10.2368i	−0.412157	+	0.474722i
$466$	1.81865	+	0.487305i	0.0842472	+	0.0225740i
$467$			41.2557i			1.90909i	0.298069	+	0.954544i	$0.403657\pi$
$467$			41.2557i			1.90909i	−0.298069	+	0.954544i	$0.596343\pi$
$468$	−4.98920	−	2.88052i	−0.230626	−	0.133152i
$469$	−12.1511	−	21.0464i	−0.561088	−	0.971832i
$470$	−1.94426	−	0.946800i	−0.0896822	−	0.0436726i
$471$			16.6198i			0.765801i
$472$	−5.30576	+	19.8014i	−0.244218	+	0.911432i
$473$		−	22.0384i		−	1.01333i
$474$	8.74654	−	15.1494i	0.401742	−	0.695837i
$475$	17.1427	+	2.08344i	0.786561	+	0.0955946i
$476$	−10.7972	+	2.89309i	−0.494888	+	0.132605i
$477$	16.8889	+	63.0303i	0.773291	+	2.88596i
$478$	−2.46490	+	0.660467i	−0.112742	+	0.0302091i
$479$	0.353440	−	1.31906i	0.0161491	−	0.0602693i	−0.957381	−	0.288828i	$-0.906735\pi$
$479$	0.353440	−	1.31906i	0.0161491	−	0.0602693i	0.973530	+	0.228558i	$0.0734012\pi$
$480$	25.8548	+	12.5905i	1.18010	+	0.574676i
$481$	−1.82519	−	2.35806i	−0.0832217	−	0.107518i
$482$	5.55552	−	5.55552i	0.253047	−	0.253047i
$483$	23.1007	−	13.3372i	1.05112	−	0.606863i
$484$	−16.8848	+	29.2454i	−0.767492	+	1.32933i
$485$	−0.861225	+	4.44523i	−0.0391062	+	0.201847i
$486$	−0.697376	−	2.60264i	−0.0316336	−	0.118058i
$487$			30.4648i			1.38049i	0.723575	+	0.690246i	$0.242498\pi$
$487$			30.4648i			1.38049i	−0.723575	+	0.690246i	$0.757502\pi$
$488$	1.99133	−	0.533576i	0.0901435	−	0.0241539i
$489$	−47.8624	−	47.8624i	−2.16441	−	2.16441i
$490$	1.91752	+	1.66480i	0.0866247	+	0.0752081i
$491$	14.1300			0.637678			0.318839	−	0.947809i	$-0.396707\pi$
$491$	14.1300			0.637678			0.318839	+	0.947809i	$0.396707\pi$
$492$	8.19469	+	8.19469i	0.369445	+	0.369445i
$493$	−3.89641	+	14.5416i	−0.175486	+	0.654921i
$494$	−0.635885	+	0.170385i	−0.0286098	+	0.00766598i
$495$	−25.0780	−	72.6864i	−1.12717	−	3.26701i
$496$	1.59836	−	5.96518i	0.0717687	−	0.267844i
$497$	−24.8498	−	6.65848i	−1.11467	−	0.298674i
$498$	9.54580	+	16.5338i	0.427758	+	0.740898i
$499$	2.26583	+	8.45621i	0.101433	+	0.378552i	0.997916	−	0.0645254i	$-0.0205534\pi$
$499$	2.26583	+	8.45621i	0.101433	+	0.378552i	−0.896483	+	0.443077i	$0.853887\pi$
$500$	−18.4001	+	9.41818i	−0.822879	+	0.421194i
$501$	4.49011	−	16.7573i	0.200603	−	0.748662i
$502$	1.15154	−	4.29761i	0.0513958	−	0.191812i
$503$	−1.65426	−	2.86527i	−0.0737599	−	0.127756i	0.826786	−	0.562516i	$-0.190167\pi$
$503$	−1.65426	−	2.86527i	−0.0737599	−	0.127756i	−0.900546	+	0.434760i	$0.856833\pi$
$504$	−21.1858	−	21.1858i	−0.943691	−	0.943691i
$505$	−0.233562	+	1.20553i	−0.0103934	+	0.0536455i
$506$	5.04341	−	2.91181i	0.224207	−	0.129446i
$507$	27.5981	−	27.5981i	1.22568	−	1.22568i
$508$	5.34040	−	5.34040i	0.236942	−	0.236942i
$509$	−4.62265	−	8.00666i	−0.204895	−	0.354889i	0.745204	−	0.666836i	$-0.232352\pi$
$509$	−4.62265	−	8.00666i	−0.204895	−	0.354889i	−0.950099	+	0.311948i	$0.899019\pi$
$510$	2.23502	−	4.58964i	0.0989683	−	0.203232i
$511$	0.571710	+	0.330077i	0.0252910	+	0.0146017i
$512$	−22.4256			−0.991083
$513$	30.7082	+	17.7294i	1.35580	+	0.782771i
$514$	−0.808593	−	0.466841i	−0.0356655	−	0.0205915i
$515$	5.76823	−	29.7728i	0.254179	−	1.31195i
$516$	−22.2533	−	5.96275i	−0.979646	−	0.262495i
$517$	−9.51469	−	9.51469i	−0.418456	−	0.418456i
$518$	−2.87965	−	6.87031i	−0.126525	−	0.301864i
$519$			14.4294i			0.633379i
$520$	1.07545	−	1.23870i	0.0471616	−	0.0543207i
$521$	21.6531	+	12.5014i	0.948641	+	0.547698i	0.892658	−	0.450734i	$-0.148838\pi$
$521$	21.6531	+	12.5014i	0.948641	+	0.547698i	0.0559823	+	0.998432i	$0.482171\pi$
$522$	−18.7229	+	5.01679i	−0.819479	+	0.219579i
$523$	−10.7087	+	18.5479i	−0.468257	+	0.811044i	−0.999342	−	0.0362741i	$-0.988451\pi$
$523$	−10.7087	+	18.5479i	−0.468257	+	0.811044i	0.531085	+	0.847318i	$0.321784\pi$
$524$	14.3118	+	14.3118i	0.625212	+	0.625212i
$525$	47.6952	−	6.76301i	2.08159	−	0.295162i
$526$	0.184954	−	0.184954i	0.00806436	−	0.00806436i
$527$	−3.67500	−	0.984714i	−0.160086	−	0.0428948i
$528$	36.4572	+	36.4572i	1.58660	+	1.58660i
$529$	−15.3346			−0.666722
$530$	−8.90325	+	0.628084i	−0.386733	+	0.0272822i
$531$	−22.5364	−	84.1069i	−0.977996	−	3.64993i
$532$	20.1122			0.871975
$533$	0.870007	−	0.502299i	0.0376842	−	0.0217570i
$534$	2.92321	−	1.68772i	0.126500	−	0.0730347i
$535$	0.196892	+	2.79099i	0.00851237	+	0.120665i
$536$	−11.1531	+	2.98846i	−0.481739	+	0.129082i
$537$	20.0410	+	11.5706i	0.864831	+	0.499310i
$538$	−3.76880	+	2.17592i	−0.162484	+	0.0938104i
$539$	7.90028	+	13.6837i	0.340289	+	0.589398i
$540$	−42.3381	+	2.98676i	−1.82194	+	0.128530i
$541$	−14.4487	+	14.4487i	−0.621199	+	0.621199i	−0.945838	−	0.324639i	$-0.894757\pi$
$541$	−14.4487	+	14.4487i	−0.621199	+	0.621199i	0.324639	+	0.945838i	$0.394757\pi$
$542$	−0.283625	+	0.491252i	−0.0121827	+	0.0211011i
$543$	−32.6545	−	8.74975i	−1.40134	−	0.375488i
$544$			8.07069i			0.346028i
$545$	0.116218	−	0.238656i	0.00497824	−	0.0102229i
$546$	−1.59038	+	0.918204i	−0.0680618	+	0.0392955i
$547$	−44.9717			−1.92285			−0.961426	−	0.275065i	$-0.911301\pi$
$547$	−44.9717			−1.92285			−0.961426	+	0.275065i	$0.911301\pi$
$548$	−2.14129	−	7.99140i	−0.0914713	−	0.341376i
$549$	−6.19187	+	6.19187i	−0.264263	+	0.264263i
$550$	10.4129	−	1.47652i	0.444010	−	0.0629590i
$551$	13.5435	−	23.4581i	0.576974	−	0.999348i
$552$	−3.28015	−	12.2417i	−0.139613	−	0.521041i
$553$	23.1636	+	40.1205i	0.985015	+	1.70610i
$554$	−2.95148			−0.125396
$555$	−39.5177	−	13.0111i	−1.67743	−	0.552292i
$556$	−37.3099			−1.58229
$557$	−4.84121	−	8.38521i	−0.205128	−	0.355293i	0.745045	−	0.667014i	$-0.232428\pi$
$557$	−4.84121	−	8.38521i	−0.205128	−	0.355293i	−0.950174	+	0.311721i	$0.899095\pi$
$558$	−1.26786	−	4.73171i	−0.0536727	−	0.200309i
$559$	−0.998539	+	1.72952i	−0.0422337	+	0.0731509i
$560$	−18.1851	+	12.2823i	−0.768462	+	0.519023i
$561$	22.4604	−	22.4604i	0.948279	−	0.948279i
$562$	1.88417	+	7.03183i	0.0794790	+	0.296620i
$563$	1.67768			0.0707056			0.0353528	−	0.999375i	$-0.488745\pi$
$563$	1.67768			0.0707056			0.0353528	+	0.999375i	$0.488745\pi$
$564$	−12.1818	+	7.03316i	−0.512946	+	0.296150i
$565$	13.7502	−	4.74403i	0.578474	−	0.199583i
$566$			9.76250i			0.410349i
$567$	37.5273	+	10.0554i	1.57600	+	0.422287i
$568$	−6.11156	+	10.5855i	−0.256436	+	0.444159i
$569$	−21.0954	+	21.0954i	−0.884366	+	0.884366i	−0.993975	−	0.109609i	$-0.965040\pi$
$569$	−21.0954	+	21.0954i	−0.884366	+	0.884366i	0.109609	+	0.993975i	$0.465040\pi$
$570$	−6.02166	+	6.93575i	−0.252220	+	0.290506i
$571$	−19.7886	−	34.2748i	−0.828126	−	1.43436i	−0.899507	−	0.436907i	$-0.856074\pi$
$571$	−19.7886	−	34.2748i	−0.828126	−	1.43436i	0.0713808	−	0.997449i	$-0.477259\pi$
$572$	4.24617	−	2.45153i	0.177541	−	0.102503i
$573$	−36.5191	−	21.0843i	−1.52561	−	0.880811i
$574$	2.42417	−	0.649554i	0.101183	−	0.0271119i
$575$	12.8416	+	5.16996i	0.535531	+	0.215602i
$576$	25.3043	−	14.6095i	1.05435	−	0.608728i
$577$	−19.3289	+	11.1596i	−0.804673	+	0.464578i	−0.845103	−	0.534604i	$-0.820461\pi$
$577$	−19.3289	+	11.1596i	−0.804673	+	0.464578i	0.0404293	+	0.999182i	$0.487127\pi$
$578$	−5.17726			−0.215346
$579$	12.8370	+	47.9084i	0.533488	+	1.99101i
$580$	2.28160	+	32.3423i	0.0947383	+	1.34294i
$581$	−50.5605			−2.09760
$582$	−1.70294	−	1.70294i	−0.0705890	−	0.0705890i
$583$	−53.6433	−	14.3737i	−2.22168	−	0.595297i
$584$	0.221786	−	0.221786i	0.00917756	−	0.00917756i
$585$	−1.32529	+	6.84053i	−0.0547942	+	0.282821i
$586$	0.407062	+	0.407062i	0.0168156	+	0.0168156i
$587$	11.8905	−	20.5950i	0.490775	−	0.850047i	−0.509169	−	0.860667i	$-0.670047\pi$
$587$	11.8905	−	20.5950i	0.490775	−	0.850047i	0.999944	+	0.0106195i	$0.00338037\pi$
$588$	15.9546	−	4.27503i	0.657958	−	0.176299i
$589$	5.92840	+	3.42276i	0.244276	+	0.141033i
$590$	11.8804	−	0.838108i	0.489108	−	0.0345044i
$591$			41.2388i			1.69634i
$592$	18.7798	−	2.55271i	0.771845	−	0.104916i
$593$	−24.4760	−	24.4760i	−1.00511	−	1.00511i	−0.999987	−	0.00511997i	$-0.998370\pi$
$593$	−24.4760	−	24.4760i	−1.00511	−	1.00511i	−0.00511997	−	0.999987i	$-0.501630\pi$
$594$	20.8593	+	5.58924i	0.855869	+	0.229329i
$595$	7.56684	+	11.2034i	0.310210	+	0.459296i
$596$	27.8648	+	16.0877i	1.14139	+	0.658980i
$597$	−44.3024	−	25.5780i	−1.81318	−	1.04684i
$598$	−0.527727			−0.0215804
$599$	0.950077	+	0.548527i	0.0388191	+	0.0224122i	0.519284	−	0.854602i	$-0.326199\pi$
$599$	0.950077	+	0.548527i	0.0388191	+	0.0224122i	−0.480465	+	0.877014i	$0.659532\pi$
$600$	2.76133	−	22.7204i	0.112731	−	0.927558i
$601$	13.0027	+	22.5213i	0.530390	+	0.918663i	0.999371	+	0.0354548i	$0.0112880\pi$
$601$	13.0027	+	22.5213i	0.530390	+	0.918663i	−0.468981	+	0.883208i	$0.655379\pi$
$602$	−3.52782	+	3.52782i	−0.143783	+	0.143783i
$603$	34.6795	−	34.6795i	1.41226	−	1.41226i
$604$	26.9295	−	15.5478i	1.09575	−	0.632629i
$605$	40.0973	+	7.76852i	1.63019	+	0.315835i
$606$	−0.461832	−	0.461832i	−0.0187606	−	0.0187606i
$607$	−16.5968	−	28.7465i	−0.673644	−	1.16679i	−0.976863	−	0.213865i	$-0.931395\pi$
$607$	−16.5968	−	28.7465i	−0.673644	−	1.16679i	0.303219	−	0.952921i	$-0.401939\pi$
$608$	3.75838	−	14.0264i	0.152422	−	0.568848i
$609$	19.5565	−	72.9860i	0.792471	−	2.95754i
$610$	−0.670372	−	0.992548i	−0.0271426	−	0.0401871i
$611$	0.315589	+	1.17779i	0.0127674	+	0.0476484i
$612$	−11.2791	−	19.5361i	−0.455933	−	0.789698i
$613$	−40.6721	−	10.8981i	−1.64273	−	0.440169i	−0.685167	−	0.728386i	$-0.740271\pi$
$613$	−40.6721	−	10.8981i	−1.64273	−	0.440169i	−0.957565	+	0.288217i	$0.906938\pi$
$614$	1.98970	−	7.42567i	0.0802979	−	0.299676i
$615$	6.13665	−	12.6017i	0.247454	−	0.508149i
$616$	24.6303	−	6.59967i	0.992384	−	0.265908i
$617$	5.34041	−	19.9307i	0.214997	−	0.802379i	−0.771171	−	0.636628i	$-0.780329\pi$
$617$	5.34041	−	19.9307i	0.214997	−	0.802379i	0.986168	−	0.165751i	$-0.0530047\pi$
$618$	11.4058	+	11.4058i	0.458807	+	0.458807i
$619$	19.2166			0.772379			0.386189	−	0.922419i	$-0.373791\pi$
$619$	19.2166			0.772379			0.386189	+	0.922419i	$0.373791\pi$
$620$	−8.17364	+	0.576613i	−0.328261	+	0.0231573i
$621$	20.0994	+	20.0994i	0.806560	+	0.806560i
$622$	−0.886138	+	0.237440i	−0.0355309	+	0.00952048i
$623$			8.93921i			0.358142i
$624$	−1.20923	−	4.51292i	−0.0484081	−	0.180661i
$625$	18.0262	+	17.3221i	0.721048	+	0.692885i
$626$	1.58815	−	2.75076i	0.0634752	−	0.109942i
$627$	−49.4945	+	28.5756i	−1.97662	+	1.14120i
$628$	−7.10315	+	7.10315i	−0.283447	+	0.283447i
$629$	−1.57266	−	11.5698i	−0.0627062	−	0.461317i
$630$	−7.62098	+	15.6498i	−0.303627	+	0.623502i
$631$	−7.34303	+	27.4045i	−0.292321	+	1.09096i	0.651000	+	0.759077i	$0.274350\pi$
$631$	−7.34303	+	27.4045i	−0.292321	+	1.09096i	−0.943322	+	0.331880i	$0.892317\pi$
$632$	21.2610	−	5.69686i	0.845715	−	0.226609i
$633$	8.66532	+	32.3394i	0.344416	+	1.28538i
$634$	8.46153	−	2.26726i	0.336050	−	0.0900444i
$635$	−8.21239	−	3.99919i	−0.325899	−	0.158703i
$636$	−29.0277	+	50.2774i	−1.15102	+	1.99363i
$637$		−	1.43182i		−	0.0567307i
$638$	4.26964	−	15.9345i	0.169037	−	0.630854i
$639$		−	51.9181i		−	2.05385i
$640$	7.43606	+	21.5528i	0.293936	+	0.851948i
$641$	−5.71476	−	9.89826i	−0.225719	−	0.390958i	0.730816	−	0.682575i	$-0.239140\pi$
$641$	−5.71476	−	9.89826i	−0.225719	−	0.390958i	−0.956535	+	0.291617i	$0.905807\pi$
$642$	−1.28880	−	0.744088i	−0.0508648	−	0.0293668i
$643$		−	5.49147i		−	0.216562i	−0.994120	−	0.108281i	$-0.965465\pi$
$643$		−	5.49147i		−	0.216562i	0.994120	−	0.108281i	$-0.0345347\pi$
$644$	15.5732	+	4.17283i	0.613670	+	0.164432i
$645$	1.96079	+	27.7948i	0.0772062	+	1.09442i
$646$	−2.48992	−	0.667171i	−0.0979645	−	0.0262495i
$647$	−10.9876	+	19.0310i	−0.431966	+	0.748187i	−0.997043	−	0.0768511i	$-0.975513\pi$
$647$	−10.9876	+	19.0310i	−0.431966	+	0.748187i	0.565076	+	0.825039i	$0.308847\pi$
$648$	9.22947	−	15.9859i	0.362568	−	0.627986i
$649$	71.5810	+	19.1801i	2.80980	+	0.752884i
$650$	−0.884084	−	0.355928i	−0.0346766	−	0.0139606i
$651$	18.4453	+	4.94239i	0.722927	+	0.193708i
$652$		−	40.9118i		−	1.60223i
$653$	−28.3917	−	16.3919i	−1.11105	−	0.641467i	−0.171951	−	0.985106i	$-0.555007\pi$
$653$	−28.3917	−	16.3919i	−1.11105	−	0.641467i	−0.939102	+	0.343639i	$0.888340\pi$
$654$	0.0705942	+	0.122273i	0.00276045	+	0.00478124i
$655$	10.7175	−	22.0084i	0.418766	−	0.859941i
$656$			6.38505i			0.249294i
$657$	−0.344811	+	1.28685i	−0.0134524	+	0.0502049i
$658$			3.04615i			0.118751i
$659$	−1.71645	+	2.97297i	−0.0668632	+	0.115810i	−0.897519	−	0.440976i	$-0.854632\pi$
$659$	−1.71645	+	2.97297i	−0.0668632	+	0.115810i	0.830656	+	0.556786i	$0.187966\pi$
$660$	29.9506	−	61.5039i	1.16583	−	2.39404i
$661$	32.2356	−	8.63751i	1.25382	−	0.335960i	0.430009	−	0.902824i	$-0.358510\pi$
$661$	32.2356	−	8.63751i	1.25382	−	0.335960i	0.823811	+	0.566864i	$0.191844\pi$
$662$	−1.23673	−	4.61554i	−0.0480669	−	0.179388i
$663$	−2.78030	+	0.744980i	−0.107978	+	0.0289326i
$664$	−6.21744	+	23.2038i	−0.241283	+	0.900482i
$665$	−7.93356	−	22.9947i	−0.307650	−	0.891697i
$666$	11.8884	−	9.20186i	0.460665	−	0.356565i
$667$	15.3540	−	15.3540i	0.594509	−	0.594509i
$668$	9.08095	−	5.24289i	0.351352	−	0.202853i
$669$	−35.8935	+	62.1693i	−1.38772	+	2.40360i
$670$	3.75462	+	5.55907i	0.145054	+	0.214766i
$671$	−1.92885	−	7.19857i	−0.0744625	−	0.277898i
$672$		−	40.5077i		−	1.56262i
$673$	42.9238	−	11.5014i	1.65459	−	0.443346i	0.693697	−	0.720267i	$-0.255981\pi$
$673$	42.9238	−	11.5014i	1.65459	−	0.443346i	0.960893	+	0.276921i	$0.0893140\pi$
$674$	3.90550	+	3.90550i	0.150434	+	0.150434i
$675$	20.1157	+	47.2279i	0.774255	+	1.81780i
$676$	23.5903			0.907321
$677$	9.36277	+	9.36277i	0.359841	+	0.359841i	0.863754	−	0.503913i	$-0.168107\pi$
$677$	9.36277	+	9.36277i	0.359841	+	0.359841i	−0.503913	+	0.863754i	$0.668107\pi$
$678$	−2.00237	+	7.47295i	−0.0769006	+	0.286997i
$679$	6.16065	−	1.65074i	0.236424	−	0.0633496i
$680$	6.07209	−	2.09497i	0.232854	−	0.0803385i
$681$	2.30011	−	8.58412i	0.0881404	−	0.328944i
$682$	4.02702	+	1.07904i	0.154203	+	0.0413185i
$683$	19.5005	+	33.7758i	0.746165	+	1.29240i	0.949648	+	0.313318i	$0.101441\pi$
$683$	19.5005	+	33.7758i	0.746165	+	1.29240i	−0.203483	+	0.979078i	$0.565226\pi$
$684$	10.5050	+	39.2052i	0.401669	+	1.49905i
$685$	−8.29208	+	5.60051i	−0.316824	+	0.213984i
$686$	−1.29300	+	4.82553i	−0.0493668	+	0.184239i
$687$	−0.434063	+	1.61995i	−0.0165606	+	0.0618048i
$688$	−6.34654	−	10.9925i	−0.241959	−	0.419086i
$689$	3.55854	+	3.55854i	0.135570	+	0.135570i
$690$	−6.10168	+	4.12110i	−0.232287	+	0.156888i
$691$	8.34887	−	4.82022i	0.317606	−	0.183370i	−0.332719	−	0.943026i	$-0.607966\pi$
$691$	8.34887	−	4.82022i	0.317606	−	0.183370i	0.650325	+	0.759656i	$0.274633\pi$
$692$	−6.16698	+	6.16698i	−0.234433	+	0.234433i
$693$	−76.5857	+	76.5857i	−2.90925	+	2.90925i
$694$	−0.449102	−	0.777867i	−0.0170477	−	0.0295274i
$695$	14.7174	+	42.6572i	0.558264	+	1.61808i
$696$	−31.0907	−	17.9502i	−1.17849	−	0.680401i
$697$	3.93367			0.148998
$698$	−4.67868	−	2.70124i	−0.177091	−	0.102243i
$699$	−12.8275	−	7.40595i	−0.485180	−	0.280119i
$700$	23.2749	+	17.4940i	0.879708	+	0.661211i
$701$	−10.3952	−	2.78539i	−0.392622	−	0.105203i	0.0571063	−	0.998368i	$-0.481813\pi$
$701$	−10.3952	−	2.78539i	−0.392622	−	0.105203i	−0.449729	+	0.893165i	$0.648479\pi$
$702$	−1.38375	−	1.38375i	−0.0522262	−	0.0522262i
$703$	−2.65463	+	20.8401i	−0.100121	+	0.785997i
$704$			24.8674i			0.937225i
$705$	12.8465	+	11.1534i	0.483826	+	0.420060i
$706$	−6.91528	−	3.99254i	−0.260260	−	0.150261i
$707$	1.67075	−	0.447676i	0.0628351	−	0.0168366i
$708$	38.7342	−	67.0897i	1.45572	−	2.52138i
$709$	8.98141	+	8.98141i	0.337304	+	0.337304i	0.855352	−	0.518048i	$-0.173341\pi$
$709$	8.98141	+	8.98141i	0.337304	+	0.337304i	−0.518048	+	0.855352i	$0.673341\pi$
$710$	6.97169	+	1.35071i	0.261643	+	0.0506911i
$711$	−66.1090	+	66.1090i	−2.47928	+	2.47928i
$712$	4.10248	+	1.09926i	0.153747	+	0.0411963i
$713$	3.88031	+	3.88031i	0.145319	+	0.145319i
$714$	−7.19076			−0.269108
$715$	−4.47784	−	3.88769i	−0.167462	−	0.145392i
$716$	3.62013	+	13.5105i	0.135290	+	0.504911i
$717$	20.0753			0.749725
$718$	−9.40297	+	5.42881i	−0.350916	+	0.202601i
$719$	−35.4058	+	20.4415i	−1.32041	+	0.762340i	−0.983794	−	0.179301i	$-0.942616\pi$
$719$	−35.4058	+	20.4415i	−1.32041	+	0.762340i	−0.336618	+	0.941641i	$0.609283\pi$
$720$	−33.4407	−	29.0334i	−1.24626	−	1.08201i
$721$	−41.2622	+	11.0562i	−1.53669	+	0.411754i
$722$	−2.38117	−	1.37477i	−0.0886179	−	0.0511636i
$723$	−53.5275	+	30.9041i	−1.99071	+	1.14934i
$724$	−10.2167	−	17.6958i	−0.379699	−	0.657659i
$725$	36.0776	−	15.3665i	1.33989	−	0.570697i
$726$	−15.3610	+	15.3610i	−0.570101	+	0.570101i
$727$	6.09457	−	10.5561i	0.226035	−	0.391505i	−0.730594	−	0.682812i	$-0.760757\pi$
$727$	6.09457	−	10.5561i	0.226035	−	0.391505i	0.956630	+	0.291307i	$0.0940902\pi$
$728$	−2.23196	−	0.598051i	−0.0827218	−	0.0221652i
$729$		−	15.8072i		−	0.585450i
$730$	−0.163831	−	0.0797810i	−0.00606367	−	0.00295283i
$731$	−6.77223	+	3.90995i	−0.250480	+	0.144615i
$732$	−7.79065			−0.287951
$733$	−9.74150	−	36.3558i	−0.359811	−	1.34283i	−0.874321	−	0.485348i	$-0.838693\pi$
$733$	−9.74150	−	36.3558i	−0.359811	−	1.34283i	0.514511	−	0.857484i	$-0.327974\pi$
$734$	−5.10725	+	5.10725i	−0.188512	+	0.188512i
$735$	−11.1813	−	16.5549i	−0.412428	−	0.610638i
$736$	5.82034	−	10.0811i	0.214541	−	0.371595i
$737$	10.8031	+	40.3178i	0.397938	+	1.48513i
$738$	2.53238	+	4.38621i	0.0932182	+	0.161459i
$739$	23.6026			0.868235			0.434117	−	0.900856i	$-0.357060\pi$
$739$	23.6026			0.868235			0.434117	+	0.900856i	$0.357060\pi$
$740$	−11.3286	−	22.4503i	−0.416449	−	0.825290i
$741$	5.17895			0.190253
$742$	6.28614	+	10.8879i	0.230771	+	0.399708i
$743$	1.02765	+	3.83523i	0.0377007	+	0.140701i	0.982211	−	0.187781i	$-0.0601296\pi$
$743$	1.02765	+	3.83523i	0.0377007	+	0.140701i	−0.944510	+	0.328482i	$0.893463\pi$
$744$	4.53643	−	7.85733i	0.166314	−	0.288064i
$745$	7.40179	−	38.2045i	0.271181	−	1.39970i
$746$	0.730852	−	0.730852i	0.0267584	−	0.0267584i
$747$	−26.4087	−	98.5588i	−0.966246	−	3.60608i
$748$	19.1987			0.701975
$749$	3.41314	−	1.97058i	0.124713	−	0.0720034i
$750$	−13.0014	+	2.78865i	−0.474745	+	0.101827i
$751$		−	5.02392i		−	0.183325i	−0.995790	−	0.0916627i	$-0.970782\pi$
$751$		−	5.02392i		−	0.183325i	0.995790	−	0.0916627i	$-0.0292182\pi$
$752$	−7.48584	−	2.00583i	−0.272981	−	0.0731449i
$753$	−17.5009	+	30.3124i	−0.637768	+	1.10465i
$754$	−1.05705	+	1.05705i	−0.0384955	+	0.0384955i
$755$	−28.3988	−	24.6561i	−1.03354	−	0.897326i
$756$	29.8928	+	51.7759i	1.08719	+	1.88307i
$757$	−38.4917	+	22.2232i	−1.39900	+	0.807715i	−0.994288	−	0.106728i	$-0.965963\pi$
$757$	−38.4917	+	22.2232i	−1.39900	+	0.807715i	−0.404715	+	0.914443i	$0.632629\pi$
$758$	7.48952	+	4.32408i	0.272032	+	0.157058i
$759$	−44.2531	+	11.8576i	−1.60629	+	0.430403i
$760$	−11.5286	+	0.813289i	−0.418186	+	0.0295011i
$761$	20.2158	−	11.6716i	0.732821	−	0.423095i	−0.0866322	−	0.996240i	$-0.527610\pi$
$761$	20.2158	−	11.6716i	0.732821	−	0.423095i	0.819453	+	0.573146i	$0.194277\pi$
$762$	4.20754	−	2.42922i	0.152423	−	0.0880014i
$763$	−0.373911			−0.0135365
$764$	−6.59669	−	24.6192i	−0.238660	−	0.890690i
$765$	−17.8868	+	20.6020i	−0.646698	+	0.744866i
$766$	3.64860			0.131829
$767$	−4.74848	−	4.74848i	−0.171458	−	0.171458i
$768$	15.4497	+	4.13973i	0.557492	+	0.149379i
$769$	−6.34019	+	6.34019i	−0.228633	+	0.228633i	−0.812121	−	0.583488i	$-0.801687\pi$
$769$	−6.34019	+	6.34019i	−0.228633	+	0.228633i	0.583488	+	0.812121i	$0.301687\pi$
$770$	−8.29166	−	12.2766i	−0.298811	−	0.442417i
$771$	5.19387	+	5.19387i	0.187052	+	0.187052i
$772$	−14.9892	+	25.9620i	−0.539472	+	0.934393i
$773$	23.8688	−	6.39564i	0.858503	−	0.230035i	0.197393	−	0.980324i	$-0.436753\pi$
$773$	23.8688	−	6.39564i	0.858503	−	0.230035i	0.661110	+	0.750289i	$0.270086\pi$
$774$	−8.71952	−	5.03422i	−0.313417	−	0.180951i
$775$	3.88347	+	9.11765i	0.139498	+	0.327516i
$776$		−	3.03030i		−	0.108782i
$777$	7.89338	+	58.0701i	0.283173	+	2.08325i
$778$	−0.272810	−	0.272810i	−0.00978070	−	0.00978070i
$779$	−6.83652	−	1.83184i	−0.244944	−	0.0656325i
$780$	−5.13714	+	3.46965i	−0.183939	+	0.124233i
$781$	38.2662	+	22.0930i	1.36927	+	0.790550i
$782$	−1.78956	−	1.03320i	−0.0639945	−	0.0369472i
$783$	80.5192			2.87752
$784$	7.88116	+	4.55019i	0.281470	+	0.162507i
$785$	10.9231	+	5.31925i	0.389863	+	0.189852i
$786$	6.51009	+	11.2758i	0.232207	+	0.402194i
$787$	3.92787	−	3.92787i	0.140014	−	0.140014i	−0.633626	−	0.773640i	$-0.718434\pi$
$787$	3.92787	−	3.92787i	0.140014	−	0.140014i	0.773640	+	0.633626i	$0.218434\pi$
$788$	−17.6251	+	17.6251i	−0.627866	+	0.627866i
$789$	−1.78203	+	1.02886i	−0.0634419	+	0.0366282i
$790$	−7.15738	−	10.5972i	−0.254648	−	0.377031i
$791$	−14.4878	−	14.4878i	−0.515127	−	0.515127i
$792$	25.7298	+	44.5653i	0.914268	+	1.58356i
$793$	−0.174789	+	0.652322i	−0.00620695	+	0.0231646i
$794$	1.23226	−	4.59887i	0.0437314	−	0.163208i
$795$	68.9337	+	13.3553i	2.44483	+	0.473664i
$796$	−8.00263	−	29.8662i	−0.283646	−	1.05858i
$797$	7.23871	+	12.5378i	0.256408	+	0.444112i	0.965277	−	0.261228i	$-0.0841275\pi$
$797$	7.23871	+	12.5378i	0.256408	+	0.444112i	−0.708869	+	0.705340i	$0.750794\pi$
$798$	12.4972	+	3.34861i	0.442395	+	0.118539i
$799$	−1.23574	+	4.61185i	−0.0437174	+	0.163155i
$800$	16.5499	−	12.9630i	0.585127	−	0.458312i
$801$	−17.4254	+	4.66912i	−0.615696	+	0.164975i
$802$	1.80264	−	6.72756i	0.0636536	−	0.237558i
$803$	−0.801745	−	0.801745i	−0.0282930	−	0.0282930i
$804$	43.6339			1.53885
$805$	−1.37219	−	19.4512i	−0.0483635	−	0.685565i
$806$	−0.267141	−	0.267141i	−0.00940965	−	0.00940965i
$807$	33.0691	−	8.86084i	1.16409	−	0.311916i
$808$		−	0.821810i		−	0.0289112i
$809$	−2.46645	−	9.20493i	−0.0867159	−	0.323628i	0.908918	−	0.416976i	$-0.136910\pi$
$809$	−2.46645	−	9.20493i	−0.0867159	−	0.323628i	−0.995634	+	0.0933474i	$0.970243\pi$
$810$	−10.5284	−	2.03979i	−0.369930	−	0.0716709i
$811$	0.620382	−	1.07453i	0.0217846	−	0.0377320i	−0.854928	−	0.518747i	$-0.826399\pi$
$811$	0.620382	−	1.07453i	0.0217846	−	0.0377320i	0.876712	+	0.481015i	$0.159732\pi$
$812$	39.5518	−	22.8352i	1.38800	−	0.801360i
$813$	3.15548	−	3.15548i	0.110668	−	0.110668i
$814$	1.72331	+	12.6780i	0.0604018	+	0.444365i
$815$	−46.7754	+	16.1383i	−1.63847	+	0.565299i
$816$	4.73496	−	17.6711i	0.165757	−	0.618612i
$817$	13.5906	−	3.64159i	0.475474	−	0.127403i
$818$	0.0427312	+	0.159475i	0.00149406	+	0.00557591i
$819$	9.48030	−	2.54024i	0.331268	−	0.0887631i
$820$	8.00859	−	2.76309i	0.279672	−	0.0964914i
$821$	−21.0808	+	36.5130i	−0.735724	+	1.27431i	0.218681	+	0.975796i	$0.429825\pi$
$821$	−21.0808	+	36.5130i	−0.735724	+	1.27431i	−0.954405	+	0.298515i	$0.903509\pi$
$822$		−	5.32215i		−	0.185631i
$823$	5.70729	−	21.2999i	0.198944	−	0.742468i	−0.792267	−	0.610175i	$-0.791099\pi$
$823$	5.70729	−	21.2999i	0.198944	−	0.742468i	0.991211	−	0.132293i	$-0.0422341\pi$
$824$			20.2961i			0.707048i
$825$	−82.1332	−	9.98206i	−2.85951	−	0.347531i
$826$	−8.38815	−	14.5287i	−0.291861	−	0.505518i
$827$	22.0015	+	12.7026i	0.765069	+	0.441713i	0.831113	−	0.556104i	$-0.187704\pi$
$827$	22.0015	+	12.7026i	0.765069	+	0.441713i	−0.0660440	+	0.997817i	$0.521038\pi$
$828$			32.5367i			1.13073i
$829$	34.1099	+	9.13971i	1.18468	+	0.317435i	0.796783	−	0.604266i	$-0.206533\pi$
$829$	34.1099	+	9.13971i	1.18468	+	0.317435i	0.387901	+	0.921701i	$0.373200\pi$
$830$	13.9218	−	0.982118i	0.483232	−	0.0340898i
$831$	22.4280	+	6.00955i	0.778017	+	0.208469i
$832$	1.12672	−	1.95154i	0.0390620	−	0.0676573i
$833$	2.80326	−	4.85539i	0.0971273	−	0.168229i
$834$	−23.1833	−	6.21196i	−0.802774	−	0.215103i
$835$	−9.57642	−	8.31431i	−0.331406	−	0.287729i
$836$	−33.3664	−	8.94050i	−1.15400	−	0.309214i
$837$			20.3491i			0.703366i
$838$	7.00119	+	4.04214i	0.241852	+	0.139633i
$839$	8.80567	+	15.2519i	0.304005	+	0.526553i	0.977039	−	0.213059i	$-0.0683426\pi$
$839$	8.80567	+	15.2519i	0.304005	+	0.526553i	−0.673034	+	0.739611i	$0.735009\pi$
$840$	−30.4765	+	10.5149i	−1.05154	+	0.362799i
$841$		−	32.5089i		−	1.12100i
$842$	−2.18406	+	8.15101i	−0.0752676	+	0.280902i
$843$		−	57.2705i		−	1.97250i
$844$	−10.1181	+	17.5250i	−0.348279	+	0.603236i
$845$	−9.30556	−	26.9714i	−0.320121	−	0.927843i
$846$	−5.93794	+	1.59107i	−0.204151	+	0.0547020i
$847$	−14.8902	−	55.5710i	−0.511633	−	1.90944i
$848$	−30.8960	+	8.27857i	−1.06097	+	0.284287i
$849$	19.8776	−	74.1842i	0.682197	−	2.54599i
$850$	−2.30114	−	2.93786i	−0.0789285	−	0.100768i
$851$	−6.37936	+	15.5860i	−0.218682	+	0.534281i
$852$	32.6619	−	32.6619i	1.11898	−	1.11898i
$853$	8.75081	−	5.05228i	0.299622	−	0.172987i	−0.342651	−	0.939463i	$-0.611325\pi$
$853$	8.75081	−	5.05228i	0.299622	−	0.172987i	0.642273	+	0.766476i	$0.277992\pi$
$854$	−0.843558	+	1.46109i	−0.0288660	+	0.0499973i
$855$	40.6803	−	27.4757i	1.39124	−	0.939647i
$856$	−0.484645	−	1.80872i	−0.0165648	−	0.0618207i
$857$		−	13.8427i		−	0.472858i	−0.971649	−	0.236429i	$-0.924023\pi$
$857$		−	13.8427i		−	0.472858i	0.971649	−	0.236429i	$-0.0759771\pi$
$858$	3.04662	−	0.816340i	0.104010	−	0.0278694i
$859$	22.7197	+	22.7197i	0.775187	+	0.775187i	0.979008	−	0.203821i	$-0.0653362\pi$
$859$	22.7197	+	22.7197i	0.775187	+	0.775187i	−0.203821	+	0.979008i	$0.565336\pi$
$860$	−11.0412	+	12.7172i	−0.376501	+	0.433654i
$861$	−19.7436			−0.672859
$862$	8.84901	+	8.84901i	0.301399	+	0.301399i
$863$	3.55596	−	13.2710i	0.121046	−	0.451751i	−0.878622	−	0.477519i	$-0.841536\pi$
$863$	3.55596	−	13.2710i	0.121046	−	0.451751i	0.999668	+	0.0257675i	$0.00820296\pi$
$864$	41.6951	−	11.1722i	1.41850	−	0.380085i
$865$	9.48349	+	4.61818i	0.322448	+	0.157023i
$866$	1.08855	−	4.06252i	0.0369904	−	0.138050i
$867$	39.3414	+	10.5415i	1.33611	+	0.358008i
$868$	5.77099	+	9.99566i	0.195880	+	0.339275i
$869$	−20.5939	−	76.8573i	−0.698599	−	2.60721i
$870$	−3.96715	+	20.4765i	−0.134499	+	0.694218i
$871$	0.978960	−	3.65353i	0.0331708	−	0.123795i
$872$	−0.0459799	+	0.171599i	−0.00155708	+	0.00581109i
$873$	6.43565	+	11.1469i	0.217814	+	0.377265i
$874$	2.62902	+	2.62902i	0.0889279	+	0.0889279i
$875$	10.8201	−	33.5115i	0.365788	−	1.13289i
$876$	−1.02649	+	0.592642i	−0.0346817	+	0.0200235i
$877$	−22.9132	+	22.9132i	−0.773723	+	0.773723i	−0.978755	−	0.205032i	$-0.934270\pi$
$877$	−22.9132	+	22.9132i	−0.773723	+	0.773723i	0.205032	+	0.978755i	$0.434270\pi$
$878$	1.13015	−	1.13015i	0.0381409	−	0.0381409i
$879$	−2.26439	−	3.92204i	−0.0763761	−	0.132287i
$880$	35.6292	−	12.2927i	1.20106	−	0.414386i
$881$	−21.1405	−	12.2055i	−0.712240	−	0.411212i	0.0996497	−	0.995023i	$-0.468228\pi$
$881$	−21.1405	−	12.2055i	−0.712240	−	0.411212i	−0.811890	+	0.583810i	$0.801561\pi$
$882$	7.21863			0.243064
$883$	23.6339	+	13.6450i	0.795344	+	0.459192i	0.841840	−	0.539727i	$-0.181472\pi$
$883$	23.6339	+	13.6450i	0.795344	+	0.459192i	−0.0464967	+	0.998918i	$0.514806\pi$
$884$	−1.50667	−	0.869877i	−0.0506748	−	0.0292571i
$885$	−91.9844	−	17.8212i	−3.09202	−	0.599053i
$886$	1.29190	+	0.346163i	0.0434022	+	0.0116296i
$887$	−26.0700	−	26.0700i	−0.875344	−	0.875344i	0.117705	−	0.993049i	$-0.462446\pi$
$887$	−26.0700	−	26.0700i	−0.875344	−	0.875344i	−0.993049	+	0.117705i	$0.962446\pi$
$888$	27.6208	+	3.51837i	0.926893	+	0.118069i
$889$			12.8667i			0.431535i
$890$	−0.173641	−	2.46140i	−0.00582044	−	0.0825063i
$891$	−57.7882	−	33.3641i	−1.93598	−	1.11774i
$892$	−41.9111	+	11.2300i	−1.40329	+	0.376009i
$893$	4.29531	−	7.43970i	0.143737	−	0.248960i
$894$	14.6359	+	14.6359i	0.489497	+	0.489497i
$895$	14.0188	−	9.46838i	0.468598	−	0.316493i
$896$	22.7090	−	22.7090i	0.758654	−	0.758654i
$897$	4.01014	+	1.07451i	0.133895	+	0.0358770i
$898$	−9.42426	−	9.42426i	−0.314492	−	0.314492i
$899$	15.5447			0.518446
$900$	−21.9445	+	54.5077i	−0.731484	+	1.81692i
$901$	5.10023	+	19.0343i	0.169913	+	0.634124i
$902$	−4.31047			−0.143523
$903$	33.9906	−	19.6245i	1.13114	−	0.653062i
$904$	−8.43047	+	4.86733i	−0.280393	+	0.161885i
$905$	−16.2019	+	18.6613i	−0.538568	+	0.620323i
$906$	19.3219	−	5.17729i	0.641928	−	0.172004i
$907$	18.0858	+	10.4419i	0.600530	+	0.346716i	0.769250	−	0.638948i	$-0.220630\pi$
$907$	18.0858	+	10.4419i	0.600530	+	0.346716i	−0.168720	+	0.985664i	$0.553963\pi$
$908$	4.65182	−	2.68573i	0.154376	−	0.0891290i
$909$	1.74533	+	3.02300i	0.0578890	+	0.100267i
$910$	0.0944692	+	1.33913i	0.00313162	+	0.0443916i
$911$	31.8066	−	31.8066i	1.05380	−	1.05380i	0.0553319	−	0.998468i	$-0.482378\pi$
$911$	31.8066	−	31.8066i	1.05380	−	1.05380i	0.998468	−	0.0553319i	$-0.0176217\pi$
$912$	−16.4582	+	28.5065i	−0.544987	+	0.943945i
$913$	83.8805	+	22.4757i	2.77604	+	0.743838i
$914$		−	4.71478i		−	0.155951i
$915$	3.07314	+	8.90722i	0.101595	+	0.294464i
$916$	−0.877864	+	0.506835i	−0.0290055	+	0.0167463i
$917$	−34.4815			−1.13868
$918$	−1.98324	−	7.40154i	−0.0654566	−	0.244287i
$919$	−27.1309	+	27.1309i	−0.894965	+	0.894965i	−0.994985	−	0.100021i	$-0.968109\pi$
$919$	−27.1309	+	27.1309i	−0.894965	+	0.894965i	0.100021	+	0.994985i	$0.468109\pi$
$920$	−9.09550	−	1.76218i	−0.299870	−	0.0580972i
$921$	−30.2391	+	52.3756i	−0.996411	+	1.72584i
$922$	2.56682	+	9.57949i	0.0845336	+	0.315484i
$923$	−2.00203	−	3.46762i	−0.0658976	−	0.114138i
$924$	−96.3606			−3.17003
$925$	−21.1992	+	21.8081i	−0.697025	+	0.717047i
$926$	−2.17445			−0.0714569
$927$	−43.1041	−	74.6586i	−1.41573	−	2.45211i
$928$	−8.53446	−	31.8510i	−0.280157	−	1.04556i
$929$	−15.3825	+	26.6433i	−0.504684	+	0.874138i	0.495302	+	0.868721i	$0.335058\pi$
$929$	−15.3825	+	26.6433i	−0.504684	+	0.874138i	−0.999985	+	0.00541681i	$0.998276\pi$
$930$	−5.17488	−	1.00259i	−0.169691	−	0.0328762i
$931$	−7.13300	+	7.13300i	−0.233775	+	0.233775i
$932$	−2.31711	−	8.64758i	−0.0758995	−	0.283261i
$933$	7.21712			0.236278
$934$	−13.8920	+	8.02052i	−0.454559	+	0.262440i
$935$	−7.57322	−	21.9503i	−0.247671	−	0.717852i
$936$		−	4.66318i		−	0.152421i
$937$	−2.18405	−	0.585214i	−0.0713498	−	0.0191181i	0.222968	−	0.974826i	$-0.428426\pi$
$937$	−2.18405	−	0.585214i	−0.0713498	−	0.0191181i	−0.294317	+	0.955708i	$0.595092\pi$
$938$	4.72460	−	8.18326i	0.154264	−	0.267193i
$939$	−17.6690	+	17.6690i	−0.576607	+	0.576607i
$940$	0.723606	+	10.2573i	0.0236014	+	0.334556i
$941$	12.9110	+	22.3625i	0.420887	+	0.728998i	0.996026	−	0.0890574i	$-0.0283855\pi$
$941$	12.9110	+	22.3625i	0.420887	+	0.728998i	−0.575139	+	0.818056i	$0.695052\pi$
$942$	−5.59636	+	3.23106i	−0.182339	+	0.105274i
$943$	−4.91356	−	2.83685i	−0.160008	−	0.0923805i
$944$	41.2273	−	11.0468i	1.34184	−	0.359544i
$945$	47.4048	−	54.6009i	1.54208	−	1.77617i
$946$	7.42093	−	4.28448i	0.241275	−	0.139300i
$947$	−19.7812	+	11.4207i	−0.642802	+	0.371122i	−0.785693	−	0.618617i	$-0.787693\pi$
$947$	−19.7812	+	11.4207i	−0.642802	+	0.371122i	0.142891	+	0.989738i	$0.454360\pi$
$948$	−83.1787			−2.70152
$949$	0.0265927	+	0.0992455i	0.000863237	+	0.00322164i
$950$	2.63116	+	6.17746i	0.0853660	+	0.200423i
$951$	−68.9146			−2.23471
$952$	−6.39783	−	6.39783i	−0.207355	−	0.207355i
$953$	33.7005	+	9.03001i	1.09167	+	0.292511i	0.759366	−	0.650663i	$-0.225509\pi$
$953$	33.7005	+	9.03001i	1.09167	+	0.292511i	0.332299	+	0.943174i	$0.392176\pi$
$954$	−17.9407	+	17.9407i	−0.580851	+	0.580851i
$955$	−25.5455	+	17.2535i	−0.826632	+	0.558311i
$956$	8.57998	+	8.57998i	0.277496	+	0.277496i
$957$	−64.8891	+	112.391i	−2.09757	+	3.63309i
$958$	0.512876	−	0.137425i	0.0165703	−	0.00443999i
$959$	12.2064	+	7.04736i	0.394165	+	0.227571i
$960$	−2.21250	−	31.3627i	−0.0714081	−	1.01223i
$961$		−	27.0715i		−	0.873274i
$962$	0.439189	−	1.07302i	0.0141600	−	0.0345957i
$963$	5.62404	+	5.62404i	0.181232	+	0.181232i
$964$	−36.0852	−	9.66901i	−1.16223	−	0.311418i
$965$	35.5956	+	6.89635i	1.14586	+	0.222001i
$966$	8.98200	+	5.18576i	0.288991	+	0.166849i
$967$	52.3003	+	30.1956i	1.68186	+	0.971024i	0.960423	+	0.278547i	$0.0898529\pi$
$967$	52.3003	+	30.1956i	1.68186	+	0.971024i	0.721440	+	0.692477i	$0.243480\pi$
$968$	−27.3343			−0.878557
$969$	17.5622	+	10.1395i	0.564178	+	0.325728i
$970$	−1.66426	+	0.574197i	−0.0534362	+	0.0184364i
$971$	−19.6729	−	34.0744i	−0.631333	−	1.09350i	−0.987279	−	0.158994i	$-0.949175\pi$
$971$	−19.6729	−	34.0744i	−0.631333	−	1.09350i	0.355947	−	0.934506i	$-0.384159\pi$
$972$	−9.05945	+	9.05945i	−0.290582	+	0.290582i
$973$	44.9455	−	44.9455i	1.44089	−	1.44089i
$974$	−10.2583	+	5.92266i	−0.328698	+	0.189774i
$975$	5.99335	+	4.50475i	0.191941	+	0.144268i
$976$	−3.03511	−	3.03511i	−0.0971517	−	0.0971517i
$977$	19.9884	+	34.6209i	0.639486	+	1.10762i	0.985546	+	0.169410i	$0.0541861\pi$
$977$	19.9884	+	34.6209i	0.639486	+	1.10762i	−0.346060	+	0.938213i	$0.612481\pi$
$978$	6.81167	−	25.4215i	0.217813	−	0.812890i
$979$	3.97375	−	14.8303i	0.127002	−	0.473977i
$980$	2.29665	−	11.8542i	0.0733638	−	0.378668i
$981$	−0.195301	−	0.728873i	−0.00623548	−	0.0232711i
$982$	2.74701	+	4.75796i	0.0876607	+	0.151833i
$983$	34.7155	+	9.30200i	1.10725	+	0.296688i	0.765715	−	0.643180i	$-0.222385\pi$
$983$	34.7155	+	9.30200i	1.10725	+	0.296688i	0.341539	+	0.939868i	$0.389052\pi$
$984$	−2.42787	+	9.06093i	−0.0773976	+	0.288852i
$985$	27.1036	+	13.1986i	0.863591	+	0.420544i
$986$	−5.65407	+	1.51500i	−0.180062	+	0.0482475i
$987$	6.20233	−	23.1474i	0.197422	−	0.736790i
$988$	2.21343	+	2.21343i	0.0704187	+	0.0704187i
$989$	11.2789			0.358650
$990$	19.6001	−	22.5754i	0.622933	−	0.717494i
$991$	4.65585	+	4.65585i	0.147898	+	0.147898i	0.777178	−	0.629280i	$-0.216650\pi$
$991$	4.65585	+	4.65585i	0.147898	+	0.147898i	−0.629280	+	0.777178i	$0.716650\pi$
$992$	8.04950	−	2.15686i	0.255572	−	0.0684802i
$993$			37.5911i			1.19292i
$994$	−2.58895	−	9.66209i	−0.0821164	−	0.306463i
$995$	−30.9899	+	20.9308i	−0.982447	+	0.663549i
$996$	45.3898	−	78.6175i	1.43823	−	2.49109i
$997$	19.8015	−	11.4324i	0.627119	−	0.362067i	−0.152516	−	0.988301i	$-0.548738\pi$
$997$	19.8015	−	11.4324i	0.627119	−	0.362067i	0.779636	+	0.626234i	$0.215404\pi$
$998$	−2.40694	+	2.40694i	−0.0761904	+	0.0761904i
$999$	−57.5952	+	24.1407i	−1.82223	+	0.763777i

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

)

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	185.2.p.a.103.11	yes	68
5.2	odd	4		185.2.u.a.177.7	yes	68
5.3	odd	4		925.2.y.b.732.11		68
5.4	even	2		925.2.t.b.843.7		68
37.23	odd	12		185.2.u.a.23.7	yes	68
185.23	even	12		925.2.t.b.282.7		68
185.97	even	12	inner	185.2.p.a.97.11	✓	68
185.134	odd	12		925.2.y.b.393.11		68

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
185.2.p.a.97.11	✓	68	185.97	even	12	inner
185.2.p.a.103.11	yes	68	1.1	even	1	trivial
185.2.u.a.23.7	yes	68	37.23	odd	12
185.2.u.a.177.7	yes	68	5.2	odd	4
925.2.t.b.282.7		68	185.23	even	12
925.2.t.b.843.7		68	5.4	even	2
925.2.y.b.393.11		68	185.134	odd	12
925.2.y.b.732.11		68	5.3	odd	4

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Classical	Maass
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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	185.2.p.a.103.11

Level	$185$
Weight	$2$
Character	185.103
Analytic conductor	$1.477$
Analytic rank	$0$
Dimension	$68$
Inner twists	$2$