LMFDB - Embedded newform 290.2.l.b.129.3

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [290,2,Mod(9,290)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(290, base_ring=CyclotomicField(14)) chi = DirichletCharacter(H, H._module([7, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("290.9"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 290 = 2 \cdot 5 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	290.l (of order $14$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [48,8] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$2.31566165862$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$8$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			129.3
Character	$\chi$	$=$	290.129
Dual form			290.2.l.b.9.3

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.900969 + 0.433884i) q^{2} +(-0.581531 + 0.729217i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.424505 - 2.19540i) q^{5} +(-0.840337 + 0.404685i) q^{6} +(0.608556 + 0.485308i) q^{7} +(0.222521 + 0.974928i) q^{8} +(0.473984 + 2.07666i) q^{9} +(1.33502 - 1.79380i) q^{10} +(6.14382 + 1.40229i) q^{11} -0.932703 q^{12} +(-1.16968 - 0.266972i) q^{13} +(0.337723 + 0.701290i) q^{14} +(1.35406 + 1.58625i) q^{15} +(-0.222521 + 0.974928i) q^{16} -1.24981 q^{17} +(-0.473984 + 2.07666i) q^{18} +(-0.369108 + 0.294354i) q^{19} +(1.98111 - 1.03692i) q^{20} +(-0.707789 + 0.161548i) q^{21} +(4.92697 + 3.92912i) q^{22} +(-1.37875 - 2.86300i) q^{23} +(-0.840337 - 0.404685i) q^{24} +(-4.63959 - 1.86392i) q^{25} +(-0.938010 - 0.748038i) q^{26} +(-4.31098 - 2.07606i) q^{27} +0.778373i q^{28} +(-3.19922 + 4.33185i) q^{29} +(0.531719 + 2.01667i) q^{30} +(3.12251 - 6.48396i) q^{31} +(-0.623490 + 0.781831i) q^{32} +(-4.59540 + 3.66471i) q^{33} +(-1.12604 - 0.542270i) q^{34} +(1.32378 - 1.13001i) q^{35} +(-1.32807 + 1.66535i) q^{36} +(-0.391015 - 1.71315i) q^{37} +(-0.460270 + 0.105054i) q^{38} +(0.874885 - 0.697698i) q^{39} +(2.23482 - 0.0746612i) q^{40} +2.37406i q^{41} +(-0.707789 - 0.161548i) q^{42} +(-2.34116 + 1.12744i) q^{43} +(2.73426 + 5.67775i) q^{44} +(4.76031 - 0.159033i) q^{45} -3.17770i q^{46} +(1.94638 - 8.52763i) q^{47} +(-0.581531 - 0.729217i) q^{48} +(-1.42283 - 6.23382i) q^{49} +(-3.37140 - 3.69238i) q^{50} +(0.726801 - 0.911380i) q^{51} +(-0.520556 - 1.08095i) q^{52} +(-1.59298 + 3.30786i) q^{53} +(-2.98329 - 3.74093i) q^{54} +(5.68667 - 12.8929i) q^{55} +(-0.337723 + 0.701290i) q^{56} -0.440336i q^{57} +(-4.76192 + 2.51478i) q^{58} -6.85833 q^{59} +(-0.395937 + 2.04766i) q^{60} +(-6.29607 - 5.02095i) q^{61} +(5.62657 - 4.48704i) q^{62} +(-0.719372 + 1.49379i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(-1.08265 + 2.45459i) q^{65} +(-5.73037 + 1.30792i) q^{66} +(13.0109 - 2.96966i) q^{67} +(-0.779241 - 0.977138i) q^{68} +(2.88954 + 0.659518i) q^{69} +(1.68298 - 0.443738i) q^{70} +(-0.767595 + 3.36306i) q^{71} +(-1.91912 + 0.924200i) q^{72} +(-8.93897 + 4.30478i) q^{73} +(0.391015 - 1.71315i) q^{74} +(4.05727 - 2.29934i) q^{75} +(-0.460270 - 0.105054i) q^{76} +(3.05832 + 3.83502i) q^{77} +(1.09096 - 0.249005i) q^{78} +(-4.59089 + 1.04784i) q^{79} +(2.04590 + 0.902385i) q^{80} +(-1.73650 + 0.836254i) q^{81} +(-1.03007 + 2.13895i) q^{82} +(-8.49037 + 6.77085i) q^{83} +(-0.567603 - 0.452648i) q^{84} +(-0.530549 + 2.74383i) q^{85} -2.59849 q^{86} +(-1.29841 - 4.85204i) q^{87} +6.30182i q^{88} +(0.363551 - 0.754922i) q^{89} +(4.35790 + 1.92214i) q^{90} +(-0.582253 - 0.730122i) q^{91} +(1.37875 - 2.86300i) q^{92} +(2.91238 + 6.04761i) q^{93} +(5.45363 - 6.83863i) q^{94} +(0.489537 + 0.935295i) q^{95} +(-0.207546 - 0.909319i) q^{96} +(7.96210 + 9.98415i) q^{97} +(1.42283 - 6.23382i) q^{98} +13.4233i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 8 q^{2} - 4 q^{3} - 8 q^{4} + 8 q^{5} - 3 q^{6} + 7 q^{7} + 8 q^{8} - 8 q^{9} - q^{10} + 10 q^{12} - 10 q^{15} - 8 q^{16} - 30 q^{17} + 8 q^{18} - 13 q^{20} + 7 q^{21} + 7 q^{23} - 3 q^{24} - 12 q^{25}+ \cdots - 27 q^{98}+O(q^{100}) $ 48 * q + 8 * q^2 - 4 * q^3 - 8 * q^4 + 8 * q^5 - 3 * q^6 + 7 * q^7 + 8 * q^8 - 8 * q^9 - q^10 + 10 * q^12 - 10 * q^15 - 8 * q^16 - 30 * q^17 + 8 * q^18 - 13 * q^20 + 7 * q^21 + 7 * q^23 - 3 * q^24 - 12 * q^25 + 21 * q^26 + 11 * q^27 - 10 * q^29 - 18 * q^30 + 14 * q^31 + 8 * q^32 - 14 * q^33 - 33 * q^34 - q^36 - 44 * q^37 - 28 * q^38 - 14 * q^39 - 8 * q^40 + 7 * q^42 - 8 * q^43 + 14 * q^44 + 25 * q^45 - 6 * q^47 - 4 * q^48 + 27 * q^49 + 5 * q^50 + 24 * q^51 + 77 * q^53 + 10 * q^54 - 32 * q^55 + 10 * q^58 - 24 * q^59 + 4 * q^60 + 56 * q^61 - 8 * q^64 - 34 * q^65 + 42 * q^67 - 2 * q^68 + 28 * q^69 - 30 * q^71 + 22 * q^72 - 29 * q^73 + 44 * q^74 - 32 * q^75 - 28 * q^76 - 30 * q^77 + 14 * q^78 + q^80 - 130 * q^81 - 42 * q^82 - 42 * q^84 + 28 * q^85 - 62 * q^86 + 32 * q^87 + 31 * q^90 - 106 * q^91 - 7 * q^92 - 70 * q^93 + 27 * q^94 + 165 * q^95 + 4 * q^96 - 49 * q^97 - 27 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/290\mathbb{Z}\right)^\times$.

$n$	$31$	$117$
$\chi(n)$	$e\left(\frac{9}{14}\right)$	$-1$

Coefficient data

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

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

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

$2$	0.900969	+	0.433884i	0.637081	+	0.306802i
$2$	0.900969	+	0.433884i	0.637081	+	0.306802i
$3$	−0.581531	+	0.729217i	−0.335747	+	0.421014i	−0.920833	−	0.389958i	$-0.872490\pi$
$3$	−0.581531	+	0.729217i	−0.335747	+	0.421014i	0.585086	+	0.810972i	$0.301061\pi$
$4$	0.623490	+	0.781831i	0.311745	+	0.390916i
$5$	0.424505	−	2.19540i	0.189844	−	0.981814i
$5$	0.424505	−	2.19540i	0.189844	−	0.981814i
$6$	−0.840337	+	0.404685i	−0.343066	+	0.165212i
$7$	0.608556	+	0.485308i	0.230013	+	0.183429i	0.731714	−	0.681612i	$-0.238721\pi$
$7$	0.608556	+	0.485308i	0.230013	+	0.183429i	−0.501701	+	0.865041i	$0.667292\pi$
$8$	0.222521	+	0.974928i	0.0786730	+	0.344689i
$9$	0.473984	+	2.07666i	0.157995	+	0.692220i
$10$	1.33502	−	1.79380i	0.422169	−	0.567251i
$11$	6.14382	+	1.40229i	1.85243	+	0.422806i	0.995674	−	0.0929119i	$-0.0296175\pi$
$11$	6.14382	+	1.40229i	1.85243	+	0.422806i	0.856759	+	0.515718i	$0.172475\pi$
$12$	−0.932703			−0.269248
$13$	−1.16968	−	0.266972i	−0.324411	−	0.0740446i	0.0572141	−	0.998362i	$-0.481778\pi$
$13$	−1.16968	−	0.266972i	−0.324411	−	0.0740446i	−0.381625	+	0.924317i	$0.624635\pi$
$14$	0.337723	+	0.701290i	0.0902604	+	0.187428i
$15$	1.35406	+	1.58625i	0.349617	+	0.409568i
$16$	−0.222521	+	0.974928i	−0.0556302	+	0.243732i
$17$	−1.24981			−0.303122			−0.151561	−	0.988448i	$-0.548430\pi$
$17$	−1.24981			−0.303122			−0.151561	+	0.988448i	$0.548430\pi$
$18$	−0.473984	+	2.07666i	−0.111719	+	0.489473i
$19$	−0.369108	+	0.294354i	−0.0846792	+	0.0675294i	−0.664914	−	0.746920i	$-0.731532\pi$
$19$	−0.369108	+	0.294354i	−0.0846792	+	0.0675294i	0.580235	+	0.814449i	$0.302961\pi$
$20$	1.98111	−	1.03692i	0.442990	−	0.231862i
$21$	−0.707789	+	0.161548i	−0.154452	+	0.0352527i
$22$	4.92697	+	3.92912i	1.05043	+	0.837692i
$23$	−1.37875	−	2.86300i	−0.287489	−	0.596978i	0.706343	−	0.707870i	$-0.250344\pi$
$23$	−1.37875	−	2.86300i	−0.287489	−	0.596978i	−0.993832	+	0.110892i	$0.964629\pi$
$24$	−0.840337	−	0.404685i	−0.171533	−	0.0826059i
$25$	−4.63959	−	1.86392i	−0.927918	−	0.372784i
$26$	−0.938010	−	0.748038i	−0.183959	−	0.146702i
$27$	−4.31098	−	2.07606i	−0.829649	−	0.399538i
$28$			0.778373i			0.147099i
$29$	−3.19922	+	4.33185i	−0.594081	+	0.804405i
$29$	−3.19922	+	4.33185i	−0.594081	+	0.804405i
$30$	0.531719	+	2.01667i	0.0970782	+	0.368192i
$31$	3.12251	−	6.48396i	0.560820	−	1.16455i	−0.407121	−	0.913374i	$-0.633467\pi$
$31$	3.12251	−	6.48396i	0.560820	−	1.16455i	0.967940	−	0.251180i	$-0.0808185\pi$
$32$	−0.623490	+	0.781831i	−0.110218	+	0.138210i
$33$	−4.59540	+	3.66471i	−0.799956	+	0.637944i
$34$	−1.12604	−	0.542270i	−0.193114	−	0.0929986i
$35$	1.32378	−	1.13001i	0.223760	−	0.191007i
$36$	−1.32807	+	1.66535i	−0.221346	+	0.277559i
$37$	−0.391015	−	1.71315i	−0.0642825	−	0.281640i	0.932563	−	0.361007i	$-0.117567\pi$
$37$	−0.391015	−	1.71315i	−0.0642825	−	0.281640i	−0.996845	+	0.0793674i	$0.974710\pi$
$38$	−0.460270	+	0.105054i	−0.0746657	+	0.0170419i
$39$	0.874885	−	0.697698i	0.140094	−	0.111721i
$40$	2.23482	−	0.0746612i	0.353356	−	0.0118050i
$41$			2.37406i			0.370766i	0.982666	+	0.185383i	$0.0593526\pi$
$41$			2.37406i			0.370766i	−0.982666	+	0.185383i	$0.940647\pi$
$42$	−0.707789	−	0.161548i	−0.109214	−	0.0249274i
$43$	−2.34116	+	1.12744i	−0.357024	+	0.171933i	−0.603794	−	0.797141i	$-0.706345\pi$
$43$	−2.34116	+	1.12744i	−0.357024	+	0.171933i	0.246770	+	0.969074i	$0.420631\pi$
$44$	2.73426	+	5.67775i	0.412205	+	0.855953i
$45$	4.76031	−	0.159033i	0.709626	−	0.0237073i
$46$		−	3.17770i		−	0.468526i
$47$	1.94638	−	8.52763i	0.283908	−	1.24388i	−0.608827	−	0.793303i	$-0.708360\pi$
$47$	1.94638	−	8.52763i	0.283908	−	1.24388i	0.892736	−	0.450581i	$-0.148783\pi$
$48$	−0.581531	−	0.729217i	−0.0839368	−	0.105253i
$49$	−1.42283	−	6.23382i	−0.203261	−	0.890546i
$50$	−3.37140	−	3.69238i	−0.476788	−	0.522181i
$51$	0.726801	−	0.911380i	0.101772	−	0.127619i
$52$	−0.520556	−	1.08095i	−0.0721882	−	0.149900i
$53$	−1.59298	+	3.30786i	−0.218813	+	0.454370i	−0.981262	−	0.192679i	$-0.938283\pi$
$53$	−1.59298	+	3.30786i	−0.218813	+	0.454370i	0.762449	+	0.647048i	$0.223997\pi$
$54$	−2.98329	−	3.74093i	−0.405975	−	0.509076i
$55$	5.68667	−	12.8929i	0.766791	−	1.73848i
$56$	−0.337723	+	0.701290i	−0.0451302	+	0.0937138i
$57$		−	0.440336i		−	0.0583239i
$58$	−4.76192	+	2.51478i	−0.625271	+	0.330206i
$59$	−6.85833			−0.892879			−0.446439	−	0.894814i	$-0.647308\pi$
$59$	−6.85833			−0.892879			−0.446439	+	0.894814i	$0.647308\pi$
$60$	−0.395937	+	2.04766i	−0.0511153	+	0.264352i
$61$	−6.29607	−	5.02095i	−0.806129	−	0.642866i	0.131183	−	0.991358i	$-0.458123\pi$
$61$	−6.29607	−	5.02095i	−0.806129	−	0.642866i	−0.937312	+	0.348492i	$0.886694\pi$
$62$	5.62657	−	4.48704i	0.714575	−	0.569855i
$63$	−0.719372	+	1.49379i	−0.0906324	+	0.188200i
$64$	−0.900969	+	0.433884i	−0.112621	+	0.0542355i
$65$	−1.08265	+	2.45459i	−0.134286	+	0.304454i
$66$	−5.73037	+	1.30792i	−0.705359	+	0.160994i
$67$	13.0109	−	2.96966i	1.58954	−	0.362801i	0.665891	−	0.746049i	$-0.268052\pi$
$67$	13.0109	−	2.96966i	1.58954	−	0.362801i	0.923645	+	0.383248i	$0.125195\pi$
$68$	−0.779241	−	0.977138i	−0.0944969	−	0.118495i
$69$	2.88954	+	0.659518i	0.347859	+	0.0793966i
$70$	1.68298	−	0.443738i	0.201154	−	0.0530368i
$71$	−0.767595	+	3.36306i	−0.0910968	+	0.399121i	−0.999833	−	0.0182487i	$-0.994191\pi$
$71$	−0.767595	+	3.36306i	−0.0910968	+	0.399121i	0.908737	+	0.417370i	$0.137048\pi$
$72$	−1.91912	+	0.924200i	−0.226171	+	0.108918i
$73$	−8.93897	+	4.30478i	−1.04623	+	0.503836i	−0.876373	−	0.481633i	$-0.840044\pi$
$73$	−8.93897	+	4.30478i	−1.04623	+	0.503836i	−0.169854	+	0.985469i	$0.554330\pi$
$74$	0.391015	−	1.71315i	0.0454546	−	0.199150i
$75$	4.05727	−	2.29934i	0.468493	−	0.265505i
$76$	−0.460270	−	0.105054i	−0.0527966	−	0.0120505i
$77$	3.05832	+	3.83502i	0.348528	+	0.437041i
$78$	1.09096	−	0.249005i	0.123527	−	0.0281943i
$79$	−4.59089	+	1.04784i	−0.516516	+	0.117891i	−0.472829	−	0.881154i	$-0.656767\pi$
$79$	−4.59089	+	1.04784i	−0.516516	+	0.117891i	−0.0436862	+	0.999045i	$0.513910\pi$
$80$	2.04590	+	0.902385i	0.228738	+	0.100890i
$81$	−1.73650	+	0.836254i	−0.192944	+	0.0929171i
$82$	−1.03007	+	2.13895i	−0.113752	+	0.236208i
$83$	−8.49037	+	6.77085i	−0.931940	+	0.743197i	−0.966623	−	0.256201i	$-0.917529\pi$
$83$	−8.49037	+	6.77085i	−0.931940	+	0.743197i	0.0346838	+	0.999398i	$0.488958\pi$
$84$	−0.567603	−	0.452648i	−0.0619305	−	0.0493879i
$85$	−0.530549	+	2.74383i	−0.0575461	+	0.297610i
$86$	−2.59849			−0.280203
$87$	−1.29841	−	4.85204i	−0.139205	−	0.520193i
$88$			6.30182i			0.671777i
$89$	0.363551	−	0.754922i	0.0385364	−	0.0800216i	−0.880812	−	0.473466i	$-0.843003\pi$
$89$	0.363551	−	0.754922i	0.0385364	−	0.0800216i	0.919348	+	0.393445i	$0.128717\pi$
$90$	4.35790	+	1.92214i	0.459363	+	0.202611i
$91$	−0.582253	−	0.730122i	−0.0610366	−	0.0765375i
$92$	1.37875	−	2.86300i	0.143745	−	0.298489i
$93$	2.91238	+	6.04761i	0.301999	+	0.627108i
$94$	5.45363	−	6.83863i	0.562499	−	0.705351i
$95$	0.489537	+	0.935295i	0.0502254	+	0.0959593i
$96$	−0.207546	−	0.909319i	−0.0211826	−	0.0928069i
$97$	7.96210	+	9.98415i	0.808429	+	1.01374i	0.999483	+	0.0321578i	$0.0102379\pi$
$97$	7.96210	+	9.98415i	0.808429	+	1.01374i	−0.191054	+	0.981579i	$0.561191\pi$
$98$	1.42283	−	6.23382i	0.143727	−	0.629711i
$99$			13.4233i			1.34909i
$100$	−1.43547	−	4.78951i	−0.143547	−	0.478951i
$101$	−4.01558	−	8.33845i	−0.399566	−	0.829707i	−0.999559	−	0.0297015i	$-0.990544\pi$
$101$	−4.01558	−	8.33845i	−0.399566	−	0.829707i	0.599993	−	0.800005i	$-0.295170\pi$
$102$	1.05026	−	0.505777i	0.103991	−	0.0500794i
$103$	12.2017	+	2.78496i	1.20227	+	0.274410i	0.776321	−	0.630338i	$-0.217084\pi$
$103$	12.2017	+	2.78496i	1.20227	+	0.274410i	0.425948	+	0.904748i	$0.359941\pi$
$104$		−	1.19976i		−	0.117646i
$105$	0.0542034	+	1.62246i	0.00528971	+	0.158336i
$106$	−2.87045	+	2.28911i	−0.278803	+	0.222338i
$107$	−17.1202	+	3.90758i	−1.65508	+	0.377760i	−0.945181	−	0.326548i	$-0.894115\pi$
$107$	−17.1202	+	3.90758i	−1.65508	+	0.377760i	−0.709894	+	0.704308i	$0.751257\pi$
$108$	−1.06472	−	4.66486i	−0.102453	−	0.448877i
$109$	0.0275861	−	0.0345918i	0.00264226	−	0.00331330i	−0.780509	−	0.625145i	$-0.785040\pi$
$109$	0.0275861	−	0.0345918i	0.00264226	−	0.00331330i	0.783151	+	0.621832i	$0.213611\pi$
$110$	10.7175	−	9.14874i	1.02188	−	0.872298i
$111$	1.47664	+	0.711115i	0.140157	+	0.0674960i
$112$	−0.608556	+	0.485308i	−0.0575032	+	0.0458573i
$113$	4.91028	−	6.15729i	0.461920	−	0.579229i	−0.495252	−	0.868749i	$-0.664924\pi$
$113$	4.91028	−	6.15729i	0.461920	−	0.579229i	0.957172	+	0.289520i	$0.0934957\pi$
$114$	0.191054	−	0.396729i	0.0178939	−	0.0371570i
$115$	−6.87074	+	1.81155i	−0.640699	+	0.168928i
$116$	−5.38146	+	0.199613i	−0.499656	+	0.0185336i
$117$		−	2.55557i		−	0.236262i
$118$	−6.17914	−	2.97572i	−0.568836	−	0.273937i
$119$	−0.760577	−	0.606540i	−0.0697220	−	0.0556015i
$120$	−1.24517	+	1.67309i	−0.113668	+	0.152731i
$121$	25.8695	+	12.4581i	2.35177	+	1.13255i
$122$	−3.49405	−	7.25548i	−0.316337	−	0.656880i
$123$	−1.73120	−	1.38059i	−0.156097	−	0.124484i
$124$	7.01622	−	1.60141i	0.630075	−	0.143811i
$125$	−6.06159	+	9.39453i	−0.542165	+	0.840272i
$126$	−1.29626	+	1.03374i	−0.115480	+	0.0920926i
$127$	2.72230	−	11.9272i	0.241565	−	1.05837i	−0.698028	−	0.716071i	$-0.745939\pi$
$127$	2.72230	−	11.9272i	0.241565	−	1.05837i	0.939593	−	0.342295i	$-0.111204\pi$
$128$	−1.00000			−0.0883883
$129$	0.539307	−	2.36286i	0.0474833	−	0.208038i
$130$	−2.04044	+	1.74176i	−0.178958	+	0.152763i
$131$	0.625376	+	1.29861i	0.0546394	+	0.113460i	0.926501	−	0.376293i	$-0.122801\pi$
$131$	0.625376	+	1.29861i	0.0546394	+	0.113460i	−0.871861	+	0.489753i	$0.837087\pi$
$132$	−5.73037	−	1.30792i	−0.498764	−	0.113840i
$133$	−0.367475			−0.0318641
$134$	13.0109	+	2.96966i	1.12397	+	0.256539i
$135$	−6.38782	+	8.58304i	−0.549776	+	0.738711i
$136$	−0.278108	−	1.21847i	−0.0238476	−	0.104483i
$137$	2.56370	+	11.2323i	0.219031	+	0.959640i	0.958196	+	0.286114i	$0.0923637\pi$
$137$	2.56370	+	11.2323i	0.219031	+	0.959640i	−0.739164	+	0.673525i	$0.764779\pi$
$138$	2.31723	+	1.84793i	0.197256	+	0.157306i
$139$	19.5102	−	9.39561i	1.65483	−	0.796925i	0.655712	−	0.755011i	$-0.272369\pi$
$139$	19.5102	−	9.39561i	1.65483	−	0.796925i	0.999121	−	0.0419140i	$-0.0133455\pi$
$140$	1.70884	+	0.330423i	0.144424	+	0.0279259i
$141$	5.08662	+	6.37841i	0.428370	+	0.537159i
$142$	−2.15075	+	2.69696i	−0.180487	+	0.226324i
$143$	−6.81193	−	3.28045i	−0.569643	−	0.274325i
$144$	−2.13006			−0.177505
$145$	8.15208	+	8.86248i	0.676993	+	0.735989i
$146$	−9.92151			−0.821110
$147$	5.37323	+	2.58761i	0.443176	+	0.213422i
$148$	1.09560	−	1.37384i	0.0900578	−	0.112929i
$149$	−8.08694	−	10.1407i	−0.662508	−	0.830759i	0.331106	−	0.943594i	$-0.392578\pi$
$149$	−8.08694	−	10.1407i	−0.662508	−	0.830759i	−0.993614	+	0.112835i	$0.964007\pi$
$150$	4.65312	−	0.311251i	0.379926	−	0.0254136i
$151$	3.02574	−	1.45712i	0.246231	−	0.118579i	−0.306698	−	0.951807i	$-0.599224\pi$
$151$	3.02574	−	1.45712i	0.246231	−	0.118579i	0.552929	+	0.833228i	$0.313510\pi$
$152$	−0.369108	−	0.294354i	−0.0299386	−	0.0238752i
$153$	−0.592388	−	2.59542i	−0.0478917	−	0.209827i
$154$	1.09150	+	4.78219i	0.0879558	+	0.385360i
$155$	−12.9094	−	9.60765i	−1.03691	−	0.771705i
$156$	1.09096	+	0.249005i	0.0873470	+	0.0199364i
$157$	−21.8135			−1.74091			−0.870455	−	0.492248i	$-0.836175\pi$
$157$	−21.8135			−1.74091			−0.870455	+	0.492248i	$0.836175\pi$
$158$	−4.59089	−	1.04784i	−0.365232	−	0.0833618i
$159$	−1.48578	−	3.08525i	−0.117830	−	0.244677i
$160$	1.45176	+	1.70070i	0.114772	+	0.134452i
$161$	0.550390	−	2.41142i	0.0433768	−	0.190046i
$162$	−1.92737			−0.151428
$163$	0.681296	−	2.98495i	0.0533632	−	0.233799i	−0.941212	−	0.337815i	$-0.890312\pi$
$163$	0.681296	−	2.98495i	0.0533632	−	0.233799i	0.994576	+	0.104016i	$0.0331693\pi$
$164$	−1.85612	+	1.48020i	−0.144938	+	0.115584i
$165$	6.09474	+	11.6444i	0.474475	+	0.906518i
$166$	−10.5873	+	2.41649i	−0.821736	+	0.187556i
$167$	15.8082	+	12.6066i	1.22327	+	0.975528i	1.00000		0.000772822i	$0.000245997\pi$
$167$	15.8082	+	12.6066i	1.22327	+	0.975528i	0.223274	+	0.974756i	$0.428325\pi$
$168$	−0.314996	−	0.654095i	−0.0243024	−	0.0504645i
$169$	−10.4157	−	5.01595i	−0.801209	−	0.385842i
$170$	−1.66851	+	2.24191i	−0.127969	+	0.171946i
$171$	−0.786224	−	0.626992i	−0.0601240	−	0.0479473i
$172$	−2.34116	−	1.12744i	−0.178512	−	0.0859667i
$173$			16.6565i			1.26637i	0.774002	+	0.633184i	$0.218252\pi$
$173$			16.6565i			1.26637i	−0.774002	+	0.633184i	$0.781748\pi$
$174$	0.935389	−	4.93489i	0.0709117	−	0.374113i
$175$	−1.91888	−	3.38593i	−0.145054	−	0.255952i
$176$	−2.73426	+	5.67775i	−0.206103	+	0.427976i
$177$	3.98833	−	5.00121i	0.299781	−	0.375914i
$178$	0.655097	−	0.522422i	0.0491016	−	0.0391572i
$179$	17.9495	+	8.64405i	1.34161	+	0.646086i	0.960458	−	0.278425i	$-0.0898124\pi$
$179$	17.9495	+	8.64405i	1.34161	+	0.646086i	0.381154	+	0.924512i	$0.375527\pi$
$180$	3.09234	+	3.62261i	0.230490	+	0.270013i
$181$	11.7266	−	14.7047i	0.871633	−	1.09299i	−0.123292	−	0.992370i	$-0.539345\pi$
$181$	11.7266	−	14.7047i	0.871633	−	1.09299i	0.994925	−	0.100622i	$-0.0320834\pi$
$182$	−0.207804	−	0.910447i	−0.0154034	−	0.0674868i
$183$	7.32272	−	1.67136i	0.541311	−	0.123551i
$184$	2.48442	−	1.98126i	0.183154	−	0.146060i
$185$	−3.92704	+	0.131195i	−0.288722	+	0.00964566i
$186$			6.71234i			0.492173i
$187$	−7.67859	−	1.75259i	−0.561514	−	0.128162i
$188$	7.88072	−	3.79515i	0.574760	−	0.276790i
$189$	−1.61595	−	3.35555i	−0.117543	−	0.244080i
$190$	0.0352481	+	1.05507i	0.00255716	+	0.0765431i
$191$		−	4.25718i		−	0.308039i	−0.988068	−	0.154019i	$-0.950778\pi$
$191$		−	4.25718i		−	0.308039i	0.988068	−	0.154019i	$-0.0492218\pi$
$192$	0.207546	−	0.909319i	0.0149783	−	0.0656244i
$193$	5.20944	+	6.53243i	0.374983	+	0.470214i	0.933136	−	0.359524i	$-0.117061\pi$
$193$	5.20944	+	6.53243i	0.374983	+	0.470214i	−0.558152	+	0.829738i	$0.688490\pi$
$194$	2.84164	+	12.4500i	0.204018	+	0.893861i
$195$	−1.16033	−	2.21690i	−0.0830933	−	0.158756i
$196$	3.98668	−	4.99914i	0.284763	−	0.357081i
$197$	9.93101	+	20.6220i	0.707555	+	1.46925i	0.875379	+	0.483437i	$0.160612\pi$
$197$	9.93101	+	20.6220i	0.707555	+	1.46925i	−0.167824	+	0.985817i	$0.553674\pi$
$198$	−5.82415	+	12.0940i	−0.413904	+	0.859481i
$199$	9.61008	+	12.0507i	0.681241	+	0.854249i	0.995468	−	0.0950991i	$-0.0303168\pi$
$199$	9.61008	+	12.0507i	0.681241	+	0.854249i	−0.314227	+	0.949348i	$0.601745\pi$
$200$	0.784782	−	4.93803i	0.0554924	−	0.349171i
$201$	−5.40073	+	11.2147i	−0.380938	+	0.791026i
$202$		−	9.25498i		−	0.651178i
$203$	−4.04919	+	1.08357i	−0.284197	+	0.0760517i
$204$	1.16570			0.0816152
$205$	5.21202	+	1.00780i	0.364023	+	0.0703879i
$206$	9.78500	+	7.80328i	0.681753	+	0.543680i
$207$	5.29198	−	4.22021i	0.367818	−	0.293325i
$208$	0.520556	−	1.08095i	0.0360941	−	0.0749501i
$209$	−2.68050	+	1.29086i	−0.185414	+	0.0892908i
$210$	−0.655123	+	1.48530i	−0.0452078	+	0.102496i
$211$	1.42633	−	0.325551i	0.0981929	−	0.0224119i	−0.173142	−	0.984897i	$-0.555392\pi$
$211$	1.42633	−	0.325551i	0.0981929	−	0.0224119i	0.271335	+	0.962485i	$0.412535\pi$
$212$	−3.57940	+	0.816974i	−0.245834	+	0.0561100i
$213$	−2.00602	−	2.51546i	−0.137450	−	0.172357i
$214$	−17.1202	−	3.90758i	−1.17031	−	0.267117i
$215$	1.48136	+	5.61840i	0.101028	+	0.383171i
$216$	1.06472	−	4.66486i	0.0724453	−	0.317404i
$217$	5.04694	−	2.43048i	0.342609	−	0.164992i
$218$	0.0398630	−	0.0191970i	0.00269986	−	0.00130019i
$219$	2.05917	−	9.02181i	0.139146	−	0.609637i
$220$	13.6257	−	3.59257i	0.918641	−	0.242211i
$221$	1.46187	+	0.333663i	0.0983362	+	0.0224446i
$222$	1.02187	+	1.28138i	0.0685834	+	0.0860009i
$223$	11.1650	−	2.54834i	0.747664	−	0.170650i	0.168320	−	0.985732i	$-0.446166\pi$
$223$	11.1650	−	2.54834i	0.747664	−	0.170650i	0.579344	+	0.815083i	$0.303309\pi$
$224$	−0.758857	+	0.173204i	−0.0507033	+	0.0115727i
$225$	1.67164	−	10.5183i	0.111442	−	0.701221i
$226$	7.09555	−	3.41704i	0.471989	−	0.227298i
$227$	−2.77550	+	5.76339i	−0.184217	+	0.382530i	−0.972542	−	0.232730i	$-0.925234\pi$
$227$	−2.77550	+	5.76339i	−0.184217	+	0.382530i	0.788325	+	0.615259i	$0.210949\pi$
$228$	0.344268	−	0.274545i	0.0227997	−	0.0181822i
$229$	−17.5892	−	14.0269i	−1.16233	−	0.926924i	−0.164099	−	0.986444i	$-0.552472\pi$
$229$	−17.5892	−	14.0269i	−1.16233	−	0.926924i	−0.998227	+	0.0595197i	$0.981043\pi$
$230$	−6.97632	−	1.34895i	−0.460005	−	0.0889470i
$231$	−4.57507			−0.301017
$232$	−4.93514	−	2.15508i	−0.324008	−	0.141488i
$233$		−	22.4898i		−	1.47336i	−0.676244	−	0.736678i	$-0.736393\pi$
$233$		−	22.4898i		−	1.47336i	0.676244	−	0.736678i	$-0.263607\pi$
$234$	1.10882	−	2.30249i	0.0724857	−	0.150518i
$235$	−17.8953	−	7.89311i	−1.16736	−	0.514890i
$236$	−4.27610	−	5.36206i	−0.278350	−	0.349040i
$237$	1.90564	−	3.95711i	0.123785	−	0.257042i
$238$	−0.422089	−	0.876476i	−0.0273599	−	0.0568135i
$239$	−4.14221	+	5.19417i	−0.267938	+	0.335983i	−0.897539	−	0.440935i	$-0.854647\pi$
$239$	−4.14221	+	5.19417i	−0.267938	+	0.335983i	0.629601	+	0.776918i	$0.283218\pi$
$240$	−1.84779	+	0.967139i	−0.119274	+	0.0624285i
$241$	3.15571	+	13.8261i	0.203277	+	0.890614i	0.968925	+	0.247355i	$0.0795613\pi$
$241$	3.15571	+	13.8261i	0.203277	+	0.890614i	−0.765648	+	0.643260i	$0.777582\pi$
$242$	17.9023	+	22.4487i	1.15080	+	1.44306i
$243$	3.59419	−	15.7472i	0.230567	−	1.01018i
$244$		−	8.05297i		−	0.515539i
$245$	−14.2897	+	0.477394i	−0.912939	+	0.0304996i
$246$	−0.960746	−	1.99501i	−0.0612549	−	0.127197i
$247$	0.510322	−	0.245758i	0.0324710	−	0.0156372i
$248$	7.01622	+	1.60141i	0.445530	+	0.101689i
$249$		−	10.1288i		−	0.641885i
$250$	−9.53743	+	5.83415i	−0.603200	+	0.368984i
$251$	−12.0636	+	9.62043i	−0.761450	+	0.607236i	−0.925294	−	0.379250i	$-0.876182\pi$
$251$	−12.0636	+	9.62043i	−0.761450	+	0.607236i	0.163844	+	0.986486i	$0.447611\pi$
$252$	−1.61642	+	0.368936i	−0.101825	+	0.0232408i
$253$	−4.45604	−	19.5232i	−0.280149	−	1.22741i
$254$	7.62771	−	9.56485i	0.478605	−	0.600152i
$255$	−1.69231	−	1.98251i	−0.105977	−	0.124149i
$256$	−0.900969	−	0.433884i	−0.0563106	−	0.0271177i
$257$	2.92764	−	2.33472i	0.182621	−	0.145636i	−0.527912	−	0.849299i	$-0.677025\pi$
$257$	2.92764	−	2.33472i	0.182621	−	0.145636i	0.710534	+	0.703663i	$0.248454\pi$
$258$	1.51110	−	1.89486i	0.0940772	−	0.117969i
$259$	0.593450	−	1.23231i	0.0368752	−	0.0765721i
$260$	−2.59409	+	0.683964i	−0.160879	+	0.0424176i
$261$	−10.5122	−	4.59047i	−0.650687	−	0.284143i
$262$			1.44135i			0.0890466i
$263$	1.42839	+	0.687876i	0.0880783	+	0.0424163i	0.477404	−	0.878684i	$-0.341578\pi$
$263$	1.42839	+	0.687876i	0.0880783	+	0.0424163i	−0.389326	+	0.921100i	$0.627292\pi$
$264$	−4.59540	−	3.66471i	−0.282827	−	0.225547i
$265$	6.58586	+	4.90144i	0.404566	+	0.301093i
$266$	−0.331084	−	0.159441i	−0.0203000	−	0.00977598i
$267$	0.339086	+	0.704118i	0.0207517	+	0.0430913i
$268$	10.4339	+	8.32079i	0.637354	+	0.508273i
$269$	−16.3246	+	3.72599i	−0.995329	+	0.227177i	−0.689010	−	0.724751i	$-0.741955\pi$
$269$	−16.3246	+	3.72599i	−0.995329	+	0.227177i	−0.306319	+	0.951929i	$0.599097\pi$
$270$	−9.47927	+	4.96148i	−0.576890	+	0.301946i
$271$	13.4365	−	10.7153i	0.816212	−	0.650907i	−0.123702	−	0.992319i	$-0.539477\pi$
$271$	13.4365	−	10.7153i	0.816212	−	0.650907i	0.939914	+	0.341412i	$0.110905\pi$
$272$	0.278108	−	1.21847i	0.0168628	−	0.0738806i
$273$	0.871015			0.0527162
$274$	−2.56370	+	11.2323i	−0.154879	+	0.678568i
$275$	−25.8911	−	17.9576i	−1.56129	−	1.08289i
$276$	1.28597	+	2.67033i	0.0774060	+	0.160735i
$277$	−27.1745	−	6.20241i	−1.63276	−	0.372667i	−0.694744	−	0.719258i	$-0.744482\pi$
$277$	−27.1745	−	6.20241i	−1.63276	−	0.372667i	−0.938016	+	0.346591i	$0.887339\pi$
$278$	21.6547			1.29876
$279$	14.9450	+	3.41110i	0.894734	+	0.204217i
$280$	1.39625	+	1.03914i	0.0834418	+	0.0621005i
$281$	2.10244	+	9.21138i	0.125421	+	0.549505i	0.998122	+	0.0612507i	$0.0195089\pi$
$281$	2.10244	+	9.21138i	0.125421	+	0.549505i	−0.872702	+	0.488254i	$0.837634\pi$
$282$	1.81539	+	7.95375i	0.108105	+	0.473639i
$283$	6.25006	+	4.98426i	0.371528	+	0.296283i	0.791399	−	0.611300i	$-0.209353\pi$
$283$	6.25006	+	4.98426i	0.371528	+	0.296283i	−0.419871	+	0.907584i	$0.637925\pi$
$284$	−3.10793	+	1.49670i	−0.184422	+	0.0888128i
$285$	−0.966714	−	0.186925i	−0.0572632	−	0.0110725i
$286$	−4.71400	−	5.91117i	−0.278745	−	0.349535i
$287$	−1.15215	+	1.44475i	−0.0680092	+	0.0852809i
$288$	−1.91912	−	0.924200i	−0.113085	−	0.0544590i
$289$	−15.4380			−0.908117
$290$	3.49948	+	11.5219i	0.205497	+	0.676588i
$291$	−11.9108			−0.698225
$292$	−8.93897	−	4.30478i	−0.523114	−	0.251918i
$293$	18.1648	−	22.7779i	1.06120	−	1.33070i	0.120028	−	0.992771i	$-0.461702\pi$
$293$	18.1648	−	22.7779i	1.06120	−	1.33070i	0.941171	−	0.337931i	$-0.109727\pi$
$294$	3.71839	+	4.66271i	0.216861	+	0.271935i
$295$	−2.91140	+	15.0568i	−0.169508	+	0.876641i
$296$	1.58319	−	0.762423i	0.0920209	−	0.0443149i
$297$	−23.5747	−	18.8002i	−1.36794	−	1.09090i
$298$	−2.88620	−	12.6453i	−0.167193	−	0.732520i
$299$	0.848355	+	3.71688i	0.0490616	+	0.214953i
$300$	4.32736	+	1.73848i	0.249840	+	0.100371i
$301$	−1.97188	−	0.450070i	−0.113658	−	0.0259416i
$302$	3.35832			0.193250
$303$	8.41572	+	1.92083i	0.483471	+	0.110349i
$304$	−0.204839	−	0.425353i	−0.0117483	−	0.0243957i
$305$	−13.6957	+	11.6910i	−0.784215	+	0.669424i
$306$	0.592388	−	2.59542i	0.0338646	−	0.148370i
$307$	−19.9647			−1.13944			−0.569722	−	0.821837i	$-0.692949\pi$
$307$	−19.9647			−1.13944			−0.569722	+	0.821837i	$0.692949\pi$
$308$	−1.09150	+	4.78219i	−0.0621942	+	0.272490i
$309$	−9.12650	+	7.27814i	−0.519189	+	0.414039i
$310$	−7.46236	−	14.2574i	−0.423833	−	0.809764i
$311$	−9.46330	+	2.15994i	−0.536614	+	0.122479i	−0.482235	−	0.876042i	$-0.660175\pi$
$311$	−9.46330	+	2.15994i	−0.536614	+	0.122479i	−0.0543789	+	0.998520i	$0.517318\pi$
$312$	0.874885	+	0.697698i	0.0495306	+	0.0394993i
$313$	−3.30117	−	6.85495i	−0.186593	−	0.387465i	0.786597	−	0.617467i	$-0.211841\pi$
$313$	−3.30117	−	6.85495i	−0.186593	−	0.387465i	−0.973190	+	0.230002i	$0.926127\pi$
$314$	−19.6533	−	9.46454i	−1.10910	−	0.534115i
$315$	2.97410	+	2.21344i	0.167572	+	0.124713i
$316$	−3.68161	−	2.93599i	−0.207107	−	0.165162i
$317$	19.9219	+	9.59386i	1.11892	+	0.538845i	0.899559	−	0.436798i	$-0.143888\pi$
$317$	19.9219	+	9.59386i	1.11892	+	0.538845i	0.219363	+	0.975643i	$0.429602\pi$
$318$		−	3.42437i		−	0.192029i
$319$	−25.7300	+	22.1279i	−1.44060	+	1.23893i
$320$	0.570084	+	2.16218i	0.0318687	+	0.120869i
$321$	7.10647	−	14.7567i	0.396645	−	0.823641i
$322$	1.54216	−	1.93381i	0.0859412	−	0.107767i
$323$	0.461313	−	0.367885i	0.0256682	−	0.0204697i
$324$	−1.73650	−	0.836254i	−0.0964721	−	0.0464585i
$325$	4.92922	+	3.41883i	0.273424	+	0.189642i
$326$	1.90895	−	2.39374i	0.105727	−	0.132577i
$327$	0.00918279	+	0.0402324i	0.000507809	+	0.00222486i
$328$	−2.31454	+	0.528278i	−0.127799	+	0.0291693i
$329$	5.32301	−	4.24496i	0.293467	−	0.234032i
$330$	0.438839	+	13.1357i	0.0241573	+	0.723096i
$331$		−	19.4691i		−	1.07012i	−0.844814	−	0.535060i	$-0.820289\pi$
$331$		−	19.4691i		−	1.07012i	0.844814	−	0.535060i	$-0.179711\pi$
$332$	−10.5873	−	2.41649i	−0.581055	−	0.132622i
$333$	3.37229	−	1.62401i	0.184800	−	0.0889952i
$334$	8.77288	+	18.2171i	0.480031	+	0.996794i
$335$	−0.996392	−	29.8248i	−0.0544387	−	1.62950i
$336$		−	0.725991i		−	0.0396061i
$337$	3.33947	−	14.6312i	0.181912	−	0.797010i	−0.798807	−	0.601588i	$-0.794535\pi$
$337$	3.33947	−	14.6312i	0.181912	−	0.797010i	0.980719	−	0.195423i	$-0.0626078\pi$
$338$	−7.20790	−	9.03842i	−0.392058	−	0.491625i
$339$	1.63452	+	7.16131i	0.0887751	+	0.388949i
$340$	−2.47600	+	1.29595i	−0.134280	+	0.0702827i
$341$	28.2765	−	35.4577i	1.53126	−	1.92014i
$342$	−0.436321	−	0.906030i	−0.0235935	−	0.0489925i
$343$	4.52351	−	9.39317i	0.244247	−	0.507184i
$344$	−1.62013	−	2.03158i	−0.0873517	−	0.109536i
$345$	2.67453	−	6.06373i	0.143992	−	0.326460i
$346$	−7.22697	+	15.0070i	−0.388524	+	0.806779i
$347$			13.7194i			0.736496i	0.929728	+	0.368248i	$0.120042\pi$
$347$			13.7194i			0.736496i	−0.929728	+	0.368248i	$0.879958\pi$
$348$	2.98393	−	4.04034i	0.159955	−	0.216585i
$349$	15.4292			0.825909			0.412954	−	0.910752i	$-0.364497\pi$
$349$	15.4292			0.825909			0.412954	+	0.910752i	$0.364497\pi$
$350$	−0.259750	−	3.88319i	−0.0138842	−	0.207565i
$351$	4.48822	+	3.57923i	0.239563	+	0.191045i
$352$	−4.92697	+	3.92912i	−0.262608	+	0.209423i
$353$	−4.94842	+	10.2755i	−0.263378	+	0.546910i	−0.990157	−	0.139962i	$-0.955302\pi$
$353$	−4.94842	+	10.2755i	−0.263378	+	0.546910i	0.726779	+	0.686871i	$0.241016\pi$
$354$	5.76331	−	2.77546i	0.306316	−	0.147514i
$355$	7.05741	+	3.11282i	0.374569	+	0.165211i
$356$	0.816892	−	0.186450i	0.0432952	−	0.00988185i
$357$	0.884599	−	0.201904i	0.0468179	−	0.0106859i
$358$	12.4215	+	15.5760i	0.656495	+	0.823219i
$359$	28.0920	+	6.41183i	1.48264	+	0.338403i	0.885842	−	0.463987i	$-0.153582\pi$
$359$	28.0920	+	6.41183i	1.48264	+	0.338403i	0.596800	+	0.802390i	$0.296439\pi$
$360$	1.21432	+	4.60557i	0.0640000	+	0.242735i
$361$	−4.17830	+	18.3063i	−0.219911	+	0.963491i
$362$	16.9455	−	8.16050i	0.890633	−	0.428906i
$363$	−24.1286	+	11.6197i	−1.26642	+	0.609877i
$364$	0.207804	−	0.910447i	0.0108919	−	0.0477204i
$365$	5.65609	+	21.4520i	0.296053	+	1.12285i
$366$	7.32272	+	1.67136i	0.382765	+	0.0873635i
$367$	−6.37955	−	7.99970i	−0.333010	−	0.417581i	0.586932	−	0.809636i	$-0.300336\pi$
$367$	−6.37955	−	7.99970i	−0.333010	−	0.417581i	−0.919942	+	0.392055i	$0.871764\pi$
$368$	3.09802	−	0.707104i	0.161496	−	0.0368603i
$369$	−4.93011	+	1.12527i	−0.256652	+	0.0585790i
$370$	−3.59507	−	1.58568i	−0.186899	−	0.0824354i
$371$	−2.57475	+	1.23993i	−0.133674	+	0.0643742i
$372$	−2.91238	+	6.04761i	−0.151000	+	0.313554i
$373$	21.0964	−	16.8238i	1.09233	−	0.871104i	0.100032	−	0.994984i	$-0.468105\pi$
$373$	21.0964	−	16.8238i	1.09233	−	0.871104i	0.992297	+	0.123881i	$0.0395340\pi$
$374$	−6.15775	−	4.91064i	−0.318410	−	0.253923i
$375$	−3.32565	−	9.88342i	−0.171736	−	0.510378i
$376$	8.74694			0.451089
$377$	4.89855	−	4.21278i	0.252288	−	0.216969i
$378$		−	3.72438i		−	0.191561i
$379$	8.43562	−	17.5167i	0.433309	−	0.899775i	−0.563952	−	0.825807i	$-0.690720\pi$
$379$	8.43562	−	17.5167i	0.433309	−	0.899775i	0.997261	−	0.0739670i	$-0.0235660\pi$
$380$	−0.426022	+	0.965882i	−0.0218545	+	0.0495487i
$381$	7.11440	+	8.92117i	0.364482	+	0.457045i
$382$	1.84712	−	3.83559i	0.0945069	−	0.196246i
$383$	7.33452	+	15.2303i	0.374776	+	0.778231i	0.999998	−	0.00221655i	$-0.000705551\pi$
$383$	7.33452	+	15.2303i	0.374776	+	0.778231i	−0.625221	+	0.780448i	$0.714991\pi$
$384$	0.581531	−	0.729217i	0.0296761	−	0.0372127i
$385$	9.71768	−	5.08627i	0.495259	−	0.259220i
$386$	1.85923	+	8.14580i	0.0946321	+	0.414610i
$387$	−3.45099	−	4.32740i	−0.175424	−	0.219974i
$388$	−2.84164	+	12.4500i	−0.144262	+	0.632055i
$389$			17.0170i			0.862799i	0.902161	+	0.431399i	$0.141980\pi$
$389$			17.0170i			0.862799i	−0.902161	+	0.431399i	$0.858020\pi$
$390$	−0.0835474	−	2.50081i	−0.00423059	−	0.126633i
$391$	1.72317	+	3.57820i	0.0871445	+	0.180957i
$392$	5.76092	−	2.77431i	0.290970	−	0.140124i
$393$	−1.31064	−	0.299145i	−0.0661131	−	0.0150899i
$394$			22.8887i			1.15311i
$395$	0.351576	+	10.5237i	0.0176897	+	0.529503i
$396$	−10.4948	+	8.36929i	−0.527381	+	0.420572i
$397$	−3.83361	+	0.874996i	−0.192403	+	0.0439148i	−0.317637	−	0.948213i	$-0.602889\pi$
$397$	−3.83361	+	0.874996i	−0.192403	+	0.0439148i	0.125233	+	0.992127i	$0.460032\pi$
$398$	3.42980	+	15.0269i	0.171920	+	0.753232i
$399$	0.213698	−	0.267969i	0.0106983	−	0.0134152i
$400$	2.84959	−	4.10851i	0.142480	−	0.205425i
$401$	−24.3684	−	11.7352i	−1.21690	−	0.586029i	−0.288454	−	0.957494i	$-0.593141\pi$
$401$	−24.3684	−	11.7352i	−1.21690	−	0.586029i	−0.928447	+	0.371465i	$0.878856\pi$
$402$	−9.73177	+	7.76083i	−0.485377	+	0.387075i
$403$	−5.38337	+	6.75053i	−0.268165	+	0.336268i
$404$	4.01558	−	8.33845i	0.199783	−	0.414853i
$405$	1.09876	+	4.16731i	0.0545979	+	0.207075i
$406$	−4.11834	−	0.780614i	−0.204390	−	0.0387412i
$407$		−	11.0736i		−	0.548898i
$408$	1.05026	+	0.505777i	0.0519955	+	0.0250397i
$409$	−9.74971	−	7.77513i	−0.482092	−	0.384456i	0.352071	−	0.935973i	$-0.385477\pi$
$409$	−9.74971	−	7.77513i	−0.482092	−	0.384456i	−0.834163	+	0.551518i	$0.814049\pi$
$410$	4.25860	+	3.16941i	0.210317	+	0.156526i
$411$	−9.68165	−	4.66244i	−0.477560	−	0.229981i
$412$	5.43027	+	11.2761i	0.267530	+	0.555532i
$413$	−4.17368	−	3.32840i	−0.205373	−	0.163780i
$414$	6.59899	−	1.50618i	0.324323	−	0.0740245i
$415$	11.2605	+	21.5141i	0.552758	+	1.05608i
$416$	0.938010	−	0.748038i	0.0459897	−	0.0366756i
$417$	−4.49434	+	19.6910i	−0.220089	+	0.964272i
$418$	−2.97513			−0.145519
$419$	−1.54816	+	6.78294i	−0.0756327	+	0.331368i	−0.998562	−	0.0535998i	$-0.982930\pi$
$419$	−1.54816	+	6.78294i	−0.0756327	+	0.331368i	0.922930	+	0.384968i	$0.125788\pi$
$420$	−1.23470	+	1.05397i	−0.0602470	+	0.0514282i
$421$	16.5322	+	34.3295i	0.805732	+	1.67312i	0.737399	+	0.675457i	$0.236054\pi$
$421$	16.5322	+	34.3295i	0.805732	+	1.67312i	0.0683329	+	0.997663i	$0.478232\pi$
$422$	1.42633	+	0.325551i	0.0694329	+	0.0158476i
$423$	18.6315			0.905897
$424$	−3.57940	−	0.816974i	−0.173831	−	0.0396758i
$425$	5.79859	+	2.32954i	0.281273	+	0.112999i
$426$	−0.715939	−	3.13673i	−0.0346873	−	0.151975i
$427$	−1.39481	−	6.11106i	−0.0674996	−	0.295735i
$428$	−13.7294	−	10.9488i	−0.663634	−	0.529230i
$429$	6.35351	−	3.05969i	0.306751	−	0.147723i
$430$	−1.10307	+	5.70474i	−0.0531949	+	0.275107i
$431$	−5.48552	−	6.87863i	−0.264228	−	0.331332i	0.631964	−	0.774998i	$-0.282249\pi$
$431$	−5.48552	−	6.87863i	−0.264228	−	0.331332i	−0.896192	+	0.443666i	$0.853678\pi$
$432$	2.98329	−	3.74093i	0.143534	−	0.179986i
$433$	27.9644	+	13.4669i	1.34388	+	0.647180i	0.960982	−	0.276610i	$-0.0892111\pi$
$433$	27.9644	+	13.4669i	1.34388	+	0.647180i	0.382900	+	0.923790i	$0.374925\pi$
$434$	5.60168			0.268889
$435$	−11.2034	+	0.790827i	−0.537160	+	0.0379172i
$436$	0.0442446			0.00211893
$437$	1.35164	+	0.650917i	0.0646579	+	0.0311376i
$438$	5.76966	−	7.23493i	0.275685	−	0.345698i
$439$	4.60379	+	5.77297i	0.219727	+	0.275529i	0.879462	−	0.475970i	$-0.157903\pi$
$439$	4.60379	+	5.77297i	0.219727	+	0.275529i	−0.659735	+	0.751499i	$0.729331\pi$
$440$	13.8350	+	2.67516i	0.659560	+	0.127533i
$441$	12.2711	−	5.90946i	0.584339	−	0.281403i
$442$	1.17233	+	0.934902i	0.0557621	+	0.0444688i
$443$	2.39967	+	10.5136i	0.114012	+	0.499518i	0.999399	+	0.0346638i	$0.0110360\pi$
$443$	2.39967	+	10.5136i	0.114012	+	0.499518i	−0.885387	+	0.464854i	$0.846107\pi$
$444$	0.364701	+	1.59786i	0.0173079	+	0.0758311i
$445$	−1.50303	−	1.11861i	−0.0712504	−	0.0530272i
$446$	11.1650	+	2.54834i	0.528679	+	0.120667i
$447$	12.0976			0.572196
$448$	−0.758857	−	0.173204i	−0.0358526	−	0.00818313i
$449$	−0.160033	−	0.332313i	−0.00755245	−	0.0156828i	0.897159	−	0.441709i	$-0.145628\pi$
$449$	−0.160033	−	0.332313i	−0.00755245	−	0.0156828i	−0.904711	+	0.426026i	$0.859913\pi$
$450$	6.06982	−	8.75138i	0.286134	−	0.412544i
$451$	−3.32912	+	14.5858i	−0.156762	+	0.686819i
$452$	7.87547			0.370431
$453$	−0.697006	+	3.05378i	−0.0327482	+	0.143479i
$454$	−5.00128	+	3.98839i	−0.234722	+	0.187184i
$455$	−1.85008	+	0.968339i	−0.0867331	+	0.0453964i
$456$	0.429295	−	0.0979839i	0.0201036	−	0.00458852i
$457$	8.27852	+	6.60190i	0.387253	+	0.308824i	0.797693	−	0.603064i	$-0.206054\pi$
$457$	8.27852	+	6.60190i	0.387253	+	0.308824i	−0.410440	+	0.911888i	$0.634625\pi$
$458$	−9.76126	−	20.2695i	−0.456114	−	0.947130i
$459$	5.38789	+	2.59467i	0.251485	+	0.121109i
$460$	−5.70016	−	4.24227i	−0.265771	−	0.197797i
$461$	−8.73926	−	6.96933i	−0.407028	−	0.324594i	0.398482	−	0.917176i	$-0.369537\pi$
$461$	−8.73926	−	6.96933i	−0.407028	−	0.324594i	−0.805510	+	0.592582i	$0.798109\pi$
$462$	−4.12199	−	1.98505i	−0.191773	−	0.0923528i
$463$		−	8.87201i		−	0.412317i	−0.978519	−	0.206159i	$-0.933904\pi$
$463$		−	8.87201i		−	0.412317i	0.978519	−	0.206159i	$-0.0660963\pi$
$464$	−3.51135	−	4.08294i	−0.163010	−	0.189546i
$465$	14.5133	−	3.82660i	0.673037	−	0.177454i
$466$	9.75796	−	20.2626i	0.452029	−	0.938647i
$467$	−14.2754	+	17.9008i	−0.660589	+	0.828352i	−0.993407	−	0.114639i	$-0.963429\pi$
$467$	−14.2754	+	17.9008i	−0.660589	+	0.828352i	0.332818	+	0.942991i	$0.392000\pi$
$468$	1.99802	−	1.59337i	0.0923586	−	0.0736535i
$469$	9.35907	+	4.50709i	0.432162	+	0.208118i
$470$	−12.6985	−	14.8759i	−0.585736	−	0.686176i
$471$	12.6852	−	15.9068i	0.584505	−	0.732946i
$472$	−1.52612	−	6.68638i	−0.0702455	−	0.307766i
$473$	−15.9647	+	3.64383i	−0.734057	+	0.167544i
$474$	3.43385	−	2.73840i	0.157722	−	0.125779i
$475$	2.26116	−	0.677693i	0.103749	−	0.0310947i
$476$		−	0.972815i		−	0.0445889i
$477$	−7.62435	−	1.74021i	−0.349095	−	0.0796787i
$478$	−5.98567	+	2.88255i	−0.273778	+	0.131845i
$479$	13.5336	+	28.1028i	0.618366	+	1.28405i	0.941282	+	0.337622i	$0.109623\pi$
$479$	13.5336	+	28.1028i	0.618366	+	1.28405i	−0.322916	+	0.946428i	$0.604663\pi$
$480$	−2.08443	+	0.0696368i	−0.0951406	+	0.00317847i
$481$			2.10823i			0.0961268i
$482$	−3.15571	+	13.8261i	−0.143738	+	0.629759i
$483$	1.43838	+	1.80367i	0.0654484	+	0.0820697i
$484$	6.38924	+	27.9931i	0.290420	+	1.27241i
$485$	25.2992	−	13.2417i	1.14878	−	0.601274i
$486$	10.0707	−	12.6283i	0.456816	−	0.572829i
$487$	14.0809	+	29.2394i	0.638068	+	1.32496i	0.929660	+	0.368419i	$0.120101\pi$
$487$	14.0809	+	29.2394i	0.638068	+	1.32496i	−0.291592	+	0.956543i	$0.594185\pi$
$488$	3.49405	−	7.25548i	0.158168	−	0.328440i
$489$	1.78048	+	2.23265i	0.0805162	+	0.100964i
$490$	−13.0818	−	5.76997i	−0.590973	−	0.260661i
$491$	−14.1649	+	29.4136i	−0.639251	+	1.32742i	0.289665	+	0.957128i	$0.406456\pi$
$491$	−14.1649	+	29.4136i	−0.639251	+	1.32742i	−0.928916	+	0.370290i	$0.879258\pi$
$492$		−	2.21429i		−	0.0998281i
$493$	3.99841	−	5.41398i	0.180079	−	0.243833i
$494$	0.566415			0.0254842
$495$	29.4695	+	5.69826i	1.32456	+	0.256118i
$496$	5.62657	+	4.48704i	0.252641	+	0.201474i
$497$	−2.09924	+	1.67409i	−0.0941638	+	0.0750932i
$498$	4.39471	−	9.12572i	0.196932	−	0.408933i
$499$	−19.1547	+	9.22442i	−0.857482	+	0.412942i	−0.810349	−	0.585947i	$-0.800723\pi$
$499$	−19.1547	+	9.22442i	−0.857482	+	0.412942i	−0.0471327	+	0.998889i	$0.515008\pi$
$500$	−11.1243	+	1.11825i	−0.497493	+	0.0500098i
$501$	−18.3859	+	4.19646i	−0.821421	+	0.187484i
$502$	−15.0431	+	3.43349i	−0.671407	+	0.153244i
$503$	−20.6706	−	25.9201i	−0.921656	−	1.15572i	−0.987457	−	0.157887i	$-0.949532\pi$
$503$	−20.6706	−	25.9201i	−0.921656	−	1.15572i	0.0658010	−	0.997833i	$-0.479040\pi$
$504$	−1.61642	−	0.368936i	−0.0720009	−	0.0164337i
$505$	−20.0109	+	5.27611i	−0.890473	+	0.234784i
$506$	4.45604	−	19.5232i	0.198095	−	0.867912i
$507$	9.71478	−	4.67839i	0.431448	−	0.207775i
$508$	11.0224	−	5.30809i	0.489038	−	0.235509i
$509$	2.60561	−	11.4159i	0.115492	−	0.506002i	−0.883782	−	0.467899i	$-0.845011\pi$
$509$	2.60561	−	11.4159i	0.115492	−	0.506002i	0.999274	−	0.0381033i	$-0.0121316\pi$
$510$	−0.664546	−	2.52044i	−0.0294266	−	0.111607i
$511$	−7.52901	−	1.71845i	−0.333064	−	0.0760196i
$512$	−0.623490	−	0.781831i	−0.0275546	−	0.0345524i
$513$	2.20231	−	0.502664i	0.0972345	−	0.0221931i
$514$	3.65071	−	0.833251i	0.161026	−	0.0367531i
$515$	11.2938	−	25.6054i	0.497664	−	1.12831i
$516$	2.18361	−	1.05157i	0.0961280	−	0.0462928i
$517$	23.9164	−	49.6629i	1.05184	−	2.18417i
$518$	1.06936	−	0.852785i	0.0469849	−	0.0374692i
$519$	−12.1462	−	9.68625i	−0.533158	−	0.425179i
$520$	−2.63396	−	0.509304i	−0.115507	−	0.0223345i
$521$	−8.71126			−0.381647			−0.190824	−	0.981624i	$-0.561116\pi$
$521$	−8.71126			−0.381647			−0.190824	+	0.981624i	$0.561116\pi$
$522$	−7.47941	−	8.69693i	−0.327365	−	0.380654i
$523$		−	11.7002i		−	0.511614i	−0.966728	−	0.255807i	$-0.917659\pi$
$523$		−	11.7002i		−	0.511614i	0.966728	−	0.255807i	$-0.0823412\pi$
$524$	−0.625376	+	1.29861i	−0.0273197	+	0.0567299i
$525$	3.58496	+	0.569744i	0.156461	+	0.0248657i
$526$	0.988477	+	1.23951i	0.0430996	+	0.0540452i
$527$	−3.90253	+	8.10370i	−0.169997	+	0.353003i
$528$	−2.55025	−	5.29565i	−0.110986	−	0.230464i
$529$	8.04442	−	10.0874i	0.349757	−	0.438582i
$530$	3.80700	+	7.27355i	0.165365	+	0.315943i
$531$	−3.25074	−	14.2424i	−0.141070	−	0.618068i
$532$	−0.229117	−	0.287304i	−0.00993348	−	0.0124562i
$533$	0.633807	−	2.77689i	0.0274532	−	0.120280i
$534$			0.781512i			0.0338194i
$535$	1.31109	+	39.2446i	0.0566833	+	1.69669i
$536$	5.79040	+	12.0239i	0.250107	+	0.519353i
$537$	−16.7416	+	8.06233i	−0.722453	+	0.347915i
$538$	−16.3246	−	3.72599i	−0.703804	−	0.160639i
$539$		−	40.2947i		−	1.73562i
$540$	−10.6932	+	0.357241i	−0.460164	+	0.0153732i
$541$	−22.8491	+	18.2215i	−0.982358	+	0.783404i	−0.976265	−	0.216577i	$-0.930511\pi$
$541$	−22.8491	+	18.2215i	−0.982358	+	0.783404i	−0.00609222	+	0.999981i	$0.501939\pi$
$542$	16.7551	−	3.82424i	0.719693	−	0.164265i
$543$	3.90353	+	17.1025i	0.167517	+	0.733938i
$544$	0.779241	−	0.977138i	0.0334097	−	0.0418944i
$545$	−0.0642326	−	0.0752469i	−0.00275142	−	0.00322322i
$546$	0.784757	+	0.377919i	0.0335845	+	0.0161734i
$547$	−30.1225	+	24.0219i	−1.28795	+	1.02710i	−0.290413	+	0.956901i	$0.593793\pi$
$547$	−30.1225	+	24.0219i	−1.28795	+	1.02710i	−0.997533	+	0.0702014i	$0.977636\pi$
$548$	−7.18332	+	9.00760i	−0.306856	+	0.384786i
$549$	7.44256	−	15.4546i	0.317641	−	0.659588i
$550$	−15.5355	−	27.4130i	−0.662437	−	1.16889i
$551$	−0.0942388	−	2.54063i	−0.00401471	−	0.108234i
$552$			2.96385i			0.126150i
$553$	−3.30234	−	1.59032i	−0.140430	−	0.0676275i
$554$	−21.7923	−	17.3788i	−0.925866	−	0.738353i
$555$	2.18803	−	2.93996i	0.0928766	−	0.124794i
$556$	19.5102	+	9.39561i	0.827416	+	0.398463i
$557$	14.0170	+	29.1066i	0.593920	+	1.23329i	0.953843	+	0.300305i	$0.0970885\pi$
$557$	14.0170	+	29.1066i	0.593920	+	1.23329i	−0.359924	+	0.932982i	$0.617197\pi$
$558$	11.9850	+	9.55769i	0.507364	+	0.404609i
$559$	3.03940	−	0.693724i	0.128553	−	0.0293414i
$560$	0.807110	+	1.54204i	0.0341066	+	0.0651632i
$561$	5.74335	−	4.58017i	0.242485	−	0.193375i
$562$	−2.10244	+	9.21138i	−0.0886860	+	0.388559i
$563$	−19.4093			−0.818006			−0.409003	−	0.912533i	$-0.634123\pi$
$563$	−19.4093			−0.818006			−0.409003	+	0.912533i	$0.634123\pi$
$564$	−1.81539	+	7.95375i	−0.0764418	+	0.334913i
$565$	−11.4333	−	13.3938i	−0.481003	−	0.563483i
$566$	3.46852	+	7.20246i	0.145793	+	0.302742i
$567$	−1.46260	−	0.333828i	−0.0614233	−	0.0140195i
$568$	−3.44954			−0.144740
$569$	19.2453	+	4.39262i	0.806806	+	0.184148i	0.605981	−	0.795479i	$-0.292781\pi$
$569$	19.2453	+	4.39262i	0.806806	+	0.184148i	0.200825	+	0.979627i	$0.435638\pi$
$570$	−0.789876	−	0.587855i	−0.0330843	−	0.0246225i
$571$	−1.02686	−	4.49896i	−0.0429727	−	0.188276i	0.948886	−	0.315619i	$-0.102212\pi$
$571$	−1.02686	−	4.49896i	−0.0429727	−	0.188276i	−0.991859	+	0.127343i	$0.959355\pi$
$572$	−1.68241	−	7.37111i	−0.0703450	−	0.308202i
$573$	3.10441	+	2.47568i	0.129688	+	0.103423i
$574$	−1.66490	+	0.801776i	−0.0694918	+	0.0334655i
$575$	1.06043	+	15.8531i	0.0442228	+	0.661118i
$576$	−1.32807	−	1.66535i	−0.0553364	−	0.0693896i
$577$	14.3162	−	17.9520i	0.595993	−	0.747351i	−0.388755	−	0.921341i	$-0.627095\pi$
$577$	14.3162	−	17.9520i	0.595993	−	0.747351i	0.984747	+	0.173990i	$0.0556660\pi$
$578$	−13.9091	−	6.69829i	−0.578544	−	0.278612i
$579$	−7.79300			−0.323866
$580$	−1.84623	+	11.8992i	−0.0766604	+	0.494088i
$581$	−8.45282			−0.350682
$582$	−10.7313	−	5.16791i	−0.444826	−	0.214217i
$583$	−14.4256	+	18.0891i	−0.597446	+	0.749174i
$584$	−6.18596	−	7.75695i	−0.255977	−	0.320985i
$585$	−5.61050	−	1.08485i	−0.231966	−	0.0448531i
$586$	26.2489	−	12.6408i	1.08433	−	0.522187i
$587$	15.8590	+	12.6471i	0.654569	+	0.522001i	0.893516	−	0.449031i	$-0.148231\pi$
$587$	15.8590	+	12.6471i	0.654569	+	0.522001i	−0.238947	+	0.971033i	$0.576802\pi$
$588$	1.32708	+	5.81431i	0.0547277	+	0.239778i
$589$	0.756035	+	3.31240i	0.0311519	+	0.136485i
$590$	−9.15598	+	12.3025i	−0.376946	+	0.506486i
$591$	−20.8131	−	4.75045i	−0.856135	−	0.195407i
$592$	1.75721			0.0722207
$593$	29.3110	+	6.69004i	1.20366	+	0.274727i	0.776891	−	0.629635i	$-0.216796\pi$
$593$	29.3110	+	6.69004i	1.20366	+	0.274727i	0.426766	+	0.904362i	$0.359653\pi$
$594$	−13.0830	−	27.1670i	−0.536800	−	1.11468i
$595$	−1.65447	+	1.41229i	−0.0678266	+	0.0578984i
$596$	2.88620	−	12.6453i	0.118223	−	0.517970i
$597$	−14.3761			−0.588375
$598$	−0.848355	+	3.71688i	−0.0346918	+	0.151995i
$599$	8.79926	−	7.01718i	0.359528	−	0.286714i	−0.427021	−	0.904242i	$-0.640437\pi$
$599$	8.79926	−	7.01718i	0.359528	−	0.286714i	0.786549	+	0.617528i	$0.211866\pi$
$600$	3.14452	+	3.44389i	0.128374	+	0.140596i
$601$	−26.6389	+	6.08015i	−1.08662	+	0.248014i	−0.728075	−	0.685497i	$-0.759585\pi$
$601$	−26.6389	+	6.08015i	−1.08662	+	0.248014i	−0.358547	+	0.933512i	$0.616728\pi$
$602$	−1.58133	−	1.26107i	−0.0644501	−	0.0513973i
$603$	12.3339	+	25.6117i	0.502276	+	1.04299i
$604$	3.02574	+	1.45712i	0.123116	+	0.0592894i
$605$	38.3323	−	51.5055i	1.55843	−	2.09400i
$606$	6.74889	+	5.38206i	0.274155	+	0.218631i
$607$	13.0360	+	6.27781i	0.529115	+	0.254808i	0.679314	−	0.733847i	$-0.262277\pi$
$607$	13.0360	+	6.27781i	0.529115	+	0.254808i	−0.150199	+	0.988656i	$0.547992\pi$
$608$		−	0.472107i		−	0.0191465i
$609$	1.56457	−	3.58287i	0.0633997	−	0.145185i
$610$	−17.4119	+	4.59087i	−0.704989	+	0.185879i
$611$	−4.55327	+	9.45497i	−0.184206	+	0.382507i
$612$	1.65983	−	2.08137i	0.0670948	−	0.0841342i
$613$	−36.4325	+	29.0540i	−1.47150	+	1.17348i	−0.524854	+	0.851192i	$0.675880\pi$
$613$	−36.4325	+	29.0540i	−1.47150	+	1.17348i	−0.946642	+	0.322286i	$0.895549\pi$
$614$	−17.9876	−	8.66235i	−0.725919	−	0.349584i
$615$	−3.76586	+	3.21463i	−0.151854	+	0.129626i
$616$	−3.05832	+	3.83502i	−0.123223	+	0.154517i
$617$	−8.74871	−	38.3306i	−0.352210	−	1.54313i	−0.772067	−	0.635542i	$-0.780777\pi$
$617$	−8.74871	−	38.3306i	−0.352210	−	1.54313i	0.419857	−	0.907590i	$-0.362080\pi$
$618$	−11.3806	+	2.59754i	−0.457793	+	0.104488i
$619$	−3.39643	+	2.70856i	−0.136514	+	0.108866i	−0.689366	−	0.724413i	$-0.742111\pi$
$619$	−3.39643	+	2.70856i	−0.136514	+	0.108866i	0.552852	+	0.833279i	$0.313539\pi$
$620$	−0.537311	−	16.0832i	−0.0215789	−	0.645918i
$621$			15.2047i			0.610145i
$622$	−9.46330	−	2.15994i	−0.379444	−	0.0866055i
$623$	0.587611	−	0.282979i	0.0235421	−	0.0113373i
$624$	0.485525	+	1.00820i	0.0194365	+	0.0403604i
$625$	18.0516	+	17.2957i	0.722064	+	0.691826i
$626$		−	7.60842i		−	0.304094i
$627$	0.617477	−	2.70534i	0.0246597	−	0.108041i
$628$	−13.6005	−	17.0545i	−0.542720	−	0.680549i
$629$	0.488693	+	2.14110i	0.0194855	+	0.0853714i
$630$	1.71920	+	3.28465i	0.0684945	+	0.130864i
$631$	−8.69374	+	10.9016i	−0.346092	+	0.433986i	−0.924162	−	0.382002i	$-0.875235\pi$
$631$	−8.69374	+	10.9016i	−0.346092	+	0.433986i	0.578069	+	0.815988i	$0.303806\pi$
$632$	−2.04314	−	4.24262i	−0.0812717	−	0.168762i
$633$	−0.592060	+	1.22943i	−0.0235323	+	0.0488653i
$634$	13.7863	+	17.2875i	0.547526	+	0.686576i
$635$	−25.0293	−	11.0397i	−0.993259	−	0.438097i
$636$	1.48578	−	3.08525i	0.0589150	−	0.122338i
$637$			7.67143i			0.303953i
$638$	−32.7829	+	8.77275i	−1.29789	+	0.347317i
$639$	−7.34775			−0.290672
$640$	−0.424505	+	2.19540i	−0.0167800	+	0.0867809i
$641$	−16.8226	−	13.4156i	−0.664453	−	0.529883i	0.232172	−	0.972675i	$-0.425417\pi$
$641$	−16.8226	−	13.4156i	−0.664453	−	0.529883i	−0.896625	+	0.442792i	$0.853988\pi$
$642$	12.8054	−	10.2120i	0.505390	−	0.403035i
$643$	−12.7591	+	26.4945i	−0.503170	+	1.04484i	0.482459	+	0.875918i	$0.339744\pi$
$643$	−12.7591	+	26.4945i	−0.503170	+	1.04484i	−0.985629	+	0.168924i	$0.945971\pi$
$644$	2.22849	−	1.07318i	0.0878146	−	0.0422893i
$645$	−4.95848	−	2.18704i	−0.195240	−	0.0861146i
$646$	0.575248	−	0.131297i	0.0226328	−	0.00516580i
$647$	8.05291	−	1.83802i	0.316592	−	0.0722602i	−0.0612719	−	0.998121i	$-0.519516\pi$
$647$	8.05291	−	1.83802i	0.316592	−	0.0722602i	0.377864	+	0.925861i	$0.376659\pi$
$648$	−1.20169	−	1.50688i	−0.0472070	−	0.0591957i
$649$	−42.1364	−	9.61736i	−1.65400	−	0.377514i
$650$	2.95770	+	5.21897i	0.116011	+	0.204705i
$651$	−1.16261	+	5.09371i	−0.0455661	+	0.199638i
$652$	2.75851	−	1.32843i	0.108032	−	0.0520253i
$653$	1.29767	−	0.624926i	0.0507818	−	0.0244552i	−0.408320	−	0.912839i	$-0.633885\pi$
$653$	1.29767	−	0.624926i	0.0507818	−	0.0244552i	0.459102	+	0.888383i	$0.348171\pi$
$654$	−0.00918279	+	0.0402324i	−0.000359076	+	0.00157321i
$655$	3.11644	−	0.821688i	0.121769	−	0.0321060i
$656$	−2.31454	−	0.528278i	−0.0903675	−	0.0206258i
$657$	−13.1765	−	16.5228i	−0.514064	−	0.644616i
$658$	6.63768	−	1.51501i	0.258764	−	0.0590611i
$659$	−7.39305	+	1.68741i	−0.287992	+	0.0657323i	−0.364077	−	0.931369i	$-0.618615\pi$
$659$	−7.39305	+	1.68741i	−0.287992	+	0.0657323i	0.0760843	+	0.997101i	$0.475758\pi$
$660$	−5.30398	+	12.0252i	−0.206457	+	0.468082i
$661$	−11.7584	+	5.66253i	−0.457347	+	0.220247i	−0.648350	−	0.761343i	$-0.724540\pi$
$661$	−11.7584	+	5.66253i	−0.457347	+	0.220247i	0.191002	+	0.981590i	$0.438826\pi$
$662$	8.44734	−	17.5411i	0.328315	−	0.681754i
$663$	−1.09344	+	0.871987i	−0.0424656	+	0.0338652i
$664$	−8.49037	−	6.77085i	−0.329490	−	0.262760i
$665$	−0.155995	+	0.806756i	−0.00604923	+	0.0312847i
$666$	3.74296			0.145037
$667$	16.8131	+	3.18685i	0.651004	+	0.123395i
$668$			20.2194i			0.782313i
$669$	−4.63451	+	9.62365i	−0.179180	+	0.372072i
$670$	12.0428	−	27.3036i	0.465254	−	1.05483i
$671$	−31.6411	−	39.6767i	−1.22149	−	1.53170i
$672$	0.314996	−	0.654095i	0.0121512	−	0.0252323i
$673$	−17.2347	−	35.7882i	−0.664348	−	1.37953i	−0.911801	−	0.410633i	$-0.865308\pi$
$673$	−17.2347	−	35.7882i	−0.664348	−	1.37953i	0.247453	−	0.968900i	$-0.420407\pi$
$674$	9.35698	−	11.7333i	0.360417	−	0.451949i
$675$	16.1316	+	17.6674i	0.620905	+	0.680018i
$676$	−2.57247	−	11.2707i	−0.0989412	−	0.433490i
$677$	−14.5982	−	18.3056i	−0.561055	−	0.703540i	0.417698	−	0.908586i	$-0.362837\pi$
$677$	−14.5982	−	18.3056i	−0.561055	−	0.703540i	−0.978752	+	0.205046i	$0.934266\pi$
$678$	−1.63452	+	7.16131i	−0.0627735	+	0.275029i
$679$			9.93999i			0.381462i
$680$	−2.79309	+	0.0933120i	−0.107110	+	0.00357835i
$681$	−2.58872	−	5.37553i	−0.0992000	−	0.205991i
$682$	40.8608	−	19.6775i	1.56464	−	0.753491i
$683$	15.8848	+	3.62559i	0.607814	+	0.138729i	0.515340	−	0.856986i	$-0.327666\pi$
$683$	15.8848	+	3.62559i	0.607814	+	0.138729i	0.0924733	+	0.995715i	$0.470523\pi$
$684$		−	1.00562i		−	0.0384508i
$685$	25.7477	−	0.860183i	0.983770	−	0.0328659i
$686$	8.15109	−	6.50028i	0.311210	−	0.248182i
$687$	20.4573	−	4.66925i	0.780495	−	0.178143i
$688$	−0.578219	−	2.53334i	−0.0220444	−	0.0965827i
$689$	2.74638	−	3.44386i	0.104629	−	0.131200i
$690$	5.04062	−	4.30280i	0.191893	−	0.163805i
$691$	12.7585	+	6.14416i	0.485355	+	0.233735i	0.660526	−	0.750803i	$-0.270333\pi$
$691$	12.7585	+	6.14416i	0.485355	+	0.233735i	−0.175171	+	0.984538i	$0.556048\pi$
$692$	−13.0225	+	10.3851i	−0.495043	+	0.394784i
$693$	−6.51443	+	8.16883i	−0.247463	+	0.310308i
$694$	−5.95263	+	12.3608i	−0.225959	+	0.469208i
$695$	−12.3450	−	46.8212i	−0.468272	−	1.77603i
$696$	4.44146	−	2.34554i	0.168353	−	0.0889074i
$697$		−	2.96712i		−	0.112387i
$698$	13.9013	+	6.69450i	0.526171	+	0.253391i
$699$	16.3999	+	13.0785i	0.620303	+	0.494675i
$700$	1.45082	−	3.61133i	0.0548360	−	0.136496i
$701$	38.8035	+	18.6868i	1.46559	+	0.705789i	0.985222	−	0.171280i	$-0.0547904\pi$
$701$	38.8035	+	18.6868i	1.46559	+	0.705789i	0.480364	+	0.877069i	$0.340505\pi$
$702$	2.49077	+	5.17214i	0.0940081	+	0.195210i
$703$	0.648599	+	0.517240i	0.0244624	+	0.0195081i
$704$	−6.14382	+	1.40229i	−0.231554	+	0.0528507i
$705$	16.1625	−	8.45950i	0.608714	−	0.318603i
$706$	−8.91674	+	7.11087i	−0.335586	+	0.267621i
$707$	1.60300	−	7.02321i	0.0602871	−	0.264135i
$708$	6.39679			0.240406
$709$	9.08653	−	39.8107i	0.341252	−	1.49512i	−0.455183	−	0.890398i	$-0.650426\pi$
$709$	9.08653	−	39.8107i	0.341252	−	1.49512i	0.796435	−	0.604724i	$-0.206717\pi$
$710$	5.00791	+	5.86665i	0.187944	+	0.220171i
$711$	−4.35202	−	9.03706i	−0.163213	−	0.338916i
$712$	0.816892	+	0.186450i	0.0306143	+	0.00698752i
$713$	−22.8688			−0.856443
$714$	0.884599	+	0.201904i	0.0331053	+	0.00755606i
$715$	−10.0936	+	13.5624i	−0.377480	+	0.507204i
$716$	4.43317	+	19.4230i	0.165675	+	0.725871i
$717$	−1.37885	−	6.04114i	−0.0514942	−	0.225611i
$718$	22.5281	+	17.9655i	0.840740	+	0.670468i
$719$	22.8626	−	11.0100i	0.852631	−	0.410606i	0.0440776	−	0.999028i	$-0.485965\pi$
$719$	22.8626	−	11.0100i	0.852631	−	0.410606i	0.808554	+	0.588423i	$0.200251\pi$
$720$	−0.904223	+	4.67635i	−0.0336984	+	0.174277i
$721$	6.07386	+	7.61638i	0.226202	+	0.283649i
$722$	−11.7073	+	14.6805i	−0.435702	+	0.546353i
$723$	−11.9173	−	5.73908i	−0.443210	−	0.213439i
$724$	18.8080			0.698995
$725$	22.9173	−	14.1349i	0.851128	−	0.524958i
$726$	−26.7807			−0.993925
$727$	−33.0593	−	15.9205i	−1.22610	−	0.590459i	−0.295096	−	0.955468i	$-0.595352\pi$
$727$	−33.0593	−	15.9205i	−1.22610	−	0.590459i	−0.931004	+	0.365009i	$0.881066\pi$
$728$	0.582253	−	0.730122i	0.0215797	−	0.0270601i
$729$	5.78789	+	7.25779i	0.214366	+	0.268807i
$730$	−4.21173	+	21.7817i	−0.155883	+	0.806177i
$731$	2.92600	−	1.40909i	0.108222	−	0.0521169i
$732$	5.87236	+	4.68305i	0.217049	+	0.173091i
$733$	5.92562	+	25.9618i	0.218868	+	0.958922i	0.958316	+	0.285709i	$0.0922291\pi$
$733$	5.92562	+	25.9618i	0.218868	+	0.958922i	−0.739449	+	0.673213i	$0.764914\pi$
$734$	−2.27683	−	9.97546i	−0.0840395	−	0.368201i
$735$	7.96181	−	10.6979i	0.293676	−	0.394600i
$736$	3.09802	+	0.707104i	0.114195	+	0.0260642i
$737$	84.1011			3.09790
$738$	−4.93011	−	1.12527i	−0.181480	−	0.0414216i
$739$	−3.03838	−	6.30927i	−0.111769	−	0.232090i	0.837580	−	0.546315i	$-0.183970\pi$
$739$	−3.03838	−	6.30927i	−0.111769	−	0.232090i	−0.949349	+	0.314225i	$0.898256\pi$
$740$	−2.55104	−	2.98849i	−0.0937782	−	0.109859i
$741$	−0.117557	+	0.515051i	−0.00431857	+	0.0189209i
$742$	−2.85776			−0.104912
$743$	3.98996	−	17.4811i	0.146377	−	0.641321i	−0.847497	−	0.530801i	$-0.821891\pi$
$743$	3.98996	−	17.4811i	0.146377	−	0.641321i	0.993874	−	0.110520i	$-0.0352517\pi$
$744$	−5.24792	+	4.18508i	−0.192398	+	0.153432i
$745$	−25.6959	+	13.4493i	−0.941424	+	0.492745i
$746$	26.3068	−	6.00435i	0.963159	−	0.219835i
$747$	−18.0850	−	14.4223i	−0.661697	−	0.527686i
$748$	−3.41729	−	7.09608i	−0.124949	−	0.259459i
$749$	−12.3150	−	5.93059i	−0.449980	−	0.216699i
$750$	1.29195	−	10.3476i	0.0471754	−	0.377841i
$751$	26.4298	+	21.0771i	0.964438	+	0.769114i	0.972989	−	0.230850i	$-0.0741506\pi$
$751$	26.4298	+	21.0771i	0.964438	+	0.769114i	−0.00855152	+	0.999963i	$0.502722\pi$
$752$	7.88072	+	3.79515i	0.287380	+	0.138395i
$753$		−	14.3916i		−	0.524458i
$754$	6.24130	−	1.67018i	0.227295	−	0.0608244i
$755$	−1.91452	−	7.26128i	−0.0696766	−	0.264265i
$756$	1.61595	−	3.35555i	0.0587715	−	0.122040i
$757$	−27.7786	+	34.8332i	−1.00963	+	1.26603i	−0.0459578	+	0.998943i	$0.514634\pi$
$757$	−27.7786	+	34.8332i	−1.00963	+	1.26603i	−0.963671	+	0.267091i	$0.913937\pi$
$758$	15.2005	−	12.1220i	0.552105	−	0.440289i
$759$	16.8280	+	8.10393i	0.610817	+	0.294154i
$760$	−0.802913	+	0.685386i	−0.0291247	+	0.0248616i
$761$	21.9081	−	27.4719i	0.794168	−	0.995855i	−0.205684	−	0.978619i	$-0.565942\pi$
$761$	21.9081	−	27.4719i	0.794168	−	0.995855i	0.999851	−	0.0172364i	$-0.00548680\pi$
$762$	2.53910	+	11.1245i	0.0919818	+	0.402999i
$763$	0.0335753	−	0.00766335i	0.00121551	−	0.000277432i
$764$	3.32840	−	2.65431i	0.120417	−	0.0960295i
$765$	−5.94947	+	0.198761i	−0.215103	+	0.00718621i
$766$			16.9043i			0.610779i
$767$	8.02205	+	1.83098i	0.289659	+	0.0661129i
$768$	0.840337	−	0.404685i	0.0303230	−	0.0146028i
$769$	−4.24318	−	8.81106i	−0.153013	−	0.317735i	0.810345	−	0.585953i	$-0.199280\pi$
$769$	−4.24318	−	8.81106i	−0.153013	−	0.317735i	−0.963358	+	0.268218i	$0.913565\pi$
$770$	10.9622	−	0.366226i	0.395049	−	0.0131979i
$771$			3.49260i			0.125783i
$772$	−1.85923	+	8.14580i	−0.0669150	+	0.293174i
$773$	0.969637	+	1.21589i	0.0348754	+	0.0437324i	0.798963	−	0.601380i	$-0.205382\pi$
$773$	0.969637	+	1.21589i	0.0348754	+	0.0437324i	−0.764088	+	0.645112i	$0.776811\pi$
$774$	−1.23164	−	5.39618i	−0.0442705	−	0.193962i
$775$	−26.5728	+	24.2628i	−0.954522	+	0.871546i
$776$	−7.96210	+	9.98415i	−0.285823	+	0.358410i
$777$	0.553512	+	1.14938i	0.0198571	+	0.0412338i
$778$	−7.38342	+	15.3318i	−0.264708	+	0.549673i
$779$	−0.698814	−	0.876285i	−0.0250376	−	0.0313962i
$780$	1.00979	−	2.28940i	0.0361562	−	0.0819737i
$781$	−9.43194	+	19.5856i	−0.337501	+	0.700829i
$782$			3.97150i			0.142021i
$783$	22.7850	−	12.0328i	0.814269	−	0.430016i
$784$	6.39414			0.228362
$785$	−9.25996	+	47.8895i	−0.330502	+	1.70925i
$786$	−1.05105	−	0.838187i	−0.0374898	−	0.0298971i
$787$	−0.668647	+	0.533228i	−0.0238347	+	0.0190075i	−0.635335	−	0.772237i	$-0.719138\pi$
$787$	−0.668647	+	0.533228i	−0.0238347	+	0.0190075i	0.611500	+	0.791244i	$0.290566\pi$
$788$	−9.93101	+	20.6220i	−0.353778	+	0.734627i
$789$	−1.33226	+	0.641585i	−0.0474299	+	0.0228410i
$790$	−4.24929	+	9.63404i	−0.151183	+	0.342764i
$791$	5.97636	−	1.36407i	0.212495	−	0.0485006i
$792$	−13.0867	+	2.98696i	−0.465017	+	0.106137i
$793$	6.02393	+	7.55377i	0.213916	+	0.268242i
$794$	−3.83361	−	0.874996i	−0.136050	−	0.0310525i
$795$	−7.40410	+	1.95218i	−0.262596	+	0.0692367i
$796$	−3.42980	+	15.0269i	−0.121566	+	0.532615i
$797$	13.4253	−	6.46527i	0.475548	−	0.229012i	−0.180728	−	0.983533i	$-0.557845\pi$
$797$	13.4253	−	6.46527i	0.475548	−	0.229012i	0.656275	+	0.754521i	$0.272131\pi$
$798$	0.308803	−	0.148712i	0.0109315	−	0.00526433i
$799$	−2.43259	+	10.6579i	−0.0860590	+	0.377049i
$800$	4.35001	−	2.46524i	0.153796	−	0.0871595i
$801$	1.74003	+	0.397151i	0.0614811	+	0.0140327i
$802$	−16.8635	−	21.1461i	−0.595470	−	0.746696i
$803$	−60.9560	+	13.9128i	−2.15109	+	0.490972i
$804$	−12.1353	+	2.76981i	−0.427980	+	0.0976836i
$805$	−5.06039	−	2.23199i	−0.178355	−	0.0786672i
$806$	−7.77920	+	3.74626i	−0.274011	+	0.131957i
$807$	6.77622	−	14.0710i	0.238534	−	0.495321i
$808$	7.23583	−	5.77039i	0.254556	−	0.203001i
$809$	19.6014	+	15.6316i	0.689150	+	0.549579i	0.904245	−	0.427014i	$-0.140435\pi$
$809$	19.6014	+	15.6316i	0.689150	+	0.549579i	−0.215095	+	0.976593i	$0.569006\pi$
$810$	−0.818178	+	4.23135i	−0.0287478	+	0.148674i
$811$	11.6125			0.407770			0.203885	−	0.978995i	$-0.434643\pi$
$811$	11.6125			0.407770			0.203885	+	0.978995i	$0.434643\pi$
$812$	−3.37180	−	2.49019i	−0.118327	−	0.0873885i
$813$			16.0294i			0.562176i
$814$	4.80466	−	9.97697i	0.168403	−	0.349693i
$815$	−6.26396	−	2.76285i	−0.219417	−	0.0967783i
$816$	0.726801	+	0.911380i	0.0254431	+	0.0319047i
$817$	0.532273	−	1.10528i	0.0186219	−	0.0386688i
$818$	−5.41068	−	11.2354i	−0.189180	−	0.392836i
$819$	1.24024	−	1.55521i	0.0433373	−	0.0543433i
$820$	2.46171	+	4.70328i	0.0859667	+	0.164245i
$821$	6.04539	+	26.4866i	0.210986	+	0.924389i	0.963899	+	0.266269i	$0.0857909\pi$
$821$	6.04539	+	26.4866i	0.210986	+	0.924389i	−0.752913	+	0.658120i	$0.771352\pi$
$822$	−6.69991	−	8.40142i	−0.233686	−	0.293033i
$823$	0.663456	−	2.90679i	0.0231266	−	0.101324i	−0.962047	−	0.272882i	$-0.912023\pi$
$823$	0.663456	−	2.90679i	0.0231266	−	0.101324i	0.985174	+	0.171558i	$0.0548801\pi$
$824$			12.5155i			0.435998i
$825$	28.1515	−	8.43729i	0.980109	−	0.293749i
$826$	−2.31622	−	4.80968i	−0.0805916	−	0.167350i
$827$	2.44395	−	1.17694i	0.0849845	−	0.0409264i	−0.390909	−	0.920429i	$-0.627839\pi$
$827$	2.44395	−	1.17694i	0.0849845	−	0.0409264i	0.475893	+	0.879503i	$0.342125\pi$
$828$	6.59899	+	1.50618i	0.229331	+	0.0523433i
$829$		−	30.5317i		−	1.06041i	−0.847869	−	0.530205i	$-0.822115\pi$
$829$		−	30.5317i		−	1.06041i	0.847869	−	0.530205i	$-0.177885\pi$
$830$	0.810791	+	24.2693i	0.0281430	+	0.842398i
$831$	20.3257	−	16.2092i	0.705092	−	0.562292i
$832$	1.16968	−	0.266972i	0.0405513	−	0.00925558i
$833$	1.77826	+	7.79107i	0.0616131	+	0.269944i
$834$	−12.5929	+	15.7910i	−0.436055	+	0.546796i
$835$	34.3872	−	29.3538i	1.19002	−	1.01583i
$836$	−2.68050	−	1.29086i	−0.0927071	−	0.0446454i
$837$	−26.9222	+	21.4697i	−0.930567	+	0.742102i
$838$	−4.33786	+	5.43950i	−0.149849	+	0.187904i
$839$	6.72856	−	13.9720i	0.232296	−	0.482367i	−0.751939	−	0.659232i	$-0.770881\pi$
$839$	6.72856	−	13.9720i	0.232296	−	0.482367i	0.984235	+	0.176865i	$0.0565957\pi$
$840$	−1.56972	+	0.413876i	−0.0541605	+	0.0142801i
$841$	−8.52993	−	27.7171i	−0.294136	−	0.955764i
$842$			38.1029i			1.31311i
$843$	−7.93973	−	3.82357i	−0.273459	−	0.131691i
$844$	1.14383	+	0.912175i	0.0393723	+	0.0313984i
$845$	−15.4336	+	20.7374i	−0.530930	+	0.713389i
$846$	16.7864	+	8.08392i	0.577130	+	0.277931i
$847$	9.69705	+	20.1361i	0.333195	+	0.691886i
$848$	−2.87045	−	2.28911i	−0.0985718	−	0.0786084i
$849$	−7.26921	+	1.65915i	−0.249479	+	0.0569419i
$850$	4.21360	+	4.61475i	0.144525	+	0.158285i
$851$	−4.36564	+	3.48148i	−0.149652	+	0.119344i
$852$	0.715939	−	3.13673i	0.0245277	−	0.107463i
$853$	−34.9036			−1.19508			−0.597539	−	0.801840i	$-0.703855\pi$
$853$	−34.9036			−1.19508			−0.597539	+	0.801840i	$0.703855\pi$
$854$	1.39481	−	6.11106i	0.0477294	−	0.209116i
$855$	−1.71026	+	1.45992i	−0.0584896	+	0.0499281i
$856$	−7.61922	−	15.8215i	−0.260420	−	0.540767i
$857$	27.0750	+	6.17970i	0.924865	+	0.211094i	0.658329	−	0.752730i	$-0.271264\pi$
$857$	27.0750	+	6.17970i	0.924865	+	0.211094i	0.266536	+	0.963825i	$0.414121\pi$
$858$	7.05187			0.240747
$859$	32.0060	+	7.30516i	1.09203	+	0.249249i	0.730364	−	0.683058i	$-0.239351\pi$
$859$	32.0060	+	7.30516i	1.09203	+	0.249249i	0.361667	+	0.932307i	$0.382208\pi$
$860$	−3.46903	+	4.66118i	−0.118293	+	0.158945i
$861$	−0.383525	−	1.68033i	−0.0130705	−	0.0572656i
$862$	−1.95776	−	8.57751i	−0.0666816	−	0.292151i
$863$	−32.9617	−	26.2861i	−1.12203	−	0.894789i	−0.126759	−	0.991934i	$-0.540458\pi$
$863$	−32.9617	−	26.2861i	−1.12203	−	0.894789i	−0.995270	+	0.0971449i	$0.969029\pi$
$864$	4.31098	−	2.07606i	0.146663	−	0.0706290i
$865$	36.5677	+	7.07076i	1.24334	+	0.240413i
$866$	19.3519	+	24.2666i	0.657606	+	0.824612i
$867$	8.97767	−	11.2576i	0.304898	−	0.382329i
$868$	5.04694	+	2.43048i	0.171304	+	0.0824958i
$869$	−29.6750			−1.00666
$870$	−10.4370	−	4.14844i	−0.353848	−	0.140645i
$871$	−16.0114			−0.542526
$872$	0.0398630	+	0.0191970i	0.00134993	+	0.000650093i
$873$	−16.9598	+	21.2669i	−0.574002	+	0.719775i
$874$	0.935366	+	1.17291i	0.0316392	+	0.0396744i
$875$	−8.24805	+	2.77537i	−0.278835	+	0.0938245i
$876$	8.33741	−	4.01508i	0.281695	−	0.135657i
$877$	2.41773	+	1.92807i	0.0816408	+	0.0651064i	0.663460	−	0.748212i	$-0.269087\pi$
$877$	2.41773	+	1.92807i	0.0816408	+	0.0651064i	−0.581819	+	0.813318i	$0.697659\pi$
$878$	1.64307	+	7.19878i	0.0554511	+	0.242947i
$879$	6.04666	+	26.4922i	0.203949	+	0.893558i
$880$	11.3042	+	8.41304i	0.381066	+	0.283603i
$881$	32.1422	+	7.33625i	1.08290	+	0.247165i	0.726498	−	0.687168i	$-0.241147\pi$
$881$	32.1422	+	7.33625i	1.08290	+	0.247165i	0.356401	+	0.934333i	$0.384004\pi$
$882$	13.6199			0.458607
$883$	33.2740	+	7.59457i	1.11976	+	0.255578i	0.742049	−	0.670346i	$-0.233854\pi$
$883$	33.2740	+	7.59457i	1.11976	+	0.255578i	0.377710	+	0.925924i	$0.376712\pi$
$884$	0.650594	+	1.35097i	0.0218819	+	0.0454381i
$885$	−9.28661	−	10.8790i	−0.312166	−	0.365695i
$886$	−2.39967	+	10.5136i	−0.0806184	+	0.353212i
$887$	−25.5817			−0.858949			−0.429475	−	0.903079i	$-0.641301\pi$
$887$	−25.5817			−0.858949			−0.429475	+	0.903079i	$0.641301\pi$
$888$	−0.364701	+	1.59786i	−0.0122386	+	0.0536207i
$889$	7.44502	−	5.93721i	0.249698	−	0.199128i
$890$	−0.868836	−	1.65997i	−0.0291234	−	0.0556424i
$891$	−11.8414	+	2.70272i	−0.396702	+	0.0905447i
$892$	8.95364	+	7.14029i	0.299790	+	0.239075i
$893$	1.79172	+	3.72054i	0.0599576	+	0.124503i
$894$	10.8995	+	5.24894i	0.364535	+	0.175551i
$895$	26.5968	−	35.7370i	0.889034	−	1.19456i
$896$	−0.608556	−	0.485308i	−0.0203304	−	0.0162130i
$897$	−3.20376	−	1.54285i	−0.106970	−	0.0515142i
$898$		−	0.368840i		−	0.0123083i
$899$	18.0980	+	34.2699i	0.603601	+	1.14297i
$900$	9.26580	−	5.25113i	0.308860	−	0.175038i
$901$	1.99092	−	4.13419i	0.0663271	−	0.137730i
$902$	−9.32798	+	11.6969i	−0.310588	+	0.389465i
$903$	1.47491	−	1.17620i	0.0490819	−	0.0391415i
$904$	7.09555	+	3.41704i	0.235995	+	0.113649i
$905$	−27.3048	−	31.9869i	−0.907641	−	1.06328i
$906$	−1.95297	+	2.44894i	−0.0648830	+	0.0813607i
$907$	−10.6852	−	46.8151i	−0.354798	−	1.55447i	−0.765947	−	0.642903i	$-0.777730\pi$
$907$	−10.6852	−	46.8151i	−0.354798	−	1.55447i	0.411150	−	0.911568i	$-0.365127\pi$
$908$	−6.23650	+	1.42344i	−0.206965	+	0.0472385i
$909$	15.4128	−	12.2913i	0.511210	−	0.407676i
$910$	−2.08701	+	0.0697232i	−0.0691838	+	0.00231130i
$911$		−	11.9041i		−	0.394401i	−0.980363	−	0.197200i	$-0.936815\pi$
$911$		−	11.9041i		−	0.394401i	0.980363	−	0.197200i	$-0.0631849\pi$
$912$	0.429295	+	0.0979839i	0.0142154	+	0.00324457i
$913$	−61.6581	+	29.6930i	−2.04058	+	0.982693i
$914$	4.59423	+	9.54002i	0.151964	+	0.315556i
$915$	−0.560783	−	16.7858i	−0.0185389	−	0.554922i
$916$		−	22.4974i		−	0.743335i
$917$	−0.249647	+	1.09378i	−0.00824408	+	0.0361197i
$918$	3.72854	+	4.67544i	0.123060	+	0.154312i
$919$	−1.61647	−	7.08224i	−0.0533226	−	0.233622i	0.941243	−	0.337729i	$-0.109659\pi$
$919$	−1.61647	−	7.08224i	−0.0533226	−	0.233622i	−0.994566	+	0.104107i	$0.966801\pi$
$920$	−3.29502	−	6.29536i	−0.108633	−	0.207552i
$921$	11.6101	−	14.5586i	0.382565	−	0.479722i
$922$	−4.84992	−	10.0710i	−0.159724	−	0.331670i
$923$	1.79568	−	3.72877i	0.0591056	−	0.122734i
$924$	−2.85251	−	3.57693i	−0.0938406	−	0.117672i
$925$	−1.37902	+	8.67713i	−0.0453420	+	0.285302i
$926$	3.84942	−	7.99340i	0.126500	−	0.262679i
$927$			26.6588i			0.875590i
$928$	−1.39210	−	5.20212i	−0.0456978	−	0.170768i
$929$	−8.29598			−0.272182			−0.136091	−	0.990696i	$-0.543454\pi$
$929$	−8.29598			−0.272182			−0.136091	+	0.990696i	$0.543454\pi$
$930$	14.7363	+	2.84943i	0.483222	+	0.0934363i
$931$	2.36013	+	1.88214i	0.0773500	+	0.0616846i
$932$	17.5832	−	14.0222i	0.575958	−	0.459311i
$933$	3.92814	−	8.15686i	0.128601	−	0.267044i
$934$	−20.6286	+	9.93422i	−0.674989	+	0.325058i
$935$	−7.10724	+	16.1136i	−0.232432	+	0.526972i
$936$	2.49149	−	0.568667i	0.0814370	−	0.0185875i
$937$	−14.4887	+	3.30694i	−0.473324	+	0.108033i	−0.452527	−	0.891751i	$-0.649477\pi$
$937$	−14.4887	+	3.30694i	−0.473324	+	0.108033i	−0.0207967	+	0.999784i	$0.506620\pi$
$938$	6.47668	+	8.12150i	0.211471	+	0.265176i
$939$	6.91848	+	1.57910i	0.225776	+	0.0515319i
$940$	−4.98649	−	18.9124i	−0.162641	−	0.616855i
$941$	−9.73710	+	42.6610i	−0.317420	+	1.39071i	0.524639	+	0.851325i	$0.324200\pi$
$941$	−9.73710	+	42.6610i	−0.317420	+	1.39071i	−0.842059	+	0.539385i	$0.818657\pi$
$942$	18.3307	−	8.82761i	0.597247	−	0.287619i
$943$	6.79695	−	3.27324i	0.221339	−	0.106591i
$944$	1.52612	−	6.68638i	0.0496711	−	0.217623i
$945$	−8.05277	+	2.12321i	−0.261956	+	0.0690680i
$946$	−15.9647	−	3.64383i	−0.519056	−	0.118471i
$947$	−24.5496	−	30.7843i	−0.797756	−	1.00035i	−0.999780	−	0.0209734i	$-0.993323\pi$
$947$	−24.5496	−	30.7843i	−0.797756	−	1.00035i	0.202024	−	0.979380i	$-0.435248\pi$
$948$	4.28194	−	0.977325i	0.139071	−	0.0317420i
$949$	11.6050	−	2.64876i	0.376714	−	0.0859824i
$950$	2.33128	+	0.370501i	0.0756366	+	0.0120206i
$951$	−18.5812	+	8.94822i	−0.602536	+	0.290166i
$952$	0.422089	−	0.876476i	0.0136800	−	0.0284068i
$953$	−4.62789	+	3.69062i	−0.149912	+	0.119551i	−0.695574	−	0.718455i	$-0.744850\pi$
$953$	−4.62789	+	3.69062i	−0.149912	+	0.119551i	0.545662	+	0.838006i	$0.316278\pi$
$954$	−6.11425	−	4.87595i	−0.197956	−	0.157865i
$955$	−9.34622	−	1.80719i	−0.302437	−	0.0584794i
$956$	−6.64359			−0.214869
$957$	−1.17327	−	31.6308i	−0.0379265	−	1.02248i
$958$			31.1917i			1.00776i
$959$	−3.89096	+	8.07967i	−0.125646	+	0.260906i
$960$	−1.90822	−	0.841658i	−0.0615874	−	0.0271644i
$961$	−12.9635	−	16.2557i	−0.418178	−	0.524378i
$962$	−0.914725	+	1.89945i	−0.0294919	+	0.0612406i
$963$	−16.2294	−	33.7008i	−0.522986	−	1.08599i
$964$	−8.84209	+	11.0876i	−0.284785	+	0.357109i
$965$	16.5527	−	8.66376i	0.532852	−	0.278896i
$966$	0.513351	+	2.24914i	0.0165168	+	0.0723648i
$967$	−9.07454	−	11.3791i	−0.291817	−	0.365928i	0.614213	−	0.789140i	$-0.289474\pi$
$967$	−9.07454	−	11.3791i	−0.291817	−	0.365928i	−0.906030	+	0.423213i	$0.860902\pi$
$968$	−6.38924	+	27.9931i	−0.205358	+	0.899732i
$969$			0.550334i			0.0176793i
$970$	28.5391	−	0.953440i	0.916337	−	0.0306131i
$971$	22.3386	+	46.3866i	0.716880	+	1.48862i	0.866131	+	0.499818i	$0.166600\pi$
$971$	22.3386	+	46.3866i	0.716880	+	1.48862i	−0.149250	+	0.988799i	$0.547686\pi$
$972$	14.5526	−	7.00815i	0.466774	−	0.224787i
$973$	16.4328	+	3.75068i	0.526812	+	0.120241i
$974$			32.4532i			1.03987i
$975$	−5.35956	+	1.60632i	−0.171643	+	0.0514433i
$976$	6.29607	−	5.02095i	0.201532	−	0.160717i
$977$	23.2812	−	5.31377i	0.744830	−	0.170003i	0.166769	−	0.985996i	$-0.446667\pi$
$977$	23.2812	−	5.31377i	0.744830	−	0.170003i	0.578061	+	0.815993i	$0.303809\pi$
$978$	0.635447	+	2.78407i	0.0203193	+	0.0890249i
$979$	3.29221	−	4.12831i	0.105220	−	0.131941i
$980$	−9.28275	−	10.8745i	−0.296527	−	0.347374i
$981$	0.0849108	+	0.0408909i	0.00271099	+	0.00130555i
$982$	−25.5242	+	20.3549i	−0.814510	+	0.649550i
$983$	−1.17910	+	1.47854i	−0.0376073	+	0.0471581i	−0.800280	−	0.599627i	$-0.795316\pi$
$983$	−1.17910	+	1.47854i	−0.0376073	+	0.0471581i	0.762672	+	0.646785i	$0.223887\pi$
$984$	0.960746	−	1.99501i	0.0306275	−	0.0635986i
$985$	49.4893	−	13.0484i	1.57686	−	0.415758i
$986$	5.95148	−	3.14298i	0.189534	−	0.100093i
$987$			6.35020i			0.202129i
$988$	0.510322	+	0.245758i	0.0162355	+	0.00781861i
$989$	6.45575	+	5.14829i	0.205281	+	0.163706i
$990$	24.0788	+	17.9203i	0.765273	+	0.569545i
$991$	−30.6585	−	14.7644i	−0.973900	−	0.469005i	−0.121897	−	0.992543i	$-0.538898\pi$
$991$	−30.6585	−	14.7644i	−0.973900	−	0.469005i	−0.852003	+	0.523537i	$0.824612\pi$
$992$	3.12251	+	6.48396i	0.0991398	+	0.205866i
$993$	14.1972	+	11.3219i	0.450535	+	0.359290i
$994$	−2.61771	+	0.597475i	−0.0830288	+	0.0189508i
$995$	30.5356	−	15.9824i	0.968043	−	0.506677i
$996$	7.91900	−	6.31519i	0.250923	−	0.200105i
$997$	−2.51151	+	11.0036i	−0.0795402	+	0.348488i	−0.999001	−	0.0446940i	$-0.985769\pi$
$997$	−2.51151	+	11.0036i	−0.0795402	+	0.348488i	0.919461	+	0.393182i	$0.128626\pi$
$998$	−21.2601			−0.672977
$999$	−1.87094	+	8.19712i	−0.0591939	+	0.259346i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	290.2.l.b.129.3	yes	48
5.4	even	2		290.2.l.a.129.6	yes	48
29.9	even	14		290.2.l.a.9.6	✓	48
145.9	even	14	inner	290.2.l.b.9.3	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
290.2.l.a.9.6	✓	48	29.9	even	14
290.2.l.a.129.6	yes	48	5.4	even	2
290.2.l.b.9.3	yes	48	145.9	even	14	inner
290.2.l.b.129.3	yes	48	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 290 = 2 \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	290.l (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.900969 + 0.433884i) q^{2} +(-0.581531 + 0.729217i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.424505 - 2.19540i) q^{5} +(-0.840337 + 0.404685i) q^{6} +(0.608556 + 0.485308i) q^{7} +(0.222521 + 0.974928i) q^{8} +(0.473984 + 2.07666i) q^{9} +(1.33502 - 1.79380i) q^{10} +(6.14382 + 1.40229i) q^{11} -0.932703 q^{12} +(-1.16968 - 0.266972i) q^{13} +(0.337723 + 0.701290i) q^{14} +(1.35406 + 1.58625i) q^{15} +(-0.222521 + 0.974928i) q^{16} -1.24981 q^{17} +(-0.473984 + 2.07666i) q^{18} +(-0.369108 + 0.294354i) q^{19} +(1.98111 - 1.03692i) q^{20} +(-0.707789 + 0.161548i) q^{21} +(4.92697 + 3.92912i) q^{22} +(-1.37875 - 2.86300i) q^{23} +(-0.840337 - 0.404685i) q^{24} +(-4.63959 - 1.86392i) q^{25} +(-0.938010 - 0.748038i) q^{26} +(-4.31098 - 2.07606i) q^{27} +0.778373i q^{28} +(-3.19922 + 4.33185i) q^{29} +(0.531719 + 2.01667i) q^{30} +(3.12251 - 6.48396i) q^{31} +(-0.623490 + 0.781831i) q^{32} +(-4.59540 + 3.66471i) q^{33} +(-1.12604 - 0.542270i) q^{34} +(1.32378 - 1.13001i) q^{35} +(-1.32807 + 1.66535i) q^{36} +(-0.391015 - 1.71315i) q^{37} +(-0.460270 + 0.105054i) q^{38} +(0.874885 - 0.697698i) q^{39} +(2.23482 - 0.0746612i) q^{40} +2.37406i q^{41} +(-0.707789 - 0.161548i) q^{42} +(-2.34116 + 1.12744i) q^{43} +(2.73426 + 5.67775i) q^{44} +(4.76031 - 0.159033i) q^{45} -3.17770i q^{46} +(1.94638 - 8.52763i) q^{47} +(-0.581531 - 0.729217i) q^{48} +(-1.42283 - 6.23382i) q^{49} +(-3.37140 - 3.69238i) q^{50} +(0.726801 - 0.911380i) q^{51} +(-0.520556 - 1.08095i) q^{52} +(-1.59298 + 3.30786i) q^{53} +(-2.98329 - 3.74093i) q^{54} +(5.68667 - 12.8929i) q^{55} +(-0.337723 + 0.701290i) q^{56} -0.440336i q^{57} +(-4.76192 + 2.51478i) q^{58} -6.85833 q^{59} +(-0.395937 + 2.04766i) q^{60} +(-6.29607 - 5.02095i) q^{61} +(5.62657 - 4.48704i) q^{62} +(-0.719372 + 1.49379i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(-1.08265 + 2.45459i) q^{65} +(-5.73037 + 1.30792i) q^{66} +(13.0109 - 2.96966i) q^{67} +(-0.779241 - 0.977138i) q^{68} +(2.88954 + 0.659518i) q^{69} +(1.68298 - 0.443738i) q^{70} +(-0.767595 + 3.36306i) q^{71} +(-1.91912 + 0.924200i) q^{72} +(-8.93897 + 4.30478i) q^{73} +(0.391015 - 1.71315i) q^{74} +(4.05727 - 2.29934i) q^{75} +(-0.460270 - 0.105054i) q^{76} +(3.05832 + 3.83502i) q^{77} +(1.09096 - 0.249005i) q^{78} +(-4.59089 + 1.04784i) q^{79} +(2.04590 + 0.902385i) q^{80} +(-1.73650 + 0.836254i) q^{81} +(-1.03007 + 2.13895i) q^{82} +(-8.49037 + 6.77085i) q^{83} +(-0.567603 - 0.452648i) q^{84} +(-0.530549 + 2.74383i) q^{85} -2.59849 q^{86} +(-1.29841 - 4.85204i) q^{87} +6.30182i q^{88} +(0.363551 - 0.754922i) q^{89} +(4.35790 + 1.92214i) q^{90} +(-0.582253 - 0.730122i) q^{91} +(1.37875 - 2.86300i) q^{92} +(2.91238 + 6.04761i) q^{93} +(5.45363 - 6.83863i) q^{94} +(0.489537 + 0.935295i) q^{95} +(-0.207546 - 0.909319i) q^{96} +(7.96210 + 9.98415i) q^{97} +(1.42283 - 6.23382i) q^{98} +13.4233i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 8 q^{2} - 4 q^{3} - 8 q^{4} + 8 q^{5} - 3 q^{6} + 7 q^{7} + 8 q^{8} - 8 q^{9} - q^{10} + 10 q^{12} - 10 q^{15} - 8 q^{16} - 30 q^{17} + 8 q^{18} - 13 q^{20} + 7 q^{21} + 7 q^{23} - 3 q^{24} - 12 q^{25}+ \cdots - 27 q^{98}+O(q^{100}) \) 48 * q + 8 * q^2 - 4 * q^3 - 8 * q^4 + 8 * q^5 - 3 * q^6 + 7 * q^7 + 8 * q^8 - 8 * q^9 - q^10 + 10 * q^12 - 10 * q^15 - 8 * q^16 - 30 * q^17 + 8 * q^18 - 13 * q^20 + 7 * q^21 + 7 * q^23 - 3 * q^24 - 12 * q^25 + 21 * q^26 + 11 * q^27 - 10 * q^29 - 18 * q^30 + 14 * q^31 + 8 * q^32 - 14 * q^33 - 33 * q^34 - q^36 - 44 * q^37 - 28 * q^38 - 14 * q^39 - 8 * q^40 + 7 * q^42 - 8 * q^43 + 14 * q^44 + 25 * q^45 - 6 * q^47 - 4 * q^48 + 27 * q^49 + 5 * q^50 + 24 * q^51 + 77 * q^53 + 10 * q^54 - 32 * q^55 + 10 * q^58 - 24 * q^59 + 4 * q^60 + 56 * q^61 - 8 * q^64 - 34 * q^65 + 42 * q^67 - 2 * q^68 + 28 * q^69 - 30 * q^71 + 22 * q^72 - 29 * q^73 + 44 * q^74 - 32 * q^75 - 28 * q^76 - 30 * q^77 + 14 * q^78 + q^80 - 130 * q^81 - 42 * q^82 - 42 * q^84 + 28 * q^85 - 62 * q^86 + 32 * q^87 + 31 * q^90 - 106 * q^91 - 7 * q^92 - 70 * q^93 + 27 * q^94 + 165 * q^95 + 4 * q^96 - 49 * q^97 - 27 * q^98

Introduction

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