LMFDB - Embedded newform 152.2.t.a.101.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [152,2,Mod(5,152)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(152, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 9, 16]))

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

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

chi := DirichletCharacter("152.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 152 = 2^{3} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	152.t (of order $18$, degree $6$, 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:	$1.21372611072$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$18$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			101.5
Character	$\chi$	$=$	152.101
Dual form			152.2.t.a.149.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.07563 - 0.918164i) q^{2} +(1.08818 - 2.98974i) q^{3} +(0.313950 + 1.97521i) q^{4} +(-3.40808 + 0.600936i) q^{5} +(-3.91555 + 2.21673i) q^{6} +(1.17193 - 2.02985i) q^{7} +(1.47587 - 2.41284i) q^{8} +(-5.45631 - 4.57839i) q^{9} +O(q^{10})$	\(q+(-1.07563 - 0.918164i) q^{2} +(1.08818 - 2.98974i) q^{3} +(0.313950 + 1.97521i) q^{4} +(-3.40808 + 0.600936i) q^{5} +(-3.91555 + 2.21673i) q^{6} +(1.17193 - 2.02985i) q^{7} +(1.47587 - 2.41284i) q^{8} +(-5.45631 - 4.57839i) q^{9} +(4.21758 + 2.48279i) q^{10} +(-1.02572 + 0.592202i) q^{11} +(6.24699 + 1.21074i) q^{12} +(0.845759 + 2.32370i) q^{13} +(-3.12429 + 1.10733i) q^{14} +(-1.91195 + 10.8432i) q^{15} +(-3.80287 + 1.24023i) q^{16} +(1.96664 - 1.65021i) q^{17} +(1.66525 + 9.93442i) q^{18} +(2.52090 - 3.55599i) q^{19} +(-2.25694 - 6.54299i) q^{20} +(-4.79345 - 5.71261i) q^{21} +(1.64703 + 0.304794i) q^{22} +(0.0208965 - 0.118510i) q^{23} +(-5.60778 - 7.03807i) q^{24} +(6.55540 - 2.38597i) q^{25} +(1.22382 - 3.27598i) q^{26} +(-11.3595 + 6.55844i) q^{27} +(4.37729 + 1.67754i) q^{28} +(3.07076 - 3.65959i) q^{29} +(12.0124 - 9.90777i) q^{30} +(0.669081 - 1.15888i) q^{31} +(5.22921 + 2.15763i) q^{32} +(0.654362 + 3.71107i) q^{33} +(-3.63053 - 0.0306897i) q^{34} +(-2.77423 + 7.62213i) q^{35} +(7.33024 - 12.2147i) q^{36} -3.90798i q^{37} +(-5.97653 + 1.51032i) q^{38} +7.86762 q^{39} +(-3.57991 + 9.11006i) q^{40} +(-1.30336 - 0.474384i) q^{41} +(-0.0891462 + 10.5458i) q^{42} +(9.95798 - 1.75586i) q^{43} +(-1.49175 - 1.84009i) q^{44} +(21.3468 + 12.3246i) q^{45} +(-0.131288 + 0.108286i) q^{46} +(-2.76097 - 2.31673i) q^{47} +(-0.430227 + 12.7192i) q^{48} +(0.753150 + 1.30449i) q^{49} +(-9.24188 - 3.45251i) q^{50} +(-2.79364 - 7.67546i) q^{51} +(-4.32426 + 2.40007i) q^{52} +(5.70289 + 1.00557i) q^{53} +(18.2404 + 3.37549i) q^{54} +(3.13987 - 2.63466i) q^{55} +(-3.16808 - 5.82347i) q^{56} +(-7.88831 - 11.4064i) q^{57} +(-6.66309 + 1.11689i) q^{58} +(5.32540 + 6.34656i) q^{59} +(-22.0178 - 0.372270i) q^{60} +(-11.6780 - 2.05914i) q^{61} +(-1.78373 + 0.632200i) q^{62} +(-15.6878 + 5.70991i) q^{63} +(-3.64362 - 7.12208i) q^{64} +(-4.27881 - 7.41111i) q^{65} +(2.70352 - 4.59254i) q^{66} +(-7.80137 + 9.29731i) q^{67} +(3.87692 + 3.36643i) q^{68} +(-0.331576 - 0.191435i) q^{69} +(9.98240 - 5.65137i) q^{70} +(0.0402554 + 0.228300i) q^{71} +(-19.0997 + 6.40812i) q^{72} +(2.45049 + 0.891907i) q^{73} +(-3.58817 + 4.20354i) q^{74} -22.1953i q^{75} +(7.81524 + 3.86290i) q^{76} +2.77608i q^{77} +(-8.46262 - 7.22376i) q^{78} +(15.4218 + 5.61308i) q^{79} +(12.2152 - 6.51208i) q^{80} +(3.53631 + 20.0554i) q^{81} +(0.966367 + 1.70696i) q^{82} +(6.76703 + 3.90695i) q^{83} +(9.77868 - 11.2615i) q^{84} +(-5.71078 + 6.80585i) q^{85} +(-12.3232 - 7.25441i) q^{86} +(-7.59970 - 13.1631i) q^{87} +(-0.0849438 + 3.34892i) q^{88} +(-6.23789 + 2.27041i) q^{89} +(-11.6452 - 32.8566i) q^{90} +(5.70793 + 1.00646i) q^{91} +(0.240642 + 0.00406870i) q^{92} +(-2.73668 - 3.26145i) q^{93} +(0.842639 + 5.02696i) q^{94} +(-6.45450 + 13.6340i) q^{95} +(12.1411 - 13.2861i) q^{96} +(-12.0408 + 10.1034i) q^{97} +(0.387630 - 2.09467i) q^{98} +(8.30799 + 1.46492i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/152\mathbb{Z}\right)^\times$.

$n$	$39$	$77$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{9}\right)$

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 $

$2$	−1.07563	−	0.918164i	−0.760584	−	0.649240i
$2$	−1.07563	−	0.918164i	−0.760584	−	0.649240i
$3$	1.08818	−	2.98974i	0.628260	−	1.72613i	−0.0575435	−	0.998343i	$-0.518327\pi$
$3$	1.08818	−	2.98974i	0.628260	−	1.72613i	0.685803	−	0.727787i	$-0.259451\pi$
$4$	0.313950	+	1.97521i	0.156975	+	0.987603i
$5$	−3.40808	+	0.600936i	−1.52414	+	0.268747i	−0.872058	−	0.489403i	$-0.837215\pi$
$5$	−3.40808	+	0.600936i	−1.52414	+	0.268747i	−0.652080	+	0.758150i	$0.726104\pi$
$6$	−3.91555	+	2.21673i	−1.59852	+	0.904975i
$7$	1.17193	−	2.02985i	0.442949	−	0.767210i	−0.554958	−	0.831878i	$-0.687266\pi$
$7$	1.17193	−	2.02985i	0.442949	−	0.767210i	0.997907	+	0.0646686i	$0.0205990\pi$
$8$	1.47587	−	2.41284i	0.521798	−	0.853069i
$9$	−5.45631	−	4.57839i	−1.81877	−	1.52613i
$10$	4.21758	+	2.48279i	1.33372	+	0.785127i
$11$	−1.02572	+	0.592202i	−0.309267	+	0.178556i	−0.646599	−	0.762830i	$-0.723809\pi$
$11$	−1.02572	+	0.592202i	−0.309267	+	0.178556i	0.337331	+	0.941386i	$0.390476\pi$
$12$	6.24699	+	1.21074i	1.80335	+	0.349512i
$13$	0.845759	+	2.32370i	0.234571	+	0.644479i	1.00000		0.000958068i	$0.000304963\pi$
$13$	0.845759	+	2.32370i	0.234571	+	0.644479i	−0.765428	+	0.643521i	$0.777473\pi$
$14$	−3.12429	+	1.10733i	−0.835003	+	0.295947i
$15$	−1.91195	+	10.8432i	−0.493663	+	2.79970i
$16$	−3.80287	+	1.24023i	−0.950718	+	0.310058i
$17$	1.96664	−	1.65021i	0.476980	−	0.400234i	−0.372353	−	0.928091i	$-0.621449\pi$
$17$	1.96664	−	1.65021i	0.476980	−	0.400234i	0.849333	+	0.527858i	$0.177005\pi$
$18$	1.66525	+	9.93442i	0.392502	+	2.34157i
$19$	2.52090	−	3.55599i	0.578334	−	0.815800i
$19$	2.52090	−	3.55599i	0.578334	−	0.815800i
$20$	−2.25694	−	6.54299i	−0.504666	−	1.46306i
$21$	−4.79345	−	5.71261i	−1.04602	−	1.24659i
$22$	1.64703	+	0.304794i	0.351149	+	0.0649823i
$23$	0.0208965	−	0.118510i	0.00435722	−	0.0247110i	−0.982552	−	0.185990i	$-0.940451\pi$
$23$	0.0208965	−	0.118510i	0.00435722	−	0.0247110i	0.986909	+	0.161279i	$0.0515619\pi$
$24$	−5.60778	−	7.03807i	−1.14468	−	1.43664i
$25$	6.55540	−	2.38597i	1.31108	−	0.477194i
$26$	1.22382	−	3.27598i	0.240011	−	0.642473i
$27$	−11.3595	+	6.55844i	−2.18615	+	1.26217i
$28$	4.37729	+	1.67754i	0.827230	+	0.317025i
$29$	3.07076	−	3.65959i	0.570225	−	0.679568i	−0.401452	−	0.915880i	$-0.631494\pi$
$29$	3.07076	−	3.65959i	0.570225	−	0.679568i	0.971677	+	0.236312i	$0.0759388\pi$
$30$	12.0124	−	9.90777i	2.19315	−	1.80890i
$31$	0.669081	−	1.15888i	0.120170	−	0.208141i	−0.799664	−	0.600447i	$-0.794989\pi$
$31$	0.669081	−	1.15888i	0.120170	−	0.208141i	0.919835	+	0.392306i	$0.128323\pi$
$32$	5.22921	+	2.15763i	0.924402	+	0.381419i
$33$	0.654362	+	3.71107i	0.113910	+	0.646015i
$34$	−3.63053	−	0.0306897i	−0.622631	−	0.00526324i
$35$	−2.77423	+	7.62213i	−0.468930	+	1.28837i
$36$	7.33024	−	12.2147i	1.22171	−	2.03579i
$37$		−	3.90798i		−	0.642469i	−0.947000	−	0.321234i	$-0.895902\pi$
$37$		−	3.90798i		−	0.642469i	0.947000	−	0.321234i	$-0.104098\pi$
$38$	−5.97653	+	1.51032i	−0.969522	+	0.245006i
$39$	7.86762			1.25983
$40$	−3.57991	+	9.11006i	−0.566034	+	1.44043i
$41$	−1.30336	−	0.474384i	−0.203551	−	0.0740863i	0.238233	−	0.971208i	$-0.423432\pi$
$41$	−1.30336	−	0.474384i	−0.203551	−	0.0740863i	−0.441783	+	0.897122i	$0.645654\pi$
$42$	−0.0891462	+	10.5458i	−0.0137556	+	1.62725i
$43$	9.95798	−	1.75586i	1.51858	−	0.267766i	0.648704	−	0.761041i	$-0.275311\pi$
$43$	9.95798	−	1.75586i	1.51858	−	0.267766i	0.869874	+	0.493274i	$0.164200\pi$
$44$	−1.49175	−	1.84009i	−0.224889	−	0.277404i
$45$	21.3468	+	12.3246i	3.18220	+	1.83724i
$46$	−0.131288	+	0.108286i	−0.0193574	+	0.0159659i
$47$	−2.76097	−	2.31673i	−0.402729	−	0.337930i	0.418818	−	0.908070i	$-0.362444\pi$
$47$	−2.76097	−	2.31673i	−0.402729	−	0.337930i	−0.821547	+	0.570140i	$0.806889\pi$
$48$	−0.430227	+	12.7192i	−0.0620980	+	1.83586i
$49$	0.753150	+	1.30449i	0.107593	+	0.186356i
$50$	−9.24188	−	3.45251i	−1.30700	−	0.488259i
$51$	−2.79364	−	7.67546i	−0.391188	−	1.07478i
$52$	−4.32426	+	2.40007i	−0.599668	+	0.332830i
$53$	5.70289	+	1.00557i	0.783352	+	0.138126i	0.550999	−	0.834506i	$-0.314247\pi$
$53$	5.70289	+	1.00557i	0.783352	+	0.138126i	0.232352	+	0.972632i	$0.425358\pi$
$54$	18.2404	+	3.37549i	2.48220	+	0.459346i
$55$	3.13987	−	2.63466i	0.423380	−	0.355258i
$56$	−3.16808	−	5.82347i	−0.423353	−	0.778195i
$57$	−7.88831	−	11.4064i	−1.04483	−	1.51081i
$58$	−6.66309	+	1.11689i	−0.874907	+	0.146655i
$59$	5.32540	+	6.34656i	0.693308	+	0.826252i	0.991752	−	0.128175i	$-0.0409120\pi$
$59$	5.32540	+	6.34656i	0.693308	+	0.826252i	−0.298444	+	0.954427i	$0.596468\pi$
$60$	−22.0178	−	0.372270i	−2.84249	−	0.0480598i
$61$	−11.6780	−	2.05914i	−1.49521	−	0.263646i	−0.634572	−	0.772864i	$-0.718824\pi$
$61$	−11.6780	−	2.05914i	−1.49521	−	0.263646i	−0.860638	+	0.509218i	$0.829935\pi$
$62$	−1.78373	+	0.632200i	−0.226533	+	0.0802894i
$63$	−15.6878	+	5.70991i	−1.97648	+	0.719381i
$64$	−3.64362	−	7.12208i	−0.455453	−	0.890260i
$65$	−4.27881	−	7.41111i	−0.530721	−	0.919235i
$66$	2.70352	−	4.59254i	0.332781	−	0.565303i
$67$	−7.80137	+	9.29731i	−0.953089	+	1.13585i	0.0375441	+	0.999295i	$0.488047\pi$
$67$	−7.80137	+	9.29731i	−0.953089	+	1.13585i	−0.990633	+	0.136552i	$0.956398\pi$
$68$	3.87692	+	3.36643i	0.470146	+	0.408240i
$69$	−0.331576	−	0.191435i	−0.0399170	−	0.0230461i
$70$	9.98240	−	5.65137i	1.19312	−	0.675468i
$71$	0.0402554	+	0.228300i	0.00477743	+	0.0270942i	0.987103	−	0.160085i	$-0.0511767\pi$
$71$	0.0402554	+	0.228300i	0.00477743	+	0.0270942i	−0.982326	+	0.187179i	$0.940066\pi$
$72$	−19.0997	+	6.40812i	−2.25092	+	0.755204i
$73$	2.45049	+	0.891907i	0.286809	+	0.104390i	0.481418	−	0.876491i	$-0.340122\pi$
$73$	2.45049	+	0.891907i	0.286809	+	0.104390i	−0.194610	+	0.980881i	$0.562344\pi$
$74$	−3.58817	+	4.20354i	−0.417116	+	0.488651i
$75$		−	22.1953i		−	2.56290i
$76$	7.81524	+	3.86290i	0.896470	+	0.443104i
$77$			2.77608i			0.316364i
$78$	−8.46262	−	7.22376i	−0.958204	−	0.817930i
$79$	15.4218	+	5.61308i	1.73509	+	0.631520i	0.998972	−	0.0453351i	$-0.0144356\pi$
$79$	15.4218	+	5.61308i	1.73509	+	0.631520i	0.736116	+	0.676855i	$0.236658\pi$
$80$	12.2152	−	6.51208i	1.36570	−	0.728073i
$81$	3.53631	+	20.0554i	0.392923	+	2.22838i
$82$	0.966367	+	1.70696i	0.106717	+	0.188502i
$83$	6.76703	+	3.90695i	0.742778	+	0.428843i	0.823079	−	0.567927i	$-0.192255\pi$
$83$	6.76703	+	3.90695i	0.742778	+	0.428843i	−0.0803003	+	0.996771i	$0.525588\pi$
$84$	9.77868	−	11.2615i	1.06694	−	1.22873i
$85$	−5.71078	+	6.80585i	−0.619422	+	0.738198i
$86$	−12.3232	−	7.25441i	−1.32885	−	0.782263i
$87$	−7.59970	−	13.1631i	−0.814773	−	1.41123i
$88$	−0.0849438	+	3.34892i	−0.00905504	+	0.356996i
$89$	−6.23789	+	2.27041i	−0.661215	+	0.240663i	−0.650761	−	0.759283i	$-0.725550\pi$
$89$	−6.23789	+	2.27041i	−0.661215	+	0.240663i	−0.0104541	+	0.999945i	$0.503328\pi$
$90$	−11.6452	−	32.8566i	−1.22752	−	3.46339i
$91$	5.70793	+	1.00646i	0.598354	+	0.105506i
$92$	0.240642	+	0.00406870i	0.0250887	+	0.000424191i
$93$	−2.73668	−	3.26145i	−0.283781	−	0.338197i
$94$	0.842639	+	5.02696i	0.0869116	+	0.518492i
$95$	−6.45450	+	13.6340i	−0.662218	+	1.39882i
$96$	12.1411	−	13.2861i	1.23914	−	1.35601i
$97$	−12.0408	+	10.1034i	−1.22256	+	1.02585i	−0.223872	+	0.974618i	$0.571870\pi$
$97$	−12.0408	+	10.1034i	−1.22256	+	1.02585i	−0.998687	+	0.0512304i	$0.983686\pi$
$98$	0.387630	−	2.09467i	0.0391566	−	0.211593i
$99$	8.30799	+	1.46492i	0.834985	+	0.147230i
$100$	6.77085	+	12.1992i	0.677085	+	1.21992i
$101$	1.06176	+	2.91717i	0.105649	+	0.290269i	0.981242	−	0.192782i	$-0.0617509\pi$
$101$	1.06176	+	2.91717i	0.105649	+	0.290269i	−0.875592	+	0.483051i	$0.839529\pi$
$102$	−4.04242	+	10.8210i	−0.400259	+	1.07143i
$103$	−1.35409	−	2.34535i	−0.133422	−	0.231094i	0.791571	−	0.611077i	$-0.209263\pi$
$103$	−1.35409	−	2.34535i	−0.133422	−	0.231094i	−0.924994	+	0.379982i	$0.875930\pi$
$104$	6.85496	+	1.38880i	0.672184	+	0.136183i
$105$	19.7694	+	16.5885i	1.92929	+	1.61887i
$106$	−5.21090	−	6.31781i	−0.506128	−	0.613640i
$107$	7.31350	+	4.22245i	0.707022	+	0.408199i	0.809958	−	0.586489i	$-0.199490\pi$
$107$	7.31350	+	4.22245i	0.707022	+	0.408199i	−0.102935	+	0.994688i	$0.532823\pi$
$108$	−16.5206	−	20.3784i	−1.58969	−	1.96091i
$109$	−16.2370	+	2.86302i	−1.55522	+	0.274228i	−0.884164	−	0.467176i	$-0.845271\pi$
$109$	−16.2370	+	2.86302i	−1.55522	+	0.274228i	−0.671059	+	0.741404i	$0.734160\pi$
$110$	−5.79638	−	0.0489982i	−0.552663	−	0.00467179i
$111$	−11.6839	−	4.25258i	−1.10898	−	0.403637i
$112$	−1.93923	+	9.17271i	−0.183240	+	0.866740i
$113$	10.6666			1.00343			0.501713	−	0.865034i	$-0.332703\pi$
$113$	10.6666			1.00343			0.501713	+	0.865034i	$0.332703\pi$
$114$	−1.98806	+	19.5118i	−0.186199	+	1.82745i
$115$			0.416449i			0.0388340i
$116$	8.19250	+	4.91645i	0.760654	+	0.456481i
$117$	6.02409	−	16.5511i	0.556927	−	1.53015i
$118$	0.0990391	−	11.7161i	0.00911729	−	1.07856i
$119$	−1.04490	−	5.92590i	−0.0957855	−	0.543226i
$120$	23.3412	+	20.6164i	2.13075	+	1.88201i
$121$	−4.79859	+	8.31141i	−0.436236	+	0.755583i
$122$	10.6705	+	12.9372i	0.966063	+	1.17127i
$123$	−2.83657	+	3.38050i	−0.255765	+	0.304809i
$124$	2.49909	+	0.957741i	0.224425	+	0.0860077i
$125$	−5.92242	+	3.41931i	−0.529717	+	0.305833i
$126$	22.1169	+	8.26228i	1.97033	+	0.736062i
$127$	0.954443	−	0.347389i	0.0846931	−	0.0308258i	−0.299326	−	0.954151i	$-0.596762\pi$
$127$	0.954443	−	0.347389i	0.0846931	−	0.0308258i	0.384019	+	0.923325i	$0.374540\pi$
$128$	−2.62006	+	11.0061i	−0.231583	+	0.972815i
$129$	5.58648	−	31.6825i	0.491862	−	2.78949i
$130$	−2.20221	+	11.9002i	−0.193147	+	1.04372i
$131$	−6.00242	−	7.15340i	−0.524434	−	0.624996i	0.437189	−	0.899369i	$-0.355974\pi$
$131$	−6.00242	−	7.15340i	−0.524434	−	0.624996i	−0.961623	+	0.274374i	$0.911529\pi$
$132$	−7.12469	+	2.45759i	−0.620125	+	0.213906i
$133$	−4.26378	−	9.28442i	−0.369717	−	0.805061i
$134$	16.9278	−	2.83751i	1.46234	−	0.245123i
$135$	34.7730	−	29.1780i	2.99278	−	2.51124i
$136$	−1.07919	−	7.18067i	−0.0925394	−	0.615738i
$137$	1.46134	−	8.28765i	0.124850	−	0.708062i	−0.856546	−	0.516070i	$-0.827394\pi$
$137$	1.46134	−	8.28765i	0.124850	−	0.708062i	0.981397	−	0.191992i	$-0.0614946\pi$
$138$	0.180883	+	0.510354i	0.0153978	+	0.0434442i
$139$	−2.44241	−	6.71045i	−0.207162	−	0.569173i	0.791982	−	0.610545i	$-0.209049\pi$
$139$	−2.44241	−	6.71045i	−0.207162	−	0.569173i	−0.999144	+	0.0413716i	$0.986827\pi$
$140$	−15.9262	−	3.08670i	−1.34601	−	0.260874i
$141$	−9.93086	+	5.73359i	−0.836329	+	0.482855i
$142$	0.166317	−	0.282526i	0.0139570	−	0.0237091i
$143$	−2.24362	−	1.88262i	−0.187621	−	0.157432i
$144$	26.4279	+	10.6439i	2.20232	+	0.886994i
$145$	−8.26620	+	14.3175i	−0.686470	+	1.18900i
$146$	−1.81690	−	3.20931i	−0.150368	−	0.265605i
$147$	4.71967	−	0.832204i	0.389271	−	0.0686391i
$148$	7.71907	−	1.22691i	0.634504	−	0.100851i
$149$	−2.34271	+	6.43654i	−0.191922	+	0.527302i	−0.997909	−	0.0646312i	$-0.979413\pi$
$149$	−2.34271	+	6.43654i	−0.191922	+	0.527302i	0.805987	+	0.591933i	$0.201635\pi$
$150$	−20.3789	+	23.8739i	−1.66393	+	1.94930i
$151$	−0.287736			−0.0234156			−0.0117078	−	0.999931i	$-0.503727\pi$
$151$	−0.287736			−0.0234156			−0.0117078	+	0.999931i	$0.503727\pi$
$152$	−4.85952	−	11.3307i	−0.394159	−	0.919042i
$153$	−18.2859			−1.47832
$154$	2.54890	−	2.98603i	0.205396	−	0.240621i
$155$	−1.58386	+	4.35163i	−0.127219	+	0.349532i
$156$	2.47004	+	15.5402i	0.197761	+	1.24421i
$157$	23.4957	−	4.14292i	1.87516	−	0.330641i	0.884449	−	0.466637i	$-0.154534\pi$
$157$	23.4957	−	4.14292i	1.87516	−	0.330641i	0.990709	+	0.135996i	$0.0434234\pi$
$158$	−11.4344	−	20.1973i	−0.909671	−	1.60681i
$159$	9.21216	−	15.9559i	0.730572	−	1.26539i
$160$	−19.1181	−	4.21096i	−1.51142	−	0.332905i
$161$	−0.216068	−	0.181302i	−0.0170285	−	0.0142886i
$162$	14.6104	−	24.8191i	1.14790	−	1.94997i
$163$	0.755554	−	0.436220i	0.0591796	−	0.0341674i	−0.470118	−	0.882603i	$-0.655789\pi$
$163$	0.755554	−	0.436220i	0.0591796	−	0.0341674i	0.529298	+	0.848436i	$0.322455\pi$
$164$	0.527816	−	2.72334i	0.0412155	−	0.212657i
$165$	−4.46023	−	12.2544i	−0.347229	−	0.954003i
$166$	−3.69159	−	10.4157i	−0.286523	−	0.808413i
$167$	−0.671499	+	3.80826i	−0.0519621	+	0.294692i	−0.999704	−	0.0243476i	$-0.992249\pi$
$167$	−0.671499	+	3.80826i	−0.0519621	+	0.294692i	0.947741	+	0.319039i	$0.103360\pi$
$168$	−20.8581	+	3.13478i	−1.60924	+	0.241853i
$169$	5.27429	−	4.42565i	0.405715	−	0.340435i
$170$	12.3916	−	2.07712i	0.950390	−	0.159308i
$171$	−30.0355	+	7.86091i	−2.29687	+	0.601139i
$172$	6.59449	+	19.1178i	0.502825	+	1.45772i
$173$	6.35606	+	7.57485i	0.483242	+	0.575905i	0.951485	−	0.307694i	$-0.0995574\pi$
$173$	6.35606	+	7.57485i	0.483242	+	0.575905i	−0.468243	+	0.883600i	$0.655113\pi$
$174$	−3.91140	+	21.1363i	−0.296523	+	1.60234i
$175$	2.83933	−	16.1026i	0.214633	−	1.21725i
$176$	3.16623	−	3.52420i	0.238663	−	0.265647i
$177$	24.7696	−	9.01539i	1.86180	−	0.677638i
$178$	8.79425	+	3.28529i	0.659157	+	0.246243i
$179$	11.1031	−	6.41038i	0.829885	−	0.479135i	−0.0239280	−	0.999714i	$-0.507617\pi$
$179$	11.1031	−	6.41038i	0.829885	−	0.479135i	0.853813	+	0.520579i	$0.174284\pi$
$180$	−17.6418	+	46.0337i	−1.31494	+	3.43115i
$181$	4.68072	−	5.57827i	0.347915	−	0.414629i	−0.563501	−	0.826116i	$-0.690546\pi$
$181$	4.68072	−	5.57827i	0.347915	−	0.414629i	0.911416	+	0.411486i	$0.134990\pi$
$182$	−5.21551	−	6.32340i	−0.386599	−	0.468721i
$183$	−18.8640	+	32.6734i	−1.39447	+	2.41529i
$184$	−0.255106	−	0.225325i	−0.0188066	−	0.0166112i
$185$	2.34845	+	13.3187i	0.172661	+	0.979211i
$186$	−0.0508955	+	6.02083i	−0.00373184	+	0.441469i
$187$	−1.03997	+	2.85730i	−0.0760503	+	0.208947i
$188$	3.70921	−	6.18082i	0.270522	−	0.450783i
$189$			30.7442i			2.23631i
$190$	19.4609	−	8.73880i	1.41184	−	0.633979i
$191$	−2.13801			−0.154701			−0.0773505	−	0.997004i	$-0.524646\pi$
$191$	−2.13801			−0.154701			−0.0773505	+	0.997004i	$0.524646\pi$
$192$	−25.2581	+	3.14341i	−1.82285	+	0.226856i
$193$	0.478232	+	0.174062i	0.0344239	+	0.0125293i	0.359175	−	0.933270i	$-0.383058\pi$
$193$	0.478232	+	0.174062i	0.0344239	+	0.0125293i	−0.324751	+	0.945800i	$0.605280\pi$
$194$	22.2280	+	0.187899i	1.59588	+	0.0134903i
$195$	−26.8134	+	4.72793i	−1.92015	+	0.338574i
$196$	−2.34019	+	1.89717i	−0.167157	+	0.135512i
$197$	−13.1963	−	7.61890i	−0.940200	−	0.542824i	−0.0501767	−	0.998740i	$-0.515978\pi$
$197$	−13.1963	−	7.61890i	−0.940200	−	0.542824i	−0.890023	+	0.455916i	$0.849312\pi$
$198$	−7.59127	−	9.20381i	−0.539488	−	0.654086i
$199$	−6.25277	−	5.24670i	−0.443247	−	0.371929i	0.393676	−	0.919249i	$-0.371203\pi$
$199$	−6.25277	−	5.24670i	−0.443247	−	0.371929i	−0.836923	+	0.547321i	$0.815648\pi$
$200$	3.91794	−	19.3385i	0.277040	−	1.36744i
$201$	19.3073	+	33.4412i	1.36183	+	2.35876i
$202$	1.53638	−	4.11266i	0.108099	−	0.289366i
$203$	−3.82968	−	10.5220i	−0.268791	−	0.738496i
$204$	14.2835	−	7.92772i	1.00005	−	0.555052i
$205$	4.72702	+	0.833502i	0.330150	+	0.0582143i
$206$	−0.696921	+	3.76600i	−0.0485568	+	0.262390i
$207$	−0.656602	+	0.550955i	−0.0456370	+	0.0382940i
$208$	−6.09824	−	7.78781i	−0.422837	−	0.539987i
$209$	−0.479885	+	5.14034i	−0.0331943	+	0.355565i
$210$	−6.03354	−	35.9945i	−0.416354	−	2.48386i
$211$	−7.85780	−	9.36456i	−0.540953	−	0.644683i	0.424448	−	0.905452i	$-0.360468\pi$
$211$	−7.85780	−	9.36456i	−0.540953	−	0.644683i	−0.965401	+	0.260769i	$0.916024\pi$
$212$	−0.195792	+	11.5801i	−0.0134471	+	0.795323i
$213$	0.726362	+	0.128077i	0.0497695	+	0.00877571i
$214$	−3.98970	−	11.2568i	−0.272730	−	0.769497i
$215$	−32.8824	+	11.9682i	−2.24256	+	0.816225i
$216$	−0.940725	+	37.0882i	−0.0640082	+	2.52353i
$217$	−1.56823	−	2.71626i	−0.106459	−	0.184392i
$218$	20.0937	+	11.8287i	1.36092	+	0.801140i
$219$	5.33315	−	6.35580i	0.360381	−	0.429485i
$220$	6.18976	+	5.37473i	0.417314	+	0.362364i
$221$	5.49789	+	3.17421i	0.369828	+	0.213520i
$222$	8.66293	+	15.3019i	0.581418	+	1.02700i
$223$	−2.61851	−	14.8503i	−0.175348	−	0.994449i	−0.937741	−	0.347334i	$-0.887087\pi$
$223$	−2.61851	−	14.8503i	−0.175348	−	0.994449i	0.762393	−	0.647114i	$-0.224024\pi$
$224$	10.5079	−	8.08589i	0.702091	−	0.540261i
$225$	−46.6922	−	16.9946i	−3.11281	−	1.13297i
$226$	−11.4733	−	9.79365i	−0.763189	−	0.651464i
$227$			1.30177i			0.0864018i	0.999066	+	0.0432009i	$0.0137555\pi$
$227$			1.30177i			0.0864018i	−0.999066	+	0.0432009i	$0.986244\pi$
$228$	20.0534	−	19.1621i	1.32807	−	1.26904i
$229$		−	22.1406i		−	1.46309i	−0.681791	−	0.731547i	$-0.738799\pi$
$229$		−	22.1406i		−	1.46309i	0.681791	−	0.731547i	$-0.261201\pi$
$230$	0.382368	−	0.447944i	0.0252126	−	0.0295365i
$231$	8.29977	+	3.02087i	0.546085	+	0.198759i
$232$	−4.29797	−	12.8103i	−0.282176	−	0.841039i
$233$	1.94319	+	11.0204i	0.127303	+	0.721969i	0.979914	+	0.199423i	$0.0639066\pi$
$233$	1.94319	+	11.0204i	0.127303	+	0.721969i	−0.852611	+	0.522546i	$0.824982\pi$
$234$	−21.6763	+	12.2717i	−1.41702	+	0.802224i
$235$	10.8018	+	6.23643i	0.704632	+	0.406820i
$236$	−10.8639	+	12.5113i	−0.707177	+	0.814413i
$237$	33.5633	−	39.9992i	2.18017	−	2.59823i
$238$	−4.31703	+	7.33345i	−0.279831	+	0.475357i
$239$	8.24981	+	14.2891i	0.533636	+	0.924284i	0.999228	+	0.0392847i	$0.0125079\pi$
$239$	8.24981	+	14.2891i	0.533636	+	0.924284i	−0.465592	+	0.884999i	$0.654159\pi$
$240$	−6.17718	−	43.6066i	−0.398735	−	2.81479i
$241$	−10.5909	+	3.85477i	−0.682219	+	0.248308i	−0.659800	−	0.751441i	$-0.729359\pi$
$241$	−10.5909	+	3.85477i	−0.682219	+	0.248308i	−0.0224191	+	0.999749i	$0.507137\pi$
$242$	12.7927	−	4.53409i	0.822348	−	0.291462i
$243$	25.0559	+	4.41803i	1.60734	+	0.283417i
$244$	0.400929	−	23.7128i	0.0256668	−	1.51806i
$245$	−3.35071	−	3.99322i	−0.214069	−	0.255118i
$246$	6.15495	−	1.03172i	0.392425	−	0.0657799i
$247$	10.3951	+	2.85032i	0.661427	+	0.181361i
$248$	−1.80872	−	3.32474i	−0.114854	−	0.211121i
$249$	19.0445	−	15.9802i	1.20690	−	1.01271i
$250$	9.50981	+	1.75985i	0.601453	+	0.111303i
$251$	13.4927	+	2.37913i	0.851652	+	0.150169i	0.582402	−	0.812901i	$-0.302113\pi$
$251$	13.4927	+	2.37913i	0.851652	+	0.150169i	0.269250	+	0.963070i	$0.413224\pi$
$252$	−16.2034	−	29.1941i	−1.02072	−	1.83905i
$253$	0.0487478	+	0.133933i	0.00306475	+	0.00842032i
$254$	−1.34559	−	0.502674i	−0.0844295	−	0.0315406i
$255$	14.1334	+	24.4798i	0.885068	+	1.53298i
$256$	12.9237	−	9.43288i	0.807728	−	0.589555i
$257$	−20.5932	−	17.2798i	−1.28457	−	1.07788i	−0.992597	−	0.121456i	$-0.961244\pi$
$257$	−20.5932	−	17.2798i	−1.28457	−	1.07788i	−0.291973	−	0.956427i	$-0.594312\pi$
$258$	−35.0987	+	28.9493i	−2.18515	+	1.80230i
$259$	−7.93261	−	4.57989i	−0.492908	−	0.284581i
$260$	13.2951	−	10.7782i	0.824529	−	0.668438i
$261$	−33.5100	+	5.90872i	−2.07422	+	0.365740i
$262$	−0.111630	+	13.2056i	−0.00689653	+	0.815845i
$263$	20.0379	+	7.29320i	1.23559	+	0.449718i	0.875509	−	0.483203i	$-0.160527\pi$
$263$	20.0379	+	7.29320i	1.23559	+	0.449718i	0.360082	+	0.932921i	$0.382749\pi$
$264$	9.91999	+	3.89818i	0.610533	+	0.239917i
$265$	−20.0402			−1.23106
$266$	−3.93837	+	13.9014i	−0.241477	+	0.852351i
$267$			21.1203i			1.29254i
$268$	−20.8133	−	12.4904i	−1.27138	−	0.762973i
$269$	−7.83667	+	21.5311i	−0.477810	+	1.31277i	0.433538	+	0.901135i	$0.357265\pi$
$269$	−7.83667	+	21.5311i	−0.477810	+	1.31277i	−0.911348	+	0.411637i	$0.864957\pi$
$270$	−64.1930	−	0.542638i	−3.90666	−	0.0330239i
$271$	−0.102669	−	0.582266i	−0.00623671	−	0.0353702i	0.981531	−	0.191305i	$-0.0612720\pi$
$271$	−0.102669	−	0.582266i	−0.00623671	−	0.0353702i	−0.987767	+	0.155935i	$0.950161\pi$
$272$	−5.43223	+	8.71460i	−0.329378	+	0.528400i
$273$	9.22031	−	15.9700i	0.558039	−	0.966551i
$274$	−9.18128	+	7.57268i	−0.554661	+	0.457482i
$275$	−5.31105	+	6.32946i	−0.320268	+	0.381681i
$276$	0.274026	−	0.715031i	0.0164944	−	0.0430398i
$277$	−13.5018	+	7.79524i	−0.811242	+	0.468371i	−0.847387	−	0.530976i	$-0.821825\pi$
$277$	−13.5018	+	7.79524i	−0.811242	+	0.468371i	0.0361451	+	0.999347i	$0.488492\pi$
$278$	−3.53418	+	9.46048i	−0.211966	+	0.567402i
$279$	−8.95652	+	3.25991i	−0.536213	+	0.195165i
$280$	14.2966	+	17.9430i	0.854385	+	1.07230i
$281$	2.47035	−	14.0101i	0.147369	−	0.835770i	−0.818066	−	0.575125i	$-0.804954\pi$
$281$	2.47035	−	14.0101i	0.147369	−	0.835770i	0.965435	−	0.260646i	$-0.0839354\pi$
$282$	15.9463	+	2.95096i	0.949587	+	0.175727i
$283$	−12.1407	−	14.4687i	−0.721688	−	0.860074i	0.273106	−	0.961984i	$-0.411949\pi$
$283$	−12.1407	−	14.4687i	−0.721688	−	0.860074i	−0.994794	+	0.101910i	$0.967505\pi$
$284$	−0.438300	+	0.151187i	−0.0260083	+	0.00897131i
$285$	33.7385	+	34.1335i	1.99849	+	2.02189i
$286$	0.684744	+	4.08500i	0.0404898	+	0.241551i
$287$	−2.49038	+	2.08967i	−0.147002	+	0.123350i
$288$	−18.6537	−	35.7140i	−1.09918	−	2.10447i
$289$	−1.80753	+	10.2510i	−0.106325	+	0.603001i
$290$	22.0371	−	7.81055i	1.29407	−	0.458651i
$291$	17.1042	+	46.9933i	1.00266	+	2.75480i
$292$	−0.992367	+	5.12024i	−0.0580739	+	0.299639i
$293$	−0.612296	+	0.353509i	−0.0357707	+	0.0206522i	−0.517779	−	0.855515i	$-0.673241\pi$
$293$	−0.612296	+	0.353509i	−0.0357707	+	0.0206522i	0.482008	+	0.876167i	$0.339908\pi$
$294$	−5.84070	−	3.43828i	−0.340637	−	0.200525i
$295$	−21.9632	−	18.4293i	−1.27875	−	1.07300i
$296$	−9.42935	−	5.76767i	−0.548070	−	0.335239i
$297$	7.76784	−	13.4543i	0.450736	−	0.780697i
$298$	8.42968	−	4.77233i	0.488318	−	0.276454i
$299$	0.293055	−	0.0516736i	0.0169478	−	0.00298836i
$300$	43.8403	−	6.96822i	2.53112	−	0.402310i
$301$	8.10595	−	22.2709i	0.467219	−	1.28367i
$302$	0.309497	+	0.264189i	0.0178095	+	0.0152024i
$303$	9.87698			0.567418
$304$	−5.17642	+	16.6495i	−0.296888	+	0.954912i
$305$	41.0368			2.34976
$306$	19.6688	+	16.7894i	1.12439	+	0.959787i
$307$	−3.55256	+	9.76058i	−0.202755	+	0.557066i	−0.998842	−	0.0481172i	$-0.984678\pi$
$307$	−3.55256	+	9.76058i	−0.202755	+	0.557066i	0.796086	+	0.605183i	$0.206900\pi$
$308$	−5.48333	+	0.871550i	−0.312442	+	0.0496612i
$309$	−8.48549	+	1.49622i	−0.482723	+	0.0851171i
$310$	5.69916	−	3.22649i	0.323691	−	0.183252i
$311$	−5.15027	+	8.92053i	−0.292045	+	0.505837i	−0.974293	−	0.225284i	$-0.927669\pi$
$311$	−5.15027	+	8.92053i	−0.292045	+	0.505837i	0.682248	+	0.731121i	$0.261002\pi$
$312$	11.6116	−	18.9833i	0.657376	−	1.07472i
$313$	−14.9966	−	12.5836i	−0.847657	−	0.711268i	0.111616	−	0.993751i	$-0.464397\pi$
$313$	−14.9966	−	12.5836i	−0.847657	−	0.711268i	−0.959272	+	0.282483i	$0.908842\pi$
$314$	−29.0765	−	17.1166i	−1.64088	−	0.965948i
$315$	50.0341	−	28.8872i	2.81910	−	1.62761i
$316$	−6.24530	+	32.2234i	−0.351326	+	1.81271i
$317$	7.03006	+	19.3149i	0.394848	+	1.08483i	0.964760	+	0.263130i	$0.0847547\pi$
$317$	7.03006	+	19.3149i	0.394848	+	1.08483i	−0.569913	+	0.821705i	$0.693023\pi$
$318$	−24.5590	+	8.70437i	−1.37720	+	0.488117i
$319$	−0.982535	+	5.57223i	−0.0550114	+	0.311985i
$320$	16.6977	+	22.0830i	0.933427	+	1.23448i
$321$	20.5824	−	17.2707i	1.14880	−	0.963957i
$322$	0.0659432	+	0.393400i	0.00367487	+	0.0219233i
$323$	−0.910411	−	11.1533i	−0.0506566	−	0.620589i
$324$	−38.5033	+	13.2813i	−2.13907	+	0.737852i
$325$	11.0886	+	13.2148i	0.615083	+	0.733028i
$326$	−1.21322	−	0.224513i	−0.0671938	−	0.0124346i
$327$	−9.10905	+	51.6600i	−0.503731	+	2.85680i
$328$	−3.06820	+	2.44467i	−0.169413	+	0.134984i
$329$	−7.93828	+	2.88930i	−0.437651	+	0.159292i
$330$	−6.45399	+	17.2764i	−0.355280	+	0.951034i
$331$	14.0886	−	8.13408i	0.774381	−	0.447089i	−0.0600539	−	0.998195i	$-0.519127\pi$
$331$	14.0886	−	8.13408i	0.774381	−	0.447089i	0.834435	+	0.551106i	$0.185794\pi$
$332$	−5.59252	+	14.5929i	−0.306929	+	0.800887i
$333$	−17.8923	+	21.3232i	−0.980490	+	1.16850i
$334$	4.21889	−	3.47972i	0.230847	−	0.190402i
$335$	21.0006	−	36.3741i	1.14738	−	1.98733i
$336$	25.3138	+	15.7793i	1.38098	+	0.860834i
$337$	4.18998	+	23.7625i	0.228243	+	1.29443i	0.856388	+	0.516332i	$0.172703\pi$
$337$	4.18998	+	23.7625i	0.228243	+	1.29443i	−0.628146	+	0.778096i	$0.716186\pi$
$338$	−9.73665	−	0.0823061i	−0.529604	−	0.00447686i
$339$	11.6071	−	31.8903i	0.630412	−	1.73204i
$340$	−15.2358	−	9.14328i	−0.826280	−	0.495864i
$341$			1.58492i			0.0858284i
$342$	39.5246	+	19.1221i	2.13725	+	1.03400i
$343$	19.9376			1.07653
$344$	10.4601	−	26.6185i	0.563969	−	1.43517i
$345$	1.24507	+	0.453170i	0.0670326	+	0.0243979i
$346$	0.118207	−	13.9836i	0.00635484	−	0.751764i
$347$	−17.6057	+	3.10436i	−0.945125	+	0.166651i	−0.624912	−	0.780695i	$-0.714865\pi$
$347$	−17.6057	+	3.10436i	−0.945125	+	0.166651i	−0.320212	+	0.947346i	$0.603754\pi$
$348$	23.6138	−	19.1435i	1.26583	−	1.02620i
$349$	−6.70607	−	3.87175i	−0.358968	−	0.207250i	0.309660	−	0.950847i	$-0.399785\pi$
$349$	−6.70607	−	3.87175i	−0.358968	−	0.207250i	−0.668628	+	0.743597i	$0.733118\pi$
$350$	−17.8389	+	14.7135i	−0.953531	+	0.786468i
$351$	−24.8473	−	20.8494i	−1.32625	−	1.11286i
$352$	−6.64148	+	0.883612i	−0.353992	+	0.0470967i
$353$	−11.6236	−	20.1327i	−0.618663	−	1.07156i	−0.989730	−	0.142949i	$-0.954341\pi$
$353$	−11.6236	−	20.1327i	−0.618663	−	1.07156i	0.371067	−	0.928606i	$-0.378992\pi$
$354$	−34.9204	−	13.0453i	−1.85600	−	0.693351i
$355$	−0.274387	−	0.753871i	−0.0145629	−	0.0400113i
$356$	−6.44290	−	11.6083i	−0.341473	−	0.615240i
$357$	−18.8540	−	3.32446i	−0.997858	−	0.175949i
$358$	−17.8286	−	3.29929i	−0.942271	−	0.174373i
$359$	−18.7231	+	15.7105i	−0.988166	+	0.829170i	−0.985301	−	0.170826i	$-0.945356\pi$
$359$	−18.7231	+	15.7105i	−0.988166	+	0.829170i	−0.00286502	+	0.999996i	$0.500912\pi$
$360$	61.2424	−	33.3171i	3.22776	−	1.75596i
$361$	−6.29011	−	17.9286i	−0.331059	−	0.943610i
$362$	−10.1565	+	1.70247i	−0.533812	+	0.0894797i
$363$	19.6273	+	23.3909i	1.03016	+	1.22770i
$364$	−0.195965	+	11.5903i	−0.0102714	+	0.607498i
$365$	−8.88745	−	1.56710i	−0.465190	−	0.0820256i
$366$	50.2902	−	17.8242i	2.62871	−	0.931685i
$367$	26.9633	−	9.81385i	1.40748	−	0.512279i	0.477087	−	0.878856i	$-0.341693\pi$
$367$	26.9633	−	9.81385i	1.40748	−	0.512279i	0.930388	+	0.366577i	$0.119470\pi$
$368$	0.0675130	+	0.476595i	0.00351936	+	0.0248442i
$369$	4.93962	+	8.55567i	0.257146	+	0.445390i
$370$	9.70270	−	16.4822i	0.504420	−	0.856871i
$371$	8.72456	−	10.3975i	0.452956	−	0.539812i
$372$	5.58285	−	6.42944i	0.289457	−	0.333351i
$373$	22.3795	+	12.9208i	1.15877	+	0.669015i	0.951008	−	0.309165i	$-0.100049\pi$
$373$	22.3795	+	12.9208i	1.15877	+	0.669015i	0.207760	+	0.978180i	$0.433383\pi$
$374$	3.74209	−	2.11853i	0.193499	−	0.109546i
$375$	3.77822	+	21.4273i	0.195106	+	1.10650i
$376$	−9.66474	+	3.24260i	−0.498421	+	0.167224i
$377$	11.1009	+	4.04040i	0.571726	+	0.208091i
$378$	28.2282	−	33.0693i	1.45190	−	1.70090i
$379$			20.9251i			1.07485i	0.843312	+	0.537424i	$0.180603\pi$
$379$			20.9251i			1.07485i	−0.843312	+	0.537424i	$0.819397\pi$
$380$	−28.9563	−	8.46858i	−1.48543	−	0.434429i
$381$		−	3.23156i		−	0.165558i
$382$	2.29970	+	1.96304i	0.117663	+	0.100438i
$383$	34.1651	+	12.4351i	1.74576	+	0.635403i	0.999541	−	0.0303009i	$-0.00964656\pi$
$383$	34.1651	+	12.4351i	1.74576	+	0.635403i	0.746216	+	0.665704i	$0.231869\pi$
$384$	30.0545	+	19.8100i	1.53371	+	1.01092i
$385$	−1.66825	−	9.46110i	−0.0850217	−	0.482182i
$386$	−0.354582	−	0.626321i	−0.0180477	−	0.0318789i
$387$	−62.3728	−	36.0110i	−3.17059	−	1.83054i
$388$	−23.7366	−	20.6111i	−1.20504	−	1.04637i
$389$	19.9960	−	23.8304i	1.01384	−	1.20825i	0.0359009	−	0.999355i	$-0.488570\pi$
$389$	19.9960	−	23.8304i	1.01384	−	1.20825i	0.977939	−	0.208892i	$-0.0669856\pi$
$390$	33.1823	+	19.5336i	1.68025	+	0.989124i
$391$	−0.154470	−	0.267550i	−0.00781188	−	0.0135306i
$392$	4.25909	+	0.108030i	0.215117	+	0.00545633i
$393$	−27.9186	+	10.1615i	−1.40830	+	0.512581i
$394$	7.19893	+	20.3115i	0.362677	+	1.02328i
$395$	−55.9318	−	9.86228i	−2.81423	−	0.496225i
$396$	−0.285231	+	16.8699i	−0.0143334	+	0.847744i
$397$	6.91611	+	8.24230i	0.347110	+	0.413669i	0.911148	−	0.412080i	$-0.135197\pi$
$397$	6.91611	+	8.24230i	0.347110	+	0.413669i	−0.564038	+	0.825749i	$0.690753\pi$
$398$	1.90833	+	11.3846i	0.0956557	+	0.570657i
$399$	−32.3978	+	2.64453i	−1.62192	+	0.132392i
$400$	−21.9702	+	17.2037i	−1.09851	+	0.860187i
$401$	−11.3894	+	9.55687i	−0.568761	+	0.477247i	−0.881234	−	0.472679i	$-0.843287\pi$
$401$	−11.3894	+	9.55687i	−0.568761	+	0.477247i	0.312474	+	0.949926i	$0.398842\pi$
$402$	9.93706	−	53.6976i	0.495616	−	2.67819i
$403$	3.25878	+	0.574611i	0.162331	+	0.0286234i
$404$	−5.42867	+	3.01305i	−0.270086	+	0.149905i
$405$	−24.1040	−	66.2253i	−1.19774	−	3.29076i
$406$	−5.54157	+	14.8340i	−0.275023	+	0.736198i
$407$	2.31432	+	4.00851i	0.114716	+	0.198695i
$408$	−22.6427	−	4.58736i	−1.12098	−	0.227108i
$409$	16.4247	+	13.7819i	0.812147	+	0.681473i	0.951119	−	0.308824i	$-0.0999353\pi$
$409$	16.4247	+	13.7819i	0.812147	+	0.681473i	−0.138972	+	0.990296i	$0.544380\pi$
$410$	−4.31923	−	5.23672i	−0.213311	−	0.258623i
$411$	−23.1878	−	13.3875i	−1.14377	−	0.660355i
$412$	4.20744	−	3.41093i	0.207285	−	0.168044i
$413$	19.1235	−	3.37200i	0.941008	−	0.165925i
$414$	1.21213	+	0.0102464i	0.0595728	+	0.000503582i
$415$	−25.4104	−	9.24863i	−1.24735	−	0.453997i
$416$	−0.591048	+	13.9760i	−0.0289785	+	0.685228i
$417$	−22.7203			−1.11262
$418$	5.23586	−	5.08848i	0.256094	−	0.248886i
$419$		−	9.73679i		−	0.475673i	−0.971305	−	0.237837i	$-0.923562\pi$
$419$		−	9.73679i		−	0.475673i	0.971305	−	0.237837i	$-0.0764383\pi$
$420$	−26.5590	+	44.2565i	−1.29595	+	2.15950i
$421$	−6.14630	+	16.8868i	−0.299552	+	0.823014i	0.695022	+	0.718988i	$0.255395\pi$
$421$	−6.14630	+	16.8868i	−0.299552	+	0.823014i	−0.994575	+	0.104025i	$0.966828\pi$
$422$	−0.146135	+	17.2875i	−0.00711376	+	0.841544i
$423$	4.45783	+	25.2816i	0.216747	+	1.22923i
$424$	10.8430	−	12.2761i	0.526583	−	0.596179i
$425$	8.95475	−	15.5101i	0.434369	−	0.752350i
$426$	−0.663700	−	0.804683i	−0.0321563	−	0.0389870i
$427$	−17.8655	+	21.2913i	−0.864573	+	1.03036i
$428$	−6.04413	+	15.7713i	−0.292154	+	0.762334i
$429$	−8.07000	+	4.65922i	−0.389623	+	0.224949i
$430$	46.3580	+	17.3181i	2.23558	+	0.835153i
$431$	16.7993	−	6.11445i	0.809195	−	0.294523i	0.0959038	−	0.995391i	$-0.469426\pi$
$431$	16.7993	−	6.11445i	0.809195	−	0.294523i	0.713291	+	0.700868i	$0.247204\pi$
$432$	35.0649	−	39.0294i	1.68706	−	1.87780i
$433$	−3.99769	+	22.6720i	−0.192117	+	1.08955i	0.724348	+	0.689434i	$0.242141\pi$
$433$	−3.99769	+	22.6720i	−0.192117	+	1.08955i	−0.916465	+	0.400115i	$0.868970\pi$
$434$	−0.807137	+	4.36158i	−0.0387438	+	0.209363i
$435$	33.8105	+	40.2938i	1.62109	+	1.93194i
$436$	−10.7527	−	31.1726i	−0.514959	−	1.49290i
$437$	−0.368742	−	0.373060i	−0.0176393	−	0.0178459i
$438$	−11.5721	+	1.93977i	−0.552938	+	0.0926857i
$439$	−14.2333	+	11.9431i	−0.679316	+	0.570014i	−0.915806	−	0.401620i	$-0.868447\pi$
$439$	−14.2333	+	11.9431i	−0.679316	+	0.570014i	0.236490	+	0.971634i	$0.424003\pi$
$440$	−1.72299	−	11.4644i	−0.0821404	−	0.546545i
$441$	1.86306	−	10.5659i	0.0887171	−	0.503140i
$442$	−2.99924	−	8.46223i	−0.142659	−	0.402507i
$443$	1.20190	+	3.30220i	0.0571041	+	0.156892i	0.964965	−	0.262380i	$-0.0845074\pi$
$443$	1.20190	+	3.30220i	0.0571041	+	0.156892i	−0.907860	+	0.419272i	$0.862285\pi$
$444$	4.73157	−	24.4132i	0.224551	−	1.15860i
$445$	19.8948	−	11.4863i	0.943106	−	0.544502i
$446$	−10.8185	+	18.3776i	−0.512269	+	0.870204i
$447$	16.6943	+	14.0082i	0.789615	+	0.662565i
$448$	−18.7268	−	0.950605i	−0.884758	−	0.0449118i
$449$	−3.46809	+	6.00690i	−0.163669	+	0.283483i	−0.936182	−	0.351516i	$-0.885666\pi$
$449$	−3.46809	+	6.00690i	−0.163669	+	0.283483i	0.772513	+	0.634999i	$0.219000\pi$
$450$	34.6196	+	61.1509i	1.63198	+	2.88268i
$451$	1.61782	−	0.285265i	0.0761801	−	0.0134326i
$452$	3.34877	+	21.0687i	0.157513	+	0.990986i
$453$	−0.313108	+	0.860257i	−0.0147111	+	0.0404184i
$454$	1.19524	−	1.40022i	0.0560955	−	0.0657158i
$455$	−20.0579			−0.940328
$456$	−39.1640	+	2.19890i	−1.83402	+	0.102973i
$457$	7.39532			0.345938			0.172969	−	0.984927i	$-0.444664\pi$
$457$	7.39532			0.345938			0.172969	+	0.984927i	$0.444664\pi$
$458$	−20.3287	+	23.8151i	−0.949899	+	1.11281i
$459$	−11.5174	+	31.6437i	−0.537584	+	1.47700i
$460$	−0.822571	+	0.130744i	−0.0383526	+	0.00609597i
$461$	−4.85592	+	0.856230i	−0.226163	+	0.0398786i	−0.285581	−	0.958355i	$-0.592187\pi$
$461$	−4.85592	+	0.856230i	−0.226163	+	0.0398786i	0.0594181	+	0.998233i	$0.481075\pi$
$462$	−6.15381	−	10.8699i	−0.286301	−	0.505713i
$463$	11.7478	−	20.3477i	0.545965	−	0.945639i	−0.452581	−	0.891724i	$-0.649497\pi$
$463$	11.7478	−	20.3477i	0.545965	−	0.945639i	0.998546	−	0.0539155i	$-0.0171702\pi$
$464$	−7.13896	+	17.7254i	−0.331418	+	0.822880i
$465$	11.2867	+	9.47070i	0.523410	+	0.439193i
$466$	8.02836	−	13.6380i	0.371907	−	0.631767i
$467$	−5.87837	+	3.39388i	−0.272018	+	0.157050i	−0.629804	−	0.776754i	$-0.716865\pi$
$467$	−5.87837	+	3.39388i	−0.272018	+	0.157050i	0.357786	+	0.933804i	$0.383532\pi$
$468$	34.5830	+	6.70261i	1.59860	+	0.309828i
$469$	9.72943	+	26.7314i	0.449263	+	1.23434i
$470$	−5.89266	−	16.6259i	−0.271808	−	0.766896i
$471$	13.1812	−	74.7543i	0.607357	−	3.44450i
$472$	23.1728	−	3.48265i	1.06662	−	0.160302i
$473$	−9.17431	+	7.69816i	−0.421835	+	0.353962i
$474$	−72.8275	+	12.2076i	−3.34508	+	0.560715i
$475$	8.04103	−	29.3257i	0.368948	−	1.34556i
$476$	11.3768	−	3.92432i	0.521456	−	0.179871i
$477$	−26.5128	−	31.5967i	−1.21394	−	1.44672i
$478$	4.24600	−	22.9444i	0.194208	−	1.04945i
$479$	5.59818	−	31.7488i	0.255787	−	1.45064i	−0.538257	−	0.842781i	$-0.680917\pi$
$479$	5.59818	−	31.7488i	0.255787	−	1.45064i	0.794044	−	0.607860i	$-0.207972\pi$
$480$	−33.3936	+	52.5761i	−1.52420	+	2.39976i
$481$	9.08100	−	3.30521i	0.414058	−	0.150705i
$482$	14.9312	+	5.57788i	0.680096	+	0.254065i
$483$	−0.777168	+	0.448698i	−0.0353624	+	0.0204165i
$484$	−17.9233	−	6.86884i	−0.814693	−	0.312220i
$485$	34.9645	−	41.6690i	1.58766	−	1.89209i
$486$	−22.8943	−	27.7576i	−1.03851	−	1.25911i
$487$	−9.72386	+	16.8422i	−0.440630	+	0.763194i	−0.997736	−	0.0672474i	$-0.978578\pi$
$487$	−9.72386	+	16.8422i	−0.440630	+	0.763194i	0.557106	+	0.830441i	$0.311912\pi$
$488$	−22.2035	+	25.1381i	−1.00511	+	1.13795i
$489$	−0.482007	−	2.73360i	−0.0217971	−	0.123618i
$490$	−0.0623149	+	7.37172i	−0.00281510	+	0.333020i
$491$	−7.37036	+	20.2499i	−0.332620	+	0.913865i	0.654808	+	0.755795i	$0.272749\pi$
$491$	−7.37036	+	20.2499i	−0.332620	+	0.913865i	−0.987428	+	0.158070i	$0.949473\pi$
$492$	−7.56772	−	4.54151i	−0.341179	−	0.204747i
$493$		−	12.2645i		−	0.552363i
$494$	−8.56424	−	12.6103i	−0.385323	−	0.567365i
$495$	−29.1946			−1.31220
$496$	−1.10715	+	5.23689i	−0.0497124	+	0.235143i
$497$	0.510590	+	0.185839i	0.0229031	+	0.00833604i
$498$	−35.1573	−	0.297193i	−1.57544	−	0.0133175i
$499$	−6.14840	+	1.08413i	−0.275240	+	0.0485323i	−0.309564	−	0.950878i	$-0.600183\pi$
$499$	−6.14840	+	1.08413i	−0.275240	+	0.0485323i	0.0343241	+	0.999411i	$0.489072\pi$
$500$	−8.61319	−	10.6245i	−0.385193	−	0.475142i
$501$	10.6550	+	6.15167i	0.476031	+	0.274836i
$502$	−12.3287	−	14.9476i	−0.550256	−	0.667142i
$503$	−25.2239	−	21.1653i	−1.12468	−	0.943715i	−0.125845	−	0.992050i	$-0.540164\pi$
$503$	−25.2239	−	21.1653i	−1.12468	−	0.943715i	−0.998831	+	0.0483346i	$0.984609\pi$
$504$	−9.37609	+	46.2794i	−0.417644	+	2.06145i
$505$	−5.37160	−	9.30389i	−0.239033	−	0.414018i
$506$	0.0705384	−	0.188821i	0.00313581	−	0.00839412i
$507$	−7.49221	−	20.5847i	−0.332741	−	0.914198i
$508$	0.985812	+	1.77616i	0.0437383	+	0.0788043i
$509$	−35.0146	−	6.17403i	−1.55200	−	0.273659i	−0.669081	−	0.743190i	$-0.733312\pi$
$509$	−35.0146	−	6.17403i	−1.55200	−	0.273659i	−0.882916	+	0.469531i	$0.844423\pi$
$510$	7.27416	−	39.3079i	0.322105	−	1.74058i
$511$	4.68225	−	3.92887i	0.207130	−	0.173803i
$512$	−22.5620	−	1.71977i	−0.997108	−	0.0760039i
$513$	−5.31457	+	56.9276i	−0.234644	+	2.51342i
$514$	6.28498	+	37.4946i	0.277219	+	1.65381i
$515$	6.02425	+	7.17942i	0.265460	+	0.316363i
$516$	64.3333	+	1.08773i	2.83212	+	0.0478845i
$517$	4.20397	+	0.741273i	0.184890	+	0.0326011i
$518$	4.32744	+	12.2097i	0.190137	+	0.536463i
$519$	29.5634	−	10.7602i	1.29769	−	0.472320i
$520$	−24.1968	−	0.613741i	−1.06110	−	0.0269143i
$521$	−4.81305	−	8.33645i	−0.210864	−	0.365226i	0.741121	−	0.671371i	$-0.234294\pi$
$521$	−4.81305	−	8.33645i	−0.210864	−	0.365226i	−0.951985	+	0.306145i	$0.900961\pi$
$522$	41.4694	+	24.4121i	1.81507	+	1.06849i
$523$	−17.7944	+	21.2065i	−0.778094	+	0.927296i	−0.998846	−	0.0480341i	$-0.984704\pi$
$523$	−17.7944	+	21.2065i	−0.778094	+	0.927296i	0.220752	+	0.975330i	$0.429149\pi$
$524$	12.2450	−	14.1018i	0.534925	−	0.616041i
$525$	−45.0531	−	26.0114i	−1.96628	−	1.13523i
$526$	−14.8570	−	26.2429i	−0.647795	−	1.14424i
$527$	−0.596553	−	3.38322i	−0.0259863	−	0.147375i
$528$	−7.09104	−	13.3012i	−0.308598	−	0.578859i
$529$	21.5993	+	7.86151i	0.939101	+	0.341805i
$530$	21.5558	+	18.4002i	0.936322	+	0.799252i
$531$		−	59.0105i		−	2.56084i
$532$	17.0000	−	11.3367i	0.737044	−	0.491508i
$533$		−	3.42984i		−	0.148563i
$534$	19.3919	−	22.7176i	0.839169	−	0.983086i
$535$	−27.4624	−	9.99549i	−1.18730	−	0.432143i
$536$	10.9191	+	32.5451i	0.471635	+	1.40573i
$537$	−7.08325	−	40.1711i	−0.305665	−	1.73351i
$538$	28.1984	−	15.9641i	1.21572	−	0.688260i
$539$	−1.54505	−	0.892034i	−0.0665499	−	0.0384226i
$540$	68.5496	+	59.5234i	2.94990	+	2.56148i
$541$	−23.7107	+	28.2573i	−1.01940	+	1.21487i	−0.0429629	+	0.999077i	$0.513680\pi$
$541$	−23.7107	+	28.2573i	−1.01940	+	1.21487i	−0.976438	+	0.215798i	$0.930765\pi$
$542$	−0.424182	+	0.720569i	−0.0182202	+	0.0309511i
$543$	−11.5841	−	20.0643i	−0.497123	−	0.861042i
$544$	13.8445	−	4.38599i	0.593578	−	0.188048i
$545$	53.6165	−	19.5148i	2.29668	−	0.835922i
$546$	−24.5807	+	8.71207i	−1.05196	+	0.372842i
$547$	26.1949	+	4.61886i	1.12001	+	0.197488i	0.702846	−	0.711342i	$-0.251912\pi$
$547$	26.1949	+	4.61886i	1.12001	+	0.197488i	0.417166	+	0.908830i	$0.363023\pi$
$548$	16.8286	+	0.284532i	0.718882	+	0.0121546i
$549$	54.2910	+	64.7015i	2.31708	+	2.76139i
$550$	11.5242	−	1.93173i	0.491393	−	0.0823693i
$551$	−5.27237	−	20.1450i	−0.224611	−	0.858207i
$552$	−0.951265	+	0.517506i	−0.0404885	+	0.0220265i
$553$	29.4670	−	24.7257i	1.25306	−	1.05145i
$554$	21.6802	+	4.01205i	0.921102	+	0.170456i
$555$	42.3751	+	7.47187i	1.79872	+	0.317163i
$556$	12.4877	−	6.93100i	0.529598	−	0.293940i
$557$	10.5356	+	28.9464i	0.446408	+	1.22650i	0.935208	+	0.354100i	$0.115213\pi$
$557$	10.5356	+	28.9464i	0.446408	+	1.22650i	−0.488799	+	0.872396i	$0.662565\pi$
$558$	12.6270	+	4.71711i	0.534544	+	0.199691i
$559$	12.5021	+	21.6544i	0.528785	+	0.915882i
$560$	1.09683	−	32.4266i	0.0463496	−	1.37028i
$561$	7.41092	+	6.21850i	0.312889	+	0.262545i
$562$	−15.5207	+	12.8014i	−0.654702	+	0.539995i
$563$	1.12693	+	0.650635i	0.0474945	+	0.0274210i	0.523559	−	0.851989i	$-0.324604\pi$
$563$	1.12693	+	0.650635i	0.0474945	+	0.0274210i	−0.476065	+	0.879410i	$0.657937\pi$
$564$	−14.4428	−	17.8154i	−0.608152	−	0.750165i
$565$	−36.3525	+	6.40992i	−1.52936	+	0.269667i
$566$	−0.225786	+	26.7100i	−0.00949050	+	1.12271i
$567$	44.8537	+	16.3254i	1.88368	+	0.685603i
$568$	0.610263	+	0.239810i	0.0256060	+	0.0100622i
$569$	−26.1664			−1.09695			−0.548476	−	0.836166i	$-0.684792\pi$
$569$	−26.1664			−1.09695			−0.548476	+	0.836166i	$0.684792\pi$
$570$	−4.94987	−	67.6924i	−0.207327	−	2.83532i
$571$		−	37.6888i		−	1.57723i	−0.614888	−	0.788614i	$-0.710799\pi$
$571$		−	37.6888i		−	1.57723i	0.614888	−	0.788614i	$-0.289201\pi$
$572$	3.01417	−	5.02265i	0.126029	−	0.210008i
$573$	−2.32654	+	6.39210i	−0.0971924	+	0.267034i
$574$	4.59738	+	0.0388627i	0.191891	+	0.00162210i
$575$	−0.145776	−	0.826739i	−0.00607929	−	0.0344774i
$576$	−12.7269	+	55.5422i	−0.530288	+	2.31426i
$577$	−11.8414	+	20.5099i	−0.492965	+	0.853840i	−0.999967	−	0.00810485i	$-0.997420\pi$
$577$	−11.8414	+	20.5099i	−0.492965	+	0.853840i	0.507003	+	0.861945i	$0.330753\pi$
$578$	11.3563	−	9.36667i	0.472362	−	0.389602i
$579$	1.04080	−	1.24038i	0.0432543	−	0.0515485i
$580$	−30.8751	−	11.8325i	−1.28202	−	0.491317i
$581$	15.8610	−	9.15736i	0.658025	−	0.379911i
$582$	24.7498	−	66.2517i	1.02591	−	2.74622i
$583$	−6.44509	+	2.34582i	−0.266928	+	0.0971539i
$584$	5.76864	−	4.59632i	0.238708	−	0.190197i
$585$	−10.5844	+	60.0273i	−0.437613	+	2.48182i
$586$	0.983181	+	0.181944i	0.0406148	+	0.00751602i
$587$	−1.22744	−	1.46281i	−0.0506620	−	0.0603766i	0.740118	−	0.672477i	$-0.234769\pi$
$587$	−1.22744	−	1.46281i	−0.0506620	−	0.0603766i	−0.790780	+	0.612100i	$0.790325\pi$
$588$	3.12551	+	9.06104i	0.128894	+	0.373671i
$589$	−2.43428	−	5.30067i	−0.100303	−	0.218410i
$590$	6.70311	+	39.9890i	0.275962	+	1.64632i
$591$	−37.1385	+	31.1629i	−1.52768	+	1.28187i
$592$	4.84680	+	14.8616i	0.199202	+	0.610806i
$593$	0.372239	−	2.11107i	0.0152860	−	0.0866913i	−0.976210	−	0.216826i	$-0.930430\pi$
$593$	0.372239	−	2.11107i	0.0152860	−	0.0866913i	0.991496	+	0.130134i	$0.0415408\pi$
$594$	−20.7085	+	7.33966i	−0.849682	+	0.301150i
$595$	7.12217	+	19.5680i	0.291981	+	0.802210i
$596$	−13.4490	−	2.60658i	−0.550892	−	0.106770i
$597$	−22.4904	+	12.9849i	−0.920472	+	0.531435i
$598$	−0.362663	−	0.213491i	−0.0148304	−	0.00873031i
$599$	30.9796	+	25.9949i	1.26579	+	1.06212i	0.995040	+	0.0994750i	$0.0317163\pi$
$599$	30.9796	+	25.9949i	1.26579	+	1.06212i	0.270751	+	0.962650i	$0.412728\pi$
$600$	−53.5538	−	32.7574i	−2.18633	−	1.33731i
$601$	−7.00751	+	12.1374i	−0.285842	+	0.495093i	−0.972813	−	0.231592i	$-0.925607\pi$
$601$	−7.00751	+	12.1374i	−0.285842	+	0.495093i	0.686971	+	0.726685i	$0.258940\pi$
$602$	−29.1673	+	16.5126i	−1.18877	+	0.673004i
$603$	85.1333	−	15.0113i	3.46690	−	0.611308i
$604$	−0.0903347	−	0.568338i	−0.00367567	−	0.0231253i
$605$	11.3594	−	31.2096i	0.461823	−	1.26885i
$606$	−10.6240	−	9.06869i	−0.431569	−	0.368390i
$607$	44.1295			1.79116			0.895581	−	0.444898i	$-0.146760\pi$
$607$	44.1295			1.79116			0.895581	+	0.444898i	$0.146760\pi$
$608$	20.8548	−	13.1558i	0.845775	−	0.533539i
$609$	−35.6253			−1.44361
$610$	−44.1403	−	37.6785i	−1.78719	−	1.52556i
$611$	3.04828	−	8.37507i	0.123320	−	0.338819i
$612$	−5.74084	−	36.1183i	−0.232060	−	1.46000i
$613$	−11.2860	+	1.99003i	−0.455839	+	0.0803767i	−0.396853	−	0.917882i	$-0.629898\pi$
$613$	−11.2860	+	1.99003i	−0.455839	+	0.0803767i	−0.0589859	+	0.998259i	$0.518787\pi$
$614$	12.7831	−	7.23692i	0.515882	−	0.292058i
$615$	7.63580	−	13.2256i	0.307905	−	0.533307i
$616$	6.69825	+	4.09713i	0.269880	+	0.165078i
$617$	20.4568	+	17.1653i	0.823560	+	0.691049i	0.953803	−	0.300433i	$-0.0971313\pi$
$617$	20.4568	+	17.1653i	0.823560	+	0.691049i	−0.130243	+	0.991482i	$0.541576\pi$
$618$	10.5010	+	6.18170i	0.422413	+	0.248664i
$619$	−7.42615	+	4.28749i	−0.298482	+	0.172329i	−0.641761	−	0.766905i	$-0.721796\pi$
$619$	−7.42615	+	4.28749i	−0.298482	+	0.172329i	0.343279	+	0.939234i	$0.388462\pi$
$620$	−9.09262	−	1.76226i	−0.365168	−	0.0707742i
$621$	0.539866	+	1.48327i	0.0216641	+	0.0595215i
$622$	13.7303	−	4.86638i	0.550534	−	0.195124i
$623$	−2.70181	+	15.3227i	−0.108246	+	0.613892i
$624$	−29.9195	+	9.75766i	−1.19774	+	0.390619i
$625$	−8.59077	+	7.20851i	−0.343631	+	0.288340i
$626$	4.57691	+	27.3046i	0.182930	+	1.09131i
$627$	14.8461	+	7.02834i	0.592897	+	0.280685i
$628$	15.5596	+	45.1081i	0.620895	+	1.80001i
$629$	−6.44898	−	7.68559i	−0.257138	−	0.306445i
$630$	−80.3412	−	14.8676i	−3.20087	−	0.592340i
$631$	4.75885	−	26.9888i	0.189447	−	1.07441i	−0.730660	−	0.682741i	$-0.760788\pi$
$631$	4.75885	−	26.9888i	0.189447	−	1.07441i	0.920107	−	0.391666i	$-0.128101\pi$
$632$	36.3040	−	28.9262i	1.44410	−	1.15062i
$633$	−36.5483	+	13.3025i	−1.45267	+	0.528727i
$634$	10.1725	−	27.2304i	0.404004	−	1.08146i
$635$	−3.04406	+	1.75749i	−0.120800	+	0.0697437i
$636$	34.4084	+	13.1865i	1.36438	+	0.522881i
$637$	−2.39427	+	2.85338i	−0.0948646	+	0.113055i
$638$	6.17306	−	5.09152i	0.244394	−	0.201575i
$639$	0.825598	−	1.42998i	0.0326601	−	0.0565690i
$640$	2.31537	−	39.0843i	0.0915229	−	1.54494i
$641$	0.317967	+	1.80328i	0.0125589	+	0.0712252i	0.990443	−	0.137922i	$-0.0440423\pi$
$641$	0.317967	+	1.80328i	0.0125589	+	0.0712252i	−0.977884	+	0.209147i	$0.932931\pi$
$642$	−37.9964	−	0.321192i	−1.49960	−	0.0126764i
$643$	0.506163	−	1.39067i	0.0199611	−	0.0548427i	−0.929312	−	0.369296i	$-0.879599\pi$
$643$	0.506163	−	1.39067i	0.0199611	−	0.0548427i	0.949273	+	0.314453i	$0.101821\pi$
$644$	0.290275	−	0.483698i	0.0114384	−	0.0190604i
$645$			111.334i			4.38375i
$646$	−9.26134	+	12.8328i	−0.364382	+	0.504898i
$647$	−28.2365			−1.11009			−0.555045	−	0.831820i	$-0.687299\pi$
$647$	−28.2365			−1.11009			−0.555045	+	0.831820i	$0.687299\pi$
$648$	53.6097	+	21.0666i	2.10599	+	0.827574i
$649$	−9.22083	−	3.35611i	−0.361949	−	0.131739i
$650$	0.206220	−	24.3954i	0.00808860	−	0.956865i
$651$	−9.82745	+	1.73284i	−0.385168	+	0.0679155i
$652$	1.09883	+	1.35542i	0.0430335	+	0.0530825i
$653$	32.8846	+	18.9859i	1.28687	+	0.742977i	0.978096	−	0.208156i	$-0.0667463\pi$
$653$	32.8846	+	18.9859i	1.28687	+	0.742977i	0.308779	+	0.951134i	$0.400080\pi$
$654$	57.2303	−	47.2033i	2.23788	−	1.84579i
$655$	24.7554	+	20.7723i	0.967275	+	0.811640i
$656$	5.54485	+	0.187555i	0.216490	+	0.00732278i
$657$	−9.28715	−	16.0858i	−0.362326	−	0.627568i
$658$	11.1915	+	4.18083i	0.436289	+	0.162986i
$659$	0.870840	+	2.39261i	0.0339231	+	0.0932030i	0.955498	−	0.294998i	$-0.0953189\pi$
$659$	0.870840	+	2.39261i	0.0339231	+	0.0932030i	−0.921575	+	0.388201i	$0.873097\pi$
$660$	22.8046	−	12.6571i	0.887670	−	0.492678i
$661$	16.7067	+	2.94584i	0.649814	+	0.114580i	0.488833	−	0.872378i	$-0.337423\pi$
$661$	16.7067	+	2.94584i	0.649814	+	0.114580i	0.160982	+	0.986957i	$0.448534\pi$
$662$	−22.6225	−	4.18644i	−0.879250	−	0.162711i
$663$	15.4728	−	12.9832i	0.600912	−	0.504225i
$664$	19.4141	−	10.5616i	0.753413	−	0.409871i
$665$	20.1106	+	29.0797i	0.779857	+	1.12766i
$666$	38.8236	−	6.50776i	1.50438	−	0.252171i
$667$	−0.369529	−	0.440388i	−0.0143082	−	0.0170519i
$668$	−7.73291	−	0.130745i	−0.299195	−	0.00505869i
$669$	−47.2480	−	8.33109i	−1.82671	−	0.322099i
$670$	−55.9861	+	19.8430i	−2.16293	+	0.766601i
$671$	13.1978	−	4.80360i	0.509495	−	0.185441i
$672$	−12.7402	−	40.2149i	−0.491465	−	1.55133i
$673$	12.8993	+	22.3423i	0.497232	+	0.861232i	0.999995	−	0.00319292i	$-0.00101634\pi$
$673$	12.8993	+	22.3423i	0.497232	+	0.861232i	−0.502763	+	0.864425i	$0.667683\pi$
$674$	17.3111	−	29.4067i	0.666797	−	1.13270i
$675$	−58.8181	+	70.0967i	−2.26391	+	2.69802i
$676$	10.3974	+	9.02837i	0.399901	+	0.347245i
$677$	−30.5111	−	17.6156i	−1.17264	−	0.677022i	−0.218337	−	0.975873i	$-0.570063\pi$
$677$	−30.5111	−	17.6156i	−1.17264	−	0.677022i	−0.954300	+	0.298851i	$0.903396\pi$
$678$	−41.7655	+	23.6449i	−1.60399	+	0.908075i
$679$	6.39741	+	36.2815i	0.245510	+	1.39236i
$680$	7.99307	+	23.8238i	0.306520	+	0.913600i
$681$	3.89197	+	1.41656i	0.149141	+	0.0542828i
$682$	1.45522	−	1.70479i	0.0557232	−	0.0652797i
$683$		−	42.6875i		−	1.63339i	−0.577068	−	0.816696i	$-0.695803\pi$
$683$		−	42.6875i		−	1.63339i	0.577068	−	0.816696i	$-0.304197\pi$
$684$	−24.9566	−	56.8584i	−0.954238	−	2.17403i
$685$			29.1231i			1.11274i
$686$	−21.4454	−	18.3060i	−0.818791	−	0.698926i
$687$	−66.1948	−	24.0929i	−2.52549	−	0.919203i
$688$	−35.6912	+	19.0275i	−1.36072	+	0.725417i
$689$	2.48661	+	14.1023i	0.0947325	+	0.537254i
$690$	−0.923153	−	1.63063i	−0.0351438	−	0.0620768i
$691$	10.0540	+	5.80466i	0.382471	+	0.220820i	0.678893	−	0.734237i	$-0.262460\pi$
$691$	10.0540	+	5.80466i	0.382471	+	0.220820i	−0.296422	+	0.955057i	$0.595793\pi$
$692$	−12.9664	+	14.9326i	−0.492909	+	0.567654i
$693$	12.7100	−	15.1472i	0.482812	−	0.575393i
$694$	21.7875	+	12.8258i	0.827043	+	0.486861i
$695$	12.3565	+	21.4020i	0.468707	+	0.811824i
$696$	−42.9766	−	1.09008i	−1.62902	−	0.0413194i
$697$	−3.34607	+	1.21787i	−0.126741	+	0.0461301i
$698$	3.65833	+	10.3218i	0.138470	+	0.390687i
$699$	35.0626	+	6.18249i	1.32619	+	0.233843i
$700$	32.6974	+	0.552837i	1.23585	+	0.0208953i
$701$	−27.4824	−	32.7523i	−1.03800	−	1.23704i	−0.970949	−	0.239287i	$-0.923086\pi$
$701$	−27.4824	−	32.7523i	−1.03800	−	1.23704i	−0.0670485	−	0.997750i	$-0.521358\pi$
$702$	7.58331	+	45.2401i	0.286214	+	1.70748i
$703$	−13.8968	−	9.85164i	−0.524126	−	0.371562i
$704$	7.95506	+	5.14753i	0.299817	+	0.194005i
$705$	30.3996	−	25.5083i	1.14492	−	0.960698i
$706$	−5.98243	+	32.3277i	−0.225152	+	1.21667i
$707$	7.16572	+	1.26351i	0.269495	+	0.0475192i
$708$	25.5836	+	46.0946i	0.961492	+	1.73234i
$709$	−10.4873	−	28.8137i	−0.393860	−	1.08212i	−0.965224	−	0.261424i	$-0.915808\pi$
$709$	−10.4873	−	28.8137i	−0.393860	−	1.08212i	0.571365	−	0.820696i	$-0.306414\pi$
$710$	−0.397040	+	1.06282i	−0.0149006	+	0.0398868i
$711$	−58.4473	−	101.234i	−2.19194	−	3.79656i
$712$	−3.72817	+	18.4019i	−0.139719	+	0.689639i
$713$	−0.123358	−	0.103509i	−0.00461978	−	0.00387646i
$714$	17.2274	+	20.8869i	0.644721	+	0.781673i
$715$	8.77775	+	5.06783i	0.328269	+	0.189526i
$716$	16.1476	+	19.9184i	0.603466	+	0.744385i
$717$	51.6980	−	9.11575i	1.93070	−	0.340434i
$718$	34.5639	+	0.292177i	1.28991	+	0.0109039i
$719$	−26.7557	−	9.73828i	−0.997820	−	0.363177i	−0.209076	−	0.977899i	$-0.567046\pi$
$719$	−26.7557	−	9.73828i	−0.997820	−	0.363177i	−0.788743	+	0.614723i	$0.789268\pi$
$720$	−96.4646	−	20.3939i	−3.59502	−	0.760034i
$721$	−6.34760			−0.236397
$722$	−9.69557	+	25.0598i	−0.360832	+	0.932631i
$723$			35.8587i			1.33360i
$724$	12.4877	+	7.49409i	0.464103	+	0.278516i
$725$	11.3984	−	31.3168i	0.423325	−	1.16308i
$726$	0.365018	−	43.1809i	0.0135471	−	1.60259i
$727$	1.17128	+	6.64264i	0.0434402	+	0.246362i	0.998794	−	0.0491035i	$-0.0156364\pi$
$727$	1.17128	+	6.64264i	0.0434402	+	0.246362i	−0.955353	+	0.295465i	$0.904525\pi$
$728$	10.8526	−	12.2869i	0.402224	−	0.455384i
$729$	9.92686	−	17.1938i	0.367662	−	0.636808i
$730$	8.12073	+	9.84575i	0.300562	+	0.364407i
$731$	16.6862	−	19.8859i	0.617162	−	0.735505i
$732$	−70.4590	−	27.0025i	−2.60424	−	0.998040i
$733$	25.9665	−	14.9918i	0.959096	−	0.553734i	0.0632015	−	0.998001i	$-0.479869\pi$
$733$	25.9665	−	14.9918i	0.959096	−	0.553734i	0.895895	+	0.444266i	$0.146536\pi$
$734$	−38.0132	−	14.2007i	−1.40309	−	0.524158i
$735$	−15.5849	+	5.67243i	−0.574857	+	0.209231i
$736$	0.364973	−	0.574627i	0.0134531	−	0.0211810i
$737$	2.49616	−	14.1565i	0.0919474	−	0.521460i
$738$	2.54232	−	13.7381i	0.0935840	−	0.505706i
$739$	−10.3078	−	12.2843i	−0.379177	−	0.451886i	0.542377	−	0.840135i	$-0.317524\pi$
$739$	−10.3078	−	12.2843i	−0.379177	−	0.451886i	−0.921554	+	0.388249i	$0.873080\pi$
$740$	−25.5699	+	8.82007i	−0.939968	+	0.324232i
$741$	19.8335	−	27.9772i	0.728601	−	1.02777i
$742$	−18.9310	+	3.17329i	−0.694979	+	0.116495i
$743$	12.6275	−	10.5957i	0.463259	−	0.388720i	−0.381070	−	0.924546i	$-0.624444\pi$
$743$	12.6275	−	10.5957i	0.463259	−	0.388720i	0.844328	+	0.535826i	$0.180000\pi$
$744$	−11.9084	+	1.78971i	−0.436581	+	0.0656139i
$745$	4.11618	−	23.3440i	0.150805	−	0.855260i
$746$	−12.2086	−	34.4461i	−0.446989	−	1.26116i
$747$	−19.0355	−	52.2996i	−0.696472	−	1.91354i
$748$	−5.97025	−	1.15711i	−0.218294	−	0.0423081i
$749$	17.1418	−	9.89685i	0.626349	−	0.361623i
$750$	15.6099	−	26.5169i	0.569992	−	0.968259i
$751$	9.53052	+	7.99705i	0.347774	+	0.291817i	0.799895	−	0.600140i	$-0.204888\pi$
$751$	9.53052	+	7.99705i	0.347774	+	0.291817i	−0.452122	+	0.891956i	$0.649333\pi$
$752$	13.3729	+	5.38598i	0.487660	+	0.196407i
$753$	21.7954	−	37.7508i	0.794270	−	1.37572i
$754$	−8.23070	−	14.5384i	−0.299744	−	0.529458i
$755$	0.980626	−	0.172911i	0.0356887	−	0.00629287i
$756$	−60.7261	+	9.65213i	−2.20859	+	0.351045i
$757$	−9.00866	+	24.7511i	−0.327425	+	0.899594i	0.661336	+	0.750090i	$0.269990\pi$
$757$	−9.00866	+	24.7511i	−0.327425	+	0.899594i	−0.988761	+	0.149504i	$0.952232\pi$
$758$	19.2126	−	22.5076i	0.697835	−	0.817512i
$759$	0.453473			0.0164600
$760$	23.3707	+	35.6957i	0.847743	+	1.29482i
$761$	20.1489			0.730396			0.365198	−	0.930930i	$-0.381001\pi$
$761$	20.1489			0.730396			0.365198	+	0.930930i	$0.381001\pi$
$762$	−2.96710	+	3.47596i	−0.107487	+	0.125921i
$763$	−13.2172	+	36.3139i	−0.478494	+	1.31465i
$764$	−0.671228	−	4.22301i	−0.0242842	−	0.152783i
$765$	62.3196	−	10.9886i	2.25317	−	0.397295i
$766$	−25.3315	−	44.7447i	−0.915265	−	1.61669i
$767$	−10.2435	+	17.7423i	−0.369872	+	0.640637i
$768$	−14.1387	−	48.9031i	−0.510185	−	1.76464i
$769$	−19.7801	−	16.5975i	−0.713289	−	0.598521i	0.212231	−	0.977220i	$-0.431927\pi$
$769$	−19.7801	−	16.5975i	−0.713289	−	0.598521i	−0.925520	+	0.378699i	$0.876372\pi$
$770$	−6.89243	+	11.7083i	−0.248386	+	0.421939i
$771$	−74.0712	+	42.7650i	−2.66761	+	1.54014i
$772$	−0.193668	+	0.999253i	−0.00697025	+	0.0359639i
$773$	4.59228	+	12.6172i	0.165173	+	0.453808i	0.994473	−	0.104995i	$-0.0334828\pi$
$773$	4.59228	+	12.6172i	0.165173	+	0.453808i	−0.829300	+	0.558804i	$0.811261\pi$
$774$	34.0260	+	96.0029i	1.22304	+	3.45075i
$775$	1.62103	−	9.19334i	0.0582292	−	0.330234i
$776$	6.60735	+	43.9639i	0.237190	+	1.57821i
$777$	−22.3248	+	18.7327i	−0.800898	+	0.672033i
$778$	−43.3885	+	7.27295i	−1.55555	+	0.260748i
$779$	−4.97255	+	3.43886i	−0.178160	+	0.123210i
$780$	−17.7567	−	51.4777i	−0.635792	−	1.84320i
$781$	−0.176490	−	0.210333i	−0.00631532	−	0.00752630i
$782$	−0.0795024	+	0.429613i	−0.00284300	+	0.0153629i
$783$	−10.8812	+	61.7106i	−0.388864	+	2.20536i
$784$	−4.48201	−	4.02674i	−0.160072	−	0.143812i
$785$	−77.5854	+	28.2388i	−2.76914	+	1.00789i
$786$	39.3599	+	14.7038i	1.40392	+	0.524467i
$787$	37.2599	−	21.5120i	1.32817	−	0.766820i	0.343154	−	0.939279i	$-0.388505\pi$
$787$	37.2599	−	21.5120i	1.32817	−	0.766820i	0.985017	+	0.172459i	$0.0551713\pi$
$788$	10.9059	−	28.4574i	0.388507	−	1.01375i
$789$	43.6096	−	51.9719i	1.55254	−	1.85025i
$790$	51.1066	+	61.9627i	1.81829	+	2.20453i
$791$	12.5005	−	21.6515i	0.444466	−	0.769838i
$792$	15.7961	−	17.8838i	0.561291	−	0.635475i
$793$	−5.09191	−	28.8777i	−0.180819	−	1.02548i
$794$	0.128622	−	15.2158i	0.00456464	−	0.539987i
$795$	−21.8073	+	59.9150i	−0.773424	+	2.12496i
$796$	8.40025	−	13.9977i	0.297739	−	0.496136i
$797$		−	5.38018i		−	0.190576i	−0.995450	−	0.0952879i	$-0.969623\pi$
$797$		−	5.38018i		−	0.190576i	0.995450	−	0.0952879i	$-0.0303772\pi$
$798$	37.2761	+	26.9020i	1.31956	+	0.952319i
$799$	−9.25291			−0.327345
$800$	39.4276	+	1.66741i	1.39398	+	0.0589517i
$801$	44.4306	+	16.1714i	1.56988	+	0.571389i
$802$	21.0256	+	0.177734i	0.742438	+	0.00627600i
$803$	−3.04172	+	0.536337i	−0.107340	+	0.0189269i
$804$	−59.9918	+	48.6347i	−2.11575	+	1.71522i
$805$	0.845327	+	0.488050i	0.0297938	+	0.0172015i
$806$	−2.97765	−	3.61016i	−0.104883	−	0.127162i
$807$	55.8447	+	46.8593i	1.96583	+	1.64952i
$808$	8.60570	+	1.74349i	0.302747	+	0.0613359i
$809$	−25.4413	−	44.0656i	−0.894469	−	1.54926i	−0.834461	−	0.551067i	$-0.814221\pi$
$809$	−25.4413	−	44.0656i	−0.894469	−	1.54926i	−0.0600076	−	0.998198i	$-0.519112\pi$
$810$	−34.8787	+	93.3652i	−1.22551	+	3.28052i
$811$	6.36875	+	17.4980i	0.223637	+	0.614438i	0.999872	−	0.0160060i	$-0.00509509\pi$
$811$	6.36875	+	17.4980i	0.223637	+	0.614438i	−0.776235	+	0.630444i	$0.782873\pi$
$812$	19.5807	−	10.8678i	0.687147	−	0.381384i
$813$	−1.85255	−	0.326655i	−0.0649718	−	0.0114563i
$814$	1.19113	−	6.43659i	0.0417491	−	0.225602i
$815$	−2.31285	+	1.94071i	−0.0810155	+	0.0679801i
$816$	20.1432	+	25.7240i	0.705153	+	0.900521i
$817$	18.8593	−	39.8368i	0.659802	−	1.39371i
$818$	−5.01275	−	29.9048i	−0.175267	−	1.04560i
$819$	−26.5363	−	31.6247i	−0.927252	−	1.10506i
$820$	−0.162289	+	9.59852i	−0.00566736	+	0.335195i
$821$	−32.2022	−	5.67811i	−1.12386	−	0.198168i	−0.419327	−	0.907835i	$-0.637734\pi$
$821$	−32.2022	−	5.67811i	−1.12386	−	0.198168i	−0.704537	+	0.709668i	$0.748845\pi$
$822$	12.6495	+	35.6901i	0.441203	+	1.24484i
$823$	1.34982	−	0.491293i	0.0470516	−	0.0171254i	−0.318387	−	0.947961i	$-0.603141\pi$
$823$	1.34982	−	0.491293i	0.0470516	−	0.0171254i	0.365439	+	0.930835i	$0.380919\pi$
$824$	−7.65742	−	0.194227i	−0.266759	−	0.00676622i
$825$	13.1441	+	22.7663i	0.457619	+	0.792620i
$826$	−23.6659	−	13.9315i	−0.823441	−	0.484740i
$827$	18.2093	−	21.7010i	0.633200	−	0.754618i	−0.350080	−	0.936720i	$-0.613846\pi$
$827$	18.2093	−	21.7010i	0.633200	−	0.754618i	0.983280	+	0.182102i	$0.0582900\pi$
$828$	−1.29439	−	1.12395i	−0.0449831	−	0.0390600i
$829$	−20.8885	−	12.0600i	−0.725489	−	0.418861i	0.0912804	−	0.995825i	$-0.470904\pi$
$829$	−20.8885	−	12.0600i	−0.725489	−	0.418861i	−0.816770	+	0.576964i	$0.804237\pi$
$830$	18.8404	+	33.2790i	0.653959	+	1.15513i
$831$	8.61347	+	48.8494i	0.298798	+	1.69457i
$832$	13.4680	−	14.4903i	0.466918	−	0.502359i
$833$	3.63386	+	1.32262i	0.125906	+	0.0458259i
$834$	24.4386	+	20.8610i	0.846239	+	0.722356i
$835$		−	13.3824i		−	0.463116i
$836$	−10.3039	+	0.665939i	−0.356368	+	0.0230320i
$837$			17.5525i			0.606703i
$838$	−8.93997	+	10.4732i	−0.308826	+	0.361789i
$839$	12.1573	+	4.42491i	0.419718	+	0.152765i	0.543241	−	0.839577i	$-0.317197\pi$
$839$	12.1573	+	4.42491i	0.419718	+	0.152765i	−0.123523	+	0.992342i	$0.539419\pi$
$840$	69.2023	−	23.2180i	2.38771	−	0.801096i
$841$	1.07278	+	6.08403i	0.0369923	+	0.209794i
$842$	22.1160	−	12.5206i	0.762168	−	0.431489i
$843$	−39.1983	−	22.6312i	−1.35006	−	0.779459i
$844$	16.0300	−	18.4608i	0.551774	−	0.635446i
$845$	−15.3156	+	18.2525i	−0.526874	+	0.627904i
$846$	18.4177	−	31.2866i	0.633213	−	1.07566i
$847$	11.2473	+	19.4808i	0.386460	+	0.669369i
$848$	−22.9345	+	3.24883i	−0.787574	+	0.111565i
$849$	−56.4689	+	20.5530i	−1.93801	+	0.705377i
$850$	−23.8728	+	8.46115i	−0.818830	+	0.290215i
$851$	−0.463135	−	0.0816633i	−0.0158761	−	0.00279938i
$852$	−0.0249375	+	1.47492i	−0.000854346	+	0.0505301i
$853$	11.4863	+	13.6889i	0.393284	+	0.468698i	0.925960	−	0.377621i	$-0.123258\pi$
$853$	11.4863	+	13.6889i	0.393284	+	0.468698i	−0.532676	+	0.846319i	$0.678813\pi$
$854$	38.7655	−	6.49803i	1.32653	−	0.222358i
$855$	97.6394	−	44.8400i	3.33920	−	1.53350i
$856$	20.9819	−	11.4145i	0.717145	−	0.390141i
$857$	−19.7227	+	16.5493i	−0.673715	+	0.565314i	−0.914163	−	0.405348i	$-0.867150\pi$
$857$	−19.7227	+	16.5493i	−0.673715	+	0.565314i	0.240447	+	0.970662i	$0.422706\pi$
$858$	12.9582	+	2.39800i	0.442387	+	0.0818664i
$859$	−44.6049	−	7.86505i	−1.52190	−	0.268352i	−0.650721	−	0.759317i	$-0.725533\pi$
$859$	−44.6049	−	7.86505i	−1.52190	−	0.268352i	−0.871179	+	0.490965i	$0.836644\pi$
$860$	−33.9631	−	61.1921i	−1.15813	−	2.08663i
$861$	3.53762	+	9.71952i	0.120562	+	0.331240i
$862$	−23.6839	−	8.84766i	−0.806677	−	0.301352i
$863$	19.9734	+	34.5949i	0.679902	+	1.17762i	0.975010	+	0.222161i	$0.0713110\pi$
$863$	19.9734	+	34.5949i	0.679902	+	1.17762i	−0.295108	+	0.955464i	$0.595356\pi$
$864$	−73.5522	+	9.78571i	−2.50229	+	0.332917i
$865$	−26.2139	−	21.9961i	−0.891300	−	0.747890i
$866$	25.1167	−	20.7161i	0.853500	−	0.703963i
$867$	28.6810	+	16.5590i	0.974058	+	0.562373i
$868$	4.87283	−	3.95035i	0.165395	−	0.134084i
$869$	−19.1426	+	3.37535i	−0.649367	+	0.114501i
$870$	0.628791	−	74.3847i	0.0213180	−	2.52188i
$871$	−28.2023	−	10.2648i	−0.955597	−	0.347809i
$872$	−17.0557	+	43.4028i	−0.577578	+	1.46980i
$873$	111.956			3.78913
$874$	0.0540993	+	0.739839i	0.00182994	+	0.0250254i
$875$			16.0288i			0.541872i
$876$	14.2283	+	8.53866i	0.480731	+	0.288495i
$877$	7.15883	−	19.6687i	0.241736	−	0.664166i	−0.758190	−	0.652034i	$-0.773916\pi$
$877$	7.15883	−	19.6687i	0.241736	−	0.664166i	0.999926	−	0.0121318i	$-0.00386176\pi$
$878$	26.2754	+	0.222112i	0.886753	+	0.00749592i
$879$	0.390615	+	2.21529i	0.0131751	+	0.0747198i
$880$	−8.67293	+	13.9134i	−0.292364	+	0.469022i
$881$	18.6701	−	32.3375i	0.629010	−	1.08948i	−0.358740	−	0.933437i	$-0.616794\pi$
$881$	18.6701	−	32.3375i	0.629010	−	1.08948i	0.987751	−	0.156040i	$-0.0498730\pi$
$882$	−11.7052	+	9.65442i	−0.394135	+	0.325081i
$883$	−31.1028	+	37.0669i	−1.04669	+	1.24740i	−0.0785733	+	0.996908i	$0.525036\pi$
$883$	−31.1028	+	37.0669i	−1.04669	+	1.24740i	−0.968119	+	0.250491i	$0.919408\pi$
$884$	−4.54365	+	11.8560i	−0.152819	+	0.398760i
$885$	−78.9989	+	45.6101i	−2.65552	+	1.53317i
$886$	1.73916	−	4.65548i	0.0584283	−	0.156404i
$887$	−23.8454	+	8.67903i	−0.800652	+	0.291413i	−0.709757	−	0.704447i	$-0.751195\pi$
$887$	−23.8454	+	8.67903i	−0.800652	+	0.291413i	−0.0908953	+	0.995860i	$0.528973\pi$
$888$	−27.5047	+	21.9151i	−0.922997	+	0.735423i
$889$	0.413397	−	2.34449i	0.0138649	−	0.0786316i
$890$	−31.9457	−	5.91175i	−1.07082	−	0.198162i
$891$	−15.5041	−	18.4771i	−0.519408	−	0.619006i
$892$	28.5103	−	9.83433i	0.954595	−	0.329278i
$893$	−15.1984	+	3.97774i	−0.508595	+	0.133110i
$894$	−5.09505	−	30.3957i	−0.170404	−	1.01659i
$895$	−33.9880	+	28.5193i	−1.13609	+	0.953296i
$896$	19.2703	+	18.2168i	0.643774	+	0.608580i
$897$	0.164406	−	0.932391i	0.00548935	−	0.0311316i
$898$	9.24569	−	3.27692i	0.308533	−	0.109352i
$899$	−2.18644	−	6.00720i	−0.0729220	−	0.200351i
$900$	18.9087	−	97.5620i	0.630291	−	3.25207i
$901$	12.8749	−	7.43334i	0.428926	−	0.247640i
$902$	−2.00209	−	1.17858i	−0.0666623	−	0.0392425i
$903$	−57.7636	−	48.4694i	−1.92225	−	1.61296i
$904$	15.7425	−	25.7367i	0.523586	−	0.855991i
$905$	−12.6001	+	21.8240i	−0.418841	+	0.725453i
$906$	1.12664	−	0.637832i	0.0374303	−	0.0211906i
$907$	13.0629	−	2.30334i	0.433746	−	0.0764812i	0.0474880	−	0.998872i	$-0.484878\pi$
$907$	13.0629	−	2.30334i	0.433746	−	0.0764812i	0.386258	+	0.922391i	$0.373767\pi$
$908$	−2.57127	+	0.408692i	−0.0853306	+	0.0135629i
$909$	7.56262	−	20.7781i	0.250836	−	0.689167i
$910$	21.5748	+	18.4164i	0.715198	+	0.610499i
$911$	−4.32705			−0.143362			−0.0716808	−	0.997428i	$-0.522836\pi$
$911$	−4.32705			−0.143362			−0.0716808	+	0.997428i	$0.522836\pi$
$912$	44.1448	+	33.5937i	1.46178	+	1.11240i
$913$	−9.25481			−0.306289
$914$	−7.95461	−	6.79012i	−0.263115	−	0.224597i
$915$	44.6553	−	122.690i	1.47626	−	4.05599i
$916$	43.7323	−	6.95105i	1.44496	−	0.229669i
$917$	−21.5547	+	3.80068i	−0.711800	+	0.125510i
$918$	41.4425	−	23.4620i	1.36780	−	0.774361i
$919$	−20.2836	+	35.1322i	−0.669094	+	1.15891i	0.309063	+	0.951041i	$0.399985\pi$
$919$	−20.2836	+	35.1322i	−0.669094	+	1.15891i	−0.978158	+	0.207864i	$0.933349\pi$
$920$	1.00483	+	0.614624i	0.0331281	+	0.0202635i
$921$	25.3158	+	21.2425i	0.834185	+	0.699964i
$922$	6.00933	+	3.53755i	0.197907	+	0.116503i
$923$	−0.496454	+	0.286628i	−0.0163410	+	0.00943447i
$924$	−3.36113	+	17.3422i	−0.110573	+	0.570515i
$925$	−9.32433	−	25.6184i	−0.306582	−	0.842328i
$926$	−31.3188	+	11.1002i	−1.02920	+	0.364775i
$927$	−3.34960	+	18.9965i	−0.110015	+	0.623927i
$928$	23.9537	−	12.5112i	0.786318	−	0.410699i
$929$	−26.7733	+	22.4655i	−0.878403	+	0.737068i	−0.965850	−	0.259101i	$-0.916574\pi$
$929$	−26.7733	+	22.4655i	−0.878403	+	0.737068i	0.0874468	+	0.996169i	$0.472129\pi$
$930$	−3.44468	−	20.5500i	−0.112955	−	0.673862i
$931$	6.53738	+	0.610308i	0.214254	+	0.0200020i
$932$	−21.1574	+	7.29804i	−0.693035	+	0.239055i
$933$	21.0657	+	25.1051i	0.689660	+	0.821905i
$934$	9.43907	+	1.74676i	0.308856	+	0.0571556i
$935$	1.82725	−	10.3629i	0.0597575	−	0.338902i
$936$	−31.0443	−	38.9624i	−1.01472	−	1.27352i
$937$	1.94618	−	0.708351i	0.0635788	−	0.0231408i	−0.310035	−	0.950725i	$-0.600341\pi$
$937$	1.94618	−	0.708351i	0.0635788	−	0.0231408i	0.373614	+	0.927584i	$0.378119\pi$
$938$	14.0786	−	37.6862i	0.459681	−	1.23050i
$939$	−53.9408	+	31.1427i	−1.76029	+	1.01630i
$940$	−8.92700	+	23.2937i	−0.291167	+	0.759757i
$941$	−33.8771	+	40.3732i	−1.10436	+	1.31613i	−0.160039	+	0.987111i	$0.551162\pi$
$941$	−33.8771	+	40.3732i	−1.10436	+	1.31613i	−0.944324	+	0.329018i	$0.893282\pi$
$942$	−82.8147	+	68.3053i	−2.69825	+	2.22551i
$943$	−0.0834549	+	0.144548i	−0.00271767	+	0.00470714i
$944$	−28.1230	−	17.5304i	−0.915326	−	0.570567i
$945$	−18.4753	−	104.779i	−0.601001	−	3.40845i
$946$	16.9363	+	0.143167i	0.550647	+	0.00465475i
$947$	14.6569	−	40.2696i	0.476287	−	1.30859i	−0.436336	−	0.899784i	$-0.643724\pi$
$947$	14.6569	−	40.2696i	0.476287	−	1.30859i	0.912623	−	0.408803i	$-0.134054\pi$
$948$	89.5439	+	53.7367i	2.90825	+	1.74529i
$949$			6.44856i			0.209329i
$950$	−35.5750	+	24.1606i	−1.15420	+	0.783872i
$951$	65.3967			2.12063
$952$	−15.8404	−	6.22468i	−0.513390	−	0.201743i
$953$	34.3616	+	12.5066i	1.11308	+	0.405128i	0.832122	−	0.554592i	$-0.187126\pi$
$953$	34.3616	+	12.5066i	1.11308	+	0.405128i	0.280958	+	0.959720i	$0.409348\pi$
$954$	−0.493072	+	58.3294i	−0.0159638	+	1.88849i
$955$	7.28650	−	1.28481i	0.235786	−	0.0415754i
$956$	−25.6338	+	20.7811i	−0.829058	+	0.672109i
$957$	15.5904	+	9.00111i	0.503965	+	0.290964i
$958$	−35.1722	+	29.0099i	−1.13636	+	0.937267i
$959$	−15.1101	−	12.6789i	−0.487930	−	0.409422i
$960$	84.1926	−	25.8915i	2.71730	−	0.835644i
$961$	14.6047	+	25.2960i	0.471118	+	0.816001i
$962$	−12.8025	−	4.78267i	−0.412769	−	0.154199i
$963$	−20.5727	−	56.5230i	−0.662945	−	1.82143i
$964$	−10.9390	−	19.7090i	−0.352320	−	0.634783i
$965$	−1.73445	−	0.305830i	−0.0558339	−	0.00984503i
$966$	1.24792	+	0.230935i	0.0401512	+	0.00743023i
$967$	−7.24814	+	6.08191i	−0.233084	+	0.195581i	−0.751848	−	0.659337i	$-0.770837\pi$
$967$	−7.24814	+	6.08191i	−0.233084	+	0.195581i	0.518763	+	0.854918i	$0.326393\pi$
$968$	12.9720	+	23.8448i	0.416937	+	0.766401i
$969$	−34.3363	−	9.41493i	−1.10304	−	0.302451i
$970$	−75.8678	+	12.7173i	−2.43597	+	0.408326i
$971$	25.9759	+	30.9569i	0.833606	+	0.993453i	0.999973	+	0.00738879i	$0.00235195\pi$
$971$	25.9759	+	30.9569i	0.833606	+	0.993453i	−0.166367	+	0.986064i	$0.553204\pi$
$972$	−0.860221	+	50.8776i	−0.0275916	+	1.63190i
$973$	−16.4835	−	2.90649i	−0.528437	−	0.0931778i
$974$	25.9232	−	9.18786i	0.830632	−	0.294398i
$975$	51.5753	−	18.7719i	1.65173	−	0.601182i
$976$	46.9636	−	6.65273i	1.50327	−	0.212949i
$977$	−12.4336	−	21.5357i	−0.397787	−	0.688988i	0.595665	−	0.803233i	$-0.296888\pi$
$977$	−12.4336	−	21.5357i	−0.397787	−	0.688988i	−0.993453	+	0.114245i	$0.963555\pi$
$978$	−1.99143	+	3.38290i	−0.0636790	+	0.108173i
$979$	5.05381	−	6.02290i	0.161520	−	0.192493i
$980$	6.83548	−	7.87201i	0.218351	−	0.251462i
$981$	101.702	+	58.7177i	3.24710	+	1.87471i
$982$	26.5205	−	15.0141i	0.846303	−	0.479121i
$983$	−7.21960	−	40.9444i	−0.230269	−	1.30592i	−0.852351	−	0.522970i	$-0.824824\pi$
$983$	−7.21960	−	40.9444i	−0.230269	−	1.30592i	0.622081	−	0.782953i	$-0.286287\pi$
$984$	3.97020	+	11.8334i	0.126565	+	0.377234i
$985$	49.5526	+	18.0357i	1.57888	+	0.574664i
$986$	−11.2608	+	13.1920i	−0.358616	+	0.420119i
$987$			26.8775i			0.855520i
$988$	−2.36641	+	21.4274i	−0.0752855	+	0.681696i
$989$		−	1.21681i		−	0.0386924i
$990$	31.4025	+	26.8054i	0.998037	+	0.851932i
$991$	−43.4540	−	15.8160i	−1.38036	−	0.502411i	−0.458074	−	0.888914i	$-0.651460\pi$
$991$	−43.4540	−	15.8160i	−1.38036	−	0.502411i	−0.922288	+	0.386504i	$0.873683\pi$
$992$	5.99920	−	4.61640i	0.190475	−	0.146571i
$993$	−8.98787	−	50.9727i	−0.285221	−	1.61757i
$994$	−0.378573	−	0.668699i	−0.0120076	−	0.0212098i
$995$	24.4629	+	14.1236i	0.775525	+	0.447749i
$996$	37.5433	+	32.5998i	1.18960	+	1.03297i
$997$	−22.8898	+	27.2790i	−0.724927	+	0.863934i	−0.995100	−	0.0988778i	$-0.968475\pi$
$997$	−22.8898	+	27.2790i	−0.724927	+	0.863934i	0.270173	+	0.962812i	$0.412919\pi$
$998$	7.60880	+	4.47912i	0.240852	+	0.141784i
$999$	25.6303	+	44.3929i	0.810906	+	1.40453i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	152.2.t.a.101.5	✓	108
4.3	odd	2		608.2.bf.a.177.1		108
8.3	odd	2		608.2.bf.a.177.18		108
8.5	even	2	inner	152.2.t.a.101.13	yes	108
19.16	even	9	inner	152.2.t.a.149.13	yes	108
76.35	odd	18		608.2.bf.a.529.18		108
152.35	odd	18		608.2.bf.a.529.1		108
152.149	even	18	inner	152.2.t.a.149.5	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
152.2.t.a.101.5	✓	108	1.1	even	1	trivial
152.2.t.a.101.13	yes	108	8.5	even	2	inner
152.2.t.a.149.5	yes	108	152.149	even	18	inner
152.2.t.a.149.13	yes	108	19.16	even	9	inner
608.2.bf.a.177.1		108	4.3	odd	2
608.2.bf.a.177.18		108	8.3	odd	2
608.2.bf.a.529.1		108	152.35	odd	18
608.2.bf.a.529.18		108	76.35	odd	18

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:	\( N \)	\(=\)	\( 152 = 2^{3} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	152.t (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.07563 - 0.918164i) q^{2} +(1.08818 - 2.98974i) q^{3} +(0.313950 + 1.97521i) q^{4} +(-3.40808 + 0.600936i) q^{5} +(-3.91555 + 2.21673i) q^{6} +(1.17193 - 2.02985i) q^{7} +(1.47587 - 2.41284i) q^{8} +(-5.45631 - 4.57839i) q^{9} +O(q^{10})\)	\(q+(-1.07563 - 0.918164i) q^{2} +(1.08818 - 2.98974i) q^{3} +(0.313950 + 1.97521i) q^{4} +(-3.40808 + 0.600936i) q^{5} +(-3.91555 + 2.21673i) q^{6} +(1.17193 - 2.02985i) q^{7} +(1.47587 - 2.41284i) q^{8} +(-5.45631 - 4.57839i) q^{9} +(4.21758 + 2.48279i) q^{10} +(-1.02572 + 0.592202i) q^{11} +(6.24699 + 1.21074i) q^{12} +(0.845759 + 2.32370i) q^{13} +(-3.12429 + 1.10733i) q^{14} +(-1.91195 + 10.8432i) q^{15} +(-3.80287 + 1.24023i) q^{16} +(1.96664 - 1.65021i) q^{17} +(1.66525 + 9.93442i) q^{18} +(2.52090 - 3.55599i) q^{19} +(-2.25694 - 6.54299i) q^{20} +(-4.79345 - 5.71261i) q^{21} +(1.64703 + 0.304794i) q^{22} +(0.0208965 - 0.118510i) q^{23} +(-5.60778 - 7.03807i) q^{24} +(6.55540 - 2.38597i) q^{25} +(1.22382 - 3.27598i) q^{26} +(-11.3595 + 6.55844i) q^{27} +(4.37729 + 1.67754i) q^{28} +(3.07076 - 3.65959i) q^{29} +(12.0124 - 9.90777i) q^{30} +(0.669081 - 1.15888i) q^{31} +(5.22921 + 2.15763i) q^{32} +(0.654362 + 3.71107i) q^{33} +(-3.63053 - 0.0306897i) q^{34} +(-2.77423 + 7.62213i) q^{35} +(7.33024 - 12.2147i) q^{36} -3.90798i q^{37} +(-5.97653 + 1.51032i) q^{38} +7.86762 q^{39} +(-3.57991 + 9.11006i) q^{40} +(-1.30336 - 0.474384i) q^{41} +(-0.0891462 + 10.5458i) q^{42} +(9.95798 - 1.75586i) q^{43} +(-1.49175 - 1.84009i) q^{44} +(21.3468 + 12.3246i) q^{45} +(-0.131288 + 0.108286i) q^{46} +(-2.76097 - 2.31673i) q^{47} +(-0.430227 + 12.7192i) q^{48} +(0.753150 + 1.30449i) q^{49} +(-9.24188 - 3.45251i) q^{50} +(-2.79364 - 7.67546i) q^{51} +(-4.32426 + 2.40007i) q^{52} +(5.70289 + 1.00557i) q^{53} +(18.2404 + 3.37549i) q^{54} +(3.13987 - 2.63466i) q^{55} +(-3.16808 - 5.82347i) q^{56} +(-7.88831 - 11.4064i) q^{57} +(-6.66309 + 1.11689i) q^{58} +(5.32540 + 6.34656i) q^{59} +(-22.0178 - 0.372270i) q^{60} +(-11.6780 - 2.05914i) q^{61} +(-1.78373 + 0.632200i) q^{62} +(-15.6878 + 5.70991i) q^{63} +(-3.64362 - 7.12208i) q^{64} +(-4.27881 - 7.41111i) q^{65} +(2.70352 - 4.59254i) q^{66} +(-7.80137 + 9.29731i) q^{67} +(3.87692 + 3.36643i) q^{68} +(-0.331576 - 0.191435i) q^{69} +(9.98240 - 5.65137i) q^{70} +(0.0402554 + 0.228300i) q^{71} +(-19.0997 + 6.40812i) q^{72} +(2.45049 + 0.891907i) q^{73} +(-3.58817 + 4.20354i) q^{74} -22.1953i q^{75} +(7.81524 + 3.86290i) q^{76} +2.77608i q^{77} +(-8.46262 - 7.22376i) q^{78} +(15.4218 + 5.61308i) q^{79} +(12.2152 - 6.51208i) q^{80} +(3.53631 + 20.0554i) q^{81} +(0.966367 + 1.70696i) q^{82} +(6.76703 + 3.90695i) q^{83} +(9.77868 - 11.2615i) q^{84} +(-5.71078 + 6.80585i) q^{85} +(-12.3232 - 7.25441i) q^{86} +(-7.59970 - 13.1631i) q^{87} +(-0.0849438 + 3.34892i) q^{88} +(-6.23789 + 2.27041i) q^{89} +(-11.6452 - 32.8566i) q^{90} +(5.70793 + 1.00646i) q^{91} +(0.240642 + 0.00406870i) q^{92} +(-2.73668 - 3.26145i) q^{93} +(0.842639 + 5.02696i) q^{94} +(-6.45450 + 13.6340i) q^{95} +(12.1411 - 13.2861i) q^{96} +(-12.0408 + 10.1034i) q^{97} +(0.387630 - 2.09467i) q^{98} +(8.30799 + 1.46492i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

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