LMFDB - Embedded newform 296.2.q.a.101.7

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [296,2,Mod(85,296)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(296, base_ring=CyclotomicField(6)) chi = DirichletCharacter(H, H._module([0, 3, 5])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("296.85"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$N$	$=$	$296 = 2^{3} \cdot 37$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	296.q (of order $6$ , degree $2$ , minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$2.36357189983$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			101.7
Character	$\chi$	$=$	296.101
Dual form			296.2.q.a.85.7

$q$ -expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.26355 + 0.635167i) q^{2} +(-2.54245 + 1.46788i) q^{3} +(1.19312 - 1.60513i) q^{4} +(-2.01329 - 3.48712i) q^{5} +(2.28016 - 3.46962i) q^{6} +(0.477860 + 0.827678i) q^{7} +(-0.488046 + 2.78600i) q^{8} +(2.80936 - 4.86595i) q^{9} +(4.75880 + 3.12738i) q^{10} +0.266146i q^{11} +(-0.677308 + 5.83233i) q^{12} +(2.19590 + 3.80341i) q^{13} +(-1.12951 - 0.742292i) q^{14} +(10.2374 + 5.91054i) q^{15} +(-1.15291 - 3.83025i) q^{16} +(-4.25701 - 2.45778i) q^{17} +(-0.459075 + 7.93279i) q^{18} +(0.537084 + 0.930256i) q^{19} +(-7.99939 - 0.928969i) q^{20} +(-2.42987 - 1.40288i) q^{21} +(-0.169047 - 0.336289i) q^{22} +4.38312i q^{23} +(-2.84869 - 7.79966i) q^{24} +(-5.60666 + 9.71102i) q^{25} +(-5.19043 - 3.41104i) q^{26} +7.68793i q^{27} +(1.89868 + 0.220494i) q^{28} +9.06214 q^{29} +(-16.6896 - 0.965836i) q^{30} +3.47979i q^{31} +(3.88961 + 4.10743i) q^{32} +(-0.390671 - 0.676662i) q^{33} +(6.94005 + 0.401624i) q^{34} +(1.92414 - 3.33271i) q^{35} +(-4.45859 - 10.3151i) q^{36} +(-0.468706 + 6.06468i) q^{37} +(-1.26950 - 0.834288i) q^{38} +(-11.1659 - 6.44664i) q^{39} +(10.6977 - 3.90715i) q^{40} +(2.60116 + 4.50534i) q^{41} +(3.96133 + 0.229244i) q^{42} +2.65469 q^{43} +(0.427200 + 0.317546i) q^{44} -22.6242 q^{45} +(-2.78401 - 5.53829i) q^{46} +9.88608 q^{47} +(8.55356 + 8.04587i) q^{48} +(3.04330 - 5.27115i) q^{49} +(0.916179 - 15.8315i) q^{50} +14.4309 q^{51} +(8.72496 + 1.01323i) q^{52} +(-0.693668 - 0.400490i) q^{53} +(-4.88312 - 9.71410i) q^{54} +(0.928083 - 0.535829i) q^{55} +(-2.53913 + 0.927375i) q^{56} +(-2.73101 - 1.57675i) q^{57} +(-11.4505 + 5.75598i) q^{58} +(-6.03346 + 10.4503i) q^{59} +(21.7016 - 9.38031i) q^{60} +(2.97244 + 5.14841i) q^{61} +(-2.21025 - 4.39689i) q^{62} +5.36992 q^{63} +(-7.52362 - 2.71939i) q^{64} +(8.84195 - 15.3147i) q^{65} +(0.923427 + 0.606856i) q^{66} +(11.7819 - 6.80228i) q^{67} +(-9.02421 + 3.90062i) q^{68} +(-6.43390 - 11.1438i) q^{69} +(-0.314422 + 5.43320i) q^{70} +(1.67560 + 2.90222i) q^{71} +(12.1855 + 10.2017i) q^{72} -2.12560 q^{73} +(-3.25985 - 7.96074i) q^{74} -32.9197i q^{75} +(2.13399 + 0.247820i) q^{76} +(-0.220283 + 0.127181i) q^{77} +(18.2034 + 1.05344i) q^{78} +(-4.72714 + 2.72922i) q^{79} +(-11.0354 + 11.7317i) q^{80} +(-2.85691 - 4.94831i) q^{81} +(-6.14835 - 4.04056i) q^{82} +(-12.7696 - 7.37255i) q^{83} +(-5.15095 + 2.22645i) q^{84} +19.7929i q^{85} +(-3.35433 + 1.68617i) q^{86} +(-23.0400 + 13.3022i) q^{87} +(-0.741484 - 0.129891i) q^{88} +(-5.07906 - 2.93240i) q^{89} +(28.5868 - 14.3701i) q^{90} +(-2.09866 + 3.63499i) q^{91} +(7.03549 + 5.22960i) q^{92} +(-5.10792 - 8.84718i) q^{93} +(-12.4916 + 6.27932i) q^{94} +(2.16261 - 3.74575i) q^{95} +(-15.9183 - 4.73343i) q^{96} -1.93694i q^{97} +(-0.497303 + 8.59337i) q^{98} +(1.29505 + 0.747700i) q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$72 q - 6 q^{2} - 2 q^{4} + 2 q^{7} + 30 q^{9} - 12 q^{12} - 6 q^{15} - 6 q^{16} - 12 q^{17} - 48 q^{18} + 18 q^{20} - 12 q^{22} - 6 q^{24} - 32 q^{25} - 16 q^{26} + 10 q^{28} - 14 q^{30} - 6 q^{32} + 4 q^{33}+ \cdots + 48 q^{98}+O(q^{100})$ 72 * q - 6 * q^2 - 2 * q^4 + 2 * q^7 + 30 * q^9 - 12 * q^12 - 6 * q^15 - 6 * q^16 - 12 * q^17 - 48 * q^18 + 18 * q^20 - 12 * q^22 - 6 * q^24 - 32 * q^25 - 16 * q^26 + 10 * q^28 - 14 * q^30 - 6 * q^32 + 4 * q^33 + 8 * q^34 + 4 * q^36 - 24 * q^38 - 6 * q^39 - 18 * q^40 + 6 * q^42 - 10 * q^44 - 8 * q^46 + 32 * q^47 + 20 * q^48 - 18 * q^49 + 12 * q^50 + 42 * q^52 + 30 * q^54 + 24 * q^55 - 24 * q^56 - 6 * q^57 - 8 * q^58 + 32 * q^62 + 8 * q^63 - 68 * q^64 + 6 * q^65 + 20 * q^70 + 18 * q^71 + 18 * q^72 - 64 * q^73 - 12 * q^74 - 72 * q^76 + 54 * q^78 + 54 * q^79 - 16 * q^81 - 12 * q^84 + 48 * q^86 - 108 * q^87 - 36 * q^89 + 24 * q^90 - 120 * q^92 - 72 * q^94 + 50 * q^95 + 36 * q^96 + 48 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/296\mathbb{Z}\right)^\times$ .

$n$	$113$	$149$	$223$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$-1$	$1$

Coefficient data

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

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

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

$2$	−1.26355	+	0.635167i	−0.893466	+	0.449131i
$2$	−1.26355	+	0.635167i	−0.893466	+	0.449131i
$3$	−2.54245	+	1.46788i	−1.46788	+	0.847482i	−0.999353	−	0.0359656i	$-0.988549\pi$
$3$	−2.54245	+	1.46788i	−1.46788	+	0.847482i	−0.468529	+	0.883448i	$0.655216\pi$
$4$	1.19312	−	1.60513i	0.596562	−	0.802567i
$5$	−2.01329	−	3.48712i	−0.900370	−	1.55949i	−0.827015	−	0.562180i	$-0.809963\pi$
$5$	−2.01329	−	3.48712i	−0.900370	−	1.55949i	−0.0733552	−	0.997306i	$-0.523371\pi$
$6$	2.28016	−	3.46962i	0.930872	−	1.41647i
$7$	0.477860	+	0.827678i	0.180614	+	0.312833i	0.942090	−	0.335361i	$-0.108858\pi$
$7$	0.477860	+	0.827678i	0.180614	+	0.312833i	−0.761476	+	0.648193i	$0.775525\pi$
$8$	−0.488046	+	2.78600i	−0.172550	+	0.985001i
$9$	2.80936	−	4.86595i	0.936452	−	1.62198i
$10$	4.75880	+	3.12738i	1.50486	+	0.988963i
$11$			0.266146i			0.0802461i	0.999195	+	0.0401230i	$0.0127750\pi$
$11$			0.266146i			0.0802461i	−0.999195	+	0.0401230i	$0.987225\pi$
$12$	−0.677308	+	5.83233i	−0.195522	+	1.68365i
$13$	2.19590	+	3.80341i	0.609032	+	1.05488i	0.991400	+	0.130865i	$0.0417754\pi$
$13$	2.19590	+	3.80341i	0.609032	+	1.05488i	−0.382368	+	0.924010i	$0.624891\pi$
$14$	−1.12951	−	0.742292i	−0.301875	−	0.198386i
$15$	10.2374	+	5.91054i	2.64327	+	1.52609i
$16$	−1.15291	−	3.83025i	−0.288227	−	0.957562i
$17$	−4.25701	−	2.45778i	−1.03248	−	0.596100i	−0.114783	−	0.993391i	$-0.536617\pi$
$17$	−4.25701	−	2.45778i	−1.03248	−	0.596100i	−0.917693	+	0.397291i	$0.869950\pi$
$18$	−0.459075	+	7.93279i	−0.108205	+	1.86978i
$19$	0.537084	+	0.930256i	0.123215	+	0.213415i	0.921034	−	0.389482i	$-0.127346\pi$
$19$	0.537084	+	0.930256i	0.123215	+	0.213415i	−0.797819	+	0.602898i	$0.794013\pi$
$20$	−7.99939	−	0.928969i	−1.78872	−	0.207724i
$21$	−2.42987	−	1.40288i	−0.530240	−	0.306134i
$22$	−0.169047	−	0.336289i	−0.0360410	−	0.0716971i
$23$			4.38312i			0.913943i	0.889481	+	0.456972i	$0.151066\pi$
$23$			4.38312i			0.913943i	−0.889481	+	0.456972i	$0.848934\pi$
$24$	−2.84869	−	7.79966i	−0.581487	−	1.59210i
$25$	−5.60666	+	9.71102i	−1.12133	+	1.94220i
$26$	−5.19043	−	3.41104i	−1.01793	−	0.668959i
$27$			7.68793i			1.47954i
$28$	1.89868	+	0.220494i	0.358817	+	0.0416694i
$29$	9.06214			1.68280			0.841399	−	0.540415i	$-0.181733\pi$
$29$	9.06214			1.68280			0.841399	+	0.540415i	$0.181733\pi$
$30$	−16.6896	−	0.965836i	−3.04709	−	0.176337i
$31$			3.47979i			0.624989i	0.949920	+	0.312494i	$0.101165\pi$
$31$			3.47979i			0.624989i	−0.949920	+	0.312494i	$0.898835\pi$
$32$	3.88961	+	4.10743i	0.687592	+	0.726097i
$33$	−0.390671	−	0.676662i	−0.0680071	−	0.117792i
$34$	6.94005	+	0.401624i	1.19021	+	0.0688780i
$35$	1.92414	−	3.33271i	0.325239	−	0.563330i
$36$	−4.45859	−	10.3151i	−0.743098	−	1.71918i
$37$	−0.468706	+	6.06468i	−0.0770548	+	0.997027i
$37$	−0.468706	+	6.06468i	−0.0770548	+	0.997027i
$38$	−1.26950	−	0.834288i	−0.205940	−	0.135339i
$39$	−11.1659	−	6.44664i	−1.78798	−	1.03229i
$40$	10.6977	−	3.90715i	1.69145	−	0.617775i
$41$	2.60116	+	4.50534i	0.406233	+	0.703616i	0.994464	−	0.105077i	$-0.0335088\pi$
$41$	2.60116	+	4.50534i	0.406233	+	0.703616i	−0.588231	+	0.808693i	$0.700175\pi$
$42$	3.96133	+	0.229244i	0.611246	+	0.0353731i
$43$	2.65469			0.404836			0.202418	−	0.979299i	$-0.435120\pi$
$43$	2.65469			0.404836			0.202418	+	0.979299i	$0.435120\pi$
$44$	0.427200	+	0.317546i	0.0644028	+	0.0478718i
$45$	−22.6242			−3.37261
$46$	−2.78401	−	5.53829i	−0.410480	−	0.816577i
$47$	9.88608			1.44203			0.721017	−	0.692918i	$-0.243675\pi$
$47$	9.88608			1.44203			0.721017	+	0.692918i	$0.243675\pi$
$48$	8.55356	+	8.04587i	1.23460	+	1.16132i
$49$	3.04330	−	5.27115i	0.434757	−	0.753021i
$50$	0.916179	−	15.8315i	0.129567	−	2.23892i
$51$	14.4309			2.02074
$52$	8.72496	+	1.01323i	1.20993	+	0.140509i
$53$	−0.693668	−	0.400490i	−0.0952827	−	0.0550115i	0.451602	−	0.892220i	$-0.350853\pi$
$53$	−0.693668	−	0.400490i	−0.0952827	−	0.0550115i	−0.546884	+	0.837208i	$0.684186\pi$
$54$	−4.88312	−	9.71410i	−0.664509	−	1.32192i
$55$	0.928083	−	0.535829i	0.125143	−	0.0722512i
$56$	−2.53913	+	0.927375i	−0.339306	+	0.123926i
$57$	−2.73101	−	1.57675i	−0.361732	−	0.208846i
$58$	−11.4505	+	5.75598i	−1.50352	+	0.755797i
$59$	−6.03346	+	10.4503i	−0.785489	+	1.36051i	0.143217	+	0.989691i	$0.454255\pi$
$59$	−6.03346	+	10.4503i	−0.785489	+	1.36051i	−0.928706	+	0.370816i	$0.879078\pi$
$60$	21.7016	−	9.38031i	2.80167	−	1.21099i
$61$	2.97244	+	5.14841i	0.380581	+	0.659186i	0.991145	−	0.132781i	$-0.0423906\pi$
$61$	2.97244	+	5.14841i	0.380581	+	0.659186i	−0.610564	+	0.791967i	$0.709057\pi$
$62$	−2.21025	−	4.39689i	−0.280702	−	0.558406i
$63$	5.36992			0.676546
$64$	−7.52362	−	2.71939i	−0.940453	−	0.339924i
$65$	8.84195	−	15.3147i	1.09671	−	1.89956i
$66$	0.923427	+	0.606856i	0.113666	+	0.0746988i
$67$	11.7819	−	6.80228i	1.43939	−	0.831031i	0.441581	−	0.897222i	$-0.354418\pi$
$67$	11.7819	−	6.80228i	1.43939	−	0.831031i	0.997807	+	0.0661908i	$0.0210846\pi$
$68$	−9.02421	+	3.90062i	−1.09435	+	0.473020i
$69$	−6.43390	−	11.1438i	−0.774551	−	1.34156i
$70$	−0.314422	+	5.43320i	−0.0375806	+	0.649391i
$71$	1.67560	+	2.90222i	0.198857	+	0.344431i	0.948158	−	0.317799i	$-0.102944\pi$
$71$	1.67560	+	2.90222i	0.198857	+	0.344431i	−0.749301	+	0.662230i	$0.769610\pi$
$72$	12.1855	+	10.2017i	1.43607	+	1.20228i
$73$	−2.12560			−0.248782			−0.124391	−	0.992233i	$-0.539698\pi$
$73$	−2.12560			−0.248782			−0.124391	+	0.992233i	$0.539698\pi$
$74$	−3.25985	−	7.96074i	−0.378950	−	0.925417i
$75$		−	32.9197i		−	3.80123i
$76$	2.13399	+	0.247820i	0.244786	+	0.0284270i
$77$	−0.220283	+	0.127181i	−0.0251036	+	0.0144936i
$78$	18.2034	+	1.05344i	2.06113	+	0.119279i
$79$	−4.72714	+	2.72922i	−0.531845	+	0.307061i	−0.741768	−	0.670657i	$-0.766012\pi$
$79$	−4.72714	+	2.72922i	−0.531845	+	0.307061i	0.209922	+	0.977718i	$0.432679\pi$
$80$	−11.0354	+	11.7317i	−1.23379	+	1.31165i
$81$	−2.85691	−	4.94831i	−0.317434	−	0.549812i
$82$	−6.14835	−	4.04056i	−0.678971	−	0.446205i
$83$	−12.7696	−	7.37255i	−1.40165	−	0.809243i	−0.407087	−	0.913389i	$-0.633456\pi$
$83$	−12.7696	−	7.37255i	−1.40165	−	0.809243i	−0.994562	+	0.104147i	$0.966789\pi$
$84$	−5.15095	+	2.22645i	−0.562015	+	0.242925i
$85$			19.7929i			2.14684i
$86$	−3.35433	+	1.68617i	−0.361707	+	0.181824i
$87$	−23.0400	+	13.3022i	−2.47015	+	1.42614i
$88$	−0.741484	−	0.129891i	−0.0790425	−	0.0138465i
$89$	−5.07906	−	2.93240i	−0.538379	−	0.310833i	0.206043	−	0.978543i	$-0.433941\pi$
$89$	−5.07906	−	2.93240i	−0.538379	−	0.310833i	−0.744422	+	0.667710i	$0.767275\pi$
$90$	28.5868	−	14.3701i	3.01332	−	1.51475i
$91$	−2.09866	+	3.63499i	−0.220000	+	0.381051i
$92$	7.03549	+	5.22960i	0.733500	+	0.545224i
$93$	−5.10792	−	8.84718i	−0.529667	−	0.917410i
$94$	−12.4916	+	6.27932i	−1.28841	+	0.647662i
$95$	2.16261	−	3.74575i	0.221879	−	0.384306i
$96$	−15.9183	−	4.73343i	−1.62466	−	0.483103i
$97$		−	1.93694i		−	0.196666i	−0.995154	−	0.0983332i	$-0.968649\pi$
$97$		−	1.93694i		−	0.196666i	0.995154	−	0.0983332i	$-0.0313511\pi$
$98$	−0.497303	+	8.59337i	−0.0502352	+	0.868062i
$99$	1.29505	+	0.747700i	0.130158	+	0.0751466i
$100$	8.89804	+	20.5859i	0.889804	+	2.05859i
$101$		−	4.90081i		−	0.487649i	−0.969819	−	0.243824i	$-0.921598\pi$
$101$		−	4.90081i		−	0.487649i	0.969819	−	0.243824i	$-0.0784021\pi$
$102$	−18.2342	+	9.16607i	−1.80546	+	0.907576i
$103$			6.66637i			0.656857i	0.944529	+	0.328429i	$0.106519\pi$
$103$			6.66637i			0.656857i	−0.944529	+	0.328429i	$0.893481\pi$
$104$	−11.6680	+	4.26154i	−1.14414	+	0.417879i
$105$			11.2976i			1.10254i
$106$	1.13086	+	0.0654436i	0.109839	+	0.00635645i
$107$	−1.14249	+	0.659618i	−0.110449	+	0.0637677i	−0.554207	−	0.832379i	$-0.686978\pi$
$107$	−1.14249	+	0.659618i	−0.110449	+	0.0637677i	0.443758	+	0.896147i	$0.353645\pi$
$108$	12.3402	+	9.17266i	1.18743	+	0.882639i
$109$	5.18058	−	8.97302i	0.496209	−	0.859460i	−0.503781	−	0.863831i	$-0.668058\pi$
$109$	5.18058	−	8.97302i	0.496209	−	0.859460i	0.999990	+	0.00437165i	$0.00139154\pi$
$110$	−0.832339	+	1.26654i	−0.0793604	+	0.120759i
$111$	−7.71057	−	16.1071i	−0.731855	−	1.52882i
$112$	2.61928	−	2.78456i	0.247499	−	0.263116i
$113$	10.0582	+	5.80708i	0.946192	+	0.546284i	0.891896	−	0.452241i	$-0.149375\pi$
$113$	10.0582	+	5.80708i	0.946192	+	0.546284i	0.0542962	+	0.998525i	$0.482708\pi$
$114$	4.45228	+	0.257655i	0.416994	+	0.0241316i
$115$	15.2844	−	8.82448i	1.42528	−	0.822887i
$116$	10.8123	−	14.5459i	1.00389	−	1.35056i
$117$	24.6762			2.28132
$118$	0.985922	−	17.0367i	0.0907615	−	1.56835i
$119$		−	4.69790i		−	0.430656i
$120$	−21.4631	+	25.6367i	−1.95930	+	2.34030i
$121$	10.9292			0.993561
$122$	−7.02593	−	4.61729i	−0.636098	−	0.418029i
$123$	−13.2266	−	7.63639i	−1.19260	−	0.688551i
$124$	5.58553	+	4.15182i	0.501595	+	0.372845i
$125$	25.0184			2.23771
$126$	−6.78517	+	3.41080i	−0.604471	+	0.303858i
$127$	−4.11358	+	7.12493i	−0.365021	+	0.632235i	−0.988780	−	0.149382i	$-0.952272\pi$
$127$	−4.11358	+	7.12493i	−0.365021	+	0.632235i	0.623758	+	0.781617i	$0.285605\pi$
$128$	11.2338	−	1.34267i	0.992933	−	0.118676i
$129$	−6.74940	+	3.89677i	−0.594251	+	0.343091i
$130$	−1.44485	+	24.9670i	−0.126722	+	2.18975i
$131$	−9.07687	+	15.7216i	−0.793049	+	1.37360i	0.131021	+	0.991380i	$0.458175\pi$
$131$	−9.07687	+	15.7216i	−0.793049	+	1.37360i	−0.924070	+	0.382222i	$0.875159\pi$
$132$	−1.55225	−	0.180263i	−0.135106	−	0.0156899i
$133$	−0.513302	+	0.889064i	−0.0445089	+	0.0770917i
$134$	−10.5664	+	16.0785i	−0.912802	+	1.38897i
$135$	26.8087	−	15.4780i	2.30733	−	1.33214i
$136$	8.92500	−	10.6605i	0.765313	−	0.914132i
$137$	5.99499			0.512187			0.256093	−	0.966652i	$-0.417565\pi$
$137$	5.99499			0.512187			0.256093	+	0.966652i	$0.417565\pi$
$138$	15.2078	+	9.99421i	1.29457	+	0.850764i
$139$	−5.97882	−	3.45187i	−0.507117	−	0.292784i	0.224531	−	0.974467i	$-0.427915\pi$
$139$	−5.97882	−	3.45187i	−0.507117	−	0.292784i	−0.731648	+	0.681683i	$0.761248\pi$
$140$	−3.05370	−	7.06484i	−0.258085	−	0.597088i
$141$	−25.1348	+	14.5116i	−2.11674	+	1.22210i
$142$	−3.96061	−	2.60282i	−0.332367	−	0.218424i
$143$	−1.01226	+	0.584430i	−0.0846496	+	0.0488725i
$144$	−21.8767	−	5.15055i	−1.82306	−	0.429212i
$145$	−18.2447	−	31.6008i	−1.51514	−	2.62430i
$146$	2.68580	−	1.35011i	0.222278	−	0.111736i
$147$			17.8688i			1.47380i
$148$	9.17539	+	7.98825i	0.754213	+	0.656630i
$149$			10.1988i			0.835518i	0.908558	+	0.417759i	$0.137184\pi$
$149$			10.1988i			0.835518i	−0.908558	+	0.417759i	$0.862816\pi$
$150$	20.9095	+	41.5957i	1.70725	+	3.39627i
$151$	−3.35091	−	5.80394i	−0.272693	−	0.472318i	0.696858	−	0.717210i	$-0.254581\pi$
$151$	−3.35091	−	5.80394i	−0.272693	−	0.472318i	−0.969550	+	0.244892i	$0.921248\pi$
$152$	−2.85382	+	1.04231i	−0.231475	+	0.0845424i
$153$	−23.9189	+	13.8096i	−1.93373	+	1.11644i
$154$	0.197558	−	0.300616i	0.0159197	−	0.0242243i
$155$	12.1344	−	7.00582i	0.974661	−	0.562721i
$156$	−23.6700	+	10.2311i	−1.89512	+	0.819146i
$157$	4.59334	+	2.65197i	0.366588	+	0.211650i	0.671967	−	0.740581i	$-0.265450\pi$
$157$	4.59334	+	2.65197i	0.366588	+	0.211650i	−0.305379	+	0.952231i	$0.598783\pi$
$158$	4.23948	−	6.45103i	0.337275	−	0.513217i
$159$	2.35149			0.186485
$160$	6.49218	−	21.8330i	0.513252	−	1.72605i
$161$	−3.62781	+	2.09452i	−0.285911	+	0.165071i
$162$	6.75285	+	4.43782i	0.530554	+	0.348668i
$163$	−6.57728	+	11.3922i	−0.515173	+	0.892305i	0.484672	+	0.874696i	$0.338939\pi$
$163$	−6.57728	+	11.3922i	−0.515173	+	0.892305i	−0.999845	+	0.0176092i	$0.994395\pi$
$164$	10.3352	+	1.20022i	0.807042	+	0.0937217i
$165$	−1.57307	+	2.72463i	−0.122463	+	0.212112i
$166$	20.8179	+	1.20474i	1.61578	+	0.0935061i
$167$	−3.41713	+	1.97288i	−0.264425	+	0.152666i	−0.626351	−	0.779541i	$-0.715453\pi$
$167$	−3.41713	+	1.97288i	−0.264425	+	0.152666i	0.361926	+	0.932207i	$0.382119\pi$
$168$	5.09433	−	6.08495i	0.393036	−	0.469464i
$169$	−3.14393	+	5.44545i	−0.241841	+	0.418881i
$170$	−12.5718	−	25.0094i	−0.964214	−	1.91813i
$171$	6.03544			0.461542
$172$	3.16737	−	4.26113i	0.241510	−	0.324908i
$173$	−16.4978	−	9.52503i	−1.25431	−	0.724174i	−0.282345	−	0.959313i	$-0.591112\pi$
$173$	−16.4978	−	9.52503i	−1.25431	−	0.724174i	−0.971962	+	0.235139i	$0.924446\pi$
$174$	20.6631	−	31.4422i	1.56647	−	2.38363i
$175$	−10.7168			−0.810113
$176$	1.01941	−	0.306842i	0.0768406	−	0.0231291i
$177$		−	35.4256i		−	2.66275i
$178$	8.28021	+	0.479180i	0.620628	+	0.0359161i
$179$	−10.2621			−0.767027			−0.383513	−	0.923535i	$-0.625286\pi$
$179$	−10.2621			−0.767027			−0.383513	+	0.923535i	$0.625286\pi$
$180$	−26.9935	+	36.3148i	−2.01197	+	2.70675i
$181$	4.76456	−	2.75082i	0.354147	−	0.204467i	−0.312363	−	0.949963i	$-0.601121\pi$
$181$	4.76456	−	2.75082i	0.354147	−	0.204467i	0.666510	+	0.745496i	$0.267787\pi$
$182$	0.342941	−	5.92600i	0.0254205	−	0.439264i
$183$	−15.1145	−	8.72637i	−1.11730	−	0.645072i
$184$	−12.2114	−	2.13916i	−0.900235	−	0.157701i
$185$	22.0919	−	10.5755i	1.62423	−	0.777527i
$186$	12.0736	+	7.93448i	0.885277	+	0.581784i
$187$	0.654130	−	1.13299i	0.0478347	−	0.0828521i
$188$	11.7953	−	15.8685i	0.860263	−	1.15733i
$189$	−6.36313	+	3.67375i	−0.462850	+	0.267226i
$190$	−0.353390	+	6.10656i	−0.0256376	+	0.443017i
$191$			14.4151i			1.04304i	0.853239	+	0.521519i	$0.174635\pi$
$191$			14.4151i			1.04304i	−0.853239	+	0.521519i	$0.825365\pi$
$192$	23.1202	−	4.12988i	1.66855	−	0.298049i
$193$			10.7469i			0.773580i	0.922168	+	0.386790i	$0.126416\pi$
$193$			10.7469i			0.773580i	−0.922168	+	0.386790i	$0.873584\pi$
$194$	1.23028	+	2.44742i	0.0883290	+	0.175715i
$195$			51.9158i			3.71777i
$196$	−4.82986	−	11.1740i	−0.344990	−	0.798146i
$197$	11.6291	+	6.71408i	0.828541	+	0.478359i	0.853353	−	0.521333i	$-0.174565\pi$
$197$	11.6291	+	6.71408i	0.828541	+	0.478359i	−0.0248115	+	0.999692i	$0.507899\pi$
$198$	−2.11128	−	0.122181i	−0.150042	−	0.00868302i
$199$		−	7.43159i		−	0.526812i	−0.964685	−	0.263406i	$-0.915154\pi$
$199$		−	7.43159i		−	0.526812i	0.964685	−	0.263406i	$-0.0848458\pi$
$200$	−24.3186	−	20.3596i	−1.71959	−	1.43964i
$201$	−19.9699	+	34.5889i	−1.40857	+	2.43971i
$202$	3.11283	+	6.19243i	0.219018	+	0.435698i
$203$	4.33043	+	7.50053i	0.303937	+	0.526434i
$204$	17.2179	−	23.1636i	1.20550	−	1.62178i
$205$	10.4738	−	18.1411i	0.731520	−	1.26703i
$206$	−4.23426	−	8.42330i	−0.295015	−	0.586879i
$207$	21.3280	+	12.3137i	1.48240	+	0.855864i
$208$	12.0363	−	12.7958i	0.834569	−	0.887230i
$209$	−0.247584	+	0.142943i	−0.0171258	+	0.00988756i
$210$	−7.17590	−	14.2752i	−0.495184	−	0.985079i
$211$			12.8769i			0.886480i	0.896403	+	0.443240i	$0.146171\pi$
$211$			12.8769i			0.886480i	−0.896403	+	0.443240i	$0.853829\pi$
$212$	−1.47047	+	0.635596i	−0.100992	+	0.0436529i
$213$	−8.52025	−	4.91917i	−0.583798	−	0.337056i
$214$	1.02463	−	1.55913i	0.0700422	−	0.106580i
$215$	−5.34465	−	9.25720i	−0.364502	−	0.631336i
$216$	−21.4186	−	3.75206i	−1.45735	−	0.255295i
$217$	−2.88014	+	1.66285i	−0.195517	+	0.112882i
$218$	−0.846553	+	14.6284i	−0.0573358	+	0.990761i
$219$	5.40421	−	3.12012i	0.365183	−	0.210838i
$220$	0.247241	−	2.12901i	0.0166690	−	0.143538i
$221$		−	21.5882i		−	1.45218i
$222$	19.9734	+	15.4547i	1.34053	+	1.03725i
$223$	7.72684			0.517427			0.258714	−	0.965954i	$-0.416701\pi$
$223$	7.72684			0.517427			0.258714	+	0.965954i	$0.416701\pi$
$224$	−1.54094	+	5.18212i	−0.102958	+	0.346245i
$225$	31.5022	+	54.5634i	2.10015	+	3.63756i
$226$	−16.3975	−	0.948930i	−1.09074	−	0.0631219i
$227$	1.44010	+	2.49433i	0.0955830	+	0.165555i	0.909852	−	0.414933i	$-0.136195\pi$
$227$	1.44010	+	2.49433i	0.0955830	+	0.165555i	−0.814269	+	0.580488i	$0.802862\pi$
$228$	−5.78934	+	2.50238i	−0.383408	+	0.165724i
$229$	7.32835	−	4.23103i	0.484271	−	0.279594i	−0.237924	−	0.971284i	$-0.576467\pi$
$229$	7.32835	−	4.23103i	0.484271	−	0.279594i	0.722195	+	0.691690i	$0.243133\pi$
$230$	−13.7077	+	20.8584i	−0.903856	+	1.37536i
$231$	0.373372	−	0.646700i	0.0245661	−	0.0425497i
$232$	−4.42274	+	25.2472i	−0.290367	+	1.65756i
$233$	−17.7454			−1.16254			−0.581269	−	0.813712i	$-0.697444\pi$
$233$	−17.7454			−1.16254			−0.581269	+	0.813712i	$0.697444\pi$
$234$	−31.1797	+	15.6735i	−2.03828	+	1.02461i
$235$	−19.9035	−	34.4739i	−1.29836	−	2.24883i
$236$	9.57539	+	22.1530i	0.623305	+	1.44204i
$237$	8.01234	−	13.8778i	0.520457	−	0.901459i
$238$	2.98396	+	5.93604i	0.193421	+	0.384777i
$239$	7.09612	+	4.09695i	0.459010	+	0.265009i	0.711628	−	0.702557i	$-0.247958\pi$
$239$	7.09612	+	4.09695i	0.459010	+	0.265009i	−0.252618	+	0.967566i	$0.581292\pi$
$240$	10.8361	−	46.0259i	0.699468	−	2.97096i
$241$	−13.6418	+	7.87612i	−0.878748	+	0.507345i	−0.870245	−	0.492619i	$-0.836040\pi$
$241$	−13.6418	+	7.87612i	−0.878748	+	0.507345i	−0.00850247	+	0.999964i	$0.502706\pi$
$242$	−13.8096	+	6.94185i	−0.887712	+	0.446239i
$243$	−5.44677	−	3.14469i	−0.349410	−	0.201732i
$244$	11.8104	+	1.37154i	0.756082	+	0.0878037i
$245$	−24.5082			−1.56577
$246$	21.5629	+	1.24786i	1.37480	+	0.0795604i
$247$	−2.35876	+	4.08549i	−0.150084	+	0.259954i
$248$	−9.69470	−	1.69830i	−0.615614	−	0.107842i
$249$	43.2882			2.74328
$250$	−31.6120	+	15.8909i	−1.99932	+	1.00503i
$251$	25.5272			1.61126			0.805631	−	0.592417i	$-0.201826\pi$
$251$	25.5272			1.61126			0.805631	+	0.592417i	$0.201826\pi$
$252$	6.40698	−	8.61944i	0.403602	−	0.542973i
$253$	−1.16655			−0.0733404
$254$	0.672196	−	11.6155i	0.0421773	−	0.728823i
$255$	−29.0537	−	50.3224i	−1.81941	−	3.15131i
$256$	−13.3416	+	8.83185i	−0.833850	+	0.551990i
$257$	−0.160125	−	0.0924484i	−0.00998834	−	0.00576677i	0.494998	−	0.868894i	$-0.335169\pi$
$257$	−0.160125	−	0.0924484i	−0.00998834	−	0.00576677i	−0.504986	+	0.863128i	$0.668502\pi$
$258$	6.05311	−	9.21076i	0.376850	−	0.573437i
$259$	−5.24357	+	2.51013i	−0.325820	+	0.155972i
$260$	−14.0326	−	32.4649i	−0.870265	−	2.01339i
$261$	25.4588	−	44.0959i	1.57586	−	2.72947i
$262$	1.48324	−	25.6304i	0.0916350	−	1.58345i
$263$	−3.47874	−	6.02535i	−0.214508	−	0.371539i	0.738612	−	0.674131i	$-0.235481\pi$
$263$	−3.47874	−	6.02535i	−0.214508	−	0.371539i	−0.953120	+	0.302592i	$0.902148\pi$
$264$	2.07585	−	0.758169i	0.127760	−	0.0466621i
$265$			3.22520i			0.198123i
$266$	0.0838781	−	1.44941i	0.00514290	−	0.0888691i
$267$	17.2176			1.05370
$268$	3.13870	−	27.0275i	0.191727	−	1.65097i
$269$			27.7556i			1.69229i	0.532955	+	0.846144i	$0.321082\pi$
$269$			27.7556i			1.69229i	−0.532955	+	0.846144i	$0.678918\pi$
$270$	−24.0431	+	36.5853i	−1.46321	+	2.22651i
$271$	12.2906	−	21.2880i	0.746601	−	1.29315i	−0.202842	−	0.979212i	$-0.565018\pi$
$271$	12.2906	−	21.2880i	0.746601	−	1.29315i	0.949443	−	0.313940i	$-0.101649\pi$
$272$	−4.50599	+	19.1390i	−0.273216	+	1.16047i
$273$		−	12.3224i		−	0.745783i
$274$	−7.57498	+	3.80783i	−0.457621	+	0.230039i
$275$	−2.58455	−	1.49219i	−0.155854	−	0.0899825i
$276$	−25.5638	−	2.96872i	−1.53876	−	0.178696i
$277$	1.72174	+	2.98214i	0.103449	+	0.179179i	0.913104	−	0.407728i	$-0.133679\pi$
$277$	1.72174	+	2.98214i	0.103449	+	0.179179i	−0.809654	+	0.586907i	$0.800345\pi$
$278$	9.74707	+	0.564068i	0.584590	+	0.0338305i
$279$	16.9325	+	9.77597i	1.01372	+	0.585272i
$280$	8.34586	+	6.98717i	0.498761	+	0.417563i
$281$	7.58117	+	4.37699i	0.452255	+	0.261109i	0.708782	−	0.705428i	$-0.249245\pi$
$281$	7.58117	+	4.37699i	0.452255	+	0.261109i	−0.256527	+	0.966537i	$0.582578\pi$
$282$	22.5419	−	34.3010i	1.34235	−	2.04259i
$283$	−15.3095	−	26.5168i	−0.910054	−	1.57626i	−0.813985	−	0.580886i	$-0.802706\pi$
$283$	−15.3095	−	26.5168i	−0.910054	−	1.57626i	−0.0960696	−	0.995375i	$-0.530627\pi$
$284$	6.65766	+	0.773153i	0.395059	+	0.0458782i
$285$			12.6978i			0.752154i
$286$	0.907834	−	1.38141i	0.0536814	−	0.0816847i
$287$	−2.48598	+	4.30584i	−0.146743	+	0.254166i
$288$	30.9138	−	7.38741i	1.82161	−	0.435307i
$289$	3.58140	+	6.20316i	0.210670	+	0.364892i
$290$	43.1249	+	28.3407i	2.53238	+	1.66423i
$291$	2.84320	+	4.92457i	0.166671	+	0.288683i
$292$	−2.53610	+	3.41186i	−0.148414	+	0.199664i
$293$	−1.62446	+	0.937880i	−0.0949017	+	0.0547915i	−0.546700	−	0.837329i	$-0.684116\pi$
$293$	−1.62446	+	0.937880i	−0.0949017	+	0.0547915i	0.451798	+	0.892120i	$0.350783\pi$
$294$	−11.3497	−	22.5782i	−0.661928	−	1.31679i
$295$	48.5884			2.82892
$296$	−16.6675	−	4.26566i	−0.968776	−	0.247936i
$297$	−2.04611			−0.118728
$298$	−6.47794	−	12.8867i	−0.375257	−	0.746506i
$299$	−16.6708	+	9.62488i	−0.964096	+	0.556621i
$300$	−52.8405	−	39.2773i	−3.05074	−	2.26767i
$301$	1.26857	+	2.19722i	0.0731191	+	0.126646i
$302$	7.92052	+	5.20519i	0.455775	+	0.299525i
$303$	7.19381	+	12.4600i	0.413274	+	0.715811i
$304$	2.94390	−	3.12966i	0.168844	−	0.179499i
$305$	11.9687	−	20.7305i	0.685328	−	1.18702i
$306$	21.4514	−	32.6416i	1.22629	−	1.86600i
$307$		−	12.7844i		−	0.729646i	−0.931077	−	0.364823i	$-0.881129\pi$
$307$		−	12.7844i		−	0.729646i	0.931077	−	0.364823i	$-0.118871\pi$
$308$	−0.0586835	+	0.505326i	−0.00334380	+	0.0287936i
$309$	−9.78545	−	16.9489i	−0.556675	−	0.964189i
$310$	−10.8826	+	16.5596i	−0.618091	+	0.940523i
$311$	5.46817	+	3.15705i	0.310071	+	0.179020i	0.646958	−	0.762525i	$-0.276041\pi$
$311$	5.46817	+	3.15705i	0.310071	+	0.179020i	−0.336887	+	0.941545i	$0.609374\pi$
$312$	23.4098	−	27.9620i	1.32532	−	1.58304i
$313$	−14.7200	−	8.49862i	−0.832026	−	0.480370i	0.0225198	−	0.999746i	$-0.492831\pi$
$313$	−14.7200	−	8.49862i	−0.832026	−	0.480370i	−0.854546	+	0.519376i	$0.826164\pi$
$314$	−7.48836	−	0.433355i	−0.422593	−	0.0244556i
$315$	−10.8112	−	18.7255i	−0.609142	−	1.05506i
$316$	−1.25931	+	10.8440i	−0.0708418	+	0.610022i
$317$	26.7726	+	15.4572i	1.50370	+	0.868160i	0.999991	+	0.00428585i	$0.00136423\pi$
$317$	26.7726	+	15.4572i	1.50370	+	0.868160i	0.503707	+	0.863875i	$0.331969\pi$
$318$	−2.97122	+	1.49359i	−0.166618	+	0.0837562i
$319$			2.41185i			0.135038i
$320$	5.66438	+	31.7107i	0.316649	+	1.77268i
$321$	1.93648	−	3.35409i	0.108084	−	0.187207i
$322$	3.25355	−	4.95079i	0.181313	−	0.275897i
$323$		−	5.28014i		−	0.293795i
$324$	−11.3513	−	1.31823i	−0.630630	−	0.0732350i
$325$	−49.2466			−2.73171
$326$	1.07479	−	18.5723i	0.0595270	−	1.02862i
$327$			30.4179i			1.68211i
$328$	−13.8214	+	5.04803i	−0.763158	+	0.278731i
$329$	4.72416	+	8.18249i	0.260452	+	0.451115i
$330$	0.257054	−	4.44188i	0.0141503	−	0.244517i
$331$	1.89004	−	3.27364i	0.103886	−	0.179936i	−0.809397	−	0.587262i	$-0.800206\pi$
$331$	1.89004	−	3.27364i	0.103886	−	0.179936i	0.913282	+	0.407327i	$0.133539\pi$
$332$	−27.0697	+	11.7006i	−1.48564	+	0.642154i
$333$	28.1937	+	19.3185i	1.54500	+	1.05865i
$334$	3.06461	−	4.66328i	0.167688	−	0.255163i
$335$	−47.4407	−	27.3899i	−2.59196	−	1.49647i
$336$	−2.57198	+	10.9244i	−0.140313	+	0.595974i
$337$	0.793286	+	1.37401i	0.0432131	+	0.0748472i	0.886823	−	0.462109i	$-0.152907\pi$
$337$	0.793286	+	1.37401i	0.0432131	+	0.0748472i	−0.843610	+	0.536957i	$0.819574\pi$
$338$	0.513747	−	8.87754i	0.0279442	−	0.482874i
$339$	−34.0965			−1.85187
$340$	31.7703	+	23.6154i	1.72298	+	1.28072i
$341$	−0.926133			−0.0501529
$342$	−7.62609	+	3.83351i	−0.412372	+	0.207293i
$343$	12.5071			0.675321
$344$	−1.29561	+	7.39596i	−0.0698545	+	0.398764i
$345$	−25.9066	+	44.8715i	−1.39476	+	2.41580i
$346$	26.8958	+	1.55648i	1.44593	+	0.0836767i
$347$	−21.3700			−1.14720			−0.573602	−	0.819134i	$-0.694454\pi$
$347$	−21.3700			−1.14720			−0.573602	+	0.819134i	$0.694454\pi$
$348$	−6.13786	+	52.8534i	−0.329024	+	2.83324i
$349$	18.5185	+	10.6916i	0.991271	+	0.572311i	0.905654	−	0.424018i	$-0.139381\pi$
$349$	18.5185	+	10.6916i	0.991271	+	0.572311i	0.0856170	+	0.996328i	$0.472714\pi$
$350$	13.5412	−	6.80696i	0.723808	−	0.363847i
$351$	−29.2403	+	16.8819i	−1.56073	+	0.901090i
$352$	−1.09318	+	1.03520i	−0.0582665	+	0.0551766i
$353$	11.2459	+	6.49284i	0.598560	+	0.345579i	0.768475	−	0.639880i	$-0.221016\pi$
$353$	11.2459	+	6.49284i	0.598560	+	0.345579i	−0.169915	+	0.985459i	$0.554349\pi$
$354$	22.5012	+	44.7621i	1.19593	+	2.37908i
$355$	6.74693	−	11.6860i	0.358090	−	0.620230i
$356$	−10.7668	+	4.65385i	−0.570641	+	0.246654i
$357$	6.89597	+	11.9442i	0.364974	+	0.632153i
$358$	12.9667	−	6.51816i	0.685312	−	0.344496i
$359$	1.40916			0.0743727			0.0371864	−	0.999308i	$-0.488160\pi$
$359$	1.40916			0.0743727			0.0371864	+	0.999308i	$0.488160\pi$
$360$	11.0416	−	63.0310i	0.581945	−	3.32203i
$361$	8.92308	−	15.4552i	0.469636	−	0.813433i
$362$	−4.27304	+	6.50210i	−0.224586	+	0.341743i
$363$	−27.7868	+	16.0427i	−1.45843	+	0.842025i
$364$	3.33068	+	7.70563i	0.174575	+	0.403885i
$365$	4.27944	+	7.41220i	0.223996	+	0.387972i
$366$	24.6407	+	1.42597i	1.28799	+	0.0745366i
$367$	0.524345	+	0.908192i	0.0273706	+	0.0474072i	0.879386	−	0.476109i	$-0.157953\pi$
$367$	0.524345	+	0.908192i	0.0273706	+	0.0474072i	−0.852016	+	0.523516i	$0.824620\pi$
$368$	16.7884	−	5.05333i	0.875157	−	0.263423i
$369$	29.2304			1.52167
$370$	−21.1970	+	27.3947i	−1.10198	+	1.42419i
$371$		−	0.765512i		−	0.0397434i
$372$	−20.2953	−	2.35689i	−1.05226	−	0.122199i
$373$	−8.94862	+	5.16649i	−0.463342	+	0.267510i	−0.713448	−	0.700708i	$-0.752868\pi$
$373$	−8.94862	+	5.16649i	−0.463342	+	0.267510i	0.250107	+	0.968218i	$0.419534\pi$
$374$	−0.106891	+	1.84707i	−0.00552719	+	0.0955096i
$375$	−63.6079	+	36.7241i	−3.28470	+	1.89642i
$376$	−4.82486	+	27.5427i	−0.248823	+	1.42040i
$377$	19.8995	+	34.4670i	1.02488	+	1.77514i
$378$	5.70669	−	8.68363i	0.293521	−	0.446638i
$379$	9.04003	+	5.21926i	0.464355	+	0.268096i	0.713874	−	0.700274i	$-0.246939\pi$
$379$	9.04003	+	5.21926i	0.464355	+	0.268096i	−0.249519	+	0.968370i	$0.580272\pi$
$380$	−3.43216	−	7.94042i	−0.176066	−	0.407335i
$381$		−	24.1530i		−	1.23740i
$382$	−9.15599	−	18.2142i	−0.468461	−	0.931920i
$383$	−1.62983	+	0.940982i	−0.0832804	+	0.0480819i	−0.541062	−	0.840983i	$-0.681978\pi$
$383$	−1.62983	+	0.940982i	−0.0832804	+	0.0480819i	0.457782	+	0.889065i	$0.348644\pi$
$384$	−26.5903	+	19.9035i	−1.35693	+	1.01570i
$385$	0.886987	+	0.512102i	0.0452051	+	0.0260992i
$386$	−6.82609	−	13.5793i	−0.347439	−	0.691167i
$387$	7.45796	−	12.9176i	0.379110	−	0.656637i
$388$	−3.10905	−	2.31101i	−0.157838	−	0.117324i
$389$	6.72392	+	11.6462i	0.340916	+	0.590484i	0.984603	−	0.174805i	$-0.0559295\pi$
$389$	6.72392	+	11.6462i	0.340916	+	0.590484i	−0.643687	+	0.765289i	$0.722596\pi$
$390$	−32.9752	−	65.5982i	−1.66976	−	3.32170i
$391$	10.7728	−	18.6590i	0.544801	−	0.943624i
$392$	13.2002	+	11.0512i	0.666709	+	0.558170i
$393$		−	53.2951i		−	2.68838i
$394$	−18.9586	−	1.09714i	−0.955119	−	0.0552732i
$395$	19.0342	+	10.9894i	0.957715	+	0.552937i
$396$	2.74532	−	1.18664i	0.137957	−	0.0596307i
$397$			23.3844i			1.17363i	0.809721	+	0.586815i	$0.199619\pi$
$397$			23.3844i			1.17363i	−0.809721	+	0.586815i	$0.800381\pi$
$398$	4.72031	+	9.39020i	0.236608	+	0.470688i
$399$		−	3.01387i		−	0.150882i
$400$	43.6596	+	10.2790i	2.18298	+	0.513949i
$401$		−	0.640444i		−	0.0319822i	−0.999872	−	0.0159911i	$-0.994910\pi$
$401$		−	0.640444i		−	0.0319822i	0.999872	−	0.0159911i	$-0.00509035\pi$
$402$	3.26326	−	56.3890i	0.162757	−	2.81243i
$403$	−13.2351	+	7.64126i	−0.659285	+	0.380638i
$404$	−7.86645	−	5.84728i	−0.391371	−	0.290913i
$405$	−11.5035	+	19.9247i	−0.571616	+	0.990068i
$406$	−10.2358	−	6.72676i	−0.507995	−	0.333843i
$407$	−1.61409	−	0.124744i	−0.0800075	−	0.00618335i
$408$	−7.04296	+	40.2047i	−0.348678	+	1.99043i
$409$	−2.14259	−	1.23703i	−0.105944	−	0.0611670i	0.446092	−	0.894987i	$-0.352816\pi$
$409$	−2.14259	−	1.23703i	−0.105944	−	0.0611670i	−0.552036	+	0.833820i	$0.686149\pi$
$410$	−1.71151	+	29.5748i	−0.0845254	+	1.46060i
$411$	−15.2420	+	8.79995i	−0.751830	+	0.434069i
$412$	10.7004	+	7.95381i	0.527172	+	0.391856i
$413$	−11.5326			−0.567482
$414$	−34.7703	−	2.01218i	−1.70887	−	0.0988931i
$415$			59.3723i			2.91447i
$416$	−7.08103	+	23.8132i	−0.347176	+	1.16754i
$417$	20.2678			0.992518
$418$	0.222043	−	0.337873i	0.0108605	−	0.0165259i
$419$	26.1582	+	15.1024i	1.27791	+	0.737802i	0.976464	−	0.215682i	$-0.0691973\pi$
$419$	26.1582	+	15.1024i	1.27791	+	0.737802i	0.301446	+	0.953483i	$0.402531\pi$
$420$	18.1342	+	13.4795i	0.884860	+	0.657732i
$421$	−4.48895			−0.218778			−0.109389	−	0.993999i	$-0.534889\pi$
$421$	−4.48895			−0.218778			−0.109389	+	0.993999i	$0.534889\pi$
$422$	−8.17897	−	16.2706i	−0.398146	−	0.792040i
$423$	27.7735	−	48.1052i	1.35040	−	2.33895i
$424$	1.45431	−	1.73710i	0.0706274	−	0.0843612i
$425$	47.7352	−	27.5599i	2.31549	−	1.33685i
$426$	13.8903	+	0.803837i	0.672986	+	0.0389460i
$427$	−2.84082	+	4.92044i	−0.137477	+	0.238117i
$428$	−0.304360	+	2.62086i	−0.0147118	+	0.126684i
$429$	1.71575	−	2.97176i	0.0828371	−	0.143478i
$430$	12.6331	+	8.30220i	0.609223	+	0.400368i
$431$	28.5342	−	16.4742i	1.37444	−	0.793535i	0.382959	−	0.923765i	$-0.374905\pi$
$431$	28.5342	−	16.4742i	1.37444	−	0.793535i	0.991484	+	0.130231i	$0.0415717\pi$
$432$	29.4467	−	8.86347i	1.41675	−	0.426444i
$433$	−37.4400			−1.79925			−0.899627	−	0.436659i	$-0.856162\pi$
$433$	−37.4400			−1.79925			−0.899627	+	0.436659i	$0.856162\pi$
$434$	2.58302	−	3.93047i	0.123989	−	0.188669i
$435$	92.7724	+	53.5622i	4.44809	+	2.56811i
$436$	−8.22183	−	19.0215i	−0.393754	−	0.910962i
$437$	−4.07742	+	2.35410i	−0.195050	+	0.112612i
$438$	−4.84670	+	7.37502i	−0.231584	+	0.352392i
$439$	−6.07215	+	3.50576i	−0.289808	+	0.167321i	−0.637855	−	0.770156i	$-0.720178\pi$
$439$	−6.07215	+	3.50576i	−0.289808	+	0.167321i	0.348047	+	0.937477i	$0.386845\pi$
$440$	1.03987	+	2.84715i	0.0495741	+	0.135733i
$441$	−17.0994	−	29.6171i	−0.814259	−	1.41034i
$442$	13.7121	+	27.2778i	0.652218	+	1.29747i
$443$		−	27.9671i		−	1.32876i	−0.747396	−	0.664379i	$-0.768696\pi$
$443$		−	27.9671i		−	1.32876i	0.747396	−	0.664379i	$-0.231304\pi$
$444$	−35.0538	−	6.84131i	−1.66358	−	0.324674i
$445$			23.6150i			1.11946i
$446$	−9.76326	+	4.90784i	−0.462304	+	0.232393i
$447$	−14.9706	−	25.9299i	−0.708086	−	1.22644i
$448$	−1.34446	−	7.52662i	−0.0635197	−	0.355600i
$449$	−16.5486	+	9.55434i	−0.780977	+	0.450897i	−0.836776	−	0.547545i	$-0.815563\pi$
$449$	−16.5486	+	9.55434i	−0.780977	+	0.450897i	0.0557995	+	0.998442i	$0.482229\pi$
$450$	−74.4616	−	48.9345i	−3.51015	−	2.30680i
$451$	−1.19908	+	0.692289i	−0.0564624	+	0.0325986i
$452$	21.3218	−	9.21612i	1.00289	−	0.433490i
$453$	17.0390	+	9.83747i	0.800562	+	0.462205i
$454$	−3.40396	−	2.23701i	−0.159756	−	0.104988i
$455$	16.9009			0.792324
$456$	5.72569	−	6.83908i	0.268130	−	0.320269i
$457$	−9.67641	+	5.58668i	−0.452643	+	0.261334i	−0.708946	−	0.705263i	$-0.750829\pi$
$457$	−9.67641	+	5.58668i	−0.452643	+	0.261334i	0.256303	+	0.966597i	$0.417496\pi$
$458$	−6.57234	+	10.0009i	−0.307105	+	0.467309i
$459$	18.8953	−	32.7276i	0.881956	−	1.52759i
$460$	4.07178	−	35.0623i	0.189848	−	1.63479i
$461$	6.92913	−	12.0016i	0.322722	−	0.558970i	−0.658327	−	0.752732i	$-0.728736\pi$
$461$	6.92913	−	12.0016i	0.322722	−	0.558970i	0.981049	+	0.193762i	$0.0620689\pi$
$462$	−0.0610124	+	1.05429i	−0.00283855	+	0.0490501i
$463$	−21.0493	+	12.1528i	−0.978245	+	0.564790i	−0.901740	−	0.432279i	$-0.857709\pi$
$463$	−21.0493	+	12.1528i	−0.978245	+	0.564790i	−0.0765049	+	0.997069i	$0.524376\pi$
$464$	−10.4478	−	34.7103i	−0.485028	−	1.61138i
$465$	−20.5674	+	35.6238i	−0.953792	+	1.65202i
$466$	22.4222	−	11.2713i	1.03869	−	0.522132i
$467$	−32.2899			−1.49420			−0.747100	−	0.664712i	$-0.768554\pi$
$467$	−32.2899			−1.49420			−0.747100	+	0.664712i	$0.768554\pi$
$468$	29.4418	−	39.6087i	1.36095	−	1.83091i
$469$	11.2602	+	6.50107i	0.519947	+	0.300192i
$470$	47.0459	+	30.9175i	2.17006	+	1.42612i
$471$	−15.5711			−0.717478
$472$	−26.1698	−	21.9094i	−1.20456	−	1.00846i
$473$			0.706535i			0.0324865i
$474$	−1.30929	+	22.6245i	−0.0601376	+	1.03918i
$475$	−12.0450			−0.552661
$476$	−7.54076	−	5.60519i	−0.345630	−	0.256913i
$477$	−3.89752	+	2.25024i	−0.178455	+	0.103031i
$478$	−11.5686	−	0.669478i	−0.529134	−	0.0306212i
$479$	32.9353	+	19.0152i	1.50485	+	0.868827i	0.999984	+	0.00563026i	$0.00179218\pi$
$479$	32.9353	+	19.0152i	1.50485	+	0.868827i	0.504868	+	0.863197i	$0.331541\pi$
$480$	15.5422	+	65.0389i	0.709401	+	2.96860i
$481$	−24.0957	+	11.5347i	−1.09867	+	0.525938i
$482$	12.2345	−	18.6167i	0.557266	−	0.847969i
$483$	6.14901	−	10.6504i	0.279789	−	0.484610i
$484$	13.0399	−	17.5428i	0.592721	−	0.797399i
$485$	−6.75434	+	3.89962i	−0.306699	+	0.177073i
$486$	8.87968	+	0.513871i	0.402790	+	0.0233097i
$487$		−	10.1301i		−	0.459040i	−0.973304	−	0.229520i	$-0.926284\pi$
$487$		−	10.1301i		−	0.459040i	0.973304	−	0.229520i	$-0.0737156\pi$
$488$	−15.7942	+	5.76856i	−0.714968	+	0.261130i
$489$		−	38.6187i		−	1.74640i
$490$	30.9673	−	15.5668i	1.39896	−	0.703236i
$491$		−	15.2115i		−	0.686484i	−0.939247	−	0.343242i	$-0.888475\pi$
$491$		−	15.2115i		−	0.686484i	0.939247	−	0.343242i	$-0.111525\pi$
$492$	−28.0384	+	12.1193i	−1.26407	+	0.546382i
$493$	−38.5776	−	22.2728i	−1.73745	−	1.00312i
$494$	0.385443	−	6.66044i	0.0173419	−	0.299667i
$495$		−	6.02134i		−	0.270639i
$496$	13.3285	−	4.01188i	0.598465	−	0.180139i
$497$	−1.60140	+	2.77371i	−0.0718328	+	0.124418i
$498$	−54.6968	+	27.4952i	−2.45102	+	1.23209i
$499$	−15.7138	−	27.2170i	−0.703444	−	1.21840i	−0.967250	−	0.253826i	$-0.918311\pi$
$499$	−15.7138	−	27.2170i	−0.703444	−	1.21840i	0.263806	−	0.964576i	$-0.415022\pi$
$500$	29.8501	−	40.1579i	1.33494	−	1.79591i
$501$	5.79191	−	10.0319i	0.258763	−	0.448191i
$502$	−32.2549	+	16.2140i	−1.43961	+	0.723668i
$503$	−12.5721	−	7.25849i	−0.560561	−	0.323640i	0.192809	−	0.981236i	$-0.438240\pi$
$503$	−12.5721	−	7.25849i	−0.560561	−	0.323640i	−0.753371	+	0.657596i	$0.771573\pi$
$504$	−2.62076	+	14.9606i	−0.116738	+	0.666398i
$505$	−17.0897	+	9.86674i	−0.760482	+	0.439064i
$506$	1.47400	−	0.740954i	0.0655271	−	0.0329394i
$507$		−	18.4597i		−	0.819824i
$508$	6.52845	+	15.1038i	0.289653	+	0.670121i
$509$	−34.4073	−	19.8651i	−1.52508	−	0.880504i	−0.999558	−	0.0297222i	$-0.990538\pi$
$509$	−34.4073	−	19.8651i	−1.52508	−	0.880504i	−0.525519	−	0.850782i	$-0.676129\pi$
$510$	68.6739	+	45.1310i	3.04093	+	1.99843i
$511$	−1.01574	−	1.75931i	−0.0449336	−	0.0778272i
$512$	11.2481	−	19.6336i	0.497101	−	0.867693i
$513$	−7.15174	+	4.12906i	−0.315757	+	0.182303i
$514$	0.261047	+	0.0151069i	0.0115143	+	0.000666337i
$515$	23.2464	−	13.4213i	1.02436	−	0.591414i
$516$	−1.79804	+	15.4830i	−0.0791543	+	0.681602i
$517$			2.63114i			0.115718i
$518$	5.03117	−	6.50223i	0.221057	−	0.285691i
$519$	55.9265			2.45490
$520$	38.3515	+	32.1080i	1.68183	+	1.40803i
$521$	11.4803	+	19.8845i	0.502962	+	0.871155i	0.999994	+	0.00342322i	$0.00108965\pi$
$521$	11.4803	+	19.8845i	0.502962	+	0.871155i	−0.497032	+	0.867732i	$0.665577\pi$
$522$	−4.16020	+	71.8881i	−0.182087	+	3.14646i
$523$	17.9650	+	31.1163i	0.785555	+	1.36062i	0.928667	+	0.370915i	$0.120956\pi$
$523$	17.9650	+	31.1163i	0.785555	+	1.36062i	−0.143111	+	0.989707i	$0.545711\pi$
$524$	14.4054	+	33.3274i	0.629304	+	1.45591i
$525$	27.2469	−	15.7310i	1.18915	−	0.686557i
$526$	8.22267	+	5.40376i	0.358525	+	0.235615i
$527$	8.55257	−	14.8135i	0.372556	−	0.645285i
$528$	−2.14138	+	2.27650i	−0.0931915	+	0.0990718i
$529$	3.78829			0.164708
$530$	−2.04854	−	4.07521i	−0.0889831	−	0.177016i
$531$	33.9003	+	58.7170i	1.47115	+	2.54810i
$532$	0.814634	+	1.88468i	0.0353189	+	0.0817113i
$533$	−11.4238	+	19.7865i	−0.494818	+	0.857050i
$534$	−21.7554	+	10.9361i	−0.941447	+	0.473251i
$535$	4.60033	+	2.65600i	0.198890	+	0.114829i
$536$	13.2011	+	36.1442i	0.570199	+	1.56119i
$537$	26.0909	−	15.0636i	1.12590	−	0.650042i
$538$	−17.6294	−	35.0706i	−0.760059	−	1.51200i
$539$	1.40290	+	0.809963i	0.0604270	+	0.0348876i
$540$	7.14185	−	61.4988i	0.307336	−	2.64649i
$541$	−32.0237			−1.37681			−0.688404	−	0.725328i	$-0.741688\pi$
$541$	−32.0237			−1.37681			−0.688404	+	0.725328i	$0.741688\pi$
$542$	−2.00840	+	34.7050i	−0.0862680	+	1.49071i
$543$	−8.07577	+	13.9876i	−0.346564	+	0.600267i
$544$	−6.46292	−	27.0451i	−0.277095	−	1.15955i
$545$	−41.7200			−1.78709
$546$	7.82676	+	15.5699i	0.334955	+	0.666332i
$547$	11.5140			0.492301			0.246151	−	0.969232i	$-0.420834\pi$
$547$	11.5140			0.492301			0.246151	+	0.969232i	$0.420834\pi$
$548$	7.15277	−	9.62277i	0.305551	−	0.411064i
$549$	33.4025			1.42559
$550$	4.21350	+	0.243837i	0.179664	+	0.0103973i
$551$	4.86713	+	8.43011i	0.207347	+	0.359135i
$552$	34.1868	−	12.4862i	1.45509	−	0.531446i
$553$	−4.51782	−	2.60837i	−0.192117	−	0.110919i
$554$	−4.06966	−	2.67449i	−0.172903	−	0.113628i
$555$	−40.6438	+	59.3160i	−1.72523	+	2.51782i
$556$	−12.6742	+	5.47829i	−0.537506	+	0.232331i
$557$	−0.263080	+	0.455668i	−0.0111470	+	0.0193073i	−0.871545	−	0.490315i	$-0.836882\pi$
$557$	−0.263080	+	0.455668i	−0.0111470	+	0.0193073i	0.860398	+	0.509623i	$0.170215\pi$
$558$	−27.6044	−	1.59748i	−1.16859	−	0.0676268i
$559$	5.82942	+	10.0969i	0.246558	+	0.427051i
$560$	−14.9835	−	3.52763i	−0.633166	−	0.149070i
$561$			3.84074i			0.162156i
$562$	−12.3593	−	0.715240i	−0.521347	−	0.0301706i
$563$	12.9966			0.547740			0.273870	−	0.961767i	$-0.411696\pi$
$563$	12.9966			0.547740			0.273870	+	0.961767i	$0.411696\pi$
$564$	−6.69593	+	57.6589i	−0.281949	+	2.42788i
$565$		−	46.7653i		−	1.96743i
$566$	36.1869	+	23.7813i	1.52105	+	0.999601i
$567$	2.73040	−	4.72919i	0.114666	−	0.198607i
$568$	−8.90338	+	3.25181i	−0.373577	+	0.136443i
$569$		−	19.0787i		−	0.799820i	−0.916555	−	0.399910i	$-0.869041\pi$
$569$		−	19.0787i		−	0.799820i	0.916555	−	0.399910i	$-0.130959\pi$
$570$	−8.06524	−	16.0443i	−0.337816	−	0.672024i
$571$	−28.5852	−	16.5037i	−1.19625	−	0.690658i	−0.236536	−	0.971623i	$-0.576012\pi$
$571$	−28.5852	−	16.5037i	−1.19625	−	0.690658i	−0.959718	+	0.280965i	$0.909346\pi$
$572$	−0.269667	+	2.32211i	−0.0112753	+	0.0970924i
$573$	−21.1596	−	36.6496i	−0.883957	−	1.53106i
$574$	0.406232	−	7.01967i	0.0169558	−	0.292995i
$575$	−42.5645	−	24.5746i	−1.77506	−	1.02483i
$576$	−34.3690	+	28.9698i	−1.43204	+	1.20708i
$577$	16.0643	+	9.27473i	0.668766	+	0.386112i	0.795609	−	0.605811i	$-0.207151\pi$
$577$	16.0643	+	9.27473i	0.668766	+	0.386112i	−0.126843	+	0.991923i	$0.540484\pi$
$578$	−8.46533	−	5.56323i	−0.352111	−	0.231400i
$579$	−15.7752	−	27.3235i	−0.655595	−	1.13552i
$580$	−72.4916	−	8.41845i	−3.01005	−	0.349557i
$581$		−	14.0922i		−	0.584642i
$582$	−6.72045	−	4.41654i	−0.278572	−	0.183071i
$583$	0.106589	−	0.184617i	0.00441445	−	0.00764606i
$584$	1.03739	−	5.92192i	0.0429274	−	0.245051i
$585$	−49.6804	−	86.0490i	−2.05403	−	3.55769i
$586$	1.45687	−	2.21686i	0.0601828	−	0.0915776i
$587$	−6.22086	−	10.7748i	−0.256762	−	0.444726i	0.708610	−	0.705600i	$-0.249322\pi$
$587$	−6.22086	−	10.7748i	−0.256762	−	0.444726i	−0.965373	+	0.260875i	$0.915989\pi$
$588$	28.6819	+	21.3197i	1.18282	+	0.879211i
$589$	−3.23710	+	1.86894i	−0.133382	+	0.0770083i
$590$	−61.3939	+	30.8617i	−2.52755	+	1.27056i
$591$	−39.4219			−1.62160
$592$	23.7696	−	5.19675i	0.976924	−	0.213585i
$593$	25.8092			1.05986			0.529928	−	0.848042i	$-0.322219\pi$
$593$	25.8092			1.05986			0.529928	+	0.848042i	$0.322219\pi$
$594$	2.58537	−	1.29962i	0.106079	−	0.0533242i
$595$	−16.3821	+	9.45824i	−0.671602	+	0.387750i
$596$	16.3704	+	12.1684i	0.670559	+	0.498438i
$597$	10.9087	+	18.8944i	0.446464	+	0.773298i
$598$	14.9510	−	22.7503i	0.611391	−	0.930327i
$599$	−4.13152	−	7.15600i	−0.168809	−	0.292386i	0.769192	−	0.639017i	$-0.220659\pi$
$599$	−4.13152	−	7.15600i	−0.168809	−	0.292386i	−0.938001	+	0.346631i	$0.887326\pi$
$600$	91.7143	+	16.0663i	3.74422	+	0.655904i
$601$	−15.2401	+	26.3966i	−0.621657	+	1.07674i	0.367520	+	0.930015i	$0.380207\pi$
$601$	−15.2401	+	26.3966i	−0.621657	+	1.07674i	−0.989177	+	0.146726i	$0.953127\pi$
$602$	−2.99851	−	1.97055i	−0.122210	−	0.0803137i
$603$		−	76.4401i		−	3.11288i
$604$	−13.3141	−	1.54617i	−0.541745	−	0.0629128i
$605$	−22.0036	−	38.1113i	−0.894572	−	1.54944i
$606$	−17.0040	−	11.1746i	−0.690739	−	0.453939i
$607$	−19.5500	−	11.2872i	−0.793511	−	0.458134i	0.0476864	−	0.998862i	$-0.484815\pi$
$607$	−19.5500	−	11.2872i	−0.793511	−	0.458134i	−0.841197	+	0.540729i	$0.818149\pi$
$608$	−1.73191	+	5.82436i	−0.0702384	+	0.236209i
$609$	−22.0198	−	12.7131i	−0.892287	−	0.515162i
$610$	−1.95580	+	33.7962i	−0.0791881	+	1.36837i
$611$	21.7088	+	37.6008i	0.878245	+	1.52116i
$612$	−6.37200	+	54.8696i	−0.257573	+	2.21797i
$613$	8.64486	+	4.99111i	0.349163	+	0.201589i	0.664316	−	0.747451i	$-0.268723\pi$
$613$	8.64486	+	4.99111i	0.349163	+	0.201589i	−0.315154	+	0.949041i	$0.602056\pi$
$614$	8.12026	+	16.1538i	0.327707	+	0.651914i
$615$			61.4971i			2.47980i
$616$	−0.246817	−	0.675780i	−0.00994455	−	0.0272279i
$617$	−8.21863	+	14.2351i	−0.330870	+	0.573083i	−0.982683	−	0.185297i	$-0.940675\pi$
$617$	−8.21863	+	14.2351i	−0.330870	+	0.573083i	0.651813	+	0.758380i	$0.274009\pi$
$618$	23.1298	+	15.2004i	0.930417	+	0.611450i
$619$			4.06275i			0.163296i	0.996661	+	0.0816478i	$0.0260183\pi$
$619$			4.06275i			0.163296i	−0.996661	+	0.0816478i	$0.973982\pi$
$620$	3.23262	−	27.8362i	0.129825	−	1.11793i
$621$	−33.6971			−1.35222
$622$	−8.91456	−	0.515890i	−0.357441	−	0.0206853i
$623$		−	5.60510i		−	0.224563i
$624$	−11.8190	+	50.2006i	−0.473137	+	2.00963i
$625$	−22.3359	−	38.6870i	−0.893438	−	1.54748i
$626$	23.9976	+	1.38875i	0.959136	+	0.0555057i
$627$	0.419646	−	0.726849i	0.0167591	−	0.0290275i
$628$	9.73718	−	4.20880i	0.388556	−	0.167949i
$629$	16.9009	−	24.6654i	0.673885	−	0.983473i
$630$	25.5543	+	16.7938i	1.01811	+	0.669079i
$631$	−22.2326	−	12.8360i	−0.885066	−	0.510993i	−0.0127409	−	0.999919i	$-0.504056\pi$
$631$	−22.2326	−	12.8360i	−0.885066	−	0.510993i	−0.872326	+	0.488925i	$0.837389\pi$
$632$	−5.29655	−	14.5018i	−0.210685	−	0.576851i
$633$	−18.9017	−	32.7388i	−0.751276	−	1.30125i
$634$	−43.6464	−	2.52584i	−1.73342	−	0.100314i
$635$	33.1273			1.31462
$636$	2.80562	−	3.77445i	0.111250	−	0.149667i
$637$	26.7311			1.05912
$638$	−1.53193	−	3.04750i	−0.0606497	−	0.120652i
$639$	18.8294			0.744881
$640$	−27.2988	−	36.4702i	−1.07908	−	1.44161i
$641$	4.02366	−	6.96918i	0.158925	−	0.275266i	−0.775556	−	0.631278i	$-0.782531\pi$
$641$	4.02366	−	6.96918i	0.158925	−	0.275266i	0.934481	+	0.356012i	$0.115864\pi$
$642$	−0.316439	+	5.46805i	−0.0124888	+	0.215807i
$643$	24.0799			0.949619			0.474810	−	0.880089i	$-0.342517\pi$
$643$	24.0799			0.949619			0.474810	+	0.880089i	$0.342517\pi$
$644$	−0.966449	+	8.32214i	−0.0380834	+	0.327938i
$645$	27.1770	+	15.6906i	1.07009	+	0.617818i
$646$	3.35377	+	6.67173i	0.131952	+	0.262496i
$647$	5.33752	−	3.08162i	0.209840	−	0.121151i	−0.391397	−	0.920222i	$-0.628008\pi$
$647$	5.33752	−	3.08162i	0.209840	−	0.121151i	0.601237	+	0.799071i	$0.294675\pi$
$648$	15.1803	−	5.54435i	0.596338	−	0.217803i
$649$	−2.78130	−	1.60578i	−0.109175	−	0.0630324i
$650$	62.2256	−	31.2798i	2.44069	−	1.22690i
$651$	4.88174	−	8.45543i	0.191331	−	0.331394i
$652$	10.4385	+	24.1497i	0.408802	+	0.945776i
$653$	7.79270	+	13.4973i	0.304952	+	0.528192i	0.977251	−	0.212088i	$-0.0680263\pi$
$653$	7.79270	+	13.4973i	0.304952	+	0.528192i	−0.672299	+	0.740280i	$0.734693\pi$
$654$	−19.3205	−	38.4346i	−0.755490	−	1.50291i
$655$	73.0974			2.85615
$656$	14.2577	−	15.1573i	0.556669	−	0.591794i
$657$	−5.97156	+	10.3430i	−0.232973	+	0.403520i
$658$	−11.1665	−	7.33836i	−0.435314	−	0.286079i
$659$	−8.51965	+	4.91882i	−0.331879	+	0.191610i	−0.656675	−	0.754174i	$-0.728038\pi$
$659$	−8.51965	+	4.91882i	−0.331879	+	0.191610i	0.324796	+	0.945784i	$0.394704\pi$
$660$	2.49653	+	5.77581i	0.0971775	+	0.224823i
$661$	5.76154	+	9.97928i	0.224098	+	0.388149i	0.956048	−	0.293209i	$-0.0947231\pi$
$661$	5.76154	+	9.97928i	0.224098	+	0.388149i	−0.731950	+	0.681358i	$0.761390\pi$
$662$	−0.308850	+	5.33691i	−0.0120038	+	0.207425i
$663$	31.6889	+	54.8868i	1.23069	+	2.13163i
$664$	26.7721	−	31.9781i	1.03896	−	1.24099i
$665$	4.13370			0.160298
$666$	−47.8946	−	6.50229i	−1.85588	−	0.251959i
$667$			39.7204i			1.53798i
$668$	−0.910323	+	7.83883i	−0.0352215	+	0.303294i
$669$	−19.6451	+	11.3421i	−0.759523	+	0.438511i
$670$	77.3409	+	4.47576i	2.98794	+	0.172914i
$671$	−1.37023	+	0.791102i	−0.0528971	+	0.0305402i
$672$	−3.68898	−	15.4372i	−0.142306	−	0.595502i
$673$	−11.6027	−	20.0965i	−0.447251	−	0.774661i	0.550955	−	0.834535i	$-0.314264\pi$
$673$	−11.6027	−	20.0965i	−0.447251	−	0.774661i	−0.998206	+	0.0598736i	$0.980930\pi$
$674$	−1.87509	−	1.23227i	−0.0722256	−	0.0474651i
$675$	−74.6576	−	43.1036i	−2.87357	−	1.65906i
$676$	4.98958	+	11.5435i	0.191907	+	0.443982i
$677$		−	48.7018i		−	1.87176i	−0.352316	−	0.935881i	$-0.614606\pi$
$677$		−	48.7018i		−	1.87176i	0.352316	−	0.935881i	$-0.385394\pi$
$678$	43.0826	−	21.6570i	1.65458	−	0.831731i
$679$	1.60316	−	0.925586i	0.0615237	−	0.0355207i
$680$	−55.1431	−	9.65984i	−2.11464	−	0.370438i
$681$	−7.32277	−	4.22780i	−0.280609	−	0.162010i
$682$	1.17022	−	0.588249i	0.0448099	−	0.0225252i
$683$	11.4575	−	19.8450i	0.438410	−	0.759348i	−0.559157	−	0.829062i	$-0.688875\pi$
$683$	11.4575	−	19.8450i	0.438410	−	0.759348i	0.997567	+	0.0697136i	$0.0222085\pi$
$684$	7.20103	−	9.68769i	0.275338	−	0.370418i
$685$	−12.0696	−	20.9052i	−0.461158	−	0.798748i
$686$	−15.8034	+	7.94412i	−0.603376	+	0.303308i
$687$	−12.4213	+	21.5143i	−0.473902	+	0.820823i
$688$	−3.06061	−	10.1681i	−0.116685	−	0.387655i
$689$		−	3.51774i		−	0.134015i
$690$	4.23337	−	73.1525i	0.161162	−	2.78487i
$691$	34.2701	+	19.7859i	1.30370	+	0.752690i	0.981036	−	0.193824i	$-0.0620892\pi$
$691$	34.2701	+	19.7859i	1.30370	+	0.752690i	0.322661	+	0.946514i	$0.395422\pi$
$692$	−34.9729	+	15.1167i	−1.32947	+	0.574650i
$693$			1.42918i			0.0542902i
$694$	27.0021	−	13.5736i	1.02499	−	0.515245i
$695$			27.7985i			1.05446i
$696$	−25.8153	−	70.6816i	−0.978525	−	2.67918i
$697$		−	25.5724i		−	0.968622i
$698$	−30.1900	−	1.74711i	−1.14271	−	0.0661292i
$699$	45.1167	−	26.0481i	1.70647	−	0.985230i
$700$	−12.7865	+	17.2019i	−0.483283	+	0.650170i
$701$	−1.68014	+	2.91009i	−0.0634580	+	0.109912i	−0.896009	−	0.444036i	$-0.853546\pi$
$701$	−1.68014	+	2.91009i	−0.0634580	+	0.109912i	0.832551	+	0.553948i	$0.186880\pi$
$702$	26.2238	−	39.9037i	0.989754	−	1.50607i
$703$	−5.89344	+	2.82122i	−0.222275	+	0.106404i
$704$	0.723756	−	2.00238i	0.0272776	−	0.0754677i
$705$	101.207	+	58.4321i	3.81169	+	2.20068i
$706$	−18.3338	−	1.06099i	−0.690003	−	0.0399308i
$707$	4.05629	−	2.34190i	0.152553	−	0.0880762i
$708$	−56.8629	−	42.2672i	−2.13704	−	1.58850i
$709$	−8.18869			−0.307533			−0.153766	−	0.988107i	$-0.549140\pi$
$709$	−8.18869			−0.307533			−0.153766	+	0.988107i	$0.549140\pi$
$710$	−1.10251	+	19.0513i	−0.0413765	+	0.714984i
$711$			30.6694i			1.15019i
$712$	10.6485	−	12.7191i	0.399068	−	0.476669i
$713$	−15.2523			−0.571204
$714$	−16.3000	−	10.7120i	−0.610011	−	0.400886i
$715$	4.07595	+	2.35325i	0.152432	+	0.0880066i
$716$	−12.2440	+	16.4721i	−0.457579	+	0.615590i
$717$	−24.0553			−0.898363
$718$	−1.78055	+	0.895054i	−0.0664495	+	0.0334031i
$719$	−19.3258	+	33.4733i	−0.720731	+	1.24834i	0.239976	+	0.970779i	$0.422861\pi$
$719$	−19.3258	+	33.4733i	−0.720731	+	1.24834i	−0.960707	+	0.277565i	$0.910473\pi$
$720$	26.0836	+	86.6562i	0.972078	+	3.22949i
$721$	−5.51761	+	3.18559i	−0.205486	+	0.118638i
$722$	−1.45811	+	25.1961i	−0.0542653	+	0.937703i
$723$	23.1224	−	40.0492i	0.859932	−	1.48945i
$724$	1.26928	−	10.9298i	0.0471725	−	0.406204i
$725$	−50.8083	+	88.0026i	−1.88697	+	3.26833i
$726$	24.9203	−	37.9201i	0.924878	−	1.40735i
$727$	19.0282	−	10.9859i	0.705716	−	0.407446i	−0.103757	−	0.994603i	$-0.533086\pi$
$727$	19.0282	−	10.9859i	0.705716	−	0.407446i	0.809473	+	0.587157i	$0.199753\pi$
$728$	−9.10285	−	7.62092i	−0.337374	−	0.282450i
$729$	35.6056			1.31873
$730$	−10.1153	−	6.64754i	−0.374383	−	0.246036i
$731$	−11.3010	−	6.52464i	−0.417983	−	0.241323i
$732$	−32.0405	+	13.8492i	−1.18425	+	0.511880i
$733$	23.0327	−	13.2980i	0.850734	−	0.491171i	−0.0101646	−	0.999948i	$-0.503236\pi$
$733$	23.0327	−	13.2980i	0.850734	−	0.491171i	0.860898	+	0.508777i	$0.169902\pi$
$734$	−1.23939	−	0.814500i	−0.0457467	−	0.0300638i
$735$	62.3107	−	35.9751i	2.29836	−	1.32696i
$736$	−18.0033	+	17.0486i	−0.663612	+	0.628420i
$737$	1.81040	+	3.13571i	0.0666870	+	0.115505i
$738$	−36.9341	+	18.5662i	−1.35956	+	0.683430i
$739$			9.69260i			0.356548i	0.983981	+	0.178274i	$0.0570514\pi$
$739$			9.69260i			0.356548i	−0.983981	+	0.178274i	$0.942949\pi$
$740$	9.38326	−	48.0783i	0.344936	−	1.76739i
$741$		−	13.8495i		−	0.508775i
$742$	0.486228	+	0.967263i	0.0178500	+	0.0355094i
$743$	−12.8024	−	22.1743i	−0.469673	−	0.813497i	0.529726	−	0.848169i	$-0.322295\pi$
$743$	−12.8024	−	22.1743i	−0.469673	−	0.813497i	−0.999399	+	0.0346715i	$0.988962\pi$
$744$	27.1412	−	9.91286i	0.995043	−	0.363423i
$745$	35.5644	−	20.5331i	1.30298	−	0.752275i
$746$	8.02545	−	12.2120i	0.293833	−	0.447113i
$747$	−71.7489	+	41.4243i	−2.62516	+	1.51563i
$748$	−1.03814	−	2.40176i	−0.0379580	−	0.0878170i
$749$	−1.09190	−	0.630410i	−0.0398972	−	0.0230347i
$750$	57.0460	−	86.8044i	2.08302	−	3.16965i
$751$	19.2104			0.700997			0.350499	−	0.936563i	$-0.386012\pi$
$751$	19.2104			0.700997			0.350499	+	0.936563i	$0.386012\pi$
$752$	−11.3977	−	37.8661i	−0.415633	−	1.38084i
$753$	−64.9015	+	37.4709i	−2.36514	+	1.36552i
$754$	−47.0364	−	30.9113i	−1.71297	−	1.12572i
$755$	−13.4927	+	23.3700i	−0.491049	+	0.850522i
$756$	−1.69514	+	14.5969i	−0.0616516	+	0.530885i
$757$	8.93509	−	15.4760i	0.324751	−	0.562486i	−0.656711	−	0.754143i	$-0.728053\pi$
$757$	8.93509	−	15.4760i	0.324751	−	0.562486i	0.981462	+	0.191657i	$0.0613860\pi$
$758$	−14.7376	−	0.852875i	−0.535295	−	0.0309778i
$759$	2.96589	−	1.71236i	0.107655	−	0.0621547i
$760$	9.38021	+	7.85313i	0.340256	+	0.284863i
$761$	19.3773	−	33.5625i	0.702426	−	1.21664i	−0.265186	−	0.964197i	$-0.585433\pi$
$761$	19.3773	−	33.5625i	0.702426	−	1.21664i	0.967612	−	0.252441i	$-0.0812333\pi$
$762$	15.3412	+	30.5186i	0.555753	+	1.10557i
$763$	9.90236			0.358490
$764$	23.1381	+	17.1990i	0.837108	+	0.622238i
$765$	96.3113	+	55.6053i	3.48214	+	2.01042i
$766$	1.46169	−	2.22419i	0.0528131	−	0.0803634i
$767$	−52.9954			−1.91355
$768$	20.9562	−	42.0384i	0.756192	−	1.51693i
$769$		−	29.7234i		−	1.07185i	−0.844264	−	0.535927i	$-0.819962\pi$
$769$		−	29.7234i		−	1.07185i	0.844264	−	0.535927i	$-0.180038\pi$
$770$	−1.44602	−	0.0836822i	−0.0521111	−	0.00301570i
$771$	0.542813			0.0195489
$772$	17.2502	+	12.8224i	0.620849	+	0.461489i
$773$	36.9331	−	21.3233i	1.32839	−	0.766947i	0.343340	−	0.939211i	$-0.388442\pi$
$773$	36.9331	−	21.3233i	1.32839	−	0.766947i	0.985051	+	0.172264i	$0.0551083\pi$
$774$	−1.21870	+	21.0591i	−0.0438052	+	0.756953i
$775$	−33.7923	−	19.5100i	−1.21386	−	0.700820i
$776$	5.39632	+	0.945315i	0.193717	+	0.0339348i
$777$	9.64694	−	14.0788i	0.346082	−	0.505075i
$778$	−15.8933	−	10.4447i	−0.569802	−	0.374461i
$779$	−2.79408	+	4.83949i	−0.100108	+	0.173393i
$780$	83.3317	+	61.9420i	2.98376	+	2.21788i
$781$	−0.772416	+	0.445955i	−0.0276392	+	0.0159575i
$782$	−1.76037	+	30.4190i	−0.0629505	+	1.08778i
$783$			69.6691i			2.48977i
$784$	−23.6985	−	5.57944i	−0.846373	−	0.199266i
$785$		−	21.3567i		−	0.762253i
$786$	33.8513	+	67.3411i	1.20744	+	2.40198i
$787$		−	31.9876i		−	1.14024i	−0.821563	−	0.570118i	$-0.806897\pi$
$787$		−	31.9876i		−	1.14024i	0.821563	−	0.570118i	$-0.193103\pi$
$788$	24.6520	−	10.6556i	0.878191	−	0.379589i
$789$	17.6890	+	10.2127i	0.629745	+	0.363584i
$790$	−31.0308	−	1.79577i	−1.10403	−	0.0638906i
$791$			11.0999i			0.394667i
$792$	−2.71514	+	3.24311i	−0.0964782	+	0.115239i
$793$	−13.0543	+	22.6108i	−0.463573	+	0.802932i
$794$	−14.8530	−	29.5474i	−0.527114	−	1.04860i
$795$	−4.73422	−	8.19991i	−0.167905	−	0.290821i
$796$	−11.9287	−	8.86682i	−0.422802	−	0.314276i
$797$	4.35130	−	7.53668i	0.154131	−	0.266963i	−0.778611	−	0.627507i	$-0.784076\pi$
$797$	4.35130	−	7.53668i	0.154131	−	0.266963i	0.932742	+	0.360544i	$0.117409\pi$
$798$	1.91431	+	3.80817i	0.0677658	+	0.134808i
$799$	−42.0851	−	24.2978i	−1.48886	−	0.859596i
$800$	−61.6950	+	14.7431i	−2.18125	+	0.521248i
$801$	−28.5378	+	16.4763i	−1.00833	+	0.582161i
$802$	0.406789	+	0.809234i	0.0143642	+	0.0285750i
$803$		−	0.565719i		−	0.0199638i
$804$	31.6932	+	73.3232i	1.11773	+	2.58591i
$805$	14.6076	+	8.43373i	0.514852	+	0.297250i
$806$	11.8697	−	18.0616i	0.418092	−	0.636193i
$807$	−40.7419	−	70.5671i	−1.43418	−	2.48408i
$808$	13.6537	+	2.39182i	0.480334	+	0.0841439i
$809$	−27.6931	+	15.9886i	−0.973639	+	0.562130i	−0.900344	−	0.435180i	$-0.856685\pi$
$809$	−27.6931	+	15.9886i	−0.973639	+	0.562130i	−0.0732950	+	0.997310i	$0.523351\pi$
$810$	1.87978	−	32.4826i	0.0660489	−	1.14132i
$811$	24.2042	−	13.9743i	0.849923	−	0.490703i	−0.0107017	−	0.999943i	$-0.503407\pi$
$811$	24.2042	−	13.9743i	0.849923	−	0.490703i	0.860625	+	0.509239i	$0.170073\pi$
$812$	17.2061	+	1.99814i	0.603816	+	0.0701211i
$813$			72.1647i			2.53093i
$814$	2.11872	−	0.867597i	0.0742611	−	0.0304093i
$815$	52.9679			1.85538
$816$	−16.6376	−	55.2741i	−0.582431	−	1.93498i
$817$	1.42579	+	2.46954i	0.0498820	+	0.0863982i
$818$	3.49299	+	0.202141i	0.122130	+	0.00706770i
$819$	11.7918	+	20.4240i	0.412038	+	0.713672i
$820$	−16.6224	−	38.4564i	−0.580479	−	1.34296i
$821$	−15.4923	+	8.94446i	−0.540683	+	0.312164i	−0.745356	−	0.666667i	$-0.767720\pi$
$821$	−15.4923	+	8.94446i	−0.540683	+	0.312164i	0.204672	+	0.978831i	$0.434387\pi$
$822$	13.6696	−	20.8004i	0.476780	−	0.725496i
$823$	14.5633	−	25.2243i	0.507644	−	0.879265i	−0.492317	−	0.870416i	$-0.663850\pi$
$823$	14.5633	−	25.2243i	0.507644	−	0.879265i	0.999961	−	0.00884926i	$-0.00281684\pi$
$824$	−18.5725	−	3.25349i	−0.647005	−	0.113341i
$825$	8.76144			0.305034
$826$	14.5720	−	7.32513i	0.507026	−	0.254874i
$827$	9.77716	+	16.9345i	0.339985	+	0.588872i	0.984430	−	0.175780i	$-0.0562446\pi$
$827$	9.77716	+	16.9345i	0.339985	+	0.588872i	−0.644444	+	0.764651i	$0.722911\pi$
$828$	45.2122	−	19.5425i	1.57123	−	0.679149i
$829$	−21.8107	+	37.7773i	−0.757518	+	1.31206i	0.186594	+	0.982437i	$0.440255\pi$
$829$	−21.8107	+	37.7773i	−0.757518	+	1.31206i	−0.944113	+	0.329623i	$0.893078\pi$
$830$	−37.7113	−	75.0199i	−1.30898	−	2.60398i
$831$	−8.75486	−	5.05462i	−0.303703	−	0.175343i
$832$	−6.17815	−	34.5869i	−0.214189	−	1.19909i
$833$	−25.9107	+	14.9595i	−0.897752	+	0.518317i
$834$	−25.6094	+	12.8734i	−0.886780	+	0.445771i
$835$	13.7593	+	7.94395i	0.476161	+	0.274912i
$836$	−0.0659565	+	0.567954i	−0.00228115	+	0.0196431i
$837$	−26.7524			−0.924698
$838$	−42.6448	−	2.46787i	−1.47314	−	0.0852513i
$839$	1.67977	−	2.90945i	0.0579922	−	0.100445i	−0.835572	−	0.549381i	$-0.814863\pi$
$839$	1.67977	−	2.90945i	0.0579922	−	0.100445i	0.893564	+	0.448936i	$0.148197\pi$
$840$	−31.4753	−	5.51376i	−1.08600	−	0.190243i
$841$	53.1224			1.83181
$842$	5.67202	−	2.85124i	0.195471	−	0.0982601i
$843$	−25.6996			−0.885142
$844$	20.6691	+	15.3637i	0.711460	+	0.528841i
$845$	25.3186			0.870986
$846$	−4.53845	+	78.4242i	−0.156035	+	2.69628i
$847$	5.22261	+	9.04583i	0.179451	+	0.310818i
$848$	−0.734239	+	3.11865i	−0.0252139	+	0.107095i
$849$	77.8471	+	44.9451i	2.67171	+	1.54251i
$850$	−42.8107	+	65.1432i	−1.46839	+	2.23439i
$851$	−26.5822	−	2.05439i	−0.911226	−	0.0704237i
$852$	−18.0616	+	7.80696i	−0.618782	+	0.267462i
$853$	−4.24321	+	7.34946i	−0.145285	+	0.251641i	−0.929479	−	0.368875i	$-0.879743\pi$
$853$	−4.24321	+	7.34946i	−0.145285	+	0.251641i	0.784194	+	0.620515i	$0.213077\pi$
$854$	0.464215	−	8.02162i	0.0158851	−	0.274494i
$855$	−12.1511	−	21.0463i	−0.415558	−	0.719768i
$856$	−1.28011	−	3.50491i	−0.0437532	−	0.119795i
$857$			22.3887i			0.764783i	0.924000	+	0.382392i	$0.124899\pi$
$857$			22.3887i			0.764783i	−0.924000	+	0.382392i	$0.875101\pi$
$858$	−0.280369	+	4.84476i	−0.00957163	+	0.165397i
$859$	−24.5544			−0.837784			−0.418892	−	0.908036i	$-0.637581\pi$
$859$	−24.5544			−0.837784			−0.418892	+	0.908036i	$0.637581\pi$
$860$	−21.2359	−	2.46612i	−0.724137	−	0.0840940i
$861$		−	14.5965i		−	0.497448i
$862$	−25.5905	+	38.9400i	−0.871616	+	1.32630i
$863$	−3.55404	+	6.15577i	−0.120981	+	0.209545i	−0.920155	−	0.391555i	$-0.871937\pi$
$863$	−3.55404	+	6.15577i	−0.120981	+	0.209545i	0.799174	+	0.601100i	$0.205271\pi$
$864$	−31.5776	+	29.9030i	−1.07429	+	1.01732i
$865$			76.7065i			2.60810i
$866$	47.3074	−	23.7807i	1.60757	−	0.808101i
$867$	−18.2110	−	10.5141i	−0.618479	−	0.357079i
$868$	−0.767271	+	6.60701i	−0.0260429	+	0.224256i
$869$	−0.726371	−	1.25811i	−0.0246404	−	0.0426785i
$870$	−151.244	−	8.75254i	−5.12764	−	0.296739i
$871$	51.7437	+	29.8742i	1.75327	+	1.01225i
$872$	22.4705	+	18.8123i	0.760947	+	0.637066i
$873$	−9.42505	−	5.44156i	−0.318990	−	0.184169i
$874$	3.65678	−	5.56437i	0.123693	−	0.188218i
$875$	11.9553	+	20.7072i	0.404163	+	0.700030i
$876$	1.43968	−	12.3972i	0.0486424	−	0.418862i
$877$			35.6827i			1.20492i	0.798150	+	0.602459i	$0.205812\pi$
$877$			35.6827i			1.20492i	−0.798150	+	0.602459i	$0.794188\pi$
$878$	5.44573	−	8.28654i	0.183785	−	0.279657i
$879$	2.75339	−	4.76902i	0.0928697	−	0.160855i
$880$	−3.12235	−	2.93703i	−0.105254	−	0.0990072i
$881$	24.7405	+	42.8519i	0.833530	+	1.44372i	0.895222	+	0.445621i	$0.147017\pi$
$881$	24.7405	+	42.8519i	0.833530	+	1.44372i	−0.0616913	+	0.998095i	$0.519649\pi$
$882$	40.4178	+	26.5617i	1.36094	+	0.894379i
$883$	−18.6923	−	32.3760i	−0.629046	−	1.08954i	−0.987743	−	0.156086i	$-0.950112\pi$
$883$	−18.6923	−	32.3760i	−0.629046	−	1.08954i	0.358697	−	0.933454i	$-0.383221\pi$
$884$	−34.6519	−	25.7574i	−1.16547	−	0.866314i
$885$	−123.533	+	71.3220i	−4.15253	+	2.39746i
$886$	17.7638	+	35.3379i	0.596787	+	1.18720i
$887$	−54.7136			−1.83710			−0.918551	−	0.395303i	$-0.870640\pi$
$887$	−54.7136			−1.83710			−0.918551	+	0.395303i	$0.870640\pi$
$888$	48.6376	−	13.6207i	1.63217	−	0.457080i
$889$	−7.86286			−0.263712
$890$	−14.9995	−	29.8388i	−0.502784	−	1.00020i
$891$	1.31697	−	0.760354i	0.0441202	−	0.0254728i
$892$	9.21908	−	12.4026i	0.308678	−	0.415270i
$893$	5.30965	+	9.19659i	0.177681	+	0.307752i
$894$	35.3860	+	23.2549i	1.18348	+	0.777760i
$895$	20.6606	+	35.7852i	0.690608	+	1.19617i
$896$	6.47946	+	8.65632i	0.216464	+	0.289187i
$897$	28.2564	−	48.9415i	0.943453	−	1.63411i
$898$	14.8414	−	22.5835i	0.495264	−	0.753622i
$899$			31.5343i			1.05173i
$900$	125.168	+	14.5357i	4.17226	+	0.484524i
$901$	1.96863	+	3.40977i	0.0655847	+	0.113596i
$902$	1.07538	−	1.63636i	0.0358062	−	0.0544848i
$903$	−6.45053	−	3.72422i	−0.214660	−	0.123934i
$904$	−21.0874	+	25.1879i	−0.701356	+	0.837739i
$905$	−19.1849	−	11.0764i	−0.637727	−	0.368192i
$906$	−27.7781	−	1.60753i	−0.922866	−	0.0534067i
$907$	−1.07902	−	1.86892i	−0.0358283	−	0.0620564i	0.847555	−	0.530707i	$-0.178074\pi$
$907$	−1.07902	−	1.86892i	−0.0358283	−	0.0620564i	−0.883384	+	0.468651i	$0.844740\pi$
$908$	5.72196	+	0.664491i	0.189890	+	0.0220519i
$909$	−23.8471	−	13.7681i	−0.790958	−	0.456660i
$910$	−21.3551	+	10.7349i	−0.707915	+	0.355858i
$911$		−	49.1255i		−	1.62760i	−0.581145	−	0.813800i	$-0.697395\pi$
$911$		−	49.1255i		−	1.62760i	0.581145	−	0.813800i	$-0.302605\pi$
$912$	−2.89074	+	12.2783i	−0.0957221	+	0.406575i
$913$	1.96218	−	3.39859i	0.0649386	−	0.112477i
$914$	8.67817	−	13.2052i	0.287048	−	0.436789i
$915$			70.2748i			2.32321i
$916$	1.95227	−	16.8111i	0.0645050	−	0.555455i
$917$	−17.3499			−0.572944
$918$	−3.08766	+	53.3546i	−0.101908	+	1.76096i
$919$			31.9847i			1.05508i	0.849531	+	0.527539i	$0.176885\pi$
$919$			31.9847i			1.05508i	−0.849531	+	0.527539i	$0.823115\pi$
$920$	17.1255	+	46.8892i	0.564612	+	1.54589i
$921$	18.7660	+	32.5038i	0.618362	+	1.07104i
$922$	−1.13228	+	19.5658i	−0.0372897	+	0.644365i
$923$	−7.35889	+	12.7460i	−0.242221	+	0.419539i
$924$	−0.592560	−	1.37091i	−0.0194938	−	0.0450995i
$925$	−56.2663	−	38.5542i	−1.85002	−	1.26765i
$926$	18.8778	−	28.7256i	0.620363	−	0.943981i
$927$	32.4382	+	18.7282i	1.06541	+	0.615116i
$928$	35.2482	+	37.2221i	1.15708	+	1.22187i
$929$	−11.5189	−	19.9513i	−0.377922	−	0.654580i	0.612838	−	0.790209i	$-0.290028\pi$
$929$	−11.5189	−	19.9513i	−0.377922	−	0.654580i	−0.990760	+	0.135629i	$0.956695\pi$
$930$	3.36091	−	58.0763i	0.110208	−	1.90440i
$931$	6.53803			0.214275
$932$	−21.1724	+	28.4837i	−0.693526	+	0.933014i
$933$	−18.5367			−0.606864
$934$	40.8000	−	20.5095i	1.33502	−	0.671092i
$935$	−5.26781			−0.172276
$936$	−12.0431	+	68.7481i	−0.393642	+	2.24710i
$937$	−15.7856	+	27.3414i	−0.515693	+	0.893206i	0.484141	+	0.874990i	$0.339132\pi$
$937$	−15.7856	+	27.3414i	−0.515693	+	0.893206i	−0.999834	+	0.0182163i	$0.994201\pi$
$938$	−18.3571	−	1.06233i	−0.599381	−	0.0346865i
$939$	49.8999			1.62842
$940$	−79.0826	−	9.18386i	−2.57939	−	0.299545i
$941$	−20.3486	−	11.7483i	−0.663346	−	0.382983i	0.130205	−	0.991487i	$-0.458436\pi$
$941$	−20.3486	−	11.7483i	−0.663346	−	0.382983i	−0.793551	+	0.608504i	$0.791770\pi$
$942$	19.6749	−	9.89025i	0.641042	−	0.322242i
$943$	−19.7474	+	11.4012i	−0.643065	+	0.371274i
$944$	46.9831	+	11.0615i	1.52917	+	0.360020i
$945$	25.6216	+	14.7927i	0.833471	+	0.481205i
$946$	−0.448768	−	0.892743i	−0.0145907	−	0.0290256i
$947$	24.9549	−	43.2231i	0.810925	−	1.40456i	−0.101293	−	0.994857i	$-0.532298\pi$
$947$	24.9549	−	43.2231i	0.810925	−	1.40456i	0.912218	−	0.409706i	$-0.134369\pi$
$948$	−12.7160	−	29.4188i	−0.412996	−	0.955478i
$949$	−4.66759	−	8.08450i	−0.151516	−	0.262434i
$950$	15.2194	−	7.65058i	0.493784	−	0.248218i
$951$	−90.7571			−2.94300
$952$	13.0884	+	2.29279i	0.424197	+	0.0743098i
$953$	−3.86548	+	6.69521i	−0.125215	+	0.216879i	−0.921817	−	0.387625i	$-0.873295\pi$
$953$	−3.86548	+	6.69521i	−0.125215	+	0.216879i	0.796602	+	0.604504i	$0.206629\pi$
$954$	3.49544	−	5.31887i	0.113169	−	0.172205i
$955$	50.2671	−	29.0217i	1.62660	−	0.939121i
$956$	15.0427	−	6.50205i	0.486516	−	0.210291i
$957$	−3.54032	−	6.13201i	−0.114442	−	0.198220i
$958$	−53.6933	−	3.10726i	−1.73475	−	0.100391i
$959$	2.86477	+	4.96192i	0.0925082	+	0.160229i
$960$	−60.9489	−	72.3081i	−1.96712	−	2.33373i
$961$	18.8911			0.609389
$962$	23.1196	−	29.8795i	0.745407	−	0.963354i
$963$			7.41241i			0.238862i
$964$	−3.63419	+	31.2942i	−0.117049	+	1.00792i
$965$	37.4757	−	21.6366i	1.20639	−	0.696508i
$966$	−1.00480	+	17.3630i	−0.0323290	+	0.558644i
$967$	41.0682	−	23.7107i	1.32066	−	0.762486i	0.336830	−	0.941565i	$-0.390645\pi$
$967$	41.0682	−	23.7107i	1.32066	−	0.762486i	0.983835	+	0.179079i	$0.0573118\pi$
$968$	−5.33393	+	30.4487i	−0.171439	+	0.978658i
$969$	7.75063	+	13.4245i	0.248986	+	0.431256i
$970$	6.05754	−	9.21750i	0.194496	−	0.295956i
$971$	0.993477	+	0.573584i	0.0318822	+	0.0184072i	0.515856	−	0.856675i	$-0.327474\pi$
$971$	0.993477	+	0.573584i	0.0318822	+	0.0184072i	−0.483974	+	0.875082i	$0.660807\pi$
$972$	−11.5463	+	4.99078i	−0.370349	+	0.160079i
$973$		−	6.59805i		−	0.211524i
$974$	6.43432	+	12.7999i	0.206169	+	0.410136i
$975$	125.207	−	72.2882i	4.00983	−	2.31508i
$976$	16.2927	−	17.3208i	0.521518	−	0.554426i
$977$	−7.69453	−	4.44244i	−0.246170	−	0.142126i	0.371839	−	0.928297i	$-0.378727\pi$
$977$	−7.69453	−	4.44244i	−0.246170	−	0.142126i	−0.618009	+	0.786171i	$0.712061\pi$
$978$	24.5293	+	48.7967i	0.784362	+	1.56035i
$979$	0.780446	−	1.35177i	0.0249432	−	0.0432028i
$980$	−29.2413	+	39.3389i	−0.934079	+	1.25663i
$981$	−29.1082	−	50.4169i	−0.929353	−	1.60969i
$982$	9.66183	+	19.2205i	0.308322	+	0.613350i
$983$	−19.2704	+	33.3773i	−0.614630	+	1.06457i	0.375819	+	0.926693i	$0.377361\pi$
$983$	−19.2704	+	33.3773i	−0.614630	+	1.06457i	−0.990449	+	0.137878i	$0.955972\pi$
$984$	27.7302	−	33.1225i	0.884007	−	1.05591i
$985$		−	54.0695i		−	1.72280i
$986$	62.8917	+	3.63957i	2.00288	+	0.115908i
$987$	−24.0219	−	13.8690i	−0.764624	−	0.441456i
$988$	3.74347	+	8.66063i	0.119096	+	0.275531i
$989$			11.6358i			0.369997i
$990$	3.82456	+	7.60827i	0.121552	+	0.241807i
$991$			34.5702i			1.09816i	0.835770	+	0.549080i	$0.185022\pi$
$991$			34.5702i			1.09816i	−0.835770	+	0.549080i	$0.814978\pi$
$992$	−14.2930	+	13.5350i	−0.453803	+	0.429737i
$993$			11.0974i			0.352166i
$994$	0.261684	−	4.52189i	0.00830011	−	0.143426i
$995$	−25.9148	+	14.9619i	−0.821556	+	0.474325i
$996$	51.6482	−	69.4833i	1.63653	−	2.20166i
$997$	16.6516	−	28.8414i	0.527360	−	0.913415i	−0.472131	−	0.881528i	$-0.656515\pi$
$997$	16.6516	−	28.8414i	0.527360	−	0.913415i	0.999491	−	0.0318865i	$-0.0101515\pi$
$998$	37.1425	+	24.4092i	1.17573	+	0.772661i
$999$	−46.6248	−	3.60338i	−1.47514	−	0.114006i

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	296.2.q.a.101.7	yes	72
4.3	odd	2		1184.2.y.a.1137.34		72
8.3	odd	2		1184.2.y.a.1137.3		72
8.5	even	2	inner	296.2.q.a.101.20	yes	72
37.11	even	6	inner	296.2.q.a.85.20	yes	72
148.11	odd	6		1184.2.y.a.529.3		72
296.11	odd	6		1184.2.y.a.529.34		72
296.85	even	6	inner	296.2.q.a.85.7	✓	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
296.2.q.a.85.7	✓	72	296.85	even	6	inner
296.2.q.a.85.20	yes	72	37.11	even	6	inner
296.2.q.a.101.7	yes	72	1.1	even	1	trivial
296.2.q.a.101.20	yes	72	8.5	even	2	inner
1184.2.y.a.529.3		72	148.11	odd	6
1184.2.y.a.529.34		72	296.11	odd	6
1184.2.y.a.1137.3		72	8.3	odd	2
1184.2.y.a.1137.34		72	4.3	odd	2

Overview	Random
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Classical	Maass
Hilbert	Bianchi

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

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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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	296.2.q.a.101.7

Level	$296$
Weight	$2$
Character	296.101
Analytic conductor	$2.364$
Analytic rank	$0$
Dimension	$72$
Inner twists	$4$