LMFDB - Embedded newform 560.2.bc.a.251.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [560,2,Mod(251,560)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(560, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 1, 0, 2]))

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

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

chi := DirichletCharacter("560.251");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 560 = 2^{4} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	560.bc (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:	$4.47162251319$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$64$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			251.17
Character	$\chi$	$=$	560.251
Dual form			560.2.bc.a.531.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.02851 - 0.970651i) q^{2} +(-2.22970 + 2.22970i) q^{3} +(0.115673 + 1.99665i) q^{4} +(0.707107 - 0.707107i) q^{5} +(4.45753 - 0.129012i) q^{6} +(2.24619 + 1.39808i) q^{7} +(1.81908 - 2.16586i) q^{8} -6.94309i q^{9} +O(q^{10})$	\(q+(-1.02851 - 0.970651i) q^{2} +(-2.22970 + 2.22970i) q^{3} +(0.115673 + 1.99665i) q^{4} +(0.707107 - 0.707107i) q^{5} +(4.45753 - 0.129012i) q^{6} +(2.24619 + 1.39808i) q^{7} +(1.81908 - 2.16586i) q^{8} -6.94309i q^{9} +(-1.41362 + 0.0409138i) q^{10} +(0.955830 - 0.955830i) q^{11} +(-4.70984 - 4.19401i) q^{12} +(-3.30530 - 3.30530i) q^{13} +(-0.953192 - 3.61821i) q^{14} +3.15327i q^{15} +(-3.97324 + 0.461918i) q^{16} +3.14300i q^{17} +(-6.73932 + 7.14105i) q^{18} +(4.65017 - 4.65017i) q^{19} +(1.49364 + 1.33005i) q^{20} +(-8.12561 + 1.89104i) q^{21} +(-1.91086 + 0.0553051i) q^{22} +3.43601 q^{23} +(0.773208 + 8.88520i) q^{24} -1.00000i q^{25} +(0.191247 + 6.60783i) q^{26} +(8.79189 + 8.79189i) q^{27} +(-2.53165 + 4.64659i) q^{28} +(4.40599 - 4.40599i) q^{29} +(3.06072 - 3.24317i) q^{30} -0.0663912 q^{31} +(4.53489 + 3.38154i) q^{32} +4.26242i q^{33} +(3.05076 - 3.23261i) q^{34} +(2.57689 - 0.599709i) q^{35} +(13.8629 - 0.803129i) q^{36} +(-4.55878 - 4.55878i) q^{37} +(-9.29644 + 0.269062i) q^{38} +14.7396 q^{39} +(-0.245209 - 2.81778i) q^{40} +6.75322 q^{41} +(10.1928 + 5.94217i) q^{42} +(-6.16193 + 6.16193i) q^{43} +(2.01902 + 1.79790i) q^{44} +(-4.90950 - 4.90950i) q^{45} +(-3.53397 - 3.33516i) q^{46} +11.6231 q^{47} +(7.82918 - 9.88905i) q^{48} +(3.09077 + 6.28070i) q^{49} +(-0.970651 + 1.02851i) q^{50} +(-7.00793 - 7.00793i) q^{51} +(6.21719 - 6.98186i) q^{52} +(7.99268 + 7.99268i) q^{53} +(-0.508706 - 17.5764i) q^{54} -1.35175i q^{55} +(7.11404 - 2.32172i) q^{56} +20.7369i q^{57} +(-8.80828 + 0.254934i) q^{58} +(-1.31262 - 1.31262i) q^{59} +(-6.29598 + 0.364748i) q^{60} +(-3.07852 - 3.07852i) q^{61} +(0.0682841 + 0.0644427i) q^{62} +(9.70696 - 15.5955i) q^{63} +(-1.38189 - 7.87975i) q^{64} -4.67440 q^{65} +(4.13732 - 4.38395i) q^{66} +(2.44838 + 2.44838i) q^{67} +(-6.27548 + 0.363561i) q^{68} +(-7.66125 + 7.66125i) q^{69} +(-3.23247 - 1.88445i) q^{70} -0.960939 q^{71} +(-15.0377 - 12.6300i) q^{72} -0.243837 q^{73} +(0.263775 + 9.11374i) q^{74} +(2.22970 + 2.22970i) q^{75} +(9.82266 + 8.74687i) q^{76} +(3.48330 - 0.810656i) q^{77} +(-15.1599 - 14.3070i) q^{78} +15.9599i q^{79} +(-2.48288 + 3.13613i) q^{80} -18.3772 q^{81} +(-6.94576 - 6.55502i) q^{82} +(-7.39105 + 7.39105i) q^{83} +(-4.71567 - 16.0053i) q^{84} +(2.22244 + 2.22244i) q^{85} +(12.3187 - 0.356534i) q^{86} +19.6480i q^{87} +(-0.331460 - 3.80892i) q^{88} +3.05131 q^{89} +(0.284068 + 9.81490i) q^{90} +(-2.80328 - 12.0454i) q^{91} +(0.397454 + 6.86051i) q^{92} +(0.148032 - 0.148032i) q^{93} +(-11.9545 - 11.2820i) q^{94} -6.57633i q^{95} +(-17.6512 + 2.57161i) q^{96} -13.9671i q^{97} +(2.91747 - 9.45983i) q^{98} +(-6.63641 - 6.63641i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 4 q^{4}+O(q^{10}) $ 128 * q - 4 * q^4	$ 128 q - 4 q^{4} + 8 q^{11} - 8 q^{14} + 20 q^{16} + 20 q^{18} - 52 q^{22} - 16 q^{23} + 44 q^{28} + 16 q^{29} + 40 q^{32} + 16 q^{37} + 60 q^{42} - 8 q^{43} - 108 q^{44} - 40 q^{46} - 4 q^{50} + 80 q^{51} + 16 q^{53} + 12 q^{56} - 76 q^{58} - 56 q^{60} - 52 q^{64} + 40 q^{67} - 8 q^{70} - 64 q^{71} - 36 q^{72} + 60 q^{74} - 48 q^{78} - 128 q^{81} - 32 q^{84} + 76 q^{86} + 20 q^{88} - 32 q^{91} + 64 q^{92} - 76 q^{98} - 40 q^{99}+O(q^{100}) $ 128 * q - 4 * q^4 + 8 * q^11 - 8 * q^14 + 20 * q^16 + 20 * q^18 - 52 * q^22 - 16 * q^23 + 44 * q^28 + 16 * q^29 + 40 * q^32 + 16 * q^37 + 60 * q^42 - 8 * q^43 - 108 * q^44 - 40 * q^46 - 4 * q^50 + 80 * q^51 + 16 * q^53 + 12 * q^56 - 76 * q^58 - 56 * q^60 - 52 * q^64 + 40 * q^67 - 8 * q^70 - 64 * q^71 - 36 * q^72 + 60 * q^74 - 48 * q^78 - 128 * q^81 - 32 * q^84 + 76 * q^86 + 20 * q^88 - 32 * q^91 + 64 * q^92 - 76 * q^98 - 40 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/560\mathbb{Z}\right)^\times$.

$n$	$241$	$337$	$351$	$421$
$\chi(n)$	$-1$	$1$	$-1$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−1.02851	−	0.970651i	−0.727268	−	0.686354i
$2$	−1.02851	−	0.970651i	−0.727268	−	0.686354i
$3$	−2.22970	+	2.22970i	−1.28732	+	1.28732i	−0.350904	+	0.936411i	$0.614126\pi$
$3$	−2.22970	+	2.22970i	−1.28732	+	1.28732i	−0.936411	+	0.350904i	$0.885874\pi$
$4$	0.115673	+	1.99665i	0.0578366	+	0.998326i
$5$	0.707107	−	0.707107i	0.316228	−	0.316228i
$5$	0.707107	−	0.707107i	0.316228	−	0.316228i
$6$	4.45753	−	0.129012i	1.81978	−	0.0526689i
$7$	2.24619	+	1.39808i	0.848981	+	0.528423i
$7$	2.24619	+	1.39808i	0.848981	+	0.528423i
$8$	1.81908	−	2.16586i	0.643142	−	0.765747i
$9$		−	6.94309i		−	2.31436i
$10$	−1.41362	+	0.0409138i	−0.447026	+	0.0129381i
$11$	0.955830	−	0.955830i	0.288194	−	0.288194i	−0.548172	−	0.836366i	$-0.684676\pi$
$11$	0.955830	−	0.955830i	0.288194	−	0.288194i	0.836366	+	0.548172i	$0.184676\pi$
$12$	−4.70984	−	4.19401i	−1.35961	−	1.21071i
$13$	−3.30530	−	3.30530i	−0.916724	−	0.916724i	0.0800652	−	0.996790i	$-0.474487\pi$
$13$	−3.30530	−	3.30530i	−0.916724	−	0.916724i	−0.996790	+	0.0800652i	$0.974487\pi$
$14$	−0.953192	−	3.61821i	−0.254751	−	0.967007i
$15$			3.15327i			0.814170i
$16$	−3.97324	+	0.461918i	−0.993310	+	0.115480i
$17$			3.14300i			0.762289i	0.924515	+	0.381145i	$0.124470\pi$
$17$			3.14300i			0.762289i	−0.924515	+	0.381145i	$0.875530\pi$
$18$	−6.73932	+	7.14105i	−1.58847	+	1.68316i
$19$	4.65017	−	4.65017i	1.06682	−	1.06682i	0.0692200	−	0.997601i	$-0.477949\pi$
$19$	4.65017	−	4.65017i	1.06682	−	1.06682i	0.997601	−	0.0692200i	$-0.0220510\pi$
$20$	1.49364	+	1.33005i	0.333988	+	0.297409i
$21$	−8.12561	+	1.89104i	−1.77315	+	0.412660i
$22$	−1.91086	+	0.0553051i	−0.407397	+	0.0117911i
$23$	3.43601			0.716457			0.358228	−	0.933634i	$-0.383381\pi$
$23$	3.43601			0.716457			0.358228	+	0.933634i	$0.383381\pi$
$24$	0.773208	+	8.88520i	0.157830	+	1.81368i
$25$		−	1.00000i		−	0.200000i
$26$	0.191247	+	6.60783i	0.0375066	+	1.29590i
$27$	8.79189	+	8.79189i	1.69200	+	1.69200i
$28$	−2.53165	+	4.64659i	−0.478436	+	0.878122i
$29$	4.40599	−	4.40599i	0.818171	−	0.818171i	−0.167672	−	0.985843i	$-0.553625\pi$
$29$	4.40599	−	4.40599i	0.818171	−	0.818171i	0.985843	+	0.167672i	$0.0536249\pi$
$30$	3.06072	−	3.24317i	0.558809	−	0.592119i
$31$	−0.0663912			−0.0119242			−0.00596210	−	0.999982i	$-0.501898\pi$
$31$	−0.0663912			−0.0119242			−0.00596210	+	0.999982i	$0.501898\pi$
$32$	4.53489	+	3.38154i	0.801662	+	0.597778i
$33$			4.26242i			0.741992i
$34$	3.05076	−	3.23261i	0.523200	−	0.554388i
$35$	2.57689	−	0.599709i	0.435573	−	0.101369i
$36$	13.8629	−	0.803129i	2.31049	−	0.133855i
$37$	−4.55878	−	4.55878i	−0.749459	−	0.749459i	0.224919	−	0.974378i	$-0.427788\pi$
$37$	−4.55878	−	4.55878i	−0.749459	−	0.749459i	−0.974378	+	0.224919i	$0.927788\pi$
$38$	−9.29644	+	0.269062i	−1.50808	+	0.0436477i
$39$	14.7396			2.36023
$40$	−0.245209	−	2.81778i	−0.0387709	−	0.445530i
$41$	6.75322			1.05468			0.527338	−	0.849656i	$-0.323190\pi$
$41$	6.75322			1.05468			0.527338	+	0.849656i	$0.323190\pi$
$42$	10.1928	+	5.94217i	1.57279	+	0.916897i
$43$	−6.16193	+	6.16193i	−0.939686	+	0.939686i	−0.998282	−	0.0585960i	$-0.981338\pi$
$43$	−6.16193	+	6.16193i	−0.939686	+	0.939686i	0.0585960	+	0.998282i	$0.481338\pi$
$44$	2.01902	+	1.79790i	0.304379	+	0.271043i
$45$	−4.90950	−	4.90950i	−0.731866	−	0.731866i
$46$	−3.53397	−	3.33516i	−0.521056	−	0.491743i
$47$	11.6231			1.69540			0.847701	−	0.530474i	$-0.177986\pi$
$47$	11.6231			1.69540			0.847701	+	0.530474i	$0.177986\pi$
$48$	7.82918	−	9.88905i	1.13004	−	1.42736i
$49$	3.09077	+	6.28070i	0.441538	+	0.897242i
$50$	−0.970651	+	1.02851i	−0.137271	+	0.145454i
$51$	−7.00793	−	7.00793i	−0.981307	−	0.981307i
$52$	6.21719	−	6.98186i	0.862170	−	0.968210i
$53$	7.99268	+	7.99268i	1.09788	+	1.09788i	0.994659	+	0.103220i	$0.0329146\pi$
$53$	7.99268	+	7.99268i	1.09788	+	1.09788i	0.103220	+	0.994659i	$0.467085\pi$
$54$	−0.508706	−	17.5764i	−0.0692261	−	2.39185i
$55$		−	1.35175i		−	0.182270i
$56$	7.11404	−	2.32172i	0.950654	−	0.310253i
$57$			20.7369i			2.74667i
$58$	−8.80828	+	0.254934i	−1.15658	+	0.0334745i
$59$	−1.31262	−	1.31262i	−0.170889	−	0.170889i	0.616481	−	0.787370i	$-0.288558\pi$
$59$	−1.31262	−	1.31262i	−0.170889	−	0.170889i	−0.787370	+	0.616481i	$0.788558\pi$
$60$	−6.29598	+	0.364748i	−0.812807	+	0.0470888i
$61$	−3.07852	−	3.07852i	−0.394164	−	0.394164i	0.482005	−	0.876169i	$-0.339909\pi$
$61$	−3.07852	−	3.07852i	−0.394164	−	0.394164i	−0.876169	+	0.482005i	$0.839909\pi$
$62$	0.0682841	+	0.0644427i	0.00867209	+	0.00818423i
$63$	9.70696	−	15.5955i	1.22296	−	1.96485i
$64$	−1.38189	−	7.87975i	−0.172736	−	0.984968i
$65$	−4.67440			−0.579787
$66$	4.13732	−	4.38395i	0.509269	−	0.539627i
$67$	2.44838	+	2.44838i	0.299117	+	0.299117i	0.840668	−	0.541551i	$-0.182163\pi$
$67$	2.44838	+	2.44838i	0.299117	+	0.299117i	−0.541551	+	0.840668i	$0.682163\pi$
$68$	−6.27548	+	0.363561i	−0.761013	+	0.0440882i
$69$	−7.66125	+	7.66125i	−0.922306	+	0.922306i
$70$	−3.23247	−	1.88445i	−0.386354	−	0.225235i
$71$	−0.960939			−0.114042			−0.0570212	−	0.998373i	$-0.518160\pi$
$71$	−0.960939			−0.114042			−0.0570212	+	0.998373i	$0.518160\pi$
$72$	−15.0377	−	12.6300i	−1.77222	−	1.48846i
$73$	−0.243837			−0.0285389			−0.0142695	−	0.999898i	$-0.504542\pi$
$73$	−0.243837			−0.0285389			−0.0142695	+	0.999898i	$0.504542\pi$
$74$	0.263775	+	9.11374i	0.0306632	+	1.05945i
$75$	2.22970	+	2.22970i	0.257463	+	0.257463i
$76$	9.82266	+	8.74687i	1.12674	+	1.00333i
$77$	3.48330	−	0.810656i	0.396959	−	0.0923828i
$78$	−15.1599	−	14.3070i	−1.71652	−	1.61995i
$79$			15.9599i			1.79563i	0.440371	+	0.897816i	$0.354847\pi$
$79$			15.9599i			1.79563i	−0.440371	+	0.897816i	$0.645153\pi$
$80$	−2.48288	+	3.13613i	−0.277594	+	0.350630i
$81$	−18.3772			−2.04191
$82$	−6.94576	−	6.55502i	−0.767031	−	0.723881i
$83$	−7.39105	+	7.39105i	−0.811274	+	0.811274i	−0.984825	−	0.173551i	$-0.944476\pi$
$83$	−7.39105	+	7.39105i	−0.811274	+	0.811274i	0.173551	+	0.984825i	$0.444476\pi$
$84$	−4.71567	−	16.0053i	−0.514522	−	1.74632i
$85$	2.22244	+	2.22244i	0.241057	+	0.241057i
$86$	12.3187	−	0.356534i	1.32836	−	0.0384461i
$87$			19.6480i			2.10649i
$88$	−0.331460	−	3.80892i	−0.0353338	−	0.406033i
$89$	3.05131			0.323438			0.161719	−	0.986837i	$-0.448296\pi$
$89$	3.05131			0.323438			0.161719	+	0.986837i	$0.448296\pi$
$90$	0.284068	+	9.81490i	0.0299434	+	1.03458i
$91$	−2.80328	−	12.0454i	−0.293863	−	1.26270i
$92$	0.397454	+	6.86051i	0.0414374	+	0.715258i
$93$	0.148032	−	0.148032i	0.0153502	−	0.0153502i
$94$	−11.9545	−	11.2820i	−1.23301	−	1.16365i
$95$		−	6.57633i		−	0.674717i
$96$	−17.6512	+	2.57161i	−1.80152	+	0.262464i
$97$		−	13.9671i		−	1.41815i	−0.705135	−	0.709073i	$-0.749114\pi$
$97$		−	13.9671i		−	1.41815i	0.705135	−	0.709073i	$-0.250886\pi$
$98$	2.91747	−	9.45983i	0.294709	−	0.955587i
$99$	−6.63641	−	6.63641i	−0.666984	−	0.666984i
$100$	1.99665	−	0.115673i	0.199665	−	0.0115673i
$101$	5.80933	−	5.80933i	0.578050	−	0.578050i	−0.356316	−	0.934366i	$-0.615967\pi$
$101$	5.80933	−	5.80933i	0.578050	−	0.578050i	0.934366	+	0.356316i	$0.115967\pi$
$102$	0.405485	+	14.0100i	0.0401490	+	1.38720i
$103$		−	4.15097i		−	0.409007i	−0.978866	−	0.204504i	$-0.934442\pi$
$103$		−	4.15097i		−	0.409007i	0.978866	−	0.204504i	$-0.0655580\pi$
$104$	−13.1714	+	1.14620i	−1.29156	+	0.112394i
$105$	−4.40851	+	7.08284i	−0.430226	+	0.691215i
$106$	−0.462463	−	15.9787i	−0.0449184	−	1.55199i
$107$	5.69842	−	5.69842i	0.550887	−	0.550887i	−0.375809	−	0.926697i	$-0.622635\pi$
$107$	5.69842	−	5.69842i	0.550887	−	0.550887i	0.926697	+	0.375809i	$0.122635\pi$
$108$	−16.5374	+	18.5713i	−1.59131	+	1.78703i
$109$	10.9263	−	10.9263i	1.04655	−	1.04655i	0.0476835	−	0.998862i	$-0.484816\pi$
$109$	10.9263	−	10.9263i	1.04655	−	1.04655i	0.998862	−	0.0476835i	$-0.0151839\pi$
$110$	−1.31208	+	1.39029i	−0.125101	+	0.132559i
$111$	20.3294			1.92958
$112$	−9.57046	−	4.51733i	−0.904323	−	0.426848i
$113$	−3.99946			−0.376237			−0.188119	−	0.982146i	$-0.560239\pi$
$113$	−3.99946			−0.376237			−0.188119	+	0.982146i	$0.560239\pi$
$114$	20.1283	−	21.3282i	1.88519	−	1.99757i
$115$	2.42962	−	2.42962i	0.226564	−	0.226564i
$116$	9.30687	+	8.28757i	0.864122	+	0.769481i
$117$	−22.9490	+	22.9490i	−2.12163	+	2.12163i
$118$	0.0759493	+	2.62414i	0.00699170	+	0.241572i
$119$	−4.39415	+	7.05978i	−0.402811	+	0.647169i
$120$	6.82953	+	5.73605i	0.623448	+	0.523627i
$121$			9.17278i			0.833889i
$122$	0.178125	+	6.15446i	0.0161267	+	0.557198i
$123$	−15.0576	+	15.0576i	−1.35770	+	1.35770i
$124$	−0.00767968	−	0.132560i	−0.000689655	−	0.0119042i
$125$	−0.707107	−	0.707107i	−0.0632456	−	0.0632456i
$126$	−25.1215	+	6.61810i	−2.23800	+	0.589587i
$127$		−	6.91067i		−	0.613223i	−0.951835	−	0.306611i	$-0.900805\pi$
$127$		−	6.91067i		−	0.613223i	0.951835	−	0.306611i	$-0.0991952\pi$
$128$	−6.22720	+	9.44574i	−0.550412	+	0.834893i
$129$		−	27.4785i		−	2.41934i
$130$	4.80767	+	4.53721i	0.421661	+	0.397939i
$131$	−7.19795	+	7.19795i	−0.628888	+	0.628888i	−0.947788	−	0.318900i	$-0.896686\pi$
$131$	−7.19795	+	7.19795i	−0.628888	+	0.628888i	0.318900	+	0.947788i	$0.396686\pi$
$132$	−8.51057	+	0.493048i	−0.740750	+	0.0429143i
$133$	16.9465	−	3.94389i	1.46944	−	0.341978i
$134$	−0.141665	−	4.89471i	−0.0122380	−	0.422839i
$135$	12.4336			1.07011
$136$	6.80729	+	5.71737i	0.583720	+	0.490260i
$137$		−	14.5357i		−	1.24187i	−0.783864	−	0.620933i	$-0.786754\pi$
$137$		−	14.5357i		−	1.24187i	0.783864	−	0.620933i	$-0.213246\pi$
$138$	15.3161	−	0.443286i	1.30379	−	0.0377350i
$139$	3.60031	+	3.60031i	0.305375	+	0.305375i	0.843112	−	0.537738i	$-0.180721\pi$
$139$	3.60031	+	3.60031i	0.305375	+	0.305375i	−0.537738	+	0.843112i	$0.680721\pi$
$140$	1.49549	+	5.07578i	0.126392	+	0.428981i
$141$	−25.9160	+	25.9160i	−2.18252	+	2.18252i
$142$	0.988337	+	0.932736i	0.0829394	+	0.0782735i
$143$	−6.31860			−0.528388
$144$	3.20714	+	27.5865i	0.267262	+	2.29888i
$145$		−	6.23100i		−	0.517457i
$146$	0.250789	+	0.236680i	0.0207554	+	0.0195878i
$147$	−20.8955	−	7.11257i	−1.72343	−	0.586635i
$148$	8.57497	−	9.62963i	0.704858	−	0.791550i
$149$	6.29917	+	6.29917i	0.516048	+	0.516048i	0.916373	−	0.400325i	$-0.131103\pi$
$149$	6.29917	+	6.29917i	0.516048	+	0.516048i	−0.400325	+	0.916373i	$0.631103\pi$
$150$	−0.129012	−	4.45753i	−0.0105338	−	0.363955i
$151$	1.43096			0.116450			0.0582250	−	0.998303i	$-0.481456\pi$
$151$	1.43096			0.116450			0.0582250	+	0.998303i	$0.481456\pi$
$152$	−1.61257	−	18.5306i	−0.130797	−	1.50303i
$153$	21.8221			1.76421
$154$	−4.36948	−	2.54730i	−0.352103	−	0.205267i
$155$	−0.0469456	+	0.0469456i	−0.00377076	+	0.00377076i
$156$	1.70498	+	29.4299i	0.136507	+	2.35628i
$157$	−10.1663	−	10.1663i	−0.811360	−	0.811360i	0.173478	−	0.984838i	$-0.444500\pi$
$157$	−10.1663	−	10.1663i	−0.811360	−	0.811360i	−0.984838	+	0.173478i	$0.944500\pi$
$158$	15.4915	−	16.4150i	1.23244	−	1.30591i
$159$	−35.6425			−2.82663
$160$	5.59776	−	0.815538i	0.442542	−	0.0644739i
$161$	7.71794	+	4.80380i	0.608258	+	0.378592i
$162$	18.9012	+	17.8379i	1.48502	+	1.40147i
$163$	12.2221	+	12.2221i	0.957309	+	0.957309i	0.999125	−	0.0418163i	$-0.0133144\pi$
$163$	12.2221	+	12.2221i	0.957309	+	0.957309i	−0.0418163	+	0.999125i	$0.513314\pi$
$164$	0.781166	+	13.4838i	0.0609988	+	1.05291i
$165$	3.01399	+	3.01399i	0.234638	+	0.234638i
$166$	14.7759	−	0.427652i	1.14683	−	0.0331923i
$167$		−	8.64061i		−	0.668630i	−0.942461	−	0.334315i	$-0.891495\pi$
$167$		−	8.64061i		−	0.668630i	0.942461	−	0.334315i	$-0.108505\pi$
$168$	−10.6854	+	21.0389i	−0.824398	+	1.62319i
$169$			8.84997i			0.680767i
$170$	−0.128592	−	4.44301i	−0.00986255	−	0.340763i
$171$	−32.2865	−	32.2865i	−2.46901	−	2.46901i
$172$	−13.0160	−	11.5905i	−0.992461	−	0.883765i
$173$	−8.70399	−	8.70399i	−0.661752	−	0.661752i	0.294041	−	0.955793i	$-0.405000\pi$
$173$	−8.70399	−	8.70399i	−0.661752	−	0.661752i	−0.955793	+	0.294041i	$0.905000\pi$
$174$	19.0714	−	20.2082i	1.44580	−	1.53198i
$175$	1.39808	−	2.24619i	0.105685	−	0.169796i
$176$	−3.35623	+	4.23926i	−0.252985	+	0.319546i
$177$	5.85349			0.439975
$178$	−3.13830	−	2.96175i	−0.235226	−	0.221993i
$179$	−6.25589	−	6.25589i	−0.467587	−	0.467587i	0.433545	−	0.901132i	$-0.357263\pi$
$179$	−6.25589	−	6.25589i	−0.467587	−	0.467587i	−0.901132	+	0.433545i	$0.857263\pi$
$180$	9.23467	−	10.3705i	0.688312	−	0.772969i
$181$	−7.70086	+	7.70086i	−0.572400	+	0.572400i	−0.932798	−	0.360398i	$-0.882641\pi$
$181$	−7.70086	+	7.70086i	−0.572400	+	0.572400i	0.360398	+	0.932798i	$0.382641\pi$
$182$	−8.80867	+	15.1098i	−0.652942	+	1.12002i
$183$	13.7283			1.01483
$184$	6.25038	−	7.44190i	0.460784	−	0.548625i
$185$	−6.44709			−0.473999
$186$	−0.295940	+	0.00856526i	−0.0216994	+	0.000628035i
$187$	3.00417	+	3.00417i	0.219687	+	0.219687i
$188$	1.34448	+	23.2073i	0.0980562	+	1.69256i
$189$	7.45655	+	32.0400i	0.542384	+	2.33057i
$190$	−6.38332	+	6.76383i	−0.463095	+	0.490700i
$191$			14.1629i			1.02479i	0.858749	+	0.512397i	$0.171242\pi$
$191$			14.1629i			1.02479i	−0.858749	+	0.512397i	$0.828758\pi$
$192$	20.6506	+	14.4882i	1.49033	+	1.04560i
$193$	−4.80163			−0.345629			−0.172815	−	0.984954i	$-0.555286\pi$
$193$	−4.80163			−0.345629			−0.172815	+	0.984954i	$0.555286\pi$
$194$	−13.5572	+	14.3653i	−0.973350	+	1.03137i
$195$	10.4225	−	10.4225i	0.746369	−	0.746369i
$196$	−12.1828	+	6.89770i	−0.870203	+	0.492693i
$197$	11.6602	+	11.6602i	0.830752	+	0.830752i	0.987620	−	0.156868i	$-0.0501397\pi$
$197$	11.6602	+	11.6602i	0.830752	+	0.830752i	−0.156868	+	0.987620i	$0.550140\pi$
$198$	0.383988	+	13.2673i	0.0272888	+	0.942864i
$199$		−	0.403686i		−	0.0286165i	−0.999898	−	0.0143083i	$-0.995445\pi$
$199$		−	0.403686i		−	0.0286165i	0.999898	−	0.0143083i	$-0.00455462\pi$
$200$	−2.16586	−	1.81908i	−0.153149	−	0.128628i
$201$	−10.9183			−0.770117
$202$	−11.6138	+	0.336132i	−0.817144	+	0.0236502i
$203$	16.0566	−	3.73679i	1.12695	−	0.262271i
$204$	13.1818	−	14.8030i	0.922909	−	1.03642i
$205$	4.77525	−	4.77525i	0.333518	−	0.333518i
$206$	−4.02914	+	4.26932i	−0.280724	+	0.297458i
$207$		−	23.8565i		−	1.65814i
$208$	14.6595	+	11.6060i	1.01645	+	0.804728i
$209$		−	8.88954i		−	0.614902i
$210$	11.4092	−	3.00567i	0.787308	−	0.207411i
$211$	−15.6131	−	15.6131i	−1.07485	−	1.07485i	−0.996962	−	0.0778911i	$-0.975181\pi$
$211$	−15.6131	−	15.6131i	−1.07485	−	1.07485i	−0.0778911	−	0.996962i	$-0.524819\pi$
$212$	−15.0341	+	16.8831i	−1.03254	+	1.15954i
$213$	2.14260	−	2.14260i	0.146809	−	0.146809i
$214$	−11.3921	+	0.329715i	−0.778746	+	0.0225389i
$215$			8.71429i			0.594309i
$216$	35.0351	−	3.04883i	2.38384	−	0.207446i
$217$	−0.149127	−	0.0928199i	−0.0101234	−	0.00630103i
$218$	−21.8434	+	0.632202i	−1.47942	+	0.0428181i
$219$	0.543682	−	0.543682i	0.0367386	−	0.0367386i
$220$	2.69897	−	0.156361i	0.181964	−	0.0105419i
$221$	10.3885	−	10.3885i	0.698809	−	0.698809i
$222$	−20.9090	−	19.7327i	−1.40332	−	1.32437i
$223$	15.2195			1.01917			0.509586	−	0.860420i	$-0.329799\pi$
$223$	15.2195			1.01917			0.509586	+	0.860420i	$0.329799\pi$
$224$	5.45858	+	13.9357i	0.364717	+	0.931119i
$225$	−6.94309			−0.462873
$226$	4.11349	+	3.88208i	0.273625	+	0.258232i
$227$	19.1006	−	19.1006i	1.26775	−	1.26775i	0.320509	−	0.947246i	$-0.396146\pi$
$227$	19.1006	−	19.1006i	1.26775	−	1.26775i	0.947246	−	0.320509i	$-0.103854\pi$
$228$	−41.4044	+	2.39870i	−2.74207	+	0.158858i
$229$	3.40615	−	3.40615i	0.225084	−	0.225084i	−0.585551	−	0.810636i	$-0.699122\pi$
$229$	3.40615	−	3.40615i	0.225084	−	0.225084i	0.810636	+	0.585551i	$0.199122\pi$
$230$	−4.85721	+	0.140580i	−0.320275	+	0.00926957i
$231$	−5.95919	+	9.57422i	−0.392086	+	0.629937i
$232$	−1.52790	−	17.5576i	−0.100311	−	1.15271i
$233$		−	20.5850i		−	1.34857i	−0.738473	−	0.674283i	$-0.764453\pi$
$233$		−	20.5850i		−	1.34857i	0.738473	−	0.674283i	$-0.235547\pi$
$234$	45.8787	−	1.32785i	2.99919	−	0.0868040i
$235$	8.21877	−	8.21877i	0.536133	−	0.536133i
$236$	2.46901	−	2.77268i	0.160719	−	0.180486i
$237$	−35.5858	−	35.5858i	−2.31154	−	2.31154i
$238$	11.3720	−	2.99588i	0.737139	−	0.194194i
$239$		−	4.67109i		−	0.302148i	−0.988522	−	0.151074i	$-0.951727\pi$
$239$		−	4.67109i		−	0.302148i	0.988522	−	0.151074i	$-0.0482731\pi$
$240$	−1.45655	−	12.5287i	−0.0940200	−	0.808723i
$241$			12.4289i			0.800618i	0.916380	+	0.400309i	$0.131097\pi$
$241$			12.4289i			0.800618i	−0.916380	+	0.400309i	$0.868903\pi$
$242$	8.90357	−	9.43431i	0.572343	−	0.606460i
$243$	14.5999	−	14.5999i	0.936585	−	0.936585i
$244$	5.79062	−	6.50283i	0.370707	−	0.416301i
$245$	6.62663	+	2.25562i	0.423360	+	0.144106i
$246$	30.1026	−	0.871246i	1.91927	−	0.0555486i
$247$	−30.7404			−1.95596
$248$	−0.120771	+	0.143794i	−0.00766896	+	0.00913092i
$249$		−	32.9596i		−	2.08873i
$250$	0.0409138	+	1.41362i	0.00258761	+	0.0894053i
$251$	12.3322	+	12.3322i	0.778404	+	0.778404i	0.979559	−	0.201155i	$-0.0644696\pi$
$251$	12.3322	+	12.3322i	0.778404	+	0.778404i	−0.201155	+	0.979559i	$0.564470\pi$
$252$	32.2617	+	17.5774i	2.03229	+	1.10728i
$253$	3.28424	−	3.28424i	0.206478	−	0.206478i
$254$	−6.70785	+	7.10771i	−0.420888	+	0.445977i
$255$	−9.91071			−0.620633
$256$	15.5733	−	3.67062i	0.973329	−	0.229414i
$257$		−	11.8734i		−	0.740643i	−0.928904	−	0.370321i	$-0.879248\pi$
$257$		−	11.8734i		−	0.740643i	0.928904	−	0.370321i	$-0.120752\pi$
$258$	−26.6720	+	28.2619i	−1.66053	+	1.75951i
$259$	−3.86638	−	16.6134i	−0.240245	−	1.03231i
$260$	−0.540702	−	9.33314i	−0.0335329	−	0.578817i
$261$	−30.5911	−	30.5911i	−1.89354	−	1.89354i
$262$	14.3899	−	0.416479i	0.889009	−	0.0257302i
$263$	−4.93863			−0.304529			−0.152265	−	0.988340i	$-0.548657\pi$
$263$	−4.93863			−0.304529			−0.152265	+	0.988340i	$0.548657\pi$
$264$	9.23180	+	7.75369i	0.568178	+	0.477207i
$265$	11.3034			0.694359
$266$	−21.2578	−	12.3928i	−1.30340	−	0.759849i
$267$	−6.80348	+	6.80348i	−0.416367	+	0.416367i
$268$	−4.60535	+	5.17178i	−0.281317	+	0.315917i
$269$	10.4581	+	10.4581i	0.637639	+	0.637639i	0.949973	−	0.312334i	$-0.101111\pi$
$269$	10.4581	+	10.4581i	0.637639	+	0.637639i	−0.312334	+	0.949973i	$0.601111\pi$
$270$	−12.7881	−	12.0687i	−0.778260	−	0.734477i
$271$	−1.29658			−0.0787619			−0.0393809	−	0.999224i	$-0.512539\pi$
$271$	−1.29658			−0.0787619			−0.0393809	+	0.999224i	$0.512539\pi$
$272$	−1.45181	−	12.4879i	−0.0880288	−	0.757189i
$273$	33.1080	+	20.6071i	2.00379	+	1.24720i
$274$	−14.1091	+	14.9501i	−0.852359	+	0.903168i
$275$	−0.955830	−	0.955830i	−0.0576387	−	0.0576387i
$276$	−16.1831	−	14.4107i	−0.974105	−	0.867419i
$277$	2.94838	+	2.94838i	0.177151	+	0.177151i	0.790113	−	0.612962i	$-0.210022\pi$
$277$	2.94838	+	2.94838i	0.177151	+	0.177151i	−0.612962	+	0.790113i	$0.710022\pi$
$278$	−0.208317	−	7.19761i	−0.0124940	−	0.431684i
$279$			0.460960i			0.0275969i
$280$	3.38868	−	6.67209i	0.202512	−	0.398734i
$281$		−	16.7174i		−	0.997275i	−0.866811	−	0.498637i	$-0.833834\pi$
$281$		−	16.7174i		−	0.997275i	0.866811	−	0.498637i	$-0.166166\pi$
$282$	51.8102	−	1.49952i	3.08525	−	0.0892950i
$283$	−14.7247	−	14.7247i	−0.875291	−	0.875291i	0.117752	−	0.993043i	$-0.462431\pi$
$283$	−14.7247	−	14.7247i	−0.875291	−	0.875291i	−0.993043	+	0.117752i	$0.962431\pi$
$284$	−0.111155	−	1.91866i	−0.00659583	−	0.113852i
$285$	14.6632	+	14.6632i	0.868574	+	0.868574i
$286$	6.49876	+	6.13316i	0.384280	+	0.362661i
$287$	15.1690	+	9.44151i	0.895400	+	0.557315i
$288$	23.4783	−	31.4861i	1.38347	−	1.85534i
$289$	7.12156			0.418915
$290$	−6.04813	+	6.40866i	−0.355158	+	0.376330i
$291$	31.1424	+	31.1424i	1.82560	+	1.82560i
$292$	−0.0282054	−	0.486857i	−0.00165059	−	0.0284912i
$293$	−2.85164	+	2.85164i	−0.166595	+	0.166595i	−0.785481	−	0.618886i	$-0.787584\pi$
$293$	−2.85164	+	2.85164i	−0.166595	+	0.166595i	0.618886	+	0.785481i	$0.287584\pi$
$294$	14.5875	+	27.5976i	0.850758	+	1.60953i
$295$	−1.85633			−0.108079
$296$	−18.1665	+	1.58088i	−1.05590	+	0.0918869i
$297$	16.8071			0.975247
$298$	−0.364475	−	12.5931i	−0.0211135	−	0.729497i
$299$	−11.3570	−	11.3570i	−0.656794	−	0.656794i
$300$	−4.19401	+	4.70984i	−0.242141	+	0.271923i
$301$	−22.4557	+	5.22604i	−1.29433	+	0.301224i
$302$	−1.47176	−	1.38896i	−0.0846903	−	0.0799259i
$303$			25.9061i			1.48827i
$304$	−16.3282	+	20.6242i	−0.936488	+	1.18288i
$305$	−4.35368			−0.249291
$306$	−22.4443	−	21.1817i	−1.28306	−	1.21087i
$307$	7.45299	−	7.45299i	0.425365	−	0.425365i	−0.461681	−	0.887046i	$-0.652754\pi$
$307$	7.45299	−	7.45299i	0.425365	−	0.425365i	0.887046	+	0.461681i	$0.152754\pi$
$308$	2.02152	+	6.86117i	0.115187	+	0.390951i
$309$	9.25540	+	9.25540i	0.526521	+	0.526521i
$310$	0.0938520	−	0.00271631i	0.00533043	−	0.000154276i
$311$		−	4.92273i		−	0.279142i	−0.990212	−	0.139571i	$-0.955428\pi$
$311$		−	4.92273i		−	0.279142i	0.990212	−	0.139571i	$-0.0445724\pi$
$312$	26.8126	−	31.9239i	1.51796	−	1.80734i
$313$	−4.21440			−0.238212			−0.119106	−	0.992882i	$-0.538003\pi$
$313$	−4.21440			−0.238212			−0.119106	+	0.992882i	$0.538003\pi$
$314$	0.588231	+	20.3241i	0.0331958	+	1.14696i
$315$	−4.16384	−	17.8916i	−0.234606	−	1.00807i
$316$	−31.8664	+	1.84614i	−1.79263	+	0.103853i
$317$	−19.3905	+	19.3905i	−1.08908	+	1.08908i	−0.0934547	+	0.995624i	$0.529791\pi$
$317$	−19.3905	+	19.3905i	−1.08908	+	1.08908i	−0.995624	+	0.0934547i	$0.970209\pi$
$318$	36.6587	+	34.5964i	2.05572	+	1.94007i
$319$		−	8.42274i		−	0.471583i
$320$	−6.54896	−	4.59468i	−0.366098	−	0.256850i
$321$			25.4115i			1.41833i
$322$	−3.27518	−	12.4322i	−0.182518	−	0.692819i
$323$	14.6155	+	14.6155i	0.813226	+	0.813226i
$324$	−2.12575	−	36.6929i	−0.118097	−	2.03849i
$325$	−3.30530	+	3.30530i	−0.183345	+	0.183345i
$326$	−0.707181	−	24.4340i	−0.0391671	−	1.35327i
$327$			48.7245i			2.69447i
$328$	12.2847	−	14.6265i	0.678306	−	0.807614i
$329$	26.1077	+	16.2500i	1.43936	+	0.895889i
$330$	−0.174392	−	6.02545i	−0.00959994	−	0.331690i
$331$	−5.49374	+	5.49374i	−0.301963	+	0.301963i	−0.841781	−	0.539818i	$-0.818493\pi$
$331$	−5.49374	+	5.49374i	−0.301963	+	0.301963i	0.539818	+	0.841781i	$0.318493\pi$
$332$	−15.6123	−	13.9024i	−0.856837	−	0.762994i
$333$	−31.6520	+	31.6520i	−1.73452	+	1.73452i
$334$	−8.38701	+	8.88696i	−0.458917	+	0.486273i
$335$	3.46253			0.189178
$336$	31.4115	−	11.2669i	1.71364	−	0.614662i
$337$	4.88070			0.265869			0.132934	−	0.991125i	$-0.457560\pi$
$337$	4.88070			0.265869			0.132934	+	0.991125i	$0.457560\pi$
$338$	8.59024	−	9.10230i	0.467247	−	0.495100i
$339$	8.91758	−	8.91758i	0.484336	−	0.484336i
$340$	−4.18036	+	4.69451i	−0.226712	+	0.254595i
$341$	−0.0634587	+	0.0634587i	−0.00343648	+	0.00343648i
$342$	1.86812	+	64.5460i	0.101017	+	3.49025i
$343$	−1.83843	+	18.4288i	−0.0992660	+	0.995061i
$344$	2.13682	+	24.5549i	0.115210	+	1.32391i
$345$			10.8346i			0.583318i
$346$	0.503620	+	17.4007i	0.0270748	+	0.935467i
$347$	−22.6931	+	22.6931i	−1.21823	+	1.21823i	−0.249977	+	0.968252i	$0.580423\pi$
$347$	−22.6931	+	22.6931i	−1.21823	+	1.21823i	−0.968252	+	0.249977i	$0.919577\pi$
$348$	−39.2303	+	2.27275i	−2.10296	+	0.121832i
$349$	9.36978	+	9.36978i	0.501553	+	0.501553i	0.911920	−	0.410367i	$-0.134600\pi$
$349$	9.36978	+	9.36978i	0.501553	+	0.501553i	−0.410367	+	0.911920i	$0.634600\pi$
$350$	−3.61821	+	0.953192i	−0.193401	+	0.0509503i
$351$		−	58.1196i		−	3.10219i
$352$	7.56676	−	1.10240i	0.403309	−	0.0587582i
$353$		−	4.04350i		−	0.215214i	−0.994194	−	0.107607i	$-0.965681\pi$
$353$		−	4.04350i		−	0.215214i	0.994194	−	0.107607i	$-0.0343188\pi$
$354$	−6.02038	−	5.68169i	−0.319980	−	0.301979i
$355$	−0.679486	+	0.679486i	−0.0360634	+	0.0360634i
$356$	0.352954	+	6.09240i	0.0187065	+	0.322896i
$357$	−5.94355	−	25.5388i	−0.314566	−	1.35166i
$358$	0.361971	+	12.5065i	0.0191308	+	0.660992i
$359$	−16.1347			−0.851556			−0.425778	−	0.904828i	$-0.640000\pi$
$359$	−16.1347			−0.851556			−0.425778	+	0.904828i	$0.640000\pi$
$360$	−19.5641	+	1.70251i	−1.03112	+	0.0897299i
$361$		−	24.2481i		−	1.27622i
$362$	15.3953	−	0.445578i	0.809157	−	0.0234190i
$363$	−20.4525	−	20.4525i	−1.07348	−	1.07348i
$364$	23.7262	−	6.99050i	1.24359	−	0.366402i
$365$	−0.172419	+	0.172419i	−0.00902481	+	0.00902481i
$366$	−14.1197	−	13.3254i	−0.738050	−	0.696530i
$367$	−3.27399			−0.170901			−0.0854504	−	0.996342i	$-0.527233\pi$
$367$	−3.27399			−0.170901			−0.0854504	+	0.996342i	$0.527233\pi$
$368$	−13.6521	+	1.58715i	−0.711664	+	0.0827361i
$369$		−	46.8882i		−	2.44090i
$370$	6.63091	+	6.25787i	0.344724	+	0.325331i
$371$	6.77873	+	29.1275i	0.351934	+	1.51222i
$372$	0.312692	+	0.278445i	0.0162123	+	0.0144367i
$373$	−10.8747	−	10.8747i	−0.563070	−	0.563070i	0.367108	−	0.930178i	$-0.380348\pi$
$373$	−10.8747	−	10.8747i	−0.563070	−	0.563070i	−0.930178	+	0.367108i	$0.880348\pi$
$374$	−0.173824	−	6.00583i	−0.00898822	−	0.310554i
$375$	3.15327			0.162834
$376$	21.1433	−	25.1740i	1.09038	−	1.29825i
$377$	−29.1262			−1.50007
$378$	23.4305	−	40.1912i	1.20514	−	2.06721i
$379$	−13.8222	+	13.8222i	−0.709999	+	0.709999i	−0.966535	−	0.256536i	$-0.917419\pi$
$379$	−13.8222	+	13.8222i	−0.709999	+	0.709999i	0.256536	+	0.966535i	$0.417419\pi$
$380$	13.1306	−	0.760705i	0.673588	−	0.0390233i
$381$	15.4087	+	15.4087i	0.789411	+	0.789411i
$382$	13.7473	−	14.5667i	0.703371	−	0.745299i
$383$	23.2232			1.18665			0.593324	−	0.804963i	$-0.297815\pi$
$383$	23.2232			1.18665			0.593324	+	0.804963i	$0.297815\pi$
$384$	−7.17638	−	34.9459i	−0.366218	−	1.78332i
$385$	1.88985	−	3.03629i	0.0963155	−	0.154743i
$386$	4.93854	+	4.66071i	0.251365	+	0.237224i
$387$	42.7828	+	42.7828i	2.17477	+	2.17477i
$388$	27.8875	−	1.61562i	1.41577	−	0.0820207i
$389$	8.66530	+	8.66530i	0.439348	+	0.439348i	0.891793	−	0.452444i	$-0.149448\pi$
$389$	8.66530	+	8.66530i	0.439348	+	0.439348i	−0.452444	+	0.891793i	$0.649448\pi$
$390$	−20.8362	+	0.603053i	−1.05508	+	0.0305368i
$391$			10.7994i			0.546147i
$392$	19.2255	+	4.73093i	0.971032	+	0.238948i
$393$		−	32.0985i		−	1.61915i
$394$	−0.674666	−	23.3106i	−0.0339892	−	1.17437i
$395$	11.2854	+	11.2854i	0.567829	+	0.567829i
$396$	12.4829	−	14.0183i	0.627292	−	0.704444i
$397$	11.9896	+	11.9896i	0.601739	+	0.601739i	0.940774	−	0.339035i	$-0.110101\pi$
$397$	11.9896	+	11.9896i	0.601739	+	0.601739i	−0.339035	+	0.940774i	$0.610101\pi$
$398$	−0.391838	+	0.415196i	−0.0196411	+	0.0208119i
$399$	−28.9918	+	46.5791i	−1.45140	+	2.33187i
$400$	0.461918	+	3.97324i	0.0230959	+	0.198662i
$401$	−26.0820			−1.30247			−0.651235	−	0.758876i	$-0.725749\pi$
$401$	−26.0820			−1.30247			−0.651235	+	0.758876i	$0.725749\pi$
$402$	11.2296	+	10.5978i	0.560081	+	0.528573i
$403$	0.219443	+	0.219443i	0.0109312	+	0.0109312i
$404$	12.2712	+	10.9272i	0.610515	+	0.543650i
$405$	−12.9946	+	12.9946i	−0.645709	+	0.645709i
$406$	−20.1415	−	11.7420i	−0.999607	−	0.582747i
$407$	−8.71484			−0.431978
$408$	−27.9262	+	2.43019i	−1.38255	+	0.120312i
$409$	−27.0760			−1.33882			−0.669411	−	0.742892i	$-0.733453\pi$
$409$	−27.0760			−1.33882			−0.669411	+	0.742892i	$0.733453\pi$
$410$	−9.54649	+	0.276300i	−0.471468	+	0.0136455i
$411$	32.4101	+	32.4101i	1.59867	+	1.59867i
$412$	8.28804	−	0.480156i	0.408323	−	0.0236556i
$413$	−1.11326	−	4.78354i	−0.0547797	−	0.235383i
$414$	−23.1563	+	24.5367i	−1.13807	+	1.20591i
$415$			10.4525i			0.513094i
$416$	−3.81215	−	26.1661i	−0.186906	−	1.28290i
$417$	−16.0552			−0.786227
$418$	−8.62864	+	9.14299i	−0.422040	+	0.447198i
$419$	−6.28093	+	6.28093i	−0.306844	+	0.306844i	−0.843684	−	0.536840i	$-0.819618\pi$
$419$	−6.28093	+	6.28093i	−0.306844	+	0.306844i	0.536840	+	0.843684i	$0.319618\pi$
$420$	−14.6519	−	7.98296i	−0.714941	−	0.389528i
$421$	27.8063	+	27.8063i	1.35520	+	1.35520i	0.879739	+	0.475457i	$0.157717\pi$
$421$	27.8063	+	27.8063i	1.35520	+	1.35520i	0.475457	+	0.879739i	$0.342283\pi$
$422$	0.903389	+	31.2132i	0.0439763	+	1.51944i
$423$		−	80.7001i		−	3.92377i
$424$	31.8503	−	2.77168i	1.54679	−	0.134605i
$425$	3.14300			0.152458
$426$	−4.28341	+	0.123973i	−0.207532	+	0.00600649i
$427$	−2.61094	−	11.2189i	−0.126352	−	0.542923i
$428$	12.0369	+	10.7186i	0.581827	+	0.518104i
$429$	14.0886	−	14.0886i	0.680202	−	0.680202i
$430$	8.45853	−	8.96275i	0.407907	−	0.432222i
$431$		−	2.71134i		−	0.130600i	−0.997866	−	0.0653002i	$-0.979199\pi$
$431$		−	2.71134i		−	0.130600i	0.997866	−	0.0653002i	$-0.0208005\pi$
$432$	−38.9934	−	30.8711i	−1.87607	−	1.48529i
$433$			11.2249i			0.539433i	0.962940	+	0.269716i	$0.0869299\pi$
$433$			11.2249i			0.539433i	−0.962940	+	0.269716i	$0.913070\pi$
$434$	0.0632836	+	0.240217i	0.00303771	+	0.0115308i
$435$	13.8932	+	13.8932i	0.666130	+	0.666130i
$436$	23.0798	+	20.5521i	1.10532	+	0.984266i
$437$	15.9780	−	15.9780i	0.764332	−	0.764332i
$438$	−1.08691	+	0.0314579i	−0.0519345	+	0.00150312i
$439$			9.79918i			0.467689i	0.972274	+	0.233845i	$0.0751307\pi$
$439$			9.79918i			0.467689i	−0.972274	+	0.233845i	$0.924869\pi$
$440$	−2.92769	−	2.45894i	−0.139572	−	0.117225i
$441$	43.6074	−	21.4595i	2.07654	−	1.02188i
$442$	−20.7684	+	0.601089i	−0.987852	+	0.0285909i
$443$	−5.75354	+	5.75354i	−0.273359	+	0.273359i	−0.830451	−	0.557092i	$-0.811917\pi$
$443$	−5.75354	+	5.75354i	−0.273359	+	0.273359i	0.557092	+	0.830451i	$0.311917\pi$
$444$	2.35156	+	40.5907i	0.111600	+	1.92635i
$445$	2.15760	−	2.15760i	0.102280	−	0.102280i
$446$	−15.6534	−	14.7728i	−0.741210	−	0.699512i
$447$	−28.0905			−1.32863
$448$	7.91250	−	19.6314i	0.373830	−	0.927497i
$449$	−19.7869			−0.933802			−0.466901	−	0.884310i	$-0.654630\pi$
$449$	−19.7869			−0.933802			−0.466901	+	0.884310i	$0.654630\pi$
$450$	7.14105	+	6.73932i	0.336632	+	0.317694i
$451$	6.45493	−	6.45493i	0.303951	−	0.303951i
$452$	−0.462630	−	7.98553i	−0.0217603	−	0.375608i
$453$	−3.19061	+	3.19061i	−0.149908	+	0.149908i
$454$	−38.1853	+	1.10518i	−1.79212	+	0.0518686i
$455$	−10.4996	−	6.53516i	−0.492229	−	0.306373i
$456$	44.9132	+	37.7221i	2.10325	+	1.76650i
$457$		−	18.2140i		−	0.852014i	−0.904720	−	0.426007i	$-0.859920\pi$
$457$		−	18.2140i		−	0.852014i	0.904720	−	0.426007i	$-0.140080\pi$
$458$	−6.80944	+	0.197082i	−0.318184	+	0.00920905i
$459$	−27.6329	+	27.6329i	−1.28979	+	1.28979i
$460$	5.13216	+	4.57007i	0.239288	+	0.213081i
$461$	3.34577	+	3.34577i	0.155828	+	0.155828i	0.780715	−	0.624887i	$-0.214855\pi$
$461$	3.34577	+	3.34577i	0.155828	+	0.155828i	−0.624887	+	0.780715i	$0.714855\pi$
$462$	15.4223	−	4.06291i	0.717511	−	0.189023i
$463$			21.8339i			1.01471i	0.861737	+	0.507355i	$0.169377\pi$
$463$			21.8339i			1.01471i	−0.861737	+	0.507355i	$0.830623\pi$
$464$	−15.4708	+	19.5412i	−0.718215	+	0.907179i
$465$		−	0.209349i		−	0.00970833i
$466$	−19.9808	+	21.1719i	−0.925593	+	0.980768i
$467$	−10.9968	+	10.9968i	−0.508873	+	0.508873i	−0.914180	−	0.405307i	$-0.867165\pi$
$467$	−10.9968	+	10.9968i	−0.508873	+	0.508873i	0.405307	+	0.914180i	$0.367165\pi$
$468$	−48.4757	−	43.1665i	−2.24079	−	1.99537i
$469$	2.07651	+	8.92256i	0.0958845	+	0.412005i
$470$	−16.4307	+	0.475544i	−0.757889	+	0.0219352i
$471$	45.3356			2.08895
$472$	−5.23071	+	0.455187i	−0.240763	+	0.0209517i
$473$			11.7795i			0.541623i
$474$	2.05902	+	71.1418i	0.0945740	+	3.26765i
$475$	−4.65017	−	4.65017i	−0.213364	−	0.213364i
$476$	−14.6042	−	7.95696i	−0.669383	−	0.364707i
$477$	55.4939	−	55.4939i	2.54089	−	2.54089i
$478$	−4.53400	+	4.80427i	−0.207380	+	0.219742i
$479$	17.9602			0.820624			0.410312	−	0.911945i	$-0.365420\pi$
$479$	17.9602			0.820624			0.410312	+	0.911945i	$0.365420\pi$
$480$	−10.6629	+	14.2997i	−0.486692	+	0.652689i
$481$			30.1362i			1.37409i
$482$	12.0642	−	12.7833i	0.549508	−	0.582264i
$483$	−27.9197	+	6.49764i	−1.27039	+	0.295653i
$484$	−18.3148	+	1.06104i	−0.832493	+	0.0482293i
$485$	−9.87624	−	9.87624i	−0.448457	−	0.448457i
$486$	−29.1876	+	0.844763i	−1.32398	+	0.0383192i
$487$	−24.1285			−1.09337			−0.546683	−	0.837340i	$-0.684110\pi$
$487$	−24.1285			−1.09337			−0.546683	+	0.837340i	$0.684110\pi$
$488$	−12.2677	+	1.06756i	−0.555333	+	0.0483262i
$489$	−54.5031			−2.46472
$490$	−4.62614	−	8.75207i	−0.208988	−	0.395378i
$491$	24.9518	−	24.9518i	1.12606	−	1.12606i	0.135245	−	0.990812i	$-0.456818\pi$
$491$	24.9518	−	24.9518i	1.12606	−	1.12606i	0.990812	−	0.135245i	$-0.0431821\pi$
$492$	−31.8066	−	28.3231i	−1.43395	−	1.27690i
$493$	13.8480	+	13.8480i	0.623683	+	0.623683i
$494$	31.6168	+	29.8382i	1.42251	+	1.34248i
$495$	−9.38530			−0.421838
$496$	0.263788	−	0.0306673i	0.0118444	−	0.00137700i
$497$	−2.15845	−	1.34347i	−0.0968199	−	0.0602627i
$498$	−31.9923	+	33.8993i	−1.43361	+	1.51907i
$499$	−23.6089	−	23.6089i	−1.05688	−	1.05688i	−0.998282	−	0.0585958i	$-0.981338\pi$
$499$	−23.6089	−	23.6089i	−1.05688	−	1.05688i	−0.0585958	−	0.998282i	$-0.518662\pi$
$500$	1.33005	−	1.49364i	0.0594818	−	0.0667976i
$501$	19.2659	+	19.2659i	0.860738	+	0.860738i
$502$	−0.713553	−	24.6541i	−0.0318474	−	1.10037i
$503$			21.8730i			0.975268i	0.873048	+	0.487634i	$0.162140\pi$
$503$			21.8730i			0.975268i	−0.873048	+	0.487634i	$0.837860\pi$
$504$	−16.1199	−	49.3934i	−0.718039	−	2.20016i
$505$		−	8.21563i		−	0.365591i
$506$	−6.56573	+	0.190029i	−0.291882	+	0.00844780i
$507$	−19.7328	−	19.7328i	−0.876362	−	0.876362i
$508$	13.7982	−	0.799379i	0.612196	−	0.0354667i
$509$	18.9510	+	18.9510i	0.839987	+	0.839987i	0.988857	−	0.148870i	$-0.0475636\pi$
$509$	18.9510	+	18.9510i	0.839987	+	0.839987i	−0.148870	+	0.988857i	$0.547564\pi$
$510$	10.1933	+	9.61984i	0.451366	+	0.425974i
$511$	−0.547705	−	0.340902i	−0.0242290	−	0.0150806i
$512$	−19.5802	−	11.3409i	−0.865330	−	0.501203i
$513$	81.7675			3.61012
$514$	−11.5249	+	12.2119i	−0.508343	+	0.538646i
$515$	−2.93518	−	2.93518i	−0.129339	−	0.129339i
$516$	54.8649	−	3.17852i	2.41529	−	0.139927i
$517$	11.1097	−	11.1097i	0.488604	−	0.488604i
$518$	−12.1492	+	20.8400i	−0.533806	+	0.915657i
$519$	38.8145			1.70377
$520$	−8.50311	+	10.1241i	−0.372886	+	0.443970i
$521$	7.05789			0.309212			0.154606	−	0.987976i	$-0.450589\pi$
$521$	7.05789			0.309212			0.154606	+	0.987976i	$0.450589\pi$
$522$	1.77003	+	61.1567i	0.0774720	+	2.67676i
$523$	−15.7354	−	15.7354i	−0.688062	−	0.688062i	0.273741	−	0.961803i	$-0.411739\pi$
$523$	−15.7354	−	15.7354i	−0.688062	−	0.688062i	−0.961803	+	0.273741i	$0.911739\pi$
$524$	−15.2044	−	13.5392i	−0.664208	−	0.591462i
$525$	1.89104	+	8.12561i	0.0825319	+	0.354631i
$526$	5.07944	+	4.79369i	0.221474	+	0.209015i
$527$		−	0.208667i		−	0.00908969i
$528$	−1.96889	−	16.9356i	−0.0856849	−	0.737028i
$529$	−11.1939			−0.486689
$530$	−11.6256	−	10.9716i	−0.504985	−	0.476576i
$531$	−9.11364	+	9.11364i	−0.395498	+	0.395498i
$532$	9.83482	+	33.3800i	0.426393	+	1.44721i
$533$	−22.3214	−	22.3214i	−0.966847	−	0.966847i
$534$	13.6013	−	0.393655i	0.588585	−	0.0170351i
$535$		−	8.05879i		−	0.348412i
$536$	9.75665	−	0.849043i	0.421423	−	0.0366731i
$537$	27.8975			1.20386
$538$	−0.605112	−	20.9074i	−0.0260882	−	0.901380i
$539$	8.95753	+	3.04903i	0.385828	+	0.131331i
$540$	1.43823	+	24.8256i	0.0618918	+	1.06832i
$541$	6.21115	−	6.21115i	0.267038	−	0.267038i	−0.560867	−	0.827906i	$-0.689532\pi$
$541$	6.21115	−	6.21115i	0.267038	−	0.267038i	0.827906	+	0.560867i	$0.189532\pi$
$542$	1.33355	+	1.25853i	0.0572810	+	0.0540585i
$543$		−	34.3411i		−	1.47372i
$544$	−10.6282	+	14.2531i	−0.455679	+	0.611098i
$545$		−	15.4521i		−	0.661894i
$546$	−14.0497	−	53.3310i	−0.601271	−	2.28236i
$547$	−28.4054	−	28.4054i	−1.21453	−	1.21453i	−0.969521	−	0.245007i	$-0.921210\pi$
$547$	−28.4054	−	28.4054i	−1.21453	−	1.21453i	−0.245007	−	0.969521i	$-0.578790\pi$
$548$	29.0227	−	1.68139i	1.23979	−	0.0718252i
$549$	−21.3744	+	21.3744i	−0.912238	+	0.912238i
$550$	0.0553051	+	1.91086i	0.00235822	+	0.0814793i
$551$		−	40.9771i		−	1.74568i
$552$	2.65675	+	30.5296i	0.113079	+	1.29943i
$553$	−22.3132	+	35.8491i	−0.948853	+	1.52446i
$554$	−0.170595	−	5.89429i	−0.00724791	−	0.250424i
$555$	14.3750	−	14.3750i	0.610187	−	0.610187i
$556$	−6.77212	+	7.60504i	−0.287202	+	0.322525i
$557$	31.1967	−	31.1967i	1.32185	−	1.32185i	0.409567	−	0.912280i	$-0.365680\pi$
$557$	31.1967	−	31.1967i	1.32185	−	1.32185i	0.912280	−	0.409567i	$-0.134320\pi$
$558$	0.447431	−	0.474103i	0.0189413	−	0.0200704i
$559$	40.7340			1.72287
$560$	−9.96157	+	3.57310i	−0.420953	+	0.150991i
$561$	−13.3968			−0.565613
$562$	−16.2267	+	17.1940i	−0.684483	+	0.725286i
$563$	−28.8677	+	28.8677i	−1.21663	+	1.21663i	−0.247825	+	0.968805i	$0.579716\pi$
$563$	−28.8677	+	28.8677i	−1.21663	+	1.21663i	−0.968805	+	0.247825i	$0.920284\pi$
$564$	−54.7429	−	48.7474i	−2.30509	−	2.05263i
$565$	−2.82804	+	2.82804i	−0.118977	+	0.118977i
$566$	0.851981	+	29.4370i	0.0358114	+	1.23733i
$567$	−41.2787	−	25.6927i	−1.73354	−	1.07899i
$568$	−1.74803	+	2.08126i	−0.0733455	+	0.0873276i
$569$		−	45.4701i		−	1.90620i	−0.302648	−	0.953102i	$-0.597871\pi$
$569$		−	45.4701i		−	1.90620i	0.302648	−	0.953102i	$-0.402129\pi$
$570$	−0.848425	−	29.3142i	−0.0355366	−	1.22783i
$571$	−15.4799	+	15.4799i	−0.647813	+	0.647813i	−0.952464	−	0.304651i	$-0.901460\pi$
$571$	−15.4799	+	15.4799i	−0.647813	+	0.647813i	0.304651	+	0.952464i	$0.401460\pi$
$572$	−0.730893	−	12.6161i	−0.0305602	−	0.527504i
$573$	−31.5790	−	31.5790i	−1.31923	−	1.31923i
$574$	−6.43712	−	24.4345i	−0.268680	−	1.01988i
$575$		−	3.43601i		−	0.143291i
$576$	−54.7098	+	9.59456i	−2.27957	+	0.399773i
$577$			35.8160i			1.49104i	0.666483	+	0.745520i	$0.267799\pi$
$577$			35.8160i			1.49104i	−0.666483	+	0.745520i	$0.732201\pi$
$578$	−7.32461	−	6.91255i	−0.304663	−	0.287524i
$579$	10.7062	−	10.7062i	0.444934	−	0.444934i
$580$	12.4411	−	0.720760i	0.516591	−	0.0299279i
$581$	−26.9350	+	6.26848i	−1.11745	+	0.260060i
$582$	−1.80192	−	62.2587i	−0.0746922	−	2.58071i
$583$	15.2793			0.632803
$584$	−0.443559	+	0.528116i	−0.0183546	+	0.0218536i
$585$			32.4547i			1.34184i
$586$	5.70090	−	0.164998i	0.235502	−	0.00681602i
$587$	−20.5787	−	20.5787i	−0.849375	−	0.849375i	0.140680	−	0.990055i	$-0.455071\pi$
$587$	−20.5787	−	20.5787i	−0.849375	−	0.849375i	−0.990055	+	0.140680i	$0.955071\pi$
$588$	11.7843	−	42.5438i	0.485976	−	1.75448i
$589$	−0.308730	+	0.308730i	−0.0127210	+	0.0127210i
$590$	1.90925	+	1.80184i	0.0786027	+	0.0741808i
$591$	−51.9972			−2.13888
$592$	20.2189	+	16.0073i	0.830992	+	0.657898i
$593$		−	33.7901i		−	1.38759i	−0.720172	−	0.693796i	$-0.755937\pi$
$593$		−	33.7901i		−	1.38759i	0.720172	−	0.693796i	$-0.244063\pi$
$594$	−17.2863	−	16.3138i	−0.709265	−	0.669364i
$595$	1.88489	+	8.09915i	0.0772728	+	0.332033i
$596$	−11.8486	+	13.3059i	−0.485338	+	0.545031i
$597$	0.900097	+	0.900097i	0.0368385	+	0.0368385i
$598$	0.657126	+	22.7045i	0.0268719	+	0.928458i
$599$	−2.27336			−0.0928871			−0.0464436	−	0.998921i	$-0.514789\pi$
$599$	−2.27336			−0.0928871			−0.0464436	+	0.998921i	$0.514789\pi$
$600$	8.88520	−	0.773208i	0.362737	−	0.0315661i
$601$	−17.4234			−0.710717			−0.355359	−	0.934730i	$-0.615641\pi$
$601$	−17.4234			−0.710717			−0.355359	+	0.934730i	$0.615641\pi$
$602$	28.1687	+	16.4216i	1.14807	+	0.669296i
$603$	16.9993	−	16.9993i	0.692266	−	0.692266i
$604$	0.165524	+	2.85713i	0.00673507	+	0.116255i
$605$	6.48613	+	6.48613i	0.263699	+	0.263699i
$606$	25.1458	−	26.6447i	1.02148	−	1.08237i
$607$	−21.0940			−0.856178			−0.428089	−	0.903737i	$-0.640813\pi$
$607$	−21.0940			−0.856178			−0.428089	+	0.903737i	$0.640813\pi$
$608$	36.8127	−	5.36324i	1.49295	−	0.217508i
$609$	−27.4694	+	44.1332i	−1.11312	+	1.78837i
$610$	4.47781	+	4.22590i	0.181301	+	0.171102i
$611$	−38.4178	−	38.4178i	−1.55422	−	1.55422i
$612$	2.52423	+	43.5712i	0.102036	+	1.76126i
$613$	30.7598	+	30.7598i	1.24238	+	1.24238i	0.959012	+	0.283364i	$0.0914506\pi$
$613$	30.7598	+	30.7598i	1.24238	+	1.24238i	0.283364	+	0.959012i	$0.408549\pi$
$614$	−14.8997	+	0.431236i	−0.601305	+	0.0174033i
$615$			21.2947i			0.858685i
$616$	4.58064	−	9.01899i	0.184559	−	0.363385i
$617$			25.8466i			1.04055i	0.854000	+	0.520273i	$0.174170\pi$
$617$			25.8466i			1.04055i	−0.854000	+	0.520273i	$0.825830\pi$
$618$	−0.535525	−	18.5031i	−0.0215420	−	0.744302i
$619$	25.6901	+	25.6901i	1.03257	+	1.03257i	0.999451	+	0.0331202i	$0.0105444\pi$
$619$	25.6901	+	25.6901i	1.03257	+	1.03257i	0.0331202	+	0.999451i	$0.489456\pi$
$620$	−0.0991645	−	0.0883038i	−0.00398254	−	0.00354636i
$621$	30.2090	+	30.2090i	1.21224	+	1.21224i
$622$	−4.77825	+	5.06309i	−0.191591	+	0.203011i
$623$	6.85382	+	4.26596i	0.274593	+	0.170912i
$624$	−58.5640	+	6.80849i	−2.34444	+	0.272558i
$625$	−1.00000			−0.0400000
$626$	4.33456	+	4.09071i	0.173244	+	0.163498i
$627$	19.8210	+	19.8210i	0.791573	+	0.791573i
$628$	19.1226	−	21.4746i	0.763076	−	0.856928i
$629$	14.3282	−	14.3282i	0.571304	−	0.571304i
$630$	−13.0839	+	22.4433i	−0.521275	+	0.894163i
$631$	−35.2003			−1.40130			−0.700651	−	0.713504i	$-0.747107\pi$
$631$	−35.2003			−1.40130			−0.700651	+	0.713504i	$0.747107\pi$
$632$	34.5669	+	29.0324i	1.37500	+	1.15485i
$633$	69.6251			2.76735
$634$	38.7647	−	1.12195i	1.53954	−	0.0445583i
$635$	−4.88658	−	4.88658i	−0.193918	−	0.193918i
$636$	−4.12288	−	71.1656i	−0.163483	−	2.82190i
$637$	10.5437	−	30.9755i	0.417755	−	1.22729i
$638$	−8.17555	+	8.66289i	−0.323673	+	0.342967i
$639$			6.67188i			0.263936i
$640$	2.27586	+	11.0824i	0.0899611	+	0.438072i
$641$	13.0780			0.516552			0.258276	−	0.966071i	$-0.416846\pi$
$641$	13.0780			0.516552			0.258276	+	0.966071i	$0.416846\pi$
$642$	24.6657	−	26.1360i	0.973478	−	1.03151i
$643$	−11.6771	+	11.6771i	−0.460501	+	0.460501i	−0.898820	−	0.438318i	$-0.855574\pi$
$643$	−11.6771	+	11.6771i	−0.460501	+	0.460501i	0.438318	+	0.898820i	$0.355574\pi$
$644$	−8.69876	+	15.9657i	−0.342779	+	0.629137i
$645$	−19.4302	−	19.4302i	−0.765064	−	0.765064i
$646$	−0.845663	−	29.2187i	−0.0332722	−	1.14959i
$647$			16.5293i			0.649832i	0.945743	+	0.324916i	$0.105336\pi$
$647$			16.5293i			0.649832i	−0.945743	+	0.324916i	$0.894664\pi$
$648$	−33.4296	+	39.8024i	−1.31324	+	1.56359i
$649$	−2.50928			−0.0984980
$650$	6.60783	−	0.191247i	0.259180	−	0.00750133i
$651$	0.539469	−	0.125549i	0.0211435	−	0.00492064i
$652$	−22.9895	+	25.8171i	−0.900339	+	1.01107i
$653$	−17.0206	+	17.0206i	−0.666067	+	0.666067i	−0.956803	−	0.290736i	$-0.906100\pi$
$653$	−17.0206	+	17.0206i	−0.666067	+	0.666067i	0.290736	+	0.956803i	$0.406100\pi$
$654$	47.2945	−	50.1137i	1.84936	−	1.95960i
$655$			10.1794i			0.397744i
$656$	−26.8321	+	3.11943i	−1.04762	+	0.121793i
$657$			1.69298i			0.0660495i
$658$	−11.0790	−	42.0547i	−0.431906	−	1.63946i
$659$	−15.3158	−	15.3158i	−0.596617	−	0.596617i	0.342794	−	0.939411i	$-0.388627\pi$
$659$	−15.3158	−	15.3158i	−0.596617	−	0.596617i	−0.939411	+	0.342794i	$0.888627\pi$
$660$	−5.66924	+	6.36652i	−0.220675	+	0.247816i
$661$	−18.6984	+	18.6984i	−0.727282	+	0.727282i	−0.970078	−	0.242795i	$-0.921936\pi$
$661$	−18.6984	+	18.6984i	−0.727282	+	0.727282i	0.242795	+	0.970078i	$0.421936\pi$
$662$	10.9829	−	0.317872i	0.426861	−	0.0123544i
$663$			46.3266i			1.79918i
$664$	2.56305	+	29.4529i	0.0994656	+	1.14299i
$665$	9.19421	−	14.7717i	0.356536	−	0.572822i
$666$	63.2775	−	1.83141i	2.45195	−	0.0709657i
$667$	15.1390	−	15.1390i	0.586184	−	0.586184i
$668$	17.2523	−	0.999486i	0.667511	−	0.0386713i
$669$	−33.9348	+	33.9348i	−1.31199	+	1.31199i
$670$	−3.56126	−	3.36091i	−0.137583	−	0.129843i
$671$	−5.88508			−0.227191
$672$	−43.2434	−	18.9014i	−1.66815	−	0.729138i
$673$	32.5495			1.25469			0.627345	−	0.778741i	$-0.284142\pi$
$673$	32.5495			1.25469			0.627345	+	0.778741i	$0.284142\pi$
$674$	−5.01986	−	4.73746i	−0.193358	−	0.182480i
$675$	8.79189	−	8.79189i	0.338400	−	0.338400i
$676$	−17.6703	+	1.02370i	−0.679628	+	0.0393733i
$677$	10.5930	−	10.5930i	0.407122	−	0.407122i	−0.473612	−	0.880734i	$-0.657050\pi$
$677$	10.5930	−	10.5930i	0.407122	−	0.407122i	0.880734	+	0.473612i	$0.157050\pi$
$678$	−17.8277	+	0.515978i	−0.684668	+	0.0198160i
$679$	19.5271	−	31.3728i	0.749381	−	1.20398i
$680$	8.85627	−	0.770690i	0.339623	−	0.0295546i
$681$			85.1773i			3.26400i
$682$	0.126864	−	0.00367177i	0.00485788	−	0.000140599i
$683$	1.36646	−	1.36646i	0.0522861	−	0.0522861i	−0.680480	−	0.732766i	$-0.738229\pi$
$683$	1.36646	−	1.36646i	0.0522861	−	0.0522861i	0.732766	+	0.680480i	$0.238229\pi$
$684$	60.7303	−	68.1996i	2.32208	−	2.60768i
$685$	−10.2783	−	10.2783i	−0.392712	−	0.392712i
$686$	19.7788	−	17.1697i	0.755157	−	0.655544i
$687$			15.1893i			0.579510i
$688$	21.6365	−	27.3291i	0.824885	−	1.04191i
$689$		−	52.8363i		−	2.01290i
$690$	10.5167	−	11.1436i	0.400362	−	0.424228i
$691$	28.0429	−	28.0429i	1.06680	−	1.06680i	0.0692002	−	0.997603i	$-0.477955\pi$
$691$	28.0429	−	28.0429i	1.06680	−	1.06680i	0.997603	−	0.0692002i	$-0.0220447\pi$
$692$	16.3720	−	18.3856i	0.622371	−	0.698918i
$693$	−5.62845	−	24.1849i	−0.213807	−	0.918707i
$694$	45.3672	−	1.31304i	1.72211	−	0.0498423i
$695$	5.09161			0.193136
$696$	42.5548	+	35.7413i	1.61304	+	1.35477i
$697$			21.2254i			0.803968i
$698$	−0.542143	−	18.7317i	−0.0205204	−	0.709006i
$699$	45.8982	+	45.8982i	1.73603	+	1.73603i
$700$	4.64659	+	2.53165i	0.175624	+	0.0956873i
$701$	4.56918	−	4.56918i	0.172575	−	0.172575i	−0.615534	−	0.788110i	$-0.711060\pi$
$701$	4.56918	−	4.56918i	0.172575	−	0.172575i	0.788110	+	0.615534i	$0.211060\pi$
$702$	−56.4138	+	59.7767i	−2.12920	+	2.25613i
$703$	−42.3982			−1.59908
$704$	−8.85254	−	6.21085i	−0.333643	−	0.234080i
$705$			36.6507i			1.38035i
$706$	−3.92482	+	4.15878i	−0.147713	+	0.156518i
$707$	21.1708	−	4.92699i	0.796208	−	0.185299i
$708$	0.677091	+	11.6874i	0.0254467	+	0.439239i
$709$	−17.9779	−	17.9779i	−0.675174	−	0.675174i	0.283730	−	0.958904i	$-0.408428\pi$
$709$	−17.9779	−	17.9779i	−0.675174	−	0.675174i	−0.958904	+	0.283730i	$0.908428\pi$
$710$	1.35840	−	0.0393156i	0.0509800	−	0.00147549i
$711$	110.811			4.15574
$712$	5.55057	−	6.60870i	0.208017	−	0.247671i
$713$	−0.228121			−0.00854318
$714$	−18.6762	+	32.0361i	−0.698941	+	1.19892i
$715$	−4.46793	+	4.46793i	−0.167091	+	0.167091i
$716$	11.7672	−	13.2145i	0.439761	−	0.493848i
$717$	10.4151	+	10.4151i	0.388959	+	0.388959i
$718$	16.5947	+	15.6612i	0.619309	+	0.584469i
$719$	−12.4864			−0.465665			−0.232833	−	0.972517i	$-0.574799\pi$
$719$	−12.4864			−0.465665			−0.232833	+	0.972517i	$0.574799\pi$
$720$	21.7744	+	17.2388i	0.811485	+	0.642454i
$721$	5.80337	−	9.32388i	0.216129	−	0.347240i
$722$	−23.5364	+	24.9395i	−0.875936	+	0.928151i
$723$	−27.7128	−	27.7128i	−1.03065	−	1.03065i
$724$	−16.2667	−	14.4851i	−0.604548	−	0.538336i
$725$	−4.40599	−	4.40599i	−0.163634	−	0.163634i
$726$	1.18340	+	40.8879i	0.0439200	+	1.51749i
$727$		−	37.5294i		−	1.39189i	−0.718095	−	0.695945i	$-0.754986\pi$
$727$		−	37.5294i		−	1.39189i	0.718095	−	0.695945i	$-0.245014\pi$
$728$	−31.1880	−	15.8400i	−1.15590	−	0.587071i
$729$			9.97514i			0.369450i
$730$	0.344693	−	0.00997628i	0.0127577	−	0.000369239i
$731$	−19.3669	−	19.3669i	−0.716312	−	0.716312i
$732$	1.58800	+	27.4107i	0.0586941	+	1.01313i
$733$	−7.07428	−	7.07428i	−0.261294	−	0.261294i	0.564285	−	0.825580i	$-0.309152\pi$
$733$	−7.07428	−	7.07428i	−0.261294	−	0.261294i	−0.825580	+	0.564285i	$0.809152\pi$
$734$	3.36733	+	3.17790i	0.124291	+	0.117298i
$735$	−19.8047	+	9.74601i	−0.730508	+	0.359487i
$736$	15.5819	+	11.6190i	0.574356	+	0.428282i
$737$	4.68047			0.172407
$738$	−45.5121	+	48.2250i	−1.67532	+	1.77519i
$739$	2.68098	+	2.68098i	0.0986216	+	0.0986216i	0.754696	−	0.656075i	$-0.227784\pi$
$739$	2.68098	+	2.68098i	0.0986216	+	0.0986216i	−0.656075	+	0.754696i	$0.727784\pi$
$740$	−0.745755	−	12.8726i	−0.0274145	−	0.473206i
$741$	68.5417	−	68.5417i	2.51794	−	2.51794i
$742$	21.3006	−	36.5377i	0.781970	−	1.34134i
$743$	5.01146			0.183853			0.0919263	−	0.995766i	$-0.470698\pi$
$743$	5.01146			0.183853			0.0919263	+	0.995766i	$0.470698\pi$
$744$	−0.0513342	−	0.589899i	−0.00188200	−	0.0216267i
$745$	8.90837			0.326377
$746$	0.629218	+	21.7403i	0.0230373	+	0.795968i
$747$	51.3167	+	51.3167i	1.87758	+	1.87758i
$748$	−5.65078	+	6.34579i	−0.206613	+	0.232025i
$749$	20.7666	−	4.83293i	0.758795	−	0.176591i
$750$	−3.24317	−	3.06072i	−0.118424	−	0.111762i
$751$		−	8.65835i		−	0.315948i	−0.987443	−	0.157974i	$-0.949504\pi$
$751$		−	8.65835i		−	0.315948i	0.987443	−	0.157974i	$-0.0504962\pi$
$752$	−46.1813	+	5.36892i	−1.68406	+	0.195784i
$753$	−54.9943			−2.00410
$754$	29.9566	+	28.2714i	1.09096	+	1.02958i
$755$	1.01184	−	1.01184i	0.0368247	−	0.0368247i
$756$	−63.1102	+	18.5943i	−2.29530	+	0.676268i
$757$	11.5581	+	11.5581i	0.420085	+	0.420085i	0.885233	−	0.465148i	$-0.153999\pi$
$757$	11.5581	+	11.5581i	0.420085	+	0.420085i	−0.465148	+	0.885233i	$0.653999\pi$
$758$	27.6328	−	0.799764i	1.00367	−	0.0290487i
$759$			14.6457i			0.531605i
$760$	−14.2434	−	11.9629i	−0.516662	−	0.433939i
$761$	−18.6485			−0.676006			−0.338003	−	0.941145i	$-0.609751\pi$
$761$	−18.6485			−0.676006			−0.338003	+	0.941145i	$0.609751\pi$
$762$	−0.891559	−	30.8045i	−0.0322978	−	1.11593i
$763$	39.8182	−	9.26675i	1.44152	−	0.335479i
$764$	−28.2784	+	1.63827i	−1.02308	+	0.0592706i
$765$	15.4306	−	15.4306i	0.557893	−	0.557893i
$766$	−23.8853	−	22.5416i	−0.863011	−	0.814461i
$767$			8.67720i			0.313316i
$768$	−26.5393	+	42.9080i	−0.957653	+	1.54831i
$769$			46.3101i			1.66999i	0.550261	+	0.834993i	$0.314528\pi$
$769$			46.3101i			1.66999i	−0.550261	+	0.834993i	$0.685472\pi$
$770$	−4.89090	+	1.28848i	−0.176256	+	0.0464334i
$771$	26.4741	+	26.4741i	0.953441	+	0.953441i
$772$	−0.555420	−	9.58719i	−0.0199900	−	0.345051i
$773$	32.2511	−	32.2511i	1.15999	−	1.15999i	0.175516	−	0.984477i	$-0.443841\pi$
$773$	32.2511	−	32.2511i	1.15999	−	1.15999i	0.984477	−	0.175516i	$-0.0561594\pi$
$774$	−2.47545	−	85.5299i	−0.0889782	−	3.07431i
$775$			0.0663912i			0.00238484i
$776$	−30.2508	−	25.4073i	−1.08594	−	0.912069i
$777$	45.6637	+	28.4220i	1.63818	+	1.01963i
$778$	−0.501381	−	17.3233i	−0.0179754	−	0.621072i
$779$	31.4036	−	31.4036i	1.12515	−	1.12515i
$780$	22.0157	+	19.6045i	0.788287	+	0.701953i
$781$	−0.918494	+	0.918494i	−0.0328663	+	0.0328663i
$782$	10.4824	−	11.1073i	0.374850	−	0.397195i
$783$	77.4738			2.76869
$784$	−15.1815	−	23.5270i	−0.542197	−	0.840251i
$785$	−14.3773			−0.513149
$786$	−31.1564	+	33.0137i	−1.11131	+	1.17756i
$787$	−33.7807	+	33.7807i	−1.20415	+	1.20415i	−0.231260	+	0.972892i	$0.574285\pi$
$787$	−33.7807	+	33.7807i	−1.20415	+	1.20415i	−0.972892	+	0.231260i	$0.925715\pi$
$788$	−21.9325	+	24.6300i	−0.781313	+	0.877409i
$789$	11.0116	−	11.0116i	0.392025	−	0.392025i
$790$	−0.652981	−	22.5613i	−0.0232320	−	0.802695i
$791$	−8.98356	−	5.59155i	−0.319419	−	0.198813i
$792$	−26.4457	+	2.30136i	−0.939707	+	0.0817752i
$793$			20.3508i			0.722679i
$794$	−0.693725	−	23.9691i	−0.0246194	−	0.850631i
$795$	−25.2030	+	25.2030i	−0.893860	+	0.893860i
$796$	0.806020	−	0.0466956i	0.0285686	−	0.00165508i
$797$	6.69674	+	6.69674i	0.237211	+	0.237211i	0.815694	−	0.578483i	$-0.196355\pi$
$797$	6.69674	+	6.69674i	0.237211	+	0.237211i	−0.578483	+	0.815694i	$0.696355\pi$
$798$	75.0305	−	19.7663i	2.65605	−	0.699718i
$799$			36.5314i			1.29239i
$800$	3.38154	−	4.53489i	0.119556	−	0.160332i
$801$		−	21.1855i		−	0.748552i
$802$	26.8256	+	25.3165i	0.947245	+	0.893956i
$803$	−0.233066	+	0.233066i	−0.00822474	+	0.00822474i
$804$	−1.26295	−	21.8000i	−0.0445409	−	0.768828i
$805$	8.85420	−	2.06061i	0.312070	−	0.0726268i
$806$	−0.0126971	−	0.438701i	−0.000447237	−	0.0154526i
$807$	−46.6366			−1.64169
$808$	−2.01454	−	23.1498i	−0.0708714	−	0.814408i
$809$			19.5629i			0.687795i	0.939007	+	0.343897i	$0.111747\pi$
$809$			19.5629i			0.687795i	−0.939007	+	0.343897i	$0.888253\pi$
$810$	25.9784	−	0.751881i	0.912788	−	0.0264184i
$811$	−8.53489	−	8.53489i	−0.299701	−	0.299701i	0.541196	−	0.840897i	$-0.317972\pi$
$811$	−8.53489	−	8.53489i	−0.299701	−	0.299701i	−0.840897	+	0.541196i	$0.817972\pi$
$812$	9.31839	+	31.6272i	0.327011	+	1.10990i
$813$	2.89099	−	2.89099i	0.101391	−	0.101391i
$814$	8.96331	+	8.45906i	0.314164	+	0.296490i
$815$	17.2847			0.605455
$816$	31.0813	+	24.6071i	1.08806	+	0.861421i
$817$			57.3080i			2.00495i
$818$	27.8480	+	26.2813i	0.973682	+	0.918905i
$819$	−83.6322	+	19.4634i	−2.92235	+	0.680107i
$820$	10.0869	+	8.98214i	0.352249	+	0.313670i
$821$	−6.46183	−	6.46183i	−0.225519	−	0.225519i	0.585298	−	0.810818i	$-0.300977\pi$
$821$	−6.46183	−	6.46183i	−0.225519	−	0.225519i	−0.810818	+	0.585298i	$0.800977\pi$
$822$	−1.87527	−	64.7931i	−0.0654077	−	2.25992i
$823$	−38.8727			−1.35502			−0.677509	−	0.735515i	$-0.736940\pi$
$823$	−38.8727			−1.35502			−0.677509	+	0.735515i	$0.736940\pi$
$824$	−8.99042	−	7.55095i	−0.313196	−	0.263050i
$825$	4.26242			0.148398
$826$	−3.49815	+	6.00051i	−0.121716	+	0.208785i
$827$	−10.9590	+	10.9590i	−0.381080	+	0.381080i	−0.871491	−	0.490411i	$-0.836847\pi$
$827$	−10.9590	+	10.9590i	−0.381080	+	0.381080i	0.490411	+	0.871491i	$0.336847\pi$
$828$	47.6331	−	2.75956i	1.65537	−	0.0959012i
$829$	−37.3568	−	37.3568i	−1.29745	−	1.29745i	−0.930069	−	0.367385i	$-0.880253\pi$
$829$	−37.3568	−	37.3568i	−1.29745	−	1.29745i	−0.367385	−	0.930069i	$-0.619747\pi$
$830$	10.1458	−	10.7505i	0.352164	−	0.373157i
$831$	−13.1480			−0.456098
$832$	−21.4774	+	30.6124i	−0.744593	+	1.06130i
$833$	−19.7402	+	9.71428i	−0.683958	+	0.336580i
$834$	16.5130	+	15.5840i	0.571798	+	0.539630i
$835$	−6.10983	−	6.10983i	−0.211439	−	0.211439i
$836$	17.7493	−	1.02828i	0.613873	−	0.0355638i
$837$	−0.583704	−	0.583704i	−0.0201757	−	0.0201757i
$838$	12.5566	−	0.363420i	0.433761	−	0.0125541i
$839$			36.7143i			1.26752i	0.773530	+	0.633759i	$0.218489\pi$
$839$			36.7143i			1.26752i	−0.773530	+	0.633759i	$0.781511\pi$
$840$	7.32101	+	22.4325i	0.252599	+	0.773994i
$841$		−	9.82541i		−	0.338807i
$842$	−1.60889	−	55.5893i	−0.0554462	−	1.91573i
$843$	37.2747	+	37.2747i	1.28381	+	1.28381i
$844$	29.3680	−	32.9800i	1.01089	−	1.13522i
$845$	6.25788	+	6.25788i	0.215278	+	0.215278i
$846$	−78.3317	+	83.0010i	−2.69310	+	2.85363i
$847$	−12.8242	+	20.6038i	−0.440646	+	0.707956i
$848$	−35.4488	−	28.0649i	−1.21732	−	0.963751i
$849$	65.6631			2.25355
$850$	−3.23261	−	3.05076i	−0.110878	−	0.104640i
$851$	−15.6640	−	15.6640i	−0.536955	−	0.536955i
$852$	4.52587	+	4.03019i	0.155054	+	0.138072i
$853$	−21.8129	+	21.8129i	−0.746860	+	0.746860i	−0.973888	−	0.227028i	$-0.927099\pi$
$853$	−21.8129	+	21.8129i	−0.746860	+	0.746860i	0.227028	+	0.973888i	$0.427099\pi$
$854$	−8.20429	+	14.0731i	−0.280745	+	0.481573i
$855$	−45.6600			−1.56154
$856$	−1.97608	−	22.7079i	−0.0675412	−	0.776139i
$857$	53.3879			1.82370			0.911848	−	0.410529i	$-0.134656\pi$
$857$	53.3879			1.82370			0.911848	+	0.410529i	$0.134656\pi$
$858$	−28.1653	+	0.815176i	−0.961549	+	0.0278296i
$859$	−3.54283	−	3.54283i	−0.120880	−	0.120880i	0.644079	−	0.764959i	$-0.277241\pi$
$859$	−3.54283	−	3.54283i	−0.120880	−	0.120880i	−0.764959	+	0.644079i	$0.777241\pi$
$860$	−17.3994	+	1.00801i	−0.593315	+	0.0343728i
$861$	−54.8740	+	12.7706i	−1.87010	+	0.435222i
$862$	−2.63176	+	2.78864i	−0.0896382	+	0.0949815i
$863$		−	18.7078i		−	0.636820i	−0.947953	−	0.318410i	$-0.896851\pi$
$863$		−	18.7078i		−	0.636820i	0.947953	−	0.318410i	$-0.103149\pi$
$864$	10.1401	+	69.6003i	0.344972	+	2.36785i
$865$	−12.3093			−0.418529
$866$	10.8954	−	11.5449i	0.370242	−	0.392312i
$867$	−15.8789	+	15.8789i	−0.539276	+	0.539276i
$868$	0.168079	−	0.308492i	0.00570497	−	0.0104709i
$869$	15.2550	+	15.2550i	0.517490	+	0.517490i
$870$	−0.803874	−	27.7749i	−0.0272539	−	0.941656i
$871$		−	16.1852i		−	0.548416i
$872$	−3.78898	−	43.5405i	−0.128311	−	1.47447i
$873$	−96.9749			−3.28210
$874$	−31.9426	+	0.924500i	−1.08048	+	0.0312717i
$875$	−0.599709	−	2.57689i	−0.0202739	−	0.0871147i
$876$	1.14843	+	1.02265i	0.0388020	+	0.0345523i
$877$	1.04723	−	1.04723i	0.0353625	−	0.0353625i	−0.689204	−	0.724567i	$-0.742040\pi$
$877$	1.04723	−	1.04723i	0.0353625	−	0.0353625i	0.724567	+	0.689204i	$0.242040\pi$
$878$	9.51159	−	10.0786i	0.321000	−	0.340135i
$879$		−	12.7166i		−	0.428920i
$880$	0.624397	+	5.37082i	0.0210484	+	0.181050i
$881$			9.61362i			0.323891i	0.986800	+	0.161945i	$0.0517769\pi$
$881$			9.61362i			0.323891i	−0.986800	+	0.161945i	$0.948223\pi$
$882$	−65.6804	−	20.2563i	−2.21157	−	0.682064i
$883$	−3.89869	−	3.89869i	−0.131201	−	0.131201i	0.638456	−	0.769658i	$-0.279573\pi$
$883$	−3.89869	−	3.89869i	−0.131201	−	0.131201i	−0.769658	+	0.638456i	$0.779573\pi$
$884$	21.9440	+	19.5406i	0.738056	+	0.657223i
$885$	4.13904	−	4.13904i	0.139132	−	0.139132i
$886$	11.5023	−	0.332905i	0.386426	−	0.0111841i
$887$			24.5835i			0.825433i	0.910860	+	0.412716i	$0.135420\pi$
$887$			24.5835i			0.825433i	−0.910860	+	0.412716i	$0.864580\pi$
$888$	36.9808	−	44.0306i	1.24099	−	1.47757i
$889$	9.66164	−	15.5227i	0.324041	−	0.520615i
$890$	−4.31339	+	0.124840i	−0.144585	+	0.00418466i
$891$	−17.5655	+	17.5655i	−0.588466	+	0.588466i
$892$	1.76048	+	30.3880i	0.0589454	+	1.01747i
$893$	54.0493	−	54.0493i	1.80869	−	1.80869i
$894$	28.8914	+	27.2660i	0.966272	+	0.911913i
$895$	−8.84717			−0.295728
$896$	−27.1933	+	12.5109i	−0.908466	+	0.417959i
$897$	50.6454			1.69100
$898$	20.3511	+	19.2062i	0.679124	+	0.640919i
$899$	−0.292519	+	0.292519i	−0.00975604	+	0.00975604i
$900$	−0.803129	−	13.8629i	−0.0267710	−	0.462098i
$901$	−25.1210	+	25.1210i	−0.836901	+	0.836901i
$902$	−12.9045	+	0.373487i	−0.429671	+	0.0124358i
$903$	38.4170	−	61.7219i	1.27844	−	2.05398i
$904$	−7.27534	+	8.66226i	−0.241974	+	0.288103i
$905$			10.8907i			0.362018i
$906$	6.37854	−	0.184611i	0.211913	−	0.00613329i
$907$	20.3936	−	20.3936i	0.677158	−	0.677158i	−0.282198	−	0.959356i	$-0.591063\pi$
$907$	20.3936	−	20.3936i	0.677158	−	0.677158i	0.959356	+	0.282198i	$0.0910634\pi$
$908$	40.3468	+	35.9279i	1.33895	+	1.19231i
$909$	−40.3347	−	40.3347i	−1.33782	−	1.33782i
$910$	4.45560	+	16.9129i	0.147702	+	0.560658i
$911$			11.5198i			0.381669i	0.981622	+	0.190834i	$0.0611194\pi$
$911$			11.5198i			0.381669i	−0.981622	+	0.190834i	$0.938881\pi$
$912$	−9.57876	−	82.3927i	−0.317184	−	2.72830i
$913$			14.1292i			0.467608i
$914$	−17.6794	+	18.7333i	−0.584783	+	0.619642i
$915$	9.70738	−	9.70738i	0.320916	−	0.320916i
$916$	7.19489	+	6.40689i	0.237726	+	0.211690i
$917$	−26.2313	+	6.10470i	−0.866233	+	0.201595i
$918$	55.2426	−	1.59886i	1.82328	−	0.0527703i
$919$	−9.68188			−0.319376			−0.159688	−	0.987168i	$-0.551049\pi$
$919$	−9.68188			−0.319376			−0.159688	+	0.987168i	$0.551049\pi$
$920$	−0.842539	−	9.68190i	−0.0277777	−	0.319203i
$921$			33.2358i			1.09516i
$922$	−0.193589	−	6.68873i	−0.00637551	−	0.220282i
$923$	3.17619	+	3.17619i	0.104546	+	0.104546i
$924$	−19.8057	−	10.7909i	−0.651560	−	0.354996i
$925$	−4.55878	+	4.55878i	−0.149892	+	0.149892i
$926$	21.1931	−	22.4565i	0.696450	−	0.737965i
$927$	−28.8206			−0.946591
$928$	34.8797	−	5.08162i	1.14498	−	0.166812i
$929$		−	3.49605i		−	0.114702i	−0.998354	−	0.0573508i	$-0.981735\pi$
$929$		−	3.49605i		−	0.114702i	0.998354	−	0.0573508i	$-0.0182654\pi$
$930$	−0.203205	+	0.215318i	−0.00666335	+	0.00706055i
$931$	43.5789	+	14.8337i	1.42824	+	0.486155i
$932$	41.1010	−	2.38113i	1.34631	−	0.0779964i
$933$	10.9762	+	10.9762i	0.359344	+	0.359344i
$934$	21.9845	−	0.636286i	0.719354	−	0.0208199i
$935$	4.24854			0.138942
$936$	7.95818	+	91.4502i	0.260121	+	2.98914i
$937$	−30.2407			−0.987920			−0.493960	−	0.869485i	$-0.664451\pi$
$937$	−30.2407			−0.987920			−0.493960	+	0.869485i	$0.664451\pi$
$938$	6.52497	−	11.1925i	0.213048	−	0.365449i
$939$	9.39683	−	9.39683i	0.306654	−	0.306654i
$940$	17.3607	+	15.4593i	0.566244	+	0.504228i
$941$	−14.4465	−	14.4465i	−0.470944	−	0.470944i	0.431276	−	0.902220i	$-0.358063\pi$
$941$	−14.4465	−	14.4465i	−0.470944	−	0.470944i	−0.902220	+	0.431276i	$0.858063\pi$
$942$	−46.6282	−	44.0050i	−1.51923	−	1.43376i
$943$	23.2041			0.755630
$944$	5.82168	+	4.60903i	0.189479	+	0.150011i
$945$	27.9283	+	17.3831i	0.908507	+	0.565473i
$946$	11.4338	−	12.1154i	0.371745	−	0.393905i
$947$	5.35745	+	5.35745i	0.174094	+	0.174094i	0.788775	−	0.614682i	$-0.210716\pi$
$947$	5.35745	+	5.35745i	0.174094	+	0.174094i	−0.614682	+	0.788775i	$0.710716\pi$
$948$	66.9361	−	75.1687i	2.17398	−	2.44137i
$949$	0.805953	+	0.805953i	0.0261623	+	0.0261623i
$950$	0.269062	+	9.29644i	0.00872954	+	0.301616i
$951$		−	86.4698i		−	2.80397i
$952$	7.29717	+	22.3594i	0.236503	+	0.724673i
$953$			2.53969i			0.0822685i	0.999154	+	0.0411343i	$0.0130971\pi$
$953$			2.53969i			0.0822685i	−0.999154	+	0.0411343i	$0.986903\pi$
$954$	−110.941	+	3.21092i	−3.59186	+	0.103957i
$955$	10.0147	+	10.0147i	0.324068	+	0.324068i
$956$	9.32654	−	0.540320i	0.301642	−	0.0174752i
$957$	18.7802	+	18.7802i	0.607076	+	0.607076i
$958$	−18.4723	−	17.4331i	−0.596814	−	0.563239i
$959$	20.3220	−	32.6499i	0.656230	−	1.05432i
$960$	24.8469	−	4.35746i	0.801931	−	0.140636i
$961$	−30.9956			−0.999858
$962$	29.2518	−	30.9955i	0.943115	−	0.999334i
$963$	−39.5647	−	39.5647i	−1.27495	−	1.27495i
$964$	−24.8163	+	1.43769i	−0.799278	+	0.0463050i
$965$	−3.39527	+	3.39527i	−0.109298	+	0.109298i
$966$	35.0226	+	20.4173i	1.12683	+	0.656917i
$967$	49.5614			1.59379			0.796893	−	0.604120i	$-0.206475\pi$
$967$	49.5614			1.59379			0.796893	+	0.604120i	$0.206475\pi$
$968$	19.8669	+	16.6860i	0.638548	+	0.536309i
$969$	−65.1761			−2.09376
$970$	0.571447	+	19.7442i	0.0183481	+	0.633948i
$971$	2.93509	+	2.93509i	0.0941917	+	0.0941917i	0.752632	−	0.658441i	$-0.228784\pi$
$971$	2.93509	+	2.93509i	0.0941917	+	0.0941917i	−0.658441	+	0.752632i	$0.728784\pi$
$972$	30.8398	+	27.4621i	0.989186	+	0.880848i
$973$	3.05349	+	13.1205i	0.0978904	+	0.420624i
$974$	24.8164	+	23.4203i	0.795170	+	0.750436i
$975$		−	14.7396i		−	0.472045i
$976$	13.6537	+	10.8097i	0.437044	+	0.346009i
$977$	−38.9183			−1.24511			−0.622554	−	0.782577i	$-0.713905\pi$
$977$	−38.9183			−1.24511			−0.622554	+	0.782577i	$0.713905\pi$
$978$	56.0571	+	52.9035i	1.79251	+	1.69167i
$979$	2.91653	−	2.91653i	0.0932127	−	0.0932127i
$980$	−3.73717	+	13.4920i	−0.119379	+	0.430986i
$981$	−75.8620	−	75.8620i	−2.42209	−	2.42209i
$982$	−49.8826	+	1.44373i	−1.59182	+	0.0460712i
$983$		−	32.8124i		−	1.04655i	−0.852163	−	0.523276i	$-0.824710\pi$
$983$		−	32.8124i		−	1.04655i	0.852163	−	0.523276i	$-0.175290\pi$
$984$	5.22164	+	60.0037i	0.166460	+	1.91285i
$985$	16.4900			0.525414
$986$	−0.801257	−	27.6844i	−0.0255172	−	0.881652i
$987$	−94.4447	+	21.9798i	−3.00621	+	0.699624i
$988$	−3.55583	−	61.3778i	−0.113126	−	1.95269i
$989$	−21.1724	+	21.1724i	−0.673244	+	0.673244i
$990$	9.65289	+	9.10985i	0.306789	+	0.289530i
$991$		−	3.65191i		−	0.116007i	−0.998316	−	0.0580034i	$-0.981527\pi$
$991$		−	3.65191i		−	0.116007i	0.998316	−	0.0580034i	$-0.0184734\pi$
$992$	−0.301076	−	0.224504i	−0.00955918	−	0.00712802i
$993$		−	24.4987i		−	0.777443i
$994$	0.915960	+	3.47688i	0.0290525	+	0.110280i
$995$	−0.285449	−	0.285449i	−0.00904934	−	0.00904934i
$996$	65.8089	−	3.81254i	2.08523	−	0.120805i
$997$	−22.6090	+	22.6090i	−0.716034	+	0.716034i	−0.967790	−	0.251757i	$-0.918992\pi$
$997$	−22.6090	+	22.6090i	−0.716034	+	0.716034i	0.251757	+	0.967790i	$0.418992\pi$
$998$	1.36603	+	47.1980i	0.0432408	+	1.49403i
$999$		−	80.1606i		−	2.53617i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	560.2.bc.a.251.17	✓	128
7.6	odd	2	inner	560.2.bc.a.251.18	yes	128
16.3	odd	4	inner	560.2.bc.a.531.18	yes	128
112.83	even	4	inner	560.2.bc.a.531.17	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
560.2.bc.a.251.17	✓	128	1.1	even	1	trivial
560.2.bc.a.251.18	yes	128	7.6	odd	2	inner
560.2.bc.a.531.17	yes	128	112.83	even	4	inner
560.2.bc.a.531.18	yes	128	16.3	odd	4	inner

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:	\( N \)	\(=\)	\( 560 = 2^{4} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	560.bc (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.02851 - 0.970651i) q^{2} +(-2.22970 + 2.22970i) q^{3} +(0.115673 + 1.99665i) q^{4} +(0.707107 - 0.707107i) q^{5} +(4.45753 - 0.129012i) q^{6} +(2.24619 + 1.39808i) q^{7} +(1.81908 - 2.16586i) q^{8} -6.94309i q^{9} +O(q^{10})\)	\(q+(-1.02851 - 0.970651i) q^{2} +(-2.22970 + 2.22970i) q^{3} +(0.115673 + 1.99665i) q^{4} +(0.707107 - 0.707107i) q^{5} +(4.45753 - 0.129012i) q^{6} +(2.24619 + 1.39808i) q^{7} +(1.81908 - 2.16586i) q^{8} -6.94309i q^{9} +(-1.41362 + 0.0409138i) q^{10} +(0.955830 - 0.955830i) q^{11} +(-4.70984 - 4.19401i) q^{12} +(-3.30530 - 3.30530i) q^{13} +(-0.953192 - 3.61821i) q^{14} +3.15327i q^{15} +(-3.97324 + 0.461918i) q^{16} +3.14300i q^{17} +(-6.73932 + 7.14105i) q^{18} +(4.65017 - 4.65017i) q^{19} +(1.49364 + 1.33005i) q^{20} +(-8.12561 + 1.89104i) q^{21} +(-1.91086 + 0.0553051i) q^{22} +3.43601 q^{23} +(0.773208 + 8.88520i) q^{24} -1.00000i q^{25} +(0.191247 + 6.60783i) q^{26} +(8.79189 + 8.79189i) q^{27} +(-2.53165 + 4.64659i) q^{28} +(4.40599 - 4.40599i) q^{29} +(3.06072 - 3.24317i) q^{30} -0.0663912 q^{31} +(4.53489 + 3.38154i) q^{32} +4.26242i q^{33} +(3.05076 - 3.23261i) q^{34} +(2.57689 - 0.599709i) q^{35} +(13.8629 - 0.803129i) q^{36} +(-4.55878 - 4.55878i) q^{37} +(-9.29644 + 0.269062i) q^{38} +14.7396 q^{39} +(-0.245209 - 2.81778i) q^{40} +6.75322 q^{41} +(10.1928 + 5.94217i) q^{42} +(-6.16193 + 6.16193i) q^{43} +(2.01902 + 1.79790i) q^{44} +(-4.90950 - 4.90950i) q^{45} +(-3.53397 - 3.33516i) q^{46} +11.6231 q^{47} +(7.82918 - 9.88905i) q^{48} +(3.09077 + 6.28070i) q^{49} +(-0.970651 + 1.02851i) q^{50} +(-7.00793 - 7.00793i) q^{51} +(6.21719 - 6.98186i) q^{52} +(7.99268 + 7.99268i) q^{53} +(-0.508706 - 17.5764i) q^{54} -1.35175i q^{55} +(7.11404 - 2.32172i) q^{56} +20.7369i q^{57} +(-8.80828 + 0.254934i) q^{58} +(-1.31262 - 1.31262i) q^{59} +(-6.29598 + 0.364748i) q^{60} +(-3.07852 - 3.07852i) q^{61} +(0.0682841 + 0.0644427i) q^{62} +(9.70696 - 15.5955i) q^{63} +(-1.38189 - 7.87975i) q^{64} -4.67440 q^{65} +(4.13732 - 4.38395i) q^{66} +(2.44838 + 2.44838i) q^{67} +(-6.27548 + 0.363561i) q^{68} +(-7.66125 + 7.66125i) q^{69} +(-3.23247 - 1.88445i) q^{70} -0.960939 q^{71} +(-15.0377 - 12.6300i) q^{72} -0.243837 q^{73} +(0.263775 + 9.11374i) q^{74} +(2.22970 + 2.22970i) q^{75} +(9.82266 + 8.74687i) q^{76} +(3.48330 - 0.810656i) q^{77} +(-15.1599 - 14.3070i) q^{78} +15.9599i q^{79} +(-2.48288 + 3.13613i) q^{80} -18.3772 q^{81} +(-6.94576 - 6.55502i) q^{82} +(-7.39105 + 7.39105i) q^{83} +(-4.71567 - 16.0053i) q^{84} +(2.22244 + 2.22244i) q^{85} +(12.3187 - 0.356534i) q^{86} +19.6480i q^{87} +(-0.331460 - 3.80892i) q^{88} +3.05131 q^{89} +(0.284068 + 9.81490i) q^{90} +(-2.80328 - 12.0454i) q^{91} +(0.397454 + 6.86051i) q^{92} +(0.148032 - 0.148032i) q^{93} +(-11.9545 - 11.2820i) q^{94} -6.57633i q^{95} +(-17.6512 + 2.57161i) q^{96} -13.9671i q^{97} +(2.91747 - 9.45983i) q^{98} +(-6.63641 - 6.63641i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 4 q^{4}+O(q^{10}) \) 128 * q - 4 * q^4	\( 128 q - 4 q^{4} + 8 q^{11} - 8 q^{14} + 20 q^{16} + 20 q^{18} - 52 q^{22} - 16 q^{23} + 44 q^{28} + 16 q^{29} + 40 q^{32} + 16 q^{37} + 60 q^{42} - 8 q^{43} - 108 q^{44} - 40 q^{46} - 4 q^{50} + 80 q^{51} + 16 q^{53} + 12 q^{56} - 76 q^{58} - 56 q^{60} - 52 q^{64} + 40 q^{67} - 8 q^{70} - 64 q^{71} - 36 q^{72} + 60 q^{74} - 48 q^{78} - 128 q^{81} - 32 q^{84} + 76 q^{86} + 20 q^{88} - 32 q^{91} + 64 q^{92} - 76 q^{98} - 40 q^{99}+O(q^{100}) \) 128 * q - 4 * q^4 + 8 * q^11 - 8 * q^14 + 20 * q^16 + 20 * q^18 - 52 * q^22 - 16 * q^23 + 44 * q^28 + 16 * q^29 + 40 * q^32 + 16 * q^37 + 60 * q^42 - 8 * q^43 - 108 * q^44 - 40 * q^46 - 4 * q^50 + 80 * q^51 + 16 * q^53 + 12 * q^56 - 76 * q^58 - 56 * q^60 - 52 * q^64 + 40 * q^67 - 8 * q^70 - 64 * q^71 - 36 * q^72 + 60 * q^74 - 48 * q^78 - 128 * q^81 - 32 * q^84 + 76 * q^86 + 20 * q^88 - 32 * q^91 + 64 * q^92 - 76 * q^98 - 40 * q^99

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