LMFDB - Embedded newform 260.2.p.d.207.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(103,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(4))

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

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

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

chi := DirichletCharacter("260.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.p (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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$32$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			207.8
Character	$\chi$	$=$	260.207
Dual form			260.2.p.d.103.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.10269 - 0.885485i) q^{2} +(-1.59124 - 1.59124i) q^{3} +(0.431834 + 1.95282i) q^{4} +(-0.349775 - 2.20854i) q^{5} +(0.345619 + 3.16365i) q^{6} +(-1.15539 - 1.15539i) q^{7} +(1.25302 - 2.53573i) q^{8} +2.06407i q^{9} +O(q^{10})$	\(q+(-1.10269 - 0.885485i) q^{2} +(-1.59124 - 1.59124i) q^{3} +(0.431834 + 1.95282i) q^{4} +(-0.349775 - 2.20854i) q^{5} +(0.345619 + 3.16365i) q^{6} +(-1.15539 - 1.15539i) q^{7} +(1.25302 - 2.53573i) q^{8} +2.06407i q^{9} +(-1.56994 + 2.74505i) q^{10} -1.00150 q^{11} +(2.42026 - 3.79455i) q^{12} +(-3.36895 - 1.28460i) q^{13} +(0.250952 + 2.29711i) q^{14} +(-2.95774 + 4.07089i) q^{15} +(-3.62704 + 1.68659i) q^{16} +(3.12166 + 3.12166i) q^{17} +(1.82770 - 2.27602i) q^{18} +5.00790i q^{19} +(4.16185 - 1.63677i) q^{20} +3.67700i q^{21} +(1.10434 + 0.886815i) q^{22} +(1.24973 + 1.24973i) q^{23} +(-6.02880 + 2.04110i) q^{24} +(-4.75531 + 1.54499i) q^{25} +(2.57740 + 4.39966i) q^{26} +(-1.48928 + 1.48928i) q^{27} +(1.75734 - 2.75521i) q^{28} -8.31301i q^{29} +(6.86617 - 1.86988i) q^{30} +0.288879 q^{31} +(5.49294 + 1.35191i) q^{32} +(1.59363 + 1.59363i) q^{33} +(-0.678029 - 6.20640i) q^{34} +(-2.14760 + 2.95585i) q^{35} +(-4.03077 + 0.891335i) q^{36} +(-3.74705 + 3.74705i) q^{37} +(4.43442 - 5.52214i) q^{38} +(3.31670 + 7.40489i) q^{39} +(-6.03855 - 1.88041i) q^{40} +5.64607i q^{41} +(3.25593 - 4.05458i) q^{42} +(-7.56234 - 7.56234i) q^{43} +(-0.432483 - 1.95576i) q^{44} +(4.55859 - 0.721961i) q^{45} +(-0.271444 - 2.48468i) q^{46} +(-3.67990 - 3.67990i) q^{47} +(8.45524 + 3.08772i) q^{48} -4.33015i q^{49} +(6.61168 + 2.50712i) q^{50} -9.93461i q^{51} +(1.05376 - 7.13369i) q^{52} +(5.06483 - 5.06483i) q^{53} +(2.96095 - 0.323475i) q^{54} +(0.350301 + 2.21186i) q^{55} +(-4.37749 + 1.48204i) q^{56} +(7.96876 - 7.96876i) q^{57} +(-7.36105 + 9.16664i) q^{58} -13.0878i q^{59} +(-9.22698 - 4.01800i) q^{60} -7.36625 q^{61} +(-0.318543 - 0.255798i) q^{62} +(2.38481 - 2.38481i) q^{63} +(-4.85989 - 6.35464i) q^{64} +(-1.65871 + 7.88978i) q^{65} +(-0.346138 - 3.16841i) q^{66} +(4.73121 + 4.73121i) q^{67} +(-4.74802 + 7.44409i) q^{68} -3.97725i q^{69} +(4.98549 - 1.35771i) q^{70} -4.14895 q^{71} +(5.23393 + 2.58632i) q^{72} +(-6.49166 - 6.49166i) q^{73} +(7.44977 - 0.813864i) q^{74} +(10.0253 + 5.10839i) q^{75} +(-9.77955 + 2.16258i) q^{76} +(1.15713 + 1.15713i) q^{77} +(2.89964 - 11.1022i) q^{78} +13.9090 q^{79} +(4.99355 + 7.42054i) q^{80} +10.9318 q^{81} +(4.99951 - 6.22585i) q^{82} +(1.78063 - 1.78063i) q^{83} +(-7.18053 + 1.58785i) q^{84} +(5.80244 - 7.98620i) q^{85} +(1.64255 + 15.0352i) q^{86} +(-13.2280 + 13.2280i) q^{87} +(-1.25490 + 2.53954i) q^{88} -12.4897 q^{89} +(-5.66598 - 3.24046i) q^{90} +(2.40824 + 5.37666i) q^{91} +(-1.90083 + 2.98019i) q^{92} +(-0.459675 - 0.459675i) q^{93} +(0.799279 + 7.31627i) q^{94} +(11.0602 - 1.75164i) q^{95} +(-6.58935 - 10.8918i) q^{96} +(-2.03795 + 2.03795i) q^{97} +(-3.83428 + 4.77479i) q^{98} -2.06717i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q+O(q^{10}) $ 64 * q	$ 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) $ 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−1.10269	−	0.885485i	−0.779717	−	0.626132i
$2$	−1.10269	−	0.885485i	−0.779717	−	0.626132i
$3$	−1.59124	−	1.59124i	−0.918701	−	0.918701i	0.0782339	−	0.996935i	$-0.475072\pi$
$3$	−1.59124	−	1.59124i	−0.918701	−	0.918701i	−0.996935	+	0.0782339i	$0.975072\pi$
$4$	0.431834	+	1.95282i	0.215917	+	0.976412i
$5$	−0.349775	−	2.20854i	−0.156424	−	0.987690i
$5$	−0.349775	−	2.20854i	−0.156424	−	0.987690i
$6$	0.345619	+	3.16365i	0.141098	+	1.29156i
$7$	−1.15539	−	1.15539i	−0.436696	−	0.436696i	0.454202	−	0.890899i	$-0.349924\pi$
$7$	−1.15539	−	1.15539i	−0.436696	−	0.436696i	−0.890899	+	0.454202i	$0.849924\pi$
$8$	1.25302	−	2.53573i	0.443009	−	0.896517i
$9$			2.06407i			0.688024i
$10$	−1.56994	+	2.74505i	−0.496458	+	0.868061i
$11$	−1.00150			−0.301964			−0.150982	−	0.988536i	$-0.548244\pi$
$11$	−1.00150			−0.301964			−0.150982	+	0.988536i	$0.548244\pi$
$12$	2.42026	−	3.79455i	0.698668	−	1.09539i
$13$	−3.36895	−	1.28460i	−0.934378	−	0.356283i
$13$	−3.36895	−	1.28460i	−0.934378	−	0.356283i
$14$	0.250952	+	2.29711i	0.0670698	+	0.613929i
$15$	−2.95774	+	4.07089i	−0.763685	+	1.05110i
$16$	−3.62704	+	1.68659i	−0.906760	+	0.421647i
$17$	3.12166	+	3.12166i	0.757114	+	0.757114i	0.975796	−	0.218682i	$-0.0701758\pi$
$17$	3.12166	+	3.12166i	0.757114	+	0.757114i	−0.218682	+	0.975796i	$0.570176\pi$
$18$	1.82770	−	2.27602i	0.430794	−	0.536464i
$19$			5.00790i			1.14889i	0.818543	+	0.574446i	$0.194782\pi$
$19$			5.00790i			1.14889i	−0.818543	+	0.574446i	$0.805218\pi$
$20$	4.16185	−	1.63677i	0.930618	−	0.365993i
$21$			3.67700i			0.802387i
$22$	1.10434	+	0.886815i	0.235447	+	0.189070i
$23$	1.24973	+	1.24973i	0.260588	+	0.260588i	0.825293	−	0.564705i	$-0.191010\pi$
$23$	1.24973	+	1.24973i	0.260588	+	0.260588i	−0.564705	+	0.825293i	$0.691010\pi$
$24$	−6.02880	+	2.04110i	−1.23062	+	0.416639i
$25$	−4.75531	+	1.54499i	−0.951063	+	0.308997i
$26$	2.57740	+	4.39966i	0.505470	+	0.862844i
$27$	−1.48928	+	1.48928i	−0.286613	+	0.286613i
$28$	1.75734	−	2.75521i	0.332105	−	0.520686i
$29$		−	8.31301i		−	1.54369i	−0.635812	−	0.771844i	$-0.719335\pi$
$29$		−	8.31301i		−	1.54369i	0.635812	−	0.771844i	$-0.280665\pi$
$30$	6.86617	−	1.86988i	1.25358	−	0.341392i
$31$	0.288879			0.0518842			0.0259421	−	0.999663i	$-0.491741\pi$
$31$	0.288879			0.0518842			0.0259421	+	0.999663i	$0.491741\pi$
$32$	5.49294	+	1.35191i	0.971023	+	0.238986i
$33$	1.59363	+	1.59363i	0.277415	+	0.277415i
$34$	−0.678029	−	6.20640i	−0.116281	−	1.06439i
$35$	−2.14760	+	2.95585i	−0.363011	+	0.499631i
$36$	−4.03077	+	0.891335i	−0.671794	+	0.148556i
$37$	−3.74705	+	3.74705i	−0.616011	+	0.616011i	−0.944506	−	0.328495i	$-0.893459\pi$
$37$	−3.74705	+	3.74705i	−0.616011	+	0.616011i	0.328495	+	0.944506i	$0.393459\pi$
$38$	4.43442	−	5.52214i	0.719358	−	0.895810i
$39$	3.31670	+	7.40489i	0.531097	+	1.18573i
$40$	−6.03855	−	1.88041i	−0.954778	−	0.297319i
$41$			5.64607i			0.881769i	0.897564	+	0.440884i	$0.145335\pi$
$41$			5.64607i			0.881769i	−0.897564	+	0.440884i	$0.854665\pi$
$42$	3.25593	−	4.05458i	0.502400	−	0.625635i
$43$	−7.56234	−	7.56234i	−1.15325	−	1.15325i	−0.985898	−	0.167349i	$-0.946479\pi$
$43$	−7.56234	−	7.56234i	−1.15325	−	1.15325i	−0.167349	−	0.985898i	$-0.553521\pi$
$44$	−0.432483	−	1.95576i	−0.0651992	−	0.294842i
$45$	4.55859	−	0.721961i	0.679554	−	0.107624i
$46$	−0.271444	−	2.48468i	−0.0400222	−	0.366347i
$47$	−3.67990	−	3.67990i	−0.536768	−	0.536768i	0.385810	−	0.922578i	$-0.373922\pi$
$47$	−3.67990	−	3.67990i	−0.536768	−	0.536768i	−0.922578	+	0.385810i	$0.873922\pi$
$48$	8.45524	+	3.08772i	1.22041	+	0.445673i
$49$		−	4.33015i		−	0.618592i
$50$	6.61168	+	2.50712i	0.935033	+	0.354561i
$51$		−	9.93461i		−	1.39112i
$52$	1.05376	−	7.13369i	0.146131	−	0.989265i
$53$	5.06483	−	5.06483i	0.695708	−	0.695708i	−0.267774	−	0.963482i	$-0.586288\pi$
$53$	5.06483	−	5.06483i	0.695708	−	0.695708i	0.963482	+	0.267774i	$0.0862881\pi$
$54$	2.96095	−	0.323475i	0.402935	−	0.0440193i
$55$	0.350301	+	2.21186i	0.0472345	+	0.298247i
$56$	−4.37749	+	1.48204i	−0.584966	+	0.198045i
$57$	7.96876	−	7.96876i	1.05549	−	1.05549i
$58$	−7.36105	+	9.16664i	−0.966553	+	1.20364i
$59$		−	13.0878i		−	1.70389i	−0.523630	−	0.851946i	$-0.675423\pi$
$59$		−	13.0878i		−	1.70389i	0.523630	−	0.851946i	$-0.324577\pi$
$60$	−9.22698	−	4.01800i	−1.19120	−	0.518721i
$61$	−7.36625			−0.943152			−0.471576	−	0.881826i	$-0.656315\pi$
$61$	−7.36625			−0.943152			−0.471576	+	0.881826i	$0.656315\pi$
$62$	−0.318543	−	0.255798i	−0.0404550	−	0.0324864i
$63$	2.38481	−	2.38481i	0.300457	−	0.300457i
$64$	−4.85989	−	6.35464i	−0.607486	−	0.794330i
$65$	−1.65871	+	7.88978i	−0.205737	+	0.978607i
$66$	−0.346138	−	3.16841i	−0.0426067	−	0.390004i
$67$	4.73121	+	4.73121i	0.578009	+	0.578009i	0.934354	−	0.356346i	$-0.115977\pi$
$67$	4.73121	+	4.73121i	0.578009	+	0.578009i	−0.356346	+	0.934354i	$0.615977\pi$
$68$	−4.74802	+	7.44409i	−0.575781	+	0.902729i
$69$		−	3.97725i		−	0.478804i
$70$	4.98549	−	1.35771i	0.595880	−	0.162278i
$71$	−4.14895			−0.492390			−0.246195	−	0.969220i	$-0.579180\pi$
$71$	−4.14895			−0.492390			−0.246195	+	0.969220i	$0.579180\pi$
$72$	5.23393	+	2.58632i	0.616825	+	0.304801i
$73$	−6.49166	−	6.49166i	−0.759792	−	0.759792i	0.216493	−	0.976284i	$-0.430538\pi$
$73$	−6.49166	−	6.49166i	−0.759792	−	0.759792i	−0.976284	+	0.216493i	$0.930538\pi$
$74$	7.44977	−	0.813864i	0.866018	−	0.0946098i
$75$	10.0253	+	5.10839i	1.15762	+	0.589867i
$76$	−9.77955	+	2.16258i	−1.12179	+	0.248065i
$77$	1.15713	+	1.15713i	0.131867	+	0.131867i
$78$	2.89964	−	11.1022i	0.328320	−	1.25707i
$79$	13.9090			1.56489			0.782443	−	0.622723i	$-0.213974\pi$
$79$	13.9090			1.56489			0.782443	+	0.622723i	$0.213974\pi$
$80$	4.99355	+	7.42054i	0.558296	+	0.829642i
$81$	10.9318			1.21465
$82$	4.99951	−	6.22585i	0.552104	−	0.687530i
$83$	1.78063	−	1.78063i	0.195449	−	0.195449i	−0.602597	−	0.798046i	$-0.705867\pi$
$83$	1.78063	−	1.78063i	0.195449	−	0.195449i	0.798046	+	0.602597i	$0.205867\pi$
$84$	−7.18053	+	1.58785i	−0.783460	+	0.173249i
$85$	5.80244	−	7.98620i	0.629363	−	0.866225i
$86$	1.64255	+	15.0352i	0.177121	+	1.62129i
$87$	−13.2280	+	13.2280i	−1.41819	+	1.41819i
$88$	−1.25490	+	2.53954i	−0.133773	+	0.270716i
$89$	−12.4897			−1.32390			−0.661951	−	0.749547i	$-0.730271\pi$
$89$	−12.4897			−1.32390			−0.661951	+	0.749547i	$0.730271\pi$
$90$	−5.66598	−	3.24046i	−0.597246	−	0.341575i
$91$	2.40824	+	5.37666i	0.252452	+	0.563627i
$92$	−1.90083	+	2.98019i	−0.198176	+	0.310706i
$93$	−0.459675	−	0.459675i	−0.0476661	−	0.0476661i
$94$	0.799279	+	7.31627i	0.0824394	+	0.754615i
$95$	11.0602	−	1.75164i	1.13475	−	0.179714i
$96$	−6.58935	−	10.8918i	−0.672523	−	1.11164i
$97$	−2.03795	+	2.03795i	−0.206923	+	0.206923i	−0.802958	−	0.596035i	$-0.796742\pi$
$97$	−2.03795	+	2.03795i	−0.206923	+	0.206923i	0.596035	+	0.802958i	$0.296742\pi$
$98$	−3.83428	+	4.77479i	−0.387321	+	0.482327i
$99$		−	2.06717i		−	0.207759i
$100$	−5.07059	−	8.61911i	−0.507059	−	0.861911i
$101$	3.87660			0.385736			0.192868	−	0.981225i	$-0.438221\pi$
$101$	3.87660			0.385736			0.192868	+	0.981225i	$0.438221\pi$
$102$	−8.79694	+	10.9548i	−0.871027	+	1.08468i
$103$	0.0173781	+	0.0173781i	0.00171232	+	0.00171232i	0.707962	−	0.706250i	$-0.249615\pi$
$103$	0.0173781	+	0.0173781i	0.00171232	+	0.00171232i	−0.706250	+	0.707962i	$0.749615\pi$
$104$	−7.47875	+	6.93313i	−0.733351	+	0.679850i
$105$	8.12081	−	1.28612i	0.792510	−	0.125513i
$106$	−10.0697	+	1.10009i	−0.978060	+	0.106850i
$107$	−6.11504	+	6.11504i	−0.591163	+	0.591163i	−0.937946	−	0.346782i	$-0.887274\pi$
$107$	−6.11504	+	6.11504i	−0.591163	+	0.591163i	0.346782	+	0.937946i	$0.387274\pi$
$108$	−3.55143	−	2.26519i	−0.341737	−	0.217968i
$109$	4.74580			0.454565			0.227283	−	0.973829i	$-0.427016\pi$
$109$	4.74580			0.454565			0.227283	+	0.973829i	$0.427016\pi$
$110$	1.57230	−	2.74917i	0.149913	−	0.262123i
$111$	11.9249			1.13186
$112$	6.13931	+	2.24198i	0.580111	+	0.211847i
$113$	−6.72237	+	6.72237i	−0.632387	+	0.632387i	−0.948666	−	0.316279i	$-0.897566\pi$
$113$	−6.72237	+	6.72237i	−0.632387	+	0.632387i	0.316279	+	0.948666i	$0.397566\pi$
$114$	−15.8433	+	1.73083i	−1.48386	+	0.162107i
$115$	2.32296	−	3.19722i	0.216618	−	0.298142i
$116$	16.2338	−	3.58984i	1.50727	−	0.333308i
$117$	2.65150	−	6.95375i	0.245131	−	0.642874i
$118$	−11.5891	+	14.4318i	−1.06686	+	1.32855i
$119$		−	7.21347i		−	0.661258i
$120$	6.61659	+	12.6009i	0.604009	+	1.15030i
$121$	−9.99699			−0.908817
$122$	8.12266	+	6.52270i	0.735391	+	0.590538i
$123$	8.98424	−	8.98424i	0.810082	−	0.810082i
$124$	0.124748	+	0.564130i	0.0112027	+	0.0506604i
$125$	5.07546	+	9.96191i	0.453963	+	0.891021i
$126$	−4.74140	+	0.517984i	−0.422398	+	0.0461456i
$127$	2.66972	−	2.66972i	0.236899	−	0.236899i	−0.578666	−	0.815565i	$-0.696426\pi$
$127$	2.66972	−	2.66972i	0.236899	−	0.236899i	0.815565	+	0.578666i	$0.196426\pi$
$128$	−0.268006	+	11.3105i	−0.0236886	+	0.999719i
$129$			24.0670i			2.11898i
$130$	8.81532	−	7.23119i	0.773155	−	0.634218i
$131$		−	18.7764i		−	1.64050i	−0.572005	−	0.820250i	$-0.693834\pi$
$131$		−	18.7764i		−	1.64050i	0.572005	−	0.820250i	$-0.306166\pi$
$132$	−2.42389	+	3.80026i	−0.210973	+	0.330770i
$133$	5.78608	−	5.78608i	0.501717	−	0.501717i
$134$	−1.02762	−	9.40644i	−0.0887732	−	0.812593i
$135$	3.81006	+	2.76823i	0.327918	+	0.238252i
$136$	11.8272	−	4.00420i	1.01417	−	0.343357i
$137$	0.875109	−	0.875109i	0.0747656	−	0.0747656i	−0.668735	−	0.743501i	$-0.733164\pi$
$137$	0.875109	−	0.875109i	0.0747656	−	0.0747656i	0.743501	+	0.668735i	$0.233164\pi$
$138$	−3.52179	+	4.38565i	−0.299795	+	0.373332i
$139$	−8.67356			−0.735681			−0.367841	−	0.929889i	$-0.619903\pi$
$139$	−8.67356			−0.735681			−0.367841	+	0.929889i	$0.619903\pi$
$140$	−6.69967	−	2.91745i	−0.566225	−	0.246569i
$141$			11.7112i			0.986259i
$142$	4.57499	+	3.67384i	0.383925	+	0.308301i
$143$	3.37401	+	1.28653i	0.282149	+	0.107585i
$144$	−3.48124	−	7.48647i	−0.290103	−	0.623872i
$145$	−18.3596	+	2.90768i	−1.52468	+	0.241470i
$146$	1.41000	+	12.9065i	0.116692	+	1.06815i
$147$	−6.89029	+	6.89029i	−0.568302	+	0.568302i
$148$	−8.93542	−	5.69922i	−0.734487	−	0.468473i
$149$	−5.04127			−0.412997			−0.206499	−	0.978447i	$-0.566207\pi$
$149$	−5.04127			−0.412997			−0.206499	+	0.978447i	$0.566207\pi$
$150$	−6.53132	−	14.5102i	−0.533280	−	1.18475i
$151$	12.6118			1.02634			0.513168	−	0.858288i	$-0.328472\pi$
$151$	12.6118			1.02634			0.513168	+	0.858288i	$0.328472\pi$
$152$	12.6987	+	6.27499i	1.03000	+	0.508969i
$153$	−6.44333	+	6.44333i	−0.520912	+	0.520912i
$154$	−0.251330	−	2.30057i	−0.0202527	−	0.185385i
$155$	−0.101043	−	0.638002i	−0.00811595	−	0.0512456i
$156$	−13.0282	+	9.67461i	−1.04309	+	0.774589i
$157$	−8.48528	−	8.48528i	−0.677199	−	0.677199i	0.282167	−	0.959365i	$-0.408947\pi$
$157$	−8.48528	−	8.48528i	−0.677199	−	0.677199i	−0.959365	+	0.282167i	$0.908947\pi$
$158$	−15.3373	−	12.3162i	−1.22017	−	0.979825i
$159$	−16.1187			−1.27829
$160$	1.06446	−	12.6042i	0.0841527	−	0.996453i
$161$		−	2.88786i		−	0.227595i
$162$	−12.0544	−	9.67996i	−0.947081	−	0.760530i
$163$	−7.33086	+	7.33086i	−0.574198	+	0.574198i	−0.933299	−	0.359101i	$-0.883083\pi$
$163$	−7.33086	+	7.33086i	−0.574198	+	0.574198i	0.359101	+	0.933299i	$0.383083\pi$
$164$	−11.0258	+	2.43816i	−0.860969	+	0.190389i
$165$	2.96218	−	4.07701i	0.230606	−	0.317395i
$166$	−3.54019	+	0.386755i	−0.274772	+	0.0300180i
$167$	−13.5670	−	13.5670i	−1.04985	−	1.04985i	−0.998691	−	0.0511560i	$-0.983709\pi$
$167$	−13.5670	−	13.5670i	−1.04985	−	1.04985i	−0.0511560	−	0.998691i	$-0.516291\pi$
$168$	9.32389	+	4.60735i	0.719354	+	0.355465i
$169$	9.69963	+	8.65547i	0.746125	+	0.665806i
$170$	−13.4699	+	3.66830i	−1.03310	+	0.281346i
$171$	−10.3367			−0.790464
$172$	11.5022	−	18.0336i	0.877038	−	1.37505i
$173$	1.85755	−	1.85755i	0.141227	−	0.141227i	−0.632959	−	0.774186i	$-0.718160\pi$
$173$	1.85755	−	1.85755i	0.141227	−	0.141227i	0.774186	+	0.632959i	$0.218160\pi$
$174$	26.2995	−	2.87313i	1.99376	−	0.217812i
$175$	7.27931	+	3.70918i	0.550264	+	0.280388i
$176$	3.63249	−	1.68912i	0.273809	−	0.127323i
$177$	−20.8258	+	20.8258i	−1.56537	+	1.56537i
$178$	13.7722	+	11.0594i	1.03227	+	0.828938i
$179$	24.8021			1.85379			0.926896	−	0.375318i	$-0.122466\pi$
$179$	24.8021			1.85379			0.926896	+	0.375318i	$0.122466\pi$
$180$	3.37841	+	8.59035i	0.251812	+	0.640287i
$181$	−8.00275			−0.594840			−0.297420	−	0.954747i	$-0.596126\pi$
$181$	−8.00275			−0.594840			−0.297420	+	0.954747i	$0.596126\pi$
$182$	2.10542	−	8.06123i	0.156064	−	0.597538i
$183$	11.7214	+	11.7214i	0.866474	+	0.866474i
$184$	4.73493	−	1.60305i	0.349064	−	0.118179i
$185$	9.58613	+	6.96489i	0.704787	+	0.512069i
$186$	0.0998422	+	0.913913i	0.00732078	+	0.0670114i
$187$	−3.12635	−	3.12635i	−0.228622	−	0.228622i
$188$	5.59709	−	8.77530i	0.408210	−	0.640004i
$189$	3.44141			0.250326
$190$	−13.7469	−	7.86209i	−0.997307	−	0.570376i
$191$		−	17.4340i		−	1.26148i	−0.775995	−	0.630739i	$-0.782752\pi$
$191$		−	17.4340i		−	1.26148i	0.775995	−	0.630739i	$-0.217248\pi$
$192$	−2.37851	+	17.8450i	−0.171654	+	1.28785i
$193$	14.2418	+	14.2418i	1.02514	+	1.02514i	0.999676	+	0.0254690i	$0.00810792\pi$
$193$	14.2418	+	14.2418i	1.02514	+	1.02514i	0.0254690	+	0.999676i	$0.491892\pi$
$194$	4.05180	−	0.442646i	0.290902	−	0.0317801i
$195$	15.1939	−	9.91512i	1.08806	−	0.710036i
$196$	8.45601	−	1.86990i	0.604001	−	0.133564i
$197$	14.4839	−	14.4839i	1.03193	−	1.03193i	0.0324598	−	0.999473i	$-0.489666\pi$
$197$	14.4839	−	14.4839i	1.03193	−	1.03193i	0.999473	−	0.0324598i	$-0.0103341\pi$
$198$	−1.83045	+	2.27944i	−0.130084	+	0.161993i
$199$	−17.4123			−1.23432			−0.617162	−	0.786836i	$-0.711718\pi$
$199$	−17.4123			−1.23432			−0.617162	+	0.786836i	$0.711718\pi$
$200$	−2.04083	+	13.9941i	−0.144308	+	0.989533i
$201$		−	15.0569i		−	1.06203i
$202$	−4.27467	−	3.43267i	−0.300765	−	0.241522i
$203$	−9.60477	+	9.60477i	−0.674123	+	0.674123i
$204$	19.4005	−	4.29010i	1.35831	−	0.300367i
$205$	12.4696	−	1.97486i	0.870914	−	0.137930i
$206$	−0.00377455	−	0.0345507i	−0.000262986	−	0.00240726i
$207$	−2.57954	+	2.57954i	−0.179290	+	0.179290i
$208$	14.3859	−	1.02276i	0.997482	−	0.0709153i
$209$		−	5.01543i		−	0.346924i
$210$	−10.0935	−	5.77266i	−0.696521	−	0.398351i
$211$			12.6836i			0.873177i	0.899661	+	0.436589i	$0.143813\pi$
$211$			12.6836i			0.873177i	−0.899661	+	0.436589i	$0.856187\pi$
$212$	12.0779	+	7.70355i	0.829512	+	0.529082i
$213$	6.60197	+	6.60197i	0.452360	+	0.452360i
$214$	12.1577	−	1.32820i	0.831086	−	0.0907936i
$215$	−14.0566	+	19.3469i	−0.958654	+	1.31945i
$216$	1.91033	+	5.64253i	0.129981	+	0.383926i
$217$	−0.333768	−	0.333768i	−0.0226577	−	0.0226577i
$218$	−5.23313	−	4.20234i	−0.354432	−	0.284618i
$219$			20.6595i			1.39604i
$220$	−4.16810	+	1.63923i	−0.281013	+	0.110517i
$221$	−6.50664	−	14.5268i	−0.437684	−	0.977178i
$222$	−13.1494	−	10.5593i	−0.882530	−	0.708694i
$223$	10.1526	−	10.1526i	0.679871	−	0.679871i	−0.280100	−	0.959971i	$-0.590367\pi$
$223$	10.1526	−	10.1526i	0.679871	−	0.679871i	0.959971	+	0.280100i	$0.0903675\pi$
$224$	−4.78450	−	7.90847i	−0.319678	−	0.528407i
$225$	−3.18896	−	9.81531i	−0.212597	−	0.654354i
$226$	13.3652	−	1.46011i	0.889041	−	0.0971249i
$227$	−10.7707	−	10.7707i	−0.714874	−	0.714874i	0.252677	−	0.967551i	$-0.418689\pi$
$227$	−10.7707	−	10.7707i	−0.714874	−	0.714874i	−0.967551	+	0.252677i	$0.918689\pi$
$228$	19.0028	+	12.1204i	1.25849	+	0.802693i
$229$	8.19357			0.541447			0.270723	−	0.962657i	$-0.412737\pi$
$229$	8.19357			0.541447			0.270723	+	0.962657i	$0.412737\pi$
$230$	−5.39259	+	1.46858i	−0.355577	+	0.0968351i
$231$		−	3.68253i		−	0.242292i
$232$	−21.0796	−	10.4164i	−1.38394	−	0.683867i
$233$	13.2877	−	13.2877i	0.870506	−	0.870506i	−0.122021	−	0.992527i	$-0.538938\pi$
$233$	13.2877	−	13.2877i	0.870506	−	0.870506i	0.992527	+	0.122021i	$0.0389376\pi$
$234$	−9.08121	+	5.31994i	−0.593657	+	0.347776i
$235$	−6.84007	+	9.41435i	−0.446197	+	0.614124i
$236$	25.5582	−	5.65177i	1.66370	−	0.367899i
$237$	−22.1325	−	22.1325i	−1.43766	−	1.43766i
$238$	−6.38742	+	7.95420i	−0.414035	+	0.515594i
$239$			17.2458i			1.11554i	0.829996	+	0.557770i	$0.188343\pi$
$239$			17.2458i			1.11554i	−0.829996	+	0.557770i	$0.811657\pi$
$240$	3.86192	−	19.7538i	0.249286	−	1.27510i
$241$		−	19.8540i		−	1.27891i	−0.768829	−	0.639454i	$-0.779160\pi$
$241$		−	19.8540i		−	1.27891i	0.768829	−	0.639454i	$-0.220840\pi$
$242$	11.0235	+	8.85218i	0.708620	+	0.569040i
$243$	−12.9273	−	12.9273i	−0.829285	−	0.829285i
$244$	−3.18099	−	14.3850i	−0.203642	−	0.920904i
$245$	−9.56331	+	1.51458i	−0.610978	+	0.0967628i
$246$	−17.8622	+	1.95139i	−1.13885	+	0.124416i
$247$	6.43313	−	16.8714i	0.409330	−	1.07350i
$248$	0.361971	−	0.732521i	0.0229852	−	0.0465151i
$249$	−5.66681			−0.359119
$250$	3.22449	−	15.4791i	0.203934	−	0.978985i
$251$			11.9518i			0.754393i	0.926133	+	0.377197i	$0.123112\pi$
$251$			11.9518i			0.754393i	−0.926133	+	0.377197i	$0.876888\pi$
$252$	5.68695	+	3.62727i	0.358244	+	0.228496i
$253$	−1.25161	−	1.25161i	−0.0786882	−	0.0786882i
$254$	−5.30786	+	0.579867i	−0.333045	+	0.0363841i
$255$	−21.9410	+	3.47488i	−1.37400	+	0.217605i
$256$	10.3108	−	12.2347i	0.644427	−	0.764666i
$257$	0.510300	+	0.510300i	0.0318316	+	0.0318316i	0.722843	−	0.691012i	$-0.242835\pi$
$257$	0.510300	+	0.510300i	0.0318316	+	0.0318316i	−0.691012	+	0.722843i	$0.742835\pi$
$258$	21.3109	−	26.5383i	1.32676	−	1.65220i
$259$	8.65860			0.538019
$260$	−16.1236	+	0.167908i	−0.999946	+	0.0104132i
$261$	17.1586			1.06209
$262$	−16.6262	+	20.7045i	−1.02717	+	1.27913i
$263$	−21.4699	−	21.4699i	−1.32389	−	1.32389i	−0.910599	−	0.413291i	$-0.864379\pi$
$263$	−21.4699	−	21.4699i	−1.32389	−	1.32389i	−0.413291	−	0.910599i	$-0.635621\pi$
$264$	6.03786	−	2.04417i	0.371605	−	0.125810i
$265$	−12.9574	−	9.41433i	−0.795969	−	0.578318i
$266$	−11.5037	+	1.25674i	−0.705338	+	0.0770560i
$267$	19.8740	+	19.8740i	1.21627	+	1.21627i
$268$	−7.19612	+	11.2823i	−0.439573	+	0.689176i
$269$		−	0.456688i		−	0.0278448i	−0.999903	−	0.0139224i	$-0.995568\pi$
$269$		−	0.456688i		−	0.0278448i	0.999903	−	0.0139224i	$-0.00443178\pi$
$270$	−1.75008	−	6.42625i	−0.106506	−	0.391089i
$271$	6.62292			0.402314			0.201157	−	0.979559i	$-0.435530\pi$
$271$	6.62292			0.402314			0.201157	+	0.979559i	$0.435530\pi$
$272$	−16.5874	−	6.05743i	−1.00576	−	0.367286i
$273$	4.72346	−	12.3876i	0.285877	−	0.749733i
$274$	−1.73987	+	0.190075i	−0.105109	+	0.0114828i
$275$	4.76246	−	1.54731i	0.287187	−	0.0933062i
$276$	7.76686	−	1.71751i	0.467510	−	0.103382i
$277$	16.5166	+	16.5166i	0.992386	+	0.992386i	0.999971	−	0.00758480i	$-0.00241434\pi$
$277$	16.5166	+	16.5166i	0.992386	+	0.992386i	−0.00758480	+	0.999971i	$0.502414\pi$
$278$	9.56421	+	7.68030i	0.573623	+	0.460634i
$279$			0.596267i			0.0356976i
$280$	4.80427	+	9.14948i	0.287110	+	0.546786i
$281$		−	8.40674i		−	0.501504i	−0.968051	−	0.250752i	$-0.919322\pi$
$281$		−	8.40674i		−	0.501504i	0.968051	−	0.250752i	$-0.0806779\pi$
$282$	10.3701	−	12.9138i	0.617529	−	0.769003i
$283$	2.63565	+	2.63565i	0.156673	+	0.156673i	0.781091	−	0.624418i	$-0.214664\pi$
$283$	2.63565	+	2.63565i	0.156673	+	0.156673i	−0.624418	+	0.781091i	$0.714664\pi$
$284$	−1.79166	−	8.10218i	−0.106315	−	0.480776i
$285$	−20.3866	−	14.8121i	−1.20760	−	0.877391i
$286$	−2.58128	−	4.40627i	−0.152634	−	0.260548i
$287$	6.52342	−	6.52342i	0.385065	−	0.385065i
$288$	−2.79044	+	11.3378i	−0.164428	+	0.668087i
$289$			2.48954i			0.146443i
$290$	22.8196	+	13.0509i	1.34001	+	0.766376i
$291$	6.48573			0.380200
$292$	9.87375	−	15.4804i	0.577818	−	0.905921i
$293$	0.626995	+	0.626995i	0.0366294	+	0.0366294i	0.725184	−	0.688555i	$-0.241755\pi$
$293$	0.626995	+	0.626995i	0.0366294	+	0.0366294i	−0.688555	+	0.725184i	$0.741755\pi$
$294$	13.6991	−	1.49658i	0.798946	−	0.0872824i
$295$	−28.9050	+	4.57780i	−1.68292	+	0.266530i
$296$	4.80639	+	14.1966i	0.279366	+	0.825163i
$297$	1.49152	−	1.49152i	0.0865469	−	0.0865469i
$298$	5.55894	+	4.46397i	0.322021	+	0.258591i
$299$	−2.60489	−	5.81569i	−0.150645	−	0.336330i
$300$	−5.64654	+	21.7836i	−0.326003	+	1.25767i
$301$			17.4749i			1.00724i
$302$	−13.9069	−	11.1676i	−0.800251	−	0.642622i
$303$	−6.16858	−	6.16858i	−0.354376	−	0.354376i
$304$	−8.44627	−	18.1639i	−0.484427	−	1.04177i
$305$	2.57653	+	16.2687i	0.147532	+	0.931541i
$306$	12.8104	−	1.39950i	0.732324	−	0.0800041i
$307$	18.5017	+	18.5017i	1.05595	+	1.05595i	0.998339	+	0.0576092i	$0.0183477\pi$
$307$	18.5017	+	18.5017i	1.05595	+	1.05595i	0.0576092	+	0.998339i	$0.481652\pi$
$308$	−1.75998	+	2.75935i	−0.100284	+	0.157229i
$309$		−	0.0553054i		−	0.00314622i
$310$	−0.453523	+	0.792988i	−0.0257583	+	0.0450387i
$311$			14.7101i			0.834135i	0.908875	+	0.417068i	$0.136942\pi$
$311$			14.7101i			0.834135i	−0.908875	+	0.417068i	$0.863058\pi$
$312$	22.9327	+	0.868199i	1.29831	+	0.0491521i
$313$	−24.4854	+	24.4854i	−1.38400	+	1.38400i	−0.546616	+	0.837383i	$0.684084\pi$
$313$	−24.4854	+	24.4854i	−1.38400	+	1.38400i	−0.837383	+	0.546616i	$0.815916\pi$
$314$	1.84301	+	16.8702i	0.104007	+	0.952039i
$315$	−6.10109	−	4.43280i	−0.343758	−	0.249760i
$316$	6.00638	+	27.1618i	0.337885	+	1.52797i
$317$	16.1489	−	16.1489i	0.907014	−	0.907014i	−0.0890163	−	0.996030i	$-0.528372\pi$
$317$	16.1489	−	16.1489i	0.907014	−	0.907014i	0.996030	+	0.0890163i	$0.0283723\pi$
$318$	17.7738	+	14.2728i	0.996708	+	0.800382i
$319$			8.32550i			0.466139i
$320$	−12.3346	+	12.9560i	−0.689527	+	0.724260i
$321$	19.4610			1.08620
$322$	−2.55716	+	3.18440i	−0.142505	+	0.177460i
$323$	−15.6330	+	15.6330i	−0.869842	+	0.869842i
$324$	4.72073	+	21.3479i	0.262263	+	1.18600i
$325$	18.0051	+	0.903678i	0.998743	+	0.0501270i
$326$	14.5750	−	1.59227i	0.807235	−	0.0881879i
$327$	−7.55170	−	7.55170i	−0.417610	−	0.417610i
$328$	14.3169	+	7.07464i	0.790521	+	0.390631i
$329$			8.50344i			0.468810i
$330$	−6.87649	+	1.87269i	−0.378538	+	0.103088i
$331$	−28.3312			−1.55722			−0.778611	−	0.627507i	$-0.784075\pi$
$331$	−28.3312			−1.55722			−0.778611	+	0.627507i	$0.784075\pi$
$332$	4.24619	+	2.70832i	0.233040	+	0.148638i
$333$	−7.73417	−	7.73417i	−0.423830	−	0.423830i
$334$	2.94677	+	26.9735i	0.161240	+	1.47593i
$335$	8.79421	−	12.1039i	0.480479	−	0.661308i
$336$	−6.20159	−	13.3366i	−0.338324	−	0.727572i
$337$	3.62117	+	3.62117i	0.197258	+	0.197258i	0.798823	−	0.601566i	$-0.205456\pi$
$337$	3.62117	+	3.62117i	0.197258	+	0.197258i	−0.601566	+	0.798823i	$0.705456\pi$
$338$	−3.03136	−	18.1331i	−0.164884	−	0.986313i
$339$	21.3938			1.16195
$340$	18.1013	+	7.88243i	0.981682	+	0.427485i
$341$	−0.289313			−0.0156672
$342$	11.3981	+	9.15296i	0.616338	+	0.494935i
$343$	−13.0907	+	13.0907i	−0.706834	+	0.706834i
$344$	−28.6518	+	9.70033i	−1.54480	+	0.523007i
$345$	−8.78392	+	1.39114i	−0.472910	+	0.0748965i
$346$	−3.69312	+	0.403462i	−0.198544	+	0.0216903i
$347$	−10.8781	+	10.8781i	−0.583968	+	0.583968i	−0.935991	−	0.352023i	$-0.885494\pi$
$347$	−10.8781	+	10.8781i	−0.583968	+	0.583968i	0.352023	+	0.935991i	$0.385494\pi$
$348$	−31.5442	−	20.1196i	−1.69095	−	1.07852i
$349$	−8.12287			−0.434807			−0.217404	−	0.976082i	$-0.569759\pi$
$349$	−8.12287			−0.434807			−0.217404	+	0.976082i	$0.569759\pi$
$350$	−4.74236	−	10.5358i	−0.253490	−	0.563161i
$351$	6.93045	−	3.10420i	0.369920	−	0.165690i
$352$	−5.50119	−	1.35394i	−0.293214	−	0.0721653i
$353$	18.6772	+	18.6772i	0.994085	+	0.994085i	0.999983	−	0.00589744i	$-0.00187722\pi$
$353$	18.6772	+	18.6772i	0.994085	+	0.994085i	−0.00589744	+	0.999983i	$0.501877\pi$
$354$	41.4053	−	4.52340i	2.20067	−	0.240416i
$355$	1.45120	+	9.16314i	0.0770217	+	0.486329i
$356$	−5.39346	−	24.3901i	−0.285853	−	1.29267i
$357$	−11.4783	+	11.4783i	−0.607499	+	0.607499i
$358$	−27.3489	−	21.9618i	−1.44543	−	1.16072i
$359$		−	23.8423i		−	1.25835i	−0.777265	−	0.629174i	$-0.783393\pi$
$359$		−	23.8423i		−	1.25835i	0.777265	−	0.629174i	$-0.216607\pi$
$360$	3.88129	−	12.4640i	0.204562	−	0.656910i
$361$	−6.07907			−0.319951
$362$	8.82453	+	7.08632i	0.463807	+	0.372449i
$363$	15.9076	+	15.9076i	0.834932	+	0.834932i
$364$	−9.45971	+	7.02469i	−0.495823	+	0.368194i
$365$	−12.0665	+	16.6077i	−0.631589	+	0.869288i
$366$	−2.54592	−	23.3042i	−0.133077	−	1.21813i
$367$	8.50113	−	8.50113i	0.443755	−	0.443755i	−0.449517	−	0.893272i	$-0.648404\pi$
$367$	8.50113	−	8.50113i	0.443755	−	0.443755i	0.893272	+	0.449517i	$0.148404\pi$
$368$	−6.64062	−	2.42505i	−0.346166	−	0.126414i
$369$	−11.6539			−0.606678
$370$	−4.40320	−	16.1685i	−0.228911	−	0.840558i
$371$	−11.7037			−0.607626
$372$	0.699162	−	1.09617i	0.0362498	−	0.0568337i
$373$	17.2997	−	17.2997i	0.895745	−	0.895745i	−0.0993115	−	0.995056i	$-0.531664\pi$
$373$	17.2997	−	17.2997i	0.895745	−	0.895745i	0.995056	+	0.0993115i	$0.0316640\pi$
$374$	0.679048	+	6.21572i	0.0351127	+	0.321407i
$375$	7.77551	−	23.9280i	0.401526	−	1.23564i
$376$	−13.9422	+	4.72026i	−0.719015	+	0.243429i
$377$	−10.6789	+	28.0061i	−0.549989	+	1.44239i
$378$	−3.79480	−	3.04732i	−0.195183	−	0.156737i
$379$		−	3.24187i		−	0.166524i	−0.996528	−	0.0832618i	$-0.973466\pi$
$379$		−	3.24187i		−	0.166524i	0.996528	−	0.0832618i	$-0.0265338\pi$
$380$	8.19679	+	20.8421i	0.420486	+	1.06918i
$381$	−8.49631			−0.435279
$382$	−15.4375	+	19.2242i	−0.789853	+	0.983596i
$383$	6.74298	−	6.74298i	0.344550	−	0.344550i	−0.513525	−	0.858075i	$-0.671661\pi$
$383$	6.74298	−	6.74298i	0.344550	−	0.344550i	0.858075	+	0.513525i	$0.171661\pi$
$384$	18.4242	−	17.5713i	0.940206	−	0.896681i
$385$	2.15083	−	2.96030i	0.109616	−	0.150871i
$386$	−3.09333	−	28.3151i	−0.157446	−	1.44120i
$387$	15.6092	−	15.6092i	0.793461	−	0.793461i
$388$	−4.85982	−	3.09970i	−0.246720	−	0.157364i
$389$		−	15.0240i		−	0.761747i	−0.924627	−	0.380874i	$-0.875623\pi$
$389$		−	15.0240i		−	0.761747i	0.924627	−	0.380874i	$-0.124377\pi$
$390$	−25.5338	−	2.52072i	−1.29295	−	0.127641i
$391$			7.80249i			0.394589i
$392$	−10.9801	−	5.42575i	−0.554579	−	0.274042i
$393$	−29.8777	+	29.8777i	−1.50713	+	1.50713i
$394$	−28.7964	+	3.14592i	−1.45074	+	0.158489i
$395$	−4.86502	−	30.7186i	−0.244786	−	1.54562i
$396$	4.03682	−	0.892675i	0.202858	−	0.0448586i
$397$	−13.0440	+	13.0440i	−0.654661	+	0.654661i	−0.954112	−	0.299451i	$-0.903196\pi$
$397$	−13.0440	+	13.0440i	−0.654661	+	0.654661i	0.299451	+	0.954112i	$0.403196\pi$
$398$	19.2003	+	15.4183i	0.962423	+	0.772850i
$399$	−18.4140			−0.921855
$400$	14.6420	−	13.6240i	0.732098	−	0.681199i
$401$		−	10.9286i		−	0.545750i	−0.962049	−	0.272875i	$-0.912025\pi$
$401$		−	10.9286i		−	0.545750i	0.962049	−	0.272875i	$-0.0879746\pi$
$402$	−13.3327	+	16.6031i	−0.664974	+	0.828086i
$403$	−0.973219	−	0.371093i	−0.0484795	−	0.0184855i
$404$	1.67404	+	7.57031i	0.0832868	+	0.376637i
$405$	−3.82368	−	24.1434i	−0.190000	−	1.19969i
$406$	19.0959	−	2.08617i	0.947715	−	0.103535i
$407$	3.75268	−	3.75268i	0.186013	−	0.186013i
$408$	−25.1915	−	12.4482i	−1.24717	−	0.616280i
$409$	28.8310			1.42560			0.712801	−	0.701366i	$-0.247426\pi$
$409$	28.8310			1.42560			0.712801	+	0.701366i	$0.247426\pi$
$410$	−15.4988	−	8.86399i	−0.765429	−	0.437761i
$411$	−2.78501			−0.137375
$412$	−0.0264320	+	0.0414409i	−0.00130221	+	0.00204164i
$413$	−15.1216	+	15.1216i	−0.744083	+	0.744083i
$414$	5.12857	−	0.560280i	0.252055	−	0.0275362i
$415$	−4.55541	−	3.30977i	−0.223616	−	0.162470i
$416$	−16.7688	−	11.6107i	−0.822156	−	0.569262i
$417$	13.8017	+	13.8017i	0.675871	+	0.675871i
$418$	−4.44108	+	5.53044i	−0.217221	+	0.270503i
$419$	−25.0475			−1.22365			−0.611825	−	0.790993i	$-0.709564\pi$
$419$	−25.0475			−1.22365			−0.611825	+	0.790993i	$0.709564\pi$
$420$	6.01841	+	15.3031i	0.293668	+	0.746715i
$421$			27.6601i			1.34807i	0.738698	+	0.674037i	$0.235441\pi$
$421$			27.6601i			1.34807i	−0.738698	+	0.674037i	$0.764559\pi$
$422$	11.2312	−	13.9861i	0.546724	−	0.680831i
$423$	7.59557	−	7.59557i	0.369309	−	0.369309i
$424$	−6.49673	−	19.1894i	−0.315509	−	0.931918i
$425$	−19.6674	−	10.0216i	−0.954009	−	0.486117i
$426$	−1.43396	−	13.1258i	−0.0694755	−	0.635949i
$427$	8.51089	+	8.51089i	0.411871	+	0.411871i
$428$	−14.5823	−	9.30091i	−0.704861	−	0.449577i
$429$	−3.32168	−	7.41602i	−0.160372	−	0.358049i
$430$	32.6314	−	8.88659i	1.57363	−	0.428550i
$431$	−9.74272			−0.469290			−0.234645	−	0.972081i	$-0.575393\pi$
$431$	−9.74272			−0.469290			−0.234645	+	0.972081i	$0.575393\pi$
$432$	2.88988	−	7.91351i	0.139040	−	0.380739i
$433$	8.43954	−	8.43954i	0.405578	−	0.405578i	−0.474615	−	0.880193i	$-0.657413\pi$
$433$	8.43954	−	8.43954i	0.405578	−	0.405578i	0.880193	+	0.474615i	$0.157413\pi$
$434$	0.0724949	+	0.663588i	0.00347987	+	0.0318533i
$435$	33.8413	+	24.5877i	1.62257	+	1.17889i
$436$	2.04940	+	9.26771i	0.0981483	+	0.443843i
$437$	−6.25854	+	6.25854i	−0.299387	+	0.299387i
$438$	18.2937	−	22.7810i	0.874107	−	1.08852i
$439$	19.7703			0.943584			0.471792	−	0.881710i	$-0.343607\pi$
$439$	19.7703			0.943584			0.471792	+	0.881710i	$0.343607\pi$
$440$	6.04762	+	1.88323i	0.288309	+	0.0897796i
$441$	8.93773			0.425606
$442$	−5.68846	+	21.7800i	−0.270573	+	1.03597i
$443$	11.5972	+	11.5972i	0.551000	+	0.551000i	0.926729	−	0.375730i	$-0.122608\pi$
$443$	11.5972	+	11.5972i	0.551000	+	0.551000i	−0.375730	+	0.926729i	$0.622608\pi$
$444$	5.14956	+	23.2872i	0.244387	+	1.10516i
$445$	4.36858	+	27.5840i	0.207090	+	1.30761i
$446$	−20.1852	+	2.20517i	−0.955797	+	0.104418i
$447$	8.02186	+	8.02186i	0.379421	+	0.379421i
$448$	−1.72702	+	12.9572i	−0.0815942	+	0.612168i
$449$	23.1178			1.09100			0.545499	−	0.838111i	$-0.316340\pi$
$449$	23.1178			1.09100			0.545499	+	0.838111i	$0.316340\pi$
$450$	−5.17488	+	13.6470i	−0.243946	+	0.643325i
$451$		−	5.65456i		−	0.266263i
$452$	−16.0305	−	10.2247i	−0.754013	−	0.480927i
$453$	−20.0684	−	20.0684i	−0.942896	−	0.942896i
$454$	2.33940	+	21.4139i	0.109794	+	1.00501i
$455$	11.0322	−	7.19932i	0.517199	−	0.337509i
$456$	−10.2216	−	30.1916i	−0.478672	−	1.41385i
$457$	8.57872	−	8.57872i	0.401296	−	0.401296i	−0.477394	−	0.878689i	$-0.658418\pi$
$457$	8.57872	−	8.57872i	0.401296	−	0.401296i	0.878689	+	0.477394i	$0.158418\pi$
$458$	−9.03494	−	7.25529i	−0.422175	−	0.339017i
$459$	−9.29809			−0.433998
$460$	7.24673	+	3.15567i	0.337881	+	0.147134i
$461$		−	15.6754i		−	0.730078i	−0.930992	−	0.365039i	$-0.881056\pi$
$461$		−	15.6754i		−	0.730078i	0.930992	−	0.365039i	$-0.118944\pi$
$462$	−3.26082	+	4.06067i	−0.151707	+	0.188919i
$463$	22.6186	−	22.6186i	1.05118	−	1.05118i	0.0525571	−	0.998618i	$-0.483263\pi$
$463$	22.6186	−	22.6186i	1.05118	−	1.05118i	0.998618	−	0.0525571i	$-0.0167372\pi$
$464$	14.0206	+	30.1516i	0.650892	+	1.39975i
$465$	−0.854429	+	1.17600i	−0.0396232	+	0.0545355i
$466$	−26.4182	+	2.88611i	−1.22380	+	0.133696i
$467$	−5.52619	+	5.52619i	−0.255722	+	0.255722i	−0.823311	−	0.567590i	$-0.807876\pi$
$467$	−5.52619	+	5.52619i	−0.255722	+	0.255722i	0.567590	+	0.823311i	$0.307876\pi$
$468$	14.7244	+	2.17504i	0.680638	+	0.100541i
$469$		−	10.9328i		−	0.504829i
$470$	15.8787	−	4.32429i	0.732430	−	0.199465i
$471$			27.0042i			1.24429i
$472$	−33.1873	−	16.3993i	−1.52757	−	0.754839i
$473$	7.57371	+	7.57371i	0.348239	+	0.348239i
$474$	4.80722	+	44.0032i	0.220803	+	2.02114i
$475$	−7.73714	−	23.8141i	−0.355004	−	1.09267i
$476$	14.0866	−	3.11502i	0.645660	−	0.142777i
$477$	10.4542	+	10.4542i	0.478663	+	0.478663i
$478$	15.2709	−	19.0167i	0.698475	−	0.869805i
$479$		−	3.20609i		−	0.146490i	−0.997314	−	0.0732451i	$-0.976664\pi$
$479$		−	3.20609i		−	0.146490i	0.997314	−	0.0732451i	$-0.0233355\pi$
$480$	−21.7501	+	18.3625i	−0.992754	+	0.838131i
$481$	17.4370	−	7.81017i	0.795061	−	0.356113i
$482$	−17.5804	+	21.8927i	−0.800766	+	0.997186i
$483$	−4.59527	+	4.59527i	−0.209092	+	0.209092i
$484$	−4.31704	−	19.5224i	−0.196229	−	0.887380i
$485$	5.21373	+	3.78808i	0.236743	+	0.172008i
$486$	2.80782	+	25.7016i	0.127365	+	1.16585i
$487$	10.5303	+	10.5303i	0.477174	+	0.477174i	0.904227	−	0.427053i	$-0.140448\pi$
$487$	10.5303	+	10.5303i	0.477174	+	0.477174i	−0.427053	+	0.904227i	$0.640448\pi$
$488$	−9.23005	+	18.6788i	−0.417825	+	0.845552i
$489$	23.3303			1.05503
$490$	11.8865	+	6.79806i	0.536976	+	0.307105i
$491$		−	4.79494i		−	0.216393i	−0.994130	−	0.108196i	$-0.965492\pi$
$491$		−	4.79494i		−	0.216393i	0.994130	−	0.108196i	$-0.0345075\pi$
$492$	21.4243	+	13.6649i	0.965884	+	0.616063i
$493$	25.9504	−	25.9504i	1.16875	−	1.16875i
$494$	−22.0331	+	12.9074i	−0.991314	+	0.580730i
$495$	−4.56544	+	0.723046i	−0.205201	+	0.0324985i
$496$	−1.04778	+	0.487221i	−0.0470466	+	0.0218769i
$497$	4.79366	+	4.79366i	0.215025	+	0.215025i
$498$	6.24871	+	5.01787i	0.280011	+	0.224856i
$499$		−	30.1159i		−	1.34817i	−0.738653	−	0.674086i	$-0.764538\pi$
$499$		−	30.1159i		−	1.34817i	0.738653	−	0.674086i	$-0.235462\pi$
$500$	−17.2621	+	14.2134i	−0.771985	+	0.635641i
$501$			43.1767i			1.92899i
$502$	10.5832	−	13.1791i	0.472350	−	0.588213i
$503$	17.3309	+	17.3309i	0.772749	+	0.772749i	0.978586	−	0.205838i	$-0.0659919\pi$
$503$	17.3309	+	17.3309i	0.772749	+	0.772749i	−0.205838	+	0.978586i	$0.565992\pi$
$504$	−3.05903	−	9.03544i	−0.136260	−	0.402471i
$505$	−1.35594	−	8.56162i	−0.0603384	−	0.380987i
$506$	0.271852	+	2.48842i	0.0120853	+	0.110624i
$507$	−1.66150	−	29.2073i	−0.0737899	−	1.29714i
$508$	6.36637	+	4.06062i	0.282462	+	0.180161i
$509$	−23.5534			−1.04399			−0.521993	−	0.852950i	$-0.674811\pi$
$509$	−23.5534			−1.04399			−0.521993	+	0.852950i	$0.674811\pi$
$510$	27.2710	+	15.5967i	1.20758	+	0.690634i
$511$			15.0008i			0.663596i
$512$	−22.2032	+	4.36090i	−0.981253	+	0.192726i
$513$	−7.45819	−	7.45819i	−0.329287	−	0.329287i
$514$	−0.110838	−	1.01456i	−0.00488885	−	0.0447505i
$515$	0.0323019	−	0.0444587i	0.00142339	−	0.00195909i
$516$	−46.9985	+	10.3929i	−2.06900	+	0.457523i
$517$	3.68543	+	3.68543i	0.162085	+	0.162085i
$518$	−9.54772	−	7.66706i	−0.419503	−	0.336871i
$519$	−5.91160			−0.259490
$520$	17.9280	+	14.0921i	0.786195	+	0.617979i
$521$	−16.0659			−0.703859			−0.351929	−	0.936027i	$-0.614474\pi$
$521$	−16.0659			−0.703859			−0.351929	+	0.936027i	$0.614474\pi$
$522$	−18.9206	−	15.1937i	−0.828132	−	0.665011i
$523$	−0.229641	−	0.229641i	−0.0100415	−	0.0100415i	0.702068	−	0.712110i	$-0.252260\pi$
$523$	−0.229641	−	0.229641i	−0.0100415	−	0.0100415i	−0.712110	+	0.702068i	$0.752260\pi$
$524$	36.6670	−	8.10827i	1.60180	−	0.354212i
$525$	−5.68091	−	17.4853i	−0.247935	−	0.763121i
$526$	4.66329	+	42.6858i	0.203329	+	1.86119i
$527$	0.901783	+	0.901783i	0.0392823	+	0.0392823i
$528$	−8.46795	−	3.09236i	−0.368520	−	0.134578i
$529$		−	19.8763i		−	0.864188i
$530$	5.95174	+	21.8547i	0.258527	+	0.949306i
$531$	27.0142			1.17232
$532$	13.7978	+	8.80057i	0.598211	+	0.381553i
$533$	7.25292	−	19.0213i	0.314159	−	0.823905i
$534$	−4.31667	−	39.5130i	−0.186800	−	1.70989i
$535$	15.6442	+	11.3664i	0.676358	+	0.491414i
$536$	17.9254	−	6.06879i	0.774258	−	0.262132i
$537$	−39.4659	−	39.4659i	−1.70308	−	1.70308i
$538$	−0.404391	+	0.503584i	−0.0174345	+	0.0217110i
$539$			4.33665i			0.186793i
$540$	−3.76056	+	8.63580i	−0.161829	+	0.371626i
$541$		−	34.3843i		−	1.47830i	−0.673543	−	0.739148i	$-0.735228\pi$
$541$		−	34.3843i		−	1.47830i	0.673543	−	0.739148i	$-0.264772\pi$
$542$	−7.30300	−	5.86449i	−0.313691	−	0.251901i
$543$	12.7343	+	12.7343i	0.546480	+	0.546480i
$544$	12.9269	+	21.3673i	0.554235	+	0.916115i
$545$	−1.65996	−	10.4813i	−0.0711050	−	0.448970i
$546$	−16.1775	+	9.47711i	−0.692335	+	0.405583i
$547$	9.62082	−	9.62082i	0.411357	−	0.411357i	−0.470854	−	0.882211i	$-0.656054\pi$
$547$	9.62082	−	9.62082i	0.411357	−	0.411357i	0.882211	+	0.470854i	$0.156054\pi$
$548$	2.08684	+	1.33103i	0.0891452	+	0.0568589i
$549$		−	15.2045i		−	0.648911i
$550$	−6.62162	−	2.51089i	−0.282347	−	0.107065i
$551$	41.6307			1.77353
$552$	−10.0852	−	4.98356i	−0.429256	−	0.212115i
$553$	−16.0703	−	16.0703i	−0.683380	−	0.683380i
$554$	−3.58743	−	32.8378i	−0.152415	−	1.39515i
$555$	−4.17103	−	26.3366i	−0.177050	−	1.11793i
$556$	−3.74553	−	16.9379i	−0.158846	−	0.718328i
$557$	30.3726	−	30.3726i	1.28693	−	1.28693i	0.350287	−	0.936643i	$-0.386084\pi$
$557$	30.3726	−	30.3726i	1.28693	−	1.28693i	0.936643	−	0.350287i	$-0.113916\pi$
$558$	0.527986	−	0.657496i	0.0223514	−	0.0278340i
$559$	15.7626	+	35.1917i	0.666687	+	1.48845i
$560$	2.80412	−	14.3431i	0.118496	−	0.606107i
$561$			9.94954i			0.420070i
$562$	−7.44404	+	9.27000i	−0.314008	+	0.391031i
$563$	11.3315	+	11.3315i	0.477564	+	0.477564i	0.904352	−	0.426788i	$-0.140355\pi$
$563$	11.3315	+	11.3315i	0.477564	+	0.477564i	−0.426788	+	0.904352i	$0.640355\pi$
$564$	−22.8699	+	5.05728i	−0.962995	+	0.212950i
$565$	17.1979	+	12.4953i	0.723523	+	0.525682i
$566$	−0.572467	−	5.24013i	−0.0240626	−	0.220259i
$567$	−12.6305	−	12.6305i	−0.530432	−	0.530432i
$568$	−5.19872	+	10.5206i	−0.218133	+	0.441436i
$569$		−	10.8043i		−	0.452940i	−0.974018	−	0.226470i	$-0.927281\pi$
$569$		−	10.8043i		−	0.452940i	0.974018	−	0.226470i	$-0.0727185\pi$
$570$	9.36418	+	34.3851i	0.392222	+	1.44023i
$571$			3.57025i			0.149410i	0.997206	+	0.0747052i	$0.0238016\pi$
$571$			3.57025i			0.149410i	−0.997206	+	0.0747052i	$0.976198\pi$
$572$	−1.05535	+	7.14441i	−0.0441263	+	0.298723i
$573$	−27.7416	+	27.7416i	−1.15892	+	1.15892i
$574$	−12.9697	+	1.41690i	−0.541344	+	0.0591401i
$575$	−7.87370	−	4.01206i	−0.328356	−	0.167314i
$576$	13.1164	−	10.0312i	0.546518	−	0.417965i
$577$	−6.27627	+	6.27627i	−0.261285	+	0.261285i	−0.825576	−	0.564291i	$-0.809150\pi$
$577$	−6.27627	+	6.27627i	−0.261285	+	0.261285i	0.564291	+	0.825576i	$0.309150\pi$
$578$	2.20445	−	2.74518i	0.0916930	−	0.114184i
$579$		−	45.3240i		−	1.88360i
$580$	−13.6065	−	34.5975i	−0.564979	−	1.43658i
$581$	−4.11464			−0.170704
$582$	−7.15172	−	5.74301i	−0.296448	−	0.238056i
$583$	−5.07244	+	5.07244i	−0.210079	+	0.210079i
$584$	−24.5953	+	8.32695i	−1.01776	+	0.344572i
$585$	−16.2851	−	3.42369i	−0.673305	−	0.141552i
$586$	−0.136184	−	1.24657i	−0.00562572	−	0.0514955i
$587$	21.1579	+	21.1579i	0.873281	+	0.873281i	0.992828	−	0.119548i	$-0.0381444\pi$
$587$	21.1579	+	21.1579i	0.873281	+	0.873281i	−0.119548	+	0.992828i	$0.538144\pi$
$588$	−16.4310	−	10.4801i	−0.677602	−	0.432191i
$589$			1.44668i			0.0596094i
$590$	35.9268	+	20.5471i	1.47908	+	0.845910i
$591$	−46.0945			−1.89608
$592$	7.27096	−	19.9104i	0.298835	−	0.818313i
$593$	3.26613	+	3.26613i	0.134124	+	0.134124i	0.770981	−	0.636858i	$-0.219766\pi$
$593$	3.26613	+	3.26613i	0.134124	+	0.134124i	−0.636858	+	0.770981i	$0.719766\pi$
$594$	−2.96540	+	0.323961i	−0.121672	+	0.0132923i
$595$	−15.9313	+	2.52309i	−0.653118	+	0.103437i
$596$	−2.17699	−	9.84471i	−0.0891730	−	0.403255i
$597$	27.7071	+	27.7071i	1.13397	+	1.13397i
$598$	−2.27733	+	8.71947i	−0.0931271	+	0.356566i
$599$	−6.95501			−0.284174			−0.142087	−	0.989854i	$-0.545381\pi$
$599$	−6.95501			−0.284174			−0.142087	+	0.989854i	$0.545381\pi$
$600$	25.5154	−	19.0205i	1.04166	−	0.776509i
$601$	−2.34998			−0.0958579			−0.0479289	−	0.998851i	$-0.515262\pi$
$601$	−2.34998			−0.0958579			−0.0479289	+	0.998851i	$0.515262\pi$
$602$	15.4738	−	19.2693i	0.630664	−	0.785360i
$603$	−9.76554	+	9.76554i	−0.397684	+	0.397684i
$604$	5.44621	+	24.6287i	0.221603	+	1.00213i
$605$	3.49670	+	22.0788i	0.142161	+	0.897630i
$606$	1.33983	+	12.2642i	0.0544267	+	0.498199i
$607$	11.4273	−	11.4273i	0.463820	−	0.463820i	−0.436085	−	0.899905i	$-0.643635\pi$
$607$	11.4273	−	11.4273i	0.463820	−	0.463820i	0.899905	+	0.436085i	$0.143635\pi$
$608$	−6.77023	+	27.5081i	−0.274569	+	1.11560i
$609$	30.5669			1.23863
$610$	11.5646	−	20.2207i	0.468235	−	0.818713i
$611$	7.67021	+	17.1246i	0.310303	+	0.692786i
$612$	−15.3651	−	9.80024i	−0.621099	−	0.396151i
$613$	17.5720	+	17.5720i	0.709725	+	0.709725i	0.966477	−	0.256752i	$-0.0826524\pi$
$613$	17.5720	+	17.5720i	0.709725	+	0.709725i	−0.256752	+	0.966477i	$0.582652\pi$
$614$	−4.01860	−	36.7846i	−0.162177	−	1.48450i
$615$	−22.9845	−	16.6996i	−0.926826	−	0.673393i
$616$	4.38407	−	1.48426i	0.176639	−	0.0598027i
$617$	−1.31051	+	1.31051i	−0.0527592	+	0.0527592i	−0.732994	−	0.680235i	$-0.761878\pi$
$617$	−1.31051	+	1.31051i	−0.0527592	+	0.0527592i	0.680235	+	0.732994i	$0.261878\pi$
$618$	−0.0489721	+	0.0609845i	−0.00196995	+	0.00245316i
$619$			3.36316i			0.135177i	0.997713	+	0.0675884i	$0.0215305\pi$
$619$			3.36316i			0.135177i	−0.997713	+	0.0675884i	$0.978470\pi$
$620$	1.20227	−	0.472829i	0.0482844	−	0.0189893i
$621$	−3.72242			−0.149376
$622$	13.0256	−	16.2207i	0.522279	−	0.650389i
$623$	14.4304	+	14.4304i	0.578144	+	0.578144i
$624$	−24.5188	−	21.2639i	−0.981538	−	0.851238i
$625$	20.2260	−	14.6938i	0.809042	−	0.587752i
$626$	48.6813	−	5.31827i	1.94569	−	0.212561i
$627$	−7.98073	+	7.98073i	−0.318720	+	0.318720i
$628$	12.9060	−	20.2345i	0.515006	−	0.807443i
$629$	−23.3940			−0.932781
$630$	2.80241	+	10.2904i	0.111651	+	0.409980i
$631$	−21.0999			−0.839972			−0.419986	−	0.907531i	$-0.637965\pi$
$631$	−21.0999			−0.839972			−0.419986	+	0.907531i	$0.637965\pi$
$632$	17.4282	−	35.2695i	0.693258	−	1.40295i
$633$	20.1827	−	20.1827i	0.802189	−	0.802189i
$634$	−32.1068	+	3.50757i	−1.27512	+	0.139303i
$635$	−6.82999	−	4.96239i	−0.271040	−	0.196926i
$636$	−6.96059	−	31.4769i	−0.276005	−	1.24814i
$637$	−5.56249	+	14.5880i	−0.220394	+	0.577999i
$638$	7.37211	−	9.18042i	0.291865	−	0.363456i
$639$		−	8.56374i		−	0.338776i
$640$	25.0735	−	3.36424i	0.991118	−	0.132983i
$641$	11.0927			0.438134			0.219067	−	0.975710i	$-0.429699\pi$
$641$	11.0927			0.438134			0.219067	+	0.975710i	$0.429699\pi$
$642$	−21.4593	−	17.2324i	−0.846932	−	0.680108i
$643$	15.9665	−	15.9665i	0.629657	−	0.629657i	−0.318324	−	0.947982i	$-0.603120\pi$
$643$	15.9665	−	15.9665i	0.629657	−	0.629657i	0.947982	+	0.318324i	$0.103120\pi$
$644$	5.63948	−	1.24708i	0.222227	−	0.0491416i
$645$	53.1529	−	8.41802i	2.09289	−	0.331459i
$646$	31.0810	−	3.39550i	1.22287	−	0.133594i
$647$	17.8371	−	17.8371i	0.701250	−	0.701250i	−0.263429	−	0.964679i	$-0.584853\pi$
$647$	17.8371	−	17.8371i	0.701250	−	0.701250i	0.964679	+	0.263429i	$0.0848534\pi$
$648$	13.6978	−	27.7202i	0.538100	−	1.08895i
$649$			13.1075i			0.514515i
$650$	−19.0538	−	16.9397i	−0.747351	−	0.664430i
$651$			1.06221i			0.0416312i
$652$	−17.4816	−	11.1502i	−0.684632	−	0.436674i
$653$	−30.6085	+	30.6085i	−1.19780	+	1.19780i	−0.222980	+	0.974823i	$0.571578\pi$
$653$	−30.6085	+	30.6085i	−1.19780	+	1.19780i	−0.974823	+	0.222980i	$0.928422\pi$
$654$	1.64024	+	15.0141i	0.0641384	+	0.587096i
$655$	−41.4684	+	6.56751i	−1.62031	+	0.256614i
$656$	−9.52261	−	20.4785i	−0.371795	−	0.799552i
$657$	13.3993	−	13.3993i	0.522755	−	0.522755i
$658$	7.52966	−	9.37662i	0.293537	−	0.365539i
$659$	−18.0735			−0.704042			−0.352021	−	0.935992i	$-0.614505\pi$
$659$	−18.0735			−0.704042			−0.352021	+	0.935992i	$0.614505\pi$
$660$	9.24084	+	4.02403i	0.359699	+	0.156635i
$661$			39.3650i			1.53112i	0.643364	+	0.765561i	$0.277538\pi$
$661$			39.3650i			1.53112i	−0.643364	+	0.765561i	$0.722462\pi$
$662$	31.2404	+	25.0868i	1.21419	+	0.975027i
$663$	−12.7619	+	33.4692i	−0.495633	+	1.29984i
$664$	−2.28404	−	6.74636i	−0.0886379	−	0.261810i
$665$	−14.8026	−	10.7550i	−0.574021	−	0.417060i
$666$	1.67987	+	15.3769i	0.0650938	+	0.595841i
$667$	10.3891	−	10.3891i	0.402266	−	0.402266i
$668$	20.6353	−	32.3527i	0.798403	−	1.25176i
$669$	−32.3105			−1.24920
$670$	−20.4151	+	5.55969i	−0.788704	+	0.214790i
$671$	7.37732			0.284798
$672$	−4.97097	+	20.1975i	−0.191759	+	0.779136i
$673$	0.342425	−	0.342425i	0.0131995	−	0.0131995i	−0.700476	−	0.713676i	$-0.747029\pi$
$673$	0.342425	−	0.342425i	0.0131995	−	0.0131995i	0.713676	+	0.700476i	$0.247029\pi$
$674$	−0.786524	−	7.19951i	−0.0302958	−	0.277315i
$675$	4.78109	−	9.38294i	0.184024	−	0.361150i
$676$	−12.7140	+	22.6794i	−0.488999	+	0.872284i
$677$	−24.6839	−	24.6839i	−0.948681	−	0.948681i	0.0500652	−	0.998746i	$-0.484057\pi$
$677$	−24.6839	−	24.6839i	−0.948681	−	0.948681i	−0.998746	+	0.0500652i	$0.984057\pi$
$678$	−23.5906	−	18.9439i	−0.905992	−	0.727534i
$679$	4.70926			0.180725
$680$	−12.9803	−	24.7203i	−0.497772	−	0.947980i
$681$			34.2774i			1.31351i
$682$	0.319022	+	0.256183i	0.0122160	+	0.00980974i
$683$	23.5902	−	23.5902i	0.902655	−	0.902655i	−0.0930103	−	0.995665i	$-0.529649\pi$
$683$	23.5902	−	23.5902i	0.902655	−	0.902655i	0.995665	+	0.0930103i	$0.0296490\pi$
$684$	−4.46372	−	20.1857i	−0.170675	−	0.771819i
$685$	−2.23881	−	1.62662i	−0.0855404	−	0.0621501i
$686$	26.0266	−	2.84333i	0.993701	−	0.108559i
$687$	−13.0379	−	13.0379i	−0.497428	−	0.497428i
$688$	40.1835	+	14.6744i	1.53198	+	0.559454i
$689$	−23.5694	+	10.5569i	−0.897923	+	0.402185i
$690$	10.9177	+	6.24403i	0.415631	+	0.237706i
$691$	−26.4329			−1.00555			−0.502777	−	0.864416i	$-0.667688\pi$
$691$	−26.4329			−1.00555			−0.502777	+	0.864416i	$0.667688\pi$
$692$	4.42962	+	2.82531i	0.168389	+	0.107402i
$693$	−2.38839	+	2.38839i	−0.0907275	+	0.0907275i
$694$	21.6276	−	2.36274i	0.820971	−	0.0896885i
$695$	3.03379	+	19.1559i	0.115078	+	0.726625i
$696$	16.9677	+	50.1175i	0.643160	+	1.89970i
$697$	−17.6251	+	17.6251i	−0.667599	+	0.667599i
$698$	8.95697	+	7.19267i	0.339026	+	0.272247i
$699$	−42.2878			−1.59947
$700$	−4.09993	+	15.8169i	−0.154963	+	0.597824i
$701$	−16.5669			−0.625722			−0.312861	−	0.949799i	$-0.601287\pi$
$701$	−16.5669			−0.625722			−0.312861	+	0.949799i	$0.601287\pi$
$702$	−10.3908	−	2.71386i	−0.392177	−	0.102428i
$703$	−18.7648	−	18.7648i	−0.707729	−	0.707729i
$704$	4.86719	+	6.36419i	0.183439	+	0.239860i
$705$	25.8646	−	4.09628i	0.974118	−	0.154275i
$706$	−4.05671	−	37.1334i	−0.152676	−	1.39753i
$707$	−4.47898	−	4.47898i	−0.168449	−	0.168449i
$708$	−49.6625	−	31.6759i	−1.86643	−	1.19045i
$709$	−39.7153			−1.49154			−0.745770	−	0.666203i	$-0.767918\pi$
$709$	−39.7153			−1.49154			−0.745770	+	0.666203i	$0.767918\pi$
$710$	6.51360	−	11.3891i	0.244451	−	0.427425i
$711$			28.7092i			1.07668i
$712$	−15.6498	+	31.6705i	−0.586501	+	1.18690i
$713$	0.361022	+	0.361022i	0.0135204	+	0.0135204i
$714$	22.8209	−	2.49311i	0.854051	−	0.0933024i
$715$	1.66120	−	7.90164i	0.0621254	−	0.295505i
$716$	10.7104	+	48.4340i	0.400265	+	1.81006i
$717$	27.4422	−	27.4422i	1.02485	−	1.02485i
$718$	−21.1120	+	26.2906i	−0.787892	+	0.981155i
$719$	5.97682			0.222898			0.111449	−	0.993770i	$-0.464451\pi$
$719$	5.97682			0.222898			0.111449	+	0.993770i	$0.464451\pi$
$720$	−15.3165	+	10.3070i	−0.570813	+	0.384121i
$721$		−	0.0401570i		−	0.00149553i
$722$	6.70331	+	5.38292i	0.249471	+	0.200332i
$723$	−31.5924	+	31.5924i	−1.17493	+	1.17493i
$724$	−3.45586	−	15.6280i	−0.128436	−	0.580809i
$725$	12.8435	+	39.5310i	0.476995	+	1.46814i
$726$	−3.45515	−	31.6270i	−0.128233	−	1.17379i
$727$	18.1517	−	18.1517i	0.673209	−	0.673209i	−0.285246	−	0.958454i	$-0.592075\pi$
$727$	18.1517	−	18.1517i	0.673209	−	0.673209i	0.958454	+	0.285246i	$0.0920752\pi$
$728$	16.6513	+	0.630395i	0.617140	+	0.0233640i
$729$			8.34523i			0.309082i
$730$	28.0114	−	7.62842i	1.03675	−	0.282341i
$731$		−	47.2142i		−	1.74628i
$732$	−17.8282	+	27.9516i	−0.658949	+	1.03312i
$733$	−12.9042	−	12.9042i	−0.476627	−	0.476627i	0.427425	−	0.904051i	$-0.359421\pi$
$733$	−12.9042	−	12.9042i	−0.476627	−	0.476627i	−0.904051	+	0.427425i	$0.859421\pi$
$734$	−16.9017	+	1.84646i	−0.623853	+	0.0681540i
$735$	17.6275	+	12.8074i	0.650202	+	0.472410i
$736$	5.17518	+	8.55424i	0.190760	+	0.315313i
$737$	−4.73832	−	4.73832i	−0.174538	−	0.174538i
$738$	12.8506	+	10.3193i	0.473037	+	0.379860i
$739$			47.6831i			1.75405i	0.480445	+	0.877025i	$0.340475\pi$
$739$			47.6831i			1.75405i	−0.480445	+	0.877025i	$0.659525\pi$
$740$	−9.46158	+	21.7277i	−0.347815	+	0.798726i
$741$	−37.0830	+	16.6097i	−1.36228	+	0.610173i
$742$	12.9055	+	10.3635i	0.473776	+	0.380454i
$743$	−4.23660	+	4.23660i	−0.155426	+	0.155426i	−0.780536	−	0.625111i	$-0.785054\pi$
$743$	−4.23660	+	4.23660i	−0.155426	+	0.155426i	0.625111	+	0.780536i	$0.285054\pi$
$744$	−1.74160	+	0.589633i	−0.0638500	+	0.0216170i
$745$	1.76331	+	11.1339i	0.0646027	+	0.407913i
$746$	−34.3948	+	3.75752i	−1.25928	+	0.137573i
$747$	3.67534	+	3.67534i	0.134474	+	0.134474i
$748$	4.75515	−	7.45528i	0.173866	−	0.272592i
$749$	14.1305			0.516318
$750$	−29.7618	+	19.5000i	−1.08675	+	0.712039i
$751$			33.1141i			1.20835i	0.796851	+	0.604176i	$0.206497\pi$
$751$			33.1141i			1.20835i	−0.796851	+	0.604176i	$0.793503\pi$
$752$	19.5536	+	7.14066i	0.713047	+	0.260393i
$753$	19.0182	−	19.0182i	0.693062	−	0.693062i
$754$	36.5744	−	21.4260i	1.33196	−	0.780288i
$755$	−4.41130	−	27.8537i	−0.160544	−	1.01370i
$756$	1.48612	+	6.72047i	0.0540495	+	0.244421i
$757$	4.76161	+	4.76161i	0.173064	+	0.173064i	0.788324	−	0.615260i	$-0.210949\pi$
$757$	4.76161	+	4.76161i	0.173064	+	0.173064i	−0.615260	+	0.788324i	$0.710949\pi$
$758$	−2.87063	+	3.57476i	−0.104266	+	0.129841i
$759$			3.98322i			0.144582i
$760$	9.41689	−	30.2405i	0.341587	−	1.09694i
$761$		−	14.4698i		−	0.524530i	−0.964996	−	0.262265i	$-0.915531\pi$
$761$		−	14.4698i		−	0.524530i	0.964996	−	0.262265i	$-0.0844694\pi$
$762$	9.36877	+	7.52336i	0.339395	+	0.272542i
$763$	−5.48325	−	5.48325i	−0.198507	−	0.198507i
$764$	34.0455	−	7.52858i	1.23172	−	0.272374i
$765$	16.4841	+	11.9766i	0.595983	+	0.433017i
$766$	−13.4062	+	1.46458i	−0.484385	+	0.0529176i
$767$	−16.8126	+	44.0922i	−0.607067	+	1.59208i
$768$	−35.8752	+	3.06126i	−1.29454	+	0.110464i
$769$	−19.4815			−0.702520			−0.351260	−	0.936278i	$-0.614247\pi$
$769$	−19.4815			−0.702520			−0.351260	+	0.936278i	$0.614247\pi$
$770$	−4.99299	+	1.35975i	−0.179935	+	0.0490021i
$771$		−	1.62402i		−	0.0584875i
$772$	−21.6616	+	33.9617i	−0.779617	+	1.22231i
$773$	−10.9215	−	10.9215i	−0.392819	−	0.392819i	0.482872	−	0.875691i	$-0.339594\pi$
$773$	−10.9215	−	10.9215i	−0.392819	−	0.392819i	−0.875691	+	0.482872i	$0.839594\pi$
$774$	−31.0338	+	3.39034i	−1.11549	+	0.121863i
$775$	−1.37371	+	0.446314i	−0.0493452	+	0.0160321i
$776$	2.61411	+	7.72129i	0.0938411	+	0.277178i
$777$	−13.7779	−	13.7779i	−0.494279	−	0.494279i
$778$	−13.3035	+	16.5668i	−0.476954	+	0.593947i
$779$	−28.2750			−1.01306
$780$	25.9237	+	25.3894i	0.928218	+	0.909085i
$781$	4.15519			0.148684
$782$	6.90899	−	8.60370i	0.247065	−	0.307668i
$783$	12.3804	+	12.3804i	0.442441	+	0.442441i
$784$	7.30318	+	15.7056i	0.260828	+	0.560915i
$785$	−15.7722	+	21.7080i	−0.562932	+	0.774793i
$786$	59.4019	−	6.48947i	2.11880	−	0.231472i
$787$	−20.3710	−	20.3710i	−0.726146	−	0.726146i	0.243704	−	0.969850i	$-0.421638\pi$
$787$	−20.3710	−	20.3710i	−0.726146	−	0.726146i	−0.969850	+	0.243704i	$0.921638\pi$
$788$	34.5391	+	22.0298i	1.23040	+	0.784780i
$789$			68.3274i			2.43252i
$790$	−21.8363	+	38.1809i	−0.776900	+	1.35842i
$791$	15.5339			0.552322
$792$	−5.24180	−	2.59021i	−0.186259	−	0.0920390i
$793$	24.8165	+	9.46265i	0.881260	+	0.336029i
$794$	25.9337	−	2.83318i	0.920354	−	0.100546i
$795$	5.63791	+	35.5988i	0.199956	+	1.26256i
$796$	−7.51921	−	34.0031i	−0.266511	−	1.20521i
$797$	33.0775	+	33.0775i	1.17167	+	1.17167i	0.981812	+	0.189854i	$0.0608013\pi$
$797$	33.0775	+	33.0775i	1.17167	+	1.17167i	0.189854	+	0.981812i	$0.439199\pi$
$798$	20.3049	+	16.3054i	0.718786	+	0.577203i
$799$		−	22.9748i		−	0.812790i
$800$	−28.2093	+	2.05775i	−0.997350	+	0.0727526i
$801$		−	25.7796i		−	0.910876i
$802$	−9.67714	+	12.0509i	−0.341712	+	0.425531i
$803$	6.50142	+	6.50142i	0.229430	+	0.229430i
$804$	29.4035	−	6.50209i	1.03698	−	0.229311i
$805$	−6.37796	+	1.01010i	−0.224794	+	0.0356014i
$806$	0.744558	+	1.27097i	0.0262260	+	0.0447680i
$807$	−0.726700	+	0.726700i	−0.0255810	+	0.0255810i
$808$	4.85745	−	9.83001i	0.170884	−	0.345819i
$809$		−	32.4000i		−	1.13912i	−0.821949	−	0.569561i	$-0.807113\pi$
$809$		−	32.4000i		−	1.13912i	0.821949	−	0.569561i	$-0.192887\pi$
$810$	−17.1623	+	30.0084i	−0.603021	+	1.05439i
$811$	−13.9272			−0.489052			−0.244526	−	0.969643i	$-0.578632\pi$
$811$	−13.9272			−0.489052			−0.244526	+	0.969643i	$0.578632\pi$
$812$	−22.9041	−	14.6088i	−0.803776	−	0.512667i
$813$	−10.5386	−	10.5386i	−0.369606	−	0.369606i
$814$	−7.46097	+	0.815087i	−0.261507	+	0.0285688i
$815$	18.7547	+	13.6264i	0.656948	+	0.477311i
$816$	16.7556	+	36.0332i	0.586563	+	1.26141i
$817$	37.8715	−	37.8715i	1.32495	−	1.32495i
$818$	−31.7916	−	25.5294i	−1.11157	−	0.892616i
$819$	−11.0978	+	4.97078i	−0.387789	+	0.173693i
$820$	9.24133	+	23.4981i	0.322721	+	0.820589i
$821$		−	11.6823i		−	0.407717i	−0.979000	−	0.203858i	$-0.934652\pi$
$821$		−	11.6823i		−	0.407717i	0.979000	−	0.203858i	$-0.0653482\pi$
$822$	3.07099	+	2.46609i	0.107113	+	0.0860146i
$823$	−5.22036	−	5.22036i	−0.181970	−	0.181970i	0.610244	−	0.792214i	$-0.291072\pi$
$823$	−5.22036	−	5.22036i	−0.181970	−	0.181970i	−0.792214	+	0.610244i	$0.791072\pi$
$824$	0.0658414	−	0.0222912i	0.00229369	−	0.000776550i
$825$	−10.0403	−	5.11607i	−0.349560	−	0.178119i
$826$	30.0642	−	3.28442i	1.04607	−	0.114280i
$827$	25.2929	+	25.2929i	0.879522	+	0.879522i	0.993485	−	0.113963i	$-0.0363546\pi$
$827$	25.2929	+	25.2929i	0.879522	+	0.879522i	−0.113963	+	0.993485i	$0.536355\pi$
$828$	−6.15132	−	3.92345i	−0.213773	−	0.136349i
$829$			15.7376i			0.546591i	0.961930	+	0.273295i	$0.0881137\pi$
$829$			15.7376i			0.546591i	−0.961930	+	0.273295i	$0.911886\pi$
$830$	2.09244	+	7.68339i	0.0726295	+	0.266694i
$831$		−	52.5637i		−	1.82341i
$832$	8.20957	+	27.6515i	0.284616	+	0.958642i
$833$	13.5173	−	13.5173i	0.468345	−	0.468345i
$834$	−2.99775	−	27.4401i	−0.103803	−	0.950173i
$835$	−25.2179	+	34.7087i	−0.872702	+	1.20114i
$836$	9.79424	−	2.16583i	0.338741	−	0.0749068i
$837$	−0.430224	+	0.430224i	−0.0148707	+	0.0148707i
$838$	27.6195	+	22.1792i	0.954101	+	0.766167i
$839$			15.0154i			0.518389i	0.965825	+	0.259194i	$0.0834570\pi$
$839$			15.0154i			0.518389i	−0.965825	+	0.259194i	$0.916543\pi$
$840$	6.91426	−	22.2037i	0.238565	−	0.766102i
$841$	−40.1062			−1.38297
$842$	24.4926	−	30.5005i	0.844072	−	1.05112i
$843$	−13.3771	+	13.3771i	−0.460732	+	0.460732i
$844$	−24.7689	+	5.47722i	−0.852580	+	0.188534i
$845$	15.7233	−	24.4495i	0.540897	−	0.841089i
$846$	−15.1013	+	1.64977i	−0.519193	+	0.0567202i
$847$	11.5504	+	11.5504i	0.396877	+	0.396877i
$848$	−9.82805	+	26.9126i	−0.337496	+	0.924183i
$849$		−	8.38790i		−	0.287872i
$850$	12.8130	+	28.4658i	0.439484	+	0.976370i
$851$	−9.36562			−0.321049
$852$	−10.0415	+	15.7434i	−0.344017	+	0.539361i
$853$	−29.4224	−	29.4224i	−1.00740	−	1.00740i	−0.999972	−	0.00743020i	$-0.997635\pi$
$853$	−29.4224	−	29.4224i	−1.00740	−	1.00740i	−0.00743020	−	0.999972i	$-0.502365\pi$
$854$	−1.84858	−	16.9211i	−0.0632570	−	0.579028i
$855$	3.61551	+	22.8290i	0.123648	+	0.780734i
$856$	7.84385	+	23.1684i	0.268097	+	0.791879i
$857$	−9.77983	−	9.77983i	−0.334073	−	0.334073i	0.520058	−	0.854131i	$-0.325910\pi$
$857$	−9.77983	−	9.77983i	−0.334073	−	0.334073i	−0.854131	+	0.520058i	$0.825910\pi$
$858$	−2.90400	+	11.1188i	−0.0991408	+	0.379591i
$859$	2.40710			0.0821291			0.0410646	−	0.999156i	$-0.486925\pi$
$859$	2.40710			0.0821291			0.0410646	+	0.999156i	$0.486925\pi$
$860$	−43.8512	−	19.0955i	−1.49531	−	0.651151i
$861$	−20.7606			−0.707520
$862$	10.7432	+	8.62703i	0.365914	+	0.293838i
$863$	−27.0230	+	27.0230i	−0.919873	+	0.919873i	−0.997020	−	0.0771465i	$-0.975419\pi$
$863$	−27.0230	+	27.0230i	−0.919873	+	0.919873i	0.0771465	+	0.997020i	$0.475419\pi$
$864$	−10.1939	+	6.16717i	−0.346804	+	0.209811i
$865$	−4.75220	−	3.45275i	−0.161580	−	0.117397i
$866$	−16.7792	+	1.83308i	−0.570182	+	0.0622906i
$867$	3.96145	−	3.96145i	0.134538	−	0.134538i
$868$	0.507658	−	0.795923i	0.0172310	−	0.0270154i
$869$	−13.9299			−0.472540
$870$	−15.5443	−	57.0785i	−0.527002	−	1.93514i
$871$	−9.86150	−	22.0169i	−0.334144	−	0.746013i
$872$	5.94658	−	12.0341i	0.201377	−	0.407526i
$873$	−4.20648	−	4.20648i	−0.142368	−	0.142368i
$874$	12.4431	−	1.35936i	0.420893	−	0.0459812i
$875$	5.64577	−	17.3740i	0.190862	−	0.587349i
$876$	−40.3444	+	8.92149i	−1.36311	+	0.301429i
$877$	−11.3985	+	11.3985i	−0.384900	+	0.384900i	−0.872864	−	0.487964i	$-0.837740\pi$
$877$	−11.3985	+	11.3985i	−0.384900	+	0.384900i	0.487964	+	0.872864i	$0.337740\pi$
$878$	−21.8004	−	17.5063i	−0.735728	−	0.590808i
$879$		−	1.99540i		−	0.0673030i
$880$	−5.00106	−	7.43169i	−0.168586	−	0.250522i
$881$	20.6377			0.695303			0.347652	−	0.937624i	$-0.386979\pi$
$881$	20.6377			0.695303			0.347652	+	0.937624i	$0.386979\pi$
$882$	−9.85551	−	7.91422i	−0.331852	−	0.266486i
$883$	−39.7368	−	39.7368i	−1.33725	−	1.33725i	−0.898712	−	0.438540i	$-0.855496\pi$
$883$	−39.7368	−	39.7368i	−1.33725	−	1.33725i	−0.438540	−	0.898712i	$-0.644504\pi$
$884$	25.5585	−	18.9795i	0.859624	−	0.638349i
$885$	53.2791	+	38.7104i	1.79096	+	1.30124i
$886$	−2.51893	−	23.0572i	−0.0846251	−	0.774623i
$887$	7.65630	−	7.65630i	0.257073	−	0.257073i	−0.566789	−	0.823863i	$-0.691815\pi$
$887$	7.65630	−	7.65630i	0.257073	−	0.257073i	0.823863	+	0.566789i	$0.191815\pi$
$888$	14.9421	−	30.2383i	0.501424	−	1.01473i
$889$	−6.16914			−0.206906
$890$	19.6080	−	34.2848i	0.657262	−	1.14923i
$891$	−10.9483			−0.366780
$892$	24.2106	+	15.4421i	0.810630	+	0.517039i
$893$	18.4286	−	18.4286i	0.616688	−	0.616688i
$894$	−1.74236	−	15.9488i	−0.0582732	−	0.533409i
$895$	−8.67514	−	54.7764i	−0.289978	−	1.83097i
$896$	13.3777	−	12.7584i	0.446919	−	0.426229i
$897$	−5.10915	+	13.3991i	−0.170590	+	0.447384i
$898$	−25.4917	−	20.4705i	−0.850670	−	0.683109i
$899$		−	2.40146i		−	0.0800931i
$900$	17.7905	−	10.4661i	0.593015	−	0.348869i
$901$	31.6214			1.05346
$902$	−5.00703	+	6.23520i	−0.166716	+	0.207610i
$903$	27.8067	−	27.8067i	0.925350	−	0.925350i
$904$	8.62288	+	25.4694i	0.286793	+	0.847099i
$905$	2.79916	+	17.6744i	0.0930474	+	0.587518i
$906$	4.35889	+	39.8994i	0.144814	+	1.32557i
$907$	−20.0975	+	20.0975i	−0.667327	+	0.667327i	−0.957096	−	0.289770i	$-0.906421\pi$
$907$	−20.0975	+	20.0975i	−0.667327	+	0.667327i	0.289770	+	0.957096i	$0.406421\pi$
$908$	16.3821	−	25.6843i	0.543658	−	0.852365i
$909$			8.00157i			0.265395i
$910$	−18.5400	−	1.83028i	−0.614594	−	0.0606732i
$911$			19.1370i			0.634036i	0.948420	+	0.317018i	$0.102682\pi$
$911$			19.1370i			0.634036i	−0.948420	+	0.317018i	$0.897318\pi$
$912$	−15.4630	+	42.3430i	−0.512030	+	1.40212i
$913$	−1.78330	+	1.78330i	−0.0590188	+	0.0590188i
$914$	−17.0560	+	1.86331i	−0.564161	+	0.0616328i
$915$	21.7874	−	29.9872i	0.720271	−	0.991346i
$916$	3.53826	+	16.0006i	0.116907	+	0.528675i
$917$	−21.6941	+	21.6941i	−0.716401	+	0.716401i
$918$	10.2529	+	8.23331i	0.338395	+	0.271740i
$919$	19.5027			0.643336			0.321668	−	0.946853i	$-0.395757\pi$
$919$	19.5027			0.643336			0.321668	+	0.946853i	$0.395757\pi$
$920$	−5.19657	−	9.89659i	−0.171326	−	0.326281i
$921$		−	58.8812i		−	1.94020i
$922$	−13.8804	+	17.2851i	−0.457125	+	0.569254i
$923$	13.9776	+	5.32973i	0.460079	+	0.175430i
$924$	7.19132	−	1.59024i	0.236577	−	0.0523150i
$925$	12.0293	−	23.6075i	0.395519	−	0.776211i
$926$	−44.9696	+	4.91279i	−1.47779	+	0.161444i
$927$	−0.0358697	+	0.0358697i	−0.00117811	+	0.00117811i
$928$	11.2384	−	45.6628i	0.368920	−	1.49896i
$929$	8.21752			0.269608			0.134804	−	0.990872i	$-0.456960\pi$
$929$	8.21752			0.269608			0.134804	+	0.990872i	$0.456960\pi$
$930$	1.98349	−	0.540170i	0.0650413	−	0.0177129i
$931$	21.6849			0.710695
$932$	31.6866	+	20.2105i	1.03793	+	0.662016i
$933$	23.4073	−	23.4073i	0.766321	−	0.766321i
$934$	10.9870	−	1.20030i	0.359506	−	0.0392749i
$935$	−5.81116	+	7.99820i	−0.190045	+	0.261569i
$936$	−14.3105	−	15.4367i	−0.467753	−	0.504563i
$937$	−23.9181	−	23.9181i	−0.781371	−	0.781371i	0.198691	−	0.980062i	$-0.436331\pi$
$937$	−23.9181	−	23.9181i	−0.781371	−	0.781371i	−0.980062	+	0.198691i	$0.936331\pi$
$938$	−9.68081	+	12.0554i	−0.316090	+	0.393623i
$939$	77.9243			2.54296
$940$	−21.3383	−	9.29202i	−0.695980	−	0.303072i
$941$			26.8793i			0.876240i	0.898917	+	0.438120i	$0.144355\pi$
$941$			26.8793i			0.876240i	−0.898917	+	0.438120i	$0.855645\pi$
$942$	23.9118	−	29.7771i	0.779088	−	0.970191i
$943$	−7.05609	+	7.05609i	−0.229778	+	0.229778i
$944$	22.0738	+	47.4701i	0.718441	+	1.54502i
$945$	−1.20372	−	7.60050i	−0.0391570	−	0.247244i
$946$	−1.64502	−	15.0578i	−0.0534842	−	0.489572i
$947$	−4.82725	−	4.82725i	−0.156865	−	0.156865i	0.624311	−	0.781176i	$-0.285380\pi$
$947$	−4.82725	−	4.82725i	−0.156865	−	0.156865i	−0.781176	+	0.624311i	$0.785380\pi$
$948$	33.6633	−	52.7785i	1.09333	−	1.71417i
$949$	13.5309	+	30.2092i	0.439232	+	0.980633i
$950$	−12.5554	+	33.1106i	−0.407352	+	1.07425i
$951$	−51.3935			−1.66655
$952$	−18.2914	−	9.03862i	−0.592829	−	0.292943i
$953$	0.799613	−	0.799613i	0.0259020	−	0.0259020i	−0.694037	−	0.719939i	$-0.744170\pi$
$953$	0.799613	−	0.799613i	0.0259020	−	0.0259020i	0.719939	+	0.694037i	$0.244170\pi$
$954$	−2.27066	−	20.7847i	−0.0735153	−	0.672928i
$955$	−38.5037	+	6.09797i	−1.24595	+	0.197326i
$956$	−33.6780	+	7.44732i	−1.08923	+	0.240864i
$957$	13.2479	−	13.2479i	0.428242	−	0.428242i
$958$	−2.83895	+	3.53532i	−0.0917222	+	0.114221i
$959$	−2.02218			−0.0652998
$960$	40.2433	−	0.988697i	1.29885	−	0.0319101i
$961$	−30.9165			−0.997308
$962$	−26.1434	−	6.82807i	−0.842896	−	0.220146i
$963$	−12.6219	−	12.6219i	−0.406734	−	0.406734i
$964$	38.7713	−	8.57362i	1.24874	−	0.276138i
$965$	26.4721	−	36.4349i	0.852168	−	1.17288i
$966$	9.13618	−	0.998099i	0.293952	−	0.0321133i
$967$	13.2019	+	13.2019i	0.424546	+	0.424546i	0.886766	−	0.462220i	$-0.152947\pi$
$967$	13.2019	+	13.2019i	0.424546	+	0.424546i	−0.462220	+	0.886766i	$0.652947\pi$
$968$	−12.5264	+	25.3497i	−0.402614	+	0.814770i
$969$	49.7515			1.59825
$970$	−2.39482	−	8.79373i	−0.0768930	−	0.282350i
$971$			44.3991i			1.42484i	0.701756	+	0.712418i	$0.252400\pi$
$971$			44.3991i			1.42484i	−0.701756	+	0.712418i	$0.747600\pi$
$972$	19.6622	−	30.8271i	0.630667	−	0.988780i
$973$	10.0213	+	10.0213i	0.321269	+	0.321269i
$974$	−2.28720	−	20.9361i	−0.0732866	−	0.670835i
$975$	−27.2124	−	30.0883i	−0.871494	−	0.963598i
$976$	26.7177	−	12.4238i	0.855212	−	0.397677i
$977$	−8.94867	+	8.94867i	−0.286293	+	0.286293i	−0.835613	−	0.549319i	$-0.814887\pi$
$977$	−8.94867	+	8.94867i	−0.286293	+	0.286293i	0.549319	+	0.835613i	$0.314887\pi$
$978$	−25.7260	−	20.6586i	−0.822626	−	0.660590i
$979$	12.5084			0.399772
$980$	−7.08746	−	18.0214i	−0.226401	−	0.575673i
$981$			9.79567i			0.312752i
$982$	−4.24585	+	5.28732i	−0.135490	+	0.168725i
$983$	−15.0935	+	15.0935i	−0.481408	+	0.481408i	−0.905581	−	0.424173i	$-0.860565\pi$
$983$	−15.0935	+	15.0935i	−0.481408	+	0.481408i	0.424173	+	0.905581i	$0.360565\pi$
$984$	−11.5242	−	34.0391i	−0.367379	−	1.08513i
$985$	−37.0543	−	26.9221i	−1.18065	−	0.857810i
$986$	−51.5938	+	5.63647i	−1.64308	+	0.179502i
$987$	13.5310	−	13.5310i	0.430696	−	0.430696i
$988$	35.7248	+	5.27714i	1.13656	+	0.167888i
$989$		−	18.9018i		−	0.601043i
$990$	5.67449	+	3.24533i	0.180347	+	0.103143i
$991$			3.15639i			0.100266i	0.998743	+	0.0501330i	$0.0159645\pi$
$991$			3.15639i			0.100266i	−0.998743	+	0.0501330i	$0.984035\pi$
$992$	1.58680	+	0.390539i	0.0503808	+	0.0123996i
$993$	45.0816	+	45.0816i	1.43062	+	1.43062i
$994$	−1.04119	−	9.53062i	−0.0330245	−	0.302293i
$995$	6.09038	+	38.4558i	0.193078	+	1.21913i
$996$	−2.44712	−	11.0663i	−0.0775399	−	0.350648i
$997$	4.47950	+	4.47950i	0.141867	+	0.141867i	0.774474	−	0.632606i	$-0.218015\pi$
$997$	4.47950	+	4.47950i	0.141867	+	0.141867i	−0.632606	+	0.774474i	$0.718015\pi$
$998$	−26.6671	+	33.2083i	−0.844133	+	1.05119i
$999$		−	11.1608i		−	0.353113i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.p.d.207.8	yes	64
4.3	odd	2	inner	260.2.p.d.207.24	yes	64
5.3	odd	4	inner	260.2.p.d.103.9	yes	64
13.12	even	2	inner	260.2.p.d.207.25	yes	64
20.3	even	4	inner	260.2.p.d.103.25	yes	64
52.51	odd	2	inner	260.2.p.d.207.9	yes	64
65.38	odd	4	inner	260.2.p.d.103.24	yes	64
260.103	even	4	inner	260.2.p.d.103.8	✓	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.p.d.103.8	✓	64	260.103	even	4	inner
260.2.p.d.103.9	yes	64	5.3	odd	4	inner
260.2.p.d.103.24	yes	64	65.38	odd	4	inner
260.2.p.d.103.25	yes	64	20.3	even	4	inner
260.2.p.d.207.8	yes	64	1.1	even	1	trivial
260.2.p.d.207.9	yes	64	52.51	odd	2	inner
260.2.p.d.207.24	yes	64	4.3	odd	2	inner
260.2.p.d.207.25	yes	64	13.12	even	2	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.p (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.10269 - 0.885485i) q^{2} +(-1.59124 - 1.59124i) q^{3} +(0.431834 + 1.95282i) q^{4} +(-0.349775 - 2.20854i) q^{5} +(0.345619 + 3.16365i) q^{6} +(-1.15539 - 1.15539i) q^{7} +(1.25302 - 2.53573i) q^{8} +2.06407i q^{9} +O(q^{10})\)	\(q+(-1.10269 - 0.885485i) q^{2} +(-1.59124 - 1.59124i) q^{3} +(0.431834 + 1.95282i) q^{4} +(-0.349775 - 2.20854i) q^{5} +(0.345619 + 3.16365i) q^{6} +(-1.15539 - 1.15539i) q^{7} +(1.25302 - 2.53573i) q^{8} +2.06407i q^{9} +(-1.56994 + 2.74505i) q^{10} -1.00150 q^{11} +(2.42026 - 3.79455i) q^{12} +(-3.36895 - 1.28460i) q^{13} +(0.250952 + 2.29711i) q^{14} +(-2.95774 + 4.07089i) q^{15} +(-3.62704 + 1.68659i) q^{16} +(3.12166 + 3.12166i) q^{17} +(1.82770 - 2.27602i) q^{18} +5.00790i q^{19} +(4.16185 - 1.63677i) q^{20} +3.67700i q^{21} +(1.10434 + 0.886815i) q^{22} +(1.24973 + 1.24973i) q^{23} +(-6.02880 + 2.04110i) q^{24} +(-4.75531 + 1.54499i) q^{25} +(2.57740 + 4.39966i) q^{26} +(-1.48928 + 1.48928i) q^{27} +(1.75734 - 2.75521i) q^{28} -8.31301i q^{29} +(6.86617 - 1.86988i) q^{30} +0.288879 q^{31} +(5.49294 + 1.35191i) q^{32} +(1.59363 + 1.59363i) q^{33} +(-0.678029 - 6.20640i) q^{34} +(-2.14760 + 2.95585i) q^{35} +(-4.03077 + 0.891335i) q^{36} +(-3.74705 + 3.74705i) q^{37} +(4.43442 - 5.52214i) q^{38} +(3.31670 + 7.40489i) q^{39} +(-6.03855 - 1.88041i) q^{40} +5.64607i q^{41} +(3.25593 - 4.05458i) q^{42} +(-7.56234 - 7.56234i) q^{43} +(-0.432483 - 1.95576i) q^{44} +(4.55859 - 0.721961i) q^{45} +(-0.271444 - 2.48468i) q^{46} +(-3.67990 - 3.67990i) q^{47} +(8.45524 + 3.08772i) q^{48} -4.33015i q^{49} +(6.61168 + 2.50712i) q^{50} -9.93461i q^{51} +(1.05376 - 7.13369i) q^{52} +(5.06483 - 5.06483i) q^{53} +(2.96095 - 0.323475i) q^{54} +(0.350301 + 2.21186i) q^{55} +(-4.37749 + 1.48204i) q^{56} +(7.96876 - 7.96876i) q^{57} +(-7.36105 + 9.16664i) q^{58} -13.0878i q^{59} +(-9.22698 - 4.01800i) q^{60} -7.36625 q^{61} +(-0.318543 - 0.255798i) q^{62} +(2.38481 - 2.38481i) q^{63} +(-4.85989 - 6.35464i) q^{64} +(-1.65871 + 7.88978i) q^{65} +(-0.346138 - 3.16841i) q^{66} +(4.73121 + 4.73121i) q^{67} +(-4.74802 + 7.44409i) q^{68} -3.97725i q^{69} +(4.98549 - 1.35771i) q^{70} -4.14895 q^{71} +(5.23393 + 2.58632i) q^{72} +(-6.49166 - 6.49166i) q^{73} +(7.44977 - 0.813864i) q^{74} +(10.0253 + 5.10839i) q^{75} +(-9.77955 + 2.16258i) q^{76} +(1.15713 + 1.15713i) q^{77} +(2.89964 - 11.1022i) q^{78} +13.9090 q^{79} +(4.99355 + 7.42054i) q^{80} +10.9318 q^{81} +(4.99951 - 6.22585i) q^{82} +(1.78063 - 1.78063i) q^{83} +(-7.18053 + 1.58785i) q^{84} +(5.80244 - 7.98620i) q^{85} +(1.64255 + 15.0352i) q^{86} +(-13.2280 + 13.2280i) q^{87} +(-1.25490 + 2.53954i) q^{88} -12.4897 q^{89} +(-5.66598 - 3.24046i) q^{90} +(2.40824 + 5.37666i) q^{91} +(-1.90083 + 2.98019i) q^{92} +(-0.459675 - 0.459675i) q^{93} +(0.799279 + 7.31627i) q^{94} +(11.0602 - 1.75164i) q^{95} +(-6.58935 - 10.8918i) q^{96} +(-2.03795 + 2.03795i) q^{97} +(-3.83428 + 4.77479i) q^{98} -2.06717i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q+O(q^{10}) \) 64 * q	\( 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) \) 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

Introduction

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