LMFDB - Embedded newform 350.2.x.a.283.6

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [350,2,Mod(3,350)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("350.3"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(350, base_ring=CyclotomicField(60)) chi = DirichletCharacter(H, H._module([21, 10])) N = Newforms(chi, 2, names="a")

Level:	$N$	$=$	$350 = 2 \cdot 5^{2} \cdot 7$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	350.x (of order $60$ , degree $16$ , 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:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$20$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			283.6
Character	$\chi$	$=$	350.283
Dual form			350.2.x.a.47.6

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0523360 - 0.998630i) q^{2} +(0.430457 + 0.348577i) q^{3} +(-0.994522 + 0.104528i) q^{4} +(2.13745 - 0.656738i) q^{5} +(0.325571 - 0.448110i) q^{6} +(-0.343048 + 2.62342i) q^{7} +(0.156434 + 0.987688i) q^{8} +(-0.559948 - 2.63435i) q^{9} +(-0.767703 - 2.10015i) q^{10} +(4.51503 + 0.959700i) q^{11} +(-0.464535 - 0.301673i) q^{12} +(-1.77301 - 3.47972i) q^{13} +(2.63778 + 0.205278i) q^{14} +(1.14900 + 0.462369i) q^{15} +(0.978148 - 0.207912i) q^{16} +(7.52212 + 2.88747i) q^{17} +(-2.60143 + 0.697052i) q^{18} +(-0.203003 + 1.93145i) q^{19} +(-2.05709 + 0.876565i) q^{20} +(-1.06213 + 1.00969i) q^{21} +(0.722086 - 4.55907i) q^{22} +(-5.87822 + 0.308064i) q^{23} +(-0.276947 + 0.479687i) q^{24} +(4.13739 - 2.80749i) q^{25} +(-3.38216 + 1.95269i) q^{26} +(1.43163 - 2.80973i) q^{27} +(0.0669466 - 2.64490i) q^{28} +(-2.48982 - 3.42694i) q^{29} +(0.401601 - 1.17163i) q^{30} +(-1.81830 - 4.08398i) q^{31} +(-0.258819 - 0.965926i) q^{32} +(1.60900 + 1.98695i) q^{33} +(2.48984 - 7.66293i) q^{34} +(0.989650 + 5.83272i) q^{35} +(0.832245 + 2.56139i) q^{36} +(-0.822559 + 1.26663i) q^{37} +(1.93943 + 0.101641i) q^{38} +(0.449748 - 2.11590i) q^{39} +(0.983023 + 2.00840i) q^{40} +(-3.28295 - 1.06670i) q^{41} +(1.06389 + 1.00783i) q^{42} +(6.54717 + 6.54717i) q^{43} +(-4.59062 - 0.482493i) q^{44} +(-2.92694 - 5.26305i) q^{45} +(0.615284 + 5.85404i) q^{46} +(-0.294171 - 0.766342i) q^{47} +(0.493524 + 0.251463i) q^{48} +(-6.76464 - 1.79991i) q^{49} +(-3.02018 - 3.98479i) q^{50} +(2.23144 + 3.86497i) q^{51} +(2.12702 + 3.27533i) q^{52} +(-7.12110 + 8.79383i) q^{53} +(-2.88080 - 1.28262i) q^{54} +(10.2809 - 0.913882i) q^{55} +(-2.64478 + 0.0715687i) q^{56} +(-0.760643 + 0.760643i) q^{57} +(-3.29194 + 2.66576i) q^{58} +(-2.32166 - 2.57847i) q^{59} +(-1.19104 - 0.339732i) q^{60} +(-1.38660 - 1.24850i) q^{61} +(-3.98322 + 2.02955i) q^{62} +(7.10308 - 0.565270i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(-6.07498 - 6.27333i) q^{65} +(1.90002 - 1.71078i) q^{66} +(-3.59610 + 9.36817i) q^{67} +(-7.78274 - 2.08538i) q^{68} +(-2.63770 - 1.91640i) q^{69} +(5.77293 - 1.29355i) q^{70} +(2.57776 - 1.87285i) q^{71} +(2.51432 - 0.965157i) q^{72} +(-6.54873 + 4.25280i) q^{73} +(1.30794 + 0.755141i) q^{74} +(2.75959 + 0.233697i) q^{75} -1.94209i q^{76} +(-4.06657 + 11.5156i) q^{77} +(-2.13654 - 0.338394i) q^{78} +(-3.15705 + 7.09085i) q^{79} +(1.95420 - 1.08679i) q^{80} +(-5.78542 + 2.57584i) q^{81} +(-0.893417 + 3.33428i) q^{82} +(-14.5887 + 2.31063i) q^{83} +(0.950771 - 1.11518i) q^{84} +(17.9745 + 1.23177i) q^{85} +(6.19555 - 6.88085i) q^{86} +(0.122794 - 2.34304i) q^{87} +(-0.241578 + 4.60958i) q^{88} +(-3.16730 + 3.51764i) q^{89} +(-5.10265 + 3.19837i) q^{90} +(9.73699 - 3.45763i) q^{91} +(5.81382 - 0.920818i) q^{92} +(0.640879 - 2.39179i) q^{93} +(-0.749896 + 0.333875i) q^{94} +(0.834546 + 4.26170i) q^{95} +(0.225289 - 0.506008i) q^{96} +(-5.61182 - 0.888824i) q^{97} +(-1.44341 + 6.84957i) q^{98} -12.4316i q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100})$ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$ .

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{20}\right)$

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

)

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

$2$	−0.0523360	−	0.998630i	−0.0370071	−	0.706138i
$2$	−0.0523360	−	0.998630i	−0.0370071	−	0.706138i
$3$	0.430457	+	0.348577i	0.248524	+	0.201251i	0.745486	−	0.666522i	$-0.232218\pi$
$3$	0.430457	+	0.348577i	0.248524	+	0.201251i	−0.496961	+	0.867773i	$0.665551\pi$
$4$	−0.994522	+	0.104528i	−0.497261	+	0.0522642i
$5$	2.13745	−	0.656738i	0.955897	−	0.293702i
$5$	2.13745	−	0.656738i	0.955897	−	0.293702i
$6$	0.325571	−	0.448110i	0.132914	−	0.182940i
$7$	−0.343048	+	2.62342i	−0.129660	+	0.991559i
$7$	−0.343048	+	2.62342i	−0.129660	+	0.991559i
$8$	0.156434	+	0.987688i	0.0553079	+	0.349201i
$9$	−0.559948	−	2.63435i	−0.186649	−	0.878116i
$10$	−0.767703	−	2.10015i	−0.242769	−	0.664126i
$11$	4.51503	+	0.959700i	1.36133	+	0.289360i	0.829982	−	0.557791i	$-0.188351\pi$
$11$	4.51503	+	0.959700i	1.36133	+	0.289360i	0.531352	+	0.847151i	$0.321684\pi$
$12$	−0.464535	−	0.301673i	−0.134100	−	0.0870854i
$13$	−1.77301	−	3.47972i	−0.491744	−	0.965101i	−0.994896	−	0.100904i	$-0.967827\pi$
$13$	−1.77301	−	3.47972i	−0.491744	−	0.965101i	0.503153	−	0.864198i	$-0.332173\pi$
$14$	2.63778	+	0.205278i	0.704975	+	0.0548630i
$15$	1.14900	+	0.462369i	0.296672	+	0.119383i
$16$	0.978148	−	0.207912i	0.244537	−	0.0519779i
$17$	7.52212	+	2.88747i	1.82438	+	0.700315i	0.988463	+	0.151464i	$0.0483986\pi$
$17$	7.52212	+	2.88747i	1.82438	+	0.700315i	0.835920	+	0.548851i	$0.184935\pi$
$18$	−2.60143	+	0.697052i	−0.613163	+	0.164297i
$19$	−0.203003	+	1.93145i	−0.0465722	+	0.443105i	0.946244	+	0.323454i	$0.104844\pi$
$19$	−0.203003	+	1.93145i	−0.0465722	+	0.443105i	−0.992816	+	0.119651i	$0.961823\pi$
$20$	−2.05709	+	0.876565i	−0.459980	+	0.196006i
$21$	−1.06213	+	1.00969i	−0.231776	+	0.220332i
$22$	0.722086	−	4.55907i	0.153949	−	0.971998i
$23$	−5.87822	+	0.308064i	−1.22569	+	0.0642359i	−0.654168	−	0.756349i	$-0.726981\pi$
$23$	−5.87822	+	0.308064i	−1.22569	+	0.0642359i	−0.571525	+	0.820585i	$0.693648\pi$
$24$	−0.276947	+	0.479687i	−0.0565316	+	0.0979156i
$25$	4.13739	−	2.80749i	0.827478	−	0.561498i
$26$	−3.38216	+	1.95269i	−0.663296	+	0.382954i
$27$	1.43163	−	2.80973i	0.275517	−	0.540733i
$28$	0.0669466	−	2.64490i	0.0126517	−	0.499840i
$29$	−2.48982	−	3.42694i	−0.462347	−	0.636367i	0.512646	−	0.858600i	$-0.328665\pi$
$29$	−2.48982	−	3.42694i	−0.462347	−	0.636367i	−0.974994	+	0.222233i	$0.928665\pi$
$30$	0.401601	−	1.17163i	0.0733220	−	0.213909i
$31$	−1.81830	−	4.08398i	−0.326577	−	0.733504i	0.673406	−	0.739272i	$-0.264830\pi$
$31$	−1.81830	−	4.08398i	−0.326577	−	0.733504i	−0.999983	+	0.00576872i	$0.998164\pi$
$32$	−0.258819	−	0.965926i	−0.0457532	−	0.170753i
$33$	1.60900	+	1.98695i	0.280091	+	0.345883i
$34$	2.48984	−	7.66293i	0.427004	−	1.31418i
$35$	0.989650	+	5.83272i	0.167281	+	0.985909i
$36$	0.832245	+	2.56139i	0.138707	+	0.426898i
$37$	−0.822559	+	1.26663i	−0.135228	+	0.208233i	−0.899797	−	0.436309i	$-0.856285\pi$
$37$	−0.822559	+	1.26663i	−0.135228	+	0.208233i	0.764569	+	0.644542i	$0.222952\pi$
$38$	1.93943	+	0.101641i	0.314616	+	0.0164883i
$39$	0.449748	−	2.11590i	0.0720174	−	0.338815i
$40$	0.983023	+	2.00840i	0.155430	+	0.317556i
$41$	−3.28295	−	1.06670i	−0.512711	−	0.166590i	0.0412239	−	0.999150i	$-0.486874\pi$
$41$	−3.28295	−	1.06670i	−0.512711	−	0.166590i	−0.553935	+	0.832560i	$0.686874\pi$
$42$	1.06389	+	1.00783i	0.164162	+	0.155512i
$43$	6.54717	+	6.54717i	0.998435	+	0.998435i	0.999999	−	0.00156412i	$-0.000497875\pi$
$43$	6.54717	+	6.54717i	0.998435	+	0.998435i	−0.00156412	+	0.999999i	$0.500498\pi$
$44$	−4.59062	−	0.482493i	−0.692061	−	0.0727386i
$45$	−2.92694	−	5.26305i	−0.436322	−	0.784569i
$46$	0.615284	+	5.85404i	0.0907187	+	0.863131i
$47$	−0.294171	−	0.766342i	−0.0429093	−	0.111782i	0.910451	−	0.413616i	$-0.135735\pi$
$47$	−0.294171	−	0.766342i	−0.0429093	−	0.111782i	−0.953361	+	0.301834i	$0.902401\pi$
$48$	0.493524	+	0.251463i	0.0712340	+	0.0362955i
$49$	−6.76464	−	1.79991i	−0.966377	−	0.257131i
$50$	−3.02018	−	3.98479i	−0.427117	−	0.563534i
$51$	2.23144	+	3.86497i	0.312464	+	0.541204i
$52$	2.12702	+	3.27533i	0.294965	+	0.454206i
$53$	−7.12110	+	8.79383i	−0.978159	+	1.20793i	−1.42979e−5		1.00000i	$0.500005\pi$
$53$	−7.12110	+	8.79383i	−0.978159	+	1.20793i	−0.978145	+	0.207926i	$0.933329\pi$
$54$	−2.88080	−	1.28262i	−0.392028	−	0.174542i
$55$	10.2809	−	0.913882i	1.38628	−	0.123228i
$56$	−2.64478	+	0.0715687i	−0.353424	+	0.00956377i
$57$	−0.760643	+	0.760643i	−0.100750	+	0.100750i
$58$	−3.29194	+	2.66576i	−0.432252	+	0.350031i
$59$	−2.32166	−	2.57847i	−0.302255	−	0.335688i	0.572815	−	0.819685i	$-0.305851\pi$
$59$	−2.32166	−	2.57847i	−0.302255	−	0.335688i	−0.875070	+	0.483997i	$0.839185\pi$
$60$	−1.19104	−	0.339732i	−0.153763	−	0.0438593i
$61$	−1.38660	−	1.24850i	−0.177536	−	0.159854i	0.575572	−	0.817751i	$-0.304779\pi$
$61$	−1.38660	−	1.24850i	−0.177536	−	0.159854i	−0.753108	+	0.657897i	$0.771446\pi$
$62$	−3.98322	+	2.02955i	−0.505869	+	0.257753i
$63$	7.10308	−	0.565270i	0.894904	−	0.0712174i
$64$	−0.951057	+	0.309017i	−0.118882	+	0.0386271i
$65$	−6.07498	−	6.27333i	−0.753508	−	0.778111i
$66$	1.90002	−	1.71078i	0.233876	−	0.210583i
$67$	−3.59610	+	9.36817i	−0.439334	+	1.14450i	0.517964	+	0.855402i	$0.326690\pi$
$67$	−3.59610	+	9.36817i	−0.439334	+	1.14450i	−0.957298	+	0.289102i	$0.906643\pi$
$68$	−7.78274	−	2.08538i	−0.943796	−	0.252889i
$69$	−2.63770	−	1.91640i	−0.317542	−	0.230708i
$70$	5.77293	−	1.29355i	0.689997	−	0.154609i
$71$	2.57776	−	1.87285i	0.305924	−	0.222266i	−0.424222	−	0.905558i	$-0.639452\pi$
$71$	2.57776	−	1.87285i	0.305924	−	0.222266i	0.730145	+	0.683292i	$0.239452\pi$
$72$	2.51432	−	0.965157i	0.296315	−	0.113745i
$73$	−6.54873	+	4.25280i	−0.766471	+	0.497752i	−0.867686	−	0.497112i	$-0.834394\pi$
$73$	−6.54873	+	4.25280i	−0.766471	+	0.497752i	0.101215	+	0.994865i	$0.467727\pi$
$74$	1.30794	+	0.755141i	0.152045	+	0.0877834i
$75$	2.75959	+	0.233697i	0.318651	+	0.0269850i
$76$		−	1.94209i		−	0.222773i
$77$	−4.06657	+	11.5156i	−0.463428	+	1.31232i
$78$	−2.13654	−	0.338394i	−0.241915	−	0.0383156i
$79$	−3.15705	+	7.09085i	−0.355196	+	0.797783i	0.644260	+	0.764806i	$0.277165\pi$
$79$	−3.15705	+	7.09085i	−0.355196	+	0.797783i	−0.999456	+	0.0329766i	$0.989501\pi$
$80$	1.95420	−	1.08679i	0.218486	−	0.121507i
$81$	−5.78542	+	2.57584i	−0.642825	+	0.286204i
$82$	−0.893417	+	3.33428i	−0.0986614	+	0.368209i
$83$	−14.5887	+	2.31063i	−1.60132	+	0.253624i	−0.892259	−	0.451523i	$-0.850881\pi$
$83$	−14.5887	+	2.31063i	−1.60132	+	0.253624i	−0.709061	+	0.705147i	$0.750881\pi$
$84$	0.950771	−	1.11518i	0.103738	−	0.121676i
$85$	17.9745	+	1.23177i	1.94961	+	0.133604i
$86$	6.19555	−	6.88085i	0.668083	−	0.741982i
$87$	0.122794	−	2.34304i	0.0131649	−	0.251201i
$88$	−0.241578	+	4.60958i	−0.0257523	+	0.491382i
$89$	−3.16730	+	3.51764i	−0.335733	+	0.372869i	−0.887246	−	0.461297i	$-0.847384\pi$
$89$	−3.16730	+	3.51764i	−0.335733	+	0.372869i	0.551513	+	0.834166i	$0.314051\pi$
$90$	−5.10265	+	3.19837i	−0.537867	+	0.337138i
$91$	9.73699	−	3.45763i	1.02071	−	0.362458i
$92$	5.81382	−	0.920818i	0.606132	−	0.0960019i
$93$	0.640879	−	2.39179i	0.0664561	−	0.248017i
$94$	−0.749896	+	0.333875i	−0.0773459	+	0.0344366i
$95$	0.834546	+	4.26170i	0.0856226	+	0.437241i
$96$	0.225289	−	0.506008i	0.0229935	−	0.0516442i
$97$	−5.61182	−	0.888824i	−0.569794	−	0.0902464i	−0.135112	−	0.990830i	$-0.543139\pi$
$97$	−5.61182	−	0.888824i	−0.569794	−	0.0902464i	−0.434682	+	0.900584i	$0.643139\pi$
$98$	−1.44341	+	6.84957i	−0.145807	+	0.691911i
$99$		−	12.4316i		−	1.24942i
$100$	−3.82126	+	3.22458i	−0.382126	+	0.322458i
$101$	1.38059	+	0.797085i	0.137374	+	0.0793129i	0.567112	−	0.823641i	$-0.308061\pi$
$101$	1.38059	+	0.797085i	0.137374	+	0.0793129i	−0.429738	+	0.902954i	$0.641394\pi$
$102$	3.74289	−	2.43066i	0.370601	−	0.240671i
$103$	5.25266	−	2.01631i	0.517560	−	0.198673i	−0.0855454	−	0.996334i	$-0.527263\pi$
$103$	5.25266	−	2.01631i	0.517560	−	0.198673i	0.603105	+	0.797662i	$0.293930\pi$
$104$	3.15952	−	2.29553i	0.309817	−	0.225095i
$105$	−1.60715	+	2.85570i	−0.156842	+	0.278688i
$106$	9.15447	+	6.65111i	0.889161	+	0.646013i
$107$	14.8177	+	3.97039i	1.43248	+	0.383832i	0.889894	−	0.456167i	$-0.150778\pi$
$107$	14.8177	+	3.97039i	1.43248	+	0.383832i	0.542588	+	0.839999i	$0.317445\pi$
$108$	−1.13009	+	2.94398i	−0.108743	+	0.283285i
$109$	6.57513	−	5.92027i	0.629783	−	0.567059i	−0.291200	−	0.956662i	$-0.594055\pi$
$109$	6.57513	−	5.92027i	0.629783	−	0.567059i	0.920983	+	0.389603i	$0.127388\pi$
$110$	−1.45069	−	10.2190i	−0.138318	−	0.974345i
$111$	−0.795594	+	0.258504i	−0.0755145	+	0.0245361i
$112$	0.209888	+	2.63741i	0.0198325	+	0.249212i
$113$	5.81129	−	2.96100i	0.546680	−	0.278547i	−0.158760	−	0.987317i	$-0.550750\pi$
$113$	5.81129	−	2.96100i	0.546680	−	0.278547i	0.705440	+	0.708770i	$0.250750\pi$
$114$	0.799409	+	0.719792i	0.0748716	+	0.0674147i
$115$	−12.3621	+	4.51892i	−1.15277	+	0.421392i
$116$	2.83439	+	3.14791i	0.263167	+	0.292276i
$117$	−8.17401	+	6.61918i	−0.755687	+	0.611943i
$118$	−2.45343	+	2.45343i	−0.225856	+	0.225856i
$119$	−10.1555	+	18.7431i	−0.930952	+	1.71818i
$120$	−0.276933	+	1.20719i	−0.0252804	+	0.110201i
$121$	9.41550	+	4.19205i	0.855955	+	0.381096i
$122$	−1.17422	+	1.45004i	−0.106309	+	0.131280i
$123$	−1.04134	−	1.60353i	−0.0938947	−	0.144585i
$124$	2.23523	+	3.87154i	0.200730	+	0.347674i
$125$	6.99968	−	8.71805i	0.626071	−	0.779766i
$126$	−0.936242	−	7.06376i	−0.0834071	−	0.629290i
$127$	−5.42321	−	2.76326i	−0.481232	−	0.245200i	0.196507	−	0.980502i	$-0.437040\pi$
$127$	−5.42321	−	2.76326i	−0.481232	−	0.245200i	−0.677739	+	0.735303i	$0.737040\pi$
$128$	0.358368	+	0.933580i	0.0316756	+	0.0825176i
$129$	0.536081	+	5.10047i	0.0471993	+	0.449071i
$130$	−5.94680	+	6.39497i	−0.521568	+	0.560876i
$131$	−8.31903	−	0.874366i	−0.726837	−	0.0763937i	−0.266119	−	0.963940i	$-0.585741\pi$
$131$	−8.31903	−	0.874366i	−0.726837	−	0.0763937i	−0.460718	+	0.887546i	$0.652408\pi$
$132$	−1.80788	−	1.80788i	−0.157355	−	0.157355i
$133$	−4.99736	−	1.19514i	−0.433326	−	0.103632i
$134$	9.54354	+	3.10088i	0.824436	+	0.267876i
$135$	1.21478	−	6.94586i	0.104552	−	0.597805i
$136$	−1.67520	+	7.88121i	−0.143648	+	0.675808i
$137$	−9.17368	−	0.480772i	−0.783760	−	0.0410751i	−0.343742	−	0.939064i	$-0.611695\pi$
$137$	−9.17368	−	0.480772i	−0.783760	−	0.0410751i	−0.440018	+	0.897989i	$0.645028\pi$
$138$	−1.77573	+	2.73439i	−0.151160	+	0.232766i
$139$	−4.84483	−	14.9109i	−0.410933	−	1.26472i	−0.915838	−	0.401548i	$-0.868472\pi$
$139$	−4.84483	−	14.9109i	−0.410933	−	1.26472i	0.504905	−	0.863175i	$-0.331528\pi$
$140$	−1.59391	−	5.69732i	−0.134710	−	0.481511i
$141$	0.140501	−	0.432419i	0.0118323	−	0.0364162i
$142$	−2.00519	−	2.47621i	−0.168272	−	0.207799i
$143$	−4.66570	−	17.4126i	−0.390165	−	1.45612i
$144$	−1.09542	−	2.46036i	−0.0912853	−	0.205030i
$145$	−7.57246	−	5.68976i	−0.628859	−	0.472509i
$146$	4.58970	+	6.31718i	0.379847	+	0.522814i
$147$	−2.28448	−	3.13278i	−0.188420	−	0.258388i
$148$	0.685654	−	1.34567i	0.0563604	−	0.110614i
$149$	2.69667	−	1.55692i	0.220919	−	0.127548i	−0.385456	−	0.922726i	$-0.625956\pi$
$149$	2.69667	−	1.55692i	0.220919	−	0.127548i	0.606376	+	0.795178i	$0.292623\pi$
$150$	0.0889503	−	2.76804i	0.00726276	−	0.226010i
$151$	5.50210	−	9.52991i	0.447754	−	0.775533i	−0.550485	−	0.834845i	$-0.685557\pi$
$151$	5.50210	−	9.52991i	0.447754	−	0.775533i	0.998240	+	0.0593116i	$0.0188906\pi$
$152$	−1.93943	+	0.101641i	−0.157308	+	0.00824417i
$153$	3.39461	−	21.4327i	0.274438	−	1.73273i
$154$	11.7126	+	3.45831i	0.943831	+	0.278679i
$155$	−6.56863	−	7.53515i	−0.527605	−	0.605238i
$156$	−0.226113	+	2.15132i	−0.0181035	+	0.172243i
$157$	−14.7153	+	3.94296i	−1.17441	+	0.314682i	−0.792707	−	0.609603i	$-0.791329\pi$
$157$	−14.7153	+	3.94296i	−1.17441	+	0.314682i	−0.381703	+	0.924285i	$0.624662\pi$
$158$	7.24636	+	2.78162i	0.576489	+	0.221294i
$159$	−6.13066	+	1.30311i	−0.486193	+	0.103343i
$160$	−1.18757	−	1.89464i	−0.0938859	−	0.149785i
$161$	1.20833	−	15.5267i	0.0952296	−	1.22368i
$162$	2.87509	+	5.64269i	0.225889	+	0.443331i
$163$	16.9616	+	11.0150i	1.32853	+	0.862760i	0.996747	−	0.0805938i	$-0.0256817\pi$
$163$	16.9616	+	11.0150i	1.32853	+	0.862760i	0.331787	+	0.943354i	$0.392348\pi$
$164$	3.37647	+	0.717690i	0.263658	+	0.0560422i
$165$	4.74406	+	3.19031i	0.369324	+	0.248365i
$166$	3.07097	+	14.4478i	0.238354	+	1.12137i
$167$	−0.977103	−	6.16919i	−0.0756105	−	0.477386i	−0.996217	−	0.0868955i	$-0.972305\pi$
$167$	−0.977103	−	6.16919i	−0.0756105	−	0.477386i	0.920607	−	0.390491i	$-0.127695\pi$
$168$	−1.16341	−	0.891104i	−0.0897592	−	0.0687501i
$169$	−1.32370	+	1.82192i	−0.101823	+	0.140148i
$170$	0.289368	−	18.0143i	0.0221935	−	1.38163i
$171$	5.20178	−	0.546729i	0.397790	−	0.0418094i
$172$	−7.19567	−	5.82694i	−0.548665	−	0.444300i
$173$	−0.977561	−	18.6530i	−0.0743226	−	1.41816i	−0.740345	−	0.672227i	$-0.765338\pi$
$173$	−0.977561	−	18.6530i	−0.0743226	−	1.41816i	0.666022	−	0.745932i	$-0.267996\pi$
$174$	−2.34626			−0.177869
$175$	5.94589	+	11.8172i	0.449467	+	0.893297i
$176$	4.61590			0.347937
$177$	−0.100581	−	1.91920i	−0.00756013	−	0.144256i
$178$	3.67858	+	2.97886i	0.275721	+	0.223275i
$179$	−6.43913	+	0.676779i	−0.481283	+	0.0505849i	−0.342064	−	0.939677i	$-0.611126\pi$
$179$	−6.43913	+	0.676779i	−0.481283	+	0.0505849i	−0.139219	+	0.990262i	$0.544459\pi$
$180$	3.46104	+	4.92827i	0.257971	+	0.367332i
$181$	10.1739	−	14.0032i	0.756219	−	1.04085i	−0.241300	−	0.970451i	$-0.577574\pi$
$181$	10.1739	−	14.0032i	0.756219	−	1.04085i	0.997519	−	0.0703961i	$-0.0224263\pi$
$182$	−3.96248	−	9.54268i	−0.293719	−	0.707351i
$183$	−0.161673	−	1.02076i	−0.0119512	−	0.0754569i
$184$	−1.22383	−	5.75766i	−0.0902218	−	0.424460i
$185$	−0.926335	+	3.24756i	−0.0681055	+	0.238766i
$186$	−2.42206	−	0.514824i	−0.177594	−	0.0377487i
$187$	31.1915	+	20.2560i	2.28095	+	1.48127i
$188$	0.372664	+	0.731395i	0.0271793	+	0.0533424i
$189$	6.87997	+	4.71963i	0.500445	+	0.343303i
$190$	4.21218	−	1.05644i	0.305584	−	0.0766423i
$191$	−22.2427	+	4.72783i	−1.60943	+	0.342094i	−0.922909	−	0.385019i	$-0.874195\pi$
$191$	−22.2427	+	4.72783i	−1.60943	+	0.342094i	−0.686517	+	0.727113i	$0.740861\pi$
$192$	−0.517105	−	0.198498i	−0.0373188	−	0.0143254i
$193$	17.6417	−	4.72707i	1.26987	−	0.340262i	0.439891	−	0.898051i	$-0.355017\pi$
$193$	17.6417	−	4.72707i	1.26987	−	0.340262i	0.829983	+	0.557789i	$0.188350\pi$
$194$	−0.593907	+	5.65064i	−0.0426400	+	0.405693i
$195$	−0.428276	−	4.81800i	−0.0306695	−	0.345024i
$196$	6.91572	+	1.08296i	0.493980	+	0.0773541i
$197$	−1.69740	+	10.7170i	−0.120935	+	0.763554i	0.850452	+	0.526053i	$0.176328\pi$
$197$	−1.69740	+	10.7170i	−0.120935	+	0.763554i	−0.971387	+	0.237502i	$0.923672\pi$
$198$	−12.4145	+	0.650617i	−0.882261	+	0.0462373i
$199$	8.22934	−	14.2536i	0.583362	−	1.01041i	−0.411715	−	0.911313i	$-0.635070\pi$
$199$	8.22934	−	14.2536i	0.583362	−	1.01041i	0.995077	−	0.0991007i	$-0.0315966\pi$
$200$	3.42016	+	3.64726i	0.241841	+	0.257901i
$201$	−4.81350	+	2.77907i	−0.339518	+	0.196021i
$202$	0.723738	−	1.42042i	0.0509220	−	0.0999401i
$203$	9.84442	−	5.35623i	0.690943	−	0.375933i
$204$	−2.62322	−	3.61055i	−0.183662	−	0.252789i
$205$	−7.71768	−	0.123971i	−0.539026	−	0.00865850i
$206$	−2.28845	−	5.13993i	−0.159444	−	0.358116i
$207$	4.10305	+	15.3128i	0.285181	+	1.06431i
$208$	−2.45774	−	3.03505i	−0.170413	−	0.210443i
$209$	−2.77018	+	8.52573i	−0.191617	+	0.589737i
$210$	2.93590	+	1.45549i	0.202596	+	0.100438i
$211$	2.33162	+	7.17600i	0.160516	+	0.494016i	0.998678	−	0.0514047i	$-0.0163698\pi$
$211$	2.33162	+	7.17600i	0.160516	+	0.494016i	−0.838162	+	0.545421i	$0.816370\pi$
$212$	6.16289	−	9.49002i	0.423269	−	0.651777i
$213$	1.76245	+	0.0923659i	0.120761	+	0.00632881i
$214$	3.18945	−	15.0052i	0.218027	−	1.02573i
$215$	18.2940	+	9.69448i	1.24764	+	0.661158i
$216$	2.99909	+	0.974464i	0.204062	+	0.0663039i
$217$	11.3377	−	3.36917i	0.769656	−	0.228714i
$218$	−6.25627	−	6.25627i	−0.423728	−	0.423728i
$219$	−4.30137	−	0.452093i	−0.290660	−	0.0305496i
$220$	−10.1291	+	1.98353i	−0.682903	+	0.133729i
$221$	−3.28917	−	31.2944i	−0.221254	−	2.10509i
$222$	0.299788	+	0.780975i	0.0201205	+	0.0524156i
$223$	17.4015	+	8.86652i	1.16529	+	0.593746i	0.926119	−	0.377231i	$-0.123124\pi$
$223$	17.4015	+	8.86652i	1.16529	+	0.593746i	0.239173	+	0.970977i	$0.423124\pi$
$224$	2.62281	−	0.347632i	0.175244	−	0.0232271i
$225$	−9.71263	−	9.32728i	−0.647509	−	0.621819i
$226$	−3.26108	−	5.64836i	−0.216924	−	0.375723i
$227$	−9.57007	−	14.7366i	−0.635188	−	0.978103i	−0.998914	−	0.0465973i	$-0.985162\pi$
$227$	−9.57007	−	14.7366i	−0.635188	−	0.978103i	0.363726	−	0.931506i	$-0.381504\pi$
$228$	0.676967	−	0.835985i	0.0448332	−	0.0553645i
$229$	−10.3725	−	4.61816i	−0.685437	−	0.305176i	0.0343112	−	0.999411i	$-0.489076\pi$
$229$	−10.3725	−	4.61816i	−0.685437	−	0.305176i	−0.719749	+	0.694235i	$0.755743\pi$
$230$	5.15971	+	12.1086i	0.340221	+	0.798420i
$231$	−5.76455	+	3.53945i	−0.379280	+	0.232879i
$232$	2.99526	−	2.99526i	0.196648	−	0.196648i
$233$	−20.2270	+	16.3795i	−1.32511	+	1.07306i	−0.333648	+	0.942698i	$0.608280\pi$
$233$	−20.2270	+	16.3795i	−1.32511	+	1.07306i	−0.991467	+	0.130359i	$0.958387\pi$
$234$	7.03790	+	7.81638i	0.460082	+	0.510973i
$235$	−1.13206	−	1.44483i	−0.0738476	−	0.0942500i
$236$	2.57847	+	2.32166i	0.167844	+	0.151127i
$237$	−3.83068	+	1.95183i	−0.248829	+	0.126785i
$238$	19.2489	+	9.16063i	1.24772	+	0.593796i
$239$	12.2019	−	3.96465i	0.789278	−	0.256452i	0.113481	−	0.993540i	$-0.463800\pi$
$239$	12.2019	−	3.96465i	0.789278	−	0.256452i	0.675797	+	0.737088i	$0.263800\pi$
$240$	1.22003	+	0.213374i	0.0787524	+	0.0137732i
$241$	10.5243	−	9.47615i	0.677932	−	0.610412i	−0.256505	−	0.966543i	$-0.582571\pi$
$241$	10.5243	−	9.47615i	0.677932	−	0.610412i	0.934436	+	0.356131i	$0.115904\pi$
$242$	3.69354	−	9.62200i	0.237430	−	0.618525i
$243$	−12.5262	−	3.35638i	−0.803556	−	0.215312i
$244$	1.50951	+	1.09672i	0.0966363	+	0.0702104i
$245$	−15.6411	+	0.595365i	−0.999276	+	0.0380365i
$246$	−1.54683	+	1.12384i	−0.0986223	+	0.0716533i
$247$	7.08083	−	2.71808i	0.450542	−	0.172947i
$248$	3.74925	−	2.43479i	0.238078	−	0.154609i
$249$	−7.08525	−	4.09067i	−0.449009	−	0.259236i
$250$	−9.07244	−	6.53382i	−0.573791	−	0.413235i
$251$			18.5701i			1.17213i	0.810263	+	0.586067i	$0.199325\pi$
$251$			18.5701i			1.17213i	−0.810263	+	0.586067i	$0.800675\pi$
$252$	−7.00508	+	1.30465i	−0.441279	+	0.0821851i
$253$	−26.8360	−	4.25041i	−1.68717	−	0.267221i
$254$	−2.47565	+	5.56039i	−0.155336	+	0.348890i
$255$	7.30787	+	6.79571i	0.457637	+	0.425564i
$256$	0.913545	−	0.406737i	0.0570966	−	0.0254210i
$257$	−0.0437884	+	0.163421i	−0.00273145	+	0.0101939i	−0.967278	−	0.253718i	$-0.918346\pi$
$257$	−0.0437884	+	0.163421i	−0.00273145	+	0.0101939i	0.964547	+	0.263912i	$0.0850130\pi$
$258$	5.06542	−	0.802284i	0.315360	−	0.0499480i
$259$	−3.04072	−	2.59243i	−0.188941	−	0.161086i
$260$	6.69744	+	5.60396i	0.415358	+	0.347543i
$261$	−7.63358	+	8.47795i	−0.472507	+	0.524772i
$262$	−0.437783	+	8.35339i	−0.0270463	+	0.516074i
$263$	−0.680480	+	12.9843i	−0.0419602	+	0.800648i	0.893898	+	0.448271i	$0.147960\pi$
$263$	−0.680480	+	12.9843i	−0.0419602	+	0.800648i	−0.935858	+	0.352377i	$0.885373\pi$
$264$	−1.71078	+	1.90002i	−0.105291	+	0.116938i
$265$	−9.44577	+	23.4731i	−0.580249	+	1.44194i
$266$	−0.931962	+	5.05306i	−0.0571423	+	0.309823i
$267$	−2.58955	+	0.410145i	−0.158478	+	0.0251005i
$268$	2.59716	−	9.69275i	0.158647	−	0.592079i
$269$	−19.6265	+	8.73828i	−1.19665	+	0.532782i	−0.905685	−	0.423952i	$-0.860643\pi$
$269$	−19.6265	+	8.73828i	−1.19665	+	0.532782i	−0.290964	+	0.956734i	$0.593976\pi$
$270$	−6.99992	−	0.849597i	−0.426001	−	0.0517048i
$271$	−2.07866	+	4.66875i	−0.126270	+	0.283606i	−0.965608	−	0.260004i	$-0.916276\pi$
$271$	−2.07866	+	4.66875i	−0.126270	+	0.283606i	0.839338	+	0.543610i	$0.182943\pi$
$272$	7.95809	+	1.26044i	0.482530	+	0.0764252i
$273$	5.39660	+	1.90573i	0.326617	+	0.115340i
$274$			9.18627i			0.554963i
$275$	21.3748	−	8.70526i	1.28895	−	0.524947i
$276$	2.82357	+	1.63019i	0.169959	+	0.0981259i
$277$	−1.37073	+	0.890164i	−0.0823593	+	0.0534848i	−0.585162	−	0.810917i	$-0.698969\pi$
$277$	−1.37073	+	0.890164i	−0.0823593	+	0.0534848i	0.502802	+	0.864401i	$0.332302\pi$
$278$	−14.6369	+	5.61857i	−0.877861	+	0.336979i
$279$	−9.74046	+	7.07686i	−0.583146	+	0.423680i
$280$	−5.60609	+	1.88990i	−0.335028	+	0.112943i
$281$	26.6123	+	19.3350i	1.58756	+	1.15343i	0.907326	+	0.420429i	$0.138120\pi$
$281$	26.6123	+	19.3350i	1.58756	+	1.15343i	0.680230	+	0.732998i	$0.261880\pi$
$282$	−0.439179	−	0.117678i	−0.0261527	−	0.00700761i
$283$	−4.51844	+	11.7710i	−0.268594	+	0.699710i	0.731251	+	0.682108i	$0.238937\pi$
$283$	−4.51844	+	11.7710i	−0.268594	+	0.699710i	−0.999845	+	0.0176023i	$0.994397\pi$
$284$	−2.36787	+	2.13204i	−0.140507	+	0.126513i
$285$	−1.12629	+	2.12538i	−0.0667159	+	0.125897i
$286$	−17.1446	+	5.57061i	−1.01378	+	0.329397i
$287$	3.92460	−	8.24662i	0.231662	−	0.486783i
$288$	−2.39966	+	1.22269i	−0.141401	+	0.0720476i
$289$	35.6114	+	32.0646i	2.09479	+	1.88615i
$290$	−5.28565	+	7.85986i	−0.310384	+	0.461547i
$291$	−2.10582	−	2.33875i	−0.123445	−	0.137100i
$292$	6.06832	−	4.91403i	0.355122	−	0.287572i
$293$	20.0799	−	20.0799i	1.17308	−	1.17308i	0.191612	−	0.981471i	$-0.438629\pi$
$293$	20.0799	−	20.0799i	1.17308	−	1.17308i	0.981471	−	0.191612i	$-0.0613715\pi$
$294$	−3.00893	+	2.44530i	−0.175484	+	0.142613i
$295$	−6.65582	−	3.98663i	−0.387517	−	0.232110i
$296$	−1.37971	−	0.614287i	−0.0801941	−	0.0357047i
$297$	9.16035	−	11.3121i	0.531537	−	0.656394i
$298$	−1.69592	−	2.61149i	−0.0982420	−	0.151279i
$299$	11.4941	+	19.9084i	0.664721	+	1.15133i
$300$	−2.76891	+	0.0560398i	−0.159863	+	0.00323546i
$301$	−19.4220	+	14.9300i	−1.11946	+	0.860550i
$302$	−9.80481	−	4.99580i	−0.564203	−	0.287476i
$303$	0.316439	+	0.824353i	0.0181790	+	0.0473578i
$304$	0.203003	+	1.93145i	0.0116430	+	0.110776i
$305$	−3.78372	−	1.75797i	−0.216655	−	0.100661i
$306$	−21.5810	−	2.26826i	−1.23370	−	0.129668i
$307$	−14.9762	−	14.9762i	−0.854737	−	0.854737i	0.135975	−	0.990712i	$-0.456583\pi$
$307$	−14.9762	−	14.9762i	−0.854737	−	0.854737i	−0.990712	+	0.135975i	$0.956583\pi$
$308$	2.84058	−	11.8776i	0.161857	−	0.676788i
$309$	2.96388	+	0.963023i	0.168609	+	0.0547845i
$310$	−7.18105	+	6.95399i	−0.407856	+	0.394960i
$311$	−3.23533	+	15.2210i	−0.183459	+	0.863105i	0.786072	+	0.618135i	$0.212112\pi$
$311$	−3.23533	+	15.2210i	−0.183459	+	0.863105i	−0.969531	+	0.244970i	$0.921222\pi$
$312$	2.16021	+	0.113212i	0.122298	+	0.00640934i
$313$	15.5487	−	23.9430i	0.878867	−	1.35334i	−0.0560350	−	0.998429i	$-0.517846\pi$
$313$	15.5487	−	23.9430i	0.878867	−	1.35334i	0.934902	−	0.354907i	$-0.115487\pi$
$314$	4.70769	+	14.4888i	0.265670	+	0.817649i
$315$	14.8113	−	5.87310i	0.834520	−	0.330912i
$316$	2.39856	−	7.38201i	0.134930	−	0.415270i
$317$	−6.26042	−	7.73098i	−0.351620	−	0.434215i	0.570394	−	0.821372i	$-0.306791\pi$
$317$	−6.26042	−	7.73098i	−0.351620	−	0.434215i	−0.922014	+	0.387156i	$0.873457\pi$
$318$	1.62218	+	6.05405i	0.0909673	+	0.339495i
$319$	−7.95278	−	17.8622i	−0.445270	−	1.00009i
$320$	−1.82989	+	1.28510i	−0.102294	+	0.0718395i
$321$	4.99440	+	6.87420i	0.278760	+	0.383680i
$322$	−15.5687	−	0.394067i	−0.867608	−	0.0219605i
$323$	−7.10402	+	13.9424i	−0.395278	+	0.775777i
$324$	5.48448	−	3.16647i	0.304693	−	0.175915i
$325$	−17.1049	−	9.41927i	−0.948809	−	0.522487i
$326$	10.1122	−	17.5148i	0.560062	−	0.970057i
$327$	4.89398	−	0.256483i	0.270638	−	0.0141835i
$328$	0.539996	−	3.40940i	0.0298163	−	0.188253i
$329$	2.11135	−	0.508842i	0.116402	−	0.0280534i
$330$	2.93765	−	4.90452i	0.161713	−	0.269985i
$331$	0.173354	−	1.64935i	0.00952838	−	0.0906564i	−0.988724	−	0.149748i	$-0.952154\pi$
$331$	0.173354	−	1.64935i	0.00952838	−	0.0906564i	0.998253	+	0.0590916i	$0.0188204\pi$
$332$	14.2673	−	3.82291i	0.783019	−	0.209809i
$333$	3.79733	+	1.45766i	0.208093	+	0.0798793i
$334$	−6.10960	+	1.29863i	−0.334302	+	0.0710581i
$335$	−1.53406	+	22.3857i	−0.0838148	+	1.22306i
$336$	−0.828994	+	1.20845i	−0.0452253	+	0.0659266i
$337$	−2.72606	−	5.35020i	−0.148498	−	0.291444i	0.804760	−	0.593600i	$-0.202294\pi$
$337$	−2.72606	−	5.35020i	−0.148498	−	0.291444i	−0.953259	+	0.302156i	$0.902294\pi$
$338$	1.88870	+	1.22653i	0.102732	+	0.0667147i
$339$	3.53365	+	0.751100i	0.191921	+	0.0407941i
$340$	−18.0048	+	0.653825i	−0.976446	+	0.0354586i
$341$	−4.29031	−	20.1843i	−0.232333	−	1.09304i
$342$	−0.818220	−	5.16604i	−0.0442443	−	0.279347i
$343$	7.04252	−	17.1290i	0.380260	−	0.924880i
$344$	−5.44236	+	7.49077i	−0.293433	+	0.403875i
$345$	−6.89654	−	2.36394i	−0.371297	−	0.127270i
$346$	−18.5762	+	1.95244i	−0.998665	+	0.104964i
$347$	−15.4419	−	12.5046i	−0.828962	−	0.671280i	0.117863	−	0.993030i	$-0.462396\pi$
$347$	−15.4419	−	12.5046i	−0.828962	−	0.671280i	−0.946825	+	0.321750i	$0.895729\pi$
$348$	0.122794	+	2.34304i	0.00658243	+	0.125600i
$349$	32.9215			1.76225			0.881123	−	0.472887i	$-0.156788\pi$
$349$	32.9215			1.76225			0.881123	+	0.472887i	$0.156788\pi$
$350$	11.4898	−	6.55621i	0.614157	−	0.350444i
$351$	−12.3154			−0.657345
$352$	−0.241578	−	4.60958i	−0.0128761	−	0.245691i
$353$	13.4742	+	10.9112i	0.717157	+	0.580743i	0.916905	−	0.399105i	$-0.130679\pi$
$353$	13.4742	+	10.9112i	0.717157	+	0.580743i	−0.199748	+	0.979847i	$0.564012\pi$
$354$	−1.91130	+	0.200886i	−0.101585	+	0.0106770i
$355$	4.27986	−	5.69604i	0.227151	−	0.302314i
$356$	2.78225	−	3.82944i	0.147459	−	0.202960i
$357$	−10.9049	+	4.52814i	−0.577150	+	0.239654i
$358$	1.01285	+	6.39488i	0.0535308	+	0.337980i
$359$	1.68001	+	7.90385i	0.0886678	+	0.417149i	0.999985	+	0.00544457i	$0.00173307\pi$
$359$	1.68001	+	7.90385i	0.0886678	+	0.417149i	−0.911317	+	0.411704i	$0.864934\pi$
$360$	4.74038	−	3.71422i	0.249840	−	0.195757i
$361$	14.8955	+	3.16614i	0.783975	+	0.166639i
$362$	−14.5164	−	9.42708i	−0.762967	−	0.495476i
$363$	2.59171	+	5.08653i	0.136030	+	0.266973i
$364$	−9.32223	+	4.45648i	−0.488617	+	0.233583i
$365$	−11.2046	+	13.3909i	−0.586477	+	0.700914i
$366$	−1.01090	+	0.214874i	−0.0528407	+	0.0112316i
$367$	4.22168	+	1.62055i	0.220370	+	0.0845920i	0.466048	−	0.884759i	$-0.345677\pi$
$367$	4.22168	+	1.62055i	0.220370	+	0.0845920i	−0.245678	+	0.969351i	$0.579011\pi$
$368$	−5.68572	+	1.52348i	−0.296388	+	0.0794170i
$369$	−0.971765	+	9.24573i	−0.0505881	+	0.481313i
$370$	3.29159	+	0.755102i	0.171122	+	0.0392559i
$371$	−20.6270	−	21.6983i	−1.07090	−	1.12652i
$372$	−0.387358	+	2.44568i	−0.0200836	+	0.126803i
$373$	−9.94274	+	0.521077i	−0.514816	+	0.0269803i	−0.307975	−	0.951394i	$-0.599651\pi$
$373$	−9.94274	+	0.521077i	−0.514816	+	0.0269803i	−0.206840	+	0.978375i	$0.566318\pi$
$374$	18.5958	−	32.2089i	0.961567	−	1.66548i
$375$	6.05197	−	1.31282i	0.312523	−	0.0677935i
$376$	0.710889	−	0.410432i	0.0366613	−	0.0211664i
$377$	−7.51033	+	14.7399i	−0.386802	+	0.759141i
$378$	4.35309	−	7.11755i	0.223899	−	0.366087i
$379$	−5.95374	−	8.19462i	−0.305823	−	0.420930i	0.628250	−	0.778012i	$-0.283772\pi$
$379$	−5.95374	−	8.19462i	−0.305823	−	0.420930i	−0.934073	+	0.357082i	$0.883772\pi$
$380$	−1.27544	−	4.15112i	−0.0654288	−	0.212948i
$381$	−1.37125	−	3.07987i	−0.0702511	−	0.157787i
$382$	5.88545	+	21.9648i	0.301126	+	1.12382i
$383$	8.10373	+	10.0073i	0.414081	+	0.511348i	0.940925	−	0.338614i	$-0.109958\pi$
$383$	8.10373	+	10.0073i	0.414081	+	0.511348i	−0.526844	+	0.849962i	$0.676625\pi$
$384$	−0.171163	+	0.526785i	−0.00873461	+	0.0268824i
$385$	−1.12936	+	27.2847i	−0.0575573	+	1.39056i
$386$	−5.64388	−	17.3701i	−0.287266	−	0.884114i
$387$	13.5815	−	20.9136i	0.690384	−	1.06310i
$388$	5.67398	+	0.297361i	0.288053	+	0.0150962i
$389$	−4.39387	+	20.6715i	−0.222778	+	1.04809i	0.714535	+	0.699600i	$0.246638\pi$
$389$	−4.39387	+	20.6715i	−0.222778	+	1.04809i	−0.937313	+	0.348489i	$0.886695\pi$
$390$	−4.78898	+	0.679844i	−0.242499	+	0.0344252i
$391$	−45.1062	−	14.6559i	−2.28112	−	0.741181i
$392$	0.719532	−	6.96292i	0.0363419	−	0.351681i
$393$	−3.27620	−	3.27620i	−0.165262	−	0.165262i
$394$	10.7911	+	1.13419i	0.543650	+	0.0571399i
$395$	−2.09121	+	17.2297i	−0.105220	+	0.866920i
$396$	1.29945	+	12.3635i	0.0652999	+	0.621287i
$397$	6.79979	+	17.7140i	0.341271	+	0.889043i	0.991594	+	0.129385i	$0.0413002\pi$
$397$	6.79979	+	17.7140i	0.341271	+	0.889043i	−0.650323	+	0.759658i	$0.725366\pi$
$398$	−14.6648	−	7.47208i	−0.735080	−	0.374542i
$399$	−1.73455	−	2.25642i	−0.0868360	−	0.112962i
$400$	3.46327	−	3.60635i	0.173163	−	0.180318i
$401$	4.83485	+	8.37421i	0.241441	+	0.418188i	0.961125	−	0.276114i	$-0.0890467\pi$
$401$	4.83485	+	8.37421i	0.241441	+	0.418188i	−0.719684	+	0.694302i	$0.755713\pi$
$402$	3.02718	+	4.66146i	0.150982	+	0.232492i
$403$	−10.9872	+	13.5681i	−0.547313	+	0.675875i
$404$	−1.45635	−	0.648407i	−0.0724559	−	0.0322595i
$405$	−10.6744	+	9.30523i	−0.530416	+	0.462381i
$406$	−5.86410	−	9.55060i	−0.291031	−	0.473989i
$407$	−4.92947	+	4.92947i	−0.244345	+	0.244345i
$408$	−3.46831	+	2.80858i	−0.171707	+	0.139046i
$409$	−4.35670	−	4.83860i	−0.215425	−	0.239253i	0.625741	−	0.780031i	$-0.284797\pi$
$409$	−4.35670	−	4.83860i	−0.215425	−	0.239253i	−0.841166	+	0.540778i	$0.818130\pi$
$410$	0.280112	+	7.71360i	0.0138337	+	0.380947i
$411$	−3.78129	−	3.40469i	−0.186517	−	0.167941i
$412$	−5.01312	+	2.55431i	−0.246979	+	0.125842i
$413$	7.56084	−	5.20616i	0.372045	−	0.256178i
$414$	15.0771	−	4.89883i	0.740997	−	0.240764i
$415$	−29.6652	+	14.5198i	−1.45621	+	0.712750i
$416$	−2.90226	+	2.61321i	−0.142295	+	0.128123i
$417$	3.11209	−	8.10728i	0.152400	−	0.397015i
$418$	8.65903	+	2.32018i	0.423527	+	0.113484i
$419$	17.4030	+	12.6440i	0.850193	+	0.617701i	0.925199	−	0.379482i	$-0.123898\pi$
$419$	17.4030	+	12.6440i	0.850193	+	0.617701i	−0.0750065	+	0.997183i	$0.523898\pi$
$420$	1.29984	−	3.00805i	0.0634259	−	0.146778i
$421$	−24.7434	+	17.9772i	−1.20592	+	0.876153i	−0.994854	−	0.101319i	$-0.967694\pi$
$421$	−24.7434	+	17.9772i	−1.20592	+	0.876153i	−0.211067	+	0.977472i	$0.567694\pi$
$422$	7.04414	−	2.70399i	0.342903	−	0.131628i
$423$	−1.85409	+	1.20406i	−0.0901490	+	0.0585434i
$424$	−9.79955	−	5.65777i	−0.475908	−	0.274766i
$425$	39.2285	−	9.17168i	1.90286	−	0.444892i
$426$		−	1.76486i		−	0.0855080i
$427$	3.75100	−	3.20933i	0.181524	−	0.155311i
$428$	−15.1516	−	2.39977i	−0.732378	−	0.115997i
$429$	4.06126	−	9.12173i	0.196079	−	0.440401i
$430$	8.72376	−	18.7763i	0.420697	−	0.905475i
$431$	5.48854	−	2.44366i	0.264374	−	0.117707i	−0.270269	−	0.962785i	$-0.587113\pi$
$431$	5.48854	−	2.44366i	0.264374	−	0.117707i	0.534643	+	0.845078i	$0.320446\pi$
$432$	0.816168	−	3.04598i	0.0392679	−	0.146550i
$433$	26.6209	−	4.21633i	1.27932	−	0.202624i	0.520463	−	0.853884i	$-0.325759\pi$
$433$	26.6209	−	4.21633i	1.27932	−	0.202624i	0.758854	+	0.651260i	$0.225759\pi$
$434$	−3.95792	−	11.1459i	−0.189986	−	0.535019i
$435$	−1.27630	−	5.08878i	−0.0611939	−	0.243988i
$436$	−5.92027	+	6.57513i	−0.283529	+	0.314891i
$437$	0.598288	−	11.4160i	0.0286200	−	0.546102i
$438$	−0.226357	+	4.31914i	−0.0108157	+	0.206377i
$439$	−1.77707	+	1.97364i	−0.0848150	+	0.0941966i	−0.784058	−	0.620687i	$-0.786854\pi$
$439$	−1.77707	+	1.97364i	−0.0848150	+	0.0941966i	0.699243	+	0.714884i	$0.253520\pi$
$440$	2.51092	+	10.0114i	0.119704	+	0.477275i
$441$	−0.953756	+	18.8283i	−0.0454170	+	0.896584i
$442$	−31.0794	+	4.92249i	−1.47829	+	0.234139i
$443$	0.601734	−	2.24570i	0.0285892	−	0.106697i	−0.950157	−	0.311772i	$-0.899077\pi$
$443$	0.601734	−	2.24570i	0.0285892	−	0.106697i	0.978746	+	0.205076i	$0.0657441\pi$
$444$	0.764215	−	0.340250i	0.0362680	−	0.0161476i
$445$	−4.45977	+	9.59886i	−0.211413	+	0.455030i
$446$	7.94364	−	17.8417i	0.376142	−	0.844830i
$447$	1.70351	+	0.269809i	0.0805730	+	0.0127615i
$448$	−0.484423	−	2.60103i	−0.0228868	−	0.122887i
$449$		−	30.5378i		−	1.44117i	−0.693368	−	0.720584i	$-0.743874\pi$
$449$		−	30.5378i		−	1.44117i	0.693368	−	0.720584i	$-0.256126\pi$
$450$	−8.80618	+	10.1875i	−0.415127	+	0.480242i
$451$	−13.7989	−	7.96681i	−0.649766	−	0.375143i
$452$	−5.46995	+	3.55222i	−0.257285	+	0.167083i
$453$	5.69033	−	2.18431i	0.267355	−	0.102628i
$454$	−14.2156	+	10.3282i	−0.667169	+	0.484727i
$455$	18.5416	−	13.7852i	0.869243	−	0.646258i
$456$	−0.870269	−	0.632287i	−0.0407541	−	0.0296096i
$457$	10.9186	+	2.92563i	0.510751	+	0.136855i	0.504985	−	0.863128i	$-0.331498\pi$
$457$	10.9186	+	2.92563i	0.510751	+	0.136855i	0.00576588	+	0.999983i	$0.498165\pi$
$458$	−4.06897	+	10.6000i	−0.190130	+	0.495307i
$459$	18.8819	−	17.0013i	0.881332	−	0.793555i
$460$	11.8220	−	5.78636i	0.551204	−	0.269790i
$461$	21.3812	−	6.94716i	0.995820	−	0.323561i	0.234626	−	0.972086i	$-0.424614\pi$
$461$	21.3812	−	6.94716i	0.995820	−	0.323561i	0.761194	+	0.648524i	$0.224614\pi$
$462$	3.83630	+	5.57141i	0.178481	+	0.259206i
$463$	13.8361	−	7.04987i	0.643020	−	0.327635i	−0.101894	−	0.994795i	$-0.532490\pi$
$463$	13.8361	−	7.04987i	0.643020	−	0.327635i	0.744914	+	0.667160i	$0.232490\pi$
$464$	−3.14791	−	2.83439i	−0.146138	−	0.131583i
$465$	−0.200934	−	5.53323i	−0.00931808	−	0.256597i
$466$	17.4157	+	19.3420i	0.806764	+	0.896003i
$467$	18.4170	−	14.9138i	0.852239	−	0.690130i	−0.100164	−	0.994971i	$-0.531937\pi$
$467$	18.4170	−	14.9138i	0.852239	−	0.690130i	0.952403	+	0.304841i	$0.0986034\pi$
$468$	7.43734	−	7.43734i	0.343791	−	0.343791i
$469$	−23.3430	−	12.6478i	−1.07788	−	0.584022i
$470$	−1.38360	+	1.20613i	−0.0638206	+	0.0556345i
$471$	−7.70873	−	3.43215i	−0.355199	−	0.158145i
$472$	2.18354	−	2.69644i	0.100505	−	0.124114i
$473$	23.2774	+	35.8440i	1.07030	+	1.64811i
$474$	2.14964	+	3.72328i	0.0987361	+	0.171016i
$475$	4.58262	+	8.56109i	0.210265	+	0.392810i
$476$	8.14067	−	19.7020i	0.373127	−	0.903039i
$477$	27.1535	+	13.8354i	1.24327	+	0.633479i
$478$	−4.59782	−	11.9777i	−0.210299	−	0.547848i
$479$	3.91932	+	37.2898i	0.179078	+	1.70381i	0.602694	+	0.797972i	$0.294094\pi$
$479$	3.91932	+	37.2898i	0.179078	+	1.70381i	−0.423616	+	0.905842i	$0.639239\pi$
$480$	0.149230	−	1.22952i	0.00681139	−	0.0561198i
$481$	5.86592	+	0.616533i	0.267463	+	0.0281115i
$482$	−10.0140	−	10.0140i	−0.456123	−	0.456123i
$483$	5.93238	−	6.26238i	0.269933	−	0.284948i
$484$	−9.80211	−	3.18490i	−0.445551	−	0.144768i
$485$	−12.5787	+	1.78567i	−0.571170	+	0.0810833i
$486$	−2.69621	+	12.6847i	−0.122303	+	0.575389i
$487$	−15.4701	−	0.810754i	−0.701017	−	0.0367388i	−0.301502	−	0.953465i	$-0.597488\pi$
$487$	−15.4701	−	0.810754i	−0.701017	−	0.0367388i	−0.399515	+	0.916727i	$0.630821\pi$
$488$	1.01622	−	1.56484i	0.0460020	−	0.0708368i
$489$	3.46166	+	10.6539i	0.156542	+	0.481786i
$490$	1.41314	+	15.5886i	0.0638393	+	0.704219i
$491$	−0.711439	+	2.18959i	−0.0321068	+	0.0988146i	−0.965826	−	0.259192i	$-0.916544\pi$
$491$	−0.711439	+	2.18959i	−0.0321068	+	0.0988146i	0.933719	+	0.358007i	$0.116544\pi$
$492$	1.20325	+	1.48589i	0.0542468	+	0.0669893i
$493$	−8.83352	−	32.9671i	−0.397842	−	1.48477i
$494$	−3.08493	−	6.92887i	−0.138798	−	0.311745i
$495$	−8.16427	−	26.5718i	−0.366957	−	1.19431i
$496$	−2.62768	−	3.61668i	−0.117986	−	0.162394i
$497$	4.02897	+	7.40501i	0.180724	+	0.332160i
$498$	−3.71425	+	7.28963i	−0.166440	+	0.326656i
$499$	−8.99160	+	5.19130i	−0.402519	+	0.232395i	−0.687570	−	0.726118i	$-0.741323\pi$
$499$	−8.99160	+	5.19130i	−0.402519	+	0.232395i	0.285051	+	0.958512i	$0.407989\pi$
$500$	−6.05005	+	9.40196i	−0.270567	+	0.420468i
$501$	1.72984	−	2.99617i	0.0772834	−	0.133859i
$502$	18.5446	−	0.971884i	0.827688	−	0.0433773i
$503$	−5.31773	+	33.5749i	−0.237106	+	1.49703i	0.525850	+	0.850578i	$0.323748\pi$
$503$	−5.31773	+	33.5749i	−0.237106	+	1.49703i	−0.762956	+	0.646451i	$0.776252\pi$
$504$	1.66948	+	6.92720i	0.0743645	+	0.308562i
$505$	3.47442	+	0.797043i	0.154610	+	0.0354679i
$506$	−2.84009	+	27.0217i	−0.126258	+	1.20126i
$507$	−1.20487	+	0.322845i	−0.0535104	+	0.0143381i
$508$	5.68234	+	2.18125i	0.252113	+	0.0967771i
$509$	−8.63627	+	1.83570i	−0.382796	+	0.0813658i	−0.395291	−	0.918556i	$-0.629356\pi$
$509$	−8.63627	+	1.83570i	−0.382796	+	0.0813658i	0.0124945	+	0.999922i	$0.496023\pi$
$510$	6.40394	−	7.65352i	0.283571	−	0.338903i
$511$	−8.91033	−	18.6390i	−0.394170	−	0.824540i
$512$	−0.453990	−	0.891007i	−0.0200637	−	0.0393773i
$513$	5.13622	+	3.33550i	0.226770	+	0.147266i
$514$	0.165488	+	0.0351756i	0.00729938	+	0.00155153i
$515$	9.90311	−	7.75938i	0.436383	−	0.341919i
$516$	−1.06629	−	5.01649i	−0.0469407	−	0.220839i
$517$	−0.592734	−	3.74238i	−0.0260684	−	0.164590i
$518$	−2.42974	+	3.17223i	−0.106757	+	0.139380i
$519$	6.08120	−	8.37006i	0.266935	−	0.367405i
$520$	5.24576	−	6.98155i	0.230042	−	0.306161i
$521$	4.14524	−	0.435682i	0.181606	−	0.0190876i	−0.0132888	−	0.999912i	$-0.504230\pi$
$521$	4.14524	−	0.435682i	0.181606	−	0.0190876i	0.194895	+	0.980824i	$0.437563\pi$
$522$	8.86585	+	7.17942i	0.388048	+	0.314235i
$523$	−0.872506	−	16.6484i	−0.0381520	−	0.727984i	−0.949007	−	0.315256i	$-0.897910\pi$
$523$	−0.872506	−	16.6484i	−0.0381520	−	0.727984i	0.910855	−	0.412727i	$-0.135424\pi$
$524$	8.36486			0.365420
$525$	−1.55976	+	7.15940i	−0.0680733	+	0.312462i
$526$	13.0021			0.566920
$527$	−1.88513	−	35.9705i	−0.0821177	−	1.56690i
$528$	1.98695	+	1.60900i	0.0864708	+	0.0700226i
$529$	11.5845	−	1.21758i	0.503676	−	0.0529385i
$530$	23.9353	+	8.20434i	1.03968	+	0.356374i
$531$	−5.49258	+	7.55988i	−0.238357	+	0.328071i
$532$	5.09491	+	0.666229i	0.220892	+	0.0288847i
$533$	2.10889	+	13.3150i	0.0913462	+	0.576737i
$534$	0.545109	+	2.56454i	0.0235892	+	0.110978i
$535$	34.2796	−	1.24483i	1.48204	−	0.0538187i
$536$	−9.81539	−	2.08633i	−0.423960	−	0.0901155i
$537$	−3.00768	−	1.95321i	−0.129791	−	0.0842871i
$538$	9.75348	+	19.1423i	0.420502	+	0.825282i
$539$	−28.8152	−	14.6187i	−1.24116	−	0.629672i
$540$	−0.482085	+	7.03479i	−0.0207456	+	0.302729i
$541$	20.5152	−	4.36065i	0.882019	−	0.187479i	0.255429	−	0.966828i	$-0.417783\pi$
$541$	20.5152	−	4.36065i	0.882019	−	0.187479i	0.626590	+	0.779349i	$0.284450\pi$
$542$	4.77114	+	1.83147i	0.204938	+	0.0786683i
$543$	9.26060	−	2.48137i	0.397410	−	0.106486i
$544$	0.842216	−	8.01315i	0.0361097	−	0.343561i
$545$	10.1659	−	16.9724i	0.435461	−	0.727019i
$546$	1.62068	−	5.48894i	0.0693589	−	0.234905i
$547$	2.94718	−	18.6078i	0.126012	−	0.795611i	−0.841029	−	0.540991i	$-0.818049\pi$
$547$	2.94718	−	18.6078i	0.126012	−	0.795611i	0.967041	−	0.254620i	$-0.0819505\pi$
$548$	9.17368	−	0.480772i	0.391880	−	0.0205376i
$549$	−2.51256	+	4.35188i	−0.107233	+	0.185734i
$550$	−9.81200	−	20.8899i	−0.418385	−	0.890749i
$551$	7.12440	−	4.11327i	0.303510	−	0.175231i
$552$	1.48018	−	2.90502i	0.0630007	−	0.123646i
$553$	−17.5192	−	10.7148i	−0.744994	−	0.455638i
$554$	0.960682	+	1.32227i	0.0408155	+	0.0561777i
$555$	−1.53077	+	1.07504i	−0.0649777	+	0.0456328i
$556$	6.37690	+	14.3228i	0.270441	+	0.607420i
$557$	−11.7483	−	43.8453i	−0.497792	−	1.85779i	−0.513793	−	0.857914i	$-0.671760\pi$
$557$	−11.7483	−	43.8453i	−0.497792	−	1.85779i	0.0160004	−	0.999872i	$-0.494907\pi$
$558$	7.57694	+	9.35674i	0.320757	+	0.396102i
$559$	11.1742	−	34.3905i	0.472617	−	1.45456i
$560$	2.18071	+	5.49950i	0.0921520	+	0.232396i
$561$	6.36582	+	19.5920i	0.268765	+	0.827175i
$562$	17.9157	−	27.5877i	0.755727	−	1.16372i
$563$	−5.91694	−	0.310094i	−0.249369	−	0.0130689i	−0.0727583	−	0.997350i	$-0.523180\pi$
$563$	−5.91694	−	0.310094i	−0.249369	−	0.0130689i	−0.176611	+	0.984281i	$0.556513\pi$
$564$	−0.0945316	+	0.444736i	−0.00398050	+	0.0187268i
$565$	10.4767	−	10.1455i	0.440760	−	0.426824i
$566$	11.9913	+	3.89621i	0.504032	+	0.163770i
$567$	−4.77282	−	16.0612i	−0.200440	−	0.674508i
$568$	2.25304	+	2.25304i	0.0945356	+	0.0945356i
$569$	45.5334	+	4.78576i	1.90886	+	0.200629i	0.983810	−	0.179215i	$-0.0573557\pi$
$569$	45.5334	+	4.78576i	1.90886	+	0.200629i	0.925051	+	0.379844i	$0.124022\pi$
$570$	2.18141	+	1.01352i	0.0913693	+	0.0424515i
$571$	−0.845322	−	8.04271i	−0.0353756	−	0.336577i	−0.997868	−	0.0652673i	$-0.979210\pi$
$571$	−0.845322	−	8.04271i	−0.0353756	−	0.336577i	0.962492	−	0.271309i	$-0.0874567\pi$
$572$	6.46025	+	16.8295i	0.270117	+	0.703678i
$573$	−11.2225	−	5.71817i	−0.468828	−	0.238880i
$574$	−8.44072	−	3.48762i	−0.352309	−	0.145571i
$575$	−23.4556	+	17.7776i	−0.978166	+	0.741378i
$576$	1.34660	+	2.33238i	0.0561084	+	0.0971825i
$577$	−3.21707	−	4.95385i	−0.133928	−	0.206231i	0.765343	−	0.643622i	$-0.222569\pi$
$577$	−3.21707	−	4.95385i	−0.133928	−	0.206231i	−0.899271	+	0.437391i	$0.855903\pi$
$578$	30.1569	−	37.2407i	1.25436	−	1.54901i
$579$	9.24172	+	4.11468i	0.384073	+	0.171000i
$580$	8.12572	+	4.86705i	0.337402	+	0.202093i
$581$	−1.05711	−	39.0650i	−0.0438563	−	1.62069i
$582$	−2.22534	+	2.22534i	−0.0922431	+	0.0922431i
$583$	−40.5915	+	32.8703i	−1.68113	+	1.36135i
$584$	−5.22489	−	5.80282i	−0.216207	−	0.240123i
$585$	−13.1245	+	19.5163i	−0.542630	+	0.806902i
$586$	−21.1033	−	19.0015i	−0.871770	−	0.784945i
$587$	−23.4137	+	11.9299i	−0.966388	+	0.492399i	−0.864630	−	0.502410i	$-0.832447\pi$
$587$	−23.4137	+	11.9299i	−0.966388	+	0.492399i	−0.101758	+	0.994809i	$0.532447\pi$
$588$	2.59943	+	2.87683i	0.107199	+	0.118638i
$589$	8.25711	−	2.68290i	0.340228	−	0.110547i
$590$	−3.63282	+	6.85534i	−0.149561	+	0.282230i
$591$	−4.46636	+	4.02153i	−0.183721	+	0.165423i
$592$	−0.541237	+	1.40997i	−0.0222447	+	0.0579494i
$593$	−37.4831	−	10.0436i	−1.53925	−	0.412440i	−0.613224	−	0.789909i	$-0.710128\pi$
$593$	−37.4831	−	10.0436i	−1.53925	−	0.412440i	−0.926022	+	0.377469i	$0.876794\pi$
$594$	−11.7760	−	8.55576i	−0.483175	−	0.351047i
$595$	−9.39754	+	46.7320i	−0.385262	+	1.91583i
$596$	−2.51915	+	1.83027i	−0.103188	+	0.0749708i
$597$	8.51087	−	3.26702i	0.348327	−	0.133710i
$598$	19.2795	−	12.5203i	0.788398	−	0.511992i
$599$	18.2711	+	10.5488i	0.746537	+	0.431013i	0.824441	−	0.565948i	$-0.191490\pi$
$599$	18.2711	+	10.5488i	0.746537	+	0.431013i	−0.0779045	+	0.996961i	$0.524823\pi$
$600$	0.200876	+	2.76218i	0.00820074	+	0.112765i
$601$			24.5511i			1.00146i	0.865603	+	0.500730i	$0.166935\pi$
$601$			24.5511i			1.00146i	−0.865603	+	0.500730i	$0.833065\pi$
$602$	15.9260	+	18.6140i	0.649095	+	0.758649i
$603$	26.6927	+	4.22770i	1.08701	+	0.172165i
$604$	−4.47581	+	10.0528i	−0.182118	+	0.409044i
$605$	22.8783	+	2.77679i	0.930133	+	0.112892i
$606$	0.806662	−	0.359149i	0.0327684	−	0.0145894i
$607$	2.17188	−	8.10556i	0.0881538	−	0.328995i	−0.907739	−	0.419536i	$-0.862193\pi$
$607$	2.17188	−	8.10556i	0.0881538	−	0.328995i	0.995893	+	0.0905410i	$0.0288596\pi$
$608$	1.91818	−	0.303809i	0.0777924	−	0.0123211i
$609$	6.10466	+	1.12591i	0.247373	+	0.0456244i
$610$	−1.55754	+	3.87054i	−0.0630630	+	0.156714i
$611$	−2.14509	+	2.38236i	−0.0867810	+	0.0963801i
$612$	−1.13568	+	21.6701i	−0.0459073	+	0.875964i
$613$	−0.367469	+	7.01172i	−0.0148419	+	0.283201i	0.981119	+	0.193407i	$0.0619539\pi$
$613$	−0.367469	+	7.01172i	−0.0148419	+	0.283201i	−0.995960	+	0.0897931i	$0.971379\pi$
$614$	−14.1719	+	15.7395i	−0.571931	+	0.635193i
$615$	−3.27892	−	2.74357i	−0.132219	−	0.110632i
$616$	−12.0100	−	2.21506i	−0.483895	−	0.0892474i
$617$	−23.3042	+	3.69103i	−0.938194	+	0.148595i	−0.606762	−	0.794884i	$-0.707532\pi$
$617$	−23.3042	+	3.69103i	−0.938194	+	0.148595i	−0.331432	+	0.943479i	$0.607532\pi$
$618$	0.806586	−	3.01022i	0.0324456	−	0.121089i
$619$	−8.06153	+	3.58923i	−0.324020	+	0.144263i	−0.562300	−	0.826934i	$-0.690083\pi$
$619$	−8.06153	+	3.58923i	−0.324020	+	0.144263i	0.238279	+	0.971197i	$0.423417\pi$
$620$	7.32029	+	6.80726i	0.293990	+	0.273386i
$621$	−7.54985	+	16.9572i	−0.302965	+	0.680470i
$622$	15.3695	+	2.43429i	0.616260	+	0.0976061i
$623$	−8.14170	−	9.51586i	−0.326190	−	0.381245i
$624$		−	2.16317i		−	0.0865961i
$625$	9.23601	−	23.2314i	0.369440	−	0.929254i
$626$	−24.7239	−	14.2744i	−0.988166	−	0.570518i
$627$	−4.16432	+	2.70434i	−0.166307	+	0.108001i
$628$	14.2225	−	5.45952i	0.567541	−	0.217859i
$629$	−9.84475	+	7.15263i	−0.392536	+	0.285194i
$630$	−6.64021	−	14.4836i	−0.264552	−	0.577040i
$631$	−24.3679	−	17.7043i	−0.970072	−	0.704799i	−0.0146041	−	0.999893i	$-0.504649\pi$
$631$	−24.3679	−	17.7043i	−0.970072	−	0.704799i	−0.955468	+	0.295095i	$0.904649\pi$
$632$	−7.49742	−	2.00893i	−0.298231	−	0.0799109i
$633$	−1.49773	+	3.90171i	−0.0595292	+	0.155079i
$634$	−7.39274	+	6.65645i	−0.293603	+	0.264362i
$635$	−13.4066	−	2.34471i	−0.532024	−	0.0930470i
$636$	5.96086	−	1.93680i	0.236363	−	0.0767991i
$637$	5.73055	+	26.7303i	0.227052	+	1.05909i
$638$	−17.4215	+	8.87671i	−0.689725	+	0.351432i
$639$	−6.37715	−	5.74201i	−0.252276	−	0.227150i
$640$	1.37911	+	1.76013i	0.0545142	+	0.0695752i
$641$	13.6951	+	15.2099i	0.540922	+	0.600755i	0.950195	−	0.311657i	$-0.100884\pi$
$641$	13.6951	+	15.2099i	0.540922	+	0.600755i	−0.409272	+	0.912412i	$0.634217\pi$
$642$	6.60339	−	5.34732i	0.260615	−	0.211042i
$643$	−13.4277	+	13.4277i	−0.529537	+	0.529537i	−0.920434	−	0.390898i	$-0.872165\pi$
$643$	−13.4277	+	13.4277i	−0.529537	+	0.529537i	0.390898	+	0.920434i	$0.372165\pi$
$644$	0.421274	+	15.5679i	0.0166005	+	0.613463i
$645$	4.49552	+	10.5499i	0.177011	+	0.415403i
$646$	14.2951	+	6.36460i	0.562434	+	0.250412i
$647$	7.18119	−	8.86803i	0.282322	−	0.348638i	−0.616182	−	0.787604i	$-0.711322\pi$
$647$	7.18119	−	8.86803i	0.282322	−	0.348638i	0.898504	+	0.438965i	$0.144655\pi$
$648$	−3.44916	−	5.31125i	−0.135496	−	0.208645i
$649$	−8.00784	−	13.8700i	−0.314335	−	0.544444i
$650$	−8.51116	+	17.5744i	−0.333835	+	0.689326i
$651$	6.05482	+	2.50179i	0.237307	+	0.0980530i
$652$	−18.0201	−	9.18168i	−0.705720	−	0.359582i
$653$	−11.3855	−	29.6603i	−0.445551	−	1.16070i	−0.954053	−	0.299638i	$-0.903134\pi$
$653$	−11.3855	−	29.6603i	−0.445551	−	1.16070i	0.508502	−	0.861061i	$-0.330199\pi$
$654$	−0.512262	−	4.87385i	−0.0200310	−	0.190583i
$655$	−18.3558	+	3.59451i	−0.717219	+	0.140449i
$656$	−3.43299	−	0.360822i	−0.134036	−	0.0140877i
$657$	14.8703	+	14.8703i	0.580146	+	0.580146i
$658$	−0.618644	−	2.08183i	−0.0241173	−	0.0811580i
$659$	−36.5279	−	11.8686i	−1.42293	−	0.462336i	−0.506395	−	0.862302i	$-0.669022\pi$
$659$	−36.5279	−	11.8686i	−1.42293	−	0.462336i	−0.916530	+	0.399965i	$0.869022\pi$
$660$	−5.05155	−	2.67695i	−0.196631	−	0.104200i
$661$	5.93602	−	27.9268i	0.230884	−	1.08623i	−0.698069	−	0.716030i	$-0.745957\pi$
$661$	5.93602	−	27.9268i	0.230884	−	1.08623i	0.928954	−	0.370196i	$-0.120709\pi$
$662$	−1.65616	−	0.0867957i	−0.0643685	−	0.00337341i
$663$	9.49266	−	14.6174i	0.368664	−	0.567694i
$664$	−4.56436	−	14.0476i	−0.177131	−	0.545155i
$665$	−11.4665	+	0.727396i	−0.444652	+	0.0282072i
$666$	1.25692	−	3.86842i	0.0487049	−	0.149898i
$667$	15.6914	+	19.3773i	0.607574	+	0.750291i
$668$	1.61661	+	6.03326i	0.0625484	+	0.233434i
$669$	4.39994	+	9.88243i	0.170112	+	0.382077i
$670$	22.4353	+	0.360383i	0.866752	+	0.0139228i
$671$	−5.06236	−	6.96774i	−0.195430	−	0.268986i
$672$	1.25018	+	0.764612i	0.0482269	+	0.0294956i
$673$	−13.7287	+	26.9440i	−0.529202	+	1.03862i	0.459424	+	0.888217i	$0.348056\pi$
$673$	−13.7287	+	26.9440i	−0.529202	+	1.03862i	−0.988625	+	0.150399i	$0.951944\pi$
$674$	−5.20020	+	3.00234i	−0.200304	+	0.115646i
$675$	−1.96508	−	15.6442i	−0.0756359	−	0.602147i
$676$	1.12601	−	1.95030i	0.0433080	−	0.0750116i
$677$	−1.38077	+	0.0723631i	−0.0530673	+	0.00278114i	−0.0788511	−	0.996886i	$-0.525125\pi$
$677$	−1.38077	+	0.0723631i	−0.0530673	+	0.00278114i	0.0257838	+	0.999668i	$0.491792\pi$
$678$	0.565133	−	3.56811i	0.0217038	−	0.137033i
$679$	4.25688	−	14.4172i	0.163364	−	0.553282i
$680$	1.59523	+	17.9459i	0.0611741	+	0.688193i
$681$	1.01734	−	9.67938i	0.0389847	−	0.370915i
$682$	−19.9321	+	5.34079i	−0.763240	+	0.204510i
$683$	−24.4527	−	9.38652i	−0.935658	−	0.359165i	−0.157704	−	0.987487i	$-0.550409\pi$
$683$	−24.4527	−	9.38652i	−0.935658	−	0.359165i	−0.777954	+	0.628321i	$0.783742\pi$
$684$	−5.11613	+	1.08747i	−0.195620	+	0.0415804i
$685$	−19.9240	+	4.99707i	−0.761258	+	0.190928i
$686$	−17.4741	−	6.13640i	−0.667165	−	0.234289i
$687$	−2.85515	−	5.60355i	−0.108931	−	0.213789i
$688$	7.76534	+	5.04287i	0.296051	+	0.192258i
$689$	43.2259	+	9.18794i	1.64677	+	0.350033i
$690$	−1.99976	+	7.01080i	−0.0761297	+	0.266897i
$691$	−1.18927	−	5.59510i	−0.0452421	−	0.212848i	0.949720	−	0.313101i	$-0.101368\pi$
$691$	−1.18927	−	5.59510i	−0.0452421	−	0.212848i	−0.994962	+	0.100254i	$0.968035\pi$
$692$	2.92197	+	18.4486i	0.111077	+	0.701311i
$693$	32.6131	+	4.26461i	1.23887	+	0.161999i
$694$	−11.6793	+	16.0751i	−0.443339	+	0.610204i
$695$	−20.1481	−	28.6894i	−0.764262	−	1.08825i
$696$	2.33341	−	0.245251i	0.0884475	−	0.00929621i
$697$	−21.6147	−	17.5032i	−0.818715	−	0.662983i
$698$	−1.72298	−	32.8764i	−0.0652157	−	1.24439i
$699$	−14.4164			−0.545277
$700$	−7.14856	−	11.1310i	−0.270190	−	0.420711i
$701$	22.7409			0.858910			0.429455	−	0.903088i	$-0.358706\pi$
$701$	22.7409			0.858910			0.429455	+	0.903088i	$0.358706\pi$
$702$	0.644536	+	12.2985i	0.0243264	+	0.464176i
$703$	−2.27945	−	1.84586i	−0.0859710	−	0.0696179i
$704$	−4.59062	+	0.482493i	−0.173015	+	0.0181846i
$705$	0.0163290	−	1.01655i	0.000614985	−	0.0382853i
$706$	10.1910	−	14.0267i	0.383544	−	0.527904i
$707$	−2.56469	+	3.34843i	−0.0964553	+	0.125931i
$708$	0.300641	+	1.89817i	0.0112988	+	0.0713377i
$709$	−0.190431	−	0.895906i	−0.00715178	−	0.0336465i	0.974427	−	0.224704i	$-0.0721416\pi$
$709$	−0.190431	−	0.895906i	−0.00715178	−	0.0336465i	−0.981579	+	0.191058i	$0.938808\pi$
$710$	−5.91222	−	3.97589i	−0.221882	−	0.149212i
$711$	20.4476	+	4.34626i	0.766843	+	0.162998i
$712$	−3.96980	−	2.57802i	−0.148775	−	0.0966154i
$713$	11.9465	+	23.4463i	0.447400	+	0.878073i
$714$	5.09265	+	10.6530i	0.190588	+	0.398678i
$715$	−21.4082	−	34.1545i	−0.800622	−	1.27730i
$716$	6.33311	−	1.34614i	0.236679	−	0.0503078i
$717$	6.63440	+	2.54671i	0.247766	+	0.0951085i
$718$	7.80509	−	2.09137i	0.291283	−	0.0780491i
$719$	1.40657	−	13.3826i	0.0524562	−	0.499087i	−0.936477	−	0.350728i	$-0.885934\pi$
$719$	1.40657	−	13.3826i	0.0524562	−	0.499087i	0.988934	−	0.148359i	$-0.0473992\pi$
$720$	−3.95723	−	4.53950i	−0.147477	−	0.169177i
$721$	3.48770	+	14.4716i	0.129889	+	0.538951i
$722$	2.38223	−	15.0408i	0.0886574	−	0.559761i
$723$	7.83344	−	0.410533i	0.291329	−	0.0152679i
$724$	−8.65443	+	14.9899i	−0.321639	+	0.557096i
$725$	−19.9224	−	7.18845i	−0.739901	−	0.266972i
$726$	4.94392	−	2.85437i	0.183486	−	0.105936i
$727$	−0.405380	+	0.795602i	−0.0150347	+	0.0295072i	−0.898402	−	0.439175i	$-0.855271\pi$
$727$	−0.405380	+	0.795602i	−0.0150347	+	0.0295072i	0.883367	+	0.468682i	$0.155271\pi$
$728$	4.93826	+	9.07622i	0.183024	+	0.336387i
$729$	6.94519	+	9.55923i	0.257229	+	0.354046i
$730$	13.9590	+	10.4884i	0.516646	+	0.388195i
$731$	30.3439	+	68.1534i	1.12231	+	2.52075i
$732$	0.267486	+	0.998271i	0.00988656	+	0.0368971i
$733$	−13.0130	−	16.0697i	−0.480647	−	0.593550i	0.477925	−	0.878401i	$-0.341389\pi$
$733$	−13.0130	−	16.0697i	−0.480647	−	0.593550i	−0.958572	+	0.284851i	$0.908056\pi$
$734$	1.39738	−	4.30071i	0.0515784	−	0.158742i
$735$	−6.94037	−	5.19587i	−0.255999	−	0.191652i
$736$	1.81896	+	5.59819i	0.0670478	+	0.206352i
$737$	−25.2272	+	38.8464i	−0.929255	+	1.43093i
$738$	9.28392	+	0.486549i	0.341746	+	0.0179101i
$739$	3.20273	−	15.0676i	0.117814	−	0.554272i	−0.879159	−	0.476528i	$-0.841895\pi$
$739$	3.20273	−	15.0676i	0.117814	−	0.554272i	0.996973	−	0.0777438i	$-0.0247716\pi$
$740$	0.581798	−	3.32660i	0.0213873	−	0.122288i
$741$	3.99545	+	1.29820i	0.146777	+	0.0476906i
$742$	−20.5891	+	21.7343i	−0.755848	+	0.797893i
$743$	−31.1397	−	31.1397i	−1.14240	−	1.14240i	−0.988009	−	0.154394i	$-0.950658\pi$
$743$	−31.1397	−	31.1397i	−1.14240	−	1.14240i	−0.154394	−	0.988009i	$-0.549342\pi$
$744$	2.46260	+	0.258830i	0.0902834	+	0.00948917i
$745$	4.74150	−	5.09884i	0.173715	−	0.186807i
$746$	1.04073	+	9.90184i	0.0381037	+	0.362532i
$747$	14.2559	+	37.1379i	0.521597	+	1.35881i
$748$	−33.1380	−	16.8846i	−1.21164	−	0.617364i
$749$	−15.4992	+	37.5110i	−0.566328	+	1.37062i
$750$	−1.62775	−	5.97497i	−0.0594371	−	0.218175i
$751$	24.7846	+	42.9282i	0.904403	+	1.56647i	0.821717	+	0.569896i	$0.193017\pi$
$751$	24.7846	+	42.9282i	0.904403	+	1.56647i	0.0826862	+	0.996576i	$0.473650\pi$
$752$	−0.447074	−	0.688434i	−0.0163031	−	0.0251046i
$753$	−6.47311	+	7.99363i	−0.235893	+	0.291304i
$754$	15.1127	+	6.72862i	0.550373	+	0.245042i
$755$	5.50181	−	23.9832i	0.200231	−	0.872836i
$756$	−7.33562	−	3.97462i	−0.266794	−	0.144556i
$757$	7.76129	−	7.76129i	0.282089	−	0.282089i	−0.551853	−	0.833942i	$-0.686079\pi$
$757$	7.76129	−	7.76129i	0.282089	−	0.282089i	0.833942	+	0.551853i	$0.186079\pi$
$758$	−7.87180	+	6.37446i	−0.285917	+	0.231531i
$759$	−10.0701	−	11.1840i	−0.365523	−	0.405955i
$760$	−4.07868	+	1.49095i	−0.147949	+	0.0540823i
$761$	7.53426	+	6.78388i	0.273117	+	0.245915i	0.794295	−	0.607533i	$-0.207841\pi$
$761$	7.53426	+	6.78388i	0.273117	+	0.245915i	−0.521178	+	0.853448i	$0.674507\pi$
$762$	−3.00388	+	1.53056i	−0.108819	+	0.0554462i
$763$	13.2758	+	19.2802i	0.480615	+	0.697991i
$764$	21.6267	−	7.02693i	0.782425	−	0.254225i
$765$	−6.81987	−	48.0408i	−0.246573	−	1.73692i
$766$	9.56944	−	8.61636i	0.345758	−	0.311322i
$767$	−4.85603	+	12.6504i	−0.175341	+	0.456779i
$768$	0.535021	+	0.143358i	0.0193059	+	0.00517300i
$769$	−24.9797	−	18.1488i	−0.900791	−	0.654463i	0.0378783	−	0.999282i	$-0.487940\pi$
$769$	−24.9797	−	18.1488i	−0.900791	−	0.654463i	−0.938669	+	0.344820i	$0.887940\pi$
$770$	27.3064	−	0.300161i	0.984054	−	0.0108171i
$771$	−0.0758137	+	0.0550819i	−0.00273036	+	0.00198373i
$772$	−17.0509	+	6.54523i	−0.613675	+	0.235568i
$773$	0.517138	−	0.335833i	0.0186002	−	0.0120791i	−0.535305	−	0.844659i	$-0.679804\pi$
$773$	0.517138	−	0.335833i	0.0186002	−	0.0120791i	0.553906	+	0.832579i	$0.313137\pi$
$774$	−21.5957	−	12.4683i	−0.776243	−	0.448164i
$775$	−18.9888	−	11.7921i	−0.682096	−	0.423586i
$776$		−	5.68177i		−	0.203964i
$777$	−0.405238	−	2.17585i	−0.0145378	−	0.0780584i
$778$	20.8732	+	3.30599i	0.748340	+	0.118525i
$779$	2.72672	−	6.12431i	0.0976948	−	0.219426i
$780$	0.929548	+	4.74684i	0.0332832	+	0.169964i
$781$	13.4360	−	5.98211i	0.480779	−	0.214057i
$782$	−12.2751	+	45.8114i	−0.438958	+	1.63821i
$783$	−13.1933	+	2.08961i	−0.471489	+	0.0746765i
$784$	−6.99104	−	0.354135i	−0.249680	−	0.0126477i
$785$	−28.8638	+	18.0920i	−1.03019	+	0.645730i
$786$	−3.10025	+	3.44317i	−0.110582	+	0.122814i
$787$	1.24262	−	23.7106i	0.0442946	−	0.845192i	−0.882658	−	0.470015i	$-0.844249\pi$
$787$	1.24262	−	23.7106i	0.0442946	−	0.845192i	0.926953	−	0.375177i	$-0.122418\pi$
$788$	0.567876	−	10.8357i	0.0202297	−	0.386006i
$789$	−4.81896	+	5.35199i	−0.171559	+	0.190536i
$790$	17.3155	+	1.18661i	0.616059	+	0.0422177i
$791$	5.77439	+	16.2612i	0.205314	+	0.578182i
$792$	12.2785	−	1.94472i	0.436297	−	0.0691027i
$793$	−1.88598	+	7.03858i	−0.0669732	+	0.249947i
$794$	17.3339	−	7.71755i	0.615157	−	0.273886i
$795$	−12.2482	+	6.81157i	−0.434398	+	0.241581i
$796$	−6.69435	+	15.0358i	−0.237275	+	0.532928i
$797$	1.50721	+	0.238718i	0.0533880	+	0.00845582i	0.183071	−	0.983100i	$-0.441396\pi$
$797$	1.50721	+	0.238718i	0.0533880	+	0.00845582i	−0.129683	+	0.991555i	$0.541396\pi$
$798$	−2.16255	+	1.85026i	−0.0765534	+	0.0654986i
$799$		−	6.61393i		−	0.233984i
$800$	−3.78266	−	3.26978i	−0.133737	−	0.115604i
$801$	11.0402	+	6.37407i	0.390086	+	0.225217i
$802$	8.10969	−	5.26650i	0.286363	−	0.185966i
$803$	−33.6492	+	12.9167i	−1.18745	+	0.455821i
$804$	4.49664	−	3.26700i	0.158584	−	0.115218i
$805$	−7.61423	−	33.9811i	−0.268366	−	1.19768i
$806$	14.1245	+	10.2621i	0.497516	+	0.361466i
$807$	−11.4943	−	3.07990i	−0.404619	−	0.108417i
$808$	−0.571299	+	1.48829i	−0.0200982	+	0.0523577i
$809$	−22.1913	+	19.9812i	−0.780205	+	0.702500i	−0.959628	−	0.281272i	$-0.909244\pi$
$809$	−22.1913	+	19.9812i	−0.780205	+	0.702500i	0.179423	+	0.983772i	$0.442577\pi$
$810$	9.85113	+	10.1728i	0.346134	+	0.357435i
$811$	27.3686	−	8.89260i	0.961042	−	0.312261i	0.213847	−	0.976867i	$-0.431400\pi$
$811$	27.3686	−	8.89260i	0.961042	−	0.312261i	0.747194	+	0.664606i	$0.231400\pi$
$812$	−9.23061	+	6.35591i	−0.323931	+	0.223049i
$813$	−2.52219	+	1.28512i	−0.0884571	+	0.0450711i
$814$	5.18070	+	4.66472i	0.181583	+	0.163498i
$815$	43.4885	+	12.4047i	1.52334	+	0.434517i
$816$	2.98625	+	3.31657i	0.104540	+	0.116103i
$817$	−13.9746	+	11.3164i	−0.488910	+	0.395912i
$818$	−4.60396	+	4.60396i	−0.160974	+	0.160974i
$819$	−14.5608	−	23.7145i	−0.508795	−	0.828652i
$820$	7.68837	−	0.683426i	0.268489	−	0.0238663i
$821$	4.28577	+	1.90815i	0.149574	+	0.0665948i	0.480159	−	0.877182i	$-0.340579\pi$
$821$	4.28577	+	1.90815i	0.149574	+	0.0665948i	−0.330584	+	0.943776i	$0.607246\pi$
$822$	−3.20212	+	3.95429i	−0.111687	+	0.137922i
$823$	17.2297	+	26.5315i	0.600591	+	0.924829i	0.999968	+	0.00804213i	$0.00255992\pi$
$823$	17.2297	+	26.5315i	0.600591	+	0.924829i	−0.399377	+	0.916787i	$0.630773\pi$
$824$	2.81318	+	4.87257i	0.0980017	+	0.169744i
$825$	12.2354	+	3.70353i	0.425981	+	0.128940i
$826$	−5.59473	−	7.27801i	−0.194665	−	0.253234i
$827$	8.67136	+	4.41828i	0.301533	+	0.153639i	0.598210	−	0.801339i	$-0.295879\pi$
$827$	8.67136	+	4.41828i	0.301533	+	0.153639i	−0.296678	+	0.954978i	$0.595879\pi$
$828$	−5.68119	−	14.8000i	−0.197435	−	0.514336i
$829$	1.73410	+	16.4988i	0.0602277	+	0.573028i	0.982471	+	0.186417i	$0.0596876\pi$
$829$	1.73410	+	16.4988i	0.0602277	+	0.573028i	−0.922243	+	0.386611i	$0.873646\pi$
$830$	16.0525	+	28.8646i	0.557190	+	1.00191i
$831$	−0.900332	−	0.0946287i	−0.0312322	−	0.00328263i
$832$	2.76152	+	2.76152i	0.0957386	+	0.0957386i
$833$	−45.6872	−	33.0719i	−1.58297	−	1.14587i
$834$	−8.25904	−	2.68353i	−0.285987	−	0.0929229i
$835$	−6.14005	−	12.5446i	−0.212485	−	0.434125i
$836$	1.86382	−	8.76859i	0.0644616	−	0.303268i
$837$	−14.0780	−	0.737797i	−0.486607	−	0.0255020i
$838$	11.7159	−	18.0409i	0.404719	−	0.623212i
$839$	−4.55324	−	14.0134i	−0.157195	−	0.483797i	0.841181	−	0.540753i	$-0.181861\pi$
$839$	−4.55324	−	14.0134i	−0.157195	−	0.483797i	−0.998377	+	0.0569557i	$0.981861\pi$
$840$	−3.07196	−	1.14063i	−0.105993	−	0.0393556i
$841$	3.41677	−	10.5157i	0.117820	−	0.362611i
$842$	19.2475	+	23.7687i	0.663312	+	0.819122i
$843$	4.71572	+	17.5993i	0.162418	+	0.606152i
$844$	−3.06895	−	6.89297i	−0.105638	−	0.237266i
$845$	−1.63282	+	4.76358i	−0.0561708	+	0.163872i
$846$	1.29945	+	1.78853i	0.0446759	+	0.0614911i
$847$	−14.2275	+	23.2627i	−0.488862	+	0.799317i
$848$	−5.13715	+	10.0822i	−0.176410	+	0.346225i
$849$	−6.04808	+	3.49186i	−0.207570	+	0.119840i
$850$	−11.2122	−	38.6947i	−0.384574	−	1.32722i
$851$	4.44498	−	7.69893i	0.152372	−	0.263916i
$852$	−1.76245	+	0.0923659i	−0.0603804	+	0.00316440i
$853$	−2.33950	+	14.7710i	−0.0801030	+	0.505751i	0.914717	+	0.404096i	$0.132414\pi$
$853$	−2.33950	+	14.7710i	−0.0801030	+	0.505751i	−0.994820	+	0.101655i	$0.967586\pi$
$854$	−3.40125	−	3.57790i	−0.116388	−	0.122433i
$855$	10.7595	−	4.58481i	0.367967	−	0.156797i
$856$	−1.60351	+	15.2564i	−0.0548069	+	0.521453i
$857$	49.1424	−	13.1677i	1.67867	−	0.449799i	0.711244	−	0.702945i	$-0.248132\pi$
$857$	49.1424	−	13.1677i	1.67867	−	0.449799i	0.967428	+	0.253147i	$0.0814655\pi$
$858$	−9.32178	−	3.57830i	−0.318240	−	0.122161i
$859$	12.2642	−	2.60684i	0.418450	−	0.0889443i	0.00612522	−	0.999981i	$-0.498050\pi$
$859$	12.2642	−	2.60684i	0.418450	−	0.0889443i	0.412325	+	0.911037i	$0.364717\pi$
$860$	−19.2072	−	7.72913i	−0.654959	−	0.263561i
$861$	4.56395	−	2.18179i	0.155539	−	0.0743552i
$862$	−2.72756	−	5.35313i	−0.0929009	−	0.182328i
$863$	17.7927	+	11.5547i	0.605671	+	0.393327i	0.810728	−	0.585423i	$-0.199071\pi$
$863$	17.7927	+	11.5547i	0.605671	+	0.393327i	−0.205057	+	0.978750i	$0.565738\pi$
$864$	−3.08452	−	0.655635i	−0.104938	−	0.0223052i
$865$	−14.3396	−	39.2278i	−0.487561	−	1.33379i
$866$	−5.60378	−	26.3637i	−0.190424	−	0.895876i
$867$	4.15217	+	26.2157i	0.141015	+	0.890333i
$868$	−10.9235	+	4.53583i	−0.370766	+	0.153956i
$869$	−21.0593	+	28.9856i	−0.714387	+	0.983269i
$870$	−5.01501	+	1.54088i	−0.170025	+	0.0522406i
$871$	38.9745	−	4.09639i	1.32060	−	0.138801i
$872$	6.87596	+	5.56804i	0.232849	+	0.188558i
$873$	0.800852	+	15.2812i	0.0271047	+	0.517189i
$874$	−11.4317			−0.386682
$875$	20.4699	+	21.3538i	0.692008	+	0.721890i
$876$	4.32507			0.146131
$877$	1.47932	+	28.2270i	0.0499530	+	0.953159i	0.902549	+	0.430588i	$0.141694\pi$
$877$	1.47932	+	28.2270i	0.0499530	+	0.953159i	−0.852596	+	0.522571i	$0.824973\pi$
$878$	2.06394	+	1.67134i	0.0696545	+	0.0564051i
$879$	15.6430	−	1.64414i	0.527624	−	0.0554555i
$880$	9.86626	−	3.03144i	0.332592	−	0.102190i
$881$	4.00325	−	5.51000i	0.134873	−	0.185637i	−0.736238	−	0.676722i	$-0.763400\pi$
$881$	4.00325	−	5.51000i	0.134873	−	0.185637i	0.871111	+	0.491086i	$0.163400\pi$
$882$	18.8524	−	0.0329461i	0.634793	−	0.00110935i
$883$	−0.460846	−	2.90967i	−0.0155087	−	0.0979181i	0.978720	−	0.205201i	$-0.0657849\pi$
$883$	−0.460846	−	2.90967i	−0.0155087	−	0.0979181i	−0.994229	+	0.107283i	$0.965785\pi$
$884$	6.54231	+	30.7792i	0.220042	+	1.03521i
$885$	−1.47540	−	4.03614i	−0.0495949	−	0.135673i
$886$	−2.27412	−	0.483378i	−0.0764004	−	0.0162394i
$887$	9.72560	+	6.31588i	0.326554	+	0.212066i	0.697495	−	0.716590i	$-0.254298\pi$
$887$	9.72560	+	6.31588i	0.326554	+	0.212066i	−0.370941	+	0.928656i	$0.620965\pi$
$888$	−0.379780	−	0.745360i	−0.0127446	−	0.0250126i
$889$	9.10961	−	13.2794i	0.305526	−	0.445377i
$890$	9.81911	+	3.95129i	0.329137	+	0.132448i
$891$	−28.5934	+	6.07772i	−0.957915	+	0.203611i
$892$	−18.2330	−	6.99899i	−0.610486	−	0.234344i
$893$	1.53987	−	0.412606i	0.0515297	−	0.0138073i
$894$	0.180284	−	1.71529i	0.00602961	−	0.0573679i
$895$	−13.3188	+	5.67540i	−0.445200	+	0.189708i
$896$	−2.57211	+	0.619886i	−0.0859281	+	0.0207089i
$897$	−1.99189	+	12.5763i	−0.0665071	+	0.419909i
$898$	−30.4959	+	1.59822i	−1.01766	+	0.0533335i
$899$	−9.46830	+	16.3996i	−0.315785	+	0.546956i
$900$	10.6344	+	8.26094i	0.354480	+	0.275365i
$901$	−78.9578	+	45.5863i	−2.63046	+	1.51870i
$902$	−7.23372	+	14.1970i	−0.240856	+	0.472707i
$903$	−13.5646	−	0.343340i	−0.451400	−	0.0114256i
$904$	3.83363	+	5.27654i	0.127505	+	0.175495i
$905$	12.5498	−	36.6126i	0.417169	−	1.21705i
$906$	−2.47913	−	5.56821i	−0.0823635	−	0.184991i
$907$	−4.49896	−	16.7903i	−0.149385	−	0.557514i	−0.999521	−	0.0309502i	$-0.990147\pi$
$907$	−4.49896	−	16.7903i	−0.149385	−	0.557514i	0.850135	−	0.526564i	$-0.176520\pi$
$908$	11.0580	+	13.6555i	0.366974	+	0.453175i
$909$	1.32674	−	4.08328i	0.0440052	−	0.135434i
$910$	−14.7367	−	17.7947i	−0.488515	−	0.589889i
$911$	3.16045	+	9.72686i	0.104710	+	0.322265i	0.989662	−	0.143417i	$-0.0458090\pi$
$911$	3.16045	+	9.72686i	0.104710	+	0.322265i	−0.884952	+	0.465682i	$0.845809\pi$
$912$	−0.585874	+	0.902168i	−0.0194002	+	0.0298738i
$913$	−68.0861	−	3.56824i	−2.25332	−	0.118092i
$914$	2.35019	−	11.0568i	0.0777373	−	0.365725i
$915$	−1.01594	−	2.07565i	−0.0335860	−	0.0686189i
$916$	10.7985	+	3.50863i	0.356791	+	0.115928i
$917$	5.14765	−	21.5243i	0.169990	−	0.710796i
$918$	−17.9662	−	17.9662i	−0.592974	−	0.592974i
$919$	21.9041	+	2.30221i	0.722550	+	0.0759431i	0.458663	−	0.888610i	$-0.348329\pi$
$919$	21.9041	+	2.30221i	0.722550	+	0.0759431i	0.263887	+	0.964554i	$0.414995\pi$
$920$	−6.39714	−	11.5030i	−0.210908	−	0.379242i
$921$	−1.22625	−	11.6670i	−0.0404062	−	0.384440i
$922$	−8.05664	−	20.9883i	−0.265331	−	0.691212i
$923$	−11.0874	−	5.64930i	−0.364946	−	0.185949i
$924$	5.36300	−	4.12263i	0.176430	−	0.135624i
$925$	0.152802	+	7.54987i	0.00502409	+	0.248238i
$926$	−7.76434	−	13.4482i	−0.255152	−	0.441936i
$927$	−8.25287	−	12.7083i	−0.271060	−	0.417395i
$928$	−2.66576	+	3.29194i	−0.0875078	+	0.108063i
$929$	38.3836	+	17.0895i	1.25932	+	0.560687i	0.924352	−	0.381541i	$-0.124607\pi$
$929$	38.3836	+	17.0895i	1.25932	+	0.560687i	0.334972	+	0.942228i	$0.391273\pi$
$930$	−5.51513	+	0.490245i	−0.180848	+	0.0160758i
$931$	4.84969	−	12.7002i	0.158942	−	0.416231i
$932$	18.4041	−	18.4041i	0.602845	−	0.602845i
$933$	−6.69837	+	5.42423i	−0.219295	+	0.177581i
$934$	−15.8573	−	17.6113i	−0.518865	−	0.576258i
$935$	79.9733	+	22.8116i	2.61540	+	0.746018i
$936$	−7.81638	−	7.03790i	−0.255486	−	0.230041i
$937$	16.7862	−	8.55300i	0.548381	−	0.279414i	−0.157769	−	0.987476i	$-0.550430\pi$
$937$	16.7862	−	8.55300i	0.548381	−	0.279414i	0.706150	+	0.708062i	$0.250430\pi$
$938$	−11.4088	+	23.9729i	−0.372511	+	0.782744i
$939$	15.0390	−	4.88648i	0.490780	−	0.159464i
$940$	1.27689	+	1.31858i	0.0416474	+	0.0430073i
$941$	34.0159	−	30.6281i	1.10889	−	0.998446i	0.108897	−	0.994053i	$-0.465268\pi$
$941$	34.0159	−	30.6281i	1.10889	−	0.998446i	0.999990	−	0.00439329i	$-0.00139843\pi$
$942$	−3.02400	+	7.87779i	−0.0985272	+	0.256672i
$943$	19.6265	+	5.25891i	0.639127	+	0.171254i
$944$	−2.80702	−	2.03942i	−0.0913609	−	0.0663776i
$945$	17.8052	+	5.56964i	0.579202	+	0.181180i
$946$	34.5767	−	25.1214i	1.12418	−	0.816768i
$947$	−7.86144	+	3.01773i	−0.255463	+	0.0980629i	−0.482729	−	0.875770i	$-0.660354\pi$
$947$	−7.86144	+	3.01773i	−0.255463	+	0.0980629i	0.227267	+	0.973833i	$0.427021\pi$
$948$	3.60567	−	2.34155i	0.117107	−	0.0760501i
$949$	26.4095	+	15.2475i	0.857289	+	0.494956i
$950$	8.30952	−	5.02439i	0.269596	−	0.163013i
$951$		−	5.51009i		−	0.178677i
$952$	−20.1010	−	7.09839i	−0.651478	−	0.230060i
$953$	37.7397	+	5.97737i	1.22251	+	0.193626i	0.734131	−	0.679007i	$-0.237590\pi$
$953$	37.7397	+	5.97737i	1.22251	+	0.193626i	0.488376	+	0.872633i	$0.337590\pi$
$954$	12.3953	−	27.8403i	0.401313	−	0.901364i
$955$	−44.4377	+	24.7131i	−1.43797	+	0.799698i
$956$	−11.7207	+	5.21838i	−0.379074	+	0.168775i
$957$	2.80304	−	10.4611i	0.0906093	−	0.338158i
$958$	37.0336	−	5.86554i	1.19650	−	0.189507i
$959$	4.40827	−	23.9015i	0.142351	−	0.771818i
$960$	−1.23565	−	0.0846773i	−0.0398804	−	0.00273295i
$961$	7.37042	−	8.18568i	0.237755	−	0.264054i
$962$	0.308690	−	5.89015i	0.00995255	−	0.189906i
$963$	2.16225	−	41.2582i	0.0696776	−	1.32953i
$964$	−9.47615	+	10.5243i	−0.305206	+	0.338966i
$965$	34.6037	−	21.6898i	1.11393	−	0.698220i
$966$	−6.56427	−	5.59651i	−0.211202	−	0.180065i
$967$	25.0017	−	3.95988i	0.804001	−	0.127341i	0.259110	−	0.965848i	$-0.416571\pi$
$967$	25.0017	−	3.95988i	0.804001	−	0.127341i	0.544891	+	0.838507i	$0.316571\pi$
$968$	−2.66753	+	9.95537i	−0.0857377	+	0.319978i
$969$	−7.91799	+	3.52531i	−0.254362	+	0.113249i
$970$	2.44155	+	12.4680i	0.0783933	+	0.400324i
$971$	−9.55226	+	21.4547i	−0.306547	+	0.688515i	−0.999472	−	0.0324945i	$-0.989655\pi$
$971$	−9.55226	+	21.4547i	−0.306547	+	0.688515i	0.692925	+	0.721009i	$0.256322\pi$
$972$	12.8084	+	2.02865i	0.410830	+	0.0650691i
$973$	40.7794	−	7.59488i	1.30733	−	0.243481i
$974$			15.4913i			0.496374i
$975$	−4.07958	−	10.0170i	−0.130651	−	0.320800i
$976$	−1.61588	−	0.932927i	−0.0517229	−	0.0298623i
$977$	−41.3888	+	26.8782i	−1.32415	+	0.859911i	−0.996393	−	0.0848530i	$-0.972958\pi$
$977$	−41.3888	+	26.8782i	−1.32415	+	0.859911i	−0.327753	+	0.944764i	$0.606291\pi$
$978$	10.4581	−	4.01450i	0.334414	−	0.128370i
$979$	−17.6763	+	12.8426i	−0.564938	+	0.410451i
$980$	15.4932	−	2.22705i	0.494913	−	0.0711405i
$981$	−19.2778	−	14.0061i	−0.615492	−	0.447181i
$982$	2.22382	+	0.595870i	0.0709649	+	0.0190150i
$983$	−12.6236	+	32.8855i	−0.402629	+	1.04889i	0.571040	+	0.820922i	$0.306540\pi$
$983$	−12.6236	+	32.8855i	−0.402629	+	1.04889i	−0.973670	+	0.227963i	$0.926793\pi$
$984$	1.42088	−	1.27937i	0.0452961	−	0.0407848i
$985$	3.41014	+	24.0218i	0.108656	+	0.765398i
$986$	−32.4597	+	10.5468i	−1.03373	+	0.335878i
$987$	1.08622	+	0.516934i	0.0345746	+	0.0164542i
$988$	−6.75792	+	3.44333i	−0.214998	+	0.109547i
$989$	−40.5027	−	36.4688i	−1.28791	−	1.15964i
$990$	−26.1081	+	9.54374i	−0.829771	+	0.303320i
$991$	7.68082	+	8.53041i	0.243989	+	0.270977i	0.852684	−	0.522427i	$-0.174973\pi$
$991$	7.68082	+	8.53041i	0.243989	+	0.270977i	−0.608695	+	0.793404i	$0.708307\pi$
$992$	−3.47421	+	2.81336i	−0.110306	+	0.0893242i
$993$	0.649547	−	0.649547i	0.0206127	−	0.0206127i
$994$	7.18400	−	4.41100i	0.227863	−	0.139908i
$995$	8.22891	−	35.8710i	0.260874	−	1.13719i
$996$	7.47402	+	3.32765i	0.236824	+	0.105441i
$997$	−22.8738	+	28.2468i	−0.724420	+	0.894585i	−0.997730	−	0.0673413i	$-0.978548\pi$
$997$	−22.8738	+	28.2468i	−0.724420	+	0.894585i	0.273310	+	0.961926i	$0.411882\pi$
$998$	5.65477	+	8.70758i	0.178999	+	0.275634i
$999$	2.38129	+	4.12451i	0.0753406	+	0.130494i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.283.6	yes	320
7.5	odd	6	inner	350.2.x.a.33.6	✓	320
25.22	odd	20	inner	350.2.x.a.297.6	yes	320
175.47	even	60	inner	350.2.x.a.47.6	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.33.6	✓	320	7.5	odd	6	inner
350.2.x.a.47.6	yes	320	175.47	even	60	inner
350.2.x.a.283.6	yes	320	1.1	even	1	trivial
350.2.x.a.297.6	yes	320	25.22	odd	20	inner

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

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$q$ -expansion

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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	350.2.x.a.283.6

Level	$350$
Weight	$2$
Character	350.283
Analytic conductor	$2.795$
Analytic rank	$0$
Dimension	$320$
Inner twists	$4$