LMFDB - Embedded newform 296.2.q.a.101.3

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			101.3
Character	$\chi$	$=$	296.101
Dual form			296.2.q.a.85.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.36412 - 0.373059i) q^{2} +(2.16163 - 1.24802i) q^{3} +(1.72165 + 1.01780i) q^{4} +(0.890777 + 1.54287i) q^{5} +(-3.41431 + 0.896032i) q^{6} +(-1.76150 - 3.05101i) q^{7} +(-1.96885 - 2.03068i) q^{8} +(1.61510 - 2.79744i) q^{9} +(-0.639545 - 2.43698i) q^{10} -4.13321i q^{11} +(4.99181 + 0.0514445i) q^{12} +(0.0436485 + 0.0756014i) q^{13} +(1.26469 + 4.81908i) q^{14} +(3.85106 + 2.22341i) q^{15} +(1.92818 + 3.50458i) q^{16} +(6.70855 + 3.87318i) q^{17} +(-3.24680 + 3.21351i) q^{18} +(-2.34289 - 4.05801i) q^{19} +(-0.0367187 + 3.56292i) q^{20} +(-7.61542 - 4.39677i) q^{21} +(-1.54193 + 5.63820i) q^{22} +4.36925i q^{23} +(-6.79024 - 1.93242i) q^{24} +(0.913033 - 1.58142i) q^{25} +(-0.0313380 - 0.119413i) q^{26} -0.574592i q^{27} +(0.0726107 - 7.04562i) q^{28} +3.98156 q^{29} +(-4.42385 - 4.46968i) q^{30} +1.77678i q^{31} +(-1.32286 - 5.50000i) q^{32} +(-5.15832 - 8.93447i) q^{33} +(-7.70634 - 7.78617i) q^{34} +(3.13820 - 5.43553i) q^{35} +(5.62786 - 3.17237i) q^{36} +(-3.42531 + 5.02666i) q^{37} +(1.68211 + 6.40966i) q^{38} +(0.188704 + 0.108948i) q^{39} +(1.37927 - 4.84655i) q^{40} +(4.07638 + 7.06049i) q^{41} +(8.74811 + 8.83873i) q^{42} -5.20812 q^{43} +(4.20676 - 7.11595i) q^{44} +5.75478 q^{45} +(1.62999 - 5.96019i) q^{46} -4.78830 q^{47} +(8.54181 + 5.16921i) q^{48} +(-2.70576 + 4.68651i) q^{49} +(-1.83545 + 1.81663i) q^{50} +19.3352 q^{51} +(-0.00179923 + 0.174585i) q^{52} +(-8.84851 - 5.10869i) q^{53} +(-0.214357 + 0.783813i) q^{54} +(6.37700 - 3.68176i) q^{55} +(-2.72748 + 9.58399i) q^{56} +(-10.1289 - 5.84795i) q^{57} +(-5.43133 - 1.48536i) q^{58} +(-1.80578 + 3.12770i) q^{59} +(4.36722 + 7.74754i) q^{60} +(-0.507638 - 0.879255i) q^{61} +(0.662844 - 2.42374i) q^{62} -11.3800 q^{63} +(-0.247291 + 7.99618i) q^{64} +(-0.0777621 + 0.134688i) q^{65} +(3.70349 + 14.1121i) q^{66} +(-2.90651 + 1.67808i) q^{67} +(7.60768 + 13.4962i) q^{68} +(5.45291 + 9.44471i) q^{69} +(-6.30867 + 6.24399i) q^{70} +(7.96677 + 13.7988i) q^{71} +(-8.86057 + 2.22798i) q^{72} -14.8336 q^{73} +(6.54778 - 5.57912i) q^{74} -4.55793i q^{75} +(0.0965763 - 9.37108i) q^{76} +(-12.6104 + 7.28064i) q^{77} +(-0.216771 - 0.219016i) q^{78} +(3.90643 - 2.25538i) q^{79} +(-3.68954 + 6.09674i) q^{80} +(4.12820 + 7.15025i) q^{81} +(-2.92669 - 11.1521i) q^{82} +(7.49112 + 4.32500i) q^{83} +(-8.63611 - 15.3207i) q^{84} +13.8006i q^{85} +(7.10450 + 1.94294i) q^{86} +(8.60666 - 4.96906i) q^{87} +(-8.39320 + 8.13765i) q^{88} +(-7.29943 - 4.21433i) q^{89} +(-7.85021 - 2.14687i) q^{90} +(0.153773 - 0.266343i) q^{91} +(-4.44701 + 7.52234i) q^{92} +(2.21745 + 3.84074i) q^{93} +(6.53182 + 1.78632i) q^{94} +(4.17399 - 7.22956i) q^{95} +(-9.72364 - 10.2380i) q^{96} +9.43247i q^{97} +(5.43932 - 5.38356i) q^{98} +(-11.5624 - 6.67555i) 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 $

$2$	−1.36412	−	0.373059i	−0.964579	−	0.263793i
$2$	−1.36412	−	0.373059i	−0.964579	−	0.263793i
$3$	2.16163	−	1.24802i	1.24802	−	0.720544i	0.277305	−	0.960782i	$-0.410559\pi$
$3$	2.16163	−	1.24802i	1.24802	−	0.720544i	0.970714	+	0.240238i	$0.0772255\pi$
$4$	1.72165	+	1.01780i	0.860827	+	0.508898i
$5$	0.890777	+	1.54287i	0.398368	+	0.689993i	0.993525	−	0.113617i	$-0.0362435\pi$
$5$	0.890777	+	1.54287i	0.398368	+	0.689993i	−0.595157	+	0.803609i	$0.702910\pi$
$6$	−3.41431	+	0.896032i	−1.39389	+	0.365804i
$7$	−1.76150	−	3.05101i	−0.665784	−	1.15317i	−0.979072	−	0.203514i	$-0.934764\pi$
$7$	−1.76150	−	3.05101i	−0.665784	−	1.15317i	0.313288	−	0.949658i	$-0.398569\pi$
$8$	−1.96885	−	2.03068i	−0.696092	−	0.717952i
$9$	1.61510	−	2.79744i	0.538367	−	0.932479i
$10$	−0.639545	−	2.43698i	−0.202242	−	0.770639i
$11$		−	4.13321i		−	1.24621i	−0.782139	−	0.623104i	$-0.785871\pi$
$11$		−	4.13321i		−	1.24621i	0.782139	−	0.623104i	$-0.214129\pi$
$12$	4.99181	+	0.0514445i	1.44101	+	0.0148508i
$13$	0.0436485	+	0.0756014i	0.0121059	+	0.0209680i	0.872015	−	0.489479i	$-0.162813\pi$
$13$	0.0436485	+	0.0756014i	0.0121059	+	0.0209680i	−0.859909	+	0.510447i	$0.829480\pi$
$14$	1.26469	+	4.81908i	0.338003	+	1.28795i
$15$	3.85106	+	2.22341i	0.994340	+	0.574083i
$16$	1.92818	+	3.50458i	0.482046	+	0.876146i
$17$	6.70855	+	3.87318i	1.62706	+	0.939384i	0.984964	+	0.172761i	$0.0552689\pi$
$17$	6.70855	+	3.87318i	1.62706	+	0.939384i	0.642097	+	0.766623i	$0.278064\pi$
$18$	−3.24680	+	3.21351i	−0.765279	+	0.757433i
$19$	−2.34289	−	4.05801i	−0.537497	−	0.930972i	−0.999038	−	0.0438529i	$-0.986037\pi$
$19$	−2.34289	−	4.05801i	−0.537497	−	0.930972i	0.461541	−	0.887119i	$-0.347297\pi$
$20$	−0.0367187	+	3.56292i	−0.00821055	+	0.796693i
$21$	−7.61542	−	4.39677i	−1.66182	−	0.959453i
$22$	−1.54193	+	5.63820i	−0.328741	+	1.20207i
$23$			4.36925i			0.911052i	0.890222	+	0.455526i	$0.150549\pi$
$23$			4.36925i			0.911052i	−0.890222	+	0.455526i	$0.849451\pi$
$24$	−6.79024	−	1.93242i	−1.38605	−	0.394453i
$25$	0.913033	−	1.58142i	0.182607	−	0.316284i
$26$	−0.0313380	−	0.119413i	−0.00614589	−	0.0234188i
$27$		−	0.574592i		−	0.110580i
$28$	0.0726107	−	7.04562i	0.0137221	−	1.33150i
$29$	3.98156			0.739357			0.369678	−	0.929160i	$-0.379468\pi$
$29$	3.98156			0.739357			0.369678	+	0.929160i	$0.379468\pi$
$30$	−4.42385	−	4.46968i	−0.807681	−	0.816048i
$31$			1.77678i			0.319119i	0.987188	+	0.159559i	$0.0510074\pi$
$31$			1.77678i			0.319119i	−0.987188	+	0.159559i	$0.948993\pi$
$32$	−1.32286	−	5.50000i	−0.233850	−	0.972273i
$33$	−5.15832	−	8.93447i	−0.897948	−	1.55529i
$34$	−7.70634	−	7.78617i	−1.32163	−	1.33532i
$35$	3.13820	−	5.43553i	0.530453	−	0.918772i
$36$	5.62786	−	3.17237i	0.937977	−	0.528729i
$37$	−3.42531	+	5.02666i	−0.563117	+	0.826377i
$37$	−3.42531	+	5.02666i	−0.563117	+	0.826377i
$38$	1.68211	+	6.40966i	0.272875	+	1.03978i
$39$	0.188704	+	0.108948i	0.0302168	+	0.0174457i
$40$	1.37927	−	4.84655i	0.218081	−	0.766308i
$41$	4.07638	+	7.06049i	0.636623	+	1.10266i	0.986169	+	0.165745i	$0.0530027\pi$
$41$	4.07638	+	7.06049i	0.636623	+	1.10266i	−0.349545	+	0.936919i	$0.613664\pi$
$42$	8.74811	+	8.83873i	1.34986	+	1.36385i
$43$	−5.20812			−0.794230			−0.397115	−	0.917769i	$-0.629989\pi$
$43$	−5.20812			−0.794230			−0.397115	+	0.917769i	$0.629989\pi$
$44$	4.20676	−	7.11595i	0.634193	−	1.07277i
$45$	5.75478			0.857872
$46$	1.62999	−	5.96019i	0.240329	−	0.878782i
$47$	−4.78830			−0.698446			−0.349223	−	0.937040i	$-0.613554\pi$
$47$	−4.78830			−0.698446			−0.349223	+	0.937040i	$0.613554\pi$
$48$	8.54181	+	5.16921i	1.23290	+	0.746112i
$49$	−2.70576	+	4.68651i	−0.386537	+	0.669501i
$50$	−1.83545	+	1.81663i	−0.259572	+	0.256911i
$51$	19.3352			2.70747
$52$	−0.00179923	+	0.174585i	−0.000249509	+	0.0242105i
$53$	−8.84851	−	5.10869i	−1.21544	−	0.701733i	−0.251498	−	0.967858i	$-0.580923\pi$
$53$	−8.84851	−	5.10869i	−1.21544	−	0.701733i	−0.963938	+	0.266125i	$0.914257\pi$
$54$	−0.214357	+	0.783813i	−0.0291703	+	0.106663i
$55$	6.37700	−	3.68176i	0.859875	−	0.496449i
$56$	−2.72748	+	9.58399i	−0.364475	+	1.28071i
$57$	−10.1289	−	5.84795i	−1.34161	−	0.774580i
$58$	−5.43133	−	1.48536i	−0.713168	−	0.195037i
$59$	−1.80578	+	3.12770i	−0.235092	+	0.407192i	−0.959300	−	0.282391i	$-0.908873\pi$
$59$	−1.80578	+	3.12770i	−0.235092	+	0.407192i	0.724207	+	0.689582i	$0.242206\pi$
$60$	4.36722	+	7.74754i	0.563805	+	1.00020i
$61$	−0.507638	−	0.879255i	−0.0649964	−	0.112577i	0.831696	−	0.555231i	$-0.187370\pi$
$61$	−0.507638	−	0.879255i	−0.0649964	−	0.112577i	−0.896692	+	0.442654i	$0.854037\pi$
$62$	0.662844	−	2.42374i	0.0841812	−	0.307815i
$63$	−11.3800			−1.43374
$64$	−0.247291	+	7.99618i	−0.0309113	+	0.999522i
$65$	−0.0777621	+	0.134688i	−0.00964520	+	0.0167060i
$66$	3.70349	+	14.1121i	0.455868	+	1.73707i
$67$	−2.90651	+	1.67808i	−0.355087	+	0.205010i	−0.666923	−	0.745126i	$-0.732389\pi$
$67$	−2.90651	+	1.67808i	−0.355087	+	0.205010i	0.311837	+	0.950136i	$0.399056\pi$
$68$	7.60768	+	13.4962i	0.922567	+	1.63666i
$69$	5.45291	+	9.44471i	0.656453	+	1.13701i
$70$	−6.30867	+	6.24399i	−0.754030	+	0.746299i
$71$	7.96677	+	13.7988i	0.945481	+	1.63762i	0.754785	+	0.655972i	$0.227741\pi$
$71$	7.96677	+	13.7988i	0.945481	+	1.63762i	0.190696	+	0.981649i	$0.438926\pi$
$72$	−8.86057	+	2.22798i	−1.04423	+	0.262569i
$73$	−14.8336			−1.73614			−0.868068	−	0.496445i	$-0.834639\pi$
$73$	−14.8336			−1.73614			−0.868068	+	0.496445i	$0.834639\pi$
$74$	6.54778	−	5.57912i	0.761163	−	0.648560i
$75$		−	4.55793i		−	0.526304i
$76$	0.0965763	−	9.37108i	0.0110781	−	1.07494i
$77$	−12.6104	+	7.28064i	−1.43709	+	0.829706i
$78$	−0.216771	−	0.219016i	−0.0245445	−	0.0247987i
$79$	3.90643	−	2.25538i	0.439508	−	0.253750i	−0.263881	−	0.964555i	$-0.585003\pi$
$79$	3.90643	−	2.25538i	0.439508	−	0.253750i	0.703389	+	0.710805i	$0.251669\pi$
$80$	−3.68954	+	6.09674i	−0.412503	+	0.681636i
$81$	4.12820	+	7.15025i	0.458689	+	0.794473i
$82$	−2.92669	−	11.1521i	−0.323199	−	1.23154i
$83$	7.49112	+	4.32500i	0.822257	+	0.474731i	0.851194	−	0.524851i	$-0.175879\pi$
$83$	7.49112	+	4.32500i	0.822257	+	0.474731i	−0.0289369	+	0.999581i	$0.509212\pi$
$84$	−8.63611	−	15.3207i	−0.942277	−	1.67162i
$85$			13.8006i			1.49688i
$86$	7.10450	+	1.94294i	0.766098	+	0.209512i
$87$	8.60666	−	4.96906i	0.922731	−	0.532739i
$88$	−8.39320	+	8.13765i	−0.894719	+	0.867476i
$89$	−7.29943	−	4.21433i	−0.773739	−	0.446718i	0.0604681	−	0.998170i	$-0.480741\pi$
$89$	−7.29943	−	4.21433i	−0.773739	−	0.446718i	−0.834207	+	0.551452i	$0.814074\pi$
$90$	−7.85021	−	2.14687i	−0.827485	−	0.226300i
$91$	0.153773	−	0.266343i	0.0161198	−	0.0279204i
$92$	−4.44701	+	7.52234i	−0.463633	+	0.784258i
$93$	2.21745	+	3.84074i	0.229939	+	0.398266i
$94$	6.53182	+	1.78632i	0.673706	+	0.184245i
$95$	4.17399	−	7.22956i	0.428242	−	0.741738i
$96$	−9.72364	−	10.2380i	−0.992415	−	1.04491i
$97$			9.43247i			0.957722i	0.877891	+	0.478861i	$0.158950\pi$
$97$			9.43247i			0.957722i	−0.877891	+	0.478861i	$0.841050\pi$
$98$	5.43932	−	5.38356i	0.549455	−	0.543821i
$99$	−11.5624	−	6.67555i	−1.16206	−	0.670918i
$100$	3.18149	−	1.79338i	0.318149	−	0.179338i
$101$			0.346589i			0.0344869i	0.999851	+	0.0172435i	$0.00548904\pi$
$101$			0.346589i			0.0344869i	−0.999851	+	0.0172435i	$0.994511\pi$
$102$	−26.3756	−	7.21318i	−2.61157	−	0.714211i
$103$		−	1.49463i		−	0.147270i	−0.997285	−	0.0736352i	$-0.976540\pi$
$103$		−	1.49463i		−	0.147270i	0.997285	−	0.0736352i	$-0.0234600\pi$
$104$	0.0675848	−	0.237483i	0.00662723	−	0.0232872i
$105$		−	15.6662i		−	1.52886i
$106$	10.1646	+	10.2699i	0.987273	+	0.997500i
$107$	5.13282	−	2.96344i	0.496208	−	0.286486i	−0.230938	−	0.972968i	$-0.574179\pi$
$107$	5.13282	−	2.96344i	0.496208	−	0.286486i	0.727146	+	0.686482i	$0.240846\pi$
$108$	0.584817	−	0.989248i	0.0562741	−	0.0951904i
$109$	6.33750	−	10.9769i	0.607022	−	1.05139i	−0.384706	−	0.923039i	$-0.625697\pi$
$109$	6.33750	−	10.9769i	0.607022	−	1.05139i	0.991728	−	0.128354i	$-0.0409694\pi$
$110$	−10.0725	+	2.64337i	−0.960377	+	0.252036i
$111$	−1.13089	+	15.1406i	−0.107340	+	1.43708i
$112$	7.29602	−	12.0562i	0.689409	−	1.13921i
$113$	9.40525	+	5.43012i	0.884771	+	0.510823i	0.872229	−	0.489098i	$-0.162674\pi$
$113$	9.40525	+	5.43012i	0.884771	+	0.510823i	0.0125427	+	0.999921i	$0.496007\pi$
$114$	11.6355	+	11.7560i	1.08976	+	1.10105i
$115$	−6.74119	+	3.89203i	−0.628619	+	0.362934i
$116$	6.85486	+	4.05241i	0.636458	+	0.376257i
$117$	0.281987			0.0260697
$118$	3.63012	−	3.59290i	0.334179	−	0.330753i
$119$		−	27.2904i		−	2.50171i
$120$	−3.06712	−	12.1978i	−0.279988	−	1.11350i
$121$	−6.08340			−0.553036
$122$	0.364466	+	1.38879i	0.0329972	+	0.125735i
$123$	17.6233	+	10.1748i	1.58904	+	0.917430i
$124$	−1.80840	+	3.05900i	−0.162399	+	0.274706i
$125$	12.1610			1.08771
$126$	15.5237	+	4.24541i	1.38296	+	0.378211i
$127$	5.48594	−	9.50192i	0.486798	−	0.843159i	−0.513087	−	0.858337i	$-0.671498\pi$
$127$	5.48594	−	9.50192i	0.486798	−	0.843159i	0.999885	+	0.0151778i	$0.00483143\pi$
$128$	3.32038	−	10.8155i	0.293483	−	0.955964i
$129$	−11.2580	+	6.49983i	−0.991214	+	0.572278i
$130$	0.156324	−	0.154721i	0.0137105	−	0.0135699i
$131$	−8.39271	+	14.5366i	−0.733274	+	1.27007i	0.222202	+	0.975001i	$0.428676\pi$
$131$	−8.39271	+	14.5366i	−0.733274	+	1.27007i	−0.955476	+	0.295068i	$0.904658\pi$
$132$	0.212631	−	20.6322i	0.0185071	−	1.79580i
$133$	−8.25401	+	14.2964i	−0.715713	+	1.23965i
$134$	4.59086	−	1.20480i	0.396590	−	0.104079i
$135$	0.886521	−	0.511833i	0.0762996	−	0.0440516i
$136$	−5.34292	−	21.2486i	−0.458151	−	1.82205i
$137$	4.38663			0.374775			0.187388	−	0.982286i	$-0.439998\pi$
$137$	4.38663			0.374775			0.187388	+	0.982286i	$0.439998\pi$
$138$	−3.91499	−	14.9180i	−0.333266	−	1.26990i
$139$	−9.76556	−	5.63815i	−0.828304	−	0.478222i	0.0249674	−	0.999688i	$-0.492052\pi$
$139$	−9.76556	−	5.63815i	−0.828304	−	0.478222i	−0.853272	+	0.521467i	$0.825385\pi$
$140$	10.9352	−	6.16405i	0.924190	−	0.520957i
$141$	−10.3505	+	5.97589i	−0.871673	+	0.503261i
$142$	−5.71985	−	21.7954i	−0.479999	−	1.82903i
$143$	0.312476	−	0.180408i	0.0261306	−	0.0150865i
$144$	12.9181	+	0.266290i	1.07651	+	0.0221908i
$145$	3.54668	+	6.14303i	0.294536	+	0.510151i
$146$	20.2348	+	5.53380i	1.67464	+	0.457980i
$147$			13.5073i			1.11407i
$148$	−11.0133	+	5.16789i	−0.905288	+	0.424798i
$149$		−	15.3551i		−	1.25794i	−0.777432	−	0.628968i	$-0.783478\pi$
$149$		−	15.3551i		−	1.25794i	0.777432	−	0.628968i	$-0.216522\pi$
$150$	−1.70038	+	6.21757i	−0.138835	+	0.507662i
$151$	3.99423	+	6.91822i	0.325046	+	0.562996i	0.981522	−	0.191351i	$-0.0612868\pi$
$151$	3.99423	+	6.91822i	0.325046	+	0.562996i	−0.656476	+	0.754347i	$0.727954\pi$
$152$	−3.62771	+	12.7473i	−0.294246	+	1.03394i
$153$	21.6700	−	12.5112i	1.75191	−	1.01147i
$154$	19.9183	−	5.22723i	1.60506	−	0.421223i
$155$	−2.74134	+	1.58271i	−0.220190	+	0.127127i
$156$	0.213996	+	0.379633i	0.0171334	+	0.0303950i
$157$	−1.26284	−	0.729102i	−0.100786	−	0.0581887i	0.448760	−	0.893652i	$-0.351866\pi$
$157$	−1.26284	−	0.729102i	−0.100786	−	0.0581887i	−0.549546	+	0.835464i	$0.685199\pi$
$158$	−6.17024	+	1.61928i	−0.490878	+	0.128823i
$159$	−25.5030			−2.02252
$160$	7.30743	−	6.94027i	0.577703	−	0.548677i
$161$	13.3306	−	7.69643i	1.05060	−	0.606564i
$162$	−2.96390	−	11.2939i	−0.232866	−	0.887331i
$163$	0.315274	−	0.546071i	0.0246942	−	0.0427716i	−0.853414	−	0.521233i	$-0.825472\pi$
$163$	0.315274	−	0.546071i	0.0246942	−	0.0427716i	0.878108	+	0.478462i	$0.158805\pi$
$164$	−0.168032	+	16.3046i	−0.0131211	+	1.27318i
$165$	9.18982	−	15.9172i	0.715427	−	1.23916i
$166$	−8.60532	−	8.69446i	−0.667902	−	0.674821i
$167$	−17.6690	+	10.2012i	−1.36727	+	0.789393i	−0.990578	−	0.136947i	$-0.956271\pi$
$167$	−17.6690	+	10.2012i	−1.36727	+	0.789393i	−0.376690	+	0.926339i	$0.622938\pi$
$168$	6.06519	+	24.1210i	0.467939	+	1.86098i
$169$	6.49619	−	11.2517i	0.499707	−	0.865518i
$170$	5.14843	−	18.8256i	0.394866	−	1.44386i
$171$	−15.1360			−1.15748
$172$	−8.96657	−	5.30080i	−0.683695	−	0.404182i
$173$	−16.1422	−	9.31968i	−1.22727	−	0.708562i	−0.260809	−	0.965390i	$-0.583989\pi$
$173$	−16.1422	−	9.31968i	−1.22727	−	0.708562i	−0.966457	+	0.256828i	$0.917323\pi$
$174$	−13.5943	+	3.56760i	−1.03058	+	0.270459i
$175$	−6.43323			−0.486306
$176$	14.4852	−	7.96958i	1.09186	−	0.600729i
$177$			9.01458i			0.677577i
$178$	8.38512	+	8.47198i	0.628491	+	0.635002i
$179$	5.95491			0.445091			0.222545	−	0.974922i	$-0.428563\pi$
$179$	5.95491			0.445091			0.222545	+	0.974922i	$0.428563\pi$
$180$	9.90773	+	5.85719i	0.738479	+	0.436569i
$181$	17.4288	−	10.0625i	1.29548	−	0.747943i	0.315856	−	0.948807i	$-0.397708\pi$
$181$	17.4288	−	10.0625i	1.29548	−	0.747943i	0.979619	+	0.200864i	$0.0643750\pi$
$182$	−0.309128	+	0.305958i	−0.0229141	+	0.0226791i
$183$	−2.19465	−	1.26708i	−0.162233	−	0.0936656i
$184$	8.87254	−	8.60239i	0.654092	−	0.634176i
$185$	−10.8067	−	0.807179i	−0.794522	−	0.0593450i
$186$	−1.59205	−	6.06648i	−0.116735	−	0.444816i
$187$	16.0087	−	27.7278i	1.17067	−	2.02766i
$188$	−8.24380	−	4.87351i	−0.601241	−	0.355438i
$189$	−1.75308	+	1.01214i	−0.127518	+	0.0736226i
$190$	−8.39089	+	8.30486i	−0.608739	+	0.602498i
$191$			2.63141i			0.190402i	0.995458	+	0.0952010i	$0.0303494\pi$
$191$			2.63141i			0.190402i	−0.995458	+	0.0952010i	$0.969651\pi$
$192$	9.44483	+	17.5934i	0.681622	+	1.26970i
$193$			6.45381i			0.464556i	0.972649	+	0.232278i	$0.0746179\pi$
$193$			6.45381i			0.464556i	−0.972649	+	0.232278i	$0.925382\pi$
$194$	3.51887	−	12.8670i	0.252640	−	0.923799i
$195$			0.388194i			0.0277992i
$196$	−9.42828	+	5.31463i	−0.673449	+	0.379617i
$197$	−21.1982	−	12.2388i	−1.51031	−	0.871979i	−0.999928	−	0.0120325i	$-0.996170\pi$
$197$	−21.1982	−	12.2388i	−1.51031	−	0.871979i	−0.510384	−	0.859946i	$-0.670497\pi$
$198$	13.2821	+	13.4197i	0.943919	+	0.953697i
$199$			6.26164i			0.443876i	0.975061	+	0.221938i	$0.0712382\pi$
$199$			6.26164i			0.443876i	−0.975061	+	0.221938i	$0.928762\pi$
$200$	−5.00897	+	1.25950i	−0.354188	+	0.0890599i
$201$	−4.18854	+	7.25476i	−0.295437	+	0.511711i
$202$	0.129298	−	0.472790i	0.00909740	−	0.0332654i
$203$	−7.01351	−	12.1478i	−0.492252	−	0.852605i
$204$	33.2885	+	19.6793i	2.33066	+	1.37783i
$205$	−7.26229	+	12.5787i	−0.507220	+	0.878531i
$206$	−0.557586	+	2.03886i	−0.0388488	+	0.142054i
$207$	12.2227	+	7.05678i	0.849537	+	0.490480i
$208$	−0.180789	+	0.298743i	−0.0125355	+	0.0207141i
$209$	−16.7726	+	9.68366i	−1.16018	+	0.669833i
$210$	−5.84440	+	21.3705i	−0.403302	+	1.47471i
$211$			12.8294i			0.883210i	0.897210	+	0.441605i	$0.145591\pi$
$211$			12.8294i			0.883210i	−0.897210	+	0.441605i	$0.854409\pi$
$212$	−10.0345	−	17.8014i	−0.689170	−	1.22260i
$213$	34.4424	+	19.8853i	2.35996	+	1.36252i
$214$	−8.10733	+	2.12764i	−0.554205	+	0.145442i
$215$	−4.63927	−	8.03545i	−0.316396	−	0.548013i
$216$	−1.16681	+	1.13128i	−0.0793914	+	0.0769741i
$217$	5.42096	−	3.12979i	0.367999	−	0.212464i
$218$	−12.7401	+	12.6095i	−0.862871	+	0.854024i
$219$	−32.0647	+	18.5126i	−2.16673	+	1.25096i
$220$	14.7263	+	0.151766i	0.992845	+	0.0102321i
$221$			0.676234i			0.0454884i
$222$	7.19103	−	20.2318i	0.482630	−	1.35787i
$223$	−8.43355			−0.564753			−0.282376	−	0.959304i	$-0.591123\pi$
$223$	−8.43355			−0.564753			−0.282376	+	0.959304i	$0.591123\pi$
$224$	−14.4503	+	13.7243i	−0.965504	+	0.916993i
$225$	−2.94928	−	5.10830i	−0.196619	−	0.340554i
$226$	−10.8041	−	10.9161i	−0.718681	−	0.726126i
$227$	5.90252	+	10.2235i	0.391764	+	0.678555i	0.992682	−	0.120755i	$-0.0385316\pi$
$227$	5.90252	+	10.2235i	0.391764	+	0.678555i	−0.600918	+	0.799310i	$0.705198\pi$
$228$	−11.4865	−	20.3773i	−0.760713	−	1.34952i
$229$	5.42518	−	3.13223i	0.358506	−	0.206984i	−0.309919	−	0.950763i	$-0.600302\pi$
$229$	5.42518	−	3.13223i	0.358506	−	0.206984i	0.668425	+	0.743779i	$0.266969\pi$
$230$	10.6478	−	2.79434i	0.702093	−	0.184253i
$231$	−18.1727	+	31.4761i	−1.19568	+	2.07098i
$232$	−7.83908	−	8.08526i	−0.514661	−	0.530823i
$233$	8.15339			0.534147			0.267073	−	0.963676i	$-0.413943\pi$
$233$	8.15339			0.534147			0.267073	+	0.963676i	$0.413943\pi$
$234$	−0.384664	−	0.105198i	−0.0251463	−	0.00687699i
$235$	−4.26531	−	7.38773i	−0.278238	−	0.481922i
$236$	−6.29229	+	3.54690i	−0.409593	+	0.230884i
$237$	5.62951	−	9.75060i	0.365676	−	0.633370i
$238$	−10.1809	+	37.2274i	−0.659932	+	2.41310i
$239$	4.06018	+	2.34415i	0.262631	+	0.151630i	0.625534	−	0.780197i	$-0.284881\pi$
$239$	4.06018	+	2.34415i	0.262631	+	0.151630i	−0.362903	+	0.931827i	$0.618214\pi$
$240$	−0.366585	+	17.7835i	−0.0236630	+	1.14792i
$241$	6.90674	−	3.98761i	0.444902	−	0.256864i	−0.260773	−	0.965400i	$-0.583977\pi$
$241$	6.90674	−	3.98761i	0.444902	−	0.256864i	0.705675	+	0.708536i	$0.250644\pi$
$242$	8.29849	+	2.26947i	0.533447	+	0.145887i
$243$	19.3401	+	11.1660i	1.24067	+	0.716301i
$244$	0.0209253	−	2.03045i	0.00133961	−	0.129986i
$245$	−9.64090			−0.615934
$246$	−20.2445	−	20.4542i	−1.29074	−	1.30411i
$247$	0.204527	−	0.354252i	0.0130138	−	0.0225405i
$248$	3.60806	−	3.49820i	0.229112	−	0.222136i
$249$	21.5907			1.36826
$250$	−16.5891	−	4.53677i	−1.04919	−	0.286931i
$251$	−29.2064			−1.84349			−0.921745	−	0.387796i	$-0.873237\pi$
$251$	−29.2064			−1.84349			−0.921745	+	0.387796i	$0.873237\pi$
$252$	−19.5924	−	11.5825i	−1.23421	−	0.729630i
$253$	18.0590			1.13536
$254$	−11.0283	+	10.9152i	−0.691975	+	0.684880i
$255$	17.2234	+	29.8317i	1.07857	+	1.86813i
$256$	−8.56423	+	13.5150i	−0.535264	+	0.844685i
$257$	−4.50523	−	2.60110i	−0.281029	−	0.162252i	0.352860	−	0.935676i	$-0.385209\pi$
$257$	−4.50523	−	2.60110i	−0.281029	−	0.162252i	−0.633889	+	0.773424i	$0.718542\pi$
$258$	17.7821	−	4.66664i	1.10707	−	0.290532i
$259$	21.3700	+	1.59619i	1.32787	+	0.0991821i
$260$	−0.270964	+	0.152740i	−0.0168045	+	0.00947253i
$261$	6.43062	−	11.1382i	0.398045	−	0.689435i
$262$	16.8717	−	16.6987i	1.04234	−	1.03165i
$263$	−11.8342	−	20.4975i	−0.729730	−	1.26393i	−0.956997	−	0.290096i	$-0.906313\pi$
$263$	−11.8342	−	20.4975i	−0.729730	−	1.26393i	0.227268	−	0.973832i	$-0.427021\pi$
$264$	−7.98708	+	28.0655i	−0.491571	+	1.72731i
$265$		−	18.2028i		−	1.11819i
$266$	16.5929	−	16.4227i	1.01737	−	1.00694i
$267$	−21.0383			−1.28752
$268$	−6.71195	−	0.0691719i	−0.409997	−	0.00422535i
$269$		−	0.924335i		−	0.0563577i	−0.999603	−	0.0281789i	$-0.991029\pi$
$269$		−	0.924335i		−	0.0563577i	0.999603	−	0.0281789i	$-0.00897079\pi$
$270$	−1.40027	+	0.367478i	−0.0852175	+	0.0223640i
$271$	12.6708	−	21.9465i	0.769697	−	1.33316i	−0.168030	−	0.985782i	$-0.553740\pi$
$271$	12.6708	−	21.9465i	0.769697	−	1.33316i	0.937727	−	0.347373i	$-0.112926\pi$
$272$	−0.638591	+	30.9789i	−0.0387203	+	1.87837i
$273$		−	0.767649i		−	0.0464602i
$274$	−5.98390	−	1.63647i	−0.361501	−	0.0988630i
$275$	−6.53633	−	3.77375i	−0.394156	−	0.227566i
$276$	−0.224774	+	21.8105i	−0.0135298	+	1.31284i
$277$	6.88276	+	11.9213i	0.413545	+	0.716281i	0.995274	−	0.0971016i	$-0.0309572\pi$
$277$	6.88276	+	11.9213i	0.413545	+	0.716281i	−0.581730	+	0.813382i	$0.697624\pi$
$278$	11.2180	+	11.3343i	0.672814	+	0.679783i
$279$	4.97043	+	2.86968i	0.297572	+	0.171803i
$280$	−17.2164	+	4.32904i	−1.02888	+	0.258710i
$281$	−15.0819	−	8.70754i	−0.899710	−	0.519448i	−0.0226042	−	0.999744i	$-0.507196\pi$
$281$	−15.0819	−	8.70754i	−0.899710	−	0.519448i	−0.877106	+	0.480296i	$0.840529\pi$
$282$	16.3488	−	4.29047i	0.973554	−	0.255494i
$283$	6.29225	+	10.8985i	0.374036	+	0.647849i	0.990182	−	0.139783i	$-0.0446404\pi$
$283$	6.29225	+	10.8985i	0.374036	+	0.647849i	−0.616147	+	0.787632i	$0.711307\pi$
$284$	−0.328398	+	31.8654i	−0.0194868	+	1.89086i
$285$		−	20.8369i		−	1.23427i
$286$	−0.493558	+	0.129527i	−0.0291847	+	0.00765906i
$287$	14.3611	−	24.8741i	0.847707	−	1.46827i
$288$	−17.5225	−	5.18245i	−1.03252	−	0.305379i
$289$	21.5031	+	37.2444i	1.26489	+	2.19085i
$290$	−2.54639	−	9.70296i	−0.149529	−	0.569777i
$291$	11.7719	+	20.3895i	0.690081	+	1.19525i
$292$	−25.5383	−	15.0975i	−1.49451	−	0.883517i
$293$	28.4577	−	16.4300i	1.66251	−	0.959853i	0.691006	−	0.722849i	$-0.257168\pi$
$293$	28.4577	−	16.4300i	1.66251	−	0.959853i	0.971509	−	0.237004i	$-0.0761656\pi$
$294$	5.03904	−	18.4256i	0.293883	−	1.07461i
$295$	−6.43418			−0.374613
$296$	16.9514	−	2.94102i	0.985281	−	0.170943i
$297$	−2.37491			−0.137806
$298$	−5.72835	+	20.9462i	−0.331834	+	1.21338i
$299$	−0.330321	+	0.190711i	−0.0191030	+	0.0110291i
$300$	4.63904	−	7.84718i	0.267835	−	0.453057i
$301$	9.17409	+	15.8900i	0.528786	+	0.915884i
$302$	−2.86771	−	10.9274i	−0.165018	−	0.628799i
$303$	0.432550	+	0.749198i	0.0248493	+	0.0430403i
$304$	9.70412	−	16.0355i	0.556569	−	0.919696i
$305$	0.904385	−	1.56644i	0.0517849	−	0.0896941i
$306$	−34.2278	+	8.98255i	−1.95668	+	0.513498i
$307$			3.45170i			0.196999i	0.995137	+	0.0984996i	$0.0314043\pi$
$307$			3.45170i			0.196999i	−0.995137	+	0.0984996i	$0.968596\pi$
$308$	−29.1210	−	0.300115i	−1.65932	−	0.0171006i
$309$	−1.86533	−	3.23084i	−0.106115	−	0.183796i
$310$	4.32997	−	1.13633i	0.245926	−	0.0645392i
$311$	5.86851	+	3.38818i	0.332773	+	0.192126i	0.657071	−	0.753828i	$-0.271795\pi$
$311$	5.86851	+	3.38818i	0.332773	+	0.192126i	−0.324299	+	0.945955i	$0.605128\pi$
$312$	−0.150290	−	0.597699i	−0.00850851	−	0.0338380i
$313$	−6.98349	−	4.03192i	−0.394730	−	0.227898i	0.289477	−	0.957185i	$-0.406518\pi$
$313$	−6.98349	−	4.03192i	−0.394730	−	0.227898i	−0.684208	+	0.729287i	$0.739852\pi$
$314$	1.45067	+	1.46570i	0.0818661	+	0.0827141i
$315$	−10.1370	−	17.5579i	−0.571157	−	0.989273i
$316$	9.02104	+	0.0929690i	0.507473	+	0.00522991i
$317$	5.18482	+	2.99346i	0.291209	+	0.168129i	0.638487	−	0.769633i	$-0.279561\pi$
$317$	5.18482	+	2.99346i	0.291209	+	0.168129i	−0.347278	+	0.937762i	$0.612894\pi$
$318$	34.7891	+	9.51412i	1.95088	+	0.533525i
$319$		−	16.4566i		−	0.921393i
$320$	−12.5573	+	6.74127i	−0.701977	+	0.376849i
$321$	7.39684	−	12.8117i	0.412852	−	0.715080i
$322$	−21.0558	+	5.52576i	−1.17339	+	0.307939i
$323$		−	36.2978i		−	2.01966i
$324$	−0.170168	+	16.5119i	−0.00945380	+	0.917329i
$325$	0.159410			0.00884248
$326$	−0.633789	+	0.627291i	−0.0351023	+	0.0347424i
$327$		−	31.6373i		−	1.74954i
$328$	6.31182	−	22.1788i	0.348512	−	1.22462i
$329$	8.43459	+	14.6091i	0.465014	+	0.805428i
$330$	−18.4741	+	18.2847i	−1.01697	+	1.00654i
$331$	16.2890	−	28.2133i	0.895322	−	1.55074i	0.0619171	−	0.998081i	$-0.480279\pi$
$331$	16.2890	−	28.2133i	0.895322	−	1.55074i	0.833405	−	0.552662i	$-0.186388\pi$
$332$	8.49515	+	15.0706i	0.466232	+	0.827106i
$333$	8.52953	+	17.7006i	0.467416	+	0.969989i
$334$	27.9083	−	7.32409i	1.52708	−	0.400757i
$335$	−5.17811	−	2.98958i	−0.282910	−	0.163338i
$336$	0.724917	−	35.1667i	0.0395475	−	1.91850i
$337$	1.67917	+	2.90840i	0.0914701	+	0.158431i	0.908130	−	0.418688i	$-0.137510\pi$
$337$	1.67917	+	2.90840i	0.0914701	+	0.158431i	−0.816660	+	0.577119i	$0.804177\pi$
$338$	−13.0592	+	12.9253i	−0.710324	+	0.703042i
$339$	27.1076			1.47228
$340$	−14.0462	+	23.7598i	−0.761760	+	1.28855i
$341$	7.34379			0.397689
$342$	20.6474	+	5.64664i	1.11648	+	0.305335i
$343$	−5.59624			−0.302169
$344$	10.2540	+	10.5760i	0.552858	+	0.570220i
$345$	−9.71465	+	16.8263i	−0.523019	+	0.905896i
$346$	18.5431	+	18.7352i	0.996882	+	1.00721i
$347$	0.803040			0.0431094			0.0215547	−	0.999768i	$-0.493138\pi$
$347$	0.803040			0.0431094			0.0215547	+	0.999768i	$0.493138\pi$
$348$	19.8752	+	0.204829i	1.06542	+	0.0109800i
$349$	−25.3543	−	14.6383i	−1.35719	−	0.783572i	−0.367943	−	0.929848i	$-0.619938\pi$
$349$	−25.3543	−	14.6383i	−1.35719	−	0.783572i	−0.989244	+	0.146276i	$0.953271\pi$
$350$	8.77570	+	2.39997i	0.469081	+	0.128284i
$351$	0.0434399	−	0.0250801i	0.00231865	−	0.00133867i
$352$	−22.7327	+	5.46764i	−1.21165	+	0.291426i
$353$	−15.7659	−	9.10247i	−0.839137	−	0.484476i	0.0178340	−	0.999841i	$-0.494323\pi$
$353$	−15.7659	−	9.10247i	−0.839137	−	0.484476i	−0.856971	+	0.515365i	$0.827656\pi$
$354$	3.36297	−	12.2970i	0.178740	−	0.653577i
$355$	−14.1932	+	24.5834i	−0.753298	+	1.30475i
$356$	−8.27777	−	14.6850i	−0.438721	−	0.778301i
$357$	−34.0589	−	58.9918i	−1.80259	−	3.12218i
$358$	−8.12322	−	2.22153i	−0.429325	−	0.117412i
$359$	25.1427			1.32698			0.663491	−	0.748184i	$-0.269074\pi$
$359$	25.1427			1.32698			0.663491	+	0.748184i	$0.269074\pi$
$360$	−11.3303	−	11.6861i	−0.597158	−	0.615911i
$361$	−1.47830	+	2.56049i	−0.0778054	+	0.134763i
$362$	−27.5290	+	7.22454i	−1.44689	+	0.379713i
$363$	−13.1501	+	7.59219i	−0.690199	+	0.398487i
$364$	0.535828	−	0.302041i	0.0280850	−	0.0158313i
$365$	−13.2134	−	22.8863i	−0.691621	−	1.19792i
$366$	2.52108	+	2.54719i	0.131779	+	0.133144i
$367$	−7.64346	−	13.2389i	−0.398985	−	0.691063i	0.594616	−	0.804010i	$-0.297304\pi$
$367$	−7.64346	−	13.2389i	−0.398985	−	0.691063i	−0.993601	+	0.112947i	$0.963971\pi$
$368$	−15.3124	+	8.42471i	−0.798215	+	0.439169i
$369$	26.3351			1.37095
$370$	14.4405	+	5.13262i	0.750725	+	0.266832i
$371$			35.9958i			1.86881i
$372$	−0.0914055	+	8.86934i	−0.00473916	+	0.459854i
$373$	−26.2790	+	15.1722i	−1.36067	+	0.785586i	−0.989714	−	0.143063i	$-0.954305\pi$
$373$	−26.2790	+	15.1722i	−1.36067	+	0.785586i	−0.370961	+	0.928649i	$0.620971\pi$
$374$	−32.1819	+	31.8519i	−1.66408	+	1.64702i
$375$	26.2876	−	15.1772i	1.35749	−	0.783745i
$376$	9.42743	+	9.72349i	0.486182	+	0.501451i
$377$	0.173789	+	0.301011i	0.00895059	+	0.0155029i
$378$	2.76901	−	0.726682i	0.142422	−	0.0373765i
$379$	−6.46320	−	3.73153i	−0.331992	−	0.191676i	0.324733	−	0.945806i	$-0.394726\pi$
$379$	−6.46320	−	3.73153i	−0.331992	−	0.191676i	−0.656725	+	0.754130i	$0.728059\pi$
$380$	14.5444	−	8.19853i	0.746111	−	0.420576i
$381$		−	27.3862i		−	1.40304i
$382$	0.981671	−	3.58956i	0.0502267	−	0.183658i
$383$	13.7878	−	7.96037i	0.704522	−	0.406756i	−0.104507	−	0.994524i	$-0.533327\pi$
$383$	13.7878	−	7.96037i	0.704522	−	0.406756i	0.809029	+	0.587768i	$0.199993\pi$
$384$	−6.32050	−	27.5230i	−0.322542	−	1.40453i
$385$	−22.4662	−	12.9708i	−1.14498	−	0.661056i
$386$	2.40766	−	8.80379i	0.122546	−	0.448101i
$387$	−8.41163	+	14.5694i	−0.427587	+	0.740603i
$388$	−9.60033	+	16.2394i	−0.487383	+	0.824433i
$389$	0.882710	+	1.52890i	0.0447552	+	0.0775182i	0.887535	−	0.460740i	$-0.152416\pi$
$389$	0.882710	+	1.52890i	0.0447552	+	0.0775182i	−0.842780	+	0.538258i	$0.819083\pi$
$390$	0.144819	−	0.529544i	0.00733322	−	0.0268145i
$391$	−16.9229	+	29.3113i	−0.855828	+	1.48234i
$392$	14.8440	−	3.73250i	0.749735	−	0.188520i
$393$			41.8970i			2.11343i
$394$	24.3512	+	24.6034i	1.22679	+	1.23950i
$395$	6.95952	+	4.01808i	0.350171	+	0.202172i
$396$	−13.1121	−	23.2611i	−0.658907	−	1.16892i
$397$			18.2297i			0.914923i	0.889229	+	0.457462i	$0.151241\pi$
$397$			18.2297i			0.914923i	−0.889229	+	0.457462i	$0.848759\pi$
$398$	2.33596	−	8.54163i	0.117091	−	0.428153i
$399$			41.2046i			2.06281i
$400$	7.30271	+	0.150536i	0.365136	+	0.00752682i
$401$		−	11.5455i		−	0.576555i	−0.957547	−	0.288278i	$-0.906917\pi$
$401$		−	11.5455i		−	0.576555i	0.957547	−	0.288278i	$-0.0930826\pi$
$402$	8.42013	−	8.33380i	0.419958	−	0.415652i
$403$	−0.134327	+	0.0775537i	−0.00669130	+	0.00386322i
$404$	−0.352757	+	0.596707i	−0.0175503	+	0.0296873i
$405$	−7.35461	+	12.7386i	−0.365454	+	0.632984i
$406$	5.03545	+	19.1875i	0.249905	+	0.952258i
$407$	20.7762	+	14.1575i	1.02984	+	0.701762i
$408$	−38.0680	−	39.2635i	−1.88465	−	1.94383i
$409$	−16.2567	−	9.38584i	−0.803844	−	0.464100i	0.0409693	−	0.999160i	$-0.486955\pi$
$409$	−16.2567	−	9.38584i	−0.803844	−	0.464100i	−0.844814	+	0.535061i	$0.820289\pi$
$410$	14.5992	−	14.4495i	0.721004	−	0.713612i
$411$	9.48228	−	5.47460i	0.467727	−	0.270042i
$412$	1.52123	−	2.57324i	0.0749456	−	0.126774i
$413$	12.7235			0.626083
$414$	−14.0407	−	14.1861i	−0.690061	−	0.697209i
$415$			15.4104i			0.756469i
$416$	0.358067	−	0.340077i	0.0175557	−	0.0166736i
$417$	−28.1461			−1.37832
$418$	26.4924	−	6.95252i	1.29579	−	0.340059i
$419$	−12.8243	−	7.40413i	−0.626509	−	0.361715i	0.152890	−	0.988243i	$-0.451142\pi$
$419$	−12.8243	−	7.40413i	−0.626509	−	0.361715i	−0.779399	+	0.626528i	$0.784475\pi$
$420$	15.9449	−	26.9717i	0.778034	−	1.31608i
$421$	5.67693			0.276676			0.138338	−	0.990385i	$-0.455824\pi$
$421$	5.67693			0.276676			0.138338	+	0.990385i	$0.455824\pi$
$422$	4.78611	−	17.5008i	0.232984	−	0.851926i
$423$	−7.73359	+	13.3950i	−0.376020	+	0.651286i
$424$	7.04726	+	28.0267i	0.342245	+	1.36110i
$425$	12.2502	−	7.07268i	0.594224	−	0.343076i
$426$	−39.5652	−	39.9751i	−1.91694	−	1.93680i
$427$	−1.78841	+	3.09761i	−0.0865472	+	0.149904i
$428$	11.8531	+	0.122156i	0.572942	+	0.00590462i
$429$	0.450305	−	0.779952i	0.0217410	−	0.0376564i
$430$	3.33083	+	12.6921i	0.160627	+	0.612065i
$431$	−25.4858	+	14.7142i	−1.22761	+	0.708759i	−0.966528	−	0.256559i	$-0.917411\pi$
$431$	−25.4858	+	14.7142i	−1.22761	+	0.708759i	−0.261077	+	0.965318i	$0.584078\pi$
$432$	2.01371	−	1.10792i	0.0968845	−	0.0533047i
$433$	−12.2227			−0.587385			−0.293692	−	0.955900i	$-0.594884\pi$
$433$	−12.2227			−0.587385			−0.293692	+	0.955900i	$0.594884\pi$
$434$	−8.56245	+	2.24708i	−0.411011	+	0.107863i
$435$	15.3332	+	8.85265i	0.735172	+	0.424452i
$436$	22.0832	−	12.4481i	1.05759	−	0.596155i
$437$	17.7305	−	10.2367i	0.848164	−	0.489687i
$438$	50.6464	−	13.2913i	2.41998	−	0.635085i
$439$	6.92570	−	3.99855i	0.330546	−	0.190841i	−0.325538	−	0.945529i	$-0.605545\pi$
$439$	6.92570	−	3.99855i	0.330546	−	0.190841i	0.656083	+	0.754688i	$0.272212\pi$
$440$	−20.0318	−	5.70080i	−0.954979	−	0.271775i
$441$	8.74014	+	15.1384i	0.416197	+	0.720874i
$442$	0.252275	−	0.922465i	0.0119995	−	0.0438772i
$443$		−	20.5052i		−	0.974232i	−0.873337	−	0.487116i	$-0.838049\pi$
$443$		−	20.5052i		−	0.974232i	0.873337	−	0.487116i	$-0.161951\pi$
$444$	−17.3571	+	24.9159i	−0.823730	+	1.18246i
$445$		−	15.0161i		−	0.711832i
$446$	11.5044	+	3.14622i	0.544749	+	0.148978i
$447$	−19.1634	−	33.1920i	−0.906397	−	1.56993i
$448$	24.8320	−	13.3308i	1.17320	−	0.629820i
$449$	9.98129	−	5.76270i	0.471046	−	0.271959i	−0.245631	−	0.969363i	$-0.578995\pi$
$449$	9.98129	−	5.76270i	0.471046	−	0.271959i	0.716678	+	0.697405i	$0.245662\pi$
$450$	2.11748	+	8.06860i	0.0998188	+	0.380358i
$451$	29.1825	−	16.8485i	1.37415	−	0.793366i
$452$	10.6658	+	18.9214i	0.501678	+	0.889989i
$453$	17.2681	+	9.96975i	0.811327	+	0.468420i
$454$	−4.23780	−	16.1480i	−0.198890	−	0.757865i
$455$	0.547911			0.0256865
$456$	8.06704	+	32.0823i	0.377774	+	1.50239i
$457$	−26.1478	+	15.0965i	−1.22314	+	0.706183i	−0.965587	−	0.260080i	$-0.916251\pi$
$457$	−26.1478	+	15.0965i	−1.22314	+	0.706183i	−0.257557	+	0.966263i	$0.582918\pi$
$458$	−8.56911	+	2.24883i	−0.400408	+	0.105081i
$459$	2.22550	−	3.85468i	0.103877	−	0.179921i
$460$	−15.5673	−	0.160433i	−0.725829	−	0.00748024i
$461$	−5.91311	+	10.2418i	−0.275401	+	0.477008i	−0.970236	−	0.242161i	$-0.922144\pi$
$461$	−5.91311	+	10.2418i	−0.275401	+	0.477008i	0.694835	+	0.719169i	$0.255477\pi$
$462$	36.5323	−	36.1577i	1.69964	−	1.68221i
$463$	22.2850	−	12.8663i	1.03567	−	0.597946i	0.117069	−	0.993124i	$-0.462650\pi$
$463$	22.2850	−	12.8663i	1.03567	−	0.597946i	0.918605	+	0.395177i	$0.129317\pi$
$464$	7.67717	+	13.9537i	0.356404	+	0.647785i
$465$	−3.95051	+	6.84249i	−0.183201	+	0.317313i
$466$	−11.1222	−	3.04170i	−0.515227	−	0.140904i
$467$	−27.7201			−1.28273			−0.641367	−	0.767234i	$-0.721632\pi$
$467$	−27.7201			−1.28273			−0.641367	+	0.767234i	$0.721632\pi$
$468$	0.485483	+	0.287005i	0.0224415	+	0.0132668i
$469$	10.2396	+	5.91186i	0.472822	+	0.272984i
$470$	3.06234	+	11.6690i	0.141255	+	0.538250i
$471$	−3.63973			−0.167710
$472$	9.90665	−	2.49101i	0.455990	−	0.114658i
$473$			21.5262i			0.989777i
$474$	−11.3169	+	11.2009i	−0.519802	+	0.514473i
$475$	−8.55656			−0.392602
$476$	27.7761	−	46.9846i	1.27311	−	2.15354i
$477$	−28.5825	+	16.5021i	−1.30870	+	0.755579i
$478$	−4.66408	−	4.71239i	−0.213330	−	0.215540i
$479$	11.9902	+	6.92257i	0.547848	+	0.316300i	0.748254	−	0.663413i	$-0.230893\pi$
$479$	11.9902	+	6.92257i	0.547848	+	0.316300i	−0.200406	+	0.979713i	$0.564226\pi$
$480$	7.13437	−	24.1221i	0.325638	−	1.10102i
$481$	−0.529532	−	0.0395521i	−0.0241446	−	0.00180342i
$482$	−10.9092	+	2.86296i	−0.496902	+	0.130404i
$483$	19.2106	−	33.2737i	0.874112	−	1.51401i
$484$	−10.4735	−	6.19166i	−0.476068	−	0.281439i
$485$	−14.5531	+	8.40222i	−0.660821	+	0.381525i
$486$	−22.2167	−	22.4468i	−1.00777	−	1.01821i
$487$			1.30951i			0.0593398i	0.999560	+	0.0296699i	$0.00944560\pi$
$487$			1.30951i			0.0593398i	−0.999560	+	0.0296699i	$0.990554\pi$
$488$	−0.786021	+	2.76197i	−0.0355815	+	0.125028i
$489$		−	1.57387i		−	0.0711730i
$490$	13.1514	+	3.59663i	0.594118	+	0.162479i
$491$			38.6573i			1.74458i	0.488990	+	0.872290i	$0.337366\pi$
$491$			38.6573i			1.74458i	−0.488990	+	0.872290i	$0.662634\pi$
$492$	19.9853	+	35.4544i	0.901006	+	1.59841i
$493$	26.7105	+	15.4213i	1.20298	+	0.694540i
$494$	−0.411157	+	0.406942i	−0.0184988	+	0.0183092i
$495$		−	23.7857i		−	1.06909i
$496$	−6.22687	+	3.42595i	−0.279595	+	0.153830i
$497$	28.0669	−	48.6133i	1.25897	−	2.18060i
$498$	−29.4524	−	8.05462i	−1.31979	−	0.360936i
$499$	−17.8061	−	30.8411i	−0.797111	−	1.38064i	−0.921490	−	0.388402i	$-0.873027\pi$
$499$	−17.8061	−	30.8411i	−0.797111	−	1.38064i	0.124379	−	0.992235i	$-0.460306\pi$
$500$	20.9370	+	12.3774i	0.936333	+	0.553535i
$501$	−25.4626	+	44.1025i	−1.13758	+	1.97035i
$502$	39.8411	+	10.8957i	1.77819	+	0.486299i
$503$	−5.95414	−	3.43763i	−0.265482	−	0.153276i	0.361351	−	0.932430i	$-0.382316\pi$
$503$	−5.95414	−	3.43763i	−0.265482	−	0.153276i	−0.626833	+	0.779154i	$0.715649\pi$
$504$	22.4055	+	23.1091i	0.998018	+	1.02936i
$505$	−0.534742	+	0.308734i	−0.0237957	+	0.0137385i
$506$	−24.6347	−	6.73709i	−1.09515	−	0.299500i
$507$		−	32.4295i		−	1.44024i
$508$	19.1159	−	10.7754i	0.848131	−	0.478083i
$509$	8.34851	+	4.82001i	0.370041	+	0.213643i	0.673476	−	0.739209i	$-0.264800\pi$
$509$	8.34851	+	4.82001i	0.370041	+	0.213643i	−0.303435	+	0.952852i	$0.598134\pi$
$510$	−12.3657	−	47.1194i	−0.547564	−	2.08648i
$511$	26.1293	+	45.2573i	1.15589	+	2.00206i
$512$	16.7245	−	15.2411i	0.739126	−	0.673567i
$513$	−2.33170	+	1.34621i	−0.102947	+	0.0594365i
$514$	5.17532	+	5.22893i	0.228274	+	0.230638i
$515$	2.30602	−	1.33138i	0.101615	−	0.0586677i
$516$	−25.9979	−	0.267929i	−1.14449	−	0.0117949i
$517$			19.7910i			0.870409i
$518$	−28.5558	−	10.1497i	−1.25467	−	0.445951i
$519$	−46.5245			−2.04220
$520$	0.426609	−	0.107270i	0.0187080	−	0.00470411i
$521$	−4.26089	−	7.38007i	−0.186673	−	0.323327i	0.757466	−	0.652874i	$-0.226437\pi$
$521$	−4.26089	−	7.38007i	−0.186673	−	0.323327i	−0.944139	+	0.329548i	$0.893104\pi$
$522$	−12.9273	+	12.7948i	−0.565814	+	0.560013i
$523$	−9.42406	−	16.3229i	−0.412085	−	0.713753i	0.583032	−	0.812449i	$-0.301866\pi$
$523$	−9.42406	−	16.3229i	−0.412085	−	0.713753i	−0.995118	+	0.0986964i	$0.968533\pi$
$524$	−29.2446	+	16.4849i	−1.27756	+	0.720147i
$525$	−13.9063	+	8.02879i	−0.606919	+	0.350405i
$526$	8.49654	+	32.3759i	0.370467	+	1.41166i
$527$	−6.88178	+	11.9196i	−0.299775	+	0.519226i
$528$	21.3654	−	35.3051i	0.929811	−	1.53646i
$529$	3.90963			0.169984
$530$	−6.79073	+	24.8308i	−0.294970	+	1.07858i
$531$	5.83303	+	10.1031i	0.253132	+	0.438437i
$532$	−28.7613	+	16.2125i	−1.24696	+	0.702900i
$533$	−0.355855	+	0.616360i	−0.0154138	+	0.0266975i
$534$	28.6987	+	7.84851i	1.24192	+	0.339638i
$535$	9.14439	+	5.27952i	0.395347	+	0.228254i
$536$	9.13010	+	2.59831i	0.394360	+	0.112230i
$537$	12.8723	−	7.43184i	0.555481	−	0.320707i
$538$	−0.344832	+	1.26091i	−0.0148668	+	0.0543615i
$539$	19.3703	+	11.1834i	0.834338	+	0.481705i
$540$	2.04722	+	0.0210983i	0.0880985	+	0.000907924i
$541$	8.96967			0.385636			0.192818	−	0.981234i	$-0.438237\pi$
$541$	8.96967			0.385636			0.192818	+	0.981234i	$0.438237\pi$
$542$	−25.4719	+	25.2107i	−1.09411	+	1.08289i
$543$	25.1165	−	43.5030i	1.07785	−	1.86689i
$544$	12.4281	−	42.0207i	0.532849	−	1.80162i
$545$	22.5812			0.967272
$546$	−0.286378	+	1.04717i	−0.0122559	+	0.0448146i
$547$	−25.6286			−1.09580			−0.547900	−	0.836544i	$-0.684573\pi$
$547$	−25.6286			−1.09580			−0.547900	+	0.836544i	$0.684573\pi$
$548$	7.55226	+	4.46470i	0.322617	+	0.190722i
$549$	−3.27955			−0.139968
$550$	7.50852	+	7.58630i	0.320164	+	0.323481i
$551$	−9.32837	−	16.1572i	−0.397402	−	0.688320i
$552$	8.44322	−	29.6683i	0.359367	−	1.26277i
$553$	−13.7624	−	7.94570i	−0.585235	−	0.337886i
$554$	−4.94157	−	18.8298i	−0.209947	−	0.800000i
$555$	−24.3674	+	11.7421i	−1.03434	+	0.498424i
$556$	−11.0744	−	19.6463i	−0.469660	−	0.833189i
$557$	−20.4554	+	35.4298i	−0.866723	+	1.50121i	−0.00139745	+	0.999999i	$0.500445\pi$
$557$	−20.4554	+	35.4298i	−0.866723	+	1.50121i	−0.865326	+	0.501210i	$0.832889\pi$
$558$	−5.70970	−	5.76885i	−0.241711	−	0.244215i
$559$	−0.227326	−	0.393741i	−0.00961488	−	0.0166535i
$560$	25.1003	+	0.517412i	1.06068	+	0.0218646i
$561$		−	79.9164i		−	3.37407i
$562$	17.3251	+	17.5046i	0.730816	+	0.738386i
$563$	28.6566			1.20773			0.603867	−	0.797085i	$-0.293626\pi$
$563$	28.6566			1.20773			0.603867	+	0.797085i	$0.293626\pi$
$564$	−23.9023	−	0.246332i	−1.00647	−	0.0103724i
$565$			19.3481i			0.813981i
$566$	−4.51761	−	17.2143i	−0.189889	−	0.723569i
$567$	14.5436	−	25.1903i	0.610776	−	1.05789i
$568$	12.3356	−	43.3457i	0.517592	−	1.81875i
$569$			2.98363i			0.125080i	0.998042	+	0.0625402i	$0.0199202\pi$
$569$			2.98363i			0.125080i	−0.998042	+	0.0625402i	$0.980080\pi$
$570$	−7.77339	+	28.4240i	−0.325591	+	1.19055i
$571$	−24.2093	−	13.9772i	−1.01313	−	0.584929i	−0.101021	−	0.994884i	$-0.532211\pi$
$571$	−24.2093	−	13.9772i	−1.01313	−	0.584929i	−0.912106	+	0.409955i	$0.865544\pi$
$572$	0.721594	+	0.00743660i	0.0301714	+	0.000310940i
$573$	3.28405	+	5.68813i	0.137193	+	0.237625i
$574$	−28.8698	+	28.5738i	−1.20500	+	1.19265i
$575$	6.90962	+	3.98927i	0.288151	+	0.166364i
$576$	21.9694	+	13.6064i	0.915392	+	0.566934i
$577$	32.1667	+	18.5714i	1.33912	+	0.773139i	0.986676	−	0.162695i	$-0.0520187\pi$
$577$	32.1667	+	18.5714i	1.33912	+	0.773139i	0.352440	+	0.935834i	$0.385352\pi$
$578$	−15.4384	−	58.8278i	−0.642153	−	2.44691i
$579$	8.05448	+	13.9508i	0.334733	+	0.579774i
$580$	−0.146198	+	14.1860i	−0.00607052	+	0.589040i
$581$		−	30.4739i		−	1.26427i
$582$	−8.45179	−	32.2054i	−0.350338	−	1.33496i
$583$	−21.1153	+	36.5727i	−0.874505	+	1.51469i
$584$	29.2050	+	30.1222i	1.20851	+	1.24646i
$585$	0.251187	+	0.435069i	0.0103853	+	0.0179879i
$586$	−44.9491	+	11.7962i	−1.85683	+	0.487295i
$587$	16.4048	+	28.4140i	0.677100	+	1.17277i	0.975850	+	0.218440i	$0.0700969\pi$
$587$	16.4048	+	28.4140i	0.677100	+	1.17277i	−0.298750	+	0.954331i	$0.596570\pi$
$588$	−13.7477	+	23.2550i	−0.566946	+	0.959018i
$589$	7.21019	−	4.16280i	0.297091	−	0.171525i
$590$	8.77701	+	2.40033i	0.361344	+	0.0988201i
$591$	−61.0970			−2.51320
$592$	−24.2210	−	2.31197i	−0.995475	−	0.0950215i
$593$	−18.4707			−0.758502			−0.379251	−	0.925294i	$-0.623818\pi$
$593$	−18.4707			−0.758502			−0.379251	+	0.925294i	$0.623818\pi$
$594$	3.23966	+	0.885981i	0.132925	+	0.0363522i
$595$	42.1056	−	24.3097i	1.72616	−	0.996599i
$596$	15.6283	−	26.4361i	0.640161	−	1.08286i
$597$	7.81464	+	13.5354i	0.319832	+	0.553965i
$598$	0.521745	−	0.136924i	0.0213357	−	0.00559923i
$599$	−8.58765	−	14.8743i	−0.350882	−	0.607746i	0.635522	−	0.772083i	$-0.280785\pi$
$599$	−8.58765	−	14.8743i	−0.350882	−	0.607746i	−0.986404	+	0.164337i	$0.947452\pi$
$600$	−9.25568	+	8.97386i	−0.377861	+	0.366356i
$601$	6.94512	−	12.0293i	0.283297	−	0.490685i	−0.688898	−	0.724859i	$-0.741905\pi$
$601$	6.94512	−	12.0293i	0.283297	−	0.490685i	0.972195	+	0.234173i	$0.0752384\pi$
$602$	−6.58667	−	25.0984i	−0.268452	−	1.02293i
$603$			10.8410i			0.441481i
$604$	−0.164646	+	15.9761i	−0.00669936	+	0.650058i
$605$	−5.41895	−	9.38590i	−0.220312	−	0.381591i
$606$	−0.310555	−	1.18336i	−0.0126154	−	0.0480709i
$607$	−20.3273	−	11.7360i	−0.825061	−	0.476349i	0.0270977	−	0.999633i	$-0.491373\pi$
$607$	−20.3273	−	11.7360i	−0.825061	−	0.476349i	−0.852159	+	0.523284i	$0.824707\pi$
$608$	−19.2198	+	18.2541i	−0.779464	+	0.740301i
$609$	−30.3213	−	17.5060i	−1.22868	−	0.709378i
$610$	−1.81807	+	1.79943i	−0.0736113	+	0.0728566i
$611$	−0.209002	−	0.362002i	−0.00845532	−	0.0146450i
$612$	50.0420	+	0.515722i	2.02283	+	0.0208468i
$613$	25.6964	+	14.8359i	1.03787	+	0.599214i	0.919229	−	0.393723i	$-0.128813\pi$
$613$	25.6964	+	14.8359i	1.03787	+	0.599214i	0.118641	+	0.992937i	$0.462146\pi$
$614$	1.28769	−	4.70854i	0.0519670	−	0.190021i
$615$			36.2539i			1.46190i
$616$	39.6126	+	11.2733i	1.59604	+	0.454212i
$617$	3.78696	−	6.55921i	0.152457	−	0.264064i	−0.779673	−	0.626187i	$-0.784615\pi$
$617$	3.78696	−	6.55921i	0.152457	−	0.264064i	0.932130	+	0.362123i	$0.117948\pi$
$618$	1.33924	+	5.10314i	0.0538720	+	0.205278i
$619$			8.67027i			0.348487i	0.984703	+	0.174244i	$0.0557481\pi$
$619$			8.67027i			0.348487i	−0.984703	+	0.174244i	$0.944252\pi$
$620$	−6.33052	−	0.0652410i	−0.254240	−	0.00262014i
$621$	2.51054			0.100744
$622$	−6.74136	−	6.81119i	−0.270304	−	0.273104i
$623$			29.6942i			1.18967i
$624$	−0.0179628	+	0.871401i	−0.000719089	+	0.0348839i
$625$	6.26758	+	10.8558i	0.250703	+	0.434230i
$626$	8.02218	+	8.10528i	0.320631	+	0.323952i
$627$	−24.1708	+	41.8650i	−0.965288	+	1.67193i
$628$	−1.43210	−	2.54058i	−0.0571470	−	0.101380i
$629$	−42.4480	+	20.4547i	−1.69251	+	0.815583i
$630$	7.27802	+	27.7328i	0.289963	+	1.10490i
$631$	−13.7075	−	7.91403i	−0.545687	−	0.315052i	0.201694	−	0.979449i	$-0.435355\pi$
$631$	−13.7075	−	7.91403i	−0.545687	−	0.315052i	−0.747381	+	0.664396i	$0.768689\pi$
$632$	−12.2711	−	3.49220i	−0.488119	−	0.138912i
$633$	16.0113	+	27.7324i	0.636392	+	1.10226i
$634$	−5.95599	−	6.01769i	−0.236543	−	0.238993i
$635$	19.5470			0.775698
$636$	−43.9073	−	25.9568i	−1.74104	−	1.02925i
$637$	−0.472408			−0.0187175
$638$	−6.13929	+	22.4488i	−0.243057	+	0.888757i
$639$	51.4685			2.03606
$640$	19.6446	−	4.51128i	0.776523	−	0.178324i
$641$	7.17964	−	12.4355i	0.283579	−	0.491172i	−0.688685	−	0.725061i	$-0.741812\pi$
$641$	7.17964	−	12.4355i	0.283579	−	0.491172i	0.972263	+	0.233888i	$0.0751450\pi$
$642$	−14.8697	+	14.7173i	−0.586861	+	0.580844i
$643$	23.8158			0.939203			0.469602	−	0.882878i	$-0.344398\pi$
$643$	23.8158			0.939203			0.469602	+	0.882878i	$0.344398\pi$
$644$	30.7841	+	0.317254i	1.21306	+	0.0125016i
$645$	−20.0568	−	11.5798i	−0.789735	−	0.455954i
$646$	−13.5412	+	49.5146i	−0.532773	+	1.94813i
$647$	−41.9603	+	24.2258i	−1.64963	+	0.952415i	−0.672414	+	0.740175i	$0.734742\pi$
$647$	−41.9603	+	24.2258i	−1.64963	+	0.952415i	−0.977218	+	0.212240i	$0.931924\pi$
$648$	6.39206	−	22.4608i	0.251104	−	0.882343i
$649$	12.9274	+	7.46366i	0.507446	+	0.292974i
$650$	−0.217455	−	0.0594694i	−0.00852927	−	0.00233258i
$651$	7.81208	−	13.5309i	0.306180	−	0.530319i
$652$	1.09858	−	0.619260i	0.0430238	−	0.0242521i
$653$	−3.61083	−	6.25415i	−0.141303	−	0.244744i	0.786685	−	0.617355i	$-0.211796\pi$
$653$	−3.61083	−	6.25415i	−0.141303	−	0.244744i	−0.927988	+	0.372611i	$0.878462\pi$
$654$	−11.8026	+	43.1571i	−0.461517	+	1.68757i
$655$	−29.9041			−1.16845
$656$	−16.8841	+	27.8999i	−0.659213	+	1.08931i
$657$	−23.9577	+	41.4959i	−0.934679	+	1.61891i
$658$	−6.05573	−	23.0752i	−0.236077	−	0.899566i
$659$	15.8560	−	9.15444i	0.617660	−	0.356606i	−0.158297	−	0.987392i	$-0.550600\pi$
$659$	15.8560	−	9.15444i	0.617660	−	0.356606i	0.775958	+	0.630785i	$0.217267\pi$
$660$	32.0222	−	18.0506i	1.24646	−	0.702619i
$661$	3.03719	+	5.26057i	0.118133	+	0.204613i	0.919028	−	0.394193i	$-0.128976\pi$
$661$	3.03719	+	5.26057i	0.118133	+	0.204613i	−0.800895	+	0.598805i	$0.795642\pi$
$662$	−32.7454	+	32.4096i	−1.27268	+	1.25964i
$663$	0.843952	+	1.46177i	0.0327764	+	0.0567704i
$664$	−5.96619	−	23.7273i	−0.231533	−	0.920798i
$665$	−29.4099			−1.14047
$666$	−5.03193	−	27.3278i	−0.194983	−	1.05893i
$667$			17.3964i			0.673593i
$668$	−40.8026	−	0.420503i	−1.57870	−	0.0162698i
$669$	−18.2302	+	10.5252i	−0.704822	+	0.406929i
$670$	5.94828	+	6.00989i	0.229802	+	0.232182i
$671$	−3.63414	+	2.09817i	−0.140295	+	0.0809991i
$672$	−14.1081	+	47.7012i	−0.544233	+	1.84011i
$673$	−24.9903	−	43.2845i	−0.963305	−	1.66849i	−0.714101	−	0.700043i	$-0.753164\pi$
$673$	−24.9903	−	43.2845i	−0.963305	−	1.66849i	−0.249205	−	0.968451i	$-0.580169\pi$
$674$	−1.20558	−	4.59385i	−0.0464373	−	0.176948i
$675$	−0.908671	−	0.524621i	−0.0349748	−	0.0201927i
$676$	22.6362	−	12.7598i	0.870621	−	0.490761i
$677$		−	39.6165i		−	1.52259i	−0.648409	−	0.761293i	$-0.724565\pi$
$677$		−	39.6165i		−	1.52259i	0.648409	−	0.761293i	$-0.275435\pi$
$678$	−36.9780	−	10.1127i	−1.42013	−	0.388377i
$679$	28.7785	−	16.6153i	1.10442	−	0.637636i
$680$	28.0245	−	27.1712i	1.07469	−	1.04197i
$681$	25.5182	+	14.7329i	0.977858	+	0.564566i
$682$	−10.0178	−	2.73967i	−0.383602	−	0.104907i
$683$	6.90066	−	11.9523i	0.264046	−	0.457342i	−0.703267	−	0.710926i	$-0.748276\pi$
$683$	6.90066	−	11.9523i	0.264046	−	0.457342i	0.967313	+	0.253584i	$0.0816095\pi$
$684$	−26.0590	−	15.4054i	−0.996391	−	0.589040i
$685$	3.90751	+	6.76801i	0.149298	+	0.258592i
$686$	7.63395	+	2.08773i	0.291466	+	0.0797099i
$687$	7.81816	−	13.5415i	0.298282	−	0.516639i
$688$	−10.0422	−	18.2523i	−0.382855	−	0.695862i
$689$		−	0.891946i		−	0.0339804i
$690$	19.5292	−	19.3289i	0.743462	−	0.735840i
$691$	25.3492	+	14.6353i	0.964328	+	0.556755i	0.897502	−	0.441010i	$-0.145380\pi$
$691$	25.3492	+	14.6353i	0.964328	+	0.556755i	0.0668253	+	0.997765i	$0.478713\pi$
$692$	−18.3057	−	32.4747i	−0.695877	−	1.23450i
$693$			47.0359i			1.78674i
$694$	−1.09544	−	0.299581i	−0.0415825	−	0.0113720i
$695$		−	20.0893i		−	0.762032i
$696$	−27.0357	−	7.69403i	−1.02479	−	0.291642i
$697$			63.1542i			2.39214i
$698$	29.1254	+	29.4271i	1.10241	+	1.11383i
$699$	17.6246	−	10.1756i	0.666625	−	0.384876i
$700$	−11.0758	−	6.54771i	−0.418625	−	0.247480i
$701$	−19.1123	+	33.1035i	−0.721861	+	1.25030i	0.238392	+	0.971169i	$0.423380\pi$
$701$	−19.1123	+	33.1035i	−0.721861	+	1.25030i	−0.960253	+	0.279131i	$0.909954\pi$
$702$	−0.0686137	+	0.0180066i	−0.00258966	+	0.000679614i
$703$	28.4234	+	2.12302i	1.07201	+	0.0800711i
$704$	33.0499	+	1.02210i	1.24561	+	0.0385220i
$705$	−18.4400	−	10.6464i	−0.694492	−	0.400965i
$706$	18.1109	+	18.2985i	0.681613	+	0.688673i
$707$	1.05745	−	0.610517i	0.0397693	−	0.0229608i
$708$	−9.17500	+	15.5200i	−0.344818	+	0.583277i
$709$	1.38765			0.0521142			0.0260571	−	0.999660i	$-0.491705\pi$
$709$	1.38765			0.0521142			0.0260571	+	0.999660i	$0.491705\pi$
$710$	28.5323	−	28.2398i	1.07080	−	1.05982i
$711$		−	14.5707i		−	0.546443i
$712$	5.81352	+	23.1202i	0.217871	+	0.866464i
$713$	−7.76319			−0.290734
$714$	24.4531	+	93.1780i	0.915134	+	3.48710i
$715$	0.556693	+	0.321407i	0.0208191	+	0.0120199i
$716$	10.2523	+	6.06088i	0.383146	+	0.226506i
$717$	11.7022			0.437025
$718$	−34.2977	−	9.37973i	−1.27998	−	0.350048i
$719$	−14.2789	+	24.7318i	−0.532514	+	0.922341i	0.466765	+	0.884381i	$0.345419\pi$
$719$	−14.2789	+	24.7318i	−0.532514	+	0.922341i	−0.999279	+	0.0379602i	$0.987914\pi$
$720$	11.0963	+	20.1681i	0.413533	+	0.751621i
$721$	−4.56013	+	2.63279i	−0.169828	+	0.0980502i
$722$	2.97180	−	2.94133i	0.110599	−	0.109465i
$723$	9.95321	−	17.2395i	0.370164	−	0.641143i
$724$	40.2480	+	0.414788i	1.49581	+	0.0154155i
$725$	3.63530	−	6.29652i	0.135011	−	0.233847i
$726$	20.7706	−	5.45092i	0.770870	−	0.202303i
$727$	−5.84591	+	3.37514i	−0.216813	+	0.125177i	−0.604474	−	0.796625i	$-0.706616\pi$
$727$	−5.84591	+	3.37514i	−0.216813	+	0.125177i	0.387661	+	0.921802i	$0.373283\pi$
$728$	−0.843614	+	0.212125i	−0.0312664	+	0.00786188i
$729$	30.9725			1.14713
$730$	9.48674	+	36.1490i	0.351120	+	1.33794i
$731$	−34.9389	−	20.1720i	−1.29226	−	0.746088i
$732$	−2.48880	−	4.41519i	−0.0919887	−	0.163190i
$733$	−27.6648	+	15.9723i	−1.02182	+	0.589949i	−0.914631	−	0.404289i	$-0.867519\pi$
$733$	−27.6648	+	15.9723i	−1.02182	+	0.589949i	−0.107191	+	0.994238i	$0.534186\pi$
$734$	5.48773	+	20.9109i	0.202556	+	0.771835i
$735$	−20.8401	+	12.0320i	−0.768698	+	0.443808i
$736$	24.0309	−	5.77989i	0.885791	−	0.213050i
$737$	6.93583	+	12.0132i	0.255485	+	0.442512i
$738$	−35.9242	−	9.82453i	−1.32239	−	0.361646i
$739$		−	14.9757i		−	0.550890i	−0.961317	−	0.275445i	$-0.911175\pi$
$739$		−	14.9757i		−	0.550890i	0.961317	−	0.275445i	$-0.0888252\pi$
$740$	−17.7838	−	12.3887i	−0.653745	−	0.455416i
$741$		−	1.02102i		−	0.0375080i
$742$	13.4286	−	49.1026i	0.492978	−	1.80261i
$743$	23.6302	+	40.9287i	0.866909	+	1.50153i	0.865139	+	0.501532i	$0.167230\pi$
$743$	23.6302	+	40.9287i	0.866909	+	1.50153i	0.00176941	+	0.999998i	$0.499437\pi$
$744$	3.43348	−	12.0648i	0.125877	−	0.442315i
$745$	23.6909	−	13.6779i	0.867966	−	0.501120i
$746$	41.5078	−	10.8931i	1.51971	−	0.398824i
$747$	24.1978	−	13.9706i	0.885352	−	0.511158i
$748$	55.7826	−	31.4441i	2.03961	−	1.14971i
$749$	−18.0829	−	10.4402i	−0.660735	−	0.381476i
$750$	−41.5215	+	10.8966i	−1.51615	+	0.397889i
$751$	12.6722			0.462414			0.231207	−	0.972905i	$-0.425733\pi$
$751$	12.6722			0.462414			0.231207	+	0.972905i	$0.425733\pi$
$752$	−9.23272	−	16.7810i	−0.336683	−	0.611940i
$753$	−63.1335	+	36.4501i	−2.30071	+	1.32832i
$754$	−0.124774	−	0.475449i	−0.00454401	−	0.0173148i
$755$	−7.11594	+	12.3252i	−0.258976	+	0.448559i
$756$	−4.04836	−	0.0417215i	−0.147237	−	0.00151740i
$757$	3.24429	−	5.61927i	0.117916	−	0.204236i	−0.801026	−	0.598630i	$-0.795712\pi$
$757$	3.24429	−	5.61927i	0.117916	−	0.204236i	0.918941	+	0.394394i	$0.129045\pi$
$758$	7.42451	+	7.50142i	0.269670	+	0.272464i
$759$	39.0370	−	22.5380i	1.41695	−	0.818077i
$760$	−22.8988	+	5.75788i	−0.830629	+	0.208860i
$761$	11.5291	−	19.9690i	0.417931	−	0.723877i	−0.577800	−	0.816178i	$-0.696089\pi$
$761$	11.5291	−	19.9690i	0.417931	−	0.723877i	0.995731	+	0.0923007i	$0.0294221\pi$
$762$	−10.2167	+	37.3581i	−0.370111	+	1.35334i
$763$	−44.6540			−1.61658
$764$	−2.67824	+	4.53037i	−0.0968952	+	0.163903i
$765$	38.6062	+	22.2893i	1.39581	+	0.805871i
$766$	−21.7779	+	5.71526i	−0.786867	+	0.206501i
$767$	−0.315278			−0.0113840
$768$	−1.64579	+	39.9027i	−0.0593873	+	1.43986i
$769$		−	25.3546i		−	0.914308i	−0.889387	−	0.457154i	$-0.848869\pi$
$769$		−	25.3546i		−	0.914308i	0.889387	−	0.457154i	$-0.151131\pi$
$770$	25.8077	+	26.0750i	0.930044	+	0.939679i
$771$	−12.9849			−0.467639
$772$	−6.56867	+	11.1112i	−0.236412	+	0.399902i
$773$	−5.23763	+	3.02395i	−0.188384	+	0.108764i	−0.591226	−	0.806506i	$-0.701356\pi$
$773$	−5.23763	+	3.02395i	−0.188384	+	0.108764i	0.402842	+	0.915270i	$0.368023\pi$
$774$	16.9097	−	16.7364i	0.607808	−	0.601576i
$775$	2.80983	+	1.62226i	0.100932	+	0.0582732i
$776$	19.1543	−	18.5711i	0.687599	−	0.666663i
$777$	48.1862	−	23.2198i	1.72867	−	0.833007i
$778$	−0.633754	−	2.41491i	−0.0227212	−	0.0865786i
$779$	19.1010	−	33.0840i	0.684366	−	1.18536i
$780$	−0.395103	+	0.668336i	−0.0141469	+	0.0239303i
$781$	57.0335	−	32.9283i	2.04082	−	1.17827i
$782$	34.0198	−	33.6710i	1.21654	−	1.20407i
$783$		−	2.28777i		−	0.0817583i
$784$	−21.6415	−	0.446112i	−0.772909	−	0.0159326i
$785$		−	2.59787i		−	0.0927219i
$786$	15.6301	−	57.1526i	0.557506	−	2.03857i
$787$		−	34.4150i		−	1.22676i	−0.789786	−	0.613382i	$-0.789809\pi$
$787$		−	34.4150i		−	1.22676i	0.789786	−	0.613382i	$-0.210191\pi$
$788$	−24.0394	−	42.6465i	−0.856369	−	1.51922i
$789$	−51.1625	−	29.5387i	−1.82143	−	1.05160i
$790$	−7.99465	−	8.07746i	−0.284437	−	0.287383i
$791$		−	38.2606i		−	1.36039i
$792$	9.20868	+	36.6226i	0.327216	+	1.30133i
$793$	0.0443153	−	0.0767563i	0.00157368	−	0.00272570i
$794$	6.80076	−	24.8675i	0.241350	−	0.882516i
$795$	−22.7174	−	39.3478i	−0.805705	−	1.39552i
$796$	−6.37307	+	10.7804i	−0.225887	+	0.382100i
$797$	14.2093	−	24.6113i	0.503321	−	0.871777i	−0.496672	−	0.867938i	$-0.665445\pi$
$797$	14.2093	−	24.6113i	0.503321	−	0.871777i	0.999993	−	0.00383867i	$-0.00122189\pi$
$798$	15.3718	−	56.2081i	0.544155	−	1.98975i
$799$	−32.1225	−	18.5460i	−1.13641	−	0.656109i
$800$	−9.90563	−	2.92969i	−0.350217	−	0.103580i
$801$	−23.5786	+	13.6131i	−0.833110	+	0.480997i
$802$	−4.30716	+	15.7495i	−0.152091	+	0.556133i
$803$			61.3102i			2.16359i
$804$	−14.5951	+	8.22711i	−0.514729	+	0.290148i
$805$	23.7492	+	13.7116i	0.837049	+	0.483271i
$806$	0.212170	−	0.0556807i	0.00747338	−	0.00196127i
$807$	−1.15359	−	1.99807i	−0.0406082	−	0.0703355i
$808$	0.703810	−	0.682381i	0.0247600	−	0.0240061i
$809$	−31.5871	+	18.2368i	−1.11054	+	0.641172i	−0.938970	−	0.344000i	$-0.888218\pi$
$809$	−31.5871	+	18.2368i	−1.11054	+	0.641172i	−0.171572	+	0.985172i	$0.554885\pi$
$810$	14.7848	−	14.6332i	0.519486	−	0.514160i
$811$	0.462912	−	0.267262i	0.0162550	−	0.00938485i	−0.491850	−	0.870680i	$-0.663679\pi$
$811$	0.462912	−	0.267262i	0.0162550	−	0.00938485i	0.508106	+	0.861295i	$0.330346\pi$
$812$	0.289104	−	28.0526i	0.0101456	−	0.984452i
$813$		−	63.2537i		−	2.21840i
$814$	−23.0597	−	27.0633i	−0.808241	−	0.948569i
$815$	1.12336			0.0393494
$816$	37.2818	+	67.7619i	1.30512	+	2.37214i
$817$	12.2021	+	21.1346i	0.426896	+	0.739406i
$818$	18.6747	+	18.8681i	0.652946	+	0.659709i
$819$	−0.496719	−	0.860343i	−0.0173568	−	0.0300628i
$820$	−25.3056	+	14.2646i	−0.883711	+	0.498140i
$821$	−18.3763	+	10.6096i	−0.641337	+	0.370276i	−0.785129	−	0.619332i	$-0.787404\pi$
$821$	−18.3763	+	10.6096i	−0.641337	+	0.370276i	0.143792	+	0.989608i	$0.454070\pi$
$822$	−14.9773	+	3.93056i	−0.522395	+	0.137094i
$823$	−0.842414	+	1.45910i	−0.0293647	+	0.0508611i	−0.880334	−	0.474354i	$-0.842682\pi$
$823$	−0.842414	+	1.45910i	−0.0293647	+	0.0508611i	0.850970	+	0.525215i	$0.176015\pi$
$824$	−3.03511	+	2.94270i	−0.105733	+	0.102514i
$825$	−18.8389			−0.655885
$826$	−17.3564	−	4.74662i	−0.603907	−	0.165156i
$827$	10.2285	+	17.7164i	0.355681	+	0.616058i	0.987234	−	0.159275i	$-0.0509155\pi$
$827$	10.2285	+	17.7164i	0.355681	+	0.616058i	−0.631553	+	0.775333i	$0.717582\pi$
$828$	13.8609	+	24.5896i	0.481700	+	0.854546i
$829$	−2.65709	+	4.60221i	−0.0922844	+	0.159841i	−0.908472	−	0.417946i	$-0.862750\pi$
$829$	−2.65709	+	4.60221i	−0.0922844	+	0.159841i	0.816188	+	0.577787i	$0.196084\pi$
$830$	5.74901	−	21.0217i	0.199551	−	0.729674i
$831$	29.7560	+	17.1796i	1.03222	+	0.595954i
$832$	−0.615316	+	0.330325i	−0.0213322	+	0.0114520i
$833$	−36.3034	+	20.9598i	−1.25784	+	0.726213i
$834$	38.3947	+	10.5002i	1.32950	+	0.363591i
$835$	−31.4783	−	18.1740i	−1.08935	−	0.628937i
$836$	−38.7326	−	0.399170i	−1.33959	−	0.0138056i
$837$	1.02092			0.0352882
$838$	14.7318	+	14.8844i	0.508900	+	0.514172i
$839$	−6.99642	+	12.1182i	−0.241543	+	0.418365i	−0.961154	−	0.276012i	$-0.910987\pi$
$839$	−6.99642	+	12.1182i	−0.241543	+	0.418365i	0.719611	+	0.694378i	$0.244320\pi$
$840$	−31.8129	+	30.8442i	−1.09765	+	1.06423i
$841$	−13.1472			−0.453351
$842$	−7.74402	−	2.11783i	−0.266876	−	0.0729852i
$843$	−43.4687			−1.49714
$844$	−13.0577	+	22.0877i	−0.449464	+	0.760291i
$845$	23.1466			0.796268
$846$	15.5467	−	15.3873i	0.534506	−	0.529025i
$847$	10.7159	+	18.5605i	0.368203	+	0.637746i
$848$	0.842296	−	40.8608i	0.0289246	−	1.40317i
$849$	27.2031	+	15.7057i	0.933607	+	0.539018i
$850$	−19.3494	+	5.07793i	−0.663677	+	0.174172i
$851$	−21.9627	−	14.9660i	−0.752873	−	0.513029i
$852$	39.0587	+	69.2910i	1.33813	+	2.37387i
$853$	−20.1421	+	34.8872i	−0.689654	+	1.19452i	0.282296	+	0.959327i	$0.408904\pi$
$853$	−20.1421	+	34.8872i	−0.689654	+	1.19452i	−0.971950	+	0.235188i	$0.924429\pi$
$854$	3.59520	−	3.55834i	0.123025	−	0.121764i
$855$	−13.4828	−	23.3530i	−0.461103	−	0.798654i
$856$	−16.1235	−	4.58855i	−0.551090	−	0.156833i
$857$		−	5.85118i		−	0.199872i	−0.994994	−	0.0999362i	$-0.968136\pi$
$857$		−	5.85118i		−	0.199872i	0.994994	−	0.0999362i	$-0.0318639\pi$
$858$	−0.905240	+	0.895958i	−0.0309044	+	0.0305875i
$859$	−22.6563			−0.773024			−0.386512	−	0.922284i	$-0.626320\pi$
$859$	−22.6563			−0.773024			−0.386512	+	0.922284i	$0.626320\pi$
$860$	0.191235	−	18.5561i	0.00652107	−	0.632758i
$861$		−	71.6915i		−	2.44324i
$862$	40.2549	−	10.5643i	1.37109	−	0.359820i
$863$	0.840900	−	1.45648i	0.0286246	−	0.0495792i	−0.851358	−	0.524585i	$-0.824221\pi$
$863$	0.840900	−	1.45648i	0.0286246	−	0.0495792i	0.879983	+	0.475005i	$0.157554\pi$
$864$	−3.16026	+	0.760103i	−0.107514	+	0.0258592i
$865$		−	33.2070i		−	1.12907i
$866$	16.6732	+	4.55979i	0.566579	+	0.154948i
$867$	92.9634	+	53.6724i	3.15720	+	1.82281i
$868$	12.5185	+	0.129013i	0.424906	+	0.00437899i
$869$	−9.32195	−	16.1461i	−0.316226	−	0.547719i
$870$	−17.6138	−	17.7963i	−0.597165	−	0.603351i
$871$	−0.253730	−	0.146491i	−0.00859730	−	0.00496365i
$872$	−34.7680	+	8.74236i	−1.17739	+	0.296054i
$873$	26.3867	+	15.2344i	0.893055	+	0.515606i
$874$	−28.0054	+	7.34957i	−0.947297	+	0.248603i
$875$	−21.4216	−	37.1033i	−0.724182	−	1.25432i
$876$	−74.0463	−	0.763106i	−2.50179	−	0.0257829i
$877$		−	2.87786i		−	0.0971785i	−0.998819	−	0.0485893i	$-0.984527\pi$
$877$		−	2.87786i		−	0.0971785i	0.998819	−	0.0485893i	$-0.0154725\pi$
$878$	−10.9392	+	2.87082i	−0.369180	+	0.0968854i
$879$	41.0100	−	71.0314i	1.38323	−	2.39583i
$880$	25.1991	+	15.2496i	0.849461	+	0.514065i
$881$	10.3403	+	17.9100i	0.348375	+	0.603403i	0.985961	−	0.166976i	$-0.0534004\pi$
$881$	10.3403	+	17.9100i	0.348375	+	0.603403i	−0.637586	+	0.770379i	$0.720067\pi$
$882$	−6.27510	−	23.9112i	−0.211294	−	0.805130i
$883$	−17.3621	−	30.0720i	−0.584280	−	1.01200i	−0.994965	−	0.100225i	$-0.968044\pi$
$883$	−17.3621	−	30.0720i	−0.584280	−	1.01200i	0.410685	−	0.911777i	$-0.365290\pi$
$884$	−0.688268	+	1.16424i	−0.0231490	+	0.0391576i
$885$	−13.9083	+	8.02998i	−0.467523	+	0.269925i
$886$	−7.64966	+	27.9716i	−0.256995	+	0.939724i
$887$	41.8321			1.40459			0.702293	−	0.711888i	$-0.252160\pi$
$887$	41.8321			1.40459			0.702293	+	0.711888i	$0.252160\pi$
$888$	32.9723	−	27.5131i	1.10648	−	0.923278i
$889$	−38.6539			−1.29641
$890$	−5.60190	+	20.4838i	−0.187776	+	0.686618i
$891$	29.5535	−	17.0627i	0.990079	−	0.571622i
$892$	−14.5197	−	8.58364i	−0.486154	−	0.287401i
$893$	11.2185	+	19.4310i	0.375412	+	0.650233i
$894$	13.7586	+	52.4270i	0.460157	+	1.75342i
$895$	5.30449	+	9.18765i	0.177310	+	0.307109i
$896$	−38.8470	+	8.92099i	−1.29779	+	0.298029i
$897$	−0.476022	+	0.824495i	−0.0158939	+	0.0275291i
$898$	−15.7655	+	4.13741i	−0.526102	+	0.138067i
$899$			7.07435i			0.235943i
$900$	0.121572	−	11.7965i	0.00405241	−	0.393217i
$901$	−39.5738	−	68.5438i	−1.31839	−	2.28352i
$902$	−46.0939	+	12.0966i	−1.53476	+	0.402773i
$903$	39.6620	+	22.8989i	1.31987	+	0.762027i
$904$	−7.49067	−	29.7901i	−0.249136	−	0.990804i
$905$	31.0504	+	17.9270i	1.03215	+	0.595912i
$906$	−19.8365	−	20.0420i	−0.659024	−	0.665850i
$907$	−5.48500	−	9.50029i	−0.182126	−	0.315452i	0.760478	−	0.649364i	$-0.224965\pi$
$907$	−5.48500	−	9.50029i	−0.182126	−	0.315452i	−0.942604	+	0.333912i	$0.891631\pi$
$908$	−0.243308	+	23.6088i	−0.00807445	+	0.783487i
$909$	0.969561	+	0.559777i	0.0321583	+	0.0185666i
$910$	−0.747418	−	0.204403i	−0.0247767	−	0.00677591i
$911$			18.7503i			0.621225i	0.950537	+	0.310612i	$0.100534\pi$
$911$			18.7503i			0.621225i	−0.950537	+	0.310612i	$0.899466\pi$
$912$	0.964181	−	46.7737i	0.0319272	−	1.54883i
$913$	17.8761	−	30.9624i	0.591613	−	1.02470i
$914$	41.3007	−	10.8387i	1.36611	−	0.358513i
$915$		−	4.51476i		−	0.149253i
$916$	12.5283	+	0.129114i	0.413945	+	0.00426603i
$917$	59.1350			1.95281
$918$	−4.47387	+	4.42800i	−0.147660	+	0.146146i
$919$			14.7395i			0.486211i	0.970000	+	0.243106i	$0.0781662\pi$
$919$			14.7395i			0.486211i	−0.970000	+	0.243106i	$0.921834\pi$
$920$	21.1758	+	6.02637i	0.698146	+	0.198684i
$921$	4.30779	+	7.46131i	0.141947	+	0.245859i
$922$	11.8870	−	11.7651i	0.391477	−	0.387464i
$923$	−0.695474	+	1.20460i	−0.0228918	+	0.0396498i
$924$	−63.3234	+	35.6948i	−2.08319	+	1.17427i
$925$	4.82183	+	10.0064i	0.158541	+	0.329007i
$926$	−35.1994	+	9.23752i	−1.15672	+	0.303564i
$927$	−4.18114	−	2.41398i	−0.137326	−	0.0792855i
$928$	−5.26703	−	21.8986i	−0.172899	−	0.718856i
$929$	7.89990	+	13.6830i	0.259187	+	0.448926i	0.966024	−	0.258451i	$-0.0832119\pi$
$929$	7.89990	+	13.6830i	0.259187	+	0.448926i	−0.706837	+	0.707376i	$0.749879\pi$
$930$	7.94163	−	7.86021i	0.260416	−	0.257746i
$931$	25.3572			0.831049
$932$	14.0373	+	8.29849i	0.459808	+	0.271826i
$933$	16.9141			0.553742
$934$	37.8136	+	10.3412i	1.23730	+	0.338376i
$935$	57.0406			1.86543
$936$	−0.555188	−	0.572624i	−0.0181469	−	0.0187168i
$937$	−7.48297	+	12.9609i	−0.244458	+	0.423414i	−0.961979	−	0.273123i	$-0.911943\pi$
$937$	−7.48297	+	12.9609i	−0.244458	+	0.423414i	0.717521	+	0.696537i	$0.245277\pi$
$938$	−11.7626	−	11.8845i	−0.384064	−	0.388042i
$939$	−20.1276			−0.656841
$940$	0.175820	−	17.0603i	0.00573462	−	0.556446i
$941$	42.0222	+	24.2615i	1.36988	+	0.790903i	0.990913	−	0.134506i	$-0.0429447\pi$
$941$	42.0222	+	24.2615i	1.36988	+	0.790903i	0.378971	+	0.925409i	$0.376278\pi$
$942$	4.96503	+	1.35784i	0.161770	+	0.0442407i
$943$	−30.8491	+	17.8107i	−1.00458	+	0.579997i
$944$	−14.4432	−	0.297728i	−0.470085	−	0.00969022i
$945$	−3.12321	−	1.80319i	−0.101598	−	0.0586577i
$946$	8.03056	−	29.3644i	0.261096	−	0.954718i
$947$	1.45263	−	2.51603i	0.0472042	−	0.0817600i	−0.841458	−	0.540323i	$-0.818302\pi$
$947$	1.45263	−	2.51603i	0.0472042	−	0.0817600i	0.888662	+	0.458563i	$0.151636\pi$
$948$	19.6162	−	11.0575i	0.637104	−	0.359130i
$949$	−0.647462	−	1.12144i	−0.0210175	−	0.0364034i
$950$	11.6722	+	3.19210i	0.378696	+	0.103566i
$951$	14.9436			0.484579
$952$	−55.4180	+	53.7306i	−1.79611	+	1.74142i
$953$	−1.21050	+	2.09665i	−0.0392119	+	0.0679171i	−0.884965	−	0.465657i	$-0.845818\pi$
$953$	−1.21050	+	2.09665i	−0.0392119	+	0.0679171i	0.845753	+	0.533574i	$0.179151\pi$
$954$	45.1462	−	11.8479i	1.46166	−	0.383590i
$955$	−4.05992	+	2.34400i	−0.131376	+	0.0758500i
$956$	4.60436	+	8.16825i	0.148916	+	0.264180i
$957$	−20.5381	−	35.5731i	−0.663904	−	1.14992i
$958$	−13.7736	−	13.9163i	−0.445005	−	0.449615i
$959$	−7.72705	−	13.3836i	−0.249519	−	0.432180i
$960$	−18.7311	+	30.2440i	−0.604545	+	0.976119i
$961$	27.8431			0.898163
$962$	0.707590	+	0.251501i	0.0228136	+	0.00810870i
$963$		−	19.1450i		−	0.616939i
$964$	15.9496	+	0.164373i	0.513701	+	0.00529410i
$965$	−9.95740	+	5.74891i	−0.320540	+	0.185064i
$966$	−38.6186	+	38.2227i	−1.24253	+	1.22979i
$967$	47.0633	−	27.1720i	1.51345	−	0.873793i	0.513579	−	0.858042i	$-0.328319\pi$
$967$	47.0633	−	27.1720i	1.51345	−	0.873793i	0.999876	−	0.0157510i	$-0.00501392\pi$
$968$	11.9773	+	12.3534i	0.384964	+	0.397054i
$969$	−45.3003	−	78.4625i	−1.45526	−	2.52058i
$970$	22.9867	−	6.03249i	0.738058	−	0.193692i
$971$	35.3477	+	20.4080i	1.13436	+	0.654925i	0.945029	−	0.326988i	$-0.106034\pi$
$971$	35.3477	+	20.4080i	1.13436	+	0.654925i	0.189335	+	0.981913i	$0.439367\pi$
$972$	21.9323	+	38.9084i	0.703478	+	1.24799i
$973$			39.7264i			1.27357i
$974$	0.488526	−	1.78634i	0.0156534	−	0.0572379i
$975$	0.344586	−	0.198947i	0.0110356	−	0.00637139i
$976$	2.10261	−	3.47443i	0.0673028	−	0.111214i
$977$	−17.1810	−	9.91943i	−0.549667	−	0.317351i	0.199320	−	0.979934i	$-0.436127\pi$
$977$	−17.1810	−	9.91943i	−0.549667	−	0.317351i	−0.748988	+	0.662584i	$0.769460\pi$
$978$	−0.587148	+	2.14695i	−0.0187749	+	0.0686520i
$979$	−17.4187	+	30.1701i	−0.556704	+	0.964240i
$980$	−16.5983	−	9.81247i	−0.530213	−	0.313448i
$981$	−20.4714	−	35.4575i	−0.653601	−	1.13207i
$982$	14.4215	−	52.7332i	0.460207	−	1.68278i
$983$	−11.1646	+	19.3376i	−0.356095	+	0.616775i	−0.987305	−	0.158837i	$-0.949225\pi$
$983$	−11.1646	+	19.3376i	−0.356095	+	0.616775i	0.631209	+	0.775612i	$0.282559\pi$
$984$	−14.0358	−	55.8197i	−0.447444	−	1.77947i
$985$		−	43.6082i		−	1.38947i
$986$	−30.6833	−	31.0011i	−0.977154	−	0.987276i
$987$	36.4649	+	21.0530i	1.16069	+	0.670126i
$988$	0.712682	−	0.401732i	0.0226734	−	0.0127808i
$989$		−	22.7556i		−	0.723585i
$990$	−8.87347	+	32.4466i	−0.282017	+	1.03122i
$991$		−	43.0109i		−	1.36629i	−0.730285	−	0.683143i	$-0.760613\pi$
$991$		−	43.0109i		−	1.36629i	0.730285	−	0.683143i	$-0.239387\pi$
$992$	9.77229	−	2.35042i	0.310271	−	0.0746260i
$993$		−	81.3157i		−	2.58048i
$994$	−56.4223	+	55.8438i	−1.78961	+	1.77126i
$995$	−9.66090	+	5.57772i	−0.306271	+	0.176826i
$996$	37.1718	+	21.9750i	1.17783	+	0.696303i
$997$	12.6617	−	21.9308i	0.401001	−	0.694554i	−0.592846	−	0.805316i	$-0.701996\pi$
$997$	12.6617	−	21.9308i	0.401001	−	0.694554i	0.993847	+	0.110762i	$0.0353291\pi$
$998$	12.7841	+	48.7137i	0.404675	+	1.54201i
$999$	2.88828	+	1.96815i	0.0913810	+	0.0622696i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.q.a.101.3	yes	72
4.3	odd	2		1184.2.y.a.1137.5		72
8.3	odd	2		1184.2.y.a.1137.32		72
8.5	even	2	inner	296.2.q.a.101.11	yes	72
37.11	even	6	inner	296.2.q.a.85.11	yes	72
148.11	odd	6		1184.2.y.a.529.32		72
296.11	odd	6		1184.2.y.a.529.5		72
296.85	even	6	inner	296.2.q.a.85.3	✓	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.q.a.85.3	✓	72	296.85	even	6	inner
296.2.q.a.85.11	yes	72	37.11	even	6	inner
296.2.q.a.101.3	yes	72	1.1	even	1	trivial
296.2.q.a.101.11	yes	72	8.5	even	2	inner
1184.2.y.a.529.5		72	296.11	odd	6
1184.2.y.a.529.32		72	148.11	odd	6
1184.2.y.a.1137.5		72	4.3	odd	2
1184.2.y.a.1137.32		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+(-1.36412 - 0.373059i) q^{2} +(2.16163 - 1.24802i) q^{3} +(1.72165 + 1.01780i) q^{4} +(0.890777 + 1.54287i) q^{5} +(-3.41431 + 0.896032i) q^{6} +(-1.76150 - 3.05101i) q^{7} +(-1.96885 - 2.03068i) q^{8} +(1.61510 - 2.79744i) q^{9} +(-0.639545 - 2.43698i) q^{10} -4.13321i q^{11} +(4.99181 + 0.0514445i) q^{12} +(0.0436485 + 0.0756014i) q^{13} +(1.26469 + 4.81908i) q^{14} +(3.85106 + 2.22341i) q^{15} +(1.92818 + 3.50458i) q^{16} +(6.70855 + 3.87318i) q^{17} +(-3.24680 + 3.21351i) q^{18} +(-2.34289 - 4.05801i) q^{19} +(-0.0367187 + 3.56292i) q^{20} +(-7.61542 - 4.39677i) q^{21} +(-1.54193 + 5.63820i) q^{22} +4.36925i q^{23} +(-6.79024 - 1.93242i) q^{24} +(0.913033 - 1.58142i) q^{25} +(-0.0313380 - 0.119413i) q^{26} -0.574592i q^{27} +(0.0726107 - 7.04562i) q^{28} +3.98156 q^{29} +(-4.42385 - 4.46968i) q^{30} +1.77678i q^{31} +(-1.32286 - 5.50000i) q^{32} +(-5.15832 - 8.93447i) q^{33} +(-7.70634 - 7.78617i) q^{34} +(3.13820 - 5.43553i) q^{35} +(5.62786 - 3.17237i) q^{36} +(-3.42531 + 5.02666i) q^{37} +(1.68211 + 6.40966i) q^{38} +(0.188704 + 0.108948i) q^{39} +(1.37927 - 4.84655i) q^{40} +(4.07638 + 7.06049i) q^{41} +(8.74811 + 8.83873i) q^{42} -5.20812 q^{43} +(4.20676 - 7.11595i) q^{44} +5.75478 q^{45} +(1.62999 - 5.96019i) q^{46} -4.78830 q^{47} +(8.54181 + 5.16921i) q^{48} +(-2.70576 + 4.68651i) q^{49} +(-1.83545 + 1.81663i) q^{50} +19.3352 q^{51} +(-0.00179923 + 0.174585i) q^{52} +(-8.84851 - 5.10869i) q^{53} +(-0.214357 + 0.783813i) q^{54} +(6.37700 - 3.68176i) q^{55} +(-2.72748 + 9.58399i) q^{56} +(-10.1289 - 5.84795i) q^{57} +(-5.43133 - 1.48536i) q^{58} +(-1.80578 + 3.12770i) q^{59} +(4.36722 + 7.74754i) q^{60} +(-0.507638 - 0.879255i) q^{61} +(0.662844 - 2.42374i) q^{62} -11.3800 q^{63} +(-0.247291 + 7.99618i) q^{64} +(-0.0777621 + 0.134688i) q^{65} +(3.70349 + 14.1121i) q^{66} +(-2.90651 + 1.67808i) q^{67} +(7.60768 + 13.4962i) q^{68} +(5.45291 + 9.44471i) q^{69} +(-6.30867 + 6.24399i) q^{70} +(7.96677 + 13.7988i) q^{71} +(-8.86057 + 2.22798i) q^{72} -14.8336 q^{73} +(6.54778 - 5.57912i) q^{74} -4.55793i q^{75} +(0.0965763 - 9.37108i) q^{76} +(-12.6104 + 7.28064i) q^{77} +(-0.216771 - 0.219016i) q^{78} +(3.90643 - 2.25538i) q^{79} +(-3.68954 + 6.09674i) q^{80} +(4.12820 + 7.15025i) q^{81} +(-2.92669 - 11.1521i) q^{82} +(7.49112 + 4.32500i) q^{83} +(-8.63611 - 15.3207i) q^{84} +13.8006i q^{85} +(7.10450 + 1.94294i) q^{86} +(8.60666 - 4.96906i) q^{87} +(-8.39320 + 8.13765i) q^{88} +(-7.29943 - 4.21433i) q^{89} +(-7.85021 - 2.14687i) q^{90} +(0.153773 - 0.266343i) q^{91} +(-4.44701 + 7.52234i) q^{92} +(2.21745 + 3.84074i) q^{93} +(6.53182 + 1.78632i) q^{94} +(4.17399 - 7.22956i) q^{95} +(-9.72364 - 10.2380i) q^{96} +9.43247i q^{97} +(5.43932 - 5.38356i) q^{98} +(-11.5624 - 6.67555i) 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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