LMFDB - Embedded newform 483.2.bb.a.26.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(26,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([33, 55, 48]))

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

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

chi := DirichletCharacter("483.26");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$1200$
Relative dimension:	$60$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			26.16
Character	$\chi$	$=$	483.26
Dual form			483.2.bb.a.353.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.620544 + 1.55004i) q^{2} +(0.712920 + 1.57853i) q^{3} +(-0.570095 - 0.543585i) q^{4} +(-1.09580 - 3.16611i) q^{5} +(-2.88918 + 0.125512i) q^{6} +(-2.61610 - 0.394990i) q^{7} +(-1.84117 + 0.840836i) q^{8} +(-1.98349 + 2.25072i) q^{9} +O(q^{10})$	\(q+(-0.620544 + 1.55004i) q^{2} +(0.712920 + 1.57853i) q^{3} +(-0.570095 - 0.543585i) q^{4} +(-1.09580 - 3.16611i) q^{5} +(-2.88918 + 0.125512i) q^{6} +(-2.61610 - 0.394990i) q^{7} +(-1.84117 + 0.840836i) q^{8} +(-1.98349 + 2.25072i) q^{9} +(5.58761 + 0.266171i) q^{10} +(-0.513953 - 1.28379i) q^{11} +(0.451631 - 1.28744i) q^{12} +(-1.97496 + 3.07309i) q^{13} +(2.23566 - 3.80996i) q^{14} +(4.21657 - 3.98694i) q^{15} +(-0.235765 - 4.94932i) q^{16} +(-0.700807 - 2.88876i) q^{17} +(-2.25788 - 4.47117i) q^{18} +(-1.96771 - 0.477362i) q^{19} +(-1.09634 + 2.40065i) q^{20} +(-1.24157 - 4.41118i) q^{21} +2.30886 q^{22} +(-3.60029 - 3.16826i) q^{23} +(-2.63989 - 2.30689i) q^{24} +(-4.89323 + 3.84808i) q^{25} +(-3.53788 - 4.96826i) q^{26} +(-4.96690 - 1.52641i) q^{27} +(1.27672 + 1.64725i) q^{28} +(0.618092 - 2.10503i) q^{29} +(3.56336 + 9.00995i) q^{30} +(7.93568 + 5.65097i) q^{31} +(3.99245 + 1.38180i) q^{32} +(1.66009 - 1.72653i) q^{33} +(4.91260 + 0.706325i) q^{34} +(1.61615 + 8.71570i) q^{35} +(2.35424 - 0.204932i) q^{36} +(-9.95516 + 1.91870i) q^{37} +(1.96099 - 2.75382i) q^{38} +(-6.25895 - 0.926653i) q^{39} +(4.67975 + 4.90798i) q^{40} +(-1.03579 + 1.19536i) q^{41} +(7.60797 + 0.812849i) q^{42} +(3.79766 - 8.31572i) q^{43} +(-0.404848 + 1.01126i) q^{44} +(9.29957 + 3.81361i) q^{45} +(7.14509 - 3.61457i) q^{46} +(-3.57297 + 6.18857i) q^{47} +(7.64455 - 3.90063i) q^{48} +(6.68797 + 2.06667i) q^{49} +(-2.92823 - 9.97262i) q^{50} +(4.06037 - 3.16570i) q^{51} +(2.79640 - 0.678399i) q^{52} +(-4.52371 + 8.77478i) q^{53} +(5.44818 - 6.75171i) q^{54} +(-3.50144 + 3.03401i) q^{55} +(5.14882 - 1.47247i) q^{56} +(-0.649293 - 3.44641i) q^{57} +(2.87934 + 2.26433i) q^{58} +(-0.203475 + 4.27146i) q^{59} +(-4.57109 - 0.0191312i) q^{60} +(-0.223595 + 2.34159i) q^{61} +(-13.6837 + 8.79398i) q^{62} +(6.07803 - 5.10466i) q^{63} +(1.87025 - 2.15838i) q^{64} +(11.8939 + 2.88544i) q^{65} +(1.64603 + 3.64460i) q^{66} +(1.53432 - 1.20661i) q^{67} +(-1.17076 + 2.02782i) q^{68} +(2.43447 - 7.94187i) q^{69} +(-14.5126 - 2.90338i) q^{70} +(-14.0171 + 2.01535i) q^{71} +(1.75946 - 5.81177i) q^{72} +(-0.769564 + 0.807095i) q^{73} +(3.20355 - 16.6216i) q^{74} +(-9.56277 - 4.98072i) q^{75} +(0.862298 + 1.34176i) q^{76} +(0.837466 + 3.56153i) q^{77} +(5.32031 - 9.12662i) q^{78} +(-1.89258 + 0.975695i) q^{79} +(-15.4118 + 6.16994i) q^{80} +(-1.13153 - 8.92859i) q^{81} +(-1.21011 - 2.34729i) q^{82} +(-3.75827 - 4.33728i) q^{83} +(-1.69004 + 3.18969i) q^{84} +(-8.37821 + 5.38435i) q^{85} +(10.5331 + 11.0468i) q^{86} +(3.76349 - 0.525042i) q^{87} +(2.02573 + 1.93153i) q^{88} +(8.68040 + 12.1899i) q^{89} +(-11.6821 + 12.0482i) q^{90} +(6.38053 - 7.25943i) q^{91} +(0.330290 + 3.76328i) q^{92} +(-3.26271 + 16.5554i) q^{93} +(-7.37537 - 9.37854i) q^{94} +(0.644843 + 6.75310i) q^{95} +(0.665087 + 7.28729i) q^{96} +(-5.76702 - 4.99716i) q^{97} +(-7.35361 + 9.08419i) q^{98} +(3.90888 + 1.38962i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	$ 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) $ 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$346$	$442$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{8}{11}\right)$

Coefficient data

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

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

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

$2$	−0.620544	+	1.55004i	−0.438791	+	1.09605i	0.529962	+	0.848021i	$0.322206\pi$
$2$	−0.620544	+	1.55004i	−0.438791	+	1.09605i	−0.968753	+	0.248026i	$0.920218\pi$
$3$	0.712920	+	1.57853i	0.411604	+	0.911363i
$3$	0.712920	+	1.57853i	0.411604	+	0.911363i
$4$	−0.570095	−	0.543585i	−0.285048	−	0.271792i
$5$	−1.09580	−	3.16611i	−0.490058	−	1.41593i	−0.870978	−	0.491321i	$-0.836514\pi$
$5$	−1.09580	−	3.16611i	−0.490058	−	1.41593i	0.380921	−	0.924608i	$-0.375607\pi$
$6$	−2.88918	+	0.125512i	−1.17950	+	0.0512400i
$7$	−2.61610	−	0.394990i	−0.988793	−	0.149292i
$7$	−2.61610	−	0.394990i	−0.988793	−	0.149292i
$8$	−1.84117	+	0.840836i	−0.650954	+	0.297281i
$9$	−1.98349	+	2.25072i	−0.661164	+	0.750242i
$10$	5.58761	+	0.266171i	1.76696	+	0.0841706i
$11$	−0.513953	−	1.28379i	−0.154963	−	0.387078i	0.830489	−	0.557035i	$-0.188061\pi$
$11$	−0.513953	−	1.28379i	−0.154963	−	0.387078i	−0.985451	+	0.169958i	$0.945637\pi$
$12$	0.451631	−	1.28744i	0.130375	−	0.371653i
$13$	−1.97496	+	3.07309i	−0.547755	+	0.852323i	−0.999201	−	0.0399756i	$-0.987272\pi$
$13$	−1.97496	+	3.07309i	−0.547755	+	0.852323i	0.451446	+	0.892298i	$0.350908\pi$
$14$	2.23566	−	3.80996i	0.597505	−	1.01826i
$15$	4.21657	−	3.98694i	1.08871	−	1.02942i
$16$	−0.235765	−	4.94932i	−0.0589413	−	1.23733i
$17$	−0.700807	−	2.88876i	−0.169971	−	0.700628i	−0.991461	−	0.130406i	$-0.958372\pi$
$17$	−0.700807	−	2.88876i	−0.169971	−	0.700628i	0.821490	−	0.570223i	$-0.193143\pi$
$18$	−2.25788	−	4.47117i	−0.532187	−	1.05387i
$19$	−1.96771	−	0.477362i	−0.451425	−	0.109514i	0.00359956	−	0.999994i	$-0.498854\pi$
$19$	−1.96771	−	0.477362i	−0.451425	−	0.109514i	−0.455024	+	0.890479i	$0.650369\pi$
$20$	−1.09634	+	2.40065i	−0.245149	+	0.536801i
$21$	−1.24157	−	4.41118i	−0.270932	−	0.962598i
$22$	2.30886			0.492252
$23$	−3.60029	−	3.16826i	−0.750713	−	0.660629i
$23$	−3.60029	−	3.16826i	−0.750713	−	0.660629i
$24$	−2.63989	−	2.30689i	−0.538866	−	0.470893i
$25$	−4.89323	+	3.84808i	−0.978645	+	0.769615i
$26$	−3.53788	−	4.96826i	−0.693836	−	0.974356i
$27$	−4.96690	−	1.52641i	−0.955880	−	0.293757i
$28$	1.27672	+	1.64725i	0.241277	+	0.311302i
$29$	0.618092	−	2.10503i	0.114777	−	0.390894i	−0.881988	−	0.471273i	$-0.843795\pi$
$29$	0.618092	−	2.10503i	0.114777	−	0.390894i	0.996764	+	0.0803786i	$0.0256129\pi$
$30$	3.56336	+	9.00995i	0.650578	+	1.64498i
$31$	7.93568	+	5.65097i	1.42529	+	1.01494i	0.993604	+	0.112921i	$0.0360206\pi$
$31$	7.93568	+	5.65097i	1.42529	+	1.01494i	0.431686	+	0.902024i	$0.357919\pi$
$32$	3.99245	+	1.38180i	0.705771	+	0.244270i
$33$	1.66009	−	1.72653i	0.288985	−	0.300550i
$34$	4.91260	+	0.706325i	0.842503	+	0.121134i
$35$	1.61615	+	8.71570i	0.273178	+	1.47322i
$36$	2.35424	−	0.204932i	0.392373	−	0.0341554i
$37$	−9.95516	+	1.91870i	−1.63662	+	0.315432i	−0.922911	−	0.385013i	$-0.874197\pi$
$37$	−9.95516	+	1.91870i	−1.63662	+	0.315432i	−0.713706	+	0.700445i	$0.752985\pi$
$38$	1.96099	−	2.75382i	0.318114	−	0.446729i
$39$	−6.25895	−	0.926653i	−1.00223	−	0.148383i
$40$	4.67975	+	4.90798i	0.739933	+	0.776019i
$41$	−1.03579	+	1.19536i	−0.161763	+	0.186684i	−0.830845	−	0.556505i	$-0.812142\pi$
$41$	−1.03579	+	1.19536i	−0.161763	+	0.186684i	0.669082	+	0.743189i	$0.266688\pi$
$42$	7.60797	+	0.812849i	1.17394	+	0.125425i
$43$	3.79766	−	8.31572i	0.579138	−	1.26814i	−0.362649	−	0.931926i	$-0.618128\pi$
$43$	3.79766	−	8.31572i	0.579138	−	1.26814i	0.941787	−	0.336209i	$-0.109145\pi$
$44$	−0.404848	+	1.01126i	−0.0610331	+	0.152453i
$45$	9.29957	+	3.81361i	1.38630	+	0.568499i
$46$	7.14509	−	3.61457i	1.05349	−	0.532939i
$47$	−3.57297	+	6.18857i	−0.521171	+	0.902695i	0.478526	+	0.878074i	$0.341171\pi$
$47$	−3.57297	+	6.18857i	−0.521171	+	0.902695i	−0.999697	+	0.0246216i	$0.992162\pi$
$48$	7.64455	−	3.90063i	1.10340	−	0.563008i
$49$	6.68797	+	2.06667i	0.955424	+	0.295238i
$50$	−2.92823	−	9.97262i	−0.414114	−	1.41034i
$51$	4.06037	−	3.16570i	0.568566	−	0.443286i
$52$	2.79640	−	0.678399i	0.387791	−	0.0940771i
$53$	−4.52371	+	8.77478i	−0.621380	+	1.20531i	0.342637	+	0.939468i	$0.388680\pi$
$53$	−4.52371	+	8.77478i	−0.621380	+	1.20531i	−0.964017	+	0.265841i	$0.914350\pi$
$54$	5.44818	−	6.75171i	0.741403	−	0.918792i
$55$	−3.50144	+	3.03401i	−0.472134	+	0.409106i
$56$	5.14882	−	1.47247i	0.688040	−	0.196767i
$57$	−0.649293	−	3.44641i	−0.0860010	−	0.456488i
$58$	2.87934	+	2.26433i	0.378075	+	0.297322i
$59$	−0.203475	+	4.27146i	−0.0264901	+	0.556097i	0.946143	+	0.323750i	$0.104944\pi$
$59$	−0.203475	+	4.27146i	−0.0264901	+	0.556097i	−0.972633	+	0.232347i	$0.925360\pi$
$60$	−4.57109	−	0.0191312i	−0.590125	−	0.00246983i
$61$	−0.223595	+	2.34159i	−0.0286284	+	0.299811i	0.969806	+	0.243877i	$0.0784194\pi$
$61$	−0.223595	+	2.34159i	−0.0286284	+	0.299811i	−0.998435	+	0.0559332i	$0.982187\pi$
$62$	−13.6837	+	8.79398i	−1.73783	+	1.11684i
$63$	6.07803	−	5.10466i	0.765759	−	0.643127i
$64$	1.87025	−	2.15838i	0.233781	−	0.269797i
$65$	11.8939	+	2.88544i	1.47526	+	0.357894i
$66$	1.64603	+	3.64460i	0.202613	+	0.448620i
$67$	1.53432	−	1.20661i	0.187447	−	0.147410i	−0.520025	−	0.854151i	$-0.674078\pi$
$67$	1.53432	−	1.20661i	0.187447	−	0.147410i	0.707473	+	0.706740i	$0.249835\pi$
$68$	−1.17076	+	2.02782i	−0.141976	+	0.245909i
$69$	2.43447	−	7.94187i	0.293076	−	0.956089i
$70$	−14.5126	−	2.90338i	−1.73459	−	0.347021i
$71$	−14.0171	+	2.01535i	−1.66352	+	0.239179i	−0.908910	−	0.416992i	$-0.863084\pi$
$71$	−14.0171	+	2.01535i	−1.66352	+	0.239179i	−0.754613	+	0.656170i	$0.772175\pi$
$72$	1.75946	−	5.81177i	0.207355	−	0.684924i
$73$	−0.769564	+	0.807095i	−0.0900706	+	0.0944634i	−0.767227	−	0.641376i	$-0.778364\pi$
$73$	−0.769564	+	0.807095i	−0.0900706	+	0.0944634i	0.677156	+	0.735840i	$0.263212\pi$
$74$	3.20355	−	16.6216i	0.372405	−	1.93222i
$75$	−9.56277	−	4.98072i	−1.10421	−	0.575124i
$76$	0.862298	+	1.34176i	0.0989123	+	0.153911i
$77$	0.837466	+	3.56153i	0.0954381	+	0.405874i
$78$	5.32031	−	9.12662i	0.602406	−	1.03339i
$79$	−1.89258	+	0.975695i	−0.212932	+	0.109774i	−0.561394	−	0.827549i	$-0.689735\pi$
$79$	−1.89258	+	0.975695i	−0.212932	+	0.109774i	0.348461	+	0.937323i	$0.386704\pi$
$80$	−15.4118	+	6.16994i	−1.72309	+	0.689820i
$81$	−1.13153	−	8.92859i	−0.125725	−	0.992065i
$82$	−1.21011	−	2.34729i	−0.133635	−	0.259215i
$83$	−3.75827	−	4.33728i	−0.412524	−	0.476078i	0.511021	−	0.859568i	$-0.329268\pi$
$83$	−3.75827	−	4.33728i	−0.412524	−	0.476078i	−0.923545	+	0.383490i	$0.874722\pi$
$84$	−1.69004	+	3.18969i	−0.184398	+	0.348024i
$85$	−8.37821	+	5.38435i	−0.908745	+	0.584015i
$86$	10.5331	+	11.0468i	1.13582	+	1.19121i
$87$	3.76349	−	0.525042i	0.403489	−	0.0562904i
$88$	2.02573	+	1.93153i	0.215944	+	0.205902i
$89$	8.68040	+	12.1899i	0.920121	+	1.29213i	0.956180	+	0.292779i	$0.0945801\pi$
$89$	8.68040	+	12.1899i	0.920121	+	1.29213i	−0.0360593	+	0.999350i	$0.511481\pi$
$90$	−11.6821	+	12.0482i	−1.23140	+	1.26999i
$91$	6.38053	−	7.25943i	0.668861	−	0.760995i
$92$	0.330290	+	3.76328i	0.0344351	+	0.392349i
$93$	−3.26271	+	16.5554i	−0.338327	+	1.71671i
$94$	−7.37537	−	9.37854i	−0.760711	−	0.967323i
$95$	0.644843	+	6.75310i	0.0661595	+	0.692854i
$96$	0.665087	+	7.28729i	0.0678802	+	0.743756i
$97$	−5.76702	−	4.99716i	−0.585553	−	0.507384i	0.310948	−	0.950427i	$-0.399354\pi$
$97$	−5.76702	−	4.99716i	−0.585553	−	0.507384i	−0.896501	+	0.443043i	$0.853899\pi$
$98$	−7.35361	+	9.08419i	−0.742827	+	0.917641i
$99$	3.90888	+	1.38962i	0.392857	+	0.139662i
$100$	4.88136	+	0.466114i	0.488136	+	0.0466114i
$101$	−1.25419	+	3.62376i	−0.124797	+	0.360577i	−0.990042	−	0.140772i	$-0.955042\pi$
$101$	−1.25419	+	3.62376i	−0.124797	+	0.360577i	0.865245	+	0.501349i	$0.167163\pi$
$102$	2.38733	+	8.25821i	0.236381	+	0.817685i
$103$	−0.481370	+	0.612111i	−0.0474308	+	0.0603131i	−0.809190	−	0.587547i	$-0.800094\pi$
$103$	−0.481370	+	0.612111i	−0.0474308	+	0.0603131i	0.761759	+	0.647860i	$0.224336\pi$
$104$	1.05227	−	7.31872i	0.103184	−	0.717659i
$105$	−12.6058	+	8.76472i	−1.23020	+	0.855350i
$106$	−10.7941	−	12.4571i	−1.04842	−	1.20994i
$107$	1.78927	−	18.7381i	0.172976	−	1.81148i	−0.326547	−	0.945181i	$-0.605885\pi$
$107$	1.78927	−	18.7381i	0.172976	−	1.81148i	0.499522	−	0.866301i	$-0.333509\pi$
$108$	2.00187	+	3.57013i	0.192630	+	0.343536i
$109$	4.51512	+	18.6116i	0.432470	+	1.78267i	0.603459	+	0.797394i	$0.293789\pi$
$109$	4.51512	+	18.6116i	0.432470	+	1.78267i	−0.170989	+	0.985273i	$0.554696\pi$
$110$	−2.53006	−	7.31013i	−0.241232	−	0.696993i
$111$	−10.1259	−	14.3466i	−0.961112	−	1.36172i
$112$	−1.33815	+	13.0411i	−0.126443	+	1.23226i
$113$	−2.07583	+	0.298459i	−0.195277	+	0.0280766i	−0.239259	−	0.970956i	$-0.576905\pi$
$113$	−2.07583	+	0.298459i	−0.195277	+	0.0280766i	0.0439822	+	0.999032i	$0.485996\pi$
$114$	5.74500	+	1.13222i	0.538069	+	0.106042i
$115$	−6.08587	+	14.8707i	−0.567511	+	1.38670i
$116$	−1.49663	+	0.864082i	−0.138959	+	0.0802280i
$117$	−2.99938	−	10.5405i	−0.277293	−	0.974473i
$118$	−6.49469	−	2.96602i	−0.597884	−	0.273045i
$119$	0.692346	+	7.83411i	0.0634673	+	0.718152i
$120$	−4.41109	+	10.8861i	−0.402675	+	0.993760i
$121$	6.57710	−	6.27125i	0.597918	−	0.570114i
$122$	−3.49083	−	1.79965i	−0.316045	−	0.162932i
$123$	−2.62535	−	0.782821i	−0.236720	−	0.0705846i
$124$	−1.45231	−	7.53531i	−0.130421	−	0.676691i
$125$	3.45285	+	2.21902i	0.308833	+	0.198475i
$126$	4.14077	+	12.5889i	0.368889	+	1.12151i
$127$	0.328226	−	2.28286i	0.0291254	−	0.202571i	−0.970063	−	0.242853i	$-0.921917\pi$
$127$	0.328226	−	2.28286i	0.0291254	−	0.202571i	0.999188	+	0.0402822i	$0.0128257\pi$
$128$	6.05685	+	11.7486i	0.535355	+	1.03844i
$129$	15.8340	+	0.0662696i	1.39411	+	0.00583471i
$130$	−11.8533	+	16.6456i	−1.03960	+	1.45991i
$131$	−0.357446	−	7.50371i	−0.0312302	−	0.655602i	−0.959163	−	0.282854i	$-0.908719\pi$
$131$	−0.357446	−	7.50371i	−0.0312302	−	0.655602i	0.927933	−	0.372748i	$-0.121584\pi$
$132$	−1.88492	+	0.0818848i	−0.164062	+	0.00712716i
$133$	4.95918	+	2.02606i	0.430016	+	0.175681i
$134$	0.918177	+	3.12702i	0.0793184	+	0.270134i
$135$	0.609962	+	17.3984i	0.0524972	+	1.49742i
$136$	3.71929	+	4.72946i	0.318926	+	0.405548i
$137$	−1.19383	+	0.689258i	−0.101996	+	0.0588873i	−0.550130	−	0.835079i	$-0.685422\pi$
$137$	−1.19383	+	0.689258i	−0.101996	+	0.0588873i	0.448134	+	0.893966i	$0.352089\pi$
$138$	10.7996	+	8.70182i	0.919320	+	0.740748i
$139$		−	1.98857i		−	0.168668i	−0.996438	−	0.0843341i	$-0.973124\pi$
$139$		−	1.98857i		−	0.168668i	0.996438	−	0.0843341i	$-0.0268763\pi$
$140$	3.81637	−	5.84729i	0.322542	−	0.494187i
$141$	−12.3161	−	1.22808i	−1.03720	−	0.103423i
$142$	5.57434	−	22.9777i	0.467788	−	1.92825i
$143$	4.96025	+	0.956009i	0.414797	+	0.0799455i
$144$	11.6072	+	9.28629i	0.967267	+	0.773858i
$145$	−7.34207	+	0.349746i	−0.609726	+	0.0290448i
$146$	−0.773486	−	1.69370i	−0.0640141	−	0.140171i
$147$	1.50569	+	12.0305i	0.124187	+	0.992259i
$148$	6.71836	+	4.31763i	0.552246	+	0.354907i
$149$	−2.40506	+	3.05828i	−0.197030	+	0.250544i	−0.874522	−	0.484986i	$-0.838825\pi$
$149$	−2.40506	+	3.05828i	−0.197030	+	0.250544i	0.677492	+	0.735530i	$0.263067\pi$
$150$	13.6545	−	11.7320i	1.11488	−	0.957911i
$151$	1.02937	−	21.6090i	0.0837685	−	1.75852i	−0.432077	−	0.901837i	$-0.642219\pi$
$151$	1.02937	−	21.6090i	0.0837685	−	1.75852i	0.515846	−	0.856681i	$-0.327478\pi$
$152$	4.02429	−	0.775618i	0.326413	−	0.0629109i
$153$	7.89186	+	4.15252i	0.638019	+	0.335711i
$154$	−6.04022	−	0.911979i	−0.486735	−	0.0734894i
$155$	9.19568	−	31.3176i	0.738615	−	2.51549i
$156$	3.06448	+	3.93055i	0.245355	+	0.314696i
$157$	−6.16988	+	6.47078i	−0.492410	+	0.516424i	−0.922309	−	0.386452i	$-0.873700\pi$
$157$	−6.16988	+	6.47078i	−0.492410	+	0.516424i	0.429900	+	0.902877i	$0.358549\pi$
$158$	−0.337938	−	3.53905i	−0.0268849	−	0.281552i
$159$	−17.0763	−	0.885088i	−1.35424	−	0.0701920i
$160$		−	14.1547i		−	1.11903i
$161$	8.16729	+	9.71058i	0.643673	+	0.765301i
$162$	14.5419	+	3.78667i	1.14252	+	0.297509i
$163$	−21.4625	−	8.59231i	−1.68108	−	0.673002i	−0.682740	−	0.730661i	$-0.739212\pi$
$163$	−21.4625	−	8.59231i	−1.68108	−	0.673002i	−0.998336	+	0.0576595i	$0.981636\pi$
$164$	1.24028	−	0.118432i	0.0968496	−	0.00924801i
$165$	−7.28552	−	3.36411i	−0.567177	−	0.261895i
$166$	9.05515	−	3.13402i	0.702816	−	0.243247i
$167$	−2.17453	−	0.638500i	−0.168270	−	0.0494086i	0.196512	−	0.980501i	$-0.437038\pi$
$167$	−2.17453	−	0.638500i	−0.168270	−	0.0494086i	−0.364782	+	0.931093i	$0.618857\pi$
$168$	5.99502	+	7.07780i	0.462526	+	0.546064i
$169$	−0.143052	−	0.313241i	−0.0110040	−	0.0240954i
$170$	−3.14693	−	16.3278i	−0.241359	−	1.25229i
$171$	4.97735	−	3.48194i	0.380628	−	0.266271i
$172$	−6.68533	+	2.67640i	−0.509751	+	0.204074i
$173$	7.29947	+	5.74037i	0.554968	+	0.436432i	0.855846	−	0.517231i	$-0.173037\pi$
$173$	7.29947	+	5.74037i	0.554968	+	0.436432i	−0.300878	+	0.953663i	$0.597280\pi$
$174$	−1.52158	+	6.15940i	−0.115350	+	0.466943i
$175$	14.3211	−	8.13418i	1.08258	−	0.614886i
$176$	−6.23273	+	2.84639i	−0.469809	+	0.214555i
$177$	−6.88767	+	2.72402i	−0.517709	+	0.204750i
$178$	−24.2815	+	5.89063i	−1.81997	+	0.441521i
$179$	−2.26443	+	11.7490i	−0.169251	+	0.878160i	0.793664	+	0.608356i	$0.208171\pi$
$179$	−2.26443	+	11.7490i	−0.169251	+	0.878160i	−0.962915	+	0.269803i	$0.913041\pi$
$180$	−3.22862	−	7.22922i	−0.240647	−	0.538834i
$181$	4.23782	+	1.93535i	0.314994	+	0.143853i	0.566638	−	0.823967i	$-0.308244\pi$
$181$	4.23782	+	1.93535i	0.314994	+	0.143853i	−0.251644	+	0.967820i	$0.580971\pi$
$182$	7.29304	+	14.3949i	0.540596	+	1.06702i
$183$	−3.85567	+	1.31642i	−0.285020	+	0.0973124i
$184$	9.29276	+	2.80607i	0.685071	+	0.206866i
$185$	16.9837	+	29.4166i	1.24867	+	2.16275i
$186$	−23.6369	−	15.3307i	−1.73314	−	1.12410i
$187$	−3.34839	+	2.38438i	−0.244858	+	0.174363i
$188$	5.40094	−	1.58586i	0.393904	−	0.115661i
$189$	12.3910	+	5.95511i	0.901312	+	0.433171i
$190$	−10.8678	−	3.19106i	−0.788430	−	0.231504i
$191$	−23.4647	+	1.11776i	−1.69785	+	0.0808783i	−0.873997	−	0.485932i	$-0.838480\pi$
$191$	−23.4647	+	1.11776i	−1.69785	+	0.0808783i	−0.823849	+	0.566810i	$0.808177\pi$
$192$	4.74039	+	1.41348i	0.342108	+	0.102009i
$193$	0.831288	−	2.40185i	0.0598374	−	0.172889i	−0.911120	−	0.412141i	$-0.864781\pi$
$193$	0.831288	−	2.40185i	0.0598374	−	0.172889i	0.970957	+	0.239252i	$0.0769023\pi$
$194$	11.3245	−	5.83819i	0.813052	−	0.419158i
$195$	3.92468	+	20.8320i	0.281052	+	1.49181i
$196$	−2.68937	−	4.81367i	−0.192098	−	0.343834i
$197$	7.57736	−	11.7906i	0.539864	−	0.840045i	−0.458963	−	0.888455i	$-0.651779\pi$
$197$	7.57736	−	11.7906i	0.539864	−	0.840045i	0.998828	+	0.0484101i	$0.0154154\pi$
$198$	−4.57961	+	5.19662i	−0.325459	+	0.369308i
$199$	−11.4658	−	8.16473i	−0.812786	−	0.578782i	0.0963183	−	0.995351i	$-0.469293\pi$
$199$	−11.4658	−	8.16473i	−0.812786	−	0.578782i	−0.909104	+	0.416568i	$0.863233\pi$
$200$	5.77368	−	11.1994i	0.408261	−	0.791916i
$201$	2.99851	+	1.56176i	0.211498	+	0.110158i
$202$	−4.83870	−	4.19276i	−0.340450	−	0.295001i
$203$	−2.44846	+	5.26283i	−0.171848	+	0.369378i
$204$	−4.03562	−	0.402406i	−0.282550	−	0.0281741i
$205$	4.91968	+	1.96954i	0.343605	+	0.137559i
$206$	−0.650089	−	1.12599i	−0.0452938	−	0.0784512i
$207$	14.2720	−	1.81905i	0.991975	−	0.126432i
$208$	15.6754	+	9.05017i	1.08689	+	0.627516i
$209$	0.398478	+	2.77148i	0.0275633	+	0.191707i
$210$	−5.76327	−	24.9784i	−0.397703	−	1.72368i
$211$	16.1557	−	4.74373i	1.11220	−	0.326572i	0.326512	−	0.945193i	$-0.394127\pi$
$211$	16.1557	−	4.74373i	1.11220	−	0.326572i	0.785690	+	0.618621i	$0.212308\pi$
$212$	7.34878	−	2.54344i	0.504716	−	0.174684i
$213$	−13.1744	−	20.6896i	−0.902692	−	1.41763i
$214$	27.9346	+	14.4013i	1.90957	+	0.984452i
$215$	−30.4900	−	2.91144i	−2.07940	−	0.198559i
$216$	10.4284	−	1.36597i	0.709562	−	0.0929423i
$217$	−18.5285	−	17.9180i	−1.25779	−	1.21636i
$218$	−31.6506	−	4.55067i	−2.14365	−	0.308211i
$219$	−1.82266	−	0.639383i	−0.123164	−	0.0432055i
$220$	3.64540	+	0.173652i	0.245773	+	0.0117076i
$221$	10.2615	+	3.55154i	0.690264	+	0.238903i
$222$	28.5215	−	6.79297i	1.91424	−	0.455914i
$223$	14.1282	+	21.9839i	0.946094	+	1.47215i	0.880356	+	0.474314i	$0.157304\pi$
$223$	14.1282	+	21.9839i	0.946094	+	1.47215i	0.0657386	+	0.997837i	$0.479060\pi$
$224$	−9.89884	−	5.19190i	−0.661394	−	0.346899i
$225$	1.04471	−	18.6459i	0.0696474	−	1.24306i
$226$	0.825517	−	3.40283i	0.0549126	−	0.226353i
$227$	−3.64507	+	0.348062i	−0.241932	+	0.0231017i	−0.215317	−	0.976544i	$-0.569079\pi$
$227$	−3.64507	+	0.348062i	−0.241932	+	0.0231017i	−0.0266142	+	0.999646i	$0.508473\pi$
$228$	−1.50326	+	2.31773i	−0.0995556	+	0.153495i
$229$	−3.68570	−	2.12794i	−0.243558	−	0.140618i	0.373253	−	0.927730i	$-0.378242\pi$
$229$	−3.68570	−	2.12794i	−0.243558	−	0.140618i	−0.616811	+	0.787111i	$0.711576\pi$
$230$	−19.2737	−	18.6613i	−1.27087	−	1.23049i
$231$	−5.02493	+	3.86105i	−0.330616	+	0.254038i
$232$	0.631969	+	4.39544i	0.0414908	+	0.288575i
$233$	17.2891	−	12.3115i	1.13265	−	0.806554i	0.149390	−	0.988778i	$-0.452269\pi$
$233$	17.2891	−	12.3115i	1.13265	−	0.806554i	0.983257	+	0.182224i	$0.0583296\pi$
$234$	18.1996	+	1.89170i	1.18974	+	0.123664i
$235$	23.5090	+	4.53098i	1.53356	+	0.295569i
$236$	2.43790	−	2.32453i	0.158694	−	0.151314i
$237$	−2.88942	−	2.29190i	−0.187688	−	0.148875i
$238$	−12.5729	−	3.78824i	−0.814977	−	0.245555i
$239$	9.62652	−	8.34143i	0.622688	−	0.539562i	−0.285364	−	0.958419i	$-0.592115\pi$
$239$	9.62652	−	8.34143i	0.622688	−	0.539562i	0.908052	+	0.418857i	$0.137569\pi$
$240$	−20.7268	−	19.9292i	−1.33791	−	1.28642i
$241$	−9.66340	−	24.1380i	−0.622474	−	1.55486i	−0.818648	−	0.574296i	$-0.805276\pi$
$241$	−9.66340	−	24.1380i	−0.622474	−	1.55486i	0.196174	−	0.980569i	$-0.437148\pi$
$242$	5.63934	+	14.0864i	0.362511	+	0.905508i
$243$	13.2873	−	8.15151i	0.852382	−	0.522919i
$244$	1.40033	−	1.21339i	0.0896467	−	0.0776793i
$245$	−0.785379	−	23.4395i	−0.0501760	−	1.49750i
$246$	2.84255	−	3.58363i	0.181235	−	0.228484i
$247$	5.35313	−	5.10420i	0.340612	−	0.324772i
$248$	−19.3625	−	3.73182i	−1.22952	−	0.236971i
$249$	4.16716	−	9.02467i	0.264083	−	0.571915i
$250$	−5.58222	+	3.97508i	−0.353051	+	0.251406i
$251$	−0.593928	−	4.13086i	−0.0374884	−	0.260737i	0.962454	−	0.271444i	$-0.0875011\pi$
$251$	−0.593928	−	4.13086i	−0.0374884	−	0.260737i	−0.999943	+	0.0107063i	$0.996592\pi$
$252$	−6.23987	−	0.393779i	−0.393075	−	0.0248057i
$253$	−2.21701	+	6.25036i	−0.139382	+	0.392957i
$254$	3.33486	+	1.92538i	0.209248	+	0.120809i
$255$	−14.4723	−	9.38662i	−0.906292	−	0.587813i
$256$	−16.2834	+	1.55488i	−1.01772	+	0.0971801i
$257$	1.39275	−	5.74099i	0.0868774	−	0.358113i	−0.911735	−	0.410779i	$-0.865257\pi$
$257$	1.39275	−	5.74099i	0.0868774	−	0.358113i	0.998612	+	0.0526659i	$0.0167718\pi$
$258$	−9.92842	+	24.5023i	−0.618117	+	1.52545i
$259$	26.8016	−	1.08732i	1.66537	−	0.0675627i
$260$	−5.21219	−	8.11033i	−0.323246	−	0.502981i
$261$	3.51186	+	5.56646i	0.217379	+	0.344555i
$262$	11.8529	+	4.10233i	0.732274	+	0.253443i
$263$	9.80997	+	0.467307i	0.604909	+	0.0288154i	0.347803	−	0.937568i	$-0.386928\pi$
$263$	9.80997	+	0.467307i	0.604909	+	0.0288154i	0.257106	+	0.966383i	$0.417231\pi$
$264$	−1.60479	+	4.57470i	−0.0987681	+	0.281554i
$265$	32.7390	+	4.70716i	2.01114	+	0.289159i
$266$	−6.21787	+	6.42970i	−0.381242	+	0.394230i
$267$	−13.0537	+	22.3927i	−0.798872	+	1.37041i
$268$	−1.53060	−	0.146155i	−0.0934965	−	0.00892783i
$269$	−4.87775	−	2.51466i	−0.297402	−	0.153321i	0.303067	−	0.952969i	$-0.401989\pi$
$269$	−4.87775	−	2.51466i	−0.297402	−	0.153321i	−0.600469	+	0.799648i	$0.705020\pi$
$270$	−27.3468	−	9.85101i	−1.66427	−	0.599514i
$271$	11.9494	−	4.13574i	0.725876	−	0.251228i	0.0609539	−	0.998141i	$-0.480586\pi$
$271$	11.9494	−	4.13574i	0.725876	−	0.251228i	0.664923	+	0.746912i	$0.268465\pi$
$272$	−14.1322	+	4.14959i	−0.856891	+	0.251606i
$273$	16.0080	+	4.89644i	0.968849	+	0.296346i
$274$	−0.327556	−	2.27821i	−0.0197884	−	0.137631i
$275$	7.45501	+	4.30415i	0.449554	+	0.259550i
$276$	−5.70496	+	3.20429i	−0.343398	+	0.192875i
$277$	−9.38619	−	16.2573i	−0.563961	−	0.976809i	−0.997145	−	0.0755041i	$-0.975943\pi$
$277$	−9.38619	−	16.2573i	−0.563961	−	0.976809i	0.433184	−	0.901305i	$-0.357390\pi$
$278$	3.08237	+	1.23399i	0.184868	+	0.0740101i
$279$	−28.4591	+	6.65238i	−1.70380	+	0.398268i
$280$	−10.3041	−	14.6882i	−0.615787	−	0.877789i
$281$	3.30501	+	2.86381i	0.197161	+	0.170841i	0.747846	−	0.663872i	$-0.231088\pi$
$281$	3.30501	+	2.86381i	0.197161	+	0.170841i	−0.550685	+	0.834713i	$0.685634\pi$
$282$	9.54623	−	18.3284i	0.568470	−	1.09144i
$283$	−9.83487	+	19.0770i	−0.584622	+	1.13401i	0.392185	+	0.919887i	$0.371719\pi$
$283$	−9.83487	+	19.0770i	−0.584622	+	1.13401i	−0.976807	+	0.214122i	$0.931311\pi$
$284$	9.08660	+	6.47054i	0.539190	+	0.383956i
$285$	−10.2002	+	5.83232i	−0.604209	+	0.345477i
$286$	−4.55991	+	7.09536i	−0.269633	+	0.419557i
$287$	3.18188	−	2.71807i	0.187821	−	0.160442i
$288$	−11.0290	+	6.24511i	−0.649892	+	0.367997i
$289$	7.25637	−	3.74092i	0.426845	−	0.220054i
$290$	4.01396	−	11.5976i	0.235708	−	0.681033i
$291$	3.77672	−	12.6660i	0.221395	−	0.742492i
$292$	0.877450	−	0.0417981i	0.0513489	−	0.00244605i
$293$	2.91123	+	0.854816i	0.170076	+	0.0499389i	0.365662	−	0.930748i	$-0.380843\pi$
$293$	2.91123	+	0.854816i	0.170076	+	0.0499389i	−0.195586	+	0.980687i	$0.562661\pi$
$294$	−19.5822	−	5.13157i	−1.14205	−	0.299279i
$295$	13.7469	−	4.03645i	0.800375	−	0.235011i
$296$	16.7159	−	11.9033i	0.971590	−	0.691866i
$297$	0.593162	+	7.16096i	0.0344187	+	0.415521i
$298$	−3.24803	−	5.62575i	−0.188153	−	0.325891i
$299$	16.8468	−	4.80685i	0.974275	−	0.277987i
$300$	2.74425	+	8.03766i	0.158439	+	0.464054i
$301$	−13.2197	+	20.2547i	−0.761970	+	1.16746i
$302$	32.8562	+	15.0049i	1.89066	+	0.863436i
$303$	−6.61433	+	0.603668i	−0.379984	+	0.0346798i
$304$	−1.89870	+	9.85140i	−0.108898	+	0.565016i
$305$	7.65877	−	1.85800i	0.438540	−	0.106389i
$306$	−11.3338	+	9.65591i	−0.647912	+	0.551992i
$307$	−16.2612	+	7.42625i	−0.928077	+	0.423839i	−0.821334	−	0.570448i	$-0.806770\pi$
$307$	−16.2612	+	7.42625i	−0.928077	+	0.423839i	−0.106744	+	0.994287i	$0.534042\pi$
$308$	1.45856	−	2.48565i	0.0831092	−	0.141633i
$309$	−1.30941	−	0.323469i	−0.0744899	−	0.0184015i
$310$	42.8374	+	33.6877i	2.43300	+	1.91333i
$311$	12.5808	−	5.03661i	0.713394	−	0.285600i	0.0135626	−	0.999908i	$-0.495683\pi$
$311$	12.5808	−	5.03661i	0.713394	−	0.285600i	0.699831	+	0.714308i	$0.253259\pi$
$312$	12.3030	−	3.55662i	0.696519	−	0.201354i
$313$	6.38961	+	33.1524i	0.361162	+	1.87389i	0.474387	+	0.880317i	$0.342670\pi$
$313$	6.38961	+	33.1524i	0.361162	+	1.87389i	−0.113225	+	0.993569i	$0.536118\pi$
$314$	−6.20132	−	13.5790i	−0.349960	−	0.766307i
$315$	−22.8223	−	13.6500i	−1.28589	−	0.769092i
$316$	1.60933	+	0.472541i	0.0905317	+	0.0265825i
$317$	−1.44830	+	0.501261i	−0.0813445	+	0.0281536i	−0.367437	−	0.930048i	$-0.619765\pi$
$317$	−1.44830	+	0.501261i	−0.0813445	+	0.0281536i	0.286093	+	0.958202i	$0.407643\pi$
$318$	11.9685	−	25.9197i	0.671160	−	1.45351i
$319$	−3.02009	+	0.288384i	−0.169093	+	0.0161464i
$320$	−8.88309	−	3.55625i	−0.496580	−	0.198801i
$321$	30.8542	−	10.5344i	1.72211	−	0.587970i
$322$	−20.1200	+	6.63383i	−1.12124	+	0.369689i
$323$			6.01880i			0.334895i
$324$	−4.20837	+	5.70523i	−0.233798	+	0.316957i
$325$	−2.16158	−	22.6371i	−0.119903	−	1.25568i
$326$	26.6369	−	27.9360i	1.47528	−	1.54723i
$327$	−26.1600	+	20.3958i	−1.44665	+	1.12789i
$328$	0.901962	−	3.07180i	0.0498025	−	0.169612i
$329$	11.7917	−	14.7786i	0.650096	−	0.814772i
$330$	9.73550	−	9.20530i	0.535922	−	0.506735i
$331$	−0.365132	+	0.0703734i	−0.0200695	+	0.00386807i	−0.199276	−	0.979943i	$-0.563859\pi$
$331$	−0.365132	+	0.0703734i	−0.0200695	+	0.00386807i	0.179207	+	0.983811i	$0.442647\pi$
$332$	−0.215105	+	4.51560i	−0.0118054	+	0.247826i
$333$	15.4275	−	26.2120i	0.845422	−	1.43641i
$334$	2.33910	−	2.97440i	0.127990	−	0.162752i
$335$	−5.50157	−	3.53564i	−0.300583	−	0.193173i
$336$	−21.5396	+	7.18492i	−1.17508	+	0.391969i
$337$	7.04035	+	15.4162i	0.383512	+	0.839774i	0.998679	+	0.0513777i	$0.0163612\pi$
$337$	7.04035	+	15.4162i	0.383512	+	0.839774i	−0.615167	+	0.788397i	$0.710911\pi$
$338$	0.574307	−	0.0273576i	0.0312382	−	0.00148806i
$339$	−1.95102	−	3.06397i	−0.105965	−	0.166412i
$340$	7.70323	+	1.48468i	0.417766	+	0.0805178i
$341$	3.17611	−	13.0921i	0.171996	−	0.708976i
$342$	2.30849	+	9.87582i	0.124829	+	0.534023i
$343$	−16.6801	−	8.04830i	−0.900639	−	0.434567i
$344$			18.5039i			0.997663i
$345$	−27.8126	+	0.994922i	−1.49738	+	0.0535648i
$346$	−13.4275	+	7.75235i	−0.721865	+	0.416769i
$347$	12.4845	+	15.8754i	0.670205	+	0.852235i	0.995635	−	0.0933314i	$-0.0297516\pi$
$347$	12.4845	+	15.8754i	0.670205	+	0.852235i	−0.325430	+	0.945566i	$0.605509\pi$
$348$	−2.43096	−	1.74645i	−0.130313	−	0.0936198i
$349$	−1.51307	−	5.15304i	−0.0809928	−	0.275836i	0.909033	−	0.416725i	$-0.136822\pi$
$349$	−1.51307	−	5.15304i	−0.0809928	−	0.275836i	−0.990025	+	0.140889i	$0.955004\pi$
$350$	3.72144	+	27.2460i	0.198920	+	1.45636i
$351$	14.5002	−	12.2492i	0.773964	−	0.653812i
$352$	−0.277986	−	5.83565i	−0.0148167	−	0.311041i
$353$	−14.5287	+	20.4028i	−0.773287	+	1.08593i	0.220582	+	0.975368i	$0.429204\pi$
$353$	−14.5287	+	20.4028i	−0.773287	+	1.08593i	−0.993869	+	0.110561i	$0.964735\pi$
$354$	0.0517574	−	12.3666i	0.00275088	−	0.657276i
$355$	21.7408	+	42.1713i	1.15388	+	2.23822i
$356$	1.67760	−	11.6679i	0.0889125	−	0.618400i
$357$	−11.8728	+	6.67798i	−0.628373	+	0.353436i
$358$	−16.8063	−	10.8007i	−0.888239	−	0.570836i
$359$	1.17384	+	6.09047i	0.0619530	+	0.321443i	0.999663	−	0.0259777i	$-0.00826988\pi$
$359$	1.17384	+	6.09047i	0.0619530	+	0.321443i	−0.937710	+	0.347420i	$0.887058\pi$
$360$	−20.3287	+	0.797894i	−1.07142	+	0.0420527i
$361$	−13.2438	−	6.82768i	−0.697045	−	0.359352i
$362$	−5.62963	+	5.36784i	−0.295887	+	0.282127i
$363$	14.5883	+	5.91123i	0.765686	+	0.310259i
$364$	−7.58363	+	0.670210i	−0.397490	+	0.0351285i
$365$	3.39865	+	1.55211i	0.177893	+	0.0812411i
$366$	0.352110	−	6.79336i	0.0184051	−	0.355095i
$367$	9.30265	−	5.37089i	0.485594	−	0.280358i	−0.237151	−	0.971473i	$-0.576214\pi$
$367$	9.30265	−	5.37089i	0.485594	−	0.280358i	0.722745	+	0.691115i	$0.242880\pi$
$368$	−14.8319	+	18.5660i	−0.773168	+	0.967818i
$369$	−0.635958	−	4.70227i	−0.0331066	−	0.244790i
$370$	−56.1363	+	8.07117i	−2.91838	+	0.419600i
$371$	15.3004	−	21.1689i	0.794359	−	1.09903i
$372$	10.8593	−	7.66458i	0.563029	−	0.397390i
$373$	−1.44623	−	4.17860i	−0.0748829	−	0.216360i	0.901347	−	0.433098i	$-0.142580\pi$
$373$	−1.44623	−	4.17860i	−0.0748829	−	0.216360i	−0.976230	+	0.216738i	$0.930458\pi$
$374$	−1.61807	−	6.66977i	−0.0836683	−	0.344885i
$375$	−1.04117	+	7.03240i	−0.0537656	+	0.363152i
$376$	1.37489	−	14.3985i	0.0709046	−	0.742547i
$377$	5.24825	+	6.05680i	0.270298	+	0.311941i
$378$	−16.9198	+	15.5112i	−0.870263	+	0.797809i
$379$	−1.64067	+	11.4111i	−0.0842753	+	0.586148i	0.903301	+	0.429008i	$0.141137\pi$
$379$	−1.64067	+	11.4111i	−0.0842753	+	0.586148i	−0.987576	+	0.157140i	$0.949772\pi$
$380$	3.30326	−	4.20044i	0.169454	−	0.215478i
$381$	3.83756	−	1.10938i	0.196604	−	0.0568355i
$382$	12.8283	−	37.0649i	0.656353	−	1.89641i
$383$	−6.77839	−	0.647257i	−0.346359	−	0.0330733i	−0.0795731	−	0.996829i	$-0.525356\pi$
$383$	−6.77839	−	0.647257i	−0.346359	−	0.0330733i	−0.266786	+	0.963756i	$0.585962\pi$
$384$	−14.2275	+	17.9367i	−0.726044	+	0.915330i
$385$	10.3585	−	6.55425i	0.527919	−	0.334036i
$386$	3.20712	+	2.77899i	0.163238	+	0.141447i
$387$	11.1838	+	25.0416i	0.568503	+	1.27294i
$388$	0.571376	+	5.98372i	0.0290072	+	0.303777i
$389$	2.39094	+	3.04033i	0.121225	+	0.154151i	0.842878	−	0.538105i	$-0.180860\pi$
$389$	2.39094	+	3.04033i	0.121225	+	0.154151i	−0.721652	+	0.692256i	$0.756617\pi$
$390$	−34.7259	−	6.84373i	−1.75841	−	0.346546i
$391$	−6.62926	+	12.6207i	−0.335256	+	0.638258i
$392$	−14.0514	+	1.81838i	−0.709705	+	0.0918423i
$393$	11.5900	−	5.91378i	0.584637	−	0.298311i
$394$	13.5739	+	19.0618i	0.683841	+	0.960321i
$395$	5.16306	+	4.92297i	0.259782	+	0.247701i
$396$	−1.47306	−	2.91703i	−0.0740239	−	0.146586i
$397$	14.6016	+	15.3137i	0.732833	+	0.768573i	0.979698	−	0.200477i	$-0.0642492\pi$
$397$	14.6016	+	15.3137i	0.732833	+	0.768573i	−0.246866	+	0.969050i	$0.579401\pi$
$398$	19.7707	−	12.7059i	0.991016	−	0.636887i
$399$	0.337317	+	9.27262i	0.0168870	+	0.464212i
$400$	20.1990	+	23.3109i	1.00995	+	1.16555i
$401$	−13.6286	−	26.4357i	−0.680579	−	1.32014i	−0.935552	−	0.353190i	$-0.885097\pi$
$401$	−13.6286	−	26.4357i	−0.680579	−	1.32014i	0.254973	−	0.966948i	$-0.417933\pi$
$402$	−4.28150	+	3.67868i	−0.213542	+	0.183476i
$403$	−33.0386	+	13.2267i	−1.64577	+	0.658867i
$404$	2.68483	−	1.38413i	0.133575	−	0.0688628i
$405$	−27.0290	+	13.3665i	−1.34308	+	0.664187i
$406$	−6.63824	−	7.06104i	−0.329450	−	0.350433i
$407$	7.57969	+	11.7942i	0.375711	+	0.584618i
$408$	−4.81402	+	9.24271i	−0.238329	+	0.457582i
$409$	−1.66931	+	8.66119i	−0.0825419	+	0.428268i	0.917025	+	0.398830i	$0.130584\pi$
$409$	−1.66931	+	8.66119i	−0.0825419	+	0.428268i	−0.999567	+	0.0294377i	$0.990628\pi$
$410$	−6.10575	+	6.40353i	−0.301542	+	0.316248i
$411$	−1.93912	−	1.39311i	−0.0956496	−	0.0687169i
$412$	0.607161	−	0.0872966i	0.0299127	−	0.00430079i
$413$	2.21950	−	11.0942i	0.109214	−	0.545910i
$414$	−6.03683	+	23.2511i	−0.296694	+	1.14273i
$415$	−9.61400	+	16.6519i	−0.471932	+	0.817411i
$416$	−12.1313	+	9.54016i	−0.594786	+	0.467745i
$417$	3.13901	−	1.41769i	0.153718	−	0.0694246i
$418$	−4.54319	−	1.10216i	−0.222214	−	0.0539086i
$419$	−15.2501	+	17.5996i	−0.745016	+	0.859795i	−0.994075	−	0.108694i	$-0.965333\pi$
$419$	−15.2501	+	17.5996i	−0.745016	+	0.859795i	0.249059	+	0.968488i	$0.419879\pi$
$420$	11.9509	+	1.85559i	0.583143	+	0.0905433i
$421$	−24.9350	+	16.0247i	−1.21526	+	0.780997i	−0.981531	−	0.191306i	$-0.938728\pi$
$421$	−24.9350	+	16.0247i	−1.21526	+	0.780997i	−0.233725	+	0.972303i	$0.575091\pi$
$422$	−2.67231	+	27.9857i	−0.130086	+	1.36232i
$423$	−6.84181	−	20.3167i	−0.332660	−	0.987834i
$424$	0.950793	−	19.9596i	0.0461746	−	0.969324i
$425$	14.5454	+	11.4386i	0.705555	+	0.554855i
$426$	40.2450	−	7.58204i	1.94988	−	0.367351i
$427$	1.50986	−	6.03753i	0.0730670	−	0.292177i
$428$	−11.2058	+	9.70989i	−0.541653	+	0.469345i
$429$	2.02717	+	8.51144i	0.0978727	+	0.410936i
$430$	23.4333	−	45.4542i	1.13005	−	2.19199i
$431$	−22.4445	+	5.44497i	−1.08111	+	0.262275i	−0.736477	−	0.676462i	$-0.763512\pi$
$431$	−22.4445	+	5.44497i	−1.08111	+	0.262275i	−0.344634	+	0.938737i	$0.611997\pi$
$432$	−6.38366	+	24.9427i	−0.307134	+	1.20005i
$433$	−1.23653	−	4.21122i	−0.0594236	−	0.202378i	0.924430	−	0.381351i	$-0.124541\pi$
$433$	−1.23653	−	4.21122i	−0.0594236	−	0.202378i	−0.983854	+	0.178972i	$0.942723\pi$
$434$	39.2715	−	17.6010i	1.88509	−	0.844875i
$435$	−5.78639	−	11.3403i	−0.277436	−	0.543726i
$436$	7.54293	−	13.0647i	0.361241	−	0.625687i
$437$	5.57194	+	7.95288i	0.266542	+	0.380438i
$438$	2.12211	−	2.42844i	0.101398	−	0.116035i
$439$	0.433767	−	1.08350i	0.0207026	−	0.0517125i	−0.917657	−	0.397375i	$-0.869921\pi$
$439$	0.433767	−	1.08350i	0.0207026	−	0.0517125i	0.938359	+	0.345662i	$0.112346\pi$
$440$	3.89565	−	8.53029i	0.185718	−	0.406665i
$441$	−17.9170	+	10.9535i	−0.853192	+	0.521598i
$442$	−11.8728	+	13.7019i	−0.564730	+	0.651733i
$443$	5.00953	+	5.25384i	0.238010	+	0.249618i	0.831896	−	0.554931i	$-0.187256\pi$
$443$	5.00953	+	5.25384i	0.238010	+	0.249618i	−0.593886	+	0.804549i	$0.702407\pi$
$444$	−2.02584	+	13.6832i	−0.0961421	+	0.649378i
$445$	29.0827	−	40.8409i	1.37865	−	1.93604i
$446$	−42.8432	+	8.25735i	−2.02868	+	0.390997i
$447$	−6.54219	−	1.61614i	−0.309435	−	0.0764408i
$448$	−5.74529	+	4.90780i	−0.271439	+	0.231872i
$449$	−19.5624	−	2.81264i	−0.923205	−	0.132737i	−0.335711	−	0.941965i	$-0.608977\pi$
$449$	−19.5624	−	2.81264i	−0.923205	−	0.132737i	−0.587494	+	0.809228i	$0.699886\pi$
$450$	28.2537	+	13.1900i	1.33189	+	0.621781i
$451$	2.06694	+	0.715376i	0.0973286	+	0.0336857i
$452$	1.34566	+	0.958237i	0.0632943	+	0.0450717i
$453$	34.8443	−	13.7806i	1.63713	−	0.647470i
$454$	1.72242	−	5.86601i	0.0808369	−	0.275305i
$455$	−29.9760	−	12.2466i	−1.40530	−	0.574128i
$456$	4.09333	+	5.79949i	0.191688	+	0.271586i
$457$	−1.52011	−	2.13469i	−0.0711076	−	0.0998566i	0.777491	−	0.628895i	$-0.216492\pi$
$457$	−1.52011	−	2.13469i	−0.0711076	−	0.0998566i	−0.848598	+	0.529038i	$0.822553\pi$
$458$	5.58554	−	4.39252i	0.260995	−	0.205249i
$459$	−0.928595	+	15.4179i	−0.0433431	+	0.719647i
$460$	11.5530	−	5.16954i	0.538663	−	0.241031i
$461$	9.17290			0.427224			0.213612	−	0.976919i	$-0.431477\pi$
$461$	9.17290			0.427224			0.213612	+	0.976919i	$0.431477\pi$
$462$	−2.86661	−	10.1848i	−0.133367	−	0.473841i
$463$	1.90398	−	4.16913i	0.0884853	−	0.193756i	−0.860216	−	0.509930i	$-0.829671\pi$
$463$	1.90398	−	4.16913i	0.0884853	−	0.193756i	0.948701	+	0.316174i	$0.102399\pi$
$464$	−10.5642	−	2.56285i	−0.490430	−	0.118977i
$465$	55.9915	−	7.81132i	2.59654	−	0.362241i
$466$	8.35475	+	34.4387i	0.387026	+	1.59534i
$467$	−0.942214	−	19.7795i	−0.0436005	−	0.915286i	−0.909662	−	0.415349i	$-0.863659\pi$
$467$	−0.942214	−	19.7795i	−0.0436005	−	0.915286i	0.866062	−	0.499937i	$-0.166644\pi$
$468$	−4.01975	+	7.63953i	−0.185813	+	0.353137i
$469$	−4.49054	+	2.55056i	−0.207354	+	0.117774i
$470$	−21.6116	+	33.6283i	−0.996868	+	1.55116i
$471$	−14.6129	−	5.12617i	−0.673328	−	0.236201i
$472$	−3.21696	−	8.03559i	−0.148073	−	0.369868i
$473$	−12.6275	−	0.601520i	−0.580611	−	0.0276579i
$474$	5.34556	−	3.05650i	0.245530	−	0.140390i
$475$	11.4654	−	5.23607i	0.526069	−	0.240247i
$476$	3.86380	−	4.84254i	0.177097	−	0.221957i
$477$	−10.7769	−	27.5863i	−0.493439	−	1.26309i
$478$	6.95591	+	20.0978i	0.318156	+	0.919251i
$479$	8.18173	+	7.80126i	0.373833	+	0.356449i	0.853584	−	0.520956i	$-0.174424\pi$
$479$	8.18173	+	7.80126i	0.373833	+	0.356449i	−0.479751	+	0.877405i	$0.659273\pi$
$480$	22.3436	−	10.0912i	1.01984	−	0.460597i
$481$	13.7647	−	34.3825i	0.627615	−	1.56771i
$482$	43.4115			1.97734
$483$	−9.50578	+	19.8152i	−0.432528	+	0.901621i
$484$	−7.15853			−0.325388
$485$	−9.50204	+	23.7350i	−0.431465	+	1.07775i
$486$	4.38983	+	25.6543i	0.199127	+	1.16370i
$487$	−9.40213	−	8.96491i	−0.426051	−	0.406239i	0.446483	−	0.894792i	$-0.352676\pi$
$487$	−9.40213	−	8.96491i	−0.426051	−	0.406239i	−0.872534	+	0.488553i	$0.837525\pi$
$488$	−1.55722	−	4.49929i	−0.0704920	−	0.203673i
$489$	−1.73789	−	40.0048i	−0.0785900	−	1.80908i
$490$	36.8197	+	13.3279i	1.66334	+	0.602093i
$491$	−31.5735	+	14.4191i	−1.42489	+	0.650726i	−0.970726	−	0.240191i	$-0.922790\pi$
$491$	−31.5735	+	14.4191i	−1.42489	+	0.650726i	−0.454166	+	0.890917i	$0.650063\pi$
$492$	1.07117	+	1.87338i	0.0482920	+	0.0844586i
$493$	−6.51410	−	0.310305i	−0.293380	−	0.0139754i
$494$	4.58988	+	11.4650i	0.206509	+	0.515834i
$495$	0.116342	−	13.8987i	0.00522917	−	0.624701i
$496$	26.0975	−	40.6085i	1.17181	−	1.82338i
$497$	37.4662	+	0.264250i	1.68059	+	0.0118532i
$498$	11.4027	+	12.0595i	0.510969	+	0.540399i
$499$	−1.89607	−	39.8034i	−0.0848796	−	1.78184i	−0.494098	−	0.869406i	$-0.664502\pi$
$499$	−1.89607	−	39.8034i	−0.0848796	−	1.78184i	0.409218	−	0.912437i	$-0.365802\pi$
$500$	−0.762234	−	3.14197i	−0.0340881	−	0.140513i
$501$	−0.542377	−	3.88775i	−0.0242316	−	0.173692i
$502$	6.77157	+	1.64277i	0.302230	+	0.0733202i
$503$	−12.5183	+	27.4113i	−0.558165	+	1.22221i	0.394698	+	0.918811i	$0.370849\pi$
$503$	−12.5183	+	27.4113i	−0.558165	+	1.22221i	−0.952863	+	0.303401i	$0.901878\pi$
$504$	−6.89852	+	14.5092i	−0.307285	+	0.646291i
$505$	12.8476			0.571710
$506$	−8.31259	−	7.31509i	−0.369540	−	0.325195i
$507$	0.392474	−	0.449127i	0.0174304	−	0.0199464i
$508$	−1.42805	+	1.12303i	−0.0633594	+	0.0498264i
$509$	−12.3988	−	17.4117i	−0.549567	−	0.771759i	0.442594	−	0.896722i	$-0.354058\pi$
$509$	−12.3988	−	17.4117i	−0.549567	−	0.771759i	−0.992161	+	0.124963i	$0.960119\pi$
$510$	23.5304	−	16.6079i	1.04194	−	0.735412i
$511$	2.33205	−	1.80747i	0.103164	−	0.0799579i
$512$	0.246572	−	0.839746i	0.0108970	−	0.0371119i
$513$	9.04479	+	5.37454i	0.399337	+	0.237292i
$514$	8.03453	+	5.72137i	0.354388	+	0.252359i
$515$	2.46550	+	0.853318i	0.108643	+	0.0376017i
$516$	−8.99087	−	8.64491i	−0.395801	−	0.380571i
$517$	9.78117	+	1.40632i	0.430175	+	0.0618499i
$518$	−14.9462	+	42.2183i	−0.656697	+	1.85497i
$519$	−3.85738	+	15.6148i	−0.169320	+	0.685415i
$520$	−24.3250	+	4.68825i	−1.06672	+	0.205594i
$521$	23.1715	−	32.5398i	1.01516	−	1.42560i	0.113306	−	0.993560i	$-0.463856\pi$
$521$	23.1715	−	32.5398i	1.01516	−	1.42560i	0.901856	−	0.432036i	$-0.142205\pi$
$522$	−10.8075	+	1.98931i	−0.473033	+	0.0870695i
$523$	−23.0260	−	24.1489i	−1.00685	−	1.05596i	−0.998431	−	0.0559944i	$-0.982167\pi$
$523$	−23.0260	−	24.1489i	−1.00685	−	1.05596i	−0.00842376	−	0.999965i	$-0.502681\pi$
$524$	−3.87512	+	4.47213i	−0.169286	+	0.195366i
$525$	23.0498	+	16.8073i	1.00598	+	0.733529i
$526$	−6.81187	+	14.9159i	−0.297012	+	0.650365i
$527$	10.7630	−	26.8845i	0.468841	−	1.17111i
$528$	−8.93653	−	7.80927i	−0.388913	−	0.339855i
$529$	2.92421	+	22.8134i	0.127140	+	0.991885i
$530$	−27.6123	+	47.8260i	−1.19940	+	2.07743i
$531$	−9.21029	−	8.93037i	−0.399692	−	0.387545i
$532$	−1.72587	−	3.85078i	−0.0748262	−	0.166953i
$533$	−1.62783	−	5.54387i	−0.0705090	−	0.240132i
$534$	−26.6093	−	34.1294i	−1.15150	−	1.47693i
$535$	−61.2877	+	14.8682i	−2.64970	+	0.642810i
$536$	−1.81040	+	3.51169i	−0.0781974	+	0.151682i
$537$	−20.1604	+	4.80162i	−0.869987	+	0.207205i
$538$	6.92469	−	6.00028i	0.298545	−	0.258690i
$539$	−0.784124	−	9.64812i	−0.0337746	−	0.415574i
$540$	9.10977	−	10.2503i	0.392022	−	0.441103i
$541$	−11.4955	−	9.04017i	−0.494231	−	0.388667i	0.339702	−	0.940533i	$-0.389674\pi$
$541$	−11.4955	−	9.04017i	−0.494231	−	0.388667i	−0.833933	+	0.551866i	$0.813916\pi$
$542$	−1.00457	+	21.0886i	−0.0431501	+	0.905832i
$543$	−0.0337720	+	8.06925i	−0.00144929	+	0.346285i
$544$	1.19376	−	12.5016i	0.0511820	−	0.536002i
$545$	53.9787	−	34.6900i	2.31219	−	1.48596i
$546$	−17.5234	+	21.7747i	−0.749932	+	0.931870i
$547$	1.64525	−	1.89872i	0.0703457	−	0.0811832i	−0.719486	−	0.694507i	$-0.755622\pi$
$547$	1.64525	−	1.89872i	0.0703457	−	0.0811832i	0.789832	+	0.613324i	$0.210168\pi$
$548$	1.05527	+	0.256005i	0.0450788	+	0.0109360i
$549$	−4.82679	−	5.14778i	−0.206002	−	0.219702i
$550$	−11.2978	+	8.88469i	−0.481740	+	0.378844i
$551$	−2.22109	+	3.84704i	−0.0946216	+	0.163890i
$552$	2.19553	+	16.6694i	0.0934481	+	0.709495i
$553$	5.33658	−	1.80496i	0.226934	−	0.0767548i
$554$	31.0242	−	4.46060i	1.31809	−	0.189513i
$555$	−34.3269	+	47.7809i	−1.45710	+	2.02819i
$556$	−1.08096	+	1.13367i	−0.0458427	+	0.0480785i
$557$	−4.41125	+	22.8877i	−0.186911	+	0.969784i	0.760397	+	0.649459i	$0.225004\pi$
$557$	−4.41125	+	22.8877i	−0.186911	+	0.969784i	−0.947308	+	0.320326i	$0.896208\pi$
$558$	7.34867	−	48.2410i	0.311094	−	2.04221i
$559$	18.0548	+	28.0938i	0.763635	+	1.18824i
$560$	42.7558	−	10.0537i	1.80676	−	0.424846i
$561$	−6.15094	−	3.58565i	−0.259693	−	0.151386i
$562$	−6.48994	+	3.34580i	−0.273762	+	0.141134i
$563$	31.9974	−	12.8098i	1.34853	−	0.539870i	0.418788	−	0.908084i	$-0.362455\pi$
$563$	31.9974	−	12.8098i	1.34853	−	0.539870i	0.929741	+	0.368214i	$0.120031\pi$
$564$	6.35376	+	7.39494i	0.267542	+	0.311383i
$565$	3.21965	+	6.24525i	0.135452	+	0.262740i
$566$	−23.4672	−	27.0826i	−0.986400	−	1.13837i
$567$	−0.566521	+	23.8050i	−0.0237916	+	0.999717i
$568$	24.1133	−	15.4967i	1.01177	−	0.650227i
$569$	14.1612	+	14.8518i	0.593667	+	0.622620i	0.950192	−	0.311666i	$-0.100887\pi$
$569$	14.1612	+	14.8518i	0.593667	+	0.622620i	−0.356525	+	0.934286i	$0.616038\pi$
$570$	−2.71066	−	19.4300i	−0.113537	−	0.813834i
$571$	−24.4748	−	23.3367i	−1.02424	−	0.976610i	−0.0245056	−	0.999700i	$-0.507801\pi$
$571$	−24.4748	−	23.3367i	−1.02424	−	0.976610i	−0.999733	+	0.0230897i	$0.992650\pi$
$572$	−2.30814	−	3.24133i	−0.0965082	−	0.135527i
$573$	−18.4929	−	36.2428i	−0.772550	−	1.51406i
$574$	2.23862	+	6.61874i	0.0934383	+	0.276261i
$575$	29.8088	+	1.64883i	1.24311	+	0.0687611i
$576$	1.14830	+	8.49053i	0.0478459	+	0.353772i
$577$	15.9317	+	20.2588i	0.663244	+	0.843384i	0.994989	−	0.0999855i	$-0.0318796\pi$
$577$	15.9317	+	20.2588i	0.663244	+	0.843384i	−0.331745	+	0.943369i	$0.607637\pi$
$578$	1.29569	+	13.5691i	0.0538937	+	0.564401i
$579$	4.38402	−	0.400115i	0.182194	−	0.0166282i
$580$	4.37580	+	3.79165i	0.181695	+	0.157440i
$581$	8.11884	+	12.8312i	0.336826	+	0.532330i
$582$	17.2892	+	13.7139i	0.716660	+	0.568458i
$583$	13.5900	+	1.29768i	0.562839	+	0.0537446i
$584$	0.738266	−	2.13308i	0.0305497	−	0.0882675i
$585$	−30.0858	+	21.0467i	−1.24390	+	0.870175i
$586$	−3.13155	+	3.98209i	−0.129363	+	0.164499i
$587$	1.91548	−	13.3225i	0.0790605	−	0.549878i	−0.911340	−	0.411654i	$-0.864951\pi$
$587$	1.91548	−	13.3225i	0.0790605	−	0.549878i	0.990401	−	0.138224i	$-0.0441395\pi$
$588$	5.68121	−	7.67700i	0.234289	−	0.316594i
$589$	−12.9176	−	14.9077i	−0.532260	−	0.614261i
$590$	−2.27387	+	23.8131i	−0.0936139	+	0.980370i
$591$	24.0138	+	3.55531i	0.987796	+	0.146246i
$592$	11.8433	+	48.8189i	0.486758	+	2.00645i
$593$	14.9816	+	43.2865i	0.615221	+	1.77756i	0.628692	+	0.777654i	$0.283591\pi$
$593$	14.9816	+	43.2865i	0.615221	+	1.77756i	−0.0134715	+	0.999909i	$0.504288\pi$
$594$	−11.4679	−	3.52427i	−0.470533	−	0.144602i
$595$	24.0450	−	10.7767i	0.985749	−	0.441801i
$596$	3.03355	−	0.436158i	0.124259	−	0.0178657i
$597$	4.71408	−	23.9198i	0.192934	−	0.978972i
$598$	−3.00335	+	29.0961i	−0.122816	+	1.18983i
$599$	25.6725	−	14.8220i	1.04895	−	0.605611i	0.126594	−	0.991955i	$-0.459596\pi$
$599$	25.6725	−	14.8220i	1.04895	−	0.605611i	0.922355	+	0.386344i	$0.126262\pi$
$600$	21.7947	+	1.12965i	0.889765	+	0.0461178i
$601$	−11.6974	−	5.34204i	−0.477148	−	0.217906i	0.162299	−	0.986742i	$-0.448109\pi$
$601$	−11.6974	−	5.34204i	−0.477148	−	0.217906i	−0.639447	+	0.768835i	$0.720837\pi$
$602$	−23.1923	−	33.0601i	−0.945248	−	1.34743i
$603$	−0.327580	+	5.84663i	−0.0133401	+	0.238093i
$604$	−12.3332	+	11.7597i	−0.501830	+	0.478494i
$605$	−27.0627	−	13.9518i	−1.10026	−	0.567221i
$606$	3.16877	−	10.6271i	0.128723	−	0.431697i
$607$	−5.82389	−	30.2172i	−0.236384	−	1.22648i	−0.885083	−	0.465433i	$-0.845899\pi$
$607$	−5.82389	−	30.2172i	−0.236384	−	1.22648i	0.648699	−	0.761045i	$-0.275314\pi$
$608$	−7.19637	−	4.62483i	−0.291851	−	0.187562i
$609$	−10.0531	−	0.112983i	−0.407371	−	0.00457828i
$610$	−1.87263	+	13.0244i	−0.0758205	+	0.527343i
$611$	−11.9616	−	23.2022i	−0.483914	−	0.938662i
$612$	−2.24187	−	6.65722i	−0.0906221	−	0.269102i
$613$	3.21659	−	4.51707i	0.129917	−	0.182443i	−0.744494	−	0.667630i	$-0.767309\pi$
$613$	3.21659	−	4.51707i	0.129917	−	0.182443i	0.874411	+	0.485187i	$0.161248\pi$
$614$	−1.42021	−	29.8140i	−0.0573152	−	1.20319i
$615$	0.398361	+	9.16996i	0.0160635	+	0.369769i
$616$	−4.53659	−	5.85323i	−0.182784	−	0.235834i
$617$	−4.28147	−	14.5813i	−0.172365	−	0.587022i	−0.999680	−	0.0252841i	$-0.991951\pi$
$617$	−4.28147	−	14.5813i	−0.172365	−	0.587022i	0.827315	−	0.561738i	$-0.189867\pi$
$618$	1.31394	−	1.82892i	0.0528544	−	0.0735700i
$619$	−2.53616	−	3.22499i	−0.101937	−	0.129623i	0.732408	−	0.680866i	$-0.238396\pi$
$619$	−2.53616	−	3.22499i	−0.101937	−	0.129623i	−0.834345	+	0.551243i	$0.814154\pi$
$620$	−22.2662	+	12.8554i	−0.894232	+	0.516285i
$621$	13.0462	+	21.2320i	0.523527	+	0.852009i
$622$			22.6263i			0.907232i
$623$	−17.8939	−	35.3187i	−0.716904	−	1.41502i
$624$	−3.11066	+	31.1960i	−0.124526	+	1.24884i
$625$	−4.09606	+	16.8842i	−0.163842	+	0.675368i
$626$	−55.3528	−	10.6684i	−2.21234	−	0.426394i
$627$	−4.09077	+	2.60485i	−0.163369	+	0.104028i
$628$	7.03483	−	0.335110i	0.280720	−	0.0133724i
$629$	12.5193	+	27.4135i	0.499178	+	1.09305i
$630$	35.3204	−	26.9051i	1.40720	−	1.07192i
$631$	−23.4041	−	15.0409i	−0.931703	−	0.598769i	−0.0156720	−	0.999877i	$-0.504989\pi$
$631$	−23.4041	−	15.0409i	−0.931703	−	0.598769i	−0.916031	+	0.401108i	$0.868625\pi$
$632$	2.66418	−	3.38778i	0.105975	−	0.134759i
$633$	19.0058	+	22.1202i	0.755413	+	0.879201i
$634$	0.121756	−	2.55598i	0.00483556	−	0.101511i
$635$	−7.58747	+	1.46237i	−0.301100	+	0.0580322i
$636$	9.25398	+	9.78698i	0.366944	+	0.388079i
$637$	−19.5595	+	16.4712i	−0.774976	+	0.652611i
$638$	1.42709	−	4.86023i	0.0564991	−	0.192418i
$639$	23.2668	−	35.5461i	0.920420	−	1.40618i
$640$	30.5604	−	32.0509i	1.20801	−	1.26692i
$641$	0.673162	+	7.04967i	0.0265883	+	0.278445i	0.998982	+	0.0451009i	$0.0143609\pi$
$641$	0.673162	+	7.04967i	0.0265883	+	0.278445i	−0.972394	+	0.233345i	$0.925033\pi$
$642$	−2.81769	+	54.3625i	−0.111205	+	2.14551i
$643$		−	31.9216i		−	1.25886i	−0.777056	−	0.629432i	$-0.783288\pi$
$643$		−	31.9216i		−	1.25886i	0.777056	−	0.629432i	$-0.216712\pi$
$644$	0.622386	−	9.97557i	0.0245255	−	0.393093i
$645$	−17.1411	−	50.2049i	−0.674931	−	1.97682i
$646$	−9.32941	−	3.73493i	−0.367061	−	0.146949i
$647$	−43.6478	+	4.16786i	−1.71597	+	0.163855i	−0.906188	−	0.422874i	$-0.861021\pi$
$647$	−43.6478	+	4.16786i	−1.71597	+	0.163855i	−0.809783	+	0.586730i	$0.800415\pi$
$648$	9.59082	+	15.4877i	0.376763	+	0.608413i
$649$	5.58824	−	1.93411i	0.219358	−	0.0759204i
$650$	36.4299	+	10.6968i	1.42890	+	0.419563i
$651$	15.0748	−	42.0218i	0.590827	−	1.64696i
$652$	7.56505	+	16.5652i	0.296270	+	0.648741i
$653$	1.25435	+	6.50819i	0.0490865	+	0.254685i	0.998180	−	0.0603105i	$-0.0192091\pi$
$653$	1.25435	+	6.50819i	0.0490865	+	0.254685i	−0.949093	+	0.314996i	$0.897997\pi$
$654$	−15.3810	−	53.2056i	−0.601445	−	2.08050i
$655$	−23.3659	+	9.35430i	−0.912981	+	0.365503i
$656$	6.16044	+	4.84463i	0.240525	+	0.189151i
$657$	−0.290127	−	3.33294i	−0.0113189	−	0.130031i
$658$	15.5903	+	27.4484i	0.607772	+	1.07005i
$659$	−26.7563	+	12.2192i	−1.04228	+	0.475992i	−0.861620	−	0.507554i	$-0.830550\pi$
$659$	−26.7563	+	12.2192i	−1.04228	+	0.475992i	−0.180657	+	0.983546i	$0.557823\pi$
$660$	2.32476	+	5.87816i	0.0904912	+	0.228807i
$661$	−0.504486	+	0.122387i	−0.0196222	+	0.00476030i	−0.245558	−	0.969382i	$-0.578971\pi$
$661$	−0.504486	+	0.122387i	−0.0196222	+	0.00476030i	0.225936	+	0.974142i	$0.427456\pi$
$662$	0.117499	−	0.609640i	0.00456671	−	0.0236943i
$663$	1.70943	+	18.7300i	0.0663886	+	0.727414i
$664$	10.5666	+	4.82560i	0.410063	+	0.187269i
$665$	0.980436	−	17.9215i	0.0380197	−	0.694966i
$666$	31.0564	+	40.1790i	1.20341	+	1.55691i
$667$	−8.89460	+	5.62044i	−0.344400	+	0.217624i
$668$	0.892611	+	1.54605i	0.0345362	+	0.0598184i
$669$	−24.6299	+	37.9745i	−0.952247	+	1.46818i
$670$	8.89437	−	6.33365i	0.343619	−	0.244690i
$671$	3.12104	−	0.916419i	0.120486	−	0.0353780i
$672$	1.13848	−	19.3270i	0.0439177	−	0.745555i
$673$	−9.62894	−	2.82731i	−0.371168	−	0.108985i	0.0908282	−	0.995867i	$-0.471049\pi$
$673$	−9.62894	−	2.82731i	−0.371168	−	0.108985i	−0.461997	+	0.886882i	$0.652867\pi$
$674$	−28.2647	+	1.34641i	−1.08871	+	0.0518618i
$675$	30.1779	−	11.6439i	1.16155	−	0.448176i
$676$	−0.0887195	+	0.256338i	−0.00341229	+	0.00985916i
$677$	14.9599	−	7.71239i	0.574957	−	0.296411i	−0.146119	−	0.989267i	$-0.546678\pi$
$677$	14.9599	−	7.71239i	0.574957	−	0.296411i	0.721076	+	0.692856i	$0.243648\pi$
$678$	5.95998	−	1.12284i	0.228892	−	0.0431225i
$679$	13.1133	+	15.3510i	0.503242	+	0.589117i
$680$	10.8984	−	16.9582i	0.417934	−	0.650318i
$681$	−3.14807	−	5.50570i	−0.120634	−	0.210979i
$682$	18.3224	+	13.0473i	0.701601	+	0.499608i
$683$	2.45670	−	4.76533i	0.0940030	−	0.182340i	−0.837146	−	0.546980i	$-0.815777\pi$
$683$	2.45670	−	4.76533i	0.0940030	−	0.182340i	0.931149	+	0.364639i	$0.118808\pi$
$684$	−4.73030	−	0.720577i	−0.180867	−	0.0275519i
$685$	3.49047	+	3.02451i	0.133364	+	0.115561i
$686$	22.8259	−	20.8605i	0.871499	−	0.796459i
$687$	0.731402	−	7.33503i	0.0279047	−	0.279849i
$688$	−42.0525	−	16.8353i	−1.60324	−	0.641839i
$689$	−18.0316	−	31.2316i	−0.686948	−	1.18983i
$690$	15.7168	−	43.7281i	0.598327	−	1.66470i
$691$	−1.10973	−	0.640700i	−0.0422160	−	0.0243734i	0.478743	−	0.877955i	$-0.341092\pi$
$691$	−1.10973	−	0.640700i	−0.0422160	−	0.0243734i	−0.520959	+	0.853581i	$0.674426\pi$
$692$	−1.04102	−	7.24044i	−0.0395736	−	0.275240i
$693$	−9.67714	−	5.17936i	−0.367604	−	0.196748i
$694$	−32.3547	+	9.50021i	−1.22817	+	0.360623i
$695$	−6.29603	+	2.17908i	−0.238822	+	0.0826572i
$696$	−6.48778	+	4.13118i	−0.245919	+	0.156592i
$697$	4.17901	+	2.15443i	0.158291	+	0.0816049i
$698$	8.92637	+	0.852365i	0.337868	+	0.0322625i
$699$	31.7598	+	18.5142i	1.20127	+	0.700271i
$700$	−12.5860	−	3.14749i	−0.475707	−	0.118964i
$701$	−37.6647	−	5.41536i	−1.42258	−	0.204536i	−0.612319	−	0.790611i	$-0.709763\pi$
$701$	−37.6647	−	5.41536i	−1.42258	−	0.204536i	−0.810257	+	0.586075i	$0.800672\pi$
$702$	9.98872	+	30.0771i	0.377000	+	1.13519i
$703$	20.5048	+	0.976765i	0.773354	+	0.0368394i
$704$	−3.73212	−	1.29170i	−0.140660	−	0.0486828i
$705$	9.60773	+	40.3398i	0.361848	+	1.51928i
$706$	−22.6095	−	35.1810i	−0.850919	−	1.32406i
$707$	4.71245	−	8.98472i	0.177230	−	0.337905i
$708$	5.40736	+	2.19108i	0.203221	+	0.0823460i
$709$	0.288027	−	1.18726i	0.0108171	−	0.0445886i	−0.966147	−	0.257991i	$-0.916939\pi$
$709$	0.288027	−	1.18726i	0.0108171	−	0.0445886i	0.976964	+	0.213403i	$0.0684546\pi$
$710$	−78.8585	+	7.53008i	−2.95951	+	0.282599i
$711$	1.55790	−	6.19497i	0.0584259	−	0.232329i
$712$	−26.2319	−	15.1450i	−0.983081	−	0.567582i
$713$	−10.6670	−	45.4875i	−0.399482	−	1.70352i
$714$	−2.98359	−	22.5473i	−0.111658	−	0.843811i
$715$	−2.40862	−	16.7523i	−0.0900772	−	0.626500i
$716$	7.67751	−	5.46713i	0.286922	−	0.204316i
$717$	20.0301	+	9.24895i	0.748038	+	0.345408i
$718$	−10.1689	−	1.95990i	−0.379501	−	0.0731427i
$719$	−20.6413	+	19.6814i	−0.769789	+	0.733992i	−0.969294	−	0.245905i	$-0.920915\pi$
$719$	−20.6413	+	19.6814i	−0.769789	+	0.733992i	0.199505	+	0.979897i	$0.436067\pi$
$720$	16.6823	−	46.9257i	0.621711	−	1.74882i
$721$	1.50109	−	1.41121i	0.0559035	−	0.0525562i
$722$	18.8016	−	16.2917i	0.699723	−	0.606314i
$723$	31.2132	−	32.4624i	1.16083	−	1.20729i
$724$	−1.36393	−	3.40694i	−0.0506902	−	0.126618i
$725$	5.07585	+	12.6789i	0.188512	+	0.470881i
$726$	−18.2153	+	18.9443i	−0.676035	+	0.703089i
$727$	9.93878	−	8.61200i	0.368609	−	0.319401i	−0.450785	−	0.892633i	$-0.648856\pi$
$727$	9.93878	−	8.61200i	0.368609	−	0.319401i	0.819394	+	0.573231i	$0.194310\pi$
$728$	−5.64367	+	18.7309i	−0.209168	+	0.694212i
$729$	22.3402	+	15.1630i	0.827413	+	0.561593i
$730$	−4.51485	+	4.30490i	−0.167102	+	0.159332i
$731$	−26.6836	−	5.14284i	−0.986928	−	0.190215i
$732$	2.91369	+	1.34540i	0.107693	+	0.0497275i
$733$	−23.7780	+	16.9322i	−0.878260	+	0.625406i	−0.927682	−	0.373372i	$-0.878201\pi$
$733$	−23.7780	+	16.9322i	−0.878260	+	0.625406i	0.0494220	+	0.998778i	$0.484262\pi$
$734$	2.55241	+	17.7524i	0.0942111	+	0.655253i
$735$	36.4400	−	17.9502i	1.34411	−	0.662104i
$736$	−9.99607	−	17.6240i	−0.368460	−	0.649629i
$737$	−2.33760	−	1.34961i	−0.0861066	−	0.0497137i
$738$	7.68337	+	1.93220i	0.282829	+	0.0711254i
$739$	8.26210	−	0.788935i	0.303926	−	0.0290214i	0.0580212	−	0.998315i	$-0.481521\pi$
$739$	8.26210	−	0.788935i	0.303926	−	0.0290214i	0.245905	+	0.969294i	$0.420915\pi$
$740$	6.30811	−	26.0024i	0.231891	−	0.955866i
$741$	11.8735	+	4.81117i	0.436183	+	0.176743i
$742$	23.3181	+	36.8526i	0.856035	+	1.35290i
$743$	22.4969	+	35.0058i	0.825331	+	1.28424i	0.956163	+	0.292835i	$0.0945986\pi$
$743$	22.4969	+	35.0058i	0.825331	+	1.28424i	−0.130832	+	0.991404i	$0.541765\pi$
$744$	−7.91314	−	33.2247i	−0.290110	−	1.21808i
$745$	12.3183	+	4.26342i	0.451309	+	0.156200i
$746$	7.37447	+	0.351289i	0.269999	+	0.0128616i
$747$	17.2165	+	0.144114i	0.629920	+	0.00527286i
$748$	3.20501	+	0.460811i	0.117187	+	0.0168489i
$749$	−12.0823	+	48.3141i	−0.441477	+	1.76536i
$750$	−10.2544	−	5.97777i	−0.374440	−	0.218277i
$751$	42.2433	+	4.03374i	1.54148	+	0.147193i	0.830899	−	0.556423i	$-0.187827\pi$
$751$	42.2433	+	4.03374i	1.54148	+	0.147193i	0.710580	+	0.703617i	$0.248433\pi$
$752$	31.4716	+	16.2247i	1.14765	+	0.591655i
$753$	6.09725	−	3.88250i	0.222196	−	0.141486i
$754$	−12.6451	+	4.37650i	−0.460507	+	0.159383i
$755$	−69.5446	+	20.4201i	−2.53099	+	0.743165i
$756$	−3.82694	−	10.1305i	−0.139184	−	0.368444i
$757$	−0.0647682	−	0.450473i	−0.00235404	−	0.0163727i	0.988611	−	0.150496i	$-0.0480872\pi$
$757$	−0.0647682	−	0.450473i	−0.00235404	−	0.0163727i	−0.990965	+	0.134124i	$0.957178\pi$
$758$	−16.6696	−	9.62419i	−0.605466	−	0.349566i
$759$	−11.4469	+	0.956397i	−0.415497	+	0.0347150i
$760$	−6.86552	−	11.8914i	−0.249039	−	0.431348i
$761$	2.54781	+	1.01999i	0.0923580	+	0.0369746i	0.417381	−	0.908731i	$-0.362948\pi$
$761$	2.54781	+	1.01999i	0.0923580	+	0.0369746i	−0.325023	+	0.945706i	$0.605372\pi$
$762$	−0.661780	+	6.63681i	−0.0239737	+	0.240426i
$763$	−4.46062	−	50.4732i	−0.161485	−	1.82725i
$764$	13.9847	+	12.1178i	0.505949	+	0.438407i
$765$	4.49942	−	29.5369i	0.162677	−	1.06791i
$766$	5.20957	−	10.1051i	0.188229	−	0.365114i
$767$	−12.7247	−	9.06124i	−0.459464	−	0.327183i
$768$	−14.0632	−	24.5953i	−0.507462	−	0.887508i
$769$	−14.3895	+	22.3905i	−0.518898	+	0.807420i	−0.997504	−	0.0706092i	$-0.977506\pi$
$769$	−14.3895	+	22.3905i	−0.518898	+	0.807420i	0.478607	+	0.878030i	$0.341142\pi$
$770$	3.73146	+	20.1234i	0.134472	+	0.725196i
$771$	10.0552	−	1.89437i	0.362130	−	0.0682242i
$772$	−1.77952	+	0.917407i	−0.0640464	+	0.0330182i
$773$	4.16966	−	12.0474i	0.149972	−	0.433316i	−0.844843	−	0.535014i	$-0.820306\pi$
$773$	4.16966	−	12.0474i	0.149972	−	0.433316i	0.994815	+	0.101698i	$0.0324276\pi$
$774$	−45.7557	+	1.79589i	−1.64465	+	0.0645519i
$775$	−60.5765	+	2.88561i	−2.17597	+	0.103654i
$776$	14.8199	+	4.35151i	0.532003	+	0.156210i
$777$	20.8237	+	41.5318i	0.747047	+	1.48994i
$778$	−6.19633	+	1.81941i	−0.222149	+	0.0652289i
$779$	2.60876	−	1.85769i	0.0934684	−	0.0665586i
$780$	9.08650	−	14.0096i	0.325349	−	0.501624i
$781$	9.79142	+	16.9592i	0.350364	+	0.606849i
$782$	−15.4490	−	18.1074i	−0.552454	−	0.647518i
$783$	−6.28313	+	9.51201i	−0.224541	+	0.339931i
$784$	8.65182	−	33.5881i	0.308994	−	1.19958i
$785$	27.2482	+	12.4438i	0.972530	+	0.444139i
$786$	1.97453	+	21.6347i	0.0704292	+	0.771686i
$787$	5.68679	−	29.5059i	0.202712	−	1.05177i	−0.727877	−	0.685707i	$-0.759493\pi$
$787$	5.68679	−	29.5059i	0.202712	−	1.05177i	0.930590	−	0.366064i	$-0.119295\pi$
$788$	−10.7290	+	2.60283i	−0.382205	+	0.0927219i
$789$	6.25607	+	15.8185i	0.222722	+	0.563152i
$790$	−10.8347	+	4.94805i	−0.385482	+	0.176044i
$791$	5.54846	+	0.0391333i	0.197280	+	0.00139142i
$792$	−8.36538	+	0.728191i	−0.297251	+	0.0258751i
$793$	−6.75435	−	5.31168i	−0.239854	−	0.188623i
$794$	−32.7979	+	13.1303i	−1.16395	+	0.465976i
$795$	15.9099	+	55.0353i	0.564267	+	1.95190i
$796$	2.09835	+	10.8873i	0.0743741	+	0.385890i
$797$	−7.81243	−	17.1068i	−0.276731	−	0.605955i	0.719326	−	0.694672i	$-0.244451\pi$
$797$	−7.81243	−	17.1068i	−0.276731	−	0.605955i	−0.996057	+	0.0887169i	$0.971723\pi$
$798$	−14.5823	−	5.23121i	−0.516208	−	0.185183i
$799$	20.3813	+	5.98448i	0.721038	+	0.211716i
$800$	−24.8532	+	8.60178i	−0.878694	+	0.304119i
$801$	−44.6537	−	4.64140i	−1.57776	−	0.163996i
$802$	49.4337	−	4.72035i	1.74557	−	0.166681i
$803$	1.43166	+	0.573151i	0.0505222	+	0.0202261i
$804$	−0.860488	−	2.52029i	−0.0303471	−	0.0888839i
$805$	21.7951	−	36.4995i	0.768175	−	1.28644i
$806$		−	59.4190i		−	2.09295i
$807$	0.492006	−	9.49241i	0.0173194	−	0.334149i
$808$	−0.737795	−	7.72654i	−0.0259555	−	0.271819i
$809$	−31.7198	+	33.2668i	−1.11521	+	1.16960i	−0.131222	+	0.991353i	$0.541890\pi$
$809$	−31.7198	+	33.2668i	−1.11521	+	1.16960i	−0.983986	+	0.178244i	$0.942958\pi$
$810$	−3.94600	−	50.1907i	−0.138648	−	1.76352i
$811$	−9.73060	+	33.1394i	−0.341688	+	1.16368i	0.592103	+	0.805862i	$0.298298\pi$
$811$	−9.73060	+	33.1394i	−0.341688	+	1.16368i	−0.933791	+	0.357819i	$0.883520\pi$
$812$	4.25665	−	1.66937i	0.149379	−	0.0585834i
$813$	15.0474	+	15.9140i	0.527734	+	0.558130i
$814$	−22.9851	+	4.43002i	−0.805628	+	0.155272i
$815$	−3.68551	+	77.3683i	−0.129098	+	2.71009i
$816$	−16.6254	−	19.3497i	−0.582004	−	0.677376i
$817$	−11.4423	+	14.5501i	−0.400316	+	0.509043i
$818$	−12.3893	−	7.96215i	−0.433183	−	0.278390i
$819$	3.68326	+	28.7598i	0.128704	+	1.00495i
$820$	−1.73407	−	3.79709i	−0.0605564	−	0.132600i
$821$	−50.0622	+	2.38476i	−1.74718	+	0.0832285i	−0.896662	−	0.442715i	$-0.854015\pi$
$821$	−50.0622	+	2.38476i	−1.74718	+	0.0832285i	−0.850520	+	0.525943i	$0.823712\pi$
$822$	3.36269	−	2.14123i	0.117287	−	0.0746841i
$823$	−43.7066	−	8.42375i	−1.52352	−	0.293633i	−0.642339	−	0.766421i	$-0.722036\pi$
$823$	−43.7066	−	8.42375i	−1.52352	−	0.293633i	−0.881176	+	0.472788i	$0.843248\pi$
$824$	0.371600	−	1.53176i	0.0129453	−	0.0533613i
$825$	−1.47940	+	14.8365i	−0.0515059	+	0.516539i
$826$	15.8192	+	10.3248i	0.550420	+	0.359244i
$827$		−	50.0539i		−	1.74055i	−0.492570	−	0.870273i	$-0.663942\pi$
$827$		−	50.0539i		−	1.74055i	0.492570	−	0.870273i	$-0.336058\pi$
$828$	−9.12523	−	6.72103i	−0.317124	−	0.233572i
$829$	22.9590	−	13.2554i	0.797398	−	0.460378i	−0.0451624	−	0.998980i	$-0.514381\pi$
$829$	22.9590	−	13.2554i	0.797398	−	0.460378i	0.842561	+	0.538602i	$0.181047\pi$
$830$	−19.8453	−	25.2354i	−0.688841	−	0.875933i
$831$	18.9711	−	26.4065i	0.658099	−	0.916032i
$832$	2.93924	+	10.0101i	0.101900	+	0.347039i
$833$	1.28315	−	20.7683i	0.0444585	−	0.719579i
$834$	0.249589	+	5.74534i	0.00864255	+	0.198945i
$835$	0.361293	+	7.58448i	0.0125031	+	0.262472i
$836$	1.27936	−	1.79661i	0.0442477	−	0.0621371i
$837$	−30.7900	−	40.1809i	−1.06426	−	1.38885i
$838$	−17.8167	−	34.5597i	−0.615469	−	1.19384i
$839$	−2.17635	+	15.1368i	−0.0751358	+	0.522581i	0.917143	+	0.398557i	$0.130489\pi$
$839$	−2.17635	+	15.1368i	−0.0751358	+	0.522581i	−0.992279	+	0.124024i	$0.960420\pi$
$840$	15.8398	−	26.7368i	0.546523	−	0.922507i
$841$	20.3472	+	13.0764i	0.701629	+	0.450910i
$842$	−9.36579	−	48.5943i	−0.322767	−	1.67467i
$843$	−2.16439	+	7.25872i	−0.0745456	+	0.250004i
$844$	−11.7889	−	6.07759i	−0.405790	−	0.209199i
$845$	−0.834999	+	0.796170i	−0.0287248	+	0.0273891i
$846$	35.7375	+	2.00233i	1.22868	+	0.0688416i
$847$	−19.6834	+	13.8083i	−0.676331	+	0.474460i
$848$	44.4957	+	20.3205i	1.52799	+	0.697810i
$849$	−37.1250	−	1.92424i	−1.27413	−	0.0660398i
$850$	−26.7564	+	15.4478i	−0.917738	+	0.529856i
$851$	41.9204	+	24.6327i	1.43701	+	0.844397i
$852$	−3.73590	+	18.9564i	−0.127990	+	0.649436i
$853$	18.1168	−	2.60480i	0.620307	−	0.0891867i	0.175006	−	0.984567i	$-0.444006\pi$
$853$	18.1168	−	2.60480i	0.620307	−	0.0891867i	0.445302	+	0.895381i	$0.353096\pi$
$854$	8.42151	+	6.08690i	0.288178	+	0.208289i
$855$	−16.4784	−	11.9434i	−0.563550	−	0.408454i
$856$	12.4613	+	36.0046i	0.425919	+	1.23061i
$857$	2.03888	+	8.40438i	0.0696468	+	0.287088i	0.995975	−	0.0896289i	$-0.0285681\pi$
$857$	2.03888	+	8.40438i	0.0696468	+	0.287088i	−0.926328	+	0.376717i	$0.877053\pi$
$858$	−14.4511	−	2.13952i	−0.493351	−	0.0730419i
$859$	3.21419	−	33.6606i	0.109667	−	1.14848i	−0.758315	−	0.651888i	$-0.773977\pi$
$859$	3.21419	−	33.6606i	0.109667	−	1.14848i	0.867982	−	0.496596i	$-0.165417\pi$
$860$	15.7996	+	18.2337i	0.538761	+	0.621764i
$861$	6.55897	+	3.08493i	0.223529	+	0.105134i
$862$	5.48784	−	38.1687i	0.186916	−	1.30003i
$863$	−24.2838	+	30.8793i	−0.826629	+	1.05114i	0.171197	+	0.985237i	$0.445237\pi$
$863$	−24.2838	+	30.8793i	−0.826629	+	1.05114i	−0.997826	+	0.0659073i	$0.979006\pi$
$864$	−17.7209	−	12.9574i	−0.602877	−	0.440818i
$865$	10.1759	−	29.4013i	0.345990	−	0.999673i
$866$	7.29490	+	0.696578i	0.247891	+	0.0236707i
$867$	11.0784	+	8.78740i	0.376241	+	0.298436i
$868$	0.823019	+	20.2868i	0.0279351	+	0.688578i
$869$	2.22529	+	1.92822i	0.0754877	+	0.0654104i
$870$	21.1687	−	1.93200i	0.717686	−	0.0655008i
$871$	0.677788	+	7.09811i	0.0229660	+	0.240510i
$872$	−23.9624	−	30.4707i	−0.811470	−	1.03187i
$873$	22.6861	−	3.06817i	0.767807	−	0.103842i
$874$	−15.7850	+	3.70164i	−0.533934	+	0.125210i
$875$	−8.15653	−	7.16901i	−0.275741	−	0.242357i
$876$	0.691530	+	1.35528i	0.0233646	+	0.0457906i
$877$	−19.8942	−	27.9376i	−0.671781	−	0.943384i	0.328218	−	0.944602i	$-0.393552\pi$
$877$	−19.8942	−	27.9376i	−0.671781	−	0.943384i	−0.999999	+	0.00121756i	$0.999612\pi$
$878$	1.41030	+	1.34472i	0.0475952	+	0.0453820i
$879$	0.726127	+	5.20488i	0.0244917	+	0.175556i
$880$	15.8418	+	16.6144i	0.534028	+	0.560072i
$881$	−1.59789	+	1.02690i	−0.0538344	+	0.0345973i	−0.567281	−	0.823524i	$-0.692005\pi$
$881$	−1.59789	+	1.02690i	−0.0538344	+	0.0345973i	0.513447	+	0.858121i	$0.328368\pi$
$882$	−5.86018	−	34.5694i	−0.197323	−	1.16401i
$883$	−12.8055	−	14.7784i	−0.430940	−	0.497331i	0.498199	−	0.867063i	$-0.333995\pi$
$883$	−12.8055	−	14.7784i	−0.430940	−	0.497331i	−0.929139	+	0.369732i	$0.879450\pi$
$884$	−3.91947	−	7.60272i	−0.131826	−	0.255707i
$885$	16.1721	+	18.8222i	0.543618	+	0.632700i
$886$	−11.2523	+	4.50475i	−0.378029	+	0.151340i
$887$	46.1810	−	23.8079i	1.55060	−	0.799392i	0.551217	−	0.834362i	$-0.314164\pi$
$887$	46.1810	−	23.8079i	1.55060	−	0.799392i	0.999388	+	0.0349698i	$0.0111335\pi$
$888$	30.7068	+	17.9003i	1.03045	+	0.600696i
$889$	−1.76038	+	5.84255i	−0.0590413	+	0.195953i
$890$	45.2581	+	70.4230i	1.51706	+	2.36058i
$891$	−10.8809	+	6.04151i	−0.364524	+	0.202398i
$892$	3.89570	−	20.2128i	0.130438	−	0.676774i
$893$	9.98477	−	10.4717i	0.334128	−	0.350423i
$894$	6.56481	−	9.13780i	0.219560	−	0.305614i
$895$	39.6800	−	5.70512i	1.32636	−	0.190701i
$896$	−11.2047	−	33.1280i	−0.374324	−	1.10673i
$897$	19.5982	+	23.1662i	0.654363	+	0.773497i
$898$	16.4990	−	28.5772i	0.550580	−	0.953633i
$899$	16.8004	−	13.2120i	0.560326	−	0.440645i
$900$	−10.7312	+	10.0621i	−0.357708	+	0.335402i
$901$	28.5185	+	6.91852i	0.950089	+	0.230489i
$902$	−2.39150	+	2.75993i	−0.0796281	+	0.0918957i
$903$	−41.3972	−	6.42765i	−1.37761	−	0.213899i
$904$	3.57100	−	2.29494i	0.118770	−	0.0763287i
$905$	1.48371	−	15.5382i	0.0493203	−	0.516506i
$906$	−0.261837	+	62.5617i	−0.00869897	+	2.07847i
$907$	−1.70129	+	35.7145i	−0.0564904	+	1.18588i	0.775595	+	0.631231i	$0.217450\pi$
$907$	−1.70129	+	35.7145i	−0.0564904	+	1.18588i	−0.832085	+	0.554648i	$0.812853\pi$
$908$	2.26724	+	1.78298i	0.0752409	+	0.0591701i
$909$	−5.66840	−	10.0105i	−0.188009	−	0.332028i
$910$	37.5842	−	38.8646i	1.24590	−	1.28835i
$911$	−25.1255	+	21.7714i	−0.832446	+	0.721319i	−0.962819	−	0.270146i	$-0.912928\pi$
$911$	−25.1255	+	21.7714i	−0.832446	+	0.721319i	0.130373	+	0.991465i	$0.458382\pi$
$912$	−16.9043	+	4.02610i	−0.559758	+	0.133318i
$913$	−3.63659	+	7.05400i	−0.120354	+	0.233453i
$914$	4.25216	−	1.03156i	0.140649	−	0.0341211i
$915$	8.39299	+	10.7650i	0.277464	+	0.355879i
$916$	0.944485	+	3.21662i	0.0312067	+	0.106280i
$917$	−2.02878	+	19.7716i	−0.0669962	+	0.652917i
$918$	−23.3222	−	11.0069i	−0.769748	−	0.363281i
$919$	−0.00942212	+	0.0163196i	−0.000310807	+	0.000538334i	−0.866181	−	0.499731i	$-0.833432\pi$
$919$	−0.00942212	+	0.0163196i	−0.000310807	+	0.000538334i	0.865870	+	0.500269i	$0.166766\pi$
$920$	−1.29869	−	32.4968i	−0.0428166	−	1.07139i
$921$	−23.3155	−	20.3745i	−0.768272	−	0.671361i
$922$	−5.69219	+	14.2184i	−0.187462	+	0.468258i
$923$	21.4898	−	47.0561i	0.707345	−	1.54887i
$924$	4.96350	+	0.530308i	0.163287	+	0.0174459i
$925$	41.3295	−	47.6968i	1.35891	−	1.56826i
$926$	5.28083	+	5.53837i	0.173539	+	0.182002i
$927$	−0.422902	−	2.29755i	−0.0138899	−	0.0754614i
$928$	5.37643	−	7.55014i	0.176490	−	0.247845i
$929$	−17.8934	+	3.44867i	−0.587064	+	0.113147i	−0.474129	−	0.880455i	$-0.657237\pi$
$929$	−17.8934	+	3.44867i	−0.587064	+	0.113147i	−0.112934	+	0.993602i	$0.536025\pi$
$930$	−22.6373	+	91.6365i	−0.742306	+	3.00488i
$931$	−12.1735	−	7.25920i	−0.398969	−	0.237911i
$932$	−16.5488	−	2.37936i	−0.542074	−	0.0779384i
$933$	16.9195	+	16.2685i	0.553921	+	0.532606i
$934$	31.2438	+	10.8136i	1.02233	+	0.353831i
$935$	11.2184	+	7.98858i	0.366880	+	0.261254i
$936$	14.3852	+	16.8850i	0.470196	+	0.551903i
$937$	−9.71959	+	33.1019i	−0.317525	+	1.08139i	0.633875	+	0.773435i	$0.281463\pi$
$937$	−9.71959	+	33.1019i	−0.317525	+	1.08139i	−0.951400	+	0.307956i	$0.900355\pi$
$938$	−1.16690	−	8.54328i	−0.0381006	−	0.278948i
$939$	−47.7767	+	33.7212i	−1.55913	+	1.10045i
$940$	−10.9394	−	15.3622i	−0.356803	−	0.501060i
$941$	5.34527	−	4.20357i	0.174251	−	0.137032i	−0.527225	−	0.849726i	$-0.676767\pi$
$941$	5.34527	−	4.20357i	0.174251	−	0.137032i	0.701476	+	0.712693i	$0.252525\pi$
$942$	17.0138	−	19.4697i	0.554338	−	0.634356i
$943$	7.51637	−	1.02201i	0.244767	−	0.0332812i
$944$	21.1888			0.689637
$945$	5.27648	−	45.7569i	0.171644	−	1.48847i
$946$	8.76828	−	19.1999i	0.285082	−	0.624241i
$947$	32.0405	+	7.77295i	1.04118	+	0.252587i	0.719667	−	0.694319i	$-0.244294\pi$
$947$	32.0405	+	7.77295i	1.04118	+	0.252587i	0.321510	+	0.946906i	$0.395809\pi$
$948$	0.401402	+	2.87725i	0.0130369	+	0.0934486i
$949$	−0.960424	−	3.95892i	−0.0311767	−	0.128512i
$950$	1.00136	+	21.0211i	0.0324883	+	0.682014i
$951$	−1.82377	−	1.92882i	−0.0591399	−	0.0625462i
$952$	−7.86193	−	13.8418i	−0.254807	−	0.448616i
$953$	−19.6576	+	30.5879i	−0.636773	+	0.990838i	0.361516	+	0.932366i	$0.382259\pi$
$953$	−19.6576	+	30.5879i	−0.636773	+	0.990838i	−0.998289	+	0.0584723i	$0.981377\pi$
$954$	49.4476	+	0.413910i	1.60092	+	0.0134008i
$955$	29.2516	+	73.0670i	0.946560	+	2.36439i
$956$	−10.0223	−	0.477422i	−0.324145	−	0.0154409i
$957$	−2.60830	−	4.56170i	−0.0843144	−	0.147459i
$958$	−17.1694	+	7.84102i	−0.554719	+	0.253332i
$959$	3.39543	−	1.33162i	0.109644	−	0.0430002i
$960$	−0.719291	−	16.5575i	−0.0232150	−	0.534391i
$961$	20.9024	+	60.3936i	0.674272	+	1.94818i
$962$	44.7528	+	42.6717i	1.44289	+	1.37579i
$963$	38.6253	+	41.1941i	1.24468	+	1.32746i
$964$	−7.61199	+	19.0138i	−0.245166	+	0.612394i
$965$	−8.51545			−0.274122
$966$	−24.8156	−	27.0306i	−0.798429	−	0.869694i
$967$	50.0844			1.61061			0.805303	−	0.592863i	$-0.202002\pi$
$967$	50.0844			1.61061			0.805303	+	0.592863i	$0.202002\pi$
$968$	−6.83649	+	17.0767i	−0.219733	+	0.548867i
$969$	−9.50084	+	4.29092i	−0.305211	+	0.137844i
$970$	−30.8938	−	29.4572i	−0.991940	−	0.945813i
$971$	−9.22839	−	26.6637i	−0.296153	−	0.855679i	−0.990680	−	0.136212i	$-0.956507\pi$
$971$	−9.22839	−	26.6637i	−0.296153	−	0.855679i	0.694527	−	0.719467i	$-0.255614\pi$
$972$	−12.0061	−	2.57565i	−0.385095	−	0.0826140i
$973$	−0.785466	+	5.20230i	−0.0251809	+	0.166778i
$974$	19.7305	−	9.01060i	0.632205	−	0.288718i
$975$	34.1923	−	19.5506i	1.09503	−	0.626119i
$976$	11.6420	+	0.554578i	0.372652	+	0.0177516i
$977$	11.4403	+	28.5765i	0.366008	+	0.914243i	0.991030	+	0.133636i	$0.0426654\pi$
$977$	11.4403	+	28.5765i	0.366008	+	0.914243i	−0.625023	+	0.780606i	$0.714910\pi$
$978$	63.0877	+	22.1310i	2.01732	+	0.707670i
$979$	11.1880	−	17.4089i	0.357570	−	0.556390i
$980$	−12.2936	+	13.7897i	−0.392705	+	0.440495i
$981$	−50.8453	−	26.7536i	−1.62336	−	0.854177i
$982$	−2.75755	−	57.8880i	−0.0879968	−	1.84728i
$983$	9.88821	+	40.7597i	0.315385	+	1.30003i	0.880116	+	0.474759i	$0.157465\pi$
$983$	9.88821	+	40.7597i	0.315385	+	1.30003i	−0.564731	+	0.825275i	$0.691020\pi$
$984$	5.49195	−	0.766176i	0.175077	−	0.0244248i
$985$	−45.6337	−	11.0706i	−1.45401	−	0.352739i
$986$	4.52327	−	9.90458i	0.144050	−	0.315426i
$987$	31.7350	+	8.07750i	1.01014	+	0.257110i
$988$	−5.82636			−0.185361
$989$	−40.0191	+	17.9070i	−1.27253	+	0.569410i
$990$	21.4714	+	8.80510i	0.682407	+	0.279845i
$991$	−12.2115	+	9.60322i	−0.387911	+	0.305056i	−0.793001	−	0.609220i	$-0.791483\pi$
$991$	−12.2115	+	9.60322i	−0.387911	+	0.305056i	0.405090	+	0.914277i	$0.367240\pi$
$992$	23.8743	+	33.5267i	0.758009	+	1.06447i
$993$	−0.371396	−	0.526200i	−0.0117859	−	0.0166984i
$994$	−23.6590	+	57.9103i	−0.750419	+	1.83680i
$995$	−13.2863	+	45.2488i	−0.421203	+	1.43448i
$996$	−7.28135	+	2.87971i	−0.230719	+	0.0912472i
$997$	27.9231	+	19.8839i	0.884332	+	0.629730i	0.929327	−	0.369257i	$-0.120388\pi$
$997$	27.9231	+	19.8839i	0.884332	+	0.629730i	−0.0449952	+	0.998987i	$0.514327\pi$
$998$	62.8736	+	21.7608i	1.99023	+	0.688825i
$999$	52.3750	+	5.66564i	1.65707	+	0.179253i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.bb.a.26.16	✓	1200
3.2	odd	2	inner	483.2.bb.a.26.45	yes	1200
7.3	odd	6	inner	483.2.bb.a.164.16	yes	1200
21.17	even	6	inner	483.2.bb.a.164.45	yes	1200
23.8	even	11	inner	483.2.bb.a.215.45	yes	1200
69.8	odd	22	inner	483.2.bb.a.215.16	yes	1200
161.31	odd	66	inner	483.2.bb.a.353.45	yes	1200
483.353	even	66	inner	483.2.bb.a.353.16	yes	1200

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.bb.a.26.16	✓	1200	1.1	even	1	trivial
483.2.bb.a.26.45	yes	1200	3.2	odd	2	inner
483.2.bb.a.164.16	yes	1200	7.3	odd	6	inner
483.2.bb.a.164.45	yes	1200	21.17	even	6	inner
483.2.bb.a.215.16	yes	1200	69.8	odd	22	inner
483.2.bb.a.215.45	yes	1200	23.8	even	11	inner
483.2.bb.a.353.16	yes	1200	483.353	even	66	inner
483.2.bb.a.353.45	yes	1200	161.31	odd	66	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.620544 + 1.55004i) q^{2} +(0.712920 + 1.57853i) q^{3} +(-0.570095 - 0.543585i) q^{4} +(-1.09580 - 3.16611i) q^{5} +(-2.88918 + 0.125512i) q^{6} +(-2.61610 - 0.394990i) q^{7} +(-1.84117 + 0.840836i) q^{8} +(-1.98349 + 2.25072i) q^{9} +O(q^{10})\)	\(q+(-0.620544 + 1.55004i) q^{2} +(0.712920 + 1.57853i) q^{3} +(-0.570095 - 0.543585i) q^{4} +(-1.09580 - 3.16611i) q^{5} +(-2.88918 + 0.125512i) q^{6} +(-2.61610 - 0.394990i) q^{7} +(-1.84117 + 0.840836i) q^{8} +(-1.98349 + 2.25072i) q^{9} +(5.58761 + 0.266171i) q^{10} +(-0.513953 - 1.28379i) q^{11} +(0.451631 - 1.28744i) q^{12} +(-1.97496 + 3.07309i) q^{13} +(2.23566 - 3.80996i) q^{14} +(4.21657 - 3.98694i) q^{15} +(-0.235765 - 4.94932i) q^{16} +(-0.700807 - 2.88876i) q^{17} +(-2.25788 - 4.47117i) q^{18} +(-1.96771 - 0.477362i) q^{19} +(-1.09634 + 2.40065i) q^{20} +(-1.24157 - 4.41118i) q^{21} +2.30886 q^{22} +(-3.60029 - 3.16826i) q^{23} +(-2.63989 - 2.30689i) q^{24} +(-4.89323 + 3.84808i) q^{25} +(-3.53788 - 4.96826i) q^{26} +(-4.96690 - 1.52641i) q^{27} +(1.27672 + 1.64725i) q^{28} +(0.618092 - 2.10503i) q^{29} +(3.56336 + 9.00995i) q^{30} +(7.93568 + 5.65097i) q^{31} +(3.99245 + 1.38180i) q^{32} +(1.66009 - 1.72653i) q^{33} +(4.91260 + 0.706325i) q^{34} +(1.61615 + 8.71570i) q^{35} +(2.35424 - 0.204932i) q^{36} +(-9.95516 + 1.91870i) q^{37} +(1.96099 - 2.75382i) q^{38} +(-6.25895 - 0.926653i) q^{39} +(4.67975 + 4.90798i) q^{40} +(-1.03579 + 1.19536i) q^{41} +(7.60797 + 0.812849i) q^{42} +(3.79766 - 8.31572i) q^{43} +(-0.404848 + 1.01126i) q^{44} +(9.29957 + 3.81361i) q^{45} +(7.14509 - 3.61457i) q^{46} +(-3.57297 + 6.18857i) q^{47} +(7.64455 - 3.90063i) q^{48} +(6.68797 + 2.06667i) q^{49} +(-2.92823 - 9.97262i) q^{50} +(4.06037 - 3.16570i) q^{51} +(2.79640 - 0.678399i) q^{52} +(-4.52371 + 8.77478i) q^{53} +(5.44818 - 6.75171i) q^{54} +(-3.50144 + 3.03401i) q^{55} +(5.14882 - 1.47247i) q^{56} +(-0.649293 - 3.44641i) q^{57} +(2.87934 + 2.26433i) q^{58} +(-0.203475 + 4.27146i) q^{59} +(-4.57109 - 0.0191312i) q^{60} +(-0.223595 + 2.34159i) q^{61} +(-13.6837 + 8.79398i) q^{62} +(6.07803 - 5.10466i) q^{63} +(1.87025 - 2.15838i) q^{64} +(11.8939 + 2.88544i) q^{65} +(1.64603 + 3.64460i) q^{66} +(1.53432 - 1.20661i) q^{67} +(-1.17076 + 2.02782i) q^{68} +(2.43447 - 7.94187i) q^{69} +(-14.5126 - 2.90338i) q^{70} +(-14.0171 + 2.01535i) q^{71} +(1.75946 - 5.81177i) q^{72} +(-0.769564 + 0.807095i) q^{73} +(3.20355 - 16.6216i) q^{74} +(-9.56277 - 4.98072i) q^{75} +(0.862298 + 1.34176i) q^{76} +(0.837466 + 3.56153i) q^{77} +(5.32031 - 9.12662i) q^{78} +(-1.89258 + 0.975695i) q^{79} +(-15.4118 + 6.16994i) q^{80} +(-1.13153 - 8.92859i) q^{81} +(-1.21011 - 2.34729i) q^{82} +(-3.75827 - 4.33728i) q^{83} +(-1.69004 + 3.18969i) q^{84} +(-8.37821 + 5.38435i) q^{85} +(10.5331 + 11.0468i) q^{86} +(3.76349 - 0.525042i) q^{87} +(2.02573 + 1.93153i) q^{88} +(8.68040 + 12.1899i) q^{89} +(-11.6821 + 12.0482i) q^{90} +(6.38053 - 7.25943i) q^{91} +(0.330290 + 3.76328i) q^{92} +(-3.26271 + 16.5554i) q^{93} +(-7.37537 - 9.37854i) q^{94} +(0.644843 + 6.75310i) q^{95} +(0.665087 + 7.28729i) q^{96} +(-5.76702 - 4.99716i) q^{97} +(-7.35361 + 9.08419i) q^{98} +(3.90888 + 1.38962i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9}+O(q^{10}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9	\( 1200 q - 27 q^{3} - 74 q^{4} - 36 q^{7} - 13 q^{9} - 54 q^{10} - 15 q^{12} - 64 q^{15} + 38 q^{16} + 43 q^{18} - 54 q^{19} - 70 q^{21} - 160 q^{22} - 66 q^{24} + 34 q^{25} - 76 q^{28} - 23 q^{30} - 54 q^{31} - 3 q^{33} - 28 q^{36} + 26 q^{37} + 5 q^{39} - 30 q^{40} - 68 q^{42} - 176 q^{43} - 96 q^{45} - 22 q^{46} - 128 q^{49} - 23 q^{51} - 102 q^{52} + 21 q^{54} - 36 q^{57} + 58 q^{58} - 43 q^{60} - 126 q^{61} + 41 q^{63} + 40 q^{64} - 132 q^{66} - 10 q^{67} + 20 q^{70} + 59 q^{72} - 30 q^{73} - 81 q^{75} + 164 q^{78} - 14 q^{79} - 97 q^{81} - 66 q^{82} + 24 q^{84} - 56 q^{85} - 399 q^{87} - 74 q^{88} - 156 q^{91} + 8 q^{93} - 126 q^{94} - 117 q^{96} + 196 q^{99}+O(q^{100}) \) 1200 * q - 27 * q^3 - 74 * q^4 - 36 * q^7 - 13 * q^9 - 54 * q^10 - 15 * q^12 - 64 * q^15 + 38 * q^16 + 43 * q^18 - 54 * q^19 - 70 * q^21 - 160 * q^22 - 66 * q^24 + 34 * q^25 - 76 * q^28 - 23 * q^30 - 54 * q^31 - 3 * q^33 - 28 * q^36 + 26 * q^37 + 5 * q^39 - 30 * q^40 - 68 * q^42 - 176 * q^43 - 96 * q^45 - 22 * q^46 - 128 * q^49 - 23 * q^51 - 102 * q^52 + 21 * q^54 - 36 * q^57 + 58 * q^58 - 43 * q^60 - 126 * q^61 + 41 * q^63 + 40 * q^64 - 132 * q^66 - 10 * q^67 + 20 * q^70 + 59 * q^72 - 30 * q^73 - 81 * q^75 + 164 * q^78 - 14 * q^79 - 97 * q^81 - 66 * q^82 + 24 * q^84 - 56 * q^85 - 399 * q^87 - 74 * q^88 - 156 * q^91 + 8 * q^93 - 126 * q^94 - 117 * q^96 + 196 * q^99

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