LMFDB - Embedded newform 165.2.w.a.13.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(7,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 14]))

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

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

chi := DirichletCharacter("165.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.w (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$12$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			13.5
Character	$\chi$	$=$	165.13
Dual form			165.2.w.a.127.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.584989 + 0.298067i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.922202 + 1.26930i) q^{4} +(-0.0319712 - 2.23584i) q^{5} +(0.624415 - 0.202885i) q^{6} +(-0.357848 - 2.25936i) q^{7} +(0.366555 - 2.31434i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(-0.584989 + 0.298067i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.922202 + 1.26930i) q^{4} +(-0.0319712 - 2.23584i) q^{5} +(0.624415 - 0.202885i) q^{6} +(-0.357848 - 2.25936i) q^{7} +(0.366555 - 2.31434i) q^{8} +(0.951057 + 0.309017i) q^{9} +(0.685133 + 1.29841i) q^{10} +(1.89169 - 2.72425i) q^{11} +(1.10941 - 1.10941i) q^{12} +(-0.256723 - 0.503848i) q^{13} +(0.882778 + 1.21504i) q^{14} +(-0.318185 + 2.21331i) q^{15} +(-0.494264 - 1.52119i) q^{16} +(1.89454 - 3.71825i) q^{17} +(-0.648466 + 0.102707i) q^{18} +(-2.80136 + 2.03531i) q^{19} +(2.86744 + 2.02131i) q^{20} +2.28752i q^{21} +(-0.294608 + 2.15750i) q^{22} +(-3.94726 - 3.94726i) q^{23} +(-0.724084 + 2.22850i) q^{24} +(-4.99796 + 0.142965i) q^{25} +(0.300361 + 0.218225i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(3.19782 + 1.62937i) q^{28} +(1.63386 + 1.18707i) q^{29} +(-0.473581 - 1.38961i) q^{30} +(-1.93549 + 5.95684i) q^{31} +(4.05632 + 4.05632i) q^{32} +(-2.29456 + 2.39478i) q^{33} +2.73984i q^{34} +(-5.04013 + 0.872324i) q^{35} +(-1.26930 + 0.922202i) q^{36} +(6.33729 - 1.00373i) q^{37} +(1.03211 - 2.02563i) q^{38} +(0.174743 + 0.537805i) q^{39} +(-5.18621 - 0.745566i) q^{40} +(1.53400 + 2.11137i) q^{41} +(-0.681835 - 1.33818i) q^{42} +(0.483189 - 0.483189i) q^{43} +(1.71338 + 4.91343i) q^{44} +(0.660506 - 2.13629i) q^{45} +(3.48565 + 1.13256i) q^{46} +(0.714160 - 4.50903i) q^{47} +(0.250212 + 1.57978i) q^{48} +(1.68074 - 0.546106i) q^{49} +(2.88114 - 1.57336i) q^{50} +(-2.45288 + 3.37610i) q^{51} +(0.876286 + 0.138790i) q^{52} +(-10.2185 + 5.20659i) q^{53} +0.656549 q^{54} +(-6.15146 - 4.14241i) q^{55} -5.36009 q^{56} +(3.08526 - 1.57202i) q^{57} +(-1.30962 - 0.207423i) q^{58} +(-0.165099 + 0.227240i) q^{59} +(-2.51593 - 2.44499i) q^{60} +(13.2363 - 4.30075i) q^{61} +(-0.643293 - 4.06159i) q^{62} +(0.357848 - 2.25936i) q^{63} +(-0.539585 - 0.175322i) q^{64} +(-1.11832 + 0.590101i) q^{65} +(0.628489 - 2.08486i) q^{66} +(-9.17965 + 9.17965i) q^{67} +(2.97243 + 5.83372i) q^{68} +(3.28117 + 4.51615i) q^{69} +(2.68841 - 2.01260i) q^{70} +(-2.74129 - 8.43681i) q^{71} +(1.06378 - 2.08779i) q^{72} +(15.5644 - 2.46515i) q^{73} +(-3.40807 + 2.47611i) q^{74} +(4.95879 + 0.640648i) q^{75} -5.43274i q^{76} +(-6.83199 - 3.29914i) q^{77} +(-0.262525 - 0.262525i) q^{78} +(4.44605 - 13.6835i) q^{79} +(-3.38533 + 1.15373i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-1.52670 - 0.777894i) q^{82} +(4.24025 + 2.16052i) q^{83} +(-2.90356 - 2.10956i) q^{84} +(-8.37398 - 4.11702i) q^{85} +(-0.138638 + 0.426683i) q^{86} +(-1.42805 - 1.42805i) q^{87} +(-5.61142 - 5.37659i) q^{88} -1.06361i q^{89} +(0.250368 + 1.44658i) q^{90} +(-1.04651 + 0.760331i) q^{91} +(8.65043 - 1.37009i) q^{92} +(2.84352 - 5.58072i) q^{93} +(0.926216 + 2.85060i) q^{94} +(4.64018 + 6.19832i) q^{95} +(-3.37183 - 4.64093i) q^{96} +(4.46003 + 8.75330i) q^{97} +(-0.820440 + 0.820440i) q^{98} +(2.64094 - 2.00635i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q - 8 q^{5} - 20 q^{7}+O(q^{10}) $ 96 * q - 8 * q^5 - 20 * q^7	$ 96 q - 8 q^{5} - 20 q^{7} + 8 q^{11} - 16 q^{12} - 12 q^{15} + 8 q^{16} - 20 q^{17} - 60 q^{20} - 32 q^{22} + 32 q^{23} - 32 q^{25} - 60 q^{28} - 40 q^{30} + 16 q^{31} - 16 q^{33} + 24 q^{36} + 8 q^{37} + 56 q^{38} - 120 q^{41} + 12 q^{42} - 200 q^{46} + 60 q^{47} + 48 q^{48} + 80 q^{50} + 40 q^{51} + 40 q^{52} + 36 q^{53} + 80 q^{55} - 80 q^{56} + 40 q^{57} + 44 q^{58} + 48 q^{60} + 40 q^{61} + 80 q^{62} + 20 q^{63} + 56 q^{66} - 48 q^{67} + 80 q^{68} - 92 q^{70} + 32 q^{71} - 60 q^{73} - 24 q^{77} - 96 q^{78} - 80 q^{80} + 24 q^{81} + 32 q^{82} - 200 q^{83} - 80 q^{85} - 80 q^{86} - 144 q^{88} + 56 q^{91} + 20 q^{92} - 72 q^{93} + 60 q^{95} + 32 q^{97}+O(q^{100}) $ 96 * q - 8 * q^5 - 20 * q^7 + 8 * q^11 - 16 * q^12 - 12 * q^15 + 8 * q^16 - 20 * q^17 - 60 * q^20 - 32 * q^22 + 32 * q^23 - 32 * q^25 - 60 * q^28 - 40 * q^30 + 16 * q^31 - 16 * q^33 + 24 * q^36 + 8 * q^37 + 56 * q^38 - 120 * q^41 + 12 * q^42 - 200 * q^46 + 60 * q^47 + 48 * q^48 + 80 * q^50 + 40 * q^51 + 40 * q^52 + 36 * q^53 + 80 * q^55 - 80 * q^56 + 40 * q^57 + 44 * q^58 + 48 * q^60 + 40 * q^61 + 80 * q^62 + 20 * q^63 + 56 * q^66 - 48 * q^67 + 80 * q^68 - 92 * q^70 + 32 * q^71 - 60 * q^73 - 24 * q^77 - 96 * q^78 - 80 * q^80 + 24 * q^81 + 32 * q^82 - 200 * q^83 - 80 * q^85 - 80 * q^86 - 144 * q^88 + 56 * q^91 + 20 * q^92 - 72 * q^93 + 60 * q^95 + 32 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−0.584989	+	0.298067i	−0.413650	+	0.210765i	−0.648415	−	0.761287i	$-0.724568\pi$
$2$	−0.584989	+	0.298067i	−0.413650	+	0.210765i	0.234765	+	0.972052i	$0.424568\pi$
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$4$	−0.922202	+	1.26930i	−0.461101	+	0.634651i
$5$	−0.0319712	−	2.23584i	−0.0142979	−	0.999898i
$5$	−0.0319712	−	2.23584i	−0.0142979	−	0.999898i
$6$	0.624415	−	0.202885i	0.254916	−	0.0828274i
$7$	−0.357848	−	2.25936i	−0.135254	−	0.853958i	−0.958254	−	0.285917i	$-0.907702\pi$
$7$	−0.357848	−	2.25936i	−0.135254	−	0.853958i	0.823001	−	0.568040i	$-0.192298\pi$
$8$	0.366555	−	2.31434i	0.129597	−	0.818242i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	0.685133	+	1.29841i	0.216658	+	0.410594i
$11$	1.89169	−	2.72425i	0.570365	−	0.821391i
$11$	1.89169	−	2.72425i	0.570365	−	0.821391i
$12$	1.10941	−	1.10941i	0.320259	−	0.320259i
$13$	−0.256723	−	0.503848i	−0.0712022	−	0.139742i	0.852662	−	0.522464i	$-0.174987\pi$
$13$	−0.256723	−	0.503848i	−0.0712022	−	0.139742i	−0.923864	+	0.382721i	$0.874987\pi$
$14$	0.882778	+	1.21504i	0.235932	+	0.324733i
$15$	−0.318185	+	2.21331i	−0.0821550	+	0.571475i
$16$	−0.494264	−	1.52119i	−0.123566	−	0.380297i
$17$	1.89454	−	3.71825i	0.459494	−	0.901808i	−0.538744	−	0.842470i	$-0.681101\pi$
$17$	1.89454	−	3.71825i	0.459494	−	0.901808i	0.998238	−	0.0593381i	$-0.0188990\pi$
$18$	−0.648466	+	0.102707i	−0.152845	+	0.0242082i
$19$	−2.80136	+	2.03531i	−0.642676	+	0.466931i	−0.860768	−	0.508997i	$-0.830017\pi$
$19$	−2.80136	+	2.03531i	−0.642676	+	0.466931i	0.218093	+	0.975928i	$0.430017\pi$
$20$	2.86744	+	2.02131i	0.641179	+	0.451980i
$21$			2.28752i			0.499179i
$22$	−0.294608	+	2.15750i	−0.0628107	+	0.459982i
$23$	−3.94726	−	3.94726i	−0.823060	−	0.823060i	0.163485	−	0.986546i	$-0.447726\pi$
$23$	−3.94726	−	3.94726i	−0.823060	−	0.823060i	−0.986546	+	0.163485i	$0.947726\pi$
$24$	−0.724084	+	2.22850i	−0.147803	+	0.454891i
$25$	−4.99796	+	0.142965i	−0.999591	+	0.0285929i
$26$	0.300361	+	0.218225i	0.0589056	+	0.0427974i
$27$	−0.891007	−	0.453990i	−0.171474	−	0.0873705i
$28$	3.19782	+	1.62937i	0.604331	+	0.307922i
$29$	1.63386	+	1.18707i	0.303400	+	0.220433i	0.729059	−	0.684450i	$-0.239958\pi$
$29$	1.63386	+	1.18707i	0.303400	+	0.220433i	−0.425659	+	0.904884i	$0.639958\pi$
$30$	−0.473581	−	1.38961i	−0.0864637	−	0.253706i
$31$	−1.93549	+	5.95684i	−0.347625	+	1.06988i	0.612538	+	0.790441i	$0.290148\pi$
$31$	−1.93549	+	5.95684i	−0.347625	+	1.06988i	−0.960163	+	0.279439i	$0.909852\pi$
$32$	4.05632	+	4.05632i	0.717063	+	0.717063i
$33$	−2.29456	+	2.39478i	−0.399432	+	0.416878i
$34$			2.73984i			0.469878i
$35$	−5.04013	+	0.872324i	−0.851937	+	0.147450i
$36$	−1.26930	+	0.922202i	−0.211550	+	0.153700i
$37$	6.33729	−	1.00373i	1.04184	−	0.165012i	0.388014	−	0.921654i	$-0.373161\pi$
$37$	6.33729	−	1.00373i	1.04184	−	0.165012i	0.653830	+	0.756642i	$0.273161\pi$
$38$	1.03211	−	2.02563i	0.167430	−	0.328600i
$39$	0.174743	+	0.537805i	0.0279814	+	0.0861177i
$40$	−5.18621	−	0.745566i	−0.820011	−	0.117884i
$41$	1.53400	+	2.11137i	0.239571	+	0.329741i	0.911825	−	0.410580i	$-0.134674\pi$
$41$	1.53400	+	2.11137i	0.239571	+	0.329741i	−0.672254	+	0.740321i	$0.734674\pi$
$42$	−0.681835	−	1.33818i	−0.105209	−	0.206485i
$43$	0.483189	−	0.483189i	0.0736856	−	0.0736856i	−0.669304	−	0.742989i	$-0.733407\pi$
$43$	0.483189	−	0.483189i	0.0736856	−	0.0736856i	0.742989	+	0.669304i	$0.233407\pi$
$44$	1.71338	+	4.91343i	0.258301	+	0.740727i
$45$	0.660506	−	2.13629i	0.0984624	−	0.318459i
$46$	3.48565	+	1.13256i	0.513931	+	0.166986i
$47$	0.714160	−	4.50903i	0.104171	−	0.657709i	−0.879249	−	0.476363i	$-0.841955\pi$
$47$	0.714160	−	4.50903i	0.104171	−	0.657709i	0.983419	−	0.181346i	$-0.0580453\pi$
$48$	0.250212	+	1.57978i	0.0361150	+	0.228021i
$49$	1.68074	−	0.546106i	0.240106	−	0.0780152i
$50$	2.88114	−	1.57336i	0.407454	−	0.222506i
$51$	−2.45288	+	3.37610i	−0.343472	+	0.472748i
$52$	0.876286	+	0.138790i	0.121519	+	0.0192467i
$53$	−10.2185	+	5.20659i	−1.40362	+	0.715180i	−0.981518	−	0.191369i	$-0.938707\pi$
$53$	−10.2185	+	5.20659i	−1.40362	+	0.715180i	−0.422101	+	0.906549i	$0.638707\pi$
$54$	0.656549			0.0893450
$55$	−6.15146	−	4.14241i	−0.829463	−	0.558562i
$56$	−5.36009			−0.716273
$57$	3.08526	−	1.57202i	0.408653	−	0.208219i
$58$	−1.30962	−	0.207423i	−0.171961	−	0.0272360i
$59$	−0.165099	+	0.227240i	−0.0214941	+	0.0295841i	−0.819629	−	0.572895i	$-0.805820\pi$
$59$	−0.165099	+	0.227240i	−0.0214941	+	0.0295841i	0.798135	+	0.602479i	$0.205820\pi$
$60$	−2.51593	−	2.44499i	−0.324806	−	0.315647i
$61$	13.2363	−	4.30075i	1.69474	−	0.550654i	0.707061	−	0.707153i	$-0.250021\pi$
$61$	13.2363	−	4.30075i	1.69474	−	0.550654i	0.987678	+	0.156498i	$0.0500206\pi$
$62$	−0.643293	−	4.06159i	−0.0816983	−	0.515823i
$63$	0.357848	−	2.25936i	0.0450845	−	0.284653i
$64$	−0.539585	−	0.175322i	−0.0674481	−	0.0219152i
$65$	−1.11832	+	0.590101i	−0.138710	+	0.0731930i
$66$	0.628489	−	2.08486i	0.0773617	−	0.256628i
$67$	−9.17965	+	9.17965i	−1.12147	+	1.12147i	−0.129953	+	0.991520i	$0.541483\pi$
$67$	−9.17965	+	9.17965i	−1.12147	+	1.12147i	−0.991520	+	0.129953i	$0.958517\pi$
$68$	2.97243	+	5.83372i	0.360460	+	0.707443i
$69$	3.28117	+	4.51615i	0.395007	+	0.543680i
$70$	2.68841	−	2.01260i	0.321326	−	0.240551i
$71$	−2.74129	−	8.43681i	−0.325331	−	1.00126i	−0.971291	−	0.237894i	$-0.923543\pi$
$71$	−2.74129	−	8.43681i	−0.325331	−	1.00126i	0.645960	−	0.763371i	$-0.276457\pi$
$72$	1.06378	−	2.08779i	0.125368	−	0.246049i
$73$	15.5644	−	2.46515i	1.82167	−	0.288524i	0.850336	−	0.526240i	$-0.176399\pi$
$73$	15.5644	−	2.46515i	1.82167	−	0.288524i	0.971335	+	0.237716i	$0.0763986\pi$
$74$	−3.40807	+	2.47611i	−0.396180	+	0.287841i
$75$	4.95879	+	0.640648i	0.572591	+	0.0739757i
$76$		−	5.43274i		−	0.623177i
$77$	−6.83199	−	3.29914i	−0.778578	−	0.375971i
$78$	−0.262525	−	0.262525i	−0.0297251	−	0.0297251i
$79$	4.44605	−	13.6835i	0.500220	−	1.53952i	−0.308442	−	0.951243i	$-0.599808\pi$
$79$	4.44605	−	13.6835i	0.500220	−	1.53952i	0.808662	−	0.588274i	$-0.200192\pi$
$80$	−3.38533	+	1.15373i	−0.378491	+	0.128991i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	−1.52670	−	0.777894i	−0.168596	−	0.0859041i
$83$	4.24025	+	2.16052i	0.465428	+	0.237148i	0.670947	−	0.741506i	$-0.265888\pi$
$83$	4.24025	+	2.16052i	0.465428	+	0.237148i	−0.205518	+	0.978653i	$0.565888\pi$
$84$	−2.90356	−	2.10956i	−0.316804	−	0.230172i
$85$	−8.37398	−	4.11702i	−0.908285	−	0.446553i
$86$	−0.138638	+	0.426683i	−0.0149497	+	0.0460104i
$87$	−1.42805	−	1.42805i	−0.153103	−	0.153103i
$88$	−5.61142	−	5.37659i	−0.598179	−	0.573146i
$89$		−	1.06361i		−	0.112742i	−0.998410	−	0.0563712i	$-0.982047\pi$
$89$		−	1.06361i		−	0.112742i	0.998410	−	0.0563712i	$-0.0179530\pi$
$90$	0.250368	+	1.44658i	0.0263911	+	0.152483i
$91$	−1.04651	+	0.760331i	−0.109704	+	0.0797044i
$92$	8.65043	−	1.37009i	0.901870	−	0.142842i
$93$	2.84352	−	5.58072i	0.294859	−	0.578694i
$94$	0.926216	+	2.85060i	0.0955319	+	0.294017i
$95$	4.64018	+	6.19832i	0.476073	+	0.635934i
$96$	−3.37183	−	4.64093i	−0.344136	−	0.473663i
$97$	4.46003	+	8.75330i	0.452847	+	0.888763i	0.998705	+	0.0508848i	$0.0162041\pi$
$97$	4.46003	+	8.75330i	0.452847	+	0.888763i	−0.545857	+	0.837878i	$0.683796\pi$
$98$	−0.820440	+	0.820440i	−0.0828769	+	0.0828769i
$99$	2.64094	−	2.00635i	0.265424	−	0.201646i
$100$	4.42766	−	6.47576i	0.442766	−	0.647576i
$101$	17.1276	+	5.56508i	1.70426	+	0.553746i	0.989360	−	0.145485i	$-0.0464743\pi$
$101$	17.1276	+	5.56508i	1.70426	+	0.553746i	0.714895	+	0.699231i	$0.246474\pi$
$102$	0.428605	−	2.70610i	0.0424382	−	0.267944i
$103$	−0.0125560	−	0.0792756i	−0.00123718	−	0.00781126i	0.987062	−	0.160339i	$-0.0512587\pi$
$103$	−0.0125560	−	0.0792756i	−0.00123718	−	0.00781126i	−0.988299	+	0.152528i	$0.951259\pi$
$104$	−1.26018	+	0.409456i	−0.123571	+	0.0401505i
$105$	5.11454	−	0.0731348i	0.499128	−	0.00713722i
$106$	4.42581	−	6.09160i	0.429872	−	0.591668i
$107$	−0.126372	−	0.0200153i	−0.0122168	−	0.00193495i	0.150323	−	0.988637i	$-0.451969\pi$
$107$	−0.126372	−	0.0200153i	−0.0122168	−	0.00193495i	−0.162540	+	0.986702i	$0.551969\pi$
$108$	1.39794	−	0.712285i	0.134517	−	0.0685397i
$109$	−11.9295			−1.14264			−0.571319	−	0.820728i	$-0.693568\pi$
$109$	−11.9295			−1.14264			−0.571319	+	0.820728i	$0.693568\pi$
$110$	4.83325	+	0.589719i	0.460833	+	0.0562275i
$111$	−6.41628			−0.609006
$112$	−3.26004	+	1.66107i	−0.308045	+	0.156957i
$113$	0.907660	+	0.143759i	0.0853855	+	0.0135237i	0.198981	−	0.980003i	$-0.436237\pi$
$113$	0.907660	+	0.143759i	0.0853855	+	0.0135237i	−0.113596	+	0.993527i	$0.536237\pi$
$114$	−1.33628	+	1.83923i	−0.125154	+	0.172260i
$115$	−8.69924	+	8.95163i	−0.811208	+	0.834744i
$116$	−3.01350	+	0.979145i	−0.279796	+	0.0909113i
$117$	−0.0884608	−	0.558520i	−0.00817821	−	0.0516352i
$118$	0.0288487	−	0.182144i	0.00265574	−	0.0167677i
$119$	−9.07882	−	2.94989i	−0.832254	−	0.270416i
$120$	5.00572	+	1.54769i	0.456958	+	0.141284i
$121$	−3.84305	−	10.3068i	−0.349368	−	0.936986i
$122$	−6.46121	+	6.46121i	−0.584970	+	0.584970i
$123$	−1.18482	−	2.32535i	−0.106832	−	0.209669i
$124$	−5.77611	−	7.95013i	−0.518710	−	0.713943i
$125$	0.479437	+	11.1701i	0.0428821	+	0.999080i
$126$	0.464104	+	1.42836i	0.0413456	+	0.127249i
$127$	−4.29545	+	8.43030i	−0.381160	+	0.748068i	−0.999277	−	0.0380178i	$-0.987896\pi$
$127$	−4.29545	+	8.43030i	−0.381160	+	0.748068i	0.618117	+	0.786086i	$0.287896\pi$
$128$	−10.9638	+	1.73650i	−0.969076	+	0.153487i
$129$	−0.552827	+	0.401653i	−0.0486737	+	0.0353635i
$130$	0.478313	−	0.678536i	0.0419508	−	0.0595115i
$131$			12.4777i			1.09018i	0.838377	+	0.545091i	$0.183505\pi$
$131$			12.4777i			1.09018i	−0.838377	+	0.545091i	$0.816495\pi$
$132$	−0.923652	−	5.12097i	−0.0803936	−	0.445723i
$133$	5.60095	+	5.60095i	0.485664	+	0.485664i
$134$	2.63385	−	8.10615i	0.227530	−	0.700265i
$135$	−0.986563	+	2.00666i	−0.0849099	+	0.172706i
$136$	−7.91083	−	5.74755i	−0.678348	−	0.492849i
$137$	−4.67140	−	2.38020i	−0.399105	−	0.203354i	0.242906	−	0.970050i	$-0.421899\pi$
$137$	−4.67140	−	2.38020i	−0.399105	−	0.203354i	−0.642010	+	0.766696i	$0.721899\pi$
$138$	−3.26557	−	1.66389i	−0.277983	−	0.141640i
$139$	14.3520	+	10.4273i	1.21732	+	0.884434i	0.995875	−	0.0907394i	$-0.0289230\pi$
$139$	14.3520	+	10.4273i	1.21732	+	0.884434i	0.221444	+	0.975173i	$0.428923\pi$
$140$	3.54077	−	7.20190i	0.299250	−	0.608672i
$141$	−1.41073	+	4.34179i	−0.118805	+	0.365645i
$142$	4.11836	+	4.11836i	0.345605	+	0.345605i
$143$	−1.85825	−	0.253744i	−0.155394	−	0.0212192i
$144$		−	1.59947i		−	0.133289i
$145$	2.60186	−	3.69100i	0.216073	−	0.306521i
$146$	−8.37021	+	6.08131i	−0.692723	+	0.503293i
$147$	−1.74548	+	0.276457i	−0.143965	+	0.0228018i
$148$	−4.57022	+	8.96957i	−0.375670	+	0.737294i
$149$	−4.71705	−	14.5176i	−0.386436	−	1.18933i	−0.935433	−	0.353504i	$-0.884990\pi$
$149$	−4.71705	−	14.5176i	−0.386436	−	1.18933i	0.548997	−	0.835824i	$-0.315010\pi$
$150$	−3.09179	+	1.10328i	−0.252444	+	0.0900823i
$151$	9.08766	+	12.5081i	0.739543	+	1.01789i	0.998645	+	0.0520436i	$0.0165735\pi$
$151$	9.08766	+	12.5081i	0.739543	+	1.01789i	−0.259102	+	0.965850i	$0.583427\pi$
$152$	3.68353	+	7.22934i	0.298774	+	0.586377i
$153$	2.95082	−	2.95082i	0.238560	−	0.238560i
$154$	4.98001	−	0.106432i	0.401300	−	0.00857650i
$155$	13.3804	+	4.13701i	1.07474	+	0.332292i
$156$	−0.843786	−	0.274163i	−0.0675569	−	0.0219506i
$157$	−2.41060	+	15.2199i	−0.192387	+	1.21468i	0.682693	+	0.730705i	$0.260809\pi$
$157$	−2.41060	+	15.2199i	−0.192387	+	1.21468i	−0.875080	+	0.483978i	$0.839191\pi$
$158$	1.47772	+	9.32994i	0.117561	+	0.742250i
$159$	10.9072	−	3.54396i	0.864996	−	0.281054i
$160$	8.93959	−	9.19897i	0.706737	−	0.727242i
$161$	−7.50576	+	10.3308i	−0.591537	+	0.814181i
$162$	−0.648466	−	0.102707i	−0.0509483	−	0.00806941i
$163$	−2.96983	+	1.51320i	−0.232615	+	0.118523i	−0.566413	−	0.824121i	$-0.691669\pi$
$163$	−2.96983	+	1.51320i	−0.232615	+	0.118523i	0.333799	+	0.942644i	$0.391669\pi$
$164$	−4.09462			−0.319736
$165$	5.42771	+	5.05371i	0.422547	+	0.393431i
$166$	−3.12448			−0.242507
$167$	−6.89079	+	3.51103i	−0.533225	+	0.271692i	−0.699802	−	0.714337i	$-0.746729\pi$
$167$	−6.89079	+	3.51103i	−0.533225	+	0.271692i	0.166577	+	0.986028i	$0.446729\pi$
$168$	5.29410	+	0.838503i	0.408449	+	0.0646919i
$169$	7.45325	−	10.2585i	0.573327	−	0.789117i
$170$	6.12583	−	0.0875957i	0.469830	−	0.00671828i
$171$	−3.29320	+	1.07002i	−0.251837	+	0.0818268i
$172$	0.167715	+	1.05891i	0.0127881	+	0.0807412i
$173$	3.13270	−	19.7791i	0.238175	−	1.50378i	−0.521374	−	0.853328i	$-0.674581\pi$
$173$	3.13270	−	19.7791i	0.238175	−	1.50378i	0.759549	−	0.650450i	$-0.225419\pi$
$174$	1.26105	+	0.409738i	0.0955996	+	0.0310622i
$175$	2.11151	+	11.2410i	0.159616	+	0.849741i
$176$	−5.07908	−	1.53111i	−0.382850	−	0.115412i
$177$	0.198615	−	0.198615i	0.0149288	−	0.0149288i
$178$	0.317027	+	0.622200i	0.0237622	+	0.0466359i
$179$	13.9636	+	19.2193i	1.04369	+	1.43652i	0.894152	+	0.447763i	$0.147779\pi$
$179$	13.9636	+	19.2193i	1.04369	+	1.43652i	0.149540	+	0.988756i	$0.452221\pi$
$180$	2.10248	+	2.80847i	0.156709	+	0.209331i
$181$	0.202879	+	0.624398i	0.0150799	+	0.0464111i	0.958313	−	0.285719i	$-0.0922325\pi$
$181$	0.202879	+	0.624398i	0.0150799	+	0.0464111i	−0.943233	+	0.332131i	$0.892233\pi$
$182$	0.385565	−	0.756715i	0.0285800	−	0.0560914i
$183$	−13.7462	+	2.17718i	−1.01615	+	0.160942i
$184$	−10.5822	+	7.68840i	−0.780128	+	0.566796i
$185$	−2.44678	−	14.1371i	−0.179891	−	1.03938i
$186$			4.11222i			0.301523i
$187$	−6.54555	−	12.1950i	−0.478658	−	0.891784i
$188$	5.06472	+	5.06472i	0.369382	+	0.369382i
$189$	−0.706884	+	2.17556i	−0.0514182	+	0.158249i
$190$	−4.56197	−	2.24287i	−0.330960	−	0.162715i
$191$	−13.8464	−	10.0600i	−1.00189	−	0.727917i	−0.0393988	−	0.999224i	$-0.512544\pi$
$191$	−13.8464	−	10.0600i	−1.00189	−	0.727917i	−0.962493	+	0.271307i	$0.912544\pi$
$192$	0.505515	+	0.257573i	0.0364824	+	0.0185887i
$193$	7.17142	+	3.65402i	0.516210	+	0.263022i	0.692630	−	0.721293i	$-0.256452\pi$
$193$	7.17142	+	3.65402i	0.516210	+	0.263022i	−0.176420	+	0.984315i	$0.556452\pi$
$194$	−5.21814	−	3.79120i	−0.374641	−	0.272192i
$195$	1.19686	−	0.407893i	0.0857089	−	0.0292098i
$196$	−0.856810	+	2.63699i	−0.0612007	+	0.188356i
$197$	1.04712	+	1.04712i	0.0746042	+	0.0746042i	0.743424	−	0.668820i	$-0.233200\pi$
$197$	1.04712	+	1.04712i	0.0746042	+	0.0746042i	−0.668820	+	0.743424i	$0.733200\pi$
$198$	−0.946895	+	1.96087i	−0.0672929	+	0.139353i
$199$		−	25.1470i		−	1.78263i	−0.453388	−	0.891313i	$-0.649785\pi$
$199$		−	25.1470i		−	1.78263i	0.453388	−	0.891313i	$-0.350215\pi$
$200$	−1.50116	+	11.6194i	−0.106148	+	0.821613i
$201$	10.5026	−	7.63062i	0.740800	−	0.538223i
$202$	−11.6782	+	1.84965i	−0.821676	+	0.130141i
$203$	2.09734	−	4.11627i	0.147205	−	0.288905i
$204$	−2.02324	−	6.22689i	−0.141655	−	0.435969i
$205$	4.67164	−	3.49728i	0.326282	−	0.244261i
$206$	0.0309746	+	0.0426328i	0.00215810	+	0.00297037i
$207$	−2.53430	−	4.97384i	−0.176146	−	0.345705i
$208$	−0.639558	+	0.639558i	−0.0443454	+	0.0443454i
$209$	0.245386	+	11.4818i	0.0169737	+	0.794210i
$210$	−2.97015	+	1.56726i	−0.204960	+	0.108151i
$211$	−18.0279	−	5.85763i	−1.24109	−	0.403256i	−0.386373	−	0.922343i	$-0.626272\pi$
$211$	−18.0279	−	5.85763i	−1.24109	−	0.403256i	−0.854722	+	0.519087i	$0.826272\pi$
$212$	2.81479	−	17.7719i	0.193321	−	1.22058i
$213$	1.38773	+	8.76177i	0.0950855	+	0.600346i
$214$	0.0798921	−	0.0259585i	0.00546131	−	0.00177449i
$215$	−1.09578	−	1.06488i	−0.0747316	−	0.0726245i
$216$	−1.37729	+	1.89568i	−0.0937127	+	0.128985i
$217$	14.1513	+	2.24134i	0.960650	+	0.152152i
$218$	6.97863	−	3.55579i	0.472652	−	0.240828i
$219$	−15.7584			−1.06485
$220$	10.9309	−	3.98792i	0.736958	−	0.268866i
$221$	−2.35981			−0.158738
$222$	3.75346	−	1.91248i	0.251915	−	0.128357i
$223$	13.2960	+	2.10589i	0.890369	+	0.141021i	0.584827	−	0.811158i	$-0.301162\pi$
$223$	13.2960	+	2.10589i	0.890369	+	0.141021i	0.305542	+	0.952179i	$0.401162\pi$
$224$	7.71314	−	10.6162i	0.515356	−	0.709327i
$225$	−4.79752	−	1.40849i	−0.319834	−	0.0938990i
$226$	−0.573821	+	0.186446i	−0.0381700	+	0.0124022i
$227$	−2.05926	−	13.0016i	−0.136678	−	0.862948i	−0.956797	−	0.290756i	$-0.906093\pi$
$227$	−2.05926	−	13.0016i	−0.136678	−	0.862948i	0.820120	−	0.572192i	$-0.193907\pi$
$228$	−0.849867	+	5.36585i	−0.0562838	+	0.355362i
$229$	−8.64604	−	2.80927i	−0.571346	−	0.185642i	0.00907393	−	0.999959i	$-0.497112\pi$
$229$	−8.64604	−	2.80927i	−0.571346	−	0.185642i	−0.580420	+	0.814317i	$0.697112\pi$
$230$	2.42077	−	7.82957i	0.159621	−	0.516266i
$231$	6.23178	+	4.32728i	0.410021	+	0.284714i
$232$	3.34618	−	3.34618i	0.219687	−	0.219687i
$233$	−0.337310	−	0.662009i	−0.0220979	−	0.0433696i	0.879694	−	0.475541i	$-0.157748\pi$
$233$	−0.337310	−	0.662009i	−0.0220979	−	0.0433696i	−0.901792	+	0.432171i	$0.857748\pi$
$234$	0.218225	+	0.300361i	0.0142658	+	0.0196352i
$235$	−10.1043	−	1.45259i	−0.659131	−	0.0947564i
$236$	−0.136181	−	0.419122i	−0.00886463	−	0.0272825i
$237$	−6.53189	+	12.8195i	−0.424292	+	0.832719i
$238$	6.19028	−	0.980444i	0.401256	−	0.0635527i
$239$	8.30472	−	6.03373i	0.537188	−	0.390290i	−0.285852	−	0.958274i	$-0.592277\pi$
$239$	8.30472	−	6.03373i	0.537188	−	0.390290i	0.823039	+	0.567984i	$0.192277\pi$
$240$	3.52413	−	0.609942i	0.227482	−	0.0393716i
$241$			4.66411i			0.300442i	0.988652	+	0.150221i	$0.0479985\pi$
$241$			4.66411i			0.300442i	−0.988652	+	0.150221i	$0.952002\pi$
$242$	5.32027	+	4.88391i	0.342000	+	0.313949i
$243$	−0.707107	−	0.707107i	−0.0453609	−	0.0453609i
$244$	−6.74763	+	20.7671i	−0.431973	+	1.32948i
$245$	−1.27474	−	3.74041i	−0.0814402	−	0.238966i
$246$	1.38622	+	1.00715i	0.0883820	+	0.0642133i
$247$	1.74466	+	0.888948i	0.111010	+	0.0565624i
$248$	13.0767	+	6.66290i	0.830369	+	0.423094i
$249$	−3.85007	−	2.79724i	−0.243988	−	0.177268i
$250$	−3.60989	−	6.39146i	−0.228309	−	0.404231i
$251$	5.38169	−	16.5631i	0.339689	−	1.04546i	−0.624676	−	0.780884i	$-0.714769\pi$
$251$	5.38169	−	16.5631i	0.339689	−	1.04546i	0.964366	−	0.264573i	$-0.0852309\pi$
$252$	2.53780	+	2.53780i	0.159867	+	0.159867i
$253$	−18.2203	+	3.28633i	−1.14550	+	0.206610i
$254$		−	6.21197i		−	0.389773i
$255$	7.62684	+	5.37631i	0.477611	+	0.336677i
$256$	6.81413	−	4.95076i	0.425883	−	0.309422i
$257$	5.42026	−	0.858485i	0.338106	−	0.0535508i	0.0149273	−	0.999889i	$-0.495248\pi$
$257$	5.42026	−	0.858485i	0.338106	−	0.0535508i	0.323179	+	0.946338i	$0.395248\pi$
$258$	0.203679	−	0.399742i	0.0126805	−	0.0248869i
$259$	−4.53556	−	13.9590i	−0.281826	−	0.867372i
$260$	0.282296	−	1.96367i	0.0175073	−	0.121782i
$261$	1.18707	+	1.63386i	0.0734777	+	0.101133i
$262$	−3.71919	−	7.29932i	−0.229772	−	0.450954i
$263$	15.7581	−	15.7581i	0.971687	−	0.971687i	−0.0279234	−	0.999610i	$-0.508889\pi$
$263$	15.7581	−	15.7581i	0.971687	−	0.971687i	0.999610	+	0.0279234i	$0.00888946\pi$
$264$	4.70125	+	6.18821i	0.289342	+	0.380858i
$265$	11.9678	+	22.6805i	0.735176	+	1.39325i
$266$	−4.94596	−	1.60704i	−0.303256	−	0.0985338i
$267$	−0.166385	+	1.05051i	−0.0101826	+	0.0642904i
$268$	−3.18626	−	20.1172i	−0.194632	−	1.22886i
$269$	11.9084	−	3.86926i	0.726066	−	0.235913i	0.0774147	−	0.996999i	$-0.475333\pi$
$269$	11.9084	−	3.86926i	0.726066	−	0.235913i	0.648651	+	0.761086i	$0.275333\pi$
$270$	−0.0209906	−	1.46794i	−0.00127745	−	0.0893359i
$271$	4.90684	−	6.75369i	0.298069	−	0.410257i	−0.633545	−	0.773706i	$-0.718401\pi$
$271$	4.90684	−	6.75369i	0.298069	−	0.410257i	0.931614	+	0.363449i	$0.118401\pi$
$272$	−6.59256	−	1.04416i	−0.399732	−	0.0633114i
$273$	1.15256	−	0.587261i	0.0697563	−	0.0355426i
$274$	3.44218			0.207950
$275$	−9.06509	+	13.8861i	−0.546646	+	0.837364i
$276$	−8.75826			−0.527185
$277$	12.1014	−	6.16596i	0.727101	−	0.370477i	−0.0509300	−	0.998702i	$-0.516219\pi$
$277$	12.1014	−	6.16596i	0.727101	−	0.370477i	0.778031	+	0.628226i	$0.216219\pi$
$278$	−11.5038	−	1.82202i	−0.689952	−	0.109278i
$279$	−3.68153	+	5.06719i	−0.220407	+	0.303365i
$280$	0.171368	+	11.9843i	0.0102412	+	0.716199i
$281$	−17.5059	+	5.68800i	−1.04431	+	0.339318i	−0.780434	−	0.625238i	$-0.785002\pi$
$281$	−17.5059	+	5.68800i	−1.04431	+	0.339318i	−0.263878	+	0.964556i	$0.585002\pi$
$282$	−0.468881	−	2.96040i	−0.0279214	−	0.176289i
$283$	−1.66677	+	10.5236i	−0.0990791	+	0.625561i	0.887315	+	0.461164i	$0.152568\pi$
$283$	−1.66677	+	10.5236i	−0.0990791	+	0.625561i	−0.986394	+	0.164397i	$0.947432\pi$
$284$	13.2369	+	4.30092i	0.785464	+	0.255213i
$285$	−3.61342	−	6.84789i	−0.214041	−	0.405634i
$286$	1.16269	−	0.405444i	0.0687511	−	0.0239744i
$287$	4.22141	−	4.22141i	0.249182	−	0.249182i
$288$	2.60432	+	5.11126i	0.153461	+	0.301184i
$289$	−0.243731	−	0.335467i	−0.0143371	−	0.0197334i
$290$	−0.421894	+	2.93472i	−0.0247745	+	0.172333i
$291$	−3.03580	−	9.34324i	−0.177962	−	0.547710i
$292$	−11.2245	+	22.0292i	−0.656862	+	1.28916i
$293$	−23.4482	+	3.71383i	−1.36986	+	0.216964i	−0.797638	−	0.603137i	$-0.793917\pi$
$293$	−23.4482	+	3.71383i	−1.36986	+	0.216964i	−0.572219	+	0.820101i	$0.693917\pi$
$294$	0.938684	−	0.681994i	0.0547452	−	0.0397747i
$295$	0.513350	+	0.361871i	0.0298884	+	0.0210689i
$296$		−	15.0345i		−	0.873865i
$297$	−2.92229	+	1.56851i	−0.169568	+	0.0910144i
$298$	7.08664	+	7.08664i	0.410518	+	0.410518i
$299$	−0.975465	+	3.00217i	−0.0564126	+	0.173620i
$300$	−5.38618	+	5.70339i	−0.310971	+	0.329285i
$301$	−1.26461	−	0.918790i	−0.0728907	−	0.0529582i
$302$	−9.04443	−	4.60837i	−0.520448	−	0.265182i
$303$	−16.0461	−	8.17591i	−0.921826	−	0.469694i
$304$	4.48069	+	3.25541i	0.256985	+	0.186711i
$305$	−10.0390	−	29.4568i	−0.574829	−	1.68669i
$306$	−0.846656	+	2.60574i	−0.0484001	+	0.148960i
$307$	−5.23285	−	5.23285i	−0.298655	−	0.298655i	0.541832	−	0.840487i	$-0.317731\pi$
$307$	−5.23285	−	5.23285i	−0.298655	−	0.298655i	−0.840487	+	0.541832i	$0.817731\pi$
$308$	10.4881	−	5.62939i	0.597614	−	0.320764i
$309$			0.0802638i			0.00456605i
$310$	−9.06050	+	1.56815i	−0.514602	+	0.0890652i
$311$	20.2360	−	14.7023i	1.14748	−	0.833694i	0.159337	−	0.987224i	$-0.449064\pi$
$311$	20.2360	−	14.7023i	1.14748	−	0.833694i	0.988144	+	0.153531i	$0.0490644\pi$
$312$	1.30872	−	0.207280i	0.0740914	−	0.0117349i
$313$	−7.02847	+	13.7941i	−0.397273	+	0.779691i	−0.999831	−	0.0183835i	$-0.994148\pi$
$313$	−7.02847	+	13.7941i	−0.397273	+	0.779691i	0.602558	+	0.798075i	$0.294148\pi$
$314$	−3.12638	−	9.62202i	−0.176432	−	0.543002i
$315$	−5.06301	−	0.727855i	−0.285268	−	0.0410100i
$316$	13.2684	+	18.2624i	0.746405	+	1.02734i
$317$	9.84792	+	19.3276i	0.553115	+	1.08555i	0.983161	+	0.182742i	$0.0584972\pi$
$317$	9.84792	+	19.3276i	0.553115	+	1.08555i	−0.430046	+	0.902807i	$0.641503\pi$
$318$	−5.32425	+	5.32425i	−0.298569	+	0.298569i
$319$	6.32462	−	2.20548i	0.354111	−	0.123483i
$320$	−0.374740	+	1.21203i	−0.0209486	+	0.0677545i
$321$	0.121685	+	0.0395378i	0.00679179	+	0.00220679i
$322$	1.31152	−	8.28063i	0.0730883	−	0.461461i
$323$	2.26048	+	14.2721i	0.125777	+	0.794122i
$324$	−1.49215	+	0.484830i	−0.0828974	+	0.0269350i
$325$	1.35512	+	2.48151i	0.0751688	+	0.137649i
$326$	1.28628	−	1.77042i	0.0712406	−	0.0980542i
$327$	11.7826	+	1.86618i	0.651581	+	0.103200i
$328$	5.44872	−	2.77626i	0.300855	−	0.153293i
$329$	−10.4431			−0.575745
$330$	−4.68150	−	1.33855i	−0.257708	−	0.0736845i
$331$	12.3465			0.678626			0.339313	−	0.940674i	$-0.389805\pi$
$331$	12.3465			0.678626			0.339313	+	0.940674i	$0.389805\pi$
$332$	−6.65272	+	3.38973i	−0.365115	+	0.186036i
$333$	6.33729	+	1.00373i	0.347281	+	0.0550039i
$334$	2.98451	−	4.10783i	0.163305	−	0.224771i
$335$	20.8177	+	20.2307i	1.13739	+	1.10532i
$336$	3.47975	−	1.13064i	0.189836	−	0.0616815i
$337$	−2.78201	−	17.5649i	−0.151546	−	0.956821i	−0.939863	−	0.341552i	$-0.889047\pi$
$337$	−2.78201	−	17.5649i	−0.151546	−	0.956821i	0.788317	−	0.615269i	$-0.210953\pi$
$338$	−1.30235	+	8.22269i	−0.0708383	+	0.447256i
$339$	−0.873996	−	0.283979i	−0.0474690	−	0.0154236i
$340$	12.9482	−	6.83239i	0.702217	−	0.370538i
$341$	12.5666	+	16.5412i	0.680517	+	0.895758i
$342$	1.60755	−	1.60755i	0.0869261	−	0.0869261i
$343$	−9.10490	−	17.8694i	−0.491618	−	0.964855i
$344$	−0.941147	−	1.29538i	−0.0507432	−	0.0698421i
$345$	9.99248	−	7.48056i	0.537977	−	0.402740i
$346$	4.06290	+	12.5043i	0.218423	+	0.672237i
$347$	−14.6482	+	28.7488i	−0.786358	+	1.54331i	0.0522852	+	0.998632i	$0.483350\pi$
$347$	−14.6482	+	28.7488i	−0.786358	+	1.54331i	−0.838643	+	0.544682i	$0.816650\pi$
$348$	3.12957	−	0.495675i	0.167762	−	0.0265710i
$349$	−25.3926	+	18.4488i	−1.35923	+	0.987542i	−0.360741	+	0.932666i	$0.617476\pi$
$349$	−25.3926	+	18.4488i	−1.35923	+	0.987542i	−0.998493	+	0.0548755i	$0.982524\pi$
$350$	−4.58579	−	5.94651i	−0.245121	−	0.317854i
$351$			0.565482i			0.0301832i
$352$	18.7237	−	3.37713i	0.997977	−	0.180002i
$353$	−12.6811	−	12.6811i	−0.674946	−	0.674946i	0.283906	−	0.958852i	$-0.408370\pi$
$353$	−12.6811	−	12.6811i	−0.674946	−	0.674946i	−0.958852	+	0.283906i	$0.908370\pi$
$354$	−0.0569871	+	0.175388i	−0.00302883	+	0.00932178i
$355$	−18.7757	+	6.39881i	−0.996511	+	0.339613i
$356$	1.35004	+	0.980862i	0.0715520	+	0.0519856i
$357$	8.50558	+	4.33381i	0.450163	+	0.229370i
$358$	−13.8972	−	7.08099i	−0.734491	−	0.374242i
$359$	18.0832	+	13.1382i	0.954395	+	0.693409i	0.951842	−	0.306588i	$-0.0991873\pi$
$359$	18.0832	+	13.1382i	0.954395	+	0.693409i	0.00255307	+	0.999997i	$0.499187\pi$
$360$	−4.70198	−	2.31170i	−0.247816	−	0.121837i
$361$	−2.16618	+	6.66682i	−0.114010	+	0.350885i
$362$	−0.304795	−	0.304795i	−0.0160196	−	0.0160196i
$363$	2.18339	+	10.7811i	0.114598	+	0.565863i
$364$		−	2.02951i		−	0.106375i
$365$	−6.00930	−	34.7206i	−0.314541	−	1.81736i
$366$	7.39241	−	5.37090i	0.386408	−	0.280742i
$367$	−9.87677	+	1.56433i	−0.515563	+	0.0816572i	−0.408794	−	0.912627i	$-0.634051\pi$
$367$	−9.87677	+	1.56433i	−0.515563	+	0.0816572i	−0.106769	+	0.994284i	$0.534051\pi$
$368$	−4.05353	+	7.95551i	−0.211305	+	0.414709i
$369$	0.806472	+	2.48206i	0.0419832	+	0.129211i
$370$	5.64513	+	7.54073i	0.293477	+	0.392024i
$371$	15.4202	+	21.2241i	0.800578	+	1.10190i
$372$	4.46132	+	8.75584i	0.231309	+	0.453969i
$373$	11.0756	−	11.0756i	0.573472	−	0.573472i	−0.359625	−	0.933097i	$-0.617095\pi$
$373$	11.0756	−	11.0756i	0.573472	−	0.573472i	0.933097	+	0.359625i	$0.117095\pi$
$374$	7.46399	+	5.18291i	0.385954	+	0.268002i
$375$	1.27385	−	11.1075i	0.0657812	−	0.573591i
$376$	−10.1736	−	3.30561i	−0.524665	−	0.170474i
$377$	0.178652	−	1.12797i	0.00920105	−	0.0580932i
$378$	−0.234944	−	1.48338i	−0.0120842	−	0.0762969i
$379$	−6.60617	+	2.14647i	−0.339336	+	0.110257i	−0.473728	−	0.880671i	$-0.657092\pi$
$379$	−6.60617	+	2.14647i	−0.339336	+	0.110257i	0.134392	+	0.990928i	$0.457092\pi$
$380$	−12.1467	+	0.173691i	−0.623114	+	0.00891015i
$381$	5.56136	−	7.65455i	0.284917	−	0.392155i
$382$	11.0986	+	1.75784i	0.567852	+	0.0899389i
$383$	9.62372	−	4.90353i	0.491749	−	0.250559i	−0.190488	−	0.981689i	$-0.561007\pi$
$383$	9.62372	−	4.90353i	0.491749	−	0.250559i	0.682237	+	0.731131i	$0.261007\pi$
$384$	11.1005			0.566471
$385$	−7.15791	+	15.3807i	−0.364801	+	0.783874i
$386$	−5.28435			−0.268966
$387$	0.608853	−	0.310226i	0.0309498	−	0.0157697i
$388$	−15.2236	−	2.41119i	−0.772863	−	0.122409i
$389$	−11.6253	+	16.0008i	−0.589425	+	0.811274i	−0.994689	−	0.102926i	$-0.967180\pi$
$389$	−11.6253	+	16.0008i	−0.589425	+	0.811274i	0.405264	+	0.914200i	$0.367180\pi$
$390$	−0.578571	+	0.595357i	−0.0292971	+	0.0301471i
$391$	−22.1551	+	7.19864i	−1.12043	+	0.364051i
$392$	−0.647789	−	4.08998i	−0.0327183	−	0.206575i
$393$	1.95194	−	12.3241i	0.0984625	−	0.621668i
$394$	−0.924665	−	0.300442i	−0.0465840	−	0.0151361i
$395$	−30.7363	−	9.50317i	−1.54651	−	0.478156i
$396$	0.111185	+	5.20241i	0.00558725	+	0.261431i
$397$	−3.95034	+	3.95034i	−0.198262	+	0.198262i	−0.799255	−	0.600993i	$-0.794772\pi$
$397$	−3.95034	+	3.95034i	−0.198262	+	0.198262i	0.600993	+	0.799255i	$0.294772\pi$
$398$	7.49550	+	14.7108i	0.375716	+	0.737383i
$399$	−4.65581	−	6.40818i	−0.233082	−	0.320810i
$400$	2.68778	+	7.53216i	0.134389	+	0.376608i
$401$	5.11188	+	15.7328i	0.255275	+	0.785657i	0.993775	+	0.111403i	$0.0355345\pi$
$401$	5.11188	+	15.7328i	0.255275	+	0.785657i	−0.738500	+	0.674253i	$0.764466\pi$
$402$	−3.86950	+	7.59432i	−0.192993	+	0.378770i
$403$	3.49823	−	0.554065i	0.174259	−	0.0275999i
$404$	−22.8588	+	16.6079i	−1.13727	+	0.826275i
$405$	1.28833	−	1.82762i	0.0640175	−	0.0908154i
$406$			3.03312i			0.150531i
$407$	9.25375	−	19.1631i	0.458692	−	0.949878i
$408$	6.91432	+	6.91432i	0.342310	+	0.342310i
$409$	−1.80152	+	5.54452i	−0.0890796	+	0.274159i	−0.985666	−	0.168711i	$-0.946040\pi$
$409$	−1.80152	+	5.54452i	−0.0890796	+	0.274159i	0.896586	+	0.442870i	$0.146040\pi$
$410$	−1.69044	+	3.43833i	−0.0834847	+	0.169807i
$411$	4.24154	+	3.08166i	0.209220	+	0.152007i
$412$	0.112204	+	0.0571707i	0.00552789	+	0.00281660i
$413$	0.572497	+	0.291702i	0.0281707	+	0.0143537i
$414$	2.96507	+	2.15425i	0.145725	+	0.105876i
$415$	4.69500	−	9.54960i	0.230469	−	0.468771i
$416$	1.00242	−	3.08512i	0.0491475	−	0.151260i
$417$	−12.5441	−	12.5441i	−0.614286	−	0.614286i
$418$	−3.56588	−	6.64356i	−0.174413	−	0.324947i
$419$			9.39323i			0.458889i	0.973322	+	0.229445i	$0.0736910\pi$
$419$			9.39323i			0.458889i	−0.973322	+	0.229445i	$0.926309\pi$
$420$	−4.62380	+	6.55933i	−0.225619	+	0.320063i
$421$	−1.88055	+	1.36630i	−0.0916522	+	0.0665892i	−0.632668	−	0.774423i	$-0.718040\pi$
$421$	−1.88055	+	1.36630i	−0.0916522	+	0.0665892i	0.541015	+	0.841013i	$0.318040\pi$
$422$	12.2921	−	1.94688i	0.598371	−	0.0947727i
$423$	2.07257	−	4.06765i	0.100772	−	0.197776i
$424$	8.30416	+	25.5576i	0.403286	+	1.24119i
$425$	−8.93726	+	18.8545i	−0.433521	+	0.914577i
$426$	−3.42340	−	4.71191i	−0.165864	−	0.228293i
$427$	−14.4535	−	28.3666i	−0.699455	−	1.37276i
$428$	0.141946	−	0.141946i	0.00686121	−	0.00686121i
$429$	1.79567	+	0.541314i	0.0866960	+	0.0261349i
$430$	0.958427	+	0.296330i	0.0462195	+	0.0142903i
$431$	6.08144	+	1.97598i	0.292933	+	0.0951796i	0.451797	−	0.892121i	$-0.350783\pi$
$431$	6.08144	+	1.97598i	0.292933	+	0.0951796i	−0.158864	+	0.987300i	$0.550783\pi$
$432$	−0.250212	+	1.57978i	−0.0120383	+	0.0760071i
$433$	−1.49116	−	9.41479i	−0.0716604	−	0.452446i	−0.997262	−	0.0739470i	$-0.976440\pi$
$433$	−1.49116	−	9.41479i	−0.0716604	−	0.452446i	0.925602	−	0.378499i	$-0.123560\pi$
$434$	−8.94640	+	2.90686i	−0.429441	+	0.139534i
$435$	−3.14723	+	3.23854i	−0.150898	+	0.155276i
$436$	11.0014	−	15.1421i	0.526872	−	0.725177i
$437$	19.0916	+	3.02381i	0.913274	+	0.144648i
$438$	9.21848	−	4.69705i	0.440476	−	0.224434i
$439$	9.01068			0.430056			0.215028	−	0.976608i	$-0.431016\pi$
$439$	9.01068			0.430056			0.215028	+	0.976608i	$0.431016\pi$
$440$	−11.8418	+	12.7181i	−0.564535	+	0.606313i
$441$	1.76724			0.0841541
$442$	1.38046	−	0.703380i	0.0656618	−	0.0334564i
$443$	−7.39953	−	1.17197i	−0.351562	−	0.0556820i	−0.0218441	−	0.999761i	$-0.506954\pi$
$443$	−7.39953	−	1.17197i	−0.351562	−	0.0556820i	−0.329718	+	0.944079i	$0.606954\pi$
$444$	5.91711	−	8.14420i	0.280813	−	0.386506i
$445$	−2.37806	+	0.0340048i	−0.112731	+	0.00161198i
$446$	−8.40574	+	2.73119i	−0.398023	+	0.129326i
$447$	2.38793	+	15.0768i	0.112945	+	0.713107i
$448$	−0.203026	+	1.28185i	−0.00959207	+	0.0605619i
$449$	−20.8434	−	6.77244i	−0.983662	−	0.319611i	−0.227343	−	0.973815i	$-0.573004\pi$
$449$	−20.8434	−	6.77244i	−0.983662	−	0.319611i	−0.756319	+	0.654204i	$0.773004\pi$
$450$	3.22632	−	0.606032i	0.152090	−	0.0285686i
$451$	8.65374	−	0.184946i	0.407489	−	0.00870876i
$452$	−1.01952	+	1.01952i	−0.0479542	+	0.0479542i
$453$	−7.01908	−	13.7757i	−0.329785	−	0.647239i
$454$	5.08000	+	6.99202i	0.238416	+	0.328152i
$455$	1.73344	+	2.31551i	0.0812648	+	0.108553i
$456$	−2.50727	−	7.71657i	−0.117413	−	0.361361i
$457$	16.2789	−	31.9492i	0.761496	−	1.49452i	−0.104530	−	0.994522i	$-0.533334\pi$
$457$	16.2789	−	31.9492i	0.761496	−	1.49452i	0.866026	−	0.499998i	$-0.166666\pi$
$458$	5.89519	−	0.933706i	0.275464	−	0.0436292i
$459$	−3.37610	+	2.45288i	−0.157583	+	0.114491i
$460$	−3.33987	−	19.2972i	−0.155722	−	0.899735i
$461$		−	4.29523i		−	0.200049i	−0.994985	−	0.100024i	$-0.968108\pi$
$461$		−	4.29523i		−	0.200049i	0.994985	−	0.100024i	$-0.0318921\pi$
$462$	−4.93534	−	0.673923i	−0.229613	−	0.0313537i
$463$	6.58320	+	6.58320i	0.305947	+	0.305947i	0.843335	−	0.537388i	$-0.180589\pi$
$463$	6.58320	+	6.58320i	0.305947	+	0.305947i	−0.537388	+	0.843335i	$0.680589\pi$
$464$	0.998196	−	3.07213i	0.0463401	−	0.142620i
$465$	−12.5685	−	6.17923i	−0.582851	−	0.286555i
$466$	0.394646	+	0.286727i	0.0182816	+	0.0132824i
$467$	4.66622	+	2.37756i	0.215927	+	0.110020i	0.558609	−	0.829431i	$-0.311335\pi$
$467$	4.66622	+	2.37756i	0.215927	+	0.110020i	−0.342682	+	0.939451i	$0.611335\pi$
$468$	0.790509	+	0.402784i	0.0365413	+	0.0186187i
$469$	24.0251	+	17.4552i	1.10937	+	0.806007i
$470$	6.34387	−	2.16201i	0.292621	−	0.0997260i
$471$	4.76184	−	14.6555i	0.219414	−	0.675288i
$472$	0.465392	+	0.465392i	0.0214214	+	0.0214214i
$473$	−0.402284	−	2.23037i	−0.0184970	−	0.102552i
$474$		−	9.44624i		−	0.433880i
$475$	13.7101	−	10.5729i	0.629062	−	0.485116i
$476$	12.1168	−	8.80337i	0.555373	−	0.403502i
$477$	−11.3273	+	1.79407i	−0.518641	+	0.0821447i
$478$	−3.05972	+	6.00503i	−0.139948	+	0.274664i
$479$	−1.83485	−	5.64708i	−0.0838364	−	0.258022i	0.900348	−	0.435172i	$-0.143312\pi$
$479$	−1.83485	−	5.64708i	−0.0838364	−	0.258022i	−0.984184	+	0.177150i	$0.943312\pi$
$480$	−10.2686	+	7.68725i	−0.468694	+	0.350873i
$481$	−2.13266	−	2.93535i	−0.0972407	−	0.133840i
$482$	−1.39022	−	2.72845i	−0.0633226	−	0.124278i
$483$	9.02945	−	9.02945i	0.410854	−	0.410854i
$484$	16.6266	+	4.62700i	0.755753	+	0.210318i
$485$	19.4284	−	10.2518i	0.882197	−	0.465509i
$486$	0.624415	+	0.202885i	0.0283240	+	0.00920304i
$487$	3.71294	−	23.4426i	0.168249	−	1.06228i	−0.748592	−	0.663031i	$-0.769270\pi$
$487$	3.71294	−	23.4426i	0.168249	−	1.06228i	0.916841	−	0.399253i	$-0.130730\pi$
$488$	−5.10153	−	32.2098i	−0.230936	−	1.45807i
$489$	3.16998	−	1.02999i	0.143352	−	0.0465777i
$490$	1.86060	+	1.80814i	0.0840534	+	0.0816835i
$491$	6.92452	−	9.53078i	0.312499	−	0.430118i	−0.623659	−	0.781696i	$-0.714355\pi$
$491$	6.92452	−	9.53078i	0.312499	−	0.430118i	0.936159	+	0.351578i	$0.114355\pi$
$492$	4.04421	+	0.640540i	0.182327	+	0.0288778i
$493$	7.50923	−	3.82615i	0.338199	−	0.172321i
$494$	−1.28557			−0.0578407
$495$	−4.57031	−	5.84057i	−0.205420	−	0.262514i
$496$	10.0181			0.449826
$497$	−18.0808	+	9.21264i	−0.811036	+	0.413243i
$498$	3.08601	+	0.488777i	0.138288	+	0.0219026i
$499$	2.63263	−	3.62350i	0.117853	−	0.162210i	−0.746015	−	0.665929i	$-0.768035\pi$
$499$	2.63263	−	3.62350i	0.117853	−	0.162210i	0.863868	+	0.503719i	$0.168035\pi$
$500$	−14.6203	−	9.69250i	−0.653840	−	0.433462i
$501$	7.35520	−	2.38985i	0.328606	−	0.106771i
$502$	1.78869	+	11.2934i	0.0798333	+	0.504048i
$503$	−3.33040	+	21.0273i	−0.148495	+	0.937561i	0.795105	+	0.606472i	$0.207416\pi$
$503$	−3.33040	+	21.0273i	−0.148495	+	0.937561i	−0.943600	+	0.331089i	$0.892584\pi$
$504$	−5.09775	−	1.65636i	−0.227072	−	0.0737801i
$505$	11.8950	−	38.4724i	0.529322	−	1.71200i
$506$	9.67912	−	7.35333i	0.430290	−	0.326896i
$507$	−8.96628	+	8.96628i	−0.398206	+	0.398206i
$508$	−6.73932	−	13.2267i	−0.299009	−	0.586838i
$509$	9.11274	+	12.5426i	0.403915	+	0.555941i	0.961721	−	0.274030i	$-0.0883568\pi$
$509$	9.11274	+	12.5426i	0.403915	+	0.555941i	−0.557806	+	0.829971i	$0.688357\pi$
$510$	−6.06412	−	0.871774i	−0.268524	−	0.0386028i
$511$	−11.1393	−	34.2834i	−0.492775	−	1.51661i
$512$	7.56851	−	14.8540i	0.334484	−	0.656462i
$513$	3.42004	−	0.541681i	0.150998	−	0.0239158i
$514$	−2.91491	+	2.11780i	−0.128571	+	0.0934124i
$515$	−0.176846	+	0.0306078i	−0.00779277	+	0.00134874i
$516$		−	1.07211i		−	0.0471970i
$517$	−10.9327	−	10.4752i	−0.480821	−	0.460699i
$518$	6.81398	+	6.81398i	0.299389	+	0.299389i
$519$	−6.18827	+	19.0455i	−0.271635	+	0.836006i
$520$	0.955768	+	2.80446i	0.0419132	+	0.122984i
$521$	−5.41054	−	3.93098i	−0.237040	−	0.172220i	0.462924	−	0.886398i	$-0.346800\pi$
$521$	−5.41054	−	3.93098i	−0.237040	−	0.172220i	−0.699964	+	0.714179i	$0.746800\pi$
$522$	−1.18142	−	0.601965i	−0.0517094	−	0.0263473i
$523$	14.0488	+	7.15824i	0.614313	+	0.313008i	0.733318	−	0.679885i	$-0.237971\pi$
$523$	14.0488	+	7.15824i	0.614313	+	0.313008i	−0.119005	+	0.992894i	$0.537971\pi$
$524$	−15.8380	−	11.5070i	−0.691885	−	0.502684i
$525$	−0.327035	−	11.4329i	−0.0142730	−	0.498974i
$526$	−4.52135	+	13.9153i	−0.197140	+	0.606736i
$527$	18.4821	+	18.4821i	0.805094	+	0.805094i
$528$	4.77703	+	2.30681i	0.207894	+	0.100391i
$529$			8.16170i			0.354857i
$530$	−13.7613	−	9.70063i	−0.597754	−	0.421369i
$531$	−0.227240	+	0.165099i	−0.00986137	+	0.00716471i
$532$	−12.2745	+	1.94409i	−0.532167	+	0.0842870i
$533$	0.669996	−	1.31494i	0.0290207	−	0.0569564i
$534$	−0.215790	−	0.664133i	−0.00933815	−	0.0287399i
$535$	−0.0407108	+	0.283187i	−0.00176008	+	0.0122432i
$536$	17.8800	+	24.6097i	0.772297	+	1.06298i
$537$	−10.7852	−	21.1671i	−0.465414	−	0.913427i
$538$	−5.81297	+	5.81297i	−0.250615	+	0.250615i
$539$	1.69171	−	5.61182i	0.0728670	−	0.241718i
$540$	−1.63725	−	3.10279i	−0.0704560	−	0.133523i
$541$	−23.0628	−	7.49357i	−0.991548	−	0.322174i	−0.232065	−	0.972700i	$-0.574548\pi$
$541$	−23.0628	−	7.49357i	−0.991548	−	0.322174i	−0.759483	+	0.650527i	$0.774548\pi$
$542$	−0.857399	+	5.41340i	−0.0368284	+	0.232526i
$543$	−0.102704	−	0.648448i	−0.00440745	−	0.0278276i
$544$	22.7673	−	7.39754i	0.976139	−	0.317167i
$545$	0.381400	+	26.6724i	0.0163374	+	1.14252i
$546$	−0.499195	+	0.687083i	−0.0213636	+	0.0294044i
$547$	14.3099	+	2.26647i	0.611849	+	0.0969073i	0.454666	−	0.890662i	$-0.349759\pi$
$547$	14.3099	+	2.26647i	0.611849	+	0.0969073i	0.157183	+	0.987569i	$0.449759\pi$
$548$	7.32916	−	3.73439i	0.313086	−	0.159525i
$549$	13.9175			0.593985
$550$	1.16399	−	10.8252i	0.0496328	−	0.461589i
$551$	−6.99308			−0.297915
$552$	11.6546	−	5.93833i	0.496054	−	0.252752i
$553$	−32.5070	−	5.14861i	−1.38234	−	0.218941i
$554$	−5.24131	+	7.21404i	−0.222682	+	0.306495i
$555$	0.205136	+	14.3458i	0.00870753	+	0.608944i
$556$	−26.4708	+	8.60090i	−1.12261	+	0.364759i
$557$	−0.248107	−	1.56648i	−0.0105126	−	0.0663741i	0.981874	−	0.189533i	$-0.0606975\pi$
$557$	−0.248107	−	1.56648i	−0.0105126	−	0.0663741i	−0.992387	+	0.123159i	$0.960697\pi$
$558$	0.643293	−	4.06159i	0.0272328	−	0.171941i
$559$	−0.367500	−	0.119408i	−0.0155436	−	0.00505041i
$560$	3.81812	+	7.23582i	0.161345	+	0.305769i
$561$	4.55725	+	13.0688i	0.192407	+	0.551764i
$562$	8.54534	−	8.54534i	0.360463	−	0.360463i
$563$	7.82293	+	15.3534i	0.329697	+	0.647067i	0.995041	−	0.0994705i	$-0.0317149\pi$
$563$	7.82293	+	15.3534i	0.329697	+	0.647067i	−0.665343	+	0.746537i	$0.731715\pi$
$564$	−4.21007	−	5.79466i	−0.177276	−	0.243999i
$565$	0.292404	−	2.03398i	0.0123015	−	0.0855701i
$566$	−2.16168	−	6.65298i	−0.0908624	−	0.279646i
$567$	1.03851	−	2.03820i	0.0436135	−	0.0855963i
$568$	−20.5305	+	3.25170i	−0.861439	+	0.136438i
$569$	−29.8963	+	21.7209i	−1.25332	+	0.910588i	−0.998410	−	0.0563775i	$-0.982045\pi$
$569$	−29.8963	+	21.7209i	−1.25332	+	0.910588i	−0.254907	+	0.966965i	$0.582045\pi$
$570$	4.15494	+	2.92890i	0.174031	+	0.122678i
$571$			12.0522i			0.504369i	0.967679	+	0.252185i	$0.0811490\pi$
$571$			12.0522i			0.504369i	−0.967679	+	0.252185i	$0.918851\pi$
$572$	2.03576	−	2.12467i	0.0851193	−	0.0888370i
$573$	12.1022	+	12.1022i	0.505577	+	0.505577i
$574$	−1.21122	+	3.72774i	−0.0505552	+	0.155593i
$575$	20.2925	+	19.1639i	0.846257	+	0.799190i
$576$	−0.458998	−	0.333482i	−0.0191249	−	0.0138951i
$577$	29.3939	+	14.9769i	1.22368	+	0.623498i	0.941872	−	0.335971i	$-0.109065\pi$
$577$	29.3939	+	14.9769i	1.22368	+	0.623498i	0.281812	+	0.959470i	$0.409065\pi$
$578$	0.242572	+	0.123596i	0.0100897	+	0.00514093i
$579$	−6.51151	−	4.73089i	−0.270609	−	0.196609i
$580$	2.28556	+	6.70639i	0.0949025	+	0.278468i
$581$	3.36402	−	10.3534i	0.139563	−	0.429531i
$582$	4.56082	+	4.56082i	0.189052	+	0.189052i
$583$	−5.14617	+	37.6870i	−0.213133	+	1.56083i
$584$		−	36.9248i		−	1.52796i
$585$	−1.24593	+	0.215641i	−0.0515130	+	0.00891565i
$586$	12.6100	−	9.16168i	0.520913	−	0.378465i
$587$	−27.1544	+	4.30084i	−1.12078	+	0.177515i	−0.689209	−	0.724562i	$-0.742042\pi$
$587$	−27.1544	+	4.30084i	−1.12078	+	0.177515i	−0.431575	+	0.902077i	$0.642042\pi$
$588$	1.25878	−	2.47049i	0.0519111	−	0.101881i
$589$	−6.70198	−	20.6266i	−0.276150	−	0.849903i
$590$	−0.408166	−	0.0586777i	−0.0168039	−	0.00241572i
$591$	−0.870422	−	1.19803i	−0.0358044	−	0.0492805i
$592$	−4.65915	−	9.14409i	−0.191490	−	0.375820i
$593$	−16.6084	+	16.6084i	−0.682027	+	0.682027i	−0.960457	−	0.278430i	$-0.910186\pi$
$593$	−16.6084	+	16.6084i	−0.682027	+	0.682027i	0.278430	+	0.960457i	$0.410186\pi$
$594$	1.24198	−	1.78860i	0.0509592	−	0.0733872i
$595$	−6.30521	+	20.3931i	−0.258489	+	0.836035i
$596$	22.7773	+	7.40079i	0.932994	+	0.303148i
$597$	−3.93386	+	24.8374i	−0.161002	+	1.01653i
$598$	−0.324212	−	2.04699i	−0.0132580	−	0.0837077i
$599$	21.2516	−	6.90508i	0.868318	−	0.282134i	0.159220	−	0.987243i	$-0.449102\pi$
$599$	21.2516	−	6.90508i	0.868318	−	0.282134i	0.709098	+	0.705109i	$0.249102\pi$
$600$	3.30034	−	11.2415i	0.134736	−	0.458931i
$601$	−13.8991	+	19.1305i	−0.566956	+	0.780348i	−0.992190	−	0.124736i	$-0.960192\pi$
$601$	−13.8991	+	19.1305i	−0.566956	+	0.780348i	0.425234	+	0.905083i	$0.360192\pi$
$602$	1.01364	+	0.160545i	0.0413130	+	0.00654333i
$603$	−11.5670	+	5.89370i	−0.471046	+	0.240010i
$604$	−24.2572			−0.987011
$605$	−22.9216	+	8.92196i	−0.931895	+	0.362729i
$606$	11.8238			0.480308
$607$	24.5189	−	12.4930i	0.995190	−	0.507074i	0.120997	−	0.992653i	$-0.461391\pi$
$607$	24.5189	−	12.4930i	0.995190	−	0.507074i	0.874193	+	0.485578i	$0.161391\pi$
$608$	−19.6191	−	3.10735i	−0.795658	−	0.126020i
$609$	−2.71545	+	3.73749i	−0.110035	+	0.151451i
$610$	14.6528	+	14.2396i	0.593274	+	0.576546i
$611$	−2.45521	+	0.797744i	−0.0993270	+	0.0322733i
$612$	1.02423	+	6.46673i	0.0414020	+	0.261402i
$613$	5.74727	−	36.2868i	0.232130	−	1.46561i	−0.546147	−	0.837689i	$-0.683906\pi$
$613$	5.74727	−	36.2868i	0.232130	−	1.46561i	0.778277	−	0.627921i	$-0.216094\pi$
$614$	4.62090	+	1.50142i	0.186485	+	0.0605925i
$615$	−5.16122	+	2.72342i	−0.208121	+	0.109819i
$616$	−10.1396	+	14.6022i	−0.408537	+	0.588340i
$617$	−6.33681	+	6.33681i	−0.255110	+	0.255110i	−0.823062	−	0.567952i	$-0.807736\pi$
$617$	−6.33681	+	6.33681i	−0.255110	+	0.255110i	0.567952	+	0.823062i	$0.307736\pi$
$618$	−0.0239240	−	0.0469535i	−0.000962364	−	0.00188875i
$619$	22.8015	+	31.3835i	0.916468	+	1.26141i	0.964909	+	0.262584i	$0.0845747\pi$
$619$	22.8015	+	31.3835i	0.916468	+	1.26141i	−0.0484411	+	0.998826i	$0.515425\pi$
$620$	−17.5906	+	13.1686i	−0.706454	+	0.528865i
$621$	1.72502	+	5.30905i	0.0692225	+	0.213045i
$622$	−7.45559	+	14.6324i	−0.298942	+	0.586706i
$623$	−2.40308	+	0.380610i	−0.0962772	+	0.0152488i
$624$	0.731733	−	0.531635i	0.0292928	−	0.0212824i
$625$	24.9591	−	1.42906i	0.998365	−	0.0571625i
$626$		−	10.1644i		−	0.406250i
$627$	1.55378	−	11.3788i	0.0620519	−	0.454425i
$628$	−17.0956	−	17.0956i	−0.682190	−	0.682190i
$629$	8.27415	−	25.4652i	0.329912	−	1.01536i
$630$	3.17876	−	1.08333i	0.126645	−	0.0431608i
$631$	2.43755	+	1.77098i	0.0970372	+	0.0705016i	0.635246	−	0.772310i	$-0.280899\pi$
$631$	2.43755	+	1.77098i	0.0970372	+	0.0705016i	−0.538209	+	0.842812i	$0.680899\pi$
$632$	−30.0386	−	15.3054i	−1.19487	−	0.608817i
$633$	16.8897	+	8.60571i	0.671303	+	0.342046i
$634$	−11.5219	−	8.37112i	−0.457592	−	0.332460i
$635$	18.9861	+	9.33441i	0.753441	+	0.370425i
$636$	−5.56027	+	17.1128i	−0.220479	+	0.678565i
$637$	−0.706640	−	0.706640i	−0.0279981	−	0.0279981i
$638$	−3.04246	+	3.17534i	−0.120452	+	0.125713i
$639$		−	8.87098i		−	0.350931i
$640$	4.23307	+	24.4579i	0.167327	+	0.966783i
$641$	−25.3465	+	18.4153i	−1.00113	+	0.727362i	−0.962330	−	0.271885i	$-0.912353\pi$
$641$	−25.3465	+	18.4153i	−1.00113	+	0.727362i	−0.0387984	+	0.999247i	$0.512353\pi$
$642$	−0.0829693	+	0.0131410i	−0.00327454	+	0.000518636i
$643$	−11.3615	+	22.2981i	−0.448053	+	0.879353i	0.550943	+	0.834543i	$0.314268\pi$
$643$	−11.3615	+	22.2981i	−0.448053	+	0.879353i	−0.998996	+	0.0448101i	$0.985732\pi$
$644$	−6.19107	−	19.0542i	−0.243962	−	0.750839i
$645$	0.915705	+	1.22319i	0.0360559	+	0.0481631i
$646$	−5.57641	−	7.67527i	−0.219401	−	0.301979i
$647$	10.5099	+	20.6269i	0.413187	+	0.810926i	0.999999	+	0.00120240i	$0.000382736\pi$
$647$	10.5099	+	20.6269i	0.413187	+	0.810926i	−0.586812	+	0.809723i	$0.699617\pi$
$648$	1.65688	−	1.65688i	0.0650885	−	0.0650885i
$649$	0.306741	+	0.879638i	0.0120406	+	0.0345288i
$650$	−1.53239	−	1.04774i	−0.0601052	−	0.0410956i
$651$	−13.6264	−	4.42749i	−0.534061	−	0.173527i
$652$	0.818070	−	5.16509i	0.0320381	−	0.202280i
$653$	1.01083	+	6.38211i	0.0395567	+	0.249751i	0.999541	−	0.0303034i	$-0.00964736\pi$
$653$	1.01083	+	6.38211i	0.0395567	+	0.249751i	−0.959984	+	0.280055i	$0.909647\pi$
$654$	−7.44896	+	2.42031i	−0.291277	+	0.0946417i
$655$	27.8981	−	0.398926i	1.09007	−	0.0155873i
$656$	2.45359	−	3.37708i	0.0957966	−	0.131853i
$657$	15.5644	+	2.46515i	0.607224	+	0.0961748i
$658$	6.10909	−	3.11274i	0.238157	−	0.121347i
$659$	16.9238			0.659256			0.329628	−	0.944111i	$-0.393077\pi$
$659$	16.9238			0.659256			0.329628	+	0.944111i	$0.393077\pi$
$660$	−11.4201	+	2.22886i	−0.444528	+	0.0867583i
$661$	−10.2936			−0.400374			−0.200187	−	0.979758i	$-0.564155\pi$
$661$	−10.2936			−0.400374			−0.200187	+	0.979758i	$0.564155\pi$
$662$	−7.22258	+	3.68009i	−0.280713	+	0.143031i
$663$	2.33075	+	0.369155i	0.0905189	+	0.0143368i
$664$	6.55445	−	9.02143i	0.254362	−	0.350099i
$665$	12.3438	−	12.7019i	0.478670	−	0.492558i
$666$	−4.00642	+	1.30177i	−0.155246	+	0.0504424i
$667$	−1.76360	−	11.1349i	−0.0682869	−	0.431146i
$668$	1.89814	−	11.9844i	0.0734411	−	0.463689i
$669$	−12.8029	−	4.15992i	−0.494989	−	0.160832i
$670$	−18.2083	−	5.62970i	−0.703446	−	0.217494i
$671$	13.3227	−	44.1947i	0.514317	−	1.70612i
$672$	−9.27893	+	9.27893i	−0.357942	+	0.357942i
$673$	11.7833	+	23.1261i	0.454214	+	0.891445i	0.998615	+	0.0526199i	$0.0167572\pi$
$673$	11.7833	+	23.1261i	0.454214	+	0.891445i	−0.544401	+	0.838825i	$0.683243\pi$
$674$	6.86296	+	9.44606i	0.264351	+	0.363849i
$675$	4.51812	+	2.14164i	0.173902	+	0.0824318i
$676$	6.14776	+	18.9209i	0.236452	+	0.727725i
$677$	−7.72721	+	15.1655i	−0.296981	+	0.582858i	−0.990489	−	0.137591i	$-0.956064\pi$
$677$	−7.72721	+	15.1655i	−0.296981	+	0.582858i	0.693508	+	0.720449i	$0.256064\pi$
$678$	0.595923	−	0.0943850i	0.0228863	−	0.00362483i
$679$	18.1808	−	13.2092i	0.697717	−	0.506921i
$680$	−12.5977	+	17.8711i	−0.483099	+	0.685325i
$681$			13.1637i			0.504434i
$682$	−12.2817	−	5.93077i	−0.470290	−	0.227101i
$683$	6.67596	+	6.67596i	0.255449	+	0.255449i	0.823200	−	0.567751i	$-0.192187\pi$
$683$	6.67596	+	6.67596i	0.255449	+	0.255449i	−0.567751	+	0.823200i	$0.692187\pi$
$684$	1.67881	−	5.16684i	0.0641908	−	0.197559i
$685$	−5.17239	+	10.5206i	−0.197627	+	0.401971i
$686$	10.6525	+	7.73952i	0.406716	+	0.295496i
$687$	8.10012	+	4.12722i	0.309039	+	0.157463i
$688$	−0.973843	−	0.496198i	−0.0371274	−	0.0189174i
$689$	5.24666	+	3.81192i	0.199882	+	0.145223i
$690$	−3.61579	+	7.35448i	−0.137651	+	0.279980i
$691$	−15.6007	+	48.0139i	−0.593477	+	1.82653i	−0.0313116	+	0.999510i	$0.509968\pi$
$691$	−15.6007	+	48.0139i	−0.593477	+	1.82653i	−0.562165	+	0.827025i	$0.690032\pi$
$692$	22.2167	+	22.2167i	0.844551	+	0.844551i
$693$	−5.47812	−	5.24887i	−0.208097	−	0.199388i
$694$		−	21.1839i		−	0.804129i
$695$	22.8550	−	32.4221i	0.866938	−	1.22984i
$696$	−3.82844	+	2.78152i	−0.145117	+	0.105433i
$697$	10.7568	−	1.70371i	0.407444	−	0.0645328i
$698$	9.35542	−	18.3610i	0.354108	−	0.694976i
$699$	0.229596	+	0.706625i	0.00868414	+	0.0267270i
$700$	−16.2155	−	7.68634i	−0.612888	−	0.290516i
$701$	−24.9619	−	34.3571i	−0.942799	−	1.29765i	−0.954653	−	0.297722i	$-0.903773\pi$
$701$	−24.9619	−	34.3571i	−0.942799	−	1.29765i	0.0118538	−	0.999930i	$-0.496227\pi$
$702$	−0.168551	−	0.330801i	−0.00636156	−	0.0124853i
$703$	−15.7101	+	15.7101i	−0.592518	+	0.592518i
$704$	−1.49834	+	1.13831i	−0.0564710	+	0.0429016i
$705$	9.75266	+	3.01536i	0.367306	+	0.113565i
$706$	11.1981	+	3.63849i	0.421446	+	0.136936i
$707$	6.44447	−	40.6888i	0.242369	−	1.53026i
$708$	0.0689393	+	0.435265i	0.00259090	+	0.0163583i
$709$	−28.1146	+	9.13498i	−1.05586	+	0.343071i	−0.784967	−	0.619537i	$-0.787320\pi$
$709$	−28.1146	+	9.13498i	−1.05586	+	0.343071i	−0.270897	+	0.962608i	$0.587320\pi$
$710$	9.07631	−	9.33965i	0.340628	−	0.350511i
$711$	8.45689	−	11.6399i	0.317158	−	0.436531i
$712$	−2.46155	−	0.389871i	−0.0922505	−	0.0146110i
$713$	31.1531	−	15.8733i	1.16669	−	0.594459i
$714$	−6.26744			−0.234553
$715$	−0.507921	+	4.16285i	−0.0189952	+	0.155682i
$716$	−37.2724			−1.39294
$717$	−9.14636	+	4.66030i	−0.341577	+	0.174042i
$718$	−14.4946	−	2.29571i	−0.540932	−	0.0856752i
$719$	6.51185	−	8.96279i	0.242851	−	0.334256i	−0.670141	−	0.742234i	$-0.733766\pi$
$719$	6.51185	−	8.96279i	0.242851	−	0.334256i	0.912991	+	0.407979i	$0.133766\pi$
$720$	−3.57616	+	0.0511369i	−0.133276	+	0.00190576i
$721$	−0.174619	+	0.0567372i	−0.00650315	+	0.00211300i
$722$	−0.719966	−	4.54569i	−0.0267944	−	0.169173i
$723$	0.729627	−	4.60669i	0.0271351	−	0.171324i
$724$	−0.979645	−	0.318306i	−0.0364082	−	0.0118298i
$725$	−8.33567	−	5.69933i	−0.309579	−	0.211668i
$726$	−4.49076	−	5.65605i	−0.166668	−	0.209916i
$727$	−30.1515	+	30.1515i	−1.11826	+	1.11826i	−0.126262	+	0.991997i	$0.540298\pi$
$727$	−30.1515	+	30.1515i	−1.11826	+	1.11826i	−0.991997	+	0.126262i	$0.959702\pi$
$728$	1.37606	+	2.70067i	0.0510002	+	0.100094i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	13.8644	+	18.5200i	0.513146	+	0.685456i
$731$	−0.881195	−	2.71204i	−0.0325922	−	0.100308i
$732$	9.91324	−	19.4558i	0.366404	−	0.719108i
$733$	15.9286	−	2.52285i	0.588338	−	0.0931836i	0.144834	−	0.989456i	$-0.453735\pi$
$733$	15.9286	−	2.52285i	0.588338	−	0.0931836i	0.443504	+	0.896272i	$0.353735\pi$
$734$	5.31153	−	3.85905i	0.196052	−	0.142440i
$735$	0.673918	+	3.89377i	0.0248578	+	0.143624i
$736$		−	32.0227i		−	1.18037i
$737$	7.64262	+	42.3727i	0.281520	+	1.56082i
$738$	−1.21160	−	1.21160i	−0.0445996	−	0.0445996i
$739$	−4.13094	+	12.7137i	−0.151959	+	0.467682i	−0.997840	−	0.0656898i	$-0.979075\pi$
$739$	−4.13094	+	12.7137i	−0.151959	+	0.467682i	0.845881	+	0.533372i	$0.179075\pi$
$740$	20.2006	+	9.93152i	0.742590	+	0.365090i
$741$	−1.58412	−	1.15093i	−0.0581940	−	0.0422804i
$742$	−15.3469	−	7.81962i	−0.563402	−	0.287067i
$743$	−10.4378	−	5.31832i	−0.382925	−	0.195110i	0.251923	−	0.967747i	$-0.418937\pi$
$743$	−10.4378	−	5.31832i	−0.382925	−	0.195110i	−0.634848	+	0.772637i	$0.718937\pi$
$744$	−11.8734	−	8.62651i	−0.435299	−	0.316263i
$745$	−32.3082	+	11.0107i	−1.18368	+	0.403401i
$746$	−3.17783	+	9.78036i	−0.116349	+	0.358084i
$747$	3.36508	+	3.36508i	0.123122	+	0.123122i
$748$	21.5154	+	2.93794i	0.786681	+	0.107422i
$749$			0.292682i			0.0106944i
$750$	2.56560	+	6.87748i	0.0936825	+	0.251130i
$751$	18.5353	−	13.4667i	0.676363	−	0.491407i	−0.195786	−	0.980647i	$-0.562726\pi$
$751$	18.5353	−	13.4667i	0.676363	−	0.491407i	0.872149	+	0.489240i	$0.162726\pi$
$752$	−7.21206	+	1.14228i	−0.262997	+	0.0416546i
$753$	−7.90648	+	15.5173i	−0.288128	+	0.565483i
$754$	0.231700	+	0.713098i	0.00843800	+	0.0259695i
$755$	27.6755	−	20.7184i	1.00722	−	0.754021i
$756$	−2.10956	−	2.90356i	−0.0767239	−	0.105601i
$757$	4.63939	+	9.10532i	0.168622	+	0.330939i	0.959818	−	0.280624i	$-0.0905413\pi$
$757$	4.63939	+	9.10532i	0.168622	+	0.330939i	−0.791196	+	0.611562i	$0.790541\pi$
$758$	3.22474	−	3.22474i	0.117128	−	0.117128i
$759$	18.5101	−	0.395593i	0.671872	−	0.0143591i
$760$	16.0459	−	8.46692i	0.582045	−	0.307128i
$761$	−3.71701	−	1.20773i	−0.134742	−	0.0437802i	0.240870	−	0.970557i	$-0.422567\pi$
$761$	−3.71701	−	1.20773i	−0.134742	−	0.0437802i	−0.375611	+	0.926777i	$0.622567\pi$
$762$	−0.971766	+	6.13549i	−0.0352034	+	0.222265i
$763$	4.26894	+	26.9530i	0.154546	+	0.975765i
$764$	25.5384	−	8.29793i	0.923947	−	0.300208i
$765$	−6.69190	−	6.50322i	−0.241946	−	0.235124i
$766$	−4.16819	+	5.73703i	−0.150603	+	0.207287i
$767$	0.156879	+	0.0248472i	0.00566458	+	0.000897181i
$768$	−7.50471	+	3.82384i	−0.270803	+	0.137981i
$769$	−8.56594			−0.308896			−0.154448	−	0.988001i	$-0.549360\pi$
$769$	−8.56594			−0.308896			−0.154448	+	0.988001i	$0.549360\pi$
$770$	−0.397181	−	11.1311i	−0.0143134	−	0.401137i
$771$	−5.48782			−0.197639
$772$	−11.2516	+	5.73295i	−0.404952	+	0.206334i
$773$	16.8076	+	2.66206i	0.604527	+	0.0957477i	0.451193	−	0.892427i	$-0.350999\pi$
$773$	16.8076	+	2.66206i	0.604527	+	0.0957477i	0.153335	+	0.988174i	$0.450999\pi$
$774$	−0.263705	+	0.362958i	−0.00947867	+	0.0130463i
$775$	8.82190	−	30.0487i	0.316892	−	1.07938i
$776$	21.8929	−	7.11345i	0.785911	−	0.255358i
$777$	2.29605	+	14.4967i	0.0823703	+	0.520066i
$778$	2.03135	−	12.8254i	0.0728273	−	0.459814i
$779$	−8.59457	−	2.79255i	−0.307933	−	0.100053i
$780$	−0.586007	+	1.89534i	−0.0209824	+	0.0678639i
$781$	−28.1696	−	8.49186i	−1.00799	−	0.303862i
$782$	10.8148	−	10.8148i	0.386738	−	0.386738i
$783$	−0.916862	−	1.79944i	−0.0327660	−	0.0643068i
$784$	−1.66146	−	2.28680i	−0.0593378	−	0.0816715i
$785$	34.1064	+	4.90312i	1.21731	+	0.175000i
$786$	2.53154	+	7.79126i	0.0902969	+	0.277905i
$787$	9.73367	−	19.1034i	0.346968	−	0.680963i	−0.649902	−	0.760018i	$-0.725190\pi$
$787$	9.73367	−	19.1034i	0.346968	−	0.680963i	0.996870	+	0.0790547i	$0.0251902\pi$
$788$	−2.29477	+	0.363455i	−0.0817477	+	0.0129476i
$789$	−18.0292	+	13.0990i	−0.641857	+	0.466336i
$790$	20.8130	−	3.60223i	0.740493	−	0.128161i
$791$		−	2.10217i		−	0.0747447i
$792$	−3.67532	−	6.84746i	−0.130597	−	0.243314i
$793$	−5.56500	−	5.56500i	−0.197619	−	0.197619i
$794$	1.13344	−	3.48837i	0.0402243	−	0.123798i
$795$	−8.27244	−	24.2734i	−0.293393	−	0.860889i
$796$	31.9192	+	23.1906i	1.13135	+	0.821971i
$797$	−17.9622	−	9.15220i	−0.636254	−	0.324188i	0.105940	−	0.994373i	$-0.466215\pi$
$797$	−17.9622	−	9.15220i	−0.636254	−	0.324188i	−0.742194	+	0.670185i	$0.766215\pi$
$798$	4.63367	+	2.36097i	0.164030	+	0.0835775i
$799$	−15.4127	−	11.1980i	−0.545261	−	0.396155i
$800$	−20.8532	−	19.6934i	−0.737273	−	0.696267i
$801$	0.328673	−	1.01155i	0.0116131	−	0.0357414i
$802$	−7.67981	−	7.67981i	−0.271184	−	0.271184i
$803$	22.7272	−	47.0645i	0.802026	−	1.66087i
$804$			20.3680i			0.718324i
$805$	23.3380	+	16.4514i	0.822555	+	0.579835i
$806$	−1.88128	+	1.36683i	−0.0662652	+	0.0481445i
$807$	−12.3670	+	1.95875i	−0.435340	+	0.0689511i
$808$	19.1577	−	37.5990i	0.673964	−	1.32273i
$809$	0.199377	+	0.613621i	0.00700974	+	0.0215738i	0.954500	−	0.298210i	$-0.0963897\pi$
$809$	0.199377	+	0.613621i	0.00700974	+	0.0215738i	−0.947490	+	0.319784i	$0.896390\pi$
$810$	−0.208904	+	1.45315i	−0.00734013	+	0.0510584i
$811$	−6.72652	−	9.25826i	−0.236200	−	0.325101i	0.674419	−	0.738349i	$-0.264394\pi$
$811$	−6.72652	−	9.25826i	−0.236200	−	0.325101i	−0.910619	+	0.413248i	$0.864394\pi$
$812$	3.29061	+	6.45819i	0.115478	+	0.226638i
$813$	−5.90294	+	5.90294i	−0.207025	+	0.207025i
$814$	0.298530	+	13.9684i	0.0104635	+	0.489593i
$815$	3.47823	+	6.59168i	0.121837	+	0.230896i
$816$	6.34805	+	2.06261i	0.222226	+	0.0722056i
$817$	−0.370148	+	2.33702i	−0.0129498	+	0.0817621i
$818$	−0.598766	−	3.78046i	−0.0209354	−	0.132181i
$819$	−1.23024	+	0.399730i	−0.0429881	+	0.0139677i
$820$	0.130910	+	9.15492i	0.00457157	+	0.319704i
$821$	−2.47494	+	3.40646i	−0.0863760	+	0.118886i	−0.850018	−	0.526753i	$-0.823409\pi$
$821$	−2.47494	+	3.40646i	−0.0863760	+	0.118886i	0.763642	+	0.645640i	$0.223409\pi$
$822$	−3.39980	−	0.538475i	−0.118582	−	0.0187815i
$823$	−21.2846	+	10.8451i	−0.741936	+	0.378035i	−0.783739	−	0.621091i	$-0.786690\pi$
$823$	−21.2846	+	10.8451i	−0.741936	+	0.378035i	0.0418027	+	0.999126i	$0.486690\pi$
$824$	−0.188073			−0.00655183
$825$	11.1258	−	12.2971i	0.387349	−	0.428129i
$826$	−0.421851			−0.0146781
$827$	−20.0526	+	10.2173i	−0.697296	+	0.355290i	−0.766439	−	0.642317i	$-0.777973\pi$
$827$	−20.0526	+	10.2173i	−0.697296	+	0.355290i	0.0691436	+	0.997607i	$0.477973\pi$
$828$	8.65043	+	1.37009i	0.300623	+	0.0476141i
$829$	0.00980560	−	0.0134963i	0.000340563	−	0.000468744i	−0.808847	−	0.588020i	$-0.799908\pi$
$829$	0.00980560	−	0.0134963i	0.000340563	−	0.000468744i	0.809187	+	0.587551i	$0.199908\pi$
$830$	0.0998933	+	6.98584i	0.00346735	+	0.242482i
$831$	−12.9170	+	4.19697i	−0.448084	+	0.145591i
$832$	0.0501885	+	0.316878i	0.00173997	+	0.0109858i
$833$	1.15368	−	7.28404i	0.0399726	−	0.252377i
$834$	11.0771	+	3.59918i	0.383570	+	0.124629i
$835$	8.07041	+	15.2944i	0.279288	+	0.529286i
$836$	−14.8001	−	10.2770i	−0.511873	−	0.355439i
$837$	4.42889	−	4.42889i	0.153085	−	0.153085i
$838$	−2.79981	−	5.49494i	−0.0967179	−	0.189820i
$839$	−18.8370	−	25.9269i	−0.650325	−	0.895095i	0.348789	−	0.937201i	$-0.386593\pi$
$839$	−18.8370	−	25.9269i	−0.650325	−	0.895095i	−0.999113	+	0.0421065i	$0.986593\pi$
$840$	1.70550	−	11.8636i	0.0588453	−	0.409332i
$841$	−7.70113	−	23.7016i	−0.265556	−	0.817298i
$842$	0.692851	−	1.35980i	0.0238772	−	0.0468617i
$843$	18.1801	−	2.87945i	0.626157	−	0.0991735i
$844$	24.0605	−	17.4810i	0.828197	−	0.601720i
$845$	−23.1747	−	16.3363i	−0.797234	−	0.561986i
$846$			2.99730i			0.103049i
$847$	−21.9116	+	12.3711i	−0.752893	+	0.425076i
$848$	12.9708	+	12.9708i	0.445420	+	0.445420i
$849$	3.29250	−	10.1333i	0.112998	−	0.347773i
$850$	−0.391700	−	13.6936i	−0.0134352	−	0.469686i
$851$	−28.9769	−	21.0529i	−0.993314	−	0.721685i
$852$	−12.4011	−	6.31867i	−0.424855	−	0.216474i
$853$	9.34980	+	4.76396i	0.320131	+	0.163115i	0.606670	−	0.794954i	$-0.292505\pi$
$853$	9.34980	+	4.76396i	0.320131	+	0.163115i	−0.286539	+	0.958069i	$0.592505\pi$
$854$	16.9103	+	12.2861i	0.578659	+	0.420420i
$855$	2.49769	+	7.32885i	0.0854192	+	0.250641i
$856$	−0.0926444	+	0.285130i	−0.00316652	+	0.00974555i
$857$	−14.6697	−	14.6697i	−0.501108	−	0.501108i	0.410674	−	0.911782i	$-0.365293\pi$
$857$	−14.6697	−	14.6697i	−0.501108	−	0.501108i	−0.911782	+	0.410674i	$0.865293\pi$
$858$	−1.21180	+	0.218568i	−0.0413701	+	0.00746179i
$859$		−	38.5996i		−	1.31700i	−0.752580	−	0.658501i	$-0.771191\pi$
$859$		−	38.5996i		−	1.31700i	0.752580	−	0.658501i	$-0.228809\pi$
$860$	2.36219	−	0.408838i	0.0805501	−	0.0139413i
$861$	−4.82981	+	3.50906i	−0.164599	+	0.119589i
$862$	−4.14655	+	0.656749i	−0.141232	+	0.0223690i
$863$	−16.6832	+	32.7427i	−0.567904	+	1.11457i	0.411263	+	0.911517i	$0.365088\pi$
$863$	−16.6832	+	32.7427i	−0.567904	+	1.11457i	−0.979167	+	0.203057i	$0.934912\pi$
$864$	−1.77268	−	5.45574i	−0.0603077	−	0.185608i
$865$	−44.3231	−	6.37186i	−1.50703	−	0.216650i
$866$	3.67855	+	5.06309i	0.125002	+	0.172051i
$867$	0.188252	+	0.369465i	0.00639336	+	0.0125477i
$868$	−15.8952	+	15.8952i	−0.539520	+	0.539520i
$869$	−28.8668	−	37.9971i	−0.979239	−	1.28896i
$870$	0.875792	−	2.83259i	0.0296921	−	0.0960339i
$871$	6.98178	+	2.26852i	0.236569	+	0.0768658i
$872$	−4.37282	+	27.6089i	−0.148082	+	0.934955i
$873$	1.53682	+	9.70311i	0.0520135	+	0.328400i
$874$	−12.0697	+	3.92167i	−0.408262	+	0.132653i
$875$	25.0656	−	5.08040i	0.847372	−	0.171749i
$876$	14.5324	−	20.0021i	0.491004	−	0.675810i
$877$	−6.30935	−	0.999302i	−0.213051	−	0.0337440i	0.0489962	−	0.998799i	$-0.484398\pi$
$877$	−6.30935	−	0.999302i	−0.213051	−	0.0337440i	−0.262048	+	0.965055i	$0.584398\pi$
$878$	−5.27115	+	2.68579i	−0.177893	+	0.0906409i
$879$	23.7405			0.800746
$880$	−3.26094	+	11.4050i	−0.109926	+	0.384461i
$881$	12.3566			0.416303			0.208151	−	0.978097i	$-0.433255\pi$
$881$	12.3566			0.416303			0.208151	+	0.978097i	$0.433255\pi$
$882$	−1.03381	+	0.526755i	−0.0348103	+	0.0177368i
$883$	45.6149	+	7.22468i	1.53506	+	0.243130i	0.865988	−	0.500065i	$-0.166691\pi$
$883$	45.6149	+	7.22468i	1.53506	+	0.243130i	0.669075	+	0.743195i	$0.266691\pi$
$884$	2.17622	−	2.99531i	0.0731941	−	0.100743i
$885$	−0.450421	−	0.437721i	−0.0151407	−	0.0147138i
$886$	4.67797	−	1.51997i	0.157160	−	0.0510642i
$887$	−5.53339	−	34.9365i	−0.185793	−	1.17305i	−0.887576	−	0.460661i	$-0.847613\pi$
$887$	−5.53339	−	34.9365i	−0.185793	−	1.17305i	0.701783	−	0.712391i	$-0.252387\pi$
$888$	−2.35192	+	14.8494i	−0.0789253	+	0.498314i
$889$	20.5842	+	6.68821i	0.690372	+	0.224315i
$890$	1.38100	−	0.728713i	0.0462913	−	0.0244265i
$891$	3.13168	−	1.09206i	0.104915	−	0.0365853i
$892$	−14.9346	+	14.9346i	−0.500049	+	0.500049i
$893$	7.17663	+	14.0849i	0.240157	+	0.471334i
$894$	−5.89080	−	8.10799i	−0.197018	−	0.271172i
$895$	42.5249	−	31.8349i	1.42145	−	1.06412i
$896$	7.84677	+	24.1499i	0.262142	+	0.806791i
$897$	1.43310	−	2.81261i	0.0478498	−	0.0939104i
$898$	14.2118	−	2.25093i	0.474255	−	0.0751145i
$899$	−10.2335	+	7.43507i	−0.341306	+	0.247974i
$900$	6.21207	−	4.79059i	0.207069	−	0.159686i
$901$			47.8590i			1.59442i
$902$	−5.00722	+	2.68759i	−0.166722	+	0.0894868i
$903$	1.10531	+	1.10531i	0.0367823	+	0.0367823i
$904$	0.665415	−	2.04794i	0.0221314	−	0.0681133i
$905$	1.38957	−	0.473568i	0.0461908	−	0.0157419i
$906$	8.21217	+	5.96649i	0.272831	+	0.198223i
$907$	−35.4278	−	18.0513i	−1.17636	−	0.599385i	−0.247164	−	0.968974i	$-0.579499\pi$
$907$	−35.4278	−	18.0513i	−1.17636	−	0.599385i	−0.929195	+	0.369589i	$0.879499\pi$
$908$	18.4020	+	9.37631i	0.610693	+	0.311164i
$909$	14.5696	+	10.5854i	0.483242	+	0.351096i
$910$	−1.70422	−	0.837869i	−0.0564943	−	0.0277751i
$911$	−0.553716	+	1.70416i	−0.0183454	+	0.0564614i	−0.959810	−	0.280650i	$-0.909450\pi$
$911$	−0.553716	+	1.70416i	−0.0183454	+	0.0564614i	0.941465	+	0.337112i	$0.109450\pi$
$912$	−3.91627	−	3.91627i	−0.129681	−	0.129681i
$913$	13.9070	−	7.46448i	0.460255	−	0.247038i
$914$			23.5421i			0.778705i
$915$	5.30730	+	30.6646i	0.175454	+	1.01374i
$916$	11.5392	−	8.38372i	0.381266	−	0.277006i
$917$	28.1916	−	4.46511i	0.930969	−	0.147451i
$918$	1.24386	−	2.44121i	0.0410535	−	0.0805720i
$919$	−10.6238	−	32.6968i	−0.350448	−	1.07857i	−0.958602	−	0.284750i	$-0.908089\pi$
$919$	−10.6238	−	32.6968i	−0.350448	−	1.07857i	0.608153	−	0.793819i	$-0.291911\pi$
$920$	17.5284	+	23.4142i	0.577893	+	0.771945i
$921$	4.34983	+	5.98703i	0.143332	+	0.197279i
$922$	1.28027	+	2.51266i	0.0421633	+	0.0827501i
$923$	−3.54712	+	3.54712i	−0.116755	+	0.116755i
$924$	−11.2396	+	3.91939i	−0.369755	+	0.128938i
$925$	−31.5300	+	5.92259i	−1.03670	+	0.194734i
$926$	−5.81334	−	1.88887i	−0.191038	−	0.0620721i
$927$	0.0125560	−	0.0792756i	0.000412394	−	0.00260375i
$928$	1.81233	+	11.4426i	0.0594926	+	0.375621i
$929$	−17.1454	+	5.57087i	−0.562522	+	0.182774i	−0.576456	−	0.817129i	$-0.695565\pi$
$929$	−17.1454	+	5.57087i	−0.562522	+	0.182774i	0.0139338	+	0.999903i	$0.495565\pi$
$930$	9.19427	−	0.131472i	0.301492	−	0.00431115i
$931$	−3.59687	+	4.95066i	−0.117883	+	0.162251i
$932$	1.15136	+	0.182357i	0.0377140	+	0.00597330i
$933$	−22.2869	+	11.3557i	−0.729639	+	0.371770i
$934$	−3.43836			−0.112507
$935$	−27.0567	+	15.0247i	−0.884849	+	0.491360i
$936$	−1.32503			−0.0433099
$937$	28.9229	−	14.7369i	0.944868	−	0.481435i	0.0875153	−	0.996163i	$-0.472107\pi$
$937$	28.9229	−	14.7369i	0.944868	−	0.481435i	0.857353	+	0.514729i	$0.172107\pi$
$938$	−19.2572	−	3.05005i	−0.628771	−	0.0995875i
$939$	9.09982	−	12.5248i	0.296961	−	0.408732i
$940$	11.1620	−	11.4858i	0.364063	−	0.374626i
$941$	40.0452	−	13.0115i	1.30543	−	0.424161i	0.427966	−	0.903795i	$-0.359230\pi$
$941$	40.0452	−	13.0115i	1.30543	−	0.424161i	0.877469	+	0.479633i	$0.159230\pi$
$942$	1.58268	+	9.99263i	0.0515664	+	0.325578i
$943$	2.27903	−	14.3892i	0.0742154	−	0.468578i
$944$	0.427277	+	0.138831i	0.0139067	+	0.00451856i
$945$	4.88681	+	1.51092i	0.158968	+	0.0491503i
$946$	0.900131	+	1.18483i	0.0292658	+	0.0385223i
$947$	−9.88485	+	9.88485i	−0.321215	+	0.321215i	−0.849233	−	0.528018i	$-0.822935\pi$
$947$	−9.88485	+	9.88485i	−0.321215	+	0.321215i	0.528018	+	0.849233i	$0.322935\pi$
$948$	−10.2482	−	20.1131i	−0.332845	−	0.653245i
$949$	−5.23780	−	7.20921i	−0.170026	−	0.234021i
$950$	−4.86884	+	10.2715i	−0.157966	+	0.333253i
$951$	−6.70317	−	20.6302i	−0.217365	−	0.668981i
$952$	−10.1549	+	19.9302i	−0.329123	+	0.645940i
$953$	−26.0214	+	4.12138i	−0.842915	+	0.133505i	−0.562935	−	0.826501i	$-0.690328\pi$
$953$	−26.0214	+	4.12138i	−0.842915	+	0.133505i	−0.279980	+	0.960006i	$0.590328\pi$
$954$	6.09160	−	4.42581i	0.197223	−	0.143291i
$955$	−22.0499	+	31.2800i	−0.713518	+	1.01220i
$956$			16.1055i			0.520890i
$957$	−6.59177	+	1.18894i	−0.213082	+	0.0384328i
$958$	2.75658	+	2.75658i	0.0890610	+	0.0890610i
$959$	−3.70607	+	11.4061i	−0.119675	+	0.368323i
$960$	0.559729	−	1.13849i	0.0180652	−	0.0367445i
$961$	−6.65826	−	4.83751i	−0.214782	−	0.156049i
$962$	2.12251	+	1.08147i	0.0684325	+	0.0348681i
$963$	−0.114002	−	0.0580867i	−0.00367365	−	0.00187182i
$964$	−5.92016	−	4.30125i	−0.190676	−	0.138534i
$965$	7.94053	−	16.1510i	0.255615	−	0.519918i
$966$	−2.59075	+	7.97351i	−0.0833560	+	0.256543i
$967$	28.4717	+	28.4717i	0.915588	+	0.915588i	0.996705	−	0.0811170i	$-0.0258487\pi$
$967$	28.4717	+	28.4717i	0.915588	+	0.915588i	−0.0811170	+	0.996705i	$0.525849\pi$
$968$	−25.2622	+	5.11608i	−0.811958	+	0.164437i
$969$		−	14.4500i		−	0.464202i
$970$	−8.30969	+	11.7881i	−0.266808	+	0.378494i
$971$	−36.7071	+	26.6693i	−1.17799	+	0.855857i	−0.991943	−	0.126684i	$-0.959567\pi$
$971$	−36.7071	+	26.6693i	−1.17799	+	0.855857i	−0.186043	+	0.982542i	$0.559567\pi$
$972$	1.54963	−	0.245437i	0.0497043	−	0.00787239i
$973$	18.4233	−	36.1577i	0.590622	−	1.15916i
$974$	4.81542	+	14.8203i	0.154296	+	0.474875i
$975$	−0.950247	−	2.66294i	−0.0304323	−	0.0852825i
$976$	−13.0845	−	18.0092i	−0.418824	−	0.576462i
$977$	25.1178	+	49.2965i	0.803591	+	1.57714i	0.816588	+	0.577221i	$0.195863\pi$
$977$	25.1178	+	49.2965i	0.803591	+	1.57714i	−0.0129973	+	0.999916i	$0.504137\pi$
$978$	−1.54740	+	1.54740i	−0.0494804	+	0.0494804i
$979$	−2.89753	−	2.01201i	−0.0926056	−	0.0643043i
$980$	5.92328	+	1.83138i	0.189212	+	0.0585013i
$981$	−11.3456	−	3.68642i	−0.362238	−	0.117698i
$982$	−1.20996	+	7.63938i	−0.0386113	+	0.243782i
$983$	−2.07730	−	13.1155i	−0.0662555	−	0.418321i	−0.998415	−	0.0562739i	$-0.982078\pi$
$983$	−2.07730	−	13.1155i	−0.0662555	−	0.418321i	0.932160	−	0.362047i	$-0.117922\pi$
$984$	−5.81594	+	1.88971i	−0.185405	+	0.0602419i
$985$	2.30771	−	2.37467i	0.0735299	−	0.0756632i
$986$	−3.25237	+	4.47651i	−0.103577	+	0.142561i
$987$	10.3145	+	1.63366i	0.328314	+	0.0519999i
$988$	−2.73727	+	1.39471i	−0.0870842	+	0.0443716i
$989$	−3.81454			−0.121295
$990$	4.41446	+	2.05441i	0.140301	+	0.0652935i
$991$	−8.41599			−0.267343			−0.133671	−	0.991026i	$-0.542677\pi$
$991$	−8.41599			−0.267343			−0.133671	+	0.991026i	$0.542677\pi$
$992$	−32.0138	+	16.3119i	−1.01644	+	0.517902i
$993$	−12.1945	−	1.93142i	−0.386981	−	0.0612918i
$994$	7.83111	−	10.7786i	0.248388	−	0.341876i
$995$	−56.2247	+	0.803980i	−1.78244	+	0.0254879i
$996$	7.10108	−	2.30728i	0.225006	−	0.0731090i
$997$	8.46734	+	53.4607i	0.268163	+	1.69312i	0.642871	+	0.765974i	$0.277743\pi$
$997$	8.46734	+	53.4607i	0.268163	+	1.69312i	−0.374708	+	0.927143i	$0.622257\pi$
$998$	−0.460013	+	2.90441i	−0.0145615	+	0.0919374i
$999$	−6.10225	−	1.98274i	−0.193066	−	0.0627311i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.w.a.13.5	✓	96
3.2	odd	2		495.2.bj.c.343.8		96
5.2	odd	4	inner	165.2.w.a.112.5	yes	96
5.3	odd	4		825.2.cw.b.607.8		96
5.4	even	2		825.2.cw.b.343.8		96
11.6	odd	10	inner	165.2.w.a.28.5	yes	96
15.2	even	4		495.2.bj.c.442.8		96
33.17	even	10		495.2.bj.c.28.8		96
55.17	even	20	inner	165.2.w.a.127.5	yes	96
55.28	even	20		825.2.cw.b.457.8		96
55.39	odd	10		825.2.cw.b.193.8		96
165.17	odd	20		495.2.bj.c.127.8		96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.w.a.13.5	✓	96	1.1	even	1	trivial
165.2.w.a.28.5	yes	96	11.6	odd	10	inner
165.2.w.a.112.5	yes	96	5.2	odd	4	inner
165.2.w.a.127.5	yes	96	55.17	even	20	inner
495.2.bj.c.28.8		96	33.17	even	10
495.2.bj.c.127.8		96	165.17	odd	20
495.2.bj.c.343.8		96	3.2	odd	2
495.2.bj.c.442.8		96	15.2	even	4
825.2.cw.b.193.8		96	55.39	odd	10
825.2.cw.b.343.8		96	5.4	even	2
825.2.cw.b.457.8		96	55.28	even	20
825.2.cw.b.607.8		96	5.3	odd	4

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:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.584989 + 0.298067i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.922202 + 1.26930i) q^{4} +(-0.0319712 - 2.23584i) q^{5} +(0.624415 - 0.202885i) q^{6} +(-0.357848 - 2.25936i) q^{7} +(0.366555 - 2.31434i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(-0.584989 + 0.298067i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.922202 + 1.26930i) q^{4} +(-0.0319712 - 2.23584i) q^{5} +(0.624415 - 0.202885i) q^{6} +(-0.357848 - 2.25936i) q^{7} +(0.366555 - 2.31434i) q^{8} +(0.951057 + 0.309017i) q^{9} +(0.685133 + 1.29841i) q^{10} +(1.89169 - 2.72425i) q^{11} +(1.10941 - 1.10941i) q^{12} +(-0.256723 - 0.503848i) q^{13} +(0.882778 + 1.21504i) q^{14} +(-0.318185 + 2.21331i) q^{15} +(-0.494264 - 1.52119i) q^{16} +(1.89454 - 3.71825i) q^{17} +(-0.648466 + 0.102707i) q^{18} +(-2.80136 + 2.03531i) q^{19} +(2.86744 + 2.02131i) q^{20} +2.28752i q^{21} +(-0.294608 + 2.15750i) q^{22} +(-3.94726 - 3.94726i) q^{23} +(-0.724084 + 2.22850i) q^{24} +(-4.99796 + 0.142965i) q^{25} +(0.300361 + 0.218225i) q^{26} +(-0.891007 - 0.453990i) q^{27} +(3.19782 + 1.62937i) q^{28} +(1.63386 + 1.18707i) q^{29} +(-0.473581 - 1.38961i) q^{30} +(-1.93549 + 5.95684i) q^{31} +(4.05632 + 4.05632i) q^{32} +(-2.29456 + 2.39478i) q^{33} +2.73984i q^{34} +(-5.04013 + 0.872324i) q^{35} +(-1.26930 + 0.922202i) q^{36} +(6.33729 - 1.00373i) q^{37} +(1.03211 - 2.02563i) q^{38} +(0.174743 + 0.537805i) q^{39} +(-5.18621 - 0.745566i) q^{40} +(1.53400 + 2.11137i) q^{41} +(-0.681835 - 1.33818i) q^{42} +(0.483189 - 0.483189i) q^{43} +(1.71338 + 4.91343i) q^{44} +(0.660506 - 2.13629i) q^{45} +(3.48565 + 1.13256i) q^{46} +(0.714160 - 4.50903i) q^{47} +(0.250212 + 1.57978i) q^{48} +(1.68074 - 0.546106i) q^{49} +(2.88114 - 1.57336i) q^{50} +(-2.45288 + 3.37610i) q^{51} +(0.876286 + 0.138790i) q^{52} +(-10.2185 + 5.20659i) q^{53} +0.656549 q^{54} +(-6.15146 - 4.14241i) q^{55} -5.36009 q^{56} +(3.08526 - 1.57202i) q^{57} +(-1.30962 - 0.207423i) q^{58} +(-0.165099 + 0.227240i) q^{59} +(-2.51593 - 2.44499i) q^{60} +(13.2363 - 4.30075i) q^{61} +(-0.643293 - 4.06159i) q^{62} +(0.357848 - 2.25936i) q^{63} +(-0.539585 - 0.175322i) q^{64} +(-1.11832 + 0.590101i) q^{65} +(0.628489 - 2.08486i) q^{66} +(-9.17965 + 9.17965i) q^{67} +(2.97243 + 5.83372i) q^{68} +(3.28117 + 4.51615i) q^{69} +(2.68841 - 2.01260i) q^{70} +(-2.74129 - 8.43681i) q^{71} +(1.06378 - 2.08779i) q^{72} +(15.5644 - 2.46515i) q^{73} +(-3.40807 + 2.47611i) q^{74} +(4.95879 + 0.640648i) q^{75} -5.43274i q^{76} +(-6.83199 - 3.29914i) q^{77} +(-0.262525 - 0.262525i) q^{78} +(4.44605 - 13.6835i) q^{79} +(-3.38533 + 1.15373i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-1.52670 - 0.777894i) q^{82} +(4.24025 + 2.16052i) q^{83} +(-2.90356 - 2.10956i) q^{84} +(-8.37398 - 4.11702i) q^{85} +(-0.138638 + 0.426683i) q^{86} +(-1.42805 - 1.42805i) q^{87} +(-5.61142 - 5.37659i) q^{88} -1.06361i q^{89} +(0.250368 + 1.44658i) q^{90} +(-1.04651 + 0.760331i) q^{91} +(8.65043 - 1.37009i) q^{92} +(2.84352 - 5.58072i) q^{93} +(0.926216 + 2.85060i) q^{94} +(4.64018 + 6.19832i) q^{95} +(-3.37183 - 4.64093i) q^{96} +(4.46003 + 8.75330i) q^{97} +(-0.820440 + 0.820440i) q^{98} +(2.64094 - 2.00635i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q - 8 q^{5} - 20 q^{7}+O(q^{10}) \) 96 * q - 8 * q^5 - 20 * q^7	\( 96 q - 8 q^{5} - 20 q^{7} + 8 q^{11} - 16 q^{12} - 12 q^{15} + 8 q^{16} - 20 q^{17} - 60 q^{20} - 32 q^{22} + 32 q^{23} - 32 q^{25} - 60 q^{28} - 40 q^{30} + 16 q^{31} - 16 q^{33} + 24 q^{36} + 8 q^{37} + 56 q^{38} - 120 q^{41} + 12 q^{42} - 200 q^{46} + 60 q^{47} + 48 q^{48} + 80 q^{50} + 40 q^{51} + 40 q^{52} + 36 q^{53} + 80 q^{55} - 80 q^{56} + 40 q^{57} + 44 q^{58} + 48 q^{60} + 40 q^{61} + 80 q^{62} + 20 q^{63} + 56 q^{66} - 48 q^{67} + 80 q^{68} - 92 q^{70} + 32 q^{71} - 60 q^{73} - 24 q^{77} - 96 q^{78} - 80 q^{80} + 24 q^{81} + 32 q^{82} - 200 q^{83} - 80 q^{85} - 80 q^{86} - 144 q^{88} + 56 q^{91} + 20 q^{92} - 72 q^{93} + 60 q^{95} + 32 q^{97}+O(q^{100}) \) 96 * q - 8 * q^5 - 20 * q^7 + 8 * q^11 - 16 * q^12 - 12 * q^15 + 8 * q^16 - 20 * q^17 - 60 * q^20 - 32 * q^22 + 32 * q^23 - 32 * q^25 - 60 * q^28 - 40 * q^30 + 16 * q^31 - 16 * q^33 + 24 * q^36 + 8 * q^37 + 56 * q^38 - 120 * q^41 + 12 * q^42 - 200 * q^46 + 60 * q^47 + 48 * q^48 + 80 * q^50 + 40 * q^51 + 40 * q^52 + 36 * q^53 + 80 * q^55 - 80 * q^56 + 40 * q^57 + 44 * q^58 + 48 * q^60 + 40 * q^61 + 80 * q^62 + 20 * q^63 + 56 * q^66 - 48 * q^67 + 80 * q^68 - 92 * q^70 + 32 * q^71 - 60 * q^73 - 24 * q^77 - 96 * q^78 - 80 * q^80 + 24 * q^81 + 32 * q^82 - 200 * q^83 - 80 * q^85 - 80 * q^86 - 144 * q^88 + 56 * q^91 + 20 * q^92 - 72 * q^93 + 60 * q^95 + 32 * q^97

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