LMFDB - Embedded newform 572.2.bn.a.459.50

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [572,2,Mod(95,572)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(572, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 21, 5]))

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

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

chi := DirichletCharacter("572.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 572 = 2^{2} \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	572.bn (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.56744299562$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$80$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			459.50
Character	$\chi$	$=$	572.459
Dual form			572.2.bn.a.491.50

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.482871 - 1.32922i) q^{2} +(-0.283140 + 1.33207i) q^{3} +(-1.53367 - 1.28369i) q^{4} +(-0.329599 + 0.453654i) q^{5} +(1.63390 + 1.01957i) q^{6} +(0.174143 + 0.819278i) q^{7} +(-2.44687 + 1.41874i) q^{8} +(1.04640 + 0.465888i) q^{9} +O(q^{10})$	\(q+(0.482871 - 1.32922i) q^{2} +(-0.283140 + 1.33207i) q^{3} +(-1.53367 - 1.28369i) q^{4} +(-0.329599 + 0.453654i) q^{5} +(1.63390 + 1.01957i) q^{6} +(0.174143 + 0.819278i) q^{7} +(-2.44687 + 1.41874i) q^{8} +(1.04640 + 0.465888i) q^{9} +(0.443854 + 0.657168i) q^{10} +(-2.09334 - 2.57254i) q^{11} +(2.14420 - 1.67949i) q^{12} +(3.07247 + 1.88677i) q^{13} +(1.17309 + 0.164131i) q^{14} +(-0.510976 - 0.567496i) q^{15} +(0.704295 + 3.93751i) q^{16} +(5.40318 + 0.567897i) q^{17} +(1.12455 - 1.16594i) q^{18} +(1.49174 + 1.34317i) q^{19} +(1.08785 - 0.272654i) q^{20} -1.14064 q^{21} +(-4.43029 + 1.54031i) q^{22} +(7.01090 + 4.04774i) q^{23} +(-1.19705 - 3.66110i) q^{24} +(1.44792 + 4.45623i) q^{25} +(3.99155 - 3.17293i) q^{26} +(-3.31826 + 4.56719i) q^{27} +(0.784619 - 1.48005i) q^{28} +(1.35149 - 1.21689i) q^{29} +(-1.00106 + 0.405174i) q^{30} +(-4.78001 + 3.47288i) q^{31} +(5.57391 + 0.965143i) q^{32} +(4.01950 - 2.06008i) q^{33} +(3.36390 - 6.90782i) q^{34} +(-0.429067 - 0.191033i) q^{35} +(-1.00678 - 2.05777i) q^{36} +(0.880308 - 0.792633i) q^{37} +(2.50569 - 1.33428i) q^{38} +(-3.38325 + 3.55852i) q^{39} +(0.162871 - 1.57765i) q^{40} +(-7.54001 - 1.60268i) q^{41} +(-0.550782 + 1.51617i) q^{42} +(-3.10539 - 5.37869i) q^{43} +(-0.0918385 + 6.63261i) q^{44} +(-0.556245 + 0.321148i) q^{45} +(8.76571 - 7.36451i) q^{46} +(-0.292632 - 0.900628i) q^{47} +(-5.44444 - 0.176697i) q^{48} +(5.75393 - 2.56181i) q^{49} +(6.62249 + 0.227179i) q^{50} +(-2.28633 + 7.03661i) q^{51} +(-2.29013 - 6.83778i) q^{52} +(9.70361 - 7.05009i) q^{53} +(4.46852 + 6.61607i) q^{54} +(1.85700 - 0.101746i) q^{55} +(-1.58845 - 1.75761i) q^{56} +(-2.21156 + 1.60680i) q^{57} +(-0.964923 - 2.38404i) q^{58} +(-0.0189921 + 0.00403689i) q^{59} +(0.0551814 + 1.52629i) q^{60} +(-12.1375 - 1.27570i) q^{61} +(2.30811 + 8.03066i) q^{62} +(-0.199468 + 0.938425i) q^{63} +(3.97437 - 6.94294i) q^{64} +(-1.86863 + 0.771961i) q^{65} +(-0.797409 - 6.33756i) q^{66} +(1.89884 - 3.28888i) q^{67} +(-7.55770 - 7.80697i) q^{68} +(-7.37693 + 8.19291i) q^{69} +(-0.461109 + 0.478081i) q^{70} +(-1.02249 + 9.72834i) q^{71} +(-3.22138 + 0.344600i) q^{72} +(-1.23344 + 3.79615i) q^{73} +(-0.628511 - 1.55287i) q^{74} +(-6.34597 + 0.666988i) q^{75} +(-0.563631 - 3.97491i) q^{76} +(1.74308 - 2.16302i) q^{77} +(3.09639 + 6.21540i) q^{78} +(3.38131 - 2.45667i) q^{79} +(-2.01840 - 0.978293i) q^{80} +(-2.84495 - 3.15964i) q^{81} +(-5.77117 + 9.24848i) q^{82} +(1.83934 - 2.53163i) q^{83} +(1.74937 + 1.46423i) q^{84} +(-2.03851 + 2.26400i) q^{85} +(-8.64899 + 1.53054i) q^{86} +(1.23832 + 2.14483i) q^{87} +(8.77188 + 3.32477i) q^{88} +(-6.41766 - 3.70524i) q^{89} +(0.158283 + 0.894447i) q^{90} +(-1.01074 + 2.84578i) q^{91} +(-5.55637 - 15.2077i) q^{92} +(-3.27270 - 7.35061i) q^{93} +(-1.33844 - 0.0459140i) q^{94} +(-1.10101 + 0.234027i) q^{95} +(-2.86383 + 7.15156i) q^{96} +(-7.43998 + 16.7105i) q^{97} +(-0.626819 - 8.88528i) q^{98} +(-0.991958 - 3.66716i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9}+O(q^{10}) $ 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9	$ 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9} - 4 q^{12} - 20 q^{13} - 12 q^{14} - 19 q^{16} - 10 q^{17} - 45 q^{20} - 15 q^{22} - 15 q^{24} + 104 q^{25} - 20 q^{26} - 15 q^{28} - 10 q^{29} + 45 q^{30} - 24 q^{33} + 4 q^{36} - 18 q^{37} - 14 q^{38} - 20 q^{40} - 30 q^{41} - 13 q^{42} - 108 q^{45} - 15 q^{46} + 35 q^{48} - 74 q^{49} - 90 q^{50} + 15 q^{52} - 8 q^{53} + 50 q^{56} + 27 q^{58} - 10 q^{61} - 5 q^{62} - 84 q^{64} - 146 q^{66} - 70 q^{68} - 26 q^{69} - 15 q^{72} - 55 q^{74} + 44 q^{77} + 24 q^{78} - 39 q^{80} + 30 q^{81} - 29 q^{82} + 30 q^{84} - 30 q^{85} - 75 q^{88} - 24 q^{89} + 30 q^{90} + 14 q^{92} + 66 q^{93} - 5 q^{94} - 30 q^{97}+O(q^{100}) $ 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9 - 4 * q^12 - 20 * q^13 - 12 * q^14 - 19 * q^16 - 10 * q^17 - 45 * q^20 - 15 * q^22 - 15 * q^24 + 104 * q^25 - 20 * q^26 - 15 * q^28 - 10 * q^29 + 45 * q^30 - 24 * q^33 + 4 * q^36 - 18 * q^37 - 14 * q^38 - 20 * q^40 - 30 * q^41 - 13 * q^42 - 108 * q^45 - 15 * q^46 + 35 * q^48 - 74 * q^49 - 90 * q^50 + 15 * q^52 - 8 * q^53 + 50 * q^56 + 27 * q^58 - 10 * q^61 - 5 * q^62 - 84 * q^64 - 146 * q^66 - 70 * q^68 - 26 * q^69 - 15 * q^72 - 55 * q^74 + 44 * q^77 + 24 * q^78 - 39 * q^80 + 30 * q^81 - 29 * q^82 + 30 * q^84 - 30 * q^85 - 75 * q^88 - 24 * q^89 + 30 * q^90 + 14 * q^92 + 66 * q^93 - 5 * q^94 - 30 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/572\mathbb{Z}\right)^\times$.

$n$	$287$	$353$	$365$
$\chi(n)$	$-1$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{10}\right)$

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 $

$2$	0.482871	−	1.32922i	0.341441	−	0.939903i
$2$	0.482871	−	1.32922i	0.341441	−	0.939903i
$3$	−0.283140	+	1.33207i	−0.163471	+	0.769069i	0.817657	+	0.575706i	$0.195273\pi$
$3$	−0.283140	+	1.33207i	−0.163471	+	0.769069i	−0.981127	+	0.193363i	$0.938060\pi$
$4$	−1.53367	−	1.28369i	−0.766836	−	0.641844i
$5$	−0.329599	+	0.453654i	−0.147401	+	0.202880i	−0.876333	−	0.481706i	$-0.840017\pi$
$5$	−0.329599	+	0.453654i	−0.147401	+	0.202880i	0.728932	+	0.684587i	$0.240017\pi$
$6$	1.63390	+	1.01957i	0.667035	+	0.416239i
$7$	0.174143	+	0.819278i	0.0658199	+	0.309658i	0.998726	−	0.0504615i	$-0.0160692\pi$
$7$	0.174143	+	0.819278i	0.0658199	+	0.309658i	−0.932906	+	0.360120i	$0.882736\pi$
$8$	−2.44687	+	1.41874i	−0.865100	+	0.501599i
$9$	1.04640	+	0.465888i	0.348800	+	0.155296i
$10$	0.443854	+	0.657168i	0.140359	+	0.207815i
$11$	−2.09334	−	2.57254i	−0.631165	−	0.775649i
$11$	−2.09334	−	2.57254i	−0.631165	−	0.775649i
$12$	2.14420	−	1.67949i	0.618977	−	0.484827i
$13$	3.07247	+	1.88677i	0.852150	+	0.523297i
$13$	3.07247	+	1.88677i	0.852150	+	0.523297i
$14$	1.17309	+	0.164131i	0.313522	+	0.0438658i
$15$	−0.510976	−	0.567496i	−0.131933	−	0.146527i
$16$	0.704295	+	3.93751i	0.176074	+	0.984377i
$17$	5.40318	+	0.567897i	1.31046	+	0.137735i	0.733867	−	0.679293i	$-0.237713\pi$
$17$	5.40318	+	0.567897i	1.31046	+	0.137735i	0.576597	+	0.817028i	$0.304380\pi$
$18$	1.12455	−	1.16594i	0.265058	−	0.274814i
$19$	1.49174	+	1.34317i	0.342229	+	0.308144i	0.822265	−	0.569104i	$-0.192710\pi$
$19$	1.49174	+	1.34317i	0.342229	+	0.308144i	−0.480036	+	0.877249i	$0.659377\pi$
$20$	1.08785	−	0.272654i	0.243250	−	0.0609674i
$21$	−1.14064			−0.248908
$22$	−4.43029	+	1.54031i	−0.944540	+	0.328396i
$23$	7.01090	+	4.04774i	1.46187	+	0.844013i	0.999098	−	0.0424630i	$-0.0135205\pi$
$23$	7.01090	+	4.04774i	1.46187	+	0.844013i	0.462775	+	0.886476i	$0.346854\pi$
$24$	−1.19705	−	3.66110i	−0.244346	−	0.747319i
$25$	1.44792	+	4.45623i	0.289584	+	0.891247i
$26$	3.99155	−	3.17293i	0.782808	−	0.622263i
$27$	−3.31826	+	4.56719i	−0.638599	+	0.878956i
$28$	0.784619	−	1.48005i	0.148279	−	0.279703i
$29$	1.35149	−	1.21689i	0.250966	−	0.225971i	−0.534039	−	0.845460i	$-0.679327\pi$
$29$	1.35149	−	1.21689i	0.250966	−	0.225971i	0.785006	+	0.619489i	$0.212660\pi$
$30$	−1.00106	+	0.405174i	−0.182769	+	0.0739742i
$31$	−4.78001	+	3.47288i	−0.858516	+	0.623748i	−0.927481	−	0.373871i	$-0.878030\pi$
$31$	−4.78001	+	3.47288i	−0.858516	+	0.623748i	0.0689651	+	0.997619i	$0.478030\pi$
$32$	5.57391	+	0.965143i	0.985338	+	0.170615i
$33$	4.01950	−	2.06008i	0.699705	−	0.358614i
$34$	3.36390	−	6.90782i	0.576905	−	1.18468i
$35$	−0.429067	−	0.191033i	−0.0725255	−	0.0322904i
$36$	−1.00678	−	2.05777i	−0.167797	−	0.342962i
$37$	0.880308	−	0.792633i	0.144722	−	0.130308i	−0.593590	−	0.804768i	$-0.702290\pi$
$37$	0.880308	−	0.792633i	0.144722	−	0.130308i	0.738312	+	0.674459i	$0.235623\pi$
$38$	2.50569	−	1.33428i	0.406477	−	0.216449i
$39$	−3.38325	+	3.55852i	−0.541753	+	0.569819i
$40$	0.162871	−	1.57765i	0.0257522	−	0.249448i
$41$	−7.54001	−	1.60268i	−1.17755	−	0.250296i	−0.422748	−	0.906247i	$-0.638935\pi$
$41$	−7.54001	−	1.60268i	−1.17755	−	0.250296i	−0.754804	+	0.655951i	$0.772268\pi$
$42$	−0.550782	+	1.51617i	−0.0849876	+	0.233950i
$43$	−3.10539	−	5.37869i	−0.473568	−	0.820243i	0.525975	−	0.850500i	$-0.323701\pi$
$43$	−3.10539	−	5.37869i	−0.473568	−	0.820243i	−0.999542	+	0.0302573i	$0.990367\pi$
$44$	−0.0918385	+	6.63261i	−0.0138452	+	0.999904i
$45$	−0.556245	+	0.321148i	−0.0829201	+	0.0478739i
$46$	8.76571	−	7.36451i	1.29243	−	1.08584i
$47$	−0.292632	−	0.900628i	−0.0426847	−	0.131370i	0.927443	−	0.373964i	$-0.122002\pi$
$47$	−0.292632	−	0.900628i	−0.0426847	−	0.131370i	−0.970128	+	0.242594i	$0.922002\pi$
$48$	−5.44444	−	0.176697i	−0.785837	−	0.0255040i
$49$	5.75393	−	2.56181i	0.821990	−	0.365973i
$50$	6.62249	+	0.227179i	0.936562	+	0.0321280i
$51$	−2.28633	+	7.03661i	−0.320151	+	0.985323i
$52$	−2.29013	−	6.83778i	−0.317584	−	0.948230i
$53$	9.70361	−	7.05009i	1.33289	−	0.968404i	0.333220	−	0.942849i	$-0.391865\pi$
$53$	9.70361	−	7.05009i	1.33289	−	0.968404i	0.999673	−	0.0255546i	$-0.00813517\pi$
$54$	4.46852	+	6.61607i	0.608089	+	0.900333i
$55$	1.85700	−	0.101746i	0.250398	−	0.0137195i
$56$	−1.58845	−	1.75761i	−0.212265	−	0.234870i
$57$	−2.21156	+	1.60680i	−0.292929	+	0.212825i
$58$	−0.964923	−	2.38404i	−0.126701	−	0.313040i
$59$	−0.0189921	+	0.00403689i	−0.00247256	+	0.000525558i	−0.209148	−	0.977884i	$-0.567069\pi$
$59$	−0.0189921	+	0.00403689i	−0.00247256	+	0.000525558i	0.206675	+	0.978410i	$0.433736\pi$
$60$	0.0551814	+	1.52629i	0.00712389	+	0.197043i
$61$	−12.1375	−	1.27570i	−1.55405	−	0.163337i	−0.711783	−	0.702400i	$-0.752112\pi$
$61$	−12.1375	−	1.27570i	−1.55405	−	0.163337i	−0.842266	+	0.539063i	$0.818779\pi$
$62$	2.30811	+	8.03066i	0.293130	+	1.01989i
$63$	−0.199468	+	0.938425i	−0.0251306	+	0.118230i
$64$	3.97437	−	6.94294i	0.496796	−	0.867867i
$65$	−1.86863	+	0.771961i	−0.231775	+	0.0957500i
$66$	−0.797409	−	6.33756i	−0.0981542	−	0.780100i
$67$	1.89884	−	3.28888i	0.231980	−	0.401801i	−0.726411	−	0.687261i	$-0.758813\pi$
$67$	1.89884	−	3.28888i	0.231980	−	0.401801i	0.958391	+	0.285460i	$0.0921463\pi$
$68$	−7.55770	−	7.80697i	−0.916506	−	0.946734i
$69$	−7.37693	+	8.19291i	−0.888078	+	0.986310i
$70$	−0.461109	+	0.478081i	−0.0551131	+	0.0571416i
$71$	−1.02249	+	9.72834i	−0.121347	+	1.15454i	0.749161	+	0.662388i	$0.230457\pi$
$71$	−1.02249	+	9.72834i	−0.121347	+	1.15454i	−0.870508	+	0.492154i	$0.836210\pi$
$72$	−3.22138	+	0.344600i	−0.379643	+	0.0406115i
$73$	−1.23344	+	3.79615i	−0.144364	+	0.444306i	−0.996929	−	0.0783154i	$-0.975046\pi$
$73$	−1.23344	+	3.79615i	−0.144364	+	0.444306i	0.852565	+	0.522621i	$0.175046\pi$
$74$	−0.628511	−	1.55287i	−0.0730629	−	0.180517i
$75$	−6.34597	+	0.666988i	−0.732769	+	0.0770171i
$76$	−0.563631	−	3.97491i	−0.0646529	−	0.455954i
$77$	1.74308	−	2.16302i	0.198643	−	0.246498i
$78$	3.09639	+	6.21540i	0.350598	+	0.703756i
$79$	3.38131	−	2.45667i	0.380427	−	0.276396i	−0.381094	−	0.924536i	$-0.624453\pi$
$79$	3.38131	−	2.45667i	0.380427	−	0.276396i	0.761521	+	0.648140i	$0.224453\pi$
$80$	−2.01840	−	0.978293i	−0.225664	−	0.109377i
$81$	−2.84495	−	3.15964i	−0.316105	−	0.351071i
$82$	−5.77117	+	9.24848i	−0.637319	+	1.02132i
$83$	1.83934	−	2.53163i	0.201893	−	0.277882i	−0.696050	−	0.717993i	$-0.745061\pi$
$83$	1.83934	−	2.53163i	0.201893	−	0.277882i	0.897943	+	0.440111i	$0.145061\pi$
$84$	1.74937	+	1.46423i	0.190872	+	0.159760i
$85$	−2.03851	+	2.26400i	−0.221108	+	0.245565i
$86$	−8.64899	+	1.53054i	−0.932644	+	0.165043i
$87$	1.23832	+	2.14483i	0.132762	+	0.229950i
$88$	8.77188	+	3.32477i	0.935086	+	0.354422i
$89$	−6.41766	−	3.70524i	−0.680271	−	0.392754i	0.119686	−	0.992812i	$-0.461811\pi$
$89$	−6.41766	−	3.70524i	−0.680271	−	0.392754i	−0.799957	+	0.600057i	$0.795144\pi$
$90$	0.158283	+	0.894447i	0.0166845	+	0.0942830i
$91$	−1.01074	+	2.84578i	−0.105955	+	0.298319i
$92$	−5.55637	−	15.2077i	−0.579292	−	1.58551i
$93$	−3.27270	−	7.35061i	−0.339363	−	0.762223i
$94$	−1.33844	−	0.0459140i	−0.138049	−	0.00473567i
$95$	−1.10101	+	0.234027i	−0.112961	+	0.0240107i
$96$	−2.86383	+	7.15156i	−0.292289	+	0.729903i
$97$	−7.43998	+	16.7105i	−0.755416	+	1.69669i	−0.0387760	+	0.999248i	$0.512346\pi$
$97$	−7.43998	+	16.7105i	−0.755416	+	1.69669i	−0.716640	+	0.697444i	$0.754321\pi$
$98$	−0.626819	−	8.88528i	−0.0633182	−	0.897549i
$99$	−0.991958	−	3.66716i	−0.0996955	−	0.368564i
$100$	3.49978	−	8.69307i	0.349978	−	0.869307i
$101$	3.98270	−	0.418598i	0.396293	−	0.0416521i	0.0957137	−	0.995409i	$-0.469487\pi$
$101$	3.98270	−	0.418598i	0.396293	−	0.0416521i	0.300579	+	0.953757i	$0.402820\pi$
$102$	8.24923	+	6.43682i	0.816795	+	0.637341i
$103$	−19.1859	−	6.23386i	−1.89044	−	0.614241i	−0.979403	−	0.201913i	$-0.935284\pi$
$103$	−19.1859	−	6.23386i	−1.89044	−	0.614241i	−0.911036	−	0.412328i	$-0.864716\pi$
$104$	−10.1948	−	0.257669i	−0.999681	−	0.0252665i
$105$	0.375954	−	0.517457i	0.0366894	−	0.0504986i
$106$	−4.68555	−	16.3026i	−0.455101	−	1.58344i
$107$	−13.6174	−	2.89447i	−1.31644	−	0.279819i	−0.504428	−	0.863454i	$-0.668297\pi$
$107$	−13.6174	−	2.89447i	−1.31644	−	0.279819i	−0.812016	+	0.583635i	$0.801630\pi$
$108$	10.9520	−	2.74496i	1.05385	−	0.264134i
$109$	14.6283			1.40114			0.700569	−	0.713585i	$-0.252930\pi$
$109$	14.6283			1.40114			0.700569	+	0.713585i	$0.252930\pi$
$110$	0.761450	−	2.51750i	0.0726014	−	0.240035i
$111$	0.806590	+	1.39706i	0.0765582	+	0.132603i
$112$	−3.10327	+	1.26270i	−0.293231	+	0.119314i
$113$	10.1960	−	11.3238i	0.959157	−	1.06525i	−0.0386625	−	0.999252i	$-0.512310\pi$
$113$	10.1960	−	11.3238i	0.959157	−	1.06525i	0.997820	−	0.0659996i	$-0.0210236\pi$
$114$	1.06789	+	3.71554i	0.100017	+	0.347992i
$115$	−4.14706	+	1.84639i	−0.386716	+	0.172177i
$116$	−3.63486	+	0.131415i	−0.337488	+	0.0122016i
$117$	2.33601	+	3.40575i	0.215964	+	0.314862i
$118$	−0.00380479	+	0.0271940i	−0.000350259	+	0.00250341i
$119$	0.475660	+	4.52561i	0.0436037	+	0.414862i
$120$	2.05542	+	0.663650i	0.187633	+	0.0605827i
$121$	−2.23587	+	10.7704i	−0.203261	+	0.979125i
$122$	−7.55655	+	15.5175i	−0.684137	+	1.40488i
$123$	4.26975	−	9.59002i	0.384991	−	0.864703i
$124$	11.7891	+	0.809781i	1.05869	+	0.0727205i
$125$	−5.16534	−	1.67832i	−0.462002	−	0.150113i
$126$	1.15106	+	0.718276i	0.102544	+	0.0639891i
$127$	10.3120	−	4.59122i	0.915046	−	0.407405i	0.105472	−	0.994422i	$-0.466365\pi$
$127$	10.3120	−	4.59122i	0.915046	−	0.407405i	0.809574	+	0.587017i	$0.199698\pi$
$128$	−7.30961	−	8.63537i	−0.646084	−	0.763266i
$129$	8.04404	−	2.61367i	0.708238	−	0.230121i
$130$	0.123802	+	2.85658i	0.0108582	+	0.250539i
$131$	19.8413			1.73354			0.866770	−	0.498708i	$-0.166192\pi$
$131$	19.8413			1.73354			0.866770	+	0.498708i	$0.166192\pi$
$132$	−8.80909	−	2.00029i	−0.766732	−	0.174103i
$133$	−0.840654	+	1.45606i	−0.0728939	+	0.126256i
$134$	−3.45477	−	4.11209i	−0.298447	−	0.355230i
$135$	−0.978230	−	3.01068i	−0.0841927	−	0.259118i
$136$	−14.0266	+	6.27612i	−1.20277	+	0.538173i
$137$	−20.1315	−	2.11591i	−1.71995	−	0.180774i	−0.807476	−	0.589900i	$-0.799167\pi$
$137$	−20.1315	−	2.11591i	−1.71995	−	0.180774i	−0.912478	+	0.409126i	$0.865834\pi$
$138$	7.32811	+	13.7617i	0.623810	+	1.17147i
$139$	−8.50886	+	1.80861i	−0.721712	+	0.153405i	−0.554102	−	0.832449i	$-0.686938\pi$
$139$	−8.50886	+	1.80861i	−0.721712	+	0.153405i	−0.167610	+	0.985853i	$0.553605\pi$
$140$	0.412821	+	0.843769i	0.0348897	+	0.0713115i
$141$	1.28255	−	0.134802i	0.108010	−	0.0113524i
$142$	12.4374	+	6.05665i	1.04372	+	0.508263i
$143$	−1.57793	−	11.8537i	−0.131953	−	0.991256i
$144$	−1.09746	+	4.44833i	−0.0914552	+	0.370695i
$145$	0.106596	+	1.01420i	0.00885236	+	0.0842245i
$146$	4.45034	+	3.47258i	0.368313	+	0.287392i
$147$	1.78334	+	8.38997i	0.147088	+	0.691993i
$148$	−2.36760	+	0.0855982i	−0.194615	+	0.00703613i
$149$	−0.420130	+	3.99727i	−0.0344184	+	0.327469i	0.963742	+	0.266836i	$0.0859784\pi$
$149$	−0.420130	+	3.99727i	−0.0344184	+	0.327469i	−0.998160	+	0.0606323i	$0.980688\pi$
$150$	−2.17771	+	8.75728i	−0.177809	+	0.715029i
$151$	8.00230	−	2.60010i	0.651218	−	0.211593i	0.0352666	−	0.999378i	$-0.488772\pi$
$151$	8.00230	−	2.60010i	0.651218	−	0.211593i	0.615951	+	0.787785i	$0.288772\pi$
$152$	−5.55571	−	1.17018i	−0.450627	−	0.0949139i
$153$	5.38932	+	3.11153i	0.435701	+	0.251552i
$154$	−2.03345	−	3.36140i	−0.163860	−	0.270870i
$155$		−	3.31313i		−	0.266117i
$156$	9.75682	−	1.11456i	0.781171	−	0.0892365i
$157$	−0.138568	−	0.426468i	−0.0110589	−	0.0340358i	0.945375	−	0.325985i	$-0.105696\pi$
$157$	−0.138568	−	0.426468i	−0.0110589	−	0.0340358i	−0.956434	+	0.291950i	$0.905696\pi$
$158$	−1.63272	−	5.68077i	−0.129892	−	0.451938i
$159$	6.64371	+	14.9220i	0.526881	+	1.18339i
$160$	−2.27500	+	2.21052i	−0.179854	+	0.174757i
$161$	−2.09533	+	6.44876i	−0.165135	+	0.508234i
$162$	−5.57360	+	2.25588i	−0.437904	+	0.177238i
$163$	−14.5371	−	6.47235i	−1.13864	−	0.506953i	−0.251223	−	0.967929i	$-0.580833\pi$
$163$	−14.5371	−	6.47235i	−1.13864	−	0.506953i	−0.887413	+	0.460976i	$0.847499\pi$
$164$	9.50656	+	12.1370i	0.742338	+	0.947740i
$165$	−0.390259	+	2.50246i	−0.0303816	+	0.194817i
$166$	−2.47694	−	3.66734i	−0.192248	−	0.284641i
$167$	15.8422	−	1.66509i	1.22591	−	0.128848i	0.530640	−	0.847597i	$-0.321952\pi$
$167$	15.8422	−	1.66509i	1.22591	−	0.128848i	0.695269	+	0.718749i	$0.255285\pi$
$168$	2.79100	−	1.61827i	0.215331	−	0.124852i
$169$	5.88016	+	11.5941i	0.452320	+	0.891856i
$170$	2.02502	+	3.80286i	0.155312	+	0.291666i
$171$	0.935193	+	2.10048i	0.0715160	+	0.160628i
$172$	−2.14191	+	12.2355i	−0.163319	+	0.932948i
$173$	5.03412	+	4.53274i	0.382737	+	0.344618i	0.837933	−	0.545773i	$-0.183764\pi$
$173$	5.03412	+	4.53274i	0.382737	+	0.344618i	−0.455196	+	0.890391i	$0.650431\pi$
$174$	3.44891	−	0.610326i	0.261461	−	0.0462687i
$175$	−3.39875	+	1.96227i	−0.256921	+	0.148334i
$176$	8.65505	−	10.0544i	0.652399	−	0.757876i
$177$		−	0.0264417i		−	0.00198748i
$178$	−8.02399	+	6.74135i	−0.601424	+	0.505286i
$179$	1.29174	−	6.07716i	0.0965492	−	0.454228i	−0.903141	−	0.429344i	$-0.858745\pi$
$179$	1.29174	−	6.07716i	0.0965492	−	0.454228i	0.999690	−	0.0248845i	$-0.00792180\pi$
$180$	1.26535	+	0.221509i	0.0943137	+	0.0165103i
$181$	−11.1470	−	8.09874i	−0.828547	−	0.601975i	0.0906009	−	0.995887i	$-0.471121\pi$
$181$	−11.1470	−	8.09874i	−0.828547	−	0.601975i	−0.919148	+	0.393913i	$0.871121\pi$
$182$	3.29462	+	2.71765i	0.244213	+	0.201446i
$183$	5.13593	−	15.8068i	0.379659	−	1.16847i
$184$	−22.8975	+	0.0423053i	−1.68802	+	0.00311879i
$185$	0.0694326	+	0.660607i	0.00510478	+	0.0485688i
$186$	−11.3509	+	0.800757i	−0.832288	+	0.0587144i
$187$	−9.84975	−	15.0887i	−0.720285	−	1.10339i
$188$	−0.707323	+	1.75691i	−0.0515869	+	0.128136i
$189$	−4.31965	−	1.92323i	−0.314208	−	0.139895i
$190$	−0.220572	+	1.57650i	−0.0160020	+	0.114371i
$191$	1.86423	+	8.77052i	0.134891	+	0.634612i	0.992697	+	0.120638i	$0.0384940\pi$
$191$	1.86423	+	8.77052i	0.134891	+	0.634612i	−0.857806	+	0.513974i	$0.828173\pi$
$192$	8.12316	+	7.25995i	0.586238	+	0.523942i
$193$	−12.5480	+	5.58672i	−0.903223	+	0.402141i	−0.805173	−	0.593040i	$-0.797927\pi$
$193$	−12.5480	+	5.58672i	−0.903223	+	0.402141i	−0.0980507	+	0.995181i	$0.531261\pi$
$194$	18.6194	+	17.9584i	1.33680	+	1.28934i
$195$	−0.499221	−	2.70771i	−0.0357500	−	0.193903i
$196$	−12.1132	−	3.45726i	−0.865229	−	0.246947i
$197$	9.00373	−	15.5949i	0.641489	−	1.11109i	−0.343611	−	0.939112i	$-0.611650\pi$
$197$	9.00373	−	15.5949i	0.641489	−	1.11109i	0.985100	−	0.171980i	$-0.0550164\pi$
$198$	−5.35347	−	0.452233i	−0.380454	−	0.0321388i
$199$	−1.78009	+	1.02774i	−0.126187	+	0.0728543i	−0.561765	−	0.827297i	$-0.689877\pi$
$199$	−1.78009	+	1.02774i	−0.126187	+	0.0728543i	0.435578	+	0.900151i	$0.356544\pi$
$200$	−9.86510	−	8.84962i	−0.697568	−	0.625763i
$201$	3.84338	+	3.46059i	0.271091	+	0.244091i
$202$	1.36672	−	5.49602i	0.0961619	−	0.386699i
$203$	1.23233	+	0.895337i	0.0864923	+	0.0628403i
$204$	12.5393	−	7.85691i	0.877926	−	0.550094i
$205$	3.21224	−	2.89232i	0.224353	−	0.202008i
$206$	−17.5505	+	22.4921i	−1.22280	+	1.56710i
$207$	5.45042	+	7.50185i	0.378830	+	0.521415i
$208$	−5.26526	+	13.4267i	−0.365080	+	0.930976i
$209$	0.332633	−	6.64927i	0.0230087	−	0.459939i
$210$	−0.506278	−	0.749592i	−0.0349365	−	0.0517268i
$211$	−0.786669	−	7.48465i	−0.0541565	−	0.515265i	−0.987651	−	0.156672i	$-0.949923\pi$
$211$	−0.786669	−	7.48465i	−0.0541565	−	0.515265i	0.933494	−	0.358593i	$-0.116743\pi$
$212$	−23.9323	−	1.64389i	−1.64367	−	0.112903i
$213$	−12.6693	−	4.11650i	−0.868086	−	0.282058i
$214$	−10.4228	+	16.7029i	−0.712491	+	1.14179i
$215$	3.46360	+	0.364039i	0.236216	+	0.0248273i
$216$	1.63971	−	15.8831i	0.111568	−	1.08071i
$217$	−3.67766	−	3.31138i	−0.249656	−	0.224791i
$218$	7.06359	−	19.4443i	0.478406	−	1.31693i
$219$	−4.70749	−	2.71787i	−0.318103	−	0.183657i
$220$	−2.97864	−	2.22777i	−0.200820	−	0.150196i
$221$	15.5296	+	11.9394i	1.04464	+	0.803134i
$222$	2.24648	−	0.397541i	0.150774	−	0.0266812i
$223$	26.1208	+	5.55215i	1.74918	+	0.371799i	0.967694	−	0.252126i	$-0.0811297\pi$
$223$	26.1208	+	5.55215i	1.74918	+	0.371799i	0.781484	+	0.623925i	$0.214463\pi$
$224$	0.179937	+	4.73466i	0.0120225	+	0.316348i
$225$	−0.561002	+	5.33758i	−0.0374001	+	0.355838i
$226$	−10.1285	−	19.0207i	−0.673738	−	1.26524i
$227$	1.78002	+	8.37433i	0.118144	+	0.555824i	0.996909	+	0.0785685i	$0.0250349\pi$
$227$	1.78002	+	8.37433i	0.118144	+	0.555824i	−0.878765	+	0.477255i	$0.841632\pi$
$228$	5.45443	+	0.374661i	0.361229	+	0.0248125i
$229$	−1.41199	−	1.94343i	−0.0933066	−	0.128426i	0.759811	−	0.650144i	$-0.225291\pi$
$229$	−1.41199	−	1.94343i	−0.0933066	−	0.128426i	−0.853118	+	0.521718i	$0.825291\pi$
$230$	0.451771	+	6.40394i	0.0297889	+	0.422263i
$231$	2.38775	+	2.93434i	0.157102	+	0.193065i
$232$	−1.58049	+	4.89499i	−0.103764	+	0.321372i
$233$	12.5086	+	17.2167i	0.819468	+	1.12790i	0.989793	+	0.142513i	$0.0455183\pi$
$233$	12.5086	+	17.2167i	0.819468	+	1.12790i	−0.170325	+	0.985388i	$0.554482\pi$
$234$	5.65500	−	1.46054i	0.369679	−	0.0954788i
$235$	0.505025	+	0.164093i	0.0329442	+	0.0107042i
$236$	0.0343097	+	0.0181886i	0.00223337	+	0.00118398i
$237$	2.31506	+	5.19971i	0.150379	+	0.337758i
$238$	6.24523	+	1.55303i	0.404818	+	0.100668i
$239$	15.3375	−	4.98346i	0.992102	−	0.322353i	0.232397	−	0.972621i	$-0.425343\pi$
$239$	15.3375	−	4.98346i	0.992102	−	0.322353i	0.759705	+	0.650268i	$0.225343\pi$
$240$	1.87464	−	2.41166i	0.121008	−	0.155672i
$241$	−11.1246	−	19.2684i	−0.716600	−	1.24119i	−0.962339	−	0.271852i	$-0.912364\pi$
$241$	−11.1246	−	19.2684i	−0.716600	−	1.24119i	0.245739	−	0.969336i	$-0.420969\pi$
$242$	13.2366	+	8.17268i	0.850880	+	0.525360i
$243$	−9.65270	+	5.57299i	−0.619221	+	0.357507i
$244$	16.9773	+	17.5373i	1.08686	+	1.12271i
$245$	−0.734312	+	3.45467i	−0.0469135	+	0.220711i
$246$	−10.6855	−	10.3062i	−0.681285	−	0.657099i
$247$	2.04907	+	6.94143i	0.130379	+	0.441673i
$248$	6.76898	−	15.2793i	0.429830	−	0.970235i
$249$	2.85151	+	3.16692i	0.180707	+	0.200696i
$250$	−4.72505	+	6.05548i	−0.298839	+	0.382982i
$251$	0.762689	−	1.71303i	0.0481405	−	0.108125i	−0.887874	−	0.460086i	$-0.847818\pi$
$251$	0.762689	−	1.71303i	0.0481405	−	0.108125i	0.936015	+	0.351961i	$0.114485\pi$
$252$	1.51056	−	1.18318i	0.0951565	−	0.0745333i
$253$	−4.26321	−	26.5091i	−0.268026	−	1.66661i
$254$	−1.12337	−	15.9240i	−0.0704864	−	0.999160i
$255$	−2.43862	−	3.35647i	−0.152712	−	0.210190i
$256$	−15.0079	+	5.54633i	−0.937996	+	0.346646i
$257$	−3.16942	−	3.52000i	−0.197703	−	0.219572i	0.636139	−	0.771574i	$-0.280530\pi$
$257$	−3.16942	−	3.52000i	−0.197703	−	0.219572i	−0.833842	+	0.552003i	$0.813864\pi$
$258$	0.410086	−	11.9544i	0.0255308	−	0.744248i
$259$	0.802686	+	0.583186i	0.0498765	+	0.0362374i
$260$	3.85682	+	1.21480i	0.239190	+	0.0753387i
$261$	1.98114	−	0.643711i	0.122629	−	0.0398447i
$262$	9.58078	−	26.3735i	0.591902	−	1.62936i
$263$	10.4803	−	18.1523i	0.646240	−	1.11932i	−0.337774	−	0.941227i	$-0.609674\pi$
$263$	10.4803	−	18.1523i	0.646240	−	1.11932i	0.984014	−	0.178093i	$-0.0569928\pi$
$264$	−6.91249	+	10.7434i	−0.425434	+	0.661208i
$265$			6.72579i			0.413162i
$266$	1.52950	+	1.82050i	0.0937794	+	0.111622i
$267$	6.75272	−	7.49966i	0.413260	−	0.458971i
$268$	−7.13409	+	2.60655i	−0.435784	+	0.159221i
$269$	2.86510	−	27.2596i	0.174688	−	1.66205i	−0.458982	−	0.888446i	$-0.651786\pi$
$269$	2.86510	−	27.2596i	0.174688	−	1.66205i	0.633670	−	0.773603i	$-0.281548\pi$
$270$	−4.47423	−	0.153485i	−0.272293	−	0.00934078i
$271$	5.78016	−	5.20448i	0.351120	−	0.316150i	−0.474631	−	0.880185i	$-0.657418\pi$
$271$	5.78016	−	5.20448i	0.351120	−	0.316150i	0.825751	+	0.564035i	$0.190752\pi$
$272$	1.56933	+	21.6750i	0.0951548	+	1.31424i
$273$	−3.50459	−	2.15213i	−0.212107	−	0.130253i
$274$	−12.5335	+	25.7376i	−0.757174	+	1.55487i
$275$	8.43284	−	13.0532i	0.508519	−	0.787139i
$276$	21.8309	−	3.09556i	1.31407	−	0.186331i
$277$	−2.62096	+	5.88678i	−0.157478	+	0.353702i	−0.975003	−	0.222191i	$-0.928679\pi$
$277$	−2.62096	+	5.88678i	−0.157478	+	0.353702i	0.817525	+	0.575894i	$0.195346\pi$
$278$	−1.70463	+	12.1835i	−0.102237	+	0.730718i
$279$	−6.61978	+	1.40708i	−0.396316	+	0.0842396i
$280$	1.32090	−	0.141300i	0.0789387	−	0.00844428i
$281$	−15.1460	−	11.0042i	−0.903535	−	0.656457i	0.0358362	−	0.999358i	$-0.488591\pi$
$281$	−15.1460	−	11.0042i	−0.903535	−	0.656457i	−0.939372	+	0.342901i	$0.888591\pi$
$282$	0.440126	−	1.76989i	0.0262091	−	0.105395i
$283$	9.27513	+	1.97149i	0.551349	+	0.117193i	0.475158	−	0.879900i	$-0.342391\pi$
$283$	9.27513	+	1.97149i	0.551349	+	0.117193i	0.0761911	+	0.997093i	$0.475724\pi$
$284$	14.0563	−	13.6075i	0.834088	−	0.807457i
$285$		−	1.53288i		−	0.0908002i
$286$	−16.5182	−	3.62639i	−0.976739	−	0.214433i
$287$		−	6.45646i		−	0.381113i
$288$	5.38290	+	3.60674i	0.317190	+	0.212529i
$289$	12.2434	+	2.60241i	0.720199	+	0.153083i
$290$	1.39957	+	0.348036i	0.0821855	+	0.0204374i
$291$	−20.1529	−	14.6420i	−1.18139	−	0.858327i
$292$	6.76477	−	4.23869i	0.395878	−	0.248051i
$293$	4.88627	−	1.03861i	0.285459	−	0.0606762i	−0.0629569	−	0.998016i	$-0.520053\pi$
$293$	4.88627	−	1.03861i	0.285459	−	0.0606762i	0.348416	+	0.937340i	$0.386720\pi$
$294$	12.0133	+	1.68081i	0.700628	+	0.0980269i
$295$	0.00442842	−	0.00994639i	0.000257832	−	0.000579101i
$296$	−1.02946	+	3.18840i	−0.0598364	+	0.185322i
$297$	18.6955	−	1.02434i	1.08482	−	0.0594380i
$298$	5.11039	+	2.48861i	0.296037	+	0.144161i
$299$	13.9036	+	25.6646i	0.804066	+	1.48422i
$300$	10.5888	+	7.12330i	0.611346	+	0.411264i
$301$	3.86586	−	3.48084i	0.222825	−	0.200632i
$302$	0.407957	−	11.8924i	0.0234753	−	0.684328i
$303$	−0.570058	+	5.42374i	−0.0327490	+	0.311586i
$304$	−4.23812	+	6.81973i	−0.243073	+	0.391138i
$305$	4.57924	−	5.08576i	0.262207	−	0.291210i
$306$	6.73826	−	5.66115i	0.385201	−	0.323626i
$307$		−	26.8687i		−	1.53348i	−0.641958	−	0.766740i	$-0.721877\pi$
$307$		−	26.8687i		−	1.53348i	0.641958	−	0.766740i	$-0.278123\pi$
$308$	−5.44995	+	1.07978i	−0.310540	+	0.0615263i
$309$	13.7362	−	23.7918i	0.781425	−	1.35347i
$310$	−4.40389	−	1.59982i	−0.250124	−	0.0908634i
$311$	8.74538	−	2.84155i	0.495905	−	0.161129i	−0.0503776	−	0.998730i	$-0.516042\pi$
$311$	8.74538	−	2.84155i	0.495905	−	0.161129i	0.546283	+	0.837601i	$0.316042\pi$
$312$	3.22978	−	13.5072i	0.182850	−	0.764694i
$313$	−15.8563	−	11.5203i	−0.896250	−	0.651164i	0.0412499	−	0.999149i	$-0.486866\pi$
$313$	−15.8563	−	11.5203i	−0.896250	−	0.651164i	−0.937500	+	0.347985i	$0.886866\pi$
$314$	−0.633781	−	0.0217413i	−0.0357663	−	0.00122693i
$315$	−0.359976	−	0.399794i	−0.0202823	−	0.0225258i
$316$	−8.33941	−	0.572827i	−0.469128	−	0.0322240i
$317$	−6.94100	−	9.55347i	−0.389846	−	0.536576i	0.568314	−	0.822812i	$-0.307596\pi$
$317$	−6.94100	−	9.55347i	−0.389846	−	0.536576i	−0.958159	+	0.286236i	$0.907596\pi$
$318$	23.0428	−	1.62557i	1.29217	−	0.0911573i
$319$	−5.95963	−	0.929403i	−0.333675	−	0.0520366i
$320$	1.83974	+	4.09138i	0.102845	+	0.228715i
$321$	7.71125	−	17.3198i	0.430400	−	0.966695i
$322$	7.56007	+	5.89908i	0.421306	+	0.328743i
$323$	7.29737	+	8.10455i	0.406037	+	0.450949i
$324$	0.307232	+	8.49786i	0.0170685	+	0.472104i
$325$	−3.95922	+	16.4235i	−0.219618	+	0.911015i
$326$	−15.6228	+	16.1978i	−0.865264	+	0.897112i
$327$	−4.14185	+	19.4859i	−0.229045	+	1.07757i
$328$	20.7232	−	6.77574i	1.14425	−	0.374128i
$329$	0.686905	−	0.396585i	0.0378703	−	0.0218644i
$330$	3.13789	+	1.72711i	0.172735	+	0.0950742i
$331$	−4.72156	−	8.17798i	−0.259520	−	0.449503i	0.706593	−	0.707620i	$-0.250231\pi$
$331$	−4.72156	−	8.17798i	−0.259520	−	0.449503i	−0.966114	+	0.258117i	$0.916898\pi$
$332$	−6.07076	+	1.52155i	−0.333176	+	0.0835061i
$333$	1.29043	−	0.419287i	0.0707153	−	0.0229768i
$334$	5.43649	−	21.8619i	0.297471	−	1.19623i
$335$	0.866161	+	1.94543i	0.0473234	+	0.106290i
$336$	−0.803347	−	4.49128i	−0.0438262	−	0.245020i
$337$	−4.83008	−	1.56939i	−0.263111	−	0.0854900i	0.174491	−	0.984659i	$-0.444172\pi$
$337$	−4.83008	−	1.56939i	−0.263111	−	0.0854900i	−0.437602	+	0.899169i	$0.644172\pi$
$338$	18.2505	−	2.21759i	0.992699	−	0.120621i
$339$	12.1972	+	16.7879i	0.662459	+	0.911796i
$340$	6.03268	−	0.855416i	0.327168	−	0.0463915i
$341$	18.9403	+	5.02683i	1.02567	+	0.272218i
$342$	3.24358	−	0.228821i	0.175393	−	0.0123732i
$343$	6.54707	+	9.01127i	0.353509	+	0.486563i
$344$	15.2294	+	8.75525i	0.821117	+	0.472051i
$345$	−1.28532	−	6.04695i	−0.0691993	−	0.325557i
$346$	8.45586	−	4.50274i	0.454590	−	0.242069i
$347$	0.362175	−	3.44586i	0.0194426	−	0.184984i	−0.980490	−	0.196567i	$-0.937021\pi$
$347$	0.362175	−	3.44586i	0.0194426	−	0.184984i	0.999933	+	0.0115837i	$0.00368728\pi$
$348$	0.854118	−	4.87908i	0.0457856	−	0.261546i
$349$	−1.24627	−	0.264903i	−0.0667113	−	0.0141799i	0.174435	−	0.984669i	$-0.444190\pi$
$349$	−1.24627	−	0.264903i	−0.0667113	−	0.0141799i	−0.241146	+	0.970489i	$0.577523\pi$
$350$	0.967137	+	5.46522i	0.0516957	+	0.292129i
$351$	−18.8125	+	7.77175i	−1.00414	+	0.414825i
$352$	−9.18522	−	16.3595i	−0.489574	−	0.871962i
$353$	−13.0387	−	7.52788i	−0.693978	−	0.400668i	0.111123	−	0.993807i	$-0.464555\pi$
$353$	−13.0387	−	7.52788i	−0.693978	−	0.400668i	−0.805101	+	0.593138i	$0.797889\pi$
$354$	−0.0351469	−	0.0127679i	−0.00186804	−	0.000678608i
$355$	−4.07629	−	3.67031i	−0.216347	−	0.194800i
$356$	5.08621	+	13.9209i	0.269569	+	0.737805i
$357$	−6.16309	−	0.647767i	−0.326185	−	0.0342835i
$358$	−7.45416	−	4.65150i	−0.393965	−	0.245839i
$359$	21.7267	+	7.05944i	1.14669	+	0.372583i	0.819896	−	0.572512i	$-0.194031\pi$
$359$	21.7267	+	7.05944i	1.14669	+	0.372583i	0.326796	+	0.945095i	$0.394031\pi$
$360$	0.905436	−	1.57497i	0.0477207	−	0.0830084i
$361$	−1.56485	−	14.8886i	−0.0823607	−	0.783610i
$362$	−16.1476	+	10.9062i	−0.848698	+	0.573215i
$363$	−13.7138	−	6.02785i	−0.719787	−	0.316380i
$364$	5.20324	−	3.06701i	0.272724	−	0.160755i
$365$	−1.31560	−	1.81077i	−0.0688616	−	0.0947799i
$366$	−18.5307	−	14.4594i	−0.968618	−	0.755807i
$367$	−18.3037	+	16.4807i	−0.955443	+	0.860285i	−0.990277	−	0.139109i	$-0.955576\pi$
$367$	−18.3037	+	16.4807i	−0.955443	+	0.860285i	0.0348344	+	0.999393i	$0.488910\pi$
$368$	−11.0003	+	30.4563i	−0.573429	+	1.58764i
$369$	−7.14321	−	5.18984i	−0.371861	−	0.270172i
$370$	0.911621	+	0.226696i	0.0473929	+	0.0117854i
$371$	7.46580	+	6.72223i	0.387605	+	0.349001i
$372$	−4.41663	+	15.4745i	−0.228992	+	0.802318i
$373$	−16.8491	+	9.72785i	−0.872415	+	0.503689i	−0.868150	−	0.496302i	$-0.834691\pi$
$373$	−16.8491	+	9.72785i	−0.872415	+	0.503689i	−0.00426520	+	0.999991i	$0.501358\pi$
$374$	−24.8124	+	5.80664i	−1.28302	+	0.300254i
$375$	3.69815	−	6.40538i	0.190971	−	0.330772i
$376$	1.99379	+	1.78855i	0.102822	+	0.0922376i
$377$	6.44843	−	1.18890i	0.332111	−	0.0612314i
$378$	−4.64224	+	4.81311i	−0.238771	+	0.247560i
$379$	−11.3706	+	5.06250i	−0.584067	+	0.260043i	−0.677428	−	0.735589i	$-0.736905\pi$
$379$	−11.3706	+	5.06250i	−0.584067	+	0.260043i	0.0933613	+	0.995632i	$0.470239\pi$
$380$	1.98901	+	1.05443i	0.102034	+	0.0540913i
$381$	3.19606	+	15.0363i	0.163739	+	0.770333i
$382$	12.5582	+	1.75705i	0.642531	+	0.0898984i
$383$	−21.4702	−	9.55914i	−1.09708	−	0.488449i	−0.223285	−	0.974753i	$-0.571678\pi$
$383$	−21.4702	−	9.55914i	−1.09708	−	0.488449i	−0.873790	+	0.486304i	$0.838345\pi$
$384$	13.5725	−	7.29187i	0.692621	−	0.372112i
$385$	0.406743	+	1.50369i	0.0207295	+	0.0766349i
$386$	1.36695	+	19.3767i	0.0695757	+	0.986250i
$387$	−0.743616	−	7.07503i	−0.0378001	−	0.359644i
$388$	32.8615	−	16.0778i	1.66829	−	0.816225i
$389$	−9.35014	+	28.7768i	−0.474071	+	1.45904i	0.373136	+	0.927777i	$0.378283\pi$
$389$	−9.35014	+	28.7768i	−0.474071	+	1.45904i	−0.847207	+	0.531264i	$0.821717\pi$
$390$	−3.84021	−	0.643899i	−0.194457	−	0.0326051i
$391$	35.5825	+	25.8522i	1.79948	+	1.30740i
$392$	−10.4446	+	14.4317i	−0.527531	+	0.728913i
$393$	−5.61785	+	26.4299i	−0.283383	+	1.33321i
$394$	−16.3815	−	19.4983i	−0.825288	−	0.982310i
$395$			2.34366i			0.117922i
$396$	−3.18615	+	6.89759i	−0.160110	+	0.346617i
$397$	−20.5488	+	11.8639i	−1.03132	+	0.595430i	−0.917361	−	0.398056i	$-0.869685\pi$
$397$	−20.5488	+	11.8639i	−1.03132	+	0.595430i	−0.113954	+	0.993486i	$0.536352\pi$
$398$	0.506537	+	2.86240i	0.0253904	+	0.143479i
$399$	−1.70154	−	1.53207i	−0.0851836	−	0.0766997i
$400$	−16.5267	+	8.83969i	−0.826335	+	0.441985i
$401$	−7.70794	−	17.3123i	−0.384916	−	0.864536i	−0.997262	−	0.0739464i	$-0.976441\pi$
$401$	−7.70794	−	17.3123i	−0.384916	−	0.864536i	0.612346	−	0.790590i	$-0.290226\pi$
$402$	6.45576	−	3.43769i	0.321984	−	0.171456i
$403$	−21.2390	+	1.65153i	−1.05799	+	0.0822684i
$404$	−6.64549	−	4.47054i	−0.330626	−	0.222418i
$405$	2.37108	−	0.249210i	0.117820	−	0.0123833i
$406$	1.78516	−	1.20570i	0.0885959	−	0.0598381i
$407$	−3.88186	−	0.605375i	−0.192417	−	0.0300073i
$408$	−4.38873	−	20.4614i	−0.217275	−	1.01299i
$409$	22.4581	+	9.99899i	1.11048	+	0.494418i	0.878231	−	0.478238i	$-0.158724\pi$
$409$	22.4581	+	9.99899i	1.11048	+	0.494418i	0.232251	+	0.972656i	$0.425391\pi$
$410$	−2.29344	−	5.66641i	−0.113265	−	0.279844i
$411$	8.51857	−	26.2175i	0.420190	−	1.29321i
$412$	21.4225	+	34.1893i	1.05541	+	1.68439i
$413$	−0.00661467	−	0.0148568i	−0.000325487	−	0.000731055i
$414$	12.6035	−	3.62239i	0.619428	−	0.178031i
$415$	0.542241	+	1.66885i	0.0266176	+	0.0819204i
$416$	15.3047	+	13.4821i	0.750374	+	0.661014i
$417$		−	11.8465i		−	0.580124i
$418$	−8.67774	−	3.65288i	−0.424442	−	0.178668i
$419$	1.61212	+	0.930759i	0.0787573	+	0.0454705i	0.538861	−	0.842394i	$-0.318855\pi$
$419$	1.61212	+	0.930759i	0.0787573	+	0.0454705i	−0.460104	+	0.887865i	$0.652188\pi$
$420$	−1.24084	+	0.311001i	−0.0605469	+	0.0151753i
$421$	−16.1262	+	5.23972i	−0.785943	+	0.255368i	−0.674375	−	0.738389i	$-0.735587\pi$
$421$	−16.1262	+	5.23972i	−0.785943	+	0.255368i	−0.111567	+	0.993757i	$0.535587\pi$
$422$	−10.3286	−	2.56846i	−0.502790	−	0.125031i
$423$	0.113381	−	1.07875i	0.00551279	−	0.0524507i
$424$	−13.7413	+	31.0175i	−0.667336	+	1.50634i
$425$	5.29268	+	24.9001i	0.256733	+	1.20783i
$426$	−11.5894	+	14.8526i	−0.561508	+	0.719610i
$427$	−1.06851	−	10.1662i	−0.0517086	−	0.491975i
$428$	17.1690	+	21.9196i	0.829896	+	1.05953i
$429$	16.2367	+	1.25435i	0.783915	+	0.0605605i
$430$	2.15636	−	4.42812i	0.103989	−	0.213543i
$431$	25.5510	−	2.68551i	1.23075	−	0.129357i	0.533258	−	0.845953i	$-0.320967\pi$
$431$	25.5510	−	2.68551i	1.23075	−	0.129357i	0.697489	+	0.716596i	$0.254301\pi$
$432$	−20.3204	−	9.84901i	−0.977664	−	0.473861i
$433$	−0.350019	+	0.0743989i	−0.0168209	+	0.00357538i	−0.216314	−	0.976324i	$-0.569404\pi$
$433$	−0.350019	+	0.0743989i	−0.0168209	+	0.00357538i	0.199494	+	0.979899i	$0.436070\pi$
$434$	−6.17740	+	3.28947i	−0.296525	+	0.157899i
$435$	−1.38116	−	0.145166i	−0.0662216	−	0.00696017i
$436$	−22.4350	−	18.7782i	−1.07444	−	0.899311i
$437$	5.02164	+	15.4550i	0.240218	+	0.739314i
$438$	−5.88577	+	4.94493i	−0.281233	+	0.236278i
$439$	−6.79221	+	11.7645i	−0.324175	+	0.561487i	−0.981345	−	0.192255i	$-0.938420\pi$
$439$	−6.79221	+	11.7645i	−0.324175	+	0.561487i	0.657170	+	0.753742i	$0.271753\pi$
$440$	−4.39950	+	2.88356i	−0.209738	+	0.137468i
$441$	7.21443			0.343544
$442$	23.3690	−	14.8771i	1.11155	−	0.707634i
$443$	9.26341	−	3.00987i	0.440118	−	0.143003i	−0.0805721	−	0.996749i	$-0.525675\pi$
$443$	9.26341	−	3.00987i	0.440118	−	0.143003i	0.520690	+	0.853746i	$0.325675\pi$
$444$	0.556338	−	3.17803i	0.0264026	−	0.150823i
$445$	3.79615	−	1.69016i	0.179955	−	0.0801211i
$446$	19.9930	−	32.0394i	0.946697	−	1.51711i
$447$	−5.20567	−	1.69143i	−0.246220	−	0.0800017i
$448$	6.38031	+	2.04705i	0.301441	+	0.0967142i
$449$	−2.23442	+	5.01858i	−0.105449	+	0.236842i	−0.958562	−	0.284884i	$-0.908045\pi$
$449$	−2.23442	+	5.01858i	−0.105449	+	0.236842i	0.853113	+	0.521726i	$0.174712\pi$
$450$	6.82394	+	3.32306i	0.321684	+	0.156650i
$451$	11.6608	+	22.7519i	0.549088	+	1.07134i
$452$	−30.1735	+	4.27851i	−1.41924	+	0.201244i
$453$	1.19775	+	11.3958i	0.0562750	+	0.535421i
$454$	11.9909	+	1.67768i	0.562760	+	0.0787373i
$455$	−0.957859	−	1.39649i	−0.0449051	−	0.0654687i
$456$	3.13180	−	7.06925i	0.146660	−	0.331048i
$457$	−7.33064	+	3.26381i	−0.342913	+	0.152675i	−0.570965	−	0.820974i	$-0.693431\pi$
$457$	−7.33064	+	3.26381i	−0.342913	+	0.152675i	0.228052	+	0.973649i	$0.426764\pi$
$458$	−3.26506	+	0.938418i	−0.152566	+	0.0438494i
$459$	−20.5228	+	22.7929i	−0.957924	+	1.06388i
$460$	8.73042	+	2.49177i	0.407058	+	0.116180i
$461$	1.81373	+	3.14148i	0.0844740	+	0.146313i	0.905167	−	0.425056i	$-0.139746\pi$
$461$	1.81373	+	3.14148i	0.0844740	+	0.146313i	−0.820693	+	0.571369i	$0.806412\pi$
$462$	5.05337	−	1.75694i	0.235104	−	0.0817403i
$463$	−0.0234358			−0.00108915			−0.000544576	−	1.00000i	$-0.500173\pi$
$463$	−0.0234358			−0.00108915			−0.000544576		1.00000i	$0.500173\pi$
$464$	5.74337	+	4.46447i	0.266629	+	0.207258i
$465$	4.41332	+	0.938079i	0.204663	+	0.0435024i
$466$	28.9249	−	8.31335i	1.33992	−	0.385109i
$467$	−14.3397	+	19.7369i	−0.663562	+	0.913315i	−0.999593	−	0.0285360i	$-0.990915\pi$
$467$	−14.3397	+	19.7369i	−0.663562	+	0.913315i	0.336030	+	0.941851i	$0.390915\pi$
$468$	0.789242	−	8.22201i	0.0364827	−	0.380062i
$469$	3.02518	+	0.982941i	0.139690	+	0.0453880i
$470$	0.461978	−	0.592056i	0.0213094	−	0.0273095i
$471$	0.607317	−	0.0638316i	0.0279837	−	0.00294121i
$472$	0.0407439	−	0.0368225i	0.00187539	−	0.00169489i
$473$	−7.33625	+	19.2481i	−0.337321	+	0.885031i
$474$	8.02945	−	0.566444i	0.368805	−	0.0260176i
$475$	−3.82556	+	8.59235i	−0.175529	+	0.394244i
$476$	5.07996	−	7.55139i	0.232839	−	0.346117i
$477$	13.4384	−	2.85642i	0.615303	−	0.130787i
$478$	0.781907	−	22.7934i	0.0357636	−	1.04254i
$479$	−13.1522	−	29.5404i	−0.600941	−	1.34974i	−0.916196	−	0.400729i	$-0.868757\pi$
$479$	−13.1522	−	29.5404i	−0.600941	−	1.34974i	0.315255	−	0.949007i	$-0.397910\pi$
$480$	−2.30042	−	3.65634i	−0.104999	−	0.166888i
$481$	4.20024	−	0.774399i	0.191514	−	0.0353096i
$482$	−30.9838	+	5.48296i	−1.41127	+	0.249742i
$483$	−7.99691	−	4.61702i	−0.363872	−	0.210082i
$484$	17.2549	−	13.6480i	0.784313	−	0.620366i
$485$	−5.12857	−	8.88294i	−0.232876	−	0.403354i
$486$	2.74674	+	15.5216i	0.124595	+	0.704075i
$487$	0.512060	−	0.568701i	0.0232037	−	0.0257703i	−0.731431	−	0.681915i	$-0.761147\pi$
$487$	0.512060	−	0.568701i	0.0232037	−	0.0257703i	0.754635	+	0.656145i	$0.227814\pi$
$488$	31.5088	−	14.0984i	1.42634	−	0.638207i
$489$	12.7376	−	17.5319i	0.576016	−	0.792818i
$490$	4.23745	+	2.64422i	0.191428	+	0.119454i
$491$	−9.22890	−	10.2497i	−0.416494	−	0.462564i	0.497991	−	0.867182i	$-0.334071\pi$
$491$	−9.22890	−	10.2497i	−0.416494	−	0.462564i	−0.914486	+	0.404618i	$0.867404\pi$
$492$	−18.8590	+	9.22691i	−0.850229	+	0.415981i
$493$	7.99344	−	5.80758i	0.360007	−	0.261560i
$494$	10.2162	+	0.628138i	0.459646	+	0.0282613i
$495$	1.99057	+	0.758688i	0.0894696	+	0.0341005i
$496$	−17.0410	−	16.3754i	−0.765165	−	0.735277i
$497$	−8.14827	+	0.856418i	−0.365500	+	0.0384156i
$498$	5.58646	−	2.26108i	0.250335	−	0.101321i
$499$	1.58678	−	4.88362i	0.0710342	−	0.218621i	−0.909237	−	0.416280i	$-0.863334\pi$
$499$	1.58678	−	4.88362i	0.0710342	−	0.218621i	0.980271	+	0.197659i	$0.0633338\pi$
$500$	5.76749	+	9.20467i	0.257930	+	0.411645i
$501$	−2.26756	+	21.5744i	−0.101307	+	0.963872i
$502$	−1.90872	−	1.84096i	−0.0851902	−	0.0821659i
$503$	14.2160	−	15.7885i	0.633862	−	0.703975i	−0.337568	−	0.941301i	$-0.609604\pi$
$503$	14.2160	−	15.7885i	0.633862	−	0.703975i	0.971430	+	0.237326i	$0.0762709\pi$
$504$	−0.843304	−	2.57920i	−0.0375637	−	0.114887i
$505$	−1.12279	+	1.94474i	−0.0499637	+	0.0865397i
$506$	−37.2951	−	7.13370i	−1.65797	−	0.317132i
$507$	−17.1091	+	4.55002i	−0.759840	+	0.202073i
$508$	−21.7090	−	6.19602i	−0.963180	−	0.274904i
$509$	−0.125722	+	0.591478i	−0.00557255	+	0.0262168i	−0.980846	−	0.194785i	$-0.937599\pi$
$509$	−0.125722	+	0.591478i	−0.00557255	+	0.0262168i	0.975273	+	0.221001i	$0.0709325\pi$
$510$	−5.63903	+	1.62073i	−0.249701	+	0.0717669i
$511$	−3.32490	−	0.349461i	−0.147085	−	0.0154593i
$512$	0.125418	+	22.6271i	0.00554276	+	0.999985i
$513$	−11.0845	+	2.35608i	−0.489392	+	0.104024i
$514$	−6.20929	+	2.51316i	−0.273880	+	0.110851i
$515$	9.15166	−	6.64907i	0.403271	−	0.292993i
$516$	−15.6920	−	6.31753i	−0.690804	−	0.278114i
$517$	−1.70432	+	2.63812i	−0.0749559	+	0.116025i
$518$	1.16278	−	0.785346i	0.0510895	−	0.0345061i
$519$	−7.46327	+	5.42239i	−0.327601	+	0.238016i
$520$	3.47709	−	4.53998i	0.152480	−	0.199091i
$521$	−0.657985	+	2.02507i	−0.0288269	+	0.0887199i	−0.964435	−	0.264321i	$-0.914852\pi$
$521$	−0.657985	+	2.02507i	−0.0288269	+	0.0887199i	0.935608	+	0.353041i	$0.114852\pi$
$522$	0.100999	−	2.94421i	0.00442059	−	0.128864i
$523$	−18.8225	+	8.38032i	−0.823051	+	0.366446i	−0.774656	−	0.632382i	$-0.782077\pi$
$523$	−18.8225	+	8.38032i	−0.823051	+	0.366446i	−0.0483947	+	0.998828i	$0.515411\pi$
$524$	−30.4300	−	25.4700i	−1.32934	−	1.11266i
$525$	−1.65155	−	5.08296i	−0.0720797	−	0.221839i
$526$	−19.0679	−	22.6958i	−0.831400	−	0.989585i
$527$	−27.7995	+	16.0501i	−1.21097	+	0.699152i
$528$	10.9425	+	14.3759i	0.476211	+	0.625631i
$529$	21.2684	+	36.8380i	0.924715	+	1.60165i
$530$	8.94008	+	3.24769i	0.388332	+	0.141071i
$531$	−0.0217540	−	0.00462397i	−0.000944045	−	0.000200663i
$532$	3.15841	−	1.15397i	0.136934	−	0.0500311i
$533$	−20.1426	−	19.1505i	−0.872472	−	0.829500i
$534$	−6.70803	−	12.5972i	−0.290285	−	0.545136i
$535$	5.80137	−	5.22358i	0.250815	−	0.225835i
$536$	0.0198458	+	10.7414i	0.000857210	+	0.463959i
$537$	7.72944	+	3.44137i	0.333550	+	0.148506i
$538$	−34.8507	−	16.9712i	−1.50252	−	0.731682i
$539$	−18.6353	−	9.43944i	−0.802678	−	0.406585i
$540$	−2.36449	+	5.87314i	−0.101752	+	0.252740i
$541$	−12.6753	+	9.20915i	−0.544954	+	0.395932i	−0.825922	−	0.563785i	$-0.809345\pi$
$541$	−12.6753	+	9.20915i	−0.544954	+	0.395932i	0.280967	+	0.959717i	$0.409345\pi$
$542$	−4.12685	−	10.1962i	−0.177263	−	0.437965i
$543$	13.9442	−	12.5554i	0.598404	−	0.538805i
$544$	29.5688	+	8.38026i	1.26775	+	0.359301i
$545$	−4.82148	+	6.63620i	−0.206529	+	0.284263i
$546$	−4.55293	+	3.61918i	−0.194847	+	0.154886i
$547$	−2.50988	−	7.72462i	−0.107315	−	0.330281i	0.882952	−	0.469463i	$-0.155553\pi$
$547$	−2.50988	−	7.72462i	−0.107315	−	0.330281i	−0.990267	+	0.139182i	$0.955553\pi$
$548$	28.1590	+	29.0877i	1.20289	+	1.24257i
$549$	−12.1064	−	6.98961i	−0.516687	−	0.298309i
$550$	−13.2787	−	17.5122i	−0.566205	−	0.746721i
$551$	3.65057			0.155520
$552$	6.42682	−	30.5129i	0.273544	−	1.29872i
$553$	2.60152	+	2.34242i	0.110628	+	0.0996099i
$554$	6.55926	+	6.32640i	0.278676	+	0.268783i
$555$	−0.899632	−	0.0945551i	−0.0381872	−	0.00401364i
$556$	15.3715	+	8.14890i	0.651897	+	0.345590i
$557$	−3.43256	−	3.81225i	−0.145442	−	0.161530i	0.666022	−	0.745932i	$-0.267996\pi$
$557$	−3.43256	−	3.81225i	−0.145442	−	0.161530i	−0.811464	+	0.584402i	$0.801329\pi$
$558$	−1.32618	+	9.47861i	−0.0561416	+	0.401262i
$559$	0.607160	−	22.3851i	0.0256801	−	0.946787i
$560$	0.450004	−	1.82400i	0.0190161	−	0.0770779i
$561$	22.8880	−	8.84833i	0.966332	−	0.373577i
$562$	−21.9406	+	14.8188i	−0.925510	+	0.625094i
$563$	−20.7866	−	9.25478i	−0.876050	−	0.390042i	−0.0810914	−	0.996707i	$-0.525841\pi$
$563$	−20.7866	−	9.25478i	−0.876050	−	0.390042i	−0.794958	+	0.606664i	$0.792507\pi$
$564$	−2.14006	−	1.43965i	−0.0901127	−	0.0606204i
$565$	1.77650	+	8.35776i	0.0747378	+	0.351614i
$566$	7.09925	−	11.3768i	0.298404	−	0.478201i
$567$	2.09319	−	2.88103i	0.0879058	−	0.120992i
$568$	−11.3000	−	25.2546i	−0.474139	−	1.05966i
$569$	4.36903	−	20.5547i	0.183159	−	0.861697i	−0.786568	−	0.617504i	$-0.788144\pi$
$569$	4.36903	−	20.5547i	0.183159	−	0.861697i	0.969727	−	0.244192i	$-0.0785228\pi$
$570$	−2.03755	−	0.740185i	−0.0853434	−	0.0310030i
$571$	−18.4563			−0.772371			−0.386186	−	0.922421i	$-0.626208\pi$
$571$	−18.4563			−0.772371			−0.386186	+	0.922421i	$0.626208\pi$
$572$	−12.7964	+	20.2052i	−0.535045	+	0.844823i
$573$	−12.2108			−0.510112
$574$	−8.58208	−	3.11764i	−0.358209	−	0.130128i
$575$	−7.88649	+	37.1030i	−0.328889	+	1.54730i
$576$	7.39342	−	5.41348i	0.308059	−	0.225562i
$577$	10.6171	−	14.6132i	0.441996	−	0.608356i	−0.528658	−	0.848835i	$-0.677305\pi$
$577$	10.6171	−	14.6132i	0.441996	−	0.608356i	0.970654	+	0.240479i	$0.0773046\pi$
$578$	9.37116	−	15.0176i	0.389789	−	0.624648i
$579$	−3.88906	−	18.2966i	−0.161624	−	0.760380i
$580$	1.13843	−	1.69228i	0.0472707	−	0.0702682i
$581$	2.39442	+	1.06606i	0.0993371	+	0.0442277i
$582$	−29.1937	+	19.7176i	−1.21012	+	0.817319i
$583$	−38.4495	−	10.2047i	−1.59242	−	0.422634i
$584$	−2.36766	−	11.0386i	−0.0979745	−	0.456782i
$585$	−2.31498	−	0.0627902i	−0.0957127	−	0.00259606i
$586$	0.978895	−	6.99646i	0.0404378	−	0.289021i
$587$	9.19808	+	10.2155i	0.379645	+	0.421639i	0.902437	−	0.430821i	$-0.141776\pi$
$587$	9.19808	+	10.2155i	0.379645	+	0.421639i	−0.522792	+	0.852460i	$0.675109\pi$
$588$	8.03503	−	15.1567i	0.331359	−	0.625052i
$589$	−11.7952	−	1.23973i	−0.486013	−	0.0510821i
$590$	−0.0110826	−	0.0106892i	−0.000456264	−	0.000440067i
$591$	18.2242	+	16.4091i	0.749642	+	0.674981i
$592$	3.74099	+	2.90797i	0.153754	+	0.119517i
$593$	7.14772			0.293522			0.146761	−	0.989172i	$-0.453115\pi$
$593$	7.14772			0.293522			0.146761	+	0.989172i	$0.453115\pi$
$594$	7.66593	−	25.3451i	0.314537	−	1.03992i
$595$	−2.20984	−	1.27585i	−0.0905946	−	0.0523048i
$596$	5.77558	−	5.59118i	0.236577	−	0.229024i
$597$	−0.865000	−	2.66219i	−0.0354021	−	0.108956i
$598$	40.8276	−	6.08833i	1.66956	−	0.248970i
$599$	1.83713	−	2.52860i	0.0750632	−	0.103316i	−0.769834	−	0.638244i	$-0.779661\pi$
$599$	1.83713	−	2.52860i	0.0750632	−	0.103316i	0.844898	+	0.534928i	$0.179661\pi$
$600$	14.5815	−	10.6353i	0.595287	−	0.434184i
$601$	29.7958	−	26.8282i	1.21539	−	1.09435i	0.222551	−	0.974921i	$-0.428562\pi$
$601$	29.7958	−	26.8282i	1.21539	−	1.09435i	0.992843	−	0.119425i	$-0.0381050\pi$
$602$	−2.76010	−	6.81940i	−0.112493	−	0.277938i
$603$	3.51920	−	2.55685i	0.143313	−	0.104123i
$604$	−15.6106	−	6.28474i	−0.635187	−	0.255722i
$605$	−4.14908	−	4.56422i	−0.168684	−	0.185562i
$606$	6.93410	+	3.37670i	0.281679	+	0.137169i
$607$	−7.99949	−	3.56160i	−0.324689	−	0.144561i	0.237918	−	0.971285i	$-0.423535\pi$
$607$	−7.99949	−	3.56160i	−0.324689	−	0.144561i	−0.562607	+	0.826724i	$0.690202\pi$
$608$	7.01848	+	8.92646i	0.284637	+	0.362016i
$609$	−1.54157	+	1.38804i	−0.0624676	+	0.0562460i
$610$	−4.54893	−	8.54260i	−0.184181	−	0.345880i
$611$	0.800179	−	3.31928i	0.0323718	−	0.134284i
$612$	−4.27122	−	11.6903i	−0.172654	−	0.472551i
$613$	20.1062	+	4.27371i	0.812084	+	0.172614i	0.595194	−	0.803582i	$-0.297075\pi$
$613$	20.1062	+	4.27371i	0.812084	+	0.172614i	0.216890	+	0.976196i	$0.430409\pi$
$614$	−35.7146	−	12.9741i	−1.44132	−	0.523594i
$615$	2.94325	+	5.09786i	0.118683	+	0.205565i
$616$	−1.19635	+	7.76560i	−0.0482024	+	0.312885i
$617$	33.2490	−	19.1963i	1.33855	−	0.772814i	0.351961	−	0.936015i	$-0.385515\pi$
$617$	33.2490	−	19.1963i	1.33855	−	0.772814i	0.986593	+	0.163201i	$0.0521818\pi$
$618$	−24.9918	−	29.7469i	−1.00532	−	1.19659i
$619$	−7.49375	−	23.0634i	−0.301199	−	0.926997i	−0.981068	−	0.193663i	$-0.937963\pi$
$619$	−7.49375	−	23.0634i	−0.301199	−	0.926997i	0.679869	−	0.733334i	$-0.262037\pi$
$620$	−4.25303	+	5.08126i	−0.170806	+	0.204068i
$621$	−41.7508	+	18.5886i	−1.67540	+	0.745936i
$622$	0.445840	−	12.9967i	0.0178765	−	0.521119i
$623$	1.91803	−	5.90309i	0.0768443	−	0.236502i
$624$	−16.3945	−	10.8153i	−0.656305	−	0.432960i
$625$	−16.4896	+	11.9804i	−0.659585	+	0.479217i
$626$	−22.9695	+	15.5137i	−0.918048	+	0.620054i
$627$	8.76309	+	2.32576i	0.349964	+	0.0928820i
$628$	−0.334934	+	0.831938i	−0.0133653	+	0.0331980i
$629$	5.20660	−	3.78282i	0.207601	−	0.150831i
$630$	−0.705237	+	0.285440i	−0.0280973	+	0.0113722i
$631$	32.6764	−	6.94559i	1.30083	−	0.276500i	0.495127	−	0.868821i	$-0.335122\pi$
$631$	32.6764	−	6.94559i	1.30083	−	0.276500i	0.805702	+	0.592321i	$0.201788\pi$
$632$	−4.78827	+	10.8083i	−0.190467	+	0.429932i
$633$	10.1928	+	1.07131i	0.405127	+	0.0425806i
$634$	−16.0503	+	4.61305i	−0.637439	+	0.183208i
$635$	−1.31602	+	6.19137i	−0.0522245	+	0.245697i
$636$	8.96594	−	31.4139i	0.355523	−	1.24564i
$637$	22.5123	+	2.98526i	0.891971	+	0.118281i
$638$	−4.11312	+	7.47290i	−0.162840	+	0.295855i
$639$	−5.60225	+	9.70338i	−0.221621	+	0.383860i
$640$	6.32672	−	0.469824i	0.250085	−	0.0185714i
$641$	−19.5527	+	21.7155i	−0.772285	+	0.857709i	−0.993059	−	0.117616i	$-0.962475\pi$
$641$	−19.5527	+	21.7155i	−0.772285	+	0.857709i	0.220774	+	0.975325i	$0.429142\pi$
$642$	−19.2983	−	18.6132i	−0.761643	−	0.734604i
$643$	−5.05951	+	48.1381i	−0.199528	+	1.89838i	0.197073	+	0.980389i	$0.436856\pi$
$643$	−5.05951	+	48.1381i	−0.199528	+	1.89838i	−0.396601	+	0.917991i	$0.629810\pi$
$644$	11.4917	−	7.20053i	0.452838	−	0.283741i
$645$	−1.46561	+	4.51068i	−0.0577083	+	0.177608i
$646$	14.2964	−	5.78638i	0.562486	−	0.227662i
$647$	29.9296	−	3.14573i	1.17665	−	0.123671i	0.504050	−	0.863674i	$-0.331843\pi$
$647$	29.9296	−	3.14573i	1.17665	−	0.123671i	0.672604	+	0.740003i	$0.265176\pi$
$648$	11.4439	+	3.69499i	0.449560	+	0.145153i
$649$	0.0501418	+	0.0404072i	0.00196824	+	0.00158612i
$650$	19.9188	+	13.1931i	0.781279	+	0.517478i
$651$	5.45228	−	3.96131i	0.213692	−	0.155256i
$652$	13.9867	+	28.5876i	0.547762	+	1.11958i
$653$	2.04046	+	2.26616i	0.0798494	+	0.0886817i	0.781746	−	0.623598i	$-0.214330\pi$
$653$	2.04046	+	2.26616i	0.0798494	+	0.0886817i	−0.701896	+	0.712279i	$0.747663\pi$
$654$	23.9011	+	14.9146i	0.934608	+	0.583208i
$655$	−6.53967	+	9.00108i	−0.255526	+	0.351701i
$656$	1.00017	−	30.8176i	0.0390501	−	1.20323i
$657$	−3.05926	+	3.39765i	−0.119353	+	0.132555i
$658$	−0.195463	−	1.10455i	−0.00761996	−	0.0430598i
$659$	−3.22623	−	5.58800i	−0.125676	−	0.217677i	0.796321	−	0.604874i	$-0.206777\pi$
$659$	−3.22623	−	5.58800i	−0.125676	−	0.217677i	−0.921997	+	0.387197i	$0.873443\pi$
$660$	3.81091	−	3.33699i	0.148339	−	0.129892i
$661$	30.9679	+	17.8793i	1.20451	+	0.695426i	0.961555	−	0.274611i	$-0.0885492\pi$
$661$	30.9679	+	17.8793i	1.20451	+	0.695426i	0.242957	+	0.970037i	$0.421883\pi$
$662$	−13.1503	+	2.32710i	−0.511100	+	0.0904453i
$663$	−20.3012	+	17.3060i	−0.788433	+	0.672109i
$664$	−0.908906	+	8.80411i	−0.0352724	+	0.341666i
$665$	−0.383467	−	0.861281i	−0.0148702	−	0.0333990i
$666$	0.0657863	−	1.91774i	0.00254917	−	0.0743107i
$667$	14.4009	−	3.06100i	0.557603	−	0.118522i
$668$	−26.4342	−	17.7828i	−1.02277	−	0.688036i
$669$	−14.7917	+	33.2226i	−0.571879	+	1.28446i
$670$	3.00416	−	0.211930i	0.116061	−	0.00818758i
$671$	22.1261	+	33.8946i	0.854169	+	1.30849i
$672$	−6.35783	−	1.10088i	−0.245259	−	0.0424674i
$673$	−11.5925	+	1.21842i	−0.446858	+	0.0469666i	−0.325285	−	0.945616i	$-0.605460\pi$
$673$	−11.5925	+	1.21842i	−0.446858	+	0.0469666i	−0.121572	+	0.992583i	$0.538794\pi$
$674$	−4.41837	+	5.66244i	−0.170189	+	0.218109i
$675$	−25.1570	−	8.17401i	−0.968294	−	0.314618i
$676$	5.86499	−	25.3299i	0.225577	−	0.974225i
$677$	−1.27242	+	1.75133i	−0.0489030	+	0.0673092i	−0.832768	−	0.553622i	$-0.813245\pi$
$677$	−1.27242	+	1.75133i	−0.0489030	+	0.0673092i	0.783865	+	0.620931i	$0.213245\pi$
$678$	28.2046	−	8.10634i	1.08319	−	0.311322i
$679$	−14.9861	−	3.18540i	−0.575116	−	0.122245i
$680$	1.77597	−	8.43183i	0.0681052	−	0.323346i
$681$	−11.6592			−0.446780
$682$	15.8275	−	22.7486i	0.606066	−	0.871088i
$683$	−13.2275	−	22.9108i	−0.506138	−	0.876656i	−0.999975	−	0.00710192i	$-0.997739\pi$
$683$	−13.2275	−	22.9108i	−0.506138	−	0.876656i	0.493837	−	0.869555i	$-0.335594\pi$
$684$	1.26208	−	4.42194i	0.0482568	−	0.169077i
$685$	7.59523	−	8.43536i	0.290199	−	0.322299i
$686$	15.1394	−	4.35124i	0.578024	−	0.166131i
$687$	2.98857	−	1.33060i	0.114021	−	0.0507654i
$688$	18.9915	−	16.0157i	0.724046	−	0.610592i
$689$	43.1160	−	3.35266i	1.64259	−	0.127726i
$690$	−8.65840	−	1.21142i	−0.329620	−	0.0461180i
$691$	5.14279	+	48.9304i	0.195641	+	1.86140i	0.448350	+	0.893858i	$0.352012\pi$
$691$	5.14279	+	48.9304i	0.195641	+	1.86140i	−0.252709	+	0.967542i	$0.581321\pi$
$692$	−1.90206	−	13.4140i	−0.0723055	−	0.509922i
$693$	2.83168	−	1.45130i	0.107567	−	0.0551303i
$694$	−4.40544	−	2.14532i	−0.167228	−	0.0814352i
$695$	1.98403	−	4.45620i	0.0752585	−	0.169033i
$696$	−6.07296	−	3.49128i	−0.230195	−	0.132337i
$697$	−39.8299	−	12.9415i	−1.50867	−	0.490195i
$698$	−0.953903	+	1.52866i	−0.0361058	+	0.0578606i
$699$	−26.4754	+	11.7876i	−1.00139	+	0.445849i
$700$	7.73151	+	1.35346i	0.292224	+	0.0511558i
$701$	−36.1739	+	11.7536i	−1.36627	+	0.443927i	−0.898131	−	0.439729i	$-0.855075\pi$
$701$	−36.1739	+	11.7536i	−1.36627	+	0.443927i	−0.468137	+	0.883656i	$0.655075\pi$
$702$	1.24639	+	28.7588i	0.0470418	+	1.08543i
$703$	2.37783			0.0896817
$704$	−26.1807	+	4.30970i	−0.986720	+	0.162428i
$705$	−0.361575	+	0.626266i	−0.0136177	+	0.0235865i
$706$	−16.3022	+	13.6963i	−0.613542	+	0.515467i
$707$	1.03651	+	3.19004i	0.0389819	+	0.119974i
$708$	−0.0339429	+	0.0405529i	−0.00127565	+	0.00152407i
$709$	21.7752	+	2.28867i	0.817786	+	0.0859527i	0.504178	−	0.863600i	$-0.331796\pi$
$709$	21.7752	+	2.28867i	0.817786	+	0.0859527i	0.313608	+	0.949553i	$0.398462\pi$
$710$	−6.84698	+	3.64602i	−0.256963	+	0.136833i
$711$	4.68274	−	0.995346i	0.175616	−	0.0373284i
$712$	20.9600	−	0.0387256i	0.785507	−	0.00145130i
$713$	−47.5695	+	4.99976i	−1.78149	+	0.187242i
$714$	−3.83701	+	7.87934i	−0.143596	+	0.294877i
$715$	5.89757	+	3.19114i	0.220556	+	0.119342i
$716$	−9.78228	+	7.66218i	−0.365581	+	0.286349i
$717$	2.29565	+	21.8416i	0.0857325	+	0.815691i
$718$	19.8748	−	25.4709i	0.741720	−	0.950565i
$719$	6.45974	+	30.3907i	0.240907	+	1.13338i	0.917721	+	0.397226i	$0.130027\pi$
$719$	6.45974	+	30.3907i	0.240907	+	1.13338i	−0.676813	+	0.736155i	$0.736640\pi$
$720$	−1.65628	−	1.96404i	−0.0617261	−	0.0731953i
$721$	1.76619	−	16.8041i	0.0657762	−	0.625819i
$722$	−20.5459	−	5.10923i	−0.764639	−	0.190146i
$723$	28.8167	−	9.36310i	1.07170	−	0.348217i
$724$	6.69952	+	26.7300i	0.248986	+	0.993413i
$725$	7.37961	+	4.26062i	0.274072	+	0.158235i
$726$	−14.6344	+	15.3180i	−0.543132	+	0.568505i
$727$			8.43605i			0.312876i	0.987688	+	0.156438i	$0.0500011\pi$
$727$			8.43605i			0.312876i	−0.987688	+	0.156438i	$0.949999\pi$
$728$	−1.56425	−	8.39724i	−0.0579749	−	0.311222i
$729$	−8.63208	−	26.5668i	−0.319707	−	0.983956i
$730$	−3.04218	+	0.874359i	−0.112596	+	0.0323615i
$731$	−13.7244	−	30.8256i	−0.507617	−	1.14013i
$732$	−28.1678	+	17.6495i	−1.04111	+	0.652343i
$733$	−2.81930	+	8.67692i	−0.104133	+	0.320489i	−0.989526	−	0.144354i	$-0.953889\pi$
$733$	−2.81930	+	8.67692i	−0.104133	+	0.320489i	0.885393	+	0.464844i	$0.153889\pi$
$734$	13.0682	+	32.2877i	0.482356	+	1.19176i
$735$	−4.39394	−	1.95631i	−0.162073	−	0.0721594i
$736$	35.1715	+	29.3283i	1.29644	+	1.08105i
$737$	−12.4357	+	1.99992i	−0.458074	+	0.0736679i
$738$	−10.3477	+	6.98890i	−0.380905	+	0.257265i
$739$	−39.9094	+	4.19465i	−1.46809	+	0.154303i	−0.804572	−	0.593856i	$-0.797605\pi$
$739$	−39.9094	+	4.19465i	−1.46809	+	0.154303i	−0.663520	+	0.748158i	$0.730938\pi$
$740$	0.741526	−	1.10228i	0.0272590	−	0.0405207i
$741$	−9.82663	+	0.764110i	−0.360990	+	0.0280703i
$742$	12.5404	−	6.67774i	0.460371	−	0.245148i
$743$	11.0686	+	24.8604i	0.406066	+	0.912040i	0.994621	+	0.103583i	$0.0330306\pi$
$743$	11.0686	+	24.8604i	0.406066	+	0.912040i	−0.588554	+	0.808458i	$0.700303\pi$
$744$	18.4365	+	13.3429i	0.675914	+	0.489175i
$745$	−1.67490	−	1.50809i	−0.0613637	−	0.0552521i
$746$	4.79453	+	27.0936i	0.175540	+	0.991966i
$747$	3.10414	−	1.79217i	0.113574	−	0.0655722i
$748$	−4.26286	+	35.7851i	−0.155866	+	1.30843i
$749$		−	11.6605i		−	0.426065i
$750$	−6.72845	−	8.00864i	−0.245688	−	0.292434i
$751$	4.39183	−	20.6619i	0.160260	−	0.753965i	−0.822453	−	0.568833i	$-0.807395\pi$
$751$	4.39183	−	20.6619i	0.160260	−	0.753965i	0.982714	−	0.185133i	$-0.0592714\pi$
$752$	3.34013	−	1.78655i	0.121802	−	0.0651487i
$753$	2.06592	+	1.50098i	0.0752864	+	0.0546988i
$754$	1.53345	−	9.14549i	0.0558449	−	0.333059i
$755$	−1.45800	+	4.48727i	−0.0530621	+	0.163308i
$756$	4.15609	+	8.49468i	0.151156	+	0.308949i
$757$	−3.27956	−	31.2030i	−0.119198	−	1.13409i	−0.876626	−	0.481172i	$-0.840211\pi$
$757$	−3.27956	−	31.2030i	−0.119198	−	1.13409i	0.757428	−	0.652918i	$-0.226456\pi$
$758$	1.23868	+	17.5586i	0.0449909	+	0.637756i
$759$	36.5190	+	1.82688i	1.32555	+	0.0663116i
$760$	2.36201	−	2.13468i	0.0856792	−	0.0774330i
$761$	13.1220	+	5.84229i	0.475672	+	0.211783i	0.630547	−	0.776151i	$-0.282831\pi$
$761$	13.1220	+	5.84229i	0.475672	+	0.211783i	−0.154875	+	0.987934i	$0.549497\pi$
$762$	21.5299	+	3.01231i	0.779946	+	0.109124i
$763$	2.54742	+	11.9847i	0.0922227	+	0.433874i
$764$	8.39948	−	15.8442i	0.303883	−	0.573222i
$765$	−3.18787	+	1.41933i	−0.115258	+	0.0513161i
$766$	−23.0736	+	23.9228i	−0.833682	+	0.864367i
$767$	−0.0659693	−	0.0234305i	−0.00238201	−	0.000846027i
$768$	−3.13875	−	21.5620i	−0.113260	−	0.778051i
$769$	20.0193	−	34.6745i	0.721916	−	1.25039i	−0.238315	−	0.971188i	$-0.576595\pi$
$769$	20.0193	−	34.6745i	0.721916	−	1.25039i	0.960231	−	0.279207i	$-0.0900715\pi$
$770$	2.19514	+	0.185434i	0.0791073	+	0.00668257i
$771$	5.58627	−	3.22523i	0.201184	−	0.116154i
$772$	26.4161	+	7.53949i	0.950735	+	0.271352i
$773$	4.66770	+	4.20282i	0.167886	+	0.151165i	0.748791	−	0.662806i	$-0.230635\pi$
$773$	4.66770	+	4.20282i	0.167886	+	0.151165i	−0.580905	+	0.813971i	$0.697301\pi$
$774$	−9.76337	−	2.42790i	−0.350937	−	0.0872689i
$775$	−22.3970	−	16.2724i	−0.804526	−	0.584522i
$776$	−5.50307	−	51.4438i	−0.197549	−	1.84672i
$777$	−1.00412	+	0.904109i	−0.0360224	+	0.0324347i
$778$	33.7359	+	26.3239i	1.20949	+	0.943757i
$779$	−9.09508	−	12.5183i	−0.325865	−	0.448515i
$780$	−2.71021	+	4.79358i	−0.0970412	+	0.171638i
$781$	27.1669	−	17.7343i	0.972108	−	0.634583i
$782$	51.5451	−	34.8138i	1.84325	−	1.24494i
$783$	1.07317	+	10.2105i	0.0383518	+	0.364893i
$784$	14.1396	+	20.8519i	0.504986	+	0.744709i
$785$	0.239141	+	0.0777015i	0.00853530	+	0.00277329i
$786$	32.4186	+	20.2296i	1.15633	+	0.721567i
$787$	2.65643	+	0.279202i	0.0946915	+	0.00995248i	0.151756	−	0.988418i	$-0.451507\pi$
$787$	2.65643	+	0.279202i	0.0946915	+	0.00995248i	−0.0570642	+	0.998371i	$0.518174\pi$
$788$	−33.8278	+	12.3595i	−1.20506	+	0.440289i
$789$	21.2128	+	19.1000i	0.755194	+	0.679980i
$790$	3.11525	+	1.13169i	0.110836	+	0.0402636i
$791$	11.0529	+	6.38139i	0.392995	+	0.226896i
$792$	7.62993	+	7.56575i	0.271118	+	0.268837i
$793$	−34.8852	−	26.8203i	−1.23881	−	0.952417i
$794$	5.84730	+	33.0427i	0.207513	+	1.17264i
$795$	−8.95920	−	1.90434i	−0.317750	−	0.0675399i
$796$	4.04937	+	0.708871i	0.143526	+	0.0251253i
$797$	2.21989	−	21.1208i	0.0786325	−	0.748138i	−0.882175	−	0.470922i	$-0.843921\pi$
$797$	2.21989	−	21.1208i	0.0786325	−	0.748138i	0.960807	−	0.277217i	$-0.0894120\pi$
$798$	−2.85809	+	1.52193i	−0.101175	+	0.0538759i
$799$	−1.06968	−	5.03244i	−0.0378425	−	0.178035i
$800$	3.76967	+	26.2361i	0.133278	+	0.927586i
$801$	−4.98922	−	6.86707i	−0.176285	−	0.242636i
$802$	−26.7339	+	1.88596i	−0.944007	+	0.0665956i
$803$	12.3478	−	4.77355i	0.435743	−	0.168455i
$804$	−1.45216	−	10.2411i	−0.0512137	−	0.361176i
$805$	−2.23489	−	3.07606i	−0.0787695	−	0.108417i
$806$	−8.06045	+	29.0289i	−0.283917	+	1.02250i
$807$	35.5004	+	11.5348i	1.24967	+	0.406044i
$808$	−9.15127	+	6.67465i	−0.321940	+	0.234813i
$809$	5.19639	+	11.6713i	0.182695	+	0.410340i	0.981556	−	0.191176i	$-0.0612302\pi$
$809$	5.19639	+	11.6713i	0.182695	+	0.410340i	−0.798861	+	0.601516i	$0.794563\pi$
$810$	0.813668	−	3.27203i	0.0285894	−	0.114967i
$811$	14.0431	−	4.56287i	0.493119	−	0.160224i	−0.0518925	−	0.998653i	$-0.516525\pi$
$811$	14.0431	−	4.56287i	0.493119	−	0.160224i	0.545011	+	0.838429i	$0.316525\pi$
$812$	−0.740650	−	2.95507i	−0.0259917	−	0.103703i
$813$	5.29613	+	9.17316i	0.185743	+	0.321717i
$814$	−2.67912	+	4.86754i	−0.0939029	+	0.170607i
$815$	7.72763	−	4.46155i	0.270687	−	0.156281i
$816$	−29.3170	−	4.04661i	−1.02630	−	0.141660i
$817$	2.59206	−	12.1947i	0.0906847	−	0.426638i
$818$	24.1353	−	25.0236i	0.843870	−	0.874930i
$819$	−2.38346	+	2.50693i	−0.0832847	+	0.0875993i
$820$	−8.63936	+	0.312348i	−0.301699	+	0.0109077i
$821$	2.80564	+	3.11598i	0.0979177	+	0.108749i	0.790112	−	0.612963i	$-0.210022\pi$
$821$	2.80564	+	3.11598i	0.0979177	+	0.108749i	−0.692194	+	0.721711i	$0.743356\pi$
$822$	−30.7355	−	23.9827i	−1.07202	−	0.836494i
$823$	7.57368	−	17.0108i	0.264002	−	0.592958i	−0.732097	−	0.681200i	$-0.761458\pi$
$823$	7.57368	−	17.0108i	0.264002	−	0.592958i	0.996099	+	0.0882425i	$0.0281250\pi$
$824$	55.7896	−	11.9662i	1.94352	−	0.416863i
$825$	15.0001	+	14.9290i	0.522237	+	0.519761i
$826$	−0.0229420	+	0.00161846i	−0.000798255	+	5.63135e-5i
$827$	−24.4557	−	33.6604i	−0.850407	−	1.17049i	−0.983773	−	0.179418i	$-0.942578\pi$
$827$	−24.4557	−	33.6604i	−0.850407	−	1.17049i	0.133365	−	0.991067i	$-0.457422\pi$
$828$	1.27089	−	18.5020i	0.0441664	−	0.642989i
$829$	26.7076	+	29.6618i	0.927594	+	1.03020i	0.999462	+	0.0327835i	$0.0104372\pi$
$829$	26.7076	+	29.6618i	0.927594	+	1.03020i	−0.0718683	+	0.997414i	$0.522896\pi$
$830$	2.48010	+	0.0850778i	0.0860856	+	0.00295309i
$831$	−7.09949	−	5.15808i	−0.246279	−	0.178932i
$832$	25.3109	−	13.8332i	0.877498	−	0.479581i
$833$	32.5444	−	10.5743i	1.12760	−	0.366378i
$834$	−15.7466	−	5.72032i	−0.545260	−	0.198078i
$835$	−4.46622	+	7.73571i	−0.154560	+	0.267705i
$836$	−9.04573	+	9.77079i	−0.312853	+	0.337930i
$837$		−	33.3551i		−	1.15292i
$838$	2.01563	−	1.69343i	0.0696289	−	0.0584987i
$839$	−37.5869	+	41.7444i	−1.29764	+	1.44118i	−0.467119	+	0.884195i	$0.654708\pi$
$839$	−37.5869	+	41.7444i	−1.29764	+	1.44118i	−0.830524	+	0.556983i	$0.811959\pi$
$840$	−0.185777	+	1.79953i	−0.00640993	+	0.0620897i
$841$	−2.68561	+	25.5519i	−0.0926073	+	0.881100i
$842$	−0.822114	+	23.9654i	−0.0283319	+	0.825903i
$843$	18.9468	−	17.0598i	0.652563	−	0.587570i
$844$	−8.40146	+	12.4888i	−0.289190	+	0.429883i
$845$	−7.19782	−	1.15385i	−0.247613	−	0.0396937i
$846$	−1.37915	−	0.671607i	−0.0474163	−	0.0230903i
$847$	−9.21329	+	0.0437810i	−0.316572	+	0.00150433i
$848$	34.5940	+	33.2427i	1.18796	+	1.14156i
$849$	−5.25232	+	11.7969i	−0.180259	+	0.404868i
$850$	35.6535	+	4.98839i	1.22291	+	0.171100i
$851$	9.38012	−	1.99381i	0.321546	−	0.0683468i
$852$	14.1462	+	22.5768i	0.484642	+	0.773467i
$853$	−2.23271	−	1.62216i	−0.0764467	−	0.0555418i	0.548906	−	0.835884i	$-0.315045\pi$
$853$	−2.23271	−	1.62216i	−0.0764467	−	0.0555418i	−0.625352	+	0.780343i	$0.715045\pi$
$854$	−14.0290	−	3.48866i	−0.480064	−	0.119379i
$855$	−1.26113	−	0.268062i	−0.0431297	−	0.00916751i
$856$	37.4265	−	12.2371i	1.27921	−	0.418256i
$857$		−	7.19831i		−	0.245889i	−0.992414	−	0.122945i	$-0.960766\pi$
$857$		−	7.19831i		−	0.245889i	0.992414	−	0.122945i	$-0.0392338\pi$
$858$	9.50754	−	20.9765i	0.324582	−	0.716126i
$859$			28.4529i			0.970801i	0.874292	+	0.485401i	$0.161326\pi$
$859$			28.4529i			0.970801i	−0.874292	+	0.485401i	$0.838674\pi$
$860$	−4.84471	−	5.00450i	−0.165203	−	0.170652i
$861$	8.60044	+	1.82808i	0.293102	+	0.0623008i
$862$	8.76817	−	35.2597i	0.298645	−	1.20095i
$863$	−32.0274	−	23.2693i	−1.09023	−	0.792096i	−0.110789	−	0.993844i	$-0.535338\pi$
$863$	−32.0274	−	23.2693i	−1.09023	−	0.792096i	−0.979438	+	0.201748i	$0.935338\pi$
$864$	−22.9037	+	22.2545i	−0.779198	+	0.757114i
$865$	−3.71554	+	0.789762i	−0.126332	+	0.0268527i
$866$	−0.0701214	+	0.501179i	−0.00238282	+	0.0170308i
$867$	−6.93317	+	15.5722i	−0.235463	+	0.528858i
$868$	1.38955	+	9.79954i	0.0471643	+	0.332618i
$869$	−13.3981	−	3.55591i	−0.454499	−	0.120626i
$870$	−0.859881	+	1.76578i	−0.0291527	+	0.0598654i
$871$	12.0395	−	6.52232i	0.407943	−	0.221000i
$872$	−35.7936	+	20.7537i	−1.21212	+	0.702810i
$873$	−15.5704	+	14.0197i	−0.526978	+	0.474494i
$874$	22.9680	+	0.787897i	0.776903	+	0.0266510i
$875$	0.475504	−	4.52412i	0.0160750	−	0.152943i
$876$	3.73085	+	10.2113i	0.126054	+	0.345007i
$877$	11.4456	−	12.7116i	0.386490	−	0.429241i	−0.518234	−	0.855239i	$-0.673410\pi$
$877$	11.4456	−	12.7116i	0.386490	−	0.429241i	0.904724	+	0.425998i	$0.140077\pi$
$878$	12.3578	+	14.7091i	0.417057	+	0.496407i
$879$			6.80291i			0.229457i
$880$	1.70851	+	7.24031i	0.0575937	+	0.244071i
$881$	−15.5930	+	27.0078i	−0.525340	+	0.909916i	0.474224	+	0.880404i	$0.342729\pi$
$881$	−15.5930	+	27.0078i	−0.525340	+	0.909916i	−0.999564	+	0.0295121i	$0.990605\pi$
$882$	3.48364	−	9.58959i	0.117300	−	0.322898i
$883$	49.7033	−	16.1496i	1.67265	−	0.543476i	0.689185	−	0.724585i	$-0.257969\pi$
$883$	49.7033	−	16.1496i	1.67265	−	0.543476i	0.983463	+	0.181109i	$0.0579686\pi$
$884$	−8.49085	−	38.2464i	−0.285578	−	1.28636i
$885$	0.0119954	+	0.00871517i	0.000403221	+	0.000292957i
$886$	0.472249	−	13.7665i	0.0158655	−	0.462495i
$887$	28.2751	+	31.4026i	0.949384	+	1.05440i	0.998453	+	0.0556023i	$0.0177079\pi$
$887$	28.2751	+	31.4026i	0.949384	+	1.05440i	−0.0490691	+	0.998795i	$0.515625\pi$
$888$	−3.95568	−	2.27408i	−0.132744	−	0.0763130i
$889$	5.55726	+	7.64891i	0.186384	+	0.256536i
$890$	−0.413543	−	5.86206i	−0.0138620	−	0.196497i
$891$	−2.17283	+	13.9329i	−0.0727927	+	0.466770i
$892$	−32.9335	−	42.0461i	−1.10270	−	1.40781i
$893$	0.773165	−	1.73656i	0.0258730	−	0.0581117i
$894$	−4.76195	+	6.10276i	−0.159263	+	0.204107i
$895$	2.33117	+	2.58903i	0.0779226	+	0.0865418i
$896$	5.80186	−	7.49239i	0.193826	−	0.250303i
$897$	−38.1236	+	11.2539i	−1.27291	+	0.375756i
$898$	5.59189	+	5.39337i	0.186604	+	0.179979i
$899$	−2.23404	+	10.5103i	−0.0745094	+	0.350539i
$900$	7.71217	−	7.46593i	0.257072	−	0.248864i
$901$	56.4341	−	32.5823i	1.88009	−	1.08547i
$902$	35.8730	−	4.51364i	1.19444	−	0.150288i
$903$	3.54213	+	6.13516i	0.117875	+	0.204165i
$904$	−8.88280	+	42.1733i	−0.295437	+	1.40266i
$905$	7.34806	−	2.38753i	0.244258	−	0.0793642i
$906$	15.7259	+	3.91062i	0.522458	+	0.129922i
$907$	0.714692	+	1.60523i	0.0237310	+	0.0533006i	0.925022	−	0.379913i	$-0.124046\pi$
$907$	0.714692	+	1.60523i	0.0237310	+	0.0533006i	−0.901291	+	0.433214i	$0.857379\pi$
$908$	8.02006	−	15.1285i	0.266155	−	0.502055i
$909$	4.36252	+	1.41747i	0.144696	+	0.0470144i
$910$	−2.31878	+	0.598882i	−0.0768667	+	0.0198528i
$911$	2.29890	+	3.16417i	0.0761661	+	0.104834i	0.845400	−	0.534133i	$-0.179362\pi$
$911$	2.29890	+	3.16417i	0.0761661	+	0.104834i	−0.769234	+	0.638967i	$0.779362\pi$
$912$	−7.88436	−	7.57639i	−0.261077	−	0.250879i
$913$	−10.3631	+	0.567798i	−0.342967	+	0.0187914i
$914$	0.798582	+	11.3201i	0.0264147	+	0.374434i
$915$	5.47801	+	7.53984i	0.181098	+	0.249259i
$916$	−0.329236	+	4.79313i	−0.0108783	+	0.158370i
$917$	3.45522	+	16.2555i	0.114101	+	0.536805i
$918$	20.3870	+	38.2855i	0.672872	+	1.26361i
$919$	−5.58354	+	53.1239i	−0.184184	+	1.75239i	0.378389	+	0.925647i	$0.376478\pi$
$919$	−5.58354	+	53.1239i	−0.184184	+	1.75239i	−0.562573	+	0.826748i	$0.690189\pi$
$920$	7.52779	−	10.4015i	0.248184	−	0.342926i
$921$	35.7910	+	7.60761i	1.17935	+	0.250679i
$922$	5.05153	−	0.893929i	0.166363	−	0.0294400i
$923$	−21.4967	+	27.9608i	−0.707574	+	0.920342i
$924$	0.104755	−	7.56543i	0.00344618	−	0.248884i
$925$	4.80677	+	2.77519i	0.158046	+	0.0912477i
$926$	−0.0113164	+	0.0311514i	−0.000371881	+	0.00102370i
$927$	−17.1718	−	15.4616i	−0.563997	−	0.507825i
$928$	8.70759	−	5.47846i	0.285841	−	0.179839i
$929$	−10.3179	−	1.08446i	−0.338519	−	0.0355798i	−0.0662562	−	0.997803i	$-0.521105\pi$
$929$	−10.3179	−	1.08446i	−0.338519	−	0.0355798i	−0.272263	+	0.962223i	$0.587772\pi$
$930$	3.37798	−	5.41331i	0.110768	−	0.177510i
$931$	12.0243	+	3.90694i	0.394081	+	0.128045i
$932$	2.91667	−	42.4619i	0.0955387	−	1.39089i
$933$	1.30897	+	12.4540i	0.0428537	+	0.407725i
$934$	19.3105	+	28.5911i	0.631860	+	0.935528i
$935$	10.0915	+	0.504834i	0.330028	+	0.0165098i
$936$	−10.5478	−	5.01925i	−0.344765	−	0.164059i
$937$	−2.89738	−	3.98790i	−0.0946532	−	0.130279i	0.759064	−	0.651016i	$-0.225657\pi$
$937$	−2.89738	−	3.98790i	−0.0946532	−	0.130279i	−0.853717	+	0.520737i	$0.825657\pi$
$938$	2.76732	−	3.54651i	0.0903562	−	0.115798i
$939$	19.8353	−	17.8598i	0.647301	−	0.582832i
$940$	−0.563899	−	0.899958i	−0.0183923	−	0.0293534i
$941$	−1.15668	−	0.840379i	−0.0377068	−	0.0273956i	0.568772	−	0.822495i	$-0.307419\pi$
$941$	−1.15668	−	0.840379i	−0.0377068	−	0.0273956i	−0.606479	+	0.795099i	$0.707419\pi$
$942$	0.208409	−	0.838083i	0.00679035	−	0.0273062i
$943$	−46.3750	−	41.7563i	−1.51018	−	1.35977i
$944$	−0.0292713	−	0.0719382i	−0.000952699	−	0.00234139i
$945$	2.29624	−	1.32573i	0.0746965	−	0.0431261i
$946$	22.0426	+	19.0459i	0.716668	+	0.619235i
$947$	23.5408	−	40.7739i	0.764974	−	1.32497i	−0.175286	−	0.984518i	$-0.556085\pi$
$947$	23.5408	−	40.7739i	0.764974	−	1.32497i	0.940260	−	0.340457i	$-0.110582\pi$
$948$	3.12426	−	10.9465i	0.101471	−	0.355525i
$949$	−10.9522	+	9.33634i	−0.355524	+	0.303070i
$950$	9.57390	+	9.23402i	0.310618	+	0.299591i
$951$	14.6911	−	6.54092i	0.476393	−	0.212104i
$952$	−7.58453	−	10.3987i	−0.245816	−	0.337025i
$953$	−10.0808	−	47.4266i	−0.326550	−	1.53630i	−0.768850	−	0.639430i	$-0.779171\pi$
$953$	−10.0808	−	47.4266i	−0.326550	−	1.53630i	0.442300	−	0.896867i	$-0.354163\pi$
$954$	2.69220	−	19.2419i	0.0871630	−	0.622981i
$955$	−4.59323	−	2.04504i	−0.148634	−	0.0661759i
$956$	−29.9199	−	12.0456i	−0.967679	−	0.389582i
$957$	2.92544	−	7.67548i	0.0945659	−	0.248113i
$958$	−45.6167	+	3.21806i	−1.47381	+	0.103971i
$959$	−1.77225	−	16.8618i	−0.0572289	−	0.544496i
$960$	−5.97090	+	1.29223i	−0.192710	+	0.0417066i
$961$	1.20808	−	3.71809i	0.0389703	−	0.119938i
$962$	0.998825	−	5.95699i	0.0322034	−	0.192061i
$963$	−12.9008	−	9.37295i	−0.415721	−	0.302039i
$964$	−7.67310	+	43.8320i	−0.247134	+	1.41173i
$965$	1.60136	−	7.53383i	0.0515497	−	0.242522i
$966$	−9.99853	+	8.40026i	−0.321697	+	0.270274i
$967$		−	18.0860i		−	0.581606i	−0.956783	−	0.290803i	$-0.906078\pi$
$967$		−	18.0860i		−	0.581606i	0.956783	−	0.290803i	$-0.0939225\pi$
$968$	−9.80942	−	29.5258i	−0.315287	−	0.948996i
$969$	−12.8620	+	7.42587i	−0.413186	+	0.238553i
$970$	−14.2839	+	2.52770i	−0.458627	+	0.0811595i
$971$	−12.2849	−	11.0613i	−0.394240	−	0.354975i	0.448042	−	0.894012i	$-0.352121\pi$
$971$	−12.2849	−	11.0613i	−0.394240	−	0.354975i	−0.842282	+	0.539037i	$0.818788\pi$
$972$	21.9580	+	3.84391i	0.704304	+	0.123294i
$973$	−2.96352	−	6.65617i	−0.0950060	−	0.213387i
$974$	−0.508671	−	0.955252i	−0.0162989	−	0.0306082i
$975$	−20.7563	−	9.92411i	−0.664732	−	0.317826i
$976$	−3.52529	−	48.6900i	−0.112842	−	1.55853i
$977$	36.6365	−	3.85065i	1.17211	−	0.123193i	0.501602	−	0.865099i	$-0.332744\pi$
$977$	36.6365	−	3.85065i	1.17211	−	0.123193i	0.670505	+	0.741905i	$0.266078\pi$
$978$	−17.1531	−	25.3968i	−0.548496	−	0.812100i
$979$	3.90248	+	24.2660i	0.124724	+	0.775544i
$980$	5.56090	−	4.35570i	0.177637	−	0.139138i
$981$	15.3071	+	6.81515i	0.488717	+	0.217591i
$982$	−18.0806	+	7.31797i	−0.576974	+	0.233526i
$983$	13.8617	−	42.6620i	0.442121	−	1.36071i	−0.443490	−	0.896279i	$-0.646260\pi$
$983$	13.8617	−	42.6620i	0.442121	−	1.36071i	0.885611	−	0.464428i	$-0.153740\pi$
$984$	3.15818	+	29.5232i	0.100679	+	0.941166i
$985$	4.10708	+	9.22465i	0.130862	+	0.293922i
$986$	−3.85977	−	13.4294i	−0.122920	−	0.427679i
$987$	0.333788	+	1.02729i	0.0106246	+	0.0326991i
$988$	5.76802	−	13.2762i	0.183505	−	0.422374i
$989$		−	50.2793i		−	1.59879i
$990$	1.96966	−	2.27957i	0.0625998	−	0.0724495i
$991$	17.0788	+	9.86043i	0.542525	+	0.313227i	0.746102	−	0.665832i	$-0.231923\pi$
$991$	17.0788	+	9.86043i	0.542525	+	0.313227i	−0.203577	+	0.979059i	$0.565257\pi$
$992$	−29.9952	+	14.7441i	−0.952349	+	0.468127i
$993$	12.2305	−	3.97393i	0.388123	−	0.126109i
$994$	−2.79619	+	11.2444i	−0.0886899	+	0.356651i
$995$	0.120480	−	1.14629i	0.00381946	−	0.0363398i
$996$	−0.307941	−	8.51747i	−0.00975748	−	0.269886i
$997$	4.20326	+	19.7748i	0.133119	+	0.626273i	0.993230	+	0.116167i	$0.0370607\pi$
$997$	4.20326	+	19.7748i	0.133119	+	0.626273i	−0.860111	+	0.510107i	$0.829606\pi$
$998$	−5.72521	−	4.46735i	−0.181228	−	0.141412i
$999$	0.699016	+	6.65069i	0.0221159	+	0.210419i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bn.a.459.50	yes	640
4.3	odd	2	inner	572.2.bn.a.459.27	yes	640
11.7	odd	10	inner	572.2.bn.a.95.2	✓	640
13.10	even	6	inner	572.2.bn.a.283.24	yes	640
44.7	even	10	inner	572.2.bn.a.95.24	yes	640
52.23	odd	6	inner	572.2.bn.a.283.2	yes	640
143.62	odd	30	inner	572.2.bn.a.491.27	yes	640
572.491	even	30	inner	572.2.bn.a.491.50	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bn.a.95.2	✓	640	11.7	odd	10	inner
572.2.bn.a.95.24	yes	640	44.7	even	10	inner
572.2.bn.a.283.2	yes	640	52.23	odd	6	inner
572.2.bn.a.283.24	yes	640	13.10	even	6	inner
572.2.bn.a.459.27	yes	640	4.3	odd	2	inner
572.2.bn.a.459.50	yes	640	1.1	even	1	trivial
572.2.bn.a.491.27	yes	640	143.62	odd	30	inner
572.2.bn.a.491.50	yes	640	572.491	even	30	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:	\( N \)	\(=\)	\( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	572.bn (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.482871 - 1.32922i) q^{2} +(-0.283140 + 1.33207i) q^{3} +(-1.53367 - 1.28369i) q^{4} +(-0.329599 + 0.453654i) q^{5} +(1.63390 + 1.01957i) q^{6} +(0.174143 + 0.819278i) q^{7} +(-2.44687 + 1.41874i) q^{8} +(1.04640 + 0.465888i) q^{9} +O(q^{10})\)	\(q+(0.482871 - 1.32922i) q^{2} +(-0.283140 + 1.33207i) q^{3} +(-1.53367 - 1.28369i) q^{4} +(-0.329599 + 0.453654i) q^{5} +(1.63390 + 1.01957i) q^{6} +(0.174143 + 0.819278i) q^{7} +(-2.44687 + 1.41874i) q^{8} +(1.04640 + 0.465888i) q^{9} +(0.443854 + 0.657168i) q^{10} +(-2.09334 - 2.57254i) q^{11} +(2.14420 - 1.67949i) q^{12} +(3.07247 + 1.88677i) q^{13} +(1.17309 + 0.164131i) q^{14} +(-0.510976 - 0.567496i) q^{15} +(0.704295 + 3.93751i) q^{16} +(5.40318 + 0.567897i) q^{17} +(1.12455 - 1.16594i) q^{18} +(1.49174 + 1.34317i) q^{19} +(1.08785 - 0.272654i) q^{20} -1.14064 q^{21} +(-4.43029 + 1.54031i) q^{22} +(7.01090 + 4.04774i) q^{23} +(-1.19705 - 3.66110i) q^{24} +(1.44792 + 4.45623i) q^{25} +(3.99155 - 3.17293i) q^{26} +(-3.31826 + 4.56719i) q^{27} +(0.784619 - 1.48005i) q^{28} +(1.35149 - 1.21689i) q^{29} +(-1.00106 + 0.405174i) q^{30} +(-4.78001 + 3.47288i) q^{31} +(5.57391 + 0.965143i) q^{32} +(4.01950 - 2.06008i) q^{33} +(3.36390 - 6.90782i) q^{34} +(-0.429067 - 0.191033i) q^{35} +(-1.00678 - 2.05777i) q^{36} +(0.880308 - 0.792633i) q^{37} +(2.50569 - 1.33428i) q^{38} +(-3.38325 + 3.55852i) q^{39} +(0.162871 - 1.57765i) q^{40} +(-7.54001 - 1.60268i) q^{41} +(-0.550782 + 1.51617i) q^{42} +(-3.10539 - 5.37869i) q^{43} +(-0.0918385 + 6.63261i) q^{44} +(-0.556245 + 0.321148i) q^{45} +(8.76571 - 7.36451i) q^{46} +(-0.292632 - 0.900628i) q^{47} +(-5.44444 - 0.176697i) q^{48} +(5.75393 - 2.56181i) q^{49} +(6.62249 + 0.227179i) q^{50} +(-2.28633 + 7.03661i) q^{51} +(-2.29013 - 6.83778i) q^{52} +(9.70361 - 7.05009i) q^{53} +(4.46852 + 6.61607i) q^{54} +(1.85700 - 0.101746i) q^{55} +(-1.58845 - 1.75761i) q^{56} +(-2.21156 + 1.60680i) q^{57} +(-0.964923 - 2.38404i) q^{58} +(-0.0189921 + 0.00403689i) q^{59} +(0.0551814 + 1.52629i) q^{60} +(-12.1375 - 1.27570i) q^{61} +(2.30811 + 8.03066i) q^{62} +(-0.199468 + 0.938425i) q^{63} +(3.97437 - 6.94294i) q^{64} +(-1.86863 + 0.771961i) q^{65} +(-0.797409 - 6.33756i) q^{66} +(1.89884 - 3.28888i) q^{67} +(-7.55770 - 7.80697i) q^{68} +(-7.37693 + 8.19291i) q^{69} +(-0.461109 + 0.478081i) q^{70} +(-1.02249 + 9.72834i) q^{71} +(-3.22138 + 0.344600i) q^{72} +(-1.23344 + 3.79615i) q^{73} +(-0.628511 - 1.55287i) q^{74} +(-6.34597 + 0.666988i) q^{75} +(-0.563631 - 3.97491i) q^{76} +(1.74308 - 2.16302i) q^{77} +(3.09639 + 6.21540i) q^{78} +(3.38131 - 2.45667i) q^{79} +(-2.01840 - 0.978293i) q^{80} +(-2.84495 - 3.15964i) q^{81} +(-5.77117 + 9.24848i) q^{82} +(1.83934 - 2.53163i) q^{83} +(1.74937 + 1.46423i) q^{84} +(-2.03851 + 2.26400i) q^{85} +(-8.64899 + 1.53054i) q^{86} +(1.23832 + 2.14483i) q^{87} +(8.77188 + 3.32477i) q^{88} +(-6.41766 - 3.70524i) q^{89} +(0.158283 + 0.894447i) q^{90} +(-1.01074 + 2.84578i) q^{91} +(-5.55637 - 15.2077i) q^{92} +(-3.27270 - 7.35061i) q^{93} +(-1.33844 - 0.0459140i) q^{94} +(-1.10101 + 0.234027i) q^{95} +(-2.86383 + 7.15156i) q^{96} +(-7.43998 + 16.7105i) q^{97} +(-0.626819 - 8.88528i) q^{98} +(-0.991958 - 3.66716i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9}+O(q^{10}) \) 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9	\( 640 q - 15 q^{2} - 3 q^{4} - 15 q^{6} - 78 q^{9} - 4 q^{12} - 20 q^{13} - 12 q^{14} - 19 q^{16} - 10 q^{17} - 45 q^{20} - 15 q^{22} - 15 q^{24} + 104 q^{25} - 20 q^{26} - 15 q^{28} - 10 q^{29} + 45 q^{30} - 24 q^{33} + 4 q^{36} - 18 q^{37} - 14 q^{38} - 20 q^{40} - 30 q^{41} - 13 q^{42} - 108 q^{45} - 15 q^{46} + 35 q^{48} - 74 q^{49} - 90 q^{50} + 15 q^{52} - 8 q^{53} + 50 q^{56} + 27 q^{58} - 10 q^{61} - 5 q^{62} - 84 q^{64} - 146 q^{66} - 70 q^{68} - 26 q^{69} - 15 q^{72} - 55 q^{74} + 44 q^{77} + 24 q^{78} - 39 q^{80} + 30 q^{81} - 29 q^{82} + 30 q^{84} - 30 q^{85} - 75 q^{88} - 24 q^{89} + 30 q^{90} + 14 q^{92} + 66 q^{93} - 5 q^{94} - 30 q^{97}+O(q^{100}) \) 640 * q - 15 * q^2 - 3 * q^4 - 15 * q^6 - 78 * q^9 - 4 * q^12 - 20 * q^13 - 12 * q^14 - 19 * q^16 - 10 * q^17 - 45 * q^20 - 15 * q^22 - 15 * q^24 + 104 * q^25 - 20 * q^26 - 15 * q^28 - 10 * q^29 + 45 * q^30 - 24 * q^33 + 4 * q^36 - 18 * q^37 - 14 * q^38 - 20 * q^40 - 30 * q^41 - 13 * q^42 - 108 * q^45 - 15 * q^46 + 35 * q^48 - 74 * q^49 - 90 * q^50 + 15 * q^52 - 8 * q^53 + 50 * q^56 + 27 * q^58 - 10 * q^61 - 5 * q^62 - 84 * q^64 - 146 * q^66 - 70 * q^68 - 26 * q^69 - 15 * q^72 - 55 * q^74 + 44 * q^77 + 24 * q^78 - 39 * q^80 + 30 * q^81 - 29 * q^82 + 30 * q^84 - 30 * q^85 - 75 * q^88 - 24 * q^89 + 30 * q^90 + 14 * q^92 + 66 * q^93 - 5 * q^94 - 30 * q^97

Introduction

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