LMFDB - Embedded newform 296.2.q.a.101.35

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(85,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(6)) chi = DirichletCharacter(H, H._module([0, 3, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.85"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 296 = 2^{3} \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	296.q (of order $6$, degree $2$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			101.35
Character	$\chi$	$=$	296.101
Dual form			296.2.q.a.85.35

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.38035 - 0.307640i) q^{2} +(0.600244 - 0.346551i) q^{3} +(1.81072 - 0.849299i) q^{4} +(1.31034 + 2.26957i) q^{5} +(0.721932 - 0.663020i) q^{6} +(-1.74382 - 3.02039i) q^{7} +(2.23814 - 1.72938i) q^{8} +(-1.25980 + 2.18205i) q^{9} +(2.50693 + 2.72968i) q^{10} -1.40440i q^{11} +(0.792546 - 1.13729i) q^{12} +(2.32009 + 4.01851i) q^{13} +(-3.33627 - 3.63272i) q^{14} +(1.57304 + 0.908198i) q^{15} +(2.55738 - 3.07568i) q^{16} +(-5.28425 - 3.05086i) q^{17} +(-1.06768 + 3.39955i) q^{18} +(-1.73592 - 3.00670i) q^{19} +(4.30019 + 2.99668i) q^{20} +(-2.09344 - 1.20865i) q^{21} +(-0.432049 - 1.93856i) q^{22} +6.02292i q^{23} +(0.744112 - 1.81368i) q^{24} +(-0.933966 + 1.61768i) q^{25} +(4.43878 + 4.83318i) q^{26} +3.82565i q^{27} +(-5.72278 - 3.98804i) q^{28} -6.17494 q^{29} +(2.45074 + 0.769697i) q^{30} +1.36885i q^{31} +(2.58387 - 5.03226i) q^{32} +(-0.486696 - 0.842982i) q^{33} +(-8.23266 - 2.58560i) q^{34} +(4.56999 - 7.91546i) q^{35} +(-0.427938 + 5.02101i) q^{36} +(5.70217 - 2.11785i) q^{37} +(-3.32115 - 3.61625i) q^{38} +(2.78524 + 1.60806i) q^{39} +(6.85765 + 2.81354i) q^{40} +(-3.13563 - 5.43107i) q^{41} +(-3.26150 - 1.02433i) q^{42} +2.90404 q^{43} +(-1.19275 - 2.54296i) q^{44} -6.60307 q^{45} +(1.85289 + 8.31372i) q^{46} -8.48133 q^{47} +(0.469173 - 2.73242i) q^{48} +(-2.58184 + 4.47188i) q^{49} +(-0.791535 + 2.52028i) q^{50} -4.22912 q^{51} +(7.61393 + 5.30593i) q^{52} +(2.05008 + 1.18361i) q^{53} +(1.17692 + 5.28073i) q^{54} +(3.18738 - 1.84023i) q^{55} +(-9.12631 - 3.74432i) q^{56} +(-2.08395 - 1.20317i) q^{57} +(-8.52355 + 1.89966i) q^{58} +(-1.01427 + 1.75677i) q^{59} +(3.61967 + 0.308502i) q^{60} +(6.65507 + 11.5269i) q^{61} +(0.421112 + 1.88949i) q^{62} +8.78751 q^{63} +(2.01852 - 7.74116i) q^{64} +(-6.08019 + 10.5312i) q^{65} +(-0.931144 - 1.01388i) q^{66} +(-4.98642 + 2.87891i) q^{67} +(-12.1594 - 1.03633i) q^{68} +(2.08725 + 3.61522i) q^{69} +(3.87306 - 12.3320i) q^{70} +(3.65561 + 6.33170i) q^{71} +(0.953961 + 7.06239i) q^{72} -10.9720 q^{73} +(7.21943 - 4.67758i) q^{74} +1.29467i q^{75} +(-5.69684 - 3.96996i) q^{76} +(-4.24183 + 2.44902i) q^{77} +(4.33930 + 1.36283i) q^{78} +(7.01349 - 4.04924i) q^{79} +(10.3315 + 1.77398i) q^{80} +(-2.45363 - 4.24981i) q^{81} +(-5.99907 - 6.53212i) q^{82} +(-8.75178 - 5.05285i) q^{83} +(-4.81713 - 0.410561i) q^{84} -15.9906i q^{85} +(4.00858 - 0.893397i) q^{86} +(-3.70647 + 2.13993i) q^{87} +(-2.42873 - 3.14324i) q^{88} +(15.2905 + 8.82800i) q^{89} +(-9.11453 + 2.03137i) q^{90} +(8.09164 - 14.0151i) q^{91} +(5.11526 + 10.9058i) q^{92} +(0.474376 + 0.821644i) q^{93} +(-11.7072 + 2.60920i) q^{94} +(4.54927 - 7.87957i) q^{95} +(-0.192980 - 3.91603i) q^{96} -5.77275i q^{97} +(-2.18811 + 6.96702i) q^{98} +(3.06446 + 1.76927i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) $ 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$.

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$-1$	$1$

Coefficient data

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

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

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

$2$	1.38035	−	0.307640i	0.976053	−	0.217534i
$2$	1.38035	−	0.307640i	0.976053	−	0.217534i
$3$	0.600244	−	0.346551i	0.346551	−	0.200081i	−0.316614	−	0.948554i	$-0.602546\pi$
$3$	0.600244	−	0.346551i	0.346551	−	0.200081i	0.663165	+	0.748473i	$0.269213\pi$
$4$	1.81072	−	0.849299i	0.905358	−	0.424650i
$5$	1.31034	+	2.26957i	0.586001	+	1.01498i	0.994750	+	0.102336i	$0.0326317\pi$
$5$	1.31034	+	2.26957i	0.586001	+	1.01498i	−0.408749	+	0.912647i	$0.634035\pi$
$6$	0.721932	−	0.663020i	0.294728	−	0.270677i
$7$	−1.74382	−	3.02039i	−0.659103	−	1.14160i	−0.980848	−	0.194774i	$-0.937603\pi$
$7$	−1.74382	−	3.02039i	−0.659103	−	1.14160i	0.321745	−	0.946826i	$-0.395731\pi$
$8$	2.23814	−	1.72938i	0.791301	−	0.611427i
$9$	−1.25980	+	2.18205i	−0.419935	+	0.727348i
$10$	2.50693	+	2.72968i	0.792761	+	0.863201i
$11$		−	1.40440i		−	0.423442i	−0.977330	−	0.211721i	$-0.932093\pi$
$11$		−	1.40440i		−	0.423442i	0.977330	−	0.211721i	$-0.0679068\pi$
$12$	0.792546	−	1.13729i	0.228788	−	0.328308i
$13$	2.32009	+	4.01851i	0.643476	+	1.11453i	0.984651	+	0.174534i	$0.0558418\pi$
$13$	2.32009	+	4.01851i	0.643476	+	1.11453i	−0.341175	+	0.940000i	$0.610825\pi$
$14$	−3.33627	−	3.63272i	−0.891657	−	0.970885i
$15$	1.57304	+	0.908198i	0.406158	+	0.234496i
$16$	2.55738	−	3.07568i	0.639345	−	0.768920i
$17$	−5.28425	−	3.05086i	−1.28162	−	0.739943i	−0.304474	−	0.952521i	$-0.598481\pi$
$17$	−5.28425	−	3.05086i	−1.28162	−	0.739943i	−0.977144	+	0.212578i	$0.931814\pi$
$18$	−1.06768	+	3.39955i	−0.251655	+	0.801281i
$19$	−1.73592	−	3.00670i	−0.398247	−	0.689784i	0.595263	−	0.803531i	$-0.297048\pi$
$19$	−1.73592	−	3.00670i	−0.398247	−	0.689784i	−0.993510	+	0.113747i	$0.963715\pi$
$20$	4.30019	+	2.99668i	0.961552	+	0.670078i
$21$	−2.09344	−	1.20865i	−0.456826	−	0.263749i
$22$	−0.432049	−	1.93856i	−0.0921131	−	0.413302i
$23$			6.02292i			1.25587i	0.778268	+	0.627933i	$0.216099\pi$
$23$			6.02292i			1.25587i	−0.778268	+	0.627933i	$0.783901\pi$
$24$	0.744112	−	1.81368i	0.151891	−	0.370215i
$25$	−0.933966	+	1.61768i	−0.186793	+	0.323535i
$26$	4.43878	+	4.83318i	0.870516	+	0.947865i
$27$			3.82565i			0.736247i
$28$	−5.72278	−	3.98804i	−1.08150	−	0.753669i
$29$	−6.17494			−1.14666			−0.573328	−	0.819326i	$-0.694348\pi$
$29$	−6.17494			−1.14666			−0.573328	+	0.819326i	$0.694348\pi$
$30$	2.45074	+	0.769697i	0.447443	+	0.140527i
$31$			1.36885i			0.245852i	0.992416	+	0.122926i	$0.0392279\pi$
$31$			1.36885i			0.245852i	−0.992416	+	0.122926i	$0.960772\pi$
$32$	2.58387	−	5.03226i	0.456768	−	0.889586i
$33$	−0.486696	−	0.842982i	−0.0847228	−	0.146744i
$34$	−8.23266	−	2.58560i	−1.41189	−	0.443427i
$35$	4.56999	−	7.91546i	0.772470	−	1.33796i
$36$	−0.427938	+	5.02101i	−0.0713230	+	0.836836i
$37$	5.70217	−	2.11785i	0.937430	−	0.348173i
$37$	5.70217	−	2.11785i	0.937430	−	0.348173i
$38$	−3.32115	−	3.61625i	−0.538761	−	0.586633i
$39$	2.78524	+	1.60806i	0.445995	+	0.257495i
$40$	6.85765	+	2.81354i	1.08429	+	0.444861i
$41$	−3.13563	−	5.43107i	−0.489703	−	0.848191i	0.510226	−	0.860040i	$-0.329562\pi$
$41$	−3.13563	−	5.43107i	−0.489703	−	0.848191i	−0.999930	+	0.0118490i	$0.996228\pi$
$42$	−3.26150	−	1.02433i	−0.503261	−	0.158057i
$43$	2.90404			0.442862			0.221431	−	0.975176i	$-0.428927\pi$
$43$	2.90404			0.442862			0.221431	+	0.975176i	$0.428927\pi$
$44$	−1.19275	−	2.54296i	−0.179814	−	0.383366i
$45$	−6.60307			−0.984328
$46$	1.85289	+	8.31372i	0.273194	+	1.22579i
$47$	−8.48133			−1.23713			−0.618565	−	0.785734i	$-0.712286\pi$
$47$	−8.48133			−1.23713			−0.618565	+	0.785734i	$0.712286\pi$
$48$	0.469173	−	2.73242i	0.0677193	−	0.394391i
$49$	−2.58184	+	4.47188i	−0.368834	+	0.638839i
$50$	−0.791535	+	2.52028i	−0.111940	+	0.356421i
$51$	−4.22912			−0.592195
$52$	7.61393	+	5.30593i	1.05586	+	0.735800i
$53$	2.05008	+	1.18361i	0.281600	+	0.162582i	0.634148	−	0.773212i	$-0.281351\pi$
$53$	2.05008	+	1.18361i	0.281600	+	0.162582i	−0.352548	+	0.935794i	$0.614685\pi$
$54$	1.17692	+	5.28073i	0.160159	+	0.718616i
$55$	3.18738	−	1.84023i	0.429786	−	0.248137i
$56$	−9.12631	−	3.74432i	−1.21955	−	0.500356i
$57$	−2.08395	−	1.20317i	−0.276026	−	0.159364i
$58$	−8.52355	+	1.89966i	−1.11920	+	0.249437i
$59$	−1.01427	+	1.75677i	−0.132047	+	0.228712i	−0.924465	−	0.381266i	$-0.875488\pi$
$59$	−1.01427	+	1.75677i	−0.132047	+	0.228712i	0.792419	+	0.609978i	$0.208822\pi$
$60$	3.61967	+	0.308502i	0.467297	+	0.0398274i
$61$	6.65507	+	11.5269i	0.852094	+	1.47587i	0.879315	+	0.476241i	$0.158001\pi$
$61$	6.65507	+	11.5269i	0.852094	+	1.47587i	−0.0272208	+	0.999629i	$0.508666\pi$
$62$	0.421112	+	1.88949i	0.0534813	+	0.239965i
$63$	8.78751			1.10712
$64$	2.01852	−	7.74116i	0.252315	−	0.967645i
$65$	−6.08019	+	10.5312i	−0.754155	+	1.30623i
$66$	−0.931144	−	1.01388i	−0.114616	−	0.124800i
$67$	−4.98642	+	2.87891i	−0.609188	+	0.351715i	−0.772648	−	0.634835i	$-0.781068\pi$
$67$	−4.98642	+	2.87891i	−0.609188	+	0.351715i	0.163460	+	0.986550i	$0.447735\pi$
$68$	−12.1594	−	1.03633i	−1.47454	−	0.125674i
$69$	2.08725	+	3.61522i	0.251275	+	0.435222i
$70$	3.87306	−	12.3320i	0.462920	−	1.47395i
$71$	3.65561	+	6.33170i	0.433841	+	0.751434i	0.997200	−	0.0747777i	$-0.0238247\pi$
$71$	3.65561	+	6.33170i	0.433841	+	0.751434i	−0.563360	+	0.826212i	$0.690491\pi$
$72$	0.953961	+	7.06239i	0.112425	+	0.832311i
$73$	−10.9720			−1.28418			−0.642088	−	0.766631i	$-0.721932\pi$
$73$	−10.9720			−1.28418			−0.642088	+	0.766631i	$0.721932\pi$
$74$	7.21943	−	4.67758i	0.839242	−	0.543758i
$75$			1.29467i			0.149495i
$76$	−5.69684	−	3.96996i	−0.653472	−	0.455386i
$77$	−4.24183	+	2.44902i	−0.483401	+	0.279092i
$78$	4.33930	+	1.36283i	0.491329	+	0.154310i
$79$	7.01349	−	4.04924i	0.789080	−	0.455575i	−0.0505587	−	0.998721i	$-0.516100\pi$
$79$	7.01349	−	4.04924i	0.789080	−	0.455575i	0.839638	+	0.543146i	$0.182767\pi$
$80$	10.3315	+	1.77398i	1.15510	+	0.198337i
$81$	−2.45363	−	4.24981i	−0.272625	−	0.472201i
$82$	−5.99907	−	6.53212i	−0.662487	−	0.721352i
$83$	−8.75178	−	5.05285i	−0.960633	−	0.554622i	−0.0642653	−	0.997933i	$-0.520470\pi$
$83$	−8.75178	−	5.05285i	−0.960633	−	0.554622i	−0.896368	+	0.443311i	$0.853804\pi$
$84$	−4.81713	−	0.410561i	−0.525592	−	0.0447959i
$85$		−	15.9906i		−	1.73443i
$86$	4.00858	−	0.893397i	0.432256	−	0.0963375i
$87$	−3.70647	+	2.13993i	−0.397375	+	0.229425i
$88$	−2.42873	−	3.14324i	−0.258904	−	0.335070i
$89$	15.2905	+	8.82800i	1.62079	+	0.935766i	0.986708	+	0.162505i	$0.0519572\pi$
$89$	15.2905	+	8.82800i	1.62079	+	0.935766i	0.634087	+	0.773262i	$0.281376\pi$
$90$	−9.11453	+	2.03137i	−0.960756	+	0.214125i
$91$	8.09164	−	14.0151i	0.848234	−	1.46919i
$92$	5.11526	+	10.9058i	0.533303	+	1.13701i
$93$	0.474376	+	0.821644i	0.0491905	+	0.0852005i
$94$	−11.7072	+	2.60920i	−1.20750	+	0.269118i
$95$	4.54927	−	7.87957i	0.466746	−	0.808427i
$96$	−0.192980	−	3.91603i	−0.0196959	−	0.399678i
$97$		−	5.77275i		−	0.586134i	−0.956092	−	0.293067i	$-0.905324\pi$
$97$		−	5.77275i		−	0.586134i	0.956092	−	0.293067i	$-0.0946758\pi$
$98$	−2.18811	+	6.96702i	−0.221032	+	0.703775i
$99$	3.06446	+	1.76927i	0.307990	+	0.177818i
$100$	−0.317255	+	3.72237i	−0.0317255	+	0.372237i
$101$			1.89789i			0.188847i	0.995532	+	0.0944237i	$0.0301008\pi$
$101$			1.89789i			0.188847i	−0.995532	+	0.0944237i	$0.969899\pi$
$102$	−5.83765	+	1.30105i	−0.578014	+	0.128823i
$103$		−	13.1957i		−	1.30022i	−0.759842	−	0.650108i	$-0.774724\pi$
$103$		−	13.1957i		−	1.30022i	0.759842	−	0.650108i	$-0.225276\pi$
$104$	12.1422	+	4.98167i	1.19064	+	0.488493i
$105$		−	6.33494i		−	0.618227i
$106$	3.19395	+	1.00311i	0.310223	+	0.0974308i
$107$	12.2473	−	7.07096i	1.18399	−	0.683576i	0.227054	−	0.973882i	$-0.427091\pi$
$107$	12.2473	−	7.07096i	1.18399	−	0.683576i	0.956934	+	0.290306i	$0.0937572\pi$
$108$	3.24913	+	6.92717i	0.312647	+	0.666567i
$109$	−0.366699	+	0.635142i	−0.0351234	+	0.0608355i	−0.883053	−	0.469274i	$-0.844516\pi$
$109$	−0.366699	+	0.635142i	−0.0351234	+	0.0608355i	0.847929	+	0.530109i	$0.177849\pi$
$110$	3.83356	−	3.52073i	0.365516	−	0.335688i
$111$	2.68875	−	3.24732i	0.255205	−	0.308222i
$112$	−13.7494	−	2.36085i	−1.29919	−	0.223079i
$113$	7.97540	+	4.60460i	0.750262	+	0.433164i	0.825789	−	0.563980i	$-0.190730\pi$
$113$	7.97540	+	4.60460i	0.750262	+	0.433164i	−0.0755264	+	0.997144i	$0.524064\pi$
$114$	−3.24671	−	1.01968i	−0.304083	−	0.0955022i
$115$	−13.6694	+	7.89205i	−1.27468	+	0.735938i
$116$	−11.1811	+	5.24437i	−1.03813	+	0.486927i
$117$	−11.6914			−1.08087
$118$	−0.859594	+	2.73698i	−0.0791320	+	0.251959i
$119$			21.2807i			1.95079i
$120$	5.09130	−	0.687714i	0.464770	−	0.0627794i
$121$	9.02767			0.820697
$122$	12.7324	+	13.8638i	1.15274	+	1.25517i
$123$	−3.76429	−	2.17331i	−0.339415	−	0.195961i
$124$	1.16256	+	2.47860i	0.104401	+	0.222584i
$125$	8.20813			0.734157
$126$	12.1298	−	2.70339i	1.08061	−	0.240837i
$127$	8.46777	−	14.6666i	0.751393	−	1.30145i	−0.195754	−	0.980653i	$-0.562716\pi$
$127$	8.46777	−	14.6666i	0.751393	−	1.30145i	0.947148	−	0.320798i	$-0.103951\pi$
$128$	0.404766	−	11.3065i	0.0357766	−	0.999360i
$129$	1.74313	−	1.00640i	0.153474	−	0.0886084i
$130$	−5.15296	+	16.4072i	−0.451944	+	1.43901i
$131$	2.43628	−	4.21977i	0.212859	−	0.368683i	−0.739749	−	0.672883i	$-0.765056\pi$
$131$	2.43628	−	4.21977i	0.212859	−	0.368683i	0.952608	+	0.304200i	$0.0983891\pi$
$132$	−1.59721	−	1.11305i	−0.139019	−	0.0968785i
$133$	−6.05427	+	10.4863i	−0.524971	+	0.909277i
$134$	−5.99732	+	5.50791i	−0.518089	+	0.475811i
$135$	−8.68259	+	5.01290i	−0.747278	+	0.431441i
$136$	−17.1030	+	2.31020i	−1.46657	+	0.198098i
$137$	2.90456			0.248153			0.124077	−	0.992273i	$-0.460403\pi$
$137$	2.90456			0.248153			0.124077	+	0.992273i	$0.460403\pi$
$138$	3.99332	+	4.34814i	0.339934	+	0.370138i
$139$	16.2192	+	9.36418i	1.37570	+	0.794259i	0.991638	−	0.129050i	$-0.0411927\pi$
$139$	16.2192	+	9.36418i	1.37570	+	0.794259i	0.384059	+	0.923309i	$0.374526\pi$
$140$	1.55236	−	18.2139i	0.131199	−	1.53936i
$141$	−5.09087	+	2.93922i	−0.428729	+	0.247527i
$142$	6.99389	+	7.61533i	0.586914	+	0.639064i
$143$	5.64358	−	3.25832i	0.471940	−	0.272475i
$144$	3.48947	+	9.45508i	0.290789	+	0.787923i
$145$	−8.09125	−	14.0144i	−0.671941	−	1.16384i
$146$	−15.1452	+	3.37543i	−1.25342	+	0.279352i
$147$			3.57896i			0.295187i
$148$	8.52631	−	8.67767i	0.700859	−	0.713300i
$149$		−	2.04062i		−	0.167174i	−0.996500	−	0.0835871i	$-0.973362\pi$
$149$		−	2.04062i		−	0.167174i	0.996500	−	0.0835871i	$-0.0266377\pi$
$150$	0.398291	+	1.78709i	0.0325204	+	0.145915i
$151$	−10.8539	−	18.7994i	−0.883274	−	1.52988i	−0.847679	−	0.530509i	$-0.822001\pi$
$151$	−10.8539	−	18.7994i	−0.883274	−	1.52988i	−0.0355947	−	0.999366i	$-0.511333\pi$
$152$	−9.08493	−	3.72735i	−0.736885	−	0.302328i
$153$	13.3142	−	7.68698i	1.07639	−	0.621455i
$154$	−5.10178	+	4.68545i	−0.411113	+	0.377565i
$155$	−3.10670	+	1.79365i	−0.249536	+	0.144070i
$156$	6.40899	+	0.546235i	0.513130	+	0.0437338i
$157$	−3.39674	−	1.96111i	−0.271089	−	0.156513i	0.358293	−	0.933609i	$-0.383359\pi$
$157$	−3.39674	−	1.96111i	−0.271089	−	0.156513i	−0.629383	+	0.777096i	$0.716692\pi$
$158$	8.43535	−	7.74699i	0.671080	−	0.616317i
$159$	1.64073			0.130118
$160$	14.8068	−	0.729671i	1.17058	−	0.0576856i
$161$	18.1916	−	10.5029i	1.43370	−	0.827745i
$162$	−4.69427	−	5.11138i	−0.368817	−	0.401588i
$163$	3.24296	−	5.61697i	0.254008	−	0.439955i	−0.710617	−	0.703579i	$-0.751584\pi$
$163$	3.24296	−	5.61697i	0.254008	−	0.439955i	0.964626	+	0.263623i	$0.0849176\pi$
$164$	−10.2903	−	7.17104i	−0.803541	−	0.559964i
$165$	1.27547	−	2.20918i	0.0992953	−	0.171984i
$166$	−13.6350	−	4.28228i	−1.05828	−	0.332370i
$167$	−6.01201	+	3.47104i	−0.465223	+	0.268597i	−0.714238	−	0.699903i	$-0.753227\pi$
$167$	−6.01201	+	3.47104i	−0.465223	+	0.268597i	0.249015	+	0.968500i	$0.419893\pi$
$168$	−6.77561	+	0.915224i	−0.522750	+	0.0706110i
$169$	−4.26560	+	7.38824i	−0.328123	+	0.568326i
$170$	−4.91935	−	22.0726i	−0.377297	−	1.69289i
$171$	8.74767			0.668951
$172$	5.25839	−	2.46640i	0.400948	−	0.188061i
$173$	−4.77237	−	2.75533i	−0.362837	−	0.209484i	0.307488	−	0.951552i	$-0.400512\pi$
$173$	−4.77237	−	2.75533i	−0.362837	−	0.209484i	−0.670324	+	0.742068i	$0.733845\pi$
$174$	−4.45789	+	4.09411i	−0.337951	+	0.310373i
$175$	6.51469			0.492464
$176$	−4.31948	−	3.59158i	−0.325593	−	0.270726i
$177$			1.40599i			0.105680i
$178$	23.8221	+	7.48172i	1.78554	+	0.560779i
$179$	−19.3287			−1.44469			−0.722347	−	0.691531i	$-0.756937\pi$
$179$	−19.3287			−1.44469			−0.722347	+	0.691531i	$0.756937\pi$
$180$	−11.9563	+	5.60799i	−0.891169	+	0.417995i
$181$	5.14145	−	2.96842i	0.382161	−	0.220641i	−0.296597	−	0.955003i	$-0.595852\pi$
$181$	5.14145	−	2.96842i	0.382161	−	0.220641i	0.678758	+	0.734362i	$0.262519\pi$
$182$	6.85766	−	21.8351i	0.508324	−	1.61852i
$183$	7.98933	+	4.61264i	0.590588	+	0.340976i
$184$	10.4159	+	13.4801i	0.767870	+	0.993768i
$185$	12.2784	+	10.1664i	0.902724	+	0.747446i
$186$	0.907574	+	0.988216i	0.0665465	+	0.0724595i
$187$	−4.28462	+	7.42119i	−0.313323	+	0.542691i
$188$	−15.3573	+	7.20319i	−1.12005	+	0.525347i
$189$	11.5550	−	6.67126i	0.840500	−	0.485263i
$190$	3.85551	−	12.2761i	0.279708	−	0.890601i
$191$			17.4298i			1.26117i	0.776118	+	0.630587i	$0.217186\pi$
$191$			17.4298i			1.26117i	−0.776118	+	0.630587i	$0.782814\pi$
$192$	−1.47110	−	5.34611i	−0.106168	−	0.385822i
$193$		−	7.94976i		−	0.572236i	−0.958194	−	0.286118i	$-0.907635\pi$
$193$		−	7.94976i		−	0.572236i	0.958194	−	0.286118i	$-0.0923649\pi$
$194$	−1.77593	−	7.96839i	−0.127504	−	0.572097i
$195$			8.42839i			0.603569i
$196$	−0.877014	+	10.2900i	−0.0626439	+	0.735003i
$197$	18.5852	+	10.7302i	1.32414	+	0.764495i	0.984387	−	0.176018i	$-0.0563218\pi$
$197$	18.5852	+	10.7302i	1.32414	+	0.764495i	0.339757	+	0.940513i	$0.389655\pi$
$198$	4.77431	+	1.49945i	0.339296	+	0.106561i
$199$			6.39905i			0.453616i	0.973939	+	0.226808i	$0.0728291\pi$
$199$			6.39905i			0.453616i	−0.973939	+	0.226808i	$0.927171\pi$
$200$	0.707226	+	5.23576i	0.0500085	+	0.370224i
$201$	−1.99538	+	3.45610i	−0.140743	+	0.243774i
$202$	0.583867	+	2.61975i	0.0410808	+	0.184325i
$203$	10.7680	+	18.6507i	0.755765	+	1.30902i
$204$	−7.65773	+	3.59179i	−0.536148	+	0.251475i
$205$	8.21747	−	14.2331i	0.573933	−	0.994081i
$206$	−4.05954	−	18.2147i	−0.282841	−	1.26908i
$207$	−13.1423	−	7.58770i	−0.913452	−	0.527382i
$208$	18.2930	+	3.14102i	1.26839	+	0.217790i
$209$	−4.22260	+	2.43792i	−0.292083	+	0.168634i
$210$	−1.94888	−	8.74442i	−0.134486	−	0.603422i
$211$			16.2987i			1.12205i	0.827800	+	0.561023i	$0.189592\pi$
$211$			16.2987i			1.12205i	−0.827800	+	0.561023i	$0.810408\pi$
$212$	4.71735	+	0.402057i	0.323989	+	0.0276134i
$213$	4.38851	+	2.53371i	0.300696	+	0.173607i
$214$	14.7302	−	13.5281i	1.00693	−	0.924764i
$215$	3.80527	+	6.59092i	0.259517	+	0.449497i
$216$	6.61599	+	8.56234i	0.450161	+	0.582593i
$217$	4.13446	−	2.38703i	0.280665	−	0.162042i
$218$	−0.310777	+	0.989527i	−0.0210485	+	0.0670192i
$219$	−6.58588	+	3.80236i	−0.445033	+	0.256940i
$220$	4.20853	−	6.03918i	0.283739	−	0.407161i
$221$		−	28.3131i		−	1.90454i
$222$	2.71240	−	5.30960i	0.182044	−	0.356357i
$223$	−12.4528			−0.833901			−0.416950	−	0.908929i	$-0.636901\pi$
$223$	−12.4528			−0.833901			−0.416950	+	0.908929i	$0.636901\pi$
$224$	−19.7052	+	0.971061i	−1.31661	+	0.0648818i
$225$	−2.35323	−	4.07591i	−0.156882	−	0.271727i
$226$	12.4254	+	3.90239i	0.826524	+	0.259583i
$227$	9.94347	+	17.2226i	0.659971	+	1.14310i	0.980623	+	0.195906i	$0.0627648\pi$
$227$	9.94347	+	17.2226i	0.659971	+	1.14310i	−0.320652	+	0.947197i	$0.603902\pi$
$228$	−4.79529	−	0.408699i	−0.317576	−	0.0270668i
$229$	−4.65780	+	2.68918i	−0.307796	+	0.177706i	−0.645940	−	0.763388i	$-0.723534\pi$
$229$	−4.65780	+	2.68918i	−0.307796	+	0.177706i	0.338144	+	0.941094i	$0.390201\pi$
$230$	−16.4407	+	15.0990i	−1.08406	+	0.995601i
$231$	−1.69742	+	2.94002i	−0.111682	+	0.193439i
$232$	−13.8204	+	10.6788i	−0.907351	+	0.701097i
$233$	−12.8147			−0.839517			−0.419759	−	0.907636i	$-0.637885\pi$
$233$	−12.8147			−0.839517			−0.419759	+	0.907636i	$0.637885\pi$
$234$	−16.1382	+	3.59675i	−1.05499	+	0.235127i
$235$	−11.1134	−	19.2490i	−0.724959	−	1.25567i
$236$	−0.344534	+	4.04243i	−0.0224272	+	0.263140i
$237$	2.80654	−	4.86107i	0.182304	−	0.315760i
$238$	6.54678	+	29.3747i	0.424364	+	1.90408i
$239$	−10.6859	−	6.16951i	−0.691214	−	0.399072i	0.112853	−	0.993612i	$-0.464001\pi$
$239$	−10.6859	−	6.16951i	−0.691214	−	0.399072i	−0.804067	+	0.594539i	$0.797334\pi$
$240$	6.81620	−	2.51557i	0.439984	−	0.162379i
$241$	−11.0429	+	6.37565i	−0.711338	+	0.410691i	−0.811556	−	0.584274i	$-0.801379\pi$
$241$	−11.0429	+	6.37565i	−0.711338	+	0.410691i	0.100218	+	0.994966i	$0.468046\pi$
$242$	12.4613	−	2.77727i	0.801044	−	0.178530i
$243$	−12.8849	−	7.43910i	−0.826566	−	0.477218i
$244$	21.8402	+	15.2198i	1.39818	+	0.974349i
$245$	−13.5323			−0.864548
$246$	−5.86462	−	1.84188i	−0.373915	−	0.117434i
$247$	8.05496	−	13.9516i	0.512525	−	0.887719i
$248$	2.36725	+	3.06367i	0.150321	+	0.194543i
$249$	−7.00428			−0.443878
$250$	11.3301	−	2.52515i	0.716576	−	0.159704i
$251$	14.2951			0.902300			0.451150	−	0.892448i	$-0.351014\pi$
$251$	14.2951			0.902300			0.451150	+	0.892448i	$0.351014\pi$
$252$	15.9117	−	7.46322i	1.00234	−	0.470139i
$253$	8.45858			0.531786
$254$	7.17643	−	22.8500i	0.450289	−	1.43374i
$255$	−5.54157	−	9.59828i	−0.347027	−	0.601068i
$256$	−2.91960	−	15.7314i	−0.182475	−	0.983210i
$257$	13.3711	+	7.71979i	0.834064	+	0.481547i	0.855242	−	0.518229i	$-0.173408\pi$
$257$	13.3711	+	7.71979i	0.834064	+	0.481547i	−0.0211781	+	0.999776i	$0.506742\pi$
$258$	2.09652	−	1.92543i	0.130524	−	0.119872i
$259$	−16.3403	−	13.5296i	−1.01534	−	0.840689i
$260$	−2.06536	+	24.2329i	−0.128088	+	1.50286i
$261$	7.77921	−	13.4740i	0.481521	−	0.834019i
$262$	2.06475	−	6.57424i	0.127561	−	0.406158i
$263$	−1.80085	−	3.11917i	−0.111045	−	0.192336i	0.805147	−	0.593076i	$-0.202087\pi$
$263$	−1.80085	−	3.11917i	−0.111045	−	0.192336i	−0.916192	+	0.400740i	$0.868753\pi$
$264$	−2.54712	−	1.04503i	−0.156765	−	0.0643171i
$265$			6.20373i			0.381092i
$266$	−5.13099	+	16.3373i	−0.314601	+	1.00170i
$267$	12.2374			0.748918
$268$	−6.58393	+	9.44785i	−0.402177	+	0.577119i
$269$			16.4424i			1.00251i	0.865299	+	0.501256i	$0.167128\pi$
$269$			16.4424i			1.00251i	−0.865299	+	0.501256i	$0.832872\pi$
$270$	−10.4428	+	9.59065i	−0.635530	+	0.583668i
$271$	−15.1587	+	26.2556i	−0.920824	+	1.59491i	−0.122681	+	0.992446i	$0.539149\pi$
$271$	−15.1587	+	26.2556i	−0.920824	+	1.59491i	−0.798143	+	0.602468i	$0.794184\pi$
$272$	−22.8973	+	8.45043i	−1.38835	+	0.512383i
$273$		−	11.2167i		−	0.678864i
$274$	4.00930	−	0.893558i	0.242211	−	0.0539818i
$275$	2.27186	+	1.31166i	0.136998	+	0.0790961i
$276$	6.84982	+	4.77344i	0.412311	+	0.287327i
$277$	−3.67666	−	6.36815i	−0.220909	−	0.382625i	0.734175	−	0.678960i	$-0.237569\pi$
$277$	−3.67666	−	6.36815i	−0.220909	−	0.382625i	−0.955084	+	0.296335i	$0.904236\pi$
$278$	25.2690	+	7.93613i	1.51553	+	0.475978i
$279$	−2.98689	−	1.72448i	−0.178820	−	0.103242i
$280$	−3.46053	−	25.6191i	−0.206806	−	1.53104i
$281$	−22.2865	−	12.8671i	−1.32950	−	0.767588i	−0.344279	−	0.938867i	$-0.611877\pi$
$281$	−22.2865	−	12.8671i	−1.32950	−	0.767588i	−0.985223	+	0.171279i	$0.945210\pi$
$282$	−6.12295	+	5.62329i	−0.364616	+	0.334862i
$283$	−13.1118	−	22.7102i	−0.779413	−	1.34998i	−0.932280	−	0.361737i	$-0.882184\pi$
$283$	−13.1118	−	22.7102i	−0.779413	−	1.34998i	0.152867	−	0.988247i	$-0.451149\pi$
$284$	11.9968	+	8.36020i	0.711877	+	0.496086i
$285$		−	6.30622i		−	0.373548i
$286$	6.78771	−	6.23381i	0.401366	−	0.368613i
$287$	−10.9360	+	18.9417i	−0.645530	+	1.11809i
$288$	7.72544	+	11.9778i	0.455226	+	0.705798i
$289$	10.1155	+	17.5206i	0.595030	+	1.03062i
$290$	−15.4801	−	16.8556i	−0.909025	−	0.989796i
$291$	−2.00055	−	3.46506i	−0.117274	−	0.203125i
$292$	−19.8672	+	9.31852i	−1.16264	+	0.545325i
$293$	−24.5313	+	14.1632i	−1.43314	+	0.827421i	−0.997359	−	0.0726333i	$-0.976860\pi$
$293$	−24.5313	+	14.1632i	−1.43314	+	0.827421i	−0.435777	+	0.900055i	$0.643526\pi$
$294$	1.10103	+	4.94020i	0.0642133	+	0.288118i
$295$	−5.31615			−0.309518
$296$	9.09967	−	14.6012i	0.528908	−	0.848679i
$297$	5.37274			0.311758
$298$	−0.627776	−	2.81677i	−0.0363661	−	0.163171i
$299$	−24.2031	+	13.9737i	−1.39970	+	0.808120i
$300$	1.09956	+	2.34428i	0.0634832	+	0.135347i
$301$	−5.06413	−	8.77133i	−0.291891	−	0.505571i
$302$	−20.7655	−	22.6106i	−1.19492	−	1.30110i
$303$	0.657717	+	1.13920i	0.0377849	+	0.0654453i
$304$	−13.6870	−	2.35015i	−0.785005	−	0.134790i
$305$	−17.4408	+	30.2083i	−0.998655	+	1.72972i
$306$	16.0134	−	14.7067i	0.915428	−	0.840725i
$307$		−	14.9305i		−	0.852129i	−0.904693	−	0.426065i	$-0.859900\pi$
$307$		−	14.9305i		−	0.852129i	0.904693	−	0.426065i	$-0.140100\pi$
$308$	−5.60079	+	8.03706i	−0.319135	+	0.457954i
$309$	−4.57300	−	7.92067i	−0.260149	−	0.450591i
$310$	−3.73652	+	3.43161i	−0.212220	+	0.194902i
$311$	−9.15710	−	5.28686i	−0.519252	−	0.299790i	0.217377	−	0.976088i	$-0.430250\pi$
$311$	−9.15710	−	5.28686i	−0.519252	−	0.299790i	−0.736628	+	0.676298i	$0.763583\pi$
$312$	9.01468	−	1.21767i	0.510356	−	0.0689369i
$313$	9.02371	+	5.20984i	0.510050	+	0.294478i	0.732854	−	0.680386i	$-0.238188\pi$
$313$	9.02371	+	5.20984i	0.510050	+	0.294478i	−0.222804	+	0.974863i	$0.571521\pi$
$314$	−5.29199	−	1.66204i	−0.298644	−	0.0937942i
$315$	11.5146	+	19.9439i	0.648774	+	1.12371i
$316$	9.26042	−	13.2886i	0.520940	−	0.747541i
$317$	−17.4111	−	10.0523i	−0.977903	−	0.564593i	−0.0762666	−	0.997087i	$-0.524300\pi$
$317$	−17.4111	−	10.0523i	−0.977903	−	0.564593i	−0.901636	+	0.432495i	$0.857633\pi$
$318$	2.26478	−	0.504754i	0.127002	−	0.0283052i
$319$			8.67207i			0.485542i
$320$	20.2140	−	5.56236i	1.13000	−	0.310945i
$321$	4.90090	−	8.48861i	0.273542	−	0.473788i
$322$	21.8796	−	20.0941i	1.21930	−	1.11980i
$323$			21.1842i			1.17872i
$324$	−8.05218	−	5.61133i	−0.447344	−	0.311741i
$325$	−8.66753			−0.480788
$326$	2.74841	−	8.75104i	0.152220	−	0.484675i
$327$			0.508320i			0.0281102i
$328$	−16.4103	−	6.73280i	−0.906110	−	0.371757i
$329$	14.7899	+	25.6169i	0.815396	+	1.41231i
$330$	1.08096	−	3.44182i	0.0595049	−	0.189466i
$331$	−3.80995	+	6.59903i	−0.209414	+	0.362715i	−0.951530	−	0.307556i	$-0.900489\pi$
$331$	−3.80995	+	6.59903i	−0.209414	+	0.362715i	0.742116	+	0.670271i	$0.233822\pi$
$332$	−20.1384	−	1.71638i	−1.10524	−	0.0941986i
$333$	−2.56237	+	15.1105i	−0.140417	+	0.828048i
$334$	−7.23083	+	6.64077i	−0.395654	+	0.363367i
$335$	−13.0678	−	7.54468i	−0.713969	−	0.412210i
$336$	−9.07114	+	3.34777i	−0.494871	+	0.182636i
$337$	−3.26278	−	5.65130i	−0.177735	−	0.307846i	0.763369	−	0.645962i	$-0.223544\pi$
$337$	−3.26278	−	5.65130i	−0.177735	−	0.307846i	−0.941104	+	0.338116i	$0.890210\pi$
$338$	−3.61509	+	11.5106i	−0.196635	+	0.626094i
$339$	6.38292			0.346672
$340$	−13.5808	−	28.9545i	−0.736524	−	1.57028i
$341$	1.92241			0.104104
$342$	12.0748	−	2.69113i	0.652931	−	0.145520i
$343$	−6.40444			−0.345808
$344$	6.49963	−	5.02217i	0.350437	−	0.270777i
$345$	−5.47000	+	9.47432i	−0.294495	+	0.510080i
$346$	−7.43518	−	2.33514i	−0.399718	−	0.125538i
$347$	21.2631			1.14146			0.570731	−	0.821137i	$-0.306660\pi$
$347$	21.2631			1.14146			0.570731	+	0.821137i	$0.306660\pi$
$348$	−4.89392	+	7.02271i	−0.262342	+	0.376457i
$349$	25.0721	+	14.4754i	1.34208	+	0.774848i	0.987112	−	0.160031i	$-0.0511595\pi$
$349$	25.0721	+	14.4754i	1.34208	+	0.774848i	0.354965	+	0.934880i	$0.384493\pi$
$350$	8.99253	−	2.00418i	0.480671	−	0.107128i
$351$	−15.3734	+	8.87585i	−0.820572	+	0.473758i
$352$	−7.06729	−	3.62878i	−0.376688	−	0.193415i
$353$	5.86370	+	3.38541i	0.312093	+	0.180187i	0.647863	−	0.761757i	$-0.275663\pi$
$353$	5.86370	+	3.38541i	0.312093	+	0.180187i	−0.335770	+	0.941944i	$0.608996\pi$
$354$	0.432538	+	1.94075i	0.0229891	+	0.103150i
$355$	−9.58015	+	16.5933i	−0.508462	+	0.880682i
$356$	35.1844	+	2.99875i	1.86477	+	0.158933i
$357$	7.37484	+	12.7736i	0.390318	+	0.676050i
$358$	−26.6803	+	5.94627i	−1.41010	+	0.314270i
$359$	−10.3495			−0.546228			−0.273114	−	0.961982i	$-0.588054\pi$
$359$	−10.3495			−0.546228			−0.273114	+	0.961982i	$0.588054\pi$
$360$	−14.7786	+	11.4192i	−0.778900	+	0.601845i
$361$	3.47318	−	6.01573i	0.182799	−	0.316617i
$362$	6.18378	−	5.67916i	0.325012	−	0.298490i
$363$	5.41881	−	3.12855i	0.284414	−	0.164206i
$364$	2.74862	−	32.2496i	0.144067	−	1.69034i
$365$	−14.3770	−	24.9017i	−0.752528	−	1.30342i
$366$	12.4471	+	3.90921i	0.650619	+	0.204338i
$367$	11.2161	+	19.4269i	0.585477	+	1.01408i	0.994816	+	0.101694i	$0.0324262\pi$
$367$	11.2161	+	19.4269i	0.585477	+	1.01408i	−0.409338	+	0.912383i	$0.634240\pi$
$368$	18.5246	+	15.4029i	0.965660	+	0.802932i
$369$	15.8011			0.822574
$370$	20.0760	+	10.2558i	1.04370	+	0.533174i
$371$		−	8.25605i		−	0.428633i
$372$	1.55678	+	1.08488i	0.0807154	+	0.0562482i
$373$	−10.6644	+	6.15707i	−0.552180	+	0.318801i	−0.750001	−	0.661437i	$-0.769947\pi$
$373$	−10.6644	+	6.15707i	−0.552180	+	0.318801i	0.197821	+	0.980238i	$0.436614\pi$
$374$	−3.63122	+	11.5619i	−0.187766	+	0.597853i
$375$	4.92688	−	2.84454i	0.254423	−	0.146891i
$376$	−18.9824	+	14.6674i	−0.978942	+	0.756414i
$377$	−14.3264	−	24.8140i	−0.737846	−	1.27799i
$378$	13.8975	−	12.7634i	0.714811	−	0.656480i
$379$	23.9363	+	13.8196i	1.22953	+	0.709867i	0.966931	−	0.255040i	$-0.0820885\pi$
$379$	23.9363	+	13.8196i	1.22953	+	0.709867i	0.262595	+	0.964906i	$0.415422\pi$
$380$	1.54532	−	18.1314i	0.0792735	−	0.930119i
$381$		−	11.7381i		−	0.601359i
$382$	5.36209	+	24.0591i	0.274349	+	1.23097i
$383$	−14.1371	+	8.16208i	−0.722374	+	0.417063i	−0.815626	−	0.578580i	$-0.803607\pi$
$383$	−14.1371	+	8.16208i	−0.722374	+	0.417063i	0.0932518	+	0.995643i	$0.470274\pi$
$384$	−3.67531	−	6.92691i	−0.187555	−	0.353488i
$385$	−11.1165	−	6.41809i	−0.566547	−	0.327096i
$386$	−2.44566	−	10.9734i	−0.124481	−	0.558533i
$387$	−3.65852	+	6.33674i	−0.185973	+	0.322115i
$388$	−4.90279	−	10.4528i	−0.248901	−	0.530661i
$389$	2.21787	+	3.84146i	0.112450	+	0.194770i	0.916758	−	0.399444i	$-0.130797\pi$
$389$	2.21787	+	3.84146i	0.112450	+	0.194770i	−0.804307	+	0.594214i	$0.797463\pi$
$390$	2.59291	+	11.6341i	0.131297	+	0.589116i
$391$	18.3751	−	31.8266i	0.929268	−	1.60954i
$392$	1.95504	+	14.4736i	0.0987446	+	0.731029i
$393$		−	3.37719i		−	0.170357i
$394$	28.9551	+	9.09383i	1.45874	+	0.458141i
$395$	18.3801	+	10.6117i	0.924802	+	0.533935i
$396$	7.05150	+	0.600995i	0.354351	+	0.0302011i
$397$		−	1.37426i		−	0.0689722i	−0.999405	−	0.0344861i	$-0.989021\pi$
$397$		−	1.37426i		−	0.0689722i	0.999405	−	0.0344861i	$-0.0109794\pi$
$398$	1.96860	+	8.83290i	0.0986771	+	0.442753i
$399$			8.39245i			0.420148i
$400$	2.58695	+	7.00959i	0.129347	+	0.350480i
$401$		−	13.9783i		−	0.698041i	−0.937115	−	0.349021i	$-0.886514\pi$
$401$		−	13.9783i		−	0.698041i	0.937115	−	0.349021i	$-0.113486\pi$
$402$	−1.69108	+	5.38447i	−0.0843435	+	0.268553i
$403$	−5.50073	+	3.17585i	−0.274011	+	0.158200i
$404$	1.61188	+	3.43654i	0.0801940	+	0.170974i
$405$	6.43016	−	11.1374i	0.319517	−	0.553420i
$406$	20.6013	+	22.4318i	1.02242	+	1.11327i
$407$	−2.97431	−	8.00811i	−0.147431	−	0.396947i
$408$	−9.46535	+	7.31374i	−0.468605	+	0.362084i
$409$	13.5079	+	7.79876i	0.667920	+	0.385624i	0.795288	−	0.606232i	$-0.207320\pi$
$409$	13.5079	+	7.79876i	0.667920	+	0.385624i	−0.127368	+	0.991856i	$0.540653\pi$
$410$	6.96430	−	22.1746i	0.343942	−	1.09513i
$411$	1.74344	−	1.00658i	0.0859978	−	0.0496508i
$412$	−11.2071	−	23.8937i	−0.552136	−	1.17716i
$413$	7.07484			0.348130
$414$	−20.4752	−	6.43057i	−1.00630	−	0.316045i
$415$		−	26.4837i		−	1.30003i
$416$	26.2170	−	1.29196i	1.28539	−	0.0633435i
$417$	12.9807			0.635666
$418$	−5.07865	+	4.66421i	−0.248405	+	0.228134i
$419$	−16.8597	−	9.73392i	−0.823648	−	0.475533i	0.0280249	−	0.999607i	$-0.491078\pi$
$419$	−16.8597	−	9.73392i	−0.823648	−	0.475533i	−0.851673	+	0.524074i	$0.824412\pi$
$420$	−5.38026	−	11.4708i	−0.262530	−	0.559717i
$421$	8.61019			0.419635			0.209817	−	0.977741i	$-0.432713\pi$
$421$	8.61019			0.419635			0.209817	+	0.977741i	$0.432713\pi$
$422$	5.01412	+	22.4978i	0.244083	+	1.09518i
$423$	10.6848	−	18.5067i	0.519514	−	0.899825i
$424$	6.63527	−	0.896267i	0.322237	−	0.0435266i
$425$	9.87061	−	5.69880i	0.478795	−	0.276432i
$426$	6.83714	+	2.14732i	0.331261	+	0.104038i
$427$	23.2105	−	40.2018i	1.12324	−	1.94550i
$428$	16.1710	−	23.2051i	0.781653	−	1.12166i
$429$	2.25835	−	3.91158i	0.109034	−	0.188853i
$430$	7.28022	+	7.92710i	0.351083	+	0.382279i
$431$	11.3703	−	6.56466i	0.547689	−	0.316208i	−0.200500	−	0.979694i	$-0.564257\pi$
$431$	11.3703	−	6.56466i	0.547689	−	0.316208i	0.748189	+	0.663485i	$0.230923\pi$
$432$	11.7665	+	9.78366i	0.566115	+	0.470716i
$433$	−25.2262			−1.21229			−0.606147	−	0.795353i	$-0.707286\pi$
$433$	−25.2262			−1.21229			−0.606147	+	0.795353i	$0.707286\pi$
$434$	4.97264	−	4.56685i	0.238694	−	0.219216i
$435$	−9.71345	−	5.60806i	−0.465724	−	0.268886i
$436$	−0.124563	+	1.46150i	−0.00596546	+	0.0699931i
$437$	18.1091	−	10.4553i	0.866275	−	0.500144i
$438$	−7.92105	+	7.27466i	−0.378482	+	0.347597i
$439$	−12.0495	+	6.95676i	−0.575089	+	0.332028i	−0.759179	−	0.650881i	$-0.774400\pi$
$439$	−12.0495	+	6.95676i	−0.575089	+	0.332028i	0.184090	+	0.982909i	$0.441066\pi$
$440$	3.95134	−	9.63087i	0.188373	−	0.459134i
$441$	−6.50522	−	11.2674i	−0.309773	−	0.536542i
$442$	−8.71022	−	39.0818i	−0.414303	−	1.85893i
$443$			5.57558i			0.264904i	0.991189	+	0.132452i	$0.0422850\pi$
$443$			5.57558i			0.264904i	−0.991189	+	0.132452i	$0.957715\pi$
$444$	2.11061	−	8.16353i	0.100165	−	0.387424i
$445$			46.2706i			2.19344i
$446$	−17.1892	+	3.83098i	−0.813931	+	0.181402i
$447$	−0.707180	−	1.22487i	−0.0334485	−	0.0579344i
$448$	−26.9013	+	7.40250i	−1.27097	+	0.349735i
$449$	−24.0246	+	13.8706i	−1.13379	+	0.654594i	−0.944885	−	0.327402i	$-0.893827\pi$
$449$	−24.0246	+	13.8706i	−1.13379	+	0.654594i	−0.188904	+	0.981996i	$0.560494\pi$
$450$	−4.50219	−	4.90223i	−0.212235	−	0.231093i
$451$	−7.62739	+	4.40367i	−0.359160	+	0.207361i
$452$	18.3519	+	1.56412i	0.863199	+	0.0735699i
$453$	−13.0299	−	7.52283i	−0.612199	−	0.353453i
$454$	19.0238	+	20.7141i	0.892830	+	0.972163i
$455$	42.4111			1.98826
$456$	−6.74489	+	0.911074i	−0.315859	+	0.0426650i
$457$	9.12318	−	5.26727i	0.426764	−	0.246392i	−0.271203	−	0.962522i	$-0.587421\pi$
$457$	9.12318	−	5.26727i	0.426764	−	0.246392i	0.697967	+	0.716130i	$0.254088\pi$
$458$	−5.60208	+	5.14492i	−0.261768	+	0.240407i
$459$	11.6715	−	20.2157i	0.544781	−	0.943588i
$460$	−18.0487	+	25.8997i	−0.841527	+	1.20758i
$461$	−4.18615	+	7.25063i	−0.194969	+	0.337696i	−0.946890	−	0.321557i	$-0.895794\pi$
$461$	−4.18615	+	7.25063i	−0.194969	+	0.337696i	0.751922	+	0.659253i	$0.229127\pi$
$462$	−1.43856	+	4.58045i	−0.0669281	+	0.213102i
$463$	13.6238	−	7.86569i	0.633150	−	0.365549i	−0.148821	−	0.988864i	$-0.547548\pi$
$463$	13.6238	−	7.86569i	0.633150	−	0.365549i	0.781971	+	0.623315i	$0.214214\pi$
$464$	−15.7917	+	18.9921i	−0.733110	+	0.881687i
$465$	−1.24319	+	2.15326i	−0.0576513	+	0.0998550i
$466$	−17.6887	+	3.94230i	−0.819413	+	0.182624i
$467$	−16.9874			−0.786082			−0.393041	−	0.919521i	$-0.628577\pi$
$467$	−16.9874			−0.786082			−0.393041	+	0.919521i	$0.628577\pi$
$468$	−21.1698	+	9.92952i	−0.978576	+	0.458992i
$469$	17.3909	+	10.0406i	0.803035	+	0.463633i
$470$	−21.2621	−	23.1514i	−0.980748	−	1.06789i
$471$	−2.71850			−0.125262
$472$	0.768036	+	5.68595i	0.0353517	+	0.261717i
$473$		−	4.07842i		−	0.187526i
$474$	2.37854	−	7.57337i	0.109250	−	0.347856i
$475$	6.48515			0.297559
$476$	18.0736	+	38.5332i	0.828404	+	1.76617i
$477$	−5.16540	+	2.98224i	−0.236507	+	0.136548i
$478$	−16.6482	−	5.22865i	−0.761473	−	0.239153i
$479$	9.99128	+	5.76847i	0.456513	+	0.263568i	0.710577	−	0.703619i	$-0.248434\pi$
$479$	9.99128	+	5.76847i	0.456513	+	0.263568i	−0.254064	+	0.967187i	$0.581767\pi$
$480$	8.63483	−	5.56930i	0.394124	−	0.254202i
$481$	21.7401	+	18.0006i	0.991264	+	0.820757i
$482$	−13.2817	+	12.1979i	−0.604964	+	0.555597i
$483$	7.27959	−	12.6086i	0.331233	−	0.573712i
$484$	16.3465	−	7.66719i	0.743024	−	0.348509i
$485$	13.1017	−	7.56424i	0.594915	−	0.343475i
$486$	−20.0742	−	6.30463i	−0.910584	−	0.285984i
$487$		−	36.6685i		−	1.66161i	−0.556565	−	0.830804i	$-0.687881\pi$
$487$		−	36.6685i		−	1.66161i	0.556565	−	0.830804i	$-0.312119\pi$
$488$	34.8293	+	14.2897i	1.57665	+	0.646865i
$489$		−	4.49541i		−	0.203289i
$490$	−18.6793	+	4.16308i	−0.843844	+	0.188069i
$491$			37.2517i			1.68114i	0.541700	+	0.840572i	$0.317781\pi$
$491$			37.2517i			1.68114i	−0.541700	+	0.840572i	$0.682219\pi$
$492$	−8.66185	−	0.738244i	−0.390506	−	0.0332826i
$493$	32.6299	+	18.8389i	1.46958	+	0.848460i
$494$	6.82657	−	21.7361i	0.307142	−	0.977952i
$495$			9.27334i			0.416806i
$496$	4.21014	+	3.50067i	0.189041	+	0.157185i
$497$	12.7495	−	22.0827i	0.571892	−	0.990545i
$498$	−9.66833	+	2.15479i	−0.433248	+	0.0965587i
$499$	−11.9236	−	20.6523i	−0.533774	−	0.924523i	−0.999222	−	0.0394480i	$-0.987440\pi$
$499$	−11.9236	−	20.6523i	−0.533774	−	0.924523i	0.465448	−	0.885075i	$-0.345893\pi$
$500$	14.8626	−	6.97116i	0.664675	−	0.311760i
$501$	−2.40578	+	4.16694i	−0.107482	+	0.186165i
$502$	19.7322	−	4.39775i	0.880693	−	0.196281i
$503$	13.9748	+	8.06836i	0.623106	+	0.359750i	0.778077	−	0.628169i	$-0.216195\pi$
$503$	13.9748	+	8.06836i	0.623106	+	0.359750i	−0.154971	+	0.987919i	$0.549529\pi$
$504$	19.6676	−	15.1969i	0.876067	−	0.676924i
$505$	−4.30740	+	2.48688i	−0.191677	+	0.110665i
$506$	11.6758	−	2.60219i	0.519051	−	0.115682i
$507$			5.91300i			0.262605i
$508$	2.87638	−	33.7487i	0.127619	−	1.49736i
$509$	−15.6827	−	9.05444i	−0.695125	−	0.401331i	0.110404	−	0.993887i	$-0.464786\pi$
$509$	−15.6827	−	9.05444i	−0.695125	−	0.401331i	−0.805529	+	0.592556i	$0.798119\pi$
$510$	−10.6021	−	11.5442i	−0.469469	−	0.511184i
$511$	19.1332	+	33.1397i	0.846405	+	1.46602i
$512$	−8.86966	−	20.8166i	−0.391987	−	0.919971i
$513$	11.5026	−	6.64102i	0.507851	−	0.293208i
$514$	20.8316	+	6.54251i	0.918843	+	0.288578i
$515$	29.9487	−	17.2909i	1.31970	−	0.761927i
$516$	2.30158	−	3.30274i	0.101322	−	0.145395i
$517$			11.9112i			0.523853i
$518$	−26.7175	−	13.6486i	−1.17390	−	0.599686i
$519$	−3.81945			−0.167655
$520$	4.60410	+	34.0852i	0.201903	+	1.49474i
$521$	−1.07067	−	1.85446i	−0.0469071	−	0.0812454i	0.841619	−	0.540072i	$-0.181603\pi$
$521$	−1.07067	−	1.85446i	−0.0469071	−	0.0812454i	−0.888526	+	0.458827i	$0.848270\pi$
$522$	6.59288	−	20.9920i	0.288562	−	0.918794i
$523$	−3.65794	−	6.33574i	−0.159951	−	0.277043i	0.774900	−	0.632084i	$-0.217800\pi$
$523$	−3.65794	−	6.33574i	−0.159951	−	0.277043i	−0.934851	+	0.355041i	$0.884467\pi$
$524$	0.827571	−	9.70993i	0.0361526	−	0.424180i
$525$	3.91040	−	2.25767i	0.170664	−	0.0985329i
$526$	−3.44538	−	3.75152i	−0.150226	−	0.163574i
$527$	4.17617	−	7.23334i	0.181917	−	0.315089i
$528$	−3.83741	−	0.658906i	−0.167002	−	0.0286752i
$529$	−13.2756			−0.577198
$530$	1.90851	+	8.56330i	0.0829006	+	0.371966i
$531$	−2.55557	−	4.42637i	−0.110902	−	0.192088i
$532$	−2.05655	+	24.1296i	−0.0891627	+	1.04615i
$533$	14.5499	−	25.2011i	0.630225	−	1.09158i
$534$	16.8919	−	3.76472i	0.730983	−	0.162915i
$535$	32.0961	+	18.5307i	1.38764	+	0.801152i
$536$	−6.18157	+	15.0668i	−0.267003	+	0.650786i
$537$	−11.6019	+	6.69838i	−0.500660	+	0.289056i
$538$	5.05834	+	22.6962i	0.218080	+	0.978504i
$539$	6.28029	+	3.62593i	0.270511	+	0.156180i
$540$	−11.4643	+	16.4510i	−0.493343	+	0.707940i
$541$	−35.7156			−1.53553			−0.767767	−	0.640729i	$-0.778632\pi$
$541$	−35.7156			−1.53553			−0.767767	+	0.640729i	$0.778632\pi$
$542$	−12.8470	+	40.9053i	−0.551825	+	1.75703i
$543$	2.05742	−	3.56355i	0.0882922	−	0.152927i
$544$	−29.0065	+	18.7086i	−1.24365	+	0.802127i
$545$	−1.92200			−0.0823293
$546$	−3.45069	−	15.4829i	−0.147676	−	0.662607i
$547$	−25.8078			−1.10346			−0.551731	−	0.834022i	$-0.686033\pi$
$547$	−25.8078			−1.10346			−0.551731	+	0.834022i	$0.686033\pi$
$548$	5.25933	−	2.46684i	0.224667	−	0.105378i
$549$	−33.5363			−1.43130
$550$	3.53948	+	1.11163i	0.150924	+	0.0474001i
$551$	10.7192	+	18.5662i	0.456652	+	0.790945i
$552$	10.9236	+	4.48173i	0.464941	+	0.190755i
$553$	−24.4606	−	14.1223i	−1.04017	−	0.600542i
$554$	−7.03416	−	7.65918i	−0.298853	−	0.325407i
$555$	10.8932	+	1.84722i	0.462390	+	0.0784101i
$556$	37.3214	+	3.18088i	1.58278	+	0.134899i
$557$	18.5715	−	32.1667i	0.786898	−	1.36295i	−0.140961	−	0.990015i	$-0.545019\pi$
$557$	18.5715	−	32.1667i	0.786898	−	1.36295i	0.927859	−	0.372932i	$-0.121647\pi$
$558$	−4.65346	−	1.46150i	−0.196997	−	0.0618701i
$559$	6.73762	+	11.6699i	0.284971	+	0.493584i
$560$	−12.6582	−	34.2987i	−0.534906	−	1.44938i
$561$			5.93937i			0.250760i
$562$	−34.7216	−	10.9049i	−1.46464	−	0.459995i
$563$	−31.8755			−1.34339			−0.671697	−	0.740826i	$-0.734434\pi$
$563$	−31.8755			−1.34339			−0.671697	+	0.740826i	$0.734434\pi$
$564$	−6.72185	+	9.64576i	−0.283041	+	0.406160i
$565$			24.1343i			1.01534i
$566$	−25.0854	−	27.3143i	−1.05442	−	1.14811i
$567$	−8.55739	+	14.8218i	−0.359377	+	0.622458i
$568$	19.1316	+	7.84929i	0.802746	+	0.329349i
$569$			10.6251i			0.445427i	0.974884	+	0.222714i	$0.0714915\pi$
$569$			10.6251i			0.445427i	−0.974884	+	0.222714i	$0.928509\pi$
$570$	−1.94005	−	8.70478i	−0.0812596	−	0.364603i
$571$	−0.0493315	−	0.0284815i	−0.00206446	−	0.00119192i	0.498967	−	0.866621i	$-0.333713\pi$
$571$	−0.0493315	−	0.0284815i	−0.00206446	−	0.00119192i	−0.501032	+	0.865429i	$0.667046\pi$
$572$	7.45163	−	10.6930i	0.311568	−	0.447096i
$573$	6.04031	+	10.4621i	0.252338	+	0.437061i
$574$	−9.26823	+	29.5104i	−0.386848	+	1.23174i
$575$	−9.74314	−	5.62520i	−0.406317	−	0.234587i
$576$	14.3486	+	14.1568i	0.597860	+	0.589869i
$577$	−5.24502	−	3.02821i	−0.218353	−	0.126066i	0.386834	−	0.922149i	$-0.373568\pi$
$577$	−5.24502	−	3.02821i	−0.218353	−	0.126066i	−0.605187	+	0.796083i	$0.706902\pi$
$578$	19.3529	+	21.0726i	0.804976	+	0.876503i
$579$	−2.75500	−	4.77180i	−0.114494	−	0.198309i
$580$	−26.5534	−	18.5043i	−1.10257	−	0.768349i
$581$			35.2451i			1.46221i
$582$	−3.82745	−	4.16753i	−0.158653	−	0.172750i
$583$	1.66226	−	2.87913i	0.0688439	−	0.119241i
$584$	−24.5569	+	18.9747i	−1.01617	+	0.785179i
$585$	−15.3197	−	26.5345i	−0.633392	−	1.09707i
$586$	−29.5046	+	27.0969i	−1.21882	+	1.11936i
$587$	−11.9031	−	20.6168i	−0.491294	−	0.850946i	0.508656	−	0.860970i	$-0.330143\pi$
$587$	−11.9031	−	20.6168i	−0.491294	−	0.850946i	−0.999950	+	0.0100239i	$0.996809\pi$
$588$	3.03961	+	6.48047i	0.125351	+	0.267250i
$589$	4.11571	−	2.37621i	0.169585	−	0.0979099i
$590$	−7.33813	+	1.63546i	−0.302106	+	0.0673307i
$591$	14.8742			0.611845
$592$	8.06879	−	22.9542i	0.331625	−	0.943411i
$593$	−20.1628			−0.827987			−0.413994	−	0.910280i	$-0.635866\pi$
$593$	−20.1628			−0.827987			−0.413994	+	0.910280i	$0.635866\pi$
$594$	7.41625	−	1.65287i	0.304292	−	0.0678180i
$595$	−48.2979	+	27.8848i	−1.98002	+	1.14317i
$596$	−1.73310	−	3.69498i	−0.0709905	−	0.151352i
$597$	2.21760	+	3.84099i	0.0907602	+	0.157201i
$598$	−29.1099	+	26.7344i	−1.19039	+	1.09325i
$599$	2.61567	+	4.53047i	0.106873	+	0.185110i	0.914502	−	0.404581i	$-0.132583\pi$
$599$	2.61567	+	4.53047i	0.106873	+	0.185110i	−0.807629	+	0.589691i	$0.799249\pi$
$600$	2.23897	+	2.89764i	0.0914055	+	0.118296i
$601$	13.5778	−	23.5174i	0.553849	−	0.959295i	−0.444143	−	0.895956i	$-0.646492\pi$
$601$	13.5778	−	23.5174i	0.553849	−	0.959295i	0.997992	−	0.0633393i	$-0.0201750\pi$
$602$	−9.68866	−	10.5495i	−0.394880	−	0.429967i
$603$		−	14.5075i		−	0.590789i
$604$	−35.6196	−	24.8222i	−1.44934	−	1.01000i
$605$	11.8293	+	20.4889i	0.480929	+	0.832993i
$606$	1.25834	+	1.37015i	0.0511166	+	0.0556586i
$607$	20.5366	+	11.8568i	0.833555	+	0.481253i	0.855068	−	0.518515i	$-0.173515\pi$
$607$	20.5366	+	11.8568i	0.833555	+	0.481253i	−0.0215130	+	0.999769i	$0.506848\pi$
$608$	−19.6159	+	0.966659i	−0.795528	+	0.0392032i
$609$	12.9269	+	7.46332i	0.523823	+	0.302429i
$610$	−14.7810	+	47.0634i	−0.598467	+	1.90554i
$611$	−19.6774	−	34.0823i	−0.796064	−	1.37882i
$612$	17.5798	−	25.2267i	0.710619	−	1.01973i
$613$	−0.108917	−	0.0628834i	−0.00439912	−	0.00253983i	0.497799	−	0.867293i	$-0.334142\pi$
$613$	−0.108917	−	0.0628834i	−0.00439912	−	0.00253983i	−0.502198	+	0.864753i	$0.667475\pi$
$614$	−4.59322	−	20.6093i	−0.185367	−	0.831723i
$615$		−	11.3911i		−	0.459333i
$616$	−5.25852	+	12.8170i	−0.211872	+	0.516410i
$617$	−2.03784	+	3.52965i	−0.0820405	+	0.142098i	−0.904126	−	0.427265i	$-0.859477\pi$
$617$	−2.03784	+	3.52965i	−0.0820405	+	0.142098i	0.822086	+	0.569364i	$0.192810\pi$
$618$	−8.74904	−	9.52644i	−0.351938	−	0.383209i
$619$			28.8858i			1.16102i	0.814254	+	0.580509i	$0.197146\pi$
$619$			28.8858i			1.16102i	−0.814254	+	0.580509i	$0.802854\pi$
$620$	−4.10200	+	5.88631i	−0.164740	+	0.236400i
$621$	−23.0416			−0.924628
$622$	−14.2664	−	4.48061i	−0.572032	−	0.179656i
$623$		−	61.5779i		−	2.46707i
$624$	12.0688	−	4.45408i	0.483138	−	0.178306i
$625$	15.4252	+	26.7173i	0.617010	+	1.06869i
$626$	14.0586	+	4.41534i	0.561895	+	0.176472i
$627$	−1.68973	+	2.92669i	−0.0674812	+	0.116881i
$628$	−7.81610	−	0.666161i	−0.311896	−	0.0265827i
$629$	−36.5929	−	6.20527i	−1.45906	−	0.247420i
$630$	22.0297	+	23.9871i	0.877683	+	0.955669i
$631$	−9.83642	−	5.67906i	−0.391582	−	0.226080i	0.291264	−	0.956643i	$-0.405924\pi$
$631$	−9.83642	−	5.67906i	−0.391582	−	0.226080i	−0.682845	+	0.730563i	$0.739258\pi$
$632$	8.69450	−	21.1917i	0.345849	−	0.842962i
$633$	5.64832	+	9.78318i	0.224501	+	0.388846i
$634$	−27.1258	−	8.51930i	−1.07730	−	0.338345i
$635$	44.3825			1.76127
$636$	2.97090	−	1.39347i	0.117804	−	0.0552547i
$637$	−23.9604			−0.949344
$638$	2.66787	+	11.9705i	0.105622	+	0.473915i
$639$	−18.4214			−0.728739
$640$	26.1912	−	13.8966i	1.03530	−	0.549313i
$641$	20.9224	−	36.2387i	0.826386	−	1.43134i	−0.0744689	−	0.997223i	$-0.523726\pi$
$641$	20.9224	−	36.2387i	0.826386	−	1.43134i	0.900855	−	0.434120i	$-0.142941\pi$
$642$	4.15351	−	13.2249i	0.163926	−	0.521947i
$643$	−26.9915			−1.06444			−0.532221	−	0.846605i	$-0.678643\pi$
$643$	−26.9915			−1.06444			−0.532221	+	0.846605i	$0.678643\pi$
$644$	24.0196	−	34.4679i	0.946507	−	1.35822i
$645$	4.56818	+	2.63744i	0.179872	+	0.103849i
$646$	6.51709	+	29.2415i	0.256412	+	1.15049i
$647$	0.566118	−	0.326848i	0.0222564	−	0.0128497i	−0.488831	−	0.872379i	$-0.662576\pi$
$647$	0.566118	−	0.326848i	0.0222564	−	0.0128497i	0.511087	+	0.859529i	$0.329243\pi$
$648$	−12.8411	−	5.26841i	−0.504445	−	0.206963i
$649$	2.46720	+	1.42444i	0.0968462	+	0.0559142i
$650$	−11.9642	+	2.66648i	−0.469274	+	0.104588i
$651$	1.65446	−	2.86560i	0.0648433	−	0.112312i
$652$	1.10159	−	12.9250i	0.0431415	−	0.506182i
$653$	14.9459	+	25.8871i	0.584878	+	1.01304i	0.994891	+	0.100959i	$0.0321910\pi$
$653$	14.9459	+	25.8871i	0.584878	+	1.01304i	−0.410012	+	0.912080i	$0.634476\pi$
$654$	0.156379	+	0.701658i	0.00611492	+	0.0274370i
$655$	12.7694			0.498942
$656$	−24.7232	−	4.24513i	−0.965280	−	0.165744i
$657$	13.8226	−	23.9414i	0.539270	−	0.934043i
$658$	28.2961	+	30.8103i	1.10309	+	1.20111i
$659$	34.1975	−	19.7439i	1.33215	−	0.769115i	0.346518	−	0.938043i	$-0.387364\pi$
$659$	34.1975	−	19.7439i	1.33215	−	0.769115i	0.985628	+	0.168929i	$0.0540307\pi$
$660$	0.433260	−	5.08345i	0.0168646	−	0.197873i
$661$	−16.0529	−	27.8045i	−0.624387	−	1.08147i	−0.988659	−	0.150177i	$-0.952016\pi$
$661$	−16.0529	−	27.8045i	−0.624387	−	1.08147i	0.364273	−	0.931292i	$-0.381318\pi$
$662$	−3.22893	+	10.2810i	−0.125496	+	0.399584i
$663$	−9.81192	−	16.9947i	−0.381063	−	0.660021i
$664$	−28.3260	+	3.82616i	−1.09926	+	0.148484i
$665$	−31.7325			−1.23053
$666$	1.11162	+	21.6460i	0.0430745	+	0.838764i
$667$		−	37.1911i		−	1.44005i
$668$	−7.93809	+	11.3911i	−0.307134	+	0.440733i
$669$	−7.47472	+	4.31553i	−0.288989	+	0.166848i
$670$	−20.3591	−	6.39411i	−0.786541	−	0.247026i
$671$	16.1884	−	9.34636i	0.624945	−	0.360812i
$672$	−11.4914	+	7.41173i	−0.443291	+	0.285914i
$673$	18.3322	+	31.7524i	0.706656	+	1.22396i	0.966090	+	0.258204i	$0.0831306\pi$
$673$	18.3322	+	31.7524i	0.706656	+	1.22396i	−0.259434	+	0.965761i	$0.583536\pi$
$674$	−6.24233	−	6.79699i	−0.240446	−	0.261810i
$675$	−6.18867	−	3.57303i	−0.238202	−	0.137526i
$676$	−1.44897	+	17.0008i	−0.0557294	+	0.653876i
$677$			19.5264i			0.750461i	0.926931	+	0.375231i	$0.122437\pi$
$677$			19.5264i			0.750461i	−0.926931	+	0.375231i	$0.877563\pi$
$678$	8.81064	−	1.96364i	0.338371	−	0.0754131i
$679$	−17.4359	+	10.0666i	−0.669130	+	0.386323i
$680$	−27.6538	−	35.7892i	−1.06047	−	1.37245i
$681$	11.9370	+	6.89184i	0.457427	+	0.264096i
$682$	2.65359	−	0.591409i	0.101611	−	0.0226462i
$683$	15.1594	−	26.2569i	0.580060	−	1.00469i	−0.415412	−	0.909633i	$-0.636363\pi$
$683$	15.1594	−	26.2569i	0.580060	−	1.00469i	0.995472	−	0.0950594i	$-0.0303041\pi$
$684$	15.8395	−	7.42939i	0.605640	−	0.284070i
$685$	3.80595	+	6.59210i	0.145418	+	0.251871i
$686$	−8.84036	+	1.97026i	−0.337526	+	0.0752250i
$687$	−1.86388	+	3.22833i	−0.0711113	+	0.123168i
$688$	7.42673	−	8.93189i	0.283141	−	0.340525i
$689$			10.9843i			0.418470i
$690$	−4.63582	+	14.7606i	−0.176483	+	0.561928i
$691$	36.4542	+	21.0469i	1.38678	+	0.800660i	0.992951	−	0.118522i	$-0.0378156\pi$
$691$	36.4542	+	21.0469i	1.38678	+	0.800660i	0.393833	+	0.919182i	$0.371149\pi$
$692$	−10.9815	−	0.935947i	−0.417454	−	0.0355794i
$693$		−	12.3412i		−	0.468802i
$694$	29.3504	−	6.54137i	1.11413	−	0.248307i
$695$			49.0809i			1.86174i
$696$	−4.59484	+	11.1993i	−0.174167	+	0.424510i
$697$			38.2655i			1.44941i
$698$	39.0613	+	12.2679i	1.47849	+	0.464345i
$699$	−7.69194	+	4.44094i	−0.290936	+	0.167972i
$700$	11.7962	−	5.53292i	0.445856	−	0.209125i
$701$	−5.19744	+	9.00222i	−0.196304	+	0.340009i	−0.947327	−	0.320267i	$-0.896227\pi$
$701$	−5.19744	+	9.00222i	−0.196304	+	0.340009i	0.751023	+	0.660276i	$0.229561\pi$
$702$	−18.4901	+	16.9812i	−0.697863	+	0.640915i
$703$	−16.2662	−	13.4683i	−0.613492	−	0.507966i
$704$	−10.8717	−	2.83480i	−0.409741	−	0.106841i
$705$	−13.3415	−	7.70273i	−0.502471	−	0.290102i
$706$	9.13542	+	2.86913i	0.343816	+	0.107981i
$707$	5.73238	−	3.30959i	0.215588	−	0.124470i
$708$	1.19410	+	2.54584i	0.0448772	+	0.0956786i
$709$	47.5114			1.78433			0.892163	−	0.451713i	$-0.149187\pi$
$709$	47.5114			1.78433			0.892163	+	0.451713i	$0.149187\pi$
$710$	−8.11917	+	25.8518i	−0.304707	+	0.970199i
$711$			20.4050i			0.765248i
$712$	49.4893	−	6.68482i	1.85469	−	0.250524i
$713$	−8.24447			−0.308758
$714$	14.1095	+	15.3632i	0.528035	+	0.574953i
$715$	14.7900	+	8.53901i	0.553114	+	0.319341i
$716$	−34.9988	+	16.4158i	−1.30796	+	0.613489i
$717$	−8.55220			−0.319388
$718$	−14.2860	+	3.18393i	−0.533147	+	0.118823i
$719$	−13.7518	+	23.8189i	−0.512857	+	0.888294i	0.487032	+	0.873384i	$0.338079\pi$
$719$	−13.7518	+	23.8189i	−0.512857	+	0.888294i	−0.999889	+	0.0149099i	$0.995254\pi$
$720$	−16.8866	+	20.3089i	−0.629326	+	0.756869i
$721$	−39.8563	+	23.0110i	−1.48433	+	0.856976i
$722$	2.94352	−	9.37228i	0.109546	−	0.348800i
$723$	−4.41898	+	7.65389i	−0.164343	+	0.284651i
$724$	6.78862	−	9.74158i	0.252297	−	0.362043i
$725$	5.76718	−	9.98905i	0.214188	−	0.370984i
$726$	6.51737	−	5.98552i	0.241882	−	0.222144i
$727$	−7.83020	+	4.52077i	−0.290406	+	0.167666i	−0.638125	−	0.769933i	$-0.720290\pi$
$727$	−7.83020	+	4.52077i	−0.290406	+	0.167666i	0.347719	+	0.937599i	$0.386956\pi$
$728$	−6.12723	−	45.3613i	−0.227090	−	1.68120i
$729$	4.40966			0.163321
$730$	−27.5060	−	29.9501i	−1.01804	−	1.10850i
$731$	−15.3457	−	8.85982i	−0.567579	−	0.327692i
$732$	18.3839	+	1.56685i	0.679489	+	0.0579125i
$733$	1.85986	−	1.07379i	0.0686954	−	0.0396613i	−0.465259	−	0.885175i	$-0.654039\pi$
$733$	1.85986	−	1.07379i	0.0686954	−	0.0396613i	0.533954	+	0.845513i	$0.320705\pi$
$734$	21.4586	+	23.3653i	0.792053	+	0.862431i
$735$	−8.12269	+	4.68964i	−0.299610	+	0.172980i
$736$	30.3089	+	15.5625i	1.11720	+	0.573640i
$737$	4.04313	+	7.00291i	0.148931	+	0.257956i
$738$	21.8110	−	4.86106i	0.802876	−	0.178938i
$739$		−	3.19816i		−	0.117646i	−0.998268	−	0.0588231i	$-0.981265\pi$
$739$		−	3.19816i		−	0.117646i	0.998268	−	0.0588231i	$-0.0187348\pi$
$740$	30.8669	+	7.98039i	1.13469	+	0.293365i
$741$		−	11.1658i		−	0.410187i
$742$	−2.53989	−	11.3962i	−0.0932423	−	0.418368i
$743$	5.72632	+	9.91827i	0.210078	+	0.363866i	0.951739	−	0.306909i	$-0.0992948\pi$
$743$	5.72632	+	9.91827i	0.210078	+	0.363866i	−0.741661	+	0.670775i	$0.765961\pi$
$744$	2.48265	+	1.01858i	0.0910183	+	0.0373428i
$745$	4.63133	−	2.67390i	0.169679	−	0.0979642i
$746$	−12.8264	+	11.7797i	−0.469606	+	0.431285i
$747$	22.0511	−	12.7312i	0.806807	−	0.465810i
$748$	−1.45543	+	17.0766i	−0.0532157	+	0.624382i
$749$	−42.7141	−	24.6610i	−1.56074	−	0.901094i
$750$	5.92571	−	5.44215i	0.216377	−	0.198719i
$751$	−12.7402			−0.464898			−0.232449	−	0.972609i	$-0.574674\pi$
$751$	−12.7402			−0.464898			−0.232449	+	0.972609i	$0.574674\pi$
$752$	−21.6900	+	26.0859i	−0.790953	+	0.951253i
$753$	8.58057	−	4.95399i	0.312693	−	0.180534i
$754$	−27.4092	−	29.8446i	−0.998183	−	1.08688i
$755$	28.4444	−	49.2672i	1.03520	−	1.79302i
$756$	15.2569	−	21.8934i	0.554887	−	0.796255i
$757$	−7.72440	+	13.3791i	−0.280748	+	0.486270i	−0.971569	−	0.236756i	$-0.923916\pi$
$757$	−7.72440	+	13.3791i	−0.280748	+	0.486270i	0.690821	+	0.723026i	$0.257249\pi$
$758$	37.2919	+	11.7121i	1.35450	+	0.425404i
$759$	5.07721	−	2.93133i	0.184291	−	0.106401i
$760$	−3.44484	−	25.5030i	−0.124958	−	0.925090i
$761$	23.7367	−	41.1132i	0.860454	−	1.49035i	−0.0110363	−	0.999939i	$-0.503513\pi$
$761$	23.7367	−	41.1132i	0.860454	−	1.49035i	0.871491	−	0.490412i	$-0.163154\pi$
$762$	−3.61110	−	16.2026i	−0.130816	−	0.586958i
$763$	2.55783			0.0925998
$764$	14.8031	+	31.5604i	0.535557	+	1.14181i
$765$	34.8923	+	20.1451i	1.26153	+	0.728346i
$766$	−17.0032	+	15.6157i	−0.614350	+	0.564216i
$767$	−9.41278			−0.339876
$768$	−7.20420	−	8.43087i	−0.259959	−	0.304223i
$769$		−	26.9989i		−	0.973603i	−0.873512	−	0.486802i	$-0.838163\pi$
$769$		−	26.9989i		−	0.973603i	0.873512	−	0.486802i	$-0.161837\pi$
$770$	−17.3190	−	5.43932i	−0.624134	−	0.196020i
$771$	10.7012			0.385394
$772$	−6.75172	−	14.3947i	−0.243000	−	0.518078i
$773$	25.6379	−	14.8020i	0.922130	−	0.532392i	0.0378164	−	0.999285i	$-0.487960\pi$
$773$	25.6379	−	14.8020i	0.922130	−	0.532392i	0.884314	+	0.466892i	$0.154626\pi$
$774$	−3.10059	+	9.87241i	−0.111448	+	0.354856i
$775$	−2.21435	−	1.27846i	−0.0795420	−	0.0459236i
$776$	−9.98325	−	12.9202i	−0.358378	−	0.463808i
$777$	−14.4969	−	2.45832i	−0.520073	−	0.0881917i
$778$	4.24321	+	4.62024i	0.152127	+	0.165644i
$779$	−10.8864	+	18.8558i	−0.390046	+	0.675579i
$780$	7.15822	+	15.2614i	0.256306	+	0.546446i
$781$	8.89222	−	5.13393i	0.318189	−	0.183706i
$782$	15.5729	−	49.5847i	0.556885	−	1.77314i
$783$		−	23.6232i		−	0.844223i
$784$	7.15131	+	19.3772i	0.255404	+	0.692043i
$785$		−	10.2789i		−	0.366868i
$786$	−1.03896	−	4.66169i	−0.0370584	−	0.166277i
$787$		−	15.9305i		−	0.567861i	−0.958845	−	0.283931i	$-0.908361\pi$
$787$		−	15.9305i		−	0.567861i	0.958845	−	0.283931i	$-0.0916386\pi$
$788$	42.7657	+	3.64490i	1.52347	+	0.129844i
$789$	−2.16190	−	1.24817i	−0.0769658	−	0.0444362i
$790$	28.6355	+	8.99345i	1.01880	+	0.319972i
$791$		−	32.1184i		−	1.14200i
$792$	9.91841	−	1.33974i	0.352435	−	0.0476056i
$793$	−30.8807	+	53.4869i	−1.09660	+	1.89937i
$794$	−0.422777	−	1.89696i	−0.0150038	−	0.0673205i
$795$	2.14991	+	3.72375i	0.0762494	+	0.132068i
$796$	5.43471	+	11.5869i	0.192628	+	0.410685i
$797$	10.3462	−	17.9201i	0.366480	−	0.634761i	−0.622533	−	0.782594i	$-0.713896\pi$
$797$	10.3462	−	17.9201i	0.366480	−	0.634761i	0.989012	+	0.147832i	$0.0472296\pi$
$798$	2.58185	+	11.5845i	0.0913966	+	0.410087i
$799$	44.8175	+	25.8754i	1.58553	+	0.915405i
$800$	5.72731	+	8.87983i	0.202491	+	0.313949i
$801$	−38.5262	+	22.2431i	−1.36126	+	0.785922i
$802$	−4.30027	−	19.2949i	−0.151848	−	0.681325i
$803$			15.4091i			0.543774i
$804$	−0.677802	+	7.95268i	−0.0239042	+	0.280469i
$805$	47.6742	+	27.5247i	1.68029	+	0.970118i
$806$	−6.61590	+	6.07601i	−0.233035	+	0.214018i
$807$	5.69814	+	9.86946i	0.200584	+	0.347421i
$808$	3.28217	+	4.24775i	0.115466	+	0.149435i
$809$	−19.5032	+	11.2602i	−0.685695	+	0.395886i	−0.801997	−	0.597328i	$-0.796229\pi$
$809$	−19.5032	+	11.2602i	−0.685695	+	0.395886i	0.116302	+	0.993214i	$0.462896\pi$
$810$	5.44956	−	17.3516i	0.191478	−	0.609673i
$811$	−47.9210	+	27.6672i	−1.68274	+	0.971528i	−0.722904	+	0.690948i	$0.757193\pi$
$811$	−47.9210	+	27.6672i	−1.68274	+	0.971528i	−0.959831	+	0.280579i	$0.909473\pi$
$812$	35.3378	+	24.6259i	1.24011	+	0.864199i
$813$			21.0130i			0.736959i
$814$	−6.56919	−	10.1390i	−0.230250	−	0.355370i
$815$	16.9975			0.595396
$816$	−10.8155	+	13.0074i	−0.378617	+	0.455350i
$817$	−5.04117	−	8.73156i	−0.176368	−	0.305479i
$818$	21.0447	+	6.60945i	0.735812	+	0.231094i
$819$	20.3878	+	35.3127i	0.712406	+	1.23392i
$820$	2.79136	−	32.7511i	0.0974785	−	1.14372i
$821$	−25.1480	+	14.5192i	−0.877671	+	0.506724i	−0.869890	−	0.493246i	$-0.835810\pi$
$821$	−25.1480	+	14.5192i	−0.877671	+	0.506724i	−0.00778147	+	0.999970i	$0.502477\pi$
$822$	2.09689	−	1.92578i	0.0731376	−	0.0671693i
$823$	20.3878	−	35.3127i	0.710674	−	1.23092i	−0.253930	−	0.967223i	$-0.581723\pi$
$823$	20.3878	−	35.3127i	0.710674	−	1.23092i	0.964604	−	0.263701i	$-0.0849434\pi$
$824$	−22.8204	−	29.5339i	−0.794986	−	1.02886i
$825$	1.81823			0.0633026
$826$	9.76573	−	2.17650i	0.339793	−	0.0757302i
$827$	4.58292	+	7.93785i	0.159364	+	0.276026i	0.934639	−	0.355597i	$-0.115722\pi$
$827$	4.58292	+	7.93785i	0.159364	+	0.276026i	−0.775276	+	0.631623i	$0.782389\pi$
$828$	−30.2412	−	2.57744i	−1.05095	−	0.0895721i
$829$	−17.0732	+	29.5717i	−0.592977	+	1.02707i	0.400852	+	0.916143i	$0.368714\pi$
$829$	−17.0732	+	29.5717i	−0.592977	+	1.02707i	−0.993829	+	0.110924i	$0.964619\pi$
$830$	−8.14745	−	36.5567i	−0.282802	−	1.26890i
$831$	−4.41378	−	2.54830i	−0.153112	−	0.0883995i
$832$	35.7911	−	9.84873i	1.24083	−	0.341443i
$833$	27.2861	−	15.7537i	0.945409	−	0.545832i
$834$	17.9178	−	3.99337i	0.620443	−	0.138279i
$835$	−15.7555	−	9.09646i	−0.545242	−	0.314796i
$836$	−5.57540	+	8.00063i	−0.192829	+	0.276707i
$837$	−5.23674			−0.181008
$838$	−26.2667	−	8.24949i	−0.907368	−	0.284974i
$839$	−5.81696	+	10.0753i	−0.200824	+	0.347837i	−0.948794	−	0.315895i	$-0.897695\pi$
$839$	−5.81696	+	10.0753i	−0.200824	+	0.347837i	0.747970	+	0.663732i	$0.231029\pi$
$840$	−10.9555	−	14.1785i	−0.378001	−	0.489204i
$841$	9.12983			0.314822
$842$	11.8850	−	2.64884i	0.409586	−	0.0912849i
$843$	−17.8365			−0.614321
$844$	13.8424	+	29.5122i	0.476476	+	1.01585i
$845$	−22.3575			−0.769122
$846$	9.05538	−	28.8327i	0.311330	−	0.991288i
$847$	−15.7427	−	27.2671i	−0.540924	−	0.936908i
$848$	8.88325	−	3.27843i	0.305052	−	0.112582i
$849$	−15.7405	−	9.08779i	−0.540213	−	0.311892i
$850$	11.8717	−	10.9029i	0.407196	−	0.373967i
$851$	12.7556	+	34.3437i	0.437258	+	1.17729i
$852$	10.0982	+	0.860666i	0.345960	+	0.0294859i
$853$	28.1032	−	48.6762i	0.962235	−	1.66664i	0.245368	−	0.969430i	$-0.421091\pi$
$853$	28.1032	−	48.6762i	0.962235	−	1.66664i	0.716867	−	0.697210i	$-0.245576\pi$
$854$	19.6709	−	62.6329i	0.673124	−	2.14325i
$855$	11.4624	+	19.8534i	0.392005	+	0.678973i
$856$	15.1827	−	37.0059i	0.518935	−	1.26484i
$857$			1.03365i			0.0353088i	0.999844	+	0.0176544i	$0.00561987\pi$
$857$			1.03365i			0.0353088i	−0.999844	+	0.0176544i	$0.994380\pi$
$858$	1.91395	−	6.09410i	0.0653412	−	0.208049i
$859$	13.4962			0.460486			0.230243	−	0.973133i	$-0.426048\pi$
$859$	13.4962			0.460486			0.230243	+	0.973133i	$0.426048\pi$
$860$	12.4879	+	8.70246i	0.425834	+	0.296752i
$861$			15.1595i			0.516634i
$862$	13.6754	−	12.5595i	0.465787	−	0.427777i
$863$	17.0449	−	29.5227i	0.580216	−	1.00496i	−0.415238	−	0.909713i	$-0.636302\pi$
$863$	17.0449	−	29.5227i	0.580216	−	1.00496i	0.995453	−	0.0952500i	$-0.0303650\pi$
$864$	19.2517	+	9.88500i	0.654955	+	0.336295i
$865$		−	14.4416i		−	0.491030i
$866$	−34.8209	+	7.76058i	−1.18326	+	0.263715i
$867$	12.1436	+	7.01109i	0.412417	+	0.238109i
$868$	5.45902	−	7.83362i	0.185291	−	0.265891i
$869$	−5.68675	−	9.84974i	−0.192910	−	0.334129i
$870$	−15.1332	−	4.75283i	−0.513063	−	0.161136i
$871$	−23.1378	−	13.3586i	−0.783996	−	0.452640i
$872$	0.277675	+	2.05569i	0.00940327	+	0.0696146i
$873$	12.5964	+	7.27253i	0.426323	+	0.246138i
$874$	21.7804	−	20.0030i	0.736732	−	0.676612i
$875$	−14.3135	−	24.7918i	−0.483886	−	0.838114i
$876$	−8.69582	+	12.4784i	−0.293804	+	0.421605i
$877$			9.79987i			0.330918i	0.986217	+	0.165459i	$0.0529106\pi$
$877$			9.79987i			0.330918i	−0.986217	+	0.165459i	$0.947089\pi$
$878$	−14.4923	+	13.3096i	−0.489090	+	0.449178i
$879$	−9.81653	+	17.0027i	−0.331103	+	0.573488i
$880$	2.49137	−	14.5095i	0.0839842	−	0.489116i
$881$	4.17589	+	7.23285i	0.140689	+	0.243681i	0.927756	−	0.373187i	$-0.121735\pi$
$881$	4.17589	+	7.23285i	0.140689	+	0.243681i	−0.787067	+	0.616867i	$0.788402\pi$
$882$	−12.4458	−	13.5516i	−0.419071	−	0.456307i
$883$	−25.2912	−	43.8056i	−0.851117	−	1.47418i	−0.880202	−	0.474600i	$-0.842593\pi$
$883$	−25.2912	−	43.8056i	−0.851117	−	1.47418i	0.0290850	−	0.999577i	$-0.490741\pi$
$884$	−24.0463	−	51.2669i	−0.808763	−	1.72429i
$885$	−3.19099	+	1.84232i	−0.107264	+	0.0619288i
$886$	1.71527	+	7.69624i	0.0576257	+	0.258560i
$887$	−35.2796			−1.18457			−0.592286	−	0.805728i	$-0.701774\pi$
$887$	−35.2796			−1.18457			−0.592286	+	0.805728i	$0.701774\pi$
$888$	0.401952	−	11.9178i	0.0134886	−	0.399935i
$889$	−59.0652			−1.98098
$890$	14.2347	+	63.8695i	0.477148	+	2.14091i
$891$	−5.96842	+	3.44587i	−0.199950	+	0.115441i
$892$	−22.5485	+	10.5762i	−0.754979	+	0.354116i
$893$	14.7229	+	25.5008i	0.492683	+	0.853352i
$894$	−1.35297	−	1.47319i	−0.0452502	−	0.0492709i
$895$	−25.3271	−	43.8678i	−0.846591	−	1.46634i
$896$	−34.8558	+	18.4939i	−1.16445	+	0.617839i
$897$	−9.68520	+	16.7753i	−0.323379	+	0.560110i
$898$	−28.8951	+	26.5371i	−0.964242	+	0.885556i
$899$		−	8.45255i		−	0.281908i
$900$	−7.72270	−	5.38172i	−0.257423	−	0.179391i
$901$	−7.22208	−	12.5090i	−0.240602	−	0.416736i
$902$	−9.17370	+	8.42509i	−0.305451	+	0.280525i
$903$	−6.07943	−	3.50996i	−0.202311	−	0.116804i
$904$	25.8131	−	3.48674i	0.858531	−	0.115967i
$905$	13.4741	+	7.77925i	0.447893	+	0.258591i
$906$	−20.3001	−	6.37559i	−0.674427	−	0.211815i
$907$	9.36007	+	16.2121i	0.310796	+	0.538315i	0.978535	−	0.206081i	$-0.0660710\pi$
$907$	9.36007	+	16.2121i	0.310796	+	0.538315i	−0.667739	+	0.744396i	$0.732738\pi$
$908$	32.6319	+	22.7402i	1.08293	+	0.754661i
$909$	−4.14129	−	2.39097i	−0.137358	−	0.0793036i
$910$	58.5420	−	13.0473i	1.94065	−	0.432515i
$911$			32.3563i			1.07201i	0.844214	+	0.536007i	$0.180068\pi$
$911$			32.3563i			1.07201i	−0.844214	+	0.536007i	$0.819932\pi$
$912$	−9.03001	+	3.33260i	−0.299014	+	0.110353i
$913$	−7.09620	+	12.2910i	−0.234850	+	0.406772i
$914$	10.9727	−	10.0773i	0.362946	−	0.333328i
$915$			24.1765i			0.799249i
$916$	−6.15002	+	8.82520i	−0.203203	+	0.291593i
$917$	−16.9938			−0.561184
$918$	9.89162	−	31.4953i	0.326472	−	1.03950i
$919$			39.7288i			1.31053i	0.755399	+	0.655266i	$0.227443\pi$
$919$			39.7288i			1.31053i	−0.755399	+	0.655266i	$0.772557\pi$
$920$	−16.9458	+	41.3031i	−0.558685	+	1.36172i
$921$	−5.17419	−	8.96195i	−0.170495	−	0.295306i
$922$	−3.54776	+	11.2962i	−0.116839	+	0.372021i
$923$	−16.9626	+	29.3802i	−0.558332	+	0.967060i
$924$	−0.576591	+	6.76516i	−0.0189684	+	0.222558i
$925$	−1.89963	+	11.2023i	−0.0624595	+	0.368328i
$926$	16.3857	−	15.0486i	0.538468	−	0.494527i
$927$	28.7937	+	16.6241i	0.945710	+	0.546006i
$928$	−15.9552	+	31.0739i	−0.523757	+	1.02005i
$929$	−16.7015	−	28.9279i	−0.547960	−	0.949095i	−0.998414	−	0.0562951i	$-0.982071\pi$
$929$	−16.7015	−	28.9279i	−0.547960	−	0.949095i	0.450454	−	0.892800i	$-0.351262\pi$
$930$	−1.05360	+	3.35470i	−0.0345489	+	0.110005i
$931$	17.9274			0.587548
$932$	−23.2037	+	10.8835i	−0.760064	+	0.356501i
$933$	−7.32867			−0.239930
$934$	−23.4485	+	5.22599i	−0.767257	+	0.171000i
$935$	−22.4572			−0.734429
$936$	−26.1670	+	20.2189i	−0.855295	+	0.660874i
$937$	12.2026	−	21.1356i	0.398643	−	0.690470i	−0.594916	−	0.803788i	$-0.702815\pi$
$937$	12.2026	−	21.1356i	0.398643	−	0.690470i	0.993559	+	0.113318i	$0.0361480\pi$
$938$	27.0943	+	8.50942i	0.884661	+	0.277842i
$939$	7.22190			0.235678
$940$	−36.4714	−	25.4158i	−1.18956	−	0.828973i
$941$	7.02050	+	4.05329i	0.228862	+	0.132133i	0.610047	−	0.792365i	$-0.291151\pi$
$941$	7.02050	+	4.05329i	0.228862	+	0.132133i	−0.381185	+	0.924499i	$0.624484\pi$
$942$	−3.75247	+	0.836318i	−0.122262	+	0.0272487i
$943$	32.7109	−	18.8857i	1.06521	−	0.615002i
$944$	2.80938	+	7.61230i	0.0914375	+	0.247759i
$945$	30.2818	+	17.4832i	0.985067	+	0.568729i
$946$	−1.25469	−	5.62964i	−0.0407933	−	0.183035i
$947$	−29.3977	+	50.9184i	−0.955298	+	1.65462i	−0.221613	+	0.975135i	$0.571132\pi$
$947$	−29.3977	+	50.9184i	−0.955298	+	1.65462i	−0.733685	+	0.679490i	$0.762201\pi$
$948$	0.953342	−	11.1856i	0.0309631	−	0.363292i
$949$	−25.4560	−	44.0911i	−0.826337	−	1.43126i
$950$	8.95176	−	1.99509i	0.290433	−	0.0647293i
$951$	−13.9345			−0.451858
$952$	36.8022	+	47.6290i	1.19277	+	1.54367i
$953$	26.1096	−	45.2231i	0.845772	−	1.46492i	−0.0391763	−	0.999232i	$-0.512473\pi$
$953$	26.1096	−	45.2231i	0.845772	−	1.46492i	0.884949	−	0.465688i	$-0.154193\pi$
$954$	−6.21258	+	5.70561i	−0.201140	+	0.184726i
$955$	−39.5581	+	22.8389i	−1.28007	+	0.739049i
$956$	−24.5889	−	2.09570i	−0.795261	−	0.0677796i
$957$	3.00531	+	5.20536i	0.0971480	+	0.168265i
$958$	15.5660	+	4.88877i	0.502916	+	0.157949i
$959$	−5.06504	−	8.77290i	−0.163559	−	0.283292i
$960$	10.2057	−	10.3440i	0.329388	−	0.333850i
$961$	29.1263			0.939557
$962$	35.5466	+	18.1590i	1.14607	+	0.585468i
$963$			35.6321i			1.14823i
$964$	−14.5808	+	20.9232i	−0.469616	+	0.673892i
$965$	18.0425	−	10.4169i	0.580810	−	0.335331i
$966$	6.16945	−	19.6438i	0.198499	−	0.632028i
$967$	−33.2292	+	19.1849i	−1.06858	+	0.616945i	−0.927793	−	0.373095i	$-0.878297\pi$
$967$	−33.2292	+	19.1849i	−1.06858	+	0.616945i	−0.140787	+	0.990040i	$0.544963\pi$
$968$	20.2052	−	15.6122i	0.649418	−	0.501796i
$969$	7.34140	+	12.7157i	0.235840	+	0.408486i
$970$	15.7578	−	14.4719i	0.505951	−	0.464664i
$971$	13.5779	+	7.83921i	0.435736	+	0.251572i	0.701787	−	0.712387i	$-0.252386\pi$
$971$	13.5779	+	7.83921i	0.435736	+	0.251572i	−0.266051	+	0.963959i	$0.585719\pi$
$972$	−29.6489	−	2.52696i	−0.950989	−	0.0810522i
$973$		−	65.3179i		−	2.09399i
$974$	−11.2807	−	50.6152i	−0.361457	−	1.62182i
$975$	−5.20263	+	3.00374i	−0.166618	+	0.0961967i
$976$	52.4726	+	9.00987i	1.67961	+	0.288399i
$977$	−8.60492	−	4.96805i	−0.275296	−	0.158942i	0.355996	−	0.934487i	$-0.384142\pi$
$977$	−8.60492	−	4.96805i	−0.275296	−	0.158942i	−0.631292	+	0.775545i	$0.717475\pi$
$978$	−1.38297	−	6.20522i	−0.0442224	−	0.198421i
$979$	12.3980	−	21.4740i	0.396243	−	0.686312i
$980$	−24.5032	+	11.4930i	−0.782725	+	0.367130i
$981$	−0.923939	−	1.60031i	−0.0294991	−	0.0510939i
$982$	11.4601	+	51.4202i	0.365706	+	1.64089i
$983$	5.40211	−	9.35672i	0.172300	−	0.298433i	−0.766923	−	0.641739i	$-0.778213\pi$
$983$	5.40211	−	9.35672i	0.172300	−	0.298433i	0.939224	+	0.343306i	$0.111547\pi$
$984$	−12.1835	+	1.64570i	−0.388395	+	0.0524629i
$985$			56.2407i			1.79198i
$986$	50.8362	+	15.9659i	1.61895	+	0.508459i
$987$	17.7552	+	10.2509i	0.565153	+	0.326291i
$988$	2.73616	−	32.1034i	0.0870487	−	1.02135i
$989$			17.4908i			0.556175i
$990$	2.85285	+	12.8004i	0.0906695	+	0.406824i
$991$		−	25.7334i		−	0.817450i	−0.912658	−	0.408725i	$-0.865974\pi$
$991$		−	25.7334i		−	0.817450i	0.912658	−	0.408725i	$-0.134026\pi$
$992$	6.88840	+	3.53693i	0.218707	+	0.112298i
$993$			5.28137i			0.167599i
$994$	10.8052	−	34.4041i	0.342719	−	1.09123i
$995$	−14.5231	+	8.38491i	−0.460413	+	0.265819i
$996$	−12.6828	+	5.94873i	−0.401868	+	0.188493i
$997$	−0.571620	+	0.990075i	−0.0181034	+	0.0313560i	−0.874935	−	0.484240i	$-0.839096\pi$
$997$	−0.571620	+	0.990075i	−0.0181034	+	0.0313560i	0.856832	+	0.515596i	$0.172429\pi$
$998$	−22.8122	−	24.8391i	−0.722107	−	0.786269i
$999$	8.10217	+	21.8145i	0.256341	+	0.690181i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.q.a.101.35	yes	72
4.3	odd	2		1184.2.y.a.1137.14		72
8.3	odd	2		1184.2.y.a.1137.23		72
8.5	even	2	inner	296.2.q.a.101.23	yes	72
37.11	even	6	inner	296.2.q.a.85.23	✓	72
148.11	odd	6		1184.2.y.a.529.23		72
296.11	odd	6		1184.2.y.a.529.14		72
296.85	even	6	inner	296.2.q.a.85.35	yes	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.q.a.85.23	✓	72	37.11	even	6	inner
296.2.q.a.85.35	yes	72	296.85	even	6	inner
296.2.q.a.101.23	yes	72	8.5	even	2	inner
296.2.q.a.101.35	yes	72	1.1	even	1	trivial
1184.2.y.a.529.14		72	296.11	odd	6
1184.2.y.a.529.23		72	148.11	odd	6
1184.2.y.a.1137.14		72	4.3	odd	2
1184.2.y.a.1137.23		72	8.3	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 296 = 2^{3} \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	296.q (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.38035 - 0.307640i) q^{2} +(0.600244 - 0.346551i) q^{3} +(1.81072 - 0.849299i) q^{4} +(1.31034 + 2.26957i) q^{5} +(0.721932 - 0.663020i) q^{6} +(-1.74382 - 3.02039i) q^{7} +(2.23814 - 1.72938i) q^{8} +(-1.25980 + 2.18205i) q^{9} +(2.50693 + 2.72968i) q^{10} -1.40440i q^{11} +(0.792546 - 1.13729i) q^{12} +(2.32009 + 4.01851i) q^{13} +(-3.33627 - 3.63272i) q^{14} +(1.57304 + 0.908198i) q^{15} +(2.55738 - 3.07568i) q^{16} +(-5.28425 - 3.05086i) q^{17} +(-1.06768 + 3.39955i) q^{18} +(-1.73592 - 3.00670i) q^{19} +(4.30019 + 2.99668i) q^{20} +(-2.09344 - 1.20865i) q^{21} +(-0.432049 - 1.93856i) q^{22} +6.02292i q^{23} +(0.744112 - 1.81368i) q^{24} +(-0.933966 + 1.61768i) q^{25} +(4.43878 + 4.83318i) q^{26} +3.82565i q^{27} +(-5.72278 - 3.98804i) q^{28} -6.17494 q^{29} +(2.45074 + 0.769697i) q^{30} +1.36885i q^{31} +(2.58387 - 5.03226i) q^{32} +(-0.486696 - 0.842982i) q^{33} +(-8.23266 - 2.58560i) q^{34} +(4.56999 - 7.91546i) q^{35} +(-0.427938 + 5.02101i) q^{36} +(5.70217 - 2.11785i) q^{37} +(-3.32115 - 3.61625i) q^{38} +(2.78524 + 1.60806i) q^{39} +(6.85765 + 2.81354i) q^{40} +(-3.13563 - 5.43107i) q^{41} +(-3.26150 - 1.02433i) q^{42} +2.90404 q^{43} +(-1.19275 - 2.54296i) q^{44} -6.60307 q^{45} +(1.85289 + 8.31372i) q^{46} -8.48133 q^{47} +(0.469173 - 2.73242i) q^{48} +(-2.58184 + 4.47188i) q^{49} +(-0.791535 + 2.52028i) q^{50} -4.22912 q^{51} +(7.61393 + 5.30593i) q^{52} +(2.05008 + 1.18361i) q^{53} +(1.17692 + 5.28073i) q^{54} +(3.18738 - 1.84023i) q^{55} +(-9.12631 - 3.74432i) q^{56} +(-2.08395 - 1.20317i) q^{57} +(-8.52355 + 1.89966i) q^{58} +(-1.01427 + 1.75677i) q^{59} +(3.61967 + 0.308502i) q^{60} +(6.65507 + 11.5269i) q^{61} +(0.421112 + 1.88949i) q^{62} +8.78751 q^{63} +(2.01852 - 7.74116i) q^{64} +(-6.08019 + 10.5312i) q^{65} +(-0.931144 - 1.01388i) q^{66} +(-4.98642 + 2.87891i) q^{67} +(-12.1594 - 1.03633i) q^{68} +(2.08725 + 3.61522i) q^{69} +(3.87306 - 12.3320i) q^{70} +(3.65561 + 6.33170i) q^{71} +(0.953961 + 7.06239i) q^{72} -10.9720 q^{73} +(7.21943 - 4.67758i) q^{74} +1.29467i q^{75} +(-5.69684 - 3.96996i) q^{76} +(-4.24183 + 2.44902i) q^{77} +(4.33930 + 1.36283i) q^{78} +(7.01349 - 4.04924i) q^{79} +(10.3315 + 1.77398i) q^{80} +(-2.45363 - 4.24981i) q^{81} +(-5.99907 - 6.53212i) q^{82} +(-8.75178 - 5.05285i) q^{83} +(-4.81713 - 0.410561i) q^{84} -15.9906i q^{85} +(4.00858 - 0.893397i) q^{86} +(-3.70647 + 2.13993i) q^{87} +(-2.42873 - 3.14324i) q^{88} +(15.2905 + 8.82800i) q^{89} +(-9.11453 + 2.03137i) q^{90} +(8.09164 - 14.0151i) q^{91} +(5.11526 + 10.9058i) q^{92} +(0.474376 + 0.821644i) q^{93} +(-11.7072 + 2.60920i) q^{94} +(4.54927 - 7.87957i) q^{95} +(-0.192980 - 3.91603i) q^{96} -5.77275i q^{97} +(-2.18811 + 6.96702i) q^{98} +(3.06446 + 1.76927i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100}) \) 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

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