LMFDB - Embedded newform 99.2.m.b.58.8

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [99,2,Mod(4,99)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(99, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([10, 6])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("99.4"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.m (of order $15$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [72] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$9$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			58.8
Character	$\chi$	$=$	99.58
Dual form			99.2.m.b.70.8

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.41247 + 0.628870i) q^{2} +(-0.215098 + 1.71864i) q^{3} +(0.261321 + 0.290226i) q^{4} +(0.540848 - 0.240801i) q^{5} +(-1.38462 + 2.29226i) q^{6} +(-0.706174 + 0.150102i) q^{7} +(-0.768973 - 2.36665i) q^{8} +(-2.90747 - 0.739353i) q^{9} +0.915362 q^{10} +(3.10382 - 1.16888i) q^{11} +(-0.555005 + 0.386690i) q^{12} +(0.164629 + 1.56634i) q^{13} +(-1.09184 - 0.232078i) q^{14} +(0.297516 + 0.981321i) q^{15} +(0.483816 - 4.60320i) q^{16} +(-3.71501 - 2.69911i) q^{17} +(-3.64174 - 2.87273i) q^{18} +(0.775200 + 2.38582i) q^{19} +(0.211222 + 0.0940420i) q^{20} +(-0.106075 - 1.24595i) q^{21} +(5.11912 + 0.300892i) q^{22} +(2.22600 - 3.85554i) q^{23} +(4.23284 - 0.812527i) q^{24} +(-3.11112 + 3.45525i) q^{25} +(-0.752490 + 2.31593i) q^{26} +(1.89607 - 4.83786i) q^{27} +(-0.228102 - 0.165726i) q^{28} +(-6.82612 + 1.45094i) q^{29} +(-0.196892 + 1.57318i) q^{30} +(0.954161 + 9.07824i) q^{31} +(1.08974 - 1.88749i) q^{32} +(1.34127 + 5.58579i) q^{33} +(-3.54993 - 6.14866i) q^{34} +(-0.345788 + 0.251230i) q^{35} +(-0.545202 - 1.03703i) q^{36} +(0.893583 - 2.75017i) q^{37} +(-0.405428 + 3.85739i) q^{38} +(-2.72738 - 0.0539778i) q^{39} +(-0.985790 - 1.09483i) q^{40} +(1.12890 + 0.239955i) q^{41} +(0.633712 - 1.82657i) q^{42} +(2.10724 + 3.64985i) q^{43} +(1.15033 + 0.595357i) q^{44} +(-1.75053 + 0.300244i) q^{45} +(5.56879 - 4.04596i) q^{46} +(-0.152264 + 0.169107i) q^{47} +(7.80719 + 1.82164i) q^{48} +(-5.91867 + 2.63516i) q^{49} +(-6.56726 + 2.92393i) q^{50} +(5.43790 - 5.80420i) q^{51} +(-0.411571 + 0.457096i) q^{52} +(4.61430 - 3.35249i) q^{53} +(5.72053 - 5.64093i) q^{54} +(1.39723 - 1.37959i) q^{55} +(0.898268 + 1.55585i) q^{56} +(-4.26712 + 0.819107i) q^{57} +(-10.5541 - 2.24335i) q^{58} +(4.77328 + 5.30126i) q^{59} +(-0.207058 + 0.342787i) q^{60} +(-0.476541 + 4.53398i) q^{61} +(-4.36131 + 13.4227i) q^{62} +(2.16416 + 0.0856954i) q^{63} +(-4.76295 + 3.46049i) q^{64} +(0.466215 + 0.807507i) q^{65} +(-1.61824 + 8.73322i) q^{66} +(4.04571 - 7.00738i) q^{67} +(-0.187456 - 1.78353i) q^{68} +(6.14750 + 4.65502i) q^{69} +(-0.646405 + 0.137398i) q^{70} +(9.95852 + 7.23528i) q^{71} +(0.485970 + 7.44951i) q^{72} +(4.78461 - 14.7255i) q^{73} +(2.99165 - 3.32257i) q^{74} +(-5.26915 - 6.09012i) q^{75} +(-0.489852 + 0.848448i) q^{76} +(-2.01639 + 1.29133i) q^{77} +(-3.81839 - 1.79141i) q^{78} +(-13.3556 - 5.94631i) q^{79} +(-0.846785 - 2.60614i) q^{80} +(7.90672 + 4.29928i) q^{81} +(1.44363 + 1.04886i) q^{82} +(0.726787 - 6.91491i) q^{83} +(0.333887 - 0.356378i) q^{84} +(-2.65920 - 0.565231i) q^{85} +(0.681124 + 6.48047i) q^{86} +(-1.02536 - 12.0438i) q^{87} +(-5.15310 - 6.44683i) q^{88} +12.4803 q^{89} +(-2.66138 - 0.676775i) q^{90} +(-0.351367 - 1.08140i) q^{91} +(1.70068 - 0.361491i) q^{92} +(-15.8075 - 0.312847i) q^{93} +(-0.321414 + 0.143103i) q^{94} +(0.993774 + 1.10370i) q^{95} +(3.00952 + 2.27887i) q^{96} +(12.9545 + 5.76772i) q^{97} -10.0171 q^{98} +(-9.88847 + 1.10367i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) $ 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{4}{5}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	1.41247	+	0.628870i	0.998764	+	0.444679i	0.839970	−	0.542633i	$-0.182573\pi$
$2$	1.41247	+	0.628870i	0.998764	+	0.444679i	0.158794	+	0.987312i	$0.449239\pi$
$3$	−0.215098	+	1.71864i	−0.124187	+	0.992259i
$3$	−0.215098	+	1.71864i	−0.124187	+	0.992259i
$4$	0.261321	+	0.290226i	0.130660	+	0.145113i
$5$	0.540848	−	0.240801i	0.241875	−	0.107690i	−0.282220	−	0.959350i	$-0.591071\pi$
$5$	0.540848	−	0.240801i	0.241875	−	0.107690i	0.524094	+	0.851660i	$0.324404\pi$
$6$	−1.38462	+	2.29226i	−0.565269	+	0.935810i
$7$	−0.706174	+	0.150102i	−0.266909	+	0.0567332i	−0.339422	−	0.940634i	$-0.610231\pi$
$7$	−0.706174	+	0.150102i	−0.266909	+	0.0567332i	0.0725131	+	0.997367i	$0.476898\pi$
$8$	−0.768973	−	2.36665i	−0.271873	−	0.836739i
$9$	−2.90747	−	0.739353i	−0.969155	−	0.246451i
$10$	0.915362			0.289463
$11$	3.10382	−	1.16888i	0.935837	−	0.352432i
$11$	3.10382	−	1.16888i	0.935837	−	0.352432i
$12$	−0.555005	+	0.386690i	−0.160216	+	0.111628i
$13$	0.164629	+	1.56634i	0.0456598	+	0.434424i	0.993342	+	0.115207i	$0.0367531\pi$
$13$	0.164629	+	1.56634i	0.0456598	+	0.434424i	−0.947682	+	0.319217i	$0.896580\pi$
$14$	−1.09184	−	0.232078i	−0.291807	−	0.0620255i
$15$	0.297516	+	0.981321i	0.0768183	+	0.253376i
$16$	0.483816	−	4.60320i	0.120954	−	1.15080i
$17$	−3.71501	−	2.69911i	−0.901022	−	0.654631i	0.0377065	−	0.999289i	$-0.487995\pi$
$17$	−3.71501	−	2.69911i	−0.901022	−	0.654631i	−0.938728	+	0.344658i	$0.887995\pi$
$18$	−3.64174	−	2.87273i	−0.858366	−	0.677109i
$19$	0.775200	+	2.38582i	0.177843	+	0.547345i	0.999752	−	0.0222743i	$-0.00709072\pi$
$19$	0.775200	+	2.38582i	0.177843	+	0.547345i	−0.821909	+	0.569619i	$0.807091\pi$
$20$	0.211222	+	0.0940420i	0.0472306	+	0.0210284i
$21$	−0.106075	−	1.24595i	−0.0231475	−	0.271888i
$22$	5.11912	+	0.300892i	1.09140	+	0.0641503i
$23$	2.22600	−	3.85554i	0.464153	−	0.803937i	−0.535010	−	0.844846i	$-0.679692\pi$
$23$	2.22600	−	3.85554i	0.464153	−	0.803937i	0.999163	+	0.0409092i	$0.0130255\pi$
$24$	4.23284	−	0.812527i	0.864024	−	0.165856i
$25$	−3.11112	+	3.45525i	−0.622224	+	0.691050i
$26$	−0.752490	+	2.31593i	−0.147576	+	0.454191i
$27$	1.89607	−	4.83786i	0.364899	−	0.931047i
$28$	−0.228102	−	0.165726i	−0.0431072	−	0.0313192i
$29$	−6.82612	+	1.45094i	−1.26758	+	0.269432i	−0.792152	−	0.610323i	$-0.791040\pi$
$29$	−6.82612	+	1.45094i	−1.26758	+	0.269432i	−0.475426	+	0.879755i	$0.657706\pi$
$30$	−0.196892	+	1.57318i	−0.0359475	+	0.287222i
$31$	0.954161	+	9.07824i	0.171372	+	1.63050i	0.655284	+	0.755382i	$0.272549\pi$
$31$	0.954161	+	9.07824i	0.171372	+	1.63050i	−0.483912	+	0.875117i	$0.660784\pi$
$32$	1.08974	−	1.88749i	0.192641	−	0.333664i
$33$	1.34127	+	5.58579i	0.233485	+	0.972360i
$34$	−3.54993	−	6.14866i	−0.608808	−	1.05449i
$35$	−0.345788	+	0.251230i	−0.0584489	+	0.0424656i
$36$	−0.545202	−	1.03703i	−0.0908670	−	0.172839i
$37$	0.893583	−	2.75017i	0.146904	−	0.452125i	−0.850347	−	0.526223i	$-0.823608\pi$
$37$	0.893583	−	2.75017i	0.146904	−	0.452125i	0.997251	+	0.0740981i	$0.0236078\pi$
$38$	−0.405428	+	3.85739i	−0.0657691	+	0.625751i
$39$	−2.72738	−	0.0539778i	−0.436731	−	0.00864336i
$40$	−0.985790	−	1.09483i	−0.155867	−	0.173108i
$41$	1.12890	+	0.239955i	0.176304	+	0.0374747i	0.295218	−	0.955430i	$-0.404608\pi$
$41$	1.12890	+	0.239955i	0.176304	+	0.0374747i	−0.118913	+	0.992905i	$0.537941\pi$
$42$	0.633712	−	1.82657i	0.0977839	−	0.281845i
$43$	2.10724	+	3.64985i	0.321351	+	0.556596i	0.980767	−	0.195182i	$-0.0625297\pi$
$43$	2.10724	+	3.64985i	0.321351	+	0.556596i	−0.659416	+	0.751778i	$0.729196\pi$
$44$	1.15033	+	0.595357i	0.173419	+	0.0897534i
$45$	−1.75053	+	0.300244i	−0.260954	+	0.0447577i
$46$	5.56879	−	4.04596i	0.821073	−	0.596544i
$47$	−0.152264	+	0.169107i	−0.0222100	+	0.0246667i	−0.754147	−	0.656705i	$-0.771950\pi$
$47$	−0.152264	+	0.169107i	−0.0222100	+	0.0246667i	0.731937	+	0.681372i	$0.238616\pi$
$48$	7.80719	+	1.82164i	1.12687	+	0.262932i
$49$	−5.91867	+	2.63516i	−0.845524	+	0.376451i
$50$	−6.56726	+	2.92393i	−0.928751	+	0.413506i
$51$	5.43790	−	5.80420i	0.761458	−	0.812750i
$52$	−0.411571	+	0.457096i	−0.0570747	+	0.0633878i
$53$	4.61430	−	3.35249i	0.633823	−	0.460500i	−0.223899	−	0.974612i	$-0.571879\pi$
$53$	4.61430	−	3.35249i	0.633823	−	0.460500i	0.857723	+	0.514113i	$0.171879\pi$
$54$	5.72053	−	5.64093i	0.778465	−	0.767634i
$55$	1.39723	−	1.37959i	0.188402	−	0.186024i
$56$	0.898268	+	1.55585i	0.120036	+	0.207909i
$57$	−4.26712	+	0.819107i	−0.565193	+	0.108493i
$58$	−10.5541	−	2.24335i	−1.38582	−	0.294566i
$59$	4.77328	+	5.30126i	0.621428	+	0.690166i	0.968880	−	0.247532i	$-0.0796196\pi$
$59$	4.77328	+	5.30126i	0.621428	+	0.690166i	−0.347452	+	0.937698i	$0.612953\pi$
$60$	−0.207058	+	0.342787i	−0.0267311	+	0.0442536i
$61$	−0.476541	+	4.53398i	−0.0610148	+	0.580517i	0.920715	+	0.390236i	$0.127607\pi$
$61$	−0.476541	+	4.53398i	−0.0610148	+	0.580517i	−0.981730	+	0.190281i	$0.939060\pi$
$62$	−4.36131	+	13.4227i	−0.553887	+	1.70469i
$63$	2.16416	+	0.0856954i	0.272658	+	0.0107966i
$64$	−4.76295	+	3.46049i	−0.595369	+	0.432561i
$65$	0.466215	+	0.807507i	0.0578268	+	0.100159i
$66$	−1.61824	+	8.73322i	−0.199191	+	1.07498i
$67$	4.04571	−	7.00738i	0.494262	−	0.856087i	−0.505716	−	0.862700i	$-0.668772\pi$
$67$	4.04571	−	7.00738i	0.494262	−	0.856087i	0.999978	+	0.00661279i	$0.00210493\pi$
$68$	−0.187456	−	1.78353i	−0.0227324	−	0.216284i
$69$	6.14750	+	4.65502i	0.740072	+	0.560398i
$70$	−0.646405	+	0.137398i	−0.0772602	+	0.0164222i
$71$	9.95852	+	7.23528i	1.18186	+	0.858670i	0.992380	−	0.123215i	$-0.0393203\pi$
$71$	9.95852	+	7.23528i	1.18186	+	0.858670i	0.189478	+	0.981885i	$0.439320\pi$
$72$	0.485970	+	7.44951i	0.0572721	+	0.877933i
$73$	4.78461	−	14.7255i	0.559996	−	1.72349i	−0.122373	−	0.992484i	$-0.539050\pi$
$73$	4.78461	−	14.7255i	0.559996	−	1.72349i	0.682370	−	0.731007i	$-0.260950\pi$
$74$	2.99165	−	3.32257i	0.347773	−	0.386241i
$75$	−5.26915	−	6.09012i	−0.608429	−	0.703227i
$76$	−0.489852	+	0.848448i	−0.0561899	+	0.0973237i
$77$	−2.01639	+	1.29133i	−0.229789	+	0.147160i
$78$	−3.81839	−	1.79141i	−0.432348	−	0.202838i
$79$	−13.3556	−	5.94631i	−1.50263	−	0.669012i	−0.519925	−	0.854212i	$-0.674040\pi$
$79$	−13.3556	−	5.94631i	−1.50263	−	0.669012i	−0.982701	+	0.185200i	$0.940707\pi$
$80$	−0.846785	−	2.60614i	−0.0946734	−	0.291375i
$81$	7.90672	+	4.29928i	0.878524	+	0.477698i
$82$	1.44363	+	1.04886i	0.159422	+	0.115827i
$83$	0.726787	−	6.91491i	0.0797752	−	0.759010i	−0.879378	−	0.476124i	$-0.842041\pi$
$83$	0.726787	−	6.91491i	0.0797752	−	0.759010i	0.959153	−	0.282886i	$-0.0912920\pi$
$84$	0.333887	−	0.356378i	0.0364301	−	0.0388840i
$85$	−2.65920	−	0.565231i	−0.288431	−	0.0613079i
$86$	0.681124	+	6.48047i	0.0734475	+	0.698807i
$87$	−1.02536	−	12.0438i	−0.109930	−	1.29123i
$88$	−5.15310	−	6.44683i	−0.549322	−	0.687235i
$89$	12.4803			1.32291			0.661453	−	0.749986i	$-0.269940\pi$
$89$	12.4803			1.32291			0.661453	+	0.749986i	$0.269940\pi$
$90$	−2.66138	−	0.676775i	−0.280535	−	0.0713384i
$91$	−0.351367	−	1.08140i	−0.0368332	−	0.113361i
$92$	1.70068	−	0.361491i	0.177308	−	0.0376880i
$93$	−15.8075	−	0.312847i	−1.63916	−	0.0324407i
$94$	−0.321414	+	0.143103i	−0.0331514	+	0.0147599i
$95$	0.993774	+	1.10370i	0.101959	+	0.113237i
$96$	3.00952	+	2.27887i	0.307158	+	0.232586i
$97$	12.9545	+	5.76772i	1.31533	+	0.585623i	0.939970	−	0.341256i	$-0.110852\pi$
$97$	12.9545	+	5.76772i	1.31533	+	0.585623i	0.375360	+	0.926879i	$0.377519\pi$
$98$	−10.0171			−1.01188
$99$	−9.88847	+	1.10367i	−0.993829	+	0.110923i
$100$	−1.81581			−0.181581
$101$	−13.1263	−	5.84421i	−1.30612	−	0.581521i	−0.368641	−	0.929572i	$-0.620177\pi$
$101$	−13.1263	−	5.84421i	−1.30612	−	0.581521i	−0.937476	+	0.348051i	$0.886844\pi$
$102$	11.3309	−	4.77850i	1.12193	−	0.473142i
$103$	−2.96348	−	3.29128i	−0.292000	−	0.324299i	0.579239	−	0.815158i	$-0.303350\pi$
$103$	−2.96348	−	3.29128i	−0.292000	−	0.324299i	−0.871239	+	0.490859i	$0.836683\pi$
$104$	3.58038	−	1.59409i	0.351085	−	0.156313i
$105$	−0.357396	−	0.648325i	−0.0348783	−	0.0632701i
$106$	8.62583	−	1.83348i	0.837815	−	0.178083i
$107$	−4.86529	−	14.9738i	−0.470345	−	1.44757i	−0.852134	−	0.523324i	$-0.824692\pi$
$107$	−4.86529	−	14.9738i	−0.470345	−	1.44757i	0.381788	−	0.924250i	$-0.375308\pi$
$108$	1.89956	−	0.713945i	0.182785	−	0.0686994i
$109$	−13.6970			−1.31194			−0.655969	−	0.754788i	$-0.727740\pi$
$109$	−13.6970			−1.31194			−0.655969	+	0.754788i	$0.727740\pi$
$110$	2.84112	−	1.06995i	0.270890	−	0.102016i
$111$	4.53435	+	2.12731i	0.430381	+	0.201915i
$112$	0.349291	+	3.32328i	0.0330049	+	0.314021i
$113$	−7.85465	−	1.66956i	−0.738904	−	0.157059i	−0.176941	−	0.984221i	$-0.556620\pi$
$113$	−7.85465	−	1.66956i	−0.738904	−	0.157059i	−0.561963	+	0.827163i	$0.689954\pi$
$114$	−6.54227	−	1.52650i	−0.612740	−	0.142970i
$115$	0.275508	−	2.62129i	0.0256913	−	0.244436i
$116$	−2.20491	−	1.60196i	−0.204721	−	0.148738i
$117$	0.679423	−	4.67579i	0.0628127	−	0.432277i
$118$	3.40829	+	10.4896i	0.313758	+	0.965648i
$119$	3.02858	+	1.34841i	0.277630	+	0.123609i
$120$	2.09367	−	1.45873i	0.191125	−	0.133163i
$121$	8.26742	−	7.25602i	0.751583	−	0.659638i
$122$	−3.52438	+	6.10441i	−0.319083	+	0.552668i
$123$	−0.655221	+	1.88856i	−0.0590792	+	0.170286i
$124$	−2.38540	+	2.64926i	−0.214215	+	0.237910i
$125$	−1.76536	+	5.43321i	−0.157898	+	0.485961i
$126$	3.00290	+	1.48202i	0.267520	+	0.132028i
$127$	9.70522	+	7.05126i	0.861199	+	0.625698i	0.928211	−	0.372054i	$-0.121347\pi$
$127$	9.70522	+	7.05126i	0.861199	+	0.625698i	−0.0670118	+	0.997752i	$0.521347\pi$
$128$	−13.1674	+	2.79882i	−1.16385	+	0.247383i
$129$	−6.72605	+	2.83652i	−0.592195	+	0.249742i
$130$	0.150695	+	1.43377i	0.0132168	+	0.125750i
$131$	3.44555	−	5.96786i	0.301039	−	0.521414i	−0.675333	−	0.737513i	$-0.736000\pi$
$131$	3.44555	−	5.96786i	0.301039	−	0.521414i	0.976372	+	0.216099i	$0.0693333\pi$
$132$	−1.27064	+	1.84895i	−0.110595	+	0.160931i
$133$	−0.905543	−	1.56845i	−0.0785205	−	0.136002i
$134$	10.1212	−	7.35345i	0.874335	−	0.635242i
$135$	−0.139475	−	3.07312i	−0.0120041	−	0.264492i
$136$	−3.53112	+	10.8677i	−0.302791	+	0.931896i
$137$	−0.966528	+	9.19590i	−0.0825760	+	0.785658i	0.872363	+	0.488858i	$0.162586\pi$
$137$	−0.966528	+	9.19590i	−0.0825760	+	0.785658i	−0.954939	+	0.296801i	$0.904080\pi$
$138$	5.75573	+	10.4410i	0.489960	+	0.888800i
$139$	14.4608	+	16.0603i	1.22655	+	1.36222i	0.910518	+	0.413469i	$0.135683\pi$
$139$	14.4608	+	16.0603i	1.22655	+	1.36222i	0.316029	+	0.948749i	$0.397650\pi$
$140$	−0.163275	−	0.0347052i	−0.0137993	−	0.00293313i
$141$	−0.257882	−	0.298062i	−0.0217176	−	0.0251014i
$142$	9.51601	+	16.4822i	0.798566	+	1.38316i
$143$	2.34184	+	4.66920i	0.195835	+	0.390458i
$144$	−4.81007	+	13.0259i	−0.400839	+	1.08549i
$145$	−3.34251	+	2.42847i	−0.277580	+	0.201674i
$146$	16.0185	−	17.7904i	1.32570	−	1.47234i
$147$	−3.25581	−	10.7389i	−0.268534	−	0.885729i
$148$	1.03168	−	0.459335i	0.0848038	−	0.0377571i
$149$	−1.04732	+	0.466296i	−0.0857996	+	0.0382005i	−0.449188	−	0.893437i	$-0.648287\pi$
$149$	−1.04732	+	0.466296i	−0.0857996	+	0.0382005i	0.363388	+	0.931638i	$0.381620\pi$
$150$	−3.61259	−	11.9157i	−0.294967	−	0.972913i
$151$	0.589263	−	0.654443i	0.0479536	−	0.0532578i	−0.718691	−	0.695330i	$-0.755258\pi$
$151$	0.589263	−	0.654443i	0.0479536	−	0.0532578i	0.766644	+	0.642072i	$0.221925\pi$
$152$	5.05031	−	3.66926i	0.409634	−	0.297616i
$153$	8.80566	+	10.5943i	0.711896	+	0.856496i
$154$	−3.66015	+	0.555908i	−0.294944	+	0.0447963i
$155$	2.70211	+	4.68018i	0.217038	+	0.375921i
$156$	−0.697057	−	0.805664i	−0.0558092	−	0.0645048i
$157$	9.57236	+	2.03467i	0.763958	+	0.162384i	0.573382	−	0.819288i	$-0.305631\pi$
$157$	9.57236	+	2.03467i	0.763958	+	0.162384i	0.190576	+	0.981672i	$0.438965\pi$
$158$	−15.1249	−	16.7979i	−1.20327	−	1.33637i
$159$	4.76920	+	8.65145i	0.378222	+	0.686105i
$160$	0.134876	−	1.28326i	0.0106629	−	0.101450i
$161$	−0.993219	+	3.05681i	−0.0782766	+	0.240911i
$162$	8.46427	+	11.0449i	0.665016	+	0.867769i
$163$	−3.74555	+	2.72130i	−0.293374	+	0.213149i	−0.724730	−	0.689033i	$-0.758035\pi$
$163$	−3.74555	+	2.72130i	−0.293374	+	0.213149i	0.431355	+	0.902182i	$0.358035\pi$
$164$	0.225364	+	0.390342i	0.0175980	+	0.0304806i
$165$	2.07049	+	2.69808i	0.161187	+	0.210045i
$166$	5.37515	−	9.31002i	0.417192	−	0.722598i
$167$	1.77566	+	16.8943i	0.137405	+	1.30732i	0.818236	+	0.574882i	$0.194952\pi$
$167$	1.77566	+	16.8943i	0.137405	+	1.30732i	−0.680831	+	0.732440i	$0.738381\pi$
$168$	−2.86716	+	1.20914i	−0.221206	+	0.0932874i
$169$	10.2896	−	2.18712i	0.791509	−	0.168240i
$170$	−3.40058	−	2.47066i	−0.260812	−	0.189491i
$171$	−0.489905	−	7.50984i	−0.0374640	−	0.574292i
$172$	−0.508616	+	1.56536i	−0.0387816	+	0.119357i
$173$	−0.395493	+	0.439240i	−0.0300688	+	0.0333948i	−0.757992	−	0.652264i	$-0.773819\pi$
$173$	−0.395493	+	0.439240i	−0.0300688	+	0.0333948i	0.727923	+	0.685659i	$0.240486\pi$
$174$	6.12568	−	17.6562i	0.464386	−	1.33851i
$175$	1.67835	−	2.90699i	0.126872	−	0.219748i
$176$	−3.87893	−	14.8530i	−0.292385	−	1.11959i
$177$	−10.1377	+	7.06327i	−0.761996	+	0.530908i
$178$	17.6280	+	7.84848i	1.32127	+	0.588268i
$179$	−2.97921	−	9.16907i	−0.222677	−	0.685328i	−0.998519	−	0.0544017i	$-0.982675\pi$
$179$	−2.97921	−	9.16907i	−0.222677	−	0.685328i	0.775842	−	0.630927i	$-0.217325\pi$
$180$	−0.544590	−	0.429591i	−0.0405913	−	0.0320198i
$181$	3.85243	+	2.79896i	0.286349	+	0.208045i	0.721682	−	0.692225i	$-0.243369\pi$
$181$	3.85243	+	2.79896i	0.286349	+	0.208045i	−0.435333	+	0.900270i	$0.643369\pi$
$182$	0.183764	−	1.74840i	0.0136215	−	0.129600i
$183$	−7.68979	−	1.79425i	−0.568446	−	0.132635i
$184$	−10.8365	−	2.30336i	−0.798875	−	0.169806i
$185$	−0.178950	−	1.70260i	−0.0131567	−	0.125178i
$186$	−22.1308	−	10.3827i	−1.62271	−	0.761300i
$187$	−14.6857	−	4.03514i	−1.07392	−	0.295079i
$188$	−0.0888691			−0.00648144
$189$	−0.612785	+	3.70098i	−0.0445735	+	0.269206i
$190$	0.709589	+	2.18389i	0.0514790	+	0.158436i
$191$	5.08444	−	1.08073i	0.367897	−	0.0781989i	−0.0202537	−	0.999795i	$-0.506447\pi$
$191$	5.08444	−	1.08073i	0.367897	−	0.0781989i	0.388151	+	0.921596i	$0.373114\pi$
$192$	−4.92284	−	8.93016i	−0.355275	−	0.644479i
$193$	2.98551	−	1.32923i	0.214902	−	0.0956804i	−0.296463	−	0.955044i	$-0.595807\pi$
$193$	2.98551	−	1.32923i	0.214902	−	0.0956804i	0.511364	+	0.859364i	$0.329140\pi$
$194$	14.6706	+	16.2934i	1.05329	+	1.16980i
$195$	−1.48810	+	0.627563i	−0.106565	+	0.0449407i
$196$	−2.31146	−	1.02913i	−0.165105	−	0.0735093i
$197$	−22.4626			−1.60039			−0.800197	−	0.599737i	$-0.795272\pi$
$197$	−22.4626			−1.60039			−0.800197	+	0.599737i	$0.795272\pi$
$198$	−14.6612	−	4.65967i	−1.04193	−	0.331148i
$199$	−20.8291			−1.47654			−0.738269	−	0.674507i	$-0.764356\pi$
$199$	−20.8291			−1.47654			−0.738269	+	0.674507i	$0.764356\pi$
$200$	10.5698	+	4.70596i	0.747394	+	0.332761i
$201$	11.1730	+	8.46040i	0.788079	+	0.596751i
$202$	−14.8652	−	16.5095i	−1.04591	−	1.16160i
$203$	4.60264	−	2.04923i	0.323042	−	0.143828i
$204$	3.10557	+	0.0614624i	0.217433	+	0.00430323i
$205$	0.668344	−	0.142061i	0.0466792	−	0.00992197i
$206$	−2.11603	−	6.51246i	−0.147431	−	0.453745i
$207$	−9.32262	+	9.56406i	−0.647967	+	0.664748i
$208$	7.28981			0.505457
$209$	5.19483	+	6.49904i	0.359334	+	0.449548i
$210$	−0.0970972	−	1.14049i	−0.00670034	−	0.0787015i
$211$	−0.354563	−	3.37344i	−0.0244091	−	0.232237i	−0.999924	−	0.0123051i	$-0.996083\pi$
$211$	−0.354563	−	3.37344i	−0.0244091	−	0.232237i	0.975515	−	0.219932i	$-0.0705836\pi$
$212$	2.17880	+	0.463117i	0.149640	+	0.0318070i
$213$	−14.5769	+	15.5588i	−0.998794	+	1.06607i
$214$	2.54454	−	24.2096i	0.173941	−	1.65494i
$215$	2.01858	+	1.46659i	0.137666	+	0.100020i
$216$	−12.9076	−	0.767165i	−0.878249	−	0.0521989i
$217$	−2.03646	−	6.26759i	−0.138244	−	0.425472i
$218$	−19.3466	−	8.61366i	−1.31032	−	0.583390i
$219$	24.2787	+	11.3905i	1.64061	+	0.769696i
$220$	0.765519	+	0.0449957i	0.0516113	+	0.00303361i
$221$	3.61612	−	6.26330i	0.243247	−	0.421315i
$222$	5.06681	+	5.85626i	0.340062	+	0.393047i
$223$	−7.37810	+	8.19420i	−0.494074	+	0.548725i	−0.937681	−	0.347497i	$-0.887032\pi$
$223$	−7.37810	+	8.19420i	−0.494074	+	0.548725i	0.443607	+	0.896221i	$0.353698\pi$
$224$	−0.486232	+	1.49647i	−0.0324877	+	0.0999870i
$225$	11.6001	−	7.74581i	0.773342	−	0.516387i
$226$	−10.0445	−	7.29775i	−0.668150	−	0.485439i
$227$	5.83650	−	1.24059i	0.387382	−	0.0823406i	−0.0101037	−	0.999949i	$-0.503216\pi$
$227$	5.83650	−	1.24059i	0.387382	−	0.0823406i	0.397486	+	0.917608i	$0.369883\pi$
$228$	−1.35281	−	1.02438i	−0.0895923	−	0.0678412i
$229$	−2.58715	−	24.6151i	−0.170964	−	1.62661i	−0.657852	−	0.753147i	$-0.728535\pi$
$229$	−2.58715	−	24.6151i	−0.170964	−	1.62661i	0.486889	−	0.873464i	$-0.338132\pi$
$230$	2.03760	−	3.52922i	0.134355	−	0.232710i
$231$	−1.78561	−	3.74321i	−0.117484	−	0.246285i
$232$	8.68297	+	15.0393i	0.570065	+	0.987381i
$233$	−3.38850	+	2.46189i	−0.221988	+	0.161284i	−0.693221	−	0.720725i	$-0.743809\pi$
$233$	−3.38850	+	2.46189i	−0.221988	+	0.161284i	0.471233	+	0.882009i	$0.343809\pi$
$234$	3.90013	−	6.17712i	0.254959	−	0.403811i
$235$	−0.0416308	+	0.128126i	−0.00271569	+	0.00835805i
$236$	−0.291208	+	2.77066i	−0.0189560	+	0.180355i
$237$	13.0923	−	21.6745i	0.850439	−	1.40791i
$238$	3.42980	+	3.80917i	0.222321	+	0.246912i
$239$	7.21173	+	1.53290i	0.466488	+	0.0991551i	0.435158	−	0.900354i	$-0.356692\pi$
$239$	7.21173	+	1.53290i	0.466488	+	0.0991551i	0.0313298	+	0.999509i	$0.490026\pi$
$240$	4.66116	−	0.894747i	0.300876	−	0.0577556i
$241$	4.41462	+	7.64634i	0.284371	+	0.492544i	0.972456	−	0.233085i	$-0.0748821\pi$
$241$	4.41462	+	7.64634i	0.284371	+	0.492544i	−0.688086	+	0.725629i	$0.741549\pi$
$242$	16.2405	−	5.04975i	1.04398	−	0.324610i
$243$	−9.08965	+	12.6641i	−0.583101	+	0.812399i
$244$	−1.44041	+	1.04652i	−0.0922129	+	0.0669966i
$245$	−2.56655	+	2.85044i	−0.163971	+	0.182108i
$246$	−2.11314	+	2.25548i	−0.134729	+	0.143804i
$247$	−3.60938	+	1.60700i	−0.229659	+	0.102251i
$248$	20.7513	−	9.23908i	1.31771	−	0.586682i
$249$	11.7279	+	2.73647i	0.743228	+	0.173417i
$250$	−5.91029	+	6.56404i	−0.373799	+	0.415146i
$251$	−16.6439	+	12.0925i	−1.05056	+	0.763274i	−0.972318	−	0.233661i	$-0.924930\pi$
$251$	−16.6439	+	12.0925i	−1.05056	+	0.763274i	−0.0782385	+	0.996935i	$0.524930\pi$
$252$	0.540668	+	0.650489i	0.0340589	+	0.0409770i
$253$	2.40242	−	14.5689i	0.151039	−	0.915936i
$254$	9.27397	+	16.0630i	0.581901	+	1.00788i
$255$	1.54342	−	4.44864i	0.0966527	−	0.278585i
$256$	−8.84127	−	1.87927i	−0.552579	−	0.117454i
$257$	−2.26326	−	2.51360i	−0.141178	−	0.156794i	0.668409	−	0.743794i	$-0.266976\pi$
$257$	−2.26326	−	2.51360i	−0.141178	−	0.156794i	−0.809587	+	0.587000i	$0.800309\pi$
$258$	−11.2841	−	0.223324i	−0.702518	−	0.0139036i
$259$	−0.218220	+	2.07623i	−0.0135595	+	0.129010i
$260$	−0.112528	+	0.346326i	−0.00697871	+	0.0214783i
$261$	20.9195	+	0.828361i	1.29488	+	0.0512742i
$262$	8.61973	−	6.26260i	0.532528	−	0.386905i
$263$	7.14112	+	12.3688i	0.440341	+	0.762692i	0.997715	−	0.0675692i	$-0.0215244\pi$
$263$	7.14112	+	12.3688i	0.440341	+	0.762692i	−0.557374	+	0.830262i	$0.688191\pi$
$264$	12.1882	−	7.46964i	0.750133	−	0.459724i
$265$	1.68836	−	2.92432i	0.103715	−	0.179639i
$266$	−0.292699	−	2.78485i	−0.0179465	−	0.170750i
$267$	−2.68448	+	21.4491i	−0.164288	+	1.31267i
$268$	3.09095	−	0.657003i	0.188810	−	0.0401328i
$269$	−5.43693	−	3.95016i	−0.331495	−	0.240845i	0.409570	−	0.912279i	$-0.365679\pi$
$269$	−5.43693	−	3.95016i	−0.331495	−	0.240845i	−0.741065	+	0.671433i	$0.765679\pi$
$270$	1.73559	−	4.42840i	0.105625	−	0.269504i
$271$	−1.23000	+	3.78554i	−0.0747170	+	0.229955i	−0.981439	−	0.191773i	$-0.938576\pi$
$271$	−1.23000	+	3.78554i	−0.0747170	+	0.229955i	0.906722	+	0.421728i	$0.138576\pi$
$272$	−14.2219	+	15.7951i	−0.862331	+	0.957716i
$273$	1.93411	−	0.371268i	0.117058	−	0.0224702i
$274$	−7.14821	+	12.3811i	−0.431839	+	0.747968i
$275$	−5.61758	+	14.3610i	−0.338753	+	0.866002i
$276$	0.255461	+	3.00062i	0.0153769	+	0.180616i
$277$	−11.9967	−	5.34127i	−0.720811	−	0.320926i	0.0133410	−	0.999911i	$-0.495753\pi$
$277$	−11.9967	−	5.34127i	−0.720811	−	0.320926i	−0.734152	+	0.678985i	$0.762420\pi$
$278$	10.3255	+	31.7786i	0.619282	+	1.90595i
$279$	3.93783	−	27.1001i	0.235751	−	1.62244i
$280$	0.860476	+	0.625172i	0.0514233	+	0.0373612i
$281$	0.310227	−	2.95161i	0.0185066	−	0.176078i	−0.981364	−	0.192157i	$-0.938452\pi$
$281$	0.310227	−	2.95161i	0.0185066	−	0.176078i	0.999871	+	0.0160790i	$0.00511831\pi$
$282$	−0.176807	−	0.583178i	−0.0105287	−	0.0347277i
$283$	−7.91593	−	1.68258i	−0.470553	−	0.100019i	−0.0334689	−	0.999440i	$-0.510655\pi$
$283$	−7.91593	−	1.68258i	−0.470553	−	0.100019i	−0.437084	+	0.899421i	$0.643989\pi$
$284$	0.502499	+	4.78096i	0.0298178	+	0.283697i
$285$	−2.11062	+	1.47054i	−0.125022	+	0.0871072i
$286$	0.371456	+	8.06780i	0.0219646	+	0.477059i
$287$	−0.833217			−0.0491833
$288$	−4.56391	+	4.68210i	−0.268931	+	0.275896i
$289$	1.26279	+	3.88648i	0.0742820	+	0.228616i
$290$	−6.24837	+	1.32813i	−0.366917	+	0.0779906i
$291$	−12.6991	+	21.0235i	−0.744436	+	1.23242i
$292$	5.52405	−	2.45947i	0.323271	−	0.143929i
$293$	−10.5158	−	11.6789i	−0.614338	−	0.682292i	0.353046	−	0.935606i	$-0.385146\pi$
$293$	−10.5158	−	11.6789i	−0.614338	−	0.682292i	−0.967384	+	0.253314i	$0.918479\pi$
$294$	2.15465	−	17.2158i	0.125662	−	1.00405i
$295$	3.85817	+	1.71777i	0.224631	+	0.100012i
$296$	−7.19584			−0.418249
$297$	0.230168	−	17.2322i	0.0133557	−	0.999911i
$298$	−1.77254			−0.102681
$299$	6.40554	+	2.85193i	0.370442	+	0.164931i
$300$	0.390576	−	3.12072i	0.0225499	−	0.180175i
$301$	−2.03593	−	2.26113i	−0.117349	−	0.130329i
$302$	1.24387	−	0.553809i	0.0715769	−	0.0318681i
$303$	12.8676	−	21.3024i	0.739222	−	1.22379i
$304$	11.3575	−	2.41410i	0.651395	−	0.138458i
$305$	0.834052	+	2.56695i	0.0477577	+	0.146983i
$306$	5.77528	+	20.5017i	0.330151	+	1.17200i
$307$	−3.51315			−0.200506			−0.100253	−	0.994962i	$-0.531965\pi$
$307$	−3.51315			−0.200506			−0.100253	+	0.994962i	$0.531965\pi$
$308$	−0.901701	−	0.247758i	−0.0513792	−	0.0141173i
$309$	6.29397	−	4.38522i	0.358051	−	0.249466i
$310$	0.873403	+	8.30987i	0.0496060	+	0.471969i
$311$	−25.7589	−	5.47523i	−1.46066	−	0.310472i	−0.592020	−	0.805923i	$-0.701669\pi$
$311$	−25.7589	−	5.47523i	−1.46066	−	0.310472i	−0.868636	+	0.495451i	$0.835003\pi$
$312$	1.96954	+	6.49628i	0.111503	+	0.367780i
$313$	0.257259	−	2.44766i	0.0145412	−	0.138350i	−0.984843	−	0.173450i	$-0.944508\pi$
$313$	0.257259	−	2.44766i	0.0145412	−	0.138350i	0.999384	+	0.0351004i	$0.0111751\pi$
$314$	12.2411	+	8.89367i	0.690805	+	0.501899i
$315$	1.19112	−	0.474783i	0.0671117	−	0.0267510i
$316$	−1.76433	−	5.43005i	−0.0992513	−	0.305464i
$317$	−24.2155	−	10.7814i	−1.36008	−	0.605545i	−0.408444	−	0.912783i	$-0.633929\pi$
$317$	−24.2155	−	10.7814i	−1.36008	−	0.605545i	−0.951633	+	0.307238i	$0.900595\pi$
$318$	1.29569	+	15.2191i	0.0726589	+	0.853444i
$319$	−19.4911	+	12.4824i	−1.09129	+	0.698880i
$320$	−1.74274	+	3.01852i	−0.0974224	+	0.168741i
$321$	26.7812	−	5.14086i	1.49478	−	0.286935i
$322$	−3.32523	+	3.69304i	−0.185308	+	0.205805i
$323$	3.55972	−	10.9557i	0.198068	−	0.609591i
$324$	0.818425	+	3.41823i	0.0454681	+	0.189902i
$325$	−5.92427	−	4.30423i	−0.328619	−	0.238756i
$326$	−7.00182	+	1.48828i	−0.387795	+	0.0824283i
$327$	2.94620	−	23.5403i	0.162925	−	1.30178i
$328$	−0.300202	−	2.85623i	−0.0165759	−	0.157709i
$329$	0.0821419	−	0.142274i	0.00452863	−	0.00784382i
$330$	1.22775	+	5.11302i	0.0675853	+	0.281462i
$331$	−4.05198	−	7.01824i	−0.222717	−	0.385757i	0.732915	−	0.680320i	$-0.238159\pi$
$331$	−4.05198	−	7.01824i	−0.222717	−	0.385757i	−0.955632	+	0.294563i	$0.904826\pi$
$332$	2.19681	−	1.59608i	0.120566	−	0.0875962i
$333$	−4.63141	+	7.33534i	−0.253799	+	0.401974i
$334$	−8.11627	+	24.9793i	−0.444103	+	1.36681i
$335$	0.500731	−	4.76414i	0.0273579	−	0.260293i
$336$	−5.78667	−	0.114524i	−0.315689	−	0.00624781i
$337$	16.5413	+	18.3710i	0.901064	+	1.00073i	0.999984	+	0.00563738i	$0.00179444\pi$
$337$	16.5413	+	18.3710i	0.901064	+	1.00073i	−0.0989203	+	0.995095i	$0.531539\pi$
$338$	15.9091	+	3.38159i	0.865343	+	0.183934i
$339$	4.55889	−	13.1402i	0.247605	−	0.713679i
$340$	−0.530861	−	0.919478i	−0.0287900	−	0.0498657i
$341$	13.5730	+	27.0619i	0.735017	+	1.46549i
$342$	4.03074	−	10.9155i	0.217957	−	0.590241i
$343$	7.87256	−	5.71975i	0.425078	−	0.308837i
$344$	7.01752	−	7.79374i	0.378359	−	0.420210i
$345$	4.44579	+	1.03733i	0.239354	+	0.0558482i
$346$	−0.834846	+	0.371697i	−0.0448816	+	0.0199826i
$347$	−1.89071	+	0.841800i	−0.101499	+	0.0451902i	−0.456858	−	0.889540i	$-0.651025\pi$
$347$	−1.89071	+	0.841800i	−0.101499	+	0.0451902i	0.355359	+	0.934730i	$0.384359\pi$
$348$	3.22747	−	3.44487i	0.173010	−	0.184665i
$349$	−3.48902	+	3.87495i	−0.186763	+	0.207422i	−0.829254	−	0.558872i	$-0.811234\pi$
$349$	−3.48902	+	3.87495i	−0.186763	+	0.207422i	0.642491	+	0.766293i	$0.277901\pi$
$350$	4.19874	−	3.05056i	0.224432	−	0.163059i
$351$	7.88987	+	2.17344i	0.421130	+	0.116009i
$352$	1.17611	−	7.13221i	0.0626868	−	0.380148i
$353$	−10.8363	−	18.7689i	−0.576756	−	0.998970i	−0.995848	−	0.0910266i	$-0.970985\pi$
$353$	−10.8363	−	18.7689i	−0.576756	−	0.998970i	0.419093	−	0.907943i	$-0.362348\pi$
$354$	−18.7610	+	3.60133i	−0.997138	+	0.191409i
$355$	7.12831	+	1.51517i	0.378331	+	0.0804168i
$356$	3.26136	+	3.62211i	0.172852	+	0.191971i
$357$	−2.96888	+	4.91501i	−0.157130	+	0.260130i
$358$	1.55812	−	14.8245i	0.0823493	−	0.783501i
$359$	2.70478	−	8.32446i	0.142753	−	0.439348i	−0.853962	−	0.520335i	$-0.825807\pi$
$359$	2.70478	−	8.32446i	0.142753	−	0.439348i	0.996715	+	0.0809868i	$0.0258072\pi$
$360$	2.05669	+	3.91203i	0.108397	+	0.206182i
$361$	10.2801	−	7.46894i	0.541059	−	0.393102i
$362$	3.68125	+	6.37611i	0.193482	+	0.335121i
$363$	10.6922	+	15.7695i	0.561195	+	0.827684i
$364$	0.222030	−	0.384567i	0.0116375	−	0.0201568i
$365$	−0.958173	−	9.11641i	−0.0501531	−	0.477175i
$366$	−9.73322	−	7.37020i	−0.508763	−	0.385247i
$367$	6.61837	−	1.40678i	0.345476	−	0.0734332i	−0.0319060	−	0.999491i	$-0.510158\pi$
$367$	6.61837	−	1.40678i	0.345476	−	0.0734332i	0.377382	+	0.926058i	$0.376824\pi$
$368$	−16.6709	−	12.1121i	−0.869029	−	0.631387i
$369$	−3.10482	−	1.53232i	−0.161631	−	0.0797692i
$370$	0.817952	−	2.51740i	0.0425233	−	0.130873i
$371$	−2.75529	+	3.06006i	−0.143047	+	0.158870i
$372$	−4.04003	−	4.66950i	−0.209466	−	0.242102i
$373$	10.9467	−	18.9602i	0.566797	−	0.981722i	−0.430083	−	0.902790i	$-0.641516\pi$
$373$	10.9467	−	18.9602i	0.566797	−	0.981722i	0.996880	−	0.0789323i	$-0.0251511\pi$
$374$	−18.2054	−	14.9349i	−0.941380	−	0.772265i
$375$	−8.95802	−	4.20269i	−0.462590	−	0.217026i
$376$	0.517304	+	0.230319i	0.0266779	+	0.0118778i
$377$	−3.39643	−	10.4531i	−0.174925	−	0.538364i
$378$	−3.19297	+	4.84214i	−0.164229	+	0.249053i
$379$	27.3639	+	19.8810i	1.40559	+	1.02122i	0.993946	+	0.109873i	$0.0350445\pi$
$379$	27.3639	+	19.8810i	1.40559	+	1.02122i	0.411642	+	0.911346i	$0.364955\pi$
$380$	−0.0606282	+	0.576839i	−0.00311016	+	0.0295912i
$381$	−14.2062	+	15.1631i	−0.727804	+	0.776829i
$382$	7.86123	+	1.67096i	0.402216	+	0.0854936i
$383$	1.92059	+	18.2732i	0.0981378	+	0.933719i	0.927201	+	0.374564i	$0.122208\pi$
$383$	1.92059	+	18.2732i	0.0981378	+	0.933719i	−0.829063	+	0.559155i	$0.811126\pi$
$384$	−1.97789	−	23.2321i	−0.100934	−	1.18556i
$385$	−0.779606	+	1.18396i	−0.0397324	+	0.0603402i
$386$	5.05284			0.257183
$387$	−3.42821	−	12.1698i	−0.174265	−	0.618626i
$388$	1.71134	+	5.26696i	0.0868801	+	0.267390i
$389$	30.1333	−	6.40504i	1.52782	−	0.324748i	0.634057	−	0.773286i	$-0.281388\pi$
$389$	30.1333	−	6.40504i	1.52782	−	0.324748i	0.893764	+	0.448538i	$0.148055\pi$
$390$	−2.49654	−	0.0494092i	−0.126417	−	0.00250193i
$391$	−18.6761	+	8.31516i	−0.944493	+	0.420516i
$392$	10.7878	+	11.9811i	0.544867	+	0.605136i
$393$	9.51549	+	7.20534i	0.479993	+	0.363461i
$394$	−31.7277	−	14.1261i	−1.59842	−	0.711661i
$395$	−8.65524			−0.435493
$396$	−2.90438	−	2.58148i	−0.145951	−	0.129724i
$397$	−8.29578			−0.416353			−0.208177	−	0.978091i	$-0.566753\pi$
$397$	−8.29578			−0.416353			−0.208177	+	0.978091i	$0.566753\pi$
$398$	−29.4204	−	13.0988i	−1.47471	−	0.656584i
$399$	2.89038	−	1.21894i	0.144700	−	0.0610231i
$400$	14.4000	+	15.9928i	0.720000	+	0.799641i
$401$	−3.59354	+	1.59995i	−0.179453	+	0.0798976i	−0.494497	−	0.869180i	$-0.664648\pi$
$401$	−3.59354	+	1.59995i	−0.179453	+	0.0798976i	0.315044	+	0.949077i	$0.397981\pi$
$402$	10.4609	+	18.9764i	0.521743	+	0.946455i
$403$	−14.0625	+	2.98907i	−0.700503	+	0.148896i
$404$	−1.73404	−	5.33682i	−0.0862716	−	0.265517i
$405$	5.31160	+	0.421314i	0.263936	+	0.0209353i
$406$	7.78977			0.386600
$407$	−0.441104	−	9.58052i	−0.0218647	−	0.474889i
$408$	−17.9181	−	8.40636i	−0.887080	−	0.416177i
$409$	0.261766	+	2.49054i	0.0129435	+	0.123149i	0.999086	−	0.0427534i	$-0.0136130\pi$
$409$	0.261766	+	2.49054i	0.0129435	+	0.123149i	−0.986142	+	0.165902i	$0.946946\pi$
$410$	1.03335	+	0.219646i	0.0510336	+	0.0108475i
$411$	−15.5966	−	3.63913i	−0.769322	−	0.179505i
$412$	0.180796	−	1.72016i	0.00890719	−	0.0847462i
$413$	−4.16650	−	3.02714i	−0.205020	−	0.148956i
$414$	−19.1824	+	7.64619i	−0.942766	+	0.375790i
$415$	−1.27204	−	3.91493i	−0.0624419	−	0.192176i
$416$	3.13585	+	1.39617i	0.153747	+	0.0684528i
$417$	−30.7124	+	21.3984i	−1.50399	+	1.04788i
$418$	3.25047	+	12.4466i	0.158986	+	0.608781i
$419$	−5.36970	+	9.30060i	−0.262327	+	0.454364i	−0.966860	−	0.255307i	$-0.917823\pi$
$419$	−5.36970	+	9.30060i	−0.262327	+	0.454364i	0.704533	+	0.709672i	$0.251157\pi$
$420$	0.0947660	−	0.273147i	0.00462411	−	0.0133282i
$421$	14.8463	−	16.4885i	0.723564	−	0.803600i	−0.263375	−	0.964694i	$-0.584836\pi$
$421$	14.8463	−	16.4885i	0.723564	−	0.803600i	0.986939	+	0.161094i	$0.0515022\pi$
$422$	1.62065	−	4.98785i	0.0788920	−	0.242805i
$423$	0.567733	−	0.379095i	0.0276041	−	0.0184322i
$424$	−11.4825	−	8.34249i	−0.557637	−	0.405147i
$425$	20.8839	−	4.43902i	1.01302	−	0.215324i
$426$	−30.3739	+	12.8093i	−1.47162	+	0.620614i
$427$	−0.344039	−	3.27331i	−0.0166492	−	0.158407i
$428$	3.07440	−	5.32501i	0.148606	−	0.257394i
$429$	−8.52841	+	3.02046i	−0.411755	+	0.145829i
$430$	1.92889	+	3.34093i	0.0930192	+	0.161114i
$431$	14.9330	−	10.8495i	0.719297	−	0.522600i	−0.166862	−	0.985980i	$-0.553364\pi$
$431$	14.9330	−	10.8495i	0.719297	−	0.522600i	0.886160	+	0.463380i	$0.153364\pi$
$432$	−21.3523	−	11.0686i	−1.02731	−	0.532540i
$433$	4.67130	−	14.3768i	0.224488	−	0.690904i	−0.773855	−	0.633363i	$-0.781674\pi$
$433$	4.67130	−	14.3768i	0.224488	−	0.690904i	0.998343	−	0.0575408i	$-0.0183259\pi$
$434$	1.06507	−	10.1334i	0.0511249	−	0.486420i
$435$	−3.45471	−	6.26694i	−0.165641	−	0.300477i
$436$	−3.57932	−	3.97524i	−0.171418	−	0.190379i
$437$	10.9242	+	2.32202i	0.522577	+	0.111077i
$438$	27.1298	+	31.3568i	1.29631	+	1.49829i
$439$	−11.9777	−	20.7459i	−0.571663	−	0.990150i	−0.996395	−	0.0848306i	$-0.972965\pi$
$439$	−11.9777	−	20.7459i	−0.571663	−	0.990150i	0.424732	−	0.905319i	$-0.360368\pi$
$440$	−4.33945	−	2.24589i	−0.206875	−	0.107068i
$441$	19.1566	−	3.28566i	0.912221	−	0.156460i
$442$	9.04645	−	6.57263i	0.430296	−	0.312628i
$443$	17.0613	−	18.9485i	0.810607	−	0.900270i	−0.186003	−	0.982549i	$-0.559553\pi$
$443$	17.0613	−	18.9485i	0.810607	−	0.900270i	0.996609	+	0.0822794i	$0.0262200\pi$
$444$	0.567520	+	1.87190i	0.0269333	+	0.0888363i
$445$	6.74993	−	3.00526i	0.319978	−	0.142463i
$446$	−15.5744	+	6.93417i	−0.737469	+	0.328342i
$447$	−0.576121	−	1.90027i	−0.0272496	−	0.0898795i
$448$	2.84405	−	3.15864i	0.134369	−	0.149231i
$449$	18.1886	−	13.2148i	0.858375	−	0.623646i	−0.0690672	−	0.997612i	$-0.522002\pi$
$449$	18.1886	−	13.2148i	0.858375	−	0.623646i	0.927442	+	0.373966i	$0.122002\pi$
$450$	21.2559	−	3.64571i	1.00201	−	0.171861i
$451$	3.78438	−	0.574776i	0.178200	−	0.0270651i
$452$	−1.56804	−	2.71592i	−0.0737542	−	0.127746i
$453$	0.998005	+	1.15350i	0.0468904	+	0.0541963i
$454$	9.02402	+	1.91812i	0.423518	+	0.0900216i
$455$	−0.450437	−	0.500261i	−0.0211168	−	0.0234526i
$456$	5.21984	+	9.46892i	0.244441	+	0.443423i
$457$	−2.26718	+	21.5708i	−0.106054	+	1.00904i	0.804023	+	0.594598i	$0.202689\pi$
$457$	−2.26718	+	21.5708i	−0.106054	+	1.00904i	−0.910077	+	0.414439i	$0.863978\pi$
$458$	11.8254	−	36.3950i	0.552566	−	1.70062i
$459$	−20.1019	+	12.8550i	−0.938274	+	0.600019i
$460$	0.832763	−	0.605037i	0.0388278	−	0.0282100i
$461$	6.05182	+	10.4821i	0.281861	+	0.488198i	0.971843	−	0.235629i	$-0.0757149\pi$
$461$	6.05182	+	10.4821i	0.281861	+	0.488198i	−0.689982	+	0.723827i	$0.742382\pi$
$462$	−0.168116	−	6.41007i	−0.00782146	−	0.298224i
$463$	−10.0154	+	17.3472i	−0.465455	+	0.806192i	−0.999222	−	0.0394398i	$-0.987443\pi$
$463$	−10.0154	+	17.3472i	−0.465455	+	0.806192i	0.533767	+	0.845632i	$0.320776\pi$
$464$	3.37637	+	32.1240i	0.156744	+	1.49132i
$465$	−8.62478	+	3.63726i	−0.399965	+	0.168674i
$466$	−6.33435	+	1.34641i	−0.293433	+	0.0623711i
$467$	−4.90871	−	3.56639i	−0.227148	−	0.165033i	0.468390	−	0.883522i	$-0.344834\pi$
$467$	−4.90871	−	3.56639i	−0.227148	−	0.165033i	−0.695538	+	0.718489i	$0.744834\pi$
$468$	1.53458	−	1.02470i	0.0709362	−	0.0473666i
$469$	−1.80516	+	5.55570i	−0.0833543	+	0.256538i
$470$	−0.139377	+	0.154794i	−0.00642898	+	0.00714011i
$471$	−5.55586	+	16.0138i	−0.256001	+	0.737878i
$472$	8.87574	−	15.3732i	0.408539	−	0.707610i
$473$	10.8067	+	8.86535i	0.496895	+	0.407629i
$474$	32.1230	−	22.3811i	1.47546	−	1.02800i
$475$	−10.6553	−	4.74407i	−0.488901	−	0.217673i
$476$	0.400088	+	1.23134i	0.0183380	+	0.0564385i
$477$	−15.8946	+	6.33565i	−0.727764	+	0.290089i
$478$	9.22233	+	6.70041i	0.421819	+	0.306470i
$479$	−3.79154	+	36.0741i	−0.173240	+	1.64827i	0.470046	+	0.882642i	$0.344237\pi$
$479$	−3.79154	+	36.0741i	−0.173240	+	1.64827i	−0.643286	+	0.765626i	$0.722429\pi$
$480$	2.17645	+	0.507828i	0.0993407	+	0.0231791i
$481$	4.45480	+	0.946896i	0.203121	+	0.0431747i
$482$	1.42694	+	13.5764i	0.0649953	+	0.618389i
$483$	−5.03993	−	2.36450i	−0.229325	−	0.107589i
$484$	4.26634	+	0.503273i	0.193924	+	0.0228760i
$485$	8.39529			0.381211
$486$	−20.8029	+	12.1713i	−0.943637	+	0.552103i
$487$	−2.68379	−	8.25986i	−0.121614	−	0.374290i	0.871655	−	0.490120i	$-0.163047\pi$
$487$	−2.68379	−	8.25986i	−0.121614	−	0.374290i	−0.993269	+	0.115830i	$0.963047\pi$
$488$	11.0968	−	2.35870i	0.502329	−	0.106773i
$489$	−3.87129	−	7.02262i	−0.175066	−	0.317574i
$490$	−5.41772	+	2.41213i	−0.244748	+	0.108969i
$491$	−22.2133	−	24.6704i	−1.00247	−	1.11336i	−0.993549	−	0.113400i	$-0.963826\pi$
$491$	−22.2133	−	24.6704i	−1.00247	−	1.11336i	−0.00892472	−	0.999960i	$-0.502841\pi$
$492$	−0.719333	+	0.303358i	−0.0324300	+	0.0136764i
$493$	29.2753	+	13.0342i	1.31849	+	0.587032i
$494$	−6.10872			−0.274844
$495$	−5.08240	+	2.97808i	−0.228437	+	0.133855i
$496$	42.2506			1.89711
$497$	−8.11848	−	3.61458i	−0.364163	−	0.162136i
$498$	14.8444	+	11.2405i	0.665195	+	0.503700i
$499$	13.9694	+	15.5146i	0.625355	+	0.694527i	0.969695	−	0.244318i	$-0.0785641\pi$
$499$	13.9694	+	15.5146i	0.625355	+	0.694527i	−0.344340	+	0.938845i	$0.611897\pi$
$500$	−2.03818	+	0.907458i	−0.0911504	+	0.0405828i
$501$	−29.4172	−	0.582198i	−1.31427	−	0.0260107i
$502$	−31.1136	+	6.61341i	−1.38867	+	0.295171i
$503$	7.20593	+	22.1776i	0.321297	+	0.988850i	0.973085	+	0.230448i	$0.0740193\pi$
$503$	7.20593	+	22.1776i	0.321297	+	0.988850i	−0.651788	+	0.758401i	$0.725981\pi$
$504$	−1.46137	−	5.18771i	−0.0650944	−	0.231079i
$505$	−8.50663			−0.378540
$506$	12.5553	−	19.0672i	0.558149	−	0.847641i
$507$	1.54561	+	18.1546i	0.0686431	+	0.806275i
$508$	0.489718	+	4.65935i	0.0217277	+	0.206725i
$509$	−6.33958	−	1.34752i	−0.280997	−	0.0597278i	0.0652572	−	0.997868i	$-0.479213\pi$
$509$	−6.33958	−	1.34752i	−0.280997	−	0.0597278i	−0.346254	+	0.938141i	$0.612547\pi$
$510$	4.97765	−	5.31294i	0.220414	−	0.235261i
$511$	−1.16844	+	11.1170i	−0.0516887	+	0.491785i
$512$	10.4751	+	7.61063i	0.462940	+	0.336346i
$513$	13.0121	+	0.773377i	0.574499	+	0.0341454i
$514$	−1.61605	−	4.97368i	−0.0712807	−	0.219379i
$515$	−2.39534	−	1.06647i	−0.105551	−	0.0469944i
$516$	−2.58089	−	1.21083i	−0.113617	−	0.0533040i
$517$	−0.274935	+	0.702856i	−0.0120916	+	0.0309116i
$518$	−1.61390	+	2.79537i	−0.0709109	+	0.122821i
$519$	−0.669827	−	0.774192i	−0.0294021	−	0.0339832i
$520$	1.55258	−	1.72432i	0.0680854	−	0.0756164i
$521$	−10.2625	+	31.5848i	−0.449610	+	1.38376i	0.427738	+	0.903903i	$0.359311\pi$
$521$	−10.2625	+	31.5848i	−0.449610	+	1.38376i	−0.877348	+	0.479855i	$0.840689\pi$
$522$	29.0271	+	14.3257i	1.27048	+	0.627017i
$523$	32.4728	+	23.5929i	1.41994	+	1.03164i	0.991782	+	0.127938i	$0.0408359\pi$
$523$	32.4728	+	23.5929i	1.41994	+	1.03164i	0.428154	+	0.903706i	$0.359164\pi$
$524$	2.63242	−	0.559539i	0.114998	−	0.0244436i
$525$	4.63507	+	3.50978i	0.202291	+	0.153179i
$526$	2.30823	+	21.9613i	0.100644	+	0.957560i
$527$	20.9585	−	36.3011i	0.912965	−	1.58130i
$528$	26.3614	−	3.47164i	1.14723	−	0.151084i
$529$	1.58985	+	2.75370i	0.0691240	+	0.119726i
$530$	4.22376	−	3.06874i	0.183468	−	0.133298i
$531$	−9.95864	−	18.9424i	−0.432168	−	0.822029i
$532$	0.218567	−	0.672680i	0.00947608	−	0.0291644i
$533$	−0.190001	+	1.80774i	−0.00822986	+	0.0783019i
$534$	−17.2805	+	28.6080i	−0.747799	+	1.23799i
$535$	−6.23710	−	6.92700i	−0.269653	−	0.299480i
$536$	−19.6951	−	4.18632i	−0.850698	−	0.180821i
$537$	16.3992	−	3.14795i	0.707677	−	0.135844i
$538$	−5.19534	−	8.99859i	−0.223987	−	0.387957i
$539$	−15.2903	+	15.0973i	−0.658599	+	0.650287i
$540$	0.855454	−	0.843551i	0.0368129	−	0.0363007i
$541$	−19.9410	+	14.4880i	−0.857332	+	0.622888i	−0.927158	−	0.374671i	$-0.877756\pi$
$541$	−19.9410	+	14.4880i	−0.857332	+	0.622888i	0.0698260	+	0.997559i	$0.477756\pi$
$542$	−4.11794	+	4.57344i	−0.176881	+	0.196446i
$543$	−5.63906	+	6.01891i	−0.241995	+	0.258296i
$544$	−9.14294	+	4.07070i	−0.392000	+	0.174530i
$545$	−7.40801	+	3.29826i	−0.317324	+	0.141282i
$546$	2.96534	+	0.691901i	0.126905	+	0.0296106i
$547$	17.2103	−	19.1139i	0.735858	−	0.817253i	−0.252787	−	0.967522i	$-0.581347\pi$
$547$	17.2103	−	19.1139i	0.735858	−	0.817253i	0.988645	+	0.150269i	$0.0480139\pi$
$548$	−2.92147	+	2.12257i	−0.124799	+	0.0906716i
$549$	4.73774	−	12.8301i	0.202202	−	0.547574i
$550$	−16.9659	+	16.7517i	−0.723427	+	0.714296i
$551$	−8.75329	−	15.1611i	−0.372902	−	0.645886i
$552$	6.28956	−	18.1286i	0.267701	−	0.771604i
$553$	10.3240	+	2.19442i	0.439019	+	0.0933164i
$554$	−13.5859	−	15.0887i	−0.577211	−	0.641058i
$555$	2.96465	+	0.0586735i	0.125842	+	0.00249055i
$556$	−0.882224	+	8.39380i	−0.0374146	+	0.355976i
$557$	3.60979	−	11.1098i	0.152952	−	0.470737i	−0.844996	−	0.534773i	$-0.820397\pi$
$557$	3.60979	−	11.1098i	0.152952	−	0.470737i	0.997948	+	0.0640357i	$0.0203972\pi$
$558$	22.6045	−	35.8016i	0.956925	−	1.51560i
$559$	−5.36998	+	3.90152i	−0.227126	+	0.165017i
$560$	0.989164	+	1.71328i	0.0417998	+	0.0723994i
$561$	10.0938	−	24.3715i	0.426162	−	1.02896i
$562$	2.29436	−	3.97396i	0.0967819	−	0.167631i
$563$	−0.848991	−	8.07761i	−0.0357807	−	0.340431i	−0.997738	−	0.0672292i	$-0.978584\pi$
$563$	−0.848991	−	8.07761i	−0.0357807	−	0.340431i	0.961957	−	0.273201i	$-0.0880825\pi$
$564$	0.0191155	−	0.152734i	0.000804910	−	0.00643127i
$565$	−4.65021	+	0.988432i	−0.195636	+	0.0415836i
$566$	−10.1229	−	7.35468i	−0.425495	−	0.309140i
$567$	−6.22885	−	1.84923i	−0.261587	−	0.0776604i
$568$	9.46559	−	29.1321i	0.397167	−	1.22236i
$569$	−12.0488	+	13.3815i	−0.505111	+	0.560983i	−0.940733	−	0.339147i	$-0.889862\pi$
$569$	−12.0488	+	13.3815i	−0.505111	+	0.560983i	0.435622	+	0.900129i	$0.356528\pi$
$570$	−3.90596	+	0.749780i	−0.163603	+	0.0314048i
$571$	1.30322	−	2.25725i	0.0545382	−	0.0944629i	−0.837467	−	0.546487i	$-0.815965\pi$
$571$	1.30322	−	2.25725i	0.0545382	−	0.0944629i	0.892006	+	0.452024i	$0.149298\pi$
$572$	−0.743151	+	1.89982i	−0.0310727	+	0.0794356i
$573$	0.763738	+	8.97079i	0.0319056	+	0.374760i
$574$	−1.17689	−	0.523986i	−0.0491225	−	0.0218707i
$575$	6.39652	+	19.6865i	0.266753	+	0.820982i
$576$	16.4066	−	6.53975i	0.683610	−	0.272489i
$577$	−28.4684	−	20.6835i	−1.18515	−	0.861064i	−0.192409	−	0.981315i	$-0.561630\pi$
$577$	−28.4684	−	20.6835i	−1.18515	−	0.861064i	−0.992744	+	0.120251i	$0.961630\pi$
$578$	−0.660439	+	6.28365i	−0.0274706	+	0.261366i
$579$	1.64230	+	5.41694i	0.0682517	+	0.225120i
$580$	−1.57827	−	0.335473i	−0.0655343	−	0.0139297i
$581$	0.524704	+	4.99223i	0.0217684	+	0.207112i
$582$	−31.1582	+	21.7089i	−1.29155	+	0.899864i
$583$	10.4033	−	15.7991i	0.430861	−	0.654333i
$584$	−38.5294			−1.59436
$585$	−0.758471	−	2.69250i	−0.0313589	−	0.111321i
$586$	−7.50863	−	23.1092i	−0.310179	−	0.954631i
$587$	−23.0377	+	4.89682i	−0.950869	+	0.202113i	−0.657134	−	0.753774i	$-0.728232\pi$
$587$	−23.0377	+	4.89682i	−0.950869	+	0.202113i	−0.293735	+	0.955887i	$0.594898\pi$
$588$	2.26590	−	3.75122i	0.0934441	−	0.154698i
$589$	−20.9194	+	9.31391i	−0.861968	+	0.383773i
$590$	4.36928	+	4.85258i	0.179880	+	0.199777i
$591$	4.83166	−	38.6052i	0.198748	−	1.58801i
$592$	−12.2272	−	5.44392i	−0.502536	−	0.223744i
$593$	13.1828			0.541354			0.270677	−	0.962670i	$-0.412752\pi$
$593$	13.1828			0.541354			0.270677	+	0.962670i	$0.412752\pi$
$594$	11.1619	−	24.1951i	0.457978	−	0.992736i
$595$	1.96270			0.0804630
$596$	−0.409018	−	0.182106i	−0.0167540	−	0.00745937i
$597$	4.48030	−	35.7978i	0.183366	−	1.46511i
$598$	7.25412	+	8.05651i	0.296643	+	0.329455i
$599$	31.2582	−	13.9171i	1.27718	−	0.568636i	0.347731	−	0.937594i	$-0.386952\pi$
$599$	31.2582	−	13.9171i	1.27718	−	0.568636i	0.929446	+	0.368958i	$0.120285\pi$
$600$	−10.3614	+	17.1534i	−0.423002	+	0.700284i
$601$	−28.3942	+	6.03537i	−1.15822	+	0.246188i	−0.746668	−	0.665197i	$-0.768347\pi$
$601$	−28.3942	+	6.03537i	−1.15822	+	0.246188i	−0.411555	+	0.911385i	$0.635014\pi$
$602$	−1.45372	−	4.47410i	−0.0592493	−	0.182351i
$603$	−16.9437	+	17.3825i	−0.690000	+	0.707870i
$604$	0.343924			0.0139941
$605$	2.72416	−	5.91521i	0.110753	−	0.240487i
$606$	31.5714	−	21.9968i	1.28250	−	0.893561i
$607$	0.329929	+	3.13906i	0.0133914	+	0.127411i	0.999175	−	0.0406085i	$-0.0129296\pi$
$607$	0.329929	+	3.13906i	0.0133914	+	0.127411i	−0.985784	+	0.168019i	$0.946263\pi$
$608$	5.34798	+	1.13675i	0.216889	+	0.0461012i
$609$	2.53187	+	8.35108i	0.102597	+	0.338403i
$610$	−0.436207	+	4.15024i	−0.0176615	+	0.168038i
$611$	−0.289945	−	0.210657i	−0.0117299	−	0.00852229i
$612$	−0.773633	+	5.32414i	−0.0312723	+	0.215216i
$613$	10.4884	+	32.2798i	0.423620	+	1.30377i	0.904309	+	0.426878i	$0.140387\pi$
$613$	10.4884	+	32.2798i	0.423620	+	1.30377i	−0.480689	+	0.876891i	$0.659613\pi$
$614$	−4.96221	−	2.20932i	−0.200258	−	0.0891608i
$615$	0.100393	+	1.17920i	0.00404822	+	0.0475500i
$616$	4.60667	+	3.77910i	0.185608	+	0.152264i
$617$	10.8039	−	18.7129i	0.434948	−	0.753351i	−0.562344	−	0.826904i	$-0.690100\pi$
$617$	10.8039	−	18.7129i	0.434948	−	0.753351i	0.997291	+	0.0735523i	$0.0234336\pi$
$618$	11.6478	−	2.23588i	0.468541	−	0.0899403i
$619$	13.7256	−	15.2438i	0.551679	−	0.612701i	−0.401223	−	0.915980i	$-0.631415\pi$
$619$	13.7256	−	15.2438i	0.551679	−	0.612701i	0.952902	+	0.303279i	$0.0980815\pi$
$620$	−0.652196	+	2.00725i	−0.0261928	+	0.0806132i
$621$	−14.4319	−	18.0795i	−0.579134	−	0.725504i
$622$	−32.9404	−	23.9326i	−1.32079	−	0.959611i
$623$	−8.81325	+	1.87331i	−0.353095	+	0.0750527i
$624$	−1.56802	+	12.5286i	−0.0627711	+	0.501545i
$625$	−2.07649	−	19.7565i	−0.0830597	−	0.790260i
$626$	1.90263	−	3.29545i	0.0760444	−	0.131713i
$627$	−12.2869	+	7.53013i	−0.490693	+	0.300724i
$628$	1.91094	+	3.30985i	0.0762550	+	0.132078i
$629$	−10.7427	+	7.80501i	−0.428339	+	0.311206i
$630$	1.98099	+	0.0784423i	0.0789244	+	0.00312522i
$631$	9.22863	−	28.4028i	0.367386	−	1.13070i	−0.581087	−	0.813841i	$-0.697372\pi$
$631$	9.22863	−	28.4028i	0.367386	−	1.13070i	0.948473	−	0.316857i	$-0.102628\pi$
$632$	−3.80275	+	36.1807i	−0.151265	+	1.43919i
$633$	5.87401	+	0.116253i	0.233471	+	0.00462063i
$634$	−27.4234	−	30.4568i	−1.08912	−	1.20959i
$635$	6.94700	+	1.47663i	0.275683	+	0.0585983i
$636$	−1.26459	+	3.64495i	−0.0501441	+	0.144532i
$637$	−5.10193	−	8.83680i	−0.202146	−	0.350127i
$638$	−35.3803	+	5.37360i	−1.40072	+	0.212743i
$639$	−23.6046	−	28.3992i	−0.933784	−	1.12345i
$640$	−6.44762	+	4.68447i	−0.254864	+	0.185170i
$641$	−25.5073	+	28.3287i	−1.00748	+	1.11892i	−0.0145863	+	0.999894i	$0.504643\pi$
$641$	−25.5073	+	28.3287i	−1.00748	+	1.11892i	−0.992891	+	0.119024i	$0.962024\pi$
$642$	41.0604	+	9.58059i	1.62053	+	0.378116i
$643$	−15.3705	+	6.84340i	−0.606154	+	0.269877i	−0.686778	−	0.726867i	$-0.740976\pi$
$643$	−15.3705	+	6.84340i	−0.606154	+	0.269877i	0.0806235	+	0.996745i	$0.474309\pi$
$644$	−1.14672	+	0.510551i	−0.0451870	+	0.0201185i
$645$	−2.95473	+	3.15377i	−0.116342	+	0.124179i
$646$	11.9177	−	13.2359i	0.468895	−	0.520761i
$647$	16.9687	−	12.3285i	0.667109	−	0.484683i	−0.201947	−	0.979396i	$-0.564727\pi$
$647$	16.9687	−	12.3285i	0.667109	−	0.484683i	0.869056	+	0.494713i	$0.164727\pi$
$648$	4.09487	−	22.0185i	0.160862	−	0.864968i
$649$	21.0120	+	10.8748i	0.824792	+	0.426872i
$650$	−5.66102	−	9.80517i	−0.222043	−	0.384591i
$651$	11.2098	−	2.15181i	0.439346	−	0.0843361i
$652$	−1.76859	−	0.375925i	−0.0692632	−	0.0147223i
$653$	13.2264	+	14.6894i	0.517587	+	0.574839i	0.944107	−	0.329639i	$-0.106927\pi$
$653$	13.2264	+	14.6894i	0.517587	+	0.574839i	−0.426520	+	0.904478i	$0.640261\pi$
$654$	18.9652	−	31.3971i	0.741598	−	1.22772i
$655$	0.426450	−	4.05740i	0.0166628	−	0.158536i
$656$	1.65074	−	5.08046i	0.0644506	−	0.198358i
$657$	−24.7984	+	39.2764i	−0.967479	+	1.53232i
$658$	0.205494	−	0.149300i	0.00801101	−	0.00582034i
$659$	5.90277	+	10.2239i	0.229939	+	0.398267i	0.957790	−	0.287469i	$-0.0928139\pi$
$659$	5.90277	+	10.2239i	0.229939	+	0.398267i	−0.727851	+	0.685736i	$0.759481\pi$
$660$	−0.241993	+	1.30598i	−0.00941956	+	0.0508350i
$661$	−8.90382	+	15.4219i	−0.346318	+	0.599841i	−0.985592	−	0.169138i	$-0.945902\pi$
$661$	−8.90382	+	15.4219i	−0.346318	+	0.599841i	0.639274	+	0.768979i	$0.279235\pi$
$662$	−1.30972	−	12.4612i	−0.0509039	−	0.484318i
$663$	9.98656	+	7.56204i	0.387846	+	0.293685i
$664$	−16.9241	+	3.59733i	−0.656782	+	0.139603i
$665$	−0.867445	−	0.630235i	−0.0336381	−	0.0244395i
$666$	−11.1547	+	7.44837i	−0.432235	+	0.288618i
$667$	−9.60079	+	29.5482i	−0.371744	+	1.14411i
$668$	−4.43916	+	4.93019i	−0.171756	+	0.190755i
$669$	−12.4959	−	14.4429i	−0.483119	−	0.558393i
$670$	3.70329	−	6.41429i	0.143071	−	0.247806i
$671$	3.82060	+	14.6297i	0.147493	+	0.564773i
$672$	−2.46731	−	1.15755i	−0.0951784	−	0.0446533i
$673$	18.0017	+	8.01486i	0.693913	+	0.308950i	0.723217	−	0.690620i	$-0.242662\pi$
$673$	18.0017	+	8.01486i	0.693913	+	0.308950i	−0.0293041	+	0.999571i	$0.509329\pi$
$674$	11.8111	+	36.3508i	0.454946	+	1.40018i
$675$	10.8171	+	21.6026i	0.416351	+	0.831484i
$676$	3.32365	+	2.41477i	0.127833	+	0.0928760i
$677$	1.29761	−	12.3459i	0.0498711	−	0.474492i	−0.940874	−	0.338757i	$-0.889994\pi$
$677$	1.29761	−	12.3459i	0.0498711	−	0.474492i	0.990745	−	0.135735i	$-0.0433396\pi$
$678$	14.7028	−	15.6932i	0.564657	−	0.602693i
$679$	−10.0139	−	2.12852i	−0.384297	−	0.0816850i
$680$	0.707148	+	6.72806i	0.0271179	+	0.258010i
$681$	0.876706	+	10.2977i	0.0335955	+	0.394609i
$682$	2.15290	+	46.7597i	0.0824387	+	1.79052i
$683$	2.02837			0.0776135			0.0388068	−	0.999247i	$-0.487644\pi$
$683$	2.02837			0.0776135			0.0388068	+	0.999247i	$0.487644\pi$
$684$	2.05153	−	2.10466i	0.0784422	−	0.0804738i
$685$	1.69164	+	5.20632i	0.0646341	+	0.198923i
$686$	14.7167	−	3.12813i	0.561886	−	0.119433i
$687$	42.8610	+	0.848265i	1.63525	+	0.0323633i
$688$	17.8205	−	7.93420i	0.679400	−	0.302488i
$689$	6.01077	+	6.67564i	0.228992	+	0.254322i
$690$	5.62719	+	4.26103i	0.214223	+	0.162215i
$691$	2.14032	+	0.952931i	0.0814215	+	0.0362512i	0.447043	−	0.894512i	$-0.352477\pi$
$691$	2.14032	+	0.952931i	0.0814215	+	0.0362512i	−0.365622	+	0.930764i	$0.619144\pi$
$692$	−0.230830			−0.00877483
$693$	6.81732	−	2.26366i	0.258969	−	0.0859895i
$694$	−3.19995			−0.121469
$695$	11.6884	+	5.20402i	0.443367	+	0.197400i
$696$	−27.7149	+	11.6880i	−1.05053	+	0.443032i
$697$	−3.54620	−	3.93846i	−0.134322	−	0.149180i
$698$	−7.36497	+	3.27910i	−0.278768	+	0.124116i
$699$	−3.50225	−	6.35317i	−0.132467	−	0.240299i
$700$	1.28228	−	0.272556i	0.0484655	−	0.0103016i
$701$	−1.37008	−	4.21668i	−0.0517473	−	0.159262i	0.921843	−	0.387563i	$-0.126683\pi$
$701$	−1.37008	−	4.21668i	−0.0517473	−	0.159262i	−0.973591	+	0.228301i	$0.926683\pi$
$702$	9.77736	+	8.03161i	0.369023	+	0.303134i
$703$	7.25411			0.273594
$704$	−10.7384	+	16.3081i	−0.404720	+	0.614634i
$705$	−0.211249	−	0.0991082i	−0.00795609	−	0.00373263i
$706$	−3.50261	−	33.3251i	−0.131822	−	1.25421i
$707$	10.1467	+	2.15675i	0.381606	+	0.0811128i
$708$	−4.69914	−	1.09645i	−0.176605	−	0.0412070i
$709$	−3.12357	+	29.7188i	−0.117308	+	1.11611i	0.764538	+	0.644578i	$0.222967\pi$
$709$	−3.12357	+	29.7188i	−0.117308	+	1.11611i	−0.881847	+	0.471536i	$0.843700\pi$
$710$	9.11565	+	6.62291i	0.342104	+	0.248553i
$711$	34.4346	+	27.1632i	1.29140	+	1.01870i
$712$	−9.59699	−	29.5365i	−0.359662	−	1.10693i
$713$	37.1255	+	16.5293i	1.39036	+	0.619029i
$714$	−7.28435	+	5.07525i	−0.272610	+	0.189936i
$715$	2.39093	+	1.96141i	0.0894157	+	0.0733525i
$716$	1.88258	−	3.26072i	0.0703551	−	0.121859i
$717$	−4.18574	+	12.0647i	−0.156319	+	0.450563i
$718$	9.05541	−	10.0571i	0.337945	−	0.375326i
$719$	−6.68469	+	20.5734i	−0.249297	+	0.767257i	0.745603	+	0.666390i	$0.232162\pi$
$719$	−6.68469	+	20.5734i	−0.249297	+	0.767257i	−0.994900	+	0.100867i	$0.967838\pi$
$720$	0.535145	+	8.20332i	0.0199437	+	0.305720i
$721$	2.58676	+	1.87939i	0.0963360	+	0.0699922i
$722$	19.2173	−	4.08477i	0.715194	−	0.152019i
$723$	−14.0909	+	5.94244i	−0.524046	+	0.221002i
$724$	0.194391	+	1.84950i	0.00722447	+	0.0687363i
$725$	16.2235	−	28.1000i	0.602527	−	1.04361i
$726$	5.18540	+	28.9979i	0.192448	+	1.07621i
$727$	6.22109	+	10.7752i	0.230727	+	0.399631i	0.958022	−	0.286694i	$-0.0925561\pi$
$727$	6.22109	+	10.7752i	0.230727	+	0.399631i	−0.727295	+	0.686325i	$0.759223\pi$
$728$	−2.28910	+	1.66313i	−0.0848396	+	0.0616396i
$729$	−19.8098	−	18.3459i	−0.733697	−	0.679477i
$730$	4.37965	−	13.4792i	0.162098	−	0.498887i
$731$	2.02293	−	19.2469i	0.0748207	−	0.711872i
$732$	−1.48876	−	2.70066i	−0.0550263	−	0.0998191i
$733$	−35.0305	−	38.9053i	−1.29388	−	1.43700i	−0.836736	−	0.547606i	$-0.815539\pi$
$733$	−35.0305	−	38.9053i	−1.29388	−	1.43700i	−0.457143	−	0.889393i	$-0.651127\pi$
$734$	10.2329	+	2.17507i	0.377703	+	0.0802833i
$735$	−4.34683	−	5.02411i	−0.160335	−	0.185317i
$736$	−4.85153	−	8.40310i	−0.178830	−	0.309742i
$737$	4.36635	−	26.4786i	0.160837	−	0.975352i
$738$	−3.42183	−	4.11688i	−0.125959	−	0.151544i
$739$	37.7617	−	27.4355i	1.38909	−	1.00923i	0.393122	−	0.919486i	$-0.371395\pi$
$739$	37.7617	−	27.4355i	1.38909	−	1.00923i	0.995965	−	0.0897445i	$-0.0286051\pi$
$740$	0.447375	−	0.496861i	0.0164458	−	0.0182650i
$741$	−1.98549	−	6.54889i	−0.0729387	−	0.240580i
$742$	−5.81613	+	2.58951i	−0.213517	+	0.0950638i
$743$	−19.9810	+	8.89609i	−0.733030	+	0.326366i	−0.739082	−	0.673616i	$-0.764740\pi$
$743$	−19.9810	+	8.89609i	−0.733030	+	0.326366i	0.00605180	+	0.999982i	$0.498074\pi$
$744$	11.4151	+	37.6514i	0.418499	+	1.38037i
$745$	−0.454155	+	0.504391i	−0.0166390	+	0.0184794i
$746$	27.3853	−	19.8966i	1.00265	−	0.728466i
$747$	−7.22567	+	19.5675i	−0.264373	+	0.715938i
$748$	−2.66657	−	5.31664i	−0.0974994	−	0.194395i
$749$	5.68334	+	9.84384i	0.207665	+	0.359686i
$750$	−10.0099	−	11.5696i	−0.365512	−	0.422461i
$751$	−38.7269	−	8.23167i	−1.41317	−	0.300378i	−0.562810	−	0.826586i	$-0.690280\pi$
$751$	−38.7269	−	8.23167i	−1.41317	−	0.300378i	−0.850356	+	0.526208i	$0.823613\pi$
$752$	0.704764	+	0.782720i	0.0257001	+	0.0285429i
$753$	−17.2027	−	31.2061i	−0.626900	−	1.13721i
$754$	1.77633	−	16.9006i	0.0646900	−	0.615484i
$755$	0.161111	−	0.495850i	0.00586344	−	0.0180458i
$756$	−1.23425	+	0.789297i	−0.0448894	+	0.0287064i
$757$	−18.7253	+	13.6047i	−0.680583	+	0.494472i	−0.873551	−	0.486733i	$-0.838189\pi$
$757$	−18.7253	+	13.6047i	−0.680583	+	0.494472i	0.192968	+	0.981205i	$0.438189\pi$
$758$	26.1480	+	45.2896i	0.949736	+	1.64499i
$759$	24.5219	+	7.26263i	0.890089	+	0.263617i
$760$	1.84789	−	3.20063i	0.0670299	−	0.116099i
$761$	1.55673	+	14.8113i	0.0564313	+	0.536908i	0.985820	+	0.167806i	$0.0536682\pi$
$761$	1.55673	+	14.8113i	0.0564313	+	0.536908i	−0.929389	+	0.369102i	$0.879665\pi$
$762$	−29.6013	+	12.4835i	−1.07234	+	0.452230i
$763$	9.67249	−	2.05595i	0.350168	−	0.0744304i
$764$	1.64233	+	1.19322i	0.0594173	+	0.0431692i
$765$	7.31364	+	3.60948i	0.264425	+	0.130501i
$766$	−8.77872	+	27.0181i	−0.317188	+	0.976204i
$767$	−7.51774	+	8.34930i	−0.271450	+	0.301476i
$768$	5.13153	−	14.7908i	0.185168	−	0.533715i
$769$	−10.8117	+	18.7264i	−0.389879	+	0.675290i	−0.992433	−	0.122788i	$-0.960816\pi$
$769$	−10.8117	+	18.7264i	−0.389879	+	0.675290i	0.602554	+	0.798078i	$0.294150\pi$
$770$	−1.84572	+	1.18203i	−0.0665153	+	0.0425974i
$771$	4.80681	−	3.34906i	0.173113	−	0.120614i
$772$	1.16595	+	0.519116i	0.0419636	+	0.0186834i
$773$	−1.87664	−	5.77569i	−0.0674979	−	0.207737i	0.911619	−	0.411037i	$-0.134833\pi$
$773$	−1.87664	−	5.77569i	−0.0674979	−	0.207737i	−0.979117	+	0.203300i	$0.934833\pi$
$774$	2.81100	−	19.3453i	0.101039	−	0.695353i
$775$	−34.3361	−	24.9466i	−1.23339	−	0.896109i
$776$	3.68853	−	35.0941i	0.132411	−	1.25980i
$777$	−3.52135	−	0.821634i	−0.126328	−	0.0294759i
$778$	46.5903	+	9.90307i	1.67034	+	0.355042i
$779$	0.302633	+	2.87936i	0.0108430	+	0.103164i
$780$	−0.571007	−	0.267890i	−0.0204453	−	0.00959200i
$781$	39.3667	+	10.8167i	1.40865	+	0.387051i
$782$	−31.6086			−1.13032
$783$	−5.92339	+	35.7749i	−0.211685	+	1.27849i
$784$	9.26663	+	28.5197i	0.330951	+	1.01856i
$785$	5.66714	−	1.20459i	0.202269	−	0.0429936i
$786$	8.90908	+	16.1613i	0.317777	+	0.576455i
$787$	46.7328	−	20.8068i	1.66584	−	0.741681i	0.665853	−	0.746083i	$-0.268068\pi$
$787$	46.7328	−	20.8068i	1.66584	−	0.741681i	0.999990	+	0.00440228i	$0.00140129\pi$
$788$	−5.86995	−	6.51924i	−0.209108	−	0.232238i
$789$	−22.7936	+	9.61254i	−0.811473	+	0.342216i
$790$	−12.2252	−	5.44303i	−0.434954	−	0.193654i
$791$	5.79736			0.206130
$792$	10.2160	+	22.5539i	0.363009	+	0.801418i
$793$	−7.18019			−0.254976
$794$	−11.7175	−	5.21697i	−0.415839	−	0.185143i
$795$	4.66269	+	3.53069i	0.165369	+	0.125221i
$796$	−5.44309	−	6.04516i	−0.192925	−	0.214265i
$797$	−23.0773	+	10.2747i	−0.817439	+	0.363947i	−0.772478	−	0.635041i	$-0.780983\pi$
$797$	−23.0773	+	10.2747i	−0.817439	+	0.363947i	−0.0449609	+	0.998989i	$0.514316\pi$
$798$	4.84911	+	0.0959690i	0.171657	+	0.00339727i
$799$	1.02210	−	0.217254i	0.0361593	−	0.00768590i
$800$	3.13143	+	9.63754i	0.110713	+	0.340738i
$801$	−36.2860	−	9.22732i	−1.28210	−	0.326031i
$802$	−6.08192			−0.214760
$803$	−2.36185	−	51.2980i	−0.0833480	−	1.81027i
$804$	0.464295	+	5.45357i	0.0163744	+	0.192332i
$805$	0.198903	+	1.89244i	0.00701042	+	0.0666997i
$806$	−21.7425	−	4.62152i	−0.765848	−	0.162786i
$807$	7.95838	−	8.49446i	0.280148	−	0.299019i
$808$	−3.73745	+	35.5595i	−0.131483	+	1.25098i
$809$	−41.5248	−	30.1696i	−1.45994	−	1.06071i	−0.983380	−	0.181561i	$-0.941885\pi$
$809$	−41.5248	−	30.1696i	−1.45994	−	1.06071i	−0.476556	−	0.879144i	$-0.658115\pi$
$810$	7.23751	+	3.93540i	0.254300	+	0.138276i
$811$	1.40476	+	4.32339i	0.0493276	+	0.151815i	0.972686	−	0.232124i	$-0.0745674\pi$
$811$	1.40476	+	4.32339i	0.0493276	+	0.151815i	−0.923359	+	0.383939i	$0.874567\pi$
$812$	1.79751	+	0.800302i	0.0630801	+	0.0280851i
$813$	−6.24142	−	2.92819i	−0.218896	−	0.102696i
$814$	5.40186	−	13.8096i	0.189335	−	0.484025i
$815$	−1.37048	+	2.37375i	−0.0480059	+	0.0831487i
$816$	−24.0869	−	27.8399i	−0.843212	−	0.974591i
$817$	−7.07435	+	7.85686i	−0.247500	+	0.274877i
$818$	−1.19649	+	3.68241i	−0.0418342	+	0.128753i
$819$	0.222054	+	3.40390i	0.00775920	+	0.118942i
$820$	0.215882	+	0.156848i	0.00753894	+	0.00547736i
$821$	−10.6362	+	2.26079i	−0.371205	+	0.0789021i	−0.389737	−	0.920926i	$-0.627434\pi$
$821$	−10.6362	+	2.26079i	−0.371205	+	0.0789021i	0.0185320	+	0.999828i	$0.494101\pi$
$822$	−19.7411	−	14.9484i	−0.688549	−	0.521384i
$823$	2.46856	+	23.4868i	0.0860486	+	0.818697i	0.949395	+	0.314085i	$0.101698\pi$
$823$	2.46856	+	23.4868i	0.0860486	+	0.818697i	−0.863346	+	0.504612i	$0.831636\pi$
$824$	−5.51048	+	9.54444i	−0.191967	+	0.332496i
$825$	−23.4731	−	12.7436i	−0.817230	−	0.443676i
$826$	−3.98136	−	6.89591i	−0.138529	−	0.239940i
$827$	22.3321	−	16.2252i	0.776564	−	0.564207i	−0.127382	−	0.991854i	$-0.540657\pi$
$827$	22.3321	−	16.2252i	0.776564	−	0.564207i	0.903946	+	0.427647i	$0.140657\pi$
$828$	−5.21194	−	0.206380i	−0.181127	−	0.00717221i
$829$	−4.97546	+	15.3129i	−0.172805	+	0.531839i	−0.999526	−	0.0307727i	$-0.990203\pi$
$829$	−4.97546	+	15.3129i	−0.172805	+	0.531839i	0.826722	+	0.562611i	$0.190203\pi$
$830$	0.665273	−	6.32965i	0.0230920	−	0.219705i
$831$	11.7602	−	19.4691i	0.407956	−	0.675376i
$832$	−6.20441	−	6.89069i	−0.215099	−	0.238892i
$833$	29.1005	+	6.18550i	1.00827	+	0.214315i
$834$	−56.8371	+	10.9103i	−1.96811	+	0.377794i
$835$	5.02854	+	8.70968i	0.174020	+	0.301411i
$836$	−0.528675	+	3.20601i	−0.0182846	+	0.110882i
$837$	45.7284	+	12.5969i	1.58061	+	0.435412i
$838$	−13.4334	+	9.75993i	−0.464049	+	0.337151i
$839$	−13.0025	+	14.4407i	−0.448896	+	0.498549i	−0.924538	−	0.381089i	$-0.875549\pi$
$839$	−13.0025	+	14.4407i	−0.448896	+	0.498549i	0.475642	+	0.879639i	$0.342216\pi$
$840$	−1.25953	+	1.34438i	−0.0434581	+	0.0463854i
$841$	17.9979	−	8.01318i	0.620617	−	0.276317i
$842$	31.3390	−	13.9530i	1.08001	−	0.480853i
$843$	5.00603	+	1.16805i	0.172417	+	0.0402299i
$844$	0.886407	−	0.984455i	0.0305114	−	0.0338863i
$845$	5.03845	−	3.66065i	0.173328	−	0.125930i
$846$	1.04030	−	0.178428i	0.0357664	−	0.00613449i
$847$	−4.74909	+	6.36497i	−0.163181	+	0.218703i
$848$	−13.1997	−	22.8626i	−0.453280	−	0.785103i
$849$	4.59446	−	13.2427i	0.157681	−	0.454489i
$850$	32.2894	+	6.86333i	1.10752	+	0.235410i
$851$	−8.61427	−	9.56712i	−0.295293	−	0.327957i
$852$	−8.32484	−	0.164757i	−0.285204	−	0.00564449i
$853$	2.06815	−	19.6771i	0.0708121	−	0.673732i	−0.900326	−	0.435215i	$-0.856672\pi$
$853$	2.06815	−	19.6771i	0.0708121	−	0.673732i	0.971138	−	0.238517i	$-0.0766611\pi$
$854$	1.57255	−	4.83980i	0.0538114	−	0.165614i
$855$	−2.07334	−	3.94371i	−0.0709068	−	0.134872i
$856$	−31.6966	+	23.0289i	−1.08337	+	0.787112i
$857$	2.17032	+	3.75911i	0.0741369	+	0.128409i	0.900711	−	0.434420i	$-0.143047\pi$
$857$	2.17032	+	3.75911i	0.0741369	+	0.128409i	−0.826574	+	0.562828i	$0.809713\pi$
$858$	−13.9456	−	1.09697i	−0.476094	−	0.0374498i
$859$	2.58967	−	4.48545i	0.0883586	−	0.153042i	−0.818459	−	0.574565i	$-0.805171\pi$
$859$	2.58967	−	4.48545i	0.0883586	−	0.153042i	0.906817	+	0.421524i	$0.138505\pi$
$860$	0.101856	+	0.969096i	0.00347327	+	0.0330459i
$861$	0.179223	−	1.43200i	0.00610791	−	0.0488025i
$862$	27.9153	−	5.93357i	0.950797	−	0.202098i
$863$	2.17943	+	1.58345i	0.0741886	+	0.0539011i	0.624261	−	0.781216i	$-0.285400\pi$
$863$	2.17943	+	1.58345i	0.0741886	+	0.0539011i	−0.550073	+	0.835117i	$0.685400\pi$
$864$	−7.06518	−	8.85084i	−0.240362	−	0.301112i
$865$	−0.108132	+	0.332797i	−0.00367661	+	0.0113155i
$866$	15.6392	−	17.3691i	0.531441	−	0.590225i
$867$	−6.95109	+	1.33432i	−0.236072	+	0.0453158i
$868$	1.28685	−	2.22889i	0.0436785	−	0.0756534i
$869$	−48.4040	−	2.84509i	−1.64199	−	0.0965132i
$870$	−0.938574	−	11.0244i	−0.0318207	−	0.373762i
$871$	11.6420	+	5.18333i	0.394472	+	0.175630i
$872$	10.5326	+	32.4161i	0.356680	+	1.09775i
$873$	−33.4004	−	26.3474i	−1.13043	−	0.891724i
$874$	13.9699	+	10.1497i	0.472538	+	0.343319i
$875$	0.431114	−	4.10177i	0.0145743	−	0.138665i
$876$	3.03873	+	10.0229i	0.102669	+	0.338642i
$877$	20.3893	+	4.33387i	0.688497	+	0.146344i	0.538858	−	0.842396i	$-0.318856\pi$
$877$	20.3893	+	4.33387i	0.688497	+	0.146344i	0.149638	+	0.988741i	$0.452189\pi$
$878$	−3.87155	−	36.8353i	−0.130658	−	1.24313i
$879$	22.3339	−	15.5607i	0.753302	−	0.524851i
$880$	−5.67454	−	7.09919i	−0.191289	−	0.239314i
$881$	11.5843			0.390286			0.195143	−	0.980775i	$-0.437483\pi$
$881$	11.5843			0.390286			0.195143	+	0.980775i	$0.437483\pi$
$882$	29.1243	+	7.40616i	0.980668	+	0.249378i
$883$	4.75801	+	14.6437i	0.160120	+	0.492798i	0.998644	−	0.0520667i	$-0.0165808\pi$
$883$	4.75801	+	14.6437i	0.160120	+	0.492798i	−0.838524	+	0.544865i	$0.816581\pi$
$884$	2.76274	−	0.587239i	0.0929211	−	0.0197510i
$885$	−3.78211	+	6.26133i	−0.127134	+	0.210472i
$886$	36.0146	−	16.0348i	1.20994	−	0.538698i
$887$	−3.95453	−	4.39196i	−0.132780	−	0.147467i	0.673088	−	0.739563i	$-0.264968\pi$
$887$	−3.95453	−	4.39196i	−0.132780	−	0.147467i	−0.805868	+	0.592095i	$0.798301\pi$
$888$	1.54781	−	12.3671i	0.0519410	−	0.415012i
$889$	−7.91198	−	3.52264i	−0.265359	−	0.118146i
$890$	11.4240			0.382932
$891$	29.5664	+	4.10217i	0.990512	+	0.137428i
$892$	−4.30623			−0.144183
$893$	−0.521493	−	0.232184i	−0.0174511	−	0.00776974i
$894$	0.381270	−	3.04636i	0.0127516	−	0.101886i
$895$	−3.81922	−	4.24168i	−0.127663	−	0.141784i
$896$	8.87838	−	3.95291i	0.296606	−	0.132057i
$897$	−6.27927	+	10.3954i	−0.209659	+	0.347092i
$898$	34.0013	−	7.22719i	1.13464	−	0.241174i
$899$	−19.6852	−	60.5847i	−0.656537	−	2.02061i
$900$	5.27939	+	1.34252i	0.175980	+	0.0447507i
$901$	−26.1909			−0.872546
$902$	5.70677	+	1.56803i	0.190015	+	0.0522098i
$903$	4.32399	−	3.01267i	0.143893	−	0.100255i
$904$	2.08875	+	19.8731i	0.0694707	+	0.660969i
$905$	2.75757	+	0.586140i	0.0916648	+	0.0194840i
$906$	0.684245	+	2.25690i	0.0227325	+	0.0749804i
$907$	0.772812	−	7.35282i	0.0256608	−	0.244146i	−0.974171	−	0.225811i	$-0.927497\pi$
$907$	0.772812	−	7.35282i	0.0256608	−	0.244146i	0.999832	−	0.0183351i	$-0.00583657\pi$
$908$	1.88525	+	1.36971i	0.0625642	+	0.0454556i
$909$	33.8434	+	26.6968i	1.12251	+	0.885478i
$910$	−0.321628	−	0.989869i	−0.0106619	−	0.0328138i
$911$	−12.9713	−	5.77517i	−0.429757	−	0.191340i	0.180447	−	0.983585i	$-0.442246\pi$
$911$	−12.9713	−	5.77517i	−0.429757	−	0.191340i	−0.610203	+	0.792245i	$0.708912\pi$
$912$	1.70602	+	20.0387i	0.0564918	+	0.663547i
$913$	−5.82692	−	22.3122i	−0.192843	−	0.738426i
$914$	−16.7675	+	29.0422i	−0.554620	+	0.960631i
$915$	−4.59107	+	0.881292i	−0.151776	+	0.0291346i
$916$	6.46787	−	7.18330i	0.213704	−	0.237343i
$917$	−1.53737	+	4.73153i	−0.0507684	+	0.156249i
$918$	−36.4773	+	5.51577i	−1.20393	+	0.182048i
$919$	33.6895	+	24.4769i	1.11132	+	0.807418i	0.982870	−	0.184299i	$-0.0590013\pi$
$919$	33.6895	+	24.4769i	1.11132	+	0.807418i	0.128445	+	0.991717i	$0.459001\pi$
$920$	−6.41554	+	1.36366i	−0.211514	+	0.0449587i
$921$	0.755671	−	6.03785i	0.0249002	−	0.198954i
$922$	1.95613	+	18.6114i	0.0644218	+	0.612932i
$923$	−9.69344	+	16.7895i	−0.319063	+	0.552634i
$924$	0.619761	−	1.49641i	0.0203887	−	0.0492283i
$925$	6.72247	+	11.6437i	0.221033	+	0.382841i
$926$	−25.0555	+	18.2039i	−0.823376	+	0.598218i
$927$	6.18280	+	11.7603i	0.203070	+	0.386260i
$928$	−4.70008	+	14.4654i	−0.154288	+	0.474849i
$929$	3.56785	−	33.9458i	0.117057	−	1.11373i	−0.765473	−	0.643469i	$-0.777495\pi$
$929$	3.56785	−	33.9458i	0.117057	−	1.11373i	0.882530	−	0.470257i	$-0.155839\pi$
$930$	−14.4696	−	0.286368i	−0.474476	−	0.00939037i
$931$	−10.8752	−	12.0781i	−0.356419	−	0.395844i
$932$	−1.59999	−	0.340089i	−0.0524094	−	0.0111400i
$933$	14.9507	−	43.0927i	0.489463	−	1.41079i
$934$	−4.69059	−	8.12434i	−0.153481	−	0.265837i
$935$	−8.91439	+	1.35393i	−0.291532	+	0.0442781i
$936$	−11.5884	+	1.98759i	−0.378780	+	0.0649666i
$937$	−41.8118	+	30.3780i	−1.36593	+	0.992407i	−0.367889	+	0.929870i	$0.619919\pi$
$937$	−41.8118	+	30.3780i	−1.36593	+	0.992407i	−0.998043	+	0.0625376i	$0.980081\pi$
$938$	−6.04353	+	6.71202i	−0.197328	+	0.219155i
$939$	4.15132	+	0.968623i	0.135473	+	0.0316098i
$940$	−0.0480647	+	0.0213998i	−0.00156770	+	0.000697984i
$941$	16.4495	−	7.32378i	0.536237	−	0.238748i	−0.120706	−	0.992688i	$-0.538516\pi$
$941$	16.4495	−	7.32378i	0.536237	−	0.238748i	0.656943	+	0.753940i	$0.271849\pi$
$942$	−17.9181	+	19.1251i	−0.583803	+	0.623128i
$943$	3.43809	−	3.81838i	0.111959	−	0.124344i
$944$	26.7122	−	19.4075i	0.869407	−	0.631661i
$945$	0.559776	+	2.14923i	0.0182095	+	0.0699143i
$946$	9.68901	+	19.3181i	0.315017	+	0.628084i
$947$	−14.3151	−	24.7946i	−0.465180	−	0.805715i	0.534030	−	0.845466i	$-0.320677\pi$
$947$	−14.3151	−	24.7946i	−0.465180	−	0.805715i	−0.999210	+	0.0397506i	$0.987344\pi$
$948$	9.71182	−	1.86426i	0.315425	−	0.0605484i
$949$	23.8528	+	5.07007i	0.774295	+	0.164581i
$950$	−12.0669	−	13.4017i	−0.391502	−	0.434808i
$951$	23.7381	−	39.2987i	0.769761	−	1.27435i
$952$	0.862328	−	8.20451i	0.0279482	−	0.265910i
$953$	5.15728	−	15.8725i	0.167061	−	0.514160i	−0.832121	−	0.554594i	$-0.812874\pi$
$953$	5.15728	−	15.8725i	0.167061	−	0.514160i	0.999182	+	0.0404331i	$0.0128738\pi$
$954$	−26.4349	−	1.04676i	−0.855861	−	0.0338900i
$955$	2.48967	−	1.80885i	0.0805637	−	0.0585330i
$956$	1.43969	+	2.49361i	0.0465628	+	0.0806492i
$957$	−17.2603	−	36.1832i	−0.557946	−	1.16964i
$958$	−28.0414	+	48.5690i	−0.905975	+	1.56919i
$959$	−0.697785	−	6.63898i	−0.0225327	−	0.214384i
$960$	−4.81290	−	3.64443i	−0.155336	−	0.117624i
$961$	−51.1814	+	10.8789i	−1.65101	+	0.350933i
$962$	5.69677	+	4.13895i	0.183671	+	0.133445i
$963$	3.07473	+	47.1330i	0.0990818	+	1.51884i
$964$	−1.06554	+	3.27939i	−0.0343187	+	0.105622i
$965$	1.29463	−	1.43783i	0.0416755	−	0.0462853i
$966$	−5.63176	−	6.50924i	−0.181199	−	0.209431i
$967$	−12.1597	+	21.0612i	−0.391029	+	0.677281i	−0.992585	−	0.121549i	$-0.961214\pi$
$967$	−12.1597	+	21.0612i	−0.391029	+	0.677281i	0.601557	+	0.798830i	$0.294547\pi$
$968$	−23.5299	−	13.9864i	−0.756280	−	0.449541i
$969$	18.0632	+	8.47443i	0.580275	+	0.272238i
$970$	11.8581	+	5.27955i	0.380739	+	0.169516i
$971$	2.33367	+	7.18229i	0.0748910	+	0.230491i	0.981494	−	0.191495i	$-0.0613334\pi$
$971$	2.33367	+	7.18229i	0.0748910	+	0.230491i	−0.906603	+	0.421985i	$0.861333\pi$
$972$	−6.05076	+	0.671326i	−0.194078	+	0.0215328i
$973$	−12.6225	−	9.17079i	−0.404659	−	0.294002i
$974$	1.40362	−	13.3545i	0.0449748	−	0.427907i
$975$	8.67173	−	9.25586i	0.277718	−	0.296425i
$976$	20.6403	+	4.38723i	0.660679	+	0.140432i
$977$	−0.212432	−	2.02115i	−0.00679629	−	0.0646624i	0.990598	−	0.136804i	$-0.0436832\pi$
$977$	−0.212432	−	2.02115i	−0.00679629	−	0.0646624i	−0.997394	+	0.0721420i	$0.977017\pi$
$978$	−1.05175	−	12.3537i	−0.0336313	−	0.395029i
$979$	38.7366	−	14.5880i	1.23803	−	0.466235i
$980$	−1.49797			−0.0478508
$981$	39.8236	+	10.1269i	1.27147	+	0.323328i
$982$	−15.8611	−	48.8154i	−0.506148	−	1.55776i
$983$	−32.7089	+	6.95248i	−1.04325	+	0.221750i	−0.697506	−	0.716579i	$-0.745707\pi$
$983$	−32.7089	+	6.95248i	−1.04325	+	0.221750i	−0.345745	+	0.938329i	$0.612374\pi$
$984$	4.97342	+	0.0984291i	0.158547	+	0.00313781i
$985$	−12.1489	+	5.40902i	−0.387095	+	0.172346i
$986$	33.1536	+	36.8208i	1.05583	+	1.17261i
$987$	0.226850	+	0.171775i	0.00722070	+	0.00546767i
$988$	−1.40960	−	0.627594i	−0.0448453	−	0.0199664i
$989$	18.7629			0.596624
$990$	−9.05154	+	1.01026i	−0.287677	+	0.0321082i
$991$	40.1009			1.27385			0.636923	−	0.770927i	$-0.280207\pi$
$991$	40.1009			1.27385			0.636923	+	0.770927i	$0.280207\pi$
$992$	18.1749	+	8.09197i	0.577052	+	0.256920i
$993$	12.9334	−	5.45430i	0.410430	−	0.173087i
$994$	−9.19397	−	10.2109i	−0.291615	−	0.323871i
$995$	−11.2654	+	5.01568i	−0.357137	+	0.159008i
$996$	2.27056	+	4.11885i	0.0719454	+	0.130511i
$997$	−15.7776	+	3.35364i	−0.499682	+	0.106211i	−0.450856	−	0.892597i	$-0.648881\pi$
$997$	−15.7776	+	3.35364i	−0.499682	+	0.106211i	−0.0488260	+	0.998807i	$0.515548\pi$
$998$	9.97461	+	30.6987i	0.315741	+	0.971750i
$999$	−11.6106	−	9.53755i	−0.367344	−	0.301755i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.58.8	yes	72
3.2	odd	2		297.2.n.b.91.2		72
9.2	odd	6		297.2.n.b.289.8		72
9.4	even	3		891.2.f.f.487.2		36
9.5	odd	6		891.2.f.e.487.8		36
9.7	even	3	inner	99.2.m.b.25.2	yes	72
11.2	odd	10		1089.2.e.o.364.15		36
11.4	even	5	inner	99.2.m.b.4.2	✓	72
11.9	even	5		1089.2.e.p.364.4		36
33.26	odd	10		297.2.n.b.37.8		72
99.4	even	15		891.2.f.f.730.2		36
99.13	odd	30		9801.2.a.co.1.4		18
99.31	even	15		9801.2.a.cm.1.15		18
99.59	odd	30		891.2.f.e.730.8		36
99.68	even	30		9801.2.a.cn.1.15		18
99.70	even	15	inner	99.2.m.b.70.8	yes	72
99.79	odd	30		1089.2.e.o.727.15		36
99.86	odd	30		9801.2.a.cp.1.4		18
99.92	odd	30		297.2.n.b.235.2		72
99.97	even	15		1089.2.e.p.727.4		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.4.2	✓	72	11.4	even	5	inner
99.2.m.b.25.2	yes	72	9.7	even	3	inner
99.2.m.b.58.8	yes	72	1.1	even	1	trivial
99.2.m.b.70.8	yes	72	99.70	even	15	inner
297.2.n.b.37.8		72	33.26	odd	10
297.2.n.b.91.2		72	3.2	odd	2
297.2.n.b.235.2		72	99.92	odd	30
297.2.n.b.289.8		72	9.2	odd	6
891.2.f.e.487.8		36	9.5	odd	6
891.2.f.e.730.8		36	99.59	odd	30
891.2.f.f.487.2		36	9.4	even	3
891.2.f.f.730.2		36	99.4	even	15
1089.2.e.o.364.15		36	11.2	odd	10
1089.2.e.o.727.15		36	99.79	odd	30
1089.2.e.p.364.4		36	11.9	even	5
1089.2.e.p.727.4		36	99.97	even	15
9801.2.a.cm.1.15		18	99.31	even	15
9801.2.a.cn.1.15		18	99.68	even	30
9801.2.a.co.1.4		18	99.13	odd	30
9801.2.a.cp.1.4		18	99.86	odd	30

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.m (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.41247 + 0.628870i) q^{2} +(-0.215098 + 1.71864i) q^{3} +(0.261321 + 0.290226i) q^{4} +(0.540848 - 0.240801i) q^{5} +(-1.38462 + 2.29226i) q^{6} +(-0.706174 + 0.150102i) q^{7} +(-0.768973 - 2.36665i) q^{8} +(-2.90747 - 0.739353i) q^{9} +0.915362 q^{10} +(3.10382 - 1.16888i) q^{11} +(-0.555005 + 0.386690i) q^{12} +(0.164629 + 1.56634i) q^{13} +(-1.09184 - 0.232078i) q^{14} +(0.297516 + 0.981321i) q^{15} +(0.483816 - 4.60320i) q^{16} +(-3.71501 - 2.69911i) q^{17} +(-3.64174 - 2.87273i) q^{18} +(0.775200 + 2.38582i) q^{19} +(0.211222 + 0.0940420i) q^{20} +(-0.106075 - 1.24595i) q^{21} +(5.11912 + 0.300892i) q^{22} +(2.22600 - 3.85554i) q^{23} +(4.23284 - 0.812527i) q^{24} +(-3.11112 + 3.45525i) q^{25} +(-0.752490 + 2.31593i) q^{26} +(1.89607 - 4.83786i) q^{27} +(-0.228102 - 0.165726i) q^{28} +(-6.82612 + 1.45094i) q^{29} +(-0.196892 + 1.57318i) q^{30} +(0.954161 + 9.07824i) q^{31} +(1.08974 - 1.88749i) q^{32} +(1.34127 + 5.58579i) q^{33} +(-3.54993 - 6.14866i) q^{34} +(-0.345788 + 0.251230i) q^{35} +(-0.545202 - 1.03703i) q^{36} +(0.893583 - 2.75017i) q^{37} +(-0.405428 + 3.85739i) q^{38} +(-2.72738 - 0.0539778i) q^{39} +(-0.985790 - 1.09483i) q^{40} +(1.12890 + 0.239955i) q^{41} +(0.633712 - 1.82657i) q^{42} +(2.10724 + 3.64985i) q^{43} +(1.15033 + 0.595357i) q^{44} +(-1.75053 + 0.300244i) q^{45} +(5.56879 - 4.04596i) q^{46} +(-0.152264 + 0.169107i) q^{47} +(7.80719 + 1.82164i) q^{48} +(-5.91867 + 2.63516i) q^{49} +(-6.56726 + 2.92393i) q^{50} +(5.43790 - 5.80420i) q^{51} +(-0.411571 + 0.457096i) q^{52} +(4.61430 - 3.35249i) q^{53} +(5.72053 - 5.64093i) q^{54} +(1.39723 - 1.37959i) q^{55} +(0.898268 + 1.55585i) q^{56} +(-4.26712 + 0.819107i) q^{57} +(-10.5541 - 2.24335i) q^{58} +(4.77328 + 5.30126i) q^{59} +(-0.207058 + 0.342787i) q^{60} +(-0.476541 + 4.53398i) q^{61} +(-4.36131 + 13.4227i) q^{62} +(2.16416 + 0.0856954i) q^{63} +(-4.76295 + 3.46049i) q^{64} +(0.466215 + 0.807507i) q^{65} +(-1.61824 + 8.73322i) q^{66} +(4.04571 - 7.00738i) q^{67} +(-0.187456 - 1.78353i) q^{68} +(6.14750 + 4.65502i) q^{69} +(-0.646405 + 0.137398i) q^{70} +(9.95852 + 7.23528i) q^{71} +(0.485970 + 7.44951i) q^{72} +(4.78461 - 14.7255i) q^{73} +(2.99165 - 3.32257i) q^{74} +(-5.26915 - 6.09012i) q^{75} +(-0.489852 + 0.848448i) q^{76} +(-2.01639 + 1.29133i) q^{77} +(-3.81839 - 1.79141i) q^{78} +(-13.3556 - 5.94631i) q^{79} +(-0.846785 - 2.60614i) q^{80} +(7.90672 + 4.29928i) q^{81} +(1.44363 + 1.04886i) q^{82} +(0.726787 - 6.91491i) q^{83} +(0.333887 - 0.356378i) q^{84} +(-2.65920 - 0.565231i) q^{85} +(0.681124 + 6.48047i) q^{86} +(-1.02536 - 12.0438i) q^{87} +(-5.15310 - 6.44683i) q^{88} +12.4803 q^{89} +(-2.66138 - 0.676775i) q^{90} +(-0.351367 - 1.08140i) q^{91} +(1.70068 - 0.361491i) q^{92} +(-15.8075 - 0.312847i) q^{93} +(-0.321414 + 0.143103i) q^{94} +(0.993774 + 1.10370i) q^{95} +(3.00952 + 2.27887i) q^{96} +(12.9545 + 5.76772i) q^{97} -10.0171 q^{98} +(-9.88847 + 1.10367i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Introduction

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