LMFDB - Embedded newform 99.2.m.b.16.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [99,2,Mod(4,99)]

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

lf = mfeigenbasis(mf)

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")

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

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			16.4
Character	$\chi$	$=$	99.16
Dual form			99.2.m.b.31.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.662860 - 0.140895i) q^{2} +(0.607840 - 1.62189i) q^{3} +(-1.40756 - 0.626686i) q^{4} +(-0.284440 + 0.0604596i) q^{5} +(-0.631430 + 0.989445i) q^{6} +(-0.350744 - 3.33711i) q^{7} +(1.94121 + 1.41037i) q^{8} +(-2.26106 - 1.97170i) q^{9} +0.197063 q^{10} +(-0.141911 + 3.31359i) q^{11} +(-1.87199 + 1.90198i) q^{12} +(2.80146 - 3.11133i) q^{13} +(-0.237688 + 2.26145i) q^{14} +(-0.0748353 + 0.498081i) q^{15} +(0.973911 + 1.08164i) q^{16} +(1.07639 - 3.31279i) q^{17} +(1.22096 + 1.62553i) q^{18} +(4.91808 + 3.57319i) q^{19} +(0.438256 + 0.0931541i) q^{20} +(-5.62562 - 1.45956i) q^{21} +(0.560936 - 2.17645i) q^{22} +(3.34545 + 5.79449i) q^{23} +(3.46741 - 2.29115i) q^{24} +(-4.49048 + 1.99929i) q^{25} +(-2.29535 + 1.66767i) q^{26} +(-4.57225 + 2.46871i) q^{27} +(-1.59762 + 4.91698i) q^{28} +(0.173489 + 1.65064i) q^{29} +(0.119783 - 0.319614i) q^{30} +(1.31351 - 1.45880i) q^{31} +(-2.89263 - 5.01019i) q^{32} +(5.28802 + 2.24430i) q^{33} +(-1.18025 + 2.04426i) q^{34} +(0.301526 + 0.928002i) q^{35} +(1.94694 + 4.19226i) q^{36} +(2.05205 - 1.49091i) q^{37} +(-2.75655 - 3.06146i) q^{38} +(-3.34341 - 6.43485i) q^{39} +(-0.637428 - 0.283801i) q^{40} +(0.678008 - 6.45081i) q^{41} +(3.52335 + 1.76011i) q^{42} +(-0.0247979 + 0.0429513i) q^{43} +(2.27633 - 4.57514i) q^{44} +(0.762345 + 0.424128i) q^{45} +(-1.40115 - 4.31230i) q^{46} +(1.23275 - 0.548854i) q^{47} +(2.34628 - 0.922115i) q^{48} +(-4.16623 + 0.885559i) q^{49} +(3.25825 - 0.692562i) q^{50} +(-4.71871 - 3.75943i) q^{51} +(-5.89305 + 2.62375i) q^{52} +(-0.580228 - 1.78576i) q^{53} +(3.37859 - 0.992204i) q^{54} +(-0.159973 - 0.951098i) q^{55} +(4.02569 - 6.97270i) q^{56} +(8.78473 - 5.80465i) q^{57} +(0.117568 - 1.11858i) q^{58} +(-13.3141 - 5.92783i) q^{59} +(0.417475 - 0.654180i) q^{60} +(2.58227 + 2.86790i) q^{61} +(-1.07621 + 0.781913i) q^{62} +(-5.78672 + 8.23696i) q^{63} +(0.311959 + 0.960112i) q^{64} +(-0.608737 + 1.05436i) q^{65} +(-3.18901 - 2.23271i) q^{66} +(4.46764 + 7.73818i) q^{67} +(-3.59116 + 3.98839i) q^{68} +(11.4315 - 1.90383i) q^{69} +(-0.0691185 - 0.657619i) q^{70} +(-3.43882 + 10.5836i) q^{71} +(-1.60836 - 7.01642i) q^{72} +(-1.01830 + 0.739838i) q^{73} +(-1.57029 + 0.699137i) q^{74} +(0.513136 + 8.49831i) q^{75} +(-4.68321 - 8.11157i) q^{76} +(11.1076 - 0.688649i) q^{77} +(1.30957 + 4.73648i) q^{78} +(-2.06109 - 0.438098i) q^{79} +(-0.342415 - 0.248779i) q^{80} +(1.22479 + 8.91627i) q^{81} +(-1.35831 + 4.18046i) q^{82} +(6.27328 + 6.96718i) q^{83} +(7.00371 + 5.57991i) q^{84} +(-0.105879 + 1.00737i) q^{85} +(0.0224892 - 0.0249768i) q^{86} +(2.78260 + 0.721943i) q^{87} +(-4.94886 + 6.23222i) q^{88} -8.41413 q^{89} +(-0.445570 - 0.388548i) q^{90} +(-11.3654 - 8.25748i) q^{91} +(-1.07760 - 10.2526i) q^{92} +(-1.56761 - 3.01709i) q^{93} +(-0.894469 + 0.190125i) q^{94} +(-1.61493 - 0.719014i) q^{95} +(-9.88424 + 1.64614i) q^{96} +(-0.961993 - 0.204478i) q^{97} +2.88640 q^{98} +(6.85427 - 7.21242i) 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 $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.662860	−	0.140895i	−0.468713	−	0.0996280i	−0.0325004	−	0.999472i	$-0.510347\pi$
$2$	−0.662860	−	0.140895i	−0.468713	−	0.0996280i	−0.436212	+	0.899844i	$0.643680\pi$
$3$	0.607840	−	1.62189i	0.350937	−	0.936399i
$3$	0.607840	−	1.62189i	0.350937	−	0.936399i
$4$	−1.40756	−	0.626686i	−0.703779	−	0.313343i
$5$	−0.284440	+	0.0604596i	−0.127206	+	0.0270384i	−0.271074	−	0.962558i	$-0.587379\pi$
$5$	−0.284440	+	0.0604596i	−0.127206	+	0.0270384i	0.143869	+	0.989597i	$0.454046\pi$
$6$	−0.631430	+	0.989445i	−0.257780	+	0.403939i
$7$	−0.350744	−	3.33711i	−0.132569	−	1.26131i	−0.835277	−	0.549830i	$-0.814693\pi$
$7$	−0.350744	−	3.33711i	−0.132569	−	1.26131i	0.702708	−	0.711478i	$-0.251974\pi$
$8$	1.94121	+	1.41037i	0.686321	+	0.498641i
$9$	−2.26106	−	1.97170i	−0.753687	−	0.657234i
$10$	0.197063			0.0623166
$11$	−0.141911	+	3.31359i	−0.0427878	+	0.999084i
$11$	−0.141911	+	3.31359i	−0.0427878	+	0.999084i
$12$	−1.87199	+	1.90198i	−0.540396	+	0.549055i
$13$	2.80146	−	3.11133i	0.776985	−	0.862929i	−0.216572	−	0.976267i	$-0.569488\pi$
$13$	2.80146	−	3.11133i	0.776985	−	0.862929i	0.993557	+	0.113338i	$0.0361543\pi$
$14$	−0.237688	+	2.26145i	−0.0635249	+	0.604399i
$15$	−0.0748353	+	0.498081i	−0.0193224	+	0.128604i
$16$	0.973911	+	1.08164i	0.243478	+	0.270409i
$17$	1.07639	−	3.31279i	0.261063	−	0.803469i	−0.731511	−	0.681829i	$-0.761185\pi$
$17$	1.07639	−	3.31279i	0.261063	−	0.803469i	0.992574	−	0.121640i	$-0.0388153\pi$
$18$	1.22096	+	1.62553i	0.287784	+	0.383142i
$19$	4.91808	+	3.57319i	1.12828	+	0.819746i	0.985444	−	0.169999i	$-0.0543766\pi$
$19$	4.91808	+	3.57319i	1.12828	+	0.819746i	0.142840	+	0.989746i	$0.454377\pi$
$20$	0.438256	+	0.0931541i	0.0979969	+	0.0208299i
$21$	−5.62562	−	1.45956i	−1.22761	−	0.318502i
$22$	0.560936	−	2.17645i	0.119592	−	0.464021i
$23$	3.34545	+	5.79449i	0.697575	+	1.20824i	0.969305	+	0.245862i	$0.0790709\pi$
$23$	3.34545	+	5.79449i	0.697575	+	1.20824i	−0.271730	+	0.962374i	$0.587596\pi$
$24$	3.46741	−	2.29115i	0.707783	−	0.467679i
$25$	−4.49048	+	1.99929i	−0.898095	+	0.399858i
$26$	−2.29535	+	1.66767i	−0.450154	+	0.327056i
$27$	−4.57225	+	2.46871i	−0.879930	+	0.475104i
$28$	−1.59762	+	4.91698i	−0.301923	+	0.929222i
$29$	0.173489	+	1.65064i	0.0322161	+	0.306515i	0.998750	+	0.0499778i	$0.0159151\pi$
$29$	0.173489	+	1.65064i	0.0322161	+	0.306515i	−0.966534	+	0.256538i	$0.917418\pi$
$30$	0.119783	−	0.319614i	0.0218692	−	0.0583533i
$31$	1.31351	−	1.45880i	0.235913	−	0.262008i	−0.613550	−	0.789656i	$-0.710259\pi$
$31$	1.31351	−	1.45880i	0.235913	−	0.262008i	0.849463	+	0.527647i	$0.176926\pi$
$32$	−2.89263	−	5.01019i	−0.511350	−	0.885685i
$33$	5.28802	+	2.24430i	0.920526	+	0.390682i
$34$	−1.18025	+	2.04426i	−0.202412	+	0.350587i
$35$	0.301526	+	0.928002i	0.0509672	+	0.156861i
$36$	1.94694	+	4.19226i	0.324490	+	0.698710i
$37$	2.05205	−	1.49091i	0.337356	−	0.245103i	−0.406190	−	0.913789i	$-0.633143\pi$
$37$	2.05205	−	1.49091i	0.337356	−	0.245103i	0.743545	+	0.668686i	$0.233143\pi$
$38$	−2.75655	−	3.06146i	−0.447172	−	0.496634i
$39$	−3.34341	−	6.43485i	−0.535373	−	1.03040i
$40$	−0.637428	−	0.283801i	−0.100786	−	0.0448729i
$41$	0.678008	−	6.45081i	0.105887	−	1.00745i	−0.804574	−	0.593853i	$-0.797606\pi$
$41$	0.678008	−	6.45081i	0.105887	−	1.00745i	0.910461	−	0.413595i	$-0.135727\pi$
$42$	3.52335	+	1.76011i	0.543665	+	0.271590i
$43$	−0.0247979	+	0.0429513i	−0.00378165	+	0.00655001i	−0.867910	−	0.496721i	$-0.834537\pi$
$43$	−0.0247979	+	0.0429513i	−0.00378165	+	0.00655001i	0.864128	+	0.503271i	$0.167870\pi$
$44$	2.27633	−	4.57514i	0.343169	−	0.689728i
$45$	0.762345	+	0.424128i	0.113644	+	0.0632253i
$46$	−1.40115	−	4.31230i	−0.206588	−	0.635813i
$47$	1.23275	−	0.548854i	0.179814	−	0.0800586i	−0.314855	−	0.949140i	$-0.601956\pi$
$47$	1.23275	−	0.548854i	0.179814	−	0.0800586i	0.494669	+	0.869081i	$0.335289\pi$
$48$	2.34628	−	0.922115i	0.338656	−	0.133096i
$49$	−4.16623	+	0.885559i	−0.595175	+	0.126508i
$50$	3.25825	−	0.692562i	0.460786	−	0.0979430i
$51$	−4.71871	−	3.75943i	−0.660751	−	0.526426i
$52$	−5.89305	+	2.62375i	−0.817218	+	0.363849i
$53$	−0.580228	−	1.78576i	−0.0797004	−	0.245293i	0.903265	−	0.429083i	$-0.141163\pi$
$53$	−0.580228	−	1.78576i	−0.0797004	−	0.245293i	−0.982965	+	0.183790i	$0.941163\pi$
$54$	3.37859	−	0.992204i	0.459768	−	0.135022i
$55$	−0.159973	−	0.951098i	−0.0215708	−	0.128246i
$56$	4.02569	−	6.97270i	0.537955	−	0.931766i
$57$	8.78473	−	5.80465i	1.16357	−	0.768845i
$58$	0.117568	−	1.11858i	0.0154374	−	0.146877i
$59$	−13.3141	−	5.92783i	−1.73335	−	0.771737i	−0.995283	−	0.0970106i	$-0.969072\pi$
$59$	−13.3141	−	5.92783i	−1.73335	−	0.771737i	−0.738067	−	0.674727i	$-0.764261\pi$
$60$	0.417475	−	0.654180i	0.0538958	−	0.0844543i
$61$	2.58227	+	2.86790i	0.330626	+	0.367197i	0.885421	−	0.464790i	$-0.153870\pi$
$61$	2.58227	+	2.86790i	0.330626	+	0.367197i	−0.554795	+	0.831987i	$0.687203\pi$
$62$	−1.07621	+	0.781913i	−0.136679	+	0.0993031i
$63$	−5.78672	+	8.23696i	−0.729059	+	1.03776i
$64$	0.311959	+	0.960112i	0.0389949	+	0.120014i
$65$	−0.608737	+	1.05436i	−0.0755046	+	0.130778i
$66$	−3.18901	−	2.23271i	−0.392539	−	0.274828i
$67$	4.46764	+	7.73818i	0.545809	+	0.945369i	0.998556	+	0.0537300i	$0.0171110\pi$
$67$	4.46764	+	7.73818i	0.545809	+	0.945369i	−0.452746	+	0.891639i	$0.649556\pi$
$68$	−3.59116	+	3.98839i	−0.435492	+	0.483663i
$69$	11.4315	−	1.90383i	1.37620	−	0.229194i
$70$	−0.0691185	−	0.657619i	−0.00826124	−	0.0786005i
$71$	−3.43882	+	10.5836i	−0.408113	+	1.25604i	0.510155	+	0.860082i	$0.329588\pi$
$71$	−3.43882	+	10.5836i	−0.408113	+	1.25604i	−0.918268	+	0.395959i	$0.870412\pi$
$72$	−1.60836	−	7.01642i	−0.189547	−	0.826893i
$73$	−1.01830	+	0.739838i	−0.119183	+	0.0865915i	−0.645780	−	0.763524i	$-0.723468\pi$
$73$	−1.01830	+	0.739838i	−0.119183	+	0.0865915i	0.526597	+	0.850115i	$0.323468\pi$
$74$	−1.57029	+	0.699137i	−0.182542	+	0.0812730i
$75$	0.513136	+	8.49831i	0.0592519	+	0.981300i
$76$	−4.68321	−	8.11157i	−0.537202	−	0.930460i
$77$	11.1076	−	0.688649i	1.26583	−	0.0784789i
$78$	1.30957	+	4.73648i	0.148280	+	0.536300i
$79$	−2.06109	−	0.438098i	−0.231890	−	0.0492898i	0.0905007	−	0.995896i	$-0.471153\pi$
$79$	−2.06109	−	0.438098i	−0.231890	−	0.0492898i	−0.322391	+	0.946607i	$0.604487\pi$
$80$	−0.342415	−	0.248779i	−0.0382832	−	0.0278143i
$81$	1.22479	+	8.91627i	0.136088	+	0.990697i
$82$	−1.35831	+	4.18046i	−0.150001	+	0.461654i
$83$	6.27328	+	6.96718i	0.688582	+	0.764748i	0.981515	−	0.191385i	$-0.0612980\pi$
$83$	6.27328	+	6.96718i	0.688582	+	0.764748i	−0.292933	+	0.956133i	$0.594631\pi$
$84$	7.00371	+	5.57991i	0.764167	+	0.608818i
$85$	−0.105879	+	1.00737i	−0.0114842	+	0.109264i
$86$	0.0224892	−	0.0249768i	0.00242507	−	0.00269332i
$87$	2.78260	+	0.721943i	0.298326	+	0.0774004i
$88$	−4.94886	+	6.23222i	−0.527551	+	0.664357i
$89$	−8.41413			−0.891896			−0.445948	−	0.895059i	$-0.647133\pi$
$89$	−8.41413			−0.891896			−0.445948	+	0.895059i	$0.647133\pi$
$90$	−0.445570	−	0.388548i	−0.0469672	−	0.0409566i
$91$	−11.3654	−	8.25748i	−1.19142	−	0.865619i
$92$	−1.07760	−	10.2526i	−0.112347	−	1.06891i
$93$	−1.56761	−	3.01709i	−0.162554	−	0.312857i
$94$	−0.894469	+	0.190125i	−0.0922574	+	0.0196099i
$95$	−1.61493	−	0.719014i	−0.165689	−	0.0737693i
$96$	−9.88424	+	1.64614i	−1.00881	+	0.168009i
$97$	−0.961993	−	0.204478i	−0.0976755	−	0.0207616i	0.158815	−	0.987308i	$-0.449233\pi$
$97$	−0.961993	−	0.204478i	−0.0976755	−	0.0207616i	−0.256490	+	0.966547i	$0.582566\pi$
$98$	2.88640			0.291570
$99$	6.85427	−	7.21242i	0.688880	−	0.724875i
$100$	7.57354			0.757354
$101$	3.82616	+	0.813276i	0.380717	+	0.0809239i	0.394295	−	0.918984i	$-0.370989\pi$
$101$	3.82616	+	0.813276i	0.380717	+	0.0809239i	−0.0135779	+	0.999908i	$0.504322\pi$
$102$	2.59816	+	3.15682i	0.257256	+	0.312572i
$103$	14.1256	+	6.28910i	1.39183	+	0.619683i	0.959417	−	0.281991i	$-0.0909949\pi$
$103$	14.1256	+	6.28910i	1.39183	+	0.619683i	0.432415	+	0.901675i	$0.357662\pi$
$104$	9.82635	−	2.08865i	0.963553	−	0.204809i
$105$	1.68840	+	0.0750344i	0.164771	+	0.00732261i
$106$	0.133005	+	1.26546i	0.0129186	+	0.122912i
$107$	−5.06806	−	3.68216i	−0.489948	−	0.355968i	0.315217	−	0.949020i	$-0.397923\pi$
$107$	−5.06806	−	3.68216i	−0.489948	−	0.355968i	−0.805164	+	0.593052i	$0.797923\pi$
$108$	7.98282	−	0.609499i	0.768147	−	0.0586490i
$109$	3.09153			0.296115			0.148057	−	0.988979i	$-0.452698\pi$
$109$	3.09153			0.296115			0.148057	+	0.988979i	$0.452698\pi$
$110$	−0.0279653	+	0.652984i	−0.00266639	+	0.0622596i
$111$	−1.17076	−	4.23444i	−0.111124	−	0.401915i
$112$	3.26795	−	3.62942i	0.308792	−	0.342948i
$113$	−1.66661	+	15.8568i	−0.156782	+	1.49168i	0.579482	+	0.814985i	$0.303255\pi$
$113$	−1.66661	+	15.8568i	−0.156782	+	1.49168i	−0.736264	+	0.676694i	$0.763412\pi$
$114$	−6.64090	+	2.60995i	−0.621977	+	0.244444i
$115$	−1.30191	−	1.44592i	−0.121404	−	0.134833i
$116$	0.790234	−	2.43209i	0.0733714	−	0.225814i
$117$	−12.4689	+	1.51128i	−1.15275	+	0.139718i
$118$	7.99020	+	5.80522i	0.735557	+	0.534414i
$119$	−11.4327	−	2.43009i	−1.04803	−	0.222766i
$120$	−0.847750	+	0.861333i	−0.0773886	+	0.0786286i
$121$	−10.9597	−	0.940469i	−0.996338	−	0.0854971i
$122$	−1.30761	−	2.26485i	−0.118385	−	0.205050i
$123$	−10.0504	−	5.02072i	−0.906214	−	0.452703i
$124$	−2.76305	+	1.23019i	−0.248129	+	0.110474i
$125$	2.33269	−	1.69480i	0.208642	−	0.151587i
$126$	4.99634	−	4.64463i	0.445109	−	0.413777i
$127$	−5.71869	+	17.6003i	−0.507452	+	1.56178i	0.289157	+	0.957282i	$0.406625\pi$
$127$	−5.71869	+	17.6003i	−0.507452	+	1.56178i	−0.796609	+	0.604495i	$0.793375\pi$
$128$	1.13794	+	10.8268i	0.100581	+	0.956961i
$129$	0.0545891	+	0.0663271i	0.00480631	+	0.00583977i
$130$	0.552062	−	0.613127i	0.0484191	−	0.0537748i
$131$	0.432321	+	0.748803i	0.0377721	+	0.0654232i	0.884293	−	0.466932i	$-0.154641\pi$
$131$	0.432321	+	0.748803i	0.0377721	+	0.0654232i	−0.846521	+	0.532355i	$0.821307\pi$
$132$	−6.03673	−	6.47290i	−0.525430	−	0.563394i
$133$	10.1991	−	17.6654i	0.884377	−	1.53179i
$134$	−1.87115	−	5.75880i	−0.161643	−	0.497485i
$135$	1.15127	−	0.978638i	0.0990859	−	0.0842278i
$136$	6.76176	−	4.91270i	0.579816	−	0.421261i
$137$	−8.28261	−	9.19877i	−0.707631	−	0.785904i	0.276940	−	0.960887i	$-0.410680\pi$
$137$	−8.28261	−	9.19877i	−0.707631	−	0.785904i	−0.984571	+	0.174983i	$0.944013\pi$
$138$	−7.84575	−	0.348675i	−0.667875	−	0.0296812i
$139$	−0.608393	−	0.270874i	−0.0516032	−	0.0229752i	0.380773	−	0.924669i	$-0.375658\pi$
$139$	−0.608393	−	0.270874i	−0.0516032	−	0.0229752i	−0.432376	+	0.901693i	$0.642325\pi$
$140$	0.157150	−	1.49518i	0.0132816	−	0.126366i
$141$	−0.140868	−	2.33299i	−0.0118633	−	0.196474i
$142$	3.77063	−	6.53093i	0.316425	−	0.548063i
$143$	9.91212	+	9.72441i	0.828893	+	0.813196i
$144$	−0.0694052	−	4.36591i	−0.00578377	−	0.363826i
$145$	−0.149144	−	0.459018i	−0.0123857	−	0.0381194i
$146$	0.779230	−	0.346936i	0.0644895	−	0.0287126i
$147$	−1.09612	+	7.29545i	−0.0904065	+	0.601718i
$148$	−3.82272	+	0.812544i	−0.314225	+	0.0667907i
$149$	11.7898	−	2.50601i	0.965862	−	0.205300i	0.302127	−	0.953268i	$-0.402303\pi$
$149$	11.7898	−	2.50601i	0.965862	−	0.205300i	0.663735	+	0.747968i	$0.268970\pi$
$150$	0.857234	−	5.70549i	0.0699929	−	0.465851i
$151$	18.7322	−	8.34010i	1.52440	−	0.678708i	0.537984	−	0.842955i	$-0.319186\pi$
$151$	18.7322	−	8.34010i	1.52440	−	0.678708i	0.986419	+	0.164247i	$0.0525195\pi$
$152$	4.50749	+	13.8726i	0.365606	+	1.12522i
$153$	−8.96561	+	5.36810i	−0.724827	+	0.433985i
$154$	−7.45979	−	1.10853i	−0.601127	−	0.0893276i
$155$	−0.285417	+	0.494356i	−0.0229252	+	0.0397076i
$156$	0.673411	+	11.1527i	0.0539160	+	0.892931i
$157$	0.883813	−	8.40892i	0.0705359	−	0.671105i	−0.900936	−	0.433951i	$-0.857119\pi$
$157$	0.883813	−	8.40892i	0.0705359	−	0.671105i	0.971472	−	0.237153i	$-0.0762143\pi$
$158$	1.30449	+	0.580795i	0.103779	+	0.0462056i
$159$	−3.24899	−	0.144389i	−0.257662	−	0.0114508i
$160$	1.12570	+	1.25021i	0.0889941	+	0.0988380i
$161$	18.1634	−	13.1965i	1.43148	−	1.04003i
$162$	0.444397	−	6.08281i	0.0349151	−	0.477910i
$163$	−7.19179	−	22.1341i	−0.563305	−	1.73367i	−0.672935	−	0.739702i	$-0.734967\pi$
$163$	−7.19179	−	22.1341i	−0.563305	−	1.73367i	0.109630	−	0.993972i	$-0.465033\pi$
$164$	−4.99697	+	8.65500i	−0.390198	+	0.675842i
$165$	−1.63981	−	0.318656i	−0.127659	−	0.0248074i
$166$	−3.17666	−	5.50214i	−0.246557	−	0.427049i
$167$	−13.0998	+	14.5488i	−1.01369	+	1.12582i	−0.0216686	+	0.999765i	$0.506898\pi$
$167$	−13.0998	+	14.5488i	−1.01369	+	1.12582i	−0.992023	+	0.126054i	$0.959769\pi$
$168$	−8.86198	−	10.7675i	−0.683717	−	0.830732i
$169$	−0.473364	−	4.50376i	−0.0364126	−	0.346443i
$170$	0.212116	−	0.652827i	0.0162686	−	0.0500695i
$171$	−4.07480	−	17.7762i	−0.311608	−	1.35938i
$172$	0.0618215	−	0.0449160i	0.00471385	−	0.00342481i
$173$	16.3618	−	7.28473i	1.24396	−	0.553848i	0.324075	−	0.946031i	$-0.394947\pi$
$173$	16.3618	−	7.28473i	1.24396	−	0.553848i	0.919887	+	0.392184i	$0.128280\pi$
$174$	−1.74276	−	0.870603i	−0.132118	−	0.0660002i
$175$	8.24685	+	14.2840i	0.623403	+	1.07977i
$176$	−3.72231	+	3.07364i	−0.280580	+	0.231685i
$177$	−17.7071	+	17.9909i	−1.33095	+	1.35228i
$178$	5.57739	+	1.18551i	0.418043	+	0.0888578i
$179$	−7.64476	−	5.55424i	−0.571396	−	0.415143i	0.264216	−	0.964463i	$-0.414887\pi$
$179$	−7.64476	−	5.55424i	−0.571396	−	0.415143i	−0.835612	+	0.549320i	$0.814887\pi$
$180$	−0.807250	−	1.07474i	−0.0601689	−	0.0801061i
$181$	3.42385	−	10.5375i	0.254492	−	0.783247i	−0.739437	−	0.673226i	$-0.764908\pi$
$181$	3.42385	−	10.5375i	0.254492	−	0.783247i	0.993929	−	0.110021i	$-0.0350919\pi$
$182$	6.37026	+	7.07489i	0.472195	+	0.524426i
$183$	6.22103	−	2.44493i	0.459872	−	0.180735i
$184$	−1.67816	+	15.9666i	−0.123716	+	1.17708i
$185$	−0.493547	+	0.548140i	−0.0362863	+	0.0403000i
$186$	0.614014	+	2.22078i	0.0450217	+	0.162835i
$187$	10.8245	+	4.03683i	0.791563	+	0.295203i
$188$	−2.07912			−0.151636
$189$	9.84205	+	14.3922i	0.715904	+	1.04688i
$190$	0.969169	+	0.704142i	0.0703109	+	0.0510838i
$191$	0.474266	+	4.51234i	0.0343167	+	0.326501i	0.998190	+	0.0601400i	$0.0191547\pi$
$191$	0.474266	+	4.51234i	0.0343167	+	0.326501i	−0.963873	+	0.266361i	$0.914179\pi$
$192$	1.74682	+	0.0776308i	0.126066	+	0.00560252i
$193$	−13.2036	+	2.80651i	−0.950414	+	0.202017i	−0.656934	−	0.753948i	$-0.728147\pi$
$193$	−13.2036	+	2.80651i	−0.950414	+	0.202017i	−0.293481	+	0.955965i	$0.594814\pi$
$194$	0.608856	+	0.271080i	0.0437133	+	0.0194624i
$195$	1.34005	+	1.62819i	0.0959628	+	0.116597i
$196$	6.41918	+	1.36444i	0.458513	+	0.0974599i
$197$	1.70047			0.121153			0.0605766	−	0.998164i	$-0.480706\pi$
$197$	1.70047			0.121153			0.0605766	+	0.998164i	$0.480706\pi$
$198$	−5.55962	+	3.81509i	−0.395105	+	0.271126i
$199$	−10.1442			−0.719105			−0.359552	−	0.933125i	$-0.617071\pi$
$199$	−10.1442			−0.719105			−0.359552	+	0.933125i	$0.617071\pi$
$200$	−11.5367	−	2.45220i	−0.815767	−	0.173397i
$201$	15.2661	−	2.54245i	1.07679	−	0.179330i
$202$	−2.42162	−	1.07818i	−0.170385	−	0.0758602i
$203$	5.44750	−	1.15790i	0.382339	−	0.0812687i
$204$	4.28588	+	8.24877i	0.300071	+	0.577530i
$205$	0.197161	+	1.87586i	0.0137703	+	0.131016i
$206$	−8.47716	−	6.15902i	−0.590632	−	0.429119i
$207$	3.86074	−	19.6979i	0.268340	−	1.36910i
$208$	6.09371			0.422523
$209$	−12.5380	+	15.7894i	−0.867272	+	1.09218i
$210$	−1.10860	−	0.287624i	−0.0765006	−	0.0198480i
$211$	−7.14322	+	7.93335i	−0.491759	+	0.546154i	−0.937033	−	0.349240i	$-0.886440\pi$
$211$	−7.14322	+	7.93335i	−0.491759	+	0.546154i	0.445274	+	0.895394i	$0.353106\pi$
$212$	−0.302404	+	2.87718i	−0.0207692	+	0.197606i
$213$	15.0752	+	12.0105i	1.03293	+	0.822948i
$214$	2.84061	+	3.15482i	0.194180	+	0.215659i
$215$	0.00445671	−	0.0137164i	0.000303945	−	0.000935448i
$216$	−12.3575	−	1.65627i	−0.840821	−	0.112695i
$217$	−5.32888	−	3.87166i	−0.361748	−	0.262825i
$218$	−2.04925	−	0.435582i	−0.138793	−	0.0295013i
$219$	0.580973	+	2.10128i	0.0392585	+	0.141991i
$220$	−0.370868	+	1.43898i	−0.0250039	+	0.0970159i
$221$	−7.29173	−	12.6296i	−0.490495	−	0.849562i
$222$	0.179440	+	2.97180i	0.0120432	+	0.199454i
$223$	2.59208	−	1.15407i	0.173579	−	0.0772822i	−0.318108	−	0.948055i	$-0.603047\pi$
$223$	2.59208	−	1.15407i	0.173579	−	0.0772822i	0.491686	+	0.870772i	$0.336381\pi$
$224$	−15.7050	+	11.4103i	−1.04933	+	0.762385i
$225$	14.0952	+	4.33336i	0.939683	+	0.288891i
$226$	3.33887	−	10.2760i	0.222099	−	0.683549i
$227$	−0.677958	−	6.45034i	−0.0449977	−	0.428124i	−0.993710	−	0.111984i	$-0.964280\pi$
$227$	−0.677958	−	6.45034i	−0.0449977	−	0.428124i	0.948712	−	0.316141i	$-0.102387\pi$
$228$	−16.0027	+	2.66513i	−1.05981	+	0.176502i
$229$	−17.1567	+	19.0545i	−1.13375	+	1.25916i	−0.172038	+	0.985090i	$0.555035\pi$
$229$	−17.1567	+	19.0545i	−1.13375	+	1.25916i	−0.961711	+	0.274066i	$0.911631\pi$
$230$	0.659263	+	1.14188i	0.0434705	+	0.0752932i
$231$	5.63471	−	18.4339i	0.370737	−	1.21286i
$232$	−1.99123	+	3.44891i	−0.130731	+	0.226432i
$233$	−0.200825	−	0.618075i	−0.0131565	−	0.0404914i	0.944263	−	0.329193i	$-0.106777\pi$
$233$	−0.200825	−	0.618075i	−0.0131565	−	0.0404914i	−0.957419	+	0.288701i	$0.906777\pi$
$234$	8.47806	+	0.755042i	0.554228	+	0.0493586i
$235$	−0.317459	+	0.230647i	−0.0207087	+	0.0150458i
$236$	15.0255	+	16.6875i	0.978078	+	1.08627i
$237$	−1.96336	+	3.07657i	−0.127534	+	0.199844i
$238$	7.23587	+	3.22162i	0.469032	+	0.208826i
$239$	1.77015	−	16.8418i	0.114501	−	1.08941i	−0.774839	−	0.632159i	$-0.782169\pi$
$239$	1.77015	−	16.8418i	0.114501	−	1.08941i	0.889340	−	0.457247i	$-0.151164\pi$
$240$	−0.611626	+	0.404142i	−0.0394803	+	0.0260872i
$241$	−12.2496	+	21.2170i	−0.789069	+	1.36671i	0.137469	+	0.990506i	$0.456103\pi$
$241$	−12.2496	+	21.2170i	−0.789069	+	1.36671i	−0.926538	+	0.376201i	$0.877230\pi$
$242$	7.13225	+	2.16757i	0.458479	+	0.139337i
$243$	15.2057	+	3.43319i	0.975446	+	0.220240i
$244$	−1.83742	−	5.65501i	−0.117629	−	0.362025i
$245$	1.13150	−	0.503777i	0.0722890	−	0.0321852i
$246$	5.95461	+	4.74409i	0.379652	+	0.302472i
$247$	24.8952	−	5.29163i	1.58404	−	0.336699i
$248$	4.60725	−	0.979301i	0.292560	−	0.0621856i
$249$	15.1132	−	5.93964i	0.957758	−	0.376409i
$250$	−1.78503	+	0.794748i	−0.112895	+	0.0502643i
$251$	5.52245	+	16.9964i	0.348574	+	1.07280i	0.959642	+	0.281223i	$0.0907401\pi$
$251$	5.52245	+	16.9964i	0.348574	+	1.07280i	−0.611068	+	0.791578i	$0.709260\pi$
$252$	13.3071	−	7.96755i	0.838271	−	0.501909i
$253$	−19.6753	+	10.2631i	−1.23698	+	0.645238i
$254$	6.27050	−	10.8608i	0.393446	−	0.681468i
$255$	1.56948	+	0.784043i	0.0982849	+	0.0490987i
$256$	0.982194	−	9.34495i	0.0613871	−	0.584060i
$257$	−1.13896	−	0.507099i	−0.0710466	−	0.0316320i	0.370906	−	0.928671i	$-0.379047\pi$
$257$	−1.13896	−	0.507099i	−0.0710466	−	0.0316320i	−0.441952	+	0.897039i	$0.645714\pi$
$258$	−0.0268398	−	0.0516569i	−0.00167097	−	0.00321602i
$259$	−5.69506	−	6.32500i	−0.353874	−	0.393016i
$260$	1.51759	−	1.10259i	0.0941168	−	0.0683799i
$261$	2.86229	−	4.07425i	0.177171	−	0.252190i
$262$	−0.181066	−	0.557263i	−0.0111863	−	0.0344278i
$263$	8.39035	−	14.5325i	0.517371	−	0.896113i	−0.482425	−	0.875937i	$-0.660244\pi$
$263$	8.39035	−	14.5325i	0.517371	−	0.896113i	0.999796	−	0.0201758i	$-0.00642261\pi$
$264$	7.09986	+	11.8147i	0.436966	+	0.727145i
$265$	0.273006	+	0.472861i	0.0167707	+	0.0290476i
$266$	−9.24957	+	10.2727i	−0.567128	+	0.629859i
$267$	−5.11445	+	13.6468i	−0.312999	+	0.835170i
$268$	−1.43906	−	13.6918i	−0.0879047	−	0.836357i
$269$	6.78920	−	20.8950i	0.413945	−	1.27399i	−0.499247	−	0.866460i	$-0.666390\pi$
$269$	6.78920	−	20.8950i	0.413945	−	1.27399i	0.913191	−	0.407531i	$-0.133610\pi$
$270$	−0.901019	+	0.486491i	−0.0548343	+	0.0296069i
$271$	−8.17780	+	5.94152i	−0.496766	+	0.360922i	−0.807780	−	0.589483i	$-0.799331\pi$
$271$	−8.17780	+	5.94152i	−0.496766	+	0.360922i	0.311014	+	0.950405i	$0.399331\pi$
$272$	4.63155	−	2.06210i	0.280829	−	0.125033i
$273$	−20.3011	+	13.4143i	−1.22868	+	0.811870i
$274$	4.19415	+	7.26448i	0.253378	+	0.438863i
$275$	−5.98757	−	15.1633i	−0.361064	−	0.914382i
$276$	−17.2837	−	4.48422i	−1.04035	−	0.269919i
$277$	−7.60325	−	1.61612i	−0.456835	−	0.0971032i	−0.0262540	−	0.999655i	$-0.508358\pi$
$277$	−7.60325	−	1.61612i	−0.456835	−	0.0971032i	−0.430581	+	0.902552i	$0.641691\pi$
$278$	0.365115	+	0.265271i	0.0218981	+	0.0159099i
$279$	−5.84625	+	0.708587i	−0.350006	+	0.0424220i
$280$	−0.723501	+	2.22671i	−0.0432375	+	0.133071i
$281$	−21.6065	−	23.9964i	−1.28894	−	1.43151i	−0.844370	−	0.535761i	$-0.820025\pi$
$281$	−21.6065	−	23.9964i	−1.28894	−	1.43151i	−0.444566	−	0.895746i	$-0.646642\pi$
$282$	−0.235332	+	1.56630i	−0.0140138	+	0.0932716i
$283$	1.30902	−	12.4544i	0.0778129	−	0.740340i	−0.884158	−	0.467188i	$-0.845267\pi$
$283$	1.30902	−	12.4544i	0.0778129	−	0.740340i	0.961971	−	0.273152i	$-0.0880662\pi$
$284$	11.4729	−	12.7420i	0.680793	−	0.756097i
$285$	−2.14778	+	2.18220i	−0.127224	+	0.129262i
$286$	−5.20023	−	7.84249i	−0.307496	−	0.463736i
$287$	−21.7649			−1.28474
$288$	−3.33818	+	17.0318i	−0.196704	+	1.00361i
$289$	3.93734	+	2.86064i	0.231608	+	0.168273i
$290$	0.0341881	+	0.325278i	0.00200760	+	0.0191010i
$291$	−0.916379	+	1.43596i	−0.0537191	+	0.0841773i
$292$	1.89696	−	0.403212i	0.111011	−	0.0235962i
$293$	−16.7950	−	7.47760i	−0.981172	−	0.436846i	−0.147474	−	0.989066i	$-0.547114\pi$
$293$	−16.7950	−	7.47760i	−0.981172	−	0.436846i	−0.833698	+	0.552220i	$0.813781\pi$
$294$	1.75447	−	4.68142i	0.102323	−	0.273026i
$295$	4.14547	+	0.881146i	0.241358	+	0.0513023i
$296$	6.08619			0.353753
$297$	−7.53145	−	15.5009i	−0.437019	−	0.899452i
$298$	−8.16810			−0.473166
$299$	27.4007	+	5.82421i	1.58463	+	0.336823i
$300$	4.60350	−	12.2834i	0.265783	−	0.709185i
$301$	0.152031	+	0.0676885i	0.00876291	+	0.00390150i
$302$	−13.5919	+	2.88905i	−0.782126	+	0.166246i
$303$	3.64474	−	5.71127i	0.209385	−	0.328104i
$304$	0.924870	+	8.79955i	0.0530449	+	0.504689i
$305$	−0.907894	−	0.659624i	−0.0519859	−	0.0377699i
$306$	6.69929	−	2.29508i	0.382973	−	0.131201i
$307$	8.42389			0.480777			0.240388	−	0.970677i	$-0.422725\pi$
$307$	8.42389			0.480777			0.240388	+	0.970677i	$0.422725\pi$
$308$	−16.0661	−	5.99164i	−0.915452	−	0.341405i
$309$	18.7863	−	19.0873i	1.06872	−	1.08584i
$310$	0.258844	−	0.287475i	0.0147013	−	0.0163275i
$311$	−1.18152	+	11.2414i	−0.0669980	+	0.637443i	0.908568	+	0.417737i	$0.137177\pi$
$311$	−1.18152	+	11.2414i	−0.0669980	+	0.637443i	−0.975566	+	0.219706i	$0.929490\pi$
$312$	2.58528	−	17.2068i	0.146363	−	0.974145i
$313$	4.08882	+	4.54109i	0.231114	+	0.256678i	0.847536	−	0.530738i	$-0.178085\pi$
$313$	4.08882	+	4.54109i	0.231114	+	0.256678i	−0.616422	+	0.787416i	$0.711419\pi$
$314$	−1.77062	+	5.44941i	−0.0999219	+	0.307528i
$315$	1.14797	−	2.69279i	0.0646810	−	0.151721i
$316$	2.62655	+	1.90830i	0.147755	+	0.107350i
$317$	0.810469	+	0.172271i	0.0455205	+	0.00967568i	0.230616	−	0.973045i	$-0.425926\pi$
$317$	0.810469	+	0.172271i	0.0455205	+	0.00967568i	−0.185095	+	0.982721i	$0.559259\pi$
$318$	2.13328	+	0.553477i	0.119629	+	0.0310375i
$319$	−5.49414	+	0.340627i	−0.307613	+	0.0190715i
$320$	−0.146782	−	0.254234i	−0.00820535	−	0.0142121i
$321$	−9.05263	+	5.98167i	−0.505269	+	0.333864i
$322$	−13.8991	+	6.18830i	−0.774569	+	0.344860i
$323$	17.1310	−	12.4464i	0.953194	−	0.692536i
$324$	3.86374	−	13.3177i	0.214652	−	0.739874i
$325$	−6.35942	+	19.5723i	−0.352757	+	1.08568i
$326$	1.64857	+	15.6851i	0.0913058	+	0.868716i
$327$	1.87915	−	5.01412i	0.103918	−	0.277282i
$328$	10.4142	−	11.5661i	0.575028	−	0.638633i
$329$	−2.26396	−	3.92130i	−0.124816	−	0.216188i
$330$	1.04207	+	0.442267i	0.0573641	+	0.0243460i
$331$	−4.09227	+	7.08802i	−0.224931	+	0.389593i	−0.956299	−	0.292391i	$-0.905549\pi$
$331$	−4.09227	+	7.08802i	−0.224931	+	0.389593i	0.731367	+	0.681984i	$0.238882\pi$
$332$	−4.46378	−	13.7381i	−0.244982	−	0.753976i
$333$	−7.57944	−	0.675012i	−0.415351	−	0.0369905i
$334$	10.7332	−	7.79811i	0.587294	−	0.426694i
$335$	−1.73862	−	1.93094i	−0.0949912	−	0.105498i
$336$	−3.90014	−	7.50636i	−0.212770	−	0.409506i
$337$	−2.28829	−	1.01881i	−0.124651	−	0.0554983i	0.343463	−	0.939166i	$-0.388400\pi$
$337$	−2.28829	−	1.01881i	−0.124651	−	0.0554983i	−0.468115	+	0.883668i	$0.655067\pi$
$338$	−0.320784	+	3.05205i	−0.0174483	+	0.166010i
$339$	24.7049	+	12.3414i	1.34179	+	0.670295i
$340$	0.780334	−	1.35158i	0.0423195	−	0.0732996i
$341$	4.64746	+	4.55945i	0.251674	+	0.246908i
$342$	0.196444	+	12.3572i	0.0106225	+	0.668203i
$343$	−2.84184	−	8.74627i	−0.153445	−	0.472254i
$344$	−0.108715	+	0.0484031i	−0.00586153	+	0.00260972i
$345$	−3.13648	+	1.23267i	−0.168863	+	0.0663649i
$346$	−11.8719	+	2.52346i	−0.638240	+	0.135662i
$347$	30.8375	−	6.55471i	1.65544	−	0.351875i	0.716937	−	0.697138i	$-0.245544\pi$
$347$	30.8375	−	6.55471i	1.65544	−	0.351875i	0.938506	+	0.345263i	$0.112210\pi$
$348$	−3.46425	−	2.76000i	−0.185703	−	0.147951i
$349$	−7.99528	+	3.55973i	−0.427978	+	0.190548i	−0.609410	−	0.792856i	$-0.708593\pi$
$349$	−7.99528	+	3.55973i	−0.427978	+	0.190548i	0.181432	+	0.983404i	$0.441927\pi$
$350$	−3.45396	−	10.6302i	−0.184622	−	0.568209i
$351$	−5.12796	+	21.1418i	−0.273711	+	1.12847i
$352$	17.0122	−	8.87400i	0.906753	−	0.472986i
$353$	−0.219931	+	0.380932i	−0.0117058	+	0.0202750i	−0.871819	−	0.489828i	$-0.837059\pi$
$353$	−0.219931	+	0.380932i	−0.0117058	+	0.0202750i	0.860113	+	0.510103i	$0.170393\pi$
$354$	14.2722	−	9.43058i	0.758558	−	0.501230i
$355$	0.338258	−	3.21831i	0.0179529	−	0.170810i
$356$	11.8434	+	5.27301i	0.627698	+	0.279469i
$357$	−10.8906	+	17.0654i	−0.576390	+	0.903198i
$358$	4.28484	+	4.75879i	0.226461	+	0.251510i
$359$	−13.5414	+	9.83842i	−0.714689	+	0.519252i	−0.884683	−	0.466193i	$-0.845625\pi$
$359$	−13.5414	+	9.83842i	−0.714689	+	0.519252i	0.169994	+	0.985445i	$0.445625\pi$
$360$	0.881693	+	1.89851i	0.0464693	+	0.100060i
$361$	5.54845	+	17.0764i	0.292024	+	0.898757i
$362$	−3.75422	+	6.50249i	−0.197317	+	0.341763i
$363$	−8.18710	+	17.2038i	−0.429711	+	0.902966i
$364$	10.8227	+	18.7455i	0.567263	+	0.982529i
$365$	0.244915	−	0.272006i	0.0128194	−	0.0142374i
$366$	−4.46815	+	0.744136i	−0.233554	+	0.0388966i
$367$	1.54167	+	14.6680i	0.0804744	+	0.765662i	0.958123	+	0.286357i	$0.0924445\pi$
$367$	1.54167	+	14.6680i	0.0804744	+	0.765662i	−0.877648	+	0.479305i	$0.840889\pi$
$368$	−3.00937	+	9.26189i	−0.156874	+	0.482809i
$369$	−14.2521	+	13.2489i	−0.741934	+	0.689708i
$370$	0.404383	−	0.293802i	0.0210229	−	0.0152740i
$371$	−5.75575	+	2.56263i	−0.298824	+	0.133045i
$372$	0.315740	+	5.22913i	0.0163703	+	0.271118i
$373$	−11.8254	−	20.4822i	−0.612296	−	1.06053i	−0.990852	−	0.134950i	$-0.956913\pi$
$373$	−11.8254	−	20.4822i	−0.612296	−	1.06053i	0.378556	−	0.925578i	$-0.376421\pi$
$374$	−6.60633	−	4.20097i	−0.341605	−	0.217227i
$375$	−1.33087	−	4.81353i	−0.0687260	−	0.248569i
$376$	3.16710	+	0.673189i	0.163331	+	0.0347171i
$377$	5.62170	+	4.08440i	0.289532	+	0.210358i
$378$	−4.49611	−	10.9267i	−0.231255	−	0.562009i
$379$	−3.54647	+	10.9149i	−0.182170	+	0.560661i	−0.999888	−	0.0149573i	$-0.995239\pi$
$379$	−3.54647	+	10.9149i	−0.182170	+	0.560661i	0.817718	+	0.575619i	$0.195239\pi$
$380$	1.82252	+	2.02411i	0.0934932	+	0.103835i
$381$	25.0698	+	19.9733i	1.28436	+	1.02326i
$382$	0.321395	−	3.05787i	0.0164440	−	0.156454i
$383$	−5.30532	+	5.89215i	−0.271089	+	0.301075i	−0.863283	−	0.504721i	$-0.831595\pi$
$383$	−5.30532	+	5.89215i	−0.271089	+	0.301075i	0.592194	+	0.805796i	$0.298262\pi$
$384$	18.2515	+	4.73534i	0.931395	+	0.241649i
$385$	−3.11780	+	0.867439i	−0.158898	+	0.0442088i
$386$	9.14755			0.465598
$387$	0.140757	−	0.0482213i	0.00715507	−	0.00245123i
$388$	1.22592	+	0.890681i	0.0622366	+	0.0452175i
$389$	−0.946086	−	9.00141i	−0.0479685	−	0.456389i	−0.991972	−	0.126455i	$-0.959640\pi$
$389$	−0.946086	−	9.00141i	−0.0479685	−	0.456389i	0.944004	−	0.329934i	$-0.107027\pi$
$390$	−0.658860	−	1.26807i	−0.0333627	−	0.0642111i
$391$	22.7969	−	4.84564i	1.15289	−	0.245055i
$392$	−9.33648	−	4.15687i	−0.471564	−	0.209954i
$393$	1.47726	−	0.246026i	0.0745178	−	0.0124104i
$394$	−1.12717	−	0.239587i	−0.0567860	−	0.0120702i
$395$	0.612743			0.0308305
$396$	−14.1677	+	5.85643i	−0.711954	+	0.294296i
$397$	5.38182			0.270106			0.135053	−	0.990838i	$-0.456880\pi$
$397$	5.38182			0.270106			0.135053	+	0.990838i	$0.456880\pi$
$398$	6.72420	+	1.42927i	0.337054	+	0.0716430i
$399$	−22.4519	−	27.2796i	−1.12400	−	1.36569i
$400$	−6.53583	−	2.90994i	−0.326792	−	0.145497i
$401$	15.3259	−	3.25763i	0.765340	−	0.162678i	0.191329	−	0.981526i	$-0.438720\pi$
$401$	15.3259	−	3.25763i	0.765340	−	0.162678i	0.574011	+	0.818848i	$0.305387\pi$
$402$	−10.4775	−	0.465633i	−0.522570	−	0.0232237i
$403$	−0.859073	−	8.17354i	−0.0427935	−	0.407153i
$404$	−4.87588	−	3.54253i	−0.242584	−	0.176248i
$405$	−0.887454	−	2.46210i	−0.0440979	−	0.122343i
$406$	−3.77407			−0.187304
$407$	4.64904	+	7.01124i	0.230444	+	0.347534i
$408$	−3.85780	−	13.9530i	−0.190990	−	0.690775i
$409$	−15.2169	+	16.9001i	−0.752427	+	0.835655i	−0.990774	−	0.135525i	$-0.956728\pi$
$409$	−15.2169	+	16.9001i	−0.752427	+	0.835655i	0.238347	+	0.971180i	$0.423394\pi$
$410$	0.133610	−	1.27121i	0.00659853	−	0.0627808i
$411$	−19.9539	+	7.84211i	−0.984253	+	0.386823i
$412$	−15.9413	−	17.7046i	−0.785369	−	0.872241i
$413$	−15.1119	+	46.5098i	−0.743610	+	2.28860i
$414$	−5.33447	+	12.5130i	−0.262175	+	0.614981i
$415$	−2.20561	−	1.60247i	−0.108269	−	0.0786620i
$416$	−23.6920	−	5.03588i	−1.16159	−	0.246905i
$417$	−0.809134	+	0.822099i	−0.0396235	+	0.0402584i
$418$	10.5356	−	8.69962i	0.515313	−	0.425512i
$419$	19.5131	+	33.7978i	0.953279	+	1.65113i	0.738257	+	0.674519i	$0.235649\pi$
$419$	19.5131	+	33.7978i	0.953279	+	1.65113i	0.215022	+	0.976609i	$0.431018\pi$
$420$	−2.32950	−	1.16371i	−0.113668	−	0.0567832i
$421$	22.0964	−	9.83796i	1.07691	−	0.479473i	0.209882	−	0.977727i	$-0.432692\pi$
$421$	22.0964	−	9.83796i	1.07691	−	0.479473i	0.867031	+	0.498254i	$0.166025\pi$
$422$	5.85272	−	4.25225i	0.284906	−	0.206996i
$423$	−3.86949	−	1.18961i	−0.188141	−	0.0578411i
$424$	1.39224	−	4.28486i	0.0676130	−	0.208091i
$425$	1.78972	+	17.0280i	0.0868140	+	0.825980i
$426$	−8.30051	−	10.0853i	−0.402161	−	0.488635i
$427$	8.66478	−	9.62321i	0.419318	−	0.465700i
$428$	4.82603	+	8.35894i	0.233275	+	0.404044i
$429$	21.7969	−	10.1655i	1.05236	−	0.490795i
$430$	−0.00488675	+	0.00846409i	−0.000235660	+	0.000408175i
$431$	−3.78406	−	11.6461i	−0.182272	−	0.560975i	0.817619	−	0.575760i	$-0.195294\pi$
$431$	−3.78406	−	11.6461i	−0.182272	−	0.560975i	−0.999891	+	0.0147848i	$0.995294\pi$
$432$	−7.12322	−	2.54121i	−0.342716	−	0.122264i
$433$	5.76977	−	4.19198i	0.277277	−	0.201454i	−0.440452	−	0.897776i	$-0.645182\pi$
$433$	5.76977	−	4.19198i	0.277277	−	0.201454i	0.717729	+	0.696323i	$0.245182\pi$
$434$	2.98680	+	3.31718i	0.143371	+	0.159230i
$435$	−0.835133	−	0.0371143i	−0.0400416	−	0.00177950i
$436$	−4.35151	−	1.93742i	−0.208399	−	0.0927854i
$437$	−4.25165	+	40.4517i	−0.203384	+	1.93507i
$438$	−0.0890443	−	1.47471i	−0.00425470	−	0.0704643i
$439$	9.59720	−	16.6228i	0.458049	−	0.793365i	−0.540808	−	0.841146i	$-0.681882\pi$
$439$	9.59720	−	16.6228i	0.458049	−	0.793365i	0.998858	+	0.0477810i	$0.0152150\pi$
$440$	1.03086	−	2.07190i	0.0491443	−	0.0987740i
$441$	11.1662	+	6.21225i	0.531721	+	0.295822i
$442$	3.05394	+	9.39906i	0.145261	+	0.447068i
$443$	−8.81622	+	3.92523i	−0.418871	+	0.186493i	−0.605339	−	0.795968i	$-0.706963\pi$
$443$	−8.81622	+	3.92523i	−0.418871	+	0.186493i	0.186468	+	0.982461i	$0.440296\pi$
$444$	−1.00574	+	6.69393i	−0.0477305	+	0.317680i
$445$	2.39332	−	0.508715i	0.113454	−	0.0241154i
$446$	−1.88079	+	0.399775i	−0.0890581	+	0.0189299i
$447$	3.10187	−	20.6451i	0.146713	−	0.976480i
$448$	3.09458	−	1.37780i	0.146205	−	0.0650947i
$449$	−4.75324	−	14.6290i	−0.224319	−	0.690384i	−0.998360	−	0.0572479i	$-0.981767\pi$
$449$	−4.75324	−	14.6290i	−0.224319	−	0.690384i	0.774041	−	0.633136i	$-0.218233\pi$
$450$	−8.73262	−	4.85837i	−0.411660	−	0.229026i
$451$	21.2791	+	3.16208i	1.00199	+	0.148897i
$452$	12.2831	−	21.2749i	0.577747	−	1.00069i
$453$	−2.14057	−	35.4510i	−0.100573	−	1.66563i
$454$	−0.459431	+	4.37120i	−0.0215622	+	0.205150i
$455$	3.73204	+	1.66161i	0.174961	+	0.0778974i
$456$	25.2397	+	1.12168i	1.18196	+	0.0525277i
$457$	−12.7789	−	14.1924i	−0.597771	−	0.663892i	0.366002	−	0.930614i	$-0.380726\pi$
$457$	−12.7789	−	14.1924i	−0.597771	−	0.663892i	−0.963774	+	0.266722i	$0.914060\pi$
$458$	14.0572	−	10.2132i	0.656850	−	0.477229i
$459$	3.25680	+	17.8042i	0.152015	+	0.831028i
$460$	0.926382	+	2.85111i	0.0431928	+	0.132934i
$461$	−4.18590	+	7.25020i	−0.194957	+	0.337675i	−0.946886	−	0.321568i	$-0.895790\pi$
$461$	−4.18590	+	7.25020i	−0.194957	+	0.337675i	0.751929	+	0.659244i	$0.229123\pi$
$462$	−6.33227	+	11.4252i	−0.294604	+	0.531547i
$463$	−14.1298	−	24.4735i	−0.656665	−	1.13738i	−0.981474	−	0.191598i	$-0.938633\pi$
$463$	−14.1298	−	24.4735i	−0.656665	−	1.13738i	0.324808	−	0.945780i	$-0.394700\pi$
$464$	−1.61643	+	1.79522i	−0.0750407	+	0.0833412i
$465$	0.628304	+	0.763404i	0.0291369	+	0.0354020i
$466$	0.0460348	+	0.437992i	0.00213252	+	0.0202896i
$467$	−2.54138	+	7.82156i	−0.117601	+	0.361939i	−0.992481	−	0.122402i	$-0.960940\pi$
$467$	−2.54138	+	7.82156i	−0.117601	+	0.361939i	0.874880	+	0.484340i	$0.160940\pi$
$468$	18.4978	+	5.68686i	0.855061	+	0.262875i
$469$	24.2561	−	17.6231i	1.12004	−	0.813760i
$470$	0.242928	−	0.108159i	0.0112054	−	0.00498898i
$471$	−13.1011	−	6.54473i	−0.603668	−	0.301565i
$472$	−17.4850	−	30.2850i	−0.804815	−	1.39398i
$473$	−0.138804	−	0.0882654i	−0.00638220	−	0.00405845i
$474$	1.73491	−	1.76270i	0.0796868	−	0.0809637i
$475$	−29.2283	−	6.21268i	−1.34109	−	0.285057i
$476$	14.5693	+	10.5852i	0.667781	+	0.485171i
$477$	−2.20905	+	5.18174i	−0.101145	+	0.237256i
$478$	−3.54629	+	10.9144i	−0.162203	+	0.499211i
$479$	−20.3564	−	22.6081i	−0.930107	−	1.03299i	−0.999374	−	0.0353904i	$-0.988733\pi$
$479$	−20.3564	−	22.6081i	−0.930107	−	1.03299i	0.0692665	−	0.997598i	$-0.477934\pi$
$480$	2.71195	−	1.06583i	0.123783	−	0.0486481i
$481$	1.11004	−	10.5613i	0.0506135	−	0.481555i
$482$	11.1092	−	12.3380i	0.506009	−	0.561980i
$483$	−10.3628	−	37.4805i	−0.471525	−	1.70542i
$484$	14.8371	+	8.19207i	0.674413	+	0.372367i
$485$	0.285992			0.0129862
$486$	−9.59553	−	4.41814i	−0.435262	−	0.200411i
$487$	18.0324	+	13.1013i	0.817127	+	0.593678i	0.915888	−	0.401434i	$-0.131488\pi$
$487$	18.0324	+	13.1013i	0.817127	+	0.593678i	−0.0987610	+	0.995111i	$0.531488\pi$
$488$	0.967921	+	9.20915i	0.0438157	+	0.416879i
$489$	−40.2705	−	1.78967i	−1.82110	−	0.0809317i
$490$	−0.821007	+	0.174511i	−0.0370893	+	0.00788358i
$491$	−29.5677	−	13.1644i	−1.33437	−	0.594100i	−0.389343	−	0.921093i	$-0.627298\pi$
$491$	−29.5677	−	13.1644i	−1.33437	−	0.594100i	−0.945027	+	0.326993i	$0.893965\pi$
$492$	11.0001	+	13.3654i	0.495923	+	0.602559i
$493$	5.65495	+	1.20200i	0.254686	+	0.0541352i
$494$	−17.2476			−0.776005
$495$	−1.51357	+	2.46591i	−0.0680300	+	0.110834i
$496$	2.85714			0.128289
$497$	36.5247	+	7.76357i	1.63836	+	0.348244i
$498$	−10.8548	+	1.80778i	−0.486414	+	0.0810085i
$499$	0.239143	+	0.106473i	0.0107055	+	0.00476639i	0.412082	−	0.911147i	$-0.364802\pi$
$499$	0.239143	+	0.106473i	0.0107055	+	0.00476639i	−0.401377	+	0.915913i	$0.631468\pi$
$500$	−4.34550	+	0.923664i	−0.194337	+	0.0413075i
$501$	15.6340	+	30.0898i	0.698474	+	1.34431i
$502$	−1.26591	−	12.0443i	−0.0565002	−	0.537563i
$503$	14.5976	+	10.6058i	0.650875	+	0.472888i	0.863569	−	0.504231i	$-0.168224\pi$
$503$	14.5976	+	10.6058i	0.650875	+	0.472888i	−0.212694	+	0.977119i	$0.568224\pi$
$504$	−22.8504	+	7.82824i	−1.01784	+	0.348697i
$505$	−1.13748			−0.0506174
$506$	14.4880	−	4.03087i	0.644071	−	0.179194i
$507$	−7.59233	−	1.96982i	−0.337187	−	0.0874828i
$508$	19.0793	−	21.1897i	0.846506	−	0.940140i
$509$	0.444537	−	4.22948i	0.0197037	−	0.187469i	−0.980243	−	0.197797i	$-0.936621\pi$
$509$	0.444537	−	4.22948i	0.0197037	−	0.187469i	0.999947	+	0.0103289i	$0.00328784\pi$
$510$	−0.929881	−	0.740844i	−0.0411758	−	0.0328051i
$511$	2.82608	+	3.13868i	0.125019	+	0.138847i
$512$	4.76046	−	14.6512i	0.210385	−	0.647497i
$513$	−31.3079	−	4.19619i	−1.38228	−	0.185266i
$514$	0.683526	+	0.496610i	0.0301490	+	0.0219045i
$515$	−4.39811	−	0.934848i	−0.193804	−	0.0411943i
$516$	−0.0352712	−	0.127570i	−0.00155273	−	0.00561593i
$517$	1.64373	+	4.16270i	0.0722914	+	0.183075i
$518$	2.88386	+	4.99500i	0.126710	+	0.219468i
$519$	−1.86969	−	30.9649i	−0.0820704	−	1.35921i
$520$	−2.66873	+	1.18819i	−0.117032	+	0.0521058i
$521$	−11.1099	+	8.07180i	−0.486733	+	0.353632i	−0.803926	−	0.594729i	$-0.797259\pi$
$521$	−11.1099	+	8.07180i	−0.486733	+	0.353632i	0.317194	+	0.948361i	$0.397259\pi$
$522$	−2.47134	+	2.29738i	−0.108168	+	0.100553i
$523$	8.04564	−	24.7619i	0.351811	−	1.08276i	−0.606024	−	0.795446i	$-0.707236\pi$
$523$	8.04564	−	24.7619i	0.351811	−	1.08276i	0.957835	−	0.287318i	$-0.0927635\pi$
$524$	−0.139254	−	1.32491i	−0.00608334	−	0.0578791i
$525$	28.1798	−	4.69312i	1.22987	−	0.204825i
$526$	−7.60919	+	8.45086i	−0.331776	+	0.368475i
$527$	−3.41885	−	5.92162i	−0.148927	−	0.257950i
$528$	2.72254	+	7.90547i	0.118484	+	0.344041i
$529$	−10.8841	+	18.8518i	−0.473222	+	0.819644i
$530$	−0.114341	−	0.351906i	−0.00496666	−	0.0152858i
$531$	18.4161	+	39.6546i	0.799192	+	1.72086i
$532$	−25.4266	+	18.4735i	−1.10238	+	0.800927i
$533$	−18.1712	−	20.1812i	−0.787083	−	0.874144i
$534$	5.31293	−	8.32532i	0.229913	−	0.360272i
$535$	1.66418	+	0.740941i	0.0719489	+	0.0320337i
$536$	−2.24108	+	21.3225i	−0.0967999	+	0.920990i
$537$	−13.6552	+	9.02287i	−0.589264	+	0.389366i
$538$	−7.44430	+	12.8939i	−0.320946	+	0.555895i
$539$	−2.34314	−	13.9308i	−0.100926	−	0.600043i
$540$	−2.23378	+	0.656004i	−0.0961268	+	0.0282299i
$541$	4.67343	+	14.3833i	0.200926	+	0.618387i	0.999856	+	0.0169632i	$0.00539983\pi$
$541$	4.67343	+	14.3833i	0.200926	+	0.618387i	−0.798930	+	0.601424i	$0.794600\pi$
$542$	6.25787	−	2.78618i	0.268799	−	0.119677i
$543$	−15.0095	−	11.9582i	−0.644121	−	0.513177i
$544$	−19.7113	+	4.18977i	−0.845115	+	0.179635i
$545$	−0.879355	+	0.186913i	−0.0376674	+	0.00800646i
$546$	15.3468	−	6.03147i	0.656783	−	0.258123i
$547$	−20.3200	+	9.04704i	−0.868820	+	0.386824i	−0.792218	−	0.610238i	$-0.791074\pi$
$547$	−20.3200	+	9.04704i	−0.868820	+	0.386824i	−0.0766021	+	0.997062i	$0.524407\pi$
$548$	5.89352	+	18.1384i	0.251759	+	0.774834i
$549$	−0.184024	−	11.5760i	−0.00785395	−	0.494050i
$550$	1.83248	+	10.8948i	0.0781374	+	0.464555i
$551$	−5.04481	+	8.73786i	−0.214916	+	0.372245i
$552$	24.8761	+	12.4270i	1.05880	+	0.528927i
$553$	−0.739064	+	7.03173i	−0.0314282	+	0.299019i
$554$	4.81218	+	2.14252i	0.204450	+	0.0910270i
$555$	0.589025	+	1.13366i	0.0250027	+	0.0481213i
$556$	0.686596	+	0.762542i	0.0291182	+	0.0323390i
$557$	28.9690	−	21.0472i	1.22746	−	0.891799i	0.230759	−	0.973011i	$-0.425879\pi$
$557$	28.9690	−	21.0472i	1.22746	−	0.891799i	0.996697	+	0.0812123i	$0.0258792\pi$
$558$	3.97508	+	0.354014i	0.168279	+	0.0149866i
$559$	0.0641654	+	0.197481i	0.00271391	+	0.00835255i
$560$	−0.710102	+	1.22993i	−0.0300073	+	0.0519742i
$561$	13.1268	−	15.1023i	0.554216	−	0.637622i
$562$	10.9411	+	18.9505i	0.461522	+	0.799380i
$563$	22.4908	−	24.9786i	0.947876	−	1.05272i	−0.0506647	−	0.998716i	$-0.516134\pi$
$563$	22.4908	−	24.9786i	0.947876	−	1.05272i	0.998541	−	0.0540070i	$-0.0171993\pi$
$564$	−1.26377	+	3.37211i	−0.0532145	+	0.141991i
$565$	−0.484642	−	4.61107i	−0.0203891	−	0.193989i
$566$	−2.62247	+	8.07112i	−0.110231	+	0.339255i
$567$	29.3250	−	7.21458i	1.23153	−	0.302984i
$568$	−21.6023	+	15.6950i	−0.906411	+	0.658546i
$569$	−20.7811	+	9.25234i	−0.871189	+	0.387878i	−0.793117	−	0.609069i	$-0.791543\pi$
$569$	−20.7811	+	9.25234i	−0.871189	+	0.387878i	−0.0780719	+	0.996948i	$0.524876\pi$
$570$	1.73114	−	1.14388i	0.0725095	−	0.0479119i
$571$	17.6597	+	30.5875i	0.739035	+	1.28005i	0.952930	+	0.303190i	$0.0980517\pi$
$571$	17.6597	+	30.5875i	0.739035	+	1.28005i	−0.213895	+	0.976857i	$0.568615\pi$
$572$	−7.85775	−	19.8995i	−0.328549	−	0.832038i
$573$	7.60679	+	1.97357i	0.317778	+	0.0824472i
$574$	14.4271	+	3.06657i	0.602174	+	0.127996i
$575$	−26.6075	−	19.3315i	−1.10961	−	0.806180i
$576$	1.18770	−	2.78596i	0.0494873	−	0.116082i
$577$	9.12139	−	28.0727i	0.379728	−	1.16868i	−0.560505	−	0.828151i	$-0.689393\pi$
$577$	9.12139	−	28.0727i	0.379728	−	1.16868i	0.940233	−	0.340532i	$-0.110607\pi$
$578$	−2.20685	−	2.45096i	−0.0917930	−	0.101946i
$579$	−3.47382	+	23.1207i	−0.144367	+	0.960862i
$580$	−0.0777310	+	0.739561i	−0.00322761	+	0.0307086i
$581$	21.0499	−	23.3783i	0.873298	−	0.969895i
$582$	0.809750	−	0.822725i	0.0335652	−	0.0341031i
$583$	5.99961	−	1.66922i	0.248478	−	0.0691319i
$584$	−3.02018			−0.124976
$585$	3.45528	−	1.18373i	0.142858	−	0.0489413i
$586$	10.0792	+	7.32293i	0.416366	+	0.302508i
$587$	3.45757	+	32.8965i	0.142709	+	1.35779i	0.798113	+	0.602507i	$0.205832\pi$
$587$	3.45757	+	32.8965i	0.142709	+	1.35779i	−0.655404	+	0.755278i	$0.727502\pi$
$588$	6.11481	−	9.58185i	0.252170	−	0.395149i
$589$	11.6725	−	2.48107i	0.480958	−	0.102231i
$590$	−2.62371	−	1.16815i	−0.108017	−	0.0480921i
$591$	1.03361	−	2.75797i	0.0425171	−	0.113448i
$592$	3.61114	+	0.767571i	0.148417	+	0.0315470i
$593$	−9.74358			−0.400121			−0.200060	−	0.979784i	$-0.564114\pi$
$593$	−9.74358			−0.400121			−0.200060	+	0.979784i	$0.564114\pi$
$594$	2.80830	+	11.3361i	0.115226	+	0.465124i
$595$	3.39883			0.139339
$596$	−18.1654	−	3.86117i	−0.744083	−	0.158160i
$597$	−6.16607	+	16.4528i	−0.252360	+	0.673369i
$598$	−17.3423	−	7.72127i	−0.709178	−	0.315746i
$599$	−27.2491	+	5.79197i	−1.11337	+	0.236653i	−0.727640	−	0.685960i	$-0.759383\pi$
$599$	−27.2491	+	5.79197i	−1.11337	+	0.236653i	−0.385727	+	0.922613i	$0.626049\pi$
$600$	−10.9897	+	17.2207i	−0.448651	+	0.703032i
$601$	2.22847	+	21.2024i	0.0909011	+	0.864866i	0.941037	+	0.338303i	$0.109853\pi$
$601$	2.22847	+	21.2024i	0.0909011	+	0.864866i	−0.850136	+	0.526563i	$0.823480\pi$
$602$	−0.0912382	−	0.0662884i	−0.00371859	−	0.00270171i
$603$	5.15578	−	26.3054i	0.209959	−	1.07124i
$604$	−31.5933			−1.28551
$605$	3.17425	−	0.395114i	0.129051	−	0.0160637i
$606$	−3.22064	+	3.27225i	−0.130830	+	0.132926i
$607$	12.8092	−	14.2261i	0.519911	−	0.577419i	−0.424815	−	0.905280i	$-0.639661\pi$
$607$	12.8092	−	14.2261i	0.519911	−	0.577419i	0.944726	+	0.327861i	$0.106328\pi$
$608$	3.67617	−	34.9764i	0.149088	−	1.41848i
$609$	1.43322	−	9.53906i	0.0580769	−	0.386542i
$610$	0.508869	+	0.565156i	0.0206035	+	0.0228825i
$611$	1.74582	−	5.37307i	0.0706282	−	0.217371i
$612$	15.9837	−	1.93729i	0.646104	−	0.0783103i
$613$	−4.89769	−	3.55838i	−0.197816	−	0.143722i	0.484468	−	0.874809i	$-0.339013\pi$
$613$	−4.89769	−	3.55838i	−0.197816	−	0.143722i	−0.682284	+	0.731087i	$0.739013\pi$
$614$	−5.58386	−	1.18689i	−0.225346	−	0.0478988i
$615$	3.16229	+	0.820451i	0.127516	+	0.0330838i
$616$	22.5334	+	14.3290i	0.907895	+	0.577331i
$617$	15.1632	+	26.2634i	0.610448	+	1.05733i	0.991165	+	0.132635i	$0.0423438\pi$
$617$	15.1632	+	26.2634i	0.610448	+	1.05733i	−0.380717	+	0.924692i	$0.624323\pi$
$618$	−15.1420	+	10.0053i	−0.609101	+	0.402473i
$619$	−4.25774	+	1.89567i	−0.171133	+	0.0761933i	−0.490515	−	0.871433i	$-0.663191\pi$
$619$	−4.25774	+	1.89567i	−0.171133	+	0.0761933i	0.319382	+	0.947626i	$0.396525\pi$
$620$	0.711546	−	0.516969i	0.0285764	−	0.0207620i
$621$	−29.6012	−	18.2349i	−1.18785	−	0.731741i
$622$	2.36705	−	7.28503i	0.0949100	−	0.292103i
$623$	2.95121	+	28.0788i	0.118238	+	1.12496i
$624$	3.70400	−	9.88333i	0.148279	−	0.395650i
$625$	15.8843	−	17.6413i	0.635372	−	0.705652i
$626$	−2.07050	−	3.58620i	−0.0827536	−	0.143334i
$627$	17.9876	+	29.9327i	0.718355	+	1.19540i
$628$	−6.51377	+	11.2822i	−0.259928	+	0.450208i
$629$	−2.73024	−	8.40282i	−0.108862	−	0.335042i
$630$	−1.14035	+	1.62320i	−0.0454325	+	0.0646697i
$631$	−39.7017	+	28.8449i	−1.58050	+	1.14830i	−0.664377	+	0.747397i	$0.731303\pi$
$631$	−39.7017	+	28.8449i	−1.58050	+	1.14830i	−0.916121	+	0.400902i	$0.868697\pi$
$632$	−3.38312	−	3.75734i	−0.134573	−	0.149459i
$633$	8.52509	+	16.4077i	0.338842	+	0.652149i
$634$	−0.512956	−	0.228383i	−0.0203721	−	0.00907023i
$635$	0.562517	−	5.35199i	0.0223228	−	0.212387i
$636$	4.48266	+	2.23933i	0.177749	+	0.0887953i
$637$	−8.91624	+	15.4434i	−0.353274	+	0.611889i
$638$	3.68984	+	0.548311i	0.146082	+	0.0217078i
$639$	28.6431	−	17.1498i	1.13310	−	0.678437i
$640$	−0.978259	−	3.01077i	−0.0386691	−	0.119011i
$641$	26.2395	−	11.6826i	1.03640	−	0.461434i	0.183230	−	0.983070i	$-0.441345\pi$
$641$	26.2395	−	11.6826i	1.03640	−	0.461434i	0.853168	+	0.521636i	$0.174678\pi$
$642$	6.84342	−	2.68954i	0.270088	−	0.106148i
$643$	−12.7365	+	2.70723i	−0.502280	+	0.106763i	−0.452082	−	0.891976i	$-0.649319\pi$
$643$	−12.7365	+	2.70723i	−0.502280	+	0.106763i	−0.0501980	+	0.998739i	$0.515985\pi$
$644$	−33.8362	+	7.19210i	−1.33333	+	0.283409i
$645$	−0.0195375	−	0.0155657i	−0.000769287	−	0.000612897i
$646$	−13.1091	+	5.83654i	−0.515770	+	0.229636i
$647$	11.3139	+	34.8207i	0.444797	+	1.36894i	0.882706	+	0.469925i	$0.155719\pi$
$647$	11.3139	+	34.8207i	0.444797	+	1.36894i	−0.437910	+	0.899019i	$0.644281\pi$
$648$	−10.1977	+	19.0357i	−0.400603	+	0.747795i
$649$	21.5318	−	43.2763i	0.845197	−	1.69874i
$650$	6.97305	−	12.0777i	0.273506	−	0.473726i
$651$	−9.51851	+	6.28951i	−0.373060	+	0.246505i
$652$	−3.74823	+	35.6620i	−0.146792	+	1.39663i
$653$	−10.6605	−	4.74637i	−0.417178	−	0.185740i	0.187403	−	0.982283i	$-0.439993\pi$
$653$	−10.6605	−	4.74637i	−0.417178	−	0.185740i	−0.604581	+	0.796543i	$0.706660\pi$
$654$	−1.95208	+	3.05890i	−0.0763325	+	0.119612i
$655$	−0.168242	−	0.186852i	−0.00657376	−	0.00730090i
$656$	7.63776	−	5.54916i	0.298205	−	0.216658i
$657$	3.76118	+	0.334964i	0.146738	+	0.0130682i
$658$	0.948198	+	2.91825i	0.0369646	+	0.113765i
$659$	19.8661	−	34.4091i	0.773873	−	1.34039i	−0.161553	−	0.986864i	$-0.551650\pi$
$659$	19.8661	−	34.4091i	0.773873	−	1.34039i	0.935426	−	0.353523i	$-0.115016\pi$
$660$	2.10844	+	1.47618i	0.0820708	+	0.0574601i
$661$	−10.7410	−	18.6039i	−0.417775	−	0.723607i	0.577940	−	0.816079i	$-0.303857\pi$
$661$	−10.7410	−	18.6039i	−0.417775	−	0.723607i	−0.995715	+	0.0924716i	$0.970523\pi$
$662$	3.71127	−	4.12178i	0.144243	−	0.160198i
$663$	−24.9161	+	4.14958i	−0.967662	+	0.161156i
$664$	2.35143	+	22.3724i	0.0912533	+	0.868218i
$665$	−1.83300	+	5.64139i	−0.0710807	+	0.218764i
$666$	4.92900	+	1.51535i	0.190995	+	0.0587185i
$667$	−8.98420	+	6.52740i	−0.347870	+	0.252742i
$668$	27.5562	−	12.2688i	1.06618	−	0.474695i
$669$	−0.296203	−	4.90557i	−0.0114519	−	0.189660i
$670$	0.880405	+	1.52491i	0.0340130	+	0.0589123i
$671$	−9.86950	+	8.14959i	−0.381008	+	0.314611i
$672$	8.96019	+	32.4074i	0.345647	+	1.25014i
$673$	20.0626	+	4.26443i	0.773355	+	0.164382i	0.577654	−	0.816282i	$-0.303968\pi$
$673$	20.0626	+	4.26443i	0.773355	+	0.164382i	0.195701	+	0.980664i	$0.437302\pi$
$674$	1.37327	+	0.997740i	0.0528964	+	0.0384315i
$675$	15.5959	−	20.2269i	0.600286	−	0.778536i
$676$	−2.15615	+	6.63595i	−0.0829289	+	0.255229i
$677$	0.791571	+	0.879129i	0.0304226	+	0.0337877i	0.758164	−	0.652064i	$-0.226097\pi$
$677$	0.791571	+	0.879129i	0.0304226	+	0.0337877i	−0.727741	+	0.685852i	$0.759430\pi$
$678$	−14.6370	−	11.6615i	−0.562132	−	0.447855i
$679$	−0.344951	+	3.28199i	−0.0132380	+	0.125951i
$680$	−1.62630	+	1.80618i	−0.0623656	+	0.0692640i
$681$	−10.8738	−	2.82120i	−0.416687	−	0.108109i
$682$	−2.43821	−	3.67708i	−0.0933640	−	0.140803i
$683$	−6.06013			−0.231884			−0.115942	−	0.993256i	$-0.536989\pi$
$683$	−6.06013			−0.231884			−0.115942	+	0.993256i	$0.536989\pi$
$684$	−5.40455	+	27.5746i	−0.206648	+	1.05434i
$685$	2.91206	+	2.11574i	0.111264	+	0.0808381i
$686$	0.651431	+	6.19796i	0.0248718	+	0.236639i
$687$	20.4757	+	39.4084i	0.781198	+	1.50353i
$688$	−0.0706087	+	0.0150084i	−0.00269193	+	0.000572188i
$689$	−7.18157	−	3.19744i	−0.273596	−	0.121813i
$690$	2.25273	−	0.375174i	0.0857599	−	0.0142826i
$691$	−41.8933	−	8.90469i	−1.59370	−	0.338750i	−0.676269	−	0.736655i	$-0.736404\pi$
$691$	−41.8933	−	8.90469i	−1.59370	−	0.338750i	−0.917427	+	0.397905i	$0.869737\pi$
$692$	−27.5954			−1.04902
$693$	−26.4727	−	20.3437i	−1.00561	−	0.772794i
$694$	−21.3645			−0.810984
$695$	0.189428	+	0.0402643i	0.00718543	+	0.00152731i
$696$	4.38341	+	5.32594i	0.166153	+	0.201879i
$697$	−20.6404	−	9.18969i	−0.781810	−	0.348084i
$698$	5.80130	−	1.23310i	0.219582	−	0.0466737i
$699$	−1.12452	−	0.0499750i	−0.0425332	−	0.00189023i
$700$	−2.65637	−	25.2737i	−0.100401	−	0.955256i
$701$	3.14877	+	2.28771i	0.118927	+	0.0864057i	0.645659	−	0.763626i	$-0.276583\pi$
$701$	3.14877	+	2.28771i	0.118927	+	0.0864057i	−0.526732	+	0.850032i	$0.676583\pi$
$702$	6.37790	−	13.2915i	0.240718	−	0.501657i
$703$	15.4195			0.581556
$704$	−3.22569	+	0.897454i	−0.121573	+	0.0338241i
$705$	0.181121	+	0.655081i	0.00682140	+	0.0246718i
$706$	0.199455	−	0.221517i	0.00750660	−	0.00833692i
$707$	1.37198	−	13.0536i	0.0515988	−	0.490930i
$708$	36.1985	−	14.2264i	1.36042	−	0.534661i
$709$	14.8208	+	16.4601i	0.556605	+	0.618172i	0.954120	−	0.299423i	$-0.0967942\pi$
$709$	14.8208	+	16.4601i	0.556605	+	0.618172i	−0.397515	+	0.917595i	$0.630127\pi$
$710$	−0.677662	+	2.08563i	−0.0254322	+	0.0782723i
$711$	3.79645	+	5.05441i	0.142378	+	0.189555i
$712$	−16.3336	−	11.8670i	−0.612127	−	0.444736i
$713$	12.8473	+	2.73078i	0.481135	+	0.102268i
$714$	9.62336	−	9.77756i	0.360145	−	0.365916i
$715$	−3.40734	−	2.16673i	−0.127427	−	0.0810311i
$716$	7.27968	+	12.6088i	0.272054	+	0.471212i
$717$	−26.2396	−	13.1081i	−0.979936	−	0.489531i
$718$	10.3622	−	4.61357i	0.386716	−	0.172177i
$719$	30.3861	−	22.0768i	1.13321	−	0.823324i	0.147050	−	0.989129i	$-0.453022\pi$
$719$	30.3861	−	22.0768i	1.13321	−	0.823324i	0.986159	+	0.165805i	$0.0530221\pi$
$720$	0.283703	+	1.23764i	0.0105730	+	0.0461243i
$721$	16.0329	−	49.3443i	0.597098	−	1.83768i
$722$	−1.27187	−	12.1010i	−0.0473340	−	0.450353i
$723$	26.9658	+	32.7641i	1.00287	+	1.21851i
$724$	−11.4230	+	12.6865i	−0.424532	+	0.471490i
$725$	−4.07914	−	7.06529i	−0.151496	−	0.262398i
$726$	7.85084	−	10.2502i	0.291372	−	0.380421i
$727$	14.2388	−	24.6624i	0.528090	−	0.914678i	−0.471374	−	0.881933i	$-0.656242\pi$
$727$	14.2388	−	24.6624i	0.528090	−	0.914678i	0.999464	−	0.0327447i	$-0.0104248\pi$
$728$	−10.4166	−	32.0590i	−0.386065	−	1.18819i
$729$	14.8109	−	22.5751i	0.548552	−	0.836117i
$730$	−0.200669	+	0.145794i	−0.00742709	+	0.00539609i
$731$	0.115596	+	0.128383i	0.00427548	+	0.00474841i
$732$	−10.2887	−	0.457241i	−0.380280	−	0.0169001i
$733$	14.5221	+	6.46566i	0.536386	+	0.238815i	0.657008	−	0.753884i	$-0.271822\pi$
$733$	14.5221	+	6.46566i	0.536386	+	0.238815i	−0.120621	+	0.992699i	$0.538489\pi$
$734$	1.04474	−	9.94003i	0.0385620	−	0.366893i
$735$	−0.129299	−	2.14139i	−0.00476927	−	0.0789863i
$736$	19.3543	−	33.5227i	0.713411	−	1.23566i
$737$	−26.2751	+	13.7058i	−0.967858	+	0.504859i
$738$	11.3138	−	6.77408i	0.416468	−	0.249357i
$739$	11.2191	+	34.5289i	0.412702	+	1.27017i	0.914290	+	0.405060i	$0.132749\pi$
$739$	11.2191	+	34.5289i	0.412702	+	1.27017i	−0.501588	+	0.865107i	$0.667251\pi$
$740$	1.03821	−	0.462240i	0.0381653	−	0.0169923i
$741$	6.54984	−	43.5937i	0.240614	−	1.60146i
$742$	4.17632	−	0.887704i	0.153318	−	0.0325887i
$743$	−40.9165	+	8.69707i	−1.50108	+	0.319065i	−0.883870	−	0.467733i	$-0.845071\pi$
$743$	−40.9165	+	8.69707i	−1.50108	+	0.319065i	−0.617211	+	0.786798i	$0.711738\pi$
$744$	1.21215	−	8.06771i	0.0444396	−	0.295777i
$745$	−3.20199	+	1.42562i	−0.117312	+	0.0522307i
$746$	4.95274	+	15.2430i	0.181333	+	0.558085i
$747$	−0.447062	−	28.1223i	−0.0163571	−	1.02894i
$748$	−12.7062	−	12.4656i	−0.464586	−	0.455788i
$749$	−10.5102	+	18.2041i	−0.384033	+	0.665165i
$750$	0.203979	+	3.37821i	0.00744828	+	0.123355i
$751$	−1.88107	+	17.8971i	−0.0686410	+	0.653076i	0.905066	+	0.425271i	$0.139821\pi$
$751$	−1.88107	+	17.8971i	−0.0686410	+	0.653076i	−0.973707	+	0.227804i	$0.926845\pi$
$752$	1.79425	+	0.798850i	0.0654294	+	0.0291311i
$753$	30.9230	+	1.37426i	1.12690	+	0.0500807i
$754$	−3.15093	−	3.49946i	−0.114750	−	0.127443i
$755$	−4.82395	+	3.50480i	−0.175561	+	0.127553i
$756$	−4.83389	−	26.4257i	−0.175807	−	0.961095i
$757$	8.42505	+	25.9296i	0.306214	+	0.942429i	0.979222	+	0.202793i	$0.0650020\pi$
$757$	8.42505	+	25.9296i	0.306214	+	0.942429i	−0.673008	+	0.739635i	$0.734998\pi$
$758$	3.88867	−	6.73538i	0.141243	−	0.244640i
$759$	4.68626	+	38.1496i	0.170100	+	1.38474i
$760$	−2.12084	−	3.67341i	−0.0769311	−	0.133249i
$761$	−0.350917	+	0.389733i	−0.0127207	+	0.0141278i	−0.749472	−	0.662036i	$-0.769692\pi$
$761$	−0.350917	+	0.389733i	−0.0127207	+	0.0141278i	0.736751	+	0.676164i	$0.236359\pi$
$762$	−13.8036	−	16.7717i	−0.500052	−	0.607575i
$763$	−1.08433	−	10.3168i	−0.0392556	−	0.373492i
$764$	2.16026	−	6.64859i	0.0781554	−	0.240538i
$765$	2.22563	−	2.06896i	0.0804677	−	0.0748034i
$766$	4.34686	−	3.15818i	0.157058	−	0.114110i
$767$	−55.7424	+	24.8181i	−2.01274	+	0.896130i
$768$	−14.5595	−	7.27325i	−0.525370	−	0.262451i
$769$	0.597250	+	1.03447i	0.0215374	+	0.0373038i	0.876593	−	0.481232i	$-0.159811\pi$
$769$	0.597250	+	1.03447i	0.0215374	+	0.0373038i	−0.855056	+	0.518536i	$0.826477\pi$
$770$	2.18889	−	0.135707i	0.0788820	−	0.00489054i
$771$	−1.51477	+	1.53904i	−0.0545530	+	0.0554272i
$772$	20.3436	+	4.32417i	0.732183	+	0.155630i
$773$	−23.1772	−	16.8392i	−0.833625	−	0.605664i	0.0869576	−	0.996212i	$-0.472286\pi$
$773$	−23.1772	−	16.8392i	−0.833625	−	0.605664i	−0.920583	+	0.390548i	$0.872286\pi$
$774$	−0.100096	+	0.0121320i	−0.00359788	+	0.000436077i
$775$	−2.98172	+	9.17680i	−0.107107	+	0.329640i
$776$	−1.57904	−	1.75370i	−0.0566842	−	0.0629542i
$777$	−13.7201	+	5.39217i	−0.492207	+	0.193443i
$778$	−0.641133	+	6.09997i	−0.0229857	+	0.218695i
$779$	26.3845	−	29.3029i	0.945322	−	1.04989i
$780$	−0.865833	−	3.13156i	−0.0310018	−	0.112128i
$781$	−34.5817	−	12.8968i	−1.23743	−	0.461482i
$782$	−15.7939			−0.564789
$783$	−4.86818	−	7.11882i	−0.173975	−	0.254406i
$784$	−5.01539	−	3.64389i	−0.179121	−	0.130139i
$785$	0.257008	+	2.44527i	0.00917301	+	0.0872754i
$786$	−1.01388	−	0.0450580i	−0.0361639	−	0.00160717i
$787$	−11.2561	+	2.39256i	−0.401238	+	0.0852857i	−0.404110	−	0.914710i	$-0.632419\pi$
$787$	−11.2561	+	2.39256i	−0.401238	+	0.0852857i	0.00287286	+	0.999996i	$0.499086\pi$
$788$	−2.39350	−	1.06566i	−0.0852651	−	0.0379625i
$789$	−18.4702	−	22.4417i	−0.657555	−	0.798945i
$790$	−0.406163	−	0.0863326i	−0.0144506	−	0.00307158i
$791$	53.5003			1.90225
$792$	23.4778	−	4.33374i	0.834246	−	0.153993i
$793$	16.1571			0.573756
$794$	−3.56739	−	0.758272i	−0.126602	−	0.0269101i
$795$	0.932873	−	0.155363i	0.0330856	−	0.00551015i
$796$	14.2786	+	6.35724i	0.506091	+	0.225326i
$797$	−1.31148	+	0.278765i	−0.0464551	+	0.00987435i	−0.231081	−	0.972935i	$-0.574226\pi$
$797$	−1.31148	+	0.278765i	−0.0464551	+	0.00987435i	0.184625	+	0.982809i	$0.440893\pi$
$798$	11.0389	+	21.2460i	0.390774	+	0.752099i
$799$	−0.491321	−	4.67461i	−0.0173817	−	0.165376i
$800$	23.0061	+	16.7149i	0.813389	+	0.590962i
$801$	19.0249	+	16.5901i	0.672210	+	0.586184i
$802$	−10.6179			−0.374932
$803$	−2.30701	−	3.47922i	−0.0814126	−	0.122779i
$804$	−23.0813	−	5.98840i	−0.814013	−	0.211195i
$805$	−4.36856	+	4.85178i	−0.153971	+	0.171003i
$806$	−0.582167	+	5.53895i	−0.0205060	+	0.195101i
$807$	−29.7627	−	23.7122i	−1.04770	−	0.834708i
$808$	6.28036	+	6.97504i	0.220942	+	0.245381i
$809$	−9.18938	+	28.2820i	−0.323081	+	0.994342i	0.649218	+	0.760603i	$0.275096\pi$
$809$	−9.18938	+	28.2820i	−0.323081	+	0.994342i	−0.972299	+	0.233740i	$0.924904\pi$
$810$	0.241360	+	1.75706i	0.00848053	+	0.0617369i
$811$	−23.1302	−	16.8050i	−0.812209	−	0.590105i	0.102261	−	0.994758i	$-0.467392\pi$
$811$	−23.1302	−	16.8050i	−0.812209	−	0.590105i	−0.914470	+	0.404653i	$0.867392\pi$
$812$	−8.39331	−	1.78405i	−0.294548	−	0.0626080i
$813$	4.66570	+	16.8750i	0.163633	+	0.591832i
$814$	−2.09381	−	5.30250i	−0.0733880	−	0.185852i
$815$	3.38385	+	5.86101i	0.118531	+	0.205302i
$816$	−0.529257	−	8.76529i	−0.0185277	−	0.306846i
$817$	−0.275431	+	0.122630i	−0.00963613	+	0.00429028i
$818$	12.4678	−	9.05839i	0.435927	−	0.316719i
$819$	9.41668	+	41.0799i	0.329045	+	1.43545i
$820$	0.898061	−	2.76395i	0.0313616	−	0.0965212i
$821$	1.62435	+	15.4546i	0.0566901	+	0.539370i	0.985603	+	0.169073i	$0.0540774\pi$
$821$	1.62435	+	15.4546i	0.0566901	+	0.539370i	−0.928913	+	0.370297i	$0.879256\pi$
$822$	14.3316	−	2.38681i	0.499871	−	0.0832495i
$823$	−27.1518	+	30.1551i	−0.946451	+	1.05114i	0.0521693	+	0.998638i	$0.483386\pi$
$823$	−27.1518	+	30.1551i	−0.946451	+	1.05114i	−0.998621	+	0.0525026i	$0.983280\pi$
$824$	18.5507	+	32.1307i	0.646244	+	1.11933i
$825$	−28.2327	+	0.494319i	−0.982937	+	0.0172100i
$826$	16.5701	−	28.7003i	0.576548	−	0.998610i
$827$	−0.785994	−	2.41904i	−0.0273317	−	0.0841183i	0.936460	−	0.350774i	$-0.114081\pi$
$827$	−0.785994	−	2.41904i	−0.0273317	−	0.0841183i	−0.963792	+	0.266656i	$0.914081\pi$
$828$	−17.7786	+	25.3065i	−0.617850	+	0.879463i
$829$	11.6264	−	8.44709i	0.403802	−	0.293380i	−0.367286	−	0.930108i	$-0.619713\pi$
$829$	11.6264	−	8.44709i	0.403802	−	0.293380i	0.771088	+	0.636729i	$0.219713\pi$
$830$	1.23623	+	1.37297i	0.0429101	+	0.0476565i
$831$	−7.24273	+	11.3493i	−0.251247	+	0.393703i
$832$	3.86117	+	1.71910i	0.133862	+	0.0595992i
$833$	−1.55082	+	14.7550i	−0.0537326	+	0.511232i
$834$	0.652172	−	0.430934i	0.0225829	−	0.0149220i
$835$	2.84649	−	4.93027i	0.0985069	−	0.170619i
$836$	27.5430	−	14.3671i	0.952594	−	0.496897i
$837$	−2.40433	+	9.91268i	−0.0831059	+	0.342632i
$838$	−8.17254	−	25.1525i	−0.282316	−	0.868878i
$839$	34.3320	−	15.2856i	1.18527	−	0.527717i	0.283099	−	0.959091i	$-0.408638\pi$
$839$	34.3320	−	15.2856i	1.18527	−	0.527717i	0.902173	+	0.431374i	$0.141971\pi$
$840$	3.17170	+	2.52692i	0.109434	+	0.0871871i
$841$	25.6718	−	5.45671i	0.885234	−	0.188162i
$842$	−16.0330	+	3.40791i	−0.552532	+	0.117444i
$843$	−52.0529	+	20.4574i	−1.79280	+	0.704589i
$844$	15.0262	−	6.69010i	0.517224	−	0.230283i
$845$	0.406939	+	1.25243i	0.0139991	+	0.0430849i
$846$	2.39732	+	1.33374i	0.0824215	+	0.0458549i
$847$	0.705614	+	36.9036i	0.0242452	+	1.26802i
$848$	1.36645	−	2.36677i	0.0469242	−	0.0812751i
$849$	−19.4041	−	9.69340i	−0.665947	−	0.332676i
$850$	1.21283	−	11.5394i	0.0415999	−	0.395797i
$851$	15.5041	+	6.90287i	0.531473	+	0.236627i
$852$	−13.6924	−	26.3529i	−0.469094	−	0.902836i
$853$	23.4970	+	26.0961i	0.804522	+	0.893513i	0.996124	−	0.0879603i	$-0.0280348\pi$
$853$	23.4970	+	26.0961i	0.804522	+	0.893513i	−0.191602	+	0.981473i	$0.561368\pi$
$854$	−7.09940	+	5.15802i	−0.242936	+	0.176504i
$855$	2.23378	+	4.80990i	0.0763936	+	0.164495i
$856$	−4.64495	−	14.2957i	−0.158761	−	0.488616i
$857$	−14.5051	+	25.1236i	−0.495486	+	0.858206i	−0.999986	−	0.00520496i	$-0.998343\pi$
$857$	−14.5051	+	25.1236i	−0.495486	+	0.858206i	0.504501	+	0.863411i	$0.331677\pi$
$858$	−15.8806	+	3.66722i	−0.542154	+	0.125197i
$859$	1.95891	+	3.39292i	0.0668370	+	0.115765i	0.897507	−	0.440999i	$-0.145376\pi$
$859$	1.95891	+	3.39292i	0.0668370	+	0.115765i	−0.830670	+	0.556764i	$0.812043\pi$
$860$	−0.0148689	+	0.0165136i	−0.000507026	+	0.000563110i
$861$	−13.2296	+	35.3002i	−0.450862	+	1.20303i
$862$	0.867417	+	8.25292i	0.0295443	+	0.281096i
$863$	−4.79776	+	14.7660i	−0.163318	+	0.502640i	−0.998908	−	0.0467125i	$-0.985126\pi$
$863$	−4.79776	+	14.7660i	−0.163318	+	0.502640i	0.835591	+	0.549352i	$0.185126\pi$
$864$	25.5946	+	15.7667i	0.870745	+	0.536396i
$865$	−4.21351	+	3.06130i	−0.143264	+	0.104087i
$866$	−4.41518	+	1.96576i	−0.150034	+	0.0667994i
$867$	7.03292	−	4.64712i	0.238851	−	0.157824i
$868$	5.07440	+	8.78912i	0.172236	+	0.298322i
$869$	1.74417	−	6.76742i	0.0591668	−	0.229569i
$870$	0.548347	+	0.142268i	0.0185907	+	0.00482333i
$871$	36.5920	+	7.77786i	1.23987	+	0.263543i
$872$	6.00130	+	4.36020i	0.203230	+	0.147655i
$873$	1.77195	+	2.35910i	0.0599716	+	0.0798434i
$874$	8.51770	−	26.2148i	0.288115	−	0.886728i
$875$	−6.47389	−	7.18998i	−0.218857	−	0.243066i
$876$	0.499085	−	3.32176i	0.0168625	−	0.112232i
$877$	3.55651	−	33.8379i	0.120095	−	1.14263i	−0.754001	−	0.656873i	$-0.771879\pi$
$877$	3.55651	−	33.8379i	0.120095	−	1.14263i	0.874096	−	0.485753i	$-0.161455\pi$
$878$	−8.70368	+	9.66641i	−0.293735	+	0.326226i
$879$	−22.3365	+	22.6944i	−0.753392	+	0.765464i
$880$	0.872943	−	1.09932i	0.0294269	−	0.0370580i
$881$	−24.8513			−0.837261			−0.418630	−	0.908157i	$-0.637490\pi$
$881$	−24.8513			−0.837261			−0.418630	+	0.908157i	$0.637490\pi$
$882$	−6.52632	−	5.69111i	−0.219753	−	0.191630i
$883$	−19.0146	−	13.8149i	−0.639893	−	0.464910i	0.219920	−	0.975518i	$-0.429420\pi$
$883$	−19.0146	−	13.8149i	−0.639893	−	0.464910i	−0.859814	+	0.510608i	$0.829420\pi$
$884$	2.34872	+	22.3466i	0.0789961	+	0.751597i
$885$	3.94890	−	6.18790i	0.132741	−	0.208004i
$886$	6.39696	−	1.35972i	0.214910	−	0.0456806i
$887$	34.6913	+	15.4456i	1.16482	+	0.518611i	0.895771	−	0.444516i	$-0.146624\pi$
$887$	34.6913	+	15.4456i	1.16482	+	0.518611i	0.269048	+	0.963127i	$0.413291\pi$
$888$	3.69943	−	9.87114i	0.124145	−	0.331254i
$889$	60.7400	+	12.9107i	2.03715	+	0.433010i
$890$	−1.65811			−0.0555800
$891$	−29.7187	+	2.79313i	−0.995612	+	0.0935733i
$892$	−4.37175			−0.146377
$893$	8.02390	+	1.70553i	0.268510	+	0.0570735i
$894$	−4.96490	+	13.2478i	−0.166051	+	0.443072i
$895$	2.51028	+	1.11765i	0.0839095	+	0.0373589i
$896$	35.7310	−	7.59486i	1.19369	−	0.253726i
$897$	26.1015	−	40.9008i	0.871504	−	1.36564i
$898$	1.08958	+	10.3667i	0.0363598	+	0.345940i
$899$	2.63583	+	1.91504i	0.0879098	+	0.0638702i
$900$	−17.1242	−	14.9327i	−0.570807	−	0.497758i
$901$	−6.54039			−0.217892
$902$	−13.6596	−	5.09414i	−0.454813	−	0.169616i
$903$	0.202194	−	0.205434i	0.00672859	−	0.00683640i
$904$	−25.5992	+	28.4307i	−0.851415	+	0.945593i
$905$	−0.336785	+	3.20430i	−0.0111951	+	0.106514i
$906$	−3.57598	+	23.8006i	−0.118804	+	0.790724i
$907$	−12.2796	−	13.6378i	−0.407736	−	0.452837i	0.503945	−	0.863736i	$-0.331882\pi$
$907$	−12.2796	−	13.6378i	−0.407736	−	0.452837i	−0.911681	+	0.410899i	$0.865215\pi$
$908$	−3.08807	+	9.50410i	−0.102481	+	0.315405i
$909$	−7.04764	−	9.38291i	−0.233756	−	0.311211i
$910$	−2.23970	−	1.62724i	−0.0742455	−	0.0539425i
$911$	−2.06350	−	0.438612i	−0.0683670	−	0.0145318i	0.173601	−	0.984816i	$-0.444460\pi$
$911$	−2.06350	−	0.438612i	−0.0683670	−	0.0145318i	−0.241968	+	0.970284i	$0.577793\pi$
$912$	14.8341	+	3.84868i	0.491206	+	0.127443i
$913$	−23.9766	+	19.7983i	−0.793510	+	0.655229i
$914$	6.47097	+	11.2081i	0.214041	+	0.370730i
$915$	−1.62169	+	1.07156i	−0.0536115	+	0.0354247i
$916$	36.0903	−	16.0684i	1.19246	−	0.530916i
$917$	2.34720	−	1.70534i	0.0775114	−	0.0563153i
$918$	0.349720	−	12.2606i	0.0115425	−	0.404659i
$919$	3.41262	−	10.5030i	0.112572	−	0.346461i	−0.878861	−	0.477078i	$-0.841696\pi$
$919$	3.41262	−	10.5030i	0.112572	−	0.346461i	0.991433	+	0.130617i	$0.0416959\pi$
$920$	−0.488001	−	4.64302i	−0.0160889	−	0.153076i
$921$	5.12038	−	13.6626i	0.168722	−	0.450199i
$922$	3.79619	−	4.21609i	0.125021	−	0.138850i
$923$	23.2954	+	40.3488i	0.766777	+	1.32810i
$924$	−19.4834	+	22.4155i	−0.640958	+	0.737417i
$925$	−6.23395	+	10.7975i	−0.204971	+	0.355020i
$926$	5.91786	+	18.2133i	0.194473	+	0.598526i
$927$	−19.5385	−	42.0714i	−0.641728	−	1.38181i
$928$	7.76816	−	5.64390i	0.255002	−	0.185270i
$929$	10.3995	+	11.5498i	0.341197	+	0.378938i	0.889185	−	0.457549i	$-0.151272\pi$
$929$	10.3995	+	11.5498i	0.341197	+	0.378938i	−0.547987	+	0.836487i	$0.684606\pi$
$930$	−0.308918	−	0.594555i	−0.0101298	−	0.0194962i
$931$	−23.6541	−	10.5315i	−0.775232	−	0.345155i
$932$	−0.104666	+	0.995830i	−0.00342845	+	0.0326195i
$933$	17.5142	+	8.74930i	0.573389	+	0.286439i
$934$	2.78660	−	4.82653i	0.0911803	−	0.157929i
$935$	−3.32298	−	0.493795i	−0.108673	−	0.0161488i
$936$	−26.3362	−	14.6520i	−0.860825	−	0.478917i
$937$	6.94246	+	21.3667i	0.226800	+	0.698020i	0.998104	+	0.0615522i	$0.0196051\pi$
$937$	6.94246	+	21.3667i	0.226800	+	0.698020i	−0.771303	+	0.636468i	$0.780395\pi$
$938$	−18.5614	+	8.26409i	−0.606053	+	0.269832i
$939$	9.85050	−	3.87136i	0.321459	−	0.126337i
$940$	0.591386	−	0.125703i	0.0192889	−	0.00409998i
$941$	5.09701	−	1.08340i	0.166158	−	0.0353179i	−0.124081	−	0.992272i	$-0.539598\pi$
$941$	5.09701	−	1.08340i	0.166158	−	0.0353179i	0.290239	+	0.956954i	$0.406265\pi$
$942$	7.76209	+	6.18412i	0.252903	+	0.201490i
$943$	39.6474	−	17.6522i	1.29110	−	0.574834i
$944$	−6.55501	−	20.1742i	−0.213347	−	0.656615i
$945$	−3.66962	−	3.49867i	−0.119373	−	0.113812i
$946$	0.0795713	+	0.0780644i	0.00258709	+	0.00253809i
$947$	8.81080	−	15.2608i	0.286312	−	0.495908i	−0.686614	−	0.727022i	$-0.740904\pi$
$947$	8.81080	−	15.2608i	0.286312	−	0.495908i	0.972927	+	0.231114i	$0.0742371\pi$
$948$	4.69158	−	3.10004i	0.152375	−	0.100685i
$949$	−0.550840	+	5.24090i	−0.0178810	+	0.170127i
$950$	18.4990	+	8.23627i	0.600186	+	0.267220i
$951$	0.772040	−	1.20978i	0.0250351	−	0.0392298i
$952$	−18.7659	−	20.8416i	−0.608205	−	0.675480i
$953$	37.7579	−	27.4328i	1.22310	−	0.888634i	0.226746	−	0.973954i	$-0.427191\pi$
$953$	37.7579	−	27.4328i	1.22310	−	0.888634i	0.996354	+	0.0853198i	$0.0271912\pi$
$954$	2.19437	−	3.12353i	0.0710455	−	0.101128i
$955$	−0.407714	−	1.25482i	−0.0131933	−	0.0406049i
$956$	−13.0461	+	22.5965i	−0.421941	+	0.730823i
$957$	−2.78710	+	9.11795i	−0.0900942	+	0.294741i
$958$	10.3081	+	17.8541i	0.333039	+	0.576840i
$959$	−27.7922	+	30.8664i	−0.897457	+	0.996727i
$960$	−0.501559	+	0.0835307i	−0.0161877	+	0.00269594i
$961$	2.83759	+	26.9979i	0.0915352	+	0.870899i
$962$	−2.22384	+	6.84429i	−0.0716996	+	0.220669i
$963$	4.19907	+	18.3183i	0.135313	+	0.590298i
$964$	30.5385	−	22.1875i	0.983578	−	0.714612i
$965$	3.58595	−	1.59657i	0.115436	−	0.0513953i
$966$	1.58829	+	26.3044i	0.0511022	+	0.846330i
$967$	0.286105	+	0.495548i	0.00920051	+	0.0159357i	0.870589	−	0.492011i	$-0.163738\pi$
$967$	0.286105	+	0.495548i	0.00920051	+	0.0159357i	−0.861388	+	0.507947i	$0.830405\pi$
$968$	−19.9487	−	17.2829i	−0.641175	−	0.555494i
$969$	−9.77379	−	35.3500i	−0.313979	−	1.13561i
$970$	−0.189573	−	0.0402949i	−0.00608681	−	0.00129379i
$971$	−30.0714	−	21.8481i	−0.965037	−	0.701140i	−0.0107220	−	0.999943i	$-0.503413\pi$
$971$	−30.0714	−	21.8481i	−0.965037	−	0.701140i	−0.954315	+	0.298802i	$0.903413\pi$
$972$	−19.2514	−	14.3616i	−0.617488	−	0.460649i
$973$	−0.690545	+	2.12528i	−0.0221379	+	0.0681334i
$974$	−10.1071	−	11.2250i	−0.323851	−	0.359673i
$975$	27.8786	+	22.2111i	0.892830	+	0.711325i
$976$	−0.587129	+	5.58616i	−0.0187936	+	0.178809i
$977$	−10.7383	+	11.9260i	−0.343547	+	0.381548i	−0.890014	−	0.455933i	$-0.849306\pi$
$977$	−10.7383	+	11.9260i	−0.343547	+	0.381548i	0.546467	+	0.837481i	$0.315972\pi$
$978$	26.4416	+	6.86022i	0.845508	+	0.219366i
$979$	1.19406	−	27.8809i	0.0381622	−	0.891079i
$980$	−1.90837			−0.0609605
$981$	−6.99013	−	6.09557i	−0.223178	−	0.194617i
$982$	17.7444	+	12.8921i	0.566247	+	0.411403i
$983$	−4.79711	−	45.6414i	−0.153004	−	1.45573i	−0.754206	−	0.656638i	$-0.771978\pi$
$983$	−4.79711	−	45.6414i	−0.153004	−	1.45573i	0.601202	−	0.799097i	$-0.294689\pi$
$984$	−12.4288	−	23.9210i	−0.396217	−	0.762575i
$985$	−0.483681	+	0.102810i	−0.0154113	+	0.00327578i
$986$	−3.57908	−	1.59351i	−0.113981	−	0.0507477i
$987$	−7.73604	+	1.28838i	−0.246241	+	0.0410095i
$988$	−38.3576	−	8.15316i	−1.22032	−	0.259387i
$989$	−0.331841			−0.0105519
$990$	1.35072	−	1.42130i	0.0429287	−	0.0451718i
$991$	−28.3187			−0.899573			−0.449786	−	0.893136i	$-0.648500\pi$
$991$	−28.3187			−0.899573			−0.449786	+	0.893136i	$0.648500\pi$
$992$	−11.1084	−	2.36116i	−0.352691	−	0.0749668i
$993$	9.00854	+	10.9456i	0.285877	+	0.347348i
$994$	−23.1169	−	10.2923i	−0.733225	−	0.326453i
$995$	2.88543	−	0.613316i	0.0914741	−	0.0194434i
$996$	−24.9950	−	1.11081i	−0.791995	−	0.0351972i
$997$	3.67386	+	34.9545i	0.116352	+	1.10702i	0.884433	+	0.466666i	$0.154545\pi$
$997$	3.67386	+	34.9545i	0.116352	+	1.10702i	−0.768081	+	0.640353i	$0.778788\pi$
$998$	−0.143516	−	0.104271i	−0.00454293	−	0.00330064i
$999$	−5.70188	+	11.8827i	−0.180400	+	0.375953i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.16.4	✓	72
3.2	odd	2		297.2.n.b.181.6		72
9.2	odd	6		891.2.f.e.82.4		36
9.4	even	3	inner	99.2.m.b.49.6	yes	72
9.5	odd	6		297.2.n.b.280.4		72
9.7	even	3		891.2.f.f.82.6		36
11.3	even	5		1089.2.e.p.727.7		36
11.8	odd	10		1089.2.e.o.727.12		36
11.9	even	5	inner	99.2.m.b.97.6	yes	72
33.20	odd	10		297.2.n.b.262.4		72
99.20	odd	30		891.2.f.e.163.4		36
99.25	even	15		9801.2.a.cm.1.12		18
99.31	even	15	inner	99.2.m.b.31.4	yes	72
99.47	odd	30		9801.2.a.cp.1.7		18
99.52	odd	30		9801.2.a.co.1.7		18
99.58	even	15		1089.2.e.p.364.7		36
99.74	even	30		9801.2.a.cn.1.12		18
99.85	odd	30		1089.2.e.o.364.12		36
99.86	odd	30		297.2.n.b.64.6		72
99.97	even	15		891.2.f.f.163.6		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.16.4	✓	72	1.1	even	1	trivial
99.2.m.b.31.4	yes	72	99.31	even	15	inner
99.2.m.b.49.6	yes	72	9.4	even	3	inner
99.2.m.b.97.6	yes	72	11.9	even	5	inner
297.2.n.b.64.6		72	99.86	odd	30
297.2.n.b.181.6		72	3.2	odd	2
297.2.n.b.262.4		72	33.20	odd	10
297.2.n.b.280.4		72	9.5	odd	6
891.2.f.e.82.4		36	9.2	odd	6
891.2.f.e.163.4		36	99.20	odd	30
891.2.f.f.82.6		36	9.7	even	3
891.2.f.f.163.6		36	99.97	even	15
1089.2.e.o.364.12		36	99.85	odd	30
1089.2.e.o.727.12		36	11.8	odd	10
1089.2.e.p.364.7		36	99.58	even	15
1089.2.e.p.727.7		36	11.3	even	5
9801.2.a.cm.1.12		18	99.25	even	15
9801.2.a.cn.1.12		18	99.74	even	30
9801.2.a.co.1.7		18	99.52	odd	30
9801.2.a.cp.1.7		18	99.47	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 $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-0.662860 - 0.140895i) q^{2} +(0.607840 - 1.62189i) q^{3} +(-1.40756 - 0.626686i) q^{4} +(-0.284440 + 0.0604596i) q^{5} +(-0.631430 + 0.989445i) q^{6} +(-0.350744 - 3.33711i) q^{7} +(1.94121 + 1.41037i) q^{8} +(-2.26106 - 1.97170i) q^{9} +0.197063 q^{10} +(-0.141911 + 3.31359i) q^{11} +(-1.87199 + 1.90198i) q^{12} +(2.80146 - 3.11133i) q^{13} +(-0.237688 + 2.26145i) q^{14} +(-0.0748353 + 0.498081i) q^{15} +(0.973911 + 1.08164i) q^{16} +(1.07639 - 3.31279i) q^{17} +(1.22096 + 1.62553i) q^{18} +(4.91808 + 3.57319i) q^{19} +(0.438256 + 0.0931541i) q^{20} +(-5.62562 - 1.45956i) q^{21} +(0.560936 - 2.17645i) q^{22} +(3.34545 + 5.79449i) q^{23} +(3.46741 - 2.29115i) q^{24} +(-4.49048 + 1.99929i) q^{25} +(-2.29535 + 1.66767i) q^{26} +(-4.57225 + 2.46871i) q^{27} +(-1.59762 + 4.91698i) q^{28} +(0.173489 + 1.65064i) q^{29} +(0.119783 - 0.319614i) q^{30} +(1.31351 - 1.45880i) q^{31} +(-2.89263 - 5.01019i) q^{32} +(5.28802 + 2.24430i) q^{33} +(-1.18025 + 2.04426i) q^{34} +(0.301526 + 0.928002i) q^{35} +(1.94694 + 4.19226i) q^{36} +(2.05205 - 1.49091i) q^{37} +(-2.75655 - 3.06146i) q^{38} +(-3.34341 - 6.43485i) q^{39} +(-0.637428 - 0.283801i) q^{40} +(0.678008 - 6.45081i) q^{41} +(3.52335 + 1.76011i) q^{42} +(-0.0247979 + 0.0429513i) q^{43} +(2.27633 - 4.57514i) q^{44} +(0.762345 + 0.424128i) q^{45} +(-1.40115 - 4.31230i) q^{46} +(1.23275 - 0.548854i) q^{47} +(2.34628 - 0.922115i) q^{48} +(-4.16623 + 0.885559i) q^{49} +(3.25825 - 0.692562i) q^{50} +(-4.71871 - 3.75943i) q^{51} +(-5.89305 + 2.62375i) q^{52} +(-0.580228 - 1.78576i) q^{53} +(3.37859 - 0.992204i) q^{54} +(-0.159973 - 0.951098i) q^{55} +(4.02569 - 6.97270i) q^{56} +(8.78473 - 5.80465i) q^{57} +(0.117568 - 1.11858i) q^{58} +(-13.3141 - 5.92783i) q^{59} +(0.417475 - 0.654180i) q^{60} +(2.58227 + 2.86790i) q^{61} +(-1.07621 + 0.781913i) q^{62} +(-5.78672 + 8.23696i) q^{63} +(0.311959 + 0.960112i) q^{64} +(-0.608737 + 1.05436i) q^{65} +(-3.18901 - 2.23271i) q^{66} +(4.46764 + 7.73818i) q^{67} +(-3.59116 + 3.98839i) q^{68} +(11.4315 - 1.90383i) q^{69} +(-0.0691185 - 0.657619i) q^{70} +(-3.43882 + 10.5836i) q^{71} +(-1.60836 - 7.01642i) q^{72} +(-1.01830 + 0.739838i) q^{73} +(-1.57029 + 0.699137i) q^{74} +(0.513136 + 8.49831i) q^{75} +(-4.68321 - 8.11157i) q^{76} +(11.1076 - 0.688649i) q^{77} +(1.30957 + 4.73648i) q^{78} +(-2.06109 - 0.438098i) q^{79} +(-0.342415 - 0.248779i) q^{80} +(1.22479 + 8.91627i) q^{81} +(-1.35831 + 4.18046i) q^{82} +(6.27328 + 6.96718i) q^{83} +(7.00371 + 5.57991i) q^{84} +(-0.105879 + 1.00737i) q^{85} +(0.0224892 - 0.0249768i) q^{86} +(2.78260 + 0.721943i) q^{87} +(-4.94886 + 6.23222i) q^{88} -8.41413 q^{89} +(-0.445570 - 0.388548i) q^{90} +(-11.3654 - 8.25748i) q^{91} +(-1.07760 - 10.2526i) q^{92} +(-1.56761 - 3.01709i) q^{93} +(-0.894469 + 0.190125i) q^{94} +(-1.61493 - 0.719014i) q^{95} +(-9.88424 + 1.64614i) q^{96} +(-0.961993 - 0.204478i) q^{97} +2.88640 q^{98} +(6.85427 - 7.21242i) 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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