LMFDB - Embedded newform 483.2.bf.a.10.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(10,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([0, 11, 9]))

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

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

chi := DirichletCharacter("483.10");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$483 = 3 \cdot 7 \cdot 23$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	483.bf (of order $66$ , degree $20$ , minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$32$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			10.8
Character	$\chi$	$=$	483.10
Dual form			483.2.bf.a.145.8

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.544288 + 1.57262i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.604770 - 0.475596i) q^{4} +(1.92390 - 0.183711i) q^{5} +(1.64721 - 0.236832i) q^{6} +(0.763953 + 2.53306i) q^{7} +(-1.72283 + 1.10720i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.758252 + 3.12556i) q^{10} +(3.76860 - 1.30433i) q^{11} +(-0.145605 + 0.755472i) q^{12} +(-0.663405 - 2.25935i) q^{13} +(-4.39934 - 0.177308i) q^{14} +(-1.04487 - 1.62585i) q^{15} +(-1.16626 - 4.80737i) q^{16} +(3.90548 + 1.56352i) q^{17} +(-0.965298 - 1.35557i) q^{18} +(-1.75029 + 0.700711i) q^{19} +(-1.25089 - 0.803899i) q^{20} +(1.90141 - 1.83974i) q^{21} +6.63650i q^{22} +(1.51901 + 4.54891i) q^{23} +(1.77356 + 1.02397i) q^{24} +(-1.24199 + 0.239373i) q^{25} +(3.91418 + 0.186455i) q^{26} +(0.989821 + 0.142315i) q^{27} +(0.742697 - 1.89525i) q^{28} +(1.49969 + 10.4306i) q^{29} +(3.12556 - 0.758252i) q^{30} +(7.19690 - 0.342831i) q^{31} +(4.11761 + 0.393184i) q^{32} +(-2.88621 - 2.75199i) q^{33} +(-4.58452 + 5.29082i) q^{34} +(1.93512 + 4.73301i) q^{35} +(0.738211 - 0.216758i) q^{36} +(-8.71711 - 6.20742i) q^{37} +(-0.149287 - 3.13393i) q^{38} +(-1.70420 + 1.62495i) q^{39} +(-3.11116 + 2.44665i) q^{40} +(2.91207 + 1.32990i) q^{41} +(1.85830 + 3.99154i) q^{42} +(1.00556 - 1.56468i) q^{43} +(-2.89947 - 1.00352i) q^{44} +(-0.966328 + 1.67373i) q^{45} +(-7.98048 - 0.0871048i) q^{46} +(-5.05862 + 2.92060i) q^{47} +(-3.73855 + 3.23947i) q^{48} +(-5.83275 + 3.87027i) q^{49} +(0.299556 - 2.08346i) q^{50} +(-0.399884 - 4.18777i) q^{51} +(-0.673332 + 1.68190i) q^{52} +(-2.03715 - 2.13651i) q^{53} +(-0.762555 + 1.47915i) q^{54} +(7.01081 - 3.20173i) q^{55} +(-4.12076 - 3.51819i) q^{56} +(1.42485 + 1.23464i) q^{57} +(-17.2196 - 3.31881i) q^{58} +(10.2462 + 2.48569i) q^{59} +(-0.141342 + 1.48020i) q^{60} +(3.70983 + 1.91255i) q^{61} +(-3.37805 + 11.5046i) q^{62} +(-2.50650 - 0.847020i) q^{63} +(1.25047 - 2.73814i) q^{64} +(-1.69139 - 4.22490i) q^{65} +(5.89876 - 3.04102i) q^{66} +(-1.43091 - 7.42429i) q^{67} +(-1.61831 - 2.80300i) q^{68} +(3.34719 - 3.43458i) q^{69} +(-8.49648 + 0.467082i) q^{70} +(-4.63339 - 5.34722i) q^{71} +(0.0974447 - 2.04562i) q^{72} +(-4.96191 + 6.30958i) q^{73} +(14.5065 - 10.3300i) q^{74} +(0.781875 + 0.994235i) q^{75} +(1.39178 + 0.408663i) q^{76} +(6.18297 + 8.54964i) q^{77} +(-1.62785 - 3.56450i) q^{78} +(1.71207 - 1.79556i) q^{79} +(-3.12693 - 9.03466i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(-3.67642 + 3.85572i) q^{82} +(-0.835020 - 1.82844i) q^{83} +(-2.02489 + 0.208318i) q^{84} +(7.80100 + 2.29058i) q^{85} +(1.91334 + 2.43300i) q^{86} +(8.58388 - 6.11255i) q^{87} +(-5.04853 + 6.41973i) q^{88} +(0.785355 - 16.4866i) q^{89} +(-2.10617 - 2.43065i) q^{90} +(5.21625 - 3.40648i) q^{91} +(1.24480 - 3.47348i) q^{92} +(-3.60253 - 6.23977i) q^{93} +(-1.83963 - 9.54493i) q^{94} +(-3.23866 + 1.66965i) q^{95} +(-1.53732 - 3.84004i) q^{96} +(-4.00170 + 8.76249i) q^{97} +(-2.91176 - 11.2792i) q^{98} +(-1.12353 + 3.82640i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43}+ \cdots - 44 q^{99}+O(q^{100})$ 640 * q - 4 * q^2 + 36 * q^4 + 24 * q^8 - 32 * q^9 + 4 * q^18 - 28 * q^23 + 56 * q^25 - 84 * q^26 - 176 * q^28 - 24 * q^29 + 12 * q^31 + 36 * q^32 - 76 * q^35 + 28 * q^36 + 44 * q^37 - 110 * q^42 - 88 * q^43 + 154 * q^44 + 8 * q^46 + 12 * q^47 - 8 * q^49 - 212 * q^50 + 44 * q^51 + 108 * q^52 - 110 * q^56 - 88 * q^57 + 2 * q^58 - 36 * q^59 - 168 * q^64 - 48 * q^70 + 16 * q^71 + 12 * q^72 - 48 * q^73 - 22 * q^74 + 48 * q^75 + 32 * q^78 - 44 * q^79 - 594 * q^80 + 32 * q^81 + 24 * q^82 + 352 * q^85 - 36 * q^87 - 330 * q^88 + 244 * q^92 - 24 * q^93 - 486 * q^94 - 154 * q^95 - 60 * q^96 - 24 * q^98 - 44 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$ .

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

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

)

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

$2$	−0.544288	+	1.57262i	−0.384870	+	1.11201i	0.571689	+	0.820470i	$0.306288\pi$
$2$	−0.544288	+	1.57262i	−0.384870	+	1.11201i	−0.956559	+	0.291538i	$0.905833\pi$
$3$	−0.458227	−	0.888835i	−0.264557	−	0.513169i
$3$	−0.458227	−	0.888835i	−0.264557	−	0.513169i
$4$	−0.604770	−	0.475596i	−0.302385	−	0.237798i
$5$	1.92390	−	0.183711i	0.860396	−	0.0821579i	0.344476	−	0.938795i	$-0.388056\pi$
$5$	1.92390	−	0.183711i	0.860396	−	0.0821579i	0.515919	+	0.856637i	$0.327450\pi$
$6$	1.64721	−	0.236832i	0.672469	−	0.0966864i
$7$	0.763953	+	2.53306i	0.288747	+	0.957405i
$7$	0.763953	+	2.53306i	0.288747	+	0.957405i
$8$	−1.72283	+	1.10720i	−0.609114	+	0.391454i
$9$	−0.580057	+	0.814576i	−0.193352	+	0.271525i
$10$	−0.758252	+	3.12556i	−0.239780	+	0.988388i
$11$	3.76860	−	1.30433i	1.13628	−	0.393269i	0.306780	−	0.951780i	$-0.400748\pi$
$11$	3.76860	−	1.30433i	1.13628	−	0.393269i	0.829497	+	0.558511i	$0.188627\pi$
$12$	−0.145605	+	0.755472i	−0.0420326	+	0.218086i
$13$	−0.663405	−	2.25935i	−0.183996	−	0.626631i	−0.998894	−	0.0470270i	$-0.985025\pi$
$13$	−0.663405	−	2.25935i	−0.183996	−	0.626631i	0.814898	−	0.579604i	$-0.196793\pi$
$14$	−4.39934	−	0.177308i	−1.17577	−	0.0473875i
$15$	−1.04487	−	1.62585i	−0.269785	−	0.419793i
$16$	−1.16626	−	4.80737i	−0.291564	−	1.20184i
$17$	3.90548	+	1.56352i	0.947217	+	0.379209i	0.793270	−	0.608870i	$-0.208377\pi$
$17$	3.90548	+	1.56352i	0.947217	+	0.379209i	0.153948	+	0.988079i	$0.450801\pi$
$18$	−0.965298	−	1.35557i	−0.227523	−	0.319511i
$19$	−1.75029	+	0.700711i	−0.401544	+	0.160754i	−0.563639	−	0.826021i	$-0.690599\pi$
$19$	−1.75029	+	0.700711i	−0.401544	+	0.160754i	0.162095	+	0.986775i	$0.448175\pi$
$20$	−1.25089	−	0.803899i	−0.279708	−	0.179757i
$21$	1.90141	−	1.83974i	0.414921	−	0.401465i
$22$			6.63650i			1.41491i
$23$	1.51901	+	4.54891i	0.316735	+	0.948514i
$23$	1.51901	+	4.54891i	0.316735	+	0.948514i
$24$	1.77356	+	1.02397i	0.362027	+	0.209017i
$25$	−1.24199	+	0.239373i	−0.248397	+	0.0478747i
$26$	3.91418	+	0.186455i	0.767634	+	0.0365669i
$27$	0.989821	+	0.142315i	0.190491	+	0.0273885i
$28$	0.742697	−	1.89525i	0.140357	−	0.358169i
$29$	1.49969	+	10.4306i	0.278486	+	1.93691i	0.343789	+	0.939047i	$0.388290\pi$
$29$	1.49969	+	10.4306i	0.278486	+	1.93691i	−0.0653026	+	0.997866i	$0.520801\pi$
$30$	3.12556	−	0.758252i	0.570646	−	0.138437i
$31$	7.19690	−	0.342831i	1.29260	−	0.0615742i	0.610022	−	0.792385i	$-0.291161\pi$
$31$	7.19690	−	0.342831i	1.29260	−	0.0615742i	0.682580	+	0.730810i	$0.260858\pi$
$32$	4.11761	+	0.393184i	0.727897	+	0.0695057i
$33$	−2.88621	−	2.75199i	−0.502424	−	0.479060i
$34$	−4.58452	+	5.29082i	−0.786239	+	0.907368i
$35$	1.93512	+	4.73301i	0.327095	+	0.800025i
$36$	0.738211	−	0.216758i	0.123035	−	0.0361264i
$37$	−8.71711	−	6.20742i	−1.43308	−	1.02049i	−0.992429	−	0.122817i	$-0.960807\pi$
$37$	−8.71711	−	6.20742i	−1.43308	−	1.02049i	−0.440654	−	0.897677i	$-0.645253\pi$
$38$	−0.149287	−	3.13393i	−0.0242176	−	0.508390i
$39$	−1.70420	+	1.62495i	−0.272891	+	0.260201i
$40$	−3.11116	+	2.44665i	−0.491918	+	0.386849i
$41$	2.91207	+	1.32990i	0.454788	+	0.207695i	0.629620	−	0.776904i	$-0.283211\pi$
$41$	2.91207	+	1.32990i	0.454788	+	0.207695i	−0.174831	+	0.984598i	$0.555938\pi$
$42$	1.85830	+	3.99154i	0.286741	+	0.615907i
$43$	1.00556	−	1.56468i	0.153347	−	0.238612i	−0.756077	−	0.654482i	$-0.772887\pi$
$43$	1.00556	−	1.56468i	0.153347	−	0.238612i	0.909424	+	0.415870i	$0.136523\pi$
$44$	−2.89947	−	1.00352i	−0.437112	−	0.151286i
$45$	−0.966328	+	1.67373i	−0.144052	+	0.249505i
$46$	−7.98048	−	0.0871048i	−1.17666	−	0.0128429i
$47$	−5.05862	+	2.92060i	−0.737876	+	0.426013i	−0.821297	−	0.570502i	$-0.806749\pi$
$47$	−5.05862	+	2.92060i	−0.737876	+	0.426013i	0.0834205	+	0.996514i	$0.473416\pi$
$48$	−3.73855	+	3.23947i	−0.539613	+	0.467578i
$49$	−5.83275	+	3.87027i	−0.833250	+	0.552896i
$50$	0.299556	−	2.08346i	0.0423636	−	0.294646i
$51$	−0.399884	−	4.18777i	−0.0559949	−	0.586405i
$52$	−0.673332	+	1.68190i	−0.0933743	+	0.233238i
$53$	−2.03715	−	2.13651i	−0.279825	−	0.293472i	0.568790	−	0.822482i	$-0.307412\pi$
$53$	−2.03715	−	2.13651i	−0.279825	−	0.293472i	−0.848615	+	0.529011i	$0.822563\pi$
$54$	−0.762555	+	1.47915i	−0.103771	+	0.201287i
$55$	7.01081	−	3.20173i	0.945338	−	0.431721i
$56$	−4.12076	−	3.51819i	−0.550660	−	0.470138i
$57$	1.42485	+	1.23464i	0.188726	+	0.163532i
$58$	−17.2196	−	3.31881i	−2.26104	−	0.435781i
$59$	10.2462	+	2.48569i	1.33394	+	0.323610i	0.838437	−	0.544998i	$-0.183470\pi$
$59$	10.2462	+	2.48569i	1.33394	+	0.323610i	0.495500	+	0.868608i	$0.334985\pi$
$60$	−0.141342	+	1.48020i	−0.0182472	+	0.191094i
$61$	3.70983	+	1.91255i	0.474996	+	0.244877i	0.679064	−	0.734079i	$-0.262386\pi$
$61$	3.70983	+	1.91255i	0.474996	+	0.244877i	−0.204068	+	0.978957i	$0.565416\pi$
$62$	−3.37805	+	11.5046i	−0.429013	+	1.46108i
$63$	−2.50650	−	0.847020i	−0.315790	−	0.106714i
$64$	1.25047	−	2.73814i	0.156308	−	0.342268i
$65$	−1.69139	−	4.22490i	−0.209792	−	0.524034i
$66$	5.89876	−	3.04102i	0.726087	−	0.374324i
$67$	−1.43091	−	7.42429i	−0.174814	−	0.907022i	−0.958333	−	0.285654i	$-0.907789\pi$
$67$	−1.43091	−	7.42429i	−0.174814	−	0.907022i	0.783519	−	0.621368i	$-0.213423\pi$
$68$	−1.61831	−	2.80300i	−0.196249	−	0.339914i
$69$	3.34719	−	3.43458i	0.402954	−	0.413475i
$70$	−8.49648	+	0.467082i	−1.01552	+	0.0558270i
$71$	−4.63339	−	5.34722i	−0.549883	−	0.634598i	0.410973	−	0.911647i	$-0.365189\pi$
$71$	−4.63339	−	5.34722i	−0.549883	−	0.634598i	−0.960856	+	0.277049i	$0.910644\pi$
$72$	0.0974447	−	2.04562i	0.0114840	−	0.241078i
$73$	−4.96191	+	6.30958i	−0.580748	+	0.738481i	−0.984305	−	0.176473i	$-0.943531\pi$
$73$	−4.96191	+	6.30958i	−0.580748	+	0.738481i	0.403558	+	0.914954i	$0.367774\pi$
$74$	14.5065	−	10.3300i	1.68635	−	1.20084i
$75$	0.781875	+	0.994235i	0.0902831	+	0.114804i
$76$	1.39178	+	0.408663i	0.159648	+	0.0468769i
$77$	6.18297	+	8.54964i	0.704615	+	0.974322i
$78$	−1.62785	−	3.56450i	−0.184318	−	0.403600i
$79$	1.71207	−	1.79556i	0.192623	−	0.202017i	−0.620339	−	0.784334i	$-0.713005\pi$
$79$	1.71207	−	1.79556i	0.192623	−	0.202017i	0.812962	+	0.582317i	$0.197854\pi$
$80$	−3.12693	−	9.03466i	−0.349601	−	1.01011i
$81$	−0.327068	−	0.945001i	−0.0363409	−	0.105000i
$82$	−3.67642	+	3.85572i	−0.405993	+	0.425793i
$83$	−0.835020	−	1.82844i	−0.0916553	−	0.200697i	0.858252	−	0.513228i	$-0.171551\pi$
$83$	−0.835020	−	1.82844i	−0.0916553	−	0.200697i	−0.949908	+	0.312531i	$0.898823\pi$
$84$	−2.02489	+	0.208318i	−0.220934	+	0.0227294i
$85$	7.80100	+	2.29058i	0.846137	+	0.248448i
$86$	1.91334	+	2.43300i	0.206320	+	0.262358i
$87$	8.58388	−	6.11255i	0.920289	−	0.655335i
$88$	−5.04853	+	6.41973i	−0.538175	+	0.684345i
$89$	0.785355	−	16.4866i	0.0832475	−	1.74758i	−0.442347	−	0.896844i	$-0.645854\pi$
$89$	0.785355	−	16.4866i	0.0832475	−	1.74758i	0.525594	−	0.850735i	$-0.323843\pi$
$90$	−2.10617	−	2.43065i	−0.222010	−	0.256213i
$91$	5.21625	−	3.40648i	0.546812	−	0.357096i
$92$	1.24480	−	3.47348i	0.129779	−	0.362135i
$93$	−3.60253	−	6.23977i	−0.373565	−	0.647034i
$94$	−1.83963	−	9.54493i	−0.189744	−	0.984484i
$95$	−3.23866	+	1.66965i	−0.332280	+	0.171302i
$96$	−1.53732	−	3.84004i	−0.156902	−	0.391923i
$97$	−4.00170	+	8.76249i	−0.406311	+	0.889696i	0.590280	+	0.807198i	$0.299017\pi$
$97$	−4.00170	+	8.76249i	−0.406311	+	0.889696i	−0.996591	+	0.0824982i	$0.973710\pi$
$98$	−2.91176	−	11.2792i	−0.294132	−	1.13937i
$99$	−1.12353	+	3.82640i	−0.112919	+	0.384567i
$100$	0.864962	+	0.445919i	0.0864962	+	0.0445919i
$101$	1.34961	−	14.1338i	0.134291	−	1.40636i	−0.637483	−	0.770465i	$-0.720024\pi$
$101$	1.34961	−	14.1338i	0.134291	−	1.40636i	0.771774	−	0.635897i	$-0.219370\pi$
$102$	6.80342	+	1.65049i	0.673639	+	0.163423i
$103$	8.82255	+	1.70041i	0.869312	+	0.167546i	0.604356	−	0.796714i	$-0.293430\pi$
$103$	8.82255	+	1.70041i	0.869312	+	0.167546i	0.264956	+	0.964261i	$0.414643\pi$
$104$	3.64449	+	3.15797i	0.357371	+	0.309664i
$105$	3.32014	−	3.88880i	0.324013	−	0.379508i
$106$	4.46870	−	2.04079i	0.434039	−	0.198219i
$107$	7.50860	−	14.5646i	0.725883	−	1.40802i	−0.179645	−	0.983732i	$-0.557495\pi$
$107$	7.50860	−	14.5646i	0.725883	−	1.40802i	0.905528	−	0.424286i	$-0.139475\pi$
$108$	−0.530930	−	0.556823i	−0.0510888	−	0.0535803i
$109$	2.88393	−	7.20372i	0.276231	−	0.689991i	−0.723769	−	0.690042i	$-0.757592\pi$
$109$	2.88393	−	7.20372i	0.276231	−	0.689991i	1.00000		5.09447e-5i	$1.62162e-5\pi$
$110$	1.21920	+	12.7680i	0.116246	+	1.21738i
$111$	−1.52297	+	10.5925i	−0.144554	+	1.00539i
$112$	11.2864	−	6.62679i	1.06646	−	0.626173i
$113$	0.285251	−	0.247172i	0.0268342	−	0.0232520i	−0.641340	−	0.767256i	$-0.721621\pi$
$113$	0.285251	−	0.247172i	0.0268342	−	0.0232520i	0.668175	+	0.744004i	$0.267076\pi$
$114$	−2.71714	+	1.56874i	−0.254483	+	0.146926i
$115$	3.75811	+	8.47262i	0.350445	+	0.790076i
$116$	4.05378	−	7.02136i	0.376384	−	0.651917i
$117$	2.22523	+	0.770158i	0.205722	+	0.0712012i
$118$	−9.48591	+	14.7604i	−0.873249	+	1.35880i
$119$	−0.976879	+	11.0872i	−0.0895503	+	1.01637i
$120$	3.60028	+	1.64419i	0.328659	+	0.150094i
$121$	3.85452	−	3.03123i	0.350411	−	0.275566i
$122$	−5.02693	+	4.79317i	−0.455117	+	0.433953i
$123$	−0.152327	−	3.19774i	−0.0137349	−	0.288331i
$124$	−4.51552	−	3.21549i	−0.405506	−	0.288759i
$125$	−11.6173	+	3.41116i	−1.03909	+	0.305103i
$126$	2.69630	−	3.48075i	0.240205	−	0.310090i
$127$	−6.52796	+	7.53367i	−0.579263	+	0.668505i	−0.967446	−	0.253077i	$-0.918557\pi$
$127$	−6.52796	+	7.53367i	−0.579263	+	0.668505i	0.388183	+	0.921582i	$0.373103\pi$
$128$	9.61265	+	9.16564i	0.849646	+	0.810136i
$129$	−1.85152	−	0.176799i	−0.163017	−	0.0155663i
$130$	7.56476	−	0.360354i	0.663473	−	0.0316051i
$131$	−3.01810	+	0.732183i	−0.263693	+	0.0639711i	−0.365425	−	0.930841i	$-0.619076\pi$
$131$	−3.01810	+	0.732183i	−0.263693	+	0.0639711i	0.101733	+	0.994812i	$0.467561\pi$
$132$	0.436653	+	3.03699i	0.0380058	+	0.264336i
$133$	−3.11208	−	3.89828i	−0.269852	−	0.338023i
$134$	12.4544	+	1.79067i	1.07590	+	0.154691i
$135$	1.93047	+	0.0919594i	0.166148	+	0.00791461i
$136$	−8.45961	+	1.63046i	−0.725406	+	0.139810i
$137$	−5.58047	−	3.22189i	−0.476772	−	0.275264i	0.242298	−	0.970202i	$-0.422099\pi$
$137$	−5.58047	−	3.22189i	−0.476772	−	0.275264i	−0.719070	+	0.694937i	$0.755432\pi$
$138$	3.57945	+	7.13325i	0.304703	+	0.607222i
$139$		−	17.6033i		−	1.49309i	−0.665334	−	0.746546i	$-0.731711\pi$
$139$		−	17.6033i		−	1.49309i	0.665334	−	0.746546i	$-0.268289\pi$
$140$	1.08070	−	3.78272i	0.0913359	−	0.319698i
$141$	4.91393	+	3.15799i	0.413827	+	0.265951i
$142$	10.9310	−	4.37613i	0.917312	−	0.367236i
$143$	−5.44704	−	7.64930i	−0.455505	−	0.639667i
$144$	4.59246	+	1.83854i	0.382705	+	0.153212i
$145$	4.80147	+	19.7919i	0.398741	+	1.64363i
$146$	−7.22185	−	11.2374i	−0.597685	−	0.930016i
$147$	6.11276	+	3.41090i	0.504172	+	0.281326i
$148$	2.31962	+	7.89989i	0.190671	+	0.649367i
$149$	−2.90725	+	15.0842i	−0.238171	+	1.23575i	0.644076	+	0.764961i	$0.277242\pi$
$149$	−2.90725	+	15.0842i	−0.238171	+	1.23575i	−0.882247	+	0.470787i	$0.843970\pi$
$150$	−1.98912	+	0.688440i	−0.162411	+	0.0562109i
$151$	4.89980	−	20.1973i	0.398740	−	1.64363i	−0.319318	−	0.947648i	$-0.603454\pi$
$151$	4.89980	−	20.1973i	0.398740	−	1.64363i	0.718058	−	0.695983i	$-0.245031\pi$
$152$	2.23963	−	3.14513i	0.181658	−	0.255103i
$153$	−3.53900	+	2.27438i	−0.286111	+	0.183873i
$154$	−16.8106	+	5.06997i	−1.35464	+	0.408550i
$155$	13.7832	−	1.98172i	1.10709	−	0.159176i
$156$	1.80347	−	0.172211i	0.144393	−	0.0137879i
$157$	−4.28950	−	3.37330i	−0.342340	−	0.269219i	0.432155	−	0.901799i	$-0.357753\pi$
$157$	−4.28950	−	3.37330i	−0.342340	−	0.269219i	−0.774495	+	0.632580i	$0.781996\pi$
$158$	1.89188	+	3.66973i	0.150510	+	0.291948i
$159$	−0.965524	+	2.78970i	−0.0765710	+	0.221237i
$160$	7.99411			0.631990
$161$	−10.3622	+	7.32288i	−0.816657	+	0.577124i
$162$	1.66414			0.130748
$163$	6.27770	−	18.1382i	0.491707	−	1.42069i	−0.377390	−	0.926054i	$-0.623178\pi$
$163$	6.27770	−	18.1382i	0.491707	−	1.42069i	0.869098	−	0.494641i	$-0.164700\pi$
$164$	−1.12864	−	2.18925i	−0.0881317	−	0.170952i
$165$	−6.05835	−	4.76434i	−0.471642	−	0.370903i
$166$	3.32993	−	0.317969i	0.258452	−	0.0246792i
$167$	9.01401	−	1.29602i	0.697525	−	0.100289i	0.215574	−	0.976487i	$-0.430838\pi$
$167$	9.01401	−	1.29602i	0.697525	−	0.100289i	0.481950	+	0.876198i	$0.339929\pi$
$168$	−1.23885	+	5.27480i	−0.0955794	+	0.406960i
$169$	6.27173	−	4.03060i	0.482441	−	0.310046i
$170$	−7.84820	+	11.0213i	−0.601929	+	0.845291i
$171$	0.444486	−	1.83220i	0.0339907	−	0.140112i
$172$	−1.35229	+	0.468033i	−0.103111	+	0.0356872i
$173$	2.21154	−	11.4746i	0.168140	−	0.872396i	−0.795654	−	0.605751i	$-0.792873\pi$
$173$	2.21154	−	11.4746i	0.168140	−	0.872396i	0.963795	−	0.266645i	$-0.0859150\pi$
$174$	4.94060	+	16.8262i	0.374546	+	1.27559i
$175$	−1.55517	−	2.96315i	−0.117559	−	0.223993i
$176$	−10.6655	−	16.5959i	−0.803945	−	1.25096i
$177$	−2.48569	−	10.2462i	−0.186836	−	0.770149i
$178$	25.4997	+	10.2085i	1.91128	+	0.765163i
$179$	−10.2596	−	14.4075i	−0.766835	−	1.07687i	−0.994664	−	0.103168i	$-0.967102\pi$
$179$	−10.2596	−	14.4075i	−0.766835	−	1.07687i	0.227829	−	0.973701i	$-0.426837\pi$
$180$	1.38043	−	0.552639i	0.102891	−	0.0411913i
$181$	−14.6044	−	9.38566i	−1.08553	−	0.697631i	−0.129705	−	0.991553i	$-0.541403\pi$
$181$	−14.6044	−	9.38566i	−1.08553	−	0.697631i	−0.955829	+	0.293922i	$0.905039\pi$
$182$	2.51795	+	10.0573i	0.186643	+	0.745495i
$183$		−	4.17381i		−	0.308537i
$184$	−7.65354	−	6.15518i	−0.564227	−	0.453766i
$185$	−17.9112	−	10.3411i	−1.31686	−	0.760290i
$186$	11.7736	−	2.26917i	0.863281	−	0.166384i
$187$	16.7575	+	0.798260i	1.22543	+	0.0583745i
$188$	4.44833	+	0.639573i	0.324428	+	0.0466457i
$189$	0.395685	+	2.61600i	0.0287819	+	0.190286i
$190$	−0.862950	−	6.00195i	−0.0626050	−	0.435427i
$191$	6.55783	−	1.59091i	0.474508	−	0.115114i	0.00862896	−	0.999963i	$-0.497253\pi$
$191$	6.55783	−	1.59091i	0.474508	−	0.115114i	0.465879	+	0.884848i	$0.345738\pi$
$192$	−3.00676	+	0.143229i	−0.216994	+	0.0103367i
$193$	−11.7965	−	1.12643i	−0.849134	−	0.0810824i	−0.338590	−	0.940934i	$-0.609950\pi$
$193$	−11.7965	−	1.12643i	−0.849134	−	0.0810824i	−0.510544	+	0.859852i	$0.670556\pi$
$194$	−11.6020	−	11.0625i	−0.832973	−	0.794238i
$195$	−2.98020	+	3.43933i	−0.213416	+	0.246296i
$196$	5.36816	+	0.433413i	0.383440	+	0.0309581i
$197$	−17.3096	+	5.08257i	−1.23326	+	0.362118i	−0.832480	−	0.554056i	$-0.813079\pi$
$197$	−17.3096	+	5.08257i	−1.23326	+	0.362118i	−0.400781	+	0.916174i	$0.631261\pi$
$198$	−5.40593	−	3.84955i	−0.384183	−	0.273576i
$199$	0.864531	+	18.1487i	0.0612850	+	1.28653i	0.794806	+	0.606863i	$0.207572\pi$
$199$	0.864531	+	18.1487i	0.0612850	+	1.28653i	−0.733521	+	0.679667i	$0.762125\pi$
$200$	1.87470	−	1.78753i	0.132562	−	0.126397i
$201$	−5.94329	+	4.67386i	−0.419207	+	0.329668i
$202$	21.4924	+	9.81526i	1.51220	+	0.690599i
$203$	−25.2756	+	11.7673i	−1.77400	+	0.825902i
$204$	−1.74985	+	2.72282i	−0.122514	+	0.190636i
$205$	5.84685	+	2.02361i	0.408362	+	0.141335i
$206$	−7.47610	+	12.9490i	−0.520885	+	0.902199i
$207$	−4.58655	−	1.40128i	−0.318787	−	0.0973959i
$208$	−10.0878	+	5.82421i	−0.699466	+	0.403837i
$209$	−5.68220	+	4.92365i	−0.393046	+	0.340576i
$210$	4.30847	+	7.33794i	0.297313	+	0.506366i
$211$	−1.26905	+	8.82641i	−0.0873648	+	0.607635i	0.898359	+	0.439263i	$0.144760\pi$
$211$	−1.26905	+	8.82641i	−0.0873648	+	0.607635i	−0.985723	+	0.168373i	$0.946149\pi$
$212$	0.215895	+	2.26096i	0.0148277	+	0.155283i
$213$	−2.62966	+	6.56856i	−0.180181	+	0.450070i
$214$	18.8178	+	19.7355i	1.28636	+	1.34909i
$215$	1.64716	−	3.19504i	0.112335	−	0.217900i
$216$	−1.86287	+	0.850743i	−0.126752	+	0.0578858i
$217$	6.36650	+	17.9683i	0.432186	+	1.21976i
$218$	9.75900	+	8.45623i	0.660963	+	0.572728i
$219$	7.88186	+	1.51910i	0.532607	+	0.102652i
$220$	−5.76266	−	1.39801i	−0.388519	−	0.0942536i
$221$	0.941620	−	9.86109i	0.0633402	−	0.663329i
$222$	−15.8290	−	8.16041i	−1.06237	−	0.547691i
$223$	−2.88043	+	9.80984i	−0.192888	+	0.656915i	0.805078	+	0.593168i	$0.202123\pi$
$223$	−2.88043	+	9.80984i	−0.192888	+	0.656915i	−0.997966	+	0.0637468i	$0.979695\pi$
$224$	2.14970	+	10.7305i	0.143633	+	0.716962i
$225$	0.525435	−	1.15054i	0.0350290	−	0.0767029i
$226$	0.233448	+	0.583124i	0.0155287	+	0.0387888i
$227$	14.9437	−	7.70402i	0.991849	−	0.511334i	0.115653	−	0.993290i	$-0.463104\pi$
$227$	14.9437	−	7.70402i	0.991849	−	0.511334i	0.876195	+	0.481956i	$0.160073\pi$
$228$	−0.274516	−	1.42432i	−0.0181803	−	0.0943281i
$229$	−5.68935	−	9.85424i	−0.375963	−	0.651187i	0.614508	−	0.788911i	$-0.289355\pi$
$229$	−5.68935	−	9.85424i	−0.375963	−	0.651187i	−0.990471	+	0.137724i	$0.956021\pi$
$230$	−15.3697	+	1.29852i	−1.01345	+	0.0856217i
$231$	4.76603	−	9.41331i	0.313582	−	0.619351i
$232$	−14.1325	−	16.3097i	−0.927841	−	1.07079i
$233$	−0.457318	+	9.60028i	−0.0299599	+	0.628935i	0.933095	+	0.359630i	$0.117097\pi$
$233$	−0.457318	+	9.60028i	−0.0299599	+	0.628935i	−0.963055	+	0.269305i	$0.913206\pi$
$234$	−2.42233	+	3.08024i	−0.158353	+	0.201362i
$235$	−9.19576	+	6.54827i	−0.599865	+	0.427162i
$236$	−5.01439	−	6.37631i	−0.326409	−	0.415063i
$237$	−2.38048	−	0.698971i	−0.154629	−	0.0454030i
$238$	−16.9043	−	7.57092i	−1.09574	−	0.490750i
$239$	3.12781	+	6.84894i	0.202321	+	0.443021i	0.983410	−	0.181399i	$-0.0580626\pi$
$239$	3.12781	+	6.84894i	0.202321	+	0.443021i	−0.781089	+	0.624420i	$0.785335\pi$
$240$	−6.59749	+	6.91925i	−0.425866	+	0.446635i
$241$	0.286743	+	0.828488i	0.0184707	+	0.0533676i	0.953859	−	0.300254i	$-0.0970714\pi$
$241$	0.286743	+	0.828488i	0.0184707	+	0.0533676i	−0.935389	+	0.353621i	$0.884950\pi$
$242$	2.66899	+	7.71155i	0.171569	+	0.495717i
$243$	−0.690079	+	0.723734i	−0.0442686	+	0.0464276i
$244$	−1.33399	−	2.92104i	−0.0854002	−	0.187000i
$245$	−10.5106	+	8.51757i	−0.671501	+	0.544167i
$246$	5.11173	+	1.50094i	0.325912	+	0.0956965i
$247$	2.74430	+	3.48967i	0.174616	+	0.222042i
$248$	−12.0195	+	8.55904i	−0.763238	+	0.543499i
$249$	−1.24255	+	1.58003i	−0.0787436	+	0.100131i
$250$	0.958733	−	20.1263i	0.0606356	−	1.27290i
$251$	12.3608	+	14.2651i	0.780204	+	0.900404i	0.997124	−	0.0757856i	$-0.0241464\pi$
$251$	12.3608	+	14.2651i	0.780204	+	0.900404i	−0.216920	+	0.976189i	$0.569601\pi$
$252$	1.11302	+	1.70434i	0.0701136	+	0.107363i
$253$	11.6578	+	15.1618i	0.732920	+	0.953213i
$254$	−8.29449	−	14.3665i	−0.520442	−	0.901433i
$255$	−1.53868	−	7.98341i	−0.0963556	−	0.499940i
$256$	−14.2950	+	7.36960i	−0.893439	+	0.460600i
$257$	11.3003	+	28.2269i	0.704896	+	1.76075i	0.647085	+	0.762418i	$0.275988\pi$
$257$	11.3003	+	28.2269i	0.704896	+	1.76075i	0.0578115	+	0.998328i	$0.481588\pi$
$258$	1.28580	−	2.81551i	0.0800503	−	0.175286i
$259$	9.06430	−	26.8231i	0.563228	−	1.66671i
$260$	−0.986442	+	3.35951i	−0.0611766	+	0.208348i
$261$	−9.36642	−	4.82872i	−0.579767	−	0.298891i
$262$	0.491272	−	5.14483i	0.0303509	−	0.317849i
$263$	−0.138848	−	0.0336842i	−0.00856174	−	0.00207706i	0.231476	−	0.972841i	$-0.425645\pi$
$263$	−0.138848	−	0.0336842i	−0.00856174	−	0.00207706i	−0.240038	+	0.970764i	$0.577160\pi$
$264$	8.01945	+	1.54562i	0.493563	+	0.0951265i
$265$	−4.31179	−	3.73618i	−0.264871	−	0.229512i
$266$	7.82437	−	2.77232i	0.479743	−	0.169982i
$267$	−15.0138	+	6.85656i	−0.918828	+	0.419615i
$268$	−2.66559	+	5.17053i	−0.162827	+	0.315840i
$269$	−18.2702	−	19.1612i	−1.11395	−	1.16828i	−0.984260	−	0.176724i	$-0.943450\pi$
$269$	−18.2702	−	19.1612i	−1.11395	−	1.16828i	−0.129691	−	0.991554i	$-0.541398\pi$
$270$	−1.19535	+	2.98583i	−0.0727465	+	0.181712i
$271$	0.126246	+	1.32211i	0.00766888	+	0.0803122i	0.998496	−	0.0548226i	$-0.0174593\pi$
$271$	0.126246	+	1.32211i	0.00766888	+	0.0803122i	−0.990827	+	0.135135i	$0.956853\pi$
$272$	2.96162	−	20.5985i	0.179575	−	1.24897i
$273$	−5.41803	−	3.07545i	−0.327914	−	0.186135i
$274$	8.10418	−	7.02231i	0.489591	−	0.424233i
$275$	−4.36834	+	2.52206i	−0.263421	+	0.152086i
$276$	−3.65775	+	0.485221i	−0.220171	+	0.0292068i
$277$	−14.4497	+	25.0276i	−0.868198	+	1.50376i	−0.00436197	+	0.999990i	$0.501388\pi$
$277$	−14.4497	+	25.0276i	−0.868198	+	1.50376i	−0.863836	+	0.503773i	$0.831945\pi$
$278$	27.6833	+	9.58127i	1.66033	+	0.574646i
$279$	−3.89535	+	6.06129i	−0.233209	+	0.362880i
$280$	−8.57427	−	6.01163i	−0.512411	−	0.359264i
$281$	7.05050	+	3.21985i	0.420597	+	0.192080i	0.614459	−	0.788948i	$-0.289374\pi$
$281$	7.05050	+	3.21985i	0.420597	+	0.192080i	−0.193862	+	0.981029i	$0.562101\pi$
$282$	−7.64090	+	6.00887i	−0.455009	+	0.357823i
$283$	−1.74529	+	1.66414i	−0.103747	+	0.0989226i	−0.740178	−	0.672411i	$-0.765259\pi$
$283$	−1.74529	+	1.66414i	−0.103747	+	0.0989226i	0.636431	+	0.771334i	$0.280410\pi$
$284$	0.259018	+	5.43746i	0.0153699	+	0.322654i
$285$	2.96808	+	2.11356i	0.175814	+	0.125197i
$286$	14.9942	−	4.40269i	0.886625	−	0.260337i
$287$	−1.14402	+	8.39241i	−0.0675295	+	0.495388i
$288$	−2.70872	+	3.12603i	−0.159613	+	0.184203i
$289$	0.504689	+	0.481220i	0.0296876	+	0.0283070i
$290$	−33.7386	−	3.22164i	−1.98120	−	0.189181i
$291$	9.62210	−	0.458357i	0.564057	−	0.0268694i
$292$	6.00163	−	1.45598i	0.351219	−	0.0852048i
$293$	2.83066	+	19.6877i	0.165369	+	1.15017i	0.888306	+	0.459253i	$0.151883\pi$
$293$	2.83066	+	19.6877i	0.165369	+	1.15017i	−0.722936	+	0.690915i	$0.757208\pi$
$294$	−8.69114	+	7.75652i	−0.506877	+	0.452369i
$295$	20.1693	+	2.89991i	1.17430	+	0.168839i
$296$	21.8910	+	1.04280i	1.27239	+	0.0606113i
$297$	3.91587	−	0.754722i	0.227222	−	0.0437934i
$298$	−22.1393	−	12.7822i	−1.28250	−	0.740450i
$299$	9.26988	−	6.44974i	0.536091	−	0.372998i
$300$		−	0.973140i		−	0.0561843i
$301$	4.73164	+	1.35180i	0.272727	+	0.0779165i
$302$	29.0957	+	18.6987i	1.67427	+	1.07599i
$303$	−13.1810	+	5.27688i	−0.757230	+	0.303149i
$304$	5.40986	+	7.59709i	0.310277	+	0.435723i
$305$	7.48872	+	2.99803i	0.428803	+	0.171667i
$306$	−1.65049	−	6.80342i	−0.0943523	−	0.388925i
$307$	0.616398	+	0.959133i	0.0351797	+	0.0547406i	0.858398	−	0.512984i	$-0.171460\pi$
$307$	0.616398	+	0.959133i	0.0351797	+	0.0547406i	−0.823218	+	0.567725i	$0.807824\pi$
$308$	0.326907	−	8.11117i	0.0186272	−	0.462177i
$309$	−2.53134	−	8.62097i	−0.144003	−	0.490430i
$310$	−4.38553	+	22.7543i	−0.249081	+	1.29236i
$311$	−2.16422	+	0.749043i	−0.122721	+	0.0424743i	−0.387738	−	0.921769i	$-0.626744\pi$
$311$	−2.16422	+	0.749043i	−0.122721	+	0.0424743i	0.265017	+	0.964244i	$0.414622\pi$
$312$	1.13691	−	4.68641i	0.0643649	−	0.265316i
$313$	4.21490	−	5.91901i	0.238240	−	0.334562i	−0.678094	−	0.734975i	$-0.737194\pi$
$313$	4.21490	−	5.91901i	0.238240	−	0.334562i	0.916335	+	0.400413i	$0.131133\pi$
$314$	7.63964	−	4.90970i	0.431130	−	0.277070i
$315$	−4.97788	−	1.16911i	−0.280472	−	0.0658721i
$316$	−1.88937	+	0.271651i	−0.106285	+	0.0152815i
$317$	9.40881	−	0.898433i	0.528452	−	0.0504610i	0.172579	−	0.984996i	$-0.444790\pi$
$317$	9.40881	−	0.898433i	0.528452	−	0.0504610i	0.355872	+	0.934535i	$0.384184\pi$
$318$	−3.86160	−	3.03680i	−0.216548	−	0.170295i
$319$	19.2566	+	37.3527i	1.07817	+	2.09135i
$320$	1.90275	−	5.49765i	0.106367	−	0.307328i
$321$	−16.3862			−0.914589
$322$	−5.87607	−	20.2816i	−0.327460	−	1.13025i
$323$	−7.93130			−0.441309
$324$	−0.251638	+	0.727061i	−0.0139799	+	0.0403923i
$325$	1.36477	+	2.64728i	0.0757038	+	0.146845i
$326$	25.1076	+	19.7448i	1.39058	+	1.09357i
$327$	−7.72442	+	0.737592i	−0.427161	+	0.0407889i
$328$	−6.48946	+	0.933044i	−0.358321	+	0.0515187i
$329$	−11.2626	−	10.5826i	−0.620927	−	0.583437i
$330$	10.7900	−	6.93430i	0.593969	−	0.381720i
$331$	8.31502	−	11.6768i	0.457035	−	0.641816i	−0.520183	−	0.854055i	$-0.674136\pi$
$331$	8.31502	−	11.6768i	0.457035	−	0.641816i	0.977218	+	0.212239i	$0.0680756\pi$
$332$	−0.364604	+	1.50292i	−0.0200102	+	0.0824833i
$333$	10.1128	−	3.50009i	0.554180	−	0.191804i
$334$	−2.86808	+	14.8810i	−0.156934	+	0.814252i
$335$	−4.11686	−	14.0207i	−0.224928	−	0.766035i
$336$	−11.0618	−	6.99516i	−0.603473	−	0.381617i
$337$	−11.7766	−	18.3248i	−0.641513	−	0.998214i	−0.997956	−	0.0638973i	$-0.979647\pi$
$337$	−11.7766	−	18.3248i	−0.641513	−	0.998214i	0.356443	−	0.934317i	$-0.383989\pi$
$338$	2.92496	+	12.0568i	0.159097	+	0.655806i
$339$	−0.350405	−	0.140281i	−0.0190314	−	0.00761901i
$340$	−3.62842	−	5.09540i	−0.196779	−	0.276337i
$341$	26.6751	−	10.6791i	1.44454	−	0.578306i
$342$	2.63942	+	1.69625i	0.142723	+	0.0917227i
$343$	−14.2596	−	11.8180i	−0.769944	−	0.638112i
$344$			3.80905i			0.205370i
$345$	5.80870	−	7.22271i	0.312730	−	0.388858i
$346$	16.8414	+	9.72339i	0.905399	+	0.522732i
$347$	−13.7539	+	2.65084i	−0.738346	+	0.142305i	−0.544540	−	0.838735i	$-0.683296\pi$
$347$	−13.7539	+	2.65084i	−0.738346	+	0.142305i	−0.193807	+	0.981040i	$0.562083\pi$
$348$	−8.09838	−	0.385774i	−0.434119	−	0.0206796i
$349$	23.4218	+	3.36755i	1.25374	+	0.180261i	0.737007	−	0.675885i	$-0.236238\pi$
$349$	23.4218	+	3.36755i	1.25374	+	0.180261i	0.516735	+	0.856146i	$0.327147\pi$
$350$	5.50637	−	0.832871i	0.294328	−	0.0445188i
$351$	−0.335114	−	2.33077i	−0.0178870	−	0.124407i
$352$	16.0305	−	3.88895i	0.854427	−	0.207282i
$353$	−12.4123	+	0.591269i	−0.660638	+	0.0314701i	−0.375224	−	0.926934i	$-0.622434\pi$
$353$	−12.4123	+	0.591269i	−0.660638	+	0.0314701i	−0.285414	+	0.958404i	$0.592131\pi$
$354$	17.4662	+	1.66782i	0.928320	+	0.0886438i
$355$	−9.89654	−	9.43633i	−0.525254	−	0.500829i
$356$	−8.31594	+	9.59711i	−0.440744	+	0.508646i
$357$	10.3024	−	4.21219i	0.545259	−	0.222933i
$358$	28.2417	−	8.29251i	1.49262	−	0.438273i
$359$	−16.7050	−	11.8956i	−0.881654	−	0.627823i	0.0469489	−	0.998897i	$-0.485050\pi$
$359$	−16.7050	−	11.8956i	−0.881654	−	0.627823i	−0.928603	+	0.371074i	$0.878990\pi$
$360$	−0.188327	−	3.95347i	−0.00992571	−	0.208366i
$361$	−11.1784	+	10.6586i	−0.588338	+	0.560979i
$362$	22.7090	−	17.8586i	1.19356	−	0.938627i
$363$	−4.46051	−	2.03705i	−0.234116	−	0.106917i
$364$	−4.77474	−	0.420695i	−0.250265	−	0.0220504i
$365$	−8.38710	+	13.0506i	−0.439001	+	0.683099i
$366$	6.56381	+	2.27176i	0.343096	+	0.118747i
$367$	−1.43624	+	2.48764i	−0.0749712	+	0.129854i	−0.901074	−	0.433666i	$-0.857220\pi$
$367$	−1.43624	+	2.48764i	−0.0749712	+	0.129854i	0.826103	+	0.563520i	$0.190553\pi$
$368$	20.0968	−	12.6076i	1.04762	−	0.657218i
$369$	−2.77247	+	1.60068i	−0.144329	+	0.0833283i
$370$	26.0114	−	22.5390i	1.35227	−	1.17175i
$371$	3.85560	−	6.79242i	0.200173	−	0.352645i
$372$	−0.788908	+	5.48698i	−0.0409030	+	0.284487i
$373$	−1.43670	−	15.0458i	−0.0743893	−	0.779040i	−0.953294	−	0.302043i	$-0.902331\pi$
$373$	−1.43670	−	15.0458i	−0.0743893	−	0.779040i	0.878905	−	0.476997i	$-0.158275\pi$
$374$	−10.3763	+	25.9187i	−0.536545	+	1.34022i
$375$	8.35533	+	8.76281i	0.431467	+	0.452510i
$376$	5.48149	−	10.6326i	0.282686	−	0.548335i
$377$	22.5715	−	10.3080i	1.16249	−	0.530891i
$378$	−4.32933	−	0.801594i	−0.222677	−	0.0412296i
$379$	7.53594	+	6.52993i	0.387095	+	0.335420i	0.826569	−	0.562836i	$-0.190290\pi$
$379$	7.53594	+	6.52993i	0.387095	+	0.335420i	−0.439474	+	0.898255i	$0.644835\pi$
$380$	2.75273	+	0.530544i	0.141212	+	0.0272163i
$381$	9.68747	+	2.35016i	0.496304	+	0.120402i
$382$	−1.06745	+	11.1789i	−0.0546157	+	0.571961i
$383$	5.61073	+	2.89253i	0.286695	+	0.147802i	0.595576	−	0.803299i	$-0.296924\pi$
$383$	5.61073	+	2.89253i	0.286695	+	0.147802i	−0.308880	+	0.951101i	$0.599954\pi$
$384$	3.74198	−	12.7440i	0.190957	−	0.650340i
$385$	13.4661	+	15.3128i	0.686296	+	0.780413i
$386$	8.19217	−	17.9383i	0.416970	−	0.913038i
$387$	0.691271	+	1.72671i	0.0351393	+	0.0877737i
$388$	6.58752	−	3.39610i	0.334431	−	0.172411i
$389$	2.70350	+	14.0271i	0.137073	+	0.711201i	0.983814	+	0.179195i	$0.0573494\pi$
$389$	2.70350	+	14.0271i	0.137073	+	0.711201i	−0.846741	+	0.532006i	$0.821439\pi$
$390$	−3.78667	−	6.55870i	−0.191745	−	0.332113i
$391$	−1.17986	+	20.1407i	−0.0596682	+	1.01856i
$392$	5.76371	−	13.1258i	0.291111	−	0.662955i
$393$	2.03376	+	2.34709i	0.102590	+	0.118395i
$394$	1.42850	−	29.9878i	0.0719666	−	1.51076i
$395$	2.96399	−	3.76902i	0.149134	−	0.189640i
$396$	2.49930	−	1.77974i	0.125595	−	0.0894355i
$397$	9.62293	+	12.2365i	0.482961	+	0.614135i	0.965075	−	0.261974i	$-0.0843733\pi$
$397$	9.62293	+	12.2365i	0.482961	+	0.614135i	−0.482114	+	0.876108i	$0.660131\pi$
$398$	−29.0116	−	8.51857i	−1.45422	−	0.426997i
$399$	−2.03889	+	4.55242i	−0.102072	+	0.227906i
$400$	2.59923	+	5.69152i	0.129962	+	0.284576i
$401$	−9.66328	+	10.1346i	−0.482561	+	0.506096i	−0.919335	−	0.393476i	$-0.871273\pi$
$401$	−9.66328	+	10.1346i	−0.482561	+	0.506096i	0.436774	+	0.899571i	$0.356121\pi$
$402$	−4.11532	−	11.8904i	−0.205254	−	0.593042i
$403$	−5.54904	−	16.0329i	−0.276417	−	0.798656i
$404$	−7.53817	+	7.90581i	−0.375038	+	0.393329i
$405$	−0.802854	−	1.75800i	−0.0398941	−	0.0873560i
$406$	−4.74823	−	46.1536i	−0.235651	−	2.29057i
$407$	−40.9478	−	12.0234i	−2.02971	−	0.595976i
$408$	5.32563	+	6.77208i	0.263658	+	0.335268i
$409$	18.9744	−	13.5116i	0.938222	−	0.668105i	−0.00509913	−	0.999987i	$-0.501623\pi$
$409$	18.9744	−	13.5116i	0.938222	−	0.668105i	0.943321	+	0.331882i	$0.107684\pi$
$410$	−6.36474	+	8.09343i	−0.314332	+	0.399706i
$411$	−0.306607	+	6.43647i	−0.0151238	+	0.317488i
$412$	−4.52691	−	5.22433i	−0.223025	−	0.257384i
$413$	1.53118	+	27.8531i	0.0753446	+	1.37056i
$414$	4.70009	−	6.45018i	0.230997	−	0.317009i
$415$	−1.94240	−	3.36434i	−0.0953487	−	0.165149i
$416$	−1.84330	−	9.56396i	−0.0903753	−	0.468912i
$417$	−15.6464	+	8.06630i	−0.766209	+	0.395008i
$418$	−4.65027	−	11.6158i	−0.227452	−	0.568148i
$419$	−12.5185	+	27.4116i	−0.611568	+	1.33915i	0.309929	+	0.950760i	$0.399695\pi$
$419$	−12.5185	+	27.4116i	−0.611568	+	1.33915i	−0.921496	+	0.388387i	$0.873032\pi$
$420$	−3.85742	+	0.772778i	−0.188223	+	0.0377077i
$421$	1.35106	−	4.60128i	0.0658465	−	0.224252i	−0.919996	−	0.391928i	$-0.871808\pi$
$421$	1.35106	−	4.60128i	0.0658465	−	0.224252i	0.985842	+	0.167676i	$0.0536262\pi$
$422$	−13.1898	−	6.79984i	−0.642072	−	0.331011i
$423$	0.555241	−	5.81475i	0.0269967	−	0.282723i
$424$	5.87521	+	1.42531i	0.285326	+	0.0692192i
$425$	−5.22482	−	1.00700i	−0.253441	−	0.0488467i
$426$	−8.89854	−	7.71063i	−0.431136	−	0.373581i
$427$	−2.01047	+	10.8583i	−0.0972933	+	0.525471i
$428$	−11.4679	+	5.23720i	−0.554320	+	0.253150i
$429$	−4.30299	+	8.34664i	−0.207750	+	0.402980i
$430$	4.12804	+	4.32937i	0.199072	+	0.208781i
$431$	−6.28169	+	15.6909i	−0.302578	+	0.755804i	0.696683	+	0.717379i	$0.254658\pi$
$431$	−6.28169	+	15.6909i	−0.302578	+	0.755804i	−0.999261	+	0.0384252i	$0.987766\pi$
$432$	−0.470224	−	4.92441i	−0.0226237	−	0.236926i
$433$	1.24791	−	8.67939i	0.0599706	−	0.417105i	−0.937616	−	0.347672i	$-0.886972\pi$
$433$	1.24791	−	8.67939i	0.0599706	−	0.417105i	0.997587	−	0.0694323i	$-0.0221188\pi$
$434$	−31.7224	+	0.232162i	−1.52272	+	0.0111441i
$435$	15.3916	−	13.3369i	0.737972	−	0.639456i
$436$	−5.17018	+	2.98501i	−0.247607	+	0.142956i
$437$	−5.84618	−	6.89754i	−0.279661	−	0.329954i
$438$	−6.67898	+	11.5683i	−0.319134	+	0.552756i
$439$	−28.0008	−	9.69119i	−1.33641	−	0.462535i	−0.436927	−	0.899497i	$-0.643933\pi$
$439$	−28.0008	−	9.69119i	−1.33641	−	0.462535i	−0.899480	+	0.436962i	$0.856055\pi$
$440$	−8.53351	+	13.2784i	−0.406819	+	0.633023i
$441$	0.230700	−	6.99620i	0.0109857	−	0.333152i
$442$	14.9952	+	6.84808i	0.713249	+	0.325730i
$443$	1.35837	−	1.06823i	0.0645380	−	0.0507533i	−0.585369	−	0.810767i	$-0.699050\pi$
$443$	1.35837	−	1.06823i	0.0645380	−	0.0507533i	0.649907	+	0.760014i	$0.274808\pi$
$444$	5.95879	−	5.68170i	0.282792	−	0.269641i
$445$	−1.51782	−	31.8630i	−0.0719516	−	1.51045i
$446$	−13.8593	−	9.86919i	−0.656259	−	0.467320i
$447$	14.7396	−	4.32793i	0.697158	−	0.204704i
$448$	7.89117	+	1.07570i	0.372823	+	0.0508218i
$449$	2.36957	−	2.73463i	0.111827	−	0.129055i	−0.697076	−	0.716997i	$-0.745516\pi$
$449$	2.36957	−	2.73463i	0.111827	−	0.129055i	0.808903	+	0.587942i	$0.200062\pi$
$450$	1.52338	+	1.45254i	0.0718126	+	0.0684732i
$451$	12.7090	+	1.21357i	0.598445	+	0.0571446i
$452$	−0.290066	+	0.0138175i	−0.0136435	+	0.000649922i
$453$	−20.1973	+	4.89980i	−0.948951	+	0.230213i
$454$	3.98179	+	27.6939i	0.186875	+	1.29974i
$455$	9.40977	−	7.51202i	0.441137	−	0.352169i
$456$	−3.82176	−	0.549486i	−0.178970	−	0.0257320i
$457$	37.9376	+	1.80719i	1.77464	+	0.0845367i	0.909172	−	0.416420i	$-0.136715\pi$
$457$	37.9376	+	1.80719i	1.77464	+	0.0845367i	0.865472	+	0.500957i	$0.167019\pi$
$458$	18.5936	−	3.58362i	0.868822	−	0.167452i
$459$	3.64321	+	2.10341i	0.170051	+	0.0981788i
$460$	1.75676	−	6.91133i	0.0819092	−	0.322242i
$461$		−	15.9728i		−	0.743929i	−0.928247	−	0.371964i	$-0.878684\pi$
$461$		−	15.9728i		−	0.743929i	0.928247	−	0.371964i	$-0.121316\pi$
$462$	12.2095	+	12.6187i	0.568035	+	0.587075i
$463$	−19.9457	−	12.8183i	−0.926957	−	0.595719i	−0.0122889	−	0.999924i	$-0.503912\pi$
$463$	−19.9457	−	12.8183i	−0.926957	−	0.595719i	−0.914668	+	0.404205i	$0.867548\pi$
$464$	48.3947	−	19.3743i	2.24667	−	0.899430i
$465$	−8.07724	−	11.3429i	−0.374573	−	0.526014i
$466$	−14.8487	−	5.94451i	−0.687851	−	0.275374i
$467$	0.959871	+	3.95664i	0.0444175	+	0.183092i	0.989699	−	0.143165i	$-0.0457279\pi$
$467$	0.959871	+	3.95664i	0.0444175	+	0.183092i	−0.945281	+	0.326256i	$0.894213\pi$
$468$	−0.979466	−	1.52408i	−0.0452758	−	0.0704505i
$469$	17.7130	−	9.29640i	0.817910	−	0.429268i
$470$	−5.29278	−	18.0256i	−0.244138	−	0.831457i
$471$	−1.03275	+	5.35840i	−0.0475865	+	0.246902i
$472$	−20.4046	+	7.06210i	−0.939198	+	0.325060i
$473$	1.74870	−	7.20826i	0.0804055	−	0.331436i
$474$	2.39488	−	3.36314i	0.110000	−	0.154474i
$475$	2.00611	−	1.28925i	0.0920465	−	0.0591547i
$476$	5.86384	−	6.24064i	0.268769	−	0.286039i
$477$	2.92201	−	0.420122i	0.133790	−	0.0192361i
$478$	−12.4732	+	1.19105i	−0.570511	+	0.0544772i
$479$	31.0831	+	24.4440i	1.42022	+	1.11688i	0.975192	+	0.221360i	$0.0710494\pi$
$479$	31.0831	+	24.4440i	1.42022	+	1.11688i	0.445030	+	0.895516i	$0.353193\pi$
$480$	−3.66311	−	7.10545i	−0.167197	−	0.324318i
$481$	−8.24177	+	23.8130i	−0.375793	+	1.08578i
$482$	−1.45897			−0.0664541
$483$	11.2571	+	5.85476i	0.512215	+	0.266401i
$484$	−3.77274			−0.171488
$485$	−6.08912	+	17.5934i	−0.276493	+	0.798873i
$486$	−0.762555	−	1.47915i	−0.0345902	−	0.0670956i
$487$	−14.5101	−	11.4108i	−0.657513	−	0.517074i	0.232741	−	0.972539i	$-0.425231\pi$
$487$	−14.5101	−	11.4108i	−0.657513	−	0.517074i	−0.890254	+	0.455465i	$0.849473\pi$
$488$	−8.50900	+	0.812511i	−0.385184	+	0.0367807i
$489$	−18.9985	+	2.73157i	−0.859142	+	0.123526i
$490$	−7.67405	−	21.1652i	−0.346678	−	0.956148i
$491$	22.0412	−	14.1650i	0.994707	−	0.639259i	0.0613150	−	0.998118i	$-0.480471\pi$
$491$	22.0412	−	14.1650i	0.994707	−	0.639259i	0.933392	+	0.358859i	$0.116834\pi$
$492$	−1.42871	+	2.00634i	−0.0644113	+	0.0904530i
$493$	−10.4514	+	43.0812i	−0.470707	+	1.94028i
$494$	−6.98160	+	2.41636i	−0.314117	+	0.108717i
$495$	−1.45862	+	7.56803i	−0.0655600	+	0.340157i
$496$	−10.0415	−	34.1983i	−0.450879	−	1.53555i
$497$	10.0051	−	15.8217i	0.448791	−	0.709699i
$498$	−1.80848	−	2.81405i	−0.0810401	−	0.126101i
$499$	7.60059	+	31.3300i	0.340249	+	1.40253i	0.842916	+	0.538045i	$0.180837\pi$
$499$	7.60059	+	31.3300i	0.340249	+	1.40253i	−0.502667	+	0.864480i	$0.667648\pi$
$500$	8.64815	+	3.46220i	0.386757	+	0.154834i
$501$	−5.28240	−	7.41810i	−0.236000	−	0.331416i
$502$	−29.1613	+	11.6744i	−1.30153	+	0.521056i
$503$	−4.38530	−	2.81826i	−0.195531	−	0.125660i	0.439212	−	0.898383i	$-0.355258\pi$
$503$	−4.38530	−	2.81826i	−0.195531	−	0.125660i	−0.634743	+	0.772723i	$0.718894\pi$
$504$	5.25611	−	1.31592i	0.234126	−	0.0586158i
$505$		−	27.4399i		−	1.22106i
$506$	−30.1889	+	10.0809i	−1.34206	+	0.448150i
$507$	−6.45641	−	3.72761i	−0.286739	−	0.165549i
$508$	7.53090	−	1.45146i	0.334130	−	0.0643982i
$509$	−24.2732	−	1.15628i	−1.07589	−	0.0512510i	−0.497854	−	0.867261i	$-0.665878\pi$
$509$	−24.2732	−	1.15628i	−1.07589	−	0.0512510i	−0.578038	+	0.816010i	$0.696181\pi$
$510$	13.3923	+	1.92553i	0.593022	+	0.0852637i
$511$	−19.7732	−	7.74858i	−0.874715	−	0.342777i
$512$	−0.0284865	−	0.198128i	−0.00125894	−	0.00875610i
$513$	−1.83220	+	0.444486i	−0.0808935	+	0.0196245i
$514$	−50.5408	+	2.40755i	−2.22926	+	0.106193i
$515$	17.2861	+	1.65062i	0.761718	+	0.0727352i
$516$	1.03566	+	0.987500i	0.0455924	+	0.0434723i
$517$	−15.2545	+	17.6047i	−0.670894	+	0.774253i
$518$	37.2489	+	28.8542i	1.63662	+	1.26778i
$519$	−11.2124	+	3.29226i	−0.492169	+	0.144514i
$520$	7.59179	+	5.40609i	0.332922	+	0.237073i
$521$	−0.817209	−	17.1553i	−0.0358026	−	0.751588i	−0.943382	−	0.331708i	$-0.892375\pi$
$521$	−0.817209	−	17.1553i	−0.0358026	−	0.751588i	0.907580	−	0.419880i	$-0.137928\pi$
$522$	12.6918	−	12.1016i	0.555504	−	0.529672i
$523$	23.9344	−	18.8222i	1.04658	−	0.823037i	0.0620151	−	0.998075i	$-0.480247\pi$
$523$	23.9344	−	18.8222i	1.04658	−	0.823037i	0.984562	+	0.175038i	$0.0560049\pi$
$524$	2.17348	+	0.992595i	0.0949489	+	0.0433617i
$525$	−1.92114	+	2.74008i	−0.0838453	+	0.119587i
$526$	0.128546	−	0.200021i	0.00560486	−	0.00872134i
$527$	28.6434	+	9.91357i	1.24772	+	0.431842i
$528$	−9.86379	+	17.0846i	−0.429266	+	0.743511i
$529$	−18.3852	+	13.8197i	−0.799358	+	0.600855i
$530$	8.22244	−	4.74723i	0.357160	−	0.206207i
$531$	−7.96815	+	6.90444i	−0.345788	+	0.299627i
$532$	0.0280861	+	3.83765i	0.00121768	+	0.166383i
$533$	1.07282	−	7.46164i	0.0464691	−	0.323200i
$534$	−2.61093	−	27.3429i	−0.112986	−	1.18324i
$535$	11.7701	−	29.4004i	0.508867	−	1.27109i
$536$	10.6854	+	11.2065i	0.461539	+	0.484048i
$537$	−8.10472	+	15.7210i	−0.349745	+	0.678410i
$538$	40.0775	−	18.3028i	1.72786	−	0.789088i
$539$	−16.9332	+	22.1933i	−0.729366	+	0.955934i
$540$	−1.12375	−	0.973737i	−0.0483586	−	0.0419030i
$541$	−2.13965	−	0.412385i	−0.0919909	−	0.0177298i	0.143048	−	0.989716i	$-0.454310\pi$
$541$	−2.13965	−	0.412385i	−0.0919909	−	0.0177298i	−0.235039	+	0.971986i	$0.575522\pi$
$542$	−2.14788	−	0.521070i	−0.0922594	−	0.0223819i
$543$	−1.65020	+	17.2816i	−0.0708167	+	0.741626i
$544$	15.4665	+	7.97352i	0.663119	+	0.341862i
$545$	4.22501	−	14.3891i	0.180980	−	0.616360i
$546$	7.78548	−	6.84655i	0.333188	−	0.293005i
$547$	−9.27888	+	20.3179i	−0.396736	+	0.868732i	0.600854	+	0.799359i	$0.294827\pi$
$547$	−9.27888	+	20.3179i	−0.396736	+	0.868732i	−0.997591	+	0.0693731i	$0.977900\pi$
$548$	1.84258	+	4.60255i	0.0787113	+	0.196611i
$549$	−3.70983	+	1.91255i	−0.158332	+	0.0816258i
$550$	−1.58860	−	8.24245i	−0.0677382	−	0.351459i
$551$	−9.93373	−	17.2057i	−0.423191	−	0.732988i
$552$	−1.96389	+	9.62321i	−0.0835886	+	0.409591i
$553$	5.85621	+	2.96504i	0.249031	+	0.126086i
$554$	−31.4941	−	36.3461i	−1.33805	−	1.54420i
$555$	−0.984095	+	20.6587i	−0.0417725	+	0.876913i
$556$	−8.37207	+	10.6459i	−0.355055	+	0.451489i
$557$	−15.2460	+	10.8566i	−0.645993	+	0.460010i	−0.855504	−	0.517797i	$-0.826752\pi$
$557$	−15.2460	+	10.8566i	−0.645993	+	0.460010i	0.209510	+	0.977806i	$0.432813\pi$
$558$	−7.41189	−	9.42499i	−0.313770	−	0.398991i
$559$	−4.20227	−	1.23390i	−0.177737	−	0.0521883i
$560$	20.4965	−	14.8227i	0.866135	−	0.626375i
$561$	−6.96922	−	15.2605i	−0.294241	−	0.644298i
$562$	−8.90110	+	9.33521i	−0.375470	+	0.393782i
$563$	−6.30684	−	18.2224i	−0.265802	−	0.767984i	−0.996369	−	0.0851427i	$-0.972865\pi$
$563$	−6.30684	−	18.2224i	−0.265802	−	0.767984i	0.730567	−	0.682841i	$-0.239256\pi$
$564$	−1.46987	−	4.24690i	−0.0618926	−	0.178827i
$565$	0.503388	−	0.527938i	0.0211777	−	0.0222105i
$566$	−1.66710	−	3.65045i	−0.0700736	−	0.153440i
$567$	2.14388	−	1.55042i	0.0900343	−	0.0651114i
$568$	13.9030	+	4.08229i	0.583357	+	0.171289i
$569$	−21.0648	−	26.7861i	−0.883082	−	1.12293i	−0.991665	−	0.128843i	$-0.958874\pi$
$569$	−21.0648	−	26.7861i	−0.883082	−	1.12293i	0.108583	−	0.994087i	$-0.465369\pi$
$570$	−4.93932	+	3.51727i	−0.206885	+	0.147322i
$571$	15.0484	−	19.1356i	0.629756	−	0.800799i	−0.361554	−	0.932351i	$-0.617754\pi$
$571$	15.0484	−	19.1356i	0.629756	−	0.800799i	0.991309	+	0.131552i	$0.0419960\pi$
$572$	−0.343772	+	7.21666i	−0.0143738	+	0.301744i
$573$	−4.41903	−	5.09984i	−0.184608	−	0.213049i
$574$	−12.5754	−	6.36700i	−0.524886	−	0.265753i
$575$	−2.97547	−	5.28608i	−0.124086	−	0.220445i
$576$	1.50508	+	2.60688i	0.0627118	+	0.108620i
$577$	−6.51298	−	33.7926i	−0.271139	−	1.40680i	−0.820705	−	0.571353i	$-0.806419\pi$
$577$	−6.51298	−	33.7926i	−0.271139	−	1.40680i	0.549566	−	0.835451i	$-0.314793\pi$
$578$	−1.03147	+	0.531760i	−0.0429035	+	0.0221183i
$579$	4.40428	+	11.0013i	0.183035	+	0.457200i
$580$	6.50919	−	14.2531i	0.270280	−	0.591830i
$581$	3.99362	−	3.51199i	0.165683	−	0.145702i
$582$	−4.51637	+	15.3814i	−0.187210	+	0.637578i
$583$	−10.4639	−	5.39453i	−0.433372	−	0.223419i
$584$	1.56259	−	16.3642i	0.0646604	−	0.677155i
$585$	4.42261	+	1.07291i	0.182852	+	0.0443595i
$586$	−32.5019	−	6.26423i	−1.34264	−	0.258773i
$587$	26.0169	+	22.5438i	1.07383	+	0.930481i	0.997778	−	0.0666231i	$-0.0212225\pi$
$587$	26.0169	+	22.5438i	1.07383	+	0.930481i	0.0760537	+	0.997104i	$0.475768\pi$
$588$	−2.07460	−	4.97001i	−0.0855551	−	0.204960i
$589$	−12.3565	+	5.64300i	−0.509139	+	0.232516i
$590$	−15.5384	+	30.1402i	−0.639704	+	1.24085i
$591$	12.4493	+	13.0565i	0.512096	+	0.537071i
$592$	−19.6750	+	49.1458i	−0.808638	+	2.01988i
$593$	0.490349	+	5.13517i	0.0201362	+	0.210876i	0.999940	+	0.0109167i	$0.00347496\pi$
$593$	0.490349	+	5.13517i	0.0201362	+	0.210876i	−0.979804	+	0.199959i	$0.935919\pi$
$594$	−0.944473	+	6.56895i	−0.0387522	+	0.269527i
$595$	0.157424	+	21.5103i	0.00645375	+	0.881835i
$596$	8.93222	−	7.73981i	0.365878	−	0.317035i
$597$	15.7351	−	9.08466i	0.643994	−	0.371810i
$598$	5.09749	+	18.0885i	0.208452	+	0.739693i
$599$	−4.16898	+	7.22088i	−0.170340	+	0.295037i	−0.938539	−	0.345174i	$-0.887820\pi$
$599$	−4.16898	+	7.22088i	−0.170340	+	0.295037i	0.768199	+	0.640211i	$0.221153\pi$
$600$	−2.44786	−	0.847211i	−0.0999333	−	0.0345872i
$601$	10.3158	−	16.0518i	0.420792	−	0.654765i	−0.564542	−	0.825405i	$-0.690947\pi$
$601$	10.3158	−	16.0518i	0.420792	−	0.654765i	0.985333	+	0.170640i	$0.0545835\pi$
$602$	−4.70124	+	6.70529i	−0.191608	+	0.273287i
$603$	6.87766	+	3.14092i	0.280080	+	0.127908i
$604$	−12.5690	+	9.88438i	−0.511426	+	0.402190i
$605$	6.85886	−	6.53991i	0.278852	−	0.265885i
$606$	−1.12425	−	23.6008i	−0.0456694	−	0.958719i
$607$	23.2636	+	16.5659i	0.944238	+	0.672389i	0.944813	−	0.327611i	$-0.106243\pi$
$607$	23.2636	+	16.5659i	0.944238	+	0.672389i	−0.000574347		1.00000i	$0.500183\pi$
$608$	−7.48252	+	2.19707i	−0.303456	+	0.0891028i
$609$	22.0411	+	17.0738i	0.893152	+	0.691864i
$610$	−8.79078	+	10.1451i	−0.355928	+	0.410763i
$611$	9.95457	+	9.49167i	0.402719	+	0.383992i
$612$	3.22197	+	0.307661i	0.130240	+	0.0124365i
$613$	−4.85369	+	0.231210i	−0.196039	+	0.00933847i	−0.145372	−	0.989377i	$-0.546438\pi$
$613$	−4.85369	+	0.231210i	−0.196039	+	0.00933847i	−0.0506671	+	0.998716i	$0.516135\pi$
$614$	−1.84385	+	0.447313i	−0.0744116	+	0.0180521i
$615$	−0.880522	−	6.12416i	−0.0355061	−	0.246950i
$616$	−20.1184	−	7.88385i	−0.810592	−	0.317649i
$617$	−0.625671	−	0.0899579i	−0.0251886	−	0.00362157i	0.129709	−	0.991552i	$-0.458596\pi$
$617$	−0.625671	−	0.0899579i	−0.0251886	−	0.00362157i	−0.154898	+	0.987931i	$0.549505\pi$
$618$	14.9353	+	0.711454i	0.600785	+	0.0286189i
$619$	−10.7827	+	2.07819i	−0.433393	+	0.0835296i	−0.401282	−	0.915955i	$-0.631435\pi$
$619$	−10.7827	+	2.07819i	−0.433393	+	0.0835296i	−0.0321110	+	0.999484i	$0.510223\pi$
$620$	−9.27815	−	5.35674i	−0.372619	−	0.215132i
$621$	0.856167	+	4.71879i	0.0343568	+	0.189359i
$622$		−	3.81118i		−	0.152814i
$623$	42.3615	−	10.6057i	1.69718	−	0.424907i
$624$	9.79928	+	6.29762i	0.392285	+	0.252106i
$625$	−15.8528	+	6.34649i	−0.634110	+	0.253860i
$626$	7.01421	+	9.85008i	0.280344	+	0.393688i
$627$	6.98005	+	2.79439i	0.278756	+	0.111597i
$628$	0.989832	+	4.08014i	0.0394986	+	0.162816i
$629$	−24.3390	−	37.8723i	−0.970461	−	1.51007i
$630$	4.54797	−	7.19196i	0.181195	−	0.286535i
$631$	8.28512	+	28.2165i	0.329826	+	1.12328i	0.942850	+	0.333219i	$0.108135\pi$
$631$	8.28512	+	28.2165i	0.329826	+	1.12328i	−0.613024	+	0.790064i	$0.710047\pi$
$632$	−0.961562	+	4.98906i	−0.0382489	+	0.198454i
$633$	8.42674	−	2.91652i	0.334933	−	0.115921i
$634$	−3.70822	+	15.2855i	−0.147272	+	0.607064i
$635$	−11.1752	+	15.6933i	−0.443472	+	0.622770i
$636$	1.91069	−	1.22793i	0.0757638	−	0.0486904i
$637$	12.6138	+	10.6107i	0.499776	+	0.420410i
$638$	−69.2227	+	9.95272i	−2.74055	+	0.394032i
$639$	7.04335	−	0.672558i	0.278631	−	0.0266060i
$640$	20.1776	+	15.8679i	0.797591	+	0.627233i
$641$	−17.4003	−	33.7519i	−0.687272	−	1.33312i	−0.931620	−	0.363434i	$-0.881604\pi$
$641$	−17.4003	−	33.7519i	−0.687272	−	1.33312i	0.244348	−	0.969688i	$-0.421426\pi$
$642$	8.91882	−	25.7692i	0.351998	−	1.01703i
$643$	24.0041			0.946629			0.473315	−	0.880893i	$-0.343057\pi$
$643$	24.0041			0.946629			0.473315	+	0.880893i	$0.343057\pi$
$644$	9.74949	+	0.499569i	0.384184	+	0.0196858i
$645$	−3.59463			−0.141538
$646$	4.31691	−	12.4729i	0.169847	−	0.490739i
$647$	−6.06778	−	11.7699i	−0.238549	−	0.462721i	0.738922	−	0.673791i	$-0.235335\pi$
$647$	−6.06778	−	11.7699i	−0.238549	−	0.462721i	−0.977471	+	0.211071i	$0.932305\pi$
$648$	1.60979	+	1.26595i	0.0632384	+	0.0497312i
$649$	41.8559	−	3.99675i	1.64299	−	0.156886i
$650$	−4.90599	+	0.705375i	−0.192429	+	0.0276671i
$651$	13.0535	−	13.8923i	0.511608	−	0.544482i
$652$	−12.4230	+	7.98380i	−0.486524	+	0.312670i
$653$	−9.94691	+	13.9685i	−0.389253	+	0.546629i	−0.961981	−	0.273116i	$-0.911946\pi$
$653$	−9.94691	+	13.9685i	−0.389253	+	0.546629i	0.572728	+	0.819745i	$0.305885\pi$
$654$	3.04436	−	12.5490i	0.119044	−	0.490705i
$655$	−5.67202	+	1.96311i	−0.221624	+	0.0767049i
$656$	2.99709	−	15.5504i	0.117017	−	0.607140i
$657$	−2.26144	−	7.70177i	−0.0882274	−	0.300475i
$658$	22.7724	−	11.9518i	0.887762	−	0.465928i
$659$	14.5336	+	22.6147i	0.566148	+	0.880943i	0.999797	−	0.0201387i	$-0.00641078\pi$
$659$	14.5336	+	22.6147i	0.566148	+	0.880943i	−0.433650	+	0.901082i	$0.642774\pi$
$660$	1.39801	+	5.76266i	0.0544173	+	0.224311i
$661$	5.45873	+	2.18534i	0.212320	+	0.0850001i	0.475384	−	0.879778i	$-0.342309\pi$
$661$	5.45873	+	2.18534i	0.212320	+	0.0850001i	−0.263065	+	0.964778i	$0.584733\pi$
$662$	13.8374	+	19.4319i	0.537806	+	0.755242i
$663$	−9.19636	+	3.68167i	−0.357157	+	0.142984i
$664$	3.46304	+	2.22556i	0.134392	+	0.0863686i
$665$	−6.70350	−	6.92819i	−0.259950	−	0.268664i
$666$			17.8087i			0.690072i
$667$	−45.1698	+	22.6661i	−1.74898	+	0.877635i
$668$	−6.06778	−	3.50324i	−0.234770	−	0.135544i
$669$	10.0392	−	1.93490i	0.388139	−	0.0748076i
$670$	24.2900	+	1.15708i	0.938406	+	0.0447018i
$671$	16.4755	+	2.36882i	0.636029	+	0.0914472i
$672$	8.55260	−	6.82773i	0.329924	−	0.263385i
$673$	1.15661	+	8.04440i	0.0445841	+	0.310089i	0.999895	+	0.0144864i	$0.00461132\pi$
$673$	1.15661	+	8.04440i	0.0445841	+	0.310089i	−0.955311	+	0.295603i	$0.904480\pi$
$674$	35.2277	−	8.54616i	1.35692	−	0.329186i
$675$	−1.26341	+	0.0601837i	−0.0486287	+	0.00231647i
$676$	−5.70990	−	0.545229i	−0.219611	−	0.0209703i
$677$	−7.56987	−	7.21786i	−0.290934	−	0.277405i	0.530529	−	0.847667i	$-0.321993\pi$
$677$	−7.56987	−	7.21786i	−0.290934	−	0.277405i	−0.821463	+	0.570262i	$0.806842\pi$
$678$	0.411329	−	0.474699i	0.0157970	−	0.0182307i
$679$	−25.2530	−	3.44240i	−0.969121	−	0.132107i
$680$	−15.9759	+	4.69096i	−0.612650	+	0.179890i
$681$	−13.6952	−	9.75231i	−0.524802	−	0.373709i
$682$	2.27520	+	47.7623i	0.0871218	+	1.82891i
$683$	−3.02622	+	2.88550i	−0.115795	+	0.110410i	−0.745765	−	0.666209i	$-0.767916\pi$
$683$	−3.02622	+	2.88550i	−0.115795	+	0.110410i	0.629970	+	0.776620i	$0.283067\pi$
$684$	−1.14020	+	0.896662i	−0.0435966	+	0.0342847i
$685$	−11.3282	−	5.17341i	−0.432828	−	0.197666i
$686$	26.3465	−	15.9924i	1.00591	−	0.610594i
$687$	−6.15179	+	9.57237i	−0.234705	+	0.365209i
$688$	−8.69476	−	3.00929i	−0.331485	−	0.114728i
$689$	−3.47566	+	6.02002i	−0.132412	+	0.229344i
$690$	8.19696	+	13.0661i	0.312053	+	0.497418i
$691$	1.86111	−	1.07451i	0.0707998	−	0.0408763i	−0.464182	−	0.885740i	$-0.653652\pi$
$691$	1.86111	−	1.07451i	0.0707998	−	0.0408763i	0.534982	+	0.844863i	$0.320318\pi$
$692$	−6.79474	+	5.88768i	−0.258297	+	0.223816i
$693$	−10.5508	+	0.0772166i	−0.400792	+	0.00293321i
$694$	3.31731	−	23.0724i	0.125923	−	0.875816i
$695$	−3.23391	−	33.8671i	−0.122669	−	1.28465i
$696$	−8.02079	+	20.0350i	−0.304027	+	0.759424i
$697$	9.29369	+	9.74694i	0.352024	+	0.369192i
$698$	−18.0441	+	35.0007i	−0.682979	+	1.32479i
$699$	8.74263	−	3.99262i	0.330676	−	0.151015i
$700$	−0.468748	+	2.53166i	−0.0177170	+	0.0956877i
$701$	26.5977	+	23.0471i	1.00458	+	0.870475i	0.991587	−	0.129440i	$-0.0413180\pi$
$701$	26.5977	+	23.0471i	1.00458	+	0.870475i	0.0129949	+	0.999916i	$0.495863\pi$
$702$	3.84780	+	0.741603i	0.145226	+	0.0279900i
$703$	19.6071	+	4.75663i	0.739495	+	0.179400i
$704$	1.14109	−	11.9500i	0.0430063	−	0.450382i
$705$	10.0341	+	5.17293i	0.377905	+	0.194824i
$706$	5.82601	−	19.8416i	0.219265	−	0.746747i
$707$	36.8327	−	7.37888i	1.38523	−	0.277511i
$708$	−3.36977	+	7.37876i	−0.126644	+	0.277311i
$709$	5.16678	+	12.9060i	0.194042	+	0.484694i	0.993199	−	0.116428i	$-0.0371446\pi$
$709$	5.16678	+	12.9060i	0.194042	+	0.484694i	−0.799157	+	0.601123i	$0.794720\pi$
$710$	20.2263	−	10.4274i	0.759080	−	0.391333i
$711$	0.469527	+	2.43614i	0.0176086	+	0.0913624i
$712$	16.9009	+	29.2733i	0.633389	+	1.09706i
$713$	12.4916	+	32.2173i	0.467816	+	1.20655i
$714$	1.01670	+	18.4943i	0.0380490	+	0.692133i
$715$	−11.8848	−	13.7158i	−0.444468	−	0.512943i
$716$	−0.647498	+	13.5927i	−0.0241981	+	0.507981i
$717$	4.65434	−	5.91847i	0.173819	−	0.221029i
$718$	27.7995	−	19.7959i	1.03747	−	0.738777i
$719$	11.4546	+	14.5656i	0.427183	+	0.543207i	0.951230	−	0.308482i	$-0.0998210\pi$
$719$	11.4546	+	14.5656i	0.427183	+	0.543207i	−0.524047	+	0.851689i	$0.675579\pi$
$720$	9.17322	+	2.69350i	0.341866	+	0.100381i
$721$	2.43278	+	23.6471i	0.0906015	+	0.880662i
$722$	−10.6776	−	23.3807i	−0.397380	−	0.870141i
$723$	0.604997	−	0.634502i	0.0225001	−	0.0235974i
$724$	4.36850	+	12.6220i	0.162354	+	0.469091i
$725$	−4.35941	−	12.5957i	−0.161904	−	0.467792i
$726$	5.63130	−	5.90594i	0.208997	−	0.219190i
$727$	−13.8323	−	30.2885i	−0.513012	−	1.12334i	−0.972018	−	0.234906i	$-0.924522\pi$
$727$	−13.8323	−	30.2885i	−0.513012	−	1.12334i	0.459006	−	0.888433i	$-0.348206\pi$
$728$	−5.21509	+	11.6442i	−0.193284	+	0.431564i
$729$	0.959493	+	0.281733i	0.0355368	+	0.0104345i
$730$	−15.9586	−	20.2930i	−0.590654	−	0.751077i
$731$	6.37361	−	4.53863i	0.235737	−	0.167867i
$732$	−1.98505	+	2.52420i	−0.0733696	+	0.0932970i
$733$	−0.860997	+	18.0745i	−0.0318016	+	0.667598i	0.925542	+	0.378646i	$0.123610\pi$
$733$	−0.860997	+	18.0745i	−0.0318016	+	0.667598i	−0.957343	+	0.288953i	$0.906693\pi$
$734$	−3.13038	−	3.61266i	−0.115545	−	0.133346i
$735$	12.3870	+	5.43926i	0.456900	+	0.200630i
$736$	4.46611	+	19.3279i	0.164623	+	0.712435i
$737$	−15.0763	−	26.1128i	−0.555341	−	0.961879i
$738$	−1.00824	−	5.23126i	−0.0371139	−	0.192565i
$739$	−12.4191	+	6.40251i	−0.456845	+	0.235520i	−0.671259	−	0.741223i	$-0.734246\pi$
$739$	−12.4191	+	6.40251i	−0.456845	+	0.235520i	0.214414	+	0.976743i	$0.431216\pi$
$740$	5.91401	+	14.7725i	0.217403	+	0.543047i
$741$	1.84423	−	4.03829i	0.0677494	−	0.148350i
$742$	8.58331	+	9.76042i	0.315103	+	0.358316i
$743$	6.24134	−	21.2560i	0.228972	−	0.779808i	−0.762213	−	0.647326i	$-0.775887\pi$
$743$	6.24134	−	21.2560i	0.228972	−	0.779808i	0.991185	−	0.132482i	$-0.0422947\pi$
$744$	13.1152	+	6.76137i	0.480827	+	0.247884i
$745$	−2.82213	+	29.5547i	−0.103395	+	1.08280i
$746$	24.4432	+	5.92985i	0.894929	+	0.217107i
$747$	1.97376	+	0.380411i	0.0722161	+	0.0139185i
$748$	−9.75481	−	8.45259i	−0.356671	−	0.309057i
$749$	42.6293	+	7.89300i	1.55764	+	0.288404i
$750$	−18.3283	+	8.37024i	−0.669254	+	0.305638i
$751$	−21.5634	+	41.8272i	−0.786860	+	1.52630i	0.0622386	+	0.998061i	$0.480176\pi$
$751$	−21.5634	+	41.8272i	−0.786860	+	1.52630i	−0.849099	+	0.528234i	$0.822854\pi$
$752$	19.9400	+	20.9125i	0.727138	+	0.762601i
$753$	7.01528	−	17.5233i	0.255651	−	0.638585i
$754$	3.92523	+	41.1068i	0.142948	+	1.49702i
$755$	5.71630	−	39.7578i	0.208038	−	1.44693i
$756$	1.00486	−	1.77026i	0.0365464	−	0.0643838i
$757$	−34.9687	+	30.3006i	−1.27096	+	1.10129i	−0.281036	+	0.959697i	$0.590678\pi$
$757$	−34.9687	+	30.3006i	−1.27096	+	1.10129i	−0.989924	+	0.141597i	$0.954776\pi$
$758$	−14.3708	+	8.29699i	−0.521971	+	0.301360i
$759$	8.13441	−	17.3094i	0.295260	−	0.628291i
$760$	3.73105	−	6.46237i	0.135339	−	0.234415i
$761$	−31.9206	−	11.0478i	−1.15712	−	0.400484i	−0.319956	−	0.947432i	$-0.603668\pi$
$761$	−31.9206	−	11.0478i	−1.15712	−	0.400484i	−0.837166	+	0.546948i	$0.815789\pi$
$762$	−8.96868	+	13.9555i	−0.324901	+	0.505556i
$763$	20.4506	+	1.80187i	0.740362	+	0.0652321i
$764$	−4.72261	−	2.15675i	−0.170858	−	0.0780283i
$765$	−6.39087	+	5.02584i	−0.231063	+	0.181710i
$766$	−7.60271	+	7.24917i	−0.274697	+	0.261923i
$767$	−1.18131	−	24.7987i	−0.0426546	−	0.895430i
$768$	13.1007	+	9.32898i	0.472731	+	0.336630i
$769$	10.5505	−	3.09791i	0.380461	−	0.111713i	−0.0859094	−	0.996303i	$-0.527380\pi$
$769$	10.5505	−	3.09791i	0.380461	−	0.111713i	0.466370	+	0.884590i	$0.345561\pi$
$770$	−31.4106	+	12.8424i	−1.13196	+	0.462809i
$771$	19.9110	−	22.9785i	0.717075	−	0.827549i
$772$	6.59847	+	6.29163i	0.237484	+	0.226441i
$773$	30.2785	+	2.89125i	1.08904	+	0.103991i	0.624096	−	0.781348i	$-0.285467\pi$
$773$	30.2785	+	2.89125i	1.08904	+	0.103991i	0.464947	+	0.885339i	$0.346073\pi$
$774$	−3.09171	+	0.147276i	−0.111129	+	0.00529374i
$775$	−8.85640	+	2.14854i	−0.318131	+	0.0771778i
$776$	−2.80756	−	19.5270i	−0.100785	−	0.700978i
$777$	−27.9948	+	4.23439i	−1.00431	+	0.151908i
$778$	−23.5307	−	3.38320i	−0.843617	−	0.121294i
$779$	−6.02884	−	0.287189i	−0.216005	−	0.0102896i
$780$	3.43807	−	0.662634i	0.123103	−	0.0237261i
$781$	−24.4359	−	14.1081i	−0.874387	−	0.504827i
$782$	−31.0314	−	12.8178i	−1.10968	−	0.458364i
$783$			10.5379i			0.376592i
$784$	25.4083	+	23.5265i	0.907439	+	0.840231i
$785$	−8.87230	−	5.70188i	−0.316666	−	0.203509i
$786$	−4.79802	+	1.92084i	−0.171140	+	0.0685141i
$787$	−22.8641	−	32.1082i	−0.815018	−	1.14453i	−0.987203	−	0.159468i	$-0.949022\pi$
$787$	−22.8641	−	32.1082i	−0.815018	−	1.14453i	0.172185	−	0.985065i	$-0.444917\pi$
$788$	12.8856	+	5.15862i	0.459031	+	0.183768i
$789$	0.0336842	+	0.138848i	0.00119919	+	0.00494312i
$790$	4.31396	+	6.71265i	0.153484	+	0.238826i
$791$	0.844019	+	0.533730i	0.0300098	+	0.0189773i
$792$	−2.30092	−	7.83622i	−0.0817597	−	0.278448i
$793$	1.86000	−	9.65062i	0.0660507	−	0.342703i
$794$	−24.4811	+	8.47298i	−0.868800	+	0.300695i
$795$	−1.34508	+	5.54449i	−0.0477050	+	0.196643i
$796$	8.10863	−	11.3870i	0.287403	−	0.403601i
$797$	−12.7852	+	8.21654i	−0.452875	+	0.291045i	−0.747125	−	0.664683i	$-0.768566\pi$
$797$	−12.7852	+	8.21654i	−0.452875	+	0.291045i	0.294250	+	0.955728i	$0.404930\pi$
$798$	−6.04947	−	5.68422i	−0.214149	−	0.201219i
$799$	−24.3227	+	3.49708i	−0.860477	+	0.123718i
$800$	−5.20813	+	0.497316i	−0.184135	+	0.0175828i
$801$	12.9741	+	10.2029i	0.458416	+	0.360502i
$802$	−10.6782	−	20.7128i	−0.377059	−	0.731393i
$803$	−10.4697	+	30.2503i	−0.369469	+	1.06751i
$804$	5.81719			0.205157
$805$	−18.5906	+	15.9922i	−0.655233	+	0.563650i
$806$	28.2339			0.994497
$807$	−8.65928	+	25.0193i	−0.304821	+	0.880722i
$808$	13.3237	+	25.8444i	0.468727	+	0.909203i
$809$	−26.5259	−	20.8602i	−0.932601	−	0.733406i	0.0313432	−	0.999509i	$-0.490022\pi$
$809$	−26.5259	−	20.8602i	−0.932601	−	0.733406i	−0.963945	+	0.266103i	$0.914264\pi$
$810$	3.20165	−	0.305721i	0.112495	−	0.0107419i
$811$	−4.77282	+	0.686228i	−0.167596	+	0.0240967i	−0.225602	−	0.974220i	$-0.572435\pi$
$811$	−4.77282	+	0.686228i	−0.167596	+	0.0240967i	0.0580057	+	0.998316i	$0.481526\pi$
$812$	20.8824	+	4.90448i	0.732829	+	0.172113i
$813$	1.11729	−	0.718035i	0.0391849	−	0.0251826i
$814$	41.1956	−	57.8511i	1.44390	−	2.02768i
$815$	8.74551	−	36.0495i	0.306342	−	1.26276i
$816$	−19.6658	+	6.80640i	−0.688441	+	0.238272i
$817$	−0.663634	+	3.44326i	−0.0232176	+	0.120464i
$818$	10.9210	+	37.1936i	0.381845	+	1.30044i
$819$	−0.250887	+	6.22499i	−0.00876672	+	0.217519i
$820$	−2.57358	−	4.00456i	−0.0898732	−	0.139845i
$821$	4.06562	+	16.7587i	0.141891	+	0.584883i	0.997712	+	0.0676102i	$0.0215374\pi$
$821$	4.06562	+	16.7587i	0.141891	+	0.584883i	−0.855821	+	0.517272i	$0.826947\pi$
$822$	−9.95523	−	3.98547i	−0.347229	−	0.139009i
$823$	−6.03503	−	8.47502i	−0.210368	−	0.295421i	0.695888	−	0.718151i	$-0.255011\pi$
$823$	−6.03503	−	8.47502i	−0.210368	−	0.295421i	−0.906256	+	0.422730i	$0.861072\pi$
$824$	−17.0825	+	6.83879i	−0.595096	+	0.238241i
$825$	4.24338	+	2.72706i	0.147736	+	0.0949439i
$826$	−44.6356	−	12.7521i	−1.55307	−	0.443704i
$827$			22.2293i			0.772988i	0.922292	+	0.386494i	$0.126314\pi$
$827$			22.2293i			0.772988i	−0.922292	+	0.386494i	$0.873686\pi$
$828$	2.10736	+	3.02880i	0.0732358	+	0.105258i
$829$	45.8556	+	26.4747i	1.59263	+	0.919505i	0.992854	+	0.119337i	$0.0380769\pi$
$829$	45.8556	+	26.4747i	1.59263	+	0.919505i	0.599776	+	0.800168i	$0.295256\pi$
$830$	6.34804	−	1.22348i	0.220344	−	0.0424678i
$831$	28.8667	+	1.37509i	1.00137	+	0.0477013i
$832$	−7.01599	−	1.00875i	−0.243236	−	0.0349720i
$833$	−28.8309	+	5.99564i	−0.998932	+	0.207737i
$834$	−4.16903	−	28.9963i	−0.144362	−	1.00406i
$835$	17.1040	−	4.14938i	0.591908	−	0.143595i
$836$	5.77809	−	0.275245i	0.199840	−	0.00951953i
$837$	7.17244	+	0.684885i	0.247916	+	0.0236731i
$838$	−36.2944	−	34.6066i	−1.25377	−	1.19547i
$839$	10.1519	−	11.7159i	0.350481	−	0.404477i	−0.552947	−	0.833217i	$-0.686497\pi$
$839$	10.1519	−	11.7159i	0.350481	−	0.404477i	0.903428	+	0.428739i	$0.141042\pi$
$840$	−1.41439	+	10.3758i	−0.0488011	+	0.357999i
$841$	−78.7229	+	23.1151i	−2.71458	+	0.797073i
$842$	6.50068	+	4.62912i	0.224028	+	0.159530i
$843$	−0.368804	−	7.74215i	−0.0127023	−	0.266654i
$844$	4.96529	−	4.73440i	0.170912	−	0.162965i
$845$	11.3258	−	8.90667i	0.389618	−	0.306399i
$846$	8.84216	+	4.03808i	0.304000	+	0.138832i
$847$	10.6230	+	7.44801i	0.365009	+	0.255917i
$848$	−7.89513	+	12.2851i	−0.271120	+	0.421871i
$849$	2.27888	+	0.788729i	0.0782111	+	0.0270691i
$850$	4.42743	−	7.66854i	0.151860	−	0.263029i
$851$	14.9957	−	49.0825i	0.514046	−	1.68253i
$852$	4.71432	−	2.72181i	0.161510	−	0.0932478i
$853$	7.85386	−	6.80541i	0.268911	−	0.233013i	−0.509958	−	0.860199i	$-0.670339\pi$
$853$	7.85386	−	6.80541i	0.268911	−	0.233013i	0.778869	+	0.627187i	$0.215794\pi$
$854$	−15.9817	−	9.07175i	−0.546883	−	0.310429i
$855$	0.518555	−	3.60663i	0.0177342	−	0.123344i
$856$	3.18988	+	33.4060i	0.109028	+	1.14179i
$857$	0.762854	−	1.90552i	0.0260586	−	0.0650912i	−0.914768	−	0.403980i	$-0.867627\pi$
$857$	0.762854	−	1.90552i	0.0260586	−	0.0650912i	0.940827	+	0.338888i	$0.110051\pi$
$858$	−10.7840	−	11.3099i	−0.368160	−	0.386115i
$859$	13.7059	−	26.5857i	0.467639	−	0.907094i	−0.530591	−	0.847628i	$-0.678030\pi$
$859$	13.7059	−	26.5857i	0.467639	−	0.907094i	0.998230	−	0.0594659i	$-0.0189398\pi$
$860$	−2.51570	+	1.14888i	−0.0857846	+	0.0391765i
$861$	7.98369	−	2.82878i	0.272083	−	0.0964044i
$862$	−21.2567	−	18.4191i	−0.724007	−	0.627356i
$863$	−10.6715	−	2.05677i	−0.363263	−	0.0700132i	0.00435388	−	0.999991i	$-0.498614\pi$
$863$	−10.6715	−	2.05677i	−0.363263	−	0.0700132i	−0.367617	+	0.929977i	$0.619826\pi$
$864$	4.01974	+	0.975178i	0.136754	+	0.0331762i
$865$	2.14680	−	22.4823i	0.0729932	−	0.764420i
$866$	12.9701	+	6.68657i	0.440743	+	0.227219i
$867$	0.196463	−	0.669093i	0.00667225	−	0.0227236i
$868$	4.69537	−	13.8946i	0.159371	−	0.471612i
$869$	4.11010	−	8.99987i	0.139426	−	0.305300i
$870$	12.5964	+	31.4643i	0.427058	+	1.06674i
$871$	−15.8248	+	8.15825i	−0.536203	+	0.276432i
$872$	3.00740	+	15.6039i	0.101844	+	0.528415i
$873$	−4.81651	−	8.34243i	−0.163014	−	0.282349i
$874$	14.0292	−	5.43955i	0.474545	−	0.183995i
$875$	−17.5157	−	26.8214i	−0.592140	−	0.906729i
$876$	−4.04423	−	4.66729i	−0.136642	−	0.157693i
$877$	1.41339	−	29.6707i	0.0477267	−	1.00191i	−0.840302	−	0.542119i	$-0.817622\pi$
$877$	1.41339	−	29.6707i	0.0477267	−	1.00191i	0.888028	−	0.459789i	$-0.152075\pi$
$878$	30.4811	−	38.7598i	1.02869	−	1.30808i
$879$	16.2020	−	11.5374i	0.546481	−	0.389147i
$880$	−23.5683	−	29.9695i	−0.794487	−	1.01027i
$881$	30.6863	+	9.01031i	1.03385	+	0.303565i	0.754274	−	0.656559i	$-0.227989\pi$
$881$	30.6863	+	9.01031i	1.03385	+	0.303565i	0.279573	+	0.960124i	$0.409807\pi$
$882$	10.8768	+	4.17075i	0.366240	+	0.140436i
$883$	−9.44203	−	20.6752i	−0.317750	−	0.695775i	0.681604	−	0.731721i	$-0.261283\pi$
$883$	−9.44203	−	20.6752i	−0.317750	−	0.695775i	−0.999354	+	0.0359463i	$0.988555\pi$
$884$	−5.25936	+	5.51586i	−0.176892	+	0.185519i
$885$	−6.66456	−	19.2560i	−0.224027	−	0.647283i
$886$	0.940577	+	2.71762i	0.0315993	+	0.0913002i
$887$	−18.7058	+	19.6180i	−0.628078	+	0.658709i	−0.958490	−	0.285128i	$-0.907964\pi$
$887$	−18.7058	+	19.6180i	−0.628078	+	0.658709i	0.330412	+	0.943837i	$0.392812\pi$
$888$	−9.10415	−	19.9353i	−0.305515	−	0.668985i
$889$	−24.0703	−	10.7803i	−0.807291	−	0.361561i
$890$	50.9344	+	14.9557i	1.70732	+	0.501316i
$891$	−2.46518	−	3.13473i	−0.0825866	−	0.105017i
$892$	6.40752	−	4.56277i	0.214540	−	0.152773i
$893$	6.80757	−	8.65653i	0.227807	−	0.289680i
$894$	−1.21640	+	25.5353i	−0.0406825	+	0.854030i
$895$	−22.3852	−	25.8339i	−0.748255	−	0.863533i
$896$	−15.8735	+	31.3515i	−0.530296	+	1.04738i
$897$	−9.98046	−	5.28395i	−0.333238	−	0.176426i
$898$	3.01080	+	5.21486i	0.100472	+	0.174022i
$899$	14.3691	+	74.5538i	0.479235	+	2.48651i
$900$	−0.864962	+	0.445919i	−0.0288321	+	0.0148640i
$901$	−4.61560	−	11.5292i	−0.153768	−	0.384093i
$902$	−8.82586	+	19.3259i	−0.293869	+	0.643483i
$903$	−0.966633	−	4.82508i	−0.0321675	−	0.160569i
$904$	−0.217773	+	0.741666i	−0.00724301	+	0.0246674i
$905$	−29.8217	−	15.3741i	−0.991306	−	0.511054i
$906$	3.28762	−	34.4295i	0.109224	−	1.14384i
$907$	−33.6882	−	8.17268i	−1.11860	−	0.271369i	−0.366499	−	0.930418i	$-0.619444\pi$
$907$	−33.6882	−	8.17268i	−1.11860	−	0.271369i	−0.752100	+	0.659049i	$0.770959\pi$
$908$	−12.7015	−	2.44802i	−0.421515	−	0.0812403i
$909$	10.7302	+	9.29775i	0.355897	+	0.308387i
$910$	6.69191	+	18.8867i	0.221835	+	0.626087i
$911$	−46.4468	+	21.2115i	−1.53885	+	0.702769i	−0.991007	−	0.133811i	$-0.957278\pi$
$911$	−46.4468	+	21.2115i	−1.53885	+	0.702769i	−0.547844	+	0.836581i	$0.684551\pi$
$912$	4.27362	−	8.28966i	0.141514	−	0.274498i
$913$	−5.53174	−	5.80152i	−0.183074	−	0.192002i
$914$	−23.4910	+	58.6776i	−0.777013	+	1.94088i
$915$	−0.766774	−	8.03002i	−0.0253488	−	0.265464i
$916$	−1.24589	+	8.66539i	−0.0411655	+	0.286312i
$917$	−4.16034	−	7.08566i	−0.137387	−	0.233989i
$918$	−5.29082	+	4.58452i	−0.174623	+	0.151312i
$919$	14.1966	−	8.19642i	0.468303	−	0.270375i	−0.247226	−	0.968958i	$-0.579519\pi$
$919$	14.1966	−	8.19642i	0.468303	−	0.270375i	0.715529	+	0.698583i	$0.246186\pi$
$920$	−15.8555	−	10.4359i	−0.522739	−	0.344063i
$921$	0.570062	−	0.987376i	0.0187842	−	0.0325352i
$922$	25.1191	+	8.69382i	0.827255	+	0.286316i
$923$	−9.00743	+	14.0158i	−0.296483	+	0.461337i
$924$	−7.35929	+	3.42619i	−0.242103	+	0.112713i
$925$	12.3124	+	5.62290i	0.404830	+	0.184880i
$926$	31.0146	−	24.3901i	1.01920	−	0.801510i
$927$	−6.50269	+	6.20031i	−0.213576	+	0.203645i
$928$	2.07401	+	43.5387i	0.0680826	+	1.42923i
$929$	−11.6655	−	8.30696i	−0.382732	−	0.272543i	0.372457	−	0.928050i	$-0.378516\pi$
$929$	−11.6655	−	8.30696i	−0.382732	−	0.272543i	−0.755189	+	0.655507i	$0.772455\pi$
$930$	22.2344	−	6.52860i	0.729094	−	0.214081i
$931$	7.49707	−	10.8612i	0.245707	−	0.355961i
$932$	4.84243	−	5.58846i	0.158619	−	0.183056i
$933$	1.65748	+	1.58040i	0.0542634	+	0.0517400i
$934$	−6.74473	−	0.644044i	−0.220694	−	0.0210738i
$935$	32.3865	−	1.54276i	1.05915	−	0.0504537i
$936$	−4.68641	+	1.13691i	−0.153180	+	0.0371611i
$937$	3.28393	+	22.8402i	0.107281	+	0.746158i	0.970460	+	0.241260i	$0.0775607\pi$
$937$	3.28393	+	22.8402i	0.107281	+	0.746158i	−0.863179	+	0.504898i	$0.831530\pi$
$938$	4.97870	+	32.9157i	0.162560	+	1.07474i
$939$	−7.19240	−	1.03411i	−0.234715	−	0.0337470i
$940$	8.67565	+	0.413272i	0.282969	+	0.0134795i
$941$	53.5644	−	10.3237i	1.74615	−	0.336542i	0.786467	−	0.617633i	$-0.211908\pi$
$941$	53.5644	−	10.3237i	1.74615	−	0.336542i	0.959681	+	0.281090i	$0.0906960\pi$
$942$	−7.86460	−	4.54063i	−0.256243	−	0.147942i
$943$	−1.62614	+	15.2669i	−0.0529543	+	0.497157i
$944$		−	52.1561i		−	1.69754i
$945$	1.24185	+	4.96023i	0.0403973	+	0.161356i
$946$	10.3840	+	6.67341i	0.337614	+	0.216971i
$947$	−28.6379	+	11.4649i	−0.930607	+	0.372559i	−0.786913	−	0.617063i	$-0.788322\pi$
$947$	−28.6379	+	11.4649i	−0.930607	+	0.372559i	−0.143694	+	0.989622i	$0.545898\pi$
$948$	1.10721	+	1.55486i	0.0359606	+	0.0504996i
$949$	17.5473	+	7.02489i	0.569610	+	0.228038i
$950$	0.935592	+	3.85656i	0.0303546	+	0.125123i
$951$	−5.10993	−	7.95120i	−0.165701	−	0.257835i
$952$	−10.5928	−	20.1831i	−0.343314	−	0.654137i
$953$	4.20623	+	14.3251i	0.136253	+	0.464035i	0.999145	−	0.0413539i	$-0.0131671\pi$
$953$	4.20623	+	14.3251i	0.136253	+	0.464035i	−0.862892	+	0.505389i	$0.831349\pi$
$954$	−0.929725	+	4.82387i	−0.0301010	+	0.156179i
$955$	12.3244	−	4.26551i	0.398807	−	0.138029i
$956$	1.36573	−	5.62961i	0.0441708	−	0.182075i
$957$	24.3765	−	34.2320i	0.787980	−	1.10656i
$958$	−55.3592	+	35.5772i	−1.78858	+	1.14945i
$959$	3.89801	−	16.5970i	0.125873	−	0.535946i
$960$	−5.75840	+	0.827932i	−0.185851	+	0.0267214i
$961$	20.8183	−	1.98790i	0.671557	−	0.0641259i
$962$	−32.9629	−	25.9223i	−1.06277	−	0.835769i
$963$	7.50860	+	14.5646i	0.241961	+	0.469339i
$964$	0.220613	−	0.637419i	0.00710546	−	0.0205299i
$965$	−22.9024			−0.737253
$966$	−15.3344	+	14.5164i	−0.493376	+	0.467058i
$967$	55.9045			1.79777			0.898883	−	0.438189i	$-0.144380\pi$
$967$	55.9045			1.79777			0.898883	+	0.438189i	$0.144380\pi$
$968$	−3.28453	+	9.49003i	−0.105569	+	0.305021i
$969$	3.63433	+	7.04962i	0.116751	+	0.226466i
$970$	−24.3534	−	19.1517i	−0.781940	−	0.614924i
$971$	−54.6099	+	5.21462i	−1.75252	+	0.167345i	−0.921364	−	0.388701i	$-0.872924\pi$
$971$	−54.6099	+	5.21462i	−1.75252	+	0.167345i	−0.831152	+	0.556046i	$0.812318\pi$
$972$	0.761544	−	0.109494i	0.0244266	−	0.00351201i
$973$	44.5902	−	13.4481i	1.42949	−	0.431126i
$974$	25.8425	−	16.6080i	0.828048	−	0.532154i
$975$	1.72763	−	2.42611i	0.0553283	−	0.0776977i
$976$	4.86773	−	20.0651i	0.155812	−	0.642267i
$977$	−49.5460	+	17.1480i	−1.58512	+	0.548614i	−0.970685	−	0.240356i	$-0.922736\pi$
$977$	−49.5460	+	17.1480i	−1.58512	+	0.548614i	−0.614431	+	0.788970i	$0.710615\pi$
$978$	6.04494	−	31.3641i	0.193296	−	1.00291i
$979$	−18.5443	−	63.1559i	−0.592677	−	2.01847i
$980$	10.4074	−	0.152343i	0.332454	−	0.00486642i
$981$	4.19513	+	6.52775i	0.133940	+	0.208415i
$982$	10.2794	+	42.3723i	0.328029	+	1.35215i
$983$	40.7575	+	16.3168i	1.29996	+	0.520426i	0.915353	−	0.402653i	$-0.131912\pi$
$983$	40.7575	+	16.3168i	1.29996	+	0.520426i	0.384609	+	0.923080i	$0.374336\pi$
$984$	3.80297	+	5.34052i	0.121234	+	0.170250i
$985$	−32.3684	+	12.9583i	−1.03134	+	0.412887i
$986$	−62.0617	−	39.8847i	−1.97645	−	1.27019i
$987$	−4.24536	+	14.8598i	−0.135131	+	0.472993i
$988$		−	3.41563i		−	0.108666i
$989$	8.64507	+	2.19745i	0.274897	+	0.0698748i
$990$	−11.1077	−	6.41303i	−0.353026	−	0.203820i
$991$	4.04671	−	0.779940i	0.128548	−	0.0247756i	−0.124571	−	0.992211i	$-0.539756\pi$
$991$	4.04671	−	0.779940i	0.128548	−	0.0247756i	0.253119	+	0.967435i	$0.418543\pi$
$992$	29.7688	+	1.41806i	0.945161	+	0.0450236i
$993$	−14.1889	−	2.04006i	−0.450272	−	0.0647393i
$994$	19.4358	+	24.3458i	0.616465	+	0.772201i
$995$	4.99739	+	34.7576i	0.158428	+	1.10189i
$996$	1.50292	−	0.364604i	0.0476218	−	0.0115529i
$997$	−41.0021	+	1.95317i	−1.29855	+	0.0618576i	−0.685434	−	0.728135i	$-0.740387\pi$
$997$	−41.0021	+	1.95317i	−1.29855	+	0.0618576i	−0.613116	+	0.789993i	$0.710084\pi$
$998$	−53.4071	−	5.09976i	−1.69057	−	0.161430i
$999$	−7.74497	−	7.38481i	−0.245040	−	0.233645i

Display

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bf.a.10.8	✓	640
7.5	odd	6	inner	483.2.bf.a.355.25	yes	640
23.7	odd	22	inner	483.2.bf.a.283.25	yes	640
161.145	even	66	inner	483.2.bf.a.145.8	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bf.a.10.8	✓	640	1.1	even	1	trivial
483.2.bf.a.145.8	yes	640	161.145	even	66	inner
483.2.bf.a.283.25	yes	640	23.7	odd	22	inner
483.2.bf.a.355.25	yes	640	7.5	odd	6	inner

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

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Newspace parameters

Newform invariants

Embedding invariants

$q$ -expansion

Character values

Coefficient data

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	483.2.bf.a.10.8

Level	$483$
Weight	$2$
Character	483.10
Analytic conductor	$3.857$
Analytic rank	$0$
Dimension	$640$
Inner twists	$4$