LMFDB - Embedded newform 296.2.q.a.101.10

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(85,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(6)) chi = DirichletCharacter(H, H._module([0, 3, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.85"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.q (of order $6$, degree $2$, minimal)

Newform invariants

comment:select newform

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

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

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			101.10
Character	$\chi$	$=$	296.101
Dual form			296.2.q.a.85.10

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.04865 - 0.948854i) q^{2} +(2.63548 - 1.52159i) q^{3} +(0.199351 + 1.99004i) q^{4} +(-1.82516 - 3.16127i) q^{5} +(-4.20748 - 0.905059i) q^{6} +(1.55620 + 2.69542i) q^{7} +(1.67921 - 2.27602i) q^{8} +(3.13050 - 5.42218i) q^{9} +(-1.08562 + 5.04689i) q^{10} +1.06934i q^{11} +(3.55342 + 4.94138i) q^{12} +(-2.93729 - 5.08753i) q^{13} +(0.925646 - 4.30318i) q^{14} +(-9.62034 - 5.55431i) q^{15} +(-3.92052 + 0.793432i) q^{16} +(1.88835 + 1.09024i) q^{17} +(-8.42767 + 2.71560i) q^{18} +(1.36772 + 2.36896i) q^{19} +(5.92721 - 4.26234i) q^{20} +(8.20268 + 4.73582i) q^{21} +(1.01465 - 1.12137i) q^{22} -0.407563i q^{23} +(0.962341 - 8.55347i) q^{24} +(-4.16242 + 7.20952i) q^{25} +(-1.74713 + 8.12211i) q^{26} -9.92382i q^{27} +(-5.05377 + 3.63424i) q^{28} +1.17373 q^{29} +(4.81818 + 14.9528i) q^{30} +5.75572i q^{31} +(4.86412 + 2.88797i) q^{32} +(1.62710 + 2.81822i) q^{33} +(-0.945747 - 2.93505i) q^{34} +(5.68064 - 9.83916i) q^{35} +(11.4144 + 5.14890i) q^{36} +(-0.797567 + 6.03025i) q^{37} +(0.813533 - 3.78198i) q^{38} +(-15.4823 - 8.93871i) q^{39} +(-10.2599 - 1.15433i) q^{40} +(-5.75210 - 9.96293i) q^{41} +(-4.10817 - 12.7494i) q^{42} +3.27430 q^{43} +(-2.12803 + 0.213173i) q^{44} -22.8546 q^{45} +(-0.386718 + 0.427392i) q^{46} +3.82592 q^{47} +(-9.12516 + 8.05651i) q^{48} +(-1.34354 + 2.32708i) q^{49} +(11.2057 - 3.61076i) q^{50} +6.63560 q^{51} +(9.53883 - 6.85952i) q^{52} +(7.95618 + 4.59350i) q^{53} +(-9.41626 + 10.4067i) q^{54} +(3.38047 - 1.95171i) q^{55} +(8.74803 + 0.984231i) q^{56} +(7.20919 + 4.16223i) q^{57} +(-1.23084 - 1.11370i) q^{58} +(-4.27927 + 7.41191i) q^{59} +(9.13547 - 20.2521i) q^{60} +(-0.719665 - 1.24650i) q^{61} +(5.46134 - 6.03576i) q^{62} +19.4868 q^{63} +(-2.36052 - 7.64382i) q^{64} +(-10.7220 + 18.5711i) q^{65} +(0.967815 - 4.49922i) q^{66} +(1.54131 - 0.889874i) q^{67} +(-1.79318 + 3.97523i) q^{68} +(-0.620145 - 1.07412i) q^{69} +(-15.2930 + 4.92778i) q^{70} +(4.97840 + 8.62284i) q^{71} +(-7.08422 - 16.2300i) q^{72} +10.7514 q^{73} +(6.55820 - 5.56687i) q^{74} +25.3341i q^{75} +(-4.44167 + 3.19407i) q^{76} +(-2.88232 + 1.66411i) q^{77} +(7.75404 + 24.0641i) q^{78} +(8.74920 - 5.05135i) q^{79} +(9.66383 + 10.9457i) q^{80} +(-5.70853 - 9.88747i) q^{81} +(-3.42141 + 15.9056i) q^{82} +(0.270633 + 0.156250i) q^{83} +(-7.78927 + 17.2678i) q^{84} -7.95944i q^{85} +(-3.43361 - 3.10683i) q^{86} +(3.09334 - 1.78594i) q^{87} +(2.43383 + 1.79564i) q^{88} +(-7.03719 - 4.06293i) q^{89} +(23.9666 + 21.6857i) q^{90} +(9.14203 - 15.8345i) q^{91} +(0.811066 - 0.0812479i) q^{92} +(8.75787 + 15.1691i) q^{93} +(-4.01207 - 3.63024i) q^{94} +(4.99261 - 8.64746i) q^{95} +(17.2136 + 0.209958i) q^{96} +18.4112i q^{97} +(3.61698 - 1.16548i) q^{98} +(5.79815 + 3.34756i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) $ 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$-1$	$1$

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 $

$2$	−1.04865	−	0.948854i	−0.741510	−	0.670941i
$2$	−1.04865	−	0.948854i	−0.741510	−	0.670941i
$3$	2.63548	−	1.52159i	1.52159	−	0.878493i	0.521919	−	0.852995i	$-0.325216\pi$
$3$	2.63548	−	1.52159i	1.52159	−	0.878493i	0.999675	−	0.0254978i	$-0.00811708\pi$
$4$	0.199351	+	1.99004i	0.0996753	+	0.995020i
$5$	−1.82516	−	3.16127i	−0.816236	−	1.41376i	−0.908437	−	0.418023i	$-0.862723\pi$
$5$	−1.82516	−	3.16127i	−0.816236	−	1.41376i	0.0922002	−	0.995740i	$-0.470610\pi$
$6$	−4.20748	−	0.905059i	−1.71769	−	0.369489i
$7$	1.55620	+	2.69542i	0.588190	+	1.01877i	0.994469	+	0.105026i	$0.0334926\pi$
$7$	1.55620	+	2.69542i	0.588190	+	1.01877i	−0.406280	+	0.913749i	$0.633174\pi$
$8$	1.67921	−	2.27602i	0.593690	−	0.804694i
$9$	3.13050	−	5.42218i	1.04350	−	1.80739i
$10$	−1.08562	+	5.04689i	−0.343304	+	1.59597i
$11$			1.06934i			0.322418i	0.986920	+	0.161209i	$0.0515393\pi$
$11$			1.06934i			0.322418i	−0.986920	+	0.161209i	$0.948461\pi$
$12$	3.55342	+	4.94138i	1.02578	+	1.42645i
$13$	−2.93729	−	5.08753i	−0.814656	−	1.41103i	−0.909574	−	0.415541i	$-0.863592\pi$
$13$	−2.93729	−	5.08753i	−0.814656	−	1.41103i	0.0949180	−	0.995485i	$-0.469741\pi$
$14$	0.925646	−	4.30318i	0.247389	−	1.15007i
$15$	−9.62034	−	5.55431i	−2.48396	−	1.43412i
$16$	−3.92052	+	0.793432i	−0.980130	+	0.198358i
$17$	1.88835	+	1.09024i	0.457992	+	0.264422i	0.711200	−	0.702990i	$-0.248152\pi$
$17$	1.88835	+	1.09024i	0.457992	+	0.264422i	−0.253208	+	0.967412i	$0.581486\pi$
$18$	−8.42767	+	2.71560i	−1.98642	+	0.640074i
$19$	1.36772	+	2.36896i	0.313776	+	0.543476i	0.979177	−	0.203010i	$-0.0650725\pi$
$19$	1.36772	+	2.36896i	0.313776	+	0.543476i	−0.665400	+	0.746487i	$0.731739\pi$
$20$	5.92721	−	4.26234i	1.32536	−	0.953089i
$21$	8.20268	+	4.73582i	1.78997	+	1.03344i
$22$	1.01465	−	1.12137i	0.216323	−	0.239076i
$23$		−	0.407563i		−	0.0849827i	−0.999097	−	0.0424914i	$-0.986471\pi$
$23$		−	0.407563i		−	0.0849827i	0.999097	−	0.0424914i	$-0.0135295\pi$
$24$	0.962341	−	8.55347i	0.196437	−	1.74597i
$25$	−4.16242	+	7.20952i	−0.832484	+	1.44190i
$26$	−1.74713	+	8.12211i	−0.342640	+	1.59288i
$27$		−	9.92382i		−	1.90984i
$28$	−5.05377	+	3.63424i	−0.955073	+	0.686807i
$29$	1.17373			0.217956			0.108978	−	0.994044i	$-0.465242\pi$
$29$	1.17373			0.217956			0.108978	+	0.994044i	$0.465242\pi$
$30$	4.81818	+	14.9528i	0.879675	+	2.73000i
$31$			5.75572i			1.03376i	0.856059	+	0.516879i	$0.172906\pi$
$31$			5.75572i			1.03376i	−0.856059	+	0.516879i	$0.827094\pi$
$32$	4.86412	+	2.88797i	0.859863	+	0.510525i
$33$	1.62710	+	2.81822i	0.283242	+	0.490589i
$34$	−0.945747	−	2.93505i	−0.162194	−	0.503357i
$35$	5.68064	−	9.83916i	0.960204	−	1.66312i
$36$	11.4144	+	5.14890i	1.90240	+	0.858150i
$37$	−0.797567	+	6.03025i	−0.131119	+	0.991367i
$37$	−0.797567	+	6.03025i	−0.131119	+	0.991367i
$38$	0.813533	−	3.78198i	0.131972	−	0.613519i
$39$	−15.4823	−	8.93871i	−2.47915	−	1.43134i
$40$	−10.2599	−	1.15433i	−1.62224	−	0.182516i
$41$	−5.75210	−	9.96293i	−0.898327	−	1.55595i	−0.829632	−	0.558311i	$-0.811450\pi$
$41$	−5.75210	−	9.96293i	−0.898327	−	1.55595i	−0.0686953	−	0.997638i	$-0.521884\pi$
$42$	−4.10817	−	12.7494i	−0.633905	−	1.96727i
$43$	3.27430			0.499326			0.249663	−	0.968333i	$-0.419680\pi$
$43$	3.27430			0.499326			0.249663	+	0.968333i	$0.419680\pi$
$44$	−2.12803	+	0.213173i	−0.320812	+	0.0321371i
$45$	−22.8546			−3.40697
$46$	−0.386718	+	0.427392i	−0.0570184	+	0.0630156i
$47$	3.82592			0.558068			0.279034	−	0.960281i	$-0.409986\pi$
$47$	3.82592			0.558068			0.279034	+	0.960281i	$0.409986\pi$
$48$	−9.12516	+	8.05651i	−1.31710	+	1.16286i
$49$	−1.34354	+	2.32708i	−0.191935	+	0.332441i
$50$	11.2057	−	3.61076i	1.58473	−	0.510639i
$51$	6.63560			0.929171
$52$	9.53883	−	6.85952i	1.32280	−	0.951244i
$53$	7.95618	+	4.59350i	1.09287	+	0.630966i	0.934338	−	0.356388i	$-0.115992\pi$
$53$	7.95618	+	4.59350i	1.09287	+	0.630966i	0.158528	+	0.987355i	$0.449325\pi$
$54$	−9.41626	+	10.4067i	−1.28139	+	1.41617i
$55$	3.38047	−	1.95171i	0.455822	−	0.263169i
$56$	8.74803	+	0.984231i	1.16900	+	0.131523i
$57$	7.20919	+	4.16223i	0.954880	+	0.551300i
$58$	−1.23084	−	1.11370i	−0.161617	−	0.146236i
$59$	−4.27927	+	7.41191i	−0.557113	+	0.964948i	0.440622	+	0.897692i	$0.354758\pi$
$59$	−4.27927	+	7.41191i	−0.557113	+	0.964948i	−0.997736	+	0.0672560i	$0.978576\pi$
$60$	9.13547	−	20.2521i	1.17938	−	2.61454i
$61$	−0.719665	−	1.24650i	−0.0921436	−	0.159597i	0.816269	−	0.577672i	$-0.196039\pi$
$61$	−0.719665	−	1.24650i	−0.0921436	−	0.159597i	−0.908413	+	0.418074i	$0.862705\pi$
$62$	5.46134	−	6.03576i	0.693591	−	0.766542i
$63$	19.4868			2.45510
$64$	−2.36052	−	7.64382i	−0.295065	−	0.955477i
$65$	−10.7220	+	18.5711i	−1.32990	+	2.30346i
$66$	0.967815	−	4.49922i	0.119130	−	0.553815i
$67$	1.54131	−	0.889874i	0.188301	−	0.108715i	−0.402886	−	0.915250i	$-0.631993\pi$
$67$	1.54131	−	0.889874i	0.188301	−	0.108715i	0.591187	+	0.806535i	$0.298660\pi$
$68$	−1.79318	+	3.97523i	−0.217454	+	0.482068i
$69$	−0.620145	−	1.07412i	−0.0746567	−	0.129309i
$70$	−15.2930	+	4.92778i	−1.82786	+	0.588982i
$71$	4.97840	+	8.62284i	0.590827	+	1.02334i	0.994121	+	0.108272i	$0.0345317\pi$
$71$	4.97840	+	8.62284i	0.590827	+	1.02334i	−0.403294	+	0.915070i	$0.632135\pi$
$72$	−7.08422	−	16.2300i	−0.834884	−	1.91273i
$73$	10.7514			1.25836			0.629179	−	0.777260i	$-0.283391\pi$
$73$	10.7514			1.25836			0.629179	+	0.777260i	$0.283391\pi$
$74$	6.55820	−	5.56687i	0.762375	−	0.647135i
$75$			25.3341i			2.92532i
$76$	−4.44167	+	3.19407i	−0.509494	+	0.366385i
$77$	−2.88232	+	1.66411i	−0.328471	+	0.189643i
$78$	7.75404	+	24.0641i	0.877973	+	2.72472i
$79$	8.74920	−	5.05135i	0.984362	−	0.568322i	0.0807777	−	0.996732i	$-0.474260\pi$
$79$	8.74920	−	5.05135i	0.984362	−	0.568322i	0.903584	+	0.428411i	$0.140926\pi$
$80$	9.66383	+	10.9457i	1.08045	+	1.22376i
$81$	−5.70853	−	9.88747i	−0.634281	−	1.09861i
$82$	−3.42141	+	15.9056i	−0.377831	+	1.75648i
$83$	0.270633	+	0.156250i	0.0297059	+	0.0171507i	0.514779	−	0.857323i	$-0.327874\pi$
$83$	0.270633	+	0.156250i	0.0297059	+	0.0171507i	−0.485074	+	0.874473i	$0.661207\pi$
$84$	−7.78927	+	17.2678i	−0.849878	+	1.88407i
$85$		−	7.95944i		−	0.863323i
$86$	−3.43361	−	3.10683i	−0.370255	−	0.335018i
$87$	3.09334	−	1.78594i	0.331640	−	0.191473i
$88$	2.43383	+	1.79564i	0.259448	+	0.191416i
$89$	−7.03719	−	4.06293i	−0.745941	−	0.430669i	0.0782844	−	0.996931i	$-0.475056\pi$
$89$	−7.03719	−	4.06293i	−0.745941	−	0.430669i	−0.824225	+	0.566262i	$0.808389\pi$
$90$	23.9666	+	21.6857i	2.52630	+	2.28588i
$91$	9.14203	−	15.8345i	0.958345	−	1.65990i
$92$	0.811066	−	0.0812479i	0.0845595	−	0.00847068i
$93$	8.75787	+	15.1691i	0.908149	+	1.57296i
$94$	−4.01207	−	3.63024i	−0.413813	−	0.374431i
$95$	4.99261	−	8.64746i	0.512231	−	0.887210i
$96$	17.2136	+	0.209958i	1.75685	+	0.0214287i
$97$			18.4112i			1.86937i	0.355475	+	0.934686i	$0.384319\pi$
$97$			18.4112i			1.86937i	−0.355475	+	0.934686i	$0.615681\pi$
$98$	3.61698	−	1.16548i	0.365370	−	0.117731i
$99$	5.79815	+	3.34756i	0.582736	+	0.336443i
$100$	−15.1770	−	6.84616i	−1.51770	−	0.684616i
$101$		−	2.16681i		−	0.215606i	−0.994172	−	0.107803i	$-0.965618\pi$
$101$		−	2.16681i		−	0.215606i	0.994172	−	0.107803i	$-0.0343815\pi$
$102$	−6.95845	−	6.29622i	−0.688990	−	0.623419i
$103$		−	11.0709i		−	1.09085i	−0.838159	−	0.545426i	$-0.816368\pi$
$103$		−	11.0709i		−	1.09085i	0.838159	−	0.545426i	$-0.183632\pi$
$104$	−16.5116	−	1.85770i	−1.61910	−	0.182163i
$105$		−	34.5745i		−	3.37413i
$106$	−3.98472	−	12.3663i	−0.387030	−	1.20112i
$107$	0.170996	−	0.0987248i	0.0165308	−	0.00954408i	−0.491712	−	0.870758i	$-0.663629\pi$
$107$	0.170996	−	0.0987248i	0.0165308	−	0.00954408i	0.508243	+	0.861214i	$0.330295\pi$
$108$	19.7488	−	1.97832i	1.90033	−	0.190364i
$109$	−4.42917	+	7.67155i	−0.424238	+	0.734802i	−0.996349	−	0.0853746i	$-0.972791\pi$
$109$	−4.42917	+	7.67155i	−0.424238	+	0.734802i	0.572111	+	0.820176i	$0.306125\pi$
$110$	−5.39683	−	1.16090i	−0.514568	−	0.110687i
$111$	7.07362	+	17.1062i	0.671398	+	1.62364i
$112$	−8.23976	−	9.33272i	−0.778584	−	0.881859i
$113$	0.112140	+	0.0647443i	0.0105493	+	0.00609063i	0.505265	−	0.862964i	$-0.331395\pi$
$113$	0.112140	+	0.0647443i	0.0105493	+	0.00609063i	−0.494716	+	0.869055i	$0.664728\pi$
$114$	−3.61060	−	11.2052i	−0.338163	−	1.04946i
$115$	−1.28842	+	0.743867i	−0.120145	+	0.0693660i
$116$	0.233984	+	2.33577i	0.0217248	+	0.216870i
$117$	−36.7807			−3.40037
$118$	11.5203	−	3.71213i	1.06053	−	0.341729i
$119$			6.78654i			0.622121i
$120$	−28.7963	+	12.5692i	−2.62873	+	1.14741i
$121$	9.85652			0.896047
$122$	−0.428064	+	1.99000i	−0.0387551	+	0.180166i
$123$	−30.3191	−	17.5047i	−2.73378	−	1.57835i
$124$	−11.4541	+	1.14741i	−1.02861	+	0.103040i
$125$	12.1367			1.08554
$126$	−20.4349	−	18.4901i	−1.82048	−	1.64723i
$127$	−6.35721	+	11.0110i	−0.564111	+	0.977069i	0.433021	+	0.901384i	$0.357448\pi$
$127$	−6.35721	+	11.0110i	−0.564111	+	0.977069i	−0.997132	+	0.0756848i	$0.975886\pi$
$128$	−4.77750	+	10.2555i	−0.422276	+	0.906467i
$129$	8.62934	−	4.98215i	0.759771	−	0.438654i
$130$	28.8650	−	9.30102i	2.53163	−	0.815753i
$131$	−0.863835	+	1.49621i	−0.0754736	+	0.130724i	−0.901292	−	0.433212i	$-0.857380\pi$
$131$	−0.863835	+	1.49621i	−0.0754736	+	0.130724i	0.825819	+	0.563936i	$0.190714\pi$
$132$	−5.28400	+	3.79981i	−0.459913	+	0.330731i
$133$	−4.25690	+	7.37317i	−0.369120	+	0.639335i
$134$	−2.46066	−	0.529306i	−0.212569	−	0.0457251i
$135$	−31.3719	+	18.1126i	−2.70006	+	1.55888i
$136$	5.65234	−	2.46718i	0.484684	−	0.211559i
$137$	−18.8968			−1.61447			−0.807233	−	0.590233i	$-0.799036\pi$
$137$	−18.8968			−1.61447			−0.807233	+	0.590233i	$0.799036\pi$
$138$	−0.368868	+	1.71481i	−0.0314002	+	0.145974i
$139$	−17.8858	−	10.3263i	−1.51705	−	0.875869i	−0.999799	−	0.0200356i	$-0.993622\pi$
$139$	−17.8858	−	10.3263i	−1.51705	−	0.875869i	−0.517251	−	0.855834i	$-0.673045\pi$
$140$	20.7128	+	9.34327i	1.75055	+	0.789650i
$141$	10.0831	−	5.82150i	0.849153	−	0.490258i
$142$	2.96120	−	13.7661i	0.248498	−	1.15523i
$143$	5.44029	−	3.14095i	0.454940	−	0.262660i
$144$	−7.97104	+	23.7416i	−0.664254	+	1.97847i
$145$	−2.14224	−	3.71047i	−0.177904	−	0.308138i
$146$	−11.2745	−	10.2015i	−0.933086	−	0.844285i
$147$			8.17731i			0.674453i
$148$	−12.1594	−	0.385057i	−0.999499	−	0.0316515i
$149$		−	2.95939i		−	0.242442i	−0.992626	−	0.121221i	$-0.961319\pi$
$149$		−	2.95939i		−	0.242442i	0.992626	−	0.121221i	$-0.0386810\pi$
$150$	24.0383	−	26.5667i	1.96272	−	2.16916i
$151$	−6.08356	−	10.5370i	−0.495073	−	0.857491i	0.504911	−	0.863171i	$-0.331525\pi$
$151$	−6.08356	−	10.5370i	−0.495073	−	0.857491i	−0.999984	+	0.00568025i	$0.998192\pi$
$152$	7.68848	+	0.865022i	0.623618	+	0.0701625i
$153$	11.8229	−	6.82598i	0.955828	−	0.551848i
$154$	4.60155	+	0.989829i	0.370804	+	0.0797627i
$155$	18.1954	−	10.5051i	1.46149	−	0.843791i
$156$	14.7020	−	32.5923i	1.17710	−	2.60948i
$157$	8.28147	+	4.78131i	0.660934	+	0.381590i	0.792633	−	0.609700i	$-0.208710\pi$
$157$	8.28147	+	4.78131i	0.660934	+	0.381590i	−0.131699	+	0.991290i	$0.542043\pi$
$158$	−13.9679	−	3.00460i	−1.11123	−	0.239033i
$159$	27.9578			2.21720
$160$	0.251845	−	20.6478i	0.0199101	−	1.63235i
$161$	1.09855	−	0.634251i	0.0865782	−	0.0499860i
$162$	−3.39549	+	15.7851i	−0.266775	+	1.24019i
$163$	−5.32733	+	9.22721i	−0.417269	+	0.722731i	−0.995664	−	0.0930261i	$-0.970346\pi$
$163$	−5.32733	+	9.22721i	−0.417269	+	0.722731i	0.578395	+	0.815757i	$0.303679\pi$
$164$	18.6799	−	13.4330i	1.45866	−	1.04894i
$165$	5.93943	−	10.2874i	0.462384	−	0.800873i
$166$	−0.135542	−	0.420644i	−0.0105201	−	0.0326483i
$167$	−3.15673	+	1.82254i	−0.244275	+	0.141032i	−0.617140	−	0.786853i	$-0.711709\pi$
$167$	−3.15673	+	1.82254i	−0.244275	+	0.141032i	0.372865	+	0.927886i	$0.378375\pi$
$168$	24.5528	−	10.7170i	1.89429	−	0.826837i
$169$	−10.7553	+	18.6287i	−0.827330	+	1.43298i
$170$	−7.55235	+	8.34670i	−0.579239	+	0.640163i
$171$	17.1266			1.30970
$172$	0.652733	+	6.51598i	0.0497705	+	0.496839i
$173$	−5.71390	−	3.29892i	−0.434420	−	0.250812i	0.266808	−	0.963750i	$-0.414031\pi$
$173$	−5.71390	−	3.29892i	−0.434420	−	0.250812i	−0.701228	+	0.712937i	$0.747364\pi$
$174$	−4.93843	−	1.06229i	−0.374382	−	0.0805323i
$175$	−25.9103			−1.95863
$176$	−0.848447	−	4.19236i	−0.0639541	−	0.316011i
$177$			26.0452i			1.95768i
$178$	3.52446	+	10.9379i	0.264169	+	0.819828i
$179$	−17.0948			−1.27773			−0.638863	−	0.769320i	$-0.720595\pi$
$179$	−17.0948			−1.27773			−0.638863	+	0.769320i	$0.720595\pi$
$180$	−4.55609	−	45.4816i	−0.339591	−	3.39000i
$181$	12.8469	−	7.41718i	0.954905	−	0.551314i	0.0603035	−	0.998180i	$-0.480793\pi$
$181$	12.8469	−	7.41718i	0.954905	−	0.551314i	0.894601	+	0.446866i	$0.147460\pi$
$182$	−24.6114	+	7.93042i	−1.82432	+	0.587842i
$183$	−3.79332	−	2.19007i	−0.280410	−	0.161895i
$184$	−0.927620	−	0.684383i	−0.0683851	−	0.0504534i
$185$	20.5189	−	8.48484i	1.50858	−	0.623818i
$186$	5.20927	−	24.2170i	0.381962	−	1.77568i
$187$	−1.16583	+	2.01928i	−0.0852543	+	0.147665i
$188$	0.762700	+	7.61373i	0.0556256	+	0.555289i
$189$	26.7489	−	15.4435i	1.94570	−	1.12335i
$190$	−13.4407	+	4.33093i	−0.975091	+	0.314199i
$191$			4.00299i			0.289646i	0.989458	+	0.144823i	$0.0462613\pi$
$191$			4.00299i			0.289646i	−0.989458	+	0.144823i	$0.953739\pi$
$192$	−17.8519	−	16.5534i	−1.28835	−	1.19464i
$193$		−	2.90834i		−	0.209347i	−0.994507	−	0.104674i	$-0.966620\pi$
$193$		−	2.90834i		−	0.209347i	0.994507	−	0.104674i	$-0.0333798\pi$
$194$	17.4695	−	19.3070i	1.25424	−	1.38616i
$195$			65.2583i			4.67325i
$196$	−4.89883	−	2.20980i	−0.349916	−	0.157843i
$197$	−17.8736	−	10.3193i	−1.27344	−	0.735222i	−0.297808	−	0.954626i	$-0.596255\pi$
$197$	−17.8736	−	10.3193i	−1.27344	−	0.735222i	−0.975634	+	0.219404i	$0.929589\pi$
$198$	−2.90390	−	9.01203i	−0.206371	−	0.640457i
$199$		−	10.4744i		−	0.742507i	−0.928532	−	0.371254i	$-0.878928\pi$
$199$		−	10.4744i		−	0.742507i	0.928532	−	0.371254i	$-0.121072\pi$
$200$	9.41943	+	21.5800i	0.666055	+	1.52594i
$201$	2.70805	−	4.69049i	0.191011	−	0.330841i
$202$	−2.05599	+	2.27223i	−0.144659	+	0.159874i
$203$	1.82656	+	3.16370i	0.128199	+	0.222048i
$204$	1.32281	+	13.2051i	0.0926154	+	0.924543i
$205$	−20.9970	+	36.3679i	−1.46649	+	2.54004i
$206$	−10.5047	+	11.6096i	−0.731897	+	0.808878i
$207$	−2.20988	−	1.27587i	−0.153597	−	0.0886794i
$208$	15.5523	+	17.6152i	1.07836	+	1.22140i
$209$	−2.53322	+	1.46255i	−0.175226	+	0.101167i
$210$	−32.8062	+	36.2567i	−2.26384	+	2.50195i
$211$			2.95271i			0.203273i	0.994822	+	0.101637i	$0.0324079\pi$
$211$			2.95271i			0.203273i	−0.994822	+	0.101637i	$0.967592\pi$
$212$	−7.55519	+	16.7488i	−0.518892	+	1.15031i
$213$	26.2409	+	15.1502i	1.79800	+	1.03807i
$214$	−0.272991	−	0.0587225i	−0.0186613	−	0.00401419i
$215$	−5.97612	−	10.3509i	−0.407568	−	0.705928i
$216$	−22.5868	−	16.6642i	−1.53684	−	1.13385i
$217$	−15.5141	+	8.95707i	−1.05317	+	0.608046i
$218$	11.9239	−	3.84216i	0.807586	−	0.260224i
$219$	28.3351	−	16.3593i	1.91471	−	1.10546i
$220$	4.55789	+	6.33819i	0.307293	+	0.427321i
$221$		−	12.8094i		−	0.861652i
$222$	8.81348	−	24.6503i	0.591522	−	1.65442i
$223$	−21.2127			−1.42051			−0.710254	−	0.703946i	$-0.751420\pi$
$223$	−21.2127			−1.42051			−0.710254	+	0.703946i	$0.751420\pi$
$224$	−0.214733	+	17.6051i	−0.0143475	+	1.17629i
$225$	26.0609	+	45.1388i	1.73739	+	3.00925i
$226$	−0.0561636	−	0.174299i	−0.00373595	−	0.0115942i
$227$	−8.55782	−	14.8226i	−0.568003	−	0.983809i	−0.996763	−	0.0803913i	$-0.974383\pi$
$227$	−8.55782	−	14.8226i	−0.568003	−	0.983809i	0.428761	−	0.903418i	$-0.358950\pi$
$228$	−6.84584	+	15.1763i	−0.453377	+	1.00508i
$229$	−6.06379	+	3.50093i	−0.400707	+	0.231348i	−0.686789	−	0.726857i	$-0.740980\pi$
$229$	−6.06379	+	3.50093i	−0.400707	+	0.231348i	0.286082	+	0.958205i	$0.407647\pi$
$230$	2.05692	+	0.442460i	0.135630	+	0.0291749i
$231$	−5.06420	+	8.77145i	−0.333200	+	0.577119i
$232$	1.97093	−	2.67143i	0.129398	−	0.175388i
$233$	−12.7670			−0.836396			−0.418198	−	0.908356i	$-0.637338\pi$
$233$	−12.7670			−0.836396			−0.418198	+	0.908356i	$0.637338\pi$
$234$	38.5702	+	34.8995i	2.52141	+	2.28145i
$235$	−6.98292	−	12.0948i	−0.455515	−	0.788976i
$236$	−15.6031	−	7.03835i	−1.01567	−	0.458157i
$237$	15.3722	−	26.6255i	0.998533	−	1.72951i
$238$	6.43944	−	7.11673i	0.417407	−	0.461309i
$239$	−4.64638	−	2.68259i	−0.300549	−	0.173522i	0.342140	−	0.939649i	$-0.388848\pi$
$239$	−4.64638	−	2.68259i	−0.300549	−	0.173522i	−0.642690	+	0.766127i	$0.722181\pi$
$240$	42.1237	+	14.1427i	2.71907	+	0.912906i
$241$	9.62112	−	5.55475i	0.619751	−	0.357813i	−0.157021	−	0.987595i	$-0.550189\pi$
$241$	9.62112	−	5.55475i	0.619751	−	0.357813i	0.776772	+	0.629782i	$0.216856\pi$
$242$	−10.3361	−	9.35240i	−0.664428	−	0.601195i
$243$	−4.30659	−	2.48641i	−0.276268	−	0.159503i
$244$	2.33711	−	1.68065i	0.149618	−	0.107593i
$245$	9.80873			0.626656
$246$	15.1848	+	47.1248i	0.968146	+	3.00457i
$247$	8.03476	−	13.9166i	0.511240	−	0.885493i
$248$	13.1001	+	9.66505i	0.831858	+	0.613731i
$249$	0.950998			0.0602670
$250$	−12.7272	−	11.5160i	−0.804941	−	0.728335i
$251$	−22.2867			−1.40672			−0.703362	−	0.710832i	$-0.748319\pi$
$251$	−22.2867			−1.40672			−0.703362	+	0.710832i	$0.748319\pi$
$252$	3.88470	+	38.7795i	0.244713	+	2.44288i
$253$	0.435822			0.0273999
$254$	17.1144	−	5.51467i	1.07385	−	0.346021i
$255$	−12.1110	−	20.9769i	−0.758423	−	1.31363i
$256$	14.7409	−	6.22133i	0.921308	−	0.388833i
$257$	−1.80574	−	1.04255i	−0.112639	−	0.0650323i	0.442622	−	0.896708i	$-0.354048\pi$
$257$	−1.80574	−	1.04255i	−0.112639	−	0.0650323i	−0.555261	+	0.831676i	$0.687382\pi$
$258$	−13.7765	−	2.96343i	−0.857689	−	0.184495i
$259$	−17.4953	+	7.23451i	−1.08710	+	0.449531i
$260$	−39.0947	−	17.6351i	−2.42455	−	1.09368i
$261$	3.67435	−	6.36417i	0.227437	−	0.393932i
$262$	2.32555	−	0.749349i	0.143673	−	0.0462949i
$263$	6.99787	+	12.1207i	0.431507	+	0.747392i	0.997003	−	0.0773589i	$-0.0246487\pi$
$263$	6.99787	+	12.1207i	0.431507	+	0.747392i	−0.565496	+	0.824751i	$0.691315\pi$
$264$	9.14655	+	1.02907i	0.562932	+	0.0633348i
$265$		−	33.5355i		−	2.06007i
$266$	11.4601	−	3.69272i	0.702662	−	0.226415i
$267$	−24.7285			−1.51336
$268$	2.07815	+	2.88987i	0.126943	+	0.176527i
$269$		−	6.50945i		−	0.396888i	−0.980112	−	0.198444i	$-0.936411\pi$
$269$		−	6.50945i		−	0.396888i	0.980112	−	0.198444i	$-0.0635888\pi$
$270$	50.0844	+	10.7735i	3.04804	+	0.655656i
$271$	−4.12723	+	7.14858i	−0.250712	+	0.434245i	−0.963722	−	0.266908i	$-0.913998\pi$
$271$	−4.12723	+	7.14858i	−0.250712	+	0.434245i	0.713010	+	0.701153i	$0.247331\pi$
$272$	−8.26834	−	2.77603i	−0.501342	−	0.168321i
$273$		−	55.6418i		−	3.36760i
$274$	19.8162	+	17.9303i	1.19714	+	1.08321i
$275$	−7.70942	−	4.45104i	−0.464895	−	0.268408i
$276$	2.01392	−	1.44824i	0.121224	−	0.0871738i
$277$	10.4157	+	18.0406i	0.625821	+	1.08395i	0.988382	+	0.151993i	$0.0485692\pi$
$277$	10.4157	+	18.0406i	0.625821	+	1.08395i	−0.362561	+	0.931960i	$0.618097\pi$
$278$	8.95777	+	27.7997i	0.537252	+	1.66732i
$279$	31.2085	+	18.0183i	1.86841	+	1.07872i
$280$	−12.8551	−	29.4513i	−0.768241	−	1.76005i
$281$	16.8863	+	9.74928i	1.00735	+	0.581594i	0.910415	−	0.413697i	$-0.135763\pi$
$281$	16.8863	+	9.74928i	1.00735	+	0.581594i	0.0969350	+	0.995291i	$0.469096\pi$
$282$	−16.0975	−	3.46268i	−0.958590	−	0.206200i
$283$	0.821886	+	1.42355i	0.0488561	+	0.0846212i	0.889419	−	0.457092i	$-0.151109\pi$
$283$	0.821886	+	1.42355i	0.0488561	+	0.0846212i	−0.840563	+	0.541714i	$0.817776\pi$
$284$	−16.1673	+	11.6262i	−0.959355	+	0.689887i
$285$		−	30.3869i		−	1.79997i
$286$	−8.68529	−	1.86827i	−0.513572	−	0.110473i
$287$	17.9029	−	31.0087i	1.05677	−	1.83039i
$288$	30.8862	−	17.3334i	1.81999	−	1.02138i
$289$	−6.12276	−	10.6049i	−0.360162	−	0.623819i
$290$	−1.27423	+	5.92368i	−0.0748252	+	0.347850i
$291$	28.0143	+	48.5223i	1.64223	+	2.84442i
$292$	2.14330	+	21.3958i	0.125427	+	1.25209i
$293$	2.64910	−	1.52946i	0.154762	−	0.0893520i	−0.420619	−	0.907237i	$-0.638187\pi$
$293$	2.64910	−	1.52946i	0.154762	−	0.0893520i	0.575381	+	0.817885i	$0.304854\pi$
$294$	7.75907	−	8.57517i	0.452518	−	0.500114i
$295$	31.2414			1.81894
$296$	12.3857	+	11.9413i	0.719903	+	0.694075i
$297$	10.6119			0.615766
$298$	−2.80803	+	3.10337i	−0.162665	+	0.179774i
$299$	−2.07349	+	1.19713i	−0.119913	+	0.0692317i
$300$	−50.4158	+	5.05036i	−2.91076	+	0.291583i
$301$	5.09548	+	8.82562i	0.293698	+	0.508701i
$302$	−3.61856	+	16.8221i	−0.208225	+	0.968003i
$303$	−3.29700	−	5.71058i	−0.189408	−	0.328064i
$304$	−7.24177	−	8.20235i	−0.415344	−	0.470437i
$305$	−2.62701	+	4.55011i	−0.150422	+	0.260538i
$306$	−18.8750	−	4.06016i	−1.07901	−	0.232104i
$307$		−	9.17658i		−	0.523735i	−0.965104	−	0.261868i	$-0.915662\pi$
$307$		−	9.17658i		−	0.523735i	0.965104	−	0.261868i	$-0.0843384\pi$
$308$	−3.88624	−	5.40419i	−0.221439	−	0.307933i
$309$	−16.8455	−	29.1772i	−0.958305	−	1.65983i
$310$	−29.0485	−	6.24854i	−1.64984	−	0.354893i
$311$	18.1096	+	10.4556i	1.02690	+	0.592882i	0.916095	−	0.400960i	$-0.131323\pi$
$311$	18.1096	+	10.4556i	1.02690	+	0.592882i	0.110806	+	0.993842i	$0.464657\pi$
$312$	−46.3427	+	20.2280i	−2.62364	+	1.14519i
$313$	−24.1823	−	13.9617i	−1.36687	−	0.789161i	−0.376340	−	0.926482i	$-0.622818\pi$
$313$	−24.1823	−	13.9617i	−1.36687	−	0.789161i	−0.990527	+	0.137321i	$0.956151\pi$
$314$	−4.14763	−	12.8719i	−0.234065	−	0.726401i
$315$	−35.5665	−	61.6029i	−2.00394	−	3.47093i
$316$	11.7966	+	16.4043i	0.663608	+	0.922812i
$317$	−7.98587	−	4.61064i	−0.448531	−	0.258960i	0.258679	−	0.965963i	$-0.416713\pi$
$317$	−7.98587	−	4.61064i	−0.448531	−	0.258960i	−0.707210	+	0.707004i	$0.750046\pi$
$318$	−29.3181	−	26.5279i	−1.64407	−	1.48761i
$319$			1.25511i			0.0702728i
$320$	−19.8558	+	21.4134i	−1.10998	+	1.19705i
$321$	0.300438	−	0.520374i	0.0167688	−	0.0290444i
$322$	−1.75382	−	0.377259i	−0.0977363	−	0.0210238i
$323$			5.96456i			0.331877i
$324$	18.5385	−	13.3313i	1.02991	−	0.740627i
$325$	48.9049			2.71275
$326$	14.3418	−	4.62129i	0.794319	−	0.255950i
$327$			26.9576i			1.49076i
$328$	−32.3348	−	3.63795i	−1.78539	−	0.200872i
$329$	5.95391	+	10.3125i	0.328250	+	0.568545i
$330$	−15.9897	+	5.15227i	−0.880202	+	0.283623i
$331$	−1.62202	+	2.80942i	−0.0891542	+	0.154420i	−0.907154	−	0.420799i	$-0.861750\pi$
$331$	−1.62202	+	2.80942i	−0.0891542	+	0.154420i	0.818000	+	0.575219i	$0.195083\pi$
$332$	−0.256993	+	0.569720i	−0.0141043	+	0.0312674i
$333$	30.2003	+	23.2022i	1.65497	+	1.27147i
$334$	5.03964	+	1.08406i	0.275757	+	0.0593173i
$335$	−5.62627	−	3.24833i	−0.307396	−	0.177475i
$336$	−35.9163	−	12.0586i	−1.95940	−	0.657851i
$337$	6.30136	+	10.9143i	0.343257	+	0.594538i	0.985035	−	0.172352i	$-0.0551365\pi$
$337$	6.30136	+	10.9143i	0.343257	+	0.594538i	−0.641779	+	0.766890i	$0.721803\pi$
$338$	28.9545	−	9.32987i	1.57492	−	0.507478i
$339$	0.394058			0.0214023
$340$	15.8396	−	1.58672i	0.859024	−	0.0860520i
$341$	−6.15481			−0.333302
$342$	−17.9598	−	16.2506i	−0.971157	−	0.878732i
$343$	13.4235			0.724804
$344$	5.49823	−	7.45236i	0.296445	−	0.401804i
$345$	−2.26373	+	3.92089i	−0.121875	+	0.211094i
$346$	2.86171	+	8.88108i	0.153846	+	0.477450i
$347$	23.9833			1.28749			0.643746	−	0.765239i	$-0.277379\pi$
$347$	23.9833			1.28749			0.643746	+	0.765239i	$0.277379\pi$
$348$	4.17075	+	5.79983i	0.223576	+	0.310904i
$349$	−2.61824	−	1.51164i	−0.140151	−	0.0809162i	0.428285	−	0.903644i	$-0.359118\pi$
$349$	−2.61824	−	1.51164i	−0.140151	−	0.0809162i	−0.568436	+	0.822728i	$0.692451\pi$
$350$	27.1709	+	24.5851i	1.45235	+	1.31413i
$351$	−50.4877	+	29.1491i	−2.69483	+	1.55586i
$352$	−3.08821	+	5.20139i	−0.164602	+	0.277235i
$353$	−0.114196	−	0.0659310i	−0.00607803	−	0.00350915i	0.496958	−	0.867775i	$-0.334450\pi$
$353$	−0.114196	−	0.0659310i	−0.00607803	−	0.00350915i	−0.503036	+	0.864265i	$0.667784\pi$
$354$	24.7131	−	27.3124i	1.31349	−	1.45164i
$355$	18.1727	−	31.4761i	0.964509	−	1.67058i
$356$	6.68252	−	14.8142i	0.354173	−	0.785153i
$357$	10.3264	+	17.8858i	0.546529	+	0.946616i
$358$	17.9266	+	16.2205i	0.947448	+	0.857280i
$359$	−22.1357			−1.16828			−0.584138	−	0.811654i	$-0.698567\pi$
$359$	−22.1357			−1.16828			−0.584138	+	0.811654i	$0.698567\pi$
$360$	−38.3777	+	52.0176i	−2.02268	+	2.74157i
$361$	5.75869	−	9.97434i	0.303089	−	0.524966i
$362$	−20.5098	−	4.41181i	−1.07797	−	0.231880i
$363$	25.9766	−	14.9976i	1.36342	−	0.787171i
$364$	33.3337	+	15.0364i	1.74716	+	0.788121i
$365$	−19.6231	−	33.9881i	−1.02712	−	1.77902i
$366$	1.89982	+	5.89594i	0.0993051	+	0.308186i
$367$	12.3954	+	21.4694i	0.647033	+	1.12069i	0.983828	+	0.179116i	$0.0573238\pi$
$367$	12.3954	+	21.4694i	0.647033	+	1.12069i	−0.336795	+	0.941578i	$0.609343\pi$
$368$	0.323373	+	1.59786i	0.0168570	+	0.0832941i
$369$	−72.0277			−3.74961
$370$	−29.5681	−	10.5718i	−1.53717	−	0.549602i
$371$			28.5937i			1.48451i
$372$	−28.4412	+	20.4525i	−1.47461	+	1.06041i
$373$	−13.3168	+	7.68845i	−0.689517	+	0.398093i	−0.803431	−	0.595398i	$-0.796994\pi$
$373$	−13.3168	+	7.68845i	−0.689517	+	0.398093i	0.113914	+	0.993491i	$0.463661\pi$
$374$	3.13856	−	1.01132i	0.162291	−	0.0522943i
$375$	31.9861	−	18.4672i	1.65175	−	0.953641i
$376$	6.42452	−	8.70786i	0.331319	−	0.449074i
$377$	−3.44758	−	5.97138i	−0.177559	−	0.307542i
$378$	−42.7040	−	9.18594i	−2.19646	−	0.472474i
$379$	28.7185	+	16.5806i	1.47517	+	0.851691i	0.999608	−	0.0279911i	$-0.00891101\pi$
$379$	28.7185	+	16.5806i	1.47517	+	0.851691i	0.475563	+	0.879682i	$0.342244\pi$
$380$	18.2041	+	8.21162i	0.933849	+	0.421247i
$381$			38.6924i			1.98227i
$382$	3.79826	−	4.19776i	0.194336	−	0.214776i
$383$	2.37121	−	1.36902i	0.121163	−	0.0699537i	−0.438193	−	0.898881i	$-0.644382\pi$
$383$	2.37121	−	1.36902i	0.121163	−	0.0699537i	0.559357	+	0.828927i	$0.311048\pi$
$384$	3.01372	+	34.2976i	0.153793	+	1.75024i
$385$	10.5214	+	6.07453i	0.536220	+	0.309587i
$386$	−2.75959	+	3.04985i	−0.140460	+	0.155233i
$387$	10.2502	−	17.7538i	0.521046	−	0.902478i
$388$	−36.6390	+	3.67028i	−1.86006	+	0.186330i
$389$	−14.1814	−	24.5628i	−0.719023	−	1.24539i	−0.961387	−	0.275200i	$-0.911256\pi$
$389$	−14.1814	−	24.5628i	−0.719023	−	1.24539i	0.242364	−	0.970185i	$-0.422077\pi$
$390$	61.9207	−	68.4334i	3.13547	−	3.46526i
$391$	0.444341	−	0.769621i	0.0224713	−	0.0389214i
$392$	3.04040	+	6.96559i	0.153563	+	0.351815i
$393$			5.25763i			0.265212i
$394$	8.95169	+	27.7809i	0.450980	+	1.39958i
$395$	−31.9374	−	18.4391i	−1.60694	−	0.927770i
$396$	−5.50592	+	12.2059i	−0.276683	+	0.613369i
$397$		−	3.64418i		−	0.182896i	−0.995810	−	0.0914482i	$-0.970850\pi$
$397$		−	3.64418i		−	0.182896i	0.995810	−	0.0914482i	$-0.0291496\pi$
$398$	−9.93863	+	10.9840i	−0.498179	+	0.550577i
$399$			25.9091i			1.29708i
$400$	10.5986	−	31.5677i	0.529929	−	1.57838i
$401$			19.4554i			0.971558i	0.874082	+	0.485779i	$0.161464\pi$
$401$			19.4554i			0.971558i	−0.874082	+	0.485779i	$0.838536\pi$
$402$	−7.29040	+	2.34915i	−0.363612	+	0.117165i
$403$	29.2824	−	16.9062i	1.45866	−	0.842157i
$404$	4.31204	−	0.431955i	0.214532	−	0.0214906i
$405$	−20.8380	+	36.0924i	−1.03545	+	1.79345i
$406$	1.08646	−	5.05076i	0.0539199	−	0.250665i
$407$	−6.44838	−	0.852869i	−0.319634	−	0.0422752i
$408$	11.1426	−	15.1028i	0.551639	−	0.747698i
$409$	−1.76894	−	1.02130i	−0.0874687	−	0.0505001i	0.455628	−	0.890170i	$-0.349415\pi$
$409$	−1.76894	−	1.02130i	−0.0874687	−	0.0505001i	−0.543096	+	0.839670i	$0.682748\pi$
$410$	56.5264	−	18.2142i	2.79164	−	0.899537i
$411$	−49.8022	+	28.7533i	−2.45656	+	1.41830i
$412$	22.0316	−	2.20700i	1.08542	−	0.108731i
$413$	−26.6377			−1.31075
$414$	1.10678	+	3.43480i	0.0543952	+	0.168811i
$415$		−	1.14073i		−	0.0559961i
$416$	0.405302	−	33.2291i	0.0198716	−	1.62919i
$417$	−62.8500			−3.07778
$418$	4.04422	+	0.869942i	0.197809	+	0.0425502i
$419$	23.6170	+	13.6353i	1.15377	+	0.666128i	0.949803	−	0.312850i	$-0.101284\pi$
$419$	23.6170	+	13.6353i	1.15377	+	0.666128i	0.203966	+	0.978978i	$0.434617\pi$
$420$	68.8047	−	6.89246i	3.35733	−	0.336317i
$421$	−11.4556			−0.558312			−0.279156	−	0.960246i	$-0.590055\pi$
$421$	−11.4556			−0.558312			−0.279156	+	0.960246i	$0.590055\pi$
$422$	2.80170	−	3.09638i	0.136384	−	0.150729i
$423$	11.9770	−	20.7448i	0.582343	−	1.00865i
$424$	23.8150	−	10.3950i	1.15656	−	0.504824i
$425$	−15.7202	+	9.07606i	−0.762542	+	0.440254i
$426$	−13.1423	−	40.7861i	−0.636747	−	1.97609i
$427$	2.23989	−	3.87960i	0.108396	−	0.187747i
$428$	0.230554	+	0.320609i	0.0111443	+	0.0154972i
$429$	9.55851	−	16.5558i	0.461489	−	0.799323i
$430$	−3.55466	+	16.5250i	−0.171421	+	0.796907i
$431$	−3.64838	+	2.10639i	−0.175736	+	0.101461i	−0.585288	−	0.810826i	$-0.699018\pi$
$431$	−3.64838	+	2.10639i	−0.175736	+	0.101461i	0.409552	+	0.912287i	$0.365685\pi$
$432$	7.87387	+	38.9065i	0.378832	+	1.87189i
$433$	−12.4721			−0.599369			−0.299685	−	0.954038i	$-0.596881\pi$
$433$	−12.4721			−0.599369			−0.299685	+	0.954038i	$0.596881\pi$
$434$	24.7679	+	5.32776i	1.18890	+	0.255741i
$435$	−11.2917	−	6.51925i	−0.541394	−	0.312574i
$436$	−16.1497	−	7.28490i	−0.773428	−	0.348884i
$437$	0.965499	−	0.557431i	0.0461861	−	0.0266655i
$438$	−45.2363	−	9.73067i	−2.16148	−	0.464949i
$439$	28.7152	−	16.5787i	1.37050	−	0.791259i	0.379509	−	0.925188i	$-0.376093\pi$
$439$	28.7152	−	16.5787i	1.37050	−	0.791259i	0.990991	+	0.133929i	$0.0427596\pi$
$440$	1.23437	−	10.9713i	0.0588464	−	0.523038i
$441$	8.41191	+	14.5699i	0.400567	+	0.693803i
$442$	−12.1542	+	13.4326i	−0.578118	+	0.638924i
$443$			36.6946i			1.74341i	0.490028	+	0.871707i	$0.336987\pi$
$443$			36.6946i			1.74341i	−0.490028	+	0.871707i	$0.663013\pi$
$444$	−32.6318	+	17.4869i	−1.54864	+	0.829892i
$445$			29.6620i			1.40611i
$446$	22.2448	+	20.1278i	1.05332	+	0.953077i
$447$	−4.50299	−	7.79940i	−0.212984	−	0.368899i
$448$	16.9299	−	18.2579i	0.799862	−	0.862607i
$449$	21.1963	−	12.2377i	1.00032	−	0.577533i	0.0919743	−	0.995761i	$-0.470682\pi$
$449$	21.1963	−	12.2377i	1.00032	−	0.577533i	0.908342	+	0.418229i	$0.137349\pi$
$450$	15.5013	−	72.0629i	0.730737	−	3.39708i
$451$	10.6537	−	6.15094i	0.501665	−	0.289637i
$452$	−0.106488	+	0.236071i	−0.00500880	+	0.0111038i
$453$	−32.0662	−	18.5134i	−1.50660	−	0.869836i
$454$	−5.09028	+	23.6639i	−0.238899	+	1.11060i
$455$	−66.7427			−3.12895
$456$	21.5790	−	9.41900i	1.01053	−	0.441085i
$457$	9.19474	−	5.30858i	0.430112	−	0.248325i	−0.269283	−	0.963061i	$-0.586787\pi$
$457$	9.19474	−	5.30858i	0.430112	−	0.248325i	0.699394	+	0.714736i	$0.253453\pi$
$458$	9.68070	+	2.08239i	0.452349	+	0.0973037i
$459$	10.8193	−	18.7396i	0.505003	−	0.874691i
$460$	−1.73717	−	2.41571i	−0.0809961	−	0.112633i
$461$	6.16570	−	10.6793i	0.287165	−	0.497384i	−0.685967	−	0.727633i	$-0.740621\pi$
$461$	6.16570	−	10.6793i	0.287165	−	0.497384i	0.973132	+	0.230248i	$0.0739538\pi$
$462$	13.6334	−	4.39303i	0.634284	−	0.204382i
$463$	−4.72700	+	2.72913i	−0.219682	+	0.126834i	−0.605803	−	0.795615i	$-0.707148\pi$
$463$	−4.72700	+	2.72913i	−0.219682	+	0.126834i	0.386121	+	0.922448i	$0.373815\pi$
$464$	−4.60162	+	0.931273i	−0.213625	+	0.0432333i
$465$	31.9690	−	55.3720i	1.48253	−	2.56781i
$466$	13.3882	+	12.1140i	0.620196	+	0.561172i
$467$	−0.989742			−0.0457998			−0.0228999	−	0.999738i	$-0.507290\pi$
$467$	−0.989742			−0.0457998			−0.0228999	+	0.999738i	$0.507290\pi$
$468$	−7.33225	−	73.1950i	−0.338933	−	3.38344i
$469$	4.79718	+	2.76965i	0.221513	+	0.127891i
$470$	−4.15351	+	19.3090i	−0.191587	+	0.890658i
$471$	29.1009			1.34090
$472$	9.68386	+	22.1858i	0.445736	+	1.02119i
$473$			3.50133i			0.160991i
$474$	−41.3838	+	13.3349i	−1.90082	+	0.612492i
$475$	−22.7721			−1.04485
$476$	−13.5055	+	1.35290i	−0.619023	+	0.0620101i
$477$	49.8136	−	28.7599i	2.28081	−	1.31683i
$478$	2.32706	+	7.22184i	0.106437	+	0.330319i
$479$	−18.0553	−	10.4242i	−0.824968	−	0.476295i	0.0271588	−	0.999631i	$-0.491354\pi$
$479$	−18.0553	−	10.4242i	−0.824968	−	0.476295i	−0.852127	+	0.523336i	$0.824687\pi$
$480$	−30.7538	−	54.8000i	−1.40371	−	2.50127i
$481$	33.0217	−	13.6549i	1.50566	−	0.622610i
$482$	−15.3599	−	3.30402i	−0.699623	−	0.150494i
$483$	1.93014	−	3.34311i	0.0878246	−	0.152117i
$484$	1.96490	+	19.6149i	0.0893138	+	0.891585i
$485$	58.2027	−	33.6033i	2.64285	−	1.52585i
$486$	2.15688	+	6.69370i	0.0978380	+	0.303633i
$487$		−	16.0920i		−	0.729197i	−0.931165	−	0.364598i	$-0.881206\pi$
$487$		−	16.0920i		−	0.729197i	0.931165	−	0.364598i	$-0.118794\pi$
$488$	−4.04551	−	0.455156i	−0.183132	−	0.0206040i
$489$			32.4242i			1.46627i
$490$	−10.2860	−	9.30705i	−0.464672	−	0.420450i
$491$		−	33.5291i		−	1.51315i	−0.653907	−	0.756575i	$-0.726871\pi$
$491$		−	33.5291i		−	1.51315i	0.653907	−	0.756575i	$-0.273129\pi$
$492$	28.7910	−	63.8257i	1.29800	−	2.87749i
$493$	2.21641	+	1.27964i	0.0998221	+	0.0576323i
$494$	−21.6305	+	6.96990i	−0.973203	+	0.313590i
$495$		−	24.4393i		−	1.09847i
$496$	−4.56677	−	22.5654i	−0.205054	−	1.01322i
$497$	−15.4948	+	26.8378i	−0.695037	+	1.20384i
$498$	−0.997268	−	0.902358i	−0.0446886	−	0.0404356i
$499$	−3.35770	−	5.81570i	−0.150311	−	0.260346i	0.781031	−	0.624493i	$-0.214694\pi$
$499$	−3.35770	−	5.81570i	−0.150311	−	0.260346i	−0.931342	+	0.364146i	$0.881361\pi$
$500$	2.41946	+	24.1526i	0.108202	+	1.08014i
$501$	−5.54633	+	9.60652i	−0.247792	+	0.429188i
$502$	23.3710	+	21.1468i	1.04310	+	0.943829i
$503$	10.5561	+	6.09460i	0.470675	+	0.271745i	0.716522	−	0.697564i	$-0.245733\pi$
$503$	10.5561	+	6.09460i	0.470675	+	0.271745i	−0.245847	+	0.969309i	$0.579066\pi$
$504$	32.7223	−	44.3522i	1.45757	−	1.97561i
$505$	−6.84987	+	3.95477i	−0.304815	+	0.175985i
$506$	−0.457027	−	0.413532i	−0.0203173	−	0.0183837i
$507$			65.4607i			2.90721i
$508$	−23.1797	−	10.4560i	−1.02843	−	0.463912i
$509$	19.3083	+	11.1477i	0.855825	+	0.494111i	0.862612	−	0.505866i	$-0.168827\pi$
$509$	19.3083	+	11.1477i	0.855825	+	0.494111i	−0.00678673	+	0.999977i	$0.502160\pi$
$510$	−7.20377	+	33.4892i	−0.318988	+	1.48293i
$511$	16.7314	+	28.9796i	0.740154	+	1.28198i
$512$	−21.3613	−	7.46298i	−0.944044	−	0.329820i
$513$	23.5091	−	13.5730i	1.03795	−	0.599262i
$514$	0.904376	+	2.80666i	0.0398903	+	0.123796i
$515$	−34.9982	+	20.2062i	−1.54221	+	0.890393i
$516$	11.6349	+	16.1795i	0.512200	+	0.712265i
$517$			4.09120i			0.179931i
$518$	25.2110	+	9.01395i	1.10771	+	0.396050i
$519$	−20.0785			−0.881347
$520$	24.2636	+	55.5883i	1.06403	+	2.43771i
$521$	−17.9758	−	31.1351i	−0.787536	−	1.36405i	−0.927473	−	0.373891i	$-0.878023\pi$
$521$	−17.9758	−	31.1351i	−0.787536	−	1.36405i	0.139937	−	0.990160i	$-0.455310\pi$
$522$	−9.89179	+	3.18738i	−0.432952	+	0.139508i
$523$	−8.67976	−	15.0338i	−0.379539	−	0.657381i	0.611456	−	0.791278i	$-0.290584\pi$
$523$	−8.67976	−	15.0338i	−0.379539	−	0.657381i	−0.990995	+	0.133897i	$0.957251\pi$
$524$	−3.14972	−	1.42080i	−0.137596	−	0.0620678i
$525$	−68.2860	+	39.4250i	−2.98025	+	1.72065i
$526$	4.16240	−	19.3503i	0.181489	−	0.843715i
$527$	−6.27511	+	10.8688i	−0.273348	+	0.473453i
$528$	−8.61514	−	9.75789i	−0.374926	−	0.424657i
$529$	22.8339			0.992778
$530$	−31.8203	+	35.1672i	−1.38219	+	1.52756i
$531$	26.7925	+	46.4059i	1.16269	+	2.01385i
$532$	−15.5215	−	7.00155i	−0.672943	−	0.303556i
$533$	−33.7911	+	58.5279i	−1.46366	+	2.53513i
$534$	25.9316	+	23.4637i	1.12217	+	1.01538i
$535$	−0.624191	−	0.360377i	−0.0269861	−	0.0155805i
$536$	0.562806	−	5.00233i	0.0243095	−	0.216068i
$537$	−45.0530	+	26.0114i	−1.94418	+	1.12247i
$538$	−6.17652	+	6.82616i	−0.266289	+	0.294297i
$539$	−2.48844	−	1.43670i	−0.107185	−	0.0618831i
$540$	−42.2987	−	58.8205i	−1.82025	−	2.53123i
$541$	−37.0157			−1.59143			−0.795715	−	0.605671i	$-0.792905\pi$
$541$	−37.0157			−1.59143			−0.795715	+	0.605671i	$0.792905\pi$
$542$	11.1110	−	3.58024i	0.477258	−	0.153785i
$543$	22.5719	−	39.0956i	0.968651	−	1.67775i
$544$	6.03658	+	10.7565i	0.258816	+	0.461183i
$545$	32.3358			1.38511
$546$	−52.7960	+	58.3490i	−2.25946	+	2.49711i
$547$	−28.1817			−1.20496			−0.602481	−	0.798133i	$-0.705821\pi$
$547$	−28.1817			−1.20496			−0.602481	+	0.798133i	$0.705821\pi$
$548$	−3.76710	−	37.6055i	−0.160922	−	1.60643i
$549$	−9.01163			−0.384607
$550$	3.86113	+	11.9827i	0.164639	+	0.510945i
$551$	1.60533	+	2.78051i	0.0683894	+	0.118454i
$552$	−3.48608	−	0.392214i	−0.148377	−	0.0166938i
$553$	27.2311	+	15.7219i	1.15798	+	0.668562i
$554$	6.19538	−	28.8013i	0.263217	−	1.22365i
$555$	41.1667	−	53.5831i	1.74743	−	2.27448i
$556$	16.9843	−	37.6519i	0.720295	−	1.59680i
$557$	3.18866	−	5.52293i	0.135108	−	0.234014i	−0.790531	−	0.612422i	$-0.790195\pi$
$557$	3.18866	−	5.52293i	0.135108	−	0.234014i	0.925639	+	0.378408i	$0.123529\pi$
$558$	−15.6303	−	48.5073i	−0.661682	−	2.05348i
$559$	−9.61755	−	16.6581i	−0.406779	−	0.704562i
$560$	−14.4644	+	43.0818i	−0.611231	+	1.82054i
$561$			7.09571i			0.299581i
$562$	−8.45719	−	26.2462i	−0.356745	−	1.10713i
$563$	−1.42329			−0.0599845			−0.0299922	−	0.999550i	$-0.509548\pi$
$563$	−1.42329			−0.0599845			−0.0299922	+	0.999550i	$0.509548\pi$
$564$	13.5951	+	18.9053i	0.572457	+	0.796057i
$565$		−	0.472675i		−	0.0198856i
$566$	0.488866	−	2.27266i	0.0205486	−	0.0955271i
$567$	17.7673	−	30.7738i	0.746156	−	1.29238i
$568$	27.9855	+	3.14862i	1.17425	+	0.132113i
$569$			38.2222i			1.60236i	0.598424	+	0.801180i	$0.295794\pi$
$569$			38.2222i			1.60236i	−0.598424	+	0.801180i	$0.704206\pi$
$570$	−28.8328	+	31.8654i	−1.20767	+	1.33469i
$571$	2.35941	+	1.36220i	0.0987380	+	0.0570064i	0.548556	−	0.836114i	$-0.315178\pi$
$571$	2.35941	+	1.36220i	0.0987380	+	0.0570064i	−0.449818	+	0.893120i	$0.648511\pi$
$572$	7.33515	+	10.2002i	0.306698	+	0.426494i
$573$	6.09093	+	10.5498i	0.254452	+	0.440724i
$574$	−48.1967	+	15.5302i	−2.01169	+	0.648217i
$575$	2.93833	+	1.69645i	0.122537	+	0.0707467i
$576$	−48.8358	−	11.1298i	−2.03482	−	0.463741i
$577$	−3.74515	−	2.16226i	−0.155913	−	0.0900162i	0.420014	−	0.907518i	$-0.362025\pi$
$577$	−3.74515	−	2.16226i	−0.155913	−	0.0900162i	−0.575926	+	0.817501i	$0.695359\pi$
$578$	−3.64188	+	16.9305i	−0.151482	+	0.704216i
$579$	−4.42532	−	7.66488i	−0.183910	−	0.318541i
$580$	6.95693	−	5.00283i	0.288871	−	0.207731i
$581$			0.972629i			0.0403515i
$582$	16.6632	−	77.4646i	0.690712	−	3.21101i
$583$	−4.91201	+	8.50785i	−0.203435	+	0.352359i
$584$	18.0539	−	24.4704i	0.747074	−	1.01259i
$585$	67.1306	+	116.274i	2.77551	+	4.80732i
$586$	−4.22922	−	0.909738i	−0.174708	−	0.0375809i
$587$	0.674094	+	1.16757i	0.0278228	+	0.0481906i	0.879602	−	0.475711i	$-0.157809\pi$
$587$	0.674094	+	1.16757i	0.0278228	+	0.0481906i	−0.851779	+	0.523902i	$0.824476\pi$
$588$	−16.2732	+	1.63015i	−0.671094	+	0.0672263i
$589$	−13.6351	+	7.87220i	−0.561823	+	0.324369i
$590$	−32.7614	−	29.6435i	−1.34877	−	1.22041i
$591$	−62.8073			−2.58355
$592$	−1.65771	−	24.2745i	−0.0681315	−	0.997676i
$593$	11.3580			0.466418			0.233209	−	0.972427i	$-0.425077\pi$
$593$	11.3580			0.466418			0.233209	+	0.972427i	$0.425077\pi$
$594$	−11.1282	−	10.0692i	−0.456597	−	0.413143i
$595$	21.4541	−	12.3865i	0.879532	−	0.507798i
$596$	5.88930	−	0.589956i	0.241235	−	0.0241655i
$597$	−15.9377	−	27.6049i	−0.652287	−	1.12979i
$598$	3.31027	+	0.712064i	0.135367	+	0.0291184i
$599$	−14.1632	−	24.5314i	−0.578694	−	1.00233i	−0.995629	−	0.0933913i	$-0.970229\pi$
$599$	−14.1632	−	24.5314i	−0.578694	−	1.00233i	0.416935	−	0.908936i	$-0.363104\pi$
$600$	57.6608	+	42.5412i	2.35399	+	1.73674i
$601$	13.5604	−	23.4873i	0.553139	−	0.958065i	−0.444907	−	0.895577i	$-0.646763\pi$
$601$	13.5604	−	23.4873i	0.553139	−	0.958065i	0.998046	−	0.0624881i	$-0.0199036\pi$
$602$	3.03084	−	14.0899i	0.123528	−	0.574261i
$603$		−	11.1430i		−	0.453778i
$604$	19.7563	−	14.2071i	0.803874	−	0.578078i
$605$	−17.9897	−	31.1591i	−0.731386	−	1.26680i
$606$	−1.96109	+	9.11680i	−0.0796639	+	0.370345i
$607$	−6.63613	−	3.83137i	−0.269352	−	0.155510i	0.359241	−	0.933245i	$-0.383036\pi$
$607$	−6.63613	−	3.83137i	−0.269352	−	0.155510i	−0.628593	+	0.777734i	$0.716369\pi$
$608$	−0.188725	+	15.4728i	−0.00765382	+	0.627506i
$609$	9.62772	+	5.55857i	0.390135	+	0.225245i
$610$	7.07221	−	2.27884i	0.286345	−	0.0922677i
$611$	−11.2378	−	19.4645i	−0.454633	−	0.787448i
$612$	15.9409	+	22.1674i	0.644372	+	0.896063i
$613$	1.82622	+	1.05437i	0.0737605	+	0.0425856i	0.536427	−	0.843947i	$-0.319774\pi$
$613$	1.82622	+	1.05437i	0.0737605	+	0.0425856i	−0.462666	+	0.886533i	$0.653107\pi$
$614$	−8.70724	+	9.62306i	−0.351396	+	0.388355i
$615$			127.796i			5.15322i
$616$	−1.05248	+	9.35460i	−0.0424054	+	0.376908i
$617$	10.2397	−	17.7356i	0.412233	−	0.714008i	−0.582901	−	0.812543i	$-0.698082\pi$
$617$	10.2397	−	17.7356i	0.412233	−	0.714008i	0.995134	+	0.0985352i	$0.0314157\pi$
$618$	−10.0199	+	46.5807i	−0.403058	+	1.87375i
$619$		−	16.1033i		−	0.647248i	−0.946186	−	0.323624i	$-0.895099\pi$
$619$		−	16.1033i		−	0.647248i	0.946186	−	0.323624i	$-0.104901\pi$
$620$	24.5328	+	34.1153i	0.985263	+	1.37010i
$621$	−4.04458			−0.162303
$622$	−9.06988	−	28.1477i	−0.363669	−	1.12862i
$623$		−	25.2910i		−	1.01326i
$624$	67.7909	+	22.7602i	2.71381	+	0.911139i
$625$	−1.33938	−	2.31987i	−0.0535751	−	0.0927948i
$626$	12.1113	+	37.5865i	0.484065	+	1.50226i
$627$	−4.45083	+	7.70906i	−0.177749	+	0.307870i
$628$	−7.86408	+	17.4336i	−0.313811	+	0.695677i
$629$	−8.08050	+	10.5177i	−0.322191	+	0.419367i
$630$	−21.1553	+	98.3476i	−0.842847	+	3.91826i
$631$	9.13597	+	5.27466i	0.363697	+	0.209981i	0.670701	−	0.741727i	$-0.265993\pi$
$631$	9.13597	+	5.27466i	0.363697	+	0.209981i	−0.307004	+	0.951708i	$0.599327\pi$
$632$	3.19476	−	28.3956i	0.127081	−	1.12952i
$633$	4.49283	+	7.78182i	0.178574	+	0.309299i
$634$	3.99958	+	12.4124i	0.158844	+	0.492959i
$635$	46.4117			1.84179
$636$	5.57340	+	55.6371i	0.221000	+	2.20616i
$637$	15.7855			0.625443
$638$	1.19092	−	1.31618i	0.0471490	−	0.0521080i
$639$	62.3394			2.46611
$640$	41.1401	−	3.61497i	1.62621	−	0.142894i
$641$	2.41408	−	4.18132i	0.0953506	−	0.165152i	−0.814404	−	0.580298i	$-0.802936\pi$
$641$	2.41408	−	4.18132i	0.0953506	−	0.165152i	0.909755	+	0.415146i	$0.136269\pi$
$642$	−0.808815	+	0.260620i	−0.0319214	+	0.0102859i
$643$	15.0790			0.594656			0.297328	−	0.954775i	$-0.403904\pi$
$643$	15.0790			0.594656			0.297328	+	0.954775i	$0.403904\pi$
$644$	1.48118	+	2.05973i	0.0583668	+	0.0811647i
$645$	−31.4999	−	18.1865i	−1.24031	−	0.716091i
$646$	5.65950	−	6.25476i	0.222670	−	0.246090i
$647$	24.0776	−	13.9012i	0.946588	−	0.546513i	0.0545689	−	0.998510i	$-0.482622\pi$
$647$	24.0776	−	13.9012i	0.946588	−	0.546513i	0.892020	+	0.451997i	$0.149288\pi$
$648$	−32.0899	−	3.61039i	−1.26061	−	0.141830i
$649$	−7.92584	−	4.57599i	−0.311116	−	0.179623i
$650$	−51.2843	−	46.4036i	−2.01153	−	1.82010i
$651$	−27.2581	+	47.2123i	−1.06833	+	1.85040i
$652$	−19.4245	−	8.76215i	−0.760723	−	0.343152i
$653$	19.8590	+	34.3967i	0.777141	+	1.34605i	0.933583	+	0.358361i	$0.116664\pi$
$653$	19.8590	+	34.3967i	0.777141	+	1.34605i	−0.156442	+	0.987687i	$0.550002\pi$
$654$	25.5789	−	28.2692i	1.00021	−	1.10541i
$655$	6.30655			0.246417
$656$	30.4561	+	34.4960i	1.18911	+	1.34684i
$657$	33.6573	−	58.2961i	1.31310	−	2.27435i
$658$	3.54145	−	16.4636i	0.138060	−	0.641819i
$659$	33.1962	−	19.1658i	1.29314	−	0.746595i	0.313931	−	0.949446i	$-0.398354\pi$
$659$	33.1962	−	19.1658i	1.29314	−	0.746595i	0.979210	+	0.202851i	$0.0650206\pi$
$660$	21.6564	+	9.76891i	0.842973	+	0.380254i
$661$	−17.6878	−	30.6362i	−0.687976	−	1.19161i	−0.972492	−	0.232938i	$-0.925166\pi$
$661$	−17.6878	−	30.6362i	−0.687976	−	1.19161i	0.284516	−	0.958671i	$-0.408167\pi$
$662$	4.36667	−	1.40705i	0.169715	−	0.0546865i
$663$	−19.4907	−	33.7588i	−0.756955	−	1.31108i
$664$	0.810078	−	0.353590i	0.0314371	−	0.0137219i
$665$	31.0781			1.20516
$666$	−9.65414	−	52.9868i	−0.374090	−	2.05320i
$667$		−	0.478368i		−	0.0185225i
$668$	−4.25622	−	5.91869i	−0.164678	−	0.229001i
$669$	−55.9056	+	32.2771i	−2.16144	+	1.24791i
$670$	2.81782	+	8.74488i	0.108862	+	0.337844i
$671$	1.33293	−	0.769565i	0.0514570	−	0.0297087i
$672$	26.2219	+	46.7247i	1.01153	+	1.80244i
$673$	−2.28050	−	3.94994i	−0.0879067	−	0.152259i	0.818719	−	0.574194i	$-0.194684\pi$
$673$	−2.28050	−	3.94994i	−0.0879067	−	0.152259i	−0.906626	+	0.421935i	$0.861351\pi$
$674$	3.74811	−	17.4244i	0.144372	−	0.671162i
$675$	71.5460	+	41.3071i	2.75381	+	1.58991i
$676$	−39.2160	−	17.6898i	−1.50831	−	0.680377i
$677$			14.0185i			0.538775i	0.963032	+	0.269387i	$0.0868212\pi$
$677$			14.0185i			0.538775i	−0.963032	+	0.269387i	$0.913179\pi$
$678$	−0.413231	−	0.373904i	−0.0158700	−	0.0143597i
$679$	−49.6259	+	28.6515i	−1.90447	+	1.09955i
$680$	−18.1158	−	13.3656i	−0.694711	−	0.512546i
$681$	−45.1079	−	26.0431i	−1.72854	−	0.997972i
$682$	6.45427	+	5.84002i	0.247147	+	0.223626i
$683$	−16.0543	+	27.8069i	−0.614302	+	1.06400i	0.376204	+	0.926537i	$0.377229\pi$
$683$	−16.0543	+	27.8069i	−0.614302	+	1.06400i	−0.990506	+	0.137466i	$0.956104\pi$
$684$	3.41419	+	34.0825i	0.130545	+	1.30318i
$685$	34.4898	+	59.7380i	1.31779	+	2.28247i
$686$	−14.0767	−	12.7370i	−0.537449	−	0.486301i
$687$	−10.6540	+	18.4533i	−0.406475	+	0.704036i
$688$	−12.8369	+	2.59793i	−0.489404	+	0.0990452i
$689$		−	53.9697i		−	2.05608i
$690$	6.09422	−	1.96371i	0.232003	−	0.0747572i
$691$	20.6651	+	11.9310i	0.786136	+	0.453876i	0.838600	−	0.544747i	$-0.183374\pi$
$691$	20.6651	+	11.9310i	0.786136	+	0.453876i	−0.0524645	+	0.998623i	$0.516708\pi$
$692$	5.42591	−	12.0285i	0.206262	−	0.457256i
$693$			20.8380i			0.791568i
$694$	−25.1502	−	22.7567i	−0.954688	−	0.863831i
$695$			75.3890i			2.85967i
$696$	1.12953	−	10.0395i	0.0428146	−	0.380544i
$697$		−	25.0847i		−	0.950149i
$698$	1.31130	+	4.06951i	0.0496334	+	0.154033i
$699$	−33.6472	+	19.4262i	−1.27265	+	0.734767i
$700$	−5.16524	−	51.5625i	−0.195228	−	1.94888i
$701$	9.27764	−	16.0693i	0.350412	−	0.606931i	−0.635910	−	0.771763i	$-0.719375\pi$
$701$	9.27764	−	16.0693i	0.350412	−	0.606931i	0.986322	+	0.164832i	$0.0527083\pi$
$702$	80.6024	+	17.3382i	3.04214	+	0.654387i
$703$	−15.3763	+	6.35828i	−0.579926	+	0.239807i
$704$	8.17383	−	2.52419i	0.308063	−	0.0951341i
$705$	−36.8066	−	21.2503i	−1.38622	−	0.800334i
$706$	0.0571930	+	0.177494i	0.00215249	+	0.00668008i
$707$	5.84047	−	3.37200i	0.219653	−	0.126817i
$708$	−51.8311	+	5.19213i	−1.94793	+	0.195132i
$709$	27.0628			1.01636			0.508182	−	0.861250i	$-0.330318\pi$
$709$	27.0628			1.01636			0.508182	+	0.861250i	$0.330318\pi$
$710$	−48.9232	+	15.7643i	−1.83605	+	0.591622i
$711$		−	63.2530i		−	2.37217i
$712$	−21.0642	+	9.19428i	−0.789415	+	0.344570i
$713$	2.34582			0.0878515
$714$	6.14222	−	28.5542i	0.229867	−	1.06861i
$715$	−19.8588	−	11.4655i	−0.742677	−	0.428785i
$716$	−3.40786	−	34.0194i	−0.127358	−	1.27136i
$717$	−16.3272			−0.609751
$718$	23.2127	+	21.0035i	0.866289	+	0.783845i
$719$	−11.1583	+	19.3267i	−0.416133	+	0.720763i	−0.995547	−	0.0942702i	$-0.969948\pi$
$719$	−11.1583	+	19.3267i	−0.416133	+	0.720763i	0.579414	+	0.815034i	$0.303282\pi$
$720$	89.6020	−	18.1336i	3.33927	−	0.675799i
$721$	29.8409	−	17.2286i	1.11133	−	0.641628i
$722$	−15.5031	+	4.99548i	−0.576965	+	0.185912i
$723$	16.9042	−	29.2789i	0.628673	−	1.08889i
$724$	17.3215	+	24.0873i	0.643749	+	0.895197i
$725$	−4.88555	+	8.46202i	−0.181445	+	0.314272i
$726$	−41.4711	−	8.92073i	−1.53914	−	0.331079i
$727$	45.4818	−	26.2589i	1.68683	−	0.973890i	0.729903	−	0.683550i	$-0.239565\pi$
$727$	45.4818	−	26.2589i	1.68683	−	0.973890i	0.956924	−	0.290340i	$-0.0937683\pi$
$728$	−20.6882	−	47.3968i	−0.766754	−	1.75664i
$729$	19.1180			0.708073
$730$	−11.6720	+	54.2612i	−0.432000	+	2.00830i
$731$	6.18302	+	3.56977i	0.228687	+	0.132033i
$732$	3.60214	−	7.98545i	0.133139	−	0.295151i
$733$	7.24064	−	4.18039i	0.267439	−	0.154406i	−0.360284	−	0.932843i	$-0.617320\pi$
$733$	7.24064	−	4.18039i	0.267439	−	0.154406i	0.627723	+	0.778437i	$0.283987\pi$
$734$	7.37289	−	34.2754i	0.272138	−	1.26513i
$735$	25.8507	−	14.9249i	0.953517	−	0.550513i
$736$	1.17703	−	1.98243i	0.0433858	−	0.0730735i
$737$	0.951577	+	1.64818i	0.0350518	+	0.0607115i
$738$	75.5322	+	68.3438i	2.78038	+	2.51577i
$739$			0.910196i			0.0334821i	0.999860	+	0.0167410i	$0.00532909\pi$
$739$			0.910196i			0.0334821i	−0.999860	+	0.0167410i	$0.994671\pi$
$740$	20.9756	+	39.1420i	0.771080	+	1.43889i
$741$		−	48.9026i		−	1.79648i
$742$	27.1313	−	29.9849i	0.996021	−	1.10078i
$743$	−12.2812	−	21.2716i	−0.450552	−	0.780379i	0.547868	−	0.836565i	$-0.315439\pi$
$743$	−12.2812	−	21.2716i	−0.450552	−	0.780379i	−0.998420	+	0.0561857i	$0.982106\pi$
$744$	49.2314	+	5.53897i	1.80491	+	0.203068i
$745$	−9.35542	+	5.40135i	−0.342756	+	0.197890i
$746$	21.2599	+	4.57317i	0.778381	+	0.167435i
$747$	1.69443	−	0.978282i	0.0619961	−	0.0357935i
$748$	−4.25087	−	1.91751i	−0.155427	−	0.0701112i
$749$	0.532210	+	0.307272i	0.0194465	+	0.0112275i
$750$	−51.0650	−	10.9845i	−1.86463	−	0.401096i
$751$	−44.4202			−1.62092			−0.810458	−	0.585796i	$-0.800782\pi$
$751$	−44.4202			−1.62092			−0.810458	+	0.585796i	$0.800782\pi$
$752$	−14.9996	+	3.03561i	−0.546979	+	0.110697i
$753$	−58.7361	+	33.9113i	−2.14046	+	1.23580i
$754$	−2.05065	+	9.53316i	−0.0746804	+	0.347177i
$755$	−22.2069	+	38.4635i	−0.808193	+	1.39983i
$756$	36.0656	+	50.1527i	1.31169	+	1.82404i
$757$	−5.85100	+	10.1342i	−0.212658	+	0.368335i	−0.952546	−	0.304396i	$-0.901545\pi$
$757$	−5.85100	+	10.1342i	−0.212658	+	0.368335i	0.739887	+	0.672731i	$0.234879\pi$
$758$	−14.3832	−	44.6371i	−0.522420	−	1.62129i
$759$	1.14860	−	0.663145i	0.0416916	−	0.0240706i
$760$	−11.2981	−	25.8842i	−0.409826	−	0.938917i
$761$	6.02581	−	10.4370i	0.218436	−	0.378341i	−0.735894	−	0.677096i	$-0.763238\pi$
$761$	6.02581	−	10.4370i	0.218436	−	0.378341i	0.954330	+	0.298755i	$0.0965713\pi$
$762$	36.7134	−	40.5749i	1.32999	−	1.46987i
$763$	−27.5708			−0.998130
$764$	−7.96612	+	0.797999i	−0.288204	+	0.0288706i
$765$	−43.1575	−	24.9170i	−1.56036	−	0.900877i
$766$	−3.78559	−	0.814308i	−0.136779	−	0.0294221i
$767$	50.2777			1.81542
$768$	29.3831	−	38.8259i	1.06027	−	1.40101i
$769$			17.5418i			0.632572i	0.948664	+	0.316286i	$0.102436\pi$
$769$			17.5418i			0.632572i	−0.948664	+	0.316286i	$0.897564\pi$
$770$	−5.26946	−	16.3534i	−0.189898	−	0.589334i
$771$	−6.34533			−0.228522
$772$	5.78772	−	0.579780i	0.208305	−	0.0208667i
$773$	1.02259	−	0.590390i	0.0367799	−	0.0212349i	−0.481497	−	0.876448i	$-0.659907\pi$
$773$	1.02259	−	0.590390i	0.0367799	−	0.0212349i	0.518277	+	0.855213i	$0.326574\pi$
$774$	−27.5947	+	8.89170i	−0.991871	+	0.319606i
$775$	−41.4960	−	23.9577i	−1.49058	−	0.860587i
$776$	41.9042	+	30.9162i	1.50427	+	1.10983i
$777$	−35.1004	+	45.6871i	−1.25922	+	1.63901i
$778$	−8.43521	+	39.2140i	−0.302417	+	1.40589i
$779$	15.7345	−	27.2530i	0.563747	−	0.976439i
$780$	−129.867	+	13.0093i	−4.64997	+	0.465807i
$781$	−9.22073	+	5.32359i	−0.329944	+	0.190493i
$782$	−1.19622	+	0.385451i	−0.0427767	+	0.0137837i
$783$		−	11.6479i		−	0.416261i
$784$	3.42100	−	10.1894i	0.122179	−	0.363907i
$785$		−	34.9066i		−	1.24587i
$786$	4.98872	−	5.51343i	0.177942	−	0.196658i
$787$			22.9833i			0.819265i	0.912251	+	0.409633i	$0.134343\pi$
$787$			22.9833i			0.819265i	−0.912251	+	0.409633i	$0.865657\pi$
$788$	16.9728	−	37.6264i	0.604630	−	1.34038i
$789$	36.8854	+	21.2958i	1.31316	+	0.758151i
$790$	15.9953	+	49.6401i	0.569087	+	1.76612i
$791$			0.403021i			0.0143298i
$792$	17.3554	−	7.57543i	0.616697	−	0.269181i
$793$	−4.22772	+	7.32263i	−0.150131	+	0.260034i
$794$	−3.45780	+	3.82149i	−0.122713	+	0.135620i
$795$	−51.0275	−	88.3821i	−1.80976	−	3.13459i
$796$	20.8444	−	2.08807i	0.738809	−	0.0740096i
$797$	5.05894	−	8.76235i	0.179197	−	0.310378i	−0.762409	−	0.647096i	$-0.775983\pi$
$797$	5.05894	−	8.76235i	0.179197	−	0.310378i	0.941606	+	0.336718i	$0.109317\pi$
$798$	24.5840	−	27.1697i	0.870263	−	0.961796i
$799$	7.22467	+	4.17117i	0.255591	+	0.147565i
$800$	−41.0674	+	23.0470i	−1.45195	+	0.814836i
$801$	−44.0598	+	25.4380i	−1.55678	+	0.898806i
$802$	18.4604	−	20.4020i	0.651859	−	0.720421i
$803$			11.4969i			0.405717i
$804$	9.87411	+	4.45408i	0.348233	+	0.157083i
$805$	−4.01008	−	2.31522i	−0.141337	−	0.0816007i
$806$	−46.7486	−	10.0560i	−1.64665	−	0.354206i
$807$	−9.90474	−	17.1555i	−0.348663	−	0.603903i
$808$	−4.93170	−	3.63852i	−0.173496	−	0.128003i
$809$	−43.4678	+	25.0961i	−1.52825	+	0.882333i	−0.528810	+	0.848740i	$0.677362\pi$
$809$	−43.4678	+	25.0961i	−1.52825	+	0.882333i	−0.999436	+	0.0335927i	$0.989305\pi$
$810$	56.0983	−	18.0763i	1.97109	−	0.635135i
$811$	42.9645	−	24.8056i	1.50869	−	0.871041i	0.508739	−	0.860921i	$-0.330112\pi$
$811$	42.9645	−	24.8056i	1.50869	−	0.871041i	0.999949	−	0.0101208i	$-0.00322161\pi$
$812$	−5.93176	+	4.26562i	−0.208164	+	0.149694i
$813$			25.1199i			0.880993i
$814$	5.95287	+	7.01293i	0.208648	+	0.245803i
$815$	38.8929			1.36236
$816$	−26.0150	+	5.26490i	−0.910708	+	0.184308i
$817$	4.47832	+	7.75668i	0.156677	+	0.271372i
$818$	0.885945	+	2.74946i	0.0309764	+	0.0961327i
$819$	−57.2382	−	99.1395i	−2.00006	−	3.46421i
$820$	−76.5593	−	34.5349i	−2.67357	−	1.20601i
$821$	−10.4536	+	6.03540i	−0.364834	+	0.210637i	−0.671199	−	0.741277i	$-0.734220\pi$
$821$	−10.4536	+	6.03540i	−0.364834	+	0.210637i	0.306365	+	0.951914i	$0.400887\pi$
$822$	79.5080	+	17.1028i	2.77316	+	0.596527i
$823$	−24.2696	+	42.0362i	−0.845985	+	1.46529i	0.0387787	+	0.999248i	$0.487653\pi$
$823$	−24.2696	+	42.0362i	−0.845985	+	1.46529i	−0.884763	+	0.466041i	$0.845680\pi$
$824$	−25.1976	−	18.5904i	−0.877802	−	0.647627i
$825$	−27.0907			−0.943176
$826$	27.9337	+	25.2753i	0.971937	+	0.879439i
$827$	5.98032	+	10.3582i	0.207956	+	0.360191i	0.951071	−	0.308974i	$-0.0999855\pi$
$827$	5.98032	+	10.3582i	0.207956	+	0.360191i	−0.743114	+	0.669164i	$0.766652\pi$
$828$	2.09850	−	4.65209i	0.0729279	−	0.161671i
$829$	−9.34000	+	16.1773i	−0.324391	+	0.561863i	−0.981389	−	0.192030i	$-0.938493\pi$
$829$	−9.34000	+	16.1773i	−0.324391	+	0.561863i	0.656998	+	0.753893i	$0.271826\pi$
$830$	−1.08238	+	1.19623i	−0.0375701	+	0.0415217i
$831$	54.9009	+	31.6970i	1.90449	+	1.09956i
$832$	−31.9546	+	34.4613i	−1.10783	+	1.19473i
$833$	−5.07416	+	2.92957i	−0.175809	+	0.101503i
$834$	65.9079	+	59.6355i	2.28221	+	2.06501i
$835$	11.5231	+	6.65285i	0.398772	+	0.230231i
$836$	−3.41554	−	4.74964i	−0.118129	−	0.164270i
$837$	57.1187			1.97431
$838$	−11.8282	−	36.7079i	−0.408598	−	1.26805i
$839$	−16.3706	+	28.3547i	−0.565176	+	0.978914i	0.431857	+	0.901942i	$0.357859\pi$
$839$	−16.3706	+	28.3547i	−0.565176	+	0.978914i	−0.997033	+	0.0769720i	$0.975475\pi$
$840$	−78.6923	−	58.0579i	−2.71514	−	2.00319i
$841$	−27.6224			−0.952495
$842$	12.0130	+	10.8697i	0.413994	+	0.374595i
$843$	59.3378			2.04370
$844$	−5.87602	+	0.588626i	−0.202261	+	0.0202613i
$845$	78.5205			2.70119
$846$	−32.2436	+	10.3897i	−1.10856	+	0.357205i
$847$	15.3388	+	26.5675i	0.527046	+	0.912870i
$848$	−34.8370	−	11.6962i	−1.19631	−	0.401650i
$849$	4.33213	+	2.50115i	0.148678	+	0.0858394i
$850$	25.0969	+	5.39853i	0.860817	+	0.185168i
$851$	2.45770	+	0.325059i	0.0842490	+	0.0111429i
$852$	−24.9184	+	55.2407i	−0.853689	+	1.89251i
$853$	−27.6395	+	47.8730i	−0.946358	+	1.63914i	−0.193349	+	0.981130i	$0.561935\pi$
$853$	−27.6395	+	47.8730i	−0.946358	+	1.63914i	−0.753009	+	0.658011i	$0.771398\pi$
$854$	−6.03005	+	1.94303i	−0.206344	+	0.0664892i
$855$	−31.2587	−	54.1417i	−1.06903	−	1.85161i
$856$	0.0624391	−	0.554970i	0.00213412	−	0.0189685i
$857$		−	34.4556i		−	1.17698i	−0.808504	−	0.588490i	$-0.799723\pi$
$857$		−	34.4556i		−	1.17698i	0.808504	−	0.588490i	$-0.200277\pi$
$858$	−25.7326	+	8.29170i	−0.878498	+	0.283074i
$859$	29.5325			1.00763			0.503817	−	0.863810i	$-0.331928\pi$
$859$	29.5325			1.00763			0.503817	+	0.863810i	$0.331928\pi$
$860$	19.4074	−	13.9562i	0.661788	−	0.475902i
$861$		−	108.964i		−	3.71347i
$862$	5.82455	+	1.25290i	0.198385	+	0.0426741i
$863$	−15.7582	+	27.2939i	−0.536414	+	0.929096i	0.462680	+	0.886526i	$0.346888\pi$
$863$	−15.7582	+	27.2939i	−0.536414	+	0.929096i	−0.999093	+	0.0425704i	$0.986445\pi$
$864$	28.6597	−	48.2706i	0.975021	−	1.64220i
$865$			24.0842i			0.818888i
$866$	13.0789	+	11.8342i	0.444439	+	0.402142i
$867$	−32.2728	−	18.6327i	−1.09604	−	0.632800i
$868$	−20.9177	−	29.0881i	−0.709992	−	0.987314i
$869$	5.40161	+	9.35586i	0.183237	+	0.317376i
$870$	5.65524	+	17.5506i	0.191730	+	0.595021i
$871$	−9.05452	−	5.22763i	−0.306801	−	0.177131i
$872$	10.0231	+	22.9630i	0.339425	+	0.777626i
$873$	99.8287	+	57.6361i	3.37869	+	1.95069i
$874$	−1.54140	−	0.331566i	−0.0521385	−	0.0112154i
$875$	18.8872	+	32.7136i	0.638505	+	1.10592i
$876$	38.2043	+	53.1268i	1.29080	+	1.79499i
$877$		−	49.8657i		−	1.68385i	−0.539598	−	0.841923i	$-0.681424\pi$
$877$		−	49.8657i		−	1.68385i	0.539598	−	0.841923i	$-0.318576\pi$
$878$	−45.8431	−	9.86118i	−1.54713	−	0.332799i
$879$	4.65443	−	8.06171i	0.156990	−	0.271915i
$880$	−11.7046	+	10.3339i	−0.394563	+	0.348356i
$881$	−8.19576	−	14.1955i	−0.276122	−	0.478258i	0.694295	−	0.719690i	$-0.255716\pi$
$881$	−8.19576	−	14.1955i	−0.276122	−	0.478258i	−0.970418	+	0.241432i	$0.922383\pi$
$882$	5.00349	−	23.2604i	0.168476	−	0.783219i
$883$	19.8738	+	34.4224i	0.668807	+	1.15841i	0.978238	+	0.207486i	$0.0665280\pi$
$883$	19.8738	+	34.4224i	0.668807	+	1.15841i	−0.309431	+	0.950922i	$0.600139\pi$
$884$	25.4912	−	2.55356i	0.857361	−	0.0858854i
$885$	82.3360	−	47.5367i	2.76770	−	1.59793i
$886$	34.8178	−	38.4800i	1.16973	−	1.29276i
$887$	31.9629			1.07321			0.536605	−	0.843834i	$-0.319707\pi$
$887$	31.9629			1.07321			0.536605	+	0.843834i	$0.319707\pi$
$888$	50.8120	+	12.6251i	1.70514	+	0.423671i
$889$	−39.5724			−1.32722
$890$	28.1449	−	31.1051i	0.943419	−	1.04265i
$891$	10.5730	−	6.10435i	0.354210	−	0.204503i
$892$	−4.22876	−	42.2141i	−0.141590	−	1.41343i
$893$	5.23278	+	9.06344i	0.175108	+	0.303297i
$894$	−2.67842	+	12.4515i	−0.0895798	+	0.416442i
$895$	31.2008	+	54.0414i	1.04293	+	1.80640i
$896$	−35.0777	+	3.08227i	−1.17186	+	0.102971i
$897$	−3.64309	+	6.31001i	−0.121639	+	0.210685i
$898$	−33.8394	−	7.27911i	−1.12924	−	0.242907i
$899$			6.75565i			0.225314i
$900$	−84.6327	+	60.8606i	−2.82109	+	2.02869i
$901$	10.0160	+	17.3483i	0.333682	+	0.577955i
$902$	−17.0084	−	3.65864i	−0.566319	−	0.121819i
$903$	26.8580	+	15.5065i	0.893779	+	0.516024i
$904$	0.335666	−	0.146514i	0.0111641	−	0.00487300i
$905$	−46.8954	−	27.0751i	−1.55886	−	0.900006i
$906$	16.0598	+	49.8403i	0.533550	+	1.65583i
$907$	1.41640	+	2.45328i	0.0470308	+	0.0814598i	0.888583	−	0.458717i	$-0.151691\pi$
$907$	1.41640	+	2.45328i	0.0470308	+	0.0814598i	−0.841552	+	0.540177i	$0.818357\pi$
$908$	27.7915	−	19.9853i	0.922294	−	0.663235i
$909$	−11.7488	−	6.78319i	−0.389684	−	0.224984i
$910$	69.9900	+	63.3291i	2.32015	+	2.09934i
$911$		−	11.2047i		−	0.371228i	−0.982623	−	0.185614i	$-0.940573\pi$
$911$		−	11.2047i		−	0.371228i	0.982623	−	0.185614i	$-0.0594275\pi$
$912$	−31.5662	−	10.5981i	−1.04526	−	0.350938i
$913$	−0.167084	+	0.289399i	−0.00552969	+	0.00957770i
$914$	−14.6792	−	3.15760i	−0.485544	−	0.104444i
$915$			15.9890i			0.528578i
$916$	−8.17582	−	11.3693i	−0.270137	−	0.375652i
$917$	−5.37722			−0.177571
$918$	−29.1269	+	9.38542i	−0.961332	+	0.309765i
$919$		−	56.8891i		−	1.87660i	−0.345825	−	0.938299i	$-0.612401\pi$
$919$		−	56.8891i		−	1.87660i	0.345825	−	0.938299i	$-0.387599\pi$
$920$	−0.470463	+	4.18157i	−0.0155107	+	0.137862i
$921$	−13.9630	−	24.1847i	−0.460097	−	0.796912i
$922$	−16.5988	+	5.34854i	−0.546652	+	0.176145i
$923$	29.2459	−	50.6555i	0.962642	−	1.66734i
$924$	−18.4651	−	8.32936i	−0.607457	−	0.274016i
$925$	−40.1554	−	30.8505i	−1.32030	−	1.01436i
$926$	7.54654	+	1.62332i	0.247995	+	0.0533455i
$927$	−60.0286	−	34.6575i	−1.97160	−	1.13830i
$928$	5.70915	+	3.38969i	0.187412	+	0.111272i
$929$	3.37921	+	5.85296i	0.110868	+	0.192029i	0.916121	−	0.400903i	$-0.131304\pi$
$929$	3.37921	+	5.85296i	0.110868	+	0.192029i	−0.805252	+	0.592932i	$0.797970\pi$
$930$	−86.0644	+	27.7321i	−2.82216	+	0.909371i
$931$	−7.35036			−0.240898
$932$	−2.54511	−	25.4069i	−0.0833680	−	0.832230i
$933$	63.6366			2.08337
$934$	1.03790	+	0.939121i	0.0339610	+	0.0307290i
$935$	8.51134			0.278351
$936$	−61.7624	+	83.7134i	−2.01877	+	2.73626i
$937$	7.63268	−	13.2202i	0.249349	−	0.431885i	−0.713997	−	0.700149i	$-0.753117\pi$
$937$	7.63268	−	13.2202i	0.249349	−	0.431885i	0.963345	+	0.268265i	$0.0864502\pi$
$938$	−2.40258	−	7.45623i	−0.0784471	−	0.243455i
$939$	−84.9760			−2.77309
$940$	22.6770	−	16.3074i	0.739643	−	0.531888i
$941$	−43.4316	−	25.0753i	−1.41583	−	0.817430i	−0.419902	−	0.907570i	$-0.637935\pi$
$941$	−43.4316	−	25.0753i	−1.41583	−	0.817430i	−0.995929	+	0.0901394i	$0.971269\pi$
$942$	−30.5167	−	27.6125i	−0.994289	−	0.899663i
$943$	−4.06052	+	2.34434i	−0.132229	+	0.0763423i
$944$	10.8961	−	32.4538i	0.354638	−	1.05628i
$945$	−97.6421	−	56.3737i	−3.17630	−	1.83384i
$946$	3.32226	−	3.67169i	0.108016	−	0.119377i
$947$	−10.6499	+	18.4462i	−0.346075	+	0.599420i	−0.985548	−	0.169393i	$-0.945819\pi$
$947$	−10.6499	+	18.4462i	−0.346075	+	0.599420i	0.639473	+	0.768813i	$0.279152\pi$
$948$	56.0502	+	25.2835i	1.82043	+	0.821171i
$949$	−31.5800	−	54.6981i	−1.02513	−	1.77558i
$950$	23.8800	+	21.6074i	0.774771	+	0.701036i
$951$	−28.0621			−0.909976
$952$	15.4463	+	11.3960i	0.500617	+	0.369347i
$953$	10.3782	−	17.9756i	0.336184	−	0.582288i	−0.647527	−	0.762042i	$-0.724197\pi$
$953$	10.3782	−	17.9756i	0.336184	−	0.582288i	0.983712	+	0.179754i	$0.0575302\pi$
$954$	−79.5262	−	17.1067i	−2.57476	−	0.553849i
$955$	12.6545	−	7.30610i	0.409491	−	0.236420i
$956$	4.41220	−	9.78125i	0.142701	−	0.316348i
$957$	1.90977	+	3.30782i	0.0617342	+	0.106927i
$958$	9.04269	+	28.0633i	0.292156	+	0.906683i
$959$	−29.4073	−	50.9350i	−0.949612	−	1.64478i
$960$	−19.7471	+	86.6472i	−0.637335	+	2.79653i
$961$	−2.12830			−0.0686547
$962$	−47.5849	−	17.0135i	−1.53420	−	0.548538i
$963$		−	1.23623i		−	0.0398370i
$964$	12.9722	+	18.0391i	0.417805	+	0.580999i
$965$	−9.19406	+	5.30819i	−0.295967	+	0.170877i
$966$	−5.19618	+	1.67434i	−0.167184	+	0.0538709i
$967$	−30.5900	+	17.6612i	−0.983710	+	0.567945i	−0.903388	−	0.428824i	$-0.858928\pi$
$967$	−30.5900	+	17.6612i	−0.983710	+	0.567945i	−0.0803216	+	0.996769i	$0.525595\pi$
$968$	16.5511	−	22.4336i	0.531974	−	0.721044i
$969$	9.07564	+	15.7195i	0.291552	+	0.504982i
$970$	−92.9192	−	19.9876i	−2.98346	−	0.641763i
$971$	−47.2114	−	27.2575i	−1.51508	−	0.874734i	−0.999844	−	0.0176891i	$-0.994369\pi$
$971$	−47.2114	−	27.2575i	−1.51508	−	0.874734i	−0.515241	−	0.857045i	$-0.672298\pi$
$972$	4.08953	−	9.06594i	0.131172	−	0.290790i
$973$		−	64.2796i		−	2.06071i
$974$	−15.2689	+	16.8749i	−0.489248	+	0.540707i
$975$	128.888	−	74.4133i	4.12771	−	2.38313i
$976$	3.81047	+	4.31591i	0.121970	+	0.138149i
$977$	18.1963	+	10.5056i	0.582152	+	0.336105i	0.761988	−	0.647591i	$-0.224224\pi$
$977$	18.1963	+	10.5056i	0.582152	+	0.336105i	−0.179836	+	0.983697i	$0.557557\pi$
$978$	30.7658	−	34.0017i	0.983782	−	1.08726i
$979$	4.34464	−	7.52514i	0.138855	−	0.240505i
$980$	1.95538	+	19.5198i	0.0624622	+	0.623536i
$981$	27.7310	+	48.0315i	0.885384	+	1.53353i
$982$	−31.8143	+	35.1605i	−1.01523	+	1.12202i
$983$	−11.7198	+	20.2993i	−0.373804	+	0.647447i	−0.990147	−	0.140030i	$-0.955280\pi$
$983$	−11.7198	+	20.2993i	−0.373804	+	0.647447i	0.616343	+	0.787478i	$0.288613\pi$
$984$	−90.7531	+	39.6127i	−2.89310	+	1.26281i
$985$			75.3377i			2.40046i
$986$	−1.11005	−	3.44495i	−0.0353512	−	0.109710i
$987$	31.3828	+	18.1189i	0.998926	+	0.576730i
$988$	29.2964	+	13.2152i	0.932041	+	0.420432i
$989$		−	1.33448i		−	0.0424341i
$990$	−23.1894	+	25.6284i	−0.737007	+	0.814524i
$991$		−	36.7815i		−	1.16840i	−0.811608	−	0.584202i	$-0.801408\pi$
$991$		−	36.7815i		−	1.16840i	0.811608	−	0.584202i	$-0.198592\pi$
$992$	−16.6223	+	27.9965i	−0.527759	+	0.888890i
$993$			9.87222i			0.313285i
$994$	41.7138	−	13.4412i	1.32308	−	0.426330i
$995$	−33.1123	+	19.1174i	−1.04973	+	0.606061i
$996$	0.189582	+	1.89252i	0.00600714	+	0.0599669i
$997$	1.21458	−	2.10371i	0.0384661	−	0.0666253i	−0.846151	−	0.532943i	$-0.821086\pi$
$997$	1.21458	−	2.10371i	0.0384661	−	0.0666253i	0.884618	+	0.466317i	$0.154420\pi$
$998$	−1.99719	+	9.28462i	−0.0632200	+	0.293899i
$999$	59.8431	+	7.91491i	1.89335	+	0.250417i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.q.a.101.10	yes	72
4.3	odd	2		1184.2.y.a.1137.2		72
8.3	odd	2		1184.2.y.a.1137.35		72
8.5	even	2	inner	296.2.q.a.101.4	yes	72
37.11	even	6	inner	296.2.q.a.85.4	✓	72
148.11	odd	6		1184.2.y.a.529.35		72
296.11	odd	6		1184.2.y.a.529.2		72
296.85	even	6	inner	296.2.q.a.85.10	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.q.a.85.4	✓	72	37.11	even	6	inner
296.2.q.a.85.10	yes	72	296.85	even	6	inner
296.2.q.a.101.4	yes	72	8.5	even	2	inner
296.2.q.a.101.10	yes	72	1.1	even	1	trivial
1184.2.y.a.529.2		72	296.11	odd	6
1184.2.y.a.529.35		72	148.11	odd	6
1184.2.y.a.1137.2		72	4.3	odd	2
1184.2.y.a.1137.35		72	8.3	odd	2

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.q (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.04865 - 0.948854i) q^{2} +(2.63548 - 1.52159i) q^{3} +(0.199351 + 1.99004i) q^{4} +(-1.82516 - 3.16127i) q^{5} +(-4.20748 - 0.905059i) q^{6} +(1.55620 + 2.69542i) q^{7} +(1.67921 - 2.27602i) q^{8} +(3.13050 - 5.42218i) q^{9} +(-1.08562 + 5.04689i) q^{10} +1.06934i q^{11} +(3.55342 + 4.94138i) q^{12} +(-2.93729 - 5.08753i) q^{13} +(0.925646 - 4.30318i) q^{14} +(-9.62034 - 5.55431i) q^{15} +(-3.92052 + 0.793432i) q^{16} +(1.88835 + 1.09024i) q^{17} +(-8.42767 + 2.71560i) q^{18} +(1.36772 + 2.36896i) q^{19} +(5.92721 - 4.26234i) q^{20} +(8.20268 + 4.73582i) q^{21} +(1.01465 - 1.12137i) q^{22} -0.407563i q^{23} +(0.962341 - 8.55347i) q^{24} +(-4.16242 + 7.20952i) q^{25} +(-1.74713 + 8.12211i) q^{26} -9.92382i q^{27} +(-5.05377 + 3.63424i) q^{28} +1.17373 q^{29} +(4.81818 + 14.9528i) q^{30} +5.75572i q^{31} +(4.86412 + 2.88797i) q^{32} +(1.62710 + 2.81822i) q^{33} +(-0.945747 - 2.93505i) q^{34} +(5.68064 - 9.83916i) q^{35} +(11.4144 + 5.14890i) q^{36} +(-0.797567 + 6.03025i) q^{37} +(0.813533 - 3.78198i) q^{38} +(-15.4823 - 8.93871i) q^{39} +(-10.2599 - 1.15433i) q^{40} +(-5.75210 - 9.96293i) q^{41} +(-4.10817 - 12.7494i) q^{42} +3.27430 q^{43} +(-2.12803 + 0.213173i) q^{44} -22.8546 q^{45} +(-0.386718 + 0.427392i) q^{46} +3.82592 q^{47} +(-9.12516 + 8.05651i) q^{48} +(-1.34354 + 2.32708i) q^{49} +(11.2057 - 3.61076i) q^{50} +6.63560 q^{51} +(9.53883 - 6.85952i) q^{52} +(7.95618 + 4.59350i) q^{53} +(-9.41626 + 10.4067i) q^{54} +(3.38047 - 1.95171i) q^{55} +(8.74803 + 0.984231i) q^{56} +(7.20919 + 4.16223i) q^{57} +(-1.23084 - 1.11370i) q^{58} +(-4.27927 + 7.41191i) q^{59} +(9.13547 - 20.2521i) q^{60} +(-0.719665 - 1.24650i) q^{61} +(5.46134 - 6.03576i) q^{62} +19.4868 q^{63} +(-2.36052 - 7.64382i) q^{64} +(-10.7220 + 18.5711i) q^{65} +(0.967815 - 4.49922i) q^{66} +(1.54131 - 0.889874i) q^{67} +(-1.79318 + 3.97523i) q^{68} +(-0.620145 - 1.07412i) q^{69} +(-15.2930 + 4.92778i) q^{70} +(4.97840 + 8.62284i) q^{71} +(-7.08422 - 16.2300i) q^{72} +10.7514 q^{73} +(6.55820 - 5.56687i) q^{74} +25.3341i q^{75} +(-4.44167 + 3.19407i) q^{76} +(-2.88232 + 1.66411i) q^{77} +(7.75404 + 24.0641i) q^{78} +(8.74920 - 5.05135i) q^{79} +(9.66383 + 10.9457i) q^{80} +(-5.70853 - 9.88747i) q^{81} +(-3.42141 + 15.9056i) q^{82} +(0.270633 + 0.156250i) q^{83} +(-7.78927 + 17.2678i) q^{84} -7.95944i q^{85} +(-3.43361 - 3.10683i) q^{86} +(3.09334 - 1.78594i) q^{87} +(2.43383 + 1.79564i) q^{88} +(-7.03719 - 4.06293i) q^{89} +(23.9666 + 21.6857i) q^{90} +(9.14203 - 15.8345i) q^{91} +(0.811066 - 0.0812479i) q^{92} +(8.75787 + 15.1691i) q^{93} +(-4.01207 - 3.63024i) q^{94} +(4.99261 - 8.64746i) q^{95} +(17.2136 + 0.209958i) q^{96} +18.4112i q^{97} +(3.61698 - 1.16548i) q^{98} +(5.79815 + 3.34756i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) \) 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

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