LMFDB - Embedded newform 280.2.ba.b.19.13

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			19.13
Character	$\chi$	$=$	280.19
Dual form			280.2.ba.b.59.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.881474 + 1.10590i) q^{2} +(-1.13535 - 1.96648i) q^{3} +(-0.446008 - 1.94964i) q^{4} +(1.70095 - 1.45147i) q^{5} +(3.17551 + 0.477826i) q^{6} +(-0.551936 + 2.58754i) q^{7} +(2.54924 + 1.22531i) q^{8} +(-1.07804 + 1.86722i) q^{9} +O(q^{10})$	\(q+(-0.881474 + 1.10590i) q^{2} +(-1.13535 - 1.96648i) q^{3} +(-0.446008 - 1.94964i) q^{4} +(1.70095 - 1.45147i) 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} +(0.105836 + 3.16051i) 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} +(-3.58848 - 2.66886i) 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} +(0.786450 - 4.93776i) q^{25} +(6.26323 + 4.99222i) q^{26} -1.91628 q^{27} +(5.29093 - 0.0779898i) q^{28} +6.21463i q^{29} +(6.09493 - 3.79641i) 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} +(2.81693 + 5.20239i) 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} +(6.11463 - 1.61595i) q^{40} +0.163067i q^{41} +(-2.98907 + 7.95302i) q^{42} -8.29346i q^{43} +(-1.33226 + 1.23739i) q^{44} +(0.876531 + 4.74080i) 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} +(4.76741 + 5.22224i) 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} +(-1.17409 + 10.0868i) 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} +(-8.22041 - 9.63331i) q^{65} +(-1.06727 - 2.71737i) q^{66} +(6.09472 - 3.51879i) q^{67} +(-9.23017 + 8.57286i) q^{68} +5.20028 q^{69} +(-8.23635 - 1.47054i) q^{70} -0.811490i q^{71} +(-5.03612 + 3.43905i) q^{72} +(4.54031 + 7.86404i) q^{73} +(0.816449 + 2.07877i) q^{74} +(-10.6029 + 4.05955i) 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} +(-3.60281 + 8.18656i) 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} +(-6.01546 - 3.20954i) 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} +(-2.45337 + 0.453607i) 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	$-0.939127\pi$
$3$	−1.13535	−	1.96648i	−0.655495	−	1.13535i	0.326275	−	0.945275i	$-0.394207\pi$
$4$	−0.446008	−	1.94964i	−0.223004	−	0.974818i
$5$	1.70095	−	1.45147i	0.760687	−	0.649119i
$5$	1.70095	−	1.45147i	0.760687	−	0.649119i
$6$	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
$10$	0.105836	+	3.16051i	0.0334683	+	0.999440i
$11$	−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	$-0.712465\pi$
$13$		−	5.66349i		−	1.57077i	0.619007	−	0.785385i	$-0.287535\pi$
$14$	−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	$-0.889989\pi$
$17$	−3.14931	−	5.45476i	−0.763819	−	1.32297i	0.177050	−	0.984202i	$-0.443345\pi$
$18$	−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	$0.707519\pi$
$20$	−3.58848	−	2.66886i	−0.802408	−	0.596775i
$21$	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	−0.960360	−	0.278761i	$-0.910076\pi$
$23$	−1.14508	+	1.98334i	−0.238766	+	0.413555i	0.721594	+	0.692316i	$0.243410\pi$
$24$	−0.484714	−	6.40419i	−0.0989419	−	1.30725i
$25$	0.786450	−	4.93776i	0.157290	−	0.987552i
$26$	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	$0.804218\pi$
$30$	6.09493	−	3.79641i	1.11278	−	0.693126i
$31$	−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
$35$	2.81693	+	5.20239i	0.476148	+	0.879365i
$36$	4.12122	+	1.26899i	0.686869	+	0.211499i
$37$	0.789609	−	1.36764i	0.129811	−	0.224839i	−0.793792	−	0.608189i	$-0.791896\pi$
$37$	0.789609	−	1.36764i	0.129811	−	0.224839i	0.923603	+	0.383350i	$0.125230\pi$
$38$	1.46873	−	0.576853i	0.238259	−	0.0935779i
$39$	−11.1372	+	6.43005i	−1.78337	+	1.02963i
$40$	6.11463	−	1.61595i	0.966808	−	0.255504i
$41$			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	$-0.782082\pi$
$43$		−	8.29346i		−	1.26474i	0.774666	−	0.632370i	$-0.217918\pi$
$44$	−1.33226	+	1.23739i	−0.200846	+	0.186543i
$45$	0.876531	+	4.74080i	0.130666	+	0.706716i
$46$	−1.18401	−	3.01460i	−0.174572	−	0.444479i
$47$	8.56191	+	4.94322i	1.24888	+	0.721043i	0.970887	−	0.239540i	$-0.0769965\pi$
$47$	8.56191	+	4.94322i	1.24888	+	0.721043i	0.277996	+	0.960582i	$0.410330\pi$
$48$	7.50963	+	5.10909i	1.08392	+	0.737433i
$49$	−6.39073	−	2.85631i	−0.912962	−	0.408045i
$50$	4.76741	+	5.22224i	0.674214	+	0.738536i
$51$	−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	0.986659	−	0.162803i	$-0.0520537\pi$
$53$	2.56505	+	4.44280i	0.352337	+	0.610266i	−0.634321	+	0.773070i	$0.718720\pi$
$54$	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	$0.0634022\pi$
$60$	−1.17409	+	10.0868i	−0.151574	+	1.30220i
$61$	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
$65$	−8.22041	−	9.63331i	−1.01962	−	1.19487i
$66$	−1.06727	−	2.71737i	−0.131371	−	0.334485i
$67$	6.09472	−	3.51879i	0.744589	−	0.429889i	−0.0791464	−	0.996863i	$-0.525219\pi$
$67$	6.09472	−	3.51879i	0.744589	−	0.429889i	0.823735	+	0.566974i	$0.191886\pi$
$68$	−9.23017	+	8.57286i	−1.11932	+	1.03961i
$69$	5.20028			0.626040
$70$	−8.23635	−	1.47054i	−0.984432	−	0.175763i
$71$		−	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	$0.0116682\pi$
$73$	4.54031	+	7.86404i	0.531403	+	0.920417i	−0.467925	+	0.883768i	$0.654998\pi$
$74$	0.816449	+	2.07877i	0.0949103	+	0.241652i
$75$	−10.6029	+	4.05955i	−1.22432	+	0.468756i
$76$	−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	$0.886918\pi$
$80$	−3.60281	+	8.18656i	−0.402807	+	0.915285i
$81$	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	$-0.640972\pi$
$83$	−7.80839			−0.857082			−0.428541	+	0.903522i	$0.640972\pi$
$84$	−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	$0.392107\pi$
$90$	−6.01546	−	3.20954i	−0.634085	−	0.338315i
$91$	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
$95$	−2.45337	+	0.453607i	−0.251711	+	0.0465391i
$96$	−12.2697	+	3.80134i	−1.25227	+	0.387972i
$97$	9.99774			1.01512			0.507558	−	0.861618i	$-0.330548\pi$
$97$	9.99774			1.01512			0.507558	+	0.861618i	$0.330548\pi$
$98$	8.79205	−	4.54972i	0.888131	−	0.459591i
$99$	1.96016			0.197003
$100$	−9.97760	+	0.668991i	−0.997760	+	0.0668991i
$101$	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	0.420859	−	0.907126i	$-0.361729\pi$
$103$	−1.56602	−	0.904144i	−0.154305	−	0.0890880i	−0.575164	+	0.818038i	$0.695062\pi$
$104$	6.93956	−	14.4376i	0.680480	−	1.41572i
$105$	7.03222	−	11.4460i	0.686274	−	1.11701i
$106$	−7.17430	−	1.07953i	−0.696830	−	0.104854i
$107$	3.08558	+	1.78146i	0.298294	+	0.172220i	0.641676	−	0.766976i	$-0.278239\pi$
$107$	3.08558	+	1.78146i	0.298294	+	0.172220i	−0.343382	+	0.939196i	$0.611573\pi$
$108$	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	$0.302844\pi$
$110$	2.44025	−	1.51998i	0.232668	−	0.144924i
$111$	−3.58593			−0.340361
$112$	−2.51185	−	10.2806i	−0.237347	−	0.971425i
$113$			13.5251i			1.27234i	0.771551	+	0.636168i	$0.219481\pi$
$113$			13.5251i			1.27234i	−0.771551	+	0.636168i	$0.780519\pi$
$114$	−2.80189	−	2.23330i	−0.262421	−	0.209168i
$115$	0.931040	+	5.03561i	0.0868199	+	0.469573i
$116$	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
$120$	−10.1200	−	10.1897i	−0.923825	−	0.930184i
$121$	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	$-0.519071\pi$
$127$	−1.34956			−0.119754			−0.0598772	+	0.998206i	$0.519071\pi$
$128$	−11.3137	+	0.0196185i	−0.999998	+	0.00173404i
$129$	−16.3090	+	9.41598i	−1.43592	+	0.829031i
$130$	17.8995	−	0.599401i	1.56989	−	0.0525710i
$131$	−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
$135$	−3.25950	+	2.78144i	−0.280533	+	0.239388i
$136$	−1.34453	−	17.7644i	−0.115293	−	1.52328i
$137$	4.43159	−	2.55858i	0.378616	−	0.218594i	−0.298600	−	0.954378i	$-0.596520\pi$
$137$	4.43159	−	2.55858i	0.378616	−	0.218594i	0.677216	+	0.735784i	$0.263186\pi$
$138$	−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	$-0.274720\pi$
$140$	8.88639	−	7.81230i	0.751037	−	0.660260i
$141$		−	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
$145$	9.02037	+	10.5708i	0.749101	+	0.877854i
$146$	−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	$0.760930\pi$
$150$	4.85677	−	15.3041i	0.396554	−	1.24958i
$151$	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	0.0296091	−	0.999562i	$-0.490574\pi$
$157$	11.4030	−	6.58353i	0.910059	−	0.525423i	0.880450	+	0.474139i	$0.157240\pi$
$158$	14.9296	−	5.86372i	1.18774	−	0.466492i
$159$	5.82447	−	10.0883i	0.461911	−	0.800053i
$160$	−5.87769	−	11.2006i	−0.464672	−	0.885483i
$161$	−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	0.953124	−	0.302580i	$-0.0978480\pi$
$163$	14.9075	+	8.60684i	1.16764	+	0.674139i	0.214520	+	0.976720i	$0.431181\pi$
$164$	0.317921	−	0.0727291i	0.0248255	−	0.00567919i
$165$	0.839242	+	4.53911i	0.0653349	+	0.353370i
$166$	6.88289	−	8.63526i	0.534216	−	0.670226i
$167$			0.285811i			0.0221167i	0.999939	+	0.0110584i	$0.00352006\pi$
$167$			0.285811i			0.0221167i	−0.999939	+	0.0110584i	$0.996480\pi$
$168$	16.8386	+	2.28049i	1.29913	+	0.175943i
$169$	−19.0752			−1.46732
$170$	16.9065	−	10.5307i	1.29667	−	0.807669i
$171$	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	−0.293778	−	0.955874i	$-0.594913\pi$
$173$	−16.6842	−	9.63264i	−1.26848	−	0.732356i	−0.974700	+	0.223518i	$0.928246\pi$
$174$	−2.96951	+	19.7346i	−0.225118	+	1.49608i
$175$	12.3426	+	4.76030i	0.933012	+	0.359845i
$176$	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	$0.816631\pi$
$180$	8.85188	−	3.82335i	0.659780	−	0.284975i
$181$	−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
$185$	−0.642013	−	3.47238i	−0.0472017	−	0.255295i
$186$	−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
$190$	1.66094	−	3.11302i	0.120497	−	0.225842i
$191$	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	−0.917691	−	0.397294i	$-0.869949\pi$
$193$	−14.3435	+	8.28125i	−1.03247	+	0.596097i	−0.114779	+	0.993391i	$0.536616\pi$
$194$	−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	$-0.305093\pi$
$197$	16.1344			1.14953			0.574765	+	0.818318i	$0.305093\pi$
$198$	−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	$0.551773\pi$
$200$	8.05516	−	11.6239i	0.569586	−	0.821932i
$201$	−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
$205$	0.236687	+	0.277368i	0.0165310	+	0.0193723i
$206$	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
$210$	6.45935	+	17.8662i	0.445737	+	1.23289i
$211$	−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
$215$	−12.0377	−	14.1067i	−0.820967	−	0.962072i
$216$	−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
$220$	−0.470074	+	4.03848i	−0.0316924	+	0.272274i
$221$	−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	$0.201849\pi$
$223$			17.6951i			1.18495i	−0.805589	+	0.592474i	$0.798151\pi$
$224$	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	$-0.969024\pi$
$227$	−8.76537	−	15.1821i	−0.581778	−	1.00767i	0.413490	−	0.910509i	$-0.364310\pi$
$228$	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	$0.0932449\pi$
$230$	−6.38955	−	3.40913i	−0.421314	−	0.224791i
$231$	−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	0.618967	−	0.785417i	$-0.287551\pi$
$233$	3.78953	+	2.18788i	0.248260	+	0.143333i	−0.370707	+	0.928750i	$0.620885\pi$
$234$	−16.0736	+	6.31302i	−1.05076	+	0.412695i
$235$	21.7383	−	4.01922i	1.41805	−	0.262185i
$236$	−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	$-0.151347\pi$
$240$	20.1892	−	2.20974i	1.30321	−	0.142638i
$241$	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
$245$	−15.0162	+	4.41754i	−0.959348	+	0.282226i
$246$	−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
$250$	15.6891	+	1.96299i	0.992263	+	0.124150i
$251$			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
$255$	5.81442	+	31.4478i	0.364113	+	1.96934i
$256$	9.95103	−	12.5290i	0.621939	−	0.783066i
$257$	−3.21050	+	5.56075i	−0.200266	+	0.346870i	−0.948614	−	0.316436i	$-0.897514\pi$
$257$	−3.21050	+	5.56075i	−0.200266	+	0.346870i	0.748348	+	0.663306i	$0.230847\pi$
$258$	3.96283	−	26.3359i	0.246715	−	1.63960i
$259$	3.10302	+	2.79800i	0.192812	+	0.173859i
$260$	−15.1151	+	20.3233i	−0.937397	+	1.26040i
$261$	−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	0.948261	−	0.317491i	$-0.102840\pi$
$263$	3.23009	+	5.59468i	0.199176	+	0.344983i	−0.749086	+	0.662473i	$0.769507\pi$
$264$	−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	$0.847998\pi$
$270$	−0.202812	−	6.05643i	−0.0123427	−	0.368583i
$271$	−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
$275$	−4.24513	+	1.62534i	−0.255991	+	0.0980114i
$276$	−2.31936	−	10.1386i	−0.139609	−	0.610274i
$277$	−5.77685	−	10.0058i	−0.347097	−	0.601190i	0.638635	−	0.769510i	$-0.279499\pi$
$277$	−5.77685	−	10.0058i	−0.347097	−	0.601190i	−0.985733	+	0.168319i	$0.946166\pi$
$278$	19.8139	+	15.7930i	1.18836	+	0.947203i
$279$	6.11954			0.366368
$280$	0.806458	+	16.7138i	0.0481951	+	0.998838i
$281$	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	$0.0697447\pi$
$283$	11.3769	+	19.7053i	0.676285	+	1.17136i	−0.299806	+	0.954000i	$0.596922\pi$
$284$	−1.58211	+	0.361931i	−0.0938809	+	0.0214766i
$285$	3.67745	+	4.30952i	0.217833	+	0.255274i
$286$	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
$290$	−19.6414	+	0.657731i	−1.15338	+	0.0386233i
$291$	−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	$0.0814344\pi$
$293$			8.66311i			0.506104i	−0.967453	+	0.253052i	$0.918566\pi$
$294$	−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
$300$	12.6436	+	18.8613i	0.729980	+	1.08895i
$301$	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
$305$	−0.794553	−	4.29741i	−0.0454960	−	0.246069i
$306$	−11.9707	+	15.0184i	−0.684319	+	0.858546i
$307$	−11.6862			−0.666967			−0.333484	−	0.942756i	$-0.608224\pi$
$307$	−11.6862			−0.666967			−0.333484	+	0.942756i	$0.608224\pi$
$308$	−2.46647	−	4.13025i	−0.140540	−	0.235343i
$309$			4.10608i			0.233587i
$310$	7.61837	−	4.74533i	0.432695	−	0.269517i
$311$	−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	$-0.578430\pi$
$313$	12.7012	−	21.9992i	0.717916	−	1.24347i	0.961824	−	0.273668i	$-0.0882370\pi$
$314$	−2.77076	+	18.4137i	−0.156363	+	1.03915i
$315$	−12.7508	−	0.348556i	−0.718426	−	0.0196389i
$316$	−6.67542	+	21.6793i	−0.375522	+	1.21956i
$317$	−11.9131	+	20.6342i	−0.669109	+	1.15893i	0.309045	+	0.951048i	$0.399991\pi$
$317$	−11.9131	+	20.6342i	−0.669109	+	1.15893i	−0.978154	+	0.207883i	$0.933343\pi$
$318$	6.02246	+	15.3338i	0.337723	+	0.859877i
$319$	4.89295	−	2.82495i	0.273953	−	0.158167i
$320$	17.5677	+	3.37290i	0.982063	+	0.188551i
$321$		−	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
$325$	−27.9650	−	4.45405i	−1.55122	−	0.247066i
$326$	−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
$330$	−5.75955	−	3.07300i	−0.317053	−	0.169163i
$331$	−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	$0.0881267\pi$
$337$			10.0355i			0.546669i	−0.961919	+	0.273335i	$0.911873\pi$
$338$	16.8143	−	21.0951i	0.914575	−	1.14742i
$339$	26.5969	−	15.3557i	1.44455	−	0.834009i
$340$	−3.25676	+	27.9793i	−0.176623	+	1.51739i
$341$	−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
$345$	8.84540	−	7.54806i	0.476220	−	0.406374i
$346$	25.3594	−	9.96008i	1.36333	−	0.535457i
$347$	−6.86288	+	3.96228i	−0.368418	+	0.212706i	−0.672767	−	0.739854i	$-0.734894\pi$
$347$	−6.86288	+	3.96228i	−0.368418	+	0.212706i	0.304349	+	0.952561i	$0.401561\pi$
$348$	−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	$0.551919\pi$
$350$	−16.1441	+	9.45353i	−0.862936	+	0.505313i
$351$			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	$-0.792915\pi$
$353$	−17.3298	−	30.0161i	−0.922371	−	1.59759i	−0.126636	−	0.991949i	$-0.540418\pi$
$354$	34.4368	−	13.5253i	1.83029	−	0.718860i
$355$	−1.17786	−	1.38030i	−0.0625141	−	0.0732588i
$356$	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	$0.710125\pi$
$360$	−3.57448	+	13.1594i	−0.188392	+	0.693563i
$361$	−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	−0.136218	−	0.990679i	$-0.543495\pi$
$367$	12.5217	−	7.22938i	0.653625	−	0.377371i	0.789844	+	0.613308i	$0.210162\pi$
$368$	0.675524	−	9.13571i	0.0352141	−	0.476232i
$369$	−0.304482	−	0.175793i	−0.0158507	−	0.00915141i
$370$	4.40601	+	2.35082i	0.229058	+	0.122213i
$371$	−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	−0.773347	−	0.633983i	$-0.781419\pi$
$373$	3.13591	−	5.43156i	0.162372	−	0.281236i	0.935719	+	0.352747i	$0.114752\pi$
$374$	−2.96045	−	7.53761i	−0.153081	−	0.389761i
$375$	−12.1427	+	22.2950i	−0.627047	+	1.15131i
$376$	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	$0.716591\pi$
$380$	1.97859	+	4.58087i	0.101500	+	0.234994i
$381$	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	0.296454	−	0.955047i	$-0.404196\pi$
$383$	−7.48398	−	4.32088i	−0.382413	−	0.220786i	−0.678868	+	0.734261i	$0.737529\pi$
$384$	12.8836	+	22.2259i	0.657463	+	1.13421i
$385$	2.81551	−	4.58267i	0.143492	−	0.233555i
$386$	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	$0.411870\pi$
$390$	−21.5009	−	34.5186i	−1.08874	−	1.74792i
$391$	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
$395$	−24.9386	+	4.61092i	−1.25480	+	0.232001i
$396$	−0.874245	−	3.82159i	−0.0439325	−	0.192042i
$397$	−13.5336	−	7.81361i	−0.679230	−	0.392154i	0.120335	−	0.992733i	$-0.461603\pi$
$397$	−13.5336	−	7.81361i	−0.679230	−	0.392154i	−0.799565	+	0.600580i	$0.794937\pi$
$398$	−30.5241	−	4.59303i	−1.53003	−	0.230228i
$399$	−6.55579	−	1.39838i	−0.328200	−	0.0700068i
$400$	5.75437	+	19.1543i	0.287719	+	0.957715i
$401$	−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	$0.245508\pi$
$410$	−0.515374	+	0.0172584i	−0.0254525	+	0.000852329i
$411$	−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
$415$	−13.2817	+	11.3337i	−0.651971	+	0.556348i
$416$	−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	$-0.0466020\pi$
$420$	−25.4519	−	8.60526i	−1.24193	−	0.419894i
$421$		−	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
$425$	−29.4111	+	11.2606i	−1.42665	+	0.546221i
$426$	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
$430$	26.2115	−	0.877746i	1.26403	−	0.0423287i
$431$	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	$-0.620861\pi$
$433$	−15.4250			−0.741276			−0.370638	+	0.928777i	$0.620861\pi$
$434$	−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	$0.300397\pi$
$440$	−4.05178	−	4.07967i	−0.193161	−	0.194491i
$441$	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	$0.0583320\pi$
$443$	34.3644	+	19.8403i	1.63270	+	0.942640i	0.649445	+	0.760409i	$0.275001\pi$
$444$	1.59935	+	6.99125i	0.0759019	+	0.331790i
$445$	31.5096	−	5.82584i	1.49370	−	0.276171i
$446$	−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	$0.555279\pi$
$450$	−14.8905	+	3.27203i	−0.701947	+	0.154245i
$451$	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
$455$	29.4637	−	15.9537i	1.38128	−	0.747920i
$456$	−3.10445	+	6.45874i	−0.145379	+	0.302458i
$457$	21.0598	+	12.1589i	0.985137	+	0.568769i	0.903817	−	0.427919i	$-0.140753\pi$
$457$	21.0598	+	12.1589i	0.985137	+	0.568769i	0.0813202	+	0.996688i	$0.474086\pi$
$458$	3.57727	+	9.10810i	0.167155	+	0.425594i
$459$	6.03497	+	10.4529i	0.281688	+	0.487898i
$460$	9.40236	−	4.06111i	0.438387	−	0.189350i
$461$	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	$-0.512166\pi$
$463$	−1.64446			−0.0764246			−0.0382123	+	0.999270i	$0.512166\pi$
$464$	−10.8079	−	22.3860i	−0.501744	−	1.03925i
$465$	2.62009	+	14.1710i	0.121504	+	0.657163i
$466$	−5.75994	+	2.26226i	−0.266824	+	0.104797i
$467$	7.96501	−	13.7958i	0.368577	−	0.638393i	−0.620767	−	0.783995i	$-0.713179\pi$
$467$	7.96501	−	13.7958i	0.368577	−	0.638393i	0.989343	+	0.145602i	$0.0465119\pi$
$468$	7.18692	−	23.3405i	0.332216	−	1.07891i
$469$	5.74112	+	17.7125i	0.265100	+	0.817887i
$470$	−14.7169	+	27.5831i	−0.678841	+	1.27231i
$471$	−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	$-0.377962\pi$
$480$	−15.3525	+	24.2750i	−0.700743	+	1.10800i
$481$	−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
$485$	17.0056	−	14.5114i	0.772186	−	0.658931i
$486$	9.72942	+	24.7721i	0.441335	+	1.12369i
$487$	−6.04240	−	10.4658i	−0.273808	−	0.474249i	0.696026	−	0.718017i	$-0.254950\pi$
$487$	−6.04240	−	10.4658i	−0.273808	−	0.474249i	−0.969834	+	0.243768i	$0.921616\pi$
$488$	4.56511	−	3.11741i	0.206653	−	0.141119i
$489$		−	39.0871i		−	1.76758i
$490$	8.35103	−	20.5003i	0.377261	−	0.926107i
$491$	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
$495$	3.33412	−	2.84511i	0.149858	−	0.127878i
$496$	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	$-0.0220368\pi$
$500$	−16.0004	+	15.6201i	−0.715558	+	0.698554i
$501$	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	$-0.903934\pi$
$503$		−	13.3328i		−	0.594481i	0.954803	−	0.297241i	$-0.0960663\pi$
$504$	−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	$0.213812\pi$
$510$	−39.9033	−	21.2903i	−1.76695	−	0.942750i
$511$	−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
$515$	−3.97607	+	0.735139i	−0.175206	+	0.0323941i
$516$	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
$520$	−9.15193	−	34.6302i	−0.401339	−	1.51863i
$521$	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	−0.621811	−	0.783167i	$-0.713603\pi$
$523$	8.40071	−	14.5505i	0.367337	−	0.636247i	0.989148	+	0.146920i	$0.0469361\pi$
$524$	−4.81813	+	15.6475i	−0.210481	+	0.683564i
$525$	−4.65211	−	29.6761i	−0.203035	−	1.29517i
$526$	−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
$530$	−13.7700	+	8.57708i	−0.598132	+	0.372564i
$531$			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
$535$	7.83415	−	1.44847i	0.338700	−	0.0626226i
$536$	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
$540$	6.87655	+	5.11430i	0.295920	+	0.220084i
$541$	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	$0.0331446\pi$
$547$			4.86184i			0.207877i	−0.994584	+	0.103939i	$0.966855\pi$
$548$	−6.96481	−	7.49883i	−0.297522	−	0.320334i
$549$	2.10696	+	3.64936i	0.0899229	+	0.155751i
$550$	1.94452	−	6.12736i	0.0829147	−	0.261272i
$551$	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
$555$	−6.09948	+	5.20488i	−0.258909	+	0.220935i
$556$	−34.9309	+	7.99095i	−1.48140	+	0.338892i
$557$	−11.4750	−	19.8753i	−0.486211	−	0.842142i	0.513663	−	0.857992i	$-0.328288\pi$
$557$	−11.4750	−	19.8753i	−0.486211	−	0.842142i	−0.999874	+	0.0158495i	$0.994955\pi$
$558$	−5.39422	+	6.76757i	−0.228355	+	0.286494i
$559$	−46.9699			−1.98662
$560$	−19.1945	−	13.8409i	−0.811117	−	0.584884i
$561$	13.0026			0.548970
$562$	−14.6788	+	18.4160i	−0.619187	+	0.776831i
$563$	7.57987	+	13.1287i	0.319453	+	0.553309i	0.980374	−	0.197146i	$-0.0631674\pi$
$563$	7.57987	+	13.1287i	0.319453	+	0.553309i	−0.660921	+	0.750456i	$0.729834\pi$
$564$	−43.7676	+	10.0125i	−1.84295	+	0.421602i
$565$	19.6313	+	23.0055i	0.825897	+	0.967849i
$566$	−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	$0.155784\pi$
$570$	−8.00745	+	0.268146i	−0.335395	+	0.0112314i
$571$	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	0.657152	−	0.753758i	$-0.271761\pi$
$577$	−7.78749	−	13.4883i	−0.324198	−	0.561527i	−0.981350	+	0.192231i	$0.938428\pi$
$578$	−11.7216	−	29.8444i	−0.487555	−	1.24136i
$579$	32.5699	+	18.8042i	1.35356	+	0.781477i
$580$	16.5860	−	22.3011i	0.688695	−	0.926001i
$581$	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
$585$	26.8495	−	4.96423i	1.11009	−	0.205246i
$586$	−9.58049	−	7.63630i	−0.395766	−	0.315453i
$587$	−17.6761			−0.729572			−0.364786	−	0.931091i	$-0.618858\pi$
$587$	−17.6761			−0.729572			−0.364786	+	0.931091i	$0.618858\pi$
$588$	30.0932	−	10.2466i	1.24102	−	0.422562i
$589$			3.16688i			0.130489i
$590$	19.2625	+	30.9248i	0.793023	+	1.27315i
$591$	−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	−0.938616	−	0.344963i	$-0.887891\pi$
$593$	−4.15344	+	7.19397i	−0.170561	+	0.295421i	0.768055	+	0.640384i	$0.221225\pi$
$594$	−2.43634	−	0.366602i	−0.0999644	−	0.0150419i
$595$	19.5064	−	31.7496i	0.799685	−	1.30161i
$596$	−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	$0.345705\pi$
$600$	−32.0036	−	2.64317i	−1.30654	−	0.107907i
$601$		−	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
$605$	−4.13592	−	22.3695i	−0.168149	−	0.909448i
$606$	20.4094	+	51.9645i	0.829076	+	2.11091i
$607$	−23.1622	−	13.3727i	−0.940124	−	0.542781i	−0.0501251	−	0.998743i	$-0.515962\pi$
$607$	−23.1622	−	13.3727i	−0.940124	−	0.542781i	−0.889999	+	0.455962i	$0.849295\pi$
$608$	−4.28738	+	4.63219i	−0.173876	+	0.187860i
$609$	11.5119	+	35.5166i	0.466487	+	1.43921i
$610$	5.45286	+	2.90936i	0.220780	+	0.117797i
$611$	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	0.937859	−	0.347016i	$-0.112805\pi$
$613$	4.16951	+	7.22180i	0.168405	+	0.291686i	−0.769454	+	0.638702i	$0.779472\pi$
$614$	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	$0.163372\pi$
$617$			24.3929i			0.982021i	−0.871154	+	0.491011i	$0.836628\pi$
$618$	−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	$0.642780\pi$
$620$	−1.46756	+	12.6080i	−0.0589385	+	0.506350i
$621$	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
$625$	−23.7630	−	7.76660i	−0.950520	−	0.310664i
$626$	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
$630$	11.6250	−	13.7938i	0.463149	−	0.549558i
$631$			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
$635$	−2.29554	+	1.95886i	−0.0910957	+	0.0777349i
$636$	−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
$640$	−19.2155	+	16.4549i	−0.759560	+	0.650437i
$641$	−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	$-0.527798\pi$
$643$	−4.42331			−0.174438			−0.0872191	+	0.996189i	$0.527798\pi$
$644$	−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	−0.493550	−	0.869717i	$-0.664301\pi$
$647$	0.327418	−	0.189035i	0.0128721	−	0.00743172i	0.506422	+	0.862286i	$0.330968\pi$
$648$	2.30959	+	30.5150i	0.0907294	+	1.19874i
$649$	−9.07099	−	5.23714i	−0.356067	−	0.205576i
$650$	29.5761	−	27.0002i	1.16007	−	1.05904i
$651$	−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	$0.507129\pi$
$653$	−22.4109	+	38.8168i	−0.877005	+	1.51902i	−0.854611	+	0.519268i	$0.826205\pi$
$654$	5.96905	−	2.34439i	0.233408	−	0.0916727i
$655$	−17.9999	+	3.32803i	−0.703315	+	0.130037i
$656$	−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	$0.657653\pi$
$660$	8.47531	−	3.66070i	0.329901	−	0.142492i
$661$	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
$665$	0.180379	−	6.59857i	0.00699479	−	0.255881i
$666$	−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
$670$	11.7662	+	18.8900i	0.454568	+	0.729784i
$671$	−1.77683			−0.0685938
$672$	−3.06405	−	33.8463i	−0.118198	−	1.30565i
$673$			1.93910i			0.0747467i	0.999301	+	0.0373733i	$0.0118991\pi$
$673$			1.93910i			0.0747467i	−0.999301	+	0.0373733i	$0.988101\pi$
$674$	−11.0982	−	8.84605i	−0.427488	−	0.340737i
$675$	−1.50706	+	9.46216i	−0.0580068	+	0.364199i
$676$	8.50767	+	37.1896i	0.327218	+	1.43037i
$677$	36.9976	+	21.3606i	1.42193	+	0.820954i	0.996464	−	0.0840182i	$-0.0267754\pi$
$677$	36.9976	+	21.3606i	1.42193	+	0.820954i	0.425470	+	0.904972i	$0.360109\pi$
$678$	−6.46265	+	42.9491i	−0.248197	+	1.64945i
$679$	−5.51811	+	25.8695i	−0.211766	+	0.992782i
$680$	−28.0715	−	28.2647i	−1.07649	−	1.08390i
$681$	−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	0.279730	−	0.960079i	$-0.409755\pi$
$683$	32.6952	−	18.8766i	1.25105	−	0.722293i	0.971318	+	0.237786i	$0.0764217\pi$
$684$	−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
$690$	0.550376	+	16.4355i	0.0209525	+	0.625689i
$691$	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
$695$	−26.0055	−	30.4752i	−0.986444	−	1.15599i
$696$	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
$700$	3.77595	−	26.1867i	0.142718	−	0.989763i
$701$			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
$705$	−32.5843	−	38.1848i	−1.22720	−	1.43812i
$706$	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	$0.584669\pi$
$710$	2.56472	−	0.0858848i	0.0962522	−	0.00322320i
$711$	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	$-0.104782\pi$
$720$	−11.4021	−	15.5527i	−0.424933	−	0.579615i
$721$	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
$725$	30.6864	+	4.88749i	1.13966	+	0.181517i
$726$	20.3629	−	25.5472i	0.755737	−	0.948146i
$727$			7.15590i			0.265397i	0.991156	+	0.132699i	$0.0423643\pi$
$727$			7.15590i			0.265397i	−0.991156	+	0.132699i	$0.957636\pi$
$728$	33.5276	+	25.9250i	1.24262	+	0.960845i
$729$	−10.2739			−0.380516
$730$	−24.3738	+	15.1820i	−0.902116	+	0.561910i
$731$	−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	−0.0337089	−	0.999432i	$-0.510732\pi$
$733$	−24.8024	−	14.3197i	−0.916097	−	0.528909i	−0.882388	+	0.470523i	$0.844065\pi$
$734$	−3.04258	+	20.2202i	−0.112304	+	0.746340i
$735$	25.7356	+	24.5136i	0.949273	+	0.904198i
$736$	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	$-0.373594\pi$
$740$	−6.48354	+	2.80040i	−0.238340	+	0.102945i
$741$	14.3490			0.527124
$742$	6.75310	−	17.9680i	0.247914	−	0.659625i
$743$	−22.3184			−0.818782			−0.409391	−	0.912359i	$-0.634259\pi$
$743$	−22.3184			−0.818782			−0.409391	+	0.912359i	$0.634259\pi$
$744$	−15.0537	+	10.2799i	−0.551896	+	0.376878i
$745$	−15.6652	+	2.89635i	−0.573928	+	0.106114i
$746$	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
$750$	−13.9524	−	33.0810i	−0.509470	−	1.20795i
$751$	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	$-0.675950\pi$
$757$	−28.8916			−1.05008			−0.525042	+	0.851076i	$0.675950\pi$
$758$	21.5925	−	27.0899i	0.784275	−	0.983949i
$759$	−2.36386	−	4.09432i	−0.0858027	−	0.148615i
$760$	−6.81004	−	1.84980i	−0.247026	−	0.0670994i
$761$	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
$765$	23.0994	−	19.7115i	0.835162	−	0.712670i
$766$	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	$-0.0512784\pi$
$770$	2.58615	+	7.15317i	0.0931984	+	0.257782i
$771$	14.5802			0.525092
$772$	22.5427	+	24.2712i	0.811331	+	0.873538i
$773$	−24.6869	+	14.2530i	−0.887925	+	0.512644i	−0.873263	−	0.487249i	$-0.838001\pi$
$773$	−24.6869	+	14.2530i	−0.887925	+	0.512644i	−0.0146619	+	0.999893i	$0.504667\pi$
$774$	−23.5377	+	9.24461i	−0.846046	+	0.332291i
$775$	−13.2532	+	5.07425i	−0.476068	+	0.182272i
$776$	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
$780$	57.1264	+	6.64945i	2.04545	+	0.238089i
$781$	−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	$-0.884959\pi$
$787$	−21.7112	−	37.6050i	−0.773922	−	1.34047i	0.161477	−	0.986877i	$-0.448374\pi$
$788$	−7.19608	−	31.4562i	−0.256350	−	1.12058i
$789$	7.33456	−	12.7038i	0.261117	−	0.452269i
$790$	16.8835	−	31.6438i	0.600688	−	1.12584i
$791$	−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
$795$	−4.73575	−	25.6137i	−0.167960	−	0.908425i
$796$	31.9856	−	29.7078i	1.13370	−	1.05296i
$797$		−	11.3329i		−	0.401432i	−0.979649	−	0.200716i	$-0.935673\pi$
$797$		−	11.3329i		−	0.401432i	0.979649	−	0.200716i	$-0.0643268\pi$
$798$	7.32522	−	6.01738i	0.259310	−	0.213013i
$799$		−	62.2708i		−	2.20298i
$800$	−26.2550	−	10.5203i	−0.928254	−	0.371948i
$801$	−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
$805$	−13.5437	−	0.370232i	−0.477354	−	0.0130490i
$806$	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	$-0.576932\pi$
$810$	−29.0414	+	18.0893i	−1.02041	+	0.635594i
$811$			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
$815$	37.8494	−	6.99803i	1.32581	−	0.245130i
$816$	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
$820$	0.435203	−	0.585163i	0.0151979	−	0.0204348i
$821$	−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	0.570791	−	0.821096i	$-0.306637\pi$
$823$	−12.2123	−	21.1523i	−0.425694	−	0.737324i	−0.996485	+	0.0837714i	$0.973303\pi$
$824$	−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	$0.117752\pi$
$827$			20.7945i			0.723096i	−0.932353	+	0.361548i	$0.882248\pi$
$828$	−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	$-0.440403\pi$
$830$	−0.826408	−	24.6785i	−0.0286850	−	0.856602i
$831$	−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
$835$	0.414847	+	0.486150i	0.0143564	+	0.0168239i
$836$	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	$0.355448\pi$
$840$	31.9517	−	20.5619i	1.10244	−	0.709451i
$841$	−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
$845$	−32.4459	+	27.6871i	−1.11617	+	0.952465i
$846$	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
$850$	13.4720	−	42.4515i	0.462086	−	1.45607i
$851$	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	$0.0169299\pi$
$853$			3.10531i			0.106324i	−0.998586	+	0.0531619i	$0.983070\pi$
$854$	−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	0.610126	−	0.792304i	$-0.291119\pi$
$857$	−11.1563	−	19.3233i	−0.381093	−	0.660072i	−0.991219	+	0.132233i	$0.957785\pi$
$858$	−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	$0.549778\pi$
$860$	−22.1341	+	29.7609i	−0.754766	+	1.01484i
$861$	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	$-0.631277\pi$
$863$	17.4205	−	30.1732i	0.593001	−	1.02711i	0.993826	−	0.110953i	$-0.0353902\pi$
$864$	−2.39907	+	10.5713i	−0.0816179	+	0.359644i
$865$	−42.3605	+	7.83208i	−1.44030	+	0.266299i
$866$	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
$870$	23.5933	+	37.8777i	0.799886	+	1.28417i
$871$	−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
$875$	27.9036	−	9.81792i	0.943312	−	0.331906i
$876$	−39.4126	−	12.1358i	−1.33163	−	0.410031i
$877$	−19.9212	+	34.5045i	−0.672691	+	1.16513i	0.304448	+	0.952529i	$0.401528\pi$
$877$	−19.9212	+	34.5045i	−0.672691	+	1.16513i	−0.977138	+	0.212605i	$0.931805\pi$
$878$	−8.83647	−	22.4986i	−0.298216	−	0.759290i
$879$	17.0359	−	9.83567i	0.574606	−	0.331749i
$880$	8.08322	−	0.884720i	0.272485	−	0.0298239i
$881$			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	$-0.572591\pi$
$883$		−	57.8919i		−	1.94822i	0.226080	−	0.974109i	$-0.427409\pi$
$884$	48.5524	+	52.2750i	1.63299	+	1.75820i
$885$	−57.5234	+	10.6356i	−1.93363	+	0.357511i
$886$	−52.2326	+	20.5147i	−1.75479	+	0.689205i
$887$	−7.94580	−	4.58751i	−0.266794	−	0.154033i	0.360636	−	0.932707i	$-0.382560\pi$
$887$	−7.94580	−	4.58751i	−0.266794	−	0.154033i	−0.627430	+	0.778673i	$0.715893\pi$
$888$	−9.14138	−	4.39389i	−0.306765	−	0.147449i
$889$	0.744873	−	3.49205i	0.0249822	−	0.117120i
$890$	−21.3321	+	39.9816i	−0.715053	+	1.34019i
$891$	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
$900$	9.50711	−	19.3516i	0.316904	−	0.645053i
$901$	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
$905$	−26.1636	+	22.3263i	−0.869709	+	0.742150i
$906$	8.50974	−	3.34226i	0.282717	−	0.111039i
$907$	−9.48163	+	5.47422i	−0.314832	+	0.181769i	−0.649087	−	0.760714i	$-0.724849\pi$
$907$	−9.48163	+	5.47422i	−0.314832	+	0.181769i	0.334254	+	0.942483i	$0.391516\pi$
$908$	−25.6901	+	23.8606i	−0.852555	+	0.791842i
$909$	−37.4842			−1.24327
$910$	−8.32840	+	46.6465i	−0.276084	+	1.54632i
$911$			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
$915$	−7.54870	+	6.44154i	−0.249552	+	0.212951i
$916$	−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	$0.369545\pi$
$920$	−3.79677	+	13.9778i	−0.125176	+	0.460834i
$921$	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	$0.468084\pi$
$930$	−17.9811	−	9.59380i	−0.589625	−	0.314593i
$931$	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
$935$	2.32794	+	12.5909i	0.0761318	+	0.411766i
$936$	19.4770	+	28.5220i	0.636627	+	0.932271i
$937$	−1.16006			−0.0378974			−0.0189487	−	0.999820i	$-0.506032\pi$
$937$	−1.16006			−0.0378974			−0.0189487	+	0.999820i	$0.506032\pi$
$938$	−24.6488	−	9.26403i	−0.804812	−	0.302481i
$939$	−57.6814			−1.88236
$940$	−17.5315	−	40.5892i	−0.571813	−	1.32387i
$941$	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
$945$	−5.39804	−	9.96927i	−0.175598	−	0.324300i
$946$	1.58661	−	10.5442i	0.0515852	−	0.342822i
$947$	19.2076	+	11.0895i	0.624165	+	0.360362i	0.778489	−	0.627659i	$-0.215987\pi$
$947$	19.2076	+	11.0895i	0.624165	+	0.360362i	−0.154324	+	0.988020i	$0.549320\pi$
$948$	50.2110	−	11.4865i	1.63078	−	0.373064i
$949$	44.5380	−	25.7140i	1.44576	−	0.834712i
$950$	−1.69328	−	7.70590i	−0.0549374	−	0.250012i
$951$	54.1024			1.75439
$952$	46.7081	+	6.32576i	1.51382	+	0.205019i
$953$		−	31.9975i		−	1.03650i	−0.855229	−	0.518250i	$-0.826584\pi$
$953$		−	31.9975i		−	1.03650i	0.855229	−	0.518250i	$-0.173416\pi$
$954$	9.74993	−	12.2322i	0.315665	−	0.396033i
$955$	49.4047	−	9.13449i	1.59870	−	0.295585i
$956$	−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
$960$	−13.3127	−	38.3760i	−0.429666	−	1.23858i
$961$	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	$-0.276998\pi$
$967$	40.0936			1.28932			0.644662	+	0.764468i	$0.276998\pi$
$968$	23.7629	−	16.2272i	0.763770	−	0.521561i
$969$	13.8202	−	7.97908i	0.443968	−	0.256325i
$970$	1.05812	+	31.5979i	0.0339742	+	1.01455i
$971$	−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
$975$	22.9912	+	60.0496i	0.736309	+	1.92313i
$976$	−0.576495	+	7.79645i	−0.0184532	+	0.249558i
$977$	48.2743	−	27.8712i	1.54443	−	0.891678i	0.545881	−	0.837863i	$-0.316195\pi$
$977$	48.2743	−	27.8712i	1.54443	−	0.891678i	0.998551	−	0.0538151i	$-0.0171381\pi$
$978$	43.2262	+	34.4543i	1.38222	+	1.10173i
$979$		−	13.0281i		−	0.416380i
$980$	15.3099	+	27.3058i	0.489057	+	0.872252i
$981$			4.30573i			0.137471i
$982$	−16.5135	+	20.7177i	−0.526965	+	0.661130i
$983$	−39.4861	+	22.7973i	−1.25941	+	0.727122i	−0.972960	−	0.230973i	$-0.925809\pi$
$983$	−39.4861	+	22.7973i	−1.25941	+	0.727122i	−0.286452	+	0.958095i	$0.592476\pi$
$984$	1.04431	−	0.0790409i	0.0332915	−	0.00251973i
$985$	27.4438	−	23.4187i	0.874433	−	0.746182i
$986$	−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
$990$	0.207455	+	6.19508i	0.00659335	+	0.196893i
$991$	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	−0.342296	−	0.939592i	$-0.611205\pi$
$997$	9.48099	−	5.47385i	0.300266	−	0.173359i	0.642562	+	0.766233i	$0.277871\pi$
$998$	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.19.13	✓	80
4.3	odd	2		1120.2.bq.b.719.33		80
5.4	even	2	inner	280.2.ba.b.19.28	yes	80
7.3	odd	6	inner	280.2.ba.b.59.15	yes	80
8.3	odd	2	inner	280.2.ba.b.19.26	yes	80
8.5	even	2		1120.2.bq.b.719.34		80
20.19	odd	2		1120.2.bq.b.719.7		80
28.3	even	6		1120.2.bq.b.1039.8		80
35.24	odd	6	inner	280.2.ba.b.59.26	yes	80
40.19	odd	2	inner	280.2.ba.b.19.15	yes	80
40.29	even	2		1120.2.bq.b.719.8		80
56.3	even	6	inner	280.2.ba.b.59.28	yes	80
56.45	odd	6		1120.2.bq.b.1039.7		80
140.59	even	6		1120.2.bq.b.1039.34		80
280.59	even	6	inner	280.2.ba.b.59.13	yes	80
280.269	odd	6		1120.2.bq.b.1039.33		80

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

\(f(q)\)	\(=\)	\(q+(-0.881474 + 1.10590i) q^{2} +(-1.13535 - 1.96648i) q^{3} +(-0.446008 - 1.94964i) q^{4} +(1.70095 - 1.45147i) q^{5} +(3.17551 + 0.477826i) q^{6} +(-0.551936 + 2.58754i) q^{7} +(2.54924 + 1.22531i) q^{8} +(-1.07804 + 1.86722i) q^{9} +O(q^{10})\)	\(q+(-0.881474 + 1.10590i) q^{2} +(-1.13535 - 1.96648i) q^{3} +(-0.446008 - 1.94964i) q^{4} +(1.70095 - 1.45147i) 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} +(0.105836 + 3.16051i) 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} +(-3.58848 - 2.66886i) 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} +(0.786450 - 4.93776i) q^{25} +(6.26323 + 4.99222i) q^{26} -1.91628 q^{27} +(5.29093 - 0.0779898i) q^{28} +6.21463i q^{29} +(6.09493 - 3.79641i) 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} +(2.81693 + 5.20239i) 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} +(6.11463 - 1.61595i) q^{40} +0.163067i q^{41} +(-2.98907 + 7.95302i) q^{42} -8.29346i q^{43} +(-1.33226 + 1.23739i) q^{44} +(0.876531 + 4.74080i) 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} +(4.76741 + 5.22224i) 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} +(-1.17409 + 10.0868i) 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} +(-8.22041 - 9.63331i) q^{65} +(-1.06727 - 2.71737i) q^{66} +(6.09472 - 3.51879i) q^{67} +(-9.23017 + 8.57286i) q^{68} +5.20028 q^{69} +(-8.23635 - 1.47054i) q^{70} -0.811490i q^{71} +(-5.03612 + 3.43905i) q^{72} +(4.54031 + 7.86404i) q^{73} +(0.816449 + 2.07877i) q^{74} +(-10.6029 + 4.05955i) 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} +(-3.60281 + 8.18656i) 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} +(-6.01546 - 3.20954i) 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} +(-2.45337 + 0.453607i) 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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