LMFDB - Embedded newform 280.2.w.a.267.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(43,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 2, 3, 0]))

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

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

chi := DirichletCharacter("280.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.w (of order $4$, 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:	$72$
Relative dimension:	$36$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			267.12
Character	$\chi$	$=$	280.267
Dual form			280.2.w.a.43.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.700587 + 1.22849i) q^{2} +(0.311152 - 0.311152i) q^{3} +(-1.01836 - 1.72132i) q^{4} +(-1.92300 - 1.14109i) q^{5} +(0.164256 + 0.600234i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(2.82807 - 0.0450980i) q^{8} +2.80637i q^{9} +O(q^{10})$	\(q+(-0.700587 + 1.22849i) q^{2} +(0.311152 - 0.311152i) q^{3} +(-1.01836 - 1.72132i) q^{4} +(-1.92300 - 1.14109i) q^{5} +(0.164256 + 0.600234i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(2.82807 - 0.0450980i) q^{8} +2.80637i q^{9} +(2.74904 - 1.56295i) q^{10} -5.26682 q^{11} +(-0.852455 - 0.218730i) q^{12} +(-2.51015 - 2.51015i) q^{13} +(-0.373281 - 1.36406i) q^{14} +(-0.953394 + 0.243293i) q^{15} +(-1.92591 + 3.50584i) q^{16} +(-4.97496 - 4.97496i) q^{17} +(-3.44759 - 1.96611i) q^{18} -0.888035i q^{19} +(-0.00588124 + 4.47213i) q^{20} +0.440035i q^{21} +(3.68987 - 6.47021i) q^{22} +(-1.26201 - 1.26201i) q^{23} +(0.865925 - 0.893990i) q^{24} +(2.39585 + 4.38861i) q^{25} +(4.84226 - 1.32510i) q^{26} +(1.80666 + 1.80666i) q^{27} +(1.93724 + 0.497073i) q^{28} +1.37173 q^{29} +(0.369053 - 1.34168i) q^{30} +5.24038i q^{31} +(-2.95761 - 4.82209i) q^{32} +(-1.63878 + 1.63878i) q^{33} +(9.59706 - 2.62628i) q^{34} +(2.16663 - 0.552896i) q^{35} +(4.83067 - 2.85788i) q^{36} +(4.60750 - 4.60750i) q^{37} +(1.09094 + 0.622146i) q^{38} -1.56207 q^{39} +(-5.48983 - 3.14034i) q^{40} +1.29582 q^{41} +(-0.540576 - 0.308283i) q^{42} +(-5.98333 + 5.98333i) q^{43} +(5.36349 + 9.06590i) q^{44} +(3.20231 - 5.39664i) q^{45} +(2.43452 - 0.666216i) q^{46} +(-1.47478 + 1.47478i) q^{47} +(0.491598 + 1.69009i) q^{48} -1.00000i q^{49} +(-7.06985 - 0.131340i) q^{50} -3.09593 q^{51} +(-1.76455 + 6.87700i) q^{52} +(-7.34254 - 7.34254i) q^{53} +(-3.48518 + 0.953734i) q^{54} +(10.1281 + 6.00989i) q^{55} +(-1.96786 + 2.03163i) q^{56} +(-0.276313 - 0.276313i) q^{57} +(-0.961014 + 1.68515i) q^{58} +1.92199i q^{59} +(1.38968 + 1.39334i) q^{60} -6.47306i q^{61} +(-6.43773 - 3.67134i) q^{62} +(-1.98440 - 1.98440i) q^{63} +(7.99593 - 0.255081i) q^{64} +(1.96272 + 7.69131i) q^{65} +(-0.865109 - 3.16132i) q^{66} +(4.76214 + 4.76214i) q^{67} +(-3.49724 + 13.6298i) q^{68} -0.785356 q^{69} +(-0.838692 + 3.04903i) q^{70} +15.1454i q^{71} +(0.126562 + 7.93660i) q^{72} +(8.78788 - 8.78788i) q^{73} +(2.43229 + 8.88821i) q^{74} +(2.11099 + 0.620052i) q^{75} +(-1.52860 + 0.904335i) q^{76} +(3.72420 - 3.72420i) q^{77} +(1.09437 - 1.91898i) q^{78} +1.86500 q^{79} +(7.70397 - 4.54410i) q^{80} -7.29482 q^{81} +(-0.907837 + 1.59190i) q^{82} +(0.380334 - 0.380334i) q^{83} +(0.757442 - 0.448112i) q^{84} +(3.88999 + 15.2437i) q^{85} +(-3.15859 - 11.5423i) q^{86} +(0.426815 - 0.426815i) q^{87} +(-14.8949 + 0.237523i) q^{88} -7.38267i q^{89} +(4.38621 + 7.71481i) q^{90} +3.54989 q^{91} +(-0.887156 + 3.45751i) q^{92} +(1.63055 + 1.63055i) q^{93} +(-0.778535 - 2.84496i) q^{94} +(-1.01332 + 1.70769i) q^{95} +(-2.42066 - 0.580138i) q^{96} +(7.22963 + 7.22963i) q^{97} +(1.22849 + 0.700587i) q^{98} -14.7806i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q + 8 q^{6}+O(q^{10}) $ 72 * q + 8 * q^6	$ 72 q + 8 q^{6} + 16 q^{10} - 16 q^{12} - 8 q^{16} + 8 q^{17} - 28 q^{18} - 20 q^{20} - 36 q^{22} - 8 q^{25} - 32 q^{26} - 4 q^{30} + 40 q^{32} + 64 q^{36} - 4 q^{40} + 20 q^{42} - 64 q^{43} + 48 q^{46} - 80 q^{48} - 32 q^{51} + 16 q^{52} - 24 q^{56} + 4 q^{58} - 80 q^{60} - 40 q^{62} - 8 q^{65} + 32 q^{66} - 24 q^{68} + 40 q^{72} - 40 q^{73} + 112 q^{75} - 8 q^{76} + 28 q^{78} - 20 q^{80} - 72 q^{81} + 24 q^{82} + 80 q^{83} + 8 q^{86} - 88 q^{88} + 136 q^{90} - 96 q^{92} - 56 q^{96} - 8 q^{97}+O(q^{100}) $ 72 * q + 8 * q^6 + 16 * q^10 - 16 * q^12 - 8 * q^16 + 8 * q^17 - 28 * q^18 - 20 * q^20 - 36 * q^22 - 8 * q^25 - 32 * q^26 - 4 * q^30 + 40 * q^32 + 64 * q^36 - 4 * q^40 + 20 * q^42 - 64 * q^43 + 48 * q^46 - 80 * q^48 - 32 * q^51 + 16 * q^52 - 24 * q^56 + 4 * q^58 - 80 * q^60 - 40 * q^62 - 8 * q^65 + 32 * q^66 - 24 * q^68 + 40 * q^72 - 40 * q^73 + 112 * q^75 - 8 * q^76 + 28 * q^78 - 20 * q^80 - 72 * q^81 + 24 * q^82 + 80 * q^83 + 8 * q^86 - 88 * q^88 + 136 * q^90 - 96 * q^92 - 56 * q^96 - 8 * q^97

Display 100 coefficients 10 coefficients

Character values

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

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$1$

Coefficient data

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

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

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

$2$	−0.700587	+	1.22849i	−0.495390	+	0.868671i
$2$	−0.700587	+	1.22849i	−0.495390	+	0.868671i
$3$	0.311152	−	0.311152i	0.179643	−	0.179643i	−0.611557	−	0.791200i	$-0.709456\pi$
$3$	0.311152	−	0.311152i	0.179643	−	0.179643i	0.791200	+	0.611557i	$0.209456\pi$
$4$	−1.01836	−	1.72132i	−0.509178	−	0.860661i
$5$	−1.92300	−	1.14109i	−0.859991	−	0.510309i
$5$	−1.92300	−	1.14109i	−0.859991	−	0.510309i
$6$	0.164256	+	0.600234i	0.0670574	+	0.245044i
$7$	−0.707107	+	0.707107i	−0.267261	+	0.267261i
$7$	−0.707107	+	0.707107i	−0.267261	+	0.267261i
$8$	2.82807	−	0.0450980i	0.999873	−	0.0159446i
$9$			2.80637i			0.935456i
$10$	2.74904	−	1.56295i	0.869321	−	0.494247i
$11$	−5.26682			−1.58801			−0.794003	−	0.607914i	$-0.792007\pi$
$11$	−5.26682			−1.58801			−0.794003	+	0.607914i	$0.792007\pi$
$12$	−0.852455	−	0.218730i	−0.246083	−	0.0631418i
$13$	−2.51015	−	2.51015i	−0.696190	−	0.696190i	0.267397	−	0.963587i	$-0.413837\pi$
$13$	−2.51015	−	2.51015i	−0.696190	−	0.696190i	−0.963587	+	0.267397i	$0.913837\pi$
$14$	−0.373281	−	1.36406i	−0.0997635	−	0.364561i
$15$	−0.953394	+	0.243293i	−0.246165	+	0.0628181i
$16$	−1.92591	+	3.50584i	−0.481476	+	0.876459i
$17$	−4.97496	−	4.97496i	−1.20661	−	1.20661i	−0.972120	−	0.234486i	$-0.924659\pi$
$17$	−4.97496	−	4.97496i	−1.20661	−	1.20661i	−0.234486	−	0.972120i	$-0.575341\pi$
$18$	−3.44759	−	1.96611i	−0.812604	−	0.463416i
$19$		−	0.888035i		−	0.203729i	−0.994798	−	0.101865i	$-0.967519\pi$
$19$		−	0.888035i		−	0.203729i	0.994798	−	0.101865i	$-0.0324809\pi$
$20$	−0.00588124	+	4.47213i	−0.00131509	+	0.999999i
$21$			0.440035i			0.0960234i
$22$	3.68987	−	6.47021i	0.786682	−	1.37945i
$23$	−1.26201	−	1.26201i	−0.263148	−	0.263148i	0.563184	−	0.826332i	$-0.309576\pi$
$23$	−1.26201	−	1.26201i	−0.263148	−	0.263148i	−0.826332	+	0.563184i	$0.809576\pi$
$24$	0.865925	−	0.893990i	0.176756	−	0.182485i
$25$	2.39585	+	4.38861i	0.479170	+	0.877722i
$26$	4.84226	−	1.32510i	0.949645	−	0.259874i
$27$	1.80666	+	1.80666i	0.347692	+	0.347692i
$28$	1.93724	+	0.497073i	0.366105	+	0.0939380i
$29$	1.37173			0.254723			0.127362	−	0.991856i	$-0.459349\pi$
$29$	1.37173			0.254723			0.127362	+	0.991856i	$0.459349\pi$
$30$	0.369053	−	1.34168i	0.0673796	−	0.244956i
$31$			5.24038i			0.941199i	0.882347	+	0.470600i	$0.155962\pi$
$31$			5.24038i			0.941199i	−0.882347	+	0.470600i	$0.844038\pi$
$32$	−2.95761	−	4.82209i	−0.522836	−	0.852433i
$33$	−1.63878	+	1.63878i	−0.285275	+	0.285275i
$34$	9.59706	−	2.62628i	1.64588	−	0.450402i
$35$	2.16663	−	0.552896i	0.366228	−	0.0934565i
$36$	4.83067	−	2.85788i	0.805111	−	0.476313i
$37$	4.60750	−	4.60750i	0.757469	−	0.757469i	−0.218392	−	0.975861i	$-0.570081\pi$
$37$	4.60750	−	4.60750i	0.757469	−	0.757469i	0.975861	+	0.218392i	$0.0700812\pi$
$38$	1.09094	+	0.622146i	0.176974	+	0.100925i
$39$	−1.56207			−0.250132
$40$	−5.48983	−	3.14034i	−0.868018	−	0.496532i
$41$	1.29582			0.202374			0.101187	−	0.994867i	$-0.467736\pi$
$41$	1.29582			0.202374			0.101187	+	0.994867i	$0.467736\pi$
$42$	−0.540576	−	0.308283i	−0.0834127	−	0.0475690i
$43$	−5.98333	+	5.98333i	−0.912449	+	0.912449i	−0.996464	−	0.0840150i	$-0.973226\pi$
$43$	−5.98333	+	5.98333i	−0.912449	+	0.912449i	0.0840150	+	0.996464i	$0.473226\pi$
$44$	5.36349	+	9.06590i	0.808577	+	1.36674i
$45$	3.20231	−	5.39664i	0.477372	−	0.804484i
$46$	2.43452	−	0.666216i	0.358950	−	0.0982282i
$47$	−1.47478	+	1.47478i	−0.215119	+	0.215119i	−0.806438	−	0.591319i	$-0.798607\pi$
$47$	−1.47478	+	1.47478i	−0.215119	+	0.215119i	0.591319	+	0.806438i	$0.298607\pi$
$48$	0.491598	+	1.69009i	0.0709560	+	0.243944i
$49$		−	1.00000i		−	0.142857i
$50$	−7.06985	−	0.131340i	−0.999827	−	0.0185743i
$51$	−3.09593			−0.433517
$52$	−1.76455	+	6.87700i	−0.244700	+	0.953668i
$53$	−7.34254	−	7.34254i	−1.00857	−	1.00857i	−0.999963	−	0.00861183i	$-0.997259\pi$
$53$	−7.34254	−	7.34254i	−1.00857	−	1.00857i	−0.00861183	−	0.999963i	$-0.502741\pi$
$54$	−3.48518	+	0.953734i	−0.474273	+	0.129787i
$55$	10.1281	+	6.00989i	1.36567	+	0.810374i
$56$	−1.96786	+	2.03163i	−0.262966	+	0.271489i
$57$	−0.276313	−	0.276313i	−0.0365986	−	0.0365986i
$58$	−0.961014	+	1.68515i	−0.126187	+	0.221271i
$59$			1.92199i			0.250222i	0.992143	+	0.125111i	$0.0399287\pi$
$59$			1.92199i			0.250222i	−0.992143	+	0.125111i	$0.960071\pi$
$60$	1.38968	+	1.39334i	0.179407	+	0.179879i
$61$		−	6.47306i		−	0.828790i	−0.910097	−	0.414395i	$-0.863993\pi$
$61$		−	6.47306i		−	0.828790i	0.910097	−	0.414395i	$-0.136007\pi$
$62$	−6.43773	−	3.67134i	−0.817592	−	0.466261i
$63$	−1.98440	−	1.98440i	−0.250011	−	0.250011i
$64$	7.99593	−	0.255081i	0.999492	−	0.0318851i
$65$	1.96272	+	7.69131i	0.243445	+	0.953989i
$66$	−0.865109	−	3.16132i	−0.106488	−	0.389132i
$67$	4.76214	+	4.76214i	0.581788	+	0.581788i	0.935394	−	0.353607i	$-0.115045\pi$
$67$	4.76214	+	4.76214i	0.581788	+	0.581788i	−0.353607	+	0.935394i	$0.615045\pi$
$68$	−3.49724	+	13.6298i	−0.424102	+	1.65285i
$69$	−0.785356			−0.0945457
$70$	−0.838692	+	3.04903i	−0.100243	+	0.364429i
$71$			15.1454i			1.79742i	0.438539	+	0.898712i	$0.355496\pi$
$71$			15.1454i			1.79742i	−0.438539	+	0.898712i	$0.644504\pi$
$72$	0.126562	+	7.93660i	0.0149154	+	0.935338i
$73$	8.78788	−	8.78788i	1.02854	−	1.02854i	0.0289628	−	0.999580i	$-0.490780\pi$
$73$	8.78788	−	8.78788i	1.02854	−	1.02854i	0.999580	−	0.0289628i	$-0.00922045\pi$
$74$	2.43229	+	8.88821i	0.282749	+	1.03323i
$75$	2.11099	+	0.620052i	0.243757	+	0.0715974i
$76$	−1.52860	+	0.904335i	−0.175342	+	0.103734i
$77$	3.72420	−	3.72420i	0.424412	−	0.424412i
$78$	1.09437	−	1.91898i	0.123913	−	0.217282i
$79$	1.86500			0.209829			0.104914	−	0.994481i	$-0.466543\pi$
$79$	1.86500			0.209829			0.104914	+	0.994481i	$0.466543\pi$
$80$	7.70397	−	4.54410i	0.861330	−	0.508045i
$81$	−7.29482			−0.810535
$82$	−0.907837	+	1.59190i	−0.100254	+	0.175796i
$83$	0.380334	−	0.380334i	0.0417471	−	0.0417471i	−0.685925	−	0.727672i	$-0.740602\pi$
$83$	0.380334	−	0.380334i	0.0417471	−	0.0417471i	0.727672	+	0.685925i	$0.240602\pi$
$84$	0.757442	−	0.448112i	0.0826437	−	0.0488930i
$85$	3.88999	+	15.2437i	0.421928	+	1.65341i
$86$	−3.15859	−	11.5423i	−0.340600	−	1.24464i
$87$	0.426815	−	0.426815i	0.0457593	−	0.0457593i
$88$	−14.8949	+	0.237523i	−1.58780	+	0.0253201i
$89$		−	7.38267i		−	0.782561i	−0.920271	−	0.391281i	$-0.872032\pi$
$89$		−	7.38267i		−	0.782561i	0.920271	−	0.391281i	$-0.127968\pi$
$90$	4.38621	+	7.71481i	0.462347	+	0.813212i
$91$	3.54989			0.372129
$92$	−0.887156	+	3.45751i	−0.0924924	+	0.360471i
$93$	1.63055	+	1.63055i	0.169080	+	0.169080i
$94$	−0.778535	−	2.84496i	−0.0802998	−	0.293435i
$95$	−1.01332	+	1.70769i	−0.103965	+	0.175205i
$96$	−2.42066	−	0.580138i	−0.247058	−	0.0592101i
$97$	7.22963	+	7.22963i	0.734058	+	0.734058i	0.971421	−	0.237363i	$-0.0762831\pi$
$97$	7.22963	+	7.22963i	0.734058	+	0.734058i	−0.237363	+	0.971421i	$0.576283\pi$
$98$	1.22849	+	0.700587i	0.124096	+	0.0707700i
$99$		−	14.7806i		−	1.48551i
$100$	5.11439	−	8.59319i	0.511439	−	0.859319i
$101$			12.9082i			1.28442i	0.766530	+	0.642209i	$0.221982\pi$
$101$			12.9082i			1.28442i	−0.766530	+	0.642209i	$0.778018\pi$
$102$	2.16897	−	3.80331i	0.214760	−	0.376584i
$103$	−10.3445	−	10.3445i	−1.01928	−	1.01928i	−0.999811	−	0.0194662i	$-0.993803\pi$
$103$	−10.3445	−	10.3445i	−1.01928	−	1.01928i	−0.0194662	−	0.999811i	$-0.506197\pi$
$104$	−7.21207	−	6.98567i	−0.707202	−	0.685001i
$105$	0.502117	−	0.846186i	0.0490016	−	0.0825793i
$106$	14.1643	−	3.87611i	1.37576	−	0.376482i
$107$	−7.55170	−	7.55170i	−0.730051	−	0.730051i	0.240579	−	0.970630i	$-0.422663\pi$
$107$	−7.55170	−	7.55170i	−0.730051	−	0.730051i	−0.970630	+	0.240579i	$0.922663\pi$
$108$	1.27002	−	4.94967i	0.122208	−	0.476282i
$109$	−2.55763			−0.244977			−0.122488	−	0.992470i	$-0.539087\pi$
$109$	−2.55763			−0.244977			−0.122488	+	0.992470i	$0.539087\pi$
$110$	−14.4787	+	8.23176i	−1.38049	+	0.784867i
$111$		−	2.86726i		−	0.272149i
$112$	−1.11718	−	3.84082i	−0.105564	−	0.362924i
$113$	−4.84969	+	4.84969i	−0.456220	+	0.456220i	−0.897412	−	0.441192i	$-0.854556\pi$
$113$	−4.84969	+	4.84969i	−0.456220	+	0.456220i	0.441192	+	0.897412i	$0.354556\pi$
$114$	0.533029	−	0.145866i	0.0499227	−	0.0136616i
$115$	0.986786	+	3.86692i	0.0920183	+	0.360592i
$116$	−1.39690	−	2.36118i	−0.129699	−	0.219230i
$117$	7.04440	−	7.04440i	0.651255	−	0.651255i
$118$	−2.36114	−	1.34652i	−0.217361	−	0.123958i
$119$	7.03566			0.644958
$120$	−2.68529	+	0.731046i	−0.245132	+	0.0667351i
$121$	16.7394			1.52176
$122$	7.95206	+	4.53494i	0.719946	+	0.410574i
$123$	0.403197	−	0.403197i	0.0363551	−	0.0363551i
$124$	9.02038	−	5.33656i	0.810054	−	0.479238i
$125$	0.400570	−	11.1732i	0.0358281	−	0.999358i
$126$	3.82806	−	1.04756i	0.341031	−	0.0933244i
$127$	−3.06007	+	3.06007i	−0.271537	+	0.271537i	−0.829719	−	0.558182i	$-0.811499\pi$
$127$	−3.06007	+	3.06007i	−0.271537	+	0.271537i	0.558182	+	0.829719i	$0.311499\pi$
$128$	−5.28849	+	10.0016i	−0.467440	+	0.884025i
$129$			3.72345i			0.327831i
$130$	−10.8237	−	2.97726i	−0.949303	−	0.261123i
$131$	−0.247108			−0.0215899			−0.0107949	−	0.999942i	$-0.503436\pi$
$131$	−0.247108			−0.0215899			−0.0107949	+	0.999942i	$0.503436\pi$
$132$	4.48973	+	1.15201i	0.390781	+	0.100270i
$133$	0.627936	+	0.627936i	0.0544489	+	0.0544489i
$134$	−9.18651	+	2.51393i	−0.793594	+	0.217170i
$135$	−1.41265	−	5.53576i	−0.121582	−	0.476442i
$136$	−14.2939	−	13.8452i	−1.22569	−	1.18721i
$137$	−13.5316	−	13.5316i	−1.15608	−	1.15608i	−0.985311	−	0.170771i	$-0.945374\pi$
$137$	−13.5316	−	13.5316i	−1.15608	−	1.15608i	−0.170771	−	0.985311i	$-0.554626\pi$
$138$	0.550210	−	0.964798i	0.0468370	−	0.0821291i
$139$		−	21.7924i		−	1.84840i	−0.381903	−	0.924202i	$-0.624731\pi$
$139$		−	21.7924i		−	1.84840i	0.381903	−	0.924202i	$-0.375269\pi$
$140$	−3.15812	−	3.16643i	−0.266910	−	0.267612i
$141$			0.917761i			0.0772894i
$142$	−18.6059	−	10.6107i	−1.56137	−	0.890426i
$143$	13.2205	+	13.2205i	1.10555	+	1.10555i
$144$	−9.83867	−	5.40480i	−0.819889	−	0.450400i
$145$	−2.63783	−	1.56526i	−0.219060	−	0.129987i
$146$	4.63911	+	16.9525i	0.383935	+	1.40300i
$147$	−0.311152	−	0.311152i	−0.0256633	−	0.0256633i
$148$	−12.6231	−	3.23893i	−1.03761	−	0.266238i
$149$	−13.0292			−1.06739			−0.533695	−	0.845677i	$-0.679197\pi$
$149$	−13.0292			−1.06739			−0.533695	+	0.845677i	$0.679197\pi$
$150$	−2.24066	+	2.15893i	−0.182949	+	0.176276i
$151$			3.18027i			0.258806i	0.991592	+	0.129403i	$0.0413061\pi$
$151$			3.18027i			0.258806i	−0.991592	+	0.129403i	$0.958694\pi$
$152$	−0.0400486	−	2.51142i	−0.00324837	−	0.203703i
$153$	13.9616	−	13.9616i	1.12873	−	1.12873i
$154$	1.96600	+	7.18426i	0.158425	+	0.578924i
$155$	5.97972	−	10.0772i	0.480302	−	0.809423i
$156$	1.59074	+	2.68883i	0.127362	+	0.215279i
$157$	−5.06459	+	5.06459i	−0.404198	+	0.404198i	−0.879709	−	0.475512i	$-0.842263\pi$
$157$	−5.06459	+	5.06459i	−0.404198	+	0.404198i	0.475512	+	0.879709i	$0.342263\pi$
$158$	−1.30659	+	2.29112i	−0.103947	+	0.182272i
$159$	−4.56928			−0.362368
$160$	0.185052	+	12.6478i	0.0146296	+	0.999893i
$161$	1.78476			0.140659
$162$	5.11066	−	8.96158i	0.401531	−	0.704088i
$163$	2.13353	−	2.13353i	0.167111	−	0.167111i	−0.618597	−	0.785708i	$-0.712299\pi$
$163$	2.13353	−	2.13353i	0.167111	−	0.167111i	0.785708	+	0.618597i	$0.212299\pi$
$164$	−1.31961	−	2.23053i	−0.103044	−	0.174175i
$165$	5.02136	−	1.28138i	0.390912	−	0.0997555i
$166$	0.200778	+	0.733692i	0.0155834	+	0.0569455i
$167$	10.9648	−	10.9648i	0.848480	−	0.848480i	−0.141463	−	0.989944i	$-0.545181\pi$
$167$	10.9648	−	10.9648i	0.848480	−	0.848480i	0.989944	+	0.141463i	$0.0451807\pi$
$168$	0.0198447	+	1.24445i	0.00153105	+	0.0960112i
$169$		−	0.398312i		−	0.0306394i
$170$	−21.4519	−	5.90075i	−1.64529	−	0.452567i
$171$	2.49215			0.190580
$172$	16.3924	+	4.20609i	1.24991	+	0.320711i
$173$	3.29847	+	3.29847i	0.250778	+	0.250778i	0.821290	−	0.570511i	$-0.193255\pi$
$173$	3.29847	+	3.29847i	0.250778	+	0.250778i	−0.570511	+	0.821290i	$0.693255\pi$
$174$	0.225315	+	0.823357i	0.0170811	+	0.0624185i
$175$	−4.79734	−	1.40910i	−0.362645	−	0.106518i
$176$	10.1434	−	18.4646i	0.764587	−	1.39182i
$177$	0.598031	+	0.598031i	0.0449508	+	0.0449508i
$178$	9.06951	+	5.17220i	0.679788	+	0.387673i
$179$			12.4087i			0.927471i	0.885974	+	0.463735i	$0.153491\pi$
$179$			12.4087i			0.927471i	−0.885974	+	0.463735i	$0.846509\pi$
$180$	−12.5505	−	0.0165049i	−0.935456	−	0.00123021i
$181$			15.8187i			1.17579i	0.808937	+	0.587896i	$0.200044\pi$
$181$			15.8187i			1.17579i	−0.808937	+	0.587896i	$0.799956\pi$
$182$	−2.48700	+	4.36098i	−0.184349	+	0.323258i
$183$	−2.01410	−	2.01410i	−0.148887	−	0.148887i
$184$	−3.62598	−	3.51215i	−0.267311	−	0.258919i
$185$	−14.1178	+	3.60267i	−1.03796	+	0.264873i
$186$	−3.14545	+	0.860766i	−0.230636	+	0.0631144i
$187$	26.2022	+	26.2022i	1.91610	+	1.91610i
$188$	4.04043	+	1.03672i	0.294678	+	0.0756109i
$189$	−2.55500			−0.185849
$190$	−1.38795	−	2.44124i	−0.100693	−	0.177106i
$191$		−	18.1063i		−	1.31013i	−0.755574	−	0.655063i	$-0.772642\pi$
$191$		−	18.1063i		−	1.31013i	0.755574	−	0.655063i	$-0.227358\pi$
$192$	2.40858	−	2.56732i	0.173824	−	0.185280i
$193$	−1.30989	+	1.30989i	−0.0942877	+	0.0942877i	−0.752677	−	0.658390i	$-0.771238\pi$
$193$	−1.30989	+	1.30989i	−0.0942877	+	0.0942877i	0.658390	+	0.752677i	$0.271238\pi$
$194$	−13.9465	+	3.81651i	−1.00130	+	0.274010i
$195$	3.00386	+	1.78246i	0.215111	+	0.127645i
$196$	−1.72132	+	1.01836i	−0.122952	+	0.0727397i
$197$	−7.86514	+	7.86514i	−0.560368	+	0.560368i	−0.929412	−	0.369044i	$-0.879685\pi$
$197$	−7.86514	+	7.86514i	−0.560368	+	0.560368i	0.369044	+	0.929412i	$0.379685\pi$
$198$	18.1578	+	10.3551i	1.29042	+	0.735907i
$199$	−25.2088			−1.78700			−0.893502	−	0.449059i	$-0.851759\pi$
$199$	−25.2088			−1.78700			−0.893502	+	0.449059i	$0.851759\pi$
$200$	6.97354	+	12.3032i	0.493104	+	0.869971i
$201$	2.96349			0.209029
$202$	−15.8576	−	9.04334i	−1.11574	−	0.636287i
$203$	−0.969957	+	0.969957i	−0.0680776	+	0.0680776i
$204$	3.15276	+	5.32910i	0.220737	+	0.373112i
$205$	−2.49187	−	1.47865i	−0.174040	−	0.103273i
$206$	19.9554	−	5.46086i	1.39036	−	0.380476i
$207$	3.54168	−	3.54168i	0.246164	−	0.246164i
$208$	13.6345	−	3.96586i	0.945381	−	0.274983i
$209$			4.67712i			0.323523i
$210$	0.687751	+	1.20967i	0.0474593	+	0.0834752i
$211$	−21.4033			−1.47347			−0.736733	−	0.676184i	$-0.763632\pi$
$211$	−21.4033			−1.47347			−0.736733	+	0.676184i	$0.763632\pi$
$212$	−5.16157	+	20.1162i	−0.354498	+	1.38159i
$213$	4.71250	+	4.71250i	0.322895	+	0.322895i
$214$	14.5678	−	3.98653i	0.995833	−	0.272514i
$215$	18.3334	−	4.67845i	1.25033	−	0.319067i
$216$	5.19084	+	5.02788i	0.353192	+	0.342104i
$217$	−3.70551	−	3.70551i	−0.251546	−	0.251546i
$218$	1.79184	−	3.14201i	0.121359	−	0.212804i
$219$		−	5.46872i		−	0.369542i
$220$	0.0309754	−	23.5539i	0.00208836	−	1.58800i
$221$			24.9758i			1.68005i
$222$	3.52239	+	2.00877i	0.236407	+	0.134820i
$223$	−16.8197	−	16.8197i	−1.12633	−	1.12633i	−0.990769	−	0.135563i	$-0.956716\pi$
$223$	−16.8197	−	16.8197i	−1.12633	−	1.12633i	−0.135563	−	0.990769i	$-0.543284\pi$
$224$	5.50108	+	1.31839i	0.367556	+	0.0880887i
$225$	−12.3161	+	6.72363i	−0.821071	+	0.448242i
$226$	−2.56014	−	9.35540i	−0.170298	−	0.622312i
$227$	19.3072	+	19.3072i	1.28146	+	1.28146i	0.939835	+	0.341630i	$0.110979\pi$
$227$	19.3072	+	19.3072i	1.28146	+	1.28146i	0.341630	+	0.939835i	$0.389021\pi$
$228$	−0.194240	+	0.757010i	−0.0128638	+	0.0501342i
$229$	−2.41410			−0.159528			−0.0797640	−	0.996814i	$-0.525417\pi$
$229$	−2.41410			−0.159528			−0.0797640	+	0.996814i	$0.525417\pi$
$230$	−5.44179	−	1.49686i	−0.358821	−	0.0987001i
$231$		−	2.31758i		−	0.152486i
$232$	3.87933	−	0.0618621i	0.254691	−	0.00406145i
$233$	7.95617	−	7.95617i	0.521226	−	0.521226i	−0.396716	−	0.917942i	$-0.629850\pi$
$233$	7.95617	−	7.95617i	0.521226	−	0.521226i	0.917942	+	0.396716i	$0.129850\pi$
$234$	3.71873	+	13.5892i	0.243101	+	0.888352i
$235$	4.51885	−	1.15315i	0.294778	−	0.0752233i
$236$	3.30837	−	1.95727i	0.215357	−	0.127408i
$237$	0.580297	−	0.580297i	0.0376943	−	0.0376943i
$238$	−4.92909	+	8.64321i	−0.319506	+	0.560256i
$239$	21.1996			1.37129			0.685644	−	0.727937i	$-0.259521\pi$
$239$	21.1996			1.37129			0.685644	+	0.727937i	$0.259521\pi$
$240$	0.983201	−	3.81100i	0.0634653	−	0.245999i
$241$	−21.0364			−1.35507			−0.677536	−	0.735490i	$-0.736952\pi$
$241$	−21.0364			−1.35507			−0.677536	+	0.735490i	$0.736952\pi$
$242$	−11.7274	+	20.5641i	−0.753866	+	1.32191i
$243$	−7.68978	+	7.68978i	−0.493299	+	0.493299i
$244$	−11.1422	+	6.59187i	−0.713308	+	0.422001i
$245$	−1.14109	+	1.92300i	−0.0729013	+	0.122856i
$246$	0.212847	+	0.777797i	0.0135707	+	0.0495905i
$247$	−2.22910	+	2.22910i	−0.141834	+	0.141834i
$248$	0.236331	+	14.8201i	0.0150070	+	0.941080i
$249$		−	0.236683i		−	0.0149992i
$250$	13.4454	+	8.31987i	0.850364	+	0.526195i
$251$	−24.8065			−1.56577			−0.782886	−	0.622166i	$-0.786253\pi$
$251$	−24.8065			−1.56577			−0.782886	+	0.622166i	$0.786253\pi$
$252$	−1.39497	+	5.43663i	−0.0878749	+	0.342475i
$253$	6.64680	+	6.64680i	0.417881	+	0.417881i
$254$	−1.61540	−	5.90309i	−0.101360	−	0.370393i
$255$	5.95347	+	3.53272i	0.372821	+	0.221228i
$256$	−8.58177	−	13.5038i	−0.536361	−	0.843989i
$257$	−6.24142	−	6.24142i	−0.389329	−	0.389329i	0.485119	−	0.874448i	$-0.338776\pi$
$257$	−6.24142	−	6.24142i	−0.389329	−	0.389329i	−0.874448	+	0.485119i	$0.838776\pi$
$258$	−4.57420	−	2.60860i	−0.284777	−	0.162404i
$259$			6.51599i			0.404884i
$260$	11.2405	−	11.2110i	0.697105	−	0.695274i
$261$			3.84957i			0.238282i
$262$	0.173120	−	0.303568i	0.0106954	−	0.0187545i
$263$	−1.32920	−	1.32920i	−0.0819620	−	0.0819620i	0.664937	−	0.746899i	$-0.268458\pi$
$263$	−1.32920	−	1.32920i	−0.0819620	−	0.0819620i	−0.746899	+	0.664937i	$0.768458\pi$
$264$	−4.56067	+	4.70848i	−0.280690	+	0.289787i
$265$	5.74122	+	22.4981i	0.352681	+	1.38205i
$266$	−1.21133	+	0.331486i	−0.0742716	+	0.0203247i
$267$	−2.29713	−	2.29713i	−0.140582	−	0.140582i
$268$	3.34763	−	13.0467i	0.204489	−	0.796956i
$269$	5.50857			0.335864			0.167932	−	0.985799i	$-0.446291\pi$
$269$	5.50857			0.335864			0.167932	+	0.985799i	$0.446291\pi$
$270$	7.79029	+	2.14286i	0.474102	+	0.130410i
$271$		−	10.0602i		−	0.611113i	−0.952174	−	0.305557i	$-0.901157\pi$
$271$		−	10.0602i		−	0.611113i	0.952174	−	0.305557i	$-0.0988425\pi$
$272$	27.0227	−	7.86009i	1.63849	−	0.476588i
$273$	1.10455	−	1.10455i	0.0668505	−	0.0668505i
$274$	26.1034	−	7.14331i	1.57697	−	0.431543i
$275$	−12.6185	−	23.1140i	−0.760924	−	1.39383i
$276$	0.799771	+	1.35185i	0.0481405	+	0.0813718i
$277$	15.9868	−	15.9868i	0.960556	−	0.960556i	−0.0386952	−	0.999251i	$-0.512320\pi$
$277$	15.9868	−	15.9868i	0.960556	−	0.960556i	0.999251	+	0.0386952i	$0.0123201\pi$
$278$	26.7716	+	15.2675i	1.60566	+	0.915681i
$279$	−14.7064			−0.880451
$280$	6.10245	−	1.66134i	0.364691	−	0.0992840i
$281$	7.44981			0.444418			0.222209	−	0.974999i	$-0.428673\pi$
$281$	7.44981			0.444418			0.222209	+	0.974999i	$0.428673\pi$
$282$	−1.12746	−	0.642972i	−0.0671390	−	0.0382884i
$283$	−4.69430	+	4.69430i	−0.279047	+	0.279047i	−0.832729	−	0.553681i	$-0.813223\pi$
$283$	−4.69430	+	4.69430i	−0.279047	+	0.279047i	0.553681	+	0.832729i	$0.313223\pi$
$284$	26.0701	−	15.4234i	1.54697	−	0.915208i
$285$	0.216053	+	0.846648i	0.0127979	+	0.0501511i
$286$	−25.5033	+	6.97908i	−1.50804	+	0.412682i
$287$	−0.916286	+	0.916286i	−0.0540866	+	0.0540866i
$288$	13.5326	−	8.30013i	0.797414	−	0.489090i
$289$			32.5005i			1.91179i
$290$	3.77092	−	2.14393i	0.221436	−	0.125896i
$291$	4.49902			0.263737
$292$	−24.0760	−	6.17760i	−1.40894	−	0.361516i
$293$	−5.25139	−	5.25139i	−0.306790	−	0.306790i	0.536873	−	0.843663i	$-0.319605\pi$
$293$	−5.25139	−	5.25139i	−0.306790	−	0.306790i	−0.843663	+	0.536873i	$0.819605\pi$
$294$	0.600234	−	0.164256i	0.0350064	−	0.00957963i
$295$	2.19316	−	3.69599i	0.127691	−	0.215189i
$296$	12.8225	−	13.2381i	0.745295	−	0.769450i
$297$	−9.51536	−	9.51536i	−0.552137	−	0.552137i
$298$	9.12806	−	16.0061i	0.528774	−	0.927211i
$299$			6.33569i			0.366402i
$300$	−1.08243	−	4.26514i	−0.0624943	−	0.246248i
$301$		−	8.46171i		−	0.487725i
$302$	−3.90691	−	2.22805i	−0.224817	−	0.128210i
$303$	4.01642	+	4.01642i	0.230737	+	0.230737i
$304$	3.11331	+	1.71027i	0.178560	+	0.0980908i
$305$	−7.38631	+	12.4477i	−0.422939	+	0.712752i
$306$	7.37030	+	26.9329i	0.421332	+	1.53965i
$307$	8.13537	+	8.13537i	0.464310	+	0.464310i	0.900065	−	0.435755i	$-0.143519\pi$
$307$	8.13537	+	8.13537i	0.464310	+	0.464310i	−0.435755	+	0.900065i	$0.643519\pi$
$308$	−10.2031	−	2.61800i	−0.581377	−	0.149174i
$309$	−6.43743			−0.366213
$310$	8.19043	+	14.4060i	0.465185	+	0.818205i
$311$		−	21.8181i		−	1.23719i	−0.785709	−	0.618596i	$-0.787702\pi$
$311$		−	21.8181i		−	1.23719i	0.785709	−	0.618596i	$-0.212298\pi$
$312$	−4.41765	+	0.0704464i	−0.250100	+	0.00398824i
$313$	−2.26520	+	2.26520i	−0.128037	+	0.128037i	−0.768221	−	0.640184i	$-0.778858\pi$
$313$	−2.26520	+	2.26520i	−0.128037	+	0.128037i	0.640184	+	0.768221i	$0.278858\pi$
$314$	−2.67359	−	9.76996i	−0.150879	−	0.551351i
$315$	1.55163	+	6.08038i	0.0874245	+	0.342590i
$316$	−1.89923	−	3.21026i	−0.106840	−	0.180591i
$317$	−15.2380	+	15.2380i	−0.855854	+	0.855854i	−0.990847	−	0.134993i	$-0.956899\pi$
$317$	−15.2380	+	15.2380i	−0.855854	+	0.855854i	0.134993	+	0.990847i	$0.456899\pi$
$318$	3.20118	−	5.61330i	0.179513	−	0.314778i
$319$	−7.22463			−0.404502
$320$	−15.6672	−	8.63352i	−0.875825	−	0.482629i
$321$	−4.69945			−0.262298
$322$	−1.25038	+	2.19255i	−0.0696809	+	0.122186i
$323$	−4.41794	+	4.41794i	−0.245821	+	0.245821i
$324$	7.42872	+	12.5567i	0.412706	+	0.697597i
$325$	5.00213	−	17.0300i	0.277468	−	0.944654i
$326$	1.12629	+	4.11574i	0.0623794	+	0.227950i
$327$	−0.795811	+	0.795811i	−0.0440084	+	0.0440084i
$328$	3.66468	−	0.0584391i	0.202348	−	0.00322676i
$329$		−	2.08566i		−	0.114986i
$330$	−1.94374	+	7.06639i	−0.106999	+	0.388992i
$331$	−9.36266			−0.514618			−0.257309	−	0.966329i	$-0.582836\pi$
$331$	−9.36266			−0.514618			−0.257309	+	0.966329i	$0.582836\pi$
$332$	−1.04199	−	0.267363i	−0.0571868	−	0.0146734i
$333$	12.9304	+	12.9304i	0.708579	+	0.708579i
$334$	5.78829	+	21.1519i	0.316721	+	1.15738i
$335$	−3.72358	−	14.5916i	−0.203441	−	0.797224i
$336$	−1.54269	−	0.847465i	−0.0841606	−	0.0462330i
$337$	−3.12170	−	3.12170i	−0.170050	−	0.170050i	0.616951	−	0.787001i	$-0.288367\pi$
$337$	−3.12170	−	3.12170i	−0.170050	−	0.170050i	−0.787001	+	0.616951i	$0.788367\pi$
$338$	0.489321	+	0.279053i	0.0266156	+	0.0151785i
$339$			3.01797i			0.163914i
$340$	22.2779	−	22.2194i	1.20819	−	1.20502i
$341$		−	27.6001i		−	1.49463i
$342$	−1.74597	+	3.06158i	−0.0944113	+	0.165551i
$343$	0.707107	+	0.707107i	0.0381802	+	0.0381802i
$344$	−16.6514	+	17.1911i	−0.897785	+	0.926882i
$345$	1.51024	+	0.896158i	0.0813085	+	0.0482475i
$346$	−6.36299	+	1.74126i	−0.342077	+	0.0936107i
$347$	−6.74746	−	6.74746i	−0.362223	−	0.362223i	0.502408	−	0.864631i	$-0.332448\pi$
$347$	−6.74746	−	6.74746i	−0.362223	−	0.362223i	−0.864631	+	0.502408i	$0.832448\pi$
$348$	−1.16933	−	0.300037i	−0.0626829	−	0.0160837i
$349$	6.00242			0.321302			0.160651	−	0.987011i	$-0.448641\pi$
$349$	6.00242			0.321302			0.160651	+	0.987011i	$0.448641\pi$
$350$	5.09201	−	4.90627i	0.272179	−	0.262251i
$351$		−	9.06997i		−	0.484119i
$352$	15.5772	+	25.3971i	0.830266	+	1.35367i
$353$	1.02613	−	1.02613i	0.0546153	−	0.0546153i	−0.679272	−	0.733887i	$-0.737704\pi$
$353$	1.02613	−	1.02613i	0.0546153	−	0.0546153i	0.733887	+	0.679272i	$0.237704\pi$
$354$	−1.15365	+	0.315700i	−0.0613156	+	0.0167793i
$355$	17.2822	−	29.1245i	0.917242	−	1.54577i
$356$	−12.7080	+	7.51818i	−0.673520	+	0.398463i
$357$	2.18916	−	2.18916i	0.115862	−	0.115862i
$358$	−15.2439	−	8.69339i	−0.805667	−	0.459460i
$359$	19.4917			1.02873			0.514366	−	0.857571i	$-0.328027\pi$
$359$	19.4917			1.02873			0.514366	+	0.857571i	$0.328027\pi$
$360$	8.81296	−	15.4065i	0.464484	−	0.811994i
$361$	18.2114			0.958494
$362$	−19.4330	−	11.0824i	−1.02138	−	0.582476i
$363$	5.20849	−	5.20849i	0.273375	−	0.273375i
$364$	−3.61504	−	6.11050i	−0.189480	−	0.320277i
$365$	−26.9268	+	6.87136i	−1.40941	+	0.359663i
$366$	3.88535	−	1.06324i	0.203090	−	0.0555765i
$367$	−5.18165	+	5.18165i	−0.270480	+	0.270480i	−0.829293	−	0.558814i	$-0.811257\pi$
$367$	−5.18165	+	5.18165i	−0.270480	+	0.270480i	0.558814	+	0.829293i	$0.311257\pi$
$368$	6.85494	−	1.99390i	0.357338	−	0.103939i
$369$			3.63656i			0.189312i
$370$	5.46491	−	19.8675i	0.284107	−	1.03286i
$371$	10.3839			0.539106
$372$	1.14622	−	4.46718i	0.0594290	−	0.231613i
$373$	3.20988	+	3.20988i	0.166201	+	0.166201i	0.785307	−	0.619106i	$-0.212505\pi$
$373$	3.20988	+	3.20988i	0.166201	+	0.166201i	−0.619106	+	0.785307i	$0.712505\pi$
$374$	−50.5460	+	13.8321i	−2.61367	+	0.715242i
$375$	−3.35191	−	3.60118i	−0.173092	−	0.185964i
$376$	−4.10427	+	4.23729i	−0.211662	+	0.218522i
$377$	−3.44324	−	3.44324i	−0.177336	−	0.177336i
$378$	1.79000	−	3.13879i	0.0920678	−	0.161442i
$379$			28.6914i			1.47378i	0.676014	+	0.736889i	$0.263706\pi$
$379$			28.6914i			1.47378i	−0.676014	+	0.736889i	$0.736294\pi$
$380$	3.97141	+	0.00522275i	0.203729	+	0.000267921i
$381$			1.90429i			0.0975596i
$382$	22.2433	+	12.6850i	1.13807	+	0.649023i
$383$	8.42015	+	8.42015i	0.430249	+	0.430249i	0.888713	−	0.458464i	$-0.151600\pi$
$383$	8.42015	+	8.42015i	0.430249	+	0.430249i	−0.458464	+	0.888713i	$0.651600\pi$
$384$	1.46649	+	4.75753i	0.0748366	+	0.242782i
$385$	−11.4113	+	2.91200i	−0.581572	+	0.148409i
$386$	−0.691487	−	2.52687i	−0.0351958	−	0.128614i
$387$	−16.7914	−	16.7914i	−0.853557	−	0.853557i
$388$	5.08220	−	19.8069i	0.258010	−	1.00554i
$389$	−10.4594			−0.530313			−0.265156	−	0.964205i	$-0.585424\pi$
$389$	−10.4594			−0.530313			−0.265156	+	0.964205i	$0.585424\pi$
$390$	−4.29419	+	2.44144i	−0.217445	+	0.123627i
$391$			12.5569i			0.635032i
$392$	−0.0450980	−	2.82807i	−0.00227779	−	0.142839i
$393$	−0.0768879	+	0.0768879i	−0.00387848	+	0.00387848i
$394$	−4.15200	−	15.1724i	−0.209175	−	0.764376i
$395$	−3.58639	−	2.12812i	−0.180451	−	0.107077i
$396$	−25.4423	+	15.0519i	−1.27852	+	0.756389i
$397$	−25.7797	+	25.7797i	−1.29384	+	1.29384i	−0.361454	+	0.932390i	$0.617720\pi$
$397$	−25.7797	+	25.7797i	−1.29384	+	1.29384i	−0.932390	+	0.361454i	$0.882280\pi$
$398$	17.6610	−	30.9686i	0.885264	−	1.55232i
$399$	0.390766			0.0195628
$400$	−19.9999	−	0.0526034i	−0.999997	−	0.00263017i
$401$	26.0516			1.30096			0.650478	−	0.759525i	$-0.274569\pi$
$401$	26.0516			1.30096			0.650478	+	0.759525i	$0.274569\pi$
$402$	−2.07619	+	3.64061i	−0.103551	+	0.181577i
$403$	13.1541	−	13.1541i	0.655253	−	0.655253i
$404$	22.2192	−	13.1452i	1.10545	−	0.653996i
$405$	14.0279	+	8.32401i	0.697053	+	0.413623i
$406$	−0.512039	−	1.87112i	−0.0254121	−	0.0928620i
$407$	−24.2669	+	24.2669i	−1.20287	+	1.20287i
$408$	−8.75551	+	0.139620i	−0.433462	+	0.00691224i
$409$		−	21.2533i		−	1.05091i	−0.850822	−	0.525454i	$-0.823895\pi$
$409$		−	21.2533i		−	1.05091i	0.850822	−	0.525454i	$-0.176105\pi$
$410$	3.56227	−	2.02530i	0.175928	−	0.100023i
$411$	−8.42075			−0.415365
$412$	−7.27187	+	28.3407i	−0.358259	+	1.39625i
$413$	−1.35905	−	1.35905i	−0.0668747	−	0.0668747i
$414$	1.86965	+	6.83216i	0.0918882	+	0.335782i
$415$	−1.16538	+	0.297388i	−0.0572060	+	0.0145982i
$416$	−4.68014	+	19.5282i	−0.229463	+	0.957448i
$417$	−6.78073	−	6.78073i	−0.332054	−	0.332054i
$418$	−5.74578	−	3.27673i	−0.281035	−	0.160270i
$419$			1.82579i			0.0891954i	0.999005	+	0.0445977i	$0.0142006\pi$
$419$			1.82579i			0.0891954i	−0.999005	+	0.0445977i	$0.985799\pi$
$420$	−1.96789	−	0.00258795i	−0.0960234	−	0.000126279i
$421$		−	4.37458i		−	0.213204i	−0.994302	−	0.106602i	$-0.966003\pi$
$421$		−	4.37458i		−	0.213204i	0.994302	−	0.106602i	$-0.0339970\pi$
$422$	14.9949	−	26.2937i	0.729940	−	1.27996i
$423$	−4.13878	−	4.13878i	−0.201234	−	0.201234i
$424$	−21.0963	−	20.4341i	−1.02453	−	0.992365i
$425$	9.91392	−	33.7524i	0.480896	−	1.63723i
$426$	−9.09076	+	2.48772i	−0.440449	+	0.120531i
$427$	4.57714	+	4.57714i	0.221503	+	0.221503i
$428$	−5.30860	+	20.6892i	−0.256601	+	1.00005i
$429$	8.22716			0.397211
$430$	−7.09676	+	25.8000i	−0.342236	+	1.24419i
$431$			19.6993i			0.948881i	0.880287	+	0.474441i	$0.157350\pi$
$431$			19.6993i			0.948881i	−0.880287	+	0.474441i	$0.842650\pi$
$432$	−9.81331	+	2.85440i	−0.472143	+	0.137332i
$433$	−21.9729	+	21.9729i	−1.05595	+	1.05595i	−0.0576129	+	0.998339i	$0.518349\pi$
$433$	−21.9729	+	21.9729i	−1.05595	+	1.05595i	−0.998339	+	0.0576129i	$0.981651\pi$
$434$	7.14819	−	1.95613i	0.343124	−	0.0938973i
$435$	−1.30780	+	0.333732i	−0.0627040	+	0.0160012i
$436$	2.60458	+	4.40251i	0.124737	+	0.210842i
$437$	−1.12071	+	1.12071i	−0.0536110	+	0.0536110i
$438$	6.71825	+	3.83132i	0.321010	+	0.183067i
$439$	10.6249			0.507099			0.253549	−	0.967322i	$-0.418402\pi$
$439$	10.6249			0.507099			0.253549	+	0.967322i	$0.418402\pi$
$440$	28.9140	+	16.5396i	1.37842	+	0.788496i
$441$	2.80637			0.133637
$442$	−30.6824	−	17.4977i	−1.45941	−	0.832281i
$443$	−4.24151	+	4.24151i	−0.201520	+	0.201520i	−0.800651	−	0.599131i	$-0.795513\pi$
$443$	−4.24151	+	4.24151i	−0.201520	+	0.201520i	0.599131	+	0.800651i	$0.295513\pi$
$444$	−4.93549	+	2.91989i	−0.234228	+	0.138572i
$445$	−8.42426	+	14.1969i	−0.399348	+	0.672996i
$446$	32.4465	−	8.87911i	1.53638	−	0.420438i
$447$	−4.05404	+	4.05404i	−0.191750	+	0.191750i
$448$	−5.47361	+	5.83435i	−0.258604	+	0.275647i
$449$			14.9656i			0.706272i	0.935572	+	0.353136i	$0.114885\pi$
$449$			14.9656i			0.706272i	−0.935572	+	0.353136i	$0.885115\pi$
$450$	0.368590	−	19.8406i	0.0173755	−	0.935295i
$451$	−6.82487			−0.321371
$452$	13.2866	+	3.40917i	0.624948	+	0.160354i
$453$	0.989544	+	0.989544i	0.0464929	+	0.0464929i
$454$	−37.2450	+	10.1922i	−1.74800	+	0.478346i
$455$	−6.82643	−	4.05072i	−0.320028	−	0.189901i
$456$	−0.793894	−	0.768972i	−0.0371775	−	0.0360104i
$457$	17.3188	+	17.3188i	0.810139	+	0.810139i	0.984654	−	0.174516i	$-0.0558360\pi$
$457$	17.3188	+	17.3188i	0.810139	+	0.810139i	−0.174516	+	0.984654i	$0.555836\pi$
$458$	1.69128	−	2.96568i	0.0790285	−	0.138577i
$459$		−	17.9761i		−	0.839054i
$460$	5.65132	−	5.63647i	0.263494	−	0.262802i
$461$		−	16.7046i		−	0.778009i	−0.921236	−	0.389004i	$-0.872819\pi$
$461$		−	16.7046i		−	0.778009i	0.921236	−	0.389004i	$-0.127181\pi$
$462$	2.84712	+	1.62367i	0.132460	+	0.0755399i
$463$	4.71811	+	4.71811i	0.219269	+	0.219269i	0.808191	−	0.588921i	$-0.200447\pi$
$463$	4.71811	+	4.71811i	0.219269	+	0.219269i	−0.588921	+	0.808191i	$0.700447\pi$
$464$	−2.64181	+	4.80905i	−0.122643	+	0.223254i
$465$	−1.27495	−	4.99615i	−0.0591244	−	0.231691i
$466$	4.20005	+	15.3480i	0.194564	+	0.710984i
$467$	5.02441	+	5.02441i	0.232502	+	0.232502i	0.813736	−	0.581234i	$-0.197430\pi$
$467$	5.02441	+	5.02441i	0.232502	+	0.232502i	−0.581234	+	0.813736i	$0.697430\pi$
$468$	−19.2994	−	4.95199i	−0.892115	−	0.228906i
$469$	−6.73468			−0.310979
$470$	−1.74922	+	6.35923i	−0.0806856	+	0.293329i
$471$			3.15171i			0.145223i
$472$	0.0866781	+	5.43553i	0.00398968	+	0.250190i
$473$	31.5131	−	31.5131i	1.44898	−	1.44898i
$474$	0.306338	+	1.11944i	0.0140706	+	0.0514174i
$475$	3.89724	−	2.12760i	0.178818	−	0.0976208i
$476$	−7.16480	−	12.1106i	−0.328398	−	0.555090i
$477$	20.6059	−	20.6059i	0.943478	−	0.943478i
$478$	−14.8522	+	26.0434i	−0.679323	+	1.19120i
$479$	−13.3680			−0.610797			−0.305399	−	0.952225i	$-0.598790\pi$
$479$	−13.3680			−0.610797			−0.305399	+	0.952225i	$0.598790\pi$
$480$	3.99295	+	3.87779i	0.182252	+	0.176996i
$481$	−23.1310			−1.05468
$482$	14.7378	−	25.8429i	0.671289	−	1.17711i
$483$	0.555330	−	0.555330i	0.0252684	−	0.0252684i
$484$	−17.0467	−	28.8139i	−0.774848	−	1.30972i
$485$	−5.65294	−	22.1522i	−0.256687	−	1.00588i
$486$	−4.05942	−	14.8341i	−0.184139	−	0.672890i
$487$	−11.2159	+	11.2159i	−0.508239	+	0.508239i	−0.913986	−	0.405747i	$-0.867012\pi$
$487$	−11.2159	+	11.2159i	−0.508239	+	0.508239i	0.405747	+	0.913986i	$0.367012\pi$
$488$	−0.291922	−	18.3062i	−0.0132147	−	0.828685i
$489$		−	1.32770i		−	0.0600408i
$490$	−1.56295	−	2.74904i	−0.0706067	−	0.124189i
$491$	19.2889			0.870495			0.435247	−	0.900311i	$-0.356661\pi$
$491$	19.2889			0.870495			0.435247	+	0.900311i	$0.356661\pi$
$492$	−1.10463	−	0.283435i	−0.0498006	−	0.0127782i
$493$	−6.82428	−	6.82428i	−0.307350	−	0.307350i
$494$	−1.17674	−	4.30010i	−0.0529440	−	0.193470i
$495$	−16.8660	+	28.4232i	−0.758069	+	1.27753i
$496$	−18.3719	−	10.0925i	−0.824923	−	0.453165i
$497$	−10.7094	−	10.7094i	−0.480382	−	0.480382i
$498$	0.290762	+	0.165817i	0.0130293	+	0.00743044i
$499$		−	13.7427i		−	0.615207i	−0.951515	−	0.307604i	$-0.900473\pi$
$499$		−	13.7427i		−	0.615207i	0.951515	−	0.307604i	$-0.0995271\pi$
$500$	−19.6405	+	10.6887i	−0.878352	+	0.478015i
$501$		−	6.82342i		−	0.304848i
$502$	17.3791	−	30.4744i	0.775667	−	1.36014i
$503$	−3.61707	−	3.61707i	−0.161277	−	0.161277i	0.621855	−	0.783132i	$-0.286379\pi$
$503$	−3.61707	−	3.61707i	−0.161277	−	0.161277i	−0.783132	+	0.621855i	$0.786379\pi$
$504$	−5.70152	−	5.52253i	−0.253966	−	0.245993i
$505$	14.7294	−	24.8225i	0.655450	−	1.10459i
$506$	−12.8222	+	3.50884i	−0.570015	+	0.155987i
$507$	−0.123935	−	0.123935i	−0.00550417	−	0.00550417i
$508$	8.38360	+	2.15113i	0.371962	+	0.0954409i
$509$	39.4133			1.74696			0.873481	−	0.486858i	$-0.161857\pi$
$509$	39.4133			1.74696			0.873481	+	0.486858i	$0.161857\pi$
$510$	−8.51083	+	4.83878i	−0.376866	+	0.214265i
$511$			12.4279i			0.549780i
$512$	22.6015	−	1.08199i	0.998856	−	0.0478175i
$513$	1.60438	−	1.60438i	0.0708350	−	0.0708350i
$514$	12.0402	−	3.29484i	0.531069	−	0.145329i
$515$	8.08852	+	31.6965i	0.356423	+	1.39671i
$516$	6.40925	−	3.79179i	0.282152	−	0.166924i
$517$	7.76741	−	7.76741i	0.341610	−	0.341610i
$518$	−8.00481	−	4.56502i	−0.351711	−	0.200576i
$519$	2.05265			0.0901013
$520$	5.89756	+	21.6630i	0.258625	+	0.949986i
$521$	11.3354			0.496613			0.248307	−	0.968681i	$-0.420126\pi$
$521$	11.3354			0.496613			0.248307	+	0.968681i	$0.420126\pi$
$522$	−4.72914	−	2.69696i	−0.206989	−	0.118043i
$523$	5.07829	−	5.07829i	0.222058	−	0.222058i	−0.587306	−	0.809365i	$-0.699812\pi$
$523$	5.07829	−	5.07829i	0.222058	−	0.222058i	0.809365	+	0.587306i	$0.199812\pi$
$524$	0.251643	+	0.425352i	0.0109931	+	0.0185816i
$525$	−1.93114	+	1.05426i	−0.0842819	+	0.0460115i
$526$	2.56412	−	0.701683i	0.111801	−	0.0305948i
$527$	26.0707	−	26.0707i	1.13566	−	1.13566i
$528$	−2.58916	−	8.90142i	−0.112679	−	0.387385i
$529$		−	19.8146i		−	0.861506i
$530$	−31.6609	−	8.70890i	−1.37526	−	0.378290i
$531$	−5.39382			−0.234072
$532$	0.441419	−	1.72034i	0.0191379	−	0.0745863i
$533$	−3.25271	−	3.25271i	−0.140890	−	0.140890i
$534$	4.43133	−	1.21265i	0.191762	−	0.0524766i
$535$	5.90478	+	23.1391i	0.255286	+	1.00039i
$536$	13.6824	+	13.2529i	0.590990	+	0.572437i
$537$	3.86099	+	3.86099i	0.166614	+	0.166614i
$538$	−3.85924	+	6.76721i	−0.166384	+	0.291755i
$539$			5.26682i			0.226858i
$540$	−8.09025	+	8.06900i	−0.348149	+	0.347234i
$541$		−	6.60815i		−	0.284107i	−0.989859	−	0.142053i	$-0.954630\pi$
$541$		−	6.60815i		−	0.284107i	0.989859	−	0.142053i	$-0.0453704\pi$
$542$	12.3588	+	7.04804i	0.530856	+	0.302739i
$543$	4.92200	+	4.92200i	0.211223	+	0.211223i
$544$	−9.27575	+	38.7037i	−0.397694	+	1.65941i
$545$	4.91832	+	2.91848i	0.210678	+	0.125014i
$546$	0.583092	+	2.13076i	0.0249540	+	0.0911882i
$547$	−5.03670	−	5.03670i	−0.215354	−	0.215354i	0.591183	−	0.806537i	$-0.298661\pi$
$547$	−5.03670	−	5.03670i	−0.215354	−	0.215354i	−0.806537	+	0.591183i	$0.798661\pi$
$548$	−9.51228	+	37.0722i	−0.406344	+	1.58365i
$549$	18.1658			0.775297
$550$	37.2356	+	0.691746i	1.58773	+	0.0294962i
$551$		−	1.21814i		−	0.0518945i
$552$	−2.22104	+	0.0354180i	−0.0945337	+	0.00150749i
$553$	−1.31875	+	1.31875i	−0.0560791	+	0.0560791i
$554$	8.43943	+	30.8398i	0.358557	+	1.31026i
$555$	−3.27179	+	5.51374i	−0.138880	+	0.234045i
$556$	−37.5117	+	22.1924i	−1.59085	+	0.941166i
$557$	19.1813	−	19.1813i	0.812740	−	0.812740i	−0.172304	−	0.985044i	$-0.555121\pi$
$557$	19.1813	−	19.1813i	0.812740	−	0.812740i	0.985044	+	0.172304i	$0.0551212\pi$
$558$	10.3031	−	18.0666i	0.436167	−	0.764822i
$559$	30.0381			1.27048
$560$	−2.23437	+	8.66069i	−0.0944194	+	0.365981i
$561$	16.3057			0.688428
$562$	−5.21924	+	9.15198i	−0.220160	+	0.386053i
$563$	6.31575	−	6.31575i	0.266177	−	0.266177i	−0.561381	−	0.827558i	$-0.689730\pi$
$563$	6.31575	−	6.31575i	0.266177	−	0.266177i	0.827558	+	0.561381i	$0.189730\pi$
$564$	1.57976	−	0.934606i	0.0665200	−	0.0393540i
$565$	14.8598	−	3.79203i	0.625158	−	0.159532i
$566$	−2.47811	−	9.05565i	−0.104163	−	0.380637i
$567$	5.15822	−	5.15822i	0.216625	−	0.216625i
$568$	0.683026	+	42.8321i	0.0286591	+	1.79720i
$569$			13.8486i			0.580565i	0.956941	+	0.290282i	$0.0937492\pi$
$569$			13.8486i			0.580565i	−0.956941	+	0.290282i	$0.906251\pi$
$570$	−1.19146	−	0.327732i	−0.0499047	−	0.0137272i
$571$	25.7840			1.07903			0.539513	−	0.841978i	$-0.318609\pi$
$571$	25.7840			1.07903			0.539513	+	0.841978i	$0.318609\pi$
$572$	9.29359	−	36.2199i	0.388584	−	1.51443i
$573$	−5.63380	−	5.63380i	−0.235356	−	0.235356i
$574$	−0.483706	−	1.76758i	−0.0201895	−	0.0737774i
$575$	2.51490	−	8.56209i	0.104878	−	0.357064i
$576$	0.715850	+	22.4395i	0.0298271	+	0.934981i
$577$	−11.4880	−	11.4880i	−0.478252	−	0.478252i	0.426320	−	0.904572i	$-0.359810\pi$
$577$	−11.4880	−	11.4880i	−0.478252	−	0.478252i	−0.904572	+	0.426320i	$0.859810\pi$
$578$	−39.9264	−	22.7694i	−1.66072	−	0.947083i
$579$			0.815146i			0.0338763i
$580$	−0.00806745	+	6.13454i	−0.000334983	+	0.254723i
$581$			0.537873i			0.0223148i
$582$	−3.15196	+	5.52698i	−0.130653	+	0.229101i
$583$	38.6718	+	38.6718i	1.60162	+	1.60162i
$584$	24.4564	−	25.2490i	1.01201	−	1.04481i
$585$	−21.5846	+	5.50811i	−0.892415	+	0.227732i
$586$	10.1303	−	2.77220i	0.418480	−	0.114519i
$587$	−18.7120	−	18.7120i	−0.772327	−	0.772327i	0.206186	−	0.978513i	$-0.433895\pi$
$587$	−18.7120	−	18.7120i	−0.772327	−	0.772327i	−0.978513	+	0.206186i	$0.933895\pi$
$588$	−0.218730	+	0.852455i	−0.00902025	+	0.0351546i
$589$	4.65364			0.191750
$590$	3.00397	+	5.28363i	0.123672	+	0.217524i
$591$			4.89450i			0.201333i
$592$	7.27953	+	25.0268i	0.299187	+	1.02859i
$593$	−2.63959	+	2.63959i	−0.108395	+	0.108395i	−0.759224	−	0.650829i	$-0.774421\pi$
$593$	−2.63959	+	2.63959i	−0.108395	+	0.108395i	0.650829	+	0.759224i	$0.274421\pi$
$594$	18.3558	−	5.02314i	0.753148	−	0.206102i
$595$	−13.5296	−	8.02829i	−0.554658	−	0.329128i
$596$	13.2683	+	22.4274i	0.543491	+	0.918662i
$597$	−7.84375	+	7.84375i	−0.321023	+	0.321023i
$598$	−7.78330	−	4.43870i	−0.318283	−	0.181512i
$599$	38.0896			1.55630			0.778149	−	0.628080i	$-0.216159\pi$
$599$	38.0896			1.55630			0.778149	+	0.628080i	$0.216159\pi$
$600$	5.99800	+	1.65835i	0.244867	+	0.0677017i
$601$	23.4622			0.957044			0.478522	−	0.878076i	$-0.341173\pi$
$601$	23.4622			0.957044			0.478522	+	0.878076i	$0.341173\pi$
$602$	10.3951	+	5.92816i	0.423672	+	0.241614i
$603$	−13.3643	+	13.3643i	−0.544237	+	0.544237i
$604$	5.47426	−	3.23864i	0.222745	−	0.131778i
$605$	−32.1898	−	19.1011i	−1.30870	−	0.776569i
$606$	−7.74796	+	2.12026i	−0.314739	+	0.0861297i
$607$	−15.9379	+	15.9379i	−0.646898	+	0.646898i	−0.952242	−	0.305344i	$-0.901228\pi$
$607$	−15.9379	+	15.9379i	−0.646898	+	0.646898i	0.305344	+	0.952242i	$0.401228\pi$
$608$	−4.28219	+	2.62646i	−0.173666	+	0.106517i
$609$			0.603607i			0.0244594i
$610$	−10.1170	−	17.7947i	−0.409627	−	0.720485i
$611$	7.40384			0.299527
$612$	−38.2502	−	9.81454i	−1.54617	−	0.396729i
$613$	7.28683	+	7.28683i	0.294312	+	0.294312i	0.838781	−	0.544469i	$-0.183269\pi$
$613$	7.28683	+	7.28683i	0.294312	+	0.294312i	−0.544469	+	0.838781i	$0.683269\pi$
$614$	−15.6937	+	4.29465i	−0.633347	+	0.173318i
$615$	−1.23543	+	0.315265i	−0.0498174	+	0.0127127i
$616$	10.3643	−	10.7003i	0.417591	−	0.431126i
$617$	22.8469	+	22.8469i	0.919781	+	0.919781i	0.997013	−	0.0772320i	$-0.0246082\pi$
$617$	22.8469	+	22.8469i	0.919781	+	0.919781i	−0.0772320	+	0.997013i	$0.524608\pi$
$618$	4.50998	−	7.90829i	0.181418	−	0.318118i
$619$		−	6.11538i		−	0.245798i	−0.992419	−	0.122899i	$-0.960781\pi$
$619$		−	6.11538i		−	0.245798i	0.992419	−	0.122899i	$-0.0392191\pi$
$620$	−23.4357	−	0.0308199i	−0.941199	−	0.00123776i
$621$		−	4.56006i		−	0.182989i
$622$	26.8033	+	15.2855i	1.07471	+	0.612893i
$623$	5.22034	+	5.22034i	0.209148	+	0.209148i
$624$	3.00840	−	5.47637i	0.120433	−	0.219230i
$625$	−13.5198	+	21.0289i	−0.540793	+	0.841156i
$626$	−1.19580	−	4.36975i	−0.0477937	−	0.174650i
$627$	1.45529	+	1.45529i	0.0581188	+	0.0581188i
$628$	13.8753	+	3.56024i	0.553686	+	0.142069i
$629$	−45.8443			−1.82793
$630$	−8.55671	−	2.35368i	−0.340908	−	0.0937728i
$631$		−	47.5384i		−	1.89247i	−0.323476	−	0.946236i	$-0.604851\pi$
$631$		−	47.5384i		−	1.89247i	0.323476	−	0.946236i	$-0.395149\pi$
$632$	5.27434	−	0.0841077i	0.209802	−	0.00334563i
$633$	−6.65967	+	6.65967i	−0.264698	+	0.264698i
$634$	−8.04414	−	29.3953i	−0.319474	−	1.16744i
$635$	9.37630	−	2.39271i	0.372087	−	0.0949516i
$636$	4.65315	+	7.86521i	0.184509	+	0.311876i
$637$	−2.51015	+	2.51015i	−0.0994557	+	0.0994557i
$638$	5.06149	−	8.87536i	0.200386	−	0.351379i
$639$	−42.5035			−1.68141
$640$	21.5824	−	13.1984i	0.853120	−	0.521714i
$641$	−7.20925			−0.284748			−0.142374	−	0.989813i	$-0.545474\pi$
$641$	−7.20925			−0.284748			−0.142374	+	0.989813i	$0.545474\pi$
$642$	3.29237	−	5.77320i	0.129940	−	0.227850i
$643$	−20.3853	+	20.3853i	−0.803919	+	0.803919i	−0.983706	−	0.179787i	$-0.942459\pi$
$643$	−20.3853	+	20.3853i	−0.803919	+	0.803919i	0.179787	+	0.983706i	$0.442459\pi$
$644$	−1.81752	−	3.07215i	−0.0716202	−	0.121059i
$645$	4.24877	−	7.16018i	0.167295	−	0.281932i
$646$	−2.33222	−	8.52253i	−0.0917602	−	0.335314i
$647$	15.0325	−	15.0325i	0.590987	−	0.590987i	−0.346911	−	0.937898i	$-0.612769\pi$
$647$	15.0325	−	15.0325i	0.590987	−	0.590987i	0.937898	+	0.346911i	$0.112769\pi$
$648$	−20.6302	+	0.328982i	−0.810432	+	0.0129236i
$649$		−	10.1228i		−	0.397354i
$650$	17.4167	+	18.0760i	0.683138	+	0.709001i
$651$	−2.30595			−0.0903772
$652$	−5.84519	−	1.49981i	−0.228915	−	0.0587369i
$653$	10.7634	+	10.7634i	0.421204	+	0.421204i	0.885618	−	0.464414i	$-0.153735\pi$
$653$	10.7634	+	10.7634i	0.421204	+	0.421204i	−0.464414	+	0.885618i	$0.653735\pi$
$654$	−0.420107	−	1.53518i	−0.0164275	−	0.0600302i
$655$	0.475188	+	0.281971i	0.0185671	+	0.0110175i
$656$	−2.49563	+	4.54295i	−0.0974381	+	0.177372i
$657$	24.6620	+	24.6620i	0.962158	+	0.962158i
$658$	2.56220	+	1.46118i	0.0998849	+	0.0569629i
$659$		−	21.2452i		−	0.827597i	−0.910369	−	0.413798i	$-0.864202\pi$
$659$		−	21.2452i		−	0.827597i	0.910369	−	0.413798i	$-0.135798\pi$
$660$	−7.31920	−	7.33847i	−0.284899	−	0.285650i
$661$			3.94347i			0.153383i	0.997055	+	0.0766916i	$0.0244357\pi$
$661$			3.94347i			0.153383i	−0.997055	+	0.0766916i	$0.975564\pi$
$662$	6.55936	−	11.5019i	0.254937	−	0.447034i
$663$	7.77125	+	7.77125i	0.301810	+	0.301810i
$664$	1.05846	−	1.09276i	0.0410761	−	0.0424074i
$665$	−0.490991	−	1.92405i	−0.0190398	−	0.0746114i
$666$	−24.9436	+	6.82592i	−0.966545	+	0.264499i
$667$	−1.73114	−	1.73114i	−0.0670299	−	0.0670299i
$668$	−30.0400	−	7.70789i	−1.16228	−	0.298227i
$669$	−10.4670			−0.404676
$670$	20.5343	+	5.64832i	0.793307	+	0.218214i
$671$			34.0924i			1.31612i
$672$	2.12189	−	1.30145i	0.0818536	−	0.0502045i
$673$	−10.7095	+	10.7095i	−0.412820	+	0.412820i	−0.882720	−	0.469900i	$-0.844290\pi$
$673$	−10.7095	+	10.7095i	−0.412820	+	0.412820i	0.469900	+	0.882720i	$0.344290\pi$
$674$	6.02199	−	1.64794i	0.231958	−	0.0634763i
$675$	−3.60025	+	12.2572i	−0.138574	+	0.471780i
$676$	−0.685624	+	0.405623i	−0.0263702	+	0.0156009i
$677$	−17.4179	+	17.4179i	−0.669423	+	0.669423i	−0.957582	−	0.288159i	$-0.906957\pi$
$677$	−17.4179	+	17.4179i	−0.669423	+	0.669423i	0.288159	+	0.957582i	$0.406957\pi$
$678$	−3.70754	−	2.11435i	−0.142387	−	0.0812013i
$679$	−10.2242			−0.392370
$680$	11.6886	+	42.9348i	0.448238	+	1.64647i
$681$	12.0149			0.460413
$682$	33.9064	+	19.3363i	1.29834	+	0.740425i
$683$	−18.1169	+	18.1169i	−0.693225	+	0.693225i	−0.962940	−	0.269715i	$-0.913070\pi$
$683$	−18.1169	+	18.1169i	−0.693225	+	0.693225i	0.269715	+	0.962940i	$0.413070\pi$
$684$	−2.53790	−	4.28980i	−0.0970390	−	0.164025i
$685$	10.5805	+	41.4619i	0.404261	+	1.58418i
$686$	−1.36406	+	0.373281i	−0.0520801	+	0.0142519i
$687$	−0.751150	+	0.751150i	−0.0286581	+	0.0286581i
$688$	−9.45325	−	32.4999i	−0.360402	−	1.23905i
$689$			36.8617i			1.40432i
$690$	−2.15897	+	1.22747i	−0.0821906	+	0.0467289i
$691$	4.24749			0.161582			0.0807911	−	0.996731i	$-0.474255\pi$
$691$	4.24749			0.161582			0.0807911	+	0.996731i	$0.474255\pi$
$692$	2.31872	−	9.03675i	0.0881445	−	0.343526i
$693$	10.4515	+	10.4515i	0.397019	+	0.397019i
$694$	13.0163	−	3.56197i	0.494094	−	0.135211i
$695$	−24.8670	+	41.9067i	−0.943258	+	1.58961i
$696$	1.18781	−	1.22631i	0.0450239	−	0.0464831i
$697$	−6.44667	−	6.44667i	−0.244185	−	0.244185i
$698$	−4.20522	+	7.37389i	−0.159170	+	0.279106i
$699$		−	4.95115i		−	0.187270i
$700$	2.45988	+	9.69273i	0.0929748	+	0.366351i
$701$		−	36.5829i		−	1.38172i	−0.722991	−	0.690858i	$-0.757233\pi$
$701$		−	36.5829i		−	1.38172i	0.722991	−	0.690858i	$-0.242767\pi$
$702$	11.1423	+	6.35431i	0.420540	+	0.239828i
$703$	−4.09162	−	4.09162i	−0.154319	−	0.154319i
$704$	−42.1131	+	1.34346i	−1.58720	+	0.0506337i
$705$	1.04724	−	1.76485i	0.0394415	−	0.0664682i
$706$	0.541692	+	1.97948i	0.0203869	+	0.0744986i
$707$	−9.12750	−	9.12750i	−0.343275	−	0.343275i
$708$	0.420397	−	1.63841i	0.0157995	−	0.0615753i
$709$	41.9289			1.57467			0.787336	−	0.616524i	$-0.211460\pi$
$709$	41.9289			1.57467			0.787336	+	0.616524i	$0.211460\pi$
$710$	23.6714	+	41.6352i	0.888372	+	1.56254i
$711$			5.23387i			0.196286i
$712$	−0.332944	−	20.8787i	−0.0124776	−	0.782462i
$713$	6.61343	−	6.61343i	0.247675	−	0.247675i
$714$	1.15565	+	4.22304i	0.0432492	+	0.158043i
$715$	−10.3373	−	40.5087i	−0.386592	−	1.51494i
$716$	21.3594	−	12.6365i	0.798238	−	0.472247i
$717$	6.59629	−	6.59629i	0.246343	−	0.246343i
$718$	−13.6556	+	23.9453i	−0.509623	+	0.893629i
$719$	−7.96228			−0.296943			−0.148471	−	0.988917i	$-0.547435\pi$
$719$	−7.96228			−0.296943			−0.148471	+	0.988917i	$0.547435\pi$
$720$	12.7524	+	21.6202i	0.475254	+	0.805737i
$721$	14.6294			0.544826
$722$	−12.7587	+	22.3724i	−0.474829	+	0.832616i
$723$	−6.54550	+	6.54550i	−0.243430	+	0.243430i
$724$	27.2290	−	16.1090i	1.01196	−	0.598687i
$725$	3.28645	+	6.01997i	0.122056	+	0.223576i
$726$	2.74955	+	10.0476i	0.102046	+	0.372900i
$727$	−23.0415	+	23.0415i	−0.854563	+	0.854563i	−0.990691	−	0.136128i	$-0.956534\pi$
$727$	−23.0415	+	23.0415i	−0.854563	+	0.854563i	0.136128	+	0.990691i	$0.456534\pi$
$728$	10.0393	−	0.160093i	0.372082	−	0.00593343i
$729$		−	17.0991i		−	0.633299i
$730$	10.4232	−	37.8932i	0.385780	−	1.40249i
$731$	59.5337			2.20193
$732$	−1.41585	+	5.51799i	−0.0523313	+	0.203951i
$733$	−12.8976	−	12.8976i	−0.476383	−	0.476383i	0.427590	−	0.903973i	$-0.359363\pi$
$733$	−12.8976	−	12.8976i	−0.476383	−	0.476383i	−0.903973	+	0.427590i	$0.859363\pi$
$734$	−2.73538	−	9.99577i	−0.100965	−	0.368951i
$735$	0.243293	+	0.953394i	0.00897401	+	0.0351665i
$736$	−2.35301	+	9.81809i	−0.0867331	+	0.361900i
$737$	−25.0813	−	25.0813i	−0.923882	−	0.923882i
$738$	−4.46746	−	2.54773i	−0.164450	−	0.0937831i
$739$			13.1041i			0.482041i	0.970520	+	0.241020i	$0.0774821\pi$
$739$			13.1041i			0.482041i	−0.970520	+	0.241020i	$0.922518\pi$
$740$	20.5783	+	20.6325i	0.756472	+	0.758464i
$741$			1.38718i			0.0509592i
$742$	−7.27484	+	12.7565i	−0.267068	+	0.468305i
$743$	−12.4171	−	12.4171i	−0.455539	−	0.455539i	0.441649	−	0.897188i	$-0.354394\pi$
$743$	−12.4171	−	12.4171i	−0.455539	−	0.455539i	−0.897188	+	0.441649i	$0.854394\pi$
$744$	4.68484	+	4.53777i	0.171755	+	0.166363i
$745$	25.0551	+	14.8674i	0.917946	+	0.544699i
$746$	−6.19208	+	1.69449i	−0.226708	+	0.0620397i
$747$	1.06736	+	1.06736i	0.0390526	+	0.0390526i
$748$	18.4193	−	71.7857i	0.673477	−	2.62474i
$749$	10.6797			0.390229
$750$	6.77231	−	1.59483i	0.247290	−	0.0582349i
$751$		−	25.5440i		−	0.932114i	−0.884755	−	0.466057i	$-0.845674\pi$
$751$		−	25.5440i		−	0.932114i	0.884755	−	0.466057i	$-0.154326\pi$
$752$	−2.33005	−	8.01063i	−0.0849683	−	0.292118i
$753$	−7.71857	+	7.71857i	−0.281280	+	0.281280i
$754$	6.64225	−	1.81768i	0.241897	−	0.0661960i
$755$	3.62895	−	6.11565i	0.132071	−	0.222571i
$756$	2.60190	+	4.39799i	0.0946302	+	0.159953i
$757$	14.9325	−	14.9325i	0.542730	−	0.542730i	−0.381598	−	0.924328i	$-0.624626\pi$
$757$	14.9325	−	14.9325i	0.542730	−	0.542730i	0.924328	+	0.381598i	$0.124626\pi$
$758$	−35.2470	−	20.1008i	−1.28023	−	0.730095i
$759$	4.13633			0.150139
$760$	−2.78874	+	4.87516i	−0.101158	+	0.176841i
$761$	−31.8113			−1.15316			−0.576580	−	0.817041i	$-0.695613\pi$
$761$	−31.8113			−1.15316			−0.576580	+	0.817041i	$0.695613\pi$
$762$	−2.33939	−	1.33412i	−0.0847472	−	0.0483301i
$763$	1.80852	−	1.80852i	0.0654728	−	0.0654728i
$764$	−31.1668	+	18.4386i	−1.12758	+	0.667087i
$765$	−42.7794	+	10.9167i	−1.54669	+	0.394696i
$766$	−16.2431	+	4.44498i	−0.586886	+	0.160604i
$767$	4.82449	−	4.82449i	0.174202	−	0.174202i
$768$	−6.87197	−	1.53150i	−0.247971	−	0.0552633i
$769$		−	46.6530i		−	1.68235i	−0.540763	−	0.841175i	$-0.681864\pi$
$769$		−	46.6530i		−	1.68235i	0.540763	−	0.841175i	$-0.318136\pi$
$770$	4.41724	−	16.0587i	0.159186	−	0.578716i
$771$	−3.88405			−0.139881
$772$	3.58867	+	0.920808i	0.129159	+	0.0331406i
$773$	−34.0126	−	34.0126i	−1.22335	−	1.22335i	−0.966434	−	0.256916i	$-0.917294\pi$
$773$	−34.0126	−	34.0126i	−1.22335	−	1.22335i	−0.256916	−	0.966434i	$-0.582706\pi$
$774$	32.3919	−	8.86418i	1.16430	−	0.318616i
$775$	−22.9980	+	12.5551i	−0.826112	+	0.450994i
$776$	20.7719	+	20.1198i	0.745669	+	0.722260i
$777$	2.02746	+	2.02746i	0.0727348	+	0.0727348i
$778$	7.32773	−	12.8492i	0.262712	−	0.460667i
$779$		−	1.15074i		−	0.0412294i
$780$	0.00918693	−	6.98580i	0.000328945	−	0.250132i
$781$		−	79.7679i		−	2.85432i
$782$	−15.4260	−	8.79724i	−0.551634	−	0.314589i
$783$	2.47824	+	2.47824i	0.0885652	+	0.0885652i
$784$	3.50584	+	1.92591i	0.125208	+	0.0687823i
$785$	15.5183	−	3.96007i	0.553873	−	0.141341i
$786$	−0.0405890	−	0.148322i	−0.00144776	−	0.00529048i
$787$	−5.43980	−	5.43980i	−0.193908	−	0.193908i	0.603474	−	0.797382i	$-0.293783\pi$
$787$	−5.43980	−	5.43980i	−0.193908	−	0.193908i	−0.797382	+	0.603474i	$0.793783\pi$
$788$	21.5480	+	5.52894i	0.767614	+	0.196960i
$789$	−0.827165			−0.0294479
$790$	5.12695	−	2.91489i	0.182409	−	0.103707i
$791$		−	6.85849i		−	0.243860i
$792$	−0.666578	−	41.8007i	−0.0236858	−	1.48532i
$793$	−16.2483	+	16.2483i	−0.576995	+	0.576995i
$794$	−13.6090	−	49.7309i	−0.482967	−	1.76488i
$795$	8.78672	+	5.21394i	0.311633	+	0.184919i
$796$	25.6715	+	43.3925i	0.909902	+	1.53801i
$797$	−4.87318	+	4.87318i	−0.172617	+	0.172617i	−0.788128	−	0.615511i	$-0.788950\pi$
$797$	−4.87318	+	4.87318i	−0.172617	+	0.172617i	0.615511	+	0.788128i	$0.288950\pi$
$798$	−0.273766	+	0.480051i	−0.00969121	+	0.0169936i
$799$	14.6740			0.519127
$800$	14.0763	−	24.5328i	0.497673	−	0.867365i
$801$	20.7185			0.732052
$802$	−18.2514	+	32.0040i	−0.644480	+	1.13010i
$803$	−46.2842	+	46.2842i	−1.63333	+	1.63333i
$804$	−3.01789	−	5.10113i	−0.106433	−	0.179903i
$805$	−3.43209	−	2.03656i	−0.120965	−	0.0717794i
$806$	6.94404	+	25.3753i	0.244593	+	0.893805i
$807$	1.71400	−	1.71400i	0.0603357	−	0.0603357i
$808$	0.582136	+	36.5054i	0.0204795	+	1.28425i
$809$			8.04062i			0.282693i	0.989960	+	0.141347i	$0.0451432\pi$
$809$			8.04062i			0.282693i	−0.989960	+	0.141347i	$0.954857\pi$
$810$	−20.0537	+	11.4014i	−0.704616	+	0.400605i
$811$	−49.1561			−1.72610			−0.863052	−	0.505116i	$-0.831450\pi$
$811$	−49.1561			−1.72610			−0.863052	+	0.505116i	$0.831450\pi$
$812$	2.65737	+	0.681848i	0.0932554	+	0.0239282i
$813$	−3.13024	−	3.13024i	−0.109782	−	0.109782i
$814$	−12.8105	−	46.8126i	−0.449006	−	1.64078i
$815$	−6.53732	+	1.66824i	−0.228992	+	0.0584358i
$816$	5.96247	−	10.8538i	0.208728	−	0.379960i
$817$	5.31341	+	5.31341i	0.185893	+	0.185893i
$818$	26.1094	+	14.8898i	0.912893	+	0.520609i
$819$			9.96229i			0.348111i
$820$	−0.00762105	+	5.79509i	−0.000266139	+	0.202373i
$821$			32.8602i			1.14683i	0.819265	+	0.573415i	$0.194382\pi$
$821$			32.8602i			1.14683i	−0.819265	+	0.573415i	$0.805618\pi$
$822$	5.89947	−	10.3448i	0.205768	−	0.360815i
$823$	−22.7550	−	22.7550i	−0.793190	−	0.793190i	0.188821	−	0.982012i	$-0.439533\pi$
$823$	−22.7550	−	22.7550i	−0.793190	−	0.793190i	−0.982012	+	0.188821i	$0.939533\pi$
$824$	−29.7215	−	28.7885i	−1.03540	−	1.00290i
$825$	−11.1182	−	3.26570i	−0.387087	−	0.113697i
$826$	2.62172	−	0.717443i	0.0912212	−	0.0249630i
$827$	25.7858	+	25.7858i	0.896659	+	0.896659i	0.995139	−	0.0984803i	$-0.0313981\pi$
$827$	25.7858	+	25.7858i	0.896659	+	0.896659i	−0.0984803	+	0.995139i	$0.531398\pi$
$828$	−9.70306	−	2.48969i	−0.337205	−	0.0865226i
$829$	36.5633			1.26990			0.634948	−	0.772555i	$-0.281021\pi$
$829$	36.5633			1.26990			0.634948	+	0.772555i	$0.281021\pi$
$830$	0.451110	−	1.63999i	0.0156583	−	0.0569250i
$831$		−	9.94866i		−	0.345115i
$832$	−20.7113	−	19.4307i	−0.718034	−	0.673638i
$833$	−4.97496	+	4.97496i	−0.172372	+	0.172372i
$834$	13.0805	−	3.57954i	0.452941	−	0.123949i
$835$	−33.5970	+	8.57351i	−1.16267	+	0.296698i
$836$	8.05084	−	4.76297i	0.278444	−	0.164731i
$837$	−9.46758	+	9.46758i	−0.327247	+	0.327247i
$838$	−2.24295	−	1.27912i	−0.0774815	−	0.0441865i
$839$	45.7726			1.58025			0.790123	−	0.612948i	$-0.210017\pi$
$839$	45.7726			1.58025			0.790123	+	0.612948i	$0.210017\pi$
$840$	1.38186	−	2.41572i	0.0476787	−	0.0833501i
$841$	−27.1184			−0.935116
$842$	5.37411	+	3.06477i	0.185204	+	0.105619i
$843$	2.31802	−	2.31802i	0.0798368	−	0.0798368i
$844$	21.7962	+	36.8420i	0.750255	+	1.26815i
$845$	−0.454508	+	0.765954i	−0.0156356	+	0.0263496i
$846$	7.98401	−	2.18486i	0.274496	−	0.0751169i
$847$	−11.8365	+	11.8365i	−0.406708	+	0.406708i
$848$	39.8828	−	11.6007i	1.36958	−	0.398370i
$849$			2.92128i			0.100258i
$850$	34.5188	+	35.8256i	1.18399	+	1.22881i
$851$	−11.6295			−0.398653
$852$	3.31274	−	12.9107i	0.113493	−	0.442315i
$853$	9.37530	+	9.37530i	0.321004	+	0.321004i	0.849152	−	0.528148i	$-0.177113\pi$
$853$	9.37530	+	9.37530i	0.321004	+	0.321004i	−0.528148	+	0.849152i	$0.677113\pi$
$854$	−8.82964	+	2.41627i	−0.302144	+	0.0826830i
$855$	−4.79241	−	2.84376i	−0.163897	−	0.0972546i
$856$	−21.6973	−	21.0162i	−0.741598	−	0.718318i
$857$	−12.6672	−	12.6672i	−0.432703	−	0.432703i	0.456844	−	0.889547i	$-0.348980\pi$
$857$	−12.6672	−	12.6672i	−0.432703	−	0.432703i	−0.889547	+	0.456844i	$0.848980\pi$
$858$	−5.76384	+	10.1069i	−0.196774	+	0.345045i
$859$		−	3.08727i		−	0.105336i	−0.998612	−	0.0526682i	$-0.983227\pi$
$859$		−	3.08727i		−	0.105336i	0.998612	−	0.0526682i	$-0.0167726\pi$
$860$	−26.7231	−	26.7934i	−0.911249	−	0.913649i
$861$			0.570207i			0.0194326i
$862$	−24.2003	−	13.8011i	−0.824265	−	0.470066i
$863$	−28.4898	−	28.4898i	−0.969804	−	0.969804i	0.0297530	−	0.999557i	$-0.490528\pi$
$863$	−28.4898	−	28.4898i	−0.969804	−	0.969804i	−0.999557	+	0.0297530i	$0.990528\pi$
$864$	3.36849	−	14.0553i	0.114599	−	0.478170i
$865$	−2.57912	−	10.1068i	−0.0876927	−	0.343641i
$866$	−11.5995	−	42.3874i	−0.394167	−	1.44038i
$867$	10.1126	+	10.1126i	0.343441	+	0.343441i
$868$	−2.60485	+	10.1519i	−0.0884144	+	0.344578i
$869$	−9.82261			−0.333209
$870$	0.506240	−	1.84042i	0.0171631	−	0.0623960i
$871$		−	23.9073i		−	0.810069i
$872$	−7.23315	+	0.115344i	−0.244946	+	0.00390604i
$873$	−20.2890	+	20.2890i	−0.686679	+	0.686679i
$874$	−0.591623	−	2.16194i	−0.0200120	−	0.0731287i
$875$	7.61737	+	8.18386i	0.257514	+	0.276665i
$876$	−9.41344	+	5.56910i	−0.318051	+	0.188163i
$877$	8.78708	−	8.78708i	0.296719	−	0.296719i	−0.543008	−	0.839727i	$-0.682715\pi$
$877$	8.78708	−	8.78708i	0.296719	−	0.296719i	0.839727	+	0.543008i	$0.182715\pi$
$878$	−7.44367	+	13.0525i	−0.251212	+	0.440502i
$879$	−3.26796			−0.110225
$880$	−40.5754	+	23.9329i	−1.36780	+	0.806779i
$881$	−52.6965			−1.77539			−0.887695	−	0.460431i	$-0.847695\pi$
$881$	−52.6965			−1.77539			−0.887695	+	0.460431i	$0.847695\pi$
$882$	−1.96611	+	3.44759i	−0.0662023	+	0.116086i
$883$	30.4285	−	30.4285i	1.02400	−	1.02400i	0.0242968	−	0.999705i	$-0.492265\pi$
$883$	30.4285	−	30.4285i	1.02400	−	1.02400i	0.999705	−	0.0242968i	$-0.00773466\pi$
$884$	42.9914	−	25.4342i	1.44596	−	0.855445i
$885$	−0.467608	−	1.83242i	−0.0157185	−	0.0615961i
$886$	−2.23909	−	8.18218i	−0.0752236	−	0.274886i
$887$	−0.235867	+	0.235867i	−0.00791962	+	0.00791962i	−0.711056	−	0.703136i	$-0.751783\pi$
$887$	−0.235867	+	0.235867i	−0.00791962	+	0.00791962i	0.703136	+	0.711056i	$0.251783\pi$
$888$	−0.129308	−	8.10881i	−0.00433929	−	0.272114i
$889$		−	4.32759i		−	0.145143i
$890$	−11.5387	−	20.2952i	−0.386779	−	0.680297i
$891$	38.4205			1.28714
$892$	−11.8237	+	46.0806i	−0.395888	+	1.54289i
$893$	1.30966	+	1.30966i	0.0438260	+	0.0438260i
$894$	−2.14012	−	7.82054i	−0.0715764	−	0.261558i
$895$	14.1594	−	23.8619i	0.473297	−	0.797617i
$896$	−3.33267	−	10.8117i	−0.111337	−	0.361194i
$897$	1.97136	+	1.97136i	0.0658218	+	0.0658218i
$898$	−18.3851	−	10.4847i	−0.613518	−	0.349880i
$899$			7.18836i			0.239745i
$900$	24.1157	+	14.3529i	0.803856	+	0.478429i
$901$			73.0576i			2.43390i
$902$	4.78142	−	8.38426i	0.159204	−	0.279165i
$903$	−2.63287	−	2.63287i	−0.0876165	−	0.0876165i
$904$	−13.4965	+	13.9339i	−0.448888	+	0.463436i
$905$	18.0504	−	30.4193i	0.600017	−	1.01117i
$906$	−1.90890	+	0.522379i	−0.0634191	+	0.0173549i
$907$	−22.5493	−	22.5493i	−0.748736	−	0.748736i	0.225506	−	0.974242i	$-0.427597\pi$
$907$	−22.5493	−	22.5493i	−0.748736	−	0.748736i	−0.974242	+	0.225506i	$0.927597\pi$
$908$	13.5723	−	52.8955i	0.450414	−	1.75540i
$909$	−36.2253			−1.20152
$910$	9.75876	−	5.54828i	0.323500	−	0.183924i
$911$		−	4.39495i		−	0.145611i	−0.997346	−	0.0728056i	$-0.976805\pi$
$911$		−	4.39495i		−	0.145611i	0.997346	−	0.0728056i	$-0.0231953\pi$
$912$	1.50086	−	0.436556i	0.0496986	−	0.0144558i
$913$	−2.00315	+	2.00315i	−0.0662946	+	0.0662946i
$914$	−33.4092	+	9.14256i	−1.10508	+	0.302409i
$915$	1.57485	+	6.17138i	0.0520630	+	0.204019i
$916$	2.45841	+	4.15544i	0.0812280	+	0.137300i
$917$	0.174731	−	0.174731i	0.00577014	−	0.00577014i
$918$	22.0834	+	12.5938i	0.728862	+	0.415659i
$919$	−40.0522			−1.32120			−0.660599	−	0.750739i	$-0.729698\pi$
$919$	−40.0522			−1.32120			−0.660599	+	0.750739i	$0.729698\pi$
$920$	2.96509	+	10.8914i	0.0977560	+	0.359079i
$921$	5.06266			0.166820
$922$	20.5213	+	11.7030i	0.675833	+	0.385418i
$923$	38.0171	−	38.0171i	1.25135	−	1.25135i
$924$	−3.98931	+	2.36012i	−0.131239	+	0.0776423i
$925$	31.2594	+	9.18167i	1.02780	+	0.301891i
$926$	−9.10159	+	2.49069i	−0.299097	+	0.0818490i
$927$	29.0306	−	29.0306i	0.953489	−	0.953489i
$928$	−4.05702	−	6.61459i	−0.133178	−	0.217135i
$929$			4.17294i			0.136910i	0.997654	+	0.0684549i	$0.0218069\pi$
$929$			4.17294i			0.136910i	−0.997654	+	0.0684549i	$0.978193\pi$
$930$	7.03091	+	1.93398i	0.230553	+	0.0634177i
$931$	−0.888035			−0.0291042
$932$	−21.7973	−	5.59293i	−0.713996	−	0.183203i
$933$	−6.78874	−	6.78874i	−0.222253	−	0.222253i
$934$	−9.69245	+	2.65238i	−0.317147	+	0.0867885i
$935$	−20.4879	−	80.2858i	−0.670025	−	2.62563i
$936$	19.6044	−	20.2397i	0.640789	−	0.661556i
$937$	−15.6577	−	15.6577i	−0.511513	−	0.511513i	0.403477	−	0.914990i	$-0.367802\pi$
$937$	−15.6577	−	15.6577i	−0.511513	−	0.511513i	−0.914990	+	0.403477i	$0.867802\pi$
$938$	4.71823	−	8.27346i	0.154056	−	0.270138i
$939$			1.40964i			0.0460020i
$940$	−6.58674	−	6.60409i	−0.214836	−	0.215402i
$941$			33.5040i			1.09220i	0.837721	+	0.546099i	$0.183888\pi$
$941$			33.5040i			1.09220i	−0.837721	+	0.546099i	$0.816112\pi$
$942$	−3.87183	−	2.20805i	−0.126151	−	0.0719420i
$943$	−1.63535	−	1.63535i	−0.0532543	−	0.0532543i
$944$	−6.73819	−	3.70158i	−0.219310	−	0.120476i
$945$	4.91327	+	2.91548i	0.159829	+	0.0948405i
$946$	16.6357	+	60.7911i	0.540875	+	1.97649i
$947$	−24.2390	−	24.2390i	−0.787661	−	0.787661i	0.193449	−	0.981110i	$-0.438033\pi$
$947$	−24.2390	−	24.2390i	−0.787661	−	0.787661i	−0.981110	+	0.193449i	$0.938033\pi$
$948$	−1.58983	−	0.407930i	−0.0516352	−	0.0132490i
$949$	−44.1178			−1.43212
$950$	−0.116635	+	6.27827i	−0.00378414	+	0.203694i
$951$			9.48268i			0.307497i
$952$	19.8973	−	0.317294i	0.644876	−	0.0102836i
$953$	−8.47392	+	8.47392i	−0.274497	+	0.274497i	−0.830908	−	0.556410i	$-0.812178\pi$
$953$	−8.47392	+	8.47392i	−0.274497	+	0.274497i	0.556410	+	0.830908i	$0.312178\pi$
$954$	10.8778	+	39.7502i	0.352182	+	1.28696i
$955$	−20.6608	+	34.8184i	−0.668569	+	1.12670i
$956$	−21.5887	−	36.4914i	−0.698230	−	1.18022i
$957$	−2.24796	+	2.24796i	−0.0726661	+	0.0726661i
$958$	9.36542	−	16.4223i	0.302583	−	0.530582i
$959$	19.1366			0.617952
$960$	−7.56122	+	2.18855i	−0.244037	+	0.0706352i
$961$	3.53846			0.114144
$962$	16.2053	−	28.4161i	0.522480	−	0.916173i
$963$	21.1929	−	21.1929i	0.682931	−	0.682931i
$964$	21.4225	+	36.2104i	0.689972	+	1.16626i
$965$	4.01360	−	1.02422i	0.129202	−	0.0329707i
$966$	0.293158	+	1.07127i	0.00943221	+	0.0344676i
$967$	6.14086	−	6.14086i	0.197477	−	0.197477i	−0.601441	−	0.798917i	$-0.705406\pi$
$967$	6.14086	−	6.14086i	0.197477	−	0.197477i	0.798917	+	0.601441i	$0.205406\pi$
$968$	47.3401	−	0.754914i	1.52157	−	0.0242638i
$969$			2.74930i			0.0883202i
$970$	31.1740	+	8.57499i	1.00094	+	0.275326i
$971$	−41.6381			−1.33623			−0.668115	−	0.744058i	$-0.732899\pi$
$971$	−41.6381			−1.33623			−0.668115	+	0.744058i	$0.732899\pi$
$972$	21.0675	+	5.40566i	0.675741	+	0.173387i
$973$	15.4095	+	15.4095i	0.494007	+	0.494007i
$974$	−5.92084	−	21.6362i	−0.189716	−	0.693269i
$975$	−3.74249	−	6.85533i	−0.119856	−	0.219546i
$976$	22.6935	+	12.4665i	0.726400	+	0.399043i
$977$	30.3403	+	30.3403i	0.970674	+	0.970674i	0.999582	−	0.0289083i	$-0.00920307\pi$
$977$	30.3403	+	30.3403i	0.970674	+	0.970674i	−0.0289083	+	0.999582i	$0.509203\pi$
$978$	1.63107	+	0.930172i	0.0521557	+	0.0297436i
$979$			38.8832i			1.24271i
$980$	4.47213	+	0.00588124i	0.142857	+	0.000187869i
$981$		−	7.17766i		−	0.229165i
$982$	−13.5135	+	23.6961i	−0.431234	+	0.756173i
$983$	26.9803	+	26.9803i	0.860538	+	0.860538i	0.991400	−	0.130863i	$-0.0417748\pi$
$983$	26.9803	+	26.9803i	0.860538	+	0.860538i	−0.130863	+	0.991400i	$0.541775\pi$
$984$	1.12209	−	1.15845i	0.0357708	−	0.0369301i
$985$	24.0995	−	6.14986i	0.767873	−	0.195951i
$986$	13.1645	−	3.60253i	0.419244	−	0.114728i
$987$	−0.648955	−	0.648955i	−0.0206565	−	0.0206565i
$988$	6.10702	+	1.56699i	0.194290	+	0.0498525i
$989$	15.1021			0.480219
$990$	−23.1014	−	40.6325i	−0.734209	−	1.29139i
$991$			26.2476i			0.833782i	0.908956	+	0.416891i	$0.136880\pi$
$991$			26.2476i			0.833782i	−0.908956	+	0.416891i	$0.863120\pi$
$992$	25.2696	−	15.4990i	0.802310	−	0.492093i
$993$	−2.91321	+	2.91321i	−0.0924478	+	0.0924478i
$994$	20.6592	−	5.65347i	0.655270	−	0.179317i
$995$	48.4765	+	28.7654i	1.53681	+	0.911924i
$996$	−0.407408	+	0.241027i	−0.0129092	+	0.00763724i
$997$	−2.54974	+	2.54974i	−0.0807511	+	0.0807511i	−0.746329	−	0.665578i	$-0.768185\pi$
$997$	−2.54974	+	2.54974i	−0.0807511	+	0.0807511i	0.665578	+	0.746329i	$0.268185\pi$
$998$	16.8827	+	9.62795i	0.534413	+	0.304768i
$999$	16.6484			0.526732

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.w.a.267.12	yes	72
4.3	odd	2		1120.2.bi.a.687.17		72
5.3	odd	4	inner	280.2.w.a.43.31	yes	72
8.3	odd	2	inner	280.2.w.a.267.31	yes	72
8.5	even	2		1120.2.bi.a.687.18		72
20.3	even	4		1120.2.bi.a.463.18		72
40.3	even	4	inner	280.2.w.a.43.12	✓	72
40.13	odd	4		1120.2.bi.a.463.17		72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.w.a.43.12	✓	72	40.3	even	4	inner
280.2.w.a.43.31	yes	72	5.3	odd	4	inner
280.2.w.a.267.12	yes	72	1.1	even	1	trivial
280.2.w.a.267.31	yes	72	8.3	odd	2	inner
1120.2.bi.a.463.17		72	40.13	odd	4
1120.2.bi.a.463.18		72	20.3	even	4
1120.2.bi.a.687.17		72	4.3	odd	2
1120.2.bi.a.687.18		72	8.5	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.w (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.700587 + 1.22849i) q^{2} +(0.311152 - 0.311152i) q^{3} +(-1.01836 - 1.72132i) q^{4} +(-1.92300 - 1.14109i) q^{5} +(0.164256 + 0.600234i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(2.82807 - 0.0450980i) q^{8} +2.80637i q^{9} +O(q^{10})\)	\(q+(-0.700587 + 1.22849i) q^{2} +(0.311152 - 0.311152i) q^{3} +(-1.01836 - 1.72132i) q^{4} +(-1.92300 - 1.14109i) q^{5} +(0.164256 + 0.600234i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(2.82807 - 0.0450980i) q^{8} +2.80637i q^{9} +(2.74904 - 1.56295i) q^{10} -5.26682 q^{11} +(-0.852455 - 0.218730i) q^{12} +(-2.51015 - 2.51015i) q^{13} +(-0.373281 - 1.36406i) q^{14} +(-0.953394 + 0.243293i) q^{15} +(-1.92591 + 3.50584i) q^{16} +(-4.97496 - 4.97496i) q^{17} +(-3.44759 - 1.96611i) q^{18} -0.888035i q^{19} +(-0.00588124 + 4.47213i) q^{20} +0.440035i q^{21} +(3.68987 - 6.47021i) q^{22} +(-1.26201 - 1.26201i) q^{23} +(0.865925 - 0.893990i) q^{24} +(2.39585 + 4.38861i) q^{25} +(4.84226 - 1.32510i) q^{26} +(1.80666 + 1.80666i) q^{27} +(1.93724 + 0.497073i) q^{28} +1.37173 q^{29} +(0.369053 - 1.34168i) q^{30} +5.24038i q^{31} +(-2.95761 - 4.82209i) q^{32} +(-1.63878 + 1.63878i) q^{33} +(9.59706 - 2.62628i) q^{34} +(2.16663 - 0.552896i) q^{35} +(4.83067 - 2.85788i) q^{36} +(4.60750 - 4.60750i) q^{37} +(1.09094 + 0.622146i) q^{38} -1.56207 q^{39} +(-5.48983 - 3.14034i) q^{40} +1.29582 q^{41} +(-0.540576 - 0.308283i) q^{42} +(-5.98333 + 5.98333i) q^{43} +(5.36349 + 9.06590i) q^{44} +(3.20231 - 5.39664i) q^{45} +(2.43452 - 0.666216i) q^{46} +(-1.47478 + 1.47478i) q^{47} +(0.491598 + 1.69009i) q^{48} -1.00000i q^{49} +(-7.06985 - 0.131340i) q^{50} -3.09593 q^{51} +(-1.76455 + 6.87700i) q^{52} +(-7.34254 - 7.34254i) q^{53} +(-3.48518 + 0.953734i) q^{54} +(10.1281 + 6.00989i) q^{55} +(-1.96786 + 2.03163i) q^{56} +(-0.276313 - 0.276313i) q^{57} +(-0.961014 + 1.68515i) q^{58} +1.92199i q^{59} +(1.38968 + 1.39334i) q^{60} -6.47306i q^{61} +(-6.43773 - 3.67134i) q^{62} +(-1.98440 - 1.98440i) q^{63} +(7.99593 - 0.255081i) q^{64} +(1.96272 + 7.69131i) q^{65} +(-0.865109 - 3.16132i) q^{66} +(4.76214 + 4.76214i) q^{67} +(-3.49724 + 13.6298i) q^{68} -0.785356 q^{69} +(-0.838692 + 3.04903i) q^{70} +15.1454i q^{71} +(0.126562 + 7.93660i) q^{72} +(8.78788 - 8.78788i) q^{73} +(2.43229 + 8.88821i) q^{74} +(2.11099 + 0.620052i) q^{75} +(-1.52860 + 0.904335i) q^{76} +(3.72420 - 3.72420i) q^{77} +(1.09437 - 1.91898i) q^{78} +1.86500 q^{79} +(7.70397 - 4.54410i) q^{80} -7.29482 q^{81} +(-0.907837 + 1.59190i) q^{82} +(0.380334 - 0.380334i) q^{83} +(0.757442 - 0.448112i) q^{84} +(3.88999 + 15.2437i) q^{85} +(-3.15859 - 11.5423i) q^{86} +(0.426815 - 0.426815i) q^{87} +(-14.8949 + 0.237523i) q^{88} -7.38267i q^{89} +(4.38621 + 7.71481i) q^{90} +3.54989 q^{91} +(-0.887156 + 3.45751i) q^{92} +(1.63055 + 1.63055i) q^{93} +(-0.778535 - 2.84496i) q^{94} +(-1.01332 + 1.70769i) q^{95} +(-2.42066 - 0.580138i) q^{96} +(7.22963 + 7.22963i) q^{97} +(1.22849 + 0.700587i) q^{98} -14.7806i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q + 8 q^{6}+O(q^{10}) \) 72 * q + 8 * q^6	\( 72 q + 8 q^{6} + 16 q^{10} - 16 q^{12} - 8 q^{16} + 8 q^{17} - 28 q^{18} - 20 q^{20} - 36 q^{22} - 8 q^{25} - 32 q^{26} - 4 q^{30} + 40 q^{32} + 64 q^{36} - 4 q^{40} + 20 q^{42} - 64 q^{43} + 48 q^{46} - 80 q^{48} - 32 q^{51} + 16 q^{52} - 24 q^{56} + 4 q^{58} - 80 q^{60} - 40 q^{62} - 8 q^{65} + 32 q^{66} - 24 q^{68} + 40 q^{72} - 40 q^{73} + 112 q^{75} - 8 q^{76} + 28 q^{78} - 20 q^{80} - 72 q^{81} + 24 q^{82} + 80 q^{83} + 8 q^{86} - 88 q^{88} + 136 q^{90} - 96 q^{92} - 56 q^{96} - 8 q^{97}+O(q^{100}) \) 72 * q + 8 * q^6 + 16 * q^10 - 16 * q^12 - 8 * q^16 + 8 * q^17 - 28 * q^18 - 20 * q^20 - 36 * q^22 - 8 * q^25 - 32 * q^26 - 4 * q^30 + 40 * q^32 + 64 * q^36 - 4 * q^40 + 20 * q^42 - 64 * q^43 + 48 * q^46 - 80 * q^48 - 32 * q^51 + 16 * q^52 - 24 * q^56 + 4 * q^58 - 80 * q^60 - 40 * q^62 - 8 * q^65 + 32 * q^66 - 24 * q^68 + 40 * q^72 - 40 * q^73 + 112 * q^75 - 8 * q^76 + 28 * q^78 - 20 * q^80 - 72 * q^81 + 24 * q^82 + 80 * q^83 + 8 * q^86 - 88 * q^88 + 136 * q^90 - 96 * q^92 - 56 * q^96 - 8 * q^97

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