LMFDB - Embedded newform 280.2.ba.b.19.28

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(19,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))

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

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

chi := DirichletCharacter("280.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.ba (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$40$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			19.28
Character	$\chi$	$=$	280.19
Dual form			280.2.ba.b.59.28

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.881474 - 1.10590i) q^{2} +(1.13535 + 1.96648i) q^{3} +(-0.446008 - 1.94964i) q^{4} +(0.406539 - 2.19880i) q^{5} +(3.17551 + 0.477826i) q^{6} +(0.551936 - 2.58754i) q^{7} +(-2.54924 - 1.22531i) q^{8} +(-1.07804 + 1.86722i) q^{9} +O(q^{10})$	\(q+(0.881474 - 1.10590i) q^{2} +(1.13535 + 1.96648i) q^{3} +(-0.446008 - 1.94964i) q^{4} +(0.406539 - 2.19880i) q^{5} +(3.17551 + 0.477826i) q^{6} +(0.551936 - 2.58754i) q^{7} +(-2.54924 - 1.22531i) q^{8} +(-1.07804 + 1.86722i) q^{9} +(-2.07329 - 2.38777i) q^{10} +(-0.454564 - 0.787328i) q^{11} +(3.32755 - 3.09059i) q^{12} +5.66349i q^{13} +(-2.37503 - 2.89123i) q^{14} +(4.78547 - 1.69696i) q^{15} +(-3.60215 + 1.73911i) q^{16} +(3.14931 + 5.45476i) q^{17} +(1.11469 + 2.83811i) q^{18} +(-0.966292 - 0.557889i) q^{19} +(-4.46818 + 0.188080i) q^{20} +(5.71500 - 1.85239i) q^{21} +(-1.27139 - 0.191309i) q^{22} +(1.14508 - 1.98334i) q^{23} +(-0.484714 - 6.40419i) q^{24} +(-4.66945 - 1.78780i) q^{25} +(6.26323 + 4.99222i) q^{26} +1.91628 q^{27} +(-5.29093 + 0.0779898i) q^{28} +6.21463i q^{29} +(2.34161 - 6.78805i) q^{30} +(-1.41914 - 2.45801i) q^{31} +(-1.25194 + 5.51658i) q^{32} +(1.03218 - 1.78779i) q^{33} +(8.80842 + 1.32542i) q^{34} +(-5.46510 - 2.26553i) q^{35} +(4.12122 + 1.26899i) q^{36} +(-0.789609 + 1.36764i) q^{37} +(-1.46873 + 0.576853i) q^{38} +(-11.1372 + 6.43005i) q^{39} +(-3.73059 + 5.10713i) q^{40} +0.163067i q^{41} +(2.98907 - 7.95302i) q^{42} +8.29346i q^{43} +(-1.33226 + 1.23739i) q^{44} +(3.66738 + 3.12950i) q^{45} +(-1.18401 - 3.01460i) q^{46} +(-8.56191 - 4.94322i) q^{47} +(-7.50963 - 5.10909i) q^{48} +(-6.39073 - 2.85631i) q^{49} +(-6.09311 + 3.58803i) q^{50} +(-7.15113 + 12.3861i) q^{51} +(11.0417 - 2.52596i) q^{52} +(-2.56505 - 4.44280i) q^{53} +(1.68916 - 2.11921i) q^{54} +(-1.91598 + 0.679417i) q^{55} +(-4.57757 + 5.91996i) q^{56} -2.53360i q^{57} +(6.87273 + 5.47803i) q^{58} +(9.97768 - 5.76061i) q^{59} +(-5.44281 - 8.57307i) q^{60} +(0.977217 - 1.69259i) q^{61} +(-3.96924 - 0.597261i) q^{62} +(4.23650 + 3.82006i) q^{63} +(4.99721 + 6.24723i) q^{64} +(12.4529 + 2.30243i) q^{65} +(-1.06727 - 2.71737i) q^{66} +(-6.09472 + 3.51879i) q^{67} +(9.23017 - 8.57286i) q^{68} +5.20028 q^{69} +(-7.32279 + 4.04682i) q^{70} -0.811490i q^{71} +(5.03612 - 3.43905i) q^{72} +(-4.54031 - 7.86404i) q^{73} +(0.816449 + 2.07877i) q^{74} +(-1.78579 - 11.2122i) q^{75} +(-0.656706 + 2.13274i) q^{76} +(-2.28813 + 0.741649i) q^{77} +(-2.70617 + 17.9845i) q^{78} +(-9.82237 - 5.67095i) q^{79} +(2.35953 + 8.62743i) q^{80} +(5.40978 + 9.37001i) q^{81} +(0.180335 + 0.143739i) q^{82} +7.80839 q^{83} +(-6.16042 - 10.3160i) q^{84} +(13.2742 - 4.70713i) q^{85} +(9.17169 + 7.31047i) q^{86} +(-12.2210 + 7.05578i) q^{87} +(0.194067 + 2.56407i) q^{88} +(12.4104 + 7.16517i) q^{89} +(6.69360 - 1.29717i) q^{90} +(14.6545 + 3.12589i) q^{91} +(-4.37750 - 1.34791i) q^{92} +(3.22243 - 5.58142i) q^{93} +(-13.0138 + 5.11125i) q^{94} +(-1.61952 + 1.89788i) q^{95} +(-12.2697 + 3.80134i) q^{96} -9.99774 q^{97} +(-8.79205 + 4.54972i) q^{98} +1.96016 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) $ 80 * q + 6 * q^4 - 52 * q^9	$ 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) $ 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	0.881474	−	1.10590i	0.623296	−	0.781986i
$2$	0.881474	−	1.10590i	0.623296	−	0.781986i
$3$	1.13535	+	1.96648i	0.655495	+	1.13535i	0.981769	+	0.190075i	$0.0608732\pi$
$3$	1.13535	+	1.96648i	0.655495	+	1.13535i	−0.326275	+	0.945275i	$0.605793\pi$
$4$	−0.446008	−	1.94964i	−0.223004	−	0.974818i
$5$	0.406539	−	2.19880i	0.181810	−	0.983334i
$5$	0.406539	−	2.19880i	0.181810	−	0.983334i
$6$	3.17551	+	0.477826i	1.29640	+	0.195072i
$7$	0.551936	−	2.58754i	0.208612	−	0.977998i
$7$	0.551936	−	2.58754i	0.208612	−	0.977998i
$8$	−2.54924	−	1.22531i	−0.901291	−	0.433214i
$9$	−1.07804	+	1.86722i	−0.359347	+	0.622407i
$10$	−2.07329	−	2.38777i	−0.655632	−	0.755081i
$11$	−0.454564	−	0.787328i	−0.137056	−	0.237388i	0.789325	−	0.613976i	$-0.210431\pi$
$11$	−0.454564	−	0.787328i	−0.137056	−	0.237388i	−0.926381	+	0.376587i	$0.877097\pi$
$12$	3.32755	−	3.09059i	0.960582	−	0.892175i
$13$			5.66349i			1.57077i	0.619007	+	0.785385i	$0.287535\pi$
$13$			5.66349i			1.57077i	−0.619007	+	0.785385i	$0.712465\pi$
$14$	−2.37503	−	2.89123i	−0.634754	−	0.772714i
$15$	4.78547	−	1.69696i	1.23560	−	0.438153i
$16$	−3.60215	+	1.73911i	−0.900538	+	0.434776i
$17$	3.14931	+	5.45476i	0.763819	+	1.32297i	0.940869	+	0.338771i	$0.110011\pi$
$17$	3.14931	+	5.45476i	0.763819	+	1.32297i	−0.177050	+	0.984202i	$0.556655\pi$
$18$	1.11469	+	2.83811i	0.262734	+	0.668948i
$19$	−0.966292	−	0.557889i	−0.221683	−	0.127989i	0.385047	−	0.922897i	$-0.374185\pi$
$19$	−0.966292	−	0.557889i	−0.221683	−	0.127989i	−0.606729	+	0.794909i	$0.707519\pi$
$20$	−4.46818	+	0.188080i	−0.999115	+	0.0420561i
$21$	5.71500	−	1.85239i	1.24712	−	0.404225i
$22$	−1.27139	−	0.191309i	−0.271061	−	0.0407872i
$23$	1.14508	−	1.98334i	0.238766	−	0.413555i	−0.721594	−	0.692316i	$-0.756590\pi$
$23$	1.14508	−	1.98334i	0.238766	−	0.413555i	0.960360	+	0.278761i	$0.0899238\pi$
$24$	−0.484714	−	6.40419i	−0.0989419	−	1.30725i
$25$	−4.66945	−	1.78780i	−0.933891	−	0.357559i
$26$	6.26323	+	4.99222i	1.22832	+	0.979055i
$27$	1.91628			0.368789
$28$	−5.29093	+	0.0779898i	−0.999891	+	0.0147387i
$29$			6.21463i			1.15403i	0.816734	+	0.577014i	$0.195782\pi$
$29$			6.21463i			1.15403i	−0.816734	+	0.577014i	$0.804218\pi$
$30$	2.34161	−	6.78805i	0.427518	−	1.23932i
$31$	−1.41914	−	2.45801i	−0.254884	−	0.441472i	0.709980	−	0.704222i	$-0.248704\pi$
$31$	−1.41914	−	2.45801i	−0.254884	−	0.441472i	−0.964864	+	0.262750i	$0.915371\pi$
$32$	−1.25194	+	5.51658i	−0.221313	+	0.975203i
$33$	1.03218	−	1.78779i	0.179679	−	0.311214i
$34$	8.80842	+	1.32542i	1.51063	+	0.227308i
$35$	−5.46510	−	2.26553i	−0.923771	−	0.382945i
$36$	4.12122	+	1.26899i	0.686869	+	0.211499i
$37$	−0.789609	+	1.36764i	−0.129811	+	0.224839i	−0.923603	−	0.383350i	$-0.874770\pi$
$37$	−0.789609	+	1.36764i	−0.129811	+	0.224839i	0.793792	+	0.608189i	$0.208104\pi$
$38$	−1.46873	+	0.576853i	−0.238259	+	0.0935779i
$39$	−11.1372	+	6.43005i	−1.78337	+	1.02963i
$40$	−3.73059	+	5.10713i	−0.589857	+	0.807507i
$41$			0.163067i			0.0254668i	0.999919	+	0.0127334i	$0.00405327\pi$
$41$			0.163067i			0.0254668i	−0.999919	+	0.0127334i	$0.995947\pi$
$42$	2.98907	−	7.95302i	0.461224	−	1.22718i
$43$			8.29346i			1.26474i	0.774666	+	0.632370i	$0.217918\pi$
$43$			8.29346i			1.26474i	−0.774666	+	0.632370i	$0.782082\pi$
$44$	−1.33226	+	1.23739i	−0.200846	+	0.186543i
$45$	3.66738	+	3.12950i	0.546701	+	0.466518i
$46$	−1.18401	−	3.01460i	−0.174572	−	0.444479i
$47$	−8.56191	−	4.94322i	−1.24888	−	0.721043i	−0.277996	−	0.960582i	$-0.589670\pi$
$47$	−8.56191	−	4.94322i	−1.24888	−	0.721043i	−0.970887	+	0.239540i	$0.923003\pi$
$48$	−7.50963	−	5.10909i	−1.08392	−	0.737433i
$49$	−6.39073	−	2.85631i	−0.912962	−	0.408045i
$50$	−6.09311	+	3.58803i	−0.861697	+	0.507424i
$51$	−7.15113	+	12.3861i	−1.00136	+	1.73440i
$52$	11.0417	−	2.52596i	1.53121	−	0.350288i
$53$	−2.56505	−	4.44280i	−0.352337	−	0.610266i	0.634321	−	0.773070i	$-0.281280\pi$
$53$	−2.56505	−	4.44280i	−0.352337	−	0.610266i	−0.986659	+	0.162803i	$0.947946\pi$
$54$	1.68916	−	2.11921i	0.229865	−	0.288388i
$55$	−1.91598	+	0.679417i	−0.258350	+	0.0916125i
$56$	−4.57757	+	5.91996i	−0.611703	+	0.791088i
$57$		−	2.53360i		−	0.335583i
$58$	6.87273	+	5.47803i	0.902433	+	0.719301i
$59$	9.97768	−	5.76061i	1.29898	−	0.749968i	0.318754	−	0.947837i	$-0.396736\pi$
$59$	9.97768	−	5.76061i	1.29898	−	0.749968i	0.980228	+	0.197869i	$0.0634022\pi$
$60$	−5.44281	−	8.57307i	−0.702663	−	1.10678i
$61$	0.977217	−	1.69259i	0.125120	−	0.216714i	−0.796660	−	0.604428i	$-0.793402\pi$
$61$	0.977217	−	1.69259i	0.125120	−	0.216714i	0.921780	+	0.387714i	$0.126735\pi$
$62$	−3.96924	−	0.597261i	−0.504094	−	0.0758522i
$63$	4.23650	+	3.82006i	0.533749	+	0.481283i
$64$	4.99721	+	6.24723i	0.624651	+	0.780904i
$65$	12.4529	+	2.30243i	1.54459	+	0.285581i
$66$	−1.06727	−	2.71737i	−0.131371	−	0.334485i
$67$	−6.09472	+	3.51879i	−0.744589	+	0.429889i	−0.823735	−	0.566974i	$-0.808114\pi$
$67$	−6.09472	+	3.51879i	−0.744589	+	0.429889i	0.0791464	+	0.996863i	$0.474781\pi$
$68$	9.23017	−	8.57286i	1.11932	−	1.03961i
$69$	5.20028			0.626040
$70$	−7.32279	+	4.04682i	−0.875241	+	0.483688i
$71$		−	0.811490i		−	0.0963061i	−0.998840	−	0.0481531i	$-0.984666\pi$
$71$		−	0.811490i		−	0.0963061i	0.998840	−	0.0481531i	$-0.0153335\pi$
$72$	5.03612	−	3.43905i	0.593512	−	0.405296i
$73$	−4.54031	−	7.86404i	−0.531403	−	0.920417i	−0.999328	−	0.0366487i	$-0.988332\pi$
$73$	−4.54031	−	7.86404i	−0.531403	−	0.920417i	0.467925	−	0.883768i	$-0.345002\pi$
$74$	0.816449	+	2.07877i	0.0949103	+	0.241652i
$75$	−1.78579	−	11.2122i	−0.206206	−	1.29467i
$76$	−0.656706	+	2.13274i	−0.0753294	+	0.244642i
$77$	−2.28813	+	0.741649i	−0.260757	+	0.0845187i
$78$	−2.70617	+	17.9845i	−0.306413	+	2.03634i
$79$	−9.82237	−	5.67095i	−1.10510	−	0.638031i	−0.167546	−	0.985864i	$-0.553584\pi$
$79$	−9.82237	−	5.67095i	−1.10510	−	0.638031i	−0.937557	+	0.347833i	$0.886918\pi$
$80$	2.35953	+	8.62743i	0.263804	+	0.964576i
$81$	5.40978	+	9.37001i	0.601086	+	1.04111i
$82$	0.180335	+	0.143739i	0.0199147	+	0.0158733i
$83$	7.80839			0.857082			0.428541	−	0.903522i	$-0.359028\pi$
$83$	7.80839			0.857082			0.428541	+	0.903522i	$0.359028\pi$
$84$	−6.16042	−	10.3160i	−0.672157	−	1.12557i
$85$	13.2742	−	4.70713i	1.43979	−	0.510560i
$86$	9.17169	+	7.31047i	0.989009	+	0.788308i
$87$	−12.2210	+	7.05578i	−1.31023	+	0.756459i
$88$	0.194067	+	2.56407i	0.0206876	+	0.273331i
$89$	12.4104	+	7.16517i	1.31550	+	0.759506i	0.983002	−	0.183597i	$-0.0587740\pi$
$89$	12.4104	+	7.16517i	1.31550	+	0.759506i	0.332502	+	0.943103i	$0.392107\pi$
$90$	6.69360	−	1.29717i	0.705567	−	0.136734i
$91$	14.6545	+	3.12589i	1.53621	+	0.327682i
$92$	−4.37750	−	1.34791i	−0.456386	−	0.140529i
$93$	3.22243	−	5.58142i	0.334151	−	0.578766i
$94$	−13.0138	+	5.11125i	−1.34227	+	0.527185i
$95$	−1.61952	+	1.89788i	−0.166159	+	0.194718i
$96$	−12.2697	+	3.80134i	−1.25227	+	0.387972i
$97$	−9.99774			−1.01512			−0.507558	−	0.861618i	$-0.669452\pi$
$97$	−9.99774			−1.01512			−0.507558	+	0.861618i	$0.669452\pi$
$98$	−8.79205	+	4.54972i	−0.888131	+	0.459591i
$99$	1.96016			0.197003
$100$	−1.40294	+	9.90110i	−0.140294	+	0.990110i
$101$	8.69267	+	15.0562i	0.864953	+	1.49814i	0.867093	+	0.498146i	$0.165985\pi$
$101$	8.69267	+	15.0562i	0.864953	+	1.49814i	−0.00214005	+	0.999998i	$0.500681\pi$
$102$	7.39422	+	18.8264i	0.732137	+	1.86410i
$103$	1.56602	+	0.904144i	0.154305	+	0.0890880i	0.575164	−	0.818038i	$-0.304938\pi$
$103$	1.56602	+	0.904144i	0.154305	+	0.0890880i	−0.420859	+	0.907126i	$0.638271\pi$
$104$	6.93956	−	14.4376i	0.680480	−	1.41572i
$105$	−1.74967	−	13.3192i	−0.170751	−	1.29982i
$106$	−7.17430	−	1.07953i	−0.696830	−	0.104854i
$107$	−3.08558	−	1.78146i	−0.298294	−	0.172220i	0.343382	−	0.939196i	$-0.388427\pi$
$107$	−3.08558	−	1.78146i	−0.298294	−	0.172220i	−0.641676	+	0.766976i	$0.721761\pi$
$108$	−0.854678	−	3.73606i	−0.0822414	−	0.359502i
$109$	1.72947	−	0.998508i	0.165653	−	0.0956398i	−0.414882	−	0.909875i	$-0.636177\pi$
$109$	1.72947	−	0.998508i	0.165653	−	0.0956398i	0.580534	+	0.814236i	$0.302844\pi$
$110$	−0.937519	+	2.71776i	−0.0893889	+	0.259128i
$111$	−3.58593			−0.340361
$112$	2.51185	+	10.2806i	0.237347	+	0.971425i
$113$		−	13.5251i		−	1.27234i	−0.771551	−	0.636168i	$-0.780519\pi$
$113$		−	13.5251i		−	1.27234i	0.771551	−	0.636168i	$-0.219481\pi$
$114$	−2.80189	−	2.23330i	−0.262421	−	0.209168i
$115$	−3.89545	−	3.32411i	−0.363253	−	0.309975i
$116$	12.1163	−	2.77177i	1.12497	−	0.257353i
$117$	−10.5750	−	6.10548i	−0.977659	−	0.564452i
$118$	2.42443	−	16.1121i	0.223186	−	1.48324i
$119$	15.8526	−	5.13828i	1.45321	−	0.471025i
$120$	−14.2786	−	1.53776i	−1.30345	−	0.140378i
$121$	5.08674	−	8.81050i	0.462431	−	0.800954i
$122$	−1.01044	−	2.57267i	−0.0914805	−	0.232919i
$123$	−0.320669	+	0.185138i	−0.0289137	+	0.0166933i
$124$	−4.15929	+	3.86309i	−0.373515	+	0.346916i
$125$	−5.82932	+	9.54039i	−0.521390	+	0.853318i
$126$	7.95895	−	1.31784i	0.709040	−	0.117403i
$127$	1.34956			0.119754			0.0598772	−	0.998206i	$-0.480929\pi$
$127$	1.34956			0.119754			0.0598772	+	0.998206i	$0.480929\pi$
$128$	11.3137	−	0.0196185i	0.999998	−	0.00173404i
$129$	−16.3090	+	9.41598i	−1.43592	+	0.829031i
$130$	13.5231	−	11.7421i	1.18606	−	1.02985i
$131$	−7.08950	−	4.09312i	−0.619412	−	0.357618i	0.157228	−	0.987562i	$-0.449744\pi$
$131$	−7.08950	−	4.09312i	−0.619412	−	0.357618i	−0.776640	+	0.629944i	$0.783078\pi$
$132$	−3.94589	−	1.21501i	−0.343446	−	0.105753i
$133$	−1.97689	+	2.19240i	−0.171418	+	0.190105i
$134$	−1.48093	+	9.84185i	−0.127933	+	0.850206i
$135$	0.779044	−	4.21353i	0.0670494	−	0.362643i
$136$	−1.34453	−	17.7644i	−0.115293	−	1.52328i
$137$	−4.43159	+	2.55858i	−0.378616	+	0.218594i	−0.677216	−	0.735784i	$-0.736814\pi$
$137$	−4.43159	+	2.55858i	−0.378616	+	0.218594i	0.298600	+	0.954378i	$0.403480\pi$
$138$	4.58391	−	5.75096i	0.390208	−	0.489554i
$139$		−	17.9166i		−	1.51967i	−0.650117	−	0.759834i	$-0.725280\pi$
$139$		−	17.9166i		−	1.51967i	0.650117	−	0.759834i	$-0.274720\pi$
$140$	−1.97948	+	11.6654i	−0.167297	+	0.985907i
$141$		−	22.4491i		−	1.89056i
$142$	−0.897422	−	0.715307i	−0.0753100	−	0.0600272i
$143$	4.45903	−	2.57442i	0.372883	−	0.215284i
$144$	0.635975	−	8.60085i	0.0529979	−	0.716737i
$145$	13.6647	+	2.52649i	1.13479	+	0.209813i
$146$	−12.6990	−	1.91084i	−1.05097	−	0.158143i
$147$	−1.63883	−	15.8102i	−0.135168	−	1.30400i
$148$	3.01857	+	0.929469i	0.248125	+	0.0764019i
$149$	−6.16993	−	3.56221i	−0.505460	−	0.291827i	0.225505	−	0.974242i	$-0.427597\pi$
$149$	−6.16993	−	3.56221i	−0.505460	−	0.291827i	−0.730965	+	0.682414i	$0.760930\pi$
$150$	−13.9736	−	7.90834i	−1.14094	−	0.645714i
$151$	2.46560	−	1.42352i	0.200648	−	0.115844i	−0.396310	−	0.918117i	$-0.629709\pi$
$151$	2.46560	−	1.42352i	0.200648	−	0.115844i	0.596958	+	0.802273i	$0.296376\pi$
$152$	1.77972	+	2.60620i	0.144354	+	0.211391i
$153$	−13.5803			−1.09790
$154$	−1.19674	+	3.18418i	−0.0964365	+	0.256589i
$155$	−5.98162	+	2.12112i	−0.480455	+	0.170372i
$156$	17.5035	+	18.8456i	1.40140	+	1.50885i
$157$	−11.4030	+	6.58353i	−0.910059	+	0.525423i	−0.880450	−	0.474139i	$-0.842760\pi$
$157$	−11.4030	+	6.58353i	−0.910059	+	0.525423i	−0.0296091	+	0.999562i	$0.509426\pi$
$158$	−14.9296	+	5.86372i	−1.18774	+	0.466492i
$159$	5.82447	−	10.0883i	0.461911	−	0.800053i
$160$	11.6209	+	4.99546i	0.918713	+	0.394926i
$161$	−4.49996	−	4.05762i	−0.354647	−	0.319785i
$162$	15.1308	+	2.27677i	1.18879	+	0.178880i
$163$	−14.9075	−	8.60684i	−1.16764	−	0.674139i	−0.214520	−	0.976720i	$-0.568819\pi$
$163$	−14.9075	−	8.60684i	−1.16764	−	0.674139i	−0.953124	+	0.302580i	$0.902152\pi$
$164$	0.317921	−	0.0727291i	0.0248255	−	0.00567919i
$165$	−3.51137	−	2.99636i	−0.273360	−	0.233266i
$166$	6.88289	−	8.63526i	0.534216	−	0.670226i
$167$		−	0.285811i		−	0.0221167i	−0.999939	−	0.0110584i	$-0.996480\pi$
$167$		−	0.285811i		−	0.0221167i	0.999939	−	0.0110584i	$-0.00352006\pi$
$168$	−16.8386	−	2.28049i	−1.29913	−	0.175943i
$169$	−19.0752			−1.46732
$170$	6.49531	−	18.8291i	0.498167	−	1.44413i
$171$	2.08341	−	1.20285i	0.159322	−	0.0919846i
$172$	16.1692	−	3.69895i	1.23289	−	0.282042i
$173$	16.6842	+	9.63264i	1.26848	+	0.732356i	0.974700	−	0.223518i	$-0.0717541\pi$
$173$	16.6842	+	9.63264i	1.26848	+	0.732356i	0.293778	+	0.955874i	$0.405087\pi$
$174$	−2.96951	+	19.7346i	−0.225118	+	1.49608i
$175$	−7.20323	+	11.0956i	−0.544513	+	0.838752i
$176$	3.00666	+	2.04554i	0.226635	+	0.154189i
$177$	22.6563	+	13.0806i	1.70295	+	0.983200i
$178$	18.8634	−	7.40873i	1.41387	−	0.555308i
$179$	0.701703	+	1.21539i	0.0524478	+	0.0908422i	0.891057	−	0.453891i	$-0.149964\pi$
$179$	0.701703	+	1.21539i	0.0524478	+	0.0908422i	−0.838610	+	0.544733i	$0.816631\pi$
$180$	4.46569	−	8.54584i	0.332853	−	0.636969i
$181$	−15.3818			−1.14332			−0.571660	−	0.820491i	$-0.693700\pi$
$181$	−15.3818			−1.14332			−0.571660	+	0.820491i	$0.693700\pi$
$182$	16.3745	−	13.4510i	1.21376	−	0.997053i
$183$	4.43794			0.328062
$184$	−5.34930	+	3.65292i	−0.394356	+	0.269297i
$185$	2.68617	+	2.29219i	0.197491	+	0.168525i
$186$	−3.33197	−	8.48354i	−0.244312	−	0.622044i
$187$	2.86312	−	4.95908i	0.209372	−	0.362644i
$188$	−5.81880	+	18.8973i	−0.424379	+	1.37823i
$189$	1.05767	−	4.95847i	0.0769339	−	0.360675i
$190$	0.671291	+	3.46395i	0.0487005	+	0.251302i
$191$	19.4587	+	11.2345i	1.40798	+	0.812898i	0.995193	−	0.0979302i	$-0.0312222\pi$
$191$	19.4587	+	11.2345i	1.40798	+	0.812898i	0.412787	+	0.910828i	$0.364556\pi$
$192$	−6.61150	+	16.9197i	−0.477144	+	1.22108i
$193$	14.3435	−	8.28125i	1.03247	−	0.596097i	0.114779	−	0.993391i	$-0.463384\pi$
$193$	14.3435	−	8.28125i	1.03247	−	0.596097i	0.917691	+	0.397294i	$0.130051\pi$
$194$	−8.81274	+	11.0564i	−0.632718	+	0.793807i
$195$	9.61071	+	27.1025i	0.688237	+	1.94085i
$196$	−2.71845	+	13.7335i	−0.194175	+	0.980967i
$197$	−16.1344			−1.14953			−0.574765	−	0.818318i	$-0.694907\pi$
$197$	−16.1344			−1.14953			−0.574765	+	0.818318i	$0.694907\pi$
$198$	1.72783	−	2.16773i	0.122791	−	0.154054i
$199$	10.9134	+	18.9025i	0.773629	+	1.33996i	0.935562	+	0.353163i	$0.114894\pi$
$199$	10.9134	+	18.9025i	0.773629	+	1.33996i	−0.161933	+	0.986802i	$0.551773\pi$
$200$	9.71293	+	10.2791i	0.686808	+	0.726839i
$201$	−13.8393	−	7.99012i	−0.976149	−	0.563580i
$202$	24.3129	+	3.65842i	1.71065	+	0.257405i
$203$	16.0806	+	3.43008i	1.12864	+	0.240744i
$204$	27.3379	+	8.41779i	1.91403	+	0.589363i
$205$	0.358552	+	0.0662930i	0.0250423	+	0.00463011i
$206$	2.38030	−	0.934878i	0.165843	−	0.0651361i
$207$	2.46889	+	4.27624i	0.171600	+	0.297219i
$208$	−9.84941	−	20.4008i	−0.682934	−	1.41454i
$209$			1.01439i			0.0701665i
$210$	−16.2719	−	9.80559i	−1.12287	−	0.676650i
$211$	−9.76612			−0.672328			−0.336164	−	0.941804i	$-0.609130\pi$
$211$	−9.76612			−0.672328			−0.336164	+	0.941804i	$0.609130\pi$
$212$	−7.51781	+	6.98245i	−0.516326	+	0.479556i
$213$	1.59578	−	0.921325i	0.109341	−	0.0631282i
$214$	−4.68997	+	1.84202i	−0.320599	+	0.125918i
$215$	18.2357	+	3.37161i	1.24366	+	0.229942i
$216$	−4.88506	−	2.34805i	−0.332386	−	0.159765i
$217$	−7.14348	+	2.31540i	−0.484931	+	0.157180i
$218$	0.420235	−	2.79277i	0.0284619	−	0.189150i
$219$	10.3097	−	17.8569i	0.696664	−	1.20666i
$220$	2.17916	+	3.43243i	0.146919	+	0.231414i
$221$	−30.8930	+	17.8361i	−2.07809	+	1.19978i
$222$	−3.16090	+	3.96566i	−0.212146	+	0.266158i
$223$		−	17.6951i		−	1.18495i	−0.805589	−	0.592474i	$-0.798151\pi$
$223$		−	17.6951i		−	1.18495i	0.805589	−	0.592474i	$-0.201849\pi$
$224$	13.5834	+	6.28424i	0.907578	+	0.419883i
$225$	8.37207	−	6.79159i	0.558138	−	0.452772i
$226$	−14.9574	−	11.9220i	−0.994948	−	0.793042i
$227$	8.76537	+	15.1821i	0.581778	+	1.00767i	0.995269	+	0.0971611i	$0.0309762\pi$
$227$	8.76537	+	15.1821i	0.581778	+	1.00767i	−0.413490	+	0.910509i	$0.635690\pi$
$228$	−4.93959	+	1.13000i	−0.327132	+	0.0748364i
$229$	3.45967	−	5.99232i	0.228621	−	0.395984i	−0.728778	−	0.684750i	$-0.759912\pi$
$229$	3.45967	−	5.99232i	0.228621	−	0.395984i	0.957400	+	0.288766i	$0.0932449\pi$
$230$	−7.10986	+	1.37784i	−0.468810	+	0.0908522i
$231$	−4.05627	−	3.65755i	−0.266883	−	0.240649i
$232$	7.61487	−	15.8426i	0.499941	−	1.04011i
$233$	−3.78953	−	2.18788i	−0.248260	−	0.143333i	0.370707	−	0.928750i	$-0.379115\pi$
$233$	−3.78953	−	2.18788i	−0.248260	−	0.143333i	−0.618967	+	0.785417i	$0.712449\pi$
$234$	−16.0736	+	6.31302i	−1.05076	+	0.412695i
$235$	−14.3499	+	16.8163i	−0.936084	+	1.09698i
$236$	−15.6812	−	16.8835i	−1.02076	−	1.09903i
$237$		−	25.7540i		−	1.67291i
$238$	8.29127	−	22.0606i	0.537443	−	1.42998i
$239$		−	14.1535i		−	0.915511i	−0.889078	−	0.457756i	$-0.848653\pi$
$239$		−	14.1535i		−	0.915511i	0.889078	−	0.457756i	$-0.151347\pi$
$240$	−14.2868	+	14.4351i	−0.922210	+	0.931784i
$241$	13.4126	−	7.74379i	0.863984	−	0.498821i	−0.00136057	−	0.999999i	$-0.500433\pi$
$241$	13.4126	−	7.74379i	0.863984	−	0.498821i	0.865344	+	0.501178i	$0.167100\pi$
$242$	−5.25965	−	13.3916i	−0.338103	−	0.860846i
$243$	−9.40956	+	16.2978i	−0.603624	+	1.04551i
$244$	−3.73578	−	1.15031i	−0.239159	−	0.0736410i
$245$	−8.87855	+	12.8907i	−0.567229	+	0.823560i
$246$	−0.0779177	+	0.517820i	−0.00496785	+	0.0330150i
$247$	3.15960	−	5.47259i	0.201041	−	0.348213i
$248$	0.605870	+	8.00495i	0.0384728	+	0.508315i
$249$	8.86526	+	15.3551i	0.561813	+	0.973088i
$250$	5.41228	+	14.8562i	0.342302	+	0.939590i
$251$			6.13020i			0.386935i	0.981107	+	0.193467i	$0.0619734\pi$
$251$			6.13020i			0.386935i	−0.981107	+	0.193467i	$0.938027\pi$
$252$	5.55821	−	9.96341i	0.350135	−	0.627636i
$253$	−2.08205			−0.130898
$254$	1.18961	−	1.49248i	0.0746425	−	0.0936463i
$255$	24.3274	+	20.7594i	1.52344	+	1.30000i
$256$	9.95103	−	12.5290i	0.621939	−	0.783066i
$257$	3.21050	−	5.56075i	0.200266	−	0.346870i	−0.748348	−	0.663306i	$-0.769153\pi$
$257$	3.21050	−	5.56075i	0.200266	−	0.346870i	0.948614	+	0.316436i	$0.102486\pi$
$258$	−3.96283	+	26.3359i	−0.246715	+	1.63960i
$259$	3.10302	+	2.79800i	0.192812	+	0.173859i
$260$	−1.06519	−	25.3055i	−0.0660604	−	1.56938i
$261$	−11.6041	−	6.69962i	−0.718275	−	0.414696i
$262$	−10.7758	+	4.23226i	−0.665729	+	0.261470i
$263$	−3.23009	−	5.59468i	−0.199176	−	0.344983i	0.749086	−	0.662473i	$-0.230493\pi$
$263$	−3.23009	−	5.59468i	−0.199176	−	0.344983i	−0.948261	+	0.317491i	$0.897160\pi$
$264$	−4.82187	+	3.29275i	−0.296766	+	0.202655i
$265$	−10.8116	+	3.83387i	−0.664154	+	0.235513i
$266$	0.681987	+	4.11878i	0.0418153	+	0.252539i
$267$			32.5399i			1.99141i
$268$	9.57865	+	10.3131i	0.585109	+	0.629972i
$269$	−0.755340	−	1.30829i	−0.0460539	−	0.0797677i	0.842080	−	0.539353i	$-0.181331\pi$
$269$	−0.755340	−	1.30829i	−0.0460539	−	0.0797677i	−0.888133	+	0.459586i	$0.847998\pi$
$270$	−3.97301	−	4.57566i	−0.241790	−	0.278466i
$271$	−8.66274	+	15.0043i	−0.526224	+	0.911447i	0.473309	+	0.880896i	$0.343059\pi$
$271$	−8.66274	+	15.0043i	−0.526224	+	0.911447i	−0.999533	+	0.0305504i	$0.990274\pi$
$272$	−20.8307	−	14.1719i	−1.26305	−	0.859298i
$273$	10.4910	+	32.3669i	0.634945	+	1.95893i
$274$	−1.07681	+	7.15619i	−0.0650524	+	0.432321i
$275$	0.714984	+	4.48906i	0.0431152	+	0.270701i
$276$	−2.31936	−	10.1386i	−0.139609	−	0.610274i
$277$	5.77685	+	10.0058i	0.347097	+	0.601190i	0.985733	−	0.168319i	$-0.0538340\pi$
$277$	5.77685	+	10.0058i	0.347097	+	0.601190i	−0.638635	+	0.769510i	$0.720501\pi$
$278$	−19.8139	−	15.7930i	−1.18836	−	0.947203i
$279$	6.11954			0.366368
$280$	11.1559	+	12.4718i	0.666690	+	0.745336i
$281$	16.6526			0.993408			0.496704	−	0.867920i	$-0.334543\pi$
$281$	16.6526			0.993408			0.496704	+	0.867920i	$0.334543\pi$
$282$	−24.8264	−	19.7883i	−1.47839	−	1.17838i
$283$	−11.3769	−	19.7053i	−0.676285	−	1.17136i	−0.976091	−	0.217360i	$-0.930255\pi$
$283$	−11.3769	−	19.7053i	−0.676285	−	1.17136i	0.299806	−	0.954000i	$-0.403078\pi$
$284$	−1.58211	+	0.361931i	−0.0938809	+	0.0214766i
$285$	−5.57088	−	1.03001i	−0.329990	−	0.0610123i
$286$	1.08348	−	7.20050i	0.0640673	−	0.425775i
$287$	0.421942	+	0.0900025i	0.0249065	+	0.00531268i
$288$	−8.95104	−	8.28474i	−0.527445	−	0.488183i
$289$	−11.3363	+	19.6350i	−0.666839	+	1.15500i
$290$	14.8391	−	12.8847i	0.871384	−	0.756617i
$291$	−11.3509	−	19.6604i	−0.665404	−	1.15251i
$292$	−13.3070	+	12.3594i	−0.778733	+	0.723277i
$293$		−	8.66311i		−	0.506104i	−0.967453	−	0.253052i	$-0.918566\pi$
$293$		−	8.66311i		−	0.506104i	0.967453	−	0.253052i	$-0.0814344\pi$
$294$	−18.9290	−	12.1239i	−1.10396	−	0.707080i
$295$	−8.61013	−	24.2808i	−0.501301	−	1.41368i
$296$	3.68869	−	2.51892i	0.214401	−	0.146409i
$297$	−0.871075	−	1.50875i	−0.0505449	−	0.0875463i
$298$	−9.37806	+	3.68330i	−0.543256	+	0.213368i
$299$	11.2326	+	6.48516i	0.649600	+	0.375047i
$300$	−21.0632	+	8.48236i	−1.21608	+	0.489730i
$301$	21.4597	+	4.57746i	1.23691	+	0.263840i
$302$	0.599105	−	3.98149i	0.0344746	−	0.229109i
$303$	−19.7385	+	34.1880i	−1.13395	+	1.96405i
$304$	4.45096	+	0.329119i	0.255280	+	0.0188762i
$305$	−3.32439	−	2.83681i	−0.190354	−	0.162435i
$306$	−11.9707	+	15.0184i	−0.684319	+	0.858546i
$307$	11.6862			0.666967			0.333484	−	0.942756i	$-0.391776\pi$
$307$	11.6862			0.666967			0.333484	+	0.942756i	$0.391776\pi$
$308$	2.46647	+	4.13025i	0.140540	+	0.235343i
$309$			4.10608i			0.233587i
$310$	−2.92691	+	8.48475i	−0.166237	+	0.481902i
$311$	−5.66670	−	9.81500i	−0.321329	−	0.556558i	0.659434	−	0.751763i	$-0.270796\pi$
$311$	−5.66670	−	9.81500i	−0.321329	−	0.556558i	−0.980762	+	0.195205i	$0.937463\pi$
$312$	36.2701	−	2.74518i	2.05339	−	0.155415i
$313$	−12.7012	+	21.9992i	−0.717916	+	1.24347i	0.243908	+	0.969798i	$0.421570\pi$
$313$	−12.7012	+	21.9992i	−0.717916	+	1.24347i	−0.961824	+	0.273668i	$0.911763\pi$
$314$	−2.77076	+	18.4137i	−0.156363	+	1.03915i
$315$	10.1219	−	7.76222i	0.570302	−	0.437352i
$316$	−6.67542	+	21.6793i	−0.375522	+	1.21956i
$317$	11.9131	−	20.6342i	0.669109	−	1.15893i	−0.309045	−	0.951048i	$-0.600009\pi$
$317$	11.9131	−	20.6342i	0.669109	−	1.15893i	0.978154	−	0.207883i	$-0.0666574\pi$
$318$	−6.02246	−	15.3338i	−0.337723	−	0.859877i
$319$	4.89295	−	2.82495i	0.273953	−	0.158167i
$320$	15.7680	−	8.44813i	0.881457	−	0.472265i
$321$		−	8.09033i		−	0.451558i
$322$	−8.45390	+	1.39980i	−0.471118	+	0.0780076i
$323$		−	7.02785i		−	0.391040i
$324$	15.8553	−	14.7262i	0.880850	−	0.818122i
$325$	10.1252	−	26.4454i	0.561643	−	1.46693i
$326$	−22.6588	+	8.89941i	−1.25496	+	0.492893i
$327$	3.92710	+	2.26731i	0.217169	+	0.125383i
$328$	0.199808	−	0.415696i	0.0110326	−	0.0229530i
$329$	−17.5164	+	19.4259i	−0.965711	+	1.07099i
$330$	−6.40884	+	1.24199i	−0.352795	+	0.0683693i
$331$	−2.35173	+	4.07331i	−0.129263	+	0.223889i	−0.923391	−	0.383861i	$-0.874594\pi$
$331$	−2.35173	+	4.07331i	−0.129263	+	0.223889i	0.794129	+	0.607750i	$0.207928\pi$
$332$	−3.48260	−	15.2235i	−0.191133	−	0.835498i
$333$	−1.70246	−	2.94875i	−0.0932943	−	0.161590i
$334$	−0.316077	−	0.251935i	−0.0172950	−	0.0137853i
$335$	5.25938	+	14.8316i	0.287351	+	0.810337i
$336$	−17.3648	+	16.6116i	−0.947328	+	0.906236i
$337$		−	10.0355i		−	0.546669i	−0.961919	−	0.273335i	$-0.911873\pi$
$337$		−	10.0355i		−	0.546669i	0.961919	−	0.273335i	$-0.0881267\pi$
$338$	−16.8143	+	21.0951i	−0.914575	+	1.14742i
$339$	26.5969	−	15.3557i	1.44455	−	0.834009i
$340$	−15.0976	−	23.7805i	−0.818782	−	1.28968i
$341$	−1.29018	+	2.23465i	−0.0698670	+	0.121013i
$342$	0.506236	−	3.36431i	0.0273741	−	0.181921i
$343$	−10.9181	+	14.9598i	−0.589522	+	0.807752i
$344$	10.1621	−	21.1420i	0.547903	−	1.13990i
$345$	2.11411	−	11.4344i	0.113820	−	0.615606i
$346$	25.3594	−	9.96008i	1.36333	−	0.535457i
$347$	6.86288	−	3.96228i	0.368418	−	0.212706i	−0.304349	−	0.952561i	$-0.598439\pi$
$347$	6.86288	−	3.96228i	0.368418	−	0.212706i	0.672767	+	0.739854i	$0.265106\pi$
$348$	19.2068	+	20.6795i	1.02960	+	1.10854i
$349$	−6.06729			−0.324775			−0.162387	−	0.986727i	$-0.551919\pi$
$349$	−6.06729			−0.324775			−0.162387	+	0.986727i	$0.551919\pi$
$350$	5.92116	+	17.7465i	0.316500	+	0.948593i
$351$			10.8529i			0.579283i
$352$	4.91245	−	1.52195i	0.261834	−	0.0811205i
$353$	17.3298	+	30.0161i	0.922371	+	1.59759i	0.795735	+	0.605644i	$0.207085\pi$
$353$	17.3298	+	30.0161i	0.922371	+	1.59759i	0.126636	+	0.991949i	$0.459582\pi$
$354$	34.4368	−	13.5253i	1.83029	−	0.718860i
$355$	−1.78430	−	0.329902i	−0.0947010	−	0.0175094i
$356$	8.43431	−	27.3915i	0.447018	−	1.45175i
$357$	28.1026	+	25.3402i	1.48735	+	1.34115i
$358$	1.96262	+	0.295321i	0.103728	+	0.0156082i
$359$	−4.46664	−	2.57881i	−0.235740	−	0.136105i	0.377477	−	0.926019i	$-0.376792\pi$
$359$	−4.46664	−	2.57881i	−0.235740	−	0.136105i	−0.613217	+	0.789914i	$0.710125\pi$
$360$	−5.51441	−	12.4715i	−0.290635	−	0.657307i
$361$	−8.87752	−	15.3763i	−0.467238	−	0.809280i
$362$	−13.5587	+	17.0107i	−0.712627	+	0.894060i
$363$	23.1009			1.21248
$364$	−0.441695	−	29.9651i	−0.0231511	−	1.57060i
$365$	−19.1373	+	6.78619i	−1.00169	+	0.355206i
$366$	3.91192	−	4.90789i	0.204480	−	0.256540i
$367$	−12.5217	+	7.22938i	−0.653625	+	0.377371i	−0.789844	−	0.613308i	$-0.789838\pi$
$367$	−12.5217	+	7.22938i	−0.653625	+	0.377371i	0.136218	+	0.990679i	$0.456505\pi$
$368$	−0.675524	+	9.13571i	−0.0352141	+	0.476232i
$369$	−0.304482	−	0.175793i	−0.0158507	−	0.00915141i
$370$	4.90271	−	0.950112i	0.254880	−	0.0493939i
$371$	−12.9117	+	4.18504i	−0.670341	+	0.217276i
$372$	−12.3190	−	3.79321i	−0.638708	−	0.196669i
$373$	−3.13591	+	5.43156i	−0.162372	+	0.281236i	−0.935719	−	0.352747i	$-0.885248\pi$
$373$	−3.13591	+	5.43156i	−0.162372	+	0.281236i	0.773347	+	0.633983i	$0.218581\pi$
$374$	−2.96045	−	7.53761i	−0.153081	−	0.389761i
$375$	−25.3793	−	0.631584i	−1.31058	−	0.0326148i
$376$	15.7693	+	23.0925i	0.813241	+	1.19090i
$377$	−35.1965			−1.81271
$378$	−4.55124	−	5.54043i	−0.234090	−	0.284969i
$379$	−24.4959			−1.25827			−0.629135	−	0.777296i	$-0.716591\pi$
$379$	−24.4959			−1.25827			−0.629135	+	0.777296i	$0.716591\pi$
$380$	4.42249	+	2.31101i	0.226869	+	0.118552i
$381$	1.53223	+	2.65390i	0.0784984	+	0.135963i
$382$	29.5764	−	11.6164i	1.51326	−	0.594345i
$383$	7.48398	+	4.32088i	0.382413	+	0.220786i	0.678868	−	0.734261i	$-0.262471\pi$
$383$	7.48398	+	4.32088i	0.382413	+	0.220786i	−0.296454	+	0.955047i	$0.595804\pi$
$384$	12.8836	+	22.2259i	0.657463	+	1.13421i
$385$	0.700523	+	5.33266i	0.0357019	+	0.271778i
$386$	3.48526	−	23.1621i	0.177395	−	1.17892i
$387$	−15.4857	−	8.94069i	−0.787184	−	0.454481i
$388$	4.45907	+	19.4919i	0.226375	+	0.989553i
$389$	−8.34342	+	4.81708i	−0.423028	+	0.244235i	−0.696372	−	0.717681i	$-0.745204\pi$
$389$	−8.34342	+	4.81708i	−0.423028	+	0.244235i	0.273344	+	0.961916i	$0.411870\pi$
$390$	38.4441	+	13.2617i	1.94669	+	0.671532i
$391$	14.4249			0.729496
$392$	12.7916	+	15.1121i	0.646074	+	0.763275i
$393$		−	18.5885i		−	0.937667i
$394$	−14.2221	+	17.8430i	−0.716498	+	0.898916i
$395$	−16.4625	+	19.2920i	−0.828316	+	0.970685i
$396$	−0.874245	−	3.82159i	−0.0439325	−	0.192042i
$397$	13.5336	+	7.81361i	0.679230	+	0.392154i	0.799565	−	0.600580i	$-0.205063\pi$
$397$	13.5336	+	7.81361i	0.679230	+	0.392154i	−0.120335	+	0.992733i	$0.538397\pi$
$398$	30.5241	+	4.59303i	1.53003	+	0.230228i
$399$	−6.55579	−	1.39838i	−0.328200	−	0.0700068i
$400$	19.9293	−	1.68075i	0.996463	−	0.0840377i
$401$	−13.4230	+	23.2493i	−0.670311	+	1.16101i	0.307505	+	0.951546i	$0.400506\pi$
$401$	−13.4230	+	23.2493i	−0.670311	+	1.16101i	−0.977816	+	0.209466i	$0.932827\pi$
$402$	−21.0352	+	8.26173i	−1.04914	+	0.412057i
$403$	13.9209	−	8.03726i	0.693452	−	0.400365i
$404$	25.4770	−	23.6627i	1.26753	−	1.17726i
$405$	22.8021	−	8.08575i	1.13304	−	0.401784i
$406$	17.9679	−	14.7599i	0.891734	−	0.732523i
$407$	1.43571			0.0711656
$408$	33.4068	−	22.8128i	1.65388	−	1.12940i
$409$	9.54259	−	5.50941i	0.471850	−	0.272423i	−0.245164	−	0.969482i	$-0.578842\pi$
$409$	9.54259	−	5.50941i	0.471850	−	0.272423i	0.717014	+	0.697059i	$0.245508\pi$
$410$	0.389367	−	0.338085i	0.0192295	−	0.0166968i
$411$	−10.0628	−	5.80976i	−0.496362	−	0.286574i
$412$	1.06429	−	3.45643i	0.0524339	−	0.170286i
$413$	−9.39878	−	28.9971i	−0.462484	−	1.42686i
$414$	6.90534	+	1.03906i	0.339379	+	0.0510672i
$415$	3.17441	−	17.1691i	0.155826	−	0.842797i
$416$	−31.2431	−	7.09034i	−1.53182	−	0.347632i
$417$	35.2327	−	20.3416i	1.72536	−	0.996134i
$418$	1.12180	+	0.894154i	0.0548692	+	0.0437345i
$419$		−	5.97226i		−	0.291764i	−0.989302	−	0.145882i	$-0.953398\pi$
$419$		−	5.97226i		−	0.291764i	0.989302	−	0.145882i	$-0.0466020\pi$
$420$	−25.1872	+	9.35170i	−1.22901	+	0.456316i
$421$		−	20.0534i		−	0.977344i	−0.872468	−	0.488672i	$-0.837482\pi$
$421$		−	20.0534i		−	0.977344i	0.872468	−	0.488672i	$-0.162518\pi$
$422$	−8.60858	+	10.8003i	−0.419059	+	0.525751i
$423$	18.4602	−	10.6580i	0.897564	−	0.518209i
$424$	1.09510	+	14.4688i	0.0531826	+	0.702665i
$425$	−4.95354	−	31.1010i	−0.240282	−	1.50862i
$426$	0.387751	−	2.57689i	0.0187866	−	0.124851i
$427$	−3.84028	−	3.46279i	−0.185844	−	0.167576i
$428$	−2.09700	+	6.81030i	−0.101363	+	0.329188i
$429$	10.1251	+	5.84574i	0.488845	+	0.282235i
$430$	19.8029	−	17.1947i	0.954981	−	0.829204i
$431$	21.7452	−	12.5546i	1.04743	−	0.604734i	0.125501	−	0.992093i	$-0.459946\pi$
$431$	21.7452	−	12.5546i	1.04743	−	0.604734i	0.921929	+	0.387359i	$0.126613\pi$
$432$	−6.90275	+	3.33262i	−0.332109	+	0.160341i
$433$	15.4250			0.741276			0.370638	−	0.928777i	$-0.379139\pi$
$433$	15.4250			0.741276			0.370638	+	0.928777i	$0.379139\pi$
$434$	−3.73620	+	9.94091i	−0.179343	+	0.477179i
$435$	10.5460	+	29.7399i	0.505640	+	1.42592i
$436$	−2.71808	−	2.92649i	−0.130173	−	0.140153i
$437$	−2.21297	+	1.27766i	−0.105861	+	0.0611186i
$438$	−10.6601	−	27.1418i	−0.509361	−	1.29689i
$439$	−8.54597	+	14.8021i	−0.407877	+	0.706464i	−0.994652	−	0.103287i	$-0.967064\pi$
$439$	−8.54597	+	14.8021i	−0.407877	+	0.706464i	0.586775	+	0.809750i	$0.300397\pi$
$440$	5.71678	+	0.615679i	0.272537	+	0.0293514i
$441$	12.2228	−	8.85369i	0.582040	−	0.421605i
$442$	−7.50653	+	49.8864i	−0.357049	+	2.37286i
$443$	−34.3644	−	19.8403i	−1.63270	−	0.942640i	−0.983256	−	0.182231i	$-0.941668\pi$
$443$	−34.3644	−	19.8403i	−1.63270	−	0.942640i	−0.649445	−	0.760409i	$-0.724999\pi$
$444$	1.59935	+	6.99125i	0.0759019	+	0.331790i
$445$	20.8001	−	24.3752i	0.986019	−	1.15549i
$446$	−19.5689	−	15.5977i	−0.926613	−	0.738574i
$447$		−	16.1774i		−	0.765166i
$448$	18.9231	−	9.48241i	0.894033	−	0.448002i
$449$	−7.32288			−0.345588			−0.172794	−	0.984958i	$-0.555279\pi$
$449$	−7.32288			−0.345588			−0.172794	+	0.984958i	$0.555279\pi$
$450$	−0.131020	−	15.2452i	−0.00617633	−	0.718668i
$451$	0.128387	−	0.0741244i	0.00604552	−	0.00349038i
$452$	−26.3690	+	6.03231i	−1.24030	+	0.283736i
$453$	5.59865	+	3.23238i	0.263048	+	0.151871i
$454$	24.5162	+	3.68902i	1.15060	+	0.173134i
$455$	12.8308	−	30.9516i	0.601519	−	1.45103i
$456$	−3.10445	+	6.45874i	−0.145379	+	0.302458i
$457$	−21.0598	−	12.1589i	−0.985137	−	0.568769i	−0.0813202	−	0.996688i	$-0.525914\pi$
$457$	−21.0598	−	12.1589i	−0.985137	−	0.568769i	−0.903817	+	0.427919i	$0.859247\pi$
$458$	−3.57727	−	9.10810i	−0.167155	−	0.425594i
$459$	6.03497	+	10.4529i	0.281688	+	0.487898i
$460$	−4.74340	+	9.07728i	−0.221162	+	0.423231i
$461$	16.3772			0.762764			0.381382	−	0.924417i	$-0.375448\pi$
$461$	16.3772			0.762764			0.381382	+	0.924417i	$0.375448\pi$
$462$	−7.62037	+	1.26178i	−0.354532	+	0.0587033i
$463$	1.64446			0.0764246			0.0382123	−	0.999270i	$-0.487834\pi$
$463$	1.64446			0.0764246			0.0382123	+	0.999270i	$0.487834\pi$
$464$	−10.8079	−	22.3860i	−0.501744	−	1.03925i
$465$	−10.9624	−	9.35455i	−0.508368	−	0.433807i
$466$	−5.75994	+	2.26226i	−0.266824	+	0.104797i
$467$	−7.96501	+	13.7958i	−0.368577	+	0.638393i	−0.989343	−	0.145602i	$-0.953488\pi$
$467$	−7.96501	+	13.7958i	−0.368577	+	0.638393i	0.620767	+	0.783995i	$0.286821\pi$
$468$	−7.18692	+	23.3405i	−0.332216	+	1.07891i
$469$	5.74112	+	17.7125i	0.265100	+	0.817887i
$470$	5.94802	+	30.6926i	0.274362	+	1.41575i
$471$	−25.8928	−	14.9492i	−1.19308	−	0.688824i
$472$	−32.4940	+	2.45937i	−1.49566	+	0.113202i
$473$	6.52967	−	3.76991i	0.300235	−	0.173341i
$474$	−28.4813	−	22.7015i	−1.30819	−	1.04272i
$475$	3.51466	+	4.33257i	0.161264	+	0.198792i
$476$	−17.0882	−	28.6151i	−0.783235	−	1.31157i
$477$	11.0609			0.506445
$478$	−15.6522	−	12.4759i	−0.715917	−	0.570635i
$479$	−13.4844	−	23.3556i	−0.616116	−	1.06714i	−0.990188	−	0.139745i	$-0.955372\pi$
$479$	−13.4844	−	23.3556i	−0.616116	−	1.06714i	0.374071	−	0.927400i	$-0.377962\pi$
$480$	3.37029	+	28.5239i	0.153832	+	1.30193i
$481$	−7.74563	−	4.47194i	−0.353170	−	0.203903i
$482$	3.25907	−	21.6589i	0.148447	−	0.986536i
$483$	2.87022	−	13.4559i	0.130599	−	0.612266i
$484$	−19.4460	−	5.98774i	−0.883908	−	0.272170i
$485$	−4.06447	+	21.9830i	−0.184558	+	0.998198i
$486$	9.72942	+	24.7721i	0.441335	+	1.12369i
$487$	6.04240	+	10.4658i	0.273808	+	0.474249i	0.969834	−	0.243768i	$-0.0783835\pi$
$487$	6.04240	+	10.4658i	0.273808	+	0.474249i	−0.696026	+	0.718017i	$0.745050\pi$
$488$	−4.56511	+	3.11741i	−0.206653	+	0.141119i
$489$		−	39.0871i		−	1.76758i
$490$	6.42961	+	21.1816i	0.290460	+	0.956887i
$491$	18.7339			0.845450			0.422725	−	0.906258i	$-0.361074\pi$
$491$	18.7339			0.845450			0.422725	+	0.906258i	$0.361074\pi$
$492$	0.503973	+	0.542614i	0.0227208	+	0.0244629i
$493$	−33.8993	+	19.5718i	−1.52675	+	0.881468i
$494$	−3.26700	−	8.31813i	−0.146989	−	0.374250i
$495$	0.796879	−	4.30999i	0.0358171	−	0.193720i
$496$	9.38669	+	6.38612i	0.421475	+	0.286745i
$497$	−2.09976	−	0.447890i	−0.0941872	−	0.0200906i
$498$	24.7956	+	3.73105i	1.11112	+	0.167192i
$499$	12.4806	−	21.6171i	0.558710	−	0.967714i	−0.438895	−	0.898539i	$-0.644630\pi$
$499$	12.4806	−	21.6171i	0.558710	−	0.967714i	0.997605	−	0.0691754i	$-0.0220368\pi$
$500$	21.2002	+	7.10996i	0.948102	+	0.317967i
$501$	0.562043	−	0.324496i	0.0251102	−	0.0144974i
$502$	6.77936	+	5.40361i	0.302578	+	0.241175i
$503$			13.3328i			0.594481i	0.954803	+	0.297241i	$0.0960663\pi$
$503$			13.3328i			0.594481i	−0.954803	+	0.297241i	$0.903934\pi$
$504$	−6.11907	−	14.9293i	−0.272565	−	0.665003i
$505$	36.6394	−	12.9926i	1.63043	−	0.578161i
$506$	−1.83527	+	2.30253i	−0.0815879	+	0.102360i
$507$	−21.6570	−	37.5110i	−0.961821	−	1.66592i
$508$	−0.601916	−	2.63116i	−0.0267057	−	0.116739i
$509$	−3.32935	+	5.76661i	−0.147571	+	0.255600i	−0.930329	−	0.366726i	$-0.880479\pi$
$509$	−3.32935	+	5.76661i	−0.147571	+	0.255600i	0.782758	+	0.622326i	$0.213812\pi$
$510$	44.4016	−	8.60473i	1.96614	−	0.381024i
$511$	−22.8545	+	7.40778i	−1.01102	+	0.327701i
$512$	−5.08424	−	22.0488i	−0.224694	−	0.974429i
$513$	−1.85169	−	1.06907i	−0.0817542	−	0.0472008i
$514$	−3.31963	−	8.45213i	−0.146423	−	0.372808i
$515$	2.62468	−	3.07580i	0.115657	−	0.135536i
$516$	25.6317	+	27.5969i	1.12837	+	1.21489i
$517$			8.98804i			0.395294i
$518$	5.82952	−	0.965251i	0.256134	−	0.0424107i
$519$			43.7457i			1.92022i
$520$	−28.9242	−	21.1281i	−1.26841	−	0.926531i
$521$	6.14654	−	3.54871i	0.269285	−	0.155472i	−0.359278	−	0.933231i	$-0.616977\pi$
$521$	6.14654	−	3.54871i	0.269285	−	0.155472i	0.628563	+	0.777759i	$0.283644\pi$
$522$	−17.6378	+	6.92736i	−0.771985	+	0.303202i
$523$	−8.40071	+	14.5505i	−0.367337	+	0.636247i	−0.989148	−	0.146920i	$-0.953064\pi$
$523$	−8.40071	+	14.5505i	−0.367337	+	0.636247i	0.621811	+	0.783167i	$0.286397\pi$
$524$	−4.81813	+	15.6475i	−0.210481	+	0.683564i
$525$	−29.9976	−	1.56759i	−1.30920	−	0.0684155i
$526$	−9.03436	−	1.35942i	−0.393917	−	0.0592736i
$527$	8.93858	−	15.4821i	0.389371	−	0.674410i
$528$	−0.608919	+	8.23495i	−0.0264998	+	0.358380i
$529$	8.87758	+	15.3764i	0.385982	+	0.668540i
$530$	−5.29031	+	15.3360i	−0.229797	+	0.666153i
$531$			24.8407i			1.07800i
$532$	5.15609	+	2.87639i	0.223545	+	0.124707i
$533$	−0.923529			−0.0400025
$534$	35.9857	+	28.6831i	1.55725	+	1.24124i
$535$	−5.17148	+	6.06034i	−0.223583	+	0.262012i
$536$	19.8485	−	1.50227i	0.857325	−	0.0648884i
$537$	−1.59336	+	2.75978i	−0.0687585	+	0.119093i
$538$	−2.11264	−	0.317894i	−0.0910824	−	0.0137054i
$539$	0.656142	+	6.32998i	0.0282621	+	0.272652i
$540$	−8.56230	+	0.360416i	−0.368463	+	0.0155098i
$541$	14.2808	+	8.24501i	0.613979	+	0.354481i	0.774521	−	0.632548i	$-0.217991\pi$
$541$	14.2808	+	8.24501i	0.613979	+	0.354481i	−0.160542	+	0.987029i	$0.551324\pi$
$542$	8.95721	+	22.8060i	0.384745	+	0.979601i
$543$	−17.4637	−	30.2481i	−0.749441	−	1.29807i
$544$	−34.0343	+	10.5444i	−1.45921	+	0.452087i
$545$	−1.49243	−	4.20869i	−0.0639285	−	0.180280i
$546$	45.0419	+	16.9286i	1.92762	+	0.724477i
$547$		−	4.86184i		−	0.207877i	−0.994584	−	0.103939i	$-0.966855\pi$
$547$		−	4.86184i		−	0.207877i	0.994584	−	0.103939i	$-0.0331446\pi$
$548$	6.96481	+	7.49883i	0.297522	+	0.320334i
$549$	2.10696	+	3.64936i	0.0899229	+	0.155751i
$550$	5.59467	+	3.16629i	0.238557	+	0.135011i
$551$	3.46707	−	6.00515i	0.147702	−	0.255828i
$552$	−13.2567	−	6.37197i	−0.564244	−	0.271209i
$553$	−20.0951	+	22.2858i	−0.854532	+	0.947688i
$554$	16.1575	+	2.43126i	0.686467	+	0.103294i
$555$	−1.45782	+	7.88475i	−0.0618810	+	0.334689i
$556$	−34.9309	+	7.99095i	−1.48140	+	0.338892i
$557$	11.4750	+	19.8753i	0.486211	+	0.842142i	0.999874	−	0.0158495i	$-0.00504525\pi$
$557$	11.4750	+	19.8753i	0.486211	+	0.842142i	−0.513663	+	0.857992i	$0.671712\pi$
$558$	5.39422	−	6.76757i	0.228355	−	0.286494i
$559$	−46.9699			−1.98662
$560$	23.6261	−	1.34359i	0.998387	−	0.0567771i
$561$	13.0026			0.548970
$562$	14.6788	−	18.4160i	0.619187	−	0.776831i
$563$	−7.57987	−	13.1287i	−0.319453	−	0.553309i	0.660921	−	0.750456i	$-0.270166\pi$
$563$	−7.57987	−	13.1287i	−0.319453	−	0.553309i	−0.980374	+	0.197146i	$0.936833\pi$
$564$	−43.7676	+	10.0125i	−1.84295	+	0.421602i
$565$	−29.7390	−	5.49848i	−1.25113	−	0.231323i
$566$	−31.8205	−	4.78810i	−1.33751	−	0.201259i
$567$	27.2311	−	8.82638i	1.14360	−	0.370673i
$568$	−0.994330	+	2.06868i	−0.0417212	+	0.0867998i
$569$	0.815340	−	1.41221i	0.0341808	−	0.0592030i	−0.848429	−	0.529309i	$-0.822451\pi$
$569$	0.815340	−	1.41221i	0.0341808	−	0.0592030i	0.882610	+	0.470106i	$0.155784\pi$
$570$	−6.04966	+	5.25288i	−0.253392	+	0.220019i
$571$	17.5826	+	30.4540i	0.735811	+	1.27446i	0.954367	+	0.298637i	$0.0965320\pi$
$571$	17.5826	+	30.4540i	0.735811	+	1.27446i	−0.218556	+	0.975824i	$0.570135\pi$
$572$	−7.00794	−	7.54527i	−0.293017	−	0.315483i
$573$			51.0202i			2.13140i
$574$	0.471465	−	0.387289i	0.0196785	−	0.0161651i
$575$	−8.89271	+	7.21394i	−0.370852	+	0.300842i
$576$	−17.0522	+	2.59613i	−0.710507	+	0.108172i
$577$	7.78749	+	13.4883i	0.324198	+	0.561527i	0.981350	−	0.192231i	$-0.0615724\pi$
$577$	7.78749	+	13.4883i	0.324198	+	0.561527i	−0.657152	+	0.753758i	$0.728239\pi$
$578$	11.7216	+	29.8444i	0.487555	+	1.24136i
$579$	32.5699	+	18.8042i	1.35356	+	0.781477i
$580$	−1.16885	−	27.7681i	−0.0485338	−	1.15301i
$581$	4.30973	−	20.2045i	0.178798	−	0.838225i
$582$	−31.7479	−	4.77718i	−1.31599	−	0.198021i
$583$	−2.33196	+	4.03908i	−0.0965801	+	0.167282i
$584$	1.93839	+	25.6106i	0.0802112	+	1.05977i
$585$	−17.7239	+	20.7702i	−0.732792	+	0.858742i
$586$	−9.58049	−	7.63630i	−0.395766	−	0.315453i
$587$	17.6761			0.729572			0.364786	−	0.931091i	$-0.381142\pi$
$587$	17.6761			0.729572			0.364786	+	0.931091i	$0.381142\pi$
$588$	−30.0932	+	10.2466i	−1.24102	+	0.422562i
$589$			3.16688i			0.130489i
$590$	−34.4417	−	11.8810i	−1.41794	−	0.489134i
$591$	−18.3182	−	31.7281i	−0.753511	−	1.30512i
$592$	0.465818	−	6.29967i	0.0191450	−	0.258915i
$593$	4.15344	−	7.19397i	0.170561	−	0.295421i	−0.768055	−	0.640384i	$-0.778775\pi$
$593$	4.15344	−	7.19397i	0.170561	−	0.295421i	0.938616	+	0.344963i	$0.112109\pi$
$594$	−2.43634	−	0.366602i	−0.0999644	−	0.0150419i
$595$	−4.85335	−	36.9457i	−0.198968	−	1.51463i
$596$	−4.19317	+	13.6179i	−0.171759	+	0.557810i
$597$	−24.7810	+	42.9220i	−1.01422	+	1.75668i
$598$	17.0732	−	6.70561i	0.698174	−	0.274213i
$599$	−1.64713	+	0.950974i	−0.0673001	+	0.0388557i	−0.533272	−	0.845944i	$-0.679038\pi$
$599$	−1.64713	+	0.950974i	−0.0673001	+	0.0388557i	0.465972	+	0.884799i	$0.345705\pi$
$600$	−9.18604	+	30.7707i	−0.375019	+	1.25621i
$601$		−	3.61199i		−	0.147336i	−0.997283	−	0.0736680i	$-0.976529\pi$
$601$		−	3.61199i		−	0.147336i	0.997283	−	0.0736680i	$-0.0234705\pi$
$602$	23.9783	−	19.6972i	0.977283	−	0.802799i
$603$		−	15.1736i		−	0.617917i
$604$	−3.87502	−	4.17213i	−0.157672	−	0.169762i
$605$	−17.3046	−	14.7665i	−0.703531	−	0.600345i
$606$	20.4094	+	51.9645i	0.829076	+	2.11091i
$607$	23.1622	+	13.3727i	0.940124	+	0.542781i	0.889999	−	0.455962i	$-0.150705\pi$
$607$	23.1622	+	13.3727i	0.940124	+	0.542781i	0.0501251	+	0.998743i	$0.484038\pi$
$608$	4.28738	−	4.63219i	0.173876	−	0.187860i
$609$	11.5119	+	35.5166i	0.466487	+	1.43921i
$610$	−6.06758	+	1.17585i	−0.245669	+	0.0476090i
$611$	27.9959	−	48.4903i	1.13259	−	1.96171i
$612$	6.05693	+	26.4767i	0.244837	+	1.07026i
$613$	−4.16951	−	7.22180i	−0.168405	−	0.291686i	0.769454	−	0.638702i	$-0.220528\pi$
$613$	−4.16951	−	7.22180i	−0.168405	−	0.291686i	−0.937859	+	0.347016i	$0.887195\pi$
$614$	10.3011	−	12.9237i	0.415718	−	0.521559i
$615$	0.276718	+	0.780352i	0.0111583	+	0.0314668i
$616$	6.74175	+	0.913046i	0.271633	+	0.0367877i
$617$		−	24.3929i		−	0.982021i	−0.871154	−	0.491011i	$-0.836628\pi$
$617$		−	24.3929i		−	0.982021i	0.871154	−	0.491011i	$-0.163372\pi$
$618$	4.54089	+	3.61940i	0.182662	+	0.145594i
$619$	−35.5991	+	20.5532i	−1.43085	+	0.826102i	−0.997186	−	0.0749730i	$-0.976113\pi$
$619$	−35.5991	+	20.5532i	−1.43085	+	0.826102i	−0.433664	+	0.901075i	$0.642780\pi$
$620$	6.80325	+	10.7159i	0.273225	+	0.430362i
$621$	2.19430	−	3.80064i	0.0880543	−	0.152515i
$622$	−15.8494	−	2.38490i	−0.635503	−	0.0956257i
$623$	25.3899	−	28.1578i	1.01723	−	1.12812i
$624$	28.9353	−	42.5307i	1.15834	−	1.70259i
$625$	18.6076	+	16.6961i	0.744303	+	0.667842i
$626$	13.1330	+	33.4379i	0.524899	+	1.33645i
$627$	−1.99477	+	1.15168i	−0.0796636	+	0.0459938i
$628$	17.9213	+	19.2954i	0.715138	+	0.769970i
$629$	−9.94688			−0.396608
$630$	0.337948	−	18.0359i	0.0134642	−	0.718568i
$631$			35.0578i			1.39563i	0.716279	+	0.697814i	$0.245844\pi$
$631$			35.0578i			1.39563i	−0.716279	+	0.697814i	$0.754156\pi$
$632$	18.0908	+	26.4921i	0.719615	+	1.05380i
$633$	−11.0880	−	19.2049i	−0.440707	−	0.763327i
$634$	−12.3181	−	31.3632i	−0.489214	−	1.24559i
$635$	0.548650	−	2.96742i	0.0217725	−	0.117759i
$636$	−22.2662	−	6.85614i	−0.882913	−	0.271864i
$637$	16.1767	−	36.1939i	0.640945	−	1.43405i
$638$	1.18891	−	7.90121i	0.0470696	−	0.312812i
$639$	1.51523	+	0.874819i	0.0599416	+	0.0346073i
$640$	4.55632	−	24.8845i	0.180104	−	0.983648i
$641$	−3.51329	−	6.08519i	−0.138766	−	0.240351i	0.788264	−	0.615338i	$-0.210980\pi$
$641$	−3.51329	−	6.08519i	−0.138766	−	0.240351i	−0.927030	+	0.374987i	$0.877647\pi$
$642$	−8.94705	−	7.13141i	−0.353112	−	0.281454i
$643$	4.42331			0.174438			0.0872191	−	0.996189i	$-0.472202\pi$
$643$	4.42331			0.174438			0.0872191	+	0.996189i	$0.472202\pi$
$644$	−5.90386	+	10.5830i	−0.232645	+	0.417029i
$645$	14.0736	+	39.6881i	0.554149	+	1.56272i
$646$	−7.77207	−	6.19487i	−0.305788	−	0.243734i
$647$	−0.327418	+	0.189035i	−0.0128721	+	0.00743172i	−0.506422	−	0.862286i	$-0.669032\pi$
$647$	−0.327418	+	0.189035i	−0.0128721	+	0.00743172i	0.493550	+	0.869717i	$0.335699\pi$
$648$	−2.30959	−	30.5150i	−0.0907294	−	1.19874i
$649$	−9.07099	−	5.23714i	−0.356067	−	0.205576i
$650$	−20.3208	−	34.5083i	−0.797047	−	1.35353i
$651$	−12.6636	−	11.4188i	−0.496324	−	0.447536i
$652$	−10.1313	+	32.9029i	−0.396774	+	1.28858i
$653$	22.4109	−	38.8168i	0.877005	−	1.51902i	0.0223938	−	0.999749i	$-0.492871\pi$
$653$	22.4109	−	38.8168i	0.877005	−	1.51902i	0.854611	−	0.519268i	$-0.173795\pi$
$654$	5.96905	−	2.34439i	0.233408	−	0.0916727i
$655$	−11.8821	+	13.9244i	−0.464273	+	0.544071i
$656$	−0.283591	−	0.587392i	−0.0110724	−	0.0229338i
$657$	19.5786			0.763832
$658$	6.04280	+	36.4948i	0.235573	+	1.42271i
$659$	−24.4018			−0.950557			−0.475279	−	0.879835i	$-0.657653\pi$
$659$	−24.4018			−0.950557			−0.475279	+	0.879835i	$0.657653\pi$
$660$	−4.27571	+	8.18229i	−0.166432	+	0.318495i
$661$	14.4940	+	25.1043i	0.563751	+	0.976445i	0.997165	+	0.0752499i	$0.0239754\pi$
$661$	14.4940	+	25.1043i	0.563751	+	0.976445i	−0.433414	+	0.901195i	$0.642691\pi$
$662$	2.43167	+	6.19128i	0.0945095	+	0.240631i
$663$	−70.1487	−	40.5004i	−2.72435	−	1.57290i
$664$	−19.9054	−	9.56773i	−0.772480	−	0.371300i
$665$	4.01697	+	5.23809i	0.155771	+	0.203124i
$666$	−4.76168	−	0.716502i	−0.184511	−	0.0277639i
$667$	12.3257	+	7.11626i	0.477254	+	0.275543i
$668$	−0.557227	+	0.127474i	−0.0215598	+	0.00493211i
$669$	34.7971	−	20.0901i	1.34533	−	0.776728i
$670$	21.0382	+	7.25735i	0.812777	+	0.280376i
$671$	−1.77683			−0.0685938
$672$	3.06405	+	33.8463i	0.118198	+	1.30565i
$673$		−	1.93910i		−	0.0747467i	−0.999301	−	0.0373733i	$-0.988101\pi$
$673$		−	1.93910i		−	0.0747467i	0.999301	−	0.0373733i	$-0.0118991\pi$
$674$	−11.0982	−	8.84605i	−0.427488	−	0.340737i
$675$	−8.94800	−	3.42593i	−0.344409	−	0.131864i
$676$	8.50767	+	37.1896i	0.327218	+	1.43037i
$677$	−36.9976	−	21.3606i	−1.42193	−	0.820954i	−0.425470	−	0.904972i	$-0.639891\pi$
$677$	−36.9976	−	21.3606i	−1.42193	−	0.820954i	−0.996464	+	0.0840182i	$0.973225\pi$
$678$	6.46265	−	42.9491i	0.248197	−	1.64945i
$679$	−5.51811	+	25.8695i	−0.211766	+	0.992782i
$680$	−39.6069	−	4.26554i	−1.51885	−	0.163576i
$681$	−19.9035	+	34.4739i	−0.762705	+	1.32104i
$682$	1.33403	+	3.39659i	0.0510828	+	0.130062i
$683$	−32.6952	+	18.8766i	−1.25105	+	0.722293i	−0.971318	−	0.237786i	$-0.923578\pi$
$683$	−32.6952	+	18.8766i	−1.25105	+	0.722293i	−0.279730	+	0.960079i	$0.590245\pi$
$684$	−3.27434	−	3.52540i	−0.125198	−	0.134797i
$685$	3.82419	+	10.7843i	0.146115	+	0.412048i
$686$	6.91993	+	25.2609i	0.264204	+	0.964467i
$687$	15.7117			0.599440
$688$	−14.4232	−	29.8743i	−0.549879	−	1.13895i
$689$	25.1618	−	14.5272i	0.958588	−	0.553441i
$690$	−10.7817	−	12.4171i	−0.410452	−	0.472710i
$691$	17.4603	+	10.0807i	0.664220	+	0.383487i	0.793883	−	0.608071i	$-0.208056\pi$
$691$	17.4603	+	10.0807i	0.664220	+	0.383487i	−0.129663	+	0.991558i	$0.541390\pi$
$692$	11.3388	−	36.8244i	0.431038	−	1.39985i
$693$	1.08188	−	5.07198i	0.0410972	−	0.192669i
$694$	1.66758	−	11.0823i	0.0633003	−	0.420677i
$695$	−39.3951	−	7.28380i	−1.49434	−	0.276290i
$696$	39.7997	−	3.01232i	1.50860	−	0.114182i
$697$	−0.889491	+	0.513548i	−0.0336919	+	0.0194520i
$698$	−5.34816	+	6.70979i	−0.202431	+	0.253969i
$699$		−	9.93606i		−	0.375816i
$700$	24.8452	+	9.09493i	0.939059	+	0.343756i
$701$			20.2036i			0.763080i	0.924352	+	0.381540i	$0.124606\pi$
$701$			20.2036i			0.763080i	−0.924352	+	0.381540i	$0.875394\pi$
$702$	12.0021	+	9.56652i	0.452991	+	0.361065i
$703$	1.52599	−	0.881028i	0.0575536	−	0.0332286i
$704$	2.64707	−	6.77421i	0.0997652	−	0.255313i
$705$	−49.3612	−	9.12645i	−1.85905	−	0.343722i
$706$	48.4704	+	7.29345i	1.82421	+	0.274493i
$707$	43.7562	−	14.1826i	1.64562	−	0.533392i
$708$	15.3976	−	50.0056i	0.578676	−	1.87933i
$709$	11.7495	+	6.78358i	0.441262	+	0.254763i	0.704133	−	0.710068i	$-0.251336\pi$
$709$	11.7495	+	6.78358i	0.441262	+	0.254763i	−0.262871	+	0.964831i	$0.584669\pi$
$710$	−1.93765	+	1.68245i	−0.0727189	+	0.0631414i
$711$	21.1778	−	12.2270i	0.794231	−	0.458549i
$712$	−22.8575	−	33.4724i	−0.856623	−	1.25443i
$713$	−6.50010			−0.243431
$714$	52.7953	−	8.74185i	1.97582	−	0.327155i
$715$	−3.84787	−	10.8511i	−0.143902	−	0.405809i
$716$	2.05659	−	1.91014i	0.0768585	−	0.0713852i
$717$	27.8326	−	16.0691i	1.03943	−	0.600113i
$718$	−6.78912	+	2.66648i	−0.253368	+	0.0995120i
$719$	20.1941	−	34.9772i	0.753113	−	1.30443i	−0.193194	−	0.981161i	$-0.561885\pi$
$719$	20.1941	−	34.9772i	0.753113	−	1.30443i	0.946307	−	0.323270i	$-0.104782\pi$
$720$	−18.6530	−	4.89496i	−0.695156	−	0.182424i
$721$	3.20385	−	3.55312i	0.119318	−	0.132325i
$722$	−24.8299	−	3.73621i	−0.924073	−	0.139047i
$723$	30.4561	+	17.5838i	1.13267	+	0.653950i
$724$	6.86040	+	29.9889i	0.254965	+	1.11453i
$725$	11.1105	−	29.0189i	0.412633	−	1.07774i
$726$	20.3629	−	25.5472i	0.755737	−	0.948146i
$727$		−	7.15590i		−	0.265397i	−0.991156	−	0.132699i	$-0.957636\pi$
$727$		−	7.15590i		−	0.265397i	0.991156	−	0.132699i	$-0.0423643\pi$
$728$	−33.5276	−	25.9250i	−1.24262	−	0.960845i
$729$	−10.2739			−0.380516
$730$	−9.36419	+	27.1457i	−0.346584	+	1.00471i
$731$	−45.2388	+	26.1186i	−1.67322	+	0.966033i
$732$	−1.97935	−	8.65235i	−0.0731590	−	0.319800i
$733$	24.8024	+	14.3197i	0.916097	+	0.528909i	0.882388	−	0.470523i	$-0.155935\pi$
$733$	24.8024	+	14.3197i	0.916097	+	0.528909i	0.0337089	+	0.999432i	$0.489268\pi$
$734$	−3.04258	+	20.2202i	−0.112304	+	0.746340i
$735$	−35.4297	−	2.82400i	−1.30684	−	0.104165i
$736$	9.50768	+	8.79995i	0.350458	+	0.324370i
$737$	5.54089	+	3.19903i	0.204101	+	0.117838i
$738$	−0.462802	+	0.181769i	−0.0170360	+	0.00669099i
$739$	−16.4535	−	28.4983i	−0.605252	−	1.04833i	−0.992012	−	0.126147i	$-0.959739\pi$
$739$	−16.4535	−	28.4983i	−0.605252	−	1.04833i	0.386760	−	0.922181i	$-0.373594\pi$
$740$	3.27089	−	6.25938i	0.120240	−	0.230099i
$741$	14.3490			0.527124
$742$	−6.75310	+	17.9680i	−0.247914	+	0.659625i
$743$	22.3184			0.818782			0.409391	−	0.912359i	$-0.365741\pi$
$743$	22.3184			0.818782			0.409391	+	0.912359i	$0.365741\pi$
$744$	−15.0537	+	10.2799i	−0.551896	+	0.376878i
$745$	−10.3409	+	12.1183i	−0.378861	+	0.443979i
$746$	3.24251	+	8.25577i	0.118717	+	0.302265i
$747$	−8.41776	+	14.5800i	−0.307990	+	0.533454i
$748$	−10.9454	−	3.37026i	−0.400202	−	0.123229i
$749$	−6.31264	+	7.00081i	−0.230659	+	0.255804i
$750$	−23.0697	+	27.5102i	−0.842386	+	1.00453i
$751$	39.6036	+	22.8651i	1.44516	+	0.834361i	0.998187	−	0.0601891i	$-0.0191704\pi$
$751$	39.6036	+	22.8651i	1.44516	+	0.834361i	0.446968	+	0.894550i	$0.352504\pi$
$752$	39.4381	+	2.91618i	1.43816	+	0.106342i
$753$	−12.0549	+	6.95993i	−0.439307	+	0.253634i
$754$	−31.0248	+	38.9236i	−1.12986	+	1.41752i
$755$	−2.12767	−	6.00009i	−0.0774338	−	0.218366i
$756$	−10.1389	+	0.149451i	−0.368749	+	0.00543547i
$757$	28.8916			1.05008			0.525042	−	0.851076i	$-0.324050\pi$
$757$	28.8916			1.05008			0.525042	+	0.851076i	$0.324050\pi$
$758$	−21.5925	+	27.0899i	−0.784275	+	0.983949i
$759$	−2.36386	−	4.09432i	−0.0858027	−	0.148615i
$760$	6.45404	−	2.85372i	0.234113	−	0.103515i
$761$	27.9186	+	16.1188i	1.01205	+	0.584306i	0.911791	−	0.410655i	$-0.134700\pi$
$761$	27.9186	+	16.1188i	1.01205	+	0.584306i	0.100258	+	0.994962i	$0.468033\pi$
$762$	4.28555	+	0.644857i	0.155249	+	0.0233607i
$763$	−1.62913	−	5.02618i	−0.0589783	−	0.181960i
$764$	13.2244	−	42.9480i	0.478442	−	1.55380i
$765$	−5.52093	+	29.8604i	−0.199610	+	1.07961i
$766$	11.3754	−	4.46775i	0.411009	−	0.161426i
$767$	32.6252	+	56.5085i	1.17803	+	2.04040i
$768$	35.9361	+	5.34368i	1.29673	+	0.192823i
$769$		−	8.89606i		−	0.320800i	−0.987052	−	0.160400i	$-0.948722\pi$
$769$		−	8.89606i		−	0.320800i	0.987052	−	0.160400i	$-0.0512784\pi$
$770$	6.51486	+	3.92590i	0.234779	+	0.141479i
$771$	14.5802			0.525092
$772$	−22.5427	−	24.2712i	−0.811331	−	0.873538i
$773$	24.6869	−	14.2530i	0.887925	−	0.512644i	0.0146619	−	0.999893i	$-0.495333\pi$
$773$	24.6869	−	14.2530i	0.887925	−	0.512644i	0.873263	+	0.487249i	$0.161999\pi$
$774$	−23.5377	+	9.24461i	−0.846046	+	0.332291i
$775$	2.23216	+	14.0147i	0.0801815	+	0.503423i
$776$	25.4866	+	12.2504i	0.914915	+	0.439763i
$777$	−1.97920	+	9.27874i	−0.0710035	+	0.332873i
$778$	−2.02733	+	13.4731i	−0.0726832	+	0.483033i
$779$	0.0909733	−	0.157570i	0.00325946	−	0.00564554i
$780$	48.5535	−	30.8253i	1.73849	−	1.10372i
$781$	−0.638909	+	0.368874i	−0.0228620	+	0.0131994i
$782$	12.7151	−	15.9524i	0.454692	−	0.570456i
$783$			11.9090i			0.425593i
$784$	27.9878	−	0.825277i	0.999566	−	0.0294742i
$785$	9.84011	+	27.7494i	0.351209	+	0.990419i
$786$	−20.5570	−	16.3853i	−0.733242	−	0.584444i
$787$	21.7112	+	37.6050i	0.773922	+	1.34047i	0.935398	+	0.353595i	$0.115041\pi$
$787$	21.7112	+	37.6050i	0.773922	+	1.34047i	−0.161477	+	0.986877i	$0.551626\pi$
$788$	7.19608	+	31.4562i	0.256350	+	1.12058i
$789$	7.33456	−	12.7038i	0.261117	−	0.452269i
$790$	6.82367	+	35.2111i	0.242775	+	1.25276i
$791$	−34.9968	−	7.46500i	−1.24434	−	0.265425i
$792$	−4.99690	−	2.40181i	−0.177557	−	0.0853445i
$793$	9.58597	+	5.53446i	0.340408	+	0.196535i
$794$	20.5705	−	8.07921i	0.730020	−	0.286720i
$795$	−19.8142	−	16.9081i	−0.702739	−	0.599670i
$796$	31.9856	−	29.7078i	1.13370	−	1.05296i
$797$			11.3329i			0.401432i	0.979649	+	0.200716i	$0.0643268\pi$
$797$			11.3329i			0.401432i	−0.979649	+	0.200716i	$0.935673\pi$
$798$	−7.32522	+	6.01738i	−0.259310	+	0.213013i
$799$		−	62.2708i		−	2.20298i
$800$	15.7084	−	23.5212i	0.555375	−	0.831600i
$801$	−26.7579	+	15.4487i	−0.945444	+	0.545853i
$802$	13.8792	+	35.3380i	0.490093	+	1.24783i
$803$	−4.12772	+	7.14942i	−0.145664	+	0.252298i
$804$	−9.40539	+	30.5452i	−0.331702	+	1.07725i
$805$	−10.7513	+	8.24494i	−0.378934	+	0.290596i
$806$	3.38258	−	22.4797i	0.119146	−	0.791815i
$807$	1.71515	−	2.97073i	0.0603762	−	0.104575i
$808$	−3.71116	−	49.0329i	−0.130558	−	1.72497i
$809$	−27.3202	−	47.3199i	−0.960526	−	1.66368i	−0.721183	−	0.692745i	$-0.756401\pi$
$809$	−27.3202	−	47.3199i	−0.960526	−	1.66368i	−0.239343	−	0.970935i	$-0.576932\pi$
$810$	11.1574	−	32.3441i	0.392032	−	1.13646i
$811$			34.1338i			1.19860i	0.800525	+	0.599300i	$0.204554\pi$
$811$			34.1338i			1.19860i	−0.800525	+	0.599300i	$0.795446\pi$
$812$	−0.484678	−	32.8812i	−0.0170089	−	1.15390i
$813$	−39.3410			−1.37975
$814$	1.26554	−	1.58775i	0.0443572	−	0.0556505i
$815$	−24.9852	+	29.2796i	−0.875193	+	1.02562i
$816$	4.21871	−	57.0533i	0.147684	−	1.99726i
$817$	4.62683	−	8.01390i	0.161872	−	0.280371i
$818$	2.31870	−	15.4095i	0.0810716	−	0.538781i
$819$	−21.6349	+	23.9934i	−0.755984	+	0.838398i
$820$	−0.0306697	−	0.728612i	−0.00107103	−	0.0254442i
$821$	−21.4373	−	12.3768i	−0.748168	−	0.431955i	0.0768637	−	0.997042i	$-0.475509\pi$
$821$	−21.4373	−	12.3768i	−0.748168	−	0.431955i	−0.825032	+	0.565087i	$0.808843\pi$
$822$	−15.2951	+	6.00725i	−0.533477	+	0.209527i
$823$	12.2123	+	21.1523i	0.425694	+	0.737324i	0.996485	−	0.0837714i	$-0.0266966\pi$
$823$	12.2123	+	21.1523i	0.425694	+	0.737324i	−0.570791	+	0.821096i	$0.693363\pi$
$824$	−2.88430	−	4.22375i	−0.100479	−	0.147141i
$825$	−8.01591	+	6.50266i	−0.279078	+	0.226394i
$826$	−40.3526	−	15.1661i	−1.40405	−	0.527698i
$827$		−	20.7945i		−	0.723096i	−0.932353	−	0.361548i	$-0.882248\pi$
$827$		−	20.7945i		−	0.723096i	0.932353	−	0.361548i	$-0.117752\pi$
$828$	7.23597	−	6.72067i	0.251467	−	0.233560i
$829$	−21.8195	−	37.7924i	−0.757822	−	1.31259i	−0.943959	−	0.330062i	$-0.892930\pi$
$829$	−21.8195	−	37.7924i	−0.757822	−	1.31259i	0.186137	−	0.982524i	$-0.440403\pi$
$830$	−16.1891	−	18.6447i	−0.561930	−	0.647166i
$831$	−13.1175	+	22.7202i	−0.455041	+	0.788154i
$832$	−35.3812	+	28.3017i	−1.22662	+	0.981184i
$833$	−4.54588	−	43.8553i	−0.157505	−	1.51950i
$834$	8.56103	−	56.8943i	0.296444	−	1.97009i
$835$	−0.628441	−	0.116193i	−0.0217481	−	0.00402103i
$836$	1.97768	−	0.452424i	0.0683995	−	0.0156474i
$837$	−2.71947	−	4.71026i	−0.0939986	−	0.162810i
$838$	−6.60469	−	5.26439i	−0.228155	−	0.181855i
$839$	25.4129			0.877351			0.438675	−	0.898646i	$-0.355448\pi$
$839$	25.4129			0.877351			0.438675	+	0.898646i	$0.355448\pi$
$840$	−11.8599	+	36.0977i	−0.409205	+	1.24549i
$841$	−9.62161			−0.331779
$842$	−22.1770	−	17.6766i	−0.764269	−	0.609175i
$843$	18.9065	+	32.7470i	0.651174	+	1.12787i
$844$	4.35577	+	19.0404i	0.149932	+	0.655397i
$845$	−7.75479	+	41.9425i	−0.266773	+	1.44287i
$846$	4.48554	−	29.8097i	0.154216	−	1.02488i
$847$	−19.9900	−	18.0250i	−0.686863	−	0.619346i
$848$	16.9662	+	11.5428i	0.582623	+	0.396380i
$849$	25.8335	−	44.7449i	0.886603	−	1.53564i
$850$	−38.7609	−	21.9367i	−1.32949	−	0.752421i
$851$	1.80833	+	3.13212i	0.0619888	+	0.107368i
$852$	−2.50798	−	2.70027i	−0.0859220	−	0.0925099i
$853$		−	3.10531i		−	0.106324i	−0.998586	−	0.0531619i	$-0.983070\pi$
$853$		−	3.10531i		−	0.106324i	0.998586	−	0.0531619i	$-0.0169299\pi$
$854$	−7.21459	+	1.19459i	−0.246878	+	0.0408781i
$855$	−1.79785	−	5.07000i	−0.0614853	−	0.173390i
$856$	5.68302	+	8.32217i	0.194242	+	0.284446i
$857$	11.1563	+	19.3233i	0.381093	+	0.660072i	0.991219	−	0.132233i	$-0.0422146\pi$
$857$	11.1563	+	19.3233i	0.381093	+	0.660072i	−0.610126	+	0.792304i	$0.708881\pi$
$858$	15.3898	−	6.04445i	0.525399	−	0.206354i
$859$	18.2253	+	10.5224i	0.621838	+	0.359018i	0.777584	−	0.628779i	$-0.216445\pi$
$859$	18.2253	+	10.5224i	0.621838	+	0.359018i	−0.155746	+	0.987797i	$0.549778\pi$
$860$	−1.55984	−	37.0567i	−0.0531900	−	1.26362i
$861$	0.302064	+	0.931928i	0.0102943	+	0.0317600i
$862$	5.28376	−	35.1145i	0.179966	−	1.19600i
$863$	−17.4205	+	30.1732i	−0.593001	+	1.02711i	0.400825	+	0.916155i	$0.368723\pi$
$863$	−17.4205	+	30.1732i	−0.593001	+	1.02711i	−0.993826	+	0.110953i	$0.964610\pi$
$864$	−2.39907	+	10.5713i	−0.0816179	+	0.359644i
$865$	27.9630	−	32.7692i	0.950772	−	1.11419i
$866$	13.5967	−	17.0584i	0.462034	−	0.579667i
$867$	−51.4825			−1.74844
$868$	7.70024	+	12.8945i	0.261363	+	0.437668i
$869$			10.3112i			0.349785i
$870$	42.1852	+	14.5522i	1.43021	+	0.493367i
$871$	−19.9286	−	34.5174i	−0.675256	−	1.16958i
$872$	−5.63231	+	0.426293i	−0.190734	+	0.0144361i
$873$	10.7780	−	18.6680i	0.364779	−	0.631816i
$874$	−0.537718	+	3.57353i	−0.0181886	+	0.120876i
$875$	21.4687	+	20.3493i	0.725776	+	0.687931i
$876$	−39.4126	−	12.1358i	−1.33163	−	0.410031i
$877$	19.9212	−	34.5045i	0.672691	−	1.16513i	−0.304448	−	0.952529i	$-0.598472\pi$
$877$	19.9212	−	34.5045i	0.672691	−	1.16513i	0.977138	−	0.212605i	$-0.0681948\pi$
$878$	8.83647	+	22.4986i	0.298216	+	0.759290i
$879$	17.0359	−	9.83567i	0.574606	−	0.331749i
$880$	5.72006	−	5.77945i	0.192823	−	0.194825i
$881$			32.2170i			1.08542i	0.839921	+	0.542709i	$0.182601\pi$
$881$			32.2170i			1.08542i	−0.839921	+	0.542709i	$0.817399\pi$
$882$	0.982859	−	21.3215i	0.0330946	−	0.717932i
$883$			57.8919i			1.94822i	0.226080	+	0.974109i	$0.427409\pi$
$883$			57.8919i			1.94822i	−0.226080	+	0.974109i	$0.572591\pi$
$884$	48.5524	+	52.2750i	1.63299	+	1.75820i
$885$	37.9724	−	44.4989i	1.27643	−	1.49582i
$886$	−52.2326	+	20.5147i	−1.75479	+	0.689205i
$887$	7.94580	+	4.58751i	0.266794	+	0.154033i	0.627430	−	0.778673i	$-0.284107\pi$
$887$	7.94580	+	4.58751i	0.266794	+	0.154033i	−0.360636	+	0.932707i	$0.617440\pi$
$888$	9.14138	+	4.39389i	0.306765	+	0.147449i
$889$	0.744873	−	3.49205i	0.0249822	−	0.117120i
$890$	−8.62162	−	44.4888i	−0.288997	−	1.49127i
$891$	4.91818	−	8.51854i	0.164765	−	0.285382i
$892$	−34.4989	+	7.89214i	−1.15511	+	0.264248i
$893$	5.51553	+	9.55319i	0.184570	+	0.319685i
$894$	−17.8905	−	14.2600i	−0.598349	−	0.476925i
$895$	2.95766	−	1.04880i	0.0988637	−	0.0350577i
$896$	6.19367	−	29.2855i	0.206916	−	0.978359i
$897$			29.4517i			0.983365i
$898$	−6.45492	+	8.09833i	−0.215404	+	0.270245i
$899$	15.2756	−	8.81940i	0.509471	−	0.294143i
$900$	−16.9751	−	13.2934i	−0.565838	−	0.443113i
$901$	16.1563	−	27.9835i	0.538244	−	0.932266i
$902$	0.0311962	−	0.207322i	0.00103872	−	0.00690305i
$903$	15.3627	+	47.3971i	0.511240	+	1.57728i
$904$	−16.5725	+	34.4787i	−0.551194	+	1.14674i
$905$	−6.25330	+	33.8215i	−0.207867	+	1.12427i
$906$	8.50974	−	3.34226i	0.282717	−	0.111039i
$907$	9.48163	−	5.47422i	0.314832	−	0.181769i	−0.334254	−	0.942483i	$-0.608484\pi$
$907$	9.48163	−	5.47422i	0.314832	−	0.181769i	0.649087	+	0.760714i	$0.275151\pi$
$908$	25.6901	−	23.8606i	0.852555	−	0.791842i
$909$	−37.4842			−1.24327
$910$	−22.9192	−	41.4726i	−0.759763	−	1.37480i
$911$			10.3120i			0.341653i	0.985301	+	0.170827i	$0.0546438\pi$
$911$			10.3120i			0.341653i	−0.985301	+	0.170827i	$0.945356\pi$
$912$	4.40619	+	9.12641i	0.145904	+	0.302206i
$913$	−3.54941	−	6.14776i	−0.117468	−	0.203461i
$914$	−32.0102	+	12.5722i	−1.05880	+	0.415852i
$915$	1.80419	−	9.75814i	0.0596448	−	0.322594i
$916$	−13.2259	−	4.07247i	−0.436995	−	0.134558i
$917$	−14.5041	+	16.0852i	−0.478967	+	0.531181i
$918$	16.8794	+	2.53989i	0.557105	+	0.0838289i
$919$	42.1983	+	24.3632i	1.39199	+	0.803669i	0.993536	−	0.113518i	$-0.0362118\pi$
$919$	42.1983	+	24.3632i	1.39199	+	0.803669i	0.398459	+	0.917186i	$0.369545\pi$
$920$	5.85734	+	13.2471i	0.193111	+	0.436744i
$921$	13.2679	+	22.9808i	0.437194	+	0.757242i
$922$	14.4361	−	18.1115i	0.475428	−	0.596471i
$923$	4.59587			0.151275
$924$	−5.32176	+	9.53955i	−0.175073	+	0.313828i
$925$	6.13210	−	4.97448i	0.201622	−	0.163560i
$926$	1.44955	−	1.81860i	0.0476352	−	0.0597630i
$927$	−3.37647	+	1.94941i	−0.110898	+	0.0640270i
$928$	−34.2835	−	7.78032i	−1.12541	−	0.255402i
$929$	30.8399	+	17.8054i	1.01182	+	0.584177i	0.911725	−	0.410801i	$-0.134751\pi$
$929$	30.8399	+	17.8054i	1.01182	+	0.584177i	0.100099	+	0.994977i	$0.468084\pi$
$930$	−20.0082	+	3.87745i	−0.656095	+	0.127147i
$931$	4.58181	+	6.32535i	0.150163	+	0.207305i
$932$	−2.57542	+	8.36401i	−0.0843606	+	0.273972i
$933$	12.8674	−	22.2869i	0.421259	−	0.729642i
$934$	8.23576	+	20.9691i	0.269482	+	0.686130i
$935$	−9.74005	−	8.31150i	−0.318534	−	0.271815i
$936$	19.4770	+	28.5220i	0.636627	+	0.932271i
$937$	1.16006			0.0378974			0.0189487	−	0.999820i	$-0.493968\pi$
$937$	1.16006			0.0378974			0.0189487	+	0.999820i	$0.493968\pi$
$938$	24.6488	+	9.26403i	0.804812	+	0.302481i
$939$	−57.6814			−1.88236
$940$	39.1859	+	20.4769i	1.27810	+	0.667882i
$941$	4.49867	+	7.79192i	0.146652	+	0.254009i	0.929988	−	0.367589i	$-0.119817\pi$
$941$	4.49867	+	7.79192i	0.146652	+	0.254009i	−0.783336	+	0.621599i	$0.786483\pi$
$942$	−39.3561	+	15.4574i	−1.28229	+	0.503629i
$943$	0.323417	+	0.186725i	0.0105319	+	0.00608060i
$944$	−25.9228	+	38.1028i	−0.843716	+	1.24014i
$945$	−10.4727	−	4.34141i	−0.340677	−	0.141226i
$946$	1.58661	−	10.5442i	0.0515852	−	0.342822i
$947$	−19.2076	−	11.0895i	−0.624165	−	0.360362i	0.154324	−	0.988020i	$-0.450680\pi$
$947$	−19.2076	−	11.0895i	−0.624165	−	0.360362i	−0.778489	+	0.627659i	$0.784013\pi$
$948$	−50.2110	+	11.4865i	−1.63078	+	0.373064i
$949$	44.5380	−	25.7140i	1.44576	−	0.834712i
$950$	7.88945	−	0.0678031i	0.255968	−	0.00219982i
$951$	54.1024			1.75439
$952$	−46.7081	−	6.32576i	−1.51382	−	0.205019i
$953$			31.9975i			1.03650i	0.855229	+	0.518250i	$0.173416\pi$
$953$			31.9975i			1.03650i	−0.855229	+	0.518250i	$0.826584\pi$
$954$	9.74993	−	12.2322i	0.315665	−	0.396033i
$955$	32.6131	−	38.2185i	1.05533	−	1.23672i
$956$	−27.5941	+	6.31255i	−0.892456	+	0.204163i
$957$	11.1104	+	6.41461i	0.359149	+	0.207355i
$958$	−37.7150	−	5.67506i	−1.21851	−	0.183353i
$959$	4.17447	+	12.8791i	0.134801	+	0.415887i
$960$	34.5153	+	21.4159i	1.11398	+	0.691195i
$961$	11.4721	−	19.8703i	0.370068	−	0.640977i
$962$	−11.7731	+	4.62396i	−0.379579	+	0.149082i
$963$	6.65276	−	3.84097i	0.214382	−	0.123774i
$964$	−21.0797	−	22.6960i	−0.678931	−	0.730987i
$965$	−12.3776	−	34.9052i	−0.398449	−	1.12364i
$966$	−12.3508	−	15.0352i	−0.397381	−	0.483750i
$967$	−40.0936			−1.28932			−0.644662	−	0.764468i	$-0.723002\pi$
$967$	−40.0936			−1.28932			−0.644662	+	0.764468i	$0.723002\pi$
$968$	−23.7629	+	16.2272i	−0.763770	+	0.521561i
$969$	13.8202	−	7.97908i	0.443968	−	0.256325i
$970$	20.7282	+	23.8723i	0.665543	+	0.766495i
$971$	−26.9006	−	15.5311i	−0.863282	−	0.498416i	0.00182815	−	0.999998i	$-0.499418\pi$
$971$	−26.9006	−	15.5311i	−0.863282	−	0.498416i	−0.865110	+	0.501582i	$0.832751\pi$
$972$	35.9716	+	11.0762i	1.15379	+	0.355271i
$973$	−46.3600	−	9.88882i	−1.48623	−	0.317021i
$974$	16.9002	+	2.54302i	0.541519	+	0.0814836i
$975$	63.5001	−	10.1138i	2.03363	−	0.323902i
$976$	−0.576495	+	7.79645i	−0.0184532	+	0.249558i
$977$	−48.2743	+	27.8712i	−1.54443	+	0.891678i	−0.545881	+	0.837863i	$0.683805\pi$
$977$	−48.2743	+	27.8712i	−1.54443	+	0.891678i	−0.998551	+	0.0538151i	$0.982862\pi$
$978$	−43.2262	−	34.4543i	−1.38222	−	1.10173i
$979$		−	13.0281i		−	0.416380i
$980$	29.0922	+	11.5605i	0.929315	+	0.369288i
$981$			4.30573i			0.137471i
$982$	16.5135	−	20.7177i	0.526965	−	0.661130i
$983$	39.4861	−	22.7973i	1.25941	−	0.727122i	0.286452	−	0.958095i	$-0.407524\pi$
$983$	39.4861	−	22.7973i	1.25941	−	0.727122i	0.972960	+	0.230973i	$0.0741908\pi$
$984$	1.04431	−	0.0790409i	0.0332915	−	0.00251973i
$985$	−6.55927	+	35.4764i	−0.208996	+	1.13037i
$986$	−8.23702	+	54.7411i	−0.262320	+	1.74331i
$987$	−58.0881	−	12.3905i	−1.84896	−	0.394394i
$988$	−12.0788	−	3.71925i	−0.384277	−	0.118325i
$989$	16.4487	+	9.49669i	0.523040	+	0.301977i
$990$	−4.06397	−	4.68041i	−0.129161	−	0.148753i
$991$	30.9667	−	17.8786i	0.983689	−	0.567933i	0.0803071	−	0.996770i	$-0.474410\pi$
$991$	30.9667	−	17.8786i	0.983689	−	0.567933i	0.903382	+	0.428837i	$0.141077\pi$
$992$	15.3365	−	4.75149i	0.486934	−	0.150860i
$993$	−10.6801			−0.338924
$994$	−2.34621	+	1.92731i	−0.0744171	+	0.0611307i
$995$	45.9996	−	16.3117i	1.45829	−	0.517117i
$996$	25.9828	−	24.1325i	0.823297	−	0.764667i
$997$	−9.48099	+	5.47385i	−0.300266	+	0.173359i	−0.642562	−	0.766233i	$-0.722129\pi$
$997$	−9.48099	+	5.47385i	−0.300266	+	0.173359i	0.342296	+	0.939592i	$0.388795\pi$
$998$	−12.9049	−	32.8572i	−0.408497	−	1.04008i
$999$	−1.51312	+	2.62079i	−0.0478728	+	0.0829182i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.ba.b.19.28	yes	80
4.3	odd	2		1120.2.bq.b.719.7		80
5.4	even	2	inner	280.2.ba.b.19.13	✓	80
7.3	odd	6	inner	280.2.ba.b.59.26	yes	80
8.3	odd	2	inner	280.2.ba.b.19.15	yes	80
8.5	even	2		1120.2.bq.b.719.8		80
20.19	odd	2		1120.2.bq.b.719.33		80
28.3	even	6		1120.2.bq.b.1039.34		80
35.24	odd	6	inner	280.2.ba.b.59.15	yes	80
40.19	odd	2	inner	280.2.ba.b.19.26	yes	80
40.29	even	2		1120.2.bq.b.719.34		80
56.3	even	6	inner	280.2.ba.b.59.13	yes	80
56.45	odd	6		1120.2.bq.b.1039.33		80
140.59	even	6		1120.2.bq.b.1039.8		80
280.59	even	6	inner	280.2.ba.b.59.28	yes	80
280.269	odd	6		1120.2.bq.b.1039.7		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.ba.b.19.13	✓	80	5.4	even	2	inner
280.2.ba.b.19.15	yes	80	8.3	odd	2	inner
280.2.ba.b.19.26	yes	80	40.19	odd	2	inner
280.2.ba.b.19.28	yes	80	1.1	even	1	trivial
280.2.ba.b.59.13	yes	80	56.3	even	6	inner
280.2.ba.b.59.15	yes	80	35.24	odd	6	inner
280.2.ba.b.59.26	yes	80	7.3	odd	6	inner
280.2.ba.b.59.28	yes	80	280.59	even	6	inner
1120.2.bq.b.719.7		80	4.3	odd	2
1120.2.bq.b.719.8		80	8.5	even	2
1120.2.bq.b.719.33		80	20.19	odd	2
1120.2.bq.b.719.34		80	40.29	even	2
1120.2.bq.b.1039.7		80	280.269	odd	6
1120.2.bq.b.1039.8		80	140.59	even	6
1120.2.bq.b.1039.33		80	56.45	odd	6
1120.2.bq.b.1039.34		80	28.3	even	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.ba (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.881474 - 1.10590i) q^{2} +(1.13535 + 1.96648i) q^{3} +(-0.446008 - 1.94964i) q^{4} +(0.406539 - 2.19880i) q^{5} +(3.17551 + 0.477826i) q^{6} +(0.551936 - 2.58754i) q^{7} +(-2.54924 - 1.22531i) q^{8} +(-1.07804 + 1.86722i) q^{9} +O(q^{10})\)	\(q+(0.881474 - 1.10590i) q^{2} +(1.13535 + 1.96648i) q^{3} +(-0.446008 - 1.94964i) q^{4} +(0.406539 - 2.19880i) q^{5} +(3.17551 + 0.477826i) q^{6} +(0.551936 - 2.58754i) q^{7} +(-2.54924 - 1.22531i) q^{8} +(-1.07804 + 1.86722i) q^{9} +(-2.07329 - 2.38777i) q^{10} +(-0.454564 - 0.787328i) q^{11} +(3.32755 - 3.09059i) q^{12} +5.66349i q^{13} +(-2.37503 - 2.89123i) q^{14} +(4.78547 - 1.69696i) q^{15} +(-3.60215 + 1.73911i) q^{16} +(3.14931 + 5.45476i) q^{17} +(1.11469 + 2.83811i) q^{18} +(-0.966292 - 0.557889i) q^{19} +(-4.46818 + 0.188080i) q^{20} +(5.71500 - 1.85239i) q^{21} +(-1.27139 - 0.191309i) q^{22} +(1.14508 - 1.98334i) q^{23} +(-0.484714 - 6.40419i) q^{24} +(-4.66945 - 1.78780i) q^{25} +(6.26323 + 4.99222i) q^{26} +1.91628 q^{27} +(-5.29093 + 0.0779898i) q^{28} +6.21463i q^{29} +(2.34161 - 6.78805i) q^{30} +(-1.41914 - 2.45801i) q^{31} +(-1.25194 + 5.51658i) q^{32} +(1.03218 - 1.78779i) q^{33} +(8.80842 + 1.32542i) q^{34} +(-5.46510 - 2.26553i) q^{35} +(4.12122 + 1.26899i) q^{36} +(-0.789609 + 1.36764i) q^{37} +(-1.46873 + 0.576853i) q^{38} +(-11.1372 + 6.43005i) q^{39} +(-3.73059 + 5.10713i) q^{40} +0.163067i q^{41} +(2.98907 - 7.95302i) q^{42} +8.29346i q^{43} +(-1.33226 + 1.23739i) q^{44} +(3.66738 + 3.12950i) q^{45} +(-1.18401 - 3.01460i) q^{46} +(-8.56191 - 4.94322i) q^{47} +(-7.50963 - 5.10909i) q^{48} +(-6.39073 - 2.85631i) q^{49} +(-6.09311 + 3.58803i) q^{50} +(-7.15113 + 12.3861i) q^{51} +(11.0417 - 2.52596i) q^{52} +(-2.56505 - 4.44280i) q^{53} +(1.68916 - 2.11921i) q^{54} +(-1.91598 + 0.679417i) q^{55} +(-4.57757 + 5.91996i) q^{56} -2.53360i q^{57} +(6.87273 + 5.47803i) q^{58} +(9.97768 - 5.76061i) q^{59} +(-5.44281 - 8.57307i) q^{60} +(0.977217 - 1.69259i) q^{61} +(-3.96924 - 0.597261i) q^{62} +(4.23650 + 3.82006i) q^{63} +(4.99721 + 6.24723i) q^{64} +(12.4529 + 2.30243i) q^{65} +(-1.06727 - 2.71737i) q^{66} +(-6.09472 + 3.51879i) q^{67} +(9.23017 - 8.57286i) q^{68} +5.20028 q^{69} +(-7.32279 + 4.04682i) q^{70} -0.811490i q^{71} +(5.03612 - 3.43905i) q^{72} +(-4.54031 - 7.86404i) q^{73} +(0.816449 + 2.07877i) q^{74} +(-1.78579 - 11.2122i) q^{75} +(-0.656706 + 2.13274i) q^{76} +(-2.28813 + 0.741649i) q^{77} +(-2.70617 + 17.9845i) q^{78} +(-9.82237 - 5.67095i) q^{79} +(2.35953 + 8.62743i) q^{80} +(5.40978 + 9.37001i) q^{81} +(0.180335 + 0.143739i) q^{82} +7.80839 q^{83} +(-6.16042 - 10.3160i) q^{84} +(13.2742 - 4.70713i) q^{85} +(9.17169 + 7.31047i) q^{86} +(-12.2210 + 7.05578i) q^{87} +(0.194067 + 2.56407i) q^{88} +(12.4104 + 7.16517i) q^{89} +(6.69360 - 1.29717i) q^{90} +(14.6545 + 3.12589i) q^{91} +(-4.37750 - 1.34791i) q^{92} +(3.22243 - 5.58142i) q^{93} +(-13.0138 + 5.11125i) q^{94} +(-1.61952 + 1.89788i) q^{95} +(-12.2697 + 3.80134i) q^{96} -9.99774 q^{97} +(-8.79205 + 4.54972i) q^{98} +1.96016 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) \) 80 * q + 6 * q^4 - 52 * q^9	\( 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) \) 80 * q + 6 * q^4 - 52 * q^9 - 12 * q^10 - 6 * q^14 + 10 * q^16 - 48 * q^19 + 12 * q^24 - 22 * q^25 + 54 * q^26 - 20 * q^30 - 22 * q^35 + 28 * q^36 + 12 * q^40 + 38 * q^44 + 14 * q^46 + 16 * q^49 - 40 * q^50 + 20 * q^51 + 60 * q^54 - 104 * q^56 - 60 * q^59 - 42 * q^60 - 60 * q^64 - 12 * q^65 + 84 * q^66 - 22 * q^70 + 34 * q^74 - 6 * q^75 - 96 * q^80 - 100 * q^84 - 8 * q^86 - 36 * q^89 + 72 * q^91 - 66 * q^94 + 96 * q^96 + 104 * q^99

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