LMFDB - Embedded newform 185.2.p.a.103.12

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [185,2,Mod(82,185)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(185, base_ring=CyclotomicField(12)) chi = DirichletCharacter(H, H._module([3, 1])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("185.82"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$N$	$=$	$185 = 5 \cdot 37$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	185.p (of order $12$ , degree $4$ , 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:	$1.47723243739$
Analytic rank:	$0$
Dimension:	$68$
Relative dimension:	$17$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			103.12
Character	$\chi$	$=$	185.103
Dual form			185.2.p.a.97.12

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.647656 + 1.12177i) q^{2} +(-0.366504 - 1.36781i) q^{3} +(0.161082 - 0.279003i) q^{4} +(0.213292 + 2.22587i) q^{5} +(1.29701 - 1.29701i) q^{6} +(0.0333107 + 0.124317i) q^{7} +3.00793 q^{8} +(0.861493 - 0.497383i) q^{9} +(-2.35879 + 1.68087i) q^{10} +2.33644i q^{11} +(-0.440660 - 0.118075i) q^{12} +(2.86768 - 4.96696i) q^{13} +(-0.117882 + 0.117882i) q^{14} +(2.96640 - 1.10753i) q^{15} +(1.62594 + 2.81621i) q^{16} +(-4.88071 + 2.81788i) q^{17} +(1.11590 + 0.644267i) q^{18} +(1.92696 - 0.516328i) q^{19} +(0.655382 + 0.299040i) q^{20} +(0.157834 - 0.0911256i) q^{21} +(-2.62096 + 1.51321i) q^{22} -9.37639 q^{23} +(-1.10242 - 4.11428i) q^{24} +(-4.90901 + 0.949519i) q^{25} +7.42908 q^{26} +(-3.99999 - 3.99999i) q^{27} +(0.0400506 + 0.0107315i) q^{28} +(-4.17184 + 4.17184i) q^{29} +(3.16361 + 2.61033i) q^{30} +(-2.28474 - 2.28474i) q^{31} +(0.901828 - 1.56201i) q^{32} +(3.19581 - 0.856316i) q^{33} +(-6.32204 - 3.65003i) q^{34} +(-0.269610 + 0.100661i) q^{35} -0.320478i q^{36} +(1.97262 + 5.75402i) q^{37} +(1.82721 + 1.82721i) q^{38} +(-7.84488 - 2.10203i) q^{39} +(0.641566 + 6.69527i) q^{40} +(5.79719 + 3.34701i) q^{41} +(0.204445 + 0.118036i) q^{42} -9.62176 q^{43} +(0.651874 + 0.376360i) q^{44} +(1.29086 + 1.81149i) q^{45} +(-6.07268 - 10.5182i) q^{46} +(7.16056 - 7.16056i) q^{47} +(3.25613 - 3.25613i) q^{48} +(6.04783 - 3.49172i) q^{49} +(-4.24450 - 4.89184i) q^{50} +(5.64312 + 5.64312i) q^{51} +(-0.923864 - 1.60018i) q^{52} +(0.612686 - 2.28658i) q^{53} +(1.89646 - 7.07770i) q^{54} +(-5.20062 + 0.498344i) q^{55} +(0.100196 + 0.373938i) q^{56} +(-1.41248 - 2.44649i) q^{57} +(-7.38178 - 1.97794i) q^{58} +(1.04177 - 3.88793i) q^{59} +(0.168830 - 1.00604i) q^{60} +(1.21728 - 0.326171i) q^{61} +(1.08324 - 4.04269i) q^{62} +(0.0905303 + 0.0905303i) q^{63} +8.84006 q^{64} +(11.6675 + 5.32367i) q^{65} +(3.03038 + 3.03038i) q^{66} +(-6.26591 + 1.67895i) q^{67} +1.81564i q^{68} +(3.43648 + 12.8251i) q^{69} +(-0.287534 - 0.237247i) q^{70} +(-3.22082 + 5.57863i) q^{71} +(2.59131 - 1.49609i) q^{72} +(-2.20492 + 2.20492i) q^{73} +(-5.17714 + 5.93946i) q^{74} +(3.09794 + 6.36660i) q^{75} +(0.166343 - 0.620799i) q^{76} +(-0.290460 + 0.0778287i) q^{77} +(-2.72279 - 10.1616i) q^{78} +(3.38283 - 0.906427i) q^{79} +(-5.92173 + 4.21981i) q^{80} +(-2.51307 + 4.35277i) q^{81} +8.67085i q^{82} +(1.44428 - 5.39012i) q^{83} -0.0587149i q^{84} +(-7.31325 - 10.2628i) q^{85} +(-6.23159 - 10.7934i) q^{86} +(7.23528 + 4.17729i) q^{87} +7.02786i q^{88} +(-3.70388 - 0.992453i) q^{89} +(-1.19604 + 2.62127i) q^{90} +(0.713004 + 0.191049i) q^{91} +(-1.51037 + 2.61604i) q^{92} +(-2.28773 + 3.96246i) q^{93} +(12.6701 + 3.39495i) q^{94} +(1.56029 + 4.17905i) q^{95} +(-2.46706 - 0.661047i) q^{96} +3.93759i q^{97} +(7.83384 + 4.52287i) q^{98} +(1.16211 + 2.01283i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$68 q - 4 q^{2} - 8 q^{3} - 30 q^{4} - 10 q^{5} - 8 q^{6} - 2 q^{7} + 12 q^{8} - 6 q^{10} + 14 q^{12} - 6 q^{13} - 8 q^{15} - 26 q^{16} + 12 q^{17} + 18 q^{18} + 4 q^{19} + 48 q^{20} - 12 q^{21} + 6 q^{22}+ \cdots + 32 q^{99}+O(q^{100})$ 68 * q - 4 * q^2 - 8 * q^3 - 30 * q^4 - 10 * q^5 - 8 * q^6 - 2 * q^7 + 12 * q^8 - 6 * q^10 + 14 * q^12 - 6 * q^13 - 8 * q^15 - 26 * q^16 + 12 * q^17 + 18 * q^18 + 4 * q^19 + 48 * q^20 - 12 * q^21 + 6 * q^22 - 12 * q^23 + 10 * q^25 - 24 * q^26 - 68 * q^27 - 26 * q^28 + 14 * q^29 + 10 * q^30 - 24 * q^31 - 16 * q^32 - 2 * q^33 - 10 * q^35 - 16 * q^37 - 36 * q^38 + 52 * q^39 + 42 * q^40 - 18 * q^41 + 132 * q^42 + 8 * q^43 - 36 * q^44 - 32 * q^45 - 52 * q^46 - 24 * q^47 - 60 * q^48 - 36 * q^49 - 8 * q^50 - 8 * q^51 - 26 * q^52 + 82 * q^53 + 40 * q^54 + 18 * q^55 + 16 * q^56 - 6 * q^57 + 86 * q^58 - 8 * q^59 + 36 * q^60 + 4 * q^61 + 10 * q^62 - 48 * q^63 - 20 * q^64 + 8 * q^65 + 80 * q^66 - 40 * q^67 + 8 * q^69 - 82 * q^70 + 4 * q^71 - 90 * q^72 - 60 * q^73 - 44 * q^74 + 64 * q^75 + 72 * q^76 + 66 * q^77 - 24 * q^78 + 56 * q^79 + 34 * q^80 - 6 * q^81 + 24 * q^83 - 20 * q^85 - 4 * q^86 - 84 * q^87 - 22 * q^89 - 50 * q^90 + 44 * q^91 + 44 * q^92 - 34 * q^93 - 20 * q^94 - 28 * q^95 - 8 * q^96 + 42 * q^98 + 32 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/185\mathbb{Z}\right)^\times$ .

$n$	$76$	$112$
$\chi(n)$	$e\left(\frac{7}{12}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	0.647656	+	1.12177i	0.457962	+	0.793214i	0.998853	−	0.0478788i	$-0.0152461\pi$
$2$	0.647656	+	1.12177i	0.457962	+	0.793214i	−0.540891	+	0.841093i	$0.681913\pi$
$3$	−0.366504	−	1.36781i	−0.211601	−	0.789706i	−0.987335	−	0.158647i	$-0.949287\pi$
$3$	−0.366504	−	1.36781i	−0.211601	−	0.789706i	0.775734	−	0.631060i	$-0.217380\pi$
$4$	0.161082	−	0.279003i	0.0805411	−	0.139501i
$5$	0.213292	+	2.22587i	0.0953869	+	0.995440i
$5$	0.213292	+	2.22587i	0.0953869	+	0.995440i
$6$	1.29701	−	1.29701i	0.529501	−	0.529501i
$7$	0.0333107	+	0.124317i	0.0125903	+	0.0469875i	0.971935	−	0.235249i	$-0.0755905\pi$
$7$	0.0333107	+	0.124317i	0.0125903	+	0.0469875i	−0.959345	+	0.282236i	$0.908924\pi$
$8$	3.00793			1.06346
$9$	0.861493	−	0.497383i	0.287164	−	0.165794i
$10$	−2.35879	+	1.68087i	−0.745914	+	0.531536i
$11$			2.33644i			0.704464i	0.935913	+	0.352232i	$0.114577\pi$
$11$			2.33644i			0.704464i	−0.935913	+	0.352232i	$0.885423\pi$
$12$	−0.440660	−	0.118075i	−0.127208	−	0.0340852i
$13$	2.86768	−	4.96696i	0.795351	−	1.37759i	−0.127266	−	0.991869i	$-0.540620\pi$
$13$	2.86768	−	4.96696i	0.795351	−	1.37759i	0.922616	−	0.385719i	$-0.126047\pi$
$14$	−0.117882	+	0.117882i	−0.0315053	+	0.0315053i
$15$	2.96640	−	1.10753i	0.765922	−	0.285964i
$16$	1.62594	+	2.81621i	0.406485	+	0.704053i
$17$	−4.88071	+	2.81788i	−1.18375	+	0.683436i	−0.956878	−	0.290490i	$-0.906182\pi$
$17$	−4.88071	+	2.81788i	−1.18375	+	0.683436i	−0.226867	+	0.973926i	$0.572848\pi$
$18$	1.11590	+	0.644267i	0.263021	+	0.151855i
$19$	1.92696	−	0.516328i	0.442076	−	0.118454i	−0.0309134	−	0.999522i	$-0.509842\pi$
$19$	1.92696	−	0.516328i	0.442076	−	0.118454i	0.472989	+	0.881068i	$0.343175\pi$
$20$	0.655382	+	0.299040i	0.146548	+	0.0668673i
$21$	0.157834	−	0.0911256i	0.0344422	−	0.0198852i
$22$	−2.62096	+	1.51321i	−0.558791	+	0.322618i
$23$	−9.37639			−1.95511			−0.977556	−	0.210677i	$-0.932433\pi$
$23$	−9.37639			−1.95511			−0.977556	+	0.210677i	$0.932433\pi$
$24$	−1.10242	−	4.11428i	−0.225030	−	0.839824i
$25$	−4.90901	+	0.949519i	−0.981803	+	0.189904i
$26$	7.42908			1.45696
$27$	−3.99999	−	3.99999i	−0.769798	−	0.769798i
$28$	0.0400506	+	0.0107315i	0.00756886	+	0.00202807i
$29$	−4.17184	+	4.17184i	−0.774691	+	0.774691i	−0.978923	−	0.204232i	$-0.934530\pi$
$29$	−4.17184	+	4.17184i	−0.774691	+	0.774691i	0.204232	+	0.978923i	$0.434530\pi$
$30$	3.16361	+	2.61033i	0.577594	+	0.476579i
$31$	−2.28474	−	2.28474i	−0.410351	−	0.410351i	0.471510	−	0.881861i	$-0.343709\pi$
$31$	−2.28474	−	2.28474i	−0.410351	−	0.410351i	−0.881861	+	0.471510i	$0.843709\pi$
$32$	0.901828	−	1.56201i	0.159422	−	0.276127i
$33$	3.19581	−	0.856316i	0.556320	−	0.149065i
$34$	−6.32204	−	3.65003i	−1.08422	−	0.625975i
$35$	−0.269610	+	0.100661i	−0.0455723	+	0.0170149i
$36$		−	0.320478i		−	0.0534131i
$37$	1.97262	+	5.75402i	0.324296	+	0.945956i
$37$	1.97262	+	5.75402i	0.324296	+	0.945956i
$38$	1.82721	+	1.82721i	0.296413	+	0.296413i
$39$	−7.84488	−	2.10203i	−1.25619	−	0.336594i
$40$	0.641566	+	6.69527i	0.101440	+	1.05861i
$41$	5.79719	+	3.34701i	0.905370	+	0.522715i	0.878938	−	0.476935i	$-0.158252\pi$
$41$	5.79719	+	3.34701i	0.905370	+	0.522715i	0.0264311	+	0.999651i	$0.491586\pi$
$42$	0.204445	+	0.118036i	0.0315465	+	0.0182134i
$43$	−9.62176			−1.46730			−0.733652	−	0.679525i	$-0.762186\pi$
$43$	−9.62176			−1.46730			−0.733652	+	0.679525i	$0.762186\pi$
$44$	0.651874	+	0.376360i	0.0982737	+	0.0567383i
$45$	1.29086	+	1.81149i	0.192430	+	0.270040i
$46$	−6.07268	−	10.5182i	−0.895367	−	1.55082i
$47$	7.16056	−	7.16056i	1.04448	−	1.04448i	0.0455116	−	0.998964i	$-0.485508\pi$
$47$	7.16056	−	7.16056i	1.04448	−	1.04448i	0.998964	−	0.0455116i	$-0.0144918\pi$
$48$	3.25613	−	3.25613i	0.469982	−	0.469982i
$49$	6.04783	−	3.49172i	0.863976	−	0.498817i
$50$	−4.24450	−	4.89184i	−0.600263	−	0.691811i
$51$	5.64312	+	5.64312i	0.790195	+	0.790195i
$52$	−0.923864	−	1.60018i	−0.128117	−	0.221905i
$53$	0.612686	−	2.28658i	0.0841590	−	0.314085i	−0.910995	−	0.412418i	$-0.864684\pi$
$53$	0.612686	−	2.28658i	0.0841590	−	0.314085i	0.995154	+	0.0983327i	$0.0313509\pi$
$54$	1.89646	−	7.07770i	0.258076	−	0.963153i
$55$	−5.20062	+	0.498344i	−0.701252	+	0.0671966i
$56$	0.100196	+	0.373938i	0.0133893	+	0.0499695i
$57$	−1.41248	−	2.44649i	−0.187088	−	0.324045i
$58$	−7.38178	−	1.97794i	−0.969275	−	0.259716i
$59$	1.04177	−	3.88793i	0.135626	−	0.506165i	−0.864368	−	0.502860i	$-0.832281\pi$
$59$	1.04177	−	3.88793i	0.135626	−	0.506165i	0.999995	−	0.00330515i	$-0.00105207\pi$
$60$	0.168830	−	1.00604i	0.0217958	−	0.129879i
$61$	1.21728	−	0.326171i	0.155857	−	0.0417619i	−0.180047	−	0.983658i	$-0.557625\pi$
$61$	1.21728	−	0.326171i	0.155857	−	0.0417619i	0.335904	+	0.941896i	$0.390958\pi$
$62$	1.08324	−	4.04269i	0.137571	−	0.513422i
$63$	0.0905303	+	0.0905303i	0.0114057	+	0.0114057i
$64$	8.84006			1.10501
$65$	11.6675	+	5.32367i	1.44717	+	0.660320i
$66$	3.03038	+	3.03038i	0.373014	+	0.373014i
$67$	−6.26591	+	1.67895i	−0.765503	+	0.205116i	−0.620384	−	0.784298i	$-0.713023\pi$
$67$	−6.26591	+	1.67895i	−0.765503	+	0.205116i	−0.145119	+	0.989414i	$0.546357\pi$
$68$			1.81564i			0.220179i
$69$	3.43648	+	12.8251i	0.413704	+	1.54396i
$70$	−0.287534	−	0.237247i	−0.0343668	−	0.0283565i
$71$	−3.22082	+	5.57863i	−0.382241	+	0.662062i	−0.991382	−	0.131000i	$-0.958181\pi$
$71$	−3.22082	+	5.57863i	−0.382241	+	0.662062i	0.609141	+	0.793062i	$0.291514\pi$
$72$	2.59131	−	1.49609i	0.305389	−	0.176316i
$73$	−2.20492	+	2.20492i	−0.258066	+	0.258066i	−0.824267	−	0.566201i	$-0.808413\pi$
$73$	−2.20492	+	2.20492i	−0.258066	+	0.258066i	0.566201	+	0.824267i	$0.308413\pi$
$74$	−5.17714	+	5.93946i	−0.601830	+	0.690448i
$75$	3.09794	+	6.36660i	0.357719	+	0.735152i
$76$	0.166343	−	0.620799i	0.0190808	−	0.0712105i
$77$	−0.290460	+	0.0778287i	−0.0331010	+	0.00886940i
$78$	−2.72279	−	10.1616i	−0.308295	−	1.15057i
$79$	3.38283	−	0.906427i	0.380598	−	0.101981i	−0.0634473	−	0.997985i	$-0.520209\pi$
$79$	3.38283	−	0.906427i	0.380598	−	0.101981i	0.444046	+	0.896004i	$0.353543\pi$
$80$	−5.92173	+	4.21981i	−0.662069	+	0.471789i
$81$	−2.51307	+	4.35277i	−0.279230	+	0.483641i
$82$			8.67085i			0.957536i
$83$	1.44428	−	5.39012i	0.158530	−	0.591642i	−0.840247	−	0.542204i	$-0.817590\pi$
$83$	1.44428	−	5.39012i	0.158530	−	0.591642i	0.998777	−	0.0494387i	$-0.0157432\pi$
$84$		−	0.0587149i		−	0.00640632i
$85$	−7.31325	−	10.2628i	−0.793233	−	1.11316i
$86$	−6.23159	−	10.7934i	−0.671970	−	1.16389i
$87$	7.23528	+	4.17729i	0.775704	+	0.447853i
$88$			7.02786i			0.749172i
$89$	−3.70388	−	0.992453i	−0.392611	−	0.105200i	0.0571122	−	0.998368i	$-0.481811\pi$
$89$	−3.70388	−	0.992453i	−0.392611	−	0.105200i	−0.449723	+	0.893168i	$0.648477\pi$
$90$	−1.19604	+	2.62127i	−0.126074	+	0.276307i
$91$	0.713004	+	0.191049i	0.0747431	+	0.0200274i
$92$	−1.51037	+	2.61604i	−0.157467	+	0.272741i
$93$	−2.28773	+	3.96246i	−0.237226	+	0.410888i
$94$	12.6701	+	3.39495i	1.30682	+	0.350162i
$95$	1.56029	+	4.17905i	0.160082	+	0.428761i
$96$	−2.46706	−	0.661047i	−0.251793	−	0.0674678i
$97$			3.93759i			0.399801i	0.979816	+	0.199901i	$0.0640619\pi$
$97$			3.93759i			0.399801i	−0.979816	+	0.199901i	$0.935938\pi$
$98$	7.83384	+	4.52287i	0.791337	+	0.456879i
$99$	1.16211	+	2.01283i	0.116796	+	0.202297i
$100$	−0.525836	+	1.52258i	−0.0525836	+	0.152258i
$101$			6.74555i			0.671208i	0.942003	+	0.335604i	$0.108940\pi$
$101$			6.74555i			0.671208i	−0.942003	+	0.335604i	$0.891060\pi$
$102$	−2.67550	+	9.98511i	−0.264914	+	0.988674i
$103$			8.73530i			0.860714i	0.902659	+	0.430357i	$0.141612\pi$
$103$			8.73530i			0.860714i	−0.902659	+	0.430357i	$0.858388\pi$
$104$	8.62577	−	14.9403i	0.845827	−	1.46501i
$105$	0.236499	+	0.331882i	0.0230799	+	0.0323884i
$106$	2.96183	−	0.793621i	0.287679	−	0.0770833i
$107$	0.0457987	+	0.170923i	0.00442753	+	0.0165238i	0.968104	−	0.250548i	$-0.0806107\pi$
$107$	0.0457987	+	0.170923i	0.00442753	+	0.0165238i	−0.963677	+	0.267071i	$0.913944\pi$
$108$	−1.76033	+	0.471680i	−0.169388	+	0.0453875i
$109$	−1.53827	+	5.74089i	−0.147339	+	0.549878i	0.852301	+	0.523052i	$0.175207\pi$
$109$	−1.53827	+	5.74089i	−0.147339	+	0.549878i	−0.999640	+	0.0268258i	$0.991460\pi$
$110$	−3.92725	−	5.51117i	−0.374448	−	0.525469i
$111$	7.14745	−	4.80704i	0.678406	−	0.456264i
$112$	−0.295943	+	0.295943i	−0.0279640	+	0.0279640i
$113$	−2.45101	+	1.41509i	−0.230572	+	0.133121i	−0.610836	−	0.791757i	$-0.709167\pi$
$113$	−2.45101	+	1.41509i	−0.230572	+	0.133121i	0.380264	+	0.924878i	$0.375833\pi$
$114$	1.82960	−	3.16897i	0.171358	−	0.296801i
$115$	−1.99990	−	20.8706i	−0.186492	−	1.94620i
$116$	0.491945	+	1.83596i	0.0456759	+	0.170465i
$117$		−	5.70534i		−	0.527459i
$118$	5.03608	−	1.34941i	0.463609	−	0.124224i
$119$	−0.512891	−	0.512891i	−0.0470166	−	0.0470166i
$120$	8.92273	−	3.33138i	0.814530	−	0.304112i
$121$	5.54103			0.503730
$122$	1.15427	+	1.15427i	0.104503	+	0.104503i
$123$	2.45339	−	9.15616i	0.221214	−	0.825583i
$124$	−1.00548	+	0.269417i	−0.0902947	+	0.0241944i
$125$	−3.16056	−	10.7243i	−0.282689	−	0.959212i
$126$	−0.0429220	+	0.160187i	−0.00382380	+	0.0142706i
$127$	9.68356	+	2.59470i	0.859277	+	0.230243i	0.661445	−	0.749993i	$-0.269943\pi$
$127$	9.68356	+	2.59470i	0.859277	+	0.230243i	0.197832	+	0.980236i	$0.436610\pi$
$128$	3.92167	+	6.79253i	0.346630	+	0.600380i
$129$	3.52641	+	13.1608i	0.310483	+	1.15874i
$130$	1.58456	+	16.5362i	0.138975	+	1.45032i
$131$	4.63620	−	17.3025i	0.405066	−	1.51173i	−0.398867	−	0.917009i	$-0.630597\pi$
$131$	4.63620	−	17.3025i	0.405066	−	1.51173i	0.803933	−	0.594719i	$-0.202737\pi$
$132$	0.275875	−	1.02958i	0.0240118	−	0.0896132i
$133$	0.128377	+	0.222356i	0.0111317	+	0.0192807i
$134$	−5.94156	−	5.94156i	−0.513273	−	0.513273i
$135$	8.05030	−	9.75663i	0.692860	−	0.839717i
$136$	−14.6808	+	8.47598i	−1.25887	+	0.726809i
$137$	13.1909	−	13.1909i	1.12697	−	1.12697i	0.136305	−	0.990667i	$-0.456477\pi$
$137$	13.1909	−	13.1909i	1.12697	−	1.12697i	0.990667	−	0.136305i	$-0.0435227\pi$
$138$	−12.1612	+	12.1612i	−1.03523	+	1.03523i
$139$	−6.04331	−	10.4673i	−0.512587	−	0.887827i	−0.999893	−	0.0145956i	$-0.995354\pi$
$139$	−6.04331	−	10.4673i	−0.512587	−	0.887827i	0.487307	−	0.873231i	$-0.337979\pi$
$140$	−0.0153446	+	0.0914365i	−0.00129685	+	0.00772780i
$141$	−12.4187	−	7.16993i	−1.04584	−	0.603817i
$142$	−8.34395			−0.700209
$143$	11.6050	+	6.70017i	0.970461	+	0.560296i
$144$	2.80147	+	1.61743i	0.233456	+	0.134786i
$145$	−10.1758	−	8.39616i	−0.845054	−	0.697263i
$146$	−3.90144	−	1.04539i	−0.322886	−	0.0865170i
$147$	−6.99257	−	6.99257i	−0.576737	−	0.576737i
$148$	1.92314	+	0.376506i	0.158081	+	0.0309486i
$149$			21.8001i			1.78594i	0.450121	+	0.892968i	$0.351381\pi$
$149$			21.8001i			1.78594i	−0.450121	+	0.892968i	$0.648619\pi$
$150$	−5.13549	+	7.59856i	−0.419311	+	0.620419i
$151$	−0.716854	−	0.413876i	−0.0583368	−	0.0336808i	0.470548	−	0.882374i	$-0.344056\pi$
$151$	−0.716854	−	0.413876i	−0.0583368	−	0.0336808i	−0.528885	+	0.848694i	$0.677390\pi$
$152$	5.79617	−	1.55308i	0.470132	−	0.125971i
$153$	−2.80313	+	4.85516i	−0.226620	+	0.392517i
$154$	−0.275425	−	0.275425i	−0.0221944	−	0.0221944i
$155$	4.59822	−	5.57286i	0.369338	−	0.447622i
$156$	−1.85014	+	1.85014i	−0.148130	+	0.148130i
$157$	−1.21071	−	0.324408i	−0.0966251	−	0.0258906i	0.210183	−	0.977662i	$-0.432594\pi$
$157$	−1.21071	−	0.324408i	−0.0966251	−	0.0258906i	−0.306808	+	0.951772i	$0.599261\pi$
$158$	3.20772	+	3.20772i	0.255192	+	0.255192i
$159$	−3.35216			−0.265843
$160$	3.66919	+	1.67419i	0.290075	+	0.132356i
$161$	−0.312334	−	1.16565i	−0.0246154	−	0.0918659i
$162$	−6.51042			−0.511507
$163$	0.428206	−	0.247225i	0.0335397	−	0.0193641i	−0.483136	−	0.875545i	$-0.660502\pi$
$163$	0.428206	−	0.247225i	0.0335397	−	0.0193641i	0.516676	+	0.856181i	$0.327169\pi$
$164$	1.86765	−	1.07829i	0.145839	−	0.0842001i
$165$	2.58769	+	6.93083i	0.201451	+	0.539564i
$166$	6.98189	−	1.87079i	0.541900	−	0.145202i
$167$	14.8079	+	8.54937i	1.14587	+	0.661570i	0.947878	−	0.318633i	$-0.103224\pi$
$167$	14.8079	+	8.54937i	1.14587	+	0.661570i	0.197995	+	0.980203i	$0.436557\pi$
$168$	0.474754	−	0.274099i	0.0366281	−	0.0211472i
$169$	−9.94715	−	17.2290i	−0.765165	−	1.32531i
$170$	6.77607	−	14.8506i	0.519701	−	1.13899i
$171$	1.40325	−	1.40325i	0.107309	−	0.107309i
$172$	−1.54989	+	2.68450i	−0.118178	+	0.204691i
$173$	−18.1876	−	4.87336i	−1.38278	−	0.370515i	−0.510650	−	0.859789i	$-0.670595\pi$
$173$	−18.1876	−	4.87336i	−1.38278	−	0.370515i	−0.872130	+	0.489274i	$0.837262\pi$
$174$			10.8218i			0.820399i
$175$	−0.281565	−	0.578646i	−0.0212843	−	0.0437416i
$176$	−6.57992	+	3.79892i	−0.495980	+	0.286354i
$177$	−5.69976			−0.428420
$178$	−1.28554	−	4.79769i	−0.0963551	−	0.359602i
$179$	−0.195467	+	0.195467i	−0.0146099	+	0.0146099i	−0.714374	−	0.699764i	$-0.753288\pi$
$179$	−0.195467	+	0.195467i	−0.0146099	+	0.0146099i	0.699764	+	0.714374i	$0.253288\pi$
$180$	0.713344	−	0.0683553i	0.0531695	−	0.00509490i
$181$	3.12916	−	5.41986i	0.232588	−	0.402855i	−0.725981	−	0.687715i	$-0.758614\pi$
$181$	3.12916	−	5.41986i	0.232588	−	0.402855i	0.958569	+	0.284860i	$0.0919472\pi$
$182$	0.247468	+	0.923563i	0.0183436	+	0.0684591i
$183$	−0.892280	−	1.54547i	−0.0659592	−	0.114245i
$184$	−28.2035			−2.07919
$185$	−12.3870	+	5.61807i	−0.910709	+	0.413049i
$186$	−5.92665			−0.434563
$187$	−6.58381	−	11.4035i	−0.481456	−	0.833906i
$188$	−0.844376	−	3.15125i	−0.0615825	−	0.229829i
$189$	0.364026	−	0.630511i	0.0264790	−	0.0458629i
$190$	−3.67742	+	4.45687i	−0.266788	+	0.323336i
$191$	−3.29529	+	3.29529i	−0.238439	+	0.238439i	−0.816204	−	0.577764i	$-0.803925\pi$
$191$	−3.29529	+	3.29529i	−0.238439	+	0.238439i	0.577764	+	0.816204i	$0.303925\pi$
$192$	−3.23992	−	12.0915i	−0.233821	−	0.872632i
$193$	18.7146			1.34711			0.673554	−	0.739138i	$-0.264767\pi$
$193$	18.7146			1.34711			0.673554	+	0.739138i	$0.264767\pi$
$194$	−4.41708	+	2.55020i	−0.317128	+	0.183094i
$195$	3.00560	−	17.9101i	0.215236	−	1.28257i
$196$		−	2.24981i		−	0.160701i
$197$	9.26213	+	2.48178i	0.659900	+	0.176820i	0.573201	−	0.819415i	$-0.305702\pi$
$197$	9.26213	+	2.48178i	0.659900	+	0.176820i	0.0866988	+	0.996235i	$0.472368\pi$
$198$	−1.50529	+	2.60724i	−0.106977	+	0.185289i
$199$	−5.57855	+	5.57855i	−0.395453	+	0.395453i	−0.876626	−	0.481173i	$-0.840211\pi$
$199$	−5.57855	+	5.57855i	−0.395453	+	0.395453i	0.481173	+	0.876626i	$0.340211\pi$
$200$	−14.7660	+	2.85609i	−1.04411	+	0.201956i
$201$	4.59297	+	7.95525i	0.323963	+	0.561120i
$202$	−7.56699	+	4.36880i	−0.532411	+	0.307388i
$203$	−0.657599	−	0.379665i	−0.0461544	−	0.0266472i
$204$	2.48345	−	0.665439i	0.173876	−	0.0465901i
$205$	−6.21353	+	13.6177i	−0.433972	+	0.951102i
$206$	−9.79903	+	5.65747i	−0.682731	+	0.394175i
$207$	−8.07769	+	4.66366i	−0.561438	+	0.324147i
$208$	18.6507			1.29319
$209$	1.20637	+	4.50224i	0.0834465	+	0.311427i
$210$	−0.219127	+	0.480244i	−0.0151212	+	0.0331400i
$211$	−11.6214			−0.800053			−0.400026	−	0.916504i	$-0.630999\pi$
$211$	−11.6214			−0.800053			−0.400026	+	0.916504i	$0.630999\pi$
$212$	−0.539268	−	0.539268i	−0.0370371	−	0.0370371i
$213$	8.81096	+	2.36089i	0.603717	+	0.161765i
$214$	−0.162075	+	0.162075i	−0.0110792	+	0.0110792i
$215$	−2.05224	−	21.4168i	−0.139962	−	1.46061i
$216$	−12.0317	−	12.0317i	−0.818653	−	0.818653i
$217$	0.207926	−	0.360139i	0.0141150	−	0.0244478i
$218$	−7.43625	+	1.99254i	−0.503647	+	0.134952i
$219$	3.82402	+	2.20780i	0.258403	+	0.149189i
$220$	−0.698689	+	1.53126i	−0.0471056	+	0.103238i
$221$			32.3231i			2.17428i
$222$	10.0215	+	4.90451i	0.672599	+	0.329169i
$223$	19.4912	+	19.4912i	1.30523	+	1.30523i	0.924819	+	0.380408i	$0.124217\pi$
$223$	19.4912	+	19.4912i	1.30523	+	1.30523i	0.380408	+	0.924819i	$0.375783\pi$
$224$	0.224226	+	0.0600811i	0.0149817	+	0.00401434i
$225$	−3.75681	+	3.25967i	−0.250454	+	0.217311i
$226$	−3.17483	−	1.83299i	−0.211187	−	0.121929i
$227$	−8.94610	−	5.16503i	−0.593774	−	0.342815i	0.172815	−	0.984954i	$-0.444714\pi$
$227$	−8.94610	−	5.16503i	−0.593774	−	0.342815i	−0.766588	+	0.642139i	$0.778047\pi$
$228$	−0.910101			−0.0602729
$229$	6.96829	+	4.02315i	0.460478	+	0.265857i	0.712245	−	0.701931i	$-0.247678\pi$
$229$	6.96829	+	4.02315i	0.460478	+	0.265857i	−0.251767	+	0.967788i	$0.581012\pi$
$230$	22.1169	−	15.7604i	1.45834	−	1.03921i
$231$	0.212910	+	0.368771i	0.0140084	+	0.0242633i
$232$	−12.5486	+	12.5486i	−0.823856	+	0.823856i
$233$	19.7773	−	19.7773i	1.29566	−	1.29566i	0.364421	−	0.931234i	$-0.381267\pi$
$233$	19.7773	−	19.7773i	1.29566	−	1.29566i	0.931234	−	0.364421i	$-0.118733\pi$
$234$	6.40010	−	3.69510i	0.418388	−	0.241556i
$235$	17.4658	+	14.4112i	1.13934	+	0.940084i
$236$	−0.916931	−	0.916931i	−0.0596871	−	0.0596871i
$237$	−2.47964	−	4.29487i	−0.161070	−	0.278982i
$238$	0.243171	−	0.907525i	0.0157624	−	0.0588261i
$239$	−0.895305	+	3.34133i	−0.0579125	+	0.216132i	−0.988818	−	0.149128i	$-0.952353\pi$
$239$	−0.895305	+	3.34133i	−0.0579125	+	0.216132i	0.930905	+	0.365260i	$0.119020\pi$
$240$	7.94224	+	6.55323i	0.512669	+	0.423009i
$241$	−5.05459	−	18.8640i	−0.325595	−	1.21514i	−0.913713	−	0.406360i	$-0.866798\pi$
$241$	−5.05459	−	18.8640i	−0.325595	−	1.21514i	0.588118	−	0.808775i	$-0.299869\pi$
$242$	3.58868	+	6.21578i	0.230689	+	0.399566i
$243$	−9.51745	−	2.55019i	−0.610545	−	0.163595i
$244$	0.105081	−	0.392166i	0.00672709	−	0.0251058i
$245$	9.06207	+	12.7169i	0.578954	+	0.812456i
$246$	11.8601	−	3.17790i	0.756172	−	0.202616i
$247$	2.96133	−	11.0518i	0.188425	−	0.703211i
$248$	−6.87234	−	6.87234i	−0.436394	−	0.436394i
$249$	−7.90200			−0.500769
$250$	9.98330	−	10.4911i	0.631399	−	0.663516i
$251$	0.521919	+	0.521919i	0.0329432	+	0.0329432i	0.723387	−	0.690443i	$-0.242584\pi$
$251$	0.521919	+	0.521919i	0.0329432	+	0.0329432i	−0.690443	+	0.723387i	$0.742584\pi$
$252$	0.0398410	−	0.0106754i	0.00250975	−	0.000672485i
$253$		−	21.9074i		−	1.37731i
$254$	3.36095	+	12.5432i	0.210885	+	0.787033i
$255$	−11.3572	+	13.7645i	−0.711218	+	0.861967i
$256$	3.76027	−	6.51299i	0.235017	−	0.407062i
$257$	10.3475	−	5.97412i	0.645458	−	0.372656i	−0.141256	−	0.989973i	$-0.545114\pi$
$257$	10.3475	−	5.97412i	0.645458	−	0.372656i	0.786714	+	0.617318i	$0.211781\pi$
$258$	−12.4795	+	12.4795i	−0.776939	+	0.776939i
$259$	−0.649616	+	0.436901i	−0.0403652	+	0.0271477i
$260$	3.36474	−	2.39771i	0.208672	−	0.148699i
$261$	−1.51901	+	5.66901i	−0.0940242	+	0.350903i
$262$	22.4122	−	6.00532i	1.38463	−	0.371010i
$263$	0.268741	+	1.00296i	0.0165713	+	0.0618450i	0.973716	−	0.227764i	$-0.0731414\pi$
$263$	0.268741	+	1.00296i	0.0165713	+	0.0618450i	−0.957145	+	0.289609i	$0.906475\pi$
$264$	9.61279	−	2.57574i	0.591626	−	0.158526i
$265$	5.22031	+	0.876054i	0.320681	+	0.0538156i
$266$	−0.166289	+	0.288020i	−0.0101958	+	0.0176597i
$267$			5.42995i			0.332308i
$268$	−0.540897	+	2.01865i	−0.0330405	+	0.123309i
$269$		−	11.6789i		−	0.712074i	−0.934472	−	0.356037i	$-0.884128\pi$
$269$		−	11.6789i		−	0.712074i	0.934472	−	0.356037i	$-0.115872\pi$
$270$	16.1586	+	2.71167i	0.983379	+	0.165027i
$271$	12.1102	+	20.9754i	0.735640	+	1.27417i	0.954442	+	0.298396i	$0.0964516\pi$
$271$	12.1102	+	20.9754i	0.735640	+	1.27417i	−0.218803	+	0.975769i	$0.570215\pi$
$272$	−15.8715	−	9.16340i	−0.962350	−	0.555613i
$273$		−	1.04528i		−	0.0632629i
$274$	23.3403	+	6.25402i	1.41004	+	0.377819i
$275$	−2.21850	−	11.4696i	−0.133780	−	0.691645i
$276$	4.13180	+	1.10711i	0.248705	+	0.0666403i
$277$	1.85173	−	3.20730i	0.111260	−	0.192708i	−0.805019	−	0.593250i	$-0.797845\pi$
$277$	1.85173	−	3.20730i	0.111260	−	0.192708i	0.916279	+	0.400542i	$0.131178\pi$
$278$	7.82798	−	13.5585i	0.469491	−	0.813182i
$279$	−3.10468	−	0.831896i	−0.185872	−	0.0498043i
$280$	−0.810967	+	0.302782i	−0.0484645	+	0.0180947i
$281$	−24.5233	−	6.57100i	−1.46294	−	0.391993i	−0.562434	−	0.826842i	$-0.690135\pi$
$281$	−24.5233	−	6.57100i	−1.46294	−	0.391993i	−0.900503	+	0.434849i	$0.856802\pi$
$282$		−	18.5746i		−	1.10610i
$283$	2.18087	+	1.25913i	0.129639	+	0.0748473i	0.563417	−	0.826173i	$-0.309486\pi$
$283$	2.18087	+	1.25913i	0.129639	+	0.0748473i	−0.433778	+	0.901020i	$0.642820\pi$
$284$	1.03763	+	1.79724i	0.0615723	+	0.106646i
$285$	5.14430	−	3.66581i	0.304722	−	0.217144i
$286$			17.3576i			1.02638i
$287$	−0.222983	+	0.832183i	−0.0131623	+	0.0491222i
$288$		−	1.79422i		−	0.105725i
$289$	7.38086	−	12.7840i	0.434168	−	0.752002i
$290$	2.82817	−	16.8528i	0.166076	−	0.989629i
$291$	5.38587	−	1.44314i	0.315726	−	0.0845984i
$292$	0.260004	+	0.970350i	0.0152156	+	0.0567854i
$293$	−1.50065	+	0.402098i	−0.0876688	+	0.0234908i	−0.302387	−	0.953185i	$-0.597783\pi$
$293$	−1.50065	+	0.402098i	−0.0876688	+	0.0234908i	0.214718	+	0.976676i	$0.431117\pi$
$294$	3.31530	−	12.3729i	0.193352	−	0.721600i
$295$	8.87622	+	1.48958i	0.516794	+	0.0867266i
$296$	5.93349	+	17.3077i	0.344877	+	1.00599i
$297$	9.34575	−	9.34575i	0.542295	−	0.542295i
$298$	−24.4548	+	14.1190i	−1.41663	+	0.817891i
$299$	−26.8885	+	46.5722i	−1.55500	+	2.69334i
$300$	2.27532	+	0.161214i	0.131366	+	0.00930770i
$301$	−0.320508	−	1.19615i	−0.0184738	−	0.0689450i
$302$		−	1.07220i		−	0.0616981i
$303$	9.22665	−	2.47227i	0.530057	−	0.142028i
$304$	4.58722	+	4.58722i	0.263095	+	0.263095i
$305$	0.985650	+	2.63995i	0.0564382	+	0.151163i
$306$	−7.26186			−0.415133
$307$	11.4213	+	11.4213i	0.651849	+	0.651849i	0.953438	−	0.301589i	$-0.0975170\pi$
$307$	11.4213	+	11.4213i	0.651849	+	0.651849i	−0.301589	+	0.953438i	$0.597517\pi$
$308$	−0.0250736	+	0.0935760i	−0.00142870	+	0.00533199i
$309$	11.9482	−	3.20152i	0.679712	−	0.182128i
$310$	9.22955	+	1.54887i	0.524203	+	0.0879700i
$311$	5.37302	−	20.0524i	0.304676	−	1.13707i	−0.628548	−	0.777771i	$-0.716351\pi$
$311$	5.37302	−	20.0524i	0.304676	−	1.13707i	0.933224	−	0.359295i	$-0.116983\pi$
$312$	−23.5969	−	6.32276i	−1.33591	−	0.357956i
$313$	6.85877	+	11.8797i	0.387681	+	0.671483i	0.992137	−	0.125155i	$-0.0399429\pi$
$313$	6.85877	+	11.8797i	0.387681	+	0.671483i	−0.604456	+	0.796638i	$0.706610\pi$
$314$	−0.420210	−	1.56825i	−0.0237138	−	0.0885013i
$315$	−0.182200	+	0.220818i	−0.0102658	+	0.0124417i
$316$	0.292019	−	1.08983i	0.0164273	−	0.0613076i
$317$	−6.71956	+	25.0777i	−0.377408	+	1.40851i	0.472386	+	0.881392i	$0.343393\pi$
$317$	−6.71956	+	25.0777i	−0.377408	+	1.40851i	−0.849794	+	0.527115i	$0.823274\pi$
$318$	−2.17105	−	3.76036i	−0.121746	−	0.210871i
$319$	−9.74727	−	9.74727i	−0.545742	−	0.545742i
$320$	1.88551	+	19.6768i	0.105403	+	1.09997i
$321$	0.217005	−	0.125288i	0.0121121	−	0.00699290i
$322$	1.10531	−	1.10531i	0.0615964	−	0.0615964i
$323$	−7.94999	+	7.94999i	−0.442349	+	0.442349i
$324$	0.809622	+	1.40231i	0.0449790	+	0.0779059i
$325$	−9.36124	+	27.1058i	−0.519268	+	1.50356i
$326$	0.554660	+	0.320233i	0.0307198	+	0.0177361i
$327$	8.41624			0.465419
$328$	17.4376	+	10.0676i	0.962828	+	0.555889i
$329$	1.12871	+	0.651659i	0.0622276	+	0.0359271i
$330$	−6.09889	+	7.39160i	−0.335733	+	0.406894i
$331$	−10.6847	−	2.86296i	−0.587284	−	0.157362i	−0.0470725	−	0.998891i	$-0.514989\pi$
$331$	−10.6847	−	2.86296i	−0.587284	−	0.157362i	−0.540212	+	0.841529i	$0.681656\pi$
$332$	−1.27121	−	1.27121i	−0.0697667	−	0.0697667i
$333$	4.56135	+	3.97591i	0.249960	+	0.217878i
$334$			22.1482i			1.21190i
$335$	−5.07359	−	13.5890i	−0.277200	−	0.742447i
$336$	0.513258	+	0.296330i	0.0280005	+	0.0161661i
$337$	15.0644	−	4.03650i	0.820611	−	0.219882i	0.175997	−	0.984391i	$-0.443685\pi$
$337$	15.0644	−	4.03650i	0.820611	−	0.219882i	0.644614	+	0.764509i	$0.277018\pi$
$338$	12.8847	−	22.3169i	0.700834	−	1.21388i
$339$	2.83389	+	2.83389i	0.153916	+	0.153916i
$340$	−4.04138	+	0.387261i	−0.219175	+	0.0210022i
$341$	5.33817	−	5.33817i	0.289078	−	0.289078i
$342$	2.48296	+	0.665307i	0.134263	+	0.0359757i
$343$	1.27259	+	1.27259i	0.0687131	+	0.0687131i
$344$	−28.9416			−1.56042
$345$	−27.8141	+	10.3847i	−1.49746	+	0.559091i
$346$	−6.31253	−	23.5587i	−0.339364	−	1.26652i
$347$	−2.11671			−0.113631			−0.0568155	−	0.998385i	$-0.518095\pi$
$347$	−2.11671			−0.113631			−0.0568155	+	0.998385i	$0.518095\pi$
$348$	2.33095	−	1.34578i	0.124952	−	0.0721411i
$349$	7.13388	−	4.11875i	0.381868	−	0.220472i	−0.296763	−	0.954951i	$-0.595907\pi$
$349$	7.13388	−	4.11875i	0.381868	−	0.220472i	0.678631	+	0.734480i	$0.262574\pi$
$350$	0.466753	−	0.690616i	0.0249490	−	0.0369150i
$351$	−31.3385	+	8.39712i	−1.67272	+	0.448205i
$352$	3.64955	+	2.10707i	0.194522	+	0.112307i
$353$	−15.6410	+	9.03032i	−0.832485	+	0.480636i	−0.854703	−	0.519118i	$-0.826261\pi$
$353$	−15.6410	+	9.03032i	−0.832485	+	0.480636i	0.0222176	+	0.999753i	$0.492927\pi$
$354$	−3.69149	−	6.39384i	−0.196200	−	0.339829i
$355$	−13.1043	−	5.97927i	−0.695504	−	0.317347i
$356$	−0.873527	+	0.873527i	−0.0462968	+	0.0462968i
$357$	−0.513562	+	0.889515i	−0.0271806	+	0.0470781i
$358$	−0.345865	−	0.0926742i	−0.0182795	−	0.00489799i
$359$		−	16.1578i		−	0.852775i	−0.904541	−	0.426387i	$-0.859786\pi$
$359$		−	16.1578i		−	0.852775i	0.904541	−	0.426387i	$-0.140214\pi$
$360$	3.88282	+	5.44882i	0.204642	+	0.287178i
$361$	−13.0079	+	7.51011i	−0.684626	+	0.395269i
$362$	8.10647			0.426067
$363$	−2.03081	−	7.57909i	−0.106590	−	0.397799i
$364$	0.168155	−	0.168155i	0.00881374	−	0.00881374i
$365$	−5.37815	−	4.43757i	−0.281505	−	0.232273i
$366$	1.15578	−	2.00187i	0.0604137	−	0.104640i
$367$	−2.05294	−	7.66168i	−0.107163	−	0.399936i	0.891419	−	0.453180i	$-0.149711\pi$
$367$	−2.05294	−	7.66168i	−0.107163	−	0.399936i	−0.998582	+	0.0532439i	$0.983044\pi$
$368$	−15.2454	−	26.4059i	−0.794724	−	1.37650i
$369$	6.65899			0.346653
$370$	−14.3247	−	10.2568i	−0.744707	−	0.533226i
$371$	0.304670			0.0158177
$372$	0.737024	+	1.27656i	0.0382129	+	0.0661867i
$373$	−4.15381	−	15.5022i	−0.215076	−	0.802674i	−0.986140	−	0.165916i	$-0.946942\pi$
$373$	−4.15381	−	15.5022i	−0.215076	−	0.802674i	0.771064	−	0.636758i	$-0.219725\pi$
$374$	8.52810	−	14.7711i	0.440977	−	0.763795i
$375$	−13.5105	+	8.25355i	−0.697678	+	0.426212i
$376$	21.5385	−	21.5385i	1.11076	−	1.11076i
$377$	8.75788	+	32.6849i	0.451054	+	1.68336i
$378$	0.943054			0.0485055
$379$	20.0536	−	11.5779i	1.03008	−	0.594718i	0.113074	−	0.993587i	$-0.463930\pi$
$379$	20.0536	−	11.5779i	1.03008	−	0.594718i	0.917008	+	0.398868i	$0.130597\pi$
$380$	1.41730	+	0.237846i	0.0727059	+	0.0122013i
$381$		−	14.1963i		−	0.727296i
$382$	−5.83079	−	1.56236i	−0.298329	−	0.0799371i
$383$	−11.6982	+	20.2619i	−0.597751	+	1.03534i	0.395401	+	0.918509i	$0.370606\pi$
$383$	−11.6982	+	20.2619i	−0.597751	+	1.03534i	−0.993152	+	0.116827i	$0.962728\pi$
$384$	7.85359	−	7.85359i	0.400777	−	0.400777i
$385$	−0.235189	−	0.629928i	−0.0119864	−	0.0321041i
$386$	12.1206	+	20.9936i	0.616924	+	1.06854i
$387$	−8.28908	+	4.78570i	−0.421357	+	0.243271i
$388$	1.09860	+	0.634275i	0.0557728	+	0.0322004i
$389$	−33.1396	+	8.87973i	−1.68024	+	0.450220i	−0.967844	−	0.251553i	$-0.919059\pi$
$389$	−33.1396	+	8.87973i	−1.68024	+	0.450220i	−0.712401	+	0.701773i	$0.752392\pi$
$390$	22.0376	−	8.22796i	1.11592	−	0.416639i
$391$	45.7634	−	26.4215i	2.31435	−	1.33619i
$392$	18.1915	−	10.5028i	0.918807	−	0.530474i
$393$	−25.3658			−1.27953
$394$	3.21468	+	11.9974i	0.161953	+	0.604418i
$395$	2.73912	+	7.33642i	0.137820	+	0.369135i
$396$	0.748780			0.0376276
$397$	−18.9636	−	18.9636i	−0.951756	−	0.951756i	0.0471326	−	0.998889i	$-0.484992\pi$
$397$	−18.9636	−	18.9636i	−0.951756	−	0.951756i	−0.998889	+	0.0471326i	$0.984992\pi$
$398$	−9.87085	−	2.64489i	−0.494781	−	0.132576i
$399$	0.257090	−	0.257090i	0.0128706	−	0.0128706i
$400$	−10.6558	−	12.2810i	−0.532791	−	0.614048i
$401$	22.4812	+	22.4812i	1.12266	+	1.12266i	0.991340	+	0.131318i	$0.0419209\pi$
$401$	22.4812	+	22.4812i	1.12266	+	1.12266i	0.131318	+	0.991340i	$0.458079\pi$
$402$	−5.94933	+	10.3045i	−0.296725	+	0.513944i
$403$	−17.9001	+	4.79632i	−0.891668	+	0.238922i
$404$	1.88203	+	1.08659i	0.0936343	+	0.0540598i
$405$	−10.2247	−	4.66537i	−0.508070	−	0.231824i
$406$		−	0.983570i		−	0.0488137i
$407$	−13.4440	+	4.60891i	−0.666392	+	0.228455i
$408$	16.9741	+	16.9741i	0.840344	+	0.840344i
$409$	−12.0283	−	3.22296i	−0.594759	−	0.159365i	−0.0511316	−	0.998692i	$-0.516283\pi$
$409$	−12.0283	−	3.22296i	−0.594759	−	0.159365i	−0.543627	+	0.839327i	$0.682949\pi$
$410$	−19.3002	+	1.84942i	−0.953170	+	0.0913363i
$411$	−22.8771	−	13.2081i	−1.12845	−	0.651508i
$412$	2.43717	+	1.40710i	0.120071	+	0.0693229i
$413$	0.518039			0.0254910
$414$	−10.4631	−	6.04090i	−0.514235	−	0.296894i
$415$	12.3058	+	2.06511i	0.604066	+	0.101372i
$416$	−5.17230	−	8.95869i	−0.253593	−	0.439236i
$417$	−12.1024	+	12.1024i	−0.592658	+	0.592658i
$418$	−4.26918	+	4.26918i	−0.208813	+	0.208813i
$419$	−1.24515	+	0.718890i	−0.0608297	+	0.0351201i	−0.530106	−	0.847931i	$-0.677848\pi$
$419$	−1.24515	+	0.718890i	−0.0608297	+	0.0351201i	0.469277	+	0.883051i	$0.344515\pi$
$420$	0.130692	−	0.0125234i	0.00637711	−	0.000611078i
$421$	10.4616	+	10.4616i	0.509869	+	0.509869i	0.914486	−	0.404617i	$-0.132595\pi$
$421$	10.4616	+	10.4616i	0.509869	+	0.509869i	−0.404617	+	0.914486i	$0.632595\pi$
$422$	−7.52670	−	13.0366i	−0.366394	−	0.634613i
$423$	2.60723	−	9.73032i	0.126768	−	0.473104i
$424$	1.84292	−	6.87786i	0.0895000	−	0.334019i
$425$	21.2838	−	18.4673i	1.03242	−	0.895797i
$426$	3.05809	+	11.4129i	0.148165	+	0.552959i
$427$	0.0810973	+	0.140465i	0.00392457	+	0.00679756i
$428$	0.0550654	+	0.0147547i	0.00266169	+	0.000713197i
$429$	4.91128	−	18.3291i	0.237119	−	0.884939i
$430$	22.6957	−	16.1729i	1.09448	−	0.779925i
$431$	26.1684	−	7.01180i	1.26049	−	0.337746i	0.434108	−	0.900861i	$-0.357064\pi$
$431$	26.1684	−	7.01180i	1.26049	−	0.337746i	0.826379	+	0.563115i	$0.190397\pi$
$432$	4.76107	−	17.7686i	0.229067	−	0.854890i
$433$	4.83311	+	4.83311i	0.232265	+	0.232265i	0.813637	−	0.581373i	$-0.197484\pi$
$433$	4.83311	+	4.83311i	0.232265	+	0.232265i	−0.581373	+	0.813637i	$0.697484\pi$
$434$	0.538660			0.0258565
$435$	−7.75490	+	16.9958i	−0.371819	+	0.814886i
$436$	1.35394	+	1.35394i	0.0648418	+	0.0648418i
$437$	−18.0680	+	4.84129i	−0.864307	+	0.231590i
$438$			5.71958i			0.273292i
$439$	−4.13514	−	15.4326i	−0.197359	−	0.736555i	−0.991643	−	0.129009i	$-0.958820\pi$
$439$	−4.13514	−	15.4326i	−0.197359	−	0.736555i	0.794284	−	0.607547i	$-0.207846\pi$
$440$	−15.6431	+	1.49898i	−0.745756	+	0.0714612i
$441$	3.47344	−	6.01618i	0.165402	−	0.286485i
$442$	−36.2592	+	20.9342i	−1.72467	+	0.995740i
$443$	−19.7718	+	19.7718i	−0.939389	+	0.939389i	−0.998265	−	0.0588766i	$-0.981248\pi$
$443$	−19.7718	+	19.7718i	−0.939389	+	0.939389i	0.0588766	+	0.998265i	$0.481248\pi$
$444$	−0.189849	−	2.76849i	−0.00900986	−	0.131386i
$445$	1.41907	−	8.45606i	0.0672702	−	0.400855i
$446$	−9.24111	+	34.4883i	−0.437579	+	1.63307i
$447$	29.8185	−	7.98983i	1.41036	−	0.377906i
$448$	0.294469	+	1.09897i	0.0139123	+	0.0519216i
$449$	6.40280	−	1.71562i	0.302167	−	0.0809653i	−0.104550	−	0.994520i	$-0.533340\pi$
$449$	6.40280	−	1.71562i	0.302167	−	0.0809653i	0.406717	+	0.913554i	$0.366674\pi$
$450$	−6.08973	−	2.10314i	−0.287072	−	0.0991431i
$451$	−7.82010	+	13.5448i	−0.368234	+	0.637801i
$452$			0.911786i			0.0428868i
$453$	−0.303374	+	1.13221i	−0.0142538	+	0.0531958i
$454$		−	13.3807i		−	0.627986i
$455$	−0.273173	+	1.62781i	−0.0128065	+	0.0763127i
$456$	−4.24864	−	7.35886i	−0.198961	−	0.344610i
$457$	−0.284979	−	0.164533i	−0.0133307	−	0.00769651i	0.493320	−	0.869848i	$-0.335783\pi$
$457$	−0.284979	−	0.164533i	−0.0133307	−	0.00769651i	−0.506651	+	0.862152i	$0.669117\pi$
$458$			10.4225i			0.487010i
$459$	30.7943	+	8.25130i	1.43735	+	0.385138i
$460$	−6.14511	−	2.80391i	−0.286517	−	0.130733i
$461$	25.7263	+	6.89335i	1.19819	+	0.321055i	0.802120	−	0.597163i	$-0.203705\pi$
$461$	25.7263	+	6.89335i	1.19819	+	0.321055i	0.396075	+	0.918218i	$0.370372\pi$
$462$	−0.275785	+	0.477673i	−0.0128307	+	0.0222234i
$463$	−13.7102	+	23.7468i	−0.637169	+	1.10361i	0.348882	+	0.937167i	$0.386561\pi$
$463$	−13.7102	+	23.7468i	−0.637169	+	1.10361i	−0.986051	+	0.166442i	$0.946772\pi$
$464$	−18.5319	−	4.96562i	−0.860324	−	0.230523i
$465$	−9.30788	−	4.24703i	−0.431643	−	0.196951i
$466$	34.9946	+	9.37677i	1.62109	+	0.434371i
$467$			34.8407i			1.61224i	0.591754	+	0.806118i	$0.298436\pi$
$467$			34.8407i			1.61224i	−0.591754	+	0.806118i	$0.701564\pi$
$468$	−1.59180	−	0.919029i	−0.0735812	−	0.0424821i
$469$	−0.417444	−	0.723035i	−0.0192758	−	0.0333867i
$470$	−4.85429	+	28.9262i	−0.223912	+	1.33426i
$471$			1.77492i			0.0817839i
$472$	3.13356	−	11.6946i	0.144234	−	0.538288i
$473$		−	22.4807i		−	1.03366i
$474$	3.21191	−	5.56320i	0.147528	−	0.255526i
$475$	−8.96923	+	4.36435i	−0.411536	+	0.200250i
$476$	−0.225715	+	0.0604803i	−0.0103457	+	0.00277211i
$477$	−0.609480	−	2.27461i	−0.0279062	−	0.104147i
$478$	−4.32806	+	1.15970i	−0.197961	+	0.0530435i
$479$	7.33422	−	27.3717i	0.335109	−	1.25064i	−0.568642	−	0.822585i	$-0.692531\pi$
$479$	7.33422	−	27.3717i	0.335109	−	1.25064i	0.903751	−	0.428059i	$-0.140802\pi$
$480$	0.945203	−	5.63236i	0.0431424	−	0.257081i
$481$	34.2368	+	6.70278i	1.56107	+	0.305620i
$482$	17.8875	−	17.8875i	0.814752	−	0.814752i
$483$	−1.47991	+	0.854429i	−0.0673384	+	0.0388779i
$484$	0.892561	−	1.54596i	0.0405710	−	0.0702710i
$485$	−8.76456	+	0.839854i	−0.397978	+	0.0381358i
$486$	−3.30330	−	12.3281i	−0.149841	−	0.559213i
$487$			9.06800i			0.410910i	0.978667	+	0.205455i	$0.0658675\pi$
$487$			9.06800i			0.410910i	−0.978667	+	0.205455i	$0.934133\pi$
$488$	3.66151	−	0.981098i	0.165749	−	0.0444122i
$489$	−0.495096	−	0.495096i	−0.0223890	−	0.0223890i
$490$	−8.39643	+	18.4018i	−0.379312	+	0.831309i
$491$	−28.3508			−1.27945			−0.639727	−	0.768602i	$-0.720953\pi$
$491$	−28.3508			−1.27945			−0.639727	+	0.768602i	$0.720953\pi$
$492$	−2.15940	−	2.15940i	−0.0973531	−	0.0973531i
$493$	8.60579	−	32.1172i	0.387585	−	1.44649i
$494$	14.3156	−	3.83584i	0.644088	−	0.172583i
$495$	−4.23243	+	3.01602i	−0.190234	+	0.135560i
$496$	2.71946	−	10.1492i	0.122107	−	0.455711i
$497$	−0.800808	−	0.214576i	−0.0359212	−	0.00962505i
$498$	−5.11778	−	8.86426i	−0.229333	−	0.397217i
$499$	−5.49842	−	20.5204i	−0.246143	−	0.918618i	−0.972806	−	0.231623i	$-0.925596\pi$
$499$	−5.49842	−	20.5204i	−0.246143	−	0.918618i	0.726663	−	0.686994i	$-0.241070\pi$
$500$	−3.50122	−	0.845692i	−0.156579	−	0.0378205i
$501$	6.26676	−	23.3879i	0.279978	−	1.04489i
$502$	−0.247451	+	0.923499i	−0.0110443	+	0.0412178i
$503$	12.6528	+	21.9152i	0.564159	+	0.977151i	0.997127	+	0.0757425i	$0.0241327\pi$
$503$	12.6528	+	21.9152i	0.564159	+	0.977151i	−0.432969	+	0.901409i	$0.642534\pi$
$504$	0.272309	+	0.272309i	0.0121296	+	0.0121296i
$505$	−15.0147	+	1.43877i	−0.668147	+	0.0640244i
$506$	24.5751	−	14.1885i	1.09250	−	0.630754i
$507$	−19.9203	+	19.9203i	−0.884692	+	0.884692i
$508$	2.28378	−	2.28378i	0.101326	−	0.101326i
$509$	−7.55145	−	13.0795i	−0.334712	−	0.579739i	0.648717	−	0.761030i	$-0.275306\pi$
$509$	−7.55145	−	13.0795i	−0.334712	−	0.579739i	−0.983430	+	0.181291i	$0.941972\pi$
$510$	−22.7962	−	3.82559i	−1.00943	−	0.169400i
$511$	−0.347557	−	0.200662i	−0.0153750	−	0.00887676i
$512$	25.4281			1.12378
$513$	−9.77314	−	5.64253i	−0.431495	−	0.249124i
$514$	13.4032	+	7.73836i	0.591191	+	0.341324i
$515$	−19.4437	+	1.86316i	−0.856790	+	0.0821008i
$516$	4.23993	+	1.13608i	0.186652	+	0.0500133i
$517$	16.7303	+	16.7303i	0.735796	+	0.735796i
$518$	−0.910832	−	0.445760i	−0.0400197	−	0.0195856i
$519$			26.6634i			1.17039i
$520$	35.0949	+	16.0132i	1.53902	+	0.702227i
$521$	0.561137	+	0.323973i	0.0245839	+	0.0141935i	0.512242	−	0.858841i	$-0.328815\pi$
$521$	0.561137	+	0.323973i	0.0245839	+	0.0141935i	−0.487658	+	0.873035i	$0.662149\pi$
$522$	−7.34314	+	1.96759i	−0.321401	+	0.0861191i
$523$	20.7858	−	36.0021i	0.908901	−	1.57426i	0.0933066	−	0.995637i	$-0.470256\pi$
$523$	20.7858	−	36.0021i	0.908901	−	1.57426i	0.815594	−	0.578625i	$-0.196410\pi$
$524$	−4.08064	−	4.08064i	−0.178264	−	0.178264i
$525$	−0.688285	+	0.597203i	−0.0300392	+	0.0260641i
$526$	−0.951039	+	0.951039i	−0.0414673	+	0.0414673i
$527$	17.5893	+	4.71303i	0.766200	+	0.205303i
$528$	7.60777	+	7.60777i	0.331086	+	0.331086i
$529$	64.9166			2.82246
$530$	2.39823	+	6.42339i	0.104173	+	0.279014i
$531$	−1.03631	−	3.86758i	−0.0449722	−	0.167839i
$532$	0.0827171			0.00358624
$533$	33.2490	−	19.1963i	1.44017	−	0.831484i
$534$	−6.09118	+	3.51675i	−0.263591	+	0.152184i
$535$	−0.370685	+	0.138399i	−0.0160261	+	0.00598349i
$536$	−18.8474	+	5.05015i	−0.814085	+	0.218133i
$537$	0.339001	+	0.195722i	0.0146290	+	0.00844605i
$538$	13.1011	−	7.56390i	0.564827	−	0.326103i
$539$	8.15820	+	14.1304i	0.351399	+	0.608640i
$540$	−1.42536	−	3.81767i	−0.0613379	−	0.164287i
$541$	−7.92447	+	7.92447i	−0.340700	+	0.340700i	−0.856630	−	0.515931i	$-0.827446\pi$
$541$	−7.92447	+	7.92447i	−0.340700	+	0.340700i	0.515931	+	0.856630i	$0.327446\pi$
$542$	−15.6864	+	27.1697i	−0.673790	+	1.16704i
$543$	−8.56019	−	2.29370i	−0.367353	−	0.0984319i
$544$			10.1650i			0.435819i
$545$	−13.1066	−	2.19950i	−0.561425	−	0.0942164i
$546$	1.17256	−	0.676979i	0.0501810	−	0.0289720i
$547$	0.343344			0.0146803			0.00734016	−	0.999973i	$-0.497664\pi$
$547$	0.343344			0.0146803			0.00734016	+	0.999973i	$0.497664\pi$
$548$	−1.55547	−	5.80510i	−0.0664465	−	0.247982i
$549$	0.886451	−	0.886451i	0.0378328	−	0.0378328i
$550$	11.4295	−	9.91704i	0.487356	−	0.422864i
$551$	−5.88494	+	10.1930i	−0.250707	+	0.434237i
$552$	10.3367	+	38.5771i	0.439959	+	1.64195i
$553$	0.225369	+	0.390351i	0.00958367	+	0.0165994i
$554$	4.79715			0.203811
$555$	12.2243	+	14.8840i	0.518895	+	0.631791i
$556$	−3.89388			−0.165137
$557$	−12.6071	−	21.8362i	−0.534181	−	0.925229i	−0.999203	−	0.0399295i	$-0.987287\pi$
$557$	−12.6071	−	21.8362i	−0.534181	−	0.925229i	0.465021	−	0.885299i	$-0.346047\pi$
$558$	−1.07757	−	4.02153i	−0.0456170	−	0.170245i
$559$	−27.5921	+	47.7909i	−1.16702	+	2.02134i
$560$	−0.721853	−	0.595609i	−0.0305038	−	0.0251691i
$561$	−13.1848	+	13.1848i	−0.556664	+	0.556664i
$562$	−8.51150	−	31.7654i	−0.359036	−	1.33994i
$563$	6.21062			0.261746			0.130873	−	0.991399i	$-0.458222\pi$
$563$	6.21062			0.261746			0.130873	+	0.991399i	$0.458222\pi$
$564$	−4.00086	+	2.30989i	−0.168466	+	0.0972641i
$565$	−3.67260	−	5.15382i	−0.154507	−	0.216823i
$566$			3.26193i			0.137109i
$567$	−0.624836	−	0.167424i	−0.0262407	−	0.00703116i
$568$	−9.68801	+	16.7801i	−0.406500	+	0.704078i
$569$	−2.93374	+	2.93374i	−0.122989	+	0.122989i	−0.765922	−	0.642933i	$-0.777717\pi$
$569$	−2.93374	+	2.93374i	−0.122989	+	0.122989i	0.642933	+	0.765922i	$0.277717\pi$
$570$	7.44395	+	3.39655i	0.311793	+	0.142266i
$571$	−6.05364	−	10.4852i	−0.253337	−	0.438793i	0.711105	−	0.703085i	$-0.248195\pi$
$571$	−6.05364	−	10.4852i	−0.253337	−	0.438793i	−0.964443	+	0.264293i	$0.914861\pi$
$572$	3.73873	−	2.15856i	0.156324	−	0.0902537i
$573$	5.71508	+	3.29960i	0.238751	+	0.137843i
$574$	−1.07794	+	0.288833i	−0.0449922	+	0.0120556i
$575$	46.0288	−	8.90306i	1.91953	−	0.371283i
$576$	7.61565	−	4.39690i	0.317319	−	0.183204i
$577$	−23.9882	+	13.8496i	−0.998644	+	0.576567i	−0.907847	−	0.419302i	$-0.862275\pi$
$577$	−23.9882	+	13.8496i	−0.998644	+	0.576567i	−0.0907968	+	0.995869i	$0.528941\pi$
$578$	19.1211			0.795331
$579$	−6.85898	−	25.5981i	−0.285049	−	1.06382i
$580$	−3.98169	+	1.48660i	−0.165331	+	0.0617278i
$581$	0.718195			0.0297958
$582$	5.10707	+	5.10707i	0.211695	+	0.211695i
$583$	5.34246	+	1.43151i	0.221262	+	0.0592870i
$584$	−6.63223	+	6.63223i	−0.274444	+	0.274444i
$585$	12.6994	−	1.21690i	0.525054	−	0.0503126i
$586$	−1.42297	−	1.42297i	−0.0587822	−	0.0587822i
$587$	−15.1952	+	26.3189i	−0.627175	+	1.08630i	0.360941	+	0.932589i	$0.382455\pi$
$587$	−15.1952	+	26.3189i	−0.627175	+	1.08630i	−0.988116	+	0.153710i	$0.950878\pi$
$588$	−3.07732	+	0.824566i	−0.126907	+	0.0340045i
$589$	−5.58229	−	3.22294i	−0.230014	−	0.132799i
$590$	4.07778	+	10.9219i	0.167879	+	0.449646i
$591$		−	13.5784i		−	0.558542i
$592$	−12.9972	+	14.9110i	−0.534181	+	0.612838i
$593$	−28.2413	−	28.2413i	−1.15973	−	1.15973i	−0.984533	−	0.175200i	$-0.943943\pi$
$593$	−28.2413	−	28.2413i	−1.15973	−	1.15973i	−0.175200	−	0.984533i	$-0.556057\pi$
$594$	16.5367	+	4.43098i	0.678507	+	0.181805i
$595$	1.03223	−	1.25102i	0.0423175	−	0.0512870i
$596$	6.08229	+	3.51161i	0.249140	+	0.143841i
$597$	9.67496	+	5.58584i	0.395970	+	0.228613i
$598$	−69.6579			−2.84852
$599$	−2.99451	−	1.72888i	−0.122352	−	0.0706401i	0.437575	−	0.899182i	$-0.355838\pi$
$599$	−2.99451	−	1.72888i	−0.122352	−	0.0706401i	−0.559927	+	0.828542i	$0.689171\pi$
$600$	9.31837	+	19.1503i	0.380421	+	0.781807i
$601$	−11.8190	−	20.4712i	−0.482109	−	0.835037i	0.517680	−	0.855574i	$-0.326796\pi$
$601$	−11.8190	−	20.4712i	−0.482109	−	0.835037i	−0.999789	+	0.0205370i	$0.993462\pi$
$602$	1.13423	−	1.13423i	0.0462279	−	0.0462279i
$603$	−4.56296	+	4.56296i	−0.185818	+	0.185818i
$604$	−0.230945	+	0.133336i	−0.00939702	+	0.00542537i
$605$	1.18185	+	12.3336i	0.0480492	+	0.501433i
$606$	8.74903	+	8.74903i	0.355405	+	0.355405i
$607$	−2.91558	−	5.04994i	−0.118340	−	0.204971i	0.800770	−	0.598972i	$-0.204424\pi$
$607$	−2.91558	−	5.04994i	−0.118340	−	0.204971i	−0.919110	+	0.394001i	$0.871091\pi$
$608$	0.931278	−	3.47558i	0.0377683	−	0.140953i
$609$	−0.278297	+	1.03862i	−0.0112772	+	0.0420870i
$610$	−2.32307	+	2.81546i	−0.0940582	+	0.113995i
$611$	−15.0321	−	56.1004i	−0.608132	−	2.26958i
$612$	0.903069	+	1.56416i	0.0365044	+	0.0632275i
$613$	−4.36320	−	1.16911i	−0.176228	−	0.0472201i	0.169626	−	0.985509i	$-0.445744\pi$
$613$	−4.36320	−	1.16911i	−0.176228	−	0.0472201i	−0.345854	+	0.938288i	$0.612411\pi$
$614$	−5.41505	+	20.2092i	−0.218533	+	0.815578i
$615$	20.9037	+	3.50799i	0.842920	+	0.141456i
$616$	−0.873685	+	0.234103i	−0.0352018	+	0.00943228i
$617$	7.31428	−	27.2973i	0.294462	−	1.09895i	−0.647182	−	0.762336i	$-0.724052\pi$
$617$	7.31428	−	27.2973i	0.294462	−	1.09895i	0.941644	−	0.336611i	$-0.109281\pi$
$618$	11.3297	+	11.3297i	0.455749	+	0.455749i
$619$	2.82730			0.113639			0.0568195	−	0.998384i	$-0.481904\pi$
$619$	2.82730			0.113639			0.0568195	+	0.998384i	$0.481904\pi$
$620$	−0.814149	−	2.18060i	−0.0326970	−	0.0875752i
$621$	37.5054	+	37.5054i	1.50504	+	1.50504i
$622$	25.9741	−	6.95974i	1.04147	−	0.279060i
$623$		−	0.493516i		−	0.0197723i
$624$	−6.83555	−	25.5106i	−0.273641	−	1.02124i
$625$	23.1968	−	9.32241i	0.927873	−	0.372896i
$626$	−8.88426	+	15.3880i	−0.355086	+	0.615028i
$627$	5.71608	−	3.30018i	0.228278	−	0.131796i
$628$	−0.285534	+	0.285534i	−0.0113941	+	0.0113941i
$629$	−25.8419	−	22.5251i	−1.03038	−	0.898135i
$630$	−0.365711	−	0.0613723i	−0.0145703	−	0.00244513i
$631$	−1.95373	+	7.29142i	−0.0777767	+	0.290267i	−0.993849	−	0.110747i	$-0.964676\pi$
$631$	−1.95373	+	7.29142i	−0.0777767	+	0.290267i	0.916072	+	0.401014i	$0.131342\pi$
$632$	10.1753	−	2.72647i	0.404753	−	0.108453i
$633$	4.25930	+	15.8959i	0.169292	+	0.631807i
$634$	−32.4835	+	8.70394i	−1.29009	+	0.345677i
$635$	−3.71005	+	22.1078i	−0.147229	+	0.877321i
$636$	−0.539973	+	0.935261i	−0.0214113	+	0.0370855i
$637$		−	40.0525i		−	1.58694i
$638$	4.62135	−	17.2471i	0.182961	−	0.682820i
$639$			6.40793i			0.253494i
$640$	−14.2828	+	10.1779i	−0.564579	+	0.402318i
$641$	2.03182	+	3.51921i	0.0802519	+	0.139000i	0.903358	−	0.428887i	$-0.141094\pi$
$641$	2.03182	+	3.51921i	0.0802519	+	0.139000i	−0.823106	+	0.567888i	$0.807761\pi$
$642$	0.281090	+	0.162287i	0.0110937	+	0.00640497i
$643$		−	0.831741i		−	0.0328007i	−0.999866	−	0.0164003i	$-0.994779\pi$
$643$		−	0.831741i		−	0.0328007i	0.999866	−	0.0164003i	$-0.00522062\pi$
$644$	−0.375530	−	0.100623i	−0.0147980	−	0.00396510i
$645$	−28.5420	+	10.6564i	−1.12384	+	0.419596i
$646$	−14.0670	−	3.76923i	−0.553457	−	0.148298i
$647$	8.99368	−	15.5775i	0.353578	−	0.612415i	−0.633295	−	0.773910i	$-0.718298\pi$
$647$	8.99368	−	15.5775i	0.353578	−	0.612415i	0.986874	+	0.161495i	$0.0516315\pi$
$648$	−7.55914	+	13.0928i	−0.296951	+	0.514334i
$649$	9.08392	+	2.43403i	0.356575	+	0.0955440i
$650$	−36.4695	+	7.05405i	−1.43045	+	0.276683i
$651$	−0.568808	−	0.152412i	−0.0222934	−	0.00597349i
$652$		−	0.159294i		−	0.00623844i
$653$	29.1596	+	16.8353i	1.14110	+	0.658816i	0.946703	−	0.322107i	$-0.104391\pi$
$653$	29.1596	+	16.8353i	1.14110	+	0.658816i	0.194399	+	0.980923i	$0.437724\pi$
$654$	5.45083	+	9.44112i	0.213144	+	0.369177i
$655$	39.5021	+	6.62910i	1.54347	+	0.259020i
$656$			21.7682i			0.849904i
$657$	−0.802831	+	2.99621i	−0.0313214	+	0.116893i
$658$			1.68820i			0.0658130i
$659$	−17.0098	+	29.4618i	−0.662606	+	1.14767i	0.317322	+	0.948318i	$0.397216\pi$
$659$	−17.0098	+	29.4618i	−0.662606	+	1.14767i	−0.979928	+	0.199350i	$0.936117\pi$
$660$	2.35055	+	0.394461i	0.0914950	+	0.0153544i
$661$	−27.2321	+	7.29681i	−1.05920	+	0.283813i	−0.746051	−	0.665889i	$-0.768052\pi$
$661$	−27.2321	+	7.29681i	−1.05920	+	0.283813i	−0.313154	+	0.949702i	$0.601386\pi$
$662$	−3.70843	−	13.8400i	−0.144132	−	0.537908i
$663$	44.2118	−	11.8465i	1.71705	−	0.460081i
$664$	4.34429	−	16.2131i	0.168591	−	0.629190i
$665$	−0.467554	+	0.333178i	−0.0181310	+	0.0129201i
$666$	−1.50588	+	7.69182i	−0.0583516	+	0.298052i
$667$	39.1168	−	39.1168i	1.51461	−	1.51461i
$668$	4.77059	−	2.75430i	0.184580	−	0.106567i
$669$	19.5167	−	33.8039i	0.754558	−	1.30693i
$670$	11.9579	−	14.4924i	0.461973	−	0.559892i
$671$	0.762079	+	2.84412i	0.0294197	+	0.109796i
$672$		−	0.328718i		−	0.0126806i
$673$	−32.9653	+	8.83302i	−1.27072	+	0.340488i	−0.830306	−	0.557308i	$-0.811834\pi$
$673$	−32.9653	+	8.83302i	−1.27072	+	0.340488i	−0.440412	+	0.897796i	$0.645168\pi$
$674$	14.2846	+	14.2846i	0.550222	+	0.550222i
$675$	23.4341	+	15.8379i	0.901978	+	0.609602i
$676$	−6.40924			−0.246509
$677$	−25.5280	−	25.5280i	−0.981123	−	0.981123i	0.0187025	−	0.999825i	$-0.494046\pi$
$677$	−25.5280	−	25.5280i	−0.981123	−	0.981123i	−0.999825	+	0.0187025i	$0.994046\pi$
$678$	−1.34360	+	5.01437i	−0.0516005	+	0.192576i
$679$	−0.489510	+	0.131164i	−0.0187857	+	0.00503361i
$680$	−21.9977	−	30.8698i	−0.843575	−	1.18380i
$681$	−3.78601	+	14.1296i	−0.145080	+	0.541447i
$682$	9.44551	+	2.53092i	0.361687	+	0.0969139i
$683$	−15.5221	−	26.8851i	−0.593938	−	1.02873i	−0.993696	−	0.112109i	$-0.964239\pi$
$683$	−15.5221	−	26.8851i	−0.593938	−	1.02873i	0.399758	−	0.916621i	$-0.369094\pi$
$684$	−0.165472	−	0.617550i	−0.00632698	−	0.0236126i
$685$	32.1747	+	26.5477i	1.22933	+	1.01433i
$686$	−0.603355	+	2.25175i	−0.0230362	+	0.0859722i
$687$	2.94900	−	11.0058i	0.112511	−	0.419898i
$688$	−15.6444	−	27.0969i	−0.596437	−	1.03306i
$689$	−9.60036	−	9.60036i	−0.365744	−	0.365744i
$690$	−29.6632	−	24.4755i	−1.12926	−	0.931765i
$691$	−25.5510	+	14.7519i	−0.972007	+	0.561189i	−0.899848	−	0.436205i	$-0.856322\pi$
$691$	−25.5510	+	14.7519i	−0.972007	+	0.561189i	−0.0721595	+	0.997393i	$0.522989\pi$
$692$	−4.28939	+	4.28939i	−0.163058	+	0.163058i
$693$	−0.211519	+	0.211519i	−0.00803494	+	0.00803494i
$694$	−1.37090	−	2.37447i	−0.0520387	−	0.0901337i
$695$	22.0099	−	15.6842i	0.834884	−	0.594937i
$696$	21.7632	+	12.5650i	0.824933	+	0.476275i
$697$	−37.7259			−1.42897
$698$	9.24061	+	5.33507i	0.349762	+	0.201935i
$699$	−34.3001	−	19.8032i	−1.29735	−	0.749025i
$700$	−0.206799	−	0.0146524i	−0.00781626	−	0.000553809i
$701$	25.5146	+	6.83662i	0.963673	+	0.258216i	0.706155	−	0.708058i	$-0.250428\pi$
$701$	25.5146	+	6.83662i	0.963673	+	0.258216i	0.257519	+	0.966273i	$0.417095\pi$
$702$	−29.7162	−	29.7162i	−1.12157	−	1.12157i
$703$	6.77212	+	10.0693i	0.255415	+	0.379770i
$704$			20.6543i			0.778438i
$705$	13.3105	−	29.1717i	0.501304	−	1.09867i
$706$	−20.2600	−	11.6971i	−0.762494	−	0.440226i
$707$	−0.838589	+	0.224699i	−0.0315384	+	0.00845069i
$708$	−0.918130	+	1.59025i	−0.0345054	+	0.0597652i
$709$	−14.5369	−	14.5369i	−0.545946	−	0.545946i	0.379320	−	0.925266i	$-0.376158\pi$
$709$	−14.5369	−	14.5369i	−0.545946	−	0.545946i	−0.925266	+	0.379320i	$0.876158\pi$
$710$	−1.77969	−	18.5726i	−0.0667907	−	0.697016i
$711$	2.46344	−	2.46344i	0.0923864	−	0.0923864i
$712$	−11.1410	−	2.98523i	−0.417528	−	0.111876i
$713$	21.4226	+	21.4226i	0.802283	+	0.802283i
$714$	−1.33045			−0.0497907
$715$	−12.4385	+	27.2604i	−0.465172	+	1.01948i
$716$	0.0230495	+	0.0860220i	0.000861401	+	0.00321479i
$717$	4.89844			0.182935
$718$	18.1254	−	10.4647i	0.676433	−	0.390539i
$719$	−6.85837	+	3.95968i	−0.255774	+	0.147671i	−0.622405	−	0.782695i	$-0.713844\pi$
$719$	−6.85837	+	3.95968i	−0.255774	+	0.147671i	0.366631	+	0.930366i	$0.380511\pi$
$720$	−3.00266	+	6.58070i	−0.111903	+	0.245248i
$721$	−1.08595	+	0.290979i	−0.0404428	+	0.0108366i
$722$	−16.8493	−	9.72794i	−0.627066	−	0.362036i
$723$	−23.9498	+	13.8274i	−0.890704	+	0.514248i
$724$	−1.00810	−	1.74608i	−0.0374658	−	0.0648927i
$725$	16.5184	−	24.4409i	0.613477	−	0.907710i
$726$	7.18675	−	7.18675i	0.266725	−	0.266725i
$727$	−23.0943	+	40.0005i	−0.856520	+	1.48354i	0.0187071	+	0.999825i	$0.494045\pi$
$727$	−23.0943	+	40.0005i	−0.856520	+	1.48354i	−0.875227	+	0.483712i	$0.839288\pi$
$728$	2.14467	+	0.574662i	0.0794866	+	0.0212984i
$729$			29.0312i			1.07523i
$730$	1.49476	−	8.90709i	0.0553234	−	0.329666i
$731$	46.9610	−	27.1129i	1.73691	−	1.00281i
$732$	−0.574921			−0.0212497
$733$	2.99280	+	11.1693i	0.110542	+	0.412547i	0.998915	−	0.0465753i	$-0.0148307\pi$
$733$	2.99280	+	11.1693i	0.110542	+	0.412547i	−0.888373	+	0.459122i	$0.848164\pi$
$734$	7.26507	−	7.26507i	0.268159	−	0.268159i
$735$	14.0731	−	17.0560i	0.519094	−	0.629121i
$736$	−8.45588	+	14.6460i	−0.311688	+	0.539860i
$737$	−3.92276	−	14.6400i	−0.144497	−	0.539270i
$738$	4.31274	+	7.46988i	0.158754	+	0.274970i
$739$	30.6774			1.12849			0.564244	−	0.825608i	$-0.309168\pi$
$739$	30.6774			1.12849			0.564244	+	0.825608i	$0.309168\pi$
$740$	−0.427865	+	4.36097i	−0.0157286	+	0.160312i
$741$	−16.2021			−0.595201
$742$	0.197322	+	0.341771i	0.00724390	+	0.0125468i
$743$	−10.9522	−	40.8742i	−0.401797	−	1.49953i	−0.809887	−	0.586586i	$-0.800472\pi$
$743$	−10.9522	−	40.8742i	−0.401797	−	1.49953i	0.408090	−	0.912942i	$-0.366195\pi$
$744$	−6.88132	+	11.9188i	−0.252282	+	0.436964i
$745$	−48.5243	+	4.64978i	−1.77779	+	0.170355i
$746$	14.6997	−	14.6997i	0.538196	−	0.538196i
$747$	−1.43672	−	5.36191i	−0.0525668	−	0.196182i
$748$	−4.24214			−0.155108
$749$	−0.0197231	+	0.0113872i	−0.000720668	+	0.000416078i
$750$	−18.0088	−	9.81024i	−0.657587	−	0.358219i
$751$			28.9353i			1.05586i	0.849287	+	0.527932i	$0.177032\pi$
$751$			28.9353i			1.05586i	−0.849287	+	0.527932i	$0.822968\pi$
$752$	31.8083	+	8.52301i	1.15993	+	0.310802i
$753$	0.522601	−	0.905172i	0.0190446	−	0.0329863i
$754$	−30.9929	+	30.9929i	−1.12870	+	1.12870i
$755$	0.768336	−	1.68390i	0.0279626	−	0.0612835i
$756$	−0.117276	−	0.203128i	−0.00426529	−	0.00738770i
$757$	2.69309	−	1.55486i	0.0978820	−	0.0565122i	−0.450260	−	0.892898i	$-0.648669\pi$
$757$	2.69309	−	1.55486i	0.0978820	−	0.0565122i	0.548142	+	0.836385i	$0.315335\pi$
$758$	25.9756	+	14.9970i	0.943477	+	0.544717i
$759$	−29.9652	+	8.02915i	−1.08767	+	0.291440i
$760$	4.69323	+	12.5703i	0.170241	+	0.455972i
$761$	7.38889	−	4.26598i	0.267847	−	0.154642i	−0.360062	−	0.932928i	$-0.617244\pi$
$761$	7.38889	−	4.26598i	0.267847	−	0.154642i	0.627909	+	0.778287i	$0.283911\pi$
$762$	15.9250	−	9.19429i	0.576901	−	0.333074i
$763$	−0.764933			−0.0276924
$764$	0.388582	+	1.45021i	0.0140584	+	0.0524667i
$765$	−11.4049	−	5.20384i	−0.412343	−	0.188145i
$766$	−30.3057			−1.09499
$767$	−16.3237	−	16.3237i	−0.589416	−	0.589416i
$768$	−10.2867	−	2.75631i	−0.371189	−	0.0994598i
$769$	28.2158	−	28.2158i	1.01749	−	1.01749i	0.0176427	−	0.999844i	$-0.494384\pi$
$769$	28.2158	−	28.2158i	1.01749	−	1.01749i	0.999844	−	0.0176427i	$-0.00561615\pi$
$770$	0.554315	−	0.671806i	0.0199761	−	0.0242102i
$771$	−11.9639	−	11.9639i	−0.430868	−	0.430868i
$772$	3.01459	−	5.22142i	0.108498	−	0.187923i
$773$	−0.102125	+	0.0273642i	−0.00367317	+	0.000984222i	−0.260655	−	0.965432i	$-0.583939\pi$
$773$	−0.102125	+	0.0273642i	−0.00367317	+	0.000984222i	0.256982	+	0.966416i	$0.417272\pi$
$774$	−10.7369	−	6.19898i	−0.385932	−	0.222818i
$775$	13.3852	+	9.04642i	0.480811	+	0.324957i
$776$			11.8440i			0.425174i
$777$	0.835685	+	0.728426i	0.0299800	+	0.0261321i
$778$	−31.4241	−	31.4241i	−1.12661	−	1.12661i
$779$	12.8991	+	3.45631i	0.462160	+	0.123835i
$780$	−4.51280	−	3.72356i	−0.161584	−	0.133325i
$781$	−13.0342	−	7.52527i	−0.466399	−	0.269275i
$782$	59.2779	+	34.2241i	2.11977	+	1.22385i
$783$	33.3746			1.19271
$784$	19.6668	+	11.3547i	0.702387	+	0.405523i
$785$	0.463858	−	2.76408i	0.0165558	−	0.0986541i
$786$	−16.4283	−	28.4547i	−0.585978	−	1.01494i
$787$	−9.62366	+	9.62366i	−0.343046	+	0.343046i	−0.857511	−	0.514465i	$-0.827991\pi$
$787$	−9.62366	+	9.62366i	−0.343046	+	0.343046i	0.514465	+	0.857511i	$0.327991\pi$
$788$	2.18439	−	2.18439i	0.0778156	−	0.0778156i
$789$	1.27336	−	0.735175i	0.0453329	−	0.0261729i
$790$	−6.45579	+	7.82415i	−0.229687	+	0.278371i
$791$	−0.257566	−	0.257566i	−0.00915799	−	0.00915799i
$792$	3.49554	+	6.05445i	0.124209	+	0.215136i
$793$	1.87070	−	6.98156i	0.0664306	−	0.247923i
$794$	8.99098	−	33.5548i	0.319078	−	1.19081i
$795$	−0.714987	−	7.46148i	−0.0253580	−	0.264631i
$796$	0.657824	+	2.45503i	0.0233160	+	0.0870164i
$797$	−4.98488	−	8.63407i	−0.176574	−	0.305834i	0.764131	−	0.645061i	$-0.223168\pi$
$797$	−4.98488	−	8.63407i	−0.176574	−	0.305834i	−0.940705	+	0.339227i	$0.889835\pi$
$798$	0.454903	+	0.121891i	0.0161034	+	0.00431489i
$799$	−14.7710	+	55.1262i	−0.522561	+	1.95022i
$800$	−2.94392	+	8.52424i	−0.104083	+	0.301377i
$801$	−3.68450	+	0.987259i	−0.130185	+	0.0348831i
$802$	−10.6587	+	39.7789i	−0.376373	+	1.40464i
$803$	−5.15166	−	5.15166i	−0.181798	−	0.181798i
$804$	2.95938			0.104369
$805$	2.52796	−	0.943839i	0.0890990	−	0.0332659i
$806$	−16.9735	−	16.9735i	−0.597867	−	0.597867i
$807$	−15.9745	+	4.28035i	−0.562329	+	0.150676i
$808$			20.2902i			0.713805i
$809$	−4.88219	−	18.2206i	−0.171649	−	0.640601i	−0.997098	−	0.0761254i	$-0.975745\pi$
$809$	−4.88219	−	18.2206i	−0.171649	−	0.640601i	0.825450	−	0.564476i	$-0.190922\pi$
$810$	−1.38862	−	14.4914i	−0.0487911	−	0.509175i
$811$	−2.72608	+	4.72171i	−0.0957256	+	0.165802i	−0.909911	−	0.414803i	$-0.863850\pi$
$811$	−2.72608	+	4.72171i	−0.0957256	+	0.165802i	0.814186	+	0.580605i	$0.197184\pi$
$812$	−0.211855	+	0.122315i	−0.00743465	+	0.00429240i
$813$	24.2520	−	24.2520i	0.850554	−	0.850554i
$814$	−13.8772	−	12.0961i	−0.486396	−	0.423968i
$815$	0.641623	+	0.900400i	0.0224751	+	0.0315396i
$816$	−6.71685	+	25.0676i	−0.235137	+	0.877542i
$817$	−18.5408	+	4.96799i	−0.648660	+	0.173808i
$818$	−4.17474	−	15.5804i	−0.145966	−	0.544754i
$819$	0.709273	−	0.190049i	0.0247840	−	0.00664085i
$820$	2.79849	+	3.92716i	0.0977273	+	0.137142i
$821$	−12.7492	+	22.0823i	−0.444951	+	0.770678i	−0.998049	−	0.0624382i	$-0.980112\pi$
$821$	−12.7492	+	22.0823i	−0.444951	+	0.770678i	0.553098	+	0.833117i	$0.313446\pi$
$822$		−	34.2173i		−	1.19346i
$823$	−3.96797	+	14.8087i	−0.138315	+	0.516197i	0.861648	+	0.507507i	$0.169433\pi$
$823$	−3.96797	+	14.8087i	−0.138315	+	0.516197i	−0.999962	+	0.00869031i	$0.997234\pi$
$824$			26.2752i			0.915338i
$825$	−14.8752	+	7.23815i	−0.517888	+	0.252000i
$826$	0.335511	+	0.581122i	0.0116739	+	0.0202198i
$827$	−22.9903	−	13.2735i	−0.799452	−	0.461564i	0.0438273	−	0.999039i	$-0.486045\pi$
$827$	−22.9903	−	13.2735i	−0.799452	−	0.461564i	−0.843280	+	0.537475i	$0.819378\pi$
$828$			3.00493i			0.104428i
$829$	22.2969	+	5.97444i	0.774404	+	0.207501i	0.624316	−	0.781172i	$-0.285378\pi$
$829$	22.2969	+	5.97444i	0.774404	+	0.207501i	0.150088	+	0.988673i	$0.452044\pi$
$830$	5.65332	+	15.1418i	0.196230	+	0.525579i
$831$	−5.06565	−	1.35734i	−0.175725	−	0.0470855i
$832$	25.3504	−	43.9083i	0.878868	−	1.52224i
$833$	−19.6785	+	34.0841i	−0.681818	+	1.18094i
$834$	−21.4144	−	5.73797i	−0.741520	−	0.198690i
$835$	−15.8714	+	34.7841i	−0.549252	+	1.20375i
$836$	1.45046	+	0.388650i	0.0501653	+	0.0134417i
$837$			18.2779i			0.631776i
$838$	−1.61286	−	0.931187i	−0.0557154	−	0.0321673i
$839$	9.23203	+	15.9903i	0.318725	+	0.552048i	0.980222	−	0.197900i	$-0.0634120\pi$
$839$	9.23203	+	15.9903i	0.318725	+	0.552048i	−0.661497	+	0.749948i	$0.730079\pi$
$840$	0.711371	+	0.998279i	0.0245446	+	0.0344439i
$841$		−	5.80847i		−	0.200292i
$842$	−4.96005	+	18.5111i	−0.170934	+	0.637936i
$843$			35.9516i			1.23824i
$844$	−1.87201	+	3.24241i	−0.0644372	+	0.111608i
$845$	36.2278	−	25.8159i	1.24628	−	0.888093i
$846$	12.6038	−	3.37718i	0.433328	−	0.116110i
$847$	0.184576	+	0.688846i	0.00634210	+	0.0236690i
$848$	7.43568	−	1.99238i	0.255342	−	0.0684187i
$849$	0.922950	−	3.44450i	0.0316756	−	0.118215i
$850$	34.5008	+	11.9152i	1.18337	+	0.408687i
$851$	−18.4960	−	53.9519i	−0.634035	−	1.84945i
$852$	2.07798	−	2.07798i	0.0711905	−	0.0711905i
$853$	−8.38490	+	4.84103i	−0.287094	+	0.165754i	−0.636630	−	0.771169i	$-0.719672\pi$
$853$	−8.38490	+	4.84103i	−0.287094	+	0.165754i	0.349537	+	0.936923i	$0.386339\pi$
$854$	−0.105046	+	0.181946i	−0.00359461	+	0.00622605i
$855$	3.42276	+	2.82416i	0.117056	+	0.0965842i
$856$	0.137759	+	0.514125i	0.00470852	+	0.0175724i
$857$			6.51247i			0.222462i	0.993795	+	0.111231i	$0.0354793\pi$
$857$			6.51247i			0.222462i	−0.993795	+	0.111231i	$0.964521\pi$
$858$	23.7420	−	6.36164i	0.810537	−	0.217183i
$859$	6.00846	+	6.00846i	0.205006	+	0.205006i	0.802141	−	0.597135i	$-0.203694\pi$
$859$	6.00846	+	6.00846i	0.205006	+	0.205006i	−0.597135	+	0.802141i	$0.703694\pi$
$860$	−6.30592	−	2.87729i	−0.215030	−	0.0981146i
$861$	1.21999			0.0415773
$862$	24.8138	+	24.8138i	0.845160	+	0.845160i
$863$	−14.4997	+	54.1135i	−0.493575	+	1.84205i	0.0442964	+	0.999018i	$0.485895\pi$
$863$	−14.4997	+	54.1135i	−0.493575	+	1.84205i	−0.537871	+	0.843027i	$0.680771\pi$
$864$	−9.85533	+	2.64073i	−0.335285	+	0.0898394i
$865$	6.96821	−	41.5228i	0.236926	−	1.41182i
$866$	−2.29146	+	8.55186i	−0.0778671	+	0.290604i
$867$	−20.1913	−	5.41023i	−0.685731	−	0.183741i
$868$	−0.0669865	−	0.116024i	−0.00227367	−	0.00393811i
$869$	2.11782	+	7.90380i	0.0718420	+	0.268118i
$870$	−24.0880	+	2.30820i	−0.816658	+	0.0782553i
$871$	−9.62936	+	35.9372i	−0.326278	+	1.21769i
$872$	−4.62700	+	17.2682i	−0.156690	+	0.584775i
$873$	1.95849	+	3.39220i	0.0662848	+	0.114809i
$874$	−17.1327	−	17.1327i	−0.579521	−	0.579521i
$875$	1.22794	−	0.750147i	0.0415119	−	0.0253596i
$876$	1.23196	−	0.711274i	0.0416242	−	0.0240317i
$877$	18.7975	−	18.7975i	0.634747	−	0.634747i	−0.314508	−	0.949255i	$-0.601840\pi$
$877$	18.7975	−	18.7975i	0.634747	−	0.634747i	0.949255	+	0.314508i	$0.101840\pi$
$878$	14.6337	−	14.6337i	0.493863	−	0.493863i
$879$	1.09999	+	1.90523i	0.0371017	+	0.0642620i
$880$	−9.85935	−	13.8358i	−0.332359	−	0.466404i
$881$	−20.3900	−	11.7722i	−0.686958	−	0.396616i	0.115513	−	0.993306i	$-0.463149\pi$
$881$	−20.3900	−	11.7722i	−0.686958	−	0.396616i	−0.802472	+	0.596690i	$0.796482\pi$
$882$	8.99839			0.302992
$883$	43.2363	+	24.9625i	1.45502	+	0.840054i	0.998760	−	0.0497942i	$-0.0158565\pi$
$883$	43.2363	+	24.9625i	1.45502	+	0.840054i	0.456257	+	0.889848i	$0.349190\pi$
$884$	9.01822	+	5.20667i	0.303315	+	0.175119i
$885$	−1.21571	−	12.6869i	−0.0408657	−	0.426467i
$886$	−34.9849	−	9.37418i	−1.17534	−	0.314932i
$887$	21.2888	+	21.2888i	0.714807	+	0.714807i	0.967537	−	0.252730i	$-0.0813285\pi$
$887$	21.2888	+	21.2888i	0.714807	+	0.714807i	−0.252730	+	0.967537i	$0.581329\pi$
$888$	21.4990	−	14.4592i	0.721460	−	0.485220i
$889$			1.29027i			0.0432741i
$890$	10.4049	−	3.88475i	0.348771	−	0.130217i
$891$	−10.1700	−	5.87165i	−0.340708	−	0.196708i
$892$	8.57778	−	2.29841i	0.287205	−	0.0769564i
$893$	10.1009	−	17.4953i	0.338015	−	0.585459i
$894$	28.2749	+	28.2749i	0.945654	+	0.945654i
$895$	−0.476776	−	0.393393i	−0.0159369	−	0.0131497i
$896$	−0.713795	+	0.713795i	−0.0238462	+	0.0238462i
$897$	73.5567	+	19.7094i	2.45599	+	0.658079i
$898$	6.07136	+	6.07136i	0.202604	+	0.202604i
$899$	19.0631			0.635791
$900$	0.304300	+	1.57323i	0.0101433	+	0.0524411i
$901$	3.45295	+	12.8866i	0.115034	+	0.429314i
$902$	−20.2590			−0.674550
$903$	−1.51864	+	0.876788i	−0.0505372	+	0.0291777i
$904$	−7.37248	+	4.25650i	−0.245205	+	0.141569i
$905$	12.7313	+	5.80909i	0.423204	+	0.193101i
$906$	−1.46656	+	0.392965i	−0.0487234	+	0.0130554i
$907$	0.936940	+	0.540942i	0.0311106	+	0.0179617i	0.515475	−	0.856905i	$-0.327616\pi$
$907$	0.936940	+	0.540942i	0.0311106	+	0.0179617i	−0.484364	+	0.874867i	$0.660949\pi$
$908$	−2.88212	+	1.66399i	−0.0956464	+	0.0552215i
$909$	3.35513	+	5.81125i	0.111282	+	0.192747i
$910$	−2.00295	+	0.747821i	−0.0663972	+	0.0247900i
$911$	−9.98581	+	9.98581i	−0.330845	+	0.330845i	−0.852907	−	0.522062i	$-0.825163\pi$
$911$	−9.98581	+	9.98581i	−0.330845	+	0.330845i	0.522062	+	0.852907i	$0.325163\pi$
$912$	4.59322	−	7.95568i	0.152097	−	0.263439i
$913$	12.5937	+	3.37447i	0.416791	+	0.111679i
$914$		−	0.426242i		−	0.0140988i
$915$	3.24971	−	2.31574i	0.107432	−	0.0765559i
$916$	2.24494	−	1.29611i	0.0741748	−	0.0428248i
$917$	2.30544			0.0761323
$918$	10.6880	+	39.8882i	0.352757	+	1.31651i
$919$	25.3108	−	25.3108i	0.834927	−	0.834927i	−0.153259	−	0.988186i	$-0.548977\pi$
$919$	25.3108	−	25.3108i	0.834927	−	0.834927i	0.988186	+	0.153259i	$0.0489769\pi$
$920$	−6.01557	−	62.7774i	−0.198327	−	2.06971i
$921$	11.4363	−	19.8082i	0.376837	−	0.652701i
$922$	8.92905	+	33.3237i	0.294062	+	1.09746i
$923$	18.4726	+	31.9954i	0.608032	+	1.05314i
$924$	0.137184			0.00451302
$925$	−15.1472	−	26.3735i	−0.498035	−	0.867157i
$926$	−35.5181			−1.16720
$927$	4.34479	+	7.52540i	0.142702	+	0.247166i
$928$	2.75418	+	10.2787i	0.0904104	+	0.337416i
$929$	−5.69135	+	9.85771i	−0.186727	+	0.323421i	−0.944157	−	0.329495i	$-0.893121\pi$
$929$	−5.69135	+	9.85771i	−0.186727	+	0.323421i	0.757430	+	0.652916i	$0.226455\pi$
$930$	−1.26410	−	13.1920i	−0.0414516	−	0.432581i
$931$	9.85108	−	9.85108i	0.322856	−	0.322856i
$932$	−2.33215	−	8.70370i	−0.0763921	−	0.285099i
$933$	−29.3971			−0.962418
$934$	−39.0834	+	22.5648i	−1.27885	+	0.738344i
$935$	23.9785	−	17.0870i	0.784179	−	0.558804i
$936$		−	17.1613i		−	0.560933i
$937$	−54.2517	−	14.5367i	−1.77233	−	0.474893i	−0.783176	−	0.621801i	$-0.786401\pi$
$937$	−54.2517	−	14.5367i	−1.77233	−	0.474893i	−0.989150	+	0.146907i	$0.953068\pi$
$938$	0.540721	−	0.936556i	0.0176552	−	0.0305797i
$939$	13.7355	−	13.7355i	0.448241	−	0.448241i
$940$	6.83419	−	2.55161i	0.222907	−	0.0832243i
$941$	13.1083	+	22.7042i	0.427318	+	0.740136i	0.996634	−	0.0819829i	$-0.0261253\pi$
$941$	13.1083	+	22.7042i	0.427318	+	0.740136i	−0.569316	+	0.822119i	$0.692792\pi$
$942$	−1.99106	+	1.14954i	−0.0648721	+	0.0374539i
$943$	−54.3567	−	31.3829i	−1.77010	−	1.02197i
$944$	12.6431	−	3.38770i	0.411497	−	0.110260i
$945$	1.48108	+	0.675792i	0.0481795	+	0.0219835i
$946$	25.2183	−	14.5598i	0.819916	−	0.473379i
$947$	9.84264	−	5.68265i	0.319843	−	0.184661i	−0.331480	−	0.943462i	$-0.607548\pi$
$947$	9.84264	−	5.68265i	0.319843	−	0.184661i	0.651323	+	0.758801i	$0.274215\pi$
$948$	−1.59771			−0.0518911
$949$	4.62875	+	17.2747i	0.150255	+	0.560761i
$950$	−10.7048	−	7.23484i	−0.347309	−	0.234729i
$951$	36.7644			1.19217
$952$	−1.54274	−	1.54274i	−0.0500005	−	0.0500005i
$953$	−9.54288	−	2.55701i	−0.309124	−	0.0828296i	0.100922	−	0.994894i	$-0.467821\pi$
$953$	−9.54288	−	2.55701i	−0.309124	−	0.0828296i	−0.410046	+	0.912065i	$0.634487\pi$
$954$	2.15686	−	2.15686i	0.0698311	−	0.0698311i
$955$	−8.03776	−	6.63204i	−0.260096	−	0.214608i
$956$	0.788021	+	0.788021i	0.0254864	+	0.0254864i
$957$	−9.76001	+	16.9048i	−0.315496	+	0.546456i
$958$	35.4549	−	9.50011i	1.14550	−	0.306935i
$959$	2.07925	+	1.20046i	0.0671425	+	0.0387648i
$960$	26.2232	−	9.79066i	0.846349	−	0.315992i
$961$		−	20.5599i		−	0.663223i
$962$	14.6547	+	42.7471i	0.472487	+	1.37822i
$963$	0.124470	+	0.124470i	0.00401098	+	0.00401098i
$964$	−6.07730	−	1.62841i	−0.195737	−	0.0524475i
$965$	3.99167	+	41.6563i	0.128496	+	1.34096i
$966$	−1.91695	−	1.10675i	−0.0616769	−	0.0356092i
$967$	21.5147	+	12.4215i	0.691866	+	0.399449i	0.804311	−	0.594209i	$-0.202535\pi$
$967$	21.5147	+	12.4215i	0.691866	+	0.399449i	−0.112445	+	0.993658i	$0.535868\pi$
$968$	16.6670			0.535699
$969$	13.7878	+	7.96039i	0.442928	+	0.255725i
$970$	−6.61855	−	9.28792i	−0.212509	−	0.298217i
$971$	−18.8570	−	32.6613i	−0.605151	−	1.04815i	−0.992028	−	0.126020i	$-0.959780\pi$
$971$	−18.8570	−	32.6613i	−0.605151	−	1.04815i	0.386877	−	0.922131i	$-0.373554\pi$
$972$	−2.24460	+	2.24460i	−0.0719957	+	0.0719957i
$973$	1.09996	−	1.09996i	0.0352632	−	0.0352632i
$974$	−10.1722	+	5.87295i	−0.325940	+	0.188181i
$975$	40.5066	+	2.87003i	1.29725	+	0.0919144i
$976$	2.89780	+	2.89780i	0.0927563	+	0.0927563i
$977$	19.2997	+	33.4281i	0.617453	+	1.06946i	0.989949	+	0.141426i	$0.0451687\pi$
$977$	19.2997	+	33.4281i	0.617453	+	1.06946i	−0.372496	+	0.928034i	$0.621498\pi$
$978$	0.234734	−	0.876038i	0.00750595	−	0.0280126i
$979$	2.31881	−	8.65392i	0.0741095	−	0.276580i
$980$	5.00780	−	0.479866i	0.159968	−	0.0153288i
$981$	1.53022	+	5.71085i	0.0488561	+	0.182333i
$982$	−18.3616	−	31.8032i	−0.585942	−	1.01488i
$983$	−20.4497	−	5.47948i	−0.652244	−	0.174768i	−0.0825010	−	0.996591i	$-0.526291\pi$
$983$	−20.4497	−	5.47948i	−0.652244	−	0.174768i	−0.569743	+	0.821823i	$0.692957\pi$
$984$	7.37961	−	27.5411i	0.235253	−	0.877978i
$985$	−3.54859	+	21.1457i	−0.113068	+	0.673757i
$986$	41.6019	−	11.1472i	1.32487	−	0.354999i
$987$	0.477671	−	1.78269i	0.0152044	−	0.0567437i
$988$	−2.60647	−	2.60647i	−0.0829228	−	0.0829228i
$989$	90.2173			2.86874
$990$	−6.12446	−	2.79449i	−0.194648	−	0.0888146i
$991$	−23.0224	−	23.0224i	−0.731329	−	0.731329i	0.239554	−	0.970883i	$-0.422999\pi$
$991$	−23.0224	−	23.0224i	−0.731329	−	0.731329i	−0.970883	+	0.239554i	$0.922999\pi$
$992$	−5.62923	+	1.50835i	−0.178728	+	0.0478901i
$993$			15.6639i			0.497080i
$994$	−0.277943	−	1.03730i	−0.00881582	−	0.0329011i
$995$	−13.6070	−	11.2273i	−0.431371	−	0.355929i
$996$	−1.27287	+	2.20468i	−0.0403325	+	0.0698579i
$997$	17.5754	−	10.1472i	0.556618	−	0.321364i	−0.195169	−	0.980770i	$-0.562526\pi$
$997$	17.5754	−	10.1472i	0.556618	−	0.321364i	0.751787	+	0.659406i	$0.229192\pi$
$998$	19.4581	−	19.4581i	0.615936	−	0.615936i
$999$	15.1256	−	30.9065i	0.478553	−	0.977838i

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

)

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	185.2.p.a.103.12	yes	68
5.2	odd	4		185.2.u.a.177.6	yes	68
5.3	odd	4		925.2.y.b.732.12		68
5.4	even	2		925.2.t.b.843.6		68
37.23	odd	12		185.2.u.a.23.6	yes	68
185.23	even	12		925.2.t.b.282.6		68
185.97	even	12	inner	185.2.p.a.97.12	✓	68
185.134	odd	12		925.2.y.b.393.12		68

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
185.2.p.a.97.12	✓	68	185.97	even	12	inner
185.2.p.a.103.12	yes	68	1.1	even	1	trivial
185.2.u.a.23.6	yes	68	37.23	odd	12
185.2.u.a.177.6	yes	68	5.2	odd	4
925.2.t.b.282.6		68	185.23	even	12
925.2.t.b.843.6		68	5.4	even	2
925.2.y.b.393.12		68	185.134	odd	12
925.2.y.b.732.12		68	5.3	odd	4

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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	185.2.p.a.103.12

Level	$185$
Weight	$2$
Character	185.103
Analytic conductor	$1.477$
Analytic rank	$0$
Dimension	$68$
Inner twists	$2$