LMFDB - Embedded newform 859.2.f.a.100.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [859,2,Mod(100,859)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(859, base_ring=CyclotomicField(26))

chi = DirichletCharacter(H, H._module([22]))

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

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

chi := DirichletCharacter("859.100");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$859$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	859.f (of order $13$ , degree $12$ , 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:	$6.85914953363$
Analytic rank:	$0$
Dimension:	$840$
Relative dimension:	$70$ over $\Q(\zeta_{13})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{13}]$

Embedding invariants

Embedding label			100.14
Character	$\chi$	$=$	859.100
Dual form			859.2.f.a.524.14

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.70030 + 0.892384i) q^{2} +(1.83435 - 2.65752i) q^{3} +(0.958526 - 1.38866i) q^{4} +(-0.866259 - 1.25499i) q^{5} +(-0.747414 + 6.15551i) q^{6} +(-0.526271 - 4.33423i) q^{7} +(0.0723652 - 0.595981i) q^{8} +(-2.63374 - 6.94460i) q^{9} +(2.59283 + 1.36082i) q^{10} +(-0.0122990 - 0.101291i) q^{11} +(-1.93213 - 5.09460i) q^{12} +6.73620 q^{13} +(4.76262 + 6.89984i) q^{14} -4.92419 q^{15} +(1.60549 + 4.23333i) q^{16} +(2.82794 - 0.697025i) q^{17} +(10.6754 + 9.45756i) q^{18} -1.46845 q^{19} -2.57310 q^{20} +(-12.4837 - 6.55193i) q^{21} +(0.111303 + 0.161250i) q^{22} +(1.96821 + 1.03300i) q^{23} +(-1.45109 - 1.28555i) q^{24} +(0.948421 - 2.50078i) q^{25} +(-11.4535 + 6.01127i) q^{26} +(-13.8807 - 3.42129i) q^{27} +(-6.52324 - 3.42366i) q^{28} +(0.570934 - 1.50543i) q^{29} +(8.37258 - 4.39427i) q^{30} +(0.940788 + 0.833466i) q^{31} +(-5.60881 - 4.96897i) q^{32} +(-0.291744 - 0.153119i) q^{33} +(-4.18632 + 3.70876i) q^{34} +(-4.98355 + 4.41504i) q^{35} +(-12.1682 - 2.99920i) q^{36} +(1.68839 + 4.45191i) q^{37} +(2.49680 - 1.31042i) q^{38} +(12.3566 - 17.9016i) q^{39} +(-0.810640 + 0.425457i) q^{40} +(-4.66197 + 6.75403i) q^{41} +27.0728 q^{42} +12.0086 q^{43} +(-0.152449 - 0.0800112i) q^{44} +(-6.43392 + 9.32115i) q^{45} -4.26838 q^{46} +(-4.48331 + 3.97187i) q^{47} +(14.1952 + 3.49880i) q^{48} +(-11.7120 + 2.88675i) q^{49} +(0.619061 + 5.09842i) q^{50} +(3.33508 - 8.79389i) q^{51} +(6.45682 - 9.35432i) q^{52} +(-5.05276 - 1.24539i) q^{53} +(26.6544 - 6.56972i) q^{54} +(-0.116466 + 0.103180i) q^{55} -2.62121 q^{56} +(-2.69365 + 3.90243i) q^{57} +(0.372664 + 3.06917i) q^{58} +(-3.95477 + 2.07562i) q^{59} +(-4.71997 + 6.83805i) q^{60} -6.80047 q^{61} +(-2.34339 - 0.577594i) q^{62} +(-28.7134 + 15.0700i) q^{63} +(5.17890 + 1.27648i) q^{64} +(-5.83529 - 8.45388i) q^{65} +0.632692 q^{66} +(4.25308 + 11.2145i) q^{67} +(1.74272 - 4.59518i) q^{68} +(6.35561 - 3.33568i) q^{69} +(4.53359 - 11.9541i) q^{70} +(9.15773 + 2.25718i) q^{71} +(-4.32944 + 1.06711i) q^{72} +(0.690622 - 5.68779i) q^{73} +(-6.84357 - 6.06287i) q^{74} +(-4.90613 - 7.10776i) q^{75} +(-1.40755 + 2.03918i) q^{76} +(-0.432547 + 0.106613i) q^{77} +(-5.03473 + 41.4647i) q^{78} +(0.730297 - 1.05802i) q^{79} +(3.92203 - 5.68204i) q^{80} +(-17.8761 + 15.8369i) q^{81} +(1.89954 - 15.6441i) q^{82} +(1.85850 + 15.3061i) q^{83} +(-21.0644 + 11.0554i) q^{84} +(-3.32449 - 2.94524i) q^{85} +(-20.4181 + 10.7163i) q^{86} +(-2.95341 - 4.27875i) q^{87} -0.0612577 q^{88} +(7.80151 + 1.92290i) q^{89} +(2.62153 - 21.5902i) q^{90} +(-3.54507 - 29.1962i) q^{91} +(3.32107 - 1.74303i) q^{92} +(3.94069 - 0.971292i) q^{93} +(4.07852 - 10.7542i) q^{94} +(1.27206 + 1.84289i) q^{95} +(-23.4937 + 5.79067i) q^{96} +(13.4969 - 3.32670i) q^{97} +(17.3378 - 15.3599i) q^{98} +(-0.671035 + 0.352186i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$840 q - 10 q^{2} - 5 q^{3} - 74 q^{4} - 20 q^{5} + 5 q^{6} - 3 q^{7} + 2 q^{8} - 69 q^{9} + 7 q^{10} - 25 q^{11} - 58 q^{12} - 10 q^{13} + 9 q^{14} - 148 q^{15} - 40 q^{16} - q^{17} + 5 q^{18} - 38 q^{19}+ \cdots - 121 q^{99}+O(q^{100})$ 840 * q - 10 * q^2 - 5 * q^3 - 74 * q^4 - 20 * q^5 + 5 * q^6 - 3 * q^7 + 2 * q^8 - 69 * q^9 + 7 * q^10 - 25 * q^11 - 58 * q^12 - 10 * q^13 + 9 * q^14 - 148 * q^15 - 40 * q^16 - q^17 + 5 * q^18 - 38 * q^19 - 92 * q^20 + 17 * q^21 + 15 * q^22 - 18 * q^23 + 27 * q^24 - 66 * q^25 + 7 * q^26 - 17 * q^27 + 29 * q^28 + 7 * q^29 - 5 * q^30 + 27 * q^31 + 20 * q^32 + 49 * q^33 + 5 * q^34 + 43 * q^35 + 32 * q^36 - 86 * q^37 - 13 * q^38 + 2 * q^39 + 59 * q^40 + 9 * q^41 + 72 * q^42 + 40 * q^43 + 44 * q^44 - 49 * q^45 + 52 * q^46 - 22 * q^47 + 159 * q^48 - 11 * q^49 - 73 * q^50 + 65 * q^51 + 73 * q^52 + 25 * q^53 + 11 * q^54 + 81 * q^55 - 302 * q^56 - 192 * q^57 + 27 * q^58 - 23 * q^59 - 62 * q^60 + 26 * q^61 + 79 * q^62 + 93 * q^63 - 78 * q^64 + 10 * q^65 + 74 * q^66 + 65 * q^67 + 69 * q^68 - 57 * q^69 + 19 * q^70 + 21 * q^71 - 234 * q^72 - 95 * q^73 + 25 * q^74 - 120 * q^75 - 18 * q^76 - 95 * q^77 - 3 * q^78 - 13 * q^79 - 244 * q^80 - 95 * q^81 - 19 * q^82 - 16 * q^83 - 48 * q^84 + 99 * q^85 + 45 * q^86 - 123 * q^87 + 110 * q^88 + 49 * q^89 + 217 * q^90 - 82 * q^91 + 3 * q^92 - 57 * q^93 - 77 * q^94 - 12 * q^95 + 56 * q^96 + 5 * q^97 + 5 * q^98 - 121 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/859\mathbb{Z}\right)^\times$ .

$n$	$2$
$\chi(n)$	$e\left(\frac{11}{13}\right)$

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

)

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

$2$	−1.70030	+	0.892384i	−1.20229	+	0.631011i	−0.942355	−	0.334615i	$-0.891394\pi$
$2$	−1.70030	+	0.892384i	−1.20229	+	0.631011i	−0.259936	+	0.965626i	$0.583701\pi$
$3$	1.83435	−	2.65752i	1.05906	−	1.53432i	0.231590	−	0.972813i	$-0.425607\pi$
$3$	1.83435	−	2.65752i	1.05906	−	1.53432i	0.827473	−	0.561505i	$-0.189777\pi$
$4$	0.958526	−	1.38866i	0.479263	−	0.694332i
$5$	−0.866259	−	1.25499i	−0.387403	−	0.561250i	0.579960	−	0.814645i	$-0.303068\pi$
$5$	−0.866259	−	1.25499i	−0.387403	−	0.561250i	−0.967363	+	0.253395i	$0.918453\pi$
$6$	−0.747414	+	6.15551i	−0.305131	+	2.51298i
$7$	−0.526271	−	4.33423i	−0.198912	−	1.63819i	−0.660310	−	0.750993i	$-0.729575\pi$
$7$	−0.526271	−	4.33423i	−0.198912	−	1.63819i	0.461399	−	0.887193i	$-0.347348\pi$
$8$	0.0723652	−	0.595981i	0.0255850	−	0.210711i
$9$	−2.63374	−	6.94460i	−0.877913	−	2.31487i
$10$	2.59283	+	1.36082i	0.819926	+	0.430330i
$11$	−0.0122990	−	0.101291i	−0.00370828	−	0.0305405i	0.990737	−	0.135793i	$-0.0433581\pi$
$11$	−0.0122990	−	0.101291i	−0.00370828	−	0.0305405i	−0.994446	+	0.105252i	$0.966435\pi$
$12$	−1.93213	−	5.09460i	−0.557757	−	1.47068i
$13$	6.73620			1.86829			0.934143	−	0.356900i	$-0.116166\pi$
$13$	6.73620			1.86829			0.934143	+	0.356900i	$0.116166\pi$
$14$	4.76262	+	6.89984i	1.27286	+	1.84406i
$15$	−4.92419			−1.27142
$16$	1.60549	+	4.23333i	0.401372	+	1.05833i
$17$	2.82794	−	0.697025i	0.685877	−	0.169053i	0.119047	−	0.992889i	$-0.462016\pi$
$17$	2.82794	−	0.697025i	0.685877	−	0.169053i	0.566829	+	0.823835i	$0.308170\pi$
$18$	10.6754	+	9.45756i	2.51621	+	2.22917i
$19$	−1.46845			−0.336885			−0.168443	−	0.985711i	$-0.553874\pi$
$19$	−1.46845			−0.336885			−0.168443	+	0.985711i	$0.553874\pi$
$20$	−2.57310			−0.575362
$21$	−12.4837	−	6.55193i	−2.72416	−	1.42975i
$22$	0.111303	+	0.161250i	0.0237298	+	0.0343785i
$23$	1.96821	+	1.03300i	0.410401	+	0.215395i	0.657272	−	0.753653i	$-0.271710\pi$
$23$	1.96821	+	1.03300i	0.410401	+	0.215395i	−0.246871	+	0.969048i	$0.579402\pi$
$24$	−1.45109	−	1.28555i	−0.296202	−	0.262412i
$25$	0.948421	−	2.50078i	0.189684	−	0.500156i
$26$	−11.4535	+	6.01127i	−2.24622	+	1.17891i
$27$	−13.8807	−	3.42129i	−2.67134	−	0.658427i
$28$	−6.52324	−	3.42366i	−1.23278	−	0.647011i
$29$	0.570934	−	1.50543i	0.106020	−	0.279551i	−0.871500	−	0.490396i	$-0.836852\pi$
$29$	0.570934	−	1.50543i	0.106020	−	0.279551i	0.977520	+	0.210845i	$0.0676214\pi$
$30$	8.37258	−	4.39427i	1.52862	−	0.802280i
$31$	0.940788	+	0.833466i	0.168971	+	0.149695i	0.743370	−	0.668880i	$-0.233226\pi$
$31$	0.940788	+	0.833466i	0.168971	+	0.149695i	−0.574400	+	0.818575i	$0.694764\pi$
$32$	−5.60881	−	4.96897i	−0.991507	−	0.878399i
$33$	−0.291744	−	0.153119i	−0.0507861	−	0.0266546i
$34$	−4.18632	+	3.70876i	−0.717948	+	0.636047i
$35$	−4.98355	+	4.41504i	−0.842373	+	0.746277i
$36$	−12.1682	−	2.99920i	−2.02804	−	0.499866i
$37$	1.68839	+	4.45191i	0.277569	+	0.731889i	0.999215	+	0.0396265i	$0.0126168\pi$
$37$	1.68839	+	4.45191i	0.277569	+	0.731889i	−0.721646	+	0.692263i	$0.756614\pi$
$38$	2.49680	−	1.31042i	0.405034	−	0.212578i
$39$	12.3566	−	17.9016i	1.97863	−	2.86654i
$40$	−0.810640	+	0.425457i	−0.128173	+	0.0672706i
$41$	−4.66197	+	6.75403i	−0.728078	+	1.05480i	0.267744	+	0.963490i	$0.413722\pi$
$41$	−4.66197	+	6.75403i	−0.728078	+	1.05480i	−0.995822	+	0.0913128i	$0.970894\pi$
$42$	27.0728			4.17742
$43$	12.0086			1.83129			0.915645	−	0.401987i	$-0.131680\pi$
$43$	12.0086			1.83129			0.915645	+	0.401987i	$0.131680\pi$
$44$	−0.152449	−	0.0800112i	−0.0229825	−	0.0120621i
$45$	−6.43392	+	9.32115i	−0.959113	+	1.38951i
$46$	−4.26838			−0.629338
$47$	−4.48331	+	3.97187i	−0.653958	+	0.579356i	−0.923484	−	0.383637i	$-0.874672\pi$
$47$	−4.48331	+	3.97187i	−0.653958	+	0.579356i	0.269526	+	0.962993i	$0.413133\pi$
$48$	14.1952	+	3.49880i	2.04890	+	0.505008i
$49$	−11.7120	+	2.88675i	−1.67315	+	0.412393i
$50$	0.619061	+	5.09842i	0.0875484	+	0.721026i
$51$	3.33508	−	8.79389i	0.467005	−	1.23139i
$52$	6.45682	−	9.35432i	0.895400	−	1.29721i
$53$	−5.05276	−	1.24539i	−0.694050	−	0.171068i	−0.123517	−	0.992342i	$-0.539417\pi$
$53$	−5.05276	−	1.24539i	−0.694050	−	0.171068i	−0.570533	+	0.821274i	$0.693263\pi$
$54$	26.6544	−	6.56972i	3.62721	−	0.894026i
$55$	−0.116466	+	0.103180i	−0.0157042	+	0.0139127i
$56$	−2.62121			−0.350273
$57$	−2.69365	+	3.90243i	−0.356783	+	0.516890i
$58$	0.372664	+	3.06917i	0.0489332	+	0.403001i
$59$	−3.95477	+	2.07562i	−0.514867	+	0.270223i	−0.702082	−	0.712096i	$-0.747746\pi$
$59$	−3.95477	+	2.07562i	−0.514867	+	0.270223i	0.187215	+	0.982319i	$0.440054\pi$
$60$	−4.71997	+	6.83805i	−0.609345	+	0.882789i
$61$	−6.80047			−0.870712			−0.435356	−	0.900258i	$-0.643377\pi$
$61$	−6.80047			−0.870712			−0.435356	+	0.900258i	$0.643377\pi$
$62$	−2.34339	−	0.577594i	−0.297611	−	0.0733545i
$63$	−28.7134	+	15.0700i	−3.61755	+	1.89864i
$64$	5.17890	+	1.27648i	0.647363	+	0.159561i
$65$	−5.83529	−	8.45388i	−0.723779	−	1.04858i
$66$	0.632692			0.0778790
$67$	4.25308	+	11.2145i	0.519597	+	1.37006i	0.896184	+	0.443683i	$0.146328\pi$
$67$	4.25308	+	11.2145i	0.519597	+	1.37006i	−0.376587	+	0.926381i	$0.622902\pi$
$68$	1.74272	−	4.59518i	0.211336	−	0.557247i
$69$	6.35561	−	3.33568i	0.765126	−	0.401569i
$70$	4.53359	−	11.9541i	0.541868	−	1.42879i
$71$	9.15773	+	2.25718i	1.08682	+	0.267878i	0.741735	−	0.670693i	$-0.234003\pi$
$71$	9.15773	+	2.25718i	1.08682	+	0.267878i	0.345087	+	0.938571i	$0.387849\pi$
$72$	−4.32944	+	1.06711i	−0.510229	+	0.125760i
$73$	0.690622	−	5.68779i	0.0808312	−	0.665705i	−0.894828	−	0.446412i	$-0.852702\pi$
$73$	0.690622	−	5.68779i	0.0808312	−	0.665705i	0.975659	−	0.219293i	$-0.0703752\pi$
$74$	−6.84357	−	6.06287i	−0.795548	−	0.704794i
$75$	−4.90613	−	7.10776i	−0.566511	−	0.820733i
$76$	−1.40755	+	2.03918i	−0.161457	+	0.233910i
$77$	−0.432547	+	0.106613i	−0.0492933	+	0.0121497i
$78$	−5.03473	+	41.4647i	−0.570071	+	4.69496i
$79$	0.730297	−	1.05802i	0.0821648	−	0.119036i	−0.779746	−	0.626095i	$-0.784652\pi$
$79$	0.730297	−	1.05802i	0.0821648	−	0.119036i	0.861911	+	0.507059i	$0.169267\pi$
$80$	3.92203	−	5.68204i	0.438496	−	0.635271i
$81$	−17.8761	+	15.8369i	−1.98624	+	1.75965i
$82$	1.89954	−	15.6441i	0.209769	−	1.72760i
$83$	1.85850	+	15.3061i	0.203997	+	1.68006i	0.630975	+	0.775803i	$0.282655\pi$
$83$	1.85850	+	15.3061i	0.203997	+	1.68006i	−0.426978	+	0.904262i	$0.640422\pi$
$84$	−21.0644	+	11.0554i	−2.29831	+	1.20625i
$85$	−3.32449	−	2.94524i	−0.360592	−	0.319457i
$86$	−20.4181	+	10.7163i	−2.20174	+	1.15556i
$87$	−2.95341	−	4.27875i	−0.316639	−	0.458731i
$88$	−0.0612577			−0.00653009
$89$	7.80151	+	1.92290i	0.826959	+	0.203827i	0.630010	−	0.776587i	$-0.283051\pi$
$89$	7.80151	+	1.92290i	0.826959	+	0.203827i	0.196948	+	0.980414i	$0.436897\pi$
$90$	2.62153	−	21.5902i	0.276333	−	2.27581i
$91$	−3.54507	−	29.1962i	−0.371624	−	3.06060i
$92$	3.32107	−	1.74303i	0.346246	−	0.181724i
$93$	3.94069	−	0.971292i	0.408630	−	0.100718i
$94$	4.07852	−	10.7542i	0.420668	−	1.10921i
$95$	1.27206	+	1.84289i	0.130510	+	0.189077i
$96$	−23.4937	+	5.79067i	−2.39781	+	0.591008i
$97$	13.4969	−	3.32670i	1.37041	−	0.337775i	0.515647	−	0.856801i	$-0.327551\pi$
$97$	13.4969	−	3.32670i	1.37041	−	0.337775i	0.854758	+	0.519026i	$0.173705\pi$
$98$	17.3378	−	15.3599i	1.75138	−	1.55159i
$99$	−0.671035	+	0.352186i	−0.0674415	+	0.0353960i
$100$	−2.56366	−	3.71410i	−0.256366	−	0.371410i
$101$	14.1818	+	3.49551i	1.41115	+	0.347816i	0.869975	−	0.493096i	$-0.164135\pi$
$101$	14.1818	+	3.49551i	1.41115	+	0.347816i	0.541171	+	0.840912i	$0.317981\pi$
$102$	2.17690	+	17.9284i	0.215545	+	1.77518i
$103$	−11.1226	−	9.85373i	−1.09594	−	0.970917i	−0.0962375	−	0.995358i	$-0.530681\pi$
$103$	−11.1226	−	9.85373i	−1.09594	−	0.970917i	−0.999701	+	0.0244413i	$0.992219\pi$
$104$	0.487466	−	4.01465i	0.0478000	−	0.393669i
$105$	2.59146	+	21.3426i	0.252901	+	2.08282i
$106$	9.70256	−	2.39147i	0.942396	−	0.232280i
$107$	−5.82274	−	3.05601i	−0.562905	−	0.295435i	0.159169	−	0.987251i	$-0.449119\pi$
$107$	−5.82274	−	3.05601i	−0.562905	−	0.295435i	−0.722074	+	0.691816i	$0.756811\pi$
$108$	−18.0560	+	15.9963i	−1.73744	+	1.53924i
$109$	2.44231	+	20.1143i	0.233931	+	1.92660i	0.356814	+	0.934176i	$0.383863\pi$
$109$	2.44231	+	20.1143i	0.233931	+	1.92660i	−0.122882	+	0.992421i	$0.539214\pi$
$110$	0.105950	−	0.279368i	0.0101020	−	0.0266367i
$111$	14.9281	+	3.67945i	1.41691	+	0.349238i
$112$	17.5033	−	9.18644i	1.65391	−	0.868037i
$113$	−6.56206	−	3.44403i	−0.617306	−	0.323987i	0.126922	−	0.991913i	$-0.459490\pi$
$113$	−6.56206	−	3.44403i	−0.617306	−	0.323987i	−0.744228	+	0.667925i	$0.767183\pi$
$114$	1.09754	−	9.03906i	0.102794	−	0.846585i
$115$	−0.408578	−	3.36494i	−0.0381001	−	0.313782i
$116$	−1.54328	−	2.23583i	−0.143290	−	0.207591i
$117$	−17.7414	−	46.7802i	−1.64019	−	4.32483i
$118$	4.87202	−	7.05834i	0.448506	−	0.649773i
$119$	−4.50933	−	11.8901i	−0.413370	−	1.08997i
$120$	−0.356340	+	2.93473i	−0.0325293	+	0.267903i
$121$	10.6703	−	2.62998i	0.970023	−	0.239089i
$122$	11.5628	−	6.06863i	1.04685	−	0.549428i
$123$	9.39726	+	24.7785i	0.847323	+	2.23421i
$124$	2.05917	−	0.507541i	0.184919	−	0.0455785i
$125$	−11.3631	+	2.80076i	−1.01635	+	0.250508i
$126$	35.3731	−	51.2468i	3.15129	−	4.56543i
$127$	−0.718103	−	1.89348i	−0.0637213	−	0.168019i	0.899374	−	0.437180i	$-0.144023\pi$
$127$	−0.718103	−	1.89348i	−0.0637213	−	0.168019i	−0.963095	+	0.269161i	$0.913254\pi$
$128$	4.60633	−	1.13536i	0.407146	−	0.100352i
$129$	22.0280	−	31.9130i	1.93945	−	2.80978i
$130$	17.4658	+	9.16678i	1.53185	+	0.803980i
$131$	−16.2885			−1.42313			−0.711566	−	0.702620i	$-0.752014\pi$
$131$	−16.2885			−1.42313			−0.711566	+	0.702620i	$0.752014\pi$
$132$	−0.492275	+	0.258366i	−0.0428471	+	0.0224879i
$133$	0.772803	+	6.36460i	0.0670105	+	0.551881i
$134$	−17.2391	−	15.2725i	−1.48923	−	1.31934i
$135$	7.73060	+	20.3839i	0.665344	+	1.75437i
$136$	−0.210769	−	1.73584i	−0.0180733	−	0.148847i
$137$	1.88520	−	0.989428i	0.161063	−	0.0845325i	−0.382266	−	0.924053i	$-0.624856\pi$
$137$	1.88520	−	0.989428i	0.161063	−	0.0845325i	0.543329	+	0.839520i	$0.317164\pi$
$138$	−7.82971	+	11.3433i	−0.666509	+	0.965605i
$139$	−4.43315	−	1.09267i	−0.376014	−	0.0926792i	0.0467791	−	0.998905i	$-0.485104\pi$
$139$	−4.43315	−	1.09267i	−0.376014	−	0.0926792i	−0.422794	+	0.906226i	$0.638950\pi$
$140$	1.35415	+	11.1524i	0.114446	+	0.942550i
$141$	2.33134	+	19.2003i	0.196334	+	1.61696i
$142$	−17.5851	+	4.33434i	−1.47571	+	0.363730i
$143$	−0.0828484	−	0.682318i	−0.00692813	−	0.0570583i
$144$	25.1703	−	22.2990i	2.09753	−	1.85825i
$145$	−2.38388	+	0.587574i	−0.197970	+	0.0487953i
$146$	3.90143	+	10.2872i	0.322884	+	0.851376i
$147$	−13.8124	+	36.4202i	−1.13922	+	3.00389i
$148$	7.80057	+	1.92267i	0.641203	+	0.158042i
$149$	−5.76607	−	5.10829i	−0.472374	−	0.418487i	0.393057	−	0.919514i	$-0.371417\pi$
$149$	−5.76607	−	5.10829i	−0.472374	−	0.418487i	−0.865432	+	0.501027i	$0.832956\pi$
$150$	14.6847	+	7.70714i	1.19900	+	0.629285i
$151$	−11.4385	−	10.1336i	−0.930850	−	0.824661i	0.0539158	−	0.998545i	$-0.482830\pi$
$151$	−11.4385	−	10.1336i	−0.930850	−	0.824661i	−0.984766	+	0.173884i	$0.944368\pi$
$152$	−0.106265	+	0.875169i	−0.00861921	+	0.0709855i
$153$	−12.2886	−	17.8031i	−0.993476	−	1.43930i
$154$	0.640318	−	0.567272i	0.0515983	−	0.0457121i
$155$	0.231027	−	1.90268i	0.0185566	−	0.152827i
$156$	−13.0152	−	34.3182i	−1.04205	−	2.74766i
$157$	9.70048	−	2.39095i	0.774183	−	0.190819i	0.167617	−	0.985852i	$-0.446393\pi$
$157$	9.70048	−	2.39095i	0.774183	−	0.190819i	0.606566	+	0.795033i	$0.292547\pi$
$158$	−0.297562	+	2.45065i	−0.0236728	+	0.194963i
$159$	−12.5782	+	11.1433i	−0.997516	+	0.883722i
$160$	−1.37734	+	11.3434i	−0.108889	+	0.896778i
$161$	3.44144	−	9.07434i	0.271224	−	0.715158i
$162$	16.2621	−	42.8797i	1.27767	−	3.36895i
$163$	10.0718	−	5.28609i	0.788884	−	0.414038i	−0.0216237	−	0.999766i	$-0.506884\pi$
$163$	10.0718	−	5.28609i	0.788884	−	0.414038i	0.810508	+	0.585728i	$0.199191\pi$
$164$	4.91047	+	12.9478i	0.383443	+	1.01106i
$165$	0.0605626	+	0.498778i	0.00471479	+	0.0388298i
$166$	−16.8189	−	24.3664i	−1.30540	−	1.89120i
$167$	−7.07053	+	1.74273i	−0.547134	+	0.134856i	−0.503187	−	0.864178i	$-0.667839\pi$
$167$	−7.07053	+	1.74273i	−0.547134	+	0.134856i	−0.0439467	+	0.999034i	$0.513993\pi$
$168$	−4.80821	+	6.96590i	−0.370962	+	0.537431i
$169$	32.3764			2.49049
$170$	8.28091	+	2.04106i	0.635117	+	0.156542i
$171$	3.86751	+	10.1978i	0.295756	+	0.779845i
$172$	11.5105	−	16.6759i	0.877670	−	1.27152i
$173$	12.7017	+	11.2527i	0.965692	+	0.855528i	0.989550	−	0.144187i	$-0.0460567\pi$
$173$	12.7017	+	11.2527i	0.965692	+	0.855528i	−0.0238587	+	0.999715i	$0.507595\pi$
$174$	8.83996	+	4.63957i	0.670156	+	0.351725i
$175$	−11.3381	−	2.79459i	−0.857079	−	0.211251i
$176$	0.409053	−	0.214688i	0.0308335	−	0.0161827i
$177$	−1.73843	+	14.3173i	−0.130669	+	1.07615i
$178$	−14.9808	+	3.69245i	−1.12286	+	0.276761i
$179$	−6.27640	+	5.56040i	−0.469120	+	0.415604i	−0.864282	−	0.503007i	$-0.832227\pi$
$179$	−6.27640	+	5.56040i	−0.469120	+	0.415604i	0.395162	+	0.918611i	$0.370688\pi$
$180$	6.77686	+	17.8691i	0.505118	+	1.33189i
$181$	0.402039	−	0.582455i	0.0298834	−	0.0432935i	−0.807757	−	0.589515i	$-0.799319\pi$
$181$	0.402039	−	0.582455i	0.0298834	−	0.0432935i	0.837641	+	0.546221i	$0.183934\pi$
$182$	32.0819	+	46.4787i	2.37807	+	3.44523i
$183$	−12.4745	+	18.0724i	−0.922139	+	1.33595i
$184$	0.758078	−	1.09827i	0.0558863	−	0.0809653i
$185$	4.12453	−	5.97542i	0.303242	−	0.439322i
$186$	−5.83357	+	5.16809i	−0.427738	+	0.378943i
$187$	−0.105383	−	0.277873i	−0.00770639	−	0.0203201i
$188$	1.21822	+	10.0330i	0.0888479	+	0.731729i
$189$	−7.52364	+	61.9628i	−0.547264	+	4.50713i
$190$	−3.80744	−	1.99830i	−0.276221	−	0.144972i
$191$	7.21110	−	19.0141i	0.521777	−	1.37581i	−0.372388	−	0.928077i	$-0.621461\pi$
$191$	7.21110	−	19.0141i	0.521777	−	1.37581i	0.894166	−	0.447736i	$-0.147770\pi$
$192$	12.8922	−	11.4215i	0.930415	−	0.824276i
$193$	2.69563	−	7.10780i	0.194036	−	0.511630i	−0.802323	−	0.596890i	$-0.796403\pi$
$193$	2.69563	−	7.10780i	0.194036	−	0.511630i	0.996359	+	0.0852598i	$0.0271720\pi$
$194$	−19.9801	+	17.7008i	−1.43449	+	1.27084i
$195$	−33.1703			−2.37538
$196$	−7.21754	+	19.0311i	−0.515539	+	1.35936i
$197$	6.49653	+	17.1299i	0.462858	+	1.22046i	0.939862	+	0.341556i	$0.110954\pi$
$197$	6.49653	+	17.1299i	0.462858	+	1.22046i	−0.477003	+	0.878902i	$0.658277\pi$
$198$	0.826672	−	1.19764i	0.0587490	−	0.0851126i
$199$	12.0780	+	6.33904i	0.856189	+	0.449362i	0.834894	−	0.550411i	$-0.185529\pi$
$199$	12.0780	+	6.33904i	0.856189	+	0.449362i	0.0212947	+	0.999773i	$0.493221\pi$
$200$	−1.42179	−	0.746211i	−0.100535	−	0.0527651i
$201$	37.6043	+	9.26862i	2.65240	+	0.653758i
$202$	−27.2327	+	6.71225i	−1.91608	+	0.472272i
$203$	−6.82534	−	1.68230i	−0.479045	−	0.118074i
$204$	−9.01501	−	13.0605i	−0.631177	−	0.914417i
$205$	12.5147			0.874068
$206$	27.7050	+	6.82866i	1.93030	+	0.475775i
$207$	1.99000	−	16.3891i	0.138314	−	1.13912i
$208$	10.8149	+	28.5165i	0.749878	+	1.97727i
$209$	0.0180604	+	0.148741i	0.00124927	+	0.0102886i
$210$	−23.4520	−	33.9761i	−1.61834	−	2.34458i
$211$	−5.49864	−	7.96615i	−0.378542	−	0.548412i	0.586689	−	0.809812i	$-0.300431\pi$
$211$	−5.49864	−	7.96615i	−0.378542	−	0.548412i	−0.965231	+	0.261400i	$0.915816\pi$
$212$	−6.57264	+	5.82285i	−0.451411	+	0.399915i
$213$	22.7970	−	20.1964i	1.56202	−	1.38383i
$214$	12.6275			0.863199
$215$	−10.4025	−	15.0707i	−0.709447	−	1.02781i
$216$	−3.04350	+	8.02506i	−0.207084	+	0.546036i
$217$	3.11732	−	4.51622i	0.211618	−	0.306581i
$218$	−22.1023	−	32.0207i	−1.49696	−	2.16872i
$219$	−13.8486	−	12.2687i	−0.935798	−	0.829045i
$220$	0.0316465	+	0.260632i	0.00213361	+	0.0175718i
$221$	19.0496	−	4.69530i	1.28141	−	0.315840i
$222$	−28.6657	+	7.06546i	−1.92392	+	0.474203i
$223$	2.44840	+	20.1644i	0.163957	+	1.35031i	0.809741	+	0.586788i	$0.199608\pi$
$223$	2.44840	+	20.1644i	0.163957	+	1.35031i	−0.645783	+	0.763521i	$0.723469\pi$
$224$	−18.5849	+	26.9249i	−1.24176	+	1.79900i
$225$	−19.8648			−1.32432
$226$	14.2308			0.946621
$227$	−19.5454	−	17.3157i	−1.29727	−	1.14928i	−0.979572	−	0.201093i	$-0.935551\pi$
$227$	−19.5454	−	17.3157i	−1.29727	−	1.14928i	−0.317701	−	0.948191i	$-0.602911\pi$
$228$	2.83723	+	7.48116i	0.187900	+	0.495452i
$229$	−11.7955			−0.779468			−0.389734	−	0.920927i	$-0.627433\pi$
$229$	−11.7955			−0.779468			−0.389734	+	0.920927i	$0.627433\pi$
$230$	3.69752	+	5.35679i	0.243807	+	0.353216i
$231$	−0.510117	+	1.34507i	−0.0335632	+	0.0884990i
$232$	−0.855892	−	0.449207i	−0.0561920	−	0.0294919i
$233$	−10.5143	+	5.51831i	−0.688813	+	0.361517i	−0.772535	−	0.634972i	$-0.781011\pi$
$233$	−10.5143	+	5.51831i	−0.688813	+	0.361517i	0.0837222	+	0.996489i	$0.473319\pi$
$234$	71.9115	+	63.7080i	4.70100	+	4.16472i
$235$	8.86838	+	2.18586i	0.578509	+	0.142590i
$236$	−0.908405	+	7.48138i	−0.0591321	+	0.486997i
$237$	−1.47208	−	3.88155i	−0.0956218	−	0.252134i
$238$	18.2778	+	16.1927i	1.18477	+	1.04962i
$239$	19.3683	+	17.1588i	1.25283	+	1.10991i	0.989397	+	0.145236i	$0.0463940\pi$
$239$	19.3683	+	17.1588i	1.25283	+	1.10991i	0.263435	+	0.964677i	$0.415144\pi$
$240$	−7.90574	−	20.8457i	−0.510313	−	1.34559i
$241$	−10.7793	+	9.54964i	−0.694356	+	0.615146i	−0.934656	−	0.355553i	$-0.884293\pi$
$241$	−10.7793	+	9.54964i	−0.694356	+	0.615146i	0.240300	+	0.970699i	$0.422754\pi$
$242$	−15.7956	+	13.9937i	−1.01538	+	0.899549i
$243$	4.12602	+	33.9808i	0.264684	+	2.17987i
$244$	−6.51843	+	9.44358i	−0.417300	+	0.604563i
$245$	13.7685	+	12.1978i	0.879637	+	0.779291i
$246$	−38.0901	−	33.7449i	−2.42854	−	2.15150i
$247$	−9.89177			−0.629398
$248$	0.564810	−	0.500378i	0.0358655	−	0.0317740i
$249$	44.0854	+	23.1378i	2.79380	+	1.46630i
$250$	16.8213	−	14.9024i	1.06387	−	0.942511i
$251$	7.94210	+	7.03609i	0.501301	+	0.444114i	0.875488	−	0.483239i	$-0.160540\pi$
$251$	7.94210	+	7.03609i	0.501301	+	0.444114i	−0.374187	+	0.927353i	$0.622078\pi$
$252$	−6.59544	+	54.3183i	−0.415473	+	3.42173i
$253$	0.0804267	−	0.212068i	0.00505638	−	0.0133326i
$254$	2.91070	+	2.57866i	0.182634	+	0.161799i
$255$	−13.9253	+	3.43228i	−0.872038	+	0.214938i
$256$	−14.8039	+	13.1151i	−0.925244	+	0.819694i
$257$	2.02382	+	2.93200i	0.126242	+	0.182893i	0.881009	−	0.473100i	$-0.156865\pi$
$257$	2.02382	+	2.93200i	0.126242	+	0.182893i	−0.754766	+	0.655994i	$0.772250\pi$
$258$	−8.97538	+	73.9189i	−0.558783	+	4.60199i
$259$	18.4071	−	9.66077i	1.14376	−	0.600291i
$260$	−17.3329			−1.07494
$261$	−11.9583			−0.740199
$262$	27.6952	−	14.5356i	1.71102	−	0.898011i
$263$	−9.00882	+	2.22047i	−0.555508	+	0.136920i	−0.507068	−	0.861906i	$-0.669271\pi$
$263$	−9.00882	+	2.22047i	−0.555508	+	0.136920i	−0.0484392	+	0.998826i	$0.515425\pi$
$264$	−0.112368	+	0.162793i	−0.00691579	+	0.0100192i
$265$	2.81404	+	7.42002i	0.172865	+	0.455808i
$266$	−6.99366	−	10.1321i	−0.428809	−	0.621237i
$267$	19.4209	−	17.2054i	1.18854	−	1.05295i
$268$	19.6498	+	4.84324i	1.20030	+	0.295848i
$269$	14.2361			0.867991			0.433995	−	0.900915i	$-0.357103\pi$
$269$	14.2361			0.867991			0.433995	+	0.900915i	$0.357103\pi$
$270$	−31.3346	−	27.7600i	−1.90696	−	1.68942i
$271$	3.77230	+	5.46512i	0.229151	+	0.331983i	0.920646	−	0.390399i	$-0.127663\pi$
$271$	3.77230	+	5.46512i	0.229151	+	0.331983i	−0.691495	+	0.722381i	$0.743048\pi$
$272$	7.49097	+	10.8525i	0.454207	+	0.658032i
$273$	−84.0924	−	44.1351i	−5.08951	−	2.67118i
$274$	−2.32244	+	3.36464i	−0.140304	+	0.203265i
$275$	−0.264972	−	0.0653097i	−0.0159784	−	0.00393832i
$276$	1.45988	−	12.0232i	0.0878742	−	0.723709i
$277$	2.18404	+	17.9872i	0.131226	+	1.08075i	0.898360	+	0.439260i	$0.144759\pi$
$277$	2.18404	+	17.9872i	0.131226	+	1.08075i	−0.767134	+	0.641487i	$0.778318\pi$
$278$	8.51274	−	2.09820i	0.510560	−	0.125842i
$279$	3.31029	−	8.72852i	0.198182	−	0.522563i
$280$	2.27064	+	3.28960i	0.135697	+	0.196591i
$281$	3.17191	−	4.59531i	0.189221	−	0.274133i	−0.716879	−	0.697197i	$-0.754430\pi$
$281$	3.17191	−	4.59531i	0.189221	−	0.274133i	0.906100	+	0.423064i	$0.139045\pi$
$282$	−21.0980	−	30.5657i	−1.25637	−	1.82016i
$283$	−1.36331	−	11.2278i	−0.0810401	−	0.667426i	−0.975457	−	0.220191i	$-0.929332\pi$
$283$	−1.36331	−	11.2278i	−0.0810401	−	0.667426i	0.894417	−	0.447235i	$-0.147591\pi$
$284$	11.9124	−	10.5535i	0.706870	−	0.626232i
$285$	7.23093			0.428323
$286$	0.749756	+	1.08621i	0.0443340	+	0.0642289i
$287$	31.7270	+	16.6516i	1.87279	+	0.982914i
$288$	−19.7354	+	52.0379i	−1.16292	+	3.06636i
$289$	−7.54134	+	3.95800i	−0.443608	+	0.232824i
$290$	3.52896	−	3.12639i	0.207228	−	0.183588i
$291$	15.9174	−	41.9707i	0.933093	−	2.46036i
$292$	−7.23645	−	6.41094i	−0.423481	−	0.375172i
$293$	−3.29847	−	4.77866i	−0.192699	−	0.279172i	0.714711	−	0.699420i	$-0.246558\pi$
$293$	−3.29847	−	4.77866i	−0.192699	−	0.279172i	−0.907409	+	0.420248i	$0.861943\pi$
$294$	−9.01571	−	74.2510i	−0.525807	−	4.33041i
$295$	6.03075	+	3.16518i	0.351124	+	0.184284i
$296$	2.77543	−	0.684083i	0.161319	−	0.0397615i
$297$	−0.175828	+	1.44807i	−0.0102026	+	0.0840257i
$298$	14.3626	+	3.54006i	0.832001	+	0.205070i
$299$	13.2583	+	6.95848i	0.766746	+	0.402420i
$300$	−14.5730			−0.841370
$301$	−6.31977	−	52.0480i	−0.364265	−	2.99999i
$302$	28.4919	+	7.02261i	1.63952	+	0.404106i
$303$	35.3039	−	31.2765i	2.02815	−	1.79679i
$304$	−2.35758	−	6.21643i	−0.135217	−	0.356537i
$305$	5.89097	+	8.53455i	0.337316	+	0.488687i
$306$	36.7815	+	19.3044i	2.10266	+	1.10356i
$307$	−5.10818	−	13.4692i	−0.291539	−	0.768725i	−0.998131	−	0.0611044i	$-0.980538\pi$
$307$	−5.10818	−	13.4692i	−0.291539	−	0.768725i	0.706592	−	0.707621i	$-0.250231\pi$
$308$	−0.266558	+	0.702855i	−0.0151885	+	0.0400489i
$309$	−46.5892	+	11.4832i	−2.65036	+	0.653256i
$310$	1.30511	+	3.44128i	0.0741251	+	0.195452i
$311$	−1.20491	+	9.92332i	−0.0683241	+	0.562700i	0.917843	+	0.396944i	$0.129929\pi$
$311$	−1.20491	+	9.92332i	−0.0683241	+	0.562700i	−0.986167	+	0.165756i	$0.946994\pi$
$312$	−9.77481	−	8.65973i	−0.553390	−	0.490261i
$313$	21.2290			1.19993			0.599966	−	0.800025i	$-0.295181\pi$
$313$	21.2290			1.19993			0.599966	+	0.800025i	$0.295181\pi$
$314$	−14.3600	+	12.7219i	−0.810384	+	0.717937i
$315$	43.7860	+	22.9807i	2.46706	+	1.29481i
$316$	−0.769223	−	2.02827i	−0.0432722	−	0.114099i
$317$	−11.3797	−	5.97254i	−0.639149	−	0.335451i	0.113826	−	0.993501i	$-0.463689\pi$
$317$	−11.3797	−	5.97254i	−0.639149	−	0.335451i	−0.752975	+	0.658050i	$0.771382\pi$
$318$	11.4425	−	30.1715i	0.641666	−	1.69193i
$319$	−0.159509	−	0.0393154i	−0.00893077	−	0.00220124i
$320$	−2.88429	−	7.60525i	−0.161237	−	0.425147i
$321$	−18.8023	+	9.86823i	−1.04944	+	0.550791i
$322$	2.24632	+	18.5001i	0.125183	+	1.03097i
$323$	−4.15269	+	1.02355i	−0.231062	+	0.0569516i
$324$	4.85736	+	40.0040i	0.269854	+	2.22244i
$325$	6.38875	−	16.8458i	0.354384	−	0.934435i
$326$	−12.4078	+	17.9758i	−0.687205	+	0.995589i
$327$	57.9341	+	30.4061i	3.20376	+	1.68146i
$328$	3.68791	+	3.26721i	0.203631	+	0.180401i
$329$	19.5744	+	17.3414i	1.07917	+	0.956064i
$330$	−0.548075	−	0.794024i	−0.0301706	−	0.0437096i
$331$	2.08042	−	17.1338i	0.114350	−	0.941759i	−0.816749	−	0.576993i	$-0.804226\pi$
$331$	2.08042	−	17.1338i	0.114350	−	0.941759i	0.931099	−	0.364766i	$-0.118851\pi$
$332$	23.0365	+	12.0905i	1.26429	+	0.663551i
$333$	26.4699	−	23.4503i	1.45054	−	1.28507i
$334$	10.4668	−	9.27278i	0.572718	−	0.507384i
$335$	10.3898	−	15.0522i	0.567655	−	0.822391i
$336$	7.69409	−	63.3665i	0.419747	−	3.45693i
$337$	15.9108	−	8.35063i	0.866717	−	0.454888i	0.0280968	−	0.999605i	$-0.491055\pi$
$337$	15.9108	−	8.35063i	0.866717	−	0.454888i	0.838620	+	0.544717i	$0.183363\pi$
$338$	−55.0494	+	28.8921i	−2.99429	+	1.57153i
$339$	−21.1897	+	11.1212i	−1.15087	+	0.604021i
$340$	−7.27657	+	1.79351i	−0.394627	+	0.0972669i
$341$	0.0728520	−	0.105544i	0.00394516	−	0.00571555i
$342$	−15.6763	−	13.8880i	−0.847675	−	0.750974i
$343$	7.83795	+	20.6670i	0.423210	+	1.11591i
$344$	0.869003	−	7.15689i	0.0468535	−	0.385873i
$345$	−9.69187	−	5.08668i	−0.521793	−	0.273858i
$346$	−31.6384	−	7.79816i	−1.70089	−	0.419232i
$347$	4.22362	−	11.1368i	0.226736	−	0.597853i	−0.772577	−	0.634921i	$-0.781033\pi$
$347$	4.22362	−	11.1368i	0.226736	−	0.597853i	0.999313	+	0.0370683i	$0.0118019\pi$
$348$	−8.77268			−0.470265
$349$	−16.8709	+	14.9463i	−0.903077	+	0.800056i	−0.980414	−	0.196949i	$-0.936897\pi$
$349$	−16.8709	+	14.9463i	−0.903077	+	0.800056i	0.0773372	+	0.997005i	$0.475358\pi$
$350$	21.7720	−	5.36631i	1.16376	−	0.286841i
$351$	−93.5032	−	23.0465i	−4.99083	−	1.23013i
$352$	−0.434331	+	0.629237i	−0.0231499	+	0.0335384i
$353$	−0.982685	−	8.09314i	−0.0523031	−	0.430754i	−0.995215	−	0.0977116i	$-0.968848\pi$
$353$	−0.982685	−	8.09314i	−0.0523031	−	0.430754i	0.942912	−	0.333043i	$-0.108075\pi$
$354$	−9.82066	−	25.8950i	−0.521962	−	1.37630i
$355$	−5.10023	−	13.4482i	−0.270692	−	0.713756i
$356$	10.1482	−	8.99054i	0.537854	−	0.476497i
$357$	−39.8699	−	9.82706i	−2.11014	−	0.520103i
$358$	5.70972	−	15.0553i	0.301768	−	0.795697i
$359$	−2.07197	+	5.46333i	−0.109354	+	0.288344i	−0.978512	−	0.206192i	$-0.933893\pi$
$359$	−2.07197	+	5.46333i	−0.109354	+	0.288344i	0.869157	+	0.494536i	$0.164662\pi$
$360$	5.08964	+	4.50902i	0.268247	+	0.237646i
$361$	−16.8437			−0.886508
$362$	−0.163813	+	1.34912i	−0.00860980	+	0.0709081i
$363$	12.5838	−	33.1807i	0.660477	−	1.74153i
$364$	−43.9418	−	23.0625i	−2.30318	−	1.20880i
$365$	−7.73639	+	4.06037i	−0.404941	+	0.212530i
$366$	5.08277	−	41.8604i	0.265681	−	2.18808i
$367$	−12.2629	−	3.02253i	−0.640117	−	0.157775i	−0.0941190	−	0.995561i	$-0.530003\pi$
$367$	−12.2629	−	3.02253i	−0.640117	−	0.157775i	−0.545998	+	0.837786i	$0.683850\pi$
$368$	−1.21307	+	9.99057i	−0.0632359	+	0.520794i
$369$	59.1825	+	14.5872i	3.08092	+	0.759377i
$370$	−1.68056	+	13.8406i	−0.0873681	+	0.719541i
$371$	−2.73870	+	22.5553i	−0.142186	+	1.17101i
$372$	2.42845	−	6.40330i	0.125909	−	0.331996i
$373$	4.31301	+	6.24847i	0.223319	+	0.323533i	0.918588	−	0.395216i	$-0.129330\pi$
$373$	4.31301	+	6.24847i	0.223319	+	0.323533i	−0.695269	+	0.718749i	$0.744715\pi$
$374$	0.427152	+	0.378424i	0.0220875	+	0.0195678i
$375$	−13.4009	+	35.3353i	−0.692021	+	1.82471i
$376$	2.04272	+	2.95940i	0.105345	+	0.152619i
$377$	3.84592	−	10.1409i	0.198075	−	0.522281i
$378$	−42.5022	−	112.069i	−2.18608	−	5.76421i
$379$	−5.73387	−	5.07976i	−0.294529	−	0.260930i	0.502897	−	0.864346i	$-0.332267\pi$
$379$	−5.73387	−	5.07976i	−0.294529	−	0.260930i	−0.797426	+	0.603416i	$0.793806\pi$
$380$	3.77846			0.193831
$381$	−6.34922	−	1.56494i	−0.325280	−	0.0801744i
$382$	4.70689	+	38.7647i	0.240825	+	1.98337i
$383$	−14.0011	−	3.45096i	−0.715423	−	0.176336i	−0.135229	−	0.990814i	$-0.543177\pi$
$383$	−14.0011	−	3.45096i	−0.715423	−	0.176336i	−0.580194	+	0.814478i	$0.697023\pi$
$384$	5.43239	−	14.3240i	0.277221	−	0.730971i
$385$	0.508497	+	0.450489i	0.0259154	+	0.0229591i
$386$	1.75951	+	14.4909i	0.0895569	+	0.737567i
$387$	−31.6274	−	83.3947i	−1.60771	−	4.23919i
$388$	8.31750	−	21.9314i	0.422257	−	1.11340i
$389$	18.3266	−	4.51709i	0.929193	−	0.229026i	0.254457	−	0.967084i	$-0.418103\pi$
$389$	18.3266	−	4.51709i	0.929193	−	0.229026i	0.674737	+	0.738059i	$0.264257\pi$
$390$	56.3994	−	29.6007i	2.85589	−	1.49889i
$391$	6.28602	+	1.54937i	0.317898	+	0.0783548i
$392$	0.872908	+	7.18904i	0.0440885	+	0.363101i
$393$	−29.8788	+	43.2869i	−1.50719	+	2.18354i
$394$	−26.3325	−	23.3286i	−1.32661	−	1.17528i
$395$	−1.96043			−0.0986400
$396$	−0.154136	+	1.26942i	−0.00774561	+	0.0637908i
$397$	0.321713	+	2.64955i	0.0161463	+	0.132977i	0.998553	−	0.0537776i	$-0.0171262\pi$
$397$	0.321713	+	2.64955i	0.0161463	+	0.132977i	−0.982407	+	0.186754i	$0.940203\pi$
$398$	−26.1931			−1.31294
$399$	18.3316	+	9.62118i	0.917730	+	0.481662i
$400$	12.1093			0.605465
$401$	0.543255	−	0.285122i	0.0271289	−	0.0142383i	−0.451104	−	0.892471i	$-0.648970\pi$
$401$	0.543255	−	0.285122i	0.0271289	−	0.0142383i	0.478233	+	0.878233i	$0.341277\pi$
$402$	−72.2095	+	17.7980i	−3.60148	+	0.887686i
$403$	6.33734	+	5.61439i	0.315685	+	0.279673i
$404$	18.4478	−	16.3433i	0.917810	−	0.813109i
$405$	35.3605	+	8.71559i	1.75708	+	0.433081i
$406$	13.1064	−	3.23043i	0.650458	−	0.160323i
$407$	0.430174	−	0.225773i	0.0213229	−	0.0111911i
$408$	−4.99965	−	2.62402i	−0.247520	−	0.129908i
$409$	−13.9807	+	7.33765i	−0.691303	+	0.362824i	−0.773503	−	0.633792i	$-0.781497\pi$
$409$	−13.9807	+	7.33765i	−0.691303	+	0.362824i	0.0822007	+	0.996616i	$0.473805\pi$
$410$	−21.2788	+	11.1680i	−1.05088	+	0.551546i
$411$	0.828693	−	6.82490i	0.0408764	−	0.336648i
$412$	−24.3448	+	6.00045i	−1.19938	+	0.295621i
$413$	11.0775	+	16.0485i	0.545089	+	0.789697i
$414$	11.2418	+	29.6422i	0.552504	+	1.45683i
$415$	17.5991	−	15.5915i	0.863908	−	0.765355i
$416$	−37.7821	−	33.4720i	−1.85242	−	1.64110i
$417$	−11.0357	+	9.77682i	−0.540423	+	0.478773i
$418$	−0.163442	−	0.236787i	−0.00799422	−	0.0115816i
$419$	−18.9317	−	27.4274i	−0.924876	−	1.33991i	−0.940413	−	0.340035i	$-0.889561\pi$
$419$	−18.9317	−	27.4274i	−0.924876	−	1.33991i	0.0155372	−	0.999879i	$-0.495054\pi$
$420$	32.1217	+	16.8588i	1.56738	+	0.822623i
$421$	−22.4338	−	5.52943i	−1.09336	−	0.269488i	−0.348900	−	0.937160i	$-0.613445\pi$
$421$	−22.4338	−	5.52943i	−1.09336	−	0.269488i	−0.744456	+	0.667672i	$0.767291\pi$
$422$	16.4582	+	8.63791i	0.801171	+	0.420487i
$423$	39.3909	+	20.6739i	1.91525	+	1.00520i
$424$	−1.10788	+	2.92123i	−0.0538032	+	0.141867i
$425$	0.938973	−	7.73314i	0.0455469	−	0.375112i
$426$	−20.7387	+	54.6835i	−1.00479	+	2.64942i
$427$	3.57889	+	29.4748i	0.173195	+	1.42639i
$428$	−9.82502	+	5.15657i	−0.474910	+	0.249252i
$429$	−1.96525	−	1.03144i	−0.0948829	−	0.0497984i
$430$	31.1362	+	16.3416i	1.50152	+	0.788060i
$431$	−22.2344	+	11.6695i	−1.07100	+	0.562102i	−0.905603	−	0.424126i	$-0.860581\pi$
$431$	−22.2344	+	11.6695i	−1.07100	+	0.562102i	−0.165393	+	0.986228i	$0.552889\pi$
$432$	−7.80190	−	64.2545i	−0.375369	−	3.09144i
$433$	8.98612	−	23.6945i	0.431845	−	1.13868i	−0.525769	−	0.850628i	$-0.676222\pi$
$433$	8.98612	−	23.6945i	0.431845	−	1.13868i	0.957614	−	0.288055i	$-0.0930086\pi$
$434$	−1.27017	+	10.4608i	−0.0609700	+	0.502133i
$435$	−2.81139	+	7.41302i	−0.134796	+	0.355427i
$436$	30.2730	+	15.8885i	1.44981	+	0.760921i
$437$	−2.89022	−	1.51691i	−0.138258	−	0.0725635i
$438$	34.4951	+	8.50227i	1.64824	+	0.406254i
$439$	16.8016	+	8.81817i	0.801897	+	0.420868i	0.815298	−	0.579042i	$-0.196573\pi$
$439$	16.8016	+	8.81817i	0.801897	+	0.420868i	−0.0134003	+	0.999910i	$0.504266\pi$
$440$	0.0530651	+	0.0768780i	0.00252978	+	0.00366502i
$441$	50.8937	+	73.7323i	2.42351	+	3.51106i
$442$	−28.1999	+	24.9829i	−1.34133	+	1.18832i
$443$	−24.5352	−	21.7363i	−1.16570	−	1.03272i	−0.998908	−	0.0467293i	$-0.985120\pi$
$443$	−24.5352	−	21.7363i	−1.16570	−	1.03272i	−0.166794	−	0.985992i	$-0.553341\pi$
$444$	19.4185	−	17.2033i	0.921562	−	0.816433i
$445$	−4.34491	−	11.4566i	−0.205968	−	0.543094i
$446$	−22.1574	−	32.1005i	−1.04918	−	1.52000i
$447$	−24.1524	+	5.95302i	−1.14237	+	0.281568i
$448$	2.80707	−	23.1183i	0.132622	−	1.09224i
$449$	20.6946	−	10.8613i	0.976637	−	0.512579i	0.100655	−	0.994921i	$-0.467906\pi$
$449$	20.6946	−	10.8613i	0.976637	−	0.512579i	0.875983	+	0.482343i	$0.160214\pi$
$450$	33.7761	−	17.7270i	1.59222	−	0.835661i
$451$	0.741462	+	0.389149i	0.0349141	+	0.0183243i
$452$	−11.0725	+	5.81130i	−0.520807	+	0.273341i
$453$	−47.9124	+	11.8094i	−2.25112	+	0.554852i
$454$	48.6852	+	11.9998i	2.28491	+	0.563180i
$455$	−33.5701	+	29.7406i	−1.57379	+	1.39426i
$456$	2.13085	+	1.88777i	0.0997861	+	0.0884028i
$457$	−18.9969	+	4.68230i	−0.888636	+	0.219029i	−0.657105	−	0.753799i	$-0.728219\pi$
$457$	−18.9969	+	4.68230i	−0.888636	+	0.219029i	−0.231530	+	0.972828i	$0.574373\pi$
$458$	20.0558	−	10.5261i	0.937147	−	0.491853i
$459$	−41.6386			−1.94352
$460$	−5.06441	−	2.65801i	−0.236129	−	0.123930i
$461$	−5.01887			−0.233752			−0.116876	−	0.993147i	$-0.537288\pi$
$461$	−5.01887			−0.233752			−0.116876	+	0.993147i	$0.537288\pi$
$462$	−0.332967	−	2.74223i	−0.0154910	−	0.127580i
$463$	−0.0861951	+	0.709880i	−0.00400582	+	0.0329909i	−0.994575	−	0.104025i	$-0.966828\pi$
$463$	−0.0861951	+	0.709880i	−0.00400582	+	0.0329909i	0.990569	+	0.137016i	$0.0437510\pi$
$464$	7.28960			0.338411
$465$	−4.63262	−	4.10414i	−0.214833	−	0.190325i
$466$	12.9529	−	18.7655i	0.600032	−	0.869296i
$467$	4.36473	+	35.9468i	0.201975	+	1.66342i	0.642958	+	0.765902i	$0.277707\pi$
$467$	4.36473	+	35.9468i	0.201975	+	1.66342i	−0.440982	+	0.897516i	$0.645370\pi$
$468$	−81.9676	−	20.2032i	−3.78895	−	0.933893i
$469$	46.3678	−	24.3357i	2.14107	−	1.12372i
$470$	−17.0295	+	4.19739i	−0.785512	+	0.193611i
$471$	11.4401	−	30.1651i	0.527132	−	1.38993i
$472$	0.950844	+	2.50717i	0.0437662	+	0.115402i
$473$	−0.147693	−	1.21636i	−0.00679094	−	0.0559285i
$474$	5.96680	+	5.28613i	0.274064	+	0.242800i
$475$	−1.39271	+	3.67227i	−0.0639019	+	0.168495i
$476$	−20.8337	−	5.13505i	−0.954912	−	0.235365i
$477$	4.65889	+	38.3694i	0.213316	+	1.75682i
$478$	−48.2441	−	11.8911i	−2.20664	−	0.543887i
$479$	−29.1675			−1.33270			−0.666348	−	0.745641i	$-0.732144\pi$
$479$	−29.1675			−1.33270			−0.666348	+	0.745641i	$0.732144\pi$
$480$	27.6189	+	24.4682i	1.26062	+	1.11681i
$481$	11.3733	+	29.9889i	0.518578	+	1.36738i
$482$	9.80607	−	25.8565i	0.446654	−	1.17773i
$483$	−17.8024	−	25.7912i	−0.810037	−	1.17354i
$484$	6.57555	−	17.3383i	0.298889	−	0.788105i
$485$	−15.8668	−	14.0568i	−0.720475	−	0.638285i
$486$	−37.3394	−	54.0954i	−1.69375	−	2.45382i
$487$	−1.60953	+	4.24398i	−0.0729347	+	0.192313i	−0.966526	−	0.256568i	$-0.917408\pi$
$487$	−1.60953	+	4.24398i	−0.0729347	+	0.192313i	0.893591	+	0.448881i	$0.148177\pi$
$488$	−0.492118	+	4.05296i	−0.0222771	+	0.183469i
$489$	4.42735	−	36.4625i	0.200212	−	1.64889i
$490$	−34.2957	−	8.45312i	−1.54932	−	0.381873i
$491$	−0.427662	+	3.52212i	−0.0193001	+	0.158951i	−0.999172	−	0.0406743i	$-0.987049\pi$
$491$	−0.427662	+	3.52212i	−0.0193001	+	0.158951i	0.979872	+	0.199625i	$0.0639725\pi$
$492$	43.4166	+	10.7012i	1.95737	+	0.482449i
$493$	0.565246	−	4.65522i	0.0254574	−	0.209661i
$494$	16.8189	−	8.82725i	0.756719	−	0.397157i
$495$	1.02328	+	0.537059i	0.0459931	+	0.0241390i
$496$	−2.01791	+	5.32079i	−0.0906067	+	0.238910i
$497$	4.96368	−	40.8796i	0.222652	−	1.83370i
$498$	−95.6061			−4.28421
$499$	−17.5512	−	15.5490i	−0.785701	−	0.696070i	0.171599	−	0.985167i	$-0.445107\pi$
$499$	−17.5512	−	15.5490i	−0.785701	−	0.696070i	−0.957300	+	0.289097i	$0.906645\pi$
$500$	−7.00255	+	18.4642i	−0.313163	+	0.825744i
$501$	−8.33850	+	21.9868i	−0.372537	+	0.982299i
$502$	−19.7828	−	4.87602i	−0.882950	−	0.217628i
$503$	−3.86476	+	3.42388i	−0.172321	+	0.152663i	−0.744875	−	0.667204i	$-0.767491\pi$
$503$	−3.86476	+	3.42388i	−0.172321	+	0.152663i	0.572554	+	0.819867i	$0.305953\pi$
$504$	6.90357	+	18.2032i	0.307509	+	0.810836i
$505$	−7.89831	−	20.8261i	−0.351470	−	0.926751i
$506$	0.0524967	+	0.432349i	0.00233376	+	0.0192203i
$507$	59.3896	−	86.0407i	2.63759	−	3.82120i
$508$	−3.31773	−	0.817748i	−0.147201	−	0.0362817i
$509$	32.7356	−	8.06860i	1.45098	−	0.357635i	0.566442	−	0.824102i	$-0.308319\pi$
$509$	32.7356	−	8.06860i	1.45098	−	0.357635i	0.884539	+	0.466467i	$0.154473\pi$
$510$	20.6143	−	18.2626i	0.912815	−	0.808683i
$511$	−25.0156			−1.10663
$512$	10.1027	−	26.6385i	0.446479	−	1.17727i
$513$	20.3831	+	5.02399i	0.899937	+	0.221815i
$514$	−6.05756	−	3.17925i	−0.267188	−	0.140231i
$515$	−2.73134	+	22.4946i	−0.120357	+	0.991232i
$516$	−23.2021	−	61.1789i	−1.02142	−	2.69325i
$517$	0.457456	+	0.405270i	0.0201189	+	0.0178238i
$518$	−22.6763	+	32.8523i	−0.996340	+	1.44345i
$519$	53.2037	−	13.1135i	2.33538	−	0.575620i
$520$	−5.46063	+	2.86596i	−0.239464	+	0.125681i
$521$	37.6603	−	19.7657i	1.64993	−	0.865949i	0.656143	−	0.754636i	$-0.272187\pi$
$521$	37.6603	−	19.7657i	1.64993	−	0.865949i	0.993785	−	0.111313i	$-0.0355056\pi$
$522$	20.3326	−	10.6714i	0.889935	−	0.467074i
$523$	4.10805	−	33.8328i	0.179632	−	1.47941i	−0.572233	−	0.820091i	$-0.693923\pi$
$523$	4.10805	−	33.8328i	0.179632	−	1.47941i	0.751866	−	0.659316i	$-0.229154\pi$
$524$	−15.6129	+	22.6192i	−0.682054	+	0.988126i
$525$	−28.2247	+	25.0049i	−1.23183	+	1.09130i
$526$	13.3361	−	11.8148i	0.581483	−	0.515149i
$527$	3.24144	+	1.70124i	0.141199	+	0.0741071i
$528$	0.179811	−	1.48088i	0.00782528	−	0.0644470i
$529$	−10.2587	−	14.8623i	−0.446031	−	0.646187i
$530$	−11.4062	−	10.1050i	−0.495454	−	0.438934i
$531$	24.8302	+	21.9976i	1.07754	+	0.954615i
$532$	9.57905	+	5.02747i	0.415305	+	0.217969i
$533$	−31.4040	+	45.4965i	−1.36026	+	1.97067i
$534$	−17.6674	+	46.5851i	−0.764543	+	2.01593i
$535$	1.20873	+	9.95479i	0.0522580	+	0.430383i
$536$	6.99138	−	1.72322i	0.301982	−	0.0744318i
$537$	3.26375	+	26.8794i	0.140841	+	1.15993i
$538$	−24.2056	+	12.7041i	−1.04358	+	0.547711i
$539$	0.436449	+	1.15082i	0.0187992	+	0.0495694i
$540$	35.7164	+	8.80331i	1.53699	+	0.378834i
$541$	−11.4837	+	30.2800i	−0.493723	+	1.30184i	0.424376	+	0.905486i	$0.360494\pi$
$541$	−11.4837	+	30.2800i	−0.493723	+	1.30184i	−0.918098	+	0.396353i	$0.870276\pi$
$542$	−11.2910	−	5.92598i	−0.484991	−	0.254543i
$543$	−0.810402	−	2.13685i	−0.0347777	−	0.0917012i
$544$	−19.3249	−	10.1425i	−0.828548	−	0.434855i
$545$	23.1276	−	20.4893i	0.990677	−	0.877663i
$546$	182.367			7.80461
$547$	−11.9419	−	10.5796i	−0.510598	−	0.452350i	0.368060	−	0.929802i	$-0.380022\pi$
$547$	−11.9419	−	10.5796i	−0.510598	−	0.452350i	−0.878658	+	0.477452i	$0.841561\pi$
$548$	0.433027	−	3.56630i	0.0184980	−	0.152345i
$549$	17.9107	+	47.2266i	0.764409	+	2.01558i
$550$	0.508812	−	0.125411i	0.0216958	−	0.00534754i
$551$	−0.838388	+	2.21065i	−0.0357165	+	0.0941767i
$552$	−1.52808	−	4.02921i	−0.0650394	−	0.171495i
$553$	−4.97003	−	2.60847i	−0.211347	−	0.110924i
$554$	−19.7650	−	28.6346i	−0.839736	−	1.21657i
$555$	−8.31394	−	21.9220i	−0.352907	−	0.930539i
$556$	−5.76664	+	5.10880i	−0.244560	+	0.216661i
$557$	−5.84620	−	1.44096i	−0.247711	−	0.0610554i	0.113505	−	0.993537i	$-0.463792\pi$
$557$	−5.84620	−	1.44096i	−0.247711	−	0.0610554i	−0.361216	+	0.932482i	$0.617638\pi$
$558$	2.16072	+	17.7951i	0.0914705	+	0.753328i
$559$	80.8921			3.42137
$560$	−26.6913	−	14.0087i	−1.12791	−	0.591975i
$561$	−0.931763	−	0.229659i	−0.0393391	−	0.00969621i
$562$	−1.29241	+	10.6440i	−0.0545170	+	0.448988i
$563$	31.4968	−	7.76326i	1.32743	−	0.327182i	0.489045	−	0.872259i	$-0.337345\pi$
$563$	31.4968	−	7.76326i	1.32743	−	0.327182i	0.838386	+	0.545076i	$0.183499\pi$
$564$	28.8974	+	15.1665i	1.21680	+	0.638626i
$565$	1.36220	+	11.2188i	0.0573084	+	0.471977i
$566$	12.3376	+	17.8740i	0.518586	+	0.751302i
$567$	78.0483	+	69.1448i	3.27772	+	2.90381i
$568$	2.00794	−	5.29449i	0.0842511	−	0.222152i
$569$	28.2616	−	25.0376i	1.18479	−	1.04963i	0.187052	−	0.982350i	$-0.440107\pi$
$569$	28.2616	−	25.0376i	1.18479	−	1.04963i	0.997734	−	0.0672787i	$-0.0214317\pi$
$570$	−12.2947	+	6.45276i	−0.514969	+	0.270277i
$571$	−9.18305	+	24.2137i	−0.384299	+	1.01331i	0.593697	+	0.804689i	$0.297668\pi$
$571$	−9.18305	+	24.2137i	−0.384299	+	1.01331i	−0.977996	+	0.208624i	$0.933102\pi$
$572$	−1.02692	−	0.538971i	−0.0429378	−	0.0225355i
$573$	−37.3027	−	54.0422i	−1.55834	−	2.25765i
$574$	−68.8049			−2.87186
$575$	4.45000	−	3.94236i	0.185578	−	0.164408i
$576$	−4.77520	−	39.3273i	−0.198967	−	1.63864i
$577$	15.7892	+	22.8746i	0.657312	+	0.952282i	0.999918	+	0.0128022i	$0.00407517\pi$
$577$	15.7892	+	22.8746i	0.657312	+	0.952282i	−0.342606	+	0.939479i	$0.611309\pi$
$578$	9.29045	−	13.4595i	0.386432	−	0.559843i
$579$	−13.9444	−	20.2019i	−0.579508	−	0.839562i
$580$	−1.46907	+	3.87362i	−0.0609998	+	0.160843i
$581$	65.3622	−	16.1103i	2.71168	−	0.668369i
$582$	10.3897	+	85.5669i	0.430667	+	3.54686i
$583$	−0.0640037	+	0.527118i	−0.00265076	+	0.0218310i
$584$	−3.33984	−	0.823196i	−0.138203	−	0.0340641i
$585$	−43.3402	+	62.7891i	−1.79190	+	2.59601i
$586$	9.87277	+	5.18163i	0.407840	+	0.214051i
$587$	−9.63210	−	13.9545i	−0.397559	−	0.575964i	0.572173	−	0.820133i	$-0.306100\pi$
$587$	−9.63210	−	13.9545i	−0.397559	−	0.575964i	−0.969733	+	0.244168i	$0.921485\pi$
$588$	37.3360	+	54.0905i	1.53971	+	2.23065i
$589$	−1.38150	−	1.22390i	−0.0569237	−	0.0504300i
$590$	−13.0786			−0.538438
$591$	57.4400	+	14.1577i	2.36277	+	0.582370i
$592$	−16.1357	+	14.2950i	−0.663173	+	0.587520i
$593$	−8.72849	−	12.6454i	−0.358436	−	0.519284i	0.601735	−	0.798695i	$-0.294476\pi$
$593$	−8.72849	−	12.6454i	−0.358436	−	0.519284i	−0.960172	+	0.279411i	$0.909861\pi$
$594$	−0.993278	−	2.61906i	−0.0407547	−	0.107461i
$595$	−11.0158	+	15.9591i	−0.451603	+	0.654260i
$596$	−12.6206	+	3.11070i	−0.516961	+	0.127419i
$597$	39.0015	−	20.4695i	1.59622	−	0.837763i
$598$	−28.7526			−1.17578
$599$	−34.0306			−1.39045			−0.695226	−	0.718791i	$-0.744696\pi$
$599$	−34.0306			−1.39045			−0.695226	+	0.718791i	$0.744696\pi$
$600$	−4.59113	+	2.40961i	−0.187432	+	0.0983719i
$601$	−3.10713	+	25.5895i	−0.126743	+	1.04382i	0.781070	+	0.624443i	$0.214674\pi$
$601$	−3.10713	+	25.5895i	−0.126743	+	1.04382i	−0.907813	+	0.419376i	$0.862249\pi$
$602$	57.1922	+	82.8572i	2.33098	+	3.37701i
$603$	66.6784	−	59.0719i	2.71535	−	2.40559i
$604$	−25.0363	+	6.17089i	−1.01871	+	0.251090i
$605$	−12.5438	−	11.1128i	−0.509979	−	0.451802i
$606$	−32.1164	+	84.6839i	−1.30464	+	3.44005i
$607$	−3.34652	+	27.5611i	−0.135831	+	1.11867i	0.752216	+	0.658917i	$0.228985\pi$
$607$	−3.34652	+	27.5611i	−0.135831	+	1.11867i	−0.888047	+	0.459753i	$0.847938\pi$
$608$	8.23626	+	7.29669i	0.334024	+	0.295920i
$609$	−16.9908	+	15.0526i	−0.688503	+	0.609960i
$610$	−17.6325	−	9.25425i	−0.713919	−	0.374693i
$611$	−30.2005	+	26.7553i	−1.22178	+	1.08240i
$612$	−36.5015			−1.47549
$613$	0.251124	+	0.222476i	0.0101428	+	0.00898572i	0.668179	−	0.744001i	$-0.267074\pi$
$613$	0.251124	+	0.222476i	0.0101428	+	0.00898572i	−0.658036	+	0.752986i	$0.728613\pi$
$614$	20.7051	+	18.3431i	0.835588	+	0.740267i
$615$	22.9564	−	33.2582i	0.925693	−	1.34110i
$616$	0.0322382	+	0.265505i	0.00129891	+	0.0106975i
$617$	3.62838	−	3.21446i	0.146073	−	0.129409i	−0.586922	−	0.809644i	$-0.699660\pi$
$617$	3.62838	−	3.21446i	0.146073	−	0.129409i	0.732995	+	0.680234i	$0.238122\pi$
$618$	68.9679	−	61.1002i	2.77430	−	2.45781i
$619$	9.63163	+	25.3965i	0.387128	+	1.02077i	0.976993	+	0.213271i	$0.0684116\pi$
$619$	9.63163	+	25.3965i	0.387128	+	1.02077i	−0.589865	+	0.807502i	$0.700819\pi$
$620$	−2.42074	−	2.14459i	−0.0972192	−	0.0861287i
$621$	−23.7860	−	21.0726i	−0.954501	−	0.845614i
$622$	−6.80671	−	17.9478i	−0.272924	−	0.719642i
$623$	4.22859	−	34.8255i	0.169415	−	1.39526i
$624$	95.6215	+	23.5686i	3.82792	+	0.943499i
$625$	3.34858	+	2.96658i	0.133943	+	0.118663i
$626$	−36.0955	+	18.9444i	−1.44267	+	0.757170i
$627$	0.428411	+	0.224848i	0.0171091	+	0.00897955i
$628$	5.97793	−	15.7625i	0.238545	−	0.628993i
$629$	7.87775	+	11.4129i	0.314106	+	0.455062i
$630$	−94.9567			−3.78317
$631$	−14.6330	−	38.5840i	−0.582530	−	1.53601i	−0.824582	−	0.565743i	$-0.808589\pi$
$631$	−14.6330	−	38.5840i	−0.582530	−	1.53601i	0.242051	−	0.970264i	$-0.422180\pi$
$632$	−0.577711	−	0.511807i	−0.0229801	−	0.0203586i
$633$	−31.2566			−1.24234
$634$	24.6787			0.980116
$635$	−1.75424	+	2.54146i	−0.0696150	+	0.100855i
$636$	3.41779	+	28.1481i	0.135524	+	1.11614i
$637$	−78.8945	+	19.4457i	−3.12591	+	0.770468i
$638$	0.306296	−	0.0754953i	0.0121264	−	0.00298889i
$639$	−8.44387	−	69.5415i	−0.334034	−	2.75102i
$640$	−5.41514	−	4.79740i	−0.214052	−	0.189634i
$641$	−5.45978	−	7.90985i	−0.215648	−	0.312420i	0.700199	−	0.713948i	$-0.253095\pi$
$641$	−5.45978	−	7.90985i	−0.215648	−	0.312420i	−0.915847	+	0.401528i	$0.868479\pi$
$642$	23.1633	−	33.5578i	0.914182	−	1.32442i
$643$	15.6934	−	41.3801i	0.618887	−	1.63187i	−0.147179	−	0.989110i	$-0.547019\pi$
$643$	15.6934	−	41.3801i	0.618887	−	1.63187i	0.766066	−	0.642762i	$-0.222212\pi$
$644$	−9.30250	−	13.4770i	−0.366570	−	0.531068i
$645$	−59.1325			−2.32834
$646$	6.14740	−	5.44612i	0.241866	−	0.214275i
$647$	−17.7919	+	15.7623i	−0.699473	+	0.619679i	−0.936022	−	0.351940i	$-0.885522\pi$
$647$	−17.7919	+	15.7623i	−0.699473	+	0.619679i	0.236549	+	0.971619i	$0.423983\pi$
$648$	8.14487	+	11.7999i	0.319961	+	0.463543i
$649$	0.258882	+	0.375055i	0.0101620	+	0.0147222i
$650$	4.17012	+	34.3440i	0.163565	+	1.34708i
$651$	−6.28367	−	16.5687i	−0.246277	−	0.649378i
$652$	2.31348	−	19.0532i	0.0906028	−	0.746181i
$653$	−39.9905	−	9.85677i	−1.56495	−	0.385725i	−0.640784	−	0.767721i	$-0.721391\pi$
$653$	−39.9905	−	9.85677i	−1.56495	−	0.385725i	−0.924164	+	0.381996i	$0.875237\pi$
$654$	−125.639			−4.91287
$655$	14.1100	+	20.4419i	0.551325	+	0.798732i
$656$	−36.0768	−	8.89213i	−1.40856	−	0.347179i
$657$	−41.3183	+	10.1840i	−1.61198	+	0.397318i
$658$	−48.7575	−	12.0177i	−1.90077	−	0.468497i
$659$	−9.41522	−	4.94149i	−0.366765	−	0.192493i	0.271265	−	0.962505i	$-0.412558\pi$
$659$	−9.41522	−	4.94149i	−0.366765	−	0.192493i	−0.638030	+	0.770012i	$0.720250\pi$
$660$	0.750686	+	0.393990i	0.0292204	+	0.0153360i
$661$	−20.0018	+	28.9776i	−0.777978	+	1.12710i	0.210774	+	0.977535i	$0.432402\pi$
$661$	−20.0018	+	28.9776i	−0.777978	+	1.12710i	−0.988752	+	0.149562i	$0.952214\pi$
$662$	11.7526	+	30.9891i	0.456778	+	1.20442i
$663$	22.4658	−	59.2374i	0.872499	−	2.30059i
$664$	9.25665			0.359228
$665$	7.31809	−	6.48326i	0.283783	−	0.251410i
$666$	−24.0800	+	63.4938i	−0.933082	+	2.46034i
$667$	2.67883	−	2.37323i	0.103725	−	0.0918920i
$668$	−4.35722	+	11.4890i	−0.168586	+	0.444524i
$669$	58.0785	+	30.4819i	2.24544	+	1.17850i
$670$	−4.23337	+	34.8649i	−0.163549	+	1.34695i
$671$	0.0836389	+	0.688829i	0.00322885	+	0.0265919i
$672$	37.4621	+	98.7795i	1.44513	+	3.81050i
$673$	−30.0941	+	26.6610i	−1.16004	+	1.02771i	−0.160872	+	0.986975i	$0.551431\pi$
$673$	−30.0941	+	26.6610i	−1.16004	+	1.02771i	−0.999170	+	0.0407321i	$0.987031\pi$
$674$	−19.6011	+	28.3971i	−0.755006	+	1.09381i
$675$	−21.7207	+	31.4678i	−0.836029	+	1.21120i
$676$	31.0336	−	44.9599i	1.19360	−	1.72923i
$677$	6.85551	+	9.93192i	0.263479	+	0.381715i	0.932287	−	0.361721i	$-0.117811\pi$
$677$	6.85551	+	9.93192i	0.263479	+	0.381715i	−0.668808	+	0.743435i	$0.733195\pi$
$678$	26.1044	−	37.8187i	1.00253	−	1.45242i
$679$	−21.5217	−	56.7481i	−0.825928	−	2.17779i
$680$	−1.99589	+	1.76820i	−0.0765388	+	0.0678075i
$681$	−81.8699	+	20.1791i	−3.13726	+	0.773266i
$682$	−0.0296839	+	0.244469i	−0.00113665	+	0.00936119i
$683$	17.0792	−	8.96384i	0.653516	−	0.342992i	−0.105164	−	0.994455i	$-0.533537\pi$
$683$	17.0792	−	8.96384i	0.653516	−	0.342992i	0.758680	+	0.651463i	$0.225844\pi$
$684$	17.8684	+	4.40417i	0.683216	+	0.168398i
$685$	−2.87479	−	1.50881i	−0.109840	−	0.0576486i
$686$	−31.7697	−	28.1455i	−1.21297	−	1.07460i
$687$	−21.6371	+	31.3467i	−0.825506	+	1.19595i
$688$	19.2796	+	50.8362i	0.735029	+	1.93811i
$689$	−34.0364	−	8.38922i	−1.29668	−	0.319604i
$690$	21.0183			0.800154
$691$	−4.29284	+	6.21926i	−0.163307	+	0.236592i	−0.896091	−	0.443870i	$-0.853605\pi$
$691$	−4.29284	+	6.21926i	−0.163307	+	0.236592i	0.732784	+	0.680462i	$0.238221\pi$
$692$	27.8012	−	6.85237i	1.05684	−	0.260488i
$693$	1.87960	+	2.72307i	0.0714002	+	0.103441i
$694$	2.75687	+	22.7049i	0.104649	+	0.861865i
$695$	2.46896	+	6.51011i	0.0936529	+	0.246942i
$696$	−2.76378	+	1.45054i	−0.104761	+	0.0549827i
$697$	−8.47606	+	22.3495i	−0.321054	+	0.846549i
$698$	15.3476	−	40.4684i	0.580916	−	1.53175i
$699$	−4.62185	+	38.0644i	−0.174815	+	1.43973i
$700$	−14.7486	+	13.0661i	−0.557445	+	0.493853i
$701$	−3.37110	+	27.7635i	−0.127325	+	1.04861i	0.779293	+	0.626660i	$0.215578\pi$
$701$	−3.37110	+	27.7635i	−0.127325	+	1.04861i	−0.906618	+	0.421953i	$0.861345\pi$
$702$	179.549	−	44.2550i	6.77666	−	1.67030i
$703$	−2.47931	−	6.53740i	−0.0935089	−	0.246563i
$704$	0.0656015	−	0.540277i	0.00247245	−	0.0203625i
$705$	22.0767	−	19.5582i	0.831456	−	0.736606i
$706$	8.89304	+	12.8838i	0.334694	+	0.484888i
$707$	7.68686	−	63.3070i	0.289094	−	2.38090i
$708$	18.2156	+	16.1376i	0.684583	+	0.606488i
$709$	15.3100	+	8.03533i	0.574981	+	0.301773i	0.727037	−	0.686599i	$-0.240897\pi$
$709$	15.3100	+	8.03533i	0.574981	+	0.301773i	−0.152056	+	0.988372i	$0.548589\pi$
$710$	20.6728	+	18.3145i	0.775838	+	0.687332i
$711$	−9.27091	−	2.28508i	−0.347686	−	0.0856970i
$712$	1.71057	−	4.51040i	0.0641064	−	0.169035i
$713$	0.990704	+	2.61227i	0.0371022	+	0.0978304i
$714$	76.5602	−	18.8704i	2.86519	−	0.706207i
$715$	−0.784536	+	0.695039i	−0.0293400	+	0.0259930i
$716$	1.70545	+	14.0456i	0.0637355	+	0.524909i
$717$	81.1282	−	19.9963i	3.02979	−	0.746776i
$718$	−1.35243	−	11.1383i	−0.0504723	−	0.415677i
$719$	−4.37970	−	36.0701i	−0.163335	−	1.34519i	−0.811797	−	0.583939i	$-0.801511\pi$
$719$	−4.37970	−	36.0701i	−0.163335	−	1.34519i	0.648462	−	0.761247i	$-0.275412\pi$
$720$	−49.7891	−	12.2719i	−1.85553	−	0.457347i
$721$	−36.8549	+	53.3935i	−1.37255	+	1.98848i
$722$	28.6392	−	15.0310i	1.06584	−	0.559396i
$723$	5.60528	+	46.1636i	0.208462	+	1.71684i
$724$	−0.423469	−	1.11660i	−0.0157381	−	0.0414980i
$725$	−3.22326	−	2.85556i	−0.119709	−	0.106053i
$726$	8.21378	+	67.6465i	0.304842	+	2.51060i
$727$	−25.8940	+	13.5902i	−0.960357	+	0.504034i	−0.870633	−	0.491933i	$-0.836291\pi$
$727$	−25.8940	+	13.5902i	−0.960357	+	0.504034i	−0.0897233	+	0.995967i	$0.528598\pi$
$728$	−17.6570			−0.654410
$729$	34.4331	+	18.0719i	1.27530	+	0.669329i
$730$	9.53074	−	13.8077i	0.352749	−	0.511045i
$731$	33.9595	−	8.37028i	1.25604	−	0.309586i
$732$	13.1394	+	34.6457i	0.485645	+	1.28054i
$733$	−3.01978	+	4.37491i	−0.111538	+	0.161591i	−0.874777	−	0.484525i	$-0.838992\pi$
$733$	−3.01978	+	4.37491i	−0.111538	+	0.161591i	0.763239	+	0.646116i	$0.223608\pi$
$734$	23.5478	−	5.80401i	0.869165	−	0.214230i
$735$	57.6722	−	14.2149i	2.12727	−	0.524325i
$736$	−5.90640	−	15.5739i	−0.217713	−	0.574062i
$737$	1.08362	−	0.568727i	0.0399156	−	0.0209493i
$738$	−113.645	+	28.0110i	−4.18333	+	1.03110i
$739$	−2.52583	+	20.8020i	−0.0929140	+	0.765216i	0.869557	+	0.493832i	$0.164404\pi$
$739$	−2.52583	+	20.8020i	−0.0929140	+	0.765216i	−0.962471	+	0.271384i	$0.912519\pi$
$740$	−4.34438	−	11.4552i	−0.159703	−	0.421101i
$741$	−18.1450	+	26.2875i	−0.666573	+	0.965697i
$742$	−15.4713	−	40.7946i	−0.567971	−	1.49762i
$743$	−4.76462	−	6.90275i	−0.174797	−	0.253237i	0.725787	−	0.687920i	$-0.241476\pi$
$743$	−4.76462	−	6.90275i	−0.174797	−	0.253237i	−0.900584	+	0.434683i	$0.856861\pi$
$744$	−0.293703	−	2.41886i	−0.0107677	−	0.0886798i
$745$	−1.41596	+	11.6615i	−0.0518767	+	0.427243i
$746$	−12.9094	−	6.77538i	−0.472647	−	0.248064i
$747$	101.400	−	53.2188i	3.71003	−	1.94718i
$748$	−0.486885	−	0.120006i	−0.0178023	−	0.00438787i
$749$	−10.1811	+	26.8454i	−0.372010	+	0.980909i
$750$	−8.74715	−	72.0393i	−0.319401	−	2.63050i
$751$	−30.9659	+	27.4334i	−1.12996	+	1.00106i	−0.130006	+	0.991513i	$0.541500\pi$
$751$	−30.9659	+	27.4334i	−1.12996	+	1.00106i	−0.999954	+	0.00954406i	$0.996962\pi$
$752$	−24.0121	−	12.6025i	−0.875632	−	0.459567i
$753$	33.2671	−	8.19961i	1.21232	−	0.298811i
$754$	2.51034	+	20.6745i	0.0914212	+	0.752921i
$755$	−2.80892	+	23.1336i	−0.102227	+	0.841916i
$756$	78.8339	+	69.8407i	2.86716	+	2.54008i
$757$	−1.44860	−	11.9303i	−0.0526503	−	0.433614i	−0.995069	−	0.0991802i	$-0.968378\pi$
$757$	−1.44860	−	11.9303i	−0.0526503	−	0.433614i	0.942419	−	0.334434i	$-0.108545\pi$
$758$	14.2824	+	3.52029i	0.518759	+	0.127863i
$759$	−0.416043	−	0.602742i	−0.0151014	−	0.0218782i
$760$	1.19038	−	0.624761i	0.0431797	−	0.0226625i
$761$	13.0116	−	11.5273i	0.471670	−	0.417863i	−0.393513	−	0.919319i	$-0.628740\pi$
$761$	13.0116	−	11.5273i	0.471670	−	0.417863i	0.865183	+	0.501456i	$0.167202\pi$
$762$	12.1921	−	3.00508i	0.441672	−	0.108862i
$763$	85.8946	−	21.1711i	3.10959	−	0.766446i
$764$	−19.4922	−	28.2393i	−0.705203	−	1.02166i
$765$	−11.6977	+	30.8443i	−0.422931	+	1.11518i
$766$	26.8856	−	6.62671i	0.971417	−	0.239433i
$767$	−26.6401	+	13.9818i	−0.961918	+	0.504854i
$768$	7.69807	+	63.3993i	0.277780	+	2.28773i
$769$	−0.338676	+	2.78925i	−0.0122130	+	0.100583i	−0.997541	−	0.0700904i	$-0.977671\pi$
$769$	−0.338676	+	2.78925i	−0.0122130	+	0.100583i	0.985328	+	0.170673i	$0.0545943\pi$
$770$	−1.26660	−	0.312190i	−0.0456453	−	0.0112505i
$771$	11.5042			0.414315
$772$	−7.28651	−	10.5563i	−0.262247	−	0.379931i
$773$	9.91292	−	5.20270i	0.356543	−	0.187128i	−0.276935	−	0.960889i	$-0.589319\pi$
$773$	9.91292	−	5.20270i	0.356543	−	0.187128i	0.633478	+	0.773760i	$0.281627\pi$
$774$	128.196	+	113.572i	4.60791	+	4.08225i
$775$	2.97658	−	1.56223i	0.106922	−	0.0561169i
$776$	−1.00594	−	8.28466i	−0.0361111	−	0.297402i
$777$	8.09136	−	66.6383i	0.290276	−	2.39064i
$778$	−27.1296	+	24.0347i	−0.972643	+	0.861686i
$779$	6.84587	−	9.91796i	0.245279	−	0.355348i
$780$	−31.7946	+	46.0625i	−1.13843	+	1.64930i
$781$	0.116002	−	0.955359i	0.00415086	−	0.0341854i
$782$	−12.0707	+	2.97517i	−0.431648	+	0.106392i
$783$	−13.0755	+	18.9431i	−0.467279	+	0.676971i
$784$	−31.0241	−	44.9462i	−1.10800	−	1.60522i
$785$	−11.4038	−	10.1029i	−0.407018	−	0.360586i
$786$	12.1742	−	100.264i	0.434241	−	3.57630i
$787$	−36.8804	+	9.09019i	−1.31464	+	0.324030i	−0.833455	−	0.552587i	$-0.813641\pi$
$787$	−36.8804	+	9.09019i	−1.31464	+	0.324030i	−0.481188	+	0.876618i	$0.659794\pi$
$788$	30.0148	+	7.39799i	1.06923	+	0.263543i
$789$	−10.6244	+	28.0142i	−0.378238	+	0.997333i
$790$	3.33331	−	1.74946i	0.118594	−	0.0622429i
$791$	−11.4738	+	30.2540i	−0.407962	+	1.07571i
$792$	0.161337	+	0.425410i	0.00573285	+	0.0151163i
$793$	−45.8093			−1.62674
$794$	−2.91142	−	4.21792i	−0.103322	−	0.149688i
$795$	24.8808	+	6.13256i	0.882430	+	0.217499i
$796$	20.3799	−	10.6962i	0.722347	−	0.379117i
$797$	−13.0006	−	3.20437i	−0.460506	−	0.113504i	0.00223623	−	0.999997i	$-0.499288\pi$
$797$	−13.0006	−	3.20437i	−0.460506	−	0.113504i	−0.462742	+	0.886493i	$0.653134\pi$
$798$	−39.7550			−1.40731
$799$	−9.91005	+	14.3572i	−0.350593	+	0.507921i
$800$	−17.7458	+	9.31373i	−0.627410	+	0.329290i
$801$	−7.19338	−	59.2428i	−0.254165	−	2.09324i
$802$	−0.669256	+	0.969584i	−0.0236322	+	0.0342372i
$803$	−0.584617			−0.0206307
$804$	48.9157	−	43.3355i	1.72512	−	1.52833i
$805$	−14.3694	+	3.54174i	−0.506455	+	0.124830i
$806$	−15.7855	−	3.89078i	−0.556022	−	0.137047i
$807$	26.1140	−	37.8327i	0.919257	−	1.33177i
$808$	3.10953	−	8.19916i	0.109393	−	0.288445i
$809$	−5.32983	−	43.8951i	−0.187387	−	1.54327i	−0.718235	−	0.695801i	$-0.755050\pi$
$809$	−5.32983	−	43.8951i	−0.187387	−	1.54327i	0.530848	−	0.847467i	$-0.321874\pi$
$810$	−67.9010	+	16.7361i	−2.38580	+	0.588046i
$811$	−1.57648	−	0.388566i	−0.0553575	−	0.0136444i	0.211540	−	0.977369i	$-0.432152\pi$
$811$	−1.57648	−	0.388566i	−0.0553575	−	0.0136444i	−0.266897	+	0.963725i	$0.585998\pi$
$812$	−8.87842	+	7.86559i	−0.311571	+	0.276028i
$813$	21.4434			0.752052
$814$	−0.529947	+	0.767761i	−0.0185746	+	0.0269100i
$815$	−15.3588	−	8.06092i	−0.537995	−	0.282362i
$816$	42.5819			1.49066
$817$	−17.6340			−0.616935
$818$	17.2234	−	24.9524i	0.602201	−	0.872439i
$819$	−193.419	+	101.514i	−6.75862	+	3.54720i
$820$	11.9957	−	17.3788i	0.418908	−	0.606894i
$821$	35.6068	−	18.6879i	1.24268	−	0.652211i	0.290249	−	0.956951i	$-0.406262\pi$
$821$	35.6068	−	18.6879i	1.24268	−	0.652211i	0.952436	+	0.304740i	$0.0985695\pi$
$822$	4.68141	+	12.3439i	0.163283	+	0.430542i
$823$	−20.6086	−	5.07956i	−0.718370	−	0.177062i	−0.136847	−	0.990592i	$-0.543697\pi$
$823$	−20.6086	−	5.07956i	−0.718370	−	0.177062i	−0.581523	+	0.813530i	$0.697543\pi$
$824$	−6.67753	+	5.91577i	−0.232623	+	0.206086i
$825$	−0.659614	+	0.584367i	−0.0229648	+	0.0203450i
$826$	−33.1565	−	17.4019i	−1.15366	−	0.605489i
$827$	25.7377	+	22.8016i	0.894986	+	0.792889i	0.979060	−	0.203571i	$-0.0652548\pi$
$827$	25.7377	+	22.8016i	0.894986	+	0.792889i	−0.0840740	+	0.996460i	$0.526793\pi$
$828$	−20.8515	−	18.4728i	−0.724640	−	0.641975i
$829$	10.4902	−	5.50569i	0.364340	−	0.191221i	−0.272611	−	0.962124i	$-0.587887\pi$
$829$	10.4902	−	5.50569i	0.364340	−	0.191221i	0.636952	+	0.770904i	$0.280195\pi$
$830$	−16.0102	+	42.2153i	−0.555720	+	1.46531i
$831$	51.8077	+	27.1908i	1.79719	+	0.943237i
$832$	34.8861	+	8.59865i	1.20946	+	0.298105i
$833$	−31.1088	+	16.3271i	−1.07785	+	0.565702i
$834$	10.0394	−	26.4716i	0.347634	−	0.916636i
$835$	8.31202	+	7.36381i	0.287649	+	0.254835i
$836$	0.223863	+	0.117492i	0.00774246	+	0.00406356i
$837$	−10.2073	−	14.7878i	−0.352815	−	0.511141i
$838$	56.6653	+	29.7402i	1.95747	+	1.02736i
$839$	47.6684			1.64570			0.822848	−	0.568262i	$-0.192384\pi$
$839$	47.6684			1.64570			0.822848	+	0.568262i	$0.192384\pi$
$840$	12.9073			0.445345
$841$	19.7665	+	17.5116i	0.681602	+	0.603847i
$842$	43.0785	−	10.6179i	1.48458	−	0.365916i
$843$	−6.39371	−	16.8588i	−0.220211	−	0.580649i
$844$	−16.3329			−0.562202
$845$	−28.0463	−	40.6321i	−0.964823	−	1.39779i
$846$	−85.4252			−2.93698
$847$	−17.0144	−	44.8633i	−0.584621	−	1.54152i
$848$	−2.83999	−	23.3895i	−0.0975258	−	0.803197i
$849$	−32.3390	−	16.9728i	−1.10987	−	0.582505i
$850$	5.30440	+	13.9865i	0.181939	+	0.479735i
$851$	−1.27571	+	10.5064i	−0.0437308	+	0.360155i
$852$	−6.19448	−	51.0161i	−0.212219	−	1.74778i
$853$	−1.64391	+	13.5388i	−0.0562863	+	0.463560i	0.937128	+	0.348985i	$0.113474\pi$
$853$	−1.64391	+	13.5388i	−0.0562863	+	0.463560i	−0.993415	+	0.114575i	$0.963449\pi$
$854$	−32.3880	−	46.9222i	−1.10830	−	1.60564i
$855$	9.44789	−	13.6876i	0.323111	−	0.468107i
$856$	−2.24269	+	3.24909i	−0.0766535	+	0.111052i
$857$	−19.8612	+	10.4240i	−0.678446	+	0.356076i	−0.768490	−	0.639862i	$-0.778992\pi$
$857$	−19.8612	+	10.4240i	−0.678446	+	0.356076i	0.0900441	+	0.995938i	$0.471299\pi$
$858$	4.26194			0.145500
$859$	−10.4525	−	27.3815i	−0.356634	−	0.934244i
$859$	−10.4525	−	27.3815i	−0.356634	−	0.934244i
$860$	−30.8992			−1.05366
$861$	102.450	−	53.7702i	3.49150	−	1.83248i
$862$	27.3914	−	39.6833i	0.932956	−	1.35162i
$863$	23.6949	−	34.3280i	0.806584	−	1.16854i	−0.176304	−	0.984336i	$-0.556414\pi$
$863$	23.6949	−	34.3280i	0.806584	−	1.16854i	0.982888	−	0.184203i	$-0.0589703\pi$
$864$	60.8540	+	88.1622i	2.07030	+	2.99934i
$865$	3.11913	−	25.6883i	0.106053	−	0.873429i
$866$	5.86549	+	48.3066i	0.199317	+	1.64153i
$867$	−3.31502	+	27.3016i	−0.112584	+	0.927212i
$868$	−3.28348	−	8.65784i	−0.111449	−	0.293866i
$869$	−0.116150	−	0.0609601i	−0.00394011	−	0.00206793i
$870$	−1.83507	−	15.1132i	−0.0622147	−	0.512384i
$871$	28.6496	+	75.5428i	0.970755	+	2.55967i
$872$	12.1645			0.411941
$873$	−58.6499	−	84.9691i	−1.98500	−	2.87577i
$874$	6.26790			0.212015
$875$	18.1192	+	47.7765i	0.612542	+	1.61514i
$876$	−30.3114	+	7.47108i	−1.02413	+	0.252424i
$877$	−8.78402	−	7.78196i	−0.296615	−	0.262778i	0.501668	−	0.865060i	$-0.332720\pi$
$877$	−8.78402	−	7.78196i	−0.296615	−	0.262778i	−0.798283	+	0.602282i	$0.794258\pi$
$878$	−36.4369			−1.22969
$879$	−18.7499			−0.632419
$880$	−0.623778	−	0.327384i	−0.0210275	−	0.0110361i
$881$	17.6787	+	25.6120i	0.595611	+	0.862892i	0.998631	−	0.0522994i	$-0.0166550\pi$
$881$	17.6787	+	25.6120i	0.595611	+	0.862892i	−0.403020	+	0.915191i	$0.632040\pi$
$882$	−152.332	−	79.9499i	−5.12928	−	2.69205i
$883$	24.2814	+	21.5114i	0.817133	+	0.723917i	0.964190	−	0.265211i	$-0.0854416\pi$
$883$	24.2814	+	21.5114i	0.817133	+	0.723917i	−0.147057	+	0.989128i	$0.546980\pi$
$884$	11.7393	−	30.9540i	0.394836	−	1.04110i
$885$	19.4740	−	10.2208i	0.654612	−	0.343567i
$886$	61.1141	+	15.0633i	2.05317	+	0.506061i
$887$	4.06838	+	2.13525i	0.136603	+	0.0716946i	0.531640	−	0.846971i	$-0.321576\pi$
$887$	4.06838	+	2.13525i	0.136603	+	0.0716946i	−0.395037	+	0.918665i	$0.629268\pi$
$888$	3.27316	−	8.63061i	0.109840	−	0.289624i
$889$	−7.82887	+	4.10891i	−0.262572	+	0.137808i
$890$	17.6113	+	15.6022i	0.590332	+	0.522988i
$891$	1.82399	+	1.61592i	0.0611061	+	0.0541353i
$892$	30.3485	+	15.9281i	1.01614	+	0.533312i
$893$	6.58352	−	5.83249i	0.220309	−	0.195177i
$894$	35.7538	−	31.6751i	1.19578	−	1.05937i
$895$	12.4153	+	3.06009i	0.414996	+	0.102287i
$896$	−7.34508	−	19.3674i	−0.245382	−	0.647019i
$897$	42.8127	−	22.4698i	1.42947	−	0.750245i
$898$	−25.4944	+	36.9350i	−0.850759	+	1.23254i
$899$	1.79185	−	0.940436i	0.0597616	−	0.0313653i
$900$	−19.0409	+	27.5856i	−0.634698	+	0.919519i
$901$	−15.1570			−0.504952
$902$	−1.60798			−0.0535397
$903$	−149.911	−	78.6794i	−4.98873	−	2.61829i
$904$	−2.52744	+	3.66163i	−0.0840615	+	0.121784i
$905$	−1.07925			−0.0358754
$906$	70.9268	−	62.8357i	2.35639	−	2.08758i
$907$	26.4921	+	6.52972i	0.879656	+	0.216816i	0.653182	−	0.757201i	$-0.273434\pi$
$907$	26.4921	+	6.52972i	0.879656	+	0.216816i	0.226475	+	0.974017i	$0.427280\pi$
$908$	−42.7805	+	10.5444i	−1.41972	+	0.349930i
$909$	−13.0763	−	107.693i	−0.433715	−	3.57197i
$910$	30.5392	−	80.5252i	1.01236	−	2.66938i
$911$	32.4251	−	46.9759i	1.07429	−	1.55638i	0.269334	−	0.963047i	$-0.413196\pi$
$911$	32.4251	−	46.9759i	1.07429	−	1.55638i	0.804957	−	0.593333i	$-0.202188\pi$
$912$	−20.8449	−	5.13781i	−0.690244	−	0.170130i
$913$	1.52752	−	0.376499i	0.0505535	−	0.0124603i
$914$	28.1219	−	24.9138i	0.930188	−	0.824075i
$915$	33.4868			1.10704
$916$	−11.3063	+	16.3800i	−0.373570	+	0.541210i
$917$	8.57216	+	70.5981i	0.283078	+	2.33135i
$918$	70.7979	−	37.1576i	2.33668	−	1.22638i
$919$	4.22793	−	6.12522i	0.139467	−	0.202052i	−0.747026	−	0.664795i	$-0.768519\pi$
$919$	4.22793	−	6.12522i	0.139467	−	0.202052i	0.886493	+	0.462742i	$0.153134\pi$
$920$	−2.03501			−0.0670923
$921$	−45.1647	−	11.1321i	−1.48823	−	0.366815i
$922$	8.53356	−	4.47876i	0.281038	−	0.147500i
$923$	61.6883	+	15.2048i	2.03049	+	0.500472i
$924$	1.37889	+	1.99766i	0.0453621	+	0.0657184i
$925$	12.7346			0.418709
$926$	−0.486929	−	1.28393i	−0.0160015	−	0.0421924i
$927$	−39.1363	+	103.194i	−1.28540	+	3.38933i
$928$	−10.6827	+	5.60671i	−0.350677	+	0.184049i
$929$	−1.20237	+	3.17038i	−0.0394483	+	0.104017i	−0.953293	−	0.302048i	$-0.902330\pi$
$929$	−1.20237	+	3.17038i	−0.0394483	+	0.104017i	0.913845	+	0.406064i	$0.133099\pi$
$930$	11.5393	+	2.84418i	0.378388	+	0.0932644i
$931$	17.1985	−	4.23905i	0.563658	−	0.138929i
$932$	−2.41511	+	19.8902i	−0.0791097	+	0.651527i
$933$	24.1612	+	21.4049i	0.791001	+	0.700766i
$934$	−39.4996	−	57.2251i	−1.29247	−	1.87246i
$935$	−0.257440	+	0.372966i	−0.00841917	+	0.0121973i
$936$	−29.1640	+	7.18827i	−0.953254	+	0.234956i
$937$	0.0277809	−	0.228796i	0.000907562	−	0.00747444i	−0.992248	−	0.124273i	$-0.960340\pi$
$937$	0.0277809	−	0.228796i	0.000907562	−	0.00747444i	0.993156	+	0.116799i	$0.0372632\pi$
$938$	−57.1222	+	82.7557i	−1.86510	+	2.70207i
$939$	38.9414	−	56.4163i	1.27080	−	1.84108i
$940$	11.5360	−	10.2200i	0.376263	−	0.333340i
$941$	1.70945	−	14.0786i	0.0557264	−	0.458948i	−0.937959	−	0.346746i	$-0.887287\pi$
$941$	1.70945	−	14.0786i	0.0557264	−	0.458948i	0.993685	−	0.112202i	$-0.0357903\pi$
$942$	7.46727	+	61.4985i	0.243297	+	2.00373i
$943$	−16.1527	+	8.47758i	−0.526003	+	0.276068i
$944$	−15.1361	−	13.4094i	−0.492639	−	0.436440i
$945$	84.2803	−	44.2337i	2.74164	−	1.43892i
$946$	1.33659	+	1.93638i	0.0434561	+	0.0629571i
$947$	−15.3472			−0.498718			−0.249359	−	0.968411i	$-0.580220\pi$
$947$	−15.3472			−0.498718			−0.249359	+	0.968411i	$0.580220\pi$
$948$	−6.80120	−	1.67635i	−0.220893	−	0.0544452i
$949$	4.65217	−	38.3141i	0.151016	−	1.24373i
$950$	−0.909059	−	7.48678i	−0.0294938	−	0.242903i
$951$	−36.7465	+	19.2861i	−1.19159	+	0.625394i
$952$	−7.41262	+	1.82705i	−0.240244	+	0.0592149i
$953$	5.56540	−	14.6748i	0.180281	−	0.475362i	−0.814162	−	0.580638i	$-0.802803\pi$
$953$	5.56540	−	14.6748i	0.180281	−	0.475362i	0.994443	+	0.105276i	$0.0335725\pi$
$954$	−42.1618	−	61.0818i	−1.36504	−	1.97760i
$955$	−30.1093	+	7.42127i	−0.974313	+	0.240147i
$956$	42.3929	−	10.4489i	1.37108	−	0.337942i
$957$	−0.397076	+	0.351779i	−0.0128357	+	0.0113714i
$958$	49.5934	−	26.0286i	1.60229	−	0.840946i
$959$	−5.28053	−	7.65017i	−0.170517	−	0.247037i
$960$	−25.5019	−	6.28565i	−0.823070	−	0.202869i
$961$	−3.54622	−	29.2057i	−0.114394	−	0.942121i
$962$	−46.0996	−	40.8407i	−1.48631	−	1.31676i
$963$	−5.88718	+	48.4853i	−0.189712	+	1.56242i
$964$	2.92899	+	24.1224i	0.0943365	+	0.776931i
$965$	−11.2554	+	2.77420i	−0.362323	+	0.0893045i
$966$	53.2850	+	27.9661i	1.71442	+	0.899795i
$967$	19.7750	−	17.5191i	0.635920	−	0.563376i	−0.282360	−	0.959309i	$-0.591117\pi$
$967$	19.7750	−	17.5191i	0.635920	−	0.563376i	0.918279	+	0.395933i	$0.129579\pi$
$968$	−0.795264	−	6.54959i	−0.0255608	−	0.210512i
$969$	−4.89740	+	12.9134i	−0.157327	+	0.414838i
$970$	39.5223	+	9.74138i	1.26899	+	0.312777i
$971$	−22.2523	+	11.6789i	−0.714109	+	0.374793i	−0.782319	−	0.622878i	$-0.785963\pi$
$971$	−22.2523	+	11.6789i	−0.714109	+	0.374793i	0.0682101	+	0.997671i	$0.478271\pi$
$972$	51.1428	+	26.8418i	1.64041	+	0.860952i
$973$	−2.40286	+	19.7893i	−0.0770321	+	0.634417i
$974$	−1.05058	−	8.65233i	−0.0336629	−	0.277239i
$975$	−33.0487	−	47.8793i	−1.05840	−	1.53336i
$976$	−10.9181	−	28.7886i	−0.349480	−	0.921502i
$977$	−24.5608	+	35.5825i	−0.785770	+	1.13839i	0.201524	+	0.979484i	$0.435411\pi$
$977$	−24.5608	+	35.5825i	−0.785770	+	1.13839i	−0.987294	+	0.158902i	$0.949205\pi$
$978$	25.0108	+	65.9480i	0.799756	+	2.10878i
$979$	0.0988223	−	0.813875i	0.00315837	−	0.0260116i
$980$	30.1362	−	7.42790i	0.962664	−	0.237275i
$981$	133.253	−	69.9366i	4.25444	−	2.23290i
$982$	−2.41593	−	6.37028i	−0.0770953	−	0.203284i
$983$	−4.01973	+	0.990774i	−0.128209	+	0.0316008i	−0.302898	−	0.953023i	$-0.597954\pi$
$983$	−4.01973	+	0.990774i	−0.128209	+	0.0316008i	0.174689	+	0.984624i	$0.444108\pi$
$984$	15.4476	−	3.80749i	0.492451	−	0.121378i
$985$	15.8703	−	22.9921i	0.505669	−	0.732588i
$986$	3.19316	+	8.41967i	0.101691	+	0.268137i
$987$	81.9916	−	20.2091i	2.60982	−	0.643263i
$988$	−9.48152	+	13.7363i	−0.301647	+	0.437011i
$989$	23.6355	+	12.4048i	0.751564	+	0.394451i
$990$	−2.21914			−0.0705290
$991$	23.5001	−	12.3338i	0.746505	−	0.391796i	−0.0481638	−	0.998839i	$-0.515337\pi$
$991$	23.5001	−	12.3338i	0.746505	−	0.391796i	0.794669	+	0.607044i	$0.207645\pi$
$992$	−1.13523	−	9.34950i	−0.0360437	−	0.296847i
$993$	−41.7172	−	36.9582i	−1.32385	−	1.17283i
$994$	28.0406	+	73.9369i	0.889393	+	2.34514i
$995$	−2.50725	−	20.6491i	−0.0794853	−	0.654620i
$996$	74.3877	−	39.0417i	2.35706	−	1.23708i
$997$	−27.3857	+	39.6751i	−0.867315	+	1.25652i	0.0979343	+	0.995193i	$0.468776\pi$
$997$	−27.3857	+	39.6751i	−0.867315	+	1.25652i	−0.965250	+	0.261330i	$0.915839\pi$
$998$	43.7180	+	10.7755i	1.38387	+	0.341093i
$999$	−8.20474	−	67.5721i	−0.259586	−	2.13789i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	859.2.f.a.100.14	✓	840
859.524	even	13	inner	859.2.f.a.524.14	yes	840

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
859.2.f.a.100.14	✓	840	1.1	even	1	trivial
859.2.f.a.524.14	yes	840	859.524	even	13	inner

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	859.2.f.a.100.14

Level	$859$
Weight	$2$
Character	859.100
Analytic conductor	$6.859$
Analytic rank	$0$
Dimension	$840$
Inner twists	$2$