LMFDB - Embedded newform 507.2.t.b.4.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [507,2,Mod(4,507)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(507, base_ring=CyclotomicField(78))

chi = DirichletCharacter(H, H._module([0, 1]))

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

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

chi := DirichletCharacter("507.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$507 = 3 \cdot 13^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	507.t (of order $78$ , degree $24$ , 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:	$4.04841538248$
Analytic rank:	$0$
Dimension:	$360$
Relative dimension:	$15$ over $\Q(\zeta_{78})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label			4.14
Character	$\chi$	$=$	507.4
Dual form			507.2.t.b.127.14

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.27767 + 0.0917871i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(3.18585 + 0.257189i) q^{4} +(-1.29798 - 0.492260i) q^{5} +(-0.721851 + 2.16221i) q^{6} +(1.28355 + 3.01261i) q^{7} +(2.70692 + 0.328679i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(-2.91120 - 1.24035i) q^{10} +(1.23690 + 1.95600i) q^{11} +(-1.13339 + 2.98851i) q^{12} +(2.73525 + 2.34913i) q^{13} +(2.64700 + 6.97955i) q^{14} +(0.833947 - 1.10978i) q^{15} +(-0.174349 - 0.0283345i) q^{16} +(4.22227 - 1.79894i) q^{17} +(-1.87601 - 1.29492i) q^{18} +(-1.50270 + 0.867585i) q^{19} +(-4.00858 - 1.90210i) q^{20} +(-3.25077 + 0.394715i) q^{21} +(2.63771 + 4.56865i) q^{22} +(4.00318 - 6.93371i) q^{23} +(-1.06881 + 2.50860i) q^{24} +(-2.30011 - 2.03772i) q^{25} +(6.01437 + 5.60162i) q^{26} +(0.748511 - 0.663123i) q^{27} +(3.31440 + 9.92785i) q^{28} +(0.0925207 - 2.29588i) q^{29} +(2.00132 - 2.45117i) q^{30} +(-2.88098 - 3.25196i) q^{31} +(-5.73789 - 1.17140i) q^{32} +(-2.22290 + 0.643870i) q^{33} +(9.78206 - 3.70985i) q^{34} +(-0.183043 - 4.54216i) q^{35} +(-2.55519 - 1.92010i) q^{36} +(-11.7498 + 2.39873i) q^{37} +(-3.50229 + 1.83814i) q^{38} +(-3.01738 + 1.97368i) q^{39} +(-3.35174 - 1.75913i) q^{40} +(-1.82716 - 0.529244i) q^{41} +(-7.44043 + 0.600653i) q^{42} +(0.284648 - 1.39430i) q^{43} +(3.43751 + 6.54963i) q^{44} +(0.833947 + 1.10978i) q^{45} +(9.75435 - 15.4253i) q^{46} +(8.22934 - 5.68030i) q^{47} +(0.0757227 - 0.159582i) q^{48} +(-2.57924 + 2.68528i) q^{49} +(-5.05186 - 4.85238i) q^{50} +(0.553206 + 4.55606i) q^{51} +(8.10992 + 8.18747i) q^{52} +(-0.592201 + 4.87722i) q^{53} +(1.76573 - 1.44167i) q^{54} +(-0.642613 - 3.14773i) q^{55} +(2.48429 + 8.57677i) q^{56} +(-0.415253 - 1.68475i) q^{57} +(0.421464 - 5.22076i) q^{58} +(1.33357 + 8.20578i) q^{59} +(2.94225 - 3.32112i) q^{60} +(5.05622 - 3.79950i) q^{61} +(-6.26344 - 7.67133i) q^{62} +(0.525291 - 3.23224i) q^{63} +(-12.6185 - 3.11018i) q^{64} +(-2.39392 - 4.39559i) q^{65} +(-5.12213 + 1.26249i) q^{66} +(-1.21561 - 15.0581i) q^{67} +(13.9142 - 4.64524i) q^{68} +(5.54620 + 5.77420i) q^{69} -10.3624i q^{70} +(-3.62615 + 3.48296i) q^{71} +(-2.11219 - 1.72455i) q^{72} +(-1.90815 + 3.63568i) q^{73} +(-26.9823 + 4.38505i) q^{74} +(2.59720 - 1.64237i) q^{75} +(-5.01051 + 2.37752i) q^{76} +(-4.30503 + 6.23691i) q^{77} +(-7.05376 + 4.21845i) q^{78} +(6.07029 + 8.79433i) q^{79} +(0.212354 + 0.122603i) q^{80} +(0.428693 + 0.903450i) q^{81} +(-4.11310 - 1.37315i) q^{82} +(0.966001 - 3.91922i) q^{83} +(-10.4580 + 0.421443i) q^{84} +(-6.36598 + 0.256540i) q^{85} +(0.776312 - 3.14962i) q^{86} +(2.17949 + 0.727621i) q^{87} +(2.70528 + 5.70126i) q^{88} +(-0.715057 - 0.412838i) q^{89} +(1.79759 + 2.60426i) q^{90} +(-3.56619 + 11.2555i) q^{91} +(14.5368 - 21.0602i) q^{92} +(3.92510 - 1.86248i) q^{93} +(19.2651 - 12.1825i) q^{94} +(2.37756 - 0.386391i) q^{95} +(2.72153 - 5.18545i) q^{96} +(5.90135 + 4.81831i) q^{97} +(-6.12115 + 5.87944i) q^{98} -2.31427i q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$360 q - 15 q^{3} - 14 q^{4} + 3 q^{7} + 15 q^{9} + 6 q^{11} - 28 q^{12} + 6 q^{13} + 4 q^{14} - 6 q^{15} + 20 q^{16} - 6 q^{19} - 12 q^{20} - 28 q^{22} + 46 q^{23} - 6 q^{25} - 39 q^{26} + 30 q^{27} - 6 q^{28}+ \cdots - 104 q^{98}+O(q^{100})$ 360 * q - 15 * q^3 - 14 * q^4 + 3 * q^7 + 15 * q^9 + 6 * q^11 - 28 * q^12 + 6 * q^13 + 4 * q^14 - 6 * q^15 + 20 * q^16 - 6 * q^19 - 12 * q^20 - 28 * q^22 + 46 * q^23 - 6 * q^25 - 39 * q^26 + 30 * q^27 - 6 * q^28 + 43 * q^29 + 26 * q^31 - 195 * q^32 + 19 * q^33 + 65 * q^34 + 84 * q^35 - 14 * q^36 - 65 * q^38 - 2 * q^39 + 12 * q^41 - 128 * q^42 + 83 * q^43 - 39 * q^44 - 6 * q^45 - 20 * q^48 + 72 * q^49 - 52 * q^50 - 55 * q^52 + 49 * q^53 - 49 * q^55 - 2 * q^56 + 26 * q^57 + 26 * q^58 - 202 * q^59 - 182 * q^60 - 3 * q^61 - 65 * q^62 - 3 * q^63 - 14 * q^64 - 58 * q^65 + 48 * q^66 - 41 * q^67 + 139 * q^68 + 6 * q^69 - 60 * q^71 - 52 * q^73 - 269 * q^74 + 23 * q^75 - 14 * q^76 + 70 * q^77 - 65 * q^78 + 18 * q^79 + 492 * q^80 + 15 * q^81 - 65 * q^82 + 78 * q^83 - 6 * q^84 - 91 * q^85 - 169 * q^86 + 48 * q^87 - 522 * q^88 - 12 * q^89 + 373 * q^91 + 72 * q^92 - 3 * q^93 - 13 * q^94 - 110 * q^95 + 65 * q^96 - 121 * q^97 - 104 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/507\mathbb{Z}\right)^\times$ .

$n$	$170$	$340$
$\chi(n)$	$1$	$e\left(\frac{1}{78}\right)$

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

)

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

$2$	2.27767	+	0.0917871i	1.61056	+	0.0649032i	0.829116	−	0.559076i	$-0.188844\pi$
$2$	2.27767	+	0.0917871i	1.61056	+	0.0649032i	0.781441	+	0.623979i	$0.214485\pi$
$3$	−0.278217	+	0.960518i	−0.160629	+	0.554555i
$3$	−0.278217	+	0.960518i	−0.160629	+	0.554555i
$4$	3.18585	+	0.257189i	1.59293	+	0.128594i
$5$	−1.29798	−	0.492260i	−0.580476	−	0.220146i	0.0468504	−	0.998902i	$-0.485082\pi$
$5$	−1.29798	−	0.492260i	−0.580476	−	0.220146i	−0.627326	+	0.778756i	$0.715851\pi$
$6$	−0.721851	+	2.16221i	−0.294695	+	0.882718i
$7$	1.28355	+	3.01261i	0.485138	+	1.13866i	0.965221	+	0.261437i	$0.0841963\pi$
$7$	1.28355	+	3.01261i	0.485138	+	1.13866i	−0.480083	+	0.877223i	$0.659393\pi$
$8$	2.70692	+	0.328679i	0.957040	+	0.116206i
$9$	−0.845190	−	0.534466i	−0.281730	−	0.178155i
$10$	−2.91120	−	1.24035i	−0.920602	−	0.392232i
$11$	1.23690	+	1.95600i	0.372938	+	0.589755i	0.978551	−	0.206005i	$-0.0660462\pi$
$11$	1.23690	+	1.95600i	0.372938	+	0.589755i	−0.605613	+	0.795760i	$0.707072\pi$
$12$	−1.13339	+	2.98851i	−0.327183	+	0.862710i
$13$	2.73525	+	2.34913i	0.758621	+	0.651533i
$13$	2.73525	+	2.34913i	0.758621	+	0.651533i
$14$	2.64700	+	6.97955i	0.707439	+	1.86536i
$15$	0.833947	−	1.10978i	0.215324	−	0.286544i
$16$	−0.174349	−	0.0283345i	−0.0435873	−	0.00708362i
$17$	4.22227	−	1.79894i	1.02405	−	0.436307i	0.186377	−	0.982478i	$-0.440326\pi$
$17$	4.22227	−	1.79894i	1.02405	−	0.436307i	0.837673	+	0.546171i	$0.183915\pi$
$18$	−1.87601	−	1.29492i	−0.442180	−	0.305215i
$19$	−1.50270	+	0.867585i	−0.344743	+	0.199038i	−0.662368	−	0.749179i	$-0.730448\pi$
$19$	−1.50270	+	0.867585i	−0.344743	+	0.199038i	0.317624	+	0.948217i	$0.397115\pi$
$20$	−4.00858	−	1.90210i	−0.896346	−	0.425321i
$21$	−3.25077	+	0.394715i	−0.709377	+	0.0861340i
$22$	2.63771	+	4.56865i	0.562362	+	0.974039i
$23$	4.00318	−	6.93371i	0.834720	−	1.44578i	−0.0595375	−	0.998226i	$-0.518963\pi$
$23$	4.00318	−	6.93371i	0.834720	−	1.44578i	0.894258	−	0.447552i	$-0.147704\pi$
$24$	−1.06881	+	2.50860i	−0.218171	+	0.512066i
$25$	−2.30011	−	2.03772i	−0.460022	−	0.407544i
$26$	6.01437	+	5.60162i	1.17952	+	1.09857i
$27$	0.748511	−	0.663123i	0.144051	−	0.127618i
$28$	3.31440	+	9.92785i	0.626363	+	1.87619i
$29$	0.0925207	−	2.29588i	0.0171807	−	0.426334i	−0.967595	−	0.252506i	$-0.918745\pi$
$29$	0.0925207	−	2.29588i	0.0171807	−	0.426334i	0.984776	−	0.173828i	$-0.0556137\pi$
$30$	2.00132	−	2.45117i	0.365390	−	0.447521i
$31$	−2.88098	−	3.25196i	−0.517440	−	0.584069i	0.430471	−	0.902604i	$-0.358347\pi$
$31$	−2.88098	−	3.25196i	−0.517440	−	0.584069i	−0.947911	+	0.318536i	$0.896809\pi$
$32$	−5.73789	−	1.17140i	−1.01433	−	0.207076i
$33$	−2.22290	+	0.643870i	−0.386956	+	0.112083i
$34$	9.78206	−	3.70985i	1.67761	−	0.636233i
$35$	−0.183043	−	4.54216i	−0.0309399	−	0.767766i
$36$	−2.55519	−	1.92010i	−0.425865	−	0.320017i
$37$	−11.7498	+	2.39873i	−1.93165	+	0.394349i	−0.932171	+	0.362018i	$0.882088\pi$
$37$	−11.7498	+	2.39873i	−1.93165	+	0.394349i	−0.999477	+	0.0323306i	$0.989707\pi$
$38$	−3.50229	+	1.83814i	−0.568147	+	0.298186i
$39$	−3.01738	+	1.97368i	−0.483167	+	0.316042i
$40$	−3.35174	−	1.75913i	−0.529957	−	0.278143i
$41$	−1.82716	−	0.529244i	−0.285355	−	0.0826540i	0.132454	−	0.991189i	$-0.457714\pi$
$41$	−1.82716	−	0.529244i	−0.285355	−	0.0826540i	−0.417808	+	0.908535i	$0.637202\pi$
$42$	−7.44043	+	0.600653i	−1.14808	+	0.0926828i
$43$	0.284648	−	1.39430i	0.0434084	−	0.212628i	−0.952301	−	0.305159i	$-0.901290\pi$
$43$	0.284648	−	1.39430i	0.0434084	−	0.212628i	0.995710	+	0.0925306i	$0.0294956\pi$
$44$	3.43751	+	6.54963i	0.518224	+	0.987394i
$45$	0.833947	+	1.10978i	0.124317	+	0.165436i
$46$	9.75435	−	15.4253i	1.43820	−	2.27433i
$47$	8.22934	−	5.68030i	1.20037	−	0.828558i	0.211508	−	0.977376i	$-0.432162\pi$
$47$	8.22934	−	5.68030i	1.20037	−	0.828558i	0.988864	+	0.148819i	$0.0475471\pi$
$48$	0.0757227	−	0.159582i	0.0109296	−	0.0230337i
$49$	−2.57924	+	2.68528i	−0.368463	+	0.383611i
$50$	−5.05186	−	4.85238i	−0.714441	−	0.686230i
$51$	0.553206	+	4.55606i	0.0774643	+	0.637976i
$52$	8.10992	+	8.18747i	1.12464	+	1.13540i
$53$	−0.592201	+	4.87722i	−0.0813451	+	0.669937i	0.893815	+	0.448436i	$0.148019\pi$
$53$	−0.592201	+	4.87722i	−0.0813451	+	0.669937i	−0.975160	+	0.221501i	$0.928904\pi$
$54$	1.76573	−	1.44167i	0.240285	−	0.196187i
$55$	−0.642613	−	3.14773i	−0.0866499	−	0.424439i
$56$	2.48429	+	8.57677i	0.331977	+	1.14612i
$57$	−0.415253	−	1.68475i	−0.0550016	−	0.223150i
$58$	0.421464	−	5.22076i	0.0553409	−	0.685520i
$59$	1.33357	+	8.20578i	0.173616	+	1.06830i	0.916839	+	0.399258i	$0.130732\pi$
$59$	1.33357	+	8.20578i	0.173616	+	1.06830i	−0.743223	+	0.669044i	$0.766704\pi$
$60$	2.94225	−	3.32112i	0.379843	−	0.428755i
$61$	5.05622	−	3.79950i	0.647383	−	0.486476i	−0.225605	−	0.974219i	$-0.572436\pi$
$61$	5.05622	−	3.79950i	0.647383	−	0.486476i	0.872988	+	0.487742i	$0.162179\pi$
$62$	−6.26344	−	7.67133i	−0.795458	−	0.974259i
$63$	0.525291	−	3.23224i	0.0661804	−	0.407225i
$64$	−12.6185	−	3.11018i	−1.57731	−	0.388773i
$65$	−2.39392	−	4.39559i	−0.296929	−	0.545206i
$66$	−5.12213	+	1.26249i	−0.630490	+	0.155402i
$67$	−1.21561	−	15.0581i	−0.148511	−	1.83964i	−0.458259	−	0.888819i	$-0.651527\pi$
$67$	−1.21561	−	15.0581i	−0.148511	−	1.83964i	0.309748	−	0.950819i	$-0.399755\pi$
$68$	13.9142	−	4.64524i	1.68734	−	0.563318i
$69$	5.54620	+	5.77420i	0.667684	+	0.695132i
$70$		−	10.3624i		−	1.23854i
$71$	−3.62615	+	3.48296i	−0.430344	+	0.413351i	−0.876347	−	0.481680i	$-0.840027\pi$
$71$	−3.62615	+	3.48296i	−0.430344	+	0.413351i	0.446003	+	0.895032i	$0.352847\pi$
$72$	−2.11219	−	1.72455i	−0.248924	−	0.203240i
$73$	−1.90815	+	3.63568i	−0.223332	+	0.425524i	−0.971180	−	0.238346i	$-0.923395\pi$
$73$	−1.90815	+	3.63568i	−0.223332	+	0.425524i	0.747848	+	0.663870i	$0.231087\pi$
$74$	−26.9823	+	4.38505i	−3.13663	+	0.509751i
$75$	2.59720	−	1.64237i	0.299899	−	0.189644i
$76$	−5.01051	+	2.37752i	−0.574745	+	0.272720i
$77$	−4.30503	+	6.23691i	−0.490604	+	0.710762i
$78$	−7.05376	+	4.21845i	−0.798681	+	0.477645i
$79$	6.07029	+	8.79433i	0.682961	+	0.989439i	0.999169	+	0.0407497i	$0.0129746\pi$
$79$	6.07029	+	8.79433i	0.682961	+	0.989439i	−0.316209	+	0.948690i	$0.602410\pi$
$80$	0.212354	+	0.122603i	0.0237419	+	0.0137074i
$81$	0.428693	+	0.903450i	0.0476325	+	0.100383i
$82$	−4.11310	−	1.37315i	−0.454216	−	0.151640i
$83$	0.966001	−	3.91922i	0.106032	−	0.430191i	−0.893801	−	0.448465i	$-0.851971\pi$
$83$	0.966001	−	3.91922i	0.106032	−	0.430191i	0.999833	+	0.0182741i	$0.00581716\pi$
$84$	−10.4580	+	0.421443i	−1.14106	+	0.0459832i
$85$	−6.36598	+	0.256540i	−0.690488	+	0.0278257i
$86$	0.776312	−	3.14962i	0.0837119	−	0.339633i
$87$	2.17949	+	0.727621i	0.233666	+	0.0780092i
$88$	2.70528	+	5.70126i	0.288384	+	0.607757i
$89$	−0.715057	−	0.412838i	−0.0757958	−	0.0437608i	0.461623	−	0.887076i	$-0.347267\pi$
$89$	−0.715057	−	0.412838i	−0.0757958	−	0.0437608i	−0.537419	+	0.843315i	$0.680601\pi$
$90$	1.79759	+	2.60426i	0.189483	+	0.274514i
$91$	−3.56619	+	11.2555i	−0.373839	+	1.17989i
$92$	14.5368	−	21.0602i	1.51557	−	2.19568i
$93$	3.92510	−	1.86248i	0.407014	−	0.193131i
$94$	19.2651	−	12.1825i	1.98705	−	1.25653i
$95$	2.37756	−	0.386391i	0.243932	−	0.0396429i
$96$	2.72153	−	5.18545i	0.277765	−	0.529237i
$97$	5.90135	+	4.81831i	0.599192	+	0.489225i	0.882821	−	0.469709i	$-0.155641\pi$
$97$	5.90135	+	4.81831i	0.599192	+	0.489225i	−0.283630	+	0.958934i	$0.591539\pi$
$98$	−6.12115	+	5.87944i	−0.618329	+	0.593913i
$99$		−	2.31427i		−	0.232593i
$100$	−6.80373	−	7.08344i	−0.680373	−	0.708344i
$101$	−4.51832	+	1.50844i	−0.449590	+	0.150095i	−0.532442	−	0.846467i	$-0.678725\pi$
$101$	−4.51832	+	1.50844i	−0.449590	+	0.150095i	0.0828518	+	0.996562i	$0.473597\pi$
$102$	0.841834	+	10.4280i	0.0833540	+	1.03252i
$103$	10.1048	−	2.49061i	0.995655	−	0.245407i	0.292362	−	0.956308i	$-0.405559\pi$
$103$	10.1048	−	2.49061i	0.995655	−	0.245407i	0.703292	+	0.710901i	$0.251713\pi$
$104$	6.63197	+	7.25793i	0.650318	+	0.711699i
$105$	4.41376	+	1.08789i	0.430738	+	0.106168i
$106$	−1.79651	+	11.0543i	−0.174492	+	1.07369i
$107$	3.93285	+	4.81687i	0.380203	+	0.465664i	0.928886	−	0.370366i	$-0.120768\pi$
$107$	3.93285	+	4.81687i	0.380203	+	0.465664i	−0.548683	+	0.836031i	$0.684870\pi$
$108$	2.55519	−	1.92010i	0.245873	−	0.184762i
$109$	−0.473051	+	0.533964i	−0.0453100	+	0.0511445i	−0.770729	−	0.637163i	$-0.780108\pi$
$109$	−0.473051	+	0.533964i	−0.0453100	+	0.0511445i	0.725419	+	0.688308i	$0.241646\pi$
$110$	−1.17474	−	7.22847i	−0.112007	−	0.689208i
$111$	0.964964	−	11.9532i	0.0915903	−	1.13455i
$112$	−0.138426	−	0.561615i	−0.0130800	−	0.0530676i
$113$	−2.90959	−	10.0451i	−0.273711	−	0.944959i	−0.973132	−	0.230249i	$-0.926046\pi$
$113$	−2.90959	−	10.0451i	−0.273711	−	0.944959i	0.699421	−	0.714710i	$-0.253441\pi$
$114$	−0.791173	−	3.87542i	−0.0741001	−	0.362966i
$115$	−8.60925	+	7.02924i	−0.802817	+	0.655480i
$116$	0.885231	−	7.29053i	0.0821916	−	0.676909i
$117$	−1.05627	−	3.44736i	−0.0976522	−	0.318709i
$118$	2.28425	+	18.8125i	0.210282	+	1.73183i
$119$	10.8390	+	10.4110i	0.993610	+	0.954376i
$120$	2.62219	−	2.72999i	0.239372	−	0.249213i
$121$	2.41961	−	5.09922i	0.219965	−	0.463566i
$122$	11.8652	−	8.18993i	1.07422	−	0.741481i
$123$	1.01670	−	1.60778i	0.0916725	−	0.144968i
$124$	−8.34201	−	11.1012i	−0.749135	−	0.996918i
$125$	5.20805	+	9.92311i	0.465822	+	0.887550i
$126$	1.49312	−	7.31378i	0.133018	−	0.651563i
$127$	−6.10568	+	0.492901i	−0.541791	+	0.0437379i	−0.348333	−	0.937371i	$-0.613252\pi$
$127$	−6.10568	+	0.492901i	−0.541791	+	0.0437379i	−0.193458	+	0.981109i	$0.561970\pi$
$128$	−17.2053	−	4.98358i	−1.52075	−	0.440490i
$129$	1.26005	+	0.661327i	0.110941	+	0.0582266i
$130$	−5.04911	−	10.2314i	−0.442836	−	0.897357i
$131$	15.8089	−	8.29716i	1.38123	−	0.724926i	0.399775	−	0.916613i	$-0.369088\pi$
$131$	15.8089	−	8.29716i	1.38123	−	0.724926i	0.981456	+	0.191687i	$0.0613959\pi$
$132$	−7.24741	+	1.47957i	−0.630806	+	0.128780i
$133$	−4.54249	−	3.41346i	−0.393884	−	0.295985i
$134$	−1.38663	−	34.4089i	−0.119787	−	2.97248i
$135$	−1.29798	+	0.492260i	−0.111713	+	0.0423670i
$136$	12.0206	−	3.48181i	1.03076	−	0.298563i
$137$	−12.9701	−	2.64787i	−1.10811	−	0.226223i	−0.389083	−	0.921203i	$-0.627208\pi$
$137$	−12.9701	−	2.64787i	−1.10811	−	0.226223i	−0.719029	+	0.694980i	$0.755413\pi$
$138$	12.1024	+	13.6608i	1.03023	+	1.16289i
$139$	−9.67573	+	11.8506i	−0.820685	+	1.00516i	0.179088	+	0.983833i	$0.442685\pi$
$139$	−9.67573	+	11.8506i	−0.820685	+	1.00516i	−0.999773	+	0.0213234i	$0.993212\pi$
$140$	0.585045	−	14.5177i	0.0494453	−	1.22697i
$141$	3.16649	+	9.48479i	0.266666	+	0.798764i
$142$	−8.57886	+	7.60021i	−0.719922	+	0.637795i
$143$	−1.21168	+	8.25577i	−0.101326	+	0.690382i
$144$	0.132214	+	0.117132i	0.0110179	+	0.00976097i
$145$	−1.25026	+	2.93447i	−0.103828	+	0.243694i
$146$	−4.67985	+	8.10574i	−0.387307	+	0.670836i
$147$	−1.86167	−	3.22450i	−0.153548	−	0.265952i
$148$	−38.0499	+	4.62010i	−3.12768	+	0.379769i
$149$	19.7199	+	9.35722i	1.61552	+	0.766573i	0.999772	−	0.0213709i	$-0.00680310\pi$
$149$	19.7199	+	9.35722i	1.61552	+	0.766573i	0.615747	+	0.787944i	$0.288854\pi$
$150$	6.06632	−	3.50239i	0.495313	−	0.285969i
$151$	−18.8068	−	12.9814i	−1.53048	−	1.05641i	−0.974275	−	0.225364i	$-0.927643\pi$
$151$	−18.8068	−	12.9814i	−1.53048	−	1.05641i	−0.556201	−	0.831048i	$-0.687742\pi$
$152$	−4.35284	+	1.85457i	−0.353062	+	0.150426i
$153$	−4.53009	−	0.736211i	−0.366236	−	0.0595192i
$154$	−10.3779	+	13.8105i	−0.836276	+	1.11288i
$155$	2.13866	+	5.63918i	0.171781	+	0.452950i
$156$	−10.1205	+	5.51182i	−0.810291	+	0.441299i
$157$	−3.28305	+	8.65668i	−0.262016	+	0.690879i	0.737858	+	0.674956i	$0.235838\pi$
$157$	−3.28305	+	8.65668i	−0.262016	+	0.690879i	−0.999873	+	0.0159221i	$0.994932\pi$
$158$	13.0189	+	20.5878i	1.03573	+	1.63788i
$159$	−4.51989	−	1.92575i	−0.358451	−	0.152722i
$160$	6.87106	+	4.34500i	0.543205	+	0.343502i
$161$	26.0269	+	3.16023i	2.05120	+	0.249061i
$162$	0.893496	+	2.09711i	0.0701997	+	0.164765i
$163$	−2.81859	+	8.44271i	−0.220769	+	0.661284i	0.778658	+	0.627448i	$0.215901\pi$
$163$	−2.81859	+	8.44271i	−0.220769	+	0.661284i	−0.999427	+	0.0338360i	$0.989228\pi$
$164$	−5.68495	−	2.15602i	−0.443920	−	0.168357i
$165$	3.20223	+	0.258511i	0.249294	+	0.0201251i
$166$	2.55997	−	8.83804i	0.198692	−	0.685965i
$167$	4.88360	+	0.196802i	0.377904	+	0.0152290i	0.228491	−	0.973546i	$-0.426621\pi$
$167$	4.88360	+	0.196802i	0.377904	+	0.0152290i	0.149413	+	0.988775i	$0.452262\pi$
$168$	−8.92931			−0.688911
$169$	1.96314	+	12.8509i	0.151011	+	0.988532i
$170$	−14.5232			−1.11388
$171$	1.73376	+	0.0698682i	0.132584	+	0.00534296i
$172$	1.26544	−	4.36881i	0.0964891	−	0.333119i
$173$	−15.5750	−	1.25735i	−1.18415	−	0.0955943i	−0.527342	−	0.849653i	$-0.676811\pi$
$173$	−15.5750	−	1.25735i	−1.18415	−	0.0955943i	−0.656807	+	0.754059i	$0.728093\pi$
$174$	4.89738	+	1.85733i	0.371269	+	0.140804i
$175$	3.18654	−	9.54486i	0.240880	−	0.721524i
$176$	−0.160230	−	0.376073i	−0.0120778	−	0.0283476i
$177$	−8.25282	−	1.00207i	−0.620320	−	0.0753205i
$178$	−1.59077	−	1.00594i	−0.119233	−	0.0753986i
$179$	−3.33505	−	1.42093i	−0.249274	−	0.106206i	0.263716	−	0.964600i	$-0.415052\pi$
$179$	−3.33505	−	1.42093i	−0.249274	−	0.106206i	−0.512990	+	0.858395i	$0.671462\pi$
$180$	2.37141	+	3.75008i	0.176754	+	0.279515i
$181$	4.03954	−	10.6514i	0.300257	−	0.791712i	−0.696957	−	0.717113i	$-0.745463\pi$
$181$	4.03954	−	10.6514i	0.300257	−	0.791712i	0.997214	−	0.0745992i	$-0.0237677\pi$
$182$	−9.15573	+	25.3089i	−0.678668	+	1.87602i
$183$	2.24276	+	5.91368i	0.165790	+	0.437152i
$184$	13.1152	−	17.4532i	0.966868	−	1.28667i
$185$	16.4318	+	2.67043i	1.20809	+	0.196334i
$186$	9.11105	−	3.88185i	0.668054	−	0.284631i
$187$	8.74123	+	6.03363i	0.639222	+	0.441223i
$188$	27.6784	−	15.9801i	2.01865	−	1.16547i
$189$	2.95848	+	1.40382i	0.215198	+	0.102113i
$190$	5.45077	−	0.661843i	0.395440	−	0.0480151i
$191$	−8.38075	−	14.5159i	−0.606410	−	1.05033i	−0.991827	−	0.127590i	$-0.959276\pi$
$191$	−8.38075	−	14.5159i	−0.606410	−	1.05033i	0.385417	−	0.922742i	$-0.374058\pi$
$192$	6.49808	−	11.2550i	0.468958	−	0.812260i
$193$	−10.3465	+	24.2842i	−0.744760	+	1.74802i	−0.0851997	+	0.996364i	$0.527153\pi$
$193$	−10.3465	+	24.2842i	−0.744760	+	1.74802i	−0.659560	+	0.751652i	$0.729257\pi$
$194$	12.9991	+	11.5162i	0.933280	+	0.826814i
$195$	4.88808	−	1.07647i	0.350042	−	0.0770878i
$196$	−8.90771	+	7.89154i	−0.636265	+	0.563682i
$197$	5.59011	+	16.7444i	0.398279	+	1.19299i	0.936645	+	0.350280i	$0.113914\pi$
$197$	5.59011	+	16.7444i	0.398279	+	1.19299i	−0.538366	+	0.842711i	$0.680958\pi$
$198$	0.212420	−	5.27114i	0.0150960	−	0.374604i
$199$	−10.6409	+	13.0328i	−0.754316	+	0.923869i	−0.998953	−	0.0457455i	$-0.985434\pi$
$199$	−10.6409	+	13.0328i	−0.754316	+	0.923869i	0.244637	+	0.969615i	$0.421331\pi$
$200$	−5.55646	−	6.27194i	−0.392901	−	0.443493i
$201$	14.8018	+	3.02180i	1.04404	+	0.213141i
$202$	−10.4297	+	3.02100i	−0.733832	+	0.212557i
$203$	7.03534	−	2.66815i	0.493784	−	0.187268i
$204$	0.590665	+	14.6572i	0.0413548	+	1.02621i
$205$	2.11110	+	1.58639i	0.147446	+	0.110798i
$206$	23.2440	−	4.74530i	1.61949	−	0.330621i
$207$	−7.08928	+	3.72074i	−0.492739	+	0.258609i
$208$	−0.410326	−	0.487071i	−0.0284510	−	0.0337723i
$209$	−3.55568	−	1.86616i	−0.245951	−	0.129085i
$210$	9.95324	+	2.88299i	0.686838	+	0.198945i
$211$	3.15237	−	0.254486i	0.217018	−	0.0175195i	0.0285208	−	0.999593i	$-0.490920\pi$
$211$	3.15237	−	0.254486i	0.217018	−	0.0175195i	0.188497	+	0.982074i	$0.439638\pi$
$212$	−3.14103	+	15.3858i	−0.215727	+	1.05670i
$213$	−2.33659	−	4.45200i	−0.160100	−	0.305046i
$214$	8.51562	+	11.3322i	0.582116	+	0.774656i
$215$	−1.05582	+	1.66965i	−0.0720067	+	0.113869i
$216$	2.24411	−	1.54900i	0.152692	−	0.105396i
$217$	6.09898	−	12.8533i	0.414026	−	0.872541i
$218$	−1.12647	+	1.17277i	−0.0762939	+	0.0794303i
$219$	−2.96125	−	2.84432i	−0.200103	−	0.192202i
$220$	−1.23771	−	10.1935i	−0.0834464	−	0.687243i
$221$	15.7749	+	4.99813i	1.06113	+	0.336211i
$222$	3.29502	−	27.1370i	0.221147	−	1.82131i
$223$	−5.72311	+	4.67278i	−0.383248	+	0.312912i	−0.804412	−	0.594072i	$-0.797519\pi$
$223$	−5.72311	+	4.67278i	−0.383248	+	0.312912i	0.421164	+	0.906985i	$0.361622\pi$
$224$	−3.83592	−	18.7896i	−0.256298	−	1.25543i
$225$	0.854939	+	2.95159i	0.0569959	+	0.196773i
$226$	−5.70508	−	23.1464i	−0.379496	−	1.53968i
$227$	1.82491	−	22.6055i	0.121123	−	1.50038i	−0.595746	−	0.803173i	$-0.703144\pi$
$227$	1.82491	−	22.6055i	0.121123	−	1.50038i	0.716869	−	0.697208i	$-0.245574\pi$
$228$	−0.889637	−	5.47416i	−0.0589176	−	0.362535i
$229$	−16.5597	+	18.6921i	−1.09430	+	1.23521i	−0.124259	+	0.992250i	$0.539655\pi$
$229$	−16.5597	+	18.6921i	−1.09430	+	1.23521i	−0.970037	+	0.242956i	$0.921883\pi$
$230$	−20.2542	+	15.2201i	−1.33553	+	1.00358i
$231$	−4.79293	−	5.87028i	−0.315352	−	0.386236i
$232$	1.00505	−	6.18434i	0.0659850	−	0.406022i
$233$	−23.9817	−	5.91097i	−1.57110	−	0.387241i	−0.644896	−	0.764271i	$-0.723099\pi$
$233$	−23.9817	−	5.91097i	−1.57110	−	0.387241i	−0.926201	+	0.377030i	$0.876945\pi$
$234$	−2.08942	−	7.94891i	−0.136589	−	0.519636i
$235$	−13.4777	+	3.32197i	−0.879191	+	0.216701i
$236$	2.13812	+	26.4854i	0.139180	+	1.72405i
$237$	−10.1360	+	3.38388i	−0.658402	+	0.219807i
$238$	23.7321	+	24.7078i	1.53832	+	1.60157i
$239$		−	6.52637i		−	0.422156i	−0.977469	−	0.211078i	$-0.932303\pi$
$239$		−	6.52637i		−	0.422156i	0.977469	−	0.211078i	$-0.0676974\pi$
$240$	−0.176843	+	0.169860i	−0.0114152	+	0.0109644i
$241$	3.32034	+	2.71097i	0.213882	+	0.174629i	0.733330	−	0.679873i	$-0.237965\pi$
$241$	3.32034	+	2.71097i	0.213882	+	0.174629i	−0.519448	+	0.854502i	$0.673862\pi$
$242$	5.97913	−	11.3923i	0.384353	−	0.732323i
$243$	−0.987050	+	0.160411i	−0.0633193	+	0.0102904i
$244$	17.0856	−	10.8042i	1.09379	−	0.691671i
$245$	4.66967	−	2.21579i	0.298334	−	0.141561i
$246$	2.46328	−	3.56867i	0.157053	−	0.227530i
$247$	−6.14833	−	1.15699i	−0.391209	−	0.0736174i
$248$	−6.72973	−	9.74969i	−0.427338	−	0.619106i
$249$	3.49573	+	2.01826i	0.221533	+	0.127902i
$250$	10.9514	+	23.0796i	0.692628	+	1.45968i
$251$	0.824971	+	0.275416i	0.0520717	+	0.0173841i	0.342585	−	0.939487i	$-0.388698\pi$
$251$	0.824971	+	0.275416i	0.0520717	+	0.0173841i	−0.290513	+	0.956871i	$0.593826\pi$
$252$	2.50479	−	10.1624i	0.157787	−	0.640168i
$253$	18.5138	−	0.746082i	1.16395	−	0.0469057i
$254$	−13.9520	+	0.562245i	−0.875425	+	0.0352784i
$255$	1.52472	−	6.18601i	0.0954814	−	0.387383i
$256$	−14.0760	−	4.69925i	−0.879748	−	0.293703i
$257$	4.43016	+	9.33637i	0.276346	+	0.582387i	0.993409	−	0.114621i	$-0.0365655\pi$
$257$	4.43016	+	9.33637i	0.276346	+	0.582387i	−0.717063	+	0.697008i	$0.754514\pi$
$258$	2.80929	+	1.62194i	0.174899	+	0.100978i
$259$	−22.3079	−	32.3185i	−1.38614	−	2.00818i
$260$	−6.49618	−	14.6194i	−0.402876	−	0.906656i
$261$	−1.30527	+	1.89100i	−0.0807939	+	0.117050i
$262$	36.7691	−	17.4472i	2.27160	−	1.07789i
$263$	−16.3825	+	10.3597i	−1.01019	+	0.638805i	−0.933622	−	0.358259i	$-0.883370\pi$
$263$	−16.3825	+	10.3597i	−1.01019	+	0.638805i	−0.0765674	+	0.997064i	$0.524396\pi$
$264$	−6.22882	+	1.01228i	−0.383357	+	0.0623017i
$265$	3.16953	−	6.03903i	0.194703	−	0.370975i
$266$	−10.0330	−	8.19169i	−0.615162	−	0.502265i
$267$	0.595480	−	0.571966i	0.0364428	−	0.0350038i
$268$		−	48.2854i		−	2.94950i
$269$	0.583234	+	0.607211i	0.0355604	+	0.0370223i	0.738745	−	0.673985i	$-0.235419\pi$
$269$	0.583234	+	0.607211i	0.0355604	+	0.0370223i	−0.703185	+	0.711007i	$0.748239\pi$
$270$	−3.00157	+	1.00207i	−0.182669	+	0.0609840i
$271$	−0.893148	−	11.0636i	−0.0542549	−	0.672067i	−0.965534	−	0.260278i	$-0.916186\pi$
$271$	−0.893148	−	11.0636i	−0.0542549	−	0.672067i	0.911279	−	0.411790i	$-0.135096\pi$
$272$	−0.787120	+	0.194008i	−0.0477262	+	0.0117634i
$273$	−9.81891	−	6.55686i	−0.594267	−	0.396839i
$274$	−29.2986	−	7.22147i	−1.77000	−	0.436265i
$275$	1.14077	−	7.01946i	0.0687912	−	0.423289i
$276$	16.1843	+	19.8222i	0.974181	+	1.19315i
$277$	19.0483	−	14.3138i	1.14450	−	0.860035i	0.152754	−	0.988264i	$-0.451186\pi$
$277$	19.0483	−	14.3138i	1.14450	−	0.860035i	0.991745	+	0.128229i	$0.0409293\pi$
$278$	−23.1259	+	26.1037i	−1.38700	+	1.56560i
$279$	0.696918	+	4.28831i	0.0417234	+	0.256734i
$280$	0.997433	−	12.3554i	0.0596080	−	0.738378i
$281$	−0.845917	−	3.43202i	−0.0504632	−	0.204737i	0.940299	−	0.340350i	$-0.110546\pi$
$281$	−0.845917	−	3.43202i	−0.0504632	−	0.204737i	−0.990762	+	0.135613i	$0.956700\pi$
$282$	6.34164	+	21.8939i	0.377639	+	1.30376i
$283$	3.75961	+	18.4158i	0.223486	+	1.09470i	0.924390	+	0.381449i	$0.124575\pi$
$283$	3.75961	+	18.4158i	0.223486	+	1.09470i	−0.700904	+	0.713256i	$0.747220\pi$
$284$	−12.4481	+	10.1636i	−0.738661	+	0.603098i
$285$	−0.290343	+	2.39119i	−0.0171984	+	0.141642i
$286$	−3.51758	+	18.6927i	−0.207999	+	1.10532i
$287$	−0.750854	−	6.18384i	−0.0443215	−	0.365021i
$288$	4.22354	+	4.05676i	0.248874	+	0.239047i
$289$	2.81504	−	2.93076i	0.165590	−	0.172398i
$290$	−3.11703	+	6.56900i	−0.183038	+	0.385745i
$291$	−6.26993	+	4.32782i	−0.367550	+	0.253701i
$292$	−7.01414	+	11.0920i	−0.410472	+	0.649109i
$293$	−1.98158	−	2.63701i	−0.115765	−	0.154055i	0.737841	−	0.674975i	$-0.235846\pi$
$293$	−1.98158	−	2.63701i	−0.115765	−	0.154055i	−0.853606	+	0.520919i	$0.825589\pi$
$294$	−3.94430	−	7.51524i	−0.230036	−	0.438297i
$295$	2.30843	−	11.3074i	0.134402	−	0.658344i
$296$	−32.5940	+	2.63126i	−1.89449	+	0.152939i
$297$	2.22290	+	0.643870i	0.128985	+	0.0373611i
$298$	44.0566	+	23.1227i	2.55213	+	1.33946i
$299$	27.2379	−	9.56139i	1.57521	−	0.552950i
$300$	8.69669	−	4.56437i	0.502104	−	0.263524i
$301$	4.56583	−	0.932121i	0.263170	−	0.0537266i
$302$	−41.6442	−	31.2936i	−2.39635	−	1.80074i
$303$	−0.191805	−	4.75960i	−0.0110189	−	0.273432i
$304$	0.286577	−	0.108684i	0.0164363	−	0.00623347i
$305$	−8.43324	+	2.44272i	−0.482886	+	0.139870i
$306$	−10.2505	−	2.09265i	−0.585981	−	0.119629i
$307$	−13.0137	−	14.6894i	−0.742728	−	0.838367i	0.248760	−	0.968565i	$-0.419977\pi$
$307$	−13.0137	−	14.6894i	−0.742728	−	0.838367i	−0.991488	+	0.130198i	$0.958439\pi$
$308$	−15.3193	+	18.7627i	−0.872895	+	1.06910i
$309$	−0.419056	+	10.3988i	−0.0238393	+	0.591565i
$310$	4.35356	+	13.0405i	0.247266	+	0.740651i
$311$	5.24128	−	4.64337i	0.297206	−	0.263301i	−0.501320	−	0.865262i	$-0.667152\pi$
$311$	5.24128	−	4.64337i	0.297206	−	0.263301i	0.798526	+	0.601961i	$0.205614\pi$
$312$	−8.81650	+	4.35085i	−0.499136	+	0.246318i
$313$	13.8266	+	12.2493i	0.781525	+	0.692371i	0.956348	−	0.292229i	$-0.0943970\pi$
$313$	13.8266	+	12.2493i	0.781525	+	0.692371i	−0.174823	+	0.984600i	$0.555935\pi$
$314$	−8.27228	+	19.4157i	−0.466832	+	1.09569i
$315$	−2.27293	+	3.93682i	−0.128065	+	0.221815i
$316$	17.0772	+	29.5786i	0.960669	+	1.66393i
$317$	10.9862	−	1.33397i	0.617046	−	0.0749230i	0.193955	−	0.981010i	$-0.437868\pi$
$317$	10.9862	−	1.33397i	0.617046	−	0.0749230i	0.423091	+	0.906087i	$0.360945\pi$
$318$	−10.1181	−	4.80109i	−0.567394	−	0.269232i
$319$	4.60517	−	2.65879i	0.257840	−	0.148864i
$320$	14.8476	+	10.2486i	0.830007	+	0.572912i
$321$	−5.72088	+	2.43744i	−0.319308	+	0.136045i
$322$	58.9906	+	9.58690i	3.28742	+	0.534257i
$323$	−4.78407	+	6.36644i	−0.266193	+	0.354238i
$324$	1.13339	+	2.98851i	0.0629663	+	0.166029i
$325$	−1.50449	−	10.9769i	−0.0834541	−	0.608891i
$326$	−7.19476	+	18.9710i	−0.398481	+	1.05071i
$327$	−0.381271	−	0.602932i	−0.0210843	−	0.0333422i
$328$	−4.77203	−	2.03317i	−0.263491	−	0.112263i
$329$	27.6753	+	17.5008i	1.52579	+	0.964852i
$330$	7.26991	+	0.882727i	0.400196	+	0.0485925i
$331$	−1.65668	−	3.88837i	−0.0910594	−	0.213724i	0.868222	−	0.496175i	$-0.165263\pi$
$331$	−1.65668	−	3.88837i	−0.0910594	−	0.213724i	−0.959282	+	0.282451i	$0.908852\pi$
$332$	4.08552	−	12.2376i	0.224222	−	0.671626i
$333$	11.2128	+	4.25246i	0.614459	+	0.233033i
$334$	11.1052	+	0.896502i	0.607648	+	0.0490544i
$335$	−5.83465	+	20.1435i	−0.318781	+	1.10056i
$336$	0.577953	+	0.0232907i	0.0315299	+	0.00127061i
$337$	14.6936			0.800413			0.400206	−	0.916425i	$-0.368938\pi$
$337$	14.6936			0.800413			0.400206	+	0.916425i	$0.368938\pi$
$338$	3.29184	+	29.4504i	0.179052	+	1.60189i
$339$	10.4580			0.567998
$340$	−20.3471	−	0.819958i	−1.10347	−	0.0444685i
$341$	2.79734	−	9.65752i	0.151484	−	0.522984i
$342$	3.94253	+	0.318274i	0.213188	+	0.0172103i
$343$	10.0327	+	3.80489i	0.541713	+	0.205445i
$344$	1.22879	−	3.68069i	0.0662521	−	0.198449i
$345$	−4.35646	−	10.2250i	−0.234544	−	0.550495i
$346$	−35.3594	−	4.29341i	−1.90093	−	0.230815i
$347$	−11.0415	−	6.98223i	−0.592739	−	0.374826i	0.204160	−	0.978937i	$-0.434554\pi$
$347$	−11.0415	−	6.98223i	−0.592739	−	0.374826i	−0.796900	+	0.604112i	$0.793528\pi$
$348$	6.75640	+	2.87863i	0.362181	+	0.154311i
$349$	9.89637	+	15.6499i	0.529741	+	0.837718i	0.998971	−	0.0453581i	$-0.0144429\pi$
$349$	9.89637	+	15.6499i	0.529741	+	0.837718i	−0.469230	+	0.883076i	$0.655469\pi$
$350$	8.13400	−	21.4476i	0.434780	−	1.14642i
$351$	3.60512	−	0.0554512i	0.192427	−	0.00295976i
$352$	−4.80593	−	12.6722i	−0.256157	−	0.675430i
$353$	−4.58558	+	6.10230i	−0.244066	+	0.324792i	−0.904808	−	0.425821i	$-0.859985\pi$
$353$	−4.58558	+	6.10230i	−0.244066	+	0.324792i	0.660742	+	0.750613i	$0.270242\pi$
$354$	−18.7052	−	3.03990i	−0.994172	−	0.161569i
$355$	6.42120	−	2.73582i	0.340802	−	0.145202i
$356$	−2.17189	−	1.49915i	−0.115110	−	0.0794545i
$357$	−13.0156	+	7.51454i	−0.688857	+	0.397712i
$358$	−7.46573	−	3.54253i	−0.394576	−	0.187229i
$359$	−0.198152	+	0.0240600i	−0.0104581	+	0.00126984i	−0.125764	−	0.992060i	$-0.540138\pi$
$359$	−0.198152	+	0.0240600i	−0.0104581	+	0.00126984i	0.115306	+	0.993330i	$0.463215\pi$
$360$	1.89266	+	3.27819i	0.0997521	+	0.172776i
$361$	−7.99459	+	13.8470i	−0.420768	+	0.728792i
$362$	10.1784	−	23.8896i	0.534966	−	1.25561i
$363$	4.22472	+	3.74277i	0.221740	+	0.196445i
$364$	−14.2561	+	34.9411i	−0.747225	+	1.83141i
$365$	4.26645	−	3.77975i	0.223316	−	0.197841i
$366$	4.56548	+	13.6753i	0.238641	+	0.714818i
$367$	0.00885907	−	0.219836i	0.000462440	−	0.0114753i	−0.998941	−	0.0460029i	$-0.985352\pi$
$367$	0.00885907	−	0.219836i	0.000462440	−	0.0114753i	0.999404	+	0.0345276i	$0.0109927\pi$
$368$	−0.894413	+	1.09546i	−0.0466245	+	0.0571047i
$369$	1.26144	+	1.42387i	0.0656678	+	0.0741236i
$370$	37.1811	+	7.59058i	1.93296	+	0.394616i
$371$	−15.4533	+	4.47610i	−0.802294	+	0.232387i
$372$	12.9838	−	4.92411i	0.673179	−	0.255303i
$373$	0.276375	+	6.85817i	0.0143101	+	0.355102i	0.990443	+	0.137926i	$0.0440436\pi$
$373$	0.276375	+	6.85817i	0.0143101	+	0.355102i	−0.976132	+	0.217176i	$0.930315\pi$
$374$	19.3558	+	14.5450i	1.00087	+	0.752103i
$375$	−10.9803	+	2.24164i	−0.567020	+	0.115758i
$376$	24.1431	−	12.6713i	1.24509	−	0.653472i
$377$	5.64639	−	6.06245i	0.290804	−	0.312232i
$378$	6.60960	+	3.46899i	0.339961	+	0.178426i
$379$	−13.3768	−	3.87465i	−0.687122	−	0.199027i	−0.0837497	−	0.996487i	$-0.526690\pi$
$379$	−13.3768	−	3.87465i	−0.687122	−	0.199027i	−0.603373	+	0.797459i	$0.706177\pi$
$380$	7.67392	−	0.619503i	0.393664	−	0.0317798i
$381$	1.22527	−	6.00175i	0.0627723	−	0.307479i
$382$	−17.7562	−	33.8317i	−0.908488	−	1.73098i
$383$	5.36609	+	7.14096i	0.274194	+	0.364886i	0.915444	−	0.402446i	$-0.131840\pi$
$383$	5.36609	+	7.14096i	0.274194	+	0.364886i	−0.641249	+	0.767333i	$0.721584\pi$
$384$	9.57363	−	15.1395i	0.488552	−	0.772584i
$385$	8.65805	−	5.97622i	0.441255	−	0.304576i
$386$	−25.7950	+	54.3618i	−1.31293	+	2.76694i
$387$	−0.985785	+	1.02631i	−0.0501103	+	0.0521703i
$388$	17.5616	+	16.8682i	0.891556	+	0.856351i
$389$	−0.748376	−	6.16343i	−0.0379442	−	0.312498i	−0.999307	−	0.0372150i	$-0.988151\pi$
$389$	−0.748376	−	6.16343i	−0.0379442	−	0.312498i	0.961363	−	0.275283i	$-0.0887717\pi$
$390$	11.2322	−	2.00319i	0.568767	−	0.101435i
$391$	4.42916	−	36.4774i	0.223992	−	1.84474i
$392$	−7.86440	+	6.42108i	−0.397212	+	0.324314i
$393$	3.57125	+	17.4932i	0.180146	+	0.882413i
$394$	11.1955	+	38.6514i	0.564022	+	1.94723i
$395$	−3.55004	−	14.4031i	−0.178622	−	0.724697i
$396$	0.595203	−	7.37291i	0.0299101	−	0.370503i
$397$	5.30179	+	32.6232i	0.266089	+	1.63731i	0.684470	+	0.729041i	$0.260034\pi$
$397$	5.30179	+	32.6232i	0.266089	+	1.63731i	−0.418380	+	0.908272i	$0.637402\pi$
$398$	−25.4328	+	28.7077i	−1.27483	+	1.43899i
$399$	4.54249	−	3.41346i	0.227409	−	0.170887i
$400$	0.343284	+	0.420447i	0.0171642	+	0.0210224i
$401$	1.90513	−	11.7227i	0.0951374	−	0.585404i	−0.895084	−	0.445898i	$-0.852884\pi$
$401$	1.90513	−	11.7227i	0.0951374	−	0.585404i	0.990221	−	0.139506i	$-0.0445515\pi$
$402$	33.4362	+	8.24128i	1.66765	+	0.411038i
$403$	−0.240911	−	15.6627i	−0.0120007	−	0.780215i
$404$	−14.7827	+	3.64360i	−0.735464	+	0.181276i
$405$	−0.111703	−	1.38369i	−0.00555058	−	0.0687562i
$406$	16.2691	−	5.43143i	0.807422	−	0.269557i
$407$	−19.2251	−	20.0155i	−0.952955	−	0.992131i
$408$			12.5147i			0.619570i
$409$	13.2483	−	12.7251i	0.655085	−	0.629218i	−0.289619	−	0.957142i	$-0.593529\pi$
$409$	13.2483	−	12.7251i	0.655085	−	0.629218i	0.944704	+	0.327924i	$0.106349\pi$
$410$	4.66279	+	3.80705i	0.230279	+	0.188017i
$411$	6.15184	−	11.7214i	0.303448	−	0.578172i
$412$	32.8329	−	5.33587i	1.61756	−	0.262879i
$413$	−23.0091	+	14.5501i	−1.13220	+	0.715963i
$414$	−16.4886	+	7.82392i	−0.810369	+	0.384525i
$415$	−3.18313	+	4.61156i	−0.156254	+	0.226373i
$416$	−12.9428	−	16.6831i	−0.634572	−	0.817959i
$417$	−8.69078	−	12.5908i	−0.425589	−	0.616572i
$418$	−7.92738	−	4.57687i	−0.387741	−	0.223862i
$419$	5.46150	+	11.5099i	0.266812	+	0.562294i	0.991997	−	0.126260i	$-0.0402972\pi$
$419$	5.46150	+	11.5099i	0.266812	+	0.562294i	−0.725185	+	0.688554i	$0.758246\pi$
$420$	13.7818	+	4.60103i	0.672482	+	0.224507i
$421$	−0.761052	+	3.08771i	−0.0370914	+	0.150486i	−0.986568	−	0.163353i	$-0.947769\pi$
$421$	−0.761052	+	3.08771i	−0.0370914	+	0.150486i	0.949476	+	0.313839i	$0.101615\pi$
$422$	7.20343	−	0.290288i	0.350657	−	0.0141310i
$423$	−9.99129	+	0.402635i	−0.485793	+	0.0195768i
$424$	−3.20608	+	13.0076i	−0.155701	+	0.631704i
$425$	−13.3774	−	4.46604i	−0.648900	−	0.216635i
$426$	−4.91335	−	10.3547i	−0.238053	−	0.501685i
$427$	17.9364	+	10.3556i	0.868001	+	0.501141i
$428$	11.2906	+	16.3573i	0.545754	+	0.790661i
$429$	−7.59270	−	3.46074i	−0.366579	−	0.167086i
$430$	−2.55808	+	3.70601i	−0.123361	+	0.178720i
$431$	−10.2175	+	4.84825i	−0.492158	+	0.233532i	−0.658563	−	0.752526i	$-0.728835\pi$
$431$	−10.2175	+	4.84825i	−0.492158	+	0.233532i	0.166405	+	0.986057i	$0.446784\pi$
$432$	−0.149291	+	0.0944061i	−0.00718278	+	0.00454212i
$433$	−29.1409	+	4.73586i	−1.40042	+	0.227591i	−0.813270	−	0.581886i	$-0.802315\pi$
$433$	−29.1409	+	4.73586i	−1.40042	+	0.227591i	−0.587152	+	0.809477i	$0.699751\pi$
$434$	15.0713	−	28.7159i	0.723443	−	1.37841i
$435$	−2.47077	−	2.01732i	−0.118464	−	0.0967230i
$436$	−1.64440	+	1.57947i	−0.0787524	+	0.0756427i
$437$			13.8924i			0.664563i
$438$	−6.48370	−	6.75024i	−0.309803	−	0.322539i
$439$	7.72521	−	2.57905i	0.368704	−	0.123091i	−0.126278	−	0.991995i	$-0.540303\pi$
$439$	7.72521	−	2.57905i	0.368704	−	0.123091i	0.494982	+	0.868903i	$0.335175\pi$
$440$	−0.704908	−	8.73185i	−0.0336052	−	0.416275i
$441$	3.61514	−	0.891052i	0.172150	−	0.0424311i
$442$	35.4713	+	12.8320i	1.68720	+	0.610357i
$443$	−3.05643	−	0.753342i	−0.145215	−	0.0357923i	0.166038	−	0.986119i	$-0.446903\pi$
$443$	−3.05643	−	0.753342i	−0.145215	−	0.0357923i	−0.311253	+	0.950327i	$0.600749\pi$
$444$	6.14846	−	37.8330i	0.291793	−	1.79548i
$445$	0.724908	+	0.887851i	0.0343639	+	0.0420882i
$446$	−13.4643	+	10.1177i	−0.637552	+	0.479089i
$447$	−14.4742	+	16.3380i	−0.684606	+	0.772761i
$448$	−6.82676	−	42.0068i	−0.322534	−	1.98463i
$449$	1.49510	−	18.5202i	0.0705582	−	0.874021i	−0.860571	−	0.509331i	$-0.829893\pi$
$449$	1.49510	−	18.5202i	0.0705582	−	0.874021i	0.931129	−	0.364690i	$-0.118825\pi$
$450$	1.67635	+	6.80123i	0.0790241	+	0.320613i
$451$	−1.22481	−	4.22854i	−0.0576742	−	0.199114i
$452$	−6.68603	−	32.7504i	−0.314485	−	1.54045i
$453$	17.7012	−	14.4526i	0.831677	−	0.679043i
$454$	6.23143	−	51.3204i	0.292456	−	2.40859i
$455$	10.1695	−	12.8539i	0.476753	−	0.602601i
$456$	−0.570314	−	4.69696i	−0.0267074	−	0.219955i
$457$	−20.7332	−	19.9145i	−0.969859	−	0.931562i	0.0278230	−	0.999613i	$-0.491143\pi$
$457$	−20.7332	−	19.9145i	−0.969859	−	0.931562i	−0.997682	+	0.0680508i	$0.978322\pi$
$458$	−39.4333	+	41.0544i	−1.84260	+	1.91835i
$459$	1.96749	−	4.14641i	0.0918348	−	0.193538i
$460$	−29.2356	+	20.1799i	−1.36312	+	0.940893i
$461$	−8.08885	+	12.7915i	−0.376735	+	0.595759i	−0.979325	−	0.202292i	$-0.935161\pi$
$461$	−8.08885	+	12.7915i	−0.376735	+	0.595759i	0.602590	+	0.798051i	$0.294135\pi$
$462$	−10.3779	−	13.8105i	−0.482824	−	0.642523i
$463$	−6.95936	−	13.2600i	−0.323429	−	0.616242i	0.668402	−	0.743800i	$-0.266978\pi$
$463$	−6.95936	−	13.2600i	−0.323429	−	0.616242i	−0.991831	+	0.127558i	$0.959286\pi$
$464$	−0.0811834	+	0.397663i	−0.00376884	+	0.0184610i
$465$	−6.01155	+	0.485302i	−0.278779	+	0.0225054i
$466$	−54.0800	−	15.6645i	−2.50521	−	0.725642i
$467$	−25.0186	−	13.1308i	−1.15772	−	0.607619i	−0.227197	−	0.973849i	$-0.572956\pi$
$467$	−25.0186	−	13.1308i	−1.15772	−	0.607619i	−0.930524	+	0.366230i	$0.880648\pi$
$468$	−2.47850	−	11.2544i	−0.114569	−	0.520237i
$469$	43.8038	−	22.9900i	2.02267	−	1.06158i
$470$	−31.0028	+	6.32927i	−1.43005	+	0.291947i
$471$	−7.40150	−	5.56187i	−0.341043	−	0.256277i
$472$	0.912791	+	22.6507i	0.0420146	+	1.04258i
$473$	3.07932	−	1.16783i	0.141587	−	0.0536969i
$474$	−23.3970	+	6.77703i	−1.07466	+	0.311279i
$475$	5.22427	+	1.06654i	0.239706	+	0.0489364i
$476$	31.8539	+	35.9556i	1.46002	+	1.64802i
$477$	3.10723	−	3.80566i	0.142270	−	0.174249i
$478$	0.599036	−	14.8649i	0.0273993	−	0.679906i
$479$	0.299579	+	0.897350i	0.0136881	+	0.0410010i	0.955159	−	0.296094i	$-0.0956840\pi$
$479$	0.299579	+	0.897350i	0.0136881	+	0.0410010i	−0.941471	+	0.337095i	$0.890556\pi$
$480$	−6.08510	+	5.39092i	−0.277745	+	0.246061i
$481$	−37.7734	−	21.0406i	−1.72232	−	0.959371i
$482$	7.31381	+	6.47947i	0.333135	+	0.295132i
$483$	−10.2766	+	24.1200i	−0.467601	+	1.09750i
$484$	9.01999	−	15.6231i	0.409999	−	0.710140i
$485$	−5.28800	−	9.15909i	−0.240116	−	0.415893i
$486$	−2.26290	+	0.274766i	−0.102647	+	0.0124636i
$487$	8.67589	+	4.11676i	0.393142	+	0.186548i	0.614993	−	0.788532i	$-0.289159\pi$
$487$	8.67589	+	4.11676i	0.393142	+	0.186548i	−0.221851	+	0.975081i	$0.571210\pi$
$488$	14.9356	−	8.62307i	0.676102	−	0.390348i
$489$	−7.32520	−	5.05622i	−0.331257	−	0.228650i
$490$	10.8394	−	4.61822i	0.489673	−	0.208630i
$491$	40.3511	+	6.55769i	1.82102	+	0.295945i	0.972445	−	0.233131i	$-0.0748970\pi$
$491$	40.3511	+	6.55769i	1.82102	+	0.295945i	0.848575	+	0.529075i	$0.177461\pi$
$492$	3.65255	−	4.86066i	0.164670	−	0.219135i
$493$	−3.73950	−	9.86025i	−0.168419	−	0.444083i
$494$	−13.8977	−	3.19958i	−0.625286	−	0.143956i
$495$	−1.13922	+	3.00388i	−0.0512042	+	0.135014i
$496$	0.410154	+	0.648606i	0.0184165	+	0.0291233i
$497$	−15.1472	−	6.45360i	−0.679443	−	0.289484i
$498$	7.77687	+	4.91779i	0.348490	+	0.220372i
$499$	20.3633	+	2.47256i	0.911588	+	0.110687i	0.562874	−	0.826542i	$-0.309695\pi$
$499$	20.3633	+	2.47256i	0.911588	+	0.110687i	0.348714	+	0.937229i	$0.386619\pi$
$500$	14.0400	+	32.9530i	0.627886	+	1.47370i
$501$	−1.54773	+	4.63603i	−0.0691476	+	0.207122i
$502$	1.85373	+	0.703028i	0.0827362	+	0.0313777i
$503$	40.1592	+	3.24199i	1.79061	+	0.144553i	0.930674	−	0.365848i	$-0.119221\pi$
$503$	40.1592	+	3.24199i	1.79061	+	0.144553i	0.859936	+	0.510401i	$0.170503\pi$
$504$	2.48429	−	8.57677i	0.110659	−	0.382040i
$505$	6.60725	+	0.266263i	0.294019	+	0.0118486i
$506$	42.2369			1.87766
$507$	−12.8897	−	1.68972i	−0.572452	−	0.0750431i
$508$	−19.5785			−0.868658
$509$	−40.3902	−	1.62767i	−1.79026	−	0.0721452i	−0.877240	−	0.480052i	$-0.840618\pi$
$509$	−40.3902	−	1.62767i	−1.79026	−	0.0721452i	−0.913024	+	0.407907i	$0.866259\pi$
$510$	4.04060	−	13.9498i	0.178921	−	0.617706i
$511$	−13.4021	−	1.08193i	−0.592874	−	0.0478617i
$512$	1.86791	+	0.708405i	0.0825507	+	0.0313074i
$513$	−0.549473	+	1.64587i	−0.0242598	+	0.0726670i
$514$	9.23350	+	21.6718i	0.407272	+	0.955903i
$515$	−14.3419	−	1.74142i	−0.631979	−	0.0767361i
$516$	3.84426	+	2.43096i	0.169234	+	0.107017i
$517$	21.2895	+	9.07061i	0.936311	+	0.398925i
$518$	−47.8436	−	75.6586i	−2.10213	−	3.32425i
$519$	5.54095	−	14.6103i	0.243221	−	0.641321i
$520$	−5.03540	−	12.6853i	−0.220817	−	0.556289i
$521$	−12.3067	−	32.4502i	−0.539168	−	1.42167i	−0.877013	−	0.480467i	$-0.840467\pi$
$521$	−12.3067	−	32.4502i	−0.539168	−	1.42167i	0.337845	−	0.941202i	$-0.390302\pi$
$522$	−3.14654	+	4.18728i	−0.137720	+	0.183272i
$523$	−10.5151	−	1.70887i	−0.459794	−	0.0747238i	−0.0738973	−	0.997266i	$-0.523544\pi$
$523$	−10.5151	−	1.70887i	−0.459794	−	0.0747238i	−0.385896	+	0.922542i	$0.626108\pi$
$524$	52.4988	−	22.3676i	2.29342	−	0.977135i
$525$	8.28146	+	5.71628i	0.361433	+	0.249479i
$526$	−38.2649	+	22.0922i	−1.66843	+	0.963268i
$527$	−18.0143	−	8.54791i	−0.784717	−	0.372353i
$528$	0.405803	−	0.0492735i	0.0176603	−	0.00214435i
$529$	−20.5509	−	35.5952i	−0.893516	−	1.54762i
$530$	7.77345	−	13.4640i	0.337657	−	0.584839i
$531$	3.25859	−	7.64819i	0.141411	−	0.331903i
$532$	−13.5938	−	12.0431i	−0.589366	−	0.522133i
$533$	−3.75447	−	5.73986i	−0.162624	−	0.248621i
$534$	1.40881	−	1.24809i	0.0609650	−	0.0540103i
$535$	−2.73362	−	8.18821i	−0.118185	−	0.354007i
$536$	1.65871	−	41.1605i	0.0716455	−	1.77786i
$537$	2.29270	−	2.80805i	0.0989374	−	0.121176i
$538$	1.27268	+	1.43656i	0.0548693	+	0.0619346i
$539$	−8.44265	−	1.72358i	−0.363651	−	0.0742398i
$540$	−4.26179	+	1.23444i	−0.183398	+	0.0531219i
$541$	23.1306	−	8.77229i	0.994463	−	0.377150i	0.196925	−	0.980419i	$-0.436904\pi$
$541$	23.1306	−	8.77229i	0.994463	−	0.377150i	0.797538	+	0.603268i	$0.206135\pi$
$542$	−1.01880	−	25.2813i	−0.0437612	−	1.08592i
$543$	9.10699	+	6.84346i	0.390818	+	0.293681i
$544$	−26.3342	+	5.37616i	−1.12907	+	0.230501i
$545$	0.876861	−	0.460212i	0.0375606	−	0.0197133i
$546$	−21.7624	−	15.8356i	−0.931345	−	0.677702i
$547$	−20.8703	−	10.9536i	−0.892349	−	0.468341i	−0.0447619	−	0.998998i	$-0.514253\pi$
$547$	−20.8703	−	10.9536i	−0.892349	−	0.468341i	−0.847587	+	0.530657i	$0.821945\pi$
$548$	−40.6399	−	11.7715i	−1.73605	−	0.502853i
$549$	−6.30417	+	0.508925i	−0.269055	+	0.0217204i
$550$	3.24260	−	15.8833i	0.138265	−	0.677267i
$551$	1.85284	+	3.53029i	0.0789335	+	0.150395i
$552$	13.1152	+	17.4532i	0.558222	+	0.742858i
$553$	−18.7024	+	29.5754i	−0.795305	+	1.25767i
$554$	44.6995	−	30.8538i	1.89910	−	1.31085i
$555$	−7.13661	+	15.0401i	−0.302932	+	0.638416i
$556$	−33.8733	+	35.2658i	−1.43655	+	1.49560i
$557$	29.7846	+	28.6085i	1.26201	+	1.21218i	0.966449	+	0.256859i	$0.0826876\pi$
$557$	29.7846	+	28.6085i	1.26201	+	1.21218i	0.295566	+	0.955322i	$0.404492\pi$
$558$	1.19374	+	9.83133i	0.0505350	+	0.416193i
$559$	4.05397	−	3.14507i	0.171465	−	0.133022i
$560$	−0.0967865	+	0.797108i	−0.00408997	+	0.0336840i
$561$	−8.22738	+	6.71744i	−0.347360	+	0.283611i
$562$	−1.61171	−	7.89466i	−0.0679858	−	0.333016i
$563$	−10.2066	−	35.2374i	−0.430158	−	1.48508i	−0.824366	−	0.566058i	$-0.808468\pi$
$563$	−10.2066	−	35.2374i	−0.430158	−	1.48508i	0.394207	−	0.919022i	$-0.371019\pi$
$564$	7.64858	+	31.0315i	0.322063	+	1.30666i
$565$	−1.16819	+	14.4706i	−0.0491460	+	0.608782i
$566$	6.87283	+	42.2902i	0.288887	+	1.77759i
$567$	−2.17149	+	2.45111i	−0.0911942	+	0.102937i
$568$	−10.9605	+	8.23625i	−0.459890	+	0.345585i
$569$	−24.0828	−	29.4961i	−1.00960	−	1.23654i	−0.971444	−	0.237269i	$-0.923748\pi$
$569$	−24.0828	−	29.4961i	−1.00960	−	1.23654i	−0.0381606	−	0.999272i	$-0.512150\pi$
$570$	−0.880786	+	5.41970i	−0.0368921	+	0.227006i
$571$	−21.8187	−	5.37782i	−0.913083	−	0.225055i	−0.245332	−	0.969439i	$-0.578897\pi$
$571$	−21.8187	−	5.37782i	−0.913083	−	0.225055i	−0.667751	+	0.744385i	$0.732743\pi$
$572$	−5.98352	+	25.9900i	−0.250184	+	1.08670i
$573$	16.2744	−	4.01129i	0.679875	−	0.167574i
$574$	−1.14260	−	14.1537i	−0.0476913	−	0.590763i
$575$	−23.3367	+	7.79094i	−0.973208	+	0.324905i
$576$	9.00276	+	9.37286i	0.375115	+	0.390536i
$577$			4.49284i			0.187040i	0.995617	+	0.0935198i	$0.0298118\pi$
$577$			4.49284i			0.187040i	−0.995617	+	0.0935198i	$0.970188\pi$
$578$	6.68074	−	6.41694i	0.277882	−	0.266909i
$579$	−20.4468	−	16.6943i	−0.849742	−	0.693792i
$580$	−4.73785	+	9.02723i	−0.196729	+	0.374835i
$581$	13.0470	−	2.12034i	0.541281	−	0.0879667i
$582$	−14.6781	+	9.28186i	−0.608426	+	0.384745i
$583$	−10.2723	+	4.87427i	−0.425436	+	0.201872i
$584$	−6.36018	+	9.21431i	−0.263186	+	0.381291i
$585$	−0.325977	+	4.99458i	−0.0134775	+	0.206500i
$586$	−4.27135	−	6.18812i	−0.176448	−	0.255629i
$587$	34.7683	+	20.0735i	1.43504	+	0.828522i	0.997499	−	0.0706759i	$-0.0225156\pi$
$587$	34.7683	+	20.0735i	1.43504	+	0.828522i	0.437543	+	0.899198i	$0.355849\pi$
$588$	−5.10169	−	10.7516i	−0.210390	−	0.443388i
$589$	7.15060	+	2.38722i	0.294635	+	0.0983637i
$590$	6.29572	−	25.5427i	0.259191	−	1.05158i
$591$	−17.6386	+	0.710811i	−0.725555	+	0.0292389i
$592$	2.11653	−	0.0852931i	0.0869887	−	0.00350552i
$593$	8.23712	−	33.4193i	0.338258	−	1.37237i	−0.517807	−	0.855498i	$-0.673251\pi$
$593$	8.23712	−	33.4193i	0.338258	−	1.37237i	0.856065	−	0.516869i	$-0.172902\pi$
$594$	5.00393	+	1.67056i	0.205314	+	0.0685438i
$595$	−8.94393	−	18.8489i	−0.366666	−	0.772731i
$596$	60.4182	+	34.8824i	2.47482	+	1.42884i
$597$	−9.55773	−	13.8468i	−0.391172	−	0.566710i
$598$	62.9166	−	19.2776i	2.57285	−	0.788321i
$599$	13.6724	−	19.8080i	0.558641	−	0.809331i	−0.437302	−	0.899315i	$-0.644066\pi$
$599$	13.6724	−	19.8080i	0.558641	−	0.809331i	0.995943	+	0.0899832i	$0.0286813\pi$
$600$	7.57022	−	3.59211i	0.309053	−	0.146647i
$601$	29.2340	−	18.4864i	1.19248	−	0.754078i	0.217432	−	0.976076i	$-0.430232\pi$
$601$	29.2340	−	18.4864i	1.19248	−	0.754078i	0.975047	+	0.221998i	$0.0712577\pi$
$602$	10.4850	−	1.70398i	0.427338	−	0.0694492i
$603$	−7.02060	+	13.3766i	−0.285901	+	0.544739i
$604$	−56.5770	−	46.1937i	−2.30209	−	1.87960i
$605$	−5.65076	+	5.42763i	−0.229736	+	0.220665i
$606$		−	10.8584i		−	0.441093i
$607$	18.5657	+	19.3290i	0.753559	+	0.784538i	0.981972	−	0.189026i	$-0.0605331\pi$
$607$	18.5657	+	19.3290i	0.753559	+	0.784538i	−0.228413	+	0.973564i	$0.573354\pi$
$608$	9.63862	−	3.21785i	0.390898	−	0.130501i
$609$	0.605455	+	7.49990i	0.0245343	+	0.303911i
$610$	−19.4324	+	4.78965i	−0.786793	+	0.193927i
$611$	35.8531	+	3.79480i	1.45046	+	0.153521i
$612$	−14.2428	−	3.51055i	−0.575733	−	0.141905i
$613$	3.41071	−	20.9869i	0.137757	−	0.847654i	−0.822547	−	0.568698i	$-0.807447\pi$
$613$	3.41071	−	20.9869i	0.137757	−	0.847654i	0.960304	−	0.278956i	$-0.0899885\pi$
$614$	−28.2925	−	34.6521i	−1.14179	−	1.39844i
$615$	−2.11110	+	1.58639i	−0.0851278	+	0.0639694i
$616$	−13.7033	+	15.4678i	−0.552122	+	0.623217i
$617$	2.21369	+	13.6214i	0.0891196	+	0.548375i	0.992763	+	0.120090i	$0.0383182\pi$
$617$	2.21369	+	13.6214i	0.0891196	+	0.548375i	−0.903643	+	0.428286i	$0.859118\pi$
$618$	−1.90894	+	23.6465i	−0.0767890	+	0.951202i
$619$	10.7936	+	43.7914i	0.433831	+	1.76012i	0.627061	+	0.778970i	$0.284258\pi$
$619$	10.7936	+	43.7914i	0.433831	+	1.76012i	−0.193230	+	0.981154i	$0.561896\pi$
$620$	5.36312	+	18.5156i	0.215388	+	0.743606i
$621$	−1.60148	−	7.84455i	−0.0642651	−	0.314791i
$622$	12.3641	−	10.0950i	0.495756	−	0.404772i
$623$	0.325907	−	2.68409i	0.0130572	−	0.107536i
$624$	0.582000	−	0.258614i	0.0232987	−	0.0103528i
$625$	−0.0232148	−	0.191191i	−0.000928591	−	0.00764764i
$626$	30.3681	+	29.1690i	1.21375	+	1.16583i
$627$	2.78174	−	2.89609i	0.111092	−	0.115659i
$628$	−12.6857	+	26.7345i	−0.506215	+	1.06682i
$629$	−45.2954	+	31.2652i	−1.80605	+	1.24662i
$630$	−5.53833	+	8.75816i	−0.220652	+	0.348934i
$631$	5.15083	+	6.85451i	0.205051	+	0.272874i	0.890240	−	0.455492i	$-0.150537\pi$
$631$	5.15083	+	6.85451i	0.205051	+	0.272874i	−0.685188	+	0.728366i	$0.740280\pi$
$632$	13.5413	+	25.8007i	0.538642	+	1.02630i
$633$	−0.632607	+	3.09871i	−0.0251439	+	0.123163i
$634$	25.1454	−	2.02995i	0.998651	−	0.0806194i
$635$	8.16771	+	2.36581i	0.324126	+	0.0938841i
$636$	−13.9044	−	7.29761i	−0.551347	−	0.289369i
$637$	−13.3629	+	1.28590i	−0.529459	+	0.0509493i
$638$	10.7331	−	5.63317i	0.424928	−	0.223019i
$639$	4.92631	−	1.00571i	0.194882	−	0.0397854i
$640$	19.8790	+	14.9381i	0.785786	+	0.590480i
$641$	−0.625988	−	15.5337i	−0.0247250	−	0.613545i	−0.963293	−	0.268451i	$-0.913488\pi$
$641$	−0.625988	−	15.5337i	−0.0247250	−	0.613545i	0.938568	−	0.345094i	$-0.112153\pi$
$642$	−13.2540	+	5.02658i	−0.523094	+	0.198383i
$643$	8.26117	−	2.39288i	0.325789	−	0.0943658i	−0.111293	−	0.993788i	$-0.535499\pi$
$643$	8.26117	−	2.39288i	0.325789	−	0.0943658i	0.437082	+	0.899422i	$0.356012\pi$
$644$	82.1049	+	16.7618i	3.23539	+	0.660509i
$645$	−1.30998	−	1.47867i	−0.0515806	−	0.0582224i
$646$	−11.4809	+	14.0616i	−0.451710	+	0.553244i
$647$	0.866586	−	21.5041i	0.0340690	−	0.845414i	−0.888337	−	0.459192i	$-0.848139\pi$
$647$	0.866586	−	21.5041i	0.0340690	−	0.845414i	0.922406	−	0.386222i	$-0.126220\pi$
$648$	0.863490	+	2.58647i	0.0339211	+	0.101606i
$649$	−14.4010	+	12.7582i	−0.565288	+	0.500801i
$650$	−2.41919	−	25.1400i	−0.0948886	−	0.986070i
$651$	10.6490	+	9.43421i	0.417368	+	0.369756i
$652$	−11.1510	+	26.1723i	−0.436706	+	1.02499i
$653$	−9.22441	+	15.9771i	−0.360979	+	0.625234i	−0.988122	−	0.153670i	$-0.950891\pi$
$653$	−9.22441	+	15.9771i	−0.360979	+	0.625234i	0.627143	+	0.778904i	$0.284224\pi$
$654$	−0.813069	−	1.40828i	−0.0317935	−	0.0550680i
$655$	−24.6041	+	2.98748i	−0.961361	+	0.116730i
$656$	0.303568	+	0.144045i	0.0118523	+	0.00562401i
$657$	3.55590	−	2.05300i	0.138729	−	0.0800951i
$658$	61.4290	+	42.4014i	2.39475	+	1.65298i
$659$	0.819972	−	0.349357i	0.0319416	−	0.0136090i	−0.375937	−	0.926645i	$-0.622679\pi$
$659$	0.819972	−	0.349357i	0.0319416	−	0.0136090i	0.407878	+	0.913036i	$0.366269\pi$
$660$	10.1354	+	1.64716i	0.394518	+	0.0641155i
$661$	−11.6051	+	15.4436i	−0.451386	+	0.600685i	−0.966573	−	0.256393i	$-0.917466\pi$
$661$	−11.6051	+	15.4436i	−0.451386	+	0.600685i	0.515187	+	0.857078i	$0.327722\pi$
$662$	−3.41647	−	9.00850i	−0.132785	−	0.350125i
$663$	−9.18964	+	13.7615i	−0.356896	+	0.534452i
$664$	3.90305	−	10.2915i	0.151468	−	0.399388i
$665$	4.21577	+	6.66671i	0.163481	+	0.258524i
$666$	25.1488	+	10.7149i	0.974496	+	0.415194i
$667$	−15.5486	−	9.83232i	−0.602043	−	0.380709i
$668$	15.5078	+	1.88299i	0.600015	+	0.0728550i
$669$	−2.89602	−	6.79720i	−0.111967	−	0.262795i
$670$	−15.1383	+	45.3449i	−0.584845	+	1.75182i
$671$	13.6858	+	5.19035i	0.528336	+	0.200371i
$672$	19.1150	+	1.54312i	0.737376	+	0.0595271i
$673$	−10.4767	+	36.1697i	−0.403847	+	1.39424i	0.458848	+	0.888515i	$0.348262\pi$
$673$	−10.4767	+	36.1697i	−0.403847	+	1.39424i	−0.862694	+	0.505726i	$0.831225\pi$
$674$	33.4673	+	1.34868i	1.28911	+	0.0519494i
$675$	−3.07292			−0.118277
$676$	2.94916	+	41.4460i	0.113429	+	1.59408i
$677$	−20.6547			−0.793824			−0.396912	−	0.917857i	$-0.629918\pi$
$677$	−20.6547			−0.793824			−0.396912	+	0.917857i	$0.629918\pi$
$678$	23.8198	+	0.959905i	0.914794	+	0.0368649i
$679$	−6.94098	+	23.9630i	−0.266370	+	0.919617i
$680$	−17.3165	−	1.39793i	−0.664058	−	0.0536083i
$681$	21.2053	+	8.04210i	0.812588	+	0.308174i
$682$	7.25785	−	21.7399i	0.277917	−	0.832464i
$683$	−10.1033	−	23.7134i	−0.386594	−	0.907368i	−0.993630	−	0.112694i	$-0.964052\pi$
$683$	−10.1033	−	23.7134i	−0.386594	−	0.907368i	0.607036	−	0.794674i	$-0.292358\pi$
$684$	5.50554	+	0.668493i	0.210510	+	0.0255605i
$685$	15.5316	+	9.82157i	0.593431	+	0.375263i
$686$	22.5019	+	9.58716i	0.859126	+	0.366039i
$687$	−13.3469	−	21.1064i	−0.509214	−	0.805258i
$688$	−0.0891347	+	0.235029i	−0.00339823	+	0.00896039i
$689$	−13.0771	+	11.9492i	−0.498196	+	0.455229i
$690$	−8.98408	−	23.6891i	−0.342018	−	0.901827i
$691$	−16.9141	+	22.5086i	−0.643444	+	0.856268i	−0.996859	−	0.0791984i	$-0.974764\pi$
$691$	−16.9141	+	22.5086i	−0.643444	+	0.856268i	0.353415	+	0.935467i	$0.385020\pi$
$692$	−49.2964	−	8.01144i	−1.87397	−	0.304549i
$693$	6.97199	−	2.97049i	0.264844	−	0.112839i
$694$	−24.5081	−	16.9167i	−0.930313	−	0.642149i
$695$	18.3925	−	10.6189i	0.697669	−	0.402799i
$696$	5.66055	+	2.68596i	0.214563	+	0.101811i
$697$	−8.66684	+	1.05235i	−0.328280	+	0.0398604i
$698$	21.1042	+	36.5536i	0.798807	+	1.38357i
$699$	12.3497	−	21.3904i	0.467110	−	0.809058i
$700$	12.6067	−	29.5890i	0.476488	−	1.11836i
$701$	33.9551	+	30.0816i	1.28247	+	1.13616i	0.983306	+	0.181962i	$0.0582447\pi$
$701$	33.9551	+	30.0816i	1.28247	+	1.13616i	0.299160	+	0.954203i	$0.403294\pi$
$702$	8.21638	+	0.204604i	0.310107	+	0.00772229i
$703$	15.5753	−	13.7985i	0.587432	−	0.520420i
$704$	−9.52429	−	28.5287i	−0.358960	−	1.07522i
$705$	0.558936	−	13.8698i	0.0210507	−	0.522369i
$706$	−11.0046	+	13.4781i	−0.414162	+	0.507256i
$707$	−10.3438	−	11.6758i	−0.389020	−	0.439113i
$708$	−26.0345	−	5.31499i	−0.978438	−	0.199750i
$709$	−20.9606	+	6.07132i	−0.787193	+	0.228013i	−0.647383	−	0.762165i	$-0.724136\pi$
$709$	−20.9606	+	6.07132i	−0.787193	+	0.228013i	−0.139810	+	0.990178i	$0.544649\pi$
$710$	14.8765	−	5.64192i	0.558305	−	0.211737i
$711$	−0.430278	−	10.6772i	−0.0161367	−	0.400428i
$712$	−1.79991	−	1.35254i	−0.0674544	−	0.0506887i
$713$	−34.0812	+	6.95773i	−1.27635	+	0.260569i
$714$	−30.3349	+	15.9210i	−1.13526	+	0.595828i
$715$	5.63673	−	10.1194i	0.210802	−	0.378444i
$716$	−10.2595	−	5.38462i	−0.383417	−	0.201233i
$717$	6.26870	+	1.81575i	0.234109	+	0.0678105i
$718$	−0.453534	+	0.0366131i	−0.0169258	+	0.00136639i
$719$	−0.863193	+	4.22820i	−0.0321917	+	0.157685i	−0.992709	−	0.120534i	$-0.961539\pi$
$719$	−0.863193	+	4.22820i	−0.0321917	+	0.157685i	0.960517	+	0.278220i	$0.0897443\pi$
$720$	−0.113953	−	0.217119i	−0.00424677	−	0.00809154i
$721$	20.4733	+	27.2450i	0.762465	+	1.01466i
$722$	−19.4800	+	30.8052i	−0.724972	+	1.14645i
$723$	−3.52772	+	2.43501i	−0.131197	+	0.0905588i
$724$	15.6088	−	32.8949i	0.580097	−	1.22253i
$725$	−4.89117	+	5.09224i	−0.181653	+	0.189121i
$726$	9.27899	+	8.91259i	0.344376	+	0.330777i
$727$	0.978799	+	8.06114i	0.0363017	+	0.298971i	0.999540	+	0.0303233i	$0.00965369\pi$
$727$	0.978799	+	8.06114i	0.0363017	+	0.298971i	−0.963238	+	0.268648i	$0.913423\pi$
$728$	−13.3528	+	29.2955i	−0.494889	+	1.08576i
$729$	0.120537	−	0.992709i	0.00446432	−	0.0367670i
$730$	10.0645	−	8.21742i	0.372504	−	0.304140i
$731$	−1.30640	−	6.39915i	−0.0483188	−	0.236681i
$732$	5.62418	+	19.4169i	0.207876	+	0.717670i
$733$	−4.13812	−	16.7890i	−0.152845	−	0.620116i	−0.996527	−	0.0832728i	$-0.973463\pi$
$733$	−4.13812	−	16.7890i	−0.152845	−	0.620116i	0.843682	−	0.536843i	$-0.180383\pi$
$734$	0.0403561	−	0.499900i	0.00148957	−	0.0184517i
$735$	0.829119	+	5.10178i	0.0305825	+	0.188182i
$736$	−31.0920	+	35.0956i	−1.14606	+	1.29364i
$737$	27.9500	−	21.0030i	1.02955	−	0.773656i
$738$	2.74245	+	3.35889i	0.100951	+	0.123642i
$739$	−0.298187	+	1.83482i	−0.0109690	+	0.0674948i	−0.991958	−	0.126570i	$-0.959603\pi$
$739$	−0.298187	+	1.83482i	−0.0109690	+	0.0674948i	0.980989	+	0.194065i	$0.0621672\pi$
$740$	51.6625	+	12.7337i	1.89915	+	0.468098i
$741$	2.82188	−	5.58369i	0.103664	−	0.205122i
$742$	−35.6084	+	8.77667i	−1.30722	+	0.322202i
$743$	−0.712194	−	8.82210i	−0.0261279	−	0.323652i	−0.996597	−	0.0824268i	$-0.973733\pi$
$743$	−0.712194	−	8.82210i	−0.0261279	−	0.323652i	0.970469	−	0.241225i	$-0.0775491\pi$
$744$	11.2371	−	3.75149i	0.411972	−	0.137536i
$745$	−20.9899	−	21.8529i	−0.769012	−	0.800627i
$746$			15.6460i			0.572842i
$747$	−2.91115	+	2.79619i	−0.106513	+	0.102307i
$748$	26.2965	+	21.4704i	0.961494	+	0.785036i
$749$	−9.46333	+	18.0309i	−0.345782	+	0.658833i
$750$	−25.2153	+	4.09788i	−0.920731	+	0.149633i
$751$	1.10398	−	0.698115i	0.0402848	−	0.0254746i	−0.514172	−	0.857687i	$-0.671901\pi$
$751$	1.10398	−	0.698115i	0.0402848	−	0.0254746i	0.554456	+	0.832213i	$0.312926\pi$
$752$	−1.59573	+	0.757181i	−0.0581901	+	0.0276116i
$753$	−0.494063	+	0.715774i	−0.0180047	+	0.0260842i
$754$	13.4171	−	13.2900i	0.488621	−	0.483993i
$755$	18.0207	+	26.1075i	0.655840	+	0.950149i
$756$	9.06424	+	5.23324i	0.329663	+	0.190331i
$757$	−6.33023	−	13.3407i	−0.230076	−	0.484875i	0.755276	−	0.655407i	$-0.227503\pi$
$757$	−6.33023	−	13.3407i	−0.230076	−	0.484875i	−0.985352	+	0.170531i	$0.945452\pi$
$758$	−30.1124	−	10.0530i	−1.09373	−	0.365142i
$759$	−4.43424	+	17.9904i	−0.160953	+	0.653011i
$760$	6.56285	−	0.264474i	0.238060	−	0.00959348i
$761$	0.220759	−	0.00889628i	0.00800250	−	0.000322490i	−0.0362644	−	0.999342i	$-0.511546\pi$
$761$	0.220759	−	0.00889628i	0.00800250	−	0.000322490i	0.0442669	+	0.999020i	$0.485905\pi$
$762$	3.34164	−	13.5575i	0.121055	−	0.491138i
$763$	−2.21581	−	0.739746i	−0.0802177	−	0.0267806i
$764$	−22.9665	−	48.4009i	−0.830899	−	1.75108i
$765$	5.51758	+	3.18557i	0.199488	+	0.115175i
$766$	11.5667	+	16.7573i	0.417923	+	0.605466i
$767$	−15.6288	+	25.5776i	−0.564325	+	0.923552i
$768$	8.42989	−	12.2128i	0.304187	−	0.440692i
$769$	13.6976	−	6.49958i	0.493947	−	0.234381i	−0.165390	−	0.986228i	$-0.552888\pi$
$769$	13.6976	−	6.49958i	0.493947	−	0.234381i	0.659337	+	0.751847i	$0.270837\pi$
$770$	20.2687	−	12.8172i	0.730434	−	0.461899i
$771$	−10.2003	+	1.65771i	−0.367355	+	0.0597010i
$772$	−39.2081	+	74.7049i	−1.41113	+	2.68869i
$773$	17.9516	+	14.6570i	0.645675	+	0.527177i	0.897736	−	0.440534i	$-0.145211\pi$
$773$	17.9516	+	14.6570i	0.645675	+	0.527177i	−0.252061	+	0.967711i	$0.581108\pi$
$774$	−2.33950	+	2.24712i	−0.0840915	+	0.0807710i
$775$			13.3505i			0.479564i
$776$	14.3908	+	14.9824i	0.516600	+	0.537837i
$777$	37.2490	−	12.4355i	1.33630	−	0.446123i
$778$	−1.13883	−	14.1070i	−0.0408291	−	0.505759i
$779$	3.20484	−	0.789923i	0.114825	−	0.0283019i
$780$	15.8495	−	2.17232i	0.567505	−	0.0777817i
$781$	−11.2978	−	2.78466i	−0.404268	−	0.0996431i
$782$	13.4363	−	82.6771i	0.480483	−	2.95653i
$783$	−1.45320	−	1.77984i	−0.0519330	−	0.0636064i
$784$	0.525775	−	0.395094i	0.0187777	−	0.0141105i
$785$	8.52269	−	9.62012i	0.304188	−	0.343357i
$786$	6.52850	+	40.1715i	0.232864	+	1.43287i
$787$	3.84385	−	47.6146i	0.137018	−	1.69728i	−0.454308	−	0.890845i	$-0.650113\pi$
$787$	3.84385	−	47.6146i	0.137018	−	1.69728i	0.591326	−	0.806432i	$-0.298605\pi$
$788$	13.5028	+	54.7830i	0.481017	+	1.95156i
$789$	−5.39276	−	18.6180i	−0.191987	−	0.662817i
$790$	−6.76380	−	33.1313i	−0.240645	−	1.17876i
$791$	26.5272	−	21.6588i	0.943200	−	0.770099i
$792$	0.760652	−	6.26453i	0.0270286	−	0.222600i
$793$	22.7555	+	1.48517i	0.808073	+	0.0527398i
$794$	9.08135	+	74.7917i	0.322285	+	2.65426i
$795$	4.91878	+	4.72455i	0.174451	+	0.167563i
$796$	−37.2523	+	38.7838i	−1.32037	+	1.37465i
$797$	1.16791	−	2.46133i	0.0413696	−	0.0871847i	−0.881713	−	0.471786i	$-0.843610\pi$
$797$	1.16791	−	2.46133i	0.0413696	−	0.0871847i	0.923083	+	0.384601i	$0.125661\pi$
$798$	10.6596	−	7.35780i	0.377346	−	0.260463i
$799$	24.5279	−	38.7878i	0.867736	−	1.37222i
$800$	10.8108	+	14.3866i	0.382220	+	0.508642i
$801$	0.383711	+	0.731100i	0.0135578	+	0.0258321i
$802$	5.41524	−	26.5256i	0.191219	−	0.936652i
$803$	−9.47156	+	0.764623i	−0.334244	+	0.0269830i
$804$	46.3790	+	13.4339i	1.63566	+	0.473776i
$805$	−32.2268	−	16.9139i	−1.13585	−	0.596137i
$806$	0.888917	−	35.6966i	0.0313108	−	1.25736i
$807$	−0.745504	+	0.391270i	−0.0262430	+	0.0137734i
$808$	−12.7265	+	2.59814i	−0.447717	+	0.0914021i
$809$	5.69370	+	4.27854i	0.200180	+	0.150425i	0.696105	−	0.717940i	$-0.254915\pi$
$809$	5.69370	+	4.27854i	0.200180	+	0.150425i	−0.495925	+	0.868365i	$0.665171\pi$
$810$	−0.127418	−	3.16185i	−0.00447702	−	0.111096i
$811$	−36.1812	+	13.7217i	−1.27049	+	0.481834i	−0.895445	−	0.445172i	$-0.853143\pi$
$811$	−36.1812	+	13.7217i	−1.27049	+	0.481834i	−0.375047	+	0.927006i	$0.622373\pi$
$812$	23.0998	−	6.69093i	0.810643	−	0.234806i
$813$	10.8753	+	2.22021i	0.381413	+	0.0778661i
$814$	−41.9514	−	47.3534i	−1.47040	−	1.65973i
$815$	7.81450	−	9.57102i	0.273730	−	0.335258i
$816$	0.0326427	−	0.810019i	0.00114272	−	0.0283564i
$817$	0.781930	+	2.34217i	0.0273563	+	0.0819420i
$818$	31.3432	−	27.7677i	1.09589	−	0.970874i
$819$	9.02978	−	7.60700i	0.315526	−	0.265810i
$820$	6.31765	+	5.59695i	0.220622	+	0.195454i
$821$	−13.4111	+	31.4771i	−0.468051	+	1.09856i	0.503982	+	0.863714i	$0.331868\pi$
$821$	−13.4111	+	31.4771i	−0.468051	+	1.09856i	−0.972033	+	0.234843i	$0.924542\pi$
$822$	15.0877	−	26.1327i	0.526246	−	0.911484i
$823$	9.55154	+	16.5438i	0.332946	+	0.576679i	0.983088	−	0.183134i	$-0.0586241\pi$
$823$	9.55154	+	16.5438i	0.332946	+	0.576679i	−0.650142	+	0.759812i	$0.725291\pi$
$824$	28.1714	−	3.42063i	0.981399	−	0.119163i
$825$	6.42493	+	3.04867i	0.223688	+	0.106141i
$826$	−53.7427	+	31.0284i	−1.86995	+	1.07962i
$827$	−4.72303	−	3.26007i	−0.164236	−	0.113364i	0.483112	−	0.875559i	$-0.339506\pi$
$827$	−4.72303	−	3.26007i	−0.164236	−	0.113364i	−0.647348	+	0.762195i	$0.724122\pi$
$828$	−23.5423	+	10.0304i	−0.818152	+	0.348582i
$829$	48.9893	+	7.96153i	1.70147	+	0.276515i	0.932076	−	0.362262i	$-0.117995\pi$
$829$	48.9893	+	7.96153i	1.70147	+	0.276515i	0.769392	+	0.638777i	$0.220559\pi$
$830$	−7.67341	+	10.2115i	−0.266348	+	0.354445i
$831$	8.44914	+	22.2786i	0.293097	+	0.772835i
$832$	−27.2085	−	38.1497i	−0.943285	−	1.32260i
$833$	−6.05960	+	15.9779i	−0.209953	+	0.553600i
$834$	−18.6391	−	29.4753i	−0.645418	−	1.02065i
$835$	−6.24195	−	2.65945i	−0.216012	−	0.0920339i
$836$	−10.8479	−	6.85980i	−0.375183	−	0.237251i
$837$	−4.31289	−	0.523680i	−0.149075	−	0.0181010i
$838$	11.3831	+	26.7170i	0.393221	+	0.922924i
$839$	7.57258	−	22.6827i	0.261435	−	0.783092i	−0.733235	−	0.679976i	$-0.761990\pi$
$839$	7.57258	−	22.6827i	0.261435	−	0.783092i	0.994669	−	0.103116i	$-0.0328814\pi$
$840$	11.5901	+	4.39555i	0.399897	+	0.151661i
$841$	23.6435	+	1.90870i	0.815292	+	0.0658172i
$842$	−2.01684	+	6.96293i	−0.0695048	+	0.239959i
$843$	3.53187	+	0.142329i	0.121644	+	0.00490208i
$844$	10.1084			0.347947
$845$	3.77788	−	17.6467i	0.129963	−	0.607064i
$846$	−22.7938			−0.783668
$847$	18.4677	+	0.744222i	0.634557	+	0.0255718i
$848$	0.241443	−	0.833558i	0.00829119	−	0.0286245i
$849$	−18.7347	−	1.51242i	−0.642973	−	0.0519061i
$850$	−30.0595	−	11.4000i	−1.03103	−	0.391018i
$851$	−30.4043	+	91.0719i	−1.04225	+	3.12191i
$852$	−6.29902	−	14.7844i	−0.215801	−	0.506504i
$853$	54.0160	+	6.55873i	1.84947	+	0.224567i	0.968571	−	0.248735i	$-0.0800150\pi$
$853$	54.0160	+	6.55873i	1.84947	+	0.224567i	0.880900	+	0.473302i	$0.156938\pi$
$854$	39.9026	+	25.2329i	1.36544	+	0.863452i
$855$	−2.21600	−	0.944150i	−0.0757857	−	0.0322893i
$856$	9.06270	+	14.3315i	0.309757	+	0.489841i
$857$	1.10948	−	2.92546i	0.0378991	−	0.0999317i	−0.914731	−	0.404064i	$-0.867597\pi$
$857$	1.10948	−	2.92546i	0.0378991	−	0.0999317i	0.952630	+	0.304132i	$0.0983665\pi$
$858$	−16.9760	−	8.57934i	−0.579552	−	0.292894i
$859$	16.4464	+	43.3656i	0.561144	+	1.47962i	0.852358	+	0.522958i	$0.175172\pi$
$859$	16.4464	+	43.3656i	0.561144	+	1.47962i	−0.291214	+	0.956658i	$0.594059\pi$
$860$	−3.79312	+	5.04772i	−0.129344	+	0.172126i
$861$	6.14859	+	0.999244i	0.209543	+	0.0340541i
$862$	−23.7170	+	10.1049i	−0.807805	+	0.344174i
$863$	38.6508	+	26.6787i	1.31569	+	0.908154i	0.999182	−	0.0404371i	$-0.0128750\pi$
$863$	38.6508	+	26.6787i	1.31569	+	0.908154i	0.316505	+	0.948591i	$0.397490\pi$
$864$	−5.07166	+	2.92812i	−0.172541	+	0.0996167i
$865$	19.5972	+	9.29899i	0.666325	+	0.316175i
$866$	−66.8081	+	8.11197i	−2.27023	+	0.275656i
$867$	2.03186	+	3.51928i	0.0690056	+	0.119521i
$868$	22.7362	−	39.3802i	0.771716	−	1.33665i
$869$	−9.69335	+	22.7511i	−0.328824	+	0.771779i
$870$	−5.44243	−	4.82157i	−0.184516	−	0.163467i
$871$	32.0484	−	44.0432i	1.08592	−	1.49235i
$872$	−1.45601	+	1.28991i	−0.0493068	+	0.0436820i
$873$	−2.41255	−	7.22646i	−0.0816523	−	0.244578i
$874$	−1.27514	+	31.6423i	−0.0431323	+	1.07032i
$875$	−23.2097	+	28.4267i	−0.784629	+	0.960997i
$876$	−8.70259	−	9.82319i	−0.294033	−	0.331895i
$877$	41.4958	+	8.47143i	1.40121	+	0.286060i	0.840438	−	0.541908i	$-0.182298\pi$
$877$	41.4958	+	8.47143i	1.40121	+	0.286060i	0.560776	+	0.827968i	$0.310503\pi$
$878$	17.8322	−	5.16516i	0.601808	−	0.174316i
$879$	3.08420	−	1.16968i	0.104028	−	0.0394524i
$880$	0.0228498	+	0.567011i	0.000770266	+	0.0191139i
$881$	−12.0521	−	9.05655i	−0.406045	−	0.305123i	0.378025	−	0.925795i	$-0.376603\pi$
$881$	−12.0521	−	9.05655i	−0.406045	−	0.305123i	−0.784070	+	0.620672i	$0.786860\pi$
$882$	8.31589	−	1.69770i	0.280011	−	0.0571646i
$883$	−14.8911	+	7.81544i	−0.501125	+	0.263010i	−0.696291	−	0.717760i	$-0.745168\pi$
$883$	−14.8911	+	7.81544i	−0.501125	+	0.263010i	0.195166	+	0.980770i	$0.437475\pi$
$884$	48.9710	+	19.9804i	1.64707	+	0.672014i
$885$	10.2187	+	5.36321i	0.343499	+	0.180282i
$886$	−6.89239	−	1.99641i	−0.231554	−	0.0670706i
$887$	−53.8829	+	4.34988i	−1.80921	+	0.146055i	−0.938397	−	0.345558i	$-0.887690\pi$
$887$	−53.8829	+	4.34988i	−1.80921	+	0.146055i	−0.870814	+	0.491613i	$0.836408\pi$
$888$	6.54085	−	32.0392i	0.219497	−	1.07517i
$889$	−9.32188	−	17.7614i	−0.312646	−	0.595697i
$890$	1.56961	+	2.08877i	0.0526134	+	0.0700158i
$891$	−1.23690	+	1.95600i	−0.0414376	+	0.0655283i
$892$	−19.4348	+	13.4149i	−0.650724	+	0.449163i
$893$	−7.43809	+	15.6754i	−0.248906	+	0.524559i
$894$	−34.4671	+	35.8841i	−1.15275	+	1.20014i
$895$	3.62938	+	3.48606i	0.121317	+	0.116526i
$896$	−7.07035	−	58.2296i	−0.236204	−	1.94531i
$897$	1.60583	+	28.8226i	0.0536173	+	0.962360i
$898$	5.10526	−	42.0456i	0.170365	−	1.40308i
$899$	−7.73264	+	6.31351i	−0.257898	+	0.210567i
$900$	1.96459	+	9.62322i	0.0654865	+	0.320774i
$901$	6.27339	+	21.6582i	0.208997	+	0.721541i
$902$	−2.40160	−	9.74366i	−0.0799644	−	0.324428i
$903$	−0.374975	+	4.64490i	−0.0124784	+	0.154573i
$904$	−4.57441	−	28.1475i	−0.152142	−	0.936170i
$905$	−10.4865	+	11.8368i	−0.348584	+	0.393470i
$906$	41.6442	−	31.2936i	1.38354	−	1.03966i
$907$	4.77969	+	5.85406i	0.158707	+	0.194381i	0.847837	−	0.530257i	$-0.177905\pi$
$907$	4.77969	+	5.85406i	0.158707	+	0.194381i	−0.689130	+	0.724638i	$0.742007\pi$
$908$	11.6278	−	71.5485i	0.385881	−	2.37442i
$909$	4.62505	+	1.13997i	0.153403	+	0.0378105i
$910$	24.3426	−	28.3436i	0.806949	−	0.939581i
$911$	57.2995	−	14.1231i	1.89842	−	0.467918i	0.898859	−	0.438238i	$-0.144397\pi$
$911$	57.2995	−	14.1231i	1.89842	−	0.467918i	0.999559	−	0.0296806i	$-0.00944901\pi$
$912$	0.0246625	+	0.305500i	0.000816658	+	0.0101161i
$913$	8.86083	−	2.95818i	0.293251	−	0.0979014i
$914$	−45.3956	−	47.2618i	−1.50155	−	1.56328i
$915$		−	8.77988i		−	0.290254i
$916$	−57.5642	+	55.2911i	−1.90197	+	1.82687i
$917$	45.2877	+	36.9763i	1.49553	+	1.22106i
$918$	4.86189	−	9.26356i	0.160466	−	0.305743i
$919$	55.3152	−	8.98959i	1.82468	−	0.296539i	0.851119	−	0.524972i	$-0.175924\pi$
$919$	55.3152	−	8.98959i	1.82468	−	0.296539i	0.973560	+	0.228433i	$0.0733601\pi$
$920$	−25.6149	+	16.1979i	−0.844498	+	0.534028i
$921$	17.7300	−	8.41301i	0.584225	−	0.277218i
$922$	−19.5979	+	28.3924i	−0.645421	+	0.935054i
$923$	−18.1003	+	1.00845i	−0.595780	+	0.0331935i
$924$	−13.7598	−	19.9345i	−0.452664	−	0.655798i
$925$	31.9137	+	18.4254i	1.04932	+	0.605823i
$926$	−14.6340	−	30.8406i	−0.480905	−	1.01349i
$927$	−9.87161	−	3.29563i	−0.324226	−	0.108243i
$928$	−3.22026	+	13.0651i	−0.105710	+	0.428884i
$929$	−10.5790	+	0.426321i	−0.347087	+	0.0139871i	−0.213198	−	0.977009i	$-0.568388\pi$
$929$	−10.5790	+	0.426321i	−0.347087	+	0.0139871i	−0.133890	+	0.990996i	$0.542747\pi$
$930$	−13.7369	+	0.553577i	−0.450450	+	0.0181525i
$931$	1.54613	−	6.27288i	0.0506722	−	0.205585i
$932$	−74.8821	−	24.9993i	−2.45284	−	0.818879i
$933$	3.00182	+	6.32621i	0.0982753	+	0.207111i
$934$	−55.7789	−	32.2039i	−1.82514	−	1.05375i
$935$	−8.37585	−	12.1345i	−0.273920	−	0.396841i
$936$	−1.72616	−	9.67889i	−0.0564213	−	0.316365i
$937$	6.77374	−	9.81345i	0.221288	−	0.320591i	−0.696578	−	0.717481i	$-0.745295\pi$
$937$	6.77374	−	9.81345i	0.221288	−	0.320591i	0.917866	+	0.396890i	$0.129910\pi$
$938$	101.881	−	48.3431i	3.32653	−	1.57846i
$939$	−15.6125	+	9.87272i	−0.509493	+	0.322184i
$940$	−43.7925	+	7.11697i	−1.42835	+	0.232130i
$941$	−17.6084	+	33.5501i	−0.574018	+	1.09370i	0.409401	+	0.912355i	$0.365738\pi$
$941$	−17.6084	+	33.5501i	−0.574018	+	1.09370i	−0.983419	+	0.181346i	$0.941955\pi$
$942$	−16.3477	−	13.3475i	−0.532636	−	0.434884i
$943$	−10.9841	+	10.5504i	−0.357691	+	0.343567i
$944$		−	1.46846i		−	0.0477942i
$945$	−3.14902	−	3.27848i	−0.102438	−	0.106649i
$946$	7.12087	−	2.37730i	0.231519	−	0.0772925i
$947$	3.47555	+	43.0524i	0.112940	+	1.39902i	0.766550	+	0.642184i	$0.221972\pi$
$947$	3.47555	+	43.0524i	0.112940	+	1.39902i	−0.653610	+	0.756832i	$0.726746\pi$
$948$	−33.1620	+	8.17370i	−1.07705	+	0.265469i
$949$	−13.7600	+	5.46197i	−0.446667	+	0.177303i
$950$	11.8013	+	2.90876i	0.382884	+	0.0943725i
$951$	−1.77525	+	10.9236i	−0.0575665	+	0.354221i
$952$	25.9184	+	31.7443i	0.840021	+	1.02884i
$953$	37.4861	−	28.1690i	1.21429	−	0.912483i	0.216334	−	0.976319i	$-0.430590\pi$
$953$	37.4861	−	28.1690i	1.21429	−	0.912483i	0.997960	+	0.0638359i	$0.0203334\pi$
$954$	7.42656	−	8.38285i	0.240444	−	0.271405i
$955$	3.73248	+	22.9669i	0.120780	+	0.743191i
$956$	1.67851	−	20.7921i	0.0542868	−	0.672463i
$957$	1.27258	+	5.16307i	0.0411367	+	0.166898i
$958$	0.599979	+	2.07137i	0.0193844	+	0.0669228i
$959$	−8.67085	−	42.4726i	−0.279996	−	1.37151i
$960$	−13.9748	+	11.4101i	−0.451035	+	0.368258i
$961$	1.46147	−	12.0363i	0.0471443	−	0.388269i
$962$	−84.1042	−	51.3908i	−2.71163	−	1.65691i
$963$	−0.749555	−	6.17314i	−0.0241541	−	0.198927i
$964$	9.88088	+	9.49071i	0.318242	+	0.305675i
$965$	25.3838	−	26.4273i	0.817133	−	0.850726i
$966$	−25.6206	+	53.9943i	−0.824329	+	1.73724i
$967$	22.7990	−	15.7370i	0.733166	−	0.506068i	−0.142015	−	0.989865i	$-0.545358\pi$
$967$	22.7990	−	15.7370i	0.733166	−	0.506068i	0.875180	+	0.483797i	$0.160743\pi$
$968$	8.22570	−	13.0079i	0.264384	−	0.418090i
$969$	−4.78407	−	6.36644i	−0.153686	−	0.204520i
$970$	−11.2036	−	21.3468i	−0.359727	−	0.685403i
$971$	8.91964	−	43.6913i	0.286245	−	1.40212i	−0.541351	−	0.840796i	$-0.682087\pi$
$971$	8.91964	−	43.6913i	0.286245	−	1.40212i	0.827596	−	0.561324i	$-0.189708\pi$
$972$	−3.18585	+	0.257189i	−0.102186	+	0.00824933i
$973$	−48.1206	−	13.9383i	−1.54268	−	0.446842i
$974$	19.3830	+	10.1730i	0.621070	+	0.325963i
$975$	10.9621	+	1.60889i	0.351069	+	0.0515256i
$976$	−0.989204	+	0.519174i	−0.0316636	+	0.0166184i
$977$	−55.2602	+	11.2814i	−1.76793	+	0.360926i	−0.970241	−	0.242143i	$-0.922150\pi$
$977$	−55.2602	+	11.2814i	−1.76793	+	0.360926i	−0.797690	+	0.603068i	$0.793945\pi$
$978$	−16.2203	−	12.1888i	−0.518668	−	0.389754i
$979$	−0.0769416	−	1.90929i	−0.00245906	−	0.0610210i
$980$	15.4468	−	5.85818i	0.493429	−	0.187133i
$981$	0.685203	−	0.198472i	0.0218769	−	0.00633671i
$982$	91.3047	+	18.6400i	2.91365	+	0.594826i
$983$	20.8357	+	23.5186i	0.664555	+	0.750128i	0.980039	−	0.198803i	$-0.0637054\pi$
$983$	20.8357	+	23.5186i	0.664555	+	0.750128i	−0.315484	+	0.948931i	$0.602167\pi$
$984$	3.28056	−	4.01795i	0.104580	−	0.128088i
$985$	0.986744	−	24.4858i	0.0314403	−	0.780183i
$986$	−7.61231	−	22.8016i	−0.242425	−	0.726152i
$987$	−24.5096	+	21.7136i	−0.780150	+	0.691153i
$988$	−19.2901	−	5.26727i	−0.613700	−	0.167574i
$989$	−8.52815	−	7.55528i	−0.271179	−	0.240244i
$990$	−2.87049	+	6.73729i	−0.0912302	+	0.214125i
$991$	−1.05974	+	1.83552i	−0.0336636	+	0.0583071i	−0.882366	−	0.470563i	$-0.844051\pi$
$991$	−1.05974	+	1.83552i	−0.0336636	+	0.0583071i	0.848703	+	0.528870i	$0.177384\pi$
$992$	12.7214	+	22.0342i	0.403906	+	0.699585i
$993$	4.19577	−	0.509458i	0.133149	−	0.0161672i
$994$	−33.9079	−	16.0895i	−1.07549	−	0.510328i
$995$	20.2273	−	11.6782i	0.641248	−	0.370225i
$996$	10.6178	+	7.32893i	0.336438	+	0.232226i
$997$	−18.7735	+	7.99862i	−0.594561	+	0.253319i	−0.668219	−	0.743965i	$-0.732943\pi$
$997$	−18.7735	+	7.99862i	−0.594561	+	0.253319i	0.0736576	+	0.997284i	$0.476533\pi$
$998$	46.1541	+	7.50077i	1.46098	+	0.237433i
$999$	−7.20417	+	9.58701i	−0.227930	+	0.303319i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	507.2.t.b.4.14	✓	360
169.127	even	78	inner	507.2.t.b.127.14	yes	360

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
507.2.t.b.4.14	✓	360	1.1	even	1	trivial
507.2.t.b.127.14	yes	360	169.127	even	78	inner

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Elliptic curves over $\Q$
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Abelian varieties over $\F_{q}$

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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	507.2.t.b.4.14

Level	$507$
Weight	$2$
Character	507.4
Analytic conductor	$4.048$
Analytic rank	$0$
Dimension	$360$
Inner twists	$2$