LMFDB - Embedded newform 572.2.bk.a.31.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [572,2,Mod(31,572)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(572, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 12, 15]))

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

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

chi := DirichletCharacter("572.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 572 = 2^{2} \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	572.bk (of order $20$, 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 $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			31.15
Character	$\chi$	$=$	572.31
Dual form			572.2.bk.a.203.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.19654 + 0.753844i) q^{2} +(1.53446 + 2.11200i) q^{3} +(0.863437 - 1.80402i) q^{4} +(3.64099 + 1.85518i) q^{5} +(-3.42817 - 1.37036i) q^{6} +(-0.0406960 + 0.00644561i) q^{7} +(0.326806 + 2.80948i) q^{8} +(-1.17893 + 3.62839i) q^{9} +O(q^{10})$	\(q+(-1.19654 + 0.753844i) q^{2} +(1.53446 + 2.11200i) q^{3} +(0.863437 - 1.80402i) q^{4} +(3.64099 + 1.85518i) q^{5} +(-3.42817 - 1.37036i) q^{6} +(-0.0406960 + 0.00644561i) q^{7} +(0.326806 + 2.80948i) q^{8} +(-1.17893 + 3.62839i) q^{9} +(-5.75512 + 0.524938i) q^{10} +(-3.10888 - 1.15537i) q^{11} +(5.13499 - 0.944608i) q^{12} +(3.59420 - 0.285881i) q^{13} +(0.0438356 - 0.0383909i) q^{14} +(1.66881 + 10.5365i) q^{15} +(-2.50895 - 3.11531i) q^{16} +(-6.18131 + 2.00843i) q^{17} +(-1.32459 - 5.23026i) q^{18} +(-0.957301 - 0.151622i) q^{19} +(6.49054 - 4.96658i) q^{20} +(-0.0760595 - 0.0760595i) q^{21} +(4.59088 - 0.961162i) q^{22} +1.50968 q^{23} +(-5.43216 + 5.00125i) q^{24} +(6.87621 + 9.46429i) q^{25} +(-4.08511 + 3.05154i) q^{26} +(-2.02377 + 0.657562i) q^{27} +(-0.0235105 + 0.0789816i) q^{28} +(-3.53950 - 2.57160i) q^{29} +(-9.93967 - 11.3493i) q^{30} +(9.11582 - 4.64474i) q^{31} +(5.35053 + 1.83625i) q^{32} +(-2.33031 - 8.33882i) q^{33} +(5.88217 - 7.06293i) q^{34} +(-0.160132 - 0.0520299i) q^{35} +(5.52774 + 5.25970i) q^{36} +(-1.04941 - 6.62571i) q^{37} +(1.25975 - 0.540234i) q^{38} +(6.11893 + 7.15228i) q^{39} +(-4.02219 + 10.8356i) q^{40} +(0.291667 - 1.84151i) q^{41} +(0.148346 + 0.0336715i) q^{42} +7.90085 q^{43} +(-4.76862 + 4.61088i) q^{44} +(-11.0238 + 11.0238i) q^{45} +(-1.80640 + 1.13806i) q^{46} +(-0.523844 + 3.30742i) q^{47} +(2.72966 - 10.0792i) q^{48} +(-6.65578 + 2.16259i) q^{49} +(-15.3623 - 6.14086i) q^{50} +(-13.7268 - 9.97309i) q^{51} +(2.58763 - 6.73084i) q^{52} +(-0.451993 + 1.39109i) q^{53} +(1.92583 - 2.31241i) q^{54} +(-9.17599 - 9.97421i) q^{55} +(-0.0314086 - 0.112228i) q^{56} +(-1.14871 - 2.25448i) q^{57} +(6.17376 + 0.408799i) q^{58} +(-12.2252 + 1.93628i) q^{59} +(20.4489 + 6.08702i) q^{60} +(2.27670 + 7.00695i) q^{61} +(-7.40608 + 12.4296i) q^{62} +(0.0245907 - 0.155260i) q^{63} +(-7.78640 + 1.83631i) q^{64} +(13.6168 + 5.62699i) q^{65} +(9.07449 + 8.22108i) q^{66} +(-4.03522 - 4.03522i) q^{67} +(-1.71394 + 12.8853i) q^{68} +(2.31654 + 3.18845i) q^{69} +(0.230827 - 0.0584582i) q^{70} +(0.711130 - 1.39567i) q^{71} +(-10.5792 - 2.12642i) q^{72} +(-1.61118 - 10.1726i) q^{73} +(6.25042 + 7.13686i) q^{74} +(-9.43734 + 29.0451i) q^{75} +(-1.10010 + 1.59607i) q^{76} +(0.133966 + 0.0269802i) q^{77} +(-12.7133 - 3.94530i) q^{78} +(-3.40321 - 1.10577i) q^{79} +(-3.35562 - 15.9974i) q^{80} +(4.76531 + 3.46220i) q^{81} +(1.03922 + 2.42332i) q^{82} +(6.15888 - 12.0875i) q^{83} +(-0.202885 + 0.0715400i) q^{84} +(-26.2321 - 4.15476i) q^{85} +(-9.45371 + 5.95601i) q^{86} -11.4214i q^{87} +(2.22998 - 9.11192i) q^{88} +(-1.71999 - 1.71999i) q^{89} +(4.88024 - 21.5007i) q^{90} +(-0.144427 + 0.0348010i) q^{91} +(1.30352 - 2.72349i) q^{92} +(23.7976 + 12.1255i) q^{93} +(-1.86648 - 4.35237i) q^{94} +(-3.20424 - 2.32802i) q^{95} +(4.33201 + 14.1180i) q^{96} +(2.10995 + 4.14100i) q^{97} +(6.33368 - 7.60506i) q^{98} +(7.85729 - 9.91812i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q - 6 q^{2} - 12 q^{5} - 14 q^{6} - 6 q^{8} + 120 q^{9}+O(q^{10}) $ 640 * q - 6 * q^2 - 12 * q^5 - 14 * q^6 - 6 * q^8 + 120 * q^9	$ 640 q - 6 q^{2} - 12 q^{5} - 14 q^{6} - 6 q^{8} + 120 q^{9} - 12 q^{13} + 4 q^{14} - 36 q^{16} - 10 q^{18} - 60 q^{20} - 56 q^{21} - 44 q^{22} - 14 q^{24} + 26 q^{26} - 14 q^{28} - 24 q^{29} - 16 q^{32} - 28 q^{33} + 12 q^{34} - 12 q^{37} + 4 q^{40} - 36 q^{41} - 8 q^{42} + 26 q^{44} - 16 q^{45} - 50 q^{46} + 48 q^{48} + 36 q^{50} - 52 q^{52} - 40 q^{53} + 116 q^{54} - 36 q^{57} - 70 q^{58} + 52 q^{60} - 8 q^{61} - 48 q^{65} - 228 q^{66} - 44 q^{68} - 68 q^{70} - 38 q^{72} - 12 q^{73} - 12 q^{74} + 108 q^{76} + 108 q^{78} + 62 q^{80} - 168 q^{81} - 36 q^{84} - 52 q^{85} - 62 q^{86} + 16 q^{89} - 80 q^{92} - 4 q^{93} - 124 q^{94} - 132 q^{96} - 4 q^{97} - 108 q^{98}+O(q^{100}) $ 640 * q - 6 * q^2 - 12 * q^5 - 14 * q^6 - 6 * q^8 + 120 * q^9 - 12 * q^13 + 4 * q^14 - 36 * q^16 - 10 * q^18 - 60 * q^20 - 56 * q^21 - 44 * q^22 - 14 * q^24 + 26 * q^26 - 14 * q^28 - 24 * q^29 - 16 * q^32 - 28 * q^33 + 12 * q^34 - 12 * q^37 + 4 * q^40 - 36 * q^41 - 8 * q^42 + 26 * q^44 - 16 * q^45 - 50 * q^46 + 48 * q^48 + 36 * q^50 - 52 * q^52 - 40 * q^53 + 116 * q^54 - 36 * q^57 - 70 * q^58 + 52 * q^60 - 8 * q^61 - 48 * q^65 - 228 * q^66 - 44 * q^68 - 68 * q^70 - 38 * q^72 - 12 * q^73 - 12 * q^74 + 108 * q^76 + 108 * q^78 + 62 * q^80 - 168 * q^81 - 36 * q^84 - 52 * q^85 - 62 * q^86 + 16 * q^89 - 80 * q^92 - 4 * q^93 - 124 * q^94 - 132 * q^96 - 4 * q^97 - 108 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$287$	$353$	$365$
$\chi(n)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{3}{5}\right)$

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 $

$2$	−1.19654	+	0.753844i	−0.846085	+	0.533048i
$2$	−1.19654	+	0.753844i	−0.846085	+	0.533048i
$3$	1.53446	+	2.11200i	0.885920	+	1.21936i	0.974746	+	0.223317i	$0.0716886\pi$
$3$	1.53446	+	2.11200i	0.885920	+	1.21936i	−0.0888256	+	0.996047i	$0.528311\pi$
$4$	0.863437	−	1.80402i	0.431719	−	0.902008i
$5$	3.64099	+	1.85518i	1.62830	+	0.829661i	0.998604	+	0.0528203i	$0.0168210\pi$
$5$	3.64099	+	1.85518i	1.62830	+	0.829661i	0.629697	+	0.776841i	$0.283179\pi$
$6$	−3.42817	−	1.37036i	−1.39954	−	0.559447i
$7$	−0.0406960	+	0.00644561i	−0.0153816	+	0.00243621i	−0.164121	−	0.986440i	$-0.552479\pi$
$7$	−0.0406960	+	0.00644561i	−0.0153816	+	0.00243621i	0.148739	+	0.988877i	$0.452479\pi$
$8$	0.326806	+	2.80948i	0.115543	+	0.993302i
$9$	−1.17893	+	3.62839i	−0.392978	+	1.20946i
$10$	−5.75512	+	0.524938i	−1.81993	+	0.166000i
$11$	−3.10888	−	1.15537i	−0.937362	−	0.348356i
$11$	−3.10888	−	1.15537i	−0.937362	−	0.348356i
$12$	5.13499	−	0.944608i	1.48235	−	0.272685i
$13$	3.59420	−	0.285881i	0.996852	−	0.0792890i
$13$	3.59420	−	0.285881i	0.996852	−	0.0792890i
$14$	0.0438356	−	0.0383909i	0.0117156	−	0.0102604i
$15$	1.66881	+	10.5365i	0.430886	+	2.72051i
$16$	−2.50895	−	3.11531i	−0.627238	−	0.778828i
$17$	−6.18131	+	2.00843i	−1.49919	+	0.487116i	−0.939781	−	0.341777i	$-0.888971\pi$
$17$	−6.18131	+	2.00843i	−1.49919	+	0.487116i	−0.559408	+	0.828893i	$0.688971\pi$
$18$	−1.32459	−	5.23026i	−0.312209	−	1.23278i
$19$	−0.957301	−	0.151622i	−0.219620	−	0.0347844i	0.0456547	−	0.998957i	$-0.485463\pi$
$19$	−0.957301	−	0.151622i	−0.219620	−	0.0347844i	−0.265275	+	0.964173i	$0.585463\pi$
$20$	6.49054	−	4.96658i	1.45133	−	1.11056i
$21$	−0.0760595	−	0.0760595i	−0.0165975	−	0.0165975i
$22$	4.59088	−	0.961162i	0.978779	−	0.204920i
$23$	1.50968			0.314790			0.157395	−	0.987536i	$-0.449690\pi$
$23$	1.50968			0.314790			0.157395	+	0.987536i	$0.449690\pi$
$24$	−5.43216	+	5.00125i	−1.10884	+	1.02088i
$25$	6.87621	+	9.46429i	1.37524	+	1.89286i
$26$	−4.08511	+	3.05154i	−0.801156	+	0.598455i
$27$	−2.02377	+	0.657562i	−0.389474	+	0.126548i
$28$	−0.0235105	+	0.0789816i	−0.00444306	+	0.0149261i
$29$	−3.53950	−	2.57160i	−0.657269	−	0.477534i	0.208471	−	0.978029i	$-0.433151\pi$
$29$	−3.53950	−	2.57160i	−0.657269	−	0.477534i	−0.865740	+	0.500495i	$0.833151\pi$
$30$	−9.93967	−	11.3493i	−1.81473	−	2.07210i
$31$	9.11582	−	4.64474i	1.63725	−	0.834221i	0.639387	−	0.768885i	$-0.279188\pi$
$31$	9.11582	−	4.64474i	1.63725	−	0.834221i	0.997863	−	0.0653358i	$-0.0208118\pi$
$32$	5.35053	+	1.83625i	0.945849	+	0.324606i
$33$	−2.33031	−	8.33882i	−0.405655	−	1.45160i
$34$	5.88217	−	7.06293i	1.00878	−	1.21128i
$35$	−0.160132	−	0.0520299i	−0.0270672	−	0.00879466i
$36$	5.52774	+	5.25970i	0.921289	+	0.876617i
$37$	−1.04941	−	6.62571i	−0.172522	−	1.08926i	−0.910219	−	0.414128i	$-0.864087\pi$
$37$	−1.04941	−	6.62571i	−0.172522	−	1.08926i	0.737697	−	0.675132i	$-0.235913\pi$
$38$	1.25975	−	0.540234i	0.204359	−	0.0876375i
$39$	6.11893	+	7.15228i	0.979813	+	1.14528i
$40$	−4.02219	+	10.8356i	−0.635965	+	1.71326i
$41$	0.291667	−	1.84151i	0.0455507	−	0.287596i	−0.954389	−	0.298565i	$-0.903492\pi$
$41$	0.291667	−	1.84151i	0.0455507	−	0.287596i	0.999940	+	0.0109699i	$0.00349189\pi$
$42$	0.148346	+	0.0336715i	0.0228902	+	0.00519563i
$43$	7.90085			1.20487			0.602434	−	0.798169i	$-0.294198\pi$
$43$	7.90085			1.20487			0.602434	+	0.798169i	$0.294198\pi$
$44$	−4.76862	+	4.61088i	−0.718897	+	0.695116i
$45$	−11.0238	+	11.0238i	−1.64333	+	1.64333i
$46$	−1.80640	+	1.13806i	−0.266339	+	0.167798i
$47$	−0.523844	+	3.30742i	−0.0764105	+	0.482437i	0.919574	+	0.392916i	$0.128534\pi$
$47$	−0.523844	+	3.30742i	−0.0764105	+	0.482437i	−0.995985	+	0.0895210i	$0.971466\pi$
$48$	2.72966	−	10.0792i	0.393992	−	1.45481i
$49$	−6.65578	+	2.16259i	−0.950826	+	0.308942i
$50$	−15.3623	−	6.14086i	−2.17256	−	0.868448i
$51$	−13.7268	−	9.97309i	−1.92213	−	1.39651i
$52$	2.58763	−	6.73084i	0.358840	−	0.933399i
$53$	−0.451993	+	1.39109i	−0.0620860	+	0.191081i	−0.977288	−	0.211913i	$-0.932031\pi$
$53$	−0.451993	+	1.39109i	−0.0620860	+	0.191081i	0.915202	+	0.402994i	$0.132031\pi$
$54$	1.92583	−	2.31241i	0.262072	−	0.314679i
$55$	−9.17599	−	9.97421i	−1.23729	−	1.34492i
$56$	−0.0314086	−	0.112228i	−0.00419714	−	0.0149971i
$57$	−1.14871	−	2.25448i	−0.152151	−	0.298613i
$58$	6.17376	+	0.408799i	0.810654	+	0.0536779i
$59$	−12.2252	+	1.93628i	−1.59158	+	0.252082i	−0.888450	−	0.458974i	$-0.848217\pi$
$59$	−12.2252	+	1.93628i	−1.59158	+	0.252082i	−0.703135	+	0.711057i	$0.748217\pi$
$60$	20.4489	+	6.08702i	2.63994	+	0.785831i
$61$	2.27670	+	7.00695i	0.291501	+	0.897148i	0.984374	+	0.176088i	$0.0563445\pi$
$61$	2.27670	+	7.00695i	0.291501	+	0.897148i	−0.692873	+	0.721059i	$0.743656\pi$
$62$	−7.40608	+	12.4296i	−0.940573	+	1.57856i
$63$	0.0245907	−	0.155260i	0.00309814	−	0.0195609i
$64$	−7.78640	+	1.83631i	−0.973299	+	0.229539i
$65$	13.6168	+	5.62699i	1.68896	+	0.697943i
$66$	9.07449	+	8.22108i	1.11699	+	1.01194i
$67$	−4.03522	−	4.03522i	−0.492981	−	0.492981i	0.416263	−	0.909244i	$-0.363339\pi$
$67$	−4.03522	−	4.03522i	−0.492981	−	0.492981i	−0.909244	+	0.416263i	$0.863339\pi$
$68$	−1.71394	+	12.8853i	−0.207845	+	1.56258i
$69$	2.31654	+	3.18845i	0.278879	+	0.383844i
$70$	0.230827	−	0.0584582i	0.0275891	−	0.00698709i
$71$	0.711130	−	1.39567i	0.0843956	−	0.165636i	−0.844951	−	0.534843i	$-0.820371\pi$
$71$	0.711130	−	1.39567i	0.0843956	−	0.165636i	0.929347	+	0.369207i	$0.120371\pi$
$72$	−10.5792	−	2.12642i	−1.24677	−	0.250601i
$73$	−1.61118	−	10.1726i	−0.188574	−	1.19061i	−0.882412	−	0.470478i	$-0.844082\pi$
$73$	−1.61118	−	10.1726i	−0.188574	−	1.19061i	0.693838	−	0.720131i	$-0.255918\pi$
$74$	6.25042	+	7.13686i	0.726596	+	0.829643i
$75$	−9.43734	+	29.0451i	−1.08973	+	3.35384i
$76$	−1.10010	+	1.59607i	−0.126190	+	0.183082i
$77$	0.133966	+	0.0269802i	0.0152668	+	0.00307468i
$78$	−12.7133	−	3.94530i	−1.43950	−	0.446718i
$79$	−3.40321	−	1.10577i	−0.382891	−	0.124409i	0.111246	−	0.993793i	$-0.464516\pi$
$79$	−3.40321	−	1.10577i	−0.382891	−	0.124409i	−0.494137	+	0.869384i	$0.664516\pi$
$80$	−3.35562	−	15.9974i	−0.375169	−	1.78856i
$81$	4.76531	+	3.46220i	0.529479	+	0.384689i
$82$	1.03922	+	2.42332i	0.114763	+	0.267611i
$83$	6.15888	−	12.0875i	0.676025	−	1.32677i	−0.256808	−	0.966463i	$-0.582671\pi$
$83$	6.15888	−	12.0875i	0.676025	−	1.32677i	0.932832	−	0.360311i	$-0.117329\pi$
$84$	−0.202885	+	0.0715400i	−0.0221366	+	0.00780565i
$85$	−26.2321	−	4.15476i	−2.84527	−	0.450647i
$86$	−9.45371	+	5.95601i	−1.01942	+	0.642253i
$87$		−	11.4214i		−	1.22451i
$88$	2.22998	−	9.11192i	0.237717	−	0.971334i
$89$	−1.71999	−	1.71999i	−0.182318	−	0.182318i	0.610047	−	0.792365i	$-0.291151\pi$
$89$	−1.71999	−	1.71999i	−0.182318	−	0.182318i	−0.792365	+	0.610047i	$0.791151\pi$
$90$	4.88024	−	21.5007i	0.514422	−	2.26637i
$91$	−0.144427	+	0.0348010i	−0.0151401	+	0.00364814i
$92$	1.30352	−	2.72349i	0.135901	−	0.283943i
$93$	23.7976	+	12.1255i	2.46769	+	1.25735i
$94$	−1.86648	−	4.35237i	−0.192512	−	0.448913i
$95$	−3.20424	−	2.32802i	−0.328748	−	0.238849i
$96$	4.33201	+	14.1180i	0.442134	+	1.44091i
$97$	2.10995	+	4.14100i	0.214232	+	0.420455i	0.972967	−	0.230945i	$-0.0741819\pi$
$97$	2.10995	+	4.14100i	0.214232	+	0.420455i	−0.758734	+	0.651400i	$0.774182\pi$
$98$	6.33368	−	7.60506i	0.639798	−	0.768227i
$99$	7.85729	−	9.91812i	0.789687	−	0.996808i
$100$	23.0109	−	4.23297i	2.30109	−	0.423297i
$101$	0.954937	+	0.310278i	0.0950198	+	0.0308738i	0.356141	−	0.934432i	$-0.384092\pi$
$101$	0.954937	+	0.310278i	0.0950198	+	0.0308738i	−0.261121	+	0.965306i	$0.584092\pi$
$102$	23.9429	+	1.58539i	2.37070	+	0.156977i
$103$	−6.33112	−	4.59983i	−0.623824	−	0.453235i	0.230431	−	0.973089i	$-0.425986\pi$
$103$	−6.33112	−	4.59983i	−0.623824	−	0.453235i	−0.854255	+	0.519854i	$0.825986\pi$
$104$	1.97778	+	10.0044i	0.193938	+	0.981014i
$105$	−0.135828	−	0.418036i	−0.0132555	−	0.0407961i
$106$	−0.507836	−	2.00523i	−0.0493254	−	0.194766i
$107$	5.22926	+	7.19746i	0.505532	+	0.695805i	0.983158	−	0.182758i	$-0.0585026\pi$
$107$	5.22926	+	7.19746i	0.505532	+	0.695805i	−0.477626	+	0.878563i	$0.658503\pi$
$108$	−0.561144	+	4.21867i	−0.0539961	+	0.405942i
$109$	−0.0639583	+	0.0639583i	−0.00612610	+	0.00612610i	−0.710163	−	0.704037i	$-0.751379\pi$
$109$	−0.0639583	+	0.0639583i	−0.00612610	+	0.00612610i	0.704037	+	0.710163i	$0.251379\pi$
$110$	18.4985	+	5.01732i	1.76376	+	0.478382i
$111$	12.3832	−	12.3832i	1.17536	−	1.17536i
$112$	0.122184	+	0.110609i	0.0115453	+	0.0104516i
$113$	12.6186	−	9.16793i	1.18706	−	0.862446i	0.194105	−	0.980981i	$-0.437820\pi$
$113$	12.6186	−	9.16793i	1.18706	−	0.862446i	0.992950	+	0.118535i	$0.0378196\pi$
$114$	3.07401	+	1.83163i	0.287908	+	0.171548i
$115$	5.49674	+	2.80073i	0.512573	+	0.261169i
$116$	−7.69535	+	4.16491i	−0.714495	+	0.386702i
$117$	−3.20004	+	13.3782i	−0.295844	+	1.23681i
$118$	13.1683	−	11.5327i	1.21224	−	1.06167i
$119$	0.238609	−	0.121577i	0.0218733	−	0.0111450i
$120$	−29.0567	+	8.13189i	−2.65250	+	0.742337i
$121$	8.33025	+	7.18379i	0.757296	+	0.653072i
$122$	−8.00632	−	6.66785i	−0.724858	−	0.603679i
$123$	4.33682	−	2.20972i	0.391038	−	0.199244i
$124$	−0.508251	−	20.4555i	−0.0456423	−	1.83696i
$125$	4.28203	+	27.0357i	0.382996	+	2.41814i
$126$	0.0876178	+	0.204313i	0.00780562	+	0.0182016i
$127$	−0.0906491	−	0.278989i	−0.00804380	−	0.0247563i	0.946954	−	0.321369i	$-0.104143\pi$
$127$	−0.0906491	−	0.278989i	−0.00804380	−	0.0247563i	−0.954998	+	0.296613i	$0.904143\pi$
$128$	7.93247	−	8.06696i	0.701138	−	0.713025i
$129$	12.1235	+	16.6866i	1.06742	+	1.46917i
$130$	−20.5350	+	3.53201i	−1.80104	+	0.309778i
$131$			3.68195i			0.321693i	0.986979	+	0.160847i	$0.0514225\pi$
$131$			3.68195i			0.321693i	−0.986979	+	0.160847i	$0.948578\pi$
$132$	−17.0554	−	2.99613i	−1.48449	−	0.260780i
$133$	0.0399356			0.00346286
$134$	7.87025	+	1.78639i	0.679886	+	0.154321i
$135$	−8.58842	−	1.36027i	−0.739173	−	0.117074i
$136$	−7.66275	−	16.7099i	−0.657075	−	1.43286i
$137$	2.63799	−	5.17735i	0.225379	−	0.442331i	−0.750432	−	0.660948i	$-0.770154\pi$
$137$	2.63799	−	5.17735i	0.225379	−	0.442331i	0.975811	+	0.218617i	$0.0701545\pi$
$138$	−5.17544	−	2.06881i	−0.440563	−	0.176109i
$139$	0.100033	−	0.137684i	0.00848469	−	0.0116782i	−0.804754	−	0.593609i	$-0.797703\pi$
$139$	0.100033	−	0.137684i	0.00848469	−	0.0116782i	0.813238	+	0.581931i	$0.197703\pi$
$140$	−0.232126	+	0.243955i	−0.0196183	+	0.0206180i
$141$	−7.78909	+	3.96874i	−0.655960	+	0.334228i
$142$	0.201220	+	2.20606i	0.0168860	+	0.185129i
$143$	−11.5042	−	3.26385i	−0.962032	−	0.272937i
$144$	14.2614	−	5.43070i	1.18845	−	0.452558i
$145$	−8.11653	−	15.9296i	−0.674041	−	1.32288i
$146$	9.59638	+	10.9574i	0.794202	+	0.906837i
$147$	−14.7804	−	10.7386i	−1.21907	−	0.885705i
$148$	−12.8590	−	3.82773i	−1.05700	−	0.314638i
$149$	−7.84555	−	3.99751i	−0.642733	−	0.327489i	0.102066	−	0.994778i	$-0.467455\pi$
$149$	−7.84555	−	3.99751i	−0.642733	−	0.327489i	−0.744799	+	0.667289i	$0.767455\pi$
$150$	−10.6033	−	41.8681i	−0.865757	−	3.41851i
$151$	2.05469	−	12.9728i	0.167208	−	1.05571i	−0.751199	−	0.660076i	$-0.770524\pi$
$151$	2.05469	−	12.9728i	0.167208	−	1.05571i	0.918407	−	0.395636i	$-0.129476\pi$
$152$	0.113126	−	2.73907i	0.00917576	−	0.222168i
$153$		−	24.7960i		−	2.00464i
$154$	−0.180635	+	0.0687065i	−0.0145560	+	0.00553653i
$155$	41.8075			3.35806
$156$	18.1862	−	4.86310i	1.45606	−	0.389360i
$157$	−13.3479	+	9.69781i	−1.06528	+	0.773969i	−0.975057	−	0.221952i	$-0.928757\pi$
$157$	−13.3479	+	9.69781i	−1.06528	+	0.773969i	−0.0902200	+	0.995922i	$0.528757\pi$
$158$	4.90567	−	1.24239i	0.390274	−	0.0988391i
$159$	−3.63155	+	1.17996i	−0.288001	+	0.0935771i
$160$	16.0747	+	16.6120i	1.27081	+	1.31329i
$161$	−0.0614380	+	0.00973082i	−0.00484199	+	0.000766896i
$162$	−8.31187	−	0.550375i	−0.653042	−	0.0432416i
$163$	−0.463075	−	0.908836i	−0.0362708	−	0.0711855i	0.872160	−	0.489221i	$-0.162719\pi$
$163$	−0.463075	−	0.908836i	−0.0362708	−	0.0711855i	−0.908431	+	0.418035i	$0.862719\pi$
$164$	−3.07028	−	2.11620i	−0.239748	−	0.165247i
$165$	6.98536	−	34.6847i	0.543810	−	2.70020i
$166$	1.74271	+	19.1060i	0.135260	+	1.48292i
$167$	6.97327	+	13.6858i	0.539608	+	1.05904i	0.986394	+	0.164400i	$0.0525687\pi$
$167$	6.97327	+	13.6858i	0.539608	+	1.05904i	−0.446786	+	0.894641i	$0.647431\pi$
$168$	0.188831	−	0.238545i	0.0145686	−	0.0184041i
$169$	12.8365	−	2.05502i	0.987427	−	0.158079i
$170$	34.5199	−	14.8036i	2.64756	−	1.13538i
$171$	1.67874	−	3.29471i	0.128376	−	0.251953i
$172$	6.82189	−	14.2533i	0.520164	−	1.08680i
$173$	2.55935	+	3.52264i	0.194583	+	0.267821i	0.895149	−	0.445767i	$-0.147069\pi$
$173$	2.55935	+	3.52264i	0.194583	+	0.267821i	−0.700566	+	0.713588i	$0.747069\pi$
$174$	8.60999	+	13.6663i	0.652722	+	1.03604i
$175$	−0.340838	−	0.340838i	−0.0257649	−	0.0257649i
$176$	4.20070	+	12.5839i	0.316639	+	0.948546i
$177$	−22.8485	−	22.8485i	−1.71740	−	1.71740i
$178$	3.35465	+	0.761439i	0.251441	+	0.0570723i
$179$	1.65232	−	1.20048i	0.123500	−	0.0897281i	−0.524321	−	0.851521i	$-0.675681\pi$
$179$	1.65232	−	1.20048i	0.123500	−	0.0897281i	0.647821	+	0.761793i	$0.275681\pi$
$180$	10.3688	+	29.4055i	0.772841	+	2.19175i
$181$	−2.07388	+	0.673845i	−0.154150	+	0.0500865i	−0.385076	−	0.922885i	$-0.625825\pi$
$181$	−2.07388	+	0.673845i	−0.154150	+	0.0500865i	0.230925	+	0.972971i	$0.425825\pi$
$182$	0.146579	−	0.150516i	0.0108651	−	0.0111570i
$183$	−11.3052	+	15.5603i	−0.835704	+	1.15025i
$184$	0.493373	+	4.24142i	0.0363720	+	0.312682i
$185$	8.47098	−	26.0710i	0.622799	−	1.91678i
$186$	−37.6156	+	3.43100i	−2.75811	+	0.251573i
$187$	21.5374	+	0.897722i	1.57497	+	0.0656479i
$188$	5.51433	+	3.80077i	0.402174	+	0.277200i
$189$	0.0781209	−	0.0398046i	0.00568246	−	0.00289536i
$190$	5.58898	+	0.370077i	0.405467	+	0.0268482i
$191$	−3.49666	+	4.81274i	−0.253009	+	0.348238i	−0.916562	−	0.399892i	$-0.869048\pi$
$191$	−3.49666	+	4.81274i	−0.253009	+	0.348238i	0.663553	+	0.748129i	$0.269048\pi$
$192$	−15.8262	−	13.6271i	−1.14216	−	0.983453i
$193$	9.50974	−	18.6639i	0.684526	−	1.34346i	−0.243119	−	0.969996i	$-0.578171\pi$
$193$	9.50974	−	18.6639i	0.684526	−	1.34346i	0.927646	−	0.373462i	$-0.121829\pi$
$194$	−5.64631	−	3.36432i	−0.405382	−	0.241544i
$195$	9.01022	+	37.3931i	0.645235	+	2.67778i
$196$	−1.84549	+	13.8744i	−0.131821	+	0.991029i
$197$	−0.247090	+	0.247090i	−0.0176044	+	0.0176044i	−0.715854	−	0.698250i	$-0.753962\pi$
$197$	−0.247090	+	0.247090i	−0.0176044	+	0.0176044i	0.698250	+	0.715854i	$0.253962\pi$
$198$	−1.92488	+	17.7906i	−0.136795	+	1.26433i
$199$	−14.9254			−1.05803			−0.529017	−	0.848611i	$-0.677439\pi$
$199$	−14.9254			−1.05803			−0.529017	+	0.848611i	$0.677439\pi$
$200$	−24.3426	+	22.4116i	−1.72128	+	1.58474i
$201$	2.33051	−	14.7143i	0.164382	−	1.03787i
$202$	−1.37653	+	0.348613i	−0.0968521	+	0.0245283i
$203$	0.160619	+	0.0818395i	0.0112733	+	0.00574401i
$204$	−29.8438	+	16.1522i	−2.08949	+	1.13088i
$205$	4.47828	−	6.16383i	0.312777	−	0.430501i
$206$	11.0430	+	0.731220i	0.769404	+	0.0509465i
$207$	−1.77982	+	5.47771i	−0.123706	+	0.380727i
$208$	−9.90828	−	10.4798i	−0.687016	−	0.726643i
$209$	2.80095	+	1.57741i	0.193746	+	0.109112i
$210$	0.477658	+	0.397805i	0.0329616	+	0.0274512i
$211$	3.75784	+	1.22100i	0.258701	+	0.0840569i	0.435496	−	0.900191i	$-0.356573\pi$
$211$	3.75784	+	1.22100i	0.258701	+	0.0840569i	−0.176795	+	0.984248i	$0.556573\pi$
$212$	2.11928	+	2.01652i	0.145553	+	0.138495i
$213$	4.03886	−	0.639692i	0.276738	−	0.0438310i
$214$	−11.6828	−	4.67003i	−0.798620	−	0.319237i
$215$	28.7669	+	14.6575i	1.96189	+	0.999632i
$216$	−2.50879	−	5.47085i	−0.170702	−	0.372244i
$217$	−0.341039	+	0.247780i	−0.0231513	+	0.0168204i
$218$	0.0283144	−	0.124744i	0.00191769	−	0.00844871i
$219$	19.0122	−	19.0122i	1.28472	−	1.28472i
$220$	−25.9165	+	7.94153i	−1.74729	+	0.535418i
$221$	−21.6427	+	8.98582i	−1.45585	+	0.604452i
$222$	−5.48206	+	24.1521i	−0.367932	+	1.62098i
$223$	−14.6968	−	2.32775i	−0.984174	−	0.155878i	−0.356450	−	0.934314i	$-0.616013\pi$
$223$	−14.6968	−	2.32775i	−0.984174	−	0.155878i	−0.627723	+	0.778436i	$0.716013\pi$
$224$	−0.229581	−	0.0402406i	−0.0153395	−	0.00268869i
$225$	−42.4467	+	13.7918i	−2.82978	+	0.919452i
$226$	−8.18749	+	20.4823i	−0.544624	+	1.36246i
$227$	0.411208	+	2.59626i	0.0272928	+	0.172320i	0.997570	−	0.0696781i	$-0.0221972\pi$
$227$	0.411208	+	2.59626i	0.0272928	+	0.172320i	−0.970277	+	0.241998i	$0.922197\pi$
$228$	−5.05896	+	0.125698i	−0.335038	+	0.00832456i
$229$	11.6253	−	5.92337i	0.768220	−	0.391428i	−0.0255282	−	0.999674i	$-0.508127\pi$
$229$	11.6253	−	5.92337i	0.768220	−	0.391428i	0.793748	+	0.608246i	$0.208127\pi$
$230$	−8.68840	+	0.792489i	−0.572896	+	0.0522552i
$231$	0.148583	+	0.324336i	0.00977605	+	0.0213398i
$232$	6.06813	−	10.7846i	0.398392	−	0.708043i
$233$	−13.4318	−	4.36426i	−0.879948	−	0.285912i	−0.166012	−	0.986124i	$-0.553089\pi$
$233$	−13.4318	−	4.36426i	−0.879948	−	0.285912i	−0.713936	+	0.700211i	$0.753089\pi$
$234$	−6.25608	−	18.4199i	−0.408973	−	1.20415i
$235$	−8.04316	+	11.0705i	−0.524678	+	0.722158i
$236$	−7.06261	+	23.7263i	−0.459737	+	1.54445i
$237$	−2.88670	−	8.88434i	−0.187511	−	0.577100i
$238$	−0.193856	+	0.325347i	−0.0125658	+	0.0210891i
$239$	12.4200	+	1.96713i	0.803380	+	0.127243i	0.544603	−	0.838694i	$-0.316680\pi$
$239$	12.4200	+	1.96713i	0.803380	+	0.127243i	0.258777	+	0.965937i	$0.416680\pi$
$240$	28.6374	−	31.6344i	1.84854	−	2.04199i
$241$	13.1511	+	13.1511i	0.847137	+	0.847137i	0.989775	−	0.142638i	$-0.0455585\pi$
$241$	13.1511	+	13.1511i	0.847137	+	0.847137i	−0.142638	+	0.989775i	$0.545559\pi$
$242$	−15.3830	−	2.31602i	−0.988855	−	0.148879i
$243$			21.7607i			1.39595i
$244$	14.6064	+	1.94287i	0.935081	+	0.124379i
$245$	−28.2456	−	4.47367i	−1.80455	−	0.285812i
$246$	−3.52341	+	5.91332i	−0.224645	+	0.377019i
$247$	−3.48408	−	0.271285i	−0.221686	−	0.0172614i
$248$	16.0284	+	24.0928i	1.01781	+	1.52990i
$249$	34.9793	−	5.54018i	2.21672	−	0.351095i
$250$	−25.5043	−	29.1214i	−1.61303	−	1.84180i
$251$	5.19747	−	15.9962i	0.328061	−	1.00967i	−0.641979	−	0.766723i	$-0.721886\pi$
$251$	5.19747	−	15.9962i	0.328061	−	1.00967i	0.970040	−	0.242946i	$-0.0781138\pi$
$252$	−0.258859	−	0.178419i	−0.0163066	−	0.0112394i
$253$	−4.69342	−	1.74424i	−0.295072	−	0.109659i
$254$	0.318780	+	0.265488i	0.0200020	+	0.0166582i
$255$	−31.4772	−	61.7776i	−1.97118	−	3.86866i
$256$	−3.41033	+	15.6323i	−0.213145	+	0.977020i
$257$	−14.4511	+	19.8903i	−0.901437	+	1.24072i	0.0685698	+	0.997646i	$0.478156\pi$
$257$	−14.4511	+	19.8903i	−0.901437	+	1.24072i	−0.970007	+	0.243076i	$0.921844\pi$
$258$	−27.0854	−	10.8270i	−1.68627	−	0.674060i
$259$	0.0854135	+	0.262876i	0.00530734	+	0.0163343i
$260$	21.9085	−	19.7064i	1.35870	−	1.22214i
$261$	13.5036	−	9.81094i	0.835852	−	0.607282i
$262$	−2.77562	−	4.40561i	−0.171478	−	0.272180i
$263$			20.7892i			1.28192i	0.767575	+	0.640959i	$0.221463\pi$
$263$			20.7892i			1.28192i	−0.767575	+	0.640959i	$0.778537\pi$
$264$	22.6662	−	9.27214i	1.39501	−	0.570661i
$265$	−4.22642	+	4.22642i	−0.259627	+	0.259627i
$266$	−0.0477847	+	0.0301052i	−0.00292987	+	0.00184587i
$267$	0.993367	−	6.27187i	0.0607930	−	0.383832i
$268$	−10.7638	+	3.79545i	−0.657502	+	0.231844i
$269$	5.99386	+	18.4472i	0.365452	+	1.12475i	0.949698	+	0.313168i	$0.101390\pi$
$269$	5.99386	+	18.4472i	0.365452	+	1.12475i	−0.584246	+	0.811577i	$0.698610\pi$
$270$	11.3019	−	4.84670i	0.687809	−	0.294961i
$271$	14.0377	−	2.22335i	0.852727	−	0.135059i	0.285255	−	0.958452i	$-0.407922\pi$
$271$	14.0377	−	2.22335i	0.852727	−	0.135059i	0.567472	+	0.823393i	$0.307922\pi$
$272$	21.7655	+	14.2177i	1.31973	+	0.862072i
$273$	−0.295117	−	0.251629i	−0.0178613	−	0.0152293i
$274$	0.746442	+	8.18357i	0.0450942	+	0.494387i
$275$	−10.4426	−	37.3679i	−0.629711	−	2.25337i
$276$	7.75220	−	1.42606i	0.466628	−	0.0858385i
$277$	−18.4185	−	5.98454i	−1.10666	−	0.359576i	−0.301999	−	0.953308i	$-0.597654\pi$
$277$	−18.4185	−	5.98454i	−1.10666	−	0.359576i	−0.804663	+	0.593732i	$0.797654\pi$
$278$	−0.0159019	+	0.240154i	−0.000953734	+	0.0144035i
$279$	6.10597	+	38.5516i	0.365555	+	2.30802i
$280$	0.0938452	−	0.466891i	0.00560832	−	0.0279021i
$281$	−10.2771	+	20.1699i	−0.613078	+	1.20323i	0.350689	+	0.936492i	$0.385947\pi$
$281$	−10.2771	+	20.1699i	−0.613078	+	1.20323i	−0.963768	+	0.266742i	$0.914053\pi$
$282$	6.32818	−	10.6205i	0.376838	−	0.632444i
$283$	−21.1285	+	15.3507i	−1.25596	+	0.912506i	−0.998552	−	0.0537982i	$-0.982867\pi$
$283$	−21.1285	+	15.3507i	−1.25596	+	0.912506i	−0.257404	+	0.966304i	$0.582867\pi$
$284$	−1.90380	−	2.48796i	−0.112970	−	0.147633i
$285$		−	10.3396i		−	0.612465i
$286$	16.2258	−	4.76705i	0.959449	−	0.281882i
$287$			0.0768221i			0.00453466i
$288$	−12.9706	+	17.2490i	−0.764297	+	1.01641i
$289$	20.4216	−	14.8371i	1.20127	−	0.872773i
$290$	21.7202	+	12.9419i	1.27545	+	0.759972i
$291$	−5.50818	+	10.8104i	−0.322895	+	0.633717i
$292$	−19.7426	−	5.87679i	−1.15535	−	0.343913i
$293$	−3.79358	−	23.9517i	−0.221623	−	1.39927i	−0.807975	−	0.589217i	$-0.799436\pi$
$293$	−3.79358	−	23.9517i	−0.221623	−	1.39927i	0.586352	−	0.810057i	$-0.300564\pi$
$294$	25.7807	+	1.70708i	1.50356	+	0.0995590i
$295$	−48.1040	−	15.6299i	−2.80072	−	0.910010i
$296$	18.2719	−	5.11362i	1.06203	−	0.297223i
$297$	7.05138	+	0.293915i	0.409162	+	0.0170547i
$298$	12.4011	−	1.13113i	0.718374	−	0.0655245i
$299$	5.42610	−	0.431588i	0.313799	−	0.0249594i
$300$	44.2494	+	42.1038i	2.55474	+	2.43086i
$301$	−0.321533	+	0.0509258i	−0.0185328	+	0.00293531i
$302$	7.32094	+	17.0714i	0.421273	+	0.982351i
$303$	0.810005	+	2.49294i	0.0465335	+	0.143216i
$304$	1.92947	+	3.36270i	0.110663	+	0.192864i
$305$	−4.70971	+	29.7359i	−0.269677	+	1.70267i
$306$	18.6923	+	29.6695i	1.06857	+	1.69609i
$307$	−10.0623	+	10.0623i	−0.574289	+	0.574289i	−0.933324	−	0.359035i	$-0.883106\pi$
$307$	−10.0623	+	10.0623i	−0.574289	+	0.574289i	0.359035	+	0.933324i	$0.383106\pi$
$308$	0.164344	−	0.218381i	0.00936437	−	0.0124434i
$309$		−	20.4296i		−	1.16220i
$310$	−50.0245	+	31.5163i	−2.84120	+	1.79001i
$311$	3.12366	−	2.26947i	0.177127	−	0.128690i	−0.495689	−	0.868500i	$-0.665085\pi$
$311$	3.12366	−	2.26947i	0.177127	−	0.128690i	0.672816	+	0.739810i	$0.265085\pi$
$312$	−18.0945	+	19.5284i	−1.02440	+	1.10558i
$313$	4.84737	+	14.9187i	0.273990	+	0.843253i	0.989485	+	0.144636i	$0.0462010\pi$
$313$	4.84737	+	14.9187i	0.273990	+	0.843253i	−0.715495	+	0.698617i	$0.753799\pi$
$314$	8.66071	−	21.6661i	0.488752	−	1.22269i
$315$	0.377569	−	0.519680i	0.0212736	−	0.0292806i
$316$	−4.93329	+	5.18468i	−0.277519	+	0.291661i
$317$	−8.66673	−	17.0094i	−0.486772	−	0.955343i	−0.995531	−	0.0944346i	$-0.969896\pi$
$317$	−8.66673	−	17.0094i	−0.486772	−	0.955343i	0.508759	−	0.860909i	$-0.330104\pi$
$318$	3.45580	−	4.14950i	0.193792	−	0.232692i
$319$	8.03274	+	12.0842i	0.449747	+	0.676586i
$320$	−31.7569	−	7.75915i	−1.77526	−	0.433750i
$321$	−7.17696	+	22.0884i	−0.400579	+	1.23285i
$322$	0.0661778	−	0.0579580i	0.00368794	−	0.00322987i
$323$	6.22190	−	0.985452i	0.346196	−	0.0548320i
$324$	10.3604	−	5.60731i	0.575579	−	0.311517i
$325$	27.4201	+	32.0508i	1.52100	+	1.77786i
$326$	1.23921	+	0.738376i	0.0686335	+	0.0408949i
$327$	−0.233222	−	0.0369387i	−0.0128972	−	0.00204271i
$328$	5.26901	+	0.217615i	0.290932	+	0.0120158i
$329$		−	0.137975i		−	0.00760682i
$330$	17.7886	+	46.7677i	0.979229	+	2.57448i
$331$	−10.9543	−	10.9543i	−0.602101	−	0.602101i	0.338769	−	0.940870i	$-0.389990\pi$
$331$	−10.9543	−	10.9543i	−0.602101	−	0.602101i	−0.940870	+	0.338769i	$0.889990\pi$
$332$	−16.4882	−	21.5475i	−0.904908	−	1.18257i
$333$	25.2778	+	4.00361i	1.38522	+	0.219397i
$334$	−18.6608	−	11.1189i	−1.02107	−	0.608401i
$335$	−7.20616	−	22.1783i	−0.393714	−	1.21173i
$336$	−0.0461194	+	0.427778i	−0.00251602	+	0.0233372i
$337$	8.02738	−	11.0487i	0.437279	−	0.601864i	−0.532325	−	0.846540i	$-0.678682\pi$
$337$	8.02738	−	11.0487i	0.437279	−	0.601864i	0.969605	+	0.244676i	$0.0786817\pi$
$338$	−13.8103	+	12.1357i	−0.751183	+	0.660094i
$339$	38.7254	+	12.5826i	2.10327	+	0.683395i
$340$	−30.1450	+	43.7358i	−1.63484	+	2.37191i
$341$	−33.7064	+	3.90782i	−1.82530	+	0.211620i
$342$	0.475013	+	5.20777i	0.0256857	+	0.281604i
$343$	0.513911	−	0.261851i	0.0277486	−	0.0141386i
$344$	2.58205	+	22.1973i	0.139215	+	1.19680i
$345$	2.51938	+	15.9067i	0.135639	+	0.856389i
$346$	−5.71789	−	2.28564i	−0.307396	−	0.122877i
$347$	8.74294	−	2.84075i	0.469346	−	0.152500i	−0.0647892	−	0.997899i	$-0.520637\pi$
$347$	8.74294	−	2.84075i	0.469346	−	0.152500i	0.534135	+	0.845399i	$0.320637\pi$
$348$	−20.6045	−	9.86170i	−1.10452	−	0.528643i
$349$	6.89032	+	1.09132i	0.368830	+	0.0584170i	0.338099	−	0.941111i	$-0.390216\pi$
$349$	6.89032	+	1.09132i	0.368830	+	0.0584170i	0.0307316	+	0.999528i	$0.490216\pi$
$350$	0.664766	+	0.150889i	0.0355332	+	0.00806535i
$351$	−7.08584	+	2.94197i	−0.378214	+	0.157031i
$352$	−14.5126	−	11.8905i	−0.773525	−	0.633766i
$353$	12.6545	−	12.6545i	0.673532	−	0.673532i	−0.284996	−	0.958529i	$-0.591992\pi$
$353$	12.6545	−	12.6545i	0.673532	−	0.673532i	0.958529	+	0.284996i	$0.0919924\pi$
$354$	44.5634	+	10.1150i	2.36852	+	0.537608i
$355$	5.17844	−	3.76235i	0.274843	−	0.199685i
$356$	−4.58799	+	1.61779i	−0.243163	+	0.0857424i
$357$	0.622908	+	0.317387i	0.0329678	+	0.0167979i
$358$	−1.07210	+	2.68202i	−0.0566622	+	0.141749i
$359$	−18.0928	+	2.86562i	−0.954903	+	0.151242i	−0.614394	−	0.789000i	$-0.710599\pi$
$359$	−18.0928	+	2.86562i	−0.954903	+	0.151242i	−0.340509	+	0.940241i	$0.610599\pi$
$360$	−34.5738	−	27.3685i	−1.82220	−	1.44245i
$361$	−17.1766	−	5.58103i	−0.904034	−	0.293738i
$362$	1.97352	−	2.36967i	0.103726	−	0.124547i
$363$	−2.38975	+	28.6167i	−0.125430	+	1.50199i
$364$	−0.0619220	+	0.290597i	−0.00324559	+	0.0152314i
$365$	13.0056	−	40.0273i	0.680747	−	2.09512i
$366$	1.79715	−	27.1409i	0.0939385	−	1.41868i
$367$	13.4636	−	18.5311i	0.702796	−	0.967315i	−0.297126	−	0.954838i	$-0.596028\pi$
$367$	13.4636	−	18.5311i	0.702796	−	0.967315i	0.999922	−	0.0124772i	$-0.00397171\pi$
$368$	−3.78772	−	4.70313i	−0.197448	−	0.245167i
$369$	6.33786	+	3.22930i	0.329936	+	0.168111i
$370$	9.51756	+	37.5809i	0.494795	+	1.95374i
$371$	0.00942787	−	0.0595252i	0.000489470	−	0.00309039i
$372$	42.4222	−	32.4616i	2.19949	−	1.68306i
$373$	12.1049			0.626769			0.313385	−	0.949626i	$-0.398537\pi$
$373$	12.1049			0.626769			0.313385	+	0.949626i	$0.398537\pi$
$374$	−26.4472	+	15.1617i	−1.36755	+	0.783993i
$375$	−50.5288	+	50.5288i	−2.60929	+	2.60929i
$376$	−9.46334	−	0.390845i	−0.488034	−	0.0201563i
$377$	−13.4568	−	8.23097i	−0.693063	−	0.423916i
$378$	−0.0634687	+	0.106519i	−0.00326448	+	0.00547874i
$379$	−5.63682	+	11.0629i	−0.289544	+	0.568262i	−0.989261	−	0.146158i	$-0.953309\pi$
$379$	−5.63682	+	11.0629i	−0.289544	+	0.568262i	0.699717	+	0.714420i	$0.253309\pi$
$380$	−6.96644	+	3.77041i	−0.357371	+	0.193418i
$381$	0.450128	−	0.619548i	0.0230608	−	0.0317404i
$382$	0.555853	−	8.39460i	0.0284399	−	0.429505i
$383$	−1.82518	+	0.929977i	−0.0932624	+	0.0475196i	−0.500000	−	0.866026i	$-0.666667\pi$
$383$	−1.82518	+	0.929977i	−0.0932624	+	0.0475196i	0.406737	+	0.913545i	$0.366667\pi$
$384$	29.2095	+	4.37498i	1.49059	+	0.223260i
$385$	0.437716	+	0.346765i	0.0223081	+	0.0176728i
$386$	2.69086	+	29.5011i	0.136961	+	1.50157i
$387$	−9.31458	+	28.6673i	−0.473487	+	1.45724i
$388$	9.29224	−	0.230881i	0.471742	−	0.0117212i
$389$	5.73028	−	7.88706i	0.290537	−	0.399890i	−0.638652	−	0.769496i	$-0.720507\pi$
$389$	5.73028	−	7.88706i	0.290537	−	0.399890i	0.929188	+	0.369606i	$0.120507\pi$
$390$	−38.9697	−	37.9502i	−1.97331	−	1.92168i
$391$	−9.33181	+	3.03209i	−0.471930	+	0.153339i
$392$	−8.25092	−	17.9926i	−0.416735	−	0.908761i
$393$	−7.77628	+	5.64980i	−0.392261	+	0.284995i
$394$	0.109387	−	0.481921i	0.00551082	−	0.0242788i
$395$	−10.3397	−	10.3397i	−0.520245	−	0.520245i
$396$	−11.1082	−	22.7383i	−0.558206	−	1.14264i
$397$	24.6267	+	24.6267i	1.23598	+	1.23598i	0.961630	+	0.274349i	$0.0884624\pi$
$397$	24.6267	+	24.6267i	1.23598	+	1.23598i	0.274349	+	0.961630i	$0.411538\pi$
$398$	17.8589	−	11.2514i	0.895187	−	0.563984i
$399$	0.0612795	+	0.0843441i	0.00306781	+	0.00422248i
$400$	12.2321	−	45.1670i	0.611607	−	2.25835i
$401$	8.78449	−	17.2405i	0.438677	−	0.860951i	−0.560779	−	0.827965i	$-0.689498\pi$
$401$	8.78449	−	17.2405i	0.438677	−	0.860951i	0.999456	−	0.0329859i	$-0.0105016\pi$
$402$	8.30371	+	19.3631i	0.414152	+	0.965745i
$403$	31.4363	−	19.3002i	1.56595	−	0.961410i
$404$	1.38428	−	1.45482i	0.0688703	−	0.0723799i
$405$	10.9275	+	21.4464i	0.542990	+	1.06568i
$406$	−0.253882	+	0.0231572i	−0.0126000	+	0.00114927i
$407$	−4.39264	+	21.8110i	−0.217735	+	1.08113i
$408$	23.5332	−	41.8244i	1.16507	−	2.07062i
$409$	8.86206	+	17.3928i	0.438201	+	0.860017i	0.999475	+	0.0323878i	$0.0103112\pi$
$409$	8.86206	+	17.3928i	0.438201	+	0.860017i	−0.561275	+	0.827630i	$0.689689\pi$
$410$	−0.711899	+	10.7512i	−0.0351582	+	0.530965i
$411$	14.9825	−	2.37299i	0.739030	−	0.117051i
$412$	−13.7647	+	7.44979i	−0.678138	+	0.367025i
$413$	0.485036	−	0.157598i	0.0238671	−	0.00775488i
$414$	−1.99971	−	7.89603i	−0.0982804	−	0.388069i
$415$	44.8489	−	32.5846i	2.20154	−	1.59952i
$416$	19.7558	+	5.07024i	0.968609	+	0.248589i
$417$	0.444285			0.0217567
$418$	−4.54059	+	0.224045i	−0.222087	+	0.0109584i
$419$		−	20.6894i		−	1.01074i	−0.862902	−	0.505371i	$-0.831355\pi$
$419$		−	20.6894i		−	1.01074i	0.862902	−	0.505371i	$-0.168645\pi$
$420$	−0.871423	−	0.115912i	−0.0425211	−	0.00565591i
$421$	3.33198	−	21.0373i	0.162391	−	1.02530i	−0.763032	−	0.646360i	$-0.776290\pi$
$421$	3.33198	−	21.0373i	0.162391	−	1.02530i	0.925423	−	0.378935i	$-0.123710\pi$
$422$	−5.41687	+	1.37185i	−0.263689	+	0.0667807i
$423$	−11.3830	−	5.79994i	−0.553462	−	0.282003i
$424$	−4.05596	−	0.815249i	−0.196975	−	0.0395920i
$425$	−61.5124	−	44.6914i	−2.98379	−	2.16785i
$426$	−4.35044	+	3.81009i	−0.210780	+	0.184599i
$427$	−0.137816	−	0.270480i	−0.00666941	−	0.0130894i
$428$	17.4995	−	3.21912i	0.845869	−	0.155602i
$429$	−10.7595	−	29.3052i	−0.519474	−	1.41487i
$430$	−45.4704	+	4.14745i	−2.19278	+	0.200008i
$431$	−22.7246	+	11.5788i	−1.09461	+	0.557730i	−0.905552	−	0.424236i	$-0.860543\pi$
$431$	−22.7246	+	11.5788i	−1.09461	+	0.557730i	−0.189056	+	0.981966i	$0.560543\pi$
$432$	7.12605	+	4.65488i	0.342852	+	0.223958i
$433$	−1.10263	+	1.51764i	−0.0529890	+	0.0729330i	−0.834689	−	0.550721i	$-0.814353\pi$
$433$	−1.10263	+	1.51764i	−0.0529890	+	0.0729330i	0.781700	+	0.623654i	$0.214353\pi$
$434$	0.221282	−	0.553570i	0.0106219	−	0.0265722i
$435$	21.1888	−	41.5854i	1.01593	−	1.99387i
$436$	0.0601579	+	0.170606i	0.00288104	+	0.00817054i
$437$	−1.44522	−	0.228900i	−0.0691342	−	0.0109498i
$438$	−8.41670	+	37.0812i	−0.402166	+	1.77181i
$439$	8.27333			0.394864			0.197432	−	0.980317i	$-0.436740\pi$
$439$	8.27333			0.394864			0.197432	+	0.980317i	$0.436740\pi$
$440$	25.0236	−	29.0394i	1.19295	−	1.38440i
$441$		−	26.6993i		−	1.27140i
$442$	19.1226	−	27.0672i	0.909567	−	1.28745i
$443$	−21.4061	−	29.4629i	−1.01703	−	1.39983i	−0.914263	−	0.405121i	$-0.867229\pi$
$443$	−21.4061	−	29.4629i	−1.01703	−	1.39983i	−0.102770	−	0.994705i	$-0.532771\pi$
$444$	−11.6474	−	33.0317i	−0.552761	−	1.56761i
$445$	−3.07158	−	9.45335i	−0.145607	−	0.448132i
$446$	19.3402	−	8.29388i	0.915785	−	0.392726i
$447$	−3.59593	−	22.7038i	−0.170082	−	1.07385i
$448$	0.305039	−	0.124919i	0.0144117	−	0.00590185i
$449$	−17.8390	+	9.08941i	−0.841873	+	0.428956i	−0.821070	−	0.570828i	$-0.806622\pi$
$449$	−17.8390	+	9.08941i	−0.841873	+	0.428956i	−0.0208031	+	0.999784i	$0.506622\pi$
$450$	40.3926	−	48.5007i	1.90412	−	2.28635i
$451$	−3.03438	+	5.38805i	−0.142883	+	0.253713i
$452$	−5.64375	−	30.6800i	−0.265460	−	1.44307i
$453$	30.5514	−	15.5667i	1.43543	−	0.731388i
$454$	−2.44921	−	2.79656i	−0.114947	−	0.131249i
$455$	−0.590419	−	0.141227i	−0.0276793	−	0.00662084i
$456$	5.95851	−	3.96407i	0.279033	−	0.185635i
$457$	−19.8150	−	10.0963i	−0.926907	−	0.472283i	−0.0757107	−	0.997130i	$-0.524123\pi$
$457$	−19.8150	−	10.0963i	−0.926907	−	0.472283i	−0.851197	+	0.524847i	$0.824123\pi$
$458$	−9.44486	+	15.8512i	−0.441329	+	0.740679i
$459$	11.1889	−	8.12920i	0.522252	−	0.379438i
$460$	9.79865	−	7.49795i	0.456864	−	0.349594i
$461$	−17.5658	+	17.5658i	−0.818119	+	0.818119i	−0.985835	−	0.167716i	$-0.946361\pi$
$461$	−17.5658	+	17.5658i	−0.818119	+	0.818119i	0.167716	+	0.985835i	$0.446361\pi$
$462$	−0.422285	−	0.276074i	−0.0196465	−	0.0128441i
$463$	−12.1171	+	12.1171i	−0.563128	+	0.563128i	−0.930195	−	0.367067i	$-0.880362\pi$
$463$	−12.1171	+	12.1171i	−0.563128	+	0.563128i	0.367067	+	0.930195i	$0.380362\pi$
$464$	0.869109	+	17.4787i	0.0403474	+	0.811427i
$465$	64.1518	+	88.2974i	2.97497	+	4.09470i
$466$	19.3617	−	4.90347i	0.896916	−	0.227149i
$467$	−4.28713	−	13.1944i	−0.198385	−	0.610565i	−0.999920	−	0.0126185i	$-0.995983\pi$
$467$	−4.28713	−	13.1944i	−0.198385	−	0.610565i	0.801536	−	0.597947i	$-0.204017\pi$
$468$	21.3714	+	17.3242i	0.987895	+	0.800809i
$469$	0.190227	+	0.138208i	0.00878386	+	0.00638185i
$470$	1.27860	−	19.3096i	0.0589772	−	0.890685i
$471$	−40.9636	−	13.3099i	−1.88750	−	0.613286i
$472$	−9.43522	−	33.7137i	−0.434291	−	1.55180i
$473$	−24.5628	−	9.12838i	−1.12940	−	0.419723i
$474$	10.1515	+	8.45439i	0.466273	+	0.388323i
$475$	−5.14761	−	10.1028i	−0.236189	−	0.463546i
$476$	−0.0133036	−	0.535429i	−0.000609770	−	0.0245414i
$477$	−4.51455	−	3.28001i	−0.206707	−	0.150181i
$478$	−16.3439	+	7.00896i	−0.747554	+	0.320582i
$479$	−7.24536	−	3.69170i	−0.331049	−	0.168678i	0.280563	−	0.959836i	$-0.409479\pi$
$479$	−7.24536	−	3.69170i	−0.331049	−	0.168678i	−0.611612	+	0.791158i	$0.709479\pi$
$480$	−10.4186	+	59.4401i	−0.475540	+	2.71306i
$481$	−5.66595	−	23.5141i	−0.258345	−	1.07215i
$482$	−25.6498	−	5.82199i	−1.16831	−	0.265185i
$483$	−0.114826	−	0.114826i	−0.00522474	−	0.00522474i
$484$	20.1523	−	8.82516i	0.916015	−	0.401143i
$485$			18.9917i			0.862368i
$486$	−16.4042	−	26.0376i	−0.744109	−	1.18109i
$487$	−19.8881	−	3.14997i	−0.901217	−	0.142739i	−0.311403	−	0.950278i	$-0.600799\pi$
$487$	−19.8881	−	3.14997i	−0.901217	−	0.142739i	−0.589814	+	0.807539i	$0.700799\pi$
$488$	−18.9419	+	8.68625i	−0.857458	+	0.393208i
$489$	1.20889	−	2.37259i	0.0546681	−	0.107292i
$490$	37.1696	−	15.9399i	1.67915	−	0.720090i
$491$	26.3633	+	19.1541i	1.18976	+	0.864412i	0.993239	−	0.116088i	$-0.0370354\pi$
$491$	26.3633	+	19.1541i	1.18976	+	0.864412i	0.196522	+	0.980499i	$0.437035\pi$
$492$	−0.241799	−	9.73165i	−0.0109011	−	0.438737i
$493$	27.0437	+	8.78702i	1.21798	+	0.395747i
$494$	4.37336	−	2.30185i	0.196767	−	0.103565i
$495$	47.0082	−	21.5351i	2.11286	−	0.967931i
$496$	−37.3410	−	16.7452i	−1.67666	−	0.751881i
$497$	−0.0199442	+	0.0613819i	−0.000894619	+	0.00275335i
$498$	−37.6779	+	32.9980i	−1.68839	+	1.47868i
$499$	2.63151	+	16.6147i	0.117803	+	0.743777i	0.973903	+	0.226966i	$0.0728808\pi$
$499$	2.63151	+	16.6147i	0.117803	+	0.743777i	−0.856100	+	0.516810i	$0.827119\pi$
$500$	52.4701	+	15.6188i	2.34653	+	0.698492i
$501$	−18.2043	+	35.7279i	−0.813307	+	1.59620i
$502$	5.83961	+	23.0582i	0.260635	+	1.02914i
$503$	−0.131731	−	0.181312i	−0.00587360	−	0.00808432i	0.806070	−	0.591820i	$-0.201590\pi$
$503$	−0.131731	−	0.181312i	−0.00587360	−	0.00808432i	−0.811944	+	0.583736i	$0.801590\pi$
$504$	0.444236	+	0.0183474i	0.0197879	+	0.000817258i
$505$	2.90130	+	2.90130i	0.129106	+	0.129106i
$506$	6.93076	−	1.45105i	0.308110	−	0.0645070i
$507$	24.0374	+	23.9575i	1.06754	+	1.06399i
$508$	−0.581571	−	0.0773573i	−0.0258030	−	0.00343217i
$509$	−1.74409	+	11.0117i	−0.0773053	+	0.488087i	0.918411	+	0.395627i	$0.129473\pi$
$509$	−1.74409	+	11.0117i	−0.0773053	+	0.488087i	−0.995716	+	0.0924593i	$0.970527\pi$
$510$	84.2346	+	50.1907i	3.72997	+	2.22248i
$511$	0.131137	+	0.403598i	0.00580115	+	0.0178541i
$512$	−7.70373	−	21.2756i	−0.340460	−	0.940259i
$513$	2.03706	−	0.322638i	0.0899382	−	0.0142448i
$514$	2.29725	−	34.6935i	0.101327	−	1.53027i
$515$	−14.5181	−	28.4933i	−0.639742	−	1.25557i
$516$	40.5708	−	7.46320i	1.78603	−	0.328549i
$517$	5.44985	−	9.67713i	0.239684	−	0.425600i
$518$	−0.300368	−	0.250154i	−0.0131974	−	0.0109911i
$519$	−3.51260	+	10.8107i	−0.154186	+	0.474536i
$520$	−11.3589	+	40.0951i	−0.498120	+	1.75829i
$521$	−17.3992	−	12.6413i	−0.762273	−	0.553823i	0.137334	−	0.990525i	$-0.456147\pi$
$521$	−17.3992	−	12.6413i	−0.762273	−	0.553823i	−0.899607	+	0.436701i	$0.856147\pi$
$522$	−8.76174	+	21.9188i	−0.383491	+	0.959362i
$523$	34.7540	−	11.2923i	1.51969	−	0.493776i	0.573999	−	0.818856i	$-0.305391\pi$
$523$	34.7540	−	11.2923i	1.51969	−	0.493776i	0.945686	+	0.325080i	$0.105391\pi$
$524$	6.64230	+	3.17913i	0.290170	+	0.138881i
$525$	0.196848	−	1.24285i	0.00859116	−	0.0542424i
$526$	−15.6718	−	24.8752i	−0.683325	−	1.08461i
$527$	−47.0191	+	47.0191i	−2.04819	+	2.04819i
$528$	−20.1314	+	28.1813i	−0.876106	+	1.22643i
$529$	−20.7209			−0.900907
$530$	1.87104	−	8.24317i	0.0812727	−	0.358060i
$531$	7.38713	−	46.6405i	0.320574	−	2.02402i
$532$	0.0344819	−	0.0720445i	0.00149498	−	0.00312353i
$533$	0.521856	−	6.70214i	0.0226041	−	0.290302i
$534$	3.53941	+	8.25341i	0.153165	+	0.357160i
$535$	5.68713	+	35.9071i	0.245876	+	1.55240i
$536$	10.0182	−	12.6556i	0.432718	−	0.546640i
$537$	5.07083	+	1.64761i	0.218823	+	0.0710998i
$538$	−21.0782	−	17.5545i	−0.908747	−	0.756826i
$539$	23.1906	+	0.966629i	0.998890	+	0.0416357i
$540$	−9.86952	+	14.3191i	−0.424716	+	0.616198i
$541$	−0.399753	+	0.203685i	−0.0171867	+	0.00875708i	−0.462563	−	0.886587i	$-0.653070\pi$
$541$	−0.399753	+	0.203685i	−0.0171867	+	0.00875708i	0.445376	+	0.895344i	$0.353070\pi$
$542$	−15.1206	+	13.2425i	−0.649486	+	0.568816i
$543$	−4.60545	−	3.34606i	−0.197639	−	0.143593i
$544$	−36.7613	−	0.604264i	−1.57613	−	0.0259076i
$545$	−0.351526	+	0.114218i	−0.0150577	+	0.00489255i
$546$	0.542810	+	0.0786132i	0.0232301	+	0.00336433i
$547$	15.4784	+	21.3042i	0.661808	+	0.910901i	0.999540	−	0.0303414i	$-0.00965946\pi$
$547$	15.4784	+	21.3042i	0.661808	+	0.910901i	−0.337731	+	0.941243i	$0.609659\pi$
$548$	−7.06229	−	9.22930i	−0.301686	−	0.394256i
$549$	−28.1080			−1.19962
$550$	40.6646	+	36.8403i	1.73394	+	1.57087i
$551$	2.99846	+	2.99846i	0.127739	+	0.127739i
$552$	−8.20083	+	7.55030i	−0.349051	+	0.321362i
$553$	0.145624	+	0.0230646i	0.00619258	+	0.000980808i
$554$	26.5500	−	6.72392i	1.12800	−	0.285672i
$555$	68.0603	−	22.1141i	2.88900	−	0.938693i
$556$	−0.162011	−	0.299342i	−0.00687081	−	0.0126949i
$557$	5.29014	+	33.4006i	0.224150	+	1.41523i	0.801139	+	0.598478i	$0.204228\pi$
$557$	5.29014	+	33.4006i	0.224150	+	1.41523i	−0.576989	+	0.816752i	$0.695772\pi$
$558$	−36.3680	−	41.5258i	−1.53958	−	1.75793i
$559$	28.3972	−	2.25870i	1.20107	−	0.0955327i
$560$	0.239673	+	0.629400i	0.0101280	+	0.0265970i
$561$	31.1523	+	46.8646i	1.31525	+	1.97863i
$562$	−2.90798	−	31.8815i	−0.122666	−	1.34484i
$563$	−4.12982	+	12.7103i	−0.174051	+	0.535675i	−0.999589	−	0.0286723i	$-0.990872\pi$
$563$	−4.12982	+	12.7103i	−0.174051	+	0.535675i	0.825538	+	0.564347i	$0.190872\pi$
$564$	0.434280	+	17.4784i	0.0182865	+	0.735974i
$565$	62.9523	−	9.97066i	2.64842	−	0.419469i
$566$	13.7091	−	34.2954i	0.576236	−	1.44154i
$567$	−0.216245	−	0.110182i	−0.00908145	−	0.00462723i
$568$	4.15351	+	1.54179i	0.174278	+	0.0646922i
$569$	−5.80421	−	7.98881i	−0.243325	−	0.334908i	0.669835	−	0.742510i	$-0.266365\pi$
$569$	−5.80421	−	7.98881i	−0.243325	−	0.334908i	−0.913160	+	0.407602i	$0.866365\pi$
$570$	7.79445	+	12.3718i	0.326474	+	0.518198i
$571$	−36.8517			−1.54220			−0.771098	−	0.636717i	$-0.780292\pi$
$571$	−36.8517			−1.54220			−0.771098	+	0.636717i	$0.780292\pi$
$572$	−15.8212	+	17.9357i	−0.661519	+	0.749929i
$573$	−15.5300			−0.648775
$574$	−0.0579119	−	0.0919210i	−0.00241719	−	0.00383671i
$575$	10.3809	+	14.2881i	0.432913	+	0.595854i
$576$	2.51679	−	30.4170i	0.104866	−	1.26737i
$577$	14.1196	+	7.19428i	0.587805	+	0.299502i	0.722484	−	0.691388i	$-0.243000\pi$
$577$	14.1196	+	7.19428i	0.587805	+	0.299502i	−0.134679	+	0.990889i	$0.543000\pi$
$578$	−13.2504	+	33.1480i	−0.551145	+	1.37877i
$579$	54.0105	−	8.55443i	2.24460	−	0.355510i
$580$	−35.7453	+	0.888151i	−1.48424	+	0.0368785i
$581$	−0.172731	+	0.531610i	−0.00716607	+	0.0220549i
$582$	−1.55858	−	17.0874i	−0.0646054	−	0.708297i
$583$	3.01241	−	3.80252i	0.124761	−	0.157484i
$584$	28.0531	−	7.85103i	1.16085	−	0.324878i
$585$	−36.4702	+	42.7732i	−1.50786	+	1.76846i
$586$	22.5950	+	25.7995i	0.933393	+	1.06577i
$587$	5.30709	+	33.5077i	0.219047	+	1.38301i	0.814754	+	0.579807i	$0.196872\pi$
$587$	5.30709	+	33.5077i	0.219047	+	1.38301i	−0.595706	+	0.803202i	$0.703128\pi$
$588$	−32.1346	+	17.3920i	−1.32521	+	0.717235i
$589$	−9.43083	+	3.06426i	−0.388591	+	0.126261i
$590$	69.3411	−	17.5610i	2.85473	−	0.722975i
$591$	−0.901003	−	0.142705i	−0.0370623	−	0.00587009i
$592$	−18.0082	+	19.8928i	−0.740133	+	0.817590i
$593$	−16.9383	−	16.9383i	−0.695572	−	0.695572i	0.267880	−	0.963452i	$-0.413677\pi$
$593$	−16.9383	−	16.9383i	−0.695572	−	0.695572i	−0.963452	+	0.267880i	$0.913677\pi$
$594$	−8.65885	+	4.96396i	−0.355277	+	0.203674i
$595$	1.09432			0.0448628
$596$	−13.9857	+	10.7019i	−0.572877	+	0.438367i
$597$	−22.9024	−	31.5225i	−0.937334	−	1.29013i
$598$	−6.16721	+	4.60685i	−0.252196	+	0.188388i
$599$	−16.8341	+	5.46972i	−0.687822	+	0.223487i	−0.632017	−	0.774955i	$-0.717773\pi$
$599$	−16.8341	+	5.46972i	−0.687822	+	0.223487i	−0.0558051	+	0.998442i	$0.517773\pi$
$600$	−84.6860	−	17.0219i	−3.45729	−	0.694917i
$601$	−2.16482	−	1.57284i	−0.0883050	−	0.0641573i	0.542757	−	0.839890i	$-0.317381\pi$
$601$	−2.16482	−	1.57284i	−0.0883050	−	0.0641573i	−0.631062	+	0.775733i	$0.717381\pi$
$602$	0.346338	−	0.303321i	0.0141157	−	0.0123624i
$603$	19.3986	−	9.88409i	0.789973	−	0.402511i
$604$	−21.6290	−	14.9079i	−0.880074	−	0.606594i
$605$	17.0032	+	41.6102i	0.691277	+	1.69170i
$606$	−2.84849	−	2.37229i	−0.115712	−	0.0963678i
$607$	−26.4752	−	8.60232i	−1.07460	−	0.349157i	−0.282320	−	0.959320i	$-0.591104\pi$
$607$	−26.4752	−	8.60232i	−1.07460	−	0.349157i	−0.792276	+	0.610163i	$0.791104\pi$
$608$	−4.84365	−	2.56910i	−0.196436	−	0.104191i
$609$	0.0736182	+	0.464807i	0.00298316	+	0.0188349i
$610$	−16.7809	−	39.1307i	−0.679438	−	1.58436i
$611$	−0.937272	+	12.0373i	−0.0379180	+	0.486976i
$612$	−44.7324	−	21.4098i	−1.80820	−	0.865440i
$613$	−0.546391	+	3.44978i	−0.0220685	+	0.139335i	−0.996263	−	0.0863772i	$-0.972471\pi$
$613$	−0.546391	+	3.44978i	−0.0220685	+	0.139335i	0.974194	+	0.225712i	$0.0724710\pi$
$614$	4.45460	−	19.6255i	0.179773	−	0.792020i
$615$	19.8898			0.802033
$616$	−0.0320195	+	0.385192i	−0.00129010	+	0.0155198i
$617$	26.6876	−	26.6876i	1.07440	−	1.07440i	0.0774023	−	0.997000i	$-0.475337\pi$
$617$	26.6876	−	26.6876i	1.07440	−	1.07440i	0.997000	−	0.0774023i	$-0.0246626\pi$
$618$	15.4007	+	24.4449i	0.619508	+	0.983319i
$619$	−0.376714	+	2.37848i	−0.0151414	+	0.0955991i	−0.994102	−	0.108452i	$-0.965411\pi$
$619$	−0.376714	+	2.37848i	−0.0151414	+	0.0955991i	0.978960	+	0.204051i	$0.0654107\pi$
$620$	36.0981	−	75.4214i	1.44974	−	3.02900i
$621$	−3.05524	+	0.992709i	−0.122603	+	0.0398360i
$622$	−2.02677	+	5.07028i	−0.0812661	+	0.203300i
$623$	0.0810830	+	0.0589103i	0.00324852	+	0.00236019i
$624$	6.92948	−	37.0071i	0.277401	−	1.48147i
$625$	−16.4900	+	50.7509i	−0.659598	+	2.03003i
$626$	−17.0465	−	14.1967i	−0.681313	−	0.567414i
$627$	0.966462	+	8.33608i	0.0385968	+	0.332911i
$628$	5.96994	+	32.4533i	0.238227	+	1.29503i
$629$	19.7940	+	38.8479i	0.789238	+	1.54897i
$630$	−0.0600210	+	0.906448i	−0.00239129	+	0.0361138i
$631$	−17.6533	+	2.79600i	−0.702765	+	0.111307i	−0.497583	−	0.867417i	$-0.665779\pi$
$631$	−17.6533	+	2.79600i	−0.702765	+	0.111307i	−0.205183	+	0.978724i	$0.565779\pi$
$632$	1.99445	−	9.92264i	0.0793351	−	0.394701i
$633$	3.18751	+	9.81014i	0.126692	+	0.389918i
$634$	23.1926	+	13.8192i	0.921095	+	0.548829i
$635$	0.187522	−	1.18397i	0.00744159	−	0.0469843i
$636$	−1.00695	+	7.57020i	−0.0399280	+	0.300178i
$637$	−23.3040	+	9.67555i	−0.923337	+	0.383359i
$638$	−18.7211	−	8.40386i	−0.741177	−	0.332712i
$639$	4.22566	+	4.22566i	0.167164	+	0.167164i
$640$	43.8477	−	14.6556i	1.73323	−	0.579313i
$641$	17.4626	+	24.0353i	0.689733	+	0.949336i	0.999999	−	0.00131361i	$-0.000418136\pi$
$641$	17.4626	+	24.0353i	0.689733	+	0.949336i	−0.310266	+	0.950650i	$0.600418\pi$
$642$	−8.06367	−	31.8401i	−0.318248	−	1.25663i
$643$	−7.18672	+	14.1047i	−0.283417	+	0.556237i	−0.988197	−	0.153189i	$-0.951046\pi$
$643$	−7.18672	+	14.1047i	−0.283417	+	0.556237i	0.704780	+	0.709426i	$0.251046\pi$
$644$	−0.0354933	+	0.119237i	−0.00139863	+	0.00469860i
$645$	13.1850	+	83.2471i	0.519160	+	3.27785i
$646$	−6.70190	+	5.86948i	−0.263683	+	0.230932i
$647$	2.11411	−	6.50655i	0.0831141	−	0.255799i	−0.900860	−	0.434109i	$-0.857063\pi$
$647$	2.11411	−	6.50655i	0.0831141	−	0.255799i	0.983974	+	0.178311i	$0.0570632\pi$
$648$	−8.16967	+	14.5195i	−0.320935	+	0.570381i
$649$	40.2437	+	8.10493i	1.57971	+	0.318146i
$650$	−56.9707	−	17.6797i	−2.23458	−	0.693454i
$651$	−1.04662	−	0.340068i	−0.0410203	−	0.0133283i
$652$	−2.03939	+	0.0506720i	−0.0798688	+	0.00198447i
$653$	−24.1783	−	17.5666i	−0.946172	−	0.687434i	0.00372658	−	0.999993i	$-0.498814\pi$
$653$	−24.1783	−	17.5666i	−0.946172	−	0.687434i	−0.949898	+	0.312559i	$0.898814\pi$
$654$	0.306906	−	0.131614i	0.0120010	−	0.00514651i
$655$	−6.83067	+	13.4059i	−0.266896	+	0.523814i
$656$	−6.46865	+	3.71163i	−0.252558	+	0.144915i
$657$	38.8095	+	6.14682i	1.51410	+	0.239810i
$658$	0.104012	+	0.165094i	0.00405480	+	0.00643602i
$659$		−	3.52602i		−	0.137354i	−0.997639	−	0.0686772i	$-0.978122\pi$
$659$		−	3.52602i		−	0.137354i	0.997639	−	0.0686772i	$-0.0218778\pi$
$660$	−56.5404	−	42.5498i	−2.20083	−	1.65625i
$661$	24.4797	+	24.4797i	0.952150	+	0.952150i	0.998906	−	0.0467566i	$-0.0148885\pi$
$661$	24.4797	+	24.4797i	0.952150	+	0.952150i	−0.0467566	+	0.998906i	$0.514889\pi$
$662$	21.3651	+	4.84946i	0.830377	+	0.188479i
$663$	−52.1879	−	31.9211i	−2.02681	−	1.23971i
$664$	35.9723	+	13.3530i	1.39600	+	0.518197i
$665$	0.145405	+	0.0740877i	0.00563857	+	0.00287300i
$666$	−33.2641	+	14.2650i	−1.28896	+	0.552759i
$667$	−5.34352	−	3.88229i	−0.206902	−	0.150323i
$668$	30.7104	−	0.763051i	1.18822	−	0.0295233i
$669$	−17.6355	−	34.6116i	−0.681828	−	1.33816i
$670$	25.3414	+	21.1050i	0.979026	+	0.815356i
$671$	1.01763	−	24.4142i	0.0392852	−	0.942499i
$672$	−0.267294	−	0.546623i	−0.0103111	−	0.0210864i
$673$	−10.1128	−	3.28583i	−0.389818	−	0.126660i	0.107549	−	0.994200i	$-0.465700\pi$
$673$	−10.1128	−	3.28583i	−0.389818	−	0.126660i	−0.497367	+	0.867540i	$0.665700\pi$
$674$	−1.27609	+	19.2717i	−0.0491531	+	0.742319i
$675$	−20.1392	−	14.6320i	−0.775159	−	0.563186i
$676$	7.37626	−	24.9317i	0.283702	−	0.958912i
$677$	−0.227423	−	0.699936i	−0.00874057	−	0.0269007i	0.946591	−	0.322436i	$-0.104502\pi$
$677$	−0.227423	−	0.699936i	−0.00874057	−	0.0269007i	−0.955332	+	0.295536i	$0.904502\pi$
$678$	−55.8219	+	14.1372i	−2.14383	+	0.542936i
$679$	−0.112558	−	0.154922i	−0.00431957	−	0.00594537i
$680$	3.09991	−	75.0565i	0.118876	−	2.87829i
$681$	−4.85233	+	4.85233i	−0.185942	+	0.185942i
$682$	37.3853	−	30.0852i	1.43156	−	1.15202i
$683$	−3.73480	+	3.73480i	−0.142908	+	0.142908i	−0.774941	−	0.632033i	$-0.782221\pi$
$683$	−3.73480	+	3.73480i	−0.142908	+	0.142908i	0.632033	+	0.774941i	$0.282221\pi$
$684$	−4.49422	−	5.87324i	−0.171841	−	0.224569i
$685$	19.2098	−	13.9568i	0.733970	−	0.533260i
$686$	−0.417523	+	0.700725i	−0.0159411	+	0.0267538i
$687$	30.3487	+	15.4634i	1.15787	+	0.589967i
$688$	−19.8228	−	24.6136i	−0.755739	−	0.938384i
$689$	−1.22687	+	5.12907i	−0.0467399	+	0.195402i
$690$	−15.0057	−	17.1339i	−0.571259	−	0.652276i
$691$	−28.9392	+	14.7452i	−1.10090	+	0.560935i	−0.907443	−	0.420174i	$-0.861969\pi$
$691$	−28.9392	+	14.7452i	−1.10090	+	0.560935i	−0.193454	+	0.981109i	$0.561969\pi$
$692$	8.56473	−	1.57552i	0.325582	−	0.0598925i
$693$	−0.255832	+	0.454273i	−0.00971825	+	0.0172564i
$694$	−8.31983	+	9.98990i	−0.315816	+	0.379212i
$695$	0.619647	−	0.315726i	0.0235046	−	0.0119762i
$696$	32.0884	−	3.73260i	1.21631	−	0.141484i
$697$	1.89566	+	11.9687i	0.0718034	+	0.453349i
$698$	−9.06725	+	3.88841i	−0.343201	+	0.147179i
$699$	−11.3932	−	35.0648i	−0.430932	−	1.32627i
$700$	−0.909168	+	0.320585i	−0.0343633	+	0.0121170i
$701$	−22.8900	−	31.5053i	−0.864542	−	1.18994i	−0.980467	−	0.196682i	$-0.936983\pi$
$701$	−22.8900	−	31.5053i	−0.864542	−	1.18994i	0.115926	−	0.993258i	$-0.463017\pi$
$702$	6.26074	−	8.86181i	0.236296	−	0.334468i
$703$			6.50191i			0.245224i
$704$	26.3286	+	3.28727i	0.992295	+	0.123894i
$705$	−35.7227			−1.34540
$706$	−5.60216	+	24.6812i	−0.210840	+	0.928891i
$707$	−0.0408621	−	0.00647192i	−0.00153678	−	0.000243401i
$708$	−60.9473	+	21.4908i	−2.29054	+	0.807674i
$709$	12.5820	−	24.6935i	0.472525	−	0.927383i	−0.524581	−	0.851361i	$-0.675778\pi$
$709$	12.5820	−	24.6935i	0.472525	−	0.927383i	0.997106	−	0.0760226i	$-0.0242221\pi$
$710$	−3.36000	+	8.40556i	−0.126099	+	0.315455i
$711$	8.02433	−	11.0445i	0.300936	−	0.414203i
$712$	4.27018	−	5.39438i	0.160032	−	0.202163i
$713$	13.7620	−	7.01208i	0.515391	−	0.262605i
$714$	−0.984597	+	0.0898074i	−0.0368476	+	0.00336096i
$715$	−35.8318	−	33.2261i	−1.34003	−	1.24258i
$716$	−0.739012	−	4.01735i	−0.0276182	−	0.150135i
$717$	14.9033	+	29.2494i	0.556575	+	1.09234i
$718$	19.4886	−	17.0680i	0.727309	−	0.636973i
$719$	22.4797	+	16.3325i	0.838351	+	0.609098i	0.921910	−	0.387405i	$-0.126628\pi$
$719$	22.4797	+	16.3325i	0.838351	+	0.609098i	−0.0835582	+	0.996503i	$0.526628\pi$
$720$	62.0007	+	6.68439i	2.31063	+	0.249112i
$721$	0.287300	+	0.146387i	0.0106996	+	0.00545173i
$722$	24.7598	−	6.27056i	0.921466	−	0.233366i
$723$	−7.59532	+	47.9550i	−0.282473	+	1.78346i
$724$	−0.575040	+	4.32314i	−0.0213712	+	0.160668i
$725$		−	51.1817i		−	1.90084i
$726$	−18.7131	−	36.0427i	−0.694509	−	1.33767i
$727$	3.47930			0.129040			0.0645200	−	0.997916i	$-0.479448\pi$
$727$	3.47930			0.129040			0.0645200	+	0.997916i	$0.479448\pi$
$728$	−0.144972	−	0.394392i	−0.00537304	−	0.0146171i
$729$	−31.6627	+	23.0043i	−1.17269	+	0.852011i
$730$	14.6125	+	57.6986i	0.540832	+	2.13552i
$731$	−48.8376	+	15.8683i	−1.80632	+	0.586910i
$732$	18.3096	+	33.8301i	0.676744	+	1.25039i
$733$	−23.4291	+	3.71081i	−0.865375	+	0.137062i	−0.573312	−	0.819337i	$-0.694342\pi$
$733$	−23.4291	+	3.71081i	−0.865375	+	0.137062i	−0.292063	+	0.956399i	$0.594342\pi$
$734$	−2.14027	+	32.3228i	−0.0789988	+	1.19305i
$735$	−33.8934	−	66.5195i	−1.25018	−	2.45361i
$736$	8.07760	+	2.77215i	0.297744	+	0.102183i
$737$	7.88285	+	17.2072i	0.290369	+	0.633835i
$738$	−10.0179	+	0.913757i	−0.368765	+	0.0336359i
$739$	−19.5727	−	38.4135i	−0.719992	−	1.41306i	−0.902863	−	0.429927i	$-0.858539\pi$
$739$	−19.5727	−	38.4135i	−0.719992	−	1.41306i	0.182871	−	0.983137i	$-0.441461\pi$
$740$	−39.7183	−	37.7925i	−1.46008	−	1.38928i
$741$	−4.77322	−	7.77465i	−0.175349	−	0.285609i
$742$	0.0335919	+	0.0783317i	0.00123320	+	0.00287565i
$743$	13.7794	−	27.0437i	0.505519	−	0.992137i	−0.487382	−	0.873189i	$-0.662048\pi$
$743$	13.7794	−	27.0437i	0.505519	−	0.992137i	0.992901	−	0.118948i	$-0.0379520\pi$
$744$	−26.2891	+	70.8215i	−0.963805	+	2.59644i
$745$	−21.1495	−	29.1098i	−0.774858	−	1.06650i
$746$	−14.4841	+	9.12523i	−0.530300	+	0.334098i
$747$	36.5972	+	36.5972i	1.33902	+	1.33902i
$748$	20.2157	−	38.0788i	0.739160	−	1.39230i
$749$	−0.259202	−	0.259202i	−0.00947104	−	0.00947104i
$750$	22.3691	−	98.5507i	0.816804	−	3.59856i
$751$	15.4174	−	11.2014i	0.562588	−	0.408744i	−0.269817	−	0.962912i	$-0.586963\pi$
$751$	15.4174	−	11.2014i	0.562588	−	0.408744i	0.832405	+	0.554167i	$0.186963\pi$
$752$	11.6179	−	6.66622i	0.423663	−	0.243092i
$753$	41.7592	−	13.5684i	1.52179	−	0.494460i
$754$	22.3066	−	0.295652i	0.812358	−	0.0107670i
$755$	31.5480	−	43.4220i	1.14815	−	1.58029i
$756$	−0.00435562	−	0.175300i	−0.000158412	−	0.00637560i
$757$	7.49114	−	23.0554i	0.272270	−	0.837961i	−0.717659	−	0.696395i	$-0.754786\pi$
$757$	7.49114	−	23.0554i	0.272270	−	0.837961i	0.989929	−	0.141566i	$-0.0452138\pi$
$758$	−1.59499	−	17.4865i	−0.0579325	−	0.635139i
$759$	−3.51802	−	12.5890i	−0.127696	−	0.456950i
$760$	5.49336	−	9.76307i	0.199265	−	0.354144i
$761$	−12.0740	+	6.15203i	−0.437683	+	0.223011i	−0.658926	−	0.752208i	$-0.728989\pi$
$761$	−12.0740	+	6.15203i	−0.437683	+	0.223011i	0.221242	+	0.975219i	$0.428989\pi$
$762$	−0.0715554	+	1.08064i	−0.00259218	+	0.0391476i
$763$	0.00219060	−	0.00301510i	7.93050e−5	−	0.000109154i
$764$	5.66312	+	10.4635i	0.204884	+	0.378557i
$765$	46.0010	−	90.2821i	1.66317	−	3.26416i
$766$	1.48285	−	2.48866i	0.0535777	−	0.0899190i
$767$	−43.3862	+	10.4543i	−1.56659	+	0.377484i
$768$	−38.2485	+	16.7846i	−1.38017	+	0.605660i
$769$	−21.6960	+	21.6960i	−0.782376	+	0.782376i	−0.980231	−	0.197855i	$-0.936602\pi$
$769$	−21.6960	+	21.6960i	−0.782376	+	0.782376i	0.197855	+	0.980231i	$0.436602\pi$
$770$	−0.785154	−	0.0849506i	−0.0282950	−	0.00306141i
$771$	−64.1830			−2.31149
$772$	−25.4589	−	33.2709i	−0.916288	−	1.19744i
$773$	6.19651	−	39.1232i	0.222873	−	1.40716i	−0.581745	−	0.813372i	$-0.697630\pi$
$773$	6.19651	−	39.1232i	0.222873	−	1.40716i	0.804618	−	0.593793i	$-0.202370\pi$
$774$	−10.4654	−	41.3235i	−0.376171	−	1.48534i
$775$	106.642	+	54.3366i	3.83068	+	1.95183i
$776$	−10.9445	+	7.28116i	−0.392886	+	0.261378i
$777$	−0.424130	+	0.583765i	−0.0152156	+	0.0209425i
$778$	−0.910925	+	13.7570i	−0.0326582	+	0.493211i
$779$	−0.558425	+	1.71866i	−0.0200077	+	0.0615772i
$780$	75.2376	+	16.0320i	2.69394	+	0.574039i
$781$	−3.82333	+	3.51735i	−0.136809	+	0.125861i
$782$	8.88021	−	10.6628i	0.317556	−	0.381300i
$783$	8.85412	+	2.87688i	0.316420	+	0.102811i
$784$	23.4362	+	15.3090i	0.837007	+	0.546749i
$785$	−66.5907	+	10.5469i	−2.37672	+	0.376436i
$786$	5.04560	−	12.6223i	0.179970	−	0.450224i
$787$	−0.0327327	−	0.0166781i	−0.00116679	−	0.000594511i	0.453407	−	0.891304i	$-0.350208\pi$
$787$	−0.0327327	−	0.0166781i	−0.00116679	−	0.000594511i	−0.454574	+	0.890709i	$0.650208\pi$
$788$	0.232407	+	0.659100i	0.00827917	+	0.0234795i
$789$	−43.9069	+	31.9002i	−1.56313	+	1.13568i
$790$	20.1664	+	4.57737i	0.717487	+	0.162856i
$791$	−0.454432	+	0.454432i	−0.0161578	+	0.0161578i
$792$	30.4326	+	18.8336i	1.08138	+	0.669223i
$793$	10.1860	+	24.5335i	0.361717	+	0.871210i
$794$	−48.0317	−	10.9022i	−1.70458	−	0.386906i
$795$	−15.4115	−	2.44094i	−0.546589	−	0.0865712i
$796$	−12.8872	+	26.9257i	−0.456773	+	0.954356i
$797$	−11.2632	+	3.65963i	−0.398963	+	0.129631i	−0.501625	−	0.865085i	$-0.667264\pi$
$797$	−11.2632	+	3.65963i	−0.398963	+	0.129631i	0.102662	+	0.994716i	$0.467264\pi$
$798$	−0.136906	−	0.0547262i	−0.00484642	−	0.00193729i
$799$	−3.40468	−	21.4963i	−0.120449	−	0.760485i
$800$	19.4126	+	63.2654i	0.686339	+	2.23677i
$801$	8.26854	−	4.21303i	0.292155	−	0.148860i
$802$	2.48564	+	27.2512i	0.0877712	+	0.962274i
$803$	−6.74410	+	33.4868i	−0.237994	+	1.18172i
$804$	−24.5325	−	16.9091i	−0.865196	−	0.596339i
$805$	−0.241748	−	0.0785486i	−0.00852048	−	0.00276847i
$806$	−23.0655	+	46.7916i	−0.812449	+	1.64816i
$807$	−29.7632	+	40.9655i	−1.04771	+	1.44205i
$808$	−0.559641	+	2.78428i	−0.0196881	+	0.0979507i
$809$	−0.952063	−	2.93015i	−0.0334728	−	0.103019i	0.932924	−	0.360073i	$-0.117248\pi$
$809$	−0.952063	−	2.93015i	−0.0334728	−	0.103019i	−0.966397	+	0.257054i	$0.917248\pi$
$810$	−29.2424	−	17.4239i	−1.02747	−	0.612214i
$811$	15.3482	+	2.43091i	0.538947	+	0.0853608i	0.419973	−	0.907537i	$-0.362040\pi$
$811$	15.3482	+	2.43091i	0.538947	+	0.0853608i	0.118974	+	0.992897i	$0.462040\pi$
$812$	0.286324	−	0.219096i	0.0100480	−	0.00768877i
$813$	26.2359	+	26.2359i	0.920134	+	0.920134i
$814$	−11.1861	−	29.4092i	−0.392072	−	1.03079i
$815$		−	4.16815i		−	0.146004i
$816$	3.37055	+	67.7852i	0.117993	+	2.37296i
$817$	−7.56349	−	1.19794i	−0.264613	−	0.0419106i
$818$	−23.7153	−	14.1306i	−0.829186	−	0.494065i
$819$	0.0439983	−	0.565065i	0.00153742	−	0.0197450i
$820$	−7.25293	−	13.4010i	−0.253283	−	0.467983i
$821$	10.0005	−	1.58392i	0.349019	−	0.0552793i	0.0205364	−	0.999789i	$-0.493463\pi$
$821$	10.0005	−	1.58392i	0.349019	−	0.0552793i	0.328483	+	0.944510i	$0.393463\pi$
$822$	−16.1383	+	14.1338i	−0.562889	+	0.492974i
$823$	−11.7938	+	36.2975i	−0.411105	+	1.26525i	0.504584	+	0.863362i	$0.331646\pi$
$823$	−11.7938	+	36.2975i	−0.411105	+	1.26525i	−0.915689	+	0.401887i	$0.868354\pi$
$824$	10.8541	−	19.2904i	0.378120	−	0.672014i
$825$	62.8973	−	79.3942i	2.18980	−	2.76415i
$826$	−0.461563	+	0.554214i	−0.0160598	+	0.0192836i
$827$	20.6118	+	40.4529i	0.716743	+	1.40669i	0.905364	+	0.424637i	$0.139598\pi$
$827$	20.6118	+	40.4529i	0.716743	+	1.40669i	−0.188621	+	0.982050i	$0.560402\pi$
$828$	8.34512	+	7.94048i	0.290013	+	0.275951i
$829$	−30.7196	+	42.2819i	−1.06694	+	1.46851i	−0.193795	+	0.981042i	$0.562080\pi$
$829$	−30.7196	+	42.2819i	−1.06694	+	1.46851i	−0.873141	+	0.487468i	$0.837920\pi$
$830$	−29.0999	+	72.7980i	−1.01007	+	2.52686i
$831$	−15.6231	−	48.0829i	−0.541959	−	1.66798i
$832$	−27.4609	+	8.82606i	−0.952035	+	0.305988i
$833$	36.7981	−	26.7354i	1.27498	−	0.926325i
$834$	−0.531606	+	0.334921i	−0.0184080	+	0.0115974i
$835$			62.7666i			2.17213i
$836$	5.26412	−	3.69097i	0.182063	−	0.127655i
$837$	−15.3941	+	15.3941i	−0.532098	+	0.532098i
$838$	15.5966	+	24.7558i	0.538775	+	0.855174i
$839$	−3.56404	+	22.5024i	−0.123044	+	0.776871i	0.846578	+	0.532264i	$0.178659\pi$
$839$	−3.56404	+	22.5024i	−0.123044	+	0.776871i	−0.969622	+	0.244606i	$0.921341\pi$
$840$	1.13008	−	0.518223i	0.0389913	−	0.0178804i
$841$	−3.04654	−	9.37628i	−0.105053	−	0.323320i
$842$	11.8720	+	27.6839i	0.409136	+	0.954049i
$843$	−58.3685	+	9.24467i	−2.01032	+	0.318403i
$844$	5.44736	−	5.72496i	0.187506	−	0.197061i
$845$	50.5502	+	16.3318i	1.73898	+	0.561829i
$846$	17.9925	−	1.64114i	0.618597	−	0.0564236i
$847$	−0.385312	−	0.238658i	−0.0132395	−	0.00820039i
$848$	5.46771	−	2.08208i	0.187762	−	0.0714990i
$849$	−64.8415	−	21.0683i	−2.22535	−	0.723061i
$850$	107.293	+	7.10445i	3.68011	+	0.243681i
$851$	−1.58427	−	10.0027i	−0.0543082	−	0.342888i
$852$	2.33329	−	7.83850i	0.0799370	−	0.268543i
$853$	8.02619	−	15.7523i	0.274811	−	0.539348i	−0.711811	−	0.702371i	$-0.752125\pi$
$853$	8.02619	−	15.7523i	0.274811	−	0.539348i	0.986622	+	0.163024i	$0.0521247\pi$
$854$	0.368803	+	0.219749i	0.0126202	+	0.00751966i
$855$	12.2245	−	8.88165i	0.418070	−	0.303746i
$856$	−18.5122	+	17.0437i	−0.632734	+	0.582542i
$857$			34.8525i			1.19054i	0.803526	+	0.595269i	$0.202955\pi$
$857$			34.8525i			1.19054i	−0.803526	+	0.595269i	$0.797045\pi$
$858$	34.9658	+	26.9540i	1.19371	+	0.920194i
$859$			44.6852i			1.52464i	0.647201	+	0.762320i	$0.275940\pi$
$859$			44.6852i			1.52464i	−0.647201	+	0.762320i	$0.724060\pi$
$860$	51.2808	−	39.2402i	1.74866	−	1.33808i
$861$	−0.162248	+	0.117880i	−0.00552941	+	0.00401735i
$862$	18.4624	−	30.9854i	0.628833	−	1.05537i
$863$	−2.74101	+	5.37954i	−0.0933051	+	0.183122i	−0.932942	−	0.360026i	$-0.882768\pi$
$863$	−2.74101	+	5.37954i	−0.0933051	+	0.183122i	0.839637	+	0.543148i	$0.182768\pi$
$864$	−12.0357	−	0.197836i	−0.409462	−	0.00673053i
$865$	2.78344	+	17.5739i	0.0946397	+	0.597532i
$866$	0.175281	−	2.64713i	0.00595630	−	0.0899532i
$867$	62.6721	+	20.3634i	2.12846	+	0.691577i
$868$	0.152532	+	0.829183i	0.00517728	+	0.0281443i
$869$	9.30260	+	7.36966i	0.315569	+	0.249999i
$870$	5.99555	+	65.7318i	0.203268	+	2.22852i
$871$	−15.6570	−	13.3498i	−0.530517	−	0.452341i
$872$	−0.200592	−	0.158788i	−0.00679290	−	0.00537724i
$873$	−17.5126	+	2.77373i	−0.592713	+	0.0938766i
$874$	1.90182	−	0.815581i	0.0643302	−	0.0275874i
$875$	−0.348523	−	1.07264i	−0.0117822	−	0.0362620i
$876$	−17.8825	−	50.7141i	−0.604193	−	1.71347i
$877$	−5.79907	+	36.6139i	−0.195821	+	1.23636i	0.672401	+	0.740187i	$0.265263\pi$
$877$	−5.79907	+	36.6139i	−0.195821	+	1.23636i	−0.868222	+	0.496176i	$0.834737\pi$
$878$	−9.89940	+	6.23680i	−0.334089	+	0.210482i
$879$	44.7650	−	44.7650i	1.50988	−	1.50988i
$880$	−8.05065	+	53.6109i	−0.271387	+	1.80722i
$881$		−	26.1004i		−	0.879346i	−0.898158	−	0.439673i	$-0.855094\pi$
$881$		−	26.1004i		−	0.879346i	0.898158	−	0.439673i	$-0.144906\pi$
$882$	20.1271	+	31.9469i	0.677716	+	1.07571i
$883$	−27.9399	+	20.2995i	−0.940253	+	0.683134i	−0.948481	−	0.316833i	$-0.897381\pi$
$883$	−27.9399	+	20.2995i	−0.940253	+	0.683134i	0.00822879	+	0.999966i	$0.497381\pi$
$884$	−2.47656	+	46.8025i	−0.0832957	+	1.57414i
$885$	−40.8031	−	125.579i	−1.37158	−	4.22130i
$886$	47.8238	+	19.1169i	1.60667	+	0.642243i
$887$	16.3384	−	22.4879i	0.548590	−	0.755069i	−0.441230	−	0.897394i	$-0.645458\pi$
$887$	16.3384	−	22.4879i	0.548590	−	0.755069i	0.989820	+	0.142325i	$0.0454578\pi$
$888$	38.8374	+	30.7436i	1.30330	+	1.03169i
$889$	0.00548731	+	0.0107695i	0.000184038	+	0.000361196i
$890$	10.8016	+	8.99586i	0.362072	+	0.301542i
$891$	−10.8147	−	16.2693i	−0.362305	−	0.545041i
$892$	−16.8891	+	24.5035i	−0.565489	+	0.820438i
$893$	1.00295	−	3.08677i	0.0335625	−	0.103295i
$894$	21.4178	+	24.4554i	0.716320	+	0.817910i
$895$	8.24319	−	1.30559i	0.275539	−	0.0436411i
$896$	−0.270823	+	0.379423i	−0.00904758	+	0.0126756i
$897$	9.23764	+	10.7977i	0.308436	+	0.360524i
$898$	14.4931	−	24.3237i	0.483642	−	0.811692i
$899$	−44.2099	−	7.00216i	−1.47448	−	0.233535i
$900$	−11.7695	+	88.4830i	−0.392317	+	2.94943i
$901$		−	9.50657i		−	0.316710i
$902$	−0.430984	−	8.73449i	−0.0143502	−	0.290827i
$903$	−0.600934	−	0.600934i	−0.0199978	−	0.0199978i
$904$	29.8810	+	32.4555i	0.993826	+	1.07945i
$905$	−8.80109	−	1.39396i	−0.292558	−	0.0463367i
$906$	−24.8212	+	41.6573i	−0.824630	+	1.38397i
$907$	−12.7867	−	39.3533i	−0.424575	−	1.30671i	−0.903401	−	0.428796i	$-0.858938\pi$
$907$	−12.7867	−	39.3533i	−0.424575	−	1.30671i	0.478827	−	0.877909i	$-0.341062\pi$
$908$	5.03876	+	1.49989i	0.167217	+	0.0497755i
$909$	−2.25162	+	3.09909i	−0.0746815	+	0.102790i
$910$	0.812926	−	0.276099i	0.0269482	−	0.00915260i
$911$	31.0406	+	10.0857i	1.02842	+	0.334154i	0.774165	−	0.632983i	$-0.218170\pi$
$911$	31.0406	+	10.0857i	1.02842	+	0.334154i	0.254255	+	0.967137i	$0.418170\pi$
$912$	−4.14133	+	9.23498i	−0.137133	+	0.305801i
$913$	−33.1127	+	30.4627i	−1.09587	+	1.00817i
$914$	31.3206	−	2.85682i	1.03599	−	0.0944952i
$915$	−70.0291	+	35.6816i	−2.31509	+	1.17960i
$916$	−0.648166	−	26.0867i	−0.0214160	−	0.861927i
$917$	−0.0237324	−	0.149841i	−0.000783713	−	0.00494817i
$918$	−7.25984	+	18.1616i	−0.239611	+	0.599423i
$919$	−25.2922	+	8.21793i	−0.834313	+	0.271085i	−0.694861	−	0.719144i	$-0.744534\pi$
$919$	−25.2922	+	8.21793i	−0.834313	+	0.271085i	−0.139452	+	0.990229i	$0.544534\pi$
$920$	−6.07223	+	16.3583i	−0.200195	+	0.539317i
$921$	−36.6920	−	5.81143i	−1.20904	−	0.191493i
$922$	7.77637	−	34.2601i	0.256101	−	1.12830i
$923$	2.15695	−	5.21962i	0.0709968	−	0.171806i
$924$	0.713400	+	0.0119979i	0.0234691	+	0.000394701i
$925$	55.4917	−	55.4917i	1.82456	−	1.82456i
$926$	5.36423	−	23.6330i	0.176280	−	0.776629i
$927$	24.1540	−	17.5489i	0.793320	−	0.576381i
$928$	−14.2161	−	20.2588i	−0.466667	−	0.665029i
$929$	2.61640	+	1.33312i	0.0858413	+	0.0437383i	0.496384	−	0.868103i	$-0.334661\pi$
$929$	2.61640	+	1.33312i	0.0858413	+	0.0437383i	−0.410543	+	0.911841i	$0.634661\pi$
$930$	−143.323	−	57.2913i	−4.69975	−	1.87866i
$931$	6.69948	−	1.06109i	0.219567	−	0.0347759i
$932$	−19.4707	+	20.4630i	−0.637785	+	0.670286i
$933$	9.58626	+	3.11476i	0.313840	+	0.101973i
$934$	15.0763	+	12.5559i	0.493311	+	0.410841i
$935$	76.7522	+	43.2244i	2.51007	+	1.41359i
$936$	−38.6316	−	4.61839i	−1.26271	−	0.150957i
$937$	−9.07022	+	27.9153i	−0.296311	+	0.911952i	0.686467	+	0.727161i	$0.259161\pi$
$937$	−9.07022	+	27.9153i	−0.296311	+	0.911952i	−0.982778	+	0.184791i	$0.940839\pi$
$938$	−0.331802	−	0.0219705i	−0.0108337	−	0.000717361i
$939$	−24.0702	+	33.1297i	−0.785500	+	1.08115i
$940$	13.0265	+	24.0687i	0.424879	+	0.785033i
$941$	−19.3908	−	9.88012i	−0.632123	−	0.322083i	0.108406	−	0.994107i	$-0.465425\pi$
$941$	−19.3908	−	9.88012i	−0.632123	−	0.322083i	−0.740530	+	0.672024i	$0.765425\pi$
$942$	59.0483	−	14.9543i	1.92390	−	0.487237i
$943$	0.440323	−	2.78009i	0.0143389	−	0.0905323i
$944$	36.7045	+	33.2272i	1.19463	+	1.08145i
$945$	0.358282			0.0116549
$946$	36.2718	−	7.59399i	1.17930	−	0.246902i
$947$	40.0776	−	40.0776i	1.30235	−	1.30235i	0.375541	−	0.926806i	$-0.377457\pi$
$947$	40.0776	−	40.0776i	1.30235	−	1.30235i	0.926806	−	0.375541i	$-0.122543\pi$
$948$	−18.5200	−	2.46342i	−0.601501	−	0.0800083i
$949$	−8.69903	−	36.1016i	−0.282382	−	1.17191i
$950$	13.7753	+	8.20790i	0.446928	+	0.266300i
$951$	22.6252	−	44.4044i	0.733671	−	1.43991i
$952$	0.419549	+	0.630636i	0.0135977	+	0.0204390i
$953$	6.69421	−	9.21378i	0.216847	−	0.298464i	−0.686711	−	0.726931i	$-0.740946\pi$
$953$	6.69421	−	9.21378i	0.216847	−	0.298464i	0.903557	+	0.428467i	$0.140946\pi$
$954$	7.87447	+	0.521413i	0.254946	+	0.0168814i
$955$	−21.6598	+	11.0362i	−0.700895	+	0.357124i
$956$	14.2726	−	20.7073i	0.461609	−	0.669723i
$957$	−13.1960	+	35.5079i	−0.426565	+	1.14781i
$958$	11.4524	−	1.04460i	0.370009	−	0.0337494i
$959$	−0.0739845	+	0.227701i	−0.00238909	+	0.00735285i
$960$	−32.3423	−	78.9767i	−1.04384	−	2.54896i
$961$	43.3033	−	59.6018i	1.39688	−	1.92264i
$962$	24.5055	+	23.8644i	0.790090	+	0.769420i
$963$	−32.2801	+	10.4885i	−1.04021	+	0.337986i
$964$	35.0799	−	12.3696i	1.12985	−	0.398400i
$965$	69.2498	−	50.3129i	2.22923	−	1.61963i
$966$	0.223954	+	0.0508333i	0.00720562	+	0.00163553i
$967$	−42.9991	−	42.9991i	−1.38276	−	1.38276i	−0.839685	−	0.543074i	$-0.817260\pi$
$967$	−42.9991	−	42.9991i	−1.38276	−	1.38276i	−0.543074	−	0.839685i	$-0.682740\pi$
$968$	−17.4604	+	25.7514i	−0.561198	+	0.827682i
$969$	11.6285	+	11.6285i	0.373562	+	0.373562i
$970$	−14.3168	−	22.7244i	−0.459684	−	0.729636i
$971$	−8.76164	−	12.0594i	−0.281174	−	0.387003i	0.644948	−	0.764226i	$-0.276879\pi$
$971$	−8.76164	−	12.0594i	−0.281174	−	0.387003i	−0.926122	+	0.377223i	$0.876879\pi$
$972$	39.2567	+	18.7890i	1.25916	+	0.602658i
$973$	−0.00318349	+	0.00624795i	−0.000102058	+	0.000200300i
$974$	26.1716	−	11.2235i	0.838592	−	0.359623i
$975$	−25.6162	+	107.092i	−0.820376	+	3.42969i
$976$	16.1167	−	24.6727i	0.515883	−	0.789754i
$977$	−1.72051	−	3.37670i	−0.0550441	−	0.108030i	0.861846	−	0.507171i	$-0.169309\pi$
$977$	−1.72051	−	3.37670i	−0.0550441	−	0.108030i	−0.916890	+	0.399140i	$0.869309\pi$
$978$	0.342066	+	3.75022i	0.0109381	+	0.119919i
$979$	3.36002	+	7.33445i	0.107387	+	0.234410i
$980$	−32.4589	+	47.0929i	−1.03686	+	1.50433i
$981$	−0.156663	−	0.307468i	−0.00500186	−	0.00981671i
$982$	−45.9841	−	3.04486i	−1.46741	−	0.0971655i
$983$	−20.1722	+	3.19496i	−0.643393	+	0.101903i	−0.469601	−	0.882879i	$-0.655602\pi$
$983$	−20.1722	+	3.19496i	−0.643393	+	0.101903i	−0.173792	+	0.984782i	$0.555602\pi$
$984$	7.62548	+	11.4621i	0.243091	+	0.365398i
$985$	−1.35805	+	0.441256i	−0.0432710	+	0.0140596i
$986$	−38.9830	+	9.87265i	−1.24147	+	0.314409i
$987$	0.291404	−	0.211717i	0.00927549	−	0.00673904i
$988$	−3.49768	+	6.05109i	−0.111276	+	0.192511i
$989$	11.9278			0.379281
$990$	−40.0133	+	61.2046i	−1.27171	+	1.94521i
$991$		−	14.3277i		−	0.455133i	−0.973763	−	0.227567i	$-0.926923\pi$
$991$		−	14.3277i		−	0.455133i	0.973763	−	0.227567i	$-0.0730770\pi$
$992$	57.3034	−	8.11292i	1.81939	−	0.257586i
$993$	6.32655	−	39.9443i	0.200767	−	1.26759i
$994$	−0.0224083	−	0.0884809i	−0.000710747	−	0.00280645i
$995$	−54.3433	−	27.6893i	−1.72280	−	0.877810i
$996$	20.2079	−	67.8869i	0.640311	−	2.15108i
$997$	−13.4261	−	9.75466i	−0.425210	−	0.308933i	0.354521	−	0.935048i	$-0.384644\pi$
$997$	−13.4261	−	9.75466i	−0.425210	−	0.308933i	−0.779731	+	0.626115i	$0.784644\pi$
$998$	−15.6736	−	17.8965i	−0.496140	−	0.566504i
$999$	6.48057	+	12.7188i	0.205036	+	0.402406i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bk.a.31.15	✓	640
4.3	odd	2	inner	572.2.bk.a.31.72	yes	640
11.5	even	5	inner	572.2.bk.a.291.50	yes	640
13.8	odd	4	inner	572.2.bk.a.515.25	yes	640
44.27	odd	10	inner	572.2.bk.a.291.25	yes	640
52.47	even	4	inner	572.2.bk.a.515.50	yes	640
143.60	odd	20	inner	572.2.bk.a.203.72	yes	640
572.203	even	20	inner	572.2.bk.a.203.15	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bk.a.31.15	✓	640	1.1	even	1	trivial
572.2.bk.a.31.72	yes	640	4.3	odd	2	inner
572.2.bk.a.203.15	yes	640	572.203	even	20	inner
572.2.bk.a.203.72	yes	640	143.60	odd	20	inner
572.2.bk.a.291.25	yes	640	44.27	odd	10	inner
572.2.bk.a.291.50	yes	640	11.5	even	5	inner
572.2.bk.a.515.25	yes	640	13.8	odd	4	inner
572.2.bk.a.515.50	yes	640	52.47	even	4	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.bk (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.19654 + 0.753844i) q^{2} +(1.53446 + 2.11200i) q^{3} +(0.863437 - 1.80402i) q^{4} +(3.64099 + 1.85518i) q^{5} +(-3.42817 - 1.37036i) q^{6} +(-0.0406960 + 0.00644561i) q^{7} +(0.326806 + 2.80948i) q^{8} +(-1.17893 + 3.62839i) q^{9} +O(q^{10})\)	\(q+(-1.19654 + 0.753844i) q^{2} +(1.53446 + 2.11200i) q^{3} +(0.863437 - 1.80402i) q^{4} +(3.64099 + 1.85518i) q^{5} +(-3.42817 - 1.37036i) q^{6} +(-0.0406960 + 0.00644561i) q^{7} +(0.326806 + 2.80948i) q^{8} +(-1.17893 + 3.62839i) q^{9} +(-5.75512 + 0.524938i) q^{10} +(-3.10888 - 1.15537i) q^{11} +(5.13499 - 0.944608i) q^{12} +(3.59420 - 0.285881i) q^{13} +(0.0438356 - 0.0383909i) q^{14} +(1.66881 + 10.5365i) q^{15} +(-2.50895 - 3.11531i) q^{16} +(-6.18131 + 2.00843i) q^{17} +(-1.32459 - 5.23026i) q^{18} +(-0.957301 - 0.151622i) q^{19} +(6.49054 - 4.96658i) q^{20} +(-0.0760595 - 0.0760595i) q^{21} +(4.59088 - 0.961162i) q^{22} +1.50968 q^{23} +(-5.43216 + 5.00125i) q^{24} +(6.87621 + 9.46429i) q^{25} +(-4.08511 + 3.05154i) q^{26} +(-2.02377 + 0.657562i) q^{27} +(-0.0235105 + 0.0789816i) q^{28} +(-3.53950 - 2.57160i) q^{29} +(-9.93967 - 11.3493i) q^{30} +(9.11582 - 4.64474i) q^{31} +(5.35053 + 1.83625i) q^{32} +(-2.33031 - 8.33882i) q^{33} +(5.88217 - 7.06293i) q^{34} +(-0.160132 - 0.0520299i) q^{35} +(5.52774 + 5.25970i) q^{36} +(-1.04941 - 6.62571i) q^{37} +(1.25975 - 0.540234i) q^{38} +(6.11893 + 7.15228i) q^{39} +(-4.02219 + 10.8356i) q^{40} +(0.291667 - 1.84151i) q^{41} +(0.148346 + 0.0336715i) q^{42} +7.90085 q^{43} +(-4.76862 + 4.61088i) q^{44} +(-11.0238 + 11.0238i) q^{45} +(-1.80640 + 1.13806i) q^{46} +(-0.523844 + 3.30742i) q^{47} +(2.72966 - 10.0792i) q^{48} +(-6.65578 + 2.16259i) q^{49} +(-15.3623 - 6.14086i) q^{50} +(-13.7268 - 9.97309i) q^{51} +(2.58763 - 6.73084i) q^{52} +(-0.451993 + 1.39109i) q^{53} +(1.92583 - 2.31241i) q^{54} +(-9.17599 - 9.97421i) q^{55} +(-0.0314086 - 0.112228i) q^{56} +(-1.14871 - 2.25448i) q^{57} +(6.17376 + 0.408799i) q^{58} +(-12.2252 + 1.93628i) q^{59} +(20.4489 + 6.08702i) q^{60} +(2.27670 + 7.00695i) q^{61} +(-7.40608 + 12.4296i) q^{62} +(0.0245907 - 0.155260i) q^{63} +(-7.78640 + 1.83631i) q^{64} +(13.6168 + 5.62699i) q^{65} +(9.07449 + 8.22108i) q^{66} +(-4.03522 - 4.03522i) q^{67} +(-1.71394 + 12.8853i) q^{68} +(2.31654 + 3.18845i) q^{69} +(0.230827 - 0.0584582i) q^{70} +(0.711130 - 1.39567i) q^{71} +(-10.5792 - 2.12642i) q^{72} +(-1.61118 - 10.1726i) q^{73} +(6.25042 + 7.13686i) q^{74} +(-9.43734 + 29.0451i) q^{75} +(-1.10010 + 1.59607i) q^{76} +(0.133966 + 0.0269802i) q^{77} +(-12.7133 - 3.94530i) q^{78} +(-3.40321 - 1.10577i) q^{79} +(-3.35562 - 15.9974i) q^{80} +(4.76531 + 3.46220i) q^{81} +(1.03922 + 2.42332i) q^{82} +(6.15888 - 12.0875i) q^{83} +(-0.202885 + 0.0715400i) q^{84} +(-26.2321 - 4.15476i) q^{85} +(-9.45371 + 5.95601i) q^{86} -11.4214i q^{87} +(2.22998 - 9.11192i) q^{88} +(-1.71999 - 1.71999i) q^{89} +(4.88024 - 21.5007i) q^{90} +(-0.144427 + 0.0348010i) q^{91} +(1.30352 - 2.72349i) q^{92} +(23.7976 + 12.1255i) q^{93} +(-1.86648 - 4.35237i) q^{94} +(-3.20424 - 2.32802i) q^{95} +(4.33201 + 14.1180i) q^{96} +(2.10995 + 4.14100i) q^{97} +(6.33368 - 7.60506i) q^{98} +(7.85729 - 9.91812i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q - 6 q^{2} - 12 q^{5} - 14 q^{6} - 6 q^{8} + 120 q^{9}+O(q^{10}) \) 640 * q - 6 * q^2 - 12 * q^5 - 14 * q^6 - 6 * q^8 + 120 * q^9	\( 640 q - 6 q^{2} - 12 q^{5} - 14 q^{6} - 6 q^{8} + 120 q^{9} - 12 q^{13} + 4 q^{14} - 36 q^{16} - 10 q^{18} - 60 q^{20} - 56 q^{21} - 44 q^{22} - 14 q^{24} + 26 q^{26} - 14 q^{28} - 24 q^{29} - 16 q^{32} - 28 q^{33} + 12 q^{34} - 12 q^{37} + 4 q^{40} - 36 q^{41} - 8 q^{42} + 26 q^{44} - 16 q^{45} - 50 q^{46} + 48 q^{48} + 36 q^{50} - 52 q^{52} - 40 q^{53} + 116 q^{54} - 36 q^{57} - 70 q^{58} + 52 q^{60} - 8 q^{61} - 48 q^{65} - 228 q^{66} - 44 q^{68} - 68 q^{70} - 38 q^{72} - 12 q^{73} - 12 q^{74} + 108 q^{76} + 108 q^{78} + 62 q^{80} - 168 q^{81} - 36 q^{84} - 52 q^{85} - 62 q^{86} + 16 q^{89} - 80 q^{92} - 4 q^{93} - 124 q^{94} - 132 q^{96} - 4 q^{97} - 108 q^{98}+O(q^{100}) \) 640 * q - 6 * q^2 - 12 * q^5 - 14 * q^6 - 6 * q^8 + 120 * q^9 - 12 * q^13 + 4 * q^14 - 36 * q^16 - 10 * q^18 - 60 * q^20 - 56 * q^21 - 44 * q^22 - 14 * q^24 + 26 * q^26 - 14 * q^28 - 24 * q^29 - 16 * q^32 - 28 * q^33 + 12 * q^34 - 12 * q^37 + 4 * q^40 - 36 * q^41 - 8 * q^42 + 26 * q^44 - 16 * q^45 - 50 * q^46 + 48 * q^48 + 36 * q^50 - 52 * q^52 - 40 * q^53 + 116 * q^54 - 36 * q^57 - 70 * q^58 + 52 * q^60 - 8 * q^61 - 48 * q^65 - 228 * q^66 - 44 * q^68 - 68 * q^70 - 38 * q^72 - 12 * q^73 - 12 * q^74 + 108 * q^76 + 108 * q^78 + 62 * q^80 - 168 * q^81 - 36 * q^84 - 52 * q^85 - 62 * q^86 + 16 * q^89 - 80 * q^92 - 4 * q^93 - 124 * q^94 - 132 * q^96 - 4 * q^97 - 108 * q^98

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